[
    {
        "id": "shortest_path-easy-graph301",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge between node 0 and node 6 with weight 2,\nan edge between node 1 and node 0 with weight 2,\nan edge between node 3 and node 0 with weight 3,\nan edge between node 5 and node 0 with weight 3,\nan edge between node 4 and node 1 with weight 1,\nan edge between node 6 and node 1 with weight 1,\nan edge between node 2 and node 1 with weight 2,\nan edge between node 1 and node 3 with weight 3,\nan edge between node 8 and node 1 with weight 1,\nan edge between node 9 and node 2 with weight 1,\nan edge between node 2 and node 4 with weight 2,\nan edge between node 2 and node 6 with weight 1,\nan edge between node 2 and node 3 with weight 2,\nan edge between node 8 and node 2 with weight 3,\nan edge between node 4 and node 6 with weight 2,\nan edge between node 5 and node 4 with weight 3,\nan edge between node 5 and node 9 with weight 4,\nan edge between node 5 and node 6 with weight 4,\nan edge between node 5 and node 7 with weight 3,\nan edge between node 5 and node 8 with weight 3,\nan edge between node 9 and node 7 with weight 3,\nan edge between node 8 and node 9 with weight 4,\nQ: Give the shortest path from node 9 to node 4:"
            },
            {
                "from": "gpt",
                "value": "9->2->4."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph222",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge between node 1 and node 0 with weight 4,\nan edge between node 0 and node 7 with weight 3,\nan edge between node 0 and node 3 with weight 4,\nan edge between node 2 and node 0 with weight 1,\nan edge between node 0 and node 6 with weight 2,\nan edge between node 0 and node 4 with weight 2,\nan edge between node 1 and node 7 with weight 1,\nan edge between node 3 and node 1 with weight 2,\nan edge between node 5 and node 1 with weight 4,\nan edge between node 2 and node 1 with weight 2,\nan edge between node 6 and node 1 with weight 1,\nan edge between node 1 and node 4 with weight 1,\nan edge between node 7 and node 2 with weight 4,\nan edge between node 2 and node 3 with weight 4,\nan edge between node 2 and node 5 with weight 3,\nan edge between node 6 and node 2 with weight 3,\nan edge between node 4 and node 2 with weight 2,\nan edge between node 3 and node 7 with weight 1,\nan edge between node 5 and node 3 with weight 2,\nan edge between node 6 and node 3 with weight 3,\nan edge between node 4 and node 3 with weight 3,\nan edge between node 4 and node 7 with weight 2,\nan edge between node 4 and node 5 with weight 1,\nan edge between node 6 and node 4 with weight 3,\nan edge between node 7 and node 5 with weight 3,\nan edge between node 5 and node 6 with weight 3,\nan edge between node 6 and node 7 with weight 3,\nQ: Give the shortest path from node 5 to node 0:"
            },
            {
                "from": "gpt",
                "value": "5->4->0."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph9",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 4, and the edges are:\nan edge between node 2 and node 0 with weight 3,\nan edge between node 3 and node 0 with weight 3,\nan edge between node 1 and node 4 with weight 3,\nan edge between node 2 and node 1 with weight 2,\nan edge between node 1 and node 3 with weight 4,\nan edge between node 2 and node 4 with weight 1,\nQ: Give the shortest path from node 1 to node 0:"
            },
            {
                "from": "gpt",
                "value": "1->2->0."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph60",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge between node 0 and node 4 with weight 4,\nan edge between node 0 and node 3 with weight 1,\nan edge between node 2 and node 0 with weight 4,\nan edge between node 1 and node 3 with weight 2,\nan edge between node 4 and node 3 with weight 2,\nan edge between node 5 and node 4 with weight 1,\nQ: Give the shortest path from node 4 to node 1:"
            },
            {
                "from": "gpt",
                "value": "4->3->1."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph151",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge between node 5 and node 0 with weight 2,\nan edge between node 0 and node 3 with weight 1,\nan edge between node 0 and node 6 with weight 4,\nan edge between node 5 and node 1 with weight 2,\nan edge between node 1 and node 3 with weight 3,\nan edge between node 2 and node 1 with weight 3,\nan edge between node 1 and node 6 with weight 3,\nan edge between node 4 and node 1 with weight 3,\nan edge between node 5 and node 2 with weight 3,\nan edge between node 3 and node 2 with weight 2,\nan edge between node 6 and node 2 with weight 3,\nan edge between node 2 and node 4 with weight 1,\nan edge between node 5 and node 3 with weight 4,\nan edge between node 6 and node 3 with weight 3,\nan edge between node 4 and node 3 with weight 2,\nan edge between node 5 and node 4 with weight 4,\nan edge between node 5 and node 6 with weight 3,\nQ: Give the shortest path from node 0 to node 1:"
            },
            {
                "from": "gpt",
                "value": "0->3->1."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph190",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge between node 3 and node 0 with weight 3,\nan edge between node 5 and node 0 with weight 2,\nan edge between node 0 and node 1 with weight 4,\nan edge between node 4 and node 0 with weight 4,\nan edge between node 1 and node 2 with weight 1,\nan edge between node 1 and node 5 with weight 4,\nan edge between node 1 and node 7 with weight 3,\nan edge between node 5 and node 2 with weight 4,\nan edge between node 2 and node 6 with weight 3,\nan edge between node 2 and node 4 with weight 4,\nan edge between node 3 and node 5 with weight 4,\nan edge between node 7 and node 3 with weight 4,\nan edge between node 6 and node 3 with weight 2,\nan edge between node 4 and node 3 with weight 3,\nan edge between node 6 and node 5 with weight 3,\nQ: Give the shortest path from node 3 to node 2:"
            },
            {
                "from": "gpt",
                "value": "3->6->2."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph219",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge between node 0 and node 1 with weight 3,\nan edge between node 3 and node 0 with weight 4,\nan edge between node 0 and node 2 with weight 2,\nan edge between node 0 and node 4 with weight 4,\nan edge between node 0 and node 6 with weight 2,\nan edge between node 5 and node 0 with weight 2,\nan edge between node 3 and node 1 with weight 1,\nan edge between node 1 and node 2 with weight 2,\nan edge between node 1 and node 4 with weight 2,\nan edge between node 1 and node 6 with weight 3,\nan edge between node 3 and node 2 with weight 2,\nan edge between node 4 and node 2 with weight 4,\nan edge between node 6 and node 2 with weight 4,\nan edge between node 2 and node 5 with weight 1,\nan edge between node 3 and node 7 with weight 3,\nan edge between node 3 and node 4 with weight 3,\nan edge between node 3 and node 6 with weight 3,\nan edge between node 5 and node 3 with weight 4,\nan edge between node 7 and node 4 with weight 2,\nan edge between node 4 and node 6 with weight 2,\nan edge between node 5 and node 7 with weight 3,\nan edge between node 5 and node 6 with weight 3,\nQ: Give the shortest path from node 1 to node 7:"
            },
            {
                "from": "gpt",
                "value": "1->3->7."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph246",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge between node 0 and node 8 with weight 2,\nan edge between node 6 and node 0 with weight 2,\nan edge between node 7 and node 0 with weight 1,\nan edge between node 3 and node 0 with weight 1,\nan edge between node 2 and node 0 with weight 4,\nan edge between node 1 and node 6 with weight 3,\nan edge between node 2 and node 1 with weight 1,\nan edge between node 8 and node 2 with weight 4,\nan edge between node 2 and node 3 with weight 3,\nan edge between node 3 and node 8 with weight 3,\nan edge between node 8 and node 4 with weight 3,\nan edge between node 4 and node 5 with weight 1,\nan edge between node 7 and node 4 with weight 2,\nan edge between node 5 and node 7 with weight 4,\nan edge between node 7 and node 6 with weight 2,\nQ: Give the shortest path from node 8 to node 5:"
            },
            {
                "from": "gpt",
                "value": "8->4->5."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph39",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 4, and the edges are:\nan edge between node 0 and node 1 with weight 1,\nan edge between node 0 and node 3 with weight 2,\nan edge between node 1 and node 2 with weight 1,\nan edge between node 2 and node 4 with weight 4,\nQ: Give the shortest path from node 4 to node 1:"
            },
            {
                "from": "gpt",
                "value": "4->2->1."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph166",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge between node 3 and node 0 with weight 3,\nan edge between node 0 and node 4 with weight 3,\nan edge between node 0 and node 6 with weight 1,\nan edge between node 0 and node 5 with weight 4,\nan edge between node 2 and node 0 with weight 1,\nan edge between node 1 and node 0 with weight 1,\nan edge between node 1 and node 4 with weight 2,\nan edge between node 1 and node 6 with weight 2,\nan edge between node 1 and node 2 with weight 3,\nan edge between node 2 and node 3 with weight 2,\nan edge between node 4 and node 2 with weight 4,\nan edge between node 6 and node 2 with weight 3,\nan edge between node 2 and node 5 with weight 1,\nan edge between node 3 and node 4 with weight 3,\nan edge between node 4 and node 6 with weight 3,\nan edge between node 5 and node 4 with weight 1,\nQ: Give the shortest path from node 3 to node 6:"
            },
            {
                "from": "gpt",
                "value": "3->0->6."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph171",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge between node 0 and node 2 with weight 1,\nan edge between node 5 and node 0 with weight 4,\nan edge between node 0 and node 4 with weight 1,\nan edge between node 0 and node 3 with weight 4,\nan edge between node 1 and node 0 with weight 1,\nan edge between node 0 and node 6 with weight 3,\nan edge between node 1 and node 2 with weight 3,\nan edge between node 5 and node 1 with weight 1,\nan edge between node 4 and node 1 with weight 1,\nan edge between node 1 and node 3 with weight 1,\nan edge between node 1 and node 6 with weight 3,\nan edge between node 5 and node 2 with weight 3,\nan edge between node 2 and node 4 with weight 2,\nan edge between node 3 and node 2 with weight 4,\nan edge between node 6 and node 2 with weight 2,\nan edge between node 3 and node 5 with weight 1,\nan edge between node 3 and node 4 with weight 4,\nan edge between node 3 and node 6 with weight 3,\nan edge between node 5 and node 4 with weight 3,\nan edge between node 6 and node 5 with weight 2,\nQ: Give the shortest path from node 4 to node 6:"
            },
            {
                "from": "gpt",
                "value": "4->0->6."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph68",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge between node 0 and node 4 with weight 2,\nan edge between node 0 and node 1 with weight 1,\nan edge between node 5 and node 1 with weight 1,\nan edge between node 1 and node 3 with weight 4,\nan edge between node 1 and node 2 with weight 2,\nan edge between node 4 and node 1 with weight 4,\nan edge between node 2 and node 5 with weight 3,\nan edge between node 4 and node 3 with weight 4,\nan edge between node 5 and node 4 with weight 4,\nQ: Give the shortest path from node 5 to node 0:"
            },
            {
                "from": "gpt",
                "value": "5->1->0."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph201",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge between node 1 and node 0 with weight 1,\nan edge between node 6 and node 0 with weight 4,\nan edge between node 4 and node 0 with weight 1,\nan edge between node 5 and node 0 with weight 3,\nan edge between node 0 and node 2 with weight 1,\nan edge between node 3 and node 0 with weight 4,\nan edge between node 6 and node 1 with weight 2,\nan edge between node 1 and node 4 with weight 3,\nan edge between node 7 and node 1 with weight 4,\nan edge between node 1 and node 5 with weight 2,\nan edge between node 3 and node 1 with weight 2,\nan edge between node 2 and node 6 with weight 3,\nan edge between node 4 and node 2 with weight 2,\nan edge between node 2 and node 7 with weight 2,\nan edge between node 5 and node 2 with weight 4,\nan edge between node 6 and node 3 with weight 2,\nan edge between node 3 and node 4 with weight 3,\nan edge between node 5 and node 3 with weight 2,\nan edge between node 6 and node 4 with weight 4,\nan edge between node 4 and node 7 with weight 2,\nan edge between node 5 and node 4 with weight 2,\nan edge between node 6 and node 5 with weight 2,\nQ: Give the shortest path from node 1 to node 2:"
            },
            {
                "from": "gpt",
                "value": "1->0->2."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph207",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge between node 0 and node 1 with weight 2,\nan edge between node 7 and node 0 with weight 4,\nan edge between node 6 and node 0 with weight 4,\nan edge between node 0 and node 5 with weight 1,\nan edge between node 4 and node 1 with weight 1,\nan edge between node 1 and node 7 with weight 3,\nan edge between node 1 and node 3 with weight 3,\nan edge between node 1 and node 6 with weight 4,\nan edge between node 2 and node 7 with weight 2,\nan edge between node 2 and node 3 with weight 2,\nan edge between node 2 and node 6 with weight 2,\nan edge between node 5 and node 2 with weight 1,\nan edge between node 3 and node 4 with weight 4,\nan edge between node 7 and node 3 with weight 3,\nan edge between node 3 and node 5 with weight 4,\nan edge between node 4 and node 7 with weight 4,\nan edge between node 6 and node 4 with weight 4,\nan edge between node 4 and node 5 with weight 1,\nan edge between node 6 and node 7 with weight 1,\nQ: Give the shortest path from node 4 to node 2:"
            },
            {
                "from": "gpt",
                "value": "4->5->2."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph98",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge between node 3 and node 0 with weight 3,\nan edge between node 0 and node 2 with weight 4,\nan edge between node 0 and node 5 with weight 1,\nan edge between node 4 and node 0 with weight 3,\nan edge between node 1 and node 2 with weight 1,\nan edge between node 1 and node 5 with weight 1,\nan edge between node 3 and node 2 with weight 2,\nan edge between node 5 and node 2 with weight 3,\nan edge between node 4 and node 2 with weight 3,\nan edge between node 3 and node 5 with weight 2,\nan edge between node 4 and node 3 with weight 4,\nan edge between node 5 and node 4 with weight 2,\nQ: Give the shortest path from node 0 to node 1:"
            },
            {
                "from": "gpt",
                "value": "0->5->1."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph8",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 4, and the edges are:\nan edge between node 3 and node 0 with weight 3,\nan edge between node 0 and node 2 with weight 4,\nan edge between node 1 and node 3 with weight 4,\nan edge between node 2 and node 1 with weight 3,\nan edge between node 2 and node 3 with weight 3,\nan edge between node 4 and node 2 with weight 3,\nQ: Give the shortest path from node 0 to node 1:"
            },
            {
                "from": "gpt",
                "value": "0->3->1."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph321",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge between node 0 and node 2 with weight 2,\nan edge between node 0 and node 9 with weight 3,\nan edge between node 5 and node 0 with weight 2,\nan edge between node 0 and node 8 with weight 3,\nan edge between node 1 and node 2 with weight 2,\nan edge between node 1 and node 3 with weight 4,\nan edge between node 1 and node 9 with weight 2,\nan edge between node 6 and node 1 with weight 4,\nan edge between node 1 and node 7 with weight 4,\nan edge between node 3 and node 2 with weight 4,\nan edge between node 9 and node 2 with weight 3,\nan edge between node 6 and node 2 with weight 3,\nan edge between node 2 and node 5 with weight 4,\nan edge between node 8 and node 2 with weight 2,\nan edge between node 2 and node 7 with weight 2,\nan edge between node 4 and node 2 with weight 1,\nan edge between node 3 and node 9 with weight 4,\nan edge between node 3 and node 6 with weight 3,\nan edge between node 3 and node 8 with weight 3,\nan edge between node 7 and node 3 with weight 2,\nan edge between node 9 and node 4 with weight 1,\nan edge between node 4 and node 6 with weight 4,\nan edge between node 4 and node 5 with weight 4,\nan edge between node 7 and node 4 with weight 4,\nan edge between node 9 and node 5 with weight 3,\nan edge between node 5 and node 6 with weight 2,\nan edge between node 8 and node 5 with weight 3,\nan edge between node 8 and node 6 with weight 1,\nan edge between node 6 and node 7 with weight 1,\nan edge between node 7 and node 9 with weight 4,\nQ: Give the shortest path from node 1 to node 0:"
            },
            {
                "from": "gpt",
                "value": "1->2->0."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph50",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 4, and the edges are:\nan edge between node 0 and node 4 with weight 3,\nan edge between node 0 and node 2 with weight 2,\nan edge between node 0 and node 1 with weight 3,\nan edge between node 2 and node 1 with weight 4,\nan edge between node 3 and node 1 with weight 4,\nan edge between node 2 and node 4 with weight 2,\nan edge between node 2 and node 3 with weight 1,\nan edge between node 3 and node 4 with weight 3,\nQ: Give the shortest path from node 4 to node 1:"
            },
            {
                "from": "gpt",
                "value": "4->2->1."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph96",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge between node 4 and node 0 with weight 2,\nan edge between node 0 and node 5 with weight 3,\nan edge between node 0 and node 2 with weight 2,\nan edge between node 1 and node 2 with weight 1,\nan edge between node 1 and node 3 with weight 4,\nan edge between node 2 and node 4 with weight 1,\nan edge between node 3 and node 2 with weight 2,\nan edge between node 5 and node 4 with weight 1,\nQ: Give the shortest path from node 4 to node 1:"
            },
            {
                "from": "gpt",
                "value": "4->2->1."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph213",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge between node 7 and node 0 with weight 1,\nan edge between node 6 and node 0 with weight 4,\nan edge between node 5 and node 0 with weight 4,\nan edge between node 0 and node 4 with weight 1,\nan edge between node 1 and node 0 with weight 2,\nan edge between node 1 and node 6 with weight 1,\nan edge between node 5 and node 1 with weight 1,\nan edge between node 4 and node 1 with weight 1,\nan edge between node 1 and node 2 with weight 2,\nan edge between node 3 and node 1 with weight 1,\nan edge between node 2 and node 7 with weight 1,\nan edge between node 2 and node 6 with weight 4,\nan edge between node 2 and node 4 with weight 4,\nan edge between node 2 and node 3 with weight 3,\nan edge between node 6 and node 3 with weight 3,\nan edge between node 4 and node 3 with weight 3,\nan edge between node 6 and node 4 with weight 1,\nan edge between node 4 and node 5 with weight 1,\nan edge between node 5 and node 7 with weight 3,\nan edge between node 5 and node 6 with weight 3,\nan edge between node 7 and node 6 with weight 4,\nQ: Give the shortest path from node 7 to node 4:"
            },
            {
                "from": "gpt",
                "value": "7->0->4."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph87",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge between node 5 and node 0 with weight 1,\nan edge between node 1 and node 0 with weight 4,\nan edge between node 3 and node 0 with weight 2,\nan edge between node 4 and node 0 with weight 1,\nan edge between node 3 and node 1 with weight 4,\nan edge between node 1 and node 2 with weight 1,\nan edge between node 2 and node 5 with weight 4,\nan edge between node 3 and node 2 with weight 2,\nan edge between node 4 and node 2 with weight 1,\nan edge between node 3 and node 4 with weight 3,\nan edge between node 5 and node 4 with weight 3,\nQ: Give the shortest path from node 5 to node 1:"
            },
            {
                "from": "gpt",
                "value": "5->0->4->2->1."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph28",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 4, and the edges are:\nan edge between node 0 and node 3 with weight 2,\nan edge between node 0 and node 4 with weight 2,\nan edge between node 1 and node 0 with weight 2,\nan edge between node 0 and node 2 with weight 1,\nan edge between node 1 and node 3 with weight 2,\nan edge between node 4 and node 1 with weight 1,\nan edge between node 2 and node 1 with weight 4,\nan edge between node 2 and node 3 with weight 3,\nan edge between node 4 and node 3 with weight 1,\nQ: Give the shortest path from node 4 to node 2:"
            },
            {
                "from": "gpt",
                "value": "4->0->2."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph5",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 4, and the edges are:\nan edge between node 3 and node 0 with weight 3,\nan edge between node 4 and node 0 with weight 1,\nan edge between node 2 and node 0 with weight 4,\nan edge between node 3 and node 1 with weight 2,\nan edge between node 1 and node 2 with weight 3,\nan edge between node 2 and node 3 with weight 4,\nan edge between node 3 and node 4 with weight 2,\nQ: Give the shortest path from node 0 to node 1:"
            },
            {
                "from": "gpt",
                "value": "0->3->1."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph348",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge between node 0 and node 6 with weight 4,\nan edge between node 9 and node 0 with weight 4,\nan edge between node 8 and node 0 with weight 4,\nan edge between node 7 and node 0 with weight 2,\nan edge between node 4 and node 0 with weight 3,\nan edge between node 0 and node 5 with weight 4,\nan edge between node 2 and node 0 with weight 1,\nan edge between node 1 and node 0 with weight 1,\nan edge between node 1 and node 3 with weight 3,\nan edge between node 6 and node 1 with weight 1,\nan edge between node 9 and node 1 with weight 1,\nan edge between node 8 and node 1 with weight 1,\nan edge between node 7 and node 1 with weight 3,\nan edge between node 1 and node 4 with weight 2,\nan edge between node 5 and node 1 with weight 1,\nan edge between node 1 and node 2 with weight 3,\nan edge between node 3 and node 2 with weight 4,\nan edge between node 6 and node 2 with weight 4,\nan edge between node 2 and node 9 with weight 3,\nan edge between node 2 and node 8 with weight 3,\nan edge between node 7 and node 2 with weight 2,\nan edge between node 2 and node 5 with weight 3,\nan edge between node 6 and node 3 with weight 3,\nan edge between node 3 and node 9 with weight 2,\nan edge between node 8 and node 3 with weight 4,\nan edge between node 7 and node 3 with weight 3,\nan edge between node 3 and node 4 with weight 1,\nan edge between node 3 and node 5 with weight 1,\nan edge between node 4 and node 6 with weight 2,\nan edge between node 9 and node 4 with weight 3,\nan edge between node 8 and node 4 with weight 4,\nan edge between node 4 and node 7 with weight 3,\nan edge between node 5 and node 4 with weight 4,\nan edge between node 5 and node 6 with weight 2,\nan edge between node 9 and node 5 with weight 3,\nan edge between node 8 and node 5 with weight 3,\nan edge between node 7 and node 5 with weight 2,\nan edge between node 9 and node 6 with weight 3,\nan edge between node 6 and node 8 with weight 1,\nan edge between node 7 and node 6 with weight 3,\nan edge between node 7 and node 8 with weight 3,\nan edge between node 8 and node 9 with weight 3,\nQ: Give the shortest path from node 3 to node 0:"
            },
            {
                "from": "gpt",
                "value": "3->5->1->0."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph317",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge between node 0 and node 3 with weight 3,\nan edge between node 0 and node 7 with weight 2,\nan edge between node 2 and node 1 with weight 4,\nan edge between node 1 and node 5 with weight 2,\nan edge between node 1 and node 3 with weight 2,\nan edge between node 4 and node 1 with weight 2,\nan edge between node 1 and node 6 with weight 2,\nan edge between node 7 and node 1 with weight 1,\nan edge between node 2 and node 5 with weight 1,\nan edge between node 3 and node 2 with weight 3,\nan edge between node 7 and node 2 with weight 1,\nan edge between node 3 and node 5 with weight 1,\nan edge between node 3 and node 4 with weight 4,\nan edge between node 9 and node 3 with weight 4,\nan edge between node 7 and node 3 with weight 4,\nan edge between node 4 and node 8 with weight 4,\nan edge between node 4 and node 6 with weight 4,\nan edge between node 5 and node 8 with weight 1,\nan edge between node 5 and node 9 with weight 3,\nan edge between node 9 and node 6 with weight 1,\nan edge between node 9 and node 8 with weight 2,\nQ: Give the shortest path from node 2 to node 8:"
            },
            {
                "from": "gpt",
                "value": "2->5->8."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph74",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge between node 5 and node 0 with weight 4,\nan edge between node 0 and node 3 with weight 1,\nan edge between node 4 and node 0 with weight 2,\nan edge between node 2 and node 0 with weight 2,\nan edge between node 1 and node 5 with weight 3,\nan edge between node 3 and node 1 with weight 3,\nan edge between node 2 and node 1 with weight 2,\nan edge between node 3 and node 2 with weight 4,\nan edge between node 4 and node 2 with weight 2,\nQ: Give the shortest path from node 5 to node 3:"
            },
            {
                "from": "gpt",
                "value": "5->0->3."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph142",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge between node 1 and node 0 with weight 4,\nan edge between node 0 and node 5 with weight 2,\nan edge between node 6 and node 0 with weight 2,\nan edge between node 4 and node 1 with weight 4,\nan edge between node 5 and node 1 with weight 2,\nan edge between node 1 and node 6 with weight 3,\nan edge between node 3 and node 2 with weight 4,\nan edge between node 4 and node 2 with weight 4,\nan edge between node 5 and node 2 with weight 1,\nan edge between node 6 and node 2 with weight 1,\nan edge between node 4 and node 3 with weight 1,\nan edge between node 3 and node 6 with weight 2,\nan edge between node 5 and node 4 with weight 3,\nan edge between node 4 and node 6 with weight 4,\nQ: Give the shortest path from node 3 to node 0:"
            },
            {
                "from": "gpt",
                "value": "3->6->0."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph350",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge between node 0 and node 8 with weight 2,\nan edge between node 0 and node 7 with weight 4,\nan edge between node 0 and node 9 with weight 2,\nan edge between node 0 and node 4 with weight 3,\nan edge between node 0 and node 6 with weight 4,\nan edge between node 0 and node 5 with weight 2,\nan edge between node 0 and node 3 with weight 2,\nan edge between node 0 and node 2 with weight 4,\nan edge between node 0 and node 1 with weight 1,\nan edge between node 8 and node 1 with weight 1,\nan edge between node 1 and node 7 with weight 2,\nan edge between node 1 and node 9 with weight 3,\nan edge between node 1 and node 4 with weight 4,\nan edge between node 5 and node 1 with weight 4,\nan edge between node 1 and node 3 with weight 1,\nan edge between node 2 and node 1 with weight 4,\nan edge between node 8 and node 2 with weight 3,\nan edge between node 7 and node 2 with weight 4,\nan edge between node 9 and node 2 with weight 4,\nan edge between node 2 and node 4 with weight 1,\nan edge between node 2 and node 6 with weight 3,\nan edge between node 2 and node 5 with weight 2,\nan edge between node 3 and node 2 with weight 3,\nan edge between node 3 and node 8 with weight 1,\nan edge between node 7 and node 3 with weight 4,\nan edge between node 9 and node 3 with weight 1,\nan edge between node 3 and node 4 with weight 4,\nan edge between node 3 and node 6 with weight 2,\nan edge between node 3 and node 5 with weight 4,\nan edge between node 4 and node 8 with weight 4,\nan edge between node 7 and node 4 with weight 1,\nan edge between node 9 and node 4 with weight 3,\nan edge between node 6 and node 4 with weight 4,\nan edge between node 4 and node 5 with weight 3,\nan edge between node 8 and node 5 with weight 1,\nan edge between node 7 and node 5 with weight 2,\nan edge between node 9 and node 5 with weight 4,\nan edge between node 5 and node 6 with weight 3,\nan edge between node 8 and node 6 with weight 3,\nan edge between node 6 and node 7 with weight 4,\nan edge between node 6 and node 9 with weight 1,\nan edge between node 7 and node 8 with weight 2,\nan edge between node 7 and node 9 with weight 4,\nan edge between node 8 and node 9 with weight 2,\nQ: Give the shortest path from node 6 to node 1:"
            },
            {
                "from": "gpt",
                "value": "6->3->1."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph229",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge between node 0 and node 5 with weight 3,\nan edge between node 0 and node 3 with weight 4,\nan edge between node 7 and node 0 with weight 2,\nan edge between node 0 and node 6 with weight 4,\nan edge between node 0 and node 1 with weight 2,\nan edge between node 4 and node 0 with weight 4,\nan edge between node 1 and node 5 with weight 1,\nan edge between node 3 and node 1 with weight 1,\nan edge between node 7 and node 1 with weight 1,\nan edge between node 1 and node 6 with weight 1,\nan edge between node 4 and node 1 with weight 3,\nan edge between node 2 and node 1 with weight 1,\nan edge between node 2 and node 5 with weight 2,\nan edge between node 2 and node 3 with weight 1,\nan edge between node 2 and node 7 with weight 2,\nan edge between node 2 and node 6 with weight 2,\nan edge between node 3 and node 5 with weight 4,\nan edge between node 7 and node 3 with weight 3,\nan edge between node 3 and node 6 with weight 1,\nan edge between node 3 and node 4 with weight 1,\nan edge between node 5 and node 4 with weight 3,\nan edge between node 7 and node 4 with weight 2,\nan edge between node 6 and node 4 with weight 4,\nan edge between node 5 and node 7 with weight 2,\nan edge between node 5 and node 6 with weight 3,\nQ: Give the shortest path from node 7 to node 6:"
            },
            {
                "from": "gpt",
                "value": "7->1->6."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph20",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 4, and the edges are:\nan edge between node 4 and node 0 with weight 3,\nan edge between node 0 and node 2 with weight 3,\nan edge between node 1 and node 4 with weight 4,\nan edge between node 2 and node 1 with weight 1,\nan edge between node 3 and node 1 with weight 4,\nan edge between node 4 and node 2 with weight 2,\nan edge between node 2 and node 3 with weight 3,\nQ: Give the shortest path from node 0 to node 3:"
            },
            {
                "from": "gpt",
                "value": "0->2->3."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph192",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge between node 0 and node 5 with weight 4,\nan edge between node 2 and node 0 with weight 4,\nan edge between node 7 and node 0 with weight 3,\nan edge between node 0 and node 3 with weight 3,\nan edge between node 0 and node 4 with weight 2,\nan edge between node 1 and node 0 with weight 3,\nan edge between node 5 and node 1 with weight 2,\nan edge between node 1 and node 2 with weight 2,\nan edge between node 1 and node 7 with weight 1,\nan edge between node 1 and node 4 with weight 1,\nan edge between node 6 and node 1 with weight 3,\nan edge between node 2 and node 5 with weight 1,\nan edge between node 7 and node 2 with weight 3,\nan edge between node 3 and node 2 with weight 2,\nan edge between node 2 and node 4 with weight 4,\nan edge between node 5 and node 3 with weight 2,\nan edge between node 3 and node 4 with weight 1,\nan edge between node 5 and node 4 with weight 2,\nan edge between node 6 and node 4 with weight 4,\nan edge between node 5 and node 7 with weight 3,\nan edge between node 5 and node 6 with weight 4,\nan edge between node 6 and node 7 with weight 1,\nQ: Give the shortest path from node 0 to node 6:"
            },
            {
                "from": "gpt",
                "value": "0->7->6."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph69",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge between node 0 and node 1 with weight 3,\nan edge between node 0 and node 2 with weight 2,\nan edge between node 1 and node 3 with weight 2,\nan edge between node 2 and node 5 with weight 2,\nan edge between node 4 and node 2 with weight 2,\nan edge between node 3 and node 5 with weight 2,\nan edge between node 4 and node 5 with weight 3,\nQ: Give the shortest path from node 0 to node 3:"
            },
            {
                "from": "gpt",
                "value": "0->1->3."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph322",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge between node 6 and node 0 with weight 4,\nan edge between node 1 and node 0 with weight 4,\nan edge between node 0 and node 4 with weight 3,\nan edge between node 0 and node 5 with weight 2,\nan edge between node 8 and node 0 with weight 2,\nan edge between node 2 and node 0 with weight 1,\nan edge between node 0 and node 3 with weight 1,\nan edge between node 7 and node 0 with weight 4,\nan edge between node 9 and node 1 with weight 1,\nan edge between node 1 and node 6 with weight 2,\nan edge between node 1 and node 4 with weight 4,\nan edge between node 5 and node 1 with weight 3,\nan edge between node 8 and node 1 with weight 2,\nan edge between node 3 and node 1 with weight 3,\nan edge between node 7 and node 1 with weight 4,\nan edge between node 2 and node 9 with weight 4,\nan edge between node 2 and node 6 with weight 1,\nan edge between node 4 and node 2 with weight 3,\nan edge between node 2 and node 3 with weight 1,\nan edge between node 2 and node 7 with weight 1,\nan edge between node 6 and node 3 with weight 2,\nan edge between node 4 and node 3 with weight 2,\nan edge between node 3 and node 8 with weight 1,\nan edge between node 3 and node 7 with weight 2,\nan edge between node 6 and node 4 with weight 4,\nan edge between node 4 and node 5 with weight 4,\nan edge between node 5 and node 9 with weight 3,\nan edge between node 8 and node 5 with weight 2,\nan edge between node 5 and node 7 with weight 3,\nan edge between node 9 and node 6 with weight 2,\nan edge between node 8 and node 6 with weight 3,\nan edge between node 7 and node 6 with weight 3,\nan edge between node 7 and node 9 with weight 1,\nQ: Give the shortest path from node 9 to node 0:"
            },
            {
                "from": "gpt",
                "value": "9->7->2->0."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph302",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge between node 0 and node 5 with weight 4,\nan edge between node 0 and node 3 with weight 2,\nan edge between node 0 and node 8 with weight 2,\nan edge between node 7 and node 0 with weight 4,\nan edge between node 2 and node 0 with weight 2,\nan edge between node 0 and node 1 with weight 1,\nan edge between node 4 and node 1 with weight 2,\nan edge between node 1 and node 5 with weight 1,\nan edge between node 1 and node 3 with weight 2,\nan edge between node 1 and node 8 with weight 4,\nan edge between node 1 and node 9 with weight 4,\nan edge between node 1 and node 2 with weight 4,\nan edge between node 4 and node 2 with weight 1,\nan edge between node 8 and node 2 with weight 4,\nan edge between node 7 and node 2 with weight 2,\nan edge between node 3 and node 4 with weight 4,\nan edge between node 3 and node 6 with weight 2,\nan edge between node 5 and node 4 with weight 1,\nan edge between node 4 and node 8 with weight 3,\nan edge between node 4 and node 9 with weight 4,\nan edge between node 8 and node 5 with weight 2,\nan edge between node 7 and node 5 with weight 1,\nan edge between node 9 and node 5 with weight 1,\nan edge between node 6 and node 5 with weight 2,\nan edge between node 8 and node 6 with weight 3,\nan edge between node 7 and node 6 with weight 3,\nan edge between node 7 and node 9 with weight 2,\nQ: Give the shortest path from node 4 to node 7:"
            },
            {
                "from": "gpt",
                "value": "4->5->7."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph17",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 4, and the edges are:\nan edge between node 0 and node 3 with weight 4,\nan edge between node 0 and node 2 with weight 1,\nan edge between node 1 and node 3 with weight 3,\nan edge between node 3 and node 4 with weight 4,\nQ: Give the shortest path from node 3 to node 2:"
            },
            {
                "from": "gpt",
                "value": "3->0->2."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph125",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge between node 3 and node 0 with weight 2,\nan edge between node 1 and node 0 with weight 3,\nan edge between node 0 and node 2 with weight 1,\nan edge between node 5 and node 0 with weight 1,\nan edge between node 1 and node 6 with weight 3,\nan edge between node 3 and node 1 with weight 3,\nan edge between node 1 and node 5 with weight 1,\nan edge between node 3 and node 4 with weight 4,\nan edge between node 3 and node 5 with weight 1,\nan edge between node 4 and node 6 with weight 2,\nQ: Give the shortest path from node 6 to node 3:"
            },
            {
                "from": "gpt",
                "value": "6->1->5->3."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph243",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge between node 0 and node 1 with weight 1,\nan edge between node 2 and node 0 with weight 2,\nan edge between node 0 and node 7 with weight 2,\nan edge between node 8 and node 1 with weight 4,\nan edge between node 1 and node 3 with weight 4,\nan edge between node 6 and node 1 with weight 1,\nan edge between node 2 and node 8 with weight 2,\nan edge between node 7 and node 2 with weight 4,\nan edge between node 6 and node 3 with weight 4,\nan edge between node 7 and node 3 with weight 1,\nan edge between node 4 and node 5 with weight 1,\nan edge between node 6 and node 4 with weight 4,\nan edge between node 6 and node 5 with weight 3,\nan edge between node 7 and node 5 with weight 3,\nan edge between node 7 and node 8 with weight 2,\nQ: Give the shortest path from node 5 to node 8:"
            },
            {
                "from": "gpt",
                "value": "5->7->8."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph242",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge between node 0 and node 7 with weight 2,\nan edge between node 8 and node 0 with weight 3,\nan edge between node 5 and node 0 with weight 3,\nan edge between node 1 and node 5 with weight 4,\nan edge between node 7 and node 2 with weight 2,\nan edge between node 8 and node 2 with weight 3,\nan edge between node 4 and node 2 with weight 2,\nan edge between node 2 and node 6 with weight 1,\nan edge between node 8 and node 3 with weight 2,\nan edge between node 3 and node 6 with weight 1,\nan edge between node 5 and node 3 with weight 4,\nan edge between node 7 and node 4 with weight 3,\nan edge between node 4 and node 8 with weight 3,\nan edge between node 7 and node 5 with weight 3,\nan edge between node 6 and node 5 with weight 3,\nan edge between node 7 and node 8 with weight 1,\nQ: Give the shortest path from node 7 to node 3:"
            },
            {
                "from": "gpt",
                "value": "7->8->3."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph278",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge between node 3 and node 0 with weight 3,\nan edge between node 0 and node 2 with weight 2,\nan edge between node 8 and node 0 with weight 2,\nan edge between node 0 and node 6 with weight 3,\nan edge between node 0 and node 4 with weight 2,\nan edge between node 8 and node 1 with weight 1,\nan edge between node 5 and node 1 with weight 4,\nan edge between node 1 and node 4 with weight 3,\nan edge between node 3 and node 2 with weight 2,\nan edge between node 2 and node 8 with weight 3,\nan edge between node 2 and node 6 with weight 1,\nan edge between node 5 and node 2 with weight 1,\nan edge between node 4 and node 2 with weight 2,\nan edge between node 8 and node 3 with weight 4,\nan edge between node 6 and node 3 with weight 2,\nan edge between node 4 and node 3 with weight 2,\nan edge between node 7 and node 4 with weight 3,\nan edge between node 8 and node 4 with weight 4,\nan edge between node 5 and node 4 with weight 2,\nan edge between node 7 and node 5 with weight 3,\nan edge between node 8 and node 5 with weight 1,\nan edge between node 5 and node 6 with weight 2,\nan edge between node 6 and node 7 with weight 1,\nan edge between node 6 and node 8 with weight 4,\nQ: Give the shortest path from node 3 to node 7:"
            },
            {
                "from": "gpt",
                "value": "3->6->7."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph112",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge between node 1 and node 0 with weight 4,\nan edge between node 0 and node 4 with weight 3,\nan edge between node 3 and node 0 with weight 4,\nan edge between node 2 and node 0 with weight 3,\nan edge between node 4 and node 1 with weight 2,\nan edge between node 1 and node 3 with weight 3,\nan edge between node 1 and node 2 with weight 2,\nan edge between node 4 and node 2 with weight 3,\nan edge between node 2 and node 3 with weight 2,\nan edge between node 4 and node 3 with weight 2,\nan edge between node 5 and node 3 with weight 1,\nQ: Give the shortest path from node 0 to node 5:"
            },
            {
                "from": "gpt",
                "value": "0->3->5."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph196",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge between node 1 and node 0 with weight 3,\nan edge between node 5 and node 0 with weight 3,\nan edge between node 7 and node 0 with weight 3,\nan edge between node 0 and node 6 with weight 3,\nan edge between node 4 and node 0 with weight 4,\nan edge between node 5 and node 1 with weight 1,\nan edge between node 7 and node 1 with weight 4,\nan edge between node 1 and node 6 with weight 3,\nan edge between node 3 and node 2 with weight 4,\nan edge between node 2 and node 7 with weight 4,\nan edge between node 3 and node 5 with weight 2,\nan edge between node 4 and node 3 with weight 1,\nan edge between node 4 and node 5 with weight 3,\nan edge between node 7 and node 4 with weight 3,\nan edge between node 5 and node 7 with weight 2,\nan edge between node 6 and node 5 with weight 4,\nan edge between node 7 and node 6 with weight 2,\nQ: Give the shortest path from node 1 to node 2:"
            },
            {
                "from": "gpt",
                "value": "1->5->3->2."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph265",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge between node 8 and node 0 with weight 3,\nan edge between node 5 and node 0 with weight 1,\nan edge between node 0 and node 7 with weight 4,\nan edge between node 2 and node 0 with weight 2,\nan edge between node 1 and node 5 with weight 2,\nan edge between node 1 and node 3 with weight 2,\nan edge between node 4 and node 1 with weight 2,\nan edge between node 1 and node 7 with weight 2,\nan edge between node 1 and node 2 with weight 4,\nan edge between node 6 and node 1 with weight 1,\nan edge between node 8 and node 2 with weight 2,\nan edge between node 3 and node 2 with weight 2,\nan edge between node 7 and node 2 with weight 4,\nan edge between node 3 and node 8 with weight 4,\nan edge between node 5 and node 3 with weight 4,\nan edge between node 3 and node 7 with weight 1,\nan edge between node 6 and node 3 with weight 3,\nan edge between node 8 and node 4 with weight 4,\nan edge between node 4 and node 7 with weight 2,\nan edge between node 6 and node 4 with weight 3,\nan edge between node 6 and node 7 with weight 2,\nan edge between node 7 and node 8 with weight 4,\nQ: Give the shortest path from node 8 to node 1:"
            },
            {
                "from": "gpt",
                "value": "8->2->1."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph45",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 4, and the edges are:\nan edge between node 0 and node 1 with weight 4,\nan edge between node 0 and node 4 with weight 1,\nan edge between node 0 and node 2 with weight 2,\nan edge between node 4 and node 1 with weight 1,\nan edge between node 1 and node 2 with weight 4,\nan edge between node 2 and node 3 with weight 3,\nan edge between node 2 and node 4 with weight 3,\nan edge between node 4 and node 3 with weight 1,\nQ: Give the shortest path from node 3 to node 1:"
            },
            {
                "from": "gpt",
                "value": "3->4->1."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph227",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge between node 0 and node 2 with weight 2,\nan edge between node 3 and node 0 with weight 1,\nan edge between node 0 and node 4 with weight 3,\nan edge between node 7 and node 0 with weight 2,\nan edge between node 3 and node 1 with weight 2,\nan edge between node 1 and node 4 with weight 3,\nan edge between node 6 and node 1 with weight 4,\nan edge between node 1 and node 5 with weight 1,\nan edge between node 1 and node 7 with weight 4,\nan edge between node 2 and node 3 with weight 1,\nan edge between node 2 and node 4 with weight 2,\nan edge between node 6 and node 2 with weight 2,\nan edge between node 7 and node 2 with weight 1,\nan edge between node 3 and node 4 with weight 1,\nan edge between node 6 and node 3 with weight 4,\nan edge between node 3 and node 7 with weight 4,\nan edge between node 4 and node 6 with weight 4,\nan edge between node 4 and node 5 with weight 2,\nan edge between node 7 and node 4 with weight 1,\nan edge between node 5 and node 6 with weight 3,\nan edge between node 7 and node 5 with weight 2,\nan edge between node 7 and node 6 with weight 4,\nQ: Give the shortest path from node 0 to node 6:"
            },
            {
                "from": "gpt",
                "value": "0->2->6."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph154",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge between node 5 and node 0 with weight 3,\nan edge between node 6 and node 0 with weight 1,\nan edge between node 0 and node 1 with weight 1,\nan edge between node 0 and node 2 with weight 2,\nan edge between node 3 and node 0 with weight 2,\nan edge between node 4 and node 1 with weight 4,\nan edge between node 2 and node 1 with weight 4,\nan edge between node 1 and node 3 with weight 2,\nan edge between node 4 and node 2 with weight 3,\nan edge between node 2 and node 5 with weight 1,\nan edge between node 6 and node 2 with weight 2,\nan edge between node 3 and node 2 with weight 2,\nan edge between node 3 and node 4 with weight 4,\nan edge between node 3 and node 5 with weight 4,\nan edge between node 4 and node 5 with weight 4,\nan edge between node 4 and node 6 with weight 3,\nQ: Give the shortest path from node 4 to node 0:"
            },
            {
                "from": "gpt",
                "value": "4->6->0."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph263",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge between node 7 and node 0 with weight 2,\nan edge between node 2 and node 0 with weight 3,\nan edge between node 4 and node 0 with weight 2,\nan edge between node 0 and node 5 with weight 2,\nan edge between node 6 and node 0 with weight 3,\nan edge between node 8 and node 0 with weight 2,\nan edge between node 3 and node 0 with weight 3,\nan edge between node 1 and node 2 with weight 4,\nan edge between node 8 and node 1 with weight 2,\nan edge between node 7 and node 2 with weight 1,\nan edge between node 6 and node 2 with weight 2,\nan edge between node 2 and node 8 with weight 2,\nan edge between node 3 and node 2 with weight 4,\nan edge between node 7 and node 3 with weight 4,\nan edge between node 3 and node 4 with weight 4,\nan edge between node 3 and node 5 with weight 2,\nan edge between node 3 and node 8 with weight 2,\nan edge between node 5 and node 4 with weight 1,\nan edge between node 4 and node 6 with weight 4,\nan edge between node 7 and node 5 with weight 4,\nan edge between node 5 and node 8 with weight 2,\nan edge between node 7 and node 6 with weight 2,\nan edge between node 6 and node 8 with weight 2,\nQ: Give the shortest path from node 7 to node 4:"
            },
            {
                "from": "gpt",
                "value": "7->0->4."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph170",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge between node 0 and node 5 with weight 1,\nan edge between node 2 and node 0 with weight 1,\nan edge between node 0 and node 1 with weight 2,\nan edge between node 0 and node 6 with weight 2,\nan edge between node 0 and node 3 with weight 3,\nan edge between node 1 and node 5 with weight 2,\nan edge between node 2 and node 1 with weight 1,\nan edge between node 6 and node 1 with weight 3,\nan edge between node 3 and node 1 with weight 1,\nan edge between node 4 and node 1 with weight 4,\nan edge between node 2 and node 5 with weight 3,\nan edge between node 2 and node 6 with weight 3,\nan edge between node 3 and node 2 with weight 4,\nan edge between node 4 and node 2 with weight 4,\nan edge between node 3 and node 5 with weight 4,\nan edge between node 3 and node 6 with weight 1,\nan edge between node 4 and node 3 with weight 1,\nan edge between node 5 and node 4 with weight 3,\nan edge between node 4 and node 6 with weight 1,\nan edge between node 6 and node 5 with weight 3,\nQ: Give the shortest path from node 4 to node 0:"
            },
            {
                "from": "gpt",
                "value": "4->6->0."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph245",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge between node 4 and node 0 with weight 3,\nan edge between node 0 and node 1 with weight 3,\nan edge between node 0 and node 2 with weight 4,\nan edge between node 8 and node 0 with weight 2,\nan edge between node 1 and node 4 with weight 2,\nan edge between node 1 and node 2 with weight 3,\nan edge between node 2 and node 4 with weight 2,\nan edge between node 2 and node 5 with weight 3,\nan edge between node 2 and node 8 with weight 4,\nan edge between node 3 and node 4 with weight 1,\nan edge between node 3 and node 5 with weight 4,\nan edge between node 3 and node 6 with weight 1,\nan edge between node 4 and node 7 with weight 1,\nan edge between node 6 and node 5 with weight 4,\nan edge between node 5 and node 8 with weight 1,\nan edge between node 6 and node 7 with weight 1,\nQ: Give the shortest path from node 3 to node 7:"
            },
            {
                "from": "gpt",
                "value": "3->4->7."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph26",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 4, and the edges are:\nan edge between node 0 and node 1 with weight 3,\nan edge between node 0 and node 4 with weight 2,\nan edge between node 2 and node 0 with weight 1,\nan edge between node 3 and node 0 with weight 1,\nan edge between node 4 and node 1 with weight 4,\nan edge between node 1 and node 3 with weight 2,\nan edge between node 4 and node 2 with weight 3,\nan edge between node 2 and node 3 with weight 3,\nQ: Give the shortest path from node 1 to node 2:"
            },
            {
                "from": "gpt",
                "value": "1->0->2."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph225",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge between node 1 and node 0 with weight 4,\nan edge between node 2 and node 0 with weight 1,\nan edge between node 0 and node 3 with weight 1,\nan edge between node 7 and node 0 with weight 3,\nan edge between node 6 and node 0 with weight 3,\nan edge between node 0 and node 4 with weight 2,\nan edge between node 1 and node 5 with weight 1,\nan edge between node 2 and node 1 with weight 2,\nan edge between node 3 and node 1 with weight 1,\nan edge between node 7 and node 1 with weight 1,\nan edge between node 1 and node 6 with weight 4,\nan edge between node 4 and node 1 with weight 1,\nan edge between node 3 and node 2 with weight 2,\nan edge between node 2 and node 7 with weight 3,\nan edge between node 6 and node 2 with weight 3,\nan edge between node 3 and node 5 with weight 4,\nan edge between node 7 and node 3 with weight 2,\nan edge between node 3 and node 6 with weight 3,\nan edge between node 3 and node 4 with weight 4,\nan edge between node 5 and node 4 with weight 2,\nan edge between node 4 and node 7 with weight 3,\nan edge between node 4 and node 6 with weight 2,\nan edge between node 5 and node 7 with weight 2,\nan edge between node 5 and node 6 with weight 3,\nan edge between node 6 and node 7 with weight 4,\nQ: Give the shortest path from node 0 to node 5:"
            },
            {
                "from": "gpt",
                "value": "0->3->1->5."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph75",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge between node 0 and node 5 with weight 3,\nan edge between node 2 and node 0 with weight 4,\nan edge between node 1 and node 0 with weight 4,\nan edge between node 3 and node 0 with weight 2,\nan edge between node 4 and node 0 with weight 4,\nan edge between node 1 and node 2 with weight 3,\nan edge between node 1 and node 4 with weight 2,\nan edge between node 5 and node 2 with weight 4,\nan edge between node 5 and node 3 with weight 1,\nan edge between node 5 and node 4 with weight 4,\nQ: Give the shortest path from node 5 to node 1:"
            },
            {
                "from": "gpt",
                "value": "5->4->1."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph157",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge between node 0 and node 5 with weight 1,\nan edge between node 0 and node 4 with weight 2,\nan edge between node 3 and node 0 with weight 3,\nan edge between node 1 and node 2 with weight 3,\nan edge between node 1 and node 3 with weight 3,\nan edge between node 4 and node 2 with weight 2,\nan edge between node 3 and node 2 with weight 4,\nan edge between node 2 and node 6 with weight 2,\nan edge between node 3 and node 4 with weight 3,\nan edge between node 6 and node 3 with weight 4,\nan edge between node 4 and node 5 with weight 2,\nan edge between node 4 and node 6 with weight 1,\nan edge between node 5 and node 6 with weight 3,\nQ: Give the shortest path from node 0 to node 1:"
            },
            {
                "from": "gpt",
                "value": "0->3->1."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph159",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge between node 1 and node 0 with weight 2,\nan edge between node 0 and node 2 with weight 2,\nan edge between node 5 and node 0 with weight 4,\nan edge between node 4 and node 0 with weight 4,\nan edge between node 3 and node 0 with weight 1,\nan edge between node 0 and node 6 with weight 4,\nan edge between node 2 and node 1 with weight 2,\nan edge between node 5 and node 1 with weight 2,\nan edge between node 4 and node 1 with weight 4,\nan edge between node 1 and node 6 with weight 1,\nan edge between node 2 and node 5 with weight 2,\nan edge between node 2 and node 4 with weight 1,\nan edge between node 2 and node 3 with weight 4,\nan edge between node 2 and node 6 with weight 1,\nan edge between node 3 and node 5 with weight 2,\nan edge between node 4 and node 3 with weight 4,\nan edge between node 3 and node 6 with weight 4,\nan edge between node 5 and node 4 with weight 3,\nan edge between node 4 and node 6 with weight 4,\nan edge between node 5 and node 6 with weight 4,\nQ: Give the shortest path from node 1 to node 3:"
            },
            {
                "from": "gpt",
                "value": "1->0->3."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph333",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge between node 0 and node 4 with weight 2,\nan edge between node 5 and node 0 with weight 1,\nan edge between node 0 and node 7 with weight 4,\nan edge between node 0 and node 2 with weight 4,\nan edge between node 0 and node 6 with weight 4,\nan edge between node 0 and node 9 with weight 3,\nan edge between node 8 and node 1 with weight 2,\nan edge between node 1 and node 3 with weight 1,\nan edge between node 5 and node 1 with weight 3,\nan edge between node 7 and node 1 with weight 4,\nan edge between node 1 and node 2 with weight 3,\nan edge between node 1 and node 6 with weight 2,\nan edge between node 2 and node 8 with weight 2,\nan edge between node 5 and node 2 with weight 4,\nan edge between node 2 and node 6 with weight 2,\nan edge between node 9 and node 2 with weight 2,\nan edge between node 8 and node 3 with weight 4,\nan edge between node 3 and node 7 with weight 3,\nan edge between node 3 and node 6 with weight 1,\nan edge between node 9 and node 3 with weight 1,\nan edge between node 8 and node 4 with weight 4,\nan edge between node 5 and node 4 with weight 3,\nan edge between node 4 and node 6 with weight 2,\nan edge between node 9 and node 4 with weight 2,\nan edge between node 6 and node 5 with weight 1,\nan edge between node 5 and node 9 with weight 4,\nan edge between node 6 and node 8 with weight 2,\nan edge between node 7 and node 6 with weight 3,\nan edge between node 9 and node 6 with weight 4,\nan edge between node 9 and node 7 with weight 3,\nQ: Give the shortest path from node 8 to node 0:"
            },
            {
                "from": "gpt",
                "value": "8->6->5->0."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph344",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge between node 0 and node 6 with weight 1,\nan edge between node 0 and node 3 with weight 4,\nan edge between node 0 and node 9 with weight 3,\nan edge between node 1 and node 0 with weight 4,\nan edge between node 5 and node 0 with weight 3,\nan edge between node 0 and node 2 with weight 2,\nan edge between node 0 and node 7 with weight 1,\nan edge between node 8 and node 0 with weight 3,\nan edge between node 6 and node 1 with weight 2,\nan edge between node 3 and node 1 with weight 2,\nan edge between node 9 and node 1 with weight 2,\nan edge between node 4 and node 1 with weight 2,\nan edge between node 1 and node 5 with weight 1,\nan edge between node 7 and node 1 with weight 4,\nan edge between node 8 and node 1 with weight 1,\nan edge between node 6 and node 2 with weight 4,\nan edge between node 2 and node 3 with weight 3,\nan edge between node 4 and node 2 with weight 1,\nan edge between node 2 and node 5 with weight 1,\nan edge between node 2 and node 7 with weight 1,\nan edge between node 8 and node 2 with weight 1,\nan edge between node 3 and node 6 with weight 2,\nan edge between node 9 and node 3 with weight 2,\nan edge between node 3 and node 4 with weight 3,\nan edge between node 5 and node 3 with weight 3,\nan edge between node 7 and node 3 with weight 4,\nan edge between node 8 and node 3 with weight 4,\nan edge between node 4 and node 9 with weight 2,\nan edge between node 5 and node 4 with weight 4,\nan edge between node 4 and node 7 with weight 4,\nan edge between node 8 and node 4 with weight 3,\nan edge between node 5 and node 6 with weight 1,\nan edge between node 5 and node 9 with weight 2,\nan edge between node 5 and node 8 with weight 3,\nan edge between node 9 and node 6 with weight 1,\nan edge between node 6 and node 7 with weight 4,\nan edge between node 6 and node 8 with weight 4,\nan edge between node 9 and node 7 with weight 4,\nan edge between node 7 and node 8 with weight 2,\nan edge between node 9 and node 8 with weight 1,\nQ: Give the shortest path from node 6 to node 4:"
            },
            {
                "from": "gpt",
                "value": "6->9->4."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph143",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge between node 0 and node 4 with weight 2,\nan edge between node 0 and node 6 with weight 1,\nan edge between node 0 and node 1 with weight 2,\nan edge between node 1 and node 6 with weight 3,\nan edge between node 2 and node 1 with weight 1,\nan edge between node 2 and node 6 with weight 4,\nan edge between node 3 and node 2 with weight 2,\nan edge between node 3 and node 6 with weight 2,\nan edge between node 5 and node 3 with weight 2,\nan edge between node 4 and node 6 with weight 1,\nan edge between node 5 and node 6 with weight 2,\nQ: Give the shortest path from node 4 to node 3:"
            },
            {
                "from": "gpt",
                "value": "4->6->3."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph200",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge between node 4 and node 0 with weight 3,\nan edge between node 0 and node 1 with weight 3,\nan edge between node 0 and node 2 with weight 4,\nan edge between node 7 and node 0 with weight 4,\nan edge between node 1 and node 4 with weight 2,\nan edge between node 1 and node 6 with weight 1,\nan edge between node 7 and node 1 with weight 3,\nan edge between node 1 and node 3 with weight 1,\nan edge between node 2 and node 6 with weight 1,\nan edge between node 2 and node 5 with weight 2,\nan edge between node 3 and node 2 with weight 3,\nan edge between node 3 and node 4 with weight 4,\nan edge between node 3 and node 6 with weight 4,\nan edge between node 5 and node 3 with weight 4,\nan edge between node 7 and node 3 with weight 2,\nan edge between node 5 and node 4 with weight 2,\nan edge between node 4 and node 7 with weight 4,\nan edge between node 6 and node 5 with weight 1,\nan edge between node 5 and node 7 with weight 2,\nan edge between node 6 and node 7 with weight 4,\nQ: Give the shortest path from node 4 to node 6:"
            },
            {
                "from": "gpt",
                "value": "4->1->6."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph2",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 4, and the edges are:\nan edge between node 0 and node 1 with weight 4,\nan edge between node 3 and node 0 with weight 4,\nan edge between node 2 and node 0 with weight 3,\nan edge between node 0 and node 4 with weight 1,\nan edge between node 1 and node 3 with weight 3,\nan edge between node 4 and node 1 with weight 1,\nan edge between node 2 and node 3 with weight 3,\nan edge between node 4 and node 2 with weight 2,\nan edge between node 3 and node 4 with weight 1,\nQ: Give the shortest path from node 1 to node 2:"
            },
            {
                "from": "gpt",
                "value": "1->4->2."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph184",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge between node 0 and node 2 with weight 4,\nan edge between node 0 and node 3 with weight 4,\nan edge between node 0 and node 5 with weight 4,\nan edge between node 4 and node 0 with weight 4,\nan edge between node 6 and node 1 with weight 2,\nan edge between node 1 and node 7 with weight 2,\nan edge between node 2 and node 7 with weight 1,\nan edge between node 3 and node 2 with weight 4,\nan edge between node 4 and node 2 with weight 2,\nan edge between node 5 and node 4 with weight 1,\nan edge between node 6 and node 5 with weight 2,\nan edge between node 6 and node 7 with weight 1,\nQ: Give the shortest path from node 1 to node 2:"
            },
            {
                "from": "gpt",
                "value": "1->7->2."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph342",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge between node 0 and node 8 with weight 2,\nan edge between node 0 and node 4 with weight 1,\nan edge between node 3 and node 0 with weight 4,\nan edge between node 9 and node 0 with weight 3,\nan edge between node 0 and node 6 with weight 3,\nan edge between node 5 and node 0 with weight 2,\nan edge between node 0 and node 2 with weight 2,\nan edge between node 0 and node 1 with weight 3,\nan edge between node 1 and node 8 with weight 4,\nan edge between node 4 and node 1 with weight 3,\nan edge between node 3 and node 1 with weight 1,\nan edge between node 1 and node 9 with weight 1,\nan edge between node 6 and node 1 with weight 2,\nan edge between node 1 and node 7 with weight 3,\nan edge between node 2 and node 1 with weight 1,\nan edge between node 8 and node 2 with weight 2,\nan edge between node 2 and node 4 with weight 4,\nan edge between node 2 and node 3 with weight 3,\nan edge between node 9 and node 2 with weight 1,\nan edge between node 6 and node 2 with weight 4,\nan edge between node 7 and node 2 with weight 4,\nan edge between node 5 and node 2 with weight 3,\nan edge between node 3 and node 8 with weight 4,\nan edge between node 4 and node 3 with weight 1,\nan edge between node 9 and node 3 with weight 1,\nan edge between node 3 and node 7 with weight 4,\nan edge between node 3 and node 5 with weight 2,\nan edge between node 8 and node 4 with weight 3,\nan edge between node 9 and node 4 with weight 1,\nan edge between node 4 and node 6 with weight 3,\nan edge between node 4 and node 7 with weight 2,\nan edge between node 5 and node 4 with weight 2,\nan edge between node 8 and node 5 with weight 1,\nan edge between node 5 and node 9 with weight 4,\nan edge between node 5 and node 6 with weight 2,\nan edge between node 5 and node 7 with weight 2,\nan edge between node 6 and node 8 with weight 1,\nan edge between node 6 and node 7 with weight 1,\nan edge between node 7 and node 8 with weight 4,\nan edge between node 7 and node 9 with weight 3,\nan edge between node 8 and node 9 with weight 3,\nQ: Give the shortest path from node 3 to node 6:"
            },
            {
                "from": "gpt",
                "value": "3->1->6."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph234",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge between node 0 and node 4 with weight 2,\nan edge between node 1 and node 0 with weight 1,\nan edge between node 0 and node 7 with weight 3,\nan edge between node 2 and node 0 with weight 2,\nan edge between node 3 and node 0 with weight 1,\nan edge between node 0 and node 6 with weight 2,\nan edge between node 5 and node 0 with weight 3,\nan edge between node 1 and node 4 with weight 3,\nan edge between node 7 and node 1 with weight 2,\nan edge between node 2 and node 1 with weight 3,\nan edge between node 1 and node 3 with weight 3,\nan edge between node 6 and node 1 with weight 4,\nan edge between node 4 and node 2 with weight 4,\nan edge between node 2 and node 7 with weight 3,\nan edge between node 2 and node 3 with weight 3,\nan edge between node 2 and node 6 with weight 2,\nan edge between node 5 and node 2 with weight 1,\nan edge between node 4 and node 3 with weight 3,\nan edge between node 7 and node 3 with weight 2,\nan edge between node 6 and node 3 with weight 3,\nan edge between node 6 and node 4 with weight 2,\nan edge between node 5 and node 4 with weight 4,\nan edge between node 5 and node 7 with weight 3,\nan edge between node 5 and node 6 with weight 3,\nan edge between node 6 and node 7 with weight 2,\nQ: Give the shortest path from node 4 to node 7:"
            },
            {
                "from": "gpt",
                "value": "4->6->7."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph297",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge between node 1 and node 0 with weight 3,\nan edge between node 0 and node 7 with weight 3,\nan edge between node 0 and node 5 with weight 3,\nan edge between node 0 and node 6 with weight 4,\nan edge between node 2 and node 0 with weight 2,\nan edge between node 0 and node 8 with weight 1,\nan edge between node 4 and node 0 with weight 2,\nan edge between node 1 and node 7 with weight 4,\nan edge between node 5 and node 1 with weight 1,\nan edge between node 1 and node 6 with weight 1,\nan edge between node 2 and node 1 with weight 3,\nan edge between node 8 and node 1 with weight 2,\nan edge between node 3 and node 1 with weight 2,\nan edge between node 1 and node 4 with weight 3,\nan edge between node 5 and node 2 with weight 1,\nan edge between node 2 and node 6 with weight 4,\nan edge between node 2 and node 8 with weight 3,\nan edge between node 2 and node 3 with weight 4,\nan edge between node 4 and node 2 with weight 1,\nan edge between node 7 and node 3 with weight 3,\nan edge between node 5 and node 3 with weight 3,\nan edge between node 6 and node 3 with weight 3,\nan edge between node 8 and node 3 with weight 3,\nan edge between node 3 and node 4 with weight 1,\nan edge between node 7 and node 4 with weight 3,\nan edge between node 5 and node 4 with weight 1,\nan edge between node 4 and node 6 with weight 4,\nan edge between node 8 and node 4 with weight 1,\nan edge between node 5 and node 7 with weight 3,\nan edge between node 6 and node 5 with weight 4,\nan edge between node 5 and node 8 with weight 4,\nan edge between node 7 and node 6 with weight 4,\nan edge between node 8 and node 6 with weight 2,\nan edge between node 7 and node 8 with weight 1,\nQ: Give the shortest path from node 7 to node 2:"
            },
            {
                "from": "gpt",
                "value": "7->8->4->2."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph141",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge between node 0 and node 4 with weight 2,\nan edge between node 3 and node 0 with weight 2,\nan edge between node 0 and node 2 with weight 3,\nan edge between node 4 and node 1 with weight 3,\nan edge between node 1 and node 6 with weight 4,\nan edge between node 3 and node 1 with weight 1,\nan edge between node 4 and node 2 with weight 1,\nan edge between node 6 and node 2 with weight 4,\nan edge between node 3 and node 2 with weight 2,\nan edge between node 3 and node 4 with weight 2,\nan edge between node 6 and node 3 with weight 4,\nan edge between node 5 and node 3 with weight 3,\nan edge between node 6 and node 5 with weight 4,\nQ: Give the shortest path from node 4 to node 6:"
            },
            {
                "from": "gpt",
                "value": "4->2->6."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph155",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge between node 5 and node 0 with weight 2,\nan edge between node 0 and node 4 with weight 1,\nan edge between node 0 and node 3 with weight 3,\nan edge between node 0 and node 1 with weight 2,\nan edge between node 0 and node 2 with weight 4,\nan edge between node 1 and node 4 with weight 3,\nan edge between node 1 and node 3 with weight 2,\nan edge between node 1 and node 2 with weight 2,\nan edge between node 6 and node 1 with weight 2,\nan edge between node 5 and node 2 with weight 3,\nan edge between node 2 and node 4 with weight 2,\nan edge between node 3 and node 2 with weight 1,\nan edge between node 6 and node 2 with weight 4,\nan edge between node 5 and node 3 with weight 3,\nan edge between node 3 and node 4 with weight 1,\nan edge between node 5 and node 4 with weight 3,\nQ: Give the shortest path from node 5 to node 1:"
            },
            {
                "from": "gpt",
                "value": "5->0->1."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph99",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge between node 0 and node 1 with weight 1,\nan edge between node 2 and node 0 with weight 1,\nan edge between node 0 and node 4 with weight 2,\nan edge between node 1 and node 2 with weight 3,\nan edge between node 4 and node 1 with weight 4,\nan edge between node 1 and node 3 with weight 1,\nan edge between node 5 and node 1 with weight 1,\nan edge between node 2 and node 4 with weight 4,\nan edge between node 2 and node 3 with weight 2,\nan edge between node 3 and node 4 with weight 3,\nan edge between node 3 and node 5 with weight 4,\nan edge between node 4 and node 5 with weight 1,\nQ: Give the shortest path from node 2 to node 5:"
            },
            {
                "from": "gpt",
                "value": "2->0->1->5."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph236",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge between node 4 and node 0 with weight 2,\nan edge between node 0 and node 5 with weight 2,\nan edge between node 3 and node 0 with weight 1,\nan edge between node 1 and node 0 with weight 1,\nan edge between node 0 and node 7 with weight 1,\nan edge between node 6 and node 0 with weight 2,\nan edge between node 2 and node 0 with weight 1,\nan edge between node 4 and node 1 with weight 2,\nan edge between node 5 and node 1 with weight 4,\nan edge between node 3 and node 1 with weight 4,\nan edge between node 7 and node 1 with weight 2,\nan edge between node 1 and node 6 with weight 4,\nan edge between node 2 and node 1 with weight 4,\nan edge between node 2 and node 4 with weight 1,\nan edge between node 2 and node 5 with weight 3,\nan edge between node 2 and node 3 with weight 4,\nan edge between node 7 and node 2 with weight 4,\nan edge between node 6 and node 2 with weight 3,\nan edge between node 3 and node 4 with weight 2,\nan edge between node 5 and node 3 with weight 4,\nan edge between node 6 and node 3 with weight 2,\nan edge between node 4 and node 5 with weight 3,\nan edge between node 7 and node 4 with weight 2,\nan edge between node 4 and node 6 with weight 4,\nan edge between node 5 and node 7 with weight 4,\nan edge between node 5 and node 6 with weight 2,\nQ: Give the shortest path from node 3 to node 7:"
            },
            {
                "from": "gpt",
                "value": "3->0->7."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph206",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge between node 4 and node 0 with weight 4,\nan edge between node 6 and node 0 with weight 3,\nan edge between node 0 and node 3 with weight 1,\nan edge between node 5 and node 0 with weight 4,\nan edge between node 0 and node 2 with weight 4,\nan edge between node 0 and node 1 with weight 2,\nan edge between node 1 and node 4 with weight 2,\nan edge between node 1 and node 3 with weight 1,\nan edge between node 1 and node 5 with weight 3,\nan edge between node 1 and node 2 with weight 1,\nan edge between node 2 and node 6 with weight 3,\nan edge between node 2 and node 3 with weight 2,\nan edge between node 5 and node 2 with weight 1,\nan edge between node 2 and node 7 with weight 2,\nan edge between node 4 and node 3 with weight 3,\nan edge between node 3 and node 6 with weight 1,\nan edge between node 3 and node 5 with weight 4,\nan edge between node 3 and node 7 with weight 3,\nan edge between node 4 and node 6 with weight 1,\nan edge between node 7 and node 4 with weight 1,\nan edge between node 5 and node 6 with weight 1,\nan edge between node 5 and node 7 with weight 1,\nan edge between node 6 and node 7 with weight 2,\nQ: Give the shortest path from node 0 to node 7:"
            },
            {
                "from": "gpt",
                "value": "0->3->7."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph134",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge between node 0 and node 1 with weight 1,\nan edge between node 2 and node 1 with weight 4,\nan edge between node 1 and node 5 with weight 1,\nan edge between node 3 and node 1 with weight 1,\nan edge between node 5 and node 2 with weight 4,\nan edge between node 2 and node 3 with weight 1,\nan edge between node 3 and node 6 with weight 2,\nan edge between node 4 and node 6 with weight 1,\nQ: Give the shortest path from node 2 to node 0:"
            },
            {
                "from": "gpt",
                "value": "2->3->1->0."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph221",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge between node 0 and node 7 with weight 4,\nan edge between node 0 and node 3 with weight 1,\nan edge between node 2 and node 0 with weight 3,\nan edge between node 0 and node 1 with weight 4,\nan edge between node 4 and node 0 with weight 4,\nan edge between node 0 and node 5 with weight 2,\nan edge between node 0 and node 6 with weight 2,\nan edge between node 1 and node 7 with weight 4,\nan edge between node 3 and node 1 with weight 3,\nan edge between node 1 and node 2 with weight 2,\nan edge between node 4 and node 1 with weight 1,\nan edge between node 5 and node 1 with weight 3,\nan edge between node 6 and node 1 with weight 3,\nan edge between node 7 and node 2 with weight 3,\nan edge between node 3 and node 2 with weight 2,\nan edge between node 4 and node 2 with weight 1,\nan edge between node 5 and node 2 with weight 1,\nan edge between node 2 and node 6 with weight 2,\nan edge between node 3 and node 7 with weight 2,\nan edge between node 3 and node 4 with weight 3,\nan edge between node 5 and node 3 with weight 3,\nan edge between node 3 and node 6 with weight 1,\nan edge between node 4 and node 7 with weight 4,\nan edge between node 4 and node 5 with weight 1,\nan edge between node 4 and node 6 with weight 3,\nan edge between node 7 and node 5 with weight 2,\nan edge between node 7 and node 6 with weight 3,\nQ: Give the shortest path from node 5 to node 6:"
            },
            {
                "from": "gpt",
                "value": "5->2->6."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph124",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge between node 6 and node 0 with weight 4,\nan edge between node 0 and node 4 with weight 4,\nan edge between node 1 and node 4 with weight 4,\nan edge between node 2 and node 1 with weight 2,\nan edge between node 4 and node 2 with weight 2,\nan edge between node 5 and node 2 with weight 2,\nan edge between node 6 and node 3 with weight 3,\nan edge between node 4 and node 3 with weight 3,\nan edge between node 5 and node 3 with weight 2,\nQ: Give the shortest path from node 1 to node 0:"
            },
            {
                "from": "gpt",
                "value": "1->4->0."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph164",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge between node 1 and node 0 with weight 4,\nan edge between node 0 and node 4 with weight 1,\nan edge between node 0 and node 5 with weight 2,\nan edge between node 6 and node 0 with weight 1,\nan edge between node 0 and node 3 with weight 3,\nan edge between node 2 and node 1 with weight 2,\nan edge between node 1 and node 4 with weight 2,\nan edge between node 5 and node 1 with weight 4,\nan edge between node 1 and node 6 with weight 4,\nan edge between node 1 and node 3 with weight 3,\nan edge between node 4 and node 2 with weight 2,\nan edge between node 5 and node 2 with weight 2,\nan edge between node 2 and node 6 with weight 2,\nan edge between node 3 and node 2 with weight 1,\nan edge between node 3 and node 4 with weight 4,\nan edge between node 3 and node 6 with weight 4,\nan edge between node 4 and node 5 with weight 3,\nan edge between node 4 and node 6 with weight 3,\nan edge between node 6 and node 5 with weight 1,\nQ: Give the shortest path from node 2 to node 0:"
            },
            {
                "from": "gpt",
                "value": "2->4->0."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph328",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge between node 6 and node 0 with weight 4,\nan edge between node 0 and node 4 with weight 2,\nan edge between node 0 and node 3 with weight 3,\nan edge between node 7 and node 0 with weight 1,\nan edge between node 8 and node 0 with weight 3,\nan edge between node 1 and node 6 with weight 1,\nan edge between node 4 and node 1 with weight 2,\nan edge between node 3 and node 1 with weight 2,\nan edge between node 9 and node 1 with weight 4,\nan edge between node 1 and node 7 with weight 1,\nan edge between node 8 and node 1 with weight 2,\nan edge between node 6 and node 2 with weight 3,\nan edge between node 2 and node 5 with weight 3,\nan edge between node 3 and node 2 with weight 4,\nan edge between node 9 and node 2 with weight 2,\nan edge between node 2 and node 7 with weight 4,\nan edge between node 8 and node 2 with weight 1,\nan edge between node 4 and node 3 with weight 3,\nan edge between node 9 and node 3 with weight 3,\nan edge between node 3 and node 7 with weight 1,\nan edge between node 9 and node 4 with weight 3,\nan edge between node 4 and node 7 with weight 4,\nan edge between node 6 and node 5 with weight 1,\nan edge between node 5 and node 9 with weight 3,\nan edge between node 7 and node 5 with weight 2,\nan edge between node 6 and node 9 with weight 3,\nan edge between node 6 and node 7 with weight 1,\nan edge between node 6 and node 8 with weight 4,\nan edge between node 9 and node 7 with weight 3,\nan edge between node 8 and node 7 with weight 1,\nan edge between node 8 and node 9 with weight 2,\nQ: Give the shortest path from node 6 to node 4:"
            },
            {
                "from": "gpt",
                "value": "6->1->4."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph341",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge between node 0 and node 5 with weight 1,\nan edge between node 0 and node 6 with weight 4,\nan edge between node 0 and node 9 with weight 2,\nan edge between node 0 and node 7 with weight 2,\nan edge between node 4 and node 0 with weight 2,\nan edge between node 1 and node 0 with weight 3,\nan edge between node 0 and node 2 with weight 1,\nan edge between node 8 and node 0 with weight 2,\nan edge between node 0 and node 3 with weight 4,\nan edge between node 5 and node 1 with weight 1,\nan edge between node 1 and node 6 with weight 3,\nan edge between node 9 and node 1 with weight 1,\nan edge between node 7 and node 1 with weight 4,\nan edge between node 4 and node 1 with weight 1,\nan edge between node 1 and node 8 with weight 2,\nan edge between node 1 and node 3 with weight 4,\nan edge between node 5 and node 2 with weight 2,\nan edge between node 6 and node 2 with weight 1,\nan edge between node 7 and node 2 with weight 2,\nan edge between node 4 and node 2 with weight 4,\nan edge between node 8 and node 2 with weight 2,\nan edge between node 3 and node 2 with weight 2,\nan edge between node 3 and node 5 with weight 3,\nan edge between node 3 and node 6 with weight 3,\nan edge between node 3 and node 9 with weight 4,\nan edge between node 3 and node 7 with weight 2,\nan edge between node 8 and node 3 with weight 4,\nan edge between node 4 and node 5 with weight 4,\nan edge between node 4 and node 6 with weight 3,\nan edge between node 4 and node 9 with weight 2,\nan edge between node 4 and node 7 with weight 1,\nan edge between node 8 and node 4 with weight 4,\nan edge between node 6 and node 5 with weight 3,\nan edge between node 5 and node 9 with weight 3,\nan edge between node 7 and node 5 with weight 1,\nan edge between node 5 and node 8 with weight 1,\nan edge between node 6 and node 9 with weight 3,\nan edge between node 7 and node 6 with weight 4,\nan edge between node 8 and node 6 with weight 4,\nan edge between node 7 and node 8 with weight 4,\nan edge between node 8 and node 9 with weight 3,\nQ: Give the shortest path from node 9 to node 7:"
            },
            {
                "from": "gpt",
                "value": "9->4->7."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph345",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge between node 7 and node 0 with weight 2,\nan edge between node 0 and node 2 with weight 1,\nan edge between node 0 and node 5 with weight 1,\nan edge between node 0 and node 6 with weight 4,\nan edge between node 9 and node 0 with weight 1,\nan edge between node 1 and node 0 with weight 2,\nan edge between node 0 and node 8 with weight 4,\nan edge between node 4 and node 0 with weight 4,\nan edge between node 1 and node 3 with weight 4,\nan edge between node 7 and node 1 with weight 3,\nan edge between node 5 and node 1 with weight 4,\nan edge between node 6 and node 1 with weight 2,\nan edge between node 8 and node 1 with weight 3,\nan edge between node 1 and node 4 with weight 1,\nan edge between node 2 and node 3 with weight 3,\nan edge between node 2 and node 5 with weight 2,\nan edge between node 6 and node 2 with weight 3,\nan edge between node 2 and node 8 with weight 4,\nan edge between node 2 and node 4 with weight 1,\nan edge between node 3 and node 7 with weight 2,\nan edge between node 3 and node 5 with weight 3,\nan edge between node 3 and node 6 with weight 1,\nan edge between node 3 and node 9 with weight 1,\nan edge between node 3 and node 8 with weight 2,\nan edge between node 3 and node 4 with weight 3,\nan edge between node 7 and node 4 with weight 3,\nan edge between node 4 and node 5 with weight 3,\nan edge between node 6 and node 4 with weight 1,\nan edge between node 4 and node 9 with weight 4,\nan edge between node 4 and node 8 with weight 1,\nan edge between node 5 and node 7 with weight 3,\nan edge between node 6 and node 5 with weight 4,\nan edge between node 5 and node 9 with weight 4,\nan edge between node 8 and node 5 with weight 3,\nan edge between node 7 and node 6 with weight 2,\nan edge between node 6 and node 9 with weight 4,\nan edge between node 7 and node 8 with weight 3,\nan edge between node 9 and node 8 with weight 4,\nQ: Give the shortest path from node 3 to node 0:"
            },
            {
                "from": "gpt",
