[
    {
        "id": "flow-easy-graph208",
        "image": "data/flow/graph_visual/easy/graph208.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 0 to node 5 with capacity 4,\nan edge from node 0 to node 2 with capacity 2,\nan edge from node 0 to node 8 with capacity 3,\nan edge from node 1 to node 4 with capacity 7,\nan edge from node 3 to node 5 with capacity 4,\nan edge from node 3 to node 0 with capacity 3,\nan edge from node 3 to node 8 with capacity 7,\nan edge from node 5 to node 6 with capacity 6,\nan edge from node 8 to node 5 with capacity 1,\nan edge from node 8 to node 3 with capacity 3,\nan edge from node 8 to node 7 with capacity 2,\nWhat is the maximum flow from node 8 to node 6:"
            },
            {
                "from": "gpt",
                "value": "4."
            }
        ]
    },
    {
        "id": "flow-easy-graph3",
        "image": "data/flow/graph_visual/easy/graph3.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge from node 0 to node 3 with capacity 2,\nan edge from node 0 to node 4 with capacity 8,\nan edge from node 1 to node 4 with capacity 6,\nan edge from node 2 to node 1 with capacity 10,\nan edge from node 2 to node 4 with capacity 6,\nan edge from node 3 to node 2 with capacity 8,\nan edge from node 3 to node 4 with capacity 1,\nan edge from node 4 to node 1 with capacity 4,\nWhat is the maximum flow from node 3 to node 1:"
            },
            {
                "from": "gpt",
                "value": "9."
            }
        ]
    },
    {
        "id": "flow-easy-graph296",
        "image": "data/flow/graph_visual/easy/graph296.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge from node 1 to node 7 with capacity 6,\nan edge from node 1 to node 2 with capacity 1,\nan edge from node 2 to node 7 with capacity 1,\nan edge from node 2 to node 9 with capacity 10,\nan edge from node 2 to node 8 with capacity 10,\nan edge from node 3 to node 7 with capacity 7,\nan edge from node 3 to node 9 with capacity 10,\nan edge from node 3 to node 0 with capacity 8,\nan edge from node 4 to node 8 with capacity 1,\nan edge from node 5 to node 7 with capacity 10,\nan edge from node 5 to node 9 with capacity 6,\nan edge from node 5 to node 2 with capacity 2,\nan edge from node 7 to node 4 with capacity 10,\nan edge from node 8 to node 7 with capacity 2,\nan edge from node 8 to node 3 with capacity 5,\nan edge from node 8 to node 1 with capacity 9,\nan edge from node 9 to node 1 with capacity 10,\nWhat is the maximum flow from node 2 to node 0:"
            },
            {
                "from": "gpt",
                "value": "5."
            }
        ]
    },
    {
        "id": "flow-easy-graph91",
        "image": "data/flow/graph_visual/easy/graph91.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge from node 1 to node 4 with capacity 4,\nan edge from node 1 to node 0 with capacity 10,\nan edge from node 1 to node 2 with capacity 6,\nan edge from node 1 to node 5 with capacity 7,\nan edge from node 3 to node 0 with capacity 1,\nan edge from node 4 to node 3 with capacity 5,\nan edge from node 5 to node 3 with capacity 9,\nWhat is the maximum flow from node 1 to node 0:"
            },
            {
                "from": "gpt",
                "value": "11."
            }
        ]
    },
    {
        "id": "flow-easy-graph38",
        "image": "data/flow/graph_visual/easy/graph38.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge from node 0 to node 3 with capacity 8,\nan edge from node 2 to node 1 with capacity 7,\nan edge from node 2 to node 0 with capacity 8,\nan edge from node 2 to node 4 with capacity 4,\nan edge from node 3 to node 1 with capacity 10,\nan edge from node 3 to node 2 with capacity 9,\nan edge from node 3 to node 4 with capacity 1,\nan edge from node 4 to node 1 with capacity 5,\nWhat is the maximum flow from node 0 to node 1:"
            },
            {
                "from": "gpt",
                "value": "8."
            }
        ]
    },
    {
        "id": "flow-easy-graph259",
        "image": "data/flow/graph_visual/easy/graph259.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge from node 0 to node 1 with capacity 7,\nan edge from node 0 to node 2 with capacity 6,\nan edge from node 0 to node 3 with capacity 5,\nan edge from node 1 to node 0 with capacity 4,\nan edge from node 1 to node 7 with capacity 10,\nan edge from node 2 to node 7 with capacity 2,\nan edge from node 2 to node 3 with capacity 2,\nan edge from node 3 to node 1 with capacity 1,\nan edge from node 3 to node 2 with capacity 4,\nan edge from node 3 to node 0 with capacity 4,\nan edge from node 3 to node 5 with capacity 9,\nan edge from node 4 to node 5 with capacity 10,\nan edge from node 5 to node 0 with capacity 2,\nan edge from node 5 to node 3 with capacity 2,\nan edge from node 6 to node 1 with capacity 8,\nan edge from node 6 to node 0 with capacity 9,\nan edge from node 7 to node 9 with capacity 4,\nan edge from node 8 to node 0 with capacity 10,\nan edge from node 8 to node 7 with capacity 6,\nan edge from node 8 to node 5 with capacity 9,\nan edge from node 8 to node 6 with capacity 10,\nan edge from node 9 to node 2 with capacity 6,\nan edge from node 9 to node 0 with capacity 4,\nan edge from node 9 to node 4 with capacity 1,\nan edge from node 9 to node 5 with capacity 4,\nan edge from node 9 to node 8 with capacity 2,\nWhat is the maximum flow from node 4 to node 6:"
            },
            {
                "from": "gpt",
                "value": "2."
            }
        ]
    },
    {
        "id": "flow-easy-graph10",
        "image": "data/flow/graph_visual/easy/graph10.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge from node 0 to node 2 with capacity 9,\nan edge from node 2 to node 1 with capacity 8,\nan edge from node 2 to node 4 with capacity 8,\nan edge from node 3 to node 0 with capacity 5,\nan edge from node 3 to node 1 with capacity 4,\nan edge from node 3 to node 2 with capacity 5,\nan edge from node 4 to node 1 with capacity 7,\nan edge from node 4 to node 3 with capacity 1,\nWhat is the maximum flow from node 2 to node 1:"
            },
            {
                "from": "gpt",
                "value": "16."
            }
        ]
    },
    {
        "id": "flow-easy-graph172",
        "image": "data/flow/graph_visual/easy/graph172.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge from node 1 to node 3 with capacity 9,\nan edge from node 1 to node 0 with capacity 6,\nan edge from node 2 to node 4 with capacity 3,\nan edge from node 2 to node 0 with capacity 7,\nan edge from node 3 to node 5 with capacity 3,\nan edge from node 4 to node 6 with capacity 8,\nan edge from node 5 to node 6 with capacity 8,\nan edge from node 5 to node 0 with capacity 4,\nan edge from node 6 to node 4 with capacity 7,\nan edge from node 6 to node 2 with capacity 2,\nan edge from node 7 to node 3 with capacity 8,\nWhat is the maximum flow from node 1 to node 0:"
            },
            {
                "from": "gpt",
                "value": "9."
            }
        ]
    },
    {
        "id": "flow-easy-graph15",
        "image": "data/flow/graph_visual/easy/graph15.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge from node 0 to node 4 with capacity 1,\nan edge from node 0 to node 3 with capacity 6,\nan edge from node 1 to node 4 with capacity 9,\nan edge from node 2 to node 0 with capacity 10,\nan edge from node 3 to node 1 with capacity 3,\nan edge from node 3 to node 4 with capacity 7,\nan edge from node 4 to node 0 with capacity 10,\nWhat is the maximum flow from node 0 to node 4:"
            },
            {
                "from": "gpt",
                "value": "7."
            }
        ]
    },
    {
        "id": "flow-easy-graph267",
        "image": "data/flow/graph_visual/easy/graph267.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge from node 0 to node 5 with capacity 10,\nan edge from node 1 to node 2 with capacity 5,\nan edge from node 2 to node 9 with capacity 6,\nan edge from node 2 to node 1 with capacity 6,\nan edge from node 3 to node 4 with capacity 4,\nan edge from node 3 to node 5 with capacity 9,\nan edge from node 3 to node 6 with capacity 5,\nan edge from node 4 to node 3 with capacity 6,\nan edge from node 4 to node 5 with capacity 8,\nan edge from node 5 to node 3 with capacity 6,\nan edge from node 6 to node 4 with capacity 2,\nan edge from node 6 to node 2 with capacity 4,\nan edge from node 6 to node 8 with capacity 8,\nan edge from node 7 to node 0 with capacity 6,\nan edge from node 7 to node 9 with capacity 5,\nan edge from node 8 to node 7 with capacity 1,\nan edge from node 9 to node 2 with capacity 10,\nan edge from node 9 to node 5 with capacity 7,\nan edge from node 9 to node 7 with capacity 2,\nWhat is the maximum flow from node 9 to node 1:"
            },
            {
                "from": "gpt",
                "value": "6."
            }
        ]
    },
    {
        "id": "flow-easy-graph247",
        "image": "data/flow/graph_visual/easy/graph247.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 0 to node 4 with capacity 6,\nan edge from node 0 to node 7 with capacity 10,\nan edge from node 1 to node 5 with capacity 4,\nan edge from node 1 to node 7 with capacity 3,\nan edge from node 1 to node 3 with capacity 1,\nan edge from node 2 to node 1 with capacity 4,\nan edge from node 2 to node 6 with capacity 4,\nan edge from node 2 to node 3 with capacity 7,\nan edge from node 3 to node 7 with capacity 10,\nan edge from node 4 to node 7 with capacity 8,\nan edge from node 5 to node 1 with capacity 6,\nan edge from node 5 to node 8 with capacity 4,\nan edge from node 5 to node 0 with capacity 8,\nan edge from node 7 to node 1 with capacity 9,\nan edge from node 7 to node 2 with capacity 6,\nan edge from node 8 to node 5 with capacity 5,\nan edge from node 8 to node 6 with capacity 4,\nan edge from node 8 to node 7 with capacity 3,\nan edge from node 8 to node 3 with capacity 10,\nWhat is the maximum flow from node 7 to node 3:"
            },
            {
                "from": "gpt",
                "value": "11."
            }
        ]
    },
    {
        "id": "flow-easy-graph250",
        "image": "data/flow/graph_visual/easy/graph250.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge from node 0 to node 7 with capacity 6,\nan edge from node 0 to node 8 with capacity 3,\nan edge from node 0 to node 9 with capacity 3,\nan edge from node 1 to node 5 with capacity 1,\nan edge from node 2 to node 1 with capacity 8,\nan edge from node 3 to node 0 with capacity 7,\nan edge from node 3 to node 6 with capacity 8,\nan edge from node 4 to node 7 with capacity 1,\nan edge from node 4 to node 8 with capacity 7,\nan edge from node 4 to node 6 with capacity 3,\nan edge from node 4 to node 3 with capacity 2,\nan edge from node 5 to node 2 with capacity 10,\nan edge from node 5 to node 9 with capacity 7,\nan edge from node 5 to node 1 with capacity 6,\nan edge from node 6 to node 2 with capacity 7,\nan edge from node 6 to node 9 with capacity 6,\nan edge from node 6 to node 4 with capacity 10,\nan edge from node 8 to node 6 with capacity 5,\nan edge from node 8 to node 3 with capacity 4,\nan edge from node 9 to node 6 with capacity 4,\nan edge from node 9 to node 4 with capacity 1,\nWhat is the maximum flow from node 0 to node 7:"
            },
            {
                "from": "gpt",
                "value": "7."
            }
        ]
    },
    {
        "id": "flow-easy-graph273",
        "image": "data/flow/graph_visual/easy/graph273.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge from node 0 to node 9 with capacity 10,\nan edge from node 0 to node 1 with capacity 7,\nan edge from node 1 to node 4 with capacity 1,\nan edge from node 2 to node 1 with capacity 10,\nan edge from node 3 to node 4 with capacity 3,\nan edge from node 4 to node 3 with capacity 10,\nan edge from node 5 to node 8 with capacity 3,\nan edge from node 5 to node 3 with capacity 2,\nan edge from node 6 to node 5 with capacity 5,\nan edge from node 6 to node 2 with capacity 5,\nan edge from node 7 to node 2 with capacity 10,\nan edge from node 7 to node 8 with capacity 10,\nan edge from node 8 to node 5 with capacity 3,\nan edge from node 8 to node 2 with capacity 4,\nan edge from node 8 to node 7 with capacity 5,\nan edge from node 8 to node 3 with capacity 5,\nan edge from node 9 to node 5 with capacity 2,\nan edge from node 9 to node 1 with capacity 10,\nan edge from node 9 to node 3 with capacity 10,\nWhat is the maximum flow from node 0 to node 4:"
            },
            {
                "from": "gpt",
                "value": "4."
            }
        ]
    },
    {
        "id": "flow-easy-graph149",
        "image": "data/flow/graph_visual/easy/graph149.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge from node 0 to node 5 with capacity 1,\nan edge from node 0 to node 2 with capacity 7,\nan edge from node 1 to node 0 with capacity 1,\nan edge from node 2 to node 6 with capacity 3,\nan edge from node 3 to node 5 with capacity 5,\nan edge from node 3 to node 0 with capacity 6,\nan edge from node 4 to node 5 with capacity 10,\nan edge from node 4 to node 6 with capacity 1,\nan edge from node 4 to node 1 with capacity 8,\nan edge from node 5 to node 2 with capacity 6,\nan edge from node 5 to node 6 with capacity 7,\nan edge from node 5 to node 1 with capacity 10,\nan edge from node 6 to node 3 with capacity 7,\nan edge from node 6 to node 5 with capacity 7,\nan edge from node 6 to node 4 with capacity 10,\nWhat is the maximum flow from node 2 to node 5:"
            },
            {
                "from": "gpt",
                "value": "3."
            }
        ]
    },
    {
        "id": "flow-easy-graph113",
        "image": "data/flow/graph_visual/easy/graph113.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge from node 0 to node 1 with capacity 10,\nan edge from node 0 to node 4 with capacity 5,\nan edge from node 1 to node 0 with capacity 9,\nan edge from node 1 to node 6 with capacity 8,\nan edge from node 2 to node 4 with capacity 2,\nan edge from node 4 to node 1 with capacity 9,\nan edge from node 4 to node 2 with capacity 2,\nan edge from node 5 to node 1 with capacity 2,\nan edge from node 5 to node 2 with capacity 10,\nan edge from node 5 to node 6 with capacity 6,\nan edge from node 6 to node 3 with capacity 6,\nWhat is the maximum flow from node 5 to node 6:"
            },
            {
                "from": "gpt",
                "value": "10."
            }
        ]
    },
    {
        "id": "flow-easy-graph48",
        "image": "data/flow/graph_visual/easy/graph48.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge from node 1 to node 4 with capacity 2,\nan edge from node 1 to node 3 with capacity 10,\nan edge from node 2 to node 4 with capacity 4,\nan edge from node 3 to node 1 with capacity 9,\nan edge from node 3 to node 0 with capacity 7,\nan edge from node 4 to node 3 with capacity 6,\nan edge from node 4 to node 0 with capacity 7,\nWhat is the maximum flow from node 1 to node 0:"
            },
            {
                "from": "gpt",
                "value": "9."
            }
        ]
    },
    {
        "id": "flow-easy-graph52",
        "image": "data/flow/graph_visual/easy/graph52.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge from node 0 to node 4 with capacity 10,\nan edge from node 1 to node 4 with capacity 3,\nan edge from node 1 to node 2 with capacity 9,\nan edge from node 1 to node 0 with capacity 8,\nan edge from node 2 to node 1 with capacity 9,\nan edge from node 2 to node 0 with capacity 5,\nan edge from node 3 to node 5 with capacity 9,\nan edge from node 4 to node 2 with capacity 6,\nan edge from node 5 to node 4 with capacity 2,\nan edge from node 5 to node 2 with capacity 9,\nWhat is the maximum flow from node 2 to node 4:"
            },
            {
                "from": "gpt",
                "value": "13."
            }
        ]
    },
    {
        "id": "flow-easy-graph255",
        "image": "data/flow/graph_visual/easy/graph255.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge from node 0 to node 4 with capacity 9,\nan edge from node 1 to node 8 with capacity 2,\nan edge from node 1 to node 5 with capacity 7,\nan edge from node 2 to node 3 with capacity 4,\nan edge from node 2 to node 0 with capacity 10,\nan edge from node 2 to node 9 with capacity 1,\nan edge from node 3 to node 1 with capacity 3,\nan edge from node 3 to node 7 with capacity 3,\nan edge from node 3 to node 5 with capacity 6,\nan edge from node 4 to node 1 with capacity 3,\nan edge from node 4 to node 0 with capacity 7,\nan edge from node 4 to node 8 with capacity 2,\nan edge from node 5 to node 4 with capacity 10,\nan edge from node 6 to node 1 with capacity 10,\nan edge from node 7 to node 2 with capacity 3,\nan edge from node 8 to node 0 with capacity 1,\nan edge from node 8 to node 6 with capacity 6,\nWhat is the maximum flow from node 6 to node 0:"
            },
            {
                "from": "gpt",
                "value": "8."
            }
        ]
    },
    {
        "id": "flow-easy-graph18",
        "image": "data/flow/graph_visual/easy/graph18.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge from node 0 to node 4 with capacity 7,\nan edge from node 1 to node 0 with capacity 4,\nan edge from node 1 to node 4 with capacity 1,\nan edge from node 2 to node 0 with capacity 1,\nan edge from node 2 to node 4 with capacity 1,\nan edge from node 3 to node 0 with capacity 9,\nan edge from node 4 to node 1 with capacity 5,\nan edge from node 4 to node 0 with capacity 10,\nan edge from node 4 to node 2 with capacity 9,\nWhat is the maximum flow from node 2 to node 0:"
            },
            {
                "from": "gpt",
                "value": "2."
            }
        ]
    },
    {
        "id": "flow-easy-graph28",
        "image": "data/flow/graph_visual/easy/graph28.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge from node 0 to node 1 with capacity 3,\nan edge from node 0 to node 3 with capacity 3,\nan edge from node 0 to node 2 with capacity 4,\nan edge from node 1 to node 0 with capacity 6,\nan edge from node 1 to node 4 with capacity 5,\nan edge from node 2 to node 1 with capacity 7,\nan edge from node 3 to node 1 with capacity 10,\nan edge from node 3 to node 4 with capacity 2,\nan edge from node 4 to node 3 with capacity 3,\nWhat is the maximum flow from node 0 to node 4:"
            },
            {
                "from": "gpt",
                "value": "7."
            }
        ]
    },
    {
        "id": "flow-easy-graph204",
        "image": "data/flow/graph_visual/easy/graph204.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 1 to node 7 with capacity 3,\nan edge from node 2 to node 3 with capacity 7,\nan edge from node 2 to node 4 with capacity 10,\nan edge from node 3 to node 0 with capacity 5,\nan edge from node 3 to node 1 with capacity 4,\nan edge from node 3 to node 8 with capacity 6,\nan edge from node 4 to node 6 with capacity 10,\nan edge from node 5 to node 1 with capacity 6,\nan edge from node 5 to node 7 with capacity 3,\nan edge from node 7 to node 2 with capacity 7,\nan edge from node 8 to node 6 with capacity 5,\nWhat is the maximum flow from node 5 to node 6:"
            },
            {
                "from": "gpt",
                "value": "6."
            }
        ]
    },
    {
        "id": "flow-easy-graph244",
        "image": "data/flow/graph_visual/easy/graph244.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 0 to node 1 with capacity 8,\nan edge from node 1 to node 0 with capacity 7,\nan edge from node 2 to node 4 with capacity 4,\nan edge from node 4 to node 8 with capacity 9,\nan edge from node 4 to node 5 with capacity 6,\nan edge from node 4 to node 3 with capacity 5,\nan edge from node 4 to node 7 with capacity 1,\nan edge from node 6 to node 8 with capacity 3,\nan edge from node 6 to node 3 with capacity 7,\nan edge from node 7 to node 5 with capacity 10,\nan edge from node 8 to node 5 with capacity 4,\nan edge from node 8 to node 3 with capacity 1,\nan edge from node 8 to node 4 with capacity 6,\nWhat is the maximum flow from node 6 to node 5:"
            },
            {
                "from": "gpt",
                "value": "3."
            }
        ]
    },
    {
        "id": "flow-easy-graph253",
        "image": "data/flow/graph_visual/easy/graph253.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge from node 0 to node 9 with capacity 3,\nan edge from node 1 to node 7 with capacity 4,\nan edge from node 1 to node 8 with capacity 8,\nan edge from node 2 to node 1 with capacity 3,\nan edge from node 2 to node 8 with capacity 7,\nan edge from node 3 to node 7 with capacity 1,\nan edge from node 4 to node 0 with capacity 8,\nan edge from node 4 to node 1 with capacity 3,\nan edge from node 4 to node 7 with capacity 9,\nan edge from node 4 to node 2 with capacity 3,\nan edge from node 5 to node 0 with capacity 10,\nan edge from node 5 to node 7 with capacity 6,\nan edge from node 6 to node 5 with capacity 3,\nan edge from node 6 to node 1 with capacity 2,\nan edge from node 6 to node 7 with capacity 7,\nan edge from node 6 to node 2 with capacity 6,\nan edge from node 8 to node 7 with capacity 2,\nan edge from node 8 to node 4 with capacity 7,\nan edge from node 9 to node 0 with capacity 1,\nan edge from node 9 to node 8 with capacity 4,\nWhat is the maximum flow from node 8 to node 7:"
            },
            {
                "from": "gpt",
                "value": "9."
            }
        ]
    },
    {
        "id": "flow-easy-graph232",
        "image": "data/flow/graph_visual/easy/graph232.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 0 to node 6 with capacity 4,\nan edge from node 1 to node 3 with capacity 5,\nan edge from node 1 to node 0 with capacity 6,\nan edge from node 2 to node 3 with capacity 6,\nan edge from node 3 to node 6 with capacity 3,\nan edge from node 3 to node 2 with capacity 2,\nan edge from node 4 to node 3 with capacity 5,\nan edge from node 4 to node 7 with capacity 9,\nan edge from node 5 to node 4 with capacity 7,\nan edge from node 5 to node 1 with capacity 6,\nan edge from node 6 to node 4 with capacity 7,\nan edge from node 6 to node 7 with capacity 10,\nan edge from node 7 to node 8 with capacity 6,\nan edge from node 7 to node 2 with capacity 8,\nan edge from node 8 to node 5 with capacity 6,\nWhat is the maximum flow from node 5 to node 2:"
            },
            {
                "from": "gpt",
                "value": "10."
            }
        ]
    },
    {
        "id": "flow-easy-graph7",
        "image": "data/flow/graph_visual/easy/graph7.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge from node 0 to node 1 with capacity 5,\nan edge from node 1 to node 0 with capacity 5,\nan edge from node 2 to node 3 with capacity 4,\nan edge from node 2 to node 1 with capacity 1,\nan edge from node 3 to node 0 with capacity 7,\nan edge from node 3 to node 4 with capacity 8,\nan edge from node 4 to node 0 with capacity 1,\nWhat is the maximum flow from node 2 to node 1:"
            },
            {
                "from": "gpt",
                "value": "5."
            }
        ]
    },
    {
        "id": "flow-easy-graph176",
        "image": "data/flow/graph_visual/easy/graph176.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge from node 2 to node 1 with capacity 5,\nan edge from node 3 to node 2 with capacity 3,\nan edge from node 3 to node 1 with capacity 8,\nan edge from node 4 to node 5 with capacity 8,\nan edge from node 4 to node 7 with capacity 1,\nan edge from node 5 to node 4 with capacity 3,\nan edge from node 5 to node 6 with capacity 6,\nan edge from node 5 to node 1 with capacity 7,\nan edge from node 6 to node 5 with capacity 1,\nan edge from node 6 to node 2 with capacity 4,\nan edge from node 7 to node 6 with capacity 1,\nan edge from node 7 to node 0 with capacity 1,\nWhat is the maximum flow from node 4 to node 1:"
            },
            {
                "from": "gpt",
                "value": "9."
            }
        ]
    },
    {
        "id": "flow-easy-graph299",
        "image": "data/flow/graph_visual/easy/graph299.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge from node 0 to node 2 with capacity 1,\nan edge from node 0 to node 6 with capacity 6,\nan edge from node 0 to node 7 with capacity 7,\nan edge from node 1 to node 2 with capacity 4,\nan edge from node 1 to node 3 with capacity 5,\nan edge from node 1 to node 9 with capacity 3,\nan edge from node 2 to node 1 with capacity 4,\nan edge from node 3 to node 1 with capacity 7,\nan edge from node 4 to node 2 with capacity 5,\nan edge from node 4 to node 6 with capacity 2,\nan edge from node 5 to node 6 with capacity 9,\nan edge from node 5 to node 7 with capacity 5,\nan edge from node 7 to node 5 with capacity 4,\nan edge from node 8 to node 9 with capacity 4,\nan edge from node 9 to node 5 with capacity 6,\nan edge from node 9 to node 1 with capacity 2,\nWhat is the maximum flow from node 0 to node 6:"
            },
            {
                "from": "gpt",
                "value": "11."
            }
        ]
    },
    {
        "id": "flow-easy-graph70",
        "image": "data/flow/graph_visual/easy/graph70.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge from node 0 to node 1 with capacity 8,\nan edge from node 1 to node 2 with capacity 1,\nan edge from node 2 to node 5 with capacity 7,\nan edge from node 2 to node 3 with capacity 7,\nan edge from node 3 to node 5 with capacity 8,\nan edge from node 3 to node 1 with capacity 2,\nan edge from node 4 to node 5 with capacity 2,\nan edge from node 5 to node 0 with capacity 3,\nan edge from node 5 to node 3 with capacity 8,\nan edge from node 5 to node 1 with capacity 3,\nWhat is the maximum flow from node 2 to node 1:"
            },
            {
                "from": "gpt",
                "value": "8."
            }
        ]
    },
    {
        "id": "flow-easy-graph243",
        "image": "data/flow/graph_visual/easy/graph243.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 0 to node 4 with capacity 2,\nan edge from node 1 to node 8 with capacity 6,\nan edge from node 1 to node 0 with capacity 8,\nan edge from node 1 to node 2 with capacity 6,\nan edge from node 2 to node 6 with capacity 10,\nan edge from node 2 to node 5 with capacity 2,\nan edge from node 3 to node 7 with capacity 10,\nan edge from node 3 to node 0 with capacity 4,\nan edge from node 3 to node 4 with capacity 5,\nan edge from node 4 to node 7 with capacity 6,\nan edge from node 6 to node 5 with capacity 2,\nan edge from node 7 to node 6 with capacity 7,\nan edge from node 7 to node 2 with capacity 10,\nan edge from node 8 to node 7 with capacity 8,\nWhat is the maximum flow from node 4 to node 5:"
            },
            {
                "from": "gpt",
                "value": "4."
            }
        ]
    },
    {
        "id": "flow-easy-graph62",
        "image": "data/flow/graph_visual/easy/graph62.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge from node 0 to node 2 with capacity 5,\nan edge from node 0 to node 1 with capacity 2,\nan edge from node 0 to node 5 with capacity 7,\nan edge from node 1 to node 4 with capacity 8,\nan edge from node 1 to node 0 with capacity 6,\nan edge from node 2 to node 3 with capacity 3,\nan edge from node 2 to node 1 with capacity 4,\nan edge from node 2 to node 5 with capacity 7,\nan edge from node 2 to node 0 with capacity 1,\nan edge from node 3 to node 1 with capacity 6,\nan edge from node 3 to node 5 with capacity 7,\nan edge from node 3 to node 4 with capacity 9,\nan edge from node 4 to node 0 with capacity 4,\nan edge from node 5 to node 2 with capacity 10,\nan edge from node 5 to node 1 with capacity 1,\nWhat is the maximum flow from node 5 to node 0:"
            },
            {
                "from": "gpt",
                "value": "9."
            }
        ]
    },
    {
        "id": "flow-easy-graph245",
        "image": "data/flow/graph_visual/easy/graph245.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 0 to node 7 with capacity 1,\nan edge from node 0 to node 8 with capacity 1,\nan edge from node 0 to node 5 with capacity 9,\nan edge from node 1 to node 8 with capacity 1,\nan edge from node 2 to node 0 with capacity 8,\nan edge from node 3 to node 8 with capacity 7,\nan edge from node 3 to node 4 with capacity 5,\nan edge from node 5 to node 7 with capacity 5,\nan edge from node 6 to node 1 with capacity 9,\nan edge from node 6 to node 5 with capacity 2,\nan edge from node 7 to node 8 with capacity 4,\nan edge from node 8 to node 6 with capacity 10,\nan edge from node 8 to node 3 with capacity 7,\nWhat is the maximum flow from node 2 to node 4:"
            },
            {
                "from": "gpt",
                "value": "5."
            }
        ]
    },
    {
        "id": "flow-easy-graph55",
        "image": "data/flow/graph_visual/easy/graph55.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge from node 0 to node 3 with capacity 3,\nan edge from node 0 to node 1 with capacity 6,\nan edge from node 0 to node 2 with capacity 3,\nan edge from node 1 to node 5 with capacity 10,\nan edge from node 2 to node 5 with capacity 8,\nan edge from node 2 to node 1 with capacity 9,\nan edge from node 3 to node 4 with capacity 10,\nan edge from node 3 to node 5 with capacity 4,\nan edge from node 4 to node 2 with capacity 1,\nan edge from node 5 to node 0 with capacity 1,\nWhat is the maximum flow from node 5 to node 1:"
            },
            {
                "from": "gpt",
                "value": "1."
            }
        ]
    },
    {
        "id": "flow-easy-graph205",
        "image": "data/flow/graph_visual/easy/graph205.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 0 to node 8 with capacity 9,\nan edge from node 1 to node 7 with capacity 7,\nan edge from node 2 to node 6 with capacity 2,\nan edge from node 2 to node 0 with capacity 9,\nan edge from node 4 to node 3 with capacity 9,\nan edge from node 6 to node 8 with capacity 7,\nan edge from node 6 to node 0 with capacity 10,\nan edge from node 7 to node 1 with capacity 6,\nan edge from node 7 to node 2 with capacity 5,\nan edge from node 8 to node 5 with capacity 4,\nan edge from node 8 to node 3 with capacity 9,\nWhat is the maximum flow from node 2 to node 5:"
            },
            {
                "from": "gpt",
                "value": "4."
            }
        ]
    },
    {
        "id": "flow-easy-graph249",
        "image": "data/flow/graph_visual/easy/graph249.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 0 to node 6 with capacity 10,\nan edge from node 0 to node 5 with capacity 9,\nan edge from node 2 to node 4 with capacity 3,\nan edge from node 3 to node 1 with capacity 10,\nan edge from node 4 to node 7 with capacity 3,\nan edge from node 5 to node 1 with capacity 7,\nan edge from node 6 to node 3 with capacity 6,\nan edge from node 7 to node 8 with capacity 8,\nan edge from node 7 to node 2 with capacity 3,\nan edge from node 8 to node 1 with capacity 1,\nan edge from node 8 to node 4 with capacity 2,\nan edge from node 8 to node 2 with capacity 6,\nWhat is the maximum flow from node 7 to node 4:"
            },
            {
                "from": "gpt",
                "value": "5."
            }
        ]
    },
    {
        "id": "flow-easy-graph73",
        "image": "data/flow/graph_visual/easy/graph73.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge from node 0 to node 5 with capacity 4,\nan edge from node 1 to node 0 with capacity 4,\nan edge from node 1 to node 3 with capacity 6,\nan edge from node 2 to node 3 with capacity 5,\nan edge from node 3 to node 1 with capacity 6,\nan edge from node 3 to node 5 with capacity 2,\nan edge from node 3 to node 2 with capacity 5,\nan edge from node 4 to node 3 with capacity 8,\nan edge from node 5 to node 2 with capacity 1,\nWhat is the maximum flow from node 1 to node 2:"
            },
            {
                "from": "gpt",
                "value": "6."
            }
        ]
    },
    {
        "id": "flow-easy-graph57",
        "image": "data/flow/graph_visual/easy/graph57.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge from node 0 to node 5 with capacity 7,\nan edge from node 0 to node 1 with capacity 4,\nan edge from node 0 to node 4 with capacity 10,\nan edge from node 0 to node 2 with capacity 4,\nan edge from node 1 to node 5 with capacity 7,\nan edge from node 1 to node 2 with capacity 8,\nan edge from node 2 to node 3 with capacity 8,\nan edge from node 3 to node 5 with capacity 2,\nan edge from node 3 to node 1 with capacity 2,\nan edge from node 3 to node 4 with capacity 10,\nan edge from node 3 to node 2 with capacity 7,\nan edge from node 4 to node 0 with capacity 6,\nan edge from node 4 to node 5 with capacity 1,\nan edge from node 4 to node 1 with capacity 2,\nan edge from node 4 to node 2 with capacity 2,\nan edge from node 5 to node 4 with capacity 10,\nWhat is the maximum flow from node 3 to node 0:"
            },
            {
                "from": "gpt",
                "value": "6."
            }
        ]
    },
    {
        "id": "flow-easy-graph189",
        "image": "data/flow/graph_visual/easy/graph189.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge from node 0 to node 3 with capacity 3,\nan edge from node 0 to node 4 with capacity 5,\nan edge from node 1 to node 6 with capacity 4,\nan edge from node 1 to node 5 with capacity 6,\nan edge from node 1 to node 4 with capacity 6,\nan edge from node 2 to node 3 with capacity 6,\nan edge from node 2 to node 7 with capacity 8,\nan edge from node 3 to node 5 with capacity 4,\nan edge from node 3 to node 4 with capacity 10,\nan edge from node 3 to node 2 with capacity 4,\nan edge from node 4 to node 0 with capacity 2,\nan edge from node 4 to node 5 with capacity 3,\nan edge from node 4 to node 7 with capacity 4,\nan edge from node 5 to node 1 with capacity 6,\nan edge from node 6 to node 7 with capacity 3,\nan edge from node 7 to node 6 with capacity 6,\nan edge from node 7 to node 5 with capacity 6,\nWhat is the maximum flow from node 5 to node 7:"
            },
            {
                "from": "gpt",
                "value": "6."
            }
        ]
    },
    {
        "id": "flow-easy-graph63",
        "image": "data/flow/graph_visual/easy/graph63.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge from node 1 to node 5 with capacity 8,\nan edge from node 1 to node 4 with capacity 5,\nan edge from node 1 to node 0 with capacity 1,\nan edge from node 2 to node 0 with capacity 5,\nan edge from node 3 to node 1 with capacity 7,\nan edge from node 4 to node 0 with capacity 10,\nan edge from node 5 to node 2 with capacity 4,\nWhat is the maximum flow from node 1 to node 0:"
            },
            {
                "from": "gpt",
                "value": "10."
            }
        ]
    },
    {
        "id": "flow-easy-graph215",
        "image": "data/flow/graph_visual/easy/graph215.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 1 to node 3 with capacity 8,\nan edge from node 1 to node 5 with capacity 2,\nan edge from node 1 to node 6 with capacity 3,\nan edge from node 1 to node 2 with capacity 2,\nan edge from node 3 to node 0 with capacity 3,\nan edge from node 4 to node 8 with capacity 3,\nan edge from node 4 to node 0 with capacity 9,\nan edge from node 4 to node 6 with capacity 8,\nan edge from node 8 to node 1 with capacity 8,\nan edge from node 8 to node 3 with capacity 2,\nWhat is the maximum flow from node 4 to node 0:"
            },
            {
                "from": "gpt",
                "value": "12."
            }
        ]
    },
    {
        "id": "flow-easy-graph107",
        "image": "data/flow/graph_visual/easy/graph107.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge from node 0 to node 3 with capacity 8,\nan edge from node 0 to node 1 with capacity 9,\nan edge from node 1 to node 5 with capacity 5,\nan edge from node 1 to node 0 with capacity 8,\nan edge from node 2 to node 6 with capacity 7,\nan edge from node 2 to node 0 with capacity 2,\nan edge from node 3 to node 0 with capacity 2,\nan edge from node 3 to node 1 with capacity 8,\nan edge from node 4 to node 5 with capacity 8,\nan edge from node 4 to node 0 with capacity 7,\nan edge from node 4 to node 1 with capacity 8,\nan edge from node 5 to node 3 with capacity 2,\nan edge from node 5 to node 2 with capacity 9,\nan edge from node 6 to node 5 with capacity 10,\nan edge from node 6 to node 0 with capacity 7,\nWhat is the maximum flow from node 4 to node 0:"
            },
            {
                "from": "gpt",
                "value": "23."
            }
        ]
    },
    {
        "id": "flow-easy-graph20",
        "image": "data/flow/graph_visual/easy/graph20.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge from node 0 to node 4 with capacity 8,\nan edge from node 1 to node 3 with capacity 3,\nan edge from node 2 to node 4 with capacity 2,\nan edge from node 2 to node 3 with capacity 3,\nan edge from node 3 to node 1 with capacity 6,\nan edge from node 3 to node 0 with capacity 6,\nan edge from node 4 to node 1 with capacity 1,\nan edge from node 4 to node 3 with capacity 3,\nan edge from node 4 to node 0 with capacity 6,\nWhat is the maximum flow from node 2 to node 0:"
            },
            {
                "from": "gpt",
                "value": "5."
            }
        ]
    },
    {
        "id": "flow-easy-graph146",
        "image": "data/flow/graph_visual/easy/graph146.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge from node 1 to node 4 with capacity 9,\nan edge from node 1 to node 5 with capacity 8,\nan edge from node 2 to node 3 with capacity 4,\nan edge from node 2 to node 4 with capacity 10,\nan edge from node 2 to node 0 with capacity 10,\nan edge from node 3 to node 6 with capacity 8,\nan edge from node 3 to node 1 with capacity 1,\nan edge from node 5 to node 6 with capacity 5,\nan edge from node 5 to node 0 with capacity 7,\nan edge from node 5 to node 2 with capacity 7,\nan edge from node 6 to node 0 with capacity 5,\nan edge from node 6 to node 2 with capacity 5,\nan edge from node 6 to node 5 with capacity 1,\nWhat is the maximum flow from node 5 to node 0:"
            },
            {
                "from": "gpt",
                "value": "19."
            }
        ]
    },
    {
        "id": "flow-easy-graph89",
        "image": "data/flow/graph_visual/easy/graph89.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge from node 0 to node 1 with capacity 10,\nan edge from node 1 to node 2 with capacity 1,\nan edge from node 1 to node 0 with capacity 9,\nan edge from node 2 to node 3 with capacity 2,\nan edge from node 4 to node 2 with capacity 4,\nan edge from node 5 to node 2 with capacity 2,\nan edge from node 5 to node 4 with capacity 8,\nan edge from node 5 to node 3 with capacity 4,\nWhat is the maximum flow from node 5 to node 3:"
            },
            {
                "from": "gpt",
                "value": "6."
            }
        ]
    },
    {
        "id": "flow-easy-graph17",
        "image": "data/flow/graph_visual/easy/graph17.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge from node 0 to node 1 with capacity 6,\nan edge from node 0 to node 3 with capacity 3,\nan edge from node 1 to node 3 with capacity 1,\nan edge from node 2 to node 0 with capacity 5,\nan edge from node 2 to node 3 with capacity 5,\nan edge from node 4 to node 3 with capacity 5,\nan edge from node 4 to node 2 with capacity 4,\nWhat is the maximum flow from node 4 to node 3:"
            },
            {
                "from": "gpt",
                "value": "9."
            }
        ]
    },
    {
        "id": "flow-easy-graph46",
        "image": "data/flow/graph_visual/easy/graph46.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge from node 0 to node 4 with capacity 2,\nan edge from node 2 to node 0 with capacity 6,\nan edge from node 2 to node 1 with capacity 10,\nan edge from node 3 to node 4 with capacity 2,\nan edge from node 3 to node 2 with capacity 4,\nan edge from node 4 to node 0 with capacity 3,\nan edge from node 4 to node 1 with capacity 2,\nWhat is the maximum flow from node 3 to node 1:"
            },
            {
                "from": "gpt",
                "value": "6."
            }
        ]
    },
    {
        "id": "flow-easy-graph163",
        "image": "data/flow/graph_visual/easy/graph163.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge from node 1 to node 6 with capacity 4,\nan edge from node 1 to node 5 with capacity 5,\nan edge from node 2 to node 3 with capacity 6,\nan edge from node 3 to node 1 with capacity 9,\nan edge from node 3 to node 7 with capacity 5,\nan edge from node 4 to node 0 with capacity 10,\nan edge from node 4 to node 6 with capacity 7,\nan edge from node 4 to node 5 with capacity 7,\nan edge from node 5 to node 0 with capacity 1,\nan edge from node 5 to node 7 with capacity 3,\nan edge from node 6 to node 1 with capacity 5,\nan edge from node 6 to node 2 with capacity 2,\nWhat is the maximum flow from node 6 to node 7:"
            },
            {
                "from": "gpt",
                "value": "5."
            }
        ]
    },
    {
        "id": "flow-easy-graph56",
        "image": "data/flow/graph_visual/easy/graph56.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge from node 0 to node 5 with capacity 7,\nan edge from node 0 to node 1 with capacity 3,\nan edge from node 1 to node 5 with capacity 5,\nan edge from node 1 to node 2 with capacity 10,\nan edge from node 1 to node 4 with capacity 1,\nan edge from node 1 to node 3 with capacity 5,\nan edge from node 2 to node 0 with capacity 1,\nan edge from node 3 to node 1 with capacity 5,\nan edge from node 4 to node 1 with capacity 6,\nan edge from node 5 to node 2 with capacity 3,\nan edge from node 5 to node 4 with capacity 6,\nWhat is the maximum flow from node 2 to node 4:"
            },
            {
                "from": "gpt",
                "value": "1."
            }
        ]
    },
    {
        "id": "flow-easy-graph221",
        "image": "data/flow/graph_visual/easy/graph221.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 0 to node 7 with capacity 4,\nan edge from node 0 to node 4 with capacity 6,\nan edge from node 0 to node 5 with capacity 4,\nan edge from node 0 to node 2 with capacity 5,\nan edge from node 3 to node 7 with capacity 8,\nan edge from node 3 to node 5 with capacity 9,\nan edge from node 4 to node 0 with capacity 4,\nan edge from node 4 to node 3 with capacity 10,\nan edge from node 4 to node 8 with capacity 4,\nan edge from node 4 to node 1 with capacity 7,\nan edge from node 6 to node 7 with capacity 4,\nan edge from node 6 to node 3 with capacity 7,\nan edge from node 6 to node 8 with capacity 6,\nan edge from node 6 to node 1 with capacity 7,\nan edge from node 7 to node 0 with capacity 3,\nan edge from node 8 to node 2 with capacity 2,\nWhat is the maximum flow from node 6 to node 2:"
            },
            {
                "from": "gpt",
                "value": "5."
            }
        ]
    },
    {
        "id": "flow-easy-graph284",
        "image": "data/flow/graph_visual/easy/graph284.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge from node 0 to node 9 with capacity 4,\nan edge from node 0 to node 1 with capacity 7,\nan edge from node 2 to node 8 with capacity 9,\nan edge from node 2 to node 0 with capacity 2,\nan edge from node 3 to node 5 with capacity 4,\nan edge from node 4 to node 5 with capacity 2,\nan edge from node 4 to node 0 with capacity 9,\nan edge from node 5 to node 4 with capacity 3,\nan edge from node 5 to node 1 with capacity 9,\nan edge from node 5 to node 0 with capacity 4,\nan edge from node 7 to node 4 with capacity 5,\nan edge from node 7 to node 9 with capacity 6,\nan edge from node 8 to node 4 with capacity 2,\nan edge from node 8 to node 9 with capacity 9,\nan edge from node 8 to node 1 with capacity 6,\nan edge from node 8 to node 2 with capacity 9,\nWhat is the maximum flow from node 8 to node 9:"
            },
            {
                "from": "gpt",
                "value": "13."
            }
        ]
    },
    {
        "id": "flow-easy-graph77",
        "image": "data/flow/graph_visual/easy/graph77.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge from node 0 to node 3 with capacity 1,\nan edge from node 0 to node 5 with capacity 4,\nan edge from node 1 to node 3 with capacity 8,\nan edge from node 1 to node 0 with capacity 9,\nan edge from node 1 to node 4 with capacity 3,\nan edge from node 2 to node 0 with capacity 10,\nan edge from node 3 to node 2 with capacity 8,\nan edge from node 4 to node 3 with capacity 8,\nan edge from node 4 to node 1 with capacity 5,\nan edge from node 5 to node 0 with capacity 10,\nan edge from node 5 to node 1 with capacity 1,\nWhat is the maximum flow from node 4 to node 3:"
            },
            {
                "from": "gpt",
                "value": "13."
            }
        ]
    },
    {
        "id": "flow-easy-graph101",
        "image": "data/flow/graph_visual/easy/graph101.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge from node 0 to node 3 with capacity 4,\nan edge from node 1 to node 4 with capacity 6,\nan edge from node 2 to node 1 with capacity 10,\nan edge from node 3 to node 5 with capacity 6,\nan edge from node 3 to node 4 with capacity 3,\nan edge from node 4 to node 3 with capacity 4,\nan edge from node 4 to node 2 with capacity 9,\nan edge from node 5 to node 1 with capacity 8,\nan edge from node 6 to node 5 with capacity 3,\nan edge from node 6 to node 1 with capacity 3,\nan edge from node 6 to node 2 with capacity 1,\nan edge from node 6 to node 4 with capacity 10,\nWhat is the maximum flow from node 6 to node 4:"
            },
            {
                "from": "gpt",
                "value": "16."
            }
        ]
    },
    {
        "id": "flow-easy-graph93",
        "image": "data/flow/graph_visual/easy/graph93.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge from node 0 to node 1 with capacity 8,\nan edge from node 1 to node 3 with capacity 3,\nan edge from node 1 to node 5 with capacity 2,\nan edge from node 2 to node 0 with capacity 5,\nan edge from node 2 to node 5 with capacity 9,\nan edge from node 3 to node 2 with capacity 9,\nan edge from node 3 to node 1 with capacity 3,\nan edge from node 3 to node 0 with capacity 6,\nan edge from node 3 to node 5 with capacity 3,\nan edge from node 4 to node 0 with capacity 8,\nan edge from node 5 to node 0 with capacity 3,\nWhat is the maximum flow from node 2 to node 5:"
            },
            {
                "from": "gpt",
                "value": "14."
            }
        ]
    },
    {
        "id": "flow-easy-graph194",
        "image": "data/flow/graph_visual/easy/graph194.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge from node 0 to node 7 with capacity 6,\nan edge from node 0 to node 6 with capacity 6,\nan edge from node 1 to node 5 with capacity 9,\nan edge from node 1 to node 6 with capacity 2,\nan edge from node 2 to node 1 with capacity 1,\nan edge from node 2 to node 7 with capacity 9,\nan edge from node 2 to node 6 with capacity 7,\nan edge from node 3 to node 5 with capacity 7,\nan edge from node 3 to node 4 with capacity 8,\nan edge from node 4 to node 2 with capacity 1,\nan edge from node 4 to node 0 with capacity 9,\nan edge from node 5 to node 1 with capacity 5,\nan edge from node 5 to node 3 with capacity 9,\nan edge from node 5 to node 6 with capacity 10,\nan edge from node 6 to node 1 with capacity 2,\nan edge from node 6 to node 7 with capacity 6,\nan edge from node 6 to node 0 with capacity 7,\nan edge from node 7 to node 5 with capacity 5,\nan edge from node 7 to node 4 with capacity 3,\nan edge from node 7 to node 3 with capacity 3,\nWhat is the maximum flow from node 0 to node 5:"
            },
            {
                "from": "gpt",
                "value": "11."
            }
        ]
    },
    {
        "id": "flow-easy-graph119",
        "image": "data/flow/graph_visual/easy/graph119.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge from node 0 to node 1 with capacity 9,\nan edge from node 0 to node 2 with capacity 9,\nan edge from node 0 to node 3 with capacity 4,\nan edge from node 1 to node 5 with capacity 6,\nan edge from node 2 to node 6 with capacity 7,\nan edge from node 2 to node 0 with capacity 8,\nan edge from node 3 to node 5 with capacity 10,\nan edge from node 4 to node 2 with capacity 2,\nan edge from node 5 to node 3 with capacity 2,\nan edge from node 6 to node 5 with capacity 2,\nan edge from node 6 to node 3 with capacity 5,\nWhat is the maximum flow from node 2 to node 5:"
            },
            {
                "from": "gpt",
                "value": "15."
            }
        ]
    },
    {
        "id": "flow-easy-graph87",
        "image": "data/flow/graph_visual/easy/graph87.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge from node 0 to node 2 with capacity 2,\nan edge from node 1 to node 0 with capacity 9,\nan edge from node 1 to node 5 with capacity 9,\nan edge from node 1 to node 2 with capacity 2,\nan edge from node 2 to node 0 with capacity 4,\nan edge from node 2 to node 5 with capacity 2,\nan edge from node 3 to node 5 with capacity 4,\nan edge from node 3 to node 2 with capacity 10,\nan edge from node 5 to node 0 with capacity 6,\nWhat is the maximum flow from node 1 to node 0:"
            },
            {
                "from": "gpt",
                "value": "17."
            }
        ]
    },
    {
        "id": "flow-easy-graph6",
        "image": "data/flow/graph_visual/easy/graph6.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge from node 0 to node 4 with capacity 9,\nan edge from node 0 to node 1 with capacity 4,\nan edge from node 0 to node 3 with capacity 4,\nan edge from node 1 to node 0 with capacity 9,\nan edge from node 1 to node 2 with capacity 3,\nan edge from node 2 to node 0 with capacity 3,\nan edge from node 2 to node 4 with capacity 10,\nan edge from node 2 to node 3 with capacity 1,\nan edge from node 3 to node 1 with capacity 4,\nan edge from node 4 to node 2 with capacity 3,\nan edge from node 4 to node 3 with capacity 1,\nWhat is the maximum flow from node 0 to node 3:"
            },
            {
                "from": "gpt",
                "value": "6."
            }
        ]
    },
    {
        "id": "flow-easy-graph226",
        "image": "data/flow/graph_visual/easy/graph226.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 0 to node 4 with capacity 8,\nan edge from node 1 to node 0 with capacity 3,\nan edge from node 2 to node 1 with capacity 9,\nan edge from node 2 to node 8 with capacity 5,\nan edge from node 2 to node 6 with capacity 6,\nan edge from node 3 to node 0 with capacity 7,\nan edge from node 3 to node 8 with capacity 2,\nan edge from node 3 to node 4 with capacity 3,\nan edge from node 3 to node 5 with capacity 5,\nan edge from node 4 to node 7 with capacity 8,\nan edge from node 7 to node 3 with capacity 4,\nan edge from node 8 to node 0 with capacity 8,\nWhat is the maximum flow from node 7 to node 4:"
            },
            {
                "from": "gpt",
                "value": "4."
            }
        ]
    },
    {
        "id": "flow-easy-graph138",
        "image": "data/flow/graph_visual/easy/graph138.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge from node 0 to node 6 with capacity 8,\nan edge from node 0 to node 1 with capacity 8,\nan edge from node 0 to node 5 with capacity 2,\nan edge from node 1 to node 2 with capacity 8,\nan edge from node 2 to node 4 with capacity 6,\nan edge from node 2 to node 1 with capacity 7,\nan edge from node 2 to node 3 with capacity 8,\nan edge from node 4 to node 6 with capacity 3,\nan edge from node 5 to node 0 with capacity 1,\nan edge from node 5 to node 1 with capacity 1,\nan edge from node 5 to node 2 with capacity 2,\nan edge from node 5 to node 3 with capacity 2,\nan edge from node 6 to node 2 with capacity 6,\nWhat is the maximum flow from node 0 to node 1:"
            },
            {
                "from": "gpt",
                "value": "16."
            }
        ]
    },
    {
        "id": "flow-easy-graph59",
        "image": "data/flow/graph_visual/easy/graph59.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge from node 0 to node 5 with capacity 9,\nan edge from node 1 to node 2 with capacity 9,\nan edge from node 2 to node 1 with capacity 6,\nan edge from node 2 to node 4 with capacity 6,\nan edge from node 2 to node 5 with capacity 8,\nan edge from node 4 to node 3 with capacity 7,\nan edge from node 4 to node 5 with capacity 3,\nan edge from node 4 to node 2 with capacity 6,\nan edge from node 5 to node 1 with capacity 4,\nan edge from node 5 to node 4 with capacity 1,\nan edge from node 5 to node 2 with capacity 4,\nWhat is the maximum flow from node 5 to node 3:"
            },
            {
                "from": "gpt",
                "value": "7."
            }
        ]
    },
    {
        "id": "flow-easy-graph54",
        "image": "data/flow/graph_visual/easy/graph54.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge from node 2 to node 5 with capacity 9,\nan edge from node 2 to node 0 with capacity 6,\nan edge from node 2 to node 3 with capacity 5,\nan edge from node 3 to node 1 with capacity 8,\nan edge from node 3 to node 0 with capacity 5,\nan edge from node 4 to node 5 with capacity 4,\nan edge from node 4 to node 0 with capacity 3,\nan edge from node 4 to node 3 with capacity 9,\nan edge from node 5 to node 2 with capacity 9,\nan edge from node 5 to node 3 with capacity 2,\nWhat is the maximum flow from node 5 to node 0:"
            },
            {
                "from": "gpt",
                "value": "11."
            }
        ]
    },
    {
        "id": "flow-easy-graph130",
        "image": "data/flow/graph_visual/easy/graph130.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge from node 0 to node 5 with capacity 3,\nan edge from node 1 to node 5 with capacity 8,\nan edge from node 2 to node 3 with capacity 3,\nan edge from node 2 to node 5 with capacity 4,\nan edge from node 3 to node 1 with capacity 6,\nan edge from node 4 to node 3 with capacity 5,\nan edge from node 4 to node 6 with capacity 7,\nan edge from node 4 to node 0 with capacity 2,\nan edge from node 5 to node 4 with capacity 3,\nan edge from node 6 to node 5 with capacity 5,\nan edge from node 6 to node 2 with capacity 1,\nWhat is the maximum flow from node 4 to node 5:"
            },
            {
                "from": "gpt",
                "value": "13."
            }
        ]
    },
    {
        "id": "flow-easy-graph82",
        "image": "data/flow/graph_visual/easy/graph82.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge from node 0 to node 4 with capacity 8,\nan edge from node 2 to node 0 with capacity 2,\nan edge from node 2 to node 4 with capacity 6,\nan edge from node 3 to node 1 with capacity 7,\nan edge from node 4 to node 3 with capacity 10,\nan edge from node 4 to node 1 with capacity 2,\nan edge from node 4 to node 5 with capacity 2,\nan edge from node 5 to node 4 with capacity 7,\nWhat is the maximum flow from node 2 to node 1:"
            },
            {
                "from": "gpt",
                "value": "8."
            }
        ]
    },
    {
        "id": "flow-easy-graph298",
        "image": "data/flow/graph_visual/easy/graph298.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge from node 0 to node 4 with capacity 4,\nan edge from node 0 to node 7 with capacity 7,\nan edge from node 0 to node 1 with capacity 1,\nan edge from node 0 to node 2 with capacity 5,\nan edge from node 0 to node 9 with capacity 10,\nan edge from node 1 to node 8 with capacity 6,\nan edge from node 1 to node 7 with capacity 4,\nan edge from node 2 to node 8 with capacity 7,\nan edge from node 2 to node 0 with capacity 4,\nan edge from node 3 to node 8 with capacity 10,\nan edge from node 3 to node 2 with capacity 6,\nan edge from node 4 to node 7 with capacity 1,\nan edge from node 4 to node 2 with capacity 8,\nan edge from node 6 to node 4 with capacity 1,\nan edge from node 6 to node 8 with capacity 8,\nan edge from node 7 to node 3 with capacity 9,\nan edge from node 7 to node 0 with capacity 7,\nan edge from node 7 to node 5 with capacity 10,\nan edge from node 8 to node 4 with capacity 1,\nan edge from node 8 to node 3 with capacity 9,\nan edge from node 8 to node 1 with capacity 8,\nan edge from node 8 to node 9 with capacity 8,\nan edge from node 9 to node 8 with capacity 4,\nWhat is the maximum flow from node 2 to node 1:"
            },
            {
                "from": "gpt",
                "value": "9."
            }
        ]
    },
    {
        "id": "flow-easy-graph102",
        "image": "data/flow/graph_visual/easy/graph102.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge from node 0 to node 4 with capacity 3,\nan edge from node 1 to node 6 with capacity 1,\nan edge from node 3 to node 0 with capacity 7,\nan edge from node 3 to node 6 with capacity 6,\nan edge from node 3 to node 1 with capacity 1,\nan edge from node 4 to node 3 with capacity 7,\nan edge from node 5 to node 3 with capacity 2,\nan edge from node 5 to node 6 with capacity 2,\nan edge from node 5 to node 1 with capacity 5,\nan edge from node 6 to node 5 with capacity 3,\nWhat is the maximum flow from node 5 to node 6:"
            },
            {
                "from": "gpt",
                "value": "5."
            }
        ]
    },
    {
        "id": "flow-easy-graph35",
        "image": "data/flow/graph_visual/easy/graph35.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge from node 0 to node 4 with capacity 5,\nan edge from node 0 to node 3 with capacity 8,\nan edge from node 1 to node 4 with capacity 9,\nan edge from node 2 to node 4 with capacity 7,\nan edge from node 2 to node 3 with capacity 3,\nan edge from node 3 to node 4 with capacity 1,\nan edge from node 3 to node 1 with capacity 4,\nan edge from node 4 to node 0 with capacity 5,\nWhat is the maximum flow from node 0 to node 4:"
            },
            {
                "from": "gpt",
                "value": "10."
            }
        ]
    },
    {
        "id": "flow-easy-graph230",
        "image": "data/flow/graph_visual/easy/graph230.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 0 to node 8 with capacity 2,\nan edge from node 1 to node 5 with capacity 5,\nan edge from node 2 to node 5 with capacity 5,\nan edge from node 3 to node 2 with capacity 3,\nan edge from node 3 to node 0 with capacity 6,\nan edge from node 4 to node 2 with capacity 6,\nan edge from node 5 to node 4 with capacity 8,\nan edge from node 5 to node 6 with capacity 3,\nan edge from node 6 to node 7 with capacity 2,\nan edge from node 6 to node 0 with capacity 10,\nan edge from node 7 to node 2 with capacity 9,\nan edge from node 7 to node 3 with capacity 1,\nan edge from node 8 to node 0 with capacity 9,\nWhat is the maximum flow from node 1 to node 2:"
            },
            {
                "from": "gpt",
                "value": "5."
            }
        ]
    },
    {
        "id": "flow-easy-graph136",
        "image": "data/flow/graph_visual/easy/graph136.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge from node 0 to node 4 with capacity 7,\nan edge from node 0 to node 6 with capacity 2,\nan edge from node 1 to node 4 with capacity 1,\nan edge from node 1 to node 0 with capacity 6,\nan edge from node 1 to node 6 with capacity 6,\nan edge from node 2 to node 0 with capacity 9,\nan edge from node 3 to node 4 with capacity 3,\nan edge from node 3 to node 2 with capacity 7,\nan edge from node 4 to node 5 with capacity 6,\nan edge from node 5 to node 1 with capacity 10,\nan edge from node 5 to node 2 with capacity 4,\nan edge from node 5 to node 6 with capacity 4,\nan edge from node 6 to node 5 with capacity 9,\nan edge from node 6 to node 1 with capacity 2,\nWhat is the maximum flow from node 6 to node 4:"
            },
            {
                "from": "gpt",
                "value": "8."
            }
        ]
    },
    {
        "id": "flow-easy-graph180",
        "image": "data/flow/graph_visual/easy/graph180.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge from node 0 to node 6 with capacity 9,\nan edge from node 0 to node 2 with capacity 9,\nan edge from node 1 to node 5 with capacity 6,\nan edge from node 1 to node 3 with capacity 6,\nan edge from node 2 to node 7 with capacity 6,\nan edge from node 3 to node 6 with capacity 9,\nan edge from node 3 to node 2 with capacity 8,\nan edge from node 3 to node 0 with capacity 10,\nan edge from node 6 to node 7 with capacity 10,\nWhat is the maximum flow from node 1 to node 7:"
            },
            {
                "from": "gpt",
                "value": "6."
            }
        ]
    },
    {
        "id": "flow-easy-graph276",
        "image": "data/flow/graph_visual/easy/graph276.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge from node 0 to node 9 with capacity 4,\nan edge from node 0 to node 2 with capacity 6,\nan edge from node 0 to node 5 with capacity 7,\nan edge from node 1 to node 7 with capacity 1,\nan edge from node 1 to node 2 with capacity 1,\nan edge from node 2 to node 3 with capacity 9,\nan edge from node 2 to node 4 with capacity 7,\nan edge from node 3 to node 8 with capacity 4,\nan edge from node 3 to node 6 with capacity 6,\nan edge from node 4 to node 1 with capacity 2,\nan edge from node 4 to node 7 with capacity 9,\nan edge from node 5 to node 3 with capacity 3,\nan edge from node 5 to node 4 with capacity 8,\nan edge from node 6 to node 1 with capacity 5,\nan edge from node 7 to node 5 with capacity 10,\nan edge from node 7 to node 6 with capacity 3,\nan edge from node 8 to node 9 with capacity 3,\nan edge from node 9 to node 3 with capacity 1,\nan edge from node 9 to node 7 with capacity 7,\nan edge from node 9 to node 0 with capacity 8,\nan edge from node 9 to node 5 with capacity 7,\nWhat is the maximum flow from node 5 to node 2:"
            },
            {
                "from": "gpt",
                "value": "4."
            }
        ]
    },
    {
        "id": "flow-easy-graph33",
        "image": "data/flow/graph_visual/easy/graph33.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge from node 0 to node 1 with capacity 7,\nan edge from node 2 to node 4 with capacity 2,\nan edge from node 2 to node 1 with capacity 3,\nan edge from node 3 to node 0 with capacity 8,\nan edge from node 4 to node 0 with capacity 10,\nan edge from node 4 to node 1 with capacity 4,\nWhat is the maximum flow from node 2 to node 1:"
            },
            {
                "from": "gpt",
                "value": "5."
            }
        ]
    },
    {
        "id": "flow-easy-graph195",
        "image": "data/flow/graph_visual/easy/graph195.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge from node 0 to node 7 with capacity 8,\nan edge from node 0 to node 4 with capacity 2,\nan edge from node 0 to node 6 with capacity 10,\nan edge from node 1 to node 0 with capacity 9,\nan edge from node 2 to node 1 with capacity 4,\nan edge from node 2 to node 7 with capacity 1,\nan edge from node 2 to node 0 with capacity 5,\nan edge from node 3 to node 5 with capacity 4,\nan edge from node 4 to node 1 with capacity 9,\nan edge from node 4 to node 7 with capacity 5,\nan edge from node 5 to node 0 with capacity 2,\nan edge from node 6 to node 2 with capacity 1,\nWhat is the maximum flow from node 4 to node 7:"
            },
            {
                "from": "gpt",
                "value": "14."
            }
        ]
    },
    {
        "id": "flow-easy-graph58",
        "image": "data/flow/graph_visual/easy/graph58.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge from node 1 to node 0 with capacity 6,\nan edge from node 1 to node 5 with capacity 5,\nan edge from node 2 to node 1 with capacity 8,\nan edge from node 2 to node 4 with capacity 8,\nan edge from node 3 to node 1 with capacity 2,\nan edge from node 3 to node 2 with capacity 9,\nan edge from node 3 to node 4 with capacity 4,\nan edge from node 4 to node 5 with capacity 4,\nan edge from node 5 to node 2 with capacity 6,\nWhat is the maximum flow from node 3 to node 0:"
            },
            {
                "from": "gpt",
                "value": "6."
            }
        ]
    },
    {
        "id": "flow-easy-graph241",
        "image": "data/flow/graph_visual/easy/graph241.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 0 to node 3 with capacity 5,\nan edge from node 0 to node 6 with capacity 3,\nan edge from node 0 to node 5 with capacity 9,\nan edge from node 3 to node 7 with capacity 6,\nan edge from node 3 to node 1 with capacity 9,\nan edge from node 3 to node 5 with capacity 5,\nan edge from node 4 to node 2 with capacity 10,\nan edge from node 4 to node 5 with capacity 5,\nan edge from node 5 to node 0 with capacity 4,\nan edge from node 6 to node 3 with capacity 4,\nan edge from node 6 to node 4 with capacity 3,\nan edge from node 8 to node 0 with capacity 6,\nan edge from node 8 to node 6 with capacity 7,\nWhat is the maximum flow from node 8 to node 3:"
            },
            {
                "from": "gpt",
                "value": "9."
            }
        ]
    },
    {
        "id": "flow-easy-graph264",
        "image": "data/flow/graph_visual/easy/graph264.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge from node 0 to node 8 with capacity 3,\nan edge from node 1 to node 9 with capacity 10,\nan edge from node 1 to node 7 with capacity 5,\nan edge from node 2 to node 1 with capacity 6,\nan edge from node 2 to node 6 with capacity 7,\nan edge from node 3 to node 1 with capacity 5,\nan edge from node 4 to node 2 with capacity 8,\nan edge from node 4 to node 7 with capacity 7,\nan edge from node 6 to node 7 with capacity 4,\nan edge from node 7 to node 0 with capacity 6,\nan edge from node 7 to node 3 with capacity 1,\nan edge from node 7 to node 6 with capacity 10,\nan edge from node 8 to node 2 with capacity 5,\nan edge from node 8 to node 3 with capacity 6,\nan edge from node 8 to node 7 with capacity 2,\nan edge from node 9 to node 8 with capacity 7,\nWhat is the maximum flow from node 1 to node 7:"
            },
            {
                "from": "gpt",
                "value": "11."
            }
        ]
    },
    {
        "id": "flow-easy-graph85",
        "image": "data/flow/graph_visual/easy/graph85.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge from node 0 to node 3 with capacity 10,\nan edge from node 0 to node 2 with capacity 8,\nan edge from node 0 to node 4 with capacity 7,\nan edge from node 1 to node 0 with capacity 10,\nan edge from node 2 to node 3 with capacity 3,\nan edge from node 3 to node 2 with capacity 4,\nan edge from node 3 to node 0 with capacity 1,\nan edge from node 3 to node 5 with capacity 6,\nan edge from node 4 to node 2 with capacity 2,\nan edge from node 5 to node 2 with capacity 7,\nan edge from node 5 to node 4 with capacity 5,\nWhat is the maximum flow from node 3 to node 2:"
            },
            {
                "from": "gpt",
                "value": "11."
            }
        ]
    },
    {
        "id": "flow-easy-graph211",
        "image": "data/flow/graph_visual/easy/graph211.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 1 to node 4 with capacity 4,\nan edge from node 2 to node 8 with capacity 3,\nan edge from node 3 to node 2 with capacity 3,\nan edge from node 3 to node 6 with capacity 10,\nan edge from node 3 to node 1 with capacity 6,\nan edge from node 4 to node 8 with capacity 2,\nan edge from node 5 to node 7 with capacity 4,\nan edge from node 5 to node 8 with capacity 2,\nan edge from node 6 to node 2 with capacity 10,\nan edge from node 7 to node 2 with capacity 9,\nan edge from node 8 to node 4 with capacity 1,\nan edge from node 8 to node 3 with capacity 1,\nan edge from node 8 to node 5 with capacity 3,\nWhat is the maximum flow from node 4 to node 2:"
            },
            {
                "from": "gpt",
                "value": "2."
            }
        ]
    },
    {
        "id": "flow-easy-graph278",
        "image": "data/flow/graph_visual/easy/graph278.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge from node 0 to node 1 with capacity 7,\nan edge from node 0 to node 3 with capacity 1,\nan edge from node 0 to node 9 with capacity 5,\nan edge from node 0 to node 4 with capacity 5,\nan edge from node 0 to node 6 with capacity 6,\nan edge from node 1 to node 3 with capacity 10,\nan edge from node 3 to node 5 with capacity 10,\nan edge from node 3 to node 4 with capacity 6,\nan edge from node 3 to node 8 with capacity 10,\nan edge from node 3 to node 7 with capacity 4,\nan edge from node 3 to node 2 with capacity 3,\nan edge from node 4 to node 8 with capacity 4,\nan edge from node 5 to node 1 with capacity 3,\nan edge from node 6 to node 8 with capacity 3,\nan edge from node 6 to node 0 with capacity 1,\nan edge from node 6 to node 2 with capacity 2,\nan edge from node 7 to node 1 with capacity 8,\nan edge from node 7 to node 3 with capacity 6,\nan edge from node 7 to node 8 with capacity 10,\nan edge from node 7 to node 0 with capacity 2,\nan edge from node 8 to node 5 with capacity 3,\nan edge from node 9 to node 4 with capacity 4,\nan edge from node 9 to node 6 with capacity 6,\nan edge from node 9 to node 8 with capacity 9,\nan edge from node 9 to node 0 with capacity 4,\nan edge from node 9 to node 7 with capacity 10,\nWhat is the maximum flow from node 9 to node 8:"
            },
            {
                "from": "gpt",
                "value": "31."
            }
        ]
    },
    {
        "id": "flow-easy-graph294",
        "image": "data/flow/graph_visual/easy/graph294.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge from node 0 to node 3 with capacity 8,\nan edge from node 0 to node 8 with capacity 3,\nan edge from node 1 to node 0 with capacity 7,\nan edge from node 1 to node 5 with capacity 2,\nan edge from node 2 to node 7 with capacity 5,\nan edge from node 2 to node 8 with capacity 4,\nan edge from node 2 to node 1 with capacity 9,\nan edge from node 3 to node 6 with capacity 2,\nan edge from node 3 to node 4 with capacity 10,\nan edge from node 3 to node 9 with capacity 6,\nan edge from node 6 to node 7 with capacity 8,\nan edge from node 7 to node 6 with capacity 2,\nan edge from node 7 to node 0 with capacity 2,\nan edge from node 8 to node 6 with capacity 10,\nan edge from node 8 to node 0 with capacity 10,\nan edge from node 8 to node 3 with capacity 9,\nan edge from node 8 to node 9 with capacity 6,\nan edge from node 9 to node 5 with capacity 6,\nan edge from node 9 to node 8 with capacity 2,\nan edge from node 9 to node 2 with capacity 1,\nWhat is the maximum flow from node 3 to node 0:"
            },
            {
                "from": "gpt",
                "value": "5."
            }
        ]
    },
    {
        "id": "flow-easy-graph183",
        "image": "data/flow/graph_visual/easy/graph183.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge from node 0 to node 3 with capacity 3,\nan edge from node 0 to node 2 with capacity 7,\nan edge from node 0 to node 1 with capacity 9,\nan edge from node 1 to node 3 with capacity 9,\nan edge from node 1 to node 2 with capacity 7,\nan edge from node 3 to node 5 with capacity 5,\nan edge from node 4 to node 6 with capacity 6,\nan edge from node 4 to node 7 with capacity 1,\nan edge from node 4 to node 2 with capacity 9,\nan edge from node 5 to node 6 with capacity 7,\nan edge from node 5 to node 1 with capacity 8,\nan edge from node 6 to node 4 with capacity 3,\nan edge from node 7 to node 4 with capacity 2,\nan edge from node 7 to node 0 with capacity 3,\nan edge from node 7 to node 1 with capacity 9,\nWhat is the maximum flow from node 4 to node 2:"
            },
            {
                "from": "gpt",
                "value": "10."
            }
        ]
    },
    {
        "id": "flow-easy-graph125",
        "image": "data/flow/graph_visual/easy/graph125.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge from node 0 to node 4 with capacity 6,\nan edge from node 1 to node 6 with capacity 6,\nan edge from node 1 to node 3 with capacity 7,\nan edge from node 1 to node 0 with capacity 9,\nan edge from node 2 to node 6 with capacity 4,\nan edge from node 3 to node 5 with capacity 2,\nan edge from node 3 to node 1 with capacity 7,\nan edge from node 3 to node 4 with capacity 4,\nan edge from node 3 to node 2 with capacity 7,\nan edge from node 5 to node 1 with capacity 1,\nan edge from node 5 to node 3 with capacity 5,\nan edge from node 6 to node 4 with capacity 3,\nan edge from node 6 to node 0 with capacity 8,\nWhat is the maximum flow from node 5 to node 4:"
            },
            {
                "from": "gpt",
                "value": "6."
            }
        ]
    },
    {
        "id": "flow-easy-graph31",
        "image": "data/flow/graph_visual/easy/graph31.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge from node 0 to node 4 with capacity 1,\nan edge from node 0 to node 2 with capacity 6,\nan edge from node 2 to node 3 with capacity 4,\nan edge from node 2 to node 1 with capacity 7,\nan edge from node 2 to node 4 with capacity 2,\nan edge from node 4 to node 3 with capacity 5,\nWhat is the maximum flow from node 0 to node 3:"
            },
            {
                "from": "gpt",
                "value": "7."
            }
        ]
    },
    {
        "id": "flow-easy-graph167",
        "image": "data/flow/graph_visual/easy/graph167.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge from node 0 to node 2 with capacity 1,\nan edge from node 0 to node 4 with capacity 6,\nan edge from node 0 to node 6 with capacity 7,\nan edge from node 1 to node 4 with capacity 3,\nan edge from node 1 to node 7 with capacity 5,\nan edge from node 2 to node 4 with capacity 5,\nan edge from node 3 to node 4 with capacity 5,\nan edge from node 4 to node 1 with capacity 2,\nan edge from node 5 to node 2 with capacity 10,\nan edge from node 5 to node 4 with capacity 9,\nan edge from node 6 to node 3 with capacity 1,\nan edge from node 6 to node 0 with capacity 8,\nan edge from node 7 to node 1 with capacity 8,\nan edge from node 7 to node 4 with capacity 4,\nan edge from node 7 to node 6 with capacity 8,\nWhat is the maximum flow from node 0 to node 4:"
            },
            {
                "from": "gpt",
                "value": "8."
            }
        ]
    },
    {
        "id": "flow-easy-graph184",
        "image": "data/flow/graph_visual/easy/graph184.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge from node 0 to node 2 with capacity 3,\nan edge from node 0 to node 7 with capacity 3,\nan edge from node 2 to node 1 with capacity 3,\nan edge from node 3 to node 1 with capacity 5,\nan edge from node 3 to node 7 with capacity 10,\nan edge from node 4 to node 2 with capacity 2,\nan edge from node 4 to node 3 with capacity 9,\nan edge from node 5 to node 0 with capacity 4,\nan edge from node 5 to node 3 with capacity 4,\nan edge from node 5 to node 7 with capacity 2,\nan edge from node 6 to node 2 with capacity 8,\nan edge from node 6 to node 4 with capacity 10,\nWhat is the maximum flow from node 5 to node 7:"
            },
            {
                "from": "gpt",
                "value": "9."
            }
        ]
    },
    {
        "id": "flow-easy-graph266",
        "image": "data/flow/graph_visual/easy/graph266.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge from node 0 to node 8 with capacity 10,\nan edge from node 0 to node 2 with capacity 5,\nan edge from node 0 to node 4 with capacity 2,\nan edge from node 1 to node 2 with capacity 2,\nan edge from node 1 to node 9 with capacity 4,\nan edge from node 1 to node 6 with capacity 7,\nan edge from node 1 to node 4 with capacity 3,\nan edge from node 2 to node 5 with capacity 8,\nan edge from node 2 to node 3 with capacity 8,\nan edge from node 3 to node 4 with capacity 1,\nan edge from node 4 to node 9 with capacity 7,\nan edge from node 5 to node 6 with capacity 5,\nan edge from node 5 to node 0 with capacity 10,\nan edge from node 5 to node 1 with capacity 10,\nan edge from node 6 to node 3 with capacity 4,\nan edge from node 7 to node 3 with capacity 8,\nan edge from node 7 to node 4 with capacity 7,\nan edge from node 8 to node 7 with capacity 7,\nan edge from node 8 to node 5 with capacity 9,\nan edge from node 9 to node 5 with capacity 5,\nan edge from node 9 to node 4 with capacity 2,\nWhat is the maximum flow from node 4 to node 3:"
            },
            {
                "from": "gpt",
                "value": "5."
            }
        ]
    },
    {
        "id": "flow-easy-graph74",
        "image": "data/flow/graph_visual/easy/graph74.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge from node 0 to node 5 with capacity 5,\nan edge from node 0 to node 2 with capacity 1,\nan edge from node 1 to node 3 with capacity 5,\nan edge from node 2 to node 3 with capacity 10,\nan edge from node 3 to node 1 with capacity 9,\nan edge from node 4 to node 3 with capacity 4,\nan edge from node 4 to node 1 with capacity 1,\nan edge from node 4 to node 2 with capacity 4,\nan edge from node 5 to node 2 with capacity 1,\nan edge from node 5 to node 0 with capacity 8,\nWhat is the maximum flow from node 4 to node 1:"
            },
            {
                "from": "gpt",
                "value": "9."
            }
        ]
    },
    {
        "id": "flow-easy-graph94",
        "image": "data/flow/graph_visual/easy/graph94.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge from node 0 to node 3 with capacity 3,\nan edge from node 0 to node 5 with capacity 10,\nan edge from node 1 to node 5 with capacity 5,\nan edge from node 2 to node 3 with capacity 9,\nan edge from node 2 to node 0 with capacity 10,\nan edge from node 2 to node 1 with capacity 1,\nan edge from node 3 to node 0 with capacity 3,\nan edge from node 5 to node 4 with capacity 7,\nan edge from node 5 to node 1 with capacity 4,\nWhat is the maximum flow from node 2 to node 5:"
            },
            {
                "from": "gpt",
                "value": "11."
            }
        ]
    },
    {
        "id": "flow-easy-graph213",
        "image": "data/flow/graph_visual/easy/graph213.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 0 to node 8 with capacity 8,\nan edge from node 1 to node 3 with capacity 9,\nan edge from node 1 to node 2 with capacity 3,\nan edge from node 2 to node 6 with capacity 5,\nan edge from node 2 to node 8 with capacity 8,\nan edge from node 3 to node 8 with capacity 7,\nan edge from node 4 to node 3 with capacity 3,\nan edge from node 5 to node 7 with capacity 2,\nan edge from node 5 to node 6 with capacity 1,\nan edge from node 5 to node 2 with capacity 8,\nan edge from node 6 to node 8 with capacity 8,\nan edge from node 7 to node 8 with capacity 2,\nan edge from node 7 to node 5 with capacity 5,\nan edge from node 8 to node 7 with capacity 10,\nWhat is the maximum flow from node 5 to node 8:"
            },
            {
                "from": "gpt",
                "value": "11."
            }
        ]
    },
    {
        "id": "flow-easy-graph128",
        "image": "data/flow/graph_visual/easy/graph128.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge from node 0 to node 6 with capacity 8,\nan edge from node 1 to node 2 with capacity 8,\nan edge from node 1 to node 3 with capacity 3,\nan edge from node 2 to node 3 with capacity 5,\nan edge from node 2 to node 6 with capacity 1,\nan edge from node 3 to node 5 with capacity 9,\nan edge from node 3 to node 4 with capacity 2,\nan edge from node 4 to node 2 with capacity 1,\nan edge from node 4 to node 3 with capacity 7,\nan edge from node 5 to node 2 with capacity 8,\nan edge from node 5 to node 1 with capacity 6,\nan edge from node 5 to node 6 with capacity 4,\nan edge from node 6 to node 3 with capacity 8,\nWhat is the maximum flow from node 1 to node 4:"
            },
            {
                "from": "gpt",
                "value": "2."
            }
        ]
    },
    {
        "id": "flow-easy-graph24",
        "image": "data/flow/graph_visual/easy/graph24.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge from node 0 to node 1 with capacity 1,\nan edge from node 1 to node 4 with capacity 5,\nan edge from node 2 to node 1 with capacity 6,\nan edge from node 2 to node 3 with capacity 2,\nan edge from node 2 to node 0 with capacity 10,\nan edge from node 3 to node 0 with capacity 9,\nan edge from node 4 to node 0 with capacity 6,\nWhat is the maximum flow from node 2 to node 4:"
            },
            {
                "from": "gpt",
                "value": "5."
            }
        ]
    },
    {
        "id": "flow-easy-graph16",
        "image": "data/flow/graph_visual/easy/graph16.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge from node 0 to node 4 with capacity 9,\nan edge from node 0 to node 2 with capacity 10,\nan edge from node 1 to node 4 with capacity 9,\nan edge from node 1 to node 0 with capacity 7,\nan edge from node 1 to node 2 with capacity 10,\nan edge from node 4 to node 3 with capacity 1,\nan edge from node 4 to node 2 with capacity 1,\nWhat is the maximum flow from node 1 to node 2:"
            },
            {
                "from": "gpt",
                "value": "18."
            }
        ]
    },
    {
        "id": "flow-easy-graph277",
        "image": "data/flow/graph_visual/easy/graph277.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge from node 0 to node 6 with capacity 5,\nan edge from node 0 to node 7 with capacity 3,\nan edge from node 0 to node 1 with capacity 5,\nan edge from node 0 to node 8 with capacity 8,\nan edge from node 1 to node 6 with capacity 9,\nan edge from node 1 to node 5 with capacity 10,\nan edge from node 3 to node 4 with capacity 8,\nan edge from node 3 to node 8 with capacity 2,\nan edge from node 5 to node 2 with capacity 5,\nan edge from node 5 to node 7 with capacity 5,\nan edge from node 5 to node 1 with capacity 9,\nan edge from node 5 to node 9 with capacity 7,\nan edge from node 5 to node 8 with capacity 5,\nan edge from node 7 to node 9 with capacity 9,\nan edge from node 7 to node 5 with capacity 1,\nan edge from node 9 to node 5 with capacity 7,\nWhat is the maximum flow from node 0 to node 8:"
            },
            {
                "from": "gpt",
                "value": "13."
            }
        ]
    },
    {
        "id": "flow-easy-graph154",
        "image": "data/flow/graph_visual/easy/graph154.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge from node 0 to node 6 with capacity 5,\nan edge from node 0 to node 3 with capacity 7,\nan edge from node 1 to node 7 with capacity 7,\nan edge from node 1 to node 2 with capacity 3,\nan edge from node 2 to node 7 with capacity 7,\nan edge from node 2 to node 4 with capacity 5,\nan edge from node 3 to node 5 with capacity 7,\nan edge from node 3 to node 1 with capacity 8,\nan edge from node 4 to node 0 with capacity 3,\nan edge from node 5 to node 7 with capacity 5,\nan edge from node 6 to node 5 with capacity 6,\nan edge from node 6 to node 7 with capacity 6,\nan edge from node 6 to node 0 with capacity 9,\nan edge from node 7 to node 4 with capacity 4,\nan edge from node 7 to node 1 with capacity 8,\nWhat is the maximum flow from node 1 to node 6:"
            },
            {
                "from": "gpt",
                "value": "3."
            }
        ]
    },
    {
        "id": "flow-easy-graph27",
        "image": "data/flow/graph_visual/easy/graph27.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge from node 0 to node 3 with capacity 3,\nan edge from node 0 to node 4 with capacity 10,\nan edge from node 1 to node 3 with capacity 3,\nan edge from node 1 to node 4 with capacity 5,\nan edge from node 2 to node 1 with capacity 10,\nan edge from node 3 to node 1 with capacity 10,\nan edge from node 3 to node 4 with capacity 1,\nan edge from node 4 to node 3 with capacity 2,\nWhat is the maximum flow from node 0 to node 4:"
            },
            {
                "from": "gpt",
                "value": "13."
            }
        ]
    },
    {
        "id": "flow-easy-graph217",
        "image": "data/flow/graph_visual/easy/graph217.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 1 to node 3 with capacity 9,\nan edge from node 1 to node 8 with capacity 8,\nan edge from node 1 to node 6 with capacity 7,\nan edge from node 2 to node 1 with capacity 8,\nan edge from node 2 to node 7 with capacity 4,\nan edge from node 3 to node 8 with capacity 10,\nan edge from node 4 to node 1 with capacity 3,\nan edge from node 4 to node 5 with capacity 3,\nan edge from node 4 to node 6 with capacity 8,\nan edge from node 5 to node 4 with capacity 4,\nan edge from node 5 to node 8 with capacity 5,\nan edge from node 6 to node 7 with capacity 3,\nan edge from node 6 to node 5 with capacity 10,\nan edge from node 6 to node 8 with capacity 4,\nan edge from node 7 to node 3 with capacity 9,\nan edge from node 8 to node 0 with capacity 2,\nan edge from node 8 to node 5 with capacity 6,\nan edge from node 8 to node 3 with capacity 9,\nan edge from node 8 to node 4 with capacity 1,\nWhat is the maximum flow from node 4 to node 0:"
            },
            {
                "from": "gpt",
                "value": "2."
            }
        ]
    },
    {
        "id": "flow-easy-graph144",
        "image": "data/flow/graph_visual/easy/graph144.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge from node 0 to node 1 with capacity 10,\nan edge from node 1 to node 0 with capacity 4,\nan edge from node 1 to node 6 with capacity 4,\nan edge from node 1 to node 3 with capacity 1,\nan edge from node 2 to node 5 with capacity 3,\nan edge from node 2 to node 1 with capacity 3,\nan edge from node 2 to node 4 with capacity 1,\nan edge from node 3 to node 1 with capacity 6,\nan edge from node 3 to node 0 with capacity 4,\nan edge from node 4 to node 5 with capacity 4,\nan edge from node 4 to node 3 with capacity 7,\nan edge from node 5 to node 4 with capacity 8,\nan edge from node 5 to node 0 with capacity 2,\nan edge from node 6 to node 4 with capacity 9,\nan edge from node 6 to node 3 with capacity 1,\nWhat is the maximum flow from node 3 to node 0:"
            },
            {
                "from": "gpt",
                "value": "10."
            }
        ]
    },
    {
        "id": "flow-easy-graph206",
        "image": "data/flow/graph_visual/easy/graph206.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 0 to node 8 with capacity 3,\nan edge from node 1 to node 3 with capacity 6,\nan edge from node 2 to node 5 with capacity 7,\nan edge from node 2 to node 4 with capacity 4,\nan edge from node 2 to node 3 with capacity 6,\nan edge from node 3 to node 5 with capacity 5,\nan edge from node 3 to node 6 with capacity 10,\nan edge from node 4 to node 2 with capacity 2,\nan edge from node 5 to node 8 with capacity 7,\nan edge from node 8 to node 4 with capacity 8,\nan edge from node 8 to node 6 with capacity 6,\nWhat is the maximum flow from node 2 to node 6:"
            },
            {
                "from": "gpt",
                "value": "12."
            }
        ]
    },
    {
        "id": "flow-easy-graph290",
        "image": "data/flow/graph_visual/easy/graph290.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge from node 0 to node 6 with capacity 2,\nan edge from node 0 to node 8 with capacity 1,\nan edge from node 1 to node 9 with capacity 7,\nan edge from node 1 to node 6 with capacity 5,\nan edge from node 2 to node 0 with capacity 4,\nan edge from node 3 to node 1 with capacity 8,\nan edge from node 3 to node 0 with capacity 2,\nan edge from node 3 to node 6 with capacity 5,\nan edge from node 3 to node 4 with capacity 5,\nan edge from node 3 to node 7 with capacity 4,\nan edge from node 4 to node 3 with capacity 5,\nan edge from node 5 to node 1 with capacity 8,\nan edge from node 5 to node 0 with capacity 10,\nan edge from node 5 to node 9 with capacity 5,\nan edge from node 5 to node 3 with capacity 1,\nan edge from node 6 to node 1 with capacity 8,\nan edge from node 6 to node 2 with capacity 2,\nan edge from node 6 to node 8 with capacity 10,\nan edge from node 7 to node 1 with capacity 1,\nan edge from node 7 to node 6 with capacity 2,\nan edge from node 8 to node 1 with capacity 10,\nan edge from node 9 to node 5 with capacity 2,\nWhat is the maximum flow from node 1 to node 2:"
            },
            {
                "from": "gpt",
                "value": "2."
            }
        ]
    },
    {
        "id": "flow-easy-graph150",
        "image": "data/flow/graph_visual/easy/graph150.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge from node 0 to node 4 with capacity 8,\nan edge from node 0 to node 1 with capacity 8,\nan edge from node 1 to node 4 with capacity 4,\nan edge from node 1 to node 3 with capacity 2,\nan edge from node 3 to node 2 with capacity 8,\nan edge from node 4 to node 7 with capacity 5,\nan edge from node 4 to node 6 with capacity 1,\nan edge from node 4 to node 2 with capacity 9,\nan edge from node 4 to node 1 with capacity 5,\nan edge from node 5 to node 0 with capacity 8,\nan edge from node 5 to node 4 with capacity 10,\nan edge from node 5 to node 1 with capacity 9,\nan edge from node 7 to node 5 with capacity 9,\nan edge from node 7 to node 3 with capacity 1,\nWhat is the maximum flow from node 1 to node 2:"
            },
            {
                "from": "gpt",
                "value": "6."
            }
        ]
    },
    {
        "id": "flow-easy-graph229",
        "image": "data/flow/graph_visual/easy/graph229.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 0 to node 3 with capacity 9,\nan edge from node 1 to node 0 with capacity 1,\nan edge from node 2 to node 7 with capacity 5,\nan edge from node 3 to node 7 with capacity 10,\nan edge from node 3 to node 6 with capacity 4,\nan edge from node 4 to node 8 with capacity 6,\nan edge from node 5 to node 2 with capacity 10,\nan edge from node 5 to node 8 with capacity 5,\nan edge from node 5 to node 6 with capacity 2,\nan edge from node 6 to node 3 with capacity 8,\nan edge from node 7 to node 1 with capacity 9,\nan edge from node 8 to node 7 with capacity 10,\nan edge from node 8 to node 3 with capacity 6,\nan edge from node 8 to node 4 with capacity 10,\nan edge from node 8 to node 6 with capacity 1,\nWhat is the maximum flow from node 8 to node 1:"
            },
            {
                "from": "gpt",
                "value": "9."
            }
        ]
    },
    {
        "id": "flow-easy-graph104",
        "image": "data/flow/graph_visual/easy/graph104.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge from node 0 to node 3 with capacity 9,\nan edge from node 0 to node 6 with capacity 5,\nan edge from node 1 to node 5 with capacity 10,\nan edge from node 1 to node 6 with capacity 6,\nan edge from node 1 to node 2 with capacity 4,\nan edge from node 2 to node 5 with capacity 10,\nan edge from node 2 to node 6 with capacity 8,\nan edge from node 2 to node 0 with capacity 8,\nan edge from node 3 to node 0 with capacity 7,\nan edge from node 4 to node 3 with capacity 2,\nan edge from node 4 to node 1 with capacity 2,\nan edge from node 4 to node 6 with capacity 3,\nan edge from node 5 to node 1 with capacity 5,\nan edge from node 5 to node 4 with capacity 2,\nan edge from node 6 to node 3 with capacity 1,\nWhat is the maximum flow from node 4 to node 0:"
            },
            {
                "from": "gpt",
                "value": "5."
            }
        ]
    },
    {
        "id": "flow-easy-graph88",
        "image": "data/flow/graph_visual/easy/graph88.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge from node 0 to node 2 with capacity 2,\nan edge from node 1 to node 2 with capacity 9,\nan edge from node 2 to node 1 with capacity 2,\nan edge from node 2 to node 3 with capacity 8,\nan edge from node 2 to node 0 with capacity 8,\nan edge from node 3 to node 2 with capacity 8,\nan edge from node 3 to node 0 with capacity 4,\nan edge from node 4 to node 3 with capacity 1,\nan edge from node 5 to node 1 with capacity 5,\nan edge from node 5 to node 2 with capacity 8,\nWhat is the maximum flow from node 5 to node 0:"
            },
            {
                "from": "gpt",
                "value": "12."
            }
        ]
    },
    {
        "id": "flow-easy-graph8",
        "image": "data/flow/graph_visual/easy/graph8.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge from node 0 to node 1 with capacity 1,\nan edge from node 0 to node 3 with capacity 3,\nan edge from node 2 to node 0 with capacity 1,\nan edge from node 2 to node 3 with capacity 7,\nan edge from node 3 to node 2 with capacity 8,\nan edge from node 4 to node 1 with capacity 2,\nan edge from node 4 to node 2 with capacity 6,\nan edge from node 4 to node 3 with capacity 7,\nWhat is the maximum flow from node 4 to node 1:"
            },
            {
                "from": "gpt",
                "value": "3."
            }
        ]
    },
    {
        "id": "flow-easy-graph92",
        "image": "data/flow/graph_visual/easy/graph92.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge from node 0 to node 5 with capacity 4,\nan edge from node 0 to node 1 with capacity 8,\nan edge from node 1 to node 3 with capacity 9,\nan edge from node 1 to node 5 with capacity 1,\nan edge from node 3 to node 1 with capacity 6,\nan edge from node 4 to node 0 with capacity 6,\nan edge from node 4 to node 1 with capacity 6,\nWhat is the maximum flow from node 4 to node 5:"
            },
            {
                "from": "gpt",
                "value": "5."
            }
        ]
    },
    {
        "id": "flow-easy-graph231",
        "image": "data/flow/graph_visual/easy/graph231.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 0 to node 2 with capacity 3,\nan edge from node 1 to node 6 with capacity 3,\nan edge from node 1 to node 7 with capacity 10,\nan edge from node 2 to node 0 with capacity 1,\nan edge from node 2 to node 1 with capacity 8,\nan edge from node 2 to node 7 with capacity 8,\nan edge from node 3 to node 0 with capacity 6,\nan edge from node 3 to node 5 with capacity 4,\nan edge from node 4 to node 2 with capacity 2,\nan edge from node 5 to node 2 with capacity 3,\nan edge from node 5 to node 3 with capacity 3,\nan edge from node 7 to node 5 with capacity 9,\nan edge from node 7 to node 8 with capacity 9,\nan edge from node 8 to node 0 with capacity 9,\nWhat is the maximum flow from node 3 to node 5:"
            },
            {
                "from": "gpt",
                "value": "7."
            }
        ]
    },
    {
        "id": "flow-easy-graph47",
        "image": "data/flow/graph_visual/easy/graph47.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge from node 0 to node 1 with capacity 1,\nan edge from node 0 to node 4 with capacity 4,\nan edge from node 0 to node 2 with capacity 7,\nan edge from node 1 to node 2 with capacity 2,\nan edge from node 1 to node 0 with capacity 2,\nan edge from node 2 to node 1 with capacity 9,\nan edge from node 2 to node 4 with capacity 1,\nan edge from node 2 to node 3 with capacity 6,\nan edge from node 3 to node 1 with capacity 9,\nan edge from node 3 to node 4 with capacity 1,\nan edge from node 3 to node 0 with capacity 1,\nan edge from node 4 to node 3 with capacity 2,\nWhat is the maximum flow from node 0 to node 1:"
            },
            {
                "from": "gpt",
                "value": "10."
            }
        ]
    },
    {
        "id": "flow-easy-graph185",
        "image": "data/flow/graph_visual/easy/graph185.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge from node 1 to node 6 with capacity 2,\nan edge from node 1 to node 0 with capacity 9,\nan edge from node 2 to node 0 with capacity 3,\nan edge from node 2 to node 4 with capacity 7,\nan edge from node 3 to node 1 with capacity 1,\nan edge from node 3 to node 6 with capacity 9,\nan edge from node 3 to node 5 with capacity 5,\nan edge from node 4 to node 1 with capacity 2,\nan edge from node 4 to node 5 with capacity 10,\nan edge from node 5 to node 7 with capacity 9,\nan edge from node 5 to node 1 with capacity 8,\nan edge from node 5 to node 2 with capacity 8,\nan edge from node 6 to node 7 with capacity 5,\nan edge from node 6 to node 3 with capacity 10,\nan edge from node 6 to node 0 with capacity 8,\nan edge from node 7 to node 6 with capacity 9,\nWhat is the maximum flow from node 6 to node 0:"
            },
            {
                "from": "gpt",
                "value": "14."
            }
        ]
    },
    {
        "id": "flow-easy-graph157",
        "image": "data/flow/graph_visual/easy/graph157.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge from node 1 to node 7 with capacity 5,\nan edge from node 2 to node 4 with capacity 1,\nan edge from node 2 to node 1 with capacity 10,\nan edge from node 3 to node 2 with capacity 5,\nan edge from node 4 to node 6 with capacity 9,\nan edge from node 5 to node 2 with capacity 8,\nan edge from node 5 to node 3 with capacity 6,\nan edge from node 6 to node 7 with capacity 7,\nan edge from node 6 to node 1 with capacity 8,\nan edge from node 7 to node 3 with capacity 2,\nWhat is the maximum flow from node 5 to node 3:"
            },
            {
                "from": "gpt",
                "value": "8."
            }
        ]
    },
    {
        "id": "flow-easy-graph75",
        "image": "data/flow/graph_visual/easy/graph75.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge from node 0 to node 3 with capacity 4,\nan edge from node 1 to node 4 with capacity 2,\nan edge from node 1 to node 5 with capacity 1,\nan edge from node 2 to node 1 with capacity 2,\nan edge from node 2 to node 0 with capacity 1,\nan edge from node 3 to node 2 with capacity 6,\nan edge from node 3 to node 4 with capacity 3,\nan edge from node 4 to node 2 with capacity 3,\nan edge from node 4 to node 1 with capacity 4,\nan edge from node 4 to node 3 with capacity 2,\nan edge from node 5 to node 4 with capacity 10,\nan edge from node 5 to node 0 with capacity 10,\nWhat is the maximum flow from node 4 to node 2:"
            },
            {
                "from": "gpt",
                "value": "6."
            }
        ]
    },
    {
        "id": "flow-easy-graph72",
        "image": "data/flow/graph_visual/easy/graph72.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge from node 0 to node 4 with capacity 6,\nan edge from node 1 to node 5 with capacity 2,\nan edge from node 2 to node 4 with capacity 7,\nan edge from node 2 to node 5 with capacity 2,\nan edge from node 3 to node 4 with capacity 2,\nan edge from node 3 to node 5 with capacity 2,\nan edge from node 4 to node 3 with capacity 3,\nan edge from node 5 to node 2 with capacity 10,\nan edge from node 5 to node 0 with capacity 3,\nWhat is the maximum flow from node 3 to node 4:"
            },
            {
                "from": "gpt",
                "value": "4."
            }
        ]
    },
    {
        "id": "flow-easy-graph156",
        "image": "data/flow/graph_visual/easy/graph156.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge from node 0 to node 5 with capacity 9,\nan edge from node 0 to node 6 with capacity 3,\nan edge from node 1 to node 3 with capacity 10,\nan edge from node 2 to node 5 with capacity 10,\nan edge from node 2 to node 6 with capacity 3,\nan edge from node 3 to node 6 with capacity 9,\nan edge from node 5 to node 1 with capacity 8,\nan edge from node 6 to node 5 with capacity 4,\nan edge from node 6 to node 3 with capacity 6,\nan edge from node 6 to node 7 with capacity 2,\nWhat is the maximum flow from node 0 to node 3:"
            },
            {
                "from": "gpt",
                "value": "11."
            }
        ]
    },
    {
        "id": "flow-easy-graph39",
        "image": "data/flow/graph_visual/easy/graph39.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge from node 1 to node 3 with capacity 9,\nan edge from node 2 to node 0 with capacity 9,\nan edge from node 2 to node 3 with capacity 7,\nan edge from node 4 to node 3 with capacity 1,\nan edge from node 4 to node 2 with capacity 4,\nan edge from node 4 to node 1 with capacity 10,\nWhat is the maximum flow from node 4 to node 3:"
            },
            {
                "from": "gpt",
                "value": "14."
            }
        ]
    },
    {
        "id": "flow-easy-graph236",
        "image": "data/flow/graph_visual/easy/graph236.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 0 to node 1 with capacity 8,\nan edge from node 1 to node 0 with capacity 6,\nan edge from node 1 to node 7 with capacity 8,\nan edge from node 1 to node 4 with capacity 5,\nan edge from node 2 to node 1 with capacity 4,\nan edge from node 3 to node 8 with capacity 5,\nan edge from node 3 to node 4 with capacity 1,\nan edge from node 5 to node 2 with capacity 9,\nan edge from node 5 to node 3 with capacity 5,\nan edge from node 6 to node 0 with capacity 4,\nan edge from node 6 to node 7 with capacity 5,\nan edge from node 6 to node 1 with capacity 5,\nan edge from node 8 to node 2 with capacity 10,\nWhat is the maximum flow from node 6 to node 7:"
            },
            {
                "from": "gpt",
                "value": "13."
            }
        ]
    },
    {
        "id": "flow-easy-graph271",
        "image": "data/flow/graph_visual/easy/graph271.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge from node 0 to node 8 with capacity 1,\nan edge from node 0 to node 6 with capacity 10,\nan edge from node 0 to node 3 with capacity 1,\nan edge from node 2 to node 7 with capacity 4,\nan edge from node 2 to node 6 with capacity 4,\nan edge from node 3 to node 9 with capacity 10,\nan edge from node 4 to node 8 with capacity 8,\nan edge from node 4 to node 5 with capacity 4,\nan edge from node 5 to node 4 with capacity 8,\nan edge from node 5 to node 7 with capacity 6,\nan edge from node 5 to node 3 with capacity 5,\nan edge from node 7 to node 9 with capacity 4,\nan edge from node 7 to node 6 with capacity 1,\nan edge from node 7 to node 3 with capacity 7,\nan edge from node 8 to node 3 with capacity 6,\nan edge from node 9 to node 4 with capacity 8,\nWhat is the maximum flow from node 0 to node 6:"
            },
            {
                "from": "gpt",
                "value": "11."
            }
        ]
    },
    {
        "id": "flow-easy-graph79",
        "image": "data/flow/graph_visual/easy/graph79.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge from node 0 to node 3 with capacity 2,\nan edge from node 2 to node 5 with capacity 5,\nan edge from node 3 to node 0 with capacity 2,\nan edge from node 3 to node 1 with capacity 10,\nan edge from node 3 to node 2 with capacity 3,\nan edge from node 4 to node 2 with capacity 8,\nan edge from node 4 to node 3 with capacity 10,\nan edge from node 5 to node 0 with capacity 1,\nan edge from node 5 to node 4 with capacity 5,\nan edge from node 5 to node 3 with capacity 5,\nWhat is the maximum flow from node 5 to node 2:"
            },
            {
                "from": "gpt",
                "value": "8."
            }
        ]
    },
    {
        "id": "flow-easy-graph262",
        "image": "data/flow/graph_visual/easy/graph262.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge from node 0 to node 2 with capacity 6,\nan edge from node 0 to node 1 with capacity 7,\nan edge from node 1 to node 0 with capacity 9,\nan edge from node 1 to node 7 with capacity 2,\nan edge from node 2 to node 1 with capacity 3,\nan edge from node 2 to node 7 with capacity 10,\nan edge from node 3 to node 2 with capacity 3,\nan edge from node 3 to node 8 with capacity 2,\nan edge from node 3 to node 7 with capacity 6,\nan edge from node 4 to node 0 with capacity 10,\nan edge from node 5 to node 6 with capacity 7,\nan edge from node 5 to node 1 with capacity 6,\nan edge from node 5 to node 3 with capacity 1,\nan edge from node 7 to node 2 with capacity 9,\nan edge from node 7 to node 1 with capacity 6,\nan edge from node 8 to node 6 with capacity 1,\nan edge from node 8 to node 0 with capacity 7,\nan edge from node 8 to node 9 with capacity 9,\nan edge from node 9 to node 6 with capacity 5,\nan edge from node 9 to node 3 with capacity 5,\nan edge from node 9 to node 5 with capacity 10,\nWhat is the maximum flow from node 0 to node 1:"
            },
            {
                "from": "gpt",
                "value": "13."
            }
        ]
    },
    {
        "id": "flow-easy-graph261",
        "image": "data/flow/graph_visual/easy/graph261.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge from node 0 to node 7 with capacity 6,\nan edge from node 1 to node 8 with capacity 10,\nan edge from node 1 to node 2 with capacity 7,\nan edge from node 1 to node 3 with capacity 3,\nan edge from node 3 to node 6 with capacity 5,\nan edge from node 3 to node 9 with capacity 1,\nan edge from node 3 to node 5 with capacity 7,\nan edge from node 4 to node 8 with capacity 7,\nan edge from node 4 to node 0 with capacity 4,\nan edge from node 4 to node 3 with capacity 3,\nan edge from node 5 to node 7 with capacity 7,\nan edge from node 5 to node 3 with capacity 10,\nan edge from node 6 to node 1 with capacity 1,\nan edge from node 6 to node 0 with capacity 7,\nan edge from node 6 to node 9 with capacity 9,\nan edge from node 7 to node 3 with capacity 4,\nan edge from node 8 to node 4 with capacity 10,\nan edge from node 9 to node 0 with capacity 3,\nan edge from node 9 to node 2 with capacity 8,\nWhat is the maximum flow from node 4 to node 9:"
            },
            {
                "from": "gpt",
                "value": "6."
            }
        ]
    },
    {
        "id": "flow-easy-graph181",
        "image": "data/flow/graph_visual/easy/graph181.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge from node 0 to node 5 with capacity 6,\nan edge from node 0 to node 6 with capacity 9,\nan edge from node 0 to node 2 with capacity 8,\nan edge from node 1 to node 6 with capacity 1,\nan edge from node 1 to node 3 with capacity 7,\nan edge from node 2 to node 3 with capacity 4,\nan edge from node 4 to node 0 with capacity 7,\nan edge from node 5 to node 6 with capacity 10,\nan edge from node 5 to node 2 with capacity 10,\nan edge from node 6 to node 3 with capacity 4,\nWhat is the maximum flow from node 4 to node 3:"
            },
            {
                "from": "gpt",
                "value": "7."
            }
        ]
    },
    {
        "id": "flow-easy-graph5",
        "image": "data/flow/graph_visual/easy/graph5.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge from node 1 to node 0 with capacity 4,\nan edge from node 1 to node 3 with capacity 6,\nan edge from node 1 to node 4 with capacity 1,\nan edge from node 3 to node 1 with capacity 3,\nan edge from node 3 to node 4 with capacity 6,\nan edge from node 3 to node 2 with capacity 6,\nan edge from node 4 to node 1 with capacity 7,\nan edge from node 4 to node 2 with capacity 4,\nWhat is the maximum flow from node 1 to node 2:"
            },
            {
                "from": "gpt",
                "value": "7."
            }
        ]
    },
    {
        "id": "flow-easy-graph95",
        "image": "data/flow/graph_visual/easy/graph95.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge from node 0 to node 1 with capacity 4,\nan edge from node 1 to node 0 with capacity 9,\nan edge from node 1 to node 4 with capacity 6,\nan edge from node 2 to node 3 with capacity 10,\nan edge from node 2 to node 1 with capacity 7,\nan edge from node 3 to node 4 with capacity 6,\nan edge from node 3 to node 5 with capacity 8,\nan edge from node 4 to node 1 with capacity 9,\nan edge from node 4 to node 5 with capacity 3,\nan edge from node 4 to node 2 with capacity 5,\nan edge from node 5 to node 3 with capacity 4,\nan edge from node 5 to node 4 with capacity 3,\nWhat is the maximum flow from node 2 to node 0:"
            },
            {
                "from": "gpt",
                "value": "9."
            }
        ]
    },
    {
        "id": "flow-easy-graph272",
        "image": "data/flow/graph_visual/easy/graph272.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge from node 0 to node 7 with capacity 3,\nan edge from node 0 to node 1 with capacity 3,\nan edge from node 2 to node 8 with capacity 6,\nan edge from node 4 to node 7 with capacity 3,\nan edge from node 4 to node 5 with capacity 7,\nan edge from node 4 to node 3 with capacity 7,\nan edge from node 5 to node 7 with capacity 6,\nan edge from node 6 to node 1 with capacity 7,\nan edge from node 7 to node 2 with capacity 10,\nan edge from node 9 to node 8 with capacity 2,\nan edge from node 9 to node 5 with capacity 5,\nan edge from node 9 to node 4 with capacity 3,\nan edge from node 9 to node 3 with capacity 9,\nWhat is the maximum flow from node 9 to node 8:"
            },
            {
                "from": "gpt",
                "value": "8."
            }
        ]
    },
    {
        "id": "flow-easy-graph83",
        "image": "data/flow/graph_visual/easy/graph83.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge from node 0 to node 5 with capacity 6,\nan edge from node 0 to node 4 with capacity 1,\nan edge from node 1 to node 0 with capacity 4,\nan edge from node 2 to node 1 with capacity 10,\nan edge from node 2 to node 0 with capacity 2,\nan edge from node 3 to node 0 with capacity 10,\nan edge from node 5 to node 1 with capacity 2,\nan edge from node 5 to node 2 with capacity 1,\nan edge from node 5 to node 4 with capacity 3,\nWhat is the maximum flow from node 2 to node 4:"
            },
            {
                "from": "gpt",
                "value": "4."
            }
        ]
    },
    {
        "id": "flow-easy-graph114",
        "image": "data/flow/graph_visual/easy/graph114.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge from node 0 to node 3 with capacity 6,\nan edge from node 0 to node 6 with capacity 1,\nan edge from node 1 to node 5 with capacity 1,\nan edge from node 1 to node 0 with capacity 7,\nan edge from node 3 to node 1 with capacity 6,\nan edge from node 3 to node 6 with capacity 5,\nan edge from node 4 to node 2 with capacity 8,\nan edge from node 4 to node 0 with capacity 8,\nan edge from node 5 to node 3 with capacity 6,\nWhat is the maximum flow from node 1 to node 6:"
            },
            {
                "from": "gpt",
                "value": "6."
            }
        ]
    },
    {
        "id": "flow-easy-graph179",
        "image": "data/flow/graph_visual/easy/graph179.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge from node 0 to node 2 with capacity 7,\nan edge from node 0 to node 3 with capacity 3,\nan edge from node 0 to node 1 with capacity 1,\nan edge from node 1 to node 2 with capacity 4,\nan edge from node 1 to node 3 with capacity 5,\nan edge from node 2 to node 1 with capacity 6,\nan edge from node 3 to node 2 with capacity 4,\nan edge from node 3 to node 7 with capacity 1,\nan edge from node 4 to node 5 with capacity 4,\nan edge from node 4 to node 0 with capacity 10,\nan edge from node 6 to node 3 with capacity 10,\nan edge from node 7 to node 2 with capacity 7,\nan edge from node 7 to node 5 with capacity 6,\nWhat is the maximum flow from node 0 to node 5:"
            },
            {
                "from": "gpt",
                "value": "1."
            }
        ]
    },
    {
        "id": "flow-easy-graph225",
        "image": "data/flow/graph_visual/easy/graph225.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 0 to node 5 with capacity 8,\nan edge from node 1 to node 6 with capacity 10,\nan edge from node 2 to node 7 with capacity 7,\nan edge from node 2 to node 6 with capacity 9,\nan edge from node 2 to node 0 with capacity 8,\nan edge from node 3 to node 6 with capacity 8,\nan edge from node 3 to node 1 with capacity 6,\nan edge from node 3 to node 0 with capacity 5,\nan edge from node 4 to node 7 with capacity 2,\nan edge from node 4 to node 2 with capacity 5,\nan edge from node 4 to node 3 with capacity 2,\nan edge from node 4 to node 5 with capacity 3,\nan edge from node 5 to node 4 with capacity 6,\nan edge from node 5 to node 3 with capacity 7,\nan edge from node 6 to node 2 with capacity 9,\nan edge from node 6 to node 1 with capacity 4,\nan edge from node 6 to node 0 with capacity 6,\nan edge from node 6 to node 5 with capacity 2,\nan edge from node 7 to node 0 with capacity 1,\nan edge from node 7 to node 3 with capacity 3,\nan edge from node 8 to node 0 with capacity 6,\nWhat is the maximum flow from node 1 to node 4:"
            },
            {
                "from": "gpt",
                "value": "6."
            }
        ]
    },
    {
        "id": "flow-easy-graph67",
        "image": "data/flow/graph_visual/easy/graph67.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge from node 0 to node 1 with capacity 7,\nan edge from node 0 to node 3 with capacity 8,\nan edge from node 0 to node 2 with capacity 2,\nan edge from node 1 to node 4 with capacity 1,\nan edge from node 1 to node 5 with capacity 2,\nan edge from node 2 to node 1 with capacity 7,\nan edge from node 2 to node 5 with capacity 2,\nan edge from node 3 to node 1 with capacity 7,\nan edge from node 4 to node 1 with capacity 10,\nan edge from node 4 to node 3 with capacity 4,\nan edge from node 5 to node 1 with capacity 1,\nWhat is the maximum flow from node 0 to node 5:"
            },
            {
                "from": "gpt",
                "value": "4."
            }
        ]
    },
    {
        "id": "flow-easy-graph115",
        "image": "data/flow/graph_visual/easy/graph115.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge from node 0 to node 3 with capacity 7,\nan edge from node 0 to node 2 with capacity 4,\nan edge from node 2 to node 3 with capacity 4,\nan edge from node 2 to node 6 with capacity 9,\nan edge from node 3 to node 2 with capacity 6,\nan edge from node 4 to node 0 with capacity 10,\nan edge from node 5 to node 2 with capacity 3,\nan edge from node 5 to node 6 with capacity 3,\nan edge from node 6 to node 0 with capacity 9,\nWhat is the maximum flow from node 5 to node 2:"
            },
            {
                "from": "gpt",
                "value": "6."
            }
        ]
    },
    {
        "id": "flow-easy-graph110",
        "image": "data/flow/graph_visual/easy/graph110.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge from node 0 to node 5 with capacity 8,\nan edge from node 1 to node 2 with capacity 6,\nan edge from node 1 to node 5 with capacity 3,\nan edge from node 1 to node 4 with capacity 6,\nan edge from node 3 to node 1 with capacity 7,\nan edge from node 3 to node 4 with capacity 3,\nan edge from node 3 to node 0 with capacity 5,\nan edge from node 4 to node 6 with capacity 3,\nan edge from node 4 to node 2 with capacity 1,\nan edge from node 5 to node 3 with capacity 2,\nan edge from node 5 to node 0 with capacity 5,\nan edge from node 6 to node 4 with capacity 2,\nWhat is the maximum flow from node 1 to node 2:"
            },
            {
                "from": "gpt",
                "value": "7."
            }
        ]
    },
    {
        "id": "flow-easy-graph201",
        "image": "data/flow/graph_visual/easy/graph201.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 0 to node 6 with capacity 6,\nan edge from node 1 to node 3 with capacity 2,\nan edge from node 1 to node 8 with capacity 8,\nan edge from node 2 to node 1 with capacity 1,\nan edge from node 2 to node 5 with capacity 7,\nan edge from node 2 to node 6 with capacity 8,\nan edge from node 2 to node 0 with capacity 2,\nan edge from node 3 to node 6 with capacity 8,\nan edge from node 4 to node 5 with capacity 1,\nan edge from node 5 to node 2 with capacity 2,\nan edge from node 5 to node 4 with capacity 7,\nan edge from node 5 to node 3 with capacity 10,\nan edge from node 6 to node 2 with capacity 9,\nan edge from node 7 to node 5 with capacity 6,\nan edge from node 7 to node 0 with capacity 5,\nan edge from node 8 to node 0 with capacity 3,\nWhat is the maximum flow from node 7 to node 1:"
            },
            {
                "from": "gpt",
                "value": "1."
            }
        ]
    },
    {
        "id": "flow-easy-graph166",
        "image": "data/flow/graph_visual/easy/graph166.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge from node 0 to node 7 with capacity 4,\nan edge from node 1 to node 3 with capacity 10,\nan edge from node 2 to node 0 with capacity 5,\nan edge from node 3 to node 6 with capacity 7,\nan edge from node 3 to node 4 with capacity 2,\nan edge from node 3 to node 7 with capacity 7,\nan edge from node 3 to node 2 with capacity 5,\nan edge from node 4 to node 7 with capacity 6,\nan edge from node 5 to node 7 with capacity 1,\nan edge from node 6 to node 4 with capacity 5,\nan edge from node 6 to node 0 with capacity 8,\nan edge from node 6 to node 3 with capacity 4,\nWhat is the maximum flow from node 1 to node 7:"
            },
            {
                "from": "gpt",
                "value": "10."
            }
        ]
    },
    {
        "id": "flow-easy-graph42",
        "image": "data/flow/graph_visual/easy/graph42.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge from node 0 to node 2 with capacity 10,\nan edge from node 0 to node 1 with capacity 8,\nan edge from node 0 to node 4 with capacity 10,\nan edge from node 0 to node 3 with capacity 2,\nan edge from node 1 to node 2 with capacity 1,\nan edge from node 1 to node 4 with capacity 7,\nan edge from node 2 to node 1 with capacity 6,\nan edge from node 2 to node 3 with capacity 2,\nan edge from node 3 to node 0 with capacity 10,\nan edge from node 4 to node 1 with capacity 10,\nWhat is the maximum flow from node 3 to node 1:"
            },
            {
                "from": "gpt",
                "value": "10."
            }
        ]
    },
    {
        "id": "flow-easy-graph212",
        "image": "data/flow/graph_visual/easy/graph212.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 0 to node 3 with capacity 6,\nan edge from node 0 to node 8 with capacity 9,\nan edge from node 1 to node 8 with capacity 5,\nan edge from node 2 to node 5 with capacity 1,\nan edge from node 2 to node 8 with capacity 6,\nan edge from node 3 to node 6 with capacity 7,\nan edge from node 3 to node 7 with capacity 7,\nan edge from node 4 to node 3 with capacity 10,\nan edge from node 4 to node 1 with capacity 5,\nan edge from node 4 to node 8 with capacity 8,\nan edge from node 4 to node 0 with capacity 10,\nan edge from node 5 to node 3 with capacity 3,\nan edge from node 5 to node 1 with capacity 3,\nan edge from node 5 to node 0 with capacity 10,\nan edge from node 7 to node 2 with capacity 10,\nan edge from node 8 to node 0 with capacity 3,\nWhat is the maximum flow from node 2 to node 8:"
            },
            {
                "from": "gpt",
                "value": "7."
            }
        ]
    },
    {
        "id": "flow-easy-graph293",
        "image": "data/flow/graph_visual/easy/graph293.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge from node 0 to node 2 with capacity 10,\nan edge from node 1 to node 2 with capacity 8,\nan edge from node 2 to node 3 with capacity 4,\nan edge from node 3 to node 0 with capacity 2,\nan edge from node 3 to node 1 with capacity 8,\nan edge from node 3 to node 2 with capacity 6,\nan edge from node 4 to node 0 with capacity 4,\nan edge from node 5 to node 9 with capacity 9,\nan edge from node 5 to node 2 with capacity 7,\nan edge from node 6 to node 8 with capacity 2,\nan edge from node 6 to node 7 with capacity 3,\nan edge from node 7 to node 9 with capacity 4,\nan edge from node 7 to node 4 with capacity 7,\nan edge from node 7 to node 3 with capacity 5,\nan edge from node 8 to node 0 with capacity 3,\nan edge from node 8 to node 5 with capacity 4,\nan edge from node 9 to node 4 with capacity 1,\nWhat is the maximum flow from node 6 to node 4:"
            },
            {
                "from": "gpt",
                "value": "4."
            }
        ]
    },
    {
        "id": "flow-easy-graph239",
        "image": "data/flow/graph_visual/easy/graph239.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 0 to node 1 with capacity 8,\nan edge from node 0 to node 3 with capacity 9,\nan edge from node 1 to node 5 with capacity 6,\nan edge from node 2 to node 7 with capacity 1,\nan edge from node 2 to node 8 with capacity 5,\nan edge from node 3 to node 1 with capacity 3,\nan edge from node 3 to node 5 with capacity 7,\nan edge from node 3 to node 7 with capacity 1,\nan edge from node 3 to node 0 with capacity 5,\nan edge from node 4 to node 2 with capacity 10,\nan edge from node 6 to node 5 with capacity 7,\nan edge from node 8 to node 1 with capacity 1,\nan edge from node 8 to node 5 with capacity 2,\nan edge from node 8 to node 3 with capacity 1,\nWhat is the maximum flow from node 3 to node 5:"
            },
            {
                "from": "gpt",
                "value": "13."
            }
        ]
    },
    {
        "id": "flow-easy-graph19",
        "image": "data/flow/graph_visual/easy/graph19.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge from node 0 to node 1 with capacity 4,\nan edge from node 1 to node 0 with capacity 9,\nan edge from node 2 to node 0 with capacity 3,\nan edge from node 3 to node 0 with capacity 1,\nan edge from node 4 to node 0 with capacity 8,\nan edge from node 4 to node 2 with capacity 8,\nan edge from node 4 to node 3 with capacity 5,\nWhat is the maximum flow from node 4 to node 1:"
            },
            {
                "from": "gpt",
                "value": "4."
            }
        ]
    },
    {
        "id": "flow-easy-graph190",
        "image": "data/flow/graph_visual/easy/graph190.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge from node 0 to node 6 with capacity 10,\nan edge from node 0 to node 2 with capacity 3,\nan edge from node 2 to node 4 with capacity 5,\nan edge from node 2 to node 7 with capacity 5,\nan edge from node 3 to node 4 with capacity 2,\nan edge from node 4 to node 7 with capacity 6,\nan edge from node 5 to node 0 with capacity 10,\nan edge from node 5 to node 7 with capacity 9,\nan edge from node 7 to node 5 with capacity 2,\nWhat is the maximum flow from node 5 to node 7:"
            },
            {
                "from": "gpt",
                "value": "12."
            }
        ]
    },
    {
        "id": "flow-easy-graph30",
        "image": "data/flow/graph_visual/easy/graph30.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge from node 1 to node 3 with capacity 6,\nan edge from node 1 to node 4 with capacity 6,\nan edge from node 2 to node 3 with capacity 7,\nan edge from node 2 to node 1 with capacity 1,\nan edge from node 2 to node 4 with capacity 5,\nan edge from node 3 to node 0 with capacity 1,\nan edge from node 3 to node 1 with capacity 8,\nan edge from node 4 to node 3 with capacity 3,\nan edge from node 4 to node 2 with capacity 1,\nWhat is the maximum flow from node 4 to node 3:"
            },
            {
                "from": "gpt",
                "value": "4."
            }
        ]
    },
    {
        "id": "flow-easy-graph69",
        "image": "data/flow/graph_visual/easy/graph69.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge from node 0 to node 4 with capacity 3,\nan edge from node 1 to node 4 with capacity 4,\nan edge from node 1 to node 3 with capacity 9,\nan edge from node 2 to node 4 with capacity 2,\nan edge from node 2 to node 3 with capacity 9,\nan edge from node 4 to node 2 with capacity 1,\nan edge from node 4 to node 3 with capacity 6,\nan edge from node 4 to node 0 with capacity 2,\nan edge from node 5 to node 4 with capacity 9,\nan edge from node 5 to node 3 with capacity 7,\nWhat is the maximum flow from node 1 to node 3:"
            },
            {
                "from": "gpt",
                "value": "13."
            }
        ]
    },
    {
        "id": "flow-easy-graph111",
        "image": "data/flow/graph_visual/easy/graph111.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge from node 0 to node 6 with capacity 3,\nan edge from node 0 to node 1 with capacity 7,\nan edge from node 1 to node 0 with capacity 7,\nan edge from node 2 to node 4 with capacity 6,\nan edge from node 2 to node 0 with capacity 8,\nan edge from node 3 to node 5 with capacity 2,\nan edge from node 4 to node 6 with capacity 3,\nan edge from node 5 to node 1 with capacity 6,\nan edge from node 5 to node 2 with capacity 6,\nan edge from node 5 to node 4 with capacity 1,\nan edge from node 5 to node 0 with capacity 4,\nWhat is the maximum flow from node 3 to node 0:"
            },
            {
                "from": "gpt",
                "value": "2."
            }
        ]
    },
    {
        "id": "flow-easy-graph98",
        "image": "data/flow/graph_visual/easy/graph98.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge from node 0 to node 4 with capacity 2,\nan edge from node 0 to node 5 with capacity 10,\nan edge from node 0 to node 2 with capacity 1,\nan edge from node 1 to node 3 with capacity 4,\nan edge from node 2 to node 3 with capacity 3,\nan edge from node 2 to node 4 with capacity 2,\nan edge from node 2 to node 1 with capacity 1,\nan edge from node 2 to node 5 with capacity 8,\nan edge from node 2 to node 0 with capacity 5,\nan edge from node 3 to node 5 with capacity 6,\nan edge from node 4 to node 1 with capacity 8,\nan edge from node 4 to node 5 with capacity 2,\nan edge from node 5 to node 3 with capacity 9,\nan edge from node 5 to node 1 with capacity 1,\nan edge from node 5 to node 0 with capacity 3,\nan edge from node 5 to node 2 with capacity 5,\nWhat is the maximum flow from node 1 to node 4:"
            },
            {
                "from": "gpt",
                "value": "4."
            }
        ]
    },
    {
        "id": "flow-easy-graph37",
        "image": "data/flow/graph_visual/easy/graph37.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge from node 0 to node 2 with capacity 2,\nan edge from node 0 to node 1 with capacity 1,\nan edge from node 0 to node 4 with capacity 3,\nan edge from node 0 to node 3 with capacity 1,\nan edge from node 1 to node 2 with capacity 10,\nan edge from node 1 to node 3 with capacity 8,\nan edge from node 2 to node 0 with capacity 7,\nan edge from node 2 to node 1 with capacity 4,\nan edge from node 3 to node 2 with capacity 3,\nan edge from node 3 to node 0 with capacity 3,\nan edge from node 4 to node 0 with capacity 10,\nan edge from node 4 to node 1 with capacity 7,\nWhat is the maximum flow from node 3 to node 2:"
            },
            {
                "from": "gpt",
                "value": "6."
            }
        ]
    },
    {
        "id": "flow-easy-graph260",
        "image": "data/flow/graph_visual/easy/graph260.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge from node 0 to node 8 with capacity 9,\nan edge from node 1 to node 8 with capacity 3,\nan edge from node 1 to node 4 with capacity 4,\nan edge from node 2 to node 6 with capacity 9,\nan edge from node 2 to node 8 with capacity 8,\nan edge from node 2 to node 7 with capacity 2,\nan edge from node 3 to node 5 with capacity 2,\nan edge from node 3 to node 0 with capacity 6,\nan edge from node 3 to node 1 with capacity 3,\nan edge from node 4 to node 0 with capacity 7,\nan edge from node 5 to node 2 with capacity 7,\nan edge from node 5 to node 0 with capacity 9,\nan edge from node 6 to node 3 with capacity 6,\nan edge from node 7 to node 1 with capacity 2,\nan edge from node 8 to node 2 with capacity 1,\nan edge from node 9 to node 5 with capacity 3,\nan edge from node 9 to node 4 with capacity 5,\nan edge from node 9 to node 3 with capacity 4,\nan edge from node 9 to node 7 with capacity 5,\nWhat is the maximum flow from node 2 to node 0:"
            },
            {
                "from": "gpt",
                "value": "8."
            }
        ]
    },
    {
        "id": "flow-easy-graph41",
        "image": "data/flow/graph_visual/easy/graph41.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge from node 0 to node 2 with capacity 1,\nan edge from node 1 to node 0 with capacity 2,\nan edge from node 1 to node 2 with capacity 9,\nan edge from node 1 to node 3 with capacity 3,\nan edge from node 2 to node 1 with capacity 1,\nan edge from node 2 to node 4 with capacity 9,\nan edge from node 2 to node 3 with capacity 5,\nan edge from node 3 to node 1 with capacity 10,\nWhat is the maximum flow from node 1 to node 3:"
            },
            {
                "from": "gpt",
                "value": "8."
            }
        ]
    },
    {
        "id": "flow-easy-graph131",
        "image": "data/flow/graph_visual/easy/graph131.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge from node 0 to node 6 with capacity 6,\nan edge from node 1 to node 2 with capacity 1,\nan edge from node 1 to node 0 with capacity 2,\nan edge from node 2 to node 1 with capacity 5,\nan edge from node 2 to node 4 with capacity 1,\nan edge from node 3 to node 1 with capacity 3,\nan edge from node 4 to node 6 with capacity 10,\nan edge from node 4 to node 3 with capacity 8,\nan edge from node 5 to node 6 with capacity 1,\nan edge from node 6 to node 4 with capacity 2,\nan edge from node 6 to node 3 with capacity 1,\nWhat is the maximum flow from node 2 to node 3:"
            },
            {
                "from": "gpt",
                "value": "3."
            }
        ]
    },
    {
        "id": "flow-easy-graph160",
        "image": "data/flow/graph_visual/easy/graph160.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge from node 0 to node 6 with capacity 8,\nan edge from node 1 to node 5 with capacity 3,\nan edge from node 1 to node 2 with capacity 3,\nan edge from node 2 to node 6 with capacity 8,\nan edge from node 2 to node 1 with capacity 3,\nan edge from node 3 to node 4 with capacity 1,\nan edge from node 4 to node 6 with capacity 8,\nan edge from node 4 to node 3 with capacity 1,\nan edge from node 4 to node 2 with capacity 4,\nan edge from node 5 to node 0 with capacity 5,\nan edge from node 6 to node 5 with capacity 6,\nan edge from node 6 to node 2 with capacity 9,\nan edge from node 7 to node 0 with capacity 9,\nWhat is the maximum flow from node 3 to node 5:"
            },
            {
                "from": "gpt",
                "value": "1."
            }
        ]
    },
    {
        "id": "flow-easy-graph263",
        "image": "data/flow/graph_visual/easy/graph263.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge from node 0 to node 7 with capacity 9,\nan edge from node 0 to node 9 with capacity 10,\nan edge from node 1 to node 6 with capacity 8,\nan edge from node 1 to node 8 with capacity 2,\nan edge from node 1 to node 4 with capacity 3,\nan edge from node 2 to node 7 with capacity 4,\nan edge from node 2 to node 9 with capacity 10,\nan edge from node 2 to node 8 with capacity 2,\nan edge from node 3 to node 7 with capacity 10,\nan edge from node 3 to node 2 with capacity 3,\nan edge from node 3 to node 1 with capacity 3,\nan edge from node 3 to node 8 with capacity 2,\nan edge from node 4 to node 2 with capacity 3,\nan edge from node 4 to node 9 with capacity 10,\nan edge from node 4 to node 3 with capacity 1,\nan edge from node 5 to node 7 with capacity 7,\nan edge from node 6 to node 1 with capacity 1,\nan edge from node 7 to node 6 with capacity 4,\nan edge from node 7 to node 1 with capacity 7,\nan edge from node 8 to node 2 with capacity 9,\nan edge from node 9 to node 6 with capacity 8,\nan edge from node 9 to node 2 with capacity 4,\nan edge from node 9 to node 0 with capacity 3,\nan edge from node 9 to node 1 with capacity 3,\nan edge from node 9 to node 8 with capacity 10,\nWhat is the maximum flow from node 4 to node 2:"
            },
            {
                "from": "gpt",
                "value": "14."
            }
        ]
    },
    {
        "id": "flow-easy-graph186",
        "image": "data/flow/graph_visual/easy/graph186.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge from node 0 to node 5 with capacity 1,\nan edge from node 0 to node 1 with capacity 3,\nan edge from node 1 to node 2 with capacity 10,\nan edge from node 1 to node 6 with capacity 7,\nan edge from node 2 to node 3 with capacity 10,\nan edge from node 2 to node 4 with capacity 2,\nan edge from node 2 to node 1 with capacity 2,\nan edge from node 3 to node 7 with capacity 5,\nan edge from node 3 to node 4 with capacity 10,\nan edge from node 4 to node 2 with capacity 5,\nan edge from node 4 to node 0 with capacity 3,\nan edge from node 5 to node 4 with capacity 1,\nan edge from node 5 to node 6 with capacity 5,\nan edge from node 6 to node 0 with capacity 8,\nan edge from node 6 to node 1 with capacity 4,\nWhat is the maximum flow from node 0 to node 2:"
            },
            {
                "from": "gpt",
                "value": "4."
            }
        ]
    },
    {
        "id": "flow-easy-graph71",
        "image": "data/flow/graph_visual/easy/graph71.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge from node 1 to node 3 with capacity 6,\nan edge from node 1 to node 0 with capacity 9,\nan edge from node 2 to node 1 with capacity 4,\nan edge from node 3 to node 1 with capacity 4,\nan edge from node 4 to node 3 with capacity 1,\nan edge from node 4 to node 5 with capacity 2,\nan edge from node 5 to node 1 with capacity 4,\nan edge from node 5 to node 0 with capacity 7,\nWhat is the maximum flow from node 4 to node 0:"
            },
            {
                "from": "gpt",
                "value": "3."
            }
        ]
    },
    {
        "id": "flow-easy-graph76",
        "image": "data/flow/graph_visual/easy/graph76.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge from node 0 to node 3 with capacity 8,\nan edge from node 0 to node 4 with capacity 5,\nan edge from node 1 to node 3 with capacity 7,\nan edge from node 1 to node 4 with capacity 4,\nan edge from node 2 to node 1 with capacity 3,\nan edge from node 2 to node 4 with capacity 4,\nan edge from node 3 to node 5 with capacity 7,\nan edge from node 4 to node 3 with capacity 9,\nan edge from node 4 to node 1 with capacity 5,\nan edge from node 5 to node 1 with capacity 2,\nan edge from node 5 to node 4 with capacity 2,\nWhat is the maximum flow from node 5 to node 3:"
            },
            {
                "from": "gpt",
                "value": "4."
            }
        ]
    },
    {
        "id": "flow-easy-graph200",
        "image": "data/flow/graph_visual/easy/graph200.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 0 to node 4 with capacity 7,\nan edge from node 0 to node 3 with capacity 6,\nan edge from node 2 to node 7 with capacity 8,\nan edge from node 2 to node 8 with capacity 2,\nan edge from node 2 to node 1 with capacity 6,\nan edge from node 3 to node 8 with capacity 9,\nan edge from node 3 to node 1 with capacity 3,\nan edge from node 5 to node 2 with capacity 6,\nan edge from node 5 to node 4 with capacity 7,\nan edge from node 5 to node 3 with capacity 5,\nan edge from node 6 to node 3 with capacity 10,\nan edge from node 7 to node 2 with capacity 6,\nan edge from node 7 to node 4 with capacity 1,\nan edge from node 7 to node 1 with capacity 6,\nan edge from node 8 to node 4 with capacity 7,\nan edge from node 8 to node 0 with capacity 10,\nWhat is the maximum flow from node 5 to node 4:"
            },
            {
                "from": "gpt",
                "value": "15."
            }
        ]
    },
    {
        "id": "flow-easy-graph117",
        "image": "data/flow/graph_visual/easy/graph117.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge from node 1 to node 5 with capacity 2,\nan edge from node 1 to node 0 with capacity 4,\nan edge from node 2 to node 5 with capacity 10,\nan edge from node 2 to node 4 with capacity 5,\nan edge from node 2 to node 3 with capacity 3,\nan edge from node 2 to node 1 with capacity 6,\nan edge from node 2 to node 6 with capacity 9,\nan edge from node 3 to node 5 with capacity 10,\nan edge from node 3 to node 4 with capacity 8,\nan edge from node 3 to node 0 with capacity 7,\nan edge from node 4 to node 2 with capacity 10,\nan edge from node 4 to node 0 with capacity 1,\nan edge from node 5 to node 2 with capacity 2,\nan edge from node 5 to node 0 with capacity 3,\nan edge from node 5 to node 3 with capacity 2,\nan edge from node 6 to node 5 with capacity 10,\nWhat is the maximum flow from node 2 to node 3:"
            },
            {
                "from": "gpt",
                "value": "5."
            }
        ]
    },
    {
        "id": "flow-easy-graph21",
        "image": "data/flow/graph_visual/easy/graph21.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge from node 0 to node 2 with capacity 2,\nan edge from node 1 to node 3 with capacity 3,\nan edge from node 1 to node 0 with capacity 10,\nan edge from node 1 to node 4 with capacity 5,\nan edge from node 2 to node 1 with capacity 9,\nan edge from node 2 to node 4 with capacity 10,\nan edge from node 3 to node 0 with capacity 6,\nan edge from node 4 to node 1 with capacity 8,\nan edge from node 4 to node 2 with capacity 2,\nWhat is the maximum flow from node 4 to node 0:"
            },
            {
                "from": "gpt",
                "value": "10."
            }
        ]
    },
    {
        "id": "flow-easy-graph223",
        "image": "data/flow/graph_visual/easy/graph223.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 0 to node 2 with capacity 9,\nan edge from node 0 to node 8 with capacity 1,\nan edge from node 1 to node 8 with capacity 5,\nan edge from node 2 to node 8 with capacity 9,\nan edge from node 2 to node 3 with capacity 9,\nan edge from node 2 to node 7 with capacity 2,\nan edge from node 4 to node 6 with capacity 10,\nan edge from node 4 to node 8 with capacity 5,\nan edge from node 5 to node 6 with capacity 7,\nan edge from node 5 to node 8 with capacity 2,\nan edge from node 6 to node 8 with capacity 3,\nan edge from node 7 to node 3 with capacity 7,\nan edge from node 8 to node 2 with capacity 5,\nan edge from node 8 to node 3 with capacity 3,\nWhat is the maximum flow from node 8 to node 3:"
            },
            {
                "from": "gpt",
                "value": "8."
            }
        ]
    },
    {
        "id": "flow-easy-graph234",
        "image": "data/flow/graph_visual/easy/graph234.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 0 to node 4 with capacity 10,\nan edge from node 0 to node 7 with capacity 6,\nan edge from node 2 to node 6 with capacity 9,\nan edge from node 3 to node 2 with capacity 2,\nan edge from node 4 to node 5 with capacity 10,\nan edge from node 6 to node 4 with capacity 3,\nan edge from node 7 to node 4 with capacity 1,\nan edge from node 7 to node 0 with capacity 8,\nan edge from node 7 to node 1 with capacity 9,\nan edge from node 8 to node 5 with capacity 9,\nan edge from node 8 to node 3 with capacity 8,\nan edge from node 8 to node 7 with capacity 9,\nWhat is the maximum flow from node 8 to node 5:"
            },
            {
                "from": "gpt",
                "value": "19."
            }
        ]
    },
    {
        "id": "flow-easy-graph242",
        "image": "data/flow/graph_visual/easy/graph242.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 0 to node 6 with capacity 2,\nan edge from node 1 to node 2 with capacity 8,\nan edge from node 3 to node 6 with capacity 9,\nan edge from node 3 to node 5 with capacity 1,\nan edge from node 3 to node 2 with capacity 8,\nan edge from node 3 to node 4 with capacity 7,\nan edge from node 4 to node 1 with capacity 1,\nan edge from node 4 to node 7 with capacity 5,\nan edge from node 5 to node 3 with capacity 6,\nan edge from node 6 to node 4 with capacity 7,\nan edge from node 7 to node 0 with capacity 10,\nan edge from node 8 to node 6 with capacity 10,\nan edge from node 8 to node 5 with capacity 3,\nWhat is the maximum flow from node 3 to node 2:"
            },
            {
                "from": "gpt",
                "value": "9."
            }
        ]
    },
    {
        "id": "flow-easy-graph135",
        "image": "data/flow/graph_visual/easy/graph135.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge from node 0 to node 5 with capacity 3,\nan edge from node 0 to node 2 with capacity 1,\nan edge from node 0 to node 6 with capacity 4,\nan edge from node 1 to node 4 with capacity 4,\nan edge from node 2 to node 6 with capacity 1,\nan edge from node 3 to node 4 with capacity 4,\nan edge from node 3 to node 1 with capacity 4,\nan edge from node 3 to node 2 with capacity 8,\nan edge from node 3 to node 6 with capacity 2,\nan edge from node 3 to node 0 with capacity 4,\nan edge from node 4 to node 3 with capacity 1,\nan edge from node 4 to node 1 with capacity 2,\nan edge from node 4 to node 0 with capacity 8,\nan edge from node 6 to node 5 with capacity 7,\nan edge from node 6 to node 3 with capacity 3,\nWhat is the maximum flow from node 2 to node 5:"
            },
            {
                "from": "gpt",
                "value": "1."