                "value": "3->9->0."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph251",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge between node 2 and node 0 with weight 2,\nan edge between node 0 and node 8 with weight 1,\nan edge between node 4 and node 0 with weight 2,\nan edge between node 2 and node 1 with weight 4,\nan edge between node 5 and node 1 with weight 4,\nan edge between node 1 and node 4 with weight 2,\nan edge between node 7 and node 1 with weight 3,\nan edge between node 2 and node 8 with weight 1,\nan edge between node 3 and node 5 with weight 4,\nan edge between node 6 and node 3 with weight 4,\nan edge between node 4 and node 3 with weight 1,\nan edge between node 6 and node 4 with weight 4,\nan edge between node 8 and node 4 with weight 1,\nan edge between node 7 and node 4 with weight 2,\nan edge between node 5 and node 6 with weight 2,\nan edge between node 8 and node 5 with weight 2,\nan edge between node 6 and node 8 with weight 3,\nan edge between node 8 and node 7 with weight 2,\nQ: Give the shortest path from node 0 to node 5:"
            },
            {
                "from": "gpt",
                "value": "0->8->5."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph172",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge between node 0 and node 4 with weight 2,\nan edge between node 0 and node 2 with weight 2,\nan edge between node 0 and node 5 with weight 1,\nan edge between node 0 and node 1 with weight 2,\nan edge between node 3 and node 0 with weight 4,\nan edge between node 6 and node 1 with weight 3,\nan edge between node 4 and node 1 with weight 3,\nan edge between node 1 and node 2 with weight 3,\nan edge between node 5 and node 1 with weight 3,\nan edge between node 1 and node 3 with weight 2,\nan edge between node 6 and node 2 with weight 2,\nan edge between node 4 and node 2 with weight 1,\nan edge between node 2 and node 5 with weight 3,\nan edge between node 3 and node 2 with weight 1,\nan edge between node 3 and node 6 with weight 4,\nan edge between node 4 and node 3 with weight 1,\nan edge between node 3 and node 5 with weight 4,\nan edge between node 4 and node 5 with weight 1,\nan edge between node 6 and node 5 with weight 1,\nQ: Give the shortest path from node 6 to node 4:"
            },
            {
                "from": "gpt",
                "value": "6->5->4."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph188",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge between node 1 and node 0 with weight 1,\nan edge between node 7 and node 1 with weight 4,\nan edge between node 1 and node 6 with weight 2,\nan edge between node 4 and node 1 with weight 2,\nan edge between node 1 and node 5 with weight 2,\nan edge between node 4 and node 2 with weight 2,\nan edge between node 6 and node 3 with weight 1,\nan edge between node 7 and node 4 with weight 3,\nan edge between node 5 and node 7 with weight 3,\nan edge between node 6 and node 5 with weight 1,\nan edge between node 6 and node 7 with weight 3,\nQ: Give the shortest path from node 7 to node 0:"
            },
            {
                "from": "gpt",
                "value": "7->1->0."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph106",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge between node 0 and node 4 with weight 1,\nan edge between node 0 and node 5 with weight 2,\nan edge between node 3 and node 0 with weight 3,\nan edge between node 2 and node 0 with weight 3,\nan edge between node 1 and node 4 with weight 3,\nan edge between node 5 and node 1 with weight 1,\nan edge between node 3 and node 1 with weight 3,\nan edge between node 1 and node 2 with weight 2,\nan edge between node 2 and node 4 with weight 3,\nan edge between node 5 and node 2 with weight 1,\nan edge between node 2 and node 3 with weight 3,\nan edge between node 3 and node 4 with weight 2,\nan edge between node 5 and node 3 with weight 3,\nan edge between node 4 and node 5 with weight 2,\nQ: Give the shortest path from node 0 to node 1:"
            },
            {
                "from": "gpt",
                "value": "0->5->1."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph120",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge between node 0 and node 3 with weight 4,\nan edge between node 0 and node 2 with weight 3,\nan edge between node 6 and node 0 with weight 4,\nan edge between node 1 and node 4 with weight 3,\nan edge between node 1 and node 5 with weight 4,\nan edge between node 2 and node 3 with weight 1,\nan edge between node 2 and node 6 with weight 4,\nan edge between node 3 and node 4 with weight 3,\nan edge between node 4 and node 5 with weight 1,\nan edge between node 6 and node 5 with weight 2,\nQ: Give the shortest path from node 3 to node 5:"
            },
            {
                "from": "gpt",
                "value": "3->4->5."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph58",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 4, and the edges are:\nan edge between node 0 and node 3 with weight 1,\nan edge between node 0 and node 4 with weight 4,\nan edge between node 2 and node 0 with weight 3,\nan edge between node 1 and node 3 with weight 1,\nan edge between node 1 and node 4 with weight 1,\nan edge between node 2 and node 1 with weight 2,\nan edge between node 4 and node 2 with weight 1,\nan edge between node 4 and node 3 with weight 2,\nQ: Give the shortest path from node 3 to node 2:"
            },
            {
                "from": "gpt",
                "value": "3->1->2."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph259",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge between node 0 and node 3 with weight 1,\nan edge between node 0 and node 5 with weight 2,\nan edge between node 0 and node 6 with weight 4,\nan edge between node 0 and node 4 with weight 3,\nan edge between node 3 and node 1 with weight 3,\nan edge between node 1 and node 5 with weight 3,\nan edge between node 1 and node 7 with weight 1,\nan edge between node 4 and node 1 with weight 2,\nan edge between node 2 and node 1 with weight 3,\nan edge between node 2 and node 3 with weight 1,\nan edge between node 5 and node 2 with weight 2,\nan edge between node 7 and node 2 with weight 1,\nan edge between node 2 and node 4 with weight 2,\nan edge between node 3 and node 8 with weight 4,\nan edge between node 6 and node 3 with weight 2,\nan edge between node 4 and node 3 with weight 4,\nan edge between node 8 and node 4 with weight 4,\nan edge between node 7 and node 4 with weight 2,\nan edge between node 4 and node 6 with weight 1,\nan edge between node 8 and node 6 with weight 4,\nan edge between node 7 and node 6 with weight 4,\nQ: Give the shortest path from node 0 to node 1:"
            },
            {
                "from": "gpt",
                "value": "0->3->1."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph10",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 4, and the edges are:\nan edge between node 0 and node 2 with weight 2,\nan edge between node 0 and node 1 with weight 1,\nan edge between node 1 and node 3 with weight 1,\nan edge between node 2 and node 3 with weight 4,\nan edge between node 4 and node 2 with weight 3,\nan edge between node 4 and node 3 with weight 1,\nQ: Give the shortest path from node 3 to node 0:"
            },
            {
                "from": "gpt",
                "value": "3->1->0."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph331",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge between node 0 and node 9 with weight 3,\nan edge between node 2 and node 0 with weight 1,\nan edge between node 5 and node 0 with weight 1,\nan edge between node 1 and node 0 with weight 3,\nan edge between node 3 and node 0 with weight 3,\nan edge between node 1 and node 8 with weight 3,\nan edge between node 6 and node 1 with weight 2,\nan edge between node 2 and node 1 with weight 3,\nan edge between node 1 and node 4 with weight 1,\nan edge between node 2 and node 9 with weight 3,\nan edge between node 8 and node 2 with weight 1,\nan edge between node 2 and node 6 with weight 3,\nan edge between node 4 and node 2 with weight 2,\nan edge between node 2 and node 5 with weight 4,\nan edge between node 3 and node 9 with weight 4,\nan edge between node 3 and node 7 with weight 3,\nan edge between node 3 and node 8 with weight 1,\nan edge between node 6 and node 3 with weight 1,\nan edge between node 4 and node 9 with weight 3,\nan edge between node 8 and node 4 with weight 1,\nan edge between node 5 and node 9 with weight 1,\nan edge between node 7 and node 5 with weight 2,\nan edge between node 8 and node 5 with weight 1,\nan edge between node 5 and node 6 with weight 3,\nan edge between node 6 and node 9 with weight 1,\nan edge between node 8 and node 6 with weight 3,\nan edge between node 9 and node 7 with weight 3,\nan edge between node 7 and node 8 with weight 2,\nan edge between node 9 and node 8 with weight 1,\nQ: Give the shortest path from node 9 to node 1:"
            },
            {
                "from": "gpt",
                "value": "9->6->1."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph182",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge between node 6 and node 0 with weight 1,\nan edge between node 2 and node 0 with weight 2,\nan edge between node 5 and node 1 with weight 4,\nan edge between node 1 and node 7 with weight 3,\nan edge between node 2 and node 1 with weight 4,\nan edge between node 1 and node 3 with weight 3,\nan edge between node 2 and node 4 with weight 4,\nan edge between node 2 and node 3 with weight 3,\nan edge between node 5 and node 3 with weight 3,\nan edge between node 4 and node 3 with weight 3,\nan edge between node 5 and node 4 with weight 4,\nan edge between node 5 and node 7 with weight 2,\nan edge between node 6 and node 7 with weight 2,\nQ: Give the shortest path from node 5 to node 6:"
            },
            {
                "from": "gpt",
                "value": "5->7->6."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph286",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge between node 5 and node 0 with weight 3,\nan edge between node 2 and node 0 with weight 3,\nan edge between node 0 and node 4 with weight 4,\nan edge between node 0 and node 1 with weight 4,\nan edge between node 8 and node 0 with weight 3,\nan edge between node 0 and node 3 with weight 3,\nan edge between node 6 and node 0 with weight 1,\nan edge between node 7 and node 0 with weight 4,\nan edge between node 5 and node 1 with weight 3,\nan edge between node 1 and node 2 with weight 1,\nan edge between node 1 and node 4 with weight 2,\nan edge between node 8 and node 1 with weight 4,\nan edge between node 1 and node 3 with weight 3,\nan edge between node 1 and node 6 with weight 3,\nan edge between node 1 and node 7 with weight 4,\nan edge between node 5 and node 2 with weight 1,\nan edge between node 2 and node 4 with weight 1,\nan edge between node 8 and node 2 with weight 1,\nan edge between node 3 and node 2 with weight 3,\nan edge between node 7 and node 2 with weight 4,\nan edge between node 3 and node 5 with weight 1,\nan edge between node 4 and node 3 with weight 4,\nan edge between node 3 and node 8 with weight 2,\nan edge between node 6 and node 3 with weight 1,\nan edge between node 3 and node 7 with weight 3,\nan edge between node 5 and node 4 with weight 2,\nan edge between node 6 and node 4 with weight 4,\nan edge between node 8 and node 5 with weight 3,\nan edge between node 5 and node 6 with weight 2,\nan edge between node 5 and node 7 with weight 1,\nan edge between node 6 and node 8 with weight 2,\nan edge between node 8 and node 7 with weight 4,\nQ: Give the shortest path from node 2 to node 6:"
            },
            {
                "from": "gpt",
                "value": "2->5->6."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph214",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge between node 0 and node 5 with weight 2,\nan edge between node 1 and node 0 with weight 4,\nan edge between node 0 and node 3 with weight 1,\nan edge between node 4 and node 1 with weight 4,\nan edge between node 6 and node 1 with weight 1,\nan edge between node 5 and node 1 with weight 3,\nan edge between node 3 and node 1 with weight 3,\nan edge between node 4 and node 2 with weight 3,\nan edge between node 6 and node 2 with weight 2,\nan edge between node 5 and node 2 with weight 1,\nan edge between node 3 and node 6 with weight 3,\nan edge between node 7 and node 3 with weight 4,\nan edge between node 4 and node 7 with weight 1,\nan edge between node 5 and node 6 with weight 3,\nan edge between node 7 and node 5 with weight 4,\nan edge between node 6 and node 7 with weight 2,\nQ: Give the shortest path from node 4 to node 6:"
            },
            {
                "from": "gpt",
                "value": "4->7->6."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph320",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge between node 9 and node 0 with weight 2,\nan edge between node 0 and node 5 with weight 2,\nan edge between node 0 and node 6 with weight 2,\nan edge between node 0 and node 2 with weight 1,\nan edge between node 7 and node 0 with weight 3,\nan edge between node 1 and node 0 with weight 2,\nan edge between node 9 and node 1 with weight 4,\nan edge between node 1 and node 4 with weight 1,\nan edge between node 2 and node 1 with weight 1,\nan edge between node 8 and node 1 with weight 1,\nan edge between node 1 and node 3 with weight 2,\nan edge between node 2 and node 9 with weight 2,\nan edge between node 2 and node 5 with weight 1,\nan edge between node 4 and node 2 with weight 2,\nan edge between node 8 and node 2 with weight 1,\nan edge between node 3 and node 9 with weight 3,\nan edge between node 5 and node 3 with weight 2,\nan edge between node 4 and node 3 with weight 1,\nan edge between node 3 and node 6 with weight 4,\nan edge between node 3 and node 8 with weight 1,\nan edge between node 4 and node 9 with weight 4,\nan edge between node 4 and node 7 with weight 1,\nan edge between node 4 and node 8 with weight 4,\nan edge between node 9 and node 5 with weight 1,\nan edge between node 7 and node 5 with weight 3,\nan edge between node 5 and node 8 with weight 3,\nan edge between node 6 and node 9 with weight 4,\nan edge between node 7 and node 6 with weight 2,\nan edge between node 9 and node 7 with weight 1,\nan edge between node 7 and node 8 with weight 1,\nan edge between node 9 and node 8 with weight 4,\nQ: Give the shortest path from node 5 to node 4:"
            },
            {
                "from": "gpt",
                "value": "5->2->4."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph146",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge between node 2 and node 0 with weight 3,\nan edge between node 5 and node 0 with weight 2,\nan edge between node 2 and node 1 with weight 1,\nan edge between node 1 and node 4 with weight 1,\nan edge between node 1 and node 6 with weight 4,\nan edge between node 1 and node 3 with weight 3,\nan edge between node 2 and node 5 with weight 3,\nan edge between node 6 and node 2 with weight 3,\nan edge between node 3 and node 2 with weight 1,\nan edge between node 3 and node 4 with weight 4,\nan edge between node 3 and node 5 with weight 1,\nan edge between node 6 and node 3 with weight 3,\nan edge between node 5 and node 4 with weight 4,\nan edge between node 6 and node 4 with weight 3,\nan edge between node 5 and node 6 with weight 3,\nQ: Give the shortest path from node 2 to node 4:"
            },
            {
                "from": "gpt",
                "value": "2->1->4."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph145",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge between node 6 and node 0 with weight 2,\nan edge between node 0 and node 3 with weight 4,\nan edge between node 2 and node 0 with weight 1,\nan edge between node 0 and node 5 with weight 2,\nan edge between node 1 and node 4 with weight 3,\nan edge between node 1 and node 6 with weight 1,\nan edge between node 1 and node 3 with weight 4,\nan edge between node 1 and node 2 with weight 1,\nan edge between node 1 and node 5 with weight 4,\nan edge between node 3 and node 4 with weight 2,\nan edge between node 3 and node 6 with weight 3,\nan edge between node 4 and node 6 with weight 1,\nan edge between node 4 and node 5 with weight 3,\nan edge between node 5 and node 6 with weight 1,\nQ: Give the shortest path from node 4 to node 0:"
            },
            {
                "from": "gpt",
                "value": "4->6->0."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph269",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge between node 8 and node 0 with weight 1,\nan edge between node 5 and node 0 with weight 4,\nan edge between node 6 and node 0 with weight 1,\nan edge between node 2 and node 0 with weight 3,\nan edge between node 0 and node 1 with weight 2,\nan edge between node 4 and node 1 with weight 4,\nan edge between node 7 and node 1 with weight 3,\nan edge between node 8 and node 1 with weight 3,\nan edge between node 1 and node 3 with weight 4,\nan edge between node 1 and node 2 with weight 2,\nan edge between node 2 and node 4 with weight 3,\nan edge between node 2 and node 7 with weight 3,\nan edge between node 2 and node 8 with weight 3,\nan edge between node 2 and node 3 with weight 1,\nan edge between node 2 and node 5 with weight 4,\nan edge between node 2 and node 6 with weight 3,\nan edge between node 3 and node 7 with weight 2,\nan edge between node 5 and node 3 with weight 3,\nan edge between node 3 and node 6 with weight 1,\nan edge between node 4 and node 7 with weight 3,\nan edge between node 4 and node 8 with weight 4,\nan edge between node 5 and node 4 with weight 4,\nan edge between node 4 and node 6 with weight 3,\nan edge between node 5 and node 7 with weight 1,\nan edge between node 5 and node 8 with weight 2,\nan edge between node 5 and node 6 with weight 3,\nan edge between node 6 and node 8 with weight 3,\nan edge between node 7 and node 8 with weight 2,\nQ: Give the shortest path from node 0 to node 4:"
            },
            {
                "from": "gpt",
                "value": "0->6->4."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph306",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge between node 0 and node 4 with weight 1,\nan edge between node 8 and node 0 with weight 1,\nan edge between node 0 and node 7 with weight 2,\nan edge between node 1 and node 3 with weight 3,\nan edge between node 4 and node 1 with weight 1,\nan edge between node 5 and node 1 with weight 2,\nan edge between node 7 and node 1 with weight 3,\nan edge between node 9 and node 2 with weight 2,\nan edge between node 6 and node 2 with weight 3,\nan edge between node 5 and node 3 with weight 2,\nan edge between node 3 and node 8 with weight 2,\nan edge between node 4 and node 9 with weight 4,\nan edge between node 8 and node 4 with weight 2,\nan edge between node 7 and node 4 with weight 1,\nan edge between node 7 and node 5 with weight 4,\nan edge between node 8 and node 6 with weight 4,\nan edge between node 7 and node 8 with weight 1,\nQ: Give the shortest path from node 3 to node 9:"
            },
            {
                "from": "gpt",
                "value": "3->8->4->9."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph285",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge between node 0 and node 5 with weight 4,\nan edge between node 0 and node 7 with weight 1,\nan edge between node 3 and node 0 with weight 4,\nan edge between node 1 and node 0 with weight 4,\nan edge between node 0 and node 4 with weight 4,\nan edge between node 0 and node 6 with weight 2,\nan edge between node 0 and node 2 with weight 1,\nan edge between node 1 and node 5 with weight 4,\nan edge between node 3 and node 1 with weight 3,\nan edge between node 1 and node 4 with weight 2,\nan edge between node 6 and node 1 with weight 3,\nan edge between node 1 and node 2 with weight 1,\nan edge between node 5 and node 2 with weight 4,\nan edge between node 7 and node 2 with weight 2,\nan edge between node 3 and node 2 with weight 4,\nan edge between node 2 and node 4 with weight 2,\nan edge between node 6 and node 2 with weight 3,\nan edge between node 3 and node 8 with weight 3,\nan edge between node 5 and node 3 with weight 4,\nan edge between node 3 and node 7 with weight 1,\nan edge between node 3 and node 4 with weight 2,\nan edge between node 6 and node 3 with weight 4,\nan edge between node 8 and node 4 with weight 3,\nan edge between node 4 and node 5 with weight 2,\nan edge between node 7 and node 4 with weight 4,\nan edge between node 4 and node 6 with weight 3,\nan edge between node 8 and node 5 with weight 1,\nan edge between node 7 and node 5 with weight 3,\nan edge between node 5 and node 6 with weight 3,\nan edge between node 6 and node 7 with weight 2,\nan edge between node 7 and node 8 with weight 4,\nQ: Give the shortest path from node 8 to node 1:"
            },
            {
                "from": "gpt",
                "value": "8->5->1."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph290",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge between node 0 and node 6 with weight 3,\nan edge between node 5 and node 0 with weight 4,\nan edge between node 0 and node 3 with weight 2,\nan edge between node 1 and node 0 with weight 4,\nan edge between node 8 and node 0 with weight 1,\nan edge between node 4 and node 0 with weight 3,\nan edge between node 0 and node 2 with weight 4,\nan edge between node 6 and node 1 with weight 4,\nan edge between node 1 and node 5 with weight 4,\nan edge between node 1 and node 3 with weight 2,\nan edge between node 1 and node 8 with weight 4,\nan edge between node 1 and node 4 with weight 2,\nan edge between node 2 and node 1 with weight 1,\nan edge between node 7 and node 1 with weight 1,\nan edge between node 2 and node 6 with weight 1,\nan edge between node 5 and node 2 with weight 4,\nan edge between node 2 and node 3 with weight 1,\nan edge between node 2 and node 8 with weight 3,\nan edge between node 7 and node 2 with weight 3,\nan edge between node 6 and node 3 with weight 1,\nan edge between node 3 and node 5 with weight 2,\nan edge between node 3 and node 8 with weight 3,\nan edge between node 4 and node 3 with weight 4,\nan edge between node 3 and node 7 with weight 2,\nan edge between node 4 and node 6 with weight 3,\nan edge between node 5 and node 4 with weight 1,\nan edge between node 4 and node 8 with weight 3,\nan edge between node 7 and node 4 with weight 1,\nan edge between node 6 and node 5 with weight 2,\nan edge between node 8 and node 5 with weight 3,\nan edge between node 5 and node 7 with weight 3,\nan edge between node 6 and node 7 with weight 1,\nQ: Give the shortest path from node 6 to node 8:"
            },
            {
                "from": "gpt",
                "value": "6->2->8."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph161",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge between node 1 and node 0 with weight 3,\nan edge between node 6 and node 0 with weight 3,\nan edge between node 0 and node 4 with weight 3,\nan edge between node 0 and node 5 with weight 4,\nan edge between node 0 and node 3 with weight 4,\nan edge between node 2 and node 0 with weight 3,\nan edge between node 6 and node 1 with weight 3,\nan edge between node 4 and node 1 with weight 4,\nan edge between node 5 and node 1 with weight 2,\nan edge between node 1 and node 3 with weight 2,\nan edge between node 1 and node 2 with weight 3,\nan edge between node 2 and node 6 with weight 2,\nan edge between node 2 and node 4 with weight 1,\nan edge between node 2 and node 5 with weight 4,\nan edge between node 2 and node 3 with weight 4,\nan edge between node 6 and node 3 with weight 1,\nan edge between node 4 and node 3 with weight 1,\nan edge between node 5 and node 3 with weight 4,\nan edge between node 4 and node 6 with weight 3,\nan edge between node 5 and node 6 with weight 2,\nQ: Give the shortest path from node 4 to node 5:"
            },
            {
                "from": "gpt",
                "value": "4->3->6->5."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph11",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 4, and the edges are:\nan edge between node 0 and node 1 with weight 2,\nan edge between node 2 and node 0 with weight 4,\nan edge between node 4 and node 0 with weight 2,\nan edge between node 1 and node 2 with weight 1,\nan edge between node 4 and node 1 with weight 2,\nan edge between node 2 and node 3 with weight 3,\nan edge between node 4 and node 2 with weight 3,\nQ: Give the shortest path from node 1 to node 3:"
            },
            {
                "from": "gpt",
                "value": "1->2->3."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph101",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge between node 0 and node 3 with weight 4,\nan edge between node 0 and node 4 with weight 1,\nan edge between node 0 and node 1 with weight 4,\nan edge between node 3 and node 1 with weight 3,\nan edge between node 1 and node 5 with weight 1,\nan edge between node 4 and node 1 with weight 1,\nan edge between node 1 and node 2 with weight 4,\nan edge between node 3 and node 2 with weight 2,\nan edge between node 5 and node 2 with weight 2,\nan edge between node 2 and node 4 with weight 4,\nan edge between node 3 and node 5 with weight 1,\nan edge between node 3 and node 4 with weight 2,\nan edge between node 4 and node 5 with weight 3,\nQ: Give the shortest path from node 5 to node 0:"
            },
            {
                "from": "gpt",
                "value": "5->1->4->0."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph313",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge between node 9 and node 0 with weight 2,\nan edge between node 0 and node 3 with weight 2,\nan edge between node 0 and node 2 with weight 2,\nan edge between node 5 and node 0 with weight 3,\nan edge between node 6 and node 0 with weight 2,\nan edge between node 1 and node 9 with weight 3,\nan edge between node 8 and node 1 with weight 2,\nan edge between node 1 and node 4 with weight 1,\nan edge between node 5 and node 1 with weight 1,\nan edge between node 1 and node 6 with weight 1,\nan edge between node 7 and node 1 with weight 1,\nan edge between node 2 and node 9 with weight 4,\nan edge between node 3 and node 2 with weight 3,\nan edge between node 8 and node 2 with weight 3,\nan edge between node 4 and node 2 with weight 1,\nan edge between node 2 and node 5 with weight 3,\nan edge between node 6 and node 2 with weight 3,\nan edge between node 9 and node 3 with weight 4,\nan edge between node 3 and node 8 with weight 2,\nan edge between node 7 and node 3 with weight 1,\nan edge between node 9 and node 4 with weight 1,\nan edge between node 4 and node 5 with weight 1,\nan edge between node 6 and node 4 with weight 3,\nan edge between node 7 and node 4 with weight 4,\nan edge between node 5 and node 9 with weight 3,\nan edge between node 5 and node 8 with weight 2,\nan edge between node 5 and node 6 with weight 3,\nan edge between node 5 and node 7 with weight 1,\nan edge between node 9 and node 6 with weight 3,\nan edge between node 6 and node 8 with weight 4,\nan edge between node 6 and node 7 with weight 4,\nan edge between node 7 and node 8 with weight 3,\nan edge between node 9 and node 8 with weight 2,\nQ: Give the shortest path from node 9 to node 7:"
            },
            {
                "from": "gpt",
                "value": "9->4->1->7."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph232",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge between node 0 and node 5 with weight 2,\nan edge between node 1 and node 0 with weight 1,\nan edge between node 0 and node 6 with weight 1,\nan edge between node 7 and node 0 with weight 3,\nan edge between node 0 and node 3 with weight 1,\nan edge between node 0 and node 4 with weight 3,\nan edge between node 1 and node 5 with weight 3,\nan edge between node 1 and node 2 with weight 3,\nan edge between node 1 and node 6 with weight 4,\nan edge between node 1 and node 7 with weight 4,\nan edge between node 1 and node 4 with weight 3,\nan edge between node 2 and node 5 with weight 4,\nan edge between node 6 and node 2 with weight 1,\nan edge between node 2 and node 7 with weight 3,\nan edge between node 2 and node 3 with weight 4,\nan edge between node 2 and node 4 with weight 4,\nan edge between node 5 and node 3 with weight 4,\nan edge between node 6 and node 3 with weight 1,\nan edge between node 7 and node 3 with weight 1,\nan edge between node 3 and node 4 with weight 2,\nan edge between node 4 and node 5 with weight 3,\nan edge between node 6 and node 4 with weight 1,\nan edge between node 4 and node 7 with weight 4,\nan edge between node 5 and node 6 with weight 1,\nan edge between node 5 and node 7 with weight 1,\nan edge between node 7 and node 6 with weight 1,\nQ: Give the shortest path from node 0 to node 2:"
            },
            {
                "from": "gpt",
                "value": "0->6->2."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph258",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge between node 1 and node 0 with weight 2,\nan edge between node 7 and node 0 with weight 1,\nan edge between node 0 and node 8 with weight 4,\nan edge between node 0 and node 4 with weight 1,\nan edge between node 2 and node 0 with weight 2,\nan edge between node 1 and node 5 with weight 4,\nan edge between node 1 and node 3 with weight 2,\nan edge between node 8 and node 1 with weight 1,\nan edge between node 4 and node 1 with weight 1,\nan edge between node 1 and node 2 with weight 3,\nan edge between node 6 and node 2 with weight 4,\nan edge between node 8 and node 2 with weight 2,\nan edge between node 2 and node 4 with weight 1,\nan edge between node 5 and node 3 with weight 2,\nan edge between node 6 and node 3 with weight 4,\nan edge between node 8 and node 3 with weight 3,\nan edge between node 3 and node 4 with weight 1,\nan edge between node 6 and node 4 with weight 3,\nan edge between node 4 and node 7 with weight 2,\nan edge between node 4 and node 8 with weight 2,\nan edge between node 6 and node 5 with weight 1,\nan edge between node 5 and node 7 with weight 3,\nan edge between node 5 and node 8 with weight 1,\nQ: Give the shortest path from node 5 to node 0:"
            },
            {
                "from": "gpt",
                "value": "5->8->1->0."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph4",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 4, and the edges are:\nan edge between node 1 and node 0 with weight 1,\nan edge between node 2 and node 0 with weight 1,\nan edge between node 1 and node 4 with weight 1,\nan edge between node 1 and node 2 with weight 3,\nan edge between node 3 and node 2 with weight 3,\nQ: Give the shortest path from node 3 to node 1:"
            },
            {
                "from": "gpt",
                "value": "3->2->0->1."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph304",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge between node 0 and node 6 with weight 3,\nan edge between node 0 and node 4 with weight 2,\nan edge between node 0 and node 7 with weight 4,\nan edge between node 1 and node 2 with weight 1,\nan edge between node 6 and node 1 with weight 4,\nan edge between node 1 and node 4 with weight 3,\nan edge between node 1 and node 8 with weight 1,\nan edge between node 1 and node 5 with weight 2,\nan edge between node 2 and node 6 with weight 1,\nan edge between node 2 and node 3 with weight 1,\nan edge between node 5 and node 2 with weight 3,\nan edge between node 6 and node 3 with weight 3,\nan edge between node 4 and node 3 with weight 4,\nan edge between node 3 and node 8 with weight 4,\nan edge between node 3 and node 5 with weight 3,\nan edge between node 3 and node 7 with weight 2,\nan edge between node 3 and node 9 with weight 1,\nan edge between node 6 and node 4 with weight 1,\nan edge between node 8 and node 4 with weight 3,\nan edge between node 7 and node 4 with weight 2,\nan edge between node 4 and node 9 with weight 2,\nan edge between node 6 and node 5 with weight 1,\nan edge between node 5 and node 8 with weight 2,\nan edge between node 7 and node 5 with weight 4,\nan edge between node 7 and node 6 with weight 1,\nan edge between node 6 and node 9 with weight 4,\nan edge between node 8 and node 7 with weight 1,\nQ: Give the shortest path from node 2 to node 4:"
            },
            {
                "from": "gpt",
                "value": "2->6->4."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph218",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge between node 0 and node 7 with weight 4,\nan edge between node 4 and node 0 with weight 1,\nan edge between node 5 and node 0 with weight 3,\nan edge between node 0 and node 1 with weight 3,\nan edge between node 1 and node 4 with weight 1,\nan edge between node 6 and node 1 with weight 1,\nan edge between node 1 and node 2 with weight 2,\nan edge between node 1 and node 5 with weight 2,\nan edge between node 1 and node 3 with weight 4,\nan edge between node 2 and node 7 with weight 2,\nan edge between node 2 and node 4 with weight 4,\nan edge between node 2 and node 6 with weight 2,\nan edge between node 5 and node 2 with weight 4,\nan edge between node 2 and node 3 with weight 2,\nan edge between node 3 and node 7 with weight 2,\nan edge between node 3 and node 4 with weight 2,\nan edge between node 3 and node 6 with weight 4,\nan edge between node 3 and node 5 with weight 4,\nan edge between node 4 and node 7 with weight 2,\nan edge between node 6 and node 4 with weight 1,\nan edge between node 5 and node 7 with weight 1,\nan edge between node 5 and node 6 with weight 3,\nan edge between node 7 and node 6 with weight 1,\nQ: Give the shortest path from node 7 to node 1:"
            },
            {
                "from": "gpt",
                "value": "7->6->1."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph283",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge between node 0 and node 6 with weight 4,\nan edge between node 0 and node 3 with weight 1,\nan edge between node 7 and node 0 with weight 3,\nan edge between node 0 and node 8 with weight 4,\nan edge between node 0 and node 5 with weight 2,\nan edge between node 4 and node 0 with weight 3,\nan edge between node 1 and node 0 with weight 3,\nan edge between node 2 and node 0 with weight 1,\nan edge between node 1 and node 6 with weight 4,\nan edge between node 1 and node 3 with weight 4,\nan edge between node 1 and node 7 with weight 2,\nan edge between node 1 and node 8 with weight 1,\nan edge between node 1 and node 5 with weight 2,\nan edge between node 1 and node 4 with weight 2,\nan edge between node 1 and node 2 with weight 2,\nan edge between node 2 and node 6 with weight 2,\nan edge between node 3 and node 2 with weight 3,\nan edge between node 2 and node 7 with weight 4,\nan edge between node 2 and node 8 with weight 3,\nan edge between node 5 and node 2 with weight 4,\nan edge between node 4 and node 2 with weight 2,\nan edge between node 6 and node 3 with weight 4,\nan edge between node 3 and node 7 with weight 3,\nan edge between node 8 and node 3 with weight 4,\nan edge between node 3 and node 5 with weight 2,\nan edge between node 3 and node 4 with weight 2,\nan edge between node 6 and node 4 with weight 2,\nan edge between node 4 and node 7 with weight 4,\nan edge between node 8 and node 4 with weight 1,\nan edge between node 5 and node 4 with weight 3,\nan edge between node 5 and node 6 with weight 3,\nan edge between node 7 and node 5 with weight 2,\nan edge between node 5 and node 8 with weight 3,\nan edge between node 6 and node 7 with weight 3,\nan edge between node 8 and node 6 with weight 2,\nQ: Give the shortest path from node 7 to node 8:"
            },
            {
                "from": "gpt",
                "value": "7->1->8."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph72",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge between node 0 and node 2 with weight 3,\nan edge between node 1 and node 0 with weight 4,\nan edge between node 5 and node 1 with weight 1,\nan edge between node 1 and node 2 with weight 3,\nan edge between node 3 and node 1 with weight 2,\nan edge between node 5 and node 4 with weight 1,\nQ: Give the shortest path from node 5 to node 2:"
            },
            {
                "from": "gpt",
                "value": "5->1->2."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph349",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge between node 0 and node 1 with weight 1,\nan edge between node 4 and node 0 with weight 2,\nan edge between node 0 and node 8 with weight 1,\nan edge between node 9 and node 0 with weight 4,\nan edge between node 1 and node 7 with weight 4,\nan edge between node 1 and node 3 with weight 4,\nan edge between node 1 and node 6 with weight 1,\nan edge between node 2 and node 1 with weight 1,\nan edge between node 4 and node 1 with weight 3,\nan edge between node 8 and node 1 with weight 1,\nan edge between node 9 and node 1 with weight 2,\nan edge between node 7 and node 2 with weight 1,\nan edge between node 2 and node 5 with weight 4,\nan edge between node 2 and node 3 with weight 4,\nan edge between node 4 and node 2 with weight 1,\nan edge between node 8 and node 2 with weight 1,\nan edge between node 2 and node 9 with weight 2,\nan edge between node 3 and node 7 with weight 3,\nan edge between node 3 and node 5 with weight 2,\nan edge between node 6 and node 3 with weight 3,\nan edge between node 3 and node 8 with weight 2,\nan edge between node 9 and node 3 with weight 1,\nan edge between node 7 and node 4 with weight 3,\nan edge between node 4 and node 5 with weight 4,\nan edge between node 4 and node 8 with weight 4,\nan edge between node 9 and node 4 with weight 1,\nan edge between node 5 and node 6 with weight 3,\nan edge between node 5 and node 8 with weight 4,\nan edge between node 9 and node 5 with weight 3,\nan edge between node 6 and node 7 with weight 2,\nan edge between node 6 and node 8 with weight 4,\nan edge between node 9 and node 6 with weight 1,\nan edge between node 8 and node 7 with weight 3,\nan edge between node 9 and node 7 with weight 2,\nan edge between node 8 and node 9 with weight 4,\nQ: Give the shortest path from node 7 to node 5:"
            },
            {
                "from": "gpt",
                "value": "7->2->5."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph160",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge between node 0 and node 2 with weight 1,\nan edge between node 0 and node 3 with weight 4,\nan edge between node 0 and node 5 with weight 2,\nan edge between node 0 and node 4 with weight 3,\nan edge between node 0 and node 1 with weight 4,\nan edge between node 0 and node 6 with weight 2,\nan edge between node 2 and node 1 with weight 2,\nan edge between node 3 and node 1 with weight 3,\nan edge between node 4 and node 1 with weight 3,\nan edge between node 1 and node 6 with weight 2,\nan edge between node 5 and node 2 with weight 4,\nan edge between node 2 and node 4 with weight 3,\nan edge between node 2 and node 6 with weight 2,\nan edge between node 5 and node 3 with weight 1,\nan edge between node 4 and node 3 with weight 2,\nan edge between node 6 and node 3 with weight 4,\nan edge between node 5 and node 4 with weight 3,\nan edge between node 6 and node 4 with weight 1,\nan edge between node 6 and node 5 with weight 2,\nQ: Give the shortest path from node 2 to node 3:"
            },
            {
                "from": "gpt",
                "value": "2->0->5->3."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph248",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge between node 0 and node 6 with weight 2,\nan edge between node 8 and node 0 with weight 1,\nan edge between node 2 and node 0 with weight 4,\nan edge between node 0 and node 1 with weight 1,\nan edge between node 0 and node 4 with weight 1,\nan edge between node 2 and node 1 with weight 3,\nan edge between node 1 and node 7 with weight 2,\nan edge between node 1 and node 4 with weight 2,\nan edge between node 5 and node 1 with weight 3,\nan edge between node 3 and node 1 with weight 4,\nan edge between node 2 and node 6 with weight 2,\nan edge between node 2 and node 8 with weight 1,\nan edge between node 2 and node 4 with weight 3,\nan edge between node 2 and node 3 with weight 3,\nan edge between node 3 and node 7 with weight 4,\nan edge between node 3 and node 5 with weight 2,\nan edge between node 8 and node 4 with weight 3,\nan edge between node 5 and node 4 with weight 3,\nan edge between node 5 and node 6 with weight 4,\nan edge between node 8 and node 6 with weight 1,\nan edge between node 6 and node 7 with weight 1,\nan edge between node 7 and node 8 with weight 4,\nQ: Give the shortest path from node 6 to node 1:"
            },
            {
                "from": "gpt",
                "value": "6->7->1."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph338",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge between node 8 and node 0 with weight 3,\nan edge between node 3 and node 0 with weight 3,\nan edge between node 0 and node 9 with weight 4,\nan edge between node 5 and node 0 with weight 2,\nan edge between node 0 and node 4 with weight 4,\nan edge between node 0 and node 7 with weight 1,\nan edge between node 2 and node 0 with weight 1,\nan edge between node 3 and node 1 with weight 3,\nan edge between node 9 and node 1 with weight 2,\nan edge between node 1 and node 4 with weight 4,\nan edge between node 7 and node 1 with weight 1,\nan edge between node 2 and node 8 with weight 2,\nan edge between node 3 and node 2 with weight 3,\nan edge between node 4 and node 2 with weight 3,\nan edge between node 6 and node 2 with weight 3,\nan edge between node 9 and node 3 with weight 1,\nan edge between node 3 and node 5 with weight 2,\nan edge between node 3 and node 4 with weight 3,\nan edge between node 7 and node 3 with weight 3,\nan edge between node 3 and node 6 with weight 2,\nan edge between node 4 and node 8 with weight 4,\nan edge between node 4 and node 9 with weight 1,\nan edge between node 5 and node 4 with weight 4,\nan edge between node 4 and node 7 with weight 1,\nan edge between node 4 and node 6 with weight 3,\nan edge between node 8 and node 5 with weight 1,\nan edge between node 5 and node 7 with weight 1,\nan edge between node 5 and node 6 with weight 4,\nan edge between node 6 and node 8 with weight 4,\nan edge between node 9 and node 6 with weight 1,\nan edge between node 8 and node 7 with weight 3,\nQ: Give the shortest path from node 0 to node 1:"
            },
            {
                "from": "gpt",
                "value": "0->7->1."
            }
        ]
    },
    {
        "id": "shortest_path-easy-graph177",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge between node 5 and node 0 with weight 4,\nan edge between node 6 and node 0 with weight 2,\nan edge between node 0 and node 4 with weight 2,\nan edge between node 1 and node 0 with weight 4,\nan edge between node 0 and node 3 with weight 2,\nan edge between node 5 and node 1 with weight 3,\nan edge between node 4 and node 1 with weight 4,\nan edge between node 1 and node 3 with weight 2,\nan edge between node 5 and node 2 with weight 2,\nan edge between node 6 and node 2 with weight 3,\nan edge between node 2 and node 4 with weight 2,\nan edge between node 2 and node 3 with weight 2,\nan edge between node 3 and node 5 with weight 2,\nan edge between node 6 and node 3 with weight 3,\nan edge between node 4 and node 3 with weight 2,\nan edge between node 5 and node 4 with weight 1,\nan edge between node 4 and node 6 with weight 2,\nan edge between node 5 and node 6 with weight 2,\nQ: Give the shortest path from node 2 to node 0:"
            },
            {
                "from": "gpt",
                "value": "2->4->0."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1153",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 16 and node 0 with weight 10,\nan edge between node 17 and node 0 with weight 7,\nan edge between node 0 and node 8 with weight 9,\nan edge between node 5 and node 0 with weight 10,\nan edge between node 1 and node 9 with weight 1,\nan edge between node 1 and node 19 with weight 2,\nan edge between node 8 and node 1 with weight 7,\nan edge between node 2 and node 14 with weight 8,\nan edge between node 14 and node 3 with weight 8,\nan edge between node 11 and node 3 with weight 10,\nan edge between node 3 and node 10 with weight 1,\nan edge between node 14 and node 4 with weight 6,\nan edge between node 10 and node 4 with weight 5,\nan edge between node 4 and node 16 with weight 2,\nan edge between node 19 and node 4 with weight 2,\nan edge between node 4 and node 6 with weight 1,\nan edge between node 5 and node 4 with weight 8,\nan edge between node 12 and node 5 with weight 1,\nan edge between node 5 and node 18 with weight 10,\nan edge between node 17 and node 5 with weight 6,\nan edge between node 5 and node 13 with weight 7,\nan edge between node 8 and node 5 with weight 7,\nan edge between node 5 and node 6 with weight 9,\nan edge between node 13 and node 6 with weight 6,\nan edge between node 6 and node 8 with weight 2,\nan edge between node 7 and node 12 with weight 9,\nan edge between node 18 and node 7 with weight 7,\nan edge between node 7 and node 13 with weight 3,\nan edge between node 14 and node 8 with weight 7,\nan edge between node 9 and node 14 with weight 3,\nan edge between node 9 and node 15 with weight 3,\nan edge between node 12 and node 10 with weight 5,\nan edge between node 10 and node 15 with weight 2,\nan edge between node 11 and node 17 with weight 1,\nan edge between node 11 and node 13 with weight 2,\nan edge between node 12 and node 14 with weight 10,\nan edge between node 12 and node 16 with weight 10,\nan edge between node 12 and node 13 with weight 7,\nan edge between node 13 and node 15 with weight 6,\nan edge between node 15 and node 14 with weight 9,\nan edge between node 18 and node 15 with weight 3,\nan edge between node 18 and node 16 with weight 9,\nan edge between node 19 and node 16 with weight 4,\nan edge between node 17 and node 18 with weight 3,\nan edge between node 17 and node 19 with weight 5,\nan edge between node 19 and node 18 with weight 2,\nQ: Give the shortest path from node 17 to node 13:"
            },
            {
                "from": "gpt",
                "value": "17->11->13."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph574",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge between node 1 and node 0 with weight 8,\nan edge between node 4 and node 0 with weight 10,\nan edge between node 2 and node 0 with weight 2,\nan edge between node 0 and node 14 with weight 3,\nan edge between node 0 and node 11 with weight 8,\nan edge between node 7 and node 0 with weight 10,\nan edge between node 1 and node 3 with weight 5,\nan edge between node 1 and node 10 with weight 2,\nan edge between node 1 and node 12 with weight 3,\nan edge between node 11 and node 1 with weight 8,\nan edge between node 13 and node 2 with weight 1,\nan edge between node 2 and node 3 with weight 5,\nan edge between node 8 and node 2 with weight 6,\nan edge between node 12 and node 2 with weight 9,\nan edge between node 3 and node 4 with weight 10,\nan edge between node 3 and node 9 with weight 8,\nan edge between node 14 and node 3 with weight 1,\nan edge between node 10 and node 3 with weight 8,\nan edge between node 3 and node 12 with weight 10,\nan edge between node 4 and node 9 with weight 9,\nan edge between node 4 and node 8 with weight 7,\nan edge between node 12 and node 5 with weight 7,\nan edge between node 11 and node 5 with weight 3,\nan edge between node 13 and node 6 with weight 8,\nan edge between node 6 and node 9 with weight 5,\nan edge between node 8 and node 6 with weight 8,\nan edge between node 14 and node 6 with weight 3,\nan edge between node 6 and node 10 with weight 6,\nan edge between node 6 and node 7 with weight 10,\nan edge between node 7 and node 9 with weight 1,\nan edge between node 7 and node 14 with weight 5,\nan edge between node 12 and node 7 with weight 6,\nan edge between node 14 and node 8 with weight 8,\nan edge between node 10 and node 14 with weight 7,\nan edge between node 13 and node 11 with weight 10,\nan edge between node 13 and node 12 with weight 7,\nan edge between node 14 and node 12 with weight 5,\nQ: Give the shortest path from node 11 to node 7:"
            },
            {
                "from": "gpt",
                "value": "11->5->12->7."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph83",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 0 and node 2 with weight 9,\nan edge between node 1 and node 10 with weight 9,\nan edge between node 9 and node 2 with weight 2,\nan edge between node 2 and node 7 with weight 4,\nan edge between node 3 and node 6 with weight 10,\nan edge between node 4 and node 3 with weight 4,\nan edge between node 4 and node 9 with weight 7,\nan edge between node 6 and node 4 with weight 4,\nan edge between node 9 and node 5 with weight 4,\nan edge between node 5 and node 7 with weight 10,\nan edge between node 5 and node 6 with weight 1,\nan edge between node 7 and node 9 with weight 1,\nan edge between node 8 and node 10 with weight 5,\nan edge between node 10 and node 9 with weight 2,\nQ: Give the shortest path from node 4 to node 1:"
            },
            {
                "from": "gpt",
                "value": "4->9->10->1."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph823",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 0 and node 15 with weight 7,\nan edge between node 0 and node 10 with weight 10,\nan edge between node 0 and node 6 with weight 4,\nan edge between node 3 and node 0 with weight 6,\nan edge between node 6 and node 1 with weight 8,\nan edge between node 1 and node 5 with weight 2,\nan edge between node 2 and node 15 with weight 6,\nan edge between node 3 and node 7 with weight 6,\nan edge between node 10 and node 3 with weight 9,\nan edge between node 3 and node 14 with weight 5,\nan edge between node 12 and node 3 with weight 2,\nan edge between node 15 and node 4 with weight 3,\nan edge between node 8 and node 4 with weight 5,\nan edge between node 10 and node 4 with weight 5,\nan edge between node 9 and node 4 with weight 5,\nan edge between node 5 and node 8 with weight 7,\nan edge between node 5 and node 14 with weight 6,\nan edge between node 5 and node 13 with weight 4,\nan edge between node 6 and node 5 with weight 4,\nan edge between node 12 and node 5 with weight 9,\nan edge between node 9 and node 6 with weight 9,\nan edge between node 7 and node 14 with weight 9,\nan edge between node 16 and node 7 with weight 5,\nan edge between node 14 and node 8 with weight 9,\nan edge between node 13 and node 8 with weight 3,\nan edge between node 8 and node 11 with weight 3,\nan edge between node 16 and node 8 with weight 4,\nan edge between node 9 and node 14 with weight 9,\nan edge between node 13 and node 9 with weight 6,\nan edge between node 10 and node 15 with weight 5,\nan edge between node 14 and node 10 with weight 3,\nan edge between node 13 and node 16 with weight 9,\nan edge between node 14 and node 16 with weight 6,\nan edge between node 16 and node 15 with weight 2,\nQ: Give the shortest path from node 5 to node 2:"
            },
            {
                "from": "gpt",
                "value": "5->8->16->15->2."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1144",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 0 and node 1 with weight 2,\nan edge between node 16 and node 1 with weight 9,\nan edge between node 11 and node 1 with weight 2,\nan edge between node 6 and node 1 with weight 10,\nan edge between node 5 and node 1 with weight 9,\nan edge between node 1 and node 9 with weight 6,\nan edge between node 6 and node 2 with weight 4,\nan edge between node 2 and node 7 with weight 8,\nan edge between node 12 and node 2 with weight 5,\nan edge between node 14 and node 2 with weight 4,\nan edge between node 15 and node 2 with weight 4,\nan edge between node 18 and node 3 with weight 7,\nan edge between node 13 and node 3 with weight 3,\nan edge between node 4 and node 16 with weight 5,\nan edge between node 10 and node 4 with weight 2,\nan edge between node 17 and node 4 with weight 10,\nan edge between node 5 and node 16 with weight 10,\nan edge between node 5 and node 11 with weight 1,\nan edge between node 9 and node 5 with weight 9,\nan edge between node 17 and node 6 with weight 8,\nan edge between node 12 and node 6 with weight 8,\nan edge between node 16 and node 7 with weight 6,\nan edge between node 12 and node 7 with weight 4,\nan edge between node 14 and node 7 with weight 8,\nan edge between node 7 and node 15 with weight 4,\nan edge between node 8 and node 16 with weight 1,\nan edge between node 8 and node 11 with weight 10,\nan edge between node 13 and node 8 with weight 3,\nan edge between node 19 and node 10 with weight 1,\nan edge between node 18 and node 10 with weight 6,\nan edge between node 10 and node 15 with weight 5,\nan edge between node 11 and node 19 with weight 2,\nan edge between node 13 and node 11 with weight 8,\nan edge between node 13 and node 16 with weight 8,\nan edge between node 14 and node 15 with weight 9,\nan edge between node 16 and node 15 with weight 6,\nan edge between node 19 and node 16 with weight 7,\nan edge between node 17 and node 16 with weight 9,\nan edge between node 19 and node 17 with weight 10,\nQ: Give the shortest path from node 9 to node 18:"
            },
            {
                "from": "gpt",
                "value": "9->1->11->19->10->18."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph198",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge between node 0 and node 2 with weight 1,\nan edge between node 0 and node 9 with weight 9,\nan edge between node 0 and node 5 with weight 9,\nan edge between node 1 and node 11 with weight 4,\nan edge between node 6 and node 2 with weight 1,\nan edge between node 2 and node 8 with weight 1,\nan edge between node 10 and node 3 with weight 9,\nan edge between node 3 and node 8 with weight 2,\nan edge between node 4 and node 10 with weight 1,\nan edge between node 4 and node 7 with weight 5,\nan edge between node 11 and node 4 with weight 2,\nan edge between node 4 and node 8 with weight 6,\nan edge between node 9 and node 4 with weight 1,\nan edge between node 5 and node 11 with weight 6,\nan edge between node 7 and node 6 with weight 10,\nan edge between node 8 and node 10 with weight 6,\nan edge between node 11 and node 9 with weight 8,\nan edge between node 10 and node 11 with weight 3,\nQ: Give the shortest path from node 10 to node 1:"
            },
            {
                "from": "gpt",
                "value": "10->11->1."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph252",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge between node 0 and node 4 with weight 3,\nan edge between node 1 and node 0 with weight 2,\nan edge between node 1 and node 7 with weight 8,\nan edge between node 9 and node 1 with weight 1,\nan edge between node 3 and node 2 with weight 9,\nan edge between node 2 and node 5 with weight 5,\nan edge between node 12 and node 2 with weight 7,\nan edge between node 3 and node 7 with weight 10,\nan edge between node 10 and node 3 with weight 1,\nan edge between node 12 and node 3 with weight 4,\nan edge between node 4 and node 7 with weight 3,\nan edge between node 5 and node 4 with weight 4,\nan edge between node 8 and node 4 with weight 2,\nan edge between node 4 and node 11 with weight 6,\nan edge between node 5 and node 9 with weight 6,\nan edge between node 5 and node 8 with weight 4,\nan edge between node 12 and node 6 with weight 8,\nan edge between node 7 and node 11 with weight 6,\nan edge between node 10 and node 8 with weight 9,\nan edge between node 9 and node 11 with weight 10,\nan edge between node 10 and node 11 with weight 10,\nQ: Give the shortest path from node 6 to node 0:"
            },
            {
                "from": "gpt",
                "value": "6->12->2->5->4->0."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph855",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge between node 9 and node 0 with weight 7,\nan edge between node 0 and node 15 with weight 8,\nan edge between node 2 and node 1 with weight 1,\nan edge between node 1 and node 7 with weight 8,\nan edge between node 1 and node 9 with weight 6,\nan edge between node 12 and node 1 with weight 7,\nan edge between node 17 and node 1 with weight 7,\nan edge between node 7 and node 2 with weight 5,\nan edge between node 2 and node 16 with weight 9,\nan edge between node 11 and node 2 with weight 10,\nan edge between node 2 and node 14 with weight 5,\nan edge between node 5 and node 2 with weight 5,\nan edge between node 9 and node 3 with weight 6,\nan edge between node 16 and node 3 with weight 2,\nan edge between node 11 and node 3 with weight 2,\nan edge between node 4 and node 6 with weight 1,\nan edge between node 4 and node 15 with weight 1,\nan edge between node 5 and node 7 with weight 10,\nan edge between node 12 and node 5 with weight 5,\nan edge between node 5 and node 13 with weight 10,\nan edge between node 5 and node 17 with weight 1,\nan edge between node 10 and node 5 with weight 7,\nan edge between node 5 and node 8 with weight 6,\nan edge between node 6 and node 17 with weight 3,\nan edge between node 17 and node 8 with weight 10,\nan edge between node 8 and node 10 with weight 2,\nan edge between node 12 and node 9 with weight 5,\nan edge between node 9 and node 13 with weight 7,\nan edge between node 9 and node 16 with weight 2,\nan edge between node 11 and node 9 with weight 7,\nan edge between node 9 and node 14 with weight 7,\nan edge between node 12 and node 16 with weight 9,\nan edge between node 13 and node 17 with weight 9,\nQ: Give the shortest path from node 10 to node 15:"
            },
            {
                "from": "gpt",
                "value": "10->5->17->6->4->15."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph650",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge between node 0 and node 15 with weight 3,\nan edge between node 0 and node 14 with weight 10,\nan edge between node 12 and node 0 with weight 8,\nan edge between node 5 and node 0 with weight 3,\nan edge between node 4 and node 1 with weight 5,\nan edge between node 2 and node 9 with weight 2,\nan edge between node 2 and node 8 with weight 7,\nan edge between node 2 and node 6 with weight 6,\nan edge between node 3 and node 15 with weight 9,\nan edge between node 8 and node 3 with weight 1,\nan edge between node 12 and node 3 with weight 2,\nan edge between node 13 and node 3 with weight 10,\nan edge between node 9 and node 4 with weight 8,\nan edge between node 4 and node 8 with weight 6,\nan edge between node 10 and node 4 with weight 4,\nan edge between node 6 and node 4 with weight 9,\nan edge between node 5 and node 8 with weight 6,\nan edge between node 13 and node 5 with weight 2,\nan edge between node 6 and node 15 with weight 8,\nan edge between node 9 and node 6 with weight 1,\nan edge between node 14 and node 6 with weight 5,\nan edge between node 8 and node 6 with weight 7,\nan edge between node 6 and node 11 with weight 1,\nan edge between node 7 and node 9 with weight 7,\nan edge between node 8 and node 11 with weight 6,\nan edge between node 14 and node 9 with weight 5,\nan edge between node 10 and node 13 with weight 5,\nan edge between node 15 and node 12 with weight 5,\nan edge between node 13 and node 12 with weight 8,\nQ: Give the shortest path from node 4 to node 0:"
            },
            {
                "from": "gpt",
                "value": "4->10->13->5->0."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph294",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge between node 0 and node 6 with weight 9,\nan edge between node 0 and node 4 with weight 10,\nan edge between node 0 and node 8 with weight 9,\nan edge between node 10 and node 1 with weight 3,\nan edge between node 7 and node 1 with weight 1,\nan edge between node 1 and node 12 with weight 7,\nan edge between node 9 and node 1 with weight 7,\nan edge between node 2 and node 7 with weight 1,\nan edge between node 9 and node 2 with weight 6,\nan edge between node 7 and node 3 with weight 9,\nan edge between node 3 and node 4 with weight 7,\nan edge between node 3 and node 11 with weight 3,\nan edge between node 4 and node 5 with weight 6,\nan edge between node 5 and node 8 with weight 3,\nan edge between node 7 and node 6 with weight 5,\nan edge between node 12 and node 6 with weight 2,\nan edge between node 10 and node 7 with weight 6,\nan edge between node 12 and node 8 with weight 2,\nan edge between node 10 and node 12 with weight 3,\nQ: Give the shortest path from node 2 to node 8:"
            },
            {
                "from": "gpt",
                "value": "2->7->1->10->12->8."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1112",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 16 and node 0 with weight 4,\nan edge between node 12 and node 0 with weight 4,\nan edge between node 17 and node 0 with weight 10,\nan edge between node 18 and node 1 with weight 10,\nan edge between node 1 and node 6 with weight 7,\nan edge between node 1 and node 12 with weight 7,\nan edge between node 1 and node 4 with weight 8,\nan edge between node 1 and node 11 with weight 9,\nan edge between node 2 and node 18 with weight 10,\nan edge between node 2 and node 8 with weight 4,\nan edge between node 9 and node 3 with weight 2,\nan edge between node 3 and node 4 with weight 1,\nan edge between node 4 and node 14 with weight 2,\nan edge between node 13 and node 4 with weight 9,\nan edge between node 10 and node 4 with weight 5,\nan edge between node 5 and node 18 with weight 4,\nan edge between node 5 and node 15 with weight 10,\nan edge between node 6 and node 5 with weight 3,\nan edge between node 16 and node 5 with weight 9,\nan edge between node 5 and node 19 with weight 7,\nan edge between node 5 and node 8 with weight 7,\nan edge between node 18 and node 6 with weight 2,\nan edge between node 6 and node 11 with weight 8,\nan edge between node 7 and node 15 with weight 6,\nan edge between node 7 and node 16 with weight 4,\nan edge between node 14 and node 7 with weight 1,\nan edge between node 13 and node 7 with weight 8,\nan edge between node 12 and node 7 with weight 1,\nan edge between node 17 and node 7 with weight 6,\nan edge between node 9 and node 8 with weight 2,\nan edge between node 12 and node 8 with weight 7,\nan edge between node 14 and node 9 with weight 2,\nan edge between node 12 and node 15 with weight 3,\nan edge between node 12 and node 16 with weight 2,\nan edge between node 12 and node 14 with weight 8,\nan edge between node 13 and node 15 with weight 7,\nan edge between node 13 and node 17 with weight 4,\nan edge between node 14 and node 19 with weight 2,\nan edge between node 15 and node 17 with weight 6,\nan edge between node 15 and node 19 with weight 10,\nan edge between node 16 and node 18 with weight 2,\nan edge between node 18 and node 19 with weight 1,\nQ: Give the shortest path from node 18 to node 14:"
            },
            {
                "from": "gpt",
                "value": "18->19->14."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1127",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 0 and node 12 with weight 4,\nan edge between node 0 and node 11 with weight 4,\nan edge between node 6 and node 0 with weight 5,\nan edge between node 0 and node 10 with weight 3,\nan edge between node 1 and node 0 with weight 3,\nan edge between node 3 and node 0 with weight 4,\nan edge between node 2 and node 0 with weight 9,\nan edge between node 1 and node 12 with weight 7,\nan edge between node 2 and node 14 with weight 4,\nan edge between node 18 and node 2 with weight 3,\nan edge between node 11 and node 2 with weight 10,\nan edge between node 10 and node 2 with weight 10,\nan edge between node 7 and node 2 with weight 9,\nan edge between node 15 and node 2 with weight 10,\nan edge between node 5 and node 2 with weight 7,\nan edge between node 12 and node 3 with weight 10,\nan edge between node 3 and node 6 with weight 2,\nan edge between node 3 and node 13 with weight 10,\nan edge between node 4 and node 12 with weight 6,\nan edge between node 11 and node 4 with weight 4,\nan edge between node 4 and node 6 with weight 9,\nan edge between node 4 and node 19 with weight 2,\nan edge between node 5 and node 18 with weight 1,\nan edge between node 11 and node 5 with weight 4,\nan edge between node 5 and node 10 with weight 8,\nan edge between node 5 and node 15 with weight 7,\nan edge between node 13 and node 5 with weight 9,\nan edge between node 19 and node 5 with weight 9,\nan edge between node 6 and node 12 with weight 9,\nan edge between node 6 and node 16 with weight 8,\nan edge between node 6 and node 13 with weight 10,\nan edge between node 8 and node 17 with weight 8,\nan edge between node 12 and node 8 with weight 1,\nan edge between node 13 and node 8 with weight 3,\nan edge between node 18 and node 9 with weight 1,\nan edge between node 9 and node 12 with weight 4,\nan edge between node 9 and node 10 with weight 3,\nan edge between node 10 and node 18 with weight 9,\nan edge between node 10 and node 16 with weight 1,\nan edge between node 10 and node 13 with weight 7,\nan edge between node 11 and node 16 with weight 4,\nan edge between node 12 and node 13 with weight 4,\nan edge between node 13 and node 17 with weight 6,\nan edge between node 14 and node 17 with weight 4,\nan edge between node 19 and node 14 with weight 6,\nan edge between node 16 and node 17 with weight 5,\nQ: Give the shortest path from node 8 to node 7:"
            },
            {
                "from": "gpt",
                "value": "8->12->9->18->2->7."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph354",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge between node 0 and node 11 with weight 5,\nan edge between node 2 and node 0 with weight 2,\nan edge between node 0 and node 12 with weight 4,\nan edge between node 0 and node 10 with weight 1,\nan edge between node 8 and node 1 with weight 5,\nan edge between node 4 and node 3 with weight 7,\nan edge between node 9 and node 3 with weight 6,\nan edge between node 3 and node 6 with weight 5,\nan edge between node 9 and node 4 with weight 10,\nan edge between node 4 and node 11 with weight 6,\nan edge between node 12 and node 4 with weight 2,\nan edge between node 6 and node 5 with weight 2,\nan edge between node 12 and node 5 with weight 3,\nan edge between node 5 and node 10 with weight 9,\nan edge between node 6 and node 11 with weight 9,\nan edge between node 8 and node 6 with weight 9,\nan edge between node 7 and node 12 with weight 5,\nan edge between node 7 and node 10 with weight 7,\nan edge between node 9 and node 12 with weight 4,\nan edge between node 10 and node 11 with weight 10,\nan edge between node 12 and node 10 with weight 1,\nQ: Give the shortest path from node 4 to node 1:"
            },
            {
                "from": "gpt",
                "value": "4->12->5->6->8->1."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph124",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge between node 0 and node 6 with weight 4,\nan edge between node 0 and node 5 with weight 3,\nan edge between node 4 and node 1 with weight 4,\nan edge between node 5 and node 1 with weight 8,\nan edge between node 2 and node 8 with weight 9,\nan edge between node 2 and node 11 with weight 7,\nan edge between node 2 and node 4 with weight 4,\nan edge between node 5 and node 2 with weight 2,\nan edge between node 3 and node 11 with weight 4,\nan edge between node 4 and node 11 with weight 9,\nan edge between node 5 and node 10 with weight 3,\nan edge between node 6 and node 10 with weight 7,\nan edge between node 7 and node 10 with weight 3,\nan edge between node 8 and node 9 with weight 2,\nan edge between node 9 and node 11 with weight 4,\nQ: Give the shortest path from node 0 to node 9:"
            },
            {
                "from": "gpt",
                "value": "0->5->2->11->9."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph773",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 15 and node 0 with weight 10,\nan edge between node 0 and node 6 with weight 1,\nan edge between node 7 and node 0 with weight 1,\nan edge between node 16 and node 0 with weight 5,\nan edge between node 15 and node 1 with weight 3,\nan edge between node 7 and node 1 with weight 6,\nan edge between node 1 and node 4 with weight 6,\nan edge between node 15 and node 2 with weight 5,\nan edge between node 2 and node 14 with weight 8,\nan edge between node 3 and node 11 with weight 2,\nan edge between node 3 and node 14 with weight 1,\nan edge between node 13 and node 4 with weight 10,\nan edge between node 4 and node 14 with weight 5,\nan edge between node 8 and node 5 with weight 8,\nan edge between node 15 and node 5 with weight 10,\nan edge between node 10 and node 6 with weight 9,\nan edge between node 12 and node 7 with weight 1,\nan edge between node 8 and node 7 with weight 4,\nan edge between node 9 and node 13 with weight 7,\nan edge between node 11 and node 15 with weight 4,\nan edge between node 15 and node 12 with weight 3,\nan edge between node 14 and node 13 with weight 5,\nQ: Give the shortest path from node 10 to node 9:"
            },
            {
                "from": "gpt",
                "value": "10->6->0->7->12->15->11->3->14->13->9."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1098",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 0 and node 7 with weight 9,\nan edge between node 2 and node 0 with weight 5,\nan edge between node 0 and node 4 with weight 2,\nan edge between node 0 and node 1 with weight 1,\nan edge between node 6 and node 0 with weight 8,\nan edge between node 0 and node 3 with weight 6,\nan edge between node 9 and node 0 with weight 8,\nan edge between node 0 and node 17 with weight 5,\nan edge between node 0 and node 16 with weight 7,\nan edge between node 13 and node 1 with weight 2,\nan edge between node 1 and node 5 with weight 4,\nan edge between node 2 and node 8 with weight 5,\nan edge between node 2 and node 10 with weight 8,\nan edge between node 2 and node 14 with weight 7,\nan edge between node 2 and node 3 with weight 8,\nan edge between node 2 and node 11 with weight 3,\nan edge between node 17 and node 3 with weight 5,\nan edge between node 12 and node 4 with weight 1,\nan edge between node 6 and node 4 with weight 4,\nan edge between node 18 and node 4 with weight 6,\nan edge between node 9 and node 4 with weight 9,\nan edge between node 13 and node 5 with weight 10,\nan edge between node 5 and node 11 with weight 5,\nan edge between node 17 and node 6 with weight 5,\nan edge between node 16 and node 6 with weight 9,\nan edge between node 7 and node 8 with weight 4,\nan edge between node 10 and node 7 with weight 10,\nan edge between node 18 and node 7 with weight 7,\nan edge between node 19 and node 7 with weight 5,\nan edge between node 14 and node 8 with weight 10,\nan edge between node 15 and node 8 with weight 2,\nan edge between node 17 and node 9 with weight 4,\nan edge between node 9 and node 15 with weight 9,\nan edge between node 10 and node 12 with weight 3,\nan edge between node 11 and node 10 with weight 9,\nan edge between node 10 and node 17 with weight 2,\nan edge between node 11 and node 12 with weight 2,\nan edge between node 15 and node 11 with weight 6,\nan edge between node 12 and node 14 with weight 6,\nan edge between node 12 and node 16 with weight 2,\nan edge between node 14 and node 17 with weight 7,\nan edge between node 19 and node 14 with weight 10,\nan edge between node 18 and node 16 with weight 7,\nQ: Give the shortest path from node 6 to node 12:"
            },
            {
                "from": "gpt",
                "value": "6->4->12."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph3",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 9 and node 0 with weight 4,\nan edge between node 0 and node 3 with weight 1,\nan edge between node 10 and node 0 with weight 10,\nan edge between node 5 and node 1 with weight 9,\nan edge between node 1 and node 7 with weight 5,\nan edge between node 2 and node 5 with weight 4,\nan edge between node 3 and node 2 with weight 6,\nan edge between node 3 and node 8 with weight 10,\nan edge between node 10 and node 4 with weight 7,\nan edge between node 6 and node 9 with weight 10,\nan edge between node 8 and node 7 with weight 7,\nQ: Give the shortest path from node 1 to node 6:"
            },
            {
                "from": "gpt",
                "value": "1->5->2->3->0->9->6."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph12",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 0 and node 8 with weight 9,\nan edge between node 9 and node 0 with weight 6,\nan edge between node 4 and node 1 with weight 8,\nan edge between node 5 and node 1 with weight 9,\nan edge between node 6 and node 2 with weight 10,\nan edge between node 8 and node 3 with weight 5,\nan edge between node 3 and node 5 with weight 7,\nan edge between node 3 and node 10 with weight 6,\nan edge between node 6 and node 10 with weight 3,\nan edge between node 7 and node 9 with weight 6,\nan edge between node 9 and node 8 with weight 5,\nQ: Give the shortest path from node 2 to node 4:"
            },
            {
                "from": "gpt",
                "value": "2->6->10->3->5->1->4."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph519",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge between node 0 and node 13 with weight 5,\nan edge between node 0 and node 7 with weight 1,\nan edge between node 0 and node 6 with weight 1,\nan edge between node 1 and node 5 with weight 4,\nan edge between node 1 and node 14 with weight 7,\nan edge between node 3 and node 1 with weight 2,\nan edge between node 1 and node 4 with weight 8,\nan edge between node 11 and node 2 with weight 4,\nan edge between node 6 and node 2 with weight 1,\nan edge between node 7 and node 3 with weight 2,\nan edge between node 3 and node 4 with weight 4,\nan edge between node 8 and node 4 with weight 6,\nan edge between node 4 and node 11 with weight 8,\nan edge between node 14 and node 4 with weight 3,\nan edge between node 5 and node 12 with weight 7,\nan edge between node 8 and node 6 with weight 3,\nan edge between node 6 and node 12 with weight 1,\nan edge between node 10 and node 6 with weight 10,\nan edge between node 8 and node 13 with weight 4,\nan edge between node 8 and node 12 with weight 8,\nan edge between node 9 and node 14 with weight 3,\nan edge between node 13 and node 10 with weight 3,\nan edge between node 14 and node 11 with weight 10,\nan edge between node 12 and node 14 with weight 4,\nQ: Give the shortest path from node 13 to node 14:"
            },
            {
                "from": "gpt",
                "value": "13->0->6->12->14."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph729",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 0 and node 7 with weight 6,\nan edge between node 0 and node 16 with weight 7,\nan edge between node 1 and node 2 with weight 5,\nan edge between node 1 and node 5 with weight 2,\nan edge between node 1 and node 12 with weight 8,\nan edge between node 2 and node 6 with weight 6,\nan edge between node 5 and node 2 with weight 10,\nan edge between node 11 and node 2 with weight 1,\nan edge between node 14 and node 2 with weight 6,\nan edge between node 3 and node 13 with weight 6,\nan edge between node 14 and node 3 with weight 7,\nan edge between node 3 and node 8 with weight 1,\nan edge between node 6 and node 4 with weight 3,\nan edge between node 7 and node 4 with weight 8,\nan edge between node 11 and node 4 with weight 10,\nan edge between node 14 and node 4 with weight 9,\nan edge between node 4 and node 8 with weight 8,\nan edge between node 5 and node 11 with weight 4,\nan edge between node 10 and node 6 with weight 6,\nan edge between node 13 and node 6 with weight 8,\nan edge between node 10 and node 7 with weight 1,\nan edge between node 7 and node 8 with weight 8,\nan edge between node 13 and node 9 with weight 8,\nan edge between node 11 and node 10 with weight 5,\nan edge between node 14 and node 10 with weight 4,\nan edge between node 15 and node 12 with weight 3,\nan edge between node 12 and node 16 with weight 6,\nan edge between node 16 and node 15 with weight 8,\nQ: Give the shortest path from node 15 to node 7:"
            },
            {
                "from": "gpt",
                "value": "15->16->0->7."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph217",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge between node 0 and node 6 with weight 10,\nan edge between node 1 and node 10 with weight 10,\nan edge between node 1 and node 2 with weight 1,\nan edge between node 4 and node 1 with weight 8,\nan edge between node 3 and node 9 with weight 8,\nan edge between node 7 and node 3 with weight 3,\nan edge between node 3 and node 11 with weight 5,\nan edge between node 4 and node 8 with weight 4,\nan edge between node 5 and node 6 with weight 2,\nan edge between node 5 and node 11 with weight 1,\nan edge between node 6 and node 7 with weight 4,\nan edge between node 7 and node 8 with weight 1,\nan edge between node 8 and node 11 with weight 3,\nan edge between node 9 and node 10 with weight 5,\nan edge between node 9 and node 11 with weight 3,\nQ: Give the shortest path from node 2 to node 0:"
            },
            {
                "from": "gpt",
                "value": "2->1->4->8->7->6->0."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph744",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 0 and node 9 with weight 10,\nan edge between node 1 and node 15 with weight 1,\nan edge between node 1 and node 3 with weight 3,\nan edge between node 1 and node 6 with weight 8,\nan edge between node 12 and node 2 with weight 6,\nan edge between node 2 and node 7 with weight 9,\nan edge between node 2 and node 11 with weight 6,\nan edge between node 3 and node 2 with weight 8,\nan edge between node 10 and node 2 with weight 5,\nan edge between node 3 and node 6 with weight 4,\nan edge between node 5 and node 4 with weight 5,\nan edge between node 5 and node 12 with weight 5,\nan edge between node 13 and node 5 with weight 6,\nan edge between node 5 and node 6 with weight 7,\nan edge between node 5 and node 10 with weight 9,\nan edge between node 8 and node 7 with weight 9,\nan edge between node 8 and node 9 with weight 9,\nan edge between node 8 and node 16 with weight 6,\nan edge between node 14 and node 9 with weight 4,\nan edge between node 12 and node 9 with weight 7,\nan edge between node 14 and node 11 with weight 3,\nan edge between node 11 and node 16 with weight 3,\nan edge between node 14 and node 12 with weight 2,\nan edge between node 13 and node 16 with weight 1,\nan edge between node 15 and node 13 with weight 1,\nan edge between node 15 and node 14 with weight 8,\nQ: Give the shortest path from node 0 to node 3:"
            },
            {
                "from": "gpt",
                "value": "0->9->14->15->1->3."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1147",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 8 and node 0 with weight 5,\nan edge between node 0 and node 12 with weight 5,\nan edge between node 1 and node 13 with weight 6,\nan edge between node 5 and node 1 with weight 5,\nan edge between node 19 and node 1 with weight 4,\nan edge between node 2 and node 7 with weight 2,\nan edge between node 11 and node 2 with weight 2,\nan edge between node 10 and node 3 with weight 5,\nan edge between node 3 and node 8 with weight 8,\nan edge between node 17 and node 3 with weight 5,\nan edge between node 14 and node 3 with weight 4,\nan edge between node 4 and node 19 with weight 7,\nan edge between node 4 and node 9 with weight 8,\nan edge between node 16 and node 5 with weight 10,\nan edge between node 13 and node 6 with weight 10,\nan edge between node 6 and node 17 with weight 4,\nan edge between node 6 and node 15 with weight 9,\nan edge between node 12 and node 6 with weight 1,\nan edge between node 7 and node 11 with weight 10,\nan edge between node 13 and node 8 with weight 7,\nan edge between node 8 and node 9 with weight 2,\nan edge between node 15 and node 8 with weight 7,\nan edge between node 18 and node 9 with weight 8,\nan edge between node 9 and node 11 with weight 6,\nan edge between node 9 and node 17 with weight 5,\nan edge between node 10 and node 13 with weight 6,\nan edge between node 18 and node 10 with weight 1,\nan edge between node 17 and node 11 with weight 3,\nan edge between node 12 and node 16 with weight 1,\nan edge between node 13 and node 19 with weight 3,\nan edge between node 14 and node 18 with weight 8,\nan edge between node 17 and node 14 with weight 4,\nan edge between node 15 and node 18 with weight 10,\nan edge between node 16 and node 15 with weight 10,\nan edge between node 17 and node 18 with weight 6,\nQ: Give the shortest path from node 2 to node 5:"
            },
            {
                "from": "gpt",
                "value": "2->11->17->6->12->16->5."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1131",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 0 and node 11 with weight 3,\nan edge between node 0 and node 15 with weight 6,\nan edge between node 2 and node 0 with weight 4,\nan edge between node 1 and node 7 with weight 3,\nan edge between node 1 and node 3 with weight 7,\nan edge between node 2 and node 5 with weight 7,\nan edge between node 13 and node 2 with weight 5,\nan edge between node 4 and node 2 with weight 5,\nan edge between node 2 and node 14 with weight 6,\nan edge between node 5 and node 4 with weight 10,\nan edge between node 4 and node 7 with weight 3,\nan edge between node 4 and node 10 with weight 10,\nan edge between node 18 and node 4 with weight 4,\nan edge between node 6 and node 4 with weight 5,\nan edge between node 19 and node 4 with weight 4,\nan edge between node 6 and node 5 with weight 4,\nan edge between node 19 and node 5 with weight 7,\nan edge between node 11 and node 6 with weight 9,\nan edge between node 15 and node 6 with weight 9,\nan edge between node 7 and node 10 with weight 9,\nan edge between node 7 and node 8 with weight 2,\nan edge between node 14 and node 7 with weight 1,\nan edge between node 15 and node 8 with weight 8,\nan edge between node 10 and node 8 with weight 10,\nan edge between node 8 and node 16 with weight 2,\nan edge between node 8 and node 12 with weight 3,\nan edge between node 14 and node 8 with weight 5,\nan edge between node 11 and node 9 with weight 2,\nan edge between node 9 and node 16 with weight 2,\nan edge between node 9 and node 18 with weight 8,\nan edge between node 9 and node 12 with weight 1,\nan edge between node 17 and node 9 with weight 2,\nan edge between node 19 and node 9 with weight 6,\nan edge between node 13 and node 10 with weight 4,\nan edge between node 16 and node 10 with weight 9,\nan edge between node 18 and node 10 with weight 9,\nan edge between node 12 and node 10 with weight 4,\nan edge between node 19 and node 11 with weight 7,\nan edge between node 12 and node 15 with weight 9,\nan edge between node 12 and node 16 with weight 10,\nan edge between node 18 and node 12 with weight 7,\nan edge between node 12 and node 14 with weight 10,\nQ: Give the shortest path from node 3 to node 16:"
            },
            {
                "from": "gpt",
                "value": "3->1->7->8->16."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1067",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge between node 0 and node 7 with weight 4,\nan edge between node 14 and node 0 with weight 10,\nan edge between node 0 and node 11 with weight 3,\nan edge between node 0 and node 18 with weight 7,\nan edge between node 0 and node 10 with weight 6,\nan edge between node 0 and node 9 with weight 3,\nan edge between node 0 and node 13 with weight 2,\nan edge between node 1 and node 8 with weight 6,\nan edge between node 17 and node 1 with weight 7,\nan edge between node 10 and node 1 with weight 3,\nan edge between node 1 and node 9 with weight 7,\nan edge between node 15 and node 2 with weight 2,\nan edge between node 6 and node 2 with weight 9,\nan edge between node 2 and node 4 with weight 3,\nan edge between node 3 and node 2 with weight 5,\nan edge between node 2 and node 9 with weight 8,\nan edge between node 2 and node 13 with weight 7,\nan edge between node 3 and node 7 with weight 9,\nan edge between node 3 and node 4 with weight 3,\nan edge between node 3 and node 12 with weight 10,\nan edge between node 4 and node 7 with weight 10,\nan edge between node 4 and node 15 with weight 9,\nan edge between node 4 and node 8 with weight 5,\nan edge between node 4 and node 12 with weight 5,\nan edge between node 10 and node 4 with weight 5,\nan edge between node 16 and node 4 with weight 10,\nan edge between node 9 and node 4 with weight 3,\nan edge between node 13 and node 4 with weight 10,\nan edge between node 5 and node 14 with weight 2,\nan edge between node 15 and node 5 with weight 3,\nan edge between node 5 and node 11 with weight 7,\nan edge between node 16 and node 5 with weight 8,\nan edge between node 9 and node 5 with weight 4,\nan edge between node 6 and node 11 with weight 8,\nan edge between node 8 and node 6 with weight 8,\nan edge between node 15 and node 7 with weight 10,\nan edge between node 7 and node 13 with weight 6,\nan edge between node 15 and node 8 with weight 4,\nan edge between node 8 and node 12 with weight 5,\nan edge between node 9 and node 14 with weight 9,\nan edge between node 15 and node 9 with weight 10,\nan edge between node 9 and node 12 with weight 7,\nan edge between node 9 and node 17 with weight 6,\nan edge between node 10 and node 15 with weight 9,\nan edge between node 10 and node 12 with weight 8,\nan edge between node 17 and node 10 with weight 2,\nan edge between node 13 and node 10 with weight 7,\nan edge between node 14 and node 11 with weight 10,\nan edge between node 15 and node 11 with weight 10,\nan edge between node 14 and node 12 with weight 2,\nan edge between node 12 and node 18 with weight 8,\nan edge between node 15 and node 13 with weight 7,\nan edge between node 16 and node 13 with weight 1,\nan edge between node 15 and node 14 with weight 1,\nan edge between node 14 and node 16 with weight 5,\nan edge between node 15 and node 18 with weight 1,\nan edge between node 15 and node 16 with weight 3,\nQ: Give the shortest path from node 6 to node 17:"
            },
            {
                "from": "gpt",
                "value": "6->11->0->10->17."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph435",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge between node 0 and node 4 with weight 7,\nan edge between node 8 and node 0 with weight 9,\nan edge between node 4 and node 1 with weight 10,\nan edge between node 11 and node 1 with weight 5,\nan edge between node 5 and node 1 with weight 10,\nan edge between node 1 and node 2 with weight 6,\nan edge between node 10 and node 1 with weight 3,\nan edge between node 9 and node 1 with weight 10,\nan edge between node 1 and node 12 with weight 1,\nan edge between node 2 and node 5 with weight 1,\nan edge between node 2 and node 9 with weight 5,\nan edge between node 10 and node 3 with weight 9,\nan edge between node 3 and node 9 with weight 1,\nan edge between node 4 and node 10 with weight 6,\nan edge between node 7 and node 5 with weight 3,\nan edge between node 12 and node 5 with weight 5,\nan edge between node 6 and node 8 with weight 4,\nan edge between node 6 and node 13 with weight 8,\nan edge between node 6 and node 10 with weight 2,\nan edge between node 9 and node 6 with weight 9,\nan edge between node 8 and node 7 with weight 7,\nan edge between node 7 and node 13 with weight 6,\nan edge between node 10 and node 9 with weight 9,\nan edge between node 12 and node 9 with weight 4,\nan edge between node 11 and node 13 with weight 6,\nQ: Give the shortest path from node 7 to node 3:"
            },
            {
                "from": "gpt",
                "value": "7->5->2->9->3."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph79",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 6 and node 0 with weight 9,\nan edge between node 1 and node 5 with weight 10,\nan edge between node 1 and node 10 with weight 9,\nan edge between node 2 and node 10 with weight 10,\nan edge between node 2 and node 8 with weight 1,\nan edge between node 3 and node 9 with weight 8,\nan edge between node 4 and node 3 with weight 7,\nan edge between node 3 and node 8 with weight 1,\nan edge between node 4 and node 7 with weight 10,\nan edge between node 4 and node 8 with weight 2,\nan edge between node 7 and node 6 with weight 5,\nan edge between node 10 and node 6 with weight 7,\nan edge between node 6 and node 8 with weight 4,\nan edge between node 9 and node 7 with weight 2,\nan edge between node 10 and node 8 with weight 5,\nQ: Give the shortest path from node 5 to node 4:"
            },
            {
                "from": "gpt",
                "value": "5->1->10->8->4."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph659",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge between node 0 and node 14 with weight 4,\nan edge between node 5 and node 0 with weight 7,\nan edge between node 0 and node 10 with weight 4,\nan edge between node 0 and node 6 with weight 6,\nan edge between node 9 and node 1 with weight 1,\nan edge between node 5 and node 1 with weight 6,\nan edge between node 2 and node 4 with weight 4,\nan edge between node 2 and node 9 with weight 5,\nan edge between node 2 and node 6 with weight 10,\nan edge between node 3 and node 12 with weight 5,\nan edge between node 9 and node 3 with weight 1,\nan edge between node 3 and node 11 with weight 5,\nan edge between node 3 and node 6 with weight 5,\nan edge between node 12 and node 4 with weight 9,\nan edge between node 4 and node 9 with weight 3,\nan edge between node 12 and node 5 with weight 5,\nan edge between node 5 and node 7 with weight 1,\nan edge between node 6 and node 8 with weight 4,\nan edge between node 7 and node 6 with weight 5,\nan edge between node 7 and node 12 with weight 9,\nan edge between node 8 and node 13 with weight 4,\nan edge between node 15 and node 8 with weight 5,\nan edge between node 8 and node 14 with weight 3,\nan edge between node 9 and node 12 with weight 2,\nan edge between node 9 and node 11 with weight 8,\nan edge between node 10 and node 11 with weight 5,\nan edge between node 11 and node 15 with weight 1,\nQ: Give the shortest path from node 13 to node 1:"
            },
            {
                "from": "gpt",
                "value": "13->8->6->3->9->1."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph199",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge between node 0 and node 6 with weight 4,\nan edge between node 1 and node 2 with weight 1,\nan edge between node 6 and node 1 with weight 8,\nan edge between node 11 and node 2 with weight 5,\nan edge between node 11 and node 3 with weight 4,\nan edge between node 4 and node 11 with weight 10,\nan edge between node 4 and node 10 with weight 2,\nan edge between node 4 and node 7 with weight 10,\nan edge between node 8 and node 5 with weight 5,\nan edge between node 6 and node 9 with weight 10,\nan edge between node 6 and node 8 with weight 1,\nan edge between node 7 and node 9 with weight 10,\nan edge between node 11 and node 7 with weight 4,\nan edge between node 9 and node 11 with weight 1,\nQ: Give the shortest path from node 7 to node 5:"
            },
            {
                "from": "gpt",
                "value": "7->11->9->6->8->5."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph848",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge between node 3 and node 0 with weight 4,\nan edge between node 8 and node 0 with weight 9,\nan edge between node 7 and node 0 with weight 8,\nan edge between node 1 and node 12 with weight 1,\nan edge between node 14 and node 1 with weight 10,\nan edge between node 11 and node 1 with weight 1,\nan edge between node 3 and node 1 with weight 2,\nan edge between node 8 and node 1 with weight 3,\nan edge between node 2 and node 6 with weight 6,\nan edge between node 12 and node 2 with weight 7,\nan edge between node 2 and node 7 with weight 1,\nan edge between node 12 and node 3 with weight 10,\nan edge between node 3 and node 11 with weight 4,\nan edge between node 3 and node 10 with weight 7,\nan edge between node 4 and node 6 with weight 6,\nan edge between node 4 and node 15 with weight 5,\nan edge between node 4 and node 7 with weight 8,\nan edge between node 5 and node 12 with weight 9,\nan edge between node 8 and node 5 with weight 3,\nan edge between node 11 and node 6 with weight 6,\nan edge between node 7 and node 15 with weight 3,\nan edge between node 7 and node 13 with weight 9,\nan edge between node 7 and node 14 with weight 8,\nan edge between node 8 and node 15 with weight 2,\nan edge between node 12 and node 8 with weight 9,\nan edge between node 8 and node 17 with weight 9,\nan edge between node 13 and node 8 with weight 7,\nan edge between node 8 and node 11 with weight 4,\nan edge between node 12 and node 9 with weight 4,\nan edge between node 10 and node 12 with weight 1,\nan edge between node 10 and node 13 with weight 5,\nan edge between node 15 and node 11 with weight 6,\nan edge between node 17 and node 11 with weight 8,\nan edge between node 11 and node 16 with weight 6,\nan edge between node 12 and node 17 with weight 10,\nan edge between node 14 and node 17 with weight 10,\nQ: Give the shortest path from node 16 to node 10:"
            },
            {
                "from": "gpt",
                "value": "16->11->1->12->10."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph218",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge between node 10 and node 0 with weight 2,\nan edge between node 8 and node 0 with weight 3,\nan edge between node 5 and node 1 with weight 9,\nan edge between node 3 and node 1 with weight 1,\nan edge between node 2 and node 11 with weight 6,\nan edge between node 2 and node 8 with weight 2,\nan edge between node 8 and node 4 with weight 1,\nan edge between node 5 and node 11 with weight 7,\nan edge between node 8 and node 5 with weight 7,\nan edge between node 11 and node 6 with weight 5,\nan edge between node 8 and node 6 with weight 4,\nan edge between node 8 and node 7 with weight 4,\nan edge between node 7 and node 9 with weight 4,\nan edge between node 11 and node 8 with weight 6,\nQ: Give the shortest path from node 10 to node 3:"
            },
            {
                "from": "gpt",
                "value": "10->0->8->5->1->3."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph11",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 8 and node 0 with weight 8,\nan edge between node 3 and node 0 with weight 9,\nan edge between node 0 and node 9 with weight 1,\nan edge between node 8 and node 1 with weight 9,\nan edge between node 2 and node 6 with weight 7,\nan edge between node 2 and node 7 with weight 7,\nan edge between node 3 and node 5 with weight 10,\nan edge between node 4 and node 3 with weight 3,\nan edge between node 4 and node 9 with weight 7,\nan edge between node 10 and node 5 with weight 6,\nan edge between node 7 and node 5 with weight 10,\nan edge between node 7 and node 10 with weight 5,\nQ: Give the shortest path from node 1 to node 2:"
            },
            {
                "from": "gpt",
                "value": "1->8->0->3->5->7->2."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1133",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 0 and node 1 with weight 7,\nan edge between node 0 and node 8 with weight 6,\nan edge between node 1 and node 6 with weight 4,\nan edge between node 1 and node 10 with weight 7,\nan edge between node 17 and node 2 with weight 6,\nan edge between node 2 and node 5 with weight 8,\nan edge between node 3 and node 18 with weight 9,\nan edge between node 19 and node 3 with weight 8,\nan edge between node 4 and node 15 with weight 1,\nan edge between node 5 and node 16 with weight 8,\nan edge between node 5 and node 14 with weight 7,\nan edge between node 6 and node 18 with weight 3,\nan edge between node 12 and node 6 with weight 2,\nan edge between node 7 and node 19 with weight 4,\nan edge between node 7 and node 15 with weight 1,\nan edge between node 7 and node 8 with weight 9,\nan edge between node 8 and node 18 with weight 9,\nan edge between node 8 and node 12 with weight 4,\nan edge between node 9 and node 17 with weight 7,\nan edge between node 15 and node 9 with weight 7,\nan edge between node 9 and node 11 with weight 4,\nan edge between node 12 and node 9 with weight 5,\nan edge between node 14 and node 9 with weight 3,\nan edge between node 13 and node 10 with weight 8,\nan edge between node 11 and node 18 with weight 6,\nan edge between node 11 and node 15 with weight 4,\nan edge between node 19 and node 13 with weight 6,\nan edge between node 14 and node 17 with weight 6,\nan edge between node 15 and node 18 with weight 5,\nan edge between node 18 and node 17 with weight 4,\nQ: Give the shortest path from node 5 to node 1:"
            },
            {
                "from": "gpt",
                "value": "5->14->9->12->6->1."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph57",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 0 and node 8 with weight 8,\nan edge between node 3 and node 0 with weight 3,\nan edge between node 7 and node 0 with weight 6,\nan edge between node 6 and node 0 with weight 9,\nan edge between node 3 and node 1 with weight 1,\nan edge between node 10 and node 1 with weight 1,\nan edge between node 4 and node 2 with weight 2,\nan edge between node 2 and node 10 with weight 6,\nan edge between node 3 and node 5 with weight 8,\nan edge between node 7 and node 3 with weight 10,\nan edge between node 4 and node 8 with weight 6,\nan edge between node 5 and node 4 with weight 2,\nan edge between node 6 and node 5 with weight 3,\nan edge between node 10 and node 7 with weight 6,\nan edge between node 9 and node 8 with weight 8,\nQ: Give the shortest path from node 2 to node 6:"
            },
            {
                "from": "gpt",
                "value": "2->4->5->6."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph896",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge between node 13 and node 0 with weight 9,\nan edge between node 1 and node 3 with weight 4,\nan edge between node 1 and node 4 with weight 2,\nan edge between node 16 and node 2 with weight 2,\nan edge between node 5 and node 2 with weight 1,\nan edge between node 2 and node 9 with weight 7,\nan edge between node 16 and node 4 with weight 7,\nan edge between node 15 and node 4 with weight 1,\nan edge between node 4 and node 17 with weight 3,\nan edge between node 4 and node 11 with weight 6,\nan edge between node 4 and node 5 with weight 3,\nan edge between node 4 and node 6 with weight 3,\nan edge between node 17 and node 5 with weight 4,\nan edge between node 11 and node 5 with weight 4,\nan edge between node 8 and node 5 with weight 1,\nan edge between node 7 and node 9 with weight 10,\nan edge between node 8 and node 16 with weight 1,\nan edge between node 17 and node 8 with weight 9,\nan edge between node 8 and node 14 with weight 5,\nan edge between node 9 and node 12 with weight 10,\nan edge between node 10 and node 16 with weight 9,\nan edge between node 10 and node 13 with weight 8,\nan edge between node 11 and node 14 with weight 3,\nan edge between node 14 and node 13 with weight 5,\nan edge between node 16 and node 14 with weight 10,\nan edge between node 17 and node 14 with weight 5,\nan edge between node 16 and node 17 with weight 8,\nQ: Give the shortest path from node 7 to node 0:"
            },
            {
                "from": "gpt",
                "value": "7->9->2->5->8->14->13->0."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1197",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 6 and node 0 with weight 8,\nan edge between node 2 and node 0 with weight 9,\nan edge between node 15 and node 0 with weight 10,\nan edge between node 1 and node 0 with weight 10,\nan edge between node 10 and node 0 with weight 5,\nan edge between node 1 and node 16 with weight 7,\nan edge between node 3 and node 1 with weight 3,\nan edge between node 1 and node 15 with weight 9,\nan edge between node 1 and node 11 with weight 6,\nan edge between node 8 and node 1 with weight 9,\nan edge between node 1 and node 19 with weight 2,\nan edge between node 1 and node 9 with weight 4,\nan edge between node 15 and node 2 with weight 10,\nan edge between node 2 and node 11 with weight 8,\nan edge between node 8 and node 2 with weight 6,\nan edge between node 14 and node 2 with weight 9,\nan edge between node 3 and node 16 with weight 7,\nan edge between node 6 and node 3 with weight 2,\nan edge between node 3 and node 4 with weight 1,\nan edge between node 15 and node 3 with weight 4,\nan edge between node 3 and node 12 with weight 2,\nan edge between node 3 and node 19 with weight 3,\nan edge between node 3 and node 18 with weight 1,\nan edge between node 4 and node 6 with weight 10,\nan edge between node 4 and node 7 with weight 1,\nan edge between node 12 and node 4 with weight 10,\nan edge between node 5 and node 17 with weight 5,\nan edge between node 5 and node 11 with weight 1,\nan edge between node 8 and node 5 with weight 6,\nan edge between node 5 and node 10 with weight 5,\nan edge between node 6 and node 8 with weight 8,\nan edge between node 8 and node 15 with weight 6,\nan edge between node 12 and node 8 with weight 6,\nan edge between node 12 and node 9 with weight 8,\nan edge between node 16 and node 10 with weight 10,\nan edge between node 12 and node 17 with weight 6,\nan edge between node 13 and node 12 with weight 5,\nan edge between node 14 and node 17 with weight 1,\nan edge between node 17 and node 15 with weight 6,\nan edge between node 19 and node 15 with weight 5,\nan edge between node 18 and node 19 with weight 4,\nQ: Give the shortest path from node 2 to node 7:"
            },
            {
                "from": "gpt",
                "value": "2->15->3->4->7."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph407",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge between node 0 and node 4 with weight 6,\nan edge between node 4 and node 1 with weight 9,\nan edge between node 12 and node 2 with weight 10,\nan edge between node 2 and node 10 with weight 7,\nan edge between node 3 and node 6 with weight 7,\nan edge between node 12 and node 3 with weight 2,\nan edge between node 13 and node 4 with weight 1,\nan edge between node 5 and node 6 with weight 3,\nan edge between node 10 and node 5 with weight 9,\nan edge between node 11 and node 7 with weight 6,\nan edge between node 13 and node 7 with weight 10,\nan edge between node 7 and node 12 with weight 8,\nan edge between node 7 and node 8 with weight 3,\nan edge between node 8 and node 13 with weight 8,\nan edge between node 8 and node 12 with weight 6,\nan edge between node 11 and node 9 with weight 9,\nan edge between node 12 and node 11 with weight 5,\nQ: Give the shortest path from node 5 to node 1:"
            },
            {
                "from": "gpt",
                "value": "5->6->3->12->8->13->4->1."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph768",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 15 and node 0 with weight 8,\nan edge between node 13 and node 1 with weight 4,\nan edge between node 1 and node 3 with weight 1,\nan edge between node 2 and node 5 with weight 7,\nan edge between node 16 and node 2 with weight 9,\nan edge between node 3 and node 8 with weight 9,\nan edge between node 16 and node 3 with weight 2,\nan edge between node 3 and node 10 with weight 6,\nan edge between node 5 and node 4 with weight 8,\nan edge between node 15 and node 4 with weight 7,\nan edge between node 16 and node 4 with weight 10,\nan edge between node 5 and node 9 with weight 7,\nan edge between node 5 and node 6 with weight 2,\nan edge between node 16 and node 6 with weight 8,\nan edge between node 7 and node 8 with weight 7,\nan edge between node 13 and node 7 with weight 9,\nan edge between node 8 and node 15 with weight 9,\nan edge between node 8 and node 9 with weight 3,\nan edge between node 16 and node 8 with weight 1,\nan edge between node 15 and node 9 with weight 8,\nan edge between node 9 and node 16 with weight 6,\nan edge between node 11 and node 12 with weight 1,\nan edge between node 12 and node 13 with weight 6,\nan edge between node 15 and node 13 with weight 3,\nan edge between node 15 and node 14 with weight 9,\nan edge between node 16 and node 15 with weight 5,\nQ: Give the shortest path from node 14 to node 3:"
            },
            {
                "from": "gpt",
                "value": "14->15->16->3."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph671",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge between node 3 and node 0 with weight 7,\nan edge between node 13 and node 1 with weight 7,\nan edge between node 1 and node 3 with weight 8,\nan edge between node 1 and node 9 with weight 2,\nan edge between node 1 and node 10 with weight 8,\nan edge between node 1 and node 5 with weight 4,\nan edge between node 4 and node 1 with weight 3,\nan edge between node 2 and node 8 with weight 1,\nan edge between node 6 and node 2 with weight 8,\nan edge between node 4 and node 2 with weight 8,\nan edge between node 3 and node 8 with weight 1,\nan edge between node 5 and node 3 with weight 7,\nan edge between node 13 and node 5 with weight 7,\nan edge between node 5 and node 15 with weight 7,\nan edge between node 6 and node 7 with weight 5,\nan edge between node 14 and node 6 with weight 2,\nan edge between node 6 and node 11 with weight 1,\nan edge between node 13 and node 7 with weight 6,\nan edge between node 8 and node 9 with weight 9,\nan edge between node 15 and node 8 with weight 3,\nan edge between node 10 and node 9 with weight 6,\nan edge between node 11 and node 9 with weight 1,\nan edge between node 13 and node 10 with weight 3,\nan edge between node 11 and node 10 with weight 6,\nan edge between node 12 and node 11 with weight 6,\nan edge between node 14 and node 11 with weight 3,\nQ: Give the shortest path from node 12 to node 0:"
            },
            {
                "from": "gpt",
                "value": "12->11->9->1->3->0."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph828",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 7 and node 0 with weight 8,\nan edge between node 0 and node 10 with weight 5,\nan edge between node 5 and node 0 with weight 3,\nan edge between node 0 and node 12 with weight 10,\nan edge between node 1 and node 7 with weight 2,\nan edge between node 3 and node 1 with weight 7,\nan edge between node 1 and node 8 with weight 6,\nan edge between node 2 and node 15 with weight 1,\nan edge between node 2 and node 11 with weight 7,\nan edge between node 16 and node 2 with weight 9,\nan edge between node 12 and node 2 with weight 1,\nan edge between node 3 and node 11 with weight 5,\nan edge between node 14 and node 3 with weight 3,\nan edge between node 7 and node 4 with weight 6,\nan edge between node 10 and node 4 with weight 2,\nan edge between node 12 and node 4 with weight 10,\nan edge between node 5 and node 8 with weight 10,\nan edge between node 12 and node 5 with weight 9,\nan edge between node 6 and node 7 with weight 4,\nan edge between node 11 and node 6 with weight 2,\nan edge between node 13 and node 7 with weight 8,\nan edge between node 7 and node 12 with weight 4,\nan edge between node 8 and node 16 with weight 4,\nan edge between node 8 and node 14 with weight 1,\nan edge between node 9 and node 10 with weight 8,\nan edge between node 12 and node 14 with weight 9,\nan edge between node 16 and node 14 with weight 1,\nQ: Give the shortest path from node 3 to node 9:"
            },
            {
                "from": "gpt",
                "value": "3->1->7->4->10->9."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph526",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge between node 11 and node 0 with weight 5,\nan edge between node 0 and node 6 with weight 8,\nan edge between node 0 and node 7 with weight 3,\nan edge between node 1 and node 13 with weight 1,\nan edge between node 2 and node 13 with weight 4,\nan edge between node 2 and node 5 with weight 5,\nan edge between node 4 and node 2 with weight 6,\nan edge between node 3 and node 8 with weight 3,\nan edge between node 11 and node 3 with weight 5,\nan edge between node 4 and node 11 with weight 3,\nan edge between node 4 and node 6 with weight 4,\nan edge between node 5 and node 10 with weight 6,\nan edge between node 7 and node 5 with weight 5,\nan edge between node 6 and node 9 with weight 9,\nan edge between node 12 and node 7 with weight 7,\nan edge between node 7 and node 14 with weight 4,\nan edge between node 13 and node 8 with weight 2,\nan edge between node 8 and node 11 with weight 3,\nan edge between node 14 and node 8 with weight 5,\nan edge between node 9 and node 10 with weight 9,\nan edge between node 12 and node 9 with weight 2,\nan edge between node 11 and node 13 with weight 1,\nan edge between node 12 and node 14 with weight 9,\nan edge between node 14 and node 13 with weight 3,\nQ: Give the shortest path from node 5 to node 14:"
            },
            {
                "from": "gpt",
                "value": "5->7->14."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1186",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 1 and node 0 with weight 4,\nan edge between node 6 and node 0 with weight 9,\nan edge between node 0 and node 10 with weight 4,\nan edge between node 15 and node 0 with weight 4,\nan edge between node 16 and node 1 with weight 10,\nan edge between node 1 and node 14 with weight 8,\nan edge between node 6 and node 1 with weight 10,\nan edge between node 7 and node 1 with weight 9,\nan edge between node 10 and node 2 with weight 4,\nan edge between node 3 and node 2 with weight 7,\nan edge between node 5 and node 2 with weight 5,\nan edge between node 2 and node 11 with weight 9,\nan edge between node 16 and node 3 with weight 1,\nan edge between node 4 and node 3 with weight 3,\nan edge between node 3 and node 11 with weight 3,\nan edge between node 3 and node 8 with weight 10,\nan edge between node 9 and node 3 with weight 2,\nan edge between node 12 and node 4 with weight 10,\nan edge between node 4 and node 10 with weight 10,\nan edge between node 9 and node 4 with weight 10,\nan edge between node 5 and node 17 with weight 6,\nan edge between node 6 and node 5 with weight 2,\nan edge between node 10 and node 5 with weight 1,\nan edge between node 5 and node 9 with weight 1,\nan edge between node 6 and node 10 with weight 9,\nan edge between node 6 and node 15 with weight 10,\nan edge between node 18 and node 6 with weight 7,\nan edge between node 16 and node 7 with weight 5,\nan edge between node 18 and node 7 with weight 6,\nan edge between node 13 and node 7 with weight 6,\nan edge between node 8 and node 7 with weight 3,\nan edge between node 15 and node 8 with weight 6,\nan edge between node 8 and node 18 with weight 2,\nan edge between node 13 and node 8 with weight 6,\nan edge between node 12 and node 9 with weight 7,\nan edge between node 9 and node 15 with weight 7,\nan edge between node 10 and node 12 with weight 1,\nan edge between node 10 and node 18 with weight 2,\nan edge between node 11 and node 16 with weight 1,\nan edge between node 11 and node 14 with weight 4,\nan edge between node 11 and node 15 with weight 1,\nan edge between node 11 and node 18 with weight 2,\nan edge between node 17 and node 12 with weight 5,\nan edge between node 12 and node 14 with weight 6,\nan edge between node 13 and node 17 with weight 7,\nan edge between node 14 and node 19 with weight 6,\nan edge between node 15 and node 17 with weight 10,\nan edge between node 17 and node 16 with weight 5,\nan edge between node 17 and node 18 with weight 5,\nan edge between node 19 and node 18 with weight 8,\nQ: Give the shortest path from node 13 to node 1:"
            },
            {
                "from": "gpt",
                "value": "13->7->1."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph176",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge between node 0 and node 2 with weight 10,\nan edge between node 0 and node 8 with weight 7,\nan edge between node 11 and node 1 with weight 5,\nan edge between node 8 and node 1 with weight 6,\nan edge between node 3 and node 4 with weight 5,\nan edge between node 10 and node 3 with weight 8,\nan edge between node 3 and node 9 with weight 3,\nan edge between node 11 and node 4 with weight 10,\nan edge between node 9 and node 4 with weight 5,\nan edge between node 5 and node 11 with weight 3,\nan edge between node 10 and node 5 with weight 1,\nan edge between node 5 and node 9 with weight 8,\nan edge between node 11 and node 6 with weight 6,\nan edge between node 10 and node 6 with weight 4,\nan edge between node 7 and node 6 with weight 6,\nan edge between node 11 and node 7 with weight 2,\nan edge between node 7 and node 10 with weight 2,\nan edge between node 10 and node 11 with weight 10,\nQ: Give the shortest path from node 9 to node 2:"
            },
            {
                "from": "gpt",
                "value": "9->5->11->1->8->0->2."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph32",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 0 and node 5 with weight 8,\nan edge between node 1 and node 6 with weight 5,\nan edge between node 6 and node 2 with weight 8,\nan edge between node 9 and node 2 with weight 8,\nan edge between node 7 and node 3 with weight 9,\nan edge between node 10 and node 4 with weight 10,\nan edge between node 9 and node 4 with weight 6,\nan edge between node 8 and node 5 with weight 9,\nan edge between node 5 and node 9 with weight 7,\nan edge between node 7 and node 8 with weight 7,\nan edge between node 9 and node 7 with weight 9,\nQ: Give the shortest path from node 8 to node 6:"
            },
            {
                "from": "gpt",
                "value": "8->7->9->2->6."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph422",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge between node 10 and node 0 with weight 5,\nan edge between node 8 and node 0 with weight 6,\nan edge between node 0 and node 9 with weight 2,\nan edge between node 0 and node 1 with weight 2,\nan edge between node 0 and node 11 with weight 8,\nan edge between node 1 and node 4 with weight 9,\nan edge between node 1 and node 7 with weight 7,\nan edge between node 2 and node 12 with weight 8,\nan edge between node 3 and node 2 with weight 8,\nan edge between node 10 and node 4 with weight 4,\nan edge between node 13 and node 4 with weight 5,\nan edge between node 8 and node 4 with weight 2,\nan edge between node 4 and node 5 with weight 4,\nan edge between node 6 and node 4 with weight 4,\nan edge between node 8 and node 5 with weight 5,\nan edge between node 11 and node 5 with weight 4,\nan edge between node 6 and node 13 with weight 8,\nan edge between node 8 and node 6 with weight 4,\nan edge between node 10 and node 7 with weight 1,\nan edge between node 11 and node 7 with weight 4,\nan edge between node 10 and node 8 with weight 4,\nan edge between node 9 and node 8 with weight 1,\nan edge between node 11 and node 8 with weight 4,\nan edge between node 9 and node 12 with weight 9,\nan edge between node 13 and node 11 with weight 4,\nQ: Give the shortest path from node 3 to node 7:"
            },
            {
                "from": "gpt",
                "value": "3->2->12->9->8->10->7."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph125",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge between node 8 and node 0 with weight 4,\nan edge between node 1 and node 8 with weight 3,\nan edge between node 1 and node 2 with weight 10,\nan edge between node 5 and node 1 with weight 8,\nan edge between node 2 and node 4 with weight 2,\nan edge between node 5 and node 2 with weight 5,\nan edge between node 2 and node 6 with weight 3,\nan edge between node 3 and node 10 with weight 1,\nan edge between node 4 and node 8 with weight 3,\nan edge between node 4 and node 5 with weight 5,\nan edge between node 9 and node 4 with weight 8,\nan edge between node 5 and node 8 with weight 4,\nan edge between node 7 and node 5 with weight 9,\nan edge between node 5 and node 6 with weight 1,\nan edge between node 6 and node 9 with weight 3,\nan edge between node 10 and node 8 with weight 2,\nan edge between node 11 and node 10 with weight 2,\nQ: Give the shortest path from node 5 to node 10:"
            },
            {
                "from": "gpt",
                "value": "5->8->10."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph943",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge between node 15 and node 0 with weight 4,\nan edge between node 0 and node 14 with weight 1,\nan edge between node 0 and node 7 with weight 7,\nan edge between node 2 and node 0 with weight 9,\nan edge between node 0 and node 5 with weight 8,\nan edge between node 1 and node 16 with weight 2,\nan edge between node 3 and node 1 with weight 3,\nan edge between node 1 and node 17 with weight 5,\nan edge between node 1 and node 5 with weight 7,\nan edge between node 9 and node 1 with weight 9,\nan edge between node 2 and node 16 with weight 2,\nan edge between node 6 and node 2 with weight 8,\nan edge between node 2 and node 12 with weight 5,\nan edge between node 11 and node 2 with weight 7,\nan edge between node 3 and node 2 with weight 1,\nan edge between node 17 and node 2 with weight 1,\nan edge between node 5 and node 2 with weight 10,\nan edge between node 12 and node 3 with weight 2,\nan edge between node 11 and node 3 with weight 7,\nan edge between node 4 and node 15 with weight 1,\nan edge between node 4 and node 14 with weight 10,\nan edge between node 4 and node 5 with weight 6,\nan edge between node 7 and node 5 with weight 2,\nan edge between node 7 and node 16 with weight 10,\nan edge between node 7 and node 12 with weight 2,\nan edge between node 7 and node 14 with weight 7,\nan edge between node 8 and node 12 with weight 7,\nan edge between node 8 and node 10 with weight 7,\nan edge between node 10 and node 14 with weight 3,\nan edge between node 13 and node 11 with weight 1,\nan edge between node 12 and node 14 with weight 2,\nan edge between node 15 and node 13 with weight 1,\nan edge between node 17 and node 16 with weight 6,\nQ: Give the shortest path from node 9 to node 10:"
            },
            {
                "from": "gpt",
                "value": "9->1->3->12->14->10."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph379",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge between node 0 and node 5 with weight 9,\nan edge between node 7 and node 0 with weight 5,\nan edge between node 0 and node 11 with weight 2,\nan edge between node 6 and node 0 with weight 7,\nan edge between node 0 and node 2 with weight 2,\nan edge between node 1 and node 5 with weight 3,\nan edge between node 7 and node 1 with weight 10,\nan edge between node 8 and node 1 with weight 3,\nan edge between node 2 and node 5 with weight 3,\nan edge between node 2 and node 4 with weight 5,\nan edge between node 2 and node 8 with weight 1,\nan edge between node 3 and node 13 with weight 2,\nan edge between node 3 and node 5 with weight 9,\nan edge between node 9 and node 3 with weight 4,\nan edge between node 3 and node 11 with weight 6,\nan edge between node 13 and node 4 with weight 5,\nan edge between node 6 and node 4 with weight 10,\nan edge between node 12 and node 5 with weight 9,\nan edge between node 13 and node 6 with weight 9,\nan edge between node 11 and node 7 with weight 2,\nan edge between node 10 and node 9 with weight 1,\nQ: Give the shortest path from node 10 to node 8:"
            },
            {
                "from": "gpt",
                "value": "10->9->3->11->0->2->8."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph916",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge between node 1 and node 0 with weight 6,\nan edge between node 0 and node 15 with weight 8,\nan edge between node 0 and node 13 with weight 7,\nan edge between node 12 and node 0 with weight 5,\nan edge between node 1 and node 15 with weight 5,\nan edge between node 5 and node 1 with weight 6,\nan edge between node 1 and node 4 with weight 2,\nan edge between node 6 and node 1 with weight 2,\nan edge between node 8 and node 1 with weight 2,\nan edge between node 1 and node 17 with weight 5,\nan edge between node 4 and node 2 with weight 2,\nan edge between node 11 and node 2 with weight 9,\nan edge between node 14 and node 3 with weight 5,\nan edge between node 3 and node 16 with weight 4,\nan edge between node 12 and node 3 with weight 4,\nan edge between node 3 and node 8 with weight 4,\nan edge between node 4 and node 15 with weight 2,\nan edge between node 8 and node 5 with weight 9,\nan edge between node 5 and node 17 with weight 6,\nan edge between node 6 and node 9 with weight 1,\nan edge between node 8 and node 6 with weight 7,\nan edge between node 11 and node 6 with weight 6,\nan edge between node 7 and node 10 with weight 6,\nan edge between node 8 and node 17 with weight 2,\nan edge between node 9 and node 17 with weight 2,\nan edge between node 11 and node 9 with weight 9,\nan edge between node 10 and node 12 with weight 6,\nan edge between node 13 and node 11 with weight 8,\nan edge between node 12 and node 15 with weight 1,\nan edge between node 14 and node 13 with weight 6,\nan edge between node 13 and node 16 with weight 7,\nan edge between node 17 and node 13 with weight 3,\nan edge between node 15 and node 16 with weight 3,\nan edge between node 15 and node 17 with weight 1,\nan edge between node 17 and node 16 with weight 4,\nQ: Give the shortest path from node 2 to node 7:"
            },
            {
                "from": "gpt",
                "value": "2->4->15->12->10->7."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1139",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 7 and node 0 with weight 9,\nan edge between node 0 and node 1 with weight 7,\nan edge between node 0 and node 6 with weight 5,\nan edge between node 0 and node 15 with weight 7,\nan edge between node 0 and node 2 with weight 3,\nan edge between node 0 and node 4 with weight 4,\nan edge between node 13 and node 0 with weight 8,\nan edge between node 4 and node 1 with weight 3,\nan edge between node 1 and node 9 with weight 10,\nan edge between node 14 and node 1 with weight 5,\nan edge between node 2 and node 7 with weight 7,\nan edge between node 16 and node 2 with weight 8,\nan edge between node 10 and node 2 with weight 6,\nan edge between node 15 and node 2 with weight 8,\nan edge between node 2 and node 9 with weight 10,\nan edge between node 4 and node 3 with weight 6,\nan edge between node 13 and node 3 with weight 6,\nan edge between node 16 and node 4 with weight 8,\nan edge between node 4 and node 18 with weight 10,\nan edge between node 12 and node 4 with weight 7,\nan edge between node 5 and node 19 with weight 5,\nan edge between node 5 and node 8 with weight 4,\nan edge between node 14 and node 5 with weight 9,\nan edge between node 16 and node 6 with weight 2,\nan edge between node 7 and node 17 with weight 2,\nan edge between node 16 and node 7 with weight 8,\nan edge between node 15 and node 7 with weight 9,\nan edge between node 7 and node 14 with weight 3,\nan edge between node 17 and node 8 with weight 6,\nan edge between node 18 and node 8 with weight 10,\nan edge between node 9 and node 17 with weight 10,\nan edge between node 18 and node 9 with weight 5,\nan edge between node 9 and node 14 with weight 6,\nan edge between node 15 and node 10 with weight 4,\nan edge between node 10 and node 14 with weight 8,\nan edge between node 13 and node 10 with weight 5,\nan edge between node 16 and node 11 with weight 10,\nan edge between node 11 and node 12 with weight 6,\nan edge between node 16 and node 12 with weight 5,\nan edge between node 12 and node 15 with weight 9,\nan edge between node 15 and node 16 with weight 3,\nan edge between node 17 and node 19 with weight 3,\nQ: Give the shortest path from node 19 to node 3:"
            },
            {
                "from": "gpt",
                "value": "19->17->7->14->1->4->3."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph416",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge between node 12 and node 0 with weight 8,\nan edge between node 13 and node 0 with weight 9,\nan edge between node 1 and node 10 with weight 9,\nan edge between node 1 and node 8 with weight 9,\nan edge between node 3 and node 2 with weight 2,\nan edge between node 10 and node 2 with weight 9,\nan edge between node 13 and node 2 with weight 3,\nan edge between node 2 and node 7 with weight 6,\nan edge between node 3 and node 10 with weight 8,\nan edge between node 4 and node 3 with weight 2,\nan edge between node 3 and node 13 with weight 3,\nan edge between node 4 and node 6 with weight 9,\nan edge between node 11 and node 4 with weight 7,\nan edge between node 5 and node 13 with weight 10,\nan edge between node 5 and node 11 with weight 1,\nan edge between node 7 and node 12 with weight 3,\nan edge between node 9 and node 7 with weight 1,\nan edge between node 12 and node 9 with weight 4,\nQ: Give the shortest path from node 11 to node 6:"
            },
            {
                "from": "gpt",
                "value": "11->4->6."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1164",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 4 and node 0 with weight 9,\nan edge between node 0 and node 10 with weight 3,\nan edge between node 0 and node 18 with weight 9,\nan edge between node 0 and node 6 with weight 7,\nan edge between node 0 and node 15 with weight 10,\nan edge between node 1 and node 5 with weight 3,\nan edge between node 18 and node 1 with weight 10,\nan edge between node 1 and node 8 with weight 4,\nan edge between node 14 and node 1 with weight 8,\nan edge between node 11 and node 2 with weight 1,\nan edge between node 2 and node 5 with weight 8,\nan edge between node 18 and node 2 with weight 7,\nan edge between node 14 and node 2 with weight 9,\nan edge between node 15 and node 2 with weight 6,\nan edge between node 17 and node 3 with weight 3,\nan edge between node 3 and node 14 with weight 7,\nan edge between node 4 and node 17 with weight 5,\nan edge between node 7 and node 5 with weight 10,\nan edge between node 5 and node 12 with weight 3,\nan edge between node 6 and node 17 with weight 9,\nan edge between node 9 and node 6 with weight 10,\nan edge between node 16 and node 6 with weight 10,\nan edge between node 8 and node 6 with weight 7,\nan edge between node 6 and node 15 with weight 8,\nan edge between node 7 and node 8 with weight 7,\nan edge between node 8 and node 19 with weight 1,\nan edge between node 8 and node 10 with weight 6,\nan edge between node 8 and node 15 with weight 7,\nan edge between node 12 and node 9 with weight 7,\nan edge between node 10 and node 9 with weight 3,\nan edge between node 18 and node 9 with weight 9,\nan edge between node 10 and node 11 with weight 8,\nan edge between node 12 and node 17 with weight 1,\nan edge between node 16 and node 12 with weight 8,\nan edge between node 12 and node 14 with weight 10,\nan edge between node 14 and node 13 with weight 8,\nan edge between node 16 and node 15 with weight 1,\nan edge between node 17 and node 16 with weight 4,\nan edge between node 19 and node 17 with weight 5,\nan edge between node 19 and node 18 with weight 7,\nQ: Give the shortest path from node 19 to node 5:"
            },
            {
                "from": "gpt",
                "value": "19->8->1->5."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph995",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge between node 18 and node 0 with weight 5,\nan edge between node 0 and node 10 with weight 10,\nan edge between node 6 and node 1 with weight 3,\nan edge between node 10 and node 1 with weight 5,\nan edge between node 13 and node 2 with weight 2,\nan edge between node 2 and node 8 with weight 3,\nan edge between node 16 and node 2 with weight 10,\nan edge between node 3 and node 9 with weight 1,\nan edge between node 15 and node 4 with weight 6,\nan edge between node 4 and node 8 with weight 10,\nan edge between node 16 and node 4 with weight 1,\nan edge between node 9 and node 5 with weight 2,\nan edge between node 5 and node 8 with weight 1,\nan edge between node 6 and node 11 with weight 5,\nan edge between node 13 and node 7 with weight 9,\nan edge between node 7 and node 17 with weight 4,\nan edge between node 14 and node 7 with weight 10,\nan edge between node 8 and node 14 with weight 4,\nan edge between node 18 and node 9 with weight 4,\nan edge between node 15 and node 10 with weight 7,\nan edge between node 10 and node 12 with weight 3,\nan edge between node 18 and node 15 with weight 9,\nan edge between node 17 and node 18 with weight 4,\nQ: Give the shortest path from node 17 to node 11:"
            },
            {
                "from": "gpt",
                "value": "17->18->0->10->1->6->11."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph708",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge between node 9 and node 0 with weight 1,\nan edge between node 5 and node 0 with weight 10,\nan edge between node 1 and node 8 with weight 8,\nan edge between node 5 and node 1 with weight 8,\nan edge between node 1 and node 4 with weight 2,\nan edge between node 2 and node 6 with weight 4,\nan edge between node 2 and node 14 with weight 4,\nan edge between node 7 and node 2 with weight 4,\nan edge between node 5 and node 2 with weight 8,\nan edge between node 9 and node 3 with weight 3,\nan edge between node 3 and node 15 with weight 6,\nan edge between node 3 and node 12 with weight 4,\nan edge between node 14 and node 4 with weight 9,\nan edge between node 4 and node 8 with weight 5,\nan edge between node 4 and node 9 with weight 6,\nan edge between node 15 and node 4 with weight 2,\nan edge between node 10 and node 5 with weight 10,\nan edge between node 5 and node 8 with weight 5,\nan edge between node 5 and node 15 with weight 10,\nan edge between node 6 and node 10 with weight 7,\nan edge between node 6 and node 13 with weight 9,\nan edge between node 10 and node 7 with weight 3,\nan edge between node 8 and node 10 with weight 5,\nan edge between node 8 and node 14 with weight 7,\nan edge between node 8 and node 13 with weight 4,\nan edge between node 11 and node 8 with weight 1,\nan edge between node 14 and node 9 with weight 1,\nan edge between node 9 and node 12 with weight 1,\nan edge between node 14 and node 10 with weight 3,\nan edge between node 11 and node 10 with weight 1,\nan edge between node 15 and node 13 with weight 9,\nQ: Give the shortest path from node 12 to node 6:"
            },
            {
                "from": "gpt",
                "value": "12->9->14->2->6."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph530",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge between node 2 and node 0 with weight 3,\nan edge between node 0 and node 7 with weight 2,\nan edge between node 14 and node 0 with weight 1,\nan edge between node 2 and node 1 with weight 6,\nan edge between node 10 and node 1 with weight 1,\nan edge between node 3 and node 1 with weight 10,\nan edge between node 12 and node 1 with weight 4,\nan edge between node 9 and node 2 with weight 9,\nan edge between node 14 and node 2 with weight 6,\nan edge between node 2 and node 12 with weight 5,\nan edge between node 2 and node 8 with weight 3,\nan edge between node 5 and node 3 with weight 8,\nan edge between node 3 and node 11 with weight 5,\nan edge between node 3 and node 10 with weight 1,\nan edge between node 4 and node 5 with weight 6,\nan edge between node 4 and node 9 with weight 9,\nan edge between node 12 and node 4 with weight 10,\nan edge between node 4 and node 8 with weight 10,\nan edge between node 9 and node 5 with weight 6,\nan edge between node 13 and node 6 with weight 7,\nan edge between node 9 and node 6 with weight 9,\nan edge between node 6 and node 11 with weight 3,\nan edge between node 14 and node 6 with weight 4,\nan edge between node 13 and node 7 with weight 10,\nan edge between node 8 and node 13 with weight 4,\nan edge between node 11 and node 9 with weight 9,\nan edge between node 12 and node 9 with weight 1,\nan edge between node 11 and node 10 with weight 5,\nan edge between node 12 and node 10 with weight 5,\nQ: Give the shortest path from node 1 to node 6:"
            },
            {
                "from": "gpt",
                "value": "1->10->11->6."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph727",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 9 and node 0 with weight 2,\nan edge between node 12 and node 0 with weight 2,\nan edge between node 14 and node 0 with weight 8,\nan edge between node 0 and node 1 with weight 9,\nan edge between node 0 and node 10 with weight 6,\nan edge between node 1 and node 5 with weight 2,\nan edge between node 12 and node 1 with weight 2,\nan edge between node 1 and node 8 with weight 4,\nan edge between node 4 and node 1 with weight 10,\nan edge between node 8 and node 2 with weight 7,\nan edge between node 7 and node 2 with weight 5,\nan edge between node 3 and node 15 with weight 6,\nan edge between node 14 and node 3 with weight 5,\nan edge between node 13 and node 3 with weight 9,\nan edge between node 3 and node 10 with weight 7,\nan edge between node 9 and node 4 with weight 7,\nan edge between node 12 and node 5 with weight 4,\nan edge between node 11 and node 5 with weight 8,\nan edge between node 5 and node 14 with weight 2,\nan edge between node 6 and node 9 with weight 10,\nan edge between node 8 and node 6 with weight 5,\nan edge between node 7 and node 9 with weight 10,\nan edge between node 16 and node 8 with weight 2,\nan edge between node 15 and node 8 with weight 5,\nan edge between node 8 and node 14 with weight 7,\nan edge between node 15 and node 9 with weight 10,\nan edge between node 14 and node 10 with weight 9,\nan edge between node 12 and node 16 with weight 2,\nan edge between node 16 and node 15 with weight 2,\nQ: Give the shortest path from node 11 to node 7:"
            },
            {
                "from": "gpt",
                "value": "11->5->12->0->9->7."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph126",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge between node 0 and node 2 with weight 9,\nan edge between node 7 and node 0 with weight 4,\nan edge between node 8 and node 1 with weight 10,\nan edge between node 9 and node 1 with weight 4,\nan edge between node 1 and node 10 with weight 4,\nan edge between node 4 and node 2 with weight 9,\nan edge between node 3 and node 4 with weight 6,\nan edge between node 3 and node 6 with weight 3,\nan edge between node 3 and node 7 with weight 8,\nan edge between node 4 and node 7 with weight 8,\nan edge between node 7 and node 5 with weight 6,\nan edge between node 6 and node 9 with weight 1,\nan edge between node 10 and node 6 with weight 1,\nan edge between node 9 and node 7 with weight 6,\nan edge between node 8 and node 11 with weight 9,\nan edge between node 9 and node 8 with weight 3,\nQ: Give the shortest path from node 11 to node 2:"
            },
            {
                "from": "gpt",
                "value": "11->8->9->6->3->4->2."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph854",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge between node 0 and node 15 with weight 3,\nan edge between node 0 and node 12 with weight 4,\nan edge between node 0 and node 7 with weight 4,\nan edge between node 1 and node 12 with weight 1,\nan edge between node 3 and node 2 with weight 2,\nan edge between node 3 and node 15 with weight 1,\nan edge between node 7 and node 3 with weight 2,\nan edge between node 13 and node 4 with weight 9,\nan edge between node 6 and node 4 with weight 8,\nan edge between node 10 and node 4 with weight 3,\nan edge between node 7 and node 4 with weight 3,\nan edge between node 5 and node 8 with weight 10,\nan edge between node 13 and node 5 with weight 3,\nan edge between node 5 and node 15 with weight 2,\nan edge between node 5 and node 12 with weight 10,\nan edge between node 5 and node 11 with weight 9,\nan edge between node 9 and node 5 with weight 10,\nan edge between node 11 and node 6 with weight 9,\nan edge between node 7 and node 8 with weight 3,\nan edge between node 7 and node 11 with weight 9,\nan edge between node 8 and node 13 with weight 6,\nan edge between node 9 and node 8 with weight 8,\nan edge between node 9 and node 14 with weight 8,\nan edge between node 9 and node 15 with weight 4,\nan edge between node 10 and node 9 with weight 6,\nan edge between node 13 and node 10 with weight 3,\nan edge between node 10 and node 16 with weight 7,\nan edge between node 15 and node 10 with weight 7,\nan edge between node 15 and node 11 with weight 5,\nan edge between node 14 and node 13 with weight 4,\nan edge between node 14 and node 17 with weight 2,\nQ: Give the shortest path from node 2 to node 1:"
            },
            {
                "from": "gpt",
                "value": "2->3->15->0->12->1."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph777",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 0 and node 8 with weight 9,\nan edge between node 5 and node 0 with weight 8,\nan edge between node 0 and node 2 with weight 5,\nan edge between node 1 and node 7 with weight 6,\nan edge between node 1 and node 10 with weight 2,\nan edge between node 2 and node 13 with weight 1,\nan edge between node 3 and node 2 with weight 10,\nan edge between node 3 and node 14 with weight 1,\nan edge between node 4 and node 12 with weight 7,\nan edge between node 11 and node 4 with weight 9,\nan edge between node 14 and node 4 with weight 5,\nan edge between node 8 and node 4 with weight 3,\nan edge between node 15 and node 5 with weight 10,\nan edge between node 5 and node 14 with weight 9,\nan edge between node 6 and node 8 with weight 8,\nan edge between node 7 and node 15 with weight 6,\nan edge between node 16 and node 8 with weight 1,\nan edge between node 9 and node 8 with weight 6,\nan edge between node 9 and node 11 with weight 3,\nan edge between node 11 and node 10 with weight 2,\nan edge between node 14 and node 10 with weight 7,\nan edge between node 11 and node 13 with weight 1,\nan edge between node 13 and node 12 with weight 3,\nan edge between node 13 and node 14 with weight 4,\nan edge between node 14 and node 15 with weight 5,\nQ: Give the shortest path from node 14 to node 6:"
            },
            {
                "from": "gpt",
                "value": "14->4->8->6."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1182",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 12 and node 0 with weight 10,\nan edge between node 11 and node 0 with weight 8,\nan edge between node 3 and node 0 with weight 7,\nan edge between node 0 and node 1 with weight 9,\nan edge between node 1 and node 10 with weight 3,\nan edge between node 8 and node 1 with weight 6,\nan edge between node 18 and node 1 with weight 8,\nan edge between node 1 and node 15 with weight 9,\nan edge between node 1 and node 5 with weight 5,\nan edge between node 3 and node 1 with weight 10,\nan edge between node 2 and node 4 with weight 4,\nan edge between node 11 and node 2 with weight 1,\nan edge between node 5 and node 2 with weight 5,\nan edge between node 2 and node 3 with weight 1,\nan edge between node 3 and node 15 with weight 8,\nan edge between node 6 and node 3 with weight 9,\nan edge between node 11 and node 3 with weight 5,\nan edge between node 8 and node 4 with weight 1,\nan edge between node 4 and node 9 with weight 8,\nan edge between node 4 and node 7 with weight 4,\nan edge between node 4 and node 11 with weight 2,\nan edge between node 16 and node 4 with weight 5,\nan edge between node 13 and node 4 with weight 1,\nan edge between node 5 and node 19 with weight 7,\nan edge between node 9 and node 6 with weight 6,\nan edge between node 7 and node 6 with weight 6,\nan edge between node 6 and node 12 with weight 6,\nan edge between node 6 and node 19 with weight 6,\nan edge between node 13 and node 6 with weight 8,\nan edge between node 10 and node 7 with weight 9,\nan edge between node 8 and node 7 with weight 8,\nan edge between node 7 and node 9 with weight 5,\nan edge between node 17 and node 7 with weight 5,\nan edge between node 8 and node 11 with weight 5,\nan edge between node 19 and node 8 with weight 6,\nan edge between node 17 and node 9 with weight 1,\nan edge between node 9 and node 14 with weight 5,\nan edge between node 9 and node 19 with weight 5,\nan edge between node 18 and node 10 with weight 10,\nan edge between node 10 and node 11 with weight 5,\nan edge between node 12 and node 11 with weight 1,\nan edge between node 11 and node 15 with weight 7,\nan edge between node 18 and node 12 with weight 7,\nan edge between node 12 and node 13 with weight 6,\nan edge between node 15 and node 13 with weight 9,\nan edge between node 17 and node 13 with weight 7,\nan edge between node 14 and node 15 with weight 2,\nan edge between node 19 and node 14 with weight 3,\nan edge between node 15 and node 18 with weight 6,\nan edge between node 19 and node 16 with weight 4,\nan edge between node 19 and node 17 with weight 8,\nQ: Give the shortest path from node 16 to node 18:"
            },
            {
                "from": "gpt",
                "value": "16->4->11->12->18."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph870",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge between node 0 and node 6 with weight 3,\nan edge between node 0 and node 3 with weight 2,\nan edge between node 5 and node 0 with weight 4,\nan edge between node 9 and node 0 with weight 8,\nan edge between node 16 and node 0 with weight 5,\nan edge between node 13 and node 1 with weight 5,\nan edge between node 10 and node 1 with weight 1,\nan edge between node 1 and node 7 with weight 4,\nan edge between node 2 and node 1 with weight 2,\nan edge between node 1 and node 12 with weight 4,\nan edge between node 10 and node 2 with weight 8,\nan edge between node 15 and node 2 with weight 2,\nan edge between node 2 and node 11 with weight 4,\nan edge between node 2 and node 9 with weight 6,\nan edge between node 2 and node 8 with weight 8,\nan edge between node 3 and node 4 with weight 2,\nan edge between node 10 and node 3 with weight 3,\nan edge between node 3 and node 15 with weight 5,\nan edge between node 11 and node 3 with weight 10,\nan edge between node 3 and node 7 with weight 5,\nan edge between node 3 and node 8 with weight 3,\nan edge between node 5 and node 4 with weight 6,\nan edge between node 4 and node 16 with weight 9,\nan edge between node 4 and node 8 with weight 10,\nan edge between node 11 and node 6 with weight 9,\nan edge between node 12 and node 6 with weight 7,\nan edge between node 14 and node 8 with weight 7,\nan edge between node 8 and node 17 with weight 5,\nan edge between node 9 and node 8 with weight 10,\nan edge between node 11 and node 13 with weight 8,\nan edge between node 11 and node 15 with weight 2,\nan edge between node 16 and node 12 with weight 10,\nan edge between node 15 and node 17 with weight 3,\nan edge between node 16 and node 15 with weight 2,\nQ: Give the shortest path from node 14 to node 6:"
            },
            {
                "from": "gpt",
                "value": "14->8->3->0->6."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph887",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge between node 0 and node 4 with weight 10,\nan edge between node 0 and node 5 with weight 7,\nan edge between node 1 and node 7 with weight 10,\nan edge between node 9 and node 1 with weight 9,\nan edge between node 5 and node 1 with weight 1,\nan edge between node 2 and node 11 with weight 6,\nan edge between node 9 and node 2 with weight 1,\nan edge between node 2 and node 12 with weight 10,\nan edge between node 14 and node 3 with weight 2,\nan edge between node 11 and node 3 with weight 8,\nan edge between node 4 and node 11 with weight 10,\nan edge between node 16 and node 4 with weight 9,\nan edge between node 9 and node 4 with weight 2,\nan edge between node 15 and node 4 with weight 5,\nan edge between node 13 and node 5 with weight 2,\nan edge between node 5 and node 12 with weight 3,\nan edge between node 13 and node 6 with weight 2,\nan edge between node 8 and node 14 with weight 2,\nan edge between node 9 and node 10 with weight 2,\nan edge between node 9 and node 15 with weight 4,\nan edge between node 17 and node 11 with weight 4,\nan edge between node 15 and node 11 with weight 8,\nan edge between node 13 and node 17 with weight 10,\nan edge between node 15 and node 14 with weight 10,\nQ: Give the shortest path from node 14 to node 12:"
            },
            {
                "from": "gpt",
                "value": "14->15->9->2->12."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1152",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 0 and node 17 with weight 5,\nan edge between node 3 and node 0 with weight 9,\nan edge between node 2 and node 1 with weight 7,\nan edge between node 1 and node 9 with weight 10,\nan edge between node 17 and node 1 with weight 9,\nan edge between node 1 and node 3 with weight 1,\nan edge between node 2 and node 5 with weight 6,\nan edge between node 10 and node 2 with weight 1,\nan edge between node 4 and node 2 with weight 3,\nan edge between node 6 and node 2 with weight 2,\nan edge between node 3 and node 2 with weight 4,\nan edge between node 5 and node 3 with weight 6,\nan edge between node 3 and node 15 with weight 7,\nan edge between node 5 and node 4 with weight 5,\nan edge between node 12 and node 4 with weight 2,\nan edge between node 4 and node 11 with weight 1,\nan edge between node 4 and node 16 with weight 2,\nan edge between node 17 and node 5 with weight 7,\nan edge between node 5 and node 8 with weight 3,\nan edge between node 6 and node 18 with weight 9,\nan edge between node 19 and node 6 with weight 6,\nan edge between node 6 and node 8 with weight 1,\nan edge between node 13 and node 6 with weight 4,\nan edge between node 7 and node 14 with weight 3,\nan edge between node 7 and node 13 with weight 9,\nan edge between node 18 and node 8 with weight 6,\nan edge between node 8 and node 19 with weight 5,\nan edge between node 9 and node 8 with weight 1,\nan edge between node 8 and node 11 with weight 2,\nan edge between node 9 and node 18 with weight 1,\nan edge between node 13 and node 9 with weight 9,\nan edge between node 10 and node 13 with weight 9,\nan edge between node 15 and node 11 with weight 6,\nan edge between node 11 and node 12 with weight 9,\nan edge between node 11 and node 13 with weight 10,\nan edge between node 18 and node 12 with weight 8,\nan edge between node 17 and node 12 with weight 1,\nan edge between node 12 and node 13 with weight 2,\nQ: Give the shortest path from node 12 to node 0:"
            },
            {
                "from": "gpt",
                "value": "12->17->0."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph328",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge between node 0 and node 11 with weight 7,\nan edge between node 0 and node 6 with weight 8,\nan edge between node 1 and node 5 with weight 8,\nan edge between node 1 and node 3 with weight 1,\nan edge between node 9 and node 1 with weight 9,\nan edge between node 2 and node 1 with weight 10,\nan edge between node 2 and node 3 with weight 1,\nan edge between node 2 and node 6 with weight 6,\nan edge between node 3 and node 4 with weight 10,\nan edge between node 3 and node 7 with weight 9,\nan edge between node 4 and node 10 with weight 10,\nan edge between node 4 and node 11 with weight 3,\nan edge between node 10 and node 5 with weight 4,\nan edge between node 5 and node 7 with weight 4,\nan edge between node 5 and node 8 with weight 7,\nan edge between node 6 and node 9 with weight 8,\nan edge between node 7 and node 6 with weight 3,\nan edge between node 7 and node 12 with weight 9,\nan edge between node 8 and node 9 with weight 5,\nan edge between node 10 and node 9 with weight 10,\nQ: Give the shortest path from node 5 to node 9:"
            },
            {
                "from": "gpt",
                "value": "5->8->9."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph478",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge between node 4 and node 0 with weight 10,\nan edge between node 0 and node 11 with weight 2,\nan edge between node 1 and node 0 with weight 3,\nan edge between node 2 and node 0 with weight 1,\nan edge between node 1 and node 8 with weight 7,\nan edge between node 1 and node 6 with weight 7,\nan edge between node 2 and node 1 with weight 5,\nan edge between node 9 and node 1 with weight 7,\nan edge between node 8 and node 2 with weight 9,\nan edge between node 6 and node 2 with weight 4,\nan edge between node 9 and node 2 with weight 3,\nan edge between node 7 and node 3 with weight 6,\nan edge between node 13 and node 3 with weight 9,\nan edge between node 3 and node 10 with weight 7,\nan edge between node 3 and node 12 with weight 2,\nan edge between node 4 and node 7 with weight 7,\nan edge between node 4 and node 8 with weight 8,\nan edge between node 13 and node 4 with weight 8,\nan edge between node 5 and node 13 with weight 3,\nan edge between node 6 and node 5 with weight 5,\nan edge between node 7 and node 9 with weight 5,\nan edge between node 10 and node 8 with weight 7,\nan edge between node 12 and node 8 with weight 3,\nan edge between node 13 and node 9 with weight 6,\nan edge between node 11 and node 10 with weight 4,\nQ: Give the shortest path from node 1 to node 10:"
            },
            {
                "from": "gpt",
                "value": "1->0->11->10."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph816",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 8 and node 0 with weight 5,\nan edge between node 1 and node 0 with weight 1,\nan edge between node 6 and node 0 with weight 10,\nan edge between node 2 and node 0 with weight 5,\nan edge between node 0 and node 7 with weight 8,\nan edge between node 13 and node 1 with weight 2,\nan edge between node 1 and node 11 with weight 7,\nan edge between node 1 and node 15 with weight 5,\nan edge between node 13 and node 2 with weight 9,\nan edge between node 2 and node 9 with weight 7,\nan edge between node 2 and node 3 with weight 6,\nan edge between node 12 and node 3 with weight 8,\nan edge between node 3 and node 14 with weight 10,\nan edge between node 6 and node 3 with weight 5,\nan edge between node 3 and node 11 with weight 2,\nan edge between node 3 and node 15 with weight 10,\nan edge between node 4 and node 14 with weight 5,\nan edge between node 13 and node 4 with weight 3,\nan edge between node 10 and node 4 with weight 1,\nan edge between node 5 and node 12 with weight 8,\nan edge between node 12 and node 6 with weight 7,\nan edge between node 6 and node 8 with weight 6,\nan edge between node 6 and node 14 with weight 8,\nan edge between node 11 and node 7 with weight 5,\nan edge between node 14 and node 8 with weight 8,\nan edge between node 15 and node 9 with weight 5,\nan edge between node 9 and node 10 with weight 6,\nan edge between node 12 and node 16 with weight 3,\nan edge between node 13 and node 15 with weight 2,\nQ: Give the shortest path from node 16 to node 10:"
            },
            {
                "from": "gpt",
                "value": "16->12->6->14->4->10."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph24",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 2 and node 0 with weight 8,\nan edge between node 9 and node 0 with weight 5,\nan edge between node 1 and node 2 with weight 4,\nan edge between node 1 and node 6 with weight 5,\nan edge between node 1 and node 8 with weight 5,\nan edge between node 2 and node 10 with weight 9,\nan edge between node 9 and node 3 with weight 9,\nan edge between node 3 and node 8 with weight 2,\nan edge between node 4 and node 7 with weight 9,\nan edge between node 9 and node 4 with weight 8,\nan edge between node 5 and node 6 with weight 7,\nQ: Give the shortest path from node 7 to node 5:"
            },
            {
                "from": "gpt",
                "value": "7->4->9->3->8->1->6->5."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1064",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge between node 12 and node 0 with weight 10,\nan edge between node 6 and node 0 with weight 3,\nan edge between node 10 and node 0 with weight 7,\nan edge between node 17 and node 0 with weight 4,\nan edge between node 16 and node 0 with weight 8,\nan edge between node 0 and node 11 with weight 10,\nan edge between node 0 and node 13 with weight 3,\nan edge between node 1 and node 12 with weight 4,\nan edge between node 14 and node 1 with weight 5,\nan edge between node 8 and node 1 with weight 8,\nan edge between node 2 and node 1 with weight 9,\nan edge between node 13 and node 1 with weight 4,\nan edge between node 2 and node 18 with weight 5,\nan edge between node 2 and node 15 with weight 2,\nan edge between node 17 and node 2 with weight 9,\nan edge between node 2 and node 8 with weight 2,\nan edge between node 12 and node 3 with weight 4,\nan edge between node 18 and node 3 with weight 1,\nan edge between node 3 and node 11 with weight 1,\nan edge between node 7 and node 3 with weight 8,\nan edge between node 4 and node 18 with weight 3,\nan edge between node 10 and node 4 with weight 2,\nan edge between node 4 and node 13 with weight 3,\nan edge between node 12 and node 5 with weight 5,\nan edge between node 5 and node 15 with weight 6,\nan edge between node 6 and node 12 with weight 2,\nan edge between node 10 and node 6 with weight 10,\nan edge between node 8 and node 6 with weight 8,\nan edge between node 11 and node 6 with weight 3,\nan edge between node 7 and node 10 with weight 1,\nan edge between node 7 and node 8 with weight 4,\nan edge between node 13 and node 7 with weight 10,\nan edge between node 13 and node 8 with weight 8,\nan edge between node 9 and node 13 with weight 5,\nan edge between node 13 and node 10 with weight 1,\nan edge between node 13 and node 11 with weight 1,\nan edge between node 12 and node 15 with weight 4,\nan edge between node 17 and node 14 with weight 5,\nQ: Give the shortest path from node 16 to node 18:"
            },
            {
                "from": "gpt",
                "value": "16->0->13->11->3->18."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph525",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge between node 0 and node 6 with weight 6,\nan edge between node 3 and node 0 with weight 3,\nan edge between node 9 and node 0 with weight 6,\nan edge between node 1 and node 14 with weight 4,\nan edge between node 8 and node 1 with weight 8,\nan edge between node 5 and node 1 with weight 2,\nan edge between node 10 and node 1 with weight 8,\nan edge between node 8 and node 2 with weight 6,\nan edge between node 3 and node 2 with weight 4,\nan edge between node 7 and node 2 with weight 4,\nan edge between node 2 and node 9 with weight 3,\nan edge between node 11 and node 3 with weight 1,\nan edge between node 3 and node 4 with weight 9,\nan edge between node 8 and node 3 with weight 4,\nan edge between node 4 and node 13 with weight 3,\nan edge between node 6 and node 5 with weight 10,\nan edge between node 6 and node 12 with weight 10,\nan edge between node 6 and node 14 with weight 3,\nan edge between node 6 and node 13 with weight 4,\nan edge between node 8 and node 9 with weight 2,\nan edge between node 9 and node 12 with weight 4,\nan edge between node 9 and node 14 with weight 5,\nan edge between node 10 and node 12 with weight 4,\nan edge between node 12 and node 13 with weight 8,\nQ: Give the shortest path from node 1 to node 4:"
            },
            {
                "from": "gpt",
                "value": "1->14->6->13->4."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph815",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 0 and node 6 with weight 8,\nan edge between node 12 and node 0 with weight 10,\nan edge between node 1 and node 0 with weight 4,\nan edge between node 1 and node 14 with weight 3,\nan edge between node 1 and node 7 with weight 2,\nan edge between node 1 and node 13 with weight 4,\nan edge between node 1 and node 10 with weight 9,\nan edge between node 1 and node 15 with weight 2,\nan edge between node 5 and node 2 with weight 10,\nan edge between node 9 and node 2 with weight 2,\nan edge between node 11 and node 2 with weight 2,\nan edge between node 13 and node 3 with weight 7,\nan edge between node 3 and node 4 with weight 6,\nan edge between node 3 and node 8 with weight 9,\nan edge between node 13 and node 4 with weight 10,\nan edge between node 8 and node 4 with weight 5,\nan edge between node 11 and node 4 with weight 5,\nan edge between node 14 and node 5 with weight 3,\nan edge between node 15 and node 5 with weight 9,\nan edge between node 6 and node 5 with weight 5,\nan edge between node 6 and node 7 with weight 6,\nan edge between node 6 and node 8 with weight 3,\nan edge between node 9 and node 6 with weight 8,\nan edge between node 7 and node 10 with weight 5,\nan edge between node 16 and node 7 with weight 10,\nan edge between node 9 and node 7 with weight 4,\nan edge between node 11 and node 7 with weight 3,\nan edge between node 8 and node 15 with weight 7,\nan edge between node 16 and node 8 with weight 8,\nan edge between node 11 and node 8 with weight 6,\nan edge between node 14 and node 9 with weight 6,\nan edge between node 9 and node 13 with weight 6,\nan edge between node 9 and node 10 with weight 9,\nan edge between node 15 and node 9 with weight 6,\nan edge between node 13 and node 10 with weight 2,\nan edge between node 10 and node 15 with weight 2,\nan edge between node 10 and node 12 with weight 4,\nan edge between node 11 and node 10 with weight 9,\nan edge between node 14 and node 11 with weight 3,\nan edge between node 11 and node 13 with weight 10,\nan edge between node 12 and node 14 with weight 1,\nan edge between node 13 and node 15 with weight 7,\nan edge between node 14 and node 15 with weight 9,\nan edge between node 15 and node 16 with weight 10,\nQ: Give the shortest path from node 14 to node 16:"
            },
            {
                "from": "gpt",
                "value": "14->1->7->16."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph82",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 6 and node 0 with weight 10,\nan edge between node 4 and node 0 with weight 5,\nan edge between node 5 and node 0 with weight 7,\nan edge between node 1 and node 7 with weight 7,\nan edge between node 1 and node 9 with weight 9,\nan edge between node 1 and node 5 with weight 2,\nan edge between node 2 and node 3 with weight 2,\nan edge between node 6 and node 3 with weight 7,\nan edge between node 3 and node 10 with weight 8,\nan edge between node 4 and node 5 with weight 10,\nan edge between node 5 and node 8 with weight 1,\nan edge between node 9 and node 6 with weight 5,\nan edge between node 7 and node 8 with weight 3,\nan edge between node 10 and node 8 with weight 2,\nan edge between node 8 and node 9 with weight 7,\nan edge between node 9 and node 10 with weight 10,\nQ: Give the shortest path from node 1 to node 8:"
            },
            {
                "from": "gpt",
                "value": "1->5->8."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1155",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 12 and node 0 with weight 2,\nan edge between node 0 and node 5 with weight 2,\nan edge between node 18 and node 0 with weight 8,\nan edge between node 0 and node 11 with weight 7,\nan edge between node 7 and node 0 with weight 1,\nan edge between node 0 and node 2 with weight 1,\nan edge between node 14 and node 1 with weight 4,\nan edge between node 4 and node 1 with weight 1,\nan edge between node 1 and node 9 with weight 10,\nan edge between node 6 and node 1 with weight 2,\nan edge between node 2 and node 10 with weight 5,\nan edge between node 2 and node 17 with weight 6,\nan edge between node 2 and node 15 with weight 6,\nan edge between node 18 and node 3 with weight 3,\nan edge between node 3 and node 8 with weight 9,\nan edge between node 3 and node 4 with weight 7,\nan edge between node 3 and node 6 with weight 8,\nan edge between node 4 and node 19 with weight 7,\nan edge between node 4 and node 13 with weight 8,\nan edge between node 4 and node 9 with weight 5,\nan edge between node 5 and node 16 with weight 3,\nan edge between node 11 and node 5 with weight 5,\nan edge between node 19 and node 6 with weight 6,\nan edge between node 6 and node 16 with weight 5,\nan edge between node 6 and node 13 with weight 5,\nan edge between node 6 and node 17 with weight 7,\nan edge between node 6 and node 15 with weight 1,\nan edge between node 7 and node 12 with weight 8,\nan edge between node 19 and node 7 with weight 5,\nan edge between node 7 and node 18 with weight 5,\nan edge between node 19 and node 8 with weight 7,\nan edge between node 8 and node 18 with weight 6,\nan edge between node 16 and node 8 with weight 10,\nan edge between node 13 and node 8 with weight 10,\nan edge between node 9 and node 13 with weight 7,\nan edge between node 9 and node 14 with weight 2,\nan edge between node 9 and node 15 with weight 4,\nan edge between node 19 and node 10 with weight 3,\nan edge between node 11 and node 16 with weight 9,\nan edge between node 16 and node 13 with weight 8,\nan edge between node 13 and node 14 with weight 3,\nan edge between node 15 and node 19 with weight 4,\nQ: Give the shortest path from node 14 to node 12:"
            },
            {
                "from": "gpt",
                "value": "14->9->15->2->0->12."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph220",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge between node 9 and node 0 with weight 1,\nan edge between node 5 and node 1 with weight 2,\nan edge between node 3 and node 1 with weight 8,\nan edge between node 2 and node 5 with weight 4,\nan edge between node 2 and node 6 with weight 1,\nan edge between node 2 and node 8 with weight 9,\nan edge between node 7 and node 3 with weight 3,\nan edge between node 6 and node 3 with weight 2,\nan edge between node 3 and node 10 with weight 7,\nan edge between node 6 and node 4 with weight 9,\nan edge between node 4 and node 8 with weight 7,\nan edge between node 4 and node 10 with weight 7,\nan edge between node 8 and node 5 with weight 6,\nan edge between node 5 and node 10 with weight 3,\nan edge between node 7 and node 6 with weight 6,\nan edge between node 6 and node 11 with weight 7,\nan edge between node 6 and node 8 with weight 1,\nan edge between node 6 and node 9 with weight 4,\nQ: Give the shortest path from node 0 to node 5:"
            },
            {
                "from": "gpt",
                "value": "0->9->6->2->5."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph899",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge between node 4 and node 0 with weight 9,\nan edge between node 2 and node 0 with weight 1,\nan edge between node 0 and node 7 with weight 3,\nan edge between node 10 and node 1 with weight 7,\nan edge between node 2 and node 6 with weight 4,\nan edge between node 3 and node 17 with weight 6,\nan edge between node 3 and node 10 with weight 1,\nan edge between node 13 and node 3 with weight 4,\nan edge between node 3 and node 7 with weight 2,\nan edge between node 3 and node 14 with weight 8,\nan edge between node 9 and node 4 with weight 7,\nan edge between node 4 and node 7 with weight 4,\nan edge between node 15 and node 4 with weight 3,\nan edge between node 11 and node 5 with weight 1,\nan edge between node 8 and node 5 with weight 6,\nan edge between node 15 and node 5 with weight 2,\nan edge between node 8 and node 6 with weight 3,\nan edge between node 7 and node 8 with weight 10,\nan edge between node 13 and node 8 with weight 1,\nan edge between node 17 and node 10 with weight 1,\nan edge between node 16 and node 10 with weight 6,\nan edge between node 12 and node 10 with weight 7,\nan edge between node 10 and node 14 with weight 8,\nan edge between node 16 and node 11 with weight 8,\nan edge between node 15 and node 11 with weight 4,\nan edge between node 12 and node 17 with weight 2,\nan edge between node 17 and node 14 with weight 8,\nQ: Give the shortest path from node 2 to node 12:"
            },
            {
                "from": "gpt",
                "value": "2->0->7->3->10->17->12."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1196",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 4 and node 0 with weight 9,\nan edge between node 13 and node 0 with weight 3,\nan edge between node 1 and node 17 with weight 5,\nan edge between node 18 and node 1 with weight 8,\nan edge between node 10 and node 1 with weight 1,\nan edge between node 2 and node 15 with weight 5,\nan edge between node 9 and node 2 with weight 1,\nan edge between node 2 and node 3 with weight 10,\nan edge between node 2 and node 5 with weight 9,\nan edge between node 2 and node 13 with weight 3,\nan edge between node 3 and node 17 with weight 5,\nan edge between node 3 and node 12 with weight 1,\nan edge between node 3 and node 15 with weight 8,\nan edge between node 9 and node 3 with weight 7,\nan edge between node 5 and node 3 with weight 9,\nan edge between node 3 and node 16 with weight 8,\nan edge between node 4 and node 11 with weight 9,\nan edge between node 17 and node 4 with weight 7,\nan edge between node 4 and node 18 with weight 3,\nan edge between node 4 and node 15 with weight 7,\nan edge between node 4 and node 19 with weight 6,\nan edge between node 5 and node 11 with weight 8,\nan edge between node 5 and node 12 with weight 6,\nan edge between node 5 and node 13 with weight 10,\nan edge between node 19 and node 5 with weight 9,\nan edge between node 6 and node 15 with weight 9,\nan edge between node 19 and node 6 with weight 6,\nan edge between node 7 and node 17 with weight 7,\nan edge between node 7 and node 15 with weight 8,\nan edge between node 7 and node 19 with weight 1,\nan edge between node 14 and node 8 with weight 5,\nan edge between node 10 and node 8 with weight 10,\nan edge between node 9 and node 18 with weight 3,\nan edge between node 10 and node 9 with weight 1,\nan edge between node 11 and node 10 with weight 8,\nan edge between node 10 and node 12 with weight 3,\nan edge between node 16 and node 10 with weight 6,\nan edge between node 12 and node 11 with weight 6,\nan edge between node 15 and node 11 with weight 5,\nan edge between node 18 and node 12 with weight 2,\nan edge between node 15 and node 13 with weight 6,\nan edge between node 19 and node 14 with weight 9,\nan edge between node 17 and node 15 with weight 8,\nan edge between node 19 and node 16 with weight 3,\nan edge between node 18 and node 17 with weight 6,\nQ: Give the shortest path from node 2 to node 14:"
            },
            {
                "from": "gpt",
                "value": "2->9->10->8->14."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph566",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge between node 8 and node 0 with weight 8,\nan edge between node 11 and node 0 with weight 3,\nan edge between node 5 and node 0 with weight 1,\nan edge between node 8 and node 1 with weight 7,\nan edge between node 1 and node 12 with weight 2,\nan edge between node 9 and node 1 with weight 4,\nan edge between node 1 and node 7 with weight 3,\nan edge between node 10 and node 2 with weight 5,\nan edge between node 2 and node 12 with weight 5,\nan edge between node 14 and node 2 with weight 2,\nan edge between node 9 and node 2 with weight 7,\nan edge between node 8 and node 3 with weight 10,\nan edge between node 3 and node 12 with weight 10,\nan edge between node 3 and node 5 with weight 2,\nan edge between node 3 and node 9 with weight 6,\nan edge between node 3 and node 7 with weight 2,\nan edge between node 10 and node 4 with weight 4,\nan edge between node 8 and node 4 with weight 1,\nan edge between node 4 and node 6 with weight 8,\nan edge between node 13 and node 4 with weight 6,\nan edge between node 4 and node 7 with weight 2,\nan edge between node 5 and node 13 with weight 4,\nan edge between node 5 and node 7 with weight 8,\nan edge between node 7 and node 14 with weight 6,\nan edge between node 11 and node 8 with weight 2,\nan edge between node 11 and node 9 with weight 2,\nan edge between node 9 and node 14 with weight 4,\nan edge between node 13 and node 10 with weight 6,\nan edge between node 14 and node 12 with weight 2,\nan edge between node 13 and node 12 with weight 5,\nQ: Give the shortest path from node 6 to node 9:"
            },
            {
                "from": "gpt",
                "value": "6->4->8->11->9."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph104",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 7 and node 0 with weight 8,\nan edge between node 6 and node 0 with weight 9,\nan edge between node 5 and node 0 with weight 7,\nan edge between node 4 and node 0 with weight 6,\nan edge between node 10 and node 1 with weight 9,\nan edge between node 1 and node 5 with weight 4,\nan edge between node 1 and node 8 with weight 9,\nan edge between node 2 and node 6 with weight 7,\nan edge between node 10 and node 3 with weight 5,\nan edge between node 3 and node 5 with weight 5,\nan edge between node 4 and node 3 with weight 7,\nan edge between node 5 and node 4 with weight 3,\nan edge between node 5 and node 8 with weight 5,\nan edge between node 8 and node 6 with weight 9,\nan edge between node 7 and node 9 with weight 3,\nQ: Give the shortest path from node 9 to node 10:"
            },
            {
                "from": "gpt",
                "value": "9->7->0->5->3->10."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph364",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge between node 0 and node 5 with weight 10,\nan edge between node 9 and node 0 with weight 9,\nan edge between node 1 and node 10 with weight 5,\nan edge between node 1 and node 8 with weight 5,\nan edge between node 11 and node 1 with weight 9,\nan edge between node 6 and node 1 with weight 2,\nan edge between node 1 and node 5 with weight 9,\nan edge between node 3 and node 2 with weight 2,\nan edge between node 2 and node 11 with weight 8,\nan edge between node 10 and node 3 with weight 5,\nan edge between node 3 and node 13 with weight 6,\nan edge between node 5 and node 3 with weight 6,\nan edge between node 8 and node 4 with weight 9,\nan edge between node 4 and node 9 with weight 6,\nan edge between node 5 and node 12 with weight 9,\nan edge between node 8 and node 5 with weight 4,\nan edge between node 6 and node 12 with weight 5,\nan edge between node 6 and node 7 with weight 8,\nan edge between node 7 and node 12 with weight 10,\nan edge between node 7 and node 9 with weight 3,\nan edge between node 10 and node 8 with weight 1,\nan edge between node 8 and node 11 with weight 1,\nan edge between node 10 and node 9 with weight 10,\nan edge between node 12 and node 9 with weight 2,\nan edge between node 11 and node 12 with weight 4,\nan edge between node 12 and node 13 with weight 9,\nQ: Give the shortest path from node 13 to node 8:"
            },
            {
                "from": "gpt",
                "value": "13->3->10->8."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph646",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge between node 4 and node 0 with weight 10,\nan edge between node 0 and node 14 with weight 5,\nan edge between node 1 and node 4 with weight 8,\nan edge between node 1 and node 15 with weight 4,\nan edge between node 5 and node 2 with weight 9,\nan edge between node 2 and node 15 with weight 9,\nan edge between node 14 and node 2 with weight 7,\nan edge between node 9 and node 3 with weight 6,\nan edge between node 8 and node 3 with weight 3,\nan edge between node 5 and node 4 with weight 9,\nan edge between node 4 and node 14 with weight 1,\nan edge between node 5 and node 9 with weight 1,\nan edge between node 5 and node 14 with weight 10,\nan edge between node 6 and node 11 with weight 3,\nan edge between node 15 and node 6 with weight 6,\nan edge between node 7 and node 8 with weight 1,\nan edge between node 13 and node 7 with weight 7,\nan edge between node 11 and node 8 with weight 2,\nan edge between node 8 and node 14 with weight 2,\nan edge between node 12 and node 10 with weight 6,\nan edge between node 10 and node 15 with weight 8,\nan edge between node 11 and node 14 with weight 4,\nan edge between node 14 and node 13 with weight 6,\nQ: Give the shortest path from node 13 to node 5:"