            }
        ]
    },
    {
        "id": "flow-easy-graph268",
        "image": "data/flow/graph_visual/easy/graph268.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge from node 0 to node 4 with capacity 1,\nan edge from node 0 to node 1 with capacity 3,\nan edge from node 0 to node 7 with capacity 2,\nan edge from node 1 to node 4 with capacity 7,\nan edge from node 1 to node 9 with capacity 4,\nan edge from node 1 to node 5 with capacity 2,\nan edge from node 2 to node 1 with capacity 4,\nan edge from node 2 to node 8 with capacity 2,\nan edge from node 2 to node 7 with capacity 6,\nan edge from node 3 to node 0 with capacity 7,\nan edge from node 3 to node 7 with capacity 2,\nan edge from node 4 to node 0 with capacity 2,\nan edge from node 4 to node 6 with capacity 4,\nan edge from node 6 to node 5 with capacity 10,\nan edge from node 6 to node 8 with capacity 5,\nan edge from node 8 to node 6 with capacity 9,\nan edge from node 9 to node 4 with capacity 5,\nWhat is the maximum flow from node 2 to node 5:"
            },
            {
                "from": "gpt",
                "value": "6."
            }
        ]
    },
    {
        "id": "flow-easy-graph197",
        "image": "data/flow/graph_visual/easy/graph197.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge from node 1 to node 7 with capacity 5,\nan edge from node 1 to node 4 with capacity 6,\nan edge from node 2 to node 5 with capacity 4,\nan edge from node 2 to node 0 with capacity 4,\nan edge from node 4 to node 0 with capacity 1,\nan edge from node 5 to node 6 with capacity 10,\nan edge from node 5 to node 0 with capacity 5,\nan edge from node 7 to node 6 with capacity 6,\nan edge from node 7 to node 2 with capacity 3,\nan edge from node 7 to node 5 with capacity 4,\nWhat is the maximum flow from node 1 to node 6:"
            },
            {
                "from": "gpt",
                "value": "5."
            }
        ]
    },
    {
        "id": "flow-easy-graph238",
        "image": "data/flow/graph_visual/easy/graph238.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 0 to node 8 with capacity 6,\nan edge from node 1 to node 2 with capacity 10,\nan edge from node 2 to node 5 with capacity 7,\nan edge from node 3 to node 7 with capacity 4,\nan edge from node 3 to node 6 with capacity 10,\nan edge from node 3 to node 4 with capacity 2,\nan edge from node 3 to node 8 with capacity 3,\nan edge from node 4 to node 0 with capacity 10,\nan edge from node 4 to node 3 with capacity 7,\nan edge from node 5 to node 8 with capacity 5,\nan edge from node 6 to node 5 with capacity 10,\nan edge from node 6 to node 4 with capacity 7,\nan edge from node 8 to node 2 with capacity 8,\nan edge from node 8 to node 3 with capacity 1,\nWhat is the maximum flow from node 6 to node 8:"
            },
            {
                "from": "gpt",
                "value": "12."
            }
        ]
    },
    {
        "id": "flow-easy-graph240",
        "image": "data/flow/graph_visual/easy/graph240.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 1 to node 3 with capacity 4,\nan edge from node 1 to node 5 with capacity 9,\nan edge from node 2 to node 8 with capacity 4,\nan edge from node 3 to node 8 with capacity 9,\nan edge from node 3 to node 6 with capacity 5,\nan edge from node 3 to node 4 with capacity 5,\nan edge from node 4 to node 8 with capacity 5,\nan edge from node 4 to node 1 with capacity 3,\nan edge from node 5 to node 2 with capacity 8,\nan edge from node 5 to node 1 with capacity 1,\nan edge from node 6 to node 7 with capacity 4,\nan edge from node 7 to node 2 with capacity 3,\nan edge from node 8 to node 0 with capacity 10,\nan edge from node 8 to node 4 with capacity 10,\nWhat is the maximum flow from node 5 to node 4:"
            },
            {
                "from": "gpt",
                "value": "5."
            }
        ]
    },
    {
        "id": "flow-easy-graph43",
        "image": "data/flow/graph_visual/easy/graph43.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge from node 0 to node 1 with capacity 8,\nan edge from node 1 to node 3 with capacity 1,\nan edge from node 2 to node 3 with capacity 10,\nan edge from node 3 to node 0 with capacity 3,\nan edge from node 3 to node 2 with capacity 2,\nan edge from node 4 to node 0 with capacity 3,\nan edge from node 4 to node 1 with capacity 2,\nan edge from node 4 to node 2 with capacity 3,\nWhat is the maximum flow from node 4 to node 3:"
            },
            {
                "from": "gpt",
                "value": "4."
            }
        ]
    },
    {
        "id": "flow-easy-graph23",
        "image": "data/flow/graph_visual/easy/graph23.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge from node 0 to node 4 with capacity 4,\nan edge from node 1 to node 4 with capacity 8,\nan edge from node 2 to node 4 with capacity 10,\nan edge from node 2 to node 0 with capacity 5,\nan edge from node 3 to node 0 with capacity 9,\nan edge from node 4 to node 3 with capacity 5,\nan edge from node 4 to node 0 with capacity 7,\nWhat is the maximum flow from node 2 to node 0:"
            },
            {
                "from": "gpt",
                "value": "15."
            }
        ]
    },
    {
        "id": "flow-easy-graph170",
        "image": "data/flow/graph_visual/easy/graph170.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge from node 0 to node 3 with capacity 1,\nan edge from node 0 to node 6 with capacity 9,\nan edge from node 1 to node 4 with capacity 6,\nan edge from node 1 to node 6 with capacity 1,\nan edge from node 2 to node 4 with capacity 10,\nan edge from node 3 to node 5 with capacity 7,\nan edge from node 3 to node 1 with capacity 8,\nan edge from node 3 to node 6 with capacity 8,\nan edge from node 4 to node 1 with capacity 8,\nan edge from node 4 to node 2 with capacity 2,\nan edge from node 5 to node 6 with capacity 4,\nan edge from node 6 to node 3 with capacity 5,\nan edge from node 6 to node 1 with capacity 9,\nan edge from node 7 to node 4 with capacity 5,\nWhat is the maximum flow from node 0 to node 2:"
            },
            {
                "from": "gpt",
                "value": "2."
            }
        ]
    },
    {
        "id": "flow-easy-graph193",
        "image": "data/flow/graph_visual/easy/graph193.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge from node 0 to node 7 with capacity 3,\nan edge from node 0 to node 4 with capacity 10,\nan edge from node 0 to node 3 with capacity 10,\nan edge from node 1 to node 5 with capacity 6,\nan edge from node 3 to node 5 with capacity 3,\nan edge from node 3 to node 7 with capacity 2,\nan edge from node 3 to node 1 with capacity 3,\nan edge from node 4 to node 0 with capacity 9,\nan edge from node 5 to node 6 with capacity 5,\nan edge from node 7 to node 5 with capacity 9,\nan edge from node 7 to node 4 with capacity 6,\nWhat is the maximum flow from node 3 to node 5:"
            },
            {
                "from": "gpt",
                "value": "8."
            }
        ]
    },
    {
        "id": "flow-easy-graph177",
        "image": "data/flow/graph_visual/easy/graph177.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge from node 0 to node 5 with capacity 3,\nan edge from node 1 to node 6 with capacity 6,\nan edge from node 1 to node 0 with capacity 2,\nan edge from node 2 to node 4 with capacity 10,\nan edge from node 2 to node 1 with capacity 7,\nan edge from node 3 to node 7 with capacity 10,\nan edge from node 4 to node 0 with capacity 2,\nan edge from node 4 to node 3 with capacity 7,\nan edge from node 5 to node 7 with capacity 4,\nan edge from node 5 to node 3 with capacity 7,\nan edge from node 6 to node 2 with capacity 1,\nan edge from node 6 to node 4 with capacity 5,\nWhat is the maximum flow from node 4 to node 7:"
            },
            {
                "from": "gpt",
                "value": "9."
            }
        ]
    },
    {
        "id": "flow-easy-graph152",
        "image": "data/flow/graph_visual/easy/graph152.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge from node 0 to node 1 with capacity 1,\nan edge from node 0 to node 7 with capacity 3,\nan edge from node 1 to node 3 with capacity 10,\nan edge from node 1 to node 5 with capacity 4,\nan edge from node 2 to node 6 with capacity 4,\nan edge from node 3 to node 4 with capacity 10,\nan edge from node 3 to node 7 with capacity 3,\nan edge from node 4 to node 5 with capacity 6,\nan edge from node 4 to node 1 with capacity 5,\nan edge from node 4 to node 7 with capacity 2,\nan edge from node 5 to node 2 with capacity 5,\nan edge from node 6 to node 5 with capacity 2,\nWhat is the maximum flow from node 0 to node 7:"
            },
            {
                "from": "gpt",
                "value": "4."
            }
        ]
    },
    {
        "id": "flow-easy-graph49",
        "image": "data/flow/graph_visual/easy/graph49.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge from node 1 to node 3 with capacity 8,\nan edge from node 1 to node 4 with capacity 7,\nan edge from node 1 to node 2 with capacity 9,\nan edge from node 2 to node 3 with capacity 8,\nan edge from node 2 to node 1 with capacity 5,\nan edge from node 3 to node 2 with capacity 7,\nan edge from node 4 to node 3 with capacity 9,\nWhat is the maximum flow from node 2 to node 3:"
            },
            {
                "from": "gpt",
                "value": "13."
            }
        ]
    },
    {
        "id": "flow-easy-graph133",
        "image": "data/flow/graph_visual/easy/graph133.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge from node 0 to node 5 with capacity 3,\nan edge from node 3 to node 0 with capacity 10,\nan edge from node 3 to node 2 with capacity 5,\nan edge from node 4 to node 5 with capacity 3,\nan edge from node 4 to node 6 with capacity 4,\nan edge from node 4 to node 2 with capacity 8,\nan edge from node 5 to node 6 with capacity 8,\nan edge from node 5 to node 2 with capacity 4,\nan edge from node 6 to node 5 with capacity 3,\nan edge from node 6 to node 0 with capacity 9,\nWhat is the maximum flow from node 4 to node 5:"
            },
            {
                "from": "gpt",
                "value": "7."
            }
        ]
    },
    {
        "id": "flow-easy-graph142",
        "image": "data/flow/graph_visual/easy/graph142.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge from node 0 to node 2 with capacity 7,\nan edge from node 0 to node 1 with capacity 5,\nan edge from node 0 to node 5 with capacity 4,\nan edge from node 0 to node 4 with capacity 8,\nan edge from node 1 to node 5 with capacity 3,\nan edge from node 1 to node 4 with capacity 7,\nan edge from node 2 to node 4 with capacity 4,\nan edge from node 4 to node 0 with capacity 8,\nan edge from node 5 to node 2 with capacity 2,\nan edge from node 6 to node 1 with capacity 3,\nan edge from node 6 to node 4 with capacity 7,\nWhat is the maximum flow from node 6 to node 0:"
            },
            {
                "from": "gpt",
                "value": "8."
            }
        ]
    },
    {
        "id": "flow-easy-graph269",
        "image": "data/flow/graph_visual/easy/graph269.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge from node 0 to node 5 with capacity 6,\nan edge from node 0 to node 6 with capacity 7,\nan edge from node 0 to node 3 with capacity 1,\nan edge from node 2 to node 9 with capacity 3,\nan edge from node 4 to node 3 with capacity 7,\nan edge from node 5 to node 2 with capacity 9,\nan edge from node 5 to node 1 with capacity 2,\nan edge from node 6 to node 8 with capacity 6,\nan edge from node 6 to node 7 with capacity 10,\nan edge from node 7 to node 3 with capacity 6,\nan edge from node 8 to node 3 with capacity 8,\nan edge from node 8 to node 1 with capacity 7,\nan edge from node 9 to node 0 with capacity 5,\nWhat is the maximum flow from node 9 to node 3:"
            },
            {
                "from": "gpt",
                "value": "5."
            }
        ]
    },
    {
        "id": "flow-easy-graph2",
        "image": "data/flow/graph_visual/easy/graph2.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge from node 0 to node 1 with capacity 6,\nan edge from node 0 to node 4 with capacity 10,\nan edge from node 1 to node 2 with capacity 1,\nan edge from node 1 to node 3 with capacity 9,\nan edge from node 1 to node 0 with capacity 7,\nan edge from node 2 to node 4 with capacity 7,\nan edge from node 3 to node 0 with capacity 7,\nan edge from node 3 to node 4 with capacity 3,\nan edge from node 4 to node 2 with capacity 9,\nWhat is the maximum flow from node 3 to node 2:"
            },
            {
                "from": "gpt",
                "value": "10."
            }
        ]
    },
    {
        "id": "flow-easy-graph191",
        "image": "data/flow/graph_visual/easy/graph191.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge from node 0 to node 5 with capacity 7,\nan edge from node 0 to node 7 with capacity 1,\nan edge from node 0 to node 3 with capacity 7,\nan edge from node 1 to node 4 with capacity 4,\nan edge from node 1 to node 0 with capacity 2,\nan edge from node 1 to node 6 with capacity 7,\nan edge from node 3 to node 4 with capacity 3,\nan edge from node 3 to node 1 with capacity 3,\nan edge from node 4 to node 3 with capacity 10,\nan edge from node 5 to node 6 with capacity 9,\nan edge from node 5 to node 3 with capacity 5,\nan edge from node 6 to node 1 with capacity 4,\nan edge from node 6 to node 3 with capacity 9,\nan edge from node 7 to node 1 with capacity 2,\nan edge from node 7 to node 2 with capacity 7,\nan edge from node 7 to node 3 with capacity 5,\nWhat is the maximum flow from node 7 to node 4:"
            },
            {
                "from": "gpt",
                "value": "7."
            }
        ]
    },
    {
        "id": "flow-easy-graph1",
        "image": "data/flow/graph_visual/easy/graph1.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge from node 0 to node 3 with capacity 5,\nan edge from node 1 to node 0 with capacity 3,\nan edge from node 2 to node 1 with capacity 7,\nan edge from node 3 to node 0 with capacity 6,\nan edge from node 3 to node 2 with capacity 10,\nan edge from node 4 to node 0 with capacity 5,\nan edge from node 4 to node 3 with capacity 10,\nWhat is the maximum flow from node 4 to node 0:"
            },
            {
                "from": "gpt",
                "value": "14."
            }
        ]
    },
    {
        "id": "flow-easy-graph65",
        "image": "data/flow/graph_visual/easy/graph65.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge from node 0 to node 5 with capacity 1,\nan edge from node 0 to node 2 with capacity 5,\nan edge from node 1 to node 3 with capacity 8,\nan edge from node 2 to node 1 with capacity 4,\nan edge from node 4 to node 3 with capacity 4,\nan edge from node 4 to node 5 with capacity 10,\nan edge from node 4 to node 1 with capacity 3,\nan edge from node 5 to node 3 with capacity 7,\nWhat is the maximum flow from node 4 to node 3:"
            },
            {
                "from": "gpt",
                "value": "14."
            }
        ]
    },
    {
        "id": "flow-easy-graph209",
        "image": "data/flow/graph_visual/easy/graph209.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 0 to node 6 with capacity 10,\nan edge from node 0 to node 1 with capacity 2,\nan edge from node 1 to node 3 with capacity 3,\nan edge from node 1 to node 2 with capacity 1,\nan edge from node 1 to node 0 with capacity 5,\nan edge from node 1 to node 7 with capacity 3,\nan edge from node 2 to node 5 with capacity 10,\nan edge from node 3 to node 2 with capacity 10,\nan edge from node 3 to node 7 with capacity 4,\nan edge from node 4 to node 2 with capacity 6,\nan edge from node 4 to node 5 with capacity 1,\nan edge from node 6 to node 3 with capacity 9,\nan edge from node 6 to node 0 with capacity 4,\nan edge from node 6 to node 5 with capacity 9,\nan edge from node 7 to node 3 with capacity 8,\nan edge from node 7 to node 1 with capacity 7,\nan edge from node 7 to node 2 with capacity 7,\nan edge from node 8 to node 0 with capacity 6,\nan edge from node 8 to node 5 with capacity 3,\nWhat is the maximum flow from node 0 to node 7:"
            },
            {
                "from": "gpt",
                "value": "6."
            }
        ]
    },
    {
        "id": "flow-easy-graph12",
        "image": "data/flow/graph_visual/easy/graph12.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge from node 0 to node 1 with capacity 2,\nan edge from node 2 to node 4 with capacity 9,\nan edge from node 2 to node 1 with capacity 8,\nan edge from node 3 to node 0 with capacity 1,\nan edge from node 4 to node 3 with capacity 10,\nan edge from node 4 to node 0 with capacity 5,\nWhat is the maximum flow from node 2 to node 1:"
            },
            {
                "from": "gpt",
                "value": "10."
            }
        ]
    },
    {
        "id": "flow-easy-graph148",
        "image": "data/flow/graph_visual/easy/graph148.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge from node 0 to node 6 with capacity 10,\nan edge from node 0 to node 5 with capacity 6,\nan edge from node 1 to node 0 with capacity 8,\nan edge from node 1 to node 6 with capacity 1,\nan edge from node 1 to node 3 with capacity 9,\nan edge from node 2 to node 1 with capacity 9,\nan edge from node 4 to node 6 with capacity 1,\nan edge from node 5 to node 1 with capacity 8,\nan edge from node 6 to node 0 with capacity 6,\nan edge from node 6 to node 2 with capacity 9,\nan edge from node 6 to node 5 with capacity 3,\nWhat is the maximum flow from node 0 to node 3:"
            },
            {
                "from": "gpt",
                "value": "9."
            }
        ]
    },
    {
        "id": "flow-easy-graph123",
        "image": "data/flow/graph_visual/easy/graph123.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge from node 0 to node 3 with capacity 2,\nan edge from node 0 to node 6 with capacity 10,\nan edge from node 1 to node 2 with capacity 2,\nan edge from node 1 to node 5 with capacity 9,\nan edge from node 1 to node 4 with capacity 8,\nan edge from node 2 to node 5 with capacity 4,\nan edge from node 2 to node 0 with capacity 3,\nan edge from node 2 to node 6 with capacity 3,\nan edge from node 3 to node 1 with capacity 7,\nan edge from node 5 to node 3 with capacity 6,\nan edge from node 5 to node 6 with capacity 6,\nan edge from node 6 to node 2 with capacity 3,\nan edge from node 6 to node 1 with capacity 5,\nan edge from node 6 to node 0 with capacity 2,\nan edge from node 6 to node 3 with capacity 10,\nan edge from node 6 to node 4 with capacity 1,\nWhat is the maximum flow from node 6 to node 3:"
            },
            {
                "from": "gpt",
                "value": "18."
            }
        ]
    },
    {
        "id": "flow-easy-graph13",
        "image": "data/flow/graph_visual/easy/graph13.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge from node 0 to node 1 with capacity 1,\nan edge from node 0 to node 2 with capacity 9,\nan edge from node 1 to node 3 with capacity 6,\nan edge from node 1 to node 4 with capacity 2,\nan edge from node 1 to node 0 with capacity 1,\nan edge from node 1 to node 2 with capacity 3,\nan edge from node 3 to node 0 with capacity 1,\nan edge from node 4 to node 0 with capacity 3,\nWhat is the maximum flow from node 1 to node 0:"
            },
            {
                "from": "gpt",
                "value": "4."
            }
        ]
    },
    {
        "id": "flow-easy-graph100",
        "image": "data/flow/graph_visual/easy/graph100.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge from node 0 to node 6 with capacity 3,\nan edge from node 0 to node 1 with capacity 4,\nan edge from node 0 to node 4 with capacity 7,\nan edge from node 0 to node 5 with capacity 2,\nan edge from node 1 to node 6 with capacity 8,\nan edge from node 1 to node 0 with capacity 6,\nan edge from node 1 to node 4 with capacity 9,\nan edge from node 2 to node 6 with capacity 7,\nan edge from node 2 to node 0 with capacity 5,\nan edge from node 2 to node 3 with capacity 5,\nan edge from node 3 to node 4 with capacity 2,\nan edge from node 3 to node 5 with capacity 1,\nan edge from node 4 to node 6 with capacity 7,\nan edge from node 4 to node 3 with capacity 6,\nan edge from node 5 to node 0 with capacity 9,\nan edge from node 5 to node 1 with capacity 6,\nan edge from node 5 to node 4 with capacity 2,\nan edge from node 6 to node 0 with capacity 10,\nan edge from node 6 to node 3 with capacity 7,\nan edge from node 6 to node 2 with capacity 2,\nan edge from node 6 to node 1 with capacity 9,\nWhat is the maximum flow from node 0 to node 3:"
            },
            {
                "from": "gpt",
                "value": "15."
            }
        ]
    },
    {
        "id": "flow-easy-graph40",
        "image": "data/flow/graph_visual/easy/graph40.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge from node 0 to node 1 with capacity 10,\nan edge from node 0 to node 2 with capacity 9,\nan edge from node 2 to node 1 with capacity 3,\nan edge from node 2 to node 0 with capacity 9,\nan edge from node 3 to node 0 with capacity 4,\nan edge from node 4 to node 2 with capacity 4,\nan edge from node 4 to node 0 with capacity 3,\nWhat is the maximum flow from node 4 to node 1:"
            },
            {
                "from": "gpt",
                "value": "7."
            }
        ]
    },
    {
        "id": "flow-easy-graph139",
        "image": "data/flow/graph_visual/easy/graph139.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge from node 1 to node 2 with capacity 3,\nan edge from node 1 to node 4 with capacity 3,\nan edge from node 1 to node 5 with capacity 7,\nan edge from node 1 to node 3 with capacity 9,\nan edge from node 2 to node 4 with capacity 7,\nan edge from node 3 to node 1 with capacity 6,\nan edge from node 3 to node 0 with capacity 2,\nan edge from node 4 to node 2 with capacity 10,\nan edge from node 4 to node 1 with capacity 3,\nan edge from node 4 to node 6 with capacity 5,\nan edge from node 4 to node 5 with capacity 7,\nan edge from node 4 to node 3 with capacity 5,\nan edge from node 4 to node 0 with capacity 1,\nan edge from node 5 to node 4 with capacity 1,\nan edge from node 5 to node 3 with capacity 5,\nan edge from node 6 to node 2 with capacity 5,\nan edge from node 6 to node 4 with capacity 6,\nan edge from node 6 to node 5 with capacity 3,\nan edge from node 6 to node 0 with capacity 10,\nWhat is the maximum flow from node 4 to node 5:"
            },
            {
                "from": "gpt",
                "value": "17."
            }
        ]
    },
    {
        "id": "flow-easy-graph224",
        "image": "data/flow/graph_visual/easy/graph224.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 0 to node 7 with capacity 4,\nan edge from node 0 to node 4 with capacity 9,\nan edge from node 1 to node 3 with capacity 5,\nan edge from node 1 to node 8 with capacity 5,\nan edge from node 2 to node 1 with capacity 3,\nan edge from node 2 to node 6 with capacity 8,\nan edge from node 2 to node 8 with capacity 7,\nan edge from node 3 to node 6 with capacity 8,\nan edge from node 3 to node 8 with capacity 6,\nan edge from node 4 to node 1 with capacity 1,\nan edge from node 4 to node 8 with capacity 3,\nan edge from node 5 to node 7 with capacity 10,\nan edge from node 5 to node 4 with capacity 5,\nan edge from node 6 to node 3 with capacity 2,\nan edge from node 6 to node 0 with capacity 1,\nan edge from node 6 to node 5 with capacity 2,\nan edge from node 6 to node 2 with capacity 10,\nan edge from node 7 to node 0 with capacity 7,\nan edge from node 7 to node 8 with capacity 1,\nan edge from node 8 to node 3 with capacity 6,\nan edge from node 8 to node 4 with capacity 10,\nWhat is the maximum flow from node 3 to node 4:"
            },
            {
                "from": "gpt",
                "value": "13."
            }
        ]
    },
    {
        "id": "flow-easy-graph112",
        "image": "data/flow/graph_visual/easy/graph112.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge from node 0 to node 5 with capacity 2,\nan edge from node 0 to node 4 with capacity 4,\nan edge from node 1 to node 0 with capacity 8,\nan edge from node 2 to node 3 with capacity 3,\nan edge from node 3 to node 4 with capacity 8,\nan edge from node 4 to node 2 with capacity 5,\nan edge from node 4 to node 0 with capacity 6,\nan edge from node 4 to node 3 with capacity 8,\nan edge from node 5 to node 4 with capacity 5,\nan edge from node 5 to node 3 with capacity 8,\nan edge from node 6 to node 1 with capacity 10,\nWhat is the maximum flow from node 0 to node 3:"
            },
            {
                "from": "gpt",
                "value": "6."
            }
        ]
    },
    {
        "id": "flow-easy-graph198",
        "image": "data/flow/graph_visual/easy/graph198.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge from node 0 to node 7 with capacity 10,\nan edge from node 1 to node 4 with capacity 5,\nan edge from node 2 to node 1 with capacity 4,\nan edge from node 3 to node 6 with capacity 8,\nan edge from node 4 to node 6 with capacity 8,\nan edge from node 5 to node 3 with capacity 4,\nan edge from node 6 to node 0 with capacity 9,\nan edge from node 6 to node 1 with capacity 9,\nan edge from node 6 to node 2 with capacity 6,\nan edge from node 7 to node 3 with capacity 5,\nan edge from node 7 to node 2 with capacity 8,\nan edge from node 7 to node 4 with capacity 2,\nWhat is the maximum flow from node 0 to node 1:"
            },
            {
                "from": "gpt",
                "value": "10."
            }
        ]
    },
    {
        "id": "flow-easy-graph143",
        "image": "data/flow/graph_visual/easy/graph143.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge from node 0 to node 5 with capacity 10,\nan edge from node 0 to node 4 with capacity 7,\nan edge from node 1 to node 2 with capacity 2,\nan edge from node 1 to node 4 with capacity 4,\nan edge from node 1 to node 3 with capacity 6,\nan edge from node 2 to node 5 with capacity 8,\nan edge from node 2 to node 4 with capacity 6,\nan edge from node 2 to node 6 with capacity 7,\nan edge from node 3 to node 5 with capacity 8,\nan edge from node 4 to node 1 with capacity 2,\nan edge from node 6 to node 1 with capacity 7,\nan edge from node 6 to node 5 with capacity 5,\nan edge from node 6 to node 0 with capacity 6,\nWhat is the maximum flow from node 4 to node 5:"
            },
            {
                "from": "gpt",
                "value": "2."
            }
        ]
    },
    {
        "id": "flow-easy-graph265",
        "image": "data/flow/graph_visual/easy/graph265.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge from node 0 to node 5 with capacity 1,\nan edge from node 0 to node 3 with capacity 5,\nan edge from node 1 to node 6 with capacity 9,\nan edge from node 1 to node 7 with capacity 9,\nan edge from node 3 to node 0 with capacity 2,\nan edge from node 3 to node 9 with capacity 3,\nan edge from node 3 to node 1 with capacity 3,\nan edge from node 4 to node 1 with capacity 2,\nan edge from node 5 to node 6 with capacity 9,\nan edge from node 6 to node 9 with capacity 2,\nan edge from node 6 to node 1 with capacity 1,\nan edge from node 7 to node 5 with capacity 7,\nan edge from node 7 to node 4 with capacity 8,\nan edge from node 7 to node 3 with capacity 10,\nan edge from node 8 to node 6 with capacity 2,\nan edge from node 8 to node 3 with capacity 3,\nan edge from node 8 to node 1 with capacity 7,\nan edge from node 9 to node 3 with capacity 4,\nan edge from node 9 to node 7 with capacity 7,\nWhat is the maximum flow from node 6 to node 0:"
            },
            {
                "from": "gpt",
                "value": "2."
            }
        ]
    },
    {
        "id": "flow-easy-graph78",
        "image": "data/flow/graph_visual/easy/graph78.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge from node 0 to node 2 with capacity 2,\nan edge from node 1 to node 5 with capacity 5,\nan edge from node 1 to node 0 with capacity 10,\nan edge from node 2 to node 0 with capacity 7,\nan edge from node 3 to node 1 with capacity 7,\nan edge from node 3 to node 0 with capacity 7,\nan edge from node 4 to node 2 with capacity 10,\nan edge from node 5 to node 4 with capacity 6,\nan edge from node 5 to node 0 with capacity 10,\nWhat is the maximum flow from node 1 to node 0:"
            },
            {
                "from": "gpt",
                "value": "15."
            }
        ]
    },
    {
        "id": "flow-easy-graph126",
        "image": "data/flow/graph_visual/easy/graph126.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge from node 0 to node 2 with capacity 5,\nan edge from node 0 to node 6 with capacity 6,\nan edge from node 1 to node 2 with capacity 8,\nan edge from node 2 to node 1 with capacity 1,\nan edge from node 2 to node 0 with capacity 2,\nan edge from node 3 to node 1 with capacity 6,\nan edge from node 3 to node 6 with capacity 7,\nan edge from node 4 to node 1 with capacity 2,\nan edge from node 5 to node 4 with capacity 6,\nan edge from node 5 to node 3 with capacity 4,\nan edge from node 5 to node 0 with capacity 2,\nan edge from node 6 to node 0 with capacity 9,\nWhat is the maximum flow from node 5 to node 6:"
            },
            {
                "from": "gpt",
                "value": "8."
            }
        ]
    },
    {
        "id": "flow-easy-graph106",
        "image": "data/flow/graph_visual/easy/graph106.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge from node 0 to node 3 with capacity 7,\nan edge from node 1 to node 0 with capacity 7,\nan edge from node 1 to node 2 with capacity 1,\nan edge from node 1 to node 4 with capacity 9,\nan edge from node 1 to node 3 with capacity 4,\nan edge from node 2 to node 6 with capacity 7,\nan edge from node 2 to node 4 with capacity 1,\nan edge from node 2 to node 3 with capacity 3,\nan edge from node 3 to node 5 with capacity 10,\nan edge from node 3 to node 0 with capacity 6,\nan edge from node 4 to node 6 with capacity 3,\nan edge from node 4 to node 5 with capacity 2,\nan edge from node 4 to node 1 with capacity 8,\nan edge from node 5 to node 0 with capacity 9,\nan edge from node 5 to node 3 with capacity 9,\nan edge from node 6 to node 5 with capacity 10,\nan edge from node 6 to node 0 with capacity 9,\nan edge from node 6 to node 1 with capacity 1,\nWhat is the maximum flow from node 1 to node 5:"
            },
            {
                "from": "gpt",
                "value": "16."
            }
        ]
    },
    {
        "id": "flow-easy-graph137",
        "image": "data/flow/graph_visual/easy/graph137.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge from node 0 to node 2 with capacity 2,\nan edge from node 0 to node 4 with capacity 6,\nan edge from node 1 to node 5 with capacity 5,\nan edge from node 1 to node 4 with capacity 7,\nan edge from node 2 to node 6 with capacity 1,\nan edge from node 2 to node 0 with capacity 2,\nan edge from node 2 to node 3 with capacity 4,\nan edge from node 3 to node 5 with capacity 9,\nan edge from node 3 to node 0 with capacity 3,\nan edge from node 3 to node 1 with capacity 5,\nan edge from node 4 to node 5 with capacity 6,\nan edge from node 4 to node 0 with capacity 6,\nan edge from node 4 to node 3 with capacity 3,\nan edge from node 5 to node 3 with capacity 6,\nan edge from node 6 to node 0 with capacity 4,\nWhat is the maximum flow from node 1 to node 0:"
            },
            {
                "from": "gpt",
                "value": "9."
            }
        ]
    },
    {
        "id": "flow-easy-graph90",
        "image": "data/flow/graph_visual/easy/graph90.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge from node 0 to node 2 with capacity 9,\nan edge from node 0 to node 1 with capacity 4,\nan edge from node 1 to node 2 with capacity 1,\nan edge from node 1 to node 0 with capacity 10,\nan edge from node 2 to node 4 with capacity 5,\nan edge from node 3 to node 0 with capacity 1,\nan edge from node 4 to node 3 with capacity 9,\nan edge from node 4 to node 5 with capacity 8,\nan edge from node 5 to node 2 with capacity 9,\nan edge from node 5 to node 0 with capacity 3,\nWhat is the maximum flow from node 4 to node 2:"
            },
            {
                "from": "gpt",
                "value": "9."
            }
        ]
    },
    {
        "id": "flow-easy-graph53",
        "image": "data/flow/graph_visual/easy/graph53.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge from node 0 to node 1 with capacity 5,\nan edge from node 1 to node 5 with capacity 3,\nan edge from node 1 to node 4 with capacity 3,\nan edge from node 2 to node 0 with capacity 2,\nan edge from node 2 to node 3 with capacity 2,\nan edge from node 2 to node 1 with capacity 4,\nan edge from node 3 to node 2 with capacity 10,\nan edge from node 4 to node 2 with capacity 1,\nan edge from node 4 to node 1 with capacity 3,\nan edge from node 5 to node 0 with capacity 6,\nan edge from node 5 to node 1 with capacity 2,\nan edge from node 5 to node 4 with capacity 1,\nWhat is the maximum flow from node 3 to node 4:"
            },
            {
                "from": "gpt",
                "value": "4."
            }
        ]
    },
    {
        "id": "flow-easy-graph228",
        "image": "data/flow/graph_visual/easy/graph228.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 0 to node 5 with capacity 3,\nan edge from node 1 to node 7 with capacity 8,\nan edge from node 1 to node 6 with capacity 7,\nan edge from node 1 to node 3 with capacity 2,\nan edge from node 2 to node 8 with capacity 8,\nan edge from node 2 to node 5 with capacity 4,\nan edge from node 2 to node 6 with capacity 6,\nan edge from node 2 to node 3 with capacity 3,\nan edge from node 3 to node 2 with capacity 8,\nan edge from node 3 to node 1 with capacity 2,\nan edge from node 3 to node 4 with capacity 9,\nan edge from node 5 to node 7 with capacity 4,\nan edge from node 6 to node 3 with capacity 10,\nan edge from node 7 to node 1 with capacity 3,\nan edge from node 7 to node 4 with capacity 5,\nan edge from node 7 to node 5 with capacity 4,\nan edge from node 7 to node 0 with capacity 7,\nan edge from node 8 to node 3 with capacity 9,\nWhat is the maximum flow from node 1 to node 0:"
            },
            {
                "from": "gpt",
                "value": "7."
            }
        ]
    },
    {
        "id": "flow-easy-graph282",
        "image": "data/flow/graph_visual/easy/graph282.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 10, and the edges are:\nan edge from node 0 to node 9 with capacity 3,\nan edge from node 0 to node 7 with capacity 7,\nan edge from node 0 to node 6 with capacity 6,\nan edge from node 1 to node 8 with capacity 7,\nan edge from node 1 to node 0 with capacity 2,\nan edge from node 1 to node 7 with capacity 5,\nan edge from node 1 to node 2 with capacity 1,\nan edge from node 2 to node 8 with capacity 6,\nan edge from node 2 to node 7 with capacity 9,\nan edge from node 3 to node 9 with capacity 10,\nan edge from node 4 to node 3 with capacity 5,\nan edge from node 4 to node 0 with capacity 4,\nan edge from node 4 to node 7 with capacity 1,\nan edge from node 4 to node 2 with capacity 10,\nan edge from node 5 to node 0 with capacity 5,\nan edge from node 6 to node 1 with capacity 9,\nan edge from node 6 to node 0 with capacity 10,\nan edge from node 7 to node 3 with capacity 5,\nan edge from node 7 to node 4 with capacity 7,\nan edge from node 7 to node 0 with capacity 7,\nan edge from node 7 to node 2 with capacity 4,\nan edge from node 8 to node 2 with capacity 9,\nan edge from node 8 to node 6 with capacity 3,\nan edge from node 9 to node 3 with capacity 3,\nan edge from node 9 to node 4 with capacity 2,\nan edge from node 9 to node 2 with capacity 9,\nWhat is the maximum flow from node 2 to node 4:"
            },
            {
                "from": "gpt",
                "value": "9."
            }
        ]
    },
    {
        "id": "flow-easy-graph64",
        "image": "data/flow/graph_visual/easy/graph64.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge from node 0 to node 5 with capacity 9,\nan edge from node 1 to node 4 with capacity 6,\nan edge from node 1 to node 3 with capacity 8,\nan edge from node 3 to node 2 with capacity 7,\nan edge from node 5 to node 2 with capacity 7,\nan edge from node 5 to node 3 with capacity 7,\nan edge from node 5 to node 1 with capacity 8,\nWhat is the maximum flow from node 0 to node 2:"
            },
            {
                "from": "gpt",
                "value": "9."
            }
        ]
    },
    {
        "id": "flow-easy-graph175",
        "image": "data/flow/graph_visual/easy/graph175.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge from node 0 to node 5 with capacity 10,\nan edge from node 0 to node 1 with capacity 10,\nan edge from node 0 to node 6 with capacity 1,\nan edge from node 1 to node 7 with capacity 8,\nan edge from node 1 to node 0 with capacity 10,\nan edge from node 1 to node 6 with capacity 10,\nan edge from node 4 to node 6 with capacity 4,\nan edge from node 5 to node 3 with capacity 4,\nan edge from node 5 to node 4 with capacity 3,\nan edge from node 6 to node 4 with capacity 6,\nan edge from node 7 to node 2 with capacity 4,\nWhat is the maximum flow from node 1 to node 4:"
            },
            {
                "from": "gpt",
                "value": "9."
            }
        ]
    },
    {
        "id": "flow-easy-graph61",
        "image": "data/flow/graph_visual/easy/graph61.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge from node 0 to node 4 with capacity 2,\nan edge from node 1 to node 5 with capacity 6,\nan edge from node 1 to node 0 with capacity 9,\nan edge from node 2 to node 0 with capacity 4,\nan edge from node 3 to node 4 with capacity 8,\nan edge from node 3 to node 0 with capacity 8,\nan edge from node 4 to node 5 with capacity 10,\nan edge from node 5 to node 4 with capacity 1,\nan edge from node 5 to node 0 with capacity 4,\nan edge from node 5 to node 3 with capacity 8,\nWhat is the maximum flow from node 5 to node 4:"
            },
            {
                "from": "gpt",
                "value": "11."
            }
        ]
    },
    {
        "id": "flow-easy-graph174",
        "image": "data/flow/graph_visual/easy/graph174.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge from node 0 to node 5 with capacity 3,\nan edge from node 1 to node 4 with capacity 2,\nan edge from node 1 to node 7 with capacity 3,\nan edge from node 2 to node 1 with capacity 8,\nan edge from node 3 to node 6 with capacity 5,\nan edge from node 3 to node 4 with capacity 2,\nan edge from node 3 to node 5 with capacity 5,\nan edge from node 4 to node 6 with capacity 7,\nan edge from node 4 to node 2 with capacity 3,\nan edge from node 5 to node 6 with capacity 2,\nan edge from node 5 to node 2 with capacity 2,\nan edge from node 7 to node 6 with capacity 2,\nan edge from node 7 to node 0 with capacity 2,\nan edge from node 7 to node 3 with capacity 2,\nWhat is the maximum flow from node 5 to node 6:"
            },
            {
                "from": "gpt",
                "value": "4."
            }
        ]
    },
    {
        "id": "flow-easy-graph44",
        "image": "data/flow/graph_visual/easy/graph44.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge from node 0 to node 2 with capacity 2,\nan edge from node 2 to node 1 with capacity 7,\nan edge from node 2 to node 3 with capacity 7,\nan edge from node 2 to node 4 with capacity 9,\nan edge from node 3 to node 2 with capacity 8,\nan edge from node 3 to node 4 with capacity 4,\nan edge from node 4 to node 1 with capacity 7,\nan edge from node 4 to node 3 with capacity 9,\nWhat is the maximum flow from node 0 to node 1:"
            },
            {
                "from": "gpt",
                "value": "2."
            }
        ]
    },
    {
        "id": "flow-easy-graph203",
        "image": "data/flow/graph_visual/easy/graph203.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 0 to node 2 with capacity 5,\nan edge from node 0 to node 1 with capacity 6,\nan edge from node 0 to node 6 with capacity 6,\nan edge from node 1 to node 8 with capacity 10,\nan edge from node 2 to node 1 with capacity 6,\nan edge from node 2 to node 4 with capacity 7,\nan edge from node 3 to node 1 with capacity 1,\nan edge from node 3 to node 7 with capacity 2,\nan edge from node 3 to node 0 with capacity 10,\nan edge from node 4 to node 1 with capacity 8,\nan edge from node 5 to node 3 with capacity 7,\nan edge from node 5 to node 7 with capacity 1,\nan edge from node 6 to node 5 with capacity 6,\nan edge from node 6 to node 3 with capacity 10,\nan edge from node 6 to node 4 with capacity 9,\nan edge from node 7 to node 5 with capacity 5,\nan edge from node 7 to node 8 with capacity 6,\nan edge from node 7 to node 4 with capacity 3,\nan edge from node 8 to node 1 with capacity 3,\nWhat is the maximum flow from node 7 to node 8:"
            },
            {
                "from": "gpt",
                "value": "14."
            }
        ]
    },
    {
        "id": "flow-easy-graph188",
        "image": "data/flow/graph_visual/easy/graph188.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge from node 0 to node 1 with capacity 3,\nan edge from node 0 to node 3 with capacity 6,\nan edge from node 0 to node 7 with capacity 7,\nan edge from node 0 to node 2 with capacity 8,\nan edge from node 1 to node 0 with capacity 9,\nan edge from node 1 to node 4 with capacity 7,\nan edge from node 2 to node 3 with capacity 5,\nan edge from node 2 to node 5 with capacity 4,\nan edge from node 3 to node 0 with capacity 3,\nan edge from node 4 to node 2 with capacity 2,\nan edge from node 5 to node 6 with capacity 2,\nan edge from node 6 to node 0 with capacity 4,\nan edge from node 7 to node 1 with capacity 3,\nan edge from node 7 to node 4 with capacity 3,\nWhat is the maximum flow from node 0 to node 2:"
            },
            {
                "from": "gpt",
                "value": "10."
            }
        ]
    },
    {
        "id": "flow-easy-graph214",
        "image": "data/flow/graph_visual/easy/graph214.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 0 to node 7 with capacity 10,\nan edge from node 1 to node 3 with capacity 1,\nan edge from node 1 to node 5 with capacity 1,\nan edge from node 1 to node 6 with capacity 9,\nan edge from node 2 to node 3 with capacity 6,\nan edge from node 2 to node 6 with capacity 5,\nan edge from node 3 to node 2 with capacity 5,\nan edge from node 3 to node 5 with capacity 2,\nan edge from node 4 to node 8 with capacity 7,\nan edge from node 5 to node 2 with capacity 10,\nan edge from node 6 to node 5 with capacity 5,\nan edge from node 7 to node 8 with capacity 6,\nan edge from node 8 to node 7 with capacity 3,\nan edge from node 8 to node 4 with capacity 1,\nWhat is the maximum flow from node 1 to node 5:"
            },
            {
                "from": "gpt",
                "value": "7."
            }
        ]
    },
    {
        "id": "flow-easy-graph140",
        "image": "data/flow/graph_visual/easy/graph140.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 7, and the edges are:\nan edge from node 0 to node 1 with capacity 7,\nan edge from node 1 to node 3 with capacity 5,\nan edge from node 1 to node 4 with capacity 4,\nan edge from node 1 to node 2 with capacity 2,\nan edge from node 2 to node 5 with capacity 9,\nan edge from node 2 to node 4 with capacity 7,\nan edge from node 3 to node 2 with capacity 2,\nan edge from node 4 to node 5 with capacity 10,\nan edge from node 4 to node 0 with capacity 3,\nan edge from node 5 to node 3 with capacity 7,\nan edge from node 5 to node 1 with capacity 7,\nan edge from node 5 to node 4 with capacity 3,\nan edge from node 6 to node 3 with capacity 10,\nWhat is the maximum flow from node 3 to node 4:"
            },
            {
                "from": "gpt",
                "value": "2."
            }
        ]
    },
    {
        "id": "flow-easy-graph9",
        "image": "data/flow/graph_visual/easy/graph9.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 5, and the edges are:\nan edge from node 0 to node 4 with capacity 9,\nan edge from node 1 to node 4 with capacity 2,\nan edge from node 2 to node 1 with capacity 2,\nan edge from node 2 to node 0 with capacity 4,\nan edge from node 2 to node 4 with capacity 5,\nan edge from node 3 to node 0 with capacity 5,\nan edge from node 3 to node 2 with capacity 3,\nan edge from node 4 to node 3 with capacity 9,\nWhat is the maximum flow from node 2 to node 3:"
            },
            {
                "from": "gpt",
                "value": "9."
            }
        ]
    },
    {
        "id": "flow-easy-graph248",
        "image": "data/flow/graph_visual/easy/graph248.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 1 to node 8 with capacity 2,\nan edge from node 2 to node 3 with capacity 10,\nan edge from node 2 to node 8 with capacity 6,\nan edge from node 2 to node 6 with capacity 3,\nan edge from node 3 to node 8 with capacity 8,\nan edge from node 4 to node 3 with capacity 9,\nan edge from node 4 to node 5 with capacity 6,\nan edge from node 5 to node 2 with capacity 6,\nan edge from node 6 to node 3 with capacity 1,\nan edge from node 6 to node 1 with capacity 10,\nan edge from node 6 to node 0 with capacity 7,\nan edge from node 6 to node 7 with capacity 3,\nan edge from node 6 to node 2 with capacity 6,\nan edge from node 6 to node 5 with capacity 1,\nan edge from node 7 to node 0 with capacity 1,\nan edge from node 8 to node 4 with capacity 6,\nWhat is the maximum flow from node 1 to node 3:"
            },
            {
                "from": "gpt",
                "value": "2."
            }
        ]
    },
    {
        "id": "flow-easy-graph237",
        "image": "data/flow/graph_visual/easy/graph237.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 0 to node 8 with capacity 2,\nan edge from node 2 to node 6 with capacity 10,\nan edge from node 2 to node 4 with capacity 6,\nan edge from node 3 to node 6 with capacity 8,\nan edge from node 3 to node 2 with capacity 6,\nan edge from node 3 to node 4 with capacity 5,\nan edge from node 4 to node 5 with capacity 7,\nan edge from node 5 to node 4 with capacity 2,\nan edge from node 6 to node 4 with capacity 10,\nan edge from node 7 to node 8 with capacity 10,\nan edge from node 8 to node 2 with capacity 1,\nan edge from node 8 to node 4 with capacity 7,\nWhat is the maximum flow from node 3 to node 5:"
            },
            {
                "from": "gpt",
                "value": "7."
            }
        ]
    },
    {
        "id": "flow-easy-graph218",
        "image": "data/flow/graph_visual/easy/graph218.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 0 to node 8 with capacity 4,\nan edge from node 0 to node 4 with capacity 5,\nan edge from node 0 to node 3 with capacity 6,\nan edge from node 1 to node 6 with capacity 4,\nan edge from node 1 to node 0 with capacity 6,\nan edge from node 2 to node 6 with capacity 2,\nan edge from node 3 to node 8 with capacity 1,\nan edge from node 3 to node 1 with capacity 6,\nan edge from node 3 to node 2 with capacity 3,\nan edge from node 4 to node 0 with capacity 4,\nan edge from node 4 to node 7 with capacity 8,\nan edge from node 5 to node 4 with capacity 8,\nan edge from node 5 to node 0 with capacity 10,\nan edge from node 5 to node 7 with capacity 4,\nan edge from node 6 to node 5 with capacity 2,\nan edge from node 6 to node 3 with capacity 3,\nan edge from node 6 to node 0 with capacity 3,\nan edge from node 7 to node 3 with capacity 4,\nan edge from node 8 to node 4 with capacity 7,\nan edge from node 8 to node 1 with capacity 1,\nan edge from node 8 to node 0 with capacity 10,\nWhat is the maximum flow from node 5 to node 3:"
            },
            {
                "from": "gpt",
                "value": "11."
            }
        ]
    },
    {
        "id": "flow-easy-graph192",
        "image": "data/flow/graph_visual/easy/graph192.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 8, and the edges are:\nan edge from node 0 to node 6 with capacity 5,\nan edge from node 0 to node 5 with capacity 9,\nan edge from node 0 to node 7 with capacity 1,\nan edge from node 1 to node 2 with capacity 8,\nan edge from node 2 to node 5 with capacity 7,\nan edge from node 2 to node 4 with capacity 2,\nan edge from node 4 to node 7 with capacity 3,\nan edge from node 4 to node 0 with capacity 2,\nan edge from node 5 to node 3 with capacity 9,\nan edge from node 6 to node 3 with capacity 7,\nan edge from node 6 to node 7 with capacity 6,\nan edge from node 6 to node 2 with capacity 1,\nan edge from node 7 to node 3 with capacity 4,\nan edge from node 7 to node 4 with capacity 7,\nWhat is the maximum flow from node 4 to node 7:"
            },
            {
                "from": "gpt",
                "value": "5."
            }
        ]
    },
    {
        "id": "flow-easy-graph207",
        "image": "data/flow/graph_visual/easy/graph207.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 9, and the edges are:\nan edge from node 0 to node 6 with capacity 9,\nan edge from node 0 to node 1 with capacity 3,\nan edge from node 0 to node 2 with capacity 9,\nan edge from node 1 to node 4 with capacity 1,\nan edge from node 1 to node 8 with capacity 8,\nan edge from node 2 to node 0 with capacity 6,\nan edge from node 3 to node 4 with capacity 4,\nan edge from node 4 to node 7 with capacity 3,\nan edge from node 4 to node 2 with capacity 2,\nan edge from node 5 to node 1 with capacity 4,\nan edge from node 6 to node 5 with capacity 6,\nan edge from node 6 to node 3 with capacity 7,\nan edge from node 6 to node 1 with capacity 7,\nan edge from node 6 to node 2 with capacity 6,\nan edge from node 7 to node 4 with capacity 8,\nan edge from node 7 to node 8 with capacity 7,\nan edge from node 8 to node 6 with capacity 4,\nWhat is the maximum flow from node 3 to node 1:"
            },
            {
                "from": "gpt",
                "value": "4."
            }
        ]
    },
    {
        "id": "flow-easy-graph51",
        "image": "data/flow/graph_visual/easy/graph51.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 6, and the edges are:\nan edge from node 0 to node 1 with capacity 5,\nan edge from node 0 to node 4 with capacity 1,\nan edge from node 1 to node 4 with capacity 5,\nan edge from node 2 to node 5 with capacity 7,\nan edge from node 2 to node 4 with capacity 4,\nan edge from node 3 to node 1 with capacity 6,\nan edge from node 3 to node 2 with capacity 2,\nan edge from node 3 to node 0 with capacity 10,\nan edge from node 4 to node 5 with capacity 7,\nWhat is the maximum flow from node 3 to node 4:"
            },
            {
                "from": "gpt",
                "value": "8."
            }
        ]
    },
    {
        "id": "flow-hard-graph1107",
        "image": "data/flow/graph_visual/hard/graph1107.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 1 with capacity 19,\nan edge from node 0 to node 15 with capacity 10,\nan edge from node 2 to node 18 with capacity 19,\nan edge from node 2 to node 17 with capacity 18,\nan edge from node 2 to node 16 with capacity 7,\nan edge from node 2 to node 1 with capacity 8,\nan edge from node 2 to node 19 with capacity 15,\nan edge from node 2 to node 5 with capacity 16,\nan edge from node 3 to node 13 with capacity 19,\nan edge from node 3 to node 14 with capacity 8,\nan edge from node 3 to node 18 with capacity 2,\nan edge from node 3 to node 2 with capacity 12,\nan edge from node 3 to node 1 with capacity 20,\nan edge from node 3 to node 8 with capacity 3,\nan edge from node 3 to node 7 with capacity 13,\nan edge from node 3 to node 0 with capacity 16,\nan edge from node 3 to node 19 with capacity 16,\nan edge from node 4 to node 16 with capacity 7,\nan edge from node 4 to node 11 with capacity 8,\nan edge from node 4 to node 10 with capacity 7,\nan edge from node 4 to node 6 with capacity 1,\nan edge from node 4 to node 15 with capacity 1,\nan edge from node 4 to node 7 with capacity 3,\nan edge from node 4 to node 0 with capacity 2,\nan edge from node 5 to node 13 with capacity 7,\nan edge from node 5 to node 11 with capacity 20,\nan edge from node 5 to node 1 with capacity 14,\nan edge from node 5 to node 12 with capacity 16,\nan edge from node 5 to node 19 with capacity 11,\nan edge from node 6 to node 14 with capacity 7,\nan edge from node 6 to node 18 with capacity 12,\nan edge from node 6 to node 17 with capacity 12,\nan edge from node 6 to node 8 with capacity 20,\nan edge from node 7 to node 13 with capacity 17,\nan edge from node 7 to node 17 with capacity 11,\nan edge from node 7 to node 1 with capacity 1,\nan edge from node 7 to node 9 with capacity 3,\nan edge from node 7 to node 0 with capacity 15,\nan edge from node 8 to node 14 with capacity 8,\nan edge from node 8 to node 17 with capacity 9,\nan edge from node 8 to node 16 with capacity 20,\nan edge from node 8 to node 1 with capacity 4,\nan edge from node 8 to node 19 with capacity 1,\nan edge from node 9 to node 14 with capacity 9,\nan edge from node 9 to node 11 with capacity 1,\nan edge from node 9 to node 1 with capacity 11,\nan edge from node 10 to node 13 with capacity 3,\nan edge from node 10 to node 16 with capacity 4,\nan edge from node 10 to node 3 with capacity 3,\nan edge from node 10 to node 19 with capacity 15,\nan edge from node 10 to node 5 with capacity 6,\nan edge from node 11 to node 19 with capacity 12,\nan edge from node 12 to node 14 with capacity 3,\nan edge from node 12 to node 17 with capacity 16,\nan edge from node 13 to node 4 with capacity 4,\nan edge from node 13 to node 1 with capacity 12,\nan edge from node 13 to node 9 with capacity 1,\nan edge from node 13 to node 8 with capacity 19,\nan edge from node 13 to node 12 with capacity 10,\nan edge from node 13 to node 19 with capacity 10,\nan edge from node 13 to node 5 with capacity 20,\nan edge from node 14 to node 13 with capacity 2,\nan edge from node 14 to node 17 with capacity 1,\nan edge from node 14 to node 16 with capacity 16,\nan edge from node 14 to node 12 with capacity 9,\nan edge from node 14 to node 5 with capacity 19,\nan edge from node 15 to node 14 with capacity 18,\nan edge from node 15 to node 18 with capacity 6,\nan edge from node 15 to node 9 with capacity 10,\nan edge from node 15 to node 10 with capacity 19,\nan edge from node 15 to node 12 with capacity 3,\nan edge from node 15 to node 5 with capacity 12,\nan edge from node 16 to node 13 with capacity 1,\nan edge from node 16 to node 19 with capacity 12,\nan edge from node 17 to node 13 with capacity 6,\nan edge from node 17 to node 18 with capacity 17,\nan edge from node 17 to node 16 with capacity 5,\nan edge from node 17 to node 2 with capacity 9,\nan edge from node 17 to node 11 with capacity 4,\nan edge from node 17 to node 15 with capacity 8,\nan edge from node 17 to node 0 with capacity 16,\nan edge from node 17 to node 19 with capacity 16,\nan edge from node 18 to node 3 with capacity 17,\nan edge from node 18 to node 9 with capacity 5,\nan edge from node 18 to node 7 with capacity 15,\nan edge from node 19 to node 14 with capacity 5,\nan edge from node 19 to node 7 with capacity 15,\nan edge from node 19 to node 0 with capacity 12,\nan edge from node 19 to node 5 with capacity 20,\nWhat is the maximum flow from node 3 to node 6:"
            },
            {
                "from": "gpt",
                "value": "1."
            }
        ]
    },
    {
        "id": "flow-hard-graph1091",
        "image": "data/flow/graph_visual/hard/graph1091.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 1 with capacity 9,\nan edge from node 1 to node 7 with capacity 6,\nan edge from node 1 to node 10 with capacity 1,\nan edge from node 1 to node 17 with capacity 13,\nan edge from node 2 to node 3 with capacity 11,\nan edge from node 2 to node 8 with capacity 7,\nan edge from node 3 to node 5 with capacity 9,\nan edge from node 3 to node 12 with capacity 19,\nan edge from node 3 to node 4 with capacity 1,\nan edge from node 3 to node 9 with capacity 4,\nan edge from node 4 to node 18 with capacity 3,\nan edge from node 4 to node 6 with capacity 9,\nan edge from node 4 to node 12 with capacity 7,\nan edge from node 4 to node 8 with capacity 10,\nan edge from node 4 to node 17 with capacity 8,\nan edge from node 5 to node 19 with capacity 6,\nan edge from node 5 to node 3 with capacity 15,\nan edge from node 5 to node 4 with capacity 11,\nan edge from node 5 to node 17 with capacity 17,\nan edge from node 6 to node 5 with capacity 1,\nan edge from node 6 to node 8 with capacity 7,\nan edge from node 7 to node 1 with capacity 14,\nan edge from node 7 to node 14 with capacity 20,\nan edge from node 7 to node 5 with capacity 7,\nan edge from node 7 to node 16 with capacity 16,\nan edge from node 8 to node 15 with capacity 6,\nan edge from node 8 to node 18 with capacity 1,\nan edge from node 8 to node 11 with capacity 9,\nan edge from node 8 to node 2 with capacity 15,\nan edge from node 8 to node 9 with capacity 8,\nan edge from node 8 to node 17 with capacity 6,\nan edge from node 9 to node 14 with capacity 14,\nan edge from node 9 to node 6 with capacity 16,\nan edge from node 9 to node 0 with capacity 6,\nan edge from node 9 to node 7 with capacity 14,\nan edge from node 10 to node 1 with capacity 11,\nan edge from node 10 to node 5 with capacity 14,\nan edge from node 10 to node 19 with capacity 13,\nan edge from node 10 to node 11 with capacity 14,\nan edge from node 10 to node 3 with capacity 6,\nan edge from node 10 to node 16 with capacity 17,\nan edge from node 10 to node 4 with capacity 18,\nan edge from node 10 to node 8 with capacity 20,\nan edge from node 11 to node 13 with capacity 3,\nan edge from node 11 to node 16 with capacity 9,\nan edge from node 11 to node 7 with capacity 9,\nan edge from node 11 to node 17 with capacity 13,\nan edge from node 12 to node 1 with capacity 2,\nan edge from node 12 to node 14 with capacity 16,\nan edge from node 12 to node 15 with capacity 13,\nan edge from node 12 to node 19 with capacity 15,\nan edge from node 12 to node 18 with capacity 4,\nan edge from node 12 to node 6 with capacity 14,\nan edge from node 12 to node 9 with capacity 9,\nan edge from node 13 to node 5 with capacity 17,\nan edge from node 13 to node 6 with capacity 6,\nan edge from node 13 to node 12 with capacity 15,\nan edge from node 13 to node 3 with capacity 2,\nan edge from node 13 to node 4 with capacity 10,\nan edge from node 13 to node 2 with capacity 19,\nan edge from node 13 to node 0 with capacity 10,\nan edge from node 14 to node 6 with capacity 9,\nan edge from node 14 to node 12 with capacity 17,\nan edge from node 14 to node 3 with capacity 12,\nan edge from node 14 to node 0 with capacity 4,\nan edge from node 15 to node 1 with capacity 11,\nan edge from node 15 to node 14 with capacity 10,\nan edge from node 15 to node 19 with capacity 7,\nan edge from node 15 to node 13 with capacity 10,\nan edge from node 15 to node 3 with capacity 13,\nan edge from node 15 to node 9 with capacity 18,\nan edge from node 16 to node 15 with capacity 11,\nan edge from node 16 to node 11 with capacity 11,\nan edge from node 16 to node 2 with capacity 15,\nan edge from node 16 to node 0 with capacity 14,\nan edge from node 16 to node 17 with capacity 17,\nan edge from node 17 to node 18 with capacity 12,\nan edge from node 17 to node 6 with capacity 16,\nan edge from node 17 to node 13 with capacity 19,\nan edge from node 17 to node 8 with capacity 5,\nan edge from node 17 to node 0 with capacity 11,\nan edge from node 17 to node 7 with capacity 14,\nan edge from node 18 to node 14 with capacity 16,\nan edge from node 18 to node 11 with capacity 5,\nan edge from node 18 to node 16 with capacity 11,\nan edge from node 18 to node 0 with capacity 11,\nan edge from node 18 to node 10 with capacity 19,\nan edge from node 19 to node 1 with capacity 12,\nan edge from node 19 to node 14 with capacity 10,\nan edge from node 19 to node 12 with capacity 19,\nan edge from node 19 to node 3 with capacity 2,\nan edge from node 19 to node 2 with capacity 6,\nan edge from node 19 to node 8 with capacity 10,\nan edge from node 19 to node 10 with capacity 14,\nan edge from node 19 to node 9 with capacity 10,\nWhat is the maximum flow from node 17 to node 14:"
            },
            {
                "from": "gpt",
                "value": "65."
            }
        ]
    },
    {
        "id": "flow-hard-graph119",
        "image": "data/flow/graph_visual/hard/graph119.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 3 with capacity 8,\nan edge from node 0 to node 6 with capacity 6,\nan edge from node 0 to node 8 with capacity 2,\nan edge from node 0 to node 7 with capacity 18,\nan edge from node 2 to node 0 with capacity 11,\nan edge from node 2 to node 6 with capacity 9,\nan edge from node 3 to node 10 with capacity 6,\nan edge from node 3 to node 2 with capacity 12,\nan edge from node 3 to node 1 with capacity 10,\nan edge from node 4 to node 9 with capacity 3,\nan edge from node 4 to node 3 with capacity 12,\nan edge from node 5 to node 7 with capacity 16,\nan edge from node 6 to node 5 with capacity 20,\nan edge from node 6 to node 2 with capacity 8,\nan edge from node 6 to node 8 with capacity 9,\nan edge from node 7 to node 9 with capacity 4,\nan edge from node 7 to node 0 with capacity 8,\nan edge from node 7 to node 6 with capacity 8,\nan edge from node 7 to node 2 with capacity 17,\nan edge from node 8 to node 3 with capacity 5,\nan edge from node 8 to node 5 with capacity 4,\nan edge from node 8 to node 7 with capacity 18,\nan edge from node 8 to node 1 with capacity 2,\nan edge from node 9 to node 1 with capacity 14,\nan edge from node 10 to node 4 with capacity 8,\nan edge from node 10 to node 9 with capacity 3,\nan edge from node 10 to node 3 with capacity 18,\nan edge from node 10 to node 2 with capacity 2,\nan edge from node 10 to node 7 with capacity 16,\nWhat is the maximum flow from node 3 to node 6:"
            },
            {
                "from": "gpt",
                "value": "18."
            }
        ]
    },
    {
        "id": "flow-hard-graph153",
        "image": "data/flow/graph_visual/hard/graph153.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 3 with capacity 1,\nan edge from node 0 to node 6 with capacity 14,\nan edge from node 0 to node 4 with capacity 18,\nan edge from node 0 to node 5 with capacity 7,\nan edge from node 1 to node 3 with capacity 1,\nan edge from node 1 to node 10 with capacity 8,\nan edge from node 1 to node 2 with capacity 5,\nan edge from node 2 to node 6 with capacity 17,\nan edge from node 2 to node 1 with capacity 8,\nan edge from node 2 to node 7 with capacity 14,\nan edge from node 2 to node 9 with capacity 15,\nan edge from node 2 to node 5 with capacity 3,\nan edge from node 3 to node 6 with capacity 7,\nan edge from node 3 to node 0 with capacity 3,\nan edge from node 3 to node 4 with capacity 12,\nan edge from node 3 to node 9 with capacity 20,\nan edge from node 4 to node 6 with capacity 18,\nan edge from node 4 to node 2 with capacity 16,\nan edge from node 4 to node 9 with capacity 1,\nan edge from node 5 to node 3 with capacity 15,\nan edge from node 5 to node 6 with capacity 20,\nan edge from node 5 to node 0 with capacity 14,\nan edge from node 5 to node 4 with capacity 2,\nan edge from node 6 to node 9 with capacity 13,\nan edge from node 7 to node 10 with capacity 11,\nan edge from node 7 to node 11 with capacity 3,\nan edge from node 7 to node 9 with capacity 12,\nan edge from node 8 to node 3 with capacity 1,\nan edge from node 8 to node 9 with capacity 13,\nan edge from node 9 to node 6 with capacity 13,\nan edge from node 9 to node 1 with capacity 6,\nan edge from node 10 to node 6 with capacity 8,\nan edge from node 10 to node 11 with capacity 11,\nan edge from node 10 to node 0 with capacity 3,\nan edge from node 10 to node 1 with capacity 8,\nan edge from node 10 to node 5 with capacity 11,\nan edge from node 11 to node 4 with capacity 19,\nan edge from node 11 to node 9 with capacity 8,\nWhat is the maximum flow from node 6 to node 11:"
            },
            {
                "from": "gpt",
                "value": "6."
            }
        ]
    },
    {
        "id": "flow-hard-graph956",
        "image": "data/flow/graph_visual/hard/graph956.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 17 with capacity 9,\nan edge from node 0 to node 10 with capacity 9,\nan edge from node 0 to node 8 with capacity 9,\nan edge from node 1 to node 12 with capacity 7,\nan edge from node 1 to node 16 with capacity 4,\nan edge from node 1 to node 6 with capacity 16,\nan edge from node 2 to node 12 with capacity 10,\nan edge from node 2 to node 4 with capacity 17,\nan edge from node 2 to node 10 with capacity 9,\nan edge from node 2 to node 8 with capacity 17,\nan edge from node 2 to node 13 with capacity 12,\nan edge from node 2 to node 16 with capacity 5,\nan edge from node 3 to node 15 with capacity 13,\nan edge from node 3 to node 7 with capacity 3,\nan edge from node 3 to node 0 with capacity 8,\nan edge from node 3 to node 16 with capacity 19,\nan edge from node 4 to node 0 with capacity 13,\nan edge from node 4 to node 5 with capacity 13,\nan edge from node 4 to node 10 with capacity 13,\nan edge from node 4 to node 6 with capacity 10,\nan edge from node 5 to node 11 with capacity 11,\nan edge from node 5 to node 10 with capacity 16,\nan edge from node 5 to node 2 with capacity 4,\nan edge from node 5 to node 16 with capacity 17,\nan edge from node 5 to node 6 with capacity 2,\nan edge from node 6 to node 1 with capacity 14,\nan edge from node 6 to node 11 with capacity 1,\nan edge from node 6 to node 0 with capacity 12,\nan edge from node 7 to node 17 with capacity 14,\nan edge from node 7 to node 0 with capacity 1,\nan edge from node 7 to node 5 with capacity 14,\nan edge from node 7 to node 10 with capacity 15,\nan edge from node 7 to node 2 with capacity 13,\nan edge from node 7 to node 9 with capacity 13,\nan edge from node 7 to node 14 with capacity 8,\nan edge from node 7 to node 6 with capacity 13,\nan edge from node 8 to node 11 with capacity 13,\nan edge from node 8 to node 7 with capacity 16,\nan edge from node 8 to node 2 with capacity 20,\nan edge from node 9 to node 4 with capacity 10,\nan edge from node 9 to node 7 with capacity 2,\nan edge from node 9 to node 0 with capacity 19,\nan edge from node 9 to node 13 with capacity 9,\nan edge from node 9 to node 14 with capacity 20,\nan edge from node 9 to node 6 with capacity 16,\nan edge from node 10 to node 12 with capacity 9,\nan edge from node 10 to node 3 with capacity 15,\nan edge from node 10 to node 0 with capacity 9,\nan edge from node 10 to node 8 with capacity 3,\nan edge from node 11 to node 17 with capacity 1,\nan edge from node 11 to node 3 with capacity 17,\nan edge from node 11 to node 7 with capacity 11,\nan edge from node 11 to node 8 with capacity 19,\nan edge from node 12 to node 17 with capacity 20,\nan edge from node 12 to node 1 with capacity 13,\nan edge from node 12 to node 6 with capacity 15,\nan edge from node 13 to node 11 with capacity 15,\nan edge from node 13 to node 12 with capacity 13,\nan edge from node 13 to node 3 with capacity 8,\nan edge from node 13 to node 10 with capacity 7,\nan edge from node 13 to node 2 with capacity 4,\nan edge from node 13 to node 16 with capacity 14,\nan edge from node 14 to node 11 with capacity 1,\nan edge from node 14 to node 4 with capacity 10,\nan edge from node 14 to node 7 with capacity 10,\nan edge from node 15 to node 17 with capacity 12,\nan edge from node 15 to node 12 with capacity 17,\nan edge from node 15 to node 4 with capacity 3,\nan edge from node 15 to node 7 with capacity 18,\nan edge from node 15 to node 0 with capacity 13,\nan edge from node 15 to node 13 with capacity 15,\nan edge from node 15 to node 16 with capacity 16,\nan edge from node 15 to node 9 with capacity 18,\nan edge from node 15 to node 14 with capacity 16,\nan edge from node 16 to node 11 with capacity 13,\nan edge from node 16 to node 15 with capacity 1,\nan edge from node 16 to node 3 with capacity 10,\nan edge from node 16 to node 2 with capacity 8,\nan edge from node 16 to node 9 with capacity 11,\nan edge from node 17 to node 11 with capacity 3,\nan edge from node 17 to node 4 with capacity 11,\nan edge from node 17 to node 5 with capacity 11,\nan edge from node 17 to node 8 with capacity 7,\nan edge from node 17 to node 13 with capacity 2,\nWhat is the maximum flow from node 7 to node 3:"
            },
            {
                "from": "gpt",
                "value": "50."
            }
        ]
    },
    {
        "id": "flow-hard-graph1179",
        "image": "data/flow/graph_visual/hard/graph1179.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 8 with capacity 5,\nan edge from node 0 to node 15 with capacity 5,\nan edge from node 0 to node 5 with capacity 2,\nan edge from node 0 to node 1 with capacity 10,\nan edge from node 1 to node 2 with capacity 7,\nan edge from node 1 to node 10 with capacity 5,\nan edge from node 1 to node 16 with capacity 8,\nan edge from node 1 to node 12 with capacity 20,\nan edge from node 1 to node 3 with capacity 9,\nan edge from node 1 to node 7 with capacity 15,\nan edge from node 1 to node 4 with capacity 12,\nan edge from node 2 to node 8 with capacity 12,\nan edge from node 2 to node 18 with capacity 1,\nan edge from node 2 to node 10 with capacity 11,\nan edge from node 2 to node 9 with capacity 1,\nan edge from node 2 to node 5 with capacity 4,\nan edge from node 2 to node 7 with capacity 2,\nan edge from node 2 to node 0 with capacity 8,\nan edge from node 2 to node 14 with capacity 13,\nan edge from node 3 to node 2 with capacity 3,\nan edge from node 3 to node 17 with capacity 8,\nan edge from node 3 to node 10 with capacity 9,\nan edge from node 3 to node 15 with capacity 3,\nan edge from node 3 to node 11 with capacity 4,\nan edge from node 4 to node 17 with capacity 14,\nan edge from node 4 to node 10 with capacity 5,\nan edge from node 4 to node 15 with capacity 17,\nan edge from node 4 to node 3 with capacity 6,\nan edge from node 4 to node 19 with capacity 3,\nan edge from node 4 to node 0 with capacity 16,\nan edge from node 5 to node 13 with capacity 2,\nan edge from node 5 to node 3 with capacity 4,\nan edge from node 6 to node 3 with capacity 7,\nan edge from node 6 to node 7 with capacity 11,\nan edge from node 7 to node 10 with capacity 5,\nan edge from node 7 to node 15 with capacity 6,\nan edge from node 7 to node 4 with capacity 6,\nan edge from node 8 to node 3 with capacity 11,\nan edge from node 8 to node 19 with capacity 6,\nan edge from node 8 to node 0 with capacity 8,\nan edge from node 8 to node 14 with capacity 1,\nan edge from node 9 to node 6 with capacity 5,\nan edge from node 9 to node 18 with capacity 19,\nan edge from node 9 to node 13 with capacity 1,\nan edge from node 9 to node 5 with capacity 18,\nan edge from node 9 to node 12 with capacity 11,\nan edge from node 9 to node 7 with capacity 13,\nan edge from node 9 to node 0 with capacity 18,\nan edge from node 10 to node 15 with capacity 9,\nan edge from node 10 to node 12 with capacity 6,\nan edge from node 10 to node 4 with capacity 3,\nan edge from node 11 to node 9 with capacity 13,\nan edge from node 11 to node 13 with capacity 2,\nan edge from node 11 to node 1 with capacity 19,\nan edge from node 11 to node 14 with capacity 18,\nan edge from node 12 to node 18 with capacity 6,\nan edge from node 12 to node 15 with capacity 12,\nan edge from node 12 to node 3 with capacity 8,\nan edge from node 12 to node 19 with capacity 9,\nan edge from node 12 to node 0 with capacity 3,\nan edge from node 12 to node 14 with capacity 19,\nan edge from node 13 to node 6 with capacity 14,\nan edge from node 13 to node 8 with capacity 17,\nan edge from node 13 to node 10 with capacity 5,\nan edge from node 13 to node 15 with capacity 18,\nan edge from node 13 to node 1 with capacity 7,\nan edge from node 13 to node 4 with capacity 2,\nan edge from node 14 to node 6 with capacity 12,\nan edge from node 14 to node 18 with capacity 8,\nan edge from node 14 to node 13 with capacity 14,\nan edge from node 14 to node 5 with capacity 2,\nan edge from node 14 to node 0 with capacity 5,\nan edge from node 15 to node 2 with capacity 8,\nan edge from node 15 to node 17 with capacity 20,\nan edge from node 15 to node 16 with capacity 5,\nan edge from node 16 to node 1 with capacity 2,\nan edge from node 16 to node 11 with capacity 17,\nan edge from node 16 to node 0 with capacity 6,\nan edge from node 16 to node 14 with capacity 12,\nan edge from node 17 to node 9 with capacity 17,\nan edge from node 17 to node 16 with capacity 7,\nan edge from node 17 to node 5 with capacity 3,\nan edge from node 17 to node 12 with capacity 2,\nan edge from node 18 to node 5 with capacity 10,\nan edge from node 18 to node 7 with capacity 13,\nan edge from node 18 to node 0 with capacity 10,\nan edge from node 19 to node 9 with capacity 4,\nan edge from node 19 to node 13 with capacity 1,\nan edge from node 19 to node 16 with capacity 5,\nWhat is the maximum flow from node 15 to node 11:"
            },
            {
                "from": "gpt",
                "value": "21."
            }
        ]
    },
    {
        "id": "flow-hard-graph536",
        "image": "data/flow/graph_visual/hard/graph536.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 7 with capacity 6,\nan edge from node 0 to node 11 with capacity 19,\nan edge from node 1 to node 12 with capacity 3,\nan edge from node 1 to node 5 with capacity 4,\nan edge from node 2 to node 4 with capacity 7,\nan edge from node 2 to node 1 with capacity 9,\nan edge from node 2 to node 8 with capacity 4,\nan edge from node 2 to node 6 with capacity 12,\nan edge from node 3 to node 12 with capacity 16,\nan edge from node 3 to node 1 with capacity 17,\nan edge from node 3 to node 7 with capacity 18,\nan edge from node 3 to node 0 with capacity 5,\nan edge from node 3 to node 11 with capacity 8,\nan edge from node 3 to node 9 with capacity 3,\nan edge from node 4 to node 14 with capacity 10,\nan edge from node 4 to node 2 with capacity 2,\nan edge from node 4 to node 0 with capacity 15,\nan edge from node 4 to node 8 with capacity 7,\nan edge from node 5 to node 4 with capacity 10,\nan edge from node 5 to node 0 with capacity 11,\nan edge from node 5 to node 10 with capacity 11,\nan edge from node 6 to node 3 with capacity 11,\nan edge from node 6 to node 14 with capacity 11,\nan edge from node 6 to node 2 with capacity 17,\nan edge from node 6 to node 13 with capacity 7,\nan edge from node 6 to node 10 with capacity 11,\nan edge from node 7 to node 12 with capacity 6,\nan edge from node 7 to node 3 with capacity 3,\nan edge from node 7 to node 2 with capacity 13,\nan edge from node 7 to node 9 with capacity 12,\nan edge from node 8 to node 12 with capacity 5,\nan edge from node 8 to node 5 with capacity 4,\nan edge from node 8 to node 7 with capacity 1,\nan edge from node 8 to node 10 with capacity 5,\nan edge from node 9 to node 4 with capacity 7,\nan edge from node 9 to node 5 with capacity 1,\nan edge from node 9 to node 7 with capacity 8,\nan edge from node 10 to node 12 with capacity 20,\nan edge from node 10 to node 1 with capacity 13,\nan edge from node 10 to node 8 with capacity 10,\nan edge from node 10 to node 9 with capacity 3,\nan edge from node 11 to node 1 with capacity 2,\nan edge from node 11 to node 3 with capacity 5,\nan edge from node 12 to node 14 with capacity 18,\nan edge from node 13 to node 5 with capacity 14,\nan edge from node 13 to node 14 with capacity 11,\nan edge from node 13 to node 2 with capacity 7,\nan edge from node 13 to node 11 with capacity 7,\nan edge from node 13 to node 8 with capacity 12,\nan edge from node 14 to node 4 with capacity 3,\nan edge from node 14 to node 12 with capacity 11,\nan edge from node 14 to node 1 with capacity 20,\nan edge from node 14 to node 7 with capacity 9,\nan edge from node 14 to node 11 with capacity 18,\nWhat is the maximum flow from node 7 to node 13:"
            },
            {
                "from": "gpt",
                "value": "7."
            }
        ]
    },
    {
        "id": "flow-hard-graph624",
        "image": "data/flow/graph_visual/hard/graph624.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 5 with capacity 12,\nan edge from node 0 to node 11 with capacity 9,\nan edge from node 0 to node 8 with capacity 10,\nan edge from node 1 to node 3 with capacity 13,\nan edge from node 1 to node 13 with capacity 19,\nan edge from node 1 to node 15 with capacity 20,\nan edge from node 2 to node 9 with capacity 11,\nan edge from node 2 to node 6 with capacity 14,\nan edge from node 2 to node 10 with capacity 5,\nan edge from node 3 to node 5 with capacity 15,\nan edge from node 4 to node 3 with capacity 2,\nan edge from node 4 to node 13 with capacity 14,\nan edge from node 4 to node 14 with capacity 5,\nan edge from node 4 to node 5 with capacity 11,\nan edge from node 5 to node 13 with capacity 2,\nan edge from node 5 to node 12 with capacity 3,\nan edge from node 5 to node 7 with capacity 3,\nan edge from node 5 to node 1 with capacity 15,\nan edge from node 6 to node 3 with capacity 17,\nan edge from node 6 to node 9 with capacity 17,\nan edge from node 6 to node 13 with capacity 1,\nan edge from node 6 to node 12 with capacity 20,\nan edge from node 6 to node 8 with capacity 16,\nan edge from node 7 to node 12 with capacity 4,\nan edge from node 7 to node 10 with capacity 7,\nan edge from node 8 to node 0 with capacity 18,\nan edge from node 8 to node 5 with capacity 2,\nan edge from node 8 to node 4 with capacity 14,\nan edge from node 9 to node 3 with capacity 16,\nan edge from node 9 to node 13 with capacity 12,\nan edge from node 9 to node 7 with capacity 13,\nan edge from node 9 to node 5 with capacity 14,\nan edge from node 9 to node 8 with capacity 6,\nan edge from node 9 to node 15 with capacity 16,\nan edge from node 10 to node 0 with capacity 18,\nan edge from node 10 to node 9 with capacity 13,\nan edge from node 10 to node 6 with capacity 3,\nan edge from node 10 to node 11 with capacity 18,\nan edge from node 10 to node 4 with capacity 11,\nan edge from node 11 to node 13 with capacity 18,\nan edge from node 11 to node 12 with capacity 12,\nan edge from node 11 to node 8 with capacity 13,\nan edge from node 11 to node 2 with capacity 4,\nan edge from node 12 to node 3 with capacity 1,\nan edge from node 12 to node 9 with capacity 18,\nan edge from node 12 to node 13 with capacity 1,\nan edge from node 12 to node 14 with capacity 5,\nan edge from node 13 to node 0 with capacity 11,\nan edge from node 13 to node 6 with capacity 1,\nan edge from node 13 to node 5 with capacity 8,\nan edge from node 13 to node 2 with capacity 11,\nan edge from node 14 to node 5 with capacity 12,\nan edge from node 14 to node 10 with capacity 8,\nan edge from node 15 to node 12 with capacity 9,\nan edge from node 15 to node 7 with capacity 17,\nan edge from node 15 to node 14 with capacity 6,\nan edge from node 15 to node 10 with capacity 8,\nan edge from node 15 to node 4 with capacity 3,\nWhat is the maximum flow from node 2 to node 11:"
            },
            {
                "from": "gpt",
                "value": "27."
            }
        ]
    },
    {
        "id": "flow-hard-graph1080",
        "image": "data/flow/graph_visual/hard/graph1080.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 18 with capacity 9,\nan edge from node 0 to node 1 with capacity 17,\nan edge from node 0 to node 4 with capacity 12,\nan edge from node 0 to node 2 with capacity 1,\nan edge from node 0 to node 5 with capacity 15,\nan edge from node 0 to node 9 with capacity 10,\nan edge from node 0 to node 15 with capacity 1,\nan edge from node 0 to node 19 with capacity 3,\nan edge from node 0 to node 13 with capacity 5,\nan edge from node 0 to node 14 with capacity 9,\nan edge from node 1 to node 3 with capacity 14,\nan edge from node 1 to node 12 with capacity 19,\nan edge from node 1 to node 5 with capacity 5,\nan edge from node 1 to node 9 with capacity 18,\nan edge from node 1 to node 7 with capacity 14,\nan edge from node 2 to node 18 with capacity 8,\nan edge from node 2 to node 4 with capacity 2,\nan edge from node 2 to node 0 with capacity 19,\nan edge from node 2 to node 8 with capacity 12,\nan edge from node 3 to node 16 with capacity 8,\nan edge from node 3 to node 2 with capacity 20,\nan edge from node 3 to node 12 with capacity 11,\nan edge from node 3 to node 15 with capacity 10,\nan edge from node 3 to node 19 with capacity 2,\nan edge from node 3 to node 17 with capacity 10,\nan edge from node 4 to node 18 with capacity 10,\nan edge from node 4 to node 1 with capacity 17,\nan edge from node 4 to node 15 with capacity 3,\nan edge from node 4 to node 7 with capacity 4,\nan edge from node 4 to node 14 with capacity 1,\nan edge from node 5 to node 3 with capacity 5,\nan edge from node 5 to node 1 with capacity 17,\nan edge from node 5 to node 4 with capacity 17,\nan edge from node 5 to node 2 with capacity 18,\nan edge from node 5 to node 12 with capacity 4,\nan edge from node 5 to node 9 with capacity 9,\nan edge from node 5 to node 0 with capacity 9,\nan edge from node 5 to node 15 with capacity 2,\nan edge from node 5 to node 17 with capacity 6,\nan edge from node 5 to node 13 with capacity 7,\nan edge from node 5 to node 10 with capacity 5,\nan edge from node 6 to node 9 with capacity 1,\nan edge from node 6 to node 0 with capacity 13,\nan edge from node 6 to node 15 with capacity 9,\nan edge from node 7 to node 18 with capacity 16,\nan edge from node 7 to node 16 with capacity 20,\nan edge from node 7 to node 1 with capacity 17,\nan edge from node 7 to node 12 with capacity 10,\nan edge from node 7 to node 9 with capacity 13,\nan edge from node 8 to node 18 with capacity 17,\nan edge from node 8 to node 16 with capacity 11,\nan edge from node 8 to node 3 with capacity 12,\nan edge from node 8 to node 2 with capacity 8,\nan edge from node 8 to node 6 with capacity 14,\nan edge from node 8 to node 15 with capacity 11,\nan edge from node 8 to node 19 with capacity 6,\nan edge from node 8 to node 10 with capacity 19,\nan edge from node 9 to node 16 with capacity 9,\nan edge from node 9 to node 12 with capacity 5,\nan edge from node 9 to node 11 with capacity 1,\nan edge from node 9 to node 13 with capacity 20,\nan edge from node 10 to node 1 with capacity 8,\nan edge from node 10 to node 2 with capacity 18,\nan edge from node 10 to node 9 with capacity 1,\nan edge from node 10 to node 11 with capacity 14,\nan edge from node 10 to node 8 with capacity 10,\nan edge from node 10 to node 19 with capacity 17,\nan edge from node 10 to node 17 with capacity 11,\nan edge from node 10 to node 13 with capacity 9,\nan edge from node 10 to node 14 with capacity 17,\nan edge from node 11 to node 18 with capacity 14,\nan edge from node 11 to node 16 with capacity 13,\nan edge from node 11 to node 12 with capacity 6,\nan edge from node 11 to node 19 with capacity 13,\nan edge from node 11 to node 10 with capacity 12,\nan edge from node 11 to node 14 with capacity 15,\nan edge from node 12 to node 11 with capacity 10,\nan edge from node 12 to node 15 with capacity 20,\nan edge from node 12 to node 10 with capacity 3,\nan edge from node 13 to node 3 with capacity 10,\nan edge from node 13 to node 6 with capacity 9,\nan edge from node 13 to node 11 with capacity 11,\nan edge from node 13 to node 15 with capacity 15,\nan edge from node 13 to node 7 with capacity 11,\nan edge from node 14 to node 1 with capacity 5,\nan edge from node 14 to node 12 with capacity 14,\nan edge from node 15 to node 16 with capacity 6,\nan edge from node 15 to node 6 with capacity 15,\nan edge from node 15 to node 5 with capacity 20,\nan edge from node 15 to node 11 with capacity 18,\nan edge from node 15 to node 8 with capacity 11,\nan edge from node 16 to node 11 with capacity 15,\nan edge from node 16 to node 19 with capacity 16,\nan edge from node 16 to node 17 with capacity 11,\nan edge from node 17 to node 1 with capacity 20,\nan edge from node 17 to node 2 with capacity 15,\nan edge from node 17 to node 12 with capacity 3,\nan edge from node 17 to node 8 with capacity 6,\nan edge from node 18 to node 9 with capacity 7,\nan edge from node 18 to node 7 with capacity 16,\nan edge from node 18 to node 13 with capacity 2,\nan edge from node 19 to node 9 with capacity 18,\nan edge from node 19 to node 0 with capacity 3,\nan edge from node 19 to node 14 with capacity 8,\nWhat is the maximum flow from node 5 to node 0:"
            },
            {
                "from": "gpt",
                "value": "44."
            }
        ]
    },
    {
        "id": "flow-hard-graph49",
        "image": "data/flow/graph_visual/hard/graph49.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 5 with capacity 4,\nan edge from node 0 to node 4 with capacity 14,\nan edge from node 0 to node 9 with capacity 17,\nan edge from node 1 to node 5 with capacity 7,\nan edge from node 1 to node 2 with capacity 20,\nan edge from node 2 to node 5 with capacity 8,\nan edge from node 2 to node 8 with capacity 7,\nan edge from node 2 to node 4 with capacity 15,\nan edge from node 3 to node 6 with capacity 3,\nan edge from node 4 to node 7 with capacity 19,\nan edge from node 4 to node 2 with capacity 4,\nan edge from node 4 to node 0 with capacity 12,\nan edge from node 4 to node 10 with capacity 19,\nan edge from node 5 to node 1 with capacity 5,\nan edge from node 5 to node 0 with capacity 4,\nan edge from node 5 to node 9 with capacity 2,\nan edge from node 6 to node 8 with capacity 12,\nan edge from node 7 to node 4 with capacity 3,\nan edge from node 7 to node 2 with capacity 10,\nan edge from node 7 to node 10 with capacity 8,\nan edge from node 8 to node 4 with capacity 1,\nan edge from node 8 to node 7 with capacity 2,\nan edge from node 8 to node 0 with capacity 3,\nan edge from node 9 to node 2 with capacity 14,\nan edge from node 9 to node 6 with capacity 15,\nan edge from node 10 to node 5 with capacity 5,\nan edge from node 10 to node 4 with capacity 3,\nan edge from node 10 to node 0 with capacity 4,\nWhat is the maximum flow from node 4 to node 0:"
            },
            {
                "from": "gpt",
                "value": "23."
            }
        ]
    },
    {
        "id": "flow-hard-graph609",
        "image": "data/flow/graph_visual/hard/graph609.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 10 with capacity 5,\nan edge from node 0 to node 7 with capacity 13,\nan edge from node 0 to node 4 with capacity 20,\nan edge from node 0 to node 3 with capacity 2,\nan edge from node 0 to node 9 with capacity 18,\nan edge from node 1 to node 5 with capacity 8,\nan edge from node 1 to node 4 with capacity 19,\nan edge from node 1 to node 13 with capacity 1,\nan edge from node 1 to node 9 with capacity 2,\nan edge from node 2 to node 8 with capacity 7,\nan edge from node 2 to node 9 with capacity 18,\nan edge from node 3 to node 0 with capacity 16,\nan edge from node 3 to node 2 with capacity 14,\nan edge from node 3 to node 7 with capacity 12,\nan edge from node 4 to node 0 with capacity 16,\nan edge from node 4 to node 12 with capacity 15,\nan edge from node 4 to node 15 with capacity 17,\nan edge from node 4 to node 3 with capacity 2,\nan edge from node 4 to node 6 with capacity 3,\nan edge from node 5 to node 0 with capacity 9,\nan edge from node 5 to node 2 with capacity 2,\nan edge from node 5 to node 7 with capacity 7,\nan edge from node 5 to node 11 with capacity 12,\nan edge from node 6 to node 11 with capacity 10,\nan edge from node 6 to node 13 with capacity 6,\nan edge from node 7 to node 10 with capacity 1,\nan edge from node 7 to node 12 with capacity 10,\nan edge from node 7 to node 8 with capacity 14,\nan edge from node 7 to node 13 with capacity 7,\nan edge from node 7 to node 3 with capacity 19,\nan edge from node 8 to node 2 with capacity 2,\nan edge from node 8 to node 10 with capacity 8,\nan edge from node 8 to node 3 with capacity 13,\nan edge from node 9 to node 8 with capacity 16,\nan edge from node 9 to node 6 with capacity 13,\nan edge from node 10 to node 2 with capacity 15,\nan edge from node 10 to node 7 with capacity 2,\nan edge from node 10 to node 12 with capacity 9,\nan edge from node 10 to node 8 with capacity 2,\nan edge from node 10 to node 5 with capacity 9,\nan edge from node 10 to node 3 with capacity 11,\nan edge from node 10 to node 9 with capacity 6,\nan edge from node 10 to node 6 with capacity 16,\nan edge from node 11 to node 0 with capacity 17,\nan edge from node 11 to node 14 with capacity 17,\nan edge from node 11 to node 4 with capacity 20,\nan edge from node 12 to node 7 with capacity 11,\nan edge from node 12 to node 8 with capacity 20,\nan edge from node 12 to node 9 with capacity 13,\nan edge from node 12 to node 6 with capacity 4,\nan edge from node 13 to node 2 with capacity 19,\nan edge from node 13 to node 11 with capacity 3,\nan edge from node 14 to node 10 with capacity 11,\nan edge from node 14 to node 7 with capacity 2,\nan edge from node 14 to node 11 with capacity 9,\nan edge from node 14 to node 4 with capacity 17,\nan edge from node 14 to node 3 with capacity 20,\nan edge from node 14 to node 6 with capacity 7,\nan edge from node 15 to node 7 with capacity 6,\nan edge from node 15 to node 12 with capacity 20,\nan edge from node 15 to node 1 with capacity 7,\nan edge from node 15 to node 4 with capacity 18,\nWhat is the maximum flow from node 9 to node 1:"
            },
            {
                "from": "gpt",
                "value": "7."
            }
        ]
    },
    {
        "id": "flow-hard-graph212",
        "image": "data/flow/graph_visual/hard/graph212.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 3 with capacity 14,\nan edge from node 0 to node 9 with capacity 5,\nan edge from node 0 to node 5 with capacity 14,\nan edge from node 0 to node 1 with capacity 10,\nan edge from node 1 to node 3 with capacity 14,\nan edge from node 1 to node 10 with capacity 11,\nan edge from node 1 to node 9 with capacity 13,\nan edge from node 1 to node 7 with capacity 2,\nan edge from node 1 to node 8 with capacity 17,\nan edge from node 2 to node 3 with capacity 15,\nan edge from node 2 to node 6 with capacity 10,\nan edge from node 2 to node 4 with capacity 17,\nan edge from node 2 to node 9 with capacity 12,\nan edge from node 3 to node 6 with capacity 11,\nan edge from node 3 to node 4 with capacity 8,\nan edge from node 3 to node 10 with capacity 19,\nan edge from node 3 to node 9 with capacity 13,\nan edge from node 4 to node 3 with capacity 18,\nan edge from node 4 to node 9 with capacity 11,\nan edge from node 4 to node 2 with capacity 18,\nan edge from node 5 to node 6 with capacity 9,\nan edge from node 6 to node 10 with capacity 3,\nan edge from node 6 to node 5 with capacity 5,\nan edge from node 7 to node 4 with capacity 20,\nan edge from node 7 to node 0 with capacity 12,\nan edge from node 7 to node 10 with capacity 9,\nan edge from node 7 to node 11 with capacity 20,\nan edge from node 7 to node 1 with capacity 20,\nan edge from node 8 to node 4 with capacity 11,\nan edge from node 8 to node 10 with capacity 19,\nan edge from node 9 to node 3 with capacity 7,\nan edge from node 9 to node 4 with capacity 13,\nan edge from node 9 to node 2 with capacity 4,\nan edge from node 10 to node 3 with capacity 17,\nan edge from node 10 to node 6 with capacity 11,\nan edge from node 11 to node 6 with capacity 20,\nan edge from node 11 to node 0 with capacity 13,\nan edge from node 11 to node 10 with capacity 2,\nan edge from node 11 to node 9 with capacity 19,\nan edge from node 11 to node 2 with capacity 16,\nan edge from node 11 to node 8 with capacity 3,\nWhat is the maximum flow from node 0 to node 2:"
            },
            {
                "from": "gpt",
                "value": "24."
            }
        ]
    },
    {
        "id": "flow-hard-graph724",
        "image": "data/flow/graph_visual/hard/graph724.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 15 with capacity 4,\nan edge from node 0 to node 11 with capacity 2,\nan edge from node 0 to node 16 with capacity 8,\nan edge from node 0 to node 14 with capacity 18,\nan edge from node 1 to node 4 with capacity 20,\nan edge from node 2 to node 4 with capacity 20,\nan edge from node 2 to node 7 with capacity 14,\nan edge from node 2 to node 11 with capacity 3,\nan edge from node 2 to node 8 with capacity 17,\nan edge from node 3 to node 0 with capacity 3,\nan edge from node 3 to node 6 with capacity 12,\nan edge from node 4 to node 16 with capacity 5,\nan edge from node 5 to node 2 with capacity 9,\nan edge from node 5 to node 15 with capacity 14,\nan edge from node 5 to node 12 with capacity 11,\nan edge from node 5 to node 3 with capacity 6,\nan edge from node 5 to node 11 with capacity 12,\nan edge from node 5 to node 9 with capacity 19,\nan edge from node 6 to node 2 with capacity 9,\nan edge from node 6 to node 15 with capacity 7,\nan edge from node 6 to node 12 with capacity 1,\nan edge from node 6 to node 1 with capacity 12,\nan edge from node 6 to node 16 with capacity 2,\nan edge from node 6 to node 14 with capacity 20,\nan edge from node 7 to node 4 with capacity 18,\nan edge from node 7 to node 5 with capacity 9,\nan edge from node 7 to node 10 with capacity 6,\nan edge from node 7 to node 11 with capacity 5,\nan edge from node 7 to node 16 with capacity 16,\nan edge from node 7 to node 6 with capacity 3,\nan edge from node 8 to node 15 with capacity 8,\nan edge from node 8 to node 4 with capacity 11,\nan edge from node 9 to node 2 with capacity 6,\nan edge from node 9 to node 4 with capacity 6,\nan edge from node 9 to node 12 with capacity 10,\nan edge from node 9 to node 7 with capacity 20,\nan edge from node 9 to node 5 with capacity 18,\nan edge from node 9 to node 11 with capacity 15,\nan edge from node 10 to node 5 with capacity 11,\nan edge from node 10 to node 3 with capacity 6,\nan edge from node 10 to node 11 with capacity 15,\nan edge from node 10 to node 13 with capacity 5,\nan edge from node 11 to node 15 with capacity 9,\nan edge from node 11 to node 5 with capacity 3,\nan edge from node 11 to node 1 with capacity 8,\nan edge from node 11 to node 9 with capacity 2,\nan edge from node 11 to node 13 with capacity 14,\nan edge from node 11 to node 14 with capacity 4,\nan edge from node 12 to node 6 with capacity 13,\nan edge from node 13 to node 7 with capacity 16,\nan edge from node 14 to node 15 with capacity 20,\nan edge from node 14 to node 7 with capacity 15,\nan edge from node 14 to node 0 with capacity 7,\nan edge from node 14 to node 5 with capacity 19,\nan edge from node 14 to node 1 with capacity 10,\nan edge from node 14 to node 9 with capacity 13,\nan edge from node 15 to node 1 with capacity 17,\nan edge from node 15 to node 9 with capacity 6,\nan edge from node 15 to node 14 with capacity 4,\nan edge from node 15 to node 8 with capacity 15,\nan edge from node 15 to node 6 with capacity 1,\nan edge from node 16 to node 12 with capacity 12,\nan edge from node 16 to node 5 with capacity 11,\nan edge from node 16 to node 10 with capacity 1,\nan edge from node 16 to node 3 with capacity 16,\nan edge from node 16 to node 9 with capacity 6,\nan edge from node 16 to node 6 with capacity 16,\nWhat is the maximum flow from node 10 to node 14:"
            },
            {
                "from": "gpt",
                "value": "31."
            }
        ]
    },
    {
        "id": "flow-hard-graph1166",
        "image": "data/flow/graph_visual/hard/graph1166.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 1 with capacity 3,\nan edge from node 0 to node 8 with capacity 4,\nan edge from node 0 to node 4 with capacity 19,\nan edge from node 1 to node 0 with capacity 14,\nan edge from node 1 to node 9 with capacity 13,\nan edge from node 1 to node 13 with capacity 14,\nan edge from node 1 to node 11 with capacity 12,\nan edge from node 2 to node 7 with capacity 19,\nan edge from node 3 to node 14 with capacity 6,\nan edge from node 3 to node 9 with capacity 16,\nan edge from node 3 to node 2 with capacity 20,\nan edge from node 4 to node 17 with capacity 17,\nan edge from node 4 to node 11 with capacity 17,\nan edge from node 5 to node 18 with capacity 7,\nan edge from node 5 to node 3 with capacity 15,\nan edge from node 5 to node 9 with capacity 13,\nan edge from node 5 to node 12 with capacity 1,\nan edge from node 5 to node 7 with capacity 13,\nan edge from node 6 to node 0 with capacity 10,\nan edge from node 7 to node 17 with capacity 15,\nan edge from node 7 to node 18 with capacity 8,\nan edge from node 7 to node 19 with capacity 11,\nan edge from node 7 to node 13 with capacity 15,\nan edge from node 7 to node 11 with capacity 20,\nan edge from node 7 to node 16 with capacity 1,\nan edge from node 7 to node 15 with capacity 9,\nan edge from node 7 to node 12 with capacity 15,\nan edge from node 8 to node 17 with capacity 7,\nan edge from node 8 to node 5 with capacity 9,\nan edge from node 8 to node 11 with capacity 16,\nan edge from node 8 to node 4 with capacity 15,\nan edge from node 9 to node 10 with capacity 9,\nan edge from node 9 to node 13 with capacity 9,\nan edge from node 9 to node 11 with capacity 11,\nan edge from node 9 to node 6 with capacity 14,\nan edge from node 9 to node 7 with capacity 6,\nan edge from node 10 to node 1 with capacity 17,\nan edge from node 10 to node 0 with capacity 18,\nan edge from node 10 to node 11 with capacity 8,\nan edge from node 10 to node 16 with capacity 2,\nan edge from node 11 to node 8 with capacity 4,\nan edge from node 11 to node 3 with capacity 10,\nan edge from node 11 to node 6 with capacity 1,\nan edge from node 12 to node 17 with capacity 16,\nan edge from node 12 to node 11 with capacity 2,\nan edge from node 12 to node 16 with capacity 13,\nan edge from node 12 to node 6 with capacity 16,\nan edge from node 13 to node 17 with capacity 15,\nan edge from node 13 to node 10 with capacity 15,\nan edge from node 13 to node 15 with capacity 4,\nan edge from node 13 to node 2 with capacity 5,\nan edge from node 13 to node 4 with capacity 8,\nan edge from node 13 to node 7 with capacity 13,\nan edge from node 14 to node 13 with capacity 9,\nan edge from node 14 to node 15 with capacity 7,\nan edge from node 14 to node 4 with capacity 10,\nan edge from node 14 to node 7 with capacity 1,\nan edge from node 15 to node 17 with capacity 14,\nan edge from node 15 to node 10 with capacity 15,\nan edge from node 15 to node 5 with capacity 20,\nan edge from node 15 to node 12 with capacity 20,\nan edge from node 16 to node 14 with capacity 2,\nan edge from node 16 to node 8 with capacity 17,\nan edge from node 16 to node 18 with capacity 16,\nan edge from node 16 to node 3 with capacity 12,\nan edge from node 16 to node 6 with capacity 1,\nan edge from node 16 to node 2 with capacity 3,\nan edge from node 17 to node 0 with capacity 12,\nan edge from node 17 to node 18 with capacity 19,\nan edge from node 17 to node 5 with capacity 4,\nan edge from node 17 to node 11 with capacity 2,\nan edge from node 17 to node 2 with capacity 17,\nan edge from node 17 to node 12 with capacity 12,\nan edge from node 18 to node 0 with capacity 1,\nan edge from node 18 to node 9 with capacity 1,\nan edge from node 18 to node 11 with capacity 10,\nan edge from node 18 to node 16 with capacity 12,\nan edge from node 18 to node 15 with capacity 9,\nan edge from node 19 to node 2 with capacity 20,\nWhat is the maximum flow from node 3 to node 10:"
            },
            {
                "from": "gpt",
                "value": "39."
            }
        ]
    },
    {
        "id": "flow-hard-graph367",
        "image": "data/flow/graph_visual/hard/graph367.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 3 with capacity 17,\nan edge from node 0 to node 1 with capacity 16,\nan edge from node 1 to node 3 with capacity 8,\nan edge from node 1 to node 0 with capacity 11,\nan edge from node 1 to node 5 with capacity 3,\nan edge from node 1 to node 8 with capacity 2,\nan edge from node 1 to node 9 with capacity 4,\nan edge from node 2 to node 4 with capacity 5,\nan edge from node 3 to node 8 with capacity 7,\nan edge from node 3 to node 10 with capacity 10,\nan edge from node 4 to node 1 with capacity 8,\nan edge from node 5 to node 6 with capacity 13,\nan edge from node 5 to node 10 with capacity 12,\nan edge from node 5 to node 9 with capacity 18,\nan edge from node 6 to node 3 with capacity 14,\nan edge from node 6 to node 4 with capacity 3,\nan edge from node 6 to node 13 with capacity 9,\nan edge from node 6 to node 9 with capacity 13,\nan edge from node 6 to node 1 with capacity 13,\nan edge from node 7 to node 4 with capacity 11,\nan edge from node 7 to node 0 with capacity 8,\nan edge from node 7 to node 5 with capacity 12,\nan edge from node 7 to node 10 with capacity 13,\nan edge from node 7 to node 1 with capacity 3,\nan edge from node 8 to node 11 with capacity 9,\nan edge from node 8 to node 4 with capacity 11,\nan edge from node 8 to node 7 with capacity 1,\nan edge from node 8 to node 10 with capacity 11,\nan edge from node 9 to node 2 with capacity 2,\nan edge from node 9 to node 5 with capacity 18,\nan edge from node 9 to node 8 with capacity 7,\nan edge from node 10 to node 0 with capacity 20,\nan edge from node 10 to node 1 with capacity 14,\nan edge from node 11 to node 0 with capacity 11,\nan edge from node 11 to node 6 with capacity 13,\nan edge from node 11 to node 7 with capacity 14,\nan edge from node 12 to node 2 with capacity 8,\nan edge from node 12 to node 5 with capacity 13,\nan edge from node 12 to node 8 with capacity 15,\nan edge from node 12 to node 10 with capacity 10,\nan edge from node 13 to node 3 with capacity 2,\nan edge from node 13 to node 0 with capacity 19,\nWhat is the maximum flow from node 6 to node 0:"
            },
            {
                "from": "gpt",
                "value": "50."
            }
        ]
    },
    {
        "id": "flow-hard-graph892",
        "image": "data/flow/graph_visual/hard/graph892.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 1 with capacity 17,\nan edge from node 0 to node 17 with capacity 3,\nan edge from node 0 to node 5 with capacity 13,\nan edge from node 0 to node 4 with capacity 1,\nan edge from node 0 to node 2 with capacity 16,\nan edge from node 0 to node 10 with capacity 4,\nan edge from node 1 to node 11 with capacity 1,\nan edge from node 1 to node 2 with capacity 1,\nan edge from node 1 to node 14 with capacity 18,\nan edge from node 2 to node 1 with capacity 9,\nan edge from node 2 to node 17 with capacity 20,\nan edge from node 2 to node 11 with capacity 5,\nan edge from node 2 to node 14 with capacity 6,\nan edge from node 2 to node 13 with capacity 5,\nan edge from node 3 to node 16 with capacity 13,\nan edge from node 3 to node 12 with capacity 13,\nan edge from node 3 to node 14 with capacity 7,\nan edge from node 4 to node 11 with capacity 17,\nan edge from node 4 to node 0 with capacity 2,\nan edge from node 4 to node 10 with capacity 14,\nan edge from node 4 to node 6 with capacity 12,\nan edge from node 4 to node 14 with capacity 6,\nan edge from node 5 to node 15 with capacity 5,\nan edge from node 5 to node 11 with capacity 15,\nan edge from node 5 to node 2 with capacity 13,\nan edge from node 6 to node 15 with capacity 18,\nan edge from node 6 to node 12 with capacity 8,\nan edge from node 6 to node 0 with capacity 4,\nan edge from node 6 to node 8 with capacity 6,\nan edge from node 6 to node 9 with capacity 3,\nan edge from node 7 to node 15 with capacity 5,\nan edge from node 7 to node 11 with capacity 4,\nan edge from node 7 to node 3 with capacity 16,\nan edge from node 7 to node 10 with capacity 2,\nan edge from node 8 to node 16 with capacity 10,\nan edge from node 8 to node 3 with capacity 20,\nan edge from node 8 to node 0 with capacity 17,\nan edge from node 8 to node 10 with capacity 7,\nan edge from node 9 to node 15 with capacity 20,\nan edge from node 9 to node 17 with capacity 7,\nan edge from node 9 to node 16 with capacity 14,\nan edge from node 9 to node 8 with capacity 7,\nan edge from node 9 to node 6 with capacity 20,\nan edge from node 11 to node 3 with capacity 10,\nan edge from node 11 to node 2 with capacity 11,\nan edge from node 11 to node 14 with capacity 9,\nan edge from node 11 to node 13 with capacity 20,\nan edge from node 12 to node 15 with capacity 11,\nan edge from node 12 to node 17 with capacity 10,\nan edge from node 12 to node 4 with capacity 9,\nan edge from node 12 to node 8 with capacity 3,\nan edge from node 12 to node 7 with capacity 5,\nan edge from node 13 to node 16 with capacity 1,\nan edge from node 13 to node 2 with capacity 1,\nan edge from node 13 to node 10 with capacity 2,\nan edge from node 13 to node 14 with capacity 6,\nan edge from node 14 to node 16 with capacity 14,\nan edge from node 15 to node 1 with capacity 1,\nan edge from node 15 to node 12 with capacity 7,\nan edge from node 15 to node 4 with capacity 1,\nan edge from node 15 to node 0 with capacity 10,\nan edge from node 16 to node 15 with capacity 2,\nan edge from node 16 to node 1 with capacity 2,\nan edge from node 16 to node 12 with capacity 18,\nan edge from node 16 to node 3 with capacity 7,\nan edge from node 16 to node 6 with capacity 4,\nan edge from node 16 to node 9 with capacity 13,\nan edge from node 17 to node 15 with capacity 8,\nan edge from node 17 to node 1 with capacity 13,\nan edge from node 17 to node 16 with capacity 18,\nan edge from node 17 to node 11 with capacity 17,\nan edge from node 17 to node 3 with capacity 4,\nan edge from node 17 to node 0 with capacity 5,\nWhat is the maximum flow from node 9 to node 16:"
            },
            {
                "from": "gpt",
                "value": "65."
            }
        ]
    },
    {
        "id": "flow-hard-graph1062",
        "image": "data/flow/graph_visual/hard/graph1062.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 10 with capacity 16,\nan edge from node 0 to node 6 with capacity 20,\nan edge from node 0 to node 18 with capacity 10,\nan edge from node 0 to node 14 with capacity 12,\nan edge from node 0 to node 11 with capacity 9,\nan edge from node 0 to node 3 with capacity 18,\nan edge from node 1 to node 7 with capacity 14,\nan edge from node 1 to node 15 with capacity 14,\nan edge from node 1 to node 3 with capacity 12,\nan edge from node 2 to node 4 with capacity 3,\nan edge from node 3 to node 7 with capacity 10,\nan edge from node 3 to node 18 with capacity 19,\nan edge from node 3 to node 5 with capacity 13,\nan edge from node 3 to node 16 with capacity 7,\nan edge from node 3 to node 14 with capacity 10,\nan edge from node 3 to node 9 with capacity 18,\nan edge from node 4 to node 7 with capacity 20,\nan edge from node 4 to node 18 with capacity 2,\nan edge from node 4 to node 15 with capacity 5,\nan edge from node 4 to node 14 with capacity 14,\nan edge from node 4 to node 8 with capacity 10,\nan edge from node 5 to node 7 with capacity 18,\nan edge from node 5 to node 16 with capacity 16,\nan edge from node 5 to node 0 with capacity 18,\nan edge from node 5 to node 17 with capacity 20,\nan edge from node 6 to node 18 with capacity 8,\nan edge from node 6 to node 4 with capacity 1,\nan edge from node 6 to node 14 with capacity 8,\nan edge from node 6 to node 8 with capacity 11,\nan edge from node 6 to node 17 with capacity 17,\nan edge from node 6 to node 3 with capacity 7,\nan edge from node 7 to node 6 with capacity 10,\nan edge from node 7 to node 11 with capacity 9,\nan edge from node 7 to node 17 with capacity 4,\nan edge from node 7 to node 1 with capacity 11,\nan edge from node 8 to node 7 with capacity 1,\nan edge from node 8 to node 10 with capacity 8,\nan edge from node 8 to node 5 with capacity 3,\nan edge from node 8 to node 15 with capacity 6,\nan edge from node 8 to node 11 with capacity 4,\nan edge from node 8 to node 9 with capacity 15,\nan edge from node 8 to node 13 with capacity 8,\nan edge from node 9 to node 7 with capacity 2,\nan edge from node 9 to node 18 with capacity 11,\nan edge from node 9 to node 16 with capacity 6,\nan edge from node 9 to node 0 with capacity 12,\nan edge from node 9 to node 3 with capacity 16,\nan edge from node 9 to node 1 with capacity 9,\nan edge from node 10 to node 6 with capacity 8,\nan edge from node 10 to node 16 with capacity 20,\nan edge from node 11 to node 5 with capacity 15,\nan edge from node 11 to node 15 with capacity 3,\nan edge from node 11 to node 4 with capacity 6,\nan edge from node 12 to node 10 with capacity 6,\nan edge from node 12 to node 6 with capacity 12,\nan edge from node 12 to node 5 with capacity 8,\nan edge from node 12 to node 15 with capacity 9,\nan edge from node 12 to node 16 with capacity 8,\nan edge from node 12 to node 0 with capacity 20,\nan edge from node 12 to node 11 with capacity 19,\nan edge from node 12 to node 17 with capacity 1,\nan edge from node 12 to node 1 with capacity 10,\nan edge from node 13 to node 18 with capacity 20,\nan edge from node 13 to node 14 with capacity 12,\nan edge from node 14 to node 2 with capacity 14,\nan edge from node 14 to node 6 with capacity 14,\nan edge from node 14 to node 5 with capacity 11,\nan edge from node 14 to node 4 with capacity 5,\nan edge from node 14 to node 0 with capacity 4,\nan edge from node 14 to node 11 with capacity 7,\nan edge from node 14 to node 3 with capacity 1,\nan edge from node 15 to node 18 with capacity 12,\nan edge from node 16 to node 10 with capacity 7,\nan edge from node 16 to node 6 with capacity 10,\nan edge from node 16 to node 18 with capacity 10,\nan edge from node 16 to node 5 with capacity 19,\nan edge from node 16 to node 14 with capacity 8,\nan edge from node 16 to node 12 with capacity 1,\nan edge from node 17 to node 2 with capacity 19,\nan edge from node 17 to node 5 with capacity 1,\nan edge from node 17 to node 15 with capacity 12,\nan edge from node 17 to node 8 with capacity 11,\nan edge from node 17 to node 3 with capacity 16,\nan edge from node 17 to node 12 with capacity 2,\nan edge from node 17 to node 13 with capacity 10,\nan edge from node 18 to node 13 with capacity 20,\nWhat is the maximum flow from node 1 to node 7:"
            },
            {
                "from": "gpt",
                "value": "38."
            }
        ]
    },
    {
        "id": "flow-hard-graph1010",
        "image": "data/flow/graph_visual/hard/graph1010.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 8 with capacity 12,\nan edge from node 0 to node 1 with capacity 19,\nan edge from node 0 to node 6 with capacity 17,\nan edge from node 1 to node 4 with capacity 8,\nan edge from node 1 to node 11 with capacity 17,\nan edge from node 1 to node 10 with capacity 5,\nan edge from node 1 to node 13 with capacity 8,\nan edge from node 1 to node 14 with capacity 9,\nan edge from node 1 to node 15 with capacity 4,\nan edge from node 2 to node 17 with capacity 12,\nan edge from node 2 to node 15 with capacity 8,\nan edge from node 2 to node 16 with capacity 19,\nan edge from node 3 to node 5 with capacity 10,\nan edge from node 3 to node 8 with capacity 13,\nan edge from node 3 to node 18 with capacity 17,\nan edge from node 4 to node 2 with capacity 16,\nan edge from node 4 to node 13 with capacity 14,\nan edge from node 4 to node 15 with capacity 19,\nan edge from node 5 to node 2 with capacity 9,\nan edge from node 5 to node 18 with capacity 17,\nan edge from node 5 to node 6 with capacity 12,\nan edge from node 5 to node 15 with capacity 20,\nan edge from node 6 to node 5 with capacity 17,\nan edge from node 6 to node 10 with capacity 9,\nan edge from node 6 to node 1 with capacity 14,\nan edge from node 6 to node 13 with capacity 11,\nan edge from node 6 to node 15 with capacity 5,\nan edge from node 6 to node 16 with capacity 11,\nan edge from node 7 to node 13 with capacity 7,\nan edge from node 7 to node 9 with capacity 16,\nan edge from node 7 to node 0 with capacity 3,\nan edge from node 8 to node 5 with capacity 19,\nan edge from node 8 to node 17 with capacity 3,\nan edge from node 8 to node 1 with capacity 10,\nan edge from node 8 to node 6 with capacity 8,\nan edge from node 8 to node 14 with capacity 17,\nan edge from node 8 to node 15 with capacity 12,\nan edge from node 9 to node 5 with capacity 7,\nan edge from node 9 to node 18 with capacity 8,\nan edge from node 9 to node 12 with capacity 18,\nan edge from node 9 to node 14 with capacity 17,\nan edge from node 9 to node 15 with capacity 1,\nan edge from node 10 to node 1 with capacity 18,\nan edge from node 10 to node 9 with capacity 5,\nan edge from node 11 to node 8 with capacity 6,\nan edge from node 11 to node 17 with capacity 19,\nan edge from node 11 to node 6 with capacity 18,\nan edge from node 11 to node 7 with capacity 20,\nan edge from node 11 to node 9 with capacity 7,\nan edge from node 11 to node 15 with capacity 17,\nan edge from node 11 to node 16 with capacity 19,\nan edge from node 12 to node 2 with capacity 1,\nan edge from node 12 to node 11 with capacity 17,\nan edge from node 12 to node 8 with capacity 16,\nan edge from node 12 to node 14 with capacity 16,\nan edge from node 12 to node 3 with capacity 4,\nan edge from node 13 to node 8 with capacity 11,\nan edge from node 13 to node 10 with capacity 17,\nan edge from node 13 to node 7 with capacity 15,\nan edge from node 14 to node 4 with capacity 8,\nan edge from node 14 to node 17 with capacity 19,\nan edge from node 14 to node 10 with capacity 1,\nan edge from node 14 to node 18 with capacity 20,\nan edge from node 14 to node 3 with capacity 4,\nan edge from node 14 to node 0 with capacity 3,\nan edge from node 15 to node 7 with capacity 16,\nan edge from node 15 to node 3 with capacity 14,\nan edge from node 16 to node 8 with capacity 5,\nan edge from node 16 to node 10 with capacity 16,\nan edge from node 16 to node 18 with capacity 2,\nan edge from node 16 to node 12 with capacity 8,\nan edge from node 16 to node 13 with capacity 3,\nan edge from node 16 to node 3 with capacity 7,\nan edge from node 16 to node 15 with capacity 3,\nan edge from node 16 to node 0 with capacity 7,\nan edge from node 17 to node 5 with capacity 13,\nan edge from node 17 to node 1 with capacity 13,\nan edge from node 17 to node 13 with capacity 2,\nan edge from node 17 to node 6 with capacity 10,\nan edge from node 18 to node 6 with capacity 9,\nan edge from node 18 to node 0 with capacity 15,\nWhat is the maximum flow from node 3 to node 11:"
            },
            {
                "from": "gpt",
                "value": "34."
            }
        ]
    },
    {
        "id": "flow-hard-graph705",
        "image": "data/flow/graph_visual/hard/graph705.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 6 with capacity 13,\nan edge from node 0 to node 4 with capacity 2,\nan edge from node 0 to node 11 with capacity 18,\nan edge from node 0 to node 3 with capacity 11,\nan edge from node 0 to node 12 with capacity 11,\nan edge from node 1 to node 2 with capacity 3,\nan edge from node 1 to node 11 with capacity 17,\nan edge from node 1 to node 7 with capacity 11,\nan edge from node 2 to node 5 with capacity 1,\nan edge from node 2 to node 8 with capacity 3,\nan edge from node 2 to node 7 with capacity 8,\nan edge from node 2 to node 12 with capacity 20,\nan edge from node 3 to node 6 with capacity 2,\nan edge from node 3 to node 2 with capacity 12,\nan edge from node 3 to node 8 with capacity 8,\nan edge from node 3 to node 15 with capacity 19,\nan edge from node 4 to node 2 with capacity 5,\nan edge from node 4 to node 1 with capacity 12,\nan edge from node 4 to node 11 with capacity 13,\nan edge from node 4 to node 3 with capacity 13,\nan edge from node 4 to node 12 with capacity 3,\nan edge from node 4 to node 14 with capacity 12,\nan edge from node 5 to node 10 with capacity 3,\nan edge from node 5 to node 6 with capacity 9,\nan edge from node 5 to node 9 with capacity 15,\nan edge from node 5 to node 8 with capacity 11,\nan edge from node 5 to node 11 with capacity 4,\nan edge from node 6 to node 2 with capacity 17,\nan edge from node 6 to node 8 with capacity 7,\nan edge from node 7 to node 2 with capacity 10,\nan edge from node 7 to node 4 with capacity 4,\nan edge from node 7 to node 15 with capacity 18,\nan edge from node 8 to node 4 with capacity 1,\nan edge from node 8 to node 5 with capacity 17,\nan edge from node 8 to node 13 with capacity 16,\nan edge from node 8 to node 11 with capacity 13,\nan edge from node 8 to node 7 with capacity 11,\nan edge from node 8 to node 14 with capacity 12,\nan edge from node 9 to node 3 with capacity 17,\nan edge from node 10 to node 6 with capacity 5,\nan edge from node 10 to node 13 with capacity 8,\nan edge from node 10 to node 15 with capacity 1,\nan edge from node 10 to node 11 with capacity 11,\nan edge from node 10 to node 7 with capacity 19,\nan edge from node 10 to node 12 with capacity 15,\nan edge from node 10 to node 14 with capacity 6,\nan edge from node 12 to node 10 with capacity 4,\nan edge from node 12 to node 9 with capacity 1,\nan edge from node 12 to node 0 with capacity 4,\nan edge from node 12 to node 7 with capacity 14,\nan edge from node 13 to node 9 with capacity 17,\nan edge from node 13 to node 5 with capacity 20,\nan edge from node 13 to node 11 with capacity 10,\nan edge from node 13 to node 0 with capacity 1,\nan edge from node 14 to node 7 with capacity 2,\nan edge from node 15 to node 13 with capacity 9,\nan edge from node 15 to node 14 with capacity 9,\nWhat is the maximum flow from node 3 to node 5:"
            },
            {
                "from": "gpt",
                "value": "31."
            }
        ]
    },
    {
        "id": "flow-hard-graph464",
        "image": "data/flow/graph_visual/hard/graph464.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 12 with capacity 11,\nan edge from node 1 to node 4 with capacity 13,\nan edge from node 1 to node 5 with capacity 15,\nan edge from node 1 to node 13 with capacity 12,\nan edge from node 2 to node 7 with capacity 9,\nan edge from node 2 to node 1 with capacity 11,\nan edge from node 2 to node 13 with capacity 17,\nan edge from node 3 to node 4 with capacity 19,\nan edge from node 3 to node 6 with capacity 11,\nan edge from node 4 to node 3 with capacity 6,\nan edge from node 5 to node 1 with capacity 1,\nan edge from node 5 to node 12 with capacity 1,\nan edge from node 5 to node 13 with capacity 19,\nan edge from node 6 to node 4 with capacity 8,\nan edge from node 6 to node 0 with capacity 20,\nan edge from node 6 to node 13 with capacity 8,\nan edge from node 6 to node 8 with capacity 9,\nan edge from node 7 to node 5 with capacity 6,\nan edge from node 8 to node 7 with capacity 2,\nan edge from node 8 to node 1 with capacity 3,\nan edge from node 8 to node 9 with capacity 3,\nan edge from node 8 to node 10 with capacity 19,\nan edge from node 8 to node 5 with capacity 10,\nan edge from node 8 to node 13 with capacity 14,\nan edge from node 9 to node 7 with capacity 10,\nan edge from node 9 to node 1 with capacity 3,\nan edge from node 9 to node 2 with capacity 6,\nan edge from node 9 to node 11 with capacity 14,\nan edge from node 10 to node 9 with capacity 20,\nan edge from node 10 to node 12 with capacity 16,\nan edge from node 10 to node 2 with capacity 20,\nan edge from node 10 to node 11 with capacity 4,\nan edge from node 10 to node 6 with capacity 18,\nan edge from node 10 to node 8 with capacity 7,\nan edge from node 11 to node 4 with capacity 2,\nan edge from node 11 to node 10 with capacity 5,\nan edge from node 11 to node 2 with capacity 17,\nan edge from node 11 to node 3 with capacity 3,\nan edge from node 11 to node 6 with capacity 1,\nan edge from node 12 to node 7 with capacity 2,\nan edge from node 12 to node 4 with capacity 11,\nan edge from node 12 to node 3 with capacity 1,\nan edge from node 12 to node 6 with capacity 12,\nan edge from node 12 to node 0 with capacity 1,\nan edge from node 12 to node 13 with capacity 1,\nan edge from node 12 to node 8 with capacity 4,\nan edge from node 13 to node 1 with capacity 7,\nan edge from node 13 to node 5 with capacity 17,\nan edge from node 13 to node 6 with capacity 3,\nan edge from node 13 to node 0 with capacity 13,\nWhat is the maximum flow from node 3 to node 12:"
            },
            {
                "from": "gpt",
                "value": "11."
            }
        ]
    },
    {
        "id": "flow-hard-graph99",
        "image": "data/flow/graph_visual/hard/graph99.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 7 with capacity 4,\nan edge from node 1 to node 3 with capacity 11,\nan edge from node 2 to node 10 with capacity 13,\nan edge from node 3 to node 1 with capacity 5,\nan edge from node 3 to node 4 with capacity 9,\nan edge from node 3 to node 5 with capacity 9,\nan edge from node 4 to node 10 with capacity 2,\nan edge from node 4 to node 3 with capacity 7,\nan edge from node 5 to node 7 with capacity 18,\nan edge from node 6 to node 10 with capacity 3,\nan edge from node 6 to node 3 with capacity 17,\nan edge from node 6 to node 8 with capacity 13,\nan edge from node 6 to node 5 with capacity 3,\nan edge from node 7 to node 8 with capacity 18,\nan edge from node 8 to node 10 with capacity 5,\nan edge from node 8 to node 7 with capacity 20,\nan edge from node 9 to node 2 with capacity 2,\nan edge from node 9 to node 8 with capacity 15,\nan edge from node 10 to node 6 with capacity 9,\nan edge from node 10 to node 2 with capacity 18,\nan edge from node 10 to node 3 with capacity 18,\nan edge from node 10 to node 8 with capacity 2,\nan edge from node 10 to node 9 with capacity 9,\nWhat is the maximum flow from node 9 to node 7:"
            },
            {
                "from": "gpt",
                "value": "17."
            }
        ]
    },
    {
        "id": "flow-hard-graph472",
        "image": "data/flow/graph_visual/hard/graph472.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 5 with capacity 20,\nan edge from node 0 to node 11 with capacity 20,\nan edge from node 1 to node 10 with capacity 1,\nan edge from node 1 to node 9 with capacity 5,\nan edge from node 2 to node 10 with capacity 15,\nan edge from node 3 to node 6 with capacity 6,\nan edge from node 3 to node 10 with capacity 18,\nan edge from node 3 to node 12 with capacity 16,\nan edge from node 3 to node 7 with capacity 4,\nan edge from node 4 to node 0 with capacity 5,\nan edge from node 4 to node 7 with capacity 3,\nan edge from node 5 to node 7 with capacity 19,\nan edge from node 6 to node 4 with capacity 9,\nan edge from node 6 to node 5 with capacity 4,\nan edge from node 7 to node 4 with capacity 10,\nan edge from node 7 to node 5 with capacity 12,\nan edge from node 7 to node 3 with capacity 14,\nan edge from node 7 to node 1 with capacity 7,\nan edge from node 7 to node 12 with capacity 10,\nan edge from node 8 to node 4 with capacity 15,\nan edge from node 8 to node 6 with capacity 5,\nan edge from node 8 to node 5 with capacity 8,\nan edge from node 8 to node 13 with capacity 4,\nan edge from node 9 to node 0 with capacity 16,\nan edge from node 9 to node 10 with capacity 2,\nan edge from node 9 to node 2 with capacity 1,\nan edge from node 10 to node 0 with capacity 2,\nan edge from node 10 to node 9 with capacity 14,\nan edge from node 10 to node 7 with capacity 4,\nan edge from node 11 to node 8 with capacity 6,\nan edge from node 11 to node 13 with capacity 3,\nan edge from node 11 to node 3 with capacity 13,\nan edge from node 12 to node 4 with capacity 14,\nan edge from node 12 to node 6 with capacity 19,\nan edge from node 12 to node 8 with capacity 2,\nan edge from node 12 to node 5 with capacity 16,\nan edge from node 12 to node 1 with capacity 15,\nan edge from node 13 to node 0 with capacity 11,\nan edge from node 13 to node 10 with capacity 20,\nan edge from node 13 to node 9 with capacity 15,\nan edge from node 13 to node 2 with capacity 7,\nan edge from node 13 to node 11 with capacity 13,\nWhat is the maximum flow from node 12 to node 9:"
            },
            {
                "from": "gpt",
                "value": "26."
            }
        ]
    },
    {
        "id": "flow-hard-graph1086",
        "image": "data/flow/graph_visual/hard/graph1086.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 13 with capacity 5,\nan edge from node 0 to node 3 with capacity 15,\nan edge from node 0 to node 5 with capacity 1,\nan edge from node 0 to node 1 with capacity 16,\nan edge from node 0 to node 8 with capacity 18,\nan edge from node 0 to node 11 with capacity 5,\nan edge from node 1 to node 13 with capacity 3,\nan edge from node 1 to node 5 with capacity 2,\nan edge from node 1 to node 0 with capacity 6,\nan edge from node 1 to node 6 with capacity 11,\nan edge from node 2 to node 3 with capacity 18,\nan edge from node 2 to node 15 with capacity 8,\nan edge from node 2 to node 4 with capacity 5,\nan edge from node 2 to node 5 with capacity 6,\nan edge from node 2 to node 10 with capacity 12,\nan edge from node 2 to node 0 with capacity 12,\nan edge from node 3 to node 16 with capacity 20,\nan edge from node 3 to node 14 with capacity 7,\nan edge from node 3 to node 12 with capacity 1,\nan edge from node 3 to node 6 with capacity 17,\nan edge from node 4 to node 15 with capacity 15,\nan edge from node 4 to node 9 with capacity 20,\nan edge from node 4 to node 16 with capacity 4,\nan edge from node 4 to node 10 with capacity 2,\nan edge from node 4 to node 12 with capacity 2,\nan edge from node 4 to node 0 with capacity 17,\nan edge from node 5 to node 13 with capacity 3,\nan edge from node 5 to node 3 with capacity 4,\nan edge from node 5 to node 7 with capacity 11,\nan edge from node 5 to node 9 with capacity 17,\nan edge from node 5 to node 16 with capacity 17,\nan edge from node 5 to node 17 with capacity 14,\nan edge from node 5 to node 14 with capacity 12,\nan edge from node 5 to node 6 with capacity 20,\nan edge from node 6 to node 7 with capacity 5,\nan edge from node 6 to node 18 with capacity 2,\nan edge from node 6 to node 10 with capacity 13,\nan edge from node 6 to node 12 with capacity 18,\nan edge from node 6 to node 11 with capacity 14,\nan edge from node 6 to node 2 with capacity 5,\nan edge from node 7 to node 4 with capacity 2,\nan edge from node 7 to node 9 with capacity 10,\nan edge from node 7 to node 16 with capacity 10,\nan edge from node 7 to node 0 with capacity 19,\nan edge from node 7 to node 6 with capacity 5,\nan edge from node 8 to node 4 with capacity 16,\nan edge from node 8 to node 9 with capacity 9,\nan edge from node 8 to node 10 with capacity 11,\nan edge from node 8 to node 14 with capacity 3,\nan edge from node 8 to node 12 with capacity 17,\nan edge from node 9 to node 13 with capacity 12,\nan edge from node 9 to node 10 with capacity 9,\nan edge from node 9 to node 2 with capacity 10,\nan edge from node 9 to node 19 with capacity 3,\nan edge from node 9 to node 6 with capacity 13,\nan edge from node 10 to node 13 with capacity 18,\nan edge from node 10 to node 3 with capacity 19,\nan edge from node 10 to node 15 with capacity 18,\nan edge from node 10 to node 5 with capacity 20,\nan edge from node 10 to node 16 with capacity 12,\nan edge from node 10 to node 0 with capacity 2,\nan edge from node 10 to node 6 with capacity 1,\nan edge from node 11 to node 17 with capacity 6,\nan edge from node 11 to node 18 with capacity 14,\nan edge from node 11 to node 10 with capacity 13,\nan edge from node 11 to node 14 with capacity 3,\nan edge from node 12 to node 18 with capacity 19,\nan edge from node 12 to node 14 with capacity 11,\nan edge from node 12 to node 8 with capacity 13,\nan edge from node 12 to node 11 with capacity 20,\nan edge from node 13 to node 3 with capacity 17,\nan edge from node 13 to node 15 with capacity 9,\nan edge from node 13 to node 5 with capacity 4,\nan edge from node 13 to node 14 with capacity 5,\nan edge from node 13 to node 12 with capacity 20,\nan edge from node 13 to node 11 with capacity 9,\nan edge from node 13 to node 2 with capacity 14,\nan edge from node 13 to node 19 with capacity 18,\nan edge from node 14 to node 3 with capacity 4,\nan edge from node 14 to node 4 with capacity 15,\nan edge from node 14 to node 18 with capacity 15,\nan edge from node 15 to node 7 with capacity 7,\nan edge from node 15 to node 5 with capacity 20,\nan edge from node 15 to node 1 with capacity 2,\nan edge from node 15 to node 14 with capacity 15,\nan edge from node 15 to node 2 with capacity 8,\nan edge from node 15 to node 6 with capacity 5,\nan edge from node 16 to node 13 with capacity 20,\nan edge from node 16 to node 7 with capacity 13,\nan edge from node 16 to node 12 with capacity 4,\nan edge from node 16 to node 11 with capacity 2,\nan edge from node 17 to node 3 with capacity 17,\nan edge from node 17 to node 7 with capacity 11,\nan edge from node 17 to node 18 with capacity 16,\nan edge from node 17 to node 10 with capacity 6,\nan edge from node 17 to node 8 with capacity 13,\nan edge from node 17 to node 0 with capacity 11,\nan edge from node 18 to node 3 with capacity 13,\nan edge from node 18 to node 15 with capacity 18,\nan edge from node 18 to node 4 with capacity 13,\nan edge from node 18 to node 17 with capacity 8,\nan edge from node 18 to node 12 with capacity 9,\nan edge from node 18 to node 19 with capacity 15,\nan edge from node 18 to node 6 with capacity 14,\nan edge from node 19 to node 7 with capacity 4,\nan edge from node 19 to node 17 with capacity 3,\nan edge from node 19 to node 12 with capacity 15,\nWhat is the maximum flow from node 8 to node 7:"
            },
            {
                "from": "gpt",
                "value": "51."
            }
        ]
    },
    {
        "id": "flow-hard-graph590",
        "image": "data/flow/graph_visual/hard/graph590.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 12 with capacity 20,\nan edge from node 0 to node 9 with capacity 8,\nan edge from node 0 to node 13 with capacity 15,\nan edge from node 2 to node 3 with capacity 5,\nan edge from node 3 to node 6 with capacity 8,\nan edge from node 3 to node 11 with capacity 6,\nan edge from node 3 to node 10 with capacity 9,\nan edge from node 4 to node 0 with capacity 17,\nan edge from node 4 to node 5 with capacity 12,\nan edge from node 4 to node 7 with capacity 9,\nan edge from node 5 to node 4 with capacity 20,\nan edge from node 5 to node 9 with capacity 6,\nan edge from node 6 to node 4 with capacity 2,\nan edge from node 6 to node 5 with capacity 13,\nan edge from node 6 to node 9 with capacity 20,\nan edge from node 6 to node 14 with capacity 8,\nan edge from node 7 to node 5 with capacity 9,\nan edge from node 7 to node 9 with capacity 12,\nan edge from node 7 to node 6 with capacity 12,\nan edge from node 7 to node 11 with capacity 4,\nan edge from node 8 to node 3 with capacity 6,\nan edge from node 9 to node 1 with capacity 4,\nan edge from node 9 to node 3 with capacity 3,\nan edge from node 9 to node 7 with capacity 4,\nan edge from node 10 to node 0 with capacity 12,\nan edge from node 10 to node 1 with capacity 3,\nan edge from node 10 to node 12 with capacity 7,\nan edge from node 11 to node 4 with capacity 20,\nan edge from node 11 to node 0 with capacity 16,\nan edge from node 11 to node 8 with capacity 20,\nan edge from node 11 to node 3 with capacity 3,\nan edge from node 11 to node 6 with capacity 11,\nan edge from node 11 to node 10 with capacity 4,\nan edge from node 12 to node 1 with capacity 5,\nan edge from node 12 to node 9 with capacity 7,\nan edge from node 12 to node 2 with capacity 18,\nan edge from node 13 to node 12 with capacity 9,\nan edge from node 13 to node 10 with capacity 3,\nan edge from node 14 to node 4 with capacity 4,\nan edge from node 14 to node 5 with capacity 5,\nan edge from node 14 to node 6 with capacity 19,\nWhat is the maximum flow from node 10 to node 12:"
            },
            {
                "from": "gpt",
                "value": "19."
            }
        ]
    },
    {
        "id": "flow-hard-graph157",
        "image": "data/flow/graph_visual/hard/graph157.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 9 with capacity 2,\nan edge from node 0 to node 3 with capacity 16,\nan edge from node 0 to node 7 with capacity 12,\nan edge from node 0 to node 2 with capacity 11,\nan edge from node 0 to node 4 with capacity 18,\nan edge from node 0 to node 6 with capacity 6,\nan edge from node 1 to node 9 with capacity 4,\nan edge from node 1 to node 3 with capacity 3,\nan edge from node 1 to node 0 with capacity 15,\nan edge from node 1 to node 11 with capacity 19,\nan edge from node 2 to node 8 with capacity 19,\nan edge from node 3 to node 5 with capacity 20,\nan edge from node 3 to node 6 with capacity 10,\nan edge from node 3 to node 8 with capacity 18,\nan edge from node 4 to node 10 with capacity 8,\nan edge from node 4 to node 6 with capacity 1,\nan edge from node 5 to node 3 with capacity 9,\nan edge from node 5 to node 4 with capacity 11,\nan edge from node 5 to node 0 with capacity 4,\nan edge from node 5 to node 6 with capacity 15,\nan edge from node 5 to node 8 with capacity 1,\nan edge from node 6 to node 5 with capacity 20,\nan edge from node 6 to node 1 with capacity 6,\nan edge from node 6 to node 8 with capacity 11,\nan edge from node 7 to node 9 with capacity 4,\nan edge from node 7 to node 4 with capacity 18,\nan edge from node 7 to node 6 with capacity 11,\nan edge from node 8 to node 7 with capacity 7,\nan edge from node 8 to node 11 with capacity 9,\nan edge from node 9 to node 3 with capacity 2,\nan edge from node 9 to node 1 with capacity 20,\nan edge from node 10 to node 3 with capacity 15,\nan edge from node 10 to node 4 with capacity 15,\nan edge from node 10 to node 11 with capacity 19,\nan edge from node 10 to node 6 with capacity 7,\nan edge from node 10 to node 8 with capacity 8,\nan edge from node 11 to node 0 with capacity 17,\nWhat is the maximum flow from node 10 to node 0:"
            },
            {
                "from": "gpt",
                "value": "31."
            }
        ]
    },
    {
        "id": "flow-hard-graph53",
        "image": "data/flow/graph_visual/hard/graph53.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 4 with capacity 3,\nan edge from node 0 to node 9 with capacity 6,\nan edge from node 0 to node 3 with capacity 18,\nan edge from node 1 to node 10 with capacity 10,\nan edge from node 1 to node 3 with capacity 8,\nan edge from node 1 to node 2 with capacity 17,\nan edge from node 2 to node 1 with capacity 13,\nan edge from node 2 to node 9 with capacity 5,\nan edge from node 3 to node 4 with capacity 19,\nan edge from node 3 to node 10 with capacity 2,\nan edge from node 3 to node 6 with capacity 7,\nan edge from node 4 to node 1 with capacity 19,\nan edge from node 4 to node 7 with capacity 11,\nan edge from node 4 to node 10 with capacity 1,\nan edge from node 4 to node 3 with capacity 19,\nan edge from node 4 to node 2 with capacity 8,\nan edge from node 5 to node 9 with capacity 20,\nan edge from node 5 to node 8 with capacity 12,\nan edge from node 5 to node 2 with capacity 13,\nan edge from node 6 to node 7 with capacity 17,\nan edge from node 6 to node 0 with capacity 7,\nan edge from node 6 to node 5 with capacity 12,\nan edge from node 6 to node 2 with capacity 2,\nan edge from node 7 to node 4 with capacity 14,\nan edge from node 7 to node 9 with capacity 18,\nan edge from node 7 to node 8 with capacity 4,\nan edge from node 7 to node 3 with capacity 8,\nan edge from node 8 to node 1 with capacity 16,\nan edge from node 8 to node 6 with capacity 2,\nan edge from node 9 to node 8 with capacity 18,\nan edge from node 10 to node 7 with capacity 2,\nan edge from node 10 to node 5 with capacity 8,\nWhat is the maximum flow from node 2 to node 8:"
            },
            {
                "from": "gpt",
                "value": "18."