            },
            {
                "from": "gpt",
                "value": "13->14->5."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph211",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge between node 0 and node 2 with weight 8,\nan edge between node 3 and node 0 with weight 10,\nan edge between node 6 and node 0 with weight 3,\nan edge between node 6 and node 1 with weight 2,\nan edge between node 1 and node 9 with weight 5,\nan edge between node 1 and node 11 with weight 2,\nan edge between node 2 and node 6 with weight 2,\nan edge between node 4 and node 2 with weight 3,\nan edge between node 2 and node 9 with weight 1,\nan edge between node 3 and node 6 with weight 1,\nan edge between node 7 and node 3 with weight 2,\nan edge between node 10 and node 4 with weight 2,\nan edge between node 11 and node 4 with weight 5,\nan edge between node 5 and node 7 with weight 7,\nan edge between node 7 and node 6 with weight 1,\nan edge between node 10 and node 7 with weight 1,\nan edge between node 7 and node 9 with weight 8,\nan edge between node 8 and node 10 with weight 8,\nan edge between node 11 and node 9 with weight 6,\nQ: Give the shortest path from node 1 to node 8:"
            },
            {
                "from": "gpt",
                "value": "1->6->7->10->8."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph639",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge between node 9 and node 0 with weight 9,\nan edge between node 13 and node 0 with weight 3,\nan edge between node 10 and node 1 with weight 1,\nan edge between node 1 and node 11 with weight 1,\nan edge between node 1 and node 14 with weight 7,\nan edge between node 4 and node 2 with weight 5,\nan edge between node 7 and node 2 with weight 4,\nan edge between node 2 and node 11 with weight 10,\nan edge between node 3 and node 5 with weight 6,\nan edge between node 14 and node 3 with weight 6,\nan edge between node 9 and node 3 with weight 10,\nan edge between node 4 and node 10 with weight 4,\nan edge between node 4 and node 7 with weight 3,\nan edge between node 5 and node 8 with weight 5,\nan edge between node 15 and node 5 with weight 10,\nan edge between node 10 and node 6 with weight 4,\nan edge between node 7 and node 6 with weight 8,\nan edge between node 13 and node 6 with weight 9,\nan edge between node 7 and node 10 with weight 5,\nan edge between node 14 and node 9 with weight 8,\nan edge between node 10 and node 12 with weight 10,\nan edge between node 14 and node 11 with weight 5,\nQ: Give the shortest path from node 7 to node 9:"
            },
            {
                "from": "gpt",
                "value": "7->10->1->11->14->9."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1189",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 6 and node 0 with weight 5,\nan edge between node 0 and node 8 with weight 10,\nan edge between node 18 and node 0 with weight 5,\nan edge between node 10 and node 1 with weight 8,\nan edge between node 1 and node 8 with weight 8,\nan edge between node 1 and node 12 with weight 10,\nan edge between node 16 and node 1 with weight 9,\nan edge between node 11 and node 2 with weight 9,\nan edge between node 6 and node 2 with weight 8,\nan edge between node 2 and node 10 with weight 4,\nan edge between node 2 and node 15 with weight 2,\nan edge between node 3 and node 4 with weight 6,\nan edge between node 3 and node 13 with weight 2,\nan edge between node 14 and node 3 with weight 6,\nan edge between node 19 and node 4 with weight 2,\nan edge between node 4 and node 6 with weight 7,\nan edge between node 8 and node 4 with weight 3,\nan edge between node 14 and node 4 with weight 10,\nan edge between node 18 and node 5 with weight 1,\nan edge between node 6 and node 7 with weight 9,\nan edge between node 19 and node 7 with weight 6,\nan edge between node 7 and node 13 with weight 6,\nan edge between node 8 and node 19 with weight 1,\nan edge between node 17 and node 8 with weight 10,\nan edge between node 10 and node 8 with weight 6,\nan edge between node 15 and node 8 with weight 10,\nan edge between node 19 and node 9 with weight 4,\nan edge between node 12 and node 9 with weight 9,\nan edge between node 16 and node 9 with weight 8,\nan edge between node 9 and node 18 with weight 2,\nan edge between node 10 and node 17 with weight 9,\nan edge between node 15 and node 10 with weight 8,\nan edge between node 12 and node 11 with weight 8,\nan edge between node 16 and node 12 with weight 7,\nan edge between node 19 and node 13 with weight 2,\nan edge between node 17 and node 13 with weight 9,\nan edge between node 15 and node 19 with weight 5,\nan edge between node 17 and node 15 with weight 5,\nan edge between node 16 and node 17 with weight 4,\nan edge between node 16 and node 18 with weight 8,\nan edge between node 17 and node 19 with weight 2,\nQ: Give the shortest path from node 3 to node 5:"
            },
            {
                "from": "gpt",
                "value": "3->13->19->9->18->5."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1077",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge between node 5 and node 0 with weight 8,\nan edge between node 15 and node 0 with weight 1,\nan edge between node 8 and node 0 with weight 5,\nan edge between node 14 and node 0 with weight 4,\nan edge between node 1 and node 10 with weight 1,\nan edge between node 1 and node 4 with weight 1,\nan edge between node 1 and node 15 with weight 4,\nan edge between node 9 and node 1 with weight 10,\nan edge between node 2 and node 16 with weight 3,\nan edge between node 14 and node 2 with weight 4,\nan edge between node 10 and node 3 with weight 3,\nan edge between node 6 and node 3 with weight 10,\nan edge between node 3 and node 17 with weight 8,\nan edge between node 3 and node 8 with weight 10,\nan edge between node 5 and node 4 with weight 2,\nan edge between node 15 and node 4 with weight 6,\nan edge between node 8 and node 4 with weight 10,\nan edge between node 4 and node 9 with weight 1,\nan edge between node 14 and node 4 with weight 3,\nan edge between node 8 and node 5 with weight 3,\nan edge between node 5 and node 9 with weight 7,\nan edge between node 9 and node 6 with weight 1,\nan edge between node 11 and node 7 with weight 3,\nan edge between node 7 and node 18 with weight 3,\nan edge between node 17 and node 8 with weight 9,\nan edge between node 13 and node 9 with weight 6,\nan edge between node 10 and node 12 with weight 8,\nan edge between node 10 and node 16 with weight 6,\nan edge between node 10 and node 14 with weight 7,\nan edge between node 11 and node 16 with weight 5,\nan edge between node 11 and node 14 with weight 4,\nan edge between node 12 and node 15 with weight 10,\nan edge between node 12 and node 17 with weight 7,\nan edge between node 12 and node 14 with weight 4,\nan edge between node 15 and node 14 with weight 9,\nQ: Give the shortest path from node 6 to node 18:"
            },
            {
                "from": "gpt",
                "value": "6->9->4->14->11->7->18."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1183",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 5 and node 0 with weight 9,\nan edge between node 14 and node 0 with weight 3,\nan edge between node 0 and node 17 with weight 5,\nan edge between node 19 and node 0 with weight 5,\nan edge between node 0 and node 18 with weight 10,\nan edge between node 8 and node 0 with weight 3,\nan edge between node 1 and node 0 with weight 9,\nan edge between node 6 and node 1 with weight 4,\nan edge between node 13 and node 1 with weight 5,\nan edge between node 1 and node 15 with weight 1,\nan edge between node 11 and node 1 with weight 4,\nan edge between node 19 and node 1 with weight 2,\nan edge between node 12 and node 1 with weight 6,\nan edge between node 2 and node 14 with weight 7,\nan edge between node 2 and node 17 with weight 4,\nan edge between node 19 and node 2 with weight 8,\nan edge between node 2 and node 18 with weight 5,\nan edge between node 3 and node 6 with weight 2,\nan edge between node 3 and node 15 with weight 9,\nan edge between node 10 and node 3 with weight 3,\nan edge between node 3 and node 14 with weight 9,\nan edge between node 3 and node 18 with weight 7,\nan edge between node 3 and node 12 with weight 8,\nan edge between node 15 and node 4 with weight 7,\nan edge between node 4 and node 7 with weight 6,\nan edge between node 5 and node 13 with weight 4,\nan edge between node 7 and node 5 with weight 7,\nan edge between node 19 and node 5 with weight 1,\nan edge between node 5 and node 18 with weight 4,\nan edge between node 5 and node 12 with weight 4,\nan edge between node 6 and node 10 with weight 1,\nan edge between node 6 and node 7 with weight 7,\nan edge between node 12 and node 6 with weight 4,\nan edge between node 16 and node 7 with weight 7,\nan edge between node 7 and node 13 with weight 3,\nan edge between node 7 and node 14 with weight 8,\nan edge between node 7 and node 9 with weight 9,\nan edge between node 18 and node 7 with weight 10,\nan edge between node 8 and node 16 with weight 5,\nan edge between node 13 and node 8 with weight 7,\nan edge between node 9 and node 12 with weight 7,\nan edge between node 10 and node 16 with weight 9,\nan edge between node 12 and node 10 with weight 7,\nan edge between node 11 and node 18 with weight 7,\nan edge between node 12 and node 16 with weight 6,\nan edge between node 12 and node 13 with weight 3,\nan edge between node 12 and node 15 with weight 4,\nan edge between node 14 and node 16 with weight 1,\nan edge between node 14 and node 15 with weight 2,\nan edge between node 18 and node 14 with weight 7,\nan edge between node 16 and node 19 with weight 9,\nan edge between node 18 and node 16 with weight 4,\nan edge between node 17 and node 19 with weight 4,\nan edge between node 18 and node 19 with weight 9,\nQ: Give the shortest path from node 4 to node 17:"
            },
            {
                "from": "gpt",
                "value": "4->15->1->19->17."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph269",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge between node 0 and node 2 with weight 8,\nan edge between node 0 and node 12 with weight 3,\nan edge between node 1 and node 10 with weight 9,\nan edge between node 1 and node 2 with weight 5,\nan edge between node 1 and node 11 with weight 6,\nan edge between node 8 and node 2 with weight 3,\nan edge between node 2 and node 12 with weight 10,\nan edge between node 7 and node 3 with weight 9,\nan edge between node 3 and node 5 with weight 8,\nan edge between node 4 and node 3 with weight 5,\nan edge between node 6 and node 4 with weight 2,\nan edge between node 7 and node 4 with weight 9,\nan edge between node 4 and node 9 with weight 9,\nan edge between node 9 and node 5 with weight 3,\nan edge between node 6 and node 7 with weight 5,\nan edge between node 7 and node 9 with weight 6,\nan edge between node 8 and node 7 with weight 4,\nQ: Give the shortest path from node 11 to node 5:"
            },
            {
                "from": "gpt",
                "value": "11->1->2->8->7->9->5."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph380",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge between node 0 and node 1 with weight 9,\nan edge between node 4 and node 1 with weight 2,\nan edge between node 1 and node 3 with weight 8,\nan edge between node 1 and node 9 with weight 1,\nan edge between node 2 and node 12 with weight 5,\nan edge between node 2 and node 7 with weight 10,\nan edge between node 9 and node 2 with weight 1,\nan edge between node 3 and node 10 with weight 4,\nan edge between node 3 and node 5 with weight 8,\nan edge between node 11 and node 4 with weight 9,\nan edge between node 4 and node 9 with weight 9,\nan edge between node 6 and node 8 with weight 5,\nan edge between node 7 and node 10 with weight 10,\nan edge between node 7 and node 11 with weight 9,\nan edge between node 7 and node 9 with weight 2,\nan edge between node 12 and node 8 with weight 9,\nan edge between node 9 and node 8 with weight 9,\nan edge between node 10 and node 9 with weight 7,\nan edge between node 11 and node 10 with weight 8,\nan edge between node 11 and node 13 with weight 2,\nQ: Give the shortest path from node 8 to node 1:"
            },
            {
                "from": "gpt",
                "value": "8->9->1."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph524",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge between node 12 and node 0 with weight 5,\nan edge between node 1 and node 0 with weight 1,\nan edge between node 1 and node 10 with weight 2,\nan edge between node 14 and node 1 with weight 8,\nan edge between node 2 and node 8 with weight 2,\nan edge between node 2 and node 12 with weight 1,\nan edge between node 2 and node 10 with weight 4,\nan edge between node 3 and node 2 with weight 1,\nan edge between node 2 and node 4 with weight 6,\nan edge between node 3 and node 8 with weight 4,\nan edge between node 3 and node 7 with weight 7,\nan edge between node 3 and node 6 with weight 5,\nan edge between node 3 and node 9 with weight 7,\nan edge between node 3 and node 4 with weight 6,\nan edge between node 4 and node 12 with weight 5,\nan edge between node 5 and node 10 with weight 3,\nan edge between node 6 and node 8 with weight 9,\nan edge between node 6 and node 14 with weight 8,\nan edge between node 7 and node 11 with weight 10,\nan edge between node 9 and node 7 with weight 4,\nan edge between node 10 and node 9 with weight 2,\nan edge between node 12 and node 13 with weight 4,\nQ: Give the shortest path from node 12 to node 14:"
            },
            {
                "from": "gpt",
                "value": "12->0->1->14."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph172",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge between node 10 and node 0 with weight 3,\nan edge between node 4 and node 0 with weight 2,\nan edge between node 0 and node 7 with weight 6,\nan edge between node 5 and node 1 with weight 4,\nan edge between node 1 and node 6 with weight 1,\nan edge between node 11 and node 1 with weight 2,\nan edge between node 1 and node 2 with weight 2,\nan edge between node 2 and node 4 with weight 5,\nan edge between node 2 and node 9 with weight 2,\nan edge between node 7 and node 3 with weight 10,\nan edge between node 9 and node 4 with weight 8,\nan edge between node 6 and node 10 with weight 4,\nan edge between node 9 and node 6 with weight 5,\nan edge between node 8 and node 11 with weight 7,\nQ: Give the shortest path from node 1 to node 3:"
            },
            {
                "from": "gpt",
                "value": "1->6->10->0->7->3."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph695",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge between node 0 and node 8 with weight 4,\nan edge between node 0 and node 13 with weight 7,\nan edge between node 0 and node 9 with weight 6,\nan edge between node 1 and node 15 with weight 6,\nan edge between node 12 and node 1 with weight 10,\nan edge between node 1 and node 2 with weight 7,\nan edge between node 14 and node 2 with weight 4,\nan edge between node 2 and node 3 with weight 10,\nan edge between node 2 and node 9 with weight 7,\nan edge between node 3 and node 6 with weight 5,\nan edge between node 7 and node 4 with weight 1,\nan edge between node 4 and node 13 with weight 7,\nan edge between node 8 and node 5 with weight 3,\nan edge between node 5 and node 6 with weight 8,\nan edge between node 5 and node 7 with weight 10,\nan edge between node 13 and node 5 with weight 4,\nan edge between node 7 and node 8 with weight 8,\nan edge between node 8 and node 10 with weight 5,\nan edge between node 10 and node 9 with weight 7,\nan edge between node 13 and node 9 with weight 8,\nan edge between node 15 and node 11 with weight 2,\nan edge between node 11 and node 13 with weight 6,\nan edge between node 12 and node 15 with weight 7,\nan edge between node 15 and node 13 with weight 10,\nQ: Give the shortest path from node 7 to node 14:"
            },
            {
                "from": "gpt",
                "value": "7->4->13->9->2->14."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph895",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge between node 0 and node 15 with weight 2,\nan edge between node 14 and node 0 with weight 1,\nan edge between node 0 and node 16 with weight 8,\nan edge between node 1 and node 8 with weight 4,\nan edge between node 1 and node 11 with weight 4,\nan edge between node 4 and node 1 with weight 7,\nan edge between node 12 and node 2 with weight 10,\nan edge between node 2 and node 3 with weight 2,\nan edge between node 5 and node 3 with weight 10,\nan edge between node 3 and node 11 with weight 8,\nan edge between node 12 and node 3 with weight 5,\nan edge between node 4 and node 11 with weight 9,\nan edge between node 15 and node 5 with weight 9,\nan edge between node 5 and node 11 with weight 8,\nan edge between node 14 and node 5 with weight 7,\nan edge between node 10 and node 5 with weight 9,\nan edge between node 16 and node 5 with weight 7,\nan edge between node 6 and node 15 with weight 1,\nan edge between node 11 and node 6 with weight 8,\nan edge between node 12 and node 7 with weight 8,\nan edge between node 13 and node 8 with weight 4,\nan edge between node 8 and node 15 with weight 10,\nan edge between node 13 and node 9 with weight 6,\nan edge between node 11 and node 9 with weight 5,\nan edge between node 9 and node 17 with weight 3,\nan edge between node 9 and node 16 with weight 10,\nan edge between node 12 and node 16 with weight 1,\nan edge between node 13 and node 17 with weight 10,\nan edge between node 14 and node 13 with weight 3,\nan edge between node 15 and node 17 with weight 9,\nan edge between node 17 and node 16 with weight 10,\nQ: Give the shortest path from node 0 to node 4:"
            },
            {
                "from": "gpt",
                "value": "0->14->13->8->1->4."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph277",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge between node 0 and node 5 with weight 3,\nan edge between node 0 and node 7 with weight 3,\nan edge between node 0 and node 2 with weight 4,\nan edge between node 7 and node 1 with weight 2,\nan edge between node 1 and node 4 with weight 9,\nan edge between node 12 and node 1 with weight 3,\nan edge between node 7 and node 2 with weight 7,\nan edge between node 6 and node 2 with weight 6,\nan edge between node 3 and node 2 with weight 3,\nan edge between node 3 and node 7 with weight 4,\nan edge between node 6 and node 3 with weight 1,\nan edge between node 12 and node 3 with weight 10,\nan edge between node 11 and node 5 with weight 6,\nan edge between node 8 and node 6 with weight 4,\nan edge between node 6 and node 10 with weight 7,\nan edge between node 8 and node 11 with weight 8,\nan edge between node 11 and node 9 with weight 4,\nQ: Give the shortest path from node 9 to node 4:"
            },
            {
                "from": "gpt",
                "value": "9->11->5->0->7->1->4."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph634",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge between node 6 and node 0 with weight 2,\nan edge between node 3 and node 0 with weight 6,\nan edge between node 0 and node 10 with weight 6,\nan edge between node 0 and node 14 with weight 7,\nan edge between node 1 and node 8 with weight 3,\nan edge between node 1 and node 12 with weight 5,\nan edge between node 2 and node 1 with weight 2,\nan edge between node 7 and node 1 with weight 7,\nan edge between node 1 and node 15 with weight 8,\nan edge between node 13 and node 1 with weight 7,\nan edge between node 6 and node 2 with weight 8,\nan edge between node 5 and node 2 with weight 10,\nan edge between node 7 and node 3 with weight 6,\nan edge between node 8 and node 4 with weight 8,\nan edge between node 4 and node 13 with weight 7,\nan edge between node 7 and node 5 with weight 8,\nan edge between node 8 and node 6 with weight 7,\nan edge between node 14 and node 6 with weight 6,\nan edge between node 6 and node 13 with weight 7,\nan edge between node 7 and node 9 with weight 9,\nan edge between node 7 and node 15 with weight 6,\nan edge between node 11 and node 7 with weight 5,\nan edge between node 8 and node 15 with weight 1,\nan edge between node 8 and node 13 with weight 9,\nan edge between node 9 and node 14 with weight 7,\nan edge between node 9 and node 13 with weight 7,\nan edge between node 12 and node 11 with weight 7,\nan edge between node 11 and node 15 with weight 2,\nQ: Give the shortest path from node 10 to node 12:"
            },
            {
                "from": "gpt",
                "value": "10->0->6->8->1->12."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph908",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge between node 7 and node 0 with weight 9,\nan edge between node 0 and node 14 with weight 3,\nan edge between node 1 and node 5 with weight 9,\nan edge between node 9 and node 1 with weight 4,\nan edge between node 1 and node 10 with weight 5,\nan edge between node 1 and node 7 with weight 3,\nan edge between node 1 and node 17 with weight 6,\nan edge between node 3 and node 1 with weight 2,\nan edge between node 8 and node 2 with weight 6,\nan edge between node 2 and node 5 with weight 4,\nan edge between node 2 and node 13 with weight 10,\nan edge between node 2 and node 7 with weight 9,\nan edge between node 2 and node 14 with weight 6,\nan edge between node 2 and node 17 with weight 8,\nan edge between node 5 and node 3 with weight 1,\nan edge between node 3 and node 9 with weight 5,\nan edge between node 3 and node 14 with weight 10,\nan edge between node 3 and node 12 with weight 1,\nan edge between node 4 and node 8 with weight 5,\nan edge between node 13 and node 4 with weight 3,\nan edge between node 5 and node 8 with weight 9,\nan edge between node 6 and node 5 with weight 7,\nan edge between node 6 and node 8 with weight 5,\nan edge between node 11 and node 6 with weight 8,\nan edge between node 7 and node 14 with weight 9,\nan edge between node 7 and node 15 with weight 3,\nan edge between node 8 and node 9 with weight 9,\nan edge between node 12 and node 8 with weight 4,\nan edge between node 14 and node 9 with weight 5,\nan edge between node 14 and node 10 with weight 6,\nan edge between node 10 and node 15 with weight 6,\nan edge between node 12 and node 10 with weight 5,\nan edge between node 16 and node 11 with weight 4,\nan edge between node 14 and node 12 with weight 8,\nan edge between node 13 and node 17 with weight 1,\nQ: Give the shortest path from node 15 to node 16:"
            },
            {
                "from": "gpt",
                "value": "15->7->1->3->5->6->11->16."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph807",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 2 and node 0 with weight 7,\nan edge between node 14 and node 0 with weight 9,\nan edge between node 15 and node 0 with weight 2,\nan edge between node 0 and node 4 with weight 8,\nan edge between node 1 and node 16 with weight 10,\nan edge between node 4 and node 1 with weight 3,\nan edge between node 1 and node 13 with weight 10,\nan edge between node 11 and node 2 with weight 4,\nan edge between node 3 and node 2 with weight 9,\nan edge between node 3 and node 16 with weight 9,\nan edge between node 11 and node 3 with weight 4,\nan edge between node 5 and node 3 with weight 9,\nan edge between node 9 and node 3 with weight 8,\nan edge between node 4 and node 3 with weight 2,\nan edge between node 9 and node 4 with weight 6,\nan edge between node 5 and node 8 with weight 9,\nan edge between node 12 and node 5 with weight 5,\nan edge between node 14 and node 5 with weight 3,\nan edge between node 5 and node 9 with weight 9,\nan edge between node 6 and node 11 with weight 2,\nan edge between node 14 and node 6 with weight 4,\nan edge between node 10 and node 6 with weight 2,\nan edge between node 7 and node 6 with weight 8,\nan edge between node 9 and node 6 with weight 3,\nan edge between node 16 and node 7 with weight 4,\nan edge between node 7 and node 15 with weight 4,\nan edge between node 13 and node 8 with weight 6,\nan edge between node 12 and node 9 with weight 2,\nan edge between node 10 and node 12 with weight 5,\nan edge between node 11 and node 12 with weight 5,\nan edge between node 15 and node 12 with weight 10,\nan edge between node 16 and node 13 with weight 7,\nan edge between node 16 and node 15 with weight 5,\nQ: Give the shortest path from node 13 to node 10:"
            },
            {
                "from": "gpt",
                "value": "13->16->7->6->10."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph70",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 8 and node 0 with weight 3,\nan edge between node 0 and node 9 with weight 7,\nan edge between node 1 and node 10 with weight 2,\nan edge between node 1 and node 5 with weight 6,\nan edge between node 2 and node 4 with weight 3,\nan edge between node 10 and node 2 with weight 10,\nan edge between node 3 and node 6 with weight 7,\nan edge between node 4 and node 8 with weight 6,\nan edge between node 5 and node 4 with weight 6,\nan edge between node 7 and node 5 with weight 9,\nan edge between node 6 and node 5 with weight 4,\nan edge between node 10 and node 6 with weight 10,\nQ: Give the shortest path from node 3 to node 9:"
            },
            {
                "from": "gpt",
                "value": "3->6->5->4->8->0->9."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph377",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge between node 0 and node 11 with weight 7,\nan edge between node 5 and node 0 with weight 9,\nan edge between node 8 and node 0 with weight 10,\nan edge between node 0 and node 13 with weight 10,\nan edge between node 2 and node 1 with weight 1,\nan edge between node 1 and node 4 with weight 10,\nan edge between node 9 and node 2 with weight 7,\nan edge between node 2 and node 11 with weight 7,\nan edge between node 13 and node 2 with weight 5,\nan edge between node 2 and node 4 with weight 10,\nan edge between node 8 and node 3 with weight 1,\nan edge between node 3 and node 6 with weight 5,\nan edge between node 13 and node 3 with weight 10,\nan edge between node 4 and node 13 with weight 4,\nan edge between node 10 and node 4 with weight 9,\nan edge between node 5 and node 9 with weight 5,\nan edge between node 5 and node 12 with weight 7,\nan edge between node 6 and node 5 with weight 1,\nan edge between node 13 and node 7 with weight 10,\nan edge between node 8 and node 9 with weight 10,\nan edge between node 13 and node 8 with weight 9,\nan edge between node 10 and node 9 with weight 9,\nan edge between node 10 and node 13 with weight 7,\nan edge between node 12 and node 11 with weight 3,\nQ: Give the shortest path from node 1 to node 6:"
            },
            {
                "from": "gpt",
                "value": "1->2->9->5->6."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1039",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge between node 0 and node 16 with weight 10,\nan edge between node 0 and node 11 with weight 2,\nan edge between node 0 and node 5 with weight 5,\nan edge between node 3 and node 1 with weight 10,\nan edge between node 1 and node 9 with weight 4,\nan edge between node 1 and node 4 with weight 6,\nan edge between node 7 and node 1 with weight 8,\nan edge between node 16 and node 2 with weight 5,\nan edge between node 3 and node 2 with weight 10,\nan edge between node 7 and node 2 with weight 6,\nan edge between node 15 and node 2 with weight 9,\nan edge between node 2 and node 18 with weight 5,\nan edge between node 2 and node 13 with weight 3,\nan edge between node 3 and node 9 with weight 7,\nan edge between node 18 and node 3 with weight 7,\nan edge between node 3 and node 8 with weight 5,\nan edge between node 5 and node 3 with weight 1,\nan edge between node 12 and node 4 with weight 7,\nan edge between node 10 and node 5 with weight 2,\nan edge between node 7 and node 5 with weight 10,\nan edge between node 5 and node 15 with weight 3,\nan edge between node 18 and node 5 with weight 10,\nan edge between node 6 and node 5 with weight 5,\nan edge between node 8 and node 5 with weight 1,\nan edge between node 6 and node 15 with weight 10,\nan edge between node 6 and node 18 with weight 6,\nan edge between node 6 and node 8 with weight 2,\nan edge between node 7 and node 15 with weight 7,\nan edge between node 7 and node 13 with weight 5,\nan edge between node 7 and node 17 with weight 8,\nan edge between node 8 and node 7 with weight 4,\nan edge between node 10 and node 8 with weight 4,\nan edge between node 17 and node 8 with weight 1,\nan edge between node 15 and node 10 with weight 5,\nan edge between node 12 and node 11 with weight 8,\nan edge between node 13 and node 11 with weight 5,\nan edge between node 12 and node 17 with weight 8,\nan edge between node 18 and node 14 with weight 4,\nan edge between node 17 and node 18 with weight 7,\nQ: Give the shortest path from node 14 to node 13:"
            },
            {
                "from": "gpt",
                "value": "14->18->2->13."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1110",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 2 and node 0 with weight 9,\nan edge between node 15 and node 1 with weight 9,\nan edge between node 1 and node 17 with weight 4,\nan edge between node 14 and node 1 with weight 1,\nan edge between node 1 and node 2 with weight 3,\nan edge between node 14 and node 2 with weight 9,\nan edge between node 2 and node 4 with weight 5,\nan edge between node 19 and node 3 with weight 9,\nan edge between node 7 and node 4 with weight 4,\nan edge between node 5 and node 10 with weight 6,\nan edge between node 16 and node 5 with weight 6,\nan edge between node 5 and node 12 with weight 2,\nan edge between node 5 and node 18 with weight 2,\nan edge between node 19 and node 5 with weight 8,\nan edge between node 5 and node 11 with weight 8,\nan edge between node 6 and node 16 with weight 2,\nan edge between node 6 and node 12 with weight 7,\nan edge between node 17 and node 6 with weight 2,\nan edge between node 6 and node 7 with weight 2,\nan edge between node 15 and node 7 with weight 5,\nan edge between node 18 and node 7 with weight 4,\nan edge between node 7 and node 11 with weight 10,\nan edge between node 13 and node 8 with weight 6,\nan edge between node 9 and node 8 with weight 10,\nan edge between node 10 and node 16 with weight 4,\nan edge between node 10 and node 17 with weight 1,\nan edge between node 10 and node 13 with weight 4,\nan edge between node 11 and node 17 with weight 2,\nan edge between node 16 and node 12 with weight 10,\nan edge between node 13 and node 12 with weight 8,\nan edge between node 14 and node 18 with weight 5,\nQ: Give the shortest path from node 8 to node 0:"
            },
            {
                "from": "gpt",
                "value": "8->13->10->17->1->2->0."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1048",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge between node 7 and node 0 with weight 3,\nan edge between node 11 and node 0 with weight 9,\nan edge between node 10 and node 0 with weight 6,\nan edge between node 12 and node 0 with weight 7,\nan edge between node 15 and node 1 with weight 6,\nan edge between node 4 and node 2 with weight 8,\nan edge between node 10 and node 2 with weight 9,\nan edge between node 17 and node 3 with weight 4,\nan edge between node 15 and node 3 with weight 3,\nan edge between node 7 and node 4 with weight 10,\nan edge between node 4 and node 9 with weight 6,\nan edge between node 4 and node 18 with weight 9,\nan edge between node 5 and node 6 with weight 10,\nan edge between node 5 and node 17 with weight 2,\nan edge between node 5 and node 14 with weight 9,\nan edge between node 10 and node 5 with weight 2,\nan edge between node 6 and node 9 with weight 3,\nan edge between node 6 and node 14 with weight 5,\nan edge between node 16 and node 6 with weight 3,\nan edge between node 6 and node 15 with weight 8,\nan edge between node 7 and node 9 with weight 4,\nan edge between node 18 and node 7 with weight 3,\nan edge between node 17 and node 7 with weight 4,\nan edge between node 7 and node 14 with weight 7,\nan edge between node 8 and node 7 with weight 2,\nan edge between node 13 and node 8 with weight 3,\nan edge between node 11 and node 8 with weight 4,\nan edge between node 9 and node 8 with weight 4,\nan edge between node 9 and node 13 with weight 3,\nan edge between node 9 and node 11 with weight 9,\nan edge between node 9 and node 18 with weight 2,\nan edge between node 17 and node 9 with weight 3,\nan edge between node 13 and node 10 with weight 9,\nan edge between node 10 and node 11 with weight 4,\nan edge between node 10 and node 16 with weight 3,\nan edge between node 11 and node 13 with weight 2,\nan edge between node 11 and node 17 with weight 9,\nan edge between node 11 and node 14 with weight 8,\nan edge between node 15 and node 11 with weight 10,\nan edge between node 18 and node 12 with weight 1,\nan edge between node 17 and node 12 with weight 7,\nan edge between node 12 and node 16 with weight 2,\nan edge between node 14 and node 13 with weight 4,\nan edge between node 15 and node 18 with weight 5,\nan edge between node 16 and node 15 with weight 4,\nan edge between node 16 and node 18 with weight 1,\nan edge between node 18 and node 17 with weight 2,\nQ: Give the shortest path from node 6 to node 2:"
            },
            {
                "from": "gpt",
                "value": "6->16->10->2."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph981",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge between node 7 and node 0 with weight 3,\nan edge between node 0 and node 11 with weight 6,\nan edge between node 8 and node 0 with weight 4,\nan edge between node 1 and node 18 with weight 4,\nan edge between node 16 and node 1 with weight 6,\nan edge between node 2 and node 5 with weight 4,\nan edge between node 2 and node 15 with weight 5,\nan edge between node 17 and node 3 with weight 5,\nan edge between node 13 and node 3 with weight 2,\nan edge between node 15 and node 3 with weight 5,\nan edge between node 12 and node 3 with weight 4,\nan edge between node 11 and node 4 with weight 9,\nan edge between node 9 and node 4 with weight 1,\nan edge between node 5 and node 13 with weight 9,\nan edge between node 5 and node 10 with weight 6,\nan edge between node 18 and node 6 with weight 3,\nan edge between node 6 and node 17 with weight 6,\nan edge between node 16 and node 6 with weight 7,\nan edge between node 18 and node 8 with weight 6,\nan edge between node 8 and node 13 with weight 9,\nan edge between node 8 and node 11 with weight 10,\nan edge between node 9 and node 11 with weight 10,\nan edge between node 10 and node 17 with weight 5,\nan edge between node 10 and node 15 with weight 3,\nan edge between node 12 and node 10 with weight 10,\nan edge between node 13 and node 18 with weight 8,\nan edge between node 14 and node 18 with weight 7,\nan edge between node 15 and node 14 with weight 8,\nan edge between node 15 and node 16 with weight 10,\nan edge between node 17 and node 16 with weight 8,\nQ: Give the shortest path from node 2 to node 9:"
            },
            {
                "from": "gpt",
                "value": "2->15->3->13->8->11->9."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph924",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge between node 4 and node 0 with weight 1,\nan edge between node 0 and node 16 with weight 2,\nan edge between node 5 and node 0 with weight 2,\nan edge between node 1 and node 7 with weight 4,\nan edge between node 3 and node 1 with weight 10,\nan edge between node 6 and node 1 with weight 2,\nan edge between node 17 and node 1 with weight 6,\nan edge between node 16 and node 1 with weight 10,\nan edge between node 2 and node 7 with weight 1,\nan edge between node 8 and node 2 with weight 8,\nan edge between node 2 and node 6 with weight 5,\nan edge between node 17 and node 2 with weight 7,\nan edge between node 9 and node 2 with weight 1,\nan edge between node 3 and node 14 with weight 5,\nan edge between node 3 and node 7 with weight 5,\nan edge between node 11 and node 3 with weight 5,\nan edge between node 6 and node 3 with weight 8,\nan edge between node 9 and node 3 with weight 3,\nan edge between node 4 and node 7 with weight 7,\nan edge between node 9 and node 4 with weight 9,\nan edge between node 4 and node 5 with weight 2,\nan edge between node 15 and node 5 with weight 2,\nan edge between node 6 and node 7 with weight 8,\nan edge between node 9 and node 6 with weight 10,\nan edge between node 11 and node 7 with weight 3,\nan edge between node 10 and node 7 with weight 9,\nan edge between node 9 and node 7 with weight 2,\nan edge between node 17 and node 8 with weight 6,\nan edge between node 10 and node 9 with weight 9,\nan edge between node 16 and node 9 with weight 2,\nan edge between node 9 and node 13 with weight 8,\nan edge between node 10 and node 16 with weight 4,\nan edge between node 11 and node 12 with weight 8,\nan edge between node 16 and node 11 with weight 5,\nan edge between node 12 and node 16 with weight 7,\nan edge between node 13 and node 12 with weight 1,\nan edge between node 13 and node 16 with weight 6,\nan edge between node 16 and node 14 with weight 4,\nQ: Give the shortest path from node 15 to node 17:"
            },
            {
                "from": "gpt",
                "value": "15->5->0->16->9->2->17."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph711",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge between node 0 and node 5 with weight 8,\nan edge between node 1 and node 2 with weight 9,\nan edge between node 9 and node 1 with weight 9,\nan edge between node 1 and node 3 with weight 7,\nan edge between node 4 and node 1 with weight 8,\nan edge between node 10 and node 1 with weight 6,\nan edge between node 2 and node 15 with weight 9,\nan edge between node 2 and node 3 with weight 7,\nan edge between node 10 and node 2 with weight 9,\nan edge between node 3 and node 12 with weight 10,\nan edge between node 3 and node 6 with weight 2,\nan edge between node 15 and node 3 with weight 4,\nan edge between node 4 and node 12 with weight 7,\nan edge between node 11 and node 4 with weight 6,\nan edge between node 4 and node 15 with weight 1,\nan edge between node 12 and node 5 with weight 3,\nan edge between node 12 and node 6 with weight 5,\nan edge between node 6 and node 11 with weight 1,\nan edge between node 15 and node 7 with weight 2,\nan edge between node 13 and node 8 with weight 8,\nan edge between node 8 and node 12 with weight 4,\nan edge between node 11 and node 8 with weight 5,\nan edge between node 9 and node 14 with weight 3,\nan edge between node 10 and node 9 with weight 7,\nan edge between node 10 and node 14 with weight 6,\nan edge between node 13 and node 11 with weight 3,\nan edge between node 12 and node 11 with weight 2,\nan edge between node 12 and node 13 with weight 1,\nan edge between node 14 and node 12 with weight 7,\nQ: Give the shortest path from node 0 to node 7:"
            },
            {
                "from": "gpt",
                "value": "0->5->12->4->15->7."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph749",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 11 and node 0 with weight 8,\nan edge between node 0 and node 15 with weight 6,\nan edge between node 0 and node 4 with weight 1,\nan edge between node 0 and node 6 with weight 6,\nan edge between node 3 and node 0 with weight 2,\nan edge between node 1 and node 10 with weight 7,\nan edge between node 2 and node 8 with weight 8,\nan edge between node 7 and node 2 with weight 5,\nan edge between node 2 and node 14 with weight 2,\nan edge between node 3 and node 11 with weight 4,\nan edge between node 14 and node 3 with weight 7,\nan edge between node 4 and node 9 with weight 9,\nan edge between node 4 and node 14 with weight 3,\nan edge between node 5 and node 4 with weight 8,\nan edge between node 12 and node 5 with weight 8,\nan edge between node 5 and node 9 with weight 1,\nan edge between node 7 and node 6 with weight 4,\nan edge between node 9 and node 6 with weight 3,\nan edge between node 10 and node 13 with weight 2,\nan edge between node 14 and node 10 with weight 4,\nan edge between node 12 and node 11 with weight 1,\nan edge between node 11 and node 13 with weight 10,\nan edge between node 12 and node 16 with weight 1,\nQ: Give the shortest path from node 8 to node 16:"
            },
            {
                "from": "gpt",
                "value": "8->2->14->4->0->3->11->12->16."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1168",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 15 and node 0 with weight 2,\nan edge between node 0 and node 6 with weight 10,\nan edge between node 13 and node 0 with weight 6,\nan edge between node 1 and node 0 with weight 5,\nan edge between node 0 and node 19 with weight 9,\nan edge between node 5 and node 0 with weight 3,\nan edge between node 15 and node 1 with weight 7,\nan edge between node 1 and node 2 with weight 6,\nan edge between node 1 and node 9 with weight 7,\nan edge between node 1 and node 14 with weight 8,\nan edge between node 1 and node 7 with weight 6,\nan edge between node 1 and node 4 with weight 2,\nan edge between node 12 and node 1 with weight 2,\nan edge between node 6 and node 2 with weight 4,\nan edge between node 13 and node 2 with weight 5,\nan edge between node 18 and node 2 with weight 7,\nan edge between node 2 and node 7 with weight 6,\nan edge between node 4 and node 2 with weight 9,\nan edge between node 2 and node 5 with weight 7,\nan edge between node 6 and node 3 with weight 10,\nan edge between node 13 and node 3 with weight 1,\nan edge between node 18 and node 3 with weight 4,\nan edge between node 3 and node 16 with weight 1,\nan edge between node 11 and node 3 with weight 7,\nan edge between node 19 and node 3 with weight 9,\nan edge between node 7 and node 3 with weight 1,\nan edge between node 4 and node 3 with weight 9,\nan edge between node 12 and node 3 with weight 2,\nan edge between node 8 and node 4 with weight 2,\nan edge between node 15 and node 4 with weight 7,\nan edge between node 10 and node 4 with weight 7,\nan edge between node 4 and node 14 with weight 9,\nan edge between node 4 and node 7 with weight 6,\nan edge between node 5 and node 9 with weight 5,\nan edge between node 16 and node 5 with weight 3,\nan edge between node 5 and node 14 with weight 8,\nan edge between node 17 and node 6 with weight 9,\nan edge between node 13 and node 6 with weight 9,\nan edge between node 6 and node 7 with weight 2,\nan edge between node 12 and node 6 with weight 5,\nan edge between node 7 and node 15 with weight 1,\nan edge between node 17 and node 7 with weight 4,\nan edge between node 11 and node 7 with weight 5,\nan edge between node 15 and node 8 with weight 6,\nan edge between node 16 and node 8 with weight 7,\nan edge between node 16 and node 9 with weight 6,\nan edge between node 9 and node 11 with weight 4,\nan edge between node 10 and node 17 with weight 7,\nan edge between node 13 and node 10 with weight 10,\nan edge between node 10 and node 18 with weight 6,\nan edge between node 14 and node 10 with weight 2,\nan edge between node 12 and node 10 with weight 8,\nan edge between node 17 and node 11 with weight 10,\nan edge between node 16 and node 11 with weight 4,\nan edge between node 11 and node 19 with weight 9,\nan edge between node 12 and node 15 with weight 10,\nan edge between node 12 and node 16 with weight 8,\nan edge between node 13 and node 19 with weight 9,\nan edge between node 15 and node 14 with weight 3,\nan edge between node 15 and node 17 with weight 9,\nan edge between node 15 and node 18 with weight 5,\nan edge between node 16 and node 18 with weight 8,\nan edge between node 19 and node 16 with weight 4,\nQ: Give the shortest path from node 13 to node 4:"
            },
            {
                "from": "gpt",
                "value": "13->3->12->1->4."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph834",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 0 and node 1 with weight 5,\nan edge between node 0 and node 8 with weight 5,\nan edge between node 0 and node 12 with weight 5,\nan edge between node 1 and node 15 with weight 3,\nan edge between node 1 and node 14 with weight 8,\nan edge between node 1 and node 10 with weight 8,\nan edge between node 1 and node 16 with weight 5,\nan edge between node 1 and node 2 with weight 7,\nan edge between node 14 and node 2 with weight 8,\nan edge between node 2 and node 6 with weight 4,\nan edge between node 3 and node 15 with weight 6,\nan edge between node 9 and node 3 with weight 8,\nan edge between node 4 and node 3 with weight 7,\nan edge between node 8 and node 4 with weight 9,\nan edge between node 13 and node 4 with weight 9,\nan edge between node 4 and node 9 with weight 5,\nan edge between node 11 and node 4 with weight 5,\nan edge between node 5 and node 15 with weight 3,\nan edge between node 5 and node 8 with weight 1,\nan edge between node 5 and node 10 with weight 3,\nan edge between node 5 and node 12 with weight 3,\nan edge between node 8 and node 6 with weight 2,\nan edge between node 14 and node 7 with weight 7,\nan edge between node 7 and node 8 with weight 10,\nan edge between node 7 and node 9 with weight 3,\nan edge between node 11 and node 7 with weight 8,\nan edge between node 13 and node 8 with weight 8,\nan edge between node 8 and node 12 with weight 6,\nan edge between node 14 and node 10 with weight 4,\nan edge between node 13 and node 10 with weight 5,\nan edge between node 10 and node 12 with weight 4,\nan edge between node 11 and node 14 with weight 3,\nan edge between node 16 and node 11 with weight 10,\nan edge between node 12 and node 16 with weight 7,\nan edge between node 13 and node 14 with weight 7,\nan edge between node 14 and node 16 with weight 3,\nQ: Give the shortest path from node 0 to node 7:"
            },
            {
                "from": "gpt",
                "value": "0->8->7."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph67",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 8 and node 0 with weight 3,\nan edge between node 0 and node 5 with weight 6,\nan edge between node 10 and node 0 with weight 8,\nan edge between node 1 and node 8 with weight 5,\nan edge between node 3 and node 2 with weight 4,\nan edge between node 2 and node 10 with weight 1,\nan edge between node 3 and node 6 with weight 6,\nan edge between node 3 and node 10 with weight 8,\nan edge between node 4 and node 9 with weight 10,\nan edge between node 4 and node 6 with weight 2,\nan edge between node 9 and node 6 with weight 6,\nan edge between node 6 and node 8 with weight 10,\nan edge between node 10 and node 6 with weight 5,\nan edge between node 10 and node 7 with weight 9,\nQ: Give the shortest path from node 5 to node 6:"
            },
            {
                "from": "gpt",
                "value": "5->0->8->6."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1123",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 19 and node 0 with weight 7,\nan edge between node 16 and node 0 with weight 4,\nan edge between node 0 and node 18 with weight 8,\nan edge between node 14 and node 0 with weight 9,\nan edge between node 1 and node 0 with weight 10,\nan edge between node 3 and node 1 with weight 9,\nan edge between node 1 and node 19 with weight 2,\nan edge between node 1 and node 6 with weight 5,\nan edge between node 17 and node 2 with weight 6,\nan edge between node 2 and node 5 with weight 1,\nan edge between node 13 and node 3 with weight 6,\nan edge between node 3 and node 15 with weight 8,\nan edge between node 3 and node 19 with weight 6,\nan edge between node 3 and node 11 with weight 10,\nan edge between node 3 and node 12 with weight 3,\nan edge between node 4 and node 8 with weight 4,\nan edge between node 19 and node 4 with weight 4,\nan edge between node 16 and node 4 with weight 3,\nan edge between node 4 and node 11 with weight 4,\nan edge between node 9 and node 4 with weight 2,\nan edge between node 5 and node 17 with weight 3,\nan edge between node 18 and node 5 with weight 7,\nan edge between node 8 and node 6 with weight 8,\nan edge between node 13 and node 6 with weight 3,\nan edge between node 6 and node 15 with weight 5,\nan edge between node 6 and node 16 with weight 5,\nan edge between node 6 and node 10 with weight 3,\nan edge between node 7 and node 16 with weight 10,\nan edge between node 14 and node 7 with weight 10,\nan edge between node 8 and node 15 with weight 9,\nan edge between node 8 and node 16 with weight 2,\nan edge between node 11 and node 8 with weight 10,\nan edge between node 9 and node 8 with weight 4,\nan edge between node 9 and node 10 with weight 7,\nan edge between node 10 and node 17 with weight 9,\nan edge between node 17 and node 11 with weight 7,\nan edge between node 11 and node 15 with weight 8,\nan edge between node 12 and node 13 with weight 7,\nan edge between node 16 and node 12 with weight 1,\nan edge between node 12 and node 14 with weight 4,\nan edge between node 16 and node 13 with weight 8,\nan edge between node 15 and node 19 with weight 1,\nan edge between node 15 and node 18 with weight 2,\nQ: Give the shortest path from node 7 to node 2:"
            },
            {
                "from": "gpt",
                "value": "7->16->4->19->15->18->5->2."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph92",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 5 and node 0 with weight 2,\nan edge between node 0 and node 3 with weight 3,\nan edge between node 1 and node 0 with weight 1,\nan edge between node 1 and node 10 with weight 8,\nan edge between node 1 and node 9 with weight 3,\nan edge between node 1 and node 4 with weight 10,\nan edge between node 2 and node 9 with weight 1,\nan edge between node 6 and node 3 with weight 9,\nan edge between node 4 and node 8 with weight 9,\nan edge between node 7 and node 4 with weight 7,\nan edge between node 5 and node 6 with weight 5,\nan edge between node 5 and node 10 with weight 7,\nan edge between node 10 and node 6 with weight 4,\nan edge between node 6 and node 9 with weight 2,\nQ: Give the shortest path from node 10 to node 2:"
            },
            {
                "from": "gpt",
                "value": "10->6->9->2."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph161",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge between node 3 and node 0 with weight 4,\nan edge between node 0 and node 8 with weight 10,\nan edge between node 0 and node 9 with weight 4,\nan edge between node 7 and node 1 with weight 8,\nan edge between node 2 and node 1 with weight 1,\nan edge between node 8 and node 2 with weight 3,\nan edge between node 8 and node 3 with weight 10,\nan edge between node 9 and node 4 with weight 9,\nan edge between node 5 and node 7 with weight 10,\nan edge between node 11 and node 5 with weight 9,\nan edge between node 5 and node 6 with weight 4,\nan edge between node 8 and node 7 with weight 9,\nan edge between node 7 and node 11 with weight 10,\nan edge between node 8 and node 9 with weight 3,\nan edge between node 10 and node 9 with weight 7,\nQ: Give the shortest path from node 6 to node 4:"
            },
            {
                "from": "gpt",
                "value": "6->5->7->8->9->4."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph117",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 2 and node 0 with weight 6,\nan edge between node 0 and node 3 with weight 8,\nan edge between node 1 and node 6 with weight 7,\nan edge between node 1 and node 10 with weight 2,\nan edge between node 8 and node 1 with weight 6,\nan edge between node 9 and node 2 with weight 1,\nan edge between node 2 and node 7 with weight 9,\nan edge between node 4 and node 3 with weight 5,\nan edge between node 4 and node 7 with weight 6,\nan edge between node 5 and node 7 with weight 4,\nan edge between node 7 and node 6 with weight 3,\nan edge between node 7 and node 9 with weight 7,\nan edge between node 7 and node 10 with weight 1,\nQ: Give the shortest path from node 8 to node 3:"
            },
            {
                "from": "gpt",
                "value": "8->1->10->7->4->3."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph169",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge between node 0 and node 9 with weight 4,\nan edge between node 8 and node 0 with weight 5,\nan edge between node 3 and node 0 with weight 1,\nan edge between node 5 and node 1 with weight 8,\nan edge between node 6 and node 1 with weight 7,\nan edge between node 2 and node 7 with weight 9,\nan edge between node 8 and node 3 with weight 10,\nan edge between node 3 and node 11 with weight 7,\nan edge between node 4 and node 9 with weight 8,\nan edge between node 10 and node 4 with weight 7,\nan edge between node 8 and node 6 with weight 5,\nan edge between node 8 and node 7 with weight 4,\nan edge between node 11 and node 7 with weight 8,\nan edge between node 8 and node 10 with weight 7,\nan edge between node 9 and node 11 with weight 8,\nan edge between node 10 and node 11 with weight 5,\nQ: Give the shortest path from node 9 to node 5:"
            },
            {
                "from": "gpt",
                "value": "9->0->8->6->1->5."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph89",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 0 and node 8 with weight 8,\nan edge between node 6 and node 0 with weight 2,\nan edge between node 8 and node 1 with weight 3,\nan edge between node 1 and node 5 with weight 2,\nan edge between node 8 and node 2 with weight 8,\nan edge between node 2 and node 10 with weight 4,\nan edge between node 3 and node 2 with weight 4,\nan edge between node 3 and node 7 with weight 4,\nan edge between node 3 and node 6 with weight 5,\nan edge between node 4 and node 3 with weight 7,\nan edge between node 4 and node 7 with weight 7,\nan edge between node 5 and node 6 with weight 3,\nan edge between node 7 and node 10 with weight 6,\nan edge between node 9 and node 10 with weight 7,\nQ: Give the shortest path from node 9 to node 3:"
            },
            {
                "from": "gpt",
                "value": "9->10->2->3."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph271",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge between node 0 and node 3 with weight 1,\nan edge between node 0 and node 4 with weight 5,\nan edge between node 5 and node 0 with weight 2,\nan edge between node 1 and node 3 with weight 3,\nan edge between node 12 and node 1 with weight 10,\nan edge between node 2 and node 8 with weight 1,\nan edge between node 2 and node 3 with weight 4,\nan edge between node 2 and node 5 with weight 8,\nan edge between node 3 and node 7 with weight 1,\nan edge between node 4 and node 11 with weight 9,\nan edge between node 6 and node 4 with weight 10,\nan edge between node 4 and node 12 with weight 10,\nan edge between node 11 and node 6 with weight 10,\nan edge between node 11 and node 7 with weight 4,\nan edge between node 8 and node 9 with weight 2,\nan edge between node 10 and node 9 with weight 1,\nQ: Give the shortest path from node 4 to node 10:"
            },
            {
                "from": "gpt",
                "value": "4->0->3->2->8->9->10."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph78",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 5 and node 0 with weight 10,\nan edge between node 8 and node 0 with weight 8,\nan edge between node 9 and node 0 with weight 1,\nan edge between node 1 and node 7 with weight 2,\nan edge between node 2 and node 1 with weight 5,\nan edge between node 4 and node 1 with weight 9,\nan edge between node 7 and node 2 with weight 3,\nan edge between node 3 and node 10 with weight 8,\nan edge between node 3 and node 5 with weight 3,\nan edge between node 8 and node 3 with weight 4,\nan edge between node 10 and node 4 with weight 1,\nan edge between node 4 and node 6 with weight 7,\nan edge between node 5 and node 4 with weight 7,\nan edge between node 5 and node 8 with weight 10,\nan edge between node 6 and node 8 with weight 1,\nan edge between node 10 and node 7 with weight 4,\nan edge between node 9 and node 8 with weight 7,\nQ: Give the shortest path from node 9 to node 7:"
            },
            {
                "from": "gpt",
                "value": "9->8->6->4->10->7."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph31",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 0 and node 3 with weight 1,\nan edge between node 0 and node 7 with weight 5,\nan edge between node 1 and node 9 with weight 10,\nan edge between node 2 and node 8 with weight 5,\nan edge between node 2 and node 6 with weight 8,\nan edge between node 2 and node 4 with weight 4,\nan edge between node 10 and node 3 with weight 10,\nan edge between node 9 and node 3 with weight 5,\nan edge between node 3 and node 5 with weight 7,\nan edge between node 4 and node 10 with weight 7,\nan edge between node 9 and node 4 with weight 5,\nan edge between node 5 and node 8 with weight 4,\nan edge between node 10 and node 5 with weight 7,\nan edge between node 5 and node 9 with weight 7,\nan edge between node 5 and node 7 with weight 4,\nan edge between node 9 and node 6 with weight 2,\nan edge between node 10 and node 9 with weight 8,\nQ: Give the shortest path from node 5 to node 4:"
            },
            {
                "from": "gpt",
                "value": "5->9->4."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph581",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge between node 5 and node 0 with weight 4,\nan edge between node 0 and node 13 with weight 7,\nan edge between node 0 and node 2 with weight 7,\nan edge between node 1 and node 10 with weight 7,\nan edge between node 13 and node 2 with weight 10,\nan edge between node 6 and node 2 with weight 9,\nan edge between node 14 and node 3 with weight 8,\nan edge between node 3 and node 5 with weight 1,\nan edge between node 3 and node 13 with weight 1,\nan edge between node 12 and node 3 with weight 3,\nan edge between node 3 and node 4 with weight 1,\nan edge between node 4 and node 14 with weight 1,\nan edge between node 11 and node 4 with weight 5,\nan edge between node 10 and node 4 with weight 8,\nan edge between node 4 and node 13 with weight 5,\nan edge between node 12 and node 4 with weight 5,\nan edge between node 14 and node 5 with weight 5,\nan edge between node 7 and node 5 with weight 1,\nan edge between node 9 and node 6 with weight 2,\nan edge between node 6 and node 8 with weight 5,\nan edge between node 7 and node 12 with weight 2,\nan edge between node 7 and node 9 with weight 7,\nan edge between node 10 and node 11 with weight 1,\nan edge between node 14 and node 11 with weight 6,\nan edge between node 11 and node 12 with weight 6,\nan edge between node 12 and node 14 with weight 6,\nQ: Give the shortest path from node 8 to node 14:"
            },
            {
                "from": "gpt",
                "value": "8->6->9->7->5->3->4->14."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1011",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge between node 2 and node 0 with weight 4,\nan edge between node 0 and node 8 with weight 3,\nan edge between node 17 and node 0 with weight 5,\nan edge between node 7 and node 0 with weight 4,\nan edge between node 0 and node 9 with weight 8,\nan edge between node 14 and node 1 with weight 8,\nan edge between node 1 and node 3 with weight 1,\nan edge between node 11 and node 1 with weight 1,\nan edge between node 9 and node 2 with weight 5,\nan edge between node 12 and node 3 with weight 5,\nan edge between node 4 and node 7 with weight 1,\nan edge between node 9 and node 4 with weight 10,\nan edge between node 5 and node 13 with weight 2,\nan edge between node 8 and node 5 with weight 6,\nan edge between node 5 and node 7 with weight 8,\nan edge between node 6 and node 16 with weight 7,\nan edge between node 7 and node 6 with weight 7,\nan edge between node 6 and node 15 with weight 3,\nan edge between node 7 and node 8 with weight 9,\nan edge between node 7 and node 16 with weight 2,\nan edge between node 7 and node 15 with weight 6,\nan edge between node 12 and node 8 with weight 4,\nan edge between node 8 and node 14 with weight 7,\nan edge between node 10 and node 8 with weight 1,\nan edge between node 13 and node 9 with weight 9,\nan edge between node 9 and node 18 with weight 1,\nan edge between node 9 and node 15 with weight 2,\nan edge between node 10 and node 13 with weight 4,\nan edge between node 14 and node 10 with weight 3,\nan edge between node 13 and node 11 with weight 8,\nan edge between node 13 and node 15 with weight 6,\nan edge between node 14 and node 18 with weight 9,\nan edge between node 16 and node 17 with weight 2,\nan edge between node 18 and node 16 with weight 10,\nQ: Give the shortest path from node 3 to node 6:"
            },
            {
                "from": "gpt",
                "value": "3->1->11->13->15->6."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph103",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 3 and node 0 with weight 2,\nan edge between node 0 and node 9 with weight 1,\nan edge between node 0 and node 10 with weight 2,\nan edge between node 1 and node 2 with weight 9,\nan edge between node 5 and node 1 with weight 1,\nan edge between node 1 and node 8 with weight 5,\nan edge between node 5 and node 2 with weight 1,\nan edge between node 3 and node 10 with weight 3,\nan edge between node 4 and node 6 with weight 2,\nan edge between node 8 and node 4 with weight 3,\nan edge between node 7 and node 5 with weight 3,\nan edge between node 6 and node 5 with weight 8,\nan edge between node 10 and node 6 with weight 3,\nan edge between node 7 and node 9 with weight 9,\nan edge between node 8 and node 7 with weight 1,\nan edge between node 8 and node 9 with weight 1,\nan edge between node 8 and node 10 with weight 7,\nQ: Give the shortest path from node 3 to node 2:"
            },
            {
                "from": "gpt",
                "value": "3->0->9->8->7->5->2."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1113",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 4 and node 0 with weight 5,\nan edge between node 10 and node 1 with weight 6,\nan edge between node 5 and node 1 with weight 1,\nan edge between node 1 and node 19 with weight 8,\nan edge between node 8 and node 1 with weight 3,\nan edge between node 2 and node 19 with weight 9,\nan edge between node 15 and node 3 with weight 4,\nan edge between node 3 and node 13 with weight 6,\nan edge between node 17 and node 4 with weight 9,\nan edge between node 10 and node 4 with weight 10,\nan edge between node 4 and node 11 with weight 2,\nan edge between node 4 and node 6 with weight 10,\nan edge between node 5 and node 8 with weight 7,\nan edge between node 18 and node 5 with weight 7,\nan edge between node 6 and node 16 with weight 2,\nan edge between node 9 and node 6 with weight 3,\nan edge between node 6 and node 18 with weight 1,\nan edge between node 7 and node 9 with weight 10,\nan edge between node 8 and node 11 with weight 9,\nan edge between node 9 and node 8 with weight 2,\nan edge between node 12 and node 9 with weight 3,\nan edge between node 14 and node 9 with weight 9,\nan edge between node 15 and node 11 with weight 9,\nan edge between node 11 and node 17 with weight 4,\nan edge between node 11 and node 13 with weight 4,\nan edge between node 19 and node 14 with weight 8,\nan edge between node 14 and node 18 with weight 10,\nan edge between node 16 and node 17 with weight 2,\nQ: Give the shortest path from node 14 to node 3:"
            },
            {
                "from": "gpt",
                "value": "14->18->6->16->17->11->13->3."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph428",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge between node 10 and node 0 with weight 10,\nan edge between node 0 and node 13 with weight 1,\nan edge between node 8 and node 0 with weight 8,\nan edge between node 0 and node 9 with weight 8,\nan edge between node 0 and node 6 with weight 5,\nan edge between node 7 and node 0 with weight 10,\nan edge between node 1 and node 4 with weight 8,\nan edge between node 1 and node 5 with weight 4,\nan edge between node 3 and node 2 with weight 6,\nan edge between node 13 and node 3 with weight 9,\nan edge between node 3 and node 4 with weight 10,\nan edge between node 3 and node 8 with weight 6,\nan edge between node 3 and node 7 with weight 1,\nan edge between node 12 and node 3 with weight 2,\nan edge between node 4 and node 11 with weight 1,\nan edge between node 4 and node 6 with weight 5,\nan edge between node 7 and node 4 with weight 4,\nan edge between node 12 and node 4 with weight 5,\nan edge between node 5 and node 7 with weight 5,\nan edge between node 6 and node 7 with weight 5,\nan edge between node 6 and node 12 with weight 5,\nan edge between node 7 and node 13 with weight 6,\nan edge between node 11 and node 7 with weight 7,\nan edge between node 9 and node 7 with weight 6,\nan edge between node 10 and node 8 with weight 3,\nQ: Give the shortest path from node 10 to node 2:"
            },
            {
                "from": "gpt",
                "value": "10->8->3->2."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph750",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 6 and node 0 with weight 8,\nan edge between node 0 and node 12 with weight 4,\nan edge between node 4 and node 0 with weight 1,\nan edge between node 6 and node 1 with weight 8,\nan edge between node 1 and node 16 with weight 9,\nan edge between node 3 and node 1 with weight 6,\nan edge between node 1 and node 14 with weight 7,\nan edge between node 2 and node 11 with weight 2,\nan edge between node 11 and node 3 with weight 3,\nan edge between node 3 and node 12 with weight 2,\nan edge between node 3 and node 16 with weight 7,\nan edge between node 13 and node 3 with weight 6,\nan edge between node 12 and node 4 with weight 2,\nan edge between node 9 and node 4 with weight 7,\nan edge between node 5 and node 11 with weight 2,\nan edge between node 5 and node 6 with weight 4,\nan edge between node 5 and node 12 with weight 2,\nan edge between node 8 and node 6 with weight 9,\nan edge between node 12 and node 6 with weight 6,\nan edge between node 6 and node 10 with weight 8,\nan edge between node 9 and node 6 with weight 9,\nan edge between node 13 and node 7 with weight 2,\nan edge between node 8 and node 11 with weight 3,\nan edge between node 12 and node 8 with weight 8,\nan edge between node 16 and node 8 with weight 7,\nan edge between node 10 and node 8 with weight 8,\nan edge between node 8 and node 15 with weight 6,\nan edge between node 10 and node 15 with weight 4,\nan edge between node 11 and node 16 with weight 9,\nan edge between node 16 and node 12 with weight 4,\nan edge between node 12 and node 15 with weight 10,\nQ: Give the shortest path from node 10 to node 7:"
            },
            {
                "from": "gpt",
                "value": "10->8->11->3->13->7."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph118",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 7 and node 0 with weight 1,\nan edge between node 0 and node 8 with weight 8,\nan edge between node 1 and node 8 with weight 4,\nan edge between node 2 and node 9 with weight 5,\nan edge between node 2 and node 3 with weight 2,\nan edge between node 7 and node 2 with weight 5,\nan edge between node 8 and node 2 with weight 6,\nan edge between node 6 and node 2 with weight 5,\nan edge between node 10 and node 3 with weight 2,\nan edge between node 7 and node 4 with weight 5,\nan edge between node 4 and node 8 with weight 4,\nan edge between node 5 and node 4 with weight 9,\nan edge between node 6 and node 7 with weight 10,\nan edge between node 6 and node 8 with weight 2,\nan edge between node 10 and node 7 with weight 5,\nan edge between node 8 and node 9 with weight 8,\nQ: Give the shortest path from node 1 to node 9:"
            },
            {
                "from": "gpt",
                "value": "1->8->9."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph973",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge between node 0 and node 13 with weight 7,\nan edge between node 9 and node 0 with weight 8,\nan edge between node 10 and node 0 with weight 5,\nan edge between node 0 and node 8 with weight 3,\nan edge between node 7 and node 1 with weight 2,\nan edge between node 6 and node 1 with weight 2,\nan edge between node 1 and node 18 with weight 9,\nan edge between node 2 and node 4 with weight 6,\nan edge between node 2 and node 17 with weight 9,\nan edge between node 14 and node 3 with weight 5,\nan edge between node 14 and node 4 with weight 9,\nan edge between node 15 and node 4 with weight 10,\nan edge between node 4 and node 8 with weight 6,\nan edge between node 13 and node 5 with weight 1,\nan edge between node 5 and node 7 with weight 2,\nan edge between node 6 and node 5 with weight 1,\nan edge between node 15 and node 6 with weight 3,\nan edge between node 6 and node 8 with weight 3,\nan edge between node 11 and node 7 with weight 9,\nan edge between node 7 and node 18 with weight 5,\nan edge between node 14 and node 8 with weight 10,\nan edge between node 15 and node 8 with weight 4,\nan edge between node 13 and node 10 with weight 10,\nan edge between node 15 and node 10 with weight 10,\nan edge between node 11 and node 13 with weight 4,\nan edge between node 18 and node 11 with weight 3,\nan edge between node 18 and node 12 with weight 3,\nan edge between node 16 and node 15 with weight 2,\nan edge between node 17 and node 15 with weight 4,\nQ: Give the shortest path from node 3 to node 12:"
            },
            {
                "from": "gpt",
                "value": "3->14->8->6->5->7->18->12."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph769",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 8 and node 0 with weight 8,\nan edge between node 3 and node 0 with weight 10,\nan edge between node 11 and node 0 with weight 9,\nan edge between node 1 and node 4 with weight 7,\nan edge between node 2 and node 8 with weight 5,\nan edge between node 6 and node 2 with weight 1,\nan edge between node 12 and node 3 with weight 10,\nan edge between node 6 and node 3 with weight 10,\nan edge between node 5 and node 4 with weight 8,\nan edge between node 11 and node 4 with weight 5,\nan edge between node 10 and node 5 with weight 8,\nan edge between node 9 and node 5 with weight 10,\nan edge between node 10 and node 7 with weight 8,\nan edge between node 9 and node 7 with weight 5,\nan edge between node 8 and node 15 with weight 5,\nan edge between node 9 and node 13 with weight 5,\nan edge between node 12 and node 9 with weight 8,\nan edge between node 10 and node 14 with weight 2,\nan edge between node 12 and node 16 with weight 7,\nQ: Give the shortest path from node 13 to node 8:"
            },
            {
                "from": "gpt",
                "value": "13->9->12->3->6->2->8."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1169",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 12 and node 0 with weight 1,\nan edge between node 4 and node 0 with weight 6,\nan edge between node 1 and node 0 with weight 8,\nan edge between node 5 and node 0 with weight 8,\nan edge between node 0 and node 3 with weight 2,\nan edge between node 12 and node 1 with weight 6,\nan edge between node 18 and node 1 with weight 10,\nan edge between node 2 and node 1 with weight 9,\nan edge between node 4 and node 1 with weight 1,\nan edge between node 19 and node 1 with weight 8,\nan edge between node 1 and node 16 with weight 6,\nan edge between node 1 and node 3 with weight 8,\nan edge between node 13 and node 2 with weight 7,\nan edge between node 4 and node 2 with weight 7,\nan edge between node 16 and node 2 with weight 9,\nan edge between node 9 and node 3 with weight 4,\nan edge between node 12 and node 3 with weight 4,\nan edge between node 4 and node 3 with weight 7,\nan edge between node 11 and node 3 with weight 10,\nan edge between node 3 and node 5 with weight 1,\nan edge between node 4 and node 12 with weight 1,\nan edge between node 18 and node 4 with weight 1,\nan edge between node 8 and node 4 with weight 3,\nan edge between node 10 and node 4 with weight 4,\nan edge between node 5 and node 18 with weight 5,\nan edge between node 6 and node 5 with weight 4,\nan edge between node 11 and node 5 with weight 2,\nan edge between node 5 and node 17 with weight 7,\nan edge between node 13 and node 6 with weight 4,\nan edge between node 10 and node 7 with weight 1,\nan edge between node 8 and node 15 with weight 2,\nan edge between node 8 and node 13 with weight 3,\nan edge between node 8 and node 10 with weight 2,\nan edge between node 9 and node 13 with weight 3,\nan edge between node 14 and node 9 with weight 4,\nan edge between node 9 and node 12 with weight 5,\nan edge between node 9 and node 18 with weight 3,\nan edge between node 17 and node 9 with weight 5,\nan edge between node 10 and node 9 with weight 1,\nan edge between node 15 and node 10 with weight 8,\nan edge between node 10 and node 16 with weight 1,\nan edge between node 10 and node 17 with weight 5,\nan edge between node 13 and node 11 with weight 5,\nan edge between node 16 and node 11 with weight 9,\nan edge between node 13 and node 16 with weight 6,\nan edge between node 14 and node 18 with weight 6,\nan edge between node 17 and node 14 with weight 4,\nan edge between node 18 and node 15 with weight 5,\nQ: Give the shortest path from node 4 to node 9:"
            },
            {
                "from": "gpt",
                "value": "4->18->9."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph65",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 0 and node 10 with weight 6,\nan edge between node 7 and node 0 with weight 10,\nan edge between node 0 and node 3 with weight 7,\nan edge between node 9 and node 1 with weight 6,\nan edge between node 2 and node 10 with weight 2,\nan edge between node 8 and node 2 with weight 10,\nan edge between node 5 and node 2 with weight 2,\nan edge between node 9 and node 3 with weight 8,\nan edge between node 3 and node 8 with weight 10,\nan edge between node 5 and node 3 with weight 4,\nan edge between node 10 and node 4 with weight 6,\nan edge between node 5 and node 4 with weight 8,\nan edge between node 6 and node 7 with weight 2,\nan edge between node 8 and node 9 with weight 5,\nQ: Give the shortest path from node 1 to node 6:"
            },
            {
                "from": "gpt",
                "value": "1->9->3->0->7->6."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph494",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge between node 0 and node 12 with weight 2,\nan edge between node 0 and node 3 with weight 8,\nan edge between node 9 and node 1 with weight 3,\nan edge between node 2 and node 8 with weight 2,\nan edge between node 2 and node 5 with weight 1,\nan edge between node 9 and node 2 with weight 1,\nan edge between node 8 and node 3 with weight 8,\nan edge between node 4 and node 5 with weight 9,\nan edge between node 5 and node 8 with weight 6,\nan edge between node 5 and node 11 with weight 2,\nan edge between node 10 and node 5 with weight 3,\nan edge between node 6 and node 13 with weight 5,\nan edge between node 8 and node 7 with weight 6,\nan edge between node 8 and node 14 with weight 6,\nan edge between node 9 and node 14 with weight 1,\nan edge between node 10 and node 12 with weight 4,\nan edge between node 13 and node 11 with weight 2,\nan edge between node 12 and node 13 with weight 9,\nQ: Give the shortest path from node 1 to node 6:"
            },
            {
                "from": "gpt",
                "value": "1->9->2->5->11->13->6."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph356",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge between node 9 and node 0 with weight 3,\nan edge between node 11 and node 0 with weight 3,\nan edge between node 0 and node 5 with weight 8,\nan edge between node 1 and node 9 with weight 3,\nan edge between node 3 and node 1 with weight 9,\nan edge between node 1 and node 6 with weight 1,\nan edge between node 1 and node 5 with weight 3,\nan edge between node 7 and node 2 with weight 5,\nan edge between node 4 and node 2 with weight 10,\nan edge between node 12 and node 2 with weight 5,\nan edge between node 3 and node 2 with weight 8,\nan edge between node 9 and node 3 with weight 2,\nan edge between node 3 and node 4 with weight 9,\nan edge between node 3 and node 11 with weight 1,\nan edge between node 6 and node 3 with weight 9,\nan edge between node 4 and node 7 with weight 8,\nan edge between node 10 and node 4 with weight 6,\nan edge between node 11 and node 4 with weight 5,\nan edge between node 9 and node 5 with weight 9,\nan edge between node 5 and node 10 with weight 7,\nan edge between node 11 and node 5 with weight 10,\nan edge between node 8 and node 10 with weight 4,\nan edge between node 8 and node 12 with weight 8,\nan edge between node 8 and node 11 with weight 10,\nan edge between node 9 and node 11 with weight 3,\nan edge between node 10 and node 12 with weight 2,\nQ: Give the shortest path from node 8 to node 7:"
            },
            {
                "from": "gpt",
                "value": "8->10->12->2->7."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph64",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 0 and node 5 with weight 10,\nan edge between node 0 and node 7 with weight 2,\nan edge between node 0 and node 3 with weight 5,\nan edge between node 0 and node 2 with weight 7,\nan edge between node 1 and node 5 with weight 6,\nan edge between node 9 and node 1 with weight 5,\nan edge between node 1 and node 8 with weight 9,\nan edge between node 1 and node 6 with weight 3,\nan edge between node 9 and node 2 with weight 7,\nan edge between node 4 and node 7 with weight 2,\nan edge between node 9 and node 5 with weight 4,\nan edge between node 5 and node 6 with weight 8,\nan edge between node 9 and node 6 with weight 3,\nan edge between node 8 and node 6 with weight 6,\nan edge between node 6 and node 10 with weight 3,\nan edge between node 9 and node 7 with weight 5,\nan edge between node 10 and node 8 with weight 5,\nQ: Give the shortest path from node 10 to node 3:"
            },
            {
                "from": "gpt",
                "value": "10->6->9->7->0->3."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1140",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 0 and node 12 with weight 3,\nan edge between node 16 and node 0 with weight 1,\nan edge between node 1 and node 12 with weight 7,\nan edge between node 1 and node 15 with weight 2,\nan edge between node 1 and node 3 with weight 6,\nan edge between node 1 and node 8 with weight 3,\nan edge between node 15 and node 2 with weight 9,\nan edge between node 2 and node 18 with weight 9,\nan edge between node 2 and node 3 with weight 5,\nan edge between node 2 and node 8 with weight 10,\nan edge between node 2 and node 4 with weight 7,\nan edge between node 6 and node 2 with weight 7,\nan edge between node 2 and node 17 with weight 1,\nan edge between node 3 and node 15 with weight 5,\nan edge between node 3 and node 9 with weight 8,\nan edge between node 17 and node 3 with weight 1,\nan edge between node 5 and node 10 with weight 9,\nan edge between node 5 and node 16 with weight 1,\nan edge between node 5 and node 13 with weight 7,\nan edge between node 6 and node 18 with weight 6,\nan edge between node 6 and node 9 with weight 1,\nan edge between node 16 and node 6 with weight 3,\nan edge between node 6 and node 17 with weight 7,\nan edge between node 6 and node 13 with weight 5,\nan edge between node 12 and node 7 with weight 8,\nan edge between node 7 and node 16 with weight 1,\nan edge between node 17 and node 7 with weight 8,\nan edge between node 18 and node 8 with weight 2,\nan edge between node 8 and node 11 with weight 4,\nan edge between node 8 and node 9 with weight 1,\nan edge between node 15 and node 9 with weight 7,\nan edge between node 9 and node 11 with weight 7,\nan edge between node 16 and node 9 with weight 10,\nan edge between node 14 and node 10 with weight 5,\nan edge between node 13 and node 10 with weight 2,\nan edge between node 15 and node 11 with weight 4,\nan edge between node 12 and node 18 with weight 3,\nan edge between node 13 and node 12 with weight 10,\nan edge between node 19 and node 12 with weight 5,\nan edge between node 15 and node 18 with weight 8,\nan edge between node 16 and node 19 with weight 6,\nan edge between node 17 and node 18 with weight 2,\nan edge between node 19 and node 17 with weight 4,\nQ: Give the shortest path from node 3 to node 14:"
            },
            {
                "from": "gpt",
                "value": "3->17->18->8->9->6->13->10->14."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph386",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge between node 7 and node 0 with weight 3,\nan edge between node 0 and node 9 with weight 5,\nan edge between node 6 and node 0 with weight 7,\nan edge between node 1 and node 2 with weight 6,\nan edge between node 10 and node 2 with weight 8,\nan edge between node 3 and node 5 with weight 6,\nan edge between node 7 and node 3 with weight 4,\nan edge between node 4 and node 11 with weight 3,\nan edge between node 5 and node 7 with weight 3,\nan edge between node 5 and node 6 with weight 2,\nan edge between node 6 and node 10 with weight 5,\nan edge between node 6 and node 12 with weight 3,\nan edge between node 8 and node 7 with weight 3,\nan edge between node 7 and node 11 with weight 1,\nan edge between node 12 and node 7 with weight 7,\nan edge between node 8 and node 13 with weight 8,\nan edge between node 13 and node 11 with weight 10,\nan edge between node 11 and node 12 with weight 5,\nQ: Give the shortest path from node 10 to node 8:"
            },
            {
                "from": "gpt",
                "value": "10->6->5->7->8."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph824",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 15 and node 0 with weight 7,\nan edge between node 2 and node 0 with weight 3,\nan edge between node 1 and node 0 with weight 4,\nan edge between node 0 and node 10 with weight 4,\nan edge between node 11 and node 1 with weight 3,\nan edge between node 3 and node 15 with weight 2,\nan edge between node 3 and node 8 with weight 2,\nan edge between node 9 and node 3 with weight 6,\nan edge between node 3 and node 5 with weight 9,\nan edge between node 4 and node 15 with weight 2,\nan edge between node 16 and node 5 with weight 9,\nan edge between node 5 and node 6 with weight 5,\nan edge between node 15 and node 6 with weight 6,\nan edge between node 6 and node 12 with weight 2,\nan edge between node 7 and node 8 with weight 8,\nan edge between node 9 and node 10 with weight 5,\nan edge between node 11 and node 10 with weight 2,\nan edge between node 12 and node 15 with weight 9,\nan edge between node 12 and node 16 with weight 3,\nan edge between node 12 and node 14 with weight 8,\nan edge between node 16 and node 13 with weight 2,\nQ: Give the shortest path from node 11 to node 16:"
            },
            {
                "from": "gpt",
                "value": "11->10->0->15->6->12->16."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph737",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 16 and node 0 with weight 7,\nan edge between node 9 and node 1 with weight 7,\nan edge between node 16 and node 1 with weight 3,\nan edge between node 4 and node 2 with weight 7,\nan edge between node 2 and node 12 with weight 4,\nan edge between node 2 and node 8 with weight 4,\nan edge between node 2 and node 11 with weight 10,\nan edge between node 10 and node 2 with weight 5,\nan edge between node 2 and node 16 with weight 5,\nan edge between node 2 and node 3 with weight 4,\nan edge between node 2 and node 5 with weight 5,\nan edge between node 3 and node 9 with weight 7,\nan edge between node 3 and node 13 with weight 3,\nan edge between node 3 and node 8 with weight 5,\nan edge between node 16 and node 3 with weight 9,\nan edge between node 4 and node 15 with weight 9,\nan edge between node 8 and node 4 with weight 9,\nan edge between node 4 and node 6 with weight 10,\nan edge between node 13 and node 5 with weight 4,\nan edge between node 6 and node 5 with weight 1,\nan edge between node 6 and node 10 with weight 10,\nan edge between node 7 and node 15 with weight 9,\nan edge between node 7 and node 14 with weight 8,\nan edge between node 9 and node 7 with weight 5,\nan edge between node 13 and node 7 with weight 3,\nan edge between node 8 and node 7 with weight 9,\nan edge between node 7 and node 16 with weight 7,\nan edge between node 15 and node 8 with weight 7,\nan edge between node 11 and node 15 with weight 8,\nan edge between node 11 and node 14 with weight 4,\nan edge between node 14 and node 12 with weight 10,\nan edge between node 13 and node 15 with weight 2,\nan edge between node 14 and node 15 with weight 2,\nan edge between node 16 and node 14 with weight 9,\nQ: Give the shortest path from node 15 to node 16:"
            },
            {
                "from": "gpt",
                "value": "15->14->16."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph34",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 0 and node 4 with weight 2,\nan edge between node 1 and node 6 with weight 2,\nan edge between node 9 and node 1 with weight 5,\nan edge between node 4 and node 2 with weight 6,\nan edge between node 7 and node 2 with weight 1,\nan edge between node 10 and node 3 with weight 3,\nan edge between node 10 and node 4 with weight 8,\nan edge between node 7 and node 4 with weight 7,\nan edge between node 7 and node 5 with weight 6,\nan edge between node 8 and node 6 with weight 7,\nan edge between node 7 and node 8 with weight 3,\nQ: Give the shortest path from node 7 to node 6:"
            },
            {
                "from": "gpt",
                "value": "7->8->6."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph88",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 0 and node 4 with weight 9,\nan edge between node 0 and node 2 with weight 2,\nan edge between node 0 and node 3 with weight 3,\nan edge between node 10 and node 0 with weight 9,\nan edge between node 0 and node 1 with weight 9,\nan edge between node 1 and node 6 with weight 1,\nan edge between node 1 and node 2 with weight 2,\nan edge between node 9 and node 2 with weight 5,\nan edge between node 2 and node 10 with weight 4,\nan edge between node 4 and node 7 with weight 8,\nan edge between node 6 and node 5 with weight 10,\nan edge between node 7 and node 5 with weight 10,\nan edge between node 5 and node 8 with weight 3,\nan edge between node 6 and node 9 with weight 5,\nan edge between node 7 and node 9 with weight 5,\nQ: Give the shortest path from node 10 to node 8:"
            },
            {
                "from": "gpt",
                "value": "10->2->1->6->5->8."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph583",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge between node 0 and node 2 with weight 9,\nan edge between node 14 and node 0 with weight 3,\nan edge between node 0 and node 4 with weight 1,\nan edge between node 1 and node 3 with weight 4,\nan edge between node 3 and node 5 with weight 2,\nan edge between node 4 and node 13 with weight 5,\nan edge between node 5 and node 6 with weight 10,\nan edge between node 9 and node 5 with weight 9,\nan edge between node 8 and node 5 with weight 6,\nan edge between node 6 and node 7 with weight 7,\nan edge between node 12 and node 6 with weight 9,\nan edge between node 6 and node 13 with weight 9,\nan edge between node 7 and node 9 with weight 1,\nan edge between node 7 and node 13 with weight 5,\nan edge between node 12 and node 8 with weight 4,\nan edge between node 9 and node 8 with weight 6,\nan edge between node 10 and node 8 with weight 2,\nan edge between node 8 and node 11 with weight 7,\nan edge between node 8 and node 13 with weight 3,\nan edge between node 9 and node 14 with weight 9,\nan edge between node 13 and node 10 with weight 10,\nan edge between node 13 and node 11 with weight 1,\nan edge between node 13 and node 12 with weight 1,\nQ: Give the shortest path from node 1 to node 2:"
            },
            {
                "from": "gpt",
                "value": "1->3->5->8->13->4->0->2."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1135",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 0 and node 18 with weight 1,\nan edge between node 0 and node 14 with weight 8,\nan edge between node 9 and node 0 with weight 1,\nan edge between node 19 and node 1 with weight 6,\nan edge between node 4 and node 1 with weight 1,\nan edge between node 1 and node 11 with weight 9,\nan edge between node 2 and node 17 with weight 5,\nan edge between node 2 and node 8 with weight 2,\nan edge between node 13 and node 3 with weight 4,\nan edge between node 18 and node 3 with weight 2,\nan edge between node 14 and node 3 with weight 7,\nan edge between node 4 and node 5 with weight 9,\nan edge between node 5 and node 17 with weight 2,\nan edge between node 5 and node 7 with weight 6,\nan edge between node 5 and node 6 with weight 4,\nan edge between node 10 and node 6 with weight 1,\nan edge between node 18 and node 6 with weight 5,\nan edge between node 7 and node 15 with weight 5,\nan edge between node 7 and node 19 with weight 1,\nan edge between node 14 and node 7 with weight 5,\nan edge between node 17 and node 8 with weight 9,\nan edge between node 8 and node 13 with weight 5,\nan edge between node 10 and node 8 with weight 6,\nan edge between node 8 and node 14 with weight 9,\nan edge between node 16 and node 11 with weight 10,\nan edge between node 19 and node 11 with weight 5,\nan edge between node 12 and node 15 with weight 7,\nan edge between node 13 and node 16 with weight 10,\nan edge between node 13 and node 14 with weight 10,\nan edge between node 16 and node 19 with weight 9,\nan edge between node 17 and node 18 with weight 1,\nQ: Give the shortest path from node 18 to node 12:"
            },
            {
                "from": "gpt",
                "value": "18->17->5->7->15->12."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph262",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge between node 0 and node 8 with weight 6,\nan edge between node 10 and node 0 with weight 8,\nan edge between node 3 and node 0 with weight 1,\nan edge between node 0 and node 11 with weight 4,\nan edge between node 1 and node 2 with weight 10,\nan edge between node 1 and node 7 with weight 1,\nan edge between node 4 and node 2 with weight 9,\nan edge between node 2 and node 3 with weight 7,\nan edge between node 3 and node 6 with weight 7,\nan edge between node 8 and node 4 with weight 9,\nan edge between node 4 and node 9 with weight 10,\nan edge between node 4 and node 12 with weight 10,\nan edge between node 5 and node 11 with weight 9,\nan edge between node 11 and node 6 with weight 6,\nan edge between node 12 and node 7 with weight 8,\nan edge between node 9 and node 8 with weight 2,\nan edge between node 8 and node 11 with weight 4,\nan edge between node 9 and node 12 with weight 7,\nQ: Give the shortest path from node 10 to node 7:"
            },
            {
                "from": "gpt",
                "value": "10->0->3->2->1->7."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph58",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 0 and node 5 with weight 7,\nan edge between node 6 and node 1 with weight 5,\nan edge between node 10 and node 1 with weight 2,\nan edge between node 2 and node 8 with weight 10,\nan edge between node 3 and node 2 with weight 7,\nan edge between node 3 and node 4 with weight 1,\nan edge between node 7 and node 3 with weight 9,\nan edge between node 4 and node 8 with weight 2,\nan edge between node 10 and node 4 with weight 2,\nan edge between node 5 and node 9 with weight 10,\nan edge between node 5 and node 10 with weight 10,\nan edge between node 8 and node 10 with weight 4,\nQ: Give the shortest path from node 5 to node 7:"
            },
            {
                "from": "gpt",
                "value": "5->10->4->3->7."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph273",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge between node 0 and node 4 with weight 2,\nan edge between node 1 and node 0 with weight 1,\nan edge between node 1 and node 4 with weight 5,\nan edge between node 1 and node 5 with weight 4,\nan edge between node 1 and node 11 with weight 9,\nan edge between node 12 and node 1 with weight 1,\nan edge between node 9 and node 1 with weight 1,\nan edge between node 2 and node 4 with weight 10,\nan edge between node 10 and node 2 with weight 7,\nan edge between node 8 and node 2 with weight 3,\nan edge between node 10 and node 3 with weight 4,\nan edge between node 6 and node 9 with weight 6,\nan edge between node 11 and node 7 with weight 2,\nan edge between node 8 and node 7 with weight 5,\nQ: Give the shortest path from node 0 to node 6:"
            },
            {
                "from": "gpt",
                "value": "0->1->9->6."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph817",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 0 and node 11 with weight 5,\nan edge between node 7 and node 0 with weight 4,\nan edge between node 1 and node 0 with weight 5,\nan edge between node 1 and node 4 with weight 8,\nan edge between node 1 and node 9 with weight 8,\nan edge between node 14 and node 1 with weight 8,\nan edge between node 9 and node 2 with weight 5,\nan edge between node 15 and node 2 with weight 6,\nan edge between node 2 and node 6 with weight 3,\nan edge between node 4 and node 3 with weight 5,\nan edge between node 6 and node 3 with weight 4,\nan edge between node 4 and node 11 with weight 5,\nan edge between node 4 and node 16 with weight 10,\nan edge between node 5 and node 8 with weight 10,\nan edge between node 7 and node 9 with weight 5,\nan edge between node 8 and node 7 with weight 8,\nan edge between node 8 and node 14 with weight 8,\nan edge between node 13 and node 8 with weight 10,\nan edge between node 8 and node 10 with weight 6,\nan edge between node 15 and node 8 with weight 7,\nan edge between node 12 and node 9 with weight 3,\nan edge between node 16 and node 9 with weight 3,\nan edge between node 10 and node 9 with weight 6,\nan edge between node 9 and node 15 with weight 1,\nan edge between node 10 and node 11 with weight 5,\nan edge between node 13 and node 10 with weight 9,\nan edge between node 13 and node 11 with weight 8,\nan edge between node 11 and node 15 with weight 3,\nan edge between node 16 and node 14 with weight 8,\nQ: Give the shortest path from node 14 to node 6:"
            },
            {
                "from": "gpt",
                "value": "14->16->9->2->6."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph998",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge between node 11 and node 0 with weight 1,\nan edge between node 2 and node 0 with weight 5,\nan edge between node 12 and node 0 with weight 8,\nan edge between node 16 and node 1 with weight 3,\nan edge between node 14 and node 1 with weight 9,\nan edge between node 8 and node 1 with weight 7,\nan edge between node 1 and node 12 with weight 7,\nan edge between node 3 and node 2 with weight 7,\nan edge between node 2 and node 11 with weight 3,\nan edge between node 12 and node 3 with weight 1,\nan edge between node 15 and node 4 with weight 8,\nan edge between node 5 and node 4 with weight 7,\nan edge between node 9 and node 4 with weight 8,\nan edge between node 7 and node 5 with weight 1,\nan edge between node 6 and node 16 with weight 4,\nan edge between node 10 and node 7 with weight 1,\nan edge between node 7 and node 14 with weight 5,\nan edge between node 12 and node 7 with weight 2,\nan edge between node 18 and node 7 with weight 6,\nan edge between node 8 and node 15 with weight 8,\nan edge between node 11 and node 8 with weight 1,\nan edge between node 8 and node 14 with weight 6,\nan edge between node 9 and node 15 with weight 7,\nan edge between node 9 and node 16 with weight 7,\nan edge between node 17 and node 10 with weight 3,\nan edge between node 18 and node 10 with weight 10,\nan edge between node 11 and node 16 with weight 5,\nan edge between node 12 and node 16 with weight 8,\nan edge between node 14 and node 13 with weight 6,\nan edge between node 16 and node 18 with weight 9,\nQ: Give the shortest path from node 2 to node 17:"
            },
            {
                "from": "gpt",
                "value": "2->3->12->7->10->17."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph959",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge between node 0 and node 2 with weight 2,\nan edge between node 16 and node 0 with weight 3,\nan edge between node 0 and node 4 with weight 6,\nan edge between node 0 and node 9 with weight 8,\nan edge between node 1 and node 8 with weight 2,\nan edge between node 6 and node 2 with weight 2,\nan edge between node 17 and node 2 with weight 3,\nan edge between node 2 and node 16 with weight 5,\nan edge between node 6 and node 3 with weight 7,\nan edge between node 3 and node 12 with weight 2,\nan edge between node 10 and node 4 with weight 1,\nan edge between node 4 and node 14 with weight 2,\nan edge between node 12 and node 4 with weight 1,\nan edge between node 5 and node 10 with weight 2,\nan edge between node 14 and node 5 with weight 7,\nan edge between node 5 and node 16 with weight 7,\nan edge between node 11 and node 6 with weight 5,\nan edge between node 6 and node 7 with weight 8,\nan edge between node 7 and node 8 with weight 6,\nan edge between node 10 and node 7 with weight 8,\nan edge between node 9 and node 7 with weight 6,\nan edge between node 15 and node 8 with weight 3,\nan edge between node 13 and node 8 with weight 5,\nan edge between node 10 and node 9 with weight 1,\nan edge between node 9 and node 17 with weight 2,\nan edge between node 13 and node 10 with weight 7,\nan edge between node 11 and node 12 with weight 6,\nan edge between node 13 and node 11 with weight 6,\nan edge between node 15 and node 12 with weight 6,\nan edge between node 12 and node 17 with weight 3,\nan edge between node 12 and node 13 with weight 4,\nan edge between node 15 and node 13 with weight 9,\nan edge between node 17 and node 14 with weight 6,\nan edge between node 16 and node 14 with weight 6,\nan edge between node 16 and node 15 with weight 4,\nQ: Give the shortest path from node 3 to node 1:"
            },
            {
                "from": "gpt",
                "value": "3->12->13->8->1."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1058",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge between node 10 and node 0 with weight 2,\nan edge between node 0 and node 17 with weight 1,\nan edge between node 0 and node 18 with weight 2,\nan edge between node 1 and node 0 with weight 8,\nan edge between node 7 and node 0 with weight 3,\nan edge between node 17 and node 1 with weight 2,\nan edge between node 1 and node 8 with weight 1,\nan edge between node 12 and node 1 with weight 4,\nan edge between node 15 and node 1 with weight 6,\nan edge between node 18 and node 1 with weight 7,\nan edge between node 2 and node 17 with weight 3,\nan edge between node 2 and node 3 with weight 4,\nan edge between node 2 and node 9 with weight 1,\nan edge between node 2 and node 15 with weight 2,\nan edge between node 2 and node 18 with weight 10,\nan edge between node 2 and node 7 with weight 3,\nan edge between node 3 and node 6 with weight 6,\nan edge between node 3 and node 9 with weight 2,\nan edge between node 5 and node 3 with weight 7,\nan edge between node 15 and node 3 with weight 6,\nan edge between node 16 and node 4 with weight 4,\nan edge between node 4 and node 5 with weight 7,\nan edge between node 4 and node 11 with weight 1,\nan edge between node 4 and node 15 with weight 10,\nan edge between node 5 and node 16 with weight 4,\nan edge between node 12 and node 5 with weight 9,\nan edge between node 13 and node 6 with weight 4,\nan edge between node 6 and node 12 with weight 7,\nan edge between node 11 and node 6 with weight 8,\nan edge between node 15 and node 6 with weight 3,\nan edge between node 7 and node 13 with weight 8,\nan edge between node 12 and node 7 with weight 7,\nan edge between node 15 and node 7 with weight 1,\nan edge between node 8 and node 14 with weight 9,\nan edge between node 15 and node 8 with weight 9,\nan edge between node 9 and node 10 with weight 7,\nan edge between node 18 and node 9 with weight 8,\nan edge between node 13 and node 10 with weight 4,\nan edge between node 16 and node 10 with weight 1,\nan edge between node 10 and node 11 with weight 3,\nan edge between node 17 and node 11 with weight 10,\nan edge between node 11 and node 16 with weight 5,\nan edge between node 14 and node 12 with weight 9,\nan edge between node 18 and node 12 with weight 1,\nan edge between node 16 and node 14 with weight 2,\nan edge between node 18 and node 14 with weight 5,\nQ: Give the shortest path from node 15 to node 10:"
            },
            {
                "from": "gpt",
                "value": "15->7->0->10."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph346",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge between node 0 and node 2 with weight 5,\nan edge between node 3 and node 0 with weight 9,\nan edge between node 0 and node 10 with weight 2,\nan edge between node 5 and node 1 with weight 2,\nan edge between node 1 and node 11 with weight 8,\nan edge between node 2 and node 12 with weight 8,\nan edge between node 9 and node 2 with weight 8,\nan edge between node 8 and node 3 with weight 10,\nan edge between node 11 and node 3 with weight 4,\nan edge between node 4 and node 5 with weight 5,\nan edge between node 4 and node 7 with weight 8,\nan edge between node 4 and node 10 with weight 8,\nan edge between node 4 and node 11 with weight 7,\nan edge between node 12 and node 5 with weight 10,\nan edge between node 5 and node 8 with weight 10,\nan edge between node 5 and node 6 with weight 4,\nan edge between node 5 and node 9 with weight 10,\nan edge between node 5 and node 11 with weight 3,\nan edge between node 12 and node 8 with weight 4,\nan edge between node 8 and node 10 with weight 3,\nan edge between node 11 and node 12 with weight 5,\nQ: Give the shortest path from node 4 to node 2:"
            },
            {
                "from": "gpt",
                "value": "4->10->0->2."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph63",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 1 and node 0 with weight 6,\nan edge between node 0 and node 9 with weight 7,\nan edge between node 7 and node 1 with weight 1,\nan edge between node 1 and node 9 with weight 5,\nan edge between node 4 and node 2 with weight 9,\nan edge between node 2 and node 6 with weight 2,\nan edge between node 3 and node 2 with weight 10,\nan edge between node 9 and node 3 with weight 2,\nan edge between node 3 and node 4 with weight 3,\nan edge between node 8 and node 3 with weight 2,\nan edge between node 8 and node 4 with weight 10,\nan edge between node 5 and node 9 with weight 6,\nan edge between node 10 and node 5 with weight 10,\nan edge between node 6 and node 10 with weight 4,\nan edge between node 8 and node 6 with weight 9,\nan edge between node 8 and node 7 with weight 4,\nQ: Give the shortest path from node 1 to node 2:"
            },
            {
                "from": "gpt",
                "value": "1->7->8->6->2."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph410",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge between node 0 and node 9 with weight 2,\nan edge between node 1 and node 0 with weight 1,\nan edge between node 0 and node 2 with weight 10,\nan edge between node 0 and node 8 with weight 5,\nan edge between node 0 and node 3 with weight 4,\nan edge between node 5 and node 1 with weight 1,\nan edge between node 11 and node 1 with weight 9,\nan edge between node 1 and node 7 with weight 4,\nan edge between node 1 and node 3 with weight 9,\nan edge between node 8 and node 2 with weight 1,\nan edge between node 7 and node 3 with weight 10,\nan edge between node 10 and node 4 with weight 1,\nan edge between node 5 and node 12 with weight 8,\nan edge between node 8 and node 6 with weight 2,\nan edge between node 7 and node 10 with weight 7,\nan edge between node 8 and node 12 with weight 6,\nan edge between node 10 and node 8 with weight 4,\nan edge between node 9 and node 10 with weight 4,\nan edge between node 11 and node 13 with weight 6,\nan edge between node 13 and node 12 with weight 1,\nQ: Give the shortest path from node 11 to node 6:"
            },
            {
                "from": "gpt",
                "value": "11->13->12->8->6."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph331",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge between node 2 and node 0 with weight 5,\nan edge between node 5 and node 0 with weight 3,\nan edge between node 3 and node 0 with weight 5,\nan edge between node 9 and node 0 with weight 2,\nan edge between node 4 and node 0 with weight 1,\nan edge between node 1 and node 10 with weight 5,\nan edge between node 5 and node 2 with weight 6,\nan edge between node 10 and node 3 with weight 3,\nan edge between node 7 and node 5 with weight 9,\nan edge between node 9 and node 6 with weight 4,\nan edge between node 7 and node 8 with weight 4,\nan edge between node 8 and node 9 with weight 6,\nan edge between node 12 and node 8 with weight 5,\nan edge between node 11 and node 9 with weight 10,\nQ: Give the shortest path from node 12 to node 1:"
            },
            {
                "from": "gpt",
                "value": "12->8->9->0->3->10->1."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph775",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 1 and node 0 with weight 6,\nan edge between node 4 and node 0 with weight 6,\nan edge between node 0 and node 3 with weight 4,\nan edge between node 9 and node 1 with weight 10,\nan edge between node 1 and node 2 with weight 9,\nan edge between node 8 and node 2 with weight 7,\nan edge between node 2 and node 15 with weight 6,\nan edge between node 2 and node 16 with weight 8,\nan edge between node 6 and node 3 with weight 1,\nan edge between node 12 and node 3 with weight 10,\nan edge between node 8 and node 4 with weight 5,\nan edge between node 5 and node 4 with weight 4,\nan edge between node 16 and node 4 with weight 9,\nan edge between node 6 and node 5 with weight 4,\nan edge between node 7 and node 5 with weight 1,\nan edge between node 15 and node 6 with weight 5,\nan edge between node 12 and node 6 with weight 10,\nan edge between node 10 and node 6 with weight 1,\nan edge between node 7 and node 15 with weight 4,\nan edge between node 16 and node 7 with weight 3,\nan edge between node 12 and node 7 with weight 7,\nan edge between node 15 and node 9 with weight 10,\nan edge between node 11 and node 9 with weight 1,\nan edge between node 16 and node 10 with weight 5,\nan edge between node 10 and node 11 with weight 3,\nan edge between node 10 and node 12 with weight 5,\nan edge between node 11 and node 14 with weight 4,\nan edge between node 15 and node 13 with weight 9,\nan edge between node 16 and node 14 with weight 3,\nQ: Give the shortest path from node 3 to node 14:"
            },
            {
                "from": "gpt",
                "value": "3->6->10->11->14."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph315",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge between node 6 and node 0 with weight 4,\nan edge between node 0 and node 8 with weight 7,\nan edge between node 9 and node 0 with weight 7,\nan edge between node 0 and node 11 with weight 4,\nan edge between node 2 and node 0 with weight 2,\nan edge between node 0 and node 3 with weight 10,\nan edge between node 12 and node 1 with weight 2,\nan edge between node 1 and node 5 with weight 9,\nan edge between node 6 and node 2 with weight 9,\nan edge between node 7 and node 2 with weight 7,\nan edge between node 3 and node 2 with weight 2,\nan edge between node 3 and node 8 with weight 1,\nan edge between node 12 and node 3 with weight 1,\nan edge between node 5 and node 3 with weight 9,\nan edge between node 10 and node 4 with weight 6,\nan edge between node 10 and node 7 with weight 8,\nan edge between node 7 and node 12 with weight 3,\nQ: Give the shortest path from node 5 to node 4:"
            },
            {
                "from": "gpt",
                "value": "5->3->12->7->10->4."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph123",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge between node 9 and node 0 with weight 8,\nan edge between node 2 and node 0 with weight 3,\nan edge between node 1 and node 6 with weight 4,\nan edge between node 1 and node 11 with weight 7,\nan edge between node 2 and node 6 with weight 10,\nan edge between node 2 and node 7 with weight 7,\nan edge between node 9 and node 3 with weight 6,\nan edge between node 3 and node 4 with weight 7,\nan edge between node 4 and node 6 with weight 8,\nan edge between node 4 and node 8 with weight 6,\nan edge between node 6 and node 5 with weight 10,\nan edge between node 7 and node 5 with weight 9,\nan edge between node 8 and node 10 with weight 5,\nan edge between node 8 and node 11 with weight 7,\nQ: Give the shortest path from node 10 to node 7:"
            },
            {
                "from": "gpt",
                "value": "10->8->4->6->2->7."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph426",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge between node 12 and node 0 with weight 2,\nan edge between node 9 and node 0 with weight 8,\nan edge between node 0 and node 6 with weight 4,\nan edge between node 10 and node 0 with weight 6,\nan edge between node 12 and node 1 with weight 4,\nan edge between node 1 and node 8 with weight 9,\nan edge between node 1 and node 9 with weight 4,\nan edge between node 13 and node 2 with weight 10,\nan edge between node 2 and node 7 with weight 3,\nan edge between node 4 and node 2 with weight 7,\nan edge between node 3 and node 13 with weight 8,\nan edge between node 8 and node 3 with weight 5,\nan edge between node 4 and node 13 with weight 2,\nan edge between node 11 and node 5 with weight 5,\nan edge between node 13 and node 6 with weight 2,\nan edge between node 6 and node 8 with weight 5,\nan edge between node 9 and node 6 with weight 1,\nan edge between node 7 and node 8 with weight 3,\nan edge between node 13 and node 8 with weight 5,\nan edge between node 9 and node 13 with weight 7,\nan edge between node 10 and node 11 with weight 9,\nan edge between node 12 and node 13 with weight 8,\nQ: Give the shortest path from node 4 to node 5:"
            },
            {
                "from": "gpt",
                "value": "4->13->6->0->10->11->5."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph878",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge between node 11 and node 0 with weight 8,\nan edge between node 0 and node 6 with weight 3,\nan edge between node 16 and node 0 with weight 2,\nan edge between node 8 and node 0 with weight 4,\nan edge between node 1 and node 4 with weight 1,\nan edge between node 6 and node 1 with weight 8,\nan edge between node 1 and node 17 with weight 7,\nan edge between node 5 and node 1 with weight 9,\nan edge between node 1 and node 7 with weight 10,\nan edge between node 2 and node 7 with weight 6,\nan edge between node 3 and node 12 with weight 7,\nan edge between node 17 and node 3 with weight 9,\nan edge between node 15 and node 4 with weight 10,\nan edge between node 5 and node 10 with weight 1,\nan edge between node 5 and node 16 with weight 8,\nan edge between node 5 and node 8 with weight 10,\nan edge between node 14 and node 5 with weight 5,\nan edge between node 12 and node 6 with weight 1,\nan edge between node 6 and node 17 with weight 7,\nan edge between node 7 and node 9 with weight 10,\nan edge between node 16 and node 7 with weight 1,\nan edge between node 7 and node 17 with weight 9,\nan edge between node 8 and node 10 with weight 2,\nan edge between node 15 and node 8 with weight 7,\nan edge between node 17 and node 8 with weight 1,\nan edge between node 9 and node 15 with weight 6,\nan edge between node 17 and node 9 with weight 6,\nan edge between node 9 and node 14 with weight 4,\nan edge between node 16 and node 10 with weight 4,\nan edge between node 14 and node 11 with weight 6,\nan edge between node 13 and node 16 with weight 6,\nan edge between node 14 and node 16 with weight 8,\nQ: Give the shortest path from node 4 to node 0:"
            },
            {
                "from": "gpt",
                "value": "4->1->6->0."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1075",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge between node 10 and node 0 with weight 6,\nan edge between node 0 and node 9 with weight 2,\nan edge between node 1 and node 0 with weight 7,\nan edge between node 18 and node 0 with weight 7,\nan edge between node 1 and node 17 with weight 4,\nan edge between node 11 and node 1 with weight 6,\nan edge between node 1 and node 3 with weight 1,\nan edge between node 1 and node 14 with weight 6,\nan edge between node 15 and node 1 with weight 8,\nan edge between node 16 and node 1 with weight 2,\nan edge between node 9 and node 1 with weight 6,\nan edge between node 4 and node 2 with weight 4,\nan edge between node 15 and node 2 with weight 4,\nan edge between node 2 and node 9 with weight 9,\nan edge between node 5 and node 2 with weight 7,\nan edge between node 3 and node 17 with weight 2,\nan edge between node 4 and node 3 with weight 3,\nan edge between node 3 and node 11 with weight 10,\nan edge between node 3 and node 8 with weight 1,\nan edge between node 16 and node 3 with weight 5,\nan edge between node 4 and node 14 with weight 3,\nan edge between node 4 and node 18 with weight 9,\nan edge between node 15 and node 5 with weight 8,\nan edge between node 5 and node 8 with weight 3,\nan edge between node 6 and node 15 with weight 8,\nan edge between node 7 and node 18 with weight 1,\nan edge between node 10 and node 8 with weight 5,\nan edge between node 8 and node 15 with weight 10,\nan edge between node 9 and node 11 with weight 8,\nan edge between node 15 and node 9 with weight 3,\nan edge between node 10 and node 17 with weight 6,\nan edge between node 10 and node 16 with weight 7,\nan edge between node 11 and node 17 with weight 5,\nan edge between node 11 and node 13 with weight 10,\nan edge between node 13 and node 12 with weight 9,\nan edge between node 13 and node 15 with weight 7,\nan edge between node 13 and node 16 with weight 3,\nQ: Give the shortest path from node 12 to node 7:"
            },
            {
                "from": "gpt",
                "value": "12->13->16->1->3->4->18->7."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph87",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 2 and node 0 with weight 4,\nan edge between node 7 and node 0 with weight 2,\nan edge between node 10 and node 0 with weight 5,\nan edge between node 7 and node 1 with weight 5,\nan edge between node 7 and node 2 with weight 8,\nan edge between node 2 and node 3 with weight 8,\nan edge between node 5 and node 2 with weight 1,\nan edge between node 2 and node 10 with weight 6,\nan edge between node 2 and node 8 with weight 9,\nan edge between node 6 and node 3 with weight 6,\nan edge between node 3 and node 8 with weight 5,\nan edge between node 4 and node 7 with weight 3,\nan edge between node 9 and node 4 with weight 4,\nan edge between node 5 and node 7 with weight 5,\nan edge between node 8 and node 5 with weight 10,\nan edge between node 9 and node 5 with weight 8,\nQ: Give the shortest path from node 6 to node 0:"
            },
            {
                "from": "gpt",
                "value": "6->3->2->0."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1037",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge between node 0 and node 5 with weight 7,\nan edge between node 11 and node 0 with weight 5,\nan edge between node 0 and node 6 with weight 8,\nan edge between node 0 and node 15 with weight 2,\nan edge between node 0 and node 4 with weight 4,\nan edge between node 13 and node 1 with weight 8,\nan edge between node 5 and node 1 with weight 6,\nan edge between node 8 and node 1 with weight 5,\nan edge between node 1 and node 11 with weight 1,\nan edge between node 1 and node 6 with weight 2,\nan edge between node 1 and node 7 with weight 7,\nan edge between node 2 and node 13 with weight 4,\nan edge between node 2 and node 5 with weight 7,\nan edge between node 7 and node 2 with weight 8,\nan edge between node 15 and node 2 with weight 1,\nan edge between node 14 and node 3 with weight 1,\nan edge between node 3 and node 5 with weight 9,\nan edge between node 3 and node 16 with weight 4,\nan edge between node 6 and node 3 with weight 7,\nan edge between node 12 and node 4 with weight 3,\nan edge between node 11 and node 4 with weight 8,\nan edge between node 15 and node 4 with weight 7,\nan edge between node 7 and node 11 with weight 7,\nan edge between node 9 and node 7 with weight 1,\nan edge between node 9 and node 17 with weight 1,\nan edge between node 14 and node 9 with weight 2,\nan edge between node 12 and node 9 with weight 7,\nan edge between node 15 and node 10 with weight 4,\nan edge between node 15 and node 11 with weight 10,\nan edge between node 17 and node 12 with weight 3,\nan edge between node 12 and node 16 with weight 5,\nan edge between node 18 and node 12 with weight 2,\nan edge between node 13 and node 18 with weight 1,\nan edge between node 18 and node 15 with weight 1,\nQ: Give the shortest path from node 14 to node 10:"
            },
            {
                "from": "gpt",
                "value": "14->9->17->12->18->15->10."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph287",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge between node 6 and node 0 with weight 8,\nan edge between node 2 and node 0 with weight 7,\nan edge between node 3 and node 0 with weight 7,\nan edge between node 1 and node 2 with weight 4,\nan edge between node 6 and node 2 with weight 7,\nan edge between node 8 and node 2 with weight 5,\nan edge between node 10 and node 2 with weight 3,\nan edge between node 4 and node 2 with weight 5,\nan edge between node 3 and node 9 with weight 6,\nan edge between node 5 and node 4 with weight 3,\nan edge between node 11 and node 4 with weight 1,\nan edge between node 7 and node 9 with weight 1,\nan edge between node 9 and node 10 with weight 9,\nan edge between node 11 and node 12 with weight 3,\nQ: Give the shortest path from node 9 to node 12:"
            },
            {
                "from": "gpt",
                "value": "9->10->2->4->11->12."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph886",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge between node 0 and node 11 with weight 7,\nan edge between node 5 and node 0 with weight 9,\nan edge between node 1 and node 3 with weight 6,\nan edge between node 5 and node 1 with weight 2,\nan edge between node 9 and node 1 with weight 2,\nan edge between node 6 and node 2 with weight 3,\nan edge between node 2 and node 13 with weight 4,\nan edge between node 3 and node 14 with weight 1,\nan edge between node 3 and node 6 with weight 2,\nan edge between node 3 and node 11 with weight 7,\nan edge between node 9 and node 3 with weight 3,\nan edge between node 13 and node 3 with weight 2,\nan edge between node 3 and node 4 with weight 8,\nan edge between node 12 and node 4 with weight 3,\nan edge between node 4 and node 7 with weight 1,\nan edge between node 5 and node 8 with weight 5,\nan edge between node 5 and node 14 with weight 5,\nan edge between node 13 and node 5 with weight 6,\nan edge between node 5 and node 16 with weight 8,\nan edge between node 7 and node 17 with weight 5,\nan edge between node 14 and node 8 with weight 1,\nan edge between node 13 and node 8 with weight 3,\nan edge between node 9 and node 17 with weight 5,\nan edge between node 9 and node 14 with weight 2,\nan edge between node 9 and node 13 with weight 3,\nan edge between node 10 and node 12 with weight 5,\nan edge between node 11 and node 17 with weight 4,\nan edge between node 14 and node 12 with weight 7,\nan edge between node 13 and node 16 with weight 2,\nan edge between node 15 and node 14 with weight 5,\nan edge between node 17 and node 15 with weight 8,\nan edge between node 17 and node 16 with weight 3,\nQ: Give the shortest path from node 10 to node 2:"
            },
            {
                "from": "gpt",
                "value": "10->12->14->3->6->2."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph43",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 0 and node 7 with weight 6,\nan edge between node 2 and node 0 with weight 3,\nan edge between node 1 and node 8 with weight 9,\nan edge between node 10 and node 2 with weight 10,\nan edge between node 2 and node 8 with weight 4,\nan edge between node 6 and node 3 with weight 1,\nan edge between node 7 and node 4 with weight 1,\nan edge between node 10 and node 5 with weight 1,\nan edge between node 5 and node 8 with weight 1,\nan edge between node 7 and node 6 with weight 3,\nan edge between node 8 and node 6 with weight 1,\nan edge between node 7 and node 9 with weight 10,\nQ: Give the shortest path from node 5 to node 4:"
            },
            {
                "from": "gpt",
                "value": "5->8->6->7->4."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph280",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge between node 8 and node 0 with weight 6,\nan edge between node 0 and node 7 with weight 6,\nan edge between node 0 and node 2 with weight 7,\nan edge between node 11 and node 1 with weight 4,\nan edge between node 1 and node 4 with weight 10,\nan edge between node 2 and node 6 with weight 10,\nan edge between node 8 and node 2 with weight 6,\nan edge between node 2 and node 3 with weight 9,\nan edge between node 4 and node 2 with weight 1,\nan edge between node 3 and node 5 with weight 7,\nan edge between node 3 and node 9 with weight 7,\nan edge between node 6 and node 4 with weight 5,\nan edge between node 4 and node 7 with weight 5,\nan edge between node 10 and node 5 with weight 7,\nan edge between node 5 and node 11 with weight 5,\nan edge between node 9 and node 6 with weight 1,\nan edge between node 6 and node 7 with weight 1,\nan edge between node 7 and node 9 with weight 8,\nan edge between node 12 and node 11 with weight 4,\nQ: Give the shortest path from node 11 to node 6:"
            },
            {
                "from": "gpt",
                "value": "11->1->4->6."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph580",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge between node 0 and node 13 with weight 1,\nan edge between node 6 and node 1 with weight 4,\nan edge between node 3 and node 1 with weight 6,\nan edge between node 2 and node 6 with weight 9,\nan edge between node 2 and node 3 with weight 4,\nan edge between node 7 and node 3 with weight 7,\nan edge between node 5 and node 3 with weight 6,\nan edge between node 4 and node 8 with weight 2,\nan edge between node 5 and node 14 with weight 9,\nan edge between node 8 and node 5 with weight 8,\nan edge between node 9 and node 5 with weight 6,\nan edge between node 5 and node 11 with weight 2,\nan edge between node 11 and node 6 with weight 6,\nan edge between node 10 and node 7 with weight 2,\nan edge between node 12 and node 7 with weight 9,\nan edge between node 8 and node 9 with weight 3,\nan edge between node 8 and node 12 with weight 7,\nan edge between node 10 and node 9 with weight 4,\nan edge between node 10 and node 13 with weight 10,\nan edge between node 14 and node 11 with weight 2,\nQ: Give the shortest path from node 6 to node 0:"
            },
            {
                "from": "gpt",
                "value": "6->11->5->9->10->13->0."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1057",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge between node 0 and node 12 with weight 1,\nan edge between node 13 and node 0 with weight 7,\nan edge between node 0 and node 3 with weight 10,\nan edge between node 14 and node 0 with weight 6,\nan edge between node 0 and node 4 with weight 4,\nan edge between node 1 and node 13 with weight 1,\nan edge between node 2 and node 1 with weight 5,\nan edge between node 1 and node 4 with weight 8,\nan edge between node 1 and node 9 with weight 4,\nan edge between node 18 and node 2 with weight 9,\nan edge between node 8 and node 2 with weight 7,\nan edge between node 3 and node 2 with weight 2,\nan edge between node 2 and node 16 with weight 2,\nan edge between node 2 and node 14 with weight 2,\nan edge between node 3 and node 18 with weight 3,\nan edge between node 3 and node 6 with weight 10,\nan edge between node 4 and node 12 with weight 8,\nan edge between node 13 and node 4 with weight 2,\nan edge between node 18 and node 4 with weight 2,\nan edge between node 6 and node 4 with weight 4,\nan edge between node 7 and node 4 with weight 2,\nan edge between node 4 and node 9 with weight 3,\nan edge between node 8 and node 5 with weight 6,\nan edge between node 15 and node 5 with weight 4,\nan edge between node 11 and node 5 with weight 1,\nan edge between node 14 and node 5 with weight 2,\nan edge between node 5 and node 9 with weight 2,\nan edge between node 10 and node 6 with weight 1,\nan edge between node 15 and node 6 with weight 4,\nan edge between node 6 and node 11 with weight 8,\nan edge between node 6 and node 17 with weight 7,\nan edge between node 9 and node 6 with weight 7,\nan edge between node 7 and node 13 with weight 2,\nan edge between node 8 and node 7 with weight 8,\nan edge between node 11 and node 7 with weight 2,\nan edge between node 12 and node 8 with weight 6,\nan edge between node 8 and node 15 with weight 6,\nan edge between node 16 and node 8 with weight 8,\nan edge between node 14 and node 8 with weight 10,\nan edge between node 12 and node 9 with weight 9,\nan edge between node 9 and node 18 with weight 9,\nan edge between node 9 and node 17 with weight 1,\nan edge between node 14 and node 9 with weight 10,\nan edge between node 10 and node 18 with weight 4,\nan edge between node 11 and node 10 with weight 5,\nan edge between node 18 and node 11 with weight 9,\nan edge between node 17 and node 11 with weight 2,\nan edge between node 13 and node 12 with weight 9,\nan edge between node 14 and node 12 with weight 6,\nan edge between node 15 and node 13 with weight 10,\nan edge between node 13 and node 17 with weight 6,\nan edge between node 13 and node 16 with weight 1,\nan edge between node 14 and node 13 with weight 7,\nan edge between node 14 and node 17 with weight 7,\nan edge between node 17 and node 15 with weight 3,\nan edge between node 16 and node 15 with weight 7,\nan edge between node 17 and node 18 with weight 9,\nQ: Give the shortest path from node 11 to node 14:"
            },
            {
                "from": "gpt",
                "value": "11->5->14."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph707",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge between node 5 and node 0 with weight 3,\nan edge between node 1 and node 0 with weight 9,\nan edge between node 1 and node 11 with weight 10,\nan edge between node 12 and node 1 with weight 1,\nan edge between node 2 and node 6 with weight 5,\nan edge between node 3 and node 13 with weight 4,\nan edge between node 3 and node 7 with weight 1,\nan edge between node 11 and node 4 with weight 10,\nan edge between node 10 and node 4 with weight 9,\nan edge between node 5 and node 11 with weight 6,\nan edge between node 6 and node 5 with weight 1,\nan edge between node 14 and node 6 with weight 1,\nan edge between node 6 and node 7 with weight 7,\nan edge between node 11 and node 8 with weight 8,\nan edge between node 9 and node 14 with weight 7,\nan edge between node 10 and node 11 with weight 2,\nan edge between node 10 and node 12 with weight 4,\nan edge between node 11 and node 14 with weight 5,\nan edge between node 11 and node 15 with weight 4,\nan edge between node 12 and node 15 with weight 7,\nQ: Give the shortest path from node 3 to node 12:"
            },
            {
                "from": "gpt",
                "value": "3->7->6->14->11->10->12."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1162",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 0 and node 3 with weight 9,\nan edge between node 0 and node 19 with weight 2,\nan edge between node 0 and node 15 with weight 6,\nan edge between node 8 and node 0 with weight 5,\nan edge between node 16 and node 1 with weight 8,\nan edge between node 11 and node 1 with weight 1,\nan edge between node 13 and node 1 with weight 10,\nan edge between node 2 and node 3 with weight 7,\nan edge between node 4 and node 2 with weight 1,\nan edge between node 2 and node 12 with weight 3,\nan edge between node 2 and node 17 with weight 4,\nan edge between node 2 and node 11 with weight 8,\nan edge between node 2 and node 14 with weight 7,\nan edge between node 2 and node 10 with weight 9,\nan edge between node 9 and node 3 with weight 4,\nan edge between node 15 and node 3 with weight 8,\nan edge between node 3 and node 7 with weight 2,\nan edge between node 3 and node 17 with weight 7,\nan edge between node 4 and node 7 with weight 2,\nan edge between node 11 and node 4 with weight 6,\nan edge between node 4 and node 8 with weight 3,\nan edge between node 9 and node 5 with weight 7,\nan edge between node 5 and node 6 with weight 4,\nan edge between node 12 and node 5 with weight 9,\nan edge between node 9 and node 6 with weight 3,\nan edge between node 16 and node 6 with weight 2,\nan edge between node 7 and node 6 with weight 3,\nan edge between node 10 and node 6 with weight 8,\nan edge between node 16 and node 7 with weight 9,\nan edge between node 7 and node 12 with weight 10,\nan edge between node 18 and node 7 with weight 9,\nan edge between node 8 and node 9 with weight 8,\nan edge between node 8 and node 18 with weight 4,\nan edge between node 16 and node 9 with weight 5,\nan edge between node 19 and node 9 with weight 8,\nan edge between node 9 and node 18 with weight 9,\nan edge between node 10 and node 16 with weight 9,\nan edge between node 16 and node 11 with weight 7,\nan edge between node 11 and node 12 with weight 2,\nan edge between node 18 and node 12 with weight 9,\nan edge between node 13 and node 12 with weight 6,\nan edge between node 13 and node 19 with weight 3,\nan edge between node 15 and node 13 with weight 2,\nan edge between node 17 and node 13 with weight 8,\nan edge between node 14 and node 16 with weight 5,\nan edge between node 19 and node 14 with weight 1,\nan edge between node 14 and node 15 with weight 6,\nan edge between node 16 and node 15 with weight 8,\nan edge between node 17 and node 18 with weight 3,\nQ: Give the shortest path from node 17 to node 5:"
            },
            {
                "from": "gpt",
                "value": "17->2->4->7->6->5."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph586",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge between node 0 and node 5 with weight 1,\nan edge between node 0 and node 14 with weight 4,\nan edge between node 5 and node 1 with weight 8,\nan edge between node 1 and node 7 with weight 5,\nan edge between node 8 and node 1 with weight 2,\nan edge between node 3 and node 2 with weight 4,\nan edge between node 7 and node 2 with weight 2,\nan edge between node 2 and node 10 with weight 10,\nan edge between node 3 and node 11 with weight 1,\nan edge between node 3 and node 10 with weight 4,\nan edge between node 14 and node 4 with weight 3,\nan edge between node 5 and node 13 with weight 7,\nan edge between node 7 and node 5 with weight 6,\nan edge between node 13 and node 6 with weight 8,\nan edge between node 6 and node 12 with weight 8,\nan edge between node 7 and node 10 with weight 7,\nan edge between node 7 and node 9 with weight 6,\nan edge between node 8 and node 14 with weight 7,\nan edge between node 10 and node 14 with weight 7,\nan edge between node 11 and node 13 with weight 2,\nan edge between node 11 and node 12 with weight 4,\nQ: Give the shortest path from node 4 to node 6:"
            },
            {
                "from": "gpt",
                "value": "4->14->0->5->13->6."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph656",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge between node 3 and node 0 with weight 7,\nan edge between node 2 and node 0 with weight 3,\nan edge between node 10 and node 1 with weight 3,\nan edge between node 15 and node 1 with weight 5,\nan edge between node 1 and node 11 with weight 2,\nan edge between node 3 and node 2 with weight 3,\nan edge between node 2 and node 8 with weight 8,\nan edge between node 4 and node 2 with weight 2,\nan edge between node 2 and node 5 with weight 6,\nan edge between node 3 and node 12 with weight 10,\nan edge between node 3 and node 4 with weight 2,\nan edge between node 13 and node 3 with weight 5,\nan edge between node 15 and node 3 with weight 3,\nan edge between node 4 and node 11 with weight 7,\nan edge between node 4 and node 5 with weight 5,\nan edge between node 12 and node 5 with weight 8,\nan edge between node 11 and node 5 with weight 2,\nan edge between node 7 and node 6 with weight 4,\nan edge between node 6 and node 14 with weight 3,\nan edge between node 6 and node 13 with weight 9,\nan edge between node 7 and node 12 with weight 1,\nan edge between node 12 and node 9 with weight 8,\nan edge between node 15 and node 10 with weight 3,\nQ: Give the shortest path from node 0 to node 9:"
            },
            {
                "from": "gpt",
                "value": "0->2->3->12->9."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph632",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge between node 1 and node 0 with weight 7,\nan edge between node 8 and node 0 with weight 7,\nan edge between node 0 and node 14 with weight 3,\nan edge between node 0 and node 15 with weight 3,\nan edge between node 7 and node 1 with weight 3,\nan edge between node 1 and node 14 with weight 5,\nan edge between node 5 and node 2 with weight 9,\nan edge between node 3 and node 2 with weight 6,\nan edge between node 2 and node 10 with weight 6,\nan edge between node 10 and node 3 with weight 6,\nan edge between node 7 and node 4 with weight 8,\nan edge between node 5 and node 4 with weight 2,\nan edge between node 5 and node 9 with weight 8,\nan edge between node 12 and node 6 with weight 1,\nan edge between node 7 and node 8 with weight 4,\nan edge between node 11 and node 7 with weight 5,\nan edge between node 9 and node 12 with weight 8,\nan edge between node 13 and node 10 with weight 6,\nan edge between node 10 and node 12 with weight 5,\nan edge between node 14 and node 10 with weight 9,\nQ: Give the shortest path from node 11 to node 6:"
            },
            {
                "from": "gpt",
                "value": "11->7->1->14->10->12->6."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph960",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge between node 12 and node 0 with weight 6,\nan edge between node 0 and node 7 with weight 7,\nan edge between node 10 and node 1 with weight 6,\nan edge between node 5 and node 1 with weight 7,\nan edge between node 1 and node 8 with weight 2,\nan edge between node 1 and node 6 with weight 10,\nan edge between node 1 and node 16 with weight 8,\nan edge between node 17 and node 1 with weight 5,\nan edge between node 3 and node 1 with weight 1,\nan edge between node 10 and node 2 with weight 3,\nan edge between node 9 and node 2 with weight 6,\nan edge between node 17 and node 2 with weight 10,\nan edge between node 13 and node 2 with weight 2,\nan edge between node 18 and node 3 with weight 10,\nan edge between node 3 and node 5 with weight 1,\nan edge between node 4 and node 9 with weight 8,\nan edge between node 4 and node 15 with weight 6,\nan edge between node 6 and node 4 with weight 5,\nan edge between node 13 and node 4 with weight 5,\nan edge between node 10 and node 5 with weight 6,\nan edge between node 5 and node 7 with weight 1,\nan edge between node 11 and node 5 with weight 1,\nan edge between node 17 and node 5 with weight 1,\nan edge between node 7 and node 6 with weight 4,\nan edge between node 11 and node 6 with weight 1,\nan edge between node 16 and node 6 with weight 7,\nan edge between node 9 and node 7 with weight 4,\nan edge between node 7 and node 15 with weight 9,\nan edge between node 8 and node 7 with weight 10,\nan edge between node 7 and node 11 with weight 9,\nan edge between node 9 and node 8 with weight 6,\nan edge between node 11 and node 8 with weight 8,\nan edge between node 13 and node 8 with weight 5,\nan edge between node 9 and node 11 with weight 4,\nan edge between node 10 and node 11 with weight 7,\nan edge between node 11 and node 15 with weight 6,\nan edge between node 14 and node 18 with weight 7,\nan edge between node 17 and node 16 with weight 1,\nQ: Give the shortest path from node 12 to node 14:"
            },
            {
                "from": "gpt",
                "value": "12->0->7->5->3->18->14."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph684",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge between node 0 and node 1 with weight 4,\nan edge between node 13 and node 1 with weight 5,\nan edge between node 10 and node 1 with weight 1,\nan edge between node 1 and node 5 with weight 7,\nan edge between node 2 and node 11 with weight 4,\nan edge between node 2 and node 15 with weight 8,\nan edge between node 11 and node 3 with weight 4,\nan edge between node 3 and node 9 with weight 4,\nan edge between node 4 and node 8 with weight 10,\nan edge between node 7 and node 5 with weight 4,\nan edge between node 5 and node 9 with weight 5,\nan edge between node 14 and node 6 with weight 10,\nan edge between node 8 and node 6 with weight 5,\nan edge between node 13 and node 8 with weight 4,\nan edge between node 10 and node 8 with weight 7,\nan edge between node 15 and node 8 with weight 10,\nan edge between node 8 and node 12 with weight 9,\nan edge between node 15 and node 9 with weight 9,\nan edge between node 12 and node 9 with weight 5,\nan edge between node 11 and node 13 with weight 4,\nan edge between node 15 and node 12 with weight 6,\nan edge between node 12 and node 14 with weight 2,\nQ: Give the shortest path from node 4 to node 7:"
            },
            {
                "from": "gpt",
                "value": "4->8->10->1->5->7."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph212",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge between node 0 and node 6 with weight 1,\nan edge between node 0 and node 3 with weight 9,\nan edge between node 0 and node 1 with weight 9,\nan edge between node 2 and node 0 with weight 4,\nan edge between node 1 and node 3 with weight 2,\nan edge between node 8 and node 1 with weight 1,\nan edge between node 4 and node 1 with weight 6,\nan edge between node 1 and node 10 with weight 7,\nan edge between node 1 and node 5 with weight 1,\nan edge between node 7 and node 1 with weight 5,\nan edge between node 8 and node 2 with weight 10,\nan edge between node 2 and node 4 with weight 10,\nan edge between node 3 and node 6 with weight 3,\nan edge between node 9 and node 3 with weight 4,\nan edge between node 3 and node 7 with weight 6,\nan edge between node 4 and node 6 with weight 8,\nan edge between node 9 and node 5 with weight 10,\nan edge between node 11 and node 5 with weight 1,\nan edge between node 10 and node 6 with weight 9,\nan edge between node 6 and node 7 with weight 2,\nan edge between node 8 and node 10 with weight 7,\nQ: Give the shortest path from node 11 to node 2:"
            },
            {
                "from": "gpt",
                "value": "11->5->1->3->6->0->2."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph419",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge between node 0 and node 7 with weight 1,\nan edge between node 8 and node 0 with weight 2,\nan edge between node 0 and node 5 with weight 5,\nan edge between node 10 and node 1 with weight 3,\nan edge between node 2 and node 10 with weight 2,\nan edge between node 9 and node 2 with weight 7,\nan edge between node 2 and node 7 with weight 6,\nan edge between node 3 and node 7 with weight 3,\nan edge between node 4 and node 12 with weight 10,\nan edge between node 4 and node 8 with weight 9,\nan edge between node 7 and node 5 with weight 5,\nan edge between node 6 and node 5 with weight 6,\nan edge between node 6 and node 10 with weight 8,\nan edge between node 12 and node 6 with weight 5,\nan edge between node 11 and node 6 with weight 5,\nan edge between node 7 and node 11 with weight 1,\nan edge between node 11 and node 12 with weight 9,\nan edge between node 11 and node 13 with weight 2,\nan edge between node 12 and node 13 with weight 10,\nQ: Give the shortest path from node 4 to node 9:"
            },
            {
                "from": "gpt",
                "value": "4->8->0->7->2->9."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1047",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge between node 16 and node 0 with weight 10,\nan edge between node 0 and node 4 with weight 8,\nan edge between node 1 and node 0 with weight 6,\nan edge between node 0 and node 2 with weight 7,\nan edge between node 0 and node 8 with weight 9,\nan edge between node 0 and node 12 with weight 4,\nan edge between node 0 and node 3 with weight 7,\nan edge between node 1 and node 11 with weight 2,\nan edge between node 1 and node 13 with weight 1,\nan edge between node 1 and node 7 with weight 8,\nan edge between node 16 and node 1 with weight 1,\nan edge between node 1 and node 17 with weight 7,\nan edge between node 1 and node 8 with weight 1,\nan edge between node 1 and node 12 with weight 3,\nan edge between node 2 and node 7 with weight 7,\nan edge between node 17 and node 2 with weight 3,\nan edge between node 15 and node 2 with weight 1,\nan edge between node 8 and node 2 with weight 1,\nan edge between node 13 and node 3 with weight 7,\nan edge between node 3 and node 10 with weight 3,\nan edge between node 3 and node 8 with weight 3,\nan edge between node 4 and node 18 with weight 9,\nan edge between node 4 and node 15 with weight 7,\nan edge between node 4 and node 9 with weight 5,\nan edge between node 5 and node 13 with weight 1,\nan edge between node 5 and node 10 with weight 3,\nan edge between node 9 and node 5 with weight 7,\nan edge between node 8 and node 5 with weight 1,\nan edge between node 12 and node 5 with weight 5,\nan edge between node 6 and node 14 with weight 5,\nan edge between node 15 and node 7 with weight 9,\nan edge between node 16 and node 8 with weight 10,\nan edge between node 8 and node 10 with weight 8,\nan edge between node 8 and node 9 with weight 6,\nan edge between node 11 and node 9 with weight 7,\nan edge between node 17 and node 10 with weight 2,\nan edge between node 15 and node 10 with weight 7,\nan edge between node 16 and node 11 with weight 8,\nan edge between node 11 and node 17 with weight 1,\nan edge between node 14 and node 11 with weight 7,\nan edge between node 17 and node 13 with weight 6,\nan edge between node 18 and node 13 with weight 3,\nQ: Give the shortest path from node 6 to node 5:"
            },
            {
                "from": "gpt",
                "value": "6->14->11->1->13->5."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph507",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge between node 11 and node 0 with weight 9,\nan edge between node 7 and node 1 with weight 2,\nan edge between node 10 and node 2 with weight 8,\nan edge between node 7 and node 2 with weight 6,\nan edge between node 2 and node 13 with weight 2,\nan edge between node 7 and node 3 with weight 7,\nan edge between node 14 and node 3 with weight 6,\nan edge between node 4 and node 7 with weight 1,\nan edge between node 4 and node 14 with weight 3,\nan edge between node 4 and node 8 with weight 4,\nan edge between node 6 and node 5 with weight 4,\nan edge between node 8 and node 5 with weight 1,\nan edge between node 5 and node 9 with weight 6,\nan edge between node 10 and node 6 with weight 4,\nan edge between node 6 and node 13 with weight 5,\nan edge between node 11 and node 7 with weight 1,\nan edge between node 12 and node 9 with weight 1,\nan edge between node 11 and node 10 with weight 3,\nan edge between node 13 and node 12 with weight 10,\nQ: Give the shortest path from node 7 to node 9:"
            },
            {
                "from": "gpt",
                "value": "7->4->8->5->9."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph620",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge between node 13 and node 0 with weight 9,\nan edge between node 4 and node 0 with weight 5,\nan edge between node 12 and node 0 with weight 5,\nan edge between node 0 and node 1 with weight 5,\nan edge between node 0 and node 10 with weight 3,\nan edge between node 5 and node 1 with weight 6,\nan edge between node 9 and node 1 with weight 1,\nan edge between node 2 and node 12 with weight 7,\nan edge between node 14 and node 2 with weight 2,\nan edge between node 10 and node 2 with weight 5,\nan edge between node 3 and node 15 with weight 9,\nan edge between node 3 and node 8 with weight 8,\nan edge between node 3 and node 10 with weight 9,\nan edge between node 4 and node 6 with weight 7,\nan edge between node 4 and node 5 with weight 4,\nan edge between node 5 and node 7 with weight 1,\nan edge between node 6 and node 8 with weight 9,\nan edge between node 7 and node 12 with weight 10,\nan edge between node 12 and node 8 with weight 4,\nan edge between node 14 and node 9 with weight 5,\nan edge between node 10 and node 9 with weight 7,\nan edge between node 10 and node 15 with weight 10,\nan edge between node 14 and node 10 with weight 6,\nan edge between node 14 and node 11 with weight 9,\nan edge between node 14 and node 13 with weight 6,\nQ: Give the shortest path from node 0 to node 11:"
            },
            {
                "from": "gpt",
                "value": "0->10->14->11."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph517",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge between node 5 and node 0 with weight 5,\nan edge between node 0 and node 12 with weight 9,\nan edge between node 1 and node 8 with weight 2,\nan edge between node 13 and node 1 with weight 2,\nan edge between node 1 and node 3 with weight 9,\nan edge between node 2 and node 10 with weight 6,\nan edge between node 11 and node 3 with weight 2,\nan edge between node 3 and node 14 with weight 9,\nan edge between node 3 and node 9 with weight 10,\nan edge between node 11 and node 4 with weight 5,\nan edge between node 4 and node 7 with weight 7,\nan edge between node 4 and node 9 with weight 6,\nan edge between node 11 and node 5 with weight 6,\nan edge between node 9 and node 5 with weight 6,\nan edge between node 6 and node 8 with weight 1,\nan edge between node 6 and node 14 with weight 5,\nan edge between node 10 and node 8 with weight 10,\nan edge between node 13 and node 8 with weight 5,\nan edge between node 8 and node 9 with weight 10,\nan edge between node 11 and node 9 with weight 6,\nan edge between node 10 and node 11 with weight 5,\nQ: Give the shortest path from node 4 to node 14:"
            },
            {
                "from": "gpt",
                "value": "4->11->3->14."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1076",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge between node 0 and node 16 with weight 3,\nan edge between node 0 and node 13 with weight 7,\nan edge between node 4 and node 0 with weight 7,\nan edge between node 0 and node 11 with weight 5,\nan edge between node 1 and node 5 with weight 4,\nan edge between node 12 and node 1 with weight 6,\nan edge between node 14 and node 1 with weight 6,\nan edge between node 6 and node 1 with weight 5,\nan edge between node 16 and node 1 with weight 3,\nan edge between node 1 and node 13 with weight 9,\nan edge between node 17 and node 1 with weight 7,\nan edge between node 1 and node 11 with weight 9,\nan edge between node 2 and node 12 with weight 1,\nan edge between node 2 and node 9 with weight 4,\nan edge between node 2 and node 10 with weight 2,\nan edge between node 2 and node 3 with weight 8,\nan edge between node 3 and node 7 with weight 2,\nan edge between node 9 and node 3 with weight 4,\nan edge between node 3 and node 11 with weight 6,\nan edge between node 5 and node 4 with weight 1,\nan edge between node 4 and node 14 with weight 6,\nan edge between node 4 and node 8 with weight 10,\nan edge between node 4 and node 10 with weight 10,\nan edge between node 4 and node 13 with weight 9,\nan edge between node 5 and node 14 with weight 8,\nan edge between node 9 and node 5 with weight 7,\nan edge between node 5 and node 17 with weight 3,\nan edge between node 12 and node 6 with weight 6,\nan edge between node 7 and node 6 with weight 10,\nan edge between node 6 and node 15 with weight 5,\nan edge between node 7 and node 12 with weight 2,\nan edge between node 7 and node 18 with weight 7,\nan edge between node 7 and node 9 with weight 5,\nan edge between node 10 and node 7 with weight 2,\nan edge between node 16 and node 7 with weight 4,\nan edge between node 17 and node 7 with weight 6,\nan edge between node 12 and node 9 with weight 5,\nan edge between node 9 and node 17 with weight 4,\nan edge between node 14 and node 10 with weight 9,\nan edge between node 10 and node 17 with weight 5,\nan edge between node 14 and node 11 with weight 1,\nan edge between node 18 and node 11 with weight 5,\nan edge between node 16 and node 14 with weight 3,\nQ: Give the shortest path from node 3 to node 15:"
            },
            {
                "from": "gpt",
                "value": "3->7->12->6->15."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1145",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 0 and node 1 with weight 8,\nan edge between node 0 and node 11 with weight 8,\nan edge between node 8 and node 0 with weight 3,\nan edge between node 16 and node 0 with weight 8,\nan edge between node 5 and node 0 with weight 4,\nan edge between node 0 and node 19 with weight 6,\nan edge between node 13 and node 0 with weight 2,\nan edge between node 18 and node 0 with weight 7,\nan edge between node 0 and node 4 with weight 7,\nan edge between node 1 and node 9 with weight 2,\nan edge between node 3 and node 1 with weight 7,\nan edge between node 1 and node 11 with weight 9,\nan edge between node 1 and node 8 with weight 9,\nan edge between node 1 and node 15 with weight 5,\nan edge between node 1 and node 5 with weight 2,\nan edge between node 19 and node 1 with weight 5,\nan edge between node 13 and node 1 with weight 5,\nan edge between node 7 and node 1 with weight 9,\nan edge between node 2 and node 1 with weight 4,\nan edge between node 2 and node 12 with weight 10,\nan edge between node 3 and node 16 with weight 7,\nan edge between node 10 and node 3 with weight 3,\nan edge between node 3 and node 7 with weight 2,\nan edge between node 9 and node 4 with weight 3,\nan edge between node 8 and node 4 with weight 7,\nan edge between node 15 and node 4 with weight 3,\nan edge between node 17 and node 4 with weight 6,\nan edge between node 13 and node 4 with weight 1,\nan edge between node 5 and node 16 with weight 6,\nan edge between node 18 and node 5 with weight 5,\nan edge between node 6 and node 5 with weight 1,\nan edge between node 17 and node 6 with weight 1,\nan edge between node 10 and node 6 with weight 10,\nan edge between node 7 and node 9 with weight 9,\nan edge between node 11 and node 7 with weight 9,\nan edge between node 16 and node 7 with weight 7,\nan edge between node 7 and node 17 with weight 6,\nan edge between node 19 and node 7 with weight 7,\nan edge between node 13 and node 7 with weight 9,\nan edge between node 18 and node 7 with weight 9,\nan edge between node 8 and node 11 with weight 9,\nan edge between node 16 and node 9 with weight 5,\nan edge between node 12 and node 9 with weight 3,\nan edge between node 15 and node 10 with weight 6,\nan edge between node 16 and node 11 with weight 9,\nan edge between node 17 and node 11 with weight 6,\nan edge between node 11 and node 13 with weight 9,\nan edge between node 12 and node 14 with weight 6,\nan edge between node 13 and node 18 with weight 5,\nan edge between node 19 and node 16 with weight 3,\nQ: Give the shortest path from node 9 to node 10:"
            },
            {
                "from": "gpt",
                "value": "9->4->15->10."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph501",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge between node 12 and node 0 with weight 1,\nan edge between node 14 and node 0 with weight 10,\nan edge between node 0 and node 5 with weight 6,\nan edge between node 11 and node 0 with weight 9,\nan edge between node 6 and node 1 with weight 2,\nan edge between node 2 and node 7 with weight 7,\nan edge between node 5 and node 2 with weight 7,\nan edge between node 4 and node 2 with weight 9,\nan edge between node 3 and node 2 with weight 9,\nan edge between node 8 and node 2 with weight 2,\nan edge between node 7 and node 3 with weight 8,\nan edge between node 12 and node 4 with weight 6,\nan edge between node 6 and node 4 with weight 5,\nan edge between node 13 and node 5 with weight 3,\nan edge between node 5 and node 8 with weight 8,\nan edge between node 9 and node 8 with weight 5,\nan edge between node 9 and node 12 with weight 3,\nan edge between node 10 and node 14 with weight 5,\nan edge between node 11 and node 14 with weight 9,\nan edge between node 12 and node 14 with weight 10,\nan edge between node 14 and node 13 with weight 7,\nQ: Give the shortest path from node 3 to node 10:"
            },
            {
                "from": "gpt",
                "value": "3->2->5->13->14->10."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph444",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge between node 10 and node 0 with weight 10,\nan edge between node 4 and node 1 with weight 6,\nan edge between node 1 and node 11 with weight 3,\nan edge between node 3 and node 1 with weight 1,\nan edge between node 8 and node 1 with weight 7,\nan edge between node 1 and node 13 with weight 7,\nan edge between node 8 and node 2 with weight 10,\nan edge between node 3 and node 7 with weight 6,\nan edge between node 5 and node 4 with weight 2,\nan edge between node 11 and node 4 with weight 2,\nan edge between node 5 and node 11 with weight 5,\nan edge between node 5 and node 6 with weight 2,\nan edge between node 6 and node 7 with weight 8,\nan edge between node 12 and node 7 with weight 9,\nan edge between node 9 and node 7 with weight 9,\nan edge between node 13 and node 7 with weight 9,\nan edge between node 11 and node 9 with weight 7,\nan edge between node 9 and node 12 with weight 6,\nan edge between node 10 and node 11 with weight 7,\nan edge between node 12 and node 10 with weight 9,\nan edge between node 10 and node 13 with weight 6,\nan edge between node 13 and node 12 with weight 3,\nQ: Give the shortest path from node 0 to node 2:"
            },
            {
                "from": "gpt",
                "value": "0->10->11->1->8->2."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph5",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 0 and node 4 with weight 1,\nan edge between node 1 and node 3 with weight 4,\nan edge between node 6 and node 2 with weight 9,\nan edge between node 2 and node 9 with weight 1,\nan edge between node 3 and node 4 with weight 7,\nan edge between node 3 and node 8 with weight 10,\nan edge between node 3 and node 9 with weight 7,\nan edge between node 10 and node 4 with weight 2,\nan edge between node 10 and node 5 with weight 4,\nan edge between node 9 and node 5 with weight 10,\nan edge between node 7 and node 8 with weight 6,\nQ: Give the shortest path from node 1 to node 6:"
            },
            {
                "from": "gpt",
                "value": "1->3->9->2->6."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph457",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge between node 3 and node 0 with weight 2,\nan edge between node 10 and node 1 with weight 1,\nan edge between node 1 and node 6 with weight 6,\nan edge between node 1 and node 7 with weight 8,\nan edge between node 5 and node 2 with weight 6,\nan edge between node 12 and node 3 with weight 10,\nan edge between node 4 and node 11 with weight 2,\nan edge between node 4 and node 10 with weight 5,\nan edge between node 4 and node 5 with weight 10,\nan edge between node 6 and node 5 with weight 9,\nan edge between node 13 and node 5 with weight 5,\nan edge between node 5 and node 9 with weight 6,\nan edge between node 7 and node 10 with weight 4,\nan edge between node 8 and node 12 with weight 10,\nan edge between node 8 and node 13 with weight 5,\nan edge between node 9 and node 8 with weight 8,\nan edge between node 11 and node 9 with weight 3,\nan edge between node 9 and node 13 with weight 10,\nan edge between node 10 and node 13 with weight 9,\nan edge between node 13 and node 11 with weight 3,\nQ: Give the shortest path from node 5 to node 0:"
            },
            {
                "from": "gpt",
                "value": "5->13->8->12->3->0."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1049",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge between node 11 and node 0 with weight 4,\nan edge between node 0 and node 1 with weight 1,\nan edge between node 6 and node 0 with weight 2,\nan edge between node 4 and node 0 with weight 5,\nan edge between node 16 and node 0 with weight 9,\nan edge between node 0 and node 5 with weight 9,\nan edge between node 0 and node 18 with weight 2,\nan edge between node 1 and node 2 with weight 3,\nan edge between node 3 and node 1 with weight 2,\nan edge between node 6 and node 1 with weight 5,\nan edge between node 1 and node 9 with weight 8,\nan edge between node 1 and node 8 with weight 3,\nan edge between node 14 and node 1 with weight 4,\nan edge between node 18 and node 1 with weight 4,\nan edge between node 1 and node 17 with weight 7,\nan edge between node 1 and node 15 with weight 7,\nan edge between node 7 and node 2 with weight 1,\nan edge between node 2 and node 8 with weight 7,\nan edge between node 2 and node 14 with weight 2,\nan edge between node 18 and node 2 with weight 8,\nan edge between node 11 and node 3 with weight 10,\nan edge between node 4 and node 3 with weight 4,\nan edge between node 5 and node 3 with weight 2,\nan edge between node 11 and node 4 with weight 10,\nan edge between node 5 and node 4 with weight 6,\nan edge between node 5 and node 6 with weight 4,\nan edge between node 8 and node 5 with weight 5,\nan edge between node 16 and node 5 with weight 9,\nan edge between node 9 and node 6 with weight 1,\nan edge between node 6 and node 16 with weight 1,\nan edge between node 7 and node 8 with weight 1,\nan edge between node 7 and node 16 with weight 1,\nan edge between node 7 and node 10 with weight 6,\nan edge between node 18 and node 7 with weight 1,\nan edge between node 15 and node 7 with weight 7,\nan edge between node 11 and node 8 with weight 4,\nan edge between node 17 and node 8 with weight 2,\nan edge between node 8 and node 15 with weight 1,\nan edge between node 9 and node 11 with weight 8,\nan edge between node 9 and node 12 with weight 6,\nan edge between node 10 and node 11 with weight 6,\nan edge between node 16 and node 10 with weight 9,\nan edge between node 10 and node 12 with weight 6,\nan edge between node 13 and node 18 with weight 5,\nan edge between node 14 and node 16 with weight 3,\nan edge between node 14 and node 18 with weight 2,\nan edge between node 17 and node 15 with weight 8,\nan edge between node 17 and node 16 with weight 7,\nQ: Give the shortest path from node 13 to node 12:"
            },
            {
                "from": "gpt",
                "value": "13->18->7->16->6->9->12."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1136",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 0 and node 16 with weight 9,\nan edge between node 6 and node 0 with weight 9,\nan edge between node 8 and node 1 with weight 5,\nan edge between node 17 and node 1 with weight 3,\nan edge between node 5 and node 1 with weight 3,\nan edge between node 1 and node 3 with weight 9,\nan edge between node 19 and node 2 with weight 7,\nan edge between node 3 and node 19 with weight 5,\nan edge between node 8 and node 4 with weight 9,\nan edge between node 11 and node 4 with weight 1,\nan edge between node 4 and node 16 with weight 3,\nan edge between node 13 and node 4 with weight 5,\nan edge between node 5 and node 11 with weight 5,\nan edge between node 7 and node 5 with weight 10,\nan edge between node 5 and node 10 with weight 3,\nan edge between node 6 and node 5 with weight 4,\nan edge between node 6 and node 15 with weight 2,\nan edge between node 6 and node 16 with weight 2,\nan edge between node 8 and node 7 with weight 2,\nan edge between node 18 and node 7 with weight 3,\nan edge between node 7 and node 9 with weight 8,\nan edge between node 7 and node 14 with weight 2,\nan edge between node 7 and node 10 with weight 10,\nan edge between node 18 and node 8 with weight 3,\nan edge between node 8 and node 16 with weight 5,\nan edge between node 9 and node 12 with weight 8,\nan edge between node 9 and node 18 with weight 7,\nan edge between node 11 and node 9 with weight 7,\nan edge between node 9 and node 10 with weight 9,\nan edge between node 9 and node 13 with weight 4,\nan edge between node 10 and node 15 with weight 3,\nan edge between node 18 and node 10 with weight 10,\nan edge between node 10 and node 19 with weight 5,\nan edge between node 11 and node 17 with weight 1,\nan edge between node 17 and node 12 with weight 8,\nan edge between node 19 and node 12 with weight 5,\nan edge between node 13 and node 18 with weight 2,\nan edge between node 18 and node 16 with weight 6,\nan edge between node 17 and node 18 with weight 3,\nQ: Give the shortest path from node 9 to node 8:"
            },
            {
                "from": "gpt",
                "value": "9->13->18->8."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph260",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge between node 0 and node 9 with weight 5,\nan edge between node 0 and node 2 with weight 5,\nan edge between node 0 and node 6 with weight 3,\nan edge between node 7 and node 1 with weight 1,\nan edge between node 6 and node 1 with weight 4,\nan edge between node 3 and node 2 with weight 1,\nan edge between node 2 and node 8 with weight 5,\nan edge between node 9 and node 2 with weight 2,\nan edge between node 6 and node 2 with weight 6,\nan edge between node 12 and node 3 with weight 3,\nan edge between node 6 and node 4 with weight 4,\nan edge between node 11 and node 4 with weight 4,\nan edge between node 5 and node 6 with weight 1,\nan edge between node 6 and node 10 with weight 9,\nan edge between node 7 and node 10 with weight 7,\nan edge between node 7 and node 12 with weight 8,\nan edge between node 9 and node 8 with weight 1,\nQ: Give the shortest path from node 2 to node 11:"
            },
            {
                "from": "gpt",
                "value": "2->6->4->11."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph362",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge between node 7 and node 0 with weight 5,\nan edge between node 0 and node 3 with weight 9,\nan edge between node 13 and node 1 with weight 6,\nan edge between node 7 and node 1 with weight 10,\nan edge between node 13 and node 2 with weight 8,\nan edge between node 13 and node 3 with weight 10,\nan edge between node 3 and node 10 with weight 6,\nan edge between node 3 and node 12 with weight 9,\nan edge between node 10 and node 4 with weight 9,\nan edge between node 5 and node 11 with weight 10,\nan edge between node 10 and node 5 with weight 9,\nan edge between node 12 and node 5 with weight 6,\nan edge between node 9 and node 6 with weight 2,\nan edge between node 13 and node 7 with weight 4,\nan edge between node 7 and node 9 with weight 6,\nan edge between node 11 and node 8 with weight 10,\nan edge between node 8 and node 13 with weight 4,\nan edge between node 13 and node 11 with weight 8,\nan edge between node 11 and node 12 with weight 5,\nQ: Give the shortest path from node 6 to node 4:"
            },
            {
                "from": "gpt",
                "value": "6->9->7->13->3->10->4."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph569",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge between node 1 and node 0 with weight 7,\nan edge between node 12 and node 1 with weight 8,\nan edge between node 10 and node 1 with weight 5,\nan edge between node 6 and node 2 with weight 6,\nan edge between node 2 and node 8 with weight 6,\nan edge between node 5 and node 2 with weight 10,\nan edge between node 3 and node 9 with weight 9,\nan edge between node 4 and node 7 with weight 10,\nan edge between node 4 and node 5 with weight 6,\nan edge between node 5 and node 6 with weight 1,\nan edge between node 7 and node 5 with weight 2,\nan edge between node 14 and node 6 with weight 3,\nan edge between node 6 and node 12 with weight 5,\nan edge between node 6 and node 7 with weight 1,\nan edge between node 14 and node 7 with weight 10,\nan edge between node 7 and node 9 with weight 1,\nan edge between node 7 and node 10 with weight 1,\nan edge between node 8 and node 13 with weight 3,\nan edge between node 9 and node 12 with weight 3,\nan edge between node 12 and node 10 with weight 1,\nan edge between node 11 and node 10 with weight 3,\nQ: Give the shortest path from node 0 to node 13:"
            },
            {
                "from": "gpt",
                "value": "0->1->10->7->6->2->8->13."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph155",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge between node 10 and node 0 with weight 3,\nan edge between node 0 and node 8 with weight 5,\nan edge between node 0 and node 3 with weight 3,\nan edge between node 7 and node 0 with weight 3,\nan edge between node 0 and node 11 with weight 1,\nan edge between node 4 and node 0 with weight 9,\nan edge between node 10 and node 1 with weight 10,\nan edge between node 5 and node 2 with weight 7,\nan edge between node 8 and node 2 with weight 4,\nan edge between node 3 and node 10 with weight 9,\nan edge between node 3 and node 9 with weight 6,\nan edge between node 3 and node 11 with weight 4,\nan edge between node 4 and node 3 with weight 2,\nan edge between node 4 and node 8 with weight 7,\nan edge between node 5 and node 7 with weight 2,\nan edge between node 5 and node 11 with weight 6,\nan edge between node 10 and node 6 with weight 4,\nan edge between node 11 and node 9 with weight 8,\nQ: Give the shortest path from node 6 to node 2:"
            },
            {
                "from": "gpt",
                "value": "6->10->0->8->2."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph279",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge between node 0 and node 7 with weight 8,\nan edge between node 0 and node 6 with weight 1,\nan edge between node 0 and node 2 with weight 5,\nan edge between node 0 and node 11 with weight 9,\nan edge between node 0 and node 10 with weight 8,\nan edge between node 11 and node 1 with weight 9,\nan edge between node 2 and node 8 with weight 6,\nan edge between node 3 and node 6 with weight 10,\nan edge between node 4 and node 3 with weight 10,\nan edge between node 10 and node 3 with weight 5,\nan edge between node 4 and node 12 with weight 2,\nan edge between node 4 and node 10 with weight 5,\nan edge between node 5 and node 7 with weight 1,\nan edge between node 8 and node 7 with weight 8,\nan edge between node 7 and node 11 with weight 10,\nan edge between node 12 and node 7 with weight 8,\nan edge between node 8 and node 12 with weight 3,\nan edge between node 8 and node 9 with weight 9,\nan edge between node 8 and node 10 with weight 8,\nQ: Give the shortest path from node 0 to node 9:"
            },
            {
                "from": "gpt",
                "value": "0->2->8->9."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph814",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 0 and node 1 with weight 9,\nan edge between node 14 and node 0 with weight 5,\nan edge between node 0 and node 16 with weight 4,\nan edge between node 12 and node 0 with weight 7,\nan edge between node 13 and node 0 with weight 8,\nan edge between node 4 and node 1 with weight 1,\nan edge between node 1 and node 13 with weight 2,\nan edge between node 2 and node 14 with weight 4,\nan edge between node 9 and node 2 with weight 8,\nan edge between node 6 and node 2 with weight 10,\nan edge between node 5 and node 2 with weight 6,\nan edge between node 2 and node 11 with weight 5,\nan edge between node 8 and node 2 with weight 9,\nan edge between node 5 and node 3 with weight 8,\nan edge between node 3 and node 10 with weight 3,\nan edge between node 15 and node 3 with weight 6,\nan edge between node 13 and node 3 with weight 8,\nan edge between node 16 and node 4 with weight 1,\nan edge between node 4 and node 7 with weight 7,\nan edge between node 13 and node 4 with weight 10,\nan edge between node 5 and node 9 with weight 9,\nan edge between node 5 and node 16 with weight 6,\nan edge between node 5 and node 6 with weight 6,\nan edge between node 8 and node 5 with weight 8,\nan edge between node 12 and node 6 with weight 8,\nan edge between node 11 and node 6 with weight 7,\nan edge between node 7 and node 10 with weight 2,\nan edge between node 7 and node 15 with weight 2,\nan edge between node 8 and node 12 with weight 4,\nan edge between node 15 and node 8 with weight 1,\nan edge between node 12 and node 9 with weight 9,\nan edge between node 9 and node 15 with weight 3,\nan edge between node 9 and node 11 with weight 6,\nan edge between node 15 and node 10 with weight 1,\nan edge between node 11 and node 10 with weight 10,\nan edge between node 14 and node 15 with weight 1,\nQ: Give the shortest path from node 11 to node 1:"
            },
            {
                "from": "gpt",
                "value": "11->9->15->7->4->1."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1006",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge between node 12 and node 0 with weight 10,\nan edge between node 15 and node 0 with weight 6,\nan edge between node 0 and node 18 with weight 2,\nan edge between node 5 and node 0 with weight 3,\nan edge between node 14 and node 1 with weight 8,\nan edge between node 9 and node 1 with weight 8,\nan edge between node 2 and node 10 with weight 2,\nan edge between node 9 and node 2 with weight 9,\nan edge between node 2 and node 17 with weight 1,\nan edge between node 2 and node 3 with weight 7,\nan edge between node 13 and node 3 with weight 7,\nan edge between node 3 and node 8 with weight 4,\nan edge between node 3 and node 15 with weight 6,\nan edge between node 18 and node 3 with weight 8,\nan edge between node 4 and node 15 with weight 2,\nan edge between node 5 and node 14 with weight 8,\nan edge between node 5 and node 10 with weight 8,\nan edge between node 5 and node 9 with weight 10,\nan edge between node 5 and node 18 with weight 3,\nan edge between node 6 and node 8 with weight 2,\nan edge between node 14 and node 6 with weight 3,\nan edge between node 10 and node 6 with weight 9,\nan edge between node 15 and node 6 with weight 9,\nan edge between node 9 and node 6 with weight 7,\nan edge between node 16 and node 6 with weight 9,\nan edge between node 11 and node 7 with weight 3,\nan edge between node 7 and node 9 with weight 9,\nan edge between node 8 and node 14 with weight 2,\nan edge between node 16 and node 10 with weight 6,\nan edge between node 11 and node 13 with weight 10,\nan edge between node 14 and node 11 with weight 9,\nan edge between node 17 and node 12 with weight 3,\nan edge between node 18 and node 12 with weight 5,\nan edge between node 15 and node 13 with weight 9,\nan edge between node 15 and node 16 with weight 6,\nQ: Give the shortest path from node 12 to node 11:"