            }
        ]
    },
    {
        "id": "flow-hard-graph71",
        "image": "data/flow/graph_visual/hard/graph71.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 3 with capacity 4,\nan edge from node 0 to node 9 with capacity 7,\nan edge from node 1 to node 7 with capacity 10,\nan edge from node 1 to node 2 with capacity 18,\nan edge from node 2 to node 10 with capacity 4,\nan edge from node 2 to node 1 with capacity 16,\nan edge from node 2 to node 4 with capacity 9,\nan edge from node 3 to node 0 with capacity 5,\nan edge from node 3 to node 1 with capacity 5,\nan edge from node 3 to node 2 with capacity 18,\nan edge from node 3 to node 5 with capacity 17,\nan edge from node 4 to node 8 with capacity 15,\nan edge from node 4 to node 7 with capacity 16,\nan edge from node 4 to node 6 with capacity 20,\nan edge from node 5 to node 7 with capacity 7,\nan edge from node 5 to node 10 with capacity 14,\nan edge from node 5 to node 6 with capacity 19,\nan edge from node 5 to node 1 with capacity 17,\nan edge from node 6 to node 8 with capacity 2,\nan edge from node 6 to node 0 with capacity 14,\nan edge from node 6 to node 5 with capacity 20,\nan edge from node 7 to node 10 with capacity 1,\nan edge from node 7 to node 6 with capacity 17,\nan edge from node 7 to node 9 with capacity 1,\nan edge from node 7 to node 5 with capacity 4,\nan edge from node 8 to node 3 with capacity 5,\nan edge from node 8 to node 0 with capacity 2,\nan edge from node 8 to node 5 with capacity 14,\nan edge from node 9 to node 6 with capacity 5,\nan edge from node 9 to node 4 with capacity 20,\nan edge from node 10 to node 1 with capacity 2,\nan edge from node 10 to node 2 with capacity 4,\nan edge from node 10 to node 9 with capacity 14,\nWhat is the maximum flow from node 7 to node 0:"
            },
            {
                "from": "gpt",
                "value": "21."
            }
        ]
    },
    {
        "id": "flow-hard-graph310",
        "image": "data/flow/graph_visual/hard/graph310.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 11 with capacity 2,\nan edge from node 0 to node 8 with capacity 8,\nan edge from node 1 to node 9 with capacity 1,\nan edge from node 1 to node 7 with capacity 7,\nan edge from node 1 to node 8 with capacity 15,\nan edge from node 1 to node 2 with capacity 8,\nan edge from node 2 to node 5 with capacity 19,\nan edge from node 2 to node 12 with capacity 3,\nan edge from node 2 to node 7 with capacity 7,\nan edge from node 2 to node 8 with capacity 13,\nan edge from node 3 to node 5 with capacity 1,\nan edge from node 3 to node 11 with capacity 8,\nan edge from node 4 to node 9 with capacity 6,\nan edge from node 4 to node 10 with capacity 6,\nan edge from node 5 to node 9 with capacity 4,\nan edge from node 5 to node 10 with capacity 2,\nan edge from node 5 to node 8 with capacity 2,\nan edge from node 5 to node 1 with capacity 2,\nan edge from node 5 to node 2 with capacity 12,\nan edge from node 6 to node 0 with capacity 4,\nan edge from node 6 to node 4 with capacity 7,\nan edge from node 7 to node 5 with capacity 9,\nan edge from node 7 to node 9 with capacity 11,\nan edge from node 7 to node 10 with capacity 3,\nan edge from node 7 to node 8 with capacity 1,\nan edge from node 7 to node 1 with capacity 6,\nan edge from node 7 to node 2 with capacity 18,\nan edge from node 8 to node 12 with capacity 5,\nan edge from node 8 to node 10 with capacity 4,\nan edge from node 8 to node 7 with capacity 2,\nan edge from node 8 to node 6 with capacity 11,\nan edge from node 8 to node 2 with capacity 5,\nan edge from node 9 to node 12 with capacity 12,\nan edge from node 9 to node 7 with capacity 15,\nan edge from node 10 to node 5 with capacity 8,\nan edge from node 10 to node 12 with capacity 17,\nan edge from node 10 to node 6 with capacity 10,\nan edge from node 10 to node 3 with capacity 16,\nan edge from node 10 to node 1 with capacity 19,\nan edge from node 11 to node 5 with capacity 12,\nan edge from node 11 to node 9 with capacity 3,\nan edge from node 11 to node 10 with capacity 17,\nan edge from node 11 to node 3 with capacity 7,\nan edge from node 11 to node 4 with capacity 18,\nan edge from node 12 to node 0 with capacity 8,\nan edge from node 12 to node 10 with capacity 13,\nan edge from node 12 to node 11 with capacity 6,\nWhat is the maximum flow from node 5 to node 12:"
            },
            {
                "from": "gpt",
                "value": "22."
            }
        ]
    },
    {
        "id": "flow-hard-graph394",
        "image": "data/flow/graph_visual/hard/graph394.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 11 with capacity 2,\nan edge from node 0 to node 9 with capacity 5,\nan edge from node 0 to node 5 with capacity 12,\nan edge from node 0 to node 12 with capacity 20,\nan edge from node 1 to node 10 with capacity 14,\nan edge from node 1 to node 11 with capacity 10,\nan edge from node 1 to node 12 with capacity 18,\nan edge from node 2 to node 0 with capacity 6,\nan edge from node 2 to node 7 with capacity 16,\nan edge from node 2 to node 3 with capacity 6,\nan edge from node 2 to node 5 with capacity 13,\nan edge from node 3 to node 8 with capacity 18,\nan edge from node 3 to node 12 with capacity 6,\nan edge from node 4 to node 2 with capacity 15,\nan edge from node 4 to node 12 with capacity 6,\nan edge from node 5 to node 7 with capacity 20,\nan edge from node 5 to node 6 with capacity 7,\nan edge from node 5 to node 4 with capacity 11,\nan edge from node 6 to node 0 with capacity 15,\nan edge from node 6 to node 9 with capacity 1,\nan edge from node 7 to node 10 with capacity 14,\nan edge from node 7 to node 1 with capacity 7,\nan edge from node 7 to node 6 with capacity 8,\nan edge from node 8 to node 10 with capacity 19,\nan edge from node 8 to node 7 with capacity 8,\nan edge from node 8 to node 13 with capacity 16,\nan edge from node 9 to node 11 with capacity 10,\nan edge from node 9 to node 7 with capacity 20,\nan edge from node 9 to node 3 with capacity 18,\nan edge from node 9 to node 6 with capacity 15,\nan edge from node 10 to node 0 with capacity 11,\nan edge from node 10 to node 11 with capacity 6,\nan edge from node 10 to node 1 with capacity 18,\nan edge from node 10 to node 3 with capacity 11,\nan edge from node 10 to node 2 with capacity 4,\nan edge from node 10 to node 13 with capacity 20,\nan edge from node 10 to node 5 with capacity 12,\nan edge from node 11 to node 13 with capacity 10,\nan edge from node 12 to node 6 with capacity 13,\nan edge from node 12 to node 9 with capacity 14,\nan edge from node 13 to node 4 with capacity 17,\nan edge from node 13 to node 8 with capacity 15,\nWhat is the maximum flow from node 10 to node 7:"
            },
            {
                "from": "gpt",
                "value": "64."
            }
        ]
    },
    {
        "id": "flow-hard-graph864",
        "image": "data/flow/graph_visual/hard/graph864.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 10 with capacity 2,\nan edge from node 0 to node 17 with capacity 6,\nan edge from node 1 to node 16 with capacity 5,\nan edge from node 1 to node 5 with capacity 6,\nan edge from node 1 to node 7 with capacity 13,\nan edge from node 2 to node 13 with capacity 18,\nan edge from node 2 to node 5 with capacity 10,\nan edge from node 2 to node 7 with capacity 7,\nan edge from node 2 to node 12 with capacity 20,\nan edge from node 2 to node 0 with capacity 13,\nan edge from node 2 to node 9 with capacity 18,\nan edge from node 3 to node 8 with capacity 15,\nan edge from node 3 to node 16 with capacity 13,\nan edge from node 3 to node 7 with capacity 7,\nan edge from node 3 to node 0 with capacity 4,\nan edge from node 3 to node 6 with capacity 12,\nan edge from node 3 to node 4 with capacity 5,\nan edge from node 3 to node 10 with capacity 14,\nan edge from node 3 to node 15 with capacity 9,\nan edge from node 3 to node 2 with capacity 8,\nan edge from node 4 to node 8 with capacity 5,\nan edge from node 4 to node 1 with capacity 4,\nan edge from node 4 to node 14 with capacity 11,\nan edge from node 4 to node 6 with capacity 14,\nan edge from node 4 to node 9 with capacity 7,\nan edge from node 4 to node 17 with capacity 3,\nan edge from node 4 to node 15 with capacity 4,\nan edge from node 5 to node 1 with capacity 5,\nan edge from node 5 to node 6 with capacity 9,\nan edge from node 5 to node 9 with capacity 1,\nan edge from node 6 to node 4 with capacity 18,\nan edge from node 7 to node 6 with capacity 8,\nan edge from node 7 to node 3 with capacity 8,\nan edge from node 7 to node 15 with capacity 6,\nan edge from node 8 to node 13 with capacity 10,\nan edge from node 8 to node 14 with capacity 18,\nan edge from node 8 to node 0 with capacity 11,\nan edge from node 8 to node 9 with capacity 5,\nan edge from node 9 to node 16 with capacity 12,\nan edge from node 9 to node 7 with capacity 17,\nan edge from node 9 to node 10 with capacity 9,\nan edge from node 10 to node 1 with capacity 16,\nan edge from node 10 to node 6 with capacity 3,\nan edge from node 10 to node 3 with capacity 13,\nan edge from node 10 to node 15 with capacity 11,\nan edge from node 11 to node 17 with capacity 9,\nan edge from node 11 to node 15 with capacity 16,\nan edge from node 11 to node 2 with capacity 5,\nan edge from node 12 to node 13 with capacity 16,\nan edge from node 12 to node 5 with capacity 3,\nan edge from node 12 to node 9 with capacity 14,\nan edge from node 12 to node 4 with capacity 8,\nan edge from node 13 to node 8 with capacity 14,\nan edge from node 13 to node 0 with capacity 9,\nan edge from node 13 to node 3 with capacity 5,\nan edge from node 13 to node 2 with capacity 6,\nan edge from node 14 to node 5 with capacity 18,\nan edge from node 14 to node 1 with capacity 13,\nan edge from node 14 to node 0 with capacity 3,\nan edge from node 14 to node 11 with capacity 2,\nan edge from node 15 to node 7 with capacity 12,\nan edge from node 15 to node 12 with capacity 10,\nan edge from node 15 to node 9 with capacity 15,\nan edge from node 15 to node 4 with capacity 3,\nan edge from node 15 to node 17 with capacity 9,\nan edge from node 16 to node 8 with capacity 13,\nan edge from node 16 to node 1 with capacity 12,\nan edge from node 16 to node 12 with capacity 11,\nan edge from node 16 to node 6 with capacity 5,\nan edge from node 16 to node 9 with capacity 9,\nan edge from node 16 to node 2 with capacity 13,\nan edge from node 17 to node 12 with capacity 4,\nan edge from node 17 to node 10 with capacity 14,\nan edge from node 17 to node 3 with capacity 16,\nWhat is the maximum flow from node 6 to node 5:"
            },
            {
                "from": "gpt",
                "value": "18."
            }
        ]
    },
    {
        "id": "flow-hard-graph51",
        "image": "data/flow/graph_visual/hard/graph51.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 1 with capacity 9,\nan edge from node 0 to node 6 with capacity 14,\nan edge from node 0 to node 7 with capacity 12,\nan edge from node 1 to node 0 with capacity 7,\nan edge from node 1 to node 7 with capacity 6,\nan edge from node 1 to node 8 with capacity 17,\nan edge from node 2 to node 4 with capacity 19,\nan edge from node 3 to node 6 with capacity 15,\nan edge from node 3 to node 5 with capacity 11,\nan edge from node 3 to node 8 with capacity 15,\nan edge from node 4 to node 1 with capacity 4,\nan edge from node 4 to node 6 with capacity 2,\nan edge from node 4 to node 3 with capacity 1,\nan edge from node 4 to node 10 with capacity 9,\nan edge from node 5 to node 6 with capacity 10,\nan edge from node 5 to node 2 with capacity 13,\nan edge from node 6 to node 1 with capacity 20,\nan edge from node 6 to node 2 with capacity 4,\nan edge from node 7 to node 2 with capacity 14,\nan edge from node 8 to node 1 with capacity 6,\nan edge from node 8 to node 7 with capacity 12,\nan edge from node 10 to node 7 with capacity 17,\nan edge from node 10 to node 2 with capacity 10,\nan edge from node 10 to node 8 with capacity 8,\nWhat is the maximum flow from node 3 to node 4:"
            },
            {
                "from": "gpt",
                "value": "19."
            }
        ]
    },
    {
        "id": "flow-hard-graph655",
        "image": "data/flow/graph_visual/hard/graph655.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 11 with capacity 3,\nan edge from node 0 to node 4 with capacity 18,\nan edge from node 0 to node 8 with capacity 20,\nan edge from node 1 to node 2 with capacity 12,\nan edge from node 1 to node 13 with capacity 2,\nan edge from node 1 to node 5 with capacity 3,\nan edge from node 1 to node 11 with capacity 6,\nan edge from node 1 to node 3 with capacity 19,\nan edge from node 1 to node 4 with capacity 10,\nan edge from node 2 to node 13 with capacity 18,\nan edge from node 3 to node 6 with capacity 18,\nan edge from node 3 to node 11 with capacity 1,\nan edge from node 4 to node 9 with capacity 12,\nan edge from node 4 to node 14 with capacity 8,\nan edge from node 4 to node 12 with capacity 12,\nan edge from node 4 to node 3 with capacity 20,\nan edge from node 4 to node 10 with capacity 4,\nan edge from node 4 to node 8 with capacity 20,\nan edge from node 5 to node 2 with capacity 6,\nan edge from node 5 to node 13 with capacity 17,\nan edge from node 5 to node 1 with capacity 16,\nan edge from node 6 to node 9 with capacity 3,\nan edge from node 6 to node 11 with capacity 10,\nan edge from node 6 to node 3 with capacity 5,\nan edge from node 7 to node 9 with capacity 10,\nan edge from node 7 to node 15 with capacity 19,\nan edge from node 7 to node 10 with capacity 17,\nan edge from node 8 to node 9 with capacity 4,\nan edge from node 8 to node 2 with capacity 8,\nan edge from node 8 to node 7 with capacity 19,\nan edge from node 8 to node 15 with capacity 10,\nan edge from node 8 to node 4 with capacity 12,\nan edge from node 9 to node 2 with capacity 11,\nan edge from node 9 to node 14 with capacity 19,\nan edge from node 9 to node 0 with capacity 17,\nan edge from node 10 to node 1 with capacity 8,\nan edge from node 10 to node 0 with capacity 20,\nan edge from node 10 to node 15 with capacity 19,\nan edge from node 11 to node 1 with capacity 20,\nan edge from node 11 to node 4 with capacity 8,\nan edge from node 12 to node 9 with capacity 14,\nan edge from node 12 to node 13 with capacity 14,\nan edge from node 12 to node 1 with capacity 13,\nan edge from node 12 to node 5 with capacity 13,\nan edge from node 12 to node 0 with capacity 4,\nan edge from node 12 to node 15 with capacity 13,\nan edge from node 13 to node 1 with capacity 20,\nan edge from node 13 to node 5 with capacity 12,\nan edge from node 13 to node 7 with capacity 17,\nan edge from node 13 to node 3 with capacity 4,\nan edge from node 13 to node 10 with capacity 14,\nan edge from node 14 to node 2 with capacity 7,\nan edge from node 14 to node 1 with capacity 3,\nan edge from node 14 to node 3 with capacity 9,\nan edge from node 15 to node 9 with capacity 2,\nan edge from node 15 to node 14 with capacity 8,\nan edge from node 15 to node 1 with capacity 16,\nWhat is the maximum flow from node 4 to node 2:"
            },
            {
                "from": "gpt",
                "value": "44."
            }
        ]
    },
    {
        "id": "flow-hard-graph597",
        "image": "data/flow/graph_visual/hard/graph597.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 13 with capacity 10,\nan edge from node 0 to node 6 with capacity 16,\nan edge from node 0 to node 4 with capacity 5,\nan edge from node 0 to node 8 with capacity 2,\nan edge from node 1 to node 14 with capacity 19,\nan edge from node 1 to node 4 with capacity 8,\nan edge from node 1 to node 8 with capacity 17,\nan edge from node 1 to node 7 with capacity 19,\nan edge from node 2 to node 0 with capacity 20,\nan edge from node 3 to node 5 with capacity 1,\nan edge from node 3 to node 0 with capacity 17,\nan edge from node 4 to node 13 with capacity 18,\nan edge from node 4 to node 8 with capacity 9,\nan edge from node 4 to node 2 with capacity 14,\nan edge from node 4 to node 10 with capacity 11,\nan edge from node 5 to node 13 with capacity 1,\nan edge from node 5 to node 6 with capacity 4,\nan edge from node 5 to node 4 with capacity 9,\nan edge from node 5 to node 11 with capacity 18,\nan edge from node 5 to node 2 with capacity 16,\nan edge from node 5 to node 10 with capacity 19,\nan edge from node 5 to node 3 with capacity 18,\nan edge from node 6 to node 5 with capacity 11,\nan edge from node 6 to node 7 with capacity 17,\nan edge from node 6 to node 1 with capacity 6,\nan edge from node 6 to node 12 with capacity 5,\nan edge from node 7 to node 13 with capacity 18,\nan edge from node 7 to node 6 with capacity 20,\nan edge from node 7 to node 4 with capacity 2,\nan edge from node 7 to node 1 with capacity 6,\nan edge from node 7 to node 3 with capacity 11,\nan edge from node 7 to node 12 with capacity 8,\nan edge from node 8 to node 9 with capacity 1,\nan edge from node 8 to node 0 with capacity 12,\nan edge from node 9 to node 4 with capacity 3,\nan edge from node 10 to node 5 with capacity 9,\nan edge from node 10 to node 7 with capacity 7,\nan edge from node 10 to node 0 with capacity 11,\nan edge from node 10 to node 2 with capacity 15,\nan edge from node 10 to node 1 with capacity 3,\nan edge from node 10 to node 3 with capacity 14,\nan edge from node 10 to node 12 with capacity 4,\nan edge from node 11 to node 9 with capacity 10,\nan edge from node 11 to node 8 with capacity 19,\nan edge from node 11 to node 0 with capacity 2,\nan edge from node 11 to node 10 with capacity 18,\nan edge from node 11 to node 3 with capacity 7,\nan edge from node 12 to node 9 with capacity 13,\nan edge from node 12 to node 13 with capacity 6,\nan edge from node 13 to node 9 with capacity 18,\nan edge from node 13 to node 8 with capacity 13,\nan edge from node 14 to node 7 with capacity 6,\nan edge from node 14 to node 3 with capacity 3,\nan edge from node 14 to node 12 with capacity 3,\nWhat is the maximum flow from node 9 to node 11:"
            },
            {
                "from": "gpt",
                "value": "3."
            }
        ]
    },
    {
        "id": "flow-hard-graph249",
        "image": "data/flow/graph_visual/hard/graph249.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 6 with capacity 5,\nan edge from node 0 to node 5 with capacity 20,\nan edge from node 0 to node 11 with capacity 13,\nan edge from node 1 to node 2 with capacity 14,\nan edge from node 1 to node 5 with capacity 6,\nan edge from node 1 to node 11 with capacity 20,\nan edge from node 1 to node 0 with capacity 14,\nan edge from node 2 to node 8 with capacity 2,\nan edge from node 2 to node 3 with capacity 4,\nan edge from node 2 to node 10 with capacity 9,\nan edge from node 2 to node 0 with capacity 20,\nan edge from node 3 to node 2 with capacity 15,\nan edge from node 3 to node 1 with capacity 15,\nan edge from node 3 to node 8 with capacity 17,\nan edge from node 3 to node 10 with capacity 19,\nan edge from node 3 to node 0 with capacity 20,\nan edge from node 4 to node 6 with capacity 12,\nan edge from node 4 to node 1 with capacity 20,\nan edge from node 4 to node 5 with capacity 16,\nan edge from node 4 to node 9 with capacity 16,\nan edge from node 5 to node 10 with capacity 8,\nan edge from node 6 to node 2 with capacity 15,\nan edge from node 6 to node 0 with capacity 10,\nan edge from node 7 to node 2 with capacity 14,\nan edge from node 7 to node 6 with capacity 16,\nan edge from node 7 to node 10 with capacity 19,\nan edge from node 8 to node 4 with capacity 17,\nan edge from node 8 to node 1 with capacity 17,\nan edge from node 8 to node 5 with capacity 15,\nan edge from node 8 to node 11 with capacity 20,\nan edge from node 9 to node 4 with capacity 1,\nan edge from node 9 to node 12 with capacity 13,\nan edge from node 9 to node 10 with capacity 10,\nan edge from node 10 to node 2 with capacity 4,\nan edge from node 10 to node 8 with capacity 19,\nan edge from node 11 to node 6 with capacity 7,\nan edge from node 11 to node 4 with capacity 2,\nan edge from node 11 to node 0 with capacity 20,\nan edge from node 12 to node 11 with capacity 4,\nWhat is the maximum flow from node 5 to node 6:"
            },
            {
                "from": "gpt",
                "value": "8."
            }
        ]
    },
    {
        "id": "flow-hard-graph469",
        "image": "data/flow/graph_visual/hard/graph469.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 10 with capacity 7,\nan edge from node 1 to node 5 with capacity 10,\nan edge from node 2 to node 8 with capacity 1,\nan edge from node 2 to node 7 with capacity 9,\nan edge from node 3 to node 9 with capacity 18,\nan edge from node 3 to node 1 with capacity 1,\nan edge from node 4 to node 10 with capacity 9,\nan edge from node 4 to node 1 with capacity 8,\nan edge from node 4 to node 6 with capacity 14,\nan edge from node 4 to node 7 with capacity 20,\nan edge from node 5 to node 11 with capacity 10,\nan edge from node 5 to node 0 with capacity 6,\nan edge from node 5 to node 10 with capacity 20,\nan edge from node 5 to node 1 with capacity 5,\nan edge from node 5 to node 8 with capacity 5,\nan edge from node 5 to node 4 with capacity 5,\nan edge from node 6 to node 11 with capacity 12,\nan edge from node 6 to node 10 with capacity 14,\nan edge from node 6 to node 8 with capacity 16,\nan edge from node 6 to node 12 with capacity 8,\nan edge from node 6 to node 7 with capacity 16,\nan edge from node 6 to node 4 with capacity 20,\nan edge from node 7 to node 6 with capacity 1,\nan edge from node 8 to node 9 with capacity 4,\nan edge from node 8 to node 12 with capacity 20,\nan edge from node 8 to node 2 with capacity 3,\nan edge from node 9 to node 0 with capacity 14,\nan edge from node 9 to node 4 with capacity 20,\nan edge from node 9 to node 2 with capacity 13,\nan edge from node 10 to node 3 with capacity 17,\nan edge from node 10 to node 1 with capacity 20,\nan edge from node 10 to node 12 with capacity 11,\nan edge from node 11 to node 3 with capacity 3,\nan edge from node 12 to node 9 with capacity 5,\nan edge from node 12 to node 13 with capacity 6,\nan edge from node 12 to node 4 with capacity 14,\nan edge from node 13 to node 11 with capacity 12,\nWhat is the maximum flow from node 3 to node 7:"
            },
            {
                "from": "gpt",
                "value": "19."
            }
        ]
    },
    {
        "id": "flow-hard-graph342",
        "image": "data/flow/graph_visual/hard/graph342.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 1 with capacity 7,\nan edge from node 0 to node 9 with capacity 13,\nan edge from node 0 to node 5 with capacity 18,\nan edge from node 0 to node 2 with capacity 5,\nan edge from node 1 to node 8 with capacity 12,\nan edge from node 1 to node 12 with capacity 20,\nan edge from node 1 to node 6 with capacity 16,\nan edge from node 2 to node 12 with capacity 7,\nan edge from node 2 to node 1 with capacity 2,\nan edge from node 3 to node 1 with capacity 11,\nan edge from node 3 to node 6 with capacity 9,\nan edge from node 3 to node 2 with capacity 11,\nan edge from node 4 to node 10 with capacity 2,\nan edge from node 4 to node 9 with capacity 2,\nan edge from node 4 to node 0 with capacity 19,\nan edge from node 4 to node 7 with capacity 2,\nan edge from node 5 to node 1 with capacity 2,\nan edge from node 5 to node 9 with capacity 1,\nan edge from node 6 to node 8 with capacity 17,\nan edge from node 6 to node 12 with capacity 13,\nan edge from node 6 to node 5 with capacity 1,\nan edge from node 6 to node 2 with capacity 18,\nan edge from node 6 to node 3 with capacity 14,\nan edge from node 7 to node 8 with capacity 4,\nan edge from node 7 to node 5 with capacity 11,\nan edge from node 8 to node 6 with capacity 7,\nan edge from node 8 to node 9 with capacity 5,\nan edge from node 8 to node 5 with capacity 18,\nan edge from node 8 to node 7 with capacity 9,\nan edge from node 9 to node 1 with capacity 6,\nan edge from node 9 to node 0 with capacity 9,\nan edge from node 9 to node 7 with capacity 20,\nan edge from node 10 to node 5 with capacity 11,\nan edge from node 10 to node 7 with capacity 13,\nan edge from node 10 to node 3 with capacity 11,\nan edge from node 11 to node 8 with capacity 5,\nan edge from node 11 to node 10 with capacity 12,\nan edge from node 11 to node 4 with capacity 11,\nan edge from node 12 to node 10 with capacity 12,\nan edge from node 12 to node 11 with capacity 13,\nWhat is the maximum flow from node 0 to node 1:"
            },
            {
                "from": "gpt",
                "value": "24."
            }
        ]
    },
    {
        "id": "flow-hard-graph268",
        "image": "data/flow/graph_visual/hard/graph268.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 10 with capacity 5,\nan edge from node 1 to node 10 with capacity 6,\nan edge from node 1 to node 6 with capacity 10,\nan edge from node 1 to node 0 with capacity 14,\nan edge from node 1 to node 2 with capacity 10,\nan edge from node 1 to node 5 with capacity 12,\nan edge from node 2 to node 3 with capacity 7,\nan edge from node 2 to node 9 with capacity 3,\nan edge from node 2 to node 7 with capacity 17,\nan edge from node 3 to node 9 with capacity 12,\nan edge from node 3 to node 4 with capacity 17,\nan edge from node 3 to node 11 with capacity 9,\nan edge from node 4 to node 10 with capacity 17,\nan edge from node 4 to node 12 with capacity 8,\nan edge from node 4 to node 7 with capacity 7,\nan edge from node 4 to node 2 with capacity 15,\nan edge from node 5 to node 1 with capacity 2,\nan edge from node 5 to node 7 with capacity 4,\nan edge from node 5 to node 11 with capacity 11,\nan edge from node 5 to node 2 with capacity 18,\nan edge from node 6 to node 12 with capacity 8,\nan edge from node 6 to node 5 with capacity 1,\nan edge from node 7 to node 10 with capacity 15,\nan edge from node 7 to node 4 with capacity 13,\nan edge from node 8 to node 6 with capacity 4,\nan edge from node 8 to node 3 with capacity 17,\nan edge from node 8 to node 12 with capacity 6,\nan edge from node 8 to node 2 with capacity 10,\nan edge from node 9 to node 6 with capacity 10,\nan edge from node 9 to node 0 with capacity 8,\nan edge from node 9 to node 1 with capacity 20,\nan edge from node 9 to node 2 with capacity 13,\nan edge from node 10 to node 0 with capacity 1,\nan edge from node 10 to node 7 with capacity 6,\nan edge from node 10 to node 11 with capacity 10,\nan edge from node 11 to node 12 with capacity 8,\nan edge from node 11 to node 7 with capacity 2,\nan edge from node 12 to node 10 with capacity 9,\nan edge from node 12 to node 6 with capacity 18,\nan edge from node 12 to node 0 with capacity 18,\nan edge from node 12 to node 7 with capacity 16,\nWhat is the maximum flow from node 0 to node 5:"
            },
            {
                "from": "gpt",
                "value": "5."
            }
        ]
    },
    {
        "id": "flow-hard-graph1178",
        "image": "data/flow/graph_visual/hard/graph1178.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 14 with capacity 2,\nan edge from node 0 to node 9 with capacity 14,\nan edge from node 0 to node 5 with capacity 20,\nan edge from node 0 to node 2 with capacity 17,\nan edge from node 0 to node 4 with capacity 16,\nan edge from node 0 to node 6 with capacity 3,\nan edge from node 0 to node 18 with capacity 20,\nan edge from node 0 to node 7 with capacity 13,\nan edge from node 1 to node 8 with capacity 8,\nan edge from node 1 to node 13 with capacity 8,\nan edge from node 1 to node 11 with capacity 11,\nan edge from node 1 to node 16 with capacity 15,\nan edge from node 1 to node 12 with capacity 10,\nan edge from node 2 to node 4 with capacity 5,\nan edge from node 2 to node 17 with capacity 4,\nan edge from node 2 to node 15 with capacity 5,\nan edge from node 2 to node 0 with capacity 7,\nan edge from node 2 to node 3 with capacity 7,\nan edge from node 2 to node 7 with capacity 4,\nan edge from node 2 to node 19 with capacity 20,\nan edge from node 3 to node 9 with capacity 10,\nan edge from node 3 to node 4 with capacity 6,\nan edge from node 3 to node 8 with capacity 5,\nan edge from node 3 to node 13 with capacity 8,\nan edge from node 3 to node 17 with capacity 11,\nan edge from node 3 to node 15 with capacity 15,\nan edge from node 3 to node 18 with capacity 4,\nan edge from node 3 to node 1 with capacity 4,\nan edge from node 3 to node 7 with capacity 9,\nan edge from node 4 to node 5 with capacity 13,\nan edge from node 4 to node 11 with capacity 18,\nan edge from node 4 to node 15 with capacity 1,\nan edge from node 4 to node 7 with capacity 10,\nan edge from node 5 to node 14 with capacity 20,\nan edge from node 5 to node 6 with capacity 15,\nan edge from node 5 to node 17 with capacity 2,\nan edge from node 5 to node 12 with capacity 13,\nan edge from node 5 to node 19 with capacity 12,\nan edge from node 6 to node 13 with capacity 3,\nan edge from node 6 to node 10 with capacity 14,\nan edge from node 6 to node 15 with capacity 5,\nan edge from node 6 to node 0 with capacity 9,\nan edge from node 6 to node 1 with capacity 19,\nan edge from node 7 to node 13 with capacity 17,\nan edge from node 7 to node 6 with capacity 1,\nan edge from node 7 to node 18 with capacity 5,\nan edge from node 7 to node 19 with capacity 15,\nan edge from node 8 to node 17 with capacity 6,\nan edge from node 8 to node 0 with capacity 20,\nan edge from node 9 to node 14 with capacity 3,\nan edge from node 9 to node 17 with capacity 19,\nan edge from node 9 to node 3 with capacity 7,\nan edge from node 9 to node 7 with capacity 8,\nan edge from node 9 to node 19 with capacity 5,\nan edge from node 10 to node 14 with capacity 4,\nan edge from node 10 to node 11 with capacity 13,\nan edge from node 10 to node 16 with capacity 8,\nan edge from node 10 to node 6 with capacity 6,\nan edge from node 10 to node 17 with capacity 20,\nan edge from node 10 to node 19 with capacity 10,\nan edge from node 11 to node 5 with capacity 7,\nan edge from node 11 to node 0 with capacity 11,\nan edge from node 11 to node 18 with capacity 14,\nan edge from node 11 to node 19 with capacity 18,\nan edge from node 12 to node 2 with capacity 17,\nan edge from node 12 to node 11 with capacity 15,\nan edge from node 12 to node 16 with capacity 14,\nan edge from node 12 to node 3 with capacity 5,\nan edge from node 12 to node 7 with capacity 8,\nan edge from node 13 to node 8 with capacity 5,\nan edge from node 13 to node 16 with capacity 15,\nan edge from node 13 to node 15 with capacity 13,\nan edge from node 13 to node 18 with capacity 10,\nan edge from node 13 to node 12 with capacity 4,\nan edge from node 14 to node 15 with capacity 8,\nan edge from node 14 to node 18 with capacity 13,\nan edge from node 15 to node 8 with capacity 20,\nan edge from node 15 to node 11 with capacity 7,\nan edge from node 15 to node 6 with capacity 11,\nan edge from node 15 to node 17 with capacity 2,\nan edge from node 15 to node 0 with capacity 16,\nan edge from node 15 to node 7 with capacity 10,\nan edge from node 16 to node 4 with capacity 11,\nan edge from node 16 to node 13 with capacity 10,\nan edge from node 16 to node 12 with capacity 7,\nan edge from node 17 to node 14 with capacity 15,\nan edge from node 17 to node 2 with capacity 15,\nan edge from node 17 to node 13 with capacity 8,\nan edge from node 17 to node 16 with capacity 10,\nan edge from node 17 to node 10 with capacity 20,\nan edge from node 17 to node 0 with capacity 7,\nan edge from node 17 to node 18 with capacity 1,\nan edge from node 17 to node 1 with capacity 13,\nan edge from node 17 to node 7 with capacity 4,\nan edge from node 18 to node 13 with capacity 10,\nan edge from node 18 to node 15 with capacity 19,\nan edge from node 18 to node 7 with capacity 5,\nan edge from node 18 to node 19 with capacity 11,\nan edge from node 19 to node 14 with capacity 9,\nan edge from node 19 to node 9 with capacity 6,\nan edge from node 19 to node 8 with capacity 7,\nan edge from node 19 to node 16 with capacity 1,\nan edge from node 19 to node 17 with capacity 20,\nan edge from node 19 to node 12 with capacity 19,\nWhat is the maximum flow from node 7 to node 19:"
            },
            {
                "from": "gpt",
                "value": "38."
            }
        ]
    },
    {
        "id": "flow-hard-graph1146",
        "image": "data/flow/graph_visual/hard/graph1146.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 5 with capacity 3,\nan edge from node 0 to node 13 with capacity 10,\nan edge from node 1 to node 11 with capacity 19,\nan edge from node 1 to node 10 with capacity 18,\nan edge from node 1 to node 18 with capacity 16,\nan edge from node 1 to node 7 with capacity 19,\nan edge from node 1 to node 19 with capacity 3,\nan edge from node 2 to node 17 with capacity 10,\nan edge from node 2 to node 7 with capacity 17,\nan edge from node 2 to node 13 with capacity 4,\nan edge from node 2 to node 9 with capacity 14,\nan edge from node 3 to node 6 with capacity 17,\nan edge from node 3 to node 19 with capacity 5,\nan edge from node 4 to node 10 with capacity 14,\nan edge from node 4 to node 2 with capacity 18,\nan edge from node 5 to node 11 with capacity 16,\nan edge from node 5 to node 15 with capacity 10,\nan edge from node 5 to node 16 with capacity 10,\nan edge from node 6 to node 8 with capacity 15,\nan edge from node 6 to node 19 with capacity 13,\nan edge from node 6 to node 14 with capacity 16,\nan edge from node 6 to node 3 with capacity 6,\nan edge from node 7 to node 16 with capacity 19,\nan edge from node 7 to node 9 with capacity 5,\nan edge from node 8 to node 11 with capacity 9,\nan edge from node 8 to node 7 with capacity 3,\nan edge from node 8 to node 13 with capacity 1,\nan edge from node 8 to node 16 with capacity 15,\nan edge from node 8 to node 3 with capacity 8,\nan edge from node 8 to node 9 with capacity 4,\nan edge from node 9 to node 18 with capacity 14,\nan edge from node 9 to node 5 with capacity 2,\nan edge from node 9 to node 8 with capacity 3,\nan edge from node 9 to node 15 with capacity 18,\nan edge from node 9 to node 6 with capacity 19,\nan edge from node 10 to node 0 with capacity 2,\nan edge from node 10 to node 12 with capacity 12,\nan edge from node 10 to node 13 with capacity 3,\nan edge from node 10 to node 6 with capacity 8,\nan edge from node 10 to node 14 with capacity 10,\nan edge from node 10 to node 3 with capacity 14,\nan edge from node 11 to node 12 with capacity 19,\nan edge from node 11 to node 18 with capacity 18,\nan edge from node 11 to node 16 with capacity 9,\nan edge from node 11 to node 2 with capacity 14,\nan edge from node 12 to node 11 with capacity 5,\nan edge from node 12 to node 10 with capacity 3,\nan edge from node 12 to node 15 with capacity 8,\nan edge from node 13 to node 12 with capacity 14,\nan edge from node 13 to node 6 with capacity 5,\nan edge from node 13 to node 19 with capacity 12,\nan edge from node 13 to node 14 with capacity 4,\nan edge from node 14 to node 4 with capacity 6,\nan edge from node 14 to node 0 with capacity 10,\nan edge from node 14 to node 12 with capacity 10,\nan edge from node 14 to node 5 with capacity 10,\nan edge from node 14 to node 7 with capacity 4,\nan edge from node 14 to node 8 with capacity 4,\nan edge from node 14 to node 16 with capacity 4,\nan edge from node 15 to node 17 with capacity 10,\nan edge from node 15 to node 5 with capacity 14,\nan edge from node 15 to node 7 with capacity 18,\nan edge from node 15 to node 13 with capacity 5,\nan edge from node 16 to node 4 with capacity 11,\nan edge from node 16 to node 6 with capacity 7,\nan edge from node 16 to node 19 with capacity 11,\nan edge from node 17 to node 12 with capacity 4,\nan edge from node 17 to node 11 with capacity 15,\nan edge from node 17 to node 18 with capacity 6,\nan edge from node 17 to node 8 with capacity 11,\nan edge from node 17 to node 13 with capacity 16,\nan edge from node 17 to node 16 with capacity 12,\nan edge from node 17 to node 2 with capacity 4,\nan edge from node 18 to node 10 with capacity 13,\nan edge from node 18 to node 1 with capacity 2,\nan edge from node 18 to node 7 with capacity 1,\nan edge from node 18 to node 2 with capacity 15,\nan edge from node 18 to node 3 with capacity 16,\nan edge from node 19 to node 12 with capacity 17,\nan edge from node 19 to node 18 with capacity 17,\nan edge from node 19 to node 1 with capacity 16,\nan edge from node 19 to node 13 with capacity 4,\nan edge from node 19 to node 14 with capacity 6,\nWhat is the maximum flow from node 19 to node 18:"
            },
            {
                "from": "gpt",
                "value": "59."
            }
        ]
    },
    {
        "id": "flow-hard-graph904",
        "image": "data/flow/graph_visual/hard/graph904.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 16 with capacity 13,\nan edge from node 0 to node 15 with capacity 10,\nan edge from node 0 to node 6 with capacity 17,\nan edge from node 0 to node 13 with capacity 17,\nan edge from node 1 to node 16 with capacity 13,\nan edge from node 1 to node 5 with capacity 1,\nan edge from node 1 to node 8 with capacity 13,\nan edge from node 1 to node 7 with capacity 14,\nan edge from node 2 to node 16 with capacity 2,\nan edge from node 2 to node 11 with capacity 8,\nan edge from node 2 to node 3 with capacity 20,\nan edge from node 2 to node 8 with capacity 9,\nan edge from node 2 to node 13 with capacity 18,\nan edge from node 3 to node 11 with capacity 2,\nan edge from node 3 to node 5 with capacity 19,\nan edge from node 3 to node 8 with capacity 1,\nan edge from node 3 to node 10 with capacity 2,\nan edge from node 3 to node 6 with capacity 13,\nan edge from node 4 to node 16 with capacity 10,\nan edge from node 4 to node 2 with capacity 17,\nan edge from node 6 to node 16 with capacity 2,\nan edge from node 6 to node 10 with capacity 15,\nan edge from node 6 to node 12 with capacity 13,\nan edge from node 7 to node 16 with capacity 15,\nan edge from node 7 to node 13 with capacity 7,\nan edge from node 8 to node 0 with capacity 12,\nan edge from node 8 to node 6 with capacity 8,\nan edge from node 8 to node 7 with capacity 5,\nan edge from node 8 to node 9 with capacity 5,\nan edge from node 9 to node 13 with capacity 18,\nan edge from node 10 to node 11 with capacity 19,\nan edge from node 10 to node 5 with capacity 1,\nan edge from node 10 to node 15 with capacity 6,\nan edge from node 10 to node 8 with capacity 16,\nan edge from node 10 to node 14 with capacity 13,\nan edge from node 10 to node 17 with capacity 15,\nan edge from node 10 to node 2 with capacity 4,\nan edge from node 11 to node 5 with capacity 12,\nan edge from node 11 to node 0 with capacity 1,\nan edge from node 11 to node 10 with capacity 19,\nan edge from node 11 to node 12 with capacity 1,\nan edge from node 11 to node 9 with capacity 14,\nan edge from node 12 to node 16 with capacity 12,\nan edge from node 12 to node 4 with capacity 4,\nan edge from node 12 to node 13 with capacity 7,\nan edge from node 13 to node 16 with capacity 9,\nan edge from node 13 to node 5 with capacity 1,\nan edge from node 13 to node 6 with capacity 12,\nan edge from node 14 to node 11 with capacity 14,\nan edge from node 14 to node 0 with capacity 18,\nan edge from node 14 to node 12 with capacity 20,\nan edge from node 15 to node 11 with capacity 5,\nan edge from node 15 to node 0 with capacity 8,\nan edge from node 15 to node 8 with capacity 2,\nan edge from node 15 to node 10 with capacity 6,\nan edge from node 15 to node 7 with capacity 15,\nan edge from node 16 to node 3 with capacity 13,\nan edge from node 16 to node 5 with capacity 8,\nan edge from node 16 to node 8 with capacity 10,\nan edge from node 16 to node 1 with capacity 9,\nan edge from node 16 to node 13 with capacity 19,\nan edge from node 17 to node 6 with capacity 3,\nWhat is the maximum flow from node 6 to node 8:"
            },
            {
                "from": "gpt",
                "value": "30."
            }
        ]
    },
    {
        "id": "flow-hard-graph132",
        "image": "data/flow/graph_visual/hard/graph132.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 5 with capacity 6,\nan edge from node 0 to node 7 with capacity 12,\nan edge from node 1 to node 8 with capacity 2,\nan edge from node 1 to node 3 with capacity 1,\nan edge from node 2 to node 9 with capacity 13,\nan edge from node 2 to node 10 with capacity 10,\nan edge from node 2 to node 6 with capacity 11,\nan edge from node 3 to node 11 with capacity 14,\nan edge from node 3 to node 5 with capacity 16,\nan edge from node 3 to node 10 with capacity 12,\nan edge from node 4 to node 1 with capacity 12,\nan edge from node 4 to node 10 with capacity 9,\nan edge from node 5 to node 11 with capacity 18,\nan edge from node 5 to node 4 with capacity 12,\nan edge from node 5 to node 7 with capacity 10,\nan edge from node 6 to node 5 with capacity 12,\nan edge from node 7 to node 3 with capacity 7,\nan edge from node 7 to node 6 with capacity 12,\nan edge from node 8 to node 11 with capacity 6,\nan edge from node 8 to node 9 with capacity 13,\nan edge from node 9 to node 3 with capacity 20,\nan edge from node 10 to node 5 with capacity 3,\nan edge from node 10 to node 3 with capacity 9,\nan edge from node 10 to node 4 with capacity 14,\nan edge from node 11 to node 10 with capacity 20,\nWhat is the maximum flow from node 5 to node 4:"
            },
            {
                "from": "gpt",
                "value": "26."
            }
        ]
    },
    {
        "id": "flow-hard-graph662",
        "image": "data/flow/graph_visual/hard/graph662.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 9 with capacity 12,\nan edge from node 1 to node 8 with capacity 12,\nan edge from node 1 to node 7 with capacity 10,\nan edge from node 1 to node 9 with capacity 8,\nan edge from node 2 to node 11 with capacity 12,\nan edge from node 2 to node 10 with capacity 1,\nan edge from node 2 to node 14 with capacity 12,\nan edge from node 3 to node 15 with capacity 6,\nan edge from node 3 to node 2 with capacity 4,\nan edge from node 3 to node 5 with capacity 16,\nan edge from node 4 to node 15 with capacity 10,\nan edge from node 4 to node 8 with capacity 6,\nan edge from node 4 to node 6 with capacity 13,\nan edge from node 4 to node 12 with capacity 17,\nan edge from node 5 to node 10 with capacity 19,\nan edge from node 5 to node 1 with capacity 7,\nan edge from node 5 to node 13 with capacity 10,\nan edge from node 5 to node 3 with capacity 4,\nan edge from node 6 to node 11 with capacity 15,\nan edge from node 6 to node 8 with capacity 16,\nan edge from node 6 to node 7 with capacity 15,\nan edge from node 6 to node 9 with capacity 14,\nan edge from node 6 to node 0 with capacity 18,\nan edge from node 6 to node 5 with capacity 16,\nan edge from node 6 to node 3 with capacity 12,\nan edge from node 6 to node 12 with capacity 10,\nan edge from node 7 to node 11 with capacity 15,\nan edge from node 7 to node 1 with capacity 4,\nan edge from node 7 to node 5 with capacity 8,\nan edge from node 8 to node 13 with capacity 18,\nan edge from node 8 to node 3 with capacity 12,\nan edge from node 9 to node 15 with capacity 6,\nan edge from node 9 to node 8 with capacity 19,\nan edge from node 9 to node 1 with capacity 5,\nan edge from node 9 to node 12 with capacity 5,\nan edge from node 10 to node 15 with capacity 13,\nan edge from node 10 to node 4 with capacity 6,\nan edge from node 10 to node 13 with capacity 12,\nan edge from node 11 to node 7 with capacity 11,\nan edge from node 11 to node 6 with capacity 15,\nan edge from node 11 to node 1 with capacity 7,\nan edge from node 11 to node 9 with capacity 15,\nan edge from node 11 to node 5 with capacity 4,\nan edge from node 12 to node 10 with capacity 1,\nan edge from node 12 to node 8 with capacity 8,\nan edge from node 12 to node 13 with capacity 3,\nan edge from node 12 to node 0 with capacity 16,\nan edge from node 12 to node 3 with capacity 20,\nan edge from node 13 to node 8 with capacity 16,\nan edge from node 13 to node 14 with capacity 15,\nan edge from node 13 to node 0 with capacity 15,\nan edge from node 13 to node 12 with capacity 2,\nan edge from node 14 to node 15 with capacity 3,\nan edge from node 14 to node 2 with capacity 1,\nan edge from node 14 to node 10 with capacity 2,\nan edge from node 14 to node 7 with capacity 5,\nan edge from node 14 to node 4 with capacity 13,\nan edge from node 15 to node 4 with capacity 7,\nan edge from node 15 to node 13 with capacity 2,\nWhat is the maximum flow from node 4 to node 5:"
            },
            {
                "from": "gpt",
                "value": "38."
            }
        ]
    },
    {
        "id": "flow-hard-graph1180",
        "image": "data/flow/graph_visual/hard/graph1180.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 1 with capacity 1,\nan edge from node 0 to node 6 with capacity 16,\nan edge from node 0 to node 15 with capacity 16,\nan edge from node 0 to node 5 with capacity 7,\nan edge from node 0 to node 7 with capacity 14,\nan edge from node 1 to node 12 with capacity 12,\nan edge from node 1 to node 9 with capacity 16,\nan edge from node 1 to node 7 with capacity 8,\nan edge from node 2 to node 3 with capacity 7,\nan edge from node 2 to node 19 with capacity 16,\nan edge from node 2 to node 7 with capacity 7,\nan edge from node 3 to node 12 with capacity 15,\nan edge from node 3 to node 8 with capacity 4,\nan edge from node 3 to node 19 with capacity 7,\nan edge from node 3 to node 2 with capacity 9,\nan edge from node 3 to node 15 with capacity 18,\nan edge from node 4 to node 3 with capacity 15,\nan edge from node 4 to node 14 with capacity 14,\nan edge from node 4 to node 2 with capacity 9,\nan edge from node 4 to node 5 with capacity 4,\nan edge from node 5 to node 8 with capacity 18,\nan edge from node 5 to node 9 with capacity 5,\nan edge from node 5 to node 1 with capacity 16,\nan edge from node 5 to node 13 with capacity 14,\nan edge from node 5 to node 17 with capacity 15,\nan edge from node 6 to node 12 with capacity 13,\nan edge from node 6 to node 18 with capacity 4,\nan edge from node 6 to node 1 with capacity 10,\nan edge from node 6 to node 7 with capacity 15,\nan edge from node 7 to node 16 with capacity 2,\nan edge from node 7 to node 19 with capacity 6,\nan edge from node 7 to node 10 with capacity 18,\nan edge from node 7 to node 15 with capacity 9,\nan edge from node 7 to node 5 with capacity 14,\nan edge from node 7 to node 17 with capacity 19,\nan edge from node 8 to node 0 with capacity 19,\nan edge from node 8 to node 18 with capacity 8,\nan edge from node 8 to node 19 with capacity 7,\nan edge from node 8 to node 2 with capacity 4,\nan edge from node 8 to node 7 with capacity 8,\nan edge from node 9 to node 3 with capacity 19,\nan edge from node 9 to node 0 with capacity 16,\nan edge from node 9 to node 14 with capacity 1,\nan edge from node 9 to node 4 with capacity 10,\nan edge from node 9 to node 15 with capacity 15,\nan edge from node 9 to node 11 with capacity 1,\nan edge from node 10 to node 3 with capacity 1,\nan edge from node 10 to node 0 with capacity 6,\nan edge from node 10 to node 8 with capacity 3,\nan edge from node 10 to node 2 with capacity 10,\nan edge from node 10 to node 6 with capacity 8,\nan edge from node 11 to node 2 with capacity 6,\nan edge from node 11 to node 4 with capacity 4,\nan edge from node 11 to node 5 with capacity 17,\nan edge from node 12 to node 3 with capacity 7,\nan edge from node 12 to node 8 with capacity 15,\nan edge from node 12 to node 6 with capacity 4,\nan edge from node 12 to node 15 with capacity 18,\nan edge from node 13 to node 14 with capacity 12,\nan edge from node 14 to node 16 with capacity 1,\nan edge from node 14 to node 3 with capacity 15,\nan edge from node 14 to node 0 with capacity 3,\nan edge from node 14 to node 8 with capacity 3,\nan edge from node 14 to node 18 with capacity 14,\nan edge from node 14 to node 1 with capacity 8,\nan edge from node 14 to node 6 with capacity 20,\nan edge from node 14 to node 7 with capacity 1,\nan edge from node 15 to node 12 with capacity 19,\nan edge from node 15 to node 18 with capacity 16,\nan edge from node 15 to node 9 with capacity 11,\nan edge from node 15 to node 19 with capacity 7,\nan edge from node 15 to node 1 with capacity 4,\nan edge from node 15 to node 4 with capacity 14,\nan edge from node 15 to node 10 with capacity 19,\nan edge from node 16 to node 18 with capacity 4,\nan edge from node 16 to node 14 with capacity 8,\nan edge from node 16 to node 19 with capacity 16,\nan edge from node 16 to node 6 with capacity 1,\nan edge from node 16 to node 10 with capacity 9,\nan edge from node 17 to node 6 with capacity 11,\nan edge from node 17 to node 5 with capacity 4,\nan edge from node 17 to node 7 with capacity 20,\nan edge from node 18 to node 3 with capacity 8,\nan edge from node 19 to node 3 with capacity 16,\nan edge from node 19 to node 18 with capacity 19,\nan edge from node 19 to node 1 with capacity 3,\nan edge from node 19 to node 10 with capacity 1,\nWhat is the maximum flow from node 13 to node 7:"
            },
            {
                "from": "gpt",
                "value": "12."
            }
        ]
    },
    {
        "id": "flow-hard-graph241",
        "image": "data/flow/graph_visual/hard/graph241.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 12 with capacity 3,\nan edge from node 0 to node 3 with capacity 16,\nan edge from node 1 to node 4 with capacity 20,\nan edge from node 1 to node 11 with capacity 5,\nan edge from node 2 to node 7 with capacity 20,\nan edge from node 3 to node 2 with capacity 10,\nan edge from node 3 to node 8 with capacity 11,\nan edge from node 4 to node 6 with capacity 7,\nan edge from node 4 to node 1 with capacity 12,\nan edge from node 4 to node 7 with capacity 4,\nan edge from node 4 to node 11 with capacity 17,\nan edge from node 4 to node 5 with capacity 18,\nan edge from node 4 to node 8 with capacity 4,\nan edge from node 5 to node 6 with capacity 10,\nan edge from node 5 to node 2 with capacity 5,\nan edge from node 6 to node 2 with capacity 9,\nan edge from node 6 to node 3 with capacity 1,\nan edge from node 6 to node 8 with capacity 9,\nan edge from node 7 to node 5 with capacity 2,\nan edge from node 8 to node 10 with capacity 12,\nan edge from node 8 to node 4 with capacity 16,\nan edge from node 9 to node 1 with capacity 6,\nan edge from node 9 to node 11 with capacity 17,\nan edge from node 10 to node 2 with capacity 12,\nan edge from node 10 to node 7 with capacity 13,\nan edge from node 10 to node 4 with capacity 19,\nan edge from node 10 to node 3 with capacity 6,\nan edge from node 10 to node 5 with capacity 11,\nan edge from node 11 to node 9 with capacity 17,\nan edge from node 11 to node 12 with capacity 17,\nan edge from node 11 to node 7 with capacity 1,\nan edge from node 11 to node 4 with capacity 11,\nan edge from node 11 to node 8 with capacity 12,\nan edge from node 12 to node 4 with capacity 19,\nan edge from node 12 to node 0 with capacity 19,\nWhat is the maximum flow from node 10 to node 9:"
            },
            {
                "from": "gpt",
                "value": "17."
            }
        ]
    },
    {
        "id": "flow-hard-graph496",
        "image": "data/flow/graph_visual/hard/graph496.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 8 with capacity 7,\nan edge from node 0 to node 10 with capacity 17,\nan edge from node 0 to node 12 with capacity 17,\nan edge from node 1 to node 0 with capacity 20,\nan edge from node 2 to node 8 with capacity 5,\nan edge from node 2 to node 11 with capacity 15,\nan edge from node 3 to node 8 with capacity 8,\nan edge from node 3 to node 14 with capacity 3,\nan edge from node 3 to node 0 with capacity 11,\nan edge from node 3 to node 1 with capacity 1,\nan edge from node 3 to node 2 with capacity 15,\nan edge from node 3 to node 12 with capacity 6,\nan edge from node 3 to node 9 with capacity 16,\nan edge from node 4 to node 5 with capacity 12,\nan edge from node 4 to node 10 with capacity 12,\nan edge from node 4 to node 14 with capacity 13,\nan edge from node 4 to node 2 with capacity 14,\nan edge from node 4 to node 12 with capacity 14,\nan edge from node 4 to node 9 with capacity 3,\nan edge from node 5 to node 10 with capacity 17,\nan edge from node 5 to node 13 with capacity 20,\nan edge from node 5 to node 11 with capacity 4,\nan edge from node 5 to node 9 with capacity 3,\nan edge from node 6 to node 8 with capacity 17,\nan edge from node 6 to node 5 with capacity 15,\nan edge from node 6 to node 13 with capacity 13,\nan edge from node 6 to node 7 with capacity 15,\nan edge from node 6 to node 11 with capacity 10,\nan edge from node 6 to node 9 with capacity 20,\nan edge from node 7 to node 8 with capacity 19,\nan edge from node 7 to node 10 with capacity 8,\nan edge from node 7 to node 13 with capacity 18,\nan edge from node 7 to node 9 with capacity 6,\nan edge from node 8 to node 0 with capacity 9,\nan edge from node 8 to node 12 with capacity 1,\nan edge from node 8 to node 4 with capacity 14,\nan edge from node 8 to node 9 with capacity 20,\nan edge from node 9 to node 10 with capacity 4,\nan edge from node 9 to node 1 with capacity 20,\nan edge from node 9 to node 12 with capacity 16,\nan edge from node 9 to node 4 with capacity 10,\nan edge from node 10 to node 0 with capacity 16,\nan edge from node 10 to node 3 with capacity 2,\nan edge from node 10 to node 2 with capacity 10,\nan edge from node 11 to node 8 with capacity 15,\nan edge from node 11 to node 5 with capacity 9,\nan edge from node 11 to node 2 with capacity 18,\nan edge from node 12 to node 13 with capacity 7,\nan edge from node 12 to node 2 with capacity 16,\nan edge from node 13 to node 14 with capacity 20,\nan edge from node 13 to node 1 with capacity 11,\nan edge from node 13 to node 9 with capacity 20,\nan edge from node 14 to node 5 with capacity 11,\nan edge from node 14 to node 10 with capacity 9,\nan edge from node 14 to node 7 with capacity 15,\nan edge from node 14 to node 11 with capacity 8,\nWhat is the maximum flow from node 13 to node 2:"
            },
            {
                "from": "gpt",
                "value": "51."
            }
        ]
    },
    {
        "id": "flow-hard-graph450",
        "image": "data/flow/graph_visual/hard/graph450.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 5 with capacity 11,\nan edge from node 0 to node 7 with capacity 9,\nan edge from node 0 to node 1 with capacity 20,\nan edge from node 1 to node 3 with capacity 14,\nan edge from node 2 to node 4 with capacity 9,\nan edge from node 2 to node 12 with capacity 2,\nan edge from node 3 to node 6 with capacity 6,\nan edge from node 3 to node 7 with capacity 19,\nan edge from node 3 to node 8 with capacity 12,\nan edge from node 3 to node 1 with capacity 12,\nan edge from node 3 to node 12 with capacity 12,\nan edge from node 4 to node 7 with capacity 4,\nan edge from node 4 to node 13 with capacity 12,\nan edge from node 4 to node 12 with capacity 1,\nan edge from node 5 to node 6 with capacity 6,\nan edge from node 5 to node 2 with capacity 6,\nan edge from node 5 to node 0 with capacity 19,\nan edge from node 5 to node 13 with capacity 4,\nan edge from node 6 to node 2 with capacity 17,\nan edge from node 6 to node 0 with capacity 3,\nan edge from node 6 to node 4 with capacity 5,\nan edge from node 6 to node 1 with capacity 19,\nan edge from node 7 to node 11 with capacity 6,\nan edge from node 7 to node 3 with capacity 4,\nan edge from node 7 to node 1 with capacity 15,\nan edge from node 7 to node 12 with capacity 17,\nan edge from node 7 to node 10 with capacity 14,\nan edge from node 8 to node 2 with capacity 13,\nan edge from node 8 to node 3 with capacity 8,\nan edge from node 8 to node 13 with capacity 20,\nan edge from node 8 to node 12 with capacity 16,\nan edge from node 9 to node 6 with capacity 17,\nan edge from node 9 to node 0 with capacity 10,\nan edge from node 9 to node 7 with capacity 14,\nan edge from node 9 to node 12 with capacity 3,\nan edge from node 9 to node 10 with capacity 12,\nan edge from node 10 to node 5 with capacity 14,\nan edge from node 10 to node 11 with capacity 20,\nan edge from node 11 to node 0 with capacity 15,\nan edge from node 11 to node 7 with capacity 4,\nan edge from node 11 to node 8 with capacity 16,\nan edge from node 11 to node 10 with capacity 4,\nan edge from node 12 to node 6 with capacity 8,\nan edge from node 12 to node 0 with capacity 5,\nan edge from node 12 to node 7 with capacity 8,\nan edge from node 12 to node 4 with capacity 11,\nan edge from node 12 to node 1 with capacity 6,\nan edge from node 13 to node 2 with capacity 17,\nan edge from node 13 to node 4 with capacity 18,\nan edge from node 13 to node 12 with capacity 2,\nan edge from node 13 to node 10 with capacity 5,\nWhat is the maximum flow from node 1 to node 10:"
            },
            {
                "from": "gpt",
                "value": "14."
            }
        ]
    },
    {
        "id": "flow-hard-graph729",
        "image": "data/flow/graph_visual/hard/graph729.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 11 with capacity 13,\nan edge from node 0 to node 16 with capacity 16,\nan edge from node 0 to node 4 with capacity 20,\nan edge from node 1 to node 6 with capacity 13,\nan edge from node 1 to node 11 with capacity 2,\nan edge from node 1 to node 8 with capacity 19,\nan edge from node 2 to node 0 with capacity 19,\nan edge from node 2 to node 6 with capacity 17,\nan edge from node 2 to node 15 with capacity 11,\nan edge from node 2 to node 14 with capacity 8,\nan edge from node 2 to node 3 with capacity 18,\nan edge from node 2 to node 7 with capacity 18,\nan edge from node 2 to node 13 with capacity 13,\nan edge from node 3 to node 14 with capacity 14,\nan edge from node 3 to node 16 with capacity 5,\nan edge from node 3 to node 4 with capacity 12,\nan edge from node 3 to node 9 with capacity 3,\nan edge from node 3 to node 10 with capacity 17,\nan edge from node 4 to node 12 with capacity 1,\nan edge from node 4 to node 2 with capacity 13,\nan edge from node 4 to node 10 with capacity 1,\nan edge from node 5 to node 12 with capacity 14,\nan edge from node 5 to node 13 with capacity 7,\nan edge from node 6 to node 3 with capacity 12,\nan edge from node 6 to node 7 with capacity 14,\nan edge from node 6 to node 12 with capacity 7,\nan edge from node 6 to node 10 with capacity 9,\nan edge from node 7 to node 15 with capacity 15,\nan edge from node 8 to node 6 with capacity 18,\nan edge from node 8 to node 3 with capacity 19,\nan edge from node 8 to node 1 with capacity 17,\nan edge from node 8 to node 16 with capacity 7,\nan edge from node 8 to node 13 with capacity 13,\nan edge from node 8 to node 9 with capacity 14,\nan edge from node 8 to node 10 with capacity 10,\nan edge from node 9 to node 5 with capacity 5,\nan edge from node 9 to node 11 with capacity 11,\nan edge from node 9 to node 12 with capacity 7,\nan edge from node 10 to node 5 with capacity 15,\nan edge from node 10 to node 14 with capacity 6,\nan edge from node 10 to node 3 with capacity 17,\nan edge from node 10 to node 2 with capacity 17,\nan edge from node 11 to node 6 with capacity 2,\nan edge from node 11 to node 1 with capacity 17,\nan edge from node 11 to node 7 with capacity 20,\nan edge from node 11 to node 13 with capacity 1,\nan edge from node 12 to node 14 with capacity 13,\nan edge from node 12 to node 4 with capacity 20,\nan edge from node 13 to node 5 with capacity 7,\nan edge from node 13 to node 3 with capacity 14,\nan edge from node 13 to node 8 with capacity 17,\nan edge from node 13 to node 10 with capacity 11,\nan edge from node 14 to node 3 with capacity 8,\nan edge from node 14 to node 8 with capacity 14,\nan edge from node 14 to node 16 with capacity 16,\nan edge from node 14 to node 9 with capacity 12,\nan edge from node 14 to node 10 with capacity 15,\nan edge from node 15 to node 6 with capacity 6,\nan edge from node 15 to node 5 with capacity 3,\nan edge from node 15 to node 1 with capacity 7,\nan edge from node 15 to node 8 with capacity 13,\nan edge from node 15 to node 16 with capacity 16,\nan edge from node 15 to node 12 with capacity 18,\nan edge from node 16 to node 14 with capacity 11,\nan edge from node 16 to node 11 with capacity 18,\nan edge from node 16 to node 4 with capacity 2,\nWhat is the maximum flow from node 4 to node 1:"
            },
            {
                "from": "gpt",
                "value": "15."
            }
        ]
    },
    {
        "id": "flow-hard-graph111",
        "image": "data/flow/graph_visual/hard/graph111.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 1 with capacity 18,\nan edge from node 0 to node 9 with capacity 20,\nan edge from node 0 to node 4 with capacity 9,\nan edge from node 0 to node 3 with capacity 1,\nan edge from node 2 to node 7 with capacity 7,\nan edge from node 2 to node 4 with capacity 4,\nan edge from node 3 to node 1 with capacity 13,\nan edge from node 3 to node 10 with capacity 4,\nan edge from node 5 to node 7 with capacity 4,\nan edge from node 5 to node 9 with capacity 17,\nan edge from node 5 to node 10 with capacity 17,\nan edge from node 5 to node 4 with capacity 19,\nan edge from node 5 to node 8 with capacity 5,\nan edge from node 7 to node 5 with capacity 4,\nan edge from node 7 to node 0 with capacity 13,\nan edge from node 8 to node 3 with capacity 3,\nan edge from node 9 to node 7 with capacity 19,\nan edge from node 9 to node 8 with capacity 11,\nan edge from node 9 to node 3 with capacity 8,\nan edge from node 10 to node 8 with capacity 12,\nan edge from node 10 to node 3 with capacity 11,\nWhat is the maximum flow from node 0 to node 3:"
            },
            {
                "from": "gpt",
                "value": "16."
            }
        ]
    },
    {
        "id": "flow-hard-graph1027",
        "image": "data/flow/graph_visual/hard/graph1027.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 8 with capacity 15,\nan edge from node 0 to node 2 with capacity 4,\nan edge from node 0 to node 15 with capacity 15,\nan edge from node 0 to node 13 with capacity 18,\nan edge from node 0 to node 6 with capacity 10,\nan edge from node 0 to node 10 with capacity 6,\nan edge from node 1 to node 11 with capacity 13,\nan edge from node 1 to node 2 with capacity 5,\nan edge from node 1 to node 14 with capacity 1,\nan edge from node 1 to node 18 with capacity 15,\nan edge from node 1 to node 7 with capacity 4,\nan edge from node 1 to node 17 with capacity 6,\nan edge from node 1 to node 3 with capacity 18,\nan edge from node 2 to node 8 with capacity 15,\nan edge from node 2 to node 11 with capacity 9,\nan edge from node 2 to node 4 with capacity 13,\nan edge from node 2 to node 5 with capacity 9,\nan edge from node 2 to node 13 with capacity 13,\nan edge from node 2 to node 17 with capacity 11,\nan edge from node 2 to node 3 with capacity 16,\nan edge from node 3 to node 11 with capacity 16,\nan edge from node 3 to node 4 with capacity 1,\nan edge from node 3 to node 18 with capacity 11,\nan edge from node 4 to node 9 with capacity 10,\nan edge from node 4 to node 3 with capacity 8,\nan edge from node 4 to node 10 with capacity 3,\nan edge from node 5 to node 8 with capacity 11,\nan edge from node 5 to node 11 with capacity 2,\nan edge from node 5 to node 4 with capacity 2,\nan edge from node 5 to node 13 with capacity 15,\nan edge from node 5 to node 6 with capacity 12,\nan edge from node 5 to node 9 with capacity 4,\nan edge from node 5 to node 18 with capacity 3,\nan edge from node 5 to node 7 with capacity 2,\nan edge from node 5 to node 17 with capacity 20,\nan edge from node 6 to node 11 with capacity 5,\nan edge from node 6 to node 5 with capacity 10,\nan edge from node 6 to node 16 with capacity 14,\nan edge from node 6 to node 18 with capacity 5,\nan edge from node 7 to node 8 with capacity 9,\nan edge from node 7 to node 11 with capacity 16,\nan edge from node 7 to node 5 with capacity 12,\nan edge from node 7 to node 1 with capacity 8,\nan edge from node 7 to node 9 with capacity 16,\nan edge from node 7 to node 17 with capacity 7,\nan edge from node 8 to node 15 with capacity 17,\nan edge from node 8 to node 6 with capacity 3,\nan edge from node 8 to node 9 with capacity 12,\nan edge from node 8 to node 14 with capacity 5,\nan edge from node 9 to node 4 with capacity 12,\nan edge from node 9 to node 1 with capacity 6,\nan edge from node 9 to node 18 with capacity 7,\nan edge from node 9 to node 0 with capacity 1,\nan edge from node 10 to node 8 with capacity 12,\nan edge from node 10 to node 2 with capacity 20,\nan edge from node 10 to node 0 with capacity 13,\nan edge from node 11 to node 5 with capacity 19,\nan edge from node 11 to node 1 with capacity 11,\nan edge from node 11 to node 13 with capacity 19,\nan edge from node 11 to node 6 with capacity 17,\nan edge from node 11 to node 16 with capacity 5,\nan edge from node 11 to node 14 with capacity 12,\nan edge from node 11 to node 12 with capacity 8,\nan edge from node 12 to node 1 with capacity 19,\nan edge from node 12 to node 9 with capacity 16,\nan edge from node 12 to node 16 with capacity 3,\nan edge from node 12 to node 14 with capacity 8,\nan edge from node 12 to node 10 with capacity 19,\nan edge from node 13 to node 8 with capacity 19,\nan edge from node 13 to node 2 with capacity 12,\nan edge from node 13 to node 16 with capacity 20,\nan edge from node 13 to node 3 with capacity 18,\nan edge from node 13 to node 0 with capacity 5,\nan edge from node 14 to node 11 with capacity 3,\nan edge from node 14 to node 2 with capacity 15,\nan edge from node 14 to node 13 with capacity 19,\nan edge from node 14 to node 7 with capacity 11,\nan edge from node 14 to node 17 with capacity 10,\nan edge from node 15 to node 3 with capacity 17,\nan edge from node 15 to node 0 with capacity 6,\nan edge from node 16 to node 15 with capacity 3,\nan edge from node 16 to node 1 with capacity 14,\nan edge from node 16 to node 12 with capacity 11,\nan edge from node 16 to node 0 with capacity 17,\nan edge from node 17 to node 8 with capacity 9,\nan edge from node 17 to node 6 with capacity 7,\nan edge from node 17 to node 14 with capacity 16,\nan edge from node 17 to node 18 with capacity 13,\nan edge from node 17 to node 7 with capacity 15,\nan edge from node 17 to node 3 with capacity 2,\nan edge from node 18 to node 8 with capacity 8,\nan edge from node 18 to node 1 with capacity 13,\nan edge from node 18 to node 13 with capacity 11,\nan edge from node 18 to node 9 with capacity 7,\nan edge from node 18 to node 14 with capacity 18,\nan edge from node 18 to node 10 with capacity 1,\nWhat is the maximum flow from node 15 to node 5:"
            },
            {
                "from": "gpt",
                "value": "23."
            }
        ]
    },
    {
        "id": "flow-hard-graph480",
        "image": "data/flow/graph_visual/hard/graph480.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 1 to node 3 with capacity 13,\nan edge from node 1 to node 0 with capacity 5,\nan edge from node 1 to node 13 with capacity 18,\nan edge from node 1 to node 10 with capacity 11,\nan edge from node 1 to node 5 with capacity 16,\nan edge from node 1 to node 2 with capacity 18,\nan edge from node 2 to node 8 with capacity 20,\nan edge from node 2 to node 1 with capacity 15,\nan edge from node 2 to node 5 with capacity 1,\nan edge from node 3 to node 6 with capacity 20,\nan edge from node 3 to node 11 with capacity 19,\nan edge from node 4 to node 12 with capacity 14,\nan edge from node 4 to node 1 with capacity 14,\nan edge from node 5 to node 14 with capacity 4,\nan edge from node 5 to node 9 with capacity 20,\nan edge from node 5 to node 7 with capacity 1,\nan edge from node 5 to node 0 with capacity 16,\nan edge from node 5 to node 2 with capacity 17,\nan edge from node 6 to node 9 with capacity 1,\nan edge from node 8 to node 7 with capacity 15,\nan edge from node 8 to node 3 with capacity 2,\nan edge from node 8 to node 0 with capacity 3,\nan edge from node 9 to node 12 with capacity 12,\nan edge from node 9 to node 5 with capacity 13,\nan edge from node 10 to node 6 with capacity 9,\nan edge from node 10 to node 0 with capacity 5,\nan edge from node 10 to node 12 with capacity 7,\nan edge from node 10 to node 11 with capacity 14,\nan edge from node 11 to node 6 with capacity 20,\nan edge from node 11 to node 12 with capacity 17,\nan edge from node 12 to node 7 with capacity 12,\nan edge from node 12 to node 0 with capacity 11,\nan edge from node 12 to node 13 with capacity 10,\nan edge from node 12 to node 1 with capacity 15,\nan edge from node 12 to node 4 with capacity 20,\nan edge from node 13 to node 6 with capacity 9,\nan edge from node 13 to node 8 with capacity 17,\nan edge from node 13 to node 0 with capacity 16,\nan edge from node 13 to node 10 with capacity 16,\nan edge from node 13 to node 2 with capacity 13,\nan edge from node 13 to node 11 with capacity 3,\nan edge from node 14 to node 3 with capacity 1,\nan edge from node 14 to node 4 with capacity 13,\nWhat is the maximum flow from node 9 to node 7:"
            },
            {
                "from": "gpt",
                "value": "25."
            }
        ]
    },
    {
        "id": "flow-hard-graph453",
        "image": "data/flow/graph_visual/hard/graph453.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 13 with capacity 6,\nan edge from node 0 to node 8 with capacity 5,\nan edge from node 0 to node 5 with capacity 19,\nan edge from node 0 to node 9 with capacity 15,\nan edge from node 1 to node 8 with capacity 5,\nan edge from node 1 to node 10 with capacity 4,\nan edge from node 1 to node 4 with capacity 17,\nan edge from node 1 to node 9 with capacity 14,\nan edge from node 1 to node 6 with capacity 16,\nan edge from node 2 to node 10 with capacity 16,\nan edge from node 2 to node 4 with capacity 11,\nan edge from node 3 to node 13 with capacity 16,\nan edge from node 3 to node 12 with capacity 15,\nan edge from node 3 to node 7 with capacity 8,\nan edge from node 4 to node 5 with capacity 10,\nan edge from node 5 to node 13 with capacity 7,\nan edge from node 5 to node 8 with capacity 18,\nan edge from node 5 to node 12 with capacity 8,\nan edge from node 5 to node 9 with capacity 15,\nan edge from node 5 to node 1 with capacity 5,\nan edge from node 6 to node 8 with capacity 15,\nan edge from node 6 to node 10 with capacity 7,\nan edge from node 6 to node 12 with capacity 10,\nan edge from node 7 to node 0 with capacity 2,\nan edge from node 7 to node 9 with capacity 17,\nan edge from node 8 to node 3 with capacity 13,\nan edge from node 8 to node 2 with capacity 14,\nan edge from node 8 to node 4 with capacity 10,\nan edge from node 8 to node 6 with capacity 20,\nan edge from node 9 to node 2 with capacity 9,\nan edge from node 9 to node 11 with capacity 16,\nan edge from node 10 to node 0 with capacity 6,\nan edge from node 10 to node 4 with capacity 16,\nan edge from node 10 to node 9 with capacity 16,\nan edge from node 11 to node 3 with capacity 11,\nan edge from node 11 to node 12 with capacity 9,\nan edge from node 12 to node 13 with capacity 10,\nan edge from node 12 to node 5 with capacity 13,\nan edge from node 13 to node 3 with capacity 3,\nan edge from node 13 to node 10 with capacity 20,\nan edge from node 13 to node 11 with capacity 12,\nan edge from node 13 to node 1 with capacity 15,\nan edge from node 13 to node 6 with capacity 1,\nWhat is the maximum flow from node 3 to node 5:"
            },
            {
                "from": "gpt",
                "value": "31."
            }
        ]
    },
    {
        "id": "flow-hard-graph897",
        "image": "data/flow/graph_visual/hard/graph897.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 8 with capacity 19,\nan edge from node 0 to node 11 with capacity 6,\nan edge from node 0 to node 12 with capacity 13,\nan edge from node 0 to node 16 with capacity 18,\nan edge from node 0 to node 17 with capacity 4,\nan edge from node 0 to node 4 with capacity 10,\nan edge from node 0 to node 9 with capacity 4,\nan edge from node 0 to node 2 with capacity 18,\nan edge from node 1 to node 14 with capacity 11,\nan edge from node 1 to node 12 with capacity 4,\nan edge from node 1 to node 16 with capacity 14,\nan edge from node 1 to node 17 with capacity 19,\nan edge from node 1 to node 13 with capacity 16,\nan edge from node 1 to node 0 with capacity 8,\nan edge from node 2 to node 12 with capacity 10,\nan edge from node 2 to node 17 with capacity 12,\nan edge from node 2 to node 0 with capacity 5,\nan edge from node 2 to node 6 with capacity 8,\nan edge from node 3 to node 14 with capacity 6,\nan edge from node 3 to node 10 with capacity 3,\nan edge from node 3 to node 11 with capacity 17,\nan edge from node 3 to node 15 with capacity 13,\nan edge from node 3 to node 17 with capacity 14,\nan edge from node 3 to node 0 with capacity 9,\nan edge from node 3 to node 5 with capacity 6,\nan edge from node 4 to node 8 with capacity 9,\nan edge from node 4 to node 7 with capacity 18,\nan edge from node 4 to node 0 with capacity 2,\nan edge from node 4 to node 2 with capacity 11,\nan edge from node 5 to node 1 with capacity 12,\nan edge from node 5 to node 15 with capacity 19,\nan edge from node 5 to node 6 with capacity 1,\nan edge from node 6 to node 14 with capacity 3,\nan edge from node 6 to node 11 with capacity 13,\nan edge from node 6 to node 9 with capacity 17,\nan edge from node 6 to node 2 with capacity 6,\nan edge from node 7 to node 11 with capacity 6,\nan edge from node 7 to node 15 with capacity 11,\nan edge from node 7 to node 5 with capacity 3,\nan edge from node 7 to node 3 with capacity 16,\nan edge from node 8 to node 1 with capacity 7,\nan edge from node 8 to node 16 with capacity 2,\nan edge from node 8 to node 13 with capacity 2,\nan edge from node 8 to node 5 with capacity 19,\nan edge from node 8 to node 3 with capacity 12,\nan edge from node 9 to node 10 with capacity 19,\nan edge from node 9 to node 12 with capacity 12,\nan edge from node 9 to node 7 with capacity 10,\nan edge from node 9 to node 13 with capacity 9,\nan edge from node 10 to node 1 with capacity 8,\nan edge from node 10 to node 12 with capacity 18,\nan edge from node 10 to node 16 with capacity 3,\nan edge from node 10 to node 7 with capacity 20,\nan edge from node 10 to node 3 with capacity 18,\nan edge from node 10 to node 9 with capacity 15,\nan edge from node 11 to node 1 with capacity 7,\nan edge from node 11 to node 15 with capacity 6,\nan edge from node 11 to node 6 with capacity 17,\nan edge from node 12 to node 14 with capacity 2,\nan edge from node 12 to node 1 with capacity 12,\nan edge from node 12 to node 0 with capacity 7,\nan edge from node 12 to node 4 with capacity 4,\nan edge from node 12 to node 3 with capacity 12,\nan edge from node 12 to node 2 with capacity 6,\nan edge from node 13 to node 12 with capacity 12,\nan edge from node 13 to node 15 with capacity 16,\nan edge from node 14 to node 1 with capacity 12,\nan edge from node 14 to node 11 with capacity 16,\nan edge from node 14 to node 2 with capacity 14,\nan edge from node 15 to node 14 with capacity 3,\nan edge from node 15 to node 12 with capacity 4,\nan edge from node 15 to node 9 with capacity 14,\nan edge from node 15 to node 6 with capacity 9,\nan edge from node 16 to node 12 with capacity 8,\nan edge from node 16 to node 15 with capacity 12,\nan edge from node 16 to node 13 with capacity 11,\nan edge from node 17 to node 8 with capacity 13,\nan edge from node 17 to node 11 with capacity 7,\nan edge from node 17 to node 12 with capacity 6,\nan edge from node 17 to node 5 with capacity 1,\nWhat is the maximum flow from node 3 to node 2:"
            },
            {
                "from": "gpt",
                "value": "54."
            }
        ]
    },
    {
        "id": "flow-hard-graph877",
        "image": "data/flow/graph_visual/hard/graph877.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 15 with capacity 16,\nan edge from node 0 to node 6 with capacity 20,\nan edge from node 0 to node 11 with capacity 8,\nan edge from node 1 to node 15 with capacity 13,\nan edge from node 1 to node 14 with capacity 10,\nan edge from node 1 to node 7 with capacity 17,\nan edge from node 1 to node 2 with capacity 10,\nan edge from node 1 to node 0 with capacity 20,\nan edge from node 1 to node 12 with capacity 10,\nan edge from node 1 to node 5 with capacity 15,\nan edge from node 2 to node 8 with capacity 10,\nan edge from node 2 to node 1 with capacity 16,\nan edge from node 2 to node 0 with capacity 11,\nan edge from node 3 to node 8 with capacity 2,\nan edge from node 3 to node 1 with capacity 16,\nan edge from node 3 to node 7 with capacity 15,\nan edge from node 3 to node 9 with capacity 2,\nan edge from node 3 to node 2 with capacity 15,\nan edge from node 3 to node 5 with capacity 15,\nan edge from node 4 to node 3 with capacity 19,\nan edge from node 4 to node 17 with capacity 13,\nan edge from node 4 to node 0 with capacity 12,\nan edge from node 5 to node 1 with capacity 6,\nan edge from node 5 to node 2 with capacity 7,\nan edge from node 5 to node 11 with capacity 2,\nan edge from node 6 to node 3 with capacity 17,\nan edge from node 6 to node 16 with capacity 12,\nan edge from node 7 to node 15 with capacity 12,\nan edge from node 7 to node 14 with capacity 7,\nan edge from node 7 to node 0 with capacity 18,\nan edge from node 7 to node 13 with capacity 16,\nan edge from node 7 to node 12 with capacity 19,\nan edge from node 8 to node 15 with capacity 6,\nan edge from node 8 to node 3 with capacity 11,\nan edge from node 8 to node 17 with capacity 15,\nan edge from node 8 to node 0 with capacity 3,\nan edge from node 8 to node 11 with capacity 14,\nan edge from node 9 to node 14 with capacity 16,\nan edge from node 9 to node 1 with capacity 19,\nan edge from node 9 to node 16 with capacity 5,\nan edge from node 9 to node 10 with capacity 6,\nan edge from node 10 to node 14 with capacity 12,\nan edge from node 10 to node 3 with capacity 10,\nan edge from node 10 to node 1 with capacity 9,\nan edge from node 10 to node 16 with capacity 20,\nan edge from node 10 to node 0 with capacity 16,\nan edge from node 11 to node 15 with capacity 4,\nan edge from node 11 to node 1 with capacity 16,\nan edge from node 11 to node 9 with capacity 6,\nan edge from node 11 to node 4 with capacity 14,\nan edge from node 11 to node 12 with capacity 14,\nan edge from node 12 to node 15 with capacity 11,\nan edge from node 12 to node 14 with capacity 14,\nan edge from node 12 to node 6 with capacity 16,\nan edge from node 13 to node 4 with capacity 10,\nan edge from node 13 to node 12 with capacity 15,\nan edge from node 13 to node 11 with capacity 20,\nan edge from node 14 to node 3 with capacity 13,\nan edge from node 14 to node 1 with capacity 9,\nan edge from node 14 to node 6 with capacity 5,\nan edge from node 14 to node 2 with capacity 14,\nan edge from node 14 to node 4 with capacity 20,\nan edge from node 14 to node 12 with capacity 20,\nan edge from node 15 to node 14 with capacity 18,\nan edge from node 15 to node 3 with capacity 9,\nan edge from node 15 to node 13 with capacity 2,\nan edge from node 15 to node 12 with capacity 16,\nan edge from node 15 to node 5 with capacity 10,\nan edge from node 16 to node 4 with capacity 13,\nan edge from node 17 to node 15 with capacity 1,\nan edge from node 17 to node 8 with capacity 3,\nan edge from node 17 to node 13 with capacity 14,\nWhat is the maximum flow from node 2 to node 13:"
            },
            {
                "from": "gpt",
                "value": "32."
            }
        ]
    },
    {
        "id": "flow-hard-graph653",
        "image": "data/flow/graph_visual/hard/graph653.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 4 with capacity 19,\nan edge from node 0 to node 11 with capacity 15,\nan edge from node 0 to node 13 with capacity 8,\nan edge from node 0 to node 2 with capacity 7,\nan edge from node 0 to node 6 with capacity 8,\nan edge from node 0 to node 5 with capacity 6,\nan edge from node 0 to node 10 with capacity 4,\nan edge from node 0 to node 1 with capacity 19,\nan edge from node 1 to node 13 with capacity 11,\nan edge from node 1 to node 5 with capacity 15,\nan edge from node 1 to node 0 with capacity 10,\nan edge from node 1 to node 10 with capacity 9,\nan edge from node 1 to node 14 with capacity 2,\nan edge from node 1 to node 12 with capacity 7,\nan edge from node 2 to node 9 with capacity 4,\nan edge from node 2 to node 4 with capacity 8,\nan edge from node 2 to node 3 with capacity 14,\nan edge from node 2 to node 7 with capacity 9,\nan edge from node 3 to node 10 with capacity 3,\nan edge from node 3 to node 14 with capacity 6,\nan edge from node 4 to node 10 with capacity 17,\nan edge from node 5 to node 15 with capacity 20,\nan edge from node 5 to node 3 with capacity 19,\nan edge from node 5 to node 13 with capacity 2,\nan edge from node 5 to node 2 with capacity 9,\nan edge from node 5 to node 10 with capacity 1,\nan edge from node 6 to node 2 with capacity 12,\nan edge from node 7 to node 11 with capacity 19,\nan edge from node 7 to node 10 with capacity 18,\nan edge from node 7 to node 14 with capacity 18,\nan edge from node 8 to node 13 with capacity 5,\nan edge from node 8 to node 14 with capacity 7,\nan edge from node 8 to node 12 with capacity 18,\nan edge from node 9 to node 2 with capacity 4,\nan edge from node 9 to node 5 with capacity 10,\nan edge from node 9 to node 14 with capacity 18,\nan edge from node 9 to node 1 with capacity 5,\nan edge from node 9 to node 12 with capacity 16,\nan edge from node 9 to node 8 with capacity 16,\nan edge from node 10 to node 3 with capacity 19,\nan edge from node 10 to node 11 with capacity 1,\nan edge from node 10 to node 0 with capacity 12,\nan edge from node 10 to node 8 with capacity 20,\nan edge from node 11 to node 10 with capacity 4,\nan edge from node 11 to node 8 with capacity 5,\nan edge from node 11 to node 7 with capacity 14,\nan edge from node 12 to node 9 with capacity 3,\nan edge from node 12 to node 8 with capacity 10,\nan edge from node 12 to node 7 with capacity 13,\nan edge from node 14 to node 3 with capacity 13,\nan edge from node 14 to node 10 with capacity 15,\nan edge from node 14 to node 12 with capacity 16,\nan edge from node 15 to node 5 with capacity 5,\nan edge from node 15 to node 1 with capacity 3,\nan edge from node 15 to node 12 with capacity 9,\nWhat is the maximum flow from node 3 to node 9:"
            },
            {
                "from": "gpt",
                "value": "7."
            }
        ]
    },
    {
        "id": "flow-hard-graph791",
        "image": "data/flow/graph_visual/hard/graph791.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 12 with capacity 11,\nan edge from node 0 to node 10 with capacity 20,\nan edge from node 0 to node 4 with capacity 17,\nan edge from node 1 to node 10 with capacity 11,\nan edge from node 1 to node 4 with capacity 6,\nan edge from node 2 to node 15 with capacity 3,\nan edge from node 2 to node 8 with capacity 11,\nan edge from node 2 to node 4 with capacity 2,\nan edge from node 2 to node 7 with capacity 12,\nan edge from node 3 to node 8 with capacity 2,\nan edge from node 4 to node 6 with capacity 1,\nan edge from node 4 to node 2 with capacity 18,\nan edge from node 4 to node 14 with capacity 20,\nan edge from node 4 to node 7 with capacity 11,\nan edge from node 5 to node 15 with capacity 14,\nan edge from node 5 to node 6 with capacity 2,\nan edge from node 5 to node 16 with capacity 2,\nan edge from node 5 to node 14 with capacity 15,\nan edge from node 5 to node 7 with capacity 6,\nan edge from node 6 to node 15 with capacity 7,\nan edge from node 6 to node 12 with capacity 14,\nan edge from node 6 to node 13 with capacity 14,\nan edge from node 7 to node 8 with capacity 4,\nan edge from node 8 to node 4 with capacity 1,\nan edge from node 8 to node 1 with capacity 2,\nan edge from node 9 to node 15 with capacity 11,\nan edge from node 9 to node 12 with capacity 18,\nan edge from node 9 to node 11 with capacity 11,\nan edge from node 10 to node 6 with capacity 13,\nan edge from node 10 to node 12 with capacity 14,\nan edge from node 10 to node 14 with capacity 20,\nan edge from node 10 to node 13 with capacity 20,\nan edge from node 11 to node 12 with capacity 7,\nan edge from node 11 to node 14 with capacity 13,\nan edge from node 11 to node 1 with capacity 6,\nan edge from node 12 to node 15 with capacity 18,\nan edge from node 12 to node 2 with capacity 12,\nan edge from node 12 to node 16 with capacity 6,\nan edge from node 12 to node 10 with capacity 15,\nan edge from node 12 to node 4 with capacity 9,\nan edge from node 12 to node 7 with capacity 15,\nan edge from node 12 to node 13 with capacity 10,\nan edge from node 13 to node 0 with capacity 1,\nan edge from node 13 to node 16 with capacity 5,\nan edge from node 13 to node 14 with capacity 20,\nan edge from node 14 to node 2 with capacity 19,\nan edge from node 14 to node 10 with capacity 3,\nan edge from node 14 to node 11 with capacity 12,\nan edge from node 15 to node 3 with capacity 12,\nan edge from node 15 to node 16 with capacity 13,\nan edge from node 15 to node 12 with capacity 10,\nan edge from node 15 to node 5 with capacity 4,\nan edge from node 15 to node 14 with capacity 6,\nan edge from node 15 to node 11 with capacity 16,\nan edge from node 16 to node 1 with capacity 18,\nan edge from node 16 to node 9 with capacity 19,\nWhat is the maximum flow from node 1 to node 7:"
            },
            {
                "from": "gpt",
                "value": "17."
            }
        ]
    },
    {
        "id": "flow-hard-graph245",
        "image": "data/flow/graph_visual/hard/graph245.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 9 with capacity 10,\nan edge from node 0 to node 1 with capacity 8,\nan edge from node 0 to node 2 with capacity 11,\nan edge from node 0 to node 4 with capacity 9,\nan edge from node 0 to node 8 with capacity 8,\nan edge from node 1 to node 7 with capacity 15,\nan edge from node 1 to node 5 with capacity 3,\nan edge from node 1 to node 0 with capacity 2,\nan edge from node 1 to node 11 with capacity 6,\nan edge from node 2 to node 6 with capacity 2,\nan edge from node 2 to node 1 with capacity 1,\nan edge from node 2 to node 7 with capacity 3,\nan edge from node 2 to node 4 with capacity 14,\nan edge from node 2 to node 0 with capacity 20,\nan edge from node 3 to node 6 with capacity 11,\nan edge from node 3 to node 8 with capacity 3,\nan edge from node 4 to node 2 with capacity 5,\nan edge from node 4 to node 8 with capacity 20,\nan edge from node 4 to node 12 with capacity 13,\nan edge from node 5 to node 1 with capacity 20,\nan edge from node 5 to node 7 with capacity 11,\nan edge from node 5 to node 0 with capacity 8,\nan edge from node 5 to node 11 with capacity 20,\nan edge from node 6 to node 10 with capacity 20,\nan edge from node 6 to node 4 with capacity 18,\nan edge from node 6 to node 5 with capacity 20,\nan edge from node 6 to node 3 with capacity 6,\nan edge from node 7 to node 9 with capacity 20,\nan edge from node 7 to node 6 with capacity 19,\nan edge from node 7 to node 4 with capacity 17,\nan edge from node 7 to node 5 with capacity 8,\nan edge from node 8 to node 6 with capacity 2,\nan edge from node 8 to node 12 with capacity 13,\nan edge from node 9 to node 2 with capacity 20,\nan edge from node 9 to node 5 with capacity 1,\nan edge from node 9 to node 3 with capacity 10,\nan edge from node 10 to node 4 with capacity 4,\nan edge from node 10 to node 5 with capacity 4,\nan edge from node 10 to node 3 with capacity 16,\nan edge from node 11 to node 7 with capacity 20,\nan edge from node 11 to node 4 with capacity 14,\nan edge from node 12 to node 4 with capacity 10,\nan edge from node 12 to node 5 with capacity 9,\nWhat is the maximum flow from node 3 to node 6:"
            },
            {
                "from": "gpt",
                "value": "14."
            }
        ]
    },
    {
        "id": "flow-hard-graph491",
        "image": "data/flow/graph_visual/hard/graph491.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 2 with capacity 18,\nan edge from node 0 to node 12 with capacity 10,\nan edge from node 0 to node 1 with capacity 14,\nan edge from node 0 to node 4 with capacity 1,\nan edge from node 1 to node 9 with capacity 10,\nan edge from node 1 to node 8 with capacity 12,\nan edge from node 1 to node 3 with capacity 16,\nan edge from node 2 to node 0 with capacity 6,\nan edge from node 2 to node 3 with capacity 13,\nan edge from node 2 to node 14 with capacity 10,\nan edge from node 2 to node 10 with capacity 13,\nan edge from node 2 to node 6 with capacity 14,\nan edge from node 3 to node 12 with capacity 8,\nan edge from node 3 to node 8 with capacity 20,\nan edge from node 3 to node 4 with capacity 12,\nan edge from node 4 to node 0 with capacity 19,\nan edge from node 4 to node 6 with capacity 18,\nan edge from node 5 to node 11 with capacity 11,\nan edge from node 5 to node 3 with capacity 13,\nan edge from node 5 to node 1 with capacity 1,\nan edge from node 5 to node 14 with capacity 8,\nan edge from node 5 to node 4 with capacity 1,\nan edge from node 5 to node 7 with capacity 10,\nan edge from node 5 to node 6 with capacity 18,\nan edge from node 6 to node 11 with capacity 7,\nan edge from node 6 to node 3 with capacity 8,\nan edge from node 6 to node 14 with capacity 10,\nan edge from node 6 to node 10 with capacity 20,\nan edge from node 7 to node 0 with capacity 11,\nan edge from node 7 to node 8 with capacity 6,\nan edge from node 7 to node 1 with capacity 9,\nan edge from node 7 to node 10 with capacity 17,\nan edge from node 8 to node 3 with capacity 6,\nan edge from node 9 to node 11 with capacity 9,\nan edge from node 9 to node 2 with capacity 12,\nan edge from node 9 to node 4 with capacity 4,\nan edge from node 10 to node 2 with capacity 14,\nan edge from node 10 to node 0 with capacity 17,\nan edge from node 10 to node 3 with capacity 9,\nan edge from node 11 to node 2 with capacity 8,\nan edge from node 11 to node 3 with capacity 11,\nan edge from node 11 to node 4 with capacity 17,\nan edge from node 11 to node 7 with capacity 4,\nan edge from node 12 to node 5 with capacity 13,\nan edge from node 12 to node 3 with capacity 2,\nan edge from node 13 to node 9 with capacity 13,\nan edge from node 14 to node 0 with capacity 7,\nan edge from node 14 to node 12 with capacity 10,\nan edge from node 14 to node 10 with capacity 6,\nan edge from node 14 to node 7 with capacity 2,\nWhat is the maximum flow from node 11 to node 7:"
            },
            {
                "from": "gpt",
                "value": "16."
            }
        ]
    },
    {
        "id": "flow-hard-graph863",
        "image": "data/flow/graph_visual/hard/graph863.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 4 with capacity 20,\nan edge from node 0 to node 12 with capacity 6,\nan edge from node 0 to node 7 with capacity 2,\nan edge from node 0 to node 15 with capacity 2,\nan edge from node 0 to node 5 with capacity 11,\nan edge from node 1 to node 4 with capacity 15,\nan edge from node 1 to node 14 with capacity 7,\nan edge from node 1 to node 7 with capacity 12,\nan edge from node 1 to node 16 with capacity 10,\nan edge from node 2 to node 17 with capacity 8,\nan edge from node 2 to node 6 with capacity 12,\nan edge from node 2 to node 9 with capacity 15,\nan edge from node 2 to node 11 with capacity 9,\nan edge from node 3 to node 13 with capacity 7,\nan edge from node 3 to node 11 with capacity 6,\nan edge from node 4 to node 17 with capacity 5,\nan edge from node 4 to node 12 with capacity 20,\nan edge from node 4 to node 13 with capacity 16,\nan edge from node 4 to node 9 with capacity 13,\nan edge from node 4 to node 11 with capacity 16,\nan edge from node 4 to node 16 with capacity 15,\nan edge from node 5 to node 17 with capacity 18,\nan edge from node 5 to node 4 with capacity 2,\nan edge from node 5 to node 12 with capacity 10,\nan edge from node 5 to node 13 with capacity 9,\nan edge from node 5 to node 16 with capacity 11,\nan edge from node 5 to node 15 with capacity 10,\nan edge from node 6 to node 17 with capacity 19,\nan edge from node 6 to node 10 with capacity 2,\nan edge from node 6 to node 9 with capacity 2,\nan edge from node 7 to node 14 with capacity 13,\nan edge from node 7 to node 2 with capacity 13,\nan edge from node 7 to node 5 with capacity 7,\nan edge from node 8 to node 14 with capacity 1,\nan edge from node 8 to node 12 with capacity 1,\nan edge from node 8 to node 6 with capacity 11,\nan edge from node 8 to node 0 with capacity 9,\nan edge from node 8 to node 2 with capacity 19,\nan edge from node 8 to node 5 with capacity 15,\nan edge from node 9 to node 6 with capacity 13,\nan edge from node 9 to node 7 with capacity 4,\nan edge from node 9 to node 0 with capacity 6,\nan edge from node 9 to node 8 with capacity 4,\nan edge from node 9 to node 11 with capacity 20,\nan edge from node 9 to node 15 with capacity 2,\nan edge from node 9 to node 5 with capacity 15,\nan edge from node 10 to node 14 with capacity 15,\nan edge from node 10 to node 0 with capacity 11,\nan edge from node 10 to node 8 with capacity 4,\nan edge from node 10 to node 11 with capacity 4,\nan edge from node 10 to node 2 with capacity 1,\nan edge from node 10 to node 16 with capacity 15,\nan edge from node 10 to node 15 with capacity 19,\nan edge from node 11 to node 1 with capacity 8,\nan edge from node 11 to node 10 with capacity 8,\nan edge from node 11 to node 0 with capacity 8,\nan edge from node 11 to node 9 with capacity 20,\nan edge from node 11 to node 8 with capacity 4,\nan edge from node 11 to node 2 with capacity 4,\nan edge from node 11 to node 16 with capacity 13,\nan edge from node 11 to node 5 with capacity 15,\nan edge from node 12 to node 10 with capacity 1,\nan edge from node 13 to node 10 with capacity 12,\nan edge from node 13 to node 4 with capacity 19,\nan edge from node 14 to node 17 with capacity 20,\nan edge from node 14 to node 4 with capacity 10,\nan edge from node 14 to node 12 with capacity 15,\nan edge from node 14 to node 3 with capacity 8,\nan edge from node 15 to node 1 with capacity 17,\nan edge from node 15 to node 14 with capacity 18,\nan edge from node 15 to node 16 with capacity 4,\nan edge from node 16 to node 17 with capacity 16,\nan edge from node 16 to node 1 with capacity 7,\nan edge from node 16 to node 4 with capacity 1,\nan edge from node 16 to node 11 with capacity 16,\nan edge from node 16 to node 2 with capacity 1,\nan edge from node 17 to node 1 with capacity 19,\nan edge from node 17 to node 4 with capacity 17,\nan edge from node 17 to node 12 with capacity 19,\nan edge from node 17 to node 0 with capacity 1,\nan edge from node 17 to node 8 with capacity 15,\nan edge from node 17 to node 5 with capacity 9,\nWhat is the maximum flow from node 11 to node 4:"
            },
            {
                "from": "gpt",
                "value": "80."
            }
        ]
    },
    {
        "id": "flow-hard-graph421",
        "image": "data/flow/graph_visual/hard/graph421.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 11 with capacity 20,\nan edge from node 0 to node 2 with capacity 14,\nan edge from node 0 to node 13 with capacity 15,\nan edge from node 1 to node 12 with capacity 2,\nan edge from node 1 to node 10 with capacity 14,\nan edge from node 2 to node 4 with capacity 14,\nan edge from node 2 to node 7 with capacity 18,\nan edge from node 2 to node 9 with capacity 16,\nan edge from node 2 to node 5 with capacity 14,\nan edge from node 3 to node 2 with capacity 10,\nan edge from node 4 to node 0 with capacity 5,\nan edge from node 4 to node 12 with capacity 16,\nan edge from node 4 to node 3 with capacity 2,\nan edge from node 4 to node 6 with capacity 20,\nan edge from node 5 to node 0 with capacity 6,\nan edge from node 5 to node 11 with capacity 12,\nan edge from node 5 to node 8 with capacity 10,\nan edge from node 6 to node 4 with capacity 4,\nan edge from node 6 to node 7 with capacity 16,\nan edge from node 6 to node 0 with capacity 8,\nan edge from node 6 to node 11 with capacity 10,\nan edge from node 6 to node 10 with capacity 1,\nan edge from node 7 to node 9 with capacity 19,\nan edge from node 7 to node 2 with capacity 15,\nan edge from node 7 to node 6 with capacity 8,\nan edge from node 8 to node 9 with capacity 3,\nan edge from node 8 to node 3 with capacity 11,\nan edge from node 8 to node 1 with capacity 5,\nan edge from node 8 to node 6 with capacity 8,\nan edge from node 9 to node 4 with capacity 12,\nan edge from node 9 to node 7 with capacity 2,\nan edge from node 9 to node 2 with capacity 15,\nan edge from node 10 to node 7 with capacity 6,\nan edge from node 10 to node 12 with capacity 14,\nan edge from node 10 to node 5 with capacity 11,\nan edge from node 11 to node 0 with capacity 3,\nan edge from node 11 to node 12 with capacity 6,\nan edge from node 11 to node 13 with capacity 7,\nan edge from node 11 to node 6 with capacity 17,\nan edge from node 12 to node 4 with capacity 5,\nan edge from node 13 to node 3 with capacity 10,\nWhat is the maximum flow from node 6 to node 0:"
            },
            {
                "from": "gpt",
                "value": "22."
            }
        ]
    },
    {
        "id": "flow-hard-graph887",
        "image": "data/flow/graph_visual/hard/graph887.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 2 with capacity 16,\nan edge from node 0 to node 11 with capacity 3,\nan edge from node 0 to node 16 with capacity 11,\nan edge from node 0 to node 12 with capacity 17,\nan edge from node 0 to node 5 with capacity 16,\nan edge from node 1 to node 17 with capacity 7,\nan edge from node 1 to node 6 with capacity 16,\nan edge from node 1 to node 16 with capacity 12,\nan edge from node 1 to node 4 with capacity 10,\nan edge from node 1 to node 10 with capacity 12,\nan edge from node 1 to node 15 with capacity 9,\nan edge from node 2 to node 0 with capacity 15,\nan edge from node 2 to node 5 with capacity 3,\nan edge from node 2 to node 14 with capacity 14,\nan edge from node 3 to node 17 with capacity 7,\nan edge from node 3 to node 8 with capacity 5,\nan edge from node 3 to node 16 with capacity 15,\nan edge from node 3 to node 10 with capacity 10,\nan edge from node 4 to node 8 with capacity 6,\nan edge from node 4 to node 12 with capacity 3,\nan edge from node 4 to node 14 with capacity 10,\nan edge from node 5 to node 0 with capacity 18,\nan edge from node 5 to node 3 with capacity 18,\nan edge from node 5 to node 11 with capacity 7,\nan edge from node 5 to node 13 with capacity 16,\nan edge from node 6 to node 17 with capacity 20,\nan edge from node 7 to node 17 with capacity 20,\nan edge from node 7 to node 6 with capacity 13,\nan edge from node 7 to node 8 with capacity 5,\nan edge from node 7 to node 11 with capacity 17,\nan edge from node 7 to node 4 with capacity 3,\nan edge from node 7 to node 13 with capacity 6,\nan edge from node 7 to node 1 with capacity 2,\nan edge from node 8 to node 2 with capacity 4,\nan edge from node 8 to node 16 with capacity 20,\nan edge from node 8 to node 10 with capacity 3,\nan edge from node 9 to node 6 with capacity 4,\nan edge from node 9 to node 13 with capacity 12,\nan edge from node 9 to node 10 with capacity 6,\nan edge from node 9 to node 14 with capacity 6,\nan edge from node 10 to node 0 with capacity 20,\nan edge from node 10 to node 6 with capacity 5,\nan edge from node 10 to node 8 with capacity 8,\nan edge from node 10 to node 1 with capacity 18,\nan edge from node 11 to node 12 with capacity 13,\nan edge from node 11 to node 13 with capacity 4,\nan edge from node 11 to node 10 with capacity 15,\nan edge from node 12 to node 17 with capacity 13,\nan edge from node 12 to node 9 with capacity 4,\nan edge from node 12 to node 15 with capacity 13,\nan edge from node 13 to node 11 with capacity 8,\nan edge from node 13 to node 4 with capacity 10,\nan edge from node 13 to node 12 with capacity 9,\nan edge from node 13 to node 1 with capacity 15,\nan edge from node 13 to node 10 with capacity 2,\nan edge from node 13 to node 14 with capacity 18,\nan edge from node 13 to node 15 with capacity 6,\nan edge from node 14 to node 3 with capacity 6,\nan edge from node 14 to node 11 with capacity 4,\nan edge from node 14 to node 16 with capacity 6,\nan edge from node 14 to node 10 with capacity 9,\nan edge from node 14 to node 15 with capacity 5,\nan edge from node 15 to node 16 with capacity 10,\nan edge from node 15 to node 4 with capacity 20,\nan edge from node 15 to node 10 with capacity 3,\nan edge from node 15 to node 9 with capacity 9,\nan edge from node 16 to node 17 with capacity 8,\nan edge from node 16 to node 8 with capacity 18,\nan edge from node 16 to node 11 with capacity 7,\nan edge from node 16 to node 4 with capacity 6,\nan edge from node 16 to node 10 with capacity 15,\nan edge from node 16 to node 7 with capacity 2,\nan edge from node 16 to node 9 with capacity 2,\nan edge from node 17 to node 4 with capacity 11,\nWhat is the maximum flow from node 11 to node 9:"
            },
            {
                "from": "gpt",
                "value": "15."
            }
        ]
    },
    {
        "id": "flow-hard-graph755",
        "image": "data/flow/graph_visual/hard/graph755.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 2 with capacity 11,\nan edge from node 0 to node 10 with capacity 4,\nan edge from node 1 to node 2 with capacity 8,\nan edge from node 1 to node 6 with capacity 4,\nan edge from node 1 to node 3 with capacity 4,\nan edge from node 1 to node 12 with capacity 5,\nan edge from node 1 to node 15 with capacity 1,\nan edge from node 2 to node 9 with capacity 12,\nan edge from node 2 to node 3 with capacity 2,\nan edge from node 2 to node 4 with capacity 14,\nan edge from node 2 to node 0 with capacity 19,\nan edge from node 2 to node 8 with capacity 20,\nan edge from node 2 to node 13 with capacity 11,\nan edge from node 3 to node 16 with capacity 8,\nan edge from node 3 to node 12 with capacity 16,\nan edge from node 3 to node 5 with capacity 13,\nan edge from node 4 to node 11 with capacity 13,\nan edge from node 4 to node 2 with capacity 19,\nan edge from node 4 to node 5 with capacity 13,\nan edge from node 4 to node 15 with capacity 3,\nan edge from node 4 to node 13 with capacity 5,\nan edge from node 5 to node 16 with capacity 2,\nan edge from node 5 to node 7 with capacity 6,\nan edge from node 5 to node 14 with capacity 14,\nan edge from node 5 to node 12 with capacity 9,\nan edge from node 5 to node 4 with capacity 1,\nan edge from node 5 to node 15 with capacity 8,\nan edge from node 6 to node 2 with capacity 16,\nan edge from node 6 to node 14 with capacity 19,\nan edge from node 6 to node 10 with capacity 6,\nan edge from node 6 to node 8 with capacity 2,\nan edge from node 7 to node 11 with capacity 17,\nan edge from node 7 to node 16 with capacity 12,\nan edge from node 7 to node 2 with capacity 19,\nan edge from node 7 to node 6 with capacity 2,\nan edge from node 7 to node 3 with capacity 4,\nan edge from node 7 to node 12 with capacity 16,\nan edge from node 7 to node 0 with capacity 14,\nan edge from node 7 to node 8 with capacity 9,\nan edge from node 8 to node 9 with capacity 1,\nan edge from node 8 to node 6 with capacity 6,\nan edge from node 8 to node 12 with capacity 6,\nan edge from node 8 to node 4 with capacity 13,\nan edge from node 8 to node 0 with capacity 13,\nan edge from node 9 to node 11 with capacity 19,\nan edge from node 9 to node 15 with capacity 2,\nan edge from node 9 to node 0 with capacity 13,\nan edge from node 9 to node 8 with capacity 10,\nan edge from node 10 to node 16 with capacity 3,\nan edge from node 10 to node 9 with capacity 1,\nan edge from node 10 to node 5 with capacity 20,\nan edge from node 10 to node 13 with capacity 5,\nan edge from node 11 to node 6 with capacity 7,\nan edge from node 11 to node 12 with capacity 3,\nan edge from node 11 to node 10 with capacity 1,\nan edge from node 11 to node 8 with capacity 17,\nan edge from node 12 to node 16 with capacity 19,\nan edge from node 12 to node 7 with capacity 20,\nan edge from node 12 to node 14 with capacity 6,\nan edge from node 12 to node 4 with capacity 1,\nan edge from node 12 to node 10 with capacity 8,\nan edge from node 12 to node 0 with capacity 8,\nan edge from node 12 to node 8 with capacity 19,\nan edge from node 13 to node 4 with capacity 11,\nan edge from node 13 to node 15 with capacity 14,\nan edge from node 13 to node 10 with capacity 3,\nan edge from node 14 to node 11 with capacity 1,\nan edge from node 14 to node 16 with capacity 9,\nan edge from node 14 to node 2 with capacity 7,\nan edge from node 14 to node 6 with capacity 13,\nan edge from node 15 to node 2 with capacity 9,\nan edge from node 15 to node 8 with capacity 4,\nan edge from node 15 to node 13 with capacity 4,\nan edge from node 16 to node 4 with capacity 4,\nan edge from node 16 to node 15 with capacity 16,\nan edge from node 16 to node 8 with capacity 13,\nWhat is the maximum flow from node 1 to node 4:"
            },
            {
                "from": "gpt",
                "value": "22."
            }
        ]
    },
    {
        "id": "flow-hard-graph720",
        "image": "data/flow/graph_visual/hard/graph720.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 10 with capacity 9,\nan edge from node 0 to node 16 with capacity 3,\nan edge from node 0 to node 8 with capacity 10,\nan edge from node 1 to node 5 with capacity 18,\nan edge from node 1 to node 15 with capacity 15,\nan edge from node 1 to node 13 with capacity 9,\nan edge from node 1 to node 10 with capacity 8,\nan edge from node 1 to node 6 with capacity 20,\nan edge from node 2 to node 5 with capacity 10,\nan edge from node 2 to node 14 with capacity 5,\nan edge from node 2 to node 16 with capacity 3,\nan edge from node 2 to node 9 with capacity 11,\nan edge from node 2 to node 4 with capacity 1,\nan edge from node 3 to node 2 with capacity 6,\nan edge from node 3 to node 1 with capacity 3,\nan edge from node 4 to node 15 with capacity 12,\nan edge from node 4 to node 2 with capacity 3,\nan edge from node 4 to node 1 with capacity 16,\nan edge from node 5 to node 15 with capacity 10,\nan edge from node 5 to node 12 with capacity 6,\nan edge from node 5 to node 13 with capacity 15,\nan edge from node 5 to node 10 with capacity 6,\nan edge from node 5 to node 9 with capacity 14,\nan edge from node 5 to node 4 with capacity 16,\nan edge from node 6 to node 15 with capacity 17,\nan edge from node 6 to node 3 with capacity 17,\nan edge from node 6 to node 13 with capacity 11,\nan edge from node 6 to node 14 with capacity 15,\nan edge from node 7 to node 2 with capacity 8,\nan edge from node 7 to node 12 with capacity 1,\nan edge from node 7 to node 10 with capacity 9,\nan edge from node 7 to node 8 with capacity 4,\nan edge from node 8 to node 3 with capacity 2,\nan edge from node 8 to node 16 with capacity 9,\nan edge from node 8 to node 6 with capacity 2,\nan edge from node 8 to node 0 with capacity 15,\nan edge from node 8 to node 11 with capacity 11,\nan edge from node 9 to node 2 with capacity 8,\nan edge from node 9 to node 3 with capacity 17,\nan edge from node 9 to node 13 with capacity 13,\nan edge from node 9 to node 16 with capacity 14,\nan edge from node 10 to node 15 with capacity 3,\nan edge from node 10 to node 2 with capacity 19,\nan edge from node 10 to node 7 with capacity 4,\nan edge from node 10 to node 14 with capacity 6,\nan edge from node 10 to node 4 with capacity 2,\nan edge from node 11 to node 15 with capacity 16,\nan edge from node 11 to node 7 with capacity 7,\nan edge from node 11 to node 13 with capacity 16,\nan edge from node 11 to node 9 with capacity 10,\nan edge from node 12 to node 2 with capacity 12,\nan edge from node 12 to node 13 with capacity 5,\nan edge from node 12 to node 6 with capacity 8,\nan edge from node 12 to node 0 with capacity 19,\nan edge from node 12 to node 4 with capacity 9,\nan edge from node 12 to node 8 with capacity 4,\nan edge from node 13 to node 5 with capacity 3,\nan edge from node 13 to node 12 with capacity 17,\nan edge from node 13 to node 6 with capacity 14,\nan edge from node 13 to node 0 with capacity 17,\nan edge from node 14 to node 2 with capacity 19,\nan edge from node 14 to node 12 with capacity 16,\nan edge from node 14 to node 1 with capacity 11,\nan edge from node 14 to node 6 with capacity 4,\nan edge from node 14 to node 0 with capacity 13,\nan edge from node 15 to node 3 with capacity 13,\nan edge from node 15 to node 7 with capacity 3,\nan edge from node 15 to node 10 with capacity 6,\nan edge from node 16 to node 5 with capacity 19,\nan edge from node 16 to node 12 with capacity 17,\nWhat is the maximum flow from node 0 to node 7:"
            },
            {
                "from": "gpt",
                "value": "14."
            }
        ]
    },
    {
        "id": "flow-hard-graph105",
        "image": "data/flow/graph_visual/hard/graph105.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 2 with capacity 8,\nan edge from node 0 to node 1 with capacity 10,\nan edge from node 1 to node 4 with capacity 1,\nan edge from node 1 to node 10 with capacity 16,\nan edge from node 1 to node 7 with capacity 20,\nan edge from node 2 to node 3 with capacity 12,\nan edge from node 2 to node 10 with capacity 9,\nan edge from node 3 to node 2 with capacity 19,\nan edge from node 3 to node 0 with capacity 18,\nan edge from node 4 to node 2 with capacity 14,\nan edge from node 4 to node 8 with capacity 10,\nan edge from node 4 to node 6 with capacity 5,\nan edge from node 4 to node 9 with capacity 11,\nan edge from node 6 to node 10 with capacity 12,\nan edge from node 6 to node 8 with capacity 17,\nan edge from node 6 to node 1 with capacity 18,\nan edge from node 7 to node 10 with capacity 1,\nan edge from node 7 to node 5 with capacity 16,\nan edge from node 8 to node 4 with capacity 11,\nan edge from node 8 to node 6 with capacity 11,\nan edge from node 9 to node 3 with capacity 12,\nan edge from node 9 to node 1 with capacity 1,\nan edge from node 10 to node 3 with capacity 1,\nan edge from node 10 to node 8 with capacity 16,\nan edge from node 10 to node 5 with capacity 16,\nan edge from node 10 to node 1 with capacity 13,\nWhat is the maximum flow from node 0 to node 5:"
            },
            {
                "from": "gpt",
                "value": "18."
            }
        ]
    },
    {
        "id": "flow-hard-graph1065",
        "image": "data/flow/graph_visual/hard/graph1065.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 14 with capacity 15,\nan edge from node 0 to node 6 with capacity 6,\nan edge from node 1 to node 5 with capacity 19,\nan edge from node 1 to node 0 with capacity 17,\nan edge from node 1 to node 4 with capacity 18,\nan edge from node 1 to node 3 with capacity 18,\nan edge from node 1 to node 17 with capacity 13,\nan edge from node 1 to node 8 with capacity 7,\nan edge from node 1 to node 13 with capacity 20,\nan edge from node 2 to node 16 with capacity 10,\nan edge from node 2 to node 6 with capacity 6,\nan edge from node 3 to node 0 with capacity 10,\nan edge from node 3 to node 11 with capacity 11,\nan edge from node 3 to node 2 with capacity 18,\nan edge from node 3 to node 6 with capacity 3,\nan edge from node 3 to node 9 with capacity 2,\nan edge from node 4 to node 11 with capacity 5,\nan edge from node 5 to node 4 with capacity 4,\nan edge from node 5 to node 1 with capacity 17,\nan edge from node 5 to node 16 with capacity 2,\nan edge from node 5 to node 8 with capacity 9,\nan edge from node 6 to node 15 with capacity 4,\nan edge from node 6 to node 11 with capacity 3,\nan edge from node 6 to node 7 with capacity 14,\nan edge from node 6 to node 8 with capacity 8,\nan edge from node 6 to node 12 with capacity 9,\nan edge from node 7 to node 15 with capacity 3,\nan edge from node 7 to node 5 with capacity 7,\nan edge from node 7 to node 17 with capacity 12,\nan edge from node 8 to node 5 with capacity 4,\nan edge from node 9 to node 4 with capacity 15,\nan edge from node 9 to node 1 with capacity 12,\nan edge from node 9 to node 16 with capacity 18,\nan edge from node 9 to node 14 with capacity 11,\nan edge from node 9 to node 13 with capacity 16,\nan edge from node 10 to node 5 with capacity 17,\nan edge from node 10 to node 16 with capacity 5,\nan edge from node 10 to node 8 with capacity 4,\nan edge from node 11 to node 14 with capacity 16,\nan edge from node 11 to node 9 with capacity 20,\nan edge from node 11 to node 18 with capacity 7,\nan edge from node 12 to node 5 with capacity 7,\nan edge from node 12 to node 0 with capacity 18,\nan edge from node 12 to node 16 with capacity 8,\nan edge from node 12 to node 10 with capacity 7,\nan edge from node 13 to node 1 with capacity 5,\nan edge from node 13 to node 10 with capacity 10,\nan edge from node 13 to node 17 with capacity 13,\nan edge from node 13 to node 9 with capacity 11,\nan edge from node 14 to node 5 with capacity 9,\nan edge from node 14 to node 0 with capacity 11,\nan edge from node 14 to node 16 with capacity 2,\nan edge from node 14 to node 10 with capacity 8,\nan edge from node 15 to node 1 with capacity 19,\nan edge from node 15 to node 16 with capacity 1,\nan edge from node 15 to node 10 with capacity 5,\nan edge from node 15 to node 14 with capacity 12,\nan edge from node 15 to node 12 with capacity 10,\nan edge from node 16 to node 10 with capacity 16,\nan edge from node 16 to node 3 with capacity 20,\nan edge from node 16 to node 9 with capacity 16,\nan edge from node 17 to node 0 with capacity 20,\nan edge from node 17 to node 4 with capacity 14,\nan edge from node 17 to node 10 with capacity 3,\nan edge from node 17 to node 9 with capacity 6,\nan edge from node 18 to node 0 with capacity 14,\nan edge from node 18 to node 8 with capacity 4,\nan edge from node 18 to node 9 with capacity 13,\nWhat is the maximum flow from node 9 to node 13:"
            },
            {
                "from": "gpt",
                "value": "36."
            }
        ]
    },
    {
        "id": "flow-hard-graph853",
        "image": "data/flow/graph_visual/hard/graph853.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 8 with capacity 17,\nan edge from node 0 to node 1 with capacity 19,\nan edge from node 0 to node 17 with capacity 17,\nan edge from node 0 to node 14 with capacity 5,\nan edge from node 0 to node 5 with capacity 12,\nan edge from node 1 to node 0 with capacity 14,\nan edge from node 1 to node 6 with capacity 7,\nan edge from node 2 to node 10 with capacity 7,\nan edge from node 2 to node 13 with capacity 18,\nan edge from node 2 to node 0 with capacity 8,\nan edge from node 2 to node 6 with capacity 4,\nan edge from node 2 to node 12 with capacity 11,\nan edge from node 3 to node 10 with capacity 9,\nan edge from node 4 to node 0 with capacity 4,\nan edge from node 4 to node 16 with capacity 1,\nan edge from node 4 to node 5 with capacity 20,\nan edge from node 5 to node 10 with capacity 13,\nan edge from node 5 to node 6 with capacity 10,\nan edge from node 6 to node 17 with capacity 5,\nan edge from node 6 to node 16 with capacity 19,\nan edge from node 6 to node 2 with capacity 4,\nan edge from node 6 to node 5 with capacity 17,\nan edge from node 7 to node 11 with capacity 1,\nan edge from node 7 to node 14 with capacity 4,\nan edge from node 8 to node 0 with capacity 4,\nan edge from node 8 to node 11 with capacity 19,\nan edge from node 8 to node 15 with capacity 8,\nan edge from node 8 to node 12 with capacity 8,\nan edge from node 9 to node 8 with capacity 1,\nan edge from node 9 to node 6 with capacity 11,\nan edge from node 9 to node 2 with capacity 14,\nan edge from node 9 to node 5 with capacity 20,\nan edge from node 10 to node 17 with capacity 19,\nan edge from node 10 to node 14 with capacity 8,\nan edge from node 10 to node 2 with capacity 18,\nan edge from node 10 to node 5 with capacity 17,\nan edge from node 11 to node 17 with capacity 10,\nan edge from node 11 to node 0 with capacity 12,\nan edge from node 12 to node 8 with capacity 14,\nan edge from node 12 to node 13 with capacity 5,\nan edge from node 12 to node 9 with capacity 5,\nan edge from node 12 to node 1 with capacity 7,\nan edge from node 12 to node 2 with capacity 7,\nan edge from node 13 to node 4 with capacity 10,\nan edge from node 13 to node 11 with capacity 17,\nan edge from node 13 to node 14 with capacity 15,\nan edge from node 13 to node 3 with capacity 5,\nan edge from node 13 to node 12 with capacity 10,\nan edge from node 13 to node 5 with capacity 7,\nan edge from node 14 to node 11 with capacity 18,\nan edge from node 14 to node 15 with capacity 7,\nan edge from node 14 to node 12 with capacity 7,\nan edge from node 14 to node 5 with capacity 13,\nan edge from node 15 to node 0 with capacity 3,\nan edge from node 15 to node 3 with capacity 8,\nan edge from node 15 to node 12 with capacity 8,\nan edge from node 15 to node 2 with capacity 8,\nan edge from node 15 to node 5 with capacity 10,\nan edge from node 16 to node 8 with capacity 20,\nan edge from node 16 to node 11 with capacity 4,\nan edge from node 16 to node 3 with capacity 1,\nan edge from node 16 to node 6 with capacity 3,\nan edge from node 17 to node 1 with capacity 16,\nan edge from node 17 to node 5 with capacity 13,\nWhat is the maximum flow from node 6 to node 15:"
            },
            {
                "from": "gpt",
                "value": "15."
            }
        ]
    },
    {
        "id": "flow-hard-graph983",
        "image": "data/flow/graph_visual/hard/graph983.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 2 with capacity 3,\nan edge from node 1 to node 10 with capacity 4,\nan edge from node 1 to node 16 with capacity 2,\nan edge from node 1 to node 11 with capacity 18,\nan edge from node 1 to node 8 with capacity 17,\nan edge from node 1 to node 3 with capacity 14,\nan edge from node 1 to node 4 with capacity 6,\nan edge from node 1 to node 12 with capacity 3,\nan edge from node 1 to node 13 with capacity 8,\nan edge from node 2 to node 14 with capacity 5,\nan edge from node 2 to node 0 with capacity 18,\nan edge from node 2 to node 5 with capacity 13,\nan edge from node 3 to node 10 with capacity 17,\nan edge from node 3 to node 18 with capacity 1,\nan edge from node 3 to node 8 with capacity 16,\nan edge from node 3 to node 17 with capacity 15,\nan edge from node 4 to node 10 with capacity 14,\nan edge from node 4 to node 8 with capacity 19,\nan edge from node 4 to node 17 with capacity 1,\nan edge from node 4 to node 13 with capacity 17,\nan edge from node 5 to node 10 with capacity 15,\nan edge from node 5 to node 14 with capacity 5,\nan edge from node 5 to node 0 with capacity 7,\nan edge from node 5 to node 6 with capacity 1,\nan edge from node 5 to node 15 with capacity 10,\nan edge from node 5 to node 9 with capacity 20,\nan edge from node 6 to node 0 with capacity 1,\nan edge from node 6 to node 1 with capacity 5,\nan edge from node 6 to node 3 with capacity 7,\nan edge from node 6 to node 12 with capacity 5,\nan edge from node 6 to node 9 with capacity 15,\nan edge from node 7 to node 14 with capacity 14,\nan edge from node 7 to node 2 with capacity 7,\nan edge from node 7 to node 8 with capacity 2,\nan edge from node 7 to node 9 with capacity 8,\nan edge from node 8 to node 10 with capacity 8,\nan edge from node 8 to node 1 with capacity 3,\nan edge from node 8 to node 17 with capacity 9,\nan edge from node 9 to node 14 with capacity 6,\nan edge from node 9 to node 0 with capacity 18,\nan edge from node 9 to node 18 with capacity 14,\nan edge from node 9 to node 1 with capacity 20,\nan edge from node 9 to node 5 with capacity 4,\nan edge from node 10 to node 1 with capacity 10,\nan edge from node 10 to node 4 with capacity 20,\nan edge from node 10 to node 12 with capacity 16,\nan edge from node 11 to node 2 with capacity 9,\nan edge from node 11 to node 3 with capacity 11,\nan edge from node 11 to node 5 with capacity 7,\nan edge from node 11 to node 12 with capacity 20,\nan edge from node 12 to node 16 with capacity 7,\nan edge from node 12 to node 0 with capacity 13,\nan edge from node 12 to node 2 with capacity 9,\nan edge from node 12 to node 1 with capacity 7,\nan edge from node 12 to node 17 with capacity 11,\nan edge from node 12 to node 5 with capacity 16,\nan edge from node 13 to node 16 with capacity 5,\nan edge from node 13 to node 0 with capacity 14,\nan edge from node 13 to node 6 with capacity 7,\nan edge from node 13 to node 8 with capacity 6,\nan edge from node 13 to node 3 with capacity 7,\nan edge from node 13 to node 5 with capacity 7,\nan edge from node 13 to node 15 with capacity 1,\nan edge from node 13 to node 9 with capacity 11,\nan edge from node 14 to node 11 with capacity 15,\nan edge from node 14 to node 2 with capacity 4,\nan edge from node 14 to node 1 with capacity 3,\nan edge from node 14 to node 4 with capacity 11,\nan edge from node 15 to node 7 with capacity 12,\nan edge from node 15 to node 11 with capacity 13,\nan edge from node 15 to node 2 with capacity 20,\nan edge from node 15 to node 17 with capacity 14,\nan edge from node 15 to node 4 with capacity 16,\nan edge from node 16 to node 10 with capacity 14,\nan edge from node 16 to node 14 with capacity 14,\nan edge from node 16 to node 18 with capacity 12,\nan edge from node 16 to node 8 with capacity 6,\nan edge from node 16 to node 3 with capacity 6,\nan edge from node 16 to node 4 with capacity 2,\nan edge from node 16 to node 13 with capacity 2,\nan edge from node 16 to node 9 with capacity 11,\nan edge from node 17 to node 10 with capacity 1,\nan edge from node 17 to node 3 with capacity 3,\nan edge from node 17 to node 13 with capacity 11,\nan edge from node 18 to node 11 with capacity 3,\nan edge from node 18 to node 2 with capacity 19,\nWhat is the maximum flow from node 4 to node 15:"
            },
            {
                "from": "gpt",
                "value": "11."
            }
        ]
    },
    {
        "id": "flow-hard-graph2",
        "image": "data/flow/graph_visual/hard/graph2.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 6 with capacity 14,\nan edge from node 0 to node 10 with capacity 6,\nan edge from node 0 to node 7 with capacity 1,\nan edge from node 0 to node 8 with capacity 9,\nan edge from node 1 to node 7 with capacity 17,\nan edge from node 1 to node 8 with capacity 7,\nan edge from node 3 to node 4 with capacity 15,\nan edge from node 3 to node 9 with capacity 6,\nan edge from node 3 to node 5 with capacity 14,\nan edge from node 4 to node 1 with capacity 13,\nan edge from node 4 to node 7 with capacity 7,\nan edge from node 5 to node 1 with capacity 7,\nan edge from node 5 to node 7 with capacity 4,\nan edge from node 6 to node 8 with capacity 17,\nan edge from node 7 to node 4 with capacity 1,\nan edge from node 7 to node 3 with capacity 6,\nan edge from node 8 to node 6 with capacity 5,\nan edge from node 8 to node 9 with capacity 9,\nan edge from node 8 to node 5 with capacity 3,\nan edge from node 8 to node 0 with capacity 17,\nan edge from node 8 to node 2 with capacity 2,\nan edge from node 9 to node 1 with capacity 12,\nan edge from node 9 to node 10 with capacity 12,\nan edge from node 9 to node 7 with capacity 20,\nan edge from node 10 to node 4 with capacity 17,\nan edge from node 10 to node 9 with capacity 5,\nan edge from node 10 to node 5 with capacity 13,\nan edge from node 10 to node 0 with capacity 7,\nWhat is the maximum flow from node 4 to node 3:"
            },
            {
                "from": "gpt",
                "value": "6."
            }
        ]
    },
    {
        "id": "flow-hard-graph357",
        "image": "data/flow/graph_visual/hard/graph357.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 10 with capacity 7,\nan edge from node 0 to node 12 with capacity 6,\nan edge from node 1 to node 10 with capacity 9,\nan edge from node 1 to node 5 with capacity 20,\nan edge from node 1 to node 0 with capacity 1,\nan edge from node 1 to node 7 with capacity 17,\nan edge from node 2 to node 10 with capacity 4,\nan edge from node 2 to node 5 with capacity 17,\nan edge from node 2 to node 1 with capacity 15,\nan edge from node 3 to node 12 with capacity 13,\nan edge from node 3 to node 11 with capacity 14,\nan edge from node 4 to node 3 with capacity 14,\nan edge from node 4 to node 8 with capacity 16,\nan edge from node 4 to node 12 with capacity 5,\nan edge from node 4 to node 0 with capacity 16,\nan edge from node 5 to node 8 with capacity 2,\nan edge from node 6 to node 10 with capacity 10,\nan edge from node 6 to node 0 with capacity 18,\nan edge from node 6 to node 7 with capacity 3,\nan edge from node 7 to node 3 with capacity 11,\nan edge from node 7 to node 9 with capacity 14,\nan edge from node 8 to node 10 with capacity 6,\nan edge from node 9 to node 12 with capacity 16,\nan edge from node 9 to node 0 with capacity 15,\nan edge from node 9 to node 7 with capacity 18,\nan edge from node 10 to node 3 with capacity 8,\nan edge from node 10 to node 5 with capacity 15,\nan edge from node 10 to node 0 with capacity 16,\nan edge from node 11 to node 3 with capacity 11,\nan edge from node 11 to node 9 with capacity 13,\nan edge from node 12 to node 5 with capacity 2,\nWhat is the maximum flow from node 2 to node 9:"
            },
            {
                "from": "gpt",
                "value": "21."
            }
        ]
    },
    {
        "id": "flow-hard-graph305",
        "image": "data/flow/graph_visual/hard/graph305.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 7 with capacity 3,\nan edge from node 0 to node 3 with capacity 14,\nan edge from node 0 to node 11 with capacity 11,\nan edge from node 0 to node 5 with capacity 20,\nan edge from node 1 to node 0 with capacity 19,\nan edge from node 1 to node 3 with capacity 11,\nan edge from node 1 to node 10 with capacity 20,\nan edge from node 1 to node 9 with capacity 18,\nan edge from node 2 to node 6 with capacity 6,\nan edge from node 2 to node 11 with capacity 18,\nan edge from node 3 to node 9 with capacity 16,\nan edge from node 3 to node 8 with capacity 12,\nan edge from node 4 to node 8 with capacity 17,\nan edge from node 5 to node 0 with capacity 5,\nan edge from node 5 to node 2 with capacity 12,\nan edge from node 5 to node 3 with capacity 7,\nan edge from node 5 to node 9 with capacity 9,\nan edge from node 5 to node 8 with capacity 20,\nan edge from node 6 to node 7 with capacity 5,\nan edge from node 6 to node 4 with capacity 7,\nan edge from node 6 to node 9 with capacity 16,\nan edge from node 7 to node 6 with capacity 4,\nan edge from node 7 to node 2 with capacity 16,\nan edge from node 7 to node 3 with capacity 16,\nan edge from node 8 to node 4 with capacity 1,\nan edge from node 8 to node 1 with capacity 11,\nan edge from node 8 to node 5 with capacity 3,\nan edge from node 9 to node 7 with capacity 17,\nan edge from node 9 to node 2 with capacity 8,\nan edge from node 9 to node 11 with capacity 8,\nan edge from node 10 to node 6 with capacity 17,\nan edge from node 10 to node 2 with capacity 10,\nan edge from node 10 to node 8 with capacity 15,\nan edge from node 10 to node 11 with capacity 13,\nan edge from node 11 to node 7 with capacity 9,\nan edge from node 11 to node 10 with capacity 10,\nan edge from node 11 to node 8 with capacity 7,\nan edge from node 11 to node 5 with capacity 7,\nan edge from node 12 to node 4 with capacity 15,\nan edge from node 12 to node 1 with capacity 8,\nan edge from node 12 to node 11 with capacity 18,\nWhat is the maximum flow from node 10 to node 5:"
            },
            {
                "from": "gpt",
                "value": "21."
            }
        ]
    },
    {
        "id": "flow-hard-graph276",
        "image": "data/flow/graph_visual/hard/graph276.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 7 with capacity 12,\nan edge from node 0 to node 12 with capacity 16,\nan edge from node 0 to node 1 with capacity 4,\nan edge from node 2 to node 10 with capacity 11,\nan edge from node 2 to node 4 with capacity 3,\nan edge from node 3 to node 7 with capacity 16,\nan edge from node 3 to node 6 with capacity 3,\nan edge from node 3 to node 5 with capacity 7,\nan edge from node 3 to node 4 with capacity 3,\nan edge from node 4 to node 7 with capacity 7,\nan edge from node 4 to node 2 with capacity 11,\nan edge from node 4 to node 5 with capacity 16,\nan edge from node 4 to node 12 with capacity 2,\nan edge from node 4 to node 9 with capacity 14,\nan edge from node 4 to node 1 with capacity 1,\nan edge from node 5 to node 0 with capacity 13,\nan edge from node 5 to node 6 with capacity 13,\nan edge from node 5 to node 9 with capacity 20,\nan edge from node 6 to node 7 with capacity 20,\nan edge from node 6 to node 4 with capacity 2,\nan edge from node 7 to node 9 with capacity 15,\nan edge from node 8 to node 0 with capacity 15,\nan edge from node 8 to node 12 with capacity 13,\nan edge from node 8 to node 4 with capacity 15,\nan edge from node 9 to node 7 with capacity 9,\nan edge from node 9 to node 0 with capacity 10,\nan edge from node 9 to node 5 with capacity 19,\nan edge from node 9 to node 10 with capacity 14,\nan edge from node 10 to node 7 with capacity 12,\nan edge from node 10 to node 2 with capacity 18,\nan edge from node 10 to node 4 with capacity 2,\nan edge from node 11 to node 1 with capacity 1,\nan edge from node 12 to node 2 with capacity 4,\nan edge from node 12 to node 9 with capacity 8,\nan edge from node 12 to node 1 with capacity 9,\nWhat is the maximum flow from node 2 to node 5:"
            },
            {
                "from": "gpt",
                "value": "14."
            }
        ]
    },
    {
        "id": "flow-hard-graph801",
        "image": "data/flow/graph_visual/hard/graph801.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 8 with capacity 4,\nan edge from node 0 to node 15 with capacity 5,\nan edge from node 0 to node 12 with capacity 3,\nan edge from node 0 to node 5 with capacity 9,\nan edge from node 0 to node 16 with capacity 16,\nan edge from node 0 to node 10 with capacity 13,\nan edge from node 0 to node 4 with capacity 6,\nan edge from node 1 to node 5 with capacity 4,\nan edge from node 2 to node 7 with capacity 1,\nan edge from node 2 to node 9 with capacity 20,\nan edge from node 2 to node 3 with capacity 9,\nan edge from node 2 to node 1 with capacity 5,\nan edge from node 3 to node 6 with capacity 13,\nan edge from node 3 to node 5 with capacity 16,\nan edge from node 3 to node 14 with capacity 15,\nan edge from node 3 to node 11 with capacity 3,\nan edge from node 3 to node 2 with capacity 14,\nan edge from node 3 to node 4 with capacity 10,\nan edge from node 4 to node 6 with capacity 12,\nan edge from node 4 to node 12 with capacity 14,\nan edge from node 4 to node 9 with capacity 10,\nan edge from node 4 to node 11 with capacity 8,\nan edge from node 4 to node 3 with capacity 9,\nan edge from node 4 to node 10 with capacity 19,\nan edge from node 5 to node 13 with capacity 9,\nan edge from node 5 to node 8 with capacity 9,\nan edge from node 5 to node 7 with capacity 5,\nan edge from node 5 to node 9 with capacity 20,\nan edge from node 5 to node 14 with capacity 20,\nan edge from node 5 to node 2 with capacity 17,\nan edge from node 5 to node 4 with capacity 12,\nan edge from node 6 to node 15 with capacity 7,\nan edge from node 6 to node 12 with capacity 20,\nan edge from node 6 to node 5 with capacity 8,\nan edge from node 7 to node 0 with capacity 17,\nan edge from node 7 to node 8 with capacity 19,\nan edge from node 7 to node 6 with capacity 12,\nan edge from node 7 to node 9 with capacity 15,\nan edge from node 7 to node 5 with capacity 5,\nan edge from node 7 to node 3 with capacity 2,\nan edge from node 7 to node 16 with capacity 16,\nan edge from node 8 to node 9 with capacity 9,\nan edge from node 8 to node 14 with capacity 15,\nan edge from node 8 to node 2 with capacity 10,\nan edge from node 9 to node 11 with capacity 4,\nan edge from node 9 to node 2 with capacity 14,\nan edge from node 9 to node 4 with capacity 16,\nan edge from node 10 to node 0 with capacity 9,\nan edge from node 10 to node 13 with capacity 7,\nan edge from node 10 to node 1 with capacity 6,\nan edge from node 11 to node 0 with capacity 15,\nan edge from node 11 to node 9 with capacity 20,\nan edge from node 11 to node 3 with capacity 1,\nan edge from node 11 to node 16 with capacity 11,\nan edge from node 11 to node 1 with capacity 3,\nan edge from node 12 to node 13 with capacity 19,\nan edge from node 12 to node 9 with capacity 9,\nan edge from node 13 to node 7 with capacity 12,\nan edge from node 13 to node 15 with capacity 19,\nan edge from node 13 to node 1 with capacity 4,\nan edge from node 13 to node 2 with capacity 11,\nan edge from node 14 to node 8 with capacity 1,\nan edge from node 14 to node 15 with capacity 3,\nan edge from node 14 to node 9 with capacity 20,\nan edge from node 14 to node 1 with capacity 6,\nan edge from node 14 to node 4 with capacity 15,\nan edge from node 15 to node 16 with capacity 4,\nan edge from node 15 to node 10 with capacity 2,\nan edge from node 16 to node 8 with capacity 16,\nan edge from node 16 to node 6 with capacity 7,\nan edge from node 16 to node 7 with capacity 16,\nan edge from node 16 to node 5 with capacity 1,\nan edge from node 16 to node 3 with capacity 9,\nan edge from node 16 to node 1 with capacity 6,\nan edge from node 16 to node 4 with capacity 16,\nWhat is the maximum flow from node 14 to node 8:"
            },
            {
                "from": "gpt",
                "value": "43."
            }
        ]
    },
    {
        "id": "flow-hard-graph270",
        "image": "data/flow/graph_visual/hard/graph270.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 1 with capacity 2,\nan edge from node 0 to node 12 with capacity 2,\nan edge from node 1 to node 7 with capacity 5,\nan edge from node 1 to node 3 with capacity 5,\nan edge from node 1 to node 12 with capacity 7,\nan edge from node 2 to node 8 with capacity 10,\nan edge from node 2 to node 6 with capacity 2,\nan edge from node 2 to node 7 with capacity 10,\nan edge from node 2 to node 0 with capacity 8,\nan edge from node 3 to node 6 with capacity 8,\nan edge from node 3 to node 0 with capacity 19,\nan edge from node 4 to node 1 with capacity 3,\nan edge from node 4 to node 0 with capacity 16,\nan edge from node 5 to node 1 with capacity 8,\nan edge from node 5 to node 3 with capacity 2,\nan edge from node 5 to node 12 with capacity 7,\nan edge from node 5 to node 11 with capacity 20,\nan edge from node 6 to node 1 with capacity 16,\nan edge from node 6 to node 7 with capacity 14,\nan edge from node 6 to node 0 with capacity 20,\nan edge from node 6 to node 12 with capacity 4,\nan edge from node 6 to node 11 with capacity 19,\nan edge from node 7 to node 8 with capacity 12,\nan edge from node 7 to node 6 with capacity 6,\nan edge from node 7 to node 5 with capacity 20,\nan edge from node 7 to node 11 with capacity 1,\nan edge from node 8 to node 2 with capacity 17,\nan edge from node 8 to node 7 with capacity 6,\nan edge from node 8 to node 12 with capacity 13,\nan edge from node 9 to node 6 with capacity 19,\nan edge from node 9 to node 11 with capacity 17,\nan edge from node 10 to node 6 with capacity 20,\nan edge from node 10 to node 5 with capacity 20,\nan edge from node 10 to node 12 with capacity 8,\nan edge from node 10 to node 11 with capacity 7,\nan edge from node 11 to node 1 with capacity 1,\nan edge from node 12 to node 7 with capacity 16,\nan edge from node 12 to node 3 with capacity 17,\nan edge from node 12 to node 0 with capacity 5,\nWhat is the maximum flow from node 7 to node 6:"
            },
            {
                "from": "gpt",
                "value": "16."
            }
        ]
    },
    {
        "id": "flow-hard-graph512",
        "image": "data/flow/graph_visual/hard/graph512.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 1 with capacity 16,\nan edge from node 0 to node 6 with capacity 12,\nan edge from node 0 to node 14 with capacity 19,\nan edge from node 0 to node 7 with capacity 15,\nan edge from node 1 to node 2 with capacity 20,\nan edge from node 1 to node 13 with capacity 6,\nan edge from node 2 to node 10 with capacity 7,\nan edge from node 2 to node 0 with capacity 20,\nan edge from node 2 to node 12 with capacity 9,\nan edge from node 2 to node 5 with capacity 11,\nan edge from node 2 to node 3 with capacity 10,\nan edge from node 3 to node 9 with capacity 12,\nan edge from node 3 to node 2 with capacity 1,\nan edge from node 3 to node 12 with capacity 2,\nan edge from node 4 to node 9 with capacity 9,\nan edge from node 4 to node 2 with capacity 4,\nan edge from node 6 to node 14 with capacity 8,\nan edge from node 6 to node 0 with capacity 10,\nan edge from node 7 to node 6 with capacity 17,\nan edge from node 7 to node 0 with capacity 3,\nan edge from node 7 to node 12 with capacity 10,\nan edge from node 7 to node 3 with capacity 11,\nan edge from node 8 to node 11 with capacity 1,\nan edge from node 8 to node 1 with capacity 16,\nan edge from node 8 to node 9 with capacity 3,\nan edge from node 8 to node 14 with capacity 2,\nan edge from node 8 to node 3 with capacity 5,\nan edge from node 9 to node 7 with capacity 3,\nan edge from node 9 to node 3 with capacity 19,\nan edge from node 10 to node 14 with capacity 16,\nan edge from node 11 to node 0 with capacity 8,\nan edge from node 11 to node 3 with capacity 13,\nan edge from node 12 to node 1 with capacity 14,\nan edge from node 12 to node 6 with capacity 5,\nan edge from node 12 to node 2 with capacity 17,\nan edge from node 13 to node 11 with capacity 18,\nan edge from node 13 to node 6 with capacity 17,\nan edge from node 13 to node 9 with capacity 7,\nan edge from node 13 to node 2 with capacity 18,\nan edge from node 13 to node 12 with capacity 17,\nan edge from node 14 to node 6 with capacity 2,\nan edge from node 14 to node 0 with capacity 14,\nan edge from node 14 to node 13 with capacity 1,\nan edge from node 14 to node 7 with capacity 16,\nan edge from node 14 to node 3 with capacity 20,\nWhat is the maximum flow from node 6 to node 5:"
            },
            {
                "from": "gpt",
                "value": "11."
            }
        ]
    },
    {
        "id": "flow-hard-graph213",
        "image": "data/flow/graph_visual/hard/graph213.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 7 with capacity 7,\nan edge from node 0 to node 11 with capacity 18,\nan edge from node 0 to node 9 with capacity 6,\nan edge from node 1 to node 11 with capacity 8,\nan edge from node 1 to node 8 with capacity 18,\nan edge from node 1 to node 3 with capacity 14,\nan edge from node 2 to node 4 with capacity 15,\nan edge from node 3 to node 2 with capacity 14,\nan edge from node 3 to node 6 with capacity 9,\nan edge from node 4 to node 9 with capacity 4,\nan edge from node 4 to node 2 with capacity 18,\nan edge from node 4 to node 5 with capacity 18,\nan edge from node 4 to node 8 with capacity 1,\nan edge from node 4 to node 1 with capacity 16,\nan edge from node 4 to node 6 with capacity 1,\nan edge from node 5 to node 7 with capacity 10,\nan edge from node 5 to node 10 with capacity 1,\nan edge from node 5 to node 9 with capacity 5,\nan edge from node 5 to node 0 with capacity 20,\nan edge from node 5 to node 2 with capacity 17,\nan edge from node 5 to node 6 with capacity 6,\nan edge from node 6 to node 7 with capacity 11,\nan edge from node 6 to node 10 with capacity 7,\nan edge from node 7 to node 2 with capacity 6,\nan edge from node 7 to node 8 with capacity 7,\nan edge from node 7 to node 3 with capacity 8,\nan edge from node 9 to node 0 with capacity 13,\nan edge from node 9 to node 1 with capacity 3,\nan edge from node 10 to node 0 with capacity 16,\nan edge from node 10 to node 2 with capacity 20,\nan edge from node 10 to node 1 with capacity 3,\nan edge from node 10 to node 3 with capacity 11,\nan edge from node 11 to node 10 with capacity 8,\nan edge from node 11 to node 3 with capacity 14,\nWhat is the maximum flow from node 5 to node 11:"
            },
            {
                "from": "gpt",
                "value": "26."
            }
        ]
    },
    {
        "id": "flow-hard-graph1096",
        "image": "data/flow/graph_visual/hard/graph1096.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 18 with capacity 6,\nan edge from node 0 to node 5 with capacity 18,\nan edge from node 0 to node 7 with capacity 11,\nan edge from node 1 to node 3 with capacity 1,\nan edge from node 1 to node 4 with capacity 13,\nan edge from node 1 to node 0 with capacity 1,\nan edge from node 1 to node 10 with capacity 10,\nan edge from node 1 to node 15 with capacity 19,\nan edge from node 2 to node 4 with capacity 14,\nan edge from node 2 to node 6 with capacity 20,\nan edge from node 2 to node 1 with capacity 9,\nan edge from node 2 to node 13 with capacity 9,\nan edge from node 2 to node 16 with capacity 7,\nan edge from node 2 to node 18 with capacity 20,\nan edge from node 2 to node 17 with capacity 17,\nan edge from node 2 to node 5 with capacity 7,\nan edge from node 3 to node 9 with capacity 12,\nan edge from node 3 to node 0 with capacity 7,\nan edge from node 3 to node 1 with capacity 17,\nan edge from node 3 to node 14 with capacity 10,\nan edge from node 3 to node 15 with capacity 2,\nan edge from node 3 to node 17 with capacity 4,\nan edge from node 3 to node 7 with capacity 16,\nan edge from node 3 to node 12 with capacity 9,\nan edge from node 4 to node 1 with capacity 11,\nan edge from node 4 to node 8 with capacity 19,\nan edge from node 5 to node 10 with capacity 7,\nan edge from node 6 to node 3 with capacity 2,\nan edge from node 6 to node 4 with capacity 9,\nan edge from node 6 to node 13 with capacity 18,\nan edge from node 6 to node 10 with capacity 19,\nan edge from node 6 to node 19 with capacity 2,\nan edge from node 6 to node 5 with capacity 9,\nan edge from node 6 to node 12 with capacity 12,\nan edge from node 7 to node 3 with capacity 20,\nan edge from node 7 to node 6 with capacity 1,\nan edge from node 7 to node 10 with capacity 5,\nan edge from node 7 to node 15 with capacity 3,\nan edge from node 7 to node 17 with capacity 2,\nan edge from node 7 to node 12 with capacity 5,\nan edge from node 8 to node 9 with capacity 20,\nan edge from node 8 to node 4 with capacity 13,\nan edge from node 8 to node 16 with capacity 16,\nan edge from node 8 to node 5 with capacity 1,\nan edge from node 8 to node 7 with capacity 16,\nan edge from node 8 to node 12 with capacity 16,\nan edge from node 9 to node 4 with capacity 12,\nan edge from node 9 to node 6 with capacity 3,\nan edge from node 9 to node 0 with capacity 10,\nan edge from node 9 to node 10 with capacity 5,\nan edge from node 9 to node 19 with capacity 16,\nan edge from node 9 to node 12 with capacity 10,\nan edge from node 10 to node 9 with capacity 8,\nan edge from node 10 to node 2 with capacity 18,\nan edge from node 10 to node 0 with capacity 6,\nan edge from node 10 to node 14 with capacity 9,\nan edge from node 10 to node 19 with capacity 2,\nan edge from node 10 to node 5 with capacity 10,\nan edge from node 10 to node 7 with capacity 8,\nan edge from node 11 to node 9 with capacity 8,\nan edge from node 11 to node 0 with capacity 7,\nan edge from node 11 to node 16 with capacity 7,\nan edge from node 11 to node 19 with capacity 2,\nan edge from node 11 to node 12 with capacity 17,\nan edge from node 12 to node 3 with capacity 19,\nan edge from node 12 to node 4 with capacity 15,\nan edge from node 12 to node 11 with capacity 18,\nan edge from node 12 to node 17 with capacity 6,\nan edge from node 12 to node 5 with capacity 1,\nan edge from node 12 to node 7 with capacity 15,\nan edge from node 13 to node 6 with capacity 17,\nan edge from node 13 to node 0 with capacity 16,\nan edge from node 13 to node 16 with capacity 7,\nan edge from node 13 to node 7 with capacity 13,\nan edge from node 14 to node 9 with capacity 7,\nan edge from node 14 to node 4 with capacity 15,\nan edge from node 14 to node 16 with capacity 8,\nan edge from node 14 to node 11 with capacity 1,\nan edge from node 14 to node 15 with capacity 8,\nan edge from node 14 to node 7 with capacity 6,\nan edge from node 15 to node 3 with capacity 9,\nan edge from node 15 to node 2 with capacity 10,\nan edge from node 15 to node 1 with capacity 12,\nan edge from node 15 to node 16 with capacity 19,\nan edge from node 15 to node 10 with capacity 10,\nan edge from node 16 to node 3 with capacity 14,\nan edge from node 16 to node 0 with capacity 12,\nan edge from node 16 to node 14 with capacity 19,\nan edge from node 16 to node 17 with capacity 9,\nan edge from node 16 to node 19 with capacity 3,\nan edge from node 17 to node 3 with capacity 13,\nan edge from node 17 to node 4 with capacity 18,\nan edge from node 17 to node 1 with capacity 15,\nan edge from node 17 to node 16 with capacity 14,\nan edge from node 17 to node 19 with capacity 8,\nan edge from node 17 to node 8 with capacity 12,\nan edge from node 18 to node 6 with capacity 2,\nan edge from node 18 to node 0 with capacity 7,\nan edge from node 18 to node 13 with capacity 5,\nan edge from node 18 to node 10 with capacity 3,\nan edge from node 18 to node 11 with capacity 17,\nan edge from node 18 to node 14 with capacity 20,\nan edge from node 18 to node 15 with capacity 17,\nan edge from node 18 to node 5 with capacity 8,\nan edge from node 19 to node 6 with capacity 8,\nan edge from node 19 to node 1 with capacity 8,\nan edge from node 19 to node 16 with capacity 19,\nan edge from node 19 to node 18 with capacity 11,\nan edge from node 19 to node 12 with capacity 17,\nWhat is the maximum flow from node 16 to node 10:"
            },
            {
                "from": "gpt",
                "value": "57."
            }
        ]
    },
    {
        "id": "flow-hard-graph554",
        "image": "data/flow/graph_visual/hard/graph554.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 8 with capacity 8,\nan edge from node 0 to node 1 with capacity 8,\nan edge from node 0 to node 6 with capacity 4,\nan edge from node 1 to node 5 with capacity 7,\nan edge from node 1 to node 4 with capacity 3,\nan edge from node 1 to node 13 with capacity 15,\nan edge from node 1 to node 2 with capacity 14,\nan edge from node 1 to node 9 with capacity 2,\nan edge from node 2 to node 7 with capacity 10,\nan edge from node 2 to node 3 with capacity 17,\nan edge from node 2 to node 10 with capacity 5,\nan edge from node 2 to node 1 with capacity 13,\nan edge from node 3 to node 4 with capacity 14,\nan edge from node 3 to node 0 with capacity 2,\nan edge from node 4 to node 5 with capacity 12,\nan edge from node 4 to node 7 with capacity 9,\nan edge from node 4 to node 1 with capacity 20,\nan edge from node 4 to node 14 with capacity 17,\nan edge from node 4 to node 11 with capacity 5,\nan edge from node 4 to node 12 with capacity 12,\nan edge from node 4 to node 9 with capacity 17,\nan edge from node 5 to node 7 with capacity 16,\nan edge from node 5 to node 1 with capacity 15,\nan edge from node 5 to node 14 with capacity 2,\nan edge from node 5 to node 4 with capacity 11,\nan edge from node 5 to node 6 with capacity 14,\nan edge from node 5 to node 2 with capacity 1,\nan edge from node 6 to node 3 with capacity 6,\nan edge from node 6 to node 11 with capacity 14,\nan edge from node 7 to node 8 with capacity 13,\nan edge from node 7 to node 11 with capacity 4,\nan edge from node 7 to node 6 with capacity 12,\nan edge from node 7 to node 9 with capacity 10,\nan edge from node 8 to node 5 with capacity 6,\nan edge from node 8 to node 7 with capacity 11,\nan edge from node 8 to node 3 with capacity 9,\nan edge from node 8 to node 10 with capacity 3,\nan edge from node 8 to node 4 with capacity 20,\nan edge from node 8 to node 12 with capacity 13,\nan edge from node 9 to node 8 with capacity 6,\nan edge from node 9 to node 13 with capacity 7,\nan edge from node 9 to node 2 with capacity 20,\nan edge from node 10 to node 3 with capacity 14,\nan edge from node 10 to node 14 with capacity 15,\nan edge from node 10 to node 13 with capacity 7,\nan edge from node 10 to node 9 with capacity 12,\nan edge from node 11 to node 7 with capacity 10,\nan edge from node 11 to node 3 with capacity 3,\nan edge from node 11 to node 1 with capacity 6,\nan edge from node 11 to node 13 with capacity 1,\nan edge from node 12 to node 8 with capacity 8,\nan edge from node 12 to node 10 with capacity 18,\nan edge from node 12 to node 14 with capacity 5,\nan edge from node 12 to node 11 with capacity 20,\nan edge from node 12 to node 9 with capacity 5,\nan edge from node 13 to node 7 with capacity 14,\nan edge from node 13 to node 3 with capacity 9,\nan edge from node 13 to node 1 with capacity 4,\nan edge from node 13 to node 0 with capacity 19,\nan edge from node 13 to node 9 with capacity 10,\nan edge from node 14 to node 6 with capacity 13,\nWhat is the maximum flow from node 0 to node 4:"
            },
            {
                "from": "gpt",
                "value": "20."
            }
        ]
    },
    {
        "id": "flow-hard-graph577",
        "image": "data/flow/graph_visual/hard/graph577.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 14 with capacity 15,\nan edge from node 0 to node 8 with capacity 10,\nan edge from node 0 to node 2 with capacity 6,\nan edge from node 0 to node 11 with capacity 10,\nan edge from node 0 to node 13 with capacity 14,\nan edge from node 1 to node 10 with capacity 8,\nan edge from node 1 to node 14 with capacity 19,\nan edge from node 1 to node 6 with capacity 20,\nan edge from node 1 to node 5 with capacity 6,\nan edge from node 1 to node 2 with capacity 11,\nan edge from node 1 to node 9 with capacity 16,\nan edge from node 1 to node 4 with capacity 8,\nan edge from node 2 to node 14 with capacity 14,\nan edge from node 2 to node 5 with capacity 3,\nan edge from node 2 to node 1 with capacity 16,\nan edge from node 2 to node 11 with capacity 2,\nan edge from node 3 to node 8 with capacity 6,\nan edge from node 3 to node 9 with capacity 10,\nan edge from node 3 to node 0 with capacity 20,\nan edge from node 4 to node 10 with capacity 10,\nan edge from node 4 to node 1 with capacity 20,\nan edge from node 4 to node 2 with capacity 10,\nan edge from node 4 to node 9 with capacity 12,\nan edge from node 4 to node 0 with capacity 20,\nan edge from node 5 to node 6 with capacity 18,\nan edge from node 5 to node 7 with capacity 11,\nan edge from node 5 to node 8 with capacity 1,\nan edge from node 5 to node 1 with capacity 3,\nan edge from node 5 to node 13 with capacity 18,\nan edge from node 6 to node 8 with capacity 3,\nan edge from node 6 to node 0 with capacity 3,\nan edge from node 6 to node 11 with capacity 18,\nan edge from node 7 to node 3 with capacity 10,\nan edge from node 7 to node 0 with capacity 15,\nan edge from node 7 to node 13 with capacity 12,\nan edge from node 9 to node 14 with capacity 5,\nan edge from node 9 to node 5 with capacity 11,\nan edge from node 9 to node 8 with capacity 12,\nan edge from node 9 to node 4 with capacity 11,\nan edge from node 9 to node 13 with capacity 4,\nan edge from node 10 to node 6 with capacity 1,\nan edge from node 10 to node 5 with capacity 12,\nan edge from node 10 to node 1 with capacity 3,\nan edge from node 11 to node 10 with capacity 20,\nan edge from node 11 to node 0 with capacity 6,\nan edge from node 11 to node 13 with capacity 8,\nan edge from node 12 to node 7 with capacity 1,\nan edge from node 12 to node 8 with capacity 6,\nan edge from node 12 to node 3 with capacity 7,\nan edge from node 12 to node 13 with capacity 4,\nan edge from node 13 to node 10 with capacity 15,\nan edge from node 13 to node 14 with capacity 8,\nan edge from node 13 to node 4 with capacity 19,\nan edge from node 13 to node 11 with capacity 3,\nan edge from node 14 to node 7 with capacity 7,\nan edge from node 14 to node 8 with capacity 18,\nan edge from node 14 to node 4 with capacity 18,\nWhat is the maximum flow from node 14 to node 9:"
            },
            {
                "from": "gpt",
                "value": "25."
            }
        ]
    },
    {
        "id": "flow-hard-graph679",
        "image": "data/flow/graph_visual/hard/graph679.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 8 with capacity 11,\nan edge from node 1 to node 15 with capacity 4,\nan edge from node 1 to node 5 with capacity 7,\nan edge from node 1 to node 6 with capacity 19,\nan edge from node 1 to node 3 with capacity 1,\nan edge from node 1 to node 8 with capacity 4,\nan edge from node 1 to node 4 with capacity 2,\nan edge from node 1 to node 11 with capacity 6,\nan edge from node 2 to node 8 with capacity 3,\nan edge from node 2 to node 4 with capacity 13,\nan edge from node 2 to node 13 with capacity 3,\nan edge from node 3 to node 9 with capacity 18,\nan edge from node 3 to node 14 with capacity 16,\nan edge from node 3 to node 4 with capacity 16,\nan edge from node 3 to node 0 with capacity 5,\nan edge from node 4 to node 5 with capacity 9,\nan edge from node 4 to node 7 with capacity 14,\nan edge from node 4 to node 3 with capacity 2,\nan edge from node 4 to node 0 with capacity 15,\nan edge from node 4 to node 11 with capacity 6,\nan edge from node 5 to node 9 with capacity 15,\nan edge from node 5 to node 11 with capacity 19,\nan edge from node 6 to node 12 with capacity 11,\nan edge from node 6 to node 10 with capacity 19,\nan edge from node 6 to node 8 with capacity 17,\nan edge from node 6 to node 4 with capacity 18,\nan edge from node 6 to node 0 with capacity 7,\nan edge from node 7 to node 15 with capacity 15,\nan edge from node 7 to node 2 with capacity 6,\nan edge from node 7 to node 4 with capacity 18,\nan edge from node 7 to node 0 with capacity 11,\nan edge from node 7 to node 13 with capacity 3,\nan edge from node 7 to node 11 with capacity 6,\nan edge from node 8 to node 5 with capacity 6,\nan edge from node 8 to node 11 with capacity 16,\nan edge from node 9 to node 7 with capacity 20,\nan edge from node 9 to node 10 with capacity 3,\nan edge from node 9 to node 8 with capacity 3,\nan edge from node 9 to node 4 with capacity 9,\nan edge from node 10 to node 15 with capacity 1,\nan edge from node 10 to node 5 with capacity 18,\nan edge from node 10 to node 7 with capacity 7,\nan edge from node 10 to node 3 with capacity 14,\nan edge from node 10 to node 2 with capacity 17,\nan edge from node 10 to node 14 with capacity 1,\nan edge from node 11 to node 9 with capacity 1,\nan edge from node 11 to node 6 with capacity 7,\nan edge from node 11 to node 10 with capacity 15,\nan edge from node 11 to node 0 with capacity 15,\nan edge from node 12 to node 15 with capacity 4,\nan edge from node 12 to node 5 with capacity 1,\nan edge from node 12 to node 9 with capacity 17,\nan edge from node 12 to node 8 with capacity 3,\nan edge from node 12 to node 14 with capacity 2,\nan edge from node 12 to node 13 with capacity 5,\nan edge from node 12 to node 1 with capacity 14,\nan edge from node 13 to node 6 with capacity 11,\nan edge from node 13 to node 8 with capacity 15,\nan edge from node 13 to node 14 with capacity 1,\nan edge from node 14 to node 15 with capacity 16,\nan edge from node 14 to node 5 with capacity 18,\nan edge from node 14 to node 12 with capacity 7,\nan edge from node 14 to node 6 with capacity 13,\nan edge from node 15 to node 9 with capacity 13,\nan edge from node 15 to node 7 with capacity 8,\nWhat is the maximum flow from node 12 to node 0:"
            },
            {
                "from": "gpt",
                "value": "46."
            }
        ]
    },
    {
        "id": "flow-hard-graph323",
        "image": "data/flow/graph_visual/hard/graph323.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 7 with capacity 12,\nan edge from node 0 to node 10 with capacity 9,\nan edge from node 1 to node 3 with capacity 17,\nan edge from node 1 to node 9 with capacity 7,\nan edge from node 1 to node 12 with capacity 11,\nan edge from node 2 to node 9 with capacity 4,\nan edge from node 3 to node 9 with capacity 9,\nan edge from node 3 to node 11 with capacity 16,\nan edge from node 3 to node 1 with capacity 15,\nan edge from node 3 to node 7 with capacity 9,\nan edge from node 3 to node 0 with capacity 20,\nan edge from node 3 to node 6 with capacity 2,\nan edge from node 3 to node 4 with capacity 9,\nan edge from node 4 to node 1 with capacity 10,\nan edge from node 4 to node 0 with capacity 10,\nan edge from node 4 to node 6 with capacity 2,\nan edge from node 5 to node 11 with capacity 13,\nan edge from node 5 to node 12 with capacity 1,\nan edge from node 6 to node 3 with capacity 1,\nan edge from node 6 to node 11 with capacity 16,\nan edge from node 6 to node 1 with capacity 10,\nan edge from node 6 to node 7 with capacity 5,\nan edge from node 6 to node 12 with capacity 18,\nan edge from node 7 to node 3 with capacity 15,\nan edge from node 7 to node 11 with capacity 4,\nan edge from node 7 to node 8 with capacity 17,\nan edge from node 7 to node 12 with capacity 2,\nan edge from node 8 to node 11 with capacity 6,\nan edge from node 8 to node 10 with capacity 8,\nan edge from node 9 to node 5 with capacity 16,\nan edge from node 9 to node 11 with capacity 6,\nan edge from node 9 to node 7 with capacity 19,\nan edge from node 9 to node 0 with capacity 5,\nan edge from node 9 to node 6 with capacity 11,\nan edge from node 10 to node 5 with capacity 20,\nan edge from node 10 to node 9 with capacity 4,\nan edge from node 10 to node 11 with capacity 2,\nan edge from node 10 to node 7 with capacity 15,\nan edge from node 10 to node 12 with capacity 5,\nan edge from node 10 to node 0 with capacity 12,\nan edge from node 11 to node 1 with capacity 2,\nan edge from node 11 to node 7 with capacity 2,\nan edge from node 12 to node 5 with capacity 17,\nan edge from node 12 to node 4 with capacity 8,\nWhat is the maximum flow from node 1 to node 10:"
            },
            {
                "from": "gpt",
                "value": "17."
            }
        ]
    },
    {
        "id": "flow-hard-graph871",
        "image": "data/flow/graph_visual/hard/graph871.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 3 with capacity 6,\nan edge from node 0 to node 5 with capacity 13,\nan edge from node 0 to node 6 with capacity 18,\nan edge from node 0 to node 2 with capacity 7,\nan edge from node 0 to node 14 with capacity 10,\nan edge from node 0 to node 7 with capacity 9,\nan edge from node 0 to node 8 with capacity 13,\nan edge from node 1 to node 3 with capacity 16,\nan edge from node 1 to node 10 with capacity 18,\nan edge from node 1 to node 12 with capacity 12,\nan edge from node 1 to node 11 with capacity 7,\nan edge from node 2 to node 6 with capacity 18,\nan edge from node 2 to node 13 with capacity 9,\nan edge from node 2 to node 17 with capacity 11,\nan edge from node 2 to node 8 with capacity 10,\nan edge from node 2 to node 4 with capacity 20,\nan edge from node 3 to node 7 with capacity 14,\nan edge from node 3 to node 17 with capacity 9,\nan edge from node 3 to node 4 with capacity 19,\nan edge from node 3 to node 11 with capacity 6,\nan edge from node 4 to node 10 with capacity 13,\nan edge from node 4 to node 6 with capacity 3,\nan edge from node 4 to node 12 with capacity 7,\nan edge from node 4 to node 9 with capacity 13,\nan edge from node 5 to node 15 with capacity 9,\nan edge from node 5 to node 0 with capacity 13,\nan edge from node 5 to node 13 with capacity 20,\nan edge from node 5 to node 12 with capacity 8,\nan edge from node 5 to node 7 with capacity 7,\nan edge from node 5 to node 16 with capacity 5,\nan edge from node 6 to node 10 with capacity 14,\nan edge from node 6 to node 13 with capacity 7,\nan edge from node 6 to node 9 with capacity 5,\nan edge from node 6 to node 7 with capacity 11,\nan edge from node 7 to node 3 with capacity 17,\nan edge from node 7 to node 5 with capacity 11,\nan edge from node 7 to node 6 with capacity 3,\nan edge from node 7 to node 0 with capacity 9,\nan edge from node 7 to node 13 with capacity 9,\nan edge from node 8 to node 1 with capacity 16,\nan edge from node 8 to node 12 with capacity 5,\nan edge from node 8 to node 9 with capacity 4,\nan edge from node 8 to node 11 with capacity 6,\nan edge from node 9 to node 10 with capacity 2,\nan edge from node 9 to node 0 with capacity 17,\nan edge from node 9 to node 2 with capacity 20,\nan edge from node 9 to node 14 with capacity 2,\nan edge from node 9 to node 16 with capacity 14,\nan edge from node 9 to node 11 with capacity 4,\nan edge from node 10 to node 6 with capacity 10,\nan edge from node 10 to node 2 with capacity 14,\nan edge from node 10 to node 14 with capacity 4,\nan edge from node 10 to node 17 with capacity 16,\nan edge from node 10 to node 8 with capacity 16,\nan edge from node 11 to node 5 with capacity 1,\nan edge from node 11 to node 12 with capacity 15,\nan edge from node 12 to node 15 with capacity 7,\nan edge from node 12 to node 0 with capacity 9,\nan edge from node 12 to node 13 with capacity 3,\nan edge from node 12 to node 16 with capacity 4,\nan edge from node 13 to node 5 with capacity 5,\nan edge from node 13 to node 1 with capacity 9,\nan edge from node 14 to node 1 with capacity 17,\nan edge from node 14 to node 10 with capacity 18,\nan edge from node 14 to node 13 with capacity 5,\nan edge from node 15 to node 3 with capacity 7,\nan edge from node 15 to node 10 with capacity 8,\nan edge from node 15 to node 6 with capacity 9,\nan edge from node 15 to node 13 with capacity 1,\nan edge from node 15 to node 14 with capacity 17,\nan edge from node 15 to node 16 with capacity 8,\nan edge from node 16 to node 10 with capacity 10,\nan edge from node 16 to node 6 with capacity 16,\nan edge from node 16 to node 2 with capacity 8,\nan edge from node 16 to node 13 with capacity 18,\nan edge from node 16 to node 7 with capacity 2,\nan edge from node 16 to node 17 with capacity 4,\nan edge from node 17 to node 5 with capacity 1,\nan edge from node 17 to node 9 with capacity 16,\nan edge from node 17 to node 7 with capacity 5,\nan edge from node 17 to node 11 with capacity 20,\nWhat is the maximum flow from node 6 to node 11:"
            },
            {
                "from": "gpt",
                "value": "37."
            }
        ]
    },
    {
        "id": "flow-hard-graph867",
        "image": "data/flow/graph_visual/hard/graph867.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 7 with capacity 11,\nan edge from node 0 to node 9 with capacity 10,\nan edge from node 0 to node 15 with capacity 8,\nan edge from node 0 to node 3 with capacity 1,\nan edge from node 1 to node 5 with capacity 3,\nan edge from node 1 to node 6 with capacity 9,\nan edge from node 1 to node 14 with capacity 3,\nan edge from node 2 to node 5 with capacity 4,\nan edge from node 3 to node 8 with capacity 1,\nan edge from node 3 to node 13 with capacity 12,\nan edge from node 3 to node 1 with capacity 8,\nan edge from node 3 to node 12 with capacity 10,\nan edge from node 4 to node 8 with capacity 15,\nan edge from node 4 to node 13 with capacity 20,\nan edge from node 4 to node 10 with capacity 15,\nan edge from node 5 to node 3 with capacity 11,\nan edge from node 5 to node 10 with capacity 17,\nan edge from node 5 to node 14 with capacity 15,\nan edge from node 6 to node 0 with capacity 5,\nan edge from node 6 to node 8 with capacity 20,\nan edge from node 6 to node 1 with capacity 19,\nan edge from node 6 to node 3 with capacity 1,\nan edge from node 7 to node 13 with capacity 12,\nan edge from node 7 to node 2 with capacity 18,\nan edge from node 7 to node 10 with capacity 1,\nan edge from node 7 to node 4 with capacity 4,\nan edge from node 7 to node 12 with capacity 13,\nan edge from node 8 to node 7 with capacity 1,\nan edge from node 8 to node 5 with capacity 6,\nan edge from node 8 to node 0 with capacity 12,\nan edge from node 8 to node 13 with capacity 1,\nan edge from node 8 to node 15 with capacity 13,\nan edge from node 8 to node 3 with capacity 9,\nan edge from node 8 to node 14 with capacity 10,\nan edge from node 9 to node 17 with capacity 16,\nan edge from node 9 to node 16 with capacity 5,\nan edge from node 9 to node 1 with capacity 16,\nan edge from node 9 to node 11 with capacity 4,\nan edge from node 10 to node 0 with capacity 4,\nan edge from node 10 to node 13 with capacity 8,\nan edge from node 10 to node 6 with capacity 12,\nan edge from node 10 to node 9 with capacity 6,\nan edge from node 10 to node 15 with capacity 14,\nan edge from node 10 to node 11 with capacity 16,\nan edge from node 10 to node 4 with capacity 20,\nan edge from node 11 to node 13 with capacity 4,\nan edge from node 11 to node 17 with capacity 9,\nan edge from node 11 to node 9 with capacity 7,\nan edge from node 11 to node 16 with capacity 10,\nan edge from node 11 to node 10 with capacity 16,\nan edge from node 12 to node 7 with capacity 2,\nan edge from node 12 to node 2 with capacity 20,\nan edge from node 12 to node 3 with capacity 10,\nan edge from node 14 to node 5 with capacity 13,\nan edge from node 14 to node 8 with capacity 16,\nan edge from node 14 to node 17 with capacity 6,\nan edge from node 14 to node 15 with capacity 3,\nan edge from node 14 to node 3 with capacity 11,\nan edge from node 14 to node 12 with capacity 3,\nan edge from node 15 to node 7 with capacity 4,\nan edge from node 15 to node 0 with capacity 1,\nan edge from node 15 to node 8 with capacity 10,\nan edge from node 15 to node 2 with capacity 18,\nan edge from node 15 to node 11 with capacity 16,\nan edge from node 15 to node 4 with capacity 2,\nan edge from node 15 to node 14 with capacity 14,\nan edge from node 15 to node 12 with capacity 7,\nan edge from node 16 to node 5 with capacity 1,\nan edge from node 16 to node 2 with capacity 13,\nan edge from node 16 to node 15 with capacity 20,\nan edge from node 16 to node 11 with capacity 20,\nan edge from node 16 to node 10 with capacity 13,\nan edge from node 17 to node 5 with capacity 20,\nan edge from node 17 to node 13 with capacity 16,\nan edge from node 17 to node 1 with capacity 2,\nan edge from node 17 to node 3 with capacity 12,\nWhat is the maximum flow from node 7 to node 0:"
            },
            {
                "from": "gpt",
                "value": "18."
            }
        ]
    },
    {
        "id": "flow-hard-graph333",
        "image": "data/flow/graph_visual/hard/graph333.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 12 with capacity 5,\nan edge from node 0 to node 8 with capacity 13,\nan edge from node 1 to node 2 with capacity 8,\nan edge from node 2 to node 12 with capacity 16,\nan edge from node 2 to node 5 with capacity 2,\nan edge from node 2 to node 7 with capacity 16,\nan edge from node 2 to node 9 with capacity 4,\nan edge from node 2 to node 4 with capacity 12,\nan edge from node 3 to node 12 with capacity 18,\nan edge from node 3 to node 0 with capacity 3,\nan edge from node 4 to node 12 with capacity 1,\nan edge from node 4 to node 1 with capacity 13,\nan edge from node 4 to node 5 with capacity 2,\nan edge from node 4 to node 7 with capacity 12,\nan edge from node 4 to node 6 with capacity 10,\nan edge from node 4 to node 2 with capacity 1,\nan edge from node 5 to node 7 with capacity 13,\nan edge from node 5 to node 6 with capacity 17,\nan edge from node 6 to node 5 with capacity 2,\nan edge from node 6 to node 9 with capacity 8,\nan edge from node 6 to node 2 with capacity 5,\nan edge from node 7 to node 5 with capacity 20,\nan edge from node 8 to node 11 with capacity 10,\nan edge from node 8 to node 12 with capacity 18,\nan edge from node 8 to node 6 with capacity 18,\nan edge from node 8 to node 9 with capacity 17,\nan edge from node 8 to node 0 with capacity 4,\nan edge from node 9 to node 5 with capacity 4,\nan edge from node 9 to node 6 with capacity 16,\nan edge from node 9 to node 0 with capacity 15,\nan edge from node 9 to node 4 with capacity 5,\nan edge from node 10 to node 12 with capacity 14,\nan edge from node 10 to node 1 with capacity 19,\nan edge from node 10 to node 8 with capacity 1,\nan edge from node 11 to node 8 with capacity 14,\nan edge from node 11 to node 5 with capacity 2,\nan edge from node 12 to node 1 with capacity 17,\nan edge from node 12 to node 5 with capacity 11,\nan edge from node 12 to node 7 with capacity 15,\nan edge from node 12 to node 4 with capacity 17,\nan edge from node 12 to node 2 with capacity 15,\nWhat is the maximum flow from node 11 to node 9:"
            },
            {
                "from": "gpt",
                "value": "16."
            }
        ]
    },
    {
        "id": "flow-hard-graph97",
        "image": "data/flow/graph_visual/hard/graph97.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 9 with capacity 16,\nan edge from node 1 to node 2 with capacity 8,\nan edge from node 1 to node 9 with capacity 16,\nan edge from node 1 to node 3 with capacity 3,\nan edge from node 1 to node 7 with capacity 19,\nan edge from node 2 to node 10 with capacity 13,\nan edge from node 2 to node 6 with capacity 16,\nan edge from node 2 to node 4 with capacity 2,\nan edge from node 3 to node 6 with capacity 13,\nan edge from node 4 to node 2 with capacity 20,\nan edge from node 4 to node 6 with capacity 1,\nan edge from node 4 to node 1 with capacity 3,\nan edge from node 5 to node 9 with capacity 9,\nan edge from node 5 to node 8 with capacity 3,\nan edge from node 5 to node 7 with capacity 15,\nan edge from node 6 to node 4 with capacity 13,\nan edge from node 6 to node 9 with capacity 11,\nan edge from node 6 to node 5 with capacity 14,\nan edge from node 6 to node 7 with capacity 10,\nan edge from node 7 to node 5 with capacity 14,\nan edge from node 7 to node 8 with capacity 5,\nan edge from node 8 to node 1 with capacity 1,\nan edge from node 9 to node 2 with capacity 5,\nan edge from node 9 to node 6 with capacity 20,\nan edge from node 10 to node 2 with capacity 4,\nan edge from node 10 to node 3 with capacity 2,\nWhat is the maximum flow from node 2 to node 3:"
            },
            {
                "from": "gpt",
                "value": "5."
            }
        ]
    },
    {
        "id": "flow-hard-graph1130",
        "image": "data/flow/graph_visual/hard/graph1130.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 15 with capacity 14,\nan edge from node 0 to node 8 with capacity 8,\nan edge from node 0 to node 14 with capacity 20,\nan edge from node 0 to node 11 with capacity 19,\nan edge from node 0 to node 17 with capacity 18,\nan edge from node 1 to node 16 with capacity 3,\nan edge from node 1 to node 15 with capacity 20,\nan edge from node 1 to node 19 with capacity 17,\nan edge from node 1 to node 11 with capacity 17,\nan edge from node 1 to node 17 with capacity 18,\nan edge from node 1 to node 2 with capacity 7,\nan edge from node 2 to node 14 with capacity 10,\nan edge from node 2 to node 5 with capacity 3,\nan edge from node 2 to node 11 with capacity 11,\nan edge from node 2 to node 7 with capacity 8,\nan edge from node 2 to node 10 with capacity 13,\nan edge from node 2 to node 1 with capacity 18,\nan edge from node 3 to node 8 with capacity 13,\nan edge from node 3 to node 11 with capacity 1,\nan edge from node 3 to node 9 with capacity 9,\nan edge from node 4 to node 15 with capacity 7,\nan edge from node 4 to node 14 with capacity 17,\nan edge from node 4 to node 9 with capacity 14,\nan edge from node 4 to node 13 with capacity 15,\nan edge from node 5 to node 12 with capacity 9,\nan edge from node 5 to node 18 with capacity 9,\nan edge from node 5 to node 14 with capacity 12,\nan edge from node 5 to node 11 with capacity 18,\nan edge from node 5 to node 6 with capacity 4,\nan edge from node 5 to node 0 with capacity 18,\nan edge from node 5 to node 17 with capacity 12,\nan edge from node 5 to node 10 with capacity 12,\nan edge from node 6 to node 18 with capacity 2,\nan edge from node 6 to node 1 with capacity 7,\nan edge from node 7 to node 3 with capacity 17,\nan edge from node 7 to node 18 with capacity 9,\nan edge from node 7 to node 8 with capacity 19,\nan edge from node 7 to node 4 with capacity 12,\nan edge from node 7 to node 2 with capacity 6,\nan edge from node 8 to node 3 with capacity 15,\nan edge from node 8 to node 15 with capacity 13,\nan edge from node 8 to node 17 with capacity 4,\nan edge from node 9 to node 16 with capacity 10,\nan edge from node 9 to node 12 with capacity 9,\nan edge from node 9 to node 15 with capacity 11,\nan edge from node 9 to node 19 with capacity 19,\nan edge from node 10 to node 3 with capacity 18,\nan edge from node 10 to node 14 with capacity 14,\nan edge from node 10 to node 17 with capacity 5,\nan edge from node 11 to node 3 with capacity 4,\nan edge from node 11 to node 18 with capacity 2,\nan edge from node 11 to node 15 with capacity 8,\nan edge from node 11 to node 8 with capacity 5,\nan edge from node 11 to node 5 with capacity 17,\nan edge from node 11 to node 13 with capacity 9,\nan edge from node 11 to node 7 with capacity 16,\nan edge from node 12 to node 3 with capacity 15,\nan edge from node 12 to node 4 with capacity 20,\nan edge from node 12 to node 2 with capacity 2,\nan edge from node 13 to node 15 with capacity 20,\nan edge from node 13 to node 14 with capacity 11,\nan edge from node 13 to node 11 with capacity 7,\nan edge from node 13 to node 6 with capacity 3,\nan edge from node 13 to node 17 with capacity 9,\nan edge from node 14 to node 12 with capacity 9,\nan edge from node 14 to node 9 with capacity 10,\nan edge from node 14 to node 13 with capacity 3,\nan edge from node 14 to node 7 with capacity 3,\nan edge from node 14 to node 1 with capacity 2,\nan edge from node 15 to node 3 with capacity 4,\nan edge from node 15 to node 19 with capacity 4,\nan edge from node 15 to node 5 with capacity 19,\nan edge from node 15 to node 4 with capacity 14,\nan edge from node 15 to node 0 with capacity 19,\nan edge from node 15 to node 13 with capacity 10,\nan edge from node 15 to node 10 with capacity 7,\nan edge from node 15 to node 1 with capacity 18,\nan edge from node 16 to node 18 with capacity 6,\nan edge from node 16 to node 14 with capacity 7,\nan edge from node 16 to node 19 with capacity 12,\nan edge from node 16 to node 5 with capacity 11,\nan edge from node 16 to node 0 with capacity 9,\nan edge from node 16 to node 1 with capacity 5,\nan edge from node 17 to node 18 with capacity 6,\nan edge from node 17 to node 15 with capacity 9,\nan edge from node 17 to node 7 with capacity 17,\nan edge from node 17 to node 2 with capacity 7,\nan edge from node 18 to node 3 with capacity 19,\nan edge from node 18 to node 15 with capacity 19,\nan edge from node 18 to node 14 with capacity 1,\nan edge from node 18 to node 6 with capacity 2,\nan edge from node 18 to node 7 with capacity 4,\nan edge from node 18 to node 2 with capacity 18,\nan edge from node 19 to node 15 with capacity 15,\nan edge from node 19 to node 5 with capacity 15,\nan edge from node 19 to node 2 with capacity 13,\nWhat is the maximum flow from node 2 to node 6:"
            },
            {
                "from": "gpt",
                "value": "9."
            }
        ]
    },
    {
        "id": "flow-hard-graph521",
        "image": "data/flow/graph_visual/hard/graph521.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 4 with capacity 16,\nan edge from node 0 to node 10 with capacity 6,\nan edge from node 0 to node 6 with capacity 15,\nan edge from node 0 to node 2 with capacity 4,\nan edge from node 0 to node 3 with capacity 14,\nan edge from node 0 to node 13 with capacity 10,\nan edge from node 1 to node 12 with capacity 4,\nan edge from node 1 to node 5 with capacity 12,\nan edge from node 1 to node 8 with capacity 15,\nan edge from node 1 to node 13 with capacity 12,\nan edge from node 2 to node 9 with capacity 20,\nan edge from node 2 to node 14 with capacity 10,\nan edge from node 2 to node 0 with capacity 17,\nan edge from node 3 to node 4 with capacity 15,\nan edge from node 3 to node 9 with capacity 16,\nan edge from node 3 to node 5 with capacity 12,\nan edge from node 4 to node 9 with capacity 10,\nan edge from node 4 to node 2 with capacity 1,\nan edge from node 4 to node 5 with capacity 18,\nan edge from node 4 to node 3 with capacity 9,\nan edge from node 4 to node 13 with capacity 9,\nan edge from node 5 to node 10 with capacity 20,\nan edge from node 5 to node 14 with capacity 8,\nan edge from node 5 to node 8 with capacity 2,\nan edge from node 6 to node 1 with capacity 12,\nan edge from node 6 to node 10 with capacity 4,\nan edge from node 6 to node 5 with capacity 14,\nan edge from node 6 to node 7 with capacity 5,\nan edge from node 6 to node 13 with capacity 13,\nan edge from node 7 to node 1 with capacity 7,\nan edge from node 7 to node 6 with capacity 9,\nan edge from node 7 to node 12 with capacity 16,\nan edge from node 7 to node 5 with capacity 7,\nan edge from node 8 to node 1 with capacity 3,\nan edge from node 8 to node 2 with capacity 1,\nan edge from node 8 to node 0 with capacity 13,\nan edge from node 9 to node 1 with capacity 7,\nan edge from node 9 to node 10 with capacity 5,\nan edge from node 9 to node 6 with capacity 10,\nan edge from node 9 to node 14 with capacity 2,\nan edge from node 9 to node 5 with capacity 19,\nan edge from node 10 to node 2 with capacity 18,\nan edge from node 10 to node 0 with capacity 4,\nan edge from node 10 to node 7 with capacity 1,\nan edge from node 10 to node 3 with capacity 18,\nan edge from node 11 to node 9 with capacity 3,\nan edge from node 11 to node 7 with capacity 19,\nan edge from node 12 to node 14 with capacity 4,\nan edge from node 12 to node 5 with capacity 10,\nan edge from node 12 to node 7 with capacity 18,\nan edge from node 12 to node 8 with capacity 4,\nan edge from node 13 to node 12 with capacity 14,\nan edge from node 13 to node 5 with capacity 4,\nan edge from node 13 to node 7 with capacity 13,\nan edge from node 14 to node 9 with capacity 11,\nan edge from node 14 to node 12 with capacity 11,\nan edge from node 14 to node 5 with capacity 16,\nWhat is the maximum flow from node 13 to node 3:"
            },
            {
                "from": "gpt",
                "value": "31."
            }
        ]
    },
    {
        "id": "flow-hard-graph1036",
        "image": "data/flow/graph_visual/hard/graph1036.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 3 with capacity 10,\nan edge from node 0 to node 5 with capacity 1,\nan edge from node 0 to node 10 with capacity 7,\nan edge from node 0 to node 9 with capacity 9,\nan edge from node 1 to node 2 with capacity 19,\nan edge from node 1 to node 5 with capacity 3,\nan edge from node 1 to node 10 with capacity 11,\nan edge from node 1 to node 6 with capacity 1,\nan edge from node 2 to node 11 with capacity 19,\nan edge from node 2 to node 16 with capacity 11,\nan edge from node 2 to node 12 with capacity 4,\nan edge from node 2 to node 10 with capacity 3,\nan edge from node 2 to node 18 with capacity 2,\nan edge from node 2 to node 7 with capacity 12,\nan edge from node 3 to node 12 with capacity 18,\nan edge from node 3 to node 9 with capacity 20,\nan edge from node 3 to node 7 with capacity 18,\nan edge from node 3 to node 4 with capacity 3,\nan edge from node 3 to node 8 with capacity 1,\nan edge from node 4 to node 11 with capacity 14,\nan edge from node 4 to node 14 with capacity 12,\nan edge from node 4 to node 12 with capacity 8,\nan edge from node 4 to node 6 with capacity 1,\nan edge from node 4 to node 9 with capacity 9,\nan edge from node 4 to node 15 with capacity 19,\nan edge from node 4 to node 1 with capacity 9,\nan edge from node 4 to node 7 with capacity 13,\nan edge from node 5 to node 2 with capacity 16,\nan edge from node 5 to node 0 with capacity 15,\nan edge from node 5 to node 12 with capacity 19,\nan edge from node 5 to node 10 with capacity 19,\nan edge from node 5 to node 9 with capacity 8,\nan edge from node 5 to node 1 with capacity 14,\nan edge from node 5 to node 4 with capacity 11,\nan edge from node 6 to node 3 with capacity 5,\nan edge from node 6 to node 16 with capacity 19,\nan edge from node 6 to node 0 with capacity 20,\nan edge from node 6 to node 12 with capacity 4,\nan edge from node 6 to node 18 with capacity 14,\nan edge from node 6 to node 8 with capacity 20,\nan edge from node 7 to node 11 with capacity 18,\nan edge from node 7 to node 14 with capacity 8,\nan edge from node 7 to node 16 with capacity 17,\nan edge from node 7 to node 12 with capacity 12,\nan edge from node 7 to node 10 with capacity 12,\nan edge from node 7 to node 9 with capacity 19,\nan edge from node 7 to node 1 with capacity 4,\nan edge from node 7 to node 18 with capacity 3,\nan edge from node 7 to node 4 with capacity 2,\nan edge from node 8 to node 14 with capacity 14,\nan edge from node 8 to node 2 with capacity 14,\nan edge from node 8 to node 13 with capacity 10,\nan edge from node 8 to node 17 with capacity 8,\nan edge from node 8 to node 5 with capacity 2,\nan edge from node 8 to node 15 with capacity 5,\nan edge from node 8 to node 1 with capacity 20,\nan edge from node 8 to node 18 with capacity 20,\nan edge from node 9 to node 14 with capacity 17,\nan edge from node 9 to node 5 with capacity 17,\nan edge from node 9 to node 0 with capacity 2,\nan edge from node 9 to node 7 with capacity 16,\nan edge from node 10 to node 11 with capacity 19,\nan edge from node 10 to node 13 with capacity 7,\nan edge from node 10 to node 0 with capacity 16,\nan edge from node 10 to node 7 with capacity 11,\nan edge from node 11 to node 5 with capacity 7,\nan edge from node 11 to node 7 with capacity 10,\nan edge from node 12 to node 3 with capacity 13,\nan edge from node 12 to node 17 with capacity 6,\nan edge from node 12 to node 16 with capacity 13,\nan edge from node 12 to node 5 with capacity 6,\nan edge from node 12 to node 10 with capacity 8,\nan edge from node 12 to node 9 with capacity 20,\nan edge from node 12 to node 15 with capacity 7,\nan edge from node 13 to node 2 with capacity 4,\nan edge from node 13 to node 5 with capacity 3,\nan edge from node 13 to node 12 with capacity 2,\nan edge from node 13 to node 10 with capacity 4,\nan edge from node 13 to node 18 with capacity 11,\nan edge from node 14 to node 3 with capacity 13,\nan edge from node 14 to node 17 with capacity 2,\nan edge from node 14 to node 5 with capacity 5,\nan edge from node 14 to node 9 with capacity 19,\nan edge from node 14 to node 1 with capacity 11,\nan edge from node 15 to node 11 with capacity 17,\nan edge from node 15 to node 16 with capacity 17,\nan edge from node 15 to node 0 with capacity 14,\nan edge from node 15 to node 6 with capacity 11,\nan edge from node 15 to node 18 with capacity 8,\nan edge from node 16 to node 5 with capacity 10,\nan edge from node 16 to node 0 with capacity 5,\nan edge from node 17 to node 11 with capacity 9,\nan edge from node 17 to node 2 with capacity 15,\nan edge from node 17 to node 13 with capacity 5,\nan edge from node 17 to node 5 with capacity 14,\nan edge from node 17 to node 10 with capacity 13,\nan edge from node 17 to node 1 with capacity 1,\nan edge from node 17 to node 8 with capacity 20,\nan edge from node 18 to node 17 with capacity 4,\nan edge from node 18 to node 10 with capacity 20,\nan edge from node 18 to node 4 with capacity 6,\nan edge from node 18 to node 8 with capacity 20,\nWhat is the maximum flow from node 13 to node 14:"
            },
            {
                "from": "gpt",
                "value": "24."
            }
        ]
    },
    {
        "id": "flow-hard-graph1184",
        "image": "data/flow/graph_visual/hard/graph1184.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 1 with capacity 10,\nan edge from node 0 to node 17 with capacity 6,\nan edge from node 0 to node 2 with capacity 20,\nan edge from node 1 to node 7 with capacity 12,\nan edge from node 1 to node 4 with capacity 19,\nan edge from node 1 to node 0 with capacity 14,\nan edge from node 1 to node 10 with capacity 14,\nan edge from node 1 to node 2 with capacity 13,\nan edge from node 1 to node 18 with capacity 8,\nan edge from node 1 to node 3 with capacity 8,\nan edge from node 1 to node 5 with capacity 5,\nan edge from node 2 to node 7 with capacity 2,\nan edge from node 2 to node 8 with capacity 18,\nan edge from node 2 to node 13 with capacity 19,\nan edge from node 2 to node 16 with capacity 14,\nan edge from node 2 to node 17 with capacity 10,\nan edge from node 2 to node 15 with capacity 20,\nan edge from node 2 to node 18 with capacity 10,\nan edge from node 2 to node 5 with capacity 15,\nan edge from node 2 to node 14 with capacity 16,\nan edge from node 3 to node 8 with capacity 7,\nan edge from node 3 to node 9 with capacity 8,\nan edge from node 3 to node 0 with capacity 14,\nan edge from node 3 to node 19 with capacity 15,\nan edge from node 3 to node 11 with capacity 5,\nan edge from node 4 to node 1 with capacity 8,\nan edge from node 4 to node 9 with capacity 4,\nan edge from node 4 to node 12 with capacity 12,\nan edge from node 4 to node 0 with capacity 11,\nan edge from node 4 to node 19 with capacity 15,\nan edge from node 4 to node 16 with capacity 17,\nan edge from node 4 to node 10 with capacity 10,\nan edge from node 4 to node 3 with capacity 7,\nan edge from node 4 to node 11 with capacity 1,\nan edge from node 5 to node 7 with capacity 12,\nan edge from node 5 to node 13 with capacity 1,\nan edge from node 5 to node 6 with capacity 1,\nan edge from node 5 to node 2 with capacity 4,\nan edge from node 5 to node 11 with capacity 20,\nan edge from node 6 to node 15 with capacity 14,\nan edge from node 6 to node 11 with capacity 16,\nan edge from node 7 to node 19 with capacity 2,\nan edge from node 7 to node 11 with capacity 11,\nan edge from node 8 to node 7 with capacity 16,\nan edge from node 8 to node 4 with capacity 17,\nan edge from node 8 to node 0 with capacity 2,\nan edge from node 8 to node 16 with capacity 16,\nan edge from node 8 to node 10 with capacity 8,\nan edge from node 8 to node 2 with capacity 4,\nan edge from node 8 to node 18 with capacity 9,\nan edge from node 8 to node 5 with capacity 16,\nan edge from node 8 to node 11 with capacity 18,\nan edge from node 9 to node 13 with capacity 19,\nan edge from node 9 to node 0 with capacity 8,\nan edge from node 9 to node 19 with capacity 18,\nan edge from node 9 to node 16 with capacity 13,\nan edge from node 9 to node 15 with capacity 3,\nan edge from node 9 to node 6 with capacity 3,\nan edge from node 9 to node 10 with capacity 17,\nan edge from node 9 to node 2 with capacity 14,\nan edge from node 9 to node 18 with capacity 7,\nan edge from node 9 to node 11 with capacity 8,\nan edge from node 10 to node 13 with capacity 7,\nan edge from node 10 to node 0 with capacity 3,\nan edge from node 10 to node 14 with capacity 7,\nan edge from node 11 to node 8 with capacity 11,\nan edge from node 11 to node 19 with capacity 16,\nan edge from node 11 to node 6 with capacity 3,\nan edge from node 11 to node 5 with capacity 1,\nan edge from node 11 to node 14 with capacity 14,\nan edge from node 12 to node 1 with capacity 18,\nan edge from node 12 to node 4 with capacity 10,\nan edge from node 12 to node 9 with capacity 11,\nan edge from node 12 to node 17 with capacity 13,\nan edge from node 12 to node 3 with capacity 16,\nan edge from node 13 to node 1 with capacity 8,\nan edge from node 13 to node 8 with capacity 11,\nan edge from node 13 to node 9 with capacity 15,\nan edge from node 13 to node 12 with capacity 16,\nan edge from node 14 to node 12 with capacity 11,\nan edge from node 14 to node 13 with capacity 6,\nan edge from node 14 to node 16 with capacity 14,\nan edge from node 14 to node 17 with capacity 18,\nan edge from node 14 to node 15 with capacity 4,\nan edge from node 14 to node 11 with capacity 13,\nan edge from node 15 to node 0 with capacity 20,\nan edge from node 15 to node 18 with capacity 14,\nan edge from node 16 to node 12 with capacity 18,\nan edge from node 16 to node 19 with capacity 9,\nan edge from node 16 to node 6 with capacity 5,\nan edge from node 17 to node 19 with capacity 20,\nan edge from node 17 to node 16 with capacity 16,\nan edge from node 17 to node 15 with capacity 12,\nan edge from node 17 to node 18 with capacity 16,\nan edge from node 17 to node 11 with capacity 5,\nan edge from node 18 to node 1 with capacity 11,\nan edge from node 18 to node 4 with capacity 16,\nan edge from node 18 to node 9 with capacity 3,\nan edge from node 18 to node 12 with capacity 10,\nan edge from node 18 to node 16 with capacity 1,\nan edge from node 18 to node 6 with capacity 4,\nan edge from node 18 to node 10 with capacity 19,\nan edge from node 18 to node 3 with capacity 16,\nan edge from node 19 to node 0 with capacity 3,\nan edge from node 19 to node 17 with capacity 1,\nan edge from node 19 to node 10 with capacity 8,\nan edge from node 19 to node 2 with capacity 9,\nWhat is the maximum flow from node 6 to node 7:"
            },
            {
                "from": "gpt",
                "value": "30."
            }
        ]
    },
    {
        "id": "flow-hard-graph44",
        "image": "data/flow/graph_visual/hard/graph44.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 2 with capacity 19,\nan edge from node 1 to node 6 with capacity 7,\nan edge from node 1 to node 9 with capacity 4,\nan edge from node 1 to node 3 with capacity 13,\nan edge from node 1 to node 5 with capacity 7,\nan edge from node 2 to node 6 with capacity 7,\nan edge from node 3 to node 10 with capacity 11,\nan edge from node 4 to node 2 with capacity 4,\nan edge from node 4 to node 9 with capacity 11,\nan edge from node 4 to node 0 with capacity 8,\nan edge from node 5 to node 2 with capacity 2,\nan edge from node 5 to node 0 with capacity 10,\nan edge from node 6 to node 9 with capacity 18,\nan edge from node 7 to node 8 with capacity 3,\nan edge from node 7 to node 1 with capacity 13,\nan edge from node 7 to node 10 with capacity 19,\nan edge from node 7 to node 3 with capacity 14,\nan edge from node 7 to node 5 with capacity 19,\nan edge from node 8 to node 7 with capacity 17,\nan edge from node 8 to node 9 with capacity 7,\nan edge from node 9 to node 6 with capacity 15,\nan edge from node 9 to node 1 with capacity 2,\nan edge from node 9 to node 10 with capacity 3,\nan edge from node 10 to node 2 with capacity 15,\nan edge from node 10 to node 3 with capacity 12,\nan edge from node 10 to node 5 with capacity 15,\nWhat is the maximum flow from node 0 to node 5:"
            },
            {
                "from": "gpt",
                "value": "5."
            }
        ]
    },
    {
        "id": "flow-hard-graph29",
        "image": "data/flow/graph_visual/hard/graph29.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 5 with capacity 9,\nan edge from node 0 to node 10 with capacity 7,\nan edge from node 1 to node 3 with capacity 1,\nan edge from node 2 to node 7 with capacity 9,\nan edge from node 2 to node 4 with capacity 11,\nan edge from node 2 to node 10 with capacity 5,\nan edge from node 2 to node 3 with capacity 20,\nan edge from node 3 to node 1 with capacity 4,\nan edge from node 3 to node 10 with capacity 19,\nan edge from node 3 to node 6 with capacity 9,\nan edge from node 4 to node 2 with capacity 13,\nan edge from node 5 to node 4 with capacity 18,\nan edge from node 5 to node 1 with capacity 4,\nan edge from node 5 to node 8 with capacity 9,\nan edge from node 5 to node 2 with capacity 8,\nan edge from node 5 to node 0 with capacity 1,\nan edge from node 5 to node 3 with capacity 3,\nan edge from node 6 to node 5 with capacity 13,\nan edge from node 6 to node 8 with capacity 7,\nan edge from node 6 to node 0 with capacity 2,\nan edge from node 6 to node 3 with capacity 7,\nan edge from node 7 to node 1 with capacity 17,\nan edge from node 7 to node 2 with capacity 2,\nan edge from node 7 to node 9 with capacity 2,\nan edge from node 8 to node 6 with capacity 7,\nan edge from node 8 to node 0 with capacity 20,\nan edge from node 8 to node 3 with capacity 15,\nan edge from node 9 to node 7 with capacity 18,\nan edge from node 9 to node 4 with capacity 18,\nan edge from node 9 to node 1 with capacity 8,\nan edge from node 9 to node 8 with capacity 18,\nan edge from node 9 to node 2 with capacity 18,\nan edge from node 9 to node 6 with capacity 10,\nan edge from node 10 to node 8 with capacity 1,\nWhat is the maximum flow from node 3 to node 7:"
            },
            {
                "from": "gpt",
                "value": "9."
            }
        ]
    },
    {
        "id": "flow-hard-graph109",
        "image": "data/flow/graph_visual/hard/graph109.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 8 with capacity 3,\nan edge from node 0 to node 4 with capacity 10,\nan edge from node 0 to node 1 with capacity 11,\nan edge from node 0 to node 3 with capacity 5,\nan edge from node 1 to node 9 with capacity 1,\nan edge from node 1 to node 3 with capacity 7,\nan edge from node 2 to node 9 with capacity 9,\nan edge from node 2 to node 10 with capacity 3,\nan edge from node 2 to node 3 with capacity 14,\nan edge from node 3 to node 7 with capacity 11,\nan edge from node 3 to node 10 with capacity 18,\nan edge from node 4 to node 8 with capacity 2,\nan edge from node 5 to node 8 with capacity 16,\nan edge from node 6 to node 0 with capacity 18,\nan edge from node 6 to node 9 with capacity 15,\nan edge from node 7 to node 0 with capacity 4,\nan edge from node 7 to node 2 with capacity 2,\nan edge from node 7 to node 5 with capacity 6,\nan edge from node 7 to node 10 with capacity 6,\nan edge from node 8 to node 5 with capacity 19,\nan edge from node 8 to node 4 with capacity 4,\nan edge from node 8 to node 1 with capacity 9,\nan edge from node 8 to node 3 with capacity 2,\nan edge from node 9 to node 5 with capacity 5,\nan edge from node 9 to node 4 with capacity 15,\nan edge from node 10 to node 0 with capacity 8,\nan edge from node 10 to node 6 with capacity 12,\nan edge from node 10 to node 3 with capacity 1,\nWhat is the maximum flow from node 9 to node 6:"
            },
            {
                "from": "gpt",
                "value": "7."
            }
        ]
    },
    {
        "id": "flow-hard-graph785",
        "image": "data/flow/graph_visual/hard/graph785.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 15 with capacity 18,\nan edge from node 0 to node 13 with capacity 20,\nan edge from node 0 to node 14 with capacity 13,\nan edge from node 1 to node 6 with capacity 19,\nan edge from node 1 to node 16 with capacity 10,\nan edge from node 1 to node 10 with capacity 4,\nan edge from node 1 to node 9 with capacity 6,\nan edge from node 1 to node 8 with capacity 11,\nan edge from node 1 to node 5 with capacity 18,\nan edge from node 2 to node 15 with capacity 12,\nan edge from node 2 to node 16 with capacity 17,\nan edge from node 2 to node 7 with capacity 6,\nan edge from node 2 to node 9 with capacity 9,\nan edge from node 2 to node 12 with capacity 12,\nan edge from node 3 to node 16 with capacity 9,\nan edge from node 3 to node 7 with capacity 4,\nan edge from node 3 to node 4 with capacity 19,\nan edge from node 4 to node 3 with capacity 16,\nan edge from node 4 to node 2 with capacity 12,\nan edge from node 4 to node 5 with capacity 12,\nan edge from node 5 to node 11 with capacity 6,\nan edge from node 5 to node 2 with capacity 16,\nan edge from node 5 to node 8 with capacity 10,\nan edge from node 5 to node 4 with capacity 17,\nan edge from node 5 to node 0 with capacity 13,\nan edge from node 6 to node 16 with capacity 9,\nan edge from node 6 to node 11 with capacity 9,\nan edge from node 6 to node 13 with capacity 4,\nan edge from node 6 to node 9 with capacity 2,\nan edge from node 6 to node 5 with capacity 3,\nan edge from node 6 to node 12 with capacity 11,\nan edge from node 7 to node 6 with capacity 17,\nan edge from node 7 to node 3 with capacity 13,\nan edge from node 7 to node 1 with capacity 16,\nan edge from node 7 to node 9 with capacity 20,\nan edge from node 7 to node 4 with capacity 1,\nan edge from node 7 to node 5 with capacity 8,\nan edge from node 7 to node 0 with capacity 15,\nan edge from node 8 to node 16 with capacity 10,\nan edge from node 8 to node 1 with capacity 17,\nan edge from node 8 to node 9 with capacity 11,\nan edge from node 9 to node 8 with capacity 2,\nan edge from node 9 to node 12 with capacity 15,\nan edge from node 10 to node 6 with capacity 12,\nan edge from node 10 to node 13 with capacity 20,\nan edge from node 10 to node 5 with capacity 15,\nan edge from node 11 to node 3 with capacity 12,\nan edge from node 11 to node 10 with capacity 8,\nan edge from node 11 to node 1 with capacity 8,\nan edge from node 11 to node 8 with capacity 17,\nan edge from node 11 to node 14 with capacity 13,\nan edge from node 11 to node 12 with capacity 14,\nan edge from node 11 to node 0 with capacity 7,\nan edge from node 12 to node 6 with capacity 19,\nan edge from node 12 to node 15 with capacity 13,\nan edge from node 12 to node 1 with capacity 9,\nan edge from node 13 to node 15 with capacity 17,\nan edge from node 13 to node 16 with capacity 1,\nan edge from node 13 to node 10 with capacity 2,\nan edge from node 13 to node 7 with capacity 9,\nan edge from node 13 to node 8 with capacity 1,\nan edge from node 13 to node 14 with capacity 9,\nan edge from node 13 to node 0 with capacity 7,\nan edge from node 14 to node 6 with capacity 11,\nan edge from node 14 to node 9 with capacity 19,\nan edge from node 14 to node 4 with capacity 9,\nan edge from node 14 to node 0 with capacity 11,\nan edge from node 15 to node 1 with capacity 7,\nan edge from node 15 to node 14 with capacity 6,\nan edge from node 16 to node 6 with capacity 20,\nan edge from node 16 to node 9 with capacity 11,\nan edge from node 16 to node 14 with capacity 1,\nan edge from node 16 to node 12 with capacity 13,\nWhat is the maximum flow from node 15 to node 12:"
            },
            {
                "from": "gpt",
                "value": "13."
            }
        ]
    },
    {
        "id": "flow-hard-graph350",
        "image": "data/flow/graph_visual/hard/graph350.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 1 to node 3 with capacity 5,\nan edge from node 1 to node 11 with capacity 16,\nan edge from node 1 to node 12 with capacity 3,\nan edge from node 2 to node 10 with capacity 8,\nan edge from node 2 to node 0 with capacity 10,\nan edge from node 3 to node 8 with capacity 10,\nan edge from node 3 to node 11 with capacity 16,\nan edge from node 4 to node 8 with capacity 19,\nan edge from node 4 to node 11 with capacity 11,\nan edge from node 4 to node 12 with capacity 15,\nan edge from node 5 to node 8 with capacity 12,\nan edge from node 5 to node 1 with capacity 9,\nan edge from node 5 to node 7 with capacity 7,\nan edge from node 5 to node 12 with capacity 14,\nan edge from node 6 to node 3 with capacity 1,\nan edge from node 6 to node 5 with capacity 20,\nan edge from node 6 to node 0 with capacity 10,\nan edge from node 7 to node 8 with capacity 1,\nan edge from node 7 to node 1 with capacity 8,\nan edge from node 7 to node 12 with capacity 4,\nan edge from node 8 to node 11 with capacity 17,\nan edge from node 8 to node 4 with capacity 12,\nan edge from node 8 to node 2 with capacity 16,\nan edge from node 8 to node 5 with capacity 19,\nan edge from node 9 to node 8 with capacity 8,\nan edge from node 10 to node 3 with capacity 5,\nan edge from node 10 to node 7 with capacity 2,\nan edge from node 11 to node 1 with capacity 4,\nan edge from node 11 to node 9 with capacity 11,\nan edge from node 12 to node 7 with capacity 15,\nan edge from node 12 to node 2 with capacity 4,\nan edge from node 12 to node 9 with capacity 12,\nWhat is the maximum flow from node 1 to node 5:"
            },
            {
                "from": "gpt",
                "value": "16."
            }
        ]
    },
    {
        "id": "flow-hard-graph961",
        "image": "data/flow/graph_visual/hard/graph961.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 12 with capacity 1,\nan edge from node 0 to node 4 with capacity 10,\nan edge from node 0 to node 18 with capacity 18,\nan edge from node 0 to node 14 with capacity 17,\nan edge from node 0 to node 1 with capacity 2,\nan edge from node 0 to node 13 with capacity 6,\nan edge from node 1 to node 7 with capacity 19,\nan edge from node 1 to node 8 with capacity 8,\nan edge from node 2 to node 12 with capacity 9,\nan edge from node 2 to node 4 with capacity 5,\nan edge from node 2 to node 7 with capacity 18,\nan edge from node 2 to node 5 with capacity 16,\nan edge from node 2 to node 0 with capacity 8,\nan edge from node 2 to node 13 with capacity 4,\nan edge from node 2 to node 11 with capacity 4,\nan edge from node 3 to node 4 with capacity 6,\nan edge from node 3 to node 15 with capacity 17,\nan edge from node 3 to node 0 with capacity 3,\nan edge from node 3 to node 6 with capacity 20,\nan edge from node 4 to node 7 with capacity 10,\nan edge from node 4 to node 15 with capacity 12,\nan edge from node 4 to node 16 with capacity 12,\nan edge from node 4 to node 5 with capacity 20,\nan edge from node 4 to node 1 with capacity 12,\nan edge from node 4 to node 2 with capacity 17,\nan edge from node 4 to node 13 with capacity 1,\nan edge from node 5 to node 4 with capacity 4,\nan edge from node 5 to node 14 with capacity 11,\nan edge from node 5 to node 1 with capacity 20,\nan edge from node 5 to node 0 with capacity 6,\nan edge from node 5 to node 13 with capacity 2,\nan edge from node 5 to node 6 with capacity 5,\nan edge from node 6 to node 4 with capacity 14,\nan edge from node 6 to node 5 with capacity 20,\nan edge from node 6 to node 9 with capacity 5,\nan edge from node 6 to node 0 with capacity 20,\nan edge from node 6 to node 17 with capacity 8,\nan edge from node 7 to node 3 with capacity 14,\nan edge from node 7 to node 15 with capacity 19,\nan edge from node 7 to node 18 with capacity 4,\nan edge from node 7 to node 10 with capacity 5,\nan edge from node 7 to node 5 with capacity 20,\nan edge from node 7 to node 1 with capacity 20,\nan edge from node 7 to node 8 with capacity 12,\nan edge from node 8 to node 12 with capacity 19,\nan edge from node 8 to node 15 with capacity 14,\nan edge from node 8 to node 10 with capacity 16,\nan edge from node 8 to node 14 with capacity 20,\nan edge from node 8 to node 5 with capacity 15,\nan edge from node 8 to node 11 with capacity 3,\nan edge from node 9 to node 7 with capacity 3,\nan edge from node 9 to node 15 with capacity 15,\nan edge from node 9 to node 16 with capacity 4,\nan edge from node 9 to node 10 with capacity 15,\nan edge from node 9 to node 14 with capacity 8,\nan edge from node 9 to node 13 with capacity 15,\nan edge from node 9 to node 17 with capacity 2,\nan edge from node 9 to node 11 with capacity 12,\nan edge from node 10 to node 4 with capacity 11,\nan edge from node 10 to node 3 with capacity 20,\nan edge from node 10 to node 11 with capacity 14,\nan edge from node 11 to node 7 with capacity 11,\nan edge from node 11 to node 16 with capacity 17,\nan edge from node 11 to node 14 with capacity 11,\nan edge from node 11 to node 9 with capacity 20,\nan edge from node 11 to node 8 with capacity 20,\nan edge from node 12 to node 7 with capacity 6,\nan edge from node 12 to node 3 with capacity 5,\nan edge from node 12 to node 18 with capacity 18,\nan edge from node 13 to node 12 with capacity 11,\nan edge from node 13 to node 4 with capacity 16,\nan edge from node 13 to node 15 with capacity 6,\nan edge from node 13 to node 16 with capacity 18,\nan edge from node 13 to node 18 with capacity 17,\nan edge from node 13 to node 17 with capacity 2,\nan edge from node 13 to node 6 with capacity 19,\nan edge from node 14 to node 13 with capacity 13,\nan edge from node 15 to node 7 with capacity 2,\nan edge from node 15 to node 18 with capacity 20,\nan edge from node 15 to node 1 with capacity 15,\nan edge from node 15 to node 13 with capacity 6,\nan edge from node 15 to node 8 with capacity 5,\nan edge from node 16 to node 12 with capacity 16,\nan edge from node 16 to node 7 with capacity 16,\nan edge from node 16 to node 10 with capacity 1,\nan edge from node 16 to node 9 with capacity 9,\nan edge from node 16 to node 0 with capacity 5,\nan edge from node 17 to node 3 with capacity 4,\nan edge from node 17 to node 9 with capacity 19,\nan edge from node 17 to node 2 with capacity 7,\nan edge from node 17 to node 11 with capacity 19,\nan edge from node 18 to node 12 with capacity 8,\nan edge from node 18 to node 16 with capacity 16,\nan edge from node 18 to node 1 with capacity 7,\nan edge from node 18 to node 13 with capacity 16,\nan edge from node 18 to node 17 with capacity 8,\nWhat is the maximum flow from node 18 to node 12:"
            },
            {
                "from": "gpt",
                "value": "55."
            }
        ]
    },
    {
        "id": "flow-hard-graph781",
        "image": "data/flow/graph_visual/hard/graph781.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 2 with capacity 17,\nan edge from node 0 to node 4 with capacity 13,\nan edge from node 0 to node 1 with capacity 17,\nan edge from node 0 to node 9 with capacity 2,\nan edge from node 1 to node 2 with capacity 12,\nan edge from node 1 to node 12 with capacity 14,\nan edge from node 1 to node 6 with capacity 8,\nan edge from node 2 to node 15 with capacity 6,\nan edge from node 2 to node 14 with capacity 16,\nan edge from node 2 to node 13 with capacity 3,\nan edge from node 2 to node 16 with capacity 15,\nan edge from node 3 to node 1 with capacity 1,\nan edge from node 3 to node 8 with capacity 3,\nan edge from node 3 to node 15 with capacity 4,\nan edge from node 3 to node 5 with capacity 11,\nan edge from node 3 to node 16 with capacity 15,\nan edge from node 4 to node 7 with capacity 20,\nan edge from node 5 to node 12 with capacity 10,\nan edge from node 5 to node 0 with capacity 15,\nan edge from node 5 to node 8 with capacity 2,\nan edge from node 5 to node 15 with capacity 4,\nan edge from node 6 to node 2 with capacity 16,\nan edge from node 6 to node 10 with capacity 13,\nan edge from node 6 to node 15 with capacity 18,\nan edge from node 6 to node 3 with capacity 12,\nan edge from node 7 to node 2 with capacity 8,\nan edge from node 7 to node 11 with capacity 17,\nan edge from node 7 to node 8 with capacity 14,\nan edge from node 7 to node 15 with capacity 5,\nan edge from node 7 to node 14 with capacity 10,\nan edge from node 7 to node 16 with capacity 14,\nan edge from node 8 to node 1 with capacity 16,\nan edge from node 8 to node 15 with capacity 1,\nan edge from node 8 to node 14 with capacity 3,\nan edge from node 8 to node 13 with capacity 16,\nan edge from node 9 to node 2 with capacity 14,\nan edge from node 9 to node 15 with capacity 13,\nan edge from node 9 to node 16 with capacity 10,\nan edge from node 10 to node 1 with capacity 1,\nan edge from node 11 to node 2 with capacity 8,\nan edge from node 11 to node 7 with capacity 9,\nan edge from node 11 to node 0 with capacity 1,\nan edge from node 11 to node 1 with capacity 19,\nan edge from node 11 to node 15 with capacity 12,\nan edge from node 11 to node 14 with capacity 12,\nan edge from node 11 to node 3 with capacity 4,\nan edge from node 12 to node 7 with capacity 8,\nan edge from node 12 to node 0 with capacity 20,\nan edge from node 12 to node 8 with capacity 17,\nan edge from node 12 to node 13 with capacity 10,\nan edge from node 12 to node 6 with capacity 1,\nan edge from node 12 to node 3 with capacity 6,\nan edge from node 13 to node 7 with capacity 7,\nan edge from node 13 to node 0 with capacity 19,\nan edge from node 13 to node 1 with capacity 13,\nan edge from node 13 to node 8 with capacity 15,\nan edge from node 14 to node 12 with capacity 1,\nan edge from node 14 to node 8 with capacity 19,\nan edge from node 14 to node 5 with capacity 7,\nan edge from node 14 to node 13 with capacity 7,\nan edge from node 14 to node 6 with capacity 4,\nan edge from node 14 to node 16 with capacity 18,\nan edge from node 14 to node 3 with capacity 4,\nan edge from node 14 to node 9 with capacity 2,\nan edge from node 15 to node 2 with capacity 7,\nan edge from node 15 to node 4 with capacity 10,\nan edge from node 15 to node 10 with capacity 19,\nan edge from node 15 to node 7 with capacity 17,\nan edge from node 15 to node 9 with capacity 5,\nan edge from node 16 to node 2 with capacity 6,\nan edge from node 16 to node 12 with capacity 10,\nan edge from node 16 to node 8 with capacity 19,\nan edge from node 16 to node 13 with capacity 15,\nWhat is the maximum flow from node 2 to node 6:"
            },
            {
                "from": "gpt",
                "value": "13."
            }
        ]
    },
    {
        "id": "flow-hard-graph626",
        "image": "data/flow/graph_visual/hard/graph626.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 3 with capacity 10,\nan edge from node 0 to node 10 with capacity 5,\nan edge from node 0 to node 5 with capacity 15,\nan edge from node 0 to node 8 with capacity 9,\nan edge from node 1 to node 0 with capacity 13,\nan edge from node 1 to node 15 with capacity 15,\nan edge from node 1 to node 9 with capacity 2,\nan edge from node 2 to node 1 with capacity 14,\nan edge from node 2 to node 3 with capacity 16,\nan edge from node 2 to node 11 with capacity 13,\nan edge from node 2 to node 10 with capacity 2,\nan edge from node 2 to node 14 with capacity 2,\nan edge from node 2 to node 5 with capacity 19,\nan edge from node 3 to node 15 with capacity 14,\nan edge from node 3 to node 4 with capacity 5,\nan edge from node 3 to node 9 with capacity 16,\nan edge from node 4 to node 3 with capacity 17,\nan edge from node 4 to node 10 with capacity 11,\nan edge from node 4 to node 2 with capacity 10,\nan edge from node 4 to node 14 with capacity 20,\nan edge from node 4 to node 7 with capacity 20,\nan edge from node 5 to node 8 with capacity 9,\nan edge from node 6 to node 12 with capacity 18,\nan edge from node 6 to node 3 with capacity 7,\nan edge from node 6 to node 15 with capacity 19,\nan edge from node 6 to node 10 with capacity 12,\nan edge from node 6 to node 9 with capacity 19,\nan edge from node 6 to node 8 with capacity 4,\nan edge from node 7 to node 11 with capacity 10,\nan edge from node 7 to node 9 with capacity 16,\nan edge from node 8 to node 1 with capacity 12,\nan edge from node 8 to node 0 with capacity 6,\nan edge from node 8 to node 6 with capacity 11,\nan edge from node 8 to node 11 with capacity 13,\nan edge from node 8 to node 10 with capacity 19,\nan edge from node 9 to node 12 with capacity 13,\nan edge from node 9 to node 11 with capacity 12,\nan edge from node 9 to node 4 with capacity 1,\nan edge from node 10 to node 13 with capacity 12,\nan edge from node 10 to node 15 with capacity 18,\nan edge from node 10 to node 14 with capacity 6,\nan edge from node 10 to node 4 with capacity 5,\nan edge from node 10 to node 9 with capacity 4,\nan edge from node 11 to node 6 with capacity 8,\nan edge from node 11 to node 2 with capacity 19,\nan edge from node 12 to node 13 with capacity 5,\nan edge from node 12 to node 3 with capacity 13,\nan edge from node 12 to node 5 with capacity 14,\nan edge from node 12 to node 9 with capacity 19,\nan edge from node 12 to node 7 with capacity 19,\nan edge from node 13 to node 0 with capacity 6,\nan edge from node 13 to node 12 with capacity 1,\nan edge from node 13 to node 5 with capacity 7,\nan edge from node 14 to node 13 with capacity 10,\nan edge from node 14 to node 0 with capacity 14,\nan edge from node 14 to node 12 with capacity 13,\nan edge from node 14 to node 3 with capacity 15,\nan edge from node 15 to node 0 with capacity 5,\nan edge from node 15 to node 4 with capacity 19,\nWhat is the maximum flow from node 0 to node 3:"
            },
            {
                "from": "gpt",
                "value": "33."
            }
        ]
    },
    {
        "id": "flow-hard-graph793",
        "image": "data/flow/graph_visual/hard/graph793.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 12 with capacity 13,\nan edge from node 0 to node 6 with capacity 9,\nan edge from node 0 to node 8 with capacity 16,\nan edge from node 1 to node 9 with capacity 19,\nan edge from node 1 to node 13 with capacity 6,\nan edge from node 1 to node 7 with capacity 14,\nan edge from node 1 to node 2 with capacity 6,\nan edge from node 2 to node 14 with capacity 17,\nan edge from node 2 to node 5 with capacity 1,\nan edge from node 3 to node 0 with capacity 14,\nan edge from node 3 to node 14 with capacity 10,\nan edge from node 3 to node 5 with capacity 19,\nan edge from node 3 to node 13 with capacity 1,\nan edge from node 3 to node 1 with capacity 2,\nan edge from node 3 to node 11 with capacity 11,\nan edge from node 4 to node 13 with capacity 2,\nan edge from node 4 to node 7 with capacity 5,\nan edge from node 4 to node 8 with capacity 20,\nan edge from node 5 to node 0 with capacity 16,\nan edge from node 5 to node 12 with capacity 15,\nan edge from node 5 to node 6 with capacity 16,\nan edge from node 6 to node 14 with capacity 4,\nan edge from node 6 to node 8 with capacity 13,\nan edge from node 6 to node 11 with capacity 13,\nan edge from node 7 to node 5 with capacity 19,\nan edge from node 7 to node 6 with capacity 18,\nan edge from node 8 to node 0 with capacity 11,\nan edge from node 8 to node 5 with capacity 19,\nan edge from node 8 to node 7 with capacity 11,\nan edge from node 8 to node 16 with capacity 9,\nan edge from node 9 to node 14 with capacity 7,\nan edge from node 9 to node 5 with capacity 5,\nan edge from node 9 to node 16 with capacity 14,\nan edge from node 10 to node 2 with capacity 12,\nan edge from node 10 to node 8 with capacity 11,\nan edge from node 11 to node 14 with capacity 9,\nan edge from node 11 to node 5 with capacity 13,\nan edge from node 11 to node 15 with capacity 5,\nan edge from node 11 to node 10 with capacity 9,\nan edge from node 11 to node 6 with capacity 5,\nan edge from node 11 to node 8 with capacity 2,\nan edge from node 12 to node 4 with capacity 10,\nan edge from node 12 to node 7 with capacity 8,\nan edge from node 12 to node 1 with capacity 18,\nan edge from node 12 to node 11 with capacity 15,\nan edge from node 13 to node 0 with capacity 1,\nan edge from node 13 to node 12 with capacity 9,\nan edge from node 13 to node 10 with capacity 9,\nan edge from node 13 to node 4 with capacity 6,\nan edge from node 13 to node 6 with capacity 14,\nan edge from node 14 to node 15 with capacity 9,\nan edge from node 14 to node 3 with capacity 12,\nan edge from node 14 to node 10 with capacity 6,\nan edge from node 15 to node 9 with capacity 6,\nan edge from node 15 to node 13 with capacity 17,\nan edge from node 15 to node 10 with capacity 4,\nan edge from node 15 to node 8 with capacity 17,\nan edge from node 15 to node 11 with capacity 18,\nan edge from node 16 to node 0 with capacity 14,\nan edge from node 16 to node 14 with capacity 13,\nan edge from node 16 to node 5 with capacity 18,\nan edge from node 16 to node 13 with capacity 1,\nan edge from node 16 to node 15 with capacity 6,\nan edge from node 16 to node 2 with capacity 11,\nan edge from node 16 to node 11 with capacity 3,\nWhat is the maximum flow from node 11 to node 1:"
            },
            {
                "from": "gpt",
                "value": "20."
            }
        ]
    },
    {
        "id": "flow-hard-graph411",
        "image": "data/flow/graph_visual/hard/graph411.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 13 with capacity 17,\nan edge from node 0 to node 8 with capacity 15,\nan edge from node 1 to node 2 with capacity 4,\nan edge from node 1 to node 0 with capacity 9,\nan edge from node 2 to node 13 with capacity 2,\nan edge from node 2 to node 4 with capacity 4,\nan edge from node 2 to node 0 with capacity 12,\nan edge from node 2 to node 11 with capacity 5,\nan edge from node 3 to node 9 with capacity 10,\nan edge from node 3 to node 11 with capacity 2,\nan edge from node 3 to node 7 with capacity 6,\nan edge from node 4 to node 2 with capacity 17,\nan edge from node 4 to node 3 with capacity 9,\nan edge from node 4 to node 5 with capacity 8,\nan edge from node 5 to node 2 with capacity 15,\nan edge from node 5 to node 0 with capacity 1,\nan edge from node 5 to node 6 with capacity 7,\nan edge from node 6 to node 2 with capacity 19,\nan edge from node 6 to node 4 with capacity 6,\nan edge from node 6 to node 0 with capacity 9,\nan edge from node 6 to node 11 with capacity 12,\nan edge from node 6 to node 7 with capacity 2,\nan edge from node 7 to node 9 with capacity 11,\nan edge from node 7 to node 3 with capacity 1,\nan edge from node 7 to node 4 with capacity 13,\nan edge from node 7 to node 0 with capacity 19,\nan edge from node 7 to node 11 with capacity 20,\nan edge from node 7 to node 6 with capacity 5,\nan edge from node 8 to node 2 with capacity 12,\nan edge from node 8 to node 10 with capacity 12,\nan edge from node 8 to node 11 with capacity 19,\nan edge from node 8 to node 5 with capacity 6,\nan edge from node 9 to node 3 with capacity 17,\nan edge from node 9 to node 8 with capacity 1,\nan edge from node 9 to node 7 with capacity 2,\nan edge from node 9 to node 5 with capacity 1,\nan edge from node 10 to node 0 with capacity 3,\nan edge from node 10 to node 8 with capacity 12,\nan edge from node 10 to node 7 with capacity 10,\nan edge from node 10 to node 5 with capacity 7,\nan edge from node 11 to node 9 with capacity 10,\nan edge from node 11 to node 1 with capacity 5,\nan edge from node 11 to node 13 with capacity 19,\nan edge from node 11 to node 3 with capacity 8,\nan edge from node 11 to node 0 with capacity 7,\nan edge from node 11 to node 6 with capacity 8,\nan edge from node 11 to node 7 with capacity 1,\nan edge from node 12 to node 2 with capacity 18,\nan edge from node 12 to node 1 with capacity 10,\nan edge from node 12 to node 13 with capacity 15,\nan edge from node 12 to node 3 with capacity 12,\nan edge from node 12 to node 4 with capacity 12,\nan edge from node 12 to node 0 with capacity 18,\nan edge from node 12 to node 6 with capacity 20,\nan edge from node 13 to node 10 with capacity 20,\nan edge from node 13 to node 3 with capacity 13,\nan edge from node 13 to node 7 with capacity 5,\nWhat is the maximum flow from node 13 to node 1:"
            },
            {
                "from": "gpt",
                "value": "5."
            }
        ]
    },
    {
        "id": "flow-hard-graph730",
        "image": "data/flow/graph_visual/hard/graph730.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 14 with capacity 10,\nan edge from node 0 to node 13 with capacity 7,\nan edge from node 0 to node 1 with capacity 6,\nan edge from node 0 to node 10 with capacity 11,\nan edge from node 0 to node 2 with capacity 4,\nan edge from node 0 to node 11 with capacity 17,\nan edge from node 0 to node 4 with capacity 17,\nan edge from node 1 to node 0 with capacity 2,\nan edge from node 2 to node 4 with capacity 20,\nan edge from node 3 to node 16 with capacity 12,\nan edge from node 3 to node 1 with capacity 1,\nan edge from node 3 to node 10 with capacity 13,\nan edge from node 3 to node 12 with capacity 13,\nan edge from node 3 to node 5 with capacity 5,\nan edge from node 3 to node 11 with capacity 4,\nan edge from node 4 to node 10 with capacity 8,\nan edge from node 4 to node 6 with capacity 2,\nan edge from node 4 to node 5 with capacity 10,\nan edge from node 4 to node 0 with capacity 11,\nan edge from node 5 to node 13 with capacity 20,\nan edge from node 5 to node 9 with capacity 7,\nan edge from node 5 to node 10 with capacity 9,\nan edge from node 5 to node 11 with capacity 14,\nan edge from node 5 to node 8 with capacity 2,\nan edge from node 6 to node 16 with capacity 8,\nan edge from node 6 to node 2 with capacity 9,\nan edge from node 6 to node 12 with capacity 1,\nan edge from node 6 to node 15 with capacity 8,\nan edge from node 8 to node 16 with capacity 9,\nan edge from node 8 to node 2 with capacity 12,\nan edge from node 8 to node 7 with capacity 4,\nan edge from node 8 to node 5 with capacity 16,\nan edge from node 8 to node 15 with capacity 1,\nan edge from node 8 to node 0 with capacity 19,\nan edge from node 9 to node 0 with capacity 12,\nan edge from node 10 to node 14 with capacity 1,\nan edge from node 10 to node 7 with capacity 13,\nan edge from node 10 to node 0 with capacity 20,\nan edge from node 10 to node 8 with capacity 12,\nan edge from node 11 to node 13 with capacity 7,\nan edge from node 11 to node 1 with capacity 3,\nan edge from node 11 to node 10 with capacity 13,\nan edge from node 11 to node 3 with capacity 1,\nan edge from node 11 to node 5 with capacity 19,\nan edge from node 12 to node 16 with capacity 5,\nan edge from node 12 to node 10 with capacity 15,\nan edge from node 12 to node 0 with capacity 3,\nan edge from node 12 to node 4 with capacity 17,\nan edge from node 13 to node 16 with capacity 2,\nan edge from node 13 to node 9 with capacity 2,\nan edge from node 13 to node 1 with capacity 18,\nan edge from node 13 to node 10 with capacity 4,\nan edge from node 13 to node 2 with capacity 9,\nan edge from node 13 to node 7 with capacity 1,\nan edge from node 14 to node 1 with capacity 16,\nan edge from node 14 to node 2 with capacity 14,\nan edge from node 14 to node 5 with capacity 11,\nan edge from node 14 to node 8 with capacity 1,\nan edge from node 15 to node 14 with capacity 19,\nan edge from node 15 to node 9 with capacity 12,\nan edge from node 15 to node 2 with capacity 14,\nan edge from node 16 to node 6 with capacity 12,\nan edge from node 16 to node 8 with capacity 16,\nWhat is the maximum flow from node 13 to node 4:"
            },
            {
                "from": "gpt",
                "value": "19."
            }
        ]
    },
    {
        "id": "flow-hard-graph788",
        "image": "data/flow/graph_visual/hard/graph788.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 13 with capacity 7,\nan edge from node 0 to node 6 with capacity 14,\nan edge from node 1 to node 3 with capacity 1,\nan edge from node 1 to node 16 with capacity 4,\nan edge from node 1 to node 9 with capacity 10,\nan edge from node 1 to node 14 with capacity 15,\nan edge from node 1 to node 5 with capacity 19,\nan edge from node 2 to node 11 with capacity 3,\nan edge from node 2 to node 12 with capacity 16,\nan edge from node 2 to node 0 with capacity 6,\nan edge from node 3 to node 16 with capacity 10,\nan edge from node 3 to node 4 with capacity 6,\nan edge from node 3 to node 6 with capacity 8,\nan edge from node 3 to node 15 with capacity 20,\nan edge from node 3 to node 1 with capacity 3,\nan edge from node 3 to node 8 with capacity 11,\nan edge from node 3 to node 0 with capacity 9,\nan edge from node 4 to node 7 with capacity 1,\nan edge from node 4 to node 3 with capacity 5,\nan edge from node 4 to node 9 with capacity 6,\nan edge from node 4 to node 12 with capacity 7,\nan edge from node 4 to node 15 with capacity 14,\nan edge from node 4 to node 1 with capacity 1,\nan edge from node 4 to node 8 with capacity 9,\nan edge from node 5 to node 13 with capacity 4,\nan edge from node 5 to node 4 with capacity 16,\nan edge from node 5 to node 10 with capacity 15,\nan edge from node 5 to node 2 with capacity 5,\nan edge from node 6 to node 4 with capacity 11,\nan edge from node 6 to node 12 with capacity 12,\nan edge from node 7 to node 14 with capacity 8,\nan edge from node 7 to node 6 with capacity 4,\nan edge from node 7 to node 8 with capacity 5,\nan edge from node 7 to node 2 with capacity 15,\nan edge from node 8 to node 11 with capacity 14,\nan edge from node 8 to node 12 with capacity 8,\nan edge from node 8 to node 6 with capacity 12,\nan edge from node 8 to node 0 with capacity 19,\nan edge from node 9 to node 3 with capacity 17,\nan edge from node 9 to node 4 with capacity 15,\nan edge from node 10 to node 3 with capacity 8,\nan edge from node 10 to node 14 with capacity 13,\nan edge from node 10 to node 4 with capacity 3,\nan edge from node 10 to node 1 with capacity 3,\nan edge from node 10 to node 5 with capacity 14,\nan edge from node 10 to node 0 with capacity 9,\nan edge from node 11 to node 7 with capacity 15,\nan edge from node 11 to node 14 with capacity 4,\nan edge from node 11 to node 4 with capacity 2,\nan edge from node 12 to node 9 with capacity 20,\nan edge from node 12 to node 2 with capacity 8,\nan edge from node 12 to node 5 with capacity 10,\nan edge from node 13 to node 14 with capacity 19,\nan edge from node 13 to node 5 with capacity 5,\nan edge from node 14 to node 11 with capacity 3,\nan edge from node 14 to node 15 with capacity 14,\nan edge from node 14 to node 10 with capacity 15,\nan edge from node 15 to node 11 with capacity 16,\nan edge from node 15 to node 13 with capacity 16,\nan edge from node 15 to node 16 with capacity 17,\nan edge from node 15 to node 5 with capacity 5,\nan edge from node 16 to node 11 with capacity 7,\nan edge from node 16 to node 14 with capacity 3,\nan edge from node 16 to node 4 with capacity 18,\nan edge from node 16 to node 6 with capacity 6,\nan edge from node 16 to node 1 with capacity 6,\nan edge from node 16 to node 2 with capacity 3,\nan edge from node 16 to node 5 with capacity 7,\nWhat is the maximum flow from node 6 to node 8:"
            },
            {
                "from": "gpt",
                "value": "23."
            }
        ]
    },
    {
        "id": "flow-hard-graph482",
        "image": "data/flow/graph_visual/hard/graph482.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 1 to node 10 with capacity 2,\nan edge from node 1 to node 12 with capacity 13,\nan edge from node 2 to node 0 with capacity 8,\nan edge from node 2 to node 7 with capacity 16,\nan edge from node 2 to node 1 with capacity 4,\nan edge from node 3 to node 13 with capacity 8,\nan edge from node 3 to node 0 with capacity 14,\nan edge from node 3 to node 4 with capacity 14,\nan edge from node 4 to node 8 with capacity 9,\nan edge from node 4 to node 7 with capacity 8,\nan edge from node 4 to node 9 with capacity 3,\nan edge from node 4 to node 1 with capacity 9,\nan edge from node 4 to node 12 with capacity 7,\nan edge from node 5 to node 8 with capacity 1,\nan edge from node 5 to node 0 with capacity 18,\nan edge from node 5 to node 4 with capacity 1,\nan edge from node 6 to node 8 with capacity 14,\nan edge from node 7 to node 11 with capacity 3,\nan edge from node 7 to node 9 with capacity 16,\nan edge from node 7 to node 1 with capacity 4,\nan edge from node 8 to node 11 with capacity 13,\nan edge from node 8 to node 3 with capacity 19,\nan edge from node 8 to node 13 with capacity 14,\nan edge from node 8 to node 4 with capacity 10,\nan edge from node 9 to node 11 with capacity 16,\nan edge from node 9 to node 10 with capacity 14,\nan edge from node 9 to node 4 with capacity 14,\nan edge from node 10 to node 13 with capacity 12,\nan edge from node 10 to node 8 with capacity 15,\nan edge from node 10 to node 2 with capacity 5,\nan edge from node 11 to node 3 with capacity 16,\nan edge from node 11 to node 5 with capacity 15,\nan edge from node 11 to node 4 with capacity 6,\nan edge from node 12 to node 11 with capacity 5,\nan edge from node 12 to node 10 with capacity 8,\nan edge from node 12 to node 7 with capacity 11,\nan edge from node 13 to node 3 with capacity 20,\nan edge from node 13 to node 8 with capacity 12,\nan edge from node 13 to node 9 with capacity 1,\nan edge from node 13 to node 1 with capacity 18,\nan edge from node 14 to node 12 with capacity 9,\nWhat is the maximum flow from node 7 to node 1:"
            },
            {
                "from": "gpt",
                "value": "23."
            }
        ]
    },
    {
        "id": "flow-hard-graph699",
        "image": "data/flow/graph_visual/hard/graph699.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 1 with capacity 5,\nan edge from node 0 to node 12 with capacity 8,\nan edge from node 0 to node 14 with capacity 8,\nan edge from node 1 to node 5 with capacity 19,\nan edge from node 1 to node 6 with capacity 8,\nan edge from node 1 to node 3 with capacity 5,\nan edge from node 2 to node 3 with capacity 2,\nan edge from node 3 to node 5 with capacity 3,\nan edge from node 3 to node 0 with capacity 8,\nan edge from node 3 to node 6 with capacity 9,\nan edge from node 4 to node 11 with capacity 14,\nan edge from node 4 to node 5 with capacity 10,\nan edge from node 4 to node 12 with capacity 17,\nan edge from node 5 to node 1 with capacity 20,\nan edge from node 5 to node 10 with capacity 13,\nan edge from node 5 to node 15 with capacity 19,\nan edge from node 5 to node 13 with capacity 7,\nan edge from node 5 to node 0 with capacity 15,\nan edge from node 5 to node 14 with capacity 9,\nan edge from node 5 to node 4 with capacity 10,\nan edge from node 6 to node 1 with capacity 11,\nan edge from node 6 to node 15 with capacity 4,\nan edge from node 6 to node 9 with capacity 1,\nan edge from node 6 to node 4 with capacity 18,\nan edge from node 7 to node 11 with capacity 14,\nan edge from node 7 to node 14 with capacity 15,\nan edge from node 7 to node 6 with capacity 20,\nan edge from node 8 to node 12 with capacity 1,\nan edge from node 8 to node 4 with capacity 2,\nan edge from node 9 to node 11 with capacity 2,\nan edge from node 9 to node 2 with capacity 19,\nan edge from node 9 to node 1 with capacity 10,\nan edge from node 9 to node 13 with capacity 18,\nan edge from node 9 to node 14 with capacity 20,\nan edge from node 10 to node 2 with capacity 17,\nan edge from node 10 to node 15 with capacity 13,\nan edge from node 10 to node 9 with capacity 8,\nan edge from node 10 to node 14 with capacity 9,\nan edge from node 10 to node 6 with capacity 9,\nan edge from node 11 to node 1 with capacity 14,\nan edge from node 11 to node 15 with capacity 16,\nan edge from node 11 to node 5 with capacity 16,\nan edge from node 11 to node 0 with capacity 19,\nan edge from node 11 to node 9 with capacity 17,\nan edge from node 11 to node 4 with capacity 10,\nan edge from node 11 to node 8 with capacity 18,\nan edge from node 12 to node 5 with capacity 14,\nan edge from node 12 to node 9 with capacity 4,\nan edge from node 12 to node 3 with capacity 8,\nan edge from node 13 to node 12 with capacity 19,\nan edge from node 14 to node 2 with capacity 16,\nan edge from node 14 to node 10 with capacity 7,\nan edge from node 14 to node 7 with capacity 12,\nan edge from node 14 to node 12 with capacity 5,\nan edge from node 14 to node 9 with capacity 5,\nan edge from node 14 to node 6 with capacity 5,\nan edge from node 15 to node 1 with capacity 13,\nan edge from node 15 to node 10 with capacity 9,\nan edge from node 15 to node 13 with capacity 14,\nan edge from node 15 to node 14 with capacity 2,\nWhat is the maximum flow from node 15 to node 2:"
            },
            {
                "from": "gpt",
                "value": "38."
            }
        ]
    },
    {
        "id": "flow-hard-graph247",
        "image": "data/flow/graph_visual/hard/graph247.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 12 with capacity 19,\nan edge from node 1 to node 7 with capacity 19,\nan edge from node 1 to node 2 with capacity 18,\nan edge from node 1 to node 6 with capacity 12,\nan edge from node 1 to node 10 with capacity 4,\nan edge from node 1 to node 3 with capacity 10,\nan edge from node 1 to node 8 with capacity 10,\nan edge from node 2 to node 8 with capacity 17,\nan edge from node 3 to node 4 with capacity 11,\nan edge from node 3 to node 2 with capacity 12,\nan edge from node 3 to node 8 with capacity 16,\nan edge from node 4 to node 7 with capacity 12,\nan edge from node 4 to node 3 with capacity 15,\nan edge from node 5 to node 11 with capacity 5,\nan edge from node 5 to node 8 with capacity 14,\nan edge from node 6 to node 10 with capacity 5,\nan edge from node 7 to node 1 with capacity 7,\nan edge from node 7 to node 2 with capacity 20,\nan edge from node 7 to node 3 with capacity 3,\nan edge from node 7 to node 8 with capacity 9,\nan edge from node 8 to node 7 with capacity 10,\nan edge from node 8 to node 12 with capacity 19,\nan edge from node 8 to node 0 with capacity 12,\nan edge from node 10 to node 11 with capacity 14,\nan edge from node 10 to node 3 with capacity 19,\nan edge from node 11 to node 9 with capacity 17,\nan edge from node 11 to node 6 with capacity 1,\nan edge from node 11 to node 10 with capacity 8,\nan edge from node 11 to node 0 with capacity 11,\nan edge from node 12 to node 7 with capacity 2,\nan edge from node 12 to node 4 with capacity 19,\nan edge from node 12 to node 9 with capacity 17,\nan edge from node 12 to node 10 with capacity 11,\nan edge from node 12 to node 3 with capacity 14,\nan edge from node 12 to node 8 with capacity 16,\nWhat is the maximum flow from node 8 to node 6:"
            },
            {
                "from": "gpt",
                "value": "8."
            }
        ]
    },
    {
        "id": "flow-hard-graph272",
        "image": "data/flow/graph_visual/hard/graph272.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 3 with capacity 9,\nan edge from node 1 to node 4 with capacity 10,\nan edge from node 1 to node 11 with capacity 20,\nan edge from node 1 to node 8 with capacity 20,\nan edge from node 1 to node 3 with capacity 11,\nan edge from node 1 to node 9 with capacity 13,\nan edge from node 2 to node 5 with capacity 1,\nan edge from node 2 to node 12 with capacity 14,\nan edge from node 2 to node 9 with capacity 14,\nan edge from node 3 to node 12 with capacity 10,\nan edge from node 3 to node 1 with capacity 9,\nan edge from node 3 to node 6 with capacity 13,\nan edge from node 3 to node 8 with capacity 20,\nan edge from node 3 to node 9 with capacity 16,\nan edge from node 5 to node 4 with capacity 17,\nan edge from node 5 to node 6 with capacity 14,\nan edge from node 5 to node 10 with capacity 19,\nan edge from node 6 to node 5 with capacity 9,\nan edge from node 6 to node 2 with capacity 13,\nan edge from node 6 to node 0 with capacity 18,\nan edge from node 7 to node 4 with capacity 1,\nan edge from node 7 to node 1 with capacity 5,\nan edge from node 7 to node 11 with capacity 20,\nan edge from node 7 to node 6 with capacity 13,\nan edge from node 7 to node 0 with capacity 14,\nan edge from node 7 to node 3 with capacity 6,\nan edge from node 8 to node 12 with capacity 3,\nan edge from node 8 to node 11 with capacity 8,\nan edge from node 8 to node 2 with capacity 4,\nan edge from node 8 to node 0 with capacity 3,\nan edge from node 8 to node 9 with capacity 4,\nan edge from node 9 to node 1 with capacity 3,\nan edge from node 9 to node 6 with capacity 8,\nan edge from node 9 to node 2 with capacity 13,\nan edge from node 9 to node 8 with capacity 13,\nan edge from node 10 to node 4 with capacity 20,\nan edge from node 10 to node 6 with capacity 20,\nan edge from node 10 to node 3 with capacity 2,\nan edge from node 11 to node 7 with capacity 18,\nan edge from node 12 to node 1 with capacity 13,\nan edge from node 12 to node 2 with capacity 17,\nan edge from node 12 to node 7 with capacity 15,\nan edge from node 12 to node 8 with capacity 15,\nWhat is the maximum flow from node 8 to node 3:"
            },
            {
                "from": "gpt",
                "value": "22."
            }
        ]
    },
    {
        "id": "flow-hard-graph999",
        "image": "data/flow/graph_visual/hard/graph999.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 11 with capacity 11,\nan edge from node 0 to node 15 with capacity 13,\nan edge from node 0 to node 7 with capacity 3,\nan edge from node 0 to node 3 with capacity 2,\nan edge from node 0 to node 17 with capacity 1,\nan edge from node 0 to node 12 with capacity 16,\nan edge from node 1 to node 14 with capacity 7,\nan edge from node 1 to node 12 with capacity 3,\nan edge from node 2 to node 13 with capacity 14,\nan edge from node 2 to node 4 with capacity 5,\nan edge from node 2 to node 7 with capacity 14,\nan edge from node 2 to node 8 with capacity 12,\nan edge from node 3 to node 0 with capacity 3,\nan edge from node 3 to node 17 with capacity 12,\nan edge from node 4 to node 11 with capacity 1,\nan edge from node 4 to node 6 with capacity 19,\nan edge from node 4 to node 16 with capacity 18,\nan edge from node 4 to node 2 with capacity 1,\nan edge from node 4 to node 5 with capacity 2,\nan edge from node 4 to node 1 with capacity 2,\nan edge from node 4 to node 3 with capacity 8,\nan edge from node 4 to node 0 with capacity 11,\nan edge from node 4 to node 17 with capacity 7,\nan edge from node 5 to node 18 with capacity 12,\nan edge from node 5 to node 1 with capacity 18,\nan edge from node 5 to node 3 with capacity 18,\nan edge from node 5 to node 12 with capacity 4,\nan edge from node 6 to node 18 with capacity 7,\nan edge from node 6 to node 14 with capacity 12,\nan edge from node 6 to node 9 with capacity 6,\nan edge from node 6 to node 1 with capacity 15,\nan edge from node 6 to node 17 with capacity 3,\nan edge from node 6 to node 8 with capacity 14,\nan edge from node 7 to node 15 with capacity 16,\nan edge from node 7 to node 6 with capacity 6,\nan edge from node 7 to node 17 with capacity 18,\nan edge from node 8 to node 16 with capacity 1,\nan edge from node 8 to node 3 with capacity 7,\nan edge from node 8 to node 0 with capacity 10,\nan edge from node 9 to node 15 with capacity 4,\nan edge from node 9 to node 13 with capacity 19,\nan edge from node 9 to node 16 with capacity 17,\nan edge from node 9 to node 2 with capacity 12,\nan edge from node 9 to node 7 with capacity 15,\nan edge from node 9 to node 1 with capacity 5,\nan edge from node 9 to node 0 with capacity 3,\nan edge from node 10 to node 15 with capacity 8,\nan edge from node 10 to node 13 with capacity 1,\nan edge from node 10 to node 6 with capacity 10,\nan edge from node 10 to node 9 with capacity 6,\nan edge from node 10 to node 2 with capacity 3,\nan edge from node 10 to node 7 with capacity 17,\nan edge from node 10 to node 12 with capacity 15,\nan edge from node 11 to node 13 with capacity 15,\nan edge from node 11 to node 9 with capacity 11,\nan edge from node 12 to node 10 with capacity 9,\nan edge from node 12 to node 14 with capacity 2,\nan edge from node 12 to node 16 with capacity 13,\nan edge from node 12 to node 7 with capacity 1,\nan edge from node 12 to node 8 with capacity 11,\nan edge from node 13 to node 15 with capacity 16,\nan edge from node 13 to node 4 with capacity 7,\nan edge from node 13 to node 1 with capacity 4,\nan edge from node 13 to node 12 with capacity 2,\nan edge from node 14 to node 11 with capacity 6,\nan edge from node 14 to node 0 with capacity 18,\nan edge from node 14 to node 17 with capacity 3,\nan edge from node 14 to node 12 with capacity 4,\nan edge from node 15 to node 18 with capacity 15,\nan edge from node 15 to node 7 with capacity 14,\nan edge from node 15 to node 0 with capacity 6,\nan edge from node 16 to node 18 with capacity 9,\nan edge from node 16 to node 9 with capacity 3,\nan edge from node 16 to node 0 with capacity 20,\nan edge from node 16 to node 8 with capacity 19,\nan edge from node 17 to node 15 with capacity 19,\nan edge from node 17 to node 6 with capacity 14,\nan edge from node 17 to node 7 with capacity 13,\nan edge from node 17 to node 3 with capacity 17,\nan edge from node 17 to node 0 with capacity 19,\nan edge from node 18 to node 13 with capacity 16,\nan edge from node 18 to node 6 with capacity 20,\nan edge from node 18 to node 16 with capacity 14,\nan edge from node 18 to node 7 with capacity 20,\nan edge from node 18 to node 0 with capacity 11,\nan edge from node 18 to node 17 with capacity 1,\nan edge from node 18 to node 12 with capacity 17,\nWhat is the maximum flow from node 11 to node 18:"
            },
            {
                "from": "gpt",
                "value": "26."
            }
        ]
    },
    {
        "id": "flow-hard-graph991",
        "image": "data/flow/graph_visual/hard/graph991.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 4 with capacity 1,\nan edge from node 0 to node 6 with capacity 1,\nan edge from node 0 to node 17 with capacity 12,\nan edge from node 0 to node 7 with capacity 7,\nan edge from node 0 to node 14 with capacity 19,\nan edge from node 0 to node 18 with capacity 8,\nan edge from node 0 to node 13 with capacity 6,\nan edge from node 0 to node 16 with capacity 19,\nan edge from node 1 to node 17 with capacity 7,\nan edge from node 1 to node 7 with capacity 10,\nan edge from node 1 to node 3 with capacity 20,\nan edge from node 1 to node 12 with capacity 1,\nan edge from node 2 to node 10 with capacity 16,\nan edge from node 3 to node 6 with capacity 13,\nan edge from node 3 to node 7 with capacity 18,\nan edge from node 3 to node 8 with capacity 4,\nan edge from node 3 to node 14 with capacity 8,\nan edge from node 3 to node 5 with capacity 12,\nan edge from node 3 to node 0 with capacity 7,\nan edge from node 4 to node 2 with capacity 1,\nan edge from node 4 to node 6 with capacity 13,\nan edge from node 4 to node 15 with capacity 20,\nan edge from node 4 to node 8 with capacity 12,\nan edge from node 4 to node 14 with capacity 3,\nan edge from node 4 to node 5 with capacity 19,\nan edge from node 4 to node 12 with capacity 3,\nan edge from node 5 to node 6 with capacity 11,\nan edge from node 5 to node 1 with capacity 8,\nan edge from node 5 to node 8 with capacity 7,\nan edge from node 5 to node 18 with capacity 5,\nan edge from node 5 to node 0 with capacity 15,\nan edge from node 6 to node 2 with capacity 11,\nan edge from node 6 to node 4 with capacity 6,\nan edge from node 6 to node 11 with capacity 7,\nan edge from node 6 to node 7 with capacity 10,\nan edge from node 6 to node 18 with capacity 15,\nan edge from node 6 to node 9 with capacity 8,\nan edge from node 6 to node 3 with capacity 4,\nan edge from node 6 to node 13 with capacity 19,\nan edge from node 7 to node 6 with capacity 14,\nan edge from node 7 to node 1 with capacity 19,\nan edge from node 7 to node 5 with capacity 18,\nan edge from node 7 to node 10 with capacity 14,\nan edge from node 7 to node 12 with capacity 5,\nan edge from node 8 to node 2 with capacity 3,\nan edge from node 8 to node 6 with capacity 19,\nan edge from node 8 to node 12 with capacity 8,\nan edge from node 9 to node 4 with capacity 2,\nan edge from node 9 to node 17 with capacity 13,\nan edge from node 9 to node 15 with capacity 15,\nan edge from node 9 to node 12 with capacity 3,\nan edge from node 9 to node 0 with capacity 16,\nan edge from node 10 to node 8 with capacity 8,\nan edge from node 11 to node 6 with capacity 17,\nan edge from node 11 to node 8 with capacity 13,\nan edge from node 11 to node 12 with capacity 8,\nan edge from node 11 to node 0 with capacity 16,\nan edge from node 11 to node 16 with capacity 6,\nan edge from node 12 to node 15 with capacity 13,\nan edge from node 12 to node 14 with capacity 2,\nan edge from node 12 to node 13 with capacity 19,\nan edge from node 12 to node 16 with capacity 10,\nan edge from node 13 to node 9 with capacity 19,\nan edge from node 14 to node 11 with capacity 8,\nan edge from node 14 to node 15 with capacity 7,\nan edge from node 14 to node 8 with capacity 14,\nan edge from node 14 to node 9 with capacity 20,\nan edge from node 14 to node 3 with capacity 19,\nan edge from node 14 to node 0 with capacity 16,\nan edge from node 15 to node 2 with capacity 19,\nan edge from node 15 to node 8 with capacity 18,\nan edge from node 15 to node 18 with capacity 19,\nan edge from node 15 to node 10 with capacity 9,\nan edge from node 15 to node 9 with capacity 19,\nan edge from node 15 to node 3 with capacity 1,\nan edge from node 16 to node 4 with capacity 9,\nan edge from node 16 to node 11 with capacity 1,\nan edge from node 16 to node 8 with capacity 4,\nan edge from node 16 to node 0 with capacity 11,\nan edge from node 17 to node 11 with capacity 15,\nan edge from node 17 to node 15 with capacity 2,\nan edge from node 17 to node 10 with capacity 2,\nan edge from node 17 to node 9 with capacity 14,\nan edge from node 17 to node 16 with capacity 13,\nan edge from node 18 to node 14 with capacity 19,\nan edge from node 18 to node 5 with capacity 18,\nan edge from node 18 to node 13 with capacity 5,\nan edge from node 18 to node 0 with capacity 11,\nWhat is the maximum flow from node 18 to node 9:"
            },
            {
                "from": "gpt",
                "value": "53."
            }
        ]
    },
    {
        "id": "flow-hard-graph728",
        "image": "data/flow/graph_visual/hard/graph728.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 8 with capacity 1,\nan edge from node 0 to node 12 with capacity 18,\nan edge from node 0 to node 4 with capacity 4,\nan edge from node 0 to node 5 with capacity 16,\nan edge from node 0 to node 10 with capacity 11,\nan edge from node 0 to node 9 with capacity 2,\nan edge from node 0 to node 2 with capacity 5,\nan edge from node 0 to node 7 with capacity 15,\nan edge from node 1 to node 4 with capacity 10,\nan edge from node 1 to node 3 with capacity 5,\nan edge from node 1 to node 11 with capacity 15,\nan edge from node 2 to node 8 with capacity 14,\nan edge from node 2 to node 14 with capacity 14,\nan edge from node 2 to node 5 with capacity 18,\nan edge from node 2 to node 9 with capacity 9,\nan edge from node 2 to node 0 with capacity 13,\nan edge from node 3 to node 13 with capacity 13,\nan edge from node 3 to node 15 with capacity 14,\nan edge from node 3 to node 11 with capacity 16,\nan edge from node 3 to node 9 with capacity 8,\nan edge from node 4 to node 13 with capacity 17,\nan edge from node 4 to node 5 with capacity 18,\nan edge from node 4 to node 3 with capacity 4,\nan edge from node 5 to node 12 with capacity 17,\nan edge from node 5 to node 1 with capacity 13,\nan edge from node 5 to node 16 with capacity 7,\nan edge from node 5 to node 6 with capacity 3,\nan edge from node 6 to node 4 with capacity 6,\nan edge from node 6 to node 14 with capacity 6,\nan edge from node 6 to node 7 with capacity 9,\nan edge from node 7 to node 10 with capacity 13,\nan edge from node 7 to node 0 with capacity 11,\nan edge from node 8 to node 1 with capacity 13,\nan edge from node 8 to node 13 with capacity 13,\nan edge from node 8 to node 6 with capacity 13,\nan edge from node 8 to node 7 with capacity 3,\nan edge from node 9 to node 1 with capacity 6,\nan edge from node 9 to node 16 with capacity 15,\nan edge from node 10 to node 13 with capacity 13,\nan edge from node 10 to node 3 with capacity 10,\nan edge from node 10 to node 15 with capacity 5,\nan edge from node 10 to node 9 with capacity 20,\nan edge from node 11 to node 12 with capacity 4,\nan edge from node 11 to node 4 with capacity 18,\nan edge from node 11 to node 10 with capacity 2,\nan edge from node 11 to node 2 with capacity 3,\nan edge from node 12 to node 5 with capacity 20,\nan edge from node 12 to node 6 with capacity 9,\nan edge from node 13 to node 4 with capacity 11,\nan edge from node 13 to node 1 with capacity 14,\nan edge from node 13 to node 15 with capacity 3,\nan edge from node 13 to node 2 with capacity 3,\nan edge from node 14 to node 13 with capacity 3,\nan edge from node 14 to node 3 with capacity 16,\nan edge from node 14 to node 15 with capacity 10,\nan edge from node 14 to node 11 with capacity 11,\nan edge from node 14 to node 6 with capacity 3,\nan edge from node 15 to node 16 with capacity 17,\nan edge from node 16 to node 2 with capacity 5,\nan edge from node 16 to node 7 with capacity 12,\nWhat is the maximum flow from node 1 to node 16:"
            },
            {
                "from": "gpt",
                "value": "30."
            }
        ]
    },
    {
        "id": "flow-hard-graph37",
        "image": "data/flow/graph_visual/hard/graph37.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 2 with capacity 4,\nan edge from node 0 to node 7 with capacity 9,\nan edge from node 0 to node 6 with capacity 8,\nan edge from node 2 to node 5 with capacity 14,\nan edge from node 2 to node 9 with capacity 13,\nan edge from node 3 to node 4 with capacity 15,\nan edge from node 4 to node 0 with capacity 16,\nan edge from node 4 to node 6 with capacity 15,\nan edge from node 4 to node 1 with capacity 17,\nan edge from node 5 to node 7 with capacity 16,\nan edge from node 5 to node 8 with capacity 1,\nan edge from node 5 to node 1 with capacity 6,\nan edge from node 5 to node 9 with capacity 14,\nan edge from node 6 to node 2 with capacity 6,\nan edge from node 6 to node 3 with capacity 3,\nan edge from node 6 to node 5 with capacity 3,\nan edge from node 6 to node 4 with capacity 18,\nan edge from node 6 to node 10 with capacity 2,\nan edge from node 7 to node 8 with capacity 8,\nan edge from node 7 to node 6 with capacity 19,\nan edge from node 8 to node 2 with capacity 18,\nan edge from node 9 to node 5 with capacity 17,\nan edge from node 9 to node 6 with capacity 18,\nan edge from node 9 to node 1 with capacity 14,\nan edge from node 9 to node 10 with capacity 3,\nan edge from node 10 to node 4 with capacity 17,\nWhat is the maximum flow from node 5 to node 1:"
            },
            {
                "from": "gpt",
                "value": "37."
            }
        ]
    },
    {
        "id": "flow-hard-graph48",
        "image": "data/flow/graph_visual/hard/graph48.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 3 with capacity 14,\nan edge from node 0 to node 1 with capacity 14,\nan edge from node 1 to node 10 with capacity 20,\nan edge from node 1 to node 7 with capacity 1,\nan edge from node 1 to node 9 with capacity 11,\nan edge from node 1 to node 6 with capacity 13,\nan edge from node 2 to node 10 with capacity 1,\nan edge from node 2 to node 9 with capacity 11,\nan edge from node 2 to node 3 with capacity 18,\nan edge from node 2 to node 4 with capacity 18,\nan edge from node 3 to node 8 with capacity 12,\nan edge from node 4 to node 10 with capacity 14,\nan edge from node 5 to node 7 with capacity 16,\nan edge from node 5 to node 4 with capacity 10,\nan edge from node 6 to node 5 with capacity 11,\nan edge from node 6 to node 1 with capacity 17,\nan edge from node 6 to node 2 with capacity 5,\nan edge from node 8 to node 9 with capacity 7,\nan edge from node 8 to node 1 with capacity 6,\nan edge from node 8 to node 4 with capacity 18,\nan edge from node 8 to node 2 with capacity 3,\nan edge from node 9 to node 7 with capacity 11,\nan edge from node 9 to node 1 with capacity 12,\nan edge from node 10 to node 0 with capacity 14,\nan edge from node 10 to node 6 with capacity 3,\nan edge from node 10 to node 2 with capacity 4,\nWhat is the maximum flow from node 10 to node 9:"
            },
            {
                "from": "gpt",
                "value": "21."
            }
        ]
    },
    {
        "id": "flow-hard-graph735",
        "image": "data/flow/graph_visual/hard/graph735.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 15 with capacity 12,\nan edge from node 0 to node 3 with capacity 10,\nan edge from node 0 to node 6 with capacity 9,\nan edge from node 0 to node 10 with capacity 1,\nan edge from node 0 to node 7 with capacity 6,\nan edge from node 1 to node 11 with capacity 17,\nan edge from node 1 to node 8 with capacity 11,\nan edge from node 1 to node 5 with capacity 3,\nan edge from node 1 to node 7 with capacity 6,\nan edge from node 1 to node 0 with capacity 20,\nan edge from node 2 to node 15 with capacity 13,\nan edge from node 2 to node 11 with capacity 19,\nan edge from node 2 to node 13 with capacity 18,\nan edge from node 4 to node 10 with capacity 10,\nan edge from node 4 to node 0 with capacity 13,\nan edge from node 5 to node 3 with capacity 10,\nan edge from node 5 to node 8 with capacity 3,\nan edge from node 5 to node 12 with capacity 11,\nan edge from node 5 to node 1 with capacity 8,\nan edge from node 6 to node 15 with capacity 17,\nan edge from node 6 to node 0 with capacity 10,\nan edge from node 6 to node 13 with capacity 9,\nan edge from node 7 to node 15 with capacity 15,\nan edge from node 7 to node 9 with capacity 16,\nan edge from node 7 to node 4 with capacity 8,\nan edge from node 7 to node 14 with capacity 1,\nan edge from node 8 to node 15 with capacity 16,\nan edge from node 8 to node 5 with capacity 7,\nan edge from node 8 to node 10 with capacity 4,\nan edge from node 8 to node 12 with capacity 3,\nan edge from node 8 to node 16 with capacity 20,\nan edge from node 8 to node 14 with capacity 11,\nan edge from node 8 to node 0 with capacity 9,\nan edge from node 9 to node 3 with capacity 18,\nan edge from node 9 to node 6 with capacity 13,\nan edge from node 9 to node 8 with capacity 18,\nan edge from node 9 to node 2 with capacity 14,\nan edge from node 9 to node 14 with capacity 19,\nan edge from node 9 to node 13 with capacity 20,\nan edge from node 10 to node 11 with capacity 20,\nan edge from node 10 to node 9 with capacity 7,\nan edge from node 11 to node 5 with capacity 5,\nan edge from node 11 to node 7 with capacity 6,\nan edge from node 11 to node 16 with capacity 18,\nan edge from node 12 to node 15 with capacity 5,\nan edge from node 12 to node 6 with capacity 2,\nan edge from node 12 to node 2 with capacity 11,\nan edge from node 12 to node 16 with capacity 5,\nan edge from node 12 to node 9 with capacity 19,\nan edge from node 12 to node 4 with capacity 11,\nan edge from node 13 to node 11 with capacity 7,\nan edge from node 13 to node 3 with capacity 5,\nan edge from node 13 to node 6 with capacity 17,\nan edge from node 13 to node 5 with capacity 6,\nan edge from node 13 to node 7 with capacity 10,\nan edge from node 13 to node 0 with capacity 7,\nan edge from node 14 to node 15 with capacity 15,\nan edge from node 14 to node 4 with capacity 11,\nan edge from node 15 to node 11 with capacity 3,\nan edge from node 15 to node 1 with capacity 17,\nan edge from node 15 to node 16 with capacity 11,\nan edge from node 15 to node 9 with capacity 13,\nan edge from node 15 to node 14 with capacity 15,\nan edge from node 16 to node 15 with capacity 17,\nan edge from node 16 to node 6 with capacity 19,\nan edge from node 16 to node 8 with capacity 16,\nWhat is the maximum flow from node 16 to node 7:"
            },
            {
                "from": "gpt",
                "value": "28."
            }
        ]
    },
    {
        "id": "flow-hard-graph486",
        "image": "data/flow/graph_visual/hard/graph486.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 4 with capacity 15,\nan edge from node 0 to node 13 with capacity 3,\nan edge from node 0 to node 7 with capacity 15,\nan edge from node 0 to node 1 with capacity 18,\nan edge from node 1 to node 14 with capacity 2,\nan edge from node 1 to node 11 with capacity 4,\nan edge from node 1 to node 9 with capacity 11,\nan edge from node 1 to node 6 with capacity 3,\nan edge from node 2 to node 4 with capacity 12,\nan edge from node 2 to node 14 with capacity 7,\nan edge from node 2 to node 10 with capacity 18,\nan edge from node 2 to node 6 with capacity 20,\nan edge from node 2 to node 8 with capacity 20,\nan edge from node 3 to node 2 with capacity 2,\nan edge from node 3 to node 1 with capacity 5,\nan edge from node 4 to node 14 with capacity 2,\nan edge from node 4 to node 11 with capacity 20,\nan edge from node 4 to node 1 with capacity 12,\nan edge from node 5 to node 4 with capacity 18,\nan edge from node 5 to node 14 with capacity 6,\nan edge from node 5 to node 10 with capacity 10,\nan edge from node 5 to node 8 with capacity 1,\nan edge from node 6 to node 4 with capacity 8,\nan edge from node 6 to node 11 with capacity 18,\nan edge from node 6 to node 12 with capacity 13,\nan edge from node 6 to node 10 with capacity 16,\nan edge from node 7 to node 4 with capacity 19,\nan edge from node 7 to node 3 with capacity 8,\nan edge from node 7 to node 12 with capacity 14,\nan edge from node 7 to node 1 with capacity 9,\nan edge from node 8 to node 9 with capacity 8,\nan edge from node 8 to node 0 with capacity 20,\nan edge from node 8 to node 12 with capacity 6,\nan edge from node 8 to node 7 with capacity 6,\nan edge from node 8 to node 6 with capacity 19,\nan edge from node 8 to node 2 with capacity 18,\nan edge from node 9 to node 4 with capacity 10,\nan edge from node 9 to node 14 with capacity 4,\nan edge from node 9 to node 5 with capacity 3,\nan edge from node 9 to node 13 with capacity 1,\nan edge from node 9 to node 7 with capacity 14,\nan edge from node 9 to node 10 with capacity 12,\nan edge from node 10 to node 4 with capacity 4,\nan edge from node 10 to node 2 with capacity 11,\nan edge from node 11 to node 14 with capacity 8,\nan edge from node 12 to node 4 with capacity 17,\nan edge from node 12 to node 5 with capacity 3,\nan edge from node 12 to node 9 with capacity 7,\nan edge from node 12 to node 13 with capacity 9,\nan edge from node 13 to node 12 with capacity 19,\nan edge from node 13 to node 10 with capacity 10,\nan edge from node 13 to node 8 with capacity 16,\nan edge from node 14 to node 11 with capacity 5,\nan edge from node 14 to node 12 with capacity 4,\nan edge from node 14 to node 8 with capacity 8,\nWhat is the maximum flow from node 3 to node 14:"
            },
            {
                "from": "gpt",
                "value": "7."
            }
        ]
    },
    {
        "id": "flow-hard-graph1188",
        "image": "data/flow/graph_visual/hard/graph1188.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 19 with capacity 16,\nan edge from node 0 to node 10 with capacity 9,\nan edge from node 1 to node 14 with capacity 9,\nan edge from node 1 to node 11 with capacity 18,\nan edge from node 1 to node 19 with capacity 18,\nan edge from node 1 to node 10 with capacity 15,\nan edge from node 1 to node 5 with capacity 19,\nan edge from node 2 to node 8 with capacity 10,\nan edge from node 2 to node 0 with capacity 10,\nan edge from node 2 to node 11 with capacity 5,\nan edge from node 2 to node 5 with capacity 9,\nan edge from node 3 to node 18 with capacity 7,\nan edge from node 3 to node 16 with capacity 17,\nan edge from node 3 to node 10 with capacity 8,\nan edge from node 3 to node 4 with capacity 20,\nan edge from node 3 to node 15 with capacity 3,\nan edge from node 4 to node 18 with capacity 13,\nan edge from node 4 to node 11 with capacity 16,\nan edge from node 4 to node 19 with capacity 6,\nan edge from node 4 to node 15 with capacity 14,\nan edge from node 5 to node 0 with capacity 13,\nan edge from node 5 to node 18 with capacity 18,\nan edge from node 5 to node 7 with capacity 2,\nan edge from node 5 to node 11 with capacity 14,\nan edge from node 5 to node 3 with capacity 18,\nan edge from node 5 to node 10 with capacity 8,\nan edge from node 5 to node 4 with capacity 10,\nan edge from node 5 to node 15 with capacity 9,\nan edge from node 6 to node 14 with capacity 6,\nan edge from node 6 to node 3 with capacity 20,\nan edge from node 6 to node 2 with capacity 20,\nan edge from node 6 to node 5 with capacity 6,\nan edge from node 6 to node 4 with capacity 11,\nan edge from node 7 to node 8 with capacity 2,\nan edge from node 7 to node 14 with capacity 20,\nan edge from node 7 to node 18 with capacity 9,\nan edge from node 7 to node 16 with capacity 3,\nan edge from node 7 to node 9 with capacity 15,\nan edge from node 7 to node 13 with capacity 1,\nan edge from node 7 to node 2 with capacity 11,\nan edge from node 8 to node 0 with capacity 2,\nan edge from node 8 to node 7 with capacity 3,\nan edge from node 8 to node 1 with capacity 10,\nan edge from node 8 to node 17 with capacity 4,\nan edge from node 8 to node 10 with capacity 10,\nan edge from node 9 to node 12 with capacity 1,\nan edge from node 9 to node 8 with capacity 13,\nan edge from node 9 to node 6 with capacity 15,\nan edge from node 9 to node 16 with capacity 8,\nan edge from node 9 to node 5 with capacity 4,\nan edge from node 9 to node 15 with capacity 7,\nan edge from node 10 to node 14 with capacity 20,\nan edge from node 10 to node 7 with capacity 7,\nan edge from node 10 to node 16 with capacity 7,\nan edge from node 11 to node 12 with capacity 2,\nan edge from node 11 to node 16 with capacity 18,\nan edge from node 11 to node 4 with capacity 18,\nan edge from node 12 to node 1 with capacity 15,\nan edge from node 12 to node 9 with capacity 7,\nan edge from node 12 to node 11 with capacity 11,\nan edge from node 12 to node 19 with capacity 8,\nan edge from node 12 to node 2 with capacity 1,\nan edge from node 12 to node 5 with capacity 10,\nan edge from node 13 to node 7 with capacity 17,\nan edge from node 13 to node 1 with capacity 1,\nan edge from node 13 to node 10 with capacity 19,\nan edge from node 13 to node 5 with capacity 7,\nan edge from node 14 to node 0 with capacity 13,\nan edge from node 14 to node 16 with capacity 4,\nan edge from node 14 to node 19 with capacity 10,\nan edge from node 14 to node 2 with capacity 19,\nan edge from node 14 to node 4 with capacity 11,\nan edge from node 15 to node 8 with capacity 11,\nan edge from node 15 to node 6 with capacity 3,\nan edge from node 15 to node 18 with capacity 2,\nan edge from node 15 to node 16 with capacity 11,\nan edge from node 15 to node 3 with capacity 4,\nan edge from node 15 to node 5 with capacity 16,\nan edge from node 16 to node 12 with capacity 7,\nan edge from node 16 to node 0 with capacity 11,\nan edge from node 16 to node 11 with capacity 12,\nan edge from node 17 to node 6 with capacity 19,\nan edge from node 17 to node 18 with capacity 10,\nan edge from node 17 to node 16 with capacity 6,\nan edge from node 17 to node 3 with capacity 2,\nan edge from node 17 to node 4 with capacity 7,\nan edge from node 17 to node 15 with capacity 1,\nan edge from node 18 to node 0 with capacity 3,\nan edge from node 18 to node 3 with capacity 2,\nan edge from node 19 to node 0 with capacity 16,\nan edge from node 19 to node 16 with capacity 1,\nan edge from node 19 to node 17 with capacity 19,\nan edge from node 19 to node 10 with capacity 2,\nWhat is the maximum flow from node 0 to node 6:"
            },
            {
                "from": "gpt",
                "value": "25."
            }
        ]
    },
    {
        "id": "flow-hard-graph27",
        "image": "data/flow/graph_visual/hard/graph27.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 4 with capacity 16,\nan edge from node 0 to node 7 with capacity 16,\nan edge from node 0 to node 9 with capacity 3,\nan edge from node 0 to node 2 with capacity 2,\nan edge from node 2 to node 4 with capacity 4,\nan edge from node 2 to node 1 with capacity 20,\nan edge from node 2 to node 10 with capacity 4,\nan edge from node 3 to node 8 with capacity 10,\nan edge from node 3 to node 6 with capacity 15,\nan edge from node 4 to node 0 with capacity 10,\nan edge from node 4 to node 1 with capacity 20,\nan edge from node 4 to node 9 with capacity 2,\nan edge from node 5 to node 1 with capacity 7,\nan edge from node 5 to node 10 with capacity 20,\nan edge from node 5 to node 2 with capacity 7,\nan edge from node 7 to node 4 with capacity 3,\nan edge from node 7 to node 8 with capacity 15,\nan edge from node 7 to node 6 with capacity 16,\nan edge from node 7 to node 9 with capacity 10,\nan edge from node 8 to node 0 with capacity 20,\nan edge from node 8 to node 7 with capacity 12,\nan edge from node 8 to node 9 with capacity 10,\nan edge from node 8 to node 2 with capacity 3,\nan edge from node 9 to node 8 with capacity 19,\nan edge from node 9 to node 1 with capacity 20,\nan edge from node 9 to node 5 with capacity 9,\nan edge from node 10 to node 8 with capacity 9,\nWhat is the maximum flow from node 2 to node 5:"
            },
            {
                "from": "gpt",
                "value": "8."