            },
            {
                "from": "gpt",
                "value": "12->18->5->14->11."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph579",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge between node 12 and node 0 with weight 6,\nan edge between node 0 and node 5 with weight 1,\nan edge between node 0 and node 2 with weight 3,\nan edge between node 0 and node 14 with weight 6,\nan edge between node 8 and node 0 with weight 10,\nan edge between node 5 and node 1 with weight 3,\nan edge between node 1 and node 3 with weight 5,\nan edge between node 1 and node 14 with weight 6,\nan edge between node 1 and node 7 with weight 1,\nan edge between node 8 and node 1 with weight 8,\nan edge between node 1 and node 10 with weight 6,\nan edge between node 9 and node 2 with weight 1,\nan edge between node 2 and node 8 with weight 10,\nan edge between node 3 and node 6 with weight 8,\nan edge between node 4 and node 12 with weight 8,\nan edge between node 9 and node 4 with weight 8,\nan edge between node 5 and node 9 with weight 7,\nan edge between node 7 and node 5 with weight 8,\nan edge between node 11 and node 5 with weight 7,\nan edge between node 5 and node 6 with weight 2,\nan edge between node 6 and node 7 with weight 9,\nan edge between node 10 and node 6 with weight 10,\nan edge between node 6 and node 11 with weight 6,\nan edge between node 14 and node 7 with weight 6,\nan edge between node 9 and node 14 with weight 8,\nan edge between node 13 and node 12 with weight 7,\nQ: Give the shortest path from node 3 to node 13:"
            },
            {
                "from": "gpt",
                "value": "3->1->5->0->12->13."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph564",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge between node 1 and node 0 with weight 7,\nan edge between node 12 and node 1 with weight 4,\nan edge between node 1 and node 9 with weight 2,\nan edge between node 1 and node 6 with weight 7,\nan edge between node 4 and node 1 with weight 4,\nan edge between node 3 and node 1 with weight 7,\nan edge between node 2 and node 12 with weight 1,\nan edge between node 9 and node 2 with weight 4,\nan edge between node 2 and node 7 with weight 9,\nan edge between node 5 and node 2 with weight 10,\nan edge between node 9 and node 3 with weight 8,\nan edge between node 4 and node 12 with weight 4,\nan edge between node 6 and node 4 with weight 10,\nan edge between node 4 and node 5 with weight 6,\nan edge between node 8 and node 4 with weight 7,\nan edge between node 4 and node 10 with weight 9,\nan edge between node 7 and node 5 with weight 5,\nan edge between node 13 and node 5 with weight 9,\nan edge between node 10 and node 5 with weight 9,\nan edge between node 5 and node 11 with weight 2,\nan edge between node 6 and node 14 with weight 3,\nan edge between node 13 and node 6 with weight 5,\nan edge between node 7 and node 9 with weight 3,\nan edge between node 8 and node 14 with weight 4,\nan edge between node 8 and node 13 with weight 5,\nan edge between node 8 and node 10 with weight 9,\nan edge between node 11 and node 8 with weight 10,\nan edge between node 10 and node 12 with weight 9,\nan edge between node 11 and node 12 with weight 5,\nan edge between node 12 and node 13 with weight 4,\nQ: Give the shortest path from node 4 to node 2:"
            },
            {
                "from": "gpt",
                "value": "4->12->2."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph931",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge between node 0 and node 17 with weight 10,\nan edge between node 0 and node 9 with weight 5,\nan edge between node 3 and node 0 with weight 7,\nan edge between node 0 and node 8 with weight 10,\nan edge between node 0 and node 2 with weight 1,\nan edge between node 17 and node 1 with weight 2,\nan edge between node 1 and node 9 with weight 4,\nan edge between node 1 and node 10 with weight 5,\nan edge between node 2 and node 1 with weight 9,\nan edge between node 2 and node 3 with weight 5,\nan edge between node 12 and node 2 with weight 2,\nan edge between node 11 and node 2 with weight 10,\nan edge between node 5 and node 2 with weight 1,\nan edge between node 3 and node 17 with weight 3,\nan edge between node 11 and node 3 with weight 8,\nan edge between node 3 and node 6 with weight 8,\nan edge between node 17 and node 4 with weight 5,\nan edge between node 9 and node 4 with weight 8,\nan edge between node 14 and node 4 with weight 1,\nan edge between node 4 and node 15 with weight 10,\nan edge between node 4 and node 6 with weight 7,\nan edge between node 7 and node 4 with weight 4,\nan edge between node 13 and node 5 with weight 9,\nan edge between node 5 and node 16 with weight 1,\nan edge between node 12 and node 5 with weight 3,\nan edge between node 7 and node 5 with weight 1,\nan edge between node 6 and node 16 with weight 6,\nan edge between node 8 and node 6 with weight 6,\nan edge between node 6 and node 12 with weight 9,\nan edge between node 11 and node 6 with weight 9,\nan edge between node 7 and node 13 with weight 1,\nan edge between node 7 and node 11 with weight 8,\nan edge between node 10 and node 8 with weight 2,\nan edge between node 17 and node 10 with weight 1,\nan edge between node 10 and node 16 with weight 8,\nan edge between node 11 and node 17 with weight 5,\nan edge between node 11 and node 16 with weight 5,\nan edge between node 14 and node 11 with weight 9,\nan edge between node 15 and node 11 with weight 5,\nan edge between node 17 and node 13 with weight 1,\nan edge between node 16 and node 13 with weight 7,\nan edge between node 17 and node 14 with weight 9,\nQ: Give the shortest path from node 10 to node 15:"
            },
            {
                "from": "gpt",
                "value": "10->17->11->15."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph821",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 6 and node 0 with weight 9,\nan edge between node 15 and node 0 with weight 3,\nan edge between node 0 and node 10 with weight 2,\nan edge between node 0 and node 5 with weight 10,\nan edge between node 6 and node 1 with weight 10,\nan edge between node 4 and node 1 with weight 10,\nan edge between node 1 and node 5 with weight 9,\nan edge between node 6 and node 2 with weight 2,\nan edge between node 13 and node 2 with weight 6,\nan edge between node 2 and node 16 with weight 2,\nan edge between node 2 and node 12 with weight 2,\nan edge between node 11 and node 2 with weight 3,\nan edge between node 2 and node 5 with weight 1,\nan edge between node 3 and node 4 with weight 1,\nan edge between node 3 and node 8 with weight 3,\nan edge between node 14 and node 3 with weight 7,\nan edge between node 4 and node 7 with weight 6,\nan edge between node 6 and node 5 with weight 6,\nan edge between node 5 and node 16 with weight 6,\nan edge between node 6 and node 12 with weight 10,\nan edge between node 6 and node 15 with weight 1,\nan edge between node 10 and node 7 with weight 3,\nan edge between node 8 and node 12 with weight 1,\nan edge between node 10 and node 8 with weight 5,\nan edge between node 9 and node 16 with weight 4,\nan edge between node 10 and node 12 with weight 1,\nan edge between node 10 and node 11 with weight 1,\nan edge between node 15 and node 11 with weight 6,\nQ: Give the shortest path from node 9 to node 14:"
            },
            {
                "from": "gpt",
                "value": "9->16->2->12->8->3->14."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1117",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 0 and node 5 with weight 10,\nan edge between node 11 and node 0 with weight 8,\nan edge between node 0 and node 15 with weight 9,\nan edge between node 11 and node 1 with weight 10,\nan edge between node 19 and node 2 with weight 2,\nan edge between node 7 and node 2 with weight 1,\nan edge between node 2 and node 16 with weight 4,\nan edge between node 8 and node 3 with weight 3,\nan edge between node 16 and node 3 with weight 5,\nan edge between node 15 and node 3 with weight 9,\nan edge between node 5 and node 4 with weight 5,\nan edge between node 19 and node 4 with weight 2,\nan edge between node 4 and node 7 with weight 4,\nan edge between node 11 and node 4 with weight 2,\nan edge between node 8 and node 5 with weight 4,\nan edge between node 5 and node 17 with weight 9,\nan edge between node 5 and node 13 with weight 4,\nan edge between node 5 and node 12 with weight 4,\nan edge between node 6 and node 8 with weight 7,\nan edge between node 7 and node 6 with weight 2,\nan edge between node 11 and node 6 with weight 8,\nan edge between node 7 and node 14 with weight 3,\nan edge between node 10 and node 7 with weight 3,\nan edge between node 8 and node 14 with weight 7,\nan edge between node 16 and node 8 with weight 3,\nan edge between node 9 and node 10 with weight 1,\nan edge between node 10 and node 19 with weight 5,\nan edge between node 14 and node 10 with weight 9,\nan edge between node 18 and node 10 with weight 7,\nan edge between node 12 and node 18 with weight 10,\nan edge between node 19 and node 13 with weight 3,\nan edge between node 17 and node 13 with weight 5,\nan edge between node 15 and node 13 with weight 2,\nan edge between node 15 and node 14 with weight 7,\nan edge between node 17 and node 16 with weight 7,\nan edge between node 18 and node 16 with weight 2,\nQ: Give the shortest path from node 18 to node 1:"
            },
            {
                "from": "gpt",
                "value": "18->16->2->19->4->11->1."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph353",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge between node 5 and node 0 with weight 3,\nan edge between node 0 and node 10 with weight 6,\nan edge between node 1 and node 0 with weight 9,\nan edge between node 1 and node 6 with weight 4,\nan edge between node 5 and node 2 with weight 2,\nan edge between node 3 and node 5 with weight 7,\nan edge between node 10 and node 3 with weight 5,\nan edge between node 7 and node 4 with weight 8,\nan edge between node 4 and node 9 with weight 7,\nan edge between node 11 and node 4 with weight 6,\nan edge between node 5 and node 9 with weight 10,\nan edge between node 8 and node 6 with weight 7,\nan edge between node 6 and node 12 with weight 6,\nan edge between node 11 and node 6 with weight 9,\nan edge between node 10 and node 7 with weight 6,\nan edge between node 7 and node 12 with weight 1,\nan edge between node 7 and node 11 with weight 10,\nQ: Give the shortest path from node 8 to node 3:"
            },
            {
                "from": "gpt",
                "value": "8->6->12->7->10->3."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph72",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 0 and node 2 with weight 7,\nan edge between node 0 and node 1 with weight 9,\nan edge between node 2 and node 8 with weight 9,\nan edge between node 2 and node 10 with weight 3,\nan edge between node 5 and node 3 with weight 6,\nan edge between node 3 and node 6 with weight 8,\nan edge between node 4 and node 6 with weight 6,\nan edge between node 9 and node 4 with weight 9,\nan edge between node 10 and node 4 with weight 10,\nan edge between node 5 and node 7 with weight 8,\nan edge between node 6 and node 10 with weight 9,\nan edge between node 8 and node 10 with weight 7,\nQ: Give the shortest path from node 1 to node 7:"
            },
            {
                "from": "gpt",
                "value": "1->0->2->10->6->3->5->7."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph387",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge between node 12 and node 0 with weight 5,\nan edge between node 0 and node 10 with weight 2,\nan edge between node 0 and node 13 with weight 1,\nan edge between node 1 and node 3 with weight 5,\nan edge between node 7 and node 1 with weight 8,\nan edge between node 8 and node 1 with weight 2,\nan edge between node 10 and node 2 with weight 10,\nan edge between node 8 and node 2 with weight 9,\nan edge between node 6 and node 4 with weight 5,\nan edge between node 9 and node 4 with weight 1,\nan edge between node 4 and node 7 with weight 8,\nan edge between node 13 and node 5 with weight 2,\nan edge between node 5 and node 7 with weight 4,\nan edge between node 10 and node 6 with weight 5,\nan edge between node 6 and node 7 with weight 3,\nan edge between node 12 and node 8 with weight 2,\nan edge between node 10 and node 11 with weight 8,\nan edge between node 11 and node 12 with weight 9,\nQ: Give the shortest path from node 13 to node 9:"
            },
            {
                "from": "gpt",
                "value": "13->0->10->6->4->9."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph596",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge between node 0 and node 4 with weight 7,\nan edge between node 2 and node 0 with weight 2,\nan edge between node 1 and node 8 with weight 5,\nan edge between node 7 and node 1 with weight 8,\nan edge between node 5 and node 1 with weight 10,\nan edge between node 1 and node 3 with weight 4,\nan edge between node 10 and node 1 with weight 10,\nan edge between node 12 and node 2 with weight 3,\nan edge between node 2 and node 14 with weight 7,\nan edge between node 11 and node 2 with weight 4,\nan edge between node 3 and node 6 with weight 6,\nan edge between node 3 and node 14 with weight 6,\nan edge between node 3 and node 9 with weight 2,\nan edge between node 14 and node 4 with weight 1,\nan edge between node 5 and node 6 with weight 7,\nan edge between node 8 and node 5 with weight 5,\nan edge between node 5 and node 10 with weight 6,\nan edge between node 6 and node 8 with weight 8,\nan edge between node 9 and node 8 with weight 5,\nan edge between node 8 and node 11 with weight 4,\nan edge between node 13 and node 9 with weight 7,\nan edge between node 9 and node 11 with weight 1,\nan edge between node 11 and node 10 with weight 8,\nQ: Give the shortest path from node 7 to node 0:"
            },
            {
                "from": "gpt",
                "value": "7->1->3->9->11->2->0."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph54",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 2 and node 0 with weight 1,\nan edge between node 4 and node 0 with weight 7,\nan edge between node 0 and node 8 with weight 4,\nan edge between node 0 and node 7 with weight 2,\nan edge between node 4 and node 1 with weight 3,\nan edge between node 3 and node 1 with weight 5,\nan edge between node 7 and node 1 with weight 10,\nan edge between node 4 and node 2 with weight 1,\nan edge between node 2 and node 8 with weight 1,\nan edge between node 10 and node 2 with weight 2,\nan edge between node 2 and node 7 with weight 7,\nan edge between node 3 and node 9 with weight 4,\nan edge between node 3 and node 6 with weight 3,\nan edge between node 7 and node 4 with weight 1,\nan edge between node 5 and node 9 with weight 10,\nan edge between node 9 and node 6 with weight 2,\nan edge between node 6 and node 10 with weight 5,\nQ: Give the shortest path from node 10 to node 1:"
            },
            {
                "from": "gpt",
                "value": "10->2->4->1."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph719",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge between node 7 and node 0 with weight 4,\nan edge between node 1 and node 13 with weight 4,\nan edge between node 5 and node 1 with weight 10,\nan edge between node 11 and node 1 with weight 1,\nan edge between node 4 and node 2 with weight 7,\nan edge between node 10 and node 3 with weight 2,\nan edge between node 3 and node 8 with weight 6,\nan edge between node 4 and node 5 with weight 3,\nan edge between node 4 and node 10 with weight 8,\nan edge between node 4 and node 9 with weight 7,\nan edge between node 4 and node 12 with weight 6,\nan edge between node 13 and node 5 with weight 2,\nan edge between node 7 and node 5 with weight 4,\nan edge between node 7 and node 6 with weight 9,\nan edge between node 6 and node 11 with weight 3,\nan edge between node 9 and node 6 with weight 6,\nan edge between node 7 and node 12 with weight 5,\nan edge between node 8 and node 13 with weight 2,\nan edge between node 15 and node 8 with weight 3,\nan edge between node 8 and node 9 with weight 7,\nan edge between node 15 and node 9 with weight 1,\nan edge between node 9 and node 11 with weight 9,\nan edge between node 10 and node 13 with weight 4,\nan edge between node 15 and node 11 with weight 8,\nan edge between node 13 and node 12 with weight 3,\nan edge between node 13 and node 14 with weight 8,\nan edge between node 15 and node 14 with weight 10,\nQ: Give the shortest path from node 3 to node 0:"
            },
            {
                "from": "gpt",
                "value": "3->10->13->5->7->0."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph181",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge between node 0 and node 3 with weight 9,\nan edge between node 0 and node 9 with weight 1,\nan edge between node 0 and node 10 with weight 7,\nan edge between node 4 and node 0 with weight 9,\nan edge between node 2 and node 1 with weight 3,\nan edge between node 1 and node 7 with weight 3,\nan edge between node 3 and node 2 with weight 3,\nan edge between node 2 and node 9 with weight 6,\nan edge between node 10 and node 2 with weight 6,\nan edge between node 2 and node 7 with weight 7,\nan edge between node 8 and node 2 with weight 1,\nan edge between node 7 and node 3 with weight 7,\nan edge between node 9 and node 4 with weight 10,\nan edge between node 7 and node 5 with weight 2,\nan edge between node 5 and node 11 with weight 9,\nan edge between node 7 and node 6 with weight 6,\nan edge between node 7 and node 8 with weight 5,\nan edge between node 9 and node 11 with weight 7,\nQ: Give the shortest path from node 11 to node 10:"
            },
            {
                "from": "gpt",
                "value": "11->9->0->10."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph488",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge between node 0 and node 5 with weight 3,\nan edge between node 6 and node 0 with weight 5,\nan edge between node 1 and node 14 with weight 2,\nan edge between node 1 and node 2 with weight 1,\nan edge between node 1 and node 6 with weight 9,\nan edge between node 2 and node 8 with weight 2,\nan edge between node 2 and node 12 with weight 10,\nan edge between node 2 and node 7 with weight 3,\nan edge between node 3 and node 8 with weight 7,\nan edge between node 7 and node 3 with weight 9,\nan edge between node 4 and node 5 with weight 2,\nan edge between node 10 and node 4 with weight 8,\nan edge between node 4 and node 6 with weight 6,\nan edge between node 14 and node 5 with weight 6,\nan edge between node 11 and node 5 with weight 2,\nan edge between node 6 and node 12 with weight 2,\nan edge between node 7 and node 6 with weight 1,\nan edge between node 7 and node 9 with weight 2,\nan edge between node 13 and node 10 with weight 7,\nan edge between node 13 and node 11 with weight 3,\nan edge between node 14 and node 13 with weight 8,\nQ: Give the shortest path from node 13 to node 9:"
            },
            {
                "from": "gpt",
                "value": "13->14->1->2->7->9."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph758",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 0 and node 15 with weight 1,\nan edge between node 11 and node 0 with weight 9,\nan edge between node 1 and node 7 with weight 9,\nan edge between node 13 and node 1 with weight 1,\nan edge between node 5 and node 1 with weight 10,\nan edge between node 16 and node 1 with weight 4,\nan edge between node 1 and node 9 with weight 8,\nan edge between node 3 and node 1 with weight 9,\nan edge between node 7 and node 2 with weight 4,\nan edge between node 16 and node 2 with weight 1,\nan edge between node 6 and node 2 with weight 1,\nan edge between node 4 and node 5 with weight 7,\nan edge between node 16 and node 5 with weight 5,\nan edge between node 5 and node 6 with weight 3,\nan edge between node 5 and node 9 with weight 8,\nan edge between node 6 and node 8 with weight 4,\nan edge between node 15 and node 6 with weight 7,\nan edge between node 6 and node 14 with weight 4,\nan edge between node 8 and node 7 with weight 9,\nan edge between node 15 and node 7 with weight 1,\nan edge between node 11 and node 7 with weight 4,\nan edge between node 13 and node 8 with weight 9,\nan edge between node 12 and node 8 with weight 5,\nan edge between node 8 and node 14 with weight 1,\nan edge between node 12 and node 9 with weight 6,\nan edge between node 10 and node 16 with weight 1,\nan edge between node 14 and node 10 with weight 7,\nan edge between node 16 and node 12 with weight 10,\nan edge between node 16 and node 13 with weight 10,\nan edge between node 13 and node 15 with weight 3,\nan edge between node 15 and node 16 with weight 9,\nQ: Give the shortest path from node 8 to node 0:"
            },
            {
                "from": "gpt",
                "value": "8->7->15->0."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph521",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge between node 5 and node 0 with weight 10,\nan edge between node 8 and node 1 with weight 8,\nan edge between node 3 and node 1 with weight 2,\nan edge between node 8 and node 2 with weight 5,\nan edge between node 5 and node 2 with weight 6,\nan edge between node 10 and node 2 with weight 2,\nan edge between node 2 and node 12 with weight 6,\nan edge between node 3 and node 5 with weight 6,\nan edge between node 3 and node 13 with weight 7,\nan edge between node 7 and node 3 with weight 2,\nan edge between node 3 and node 9 with weight 6,\nan edge between node 4 and node 5 with weight 2,\nan edge between node 13 and node 4 with weight 9,\nan edge between node 9 and node 5 with weight 5,\nan edge between node 7 and node 6 with weight 6,\nan edge between node 8 and node 13 with weight 6,\nan edge between node 8 and node 9 with weight 5,\nan edge between node 11 and node 8 with weight 10,\nan edge between node 8 and node 12 with weight 2,\nan edge between node 9 and node 14 with weight 8,\nQ: Give the shortest path from node 10 to node 6:"
            },
            {
                "from": "gpt",
                "value": "10->2->5->3->7->6."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph974",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge between node 0 and node 15 with weight 6,\nan edge between node 0 and node 10 with weight 2,\nan edge between node 16 and node 0 with weight 10,\nan edge between node 14 and node 0 with weight 10,\nan edge between node 1 and node 12 with weight 7,\nan edge between node 5 and node 1 with weight 5,\nan edge between node 9 and node 1 with weight 1,\nan edge between node 1 and node 3 with weight 5,\nan edge between node 1 and node 4 with weight 2,\nan edge between node 2 and node 1 with weight 8,\nan edge between node 2 and node 15 with weight 8,\nan edge between node 10 and node 2 with weight 1,\nan edge between node 9 and node 2 with weight 2,\nan edge between node 2 and node 3 with weight 8,\nan edge between node 16 and node 2 with weight 9,\nan edge between node 3 and node 5 with weight 6,\nan edge between node 10 and node 3 with weight 6,\nan edge between node 3 and node 13 with weight 7,\nan edge between node 5 and node 4 with weight 1,\nan edge between node 4 and node 11 with weight 8,\nan edge between node 4 and node 7 with weight 4,\nan edge between node 6 and node 13 with weight 10,\nan edge between node 7 and node 12 with weight 3,\nan edge between node 17 and node 7 with weight 3,\nan edge between node 16 and node 7 with weight 9,\nan edge between node 8 and node 14 with weight 1,\nan edge between node 13 and node 9 with weight 4,\nan edge between node 9 and node 14 with weight 9,\nan edge between node 12 and node 10 with weight 1,\nan edge between node 10 and node 17 with weight 9,\nan edge between node 14 and node 10 with weight 1,\nan edge between node 11 and node 12 with weight 6,\nan edge between node 18 and node 12 with weight 10,\nan edge between node 17 and node 13 with weight 2,\nan edge between node 13 and node 14 with weight 9,\nan edge between node 18 and node 13 with weight 10,\nan edge between node 14 and node 17 with weight 4,\nan edge between node 16 and node 17 with weight 10,\nQ: Give the shortest path from node 16 to node 9:"
            },
            {
                "from": "gpt",
                "value": "16->2->9."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph254",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge between node 0 and node 12 with weight 1,\nan edge between node 2 and node 0 with weight 4,\nan edge between node 12 and node 1 with weight 8,\nan edge between node 1 and node 6 with weight 4,\nan edge between node 1 and node 9 with weight 10,\nan edge between node 5 and node 2 with weight 8,\nan edge between node 10 and node 2 with weight 6,\nan edge between node 3 and node 12 with weight 1,\nan edge between node 4 and node 6 with weight 8,\nan edge between node 11 and node 4 with weight 7,\nan edge between node 4 and node 7 with weight 6,\nan edge between node 9 and node 4 with weight 3,\nan edge between node 5 and node 8 with weight 2,\nan edge between node 10 and node 5 with weight 5,\nan edge between node 8 and node 6 with weight 8,\nan edge between node 11 and node 6 with weight 1,\nan edge between node 7 and node 12 with weight 3,\nan edge between node 11 and node 7 with weight 8,\nan edge between node 12 and node 11 with weight 1,\nQ: Give the shortest path from node 9 to node 10:"
            },
            {
                "from": "gpt",
                "value": "9->4->11->12->0->2->10."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1116",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 0 and node 6 with weight 8,\nan edge between node 18 and node 0 with weight 9,\nan edge between node 0 and node 9 with weight 6,\nan edge between node 10 and node 0 with weight 4,\nan edge between node 14 and node 1 with weight 10,\nan edge between node 1 and node 8 with weight 7,\nan edge between node 5 and node 2 with weight 7,\nan edge between node 2 and node 14 with weight 8,\nan edge between node 16 and node 2 with weight 1,\nan edge between node 3 and node 5 with weight 10,\nan edge between node 3 and node 7 with weight 8,\nan edge between node 4 and node 6 with weight 3,\nan edge between node 4 and node 19 with weight 4,\nan edge between node 4 and node 10 with weight 10,\nan edge between node 15 and node 6 with weight 8,\nan edge between node 17 and node 6 with weight 8,\nan edge between node 12 and node 6 with weight 7,\nan edge between node 7 and node 18 with weight 9,\nan edge between node 15 and node 7 with weight 7,\nan edge between node 7 and node 14 with weight 3,\nan edge between node 13 and node 8 with weight 10,\nan edge between node 11 and node 9 with weight 9,\nan edge between node 9 and node 16 with weight 5,\nan edge between node 12 and node 9 with weight 1,\nan edge between node 10 and node 11 with weight 7,\nan edge between node 12 and node 15 with weight 2,\nan edge between node 19 and node 12 with weight 5,\nan edge between node 13 and node 15 with weight 1,\nan edge between node 13 and node 17 with weight 2,\nan edge between node 16 and node 14 with weight 5,\nan edge between node 15 and node 19 with weight 6,\nan edge between node 16 and node 18 with weight 6,\nQ: Give the shortest path from node 10 to node 19:"
            },
            {
                "from": "gpt",
                "value": "10->4->19."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1199",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 0 and node 1 with weight 10,\nan edge between node 8 and node 0 with weight 10,\nan edge between node 0 and node 5 with weight 4,\nan edge between node 19 and node 1 with weight 5,\nan edge between node 15 and node 1 with weight 4,\nan edge between node 11 and node 1 with weight 7,\nan edge between node 1 and node 16 with weight 9,\nan edge between node 1 and node 13 with weight 2,\nan edge between node 2 and node 1 with weight 3,\nan edge between node 15 and node 2 with weight 7,\nan edge between node 2 and node 12 with weight 4,\nan edge between node 2 and node 17 with weight 8,\nan edge between node 2 and node 13 with weight 7,\nan edge between node 3 and node 7 with weight 5,\nan edge between node 4 and node 18 with weight 1,\nan edge between node 6 and node 4 with weight 4,\nan edge between node 18 and node 5 with weight 7,\nan edge between node 8 and node 5 with weight 8,\nan edge between node 7 and node 13 with weight 2,\nan edge between node 7 and node 10 with weight 8,\nan edge between node 8 and node 18 with weight 6,\nan edge between node 8 and node 15 with weight 1,\nan edge between node 8 and node 9 with weight 6,\nan edge between node 13 and node 8 with weight 4,\nan edge between node 8 and node 10 with weight 10,\nan edge between node 9 and node 15 with weight 2,\nan edge between node 9 and node 14 with weight 4,\nan edge between node 11 and node 9 with weight 1,\nan edge between node 12 and node 10 with weight 2,\nan edge between node 14 and node 10 with weight 1,\nan edge between node 10 and node 11 with weight 2,\nan edge between node 16 and node 10 with weight 8,\nan edge between node 18 and node 12 with weight 6,\nan edge between node 12 and node 17 with weight 5,\nan edge between node 19 and node 13 with weight 5,\nan edge between node 16 and node 13 with weight 6,\nan edge between node 17 and node 15 with weight 6,\nan edge between node 16 and node 19 with weight 1,\nan edge between node 17 and node 18 with weight 7,\nan edge between node 19 and node 17 with weight 6,\nQ: Give the shortest path from node 6 to node 3:"
            },
            {
                "from": "gpt",
                "value": "6->4->18->8->13->7->3."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph752",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 0 and node 12 with weight 10,\nan edge between node 10 and node 0 with weight 1,\nan edge between node 0 and node 11 with weight 7,\nan edge between node 13 and node 0 with weight 6,\nan edge between node 5 and node 1 with weight 8,\nan edge between node 1 and node 2 with weight 9,\nan edge between node 6 and node 1 with weight 10,\nan edge between node 12 and node 2 with weight 7,\nan edge between node 2 and node 10 with weight 6,\nan edge between node 2 and node 11 with weight 9,\nan edge between node 15 and node 3 with weight 9,\nan edge between node 15 and node 4 with weight 9,\nan edge between node 14 and node 5 with weight 9,\nan edge between node 13 and node 5 with weight 6,\nan edge between node 7 and node 9 with weight 8,\nan edge between node 7 and node 8 with weight 7,\nan edge between node 12 and node 7 with weight 6,\nan edge between node 7 and node 15 with weight 5,\nan edge between node 16 and node 7 with weight 10,\nan edge between node 11 and node 7 with weight 5,\nan edge between node 12 and node 9 with weight 9,\nan edge between node 11 and node 9 with weight 5,\nan edge between node 12 and node 10 with weight 1,\nan edge between node 16 and node 10 with weight 8,\nan edge between node 11 and node 15 with weight 8,\nan edge between node 11 and node 13 with weight 7,\nQ: Give the shortest path from node 6 to node 14:"
            },
            {
                "from": "gpt",
                "value": "6->1->5->14."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph159",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge between node 0 and node 1 with weight 5,\nan edge between node 0 and node 7 with weight 9,\nan edge between node 8 and node 0 with weight 1,\nan edge between node 1 and node 3 with weight 9,\nan edge between node 5 and node 1 with weight 5,\nan edge between node 1 and node 6 with weight 8,\nan edge between node 9 and node 2 with weight 2,\nan edge between node 3 and node 5 with weight 9,\nan edge between node 6 and node 3 with weight 8,\nan edge between node 4 and node 5 with weight 9,\nan edge between node 4 and node 11 with weight 7,\nan edge between node 6 and node 5 with weight 10,\nan edge between node 8 and node 6 with weight 9,\nan edge between node 10 and node 6 with weight 7,\nan edge between node 7 and node 9 with weight 8,\nan edge between node 11 and node 8 with weight 7,\nQ: Give the shortest path from node 4 to node 9:"
            },
            {
                "from": "gpt",
                "value": "4->11->8->0->7->9."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph796",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 0 and node 6 with weight 5,\nan edge between node 0 and node 13 with weight 9,\nan edge between node 9 and node 0 with weight 1,\nan edge between node 6 and node 1 with weight 9,\nan edge between node 1 and node 3 with weight 2,\nan edge between node 5 and node 1 with weight 6,\nan edge between node 1 and node 4 with weight 6,\nan edge between node 15 and node 2 with weight 1,\nan edge between node 2 and node 16 with weight 1,\nan edge between node 2 and node 3 with weight 7,\nan edge between node 7 and node 2 with weight 3,\nan edge between node 11 and node 3 with weight 2,\nan edge between node 5 and node 4 with weight 3,\nan edge between node 8 and node 4 with weight 3,\nan edge between node 13 and node 5 with weight 10,\nan edge between node 14 and node 5 with weight 1,\nan edge between node 10 and node 5 with weight 9,\nan edge between node 5 and node 9 with weight 3,\nan edge between node 6 and node 12 with weight 10,\nan edge between node 7 and node 16 with weight 1,\nan edge between node 13 and node 7 with weight 4,\nan edge between node 10 and node 7 with weight 1,\nan edge between node 11 and node 7 with weight 8,\nan edge between node 8 and node 11 with weight 4,\nan edge between node 8 and node 12 with weight 9,\nan edge between node 9 and node 13 with weight 3,\nan edge between node 11 and node 9 with weight 2,\nan edge between node 9 and node 12 with weight 7,\nan edge between node 11 and node 14 with weight 3,\nan edge between node 16 and node 12 with weight 3,\nan edge between node 15 and node 13 with weight 1,\nQ: Give the shortest path from node 8 to node 15:"
            },
            {
                "from": "gpt",
                "value": "8->11->9->13->15."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1042",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge between node 0 and node 8 with weight 5,\nan edge between node 0 and node 4 with weight 3,\nan edge between node 16 and node 0 with weight 9,\nan edge between node 0 and node 12 with weight 5,\nan edge between node 9 and node 0 with weight 1,\nan edge between node 1 and node 3 with weight 10,\nan edge between node 2 and node 14 with weight 9,\nan edge between node 12 and node 2 with weight 2,\nan edge between node 2 and node 3 with weight 3,\nan edge between node 17 and node 3 with weight 5,\nan edge between node 15 and node 3 with weight 1,\nan edge between node 3 and node 10 with weight 3,\nan edge between node 16 and node 4 with weight 3,\nan edge between node 12 and node 4 with weight 8,\nan edge between node 4 and node 9 with weight 4,\nan edge between node 5 and node 17 with weight 5,\nan edge between node 5 and node 9 with weight 2,\nan edge between node 15 and node 6 with weight 2,\nan edge between node 14 and node 6 with weight 2,\nan edge between node 9 and node 6 with weight 1,\nan edge between node 7 and node 14 with weight 8,\nan edge between node 18 and node 7 with weight 2,\nan edge between node 8 and node 11 with weight 3,\nan edge between node 8 and node 12 with weight 4,\nan edge between node 9 and node 8 with weight 3,\nan edge between node 17 and node 9 with weight 9,\nan edge between node 12 and node 9 with weight 3,\nan edge between node 17 and node 10 with weight 3,\nan edge between node 16 and node 10 with weight 9,\nan edge between node 10 and node 11 with weight 5,\nan edge between node 12 and node 10 with weight 9,\nan edge between node 12 and node 14 with weight 6,\nan edge between node 12 and node 16 with weight 2,\nan edge between node 17 and node 13 with weight 10,\nan edge between node 13 and node 16 with weight 8,\nan edge between node 17 and node 14 with weight 1,\nan edge between node 15 and node 16 with weight 10,\nQ: Give the shortest path from node 18 to node 11:"
            },
            {
                "from": "gpt",
                "value": "18->7->14->17->10->11."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph440",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge between node 0 and node 6 with weight 6,\nan edge between node 9 and node 0 with weight 7,\nan edge between node 0 and node 5 with weight 1,\nan edge between node 1 and node 4 with weight 8,\nan edge between node 13 and node 2 with weight 8,\nan edge between node 2 and node 11 with weight 8,\nan edge between node 8 and node 3 with weight 5,\nan edge between node 7 and node 4 with weight 10,\nan edge between node 8 and node 4 with weight 8,\nan edge between node 11 and node 5 with weight 7,\nan edge between node 12 and node 5 with weight 2,\nan edge between node 6 and node 9 with weight 9,\nan edge between node 7 and node 11 with weight 9,\nan edge between node 13 and node 8 with weight 7,\nan edge between node 9 and node 13 with weight 3,\nan edge between node 12 and node 9 with weight 8,\nan edge between node 12 and node 10 with weight 8,\nan edge between node 13 and node 11 with weight 9,\nQ: Give the shortest path from node 1 to node 10:"
            },
            {
                "from": "gpt",
                "value": "1->4->8->13->9->12->10."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph970",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge between node 3 and node 0 with weight 10,\nan edge between node 0 and node 9 with weight 2,\nan edge between node 0 and node 14 with weight 6,\nan edge between node 0 and node 16 with weight 1,\nan edge between node 10 and node 1 with weight 3,\nan edge between node 1 and node 6 with weight 10,\nan edge between node 14 and node 1 with weight 4,\nan edge between node 4 and node 1 with weight 3,\nan edge between node 1 and node 8 with weight 9,\nan edge between node 14 and node 2 with weight 6,\nan edge between node 17 and node 2 with weight 7,\nan edge between node 3 and node 7 with weight 7,\nan edge between node 3 and node 18 with weight 10,\nan edge between node 17 and node 3 with weight 8,\nan edge between node 4 and node 17 with weight 2,\nan edge between node 13 and node 4 with weight 9,\nan edge between node 5 and node 11 with weight 5,\nan edge between node 18 and node 5 with weight 2,\nan edge between node 5 and node 17 with weight 1,\nan edge between node 16 and node 6 with weight 1,\nan edge between node 12 and node 7 with weight 7,\nan edge between node 7 and node 17 with weight 5,\nan edge between node 9 and node 8 with weight 1,\nan edge between node 8 and node 16 with weight 3,\nan edge between node 10 and node 9 with weight 5,\nan edge between node 13 and node 9 with weight 6,\nan edge between node 14 and node 10 with weight 8,\nan edge between node 15 and node 11 with weight 10,\nan edge between node 18 and node 12 with weight 5,\nan edge between node 13 and node 16 with weight 5,\nQ: Give the shortest path from node 6 to node 18:"
            },
            {
                "from": "gpt",
                "value": "6->1->4->17->5->18."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph635",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge between node 0 and node 15 with weight 3,\nan edge between node 7 and node 0 with weight 7,\nan edge between node 0 and node 14 with weight 1,\nan edge between node 15 and node 1 with weight 7,\nan edge between node 11 and node 1 with weight 4,\nan edge between node 5 and node 1 with weight 4,\nan edge between node 1 and node 13 with weight 4,\nan edge between node 2 and node 14 with weight 10,\nan edge between node 11 and node 3 with weight 4,\nan edge between node 15 and node 4 with weight 4,\nan edge between node 5 and node 4 with weight 5,\nan edge between node 8 and node 4 with weight 5,\nan edge between node 6 and node 4 with weight 2,\nan edge between node 5 and node 9 with weight 7,\nan edge between node 6 and node 11 with weight 1,\nan edge between node 8 and node 6 with weight 7,\nan edge between node 9 and node 7 with weight 1,\nan edge between node 7 and node 14 with weight 7,\nan edge between node 7 and node 13 with weight 4,\nan edge between node 8 and node 13 with weight 8,\nan edge between node 9 and node 10 with weight 8,\nan edge between node 10 and node 13 with weight 1,\nan edge between node 14 and node 12 with weight 5,\nQ: Give the shortest path from node 3 to node 2:"
            },
            {
                "from": "gpt",
                "value": "3->11->6->4->15->0->14->2."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1122",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 0 and node 5 with weight 8,\nan edge between node 18 and node 1 with weight 8,\nan edge between node 15 and node 1 with weight 4,\nan edge between node 16 and node 1 with weight 2,\nan edge between node 1 and node 8 with weight 3,\nan edge between node 2 and node 18 with weight 7,\nan edge between node 8 and node 2 with weight 2,\nan edge between node 17 and node 3 with weight 1,\nan edge between node 3 and node 15 with weight 4,\nan edge between node 3 and node 6 with weight 8,\nan edge between node 4 and node 12 with weight 1,\nan edge between node 8 and node 4 with weight 6,\nan edge between node 5 and node 15 with weight 4,\nan edge between node 16 and node 5 with weight 2,\nan edge between node 7 and node 6 with weight 6,\nan edge between node 15 and node 6 with weight 4,\nan edge between node 6 and node 8 with weight 6,\nan edge between node 7 and node 19 with weight 5,\nan edge between node 18 and node 8 with weight 7,\nan edge between node 19 and node 8 with weight 8,\nan edge between node 11 and node 8 with weight 10,\nan edge between node 9 and node 10 with weight 6,\nan edge between node 18 and node 9 with weight 8,\nan edge between node 13 and node 9 with weight 8,\nan edge between node 11 and node 9 with weight 4,\nan edge between node 10 and node 12 with weight 7,\nan edge between node 10 and node 14 with weight 4,\nan edge between node 18 and node 10 with weight 1,\nan edge between node 17 and node 11 with weight 10,\nan edge between node 18 and node 13 with weight 7,\nan edge between node 16 and node 13 with weight 10,\nan edge between node 17 and node 14 with weight 6,\nan edge between node 16 and node 19 with weight 5,\nQ: Give the shortest path from node 0 to node 12:"
            },
            {
                "from": "gpt",
                "value": "0->5->16->1->8->4->12."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph2",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 10 and node 0 with weight 7,\nan edge between node 0 and node 3 with weight 8,\nan edge between node 10 and node 1 with weight 1,\nan edge between node 5 and node 1 with weight 2,\nan edge between node 2 and node 1 with weight 3,\nan edge between node 3 and node 1 with weight 6,\nan edge between node 7 and node 1 with weight 4,\nan edge between node 2 and node 9 with weight 3,\nan edge between node 2 and node 5 with weight 1,\nan edge between node 4 and node 6 with weight 2,\nan edge between node 6 and node 8 with weight 5,\nan edge between node 8 and node 10 with weight 5,\nQ: Give the shortest path from node 9 to node 4:"
            },
            {
                "from": "gpt",
                "value": "9->2->1->10->8->6->4."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph820",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 13 and node 0 with weight 10,\nan edge between node 2 and node 0 with weight 5,\nan edge between node 0 and node 4 with weight 7,\nan edge between node 0 and node 11 with weight 3,\nan edge between node 0 and node 1 with weight 8,\nan edge between node 14 and node 0 with weight 8,\nan edge between node 0 and node 6 with weight 9,\nan edge between node 1 and node 16 with weight 4,\nan edge between node 1 and node 10 with weight 6,\nan edge between node 1 and node 5 with weight 10,\nan edge between node 1 and node 6 with weight 7,\nan edge between node 2 and node 16 with weight 1,\nan edge between node 2 and node 10 with weight 8,\nan edge between node 14 and node 2 with weight 9,\nan edge between node 3 and node 15 with weight 3,\nan edge between node 4 and node 3 with weight 4,\nan edge between node 16 and node 4 with weight 3,\nan edge between node 4 and node 11 with weight 8,\nan edge between node 4 and node 12 with weight 4,\nan edge between node 5 and node 14 with weight 6,\nan edge between node 5 and node 12 with weight 8,\nan edge between node 9 and node 6 with weight 9,\nan edge between node 16 and node 6 with weight 5,\nan edge between node 6 and node 12 with weight 10,\nan edge between node 15 and node 7 with weight 2,\nan edge between node 8 and node 14 with weight 8,\nan edge between node 9 and node 13 with weight 5,\nan edge between node 14 and node 10 with weight 8,\nan edge between node 12 and node 10 with weight 8,\nan edge between node 15 and node 11 with weight 2,\nan edge between node 13 and node 12 with weight 7,\nan edge between node 15 and node 12 with weight 4,\nQ: Give the shortest path from node 3 to node 9:"
            },
            {
                "from": "gpt",
                "value": "3->15->12->13->9."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph68",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 4 and node 0 with weight 5,\nan edge between node 1 and node 2 with weight 5,\nan edge between node 10 and node 1 with weight 4,\nan edge between node 1 and node 3 with weight 2,\nan edge between node 6 and node 1 with weight 3,\nan edge between node 2 and node 3 with weight 2,\nan edge between node 8 and node 2 with weight 9,\nan edge between node 3 and node 7 with weight 6,\nan edge between node 3 and node 6 with weight 1,\nan edge between node 5 and node 3 with weight 5,\nan edge between node 4 and node 7 with weight 9,\nan edge between node 5 and node 4 with weight 7,\nan edge between node 5 and node 10 with weight 2,\nan edge between node 6 and node 5 with weight 5,\nan edge between node 7 and node 6 with weight 1,\nan edge between node 6 and node 9 with weight 7,\nan edge between node 7 and node 10 with weight 3,\nQ: Give the shortest path from node 0 to node 8:"
            },
            {
                "from": "gpt",
                "value": "0->4->7->6->3->2->8."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph203",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge between node 1 and node 0 with weight 7,\nan edge between node 7 and node 0 with weight 3,\nan edge between node 0 and node 6 with weight 4,\nan edge between node 11 and node 0 with weight 7,\nan edge between node 10 and node 1 with weight 2,\nan edge between node 11 and node 1 with weight 7,\nan edge between node 5 and node 1 with weight 8,\nan edge between node 1 and node 4 with weight 2,\nan edge between node 8 and node 2 with weight 9,\nan edge between node 10 and node 2 with weight 3,\nan edge between node 6 and node 2 with weight 1,\nan edge between node 11 and node 2 with weight 10,\nan edge between node 2 and node 9 with weight 6,\nan edge between node 3 and node 8 with weight 9,\nan edge between node 3 and node 7 with weight 5,\nan edge between node 5 and node 3 with weight 9,\nan edge between node 6 and node 9 with weight 9,\nan edge between node 8 and node 7 with weight 2,\nan edge between node 7 and node 10 with weight 4,\nan edge between node 8 and node 11 with weight 10,\nan edge between node 9 and node 8 with weight 8,\nan edge between node 10 and node 11 with weight 1,\nQ: Give the shortest path from node 4 to node 3:"
            },
            {
                "from": "gpt",
                "value": "4->1->10->7->3."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph149",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge between node 3 and node 0 with weight 4,\nan edge between node 7 and node 0 with weight 10,\nan edge between node 0 and node 1 with weight 9,\nan edge between node 2 and node 3 with weight 8,\nan edge between node 8 and node 2 with weight 2,\nan edge between node 2 and node 4 with weight 7,\nan edge between node 3 and node 9 with weight 9,\nan edge between node 10 and node 3 with weight 3,\nan edge between node 3 and node 4 with weight 6,\nan edge between node 5 and node 4 with weight 9,\nan edge between node 10 and node 4 with weight 1,\nan edge between node 5 and node 11 with weight 7,\nan edge between node 6 and node 5 with weight 2,\nan edge between node 6 and node 7 with weight 9,\nan edge between node 10 and node 7 with weight 6,\nan edge between node 8 and node 11 with weight 7,\nQ: Give the shortest path from node 1 to node 10:"
            },
            {
                "from": "gpt",
                "value": "1->0->3->10."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1193",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 0 and node 11 with weight 8,\nan edge between node 0 and node 5 with weight 1,\nan edge between node 2 and node 0 with weight 3,\nan edge between node 8 and node 0 with weight 6,\nan edge between node 0 and node 15 with weight 5,\nan edge between node 1 and node 0 with weight 1,\nan edge between node 18 and node 0 with weight 6,\nan edge between node 3 and node 0 with weight 6,\nan edge between node 10 and node 0 with weight 3,\nan edge between node 1 and node 7 with weight 10,\nan edge between node 1 and node 2 with weight 3,\nan edge between node 8 and node 1 with weight 9,\nan edge between node 19 and node 1 with weight 3,\nan edge between node 17 and node 1 with weight 5,\nan edge between node 2 and node 3 with weight 2,\nan edge between node 2 and node 13 with weight 9,\nan edge between node 17 and node 2 with weight 2,\nan edge between node 3 and node 11 with weight 8,\nan edge between node 15 and node 3 with weight 7,\nan edge between node 7 and node 4 with weight 4,\nan edge between node 4 and node 12 with weight 6,\nan edge between node 16 and node 4 with weight 10,\nan edge between node 4 and node 6 with weight 10,\nan edge between node 9 and node 4 with weight 4,\nan edge between node 4 and node 18 with weight 10,\nan edge between node 4 and node 13 with weight 4,\nan edge between node 19 and node 4 with weight 8,\nan edge between node 14 and node 4 with weight 7,\nan edge between node 11 and node 5 with weight 7,\nan edge between node 12 and node 5 with weight 9,\nan edge between node 5 and node 16 with weight 4,\nan edge between node 5 and node 9 with weight 4,\nan edge between node 5 and node 17 with weight 7,\nan edge between node 7 and node 6 with weight 10,\nan edge between node 16 and node 6 with weight 10,\nan edge between node 6 and node 8 with weight 6,\nan edge between node 15 and node 6 with weight 3,\nan edge between node 9 and node 6 with weight 7,\nan edge between node 6 and node 18 with weight 9,\nan edge between node 6 and node 13 with weight 9,\nan edge between node 9 and node 7 with weight 4,\nan edge between node 17 and node 7 with weight 7,\nan edge between node 8 and node 15 with weight 10,\nan edge between node 9 and node 8 with weight 4,\nan edge between node 14 and node 8 with weight 5,\nan edge between node 8 and node 10 with weight 10,\nan edge between node 9 and node 18 with weight 6,\nan edge between node 9 and node 13 with weight 1,\nan edge between node 16 and node 11 with weight 9,\nan edge between node 11 and node 15 with weight 6,\nan edge between node 13 and node 11 with weight 5,\nan edge between node 19 and node 11 with weight 9,\nan edge between node 17 and node 11 with weight 10,\nan edge between node 12 and node 16 with weight 5,\nan edge between node 12 and node 13 with weight 7,\nan edge between node 17 and node 12 with weight 5,\nan edge between node 13 and node 14 with weight 10,\nan edge between node 16 and node 14 with weight 2,\nan edge between node 19 and node 14 with weight 5,\nan edge between node 15 and node 18 with weight 4,\nan edge between node 15 and node 19 with weight 7,\nan edge between node 18 and node 17 with weight 4,\nQ: Give the shortest path from node 3 to node 17:"
            },
            {
                "from": "gpt",
                "value": "3->2->17."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph940",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge between node 1 and node 0 with weight 3,\nan edge between node 0 and node 10 with weight 8,\nan edge between node 0 and node 16 with weight 2,\nan edge between node 0 and node 12 with weight 4,\nan edge between node 1 and node 2 with weight 1,\nan edge between node 5 and node 1 with weight 8,\nan edge between node 13 and node 1 with weight 6,\nan edge between node 1 and node 17 with weight 2,\nan edge between node 1 and node 7 with weight 2,\nan edge between node 10 and node 1 with weight 6,\nan edge between node 3 and node 1 with weight 9,\nan edge between node 2 and node 9 with weight 4,\nan edge between node 2 and node 7 with weight 3,\nan edge between node 6 and node 2 with weight 1,\nan edge between node 2 and node 12 with weight 5,\nan edge between node 14 and node 3 with weight 8,\nan edge between node 3 and node 10 with weight 5,\nan edge between node 16 and node 3 with weight 7,\nan edge between node 4 and node 17 with weight 2,\nan edge between node 4 and node 7 with weight 1,\nan edge between node 4 and node 10 with weight 4,\nan edge between node 12 and node 4 with weight 10,\nan edge between node 9 and node 5 with weight 9,\nan edge between node 6 and node 17 with weight 7,\nan edge between node 7 and node 9 with weight 8,\nan edge between node 8 and node 9 with weight 7,\nan edge between node 17 and node 8 with weight 5,\nan edge between node 8 and node 10 with weight 4,\nan edge between node 12 and node 8 with weight 5,\nan edge between node 14 and node 9 with weight 6,\nan edge between node 9 and node 10 with weight 2,\nan edge between node 12 and node 10 with weight 8,\nan edge between node 14 and node 11 with weight 5,\nan edge between node 12 and node 15 with weight 9,\nan edge between node 12 and node 14 with weight 1,\nan edge between node 12 and node 16 with weight 10,\nan edge between node 13 and node 17 with weight 1,\nan edge between node 17 and node 14 with weight 2,\nQ: Give the shortest path from node 5 to node 15:"
            },
            {
                "from": "gpt",
                "value": "5->1->17->14->12->15."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph265",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge between node 0 and node 12 with weight 1,\nan edge between node 2 and node 1 with weight 4,\nan edge between node 1 and node 8 with weight 10,\nan edge between node 5 and node 2 with weight 6,\nan edge between node 3 and node 9 with weight 7,\nan edge between node 3 and node 10 with weight 5,\nan edge between node 4 and node 3 with weight 9,\nan edge between node 11 and node 5 with weight 8,\nan edge between node 5 and node 8 with weight 8,\nan edge between node 6 and node 11 with weight 10,\nan edge between node 9 and node 6 with weight 8,\nan edge between node 11 and node 7 with weight 8,\nan edge between node 8 and node 11 with weight 6,\nan edge between node 9 and node 8 with weight 7,\nan edge between node 12 and node 8 with weight 9,\nan edge between node 9 and node 11 with weight 7,\nan edge between node 12 and node 10 with weight 5,\nQ: Give the shortest path from node 8 to node 10:"
            },
            {
                "from": "gpt",
                "value": "8->12->10."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph390",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge between node 11 and node 0 with weight 2,\nan edge between node 0 and node 4 with weight 7,\nan edge between node 0 and node 5 with weight 8,\nan edge between node 2 and node 0 with weight 9,\nan edge between node 9 and node 1 with weight 10,\nan edge between node 1 and node 5 with weight 1,\nan edge between node 12 and node 2 with weight 1,\nan edge between node 5 and node 2 with weight 8,\nan edge between node 2 and node 7 with weight 3,\nan edge between node 3 and node 8 with weight 9,\nan edge between node 13 and node 4 with weight 5,\nan edge between node 7 and node 4 with weight 9,\nan edge between node 6 and node 12 with weight 7,\nan edge between node 9 and node 8 with weight 4,\nan edge between node 10 and node 9 with weight 1,\nan edge between node 11 and node 9 with weight 2,\nan edge between node 12 and node 10 with weight 7,\nan edge between node 12 and node 11 with weight 1,\nQ: Give the shortest path from node 7 to node 13:"
            },
            {
                "from": "gpt",
                "value": "7->4->13."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph937",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge between node 0 and node 10 with weight 6,\nan edge between node 0 and node 7 with weight 8,\nan edge between node 0 and node 9 with weight 5,\nan edge between node 11 and node 0 with weight 4,\nan edge between node 2 and node 1 with weight 5,\nan edge between node 10 and node 1 with weight 4,\nan edge between node 1 and node 7 with weight 6,\nan edge between node 8 and node 1 with weight 3,\nan edge between node 9 and node 1 with weight 4,\nan edge between node 11 and node 1 with weight 9,\nan edge between node 17 and node 1 with weight 9,\nan edge between node 1 and node 5 with weight 3,\nan edge between node 2 and node 13 with weight 9,\nan edge between node 2 and node 11 with weight 9,\nan edge between node 4 and node 3 with weight 10,\nan edge between node 3 and node 16 with weight 4,\nan edge between node 3 and node 8 with weight 2,\nan edge between node 5 and node 3 with weight 6,\nan edge between node 4 and node 12 with weight 7,\nan edge between node 7 and node 4 with weight 8,\nan edge between node 8 and node 4 with weight 2,\nan edge between node 4 and node 9 with weight 2,\nan edge between node 13 and node 5 with weight 3,\nan edge between node 15 and node 5 with weight 7,\nan edge between node 6 and node 7 with weight 10,\nan edge between node 6 and node 13 with weight 2,\nan edge between node 14 and node 6 with weight 1,\nan edge between node 15 and node 6 with weight 10,\nan edge between node 17 and node 7 with weight 10,\nan edge between node 10 and node 8 with weight 1,\nan edge between node 8 and node 12 with weight 8,\nan edge between node 16 and node 8 with weight 6,\nan edge between node 16 and node 9 with weight 1,\nan edge between node 12 and node 10 with weight 3,\nan edge between node 13 and node 11 with weight 3,\nan edge between node 14 and node 11 with weight 1,\nan edge between node 16 and node 12 with weight 8,\nan edge between node 13 and node 17 with weight 1,\nQ: Give the shortest path from node 12 to node 15:"
            },
            {
                "from": "gpt",
                "value": "12->10->1->5->15."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph733",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 6 and node 0 with weight 1,\nan edge between node 4 and node 0 with weight 1,\nan edge between node 13 and node 1 with weight 2,\nan edge between node 1 and node 11 with weight 6,\nan edge between node 12 and node 1 with weight 10,\nan edge between node 2 and node 13 with weight 4,\nan edge between node 12 and node 2 with weight 9,\nan edge between node 5 and node 2 with weight 1,\nan edge between node 5 and node 3 with weight 2,\nan edge between node 4 and node 13 with weight 3,\nan edge between node 4 and node 9 with weight 5,\nan edge between node 4 and node 12 with weight 10,\nan edge between node 13 and node 5 with weight 4,\nan edge between node 10 and node 5 with weight 9,\nan edge between node 5 and node 15 with weight 8,\nan edge between node 10 and node 6 with weight 10,\nan edge between node 11 and node 6 with weight 6,\nan edge between node 12 and node 6 with weight 5,\nan edge between node 7 and node 10 with weight 10,\nan edge between node 15 and node 8 with weight 9,\nan edge between node 14 and node 13 with weight 9,\nan edge between node 15 and node 16 with weight 5,\nQ: Give the shortest path from node 0 to node 8:"
            },
            {
                "from": "gpt",
                "value": "0->4->13->5->15->8."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph696",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge between node 2 and node 0 with weight 3,\nan edge between node 0 and node 13 with weight 7,\nan edge between node 1 and node 6 with weight 4,\nan edge between node 1 and node 13 with weight 4,\nan edge between node 8 and node 1 with weight 10,\nan edge between node 6 and node 3 with weight 1,\nan edge between node 3 and node 5 with weight 2,\nan edge between node 12 and node 3 with weight 6,\nan edge between node 4 and node 14 with weight 4,\nan edge between node 4 and node 6 with weight 9,\nan edge between node 4 and node 7 with weight 6,\nan edge between node 5 and node 14 with weight 7,\nan edge between node 15 and node 5 with weight 8,\nan edge between node 5 and node 13 with weight 1,\nan edge between node 5 and node 11 with weight 7,\nan edge between node 6 and node 7 with weight 9,\nan edge between node 6 and node 11 with weight 1,\nan edge between node 7 and node 15 with weight 6,\nan edge between node 7 and node 9 with weight 2,\nan edge between node 15 and node 8 with weight 3,\nan edge between node 10 and node 8 with weight 9,\nan edge between node 9 and node 12 with weight 2,\nan edge between node 10 and node 11 with weight 6,\nan edge between node 11 and node 13 with weight 3,\nan edge between node 14 and node 15 with weight 6,\nQ: Give the shortest path from node 0 to node 9:"
            },
            {
                "from": "gpt",
                "value": "0->13->5->3->12->9."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph778",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 12 and node 0 with weight 1,\nan edge between node 0 and node 3 with weight 4,\nan edge between node 0 and node 5 with weight 1,\nan edge between node 1 and node 13 with weight 10,\nan edge between node 14 and node 1 with weight 3,\nan edge between node 1 and node 4 with weight 7,\nan edge between node 7 and node 1 with weight 6,\nan edge between node 13 and node 2 with weight 4,\nan edge between node 10 and node 2 with weight 1,\nan edge between node 2 and node 11 with weight 5,\nan edge between node 6 and node 2 with weight 5,\nan edge between node 2 and node 5 with weight 1,\nan edge between node 11 and node 3 with weight 1,\nan edge between node 3 and node 6 with weight 9,\nan edge between node 7 and node 3 with weight 2,\nan edge between node 3 and node 16 with weight 2,\nan edge between node 4 and node 5 with weight 2,\nan edge between node 6 and node 13 with weight 9,\nan edge between node 6 and node 16 with weight 2,\nan edge between node 10 and node 7 with weight 10,\nan edge between node 8 and node 9 with weight 2,\nan edge between node 16 and node 8 with weight 4,\nan edge between node 12 and node 9 with weight 10,\nan edge between node 15 and node 10 with weight 5,\nan edge between node 16 and node 14 with weight 8,\nQ: Give the shortest path from node 15 to node 9:"
            },
            {
                "from": "gpt",
                "value": "15->10->2->5->0->12->9."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph993",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge between node 0 and node 2 with weight 5,\nan edge between node 0 and node 12 with weight 8,\nan edge between node 13 and node 0 with weight 5,\nan edge between node 0 and node 7 with weight 6,\nan edge between node 15 and node 0 with weight 8,\nan edge between node 5 and node 1 with weight 2,\nan edge between node 13 and node 1 with weight 10,\nan edge between node 18 and node 1 with weight 9,\nan edge between node 2 and node 5 with weight 8,\nan edge between node 2 and node 12 with weight 2,\nan edge between node 2 and node 18 with weight 8,\nan edge between node 2 and node 14 with weight 10,\nan edge between node 15 and node 2 with weight 4,\nan edge between node 9 and node 3 with weight 2,\nan edge between node 3 and node 5 with weight 5,\nan edge between node 3 and node 7 with weight 5,\nan edge between node 9 and node 4 with weight 2,\nan edge between node 5 and node 9 with weight 1,\nan edge between node 5 and node 17 with weight 2,\nan edge between node 16 and node 6 with weight 4,\nan edge between node 6 and node 14 with weight 10,\nan edge between node 11 and node 6 with weight 8,\nan edge between node 6 and node 7 with weight 1,\nan edge between node 7 and node 13 with weight 10,\nan edge between node 7 and node 14 with weight 7,\nan edge between node 8 and node 9 with weight 6,\nan edge between node 16 and node 8 with weight 6,\nan edge between node 8 and node 18 with weight 9,\nan edge between node 8 and node 15 with weight 2,\nan edge between node 12 and node 9 with weight 2,\nan edge between node 14 and node 9 with weight 7,\nan edge between node 9 and node 15 with weight 2,\nan edge between node 10 and node 18 with weight 7,\nan edge between node 16 and node 11 with weight 1,\nan edge between node 13 and node 11 with weight 6,\nan edge between node 12 and node 17 with weight 8,\nan edge between node 16 and node 13 with weight 2,\nan edge between node 15 and node 13 with weight 7,\nQ: Give the shortest path from node 18 to node 3:"
            },
            {
                "from": "gpt",
                "value": "18->2->12->9->3."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph647",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge between node 12 and node 0 with weight 7,\nan edge between node 0 and node 1 with weight 9,\nan edge between node 0 and node 14 with weight 8,\nan edge between node 0 and node 5 with weight 7,\nan edge between node 0 and node 11 with weight 9,\nan edge between node 15 and node 1 with weight 3,\nan edge between node 1 and node 5 with weight 5,\nan edge between node 8 and node 2 with weight 6,\nan edge between node 6 and node 3 with weight 6,\nan edge between node 4 and node 3 with weight 3,\nan edge between node 3 and node 9 with weight 8,\nan edge between node 4 and node 5 with weight 2,\nan edge between node 4 and node 11 with weight 2,\nan edge between node 15 and node 5 with weight 7,\nan edge between node 5 and node 13 with weight 1,\nan edge between node 6 and node 8 with weight 9,\nan edge between node 9 and node 6 with weight 9,\nan edge between node 7 and node 14 with weight 5,\nan edge between node 10 and node 7 with weight 6,\nan edge between node 7 and node 9 with weight 5,\nan edge between node 13 and node 8 with weight 8,\nan edge between node 8 and node 10 with weight 8,\nan edge between node 9 and node 12 with weight 8,\nan edge between node 9 and node 11 with weight 3,\nan edge between node 12 and node 10 with weight 1,\nan edge between node 15 and node 10 with weight 6,\nan edge between node 12 and node 14 with weight 2,\nQ: Give the shortest path from node 11 to node 2:"
            },
            {
                "from": "gpt",
                "value": "11->4->5->13->8->2."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph818",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 0 and node 2 with weight 5,\nan edge between node 0 and node 6 with weight 4,\nan edge between node 14 and node 0 with weight 3,\nan edge between node 12 and node 0 with weight 2,\nan edge between node 0 and node 4 with weight 1,\nan edge between node 1 and node 2 with weight 9,\nan edge between node 1 and node 5 with weight 3,\nan edge between node 3 and node 2 with weight 10,\nan edge between node 10 and node 2 with weight 1,\nan edge between node 12 and node 2 with weight 8,\nan edge between node 9 and node 2 with weight 1,\nan edge between node 3 and node 14 with weight 6,\nan edge between node 4 and node 14 with weight 9,\nan edge between node 15 and node 4 with weight 2,\nan edge between node 11 and node 5 with weight 1,\nan edge between node 5 and node 10 with weight 6,\nan edge between node 12 and node 5 with weight 5,\nan edge between node 6 and node 13 with weight 9,\nan edge between node 16 and node 6 with weight 5,\nan edge between node 15 and node 6 with weight 9,\nan edge between node 7 and node 13 with weight 8,\nan edge between node 16 and node 7 with weight 7,\nan edge between node 16 and node 8 with weight 4,\nan edge between node 10 and node 8 with weight 10,\nan edge between node 12 and node 8 with weight 6,\nan edge between node 8 and node 9 with weight 3,\nan edge between node 8 and node 15 with weight 4,\nan edge between node 9 and node 13 with weight 10,\nan edge between node 9 and node 16 with weight 1,\nan edge between node 11 and node 9 with weight 3,\nan edge between node 9 and node 10 with weight 2,\nan edge between node 14 and node 9 with weight 7,\nan edge between node 12 and node 9 with weight 5,\nan edge between node 15 and node 9 with weight 6,\nan edge between node 10 and node 13 with weight 1,\nan edge between node 12 and node 15 with weight 1,\nan edge between node 16 and node 14 with weight 10,\nQ: Give the shortest path from node 16 to node 3:"
            },
            {
                "from": "gpt",
                "value": "16->9->2->3."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph398",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge between node 3 and node 0 with weight 2,\nan edge between node 0 and node 9 with weight 10,\nan edge between node 1 and node 10 with weight 2,\nan edge between node 1 and node 2 with weight 8,\nan edge between node 8 and node 1 with weight 2,\nan edge between node 1 and node 6 with weight 7,\nan edge between node 2 and node 13 with weight 2,\nan edge between node 3 and node 13 with weight 7,\nan edge between node 8 and node 3 with weight 9,\nan edge between node 6 and node 4 with weight 4,\nan edge between node 5 and node 7 with weight 7,\nan edge between node 5 and node 6 with weight 3,\nan edge between node 6 and node 7 with weight 5,\nan edge between node 12 and node 7 with weight 7,\nan edge between node 9 and node 7 with weight 3,\nan edge between node 13 and node 8 with weight 5,\nan edge between node 13 and node 9 with weight 3,\nan edge between node 11 and node 13 with weight 3,\nan edge between node 12 and node 13 with weight 2,\nQ: Give the shortest path from node 4 to node 11:"
            },
            {
                "from": "gpt",
                "value": "4->6->7->9->13->11."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1159",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 0 and node 10 with weight 2,\nan edge between node 6 and node 0 with weight 1,\nan edge between node 0 and node 16 with weight 3,\nan edge between node 15 and node 0 with weight 7,\nan edge between node 0 and node 3 with weight 3,\nan edge between node 12 and node 0 with weight 2,\nan edge between node 10 and node 1 with weight 5,\nan edge between node 1 and node 19 with weight 4,\nan edge between node 1 and node 6 with weight 8,\nan edge between node 5 and node 1 with weight 6,\nan edge between node 10 and node 2 with weight 7,\nan edge between node 2 and node 19 with weight 9,\nan edge between node 13 and node 2 with weight 9,\nan edge between node 2 and node 3 with weight 5,\nan edge between node 3 and node 17 with weight 10,\nan edge between node 3 and node 14 with weight 1,\nan edge between node 11 and node 4 with weight 6,\nan edge between node 4 and node 7 with weight 6,\nan edge between node 4 and node 9 with weight 9,\nan edge between node 13 and node 4 with weight 8,\nan edge between node 12 and node 4 with weight 3,\nan edge between node 18 and node 4 with weight 10,\nan edge between node 5 and node 8 with weight 2,\nan edge between node 5 and node 10 with weight 2,\nan edge between node 17 and node 5 with weight 1,\nan edge between node 16 and node 5 with weight 5,\nan edge between node 5 and node 9 with weight 4,\nan edge between node 5 and node 12 with weight 8,\nan edge between node 5 and node 18 with weight 3,\nan edge between node 10 and node 6 with weight 5,\nan edge between node 15 and node 6 with weight 4,\nan edge between node 13 and node 6 with weight 4,\nan edge between node 11 and node 7 with weight 10,\nan edge between node 7 and node 10 with weight 6,\nan edge between node 17 and node 7 with weight 3,\nan edge between node 16 and node 7 with weight 9,\nan edge between node 8 and node 10 with weight 1,\nan edge between node 19 and node 8 with weight 8,\nan edge between node 17 and node 8 with weight 4,\nan edge between node 10 and node 9 with weight 2,\nan edge between node 19 and node 9 with weight 10,\nan edge between node 14 and node 9 with weight 10,\nan edge between node 16 and node 10 with weight 6,\nan edge between node 17 and node 11 with weight 2,\nan edge between node 11 and node 14 with weight 9,\nan edge between node 16 and node 11 with weight 10,\nan edge between node 15 and node 11 with weight 1,\nan edge between node 17 and node 12 with weight 9,\nan edge between node 15 and node 13 with weight 10,\nan edge between node 18 and node 13 with weight 4,\nan edge between node 17 and node 14 with weight 8,\nan edge between node 14 and node 16 with weight 9,\nan edge between node 19 and node 15 with weight 3,\nan edge between node 15 and node 17 with weight 4,\nan edge between node 18 and node 19 with weight 5,\nQ: Give the shortest path from node 7 to node 5:"
            },
            {
                "from": "gpt",
                "value": "7->17->5."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph812",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 6 and node 0 with weight 9,\nan edge between node 9 and node 0 with weight 3,\nan edge between node 2 and node 0 with weight 2,\nan edge between node 1 and node 14 with weight 2,\nan edge between node 12 and node 1 with weight 6,\nan edge between node 2 and node 7 with weight 5,\nan edge between node 8 and node 2 with weight 6,\nan edge between node 3 and node 4 with weight 4,\nan edge between node 3 and node 7 with weight 5,\nan edge between node 3 and node 5 with weight 9,\nan edge between node 16 and node 4 with weight 5,\nan edge between node 15 and node 4 with weight 8,\nan edge between node 5 and node 4 with weight 10,\nan edge between node 15 and node 5 with weight 7,\nan edge between node 5 and node 11 with weight 5,\nan edge between node 8 and node 6 with weight 10,\nan edge between node 7 and node 9 with weight 6,\nan edge between node 7 and node 16 with weight 1,\nan edge between node 7 and node 11 with weight 8,\nan edge between node 13 and node 8 with weight 4,\nan edge between node 8 and node 16 with weight 1,\nan edge between node 8 and node 11 with weight 8,\nan edge between node 12 and node 9 with weight 10,\nan edge between node 10 and node 14 with weight 7,\nan edge between node 16 and node 10 with weight 4,\nan edge between node 13 and node 11 with weight 3,\nan edge between node 13 and node 15 with weight 4,\nQ: Give the shortest path from node 12 to node 15:"
            },
            {
                "from": "gpt",
                "value": "12->9->7->16->8->13->15."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph958",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge between node 0 and node 1 with weight 10,\nan edge between node 10 and node 1 with weight 5,\nan edge between node 13 and node 1 with weight 6,\nan edge between node 4 and node 1 with weight 4,\nan edge between node 2 and node 16 with weight 5,\nan edge between node 2 and node 14 with weight 9,\nan edge between node 3 and node 16 with weight 6,\nan edge between node 3 and node 13 with weight 4,\nan edge between node 4 and node 10 with weight 6,\nan edge between node 6 and node 5 with weight 5,\nan edge between node 9 and node 5 with weight 3,\nan edge between node 16 and node 5 with weight 1,\nan edge between node 5 and node 17 with weight 3,\nan edge between node 12 and node 5 with weight 3,\nan edge between node 17 and node 6 with weight 8,\nan edge between node 8 and node 6 with weight 5,\nan edge between node 7 and node 6 with weight 1,\nan edge between node 9 and node 7 with weight 6,\nan edge between node 8 and node 7 with weight 6,\nan edge between node 10 and node 16 with weight 8,\nan edge between node 10 and node 13 with weight 6,\nan edge between node 12 and node 10 with weight 2,\nan edge between node 11 and node 17 with weight 3,\nan edge between node 15 and node 11 with weight 8,\nan edge between node 17 and node 12 with weight 7,\nan edge between node 12 and node 13 with weight 3,\nan edge between node 16 and node 13 with weight 8,\nan edge between node 17 and node 13 with weight 10,\nQ: Give the shortest path from node 14 to node 15:"
            },
            {
                "from": "gpt",
                "value": "14->2->16->5->17->11->15."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph461",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge between node 0 and node 5 with weight 9,\nan edge between node 0 and node 2 with weight 6,\nan edge between node 9 and node 0 with weight 3,\nan edge between node 10 and node 1 with weight 3,\nan edge between node 6 and node 1 with weight 5,\nan edge between node 1 and node 4 with weight 10,\nan edge between node 1 and node 9 with weight 2,\nan edge between node 2 and node 8 with weight 4,\nan edge between node 2 and node 10 with weight 1,\nan edge between node 5 and node 2 with weight 3,\nan edge between node 4 and node 2 with weight 8,\nan edge between node 3 and node 7 with weight 7,\nan edge between node 10 and node 4 with weight 1,\nan edge between node 7 and node 13 with weight 3,\nan edge between node 9 and node 12 with weight 8,\nan edge between node 9 and node 11 with weight 8,\nan edge between node 10 and node 13 with weight 9,\nan edge between node 11 and node 10 with weight 9,\nQ: Give the shortest path from node 12 to node 3:"
            },
            {
                "from": "gpt",
                "value": "12->9->1->10->13->7->3."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph930",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge between node 9 and node 0 with weight 2,\nan edge between node 8 and node 1 with weight 3,\nan edge between node 1 and node 3 with weight 6,\nan edge between node 7 and node 2 with weight 8,\nan edge between node 2 and node 14 with weight 4,\nan edge between node 9 and node 2 with weight 10,\nan edge between node 3 and node 2 with weight 1,\nan edge between node 16 and node 3 with weight 2,\nan edge between node 3 and node 12 with weight 10,\nan edge between node 4 and node 7 with weight 6,\nan edge between node 8 and node 4 with weight 4,\nan edge between node 9 and node 4 with weight 4,\nan edge between node 5 and node 11 with weight 2,\nan edge between node 5 and node 14 with weight 4,\nan edge between node 13 and node 6 with weight 9,\nan edge between node 16 and node 6 with weight 8,\nan edge between node 8 and node 6 with weight 3,\nan edge between node 6 and node 12 with weight 2,\nan edge between node 15 and node 7 with weight 5,\nan edge between node 13 and node 7 with weight 4,\nan edge between node 7 and node 11 with weight 5,\nan edge between node 8 and node 7 with weight 4,\nan edge between node 7 and node 9 with weight 6,\nan edge between node 17 and node 8 with weight 9,\nan edge between node 8 and node 15 with weight 8,\nan edge between node 17 and node 9 with weight 8,\nan edge between node 12 and node 9 with weight 3,\nan edge between node 10 and node 17 with weight 2,\nan edge between node 15 and node 10 with weight 9,\nan edge between node 12 and node 15 with weight 8,\nan edge between node 12 and node 14 with weight 4,\nan edge between node 17 and node 13 with weight 2,\nQ: Give the shortest path from node 16 to node 12:"
            },
            {
                "from": "gpt",
                "value": "16->6->12."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph953",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge between node 0 and node 2 with weight 6,\nan edge between node 0 and node 8 with weight 6,\nan edge between node 4 and node 0 with weight 4,\nan edge between node 0 and node 10 with weight 6,\nan edge between node 11 and node 0 with weight 2,\nan edge between node 0 and node 3 with weight 6,\nan edge between node 15 and node 0 with weight 2,\nan edge between node 14 and node 1 with weight 6,\nan edge between node 1 and node 9 with weight 4,\nan edge between node 11 and node 1 with weight 6,\nan edge between node 1 and node 13 with weight 6,\nan edge between node 8 and node 2 with weight 4,\nan edge between node 2 and node 11 with weight 7,\nan edge between node 2 and node 3 with weight 8,\nan edge between node 2 and node 13 with weight 8,\nan edge between node 3 and node 12 with weight 9,\nan edge between node 3 and node 15 with weight 9,\nan edge between node 3 and node 7 with weight 5,\nan edge between node 5 and node 3 with weight 4,\nan edge between node 8 and node 4 with weight 8,\nan edge between node 15 and node 4 with weight 4,\nan edge between node 4 and node 5 with weight 4,\nan edge between node 6 and node 5 with weight 4,\nan edge between node 5 and node 14 with weight 1,\nan edge between node 5 and node 12 with weight 8,\nan edge between node 5 and node 15 with weight 8,\nan edge between node 5 and node 17 with weight 8,\nan edge between node 9 and node 7 with weight 7,\nan edge between node 13 and node 7 with weight 1,\nan edge between node 8 and node 14 with weight 9,\nan edge between node 10 and node 8 with weight 6,\nan edge between node 11 and node 9 with weight 1,\nan edge between node 17 and node 9 with weight 2,\nan edge between node 10 and node 16 with weight 9,\nan edge between node 14 and node 11 with weight 3,\nan edge between node 11 and node 12 with weight 2,\nan edge between node 11 and node 13 with weight 5,\nan edge between node 15 and node 14 with weight 6,\nan edge between node 16 and node 15 with weight 10,\nan edge between node 17 and node 16 with weight 6,\nQ: Give the shortest path from node 10 to node 12:"
            },
            {
                "from": "gpt",
                "value": "10->0->11->12."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph135",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge between node 0 and node 8 with weight 9,\nan edge between node 11 and node 0 with weight 8,\nan edge between node 0 and node 1 with weight 4,\nan edge between node 1 and node 5 with weight 3,\nan edge between node 10 and node 2 with weight 8,\nan edge between node 2 and node 6 with weight 7,\nan edge between node 5 and node 3 with weight 2,\nan edge between node 9 and node 3 with weight 5,\nan edge between node 10 and node 4 with weight 10,\nan edge between node 10 and node 5 with weight 10,\nan edge between node 5 and node 7 with weight 9,\nan edge between node 8 and node 10 with weight 8,\nQ: Give the shortest path from node 6 to node 11:"
            },
            {
                "from": "gpt",
                "value": "6->2->10->8->0->11."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph784",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 12 and node 0 with weight 6,\nan edge between node 3 and node 0 with weight 3,\nan edge between node 11 and node 0 with weight 4,\nan edge between node 9 and node 1 with weight 8,\nan edge between node 1 and node 8 with weight 1,\nan edge between node 4 and node 1 with weight 5,\nan edge between node 7 and node 2 with weight 9,\nan edge between node 2 and node 5 with weight 10,\nan edge between node 2 and node 14 with weight 10,\nan edge between node 10 and node 2 with weight 2,\nan edge between node 12 and node 3 with weight 1,\nan edge between node 3 and node 14 with weight 1,\nan edge between node 11 and node 3 with weight 7,\nan edge between node 7 and node 4 with weight 6,\nan edge between node 14 and node 4 with weight 8,\nan edge between node 5 and node 14 with weight 4,\nan edge between node 5 and node 16 with weight 4,\nan edge between node 6 and node 8 with weight 10,\nan edge between node 13 and node 6 with weight 2,\nan edge between node 7 and node 14 with weight 5,\nan edge between node 7 and node 15 with weight 7,\nan edge between node 8 and node 10 with weight 8,\nan edge between node 12 and node 14 with weight 9,\nan edge between node 16 and node 13 with weight 1,\nan edge between node 15 and node 14 with weight 10,\nQ: Give the shortest path from node 0 to node 13:"
            },
            {
                "from": "gpt",
                "value": "0->3->14->5->16->13."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph99",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 0 and node 4 with weight 6,\nan edge between node 10 and node 0 with weight 8,\nan edge between node 1 and node 6 with weight 4,\nan edge between node 2 and node 5 with weight 4,\nan edge between node 7 and node 2 with weight 10,\nan edge between node 9 and node 2 with weight 7,\nan edge between node 2 and node 10 with weight 2,\nan edge between node 3 and node 5 with weight 6,\nan edge between node 3 and node 4 with weight 2,\nan edge between node 3 and node 10 with weight 9,\nan edge between node 8 and node 4 with weight 8,\nan edge between node 6 and node 4 with weight 1,\nan edge between node 8 and node 5 with weight 4,\nan edge between node 8 and node 10 with weight 5,\nQ: Give the shortest path from node 2 to node 1:"
            },
            {
                "from": "gpt",
                "value": "2->5->3->4->6->1."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph221",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge between node 0 and node 4 with weight 1,\nan edge between node 0 and node 2 with weight 8,\nan edge between node 6 and node 0 with weight 2,\nan edge between node 1 and node 9 with weight 10,\nan edge between node 1 and node 5 with weight 3,\nan edge between node 8 and node 1 with weight 9,\nan edge between node 1 and node 11 with weight 7,\nan edge between node 6 and node 1 with weight 1,\nan edge between node 4 and node 2 with weight 9,\nan edge between node 2 and node 3 with weight 8,\nan edge between node 8 and node 4 with weight 1,\nan edge between node 10 and node 4 with weight 10,\nan edge between node 7 and node 5 with weight 5,\nan edge between node 5 and node 8 with weight 9,\nan edge between node 9 and node 7 with weight 4,\nan edge between node 9 and node 11 with weight 3,\nQ: Give the shortest path from node 9 to node 3:"