            }
        ]
    },
    {
        "id": "flow-hard-graph1151",
        "image": "data/flow/graph_visual/hard/graph1151.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 3 with capacity 11,\nan edge from node 0 to node 8 with capacity 17,\nan edge from node 1 to node 17 with capacity 13,\nan edge from node 1 to node 15 with capacity 6,\nan edge from node 1 to node 10 with capacity 3,\nan edge from node 1 to node 16 with capacity 5,\nan edge from node 1 to node 11 with capacity 15,\nan edge from node 1 to node 3 with capacity 19,\nan edge from node 2 to node 19 with capacity 13,\nan edge from node 3 to node 17 with capacity 15,\nan edge from node 3 to node 0 with capacity 12,\nan edge from node 3 to node 11 with capacity 20,\nan edge from node 3 to node 9 with capacity 1,\nan edge from node 3 to node 14 with capacity 11,\nan edge from node 4 to node 10 with capacity 7,\nan edge from node 4 to node 9 with capacity 15,\nan edge from node 4 to node 8 with capacity 16,\nan edge from node 5 to node 0 with capacity 18,\nan edge from node 5 to node 3 with capacity 9,\nan edge from node 5 to node 9 with capacity 2,\nan edge from node 5 to node 14 with capacity 16,\nan edge from node 5 to node 6 with capacity 4,\nan edge from node 5 to node 19 with capacity 8,\nan edge from node 6 to node 17 with capacity 10,\nan edge from node 6 to node 10 with capacity 20,\nan edge from node 6 to node 11 with capacity 2,\nan edge from node 6 to node 3 with capacity 19,\nan edge from node 6 to node 9 with capacity 10,\nan edge from node 7 to node 10 with capacity 17,\nan edge from node 7 to node 11 with capacity 14,\nan edge from node 7 to node 18 with capacity 6,\nan edge from node 7 to node 8 with capacity 1,\nan edge from node 7 to node 5 with capacity 11,\nan edge from node 7 to node 6 with capacity 10,\nan edge from node 8 to node 3 with capacity 5,\nan edge from node 8 to node 18 with capacity 14,\nan edge from node 8 to node 14 with capacity 2,\nan edge from node 9 to node 4 with capacity 2,\nan edge from node 9 to node 15 with capacity 7,\nan edge from node 10 to node 0 with capacity 6,\nan edge from node 10 to node 11 with capacity 10,\nan edge from node 11 to node 4 with capacity 3,\nan edge from node 11 to node 10 with capacity 14,\nan edge from node 11 to node 5 with capacity 15,\nan edge from node 11 to node 19 with capacity 7,\nan edge from node 12 to node 4 with capacity 8,\nan edge from node 12 to node 9 with capacity 17,\nan edge from node 12 to node 6 with capacity 16,\nan edge from node 13 to node 7 with capacity 17,\nan edge from node 13 to node 11 with capacity 11,\nan edge from node 14 to node 17 with capacity 13,\nan edge from node 14 to node 4 with capacity 11,\nan edge from node 14 to node 16 with capacity 18,\nan edge from node 14 to node 5 with capacity 10,\nan edge from node 14 to node 6 with capacity 14,\nan edge from node 15 to node 17 with capacity 17,\nan edge from node 15 to node 0 with capacity 16,\nan edge from node 15 to node 7 with capacity 12,\nan edge from node 15 to node 10 with capacity 15,\nan edge from node 15 to node 9 with capacity 5,\nan edge from node 15 to node 6 with capacity 10,\nan edge from node 16 to node 0 with capacity 12,\nan edge from node 16 to node 13 with capacity 15,\nan edge from node 16 to node 8 with capacity 1,\nan edge from node 17 to node 0 with capacity 6,\nan edge from node 17 to node 15 with capacity 19,\nan edge from node 17 to node 16 with capacity 2,\nan edge from node 17 to node 11 with capacity 12,\nan edge from node 17 to node 3 with capacity 20,\nan edge from node 17 to node 18 with capacity 20,\nan edge from node 17 to node 8 with capacity 2,\nan edge from node 18 to node 10 with capacity 18,\nan edge from node 18 to node 3 with capacity 1,\nan edge from node 18 to node 13 with capacity 12,\nan edge from node 18 to node 6 with capacity 4,\nan edge from node 19 to node 12 with capacity 13,\nan edge from node 19 to node 11 with capacity 9,\nan edge from node 19 to node 3 with capacity 17,\nWhat is the maximum flow from node 7 to node 3:"
            },
            {
                "from": "gpt",
                "value": "58."
            }
        ]
    },
    {
        "id": "flow-hard-graph631",
        "image": "data/flow/graph_visual/hard/graph631.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 5 with capacity 1,\nan edge from node 1 to node 8 with capacity 6,\nan edge from node 1 to node 12 with capacity 16,\nan edge from node 1 to node 5 with capacity 19,\nan edge from node 1 to node 9 with capacity 3,\nan edge from node 2 to node 1 with capacity 9,\nan edge from node 2 to node 6 with capacity 5,\nan edge from node 2 to node 0 with capacity 16,\nan edge from node 2 to node 4 with capacity 10,\nan edge from node 2 to node 5 with capacity 9,\nan edge from node 2 to node 9 with capacity 14,\nan edge from node 2 to node 15 with capacity 7,\nan edge from node 3 to node 8 with capacity 19,\nan edge from node 3 to node 1 with capacity 11,\nan edge from node 3 to node 11 with capacity 15,\nan edge from node 3 to node 9 with capacity 7,\nan edge from node 4 to node 2 with capacity 10,\nan edge from node 4 to node 8 with capacity 10,\nan edge from node 4 to node 10 with capacity 16,\nan edge from node 4 to node 5 with capacity 15,\nan edge from node 5 to node 12 with capacity 12,\nan edge from node 6 to node 1 with capacity 15,\nan edge from node 6 to node 14 with capacity 20,\nan edge from node 6 to node 12 with capacity 2,\nan edge from node 6 to node 4 with capacity 7,\nan edge from node 6 to node 3 with capacity 6,\nan edge from node 7 to node 2 with capacity 18,\nan edge from node 7 to node 8 with capacity 4,\nan edge from node 7 to node 12 with capacity 9,\nan edge from node 7 to node 9 with capacity 7,\nan edge from node 8 to node 6 with capacity 13,\nan edge from node 8 to node 0 with capacity 6,\nan edge from node 8 to node 3 with capacity 3,\nan edge from node 9 to node 2 with capacity 5,\nan edge from node 9 to node 8 with capacity 3,\nan edge from node 9 to node 14 with capacity 9,\nan edge from node 10 to node 8 with capacity 20,\nan edge from node 10 to node 14 with capacity 11,\nan edge from node 10 to node 6 with capacity 20,\nan edge from node 10 to node 5 with capacity 10,\nan edge from node 11 to node 12 with capacity 15,\nan edge from node 11 to node 7 with capacity 14,\nan edge from node 11 to node 5 with capacity 5,\nan edge from node 12 to node 2 with capacity 6,\nan edge from node 12 to node 13 with capacity 1,\nan edge from node 12 to node 0 with capacity 14,\nan edge from node 12 to node 4 with capacity 12,\nan edge from node 12 to node 9 with capacity 18,\nan edge from node 13 to node 14 with capacity 15,\nan edge from node 13 to node 12 with capacity 18,\nan edge from node 13 to node 7 with capacity 14,\nan edge from node 13 to node 15 with capacity 2,\nan edge from node 14 to node 1 with capacity 6,\nan edge from node 14 to node 6 with capacity 19,\nan edge from node 14 to node 7 with capacity 17,\nan edge from node 14 to node 9 with capacity 19,\nan edge from node 14 to node 3 with capacity 20,\nan edge from node 15 to node 2 with capacity 13,\nan edge from node 15 to node 6 with capacity 19,\nan edge from node 15 to node 11 with capacity 11,\nan edge from node 15 to node 9 with capacity 9,\nWhat is the maximum flow from node 14 to node 1:"
            },
            {
                "from": "gpt",
                "value": "41."
            }
        ]
    },
    {
        "id": "flow-hard-graph42",
        "image": "data/flow/graph_visual/hard/graph42.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 7 with capacity 13,\nan edge from node 0 to node 1 with capacity 5,\nan edge from node 1 to node 7 with capacity 6,\nan edge from node 1 to node 10 with capacity 3,\nan edge from node 2 to node 7 with capacity 6,\nan edge from node 2 to node 3 with capacity 19,\nan edge from node 2 to node 4 with capacity 12,\nan edge from node 3 to node 2 with capacity 8,\nan edge from node 3 to node 10 with capacity 15,\nan edge from node 4 to node 9 with capacity 14,\nan edge from node 4 to node 3 with capacity 3,\nan edge from node 4 to node 1 with capacity 19,\nan edge from node 5 to node 9 with capacity 6,\nan edge from node 5 to node 1 with capacity 2,\nan edge from node 6 to node 8 with capacity 10,\nan edge from node 6 to node 1 with capacity 17,\nan edge from node 7 to node 0 with capacity 11,\nan edge from node 7 to node 10 with capacity 8,\nan edge from node 7 to node 1 with capacity 12,\nan edge from node 8 to node 0 with capacity 15,\nan edge from node 9 to node 2 with capacity 12,\nan edge from node 9 to node 0 with capacity 11,\nan edge from node 10 to node 9 with capacity 3,\nan edge from node 10 to node 3 with capacity 6,\nan edge from node 10 to node 8 with capacity 4,\nWhat is the maximum flow from node 10 to node 3:"
            },
            {
                "from": "gpt",
                "value": "9."
            }
        ]
    },
    {
        "id": "flow-hard-graph274",
        "image": "data/flow/graph_visual/hard/graph274.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 6 with capacity 5,\nan edge from node 0 to node 12 with capacity 2,\nan edge from node 0 to node 2 with capacity 17,\nan edge from node 0 to node 3 with capacity 3,\nan edge from node 1 to node 9 with capacity 20,\nan edge from node 1 to node 5 with capacity 1,\nan edge from node 1 to node 11 with capacity 13,\nan edge from node 2 to node 1 with capacity 4,\nan edge from node 2 to node 4 with capacity 18,\nan edge from node 2 to node 10 with capacity 1,\nan edge from node 3 to node 7 with capacity 3,\nan edge from node 3 to node 0 with capacity 20,\nan edge from node 3 to node 4 with capacity 18,\nan edge from node 3 to node 10 with capacity 12,\nan edge from node 4 to node 5 with capacity 6,\nan edge from node 5 to node 6 with capacity 16,\nan edge from node 5 to node 0 with capacity 13,\nan edge from node 5 to node 3 with capacity 6,\nan edge from node 6 to node 2 with capacity 15,\nan edge from node 6 to node 1 with capacity 14,\nan edge from node 6 to node 0 with capacity 17,\nan edge from node 6 to node 8 with capacity 13,\nan edge from node 6 to node 10 with capacity 4,\nan edge from node 6 to node 11 with capacity 16,\nan edge from node 7 to node 0 with capacity 4,\nan edge from node 7 to node 8 with capacity 17,\nan edge from node 7 to node 9 with capacity 17,\nan edge from node 7 to node 10 with capacity 20,\nan edge from node 8 to node 6 with capacity 2,\nan edge from node 8 to node 12 with capacity 9,\nan edge from node 8 to node 9 with capacity 12,\nan edge from node 8 to node 4 with capacity 3,\nan edge from node 8 to node 10 with capacity 13,\nan edge from node 8 to node 3 with capacity 15,\nan edge from node 10 to node 7 with capacity 9,\nan edge from node 11 to node 6 with capacity 3,\nan edge from node 12 to node 7 with capacity 12,\nan edge from node 12 to node 5 with capacity 15,\nan edge from node 12 to node 11 with capacity 6,\nWhat is the maximum flow from node 1 to node 6:"
            },
            {
                "from": "gpt",
                "value": "4."
            }
        ]
    },
    {
        "id": "flow-hard-graph776",
        "image": "data/flow/graph_visual/hard/graph776.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 7 with capacity 15,\nan edge from node 0 to node 11 with capacity 4,\nan edge from node 0 to node 15 with capacity 3,\nan edge from node 0 to node 16 with capacity 16,\nan edge from node 0 to node 3 with capacity 16,\nan edge from node 1 to node 11 with capacity 3,\nan edge from node 1 to node 5 with capacity 3,\nan edge from node 1 to node 3 with capacity 2,\nan edge from node 2 to node 8 with capacity 10,\nan edge from node 2 to node 1 with capacity 11,\nan edge from node 2 to node 10 with capacity 20,\nan edge from node 2 to node 4 with capacity 1,\nan edge from node 2 to node 12 with capacity 12,\nan edge from node 3 to node 8 with capacity 7,\nan edge from node 3 to node 6 with capacity 4,\nan edge from node 3 to node 0 with capacity 8,\nan edge from node 3 to node 13 with capacity 12,\nan edge from node 3 to node 16 with capacity 8,\nan edge from node 3 to node 12 with capacity 5,\nan edge from node 4 to node 6 with capacity 11,\nan edge from node 4 to node 10 with capacity 14,\nan edge from node 4 to node 11 with capacity 9,\nan edge from node 4 to node 2 with capacity 3,\nan edge from node 5 to node 8 with capacity 14,\nan edge from node 5 to node 14 with capacity 1,\nan edge from node 5 to node 13 with capacity 17,\nan edge from node 5 to node 2 with capacity 11,\nan edge from node 6 to node 8 with capacity 16,\nan edge from node 6 to node 14 with capacity 9,\nan edge from node 6 to node 12 with capacity 18,\nan edge from node 7 to node 9 with capacity 3,\nan edge from node 7 to node 14 with capacity 12,\nan edge from node 7 to node 3 with capacity 14,\nan edge from node 7 to node 2 with capacity 9,\nan edge from node 8 to node 6 with capacity 13,\nan edge from node 8 to node 1 with capacity 8,\nan edge from node 8 to node 11 with capacity 17,\nan edge from node 8 to node 15 with capacity 2,\nan edge from node 8 to node 4 with capacity 9,\nan edge from node 8 to node 16 with capacity 7,\nan edge from node 8 to node 2 with capacity 13,\nan edge from node 9 to node 16 with capacity 14,\nan edge from node 9 to node 12 with capacity 5,\nan edge from node 10 to node 8 with capacity 20,\nan edge from node 10 to node 1 with capacity 14,\nan edge from node 10 to node 4 with capacity 8,\nan edge from node 11 to node 4 with capacity 2,\nan edge from node 12 to node 1 with capacity 16,\nan edge from node 12 to node 4 with capacity 5,\nan edge from node 13 to node 7 with capacity 20,\nan edge from node 13 to node 9 with capacity 12,\nan edge from node 13 to node 5 with capacity 10,\nan edge from node 13 to node 3 with capacity 11,\nan edge from node 14 to node 7 with capacity 10,\nan edge from node 14 to node 1 with capacity 18,\nan edge from node 14 to node 12 with capacity 19,\nan edge from node 15 to node 8 with capacity 18,\nan edge from node 15 to node 0 with capacity 16,\nan edge from node 15 to node 14 with capacity 11,\nan edge from node 16 to node 0 with capacity 19,\nan edge from node 16 to node 10 with capacity 13,\nan edge from node 16 to node 4 with capacity 3,\nWhat is the maximum flow from node 13 to node 5:"
            },
            {
                "from": "gpt",
                "value": "13."
            }
        ]
    },
    {
        "id": "flow-hard-graph320",
        "image": "data/flow/graph_visual/hard/graph320.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 9 with capacity 17,\nan edge from node 0 to node 2 with capacity 19,\nan edge from node 0 to node 4 with capacity 19,\nan edge from node 0 to node 7 with capacity 1,\nan edge from node 1 to node 9 with capacity 19,\nan edge from node 1 to node 8 with capacity 3,\nan edge from node 2 to node 6 with capacity 7,\nan edge from node 2 to node 8 with capacity 4,\nan edge from node 2 to node 10 with capacity 14,\nan edge from node 2 to node 1 with capacity 11,\nan edge from node 3 to node 5 with capacity 14,\nan edge from node 3 to node 0 with capacity 5,\nan edge from node 3 to node 4 with capacity 11,\nan edge from node 3 to node 10 with capacity 15,\nan edge from node 4 to node 3 with capacity 11,\nan edge from node 4 to node 2 with capacity 10,\nan edge from node 4 to node 1 with capacity 3,\nan edge from node 5 to node 9 with capacity 18,\nan edge from node 5 to node 11 with capacity 18,\nan edge from node 5 to node 12 with capacity 20,\nan edge from node 6 to node 3 with capacity 18,\nan edge from node 6 to node 8 with capacity 16,\nan edge from node 6 to node 2 with capacity 3,\nan edge from node 6 to node 4 with capacity 16,\nan edge from node 7 to node 5 with capacity 7,\nan edge from node 7 to node 0 with capacity 17,\nan edge from node 7 to node 10 with capacity 19,\nan edge from node 9 to node 5 with capacity 8,\nan edge from node 9 to node 2 with capacity 2,\nan edge from node 9 to node 4 with capacity 9,\nan edge from node 9 to node 11 with capacity 5,\nan edge from node 10 to node 6 with capacity 8,\nan edge from node 10 to node 3 with capacity 2,\nan edge from node 10 to node 9 with capacity 14,\nan edge from node 10 to node 2 with capacity 20,\nan edge from node 11 to node 8 with capacity 14,\nan edge from node 11 to node 4 with capacity 19,\nan edge from node 11 to node 7 with capacity 14,\nan edge from node 12 to node 3 with capacity 12,\nan edge from node 12 to node 10 with capacity 15,\nWhat is the maximum flow from node 11 to node 8:"
            },
            {
                "from": "gpt",
                "value": "36."
            }
        ]
    },
    {
        "id": "flow-hard-graph28",
        "image": "data/flow/graph_visual/hard/graph28.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 8 with capacity 7,\nan edge from node 0 to node 10 with capacity 19,\nan edge from node 0 to node 4 with capacity 7,\nan edge from node 0 to node 7 with capacity 1,\nan edge from node 0 to node 3 with capacity 2,\nan edge from node 0 to node 9 with capacity 7,\nan edge from node 1 to node 5 with capacity 11,\nan edge from node 2 to node 10 with capacity 10,\nan edge from node 2 to node 1 with capacity 4,\nan edge from node 3 to node 8 with capacity 4,\nan edge from node 3 to node 1 with capacity 8,\nan edge from node 3 to node 6 with capacity 9,\nan edge from node 3 to node 7 with capacity 9,\nan edge from node 3 to node 5 with capacity 12,\nan edge from node 4 to node 0 with capacity 20,\nan edge from node 4 to node 2 with capacity 7,\nan edge from node 4 to node 7 with capacity 18,\nan edge from node 4 to node 3 with capacity 16,\nan edge from node 5 to node 0 with capacity 1,\nan edge from node 5 to node 4 with capacity 6,\nan edge from node 5 to node 3 with capacity 10,\nan edge from node 6 to node 8 with capacity 8,\nan edge from node 6 to node 1 with capacity 20,\nan edge from node 6 to node 4 with capacity 1,\nan edge from node 6 to node 9 with capacity 2,\nan edge from node 7 to node 9 with capacity 10,\nan edge from node 8 to node 0 with capacity 17,\nan edge from node 9 to node 0 with capacity 3,\nan edge from node 9 to node 2 with capacity 1,\nan edge from node 9 to node 4 with capacity 3,\nan edge from node 10 to node 1 with capacity 12,\nan edge from node 10 to node 2 with capacity 3,\nan edge from node 10 to node 4 with capacity 1,\nan edge from node 10 to node 7 with capacity 13,\nWhat is the maximum flow from node 4 to node 5:"
            },
            {
                "from": "gpt",
                "value": "23."
            }
        ]
    },
    {
        "id": "flow-hard-graph1165",
        "image": "data/flow/graph_visual/hard/graph1165.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 16 with capacity 3,\nan edge from node 0 to node 12 with capacity 4,\nan edge from node 0 to node 17 with capacity 12,\nan edge from node 0 to node 6 with capacity 1,\nan edge from node 0 to node 9 with capacity 12,\nan edge from node 0 to node 13 with capacity 15,\nan edge from node 0 to node 19 with capacity 16,\nan edge from node 0 to node 8 with capacity 5,\nan edge from node 1 to node 3 with capacity 12,\nan edge from node 1 to node 17 with capacity 12,\nan edge from node 1 to node 14 with capacity 4,\nan edge from node 1 to node 13 with capacity 16,\nan edge from node 1 to node 0 with capacity 19,\nan edge from node 1 to node 8 with capacity 19,\nan edge from node 2 to node 17 with capacity 14,\nan edge from node 2 to node 5 with capacity 10,\nan edge from node 2 to node 0 with capacity 4,\nan edge from node 2 to node 8 with capacity 13,\nan edge from node 3 to node 4 with capacity 1,\nan edge from node 4 to node 10 with capacity 2,\nan edge from node 4 to node 1 with capacity 18,\nan edge from node 4 to node 8 with capacity 16,\nan edge from node 5 to node 17 with capacity 1,\nan edge from node 5 to node 7 with capacity 11,\nan edge from node 5 to node 19 with capacity 6,\nan edge from node 6 to node 11 with capacity 9,\nan edge from node 6 to node 10 with capacity 11,\nan edge from node 6 to node 2 with capacity 1,\nan edge from node 7 to node 3 with capacity 17,\nan edge from node 7 to node 14 with capacity 20,\nan edge from node 7 to node 18 with capacity 10,\nan edge from node 7 to node 9 with capacity 11,\nan edge from node 7 to node 0 with capacity 5,\nan edge from node 7 to node 8 with capacity 11,\nan edge from node 8 to node 16 with capacity 3,\nan edge from node 8 to node 6 with capacity 15,\nan edge from node 8 to node 18 with capacity 13,\nan edge from node 8 to node 5 with capacity 18,\nan edge from node 9 to node 11 with capacity 5,\nan edge from node 9 to node 10 with capacity 5,\nan edge from node 9 to node 16 with capacity 7,\nan edge from node 9 to node 14 with capacity 19,\nan edge from node 9 to node 2 with capacity 8,\nan edge from node 9 to node 13 with capacity 16,\nan edge from node 10 to node 18 with capacity 2,\nan edge from node 10 to node 9 with capacity 6,\nan edge from node 10 to node 13 with capacity 2,\nan edge from node 11 to node 1 with capacity 8,\nan edge from node 11 to node 14 with capacity 5,\nan edge from node 11 to node 2 with capacity 16,\nan edge from node 11 to node 13 with capacity 16,\nan edge from node 11 to node 19 with capacity 12,\nan edge from node 12 to node 16 with capacity 14,\nan edge from node 12 to node 9 with capacity 15,\nan edge from node 12 to node 0 with capacity 13,\nan edge from node 13 to node 1 with capacity 17,\nan edge from node 13 to node 2 with capacity 17,\nan edge from node 13 to node 4 with capacity 9,\nan edge from node 13 to node 5 with capacity 1,\nan edge from node 13 to node 15 with capacity 3,\nan edge from node 14 to node 3 with capacity 14,\nan edge from node 14 to node 12 with capacity 10,\nan edge from node 14 to node 1 with capacity 17,\nan edge from node 14 to node 18 with capacity 9,\nan edge from node 14 to node 19 with capacity 14,\nan edge from node 15 to node 3 with capacity 6,\nan edge from node 15 to node 1 with capacity 11,\nan edge from node 15 to node 18 with capacity 2,\nan edge from node 15 to node 5 with capacity 18,\nan edge from node 15 to node 19 with capacity 1,\nan edge from node 16 to node 4 with capacity 9,\nan edge from node 16 to node 19 with capacity 1,\nan edge from node 16 to node 0 with capacity 6,\nan edge from node 17 to node 12 with capacity 2,\nan edge from node 17 to node 2 with capacity 2,\nan edge from node 17 to node 18 with capacity 15,\nan edge from node 17 to node 4 with capacity 19,\nan edge from node 18 to node 10 with capacity 18,\nan edge from node 18 to node 16 with capacity 16,\nan edge from node 18 to node 0 with capacity 16,\nan edge from node 18 to node 8 with capacity 2,\nan edge from node 19 to node 10 with capacity 17,\nan edge from node 19 to node 16 with capacity 20,\nan edge from node 19 to node 17 with capacity 3,\nan edge from node 19 to node 2 with capacity 1,\nan edge from node 19 to node 9 with capacity 17,\nWhat is the maximum flow from node 10 to node 6:"
            },
            {
                "from": "gpt",
                "value": "10."
            }
        ]
    },
    {
        "id": "flow-hard-graph1061",
        "image": "data/flow/graph_visual/hard/graph1061.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 15 with capacity 11,\nan edge from node 0 to node 5 with capacity 18,\nan edge from node 0 to node 18 with capacity 17,\nan edge from node 0 to node 12 with capacity 8,\nan edge from node 0 to node 6 with capacity 15,\nan edge from node 0 to node 13 with capacity 8,\nan edge from node 1 to node 2 with capacity 4,\nan edge from node 1 to node 12 with capacity 17,\nan edge from node 1 to node 4 with capacity 4,\nan edge from node 1 to node 13 with capacity 2,\nan edge from node 1 to node 0 with capacity 9,\nan edge from node 2 to node 5 with capacity 15,\nan edge from node 2 to node 12 with capacity 2,\nan edge from node 2 to node 8 with capacity 13,\nan edge from node 2 to node 13 with capacity 15,\nan edge from node 3 to node 10 with capacity 4,\nan edge from node 3 to node 16 with capacity 18,\nan edge from node 3 to node 8 with capacity 8,\nan edge from node 3 to node 1 with capacity 12,\nan edge from node 4 to node 17 with capacity 10,\nan edge from node 4 to node 15 with capacity 14,\nan edge from node 4 to node 2 with capacity 11,\nan edge from node 4 to node 3 with capacity 7,\nan edge from node 4 to node 14 with capacity 12,\nan edge from node 4 to node 12 with capacity 8,\nan edge from node 4 to node 0 with capacity 18,\nan edge from node 5 to node 17 with capacity 11,\nan edge from node 5 to node 15 with capacity 20,\nan edge from node 5 to node 9 with capacity 5,\nan edge from node 5 to node 2 with capacity 12,\nan edge from node 5 to node 13 with capacity 5,\nan edge from node 6 to node 9 with capacity 8,\nan edge from node 6 to node 1 with capacity 13,\nan edge from node 6 to node 13 with capacity 2,\nan edge from node 6 to node 0 with capacity 19,\nan edge from node 7 to node 14 with capacity 16,\nan edge from node 7 to node 11 with capacity 10,\nan edge from node 7 to node 16 with capacity 17,\nan edge from node 7 to node 8 with capacity 11,\nan edge from node 7 to node 13 with capacity 10,\nan edge from node 7 to node 0 with capacity 12,\nan edge from node 8 to node 9 with capacity 6,\nan edge from node 9 to node 17 with capacity 15,\nan edge from node 9 to node 2 with capacity 11,\nan edge from node 9 to node 3 with capacity 16,\nan edge from node 9 to node 14 with capacity 12,\nan edge from node 9 to node 4 with capacity 3,\nan edge from node 9 to node 6 with capacity 1,\nan edge from node 9 to node 13 with capacity 9,\nan edge from node 9 to node 0 with capacity 13,\nan edge from node 10 to node 17 with capacity 1,\nan edge from node 10 to node 16 with capacity 8,\nan edge from node 10 to node 8 with capacity 9,\nan edge from node 10 to node 1 with capacity 14,\nan edge from node 11 to node 2 with capacity 13,\nan edge from node 11 to node 14 with capacity 6,\nan edge from node 11 to node 8 with capacity 14,\nan edge from node 12 to node 3 with capacity 10,\nan edge from node 12 to node 11 with capacity 13,\nan edge from node 12 to node 13 with capacity 19,\nan edge from node 12 to node 0 with capacity 1,\nan edge from node 13 to node 9 with capacity 7,\nan edge from node 13 to node 11 with capacity 18,\nan edge from node 13 to node 7 with capacity 17,\nan edge from node 13 to node 6 with capacity 2,\nan edge from node 13 to node 0 with capacity 14,\nan edge from node 14 to node 15 with capacity 17,\nan edge from node 15 to node 5 with capacity 5,\nan edge from node 15 to node 14 with capacity 1,\nan edge from node 15 to node 12 with capacity 10,\nan edge from node 16 to node 10 with capacity 6,\nan edge from node 16 to node 17 with capacity 1,\nan edge from node 16 to node 15 with capacity 2,\nan edge from node 16 to node 18 with capacity 17,\nan edge from node 16 to node 2 with capacity 19,\nan edge from node 16 to node 12 with capacity 2,\nan edge from node 16 to node 1 with capacity 12,\nan edge from node 17 to node 15 with capacity 4,\nan edge from node 17 to node 18 with capacity 14,\nan edge from node 17 to node 2 with capacity 2,\nan edge from node 17 to node 1 with capacity 17,\nan edge from node 17 to node 13 with capacity 20,\nan edge from node 17 to node 0 with capacity 17,\nan edge from node 18 to node 17 with capacity 15,\nan edge from node 18 to node 3 with capacity 4,\nan edge from node 18 to node 12 with capacity 8,\nan edge from node 18 to node 7 with capacity 11,\nan edge from node 18 to node 13 with capacity 9,\nWhat is the maximum flow from node 17 to node 5:"
            },
            {
                "from": "gpt",
                "value": "38."
            }
        ]
    },
    {
        "id": "flow-hard-graph923",
        "image": "data/flow/graph_visual/hard/graph923.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 9 with capacity 4,\nan edge from node 0 to node 13 with capacity 18,\nan edge from node 0 to node 7 with capacity 5,\nan edge from node 0 to node 16 with capacity 20,\nan edge from node 0 to node 5 with capacity 7,\nan edge from node 0 to node 4 with capacity 1,\nan edge from node 1 to node 13 with capacity 8,\nan edge from node 1 to node 6 with capacity 19,\nan edge from node 1 to node 15 with capacity 18,\nan edge from node 1 to node 14 with capacity 10,\nan edge from node 1 to node 3 with capacity 19,\nan edge from node 1 to node 10 with capacity 10,\nan edge from node 1 to node 4 with capacity 9,\nan edge from node 2 to node 0 with capacity 5,\nan edge from node 2 to node 13 with capacity 20,\nan edge from node 2 to node 6 with capacity 16,\nan edge from node 2 to node 14 with capacity 10,\nan edge from node 2 to node 8 with capacity 8,\nan edge from node 3 to node 9 with capacity 7,\nan edge from node 3 to node 2 with capacity 14,\nan edge from node 3 to node 1 with capacity 17,\nan edge from node 4 to node 0 with capacity 5,\nan edge from node 4 to node 10 with capacity 2,\nan edge from node 5 to node 0 with capacity 14,\nan edge from node 5 to node 7 with capacity 15,\nan edge from node 6 to node 2 with capacity 20,\nan edge from node 6 to node 15 with capacity 8,\nan edge from node 6 to node 14 with capacity 1,\nan edge from node 6 to node 16 with capacity 19,\nan edge from node 6 to node 4 with capacity 11,\nan edge from node 7 to node 16 with capacity 7,\nan edge from node 7 to node 1 with capacity 19,\nan edge from node 8 to node 14 with capacity 8,\nan edge from node 8 to node 11 with capacity 5,\nan edge from node 8 to node 4 with capacity 8,\nan edge from node 9 to node 15 with capacity 18,\nan edge from node 9 to node 14 with capacity 2,\nan edge from node 9 to node 11 with capacity 3,\nan edge from node 9 to node 3 with capacity 15,\nan edge from node 9 to node 17 with capacity 14,\nan edge from node 10 to node 13 with capacity 16,\nan edge from node 10 to node 7 with capacity 17,\nan edge from node 10 to node 6 with capacity 3,\nan edge from node 10 to node 14 with capacity 2,\nan edge from node 10 to node 8 with capacity 8,\nan edge from node 10 to node 16 with capacity 12,\nan edge from node 10 to node 17 with capacity 9,\nan edge from node 11 to node 9 with capacity 9,\nan edge from node 11 to node 13 with capacity 20,\nan edge from node 11 to node 15 with capacity 8,\nan edge from node 11 to node 3 with capacity 13,\nan edge from node 12 to node 9 with capacity 5,\nan edge from node 12 to node 2 with capacity 2,\nan edge from node 12 to node 14 with capacity 6,\nan edge from node 13 to node 0 with capacity 9,\nan edge from node 13 to node 6 with capacity 8,\nan edge from node 13 to node 10 with capacity 19,\nan edge from node 13 to node 17 with capacity 7,\nan edge from node 14 to node 0 with capacity 20,\nan edge from node 14 to node 6 with capacity 14,\nan edge from node 14 to node 1 with capacity 3,\nan edge from node 15 to node 6 with capacity 13,\nan edge from node 15 to node 11 with capacity 4,\nan edge from node 15 to node 12 with capacity 8,\nan edge from node 16 to node 0 with capacity 11,\nan edge from node 16 to node 13 with capacity 16,\nan edge from node 16 to node 10 with capacity 3,\nan edge from node 16 to node 1 with capacity 20,\nan edge from node 17 to node 9 with capacity 1,\nan edge from node 17 to node 0 with capacity 2,\nan edge from node 17 to node 6 with capacity 15,\nan edge from node 17 to node 15 with capacity 10,\nWhat is the maximum flow from node 13 to node 12:"
            },
            {
                "from": "gpt",
                "value": "8."
            }
        ]
    },
    {
        "id": "flow-hard-graph947",
        "image": "data/flow/graph_visual/hard/graph947.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 11 with capacity 3,\nan edge from node 0 to node 8 with capacity 8,\nan edge from node 0 to node 10 with capacity 19,\nan edge from node 0 to node 13 with capacity 1,\nan edge from node 1 to node 11 with capacity 12,\nan edge from node 1 to node 0 with capacity 3,\nan edge from node 1 to node 13 with capacity 2,\nan edge from node 1 to node 12 with capacity 7,\nan edge from node 1 to node 17 with capacity 4,\nan edge from node 2 to node 3 with capacity 13,\nan edge from node 2 to node 0 with capacity 1,\nan edge from node 2 to node 6 with capacity 19,\nan edge from node 2 to node 17 with capacity 13,\nan edge from node 3 to node 2 with capacity 10,\nan edge from node 3 to node 9 with capacity 18,\nan edge from node 3 to node 7 with capacity 18,\nan edge from node 3 to node 12 with capacity 1,\nan edge from node 4 to node 5 with capacity 16,\nan edge from node 4 to node 2 with capacity 3,\nan edge from node 4 to node 0 with capacity 16,\nan edge from node 4 to node 9 with capacity 16,\nan edge from node 4 to node 10 with capacity 15,\nan edge from node 4 to node 7 with capacity 6,\nan edge from node 4 to node 17 with capacity 14,\nan edge from node 5 to node 2 with capacity 9,\nan edge from node 5 to node 8 with capacity 5,\nan edge from node 5 to node 14 with capacity 5,\nan edge from node 5 to node 9 with capacity 17,\nan edge from node 6 to node 5 with capacity 17,\nan edge from node 6 to node 14 with capacity 3,\nan edge from node 6 to node 3 with capacity 2,\nan edge from node 6 to node 0 with capacity 4,\nan edge from node 6 to node 10 with capacity 1,\nan edge from node 6 to node 4 with capacity 1,\nan edge from node 6 to node 12 with capacity 16,\nan edge from node 7 to node 5 with capacity 6,\nan edge from node 7 to node 8 with capacity 11,\nan edge from node 7 to node 3 with capacity 13,\nan edge from node 7 to node 13 with capacity 13,\nan edge from node 8 to node 11 with capacity 12,\nan edge from node 8 to node 6 with capacity 6,\nan edge from node 8 to node 7 with capacity 5,\nan edge from node 8 to node 17 with capacity 13,\nan edge from node 9 to node 5 with capacity 10,\nan edge from node 9 to node 2 with capacity 1,\nan edge from node 9 to node 8 with capacity 18,\nan edge from node 9 to node 14 with capacity 19,\nan edge from node 9 to node 0 with capacity 10,\nan edge from node 9 to node 13 with capacity 10,\nan edge from node 9 to node 12 with capacity 14,\nan edge from node 10 to node 16 with capacity 7,\nan edge from node 10 to node 5 with capacity 7,\nan edge from node 10 to node 6 with capacity 5,\nan edge from node 10 to node 12 with capacity 4,\nan edge from node 11 to node 8 with capacity 20,\nan edge from node 11 to node 14 with capacity 15,\nan edge from node 11 to node 0 with capacity 4,\nan edge from node 11 to node 13 with capacity 17,\nan edge from node 11 to node 4 with capacity 19,\nan edge from node 11 to node 12 with capacity 14,\nan edge from node 12 to node 1 with capacity 4,\nan edge from node 12 to node 14 with capacity 18,\nan edge from node 12 to node 15 with capacity 18,\nan edge from node 12 to node 10 with capacity 18,\nan edge from node 13 to node 16 with capacity 14,\nan edge from node 13 to node 5 with capacity 17,\nan edge from node 13 to node 11 with capacity 18,\nan edge from node 13 to node 3 with capacity 12,\nan edge from node 13 to node 10 with capacity 13,\nan edge from node 14 to node 1 with capacity 16,\nan edge from node 14 to node 2 with capacity 10,\nan edge from node 14 to node 3 with capacity 4,\nan edge from node 14 to node 9 with capacity 20,\nan edge from node 14 to node 15 with capacity 17,\nan edge from node 15 to node 11 with capacity 5,\nan edge from node 15 to node 13 with capacity 16,\nan edge from node 15 to node 4 with capacity 6,\nan edge from node 15 to node 17 with capacity 11,\nan edge from node 16 to node 5 with capacity 19,\nan edge from node 16 to node 14 with capacity 12,\nan edge from node 16 to node 0 with capacity 17,\nan edge from node 17 to node 16 with capacity 1,\nan edge from node 17 to node 5 with capacity 20,\nan edge from node 17 to node 9 with capacity 13,\nan edge from node 17 to node 15 with capacity 8,\nan edge from node 17 to node 13 with capacity 8,\nWhat is the maximum flow from node 15 to node 1:"
            },
            {
                "from": "gpt",
                "value": "20."
            }
        ]
    },
    {
        "id": "flow-hard-graph934",
        "image": "data/flow/graph_visual/hard/graph934.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 11 with capacity 2,\nan edge from node 0 to node 16 with capacity 19,\nan edge from node 0 to node 17 with capacity 6,\nan edge from node 1 to node 0 with capacity 1,\nan edge from node 1 to node 16 with capacity 1,\nan edge from node 1 to node 4 with capacity 7,\nan edge from node 1 to node 6 with capacity 20,\nan edge from node 1 to node 10 with capacity 13,\nan edge from node 2 to node 8 with capacity 6,\nan edge from node 2 to node 3 with capacity 12,\nan edge from node 3 to node 11 with capacity 17,\nan edge from node 3 to node 7 with capacity 18,\nan edge from node 3 to node 6 with capacity 12,\nan edge from node 3 to node 14 with capacity 20,\nan edge from node 4 to node 5 with capacity 16,\nan edge from node 4 to node 2 with capacity 9,\nan edge from node 4 to node 0 with capacity 17,\nan edge from node 4 to node 11 with capacity 14,\nan edge from node 4 to node 13 with capacity 11,\nan edge from node 4 to node 12 with capacity 5,\nan edge from node 4 to node 9 with capacity 1,\nan edge from node 4 to node 6 with capacity 12,\nan edge from node 4 to node 10 with capacity 4,\nan edge from node 4 to node 14 with capacity 11,\nan edge from node 5 to node 12 with capacity 14,\nan edge from node 5 to node 1 with capacity 11,\nan edge from node 5 to node 3 with capacity 16,\nan edge from node 5 to node 6 with capacity 11,\nan edge from node 6 to node 2 with capacity 6,\nan edge from node 6 to node 13 with capacity 18,\nan edge from node 6 to node 15 with capacity 9,\nan edge from node 6 to node 14 with capacity 1,\nan edge from node 7 to node 8 with capacity 6,\nan edge from node 7 to node 2 with capacity 20,\nan edge from node 7 to node 11 with capacity 18,\nan edge from node 8 to node 5 with capacity 4,\nan edge from node 8 to node 11 with capacity 2,\nan edge from node 8 to node 3 with capacity 9,\nan edge from node 8 to node 9 with capacity 14,\nan edge from node 9 to node 0 with capacity 12,\nan edge from node 9 to node 11 with capacity 6,\nan edge from node 9 to node 12 with capacity 14,\nan edge from node 9 to node 1 with capacity 16,\nan edge from node 9 to node 10 with capacity 19,\nan edge from node 10 to node 16 with capacity 10,\nan edge from node 10 to node 3 with capacity 16,\nan edge from node 11 to node 13 with capacity 2,\nan edge from node 11 to node 12 with capacity 6,\nan edge from node 11 to node 3 with capacity 15,\nan edge from node 11 to node 9 with capacity 4,\nan edge from node 11 to node 4 with capacity 15,\nan edge from node 11 to node 14 with capacity 8,\nan edge from node 12 to node 11 with capacity 12,\nan edge from node 12 to node 7 with capacity 13,\nan edge from node 12 to node 3 with capacity 7,\nan edge from node 12 to node 14 with capacity 1,\nan edge from node 13 to node 5 with capacity 18,\nan edge from node 13 to node 0 with capacity 4,\nan edge from node 13 to node 7 with capacity 2,\nan edge from node 13 to node 16 with capacity 4,\nan edge from node 13 to node 3 with capacity 9,\nan edge from node 13 to node 17 with capacity 10,\nan edge from node 13 to node 6 with capacity 9,\nan edge from node 14 to node 13 with capacity 10,\nan edge from node 14 to node 12 with capacity 2,\nan edge from node 14 to node 3 with capacity 11,\nan edge from node 14 to node 4 with capacity 19,\nan edge from node 15 to node 7 with capacity 11,\nan edge from node 15 to node 12 with capacity 2,\nan edge from node 15 to node 3 with capacity 17,\nan edge from node 15 to node 10 with capacity 3,\nan edge from node 16 to node 12 with capacity 10,\nan edge from node 16 to node 17 with capacity 18,\nan edge from node 16 to node 4 with capacity 8,\nan edge from node 16 to node 10 with capacity 15,\nan edge from node 16 to node 14 with capacity 8,\nan edge from node 17 to node 5 with capacity 10,\nan edge from node 17 to node 2 with capacity 19,\nan edge from node 17 to node 0 with capacity 6,\nan edge from node 17 to node 16 with capacity 14,\nWhat is the maximum flow from node 11 to node 10:"
            },
            {
                "from": "gpt",
                "value": "50."
            }
        ]
    },
    {
        "id": "flow-hard-graph894",
        "image": "data/flow/graph_visual/hard/graph894.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 3 with capacity 19,\nan edge from node 0 to node 4 with capacity 20,\nan edge from node 0 to node 10 with capacity 11,\nan edge from node 0 to node 15 with capacity 13,\nan edge from node 0 to node 5 with capacity 15,\nan edge from node 0 to node 17 with capacity 14,\nan edge from node 1 to node 6 with capacity 15,\nan edge from node 1 to node 3 with capacity 16,\nan edge from node 1 to node 12 with capacity 14,\nan edge from node 1 to node 14 with capacity 12,\nan edge from node 1 to node 5 with capacity 17,\nan edge from node 1 to node 17 with capacity 4,\nan edge from node 2 to node 11 with capacity 7,\nan edge from node 2 to node 6 with capacity 7,\nan edge from node 2 to node 15 with capacity 7,\nan edge from node 2 to node 16 with capacity 10,\nan edge from node 2 to node 5 with capacity 19,\nan edge from node 3 to node 11 with capacity 11,\nan edge from node 3 to node 6 with capacity 6,\nan edge from node 3 to node 4 with capacity 5,\nan edge from node 3 to node 1 with capacity 7,\nan edge from node 3 to node 10 with capacity 6,\nan edge from node 3 to node 5 with capacity 13,\nan edge from node 4 to node 13 with capacity 2,\nan edge from node 4 to node 3 with capacity 6,\nan edge from node 4 to node 0 with capacity 17,\nan edge from node 4 to node 10 with capacity 1,\nan edge from node 4 to node 8 with capacity 2,\nan edge from node 4 to node 9 with capacity 5,\nan edge from node 5 to node 0 with capacity 6,\nan edge from node 5 to node 9 with capacity 11,\nan edge from node 6 to node 1 with capacity 3,\nan edge from node 6 to node 10 with capacity 3,\nan edge from node 7 to node 10 with capacity 8,\nan edge from node 7 to node 8 with capacity 2,\nan edge from node 7 to node 5 with capacity 13,\nan edge from node 8 to node 14 with capacity 9,\nan edge from node 8 to node 15 with capacity 11,\nan edge from node 8 to node 17 with capacity 16,\nan edge from node 9 to node 6 with capacity 14,\nan edge from node 9 to node 4 with capacity 16,\nan edge from node 9 to node 1 with capacity 3,\nan edge from node 9 to node 8 with capacity 8,\nan edge from node 9 to node 12 with capacity 14,\nan edge from node 9 to node 16 with capacity 11,\nan edge from node 9 to node 5 with capacity 9,\nan edge from node 10 to node 9 with capacity 15,\nan edge from node 11 to node 13 with capacity 18,\nan edge from node 11 to node 4 with capacity 3,\nan edge from node 11 to node 10 with capacity 17,\nan edge from node 11 to node 7 with capacity 15,\nan edge from node 11 to node 9 with capacity 11,\nan edge from node 11 to node 15 with capacity 13,\nan edge from node 11 to node 16 with capacity 14,\nan edge from node 11 to node 5 with capacity 1,\nan edge from node 12 to node 13 with capacity 13,\nan edge from node 12 to node 8 with capacity 8,\nan edge from node 12 to node 16 with capacity 3,\nan edge from node 12 to node 5 with capacity 18,\nan edge from node 13 to node 8 with capacity 18,\nan edge from node 13 to node 7 with capacity 7,\nan edge from node 13 to node 16 with capacity 19,\nan edge from node 14 to node 0 with capacity 19,\nan edge from node 14 to node 2 with capacity 8,\nan edge from node 14 to node 7 with capacity 10,\nan edge from node 14 to node 15 with capacity 1,\nan edge from node 14 to node 16 with capacity 13,\nan edge from node 16 to node 13 with capacity 5,\nan edge from node 16 to node 0 with capacity 9,\nan edge from node 16 to node 1 with capacity 11,\nan edge from node 16 to node 2 with capacity 8,\nan edge from node 16 to node 10 with capacity 8,\nan edge from node 16 to node 12 with capacity 15,\nan edge from node 16 to node 14 with capacity 19,\nan edge from node 16 to node 15 with capacity 16,\nan edge from node 17 to node 11 with capacity 11,\nan edge from node 17 to node 2 with capacity 1,\nan edge from node 17 to node 7 with capacity 17,\nan edge from node 17 to node 9 with capacity 8,\nan edge from node 17 to node 12 with capacity 4,\nan edge from node 17 to node 14 with capacity 2,\nWhat is the maximum flow from node 1 to node 8:"
            },
            {
                "from": "gpt",
                "value": "38."
            }
        ]
    },
    {
        "id": "flow-hard-graph1002",
        "image": "data/flow/graph_visual/hard/graph1002.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 16 with capacity 4,\nan edge from node 0 to node 4 with capacity 7,\nan edge from node 1 to node 11 with capacity 5,\nan edge from node 1 to node 14 with capacity 7,\nan edge from node 1 to node 3 with capacity 7,\nan edge from node 1 to node 13 with capacity 5,\nan edge from node 1 to node 15 with capacity 2,\nan edge from node 1 to node 7 with capacity 17,\nan edge from node 2 to node 4 with capacity 7,\nan edge from node 2 to node 13 with capacity 7,\nan edge from node 2 to node 7 with capacity 4,\nan edge from node 3 to node 11 with capacity 2,\nan edge from node 3 to node 1 with capacity 8,\nan edge from node 3 to node 4 with capacity 15,\nan edge from node 3 to node 2 with capacity 3,\nan edge from node 3 to node 5 with capacity 18,\nan edge from node 4 to node 9 with capacity 16,\nan edge from node 4 to node 1 with capacity 3,\nan edge from node 4 to node 8 with capacity 6,\nan edge from node 4 to node 5 with capacity 1,\nan edge from node 4 to node 6 with capacity 12,\nan edge from node 4 to node 15 with capacity 3,\nan edge from node 5 to node 9 with capacity 16,\nan edge from node 5 to node 16 with capacity 7,\nan edge from node 5 to node 8 with capacity 17,\nan edge from node 5 to node 6 with capacity 6,\nan edge from node 5 to node 7 with capacity 14,\nan edge from node 6 to node 9 with capacity 13,\nan edge from node 6 to node 16 with capacity 6,\nan edge from node 6 to node 14 with capacity 3,\nan edge from node 6 to node 4 with capacity 6,\nan edge from node 6 to node 3 with capacity 5,\nan edge from node 6 to node 15 with capacity 12,\nan edge from node 6 to node 17 with capacity 7,\nan edge from node 7 to node 11 with capacity 20,\nan edge from node 7 to node 14 with capacity 6,\nan edge from node 7 to node 5 with capacity 19,\nan edge from node 7 to node 13 with capacity 3,\nan edge from node 8 to node 12 with capacity 1,\nan edge from node 8 to node 10 with capacity 15,\nan edge from node 8 to node 4 with capacity 5,\nan edge from node 8 to node 3 with capacity 18,\nan edge from node 9 to node 12 with capacity 14,\nan edge from node 9 to node 1 with capacity 2,\nan edge from node 9 to node 13 with capacity 4,\nan edge from node 10 to node 18 with capacity 11,\nan edge from node 10 to node 0 with capacity 6,\nan edge from node 10 to node 16 with capacity 8,\nan edge from node 10 to node 1 with capacity 12,\nan edge from node 10 to node 4 with capacity 3,\nan edge from node 10 to node 2 with capacity 13,\nan edge from node 10 to node 5 with capacity 6,\nan edge from node 10 to node 6 with capacity 7,\nan edge from node 10 to node 3 with capacity 13,\nan edge from node 11 to node 12 with capacity 17,\nan edge from node 11 to node 14 with capacity 13,\nan edge from node 11 to node 5 with capacity 20,\nan edge from node 11 to node 6 with capacity 11,\nan edge from node 11 to node 15 with capacity 14,\nan edge from node 11 to node 17 with capacity 15,\nan edge from node 12 to node 0 with capacity 17,\nan edge from node 12 to node 10 with capacity 18,\nan edge from node 12 to node 5 with capacity 10,\nan edge from node 12 to node 13 with capacity 1,\nan edge from node 13 to node 9 with capacity 7,\nan edge from node 13 to node 8 with capacity 4,\nan edge from node 13 to node 10 with capacity 4,\nan edge from node 14 to node 18 with capacity 14,\nan edge from node 14 to node 8 with capacity 11,\nan edge from node 14 to node 3 with capacity 11,\nan edge from node 14 to node 15 with capacity 16,\nan edge from node 14 to node 17 with capacity 14,\nan edge from node 15 to node 1 with capacity 18,\nan edge from node 15 to node 6 with capacity 11,\nan edge from node 16 to node 11 with capacity 14,\nan edge from node 16 to node 18 with capacity 1,\nan edge from node 16 to node 5 with capacity 9,\nan edge from node 16 to node 6 with capacity 14,\nan edge from node 16 to node 15 with capacity 4,\nan edge from node 16 to node 7 with capacity 11,\nan edge from node 17 to node 9 with capacity 5,\nan edge from node 17 to node 12 with capacity 12,\nan edge from node 17 to node 4 with capacity 4,\nan edge from node 17 to node 5 with capacity 8,\nan edge from node 17 to node 3 with capacity 3,\nan edge from node 17 to node 15 with capacity 7,\nan edge from node 18 to node 9 with capacity 18,\nan edge from node 18 to node 1 with capacity 7,\nan edge from node 18 to node 10 with capacity 16,\nan edge from node 18 to node 2 with capacity 17,\nan edge from node 18 to node 5 with capacity 16,\nan edge from node 18 to node 13 with capacity 11,\nan edge from node 18 to node 17 with capacity 14,\nWhat is the maximum flow from node 9 to node 6:"
            },
            {
                "from": "gpt",
                "value": "20."
            }
        ]
    },
    {
        "id": "flow-hard-graph345",
        "image": "data/flow/graph_visual/hard/graph345.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 11 with capacity 14,\nan edge from node 0 to node 2 with capacity 11,\nan edge from node 0 to node 1 with capacity 20,\nan edge from node 0 to node 3 with capacity 3,\nan edge from node 1 to node 11 with capacity 18,\nan edge from node 1 to node 12 with capacity 16,\nan edge from node 1 to node 2 with capacity 19,\nan edge from node 2 to node 5 with capacity 5,\nan edge from node 3 to node 8 with capacity 3,\nan edge from node 3 to node 10 with capacity 8,\nan edge from node 3 to node 1 with capacity 12,\nan edge from node 3 to node 5 with capacity 2,\nan edge from node 4 to node 2 with capacity 17,\nan edge from node 4 to node 5 with capacity 2,\nan edge from node 4 to node 7 with capacity 13,\nan edge from node 5 to node 8 with capacity 5,\nan edge from node 5 to node 9 with capacity 9,\nan edge from node 5 to node 1 with capacity 11,\nan edge from node 5 to node 4 with capacity 1,\nan edge from node 6 to node 5 with capacity 7,\nan edge from node 6 to node 7 with capacity 13,\nan edge from node 7 to node 10 with capacity 18,\nan edge from node 7 to node 0 with capacity 7,\nan edge from node 7 to node 12 with capacity 12,\nan edge from node 7 to node 1 with capacity 16,\nan edge from node 7 to node 4 with capacity 15,\nan edge from node 7 to node 3 with capacity 20,\nan edge from node 8 to node 2 with capacity 10,\nan edge from node 9 to node 8 with capacity 5,\nan edge from node 9 to node 12 with capacity 6,\nan edge from node 10 to node 9 with capacity 19,\nan edge from node 10 to node 2 with capacity 11,\nan edge from node 10 to node 6 with capacity 9,\nan edge from node 11 to node 9 with capacity 7,\nan edge from node 11 to node 12 with capacity 13,\nan edge from node 11 to node 5 with capacity 6,\nan edge from node 11 to node 7 with capacity 6,\nan edge from node 12 to node 8 with capacity 2,\nan edge from node 12 to node 0 with capacity 6,\nan edge from node 12 to node 2 with capacity 3,\nan edge from node 12 to node 1 with capacity 20,\nWhat is the maximum flow from node 5 to node 6:"
            },
            {
                "from": "gpt",
                "value": "9."
            }
        ]
    },
    {
        "id": "flow-hard-graph468",
        "image": "data/flow/graph_visual/hard/graph468.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 13 with capacity 12,\nan edge from node 0 to node 2 with capacity 2,\nan edge from node 0 to node 8 with capacity 7,\nan edge from node 0 to node 10 with capacity 17,\nan edge from node 1 to node 2 with capacity 2,\nan edge from node 1 to node 12 with capacity 7,\nan edge from node 2 to node 4 with capacity 1,\nan edge from node 2 to node 7 with capacity 4,\nan edge from node 4 to node 13 with capacity 8,\nan edge from node 4 to node 1 with capacity 18,\nan edge from node 4 to node 9 with capacity 11,\nan edge from node 4 to node 6 with capacity 9,\nan edge from node 4 to node 0 with capacity 5,\nan edge from node 4 to node 10 with capacity 10,\nan edge from node 4 to node 5 with capacity 10,\nan edge from node 5 to node 1 with capacity 13,\nan edge from node 5 to node 9 with capacity 14,\nan edge from node 5 to node 0 with capacity 20,\nan edge from node 5 to node 10 with capacity 7,\nan edge from node 6 to node 13 with capacity 19,\nan edge from node 7 to node 13 with capacity 19,\nan edge from node 7 to node 9 with capacity 12,\nan edge from node 7 to node 6 with capacity 12,\nan edge from node 7 to node 2 with capacity 8,\nan edge from node 7 to node 8 with capacity 3,\nan edge from node 8 to node 1 with capacity 13,\nan edge from node 8 to node 9 with capacity 18,\nan edge from node 8 to node 0 with capacity 15,\nan edge from node 9 to node 4 with capacity 10,\nan edge from node 9 to node 0 with capacity 18,\nan edge from node 10 to node 13 with capacity 5,\nan edge from node 10 to node 6 with capacity 5,\nan edge from node 10 to node 12 with capacity 18,\nan edge from node 10 to node 0 with capacity 4,\nan edge from node 11 to node 13 with capacity 11,\nan edge from node 11 to node 9 with capacity 3,\nan edge from node 11 to node 2 with capacity 4,\nan edge from node 11 to node 4 with capacity 6,\nan edge from node 11 to node 7 with capacity 10,\nan edge from node 12 to node 2 with capacity 4,\nan edge from node 12 to node 0 with capacity 16,\nan edge from node 13 to node 2 with capacity 6,\nan edge from node 13 to node 5 with capacity 4,\nWhat is the maximum flow from node 7 to node 9:"
            },
            {
                "from": "gpt",
                "value": "20."
            }
        ]
    },
    {
        "id": "flow-hard-graph748",
        "image": "data/flow/graph_visual/hard/graph748.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 2 with capacity 2,\nan edge from node 0 to node 15 with capacity 20,\nan edge from node 0 to node 3 with capacity 7,\nan edge from node 1 to node 2 with capacity 7,\nan edge from node 1 to node 5 with capacity 18,\nan edge from node 1 to node 16 with capacity 13,\nan edge from node 2 to node 5 with capacity 17,\nan edge from node 2 to node 8 with capacity 4,\nan edge from node 2 to node 16 with capacity 7,\nan edge from node 3 to node 5 with capacity 9,\nan edge from node 3 to node 8 with capacity 9,\nan edge from node 4 to node 13 with capacity 9,\nan edge from node 5 to node 6 with capacity 9,\nan edge from node 5 to node 2 with capacity 20,\nan edge from node 5 to node 13 with capacity 9,\nan edge from node 5 to node 9 with capacity 17,\nan edge from node 5 to node 15 with capacity 17,\nan edge from node 5 to node 8 with capacity 8,\nan edge from node 6 to node 5 with capacity 18,\nan edge from node 6 to node 1 with capacity 19,\nan edge from node 7 to node 12 with capacity 11,\nan edge from node 7 to node 1 with capacity 8,\nan edge from node 8 to node 13 with capacity 10,\nan edge from node 8 to node 9 with capacity 14,\nan edge from node 8 to node 1 with capacity 16,\nan edge from node 8 to node 10 with capacity 12,\nan edge from node 8 to node 11 with capacity 18,\nan edge from node 9 to node 12 with capacity 13,\nan edge from node 9 to node 5 with capacity 9,\nan edge from node 9 to node 16 with capacity 10,\nan edge from node 10 to node 7 with capacity 1,\nan edge from node 10 to node 2 with capacity 12,\nan edge from node 10 to node 11 with capacity 5,\nan edge from node 11 to node 7 with capacity 5,\nan edge from node 11 to node 9 with capacity 13,\nan edge from node 11 to node 1 with capacity 1,\nan edge from node 11 to node 8 with capacity 20,\nan edge from node 12 to node 7 with capacity 4,\nan edge from node 12 to node 2 with capacity 15,\nan edge from node 12 to node 5 with capacity 9,\nan edge from node 12 to node 9 with capacity 17,\nan edge from node 12 to node 16 with capacity 7,\nan edge from node 13 to node 8 with capacity 19,\nan edge from node 13 to node 3 with capacity 13,\nan edge from node 14 to node 6 with capacity 7,\nan edge from node 14 to node 7 with capacity 3,\nan edge from node 14 to node 2 with capacity 19,\nan edge from node 14 to node 12 with capacity 4,\nan edge from node 14 to node 15 with capacity 5,\nan edge from node 14 to node 10 with capacity 11,\nan edge from node 15 to node 2 with capacity 16,\nan edge from node 15 to node 5 with capacity 18,\nan edge from node 15 to node 0 with capacity 4,\nan edge from node 15 to node 1 with capacity 11,\nan edge from node 15 to node 8 with capacity 20,\nan edge from node 16 to node 6 with capacity 10,\nan edge from node 16 to node 13 with capacity 19,\nan edge from node 16 to node 5 with capacity 14,\nan edge from node 16 to node 0 with capacity 13,\nan edge from node 16 to node 9 with capacity 7,\nan edge from node 16 to node 1 with capacity 16,\nan edge from node 16 to node 11 with capacity 3,\nWhat is the maximum flow from node 12 to node 3:"
            },
            {
                "from": "gpt",
                "value": "20."
            }
        ]
    },
    {
        "id": "flow-hard-graph114",
        "image": "data/flow/graph_visual/hard/graph114.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 6 with capacity 12,\nan edge from node 0 to node 1 with capacity 13,\nan edge from node 0 to node 8 with capacity 1,\nan edge from node 0 to node 2 with capacity 14,\nan edge from node 1 to node 6 with capacity 5,\nan edge from node 1 to node 4 with capacity 15,\nan edge from node 1 to node 9 with capacity 1,\nan edge from node 2 to node 3 with capacity 7,\nan edge from node 2 to node 0 with capacity 3,\nan edge from node 3 to node 1 with capacity 11,\nan edge from node 3 to node 4 with capacity 11,\nan edge from node 3 to node 8 with capacity 6,\nan edge from node 3 to node 2 with capacity 16,\nan edge from node 3 to node 9 with capacity 7,\nan edge from node 4 to node 1 with capacity 8,\nan edge from node 4 to node 5 with capacity 7,\nan edge from node 4 to node 3 with capacity 11,\nan edge from node 4 to node 9 with capacity 6,\nan edge from node 5 to node 6 with capacity 10,\nan edge from node 5 to node 1 with capacity 16,\nan edge from node 5 to node 9 with capacity 18,\nan edge from node 6 to node 0 with capacity 10,\nan edge from node 8 to node 6 with capacity 9,\nan edge from node 8 to node 1 with capacity 9,\nan edge from node 8 to node 4 with capacity 8,\nan edge from node 8 to node 0 with capacity 18,\nan edge from node 8 to node 2 with capacity 1,\nan edge from node 9 to node 2 with capacity 14,\nan edge from node 10 to node 3 with capacity 5,\nan edge from node 10 to node 7 with capacity 8,\nWhat is the maximum flow from node 3 to node 6:"
            },
            {
                "from": "gpt",
                "value": "21."
            }
        ]
    },
    {
        "id": "flow-hard-graph795",
        "image": "data/flow/graph_visual/hard/graph795.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 9 with capacity 2,\nan edge from node 0 to node 2 with capacity 3,\nan edge from node 0 to node 12 with capacity 3,\nan edge from node 0 to node 15 with capacity 10,\nan edge from node 0 to node 3 with capacity 7,\nan edge from node 0 to node 14 with capacity 18,\nan edge from node 1 to node 13 with capacity 5,\nan edge from node 1 to node 9 with capacity 5,\nan edge from node 1 to node 12 with capacity 7,\nan edge from node 1 to node 11 with capacity 14,\nan edge from node 1 to node 15 with capacity 19,\nan edge from node 2 to node 13 with capacity 14,\nan edge from node 2 to node 6 with capacity 17,\nan edge from node 2 to node 8 with capacity 16,\nan edge from node 3 to node 5 with capacity 2,\nan edge from node 3 to node 12 with capacity 12,\nan edge from node 3 to node 0 with capacity 12,\nan edge from node 3 to node 16 with capacity 8,\nan edge from node 3 to node 10 with capacity 1,\nan edge from node 3 to node 14 with capacity 4,\nan edge from node 4 to node 1 with capacity 1,\nan edge from node 4 to node 0 with capacity 9,\nan edge from node 4 to node 15 with capacity 19,\nan edge from node 4 to node 6 with capacity 10,\nan edge from node 4 to node 3 with capacity 2,\nan edge from node 5 to node 13 with capacity 17,\nan edge from node 5 to node 2 with capacity 9,\nan edge from node 5 to node 7 with capacity 1,\nan edge from node 5 to node 0 with capacity 10,\nan edge from node 5 to node 3 with capacity 2,\nan edge from node 7 to node 12 with capacity 1,\nan edge from node 7 to node 15 with capacity 20,\nan edge from node 7 to node 8 with capacity 19,\nan edge from node 8 to node 9 with capacity 17,\nan edge from node 8 to node 1 with capacity 18,\nan edge from node 8 to node 12 with capacity 6,\nan edge from node 8 to node 11 with capacity 17,\nan edge from node 8 to node 15 with capacity 1,\nan edge from node 8 to node 16 with capacity 14,\nan edge from node 8 to node 6 with capacity 20,\nan edge from node 8 to node 10 with capacity 1,\nan edge from node 8 to node 3 with capacity 19,\nan edge from node 9 to node 12 with capacity 10,\nan edge from node 9 to node 4 with capacity 6,\nan edge from node 10 to node 13 with capacity 8,\nan edge from node 10 to node 9 with capacity 10,\nan edge from node 10 to node 4 with capacity 1,\nan edge from node 11 to node 15 with capacity 17,\nan edge from node 11 to node 10 with capacity 1,\nan edge from node 12 to node 2 with capacity 8,\nan edge from node 12 to node 5 with capacity 6,\nan edge from node 12 to node 11 with capacity 8,\nan edge from node 12 to node 16 with capacity 6,\nan edge from node 12 to node 10 with capacity 20,\nan edge from node 13 to node 1 with capacity 4,\nan edge from node 13 to node 4 with capacity 6,\nan edge from node 13 to node 6 with capacity 20,\nan edge from node 14 to node 9 with capacity 12,\nan edge from node 14 to node 5 with capacity 4,\nan edge from node 14 to node 1 with capacity 19,\nan edge from node 14 to node 15 with capacity 12,\nan edge from node 14 to node 16 with capacity 7,\nan edge from node 14 to node 6 with capacity 4,\nan edge from node 14 to node 8 with capacity 4,\nan edge from node 14 to node 3 with capacity 10,\nan edge from node 15 to node 2 with capacity 3,\nan edge from node 15 to node 6 with capacity 5,\nan edge from node 15 to node 10 with capacity 1,\nan edge from node 15 to node 14 with capacity 5,\nan edge from node 16 to node 7 with capacity 1,\nan edge from node 16 to node 0 with capacity 13,\nan edge from node 16 to node 6 with capacity 19,\nan edge from node 16 to node 8 with capacity 2,\nan edge from node 16 to node 14 with capacity 15,\nWhat is the maximum flow from node 10 to node 6:"
            },
            {
                "from": "gpt",
                "value": "19."
            }
        ]
    },
    {
        "id": "flow-hard-graph1071",
        "image": "data/flow/graph_visual/hard/graph1071.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 1 with capacity 2,\nan edge from node 0 to node 12 with capacity 1,\nan edge from node 0 to node 5 with capacity 8,\nan edge from node 0 to node 8 with capacity 1,\nan edge from node 0 to node 13 with capacity 17,\nan edge from node 0 to node 18 with capacity 6,\nan edge from node 0 to node 9 with capacity 15,\nan edge from node 1 to node 3 with capacity 7,\nan edge from node 1 to node 11 with capacity 8,\nan edge from node 1 to node 9 with capacity 13,\nan edge from node 2 to node 16 with capacity 15,\nan edge from node 2 to node 8 with capacity 17,\nan edge from node 2 to node 7 with capacity 11,\nan edge from node 3 to node 16 with capacity 2,\nan edge from node 3 to node 4 with capacity 1,\nan edge from node 3 to node 18 with capacity 16,\nan edge from node 3 to node 10 with capacity 16,\nan edge from node 4 to node 1 with capacity 2,\nan edge from node 4 to node 3 with capacity 5,\nan edge from node 4 to node 8 with capacity 2,\nan edge from node 4 to node 7 with capacity 2,\nan edge from node 5 to node 4 with capacity 18,\nan edge from node 5 to node 3 with capacity 20,\nan edge from node 5 to node 13 with capacity 6,\nan edge from node 5 to node 7 with capacity 10,\nan edge from node 6 to node 4 with capacity 5,\nan edge from node 6 to node 3 with capacity 17,\nan edge from node 6 to node 8 with capacity 6,\nan edge from node 6 to node 13 with capacity 2,\nan edge from node 7 to node 14 with capacity 17,\nan edge from node 7 to node 16 with capacity 9,\nan edge from node 7 to node 4 with capacity 20,\nan edge from node 7 to node 5 with capacity 13,\nan edge from node 7 to node 13 with capacity 9,\nan edge from node 7 to node 11 with capacity 16,\nan edge from node 7 to node 9 with capacity 13,\nan edge from node 8 to node 1 with capacity 8,\nan edge from node 8 to node 14 with capacity 3,\nan edge from node 8 to node 4 with capacity 10,\nan edge from node 8 to node 18 with capacity 13,\nan edge from node 8 to node 11 with capacity 9,\nan edge from node 8 to node 7 with capacity 20,\nan edge from node 9 to node 16 with capacity 11,\nan edge from node 9 to node 3 with capacity 8,\nan edge from node 9 to node 5 with capacity 12,\nan edge from node 9 to node 2 with capacity 12,\nan edge from node 9 to node 13 with capacity 13,\nan edge from node 9 to node 18 with capacity 15,\nan edge from node 10 to node 1 with capacity 1,\nan edge from node 10 to node 0 with capacity 20,\nan edge from node 10 to node 12 with capacity 16,\nan edge from node 10 to node 5 with capacity 18,\nan edge from node 10 to node 9 with capacity 9,\nan edge from node 11 to node 1 with capacity 8,\nan edge from node 11 to node 0 with capacity 18,\nan edge from node 11 to node 5 with capacity 18,\nan edge from node 11 to node 8 with capacity 5,\nan edge from node 11 to node 7 with capacity 18,\nan edge from node 12 to node 0 with capacity 17,\nan edge from node 12 to node 6 with capacity 6,\nan edge from node 12 to node 3 with capacity 5,\nan edge from node 12 to node 17 with capacity 7,\nan edge from node 12 to node 9 with capacity 16,\nan edge from node 13 to node 1 with capacity 1,\nan edge from node 13 to node 14 with capacity 5,\nan edge from node 13 to node 3 with capacity 16,\nan edge from node 13 to node 18 with capacity 4,\nan edge from node 13 to node 7 with capacity 1,\nan edge from node 14 to node 1 with capacity 1,\nan edge from node 14 to node 4 with capacity 19,\nan edge from node 14 to node 12 with capacity 1,\nan edge from node 14 to node 8 with capacity 12,\nan edge from node 14 to node 11 with capacity 9,\nan edge from node 14 to node 7 with capacity 18,\nan edge from node 15 to node 5 with capacity 14,\nan edge from node 15 to node 11 with capacity 6,\nan edge from node 15 to node 10 with capacity 4,\nan edge from node 15 to node 9 with capacity 20,\nan edge from node 16 to node 6 with capacity 15,\nan edge from node 16 to node 3 with capacity 10,\nan edge from node 16 to node 17 with capacity 11,\nan edge from node 16 to node 15 with capacity 3,\nan edge from node 16 to node 10 with capacity 5,\nan edge from node 17 to node 0 with capacity 20,\nan edge from node 17 to node 4 with capacity 15,\nan edge from node 17 to node 18 with capacity 17,\nan edge from node 18 to node 16 with capacity 17,\nan edge from node 18 to node 4 with capacity 15,\nan edge from node 18 to node 8 with capacity 1,\nWhat is the maximum flow from node 1 to node 3:"
            },
            {
                "from": "gpt",
                "value": "28."
            }
        ]
    },
    {
        "id": "flow-hard-graph808",
        "image": "data/flow/graph_visual/hard/graph808.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 2 with capacity 4,\nan edge from node 0 to node 6 with capacity 8,\nan edge from node 0 to node 14 with capacity 7,\nan edge from node 0 to node 3 with capacity 11,\nan edge from node 0 to node 8 with capacity 14,\nan edge from node 1 to node 4 with capacity 18,\nan edge from node 2 to node 6 with capacity 3,\nan edge from node 2 to node 8 with capacity 18,\nan edge from node 3 to node 4 with capacity 6,\nan edge from node 3 to node 6 with capacity 10,\nan edge from node 3 to node 11 with capacity 20,\nan edge from node 4 to node 13 with capacity 1,\nan edge from node 4 to node 15 with capacity 7,\nan edge from node 4 to node 8 with capacity 1,\nan edge from node 5 to node 4 with capacity 10,\nan edge from node 5 to node 16 with capacity 1,\nan edge from node 5 to node 8 with capacity 10,\nan edge from node 6 to node 1 with capacity 7,\nan edge from node 6 to node 9 with capacity 7,\nan edge from node 7 to node 4 with capacity 19,\nan edge from node 7 to node 5 with capacity 15,\nan edge from node 8 to node 1 with capacity 16,\nan edge from node 8 to node 11 with capacity 8,\nan edge from node 9 to node 2 with capacity 20,\nan edge from node 9 to node 11 with capacity 8,\nan edge from node 9 to node 5 with capacity 20,\nan edge from node 10 to node 0 with capacity 1,\nan edge from node 10 to node 11 with capacity 4,\nan edge from node 10 to node 14 with capacity 19,\nan edge from node 11 to node 2 with capacity 7,\nan edge from node 11 to node 6 with capacity 7,\nan edge from node 11 to node 15 with capacity 3,\nan edge from node 12 to node 1 with capacity 13,\nan edge from node 12 to node 4 with capacity 16,\nan edge from node 12 to node 6 with capacity 15,\nan edge from node 12 to node 7 with capacity 10,\nan edge from node 13 to node 1 with capacity 14,\nan edge from node 13 to node 5 with capacity 6,\nan edge from node 14 to node 2 with capacity 9,\nan edge from node 14 to node 16 with capacity 13,\nan edge from node 15 to node 0 with capacity 14,\nan edge from node 15 to node 6 with capacity 7,\nan edge from node 15 to node 13 with capacity 15,\nan edge from node 15 to node 10 with capacity 10,\nan edge from node 15 to node 14 with capacity 16,\nan edge from node 15 to node 7 with capacity 19,\nan edge from node 16 to node 4 with capacity 10,\nan edge from node 16 to node 6 with capacity 5,\nan edge from node 16 to node 3 with capacity 9,\nWhat is the maximum flow from node 9 to node 10:"
            },
            {
                "from": "gpt",
                "value": "10."
            }
        ]
    },
    {
        "id": "flow-hard-graph771",
        "image": "data/flow/graph_visual/hard/graph771.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 10 with capacity 2,\nan edge from node 0 to node 9 with capacity 18,\nan edge from node 0 to node 2 with capacity 19,\nan edge from node 0 to node 5 with capacity 17,\nan edge from node 1 to node 13 with capacity 2,\nan edge from node 1 to node 6 with capacity 10,\nan edge from node 1 to node 7 with capacity 2,\nan edge from node 1 to node 3 with capacity 13,\nan edge from node 2 to node 11 with capacity 2,\nan edge from node 2 to node 14 with capacity 8,\nan edge from node 3 to node 11 with capacity 6,\nan edge from node 3 to node 9 with capacity 16,\nan edge from node 3 to node 4 with capacity 1,\nan edge from node 4 to node 7 with capacity 16,\nan edge from node 4 to node 3 with capacity 20,\nan edge from node 4 to node 2 with capacity 15,\nan edge from node 4 to node 5 with capacity 2,\nan edge from node 5 to node 13 with capacity 14,\nan edge from node 5 to node 10 with capacity 1,\nan edge from node 5 to node 9 with capacity 20,\nan edge from node 5 to node 6 with capacity 4,\nan edge from node 6 to node 9 with capacity 20,\nan edge from node 6 to node 14 with capacity 14,\nan edge from node 7 to node 11 with capacity 12,\nan edge from node 7 to node 15 with capacity 14,\nan edge from node 7 to node 9 with capacity 14,\nan edge from node 7 to node 1 with capacity 17,\nan edge from node 7 to node 14 with capacity 18,\nan edge from node 7 to node 12 with capacity 18,\nan edge from node 8 to node 15 with capacity 7,\nan edge from node 8 to node 4 with capacity 1,\nan edge from node 9 to node 7 with capacity 15,\nan edge from node 9 to node 3 with capacity 18,\nan edge from node 10 to node 9 with capacity 5,\nan edge from node 10 to node 14 with capacity 17,\nan edge from node 10 to node 2 with capacity 17,\nan edge from node 11 to node 8 with capacity 14,\nan edge from node 11 to node 12 with capacity 7,\nan edge from node 11 to node 2 with capacity 6,\nan edge from node 12 to node 6 with capacity 6,\nan edge from node 12 to node 1 with capacity 17,\nan edge from node 12 to node 7 with capacity 2,\nan edge from node 12 to node 4 with capacity 11,\nan edge from node 12 to node 14 with capacity 8,\nan edge from node 12 to node 2 with capacity 9,\nan edge from node 13 to node 9 with capacity 8,\nan edge from node 13 to node 6 with capacity 20,\nan edge from node 13 to node 4 with capacity 8,\nan edge from node 13 to node 14 with capacity 9,\nan edge from node 14 to node 15 with capacity 9,\nan edge from node 14 to node 0 with capacity 9,\nan edge from node 14 to node 10 with capacity 8,\nan edge from node 14 to node 16 with capacity 8,\nan edge from node 14 to node 6 with capacity 12,\nan edge from node 14 to node 8 with capacity 11,\nan edge from node 14 to node 3 with capacity 19,\nan edge from node 14 to node 12 with capacity 18,\nan edge from node 14 to node 2 with capacity 14,\nan edge from node 15 to node 11 with capacity 3,\nan edge from node 15 to node 13 with capacity 11,\nan edge from node 15 to node 10 with capacity 11,\nan edge from node 15 to node 6 with capacity 13,\nan edge from node 15 to node 1 with capacity 12,\nan edge from node 15 to node 8 with capacity 15,\nan edge from node 15 to node 3 with capacity 5,\nan edge from node 15 to node 12 with capacity 14,\nan edge from node 16 to node 11 with capacity 19,\nan edge from node 16 to node 10 with capacity 4,\nan edge from node 16 to node 9 with capacity 5,\nan edge from node 16 to node 1 with capacity 15,\nan edge from node 16 to node 7 with capacity 1,\nan edge from node 16 to node 14 with capacity 8,\nWhat is the maximum flow from node 2 to node 6:"
            },
            {
                "from": "gpt",
                "value": "10."
            }
        ]
    },
    {
        "id": "flow-hard-graph376",
        "image": "data/flow/graph_visual/hard/graph376.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 12 with capacity 20,\nan edge from node 0 to node 11 with capacity 11,\nan edge from node 1 to node 4 with capacity 16,\nan edge from node 1 to node 11 with capacity 7,\nan edge from node 2 to node 7 with capacity 14,\nan edge from node 2 to node 11 with capacity 6,\nan edge from node 3 to node 9 with capacity 20,\nan edge from node 3 to node 4 with capacity 4,\nan edge from node 3 to node 11 with capacity 16,\nan edge from node 4 to node 8 with capacity 7,\nan edge from node 4 to node 5 with capacity 8,\nan edge from node 4 to node 0 with capacity 6,\nan edge from node 5 to node 8 with capacity 13,\nan edge from node 5 to node 9 with capacity 11,\nan edge from node 5 to node 3 with capacity 17,\nan edge from node 5 to node 4 with capacity 3,\nan edge from node 6 to node 10 with capacity 7,\nan edge from node 6 to node 7 with capacity 11,\nan edge from node 6 to node 2 with capacity 12,\nan edge from node 6 to node 5 with capacity 10,\nan edge from node 6 to node 13 with capacity 6,\nan edge from node 6 to node 4 with capacity 1,\nan edge from node 6 to node 0 with capacity 12,\nan edge from node 7 to node 6 with capacity 11,\nan edge from node 8 to node 10 with capacity 1,\nan edge from node 8 to node 13 with capacity 6,\nan edge from node 9 to node 8 with capacity 17,\nan edge from node 9 to node 1 with capacity 14,\nan edge from node 9 to node 13 with capacity 4,\nan edge from node 9 to node 0 with capacity 1,\nan edge from node 10 to node 12 with capacity 19,\nan edge from node 10 to node 1 with capacity 8,\nan edge from node 10 to node 2 with capacity 15,\nan edge from node 10 to node 0 with capacity 4,\nan edge from node 11 to node 6 with capacity 18,\nan edge from node 11 to node 8 with capacity 14,\nan edge from node 11 to node 9 with capacity 4,\nan edge from node 11 to node 10 with capacity 15,\nan edge from node 11 to node 1 with capacity 8,\nan edge from node 11 to node 2 with capacity 4,\nan edge from node 12 to node 6 with capacity 11,\nan edge from node 12 to node 8 with capacity 1,\nan edge from node 12 to node 7 with capacity 15,\nan edge from node 12 to node 13 with capacity 9,\nan edge from node 12 to node 4 with capacity 18,\nan edge from node 13 to node 10 with capacity 19,\nan edge from node 13 to node 5 with capacity 12,\nan edge from node 13 to node 11 with capacity 5,\nan edge from node 13 to node 0 with capacity 5,\nWhat is the maximum flow from node 2 to node 13:"
            },
            {
                "from": "gpt",
                "value": "17."
            }
        ]
    },
    {
        "id": "flow-hard-graph20",
        "image": "data/flow/graph_visual/hard/graph20.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 2 with capacity 17,\nan edge from node 0 to node 4 with capacity 12,\nan edge from node 1 to node 3 with capacity 16,\nan edge from node 1 to node 4 with capacity 6,\nan edge from node 2 to node 10 with capacity 2,\nan edge from node 2 to node 7 with capacity 15,\nan edge from node 3 to node 1 with capacity 7,\nan edge from node 3 to node 4 with capacity 16,\nan edge from node 3 to node 0 with capacity 1,\nan edge from node 4 to node 6 with capacity 15,\nan edge from node 4 to node 5 with capacity 2,\nan edge from node 5 to node 1 with capacity 19,\nan edge from node 5 to node 8 with capacity 11,\nan edge from node 7 to node 6 with capacity 17,\nan edge from node 7 to node 0 with capacity 5,\nan edge from node 8 to node 10 with capacity 1,\nan edge from node 8 to node 7 with capacity 16,\nan edge from node 9 to node 2 with capacity 17,\nan edge from node 9 to node 3 with capacity 7,\nan edge from node 9 to node 5 with capacity 16,\nan edge from node 10 to node 4 with capacity 6,\nWhat is the maximum flow from node 1 to node 0:"
            },
            {
                "from": "gpt",
                "value": "3."
            }
        ]
    },
    {
        "id": "flow-hard-graph319",
        "image": "data/flow/graph_visual/hard/graph319.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 4 with capacity 14,\nan edge from node 0 to node 5 with capacity 5,\nan edge from node 0 to node 6 with capacity 15,\nan edge from node 0 to node 1 with capacity 2,\nan edge from node 1 to node 11 with capacity 19,\nan edge from node 1 to node 10 with capacity 5,\nan edge from node 1 to node 6 with capacity 20,\nan edge from node 1 to node 7 with capacity 3,\nan edge from node 1 to node 9 with capacity 4,\nan edge from node 2 to node 10 with capacity 4,\nan edge from node 2 to node 7 with capacity 2,\nan edge from node 2 to node 9 with capacity 7,\nan edge from node 3 to node 1 with capacity 11,\nan edge from node 3 to node 7 with capacity 5,\nan edge from node 4 to node 2 with capacity 13,\nan edge from node 4 to node 5 with capacity 14,\nan edge from node 4 to node 8 with capacity 13,\nan edge from node 4 to node 12 with capacity 12,\nan edge from node 5 to node 2 with capacity 20,\nan edge from node 5 to node 1 with capacity 4,\nan edge from node 5 to node 12 with capacity 13,\nan edge from node 6 to node 2 with capacity 1,\nan edge from node 7 to node 5 with capacity 13,\nan edge from node 7 to node 0 with capacity 8,\nan edge from node 8 to node 11 with capacity 9,\nan edge from node 8 to node 1 with capacity 2,\nan edge from node 8 to node 9 with capacity 13,\nan edge from node 9 to node 4 with capacity 16,\nan edge from node 9 to node 3 with capacity 20,\nan edge from node 10 to node 11 with capacity 13,\nan edge from node 10 to node 0 with capacity 5,\nan edge from node 10 to node 12 with capacity 6,\nan edge from node 10 to node 9 with capacity 16,\nan edge from node 11 to node 4 with capacity 16,\nan edge from node 11 to node 5 with capacity 12,\nan edge from node 11 to node 1 with capacity 14,\nan edge from node 11 to node 8 with capacity 18,\nan edge from node 11 to node 9 with capacity 11,\nan edge from node 12 to node 4 with capacity 4,\nan edge from node 12 to node 10 with capacity 12,\nan edge from node 12 to node 1 with capacity 6,\nan edge from node 12 to node 9 with capacity 5,\nWhat is the maximum flow from node 1 to node 10:"
            },
            {
                "from": "gpt",
                "value": "21."
            }
        ]
    },
    {
        "id": "flow-hard-graph237",
        "image": "data/flow/graph_visual/hard/graph237.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 10 with capacity 19,\nan edge from node 0 to node 3 with capacity 14,\nan edge from node 0 to node 6 with capacity 1,\nan edge from node 1 to node 8 with capacity 14,\nan edge from node 1 to node 2 with capacity 16,\nan edge from node 1 to node 7 with capacity 9,\nan edge from node 1 to node 5 with capacity 8,\nan edge from node 1 to node 11 with capacity 1,\nan edge from node 1 to node 9 with capacity 17,\nan edge from node 2 to node 1 with capacity 15,\nan edge from node 2 to node 3 with capacity 19,\nan edge from node 2 to node 6 with capacity 6,\nan edge from node 2 to node 5 with capacity 10,\nan edge from node 2 to node 9 with capacity 7,\nan edge from node 3 to node 10 with capacity 20,\nan edge from node 3 to node 1 with capacity 8,\nan edge from node 4 to node 1 with capacity 17,\nan edge from node 5 to node 8 with capacity 16,\nan edge from node 5 to node 1 with capacity 1,\nan edge from node 5 to node 3 with capacity 19,\nan edge from node 5 to node 11 with capacity 4,\nan edge from node 5 to node 4 with capacity 10,\nan edge from node 6 to node 10 with capacity 20,\nan edge from node 6 to node 1 with capacity 5,\nan edge from node 6 to node 11 with capacity 9,\nan edge from node 7 to node 1 with capacity 3,\nan edge from node 7 to node 11 with capacity 20,\nan edge from node 7 to node 0 with capacity 1,\nan edge from node 7 to node 4 with capacity 8,\nan edge from node 8 to node 2 with capacity 8,\nan edge from node 8 to node 0 with capacity 6,\nan edge from node 9 to node 1 with capacity 5,\nan edge from node 9 to node 6 with capacity 17,\nan edge from node 9 to node 5 with capacity 19,\nan edge from node 10 to node 2 with capacity 12,\nan edge from node 10 to node 3 with capacity 9,\nan edge from node 10 to node 11 with capacity 11,\nan edge from node 10 to node 9 with capacity 16,\nan edge from node 11 to node 2 with capacity 10,\nan edge from node 11 to node 10 with capacity 1,\nan edge from node 11 to node 9 with capacity 18,\nWhat is the maximum flow from node 11 to node 8:"
            },
            {
                "from": "gpt",
                "value": "29."
            }
        ]
    },
    {
        "id": "flow-hard-graph1030",
        "image": "data/flow/graph_visual/hard/graph1030.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 7 with capacity 12,\nan edge from node 0 to node 4 with capacity 7,\nan edge from node 0 to node 2 with capacity 2,\nan edge from node 0 to node 8 with capacity 3,\nan edge from node 0 to node 12 with capacity 9,\nan edge from node 0 to node 9 with capacity 13,\nan edge from node 1 to node 16 with capacity 11,\nan edge from node 1 to node 3 with capacity 7,\nan edge from node 1 to node 18 with capacity 1,\nan edge from node 1 to node 0 with capacity 9,\nan edge from node 1 to node 13 with capacity 5,\nan edge from node 2 to node 16 with capacity 7,\nan edge from node 2 to node 18 with capacity 17,\nan edge from node 2 to node 11 with capacity 7,\nan edge from node 2 to node 6 with capacity 14,\nan edge from node 2 to node 13 with capacity 17,\nan edge from node 3 to node 18 with capacity 9,\nan edge from node 3 to node 0 with capacity 14,\nan edge from node 3 to node 17 with capacity 19,\nan edge from node 3 to node 4 with capacity 13,\nan edge from node 3 to node 2 with capacity 1,\nan edge from node 3 to node 15 with capacity 11,\nan edge from node 3 to node 6 with capacity 4,\nan edge from node 4 to node 3 with capacity 6,\nan edge from node 4 to node 11 with capacity 1,\nan edge from node 4 to node 2 with capacity 5,\nan edge from node 4 to node 15 with capacity 6,\nan edge from node 4 to node 8 with capacity 2,\nan edge from node 4 to node 10 with capacity 17,\nan edge from node 4 to node 13 with capacity 1,\nan edge from node 5 to node 1 with capacity 16,\nan edge from node 5 to node 18 with capacity 20,\nan edge from node 5 to node 17 with capacity 15,\nan edge from node 5 to node 12 with capacity 8,\nan edge from node 5 to node 6 with capacity 19,\nan edge from node 5 to node 9 with capacity 5,\nan edge from node 6 to node 11 with capacity 11,\nan edge from node 6 to node 0 with capacity 1,\nan edge from node 6 to node 7 with capacity 19,\nan edge from node 6 to node 4 with capacity 6,\nan edge from node 6 to node 2 with capacity 13,\nan edge from node 6 to node 9 with capacity 10,\nan edge from node 7 to node 3 with capacity 20,\nan edge from node 7 to node 8 with capacity 6,\nan edge from node 8 to node 14 with capacity 15,\nan edge from node 8 to node 7 with capacity 8,\nan edge from node 8 to node 15 with capacity 2,\nan edge from node 8 to node 6 with capacity 14,\nan edge from node 8 to node 10 with capacity 6,\nan edge from node 9 to node 1 with capacity 4,\nan edge from node 9 to node 17 with capacity 18,\nan edge from node 9 to node 4 with capacity 16,\nan edge from node 9 to node 15 with capacity 11,\nan edge from node 9 to node 8 with capacity 13,\nan edge from node 10 to node 0 with capacity 11,\nan edge from node 10 to node 4 with capacity 8,\nan edge from node 10 to node 2 with capacity 20,\nan edge from node 10 to node 5 with capacity 6,\nan edge from node 11 to node 1 with capacity 11,\nan edge from node 11 to node 2 with capacity 5,\nan edge from node 11 to node 12 with capacity 17,\nan edge from node 12 to node 3 with capacity 19,\nan edge from node 12 to node 11 with capacity 12,\nan edge from node 12 to node 0 with capacity 16,\nan edge from node 12 to node 17 with capacity 5,\nan edge from node 13 to node 0 with capacity 16,\nan edge from node 13 to node 7 with capacity 16,\nan edge from node 13 to node 5 with capacity 10,\nan edge from node 13 to node 6 with capacity 18,\nan edge from node 13 to node 9 with capacity 11,\nan edge from node 13 to node 10 with capacity 3,\nan edge from node 14 to node 8 with capacity 16,\nan edge from node 15 to node 1 with capacity 14,\nan edge from node 15 to node 11 with capacity 5,\nan edge from node 15 to node 4 with capacity 19,\nan edge from node 15 to node 6 with capacity 11,\nan edge from node 15 to node 13 with capacity 5,\nan edge from node 16 to node 18 with capacity 11,\nan edge from node 16 to node 11 with capacity 15,\nan edge from node 16 to node 6 with capacity 1,\nan edge from node 16 to node 13 with capacity 17,\nan edge from node 17 to node 1 with capacity 19,\nan edge from node 17 to node 3 with capacity 11,\nan edge from node 17 to node 18 with capacity 2,\nan edge from node 17 to node 11 with capacity 19,\nan edge from node 17 to node 7 with capacity 2,\nan edge from node 17 to node 6 with capacity 13,\nan edge from node 18 to node 7 with capacity 3,\nan edge from node 18 to node 4 with capacity 1,\nan edge from node 18 to node 13 with capacity 11,\nWhat is the maximum flow from node 1 to node 16:"
            },
            {
                "from": "gpt",
                "value": "18."
            }
        ]
    },
    {
        "id": "flow-hard-graph1195",
        "image": "data/flow/graph_visual/hard/graph1195.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 1 with capacity 18,\nan edge from node 0 to node 7 with capacity 12,\nan edge from node 0 to node 12 with capacity 8,\nan edge from node 0 to node 8 with capacity 18,\nan edge from node 1 to node 11 with capacity 10,\nan edge from node 1 to node 4 with capacity 19,\nan edge from node 1 to node 2 with capacity 9,\nan edge from node 1 to node 14 with capacity 20,\nan edge from node 1 to node 19 with capacity 7,\nan edge from node 1 to node 15 with capacity 18,\nan edge from node 2 to node 11 with capacity 2,\nan edge from node 2 to node 1 with capacity 13,\nan edge from node 2 to node 16 with capacity 12,\nan edge from node 2 to node 13 with capacity 2,\nan edge from node 2 to node 12 with capacity 2,\nan edge from node 3 to node 2 with capacity 8,\nan edge from node 3 to node 14 with capacity 17,\nan edge from node 3 to node 8 with capacity 4,\nan edge from node 3 to node 5 with capacity 14,\nan edge from node 4 to node 2 with capacity 7,\nan edge from node 4 to node 13 with capacity 7,\nan edge from node 4 to node 12 with capacity 3,\nan edge from node 4 to node 8 with capacity 19,\nan edge from node 4 to node 17 with capacity 6,\nan edge from node 4 to node 15 with capacity 20,\nan edge from node 4 to node 5 with capacity 5,\nan edge from node 5 to node 11 with capacity 17,\nan edge from node 5 to node 4 with capacity 14,\nan edge from node 5 to node 7 with capacity 13,\nan edge from node 5 to node 13 with capacity 2,\nan edge from node 5 to node 14 with capacity 9,\nan edge from node 5 to node 3 with capacity 17,\nan edge from node 5 to node 12 with capacity 3,\nan edge from node 6 to node 18 with capacity 8,\nan edge from node 6 to node 11 with capacity 3,\nan edge from node 6 to node 4 with capacity 11,\nan edge from node 6 to node 10 with capacity 2,\nan edge from node 7 to node 4 with capacity 5,\nan edge from node 7 to node 3 with capacity 9,\nan edge from node 7 to node 19 with capacity 20,\nan edge from node 7 to node 8 with capacity 18,\nan edge from node 8 to node 4 with capacity 15,\nan edge from node 8 to node 2 with capacity 12,\nan edge from node 8 to node 13 with capacity 3,\nan edge from node 8 to node 14 with capacity 19,\nan edge from node 8 to node 19 with capacity 6,\nan edge from node 8 to node 5 with capacity 17,\nan edge from node 9 to node 18 with capacity 1,\nan edge from node 9 to node 1 with capacity 12,\nan edge from node 9 to node 10 with capacity 14,\nan edge from node 9 to node 13 with capacity 16,\nan edge from node 9 to node 3 with capacity 2,\nan edge from node 9 to node 15 with capacity 7,\nan edge from node 10 to node 4 with capacity 14,\nan edge from node 10 to node 2 with capacity 14,\nan edge from node 10 to node 3 with capacity 9,\nan edge from node 10 to node 9 with capacity 19,\nan edge from node 10 to node 5 with capacity 10,\nan edge from node 11 to node 18 with capacity 2,\nan edge from node 11 to node 0 with capacity 2,\nan edge from node 11 to node 19 with capacity 1,\nan edge from node 12 to node 6 with capacity 15,\nan edge from node 12 to node 14 with capacity 7,\nan edge from node 12 to node 3 with capacity 19,\nan edge from node 12 to node 8 with capacity 8,\nan edge from node 13 to node 11 with capacity 3,\nan edge from node 13 to node 10 with capacity 4,\nan edge from node 13 to node 3 with capacity 4,\nan edge from node 13 to node 9 with capacity 11,\nan edge from node 13 to node 15 with capacity 14,\nan edge from node 14 to node 18 with capacity 4,\nan edge from node 14 to node 16 with capacity 2,\nan edge from node 14 to node 15 with capacity 18,\nan edge from node 15 to node 11 with capacity 5,\nan edge from node 15 to node 10 with capacity 14,\nan edge from node 15 to node 7 with capacity 9,\nan edge from node 15 to node 8 with capacity 14,\nan edge from node 16 to node 4 with capacity 3,\nan edge from node 16 to node 10 with capacity 19,\nan edge from node 17 to node 1 with capacity 5,\nan edge from node 17 to node 6 with capacity 15,\nan edge from node 17 to node 2 with capacity 17,\nan edge from node 17 to node 13 with capacity 14,\nan edge from node 17 to node 3 with capacity 19,\nan edge from node 17 to node 19 with capacity 14,\nan edge from node 18 to node 11 with capacity 19,\nan edge from node 18 to node 0 with capacity 9,\nan edge from node 18 to node 9 with capacity 8,\nan edge from node 19 to node 11 with capacity 17,\nan edge from node 19 to node 1 with capacity 20,\nan edge from node 19 to node 9 with capacity 7,\nan edge from node 19 to node 17 with capacity 14,\nan edge from node 19 to node 15 with capacity 12,\nWhat is the maximum flow from node 17 to node 10:"
            },
            {
                "from": "gpt",
                "value": "48."
            }
        ]
    },
    {
        "id": "flow-hard-graph399",
        "image": "data/flow/graph_visual/hard/graph399.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 8 with capacity 17,\nan edge from node 0 to node 1 with capacity 5,\nan edge from node 0 to node 6 with capacity 6,\nan edge from node 1 to node 9 with capacity 14,\nan edge from node 2 to node 13 with capacity 20,\nan edge from node 2 to node 8 with capacity 9,\nan edge from node 2 to node 1 with capacity 11,\nan edge from node 2 to node 5 with capacity 2,\nan edge from node 2 to node 6 with capacity 14,\nan edge from node 3 to node 2 with capacity 5,\nan edge from node 3 to node 11 with capacity 2,\nan edge from node 3 to node 9 with capacity 12,\nan edge from node 3 to node 10 with capacity 6,\nan edge from node 3 to node 5 with capacity 12,\nan edge from node 3 to node 6 with capacity 2,\nan edge from node 4 to node 10 with capacity 15,\nan edge from node 4 to node 1 with capacity 6,\nan edge from node 4 to node 5 with capacity 19,\nan edge from node 4 to node 12 with capacity 12,\nan edge from node 5 to node 2 with capacity 4,\nan edge from node 5 to node 13 with capacity 20,\nan edge from node 6 to node 4 with capacity 12,\nan edge from node 7 to node 1 with capacity 10,\nan edge from node 7 to node 5 with capacity 18,\nan edge from node 7 to node 6 with capacity 2,\nan edge from node 7 to node 4 with capacity 17,\nan edge from node 8 to node 5 with capacity 19,\nan edge from node 9 to node 10 with capacity 12,\nan edge from node 9 to node 0 with capacity 6,\nan edge from node 9 to node 5 with capacity 5,\nan edge from node 10 to node 9 with capacity 7,\nan edge from node 10 to node 1 with capacity 18,\nan edge from node 11 to node 13 with capacity 12,\nan edge from node 11 to node 9 with capacity 11,\nan edge from node 11 to node 10 with capacity 18,\nan edge from node 11 to node 12 with capacity 17,\nan edge from node 12 to node 13 with capacity 20,\nan edge from node 12 to node 9 with capacity 13,\nan edge from node 12 to node 10 with capacity 8,\nan edge from node 12 to node 7 with capacity 17,\nan edge from node 12 to node 6 with capacity 18,\nan edge from node 13 to node 3 with capacity 9,\nan edge from node 13 to node 2 with capacity 16,\nan edge from node 13 to node 10 with capacity 16,\nan edge from node 13 to node 7 with capacity 11,\nWhat is the maximum flow from node 9 to node 10:"
            },
            {
                "from": "gpt",
                "value": "23."
            }
        ]
    },
    {
        "id": "flow-hard-graph298",
        "image": "data/flow/graph_visual/hard/graph298.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 12 with capacity 18,\nan edge from node 0 to node 10 with capacity 17,\nan edge from node 0 to node 2 with capacity 14,\nan edge from node 0 to node 8 with capacity 1,\nan edge from node 1 to node 0 with capacity 3,\nan edge from node 1 to node 9 with capacity 8,\nan edge from node 1 to node 3 with capacity 9,\nan edge from node 2 to node 9 with capacity 9,\nan edge from node 2 to node 4 with capacity 14,\nan edge from node 2 to node 8 with capacity 18,\nan edge from node 3 to node 9 with capacity 9,\nan edge from node 3 to node 1 with capacity 8,\nan edge from node 3 to node 5 with capacity 15,\nan edge from node 3 to node 12 with capacity 15,\nan edge from node 4 to node 3 with capacity 13,\nan edge from node 4 to node 5 with capacity 19,\nan edge from node 4 to node 12 with capacity 13,\nan edge from node 5 to node 8 with capacity 12,\nan edge from node 6 to node 0 with capacity 8,\nan edge from node 6 to node 3 with capacity 2,\nan edge from node 6 to node 5 with capacity 18,\nan edge from node 6 to node 10 with capacity 5,\nan edge from node 6 to node 2 with capacity 11,\nan edge from node 7 to node 6 with capacity 14,\nan edge from node 7 to node 5 with capacity 15,\nan edge from node 7 to node 12 with capacity 2,\nan edge from node 8 to node 9 with capacity 3,\nan edge from node 8 to node 12 with capacity 8,\nan edge from node 9 to node 4 with capacity 7,\nan edge from node 9 to node 6 with capacity 1,\nan edge from node 9 to node 2 with capacity 12,\nan edge from node 9 to node 8 with capacity 4,\nan edge from node 10 to node 9 with capacity 7,\nan edge from node 10 to node 5 with capacity 9,\nan edge from node 10 to node 2 with capacity 7,\nan edge from node 11 to node 7 with capacity 9,\nan edge from node 11 to node 6 with capacity 18,\nan edge from node 11 to node 12 with capacity 15,\nan edge from node 12 to node 4 with capacity 8,\nWhat is the maximum flow from node 1 to node 2:"
            },
            {
                "from": "gpt",
                "value": "16."
            }
        ]
    },
    {
        "id": "flow-hard-graph1012",
        "image": "data/flow/graph_visual/hard/graph1012.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 3 with capacity 18,\nan edge from node 0 to node 7 with capacity 14,\nan edge from node 0 to node 6 with capacity 9,\nan edge from node 0 to node 5 with capacity 19,\nan edge from node 0 to node 8 with capacity 11,\nan edge from node 0 to node 15 with capacity 8,\nan edge from node 0 to node 14 with capacity 19,\nan edge from node 0 to node 2 with capacity 19,\nan edge from node 1 to node 7 with capacity 9,\nan edge from node 1 to node 17 with capacity 13,\nan edge from node 1 to node 8 with capacity 13,\nan edge from node 1 to node 11 with capacity 20,\nan edge from node 1 to node 16 with capacity 5,\nan edge from node 2 to node 7 with capacity 15,\nan edge from node 2 to node 1 with capacity 12,\nan edge from node 3 to node 12 with capacity 19,\nan edge from node 3 to node 18 with capacity 16,\nan edge from node 3 to node 17 with capacity 14,\nan edge from node 3 to node 10 with capacity 13,\nan edge from node 3 to node 2 with capacity 8,\nan edge from node 4 to node 17 with capacity 16,\nan edge from node 4 to node 13 with capacity 14,\nan edge from node 4 to node 8 with capacity 11,\nan edge from node 4 to node 9 with capacity 13,\nan edge from node 4 to node 15 with capacity 13,\nan edge from node 5 to node 11 with capacity 4,\nan edge from node 5 to node 16 with capacity 12,\nan edge from node 6 to node 3 with capacity 11,\nan edge from node 6 to node 8 with capacity 18,\nan edge from node 6 to node 4 with capacity 10,\nan edge from node 6 to node 16 with capacity 13,\nan edge from node 7 to node 3 with capacity 11,\nan edge from node 7 to node 0 with capacity 15,\nan edge from node 7 to node 9 with capacity 13,\nan edge from node 7 to node 11 with capacity 3,\nan edge from node 8 to node 5 with capacity 1,\nan edge from node 8 to node 1 with capacity 14,\nan edge from node 8 to node 4 with capacity 3,\nan edge from node 8 to node 15 with capacity 12,\nan edge from node 9 to node 0 with capacity 5,\nan edge from node 9 to node 17 with capacity 20,\nan edge from node 9 to node 5 with capacity 17,\nan edge from node 9 to node 8 with capacity 18,\nan edge from node 9 to node 10 with capacity 12,\nan edge from node 9 to node 15 with capacity 12,\nan edge from node 10 to node 0 with capacity 3,\nan edge from node 10 to node 5 with capacity 3,\nan edge from node 10 to node 2 with capacity 12,\nan edge from node 11 to node 17 with capacity 13,\nan edge from node 11 to node 6 with capacity 7,\nan edge from node 11 to node 8 with capacity 16,\nan edge from node 11 to node 15 with capacity 7,\nan edge from node 11 to node 2 with capacity 14,\nan edge from node 12 to node 3 with capacity 14,\nan edge from node 12 to node 7 with capacity 4,\nan edge from node 12 to node 0 with capacity 6,\nan edge from node 12 to node 6 with capacity 17,\nan edge from node 12 to node 5 with capacity 15,\nan edge from node 12 to node 13 with capacity 20,\nan edge from node 12 to node 9 with capacity 16,\nan edge from node 12 to node 15 with capacity 1,\nan edge from node 12 to node 16 with capacity 18,\nan edge from node 13 to node 3 with capacity 7,\nan edge from node 13 to node 4 with capacity 3,\nan edge from node 14 to node 17 with capacity 2,\nan edge from node 14 to node 1 with capacity 10,\nan edge from node 14 to node 15 with capacity 7,\nan edge from node 15 to node 12 with capacity 13,\nan edge from node 15 to node 7 with capacity 7,\nan edge from node 15 to node 18 with capacity 18,\nan edge from node 15 to node 17 with capacity 13,\nan edge from node 15 to node 8 with capacity 13,\nan edge from node 15 to node 4 with capacity 15,\nan edge from node 15 to node 16 with capacity 12,\nan edge from node 15 to node 14 with capacity 3,\nan edge from node 15 to node 2 with capacity 4,\nan edge from node 16 to node 6 with capacity 11,\nan edge from node 16 to node 13 with capacity 2,\nan edge from node 16 to node 11 with capacity 6,\nan edge from node 17 to node 8 with capacity 2,\nan edge from node 17 to node 14 with capacity 18,\nan edge from node 18 to node 5 with capacity 17,\nan edge from node 18 to node 8 with capacity 1,\nWhat is the maximum flow from node 10 to node 5:"
            },
            {
                "from": "gpt",
                "value": "18."
            }
        ]
    },
    {
        "id": "flow-hard-graph552",
        "image": "data/flow/graph_visual/hard/graph552.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 8 with capacity 4,\nan edge from node 0 to node 11 with capacity 17,\nan edge from node 0 to node 9 with capacity 14,\nan edge from node 0 to node 13 with capacity 11,\nan edge from node 1 to node 2 with capacity 11,\nan edge from node 1 to node 0 with capacity 11,\nan edge from node 1 to node 13 with capacity 12,\nan edge from node 1 to node 7 with capacity 11,\nan edge from node 2 to node 4 with capacity 3,\nan edge from node 3 to node 0 with capacity 20,\nan edge from node 3 to node 13 with capacity 15,\nan edge from node 3 to node 14 with capacity 9,\nan edge from node 4 to node 14 with capacity 8,\nan edge from node 4 to node 3 with capacity 20,\nan edge from node 5 to node 8 with capacity 10,\nan edge from node 5 to node 4 with capacity 4,\nan edge from node 5 to node 11 with capacity 12,\nan edge from node 5 to node 6 with capacity 13,\nan edge from node 6 to node 1 with capacity 13,\nan edge from node 6 to node 12 with capacity 2,\nan edge from node 6 to node 14 with capacity 8,\nan edge from node 7 to node 12 with capacity 15,\nan edge from node 7 to node 10 with capacity 5,\nan edge from node 7 to node 9 with capacity 2,\nan edge from node 8 to node 12 with capacity 16,\nan edge from node 8 to node 0 with capacity 19,\nan edge from node 8 to node 10 with capacity 19,\nan edge from node 8 to node 6 with capacity 3,\nan edge from node 9 to node 5 with capacity 5,\nan edge from node 9 to node 13 with capacity 10,\nan edge from node 9 to node 14 with capacity 14,\nan edge from node 9 to node 7 with capacity 1,\nan edge from node 10 to node 4 with capacity 19,\nan edge from node 10 to node 5 with capacity 1,\nan edge from node 10 to node 9 with capacity 4,\nan edge from node 11 to node 1 with capacity 2,\nan edge from node 11 to node 12 with capacity 6,\nan edge from node 11 to node 4 with capacity 17,\nan edge from node 11 to node 6 with capacity 11,\nan edge from node 11 to node 7 with capacity 8,\nan edge from node 11 to node 3 with capacity 19,\nan edge from node 12 to node 1 with capacity 5,\nan edge from node 12 to node 9 with capacity 6,\nan edge from node 13 to node 2 with capacity 14,\nan edge from node 13 to node 1 with capacity 2,\nan edge from node 13 to node 0 with capacity 1,\nan edge from node 13 to node 14 with capacity 11,\nan edge from node 14 to node 2 with capacity 11,\nan edge from node 14 to node 8 with capacity 5,\nan edge from node 14 to node 6 with capacity 9,\nan edge from node 14 to node 5 with capacity 10,\nWhat is the maximum flow from node 9 to node 3:"
            },
            {
                "from": "gpt",
                "value": "30."
            }
        ]
    },
    {
        "id": "flow-hard-graph929",
        "image": "data/flow/graph_visual/hard/graph929.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 10 with capacity 14,\nan edge from node 0 to node 15 with capacity 7,\nan edge from node 0 to node 2 with capacity 15,\nan edge from node 0 to node 6 with capacity 16,\nan edge from node 0 to node 16 with capacity 9,\nan edge from node 0 to node 8 with capacity 2,\nan edge from node 1 to node 9 with capacity 18,\nan edge from node 1 to node 15 with capacity 4,\nan edge from node 1 to node 8 with capacity 20,\nan edge from node 2 to node 9 with capacity 8,\nan edge from node 2 to node 5 with capacity 8,\nan edge from node 2 to node 12 with capacity 8,\nan edge from node 2 to node 1 with capacity 11,\nan edge from node 2 to node 14 with capacity 20,\nan edge from node 2 to node 0 with capacity 5,\nan edge from node 3 to node 10 with capacity 4,\nan edge from node 3 to node 13 with capacity 13,\nan edge from node 3 to node 5 with capacity 2,\nan edge from node 3 to node 12 with capacity 11,\nan edge from node 3 to node 1 with capacity 3,\nan edge from node 3 to node 6 with capacity 13,\nan edge from node 3 to node 14 with capacity 10,\nan edge from node 4 to node 16 with capacity 19,\nan edge from node 5 to node 10 with capacity 12,\nan edge from node 5 to node 9 with capacity 13,\nan edge from node 5 to node 11 with capacity 5,\nan edge from node 5 to node 7 with capacity 14,\nan edge from node 6 to node 10 with capacity 3,\nan edge from node 6 to node 13 with capacity 3,\nan edge from node 6 to node 14 with capacity 2,\nan edge from node 7 to node 10 with capacity 20,\nan edge from node 7 to node 3 with capacity 7,\nan edge from node 7 to node 5 with capacity 4,\nan edge from node 7 to node 12 with capacity 11,\nan edge from node 7 to node 1 with capacity 13,\nan edge from node 8 to node 10 with capacity 7,\nan edge from node 8 to node 16 with capacity 19,\nan edge from node 9 to node 3 with capacity 7,\nan edge from node 9 to node 15 with capacity 17,\nan edge from node 9 to node 2 with capacity 2,\nan edge from node 10 to node 5 with capacity 13,\nan edge from node 10 to node 17 with capacity 16,\nan edge from node 11 to node 15 with capacity 5,\nan edge from node 11 to node 13 with capacity 16,\nan edge from node 11 to node 1 with capacity 4,\nan edge from node 12 to node 13 with capacity 20,\nan edge from node 12 to node 2 with capacity 12,\nan edge from node 12 to node 1 with capacity 18,\nan edge from node 12 to node 6 with capacity 13,\nan edge from node 13 to node 3 with capacity 19,\nan edge from node 13 to node 9 with capacity 18,\nan edge from node 13 to node 12 with capacity 14,\nan edge from node 13 to node 17 with capacity 13,\nan edge from node 13 to node 16 with capacity 6,\nan edge from node 14 to node 15 with capacity 2,\nan edge from node 14 to node 6 with capacity 4,\nan edge from node 14 to node 8 with capacity 9,\nan edge from node 15 to node 10 with capacity 4,\nan edge from node 15 to node 9 with capacity 18,\nan edge from node 15 to node 13 with capacity 1,\nan edge from node 15 to node 12 with capacity 10,\nan edge from node 15 to node 6 with capacity 2,\nan edge from node 15 to node 14 with capacity 4,\nan edge from node 15 to node 0 with capacity 17,\nan edge from node 16 to node 11 with capacity 1,\nan edge from node 16 to node 1 with capacity 20,\nan edge from node 16 to node 7 with capacity 12,\nan edge from node 17 to node 2 with capacity 11,\nWhat is the maximum flow from node 16 to node 7:"
            },
            {
                "from": "gpt",
                "value": "26."
            }
        ]
    },
    {
        "id": "flow-hard-graph1123",
        "image": "data/flow/graph_visual/hard/graph1123.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 9 with capacity 12,\nan edge from node 0 to node 5 with capacity 8,\nan edge from node 0 to node 7 with capacity 16,\nan edge from node 0 to node 16 with capacity 13,\nan edge from node 0 to node 10 with capacity 8,\nan edge from node 0 to node 1 with capacity 8,\nan edge from node 1 to node 4 with capacity 20,\nan edge from node 1 to node 13 with capacity 3,\nan edge from node 1 to node 5 with capacity 18,\nan edge from node 1 to node 7 with capacity 17,\nan edge from node 1 to node 2 with capacity 17,\nan edge from node 2 to node 8 with capacity 11,\nan edge from node 2 to node 18 with capacity 1,\nan edge from node 2 to node 6 with capacity 3,\nan edge from node 2 to node 1 with capacity 1,\nan edge from node 3 to node 13 with capacity 19,\nan edge from node 3 to node 5 with capacity 9,\nan edge from node 3 to node 1 with capacity 15,\nan edge from node 4 to node 3 with capacity 16,\nan edge from node 4 to node 17 with capacity 5,\nan edge from node 4 to node 12 with capacity 14,\nan edge from node 4 to node 11 with capacity 11,\nan edge from node 5 to node 9 with capacity 12,\nan edge from node 5 to node 17 with capacity 15,\nan edge from node 5 to node 15 with capacity 18,\nan edge from node 5 to node 16 with capacity 8,\nan edge from node 5 to node 12 with capacity 2,\nan edge from node 5 to node 19 with capacity 15,\nan edge from node 5 to node 11 with capacity 5,\nan edge from node 6 to node 3 with capacity 16,\nan edge from node 6 to node 14 with capacity 6,\nan edge from node 6 to node 10 with capacity 18,\nan edge from node 6 to node 19 with capacity 7,\nan edge from node 6 to node 1 with capacity 13,\nan edge from node 7 to node 15 with capacity 12,\nan edge from node 7 to node 0 with capacity 5,\nan edge from node 7 to node 19 with capacity 15,\nan edge from node 7 to node 11 with capacity 17,\nan edge from node 8 to node 0 with capacity 15,\nan edge from node 8 to node 7 with capacity 4,\nan edge from node 8 to node 14 with capacity 15,\nan edge from node 8 to node 10 with capacity 8,\nan edge from node 8 to node 2 with capacity 14,\nan edge from node 8 to node 1 with capacity 3,\nan edge from node 9 to node 4 with capacity 1,\nan edge from node 9 to node 3 with capacity 10,\nan edge from node 9 to node 12 with capacity 12,\nan edge from node 10 to node 18 with capacity 3,\nan edge from node 10 to node 5 with capacity 16,\nan edge from node 10 to node 1 with capacity 12,\nan edge from node 10 to node 11 with capacity 18,\nan edge from node 11 to node 9 with capacity 10,\nan edge from node 11 to node 13 with capacity 13,\nan edge from node 11 to node 3 with capacity 6,\nan edge from node 11 to node 6 with capacity 1,\nan edge from node 11 to node 15 with capacity 10,\nan edge from node 11 to node 19 with capacity 11,\nan edge from node 12 to node 6 with capacity 17,\nan edge from node 12 to node 0 with capacity 16,\nan edge from node 12 to node 14 with capacity 19,\nan edge from node 12 to node 10 with capacity 8,\nan edge from node 13 to node 3 with capacity 12,\nan edge from node 13 to node 17 with capacity 3,\nan edge from node 13 to node 7 with capacity 11,\nan edge from node 13 to node 12 with capacity 13,\nan edge from node 14 to node 4 with capacity 20,\nan edge from node 14 to node 6 with capacity 7,\nan edge from node 14 to node 7 with capacity 3,\nan edge from node 15 to node 13 with capacity 1,\nan edge from node 15 to node 3 with capacity 8,\nan edge from node 15 to node 7 with capacity 9,\nan edge from node 16 to node 9 with capacity 20,\nan edge from node 16 to node 13 with capacity 15,\nan edge from node 16 to node 17 with capacity 11,\nan edge from node 16 to node 2 with capacity 15,\nan edge from node 16 to node 1 with capacity 4,\nan edge from node 16 to node 11 with capacity 9,\nan edge from node 17 to node 9 with capacity 10,\nan edge from node 17 to node 3 with capacity 19,\nan edge from node 17 to node 15 with capacity 6,\nan edge from node 17 to node 5 with capacity 10,\nan edge from node 17 to node 19 with capacity 19,\nan edge from node 17 to node 11 with capacity 14,\nan edge from node 18 to node 4 with capacity 12,\nan edge from node 18 to node 15 with capacity 14,\nan edge from node 18 to node 14 with capacity 20,\nan edge from node 18 to node 12 with capacity 18,\nan edge from node 18 to node 19 with capacity 2,\nan edge from node 19 to node 9 with capacity 7,\nan edge from node 19 to node 8 with capacity 3,\nan edge from node 19 to node 6 with capacity 14,\nan edge from node 19 to node 7 with capacity 16,\nan edge from node 19 to node 10 with capacity 18,\nWhat is the maximum flow from node 7 to node 16:"
            },
            {
                "from": "gpt",
                "value": "21."
            }
        ]
    },
    {
        "id": "flow-hard-graph308",
        "image": "data/flow/graph_visual/hard/graph308.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 12 with capacity 5,\nan edge from node 1 to node 9 with capacity 2,\nan edge from node 1 to node 3 with capacity 16,\nan edge from node 2 to node 8 with capacity 13,\nan edge from node 2 to node 9 with capacity 4,\nan edge from node 2 to node 11 with capacity 17,\nan edge from node 2 to node 1 with capacity 2,\nan edge from node 2 to node 6 with capacity 7,\nan edge from node 3 to node 8 with capacity 20,\nan edge from node 3 to node 5 with capacity 10,\nan edge from node 4 to node 11 with capacity 9,\nan edge from node 4 to node 1 with capacity 12,\nan edge from node 4 to node 3 with capacity 20,\nan edge from node 4 to node 10 with capacity 8,\nan edge from node 5 to node 12 with capacity 14,\nan edge from node 5 to node 1 with capacity 7,\nan edge from node 5 to node 4 with capacity 4,\nan edge from node 6 to node 7 with capacity 12,\nan edge from node 7 to node 10 with capacity 10,\nan edge from node 8 to node 1 with capacity 15,\nan edge from node 8 to node 5 with capacity 3,\nan edge from node 9 to node 0 with capacity 14,\nan edge from node 9 to node 10 with capacity 18,\nan edge from node 10 to node 4 with capacity 8,\nan edge from node 11 to node 8 with capacity 17,\nan edge from node 11 to node 1 with capacity 13,\nan edge from node 12 to node 2 with capacity 8,\nWhat is the maximum flow from node 7 to node 8:"
            },
            {
                "from": "gpt",
                "value": "8."
            }
        ]
    },
    {
        "id": "flow-hard-graph1043",
        "image": "data/flow/graph_visual/hard/graph1043.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 15 with capacity 12,\nan edge from node 0 to node 13 with capacity 12,\nan edge from node 1 to node 12 with capacity 4,\nan edge from node 1 to node 11 with capacity 16,\nan edge from node 1 to node 16 with capacity 16,\nan edge from node 2 to node 18 with capacity 2,\nan edge from node 3 to node 12 with capacity 13,\nan edge from node 3 to node 7 with capacity 11,\nan edge from node 3 to node 4 with capacity 12,\nan edge from node 3 to node 1 with capacity 18,\nan edge from node 3 to node 18 with capacity 15,\nan edge from node 3 to node 14 with capacity 20,\nan edge from node 4 to node 12 with capacity 2,\nan edge from node 4 to node 8 with capacity 12,\nan edge from node 4 to node 0 with capacity 1,\nan edge from node 4 to node 2 with capacity 17,\nan edge from node 5 to node 8 with capacity 15,\nan edge from node 5 to node 3 with capacity 20,\nan edge from node 5 to node 11 with capacity 17,\nan edge from node 5 to node 13 with capacity 13,\nan edge from node 5 to node 16 with capacity 16,\nan edge from node 6 to node 17 with capacity 7,\nan edge from node 6 to node 13 with capacity 6,\nan edge from node 7 to node 15 with capacity 7,\nan edge from node 7 to node 3 with capacity 3,\nan edge from node 8 to node 12 with capacity 9,\nan edge from node 8 to node 7 with capacity 5,\nan edge from node 8 to node 3 with capacity 7,\nan edge from node 8 to node 4 with capacity 13,\nan edge from node 8 to node 14 with capacity 2,\nan edge from node 9 to node 6 with capacity 15,\nan edge from node 9 to node 3 with capacity 6,\nan edge from node 9 to node 1 with capacity 14,\nan edge from node 9 to node 11 with capacity 10,\nan edge from node 9 to node 5 with capacity 11,\nan edge from node 10 to node 15 with capacity 18,\nan edge from node 10 to node 4 with capacity 15,\nan edge from node 10 to node 0 with capacity 6,\nan edge from node 10 to node 14 with capacity 17,\nan edge from node 10 to node 16 with capacity 3,\nan edge from node 11 to node 7 with capacity 6,\nan edge from node 11 to node 4 with capacity 6,\nan edge from node 11 to node 13 with capacity 13,\nan edge from node 12 to node 15 with capacity 17,\nan edge from node 12 to node 10 with capacity 20,\nan edge from node 12 to node 7 with capacity 12,\nan edge from node 12 to node 14 with capacity 7,\nan edge from node 12 to node 16 with capacity 15,\nan edge from node 13 to node 18 with capacity 1,\nan edge from node 13 to node 5 with capacity 20,\nan edge from node 14 to node 15 with capacity 1,\nan edge from node 14 to node 10 with capacity 12,\nan edge from node 14 to node 11 with capacity 15,\nan edge from node 14 to node 5 with capacity 4,\nan edge from node 15 to node 3 with capacity 19,\nan edge from node 15 to node 18 with capacity 19,\nan edge from node 15 to node 16 with capacity 11,\nan edge from node 16 to node 4 with capacity 20,\nan edge from node 16 to node 1 with capacity 13,\nan edge from node 17 to node 15 with capacity 3,\nan edge from node 17 to node 7 with capacity 2,\nan edge from node 17 to node 6 with capacity 7,\nan edge from node 17 to node 3 with capacity 8,\nan edge from node 17 to node 18 with capacity 13,\nan edge from node 17 to node 0 with capacity 5,\nan edge from node 17 to node 14 with capacity 17,\nan edge from node 18 to node 10 with capacity 15,\nan edge from node 18 to node 1 with capacity 3,\nan edge from node 18 to node 16 with capacity 13,\nWhat is the maximum flow from node 7 to node 3:"
            },
            {
                "from": "gpt",
                "value": "10."
            }
        ]
    },
    {
        "id": "flow-hard-graph1051",
        "image": "data/flow/graph_visual/hard/graph1051.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 15 with capacity 9,\nan edge from node 0 to node 6 with capacity 5,\nan edge from node 1 to node 4 with capacity 5,\nan edge from node 1 to node 10 with capacity 11,\nan edge from node 1 to node 5 with capacity 11,\nan edge from node 1 to node 16 with capacity 17,\nan edge from node 2 to node 0 with capacity 6,\nan edge from node 2 to node 15 with capacity 16,\nan edge from node 2 to node 18 with capacity 11,\nan edge from node 2 to node 3 with capacity 15,\nan edge from node 3 to node 14 with capacity 6,\nan edge from node 3 to node 9 with capacity 19,\nan edge from node 3 to node 7 with capacity 15,\nan edge from node 4 to node 13 with capacity 2,\nan edge from node 4 to node 1 with capacity 12,\nan edge from node 4 to node 16 with capacity 17,\nan edge from node 4 to node 3 with capacity 15,\nan edge from node 4 to node 17 with capacity 2,\nan edge from node 5 to node 1 with capacity 12,\nan edge from node 5 to node 11 with capacity 1,\nan edge from node 5 to node 14 with capacity 20,\nan edge from node 5 to node 18 with capacity 8,\nan edge from node 5 to node 3 with capacity 5,\nan edge from node 6 to node 4 with capacity 12,\nan edge from node 6 to node 3 with capacity 6,\nan edge from node 6 to node 9 with capacity 13,\nan edge from node 7 to node 0 with capacity 9,\nan edge from node 7 to node 15 with capacity 15,\nan edge from node 7 to node 13 with capacity 20,\nan edge from node 7 to node 4 with capacity 11,\nan edge from node 7 to node 1 with capacity 3,\nan edge from node 7 to node 3 with capacity 20,\nan edge from node 8 to node 11 with capacity 11,\nan edge from node 8 to node 14 with capacity 20,\nan edge from node 8 to node 5 with capacity 5,\nan edge from node 8 to node 6 with capacity 4,\nan edge from node 9 to node 8 with capacity 19,\nan edge from node 9 to node 16 with capacity 12,\nan edge from node 10 to node 12 with capacity 10,\nan edge from node 10 to node 5 with capacity 19,\nan edge from node 10 to node 17 with capacity 17,\nan edge from node 11 to node 0 with capacity 2,\nan edge from node 11 to node 15 with capacity 6,\nan edge from node 11 to node 4 with capacity 16,\nan edge from node 11 to node 14 with capacity 3,\nan edge from node 11 to node 2 with capacity 17,\nan edge from node 11 to node 12 with capacity 4,\nan edge from node 11 to node 6 with capacity 10,\nan edge from node 12 to node 0 with capacity 9,\nan edge from node 12 to node 7 with capacity 14,\nan edge from node 13 to node 0 with capacity 16,\nan edge from node 13 to node 4 with capacity 8,\nan edge from node 13 to node 3 with capacity 8,\nan edge from node 14 to node 13 with capacity 3,\nan edge from node 14 to node 1 with capacity 9,\nan edge from node 14 to node 9 with capacity 16,\nan edge from node 15 to node 1 with capacity 19,\nan edge from node 15 to node 18 with capacity 18,\nan edge from node 15 to node 8 with capacity 5,\nan edge from node 15 to node 7 with capacity 7,\nan edge from node 16 to node 15 with capacity 10,\nan edge from node 16 to node 14 with capacity 3,\nan edge from node 16 to node 18 with capacity 18,\nan edge from node 16 to node 3 with capacity 4,\nan edge from node 17 to node 4 with capacity 5,\nan edge from node 17 to node 10 with capacity 8,\nan edge from node 17 to node 8 with capacity 17,\nan edge from node 17 to node 5 with capacity 9,\nan edge from node 17 to node 16 with capacity 12,\nan edge from node 18 to node 4 with capacity 1,\nan edge from node 18 to node 1 with capacity 11,\nan edge from node 18 to node 11 with capacity 5,\nan edge from node 18 to node 14 with capacity 1,\nan edge from node 18 to node 8 with capacity 3,\nan edge from node 18 to node 17 with capacity 14,\nan edge from node 18 to node 7 with capacity 6,\nWhat is the maximum flow from node 14 to node 17:"
            },
            {
                "from": "gpt",
                "value": "27."
            }
        ]
    },
    {
        "id": "flow-hard-graph595",
        "image": "data/flow/graph_visual/hard/graph595.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 7 with capacity 4,\nan edge from node 0 to node 10 with capacity 8,\nan edge from node 0 to node 6 with capacity 5,\nan edge from node 0 to node 1 with capacity 18,\nan edge from node 0 to node 14 with capacity 13,\nan edge from node 1 to node 2 with capacity 12,\nan edge from node 1 to node 8 with capacity 4,\nan edge from node 1 to node 14 with capacity 14,\nan edge from node 2 to node 8 with capacity 15,\nan edge from node 2 to node 12 with capacity 5,\nan edge from node 2 to node 14 with capacity 7,\nan edge from node 2 to node 4 with capacity 4,\nan edge from node 2 to node 0 with capacity 13,\nan edge from node 3 to node 10 with capacity 16,\nan edge from node 3 to node 8 with capacity 15,\nan edge from node 3 to node 13 with capacity 8,\nan edge from node 4 to node 10 with capacity 6,\nan edge from node 4 to node 9 with capacity 8,\nan edge from node 4 to node 3 with capacity 3,\nan edge from node 5 to node 7 with capacity 4,\nan edge from node 5 to node 10 with capacity 5,\nan edge from node 5 to node 6 with capacity 8,\nan edge from node 5 to node 2 with capacity 12,\nan edge from node 5 to node 1 with capacity 16,\nan edge from node 5 to node 9 with capacity 20,\nan edge from node 5 to node 12 with capacity 14,\nan edge from node 5 to node 11 with capacity 13,\nan edge from node 5 to node 14 with capacity 15,\nan edge from node 5 to node 0 with capacity 19,\nan edge from node 6 to node 13 with capacity 10,\nan edge from node 6 to node 11 with capacity 14,\nan edge from node 6 to node 14 with capacity 14,\nan edge from node 7 to node 8 with capacity 4,\nan edge from node 9 to node 7 with capacity 13,\nan edge from node 9 to node 6 with capacity 16,\nan edge from node 9 to node 1 with capacity 7,\nan edge from node 9 to node 13 with capacity 14,\nan edge from node 9 to node 14 with capacity 4,\nan edge from node 10 to node 9 with capacity 3,\nan edge from node 10 to node 13 with capacity 9,\nan edge from node 10 to node 12 with capacity 2,\nan edge from node 11 to node 2 with capacity 5,\nan edge from node 11 to node 3 with capacity 13,\nan edge from node 12 to node 10 with capacity 4,\nan edge from node 12 to node 9 with capacity 2,\nan edge from node 12 to node 14 with capacity 11,\nan edge from node 12 to node 0 with capacity 20,\nan edge from node 13 to node 7 with capacity 11,\nan edge from node 13 to node 12 with capacity 18,\nan edge from node 14 to node 6 with capacity 3,\nan edge from node 14 to node 5 with capacity 2,\nan edge from node 14 to node 13 with capacity 4,\nan edge from node 14 to node 12 with capacity 5,\nan edge from node 14 to node 11 with capacity 9,\nan edge from node 14 to node 4 with capacity 20,\nan edge from node 14 to node 0 with capacity 20,\nWhat is the maximum flow from node 11 to node 4:"
            },
            {
                "from": "gpt",
                "value": "18."
            }
        ]
    },
    {
        "id": "flow-hard-graph1000",
        "image": "data/flow/graph_visual/hard/graph1000.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 11 with capacity 6,\nan edge from node 0 to node 7 with capacity 7,\nan edge from node 0 to node 9 with capacity 7,\nan edge from node 1 to node 16 with capacity 11,\nan edge from node 1 to node 15 with capacity 17,\nan edge from node 1 to node 8 with capacity 18,\nan edge from node 1 to node 13 with capacity 4,\nan edge from node 2 to node 6 with capacity 3,\nan edge from node 2 to node 7 with capacity 19,\nan edge from node 2 to node 14 with capacity 15,\nan edge from node 2 to node 13 with capacity 4,\nan edge from node 3 to node 6 with capacity 15,\nan edge from node 3 to node 8 with capacity 12,\nan edge from node 3 to node 14 with capacity 11,\nan edge from node 3 to node 13 with capacity 9,\nan edge from node 4 to node 16 with capacity 9,\nan edge from node 4 to node 5 with capacity 1,\nan edge from node 4 to node 11 with capacity 1,\nan edge from node 4 to node 14 with capacity 12,\nan edge from node 4 to node 3 with capacity 15,\nan edge from node 5 to node 12 with capacity 9,\nan edge from node 5 to node 11 with capacity 15,\nan edge from node 5 to node 7 with capacity 8,\nan edge from node 5 to node 4 with capacity 20,\nan edge from node 5 to node 17 with capacity 16,\nan edge from node 5 to node 14 with capacity 1,\nan edge from node 5 to node 18 with capacity 14,\nan edge from node 6 to node 13 with capacity 11,\nan edge from node 7 to node 5 with capacity 15,\nan edge from node 7 to node 9 with capacity 19,\nan edge from node 8 to node 12 with capacity 20,\nan edge from node 8 to node 2 with capacity 6,\nan edge from node 8 to node 10 with capacity 14,\nan edge from node 8 to node 5 with capacity 10,\nan edge from node 8 to node 6 with capacity 9,\nan edge from node 8 to node 7 with capacity 17,\nan edge from node 8 to node 18 with capacity 18,\nan edge from node 9 to node 2 with capacity 1,\nan edge from node 9 to node 6 with capacity 17,\nan edge from node 9 to node 8 with capacity 8,\nan edge from node 10 to node 2 with capacity 8,\nan edge from node 10 to node 3 with capacity 1,\nan edge from node 11 to node 5 with capacity 1,\nan edge from node 11 to node 3 with capacity 15,\nan edge from node 11 to node 9 with capacity 14,\nan edge from node 12 to node 16 with capacity 3,\nan edge from node 12 to node 10 with capacity 10,\nan edge from node 12 to node 5 with capacity 2,\nan edge from node 12 to node 7 with capacity 10,\nan edge from node 12 to node 8 with capacity 12,\nan edge from node 12 to node 0 with capacity 7,\nan edge from node 13 to node 10 with capacity 7,\nan edge from node 13 to node 14 with capacity 19,\nan edge from node 13 to node 3 with capacity 10,\nan edge from node 14 to node 2 with capacity 13,\nan edge from node 14 to node 5 with capacity 9,\nan edge from node 14 to node 1 with capacity 10,\nan edge from node 14 to node 8 with capacity 8,\nan edge from node 14 to node 18 with capacity 12,\nan edge from node 15 to node 12 with capacity 6,\nan edge from node 15 to node 1 with capacity 12,\nan edge from node 15 to node 8 with capacity 14,\nan edge from node 15 to node 3 with capacity 17,\nan edge from node 16 to node 5 with capacity 11,\nan edge from node 16 to node 7 with capacity 9,\nan edge from node 16 to node 4 with capacity 12,\nan edge from node 17 to node 5 with capacity 2,\nan edge from node 17 to node 11 with capacity 1,\nan edge from node 17 to node 8 with capacity 10,\nan edge from node 18 to node 10 with capacity 20,\nan edge from node 18 to node 7 with capacity 11,\nan edge from node 18 to node 0 with capacity 18,\nWhat is the maximum flow from node 8 to node 1:"
            },
            {
                "from": "gpt",
                "value": "10."
            }
        ]
    },
    {
        "id": "flow-hard-graph15",
        "image": "data/flow/graph_visual/hard/graph15.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 3 with capacity 7,\nan edge from node 1 to node 6 with capacity 19,\nan edge from node 2 to node 9 with capacity 10,\nan edge from node 2 to node 8 with capacity 17,\nan edge from node 2 to node 6 with capacity 16,\nan edge from node 3 to node 6 with capacity 13,\nan edge from node 3 to node 10 with capacity 11,\nan edge from node 3 to node 2 with capacity 12,\nan edge from node 3 to node 7 with capacity 5,\nan edge from node 4 to node 9 with capacity 17,\nan edge from node 6 to node 8 with capacity 10,\nan edge from node 6 to node 5 with capacity 5,\nan edge from node 7 to node 0 with capacity 16,\nan edge from node 7 to node 4 with capacity 8,\nan edge from node 8 to node 6 with capacity 2,\nan edge from node 8 to node 1 with capacity 11,\nan edge from node 9 to node 4 with capacity 6,\nWhat is the maximum flow from node 7 to node 8:"
            },
            {
                "from": "gpt",
                "value": "7."
            }
        ]
    },
    {
        "id": "flow-hard-graph383",
        "image": "data/flow/graph_visual/hard/graph383.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 3 with capacity 17,\nan edge from node 0 to node 11 with capacity 4,\nan edge from node 0 to node 4 with capacity 7,\nan edge from node 1 to node 5 with capacity 19,\nan edge from node 1 to node 11 with capacity 4,\nan edge from node 2 to node 3 with capacity 3,\nan edge from node 2 to node 5 with capacity 18,\nan edge from node 3 to node 6 with capacity 16,\nan edge from node 4 to node 8 with capacity 9,\nan edge from node 4 to node 13 with capacity 15,\nan edge from node 5 to node 2 with capacity 4,\nan edge from node 5 to node 3 with capacity 14,\nan edge from node 5 to node 1 with capacity 11,\nan edge from node 5 to node 8 with capacity 10,\nan edge from node 5 to node 11 with capacity 8,\nan edge from node 5 to node 12 with capacity 16,\nan edge from node 6 to node 5 with capacity 8,\nan edge from node 6 to node 10 with capacity 7,\nan edge from node 6 to node 13 with capacity 1,\nan edge from node 6 to node 4 with capacity 4,\nan edge from node 7 to node 3 with capacity 7,\nan edge from node 7 to node 6 with capacity 4,\nan edge from node 8 to node 10 with capacity 1,\nan edge from node 8 to node 9 with capacity 17,\nan edge from node 9 to node 3 with capacity 4,\nan edge from node 9 to node 10 with capacity 13,\nan edge from node 9 to node 8 with capacity 3,\nan edge from node 9 to node 11 with capacity 14,\nan edge from node 10 to node 5 with capacity 5,\nan edge from node 10 to node 13 with capacity 19,\nan edge from node 10 to node 4 with capacity 10,\nan edge from node 10 to node 6 with capacity 16,\nan edge from node 11 to node 2 with capacity 4,\nan edge from node 11 to node 3 with capacity 15,\nan edge from node 11 to node 5 with capacity 4,\nan edge from node 11 to node 10 with capacity 12,\nan edge from node 11 to node 12 with capacity 5,\nan edge from node 11 to node 6 with capacity 15,\nan edge from node 12 to node 1 with capacity 7,\nan edge from node 12 to node 0 with capacity 8,\nan edge from node 12 to node 11 with capacity 11,\nan edge from node 12 to node 9 with capacity 10,\nan edge from node 13 to node 7 with capacity 13,\nan edge from node 13 to node 3 with capacity 5,\nan edge from node 13 to node 11 with capacity 4,\nan edge from node 13 to node 9 with capacity 5,\nan edge from node 13 to node 4 with capacity 17,\nan edge from node 13 to node 12 with capacity 9,\nWhat is the maximum flow from node 3 to node 2:"
            },
            {
                "from": "gpt",
                "value": "8."