            },
            {
                "from": "gpt",
                "value": "9->1->6->0->2->3."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph215",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge between node 2 and node 0 with weight 5,\nan edge between node 7 and node 0 with weight 1,\nan edge between node 1 and node 5 with weight 5,\nan edge between node 3 and node 1 with weight 4,\nan edge between node 1 and node 10 with weight 5,\nan edge between node 1 and node 2 with weight 9,\nan edge between node 1 and node 8 with weight 3,\nan edge between node 7 and node 1 with weight 2,\nan edge between node 2 and node 5 with weight 9,\nan edge between node 4 and node 2 with weight 10,\nan edge between node 3 and node 2 with weight 2,\nan edge between node 3 and node 8 with weight 9,\nan edge between node 4 and node 5 with weight 9,\nan edge between node 7 and node 4 with weight 1,\nan edge between node 5 and node 9 with weight 4,\nan edge between node 5 and node 8 with weight 1,\nan edge between node 6 and node 7 with weight 4,\nan edge between node 8 and node 7 with weight 4,\nan edge between node 9 and node 11 with weight 7,\nQ: Give the shortest path from node 10 to node 4:"
            },
            {
                "from": "gpt",
                "value": "10->1->7->4."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph251",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge between node 0 and node 1 with weight 5,\nan edge between node 0 and node 6 with weight 6,\nan edge between node 2 and node 0 with weight 4,\nan edge between node 0 and node 4 with weight 3,\nan edge between node 2 and node 10 with weight 6,\nan edge between node 3 and node 10 with weight 10,\nan edge between node 7 and node 4 with weight 2,\nan edge between node 5 and node 6 with weight 1,\nan edge between node 5 and node 9 with weight 1,\nan edge between node 10 and node 6 with weight 6,\nan edge between node 7 and node 12 with weight 6,\nan edge between node 8 and node 7 with weight 4,\nan edge between node 9 and node 7 with weight 2,\nan edge between node 7 and node 11 with weight 2,\nQ: Give the shortest path from node 8 to node 3:"
            },
            {
                "from": "gpt",
                "value": "8->7->9->5->6->10->3."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph651",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge between node 0 and node 13 with weight 10,\nan edge between node 7 and node 0 with weight 10,\nan edge between node 6 and node 0 with weight 4,\nan edge between node 1 and node 5 with weight 7,\nan edge between node 7 and node 1 with weight 8,\nan edge between node 14 and node 1 with weight 9,\nan edge between node 8 and node 2 with weight 2,\nan edge between node 2 and node 5 with weight 5,\nan edge between node 14 and node 2 with weight 9,\nan edge between node 12 and node 3 with weight 6,\nan edge between node 3 and node 8 with weight 10,\nan edge between node 3 and node 5 with weight 9,\nan edge between node 3 and node 7 with weight 3,\nan edge between node 3 and node 6 with weight 6,\nan edge between node 3 and node 4 with weight 6,\nan edge between node 12 and node 4 with weight 7,\nan edge between node 4 and node 13 with weight 9,\nan edge between node 7 and node 4 with weight 1,\nan edge between node 15 and node 5 with weight 2,\nan edge between node 5 and node 9 with weight 5,\nan edge between node 9 and node 6 with weight 8,\nan edge between node 6 and node 10 with weight 4,\nan edge between node 6 and node 13 with weight 5,\nan edge between node 7 and node 15 with weight 8,\nan edge between node 14 and node 7 with weight 7,\nan edge between node 9 and node 10 with weight 6,\nan edge between node 14 and node 10 with weight 7,\nan edge between node 14 and node 11 with weight 9,\nan edge between node 14 and node 12 with weight 2,\nQ: Give the shortest path from node 5 to node 13:"
            },
            {
                "from": "gpt",
                "value": "5->9->6->13."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph17",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 10 and node 0 with weight 10,\nan edge between node 3 and node 1 with weight 1,\nan edge between node 1 and node 7 with weight 1,\nan edge between node 2 and node 9 with weight 2,\nan edge between node 8 and node 2 with weight 5,\nan edge between node 2 and node 7 with weight 3,\nan edge between node 4 and node 5 with weight 5,\nan edge between node 10 and node 4 with weight 8,\nan edge between node 5 and node 9 with weight 3,\nan edge between node 6 and node 8 with weight 1,\nQ: Give the shortest path from node 9 to node 0:"
            },
            {
                "from": "gpt",
                "value": "9->5->4->10->0."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1082",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 0 and node 17 with weight 8,\nan edge between node 13 and node 1 with weight 5,\nan edge between node 1 and node 5 with weight 6,\nan edge between node 14 and node 1 with weight 9,\nan edge between node 5 and node 2 with weight 5,\nan edge between node 2 and node 6 with weight 9,\nan edge between node 13 and node 3 with weight 2,\nan edge between node 5 and node 3 with weight 2,\nan edge between node 4 and node 9 with weight 7,\nan edge between node 12 and node 4 with weight 9,\nan edge between node 5 and node 10 with weight 8,\nan edge between node 5 and node 15 with weight 10,\nan edge between node 10 and node 6 with weight 4,\nan edge between node 7 and node 6 with weight 10,\nan edge between node 7 and node 11 with weight 9,\nan edge between node 18 and node 8 with weight 6,\nan edge between node 16 and node 8 with weight 7,\nan edge between node 9 and node 17 with weight 7,\nan edge between node 15 and node 9 with weight 10,\nan edge between node 10 and node 11 with weight 4,\nan edge between node 10 and node 15 with weight 4,\nan edge between node 13 and node 11 with weight 2,\nan edge between node 13 and node 19 with weight 5,\nan edge between node 17 and node 13 with weight 2,\nan edge between node 14 and node 19 with weight 4,\nan edge between node 15 and node 14 with weight 9,\nan edge between node 18 and node 15 with weight 2,\nan edge between node 16 and node 19 with weight 9,\nQ: Give the shortest path from node 2 to node 17:"
            },
            {
                "from": "gpt",
                "value": "2->5->3->13->17."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph585",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge between node 0 and node 12 with weight 5,\nan edge between node 0 and node 3 with weight 2,\nan edge between node 7 and node 0 with weight 7,\nan edge between node 4 and node 0 with weight 9,\nan edge between node 9 and node 0 with weight 4,\nan edge between node 10 and node 1 with weight 6,\nan edge between node 1 and node 4 with weight 3,\nan edge between node 1 and node 9 with weight 10,\nan edge between node 2 and node 11 with weight 4,\nan edge between node 10 and node 2 with weight 3,\nan edge between node 2 and node 3 with weight 10,\nan edge between node 12 and node 3 with weight 2,\nan edge between node 12 and node 4 with weight 1,\nan edge between node 4 and node 6 with weight 2,\nan edge between node 5 and node 8 with weight 6,\nan edge between node 5 and node 10 with weight 2,\nan edge between node 6 and node 10 with weight 10,\nan edge between node 14 and node 7 with weight 6,\nan edge between node 9 and node 13 with weight 10,\nan edge between node 14 and node 9 with weight 4,\nan edge between node 13 and node 10 with weight 7,\nan edge between node 10 and node 14 with weight 10,\nan edge between node 11 and node 13 with weight 10,\nQ: Give the shortest path from node 0 to node 8:"
            },
            {
                "from": "gpt",
                "value": "0->3->12->4->1->10->5->8."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph137",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge between node 8 and node 0 with weight 6,\nan edge between node 1 and node 10 with weight 3,\nan edge between node 3 and node 1 with weight 1,\nan edge between node 1 and node 2 with weight 2,\nan edge between node 10 and node 2 with weight 7,\nan edge between node 2 and node 8 with weight 2,\nan edge between node 7 and node 3 with weight 7,\nan edge between node 6 and node 3 with weight 4,\nan edge between node 5 and node 4 with weight 2,\nan edge between node 9 and node 4 with weight 7,\nan edge between node 5 and node 7 with weight 5,\nan edge between node 5 and node 10 with weight 7,\nan edge between node 6 and node 8 with weight 6,\nan edge between node 6 and node 9 with weight 5,\nan edge between node 8 and node 10 with weight 1,\nan edge between node 9 and node 8 with weight 3,\nan edge between node 10 and node 11 with weight 10,\nQ: Give the shortest path from node 0 to node 7:"
            },
            {
                "from": "gpt",
                "value": "0->8->10->1->3->7."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph319",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge between node 0 and node 3 with weight 9,\nan edge between node 4 and node 0 with weight 9,\nan edge between node 8 and node 0 with weight 8,\nan edge between node 9 and node 1 with weight 2,\nan edge between node 6 and node 1 with weight 2,\nan edge between node 10 and node 1 with weight 4,\nan edge between node 7 and node 1 with weight 5,\nan edge between node 1 and node 4 with weight 7,\nan edge between node 8 and node 1 with weight 7,\nan edge between node 2 and node 1 with weight 1,\nan edge between node 2 and node 7 with weight 8,\nan edge between node 2 and node 8 with weight 3,\nan edge between node 10 and node 3 with weight 4,\nan edge between node 5 and node 3 with weight 1,\nan edge between node 3 and node 4 with weight 7,\nan edge between node 12 and node 4 with weight 10,\nan edge between node 4 and node 10 with weight 10,\nan edge between node 5 and node 12 with weight 4,\nan edge between node 7 and node 5 with weight 2,\nan edge between node 6 and node 12 with weight 3,\nan edge between node 6 and node 10 with weight 10,\nan edge between node 7 and node 6 with weight 4,\nan edge between node 6 and node 11 with weight 2,\nan edge between node 8 and node 7 with weight 10,\nan edge between node 8 and node 12 with weight 5,\nan edge between node 8 and node 11 with weight 8,\nQ: Give the shortest path from node 11 to node 7:"
            },
            {
                "from": "gpt",
                "value": "11->6->7."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1097",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 0 and node 7 with weight 9,\nan edge between node 16 and node 0 with weight 9,\nan edge between node 0 and node 14 with weight 2,\nan edge between node 1 and node 15 with weight 9,\nan edge between node 4 and node 1 with weight 1,\nan edge between node 1 and node 9 with weight 10,\nan edge between node 13 and node 1 with weight 10,\nan edge between node 2 and node 6 with weight 4,\nan edge between node 4 and node 2 with weight 10,\nan edge between node 7 and node 2 with weight 1,\nan edge between node 2 and node 9 with weight 4,\nan edge between node 2 and node 18 with weight 4,\nan edge between node 2 and node 10 with weight 3,\nan edge between node 11 and node 3 with weight 7,\nan edge between node 16 and node 3 with weight 10,\nan edge between node 17 and node 3 with weight 8,\nan edge between node 14 and node 3 with weight 2,\nan edge between node 4 and node 7 with weight 6,\nan edge between node 4 and node 18 with weight 9,\nan edge between node 13 and node 4 with weight 3,\nan edge between node 5 and node 6 with weight 3,\nan edge between node 5 and node 16 with weight 6,\nan edge between node 5 and node 12 with weight 8,\nan edge between node 6 and node 12 with weight 9,\nan edge between node 7 and node 12 with weight 7,\nan edge between node 7 and node 8 with weight 5,\nan edge between node 8 and node 11 with weight 4,\nan edge between node 16 and node 8 with weight 5,\nan edge between node 10 and node 9 with weight 4,\nan edge between node 10 and node 19 with weight 9,\nan edge between node 14 and node 10 with weight 2,\nan edge between node 11 and node 17 with weight 4,\nan edge between node 12 and node 16 with weight 3,\nan edge between node 13 and node 19 with weight 3,\nan edge between node 15 and node 13 with weight 2,\nan edge between node 16 and node 17 with weight 10,\nan edge between node 19 and node 17 with weight 9,\nQ: Give the shortest path from node 3 to node 15:"
            },
            {
                "from": "gpt",
                "value": "3->14->10->19->13->15."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph952",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge between node 0 and node 12 with weight 8,\nan edge between node 0 and node 8 with weight 4,\nan edge between node 2 and node 0 with weight 2,\nan edge between node 9 and node 0 with weight 2,\nan edge between node 14 and node 1 with weight 9,\nan edge between node 5 and node 1 with weight 3,\nan edge between node 1 and node 4 with weight 5,\nan edge between node 1 and node 9 with weight 9,\nan edge between node 2 and node 15 with weight 4,\nan edge between node 2 and node 5 with weight 7,\nan edge between node 2 and node 6 with weight 6,\nan edge between node 16 and node 2 with weight 10,\nan edge between node 3 and node 15 with weight 9,\nan edge between node 7 and node 3 with weight 6,\nan edge between node 13 and node 3 with weight 7,\nan edge between node 5 and node 15 with weight 7,\nan edge between node 12 and node 5 with weight 6,\nan edge between node 5 and node 6 with weight 6,\nan edge between node 9 and node 5 with weight 5,\nan edge between node 5 and node 16 with weight 5,\nan edge between node 14 and node 6 with weight 6,\nan edge between node 15 and node 6 with weight 6,\nan edge between node 7 and node 15 with weight 9,\nan edge between node 17 and node 7 with weight 6,\nan edge between node 7 and node 9 with weight 9,\nan edge between node 7 and node 16 with weight 3,\nan edge between node 8 and node 11 with weight 10,\nan edge between node 16 and node 8 with weight 9,\nan edge between node 9 and node 15 with weight 2,\nan edge between node 10 and node 14 with weight 10,\nan edge between node 10 and node 15 with weight 4,\nan edge between node 10 and node 11 with weight 4,\nan edge between node 10 and node 17 with weight 1,\nan edge between node 10 and node 12 with weight 2,\nan edge between node 11 and node 17 with weight 3,\nan edge between node 15 and node 14 with weight 1,\nan edge between node 14 and node 16 with weight 7,\nQ: Give the shortest path from node 13 to node 4:"
            },
            {
                "from": "gpt",
                "value": "13->3->7->16->5->1->4."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1161",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 0 and node 6 with weight 9,\nan edge between node 0 and node 2 with weight 10,\nan edge between node 0 and node 3 with weight 2,\nan edge between node 1 and node 2 with weight 3,\nan edge between node 5 and node 1 with weight 2,\nan edge between node 19 and node 2 with weight 6,\nan edge between node 2 and node 6 with weight 9,\nan edge between node 2 and node 11 with weight 2,\nan edge between node 13 and node 2 with weight 7,\nan edge between node 3 and node 2 with weight 4,\nan edge between node 3 and node 14 with weight 10,\nan edge between node 10 and node 3 with weight 4,\nan edge between node 9 and node 3 with weight 10,\nan edge between node 17 and node 3 with weight 6,\nan edge between node 4 and node 3 with weight 5,\nan edge between node 4 and node 11 with weight 9,\nan edge between node 18 and node 4 with weight 3,\nan edge between node 4 and node 17 with weight 7,\nan edge between node 5 and node 4 with weight 5,\nan edge between node 5 and node 11 with weight 7,\nan edge between node 13 and node 5 with weight 3,\nan edge between node 7 and node 13 with weight 4,\nan edge between node 15 and node 8 with weight 4,\nan edge between node 8 and node 14 with weight 8,\nan edge between node 9 and node 8 with weight 5,\nan edge between node 19 and node 9 with weight 2,\nan edge between node 11 and node 9 with weight 5,\nan edge between node 9 and node 18 with weight 7,\nan edge between node 9 and node 16 with weight 7,\nan edge between node 15 and node 11 with weight 10,\nan edge between node 11 and node 12 with weight 2,\nan edge between node 12 and node 18 with weight 7,\nan edge between node 17 and node 13 with weight 1,\nan edge between node 15 and node 14 with weight 4,\nan edge between node 14 and node 18 with weight 3,\nan edge between node 16 and node 19 with weight 7,\nan edge between node 18 and node 16 with weight 9,\nQ: Give the shortest path from node 7 to node 8:"
            },
            {
                "from": "gpt",
                "value": "7->13->2->11->9->8."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1106",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 5 and node 0 with weight 7,\nan edge between node 0 and node 11 with weight 2,\nan edge between node 0 and node 13 with weight 2,\nan edge between node 0 and node 9 with weight 3,\nan edge between node 6 and node 0 with weight 8,\nan edge between node 15 and node 1 with weight 4,\nan edge between node 18 and node 1 with weight 4,\nan edge between node 1 and node 12 with weight 9,\nan edge between node 1 and node 2 with weight 10,\nan edge between node 1 and node 17 with weight 9,\nan edge between node 2 and node 10 with weight 7,\nan edge between node 2 and node 15 with weight 7,\nan edge between node 18 and node 2 with weight 5,\nan edge between node 11 and node 2 with weight 4,\nan edge between node 2 and node 6 with weight 9,\nan edge between node 14 and node 2 with weight 1,\nan edge between node 15 and node 3 with weight 2,\nan edge between node 3 and node 17 with weight 4,\nan edge between node 10 and node 4 with weight 1,\nan edge between node 4 and node 7 with weight 2,\nan edge between node 12 and node 4 with weight 1,\nan edge between node 4 and node 8 with weight 1,\nan edge between node 19 and node 7 with weight 5,\nan edge between node 7 and node 16 with weight 5,\nan edge between node 11 and node 7 with weight 8,\nan edge between node 8 and node 10 with weight 8,\nan edge between node 8 and node 15 with weight 4,\nan edge between node 8 and node 16 with weight 10,\nan edge between node 12 and node 8 with weight 9,\nan edge between node 16 and node 10 with weight 3,\nan edge between node 12 and node 16 with weight 2,\nan edge between node 13 and node 15 with weight 2,\nan edge between node 15 and node 14 with weight 7,\nan edge between node 14 and node 16 with weight 6,\nan edge between node 16 and node 19 with weight 9,\nQ: Give the shortest path from node 6 to node 7:"
            },
            {
                "from": "gpt",
                "value": "6->0->11->7."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph589",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge between node 0 and node 5 with weight 5,\nan edge between node 10 and node 0 with weight 6,\nan edge between node 0 and node 9 with weight 7,\nan edge between node 0 and node 14 with weight 2,\nan edge between node 5 and node 1 with weight 3,\nan edge between node 1 and node 3 with weight 8,\nan edge between node 1 and node 7 with weight 10,\nan edge between node 9 and node 1 with weight 7,\nan edge between node 2 and node 1 with weight 6,\nan edge between node 2 and node 5 with weight 5,\nan edge between node 2 and node 7 with weight 3,\nan edge between node 3 and node 8 with weight 2,\nan edge between node 3 and node 6 with weight 3,\nan edge between node 3 and node 12 with weight 2,\nan edge between node 7 and node 3 with weight 6,\nan edge between node 3 and node 9 with weight 4,\nan edge between node 3 and node 14 with weight 4,\nan edge between node 4 and node 8 with weight 7,\nan edge between node 4 and node 10 with weight 3,\nan edge between node 8 and node 5 with weight 9,\nan edge between node 5 and node 10 with weight 5,\nan edge between node 5 and node 7 with weight 5,\nan edge between node 5 and node 9 with weight 3,\nan edge between node 13 and node 5 with weight 7,\nan edge between node 14 and node 5 with weight 1,\nan edge between node 9 and node 6 with weight 4,\nan edge between node 14 and node 6 with weight 10,\nan edge between node 7 and node 11 with weight 3,\nan edge between node 13 and node 9 with weight 3,\nan edge between node 11 and node 10 with weight 3,\nan edge between node 12 and node 13 with weight 9,\nan edge between node 13 and node 14 with weight 5,\nQ: Give the shortest path from node 5 to node 12:"
            },
            {
                "from": "gpt",
                "value": "5->14->3->12."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph615",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge between node 7 and node 0 with weight 2,\nan edge between node 0 and node 14 with weight 2,\nan edge between node 3 and node 0 with weight 6,\nan edge between node 1 and node 7 with weight 9,\nan edge between node 4 and node 1 with weight 8,\nan edge between node 1 and node 6 with weight 7,\nan edge between node 1 and node 3 with weight 4,\nan edge between node 2 and node 1 with weight 2,\nan edge between node 1 and node 8 with weight 2,\nan edge between node 2 and node 7 with weight 10,\nan edge between node 11 and node 2 with weight 5,\nan edge between node 7 and node 3 with weight 3,\nan edge between node 3 and node 13 with weight 10,\nan edge between node 4 and node 3 with weight 10,\nan edge between node 3 and node 5 with weight 1,\nan edge between node 3 and node 12 with weight 6,\nan edge between node 3 and node 6 with weight 5,\nan edge between node 4 and node 13 with weight 6,\nan edge between node 4 and node 5 with weight 9,\nan edge between node 15 and node 4 with weight 10,\nan edge between node 5 and node 12 with weight 10,\nan edge between node 10 and node 8 with weight 6,\nan edge between node 13 and node 9 with weight 9,\nan edge between node 9 and node 14 with weight 3,\nan edge between node 13 and node 15 with weight 1,\nan edge between node 14 and node 13 with weight 3,\nQ: Give the shortest path from node 5 to node 10:"
            },
            {
                "from": "gpt",
                "value": "5->3->1->8->10."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph722",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 0 and node 13 with weight 5,\nan edge between node 0 and node 1 with weight 5,\nan edge between node 0 and node 14 with weight 5,\nan edge between node 2 and node 1 with weight 2,\nan edge between node 1 and node 12 with weight 10,\nan edge between node 1 and node 4 with weight 1,\nan edge between node 6 and node 1 with weight 2,\nan edge between node 12 and node 2 with weight 5,\nan edge between node 11 and node 2 with weight 4,\nan edge between node 14 and node 2 with weight 2,\nan edge between node 2 and node 8 with weight 9,\nan edge between node 2 and node 7 with weight 7,\nan edge between node 3 and node 16 with weight 7,\nan edge between node 8 and node 3 with weight 5,\nan edge between node 6 and node 3 with weight 2,\nan edge between node 9 and node 4 with weight 5,\nan edge between node 4 and node 16 with weight 7,\nan edge between node 14 and node 4 with weight 4,\nan edge between node 10 and node 4 with weight 6,\nan edge between node 8 and node 5 with weight 3,\nan edge between node 10 and node 5 with weight 4,\nan edge between node 7 and node 5 with weight 2,\nan edge between node 11 and node 6 with weight 5,\nan edge between node 13 and node 7 with weight 6,\nan edge between node 12 and node 7 with weight 3,\nan edge between node 7 and node 15 with weight 6,\nan edge between node 10 and node 7 with weight 8,\nan edge between node 9 and node 10 with weight 3,\nan edge between node 15 and node 10 with weight 10,\nan edge between node 10 and node 16 with weight 7,\nan edge between node 12 and node 15 with weight 4,\nan edge between node 16 and node 15 with weight 2,\nQ: Give the shortest path from node 3 to node 0:"
            },
            {
                "from": "gpt",
                "value": "3->6->1->0."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph174",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge between node 1 and node 0 with weight 7,\nan edge between node 0 and node 6 with weight 8,\nan edge between node 1 and node 3 with weight 4,\nan edge between node 1 and node 6 with weight 7,\nan edge between node 3 and node 2 with weight 10,\nan edge between node 9 and node 2 with weight 2,\nan edge between node 10 and node 2 with weight 9,\nan edge between node 3 and node 11 with weight 6,\nan edge between node 9 and node 3 with weight 2,\nan edge between node 4 and node 11 with weight 8,\nan edge between node 9 and node 4 with weight 8,\nan edge between node 5 and node 4 with weight 9,\nan edge between node 5 and node 9 with weight 10,\nan edge between node 6 and node 11 with weight 2,\nan edge between node 6 and node 8 with weight 8,\nan edge between node 8 and node 7 with weight 10,\nQ: Give the shortest path from node 2 to node 0:"
            },
            {
                "from": "gpt",
                "value": "2->9->3->1->0."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph316",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge between node 0 and node 8 with weight 5,\nan edge between node 3 and node 0 with weight 8,\nan edge between node 8 and node 1 with weight 2,\nan edge between node 1 and node 3 with weight 10,\nan edge between node 1 and node 6 with weight 3,\nan edge between node 9 and node 2 with weight 6,\nan edge between node 9 and node 3 with weight 3,\nan edge between node 3 and node 10 with weight 9,\nan edge between node 3 and node 7 with weight 3,\nan edge between node 6 and node 4 with weight 2,\nan edge between node 10 and node 5 with weight 9,\nan edge between node 5 and node 11 with weight 4,\nan edge between node 8 and node 6 with weight 8,\nan edge between node 9 and node 7 with weight 6,\nan edge between node 10 and node 7 with weight 4,\nan edge between node 12 and node 8 with weight 9,\nan edge between node 8 and node 10 with weight 1,\nan edge between node 9 and node 12 with weight 5,\nQ: Give the shortest path from node 4 to node 11:"
            },
            {
                "from": "gpt",
                "value": "4->6->1->8->10->5->11."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph180",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge between node 1 and node 0 with weight 8,\nan edge between node 3 and node 0 with weight 1,\nan edge between node 0 and node 6 with weight 4,\nan edge between node 0 and node 2 with weight 5,\nan edge between node 0 and node 9 with weight 2,\nan edge between node 8 and node 1 with weight 3,\nan edge between node 2 and node 8 with weight 10,\nan edge between node 2 and node 7 with weight 8,\nan edge between node 10 and node 3 with weight 6,\nan edge between node 3 and node 8 with weight 1,\nan edge between node 7 and node 3 with weight 1,\nan edge between node 4 and node 5 with weight 2,\nan edge between node 7 and node 4 with weight 3,\nan edge between node 11 and node 5 with weight 10,\nan edge between node 6 and node 8 with weight 10,\nan edge between node 6 and node 9 with weight 4,\nan edge between node 11 and node 9 with weight 8,\nQ: Give the shortest path from node 5 to node 10:"
            },
            {
                "from": "gpt",
                "value": "5->4->7->3->10."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1063",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge between node 0 and node 11 with weight 3,\nan edge between node 5 and node 0 with weight 9,\nan edge between node 3 and node 0 with weight 1,\nan edge between node 0 and node 9 with weight 7,\nan edge between node 0 and node 12 with weight 4,\nan edge between node 4 and node 1 with weight 5,\nan edge between node 1 and node 14 with weight 6,\nan edge between node 6 and node 1 with weight 10,\nan edge between node 4 and node 2 with weight 10,\nan edge between node 17 and node 2 with weight 4,\nan edge between node 2 and node 14 with weight 6,\nan edge between node 2 and node 5 with weight 10,\nan edge between node 2 and node 8 with weight 1,\nan edge between node 7 and node 2 with weight 2,\nan edge between node 16 and node 2 with weight 9,\nan edge between node 3 and node 4 with weight 9,\nan edge between node 8 and node 3 with weight 9,\nan edge between node 16 and node 3 with weight 1,\nan edge between node 17 and node 4 with weight 8,\nan edge between node 4 and node 14 with weight 4,\nan edge between node 8 and node 4 with weight 7,\nan edge between node 5 and node 14 with weight 7,\nan edge between node 5 and node 15 with weight 6,\nan edge between node 5 and node 7 with weight 1,\nan edge between node 18 and node 7 with weight 10,\nan edge between node 14 and node 7 with weight 8,\nan edge between node 7 and node 10 with weight 4,\nan edge between node 18 and node 8 with weight 8,\nan edge between node 17 and node 8 with weight 4,\nan edge between node 8 and node 13 with weight 3,\nan edge between node 8 and node 10 with weight 4,\nan edge between node 9 and node 10 with weight 4,\nan edge between node 12 and node 9 with weight 5,\nan edge between node 10 and node 17 with weight 4,\nan edge between node 10 and node 13 with weight 3,\nan edge between node 12 and node 10 with weight 2,\nan edge between node 14 and node 11 with weight 8,\nan edge between node 11 and node 15 with weight 8,\nan edge between node 11 and node 12 with weight 1,\nan edge between node 12 and node 18 with weight 3,\nan edge between node 17 and node 12 with weight 7,\nan edge between node 16 and node 12 with weight 3,\nan edge between node 14 and node 13 with weight 9,\nan edge between node 16 and node 13 with weight 10,\nQ: Give the shortest path from node 6 to node 9:"
            },
            {
                "from": "gpt",
                "value": "6->1->14->11->12->9."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1104",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 13 and node 0 with weight 10,\nan edge between node 9 and node 0 with weight 6,\nan edge between node 2 and node 0 with weight 7,\nan edge between node 11 and node 1 with weight 9,\nan edge between node 1 and node 13 with weight 4,\nan edge between node 2 and node 17 with weight 9,\nan edge between node 2 and node 18 with weight 6,\nan edge between node 8 and node 3 with weight 5,\nan edge between node 3 and node 11 with weight 6,\nan edge between node 4 and node 3 with weight 3,\nan edge between node 18 and node 3 with weight 10,\nan edge between node 4 and node 14 with weight 5,\nan edge between node 4 and node 7 with weight 5,\nan edge between node 5 and node 10 with weight 7,\nan edge between node 6 and node 17 with weight 8,\nan edge between node 13 and node 6 with weight 8,\nan edge between node 7 and node 6 with weight 4,\nan edge between node 6 and node 18 with weight 7,\nan edge between node 8 and node 7 with weight 10,\nan edge between node 7 and node 16 with weight 7,\nan edge between node 8 and node 9 with weight 3,\nan edge between node 8 and node 18 with weight 2,\nan edge between node 11 and node 9 with weight 2,\nan edge between node 10 and node 17 with weight 1,\nan edge between node 10 and node 11 with weight 1,\nan edge between node 17 and node 11 with weight 1,\nan edge between node 14 and node 12 with weight 3,\nan edge between node 12 and node 19 with weight 4,\nan edge between node 14 and node 13 with weight 9,\nan edge between node 13 and node 15 with weight 5,\nan edge between node 14 and node 17 with weight 3,\nan edge between node 19 and node 16 with weight 6,\nan edge between node 18 and node 16 with weight 3,\nQ: Give the shortest path from node 5 to node 6:"
            },
            {
                "from": "gpt",
                "value": "5->10->17->6."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph489",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge between node 3 and node 0 with weight 7,\nan edge between node 8 and node 0 with weight 1,\nan edge between node 7 and node 0 with weight 5,\nan edge between node 1 and node 12 with weight 7,\nan edge between node 1 and node 6 with weight 9,\nan edge between node 2 and node 1 with weight 8,\nan edge between node 10 and node 2 with weight 8,\nan edge between node 14 and node 2 with weight 6,\nan edge between node 7 and node 2 with weight 1,\nan edge between node 2 and node 11 with weight 7,\nan edge between node 13 and node 3 with weight 3,\nan edge between node 3 and node 12 with weight 5,\nan edge between node 7 and node 3 with weight 2,\nan edge between node 5 and node 3 with weight 1,\nan edge between node 7 and node 4 with weight 7,\nan edge between node 5 and node 13 with weight 10,\nan edge between node 9 and node 5 with weight 3,\nan edge between node 7 and node 5 with weight 5,\nan edge between node 13 and node 6 with weight 2,\nan edge between node 6 and node 12 with weight 2,\nan edge between node 12 and node 7 with weight 8,\nan edge between node 14 and node 10 with weight 2,\nQ: Give the shortest path from node 14 to node 12:"
            },
            {
                "from": "gpt",
                "value": "14->2->7->3->12."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph763",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 0 and node 8 with weight 6,\nan edge between node 0 and node 16 with weight 10,\nan edge between node 10 and node 0 with weight 9,\nan edge between node 12 and node 0 with weight 5,\nan edge between node 8 and node 1 with weight 8,\nan edge between node 4 and node 1 with weight 8,\nan edge between node 13 and node 1 with weight 3,\nan edge between node 16 and node 2 with weight 9,\nan edge between node 2 and node 6 with weight 7,\nan edge between node 10 and node 2 with weight 2,\nan edge between node 2 and node 4 with weight 3,\nan edge between node 14 and node 2 with weight 9,\nan edge between node 13 and node 2 with weight 6,\nan edge between node 15 and node 3 with weight 9,\nan edge between node 13 and node 3 with weight 2,\nan edge between node 3 and node 11 with weight 9,\nan edge between node 4 and node 8 with weight 10,\nan edge between node 4 and node 5 with weight 9,\nan edge between node 5 and node 9 with weight 6,\nan edge between node 6 and node 15 with weight 5,\nan edge between node 6 and node 12 with weight 5,\nan edge between node 7 and node 13 with weight 1,\nan edge between node 9 and node 8 with weight 8,\nan edge between node 12 and node 8 with weight 2,\nan edge between node 13 and node 9 with weight 5,\nan edge between node 9 and node 12 with weight 9,\nan edge between node 12 and node 10 with weight 5,\nan edge between node 11 and node 14 with weight 3,\nan edge between node 14 and node 12 with weight 7,\nan edge between node 14 and node 13 with weight 1,\nan edge between node 14 and node 16 with weight 4,\nQ: Give the shortest path from node 16 to node 5:"
            },
            {
                "from": "gpt",
                "value": "16->14->13->9->5."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph898",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge between node 8 and node 0 with weight 5,\nan edge between node 9 and node 0 with weight 3,\nan edge between node 0 and node 14 with weight 2,\nan edge between node 0 and node 16 with weight 1,\nan edge between node 0 and node 7 with weight 3,\nan edge between node 0 and node 13 with weight 7,\nan edge between node 10 and node 0 with weight 10,\nan edge between node 17 and node 1 with weight 5,\nan edge between node 1 and node 3 with weight 10,\nan edge between node 1 and node 13 with weight 6,\nan edge between node 8 and node 2 with weight 8,\nan edge between node 3 and node 17 with weight 8,\nan edge between node 12 and node 3 with weight 1,\nan edge between node 3 and node 8 with weight 8,\nan edge between node 3 and node 15 with weight 8,\nan edge between node 5 and node 3 with weight 3,\nan edge between node 3 and node 10 with weight 1,\nan edge between node 12 and node 4 with weight 7,\nan edge between node 4 and node 7 with weight 4,\nan edge between node 5 and node 12 with weight 5,\nan edge between node 11 and node 5 with weight 6,\nan edge between node 16 and node 5 with weight 3,\nan edge between node 6 and node 13 with weight 7,\nan edge between node 17 and node 7 with weight 1,\nan edge between node 7 and node 11 with weight 10,\nan edge between node 13 and node 7 with weight 9,\nan edge between node 9 and node 17 with weight 9,\nan edge between node 9 and node 12 with weight 2,\nan edge between node 14 and node 10 with weight 3,\nan edge between node 16 and node 10 with weight 7,\nan edge between node 11 and node 17 with weight 6,\nan edge between node 13 and node 17 with weight 5,\nQ: Give the shortest path from node 4 to node 8:"
            },
            {
                "from": "gpt",
                "value": "4->7->0->8."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph81",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 8 and node 0 with weight 5,\nan edge between node 0 and node 4 with weight 1,\nan edge between node 0 and node 2 with weight 1,\nan edge between node 6 and node 1 with weight 5,\nan edge between node 9 and node 1 with weight 6,\nan edge between node 5 and node 1 with weight 6,\nan edge between node 5 and node 2 with weight 9,\nan edge between node 2 and node 10 with weight 7,\nan edge between node 3 and node 6 with weight 4,\nan edge between node 8 and node 4 with weight 7,\nan edge between node 10 and node 4 with weight 1,\nan edge between node 8 and node 5 with weight 2,\nan edge between node 5 and node 7 with weight 8,\nan edge between node 5 and node 9 with weight 3,\nan edge between node 7 and node 6 with weight 4,\nan edge between node 8 and node 7 with weight 2,\nan edge between node 8 and node 10 with weight 2,\nan edge between node 9 and node 10 with weight 10,\nQ: Give the shortest path from node 2 to node 3:"
            },
            {
                "from": "gpt",
                "value": "2->0->4->10->8->7->6->3."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph561",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge between node 6 and node 0 with weight 1,\nan edge between node 0 and node 14 with weight 5,\nan edge between node 0 and node 13 with weight 1,\nan edge between node 0 and node 3 with weight 1,\nan edge between node 1 and node 6 with weight 6,\nan edge between node 1 and node 14 with weight 5,\nan edge between node 7 and node 2 with weight 1,\nan edge between node 2 and node 5 with weight 6,\nan edge between node 2 and node 11 with weight 5,\nan edge between node 14 and node 2 with weight 1,\nan edge between node 5 and node 3 with weight 8,\nan edge between node 11 and node 3 with weight 1,\nan edge between node 6 and node 3 with weight 1,\nan edge between node 12 and node 4 with weight 3,\nan edge between node 9 and node 4 with weight 8,\nan edge between node 4 and node 11 with weight 7,\nan edge between node 5 and node 11 with weight 10,\nan edge between node 6 and node 8 with weight 7,\nan edge between node 7 and node 9 with weight 8,\nan edge between node 10 and node 7 with weight 6,\nan edge between node 12 and node 8 with weight 4,\nan edge between node 8 and node 11 with weight 6,\nan edge between node 8 and node 10 with weight 10,\nan edge between node 10 and node 12 with weight 7,\nQ: Give the shortest path from node 9 to node 13:"
            },
            {
                "from": "gpt",
                "value": "9->7->2->14->0->13."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph516",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge between node 0 and node 2 with weight 8,\nan edge between node 6 and node 0 with weight 2,\nan edge between node 1 and node 8 with weight 2,\nan edge between node 2 and node 10 with weight 4,\nan edge between node 2 and node 11 with weight 10,\nan edge between node 12 and node 2 with weight 8,\nan edge between node 10 and node 3 with weight 4,\nan edge between node 3 and node 13 with weight 9,\nan edge between node 3 and node 4 with weight 1,\nan edge between node 14 and node 3 with weight 4,\nan edge between node 3 and node 12 with weight 1,\nan edge between node 7 and node 4 with weight 4,\nan edge between node 9 and node 5 with weight 9,\nan edge between node 11 and node 5 with weight 1,\nan edge between node 6 and node 8 with weight 6,\nan edge between node 11 and node 8 with weight 3,\nan edge between node 9 and node 10 with weight 9,\nan edge between node 10 and node 13 with weight 2,\nan edge between node 10 and node 14 with weight 10,\nan edge between node 13 and node 11 with weight 3,\nQ: Give the shortest path from node 9 to node 2:"
            },
            {
                "from": "gpt",
                "value": "9->10->2."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph919",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge between node 12 and node 0 with weight 2,\nan edge between node 0 and node 2 with weight 1,\nan edge between node 1 and node 11 with weight 6,\nan edge between node 10 and node 1 with weight 7,\nan edge between node 1 and node 5 with weight 2,\nan edge between node 2 and node 7 with weight 2,\nan edge between node 9 and node 2 with weight 8,\nan edge between node 13 and node 2 with weight 1,\nan edge between node 11 and node 2 with weight 8,\nan edge between node 2 and node 10 with weight 2,\nan edge between node 2 and node 14 with weight 4,\nan edge between node 15 and node 3 with weight 7,\nan edge between node 3 and node 4 with weight 4,\nan edge between node 3 and node 12 with weight 10,\nan edge between node 4 and node 14 with weight 1,\nan edge between node 5 and node 7 with weight 9,\nan edge between node 5 and node 14 with weight 3,\nan edge between node 6 and node 11 with weight 6,\nan edge between node 7 and node 13 with weight 8,\nan edge between node 14 and node 7 with weight 7,\nan edge between node 8 and node 15 with weight 6,\nan edge between node 9 and node 15 with weight 5,\nan edge between node 14 and node 9 with weight 9,\nan edge between node 10 and node 11 with weight 8,\nan edge between node 16 and node 10 with weight 4,\nan edge between node 17 and node 11 with weight 7,\nan edge between node 12 and node 11 with weight 1,\nan edge between node 12 and node 13 with weight 9,\nan edge between node 12 and node 15 with weight 10,\nan edge between node 12 and node 14 with weight 6,\nan edge between node 13 and node 15 with weight 9,\nan edge between node 14 and node 13 with weight 3,\nan edge between node 17 and node 16 with weight 8,\nQ: Give the shortest path from node 8 to node 16:"
            },
            {
                "from": "gpt",
                "value": "8->15->13->2->10->16."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1019",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge between node 5 and node 0 with weight 3,\nan edge between node 0 and node 12 with weight 8,\nan edge between node 0 and node 4 with weight 10,\nan edge between node 0 and node 17 with weight 7,\nan edge between node 1 and node 2 with weight 9,\nan edge between node 2 and node 5 with weight 6,\nan edge between node 11 and node 2 with weight 5,\nan edge between node 2 and node 6 with weight 10,\nan edge between node 2 and node 14 with weight 2,\nan edge between node 12 and node 3 with weight 10,\nan edge between node 3 and node 10 with weight 9,\nan edge between node 7 and node 3 with weight 8,\nan edge between node 4 and node 3 with weight 1,\nan edge between node 14 and node 3 with weight 5,\nan edge between node 16 and node 4 with weight 3,\nan edge between node 4 and node 12 with weight 5,\nan edge between node 9 and node 4 with weight 2,\nan edge between node 12 and node 5 with weight 8,\nan edge between node 5 and node 8 with weight 3,\nan edge between node 5 and node 6 with weight 9,\nan edge between node 13 and node 6 with weight 6,\nan edge between node 6 and node 9 with weight 9,\nan edge between node 7 and node 18 with weight 6,\nan edge between node 7 and node 17 with weight 1,\nan edge between node 8 and node 17 with weight 10,\nan edge between node 9 and node 12 with weight 2,\nan edge between node 9 and node 11 with weight 1,\nan edge between node 14 and node 9 with weight 3,\nan edge between node 16 and node 10 with weight 7,\nan edge between node 15 and node 17 with weight 6,\nan edge between node 16 and node 17 with weight 4,\nQ: Give the shortest path from node 13 to node 16:"
            },
            {
                "from": "gpt",
                "value": "13->6->9->4->16."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph454",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge between node 12 and node 0 with weight 7,\nan edge between node 13 and node 0 with weight 6,\nan edge between node 1 and node 7 with weight 7,\nan edge between node 9 and node 1 with weight 3,\nan edge between node 8 and node 2 with weight 4,\nan edge between node 2 and node 9 with weight 10,\nan edge between node 12 and node 3 with weight 6,\nan edge between node 3 and node 7 with weight 10,\nan edge between node 3 and node 11 with weight 3,\nan edge between node 5 and node 4 with weight 3,\nan edge between node 10 and node 4 with weight 7,\nan edge between node 4 and node 8 with weight 7,\nan edge between node 5 and node 6 with weight 7,\nan edge between node 5 and node 11 with weight 8,\nan edge between node 6 and node 12 with weight 8,\nan edge between node 11 and node 8 with weight 10,\nan edge between node 9 and node 8 with weight 9,\nan edge between node 9 and node 10 with weight 7,\nQ: Give the shortest path from node 13 to node 10:"
            },
            {
                "from": "gpt",
                "value": "13->0->12->6->5->4->10."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph593",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge between node 12 and node 0 with weight 7,\nan edge between node 5 and node 1 with weight 10,\nan edge between node 1 and node 14 with weight 4,\nan edge between node 1 and node 2 with weight 10,\nan edge between node 6 and node 1 with weight 6,\nan edge between node 8 and node 1 with weight 5,\nan edge between node 2 and node 4 with weight 7,\nan edge between node 14 and node 2 with weight 7,\nan edge between node 2 and node 11 with weight 6,\nan edge between node 8 and node 2 with weight 6,\nan edge between node 4 and node 3 with weight 7,\nan edge between node 3 and node 7 with weight 9,\nan edge between node 3 and node 14 with weight 3,\nan edge between node 3 and node 9 with weight 6,\nan edge between node 6 and node 3 with weight 7,\nan edge between node 3 and node 13 with weight 1,\nan edge between node 7 and node 4 with weight 1,\nan edge between node 4 and node 11 with weight 4,\nan edge between node 4 and node 13 with weight 3,\nan edge between node 5 and node 9 with weight 2,\nan edge between node 6 and node 14 with weight 4,\nan edge between node 6 and node 11 with weight 5,\nan edge between node 8 and node 6 with weight 3,\nan edge between node 12 and node 6 with weight 1,\nan edge between node 11 and node 7 with weight 1,\nan edge between node 10 and node 8 with weight 1,\nan edge between node 14 and node 8 with weight 3,\nan edge between node 8 and node 11 with weight 3,\nan edge between node 12 and node 8 with weight 4,\nan edge between node 10 and node 12 with weight 1,\nQ: Give the shortest path from node 13 to node 10:"
            },
            {
                "from": "gpt",
                "value": "13->3->14->8->10."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph969",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge between node 0 and node 15 with weight 8,\nan edge between node 0 and node 7 with weight 2,\nan edge between node 6 and node 1 with weight 5,\nan edge between node 5 and node 1 with weight 1,\nan edge between node 1 and node 15 with weight 10,\nan edge between node 5 and node 2 with weight 3,\nan edge between node 2 and node 4 with weight 2,\nan edge between node 13 and node 3 with weight 1,\nan edge between node 17 and node 3 with weight 4,\nan edge between node 3 and node 8 with weight 3,\nan edge between node 15 and node 3 with weight 4,\nan edge between node 3 and node 7 with weight 6,\nan edge between node 10 and node 3 with weight 9,\nan edge between node 4 and node 12 with weight 6,\nan edge between node 8 and node 4 with weight 6,\nan edge between node 5 and node 12 with weight 5,\nan edge between node 5 and node 8 with weight 7,\nan edge between node 15 and node 5 with weight 3,\nan edge between node 16 and node 5 with weight 9,\nan edge between node 6 and node 11 with weight 1,\nan edge between node 9 and node 6 with weight 6,\nan edge between node 17 and node 7 with weight 9,\nan edge between node 8 and node 18 with weight 10,\nan edge between node 14 and node 9 with weight 10,\nan edge between node 9 and node 18 with weight 2,\nan edge between node 9 and node 16 with weight 10,\nan edge between node 10 and node 9 with weight 4,\nan edge between node 10 and node 12 with weight 10,\nan edge between node 17 and node 10 with weight 1,\nan edge between node 17 and node 11 with weight 3,\nan edge between node 12 and node 13 with weight 6,\nan edge between node 12 and node 17 with weight 5,\nan edge between node 18 and node 14 with weight 4,\nQ: Give the shortest path from node 10 to node 1:"
            },
            {
                "from": "gpt",
                "value": "10->17->11->6->1."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph879",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge between node 12 and node 0 with weight 2,\nan edge between node 0 and node 6 with weight 7,\nan edge between node 0 and node 3 with weight 1,\nan edge between node 15 and node 0 with weight 4,\nan edge between node 5 and node 1 with weight 7,\nan edge between node 7 and node 1 with weight 8,\nan edge between node 1 and node 4 with weight 9,\nan edge between node 1 and node 17 with weight 3,\nan edge between node 12 and node 2 with weight 2,\nan edge between node 6 and node 2 with weight 2,\nan edge between node 2 and node 15 with weight 2,\nan edge between node 3 and node 14 with weight 7,\nan edge between node 3 and node 15 with weight 9,\nan edge between node 13 and node 3 with weight 8,\nan edge between node 4 and node 5 with weight 1,\nan edge between node 15 and node 4 with weight 1,\nan edge between node 4 and node 16 with weight 1,\nan edge between node 4 and node 17 with weight 9,\nan edge between node 15 and node 5 with weight 8,\nan edge between node 5 and node 11 with weight 8,\nan edge between node 13 and node 6 with weight 4,\nan edge between node 6 and node 10 with weight 4,\nan edge between node 6 and node 11 with weight 2,\nan edge between node 14 and node 7 with weight 1,\nan edge between node 8 and node 7 with weight 9,\nan edge between node 7 and node 16 with weight 6,\nan edge between node 7 and node 11 with weight 5,\nan edge between node 7 and node 9 with weight 6,\nan edge between node 8 and node 14 with weight 5,\nan edge between node 8 and node 17 with weight 9,\nan edge between node 11 and node 8 with weight 10,\nan edge between node 9 and node 11 with weight 6,\nan edge between node 10 and node 14 with weight 2,\nan edge between node 17 and node 10 with weight 7,\nan edge between node 11 and node 14 with weight 5,\nan edge between node 13 and node 11 with weight 7,\nan edge between node 13 and node 12 with weight 6,\nan edge between node 16 and node 12 with weight 8,\nan edge between node 15 and node 13 with weight 2,\nan edge between node 13 and node 16 with weight 2,\nQ: Give the shortest path from node 6 to node 1:"
            },
            {
                "from": "gpt",
                "value": "6->2->15->4->5->1."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph493",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge between node 0 and node 11 with weight 3,\nan edge between node 0 and node 2 with weight 9,\nan edge between node 13 and node 1 with weight 5,\nan edge between node 14 and node 2 with weight 4,\nan edge between node 3 and node 14 with weight 6,\nan edge between node 6 and node 3 with weight 5,\nan edge between node 13 and node 3 with weight 7,\nan edge between node 12 and node 4 with weight 3,\nan edge between node 4 and node 5 with weight 10,\nan edge between node 4 and node 14 with weight 1,\nan edge between node 6 and node 4 with weight 7,\nan edge between node 4 and node 9 with weight 3,\nan edge between node 7 and node 5 with weight 5,\nan edge between node 6 and node 7 with weight 6,\nan edge between node 8 and node 7 with weight 4,\nan edge between node 9 and node 7 with weight 3,\nan edge between node 11 and node 8 with weight 5,\nan edge between node 10 and node 9 with weight 5,\nan edge between node 11 and node 10 with weight 1,\nQ: Give the shortest path from node 1 to node 11:"
            },
            {
                "from": "gpt",
                "value": "1->13->3->14->4->9->10->11."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph759",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 9 and node 0 with weight 7,\nan edge between node 13 and node 0 with weight 7,\nan edge between node 0 and node 14 with weight 4,\nan edge between node 7 and node 0 with weight 5,\nan edge between node 6 and node 1 with weight 8,\nan edge between node 12 and node 1 with weight 10,\nan edge between node 1 and node 10 with weight 10,\nan edge between node 1 and node 2 with weight 2,\nan edge between node 3 and node 2 with weight 6,\nan edge between node 2 and node 16 with weight 8,\nan edge between node 8 and node 2 with weight 8,\nan edge between node 5 and node 2 with weight 2,\nan edge between node 3 and node 6 with weight 10,\nan edge between node 3 and node 12 with weight 2,\nan edge between node 3 and node 8 with weight 5,\nan edge between node 11 and node 3 with weight 10,\nan edge between node 4 and node 6 with weight 8,\nan edge between node 9 and node 4 with weight 4,\nan edge between node 14 and node 4 with weight 8,\nan edge between node 13 and node 5 with weight 1,\nan edge between node 5 and node 14 with weight 6,\nan edge between node 16 and node 6 with weight 3,\nan edge between node 6 and node 12 with weight 5,\nan edge between node 14 and node 6 with weight 6,\nan edge between node 7 and node 13 with weight 2,\nan edge between node 8 and node 14 with weight 8,\nan edge between node 9 and node 14 with weight 10,\nan edge between node 10 and node 13 with weight 10,\nan edge between node 10 and node 14 with weight 5,\nan edge between node 12 and node 15 with weight 9,\nan edge between node 12 and node 14 with weight 8,\nQ: Give the shortest path from node 2 to node 11:"
            },
            {
                "from": "gpt",
                "value": "2->3->11."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph375",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge between node 1 and node 0 with weight 10,\nan edge between node 9 and node 0 with weight 8,\nan edge between node 1 and node 3 with weight 7,\nan edge between node 2 and node 1 with weight 6,\nan edge between node 10 and node 1 with weight 3,\nan edge between node 1 and node 6 with weight 8,\nan edge between node 2 and node 3 with weight 6,\nan edge between node 12 and node 2 with weight 3,\nan edge between node 10 and node 2 with weight 6,\nan edge between node 3 and node 10 with weight 10,\nan edge between node 13 and node 4 with weight 7,\nan edge between node 5 and node 6 with weight 3,\nan edge between node 12 and node 7 with weight 7,\nan edge between node 8 and node 11 with weight 5,\nan edge between node 9 and node 10 with weight 9,\nan edge between node 13 and node 11 with weight 1,\nan edge between node 11 and node 12 with weight 5,\nQ: Give the shortest path from node 8 to node 5:"
            },
            {
                "from": "gpt",
                "value": "8->11->12->2->1->6->5."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph167",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge between node 10 and node 0 with weight 5,\nan edge between node 4 and node 0 with weight 2,\nan edge between node 10 and node 1 with weight 2,\nan edge between node 1 and node 5 with weight 5,\nan edge between node 2 and node 1 with weight 5,\nan edge between node 1 and node 7 with weight 7,\nan edge between node 1 and node 11 with weight 10,\nan edge between node 1 and node 4 with weight 8,\nan edge between node 2 and node 3 with weight 7,\nan edge between node 3 and node 10 with weight 9,\nan edge between node 4 and node 3 with weight 6,\nan edge between node 4 and node 10 with weight 9,\nan edge between node 8 and node 5 with weight 7,\nan edge between node 6 and node 10 with weight 4,\nan edge between node 6 and node 8 with weight 6,\nan edge between node 9 and node 7 with weight 2,\nan edge between node 7 and node 10 with weight 2,\nan edge between node 8 and node 7 with weight 10,\nan edge between node 10 and node 9 with weight 3,\nan edge between node 11 and node 10 with weight 4,\nQ: Give the shortest path from node 5 to node 3:"
            },
            {
                "from": "gpt",
                "value": "5->1->10->3."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph404",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge between node 0 and node 5 with weight 8,\nan edge between node 0 and node 8 with weight 3,\nan edge between node 6 and node 0 with weight 8,\nan edge between node 1 and node 0 with weight 6,\nan edge between node 9 and node 1 with weight 7,\nan edge between node 7 and node 1 with weight 2,\nan edge between node 11 and node 1 with weight 2,\nan edge between node 1 and node 3 with weight 10,\nan edge between node 2 and node 3 with weight 10,\nan edge between node 4 and node 3 with weight 5,\nan edge between node 4 and node 7 with weight 3,\nan edge between node 5 and node 8 with weight 4,\nan edge between node 6 and node 5 with weight 8,\nan edge between node 5 and node 13 with weight 10,\nan edge between node 5 and node 12 with weight 10,\nan edge between node 11 and node 5 with weight 7,\nan edge between node 8 and node 12 with weight 8,\nan edge between node 10 and node 13 with weight 6,\nan edge between node 12 and node 13 with weight 2,\nQ: Give the shortest path from node 10 to node 4:"
            },
            {
                "from": "gpt",
                "value": "10->13->12->8->0->1->7->4."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph498",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge between node 0 and node 13 with weight 7,\nan edge between node 0 and node 2 with weight 2,\nan edge between node 6 and node 1 with weight 10,\nan edge between node 8 and node 1 with weight 8,\nan edge between node 2 and node 6 with weight 3,\nan edge between node 14 and node 2 with weight 4,\nan edge between node 5 and node 2 with weight 5,\nan edge between node 3 and node 14 with weight 2,\nan edge between node 3 and node 8 with weight 6,\nan edge between node 12 and node 3 with weight 8,\nan edge between node 4 and node 7 with weight 1,\nan edge between node 6 and node 5 with weight 7,\nan edge between node 5 and node 7 with weight 5,\nan edge between node 6 and node 14 with weight 3,\nan edge between node 6 and node 13 with weight 3,\nan edge between node 13 and node 8 with weight 2,\nan edge between node 10 and node 8 with weight 1,\nan edge between node 11 and node 9 with weight 2,\nan edge between node 10 and node 9 with weight 5,\nan edge between node 10 and node 14 with weight 8,\nan edge between node 10 and node 12 with weight 2,\nan edge between node 14 and node 11 with weight 2,\nan edge between node 11 and node 12 with weight 7,\nQ: Give the shortest path from node 11 to node 4:"
            },
            {
                "from": "gpt",
                "value": "11->14->2->5->7->4."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph868",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge between node 12 and node 0 with weight 1,\nan edge between node 16 and node 0 with weight 6,\nan edge between node 3 and node 0 with weight 6,\nan edge between node 2 and node 0 with weight 1,\nan edge between node 1 and node 11 with weight 4,\nan edge between node 8 and node 2 with weight 8,\nan edge between node 2 and node 3 with weight 2,\nan edge between node 2 and node 6 with weight 4,\nan edge between node 3 and node 11 with weight 8,\nan edge between node 3 and node 7 with weight 6,\nan edge between node 3 and node 17 with weight 6,\nan edge between node 15 and node 4 with weight 2,\nan edge between node 5 and node 10 with weight 2,\nan edge between node 6 and node 8 with weight 3,\nan edge between node 17 and node 6 with weight 6,\nan edge between node 12 and node 7 with weight 4,\nan edge between node 7 and node 14 with weight 9,\nan edge between node 8 and node 10 with weight 10,\nan edge between node 11 and node 9 with weight 1,\nan edge between node 9 and node 10 with weight 4,\nan edge between node 12 and node 10 with weight 5,\nan edge between node 13 and node 10 with weight 6,\nan edge between node 11 and node 13 with weight 1,\nan edge between node 12 and node 14 with weight 7,\nan edge between node 13 and node 16 with weight 2,\nan edge between node 14 and node 17 with weight 7,\nan edge between node 15 and node 17 with weight 5,\nQ: Give the shortest path from node 5 to node 4:"
            },
            {
                "from": "gpt",
                "value": "5->10->12->0->2->3->17->15->4."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph477",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge between node 8 and node 0 with weight 6,\nan edge between node 5 and node 0 with weight 9,\nan edge between node 1 and node 10 with weight 5,\nan edge between node 2 and node 13 with weight 3,\nan edge between node 9 and node 3 with weight 3,\nan edge between node 3 and node 7 with weight 8,\nan edge between node 8 and node 4 with weight 2,\nan edge between node 5 and node 4 with weight 10,\nan edge between node 6 and node 4 with weight 2,\nan edge between node 5 and node 8 with weight 9,\nan edge between node 12 and node 5 with weight 5,\nan edge between node 5 and node 13 with weight 9,\nan edge between node 6 and node 8 with weight 10,\nan edge between node 10 and node 7 with weight 2,\nan edge between node 8 and node 11 with weight 10,\nan edge between node 9 and node 8 with weight 6,\nan edge between node 9 and node 11 with weight 10,\nQ: Give the shortest path from node 10 to node 12:"
            },
            {
                "from": "gpt",
                "value": "10->7->3->9->8->5->12."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1050",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge between node 0 and node 14 with weight 3,\nan edge between node 0 and node 15 with weight 9,\nan edge between node 17 and node 1 with weight 4,\nan edge between node 1 and node 13 with weight 3,\nan edge between node 4 and node 1 with weight 2,\nan edge between node 2 and node 13 with weight 8,\nan edge between node 18 and node 2 with weight 3,\nan edge between node 2 and node 14 with weight 1,\nan edge between node 10 and node 2 with weight 3,\nan edge between node 12 and node 3 with weight 4,\nan edge between node 6 and node 3 with weight 7,\nan edge between node 4 and node 12 with weight 4,\nan edge between node 4 and node 13 with weight 7,\nan edge between node 4 and node 14 with weight 3,\nan edge between node 4 and node 10 with weight 3,\nan edge between node 7 and node 4 with weight 6,\nan edge between node 6 and node 4 with weight 4,\nan edge between node 4 and node 9 with weight 8,\nan edge between node 5 and node 12 with weight 1,\nan edge between node 5 and node 14 with weight 7,\nan edge between node 11 and node 5 with weight 4,\nan edge between node 9 and node 5 with weight 4,\nan edge between node 17 and node 6 with weight 10,\nan edge between node 6 and node 10 with weight 7,\nan edge between node 8 and node 13 with weight 3,\nan edge between node 8 and node 14 with weight 10,\nan edge between node 9 and node 14 with weight 8,\nan edge between node 9 and node 16 with weight 3,\nan edge between node 10 and node 17 with weight 9,\nan edge between node 10 and node 16 with weight 4,\nan edge between node 12 and node 16 with weight 2,\nan edge between node 13 and node 18 with weight 4,\nan edge between node 18 and node 14 with weight 2,\nan edge between node 16 and node 18 with weight 2,\nQ: Give the shortest path from node 11 to node 17:"
            },
            {
                "from": "gpt",
                "value": "11->5->12->4->1->17."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1016",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge between node 0 and node 12 with weight 4,\nan edge between node 0 and node 16 with weight 2,\nan edge between node 0 and node 9 with weight 2,\nan edge between node 1 and node 8 with weight 2,\nan edge between node 12 and node 1 with weight 3,\nan edge between node 1 and node 18 with weight 5,\nan edge between node 1 and node 6 with weight 3,\nan edge between node 2 and node 11 with weight 6,\nan edge between node 18 and node 2 with weight 9,\nan edge between node 2 and node 7 with weight 2,\nan edge between node 17 and node 3 with weight 9,\nan edge between node 3 and node 10 with weight 9,\nan edge between node 8 and node 4 with weight 7,\nan edge between node 5 and node 14 with weight 7,\nan edge between node 13 and node 6 with weight 2,\nan edge between node 6 and node 18 with weight 9,\nan edge between node 6 and node 7 with weight 1,\nan edge between node 12 and node 7 with weight 9,\nan edge between node 18 and node 7 with weight 6,\nan edge between node 8 and node 11 with weight 7,\nan edge between node 8 and node 13 with weight 8,\nan edge between node 12 and node 9 with weight 9,\nan edge between node 10 and node 13 with weight 1,\nan edge between node 15 and node 10 with weight 7,\nan edge between node 16 and node 11 with weight 4,\nan edge between node 14 and node 12 with weight 9,\nan edge between node 18 and node 12 with weight 10,\nan edge between node 17 and node 13 with weight 2,\nan edge between node 17 and node 16 with weight 5,\nan edge between node 17 and node 18 with weight 1,\nQ: Give the shortest path from node 5 to node 15:"
            },
            {
                "from": "gpt",
                "value": "5->14->12->1->6->13->10->15."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph25",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 10 and node 0 with weight 5,\nan edge between node 0 and node 8 with weight 5,\nan edge between node 0 and node 1 with weight 3,\nan edge between node 10 and node 1 with weight 5,\nan edge between node 1 and node 8 with weight 4,\nan edge between node 1 and node 5 with weight 2,\nan edge between node 2 and node 3 with weight 1,\nan edge between node 3 and node 10 with weight 8,\nan edge between node 5 and node 3 with weight 8,\nan edge between node 3 and node 4 with weight 2,\nan edge between node 3 and node 9 with weight 1,\nan edge between node 5 and node 4 with weight 8,\nan edge between node 4 and node 6 with weight 9,\nan edge between node 6 and node 7 with weight 2,\nan edge between node 7 and node 8 with weight 6,\nQ: Give the shortest path from node 9 to node 0:"
            },
            {
                "from": "gpt",
                "value": "9->3->10->0."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph881",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge between node 0 and node 10 with weight 8,\nan edge between node 11 and node 0 with weight 1,\nan edge between node 0 and node 2 with weight 6,\nan edge between node 1 and node 13 with weight 7,\nan edge between node 1 and node 3 with weight 4,\nan edge between node 11 and node 1 with weight 7,\nan edge between node 3 and node 2 with weight 9,\nan edge between node 8 and node 2 with weight 6,\nan edge between node 3 and node 14 with weight 1,\nan edge between node 3 and node 11 with weight 7,\nan edge between node 4 and node 13 with weight 10,\nan edge between node 4 and node 11 with weight 2,\nan edge between node 5 and node 7 with weight 9,\nan edge between node 5 and node 12 with weight 3,\nan edge between node 7 and node 6 with weight 1,\nan edge between node 9 and node 6 with weight 9,\nan edge between node 7 and node 16 with weight 8,\nan edge between node 7 and node 13 with weight 7,\nan edge between node 15 and node 8 with weight 5,\nan edge between node 8 and node 17 with weight 7,\nan edge between node 14 and node 8 with weight 1,\nan edge between node 8 and node 12 with weight 4,\nan edge between node 11 and node 13 with weight 4,\nan edge between node 13 and node 16 with weight 9,\nan edge between node 13 and node 15 with weight 5,\nan edge between node 14 and node 13 with weight 2,\nQ: Give the shortest path from node 6 to node 2:"
            },
            {
                "from": "gpt",
                "value": "6->7->13->14->8->2."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1181",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 11 and node 0 with weight 5,\nan edge between node 0 and node 2 with weight 10,\nan edge between node 0 and node 8 with weight 2,\nan edge between node 0 and node 1 with weight 6,\nan edge between node 1 and node 10 with weight 4,\nan edge between node 13 and node 1 with weight 8,\nan edge between node 6 and node 1 with weight 7,\nan edge between node 2 and node 9 with weight 2,\nan edge between node 2 and node 3 with weight 4,\nan edge between node 6 and node 2 with weight 7,\nan edge between node 3 and node 18 with weight 1,\nan edge between node 3 and node 14 with weight 7,\nan edge between node 5 and node 3 with weight 10,\nan edge between node 11 and node 3 with weight 7,\nan edge between node 4 and node 9 with weight 7,\nan edge between node 14 and node 4 with weight 7,\nan edge between node 4 and node 19 with weight 1,\nan edge between node 4 and node 11 with weight 5,\nan edge between node 18 and node 5 with weight 5,\nan edge between node 5 and node 13 with weight 1,\nan edge between node 9 and node 5 with weight 10,\nan edge between node 5 and node 16 with weight 3,\nan edge between node 12 and node 5 with weight 8,\nan edge between node 19 and node 5 with weight 3,\nan edge between node 11 and node 5 with weight 4,\nan edge between node 6 and node 15 with weight 9,\nan edge between node 6 and node 19 with weight 9,\nan edge between node 7 and node 13 with weight 3,\nan edge between node 7 and node 9 with weight 4,\nan edge between node 8 and node 16 with weight 1,\nan edge between node 9 and node 10 with weight 7,\nan edge between node 19 and node 9 with weight 6,\nan edge between node 11 and node 9 with weight 6,\nan edge between node 10 and node 14 with weight 5,\nan edge between node 10 and node 12 with weight 2,\nan edge between node 11 and node 14 with weight 3,\nan edge between node 16 and node 11 with weight 8,\nan edge between node 12 and node 18 with weight 8,\nan edge between node 12 and node 17 with weight 7,\nan edge between node 13 and node 14 with weight 6,\nan edge between node 13 and node 17 with weight 6,\nan edge between node 18 and node 14 with weight 2,\nan edge between node 17 and node 15 with weight 2,\nan edge between node 16 and node 17 with weight 10,\nQ: Give the shortest path from node 7 to node 19:"
            },
            {
                "from": "gpt",
                "value": "7->13->5->19."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph508",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge between node 0 and node 4 with weight 10,\nan edge between node 0 and node 7 with weight 5,\nan edge between node 0 and node 6 with weight 2,\nan edge between node 1 and node 6 with weight 3,\nan edge between node 1 and node 9 with weight 1,\nan edge between node 8 and node 2 with weight 10,\nan edge between node 9 and node 2 with weight 6,\nan edge between node 14 and node 2 with weight 9,\nan edge between node 3 and node 12 with weight 3,\nan edge between node 3 and node 14 with weight 2,\nan edge between node 5 and node 11 with weight 3,\nan edge between node 6 and node 5 with weight 8,\nan edge between node 9 and node 5 with weight 7,\nan edge between node 14 and node 5 with weight 2,\nan edge between node 7 and node 6 with weight 7,\nan edge between node 8 and node 11 with weight 8,\nan edge between node 8 and node 14 with weight 4,\nan edge between node 9 and node 13 with weight 4,\nan edge between node 10 and node 12 with weight 9,\nan edge between node 14 and node 11 with weight 9,\nan edge between node 14 and node 12 with weight 8,\nQ: Give the shortest path from node 4 to node 13:"
            },
            {
                "from": "gpt",
                "value": "4->0->6->1->9->13."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph200",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge between node 0 and node 11 with weight 5,\nan edge between node 1 and node 0 with weight 3,\nan edge between node 0 and node 9 with weight 4,\nan edge between node 6 and node 0 with weight 2,\nan edge between node 4 and node 1 with weight 7,\nan edge between node 11 and node 1 with weight 7,\nan edge between node 1 and node 3 with weight 4,\nan edge between node 2 and node 10 with weight 1,\nan edge between node 4 and node 3 with weight 9,\nan edge between node 4 and node 6 with weight 2,\nan edge between node 9 and node 5 with weight 4,\nan edge between node 5 and node 8 with weight 6,\nan edge between node 6 and node 10 with weight 6,\nan edge between node 7 and node 6 with weight 10,\nan edge between node 10 and node 7 with weight 6,\nan edge between node 7 and node 11 with weight 9,\nQ: Give the shortest path from node 8 to node 2:"
            },
            {
                "from": "gpt",
                "value": "8->5->9->0->6->10->2."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph594",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge between node 1 and node 0 with weight 7,\nan edge between node 3 and node 0 with weight 2,\nan edge between node 0 and node 12 with weight 9,\nan edge between node 0 and node 14 with weight 8,\nan edge between node 5 and node 1 with weight 6,\nan edge between node 1 and node 10 with weight 3,\nan edge between node 1 and node 7 with weight 2,\nan edge between node 14 and node 1 with weight 1,\nan edge between node 2 and node 5 with weight 6,\nan edge between node 3 and node 2 with weight 7,\nan edge between node 2 and node 12 with weight 6,\nan edge between node 8 and node 3 with weight 1,\nan edge between node 9 and node 3 with weight 1,\nan edge between node 3 and node 14 with weight 4,\nan edge between node 4 and node 8 with weight 7,\nan edge between node 10 and node 4 with weight 2,\nan edge between node 7 and node 4 with weight 2,\nan edge between node 14 and node 4 with weight 1,\nan edge between node 8 and node 5 with weight 6,\nan edge between node 12 and node 5 with weight 7,\nan edge between node 6 and node 8 with weight 10,\nan edge between node 6 and node 11 with weight 8,\nan edge between node 10 and node 6 with weight 8,\nan edge between node 14 and node 6 with weight 4,\nan edge between node 7 and node 13 with weight 1,\nan edge between node 10 and node 7 with weight 9,\nan edge between node 8 and node 12 with weight 10,\nan edge between node 10 and node 12 with weight 5,\nQ: Give the shortest path from node 5 to node 11:"
            },
            {
                "from": "gpt",
                "value": "5->1->14->6->11."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph866",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge between node 8 and node 0 with weight 7,\nan edge between node 10 and node 0 with weight 1,\nan edge between node 17 and node 0 with weight 9,\nan edge between node 0 and node 14 with weight 8,\nan edge between node 11 and node 0 with weight 3,\nan edge between node 0 and node 12 with weight 8,\nan edge between node 1 and node 14 with weight 5,\nan edge between node 1 and node 16 with weight 4,\nan edge between node 7 and node 1 with weight 3,\nan edge between node 1 and node 12 with weight 10,\nan edge between node 3 and node 2 with weight 3,\nan edge between node 2 and node 11 with weight 7,\nan edge between node 3 and node 10 with weight 5,\nan edge between node 3 and node 5 with weight 3,\nan edge between node 8 and node 4 with weight 6,\nan edge between node 4 and node 12 with weight 9,\nan edge between node 5 and node 17 with weight 6,\nan edge between node 5 and node 15 with weight 2,\nan edge between node 6 and node 13 with weight 1,\nan edge between node 14 and node 6 with weight 8,\nan edge between node 6 and node 16 with weight 7,\nan edge between node 17 and node 7 with weight 1,\nan edge between node 7 and node 15 with weight 1,\nan edge between node 7 and node 16 with weight 1,\nan edge between node 10 and node 9 with weight 4,\nan edge between node 17 and node 9 with weight 10,\nan edge between node 9 and node 15 with weight 2,\nan edge between node 10 and node 14 with weight 8,\nan edge between node 10 and node 16 with weight 5,\nan edge between node 11 and node 16 with weight 9,\nan edge between node 17 and node 13 with weight 2,\nan edge between node 14 and node 13 with weight 8,\nan edge between node 17 and node 14 with weight 8,\nan edge between node 14 and node 15 with weight 2,\nan edge between node 16 and node 15 with weight 9,\nQ: Give the shortest path from node 5 to node 12:"
            },
            {
                "from": "gpt",
                "value": "5->15->7->1->12."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph285",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge between node 0 and node 5 with weight 7,\nan edge between node 10 and node 0 with weight 7,\nan edge between node 2 and node 0 with weight 6,\nan edge between node 0 and node 11 with weight 2,\nan edge between node 12 and node 0 with weight 6,\nan edge between node 7 and node 0 with weight 7,\nan edge between node 1 and node 3 with weight 2,\nan edge between node 6 and node 1 with weight 1,\nan edge between node 1 and node 4 with weight 6,\nan edge between node 2 and node 9 with weight 7,\nan edge between node 3 and node 2 with weight 9,\nan edge between node 10 and node 3 with weight 6,\nan edge between node 3 and node 7 with weight 2,\nan edge between node 12 and node 5 with weight 8,\nan edge between node 10 and node 6 with weight 5,\nan edge between node 6 and node 11 with weight 10,\nan edge between node 6 and node 7 with weight 3,\nan edge between node 8 and node 6 with weight 1,\nan edge between node 9 and node 7 with weight 4,\nan edge between node 11 and node 8 with weight 10,\nQ: Give the shortest path from node 12 to node 4:"
            },
            {
                "from": "gpt",
                "value": "12->0->7->3->1->4."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph588",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge between node 0 and node 2 with weight 9,\nan edge between node 0 and node 9 with weight 10,\nan edge between node 8 and node 0 with weight 2,\nan edge between node 14 and node 1 with weight 4,\nan edge between node 1 and node 5 with weight 2,\nan edge between node 3 and node 8 with weight 1,\nan edge between node 7 and node 3 with weight 7,\nan edge between node 4 and node 14 with weight 4,\nan edge between node 4 and node 8 with weight 6,\nan edge between node 4 and node 7 with weight 3,\nan edge between node 9 and node 6 with weight 5,\nan edge between node 7 and node 10 with weight 10,\nan edge between node 7 and node 9 with weight 5,\nan edge between node 8 and node 7 with weight 4,\nan edge between node 14 and node 8 with weight 10,\nan edge between node 11 and node 9 with weight 3,\nan edge between node 11 and node 12 with weight 1,\nan edge between node 14 and node 13 with weight 3,\nQ: Give the shortest path from node 11 to node 5:"
            },
            {
                "from": "gpt",
                "value": "11->9->7->4->14->1->5."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph100",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 0 and node 8 with weight 4,\nan edge between node 3 and node 1 with weight 1,\nan edge between node 1 and node 9 with weight 4,\nan edge between node 6 and node 2 with weight 7,\nan edge between node 8 and node 2 with weight 4,\nan edge between node 8 and node 3 with weight 3,\nan edge between node 6 and node 4 with weight 10,\nan edge between node 7 and node 5 with weight 10,\nan edge between node 10 and node 6 with weight 9,\nan edge between node 9 and node 6 with weight 5,\nan edge between node 7 and node 9 with weight 6,\nQ: Give the shortest path from node 0 to node 5:"
            },
            {
                "from": "gpt",
                "value": "0->8->3->1->9->7->5."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph225",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge between node 7 and node 0 with weight 7,\nan edge between node 0 and node 10 with weight 3,\nan edge between node 6 and node 1 with weight 1,\nan edge between node 1 and node 3 with weight 3,\nan edge between node 4 and node 2 with weight 7,\nan edge between node 8 and node 2 with weight 4,\nan edge between node 4 and node 3 with weight 10,\nan edge between node 8 and node 3 with weight 9,\nan edge between node 3 and node 6 with weight 7,\nan edge between node 10 and node 3 with weight 2,\nan edge between node 5 and node 4 with weight 7,\nan edge between node 4 and node 9 with weight 10,\nan edge between node 11 and node 4 with weight 5,\nan edge between node 9 and node 6 with weight 10,\nan edge between node 7 and node 6 with weight 10,\nan edge between node 8 and node 7 with weight 4,\nQ: Give the shortest path from node 0 to node 5:"
            },
            {
                "from": "gpt",
                "value": "0->10->3->4->5."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph971",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge between node 6 and node 0 with weight 2,\nan edge between node 7 and node 0 with weight 6,\nan edge between node 0 and node 4 with weight 6,\nan edge between node 14 and node 0 with weight 8,\nan edge between node 1 and node 4 with weight 8,\nan edge between node 2 and node 18 with weight 10,\nan edge between node 17 and node 2 with weight 9,\nan edge between node 14 and node 2 with weight 5,\nan edge between node 3 and node 16 with weight 7,\nan edge between node 3 and node 13 with weight 10,\nan edge between node 6 and node 4 with weight 10,\nan edge between node 4 and node 12 with weight 6,\nan edge between node 7 and node 5 with weight 7,\nan edge between node 9 and node 5 with weight 1,\nan edge between node 8 and node 5 with weight 5,\nan edge between node 17 and node 5 with weight 3,\nan edge between node 5 and node 14 with weight 6,\nan edge between node 6 and node 7 with weight 4,\nan edge between node 15 and node 7 with weight 5,\nan edge between node 7 and node 16 with weight 5,\nan edge between node 7 and node 12 with weight 8,\nan edge between node 13 and node 7 with weight 4,\nan edge between node 7 and node 10 with weight 8,\nan edge between node 9 and node 8 with weight 1,\nan edge between node 17 and node 9 with weight 5,\nan edge between node 9 and node 12 with weight 1,\nan edge between node 11 and node 15 with weight 1,\nan edge between node 11 and node 17 with weight 9,\nan edge between node 11 and node 12 with weight 8,\nan edge between node 13 and node 18 with weight 7,\nan edge between node 15 and node 18 with weight 5,\nan edge between node 15 and node 17 with weight 8,\nQ: Give the shortest path from node 1 to node 5:"
            },
            {
                "from": "gpt",
                "value": "1->4->12->9->5."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph810",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 2 and node 0 with weight 2,\nan edge between node 1 and node 0 with weight 2,\nan edge between node 0 and node 5 with weight 2,\nan edge between node 10 and node 1 with weight 2,\nan edge between node 3 and node 1 with weight 5,\nan edge between node 12 and node 2 with weight 7,\nan edge between node 10 and node 2 with weight 3,\nan edge between node 7 and node 2 with weight 6,\nan edge between node 2 and node 6 with weight 3,\nan edge between node 2 and node 11 with weight 2,\nan edge between node 13 and node 2 with weight 5,\nan edge between node 5 and node 2 with weight 10,\nan edge between node 3 and node 14 with weight 5,\nan edge between node 3 and node 16 with weight 2,\nan edge between node 3 and node 5 with weight 4,\nan edge between node 4 and node 14 with weight 2,\nan edge between node 7 and node 4 with weight 3,\nan edge between node 16 and node 4 with weight 6,\nan edge between node 4 and node 6 with weight 1,\nan edge between node 4 and node 5 with weight 5,\nan edge between node 12 and node 5 with weight 1,\nan edge between node 14 and node 5 with weight 10,\nan edge between node 8 and node 5 with weight 3,\nan edge between node 10 and node 5 with weight 8,\nan edge between node 5 and node 11 with weight 6,\nan edge between node 10 and node 6 with weight 1,\nan edge between node 6 and node 16 with weight 4,\nan edge between node 6 and node 13 with weight 5,\nan edge between node 7 and node 14 with weight 10,\nan edge between node 7 and node 9 with weight 4,\nan edge between node 8 and node 11 with weight 6,\nan edge between node 13 and node 9 with weight 1,\nan edge between node 10 and node 16 with weight 9,\nan edge between node 15 and node 10 with weight 5,\nan edge between node 13 and node 10 with weight 1,\nan edge between node 14 and node 12 with weight 3,\nan edge between node 12 and node 13 with weight 6,\nan edge between node 16 and node 13 with weight 10,\nan edge between node 15 and node 13 with weight 1,\nQ: Give the shortest path from node 4 to node 15:"
            },
            {
                "from": "gpt",
                "value": "4->6->10->13->15."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph292",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge between node 0 and node 7 with weight 6,\nan edge between node 0 and node 6 with weight 5,\nan edge between node 0 and node 9 with weight 8,\nan edge between node 0 and node 3 with weight 8,\nan edge between node 1 and node 8 with weight 3,\nan edge between node 1 and node 11 with weight 6,\nan edge between node 1 and node 2 with weight 10,\nan edge between node 10 and node 2 with weight 3,\nan edge between node 2 and node 11 with weight 4,\nan edge between node 4 and node 3 with weight 1,\nan edge between node 6 and node 4 with weight 2,\nan edge between node 5 and node 4 with weight 5,\nan edge between node 12 and node 4 with weight 1,\nan edge between node 6 and node 7 with weight 10,\nan edge between node 10 and node 7 with weight 9,\nan edge between node 7 and node 12 with weight 6,\nan edge between node 9 and node 12 with weight 5,\nQ: Give the shortest path from node 11 to node 5:"