            }
        ]
    },
    {
        "id": "flow-hard-graph941",
        "image": "data/flow/graph_visual/hard/graph941.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 9 with capacity 14,\nan edge from node 0 to node 2 with capacity 19,\nan edge from node 0 to node 10 with capacity 1,\nan edge from node 0 to node 3 with capacity 3,\nan edge from node 0 to node 8 with capacity 5,\nan edge from node 0 to node 12 with capacity 5,\nan edge from node 0 to node 6 with capacity 18,\nan edge from node 1 to node 9 with capacity 1,\nan edge from node 1 to node 2 with capacity 9,\nan edge from node 1 to node 17 with capacity 2,\nan edge from node 1 to node 5 with capacity 19,\nan edge from node 1 to node 15 with capacity 14,\nan edge from node 2 to node 0 with capacity 16,\nan edge from node 2 to node 13 with capacity 19,\nan edge from node 2 to node 16 with capacity 4,\nan edge from node 3 to node 4 with capacity 20,\nan edge from node 3 to node 0 with capacity 14,\nan edge from node 3 to node 10 with capacity 2,\nan edge from node 3 to node 13 with capacity 14,\nan edge from node 3 to node 14 with capacity 5,\nan edge from node 3 to node 15 with capacity 18,\nan edge from node 4 to node 7 with capacity 8,\nan edge from node 4 to node 12 with capacity 14,\nan edge from node 4 to node 16 with capacity 11,\nan edge from node 4 to node 15 with capacity 20,\nan edge from node 5 to node 0 with capacity 11,\nan edge from node 5 to node 13 with capacity 11,\nan edge from node 5 to node 12 with capacity 15,\nan edge from node 5 to node 6 with capacity 17,\nan edge from node 5 to node 16 with capacity 3,\nan edge from node 6 to node 11 with capacity 17,\nan edge from node 6 to node 2 with capacity 18,\nan edge from node 6 to node 13 with capacity 19,\nan edge from node 6 to node 8 with capacity 12,\nan edge from node 6 to node 12 with capacity 16,\nan edge from node 6 to node 1 with capacity 10,\nan edge from node 6 to node 16 with capacity 2,\nan edge from node 7 to node 0 with capacity 15,\nan edge from node 7 to node 10 with capacity 17,\nan edge from node 7 to node 16 with capacity 18,\nan edge from node 8 to node 17 with capacity 6,\nan edge from node 8 to node 16 with capacity 8,\nan edge from node 8 to node 15 with capacity 10,\nan edge from node 9 to node 1 with capacity 4,\nan edge from node 9 to node 14 with capacity 5,\nan edge from node 9 to node 16 with capacity 7,\nan edge from node 9 to node 15 with capacity 16,\nan edge from node 10 to node 0 with capacity 17,\nan edge from node 10 to node 9 with capacity 8,\nan edge from node 10 to node 2 with capacity 13,\nan edge from node 10 to node 3 with capacity 20,\nan edge from node 10 to node 13 with capacity 17,\nan edge from node 10 to node 1 with capacity 1,\nan edge from node 10 to node 5 with capacity 14,\nan edge from node 10 to node 16 with capacity 15,\nan edge from node 11 to node 3 with capacity 5,\nan edge from node 12 to node 0 with capacity 5,\nan edge from node 12 to node 9 with capacity 10,\nan edge from node 12 to node 2 with capacity 3,\nan edge from node 12 to node 3 with capacity 4,\nan edge from node 12 to node 1 with capacity 15,\nan edge from node 12 to node 15 with capacity 10,\nan edge from node 13 to node 9 with capacity 9,\nan edge from node 13 to node 8 with capacity 19,\nan edge from node 14 to node 13 with capacity 11,\nan edge from node 14 to node 8 with capacity 17,\nan edge from node 14 to node 16 with capacity 14,\nan edge from node 14 to node 15 with capacity 12,\nan edge from node 15 to node 4 with capacity 20,\nan edge from node 15 to node 11 with capacity 3,\nan edge from node 15 to node 2 with capacity 9,\nan edge from node 15 to node 3 with capacity 6,\nan edge from node 15 to node 12 with capacity 7,\nan edge from node 16 to node 0 with capacity 16,\nan edge from node 16 to node 3 with capacity 17,\nan edge from node 16 to node 1 with capacity 3,\nan edge from node 16 to node 5 with capacity 1,\nan edge from node 16 to node 15 with capacity 3,\nan edge from node 17 to node 9 with capacity 4,\nan edge from node 17 to node 13 with capacity 20,\nan edge from node 17 to node 12 with capacity 20,\nan edge from node 17 to node 15 with capacity 6,\nWhat is the maximum flow from node 15 to node 13:"
            },
            {
                "from": "gpt",
                "value": "45."
            }
        ]
    },
    {
        "id": "flow-hard-graph790",
        "image": "data/flow/graph_visual/hard/graph790.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 10 with capacity 6,\nan edge from node 0 to node 5 with capacity 16,\nan edge from node 0 to node 12 with capacity 10,\nan edge from node 1 to node 10 with capacity 17,\nan edge from node 1 to node 2 with capacity 20,\nan edge from node 1 to node 16 with capacity 15,\nan edge from node 1 to node 15 with capacity 20,\nan edge from node 2 to node 6 with capacity 18,\nan edge from node 3 to node 14 with capacity 2,\nan edge from node 3 to node 6 with capacity 11,\nan edge from node 3 to node 2 with capacity 16,\nan edge from node 3 to node 5 with capacity 7,\nan edge from node 3 to node 4 with capacity 8,\nan edge from node 3 to node 1 with capacity 11,\nan edge from node 3 to node 12 with capacity 14,\nan edge from node 3 to node 9 with capacity 4,\nan edge from node 4 to node 13 with capacity 9,\nan edge from node 4 to node 5 with capacity 12,\nan edge from node 4 to node 7 with capacity 10,\nan edge from node 4 to node 12 with capacity 19,\nan edge from node 5 to node 0 with capacity 15,\nan edge from node 5 to node 3 with capacity 19,\nan edge from node 5 to node 7 with capacity 7,\nan edge from node 6 to node 0 with capacity 18,\nan edge from node 6 to node 5 with capacity 1,\nan edge from node 6 to node 15 with capacity 7,\nan edge from node 7 to node 10 with capacity 9,\nan edge from node 7 to node 2 with capacity 13,\nan edge from node 7 to node 0 with capacity 3,\nan edge from node 7 to node 5 with capacity 19,\nan edge from node 7 to node 4 with capacity 20,\nan edge from node 7 to node 15 with capacity 15,\nan edge from node 7 to node 1 with capacity 14,\nan edge from node 7 to node 9 with capacity 4,\nan edge from node 8 to node 6 with capacity 4,\nan edge from node 8 to node 3 with capacity 4,\nan edge from node 8 to node 7 with capacity 8,\nan edge from node 8 to node 12 with capacity 18,\nan edge from node 9 to node 13 with capacity 7,\nan edge from node 9 to node 4 with capacity 18,\nan edge from node 9 to node 3 with capacity 8,\nan edge from node 9 to node 1 with capacity 12,\nan edge from node 10 to node 14 with capacity 11,\nan edge from node 10 to node 15 with capacity 11,\nan edge from node 10 to node 12 with capacity 9,\nan edge from node 11 to node 6 with capacity 10,\nan edge from node 11 to node 0 with capacity 8,\nan edge from node 11 to node 3 with capacity 9,\nan edge from node 11 to node 7 with capacity 11,\nan edge from node 11 to node 9 with capacity 2,\nan edge from node 12 to node 11 with capacity 20,\nan edge from node 12 to node 10 with capacity 10,\nan edge from node 12 to node 0 with capacity 3,\nan edge from node 12 to node 15 with capacity 4,\nan edge from node 12 to node 9 with capacity 20,\nan edge from node 13 to node 0 with capacity 18,\nan edge from node 13 to node 5 with capacity 18,\nan edge from node 13 to node 4 with capacity 17,\nan edge from node 13 to node 1 with capacity 19,\nan edge from node 14 to node 10 with capacity 16,\nan edge from node 14 to node 3 with capacity 13,\nan edge from node 14 to node 12 with capacity 6,\nan edge from node 15 to node 9 with capacity 14,\nan edge from node 16 to node 10 with capacity 6,\nan edge from node 16 to node 15 with capacity 19,\nan edge from node 16 to node 12 with capacity 15,\nan edge from node 16 to node 9 with capacity 17,\nWhat is the maximum flow from node 13 to node 14:"
            },
            {
                "from": "gpt",
                "value": "13."
            }
        ]
    },
    {
        "id": "flow-hard-graph442",
        "image": "data/flow/graph_visual/hard/graph442.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 3 with capacity 8,\nan edge from node 0 to node 8 with capacity 9,\nan edge from node 0 to node 10 with capacity 15,\nan edge from node 1 to node 4 with capacity 17,\nan edge from node 1 to node 2 with capacity 15,\nan edge from node 1 to node 8 with capacity 11,\nan edge from node 1 to node 0 with capacity 4,\nan edge from node 2 to node 7 with capacity 3,\nan edge from node 2 to node 6 with capacity 10,\nan edge from node 2 to node 9 with capacity 8,\nan edge from node 2 to node 4 with capacity 20,\nan edge from node 2 to node 11 with capacity 5,\nan edge from node 3 to node 6 with capacity 3,\nan edge from node 3 to node 12 with capacity 11,\nan edge from node 4 to node 6 with capacity 14,\nan edge from node 4 to node 8 with capacity 3,\nan edge from node 4 to node 11 with capacity 14,\nan edge from node 5 to node 6 with capacity 5,\nan edge from node 5 to node 4 with capacity 18,\nan edge from node 5 to node 11 with capacity 14,\nan edge from node 5 to node 1 with capacity 1,\nan edge from node 5 to node 0 with capacity 2,\nan edge from node 6 to node 11 with capacity 17,\nan edge from node 7 to node 11 with capacity 4,\nan edge from node 8 to node 6 with capacity 18,\nan edge from node 8 to node 11 with capacity 2,\nan edge from node 9 to node 3 with capacity 16,\nan edge from node 9 to node 4 with capacity 20,\nan edge from node 9 to node 2 with capacity 5,\nan edge from node 9 to node 0 with capacity 9,\nan edge from node 10 to node 3 with capacity 10,\nan edge from node 10 to node 6 with capacity 18,\nan edge from node 10 to node 9 with capacity 7,\nan edge from node 10 to node 5 with capacity 15,\nan edge from node 10 to node 8 with capacity 3,\nan edge from node 10 to node 12 with capacity 18,\nan edge from node 11 to node 4 with capacity 4,\nan edge from node 11 to node 1 with capacity 5,\nan edge from node 12 to node 6 with capacity 5,\nan edge from node 12 to node 4 with capacity 16,\nan edge from node 12 to node 0 with capacity 3,\nWhat is the maximum flow from node 6 to node 5:"
            },
            {
                "from": "gpt",
                "value": "5."
            }
        ]
    },
    {
        "id": "flow-hard-graph145",
        "image": "data/flow/graph_visual/hard/graph145.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 3 with capacity 8,\nan edge from node 0 to node 11 with capacity 16,\nan edge from node 0 to node 2 with capacity 3,\nan edge from node 1 to node 5 with capacity 3,\nan edge from node 1 to node 6 with capacity 6,\nan edge from node 2 to node 5 with capacity 13,\nan edge from node 2 to node 7 with capacity 7,\nan edge from node 3 to node 10 with capacity 10,\nan edge from node 3 to node 2 with capacity 15,\nan edge from node 4 to node 3 with capacity 8,\nan edge from node 4 to node 0 with capacity 12,\nan edge from node 5 to node 1 with capacity 13,\nan edge from node 5 to node 11 with capacity 11,\nan edge from node 5 to node 9 with capacity 19,\nan edge from node 5 to node 6 with capacity 8,\nan edge from node 6 to node 8 with capacity 9,\nan edge from node 6 to node 3 with capacity 12,\nan edge from node 6 to node 10 with capacity 4,\nan edge from node 6 to node 11 with capacity 2,\nan edge from node 6 to node 2 with capacity 9,\nan edge from node 6 to node 9 with capacity 11,\nan edge from node 7 to node 11 with capacity 8,\nan edge from node 7 to node 6 with capacity 7,\nan edge from node 8 to node 3 with capacity 15,\nan edge from node 8 to node 11 with capacity 7,\nan edge from node 8 to node 9 with capacity 3,\nan edge from node 9 to node 5 with capacity 19,\nan edge from node 9 to node 4 with capacity 8,\nan edge from node 9 to node 2 with capacity 18,\nan edge from node 10 to node 5 with capacity 10,\nan edge from node 10 to node 8 with capacity 17,\nan edge from node 10 to node 11 with capacity 11,\nan edge from node 10 to node 0 with capacity 15,\nan edge from node 10 to node 6 with capacity 9,\nan edge from node 11 to node 10 with capacity 16,\nan edge from node 11 to node 4 with capacity 20,\nan edge from node 11 to node 2 with capacity 9,\nan edge from node 11 to node 0 with capacity 2,\nWhat is the maximum flow from node 0 to node 11:"
            },
            {
                "from": "gpt",
                "value": "27."
            }
        ]
    },
    {
        "id": "flow-hard-graph248",
        "image": "data/flow/graph_visual/hard/graph248.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 9 with capacity 17,\nan edge from node 0 to node 7 with capacity 7,\nan edge from node 0 to node 11 with capacity 19,\nan edge from node 1 to node 9 with capacity 20,\nan edge from node 1 to node 0 with capacity 20,\nan edge from node 1 to node 10 with capacity 12,\nan edge from node 2 to node 4 with capacity 20,\nan edge from node 2 to node 9 with capacity 10,\nan edge from node 2 to node 5 with capacity 11,\nan edge from node 2 to node 3 with capacity 8,\nan edge from node 2 to node 11 with capacity 20,\nan edge from node 3 to node 4 with capacity 13,\nan edge from node 3 to node 9 with capacity 20,\nan edge from node 3 to node 7 with capacity 19,\nan edge from node 3 to node 8 with capacity 7,\nan edge from node 4 to node 9 with capacity 16,\nan edge from node 4 to node 7 with capacity 18,\nan edge from node 4 to node 8 with capacity 20,\nan edge from node 4 to node 12 with capacity 18,\nan edge from node 5 to node 2 with capacity 7,\nan edge from node 5 to node 9 with capacity 15,\nan edge from node 5 to node 3 with capacity 5,\nan edge from node 5 to node 11 with capacity 15,\nan edge from node 5 to node 12 with capacity 12,\nan edge from node 6 to node 5 with capacity 11,\nan edge from node 6 to node 0 with capacity 19,\nan edge from node 6 to node 11 with capacity 8,\nan edge from node 6 to node 12 with capacity 17,\nan edge from node 7 to node 2 with capacity 17,\nan edge from node 7 to node 0 with capacity 1,\nan edge from node 7 to node 3 with capacity 8,\nan edge from node 8 to node 4 with capacity 16,\nan edge from node 8 to node 1 with capacity 13,\nan edge from node 8 to node 9 with capacity 13,\nan edge from node 8 to node 11 with capacity 17,\nan edge from node 8 to node 6 with capacity 10,\nan edge from node 9 to node 4 with capacity 16,\nan edge from node 9 to node 6 with capacity 4,\nan edge from node 10 to node 2 with capacity 8,\nan edge from node 10 to node 11 with capacity 6,\nan edge from node 10 to node 12 with capacity 9,\nan edge from node 11 to node 5 with capacity 5,\nan edge from node 11 to node 3 with capacity 19,\nan edge from node 11 to node 8 with capacity 9,\nan edge from node 11 to node 12 with capacity 4,\nan edge from node 12 to node 5 with capacity 11,\nan edge from node 12 to node 0 with capacity 4,\nan edge from node 12 to node 3 with capacity 19,\nan edge from node 12 to node 8 with capacity 6,\nWhat is the maximum flow from node 6 to node 4:"
            },
            {
                "from": "gpt",
                "value": "55."
            }
        ]
    },
    {
        "id": "flow-hard-graph1185",
        "image": "data/flow/graph_visual/hard/graph1185.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 5 with capacity 9,\nan edge from node 0 to node 7 with capacity 13,\nan edge from node 0 to node 15 with capacity 3,\nan edge from node 0 to node 6 with capacity 2,\nan edge from node 1 to node 8 with capacity 1,\nan edge from node 1 to node 2 with capacity 13,\nan edge from node 1 to node 11 with capacity 4,\nan edge from node 1 to node 15 with capacity 1,\nan edge from node 2 to node 18 with capacity 10,\nan edge from node 2 to node 5 with capacity 20,\nan edge from node 2 to node 16 with capacity 6,\nan edge from node 2 to node 12 with capacity 10,\nan edge from node 2 to node 6 with capacity 13,\nan edge from node 2 to node 9 with capacity 10,\nan edge from node 3 to node 17 with capacity 20,\nan edge from node 3 to node 16 with capacity 14,\nan edge from node 3 to node 6 with capacity 16,\nan edge from node 3 to node 14 with capacity 7,\nan edge from node 4 to node 18 with capacity 20,\nan edge from node 4 to node 7 with capacity 18,\nan edge from node 4 to node 10 with capacity 2,\nan edge from node 4 to node 16 with capacity 10,\nan edge from node 4 to node 6 with capacity 17,\nan edge from node 5 to node 18 with capacity 14,\nan edge from node 5 to node 12 with capacity 18,\nan edge from node 5 to node 13 with capacity 15,\nan edge from node 6 to node 18 with capacity 17,\nan edge from node 6 to node 1 with capacity 9,\nan edge from node 6 to node 11 with capacity 7,\nan edge from node 6 to node 15 with capacity 3,\nan edge from node 7 to node 17 with capacity 17,\nan edge from node 7 to node 12 with capacity 16,\nan edge from node 7 to node 0 with capacity 1,\nan edge from node 7 to node 11 with capacity 19,\nan edge from node 7 to node 6 with capacity 15,\nan edge from node 7 to node 14 with capacity 15,\nan edge from node 8 to node 17 with capacity 6,\nan edge from node 8 to node 2 with capacity 15,\nan edge from node 8 to node 18 with capacity 7,\nan edge from node 8 to node 3 with capacity 7,\nan edge from node 8 to node 16 with capacity 7,\nan edge from node 8 to node 0 with capacity 14,\nan edge from node 8 to node 1 with capacity 16,\nan edge from node 8 to node 14 with capacity 19,\nan edge from node 9 to node 17 with capacity 12,\nan edge from node 9 to node 18 with capacity 1,\nan edge from node 9 to node 12 with capacity 9,\nan edge from node 9 to node 0 with capacity 17,\nan edge from node 9 to node 4 with capacity 16,\nan edge from node 9 to node 1 with capacity 11,\nan edge from node 9 to node 11 with capacity 17,\nan edge from node 10 to node 17 with capacity 13,\nan edge from node 10 to node 19 with capacity 9,\nan edge from node 10 to node 3 with capacity 4,\nan edge from node 10 to node 12 with capacity 3,\nan edge from node 10 to node 1 with capacity 7,\nan edge from node 10 to node 15 with capacity 19,\nan edge from node 10 to node 9 with capacity 2,\nan edge from node 11 to node 17 with capacity 3,\nan edge from node 11 to node 8 with capacity 16,\nan edge from node 11 to node 16 with capacity 12,\nan edge from node 11 to node 4 with capacity 14,\nan edge from node 11 to node 1 with capacity 4,\nan edge from node 12 to node 17 with capacity 15,\nan edge from node 12 to node 18 with capacity 16,\nan edge from node 12 to node 16 with capacity 18,\nan edge from node 12 to node 0 with capacity 13,\nan edge from node 13 to node 18 with capacity 4,\nan edge from node 13 to node 5 with capacity 13,\nan edge from node 13 to node 7 with capacity 13,\nan edge from node 13 to node 10 with capacity 2,\nan edge from node 13 to node 1 with capacity 4,\nan edge from node 14 to node 17 with capacity 13,\nan edge from node 14 to node 8 with capacity 15,\nan edge from node 14 to node 16 with capacity 5,\nan edge from node 14 to node 0 with capacity 11,\nan edge from node 15 to node 19 with capacity 17,\nan edge from node 15 to node 18 with capacity 11,\nan edge from node 15 to node 5 with capacity 8,\nan edge from node 15 to node 10 with capacity 20,\nan edge from node 15 to node 3 with capacity 12,\nan edge from node 15 to node 14 with capacity 17,\nan edge from node 15 to node 9 with capacity 4,\nan edge from node 16 to node 18 with capacity 6,\nan edge from node 16 to node 10 with capacity 9,\nan edge from node 16 to node 14 with capacity 13,\nan edge from node 17 to node 2 with capacity 9,\nan edge from node 17 to node 19 with capacity 19,\nan edge from node 17 to node 5 with capacity 19,\nan edge from node 17 to node 10 with capacity 6,\nan edge from node 17 to node 3 with capacity 10,\nan edge from node 17 to node 16 with capacity 18,\nan edge from node 17 to node 12 with capacity 13,\nan edge from node 17 to node 15 with capacity 3,\nan edge from node 17 to node 13 with capacity 10,\nan edge from node 18 to node 19 with capacity 7,\nan edge from node 18 to node 12 with capacity 5,\nan edge from node 18 to node 1 with capacity 14,\nan edge from node 18 to node 15 with capacity 9,\nan edge from node 18 to node 6 with capacity 10,\nan edge from node 18 to node 14 with capacity 5,\nan edge from node 18 to node 9 with capacity 1,\nan edge from node 19 to node 2 with capacity 3,\nan edge from node 19 to node 18 with capacity 14,\nan edge from node 19 to node 11 with capacity 20,\nan edge from node 19 to node 14 with capacity 12,\nWhat is the maximum flow from node 0 to node 11:"
            },
            {
                "from": "gpt",
                "value": "27."
            }
        ]
    },
    {
        "id": "flow-hard-graph130",
        "image": "data/flow/graph_visual/hard/graph130.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 1 with capacity 14,\nan edge from node 0 to node 10 with capacity 14,\nan edge from node 0 to node 6 with capacity 6,\nan edge from node 1 to node 9 with capacity 8,\nan edge from node 2 to node 6 with capacity 5,\nan edge from node 2 to node 3 with capacity 18,\nan edge from node 3 to node 5 with capacity 11,\nan edge from node 3 to node 1 with capacity 16,\nan edge from node 3 to node 0 with capacity 15,\nan edge from node 3 to node 4 with capacity 10,\nan edge from node 3 to node 2 with capacity 15,\nan edge from node 3 to node 7 with capacity 13,\nan edge from node 4 to node 5 with capacity 17,\nan edge from node 5 to node 9 with capacity 19,\nan edge from node 5 to node 2 with capacity 20,\nan edge from node 6 to node 1 with capacity 15,\nan edge from node 6 to node 11 with capacity 7,\nan edge from node 6 to node 3 with capacity 11,\nan edge from node 7 to node 5 with capacity 5,\nan edge from node 7 to node 1 with capacity 11,\nan edge from node 7 to node 10 with capacity 2,\nan edge from node 7 to node 8 with capacity 9,\nan edge from node 8 to node 0 with capacity 1,\nan edge from node 8 to node 3 with capacity 17,\nan edge from node 9 to node 1 with capacity 3,\nan edge from node 9 to node 8 with capacity 3,\nan edge from node 9 to node 3 with capacity 15,\nan edge from node 10 to node 5 with capacity 13,\nan edge from node 10 to node 1 with capacity 20,\nan edge from node 11 to node 5 with capacity 12,\nan edge from node 11 to node 1 with capacity 19,\nan edge from node 11 to node 2 with capacity 3,\nan edge from node 11 to node 8 with capacity 10,\nan edge from node 11 to node 7 with capacity 20,\nWhat is the maximum flow from node 6 to node 9:"
            },
            {
                "from": "gpt",
                "value": "26."
            }
        ]
    },
    {
        "id": "flow-hard-graph1006",
        "image": "data/flow/graph_visual/hard/graph1006.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 6 with capacity 19,\nan edge from node 0 to node 18 with capacity 12,\nan edge from node 0 to node 11 with capacity 16,\nan edge from node 0 to node 5 with capacity 6,\nan edge from node 0 to node 15 with capacity 4,\nan edge from node 0 to node 2 with capacity 20,\nan edge from node 0 to node 13 with capacity 3,\nan edge from node 1 to node 9 with capacity 12,\nan edge from node 1 to node 18 with capacity 15,\nan edge from node 1 to node 3 with capacity 8,\nan edge from node 1 to node 5 with capacity 8,\nan edge from node 1 to node 14 with capacity 5,\nan edge from node 2 to node 9 with capacity 9,\nan edge from node 2 to node 10 with capacity 9,\nan edge from node 2 to node 11 with capacity 13,\nan edge from node 2 to node 5 with capacity 2,\nan edge from node 2 to node 15 with capacity 11,\nan edge from node 2 to node 12 with capacity 17,\nan edge from node 2 to node 7 with capacity 18,\nan edge from node 2 to node 13 with capacity 12,\nan edge from node 3 to node 9 with capacity 19,\nan edge from node 3 to node 18 with capacity 15,\nan edge from node 3 to node 12 with capacity 2,\nan edge from node 5 to node 6 with capacity 10,\nan edge from node 5 to node 10 with capacity 20,\nan edge from node 5 to node 0 with capacity 1,\nan edge from node 5 to node 12 with capacity 4,\nan edge from node 6 to node 10 with capacity 7,\nan edge from node 6 to node 8 with capacity 1,\nan edge from node 6 to node 11 with capacity 16,\nan edge from node 6 to node 0 with capacity 2,\nan edge from node 7 to node 9 with capacity 6,\nan edge from node 7 to node 10 with capacity 13,\nan edge from node 7 to node 5 with capacity 5,\nan edge from node 8 to node 9 with capacity 3,\nan edge from node 8 to node 18 with capacity 16,\nan edge from node 8 to node 10 with capacity 13,\nan edge from node 8 to node 3 with capacity 3,\nan edge from node 8 to node 17 with capacity 6,\nan edge from node 8 to node 15 with capacity 9,\nan edge from node 8 to node 14 with capacity 20,\nan edge from node 8 to node 16 with capacity 14,\nan edge from node 9 to node 14 with capacity 11,\nan edge from node 9 to node 2 with capacity 11,\nan edge from node 9 to node 12 with capacity 11,\nan edge from node 9 to node 1 with capacity 5,\nan edge from node 10 to node 18 with capacity 14,\nan edge from node 10 to node 11 with capacity 12,\nan edge from node 10 to node 5 with capacity 12,\nan edge from node 10 to node 1 with capacity 14,\nan edge from node 11 to node 9 with capacity 14,\nan edge from node 11 to node 8 with capacity 13,\nan edge from node 11 to node 1 with capacity 17,\nan edge from node 12 to node 9 with capacity 13,\nan edge from node 12 to node 10 with capacity 3,\nan edge from node 12 to node 4 with capacity 18,\nan edge from node 12 to node 17 with capacity 18,\nan edge from node 12 to node 15 with capacity 16,\nan edge from node 12 to node 14 with capacity 2,\nan edge from node 12 to node 1 with capacity 18,\nan edge from node 13 to node 9 with capacity 14,\nan edge from node 13 to node 18 with capacity 14,\nan edge from node 13 to node 10 with capacity 20,\nan edge from node 13 to node 11 with capacity 7,\nan edge from node 13 to node 5 with capacity 14,\nan edge from node 13 to node 15 with capacity 18,\nan edge from node 13 to node 2 with capacity 13,\nan edge from node 14 to node 10 with capacity 17,\nan edge from node 14 to node 3 with capacity 1,\nan edge from node 14 to node 11 with capacity 2,\nan edge from node 14 to node 2 with capacity 6,\nan edge from node 14 to node 13 with capacity 11,\nan edge from node 15 to node 14 with capacity 12,\nan edge from node 15 to node 12 with capacity 15,\nan edge from node 15 to node 1 with capacity 6,\nan edge from node 15 to node 13 with capacity 14,\nan edge from node 16 to node 8 with capacity 1,\nan edge from node 16 to node 15 with capacity 10,\nan edge from node 16 to node 14 with capacity 8,\nan edge from node 17 to node 6 with capacity 15,\nan edge from node 17 to node 18 with capacity 1,\nan edge from node 17 to node 3 with capacity 7,\nan edge from node 17 to node 4 with capacity 11,\nan edge from node 17 to node 14 with capacity 7,\nan edge from node 17 to node 12 with capacity 10,\nan edge from node 18 to node 6 with capacity 5,\nan edge from node 18 to node 3 with capacity 2,\nan edge from node 18 to node 4 with capacity 11,\nan edge from node 18 to node 2 with capacity 17,\nan edge from node 18 to node 16 with capacity 12,\nan edge from node 18 to node 12 with capacity 17,\nWhat is the maximum flow from node 7 to node 18:"
            },
            {
                "from": "gpt",
                "value": "24."
            }
        ]
    },
    {
        "id": "flow-hard-graph1158",
        "image": "data/flow/graph_visual/hard/graph1158.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 18 with capacity 5,\nan edge from node 0 to node 10 with capacity 8,\nan edge from node 0 to node 12 with capacity 9,\nan edge from node 1 to node 11 with capacity 1,\nan edge from node 1 to node 0 with capacity 17,\nan edge from node 1 to node 7 with capacity 13,\nan edge from node 1 to node 10 with capacity 3,\nan edge from node 1 to node 6 with capacity 12,\nan edge from node 1 to node 13 with capacity 17,\nan edge from node 1 to node 15 with capacity 2,\nan edge from node 1 to node 9 with capacity 11,\nan edge from node 1 to node 16 with capacity 14,\nan edge from node 2 to node 4 with capacity 4,\nan edge from node 2 to node 18 with capacity 12,\nan edge from node 2 to node 11 with capacity 6,\nan edge from node 2 to node 7 with capacity 5,\nan edge from node 2 to node 3 with capacity 2,\nan edge from node 2 to node 13 with capacity 19,\nan edge from node 3 to node 18 with capacity 15,\nan edge from node 3 to node 11 with capacity 4,\nan edge from node 3 to node 7 with capacity 3,\nan edge from node 3 to node 19 with capacity 9,\nan edge from node 3 to node 14 with capacity 17,\nan edge from node 3 to node 6 with capacity 20,\nan edge from node 3 to node 12 with capacity 4,\nan edge from node 4 to node 18 with capacity 13,\nan edge from node 4 to node 3 with capacity 13,\nan edge from node 4 to node 8 with capacity 18,\nan edge from node 4 to node 14 with capacity 18,\nan edge from node 4 to node 6 with capacity 8,\nan edge from node 4 to node 16 with capacity 7,\nan edge from node 5 to node 0 with capacity 18,\nan edge from node 5 to node 13 with capacity 8,\nan edge from node 5 to node 17 with capacity 16,\nan edge from node 6 to node 4 with capacity 7,\nan edge from node 6 to node 18 with capacity 3,\nan edge from node 6 to node 19 with capacity 10,\nan edge from node 6 to node 8 with capacity 10,\nan edge from node 6 to node 16 with capacity 4,\nan edge from node 7 to node 11 with capacity 11,\nan edge from node 7 to node 10 with capacity 12,\nan edge from node 7 to node 3 with capacity 5,\nan edge from node 7 to node 8 with capacity 9,\nan edge from node 7 to node 9 with capacity 19,\nan edge from node 7 to node 12 with capacity 13,\nan edge from node 8 to node 4 with capacity 17,\nan edge from node 8 to node 18 with capacity 11,\nan edge from node 8 to node 3 with capacity 17,\nan edge from node 8 to node 13 with capacity 2,\nan edge from node 8 to node 15 with capacity 11,\nan edge from node 8 to node 9 with capacity 5,\nan edge from node 9 to node 0 with capacity 12,\nan edge from node 9 to node 19 with capacity 13,\nan edge from node 10 to node 18 with capacity 3,\nan edge from node 10 to node 1 with capacity 18,\nan edge from node 10 to node 0 with capacity 17,\nan edge from node 10 to node 7 with capacity 1,\nan edge from node 10 to node 19 with capacity 19,\nan edge from node 10 to node 2 with capacity 5,\nan edge from node 11 to node 10 with capacity 1,\nan edge from node 11 to node 5 with capacity 15,\nan edge from node 11 to node 13 with capacity 6,\nan edge from node 11 to node 15 with capacity 9,\nan edge from node 11 to node 9 with capacity 2,\nan edge from node 11 to node 16 with capacity 15,\nan edge from node 11 to node 12 with capacity 9,\nan edge from node 11 to node 17 with capacity 15,\nan edge from node 12 to node 18 with capacity 19,\nan edge from node 12 to node 1 with capacity 6,\nan edge from node 12 to node 9 with capacity 6,\nan edge from node 13 to node 4 with capacity 12,\nan edge from node 13 to node 11 with capacity 5,\nan edge from node 13 to node 7 with capacity 12,\nan edge from node 13 to node 10 with capacity 15,\nan edge from node 13 to node 6 with capacity 18,\nan edge from node 13 to node 2 with capacity 7,\nan edge from node 13 to node 12 with capacity 11,\nan edge from node 14 to node 18 with capacity 8,\nan edge from node 14 to node 11 with capacity 6,\nan edge from node 14 to node 7 with capacity 16,\nan edge from node 14 to node 10 with capacity 15,\nan edge from node 14 to node 5 with capacity 3,\nan edge from node 14 to node 2 with capacity 17,\nan edge from node 14 to node 12 with capacity 10,\nan edge from node 15 to node 18 with capacity 17,\nan edge from node 15 to node 11 with capacity 15,\nan edge from node 15 to node 7 with capacity 9,\nan edge from node 15 to node 3 with capacity 6,\nan edge from node 15 to node 13 with capacity 13,\nan edge from node 16 to node 18 with capacity 17,\nan edge from node 16 to node 2 with capacity 4,\nan edge from node 16 to node 9 with capacity 7,\nan edge from node 17 to node 11 with capacity 14,\nan edge from node 17 to node 9 with capacity 4,\nan edge from node 17 to node 12 with capacity 2,\nan edge from node 18 to node 4 with capacity 19,\nan edge from node 18 to node 7 with capacity 6,\nan edge from node 18 to node 5 with capacity 20,\nan edge from node 18 to node 14 with capacity 14,\nan edge from node 19 to node 1 with capacity 4,\nan edge from node 19 to node 3 with capacity 15,\nan edge from node 19 to node 9 with capacity 14,\nWhat is the maximum flow from node 9 to node 2:"
            },
            {
                "from": "gpt",
                "value": "25."
            }
        ]
    },
    {
        "id": "flow-hard-graph922",
        "image": "data/flow/graph_visual/hard/graph922.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 12 with capacity 12,\nan edge from node 0 to node 2 with capacity 18,\nan edge from node 1 to node 0 with capacity 20,\nan edge from node 1 to node 15 with capacity 3,\nan edge from node 1 to node 2 with capacity 13,\nan edge from node 2 to node 7 with capacity 12,\nan edge from node 2 to node 3 with capacity 3,\nan edge from node 2 to node 12 with capacity 16,\nan edge from node 2 to node 15 with capacity 9,\nan edge from node 2 to node 8 with capacity 13,\nan edge from node 2 to node 4 with capacity 6,\nan edge from node 3 to node 10 with capacity 8,\nan edge from node 3 to node 11 with capacity 10,\nan edge from node 3 to node 12 with capacity 8,\nan edge from node 3 to node 4 with capacity 9,\nan edge from node 4 to node 17 with capacity 7,\nan edge from node 4 to node 13 with capacity 14,\nan edge from node 4 to node 9 with capacity 2,\nan edge from node 4 to node 3 with capacity 6,\nan edge from node 5 to node 1 with capacity 6,\nan edge from node 5 to node 0 with capacity 16,\nan edge from node 5 to node 13 with capacity 7,\nan edge from node 5 to node 11 with capacity 6,\nan edge from node 5 to node 9 with capacity 8,\nan edge from node 6 to node 7 with capacity 14,\nan edge from node 6 to node 0 with capacity 1,\nan edge from node 6 to node 9 with capacity 20,\nan edge from node 6 to node 3 with capacity 9,\nan edge from node 6 to node 12 with capacity 1,\nan edge from node 7 to node 16 with capacity 7,\nan edge from node 7 to node 13 with capacity 10,\nan edge from node 8 to node 1 with capacity 12,\nan edge from node 8 to node 7 with capacity 11,\nan edge from node 8 to node 9 with capacity 8,\nan edge from node 8 to node 3 with capacity 3,\nan edge from node 9 to node 7 with capacity 15,\nan edge from node 9 to node 3 with capacity 13,\nan edge from node 9 to node 12 with capacity 8,\nan edge from node 9 to node 15 with capacity 1,\nan edge from node 9 to node 2 with capacity 16,\nan edge from node 9 to node 8 with capacity 11,\nan edge from node 10 to node 7 with capacity 1,\nan edge from node 10 to node 9 with capacity 7,\nan edge from node 10 to node 2 with capacity 17,\nan edge from node 10 to node 4 with capacity 17,\nan edge from node 11 to node 10 with capacity 19,\nan edge from node 11 to node 0 with capacity 15,\nan edge from node 11 to node 2 with capacity 10,\nan edge from node 11 to node 4 with capacity 12,\nan edge from node 11 to node 6 with capacity 18,\nan edge from node 12 to node 10 with capacity 20,\nan edge from node 12 to node 8 with capacity 4,\nan edge from node 13 to node 17 with capacity 19,\nan edge from node 13 to node 0 with capacity 11,\nan edge from node 13 to node 8 with capacity 4,\nan edge from node 13 to node 6 with capacity 8,\nan edge from node 14 to node 17 with capacity 10,\nan edge from node 14 to node 16 with capacity 14,\nan edge from node 14 to node 0 with capacity 14,\nan edge from node 14 to node 12 with capacity 11,\nan edge from node 14 to node 6 with capacity 14,\nan edge from node 15 to node 1 with capacity 12,\nan edge from node 15 to node 5 with capacity 12,\nan edge from node 15 to node 14 with capacity 1,\nan edge from node 15 to node 17 with capacity 6,\nan edge from node 15 to node 16 with capacity 8,\nan edge from node 15 to node 11 with capacity 5,\nan edge from node 15 to node 12 with capacity 3,\nan edge from node 16 to node 1 with capacity 18,\nan edge from node 16 to node 10 with capacity 12,\nan edge from node 16 to node 9 with capacity 7,\nan edge from node 16 to node 8 with capacity 6,\nan edge from node 17 to node 14 with capacity 11,\nan edge from node 17 to node 9 with capacity 1,\nan edge from node 17 to node 2 with capacity 13,\nWhat is the maximum flow from node 12 to node 3:"
            },
            {
                "from": "gpt",
                "value": "24."
            }
        ]
    },
    {
        "id": "flow-hard-graph690",
        "image": "data/flow/graph_visual/hard/graph690.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 8 with capacity 6,\nan edge from node 0 to node 7 with capacity 2,\nan edge from node 0 to node 14 with capacity 7,\nan edge from node 1 to node 8 with capacity 3,\nan edge from node 1 to node 7 with capacity 16,\nan edge from node 1 to node 0 with capacity 6,\nan edge from node 1 to node 6 with capacity 1,\nan edge from node 2 to node 12 with capacity 1,\nan edge from node 2 to node 3 with capacity 6,\nan edge from node 2 to node 6 with capacity 1,\nan edge from node 2 to node 5 with capacity 1,\nan edge from node 3 to node 8 with capacity 19,\nan edge from node 3 to node 7 with capacity 2,\nan edge from node 3 to node 10 with capacity 16,\nan edge from node 3 to node 12 with capacity 14,\nan edge from node 3 to node 0 with capacity 15,\nan edge from node 3 to node 9 with capacity 4,\nan edge from node 4 to node 11 with capacity 6,\nan edge from node 4 to node 13 with capacity 2,\nan edge from node 5 to node 8 with capacity 20,\nan edge from node 5 to node 10 with capacity 20,\nan edge from node 5 to node 2 with capacity 15,\nan edge from node 6 to node 10 with capacity 17,\nan edge from node 6 to node 11 with capacity 3,\nan edge from node 6 to node 14 with capacity 19,\nan edge from node 7 to node 11 with capacity 12,\nan edge from node 8 to node 7 with capacity 3,\nan edge from node 8 to node 15 with capacity 5,\nan edge from node 8 to node 3 with capacity 4,\nan edge from node 8 to node 2 with capacity 14,\nan edge from node 9 to node 10 with capacity 13,\nan edge from node 9 to node 3 with capacity 8,\nan edge from node 9 to node 0 with capacity 15,\nan edge from node 9 to node 14 with capacity 13,\nan edge from node 11 to node 8 with capacity 4,\nan edge from node 11 to node 7 with capacity 2,\nan edge from node 11 to node 1 with capacity 2,\nan edge from node 11 to node 4 with capacity 19,\nan edge from node 11 to node 5 with capacity 6,\nan edge from node 12 to node 7 with capacity 2,\nan edge from node 12 to node 10 with capacity 13,\nan edge from node 12 to node 13 with capacity 5,\nan edge from node 12 to node 5 with capacity 17,\nan edge from node 12 to node 14 with capacity 11,\nan edge from node 13 to node 15 with capacity 17,\nan edge from node 13 to node 3 with capacity 9,\nan edge from node 13 to node 14 with capacity 7,\nan edge from node 14 to node 7 with capacity 12,\nan edge from node 14 to node 10 with capacity 12,\nan edge from node 15 to node 8 with capacity 16,\nan edge from node 15 to node 10 with capacity 19,\nan edge from node 15 to node 3 with capacity 16,\nan edge from node 15 to node 11 with capacity 13,\nan edge from node 15 to node 2 with capacity 15,\nan edge from node 15 to node 9 with capacity 18,\nWhat is the maximum flow from node 1 to node 0:"
            },
            {
                "from": "gpt",
                "value": "21."
            }
        ]
    },
    {
        "id": "flow-hard-graph207",
        "image": "data/flow/graph_visual/hard/graph207.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 1 with capacity 11,\nan edge from node 0 to node 3 with capacity 5,\nan edge from node 0 to node 8 with capacity 16,\nan edge from node 0 to node 2 with capacity 15,\nan edge from node 1 to node 7 with capacity 18,\nan edge from node 1 to node 2 with capacity 15,\nan edge from node 2 to node 7 with capacity 19,\nan edge from node 2 to node 8 with capacity 16,\nan edge from node 3 to node 7 with capacity 1,\nan edge from node 3 to node 0 with capacity 7,\nan edge from node 3 to node 8 with capacity 17,\nan edge from node 3 to node 2 with capacity 18,\nan edge from node 3 to node 4 with capacity 13,\nan edge from node 4 to node 3 with capacity 14,\nan edge from node 5 to node 7 with capacity 5,\nan edge from node 5 to node 8 with capacity 13,\nan edge from node 6 to node 8 with capacity 14,\nan edge from node 6 to node 11 with capacity 14,\nan edge from node 7 to node 1 with capacity 6,\nan edge from node 7 to node 3 with capacity 12,\nan edge from node 7 to node 10 with capacity 4,\nan edge from node 7 to node 2 with capacity 10,\nan edge from node 7 to node 4 with capacity 4,\nan edge from node 8 to node 7 with capacity 11,\nan edge from node 8 to node 9 with capacity 18,\nan edge from node 8 to node 5 with capacity 10,\nan edge from node 9 to node 5 with capacity 17,\nan edge from node 10 to node 7 with capacity 4,\nan edge from node 10 to node 11 with capacity 7,\nan edge from node 11 to node 7 with capacity 2,\nan edge from node 11 to node 4 with capacity 3,\nan edge from node 11 to node 6 with capacity 16,\nWhat is the maximum flow from node 4 to node 7:"
            },
            {
                "from": "gpt",
                "value": "14."
            }
        ]
    },
    {
        "id": "flow-hard-graph608",
        "image": "data/flow/graph_visual/hard/graph608.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 1 to node 7 with capacity 2,\nan edge from node 1 to node 3 with capacity 18,\nan edge from node 1 to node 9 with capacity 16,\nan edge from node 1 to node 6 with capacity 5,\nan edge from node 1 to node 8 with capacity 16,\nan edge from node 2 to node 5 with capacity 11,\nan edge from node 2 to node 13 with capacity 8,\nan edge from node 2 to node 1 with capacity 14,\nan edge from node 2 to node 10 with capacity 7,\nan edge from node 3 to node 6 with capacity 17,\nan edge from node 6 to node 12 with capacity 3,\nan edge from node 6 to node 13 with capacity 9,\nan edge from node 7 to node 15 with capacity 8,\nan edge from node 7 to node 2 with capacity 8,\nan edge from node 7 to node 9 with capacity 3,\nan edge from node 7 to node 4 with capacity 13,\nan edge from node 7 to node 1 with capacity 6,\nan edge from node 7 to node 10 with capacity 11,\nan edge from node 8 to node 13 with capacity 2,\nan edge from node 8 to node 3 with capacity 17,\nan edge from node 8 to node 1 with capacity 13,\nan edge from node 8 to node 10 with capacity 11,\nan edge from node 9 to node 12 with capacity 9,\nan edge from node 9 to node 13 with capacity 18,\nan edge from node 9 to node 10 with capacity 3,\nan edge from node 9 to node 0 with capacity 7,\nan edge from node 9 to node 14 with capacity 1,\nan edge from node 10 to node 15 with capacity 5,\nan edge from node 10 to node 13 with capacity 15,\nan edge from node 10 to node 3 with capacity 13,\nan edge from node 10 to node 6 with capacity 4,\nan edge from node 10 to node 0 with capacity 4,\nan edge from node 11 to node 2 with capacity 12,\nan edge from node 11 to node 4 with capacity 12,\nan edge from node 11 to node 6 with capacity 20,\nan edge from node 11 to node 10 with capacity 15,\nan edge from node 12 to node 15 with capacity 7,\nan edge from node 12 to node 11 with capacity 2,\nan edge from node 12 to node 2 with capacity 11,\nan edge from node 12 to node 3 with capacity 6,\nan edge from node 12 to node 4 with capacity 13,\nan edge from node 12 to node 0 with capacity 17,\nan edge from node 13 to node 0 with capacity 8,\nan edge from node 14 to node 12 with capacity 18,\nan edge from node 14 to node 15 with capacity 1,\nan edge from node 14 to node 5 with capacity 6,\nan edge from node 14 to node 13 with capacity 7,\nan edge from node 14 to node 7 with capacity 3,\nan edge from node 14 to node 9 with capacity 4,\nan edge from node 14 to node 0 with capacity 19,\nan edge from node 15 to node 5 with capacity 15,\nan edge from node 15 to node 10 with capacity 15,\nan edge from node 15 to node 0 with capacity 11,\nWhat is the maximum flow from node 15 to node 14:"
            },
            {
                "from": "gpt",
                "value": "1."
            }
        ]
    },
    {
        "id": "flow-hard-graph417",
        "image": "data/flow/graph_visual/hard/graph417.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 9 with capacity 18,\nan edge from node 0 to node 12 with capacity 11,\nan edge from node 0 to node 10 with capacity 18,\nan edge from node 1 to node 9 with capacity 17,\nan edge from node 1 to node 2 with capacity 10,\nan edge from node 2 to node 8 with capacity 14,\nan edge from node 2 to node 9 with capacity 7,\nan edge from node 2 to node 1 with capacity 8,\nan edge from node 2 to node 7 with capacity 11,\nan edge from node 4 to node 9 with capacity 18,\nan edge from node 4 to node 2 with capacity 8,\nan edge from node 5 to node 11 with capacity 13,\nan edge from node 5 to node 8 with capacity 10,\nan edge from node 5 to node 3 with capacity 16,\nan edge from node 5 to node 0 with capacity 15,\nan edge from node 5 to node 7 with capacity 2,\nan edge from node 6 to node 11 with capacity 6,\nan edge from node 6 to node 12 with capacity 11,\nan edge from node 6 to node 1 with capacity 2,\nan edge from node 6 to node 5 with capacity 4,\nan edge from node 6 to node 4 with capacity 19,\nan edge from node 7 to node 2 with capacity 5,\nan edge from node 8 to node 9 with capacity 8,\nan edge from node 8 to node 1 with capacity 4,\nan edge from node 9 to node 8 with capacity 2,\nan edge from node 9 to node 13 with capacity 11,\nan edge from node 10 to node 2 with capacity 1,\nan edge from node 10 to node 1 with capacity 9,\nan edge from node 10 to node 5 with capacity 13,\nan edge from node 10 to node 4 with capacity 6,\nan edge from node 11 to node 8 with capacity 9,\nan edge from node 11 to node 9 with capacity 16,\nan edge from node 11 to node 10 with capacity 8,\nan edge from node 11 to node 5 with capacity 6,\nan edge from node 12 to node 9 with capacity 11,\nan edge from node 12 to node 0 with capacity 7,\nan edge from node 13 to node 9 with capacity 7,\nan edge from node 13 to node 2 with capacity 20,\nan edge from node 13 to node 1 with capacity 9,\nan edge from node 13 to node 10 with capacity 6,\nWhat is the maximum flow from node 1 to node 12:"
            },
            {
                "from": "gpt",
                "value": "6."
            }
        ]
    },
    {
        "id": "flow-hard-graph1028",
        "image": "data/flow/graph_visual/hard/graph1028.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 7 with capacity 4,\nan edge from node 0 to node 3 with capacity 16,\nan edge from node 0 to node 5 with capacity 12,\nan edge from node 0 to node 2 with capacity 8,\nan edge from node 0 to node 9 with capacity 5,\nan edge from node 0 to node 17 with capacity 16,\nan edge from node 1 to node 14 with capacity 8,\nan edge from node 1 to node 10 with capacity 2,\nan edge from node 1 to node 9 with capacity 8,\nan edge from node 1 to node 17 with capacity 18,\nan edge from node 1 to node 13 with capacity 14,\nan edge from node 3 to node 8 with capacity 5,\nan edge from node 3 to node 5 with capacity 18,\nan edge from node 3 to node 4 with capacity 11,\nan edge from node 3 to node 17 with capacity 19,\nan edge from node 3 to node 15 with capacity 13,\nan edge from node 4 to node 5 with capacity 7,\nan edge from node 4 to node 2 with capacity 7,\nan edge from node 4 to node 12 with capacity 7,\nan edge from node 5 to node 10 with capacity 3,\nan edge from node 5 to node 17 with capacity 11,\nan edge from node 5 to node 15 with capacity 17,\nan edge from node 6 to node 7 with capacity 4,\nan edge from node 6 to node 11 with capacity 18,\nan edge from node 6 to node 18 with capacity 13,\nan edge from node 6 to node 5 with capacity 20,\nan edge from node 6 to node 2 with capacity 12,\nan edge from node 6 to node 9 with capacity 11,\nan edge from node 6 to node 12 with capacity 8,\nan edge from node 7 to node 11 with capacity 3,\nan edge from node 7 to node 4 with capacity 19,\nan edge from node 7 to node 0 with capacity 14,\nan edge from node 7 to node 16 with capacity 19,\nan edge from node 7 to node 9 with capacity 8,\nan edge from node 7 to node 15 with capacity 13,\nan edge from node 7 to node 13 with capacity 17,\nan edge from node 8 to node 18 with capacity 7,\nan edge from node 8 to node 10 with capacity 3,\nan edge from node 8 to node 9 with capacity 19,\nan edge from node 8 to node 1 with capacity 14,\nan edge from node 9 to node 3 with capacity 9,\nan edge from node 9 to node 10 with capacity 17,\nan edge from node 10 to node 14 with capacity 20,\nan edge from node 10 to node 9 with capacity 2,\nan edge from node 10 to node 17 with capacity 6,\nan edge from node 10 to node 12 with capacity 20,\nan edge from node 11 to node 14 with capacity 4,\nan edge from node 11 to node 18 with capacity 2,\nan edge from node 11 to node 0 with capacity 4,\nan edge from node 11 to node 10 with capacity 6,\nan edge from node 11 to node 9 with capacity 11,\nan edge from node 11 to node 15 with capacity 11,\nan edge from node 11 to node 13 with capacity 9,\nan edge from node 12 to node 7 with capacity 2,\nan edge from node 12 to node 18 with capacity 7,\nan edge from node 12 to node 8 with capacity 8,\nan edge from node 12 to node 5 with capacity 5,\nan edge from node 12 to node 0 with capacity 12,\nan edge from node 12 to node 2 with capacity 1,\nan edge from node 12 to node 10 with capacity 3,\nan edge from node 13 to node 14 with capacity 9,\nan edge from node 13 to node 4 with capacity 2,\nan edge from node 13 to node 10 with capacity 11,\nan edge from node 13 to node 12 with capacity 4,\nan edge from node 13 to node 15 with capacity 6,\nan edge from node 13 to node 1 with capacity 13,\nan edge from node 14 to node 8 with capacity 5,\nan edge from node 14 to node 4 with capacity 8,\nan edge from node 14 to node 16 with capacity 5,\nan edge from node 14 to node 10 with capacity 4,\nan edge from node 15 to node 7 with capacity 6,\nan edge from node 15 to node 11 with capacity 13,\nan edge from node 15 to node 14 with capacity 18,\nan edge from node 15 to node 4 with capacity 7,\nan edge from node 15 to node 9 with capacity 19,\nan edge from node 15 to node 1 with capacity 15,\nan edge from node 16 to node 4 with capacity 12,\nan edge from node 16 to node 9 with capacity 19,\nan edge from node 16 to node 17 with capacity 19,\nan edge from node 16 to node 13 with capacity 4,\nan edge from node 17 to node 14 with capacity 11,\nan edge from node 17 to node 3 with capacity 10,\nan edge from node 17 to node 16 with capacity 19,\nan edge from node 17 to node 2 with capacity 7,\nan edge from node 17 to node 13 with capacity 16,\nan edge from node 18 to node 8 with capacity 5,\nan edge from node 18 to node 5 with capacity 11,\nan edge from node 18 to node 4 with capacity 18,\nan edge from node 18 to node 0 with capacity 20,\nan edge from node 18 to node 10 with capacity 4,\nan edge from node 18 to node 12 with capacity 13,\nan edge from node 18 to node 13 with capacity 11,\nWhat is the maximum flow from node 12 to node 4:"
            },
            {
                "from": "gpt",
                "value": "37."
            }
        ]
    },
    {
        "id": "flow-hard-graph740",
        "image": "data/flow/graph_visual/hard/graph740.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 7 with capacity 8,\nan edge from node 0 to node 4 with capacity 4,\nan edge from node 0 to node 1 with capacity 11,\nan edge from node 0 to node 11 with capacity 10,\nan edge from node 0 to node 6 with capacity 3,\nan edge from node 1 to node 16 with capacity 3,\nan edge from node 1 to node 7 with capacity 15,\nan edge from node 2 to node 16 with capacity 13,\nan edge from node 2 to node 8 with capacity 11,\nan edge from node 2 to node 3 with capacity 11,\nan edge from node 3 to node 0 with capacity 18,\nan edge from node 3 to node 4 with capacity 8,\nan edge from node 3 to node 13 with capacity 17,\nan edge from node 3 to node 14 with capacity 3,\nan edge from node 3 to node 8 with capacity 2,\nan edge from node 3 to node 6 with capacity 16,\nan edge from node 4 to node 2 with capacity 9,\nan edge from node 4 to node 13 with capacity 15,\nan edge from node 4 to node 12 with capacity 7,\nan edge from node 4 to node 8 with capacity 17,\nan edge from node 5 to node 1 with capacity 17,\nan edge from node 5 to node 10 with capacity 9,\nan edge from node 5 to node 12 with capacity 7,\nan edge from node 6 to node 16 with capacity 8,\nan edge from node 6 to node 4 with capacity 20,\nan edge from node 6 to node 1 with capacity 10,\nan edge from node 6 to node 10 with capacity 4,\nan edge from node 7 to node 0 with capacity 1,\nan edge from node 7 to node 4 with capacity 10,\nan edge from node 7 to node 13 with capacity 3,\nan edge from node 7 to node 9 with capacity 10,\nan edge from node 7 to node 1 with capacity 8,\nan edge from node 7 to node 8 with capacity 15,\nan edge from node 7 to node 3 with capacity 9,\nan edge from node 8 to node 10 with capacity 6,\nan edge from node 9 to node 16 with capacity 7,\nan edge from node 9 to node 0 with capacity 7,\nan edge from node 9 to node 10 with capacity 5,\nan edge from node 9 to node 11 with capacity 6,\nan edge from node 9 to node 6 with capacity 19,\nan edge from node 10 to node 16 with capacity 8,\nan edge from node 10 to node 13 with capacity 10,\nan edge from node 10 to node 9 with capacity 2,\nan edge from node 10 to node 15 with capacity 10,\nan edge from node 10 to node 14 with capacity 2,\nan edge from node 11 to node 16 with capacity 9,\nan edge from node 11 to node 13 with capacity 3,\nan edge from node 11 to node 9 with capacity 12,\nan edge from node 11 to node 8 with capacity 3,\nan edge from node 11 to node 6 with capacity 1,\nan edge from node 12 to node 4 with capacity 2,\nan edge from node 12 to node 5 with capacity 2,\nan edge from node 12 to node 14 with capacity 11,\nan edge from node 12 to node 11 with capacity 14,\nan edge from node 13 to node 7 with capacity 18,\nan edge from node 13 to node 15 with capacity 6,\nan edge from node 13 to node 10 with capacity 8,\nan edge from node 13 to node 3 with capacity 15,\nan edge from node 13 to node 6 with capacity 2,\nan edge from node 14 to node 16 with capacity 16,\nan edge from node 14 to node 4 with capacity 20,\nan edge from node 14 to node 13 with capacity 6,\nan edge from node 14 to node 15 with capacity 13,\nan edge from node 14 to node 12 with capacity 6,\nan edge from node 14 to node 5 with capacity 8,\nan edge from node 14 to node 8 with capacity 12,\nan edge from node 14 to node 11 with capacity 1,\nan edge from node 15 to node 9 with capacity 14,\nan edge from node 15 to node 6 with capacity 11,\nan edge from node 16 to node 2 with capacity 9,\nan edge from node 16 to node 0 with capacity 9,\nan edge from node 16 to node 4 with capacity 11,\nan edge from node 16 to node 6 with capacity 15,\nWhat is the maximum flow from node 6 to node 16:"
            },
            {
                "from": "gpt",
                "value": "42."
            }
        ]
    },
    {
        "id": "flow-hard-graph1149",
        "image": "data/flow/graph_visual/hard/graph1149.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 9 with capacity 12,\nan edge from node 0 to node 10 with capacity 7,\nan edge from node 1 to node 11 with capacity 9,\nan edge from node 1 to node 15 with capacity 19,\nan edge from node 1 to node 9 with capacity 8,\nan edge from node 1 to node 17 with capacity 19,\nan edge from node 1 to node 6 with capacity 15,\nan edge from node 1 to node 10 with capacity 7,\nan edge from node 1 to node 12 with capacity 19,\nan edge from node 1 to node 4 with capacity 17,\nan edge from node 3 to node 15 with capacity 17,\nan edge from node 3 to node 2 with capacity 11,\nan edge from node 3 to node 13 with capacity 18,\nan edge from node 3 to node 16 with capacity 7,\nan edge from node 4 to node 9 with capacity 18,\nan edge from node 4 to node 7 with capacity 3,\nan edge from node 5 to node 9 with capacity 16,\nan edge from node 5 to node 8 with capacity 9,\nan edge from node 5 to node 3 with capacity 6,\nan edge from node 5 to node 1 with capacity 5,\nan edge from node 6 to node 14 with capacity 2,\nan edge from node 6 to node 2 with capacity 11,\nan edge from node 6 to node 9 with capacity 11,\nan edge from node 6 to node 19 with capacity 13,\nan edge from node 6 to node 8 with capacity 5,\nan edge from node 6 to node 1 with capacity 3,\nan edge from node 6 to node 13 with capacity 18,\nan edge from node 6 to node 18 with capacity 5,\nan edge from node 7 to node 15 with capacity 11,\nan edge from node 7 to node 8 with capacity 4,\nan edge from node 7 to node 0 with capacity 18,\nan edge from node 7 to node 6 with capacity 6,\nan edge from node 7 to node 13 with capacity 16,\nan edge from node 8 to node 5 with capacity 16,\nan edge from node 8 to node 2 with capacity 3,\nan edge from node 8 to node 9 with capacity 8,\nan edge from node 8 to node 19 with capacity 9,\nan edge from node 8 to node 18 with capacity 11,\nan edge from node 9 to node 15 with capacity 3,\nan edge from node 9 to node 0 with capacity 9,\nan edge from node 9 to node 17 with capacity 8,\nan edge from node 9 to node 10 with capacity 1,\nan edge from node 9 to node 12 with capacity 11,\nan edge from node 10 to node 5 with capacity 4,\nan edge from node 10 to node 14 with capacity 5,\nan edge from node 10 to node 9 with capacity 3,\nan edge from node 10 to node 8 with capacity 4,\nan edge from node 10 to node 0 with capacity 3,\nan edge from node 10 to node 7 with capacity 11,\nan edge from node 10 to node 12 with capacity 19,\nan edge from node 11 to node 3 with capacity 9,\nan edge from node 11 to node 0 with capacity 8,\nan edge from node 11 to node 7 with capacity 1,\nan edge from node 11 to node 6 with capacity 3,\nan edge from node 11 to node 16 with capacity 17,\nan edge from node 12 to node 5 with capacity 17,\nan edge from node 12 to node 15 with capacity 4,\nan edge from node 12 to node 14 with capacity 1,\nan edge from node 12 to node 2 with capacity 11,\nan edge from node 12 to node 9 with capacity 15,\nan edge from node 12 to node 6 with capacity 11,\nan edge from node 12 to node 13 with capacity 2,\nan edge from node 13 to node 11 with capacity 18,\nan edge from node 13 to node 3 with capacity 3,\nan edge from node 13 to node 0 with capacity 5,\nan edge from node 13 to node 1 with capacity 16,\nan edge from node 13 to node 4 with capacity 1,\nan edge from node 14 to node 2 with capacity 18,\nan edge from node 14 to node 3 with capacity 19,\nan edge from node 14 to node 17 with capacity 11,\nan edge from node 14 to node 10 with capacity 17,\nan edge from node 15 to node 19 with capacity 2,\nan edge from node 15 to node 0 with capacity 16,\nan edge from node 15 to node 17 with capacity 8,\nan edge from node 15 to node 13 with capacity 7,\nan edge from node 15 to node 16 with capacity 19,\nan edge from node 16 to node 5 with capacity 12,\nan edge from node 16 to node 11 with capacity 10,\nan edge from node 16 to node 14 with capacity 18,\nan edge from node 16 to node 7 with capacity 16,\nan edge from node 16 to node 13 with capacity 10,\nan edge from node 16 to node 18 with capacity 9,\nan edge from node 17 to node 5 with capacity 5,\nan edge from node 17 to node 14 with capacity 3,\nan edge from node 17 to node 19 with capacity 20,\nan edge from node 18 to node 14 with capacity 16,\nan edge from node 18 to node 0 with capacity 5,\nan edge from node 19 to node 8 with capacity 13,\nan edge from node 19 to node 3 with capacity 8,\nan edge from node 19 to node 0 with capacity 12,\nan edge from node 19 to node 6 with capacity 10,\nWhat is the maximum flow from node 5 to node 15:"
            },
            {
                "from": "gpt",
                "value": "36."
            }
        ]
    },
    {
        "id": "flow-hard-graph1101",
        "image": "data/flow/graph_visual/hard/graph1101.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 19 with capacity 20,\nan edge from node 0 to node 15 with capacity 17,\nan edge from node 0 to node 4 with capacity 4,\nan edge from node 0 to node 14 with capacity 9,\nan edge from node 1 to node 11 with capacity 19,\nan edge from node 1 to node 17 with capacity 14,\nan edge from node 1 to node 14 with capacity 8,\nan edge from node 2 to node 18 with capacity 13,\nan edge from node 2 to node 17 with capacity 10,\nan edge from node 3 to node 11 with capacity 15,\nan edge from node 3 to node 6 with capacity 10,\nan edge from node 4 to node 11 with capacity 9,\nan edge from node 4 to node 8 with capacity 11,\nan edge from node 4 to node 12 with capacity 8,\nan edge from node 4 to node 16 with capacity 5,\nan edge from node 5 to node 3 with capacity 16,\nan edge from node 5 to node 1 with capacity 19,\nan edge from node 5 to node 4 with capacity 17,\nan edge from node 5 to node 17 with capacity 15,\nan edge from node 5 to node 6 with capacity 10,\nan edge from node 5 to node 16 with capacity 13,\nan edge from node 6 to node 2 with capacity 3,\nan edge from node 6 to node 12 with capacity 20,\nan edge from node 6 to node 16 with capacity 20,\nan edge from node 7 to node 3 with capacity 1,\nan edge from node 7 to node 13 with capacity 6,\nan edge from node 7 to node 14 with capacity 4,\nan edge from node 7 to node 16 with capacity 11,\nan edge from node 8 to node 0 with capacity 9,\nan edge from node 8 to node 9 with capacity 7,\nan edge from node 8 to node 7 with capacity 5,\nan edge from node 8 to node 10 with capacity 12,\nan edge from node 8 to node 13 with capacity 9,\nan edge from node 9 to node 0 with capacity 2,\nan edge from node 9 to node 7 with capacity 4,\nan edge from node 9 to node 3 with capacity 14,\nan edge from node 9 to node 16 with capacity 13,\nan edge from node 10 to node 0 with capacity 20,\nan edge from node 10 to node 9 with capacity 15,\nan edge from node 10 to node 11 with capacity 4,\nan edge from node 10 to node 2 with capacity 18,\nan edge from node 10 to node 12 with capacity 2,\nan edge from node 10 to node 5 with capacity 11,\nan edge from node 11 to node 0 with capacity 16,\nan edge from node 11 to node 7 with capacity 9,\nan edge from node 11 to node 3 with capacity 19,\nan edge from node 11 to node 14 with capacity 16,\nan edge from node 11 to node 2 with capacity 13,\nan edge from node 12 to node 10 with capacity 2,\nan edge from node 12 to node 3 with capacity 14,\nan edge from node 12 to node 13 with capacity 18,\nan edge from node 12 to node 5 with capacity 12,\nan edge from node 13 to node 18 with capacity 2,\nan edge from node 13 to node 15 with capacity 16,\nan edge from node 13 to node 1 with capacity 19,\nan edge from node 13 to node 12 with capacity 3,\nan edge from node 13 to node 16 with capacity 20,\nan edge from node 13 to node 5 with capacity 7,\nan edge from node 14 to node 7 with capacity 10,\nan edge from node 14 to node 15 with capacity 1,\nan edge from node 14 to node 2 with capacity 5,\nan edge from node 14 to node 6 with capacity 17,\nan edge from node 14 to node 8 with capacity 4,\nan edge from node 15 to node 10 with capacity 1,\nan edge from node 15 to node 13 with capacity 3,\nan edge from node 15 to node 14 with capacity 19,\nan edge from node 15 to node 8 with capacity 16,\nan edge from node 15 to node 5 with capacity 8,\nan edge from node 16 to node 19 with capacity 11,\nan edge from node 16 to node 0 with capacity 18,\nan edge from node 16 to node 13 with capacity 12,\nan edge from node 16 to node 17 with capacity 16,\nan edge from node 16 to node 2 with capacity 19,\nan edge from node 16 to node 5 with capacity 5,\nan edge from node 17 to node 0 with capacity 7,\nan edge from node 17 to node 9 with capacity 1,\nan edge from node 17 to node 7 with capacity 17,\nan edge from node 17 to node 10 with capacity 11,\nan edge from node 17 to node 3 with capacity 2,\nan edge from node 17 to node 13 with capacity 6,\nan edge from node 18 to node 0 with capacity 4,\nan edge from node 18 to node 10 with capacity 2,\nan edge from node 18 to node 13 with capacity 16,\nan edge from node 18 to node 8 with capacity 14,\nan edge from node 19 to node 3 with capacity 7,\nan edge from node 19 to node 13 with capacity 12,\nan edge from node 19 to node 4 with capacity 8,\nan edge from node 19 to node 16 with capacity 8,\nWhat is the maximum flow from node 4 to node 9:"
            },
            {
                "from": "gpt",
                "value": "23."
            }
        ]
    },
    {
        "id": "flow-hard-graph686",
        "image": "data/flow/graph_visual/hard/graph686.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 8 with capacity 3,\nan edge from node 0 to node 7 with capacity 13,\nan edge from node 0 to node 6 with capacity 4,\nan edge from node 0 to node 15 with capacity 2,\nan edge from node 1 to node 8 with capacity 20,\nan edge from node 1 to node 7 with capacity 4,\nan edge from node 2 to node 1 with capacity 1,\nan edge from node 2 to node 5 with capacity 3,\nan edge from node 2 to node 7 with capacity 2,\nan edge from node 2 to node 14 with capacity 6,\nan edge from node 2 to node 3 with capacity 10,\nan edge from node 2 to node 13 with capacity 14,\nan edge from node 3 to node 4 with capacity 19,\nan edge from node 3 to node 9 with capacity 11,\nan edge from node 3 to node 11 with capacity 16,\nan edge from node 3 to node 14 with capacity 1,\nan edge from node 4 to node 1 with capacity 7,\nan edge from node 4 to node 7 with capacity 20,\nan edge from node 5 to node 9 with capacity 18,\nan edge from node 5 to node 12 with capacity 7,\nan edge from node 6 to node 5 with capacity 20,\nan edge from node 6 to node 14 with capacity 11,\nan edge from node 6 to node 15 with capacity 17,\nan edge from node 7 to node 5 with capacity 6,\nan edge from node 7 to node 4 with capacity 14,\nan edge from node 7 to node 0 with capacity 10,\nan edge from node 7 to node 3 with capacity 7,\nan edge from node 7 to node 13 with capacity 20,\nan edge from node 8 to node 5 with capacity 20,\nan edge from node 8 to node 9 with capacity 16,\nan edge from node 8 to node 12 with capacity 1,\nan edge from node 8 to node 11 with capacity 12,\nan edge from node 8 to node 10 with capacity 1,\nan edge from node 9 to node 5 with capacity 18,\nan edge from node 9 to node 7 with capacity 10,\nan edge from node 9 to node 12 with capacity 5,\nan edge from node 9 to node 0 with capacity 2,\nan edge from node 10 to node 5 with capacity 18,\nan edge from node 10 to node 7 with capacity 18,\nan edge from node 10 to node 12 with capacity 7,\nan edge from node 10 to node 14 with capacity 18,\nan edge from node 10 to node 3 with capacity 14,\nan edge from node 11 to node 10 with capacity 13,\nan edge from node 12 to node 5 with capacity 19,\nan edge from node 12 to node 8 with capacity 5,\nan edge from node 12 to node 9 with capacity 4,\nan edge from node 12 to node 0 with capacity 13,\nan edge from node 12 to node 15 with capacity 19,\nan edge from node 12 to node 13 with capacity 10,\nan edge from node 13 to node 4 with capacity 6,\nan edge from node 13 to node 9 with capacity 8,\nan edge from node 13 to node 6 with capacity 4,\nan edge from node 13 to node 3 with capacity 18,\nan edge from node 14 to node 8 with capacity 11,\nan edge from node 14 to node 9 with capacity 17,\nan edge from node 14 to node 12 with capacity 6,\nan edge from node 14 to node 0 with capacity 9,\nan edge from node 14 to node 6 with capacity 4,\nan edge from node 14 to node 3 with capacity 19,\nan edge from node 14 to node 13 with capacity 6,\nan edge from node 15 to node 1 with capacity 14,\nan edge from node 15 to node 8 with capacity 6,\nan edge from node 15 to node 4 with capacity 19,\nan edge from node 15 to node 14 with capacity 16,\nWhat is the maximum flow from node 14 to node 2:"
            },
            {
                "from": "gpt",
                "value": "0."
            }
        ]
    },
    {
        "id": "flow-hard-graph368",
        "image": "data/flow/graph_visual/hard/graph368.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 1 with capacity 13,\nan edge from node 0 to node 12 with capacity 12,\nan edge from node 0 to node 2 with capacity 15,\nan edge from node 0 to node 7 with capacity 9,\nan edge from node 1 to node 6 with capacity 19,\nan edge from node 1 to node 2 with capacity 18,\nan edge from node 1 to node 3 with capacity 3,\nan edge from node 2 to node 5 with capacity 9,\nan edge from node 2 to node 12 with capacity 4,\nan edge from node 2 to node 8 with capacity 12,\nan edge from node 2 to node 0 with capacity 6,\nan edge from node 2 to node 7 with capacity 8,\nan edge from node 3 to node 4 with capacity 9,\nan edge from node 3 to node 5 with capacity 20,\nan edge from node 3 to node 12 with capacity 15,\nan edge from node 3 to node 9 with capacity 9,\nan edge from node 3 to node 8 with capacity 18,\nan edge from node 3 to node 10 with capacity 5,\nan edge from node 3 to node 0 with capacity 20,\nan edge from node 3 to node 7 with capacity 12,\nan edge from node 4 to node 6 with capacity 15,\nan edge from node 4 to node 9 with capacity 19,\nan edge from node 4 to node 8 with capacity 17,\nan edge from node 4 to node 3 with capacity 7,\nan edge from node 5 to node 13 with capacity 15,\nan edge from node 5 to node 6 with capacity 2,\nan edge from node 5 to node 0 with capacity 15,\nan edge from node 6 to node 11 with capacity 19,\nan edge from node 6 to node 1 with capacity 9,\nan edge from node 6 to node 5 with capacity 7,\nan edge from node 6 to node 3 with capacity 4,\nan edge from node 7 to node 4 with capacity 14,\nan edge from node 7 to node 1 with capacity 20,\nan edge from node 7 to node 5 with capacity 9,\nan edge from node 7 to node 13 with capacity 20,\nan edge from node 7 to node 10 with capacity 14,\nan edge from node 8 to node 5 with capacity 9,\nan edge from node 9 to node 1 with capacity 20,\nan edge from node 9 to node 5 with capacity 19,\nan edge from node 9 to node 2 with capacity 1,\nan edge from node 9 to node 8 with capacity 18,\nan edge from node 10 to node 1 with capacity 14,\nan edge from node 10 to node 0 with capacity 18,\nan edge from node 10 to node 3 with capacity 16,\nan edge from node 11 to node 5 with capacity 15,\nan edge from node 11 to node 13 with capacity 14,\nan edge from node 11 to node 0 with capacity 15,\nan edge from node 12 to node 13 with capacity 13,\nan edge from node 12 to node 9 with capacity 2,\nan edge from node 13 to node 6 with capacity 17,\nan edge from node 13 to node 9 with capacity 9,\nan edge from node 13 to node 7 with capacity 4,\nWhat is the maximum flow from node 13 to node 3:"
            },
            {
                "from": "gpt",
                "value": "28."
            }
        ]
    },
    {
        "id": "flow-hard-graph208",
        "image": "data/flow/graph_visual/hard/graph208.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 10 with capacity 7,\nan edge from node 0 to node 3 with capacity 5,\nan edge from node 1 to node 9 with capacity 1,\nan edge from node 1 to node 6 with capacity 18,\nan edge from node 1 to node 11 with capacity 11,\nan edge from node 1 to node 4 with capacity 11,\nan edge from node 1 to node 8 with capacity 7,\nan edge from node 2 to node 9 with capacity 13,\nan edge from node 2 to node 6 with capacity 10,\nan edge from node 2 to node 7 with capacity 14,\nan edge from node 2 to node 1 with capacity 8,\nan edge from node 2 to node 11 with capacity 9,\nan edge from node 2 to node 4 with capacity 20,\nan edge from node 3 to node 6 with capacity 12,\nan edge from node 3 to node 1 with capacity 4,\nan edge from node 4 to node 2 with capacity 19,\nan edge from node 4 to node 3 with capacity 10,\nan edge from node 4 to node 0 with capacity 20,\nan edge from node 5 to node 9 with capacity 19,\nan edge from node 5 to node 3 with capacity 13,\nan edge from node 6 to node 7 with capacity 10,\nan edge from node 6 to node 3 with capacity 4,\nan edge from node 6 to node 8 with capacity 10,\nan edge from node 7 to node 3 with capacity 10,\nan edge from node 7 to node 1 with capacity 14,\nan edge from node 7 to node 11 with capacity 15,\nan edge from node 8 to node 6 with capacity 1,\nan edge from node 8 to node 7 with capacity 14,\nan edge from node 8 to node 0 with capacity 13,\nan edge from node 8 to node 11 with capacity 9,\nan edge from node 10 to node 5 with capacity 20,\nan edge from node 10 to node 1 with capacity 19,\nWhat is the maximum flow from node 3 to node 10:"
            },
            {
                "from": "gpt",
                "value": "7."
            }
        ]
    },
    {
        "id": "flow-hard-graph1137",
        "image": "data/flow/graph_visual/hard/graph1137.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 11 with capacity 19,\nan edge from node 0 to node 12 with capacity 10,\nan edge from node 0 to node 18 with capacity 12,\nan edge from node 0 to node 9 with capacity 12,\nan edge from node 0 to node 4 with capacity 20,\nan edge from node 0 to node 15 with capacity 9,\nan edge from node 0 to node 3 with capacity 6,\nan edge from node 0 to node 14 with capacity 10,\nan edge from node 0 to node 2 with capacity 3,\nan edge from node 0 to node 6 with capacity 19,\nan edge from node 1 to node 16 with capacity 12,\nan edge from node 1 to node 10 with capacity 14,\nan edge from node 1 to node 2 with capacity 3,\nan edge from node 2 to node 16 with capacity 7,\nan edge from node 2 to node 7 with capacity 16,\nan edge from node 2 to node 18 with capacity 19,\nan edge from node 2 to node 3 with capacity 3,\nan edge from node 2 to node 14 with capacity 4,\nan edge from node 2 to node 5 with capacity 5,\nan edge from node 2 to node 13 with capacity 16,\nan edge from node 2 to node 6 with capacity 3,\nan edge from node 3 to node 12 with capacity 1,\nan edge from node 3 to node 19 with capacity 17,\nan edge from node 3 to node 15 with capacity 10,\nan edge from node 3 to node 1 with capacity 5,\nan edge from node 3 to node 2 with capacity 2,\nan edge from node 3 to node 6 with capacity 8,\nan edge from node 4 to node 7 with capacity 6,\nan edge from node 4 to node 12 with capacity 9,\nan edge from node 4 to node 1 with capacity 15,\nan edge from node 5 to node 12 with capacity 17,\nan edge from node 5 to node 17 with capacity 7,\nan edge from node 5 to node 15 with capacity 15,\nan edge from node 5 to node 6 with capacity 8,\nan edge from node 6 to node 0 with capacity 8,\nan edge from node 6 to node 7 with capacity 9,\nan edge from node 6 to node 11 with capacity 20,\nan edge from node 6 to node 8 with capacity 16,\nan edge from node 6 to node 19 with capacity 3,\nan edge from node 6 to node 17 with capacity 2,\nan edge from node 6 to node 4 with capacity 6,\nan edge from node 6 to node 2 with capacity 1,\nan edge from node 7 to node 0 with capacity 1,\nan edge from node 7 to node 9 with capacity 9,\nan edge from node 7 to node 15 with capacity 20,\nan edge from node 8 to node 19 with capacity 3,\nan edge from node 8 to node 9 with capacity 6,\nan edge from node 8 to node 3 with capacity 6,\nan edge from node 8 to node 1 with capacity 20,\nan edge from node 8 to node 13 with capacity 13,\nan edge from node 8 to node 6 with capacity 2,\nan edge from node 9 to node 16 with capacity 18,\nan edge from node 9 to node 7 with capacity 5,\nan edge from node 9 to node 10 with capacity 6,\nan edge from node 9 to node 12 with capacity 18,\nan edge from node 9 to node 18 with capacity 16,\nan edge from node 10 to node 18 with capacity 10,\nan edge from node 10 to node 4 with capacity 5,\nan edge from node 10 to node 15 with capacity 14,\nan edge from node 10 to node 5 with capacity 17,\nan edge from node 11 to node 0 with capacity 6,\nan edge from node 11 to node 16 with capacity 15,\nan edge from node 11 to node 19 with capacity 12,\nan edge from node 11 to node 4 with capacity 16,\nan edge from node 12 to node 0 with capacity 6,\nan edge from node 12 to node 7 with capacity 20,\nan edge from node 12 to node 11 with capacity 15,\nan edge from node 12 to node 10 with capacity 1,\nan edge from node 12 to node 8 with capacity 11,\nan edge from node 13 to node 17 with capacity 14,\nan edge from node 13 to node 3 with capacity 18,\nan edge from node 14 to node 8 with capacity 4,\nan edge from node 14 to node 15 with capacity 12,\nan edge from node 14 to node 1 with capacity 7,\nan edge from node 14 to node 5 with capacity 7,\nan edge from node 14 to node 2 with capacity 11,\nan edge from node 15 to node 0 with capacity 18,\nan edge from node 15 to node 17 with capacity 13,\nan edge from node 16 to node 0 with capacity 16,\nan edge from node 16 to node 5 with capacity 8,\nan edge from node 16 to node 13 with capacity 17,\nan edge from node 16 to node 2 with capacity 12,\nan edge from node 17 to node 16 with capacity 1,\nan edge from node 17 to node 10 with capacity 6,\nan edge from node 17 to node 1 with capacity 17,\nan edge from node 17 to node 6 with capacity 17,\nan edge from node 18 to node 16 with capacity 5,\nan edge from node 18 to node 10 with capacity 8,\nan edge from node 18 to node 12 with capacity 19,\nan edge from node 18 to node 8 with capacity 7,\nan edge from node 18 to node 3 with capacity 17,\nan edge from node 18 to node 5 with capacity 5,\nan edge from node 18 to node 13 with capacity 16,\nan edge from node 18 to node 2 with capacity 6,\nan edge from node 19 to node 18 with capacity 8,\nan edge from node 19 to node 17 with capacity 4,\nan edge from node 19 to node 3 with capacity 2,\nan edge from node 19 to node 14 with capacity 18,\nan edge from node 19 to node 5 with capacity 17,\nan edge from node 19 to node 13 with capacity 13,\nWhat is the maximum flow from node 4 to node 3:"
            },
            {
                "from": "gpt",
                "value": "30."
            }
        ]
    },
    {
        "id": "flow-hard-graph820",
        "image": "data/flow/graph_visual/hard/graph820.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 6 with capacity 1,\nan edge from node 0 to node 8 with capacity 11,\nan edge from node 0 to node 3 with capacity 16,\nan edge from node 0 to node 13 with capacity 16,\nan edge from node 1 to node 6 with capacity 1,\nan edge from node 1 to node 14 with capacity 12,\nan edge from node 1 to node 7 with capacity 19,\nan edge from node 1 to node 12 with capacity 5,\nan edge from node 2 to node 15 with capacity 19,\nan edge from node 2 to node 3 with capacity 4,\nan edge from node 2 to node 0 with capacity 10,\nan edge from node 2 to node 9 with capacity 13,\nan edge from node 2 to node 4 with capacity 15,\nan edge from node 3 to node 5 with capacity 8,\nan edge from node 3 to node 8 with capacity 6,\nan edge from node 3 to node 14 with capacity 14,\nan edge from node 3 to node 7 with capacity 15,\nan edge from node 3 to node 4 with capacity 15,\nan edge from node 4 to node 1 with capacity 8,\nan edge from node 4 to node 7 with capacity 19,\nan edge from node 5 to node 6 with capacity 9,\nan edge from node 5 to node 7 with capacity 2,\nan edge from node 5 to node 13 with capacity 12,\nan edge from node 6 to node 14 with capacity 2,\nan edge from node 6 to node 16 with capacity 7,\nan edge from node 6 to node 7 with capacity 1,\nan edge from node 6 to node 12 with capacity 13,\nan edge from node 6 to node 4 with capacity 19,\nan edge from node 7 to node 8 with capacity 15,\nan edge from node 7 to node 3 with capacity 10,\nan edge from node 8 to node 14 with capacity 11,\nan edge from node 8 to node 9 with capacity 4,\nan edge from node 9 to node 6 with capacity 5,\nan edge from node 10 to node 6 with capacity 2,\nan edge from node 10 to node 11 with capacity 4,\nan edge from node 10 to node 5 with capacity 13,\nan edge from node 10 to node 15 with capacity 15,\nan edge from node 10 to node 16 with capacity 12,\nan edge from node 10 to node 2 with capacity 4,\nan edge from node 10 to node 0 with capacity 17,\nan edge from node 10 to node 7 with capacity 7,\nan edge from node 10 to node 12 with capacity 18,\nan edge from node 11 to node 1 with capacity 16,\nan edge from node 11 to node 3 with capacity 18,\nan edge from node 11 to node 10 with capacity 2,\nan edge from node 11 to node 16 with capacity 17,\nan edge from node 11 to node 0 with capacity 6,\nan edge from node 11 to node 12 with capacity 15,\nan edge from node 12 to node 5 with capacity 13,\nan edge from node 12 to node 8 with capacity 8,\nan edge from node 12 to node 3 with capacity 10,\nan edge from node 12 to node 2 with capacity 14,\nan edge from node 13 to node 2 with capacity 20,\nan edge from node 13 to node 0 with capacity 12,\nan edge from node 13 to node 4 with capacity 6,\nan edge from node 14 to node 11 with capacity 16,\nan edge from node 14 to node 10 with capacity 10,\nan edge from node 14 to node 2 with capacity 11,\nan edge from node 14 to node 0 with capacity 19,\nan edge from node 14 to node 12 with capacity 8,\nan edge from node 14 to node 4 with capacity 12,\nan edge from node 15 to node 6 with capacity 19,\nan edge from node 15 to node 11 with capacity 8,\nan edge from node 15 to node 3 with capacity 5,\nan edge from node 15 to node 0 with capacity 12,\nan edge from node 15 to node 9 with capacity 12,\nan edge from node 16 to node 6 with capacity 1,\nan edge from node 16 to node 1 with capacity 19,\nan edge from node 16 to node 15 with capacity 13,\nan edge from node 16 to node 10 with capacity 3,\nan edge from node 16 to node 12 with capacity 18,\nan edge from node 16 to node 4 with capacity 9,\nWhat is the maximum flow from node 12 to node 3:"
            },
            {
                "from": "gpt",
                "value": "45."
            }
        ]
    },
    {
        "id": "flow-hard-graph886",
        "image": "data/flow/graph_visual/hard/graph886.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 6 with capacity 13,\nan edge from node 0 to node 17 with capacity 3,\nan edge from node 0 to node 11 with capacity 7,\nan edge from node 0 to node 8 with capacity 11,\nan edge from node 0 to node 16 with capacity 10,\nan edge from node 0 to node 7 with capacity 15,\nan edge from node 1 to node 15 with capacity 5,\nan edge from node 1 to node 14 with capacity 12,\nan edge from node 1 to node 10 with capacity 1,\nan edge from node 1 to node 8 with capacity 19,\nan edge from node 1 to node 7 with capacity 8,\nan edge from node 1 to node 13 with capacity 8,\nan edge from node 2 to node 6 with capacity 5,\nan edge from node 3 to node 9 with capacity 7,\nan edge from node 3 to node 12 with capacity 4,\nan edge from node 3 to node 11 with capacity 2,\nan edge from node 3 to node 8 with capacity 7,\nan edge from node 4 to node 15 with capacity 13,\nan edge from node 4 to node 14 with capacity 9,\nan edge from node 4 to node 17 with capacity 10,\nan edge from node 5 to node 9 with capacity 19,\nan edge from node 5 to node 2 with capacity 12,\nan edge from node 5 to node 12 with capacity 16,\nan edge from node 5 to node 16 with capacity 2,\nan edge from node 6 to node 0 with capacity 19,\nan edge from node 6 to node 17 with capacity 14,\nan edge from node 6 to node 1 with capacity 6,\nan edge from node 6 to node 5 with capacity 14,\nan edge from node 6 to node 11 with capacity 6,\nan edge from node 6 to node 16 with capacity 14,\nan edge from node 7 to node 4 with capacity 9,\nan edge from node 7 to node 14 with capacity 5,\nan edge from node 7 to node 9 with capacity 8,\nan edge from node 7 to node 1 with capacity 20,\nan edge from node 7 to node 10 with capacity 6,\nan edge from node 7 to node 8 with capacity 16,\nan edge from node 8 to node 6 with capacity 9,\nan edge from node 8 to node 16 with capacity 3,\nan edge from node 8 to node 7 with capacity 13,\nan edge from node 9 to node 14 with capacity 14,\nan edge from node 9 to node 3 with capacity 9,\nan edge from node 9 to node 1 with capacity 2,\nan edge from node 9 to node 16 with capacity 8,\nan edge from node 9 to node 7 with capacity 12,\nan edge from node 9 to node 13 with capacity 13,\nan edge from node 10 to node 4 with capacity 17,\nan edge from node 10 to node 0 with capacity 18,\nan edge from node 10 to node 15 with capacity 3,\nan edge from node 10 to node 6 with capacity 9,\nan edge from node 10 to node 1 with capacity 6,\nan edge from node 10 to node 2 with capacity 3,\nan edge from node 10 to node 12 with capacity 10,\nan edge from node 11 to node 4 with capacity 6,\nan edge from node 11 to node 15 with capacity 19,\nan edge from node 11 to node 6 with capacity 19,\nan edge from node 11 to node 8 with capacity 6,\nan edge from node 11 to node 13 with capacity 9,\nan edge from node 12 to node 4 with capacity 13,\nan edge from node 12 to node 15 with capacity 8,\nan edge from node 12 to node 2 with capacity 20,\nan edge from node 12 to node 16 with capacity 4,\nan edge from node 12 to node 7 with capacity 19,\nan edge from node 13 to node 14 with capacity 19,\nan edge from node 13 to node 6 with capacity 4,\nan edge from node 13 to node 17 with capacity 4,\nan edge from node 13 to node 5 with capacity 10,\nan edge from node 13 to node 7 with capacity 8,\nan edge from node 14 to node 17 with capacity 16,\nan edge from node 15 to node 14 with capacity 14,\nan edge from node 15 to node 3 with capacity 13,\nan edge from node 15 to node 17 with capacity 1,\nan edge from node 15 to node 7 with capacity 9,\nan edge from node 16 to node 6 with capacity 20,\nan edge from node 16 to node 3 with capacity 14,\nan edge from node 16 to node 1 with capacity 17,\nan edge from node 16 to node 12 with capacity 19,\nan edge from node 17 to node 15 with capacity 11,\nan edge from node 17 to node 9 with capacity 7,\nan edge from node 17 to node 2 with capacity 20,\nan edge from node 17 to node 5 with capacity 4,\nan edge from node 17 to node 11 with capacity 17,\nan edge from node 17 to node 8 with capacity 14,\nWhat is the maximum flow from node 12 to node 4:"
            },
            {
                "from": "gpt",
                "value": "35."
            }
        ]
    },
    {
        "id": "flow-hard-graph789",
        "image": "data/flow/graph_visual/hard/graph789.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 6 with capacity 11,\nan edge from node 0 to node 11 with capacity 20,\nan edge from node 0 to node 8 with capacity 2,\nan edge from node 0 to node 3 with capacity 10,\nan edge from node 1 to node 11 with capacity 16,\nan edge from node 1 to node 8 with capacity 5,\nan edge from node 1 to node 0 with capacity 6,\nan edge from node 1 to node 9 with capacity 10,\nan edge from node 1 to node 5 with capacity 4,\nan edge from node 1 to node 3 with capacity 18,\nan edge from node 2 to node 12 with capacity 15,\nan edge from node 2 to node 16 with capacity 17,\nan edge from node 2 to node 9 with capacity 15,\nan edge from node 2 to node 3 with capacity 2,\nan edge from node 2 to node 4 with capacity 12,\nan edge from node 3 to node 6 with capacity 15,\nan edge from node 3 to node 12 with capacity 17,\nan edge from node 3 to node 11 with capacity 10,\nan edge from node 3 to node 0 with capacity 14,\nan edge from node 3 to node 2 with capacity 4,\nan edge from node 3 to node 13 with capacity 19,\nan edge from node 4 to node 2 with capacity 14,\nan edge from node 5 to node 11 with capacity 8,\nan edge from node 5 to node 4 with capacity 16,\nan edge from node 5 to node 15 with capacity 9,\nan edge from node 6 to node 16 with capacity 10,\nan edge from node 6 to node 7 with capacity 20,\nan edge from node 6 to node 10 with capacity 6,\nan edge from node 6 to node 14 with capacity 11,\nan edge from node 6 to node 4 with capacity 11,\nan edge from node 6 to node 13 with capacity 11,\nan edge from node 6 to node 15 with capacity 5,\nan edge from node 7 to node 12 with capacity 8,\nan edge from node 7 to node 11 with capacity 18,\nan edge from node 7 to node 8 with capacity 2,\nan edge from node 7 to node 0 with capacity 8,\nan edge from node 7 to node 10 with capacity 20,\nan edge from node 7 to node 14 with capacity 3,\nan edge from node 7 to node 4 with capacity 12,\nan edge from node 7 to node 13 with capacity 10,\nan edge from node 8 to node 6 with capacity 6,\nan edge from node 8 to node 16 with capacity 6,\nan edge from node 8 to node 0 with capacity 2,\nan edge from node 8 to node 9 with capacity 12,\nan edge from node 8 to node 3 with capacity 3,\nan edge from node 8 to node 15 with capacity 18,\nan edge from node 9 to node 7 with capacity 18,\nan edge from node 10 to node 7 with capacity 10,\nan edge from node 10 to node 2 with capacity 4,\nan edge from node 10 to node 15 with capacity 14,\nan edge from node 11 to node 8 with capacity 6,\nan edge from node 11 to node 10 with capacity 5,\nan edge from node 11 to node 1 with capacity 5,\nan edge from node 11 to node 5 with capacity 11,\nan edge from node 11 to node 15 with capacity 15,\nan edge from node 12 to node 16 with capacity 15,\nan edge from node 12 to node 11 with capacity 2,\nan edge from node 12 to node 3 with capacity 12,\nan edge from node 13 to node 11 with capacity 2,\nan edge from node 13 to node 7 with capacity 16,\nan edge from node 13 to node 1 with capacity 12,\nan edge from node 14 to node 6 with capacity 4,\nan edge from node 14 to node 1 with capacity 20,\nan edge from node 15 to node 6 with capacity 18,\nan edge from node 15 to node 12 with capacity 19,\nan edge from node 15 to node 16 with capacity 11,\nan edge from node 15 to node 11 with capacity 9,\nan edge from node 15 to node 14 with capacity 1,\nan edge from node 16 to node 7 with capacity 5,\nan edge from node 16 to node 9 with capacity 5,\nan edge from node 16 to node 15 with capacity 2,\nWhat is the maximum flow from node 11 to node 12:"
            },
            {
                "from": "gpt",
                "value": "42."
            }
        ]
    },
    {
        "id": "flow-hard-graph519",
        "image": "data/flow/graph_visual/hard/graph519.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 6 with capacity 9,\nan edge from node 0 to node 1 with capacity 17,\nan edge from node 0 to node 7 with capacity 3,\nan edge from node 0 to node 10 with capacity 14,\nan edge from node 1 to node 2 with capacity 15,\nan edge from node 1 to node 7 with capacity 15,\nan edge from node 1 to node 14 with capacity 1,\nan edge from node 1 to node 10 with capacity 8,\nan edge from node 1 to node 0 with capacity 8,\nan edge from node 2 to node 7 with capacity 11,\nan edge from node 2 to node 9 with capacity 4,\nan edge from node 4 to node 1 with capacity 11,\nan edge from node 4 to node 11 with capacity 15,\nan edge from node 4 to node 10 with capacity 20,\nan edge from node 4 to node 9 with capacity 18,\nan edge from node 5 to node 4 with capacity 3,\nan edge from node 5 to node 11 with capacity 2,\nan edge from node 6 to node 11 with capacity 18,\nan edge from node 6 to node 10 with capacity 10,\nan edge from node 6 to node 12 with capacity 5,\nan edge from node 7 to node 6 with capacity 4,\nan edge from node 7 to node 5 with capacity 9,\nan edge from node 7 to node 2 with capacity 9,\nan edge from node 7 to node 10 with capacity 1,\nan edge from node 8 to node 3 with capacity 3,\nan edge from node 8 to node 11 with capacity 6,\nan edge from node 8 to node 13 with capacity 17,\nan edge from node 8 to node 9 with capacity 6,\nan edge from node 9 to node 4 with capacity 19,\nan edge from node 9 to node 12 with capacity 8,\nan edge from node 10 to node 8 with capacity 19,\nan edge from node 10 to node 2 with capacity 8,\nan edge from node 12 to node 8 with capacity 13,\nan edge from node 12 to node 3 with capacity 8,\nan edge from node 12 to node 7 with capacity 5,\nan edge from node 12 to node 0 with capacity 7,\nan edge from node 13 to node 3 with capacity 16,\nan edge from node 13 to node 2 with capacity 13,\nan edge from node 13 to node 7 with capacity 9,\nan edge from node 13 to node 0 with capacity 7,\nan edge from node 14 to node 4 with capacity 18,\nan edge from node 14 to node 13 with capacity 20,\nWhat is the maximum flow from node 5 to node 10:"
            },
            {
                "from": "gpt",
                "value": "3."
            }
        ]
    },
    {
        "id": "flow-hard-graph228",
        "image": "data/flow/graph_visual/hard/graph228.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 10 with capacity 9,\nan edge from node 0 to node 6 with capacity 17,\nan edge from node 0 to node 1 with capacity 3,\nan edge from node 1 to node 8 with capacity 1,\nan edge from node 1 to node 11 with capacity 17,\nan edge from node 1 to node 3 with capacity 19,\nan edge from node 2 to node 9 with capacity 20,\nan edge from node 2 to node 1 with capacity 9,\nan edge from node 3 to node 7 with capacity 5,\nan edge from node 3 to node 10 with capacity 16,\nan edge from node 3 to node 5 with capacity 9,\nan edge from node 3 to node 1 with capacity 7,\nan edge from node 4 to node 9 with capacity 14,\nan edge from node 4 to node 6 with capacity 9,\nan edge from node 4 to node 11 with capacity 17,\nan edge from node 5 to node 7 with capacity 11,\nan edge from node 5 to node 3 with capacity 5,\nan edge from node 6 to node 9 with capacity 7,\nan edge from node 6 to node 7 with capacity 7,\nan edge from node 6 to node 4 with capacity 5,\nan edge from node 6 to node 3 with capacity 8,\nan edge from node 7 to node 2 with capacity 6,\nan edge from node 7 to node 8 with capacity 6,\nan edge from node 7 to node 6 with capacity 15,\nan edge from node 7 to node 11 with capacity 15,\nan edge from node 8 to node 1 with capacity 3,\nan edge from node 8 to node 3 with capacity 15,\nan edge from node 9 to node 10 with capacity 11,\nan edge from node 9 to node 1 with capacity 19,\nan edge from node 10 to node 2 with capacity 6,\nan edge from node 10 to node 7 with capacity 8,\nan edge from node 10 to node 5 with capacity 17,\nan edge from node 11 to node 8 with capacity 14,\nan edge from node 11 to node 5 with capacity 1,\nWhat is the maximum flow from node 5 to node 4:"
            },
            {
                "from": "gpt",
                "value": "5."
            }
        ]
    },
    {
        "id": "flow-hard-graph1026",
        "image": "data/flow/graph_visual/hard/graph1026.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 18 with capacity 5,\nan edge from node 0 to node 9 with capacity 9,\nan edge from node 0 to node 11 with capacity 11,\nan edge from node 0 to node 16 with capacity 13,\nan edge from node 0 to node 2 with capacity 16,\nan edge from node 1 to node 10 with capacity 15,\nan edge from node 1 to node 17 with capacity 2,\nan edge from node 1 to node 0 with capacity 11,\nan edge from node 1 to node 16 with capacity 9,\nan edge from node 1 to node 13 with capacity 5,\nan edge from node 2 to node 13 with capacity 4,\nan edge from node 3 to node 7 with capacity 10,\nan edge from node 3 to node 8 with capacity 19,\nan edge from node 3 to node 2 with capacity 6,\nan edge from node 4 to node 10 with capacity 6,\nan edge from node 4 to node 0 with capacity 14,\nan edge from node 4 to node 14 with capacity 17,\nan edge from node 4 to node 8 with capacity 2,\nan edge from node 4 to node 1 with capacity 12,\nan edge from node 5 to node 18 with capacity 19,\nan edge from node 5 to node 0 with capacity 16,\nan edge from node 5 to node 13 with capacity 18,\nan edge from node 7 to node 11 with capacity 1,\nan edge from node 7 to node 3 with capacity 1,\nan edge from node 7 to node 0 with capacity 1,\nan edge from node 7 to node 6 with capacity 11,\nan edge from node 7 to node 1 with capacity 15,\nan edge from node 8 to node 3 with capacity 20,\nan edge from node 8 to node 12 with capacity 11,\nan edge from node 8 to node 0 with capacity 20,\nan edge from node 8 to node 7 with capacity 20,\nan edge from node 8 to node 16 with capacity 14,\nan edge from node 8 to node 13 with capacity 11,\nan edge from node 8 to node 2 with capacity 15,\nan edge from node 9 to node 10 with capacity 5,\nan edge from node 9 to node 4 with capacity 15,\nan edge from node 9 to node 17 with capacity 6,\nan edge from node 9 to node 14 with capacity 16,\nan edge from node 9 to node 7 with capacity 9,\nan edge from node 9 to node 2 with capacity 19,\nan edge from node 10 to node 4 with capacity 7,\nan edge from node 10 to node 12 with capacity 11,\nan edge from node 10 to node 16 with capacity 20,\nan edge from node 10 to node 13 with capacity 4,\nan edge from node 11 to node 10 with capacity 1,\nan edge from node 11 to node 14 with capacity 1,\nan edge from node 11 to node 5 with capacity 19,\nan edge from node 11 to node 2 with capacity 11,\nan edge from node 12 to node 11 with capacity 9,\nan edge from node 12 to node 4 with capacity 3,\nan edge from node 12 to node 8 with capacity 1,\nan edge from node 12 to node 1 with capacity 15,\nan edge from node 13 to node 11 with capacity 14,\nan edge from node 13 to node 4 with capacity 1,\nan edge from node 13 to node 14 with capacity 4,\nan edge from node 13 to node 7 with capacity 18,\nan edge from node 13 to node 6 with capacity 20,\nan edge from node 13 to node 1 with capacity 8,\nan edge from node 14 to node 3 with capacity 1,\nan edge from node 14 to node 12 with capacity 20,\nan edge from node 14 to node 7 with capacity 17,\nan edge from node 15 to node 18 with capacity 18,\nan edge from node 15 to node 4 with capacity 3,\nan edge from node 15 to node 14 with capacity 14,\nan edge from node 15 to node 16 with capacity 6,\nan edge from node 16 to node 3 with capacity 19,\nan edge from node 16 to node 4 with capacity 5,\nan edge from node 16 to node 8 with capacity 17,\nan edge from node 16 to node 2 with capacity 8,\nan edge from node 17 to node 9 with capacity 4,\nan edge from node 17 to node 4 with capacity 8,\nan edge from node 17 to node 1 with capacity 10,\nan edge from node 18 to node 11 with capacity 7,\nan edge from node 18 to node 10 with capacity 1,\nan edge from node 18 to node 7 with capacity 9,\nWhat is the maximum flow from node 18 to node 6:"
            },
            {
                "from": "gpt",
                "value": "17."
            }
        ]
    },
    {
        "id": "flow-hard-graph1118",
        "image": "data/flow/graph_visual/hard/graph1118.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 13 with capacity 15,\nan edge from node 0 to node 5 with capacity 3,\nan edge from node 1 to node 15 with capacity 2,\nan edge from node 1 to node 16 with capacity 13,\nan edge from node 1 to node 4 with capacity 14,\nan edge from node 2 to node 8 with capacity 3,\nan edge from node 2 to node 11 with capacity 6,\nan edge from node 2 to node 5 with capacity 20,\nan edge from node 3 to node 19 with capacity 7,\nan edge from node 3 to node 18 with capacity 4,\nan edge from node 4 to node 9 with capacity 14,\nan edge from node 4 to node 0 with capacity 14,\nan edge from node 4 to node 16 with capacity 7,\nan edge from node 4 to node 17 with capacity 10,\nan edge from node 4 to node 10 with capacity 6,\nan edge from node 4 to node 6 with capacity 18,\nan edge from node 5 to node 0 with capacity 11,\nan edge from node 5 to node 14 with capacity 2,\nan edge from node 5 to node 13 with capacity 13,\nan edge from node 5 to node 8 with capacity 2,\nan edge from node 5 to node 3 with capacity 7,\nan edge from node 6 to node 0 with capacity 18,\nan edge from node 6 to node 2 with capacity 11,\nan edge from node 6 to node 7 with capacity 13,\nan edge from node 6 to node 5 with capacity 10,\nan edge from node 6 to node 1 with capacity 15,\nan edge from node 6 to node 10 with capacity 18,\nan edge from node 6 to node 3 with capacity 4,\nan edge from node 6 to node 4 with capacity 13,\nan edge from node 7 to node 9 with capacity 19,\nan edge from node 7 to node 16 with capacity 15,\nan edge from node 7 to node 18 with capacity 11,\nan edge from node 7 to node 6 with capacity 14,\nan edge from node 8 to node 19 with capacity 2,\nan edge from node 8 to node 2 with capacity 13,\nan edge from node 8 to node 13 with capacity 6,\nan edge from node 8 to node 5 with capacity 7,\nan edge from node 8 to node 12 with capacity 17,\nan edge from node 9 to node 8 with capacity 12,\nan edge from node 9 to node 7 with capacity 14,\nan edge from node 9 to node 3 with capacity 2,\nan edge from node 10 to node 19 with capacity 11,\nan edge from node 10 to node 16 with capacity 2,\nan edge from node 10 to node 7 with capacity 5,\nan edge from node 10 to node 11 with capacity 6,\nan edge from node 10 to node 1 with capacity 1,\nan edge from node 10 to node 4 with capacity 7,\nan edge from node 11 to node 9 with capacity 14,\nan edge from node 11 to node 15 with capacity 20,\nan edge from node 11 to node 19 with capacity 14,\nan edge from node 11 to node 13 with capacity 19,\nan edge from node 11 to node 17 with capacity 14,\nan edge from node 11 to node 1 with capacity 13,\nan edge from node 11 to node 3 with capacity 17,\nan edge from node 11 to node 6 with capacity 18,\nan edge from node 12 to node 16 with capacity 7,\nan edge from node 12 to node 8 with capacity 9,\nan edge from node 12 to node 10 with capacity 10,\nan edge from node 12 to node 3 with capacity 1,\nan edge from node 13 to node 9 with capacity 9,\nan edge from node 13 to node 15 with capacity 16,\nan edge from node 13 to node 16 with capacity 1,\nan edge from node 13 to node 2 with capacity 3,\nan edge from node 13 to node 17 with capacity 8,\nan edge from node 13 to node 18 with capacity 15,\nan edge from node 13 to node 3 with capacity 19,\nan edge from node 14 to node 7 with capacity 8,\nan edge from node 14 to node 1 with capacity 18,\nan edge from node 14 to node 10 with capacity 2,\nan edge from node 15 to node 16 with capacity 1,\nan edge from node 15 to node 8 with capacity 6,\nan edge from node 15 to node 11 with capacity 12,\nan edge from node 15 to node 12 with capacity 17,\nan edge from node 15 to node 4 with capacity 1,\nan edge from node 16 to node 7 with capacity 14,\nan edge from node 16 to node 4 with capacity 4,\nan edge from node 17 to node 13 with capacity 4,\nan edge from node 17 to node 1 with capacity 17,\nan edge from node 17 to node 18 with capacity 18,\nan edge from node 17 to node 3 with capacity 18,\nan edge from node 18 to node 19 with capacity 6,\nan edge from node 18 to node 8 with capacity 19,\nan edge from node 18 to node 17 with capacity 17,\nan edge from node 18 to node 7 with capacity 10,\nan edge from node 18 to node 12 with capacity 7,\nan edge from node 19 to node 17 with capacity 12,\nan edge from node 19 to node 7 with capacity 11,\nan edge from node 19 to node 12 with capacity 19,\nWhat is the maximum flow from node 7 to node 8:"
            },
            {
                "from": "gpt",
                "value": "43."
            }
        ]
    },
    {
        "id": "flow-hard-graph888",
        "image": "data/flow/graph_visual/hard/graph888.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 10 with capacity 14,\nan edge from node 0 to node 2 with capacity 1,\nan edge from node 0 to node 12 with capacity 20,\nan edge from node 0 to node 16 with capacity 10,\nan edge from node 0 to node 7 with capacity 16,\nan edge from node 1 to node 11 with capacity 19,\nan edge from node 1 to node 10 with capacity 14,\nan edge from node 1 to node 4 with capacity 18,\nan edge from node 2 to node 4 with capacity 7,\nan edge from node 2 to node 6 with capacity 20,\nan edge from node 3 to node 10 with capacity 1,\nan edge from node 3 to node 17 with capacity 6,\nan edge from node 3 to node 2 with capacity 9,\nan edge from node 3 to node 13 with capacity 9,\nan edge from node 3 to node 1 with capacity 1,\nan edge from node 3 to node 16 with capacity 20,\nan edge from node 3 to node 9 with capacity 2,\nan edge from node 3 to node 6 with capacity 15,\nan edge from node 4 to node 17 with capacity 7,\nan edge from node 4 to node 12 with capacity 13,\nan edge from node 4 to node 1 with capacity 2,\nan edge from node 4 to node 16 with capacity 19,\nan edge from node 4 to node 7 with capacity 16,\nan edge from node 5 to node 10 with capacity 10,\nan edge from node 5 to node 14 with capacity 19,\nan edge from node 5 to node 3 with capacity 20,\nan edge from node 5 to node 2 with capacity 4,\nan edge from node 5 to node 8 with capacity 11,\nan edge from node 5 to node 7 with capacity 5,\nan edge from node 5 to node 4 with capacity 15,\nan edge from node 6 to node 11 with capacity 20,\nan edge from node 6 to node 8 with capacity 9,\nan edge from node 6 to node 16 with capacity 15,\nan edge from node 7 to node 10 with capacity 2,\nan edge from node 7 to node 3 with capacity 6,\nan edge from node 7 to node 4 with capacity 19,\nan edge from node 8 to node 10 with capacity 1,\nan edge from node 8 to node 2 with capacity 2,\nan edge from node 8 to node 12 with capacity 6,\nan edge from node 8 to node 16 with capacity 15,\nan edge from node 8 to node 0 with capacity 19,\nan edge from node 9 to node 11 with capacity 15,\nan edge from node 9 to node 10 with capacity 4,\nan edge from node 9 to node 3 with capacity 13,\nan edge from node 9 to node 13 with capacity 4,\nan edge from node 9 to node 16 with capacity 4,\nan edge from node 9 to node 4 with capacity 8,\nan edge from node 10 to node 3 with capacity 11,\nan edge from node 10 to node 2 with capacity 9,\nan edge from node 10 to node 7 with capacity 15,\nan edge from node 10 to node 15 with capacity 17,\nan edge from node 11 to node 10 with capacity 8,\nan edge from node 11 to node 2 with capacity 6,\nan edge from node 11 to node 12 with capacity 3,\nan edge from node 11 to node 13 with capacity 10,\nan edge from node 11 to node 7 with capacity 15,\nan edge from node 11 to node 9 with capacity 9,\nan edge from node 11 to node 15 with capacity 2,\nan edge from node 11 to node 6 with capacity 13,\nan edge from node 12 to node 11 with capacity 8,\nan edge from node 12 to node 17 with capacity 13,\nan edge from node 12 to node 0 with capacity 2,\nan edge from node 12 to node 6 with capacity 17,\nan edge from node 13 to node 14 with capacity 3,\nan edge from node 13 to node 17 with capacity 1,\nan edge from node 13 to node 7 with capacity 3,\nan edge from node 13 to node 15 with capacity 10,\nan edge from node 13 to node 0 with capacity 15,\nan edge from node 14 to node 3 with capacity 4,\nan edge from node 14 to node 5 with capacity 3,\nan edge from node 14 to node 13 with capacity 12,\nan edge from node 14 to node 16 with capacity 9,\nan edge from node 14 to node 7 with capacity 17,\nan edge from node 14 to node 9 with capacity 6,\nan edge from node 15 to node 10 with capacity 20,\nan edge from node 15 to node 3 with capacity 12,\nan edge from node 15 to node 16 with capacity 6,\nan edge from node 16 to node 4 with capacity 12,\nan edge from node 17 to node 16 with capacity 8,\nWhat is the maximum flow from node 8 to node 17:"
            },
            {
                "from": "gpt",
                "value": "27."
            }
        ]
    },
    {
        "id": "flow-hard-graph397",
        "image": "data/flow/graph_visual/hard/graph397.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 4 with capacity 17,\nan edge from node 0 to node 6 with capacity 9,\nan edge from node 0 to node 10 with capacity 18,\nan edge from node 0 to node 8 with capacity 3,\nan edge from node 0 to node 1 with capacity 13,\nan edge from node 1 to node 2 with capacity 3,\nan edge from node 1 to node 8 with capacity 7,\nan edge from node 1 to node 0 with capacity 14,\nan edge from node 1 to node 12 with capacity 7,\nan edge from node 2 to node 4 with capacity 11,\nan edge from node 2 to node 10 with capacity 7,\nan edge from node 2 to node 0 with capacity 15,\nan edge from node 2 to node 12 with capacity 5,\nan edge from node 3 to node 2 with capacity 18,\nan edge from node 3 to node 6 with capacity 2,\nan edge from node 4 to node 13 with capacity 11,\nan edge from node 4 to node 8 with capacity 4,\nan edge from node 4 to node 9 with capacity 16,\nan edge from node 4 to node 0 with capacity 3,\nan edge from node 4 to node 12 with capacity 6,\nan edge from node 5 to node 7 with capacity 12,\nan edge from node 5 to node 3 with capacity 10,\nan edge from node 5 to node 0 with capacity 4,\nan edge from node 5 to node 12 with capacity 1,\nan edge from node 6 to node 4 with capacity 18,\nan edge from node 6 to node 13 with capacity 20,\nan edge from node 6 to node 10 with capacity 10,\nan edge from node 6 to node 11 with capacity 5,\nan edge from node 7 to node 2 with capacity 3,\nan edge from node 7 to node 6 with capacity 10,\nan edge from node 7 to node 8 with capacity 10,\nan edge from node 7 to node 9 with capacity 10,\nan edge from node 7 to node 0 with capacity 17,\nan edge from node 7 to node 5 with capacity 15,\nan edge from node 7 to node 11 with capacity 7,\nan edge from node 9 to node 7 with capacity 8,\nan edge from node 9 to node 8 with capacity 7,\nan edge from node 9 to node 0 with capacity 2,\nan edge from node 10 to node 7 with capacity 8,\nan edge from node 10 to node 11 with capacity 2,\nan edge from node 10 to node 12 with capacity 10,\nan edge from node 11 to node 7 with capacity 15,\nan edge from node 11 to node 2 with capacity 15,\nan edge from node 11 to node 9 with capacity 8,\nan edge from node 12 to node 7 with capacity 13,\nan edge from node 12 to node 3 with capacity 7,\nan edge from node 13 to node 7 with capacity 20,\nan edge from node 13 to node 11 with capacity 16,\nWhat is the maximum flow from node 0 to node 8:"
            },
            {
                "from": "gpt",
                "value": "31."
            }
        ]
    },
    {
        "id": "flow-hard-graph102",
        "image": "data/flow/graph_visual/hard/graph102.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 3 with capacity 19,\nan edge from node 1 to node 9 with capacity 14,\nan edge from node 1 to node 6 with capacity 10,\nan edge from node 1 to node 7 with capacity 8,\nan edge from node 2 to node 6 with capacity 8,\nan edge from node 2 to node 0 with capacity 16,\nan edge from node 3 to node 1 with capacity 5,\nan edge from node 3 to node 8 with capacity 4,\nan edge from node 3 to node 10 with capacity 10,\nan edge from node 4 to node 1 with capacity 9,\nan edge from node 4 to node 2 with capacity 20,\nan edge from node 5 to node 1 with capacity 12,\nan edge from node 5 to node 10 with capacity 16,\nan edge from node 6 to node 5 with capacity 7,\nan edge from node 6 to node 3 with capacity 20,\nan edge from node 6 to node 0 with capacity 10,\nan edge from node 7 to node 9 with capacity 20,\nan edge from node 7 to node 6 with capacity 9,\nan edge from node 7 to node 0 with capacity 17,\nan edge from node 8 to node 9 with capacity 17,\nan edge from node 8 to node 1 with capacity 14,\nan edge from node 8 to node 5 with capacity 13,\nan edge from node 8 to node 10 with capacity 6,\nan edge from node 9 to node 4 with capacity 3,\nan edge from node 9 to node 5 with capacity 11,\nan edge from node 10 to node 9 with capacity 5,\nan edge from node 10 to node 2 with capacity 5,\nWhat is the maximum flow from node 4 to node 5:"
            },
            {
                "from": "gpt",
                "value": "22."
            }
        ]
    },
    {
        "id": "flow-hard-graph363",
        "image": "data/flow/graph_visual/hard/graph363.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 10 with capacity 14,\nan edge from node 0 to node 7 with capacity 17,\nan edge from node 0 to node 11 with capacity 18,\nan edge from node 0 to node 1 with capacity 17,\nan edge from node 0 to node 6 with capacity 5,\nan edge from node 1 to node 12 with capacity 15,\nan edge from node 1 to node 7 with capacity 17,\nan edge from node 1 to node 8 with capacity 12,\nan edge from node 1 to node 0 with capacity 14,\nan edge from node 1 to node 4 with capacity 11,\nan edge from node 2 to node 5 with capacity 12,\nan edge from node 2 to node 7 with capacity 12,\nan edge from node 2 to node 13 with capacity 2,\nan edge from node 3 to node 12 with capacity 5,\nan edge from node 3 to node 10 with capacity 6,\nan edge from node 3 to node 13 with capacity 16,\nan edge from node 3 to node 11 with capacity 12,\nan edge from node 3 to node 0 with capacity 1,\nan edge from node 3 to node 4 with capacity 15,\nan edge from node 4 to node 12 with capacity 3,\nan edge from node 4 to node 10 with capacity 8,\nan edge from node 4 to node 13 with capacity 6,\nan edge from node 4 to node 1 with capacity 9,\nan edge from node 5 to node 10 with capacity 17,\nan edge from node 5 to node 7 with capacity 9,\nan edge from node 5 to node 11 with capacity 19,\nan edge from node 5 to node 8 with capacity 18,\nan edge from node 5 to node 2 with capacity 19,\nan edge from node 5 to node 0 with capacity 12,\nan edge from node 5 to node 4 with capacity 1,\nan edge from node 6 to node 10 with capacity 9,\nan edge from node 6 to node 7 with capacity 12,\nan edge from node 6 to node 11 with capacity 16,\nan edge from node 6 to node 0 with capacity 20,\nan edge from node 6 to node 4 with capacity 18,\nan edge from node 7 to node 12 with capacity 2,\nan edge from node 7 to node 10 with capacity 11,\nan edge from node 7 to node 3 with capacity 3,\nan edge from node 7 to node 8 with capacity 1,\nan edge from node 7 to node 9 with capacity 9,\nan edge from node 7 to node 2 with capacity 2,\nan edge from node 8 to node 10 with capacity 5,\nan edge from node 8 to node 13 with capacity 7,\nan edge from node 8 to node 1 with capacity 4,\nan edge from node 8 to node 6 with capacity 15,\nan edge from node 9 to node 10 with capacity 20,\nan edge from node 9 to node 6 with capacity 20,\nan edge from node 9 to node 4 with capacity 15,\nan edge from node 10 to node 5 with capacity 10,\nan edge from node 10 to node 11 with capacity 18,\nan edge from node 10 to node 8 with capacity 16,\nan edge from node 11 to node 8 with capacity 15,\nan edge from node 11 to node 1 with capacity 20,\nan edge from node 11 to node 0 with capacity 15,\nan edge from node 11 to node 6 with capacity 8,\nan edge from node 12 to node 8 with capacity 18,\nan edge from node 12 to node 1 with capacity 15,\nan edge from node 12 to node 6 with capacity 1,\nan edge from node 13 to node 5 with capacity 15,\nan edge from node 13 to node 11 with capacity 19,\nan edge from node 13 to node 0 with capacity 8,\nan edge from node 13 to node 6 with capacity 4,\nWhat is the maximum flow from node 4 to node 5:"
            },
            {
                "from": "gpt",
                "value": "26."
            }
        ]
    },
    {
        "id": "flow-hard-graph637",
        "image": "data/flow/graph_visual/hard/graph637.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 14 with capacity 7,\nan edge from node 0 to node 4 with capacity 1,\nan edge from node 0 to node 13 with capacity 16,\nan edge from node 1 to node 0 with capacity 8,\nan edge from node 1 to node 15 with capacity 14,\nan edge from node 2 to node 7 with capacity 1,\nan edge from node 2 to node 9 with capacity 17,\nan edge from node 2 to node 5 with capacity 13,\nan edge from node 2 to node 3 with capacity 6,\nan edge from node 2 to node 11 with capacity 5,\nan edge from node 2 to node 15 with capacity 8,\nan edge from node 3 to node 8 with capacity 16,\nan edge from node 3 to node 5 with capacity 1,\nan edge from node 3 to node 1 with capacity 2,\nan edge from node 4 to node 7 with capacity 6,\nan edge from node 4 to node 10 with capacity 1,\nan edge from node 4 to node 9 with capacity 11,\nan edge from node 4 to node 5 with capacity 9,\nan edge from node 4 to node 11 with capacity 12,\nan edge from node 5 to node 6 with capacity 6,\nan edge from node 5 to node 12 with capacity 6,\nan edge from node 6 to node 8 with capacity 2,\nan edge from node 6 to node 7 with capacity 13,\nan edge from node 6 to node 0 with capacity 17,\nan edge from node 6 to node 5 with capacity 7,\nan edge from node 6 to node 15 with capacity 12,\nan edge from node 7 to node 0 with capacity 8,\nan edge from node 7 to node 2 with capacity 17,\nan edge from node 7 to node 14 with capacity 12,\nan edge from node 7 to node 1 with capacity 16,\nan edge from node 8 to node 0 with capacity 2,\nan edge from node 8 to node 2 with capacity 12,\nan edge from node 8 to node 3 with capacity 15,\nan edge from node 8 to node 14 with capacity 8,\nan edge from node 8 to node 1 with capacity 1,\nan edge from node 9 to node 8 with capacity 14,\nan edge from node 9 to node 7 with capacity 10,\nan edge from node 9 to node 10 with capacity 1,\nan edge from node 9 to node 0 with capacity 4,\nan edge from node 9 to node 4 with capacity 15,\nan edge from node 9 to node 13 with capacity 3,\nan edge from node 9 to node 15 with capacity 8,\nan edge from node 10 to node 8 with capacity 10,\nan edge from node 10 to node 11 with capacity 20,\nan edge from node 10 to node 12 with capacity 10,\nan edge from node 11 to node 14 with capacity 7,\nan edge from node 12 to node 0 with capacity 17,\nan edge from node 12 to node 4 with capacity 4,\nan edge from node 12 to node 11 with capacity 8,\nan edge from node 13 to node 10 with capacity 7,\nan edge from node 13 to node 9 with capacity 20,\nan edge from node 13 to node 0 with capacity 1,\nan edge from node 13 to node 11 with capacity 13,\nan edge from node 14 to node 9 with capacity 7,\nan edge from node 14 to node 4 with capacity 17,\nan edge from node 15 to node 8 with capacity 20,\nan edge from node 15 to node 10 with capacity 13,\nan edge from node 15 to node 0 with capacity 17,\nan edge from node 15 to node 3 with capacity 20,\nWhat is the maximum flow from node 14 to node 3:"
            },
            {
                "from": "gpt",
                "value": "24."
            }
        ]
    },
    {
        "id": "flow-hard-graph329",
        "image": "data/flow/graph_visual/hard/graph329.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 1 to node 2 with capacity 16,\nan edge from node 1 to node 3 with capacity 18,\nan edge from node 1 to node 0 with capacity 9,\nan edge from node 1 to node 12 with capacity 16,\nan edge from node 2 to node 12 with capacity 7,\nan edge from node 3 to node 6 with capacity 14,\nan edge from node 3 to node 1 with capacity 8,\nan edge from node 3 to node 8 with capacity 15,\nan edge from node 4 to node 11 with capacity 4,\nan edge from node 4 to node 10 with capacity 11,\nan edge from node 4 to node 6 with capacity 15,\nan edge from node 5 to node 7 with capacity 7,\nan edge from node 5 to node 10 with capacity 15,\nan edge from node 5 to node 8 with capacity 19,\nan edge from node 6 to node 7 with capacity 2,\nan edge from node 6 to node 3 with capacity 4,\nan edge from node 6 to node 12 with capacity 19,\nan edge from node 6 to node 1 with capacity 18,\nan edge from node 7 to node 2 with capacity 12,\nan edge from node 7 to node 10 with capacity 4,\nan edge from node 8 to node 11 with capacity 16,\nan edge from node 8 to node 3 with capacity 8,\nan edge from node 8 to node 0 with capacity 6,\nan edge from node 8 to node 12 with capacity 16,\nan edge from node 8 to node 9 with capacity 15,\nan edge from node 8 to node 4 with capacity 12,\nan edge from node 8 to node 5 with capacity 8,\nan edge from node 9 to node 6 with capacity 2,\nan edge from node 10 to node 7 with capacity 19,\nan edge from node 10 to node 12 with capacity 15,\nan edge from node 11 to node 3 with capacity 9,\nan edge from node 11 to node 10 with capacity 13,\nan edge from node 11 to node 6 with capacity 13,\nan edge from node 11 to node 1 with capacity 7,\nan edge from node 11 to node 4 with capacity 7,\nan edge from node 11 to node 5 with capacity 7,\nan edge from node 12 to node 10 with capacity 16,\nan edge from node 12 to node 4 with capacity 19,\nan edge from node 12 to node 5 with capacity 20,\nWhat is the maximum flow from node 10 to node 0:"
            },
            {
                "from": "gpt",
                "value": "15."
            }
        ]
    },
    {
        "id": "flow-hard-graph712",
        "image": "data/flow/graph_visual/hard/graph712.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 11 with capacity 17,\nan edge from node 0 to node 4 with capacity 2,\nan edge from node 0 to node 7 with capacity 11,\nan edge from node 0 to node 9 with capacity 14,\nan edge from node 0 to node 8 with capacity 10,\nan edge from node 1 to node 4 with capacity 1,\nan edge from node 1 to node 7 with capacity 13,\nan edge from node 1 to node 5 with capacity 17,\nan edge from node 1 to node 15 with capacity 11,\nan edge from node 2 to node 7 with capacity 6,\nan edge from node 2 to node 13 with capacity 15,\nan edge from node 2 to node 1 with capacity 15,\nan edge from node 3 to node 0 with capacity 4,\nan edge from node 3 to node 1 with capacity 4,\nan edge from node 4 to node 11 with capacity 17,\nan edge from node 4 to node 0 with capacity 2,\nan edge from node 4 to node 15 with capacity 9,\nan edge from node 4 to node 8 with capacity 15,\nan edge from node 4 to node 1 with capacity 15,\nan edge from node 5 to node 9 with capacity 14,\nan edge from node 5 to node 12 with capacity 4,\nan edge from node 5 to node 8 with capacity 4,\nan edge from node 5 to node 14 with capacity 5,\nan edge from node 6 to node 3 with capacity 13,\nan edge from node 6 to node 9 with capacity 13,\nan edge from node 6 to node 15 with capacity 16,\nan edge from node 6 to node 14 with capacity 18,\nan edge from node 7 to node 4 with capacity 6,\nan edge from node 7 to node 15 with capacity 4,\nan edge from node 7 to node 8 with capacity 1,\nan edge from node 9 to node 0 with capacity 17,\nan edge from node 9 to node 1 with capacity 2,\nan edge from node 10 to node 4 with capacity 4,\nan edge from node 10 to node 5 with capacity 12,\nan edge from node 10 to node 15 with capacity 6,\nan edge from node 11 to node 10 with capacity 7,\nan edge from node 11 to node 9 with capacity 6,\nan edge from node 11 to node 1 with capacity 10,\nan edge from node 12 to node 11 with capacity 4,\nan edge from node 12 to node 7 with capacity 4,\nan edge from node 12 to node 10 with capacity 9,\nan edge from node 12 to node 13 with capacity 12,\nan edge from node 12 to node 0 with capacity 19,\nan edge from node 12 to node 9 with capacity 17,\nan edge from node 12 to node 8 with capacity 14,\nan edge from node 12 to node 1 with capacity 13,\nan edge from node 13 to node 11 with capacity 20,\nan edge from node 13 to node 5 with capacity 20,\nan edge from node 13 to node 0 with capacity 12,\nan edge from node 13 to node 8 with capacity 8,\nan edge from node 13 to node 1 with capacity 3,\nan edge from node 14 to node 11 with capacity 5,\nan edge from node 15 to node 7 with capacity 2,\nan edge from node 15 to node 13 with capacity 14,\nan edge from node 15 to node 6 with capacity 8,\nWhat is the maximum flow from node 8 to node 1:"
            },
            {
                "from": "gpt",
                "value": "0."
            }
        ]
    },
    {
        "id": "flow-hard-graph441",
        "image": "data/flow/graph_visual/hard/graph441.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 7 with capacity 18,\nan edge from node 0 to node 6 with capacity 6,\nan edge from node 0 to node 1 with capacity 6,\nan edge from node 1 to node 7 with capacity 11,\nan edge from node 1 to node 8 with capacity 18,\nan edge from node 1 to node 2 with capacity 6,\nan edge from node 2 to node 9 with capacity 15,\nan edge from node 2 to node 11 with capacity 1,\nan edge from node 2 to node 8 with capacity 6,\nan edge from node 2 to node 6 with capacity 15,\nan edge from node 3 to node 9 with capacity 5,\nan edge from node 3 to node 11 with capacity 14,\nan edge from node 3 to node 8 with capacity 2,\nan edge from node 4 to node 0 with capacity 2,\nan edge from node 4 to node 3 with capacity 5,\nan edge from node 4 to node 13 with capacity 6,\nan edge from node 4 to node 2 with capacity 2,\nan edge from node 6 to node 12 with capacity 6,\nan edge from node 6 to node 10 with capacity 19,\nan edge from node 6 to node 7 with capacity 5,\nan edge from node 6 to node 5 with capacity 4,\nan edge from node 6 to node 4 with capacity 5,\nan edge from node 7 to node 5 with capacity 9,\nan edge from node 7 to node 2 with capacity 6,\nan edge from node 8 to node 12 with capacity 11,\nan edge from node 8 to node 10 with capacity 18,\nan edge from node 8 to node 3 with capacity 20,\nan edge from node 8 to node 6 with capacity 12,\nan edge from node 9 to node 10 with capacity 17,\nan edge from node 9 to node 8 with capacity 13,\nan edge from node 10 to node 4 with capacity 12,\nan edge from node 11 to node 3 with capacity 12,\nan edge from node 11 to node 4 with capacity 2,\nan edge from node 12 to node 9 with capacity 16,\nan edge from node 12 to node 8 with capacity 19,\nan edge from node 12 to node 5 with capacity 11,\nan edge from node 13 to node 12 with capacity 8,\nan edge from node 13 to node 0 with capacity 1,\nan edge from node 13 to node 11 with capacity 10,\nan edge from node 13 to node 5 with capacity 19,\nan edge from node 13 to node 1 with capacity 17,\nan edge from node 13 to node 2 with capacity 2,\nWhat is the maximum flow from node 2 to node 8:"
            },
            {
                "from": "gpt",
                "value": "35."
            }
        ]
    },
    {
        "id": "flow-hard-graph1073",
        "image": "data/flow/graph_visual/hard/graph1073.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 13 with capacity 4,\nan edge from node 0 to node 5 with capacity 20,\nan edge from node 0 to node 7 with capacity 19,\nan edge from node 0 to node 9 with capacity 1,\nan edge from node 0 to node 15 with capacity 3,\nan edge from node 0 to node 18 with capacity 2,\nan edge from node 1 to node 13 with capacity 9,\nan edge from node 1 to node 14 with capacity 20,\nan edge from node 1 to node 18 with capacity 1,\nan edge from node 1 to node 10 with capacity 9,\nan edge from node 1 to node 8 with capacity 7,\nan edge from node 2 to node 13 with capacity 18,\nan edge from node 2 to node 5 with capacity 3,\nan edge from node 2 to node 16 with capacity 4,\nan edge from node 2 to node 14 with capacity 4,\nan edge from node 2 to node 15 with capacity 2,\nan edge from node 2 to node 17 with capacity 14,\nan edge from node 2 to node 8 with capacity 20,\nan edge from node 3 to node 12 with capacity 5,\nan edge from node 3 to node 4 with capacity 5,\nan edge from node 3 to node 1 with capacity 4,\nan edge from node 3 to node 2 with capacity 4,\nan edge from node 3 to node 10 with capacity 8,\nan edge from node 3 to node 6 with capacity 15,\nan edge from node 4 to node 12 with capacity 10,\nan edge from node 4 to node 13 with capacity 16,\nan edge from node 4 to node 5 with capacity 3,\nan edge from node 4 to node 3 with capacity 9,\nan edge from node 4 to node 1 with capacity 20,\nan edge from node 4 to node 7 with capacity 8,\nan edge from node 5 to node 0 with capacity 1,\nan edge from node 5 to node 4 with capacity 20,\nan edge from node 5 to node 15 with capacity 6,\nan edge from node 5 to node 10 with capacity 10,\nan edge from node 6 to node 12 with capacity 17,\nan edge from node 6 to node 3 with capacity 5,\nan edge from node 6 to node 0 with capacity 4,\nan edge from node 6 to node 16 with capacity 8,\nan edge from node 6 to node 2 with capacity 20,\nan edge from node 6 to node 18 with capacity 6,\nan edge from node 6 to node 17 with capacity 16,\nan edge from node 7 to node 5 with capacity 2,\nan edge from node 7 to node 18 with capacity 19,\nan edge from node 7 to node 17 with capacity 12,\nan edge from node 8 to node 3 with capacity 5,\nan edge from node 8 to node 2 with capacity 15,\nan edge from node 8 to node 18 with capacity 18,\nan edge from node 8 to node 10 with capacity 14,\nan edge from node 9 to node 5 with capacity 18,\nan edge from node 9 to node 3 with capacity 8,\nan edge from node 9 to node 4 with capacity 11,\nan edge from node 9 to node 16 with capacity 2,\nan edge from node 9 to node 7 with capacity 16,\nan edge from node 9 to node 14 with capacity 9,\nan edge from node 9 to node 8 with capacity 15,\nan edge from node 10 to node 12 with capacity 14,\nan edge from node 10 to node 13 with capacity 15,\nan edge from node 10 to node 0 with capacity 15,\nan edge from node 10 to node 14 with capacity 20,\nan edge from node 10 to node 2 with capacity 6,\nan edge from node 10 to node 15 with capacity 17,\nan edge from node 10 to node 18 with capacity 20,\nan edge from node 10 to node 8 with capacity 20,\nan edge from node 11 to node 12 with capacity 8,\nan edge from node 11 to node 3 with capacity 12,\nan edge from node 11 to node 7 with capacity 12,\nan edge from node 11 to node 10 with capacity 2,\nan edge from node 11 to node 8 with capacity 20,\nan edge from node 12 to node 4 with capacity 17,\nan edge from node 12 to node 7 with capacity 13,\nan edge from node 12 to node 17 with capacity 4,\nan edge from node 12 to node 6 with capacity 12,\nan edge from node 13 to node 0 with capacity 19,\nan edge from node 13 to node 18 with capacity 6,\nan edge from node 13 to node 8 with capacity 11,\nan edge from node 14 to node 0 with capacity 14,\nan edge from node 14 to node 4 with capacity 5,\nan edge from node 14 to node 1 with capacity 2,\nan edge from node 14 to node 11 with capacity 17,\nan edge from node 14 to node 18 with capacity 17,\nan edge from node 15 to node 13 with capacity 9,\nan edge from node 15 to node 5 with capacity 4,\nan edge from node 15 to node 0 with capacity 16,\nan edge from node 15 to node 4 with capacity 2,\nan edge from node 15 to node 10 with capacity 3,\nan edge from node 16 to node 11 with capacity 14,\nan edge from node 16 to node 17 with capacity 19,\nan edge from node 16 to node 8 with capacity 6,\nan edge from node 17 to node 13 with capacity 20,\nan edge from node 17 to node 5 with capacity 20,\nan edge from node 17 to node 14 with capacity 15,\nan edge from node 17 to node 2 with capacity 6,\nan edge from node 18 to node 12 with capacity 17,\nan edge from node 18 to node 13 with capacity 14,\nan edge from node 18 to node 2 with capacity 5,\nan edge from node 18 to node 10 with capacity 15,\nWhat is the maximum flow from node 13 to node 11:"
            },
            {
                "from": "gpt",
                "value": "30."
            }
        ]
    },
    {
        "id": "flow-hard-graph1176",
        "image": "data/flow/graph_visual/hard/graph1176.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 16 with capacity 1,\nan edge from node 0 to node 11 with capacity 11,\nan edge from node 0 to node 12 with capacity 17,\nan edge from node 0 to node 8 with capacity 5,\nan edge from node 0 to node 14 with capacity 12,\nan edge from node 0 to node 13 with capacity 10,\nan edge from node 0 to node 18 with capacity 11,\nan edge from node 1 to node 16 with capacity 10,\nan edge from node 1 to node 14 with capacity 12,\nan edge from node 1 to node 13 with capacity 1,\nan edge from node 1 to node 2 with capacity 13,\nan edge from node 1 to node 18 with capacity 18,\nan edge from node 2 to node 19 with capacity 10,\nan edge from node 2 to node 12 with capacity 9,\nan edge from node 2 to node 10 with capacity 13,\nan edge from node 2 to node 3 with capacity 16,\nan edge from node 2 to node 14 with capacity 8,\nan edge from node 2 to node 15 with capacity 20,\nan edge from node 2 to node 17 with capacity 12,\nan edge from node 2 to node 18 with capacity 8,\nan edge from node 2 to node 6 with capacity 9,\nan edge from node 3 to node 15 with capacity 9,\nan edge from node 3 to node 17 with capacity 1,\nan edge from node 3 to node 7 with capacity 9,\nan edge from node 3 to node 0 with capacity 17,\nan edge from node 3 to node 9 with capacity 15,\nan edge from node 3 to node 6 with capacity 3,\nan edge from node 3 to node 5 with capacity 2,\nan edge from node 4 to node 16 with capacity 15,\nan edge from node 4 to node 10 with capacity 4,\nan edge from node 4 to node 15 with capacity 4,\nan edge from node 4 to node 17 with capacity 18,\nan edge from node 4 to node 9 with capacity 19,\nan edge from node 4 to node 18 with capacity 19,\nan edge from node 4 to node 6 with capacity 12,\nan edge from node 5 to node 19 with capacity 11,\nan edge from node 5 to node 11 with capacity 7,\nan edge from node 5 to node 8 with capacity 19,\nan edge from node 5 to node 3 with capacity 11,\nan edge from node 5 to node 2 with capacity 7,\nan edge from node 5 to node 17 with capacity 9,\nan edge from node 5 to node 9 with capacity 11,\nan edge from node 6 to node 11 with capacity 14,\nan edge from node 6 to node 10 with capacity 18,\nan edge from node 6 to node 8 with capacity 5,\nan edge from node 6 to node 1 with capacity 8,\nan edge from node 6 to node 13 with capacity 8,\nan edge from node 6 to node 17 with capacity 12,\nan edge from node 6 to node 7 with capacity 16,\nan edge from node 6 to node 4 with capacity 17,\nan edge from node 7 to node 19 with capacity 15,\nan edge from node 7 to node 2 with capacity 3,\nan edge from node 7 to node 17 with capacity 2,\nan edge from node 7 to node 18 with capacity 12,\nan edge from node 8 to node 19 with capacity 19,\nan edge from node 8 to node 12 with capacity 9,\nan edge from node 8 to node 0 with capacity 6,\nan edge from node 9 to node 10 with capacity 20,\nan edge from node 9 to node 14 with capacity 9,\nan edge from node 9 to node 7 with capacity 3,\nan edge from node 10 to node 16 with capacity 14,\nan edge from node 10 to node 14 with capacity 6,\nan edge from node 10 to node 0 with capacity 19,\nan edge from node 10 to node 18 with capacity 6,\nan edge from node 10 to node 5 with capacity 16,\nan edge from node 11 to node 3 with capacity 5,\nan edge from node 11 to node 14 with capacity 18,\nan edge from node 11 to node 15 with capacity 10,\nan edge from node 11 to node 2 with capacity 3,\nan edge from node 11 to node 0 with capacity 7,\nan edge from node 11 to node 18 with capacity 2,\nan edge from node 11 to node 6 with capacity 8,\nan edge from node 11 to node 5 with capacity 8,\nan edge from node 12 to node 14 with capacity 14,\nan edge from node 12 to node 5 with capacity 5,\nan edge from node 13 to node 19 with capacity 19,\nan edge from node 13 to node 12 with capacity 14,\nan edge from node 13 to node 15 with capacity 20,\nan edge from node 13 to node 2 with capacity 16,\nan edge from node 13 to node 7 with capacity 18,\nan edge from node 13 to node 5 with capacity 19,\nan edge from node 14 to node 19 with capacity 18,\nan edge from node 14 to node 12 with capacity 6,\nan edge from node 14 to node 13 with capacity 10,\nan edge from node 14 to node 4 with capacity 1,\nan edge from node 14 to node 18 with capacity 2,\nan edge from node 14 to node 5 with capacity 17,\nan edge from node 15 to node 10 with capacity 20,\nan edge from node 15 to node 3 with capacity 1,\nan edge from node 15 to node 17 with capacity 7,\nan edge from node 15 to node 7 with capacity 2,\nan edge from node 15 to node 9 with capacity 2,\nan edge from node 15 to node 5 with capacity 6,\nan edge from node 16 to node 14 with capacity 2,\nan edge from node 16 to node 15 with capacity 8,\nan edge from node 16 to node 2 with capacity 4,\nan edge from node 16 to node 7 with capacity 12,\nan edge from node 16 to node 4 with capacity 17,\nan edge from node 17 to node 14 with capacity 7,\nan edge from node 17 to node 13 with capacity 8,\nan edge from node 17 to node 9 with capacity 18,\nan edge from node 18 to node 16 with capacity 8,\nan edge from node 18 to node 11 with capacity 7,\nan edge from node 18 to node 10 with capacity 11,\nan edge from node 18 to node 1 with capacity 14,\nan edge from node 18 to node 15 with capacity 8,\nan edge from node 18 to node 17 with capacity 3,\nan edge from node 18 to node 7 with capacity 2,\nan edge from node 18 to node 4 with capacity 3,\nan edge from node 19 to node 3 with capacity 16,\nan edge from node 19 to node 15 with capacity 8,\nWhat is the maximum flow from node 14 to node 12:"
            },
            {
                "from": "gpt",
                "value": "54."
            }
        ]
    },
    {
        "id": "flow-hard-graph1170",
        "image": "data/flow/graph_visual/hard/graph1170.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 7 with capacity 7,\nan edge from node 0 to node 15 with capacity 7,\nan edge from node 1 to node 8 with capacity 8,\nan edge from node 1 to node 16 with capacity 9,\nan edge from node 1 to node 17 with capacity 5,\nan edge from node 1 to node 9 with capacity 7,\nan edge from node 2 to node 10 with capacity 8,\nan edge from node 2 to node 8 with capacity 12,\nan edge from node 2 to node 18 with capacity 8,\nan edge from node 2 to node 4 with capacity 10,\nan edge from node 2 to node 13 with capacity 4,\nan edge from node 2 to node 0 with capacity 1,\nan edge from node 2 to node 9 with capacity 8,\nan edge from node 2 to node 3 with capacity 16,\nan edge from node 3 to node 18 with capacity 18,\nan edge from node 3 to node 17 with capacity 9,\nan edge from node 3 to node 0 with capacity 15,\nan edge from node 4 to node 18 with capacity 5,\nan edge from node 4 to node 14 with capacity 8,\nan edge from node 4 to node 12 with capacity 7,\nan edge from node 4 to node 0 with capacity 20,\nan edge from node 4 to node 3 with capacity 11,\nan edge from node 4 to node 5 with capacity 7,\nan edge from node 5 to node 16 with capacity 3,\nan edge from node 5 to node 19 with capacity 16,\nan edge from node 5 to node 9 with capacity 18,\nan edge from node 6 to node 11 with capacity 2,\nan edge from node 6 to node 19 with capacity 19,\nan edge from node 6 to node 18 with capacity 17,\nan edge from node 6 to node 1 with capacity 7,\nan edge from node 6 to node 17 with capacity 12,\nan edge from node 6 to node 15 with capacity 15,\nan edge from node 6 to node 5 with capacity 10,\nan edge from node 7 to node 10 with capacity 20,\nan edge from node 7 to node 18 with capacity 9,\nan edge from node 7 to node 14 with capacity 14,\nan edge from node 7 to node 17 with capacity 12,\nan edge from node 7 to node 15 with capacity 15,\nan edge from node 8 to node 13 with capacity 1,\nan edge from node 8 to node 14 with capacity 18,\nan edge from node 8 to node 17 with capacity 17,\nan edge from node 9 to node 8 with capacity 2,\nan edge from node 9 to node 7 with capacity 16,\nan edge from node 9 to node 11 with capacity 1,\nan edge from node 9 to node 19 with capacity 18,\nan edge from node 9 to node 0 with capacity 14,\nan edge from node 9 to node 3 with capacity 5,\nan edge from node 10 to node 19 with capacity 10,\nan edge from node 10 to node 6 with capacity 8,\nan edge from node 10 to node 15 with capacity 10,\nan edge from node 11 to node 10 with capacity 5,\nan edge from node 11 to node 1 with capacity 15,\nan edge from node 11 to node 17 with capacity 5,\nan edge from node 11 to node 9 with capacity 5,\nan edge from node 12 to node 2 with capacity 8,\nan edge from node 12 to node 10 with capacity 19,\nan edge from node 12 to node 16 with capacity 15,\nan edge from node 12 to node 0 with capacity 18,\nan edge from node 12 to node 3 with capacity 16,\nan edge from node 13 to node 10 with capacity 19,\nan edge from node 13 to node 15 with capacity 12,\nan edge from node 14 to node 0 with capacity 1,\nan edge from node 14 to node 9 with capacity 12,\nan edge from node 15 to node 8 with capacity 16,\nan edge from node 15 to node 11 with capacity 2,\nan edge from node 15 to node 1 with capacity 5,\nan edge from node 15 to node 6 with capacity 13,\nan edge from node 15 to node 17 with capacity 13,\nan edge from node 16 to node 8 with capacity 15,\nan edge from node 16 to node 12 with capacity 15,\nan edge from node 16 to node 0 with capacity 8,\nan edge from node 16 to node 3 with capacity 14,\nan edge from node 17 to node 12 with capacity 19,\nan edge from node 17 to node 9 with capacity 9,\nan edge from node 18 to node 2 with capacity 17,\nan edge from node 18 to node 19 with capacity 1,\nan edge from node 18 to node 14 with capacity 12,\nan edge from node 19 to node 1 with capacity 10,\nan edge from node 19 to node 6 with capacity 10,\nWhat is the maximum flow from node 14 to node 17:"
            },
            {
                "from": "gpt",
                "value": "13."
            }
        ]
    },
    {
        "id": "flow-hard-graph606",
        "image": "data/flow/graph_visual/hard/graph606.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 3 with capacity 15,\nan edge from node 0 to node 4 with capacity 8,\nan edge from node 0 to node 8 with capacity 4,\nan edge from node 0 to node 11 with capacity 17,\nan edge from node 0 to node 12 with capacity 1,\nan edge from node 1 to node 3 with capacity 16,\nan edge from node 1 to node 14 with capacity 14,\nan edge from node 1 to node 11 with capacity 5,\nan edge from node 2 to node 14 with capacity 14,\nan edge from node 2 to node 12 with capacity 8,\nan edge from node 2 to node 7 with capacity 1,\nan edge from node 3 to node 6 with capacity 16,\nan edge from node 3 to node 1 with capacity 20,\nan edge from node 3 to node 0 with capacity 9,\nan edge from node 3 to node 13 with capacity 15,\nan edge from node 4 to node 1 with capacity 9,\nan edge from node 4 to node 9 with capacity 13,\nan edge from node 4 to node 15 with capacity 2,\nan edge from node 4 to node 14 with capacity 20,\nan edge from node 4 to node 11 with capacity 5,\nan edge from node 4 to node 2 with capacity 17,\nan edge from node 5 to node 6 with capacity 20,\nan edge from node 5 to node 1 with capacity 20,\nan edge from node 5 to node 15 with capacity 19,\nan edge from node 5 to node 3 with capacity 16,\nan edge from node 5 to node 10 with capacity 17,\nan edge from node 6 to node 15 with capacity 11,\nan edge from node 6 to node 3 with capacity 9,\nan edge from node 6 to node 13 with capacity 1,\nan edge from node 7 to node 4 with capacity 11,\nan edge from node 7 to node 14 with capacity 12,\nan edge from node 7 to node 11 with capacity 3,\nan edge from node 7 to node 12 with capacity 18,\nan edge from node 7 to node 0 with capacity 5,\nan edge from node 7 to node 13 with capacity 3,\nan edge from node 8 to node 15 with capacity 10,\nan edge from node 8 to node 14 with capacity 2,\nan edge from node 9 to node 3 with capacity 2,\nan edge from node 9 to node 14 with capacity 17,\nan edge from node 9 to node 12 with capacity 15,\nan edge from node 9 to node 2 with capacity 5,\nan edge from node 10 to node 6 with capacity 2,\nan edge from node 10 to node 9 with capacity 9,\nan edge from node 10 to node 14 with capacity 4,\nan edge from node 10 to node 11 with capacity 18,\nan edge from node 10 to node 12 with capacity 11,\nan edge from node 10 to node 7 with capacity 3,\nan edge from node 11 to node 9 with capacity 15,\nan edge from node 11 to node 12 with capacity 3,\nan edge from node 12 to node 6 with capacity 6,\nan edge from node 12 to node 0 with capacity 14,\nan edge from node 12 to node 10 with capacity 11,\nan edge from node 13 to node 1 with capacity 11,\nan edge from node 13 to node 9 with capacity 20,\nan edge from node 13 to node 8 with capacity 19,\nan edge from node 13 to node 0 with capacity 14,\nan edge from node 13 to node 2 with capacity 15,\nan edge from node 14 to node 6 with capacity 20,\nan edge from node 14 to node 1 with capacity 4,\nan edge from node 14 to node 12 with capacity 1,\nan edge from node 15 to node 9 with capacity 17,\nan edge from node 15 to node 11 with capacity 1,\nan edge from node 15 to node 12 with capacity 9,\nWhat is the maximum flow from node 14 to node 12:"
            },
            {
                "from": "gpt",
                "value": "25."
            }
        ]
    },
    {
        "id": "flow-hard-graph682",
        "image": "data/flow/graph_visual/hard/graph682.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 7 with capacity 6,\nan edge from node 0 to node 13 with capacity 14,\nan edge from node 0 to node 10 with capacity 7,\nan edge from node 0 to node 3 with capacity 13,\nan edge from node 0 to node 8 with capacity 17,\nan edge from node 0 to node 2 with capacity 2,\nan edge from node 1 to node 14 with capacity 2,\nan edge from node 1 to node 10 with capacity 15,\nan edge from node 1 to node 9 with capacity 1,\nan edge from node 1 to node 8 with capacity 9,\nan edge from node 2 to node 1 with capacity 12,\nan edge from node 2 to node 7 with capacity 6,\nan edge from node 2 to node 12 with capacity 16,\nan edge from node 2 to node 13 with capacity 6,\nan edge from node 2 to node 5 with capacity 4,\nan edge from node 2 to node 8 with capacity 7,\nan edge from node 2 to node 6 with capacity 20,\nan edge from node 3 to node 1 with capacity 4,\nan edge from node 3 to node 11 with capacity 3,\nan edge from node 3 to node 4 with capacity 5,\nan edge from node 3 to node 0 with capacity 11,\nan edge from node 3 to node 9 with capacity 2,\nan edge from node 3 to node 2 with capacity 20,\nan edge from node 4 to node 11 with capacity 4,\nan edge from node 4 to node 12 with capacity 4,\nan edge from node 4 to node 15 with capacity 20,\nan edge from node 4 to node 10 with capacity 10,\nan edge from node 4 to node 6 with capacity 12,\nan edge from node 5 to node 15 with capacity 13,\nan edge from node 5 to node 14 with capacity 6,\nan edge from node 5 to node 3 with capacity 12,\nan edge from node 6 to node 14 with capacity 11,\nan edge from node 6 to node 3 with capacity 9,\nan edge from node 6 to node 8 with capacity 13,\nan edge from node 7 to node 11 with capacity 18,\nan edge from node 7 to node 12 with capacity 16,\nan edge from node 7 to node 4 with capacity 17,\nan edge from node 7 to node 3 with capacity 19,\nan edge from node 7 to node 6 with capacity 5,\nan edge from node 8 to node 12 with capacity 2,\nan edge from node 8 to node 14 with capacity 11,\nan edge from node 8 to node 13 with capacity 16,\nan edge from node 8 to node 5 with capacity 18,\nan edge from node 8 to node 4 with capacity 7,\nan edge from node 8 to node 6 with capacity 5,\nan edge from node 10 to node 11 with capacity 4,\nan edge from node 10 to node 12 with capacity 5,\nan edge from node 10 to node 14 with capacity 1,\nan edge from node 10 to node 8 with capacity 7,\nan edge from node 11 to node 7 with capacity 13,\nan edge from node 11 to node 15 with capacity 1,\nan edge from node 11 to node 9 with capacity 6,\nan edge from node 12 to node 3 with capacity 7,\nan edge from node 12 to node 6 with capacity 7,\nan edge from node 13 to node 1 with capacity 10,\nan edge from node 13 to node 11 with capacity 5,\nan edge from node 13 to node 10 with capacity 20,\nan edge from node 13 to node 0 with capacity 10,\nan edge from node 14 to node 10 with capacity 15,\nan edge from node 15 to node 12 with capacity 14,\nan edge from node 15 to node 13 with capacity 1,\nan edge from node 15 to node 4 with capacity 15,\nan edge from node 15 to node 3 with capacity 13,\nan edge from node 15 to node 9 with capacity 6,\nan edge from node 15 to node 8 with capacity 15,\nWhat is the maximum flow from node 15 to node 2:"
            },
            {
                "from": "gpt",
                "value": "22."
            }
        ]
    },
    {
        "id": "flow-hard-graph190",
        "image": "data/flow/graph_visual/hard/graph190.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 8 with capacity 3,\nan edge from node 0 to node 9 with capacity 12,\nan edge from node 0 to node 5 with capacity 19,\nan edge from node 0 to node 7 with capacity 12,\nan edge from node 0 to node 6 with capacity 14,\nan edge from node 0 to node 11 with capacity 6,\nan edge from node 2 to node 6 with capacity 18,\nan edge from node 2 to node 3 with capacity 6,\nan edge from node 3 to node 6 with capacity 1,\nan edge from node 3 to node 1 with capacity 7,\nan edge from node 3 to node 2 with capacity 6,\nan edge from node 4 to node 7 with capacity 20,\nan edge from node 4 to node 2 with capacity 17,\nan edge from node 5 to node 11 with capacity 8,\nan edge from node 6 to node 8 with capacity 14,\nan edge from node 7 to node 9 with capacity 17,\nan edge from node 7 to node 10 with capacity 12,\nan edge from node 7 to node 4 with capacity 17,\nan edge from node 7 to node 11 with capacity 11,\nan edge from node 8 to node 7 with capacity 2,\nan edge from node 8 to node 6 with capacity 10,\nan edge from node 8 to node 2 with capacity 7,\nan edge from node 9 to node 4 with capacity 7,\nan edge from node 9 to node 3 with capacity 19,\nan edge from node 9 to node 0 with capacity 12,\nan edge from node 10 to node 4 with capacity 13,\nan edge from node 10 to node 3 with capacity 16,\nan edge from node 10 to node 0 with capacity 15,\nan edge from node 11 to node 5 with capacity 7,\nWhat is the maximum flow from node 10 to node 4:"
            },
            {
                "from": "gpt",
                "value": "30."
            }
        ]
    },
    {
        "id": "flow-hard-graph359",
        "image": "data/flow/graph_visual/hard/graph359.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 1 with capacity 8,\nan edge from node 0 to node 7 with capacity 6,\nan edge from node 1 to node 8 with capacity 10,\nan edge from node 1 to node 5 with capacity 20,\nan edge from node 1 to node 7 with capacity 6,\nan edge from node 1 to node 4 with capacity 2,\nan edge from node 1 to node 2 with capacity 4,\nan edge from node 2 to node 5 with capacity 11,\nan edge from node 2 to node 12 with capacity 13,\nan edge from node 2 to node 10 with capacity 8,\nan edge from node 2 to node 6 with capacity 11,\nan edge from node 2 to node 9 with capacity 12,\nan edge from node 3 to node 7 with capacity 15,\nan edge from node 3 to node 4 with capacity 14,\nan edge from node 3 to node 9 with capacity 15,\nan edge from node 4 to node 1 with capacity 16,\nan edge from node 5 to node 10 with capacity 9,\nan edge from node 6 to node 0 with capacity 11,\nan edge from node 6 to node 12 with capacity 3,\nan edge from node 6 to node 9 with capacity 16,\nan edge from node 7 to node 5 with capacity 10,\nan edge from node 7 to node 6 with capacity 4,\nan edge from node 8 to node 4 with capacity 8,\nan edge from node 8 to node 10 with capacity 19,\nan edge from node 9 to node 3 with capacity 14,\nan edge from node 9 to node 8 with capacity 8,\nan edge from node 9 to node 0 with capacity 1,\nan edge from node 9 to node 4 with capacity 9,\nan edge from node 10 to node 0 with capacity 12,\nan edge from node 10 to node 11 with capacity 2,\nan edge from node 11 to node 12 with capacity 3,\nan edge from node 11 to node 2 with capacity 10,\nan edge from node 12 to node 1 with capacity 18,\nan edge from node 12 to node 7 with capacity 12,\nan edge from node 12 to node 4 with capacity 12,\nan edge from node 12 to node 11 with capacity 2,\nan edge from node 12 to node 10 with capacity 1,\nWhat is the maximum flow from node 4 to node 2:"
            },
            {
                "from": "gpt",
                "value": "8."
            }
        ]
    },
    {
        "id": "flow-hard-graph903",
        "image": "data/flow/graph_visual/hard/graph903.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 1 with capacity 16,\nan edge from node 0 to node 9 with capacity 6,\nan edge from node 1 to node 2 with capacity 18,\nan edge from node 1 to node 10 with capacity 3,\nan edge from node 1 to node 9 with capacity 7,\nan edge from node 1 to node 15 with capacity 19,\nan edge from node 2 to node 5 with capacity 8,\nan edge from node 2 to node 4 with capacity 15,\nan edge from node 2 to node 7 with capacity 16,\nan edge from node 2 to node 8 with capacity 3,\nan edge from node 3 to node 5 with capacity 6,\nan edge from node 3 to node 0 with capacity 11,\nan edge from node 3 to node 1 with capacity 16,\nan edge from node 3 to node 14 with capacity 9,\nan edge from node 3 to node 16 with capacity 18,\nan edge from node 3 to node 9 with capacity 9,\nan edge from node 3 to node 15 with capacity 18,\nan edge from node 3 to node 6 with capacity 16,\nan edge from node 4 to node 14 with capacity 17,\nan edge from node 5 to node 17 with capacity 19,\nan edge from node 5 to node 2 with capacity 10,\nan edge from node 5 to node 16 with capacity 17,\nan edge from node 5 to node 12 with capacity 20,\nan edge from node 5 to node 15 with capacity 8,\nan edge from node 5 to node 6 with capacity 5,\nan edge from node 6 to node 3 with capacity 16,\nan edge from node 6 to node 11 with capacity 12,\nan edge from node 6 to node 2 with capacity 14,\nan edge from node 6 to node 13 with capacity 5,\nan edge from node 6 to node 12 with capacity 15,\nan edge from node 7 to node 3 with capacity 10,\nan edge from node 7 to node 2 with capacity 7,\nan edge from node 7 to node 8 with capacity 17,\nan edge from node 7 to node 12 with capacity 8,\nan edge from node 8 to node 11 with capacity 7,\nan edge from node 8 to node 4 with capacity 1,\nan edge from node 8 to node 16 with capacity 14,\nan edge from node 8 to node 13 with capacity 7,\nan edge from node 8 to node 15 with capacity 4,\nan edge from node 9 to node 14 with capacity 16,\nan edge from node 9 to node 12 with capacity 13,\nan edge from node 10 to node 11 with capacity 12,\nan edge from node 10 to node 1 with capacity 8,\nan edge from node 10 to node 16 with capacity 2,\nan edge from node 11 to node 5 with capacity 1,\nan edge from node 11 to node 3 with capacity 2,\nan edge from node 11 to node 7 with capacity 11,\nan edge from node 11 to node 8 with capacity 6,\nan edge from node 11 to node 13 with capacity 5,\nan edge from node 11 to node 12 with capacity 8,\nan edge from node 12 to node 1 with capacity 18,\nan edge from node 12 to node 2 with capacity 17,\nan edge from node 12 to node 14 with capacity 17,\nan edge from node 12 to node 7 with capacity 18,\nan edge from node 12 to node 8 with capacity 10,\nan edge from node 13 to node 17 with capacity 1,\nan edge from node 13 to node 1 with capacity 4,\nan edge from node 13 to node 4 with capacity 16,\nan edge from node 13 to node 8 with capacity 13,\nan edge from node 13 to node 15 with capacity 18,\nan edge from node 14 to node 1 with capacity 5,\nan edge from node 14 to node 7 with capacity 8,\nan edge from node 14 to node 8 with capacity 2,\nan edge from node 14 to node 16 with capacity 19,\nan edge from node 14 to node 12 with capacity 16,\nan edge from node 15 to node 17 with capacity 12,\nan edge from node 15 to node 0 with capacity 7,\nan edge from node 15 to node 4 with capacity 1,\nan edge from node 15 to node 2 with capacity 15,\nan edge from node 15 to node 8 with capacity 19,\nan edge from node 15 to node 9 with capacity 8,\nan edge from node 15 to node 6 with capacity 13,\nan edge from node 16 to node 5 with capacity 9,\nan edge from node 16 to node 0 with capacity 18,\nan edge from node 16 to node 14 with capacity 5,\nan edge from node 16 to node 13 with capacity 2,\nan edge from node 16 to node 12 with capacity 4,\nan edge from node 16 to node 9 with capacity 8,\nan edge from node 16 to node 15 with capacity 8,\nan edge from node 17 to node 5 with capacity 8,\nan edge from node 17 to node 11 with capacity 12,\nan edge from node 17 to node 0 with capacity 10,\nan edge from node 17 to node 7 with capacity 11,\nan edge from node 17 to node 12 with capacity 8,\nan edge from node 17 to node 15 with capacity 16,\nWhat is the maximum flow from node 4 to node 16:"
            },
            {
                "from": "gpt",
                "value": "17."
            }
        ]
    },
    {
        "id": "flow-hard-graph142",
        "image": "data/flow/graph_visual/hard/graph142.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 11 with capacity 19,\nan edge from node 1 to node 4 with capacity 8,\nan edge from node 1 to node 9 with capacity 1,\nan edge from node 1 to node 6 with capacity 8,\nan edge from node 1 to node 10 with capacity 7,\nan edge from node 2 to node 8 with capacity 18,\nan edge from node 2 to node 7 with capacity 1,\nan edge from node 2 to node 6 with capacity 2,\nan edge from node 2 to node 10 with capacity 2,\nan edge from node 3 to node 8 with capacity 11,\nan edge from node 3 to node 2 with capacity 16,\nan edge from node 3 to node 4 with capacity 14,\nan edge from node 3 to node 9 with capacity 19,\nan edge from node 3 to node 5 with capacity 13,\nan edge from node 3 to node 10 with capacity 11,\nan edge from node 4 to node 1 with capacity 4,\nan edge from node 4 to node 2 with capacity 10,\nan edge from node 4 to node 9 with capacity 11,\nan edge from node 5 to node 0 with capacity 13,\nan edge from node 5 to node 1 with capacity 5,\nan edge from node 5 to node 7 with capacity 3,\nan edge from node 6 to node 1 with capacity 12,\nan edge from node 6 to node 2 with capacity 11,\nan edge from node 6 to node 7 with capacity 9,\nan edge from node 6 to node 5 with capacity 18,\nan edge from node 7 to node 1 with capacity 10,\nan edge from node 7 to node 2 with capacity 11,\nan edge from node 7 to node 9 with capacity 9,\nan edge from node 7 to node 5 with capacity 1,\nan edge from node 7 to node 6 with capacity 12,\nan edge from node 8 to node 0 with capacity 1,\nan edge from node 8 to node 9 with capacity 13,\nan edge from node 8 to node 11 with capacity 3,\nan edge from node 8 to node 5 with capacity 9,\nan edge from node 8 to node 10 with capacity 7,\nan edge from node 9 to node 0 with capacity 20,\nan edge from node 9 to node 2 with capacity 19,\nan edge from node 9 to node 7 with capacity 9,\nan edge from node 10 to node 1 with capacity 15,\nan edge from node 10 to node 3 with capacity 18,\nan edge from node 10 to node 11 with capacity 3,\nan edge from node 11 to node 0 with capacity 15,\nan edge from node 11 to node 8 with capacity 13,\nan edge from node 11 to node 4 with capacity 17,\nan edge from node 11 to node 9 with capacity 5,\nan edge from node 11 to node 5 with capacity 18,\nan edge from node 11 to node 10 with capacity 16,\nWhat is the maximum flow from node 6 to node 4:"
            },
            {
                "from": "gpt",
                "value": "39."
            }
        ]
    },
    {
        "id": "flow-hard-graph254",
        "image": "data/flow/graph_visual/hard/graph254.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 1 with capacity 1,\nan edge from node 0 to node 4 with capacity 6,\nan edge from node 0 to node 6 with capacity 20,\nan edge from node 1 to node 10 with capacity 15,\nan edge from node 2 to node 1 with capacity 5,\nan edge from node 2 to node 4 with capacity 10,\nan edge from node 4 to node 9 with capacity 1,\nan edge from node 4 to node 1 with capacity 17,\nan edge from node 4 to node 10 with capacity 17,\nan edge from node 4 to node 11 with capacity 18,\nan edge from node 4 to node 3 with capacity 17,\nan edge from node 5 to node 9 with capacity 19,\nan edge from node 5 to node 3 with capacity 20,\nan edge from node 7 to node 8 with capacity 17,\nan edge from node 7 to node 1 with capacity 14,\nan edge from node 7 to node 10 with capacity 15,\nan edge from node 8 to node 2 with capacity 2,\nan edge from node 8 to node 4 with capacity 17,\nan edge from node 9 to node 2 with capacity 16,\nan edge from node 9 to node 4 with capacity 11,\nan edge from node 9 to node 6 with capacity 10,\nan edge from node 10 to node 9 with capacity 8,\nan edge from node 10 to node 7 with capacity 9,\nan edge from node 11 to node 8 with capacity 17,\nan edge from node 11 to node 1 with capacity 16,\nan edge from node 11 to node 2 with capacity 5,\nan edge from node 11 to node 4 with capacity 11,\nan edge from node 12 to node 10 with capacity 16,\nWhat is the maximum flow from node 5 to node 1:"
            },
            {
                "from": "gpt",
                "value": "19."
            }
        ]
    },
    {
        "id": "flow-hard-graph92",
        "image": "data/flow/graph_visual/hard/graph92.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 2 to node 6 with capacity 13,\nan edge from node 2 to node 7 with capacity 20,\nan edge from node 2 to node 5 with capacity 3,\nan edge from node 2 to node 0 with capacity 17,\nan edge from node 2 to node 4 with capacity 11,\nan edge from node 2 to node 10 with capacity 15,\nan edge from node 3 to node 8 with capacity 3,\nan edge from node 3 to node 4 with capacity 20,\nan edge from node 4 to node 3 with capacity 11,\nan edge from node 4 to node 5 with capacity 15,\nan edge from node 5 to node 3 with capacity 20,\nan edge from node 5 to node 4 with capacity 11,\nan edge from node 6 to node 3 with capacity 6,\nan edge from node 6 to node 1 with capacity 19,\nan edge from node 6 to node 4 with capacity 5,\nan edge from node 6 to node 10 with capacity 19,\nan edge from node 6 to node 9 with capacity 10,\nan edge from node 7 to node 6 with capacity 13,\nan edge from node 7 to node 0 with capacity 9,\nan edge from node 7 to node 4 with capacity 2,\nan edge from node 7 to node 10 with capacity 10,\nan edge from node 8 to node 0 with capacity 18,\nan edge from node 8 to node 2 with capacity 9,\nan edge from node 8 to node 1 with capacity 13,\nan edge from node 8 to node 10 with capacity 7,\nan edge from node 9 to node 3 with capacity 16,\nan edge from node 9 to node 7 with capacity 5,\nan edge from node 9 to node 1 with capacity 1,\nan edge from node 10 to node 8 with capacity 1,\nan edge from node 10 to node 1 with capacity 7,\nWhat is the maximum flow from node 10 to node 5:"
            },
            {
                "from": "gpt",
                "value": "1."
            }
        ]
    },
    {
        "id": "flow-hard-graph398",
        "image": "data/flow/graph_visual/hard/graph398.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 6 with capacity 9,\nan edge from node 0 to node 3 with capacity 1,\nan edge from node 0 to node 2 with capacity 7,\nan edge from node 1 to node 5 with capacity 9,\nan edge from node 1 to node 13 with capacity 2,\nan edge from node 1 to node 10 with capacity 4,\nan edge from node 2 to node 11 with capacity 19,\nan edge from node 2 to node 4 with capacity 17,\nan edge from node 2 to node 7 with capacity 3,\nan edge from node 3 to node 8 with capacity 9,\nan edge from node 3 to node 9 with capacity 12,\nan edge from node 4 to node 5 with capacity 20,\nan edge from node 4 to node 12 with capacity 2,\nan edge from node 5 to node 6 with capacity 16,\nan edge from node 5 to node 13 with capacity 11,\nan edge from node 5 to node 9 with capacity 16,\nan edge from node 5 to node 10 with capacity 14,\nan edge from node 5 to node 2 with capacity 9,\nan edge from node 6 to node 8 with capacity 10,\nan edge from node 6 to node 5 with capacity 14,\nan edge from node 6 to node 9 with capacity 8,\nan edge from node 8 to node 11 with capacity 19,\nan edge from node 8 to node 9 with capacity 9,\nan edge from node 8 to node 12 with capacity 5,\nan edge from node 8 to node 7 with capacity 12,\nan edge from node 9 to node 11 with capacity 4,\nan edge from node 9 to node 12 with capacity 4,\nan edge from node 9 to node 3 with capacity 1,\nan edge from node 10 to node 0 with capacity 11,\nan edge from node 10 to node 9 with capacity 12,\nan edge from node 10 to node 4 with capacity 19,\nan edge from node 11 to node 6 with capacity 3,\nan edge from node 12 to node 8 with capacity 3,\nan edge from node 12 to node 13 with capacity 8,\nan edge from node 12 to node 9 with capacity 16,\nan edge from node 12 to node 3 with capacity 1,\nan edge from node 12 to node 1 with capacity 15,\nan edge from node 12 to node 7 with capacity 12,\nan edge from node 13 to node 0 with capacity 7,\nan edge from node 13 to node 10 with capacity 10,\nan edge from node 13 to node 1 with capacity 17,\nWhat is the maximum flow from node 10 to node 7:"
            },
            {
                "from": "gpt",
                "value": "21."
            }
        ]
    },
    {
        "id": "flow-hard-graph846",
        "image": "data/flow/graph_visual/hard/graph846.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 10 with capacity 1,\nan edge from node 0 to node 12 with capacity 7,\nan edge from node 2 to node 13 with capacity 10,\nan edge from node 2 to node 9 with capacity 4,\nan edge from node 2 to node 7 with capacity 2,\nan edge from node 3 to node 2 with capacity 10,\nan edge from node 3 to node 6 with capacity 19,\nan edge from node 3 to node 15 with capacity 1,\nan edge from node 3 to node 14 with capacity 6,\nan edge from node 4 to node 13 with capacity 19,\nan edge from node 4 to node 16 with capacity 1,\nan edge from node 4 to node 9 with capacity 8,\nan edge from node 4 to node 6 with capacity 7,\nan edge from node 4 to node 12 with capacity 16,\nan edge from node 5 to node 0 with capacity 8,\nan edge from node 5 to node 6 with capacity 11,\nan edge from node 5 to node 4 with capacity 1,\nan edge from node 6 to node 5 with capacity 3,\nan edge from node 7 to node 17 with capacity 8,\nan edge from node 7 to node 13 with capacity 11,\nan edge from node 7 to node 0 with capacity 11,\nan edge from node 7 to node 9 with capacity 1,\nan edge from node 7 to node 14 with capacity 3,\nan edge from node 7 to node 1 with capacity 19,\nan edge from node 8 to node 3 with capacity 16,\nan edge from node 8 to node 6 with capacity 10,\nan edge from node 8 to node 10 with capacity 16,\nan edge from node 8 to node 12 with capacity 3,\nan edge from node 8 to node 14 with capacity 2,\nan edge from node 9 to node 0 with capacity 19,\nan edge from node 9 to node 8 with capacity 11,\nan edge from node 9 to node 4 with capacity 3,\nan edge from node 9 to node 1 with capacity 13,\nan edge from node 10 to node 2 with capacity 7,\nan edge from node 10 to node 9 with capacity 17,\nan edge from node 10 to node 4 with capacity 9,\nan edge from node 11 to node 2 with capacity 19,\nan edge from node 11 to node 5 with capacity 16,\nan edge from node 11 to node 16 with capacity 2,\nan edge from node 11 to node 9 with capacity 4,\nan edge from node 12 to node 6 with capacity 7,\nan edge from node 12 to node 15 with capacity 18,\nan edge from node 13 to node 5 with capacity 3,\nan edge from node 13 to node 17 with capacity 4,\nan edge from node 13 to node 16 with capacity 4,\nan edge from node 13 to node 8 with capacity 19,\nan edge from node 13 to node 4 with capacity 9,\nan edge from node 14 to node 5 with capacity 10,\nan edge from node 14 to node 16 with capacity 13,\nan edge from node 14 to node 11 with capacity 15,\nan edge from node 15 to node 5 with capacity 14,\nan edge from node 15 to node 0 with capacity 9,\nan edge from node 15 to node 9 with capacity 19,\nan edge from node 15 to node 8 with capacity 20,\nan edge from node 15 to node 7 with capacity 2,\nan edge from node 15 to node 4 with capacity 19,\nan edge from node 16 to node 3 with capacity 11,\nan edge from node 16 to node 8 with capacity 4,\nan edge from node 16 to node 14 with capacity 13,\nan edge from node 17 to node 8 with capacity 2,\nWhat is the maximum flow from node 5 to node 4:"
            },
            {
                "from": "gpt",
                "value": "9."
            }
        ]
    },
    {
        "id": "flow-hard-graph116",
        "image": "data/flow/graph_visual/hard/graph116.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 2 with capacity 7,\nan edge from node 0 to node 8 with capacity 5,\nan edge from node 0 to node 3 with capacity 1,\nan edge from node 0 to node 9 with capacity 16,\nan edge from node 1 to node 5 with capacity 17,\nan edge from node 1 to node 7 with capacity 18,\nan edge from node 2 to node 8 with capacity 5,\nan edge from node 2 to node 5 with capacity 20,\nan edge from node 2 to node 6 with capacity 16,\nan edge from node 3 to node 9 with capacity 6,\nan edge from node 3 to node 6 with capacity 7,\nan edge from node 5 to node 0 with capacity 12,\nan edge from node 5 to node 6 with capacity 15,\nan edge from node 7 to node 10 with capacity 10,\nan edge from node 7 to node 0 with capacity 1,\nan edge from node 8 to node 5 with capacity 4,\nan edge from node 9 to node 2 with capacity 4,\nan edge from node 9 to node 7 with capacity 12,\nan edge from node 9 to node 6 with capacity 15,\nan edge from node 10 to node 8 with capacity 19,\nWhat is the maximum flow from node 0 to node 2:"
            },
            {
                "from": "gpt",
                "value": "11."
            }
        ]
    },
    {
        "id": "flow-hard-graph543",
        "image": "data/flow/graph_visual/hard/graph543.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 1 with capacity 9,\nan edge from node 0 to node 4 with capacity 17,\nan edge from node 0 to node 13 with capacity 16,\nan edge from node 1 to node 7 with capacity 10,\nan edge from node 2 to node 5 with capacity 12,\nan edge from node 2 to node 10 with capacity 15,\nan edge from node 2 to node 14 with capacity 2,\nan edge from node 2 to node 4 with capacity 19,\nan edge from node 2 to node 0 with capacity 20,\nan edge from node 2 to node 3 with capacity 5,\nan edge from node 3 to node 1 with capacity 1,\nan edge from node 3 to node 2 with capacity 11,\nan edge from node 4 to node 10 with capacity 10,\nan edge from node 5 to node 9 with capacity 9,\nan edge from node 5 to node 11 with capacity 20,\nan edge from node 5 to node 0 with capacity 18,\nan edge from node 6 to node 2 with capacity 16,\nan edge from node 7 to node 1 with capacity 12,\nan edge from node 7 to node 8 with capacity 20,\nan edge from node 7 to node 13 with capacity 17,\nan edge from node 8 to node 7 with capacity 8,\nan edge from node 8 to node 9 with capacity 7,\nan edge from node 8 to node 6 with capacity 8,\nan edge from node 8 to node 4 with capacity 12,\nan edge from node 9 to node 11 with capacity 4,\nan edge from node 9 to node 14 with capacity 6,\nan edge from node 10 to node 4 with capacity 7,\nan edge from node 10 to node 2 with capacity 17,\nan edge from node 11 to node 1 with capacity 10,\nan edge from node 11 to node 9 with capacity 18,\nan edge from node 11 to node 6 with capacity 4,\nan edge from node 11 to node 4 with capacity 12,\nan edge from node 11 to node 3 with capacity 18,\nan edge from node 11 to node 2 with capacity 15,\nan edge from node 12 to node 10 with capacity 11,\nan edge from node 12 to node 3 with capacity 10,\nan edge from node 13 to node 11 with capacity 19,\nan edge from node 13 to node 0 with capacity 18,\nan edge from node 14 to node 12 with capacity 14,\nan edge from node 14 to node 11 with capacity 10,\nan edge from node 14 to node 0 with capacity 18,\nan edge from node 14 to node 13 with capacity 17,\nWhat is the maximum flow from node 6 to node 7:"
            },
            {
                "from": "gpt",
                "value": "10."
            }
        ]
    },
    {
        "id": "flow-hard-graph944",
        "image": "data/flow/graph_visual/hard/graph944.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 7 with capacity 15,\nan edge from node 0 to node 10 with capacity 17,\nan edge from node 0 to node 14 with capacity 10,\nan edge from node 1 to node 13 with capacity 5,\nan edge from node 1 to node 9 with capacity 12,\nan edge from node 1 to node 2 with capacity 20,\nan edge from node 1 to node 6 with capacity 5,\nan edge from node 1 to node 5 with capacity 17,\nan edge from node 1 to node 14 with capacity 14,\nan edge from node 2 to node 16 with capacity 8,\nan edge from node 2 to node 14 with capacity 5,\nan edge from node 3 to node 11 with capacity 7,\nan edge from node 3 to node 16 with capacity 8,\nan edge from node 3 to node 6 with capacity 9,\nan edge from node 3 to node 10 with capacity 11,\nan edge from node 3 to node 17 with capacity 12,\nan edge from node 4 to node 11 with capacity 10,\nan edge from node 4 to node 7 with capacity 15,\nan edge from node 4 to node 16 with capacity 1,\nan edge from node 4 to node 3 with capacity 13,\nan edge from node 4 to node 15 with capacity 5,\nan edge from node 4 to node 5 with capacity 15,\nan edge from node 4 to node 17 with capacity 20,\nan edge from node 5 to node 0 with capacity 11,\nan edge from node 5 to node 8 with capacity 7,\nan edge from node 5 to node 15 with capacity 2,\nan edge from node 6 to node 11 with capacity 8,\nan edge from node 6 to node 9 with capacity 3,\nan edge from node 6 to node 2 with capacity 9,\nan edge from node 6 to node 15 with capacity 18,\nan edge from node 7 to node 2 with capacity 1,\nan edge from node 7 to node 3 with capacity 9,\nan edge from node 7 to node 1 with capacity 5,\nan edge from node 7 to node 17 with capacity 20,\nan edge from node 8 to node 16 with capacity 10,\nan edge from node 9 to node 13 with capacity 10,\nan edge from node 9 to node 0 with capacity 16,\nan edge from node 9 to node 7 with capacity 16,\nan edge from node 9 to node 12 with capacity 7,\nan edge from node 9 to node 15 with capacity 16,\nan edge from node 9 to node 1 with capacity 10,\nan edge from node 9 to node 10 with capacity 17,\nan edge from node 9 to node 14 with capacity 11,\nan edge from node 10 to node 0 with capacity 15,\nan edge from node 10 to node 8 with capacity 17,\nan edge from node 10 to node 1 with capacity 7,\nan edge from node 10 to node 5 with capacity 12,\nan edge from node 11 to node 0 with capacity 15,\nan edge from node 11 to node 12 with capacity 10,\nan edge from node 11 to node 15 with capacity 7,\nan edge from node 11 to node 1 with capacity 16,\nan edge from node 11 to node 17 with capacity 15,\nan edge from node 12 to node 16 with capacity 2,\nan edge from node 12 to node 17 with capacity 7,\nan edge from node 13 to node 11 with capacity 10,\nan edge from node 13 to node 9 with capacity 12,\nan edge from node 13 to node 3 with capacity 20,\nan edge from node 13 to node 4 with capacity 6,\nan edge from node 14 to node 11 with capacity 13,\nan edge from node 14 to node 16 with capacity 12,\nan edge from node 14 to node 2 with capacity 7,\nan edge from node 14 to node 12 with capacity 13,\nan edge from node 15 to node 9 with capacity 7,\nan edge from node 15 to node 6 with capacity 19,\nan edge from node 15 to node 4 with capacity 19,\nan edge from node 15 to node 14 with capacity 12,\nan edge from node 16 to node 11 with capacity 2,\nan edge from node 16 to node 0 with capacity 1,\nan edge from node 16 to node 2 with capacity 7,\nan edge from node 16 to node 3 with capacity 5,\nan edge from node 16 to node 1 with capacity 15,\nan edge from node 17 to node 15 with capacity 19,\nWhat is the maximum flow from node 2 to node 0:"
            },
            {
                "from": "gpt",
                "value": "13."
            }
        ]
    },
    {
        "id": "flow-hard-graph413",
        "image": "data/flow/graph_visual/hard/graph413.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 1 to node 9 with capacity 9,\nan edge from node 1 to node 3 with capacity 16,\nan edge from node 1 to node 2 with capacity 2,\nan edge from node 1 to node 10 with capacity 18,\nan edge from node 2 to node 9 with capacity 17,\nan edge from node 2 to node 7 with capacity 9,\nan edge from node 2 to node 1 with capacity 6,\nan edge from node 3 to node 4 with capacity 3,\nan edge from node 3 to node 6 with capacity 13,\nan edge from node 4 to node 11 with capacity 2,\nan edge from node 4 to node 0 with capacity 19,\nan edge from node 4 to node 8 with capacity 9,\nan edge from node 5 to node 12 with capacity 14,\nan edge from node 5 to node 0 with capacity 11,\nan edge from node 5 to node 7 with capacity 8,\nan edge from node 5 to node 10 with capacity 1,\nan edge from node 6 to node 9 with capacity 10,\nan edge from node 6 to node 3 with capacity 3,\nan edge from node 6 to node 5 with capacity 3,\nan edge from node 6 to node 7 with capacity 6,\nan edge from node 6 to node 13 with capacity 15,\nan edge from node 6 to node 8 with capacity 19,\nan edge from node 7 to node 11 with capacity 6,\nan edge from node 7 to node 9 with capacity 18,\nan edge from node 7 to node 1 with capacity 14,\nan edge from node 7 to node 13 with capacity 3,\nan edge from node 8 to node 11 with capacity 4,\nan edge from node 8 to node 7 with capacity 3,\nan edge from node 9 to node 11 with capacity 5,\nan edge from node 9 to node 3 with capacity 15,\nan edge from node 9 to node 2 with capacity 12,\nan edge from node 10 to node 12 with capacity 17,\nan edge from node 10 to node 3 with capacity 18,\nan edge from node 10 to node 0 with capacity 16,\nan edge from node 10 to node 5 with capacity 19,\nan edge from node 10 to node 6 with capacity 6,\nan edge from node 11 to node 3 with capacity 18,\nan edge from node 11 to node 8 with capacity 12,\nan edge from node 12 to node 11 with capacity 6,\nan edge from node 12 to node 2 with capacity 5,\nan edge from node 12 to node 8 with capacity 20,\nan edge from node 12 to node 6 with capacity 11,\nan edge from node 13 to node 12 with capacity 3,\nan edge from node 13 to node 3 with capacity 15,\nan edge from node 13 to node 2 with capacity 20,\nan edge from node 13 to node 7 with capacity 15,\nan edge from node 13 to node 6 with capacity 5,\nan edge from node 13 to node 10 with capacity 3,\nWhat is the maximum flow from node 7 to node 0:"
            },
            {
                "from": "gpt",
                "value": "27."
            }
        ]
    },
    {
        "id": "flow-hard-graph569",
        "image": "data/flow/graph_visual/hard/graph569.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 4 with capacity 11,\nan edge from node 1 to node 9 with capacity 14,\nan edge from node 1 to node 4 with capacity 6,\nan edge from node 2 to node 5 with capacity 20,\nan edge from node 2 to node 9 with capacity 6,\nan edge from node 2 to node 6 with capacity 4,\nan edge from node 2 to node 7 with capacity 12,\nan edge from node 3 to node 8 with capacity 18,\nan edge from node 3 to node 11 with capacity 5,\nan edge from node 4 to node 5 with capacity 14,\nan edge from node 4 to node 14 with capacity 7,\nan edge from node 4 to node 11 with capacity 7,\nan edge from node 4 to node 1 with capacity 17,\nan edge from node 5 to node 2 with capacity 20,\nan edge from node 5 to node 9 with capacity 16,\nan edge from node 5 to node 3 with capacity 12,\nan edge from node 5 to node 10 with capacity 4,\nan edge from node 5 to node 11 with capacity 7,\nan edge from node 6 to node 5 with capacity 2,\nan edge from node 6 to node 8 with capacity 20,\nan edge from node 6 to node 1 with capacity 18,\nan edge from node 6 to node 7 with capacity 6,\nan edge from node 7 to node 5 with capacity 3,\nan edge from node 7 to node 14 with capacity 16,\nan edge from node 7 to node 9 with capacity 10,\nan edge from node 7 to node 12 with capacity 3,\nan edge from node 7 to node 13 with capacity 11,\nan edge from node 7 to node 10 with capacity 19,\nan edge from node 7 to node 4 with capacity 6,\nan edge from node 8 to node 14 with capacity 16,\nan edge from node 8 to node 0 with capacity 2,\nan edge from node 8 to node 10 with capacity 1,\nan edge from node 8 to node 6 with capacity 6,\nan edge from node 9 to node 10 with capacity 16,\nan edge from node 9 to node 11 with capacity 5,\nan edge from node 9 to node 1 with capacity 4,\nan edge from node 9 to node 7 with capacity 12,\nan edge from node 9 to node 4 with capacity 3,\nan edge from node 10 to node 3 with capacity 9,\nan edge from node 10 to node 6 with capacity 16,\nan edge from node 10 to node 7 with capacity 8,\nan edge from node 10 to node 4 with capacity 11,\nan edge from node 11 to node 2 with capacity 3,\nan edge from node 11 to node 14 with capacity 6,\nan edge from node 11 to node 12 with capacity 3,\nan edge from node 11 to node 3 with capacity 5,\nan edge from node 11 to node 10 with capacity 5,\nan edge from node 11 to node 6 with capacity 9,\nan edge from node 12 to node 2 with capacity 6,\nan edge from node 12 to node 5 with capacity 3,\nan edge from node 12 to node 0 with capacity 4,\nan edge from node 12 to node 3 with capacity 13,\nan edge from node 13 to node 9 with capacity 19,\nan edge from node 13 to node 8 with capacity 10,\nan edge from node 13 to node 6 with capacity 16,\nan edge from node 13 to node 4 with capacity 1,\nan edge from node 14 to node 10 with capacity 8,\nan edge from node 14 to node 6 with capacity 9,\nan edge from node 14 to node 11 with capacity 13,\nWhat is the maximum flow from node 12 to node 13:"
            },
            {
                "from": "gpt",
                "value": "11."
            }
        ]
    },
    {
        "id": "flow-hard-graph463",
        "image": "data/flow/graph_visual/hard/graph463.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 11 with capacity 5,\nan edge from node 0 to node 12 with capacity 11,\nan edge from node 0 to node 3 with capacity 18,\nan edge from node 0 to node 2 with capacity 2,\nan edge from node 0 to node 10 with capacity 5,\nan edge from node 0 to node 4 with capacity 5,\nan edge from node 1 to node 3 with capacity 13,\nan edge from node 1 to node 10 with capacity 20,\nan edge from node 2 to node 0 with capacity 6,\nan edge from node 2 to node 13 with capacity 15,\nan edge from node 2 to node 8 with capacity 17,\nan edge from node 3 to node 12 with capacity 16,\nan edge from node 3 to node 1 with capacity 18,\nan edge from node 4 to node 10 with capacity 19,\nan edge from node 5 to node 12 with capacity 9,\nan edge from node 5 to node 3 with capacity 2,\nan edge from node 5 to node 7 with capacity 18,\nan edge from node 5 to node 13 with capacity 16,\nan edge from node 5 to node 8 with capacity 9,\nan edge from node 6 to node 5 with capacity 2,\nan edge from node 6 to node 9 with capacity 18,\nan edge from node 6 to node 1 with capacity 5,\nan edge from node 6 to node 7 with capacity 16,\nan edge from node 7 to node 12 with capacity 2,\nan edge from node 7 to node 2 with capacity 9,\nan edge from node 8 to node 11 with capacity 5,\nan edge from node 8 to node 9 with capacity 19,\nan edge from node 8 to node 1 with capacity 4,\nan edge from node 8 to node 2 with capacity 20,\nan edge from node 9 to node 2 with capacity 10,\nan edge from node 9 to node 7 with capacity 16,\nan edge from node 9 to node 4 with capacity 18,\nan edge from node 10 to node 11 with capacity 1,\nan edge from node 10 to node 13 with capacity 4,\nan edge from node 11 to node 12 with capacity 9,\nan edge from node 11 to node 9 with capacity 20,\nan edge from node 11 to node 2 with capacity 13,\nan edge from node 11 to node 8 with capacity 5,\nan edge from node 12 to node 0 with capacity 7,\nan edge from node 12 to node 1 with capacity 12,\nan edge from node 12 to node 7 with capacity 15,\nan edge from node 12 to node 8 with capacity 15,\nan edge from node 13 to node 0 with capacity 3,\nan edge from node 13 to node 6 with capacity 10,\nan edge from node 13 to node 2 with capacity 12,\nan edge from node 13 to node 10 with capacity 12,\nWhat is the maximum flow from node 2 to node 5:"
            },
            {
                "from": "gpt",
                "value": "2."
            }
        ]
    },
    {
        "id": "flow-hard-graph187",
        "image": "data/flow/graph_visual/hard/graph187.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 5 with capacity 5,\nan edge from node 1 to node 6 with capacity 11,\nan edge from node 1 to node 7 with capacity 17,\nan edge from node 1 to node 2 with capacity 9,\nan edge from node 2 to node 0 with capacity 19,\nan edge from node 2 to node 3 with capacity 6,\nan edge from node 3 to node 0 with capacity 13,\nan edge from node 3 to node 8 with capacity 2,\nan edge from node 3 to node 2 with capacity 20,\nan edge from node 3 to node 4 with capacity 6,\nan edge from node 4 to node 0 with capacity 10,\nan edge from node 4 to node 10 with capacity 18,\nan edge from node 4 to node 7 with capacity 20,\nan edge from node 4 to node 11 with capacity 11,\nan edge from node 5 to node 0 with capacity 17,\nan edge from node 5 to node 8 with capacity 8,\nan edge from node 6 to node 0 with capacity 1,\nan edge from node 6 to node 5 with capacity 17,\nan edge from node 6 to node 9 with capacity 3,\nan edge from node 6 to node 2 with capacity 10,\nan edge from node 7 to node 3 with capacity 1,\nan edge from node 7 to node 6 with capacity 8,\nan edge from node 7 to node 1 with capacity 18,\nan edge from node 7 to node 4 with capacity 13,\nan edge from node 8 to node 7 with capacity 4,\nan edge from node 8 to node 5 with capacity 9,\nan edge from node 8 to node 2 with capacity 2,\nan edge from node 9 to node 10 with capacity 3,\nan edge from node 9 to node 7 with capacity 15,\nan edge from node 9 to node 5 with capacity 15,\nan edge from node 10 to node 3 with capacity 11,\nan edge from node 10 to node 7 with capacity 17,\nan edge from node 10 to node 8 with capacity 4,\nan edge from node 11 to node 8 with capacity 18,\nan edge from node 11 to node 5 with capacity 9,\nan edge from node 11 to node 1 with capacity 5,\nWhat is the maximum flow from node 10 to node 7:"
            },
            {
                "from": "gpt",
                "value": "27."
            }
        ]
    },
    {
        "id": "flow-hard-graph236",
        "image": "data/flow/graph_visual/hard/graph236.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 5 with capacity 2,\nan edge from node 0 to node 10 with capacity 16,\nan edge from node 0 to node 2 with capacity 14,\nan edge from node 1 to node 5 with capacity 2,\nan edge from node 1 to node 9 with capacity 13,\nan edge from node 1 to node 2 with capacity 4,\nan edge from node 1 to node 0 with capacity 3,\nan edge from node 2 to node 6 with capacity 16,\nan edge from node 2 to node 9 with capacity 6,\nan edge from node 2 to node 0 with capacity 18,\nan edge from node 3 to node 0 with capacity 13,\nan edge from node 4 to node 3 with capacity 10,\nan edge from node 4 to node 6 with capacity 9,\nan edge from node 4 to node 9 with capacity 7,\nan edge from node 5 to node 7 with capacity 5,\nan edge from node 5 to node 1 with capacity 4,\nan edge from node 5 to node 2 with capacity 20,\nan edge from node 5 to node 0 with capacity 3,\nan edge from node 6 to node 3 with capacity 19,\nan edge from node 6 to node 4 with capacity 16,\nan edge from node 6 to node 10 with capacity 2,\nan edge from node 7 to node 6 with capacity 19,\nan edge from node 7 to node 8 with capacity 3,\nan edge from node 8 to node 2 with capacity 19,\nan edge from node 9 to node 3 with capacity 9,\nan edge from node 9 to node 5 with capacity 17,\nan edge from node 9 to node 7 with capacity 7,\nan edge from node 9 to node 6 with capacity 18,\nan edge from node 9 to node 1 with capacity 19,\nan edge from node 9 to node 8 with capacity 15,\nan edge from node 9 to node 11 with capacity 1,\nan edge from node 10 to node 3 with capacity 2,\nan edge from node 10 to node 5 with capacity 14,\nan edge from node 10 to node 6 with capacity 9,\nan edge from node 10 to node 11 with capacity 9,\nan edge from node 11 to node 3 with capacity 3,\nan edge from node 11 to node 5 with capacity 20,\nan edge from node 11 to node 7 with capacity 12,\nan edge from node 11 to node 9 with capacity 3,\nan edge from node 11 to node 4 with capacity 8,\nWhat is the maximum flow from node 6 to node 0:"
            },
            {
                "from": "gpt",
                "value": "22."
            }
        ]
    },
    {
        "id": "flow-hard-graph76",
        "image": "data/flow/graph_visual/hard/graph76.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 1 with capacity 18,\nan edge from node 1 to node 5 with capacity 16,\nan edge from node 2 to node 9 with capacity 11,\nan edge from node 2 to node 5 with capacity 16,\nan edge from node 2 to node 4 with capacity 11,\nan edge from node 3 to node 9 with capacity 19,\nan edge from node 3 to node 5 with capacity 10,\nan edge from node 3 to node 4 with capacity 11,\nan edge from node 4 to node 1 with capacity 3,\nan edge from node 5 to node 0 with capacity 16,\nan edge from node 5 to node 10 with capacity 16,\nan edge from node 6 to node 7 with capacity 12,\nan edge from node 6 to node 2 with capacity 9,\nan edge from node 7 to node 8 with capacity 8,\nan edge from node 7 to node 6 with capacity 5,\nan edge from node 7 to node 0 with capacity 11,\nan edge from node 7 to node 3 with capacity 18,\nan edge from node 8 to node 9 with capacity 14,\nan edge from node 8 to node 2 with capacity 2,\nan edge from node 10 to node 8 with capacity 2,\nan edge from node 10 to node 9 with capacity 17,\nan edge from node 10 to node 7 with capacity 9,\nan edge from node 10 to node 2 with capacity 11,\nWhat is the maximum flow from node 3 to node 8:"
            },
            {
                "from": "gpt",
                "value": "10."
            }
        ]
    },
    {
        "id": "flow-hard-graph340",
        "image": "data/flow/graph_visual/hard/graph340.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 6 with capacity 6,\nan edge from node 0 to node 2 with capacity 19,\nan edge from node 1 to node 8 with capacity 17,\nan edge from node 1 to node 10 with capacity 12,\nan edge from node 1 to node 2 with capacity 16,\nan edge from node 2 to node 7 with capacity 19,\nan edge from node 2 to node 9 with capacity 5,\nan edge from node 2 to node 8 with capacity 14,\nan edge from node 2 to node 5 with capacity 7,\nan edge from node 2 to node 3 with capacity 16,\nan edge from node 3 to node 7 with capacity 20,\nan edge from node 3 to node 9 with capacity 7,\nan edge from node 3 to node 6 with capacity 13,\nan edge from node 3 to node 10 with capacity 8,\nan edge from node 3 to node 12 with capacity 8,\nan edge from node 3 to node 1 with capacity 19,\nan edge from node 5 to node 9 with capacity 5,\nan edge from node 5 to node 8 with capacity 12,\nan edge from node 6 to node 7 with capacity 13,\nan edge from node 6 to node 0 with capacity 3,\nan edge from node 6 to node 11 with capacity 19,\nan edge from node 6 to node 10 with capacity 19,\nan edge from node 6 to node 4 with capacity 20,\nan edge from node 6 to node 1 with capacity 18,\nan edge from node 7 to node 0 with capacity 15,\nan edge from node 7 to node 6 with capacity 1,\nan edge from node 7 to node 5 with capacity 11,\nan edge from node 7 to node 2 with capacity 11,\nan edge from node 8 to node 0 with capacity 13,\nan edge from node 8 to node 6 with capacity 3,\nan edge from node 8 to node 12 with capacity 14,\nan edge from node 8 to node 3 with capacity 8,\nan edge from node 9 to node 7 with capacity 4,\nan edge from node 9 to node 6 with capacity 5,\nan edge from node 9 to node 4 with capacity 11,\nan edge from node 9 to node 2 with capacity 9,\nan edge from node 10 to node 4 with capacity 11,\nan edge from node 11 to node 9 with capacity 2,\nan edge from node 11 to node 5 with capacity 8,\nan edge from node 11 to node 2 with capacity 6,\nan edge from node 11 to node 12 with capacity 7,\nan edge from node 12 to node 9 with capacity 19,\nan edge from node 12 to node 6 with capacity 16,\nan edge from node 12 to node 11 with capacity 2,\nan edge from node 12 to node 10 with capacity 11,\nan edge from node 12 to node 3 with capacity 5,\nWhat is the maximum flow from node 7 to node 4:"
            },
            {
                "from": "gpt",
                "value": "38."
            }
        ]
    },
    {
        "id": "flow-hard-graph198",
        "image": "data/flow/graph_visual/hard/graph198.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 6 with capacity 1,\nan edge from node 0 to node 7 with capacity 17,\nan edge from node 0 to node 1 with capacity 11,\nan edge from node 0 to node 11 with capacity 9,\nan edge from node 1 to node 8 with capacity 8,\nan edge from node 1 to node 10 with capacity 12,\nan edge from node 1 to node 5 with capacity 13,\nan edge from node 1 to node 0 with capacity 11,\nan edge from node 1 to node 11 with capacity 13,\nan edge from node 3 to node 6 with capacity 16,\nan edge from node 4 to node 8 with capacity 6,\nan edge from node 4 to node 5 with capacity 6,\nan edge from node 5 to node 4 with capacity 6,\nan edge from node 5 to node 1 with capacity 8,\nan edge from node 5 to node 9 with capacity 9,\nan edge from node 6 to node 8 with capacity 15,\nan edge from node 6 to node 3 with capacity 9,\nan edge from node 6 to node 5 with capacity 5,\nan edge from node 6 to node 2 with capacity 18,\nan edge from node 7 to node 6 with capacity 12,\nan edge from node 7 to node 0 with capacity 4,\nan edge from node 7 to node 9 with capacity 6,\nan edge from node 8 to node 9 with capacity 6,\nan edge from node 9 to node 6 with capacity 4,\nan edge from node 11 to node 10 with capacity 13,\nan edge from node 11 to node 0 with capacity 4,\nWhat is the maximum flow from node 0 to node 2:"
            },
            {
                "from": "gpt",
                "value": "17."
            }
        ]
    },
    {
        "id": "flow-hard-graph32",
        "image": "data/flow/graph_visual/hard/graph32.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 6 with capacity 13,\nan edge from node 1 to node 5 with capacity 5,\nan edge from node 2 to node 0 with capacity 18,\nan edge from node 2 to node 5 with capacity 5,\nan edge from node 2 to node 7 with capacity 5,\nan edge from node 3 to node 4 with capacity 11,\nan edge from node 3 to node 5 with capacity 16,\nan edge from node 4 to node 0 with capacity 1,\nan edge from node 4 to node 2 with capacity 14,\nan edge from node 4 to node 7 with capacity 2,\nan edge from node 5 to node 4 with capacity 5,\nan edge from node 5 to node 2 with capacity 11,\nan edge from node 6 to node 7 with capacity 4,\nan edge from node 6 to node 1 with capacity 8,\nan edge from node 7 to node 4 with capacity 6,\nan edge from node 7 to node 1 with capacity 6,\nan edge from node 8 to node 0 with capacity 2,\nan edge from node 8 to node 4 with capacity 8,\nan edge from node 8 to node 5 with capacity 1,\nan edge from node 8 to node 7 with capacity 2,\nan edge from node 9 to node 2 with capacity 16,\nan edge from node 9 to node 7 with capacity 11,\nan edge from node 10 to node 0 with capacity 2,\nan edge from node 10 to node 5 with capacity 14,\nWhat is the maximum flow from node 2 to node 1:"
            },
            {
                "from": "gpt",
                "value": "14."
            }
        ]
    },
    {
        "id": "flow-hard-graph381",
        "image": "data/flow/graph_visual/hard/graph381.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 9 with capacity 14,\nan edge from node 0 to node 8 with capacity 20,\nan edge from node 0 to node 3 with capacity 13,\nan edge from node 0 to node 6 with capacity 17,\nan edge from node 0 to node 11 with capacity 12,\nan edge from node 0 to node 12 with capacity 20,\nan edge from node 1 to node 6 with capacity 3,\nan edge from node 1 to node 4 with capacity 8,\nan edge from node 1 to node 0 with capacity 13,\nan edge from node 1 to node 2 with capacity 10,\nan edge from node 2 to node 8 with capacity 9,\nan edge from node 2 to node 10 with capacity 5,\nan edge from node 2 to node 7 with capacity 19,\nan edge from node 2 to node 3 with capacity 15,\nan edge from node 2 to node 5 with capacity 12,\nan edge from node 2 to node 12 with capacity 6,\nan edge from node 3 to node 10 with capacity 1,\nan edge from node 3 to node 1 with capacity 6,\nan edge from node 3 to node 11 with capacity 14,\nan edge from node 3 to node 2 with capacity 10,\nan edge from node 4 to node 8 with capacity 12,\nan edge from node 4 to node 1 with capacity 8,\nan edge from node 4 to node 6 with capacity 1,\nan edge from node 5 to node 1 with capacity 8,\nan edge from node 5 to node 0 with capacity 18,\nan edge from node 6 to node 7 with capacity 3,\nan edge from node 7 to node 13 with capacity 11,\nan edge from node 8 to node 13 with capacity 2,\nan edge from node 8 to node 3 with capacity 9,\nan edge from node 8 to node 5 with capacity 4,\nan edge from node 8 to node 4 with capacity 7,\nan edge from node 9 to node 2 with capacity 17,\nan edge from node 10 to node 9 with capacity 12,\nan edge from node 10 to node 13 with capacity 18,\nan edge from node 11 to node 1 with capacity 3,\nan edge from node 11 to node 5 with capacity 17,\nan edge from node 12 to node 9 with capacity 17,\nan edge from node 12 to node 10 with capacity 18,\nan edge from node 12 to node 3 with capacity 16,\nan edge from node 12 to node 6 with capacity 10,\nan edge from node 13 to node 3 with capacity 4,\nan edge from node 13 to node 5 with capacity 8,\nan edge from node 13 to node 11 with capacity 18,\nan edge from node 13 to node 4 with capacity 16,\nan edge from node 13 to node 12 with capacity 7,\nan edge from node 13 to node 0 with capacity 1,\nWhat is the maximum flow from node 0 to node 13:"
            },
            {
                "from": "gpt",
                "value": "31."
            }
        ]
    },
    {
        "id": "flow-hard-graph599",
        "image": "data/flow/graph_visual/hard/graph599.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 4 with capacity 12,\nan edge from node 2 to node 9 with capacity 12,\nan edge from node 2 to node 0 with capacity 7,\nan edge from node 2 to node 12 with capacity 5,\nan edge from node 3 to node 10 with capacity 11,\nan edge from node 3 to node 11 with capacity 15,\nan edge from node 3 to node 14 with capacity 8,\nan edge from node 3 to node 13 with capacity 11,\nan edge from node 4 to node 0 with capacity 18,\nan edge from node 4 to node 5 with capacity 17,\nan edge from node 4 to node 12 with capacity 6,\nan edge from node 5 to node 0 with capacity 15,\nan edge from node 5 to node 6 with capacity 19,\nan edge from node 5 to node 7 with capacity 12,\nan edge from node 5 to node 3 with capacity 3,\nan edge from node 6 to node 9 with capacity 17,\nan edge from node 6 to node 4 with capacity 19,\nan edge from node 6 to node 7 with capacity 11,\nan edge from node 6 to node 12 with capacity 5,\nan edge from node 6 to node 2 with capacity 4,\nan edge from node 6 to node 13 with capacity 5,\nan edge from node 7 to node 1 with capacity 14,\nan edge from node 7 to node 11 with capacity 7,\nan edge from node 7 to node 3 with capacity 8,\nan edge from node 8 to node 6 with capacity 9,\nan edge from node 8 to node 7 with capacity 7,\nan edge from node 8 to node 12 with capacity 4,\nan edge from node 8 to node 13 with capacity 8,\nan edge from node 9 to node 7 with capacity 6,\nan edge from node 9 to node 12 with capacity 20,\nan edge from node 9 to node 8 with capacity 11,\nan edge from node 10 to node 7 with capacity 18,\nan edge from node 10 to node 11 with capacity 7,\nan edge from node 10 to node 14 with capacity 1,\nan edge from node 11 to node 9 with capacity 1,\nan edge from node 11 to node 0 with capacity 1,\nan edge from node 11 to node 5 with capacity 6,\nan edge from node 11 to node 8 with capacity 3,\nan edge from node 12 to node 6 with capacity 9,\nan edge from node 12 to node 1 with capacity 15,\nan edge from node 12 to node 10 with capacity 18,\nan edge from node 12 to node 8 with capacity 6,\nan edge from node 13 to node 9 with capacity 14,\nan edge from node 13 to node 6 with capacity 18,\nan edge from node 13 to node 7 with capacity 10,\nan edge from node 13 to node 1 with capacity 1,\nan edge from node 13 to node 10 with capacity 17,\nan edge from node 14 to node 6 with capacity 17,\nan edge from node 14 to node 7 with capacity 10,\nWhat is the maximum flow from node 4 to node 11:"
            },
            {
                "from": "gpt",
                "value": "23."
            }
        ]
    },
    {
        "id": "flow-hard-graph134",
        "image": "data/flow/graph_visual/hard/graph134.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 4 with capacity 3,\nan edge from node 0 to node 2 with capacity 12,\nan edge from node 0 to node 9 with capacity 4,\nan edge from node 0 to node 8 with capacity 11,\nan edge from node 1 to node 5 with capacity 14,\nan edge from node 1 to node 4 with capacity 20,\nan edge from node 1 to node 0 with capacity 4,\nan edge from node 1 to node 8 with capacity 7,\nan edge from node 2 to node 7 with capacity 19,\nan edge from node 2 to node 0 with capacity 9,\nan edge from node 2 to node 10 with capacity 8,\nan edge from node 2 to node 1 with capacity 19,\nan edge from node 3 to node 7 with capacity 7,\nan edge from node 3 to node 2 with capacity 18,\nan edge from node 3 to node 9 with capacity 17,\nan edge from node 4 to node 2 with capacity 13,\nan edge from node 5 to node 11 with capacity 5,\nan edge from node 5 to node 0 with capacity 12,\nan edge from node 5 to node 3 with capacity 6,\nan edge from node 6 to node 7 with capacity 18,\nan edge from node 6 to node 4 with capacity 1,\nan edge from node 6 to node 9 with capacity 19,\nan edge from node 6 to node 0 with capacity 19,\nan edge from node 7 to node 5 with capacity 5,\nan edge from node 7 to node 3 with capacity 15,\nan edge from node 8 to node 9 with capacity 6,\nan edge from node 8 to node 0 with capacity 9,\nan edge from node 8 to node 10 with capacity 1,\nan edge from node 9 to node 3 with capacity 15,\nan edge from node 10 to node 4 with capacity 10,\nan edge from node 10 to node 6 with capacity 15,\nan edge from node 10 to node 0 with capacity 12,\nan edge from node 10 to node 3 with capacity 16,\nan edge from node 10 to node 8 with capacity 17,\nan edge from node 10 to node 1 with capacity 6,\nan edge from node 11 to node 7 with capacity 9,\nan edge from node 11 to node 2 with capacity 15,\nWhat is the maximum flow from node 7 to node 0:"
            },
            {
                "from": "gpt",
                "value": "20."
            }
        ]
    },
    {
        "id": "flow-hard-graph869",
        "image": "data/flow/graph_visual/hard/graph869.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 11 with capacity 10,\nan edge from node 0 to node 15 with capacity 7,\nan edge from node 0 to node 8 with capacity 2,\nan edge from node 0 to node 10 with capacity 2,\nan edge from node 1 to node 11 with capacity 9,\nan edge from node 1 to node 12 with capacity 13,\nan edge from node 1 to node 2 with capacity 16,\nan edge from node 1 to node 16 with capacity 3,\nan edge from node 2 to node 17 with capacity 6,\nan edge from node 2 to node 15 with capacity 15,\nan edge from node 2 to node 8 with capacity 14,\nan edge from node 2 to node 10 with capacity 8,\nan edge from node 3 to node 6 with capacity 20,\nan edge from node 3 to node 15 with capacity 12,\nan edge from node 3 to node 7 with capacity 4,\nan edge from node 4 to node 17 with capacity 17,\nan edge from node 4 to node 15 with capacity 3,\nan edge from node 4 to node 10 with capacity 7,\nan edge from node 5 to node 6 with capacity 2,\nan edge from node 5 to node 7 with capacity 18,\nan edge from node 5 to node 1 with capacity 11,\nan edge from node 5 to node 3 with capacity 7,\nan edge from node 6 to node 11 with capacity 7,\nan edge from node 6 to node 12 with capacity 17,\nan edge from node 6 to node 15 with capacity 5,\nan edge from node 6 to node 9 with capacity 12,\nan edge from node 6 to node 5 with capacity 9,\nan edge from node 6 to node 3 with capacity 10,\nan edge from node 7 to node 11 with capacity 11,\nan edge from node 7 to node 15 with capacity 7,\nan edge from node 7 to node 1 with capacity 20,\nan edge from node 7 to node 9 with capacity 2,\nan edge from node 7 to node 10 with capacity 10,\nan edge from node 8 to node 11 with capacity 14,\nan edge from node 8 to node 14 with capacity 10,\nan edge from node 8 to node 10 with capacity 9,\nan edge from node 8 to node 3 with capacity 7,\nan edge from node 9 to node 15 with capacity 11,\nan edge from node 9 to node 7 with capacity 19,\nan edge from node 10 to node 12 with capacity 17,\nan edge from node 10 to node 17 with capacity 6,\nan edge from node 11 to node 14 with capacity 8,\nan edge from node 11 to node 12 with capacity 2,\nan edge from node 11 to node 1 with capacity 3,\nan edge from node 11 to node 8 with capacity 6,\nan edge from node 11 to node 5 with capacity 2,\nan edge from node 11 to node 10 with capacity 4,\nan edge from node 11 to node 2 with capacity 5,\nan edge from node 11 to node 4 with capacity 2,\nan edge from node 12 to node 6 with capacity 16,\nan edge from node 12 to node 13 with capacity 18,\nan edge from node 12 to node 15 with capacity 6,\nan edge from node 12 to node 1 with capacity 2,\nan edge from node 12 to node 16 with capacity 17,\nan edge from node 12 to node 4 with capacity 14,\nan edge from node 13 to node 14 with capacity 4,\nan edge from node 13 to node 1 with capacity 6,\nan edge from node 13 to node 10 with capacity 5,\nan edge from node 13 to node 3 with capacity 7,\nan edge from node 13 to node 4 with capacity 19,\nan edge from node 14 to node 7 with capacity 18,\nan edge from node 14 to node 8 with capacity 19,\nan edge from node 15 to node 13 with capacity 10,\nan edge from node 15 to node 14 with capacity 5,\nan edge from node 15 to node 17 with capacity 4,\nan edge from node 15 to node 5 with capacity 16,\nan edge from node 15 to node 2 with capacity 8,\nan edge from node 15 to node 3 with capacity 5,\nan edge from node 16 to node 11 with capacity 13,\nan edge from node 16 to node 12 with capacity 1,\nan edge from node 16 to node 15 with capacity 5,\nan edge from node 16 to node 7 with capacity 19,\nan edge from node 16 to node 5 with capacity 2,\nan edge from node 16 to node 3 with capacity 1,\nan edge from node 16 to node 4 with capacity 20,\nan edge from node 17 to node 11 with capacity 16,\nan edge from node 17 to node 14 with capacity 19,\nan edge from node 17 to node 8 with capacity 9,\nan edge from node 17 to node 2 with capacity 8,\nan edge from node 17 to node 3 with capacity 3,\nWhat is the maximum flow from node 5 to node 8:"
            },
            {
                "from": "gpt",
                "value": "38."
            }
        ]
    },
    {
        "id": "flow-hard-graph706",
        "image": "data/flow/graph_visual/hard/graph706.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 10 with capacity 4,\nan edge from node 0 to node 11 with capacity 10,\nan edge from node 0 to node 8 with capacity 12,\nan edge from node 0 to node 4 with capacity 15,\nan edge from node 1 to node 15 with capacity 8,\nan edge from node 1 to node 5 with capacity 19,\nan edge from node 2 to node 9 with capacity 7,\nan edge from node 2 to node 14 with capacity 3,\nan edge from node 2 to node 6 with capacity 20,\nan edge from node 3 to node 10 with capacity 20,\nan edge from node 3 to node 11 with capacity 20,\nan edge from node 3 to node 6 with capacity 17,\nan edge from node 3 to node 2 with capacity 12,\nan edge from node 3 to node 7 with capacity 16,\nan edge from node 3 to node 4 with capacity 1,\nan edge from node 3 to node 0 with capacity 4,\nan edge from node 4 to node 2 with capacity 5,\nan edge from node 4 to node 7 with capacity 16,\nan edge from node 5 to node 11 with capacity 7,\nan edge from node 5 to node 9 with capacity 1,\nan edge from node 5 to node 2 with capacity 19,\nan edge from node 5 to node 7 with capacity 15,\nan edge from node 6 to node 3 with capacity 5,\nan edge from node 6 to node 9 with capacity 10,\nan edge from node 6 to node 13 with capacity 17,\nan edge from node 6 to node 2 with capacity 19,\nan edge from node 6 to node 5 with capacity 1,\nan edge from node 6 to node 12 with capacity 10,\nan edge from node 6 to node 4 with capacity 1,\nan edge from node 7 to node 11 with capacity 8,\nan edge from node 8 to node 4 with capacity 6,\nan edge from node 9 to node 11 with capacity 12,\nan edge from node 9 to node 0 with capacity 12,\nan edge from node 10 to node 3 with capacity 16,\nan edge from node 10 to node 9 with capacity 10,\nan edge from node 10 to node 6 with capacity 16,\nan edge from node 11 to node 1 with capacity 19,\nan edge from node 11 to node 2 with capacity 8,\nan edge from node 11 to node 4 with capacity 12,\nan edge from node 12 to node 10 with capacity 4,\nan edge from node 12 to node 13 with capacity 10,\nan edge from node 12 to node 14 with capacity 9,\nan edge from node 12 to node 6 with capacity 1,\nan edge from node 12 to node 7 with capacity 9,\nan edge from node 12 to node 5 with capacity 14,\nan edge from node 12 to node 8 with capacity 20,\nan edge from node 13 to node 10 with capacity 16,\nan edge from node 13 to node 3 with capacity 13,\nan edge from node 13 to node 2 with capacity 3,\nan edge from node 13 to node 7 with capacity 9,\nan edge from node 13 to node 8 with capacity 1,\nan edge from node 13 to node 12 with capacity 19,\nan edge from node 14 to node 9 with capacity 3,\nan edge from node 14 to node 13 with capacity 3,\nan edge from node 14 to node 12 with capacity 15,\nan edge from node 15 to node 10 with capacity 18,\nan edge from node 15 to node 14 with capacity 17,\nan edge from node 15 to node 4 with capacity 5,\nWhat is the maximum flow from node 13 to node 10:"
            },
            {
                "from": "gpt",
                "value": "50."
            }
        ]
    },
    {
        "id": "flow-hard-graph839",
        "image": "data/flow/graph_visual/hard/graph839.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 5 with capacity 4,\nan edge from node 0 to node 13 with capacity 20,\nan edge from node 0 to node 7 with capacity 2,\nan edge from node 0 to node 2 with capacity 11,\nan edge from node 0 to node 10 with capacity 10,\nan edge from node 0 to node 14 with capacity 5,\nan edge from node 0 to node 9 with capacity 16,\nan edge from node 0 to node 8 with capacity 8,\nan edge from node 1 to node 13 with capacity 12,\nan edge from node 1 to node 4 with capacity 14,\nan edge from node 1 to node 6 with capacity 4,\nan edge from node 1 to node 7 with capacity 1,\nan edge from node 1 to node 10 with capacity 4,\nan edge from node 1 to node 9 with capacity 19,\nan edge from node 2 to node 0 with capacity 20,\nan edge from node 2 to node 10 with capacity 20,\nan edge from node 2 to node 9 with capacity 3,\nan edge from node 3 to node 5 with capacity 19,\nan edge from node 3 to node 4 with capacity 11,\nan edge from node 3 to node 9 with capacity 6,\nan edge from node 4 to node 13 with capacity 14,\nan edge from node 4 to node 7 with capacity 19,\nan edge from node 4 to node 2 with capacity 14,\nan edge from node 4 to node 10 with capacity 3,\nan edge from node 4 to node 14 with capacity 13,\nan edge from node 4 to node 15 with capacity 1,\nan edge from node 4 to node 9 with capacity 17,\nan edge from node 5 to node 0 with capacity 17,\nan edge from node 5 to node 6 with capacity 15,\nan edge from node 5 to node 2 with capacity 2,\nan edge from node 5 to node 10 with capacity 13,\nan edge from node 5 to node 14 with capacity 2,\nan edge from node 5 to node 9 with capacity 20,\nan edge from node 5 to node 8 with capacity 4,\nan edge from node 6 to node 3 with capacity 6,\nan edge from node 6 to node 4 with capacity 13,\nan edge from node 6 to node 1 with capacity 19,\nan edge from node 6 to node 8 with capacity 6,\nan edge from node 7 to node 0 with capacity 3,\nan edge from node 7 to node 11 with capacity 13,\nan edge from node 7 to node 2 with capacity 16,\nan edge from node 7 to node 9 with capacity 3,\nan edge from node 8 to node 0 with capacity 20,\nan edge from node 8 to node 15 with capacity 1,\nan edge from node 8 to node 9 with capacity 12,\nan edge from node 8 to node 1 with capacity 10,\nan edge from node 9 to node 4 with capacity 7,\nan edge from node 9 to node 2 with capacity 7,\nan edge from node 10 to node 11 with capacity 13,\nan edge from node 10 to node 2 with capacity 17,\nan edge from node 11 to node 16 with capacity 18,\nan edge from node 11 to node 0 with capacity 9,\nan edge from node 11 to node 6 with capacity 10,\nan edge from node 11 to node 10 with capacity 19,\nan edge from node 11 to node 14 with capacity 12,\nan edge from node 12 to node 0 with capacity 14,\nan edge from node 12 to node 13 with capacity 19,\nan edge from node 12 to node 4 with capacity 16,\nan edge from node 12 to node 6 with capacity 15,\nan edge from node 12 to node 11 with capacity 10,\nan edge from node 12 to node 9 with capacity 13,\nan edge from node 13 to node 16 with capacity 5,\nan edge from node 13 to node 14 with capacity 18,\nan edge from node 14 to node 5 with capacity 8,\nan edge from node 14 to node 12 with capacity 3,\nan edge from node 14 to node 9 with capacity 4,\nan edge from node 15 to node 16 with capacity 17,\nan edge from node 15 to node 13 with capacity 1,\nan edge from node 15 to node 6 with capacity 3,\nan edge from node 15 to node 14 with capacity 6,\nan edge from node 15 to node 9 with capacity 17,\nan edge from node 16 to node 4 with capacity 8,\nan edge from node 16 to node 6 with capacity 18,\nan edge from node 16 to node 11 with capacity 4,\nan edge from node 16 to node 1 with capacity 2,\nWhat is the maximum flow from node 6 to node 8:"
            },
            {
                "from": "gpt",
                "value": "18."
            }
        ]
    },
    {
        "id": "flow-hard-graph841",
        "image": "data/flow/graph_visual/hard/graph841.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 3 with capacity 18,\nan edge from node 0 to node 4 with capacity 15,\nan edge from node 0 to node 10 with capacity 18,\nan edge from node 0 to node 11 with capacity 8,\nan edge from node 1 to node 12 with capacity 5,\nan edge from node 1 to node 14 with capacity 3,\nan edge from node 1 to node 7 with capacity 4,\nan edge from node 2 to node 9 with capacity 11,\nan edge from node 2 to node 7 with capacity 14,\nan edge from node 2 to node 15 with capacity 10,\nan edge from node 2 to node 11 with capacity 18,\nan edge from node 3 to node 1 with capacity 11,\nan edge from node 3 to node 12 with capacity 1,\nan edge from node 3 to node 10 with capacity 5,\nan edge from node 3 to node 13 with capacity 6,\nan edge from node 3 to node 5 with capacity 12,\nan edge from node 4 to node 3 with capacity 12,\nan edge from node 4 to node 0 with capacity 6,\nan edge from node 4 to node 7 with capacity 7,\nan edge from node 4 to node 16 with capacity 12,\nan edge from node 4 to node 5 with capacity 2,\nan edge from node 5 to node 9 with capacity 6,\nan edge from node 5 to node 14 with capacity 6,\nan edge from node 5 to node 8 with capacity 11,\nan edge from node 5 to node 13 with capacity 12,\nan edge from node 5 to node 15 with capacity 19,\nan edge from node 6 to node 8 with capacity 6,\nan edge from node 6 to node 15 with capacity 16,\nan edge from node 6 to node 5 with capacity 11,\nan edge from node 7 to node 0 with capacity 12,\nan edge from node 7 to node 15 with capacity 4,\nan edge from node 8 to node 1 with capacity 18,\nan edge from node 8 to node 9 with capacity 6,\nan edge from node 8 to node 4 with capacity 12,\nan edge from node 8 to node 17 with capacity 4,\nan edge from node 8 to node 15 with capacity 6,\nan edge from node 9 to node 12 with capacity 7,\nan edge from node 9 to node 0 with capacity 7,\nan edge from node 9 to node 10 with capacity 9,\nan edge from node 9 to node 16 with capacity 12,\nan edge from node 9 to node 15 with capacity 6,\nan edge from node 9 to node 2 with capacity 13,\nan edge from node 10 to node 1 with capacity 17,\nan edge from node 10 to node 0 with capacity 12,\nan edge from node 10 to node 4 with capacity 8,\nan edge from node 10 to node 17 with capacity 9,\nan edge from node 10 to node 8 with capacity 10,\nan edge from node 10 to node 13 with capacity 4,\nan edge from node 11 to node 1 with capacity 10,\nan edge from node 11 to node 0 with capacity 16,\nan edge from node 11 to node 17 with capacity 10,\nan edge from node 11 to node 8 with capacity 11,\nan edge from node 11 to node 2 with capacity 5,\nan edge from node 11 to node 5 with capacity 17,\nan edge from node 12 to node 16 with capacity 5,\nan edge from node 12 to node 2 with capacity 19,\nan edge from node 13 to node 6 with capacity 12,\nan edge from node 13 to node 16 with capacity 12,\nan edge from node 13 to node 11 with capacity 1,\nan edge from node 14 to node 0 with capacity 20,\nan edge from node 14 to node 11 with capacity 4,\nan edge from node 15 to node 9 with capacity 8,\nan edge from node 15 to node 7 with capacity 20,\nan edge from node 15 to node 16 with capacity 1,\nan edge from node 15 to node 8 with capacity 2,\nan edge from node 16 to node 12 with capacity 2,\nan edge from node 16 to node 10 with capacity 15,\nan edge from node 16 to node 8 with capacity 11,\nan edge from node 17 to node 3 with capacity 12,\nan edge from node 17 to node 11 with capacity 6,\nWhat is the maximum flow from node 3 to node 0:"
            },
            {
                "from": "gpt",
                "value": "35."
            }
        ]
    },
    {
        "id": "flow-hard-graph1100",
        "image": "data/flow/graph_visual/hard/graph1100.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 5 with capacity 20,\nan edge from node 0 to node 14 with capacity 16,\nan edge from node 0 to node 11 with capacity 14,\nan edge from node 0 to node 4 with capacity 12,\nan edge from node 0 to node 15 with capacity 19,\nan edge from node 1 to node 18 with capacity 8,\nan edge from node 1 to node 4 with capacity 12,\nan edge from node 1 to node 7 with capacity 11,\nan edge from node 1 to node 12 with capacity 17,\nan edge from node 2 to node 17 with capacity 14,\nan edge from node 2 to node 0 with capacity 19,\nan edge from node 2 to node 5 with capacity 8,\nan edge from node 2 to node 9 with capacity 20,\nan edge from node 2 to node 15 with capacity 14,\nan edge from node 2 to node 8 with capacity 15,\nan edge from node 2 to node 6 with capacity 17,\nan edge from node 3 to node 16 with capacity 17,\nan edge from node 3 to node 10 with capacity 19,\nan edge from node 3 to node 18 with capacity 5,\nan edge from node 3 to node 12 with capacity 3,\nan edge from node 4 to node 14 with capacity 11,\nan edge from node 4 to node 11 with capacity 17,\nan edge from node 4 to node 19 with capacity 20,\nan edge from node 4 to node 3 with capacity 6,\nan edge from node 5 to node 11 with capacity 9,\nan edge from node 5 to node 7 with capacity 20,\nan edge from node 5 to node 6 with capacity 8,\nan edge from node 6 to node 8 with capacity 7,\nan edge from node 6 to node 12 with capacity 1,\nan edge from node 7 to node 1 with capacity 2,\nan edge from node 7 to node 10 with capacity 17,\nan edge from node 7 to node 11 with capacity 13,\nan edge from node 7 to node 18 with capacity 17,\nan edge from node 7 to node 13 with capacity 15,\nan edge from node 7 to node 15 with capacity 1,\nan edge from node 7 to node 8 with capacity 10,\nan edge from node 7 to node 3 with capacity 12,\nan edge from node 8 to node 11 with capacity 4,\nan edge from node 8 to node 18 with capacity 12,\nan edge from node 8 to node 13 with capacity 2,\nan edge from node 9 to node 1 with capacity 19,\nan edge from node 9 to node 10 with capacity 17,\nan edge from node 9 to node 4 with capacity 3,\nan edge from node 9 to node 13 with capacity 5,\nan edge from node 10 to node 1 with capacity 3,\nan edge from node 10 to node 16 with capacity 8,\nan edge from node 10 to node 5 with capacity 18,\nan edge from node 10 to node 3 with capacity 1,\nan edge from node 11 to node 1 with capacity 13,\nan edge from node 11 to node 2 with capacity 6,\nan edge from node 11 to node 5 with capacity 2,\nan edge from node 11 to node 9 with capacity 2,\nan edge from node 11 to node 4 with capacity 10,\nan edge from node 11 to node 13 with capacity 9,\nan edge from node 11 to node 6 with capacity 9,\nan edge from node 12 to node 17 with capacity 9,\nan edge from node 12 to node 16 with capacity 9,\nan edge from node 12 to node 5 with capacity 11,\nan edge from node 12 to node 9 with capacity 10,\nan edge from node 12 to node 11 with capacity 3,\nan edge from node 12 to node 15 with capacity 14,\nan edge from node 13 to node 0 with capacity 20,\nan edge from node 13 to node 14 with capacity 11,\nan edge from node 13 to node 9 with capacity 4,\nan edge from node 13 to node 15 with capacity 9,\nan edge from node 13 to node 19 with capacity 16,\nan edge from node 14 to node 0 with capacity 4,\nan edge from node 14 to node 2 with capacity 13,\nan edge from node 14 to node 9 with capacity 10,\nan edge from node 14 to node 13 with capacity 7,\nan edge from node 14 to node 7 with capacity 1,\nan edge from node 14 to node 3 with capacity 6,\nan edge from node 15 to node 1 with capacity 4,\nan edge from node 15 to node 10 with capacity 8,\nan edge from node 15 to node 7 with capacity 18,\nan edge from node 15 to node 6 with capacity 5,\nan edge from node 16 to node 1 with capacity 7,\nan edge from node 16 to node 0 with capacity 7,\nan edge from node 16 to node 9 with capacity 11,\nan edge from node 16 to node 11 with capacity 20,\nan edge from node 16 to node 13 with capacity 19,\nan edge from node 16 to node 19 with capacity 1,\nan edge from node 17 to node 16 with capacity 3,\nan edge from node 17 to node 2 with capacity 12,\nan edge from node 17 to node 10 with capacity 18,\nan edge from node 17 to node 15 with capacity 20,\nan edge from node 17 to node 8 with capacity 20,\nan edge from node 17 to node 19 with capacity 12,\nan edge from node 17 to node 6 with capacity 10,\nan edge from node 17 to node 12 with capacity 2,\nan edge from node 18 to node 2 with capacity 8,\nan edge from node 18 to node 8 with capacity 6,\nan edge from node 18 to node 3 with capacity 12,\nan edge from node 19 to node 17 with capacity 18,\nan edge from node 19 to node 0 with capacity 4,\nan edge from node 19 to node 9 with capacity 19,\nan edge from node 19 to node 6 with capacity 16,\nWhat is the maximum flow from node 0 to node 8:"
            },
            {
                "from": "gpt",
                "value": "58."
            }
        ]
    },
    {
        "id": "flow-hard-graph279",
        "image": "data/flow/graph_visual/hard/graph279.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 1 with capacity 2,\nan edge from node 0 to node 12 with capacity 17,\nan edge from node 1 to node 11 with capacity 8,\nan edge from node 1 to node 0 with capacity 17,\nan edge from node 1 to node 12 with capacity 16,\nan edge from node 1 to node 7 with capacity 5,\nan edge from node 2 to node 9 with capacity 5,\nan edge from node 2 to node 6 with capacity 9,\nan edge from node 2 to node 11 with capacity 20,\nan edge from node 2 to node 7 with capacity 20,\nan edge from node 3 to node 9 with capacity 4,\nan edge from node 3 to node 6 with capacity 18,\nan edge from node 3 to node 2 with capacity 14,\nan edge from node 3 to node 8 with capacity 2,\nan edge from node 3 to node 0 with capacity 3,\nan edge from node 4 to node 2 with capacity 4,\nan edge from node 4 to node 12 with capacity 5,\nan edge from node 5 to node 11 with capacity 1,\nan edge from node 5 to node 3 with capacity 6,\nan edge from node 6 to node 4 with capacity 7,\nan edge from node 6 to node 1 with capacity 4,\nan edge from node 7 to node 6 with capacity 17,\nan edge from node 7 to node 5 with capacity 6,\nan edge from node 8 to node 6 with capacity 11,\nan edge from node 8 to node 2 with capacity 17,\nan edge from node 8 to node 3 with capacity 10,\nan edge from node 8 to node 10 with capacity 19,\nan edge from node 8 to node 5 with capacity 20,\nan edge from node 9 to node 4 with capacity 12,\nan edge from node 9 to node 11 with capacity 14,\nan edge from node 10 to node 1 with capacity 1,\nan edge from node 10 to node 2 with capacity 17,\nan edge from node 10 to node 3 with capacity 16,\nan edge from node 10 to node 12 with capacity 6,\nan edge from node 10 to node 7 with capacity 19,\nan edge from node 11 to node 9 with capacity 6,\nan edge from node 11 to node 8 with capacity 1,\nan edge from node 12 to node 11 with capacity 4,\nWhat is the maximum flow from node 5 to node 2:"
            },
            {
                "from": "gpt",
                "value": "7."
            }
        ]
    },
    {
        "id": "flow-hard-graph1093",
        "image": "data/flow/graph_visual/hard/graph1093.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 13 with capacity 15,\nan edge from node 0 to node 7 with capacity 3,\nan edge from node 0 to node 19 with capacity 9,\nan edge from node 0 to node 18 with capacity 9,\nan edge from node 1 to node 16 with capacity 14,\nan edge from node 1 to node 15 with capacity 5,\nan edge from node 1 to node 8 with capacity 5,\nan edge from node 1 to node 12 with capacity 3,\nan edge from node 1 to node 4 with capacity 14,\nan edge from node 2 to node 17 with capacity 13,\nan edge from node 2 to node 12 with capacity 5,\nan edge from node 2 to node 4 with capacity 1,\nan edge from node 2 to node 3 with capacity 15,\nan edge from node 3 to node 16 with capacity 17,\nan edge from node 3 to node 17 with capacity 6,\nan edge from node 3 to node 2 with capacity 15,\nan edge from node 3 to node 10 with capacity 5,\nan edge from node 4 to node 13 with capacity 7,\nan edge from node 4 to node 5 with capacity 3,\nan edge from node 4 to node 1 with capacity 4,\nan edge from node 4 to node 6 with capacity 4,\nan edge from node 4 to node 19 with capacity 9,\nan edge from node 5 to node 16 with capacity 19,\nan edge from node 5 to node 0 with capacity 19,\nan edge from node 5 to node 6 with capacity 18,\nan edge from node 5 to node 11 with capacity 15,\nan edge from node 5 to node 8 with capacity 1,\nan edge from node 6 to node 16 with capacity 9,\nan edge from node 6 to node 1 with capacity 11,\nan edge from node 6 to node 11 with capacity 16,\nan edge from node 7 to node 5 with capacity 14,\nan edge from node 7 to node 1 with capacity 7,\nan edge from node 7 to node 6 with capacity 15,\nan edge from node 7 to node 2 with capacity 16,\nan edge from node 7 to node 11 with capacity 17,\nan edge from node 7 to node 18 with capacity 2,\nan edge from node 7 to node 3 with capacity 1,\nan edge from node 8 to node 0 with capacity 19,\nan edge from node 8 to node 11 with capacity 12,\nan edge from node 8 to node 12 with capacity 20,\nan edge from node 8 to node 4 with capacity 4,\nan edge from node 9 to node 2 with capacity 1,\nan edge from node 9 to node 19 with capacity 13,\nan edge from node 9 to node 10 with capacity 12,\nan edge from node 10 to node 2 with capacity 7,\nan edge from node 10 to node 9 with capacity 15,\nan edge from node 10 to node 19 with capacity 19,\nan edge from node 10 to node 18 with capacity 16,\nan edge from node 11 to node 13 with capacity 17,\nan edge from node 11 to node 5 with capacity 20,\nan edge from node 11 to node 1 with capacity 18,\nan edge from node 11 to node 17 with capacity 17,\nan edge from node 11 to node 2 with capacity 17,\nan edge from node 11 to node 9 with capacity 15,\nan edge from node 11 to node 15 with capacity 14,\nan edge from node 11 to node 3 with capacity 19,\nan edge from node 12 to node 7 with capacity 3,\nan edge from node 12 to node 1 with capacity 10,\nan edge from node 13 to node 7 with capacity 6,\nan edge from node 13 to node 6 with capacity 9,\nan edge from node 13 to node 15 with capacity 10,\nan edge from node 13 to node 8 with capacity 12,\nan edge from node 13 to node 12 with capacity 16,\nan edge from node 13 to node 18 with capacity 7,\nan edge from node 14 to node 13 with capacity 13,\nan edge from node 14 to node 1 with capacity 4,\nan edge from node 14 to node 17 with capacity 7,\nan edge from node 14 to node 8 with capacity 11,\nan edge from node 14 to node 18 with capacity 4,\nan edge from node 15 to node 5 with capacity 19,\nan edge from node 15 to node 8 with capacity 12,\nan edge from node 15 to node 18 with capacity 7,\nan edge from node 16 to node 13 with capacity 1,\nan edge from node 16 to node 1 with capacity 8,\nan edge from node 16 to node 17 with capacity 2,\nan edge from node 16 to node 6 with capacity 9,\nan edge from node 16 to node 11 with capacity 4,\nan edge from node 17 to node 1 with capacity 15,\nan edge from node 17 to node 10 with capacity 19,\nan edge from node 18 to node 6 with capacity 14,\nan edge from node 18 to node 4 with capacity 13,\nan edge from node 19 to node 11 with capacity 18,\nan edge from node 19 to node 14 with capacity 1,\nan edge from node 19 to node 8 with capacity 9,\nWhat is the maximum flow from node 5 to node 2:"
            },
            {
                "from": "gpt",
                "value": "52."
            }
        ]
    },
    {
        "id": "flow-hard-graph742",
        "image": "data/flow/graph_visual/hard/graph742.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 2 with capacity 9,\nan edge from node 0 to node 10 with capacity 2,\nan edge from node 0 to node 12 with capacity 15,\nan edge from node 0 to node 13 with capacity 2,\nan edge from node 0 to node 1 with capacity 11,\nan edge from node 0 to node 7 with capacity 7,\nan edge from node 0 to node 3 with capacity 6,\nan edge from node 1 to node 0 with capacity 15,\nan edge from node 1 to node 12 with capacity 4,\nan edge from node 1 to node 6 with capacity 6,\nan edge from node 1 to node 11 with capacity 18,\nan edge from node 1 to node 13 with capacity 9,\nan edge from node 1 to node 14 with capacity 17,\nan edge from node 1 to node 4 with capacity 7,\nan edge from node 2 to node 14 with capacity 7,\nan edge from node 2 to node 9 with capacity 20,\nan edge from node 3 to node 10 with capacity 6,\nan edge from node 3 to node 11 with capacity 16,\nan edge from node 3 to node 13 with capacity 3,\nan edge from node 3 to node 1 with capacity 16,\nan edge from node 3 to node 9 with capacity 18,\nan edge from node 3 to node 4 with capacity 13,\nan edge from node 4 to node 15 with capacity 15,\nan edge from node 4 to node 5 with capacity 8,\nan edge from node 4 to node 6 with capacity 19,\nan edge from node 4 to node 11 with capacity 6,\nan edge from node 5 to node 15 with capacity 16,\nan edge from node 5 to node 16 with capacity 5,\nan edge from node 5 to node 13 with capacity 18,\nan edge from node 5 to node 14 with capacity 10,\nan edge from node 5 to node 9 with capacity 7,\nan edge from node 5 to node 4 with capacity 13,\nan edge from node 6 to node 0 with capacity 19,\nan edge from node 6 to node 2 with capacity 11,\nan edge from node 6 to node 10 with capacity 5,\nan edge from node 6 to node 13 with capacity 20,\nan edge from node 7 to node 15 with capacity 2,\nan edge from node 7 to node 5 with capacity 16,\nan edge from node 7 to node 12 with capacity 13,\nan edge from node 7 to node 16 with capacity 20,\nan edge from node 7 to node 13 with capacity 4,\nan edge from node 7 to node 3 with capacity 12,\nan edge from node 8 to node 10 with capacity 4,\nan edge from node 9 to node 0 with capacity 20,\nan edge from node 9 to node 4 with capacity 8,\nan edge from node 10 to node 0 with capacity 2,\nan edge from node 10 to node 5 with capacity 13,\nan edge from node 10 to node 16 with capacity 1,\nan edge from node 10 to node 14 with capacity 9,\nan edge from node 10 to node 3 with capacity 2,\nan edge from node 11 to node 2 with capacity 12,\nan edge from node 11 to node 15 with capacity 8,\nan edge from node 11 to node 13 with capacity 19,\nan edge from node 11 to node 4 with capacity 9,\nan edge from node 11 to node 8 with capacity 9,\nan edge from node 11 to node 3 with capacity 2,\nan edge from node 12 to node 5 with capacity 13,\nan edge from node 12 to node 10 with capacity 7,\nan edge from node 12 to node 16 with capacity 6,\nan edge from node 13 to node 15 with capacity 10,\nan edge from node 13 to node 5 with capacity 3,\nan edge from node 13 to node 11 with capacity 2,\nan edge from node 13 to node 16 with capacity 7,\nan edge from node 13 to node 9 with capacity 3,\nan edge from node 13 to node 3 with capacity 18,\nan edge from node 14 to node 10 with capacity 16,\nan edge from node 14 to node 12 with capacity 15,\nan edge from node 14 to node 7 with capacity 8,\nan edge from node 14 to node 9 with capacity 14,\nan edge from node 15 to node 0 with capacity 11,\nan edge from node 15 to node 11 with capacity 7,\nan edge from node 15 to node 16 with capacity 1,\nan edge from node 15 to node 13 with capacity 16,\nan edge from node 15 to node 1 with capacity 17,\nan edge from node 15 to node 14 with capacity 4,\nan edge from node 15 to node 8 with capacity 8,\nan edge from node 16 to node 15 with capacity 8,\nan edge from node 16 to node 5 with capacity 2,\nan edge from node 16 to node 6 with capacity 17,\nan edge from node 16 to node 8 with capacity 8,\nWhat is the maximum flow from node 3 to node 4:"
            },
            {
                "from": "gpt",
                "value": "50."
            }
        ]
    },
    {
        "id": "flow-hard-graph1159",
        "image": "data/flow/graph_visual/hard/graph1159.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 4 with capacity 17,\nan edge from node 0 to node 11 with capacity 6,\nan edge from node 0 to node 7 with capacity 15,\nan edge from node 0 to node 16 with capacity 1,\nan edge from node 1 to node 10 with capacity 10,\nan edge from node 1 to node 4 with capacity 8,\nan edge from node 1 to node 9 with capacity 15,\nan edge from node 1 to node 15 with capacity 2,\nan edge from node 1 to node 5 with capacity 17,\nan edge from node 2 to node 13 with capacity 7,\nan edge from node 2 to node 1 with capacity 15,\nan edge from node 2 to node 0 with capacity 18,\nan edge from node 2 to node 15 with capacity 9,\nan edge from node 2 to node 5 with capacity 17,\nan edge from node 3 to node 1 with capacity 4,\nan edge from node 3 to node 19 with capacity 20,\nan edge from node 3 to node 2 with capacity 15,\nan edge from node 3 to node 4 with capacity 17,\nan edge from node 3 to node 12 with capacity 20,\nan edge from node 3 to node 8 with capacity 14,\nan edge from node 3 to node 9 with capacity 12,\nan edge from node 3 to node 11 with capacity 17,\nan edge from node 4 to node 14 with capacity 9,\nan edge from node 4 to node 18 with capacity 17,\nan edge from node 4 to node 15 with capacity 12,\nan edge from node 5 to node 2 with capacity 19,\nan edge from node 5 to node 10 with capacity 6,\nan edge from node 5 to node 12 with capacity 6,\nan edge from node 5 to node 9 with capacity 3,\nan edge from node 5 to node 3 with capacity 6,\nan edge from node 6 to node 14 with capacity 6,\nan edge from node 6 to node 13 with capacity 1,\nan edge from node 6 to node 0 with capacity 17,\nan edge from node 6 to node 2 with capacity 18,\nan edge from node 6 to node 12 with capacity 20,\nan edge from node 6 to node 11 with capacity 4,\nan edge from node 6 to node 16 with capacity 14,\nan edge from node 7 to node 17 with capacity 13,\nan edge from node 7 to node 0 with capacity 2,\nan edge from node 7 to node 2 with capacity 7,\nan edge from node 7 to node 11 with capacity 9,\nan edge from node 7 to node 3 with capacity 2,\nan edge from node 8 to node 1 with capacity 19,\nan edge from node 8 to node 19 with capacity 18,\nan edge from node 8 to node 2 with capacity 12,\nan edge from node 9 to node 1 with capacity 11,\nan edge from node 9 to node 10 with capacity 12,\nan edge from node 9 to node 8 with capacity 18,\nan edge from node 10 to node 2 with capacity 2,\nan edge from node 10 to node 9 with capacity 1,\nan edge from node 10 to node 7 with capacity 14,\nan edge from node 11 to node 14 with capacity 5,\nan edge from node 11 to node 18 with capacity 12,\nan edge from node 11 to node 10 with capacity 12,\nan edge from node 11 to node 12 with capacity 6,\nan edge from node 11 to node 8 with capacity 4,\nan edge from node 11 to node 9 with capacity 7,\nan edge from node 12 to node 6 with capacity 12,\nan edge from node 12 to node 13 with capacity 6,\nan edge from node 12 to node 4 with capacity 2,\nan edge from node 12 to node 7 with capacity 18,\nan edge from node 12 to node 3 with capacity 5,\nan edge from node 13 to node 14 with capacity 17,\nan edge from node 13 to node 8 with capacity 18,\nan edge from node 13 to node 5 with capacity 19,\nan edge from node 14 to node 1 with capacity 19,\nan edge from node 14 to node 19 with capacity 8,\nan edge from node 14 to node 8 with capacity 9,\nan edge from node 14 to node 11 with capacity 16,\nan edge from node 15 to node 18 with capacity 19,\nan edge from node 15 to node 2 with capacity 9,\nan edge from node 15 to node 7 with capacity 7,\nan edge from node 15 to node 16 with capacity 11,\nan edge from node 16 to node 17 with capacity 14,\nan edge from node 16 to node 19 with capacity 14,\nan edge from node 16 to node 0 with capacity 11,\nan edge from node 16 to node 12 with capacity 16,\nan edge from node 16 to node 11 with capacity 11,\nan edge from node 16 to node 5 with capacity 14,\nan edge from node 16 to node 7 with capacity 16,\nan edge from node 17 to node 1 with capacity 14,\nan edge from node 17 to node 18 with capacity 18,\nan edge from node 17 to node 19 with capacity 16,\nan edge from node 17 to node 5 with capacity 7,\nan edge from node 17 to node 16 with capacity 11,\nan edge from node 18 to node 17 with capacity 12,\nan edge from node 18 to node 4 with capacity 13,\nan edge from node 18 to node 11 with capacity 20,\nan edge from node 19 to node 13 with capacity 9,\nan edge from node 19 to node 17 with capacity 3,\nan edge from node 19 to node 11 with capacity 10,\nan edge from node 19 to node 5 with capacity 18,\nan edge from node 19 to node 16 with capacity 4,\nWhat is the maximum flow from node 9 to node 0:"
            },
            {
                "from": "gpt",
                "value": "41."
            }
        ]
    },
    {
        "id": "flow-hard-graph265",
        "image": "data/flow/graph_visual/hard/graph265.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 1 with capacity 20,\nan edge from node 1 to node 0 with capacity 3,\nan edge from node 1 to node 12 with capacity 20,\nan edge from node 2 to node 11 with capacity 20,\nan edge from node 2 to node 8 with capacity 12,\nan edge from node 3 to node 0 with capacity 14,\nan edge from node 3 to node 2 with capacity 11,\nan edge from node 3 to node 1 with capacity 4,\nan edge from node 4 to node 0 with capacity 5,\nan edge from node 4 to node 2 with capacity 3,\nan edge from node 4 to node 12 with capacity 2,\nan edge from node 5 to node 7 with capacity 14,\nan edge from node 5 to node 9 with capacity 5,\nan edge from node 6 to node 10 with capacity 3,\nan edge from node 6 to node 8 with capacity 9,\nan edge from node 6 to node 4 with capacity 16,\nan edge from node 6 to node 1 with capacity 8,\nan edge from node 6 to node 12 with capacity 4,\nan edge from node 7 to node 11 with capacity 20,\nan edge from node 7 to node 8 with capacity 15,\nan edge from node 7 to node 9 with capacity 13,\nan edge from node 7 to node 3 with capacity 10,\nan edge from node 7 to node 1 with capacity 1,\nan edge from node 8 to node 10 with capacity 10,\nan edge from node 8 to node 11 with capacity 16,\nan edge from node 8 to node 6 with capacity 18,\nan edge from node 8 to node 9 with capacity 6,\nan edge from node 8 to node 4 with capacity 19,\nan edge from node 8 to node 1 with capacity 4,\nan edge from node 9 to node 10 with capacity 4,\nan edge from node 9 to node 0 with capacity 16,\nan edge from node 9 to node 8 with capacity 15,\nan edge from node 10 to node 5 with capacity 16,\nan edge from node 10 to node 3 with capacity 8,\nan edge from node 10 to node 4 with capacity 15,\nan edge from node 10 to node 1 with capacity 14,\nan edge from node 11 to node 0 with capacity 13,\nan edge from node 11 to node 8 with capacity 1,\nan edge from node 11 to node 3 with capacity 18,\nan edge from node 11 to node 4 with capacity 11,\nan edge from node 12 to node 7 with capacity 5,\nan edge from node 12 to node 3 with capacity 7,\nWhat is the maximum flow from node 12 to node 2:"
            },
            {
                "from": "gpt",
                "value": "12."
            }
        ]
    },
    {
        "id": "flow-hard-graph584",
        "image": "data/flow/graph_visual/hard/graph584.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 13 with capacity 20,\nan edge from node 0 to node 6 with capacity 9,\nan edge from node 0 to node 14 with capacity 11,\nan edge from node 0 to node 4 with capacity 2,\nan edge from node 1 to node 6 with capacity 3,\nan edge from node 2 to node 6 with capacity 14,\nan edge from node 2 to node 3 with capacity 3,\nan edge from node 2 to node 0 with capacity 1,\nan edge from node 3 to node 6 with capacity 18,\nan edge from node 3 to node 10 with capacity 12,\nan edge from node 3 to node 0 with capacity 6,\nan edge from node 3 to node 14 with capacity 1,\nan edge from node 4 to node 14 with capacity 9,\nan edge from node 5 to node 7 with capacity 14,\nan edge from node 5 to node 9 with capacity 14,\nan edge from node 5 to node 2 with capacity 1,\nan edge from node 5 to node 8 with capacity 2,\nan edge from node 5 to node 4 with capacity 11,\nan edge from node 6 to node 13 with capacity 17,\nan edge from node 6 to node 10 with capacity 17,\nan edge from node 6 to node 9 with capacity 10,\nan edge from node 7 to node 6 with capacity 6,\nan edge from node 7 to node 3 with capacity 10,\nan edge from node 7 to node 2 with capacity 19,\nan edge from node 7 to node 4 with capacity 12,\nan edge from node 8 to node 4 with capacity 19,\nan edge from node 9 to node 5 with capacity 10,\nan edge from node 9 to node 7 with capacity 9,\nan edge from node 9 to node 3 with capacity 9,\nan edge from node 9 to node 12 with capacity 15,\nan edge from node 9 to node 4 with capacity 5,\nan edge from node 10 to node 7 with capacity 9,\nan edge from node 10 to node 3 with capacity 20,\nan edge from node 10 to node 2 with capacity 10,\nan edge from node 10 to node 12 with capacity 4,\nan edge from node 10 to node 1 with capacity 19,\nan edge from node 10 to node 4 with capacity 18,\nan edge from node 11 to node 13 with capacity 17,\nan edge from node 11 to node 12 with capacity 20,\nan edge from node 12 to node 3 with capacity 18,\nan edge from node 12 to node 11 with capacity 7,\nan edge from node 12 to node 2 with capacity 6,\nan edge from node 12 to node 1 with capacity 14,\nan edge from node 13 to node 11 with capacity 6,\nan edge from node 13 to node 8 with capacity 12,\nan edge from node 14 to node 13 with capacity 14,\nan edge from node 14 to node 6 with capacity 10,\nan edge from node 14 to node 10 with capacity 20,\nan edge from node 14 to node 0 with capacity 20,\nWhat is the maximum flow from node 12 to node 7:"
            },
            {
                "from": "gpt",
                "value": "19."
            }
        ]
    },
    {
        "id": "flow-hard-graph880",
        "image": "data/flow/graph_visual/hard/graph880.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 8 with capacity 13,\nan edge from node 0 to node 4 with capacity 15,\nan edge from node 0 to node 12 with capacity 6,\nan edge from node 1 to node 15 with capacity 9,\nan edge from node 1 to node 11 with capacity 6,\nan edge from node 1 to node 10 with capacity 14,\nan edge from node 2 to node 0 with capacity 16,\nan edge from node 2 to node 4 with capacity 19,\nan edge from node 2 to node 10 with capacity 6,\nan edge from node 3 to node 5 with capacity 9,\nan edge from node 3 to node 15 with capacity 15,\nan edge from node 3 to node 11 with capacity 18,\nan edge from node 3 to node 13 with capacity 12,\nan edge from node 3 to node 12 with capacity 18,\nan edge from node 4 to node 5 with capacity 7,\nan edge from node 4 to node 17 with capacity 3,\nan edge from node 4 to node 0 with capacity 7,\nan edge from node 4 to node 16 with capacity 15,\nan edge from node 4 to node 12 with capacity 2,\nan edge from node 5 to node 8 with capacity 15,\nan edge from node 5 to node 4 with capacity 16,\nan edge from node 5 to node 7 with capacity 17,\nan edge from node 5 to node 3 with capacity 16,\nan edge from node 5 to node 2 with capacity 18,\nan edge from node 5 to node 12 with capacity 4,\nan edge from node 6 to node 4 with capacity 12,\nan edge from node 6 to node 11 with capacity 8,\nan edge from node 6 to node 16 with capacity 18,\nan edge from node 6 to node 1 with capacity 7,\nan edge from node 7 to node 17 with capacity 9,\nan edge from node 7 to node 15 with capacity 16,\nan edge from node 7 to node 14 with capacity 6,\nan edge from node 7 to node 16 with capacity 2,\nan edge from node 7 to node 12 with capacity 10,\nan edge from node 8 to node 14 with capacity 4,\nan edge from node 8 to node 4 with capacity 3,\nan edge from node 8 to node 16 with capacity 10,\nan edge from node 8 to node 3 with capacity 6,\nan edge from node 8 to node 13 with capacity 6,\nan edge from node 9 to node 0 with capacity 17,\nan edge from node 9 to node 15 with capacity 11,\nan edge from node 9 to node 11 with capacity 19,\nan edge from node 9 to node 2 with capacity 11,\nan edge from node 9 to node 10 with capacity 1,\nan edge from node 11 to node 5 with capacity 2,\nan edge from node 11 to node 13 with capacity 14,\nan edge from node 11 to node 1 with capacity 19,\nan edge from node 11 to node 2 with capacity 8,\nan edge from node 12 to node 9 with capacity 11,\nan edge from node 12 to node 17 with capacity 19,\nan edge from node 12 to node 0 with capacity 11,\nan edge from node 12 to node 14 with capacity 12,\nan edge from node 12 to node 16 with capacity 6,\nan edge from node 12 to node 1 with capacity 15,\nan edge from node 13 to node 16 with capacity 9,\nan edge from node 13 to node 12 with capacity 4,\nan edge from node 14 to node 3 with capacity 16,\nan edge from node 15 to node 0 with capacity 10,\nan edge from node 15 to node 11 with capacity 11,\nan edge from node 15 to node 16 with capacity 10,\nan edge from node 15 to node 7 with capacity 13,\nan edge from node 15 to node 13 with capacity 4,\nan edge from node 15 to node 12 with capacity 18,\nan edge from node 15 to node 10 with capacity 17,\nan edge from node 16 to node 0 with capacity 16,\nan edge from node 16 to node 6 with capacity 19,\nan edge from node 17 to node 0 with capacity 8,\nan edge from node 17 to node 15 with capacity 3,\nan edge from node 17 to node 4 with capacity 6,\nan edge from node 17 to node 1 with capacity 7,\nWhat is the maximum flow from node 9 to node 7:"
            },
            {
                "from": "gpt",
                "value": "30."
            }
        ]
    },
    {
        "id": "flow-hard-graph222",
        "image": "data/flow/graph_visual/hard/graph222.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 5 with capacity 15,\nan edge from node 0 to node 2 with capacity 14,\nan edge from node 0 to node 9 with capacity 14,\nan edge from node 0 to node 6 with capacity 18,\nan edge from node 1 to node 11 with capacity 2,\nan edge from node 1 to node 0 with capacity 6,\nan edge from node 1 to node 6 with capacity 9,\nan edge from node 2 to node 11 with capacity 17,\nan edge from node 2 to node 9 with capacity 13,\nan edge from node 2 to node 6 with capacity 7,\nan edge from node 2 to node 10 with capacity 4,\nan edge from node 3 to node 1 with capacity 16,\nan edge from node 3 to node 2 with capacity 16,\nan edge from node 3 to node 4 with capacity 10,\nan edge from node 3 to node 10 with capacity 5,\nan edge from node 4 to node 5 with capacity 16,\nan edge from node 5 to node 0 with capacity 1,\nan edge from node 5 to node 7 with capacity 4,\nan edge from node 5 to node 10 with capacity 13,\nan edge from node 6 to node 1 with capacity 20,\nan edge from node 6 to node 2 with capacity 8,\nan edge from node 6 to node 3 with capacity 17,\nan edge from node 7 to node 9 with capacity 15,\nan edge from node 8 to node 0 with capacity 16,\nan edge from node 8 to node 6 with capacity 5,\nan edge from node 8 to node 10 with capacity 20,\nan edge from node 9 to node 5 with capacity 12,\nan edge from node 9 to node 1 with capacity 3,\nan edge from node 9 to node 11 with capacity 12,\nan edge from node 9 to node 8 with capacity 19,\nan edge from node 9 to node 7 with capacity 16,\nan edge from node 10 to node 5 with capacity 6,\nan edge from node 10 to node 4 with capacity 9,\nan edge from node 10 to node 7 with capacity 8,\nan edge from node 11 to node 2 with capacity 18,\nan edge from node 11 to node 10 with capacity 13,\nWhat is the maximum flow from node 3 to node 11:"
            },
            {
                "from": "gpt",
                "value": "31."
            }
        ]
    },
    {
        "id": "flow-hard-graph692",
        "image": "data/flow/graph_visual/hard/graph692.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 14 with capacity 6,\nan edge from node 0 to node 8 with capacity 12,\nan edge from node 0 to node 6 with capacity 15,\nan edge from node 0 to node 11 with capacity 1,\nan edge from node 0 to node 15 with capacity 13,\nan edge from node 0 to node 7 with capacity 1,\nan edge from node 1 to node 10 with capacity 7,\nan edge from node 1 to node 4 with capacity 13,\nan edge from node 1 to node 7 with capacity 17,\nan edge from node 2 to node 3 with capacity 2,\nan edge from node 2 to node 15 with capacity 9,\nan edge from node 3 to node 6 with capacity 12,\nan edge from node 3 to node 10 with capacity 2,\nan edge from node 3 to node 15 with capacity 2,\nan edge from node 4 to node 11 with capacity 7,\nan edge from node 4 to node 9 with capacity 9,\nan edge from node 4 to node 10 with capacity 13,\nan edge from node 5 to node 6 with capacity 13,\nan edge from node 5 to node 15 with capacity 18,\nan edge from node 5 to node 0 with capacity 20,\nan edge from node 6 to node 8 with capacity 9,\nan edge from node 6 to node 9 with capacity 18,\nan edge from node 6 to node 0 with capacity 12,\nan edge from node 7 to node 12 with capacity 3,\nan edge from node 7 to node 8 with capacity 9,\nan edge from node 7 to node 4 with capacity 5,\nan edge from node 7 to node 0 with capacity 8,\nan edge from node 8 to node 12 with capacity 15,\nan edge from node 8 to node 10 with capacity 15,\nan edge from node 8 to node 4 with capacity 19,\nan edge from node 9 to node 13 with capacity 9,\nan edge from node 9 to node 10 with capacity 10,\nan edge from node 9 to node 4 with capacity 19,\nan edge from node 10 to node 8 with capacity 10,\nan edge from node 10 to node 3 with capacity 9,\nan edge from node 10 to node 7 with capacity 12,\nan edge from node 11 to node 3 with capacity 1,\nan edge from node 11 to node 9 with capacity 7,\nan edge from node 12 to node 6 with capacity 5,\nan edge from node 12 to node 4 with capacity 1,\nan edge from node 12 to node 7 with capacity 4,\nan edge from node 13 to node 4 with capacity 13,\nan edge from node 13 to node 15 with capacity 16,\nan edge from node 13 to node 0 with capacity 19,\nan edge from node 14 to node 8 with capacity 19,\nan edge from node 14 to node 13 with capacity 5,\nan edge from node 14 to node 11 with capacity 3,\nan edge from node 15 to node 6 with capacity 17,\nan edge from node 15 to node 1 with capacity 8,\nWhat is the maximum flow from node 11 to node 13:"
            },
            {
                "from": "gpt",
                "value": "8."
            }
        ]
    },
    {
        "id": "flow-hard-graph752",
        "image": "data/flow/graph_visual/hard/graph752.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 1 with capacity 4,\nan edge from node 0 to node 15 with capacity 6,\nan edge from node 0 to node 5 with capacity 19,\nan edge from node 0 to node 2 with capacity 5,\nan edge from node 1 to node 14 with capacity 20,\nan edge from node 1 to node 13 with capacity 19,\nan edge from node 1 to node 6 with capacity 7,\nan edge from node 1 to node 4 with capacity 18,\nan edge from node 1 to node 16 with capacity 2,\nan edge from node 1 to node 10 with capacity 19,\nan edge from node 2 to node 7 with capacity 12,\nan edge from node 2 to node 11 with capacity 14,\nan edge from node 2 to node 12 with capacity 16,\nan edge from node 2 to node 9 with capacity 8,\nan edge from node 2 to node 10 with capacity 5,\nan edge from node 3 to node 1 with capacity 9,\nan edge from node 3 to node 7 with capacity 8,\nan edge from node 3 to node 11 with capacity 6,\nan edge from node 3 to node 8 with capacity 7,\nan edge from node 3 to node 15 with capacity 4,\nan edge from node 3 to node 4 with capacity 18,\nan edge from node 3 to node 5 with capacity 6,\nan edge from node 3 to node 0 with capacity 3,\nan edge from node 4 to node 7 with capacity 2,\nan edge from node 5 to node 1 with capacity 17,\nan edge from node 5 to node 6 with capacity 14,\nan edge from node 5 to node 16 with capacity 4,\nan edge from node 6 to node 7 with capacity 1,\nan edge from node 6 to node 11 with capacity 10,\nan edge from node 6 to node 0 with capacity 11,\nan edge from node 7 to node 1 with capacity 5,\nan edge from node 7 to node 8 with capacity 18,\nan edge from node 7 to node 5 with capacity 13,\nan edge from node 7 to node 12 with capacity 1,\nan edge from node 7 to node 10 with capacity 6,\nan edge from node 8 to node 11 with capacity 10,\nan edge from node 8 to node 15 with capacity 20,\nan edge from node 8 to node 3 with capacity 15,\nan edge from node 9 to node 7 with capacity 20,\nan edge from node 9 to node 13 with capacity 6,\nan edge from node 9 to node 5 with capacity 16,\nan edge from node 9 to node 0 with capacity 5,\nan edge from node 9 to node 16 with capacity 9,\nan edge from node 9 to node 10 with capacity 9,\nan edge from node 10 to node 14 with capacity 5,\nan edge from node 11 to node 14 with capacity 20,\nan edge from node 11 to node 1 with capacity 2,\nan edge from node 11 to node 13 with capacity 12,\nan edge from node 11 to node 6 with capacity 10,\nan edge from node 12 to node 1 with capacity 3,\nan edge from node 12 to node 9 with capacity 20,\nan edge from node 13 to node 14 with capacity 11,\nan edge from node 13 to node 5 with capacity 12,\nan edge from node 13 to node 3 with capacity 1,\nan edge from node 14 to node 1 with capacity 9,\nan edge from node 14 to node 5 with capacity 13,\nan edge from node 15 to node 14 with capacity 6,\nan edge from node 15 to node 3 with capacity 5,\nan edge from node 15 to node 10 with capacity 9,\nan edge from node 16 to node 14 with capacity 14,\nan edge from node 16 to node 7 with capacity 5,\nan edge from node 16 to node 15 with capacity 8,\nan edge from node 16 to node 6 with capacity 6,\nan edge from node 16 to node 3 with capacity 10,\nan edge from node 16 to node 9 with capacity 4,\nWhat is the maximum flow from node 6 to node 3:"
            },
            {
                "from": "gpt",
                "value": "20."
            }
        ]
    },
    {
        "id": "flow-hard-graph900",
        "image": "data/flow/graph_visual/hard/graph900.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 15 with capacity 2,\nan edge from node 0 to node 4 with capacity 16,\nan edge from node 0 to node 6 with capacity 20,\nan edge from node 0 to node 1 with capacity 20,\nan edge from node 1 to node 15 with capacity 12,\nan edge from node 1 to node 3 with capacity 16,\nan edge from node 1 to node 10 with capacity 13,\nan edge from node 1 to node 13 with capacity 9,\nan edge from node 1 to node 8 with capacity 6,\nan edge from node 1 to node 9 with capacity 14,\nan edge from node 2 to node 5 with capacity 16,\nan edge from node 2 to node 3 with capacity 16,\nan edge from node 2 to node 12 with capacity 14,\nan edge from node 2 to node 9 with capacity 13,\nan edge from node 3 to node 6 with capacity 1,\nan edge from node 3 to node 10 with capacity 5,\nan edge from node 4 to node 5 with capacity 15,\nan edge from node 4 to node 13 with capacity 5,\nan edge from node 4 to node 12 with capacity 15,\nan edge from node 4 to node 8 with capacity 15,\nan edge from node 4 to node 7 with capacity 13,\nan edge from node 5 to node 11 with capacity 10,\nan edge from node 6 to node 15 with capacity 5,\nan edge from node 6 to node 3 with capacity 8,\nan edge from node 6 to node 11 with capacity 14,\nan edge from node 6 to node 8 with capacity 12,\nan edge from node 6 to node 9 with capacity 8,\nan edge from node 7 to node 5 with capacity 14,\nan edge from node 7 to node 10 with capacity 15,\nan edge from node 7 to node 2 with capacity 14,\nan edge from node 7 to node 13 with capacity 3,\nan edge from node 7 to node 16 with capacity 18,\nan edge from node 8 to node 15 with capacity 7,\nan edge from node 8 to node 12 with capacity 1,\nan edge from node 8 to node 7 with capacity 12,\nan edge from node 9 to node 15 with capacity 18,\nan edge from node 9 to node 2 with capacity 20,\nan edge from node 9 to node 11 with capacity 1,\nan edge from node 9 to node 1 with capacity 4,\nan edge from node 10 to node 4 with capacity 8,\nan edge from node 10 to node 12 with capacity 17,\nan edge from node 10 to node 7 with capacity 11,\nan edge from node 10 to node 17 with capacity 2,\nan edge from node 11 to node 5 with capacity 12,\nan edge from node 11 to node 15 with capacity 20,\nan edge from node 11 to node 4 with capacity 4,\nan edge from node 11 to node 10 with capacity 5,\nan edge from node 11 to node 12 with capacity 8,\nan edge from node 11 to node 1 with capacity 19,\nan edge from node 11 to node 8 with capacity 7,\nan edge from node 11 to node 17 with capacity 20,\nan edge from node 12 to node 3 with capacity 10,\nan edge from node 12 to node 13 with capacity 15,\nan edge from node 12 to node 8 with capacity 18,\nan edge from node 12 to node 7 with capacity 7,\nan edge from node 12 to node 17 with capacity 1,\nan edge from node 13 to node 5 with capacity 14,\nan edge from node 13 to node 15 with capacity 2,\nan edge from node 13 to node 11 with capacity 18,\nan edge from node 13 to node 14 with capacity 14,\nan edge from node 14 to node 5 with capacity 11,\nan edge from node 14 to node 15 with capacity 1,\nan edge from node 14 to node 1 with capacity 8,\nan edge from node 14 to node 8 with capacity 17,\nan edge from node 14 to node 7 with capacity 18,\nan edge from node 14 to node 17 with capacity 12,\nan edge from node 15 to node 5 with capacity 7,\nan edge from node 15 to node 13 with capacity 4,\nan edge from node 16 to node 5 with capacity 6,\nan edge from node 16 to node 15 with capacity 6,\nan edge from node 16 to node 3 with capacity 12,\nan edge from node 16 to node 6 with capacity 6,\nan edge from node 16 to node 9 with capacity 8,\nan edge from node 17 to node 5 with capacity 12,\nan edge from node 17 to node 1 with capacity 4,\nWhat is the maximum flow from node 11 to node 16:"
            },
            {
                "from": "gpt",
                "value": "18."
            }
        ]
    },
    {
        "id": "flow-hard-graph18",
        "image": "data/flow/graph_visual/hard/graph18.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 8 with capacity 16,\nan edge from node 2 to node 10 with capacity 9,\nan edge from node 2 to node 0 with capacity 16,\nan edge from node 3 to node 0 with capacity 1,\nan edge from node 3 to node 6 with capacity 15,\nan edge from node 3 to node 2 with capacity 10,\nan edge from node 4 to node 7 with capacity 15,\nan edge from node 4 to node 5 with capacity 15,\nan edge from node 5 to node 8 with capacity 18,\nan edge from node 5 to node 9 with capacity 13,\nan edge from node 6 to node 7 with capacity 13,\nan edge from node 6 to node 9 with capacity 2,\nan edge from node 7 to node 1 with capacity 19,\nan edge from node 7 to node 9 with capacity 6,\nan edge from node 7 to node 0 with capacity 8,\nan edge from node 7 to node 5 with capacity 8,\nan edge from node 8 to node 9 with capacity 5,\nan edge from node 8 to node 0 with capacity 13,\nan edge from node 9 to node 3 with capacity 4,\nan edge from node 9 to node 5 with capacity 6,\nan edge from node 10 to node 4 with capacity 3,\nan edge from node 10 to node 9 with capacity 8,\nan edge from node 10 to node 0 with capacity 12,\nan edge from node 10 to node 5 with capacity 13,\nWhat is the maximum flow from node 5 to node 1:"
            },
            {
                "from": "gpt",
                "value": "4."
            }
        ]
    },
    {
        "id": "flow-hard-graph13",
        "image": "data/flow/graph_visual/hard/graph13.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 10 with capacity 1,\nan edge from node 3 to node 0 with capacity 17,\nan edge from node 3 to node 2 with capacity 15,\nan edge from node 4 to node 0 with capacity 13,\nan edge from node 4 to node 2 with capacity 14,\nan edge from node 5 to node 1 with capacity 7,\nan edge from node 5 to node 4 with capacity 16,\nan edge from node 6 to node 7 with capacity 19,\nan edge from node 6 to node 10 with capacity 3,\nan edge from node 6 to node 1 with capacity 18,\nan edge from node 6 to node 8 with capacity 10,\nan edge from node 7 to node 8 with capacity 4,\nan edge from node 7 to node 3 with capacity 15,\nan edge from node 8 to node 7 with capacity 18,\nan edge from node 8 to node 0 with capacity 7,\nan edge from node 8 to node 4 with capacity 19,\nan edge from node 8 to node 2 with capacity 14,\nan edge from node 9 to node 1 with capacity 8,\nan edge from node 9 to node 8 with capacity 12,\nan edge from node 9 to node 4 with capacity 7,\nan edge from node 10 to node 8 with capacity 9,\nan edge from node 10 to node 6 with capacity 1,\nan edge from node 10 to node 5 with capacity 18,\nWhat is the maximum flow from node 3 to node 7:"
            },
            {
                "from": "gpt",
                "value": "1."
            }
        ]
    },
    {
        "id": "flow-hard-graph797",
        "image": "data/flow/graph_visual/hard/graph797.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 1 to node 6 with capacity 10,\nan edge from node 1 to node 15 with capacity 4,\nan edge from node 2 to node 6 with capacity 14,\nan edge from node 2 to node 14 with capacity 14,\nan edge from node 2 to node 3 with capacity 14,\nan edge from node 2 to node 10 with capacity 1,\nan edge from node 2 to node 13 with capacity 5,\nan edge from node 2 to node 0 with capacity 4,\nan edge from node 3 to node 6 with capacity 18,\nan edge from node 3 to node 12 with capacity 19,\nan edge from node 3 to node 8 with capacity 6,\nan edge from node 4 to node 14 with capacity 20,\nan edge from node 4 to node 12 with capacity 1,\nan edge from node 4 to node 7 with capacity 14,\nan edge from node 5 to node 4 with capacity 8,\nan edge from node 5 to node 2 with capacity 3,\nan edge from node 6 to node 1 with capacity 13,\nan edge from node 6 to node 4 with capacity 4,\nan edge from node 6 to node 9 with capacity 17,\nan edge from node 6 to node 8 with capacity 16,\nan edge from node 6 to node 16 with capacity 4,\nan edge from node 6 to node 5 with capacity 8,\nan edge from node 7 to node 10 with capacity 4,\nan edge from node 7 to node 13 with capacity 8,\nan edge from node 7 to node 0 with capacity 4,\nan edge from node 8 to node 6 with capacity 19,\nan edge from node 9 to node 11 with capacity 2,\nan edge from node 10 to node 1 with capacity 19,\nan edge from node 10 to node 14 with capacity 11,\nan edge from node 10 to node 3 with capacity 9,\nan edge from node 10 to node 2 with capacity 7,\nan edge from node 10 to node 12 with capacity 17,\nan edge from node 10 to node 13 with capacity 5,\nan edge from node 10 to node 0 with capacity 10,\nan edge from node 11 to node 2 with capacity 20,\nan edge from node 11 to node 9 with capacity 6,\nan edge from node 11 to node 0 with capacity 7,\nan edge from node 11 to node 16 with capacity 14,\nan edge from node 12 to node 4 with capacity 15,\nan edge from node 12 to node 11 with capacity 12,\nan edge from node 12 to node 0 with capacity 1,\nan edge from node 12 to node 16 with capacity 3,\nan edge from node 13 to node 4 with capacity 20,\nan edge from node 13 to node 11 with capacity 16,\nan edge from node 13 to node 5 with capacity 13,\nan edge from node 14 to node 6 with capacity 17,\nan edge from node 14 to node 9 with capacity 13,\nan edge from node 14 to node 7 with capacity 1,\nan edge from node 14 to node 16 with capacity 3,\nan edge from node 15 to node 1 with capacity 9,\nan edge from node 15 to node 4 with capacity 6,\nan edge from node 15 to node 6 with capacity 15,\nan edge from node 15 to node 8 with capacity 1,\nan edge from node 15 to node 7 with capacity 4,\nan edge from node 16 to node 1 with capacity 15,\nan edge from node 16 to node 2 with capacity 19,\nan edge from node 16 to node 10 with capacity 12,\nWhat is the maximum flow from node 6 to node 9:"
            },
            {
                "from": "gpt",
                "value": "36."
            }
        ]
    },
    {
        "id": "flow-hard-graph862",
        "image": "data/flow/graph_visual/hard/graph862.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 8 with capacity 9,\nan edge from node 0 to node 9 with capacity 8,\nan edge from node 0 to node 13 with capacity 17,\nan edge from node 0 to node 15 with capacity 2,\nan edge from node 0 to node 11 with capacity 8,\nan edge from node 1 to node 7 with capacity 18,\nan edge from node 1 to node 12 with capacity 6,\nan edge from node 1 to node 6 with capacity 7,\nan edge from node 1 to node 5 with capacity 6,\nan edge from node 2 to node 7 with capacity 9,\nan edge from node 2 to node 12 with capacity 12,\nan edge from node 2 to node 5 with capacity 7,\nan edge from node 2 to node 0 with capacity 6,\nan edge from node 2 to node 1 with capacity 9,\nan edge from node 3 to node 16 with capacity 20,\nan edge from node 3 to node 8 with capacity 6,\nan edge from node 3 to node 12 with capacity 5,\nan edge from node 3 to node 2 with capacity 10,\nan edge from node 4 to node 8 with capacity 7,\nan edge from node 4 to node 2 with capacity 13,\nan edge from node 4 to node 5 with capacity 6,\nan edge from node 4 to node 1 with capacity 20,\nan edge from node 5 to node 13 with capacity 14,\nan edge from node 5 to node 6 with capacity 20,\nan edge from node 5 to node 11 with capacity 10,\nan edge from node 6 to node 16 with capacity 17,\nan edge from node 6 to node 13 with capacity 14,\nan edge from node 6 to node 14 with capacity 3,\nan edge from node 6 to node 4 with capacity 12,\nan edge from node 6 to node 10 with capacity 18,\nan edge from node 6 to node 2 with capacity 9,\nan edge from node 6 to node 5 with capacity 14,\nan edge from node 7 to node 16 with capacity 1,\nan edge from node 7 to node 8 with capacity 15,\nan edge from node 7 to node 6 with capacity 9,\nan edge from node 8 to node 16 with capacity 11,\nan edge from node 8 to node 2 with capacity 10,\nan edge from node 8 to node 0 with capacity 17,\nan edge from node 9 to node 16 with capacity 17,\nan edge from node 9 to node 12 with capacity 13,\nan edge from node 9 to node 13 with capacity 17,\nan edge from node 9 to node 10 with capacity 4,\nan edge from node 9 to node 2 with capacity 2,\nan edge from node 9 to node 0 with capacity 1,\nan edge from node 10 to node 12 with capacity 12,\nan edge from node 10 to node 14 with capacity 10,\nan edge from node 10 to node 4 with capacity 15,\nan edge from node 10 to node 6 with capacity 18,\nan edge from node 10 to node 11 with capacity 2,\nan edge from node 11 to node 15 with capacity 11,\nan edge from node 12 to node 8 with capacity 1,\nan edge from node 12 to node 9 with capacity 16,\nan edge from node 12 to node 14 with capacity 4,\nan edge from node 12 to node 4 with capacity 4,\nan edge from node 12 to node 17 with capacity 2,\nan edge from node 12 to node 11 with capacity 7,\nan edge from node 12 to node 0 with capacity 1,\nan edge from node 13 to node 16 with capacity 17,\nan edge from node 13 to node 3 with capacity 16,\nan edge from node 13 to node 4 with capacity 8,\nan edge from node 13 to node 5 with capacity 8,\nan edge from node 14 to node 7 with capacity 1,\nan edge from node 14 to node 15 with capacity 11,\nan edge from node 14 to node 6 with capacity 19,\nan edge from node 14 to node 5 with capacity 8,\nan edge from node 15 to node 16 with capacity 19,\nan edge from node 15 to node 13 with capacity 15,\nan edge from node 15 to node 6 with capacity 9,\nan edge from node 15 to node 5 with capacity 6,\nan edge from node 16 to node 14 with capacity 18,\nan edge from node 16 to node 4 with capacity 2,\nan edge from node 17 to node 7 with capacity 1,\nan edge from node 17 to node 3 with capacity 1,\nan edge from node 17 to node 14 with capacity 5,\nan edge from node 17 to node 10 with capacity 14,\nan edge from node 17 to node 11 with capacity 4,\nan edge from node 17 to node 0 with capacity 1,\nWhat is the maximum flow from node 15 to node 4:"
            },
            {
                "from": "gpt",
                "value": "41."