            },
            {
                "from": "gpt",
                "value": "11->2->10->7->12->4->5."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph0",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 0 and node 3 with weight 8,\nan edge between node 0 and node 5 with weight 2,\nan edge between node 2 and node 0 with weight 6,\nan edge between node 0 and node 9 with weight 6,\nan edge between node 7 and node 1 with weight 9,\nan edge between node 3 and node 1 with weight 9,\nan edge between node 5 and node 1 with weight 6,\nan edge between node 2 and node 1 with weight 9,\nan edge between node 8 and node 2 with weight 4,\nan edge between node 3 and node 8 with weight 7,\nan edge between node 8 and node 4 with weight 9,\nan edge between node 6 and node 5 with weight 2,\nan edge between node 10 and node 5 with weight 5,\nan edge between node 6 and node 7 with weight 6,\nan edge between node 10 and node 6 with weight 5,\nQ: Give the shortest path from node 5 to node 8:"
            },
            {
                "from": "gpt",
                "value": "5->0->2->8."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph819",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 10 and node 0 with weight 10,\nan edge between node 0 and node 6 with weight 2,\nan edge between node 0 and node 5 with weight 8,\nan edge between node 2 and node 1 with weight 9,\nan edge between node 1 and node 11 with weight 6,\nan edge between node 14 and node 1 with weight 9,\nan edge between node 5 and node 1 with weight 4,\nan edge between node 1 and node 3 with weight 5,\nan edge between node 16 and node 1 with weight 8,\nan edge between node 15 and node 1 with weight 1,\nan edge between node 2 and node 11 with weight 1,\nan edge between node 2 and node 9 with weight 2,\nan edge between node 5 and node 2 with weight 6,\nan edge between node 8 and node 2 with weight 3,\nan edge between node 16 and node 2 with weight 7,\nan edge between node 3 and node 9 with weight 6,\nan edge between node 15 and node 3 with weight 7,\nan edge between node 4 and node 10 with weight 3,\nan edge between node 8 and node 4 with weight 8,\nan edge between node 5 and node 11 with weight 8,\nan edge between node 14 and node 6 with weight 3,\nan edge between node 6 and node 9 with weight 7,\nan edge between node 6 and node 16 with weight 2,\nan edge between node 15 and node 6 with weight 10,\nan edge between node 7 and node 16 with weight 4,\nan edge between node 7 and node 12 with weight 7,\nan edge between node 8 and node 11 with weight 9,\nan edge between node 8 and node 10 with weight 4,\nan edge between node 8 and node 14 with weight 9,\nan edge between node 12 and node 8 with weight 7,\nan edge between node 12 and node 10 with weight 10,\nan edge between node 16 and node 11 with weight 9,\nan edge between node 13 and node 14 with weight 1,\nQ: Give the shortest path from node 13 to node 1:"
            },
            {
                "from": "gpt",
                "value": "13->14->1."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph36",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 1 and node 0 with weight 10,\nan edge between node 9 and node 1 with weight 1,\nan edge between node 8 and node 1 with weight 2,\nan edge between node 2 and node 10 with weight 4,\nan edge between node 3 and node 9 with weight 7,\nan edge between node 6 and node 3 with weight 8,\nan edge between node 9 and node 4 with weight 10,\nan edge between node 7 and node 5 with weight 1,\nan edge between node 6 and node 9 with weight 2,\nan edge between node 6 and node 10 with weight 2,\nan edge between node 9 and node 7 with weight 2,\nan edge between node 7 and node 10 with weight 5,\nQ: Give the shortest path from node 4 to node 2:"
            },
            {
                "from": "gpt",
                "value": "4->9->6->10->2."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph753",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 0 and node 6 with weight 9,\nan edge between node 0 and node 1 with weight 4,\nan edge between node 10 and node 0 with weight 2,\nan edge between node 11 and node 1 with weight 1,\nan edge between node 13 and node 1 with weight 3,\nan edge between node 2 and node 1 with weight 6,\nan edge between node 5 and node 2 with weight 5,\nan edge between node 6 and node 3 with weight 1,\nan edge between node 3 and node 8 with weight 8,\nan edge between node 3 and node 11 with weight 5,\nan edge between node 3 and node 12 with weight 5,\nan edge between node 4 and node 3 with weight 1,\nan edge between node 3 and node 9 with weight 7,\nan edge between node 14 and node 4 with weight 10,\nan edge between node 9 and node 4 with weight 1,\nan edge between node 5 and node 8 with weight 10,\nan edge between node 5 and node 11 with weight 6,\nan edge between node 5 and node 15 with weight 2,\nan edge between node 12 and node 5 with weight 5,\nan edge between node 10 and node 5 with weight 4,\nan edge between node 8 and node 7 with weight 10,\nan edge between node 11 and node 7 with weight 7,\nan edge between node 14 and node 7 with weight 6,\nan edge between node 10 and node 8 with weight 2,\nan edge between node 15 and node 12 with weight 2,\nan edge between node 12 and node 14 with weight 2,\nan edge between node 13 and node 14 with weight 1,\nan edge between node 15 and node 14 with weight 8,\nan edge between node 14 and node 16 with weight 4,\nQ: Give the shortest path from node 6 to node 2:"
            },
            {
                "from": "gpt",
                "value": "6->3->11->1->2."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1033",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge between node 0 and node 12 with weight 9,\nan edge between node 7 and node 0 with weight 1,\nan edge between node 6 and node 0 with weight 7,\nan edge between node 1 and node 2 with weight 3,\nan edge between node 1 and node 3 with weight 4,\nan edge between node 9 and node 1 with weight 3,\nan edge between node 11 and node 1 with weight 2,\nan edge between node 15 and node 1 with weight 4,\nan edge between node 1 and node 18 with weight 6,\nan edge between node 8 and node 1 with weight 10,\nan edge between node 16 and node 1 with weight 2,\nan edge between node 1 and node 17 with weight 8,\nan edge between node 10 and node 2 with weight 8,\nan edge between node 17 and node 2 with weight 10,\nan edge between node 12 and node 3 with weight 3,\nan edge between node 3 and node 9 with weight 9,\nan edge between node 10 and node 3 with weight 4,\nan edge between node 3 and node 6 with weight 1,\nan edge between node 4 and node 11 with weight 5,\nan edge between node 4 and node 17 with weight 8,\nan edge between node 9 and node 5 with weight 10,\nan edge between node 15 and node 5 with weight 5,\nan edge between node 8 and node 5 with weight 3,\nan edge between node 17 and node 5 with weight 5,\nan edge between node 15 and node 6 with weight 3,\nan edge between node 6 and node 14 with weight 2,\nan edge between node 6 and node 8 with weight 7,\nan edge between node 18 and node 8 with weight 6,\nan edge between node 17 and node 8 with weight 4,\nan edge between node 9 and node 13 with weight 4,\nan edge between node 15 and node 9 with weight 8,\nan edge between node 9 and node 18 with weight 2,\nan edge between node 17 and node 9 with weight 1,\nan edge between node 10 and node 13 with weight 7,\nan edge between node 10 and node 16 with weight 5,\nan edge between node 11 and node 12 with weight 10,\nan edge between node 16 and node 14 with weight 2,\nan edge between node 15 and node 16 with weight 6,\nQ: Give the shortest path from node 13 to node 7:"
            },
            {
                "from": "gpt",
                "value": "13->10->3->6->0->7."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1032",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge between node 4 and node 0 with weight 7,\nan edge between node 0 and node 7 with weight 1,\nan edge between node 0 and node 16 with weight 4,\nan edge between node 13 and node 0 with weight 4,\nan edge between node 1 and node 4 with weight 7,\nan edge between node 1 and node 11 with weight 9,\nan edge between node 1 and node 3 with weight 5,\nan edge between node 2 and node 17 with weight 7,\nan edge between node 2 and node 16 with weight 2,\nan edge between node 2 and node 18 with weight 3,\nan edge between node 15 and node 2 with weight 5,\nan edge between node 3 and node 4 with weight 5,\nan edge between node 3 and node 11 with weight 6,\nan edge between node 3 and node 5 with weight 4,\nan edge between node 14 and node 3 with weight 3,\nan edge between node 3 and node 9 with weight 4,\nan edge between node 16 and node 3 with weight 5,\nan edge between node 3 and node 10 with weight 5,\nan edge between node 3 and node 13 with weight 4,\nan edge between node 3 and node 6 with weight 9,\nan edge between node 12 and node 4 with weight 3,\nan edge between node 7 and node 6 with weight 1,\nan edge between node 14 and node 7 with weight 7,\nan edge between node 7 and node 10 with weight 5,\nan edge between node 11 and node 8 with weight 8,\nan edge between node 14 and node 8 with weight 7,\nan edge between node 12 and node 8 with weight 7,\nan edge between node 11 and node 9 with weight 3,\nan edge between node 17 and node 10 with weight 4,\nan edge between node 11 and node 15 with weight 5,\nan edge between node 12 and node 14 with weight 9,\nan edge between node 12 and node 13 with weight 2,\nan edge between node 13 and node 17 with weight 2,\nan edge between node 14 and node 13 with weight 8,\nan edge between node 16 and node 14 with weight 1,\nan edge between node 15 and node 17 with weight 1,\nQ: Give the shortest path from node 17 to node 6:"
            },
            {
                "from": "gpt",
                "value": "17->13->0->7->6."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph334",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge between node 3 and node 0 with weight 5,\nan edge between node 0 and node 12 with weight 8,\nan edge between node 1 and node 7 with weight 1,\nan edge between node 1 and node 6 with weight 2,\nan edge between node 12 and node 1 with weight 8,\nan edge between node 1 and node 4 with weight 3,\nan edge between node 1 and node 8 with weight 4,\nan edge between node 7 and node 2 with weight 8,\nan edge between node 6 and node 2 with weight 4,\nan edge between node 2 and node 12 with weight 5,\nan edge between node 11 and node 3 with weight 10,\nan edge between node 5 and node 3 with weight 10,\nan edge between node 3 and node 10 with weight 7,\nan edge between node 4 and node 6 with weight 6,\nan edge between node 4 and node 5 with weight 4,\nan edge between node 4 and node 10 with weight 5,\nan edge between node 7 and node 5 with weight 10,\nan edge between node 10 and node 5 with weight 5,\nan edge between node 11 and node 6 with weight 2,\nan edge between node 9 and node 6 with weight 1,\nan edge between node 6 and node 8 with weight 4,\nan edge between node 11 and node 8 with weight 2,\nan edge between node 8 and node 9 with weight 3,\nQ: Give the shortest path from node 5 to node 1:"
            },
            {
                "from": "gpt",
                "value": "5->4->1."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph128",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge between node 0 and node 6 with weight 7,\nan edge between node 0 and node 8 with weight 1,\nan edge between node 1 and node 5 with weight 1,\nan edge between node 2 and node 4 with weight 6,\nan edge between node 9 and node 2 with weight 1,\nan edge between node 3 and node 6 with weight 10,\nan edge between node 3 and node 7 with weight 6,\nan edge between node 8 and node 3 with weight 6,\nan edge between node 4 and node 10 with weight 7,\nan edge between node 6 and node 4 with weight 9,\nan edge between node 4 and node 7 with weight 3,\nan edge between node 8 and node 4 with weight 6,\nan edge between node 9 and node 5 with weight 10,\nan edge between node 7 and node 11 with weight 4,\nan edge between node 9 and node 8 with weight 9,\nQ: Give the shortest path from node 6 to node 11:"
            },
            {
                "from": "gpt",
                "value": "6->4->7->11."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph219",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge between node 0 and node 9 with weight 10,\nan edge between node 6 and node 0 with weight 9,\nan edge between node 0 and node 8 with weight 4,\nan edge between node 11 and node 1 with weight 5,\nan edge between node 1 and node 3 with weight 10,\nan edge between node 2 and node 11 with weight 8,\nan edge between node 2 and node 9 with weight 4,\nan edge between node 8 and node 2 with weight 9,\nan edge between node 2 and node 3 with weight 6,\nan edge between node 5 and node 3 with weight 6,\nan edge between node 4 and node 3 with weight 2,\nan edge between node 3 and node 10 with weight 8,\nan edge between node 7 and node 4 with weight 7,\nan edge between node 5 and node 10 with weight 9,\nan edge between node 7 and node 6 with weight 2,\nan edge between node 8 and node 6 with weight 10,\nan edge between node 10 and node 11 with weight 10,\nQ: Give the shortest path from node 4 to node 1:"
            },
            {
                "from": "gpt",
                "value": "4->3->1."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph108",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 0 and node 6 with weight 2,\nan edge between node 3 and node 0 with weight 8,\nan edge between node 0 and node 4 with weight 2,\nan edge between node 9 and node 1 with weight 6,\nan edge between node 1 and node 4 with weight 2,\nan edge between node 5 and node 1 with weight 6,\nan edge between node 2 and node 6 with weight 5,\nan edge between node 9 and node 2 with weight 9,\nan edge between node 2 and node 3 with weight 6,\nan edge between node 7 and node 2 with weight 2,\nan edge between node 4 and node 2 with weight 4,\nan edge between node 2 and node 10 with weight 10,\nan edge between node 3 and node 6 with weight 5,\nan edge between node 3 and node 9 with weight 2,\nan edge between node 3 and node 10 with weight 2,\nan edge between node 4 and node 7 with weight 7,\nan edge between node 8 and node 9 with weight 10,\nan edge between node 8 and node 10 with weight 3,\nQ: Give the shortest path from node 6 to node 4:"
            },
            {
                "from": "gpt",
                "value": "6->0->4."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph621",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge between node 4 and node 0 with weight 7,\nan edge between node 0 and node 15 with weight 9,\nan edge between node 0 and node 7 with weight 9,\nan edge between node 1 and node 12 with weight 6,\nan edge between node 1 and node 14 with weight 6,\nan edge between node 2 and node 1 with weight 6,\nan edge between node 3 and node 2 with weight 10,\nan edge between node 3 and node 11 with weight 7,\nan edge between node 6 and node 3 with weight 4,\nan edge between node 3 and node 15 with weight 9,\nan edge between node 4 and node 13 with weight 5,\nan edge between node 11 and node 5 with weight 2,\nan edge between node 5 and node 13 with weight 2,\nan edge between node 7 and node 10 with weight 1,\nan edge between node 8 and node 15 with weight 9,\nan edge between node 9 and node 11 with weight 1,\nan edge between node 9 and node 15 with weight 6,\nan edge between node 9 and node 12 with weight 6,\nan edge between node 9 and node 13 with weight 7,\nan edge between node 10 and node 13 with weight 10,\nan edge between node 15 and node 12 with weight 4,\nan edge between node 15 and node 14 with weight 1,\nQ: Give the shortest path from node 2 to node 10:"
            },
            {
                "from": "gpt",
                "value": "2->3->11->5->13->10."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph550",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge between node 3 and node 0 with weight 2,\nan edge between node 0 and node 5 with weight 3,\nan edge between node 11 and node 0 with weight 6,\nan edge between node 1 and node 3 with weight 5,\nan edge between node 1 and node 2 with weight 3,\nan edge between node 1 and node 10 with weight 8,\nan edge between node 1 and node 13 with weight 4,\nan edge between node 2 and node 3 with weight 7,\nan edge between node 10 and node 2 with weight 9,\nan edge between node 2 and node 7 with weight 5,\nan edge between node 3 and node 5 with weight 5,\nan edge between node 3 and node 14 with weight 8,\nan edge between node 8 and node 3 with weight 1,\nan edge between node 4 and node 3 with weight 5,\nan edge between node 4 and node 5 with weight 9,\nan edge between node 11 and node 5 with weight 5,\nan edge between node 13 and node 5 with weight 10,\nan edge between node 14 and node 6 with weight 7,\nan edge between node 11 and node 6 with weight 7,\nan edge between node 6 and node 9 with weight 3,\nan edge between node 6 and node 13 with weight 5,\nan edge between node 14 and node 7 with weight 10,\nan edge between node 9 and node 13 with weight 4,\nan edge between node 10 and node 14 with weight 4,\nan edge between node 11 and node 10 with weight 3,\nan edge between node 12 and node 11 with weight 2,\nQ: Give the shortest path from node 7 to node 12:"
            },
            {
                "from": "gpt",
                "value": "7->2->10->11->12."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph745",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 0 and node 8 with weight 1,\nan edge between node 0 and node 6 with weight 8,\nan edge between node 2 and node 0 with weight 7,\nan edge between node 0 and node 13 with weight 7,\nan edge between node 1 and node 8 with weight 4,\nan edge between node 4 and node 1 with weight 1,\nan edge between node 1 and node 12 with weight 2,\nan edge between node 11 and node 1 with weight 7,\nan edge between node 7 and node 2 with weight 10,\nan edge between node 15 and node 3 with weight 7,\nan edge between node 14 and node 4 with weight 5,\nan edge between node 4 and node 8 with weight 6,\nan edge between node 15 and node 5 with weight 1,\nan edge between node 6 and node 10 with weight 10,\nan edge between node 12 and node 6 with weight 2,\nan edge between node 7 and node 12 with weight 6,\nan edge between node 13 and node 7 with weight 10,\nan edge between node 8 and node 16 with weight 3,\nan edge between node 8 and node 11 with weight 1,\nan edge between node 14 and node 9 with weight 10,\nan edge between node 10 and node 9 with weight 10,\nan edge between node 10 and node 15 with weight 2,\nQ: Give the shortest path from node 7 to node 10:"
            },
            {
                "from": "gpt",
                "value": "7->12->6->10."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph75",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 0 and node 7 with weight 8,\nan edge between node 9 and node 0 with weight 4,\nan edge between node 4 and node 1 with weight 10,\nan edge between node 1 and node 5 with weight 5,\nan edge between node 3 and node 1 with weight 5,\nan edge between node 2 and node 5 with weight 3,\nan edge between node 3 and node 7 with weight 2,\nan edge between node 3 and node 4 with weight 6,\nan edge between node 4 and node 7 with weight 4,\nan edge between node 4 and node 5 with weight 8,\nan edge between node 5 and node 8 with weight 7,\nan edge between node 5 and node 10 with weight 2,\nan edge between node 7 and node 6 with weight 4,\nan edge between node 6 and node 10 with weight 8,\nQ: Give the shortest path from node 1 to node 0:"
            },
            {
                "from": "gpt",
                "value": "1->3->7->0."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph751",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 0 and node 5 with weight 3,\nan edge between node 16 and node 0 with weight 2,\nan edge between node 7 and node 1 with weight 6,\nan edge between node 12 and node 1 with weight 9,\nan edge between node 8 and node 1 with weight 10,\nan edge between node 14 and node 2 with weight 7,\nan edge between node 10 and node 3 with weight 9,\nan edge between node 3 and node 14 with weight 6,\nan edge between node 6 and node 3 with weight 4,\nan edge between node 11 and node 3 with weight 3,\nan edge between node 3 and node 9 with weight 4,\nan edge between node 10 and node 4 with weight 1,\nan edge between node 4 and node 14 with weight 5,\nan edge between node 5 and node 4 with weight 10,\nan edge between node 5 and node 14 with weight 2,\nan edge between node 5 and node 16 with weight 6,\nan edge between node 5 and node 6 with weight 6,\nan edge between node 11 and node 5 with weight 7,\nan edge between node 6 and node 16 with weight 4,\nan edge between node 13 and node 7 with weight 2,\nan edge between node 7 and node 16 with weight 4,\nan edge between node 10 and node 13 with weight 8,\nan edge between node 15 and node 10 with weight 2,\nan edge between node 14 and node 11 with weight 6,\nan edge between node 16 and node 12 with weight 5,\nan edge between node 14 and node 16 with weight 7,\nQ: Give the shortest path from node 8 to node 9:"
            },
            {
                "from": "gpt",
                "value": "8->1->7->16->6->3->9."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph925",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge between node 0 and node 17 with weight 10,\nan edge between node 0 and node 15 with weight 3,\nan edge between node 0 and node 11 with weight 9,\nan edge between node 1 and node 6 with weight 4,\nan edge between node 1 and node 10 with weight 10,\nan edge between node 1 and node 7 with weight 8,\nan edge between node 5 and node 2 with weight 7,\nan edge between node 3 and node 6 with weight 6,\nan edge between node 3 and node 9 with weight 1,\nan edge between node 15 and node 3 with weight 6,\nan edge between node 7 and node 3 with weight 9,\nan edge between node 4 and node 13 with weight 2,\nan edge between node 15 and node 4 with weight 6,\nan edge between node 4 and node 12 with weight 4,\nan edge between node 10 and node 4 with weight 2,\nan edge between node 4 and node 7 with weight 7,\nan edge between node 5 and node 17 with weight 10,\nan edge between node 17 and node 6 with weight 5,\nan edge between node 6 and node 15 with weight 3,\nan edge between node 7 and node 6 with weight 8,\nan edge between node 7 and node 13 with weight 8,\nan edge between node 7 and node 14 with weight 10,\nan edge between node 16 and node 8 with weight 7,\nan edge between node 9 and node 8 with weight 5,\nan edge between node 8 and node 14 with weight 3,\nan edge between node 14 and node 9 with weight 9,\nan edge between node 11 and node 9 with weight 6,\nan edge between node 13 and node 10 with weight 7,\nan edge between node 10 and node 15 with weight 8,\nan edge between node 10 and node 12 with weight 2,\nan edge between node 17 and node 11 with weight 9,\nan edge between node 13 and node 16 with weight 6,\nan edge between node 16 and node 14 with weight 10,\nan edge between node 16 and node 15 with weight 1,\nQ: Give the shortest path from node 4 to node 14:"
            },
            {
                "from": "gpt",
                "value": "4->7->14."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph875",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge between node 16 and node 0 with weight 5,\nan edge between node 0 and node 15 with weight 9,\nan edge between node 5 and node 1 with weight 10,\nan edge between node 15 and node 1 with weight 10,\nan edge between node 1 and node 12 with weight 1,\nan edge between node 2 and node 14 with weight 5,\nan edge between node 13 and node 2 with weight 7,\nan edge between node 8 and node 2 with weight 3,\nan edge between node 17 and node 2 with weight 10,\nan edge between node 7 and node 2 with weight 3,\nan edge between node 9 and node 3 with weight 6,\nan edge between node 3 and node 11 with weight 6,\nan edge between node 3 and node 16 with weight 5,\nan edge between node 3 and node 13 with weight 8,\nan edge between node 4 and node 6 with weight 8,\nan edge between node 4 and node 15 with weight 7,\nan edge between node 16 and node 5 with weight 7,\nan edge between node 6 and node 9 with weight 6,\nan edge between node 14 and node 6 with weight 5,\nan edge between node 6 and node 13 with weight 9,\nan edge between node 6 and node 15 with weight 5,\nan edge between node 7 and node 12 with weight 10,\nan edge between node 8 and node 17 with weight 10,\nan edge between node 17 and node 9 with weight 7,\nan edge between node 9 and node 15 with weight 6,\nan edge between node 13 and node 10 with weight 5,\nan edge between node 10 and node 15 with weight 4,\nan edge between node 13 and node 11 with weight 6,\nan edge between node 11 and node 15 with weight 2,\nan edge between node 12 and node 13 with weight 7,\nan edge between node 15 and node 13 with weight 2,\nan edge between node 16 and node 15 with weight 8,\nQ: Give the shortest path from node 5 to node 8:"
            },
            {
                "from": "gpt",
                "value": "5->16->15->13->2->8."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph506",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge between node 4 and node 0 with weight 7,\nan edge between node 1 and node 0 with weight 5,\nan edge between node 8 and node 1 with weight 10,\nan edge between node 2 and node 1 with weight 8,\nan edge between node 14 and node 1 with weight 9,\nan edge between node 2 and node 3 with weight 10,\nan edge between node 10 and node 2 with weight 7,\nan edge between node 11 and node 2 with weight 1,\nan edge between node 4 and node 2 with weight 9,\nan edge between node 2 and node 8 with weight 8,\nan edge between node 12 and node 2 with weight 10,\nan edge between node 13 and node 3 with weight 3,\nan edge between node 3 and node 8 with weight 4,\nan edge between node 14 and node 3 with weight 9,\nan edge between node 4 and node 8 with weight 4,\nan edge between node 12 and node 4 with weight 4,\nan edge between node 7 and node 5 with weight 8,\nan edge between node 6 and node 10 with weight 4,\nan edge between node 11 and node 6 with weight 8,\nan edge between node 6 and node 9 with weight 10,\nan edge between node 14 and node 6 with weight 5,\nan edge between node 7 and node 10 with weight 6,\nan edge between node 9 and node 8 with weight 4,\nan edge between node 8 and node 13 with weight 1,\nan edge between node 14 and node 9 with weight 8,\nan edge between node 11 and node 10 with weight 6,\nan edge between node 14 and node 10 with weight 5,\nan edge between node 12 and node 10 with weight 7,\nan edge between node 14 and node 11 with weight 5,\nan edge between node 13 and node 12 with weight 1,\nQ: Give the shortest path from node 0 to node 11:"
            },
            {
                "from": "gpt",
                "value": "0->1->2->11."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph22",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 0 and node 6 with weight 5,\nan edge between node 0 and node 2 with weight 3,\nan edge between node 1 and node 7 with weight 1,\nan edge between node 1 and node 2 with weight 5,\nan edge between node 2 and node 9 with weight 1,\nan edge between node 7 and node 2 with weight 3,\nan edge between node 2 and node 6 with weight 2,\nan edge between node 3 and node 10 with weight 6,\nan edge between node 10 and node 4 with weight 3,\nan edge between node 8 and node 4 with weight 7,\nan edge between node 5 and node 10 with weight 9,\nan edge between node 5 and node 8 with weight 10,\nan edge between node 7 and node 9 with weight 8,\nan edge between node 8 and node 7 with weight 9,\nan edge between node 8 and node 9 with weight 3,\nQ: Give the shortest path from node 0 to node 3:"
            },
            {
                "from": "gpt",
                "value": "0->2->9->8->4->10->3."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph6",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 0 and node 5 with weight 10,\nan edge between node 8 and node 0 with weight 3,\nan edge between node 1 and node 7 with weight 9,\nan edge between node 3 and node 1 with weight 10,\nan edge between node 1 and node 2 with weight 4,\nan edge between node 4 and node 6 with weight 5,\nan edge between node 8 and node 4 with weight 5,\nan edge between node 7 and node 10 with weight 10,\nan edge between node 8 and node 9 with weight 9,\nan edge between node 9 and node 10 with weight 3,\nQ: Give the shortest path from node 0 to node 2:"
            },
            {
                "from": "gpt",
                "value": "0->8->9->10->7->1->2."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph261",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge between node 11 and node 0 with weight 6,\nan edge between node 12 and node 1 with weight 2,\nan edge between node 2 and node 8 with weight 6,\nan edge between node 2 and node 3 with weight 7,\nan edge between node 3 and node 5 with weight 7,\nan edge between node 6 and node 4 with weight 3,\nan edge between node 4 and node 12 with weight 2,\nan edge between node 4 and node 7 with weight 4,\nan edge between node 10 and node 4 with weight 3,\nan edge between node 5 and node 6 with weight 7,\nan edge between node 7 and node 5 with weight 1,\nan edge between node 8 and node 7 with weight 10,\nan edge between node 7 and node 10 with weight 8,\nan edge between node 12 and node 9 with weight 7,\nan edge between node 12 and node 11 with weight 3,\nQ: Give the shortest path from node 5 to node 11:"
            },
            {
                "from": "gpt",
                "value": "5->7->4->12->11."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph913",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge between node 0 and node 12 with weight 2,\nan edge between node 0 and node 8 with weight 6,\nan edge between node 0 and node 7 with weight 8,\nan edge between node 2 and node 0 with weight 10,\nan edge between node 0 and node 6 with weight 4,\nan edge between node 1 and node 2 with weight 10,\nan edge between node 1 and node 14 with weight 6,\nan edge between node 6 and node 1 with weight 2,\nan edge between node 3 and node 1 with weight 6,\nan edge between node 2 and node 12 with weight 9,\nan edge between node 2 and node 7 with weight 10,\nan edge between node 5 and node 3 with weight 10,\nan edge between node 3 and node 10 with weight 6,\nan edge between node 7 and node 3 with weight 10,\nan edge between node 3 and node 11 with weight 1,\nan edge between node 14 and node 3 with weight 4,\nan edge between node 6 and node 3 with weight 1,\nan edge between node 4 and node 15 with weight 4,\nan edge between node 4 and node 10 with weight 1,\nan edge between node 4 and node 17 with weight 7,\nan edge between node 14 and node 4 with weight 3,\nan edge between node 5 and node 7 with weight 3,\nan edge between node 17 and node 5 with weight 4,\nan edge between node 8 and node 6 with weight 7,\nan edge between node 6 and node 7 with weight 4,\nan edge between node 17 and node 6 with weight 10,\nan edge between node 15 and node 7 with weight 7,\nan edge between node 13 and node 7 with weight 8,\nan edge between node 14 and node 7 with weight 2,\nan edge between node 8 and node 12 with weight 4,\nan edge between node 9 and node 8 with weight 4,\nan edge between node 8 and node 11 with weight 10,\nan edge between node 17 and node 8 with weight 2,\nan edge between node 14 and node 8 with weight 10,\nan edge between node 10 and node 9 with weight 6,\nan edge between node 11 and node 10 with weight 10,\nan edge between node 11 and node 17 with weight 9,\nan edge between node 15 and node 12 with weight 9,\nan edge between node 13 and node 16 with weight 4,\nQ: Give the shortest path from node 16 to node 9:"
            },
            {
                "from": "gpt",
                "value": "16->13->7->14->4->10->9."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1079",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge between node 0 and node 13 with weight 2,\nan edge between node 0 and node 6 with weight 8,\nan edge between node 5 and node 1 with weight 7,\nan edge between node 1 and node 2 with weight 1,\nan edge between node 11 and node 1 with weight 9,\nan edge between node 1 and node 14 with weight 1,\nan edge between node 1 and node 6 with weight 2,\nan edge between node 2 and node 5 with weight 10,\nan edge between node 3 and node 2 with weight 9,\nan edge between node 11 and node 2 with weight 8,\nan edge between node 8 and node 2 with weight 8,\nan edge between node 2 and node 14 with weight 5,\nan edge between node 6 and node 2 with weight 3,\nan edge between node 7 and node 3 with weight 1,\nan edge between node 9 and node 3 with weight 1,\nan edge between node 3 and node 4 with weight 10,\nan edge between node 6 and node 3 with weight 2,\nan edge between node 18 and node 4 with weight 6,\nan edge between node 11 and node 4 with weight 7,\nan edge between node 6 and node 4 with weight 3,\nan edge between node 12 and node 5 with weight 2,\nan edge between node 16 and node 5 with weight 6,\nan edge between node 5 and node 11 with weight 6,\nan edge between node 9 and node 5 with weight 1,\nan edge between node 5 and node 13 with weight 7,\nan edge between node 12 and node 6 with weight 4,\nan edge between node 7 and node 6 with weight 4,\nan edge between node 6 and node 16 with weight 8,\nan edge between node 6 and node 9 with weight 3,\nan edge between node 12 and node 7 with weight 3,\nan edge between node 16 and node 7 with weight 6,\nan edge between node 7 and node 9 with weight 5,\nan edge between node 14 and node 7 with weight 9,\nan edge between node 8 and node 9 with weight 6,\nan edge between node 17 and node 8 with weight 6,\nan edge between node 8 and node 14 with weight 8,\nan edge between node 9 and node 12 with weight 2,\nan edge between node 9 and node 11 with weight 9,\nan edge between node 9 and node 13 with weight 6,\nan edge between node 16 and node 10 with weight 1,\nan edge between node 11 and node 10 with weight 6,\nan edge between node 16 and node 12 with weight 10,\nan edge between node 12 and node 13 with weight 6,\nan edge between node 13 and node 17 with weight 1,\nan edge between node 17 and node 15 with weight 1,\nan edge between node 16 and node 17 with weight 2,\nan edge between node 17 and node 18 with weight 9,\nQ: Give the shortest path from node 13 to node 15:"
            },
            {
                "from": "gpt",
                "value": "13->17->15."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph544",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge between node 0 and node 3 with weight 6,\nan edge between node 2 and node 0 with weight 4,\nan edge between node 0 and node 13 with weight 7,\nan edge between node 0 and node 1 with weight 8,\nan edge between node 9 and node 1 with weight 7,\nan edge between node 11 and node 1 with weight 3,\nan edge between node 4 and node 2 with weight 9,\nan edge between node 10 and node 3 with weight 10,\nan edge between node 3 and node 13 with weight 2,\nan edge between node 4 and node 13 with weight 8,\nan edge between node 7 and node 4 with weight 10,\nan edge between node 11 and node 5 with weight 1,\nan edge between node 5 and node 14 with weight 8,\nan edge between node 6 and node 8 with weight 9,\nan edge between node 6 and node 14 with weight 10,\nan edge between node 7 and node 11 with weight 4,\nan edge between node 9 and node 8 with weight 2,\nan edge between node 8 and node 13 with weight 6,\nan edge between node 9 and node 14 with weight 6,\nan edge between node 14 and node 12 with weight 10,\nQ: Give the shortest path from node 8 to node 12:"
            },
            {
                "from": "gpt",
                "value": "8->9->14->12."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph336",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge between node 0 and node 11 with weight 9,\nan edge between node 0 and node 12 with weight 8,\nan edge between node 10 and node 0 with weight 7,\nan edge between node 0 and node 7 with weight 8,\nan edge between node 12 and node 1 with weight 10,\nan edge between node 2 and node 5 with weight 5,\nan edge between node 2 and node 8 with weight 2,\nan edge between node 2 and node 9 with weight 1,\nan edge between node 2 and node 4 with weight 5,\nan edge between node 3 and node 2 with weight 1,\nan edge between node 2 and node 6 with weight 4,\nan edge between node 10 and node 3 with weight 5,\nan edge between node 7 and node 3 with weight 2,\nan edge between node 4 and node 11 with weight 2,\nan edge between node 4 and node 9 with weight 1,\nan edge between node 6 and node 4 with weight 4,\nan edge between node 12 and node 6 with weight 1,\nan edge between node 6 and node 10 with weight 2,\nan edge between node 7 and node 11 with weight 5,\nan edge between node 7 and node 12 with weight 1,\nan edge between node 7 and node 10 with weight 6,\nan edge between node 12 and node 8 with weight 5,\nan edge between node 10 and node 8 with weight 8,\nan edge between node 11 and node 9 with weight 7,\nan edge between node 9 and node 10 with weight 2,\nan edge between node 11 and node 12 with weight 5,\nQ: Give the shortest path from node 6 to node 9:"
            },
            {
                "from": "gpt",
                "value": "6->10->9."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph296",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge between node 0 and node 7 with weight 5,\nan edge between node 0 and node 8 with weight 6,\nan edge between node 3 and node 0 with weight 2,\nan edge between node 9 and node 1 with weight 10,\nan edge between node 8 and node 1 with weight 3,\nan edge between node 1 and node 5 with weight 10,\nan edge between node 2 and node 4 with weight 2,\nan edge between node 2 and node 6 with weight 10,\nan edge between node 2 and node 5 with weight 1,\nan edge between node 3 and node 11 with weight 6,\nan edge between node 3 and node 7 with weight 3,\nan edge between node 5 and node 3 with weight 6,\nan edge between node 4 and node 11 with weight 3,\nan edge between node 5 and node 4 with weight 10,\nan edge between node 5 and node 10 with weight 4,\nan edge between node 6 and node 7 with weight 3,\nan edge between node 6 and node 8 with weight 8,\nan edge between node 7 and node 10 with weight 8,\nan edge between node 9 and node 8 with weight 1,\nan edge between node 11 and node 12 with weight 7,\nQ: Give the shortest path from node 9 to node 12:"
            },
            {
                "from": "gpt",
                "value": "9->8->0->3->11->12."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph385",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge between node 0 and node 8 with weight 8,\nan edge between node 0 and node 13 with weight 2,\nan edge between node 0 and node 3 with weight 4,\nan edge between node 8 and node 1 with weight 8,\nan edge between node 1 and node 12 with weight 7,\nan edge between node 2 and node 1 with weight 6,\nan edge between node 2 and node 8 with weight 6,\nan edge between node 2 and node 5 with weight 2,\nan edge between node 8 and node 3 with weight 3,\nan edge between node 3 and node 10 with weight 1,\nan edge between node 12 and node 3 with weight 7,\nan edge between node 4 and node 3 with weight 8,\nan edge between node 13 and node 4 with weight 4,\nan edge between node 5 and node 7 with weight 3,\nan edge between node 12 and node 5 with weight 9,\nan edge between node 6 and node 11 with weight 1,\nan edge between node 7 and node 13 with weight 8,\nan edge between node 12 and node 7 with weight 7,\nan edge between node 11 and node 7 with weight 9,\nan edge between node 8 and node 9 with weight 7,\nan edge between node 10 and node 8 with weight 3,\nan edge between node 8 and node 12 with weight 10,\nan edge between node 9 and node 10 with weight 9,\nan edge between node 13 and node 10 with weight 8,\nan edge between node 10 and node 11 with weight 10,\nan edge between node 12 and node 13 with weight 4,\nQ: Give the shortest path from node 5 to node 3:"
            },
            {
                "from": "gpt",
                "value": "5->2->8->3."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph62",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 2 and node 0 with weight 6,\nan edge between node 9 and node 0 with weight 2,\nan edge between node 1 and node 4 with weight 8,\nan edge between node 2 and node 1 with weight 10,\nan edge between node 1 and node 7 with weight 3,\nan edge between node 3 and node 8 with weight 3,\nan edge between node 5 and node 9 with weight 4,\nan edge between node 8 and node 5 with weight 5,\nan edge between node 6 and node 9 with weight 3,\nan edge between node 6 and node 7 with weight 2,\nan edge between node 7 and node 10 with weight 4,\nQ: Give the shortest path from node 9 to node 10:"
            },
            {
                "from": "gpt",
                "value": "9->6->7->10."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph543",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge between node 2 and node 0 with weight 1,\nan edge between node 13 and node 0 with weight 2,\nan edge between node 0 and node 9 with weight 2,\nan edge between node 5 and node 0 with weight 10,\nan edge between node 6 and node 0 with weight 7,\nan edge between node 8 and node 0 with weight 2,\nan edge between node 1 and node 2 with weight 10,\nan edge between node 9 and node 1 with weight 2,\nan edge between node 11 and node 1 with weight 2,\nan edge between node 10 and node 2 with weight 1,\nan edge between node 3 and node 9 with weight 4,\nan edge between node 12 and node 3 with weight 4,\nan edge between node 14 and node 4 with weight 10,\nan edge between node 5 and node 4 with weight 9,\nan edge between node 4 and node 8 with weight 9,\nan edge between node 5 and node 14 with weight 3,\nan edge between node 6 and node 10 with weight 1,\nan edge between node 6 and node 7 with weight 2,\nan edge between node 8 and node 7 with weight 10,\nan edge between node 8 and node 10 with weight 4,\nan edge between node 9 and node 8 with weight 6,\nan edge between node 8 and node 11 with weight 9,\nan edge between node 8 and node 12 with weight 7,\nan edge between node 9 and node 12 with weight 7,\nan edge between node 14 and node 10 with weight 4,\nan edge between node 13 and node 11 with weight 10,\nan edge between node 14 and node 13 with weight 2,\nQ: Give the shortest path from node 11 to node 2:"
            },
            {
                "from": "gpt",
                "value": "11->1->9->0->2."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph358",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge between node 0 and node 5 with weight 9,\nan edge between node 11 and node 0 with weight 9,\nan edge between node 5 and node 1 with weight 6,\nan edge between node 8 and node 1 with weight 9,\nan edge between node 1 and node 11 with weight 8,\nan edge between node 12 and node 1 with weight 2,\nan edge between node 1 and node 4 with weight 7,\nan edge between node 1 and node 10 with weight 3,\nan edge between node 9 and node 2 with weight 7,\nan edge between node 10 and node 2 with weight 10,\nan edge between node 8 and node 3 with weight 4,\nan edge between node 12 and node 3 with weight 8,\nan edge between node 3 and node 4 with weight 6,\nan edge between node 10 and node 3 with weight 9,\nan edge between node 8 and node 4 with weight 10,\nan edge between node 4 and node 10 with weight 8,\nan edge between node 5 and node 12 with weight 6,\nan edge between node 5 and node 9 with weight 1,\nan edge between node 5 and node 6 with weight 8,\nan edge between node 10 and node 5 with weight 7,\nan edge between node 7 and node 6 with weight 8,\nan edge between node 6 and node 10 with weight 4,\nan edge between node 11 and node 9 with weight 1,\nan edge between node 12 and node 9 with weight 10,\nan edge between node 12 and node 10 with weight 2,\nan edge between node 12 and node 11 with weight 8,\nQ: Give the shortest path from node 11 to node 7:"
            },
            {
                "from": "gpt",
                "value": "11->9->5->6->7."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph210",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge between node 0 and node 1 with weight 6,\nan edge between node 0 and node 2 with weight 4,\nan edge between node 1 and node 2 with weight 6,\nan edge between node 11 and node 1 with weight 10,\nan edge between node 2 and node 5 with weight 8,\nan edge between node 2 and node 8 with weight 5,\nan edge between node 3 and node 2 with weight 8,\nan edge between node 4 and node 2 with weight 5,\nan edge between node 2 and node 10 with weight 2,\nan edge between node 5 and node 3 with weight 3,\nan edge between node 4 and node 8 with weight 7,\nan edge between node 4 and node 6 with weight 10,\nan edge between node 9 and node 5 with weight 2,\nan edge between node 5 and node 6 with weight 9,\nan edge between node 6 and node 7 with weight 2,\nan edge between node 9 and node 7 with weight 4,\nan edge between node 7 and node 10 with weight 2,\nan edge between node 9 and node 8 with weight 3,\nQ: Give the shortest path from node 3 to node 7:"
            },
            {
                "from": "gpt",
                "value": "3->5->9->7."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph95",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 9 and node 0 with weight 3,\nan edge between node 5 and node 0 with weight 3,\nan edge between node 8 and node 0 with weight 9,\nan edge between node 4 and node 0 with weight 3,\nan edge between node 0 and node 1 with weight 2,\nan edge between node 1 and node 10 with weight 7,\nan edge between node 7 and node 2 with weight 4,\nan edge between node 5 and node 2 with weight 4,\nan edge between node 2 and node 8 with weight 5,\nan edge between node 10 and node 3 with weight 4,\nan edge between node 9 and node 4 with weight 8,\nan edge between node 9 and node 5 with weight 7,\nan edge between node 5 and node 8 with weight 3,\nan edge between node 9 and node 6 with weight 1,\nan edge between node 8 and node 6 with weight 2,\nan edge between node 8 and node 9 with weight 4,\nQ: Give the shortest path from node 3 to node 7:"
            },
            {
                "from": "gpt",
                "value": "3->10->1->0->5->2->7."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph949",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge between node 10 and node 0 with weight 7,\nan edge between node 12 and node 0 with weight 9,\nan edge between node 0 and node 13 with weight 4,\nan edge between node 0 and node 15 with weight 10,\nan edge between node 1 and node 14 with weight 3,\nan edge between node 2 and node 3 with weight 3,\nan edge between node 3 and node 14 with weight 2,\nan edge between node 3 and node 4 with weight 3,\nan edge between node 3 and node 17 with weight 4,\nan edge between node 3 and node 6 with weight 9,\nan edge between node 9 and node 3 with weight 6,\nan edge between node 4 and node 15 with weight 9,\nan edge between node 5 and node 13 with weight 6,\nan edge between node 5 and node 15 with weight 6,\nan edge between node 6 and node 14 with weight 9,\nan edge between node 16 and node 6 with weight 5,\nan edge between node 6 and node 9 with weight 5,\nan edge between node 7 and node 11 with weight 2,\nan edge between node 7 and node 8 with weight 7,\nan edge between node 8 and node 16 with weight 10,\nan edge between node 10 and node 8 with weight 8,\nan edge between node 9 and node 10 with weight 9,\nan edge between node 10 and node 14 with weight 3,\nan edge between node 12 and node 11 with weight 5,\nan edge between node 12 and node 13 with weight 1,\nan edge between node 13 and node 16 with weight 9,\nan edge between node 15 and node 14 with weight 4,\nQ: Give the shortest path from node 11 to node 17:"
            },
            {
                "from": "gpt",
                "value": "11->7->8->10->14->3->17."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph19",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge between node 0 and node 2 with weight 6,\nan edge between node 0 and node 3 with weight 2,\nan edge between node 0 and node 7 with weight 4,\nan edge between node 7 and node 1 with weight 10,\nan edge between node 10 and node 1 with weight 5,\nan edge between node 2 and node 9 with weight 2,\nan edge between node 4 and node 10 with weight 5,\nan edge between node 5 and node 4 with weight 6,\nan edge between node 8 and node 6 with weight 9,\nan edge between node 7 and node 6 with weight 1,\nan edge between node 9 and node 10 with weight 7,\nQ: Give the shortest path from node 5 to node 8:"
            },
            {
                "from": "gpt",
                "value": "5->4->10->1->7->6->8."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph405",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge between node 0 and node 8 with weight 5,\nan edge between node 0 and node 12 with weight 5,\nan edge between node 0 and node 4 with weight 8,\nan edge between node 0 and node 9 with weight 3,\nan edge between node 0 and node 5 with weight 3,\nan edge between node 12 and node 1 with weight 6,\nan edge between node 2 and node 3 with weight 8,\nan edge between node 3 and node 6 with weight 3,\nan edge between node 4 and node 12 with weight 6,\nan edge between node 10 and node 4 with weight 8,\nan edge between node 9 and node 5 with weight 5,\nan edge between node 5 and node 11 with weight 10,\nan edge between node 6 and node 10 with weight 3,\nan edge between node 6 and node 7 with weight 8,\nan edge between node 7 and node 8 with weight 2,\nan edge between node 7 and node 9 with weight 5,\nan edge between node 7 and node 11 with weight 6,\nan edge between node 9 and node 13 with weight 2,\nan edge between node 10 and node 13 with weight 9,\nan edge between node 12 and node 11 with weight 2,\nQ: Give the shortest path from node 5 to node 2:"
            },
            {
                "from": "gpt",
                "value": "5->9->7->6->3->2."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph927",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge between node 17 and node 0 with weight 5,\nan edge between node 12 and node 0 with weight 7,\nan edge between node 0 and node 14 with weight 6,\nan edge between node 1 and node 5 with weight 9,\nan edge between node 11 and node 1 with weight 2,\nan edge between node 13 and node 2 with weight 4,\nan edge between node 2 and node 5 with weight 2,\nan edge between node 9 and node 2 with weight 8,\nan edge between node 8 and node 2 with weight 3,\nan edge between node 2 and node 14 with weight 10,\nan edge between node 5 and node 3 with weight 5,\nan edge between node 17 and node 3 with weight 1,\nan edge between node 4 and node 17 with weight 7,\nan edge between node 16 and node 4 with weight 6,\nan edge between node 12 and node 4 with weight 2,\nan edge between node 5 and node 11 with weight 7,\nan edge between node 5 and node 9 with weight 6,\nan edge between node 5 and node 14 with weight 3,\nan edge between node 7 and node 6 with weight 1,\nan edge between node 6 and node 10 with weight 6,\nan edge between node 6 and node 16 with weight 3,\nan edge between node 6 and node 11 with weight 5,\nan edge between node 7 and node 15 with weight 1,\nan edge between node 7 and node 17 with weight 10,\nan edge between node 10 and node 7 with weight 3,\nan edge between node 16 and node 7 with weight 3,\nan edge between node 7 and node 12 with weight 2,\nan edge between node 15 and node 8 with weight 8,\nan edge between node 10 and node 8 with weight 3,\nan edge between node 8 and node 12 with weight 4,\nan edge between node 9 and node 13 with weight 8,\nan edge between node 9 and node 10 with weight 7,\nan edge between node 15 and node 10 with weight 6,\nan edge between node 11 and node 13 with weight 6,\nan edge between node 12 and node 11 with weight 3,\nan edge between node 12 and node 15 with weight 6,\nan edge between node 15 and node 13 with weight 5,\nan edge between node 13 and node 16 with weight 1,\nan edge between node 14 and node 13 with weight 1,\nQ: Give the shortest path from node 10 to node 14:"
            },
            {
                "from": "gpt",
                "value": "10->7->16->13->14."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph972",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge between node 0 and node 18 with weight 5,\nan edge between node 0 and node 11 with weight 1,\nan edge between node 4 and node 1 with weight 3,\nan edge between node 9 and node 1 with weight 10,\nan edge between node 15 and node 2 with weight 10,\nan edge between node 2 and node 9 with weight 3,\nan edge between node 3 and node 4 with weight 2,\nan edge between node 3 and node 14 with weight 9,\nan edge between node 4 and node 10 with weight 4,\nan edge between node 5 and node 4 with weight 2,\nan edge between node 8 and node 4 with weight 5,\nan edge between node 5 and node 6 with weight 2,\nan edge between node 7 and node 5 with weight 8,\nan edge between node 13 and node 5 with weight 10,\nan edge between node 10 and node 6 with weight 10,\nan edge between node 15 and node 6 with weight 6,\nan edge between node 13 and node 6 with weight 7,\nan edge between node 8 and node 15 with weight 7,\nan edge between node 8 and node 9 with weight 9,\nan edge between node 10 and node 12 with weight 3,\nan edge between node 11 and node 12 with weight 8,\nan edge between node 11 and node 18 with weight 7,\nan edge between node 12 and node 13 with weight 3,\nan edge between node 18 and node 13 with weight 9,\nan edge between node 16 and node 13 with weight 2,\nan edge between node 17 and node 14 with weight 1,\nan edge between node 15 and node 17 with weight 6,\nan edge between node 18 and node 16 with weight 2,\nQ: Give the shortest path from node 0 to node 9:"
            },
            {
                "from": "gpt",
                "value": "0->11->12->10->4->1->9."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph964",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge between node 8 and node 0 with weight 3,\nan edge between node 16 and node 0 with weight 6,\nan edge between node 2 and node 1 with weight 3,\nan edge between node 1 and node 3 with weight 1,\nan edge between node 4 and node 2 with weight 7,\nan edge between node 8 and node 2 with weight 9,\nan edge between node 5 and node 2 with weight 9,\nan edge between node 15 and node 3 with weight 2,\nan edge between node 8 and node 3 with weight 6,\nan edge between node 4 and node 14 with weight 8,\nan edge between node 7 and node 4 with weight 8,\nan edge between node 13 and node 4 with weight 8,\nan edge between node 16 and node 4 with weight 3,\nan edge between node 4 and node 5 with weight 9,\nan edge between node 17 and node 6 with weight 2,\nan edge between node 18 and node 6 with weight 3,\nan edge between node 6 and node 16 with weight 4,\nan edge between node 7 and node 12 with weight 3,\nan edge between node 7 and node 15 with weight 6,\nan edge between node 16 and node 7 with weight 3,\nan edge between node 8 and node 12 with weight 1,\nan edge between node 9 and node 8 with weight 8,\nan edge between node 8 and node 17 with weight 1,\nan edge between node 8 and node 14 with weight 3,\nan edge between node 9 and node 16 with weight 1,\nan edge between node 10 and node 18 with weight 3,\nan edge between node 11 and node 14 with weight 5,\nan edge between node 13 and node 12 with weight 5,\nan edge between node 15 and node 14 with weight 5,\nan edge between node 18 and node 14 with weight 1,\nQ: Give the shortest path from node 10 to node 1:"
            },
            {
                "from": "gpt",
                "value": "10->18->14->15->3->1."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph311",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge between node 5 and node 0 with weight 9,\nan edge between node 0 and node 3 with weight 4,\nan edge between node 9 and node 0 with weight 5,\nan edge between node 11 and node 1 with weight 1,\nan edge between node 1 and node 5 with weight 10,\nan edge between node 12 and node 1 with weight 10,\nan edge between node 4 and node 1 with weight 7,\nan edge between node 1 and node 6 with weight 9,\nan edge between node 6 and node 2 with weight 10,\nan edge between node 7 and node 2 with weight 4,\nan edge between node 9 and node 3 with weight 9,\nan edge between node 5 and node 9 with weight 4,\nan edge between node 5 and node 6 with weight 6,\nan edge between node 7 and node 10 with weight 6,\nan edge between node 11 and node 7 with weight 10,\nan edge between node 9 and node 7 with weight 1,\nan edge between node 8 and node 7 with weight 10,\nan edge between node 8 and node 9 with weight 5,\nan edge between node 11 and node 9 with weight 4,\nQ: Give the shortest path from node 4 to node 3:"
            },
            {
                "from": "gpt",
                "value": "4->1->11->9->3."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph787",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 12 and node 0 with weight 8,\nan edge between node 7 and node 0 with weight 6,\nan edge between node 0 and node 9 with weight 4,\nan edge between node 0 and node 11 with weight 10,\nan edge between node 11 and node 1 with weight 8,\nan edge between node 1 and node 16 with weight 10,\nan edge between node 6 and node 1 with weight 5,\nan edge between node 2 and node 5 with weight 2,\nan edge between node 2 and node 12 with weight 2,\nan edge between node 7 and node 2 with weight 9,\nan edge between node 2 and node 4 with weight 8,\nan edge between node 9 and node 2 with weight 10,\nan edge between node 2 and node 10 with weight 2,\nan edge between node 14 and node 2 with weight 1,\nan edge between node 8 and node 3 with weight 4,\nan edge between node 7 and node 3 with weight 3,\nan edge between node 4 and node 10 with weight 1,\nan edge between node 4 and node 13 with weight 9,\nan edge between node 14 and node 5 with weight 2,\nan edge between node 5 and node 6 with weight 9,\nan edge between node 6 and node 15 with weight 4,\nan edge between node 10 and node 7 with weight 4,\nan edge between node 7 and node 16 with weight 1,\nan edge between node 10 and node 8 with weight 8,\nan edge between node 9 and node 10 with weight 3,\nan edge between node 12 and node 10 with weight 2,\nan edge between node 15 and node 11 with weight 7,\nan edge between node 12 and node 11 with weight 4,\nan edge between node 13 and node 11 with weight 1,\nan edge between node 12 and node 14 with weight 6,\nan edge between node 13 and node 15 with weight 2,\nan edge between node 14 and node 13 with weight 9,\nQ: Give the shortest path from node 12 to node 5:"
            },
            {
                "from": "gpt",
                "value": "12->2->5."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph291",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge between node 5 and node 0 with weight 7,\nan edge between node 0 and node 12 with weight 3,\nan edge between node 1 and node 8 with weight 10,\nan edge between node 1 and node 12 with weight 6,\nan edge between node 5 and node 2 with weight 6,\nan edge between node 2 and node 4 with weight 5,\nan edge between node 10 and node 3 with weight 3,\nan edge between node 4 and node 10 with weight 5,\nan edge between node 4 and node 11 with weight 9,\nan edge between node 12 and node 4 with weight 2,\nan edge between node 5 and node 11 with weight 8,\nan edge between node 5 and node 7 with weight 10,\nan edge between node 6 and node 5 with weight 7,\nan edge between node 12 and node 7 with weight 1,\nan edge between node 8 and node 9 with weight 1,\nan edge between node 10 and node 12 with weight 3,\nQ: Give the shortest path from node 5 to node 9:"
            },
            {
                "from": "gpt",
                "value": "5->0->12->1->8->9."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph691",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge between node 7 and node 0 with weight 4,\nan edge between node 11 and node 0 with weight 10,\nan edge between node 1 and node 2 with weight 5,\nan edge between node 12 and node 1 with weight 5,\nan edge between node 7 and node 2 with weight 10,\nan edge between node 5 and node 2 with weight 8,\nan edge between node 2 and node 4 with weight 4,\nan edge between node 3 and node 7 with weight 6,\nan edge between node 3 and node 12 with weight 3,\nan edge between node 4 and node 3 with weight 5,\nan edge between node 4 and node 6 with weight 7,\nan edge between node 12 and node 4 with weight 7,\nan edge between node 10 and node 4 with weight 4,\nan edge between node 7 and node 5 with weight 9,\nan edge between node 5 and node 12 with weight 10,\nan edge between node 5 and node 11 with weight 6,\nan edge between node 6 and node 7 with weight 10,\nan edge between node 11 and node 6 with weight 7,\nan edge between node 10 and node 6 with weight 7,\nan edge between node 13 and node 6 with weight 2,\nan edge between node 7 and node 15 with weight 2,\nan edge between node 11 and node 7 with weight 4,\nan edge between node 8 and node 9 with weight 2,\nan edge between node 12 and node 9 with weight 1,\nan edge between node 9 and node 10 with weight 5,\nan edge between node 10 and node 15 with weight 9,\nan edge between node 11 and node 14 with weight 4,\nan edge between node 11 and node 13 with weight 1,\nan edge between node 14 and node 13 with weight 1,\nan edge between node 14 and node 15 with weight 2,\nQ: Give the shortest path from node 1 to node 0:"
            },
            {
                "from": "gpt",
                "value": "1->12->3->7->0."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph988",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge between node 0 and node 9 with weight 3,\nan edge between node 11 and node 0 with weight 4,\nan edge between node 0 and node 7 with weight 6,\nan edge between node 0 and node 6 with weight 3,\nan edge between node 14 and node 1 with weight 10,\nan edge between node 16 and node 1 with weight 4,\nan edge between node 1 and node 10 with weight 10,\nan edge between node 2 and node 1 with weight 1,\nan edge between node 2 and node 9 with weight 1,\nan edge between node 18 and node 2 with weight 9,\nan edge between node 12 and node 2 with weight 2,\nan edge between node 10 and node 2 with weight 7,\nan edge between node 3 and node 2 with weight 4,\nan edge between node 13 and node 3 with weight 9,\nan edge between node 8 and node 3 with weight 3,\nan edge between node 3 and node 17 with weight 2,\nan edge between node 4 and node 15 with weight 6,\nan edge between node 4 and node 16 with weight 10,\nan edge between node 4 and node 17 with weight 8,\nan edge between node 11 and node 5 with weight 7,\nan edge between node 7 and node 5 with weight 10,\nan edge between node 13 and node 5 with weight 3,\nan edge between node 6 and node 15 with weight 5,\nan edge between node 12 and node 7 with weight 9,\nan edge between node 7 and node 17 with weight 5,\nan edge between node 8 and node 9 with weight 6,\nan edge between node 8 and node 18 with weight 8,\nan edge between node 12 and node 8 with weight 1,\nan edge between node 13 and node 8 with weight 8,\nan edge between node 14 and node 9 with weight 6,\nan edge between node 10 and node 13 with weight 9,\nan edge between node 11 and node 12 with weight 2,\nan edge between node 14 and node 11 with weight 1,\nan edge between node 16 and node 17 with weight 5,\nan edge between node 18 and node 17 with weight 5,\nQ: Give the shortest path from node 13 to node 15:"
            },
            {
                "from": "gpt",
                "value": "13->5->11->0->6->15."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph299",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge between node 0 and node 5 with weight 4,\nan edge between node 10 and node 0 with weight 3,\nan edge between node 0 and node 11 with weight 6,\nan edge between node 6 and node 0 with weight 4,\nan edge between node 2 and node 1 with weight 4,\nan edge between node 11 and node 1 with weight 8,\nan edge between node 1 and node 7 with weight 2,\nan edge between node 5 and node 2 with weight 8,\nan edge between node 9 and node 3 with weight 7,\nan edge between node 5 and node 4 with weight 7,\nan edge between node 4 and node 9 with weight 1,\nan edge between node 6 and node 4 with weight 3,\nan edge between node 7 and node 4 with weight 5,\nan edge between node 6 and node 12 with weight 6,\nan edge between node 10 and node 7 with weight 3,\nan edge between node 8 and node 12 with weight 9,\nan edge between node 11 and node 9 with weight 10,\nQ: Give the shortest path from node 0 to node 1:"
            },
            {
                "from": "gpt",
                "value": "0->10->7->1."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph535",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge between node 10 and node 0 with weight 1,\nan edge between node 0 and node 11 with weight 1,\nan edge between node 0 and node 9 with weight 1,\nan edge between node 0 and node 6 with weight 10,\nan edge between node 1 and node 13 with weight 1,\nan edge between node 3 and node 1 with weight 6,\nan edge between node 8 and node 2 with weight 8,\nan edge between node 5 and node 2 with weight 4,\nan edge between node 4 and node 14 with weight 7,\nan edge between node 6 and node 4 with weight 10,\nan edge between node 5 and node 13 with weight 1,\nan edge between node 5 and node 12 with weight 10,\nan edge between node 8 and node 5 with weight 7,\nan edge between node 5 and node 7 with weight 10,\nan edge between node 5 and node 9 with weight 4,\nan edge between node 6 and node 13 with weight 5,\nan edge between node 7 and node 10 with weight 3,\nan edge between node 8 and node 7 with weight 9,\nan edge between node 10 and node 13 with weight 6,\nan edge between node 10 and node 14 with weight 10,\nan edge between node 14 and node 11 with weight 5,\nan edge between node 14 and node 12 with weight 1,\nQ: Give the shortest path from node 11 to node 3:"
            },
            {
                "from": "gpt",
                "value": "11->0->9->5->13->1->3."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph243",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge between node 1 and node 0 with weight 4,\nan edge between node 8 and node 1 with weight 9,\nan edge between node 1 and node 10 with weight 6,\nan edge between node 2 and node 7 with weight 2,\nan edge between node 8 and node 2 with weight 6,\nan edge between node 11 and node 3 with weight 4,\nan edge between node 7 and node 3 with weight 4,\nan edge between node 3 and node 8 with weight 6,\nan edge between node 4 and node 5 with weight 1,\nan edge between node 8 and node 4 with weight 4,\nan edge between node 4 and node 6 with weight 3,\nan edge between node 5 and node 12 with weight 4,\nan edge between node 8 and node 5 with weight 1,\nan edge between node 10 and node 5 with weight 6,\nan edge between node 12 and node 6 with weight 2,\nan edge between node 7 and node 11 with weight 10,\nan edge between node 9 and node 8 with weight 8,\nan edge between node 10 and node 8 with weight 5,\nan edge between node 9 and node 12 with weight 7,\nan edge between node 12 and node 11 with weight 4,\nQ: Give the shortest path from node 2 to node 5:"
            },
            {
                "from": "gpt",
                "value": "2->8->5."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph295",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge between node 10 and node 0 with weight 4,\nan edge between node 0 and node 2 with weight 4,\nan edge between node 11 and node 1 with weight 10,\nan edge between node 1 and node 6 with weight 6,\nan edge between node 9 and node 1 with weight 10,\nan edge between node 2 and node 12 with weight 3,\nan edge between node 3 and node 7 with weight 9,\nan edge between node 4 and node 5 with weight 4,\nan edge between node 4 and node 9 with weight 1,\nan edge between node 8 and node 5 with weight 3,\nan edge between node 9 and node 7 with weight 5,\nan edge between node 8 and node 10 with weight 3,\nan edge between node 9 and node 8 with weight 6,\nan edge between node 10 and node 12 with weight 8,\nQ: Give the shortest path from node 11 to node 2:"
            },
            {
                "from": "gpt",
                "value": "11->1->9->8->10->0->2."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph257",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge between node 8 and node 0 with weight 9,\nan edge between node 3 and node 1 with weight 6,\nan edge between node 1 and node 2 with weight 5,\nan edge between node 10 and node 2 with weight 9,\nan edge between node 2 and node 6 with weight 10,\nan edge between node 2 and node 4 with weight 10,\nan edge between node 2 and node 8 with weight 2,\nan edge between node 4 and node 5 with weight 6,\nan edge between node 4 and node 7 with weight 3,\nan edge between node 4 and node 11 with weight 8,\nan edge between node 5 and node 9 with weight 4,\nan edge between node 5 and node 8 with weight 9,\nan edge between node 6 and node 10 with weight 8,\nan edge between node 12 and node 9 with weight 4,\nQ: Give the shortest path from node 11 to node 3:"
            },
            {
                "from": "gpt",
                "value": "11->4->2->1->3."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph312",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge between node 5 and node 0 with weight 6,\nan edge between node 6 and node 0 with weight 4,\nan edge between node 0 and node 2 with weight 3,\nan edge between node 10 and node 0 with weight 1,\nan edge between node 5 and node 1 with weight 9,\nan edge between node 9 and node 1 with weight 3,\nan edge between node 12 and node 1 with weight 3,\nan edge between node 3 and node 5 with weight 1,\nan edge between node 6 and node 3 with weight 4,\nan edge between node 3 and node 10 with weight 4,\nan edge between node 4 and node 5 with weight 8,\nan edge between node 12 and node 4 with weight 10,\nan edge between node 5 and node 11 with weight 9,\nan edge between node 6 and node 7 with weight 2,\nan edge between node 6 and node 9 with weight 7,\nan edge between node 11 and node 6 with weight 1,\nan edge between node 12 and node 6 with weight 7,\nan edge between node 8 and node 7 with weight 3,\nan edge between node 11 and node 7 with weight 1,\nan edge between node 8 and node 10 with weight 4,\nan edge between node 12 and node 11 with weight 7,\nQ: Give the shortest path from node 1 to node 8:"
            },
            {
                "from": "gpt",
                "value": "1->12->11->7->8."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph226",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge between node 5 and node 0 with weight 9,\nan edge between node 8 and node 0 with weight 1,\nan edge between node 5 and node 1 with weight 5,\nan edge between node 1 and node 2 with weight 7,\nan edge between node 4 and node 2 with weight 10,\nan edge between node 3 and node 5 with weight 3,\nan edge between node 3 and node 10 with weight 3,\nan edge between node 6 and node 4 with weight 3,\nan edge between node 4 and node 9 with weight 6,\nan edge between node 7 and node 5 with weight 5,\nan edge between node 9 and node 6 with weight 8,\nan edge between node 11 and node 7 with weight 2,\nan edge between node 10 and node 8 with weight 7,\nQ: Give the shortest path from node 7 to node 6:"
            },
            {
                "from": "gpt",
                "value": "7->5->1->2->4->6."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph152",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge between node 0 and node 6 with weight 6,\nan edge between node 0 and node 5 with weight 9,\nan edge between node 1 and node 9 with weight 2,\nan edge between node 6 and node 1 with weight 9,\nan edge between node 1 and node 7 with weight 2,\nan edge between node 9 and node 2 with weight 7,\nan edge between node 2 and node 8 with weight 10,\nan edge between node 11 and node 3 with weight 9,\nan edge between node 7 and node 4 with weight 9,\nan edge between node 9 and node 5 with weight 10,\nan edge between node 5 and node 6 with weight 4,\nan edge between node 6 and node 9 with weight 10,\nan edge between node 6 and node 10 with weight 2,\nan edge between node 11 and node 8 with weight 10,\nQ: Give the shortest path from node 3 to node 7:"
            },
            {
                "from": "gpt",
                "value": "3->11->8->2->9->1->7."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph332",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge between node 6 and node 0 with weight 5,\nan edge between node 0 and node 11 with weight 2,\nan edge between node 9 and node 0 with weight 1,\nan edge between node 0 and node 7 with weight 4,\nan edge between node 4 and node 0 with weight 8,\nan edge between node 1 and node 10 with weight 3,\nan edge between node 6 and node 1 with weight 2,\nan edge between node 1 and node 2 with weight 7,\nan edge between node 10 and node 2 with weight 1,\nan edge between node 6 and node 3 with weight 2,\nan edge between node 5 and node 8 with weight 10,\nan edge between node 12 and node 7 with weight 10,\nan edge between node 9 and node 7 with weight 9,\nan edge between node 8 and node 10 with weight 7,\nan edge between node 11 and node 8 with weight 1,\nQ: Give the shortest path from node 11 to node 1:"
            },
            {
                "from": "gpt",
                "value": "11->0->6->1."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph979",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge between node 0 and node 4 with weight 8,\nan edge between node 0 and node 15 with weight 3,\nan edge between node 0 and node 17 with weight 9,\nan edge between node 10 and node 1 with weight 10,\nan edge between node 1 and node 14 with weight 1,\nan edge between node 1 and node 7 with weight 8,\nan edge between node 2 and node 13 with weight 3,\nan edge between node 16 and node 2 with weight 10,\nan edge between node 2 and node 12 with weight 2,\nan edge between node 11 and node 2 with weight 6,\nan edge between node 3 and node 2 with weight 9,\nan edge between node 5 and node 3 with weight 2,\nan edge between node 15 and node 3 with weight 5,\nan edge between node 16 and node 3 with weight 7,\nan edge between node 3 and node 12 with weight 3,\nan edge between node 11 and node 3 with weight 8,\nan edge between node 3 and node 7 with weight 2,\nan edge between node 4 and node 7 with weight 3,\nan edge between node 17 and node 4 with weight 3,\nan edge between node 5 and node 14 with weight 6,\nan edge between node 9 and node 5 with weight 9,\nan edge between node 13 and node 5 with weight 9,\nan edge between node 5 and node 7 with weight 1,\nan edge between node 6 and node 18 with weight 1,\nan edge between node 6 and node 9 with weight 5,\nan edge between node 8 and node 6 with weight 8,\nan edge between node 7 and node 14 with weight 5,\nan edge between node 9 and node 10 with weight 2,\nan edge between node 18 and node 9 with weight 10,\nan edge between node 9 and node 13 with weight 7,\nan edge between node 12 and node 9 with weight 1,\nan edge between node 17 and node 11 with weight 3,\nan edge between node 14 and node 12 with weight 9,\nan edge between node 14 and node 13 with weight 9,\nan edge between node 14 and node 16 with weight 5,\nan edge between node 16 and node 15 with weight 5,\nan edge between node 16 and node 18 with weight 7,\nQ: Give the shortest path from node 17 to node 8:"
            },
            {
                "from": "gpt",
                "value": "17->4->7->3->12->9->6->8."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph591",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge between node 0 and node 2 with weight 2,\nan edge between node 13 and node 1 with weight 7,\nan edge between node 1 and node 10 with weight 2,\nan edge between node 4 and node 1 with weight 5,\nan edge between node 1 and node 7 with weight 1,\nan edge between node 1 and node 3 with weight 10,\nan edge between node 2 and node 4 with weight 8,\nan edge between node 11 and node 2 with weight 8,\nan edge between node 8 and node 2 with weight 3,\nan edge between node 2 and node 3 with weight 1,\nan edge between node 4 and node 3 with weight 9,\nan edge between node 3 and node 8 with weight 8,\nan edge between node 3 and node 5 with weight 1,\nan edge between node 11 and node 4 with weight 3,\nan edge between node 12 and node 5 with weight 6,\nan edge between node 10 and node 5 with weight 4,\nan edge between node 9 and node 5 with weight 8,\nan edge between node 5 and node 8 with weight 2,\nan edge between node 10 and node 6 with weight 5,\nan edge between node 11 and node 6 with weight 4,\nan edge between node 6 and node 8 with weight 9,\nan edge between node 7 and node 14 with weight 3,\nan edge between node 13 and node 9 with weight 4,\nan edge between node 14 and node 9 with weight 1,\nan edge between node 12 and node 10 with weight 3,\nan edge between node 14 and node 11 with weight 5,\nan edge between node 14 and node 13 with weight 7,\nQ: Give the shortest path from node 10 to node 0:"
            },
            {
                "from": "gpt",
                "value": "10->5->3->2->0."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph756",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge between node 16 and node 0 with weight 7,\nan edge between node 1 and node 9 with weight 1,\nan edge between node 5 and node 1 with weight 4,\nan edge between node 1 and node 15 with weight 8,\nan edge between node 10 and node 2 with weight 7,\nan edge between node 2 and node 7 with weight 6,\nan edge between node 8 and node 2 with weight 3,\nan edge between node 2 and node 11 with weight 8,\nan edge between node 4 and node 2 with weight 9,\nan edge between node 7 and node 3 with weight 4,\nan edge between node 4 and node 15 with weight 2,\nan edge between node 15 and node 5 with weight 7,\nan edge between node 11 and node 5 with weight 5,\nan edge between node 16 and node 5 with weight 5,\nan edge between node 6 and node 12 with weight 7,\nan edge between node 14 and node 7 with weight 8,\nan edge between node 7 and node 16 with weight 7,\nan edge between node 7 and node 12 with weight 6,\nan edge between node 8 and node 16 with weight 9,\nan edge between node 13 and node 9 with weight 5,\nan edge between node 15 and node 9 with weight 3,\nan edge between node 10 and node 11 with weight 6,\nan edge between node 16 and node 11 with weight 2,\nan edge between node 15 and node 16 with weight 2,\nQ: Give the shortest path from node 13 to node 6:"
            },
            {
                "from": "gpt",
                "value": "13->9->15->16->7->12->6."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph229",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge between node 0 and node 6 with weight 4,\nan edge between node 0 and node 2 with weight 1,\nan edge between node 0 and node 11 with weight 8,\nan edge between node 1 and node 9 with weight 6,\nan edge between node 10 and node 1 with weight 10,\nan edge between node 2 and node 9 with weight 4,\nan edge between node 2 and node 11 with weight 5,\nan edge between node 3 and node 2 with weight 10,\nan edge between node 4 and node 3 with weight 4,\nan edge between node 5 and node 3 with weight 10,\nan edge between node 3 and node 8 with weight 7,\nan edge between node 10 and node 4 with weight 6,\nan edge between node 7 and node 6 with weight 3,\nan edge between node 10 and node 6 with weight 7,\nan edge between node 8 and node 6 with weight 10,\nan edge between node 7 and node 10 with weight 4,\nan edge between node 8 and node 9 with weight 5,\nan edge between node 10 and node 8 with weight 9,\nan edge between node 11 and node 10 with weight 8,\nQ: Give the shortest path from node 1 to node 3:"
            },
            {
                "from": "gpt",
                "value": "1->9->8->3."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph674",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge between node 0 and node 8 with weight 7,\nan edge between node 1 and node 0 with weight 10,\nan edge between node 1 and node 12 with weight 9,\nan edge between node 3 and node 1 with weight 6,\nan edge between node 5 and node 1 with weight 7,\nan edge between node 11 and node 1 with weight 8,\nan edge between node 12 and node 2 with weight 8,\nan edge between node 5 and node 2 with weight 4,\nan edge between node 2 and node 15 with weight 5,\nan edge between node 2 and node 9 with weight 2,\nan edge between node 11 and node 3 with weight 7,\nan edge between node 13 and node 3 with weight 10,\nan edge between node 3 and node 15 with weight 10,\nan edge between node 4 and node 13 with weight 3,\nan edge between node 8 and node 4 with weight 9,\nan edge between node 4 and node 14 with weight 8,\nan edge between node 5 and node 12 with weight 8,\nan edge between node 11 and node 5 with weight 8,\nan edge between node 15 and node 5 with weight 5,\nan edge between node 14 and node 5 with weight 6,\nan edge between node 9 and node 5 with weight 2,\nan edge between node 9 and node 6 with weight 4,\nan edge between node 8 and node 7 with weight 7,\nan edge between node 8 and node 13 with weight 10,\nan edge between node 8 and node 10 with weight 7,\nan edge between node 11 and node 10 with weight 2,\nan edge between node 10 and node 13 with weight 6,\nan edge between node 13 and node 11 with weight 1,\nan edge between node 14 and node 13 with weight 6,\nQ: Give the shortest path from node 6 to node 7:"
            },
            {
                "from": "gpt",
                "value": "6->9->5->11->10->8->7."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph1171",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge between node 18 and node 0 with weight 10,\nan edge between node 0 and node 8 with weight 9,\nan edge between node 12 and node 1 with weight 6,\nan edge between node 10 and node 1 with weight 10,\nan edge between node 1 and node 11 with weight 1,\nan edge between node 1 and node 15 with weight 6,\nan edge between node 1 and node 9 with weight 6,\nan edge between node 2 and node 16 with weight 2,\nan edge between node 2 and node 18 with weight 1,\nan edge between node 2 and node 4 with weight 4,\nan edge between node 3 and node 7 with weight 10,\nan edge between node 17 and node 3 with weight 10,\nan edge between node 3 and node 15 with weight 2,\nan edge between node 3 and node 19 with weight 9,\nan edge between node 4 and node 16 with weight 7,\nan edge between node 10 and node 4 with weight 3,\nan edge between node 4 and node 11 with weight 4,\nan edge between node 18 and node 4 with weight 3,\nan edge between node 19 and node 4 with weight 2,\nan edge between node 4 and node 9 with weight 3,\nan edge between node 12 and node 5 with weight 5,\nan edge between node 14 and node 5 with weight 2,\nan edge between node 9 and node 5 with weight 6,\nan edge between node 8 and node 5 with weight 8,\nan edge between node 6 and node 12 with weight 5,\nan edge between node 6 and node 9 with weight 6,\nan edge between node 8 and node 6 with weight 10,\nan edge between node 7 and node 16 with weight 2,\nan edge between node 7 and node 13 with weight 6,\nan edge between node 17 and node 7 with weight 3,\nan edge between node 7 and node 10 with weight 9,\nan edge between node 7 and node 18 with weight 5,\nan edge between node 19 and node 7 with weight 3,\nan edge between node 7 and node 9 with weight 9,\nan edge between node 8 and node 12 with weight 8,\nan edge between node 8 and node 10 with weight 6,\nan edge between node 8 and node 14 with weight 1,\nan edge between node 8 and node 18 with weight 3,\nan edge between node 17 and node 9 with weight 6,\nan edge between node 9 and node 19 with weight 4,\nan edge between node 10 and node 17 with weight 10,\nan edge between node 10 and node 18 with weight 5,\nan edge between node 19 and node 10 with weight 6,\nan edge between node 16 and node 12 with weight 2,\nan edge between node 12 and node 14 with weight 9,\nan edge between node 12 and node 18 with weight 3,\nan edge between node 12 and node 19 with weight 5,\nan edge between node 19 and node 15 with weight 4,\nan edge between node 19 and node 17 with weight 10,\nQ: Give the shortest path from node 14 to node 13:"
            },
            {
                "from": "gpt",
                "value": "14->8->18->7->13."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph184",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge between node 0 and node 5 with weight 8,\nan edge between node 1 and node 0 with weight 2,\nan edge between node 10 and node 1 with weight 2,\nan edge between node 1 and node 8 with weight 8,\nan edge between node 2 and node 4 with weight 2,\nan edge between node 7 and node 2 with weight 4,\nan edge between node 2 and node 8 with weight 9,\nan edge between node 3 and node 4 with weight 3,\nan edge between node 10 and node 3 with weight 8,\nan edge between node 3 and node 8 with weight 4,\nan edge between node 5 and node 9 with weight 1,\nan edge between node 6 and node 8 with weight 9,\nan edge between node 7 and node 11 with weight 1,\nan edge between node 7 and node 8 with weight 9,\nQ: Give the shortest path from node 11 to node 9:"
            },
            {
                "from": "gpt",
                "value": "11->7->8->1->0->5->9."
            }
        ]
    },
    {
        "id": "shortest_path-hard-graph228",
        "conversations": [
            {
                "from": "human",
                "value": "In a undirected graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge between node 5 and node 0 with weight 1,\nan edge between node 1 and node 11 with weight 7,\nan edge between node 1 and node 7 with weight 4,\nan edge between node 5 and node 2 with weight 4,\nan edge between node 8 and node 2 with weight 1,\nan edge between node 9 and node 3 with weight 6,\nan edge between node 4 and node 3 with weight 7,\nan edge between node 11 and node 3 with weight 8,\nan edge between node 7 and node 4 with weight 7,\nan edge between node 7 and node 5 with weight 2,\nan edge between node 7 and node 6 with weight 9,\nan edge between node 10 and node 6 with weight 8,\nQ: Give the shortest path from node 9 to node 8:"
            },
            {
                "from": "gpt",
                "value": "9->3->4->7->5->2->8."
            }
        ]
    }
]