            }
        ]
    },
    {
        "id": "flow-hard-graph205",
        "image": "data/flow/graph_visual/hard/graph205.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 3 with capacity 10,\nan edge from node 1 to node 4 with capacity 17,\nan edge from node 1 to node 2 with capacity 14,\nan edge from node 2 to node 0 with capacity 18,\nan edge from node 3 to node 9 with capacity 15,\nan edge from node 3 to node 0 with capacity 12,\nan edge from node 3 to node 10 with capacity 15,\nan edge from node 4 to node 1 with capacity 3,\nan edge from node 4 to node 3 with capacity 15,\nan edge from node 5 to node 9 with capacity 1,\nan edge from node 5 to node 3 with capacity 16,\nan edge from node 6 to node 9 with capacity 4,\nan edge from node 6 to node 5 with capacity 9,\nan edge from node 6 to node 0 with capacity 12,\nan edge from node 6 to node 11 with capacity 7,\nan edge from node 8 to node 5 with capacity 7,\nan edge from node 9 to node 0 with capacity 4,\nan edge from node 9 to node 4 with capacity 7,\nan edge from node 9 to node 11 with capacity 10,\nan edge from node 10 to node 0 with capacity 20,\nan edge from node 10 to node 2 with capacity 3,\nan edge from node 10 to node 11 with capacity 9,\nan edge from node 10 to node 6 with capacity 18,\nan edge from node 10 to node 3 with capacity 17,\nan edge from node 10 to node 7 with capacity 8,\nan edge from node 11 to node 7 with capacity 13,\nWhat is the maximum flow from node 8 to node 3:"
            },
            {
                "from": "gpt",
                "value": "7."
            }
        ]
    },
    {
        "id": "flow-hard-graph587",
        "image": "data/flow/graph_visual/hard/graph587.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 5 with capacity 7,\nan edge from node 1 to node 0 with capacity 5,\nan edge from node 1 to node 5 with capacity 9,\nan edge from node 1 to node 2 with capacity 8,\nan edge from node 2 to node 14 with capacity 19,\nan edge from node 2 to node 11 with capacity 8,\nan edge from node 2 to node 10 with capacity 14,\nan edge from node 2 to node 13 with capacity 15,\nan edge from node 3 to node 14 with capacity 20,\nan edge from node 3 to node 9 with capacity 1,\nan edge from node 4 to node 11 with capacity 15,\nan edge from node 4 to node 9 with capacity 13,\nan edge from node 4 to node 10 with capacity 5,\nan edge from node 4 to node 2 with capacity 2,\nan edge from node 5 to node 8 with capacity 2,\nan edge from node 5 to node 6 with capacity 5,\nan edge from node 5 to node 10 with capacity 18,\nan edge from node 5 to node 3 with capacity 1,\nan edge from node 5 to node 13 with capacity 12,\nan edge from node 5 to node 7 with capacity 4,\nan edge from node 5 to node 4 with capacity 20,\nan edge from node 6 to node 9 with capacity 9,\nan edge from node 6 to node 13 with capacity 7,\nan edge from node 6 to node 4 with capacity 2,\nan edge from node 6 to node 2 with capacity 20,\nan edge from node 6 to node 1 with capacity 18,\nan edge from node 7 to node 0 with capacity 2,\nan edge from node 7 to node 6 with capacity 14,\nan edge from node 7 to node 9 with capacity 12,\nan edge from node 7 to node 13 with capacity 9,\nan edge from node 8 to node 9 with capacity 1,\nan edge from node 8 to node 3 with capacity 6,\nan edge from node 8 to node 1 with capacity 20,\nan edge from node 9 to node 14 with capacity 6,\nan edge from node 9 to node 8 with capacity 5,\nan edge from node 9 to node 2 with capacity 15,\nan edge from node 10 to node 9 with capacity 20,\nan edge from node 10 to node 13 with capacity 2,\nan edge from node 10 to node 4 with capacity 2,\nan edge from node 10 to node 1 with capacity 17,\nan edge from node 11 to node 14 with capacity 9,\nan edge from node 11 to node 8 with capacity 15,\nan edge from node 11 to node 6 with capacity 9,\nan edge from node 11 to node 10 with capacity 16,\nan edge from node 11 to node 3 with capacity 1,\nan edge from node 11 to node 13 with capacity 10,\nan edge from node 11 to node 2 with capacity 11,\nan edge from node 11 to node 12 with capacity 12,\nan edge from node 12 to node 14 with capacity 18,\nan edge from node 12 to node 11 with capacity 1,\nan edge from node 12 to node 6 with capacity 8,\nan edge from node 12 to node 13 with capacity 18,\nan edge from node 12 to node 4 with capacity 2,\nan edge from node 12 to node 1 with capacity 10,\nan edge from node 13 to node 14 with capacity 8,\nan edge from node 13 to node 6 with capacity 2,\nan edge from node 13 to node 10 with capacity 5,\nan edge from node 13 to node 3 with capacity 12,\nan edge from node 13 to node 7 with capacity 19,\nan edge from node 13 to node 12 with capacity 9,\nan edge from node 13 to node 1 with capacity 3,\nan edge from node 14 to node 11 with capacity 11,\nan edge from node 14 to node 7 with capacity 16,\nWhat is the maximum flow from node 13 to node 2:"
            },
            {
                "from": "gpt",
                "value": "56."
            }
        ]
    },
    {
        "id": "flow-hard-graph475",
        "image": "data/flow/graph_visual/hard/graph475.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 11 with capacity 16,\nan edge from node 0 to node 10 with capacity 12,\nan edge from node 0 to node 13 with capacity 12,\nan edge from node 1 to node 6 with capacity 12,\nan edge from node 1 to node 10 with capacity 1,\nan edge from node 1 to node 2 with capacity 13,\nan edge from node 1 to node 0 with capacity 19,\nan edge from node 2 to node 0 with capacity 20,\nan edge from node 2 to node 7 with capacity 15,\nan edge from node 3 to node 11 with capacity 2,\nan edge from node 3 to node 6 with capacity 20,\nan edge from node 3 to node 5 with capacity 7,\nan edge from node 3 to node 0 with capacity 6,\nan edge from node 3 to node 9 with capacity 9,\nan edge from node 4 to node 5 with capacity 13,\nan edge from node 5 to node 10 with capacity 12,\nan edge from node 5 to node 3 with capacity 20,\nan edge from node 5 to node 9 with capacity 5,\nan edge from node 6 to node 8 with capacity 9,\nan edge from node 6 to node 0 with capacity 11,\nan edge from node 6 to node 3 with capacity 20,\nan edge from node 7 to node 0 with capacity 8,\nan edge from node 7 to node 13 with capacity 4,\nan edge from node 8 to node 5 with capacity 9,\nan edge from node 8 to node 0 with capacity 14,\nan edge from node 8 to node 4 with capacity 8,\nan edge from node 9 to node 11 with capacity 7,\nan edge from node 9 to node 12 with capacity 9,\nan edge from node 10 to node 6 with capacity 16,\nan edge from node 10 to node 5 with capacity 12,\nan edge from node 10 to node 7 with capacity 19,\nan edge from node 10 to node 4 with capacity 9,\nan edge from node 11 to node 2 with capacity 3,\nan edge from node 11 to node 7 with capacity 3,\nan edge from node 12 to node 8 with capacity 2,\nan edge from node 13 to node 5 with capacity 16,\nWhat is the maximum flow from node 7 to node 2:"
            },
            {
                "from": "gpt",
                "value": "3."
            }
        ]
    },
    {
        "id": "flow-hard-graph487",
        "image": "data/flow/graph_visual/hard/graph487.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 12 with capacity 10,\nan edge from node 0 to node 10 with capacity 17,\nan edge from node 0 to node 9 with capacity 17,\nan edge from node 1 to node 3 with capacity 2,\nan edge from node 1 to node 7 with capacity 12,\nan edge from node 2 to node 4 with capacity 5,\nan edge from node 3 to node 12 with capacity 1,\nan edge from node 3 to node 13 with capacity 1,\nan edge from node 3 to node 11 with capacity 6,\nan edge from node 3 to node 7 with capacity 15,\nan edge from node 3 to node 5 with capacity 11,\nan edge from node 4 to node 1 with capacity 17,\nan edge from node 4 to node 13 with capacity 2,\nan edge from node 4 to node 9 with capacity 15,\nan edge from node 5 to node 12 with capacity 13,\nan edge from node 5 to node 1 with capacity 10,\nan edge from node 5 to node 3 with capacity 12,\nan edge from node 5 to node 0 with capacity 17,\nan edge from node 5 to node 13 with capacity 1,\nan edge from node 5 to node 11 with capacity 18,\nan edge from node 5 to node 7 with capacity 10,\nan edge from node 7 to node 3 with capacity 16,\nan edge from node 7 to node 13 with capacity 13,\nan edge from node 7 to node 14 with capacity 1,\nan edge from node 7 to node 8 with capacity 13,\nan edge from node 8 to node 12 with capacity 1,\nan edge from node 8 to node 1 with capacity 7,\nan edge from node 8 to node 3 with capacity 6,\nan edge from node 8 to node 0 with capacity 7,\nan edge from node 9 to node 6 with capacity 2,\nan edge from node 9 to node 1 with capacity 11,\nan edge from node 9 to node 3 with capacity 18,\nan edge from node 9 to node 0 with capacity 10,\nan edge from node 9 to node 4 with capacity 11,\nan edge from node 9 to node 7 with capacity 4,\nan edge from node 10 to node 1 with capacity 8,\nan edge from node 10 to node 8 with capacity 2,\nan edge from node 11 to node 6 with capacity 1,\nan edge from node 11 to node 3 with capacity 18,\nan edge from node 11 to node 13 with capacity 17,\nan edge from node 11 to node 7 with capacity 1,\nan edge from node 12 to node 0 with capacity 1,\nan edge from node 13 to node 1 with capacity 2,\nan edge from node 13 to node 5 with capacity 10,\nWhat is the maximum flow from node 9 to node 12:"
            },
            {
                "from": "gpt",
                "value": "25."
            }
        ]
    },
    {
        "id": "flow-hard-graph106",
        "image": "data/flow/graph_visual/hard/graph106.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 4 with capacity 18,\nan edge from node 0 to node 1 with capacity 14,\nan edge from node 1 to node 7 with capacity 19,\nan edge from node 2 to node 7 with capacity 2,\nan edge from node 2 to node 0 with capacity 11,\nan edge from node 3 to node 7 with capacity 1,\nan edge from node 3 to node 5 with capacity 5,\nan edge from node 5 to node 6 with capacity 8,\nan edge from node 5 to node 9 with capacity 7,\nan edge from node 5 to node 10 with capacity 6,\nan edge from node 5 to node 8 with capacity 4,\nan edge from node 6 to node 9 with capacity 10,\nan edge from node 6 to node 2 with capacity 10,\nan edge from node 6 to node 1 with capacity 20,\nan edge from node 6 to node 5 with capacity 20,\nan edge from node 6 to node 8 with capacity 12,\nan edge from node 8 to node 6 with capacity 10,\nan edge from node 8 to node 9 with capacity 2,\nan edge from node 8 to node 2 with capacity 12,\nan edge from node 8 to node 1 with capacity 15,\nan edge from node 8 to node 5 with capacity 12,\nan edge from node 9 to node 4 with capacity 14,\nan edge from node 9 to node 10 with capacity 19,\nan edge from node 10 to node 9 with capacity 17,\nan edge from node 10 to node 2 with capacity 20,\nan edge from node 10 to node 1 with capacity 4,\nWhat is the maximum flow from node 10 to node 7:"
            },
            {
                "from": "gpt",
                "value": "17."
            }
        ]
    },
    {
        "id": "flow-hard-graph605",
        "image": "data/flow/graph_visual/hard/graph605.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 6 with capacity 14,\nan edge from node 1 to node 4 with capacity 10,\nan edge from node 1 to node 7 with capacity 19,\nan edge from node 1 to node 12 with capacity 15,\nan edge from node 1 to node 11 with capacity 5,\nan edge from node 1 to node 8 with capacity 17,\nan edge from node 2 to node 15 with capacity 11,\nan edge from node 2 to node 6 with capacity 20,\nan edge from node 2 to node 3 with capacity 10,\nan edge from node 2 to node 1 with capacity 9,\nan edge from node 2 to node 14 with capacity 10,\nan edge from node 2 to node 13 with capacity 14,\nan edge from node 2 to node 12 with capacity 14,\nan edge from node 2 to node 8 with capacity 13,\nan edge from node 3 to node 15 with capacity 8,\nan edge from node 3 to node 13 with capacity 7,\nan edge from node 3 to node 0 with capacity 4,\nan edge from node 4 to node 6 with capacity 6,\nan edge from node 4 to node 1 with capacity 13,\nan edge from node 5 to node 4 with capacity 6,\nan edge from node 5 to node 8 with capacity 19,\nan edge from node 6 to node 15 with capacity 19,\nan edge from node 6 to node 7 with capacity 12,\nan edge from node 6 to node 3 with capacity 8,\nan edge from node 6 to node 13 with capacity 14,\nan edge from node 6 to node 12 with capacity 17,\nan edge from node 6 to node 11 with capacity 7,\nan edge from node 7 to node 1 with capacity 1,\nan edge from node 7 to node 2 with capacity 15,\nan edge from node 7 to node 0 with capacity 18,\nan edge from node 8 to node 12 with capacity 6,\nan edge from node 8 to node 2 with capacity 18,\nan edge from node 9 to node 4 with capacity 8,\nan edge from node 9 to node 10 with capacity 12,\nan edge from node 9 to node 5 with capacity 11,\nan edge from node 9 to node 3 with capacity 13,\nan edge from node 10 to node 5 with capacity 3,\nan edge from node 10 to node 7 with capacity 3,\nan edge from node 10 to node 1 with capacity 6,\nan edge from node 10 to node 14 with capacity 10,\nan edge from node 10 to node 12 with capacity 9,\nan edge from node 11 to node 4 with capacity 7,\nan edge from node 11 to node 10 with capacity 20,\nan edge from node 11 to node 13 with capacity 5,\nan edge from node 11 to node 8 with capacity 18,\nan edge from node 12 to node 5 with capacity 10,\nan edge from node 12 to node 3 with capacity 12,\nan edge from node 12 to node 14 with capacity 16,\nan edge from node 12 to node 8 with capacity 7,\nan edge from node 13 to node 5 with capacity 4,\nan edge from node 13 to node 1 with capacity 12,\nan edge from node 13 to node 0 with capacity 20,\nan edge from node 13 to node 8 with capacity 2,\nan edge from node 14 to node 15 with capacity 3,\nan edge from node 14 to node 7 with capacity 18,\nan edge from node 14 to node 3 with capacity 19,\nan edge from node 14 to node 8 with capacity 7,\nan edge from node 15 to node 13 with capacity 5,\nWhat is the maximum flow from node 9 to node 1:"
            },
            {
                "from": "gpt",
                "value": "41."
            }
        ]
    },
    {
        "id": "flow-hard-graph189",
        "image": "data/flow/graph_visual/hard/graph189.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 8 with capacity 15,\nan edge from node 0 to node 9 with capacity 7,\nan edge from node 0 to node 11 with capacity 12,\nan edge from node 1 to node 6 with capacity 15,\nan edge from node 1 to node 0 with capacity 18,\nan edge from node 1 to node 8 with capacity 2,\nan edge from node 1 to node 9 with capacity 11,\nan edge from node 1 to node 11 with capacity 6,\nan edge from node 1 to node 10 with capacity 20,\nan edge from node 1 to node 4 with capacity 13,\nan edge from node 2 to node 6 with capacity 5,\nan edge from node 2 to node 10 with capacity 14,\nan edge from node 2 to node 4 with capacity 1,\nan edge from node 3 to node 1 with capacity 5,\nan edge from node 3 to node 7 with capacity 3,\nan edge from node 3 to node 2 with capacity 15,\nan edge from node 4 to node 1 with capacity 1,\nan edge from node 4 to node 6 with capacity 16,\nan edge from node 4 to node 7 with capacity 11,\nan edge from node 4 to node 2 with capacity 2,\nan edge from node 4 to node 11 with capacity 9,\nan edge from node 4 to node 10 with capacity 7,\nan edge from node 5 to node 0 with capacity 20,\nan edge from node 5 to node 11 with capacity 8,\nan edge from node 5 to node 3 with capacity 10,\nan edge from node 5 to node 4 with capacity 18,\nan edge from node 6 to node 7 with capacity 17,\nan edge from node 6 to node 9 with capacity 14,\nan edge from node 6 to node 5 with capacity 1,\nan edge from node 6 to node 2 with capacity 18,\nan edge from node 7 to node 11 with capacity 8,\nan edge from node 7 to node 10 with capacity 2,\nan edge from node 8 to node 1 with capacity 9,\nan edge from node 8 to node 5 with capacity 20,\nan edge from node 8 to node 2 with capacity 8,\nan edge from node 8 to node 4 with capacity 13,\nan edge from node 9 to node 8 with capacity 15,\nan edge from node 9 to node 2 with capacity 8,\nan edge from node 9 to node 3 with capacity 1,\nan edge from node 10 to node 6 with capacity 3,\nan edge from node 10 to node 0 with capacity 9,\nan edge from node 10 to node 2 with capacity 13,\nan edge from node 10 to node 11 with capacity 12,\nan edge from node 11 to node 1 with capacity 1,\nan edge from node 11 to node 0 with capacity 2,\nan edge from node 11 to node 10 with capacity 18,\nWhat is the maximum flow from node 8 to node 6:"
            },
            {
                "from": "gpt",
                "value": "39."
            }
        ]
    },
    {
        "id": "flow-hard-graph833",
        "image": "data/flow/graph_visual/hard/graph833.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 13 with capacity 6,\nan edge from node 0 to node 5 with capacity 2,\nan edge from node 0 to node 1 with capacity 10,\nan edge from node 0 to node 11 with capacity 2,\nan edge from node 0 to node 9 with capacity 12,\nan edge from node 1 to node 16 with capacity 10,\nan edge from node 1 to node 6 with capacity 18,\nan edge from node 2 to node 5 with capacity 2,\nan edge from node 2 to node 7 with capacity 5,\nan edge from node 2 to node 16 with capacity 17,\nan edge from node 3 to node 8 with capacity 10,\nan edge from node 3 to node 13 with capacity 8,\nan edge from node 3 to node 5 with capacity 13,\nan edge from node 3 to node 12 with capacity 4,\nan edge from node 3 to node 1 with capacity 17,\nan edge from node 3 to node 7 with capacity 20,\nan edge from node 3 to node 10 with capacity 17,\nan edge from node 3 to node 16 with capacity 16,\nan edge from node 4 to node 13 with capacity 9,\nan edge from node 4 to node 15 with capacity 16,\nan edge from node 4 to node 14 with capacity 6,\nan edge from node 4 to node 12 with capacity 7,\nan edge from node 4 to node 7 with capacity 19,\nan edge from node 4 to node 16 with capacity 5,\nan edge from node 5 to node 15 with capacity 4,\nan edge from node 5 to node 2 with capacity 7,\nan edge from node 5 to node 7 with capacity 3,\nan edge from node 6 to node 3 with capacity 11,\nan edge from node 6 to node 0 with capacity 10,\nan edge from node 6 to node 13 with capacity 11,\nan edge from node 6 to node 16 with capacity 14,\nan edge from node 7 to node 4 with capacity 3,\nan edge from node 7 to node 5 with capacity 2,\nan edge from node 7 to node 2 with capacity 18,\nan edge from node 7 to node 1 with capacity 2,\nan edge from node 8 to node 13 with capacity 6,\nan edge from node 8 to node 5 with capacity 1,\nan edge from node 8 to node 7 with capacity 8,\nan edge from node 9 to node 15 with capacity 5,\nan edge from node 9 to node 5 with capacity 18,\nan edge from node 9 to node 7 with capacity 9,\nan edge from node 9 to node 11 with capacity 19,\nan edge from node 10 to node 4 with capacity 4,\nan edge from node 10 to node 15 with capacity 14,\nan edge from node 10 to node 14 with capacity 11,\nan edge from node 10 to node 7 with capacity 1,\nan edge from node 10 to node 11 with capacity 8,\nan edge from node 10 to node 16 with capacity 12,\nan edge from node 10 to node 6 with capacity 10,\nan edge from node 11 to node 13 with capacity 8,\nan edge from node 12 to node 8 with capacity 2,\nan edge from node 12 to node 14 with capacity 20,\nan edge from node 12 to node 11 with capacity 14,\nan edge from node 12 to node 10 with capacity 18,\nan edge from node 12 to node 9 with capacity 2,\nan edge from node 13 to node 8 with capacity 18,\nan edge from node 13 to node 0 with capacity 10,\nan edge from node 13 to node 5 with capacity 15,\nan edge from node 13 to node 1 with capacity 3,\nan edge from node 13 to node 10 with capacity 5,\nan edge from node 13 to node 6 with capacity 6,\nan edge from node 14 to node 0 with capacity 14,\nan edge from node 14 to node 13 with capacity 7,\nan edge from node 14 to node 12 with capacity 17,\nan edge from node 14 to node 1 with capacity 4,\nan edge from node 14 to node 10 with capacity 2,\nan edge from node 14 to node 16 with capacity 2,\nan edge from node 15 to node 7 with capacity 7,\nan edge from node 16 to node 3 with capacity 7,\nan edge from node 16 to node 13 with capacity 12,\nan edge from node 16 to node 12 with capacity 19,\nan edge from node 16 to node 7 with capacity 1,\nan edge from node 16 to node 6 with capacity 17,\nWhat is the maximum flow from node 1 to node 14:"
            },
            {
                "from": "gpt",
                "value": "28."
            }
        ]
    },
    {
        "id": "flow-hard-graph915",
        "image": "data/flow/graph_visual/hard/graph915.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 2 with capacity 20,\nan edge from node 0 to node 4 with capacity 6,\nan edge from node 0 to node 8 with capacity 12,\nan edge from node 1 to node 6 with capacity 17,\nan edge from node 1 to node 16 with capacity 5,\nan edge from node 1 to node 15 with capacity 3,\nan edge from node 1 to node 9 with capacity 8,\nan edge from node 1 to node 8 with capacity 13,\nan edge from node 2 to node 5 with capacity 4,\nan edge from node 2 to node 14 with capacity 2,\nan edge from node 2 to node 0 with capacity 20,\nan edge from node 2 to node 9 with capacity 15,\nan edge from node 2 to node 3 with capacity 5,\nan edge from node 3 to node 13 with capacity 18,\nan edge from node 3 to node 17 with capacity 20,\nan edge from node 3 to node 2 with capacity 13,\nan edge from node 3 to node 8 with capacity 9,\nan edge from node 4 to node 16 with capacity 16,\nan edge from node 4 to node 14 with capacity 4,\nan edge from node 4 to node 0 with capacity 8,\nan edge from node 4 to node 9 with capacity 17,\nan edge from node 4 to node 2 with capacity 5,\nan edge from node 4 to node 12 with capacity 4,\nan edge from node 4 to node 8 with capacity 3,\nan edge from node 5 to node 13 with capacity 17,\nan edge from node 5 to node 14 with capacity 8,\nan edge from node 5 to node 17 with capacity 15,\nan edge from node 5 to node 15 with capacity 8,\nan edge from node 5 to node 12 with capacity 2,\nan edge from node 6 to node 10 with capacity 1,\nan edge from node 6 to node 13 with capacity 5,\nan edge from node 6 to node 17 with capacity 11,\nan edge from node 6 to node 9 with capacity 18,\nan edge from node 7 to node 11 with capacity 13,\nan edge from node 7 to node 13 with capacity 6,\nan edge from node 7 to node 17 with capacity 9,\nan edge from node 7 to node 3 with capacity 9,\nan edge from node 8 to node 13 with capacity 2,\nan edge from node 8 to node 6 with capacity 10,\nan edge from node 8 to node 14 with capacity 12,\nan edge from node 8 to node 17 with capacity 12,\nan edge from node 8 to node 0 with capacity 9,\nan edge from node 8 to node 9 with capacity 6,\nan edge from node 8 to node 7 with capacity 20,\nan edge from node 9 to node 10 with capacity 8,\nan edge from node 9 to node 1 with capacity 13,\nan edge from node 9 to node 2 with capacity 7,\nan edge from node 9 to node 4 with capacity 4,\nan edge from node 9 to node 7 with capacity 1,\nan edge from node 10 to node 11 with capacity 9,\nan edge from node 10 to node 12 with capacity 4,\nan edge from node 11 to node 10 with capacity 12,\nan edge from node 11 to node 6 with capacity 17,\nan edge from node 11 to node 16 with capacity 16,\nan edge from node 12 to node 6 with capacity 9,\nan edge from node 12 to node 17 with capacity 10,\nan edge from node 12 to node 2 with capacity 2,\nan edge from node 12 to node 4 with capacity 19,\nan edge from node 13 to node 17 with capacity 15,\nan edge from node 13 to node 0 with capacity 6,\nan edge from node 13 to node 3 with capacity 14,\nan edge from node 14 to node 5 with capacity 17,\nan edge from node 14 to node 10 with capacity 13,\nan edge from node 14 to node 13 with capacity 16,\nan edge from node 14 to node 6 with capacity 11,\nan edge from node 14 to node 0 with capacity 3,\nan edge from node 14 to node 2 with capacity 2,\nan edge from node 14 to node 12 with capacity 5,\nan edge from node 14 to node 8 with capacity 6,\nan edge from node 14 to node 7 with capacity 2,\nan edge from node 15 to node 10 with capacity 11,\nan edge from node 15 to node 14 with capacity 11,\nan edge from node 15 to node 17 with capacity 18,\nan edge from node 15 to node 1 with capacity 2,\nan edge from node 15 to node 4 with capacity 5,\nan edge from node 15 to node 7 with capacity 4,\nan edge from node 16 to node 10 with capacity 8,\nan edge from node 16 to node 3 with capacity 19,\nan edge from node 17 to node 13 with capacity 12,\nan edge from node 17 to node 6 with capacity 9,\nan edge from node 17 to node 7 with capacity 2,\nWhat is the maximum flow from node 11 to node 0:"
            },
            {
                "from": "gpt",
                "value": "37."
            }
        ]
    },
    {
        "id": "flow-hard-graph786",
        "image": "data/flow/graph_visual/hard/graph786.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 16 with capacity 7,\nan edge from node 0 to node 7 with capacity 19,\nan edge from node 0 to node 2 with capacity 11,\nan edge from node 0 to node 5 with capacity 18,\nan edge from node 1 to node 7 with capacity 10,\nan edge from node 1 to node 4 with capacity 11,\nan edge from node 1 to node 3 with capacity 1,\nan edge from node 1 to node 13 with capacity 3,\nan edge from node 1 to node 10 with capacity 16,\nan edge from node 2 to node 6 with capacity 16,\nan edge from node 2 to node 7 with capacity 8,\nan edge from node 2 to node 8 with capacity 3,\nan edge from node 2 to node 10 with capacity 10,\nan edge from node 2 to node 9 with capacity 4,\nan edge from node 3 to node 14 with capacity 4,\nan edge from node 3 to node 4 with capacity 18,\nan edge from node 3 to node 2 with capacity 2,\nan edge from node 3 to node 0 with capacity 3,\nan edge from node 3 to node 13 with capacity 11,\nan edge from node 3 to node 9 with capacity 1,\nan edge from node 4 to node 16 with capacity 14,\nan edge from node 4 to node 1 with capacity 17,\nan edge from node 4 to node 12 with capacity 16,\nan edge from node 4 to node 8 with capacity 5,\nan edge from node 4 to node 13 with capacity 20,\nan edge from node 5 to node 1 with capacity 20,\nan edge from node 5 to node 14 with capacity 11,\nan edge from node 5 to node 7 with capacity 16,\nan edge from node 5 to node 10 with capacity 18,\nan edge from node 6 to node 16 with capacity 20,\nan edge from node 6 to node 1 with capacity 10,\nan edge from node 6 to node 14 with capacity 1,\nan edge from node 6 to node 0 with capacity 6,\nan edge from node 6 to node 12 with capacity 7,\nan edge from node 6 to node 5 with capacity 2,\nan edge from node 7 to node 1 with capacity 15,\nan edge from node 7 to node 6 with capacity 12,\nan edge from node 7 to node 0 with capacity 1,\nan edge from node 8 to node 16 with capacity 6,\nan edge from node 8 to node 1 with capacity 13,\nan edge from node 8 to node 11 with capacity 7,\nan edge from node 8 to node 2 with capacity 14,\nan edge from node 8 to node 3 with capacity 10,\nan edge from node 8 to node 10 with capacity 11,\nan edge from node 8 to node 9 with capacity 4,\nan edge from node 9 to node 14 with capacity 17,\nan edge from node 9 to node 0 with capacity 2,\nan edge from node 9 to node 12 with capacity 15,\nan edge from node 10 to node 16 with capacity 20,\nan edge from node 10 to node 7 with capacity 19,\nan edge from node 10 to node 2 with capacity 17,\nan edge from node 10 to node 8 with capacity 20,\nan edge from node 10 to node 3 with capacity 17,\nan edge from node 10 to node 15 with capacity 6,\nan edge from node 11 to node 1 with capacity 9,\nan edge from node 11 to node 14 with capacity 14,\nan edge from node 11 to node 0 with capacity 16,\nan edge from node 12 to node 11 with capacity 10,\nan edge from node 12 to node 13 with capacity 14,\nan edge from node 13 to node 11 with capacity 9,\nan edge from node 13 to node 6 with capacity 13,\nan edge from node 13 to node 14 with capacity 13,\nan edge from node 13 to node 0 with capacity 6,\nan edge from node 13 to node 3 with capacity 6,\nan edge from node 14 to node 1 with capacity 12,\nan edge from node 14 to node 6 with capacity 20,\nan edge from node 14 to node 8 with capacity 17,\nan edge from node 14 to node 3 with capacity 7,\nan edge from node 14 to node 13 with capacity 20,\nan edge from node 15 to node 1 with capacity 5,\nan edge from node 15 to node 11 with capacity 9,\nan edge from node 15 to node 14 with capacity 3,\nan edge from node 15 to node 2 with capacity 17,\nan edge from node 15 to node 12 with capacity 20,\nan edge from node 16 to node 7 with capacity 19,\nan edge from node 16 to node 2 with capacity 7,\nan edge from node 16 to node 3 with capacity 9,\nan edge from node 16 to node 13 with capacity 14,\nan edge from node 16 to node 15 with capacity 4,\nWhat is the maximum flow from node 1 to node 0:"
            },
            {
                "from": "gpt",
                "value": "34."
            }
        ]
    },
    {
        "id": "flow-hard-graph739",
        "image": "data/flow/graph_visual/hard/graph739.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 13 with capacity 14,\nan edge from node 0 to node 7 with capacity 15,\nan edge from node 1 to node 4 with capacity 11,\nan edge from node 1 to node 16 with capacity 18,\nan edge from node 2 to node 11 with capacity 19,\nan edge from node 2 to node 7 with capacity 5,\nan edge from node 2 to node 9 with capacity 6,\nan edge from node 2 to node 0 with capacity 4,\nan edge from node 3 to node 13 with capacity 2,\nan edge from node 3 to node 4 with capacity 3,\nan edge from node 3 to node 9 with capacity 18,\nan edge from node 3 to node 0 with capacity 15,\nan edge from node 3 to node 16 with capacity 17,\nan edge from node 3 to node 5 with capacity 17,\nan edge from node 3 to node 12 with capacity 15,\nan edge from node 4 to node 13 with capacity 10,\nan edge from node 4 to node 1 with capacity 1,\nan edge from node 4 to node 9 with capacity 20,\nan edge from node 4 to node 5 with capacity 16,\nan edge from node 4 to node 14 with capacity 8,\nan edge from node 5 to node 13 with capacity 16,\nan edge from node 5 to node 1 with capacity 4,\nan edge from node 5 to node 10 with capacity 9,\nan edge from node 5 to node 9 with capacity 6,\nan edge from node 5 to node 14 with capacity 12,\nan edge from node 5 to node 12 with capacity 18,\nan edge from node 6 to node 11 with capacity 8,\nan edge from node 6 to node 8 with capacity 11,\nan edge from node 6 to node 3 with capacity 5,\nan edge from node 6 to node 0 with capacity 7,\nan edge from node 6 to node 15 with capacity 9,\nan edge from node 6 to node 12 with capacity 20,\nan edge from node 7 to node 11 with capacity 13,\nan edge from node 7 to node 9 with capacity 17,\nan edge from node 7 to node 3 with capacity 5,\nan edge from node 7 to node 15 with capacity 13,\nan edge from node 7 to node 16 with capacity 16,\nan edge from node 7 to node 5 with capacity 3,\nan edge from node 7 to node 14 with capacity 11,\nan edge from node 8 to node 11 with capacity 17,\nan edge from node 8 to node 9 with capacity 16,\nan edge from node 8 to node 6 with capacity 14,\nan edge from node 8 to node 2 with capacity 12,\nan edge from node 8 to node 3 with capacity 15,\nan edge from node 8 to node 14 with capacity 14,\nan edge from node 9 to node 13 with capacity 17,\nan edge from node 9 to node 4 with capacity 16,\nan edge from node 9 to node 0 with capacity 13,\nan edge from node 10 to node 1 with capacity 8,\nan edge from node 11 to node 8 with capacity 15,\nan edge from node 11 to node 15 with capacity 11,\nan edge from node 11 to node 14 with capacity 10,\nan edge from node 11 to node 12 with capacity 8,\nan edge from node 12 to node 11 with capacity 4,\nan edge from node 12 to node 9 with capacity 14,\nan edge from node 12 to node 3 with capacity 9,\nan edge from node 12 to node 14 with capacity 4,\nan edge from node 13 to node 10 with capacity 11,\nan edge from node 13 to node 4 with capacity 16,\nan edge from node 13 to node 15 with capacity 8,\nan edge from node 13 to node 12 with capacity 20,\nan edge from node 14 to node 10 with capacity 1,\nan edge from node 14 to node 15 with capacity 3,\nan edge from node 14 to node 16 with capacity 19,\nan edge from node 15 to node 4 with capacity 3,\nan edge from node 15 to node 6 with capacity 5,\nan edge from node 15 to node 3 with capacity 7,\nan edge from node 15 to node 0 with capacity 8,\nan edge from node 16 to node 7 with capacity 19,\nan edge from node 16 to node 6 with capacity 15,\nan edge from node 16 to node 3 with capacity 13,\nan edge from node 16 to node 0 with capacity 20,\nan edge from node 16 to node 15 with capacity 15,\nan edge from node 16 to node 5 with capacity 6,\nWhat is the maximum flow from node 1 to node 10:"
            },
            {
                "from": "gpt",
                "value": "21."
            }
        ]
    },
    {
        "id": "flow-hard-graph400",
        "image": "data/flow/graph_visual/hard/graph400.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 3 with capacity 17,\nan edge from node 0 to node 2 with capacity 14,\nan edge from node 0 to node 7 with capacity 16,\nan edge from node 0 to node 6 with capacity 20,\nan edge from node 1 to node 6 with capacity 12,\nan edge from node 2 to node 5 with capacity 17,\nan edge from node 2 to node 4 with capacity 19,\nan edge from node 2 to node 8 with capacity 1,\nan edge from node 2 to node 10 with capacity 19,\nan edge from node 2 to node 11 with capacity 3,\nan edge from node 2 to node 13 with capacity 10,\nan edge from node 2 to node 6 with capacity 20,\nan edge from node 3 to node 1 with capacity 11,\nan edge from node 3 to node 9 with capacity 12,\nan edge from node 3 to node 6 with capacity 18,\nan edge from node 4 to node 12 with capacity 8,\nan edge from node 4 to node 0 with capacity 11,\nan edge from node 4 to node 9 with capacity 5,\nan edge from node 6 to node 5 with capacity 8,\nan edge from node 6 to node 11 with capacity 3,\nan edge from node 6 to node 0 with capacity 15,\nan edge from node 6 to node 7 with capacity 18,\nan edge from node 7 to node 5 with capacity 4,\nan edge from node 7 to node 4 with capacity 20,\nan edge from node 7 to node 10 with capacity 14,\nan edge from node 7 to node 0 with capacity 19,\nan edge from node 7 to node 9 with capacity 10,\nan edge from node 8 to node 12 with capacity 20,\nan edge from node 8 to node 3 with capacity 9,\nan edge from node 8 to node 11 with capacity 20,\nan edge from node 8 to node 7 with capacity 6,\nan edge from node 9 to node 5 with capacity 10,\nan edge from node 9 to node 4 with capacity 7,\nan edge from node 9 to node 8 with capacity 12,\nan edge from node 9 to node 10 with capacity 4,\nan edge from node 9 to node 12 with capacity 7,\nan edge from node 9 to node 1 with capacity 13,\nan edge from node 9 to node 0 with capacity 15,\nan edge from node 9 to node 13 with capacity 3,\nan edge from node 9 to node 7 with capacity 4,\nan edge from node 10 to node 0 with capacity 8,\nan edge from node 10 to node 13 with capacity 18,\nan edge from node 10 to node 9 with capacity 12,\nan edge from node 11 to node 4 with capacity 10,\nan edge from node 11 to node 8 with capacity 16,\nan edge from node 11 to node 12 with capacity 4,\nan edge from node 11 to node 1 with capacity 4,\nan edge from node 11 to node 0 with capacity 2,\nan edge from node 11 to node 13 with capacity 19,\nan edge from node 12 to node 4 with capacity 8,\nan edge from node 12 to node 1 with capacity 2,\nan edge from node 12 to node 13 with capacity 8,\nan edge from node 12 to node 7 with capacity 12,\nan edge from node 12 to node 6 with capacity 2,\nan edge from node 13 to node 8 with capacity 14,\nan edge from node 13 to node 10 with capacity 10,\nan edge from node 13 to node 3 with capacity 5,\nan edge from node 13 to node 11 with capacity 13,\nan edge from node 13 to node 2 with capacity 16,\nan edge from node 13 to node 9 with capacity 18,\nWhat is the maximum flow from node 7 to node 1:"
            },
            {
                "from": "gpt",
                "value": "30."
            }
        ]
    },
    {
        "id": "flow-hard-graph1007",
        "image": "data/flow/graph_visual/hard/graph1007.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 2 with capacity 12,\nan edge from node 0 to node 12 with capacity 11,\nan edge from node 0 to node 6 with capacity 20,\nan edge from node 0 to node 5 with capacity 12,\nan edge from node 1 to node 2 with capacity 5,\nan edge from node 1 to node 0 with capacity 2,\nan edge from node 1 to node 6 with capacity 11,\nan edge from node 1 to node 13 with capacity 15,\nan edge from node 1 to node 4 with capacity 7,\nan edge from node 2 to node 3 with capacity 12,\nan edge from node 2 to node 6 with capacity 17,\nan edge from node 2 to node 10 with capacity 15,\nan edge from node 2 to node 14 with capacity 16,\nan edge from node 2 to node 18 with capacity 14,\nan edge from node 3 to node 16 with capacity 7,\nan edge from node 3 to node 1 with capacity 2,\nan edge from node 3 to node 5 with capacity 3,\nan edge from node 3 to node 4 with capacity 18,\nan edge from node 3 to node 14 with capacity 20,\nan edge from node 4 to node 15 with capacity 4,\nan edge from node 4 to node 1 with capacity 3,\nan edge from node 4 to node 11 with capacity 19,\nan edge from node 4 to node 3 with capacity 6,\nan edge from node 4 to node 6 with capacity 18,\nan edge from node 4 to node 5 with capacity 13,\nan edge from node 5 to node 16 with capacity 9,\nan edge from node 5 to node 7 with capacity 2,\nan edge from node 5 to node 17 with capacity 13,\nan edge from node 5 to node 0 with capacity 3,\nan edge from node 5 to node 6 with capacity 10,\nan edge from node 6 to node 7 with capacity 17,\nan edge from node 6 to node 13 with capacity 4,\nan edge from node 7 to node 15 with capacity 12,\nan edge from node 7 to node 1 with capacity 1,\nan edge from node 7 to node 17 with capacity 18,\nan edge from node 7 to node 8 with capacity 10,\nan edge from node 7 to node 5 with capacity 18,\nan edge from node 7 to node 18 with capacity 10,\nan edge from node 8 to node 2 with capacity 16,\nan edge from node 8 to node 7 with capacity 1,\nan edge from node 8 to node 17 with capacity 20,\nan edge from node 8 to node 6 with capacity 18,\nan edge from node 8 to node 10 with capacity 16,\nan edge from node 8 to node 18 with capacity 1,\nan edge from node 9 to node 12 with capacity 6,\nan edge from node 9 to node 7 with capacity 12,\nan edge from node 9 to node 18 with capacity 2,\nan edge from node 10 to node 15 with capacity 7,\nan edge from node 10 to node 17 with capacity 5,\nan edge from node 10 to node 11 with capacity 9,\nan edge from node 10 to node 0 with capacity 7,\nan edge from node 10 to node 4 with capacity 9,\nan edge from node 11 to node 16 with capacity 20,\nan edge from node 11 to node 3 with capacity 20,\nan edge from node 11 to node 10 with capacity 17,\nan edge from node 11 to node 4 with capacity 17,\nan edge from node 12 to node 8 with capacity 11,\nan edge from node 12 to node 4 with capacity 8,\nan edge from node 12 to node 18 with capacity 20,\nan edge from node 13 to node 16 with capacity 6,\nan edge from node 13 to node 0 with capacity 12,\nan edge from node 13 to node 18 with capacity 12,\nan edge from node 14 to node 7 with capacity 7,\nan edge from node 14 to node 8 with capacity 14,\nan edge from node 14 to node 13 with capacity 8,\nan edge from node 14 to node 4 with capacity 10,\nan edge from node 15 to node 10 with capacity 10,\nan edge from node 15 to node 18 with capacity 12,\nan edge from node 16 to node 7 with capacity 12,\nan edge from node 16 to node 8 with capacity 3,\nan edge from node 16 to node 6 with capacity 19,\nan edge from node 16 to node 4 with capacity 9,\nan edge from node 17 to node 11 with capacity 9,\nan edge from node 17 to node 14 with capacity 19,\nan edge from node 17 to node 18 with capacity 14,\nan edge from node 18 to node 7 with capacity 5,\nWhat is the maximum flow from node 4 to node 16:"
            },
            {
                "from": "gpt",
                "value": "42."
            }
        ]
    },
    {
        "id": "flow-hard-graph304",
        "image": "data/flow/graph_visual/hard/graph304.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 4 with capacity 4,\nan edge from node 0 to node 7 with capacity 3,\nan edge from node 0 to node 10 with capacity 15,\nan edge from node 1 to node 2 with capacity 16,\nan edge from node 1 to node 0 with capacity 10,\nan edge from node 2 to node 3 with capacity 15,\nan edge from node 2 to node 7 with capacity 2,\nan edge from node 2 to node 10 with capacity 17,\nan edge from node 3 to node 1 with capacity 11,\nan edge from node 3 to node 6 with capacity 13,\nan edge from node 3 to node 11 with capacity 18,\nan edge from node 4 to node 1 with capacity 11,\nan edge from node 4 to node 7 with capacity 17,\nan edge from node 4 to node 11 with capacity 8,\nan edge from node 5 to node 9 with capacity 5,\nan edge from node 5 to node 7 with capacity 3,\nan edge from node 6 to node 2 with capacity 2,\nan edge from node 7 to node 2 with capacity 5,\nan edge from node 7 to node 12 with capacity 1,\nan edge from node 7 to node 9 with capacity 18,\nan edge from node 7 to node 4 with capacity 3,\nan edge from node 7 to node 6 with capacity 15,\nan edge from node 8 to node 0 with capacity 7,\nan edge from node 8 to node 1 with capacity 18,\nan edge from node 8 to node 9 with capacity 6,\nan edge from node 9 to node 2 with capacity 8,\nan edge from node 9 to node 12 with capacity 8,\nan edge from node 9 to node 4 with capacity 4,\nan edge from node 10 to node 3 with capacity 5,\nan edge from node 10 to node 8 with capacity 18,\nan edge from node 10 to node 2 with capacity 7,\nan edge from node 10 to node 0 with capacity 6,\nan edge from node 10 to node 1 with capacity 1,\nan edge from node 10 to node 4 with capacity 15,\nan edge from node 10 to node 5 with capacity 18,\nan edge from node 11 to node 8 with capacity 11,\nan edge from node 11 to node 0 with capacity 16,\nan edge from node 11 to node 12 with capacity 2,\nan edge from node 11 to node 1 with capacity 16,\nan edge from node 11 to node 4 with capacity 19,\nan edge from node 11 to node 5 with capacity 12,\nan edge from node 12 to node 2 with capacity 4,\nan edge from node 12 to node 7 with capacity 9,\nan edge from node 12 to node 11 with capacity 14,\nWhat is the maximum flow from node 0 to node 2:"
            },
            {
                "from": "gpt",
                "value": "22."
            }
        ]
    },
    {
        "id": "flow-hard-graph434",
        "image": "data/flow/graph_visual/hard/graph434.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 1 with capacity 8,\nan edge from node 0 to node 13 with capacity 8,\nan edge from node 0 to node 10 with capacity 2,\nan edge from node 0 to node 7 with capacity 9,\nan edge from node 0 to node 9 with capacity 18,\nan edge from node 0 to node 3 with capacity 16,\nan edge from node 1 to node 12 with capacity 5,\nan edge from node 2 to node 8 with capacity 12,\nan edge from node 2 to node 13 with capacity 13,\nan edge from node 2 to node 12 with capacity 8,\nan edge from node 2 to node 3 with capacity 8,\nan edge from node 3 to node 8 with capacity 5,\nan edge from node 3 to node 6 with capacity 16,\nan edge from node 3 to node 9 with capacity 4,\nan edge from node 3 to node 4 with capacity 7,\nan edge from node 4 to node 5 with capacity 12,\nan edge from node 4 to node 8 with capacity 5,\nan edge from node 4 to node 3 with capacity 12,\nan edge from node 5 to node 10 with capacity 5,\nan edge from node 5 to node 9 with capacity 8,\nan edge from node 5 to node 4 with capacity 8,\nan edge from node 6 to node 9 with capacity 5,\nan edge from node 6 to node 12 with capacity 3,\nan edge from node 7 to node 8 with capacity 15,\nan edge from node 7 to node 11 with capacity 11,\nan edge from node 7 to node 12 with capacity 11,\nan edge from node 7 to node 4 with capacity 13,\nan edge from node 8 to node 13 with capacity 7,\nan edge from node 8 to node 0 with capacity 19,\nan edge from node 8 to node 12 with capacity 8,\nan edge from node 8 to node 4 with capacity 1,\nan edge from node 9 to node 10 with capacity 18,\nan edge from node 9 to node 6 with capacity 4,\nan edge from node 9 to node 2 with capacity 9,\nan edge from node 9 to node 11 with capacity 5,\nan edge from node 9 to node 12 with capacity 6,\nan edge from node 10 to node 8 with capacity 2,\nan edge from node 11 to node 5 with capacity 19,\nan edge from node 11 to node 8 with capacity 9,\nan edge from node 11 to node 12 with capacity 3,\nan edge from node 12 to node 6 with capacity 9,\nan edge from node 12 to node 11 with capacity 8,\nan edge from node 13 to node 8 with capacity 12,\nan edge from node 13 to node 0 with capacity 12,\nan edge from node 13 to node 7 with capacity 2,\nan edge from node 13 to node 4 with capacity 5,\nWhat is the maximum flow from node 4 to node 12:"
            },
            {
                "from": "gpt",
                "value": "27."
            }
        ]
    },
    {
        "id": "flow-hard-graph454",
        "image": "data/flow/graph_visual/hard/graph454.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 12 with capacity 8,\nan edge from node 0 to node 2 with capacity 17,\nan edge from node 0 to node 13 with capacity 8,\nan edge from node 0 to node 7 with capacity 17,\nan edge from node 0 to node 9 with capacity 6,\nan edge from node 0 to node 1 with capacity 20,\nan edge from node 1 to node 8 with capacity 12,\nan edge from node 1 to node 6 with capacity 19,\nan edge from node 1 to node 5 with capacity 17,\nan edge from node 1 to node 2 with capacity 15,\nan edge from node 1 to node 7 with capacity 17,\nan edge from node 1 to node 9 with capacity 15,\nan edge from node 2 to node 8 with capacity 17,\nan edge from node 2 to node 3 with capacity 15,\nan edge from node 2 to node 6 with capacity 7,\nan edge from node 2 to node 5 with capacity 4,\nan edge from node 2 to node 7 with capacity 13,\nan edge from node 3 to node 8 with capacity 1,\nan edge from node 3 to node 12 with capacity 16,\nan edge from node 3 to node 6 with capacity 18,\nan edge from node 3 to node 5 with capacity 18,\nan edge from node 3 to node 7 with capacity 2,\nan edge from node 3 to node 1 with capacity 1,\nan edge from node 4 to node 8 with capacity 4,\nan edge from node 4 to node 3 with capacity 14,\nan edge from node 4 to node 0 with capacity 8,\nan edge from node 4 to node 6 with capacity 16,\nan edge from node 4 to node 2 with capacity 9,\nan edge from node 5 to node 12 with capacity 4,\nan edge from node 5 to node 13 with capacity 17,\nan edge from node 5 to node 7 with capacity 3,\nan edge from node 5 to node 4 with capacity 12,\nan edge from node 6 to node 11 with capacity 11,\nan edge from node 6 to node 5 with capacity 14,\nan edge from node 6 to node 2 with capacity 14,\nan edge from node 6 to node 4 with capacity 11,\nan edge from node 7 to node 6 with capacity 14,\nan edge from node 7 to node 2 with capacity 20,\nan edge from node 7 to node 13 with capacity 9,\nan edge from node 7 to node 4 with capacity 10,\nan edge from node 8 to node 5 with capacity 11,\nan edge from node 8 to node 2 with capacity 17,\nan edge from node 8 to node 7 with capacity 5,\nan edge from node 9 to node 8 with capacity 8,\nan edge from node 9 to node 0 with capacity 2,\nan edge from node 9 to node 5 with capacity 16,\nan edge from node 9 to node 7 with capacity 18,\nan edge from node 10 to node 11 with capacity 3,\nan edge from node 10 to node 3 with capacity 20,\nan edge from node 10 to node 6 with capacity 3,\nan edge from node 10 to node 13 with capacity 2,\nan edge from node 10 to node 1 with capacity 14,\nan edge from node 11 to node 8 with capacity 8,\nan edge from node 11 to node 12 with capacity 19,\nan edge from node 12 to node 11 with capacity 6,\nan edge from node 12 to node 6 with capacity 19,\nan edge from node 13 to node 11 with capacity 8,\nan edge from node 13 to node 3 with capacity 3,\nan edge from node 13 to node 5 with capacity 17,\nan edge from node 13 to node 7 with capacity 15,\nan edge from node 13 to node 4 with capacity 14,\nWhat is the maximum flow from node 2 to node 7:"
            },
            {
                "from": "gpt",
                "value": "47."
            }
        ]
    },
    {
        "id": "flow-hard-graph479",
        "image": "data/flow/graph_visual/hard/graph479.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 1 to node 8 with capacity 12,\nan edge from node 1 to node 3 with capacity 8,\nan edge from node 1 to node 4 with capacity 18,\nan edge from node 1 to node 2 with capacity 18,\nan edge from node 2 to node 10 with capacity 12,\nan edge from node 3 to node 9 with capacity 4,\nan edge from node 3 to node 1 with capacity 11,\nan edge from node 3 to node 4 with capacity 16,\nan edge from node 3 to node 5 with capacity 4,\nan edge from node 4 to node 9 with capacity 20,\nan edge from node 4 to node 2 with capacity 16,\nan edge from node 4 to node 10 with capacity 6,\nan edge from node 4 to node 5 with capacity 5,\nan edge from node 4 to node 13 with capacity 15,\nan edge from node 4 to node 11 with capacity 20,\nan edge from node 4 to node 6 with capacity 19,\nan edge from node 5 to node 12 with capacity 4,\nan edge from node 5 to node 11 with capacity 19,\nan edge from node 6 to node 0 with capacity 5,\nan edge from node 6 to node 12 with capacity 7,\nan edge from node 6 to node 11 with capacity 16,\nan edge from node 7 to node 9 with capacity 15,\nan edge from node 7 to node 2 with capacity 18,\nan edge from node 8 to node 9 with capacity 13,\nan edge from node 8 to node 1 with capacity 14,\nan edge from node 8 to node 2 with capacity 14,\nan edge from node 8 to node 13 with capacity 13,\nan edge from node 8 to node 6 with capacity 1,\nan edge from node 9 to node 3 with capacity 16,\nan edge from node 9 to node 1 with capacity 10,\nan edge from node 9 to node 0 with capacity 13,\nan edge from node 9 to node 6 with capacity 12,\nan edge from node 10 to node 2 with capacity 16,\nan edge from node 10 to node 6 with capacity 4,\nan edge from node 11 to node 4 with capacity 14,\nan edge from node 11 to node 13 with capacity 7,\nan edge from node 11 to node 6 with capacity 20,\nan edge from node 12 to node 3 with capacity 6,\nan edge from node 12 to node 4 with capacity 5,\nan edge from node 12 to node 5 with capacity 3,\nan edge from node 12 to node 11 with capacity 5,\nan edge from node 13 to node 10 with capacity 14,\nan edge from node 13 to node 11 with capacity 15,\nWhat is the maximum flow from node 4 to node 0:"
            },
            {
                "from": "gpt",
                "value": "18."
            }
        ]
    },
    {
        "id": "flow-hard-graph872",
        "image": "data/flow/graph_visual/hard/graph872.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 4 with capacity 2,\nan edge from node 0 to node 16 with capacity 7,\nan edge from node 0 to node 2 with capacity 1,\nan edge from node 0 to node 5 with capacity 2,\nan edge from node 1 to node 15 with capacity 6,\nan edge from node 1 to node 14 with capacity 4,\nan edge from node 1 to node 17 with capacity 16,\nan edge from node 1 to node 2 with capacity 12,\nan edge from node 1 to node 5 with capacity 6,\nan edge from node 1 to node 3 with capacity 11,\nan edge from node 1 to node 7 with capacity 13,\nan edge from node 1 to node 0 with capacity 2,\nan edge from node 2 to node 10 with capacity 8,\nan edge from node 2 to node 17 with capacity 14,\nan edge from node 2 to node 11 with capacity 20,\nan edge from node 2 to node 5 with capacity 12,\nan edge from node 2 to node 3 with capacity 13,\nan edge from node 2 to node 12 with capacity 11,\nan edge from node 3 to node 4 with capacity 9,\nan edge from node 3 to node 12 with capacity 8,\nan edge from node 3 to node 13 with capacity 8,\nan edge from node 3 to node 0 with capacity 4,\nan edge from node 4 to node 11 with capacity 20,\nan edge from node 5 to node 15 with capacity 9,\nan edge from node 5 to node 8 with capacity 20,\nan edge from node 6 to node 15 with capacity 14,\nan edge from node 6 to node 17 with capacity 3,\nan edge from node 6 to node 0 with capacity 8,\nan edge from node 7 to node 9 with capacity 3,\nan edge from node 7 to node 8 with capacity 8,\nan edge from node 7 to node 4 with capacity 17,\nan edge from node 7 to node 3 with capacity 2,\nan edge from node 7 to node 12 with capacity 2,\nan edge from node 7 to node 1 with capacity 17,\nan edge from node 7 to node 0 with capacity 5,\nan edge from node 8 to node 4 with capacity 18,\nan edge from node 8 to node 16 with capacity 2,\nan edge from node 8 to node 3 with capacity 6,\nan edge from node 8 to node 1 with capacity 1,\nan edge from node 8 to node 13 with capacity 8,\nan edge from node 8 to node 0 with capacity 17,\nan edge from node 9 to node 8 with capacity 18,\nan edge from node 9 to node 4 with capacity 17,\nan edge from node 9 to node 17 with capacity 11,\nan edge from node 9 to node 11 with capacity 3,\nan edge from node 9 to node 7 with capacity 8,\nan edge from node 10 to node 17 with capacity 4,\nan edge from node 10 to node 2 with capacity 4,\nan edge from node 10 to node 11 with capacity 10,\nan edge from node 11 to node 15 with capacity 11,\nan edge from node 11 to node 16 with capacity 12,\nan edge from node 11 to node 17 with capacity 20,\nan edge from node 11 to node 5 with capacity 9,\nan edge from node 11 to node 7 with capacity 12,\nan edge from node 11 to node 13 with capacity 16,\nan edge from node 11 to node 0 with capacity 15,\nan edge from node 12 to node 10 with capacity 9,\nan edge from node 12 to node 17 with capacity 13,\nan edge from node 12 to node 2 with capacity 16,\nan edge from node 12 to node 5 with capacity 7,\nan edge from node 12 to node 1 with capacity 19,\nan edge from node 13 to node 6 with capacity 12,\nan edge from node 13 to node 2 with capacity 17,\nan edge from node 13 to node 3 with capacity 9,\nan edge from node 13 to node 7 with capacity 20,\nan edge from node 14 to node 15 with capacity 2,\nan edge from node 14 to node 9 with capacity 4,\nan edge from node 14 to node 16 with capacity 4,\nan edge from node 14 to node 5 with capacity 9,\nan edge from node 14 to node 3 with capacity 7,\nan edge from node 15 to node 14 with capacity 2,\nan edge from node 15 to node 8 with capacity 4,\nan edge from node 15 to node 16 with capacity 19,\nan edge from node 15 to node 2 with capacity 10,\nan edge from node 15 to node 11 with capacity 19,\nan edge from node 15 to node 5 with capacity 12,\nan edge from node 15 to node 13 with capacity 10,\nan edge from node 15 to node 0 with capacity 4,\nan edge from node 16 to node 4 with capacity 19,\nan edge from node 16 to node 6 with capacity 7,\nan edge from node 16 to node 10 with capacity 19,\nan edge from node 16 to node 12 with capacity 3,\nan edge from node 16 to node 0 with capacity 2,\nan edge from node 17 to node 15 with capacity 8,\nWhat is the maximum flow from node 8 to node 12:"
            },
            {
                "from": "gpt",
                "value": "24."
            }
        ]
    },
    {
        "id": "flow-hard-graph517",
        "image": "data/flow/graph_visual/hard/graph517.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 12 with capacity 7,\nan edge from node 0 to node 1 with capacity 4,\nan edge from node 0 to node 10 with capacity 8,\nan edge from node 1 to node 4 with capacity 12,\nan edge from node 1 to node 12 with capacity 11,\nan edge from node 1 to node 7 with capacity 10,\nan edge from node 1 to node 9 with capacity 16,\nan edge from node 1 to node 10 with capacity 17,\nan edge from node 1 to node 0 with capacity 19,\nan edge from node 2 to node 6 with capacity 16,\nan edge from node 2 to node 9 with capacity 12,\nan edge from node 3 to node 5 with capacity 10,\nan edge from node 3 to node 4 with capacity 10,\nan edge from node 3 to node 12 with capacity 2,\nan edge from node 3 to node 2 with capacity 10,\nan edge from node 3 to node 7 with capacity 9,\nan edge from node 3 to node 10 with capacity 16,\nan edge from node 3 to node 14 with capacity 11,\nan edge from node 5 to node 6 with capacity 3,\nan edge from node 5 to node 0 with capacity 4,\nan edge from node 6 to node 5 with capacity 17,\nan edge from node 6 to node 4 with capacity 12,\nan edge from node 6 to node 1 with capacity 6,\nan edge from node 7 to node 5 with capacity 19,\nan edge from node 7 to node 4 with capacity 1,\nan edge from node 7 to node 2 with capacity 11,\nan edge from node 7 to node 11 with capacity 16,\nan edge from node 7 to node 10 with capacity 14,\nan edge from node 7 to node 13 with capacity 3,\nan edge from node 8 to node 5 with capacity 19,\nan edge from node 9 to node 5 with capacity 20,\nan edge from node 9 to node 14 with capacity 12,\nan edge from node 9 to node 13 with capacity 12,\nan edge from node 10 to node 2 with capacity 7,\nan edge from node 10 to node 6 with capacity 5,\nan edge from node 11 to node 5 with capacity 13,\nan edge from node 11 to node 12 with capacity 7,\nan edge from node 11 to node 6 with capacity 20,\nan edge from node 11 to node 8 with capacity 14,\nan edge from node 11 to node 9 with capacity 4,\nan edge from node 11 to node 14 with capacity 10,\nan edge from node 12 to node 2 with capacity 12,\nan edge from node 12 to node 6 with capacity 12,\nan edge from node 12 to node 8 with capacity 14,\nan edge from node 12 to node 9 with capacity 17,\nan edge from node 13 to node 2 with capacity 2,\nan edge from node 13 to node 6 with capacity 6,\nan edge from node 13 to node 1 with capacity 8,\nan edge from node 13 to node 8 with capacity 20,\nan edge from node 13 to node 11 with capacity 1,\nan edge from node 13 to node 3 with capacity 8,\nan edge from node 13 to node 0 with capacity 11,\nan edge from node 14 to node 8 with capacity 10,\nan edge from node 14 to node 11 with capacity 9,\nan edge from node 14 to node 9 with capacity 12,\nan edge from node 14 to node 3 with capacity 12,\nWhat is the maximum flow from node 3 to node 1:"
            },
            {
                "from": "gpt",
                "value": "18."
            }
        ]
    },
    {
        "id": "flow-hard-graph1089",
        "image": "data/flow/graph_visual/hard/graph1089.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 19 with capacity 19,\nan edge from node 0 to node 18 with capacity 2,\nan edge from node 0 to node 7 with capacity 18,\nan edge from node 1 to node 17 with capacity 16,\nan edge from node 1 to node 19 with capacity 14,\nan edge from node 2 to node 13 with capacity 1,\nan edge from node 2 to node 18 with capacity 3,\nan edge from node 2 to node 7 with capacity 7,\nan edge from node 2 to node 11 with capacity 14,\nan edge from node 3 to node 17 with capacity 7,\nan edge from node 3 to node 13 with capacity 11,\nan edge from node 3 to node 15 with capacity 9,\nan edge from node 3 to node 12 with capacity 20,\nan edge from node 3 to node 0 with capacity 16,\nan edge from node 4 to node 9 with capacity 1,\nan edge from node 4 to node 14 with capacity 1,\nan edge from node 4 to node 12 with capacity 13,\nan edge from node 4 to node 18 with capacity 1,\nan edge from node 5 to node 3 with capacity 17,\nan edge from node 5 to node 6 with capacity 5,\nan edge from node 5 to node 14 with capacity 16,\nan edge from node 5 to node 8 with capacity 14,\nan edge from node 5 to node 2 with capacity 15,\nan edge from node 5 to node 11 with capacity 2,\nan edge from node 6 to node 3 with capacity 4,\nan edge from node 6 to node 19 with capacity 17,\nan edge from node 6 to node 12 with capacity 15,\nan edge from node 7 to node 17 with capacity 9,\nan edge from node 7 to node 6 with capacity 14,\nan edge from node 7 to node 14 with capacity 15,\nan edge from node 7 to node 16 with capacity 3,\nan edge from node 7 to node 15 with capacity 13,\nan edge from node 7 to node 18 with capacity 14,\nan edge from node 7 to node 11 with capacity 11,\nan edge from node 8 to node 0 with capacity 18,\nan edge from node 9 to node 3 with capacity 8,\nan edge from node 9 to node 10 with capacity 17,\nan edge from node 9 to node 4 with capacity 12,\nan edge from node 10 to node 13 with capacity 19,\nan edge from node 10 to node 2 with capacity 13,\nan edge from node 10 to node 11 with capacity 15,\nan edge from node 11 to node 19 with capacity 8,\nan edge from node 11 to node 13 with capacity 6,\nan edge from node 11 to node 12 with capacity 19,\nan edge from node 11 to node 0 with capacity 18,\nan edge from node 12 to node 13 with capacity 18,\nan edge from node 12 to node 14 with capacity 5,\nan edge from node 12 to node 8 with capacity 16,\nan edge from node 12 to node 1 with capacity 3,\nan edge from node 12 to node 15 with capacity 10,\nan edge from node 13 to node 17 with capacity 2,\nan edge from node 13 to node 8 with capacity 19,\nan edge from node 13 to node 16 with capacity 16,\nan edge from node 13 to node 1 with capacity 3,\nan edge from node 13 to node 12 with capacity 8,\nan edge from node 13 to node 18 with capacity 14,\nan edge from node 13 to node 0 with capacity 1,\nan edge from node 14 to node 5 with capacity 18,\nan edge from node 14 to node 9 with capacity 6,\nan edge from node 14 to node 10 with capacity 14,\nan edge from node 14 to node 15 with capacity 16,\nan edge from node 14 to node 11 with capacity 12,\nan edge from node 15 to node 14 with capacity 7,\nan edge from node 15 to node 8 with capacity 17,\nan edge from node 15 to node 7 with capacity 12,\nan edge from node 16 to node 17 with capacity 19,\nan edge from node 16 to node 19 with capacity 10,\nan edge from node 16 to node 8 with capacity 15,\nan edge from node 16 to node 10 with capacity 1,\nan edge from node 16 to node 12 with capacity 6,\nan edge from node 17 to node 13 with capacity 20,\nan edge from node 17 to node 2 with capacity 4,\nan edge from node 18 to node 5 with capacity 2,\nan edge from node 18 to node 6 with capacity 9,\nan edge from node 18 to node 13 with capacity 1,\nan edge from node 18 to node 8 with capacity 19,\nan edge from node 18 to node 10 with capacity 1,\nan edge from node 18 to node 15 with capacity 12,\nan edge from node 18 to node 4 with capacity 1,\nan edge from node 18 to node 7 with capacity 9,\nan edge from node 19 to node 17 with capacity 11,\nan edge from node 19 to node 13 with capacity 11,\nan edge from node 19 to node 9 with capacity 15,\nan edge from node 19 to node 8 with capacity 20,\nan edge from node 19 to node 10 with capacity 10,\nWhat is the maximum flow from node 7 to node 6:"
            },
            {
                "from": "gpt",
                "value": "28."
            }
        ]
    },
    {
        "id": "flow-hard-graph162",
        "image": "data/flow/graph_visual/hard/graph162.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 2 with capacity 19,\nan edge from node 0 to node 11 with capacity 2,\nan edge from node 0 to node 6 with capacity 12,\nan edge from node 1 to node 2 with capacity 16,\nan edge from node 1 to node 11 with capacity 19,\nan edge from node 1 to node 9 with capacity 1,\nan edge from node 1 to node 7 with capacity 2,\nan edge from node 1 to node 4 with capacity 11,\nan edge from node 2 to node 11 with capacity 12,\nan edge from node 2 to node 9 with capacity 10,\nan edge from node 2 to node 7 with capacity 2,\nan edge from node 2 to node 1 with capacity 9,\nan edge from node 3 to node 5 with capacity 4,\nan edge from node 3 to node 11 with capacity 3,\nan edge from node 4 to node 2 with capacity 18,\nan edge from node 5 to node 10 with capacity 7,\nan edge from node 5 to node 2 with capacity 17,\nan edge from node 5 to node 11 with capacity 14,\nan edge from node 5 to node 7 with capacity 14,\nan edge from node 5 to node 3 with capacity 17,\nan edge from node 5 to node 6 with capacity 18,\nan edge from node 6 to node 11 with capacity 20,\nan edge from node 6 to node 7 with capacity 16,\nan edge from node 6 to node 1 with capacity 6,\nan edge from node 8 to node 10 with capacity 15,\nan edge from node 8 to node 6 with capacity 10,\nan edge from node 9 to node 10 with capacity 4,\nan edge from node 9 to node 2 with capacity 2,\nan edge from node 9 to node 1 with capacity 12,\nan edge from node 10 to node 0 with capacity 14,\nan edge from node 10 to node 3 with capacity 16,\nan edge from node 10 to node 6 with capacity 1,\nan edge from node 10 to node 1 with capacity 6,\nan edge from node 11 to node 5 with capacity 1,\nan edge from node 11 to node 8 with capacity 11,\nan edge from node 11 to node 7 with capacity 7,\nan edge from node 11 to node 6 with capacity 5,\nWhat is the maximum flow from node 8 to node 9:"
            },
            {
                "from": "gpt",
                "value": "11."
            }
        ]
    },
    {
        "id": "flow-hard-graph115",
        "image": "data/flow/graph_visual/hard/graph115.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 3 with capacity 16,\nan edge from node 1 to node 5 with capacity 17,\nan edge from node 2 to node 5 with capacity 9,\nan edge from node 2 to node 9 with capacity 20,\nan edge from node 2 to node 6 with capacity 1,\nan edge from node 2 to node 10 with capacity 16,\nan edge from node 3 to node 6 with capacity 12,\nan edge from node 3 to node 4 with capacity 14,\nan edge from node 3 to node 0 with capacity 3,\nan edge from node 3 to node 2 with capacity 16,\nan edge from node 4 to node 8 with capacity 17,\nan edge from node 4 to node 7 with capacity 15,\nan edge from node 5 to node 8 with capacity 17,\nan edge from node 5 to node 4 with capacity 15,\nan edge from node 6 to node 3 with capacity 8,\nan edge from node 7 to node 3 with capacity 8,\nan edge from node 8 to node 9 with capacity 15,\nan edge from node 8 to node 4 with capacity 7,\nan edge from node 8 to node 0 with capacity 10,\nan edge from node 8 to node 2 with capacity 3,\nan edge from node 9 to node 6 with capacity 17,\nan edge from node 9 to node 10 with capacity 15,\nan edge from node 9 to node 4 with capacity 5,\nan edge from node 10 to node 1 with capacity 15,\nan edge from node 10 to node 5 with capacity 17,\nan edge from node 10 to node 3 with capacity 17,\nWhat is the maximum flow from node 7 to node 4:"
            },
            {
                "from": "gpt",
                "value": "8."
            }
        ]
    },
    {
        "id": "flow-hard-graph165",
        "image": "data/flow/graph_visual/hard/graph165.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 6 with capacity 6,\nan edge from node 0 to node 7 with capacity 14,\nan edge from node 1 to node 10 with capacity 11,\nan edge from node 1 to node 11 with capacity 9,\nan edge from node 2 to node 6 with capacity 2,\nan edge from node 2 to node 5 with capacity 16,\nan edge from node 2 to node 0 with capacity 19,\nan edge from node 3 to node 10 with capacity 10,\nan edge from node 3 to node 9 with capacity 13,\nan edge from node 3 to node 6 with capacity 15,\nan edge from node 4 to node 2 with capacity 11,\nan edge from node 4 to node 11 with capacity 10,\nan edge from node 4 to node 5 with capacity 10,\nan edge from node 5 to node 2 with capacity 14,\nan edge from node 5 to node 9 with capacity 12,\nan edge from node 5 to node 4 with capacity 16,\nan edge from node 5 to node 3 with capacity 3,\nan edge from node 6 to node 10 with capacity 2,\nan edge from node 6 to node 11 with capacity 11,\nan edge from node 6 to node 1 with capacity 6,\nan edge from node 7 to node 2 with capacity 3,\nan edge from node 7 to node 4 with capacity 18,\nan edge from node 7 to node 1 with capacity 3,\nan edge from node 8 to node 6 with capacity 12,\nan edge from node 8 to node 5 with capacity 10,\nan edge from node 8 to node 4 with capacity 5,\nan edge from node 9 to node 8 with capacity 20,\nan edge from node 9 to node 11 with capacity 12,\nan edge from node 10 to node 9 with capacity 7,\nan edge from node 10 to node 11 with capacity 20,\nan edge from node 10 to node 5 with capacity 18,\nan edge from node 10 to node 4 with capacity 6,\nan edge from node 10 to node 7 with capacity 18,\nan edge from node 10 to node 0 with capacity 14,\nan edge from node 11 to node 3 with capacity 7,\nWhat is the maximum flow from node 7 to node 9:"
            },
            {
                "from": "gpt",
                "value": "24."
            }
        ]
    },
    {
        "id": "flow-hard-graph196",
        "image": "data/flow/graph_visual/hard/graph196.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 1 with capacity 14,\nan edge from node 1 to node 5 with capacity 18,\nan edge from node 1 to node 9 with capacity 16,\nan edge from node 1 to node 3 with capacity 14,\nan edge from node 1 to node 2 with capacity 5,\nan edge from node 2 to node 10 with capacity 15,\nan edge from node 3 to node 9 with capacity 4,\nan edge from node 3 to node 1 with capacity 7,\nan edge from node 3 to node 0 with capacity 4,\nan edge from node 4 to node 9 with capacity 20,\nan edge from node 4 to node 10 with capacity 7,\nan edge from node 4 to node 11 with capacity 2,\nan edge from node 4 to node 1 with capacity 1,\nan edge from node 5 to node 9 with capacity 9,\nan edge from node 5 to node 7 with capacity 20,\nan edge from node 5 to node 10 with capacity 19,\nan edge from node 5 to node 6 with capacity 17,\nan edge from node 6 to node 8 with capacity 7,\nan edge from node 6 to node 4 with capacity 19,\nan edge from node 6 to node 2 with capacity 11,\nan edge from node 7 to node 3 with capacity 11,\nan edge from node 8 to node 11 with capacity 6,\nan edge from node 8 to node 2 with capacity 19,\nan edge from node 9 to node 10 with capacity 20,\nan edge from node 9 to node 11 with capacity 16,\nan edge from node 9 to node 8 with capacity 18,\nan edge from node 10 to node 3 with capacity 4,\nan edge from node 11 to node 9 with capacity 9,\nan edge from node 11 to node 10 with capacity 10,\nan edge from node 11 to node 3 with capacity 19,\nan edge from node 11 to node 2 with capacity 9,\nWhat is the maximum flow from node 6 to node 0:"
            },
            {
                "from": "gpt",
                "value": "4."
            }
        ]
    },
    {
        "id": "flow-hard-graph500",
        "image": "data/flow/graph_visual/hard/graph500.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 7 with capacity 16,\nan edge from node 0 to node 6 with capacity 15,\nan edge from node 0 to node 3 with capacity 2,\nan edge from node 1 to node 7 with capacity 9,\nan edge from node 1 to node 3 with capacity 9,\nan edge from node 2 to node 7 with capacity 7,\nan edge from node 2 to node 3 with capacity 8,\nan edge from node 2 to node 12 with capacity 19,\nan edge from node 3 to node 2 with capacity 10,\nan edge from node 3 to node 8 with capacity 10,\nan edge from node 3 to node 11 with capacity 13,\nan edge from node 3 to node 7 with capacity 12,\nan edge from node 3 to node 1 with capacity 1,\nan edge from node 3 to node 12 with capacity 18,\nan edge from node 4 to node 8 with capacity 1,\nan edge from node 4 to node 13 with capacity 8,\nan edge from node 4 to node 5 with capacity 4,\nan edge from node 4 to node 9 with capacity 16,\nan edge from node 4 to node 12 with capacity 3,\nan edge from node 5 to node 14 with capacity 10,\nan edge from node 5 to node 8 with capacity 13,\nan edge from node 5 to node 11 with capacity 1,\nan edge from node 5 to node 0 with capacity 16,\nan edge from node 6 to node 14 with capacity 20,\nan edge from node 6 to node 11 with capacity 16,\nan edge from node 6 to node 0 with capacity 19,\nan edge from node 6 to node 7 with capacity 5,\nan edge from node 6 to node 1 with capacity 9,\nan edge from node 6 to node 4 with capacity 7,\nan edge from node 7 to node 2 with capacity 17,\nan edge from node 7 to node 11 with capacity 14,\nan edge from node 7 to node 0 with capacity 15,\nan edge from node 7 to node 9 with capacity 7,\nan edge from node 8 to node 14 with capacity 14,\nan edge from node 8 to node 5 with capacity 14,\nan edge from node 8 to node 1 with capacity 17,\nan edge from node 9 to node 8 with capacity 18,\nan edge from node 9 to node 13 with capacity 12,\nan edge from node 9 to node 10 with capacity 12,\nan edge from node 9 to node 1 with capacity 14,\nan edge from node 10 to node 2 with capacity 18,\nan edge from node 10 to node 14 with capacity 9,\nan edge from node 10 to node 5 with capacity 6,\nan edge from node 10 to node 6 with capacity 12,\nan edge from node 10 to node 12 with capacity 6,\nan edge from node 11 to node 2 with capacity 10,\nan edge from node 12 to node 0 with capacity 17,\nan edge from node 12 to node 7 with capacity 8,\nan edge from node 12 to node 6 with capacity 19,\nan edge from node 12 to node 3 with capacity 11,\nan edge from node 13 to node 1 with capacity 19,\nan edge from node 13 to node 3 with capacity 5,\nan edge from node 14 to node 10 with capacity 12,\nan edge from node 14 to node 6 with capacity 2,\nWhat is the maximum flow from node 9 to node 2:"
            },
            {
                "from": "gpt",
                "value": "53."
            }
        ]
    },
    {
        "id": "flow-hard-graph813",
        "image": "data/flow/graph_visual/hard/graph813.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 10 with capacity 20,\nan edge from node 1 to node 0 with capacity 12,\nan edge from node 1 to node 12 with capacity 3,\nan edge from node 1 to node 6 with capacity 6,\nan edge from node 1 to node 13 with capacity 14,\nan edge from node 1 to node 2 with capacity 5,\nan edge from node 1 to node 7 with capacity 11,\nan edge from node 2 to node 12 with capacity 8,\nan edge from node 2 to node 11 with capacity 10,\nan edge from node 2 to node 10 with capacity 13,\nan edge from node 2 to node 8 with capacity 19,\nan edge from node 2 to node 1 with capacity 12,\nan edge from node 3 to node 11 with capacity 4,\nan edge from node 3 to node 16 with capacity 17,\nan edge from node 3 to node 15 with capacity 20,\nan edge from node 4 to node 0 with capacity 15,\nan edge from node 4 to node 9 with capacity 7,\nan edge from node 4 to node 5 with capacity 3,\nan edge from node 4 to node 3 with capacity 14,\nan edge from node 4 to node 14 with capacity 19,\nan edge from node 5 to node 13 with capacity 2,\nan edge from node 5 to node 10 with capacity 19,\nan edge from node 5 to node 3 with capacity 5,\nan edge from node 5 to node 15 with capacity 4,\nan edge from node 5 to node 14 with capacity 12,\nan edge from node 6 to node 15 with capacity 7,\nan edge from node 6 to node 14 with capacity 17,\nan edge from node 7 to node 13 with capacity 17,\nan edge from node 7 to node 11 with capacity 1,\nan edge from node 7 to node 10 with capacity 14,\nan edge from node 7 to node 1 with capacity 2,\nan edge from node 8 to node 0 with capacity 14,\nan edge from node 8 to node 6 with capacity 9,\nan edge from node 8 to node 2 with capacity 20,\nan edge from node 8 to node 16 with capacity 10,\nan edge from node 8 to node 4 with capacity 6,\nan edge from node 9 to node 12 with capacity 14,\nan edge from node 9 to node 13 with capacity 14,\nan edge from node 9 to node 10 with capacity 2,\nan edge from node 9 to node 15 with capacity 1,\nan edge from node 9 to node 14 with capacity 19,\nan edge from node 9 to node 4 with capacity 14,\nan edge from node 10 to node 0 with capacity 13,\nan edge from node 10 to node 12 with capacity 9,\nan edge from node 10 to node 13 with capacity 9,\nan edge from node 10 to node 7 with capacity 8,\nan edge from node 10 to node 11 with capacity 13,\nan edge from node 10 to node 5 with capacity 3,\nan edge from node 10 to node 1 with capacity 3,\nan edge from node 11 to node 0 with capacity 12,\nan edge from node 11 to node 13 with capacity 16,\nan edge from node 11 to node 2 with capacity 5,\nan edge from node 11 to node 7 with capacity 1,\nan edge from node 11 to node 5 with capacity 6,\nan edge from node 11 to node 16 with capacity 2,\nan edge from node 11 to node 15 with capacity 13,\nan edge from node 11 to node 14 with capacity 11,\nan edge from node 12 to node 6 with capacity 8,\nan edge from node 12 to node 13 with capacity 20,\nan edge from node 12 to node 7 with capacity 9,\nan edge from node 12 to node 5 with capacity 11,\nan edge from node 12 to node 8 with capacity 3,\nan edge from node 12 to node 15 with capacity 5,\nan edge from node 12 to node 4 with capacity 15,\nan edge from node 13 to node 5 with capacity 9,\nan edge from node 13 to node 16 with capacity 13,\nan edge from node 13 to node 4 with capacity 7,\nan edge from node 13 to node 1 with capacity 17,\nan edge from node 14 to node 10 with capacity 12,\nan edge from node 15 to node 13 with capacity 2,\nan edge from node 15 to node 1 with capacity 6,\nan edge from node 16 to node 0 with capacity 4,\nan edge from node 16 to node 9 with capacity 19,\nan edge from node 16 to node 14 with capacity 7,\nWhat is the maximum flow from node 4 to node 1:"
            },
            {
                "from": "gpt",
                "value": "36."
            }
        ]
    },
    {
        "id": "flow-hard-graph570",
        "image": "data/flow/graph_visual/hard/graph570.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 4 with capacity 3,\nan edge from node 0 to node 7 with capacity 16,\nan edge from node 0 to node 13 with capacity 1,\nan edge from node 1 to node 4 with capacity 16,\nan edge from node 1 to node 0 with capacity 14,\nan edge from node 1 to node 5 with capacity 2,\nan edge from node 1 to node 2 with capacity 2,\nan edge from node 2 to node 4 with capacity 5,\nan edge from node 2 to node 9 with capacity 1,\nan edge from node 3 to node 5 with capacity 1,\nan edge from node 3 to node 9 with capacity 19,\nan edge from node 3 to node 10 with capacity 1,\nan edge from node 3 to node 14 with capacity 6,\nan edge from node 3 to node 12 with capacity 7,\nan edge from node 4 to node 6 with capacity 19,\nan edge from node 4 to node 2 with capacity 19,\nan edge from node 4 to node 1 with capacity 8,\nan edge from node 4 to node 7 with capacity 2,\nan edge from node 4 to node 11 with capacity 1,\nan edge from node 4 to node 12 with capacity 13,\nan edge from node 5 to node 3 with capacity 11,\nan edge from node 5 to node 6 with capacity 18,\nan edge from node 5 to node 9 with capacity 6,\nan edge from node 5 to node 1 with capacity 16,\nan edge from node 5 to node 11 with capacity 4,\nan edge from node 5 to node 12 with capacity 13,\nan edge from node 5 to node 13 with capacity 20,\nan edge from node 6 to node 1 with capacity 16,\nan edge from node 6 to node 7 with capacity 5,\nan edge from node 6 to node 11 with capacity 12,\nan edge from node 7 to node 9 with capacity 11,\nan edge from node 7 to node 1 with capacity 2,\nan edge from node 8 to node 1 with capacity 9,\nan edge from node 8 to node 12 with capacity 12,\nan edge from node 9 to node 10 with capacity 9,\nan edge from node 9 to node 2 with capacity 5,\nan edge from node 9 to node 14 with capacity 7,\nan edge from node 10 to node 9 with capacity 5,\nan edge from node 11 to node 3 with capacity 10,\nan edge from node 11 to node 6 with capacity 11,\nan edge from node 11 to node 1 with capacity 10,\nan edge from node 12 to node 4 with capacity 18,\nan edge from node 12 to node 5 with capacity 18,\nan edge from node 13 to node 9 with capacity 13,\nan edge from node 13 to node 7 with capacity 13,\nan edge from node 13 to node 14 with capacity 18,\nan edge from node 13 to node 8 with capacity 11,\nan edge from node 14 to node 6 with capacity 7,\nan edge from node 14 to node 5 with capacity 3,\nan edge from node 14 to node 1 with capacity 19,\nWhat is the maximum flow from node 13 to node 9:"
            },
            {
                "from": "gpt",
                "value": "51."
            }
        ]
    },
    {
        "id": "flow-hard-graph1069",
        "image": "data/flow/graph_visual/hard/graph1069.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 2 with capacity 13,\nan edge from node 0 to node 9 with capacity 17,\nan edge from node 0 to node 6 with capacity 17,\nan edge from node 0 to node 14 with capacity 5,\nan edge from node 1 to node 13 with capacity 10,\nan edge from node 1 to node 18 with capacity 9,\nan edge from node 1 to node 4 with capacity 10,\nan edge from node 1 to node 17 with capacity 19,\nan edge from node 2 to node 3 with capacity 16,\nan edge from node 2 to node 9 with capacity 14,\nan edge from node 2 to node 8 with capacity 12,\nan edge from node 2 to node 17 with capacity 12,\nan edge from node 3 to node 15 with capacity 17,\nan edge from node 3 to node 5 with capacity 19,\nan edge from node 3 to node 11 with capacity 5,\nan edge from node 3 to node 16 with capacity 7,\nan edge from node 3 to node 14 with capacity 19,\nan edge from node 3 to node 0 with capacity 14,\nan edge from node 3 to node 10 with capacity 14,\nan edge from node 3 to node 8 with capacity 1,\nan edge from node 4 to node 2 with capacity 19,\nan edge from node 4 to node 9 with capacity 9,\nan edge from node 4 to node 1 with capacity 12,\nan edge from node 4 to node 0 with capacity 5,\nan edge from node 4 to node 7 with capacity 13,\nan edge from node 5 to node 2 with capacity 4,\nan edge from node 5 to node 3 with capacity 4,\nan edge from node 5 to node 13 with capacity 1,\nan edge from node 5 to node 12 with capacity 12,\nan edge from node 5 to node 16 with capacity 17,\nan edge from node 5 to node 18 with capacity 15,\nan edge from node 5 to node 8 with capacity 16,\nan edge from node 6 to node 2 with capacity 6,\nan edge from node 6 to node 1 with capacity 6,\nan edge from node 7 to node 2 with capacity 1,\nan edge from node 7 to node 12 with capacity 18,\nan edge from node 7 to node 11 with capacity 16,\nan edge from node 7 to node 1 with capacity 4,\nan edge from node 7 to node 6 with capacity 6,\nan edge from node 7 to node 4 with capacity 13,\nan edge from node 7 to node 17 with capacity 1,\nan edge from node 8 to node 6 with capacity 2,\nan edge from node 8 to node 14 with capacity 15,\nan edge from node 8 to node 0 with capacity 5,\nan edge from node 8 to node 10 with capacity 7,\nan edge from node 9 to node 3 with capacity 2,\nan edge from node 9 to node 0 with capacity 18,\nan edge from node 9 to node 18 with capacity 19,\nan edge from node 10 to node 13 with capacity 19,\nan edge from node 10 to node 12 with capacity 8,\nan edge from node 10 to node 14 with capacity 1,\nan edge from node 10 to node 7 with capacity 13,\nan edge from node 11 to node 15 with capacity 17,\nan edge from node 11 to node 13 with capacity 10,\nan edge from node 11 to node 12 with capacity 1,\nan edge from node 11 to node 9 with capacity 4,\nan edge from node 11 to node 16 with capacity 9,\nan edge from node 11 to node 18 with capacity 1,\nan edge from node 11 to node 10 with capacity 2,\nan edge from node 11 to node 4 with capacity 4,\nan edge from node 12 to node 13 with capacity 6,\nan edge from node 12 to node 5 with capacity 7,\nan edge from node 12 to node 6 with capacity 16,\nan edge from node 12 to node 14 with capacity 17,\nan edge from node 12 to node 0 with capacity 19,\nan edge from node 12 to node 7 with capacity 6,\nan edge from node 13 to node 3 with capacity 7,\nan edge from node 13 to node 10 with capacity 14,\nan edge from node 13 to node 4 with capacity 9,\nan edge from node 13 to node 8 with capacity 17,\nan edge from node 14 to node 2 with capacity 12,\nan edge from node 14 to node 4 with capacity 9,\nan edge from node 14 to node 8 with capacity 5,\nan edge from node 15 to node 3 with capacity 15,\nan edge from node 15 to node 16 with capacity 9,\nan edge from node 15 to node 14 with capacity 14,\nan edge from node 15 to node 7 with capacity 16,\nan edge from node 15 to node 8 with capacity 19,\nan edge from node 15 to node 17 with capacity 19,\nan edge from node 16 to node 3 with capacity 8,\nan edge from node 16 to node 13 with capacity 2,\nan edge from node 16 to node 10 with capacity 5,\nan edge from node 16 to node 17 with capacity 18,\nan edge from node 17 to node 15 with capacity 8,\nan edge from node 17 to node 9 with capacity 6,\nan edge from node 17 to node 11 with capacity 4,\nan edge from node 17 to node 14 with capacity 8,\nan edge from node 17 to node 7 with capacity 13,\nan edge from node 18 to node 14 with capacity 6,\nan edge from node 18 to node 7 with capacity 12,\nan edge from node 18 to node 17 with capacity 4,\nWhat is the maximum flow from node 2 to node 0:"
            },
            {
                "from": "gpt",
                "value": "54."
            }
        ]
    },
    {
        "id": "flow-hard-graph617",
        "image": "data/flow/graph_visual/hard/graph617.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 1 with capacity 5,\nan edge from node 0 to node 15 with capacity 3,\nan edge from node 1 to node 0 with capacity 6,\nan edge from node 1 to node 8 with capacity 3,\nan edge from node 1 to node 6 with capacity 13,\nan edge from node 2 to node 0 with capacity 7,\nan edge from node 2 to node 13 with capacity 18,\nan edge from node 2 to node 1 with capacity 20,\nan edge from node 2 to node 3 with capacity 4,\nan edge from node 3 to node 13 with capacity 11,\nan edge from node 3 to node 10 with capacity 20,\nan edge from node 3 to node 1 with capacity 4,\nan edge from node 3 to node 2 with capacity 15,\nan edge from node 3 to node 7 with capacity 1,\nan edge from node 3 to node 15 with capacity 8,\nan edge from node 4 to node 1 with capacity 10,\nan edge from node 4 to node 8 with capacity 13,\nan edge from node 4 to node 9 with capacity 4,\nan edge from node 4 to node 7 with capacity 19,\nan edge from node 4 to node 15 with capacity 11,\nan edge from node 5 to node 2 with capacity 6,\nan edge from node 5 to node 3 with capacity 7,\nan edge from node 5 to node 15 with capacity 17,\nan edge from node 6 to node 0 with capacity 3,\nan edge from node 6 to node 11 with capacity 20,\nan edge from node 6 to node 10 with capacity 13,\nan edge from node 6 to node 3 with capacity 17,\nan edge from node 7 to node 6 with capacity 17,\nan edge from node 7 to node 5 with capacity 15,\nan edge from node 8 to node 0 with capacity 11,\nan edge from node 8 to node 11 with capacity 8,\nan edge from node 8 to node 14 with capacity 15,\nan edge from node 8 to node 2 with capacity 10,\nan edge from node 9 to node 1 with capacity 8,\nan edge from node 9 to node 14 with capacity 2,\nan edge from node 9 to node 6 with capacity 8,\nan edge from node 9 to node 7 with capacity 1,\nan edge from node 10 to node 1 with capacity 17,\nan edge from node 11 to node 13 with capacity 17,\nan edge from node 11 to node 8 with capacity 18,\nan edge from node 11 to node 5 with capacity 18,\nan edge from node 11 to node 15 with capacity 6,\nan edge from node 12 to node 0 with capacity 2,\nan edge from node 12 to node 14 with capacity 3,\nan edge from node 12 to node 5 with capacity 15,\nan edge from node 13 to node 10 with capacity 15,\nan edge from node 14 to node 0 with capacity 7,\nan edge from node 15 to node 2 with capacity 13,\nan edge from node 15 to node 6 with capacity 15,\nan edge from node 15 to node 7 with capacity 10,\nWhat is the maximum flow from node 6 to node 14:"
            },
            {
                "from": "gpt",
                "value": "15."
            }
        ]
    },
    {
        "id": "flow-hard-graph721",
        "image": "data/flow/graph_visual/hard/graph721.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 11 with capacity 17,\nan edge from node 0 to node 1 with capacity 8,\nan edge from node 0 to node 14 with capacity 12,\nan edge from node 1 to node 3 with capacity 11,\nan edge from node 1 to node 14 with capacity 1,\nan edge from node 1 to node 4 with capacity 7,\nan edge from node 1 to node 9 with capacity 9,\nan edge from node 2 to node 1 with capacity 16,\nan edge from node 2 to node 3 with capacity 20,\nan edge from node 2 to node 14 with capacity 18,\nan edge from node 2 to node 4 with capacity 3,\nan edge from node 2 to node 8 with capacity 18,\nan edge from node 2 to node 9 with capacity 7,\nan edge from node 2 to node 10 with capacity 13,\nan edge from node 3 to node 12 with capacity 14,\nan edge from node 3 to node 1 with capacity 17,\nan edge from node 3 to node 14 with capacity 8,\nan edge from node 3 to node 7 with capacity 13,\nan edge from node 3 to node 6 with capacity 18,\nan edge from node 3 to node 13 with capacity 4,\nan edge from node 4 to node 0 with capacity 19,\nan edge from node 4 to node 1 with capacity 12,\nan edge from node 4 to node 6 with capacity 14,\nan edge from node 4 to node 5 with capacity 17,\nan edge from node 4 to node 13 with capacity 14,\nan edge from node 5 to node 15 with capacity 7,\nan edge from node 5 to node 8 with capacity 5,\nan edge from node 5 to node 13 with capacity 3,\nan edge from node 6 to node 14 with capacity 7,\nan edge from node 7 to node 1 with capacity 12,\nan edge from node 7 to node 16 with capacity 9,\nan edge from node 7 to node 13 with capacity 2,\nan edge from node 8 to node 11 with capacity 8,\nan edge from node 8 to node 4 with capacity 18,\nan edge from node 8 to node 10 with capacity 1,\nan edge from node 8 to node 16 with capacity 7,\nan edge from node 9 to node 11 with capacity 8,\nan edge from node 9 to node 1 with capacity 17,\nan edge from node 9 to node 4 with capacity 17,\nan edge from node 9 to node 6 with capacity 15,\nan edge from node 9 to node 5 with capacity 17,\nan edge from node 9 to node 13 with capacity 1,\nan edge from node 10 to node 0 with capacity 13,\nan edge from node 10 to node 2 with capacity 17,\nan edge from node 10 to node 7 with capacity 17,\nan edge from node 10 to node 6 with capacity 6,\nan edge from node 11 to node 3 with capacity 1,\nan edge from node 11 to node 4 with capacity 2,\nan edge from node 11 to node 8 with capacity 12,\nan edge from node 11 to node 10 with capacity 17,\nan edge from node 12 to node 11 with capacity 2,\nan edge from node 12 to node 15 with capacity 15,\nan edge from node 12 to node 2 with capacity 8,\nan edge from node 12 to node 14 with capacity 5,\nan edge from node 12 to node 4 with capacity 7,\nan edge from node 12 to node 9 with capacity 2,\nan edge from node 13 to node 15 with capacity 16,\nan edge from node 13 to node 14 with capacity 14,\nan edge from node 13 to node 8 with capacity 5,\nan edge from node 14 to node 2 with capacity 6,\nan edge from node 14 to node 3 with capacity 18,\nan edge from node 14 to node 6 with capacity 13,\nan edge from node 14 to node 9 with capacity 19,\nan edge from node 14 to node 16 with capacity 20,\nan edge from node 15 to node 12 with capacity 9,\nan edge from node 15 to node 1 with capacity 2,\nan edge from node 15 to node 14 with capacity 1,\nan edge from node 15 to node 10 with capacity 14,\nan edge from node 15 to node 13 with capacity 10,\nan edge from node 16 to node 0 with capacity 15,\nan edge from node 16 to node 7 with capacity 12,\nan edge from node 16 to node 6 with capacity 16,\nan edge from node 16 to node 8 with capacity 6,\nWhat is the maximum flow from node 4 to node 13:"
            },
            {
                "from": "gpt",
                "value": "34."
            }
        ]
    },
    {
        "id": "flow-hard-graph124",
        "image": "data/flow/graph_visual/hard/graph124.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 5 with capacity 4,\nan edge from node 0 to node 3 with capacity 16,\nan edge from node 1 to node 0 with capacity 2,\nan edge from node 1 to node 10 with capacity 18,\nan edge from node 1 to node 7 with capacity 16,\nan edge from node 2 to node 8 with capacity 5,\nan edge from node 2 to node 6 with capacity 11,\nan edge from node 2 to node 7 with capacity 7,\nan edge from node 2 to node 3 with capacity 2,\nan edge from node 2 to node 11 with capacity 12,\nan edge from node 3 to node 8 with capacity 11,\nan edge from node 3 to node 7 with capacity 9,\nan edge from node 4 to node 8 with capacity 6,\nan edge from node 4 to node 6 with capacity 12,\nan edge from node 4 to node 0 with capacity 10,\nan edge from node 4 to node 2 with capacity 11,\nan edge from node 5 to node 6 with capacity 14,\nan edge from node 5 to node 1 with capacity 19,\nan edge from node 5 to node 9 with capacity 16,\nan edge from node 5 to node 7 with capacity 14,\nan edge from node 6 to node 7 with capacity 6,\nan edge from node 6 to node 3 with capacity 16,\nan edge from node 6 to node 2 with capacity 13,\nan edge from node 7 to node 5 with capacity 16,\nan edge from node 7 to node 0 with capacity 19,\nan edge from node 7 to node 10 with capacity 14,\nan edge from node 7 to node 11 with capacity 4,\nan edge from node 8 to node 4 with capacity 6,\nan edge from node 9 to node 5 with capacity 14,\nan edge from node 10 to node 5 with capacity 13,\nan edge from node 10 to node 1 with capacity 4,\nan edge from node 11 to node 6 with capacity 14,\nan edge from node 11 to node 7 with capacity 12,\nWhat is the maximum flow from node 1 to node 6:"
            },
            {
                "from": "gpt",
                "value": "24."
            }
        ]
    },
    {
        "id": "flow-hard-graph796",
        "image": "data/flow/graph_visual/hard/graph796.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 16 with capacity 12,\nan edge from node 0 to node 14 with capacity 4,\nan edge from node 0 to node 6 with capacity 12,\nan edge from node 0 to node 7 with capacity 20,\nan edge from node 0 to node 10 with capacity 2,\nan edge from node 0 to node 12 with capacity 1,\nan edge from node 2 to node 13 with capacity 20,\nan edge from node 2 to node 14 with capacity 11,\nan edge from node 2 to node 6 with capacity 4,\nan edge from node 2 to node 7 with capacity 12,\nan edge from node 2 to node 0 with capacity 15,\nan edge from node 3 to node 16 with capacity 13,\nan edge from node 3 to node 5 with capacity 1,\nan edge from node 3 to node 9 with capacity 3,\nan edge from node 3 to node 12 with capacity 19,\nan edge from node 3 to node 4 with capacity 19,\nan edge from node 4 to node 13 with capacity 1,\nan edge from node 4 to node 5 with capacity 14,\nan edge from node 4 to node 2 with capacity 8,\nan edge from node 4 to node 10 with capacity 14,\nan edge from node 5 to node 8 with capacity 19,\nan edge from node 5 to node 13 with capacity 1,\nan edge from node 5 to node 4 with capacity 2,\nan edge from node 5 to node 1 with capacity 6,\nan edge from node 6 to node 8 with capacity 5,\nan edge from node 6 to node 5 with capacity 10,\nan edge from node 6 to node 9 with capacity 5,\nan edge from node 6 to node 10 with capacity 16,\nan edge from node 6 to node 12 with capacity 13,\nan edge from node 6 to node 0 with capacity 16,\nan edge from node 7 to node 11 with capacity 2,\nan edge from node 7 to node 13 with capacity 9,\nan edge from node 7 to node 0 with capacity 1,\nan edge from node 8 to node 16 with capacity 15,\nan edge from node 8 to node 11 with capacity 16,\nan edge from node 8 to node 14 with capacity 4,\nan edge from node 8 to node 7 with capacity 18,\nan edge from node 8 to node 10 with capacity 19,\nan edge from node 8 to node 1 with capacity 12,\nan edge from node 9 to node 10 with capacity 14,\nan edge from node 10 to node 16 with capacity 14,\nan edge from node 10 to node 8 with capacity 13,\nan edge from node 10 to node 2 with capacity 17,\nan edge from node 10 to node 3 with capacity 20,\nan edge from node 10 to node 4 with capacity 4,\nan edge from node 11 to node 13 with capacity 1,\nan edge from node 11 to node 5 with capacity 11,\nan edge from node 11 to node 6 with capacity 9,\nan edge from node 11 to node 2 with capacity 9,\nan edge from node 11 to node 7 with capacity 9,\nan edge from node 11 to node 3 with capacity 20,\nan edge from node 11 to node 1 with capacity 18,\nan edge from node 12 to node 8 with capacity 18,\nan edge from node 12 to node 11 with capacity 16,\nan edge from node 12 to node 2 with capacity 18,\nan edge from node 12 to node 1 with capacity 5,\nan edge from node 13 to node 16 with capacity 5,\nan edge from node 13 to node 8 with capacity 7,\nan edge from node 13 to node 14 with capacity 1,\nan edge from node 13 to node 6 with capacity 6,\nan edge from node 13 to node 7 with capacity 11,\nan edge from node 13 to node 10 with capacity 1,\nan edge from node 13 to node 12 with capacity 15,\nan edge from node 13 to node 3 with capacity 11,\nan edge from node 13 to node 15 with capacity 16,\nan edge from node 13 to node 4 with capacity 13,\nan edge from node 13 to node 1 with capacity 8,\nan edge from node 14 to node 11 with capacity 11,\nan edge from node 14 to node 3 with capacity 16,\nan edge from node 14 to node 4 with capacity 6,\nan edge from node 15 to node 8 with capacity 3,\nan edge from node 15 to node 10 with capacity 13,\nan edge from node 15 to node 0 with capacity 16,\nan edge from node 15 to node 4 with capacity 12,\nan edge from node 16 to node 8 with capacity 3,\nan edge from node 16 to node 11 with capacity 13,\nan edge from node 16 to node 13 with capacity 19,\nWhat is the maximum flow from node 7 to node 9:"
            },
            {
                "from": "gpt",
                "value": "8."
            }
        ]
    },
    {
        "id": "flow-hard-graph1117",
        "image": "data/flow/graph_visual/hard/graph1117.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 8 with capacity 10,\nan edge from node 1 to node 3 with capacity 20,\nan edge from node 1 to node 4 with capacity 20,\nan edge from node 1 to node 15 with capacity 4,\nan edge from node 1 to node 13 with capacity 13,\nan edge from node 1 to node 0 with capacity 6,\nan edge from node 2 to node 17 with capacity 5,\nan edge from node 2 to node 1 with capacity 3,\nan edge from node 2 to node 12 with capacity 17,\nan edge from node 3 to node 19 with capacity 2,\nan edge from node 3 to node 17 with capacity 8,\nan edge from node 3 to node 4 with capacity 18,\nan edge from node 3 to node 18 with capacity 16,\nan edge from node 3 to node 15 with capacity 17,\nan edge from node 3 to node 7 with capacity 18,\nan edge from node 3 to node 5 with capacity 7,\nan edge from node 4 to node 19 with capacity 8,\nan edge from node 4 to node 1 with capacity 3,\nan edge from node 4 to node 18 with capacity 17,\nan edge from node 4 to node 15 with capacity 15,\nan edge from node 4 to node 8 with capacity 7,\nan edge from node 5 to node 10 with capacity 7,\nan edge from node 5 to node 18 with capacity 11,\nan edge from node 5 to node 11 with capacity 7,\nan edge from node 5 to node 15 with capacity 2,\nan edge from node 5 to node 8 with capacity 4,\nan edge from node 5 to node 0 with capacity 1,\nan edge from node 6 to node 19 with capacity 18,\nan edge from node 6 to node 11 with capacity 20,\nan edge from node 6 to node 2 with capacity 6,\nan edge from node 6 to node 8 with capacity 13,\nan edge from node 6 to node 13 with capacity 2,\nan edge from node 7 to node 19 with capacity 5,\nan edge from node 7 to node 1 with capacity 20,\nan edge from node 7 to node 14 with capacity 13,\nan edge from node 7 to node 11 with capacity 4,\nan edge from node 7 to node 6 with capacity 2,\nan edge from node 8 to node 3 with capacity 11,\nan edge from node 8 to node 4 with capacity 1,\nan edge from node 8 to node 7 with capacity 12,\nan edge from node 8 to node 12 with capacity 9,\nan edge from node 9 to node 17 with capacity 9,\nan edge from node 9 to node 5 with capacity 12,\nan edge from node 10 to node 1 with capacity 4,\nan edge from node 10 to node 0 with capacity 20,\nan edge from node 11 to node 2 with capacity 8,\nan edge from node 11 to node 8 with capacity 17,\nan edge from node 11 to node 0 with capacity 18,\nan edge from node 12 to node 1 with capacity 15,\nan edge from node 12 to node 4 with capacity 15,\nan edge from node 12 to node 9 with capacity 16,\nan edge from node 13 to node 19 with capacity 5,\nan edge from node 13 to node 14 with capacity 1,\nan edge from node 13 to node 6 with capacity 3,\nan edge from node 13 to node 8 with capacity 14,\nan edge from node 14 to node 19 with capacity 10,\nan edge from node 14 to node 3 with capacity 15,\nan edge from node 14 to node 1 with capacity 1,\nan edge from node 14 to node 6 with capacity 2,\nan edge from node 14 to node 12 with capacity 9,\nan edge from node 14 to node 0 with capacity 8,\nan edge from node 15 to node 3 with capacity 17,\nan edge from node 15 to node 17 with capacity 3,\nan edge from node 15 to node 11 with capacity 7,\nan edge from node 15 to node 2 with capacity 12,\nan edge from node 15 to node 5 with capacity 12,\nan edge from node 16 to node 18 with capacity 12,\nan edge from node 16 to node 15 with capacity 20,\nan edge from node 16 to node 13 with capacity 9,\nan edge from node 16 to node 0 with capacity 9,\nan edge from node 17 to node 19 with capacity 14,\nan edge from node 17 to node 10 with capacity 2,\nan edge from node 17 to node 9 with capacity 14,\nan edge from node 17 to node 2 with capacity 8,\nan edge from node 17 to node 13 with capacity 3,\nan edge from node 17 to node 16 with capacity 6,\nan edge from node 18 to node 14 with capacity 7,\nan edge from node 18 to node 9 with capacity 10,\nan edge from node 18 to node 11 with capacity 13,\nan edge from node 18 to node 2 with capacity 14,\nan edge from node 18 to node 15 with capacity 13,\nan edge from node 18 to node 5 with capacity 4,\nan edge from node 18 to node 12 with capacity 9,\nan edge from node 19 to node 17 with capacity 14,\nan edge from node 19 to node 10 with capacity 17,\nan edge from node 19 to node 1 with capacity 9,\nan edge from node 19 to node 18 with capacity 20,\nan edge from node 19 to node 14 with capacity 14,\nan edge from node 19 to node 11 with capacity 6,\nan edge from node 19 to node 6 with capacity 5,\nWhat is the maximum flow from node 14 to node 5:"
            },
            {
                "from": "gpt",
                "value": "35."
            }
        ]
    },
    {
        "id": "flow-hard-graph549",
        "image": "data/flow/graph_visual/hard/graph549.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 14 with capacity 15,\nan edge from node 0 to node 12 with capacity 1,\nan edge from node 0 to node 5 with capacity 10,\nan edge from node 0 to node 4 with capacity 14,\nan edge from node 1 to node 12 with capacity 2,\nan edge from node 1 to node 6 with capacity 15,\nan edge from node 2 to node 12 with capacity 12,\nan edge from node 2 to node 0 with capacity 6,\nan edge from node 2 to node 6 with capacity 18,\nan edge from node 2 to node 7 with capacity 13,\nan edge from node 2 to node 4 with capacity 8,\nan edge from node 3 to node 1 with capacity 13,\nan edge from node 3 to node 0 with capacity 12,\nan edge from node 3 to node 10 with capacity 11,\nan edge from node 4 to node 0 with capacity 18,\nan edge from node 4 to node 6 with capacity 2,\nan edge from node 4 to node 5 with capacity 20,\nan edge from node 5 to node 14 with capacity 8,\nan edge from node 5 to node 13 with capacity 9,\nan edge from node 5 to node 12 with capacity 1,\nan edge from node 5 to node 6 with capacity 12,\nan edge from node 5 to node 7 with capacity 10,\nan edge from node 5 to node 2 with capacity 19,\nan edge from node 5 to node 4 with capacity 1,\nan edge from node 7 to node 11 with capacity 17,\nan edge from node 7 to node 3 with capacity 12,\nan edge from node 8 to node 14 with capacity 20,\nan edge from node 8 to node 13 with capacity 1,\nan edge from node 8 to node 12 with capacity 6,\nan edge from node 8 to node 0 with capacity 16,\nan edge from node 8 to node 9 with capacity 12,\nan edge from node 8 to node 4 with capacity 8,\nan edge from node 9 to node 11 with capacity 20,\nan edge from node 9 to node 0 with capacity 17,\nan edge from node 9 to node 7 with capacity 1,\nan edge from node 9 to node 2 with capacity 13,\nan edge from node 10 to node 0 with capacity 16,\nan edge from node 10 to node 9 with capacity 3,\nan edge from node 10 to node 4 with capacity 7,\nan edge from node 11 to node 2 with capacity 16,\nan edge from node 12 to node 11 with capacity 5,\nan edge from node 12 to node 7 with capacity 1,\nan edge from node 12 to node 2 with capacity 2,\nan edge from node 13 to node 14 with capacity 19,\nan edge from node 13 to node 0 with capacity 15,\nan edge from node 13 to node 6 with capacity 18,\nan edge from node 13 to node 5 with capacity 18,\nan edge from node 14 to node 1 with capacity 20,\nan edge from node 14 to node 12 with capacity 5,\nan edge from node 14 to node 8 with capacity 15,\nan edge from node 14 to node 3 with capacity 17,\nWhat is the maximum flow from node 13 to node 6:"
            },
            {
                "from": "gpt",
                "value": "65."
            }
        ]
    },
    {
        "id": "flow-hard-graph409",
        "image": "data/flow/graph_visual/hard/graph409.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 12 with capacity 3,\nan edge from node 0 to node 11 with capacity 8,\nan edge from node 0 to node 1 with capacity 7,\nan edge from node 0 to node 13 with capacity 17,\nan edge from node 1 to node 8 with capacity 4,\nan edge from node 1 to node 9 with capacity 7,\nan edge from node 1 to node 6 with capacity 20,\nan edge from node 1 to node 11 with capacity 14,\nan edge from node 1 to node 3 with capacity 2,\nan edge from node 1 to node 2 with capacity 20,\nan edge from node 2 to node 9 with capacity 14,\nan edge from node 2 to node 4 with capacity 17,\nan edge from node 2 to node 3 with capacity 2,\nan edge from node 2 to node 1 with capacity 15,\nan edge from node 3 to node 0 with capacity 3,\nan edge from node 3 to node 11 with capacity 12,\nan edge from node 4 to node 8 with capacity 4,\nan edge from node 4 to node 10 with capacity 12,\nan edge from node 4 to node 3 with capacity 18,\nan edge from node 4 to node 2 with capacity 1,\nan edge from node 4 to node 13 with capacity 9,\nan edge from node 5 to node 8 with capacity 18,\nan edge from node 5 to node 9 with capacity 4,\nan edge from node 5 to node 10 with capacity 12,\nan edge from node 5 to node 2 with capacity 1,\nan edge from node 5 to node 13 with capacity 4,\nan edge from node 6 to node 1 with capacity 11,\nan edge from node 6 to node 13 with capacity 17,\nan edge from node 7 to node 9 with capacity 11,\nan edge from node 7 to node 12 with capacity 18,\nan edge from node 7 to node 0 with capacity 9,\nan edge from node 8 to node 6 with capacity 4,\nan edge from node 8 to node 10 with capacity 15,\nan edge from node 8 to node 12 with capacity 8,\nan edge from node 8 to node 13 with capacity 8,\nan edge from node 9 to node 1 with capacity 20,\nan edge from node 10 to node 6 with capacity 13,\nan edge from node 10 to node 12 with capacity 5,\nan edge from node 10 to node 0 with capacity 14,\nan edge from node 10 to node 7 with capacity 9,\nan edge from node 10 to node 13 with capacity 18,\nan edge from node 11 to node 5 with capacity 4,\nan edge from node 11 to node 4 with capacity 11,\nan edge from node 11 to node 3 with capacity 10,\nan edge from node 11 to node 2 with capacity 18,\nan edge from node 11 to node 13 with capacity 15,\nan edge from node 12 to node 8 with capacity 16,\nan edge from node 12 to node 6 with capacity 10,\nan edge from node 12 to node 4 with capacity 8,\nan edge from node 12 to node 3 with capacity 8,\nan edge from node 12 to node 1 with capacity 6,\nan edge from node 12 to node 2 with capacity 11,\nWhat is the maximum flow from node 7 to node 0:"
            },
            {
                "from": "gpt",
                "value": "26."
            }
        ]
    },
    {
        "id": "flow-hard-graph39",
        "image": "data/flow/graph_visual/hard/graph39.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 6 with capacity 11,\nan edge from node 1 to node 8 with capacity 20,\nan edge from node 2 to node 5 with capacity 4,\nan edge from node 2 to node 9 with capacity 11,\nan edge from node 2 to node 8 with capacity 11,\nan edge from node 3 to node 2 with capacity 10,\nan edge from node 3 to node 6 with capacity 16,\nan edge from node 3 to node 0 with capacity 5,\nan edge from node 3 to node 1 with capacity 20,\nan edge from node 4 to node 9 with capacity 1,\nan edge from node 4 to node 10 with capacity 10,\nan edge from node 5 to node 7 with capacity 1,\nan edge from node 6 to node 5 with capacity 5,\nan edge from node 7 to node 6 with capacity 11,\nan edge from node 7 to node 0 with capacity 16,\nan edge from node 8 to node 6 with capacity 3,\nan edge from node 9 to node 5 with capacity 1,\nan edge from node 9 to node 4 with capacity 4,\nan edge from node 10 to node 3 with capacity 6,\nan edge from node 10 to node 4 with capacity 18,\nWhat is the maximum flow from node 2 to node 6:"
            },
            {
                "from": "gpt",
                "value": "8."
            }
        ]
    },
    {
        "id": "flow-hard-graph206",
        "image": "data/flow/graph_visual/hard/graph206.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 9 with capacity 18,\nan edge from node 0 to node 1 with capacity 1,\nan edge from node 0 to node 10 with capacity 20,\nan edge from node 1 to node 9 with capacity 20,\nan edge from node 1 to node 7 with capacity 4,\nan edge from node 1 to node 6 with capacity 2,\nan edge from node 1 to node 0 with capacity 7,\nan edge from node 1 to node 2 with capacity 2,\nan edge from node 2 to node 6 with capacity 1,\nan edge from node 2 to node 1 with capacity 14,\nan edge from node 2 to node 5 with capacity 18,\nan edge from node 2 to node 11 with capacity 15,\nan edge from node 2 to node 3 with capacity 1,\nan edge from node 3 to node 4 with capacity 10,\nan edge from node 3 to node 2 with capacity 15,\nan edge from node 4 to node 7 with capacity 13,\nan edge from node 5 to node 2 with capacity 14,\nan edge from node 6 to node 7 with capacity 18,\nan edge from node 6 to node 0 with capacity 11,\nan edge from node 6 to node 10 with capacity 12,\nan edge from node 6 to node 11 with capacity 14,\nan edge from node 6 to node 3 with capacity 3,\nan edge from node 7 to node 6 with capacity 14,\nan edge from node 7 to node 10 with capacity 20,\nan edge from node 8 to node 6 with capacity 4,\nan edge from node 8 to node 0 with capacity 13,\nan edge from node 9 to node 7 with capacity 7,\nan edge from node 9 to node 0 with capacity 4,\nan edge from node 9 to node 10 with capacity 18,\nan edge from node 9 to node 4 with capacity 16,\nan edge from node 9 to node 2 with capacity 13,\nan edge from node 10 to node 2 with capacity 14,\nan edge from node 11 to node 7 with capacity 4,\nWhat is the maximum flow from node 10 to node 3:"
            },
            {
                "from": "gpt",
                "value": "4."
            }
        ]
    },
    {
        "id": "flow-hard-graph980",
        "image": "data/flow/graph_visual/hard/graph980.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 18 with capacity 9,\nan edge from node 0 to node 12 with capacity 11,\nan edge from node 0 to node 1 with capacity 15,\nan edge from node 0 to node 4 with capacity 2,\nan edge from node 1 to node 2 with capacity 12,\nan edge from node 1 to node 11 with capacity 16,\nan edge from node 1 to node 5 with capacity 7,\nan edge from node 1 to node 13 with capacity 9,\nan edge from node 1 to node 10 with capacity 15,\nan edge from node 2 to node 8 with capacity 1,\nan edge from node 2 to node 0 with capacity 8,\nan edge from node 2 to node 5 with capacity 8,\nan edge from node 2 to node 3 with capacity 2,\nan edge from node 2 to node 9 with capacity 8,\nan edge from node 2 to node 4 with capacity 1,\nan edge from node 2 to node 14 with capacity 10,\nan edge from node 3 to node 16 with capacity 9,\nan edge from node 3 to node 8 with capacity 19,\nan edge from node 3 to node 15 with capacity 12,\nan edge from node 3 to node 0 with capacity 17,\nan edge from node 3 to node 9 with capacity 18,\nan edge from node 3 to node 4 with capacity 19,\nan edge from node 3 to node 14 with capacity 11,\nan edge from node 4 to node 7 with capacity 11,\nan edge from node 4 to node 3 with capacity 6,\nan edge from node 4 to node 9 with capacity 16,\nan edge from node 4 to node 10 with capacity 9,\nan edge from node 5 to node 8 with capacity 3,\nan edge from node 5 to node 15 with capacity 9,\nan edge from node 5 to node 3 with capacity 9,\nan edge from node 5 to node 10 with capacity 5,\nan edge from node 6 to node 15 with capacity 16,\nan edge from node 6 to node 12 with capacity 17,\nan edge from node 6 to node 5 with capacity 5,\nan edge from node 6 to node 7 with capacity 15,\nan edge from node 6 to node 1 with capacity 2,\nan edge from node 7 to node 18 with capacity 15,\nan edge from node 7 to node 17 with capacity 12,\nan edge from node 7 to node 1 with capacity 20,\nan edge from node 7 to node 10 with capacity 3,\nan edge from node 8 to node 11 with capacity 13,\nan edge from node 8 to node 14 with capacity 15,\nan edge from node 9 to node 0 with capacity 3,\nan edge from node 9 to node 7 with capacity 4,\nan edge from node 9 to node 13 with capacity 1,\nan edge from node 9 to node 14 with capacity 9,\nan edge from node 9 to node 10 with capacity 19,\nan edge from node 10 to node 8 with capacity 12,\nan edge from node 10 to node 2 with capacity 3,\nan edge from node 10 to node 12 with capacity 14,\nan edge from node 10 to node 7 with capacity 20,\nan edge from node 10 to node 3 with capacity 11,\nan edge from node 10 to node 9 with capacity 5,\nan edge from node 11 to node 18 with capacity 14,\nan edge from node 11 to node 5 with capacity 20,\nan edge from node 11 to node 17 with capacity 12,\nan edge from node 11 to node 3 with capacity 15,\nan edge from node 11 to node 13 with capacity 1,\nan edge from node 11 to node 14 with capacity 7,\nan edge from node 12 to node 8 with capacity 11,\nan edge from node 12 to node 2 with capacity 5,\nan edge from node 12 to node 11 with capacity 1,\nan edge from node 12 to node 0 with capacity 1,\nan edge from node 12 to node 5 with capacity 4,\nan edge from node 12 to node 1 with capacity 18,\nan edge from node 12 to node 9 with capacity 20,\nan edge from node 12 to node 14 with capacity 6,\nan edge from node 12 to node 10 with capacity 2,\nan edge from node 13 to node 0 with capacity 16,\nan edge from node 13 to node 5 with capacity 5,\nan edge from node 13 to node 9 with capacity 7,\nan edge from node 13 to node 10 with capacity 4,\nan edge from node 14 to node 8 with capacity 3,\nan edge from node 14 to node 11 with capacity 8,\nan edge from node 14 to node 12 with capacity 16,\nan edge from node 14 to node 5 with capacity 6,\nan edge from node 14 to node 7 with capacity 11,\nan edge from node 14 to node 13 with capacity 9,\nan edge from node 14 to node 4 with capacity 16,\nan edge from node 15 to node 0 with capacity 2,\nan edge from node 15 to node 4 with capacity 11,\nan edge from node 16 to node 6 with capacity 6,\nan edge from node 16 to node 18 with capacity 8,\nan edge from node 16 to node 12 with capacity 13,\nan edge from node 16 to node 9 with capacity 9,\nan edge from node 17 to node 18 with capacity 4,\nan edge from node 17 to node 8 with capacity 14,\nan edge from node 17 to node 0 with capacity 8,\nan edge from node 18 to node 11 with capacity 15,\nan edge from node 18 to node 12 with capacity 1,\nan edge from node 18 to node 3 with capacity 14,\nan edge from node 18 to node 9 with capacity 5,\nWhat is the maximum flow from node 7 to node 3:"
            },
            {
                "from": "gpt",
                "value": "50."
            }
        ]
    },
    {
        "id": "flow-hard-graph654",
        "image": "data/flow/graph_visual/hard/graph654.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 6 with capacity 11,\nan edge from node 0 to node 4 with capacity 4,\nan edge from node 0 to node 15 with capacity 11,\nan edge from node 0 to node 7 with capacity 6,\nan edge from node 0 to node 3 with capacity 19,\nan edge from node 0 to node 10 with capacity 18,\nan edge from node 1 to node 5 with capacity 4,\nan edge from node 1 to node 6 with capacity 14,\nan edge from node 1 to node 11 with capacity 14,\nan edge from node 1 to node 7 with capacity 8,\nan edge from node 1 to node 0 with capacity 18,\nan edge from node 2 to node 11 with capacity 4,\nan edge from node 2 to node 14 with capacity 16,\nan edge from node 2 to node 10 with capacity 15,\nan edge from node 3 to node 5 with capacity 20,\nan edge from node 3 to node 9 with capacity 10,\nan edge from node 3 to node 1 with capacity 12,\nan edge from node 4 to node 12 with capacity 12,\nan edge from node 4 to node 13 with capacity 3,\nan edge from node 4 to node 14 with capacity 16,\nan edge from node 4 to node 0 with capacity 6,\nan edge from node 5 to node 11 with capacity 17,\nan edge from node 5 to node 12 with capacity 8,\nan edge from node 5 to node 3 with capacity 11,\nan edge from node 5 to node 10 with capacity 16,\nan edge from node 6 to node 9 with capacity 18,\nan edge from node 6 to node 11 with capacity 12,\nan edge from node 6 to node 14 with capacity 14,\nan edge from node 6 to node 0 with capacity 20,\nan edge from node 7 to node 12 with capacity 13,\nan edge from node 7 to node 13 with capacity 16,\nan edge from node 7 to node 2 with capacity 15,\nan edge from node 7 to node 0 with capacity 14,\nan edge from node 8 to node 5 with capacity 13,\nan edge from node 8 to node 11 with capacity 9,\nan edge from node 8 to node 4 with capacity 6,\nan edge from node 8 to node 13 with capacity 12,\nan edge from node 8 to node 7 with capacity 5,\nan edge from node 8 to node 2 with capacity 11,\nan edge from node 10 to node 12 with capacity 1,\nan edge from node 10 to node 4 with capacity 20,\nan edge from node 10 to node 1 with capacity 16,\nan edge from node 10 to node 3 with capacity 20,\nan edge from node 11 to node 12 with capacity 20,\nan edge from node 11 to node 4 with capacity 19,\nan edge from node 11 to node 1 with capacity 10,\nan edge from node 11 to node 7 with capacity 19,\nan edge from node 12 to node 5 with capacity 2,\nan edge from node 12 to node 11 with capacity 2,\nan edge from node 12 to node 13 with capacity 19,\nan edge from node 12 to node 14 with capacity 19,\nan edge from node 12 to node 7 with capacity 9,\nan edge from node 13 to node 6 with capacity 12,\nan edge from node 13 to node 0 with capacity 12,\nan edge from node 14 to node 6 with capacity 18,\nan edge from node 14 to node 7 with capacity 16,\nan edge from node 14 to node 0 with capacity 9,\nan edge from node 15 to node 5 with capacity 12,\nan edge from node 15 to node 9 with capacity 12,\nan edge from node 15 to node 3 with capacity 18,\nan edge from node 15 to node 10 with capacity 5,\nan edge from node 15 to node 0 with capacity 8,\nWhat is the maximum flow from node 7 to node 0:"
            },
            {
                "from": "gpt",
                "value": "58."
            }
        ]
    },
    {
        "id": "flow-hard-graph139",
        "image": "data/flow/graph_visual/hard/graph139.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 7 with capacity 15,\nan edge from node 0 to node 4 with capacity 2,\nan edge from node 0 to node 5 with capacity 4,\nan edge from node 0 to node 8 with capacity 16,\nan edge from node 1 to node 6 with capacity 6,\nan edge from node 1 to node 11 with capacity 7,\nan edge from node 1 to node 10 with capacity 6,\nan edge from node 2 to node 6 with capacity 2,\nan edge from node 2 to node 4 with capacity 11,\nan edge from node 2 to node 3 with capacity 14,\nan edge from node 2 to node 5 with capacity 10,\nan edge from node 2 to node 0 with capacity 3,\nan edge from node 3 to node 4 with capacity 4,\nan edge from node 3 to node 0 with capacity 15,\nan edge from node 4 to node 3 with capacity 9,\nan edge from node 4 to node 0 with capacity 12,\nan edge from node 5 to node 4 with capacity 20,\nan edge from node 5 to node 2 with capacity 14,\nan edge from node 6 to node 10 with capacity 7,\nan edge from node 6 to node 3 with capacity 8,\nan edge from node 6 to node 2 with capacity 18,\nan edge from node 7 to node 10 with capacity 10,\nan edge from node 7 to node 1 with capacity 1,\nan edge from node 7 to node 4 with capacity 14,\nan edge from node 7 to node 0 with capacity 5,\nan edge from node 8 to node 11 with capacity 8,\nan edge from node 8 to node 7 with capacity 4,\nan edge from node 9 to node 11 with capacity 3,\nan edge from node 9 to node 0 with capacity 14,\nan edge from node 10 to node 6 with capacity 1,\nan edge from node 10 to node 7 with capacity 3,\nan edge from node 10 to node 0 with capacity 11,\nan edge from node 11 to node 9 with capacity 9,\nan edge from node 11 to node 3 with capacity 16,\nan edge from node 11 to node 2 with capacity 14,\nWhat is the maximum flow from node 7 to node 6:"
            },
            {
                "from": "gpt",
                "value": "4."
            }
        ]
    },
    {
        "id": "flow-hard-graph436",
        "image": "data/flow/graph_visual/hard/graph436.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 12 with capacity 17,\nan edge from node 0 to node 6 with capacity 19,\nan edge from node 0 to node 11 with capacity 2,\nan edge from node 0 to node 8 with capacity 16,\nan edge from node 1 to node 8 with capacity 6,\nan edge from node 2 to node 1 with capacity 19,\nan edge from node 3 to node 0 with capacity 10,\nan edge from node 3 to node 2 with capacity 9,\nan edge from node 3 to node 11 with capacity 2,\nan edge from node 4 to node 0 with capacity 14,\nan edge from node 4 to node 3 with capacity 9,\nan edge from node 4 to node 1 with capacity 18,\nan edge from node 5 to node 0 with capacity 4,\nan edge from node 5 to node 13 with capacity 20,\nan edge from node 5 to node 3 with capacity 1,\nan edge from node 5 to node 6 with capacity 11,\nan edge from node 5 to node 11 with capacity 20,\nan edge from node 6 to node 3 with capacity 13,\nan edge from node 6 to node 10 with capacity 14,\nan edge from node 6 to node 12 with capacity 18,\nan edge from node 6 to node 2 with capacity 3,\nan edge from node 6 to node 5 with capacity 9,\nan edge from node 8 to node 10 with capacity 1,\nan edge from node 8 to node 2 with capacity 20,\nan edge from node 8 to node 5 with capacity 5,\nan edge from node 9 to node 0 with capacity 7,\nan edge from node 9 to node 3 with capacity 18,\nan edge from node 9 to node 8 with capacity 12,\nan edge from node 9 to node 5 with capacity 17,\nan edge from node 10 to node 3 with capacity 2,\nan edge from node 10 to node 12 with capacity 8,\nan edge from node 10 to node 1 with capacity 9,\nan edge from node 10 to node 7 with capacity 16,\nan edge from node 11 to node 0 with capacity 5,\nan edge from node 11 to node 13 with capacity 10,\nan edge from node 11 to node 6 with capacity 20,\nan edge from node 11 to node 2 with capacity 6,\nan edge from node 12 to node 3 with capacity 11,\nan edge from node 12 to node 10 with capacity 13,\nan edge from node 12 to node 6 with capacity 4,\nan edge from node 12 to node 4 with capacity 2,\nan edge from node 12 to node 7 with capacity 13,\nan edge from node 13 to node 10 with capacity 12,\nan edge from node 13 to node 4 with capacity 5,\nWhat is the maximum flow from node 6 to node 11:"
            },
            {
                "from": "gpt",
                "value": "18."
            }
        ]
    },
    {
        "id": "flow-hard-graph30",
        "image": "data/flow/graph_visual/hard/graph30.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 8 with capacity 10,\nan edge from node 0 to node 4 with capacity 12,\nan edge from node 1 to node 7 with capacity 18,\nan edge from node 1 to node 10 with capacity 15,\nan edge from node 1 to node 9 with capacity 18,\nan edge from node 1 to node 3 with capacity 12,\nan edge from node 2 to node 7 with capacity 15,\nan edge from node 2 to node 3 with capacity 18,\nan edge from node 2 to node 5 with capacity 4,\nan edge from node 2 to node 1 with capacity 13,\nan edge from node 3 to node 1 with capacity 15,\nan edge from node 4 to node 8 with capacity 16,\nan edge from node 4 to node 10 with capacity 7,\nan edge from node 4 to node 9 with capacity 15,\nan edge from node 5 to node 6 with capacity 18,\nan edge from node 5 to node 0 with capacity 4,\nan edge from node 5 to node 4 with capacity 19,\nan edge from node 5 to node 1 with capacity 10,\nan edge from node 6 to node 0 with capacity 16,\nan edge from node 7 to node 8 with capacity 15,\nan edge from node 7 to node 2 with capacity 15,\nan edge from node 7 to node 0 with capacity 3,\nan edge from node 7 to node 4 with capacity 10,\nan edge from node 8 to node 7 with capacity 20,\nan edge from node 8 to node 2 with capacity 17,\nan edge from node 8 to node 9 with capacity 9,\nan edge from node 8 to node 4 with capacity 16,\nan edge from node 9 to node 6 with capacity 11,\nan edge from node 9 to node 8 with capacity 4,\nan edge from node 9 to node 2 with capacity 8,\nan edge from node 10 to node 6 with capacity 18,\nan edge from node 10 to node 2 with capacity 2,\nan edge from node 10 to node 1 with capacity 4,\nWhat is the maximum flow from node 0 to node 3:"
            },
            {
                "from": "gpt",
                "value": "22."
            }
        ]
    },
    {
        "id": "flow-hard-graph1039",
        "image": "data/flow/graph_visual/hard/graph1039.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 14 with capacity 8,\nan edge from node 0 to node 15 with capacity 5,\nan edge from node 0 to node 16 with capacity 8,\nan edge from node 1 to node 15 with capacity 12,\nan edge from node 1 to node 3 with capacity 2,\nan edge from node 1 to node 17 with capacity 6,\nan edge from node 1 to node 4 with capacity 2,\nan edge from node 1 to node 9 with capacity 14,\nan edge from node 1 to node 7 with capacity 4,\nan edge from node 1 to node 13 with capacity 6,\nan edge from node 1 to node 18 with capacity 8,\nan edge from node 2 to node 14 with capacity 13,\nan edge from node 2 to node 7 with capacity 18,\nan edge from node 2 to node 12 with capacity 9,\nan edge from node 2 to node 0 with capacity 9,\nan edge from node 2 to node 16 with capacity 9,\nan edge from node 3 to node 10 with capacity 1,\nan edge from node 3 to node 5 with capacity 13,\nan edge from node 3 to node 4 with capacity 1,\nan edge from node 3 to node 8 with capacity 8,\nan edge from node 3 to node 0 with capacity 17,\nan edge from node 4 to node 10 with capacity 6,\nan edge from node 4 to node 5 with capacity 18,\nan edge from node 4 to node 9 with capacity 13,\nan edge from node 4 to node 12 with capacity 5,\nan edge from node 4 to node 18 with capacity 14,\nan edge from node 5 to node 4 with capacity 12,\nan edge from node 5 to node 6 with capacity 10,\nan edge from node 6 to node 3 with capacity 7,\nan edge from node 6 to node 17 with capacity 2,\nan edge from node 6 to node 1 with capacity 6,\nan edge from node 6 to node 13 with capacity 6,\nan edge from node 6 to node 18 with capacity 5,\nan edge from node 6 to node 2 with capacity 6,\nan edge from node 7 to node 5 with capacity 15,\nan edge from node 7 to node 4 with capacity 9,\nan edge from node 7 to node 9 with capacity 6,\nan edge from node 7 to node 1 with capacity 7,\nan edge from node 8 to node 5 with capacity 19,\nan edge from node 8 to node 17 with capacity 11,\nan edge from node 8 to node 4 with capacity 18,\nan edge from node 8 to node 0 with capacity 18,\nan edge from node 8 to node 18 with capacity 12,\nan edge from node 8 to node 2 with capacity 13,\nan edge from node 9 to node 10 with capacity 7,\nan edge from node 9 to node 5 with capacity 7,\nan edge from node 9 to node 1 with capacity 16,\nan edge from node 9 to node 0 with capacity 18,\nan edge from node 10 to node 15 with capacity 5,\nan edge from node 10 to node 11 with capacity 18,\nan edge from node 10 to node 5 with capacity 7,\nan edge from node 10 to node 8 with capacity 14,\nan edge from node 10 to node 7 with capacity 18,\nan edge from node 10 to node 1 with capacity 14,\nan edge from node 11 to node 5 with capacity 9,\nan edge from node 11 to node 13 with capacity 12,\nan edge from node 11 to node 16 with capacity 3,\nan edge from node 12 to node 17 with capacity 9,\nan edge from node 13 to node 17 with capacity 19,\nan edge from node 13 to node 12 with capacity 6,\nan edge from node 13 to node 1 with capacity 13,\nan edge from node 13 to node 18 with capacity 3,\nan edge from node 13 to node 2 with capacity 15,\nan edge from node 14 to node 10 with capacity 9,\nan edge from node 14 to node 9 with capacity 13,\nan edge from node 14 to node 7 with capacity 20,\nan edge from node 14 to node 13 with capacity 2,\nan edge from node 14 to node 2 with capacity 2,\nan edge from node 16 to node 11 with capacity 3,\nan edge from node 16 to node 4 with capacity 14,\nan edge from node 16 to node 8 with capacity 6,\nan edge from node 16 to node 9 with capacity 4,\nan edge from node 16 to node 1 with capacity 12,\nan edge from node 16 to node 0 with capacity 9,\nan edge from node 17 to node 11 with capacity 3,\nan edge from node 17 to node 5 with capacity 10,\nan edge from node 17 to node 9 with capacity 3,\nan edge from node 17 to node 13 with capacity 7,\nan edge from node 18 to node 10 with capacity 12,\nan edge from node 18 to node 12 with capacity 6,\nan edge from node 18 to node 0 with capacity 7,\nWhat is the maximum flow from node 12 to node 8:"
            },
            {
                "from": "gpt",
                "value": "9."
            }
        ]
    },
    {
        "id": "flow-hard-graph439",
        "image": "data/flow/graph_visual/hard/graph439.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 11 with capacity 5,\nan edge from node 0 to node 5 with capacity 12,\nan edge from node 0 to node 10 with capacity 15,\nan edge from node 0 to node 13 with capacity 14,\nan edge from node 0 to node 9 with capacity 15,\nan edge from node 1 to node 5 with capacity 19,\nan edge from node 1 to node 2 with capacity 15,\nan edge from node 2 to node 12 with capacity 17,\nan edge from node 3 to node 11 with capacity 6,\nan edge from node 3 to node 4 with capacity 12,\nan edge from node 4 to node 6 with capacity 20,\nan edge from node 4 to node 13 with capacity 18,\nan edge from node 4 to node 3 with capacity 9,\nan edge from node 5 to node 11 with capacity 11,\nan edge from node 5 to node 10 with capacity 18,\nan edge from node 6 to node 7 with capacity 6,\nan edge from node 6 to node 10 with capacity 14,\nan edge from node 6 to node 2 with capacity 14,\nan edge from node 6 to node 4 with capacity 5,\nan edge from node 6 to node 3 with capacity 11,\nan edge from node 6 to node 9 with capacity 17,\nan edge from node 7 to node 11 with capacity 17,\nan edge from node 7 to node 1 with capacity 2,\nan edge from node 7 to node 4 with capacity 13,\nan edge from node 8 to node 7 with capacity 1,\nan edge from node 8 to node 12 with capacity 17,\nan edge from node 8 to node 9 with capacity 1,\nan edge from node 9 to node 6 with capacity 6,\nan edge from node 9 to node 4 with capacity 5,\nan edge from node 10 to node 13 with capacity 3,\nan edge from node 10 to node 2 with capacity 7,\nan edge from node 11 to node 0 with capacity 12,\nan edge from node 11 to node 10 with capacity 14,\nan edge from node 12 to node 6 with capacity 20,\nan edge from node 12 to node 11 with capacity 8,\nan edge from node 12 to node 7 with capacity 14,\nan edge from node 12 to node 5 with capacity 13,\nan edge from node 12 to node 10 with capacity 18,\nan edge from node 12 to node 8 with capacity 9,\nan edge from node 12 to node 1 with capacity 16,\nan edge from node 12 to node 2 with capacity 5,\nan edge from node 13 to node 5 with capacity 17,\nan edge from node 13 to node 1 with capacity 16,\nan edge from node 13 to node 4 with capacity 8,\nan edge from node 13 to node 3 with capacity 20,\nWhat is the maximum flow from node 6 to node 1:"
            },
            {
                "from": "gpt",
                "value": "34."
            }
        ]
    },
    {
        "id": "flow-hard-graph528",
        "image": "data/flow/graph_visual/hard/graph528.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 10 with capacity 15,\nan edge from node 0 to node 11 with capacity 6,\nan edge from node 0 to node 6 with capacity 2,\nan edge from node 0 to node 14 with capacity 2,\nan edge from node 0 to node 13 with capacity 16,\nan edge from node 0 to node 4 with capacity 13,\nan edge from node 0 to node 8 with capacity 9,\nan edge from node 1 to node 10 with capacity 7,\nan edge from node 1 to node 3 with capacity 4,\nan edge from node 1 to node 0 with capacity 7,\nan edge from node 2 to node 11 with capacity 2,\nan edge from node 2 to node 7 with capacity 10,\nan edge from node 2 to node 0 with capacity 20,\nan edge from node 2 to node 13 with capacity 19,\nan edge from node 2 to node 1 with capacity 8,\nan edge from node 3 to node 10 with capacity 4,\nan edge from node 3 to node 11 with capacity 8,\nan edge from node 3 to node 14 with capacity 5,\nan edge from node 3 to node 13 with capacity 7,\nan edge from node 4 to node 7 with capacity 3,\nan edge from node 4 to node 13 with capacity 3,\nan edge from node 4 to node 2 with capacity 18,\nan edge from node 4 to node 8 with capacity 10,\nan edge from node 5 to node 0 with capacity 11,\nan edge from node 5 to node 12 with capacity 4,\nan edge from node 6 to node 14 with capacity 20,\nan edge from node 6 to node 3 with capacity 7,\nan edge from node 6 to node 13 with capacity 7,\nan edge from node 6 to node 1 with capacity 2,\nan edge from node 6 to node 4 with capacity 3,\nan edge from node 6 to node 8 with capacity 2,\nan edge from node 7 to node 6 with capacity 17,\nan edge from node 7 to node 14 with capacity 1,\nan edge from node 7 to node 12 with capacity 10,\nan edge from node 7 to node 2 with capacity 9,\nan edge from node 7 to node 8 with capacity 11,\nan edge from node 8 to node 10 with capacity 19,\nan edge from node 8 to node 13 with capacity 7,\nan edge from node 8 to node 12 with capacity 8,\nan edge from node 8 to node 9 with capacity 12,\nan edge from node 9 to node 11 with capacity 8,\nan edge from node 9 to node 6 with capacity 12,\nan edge from node 9 to node 12 with capacity 12,\nan edge from node 9 to node 2 with capacity 1,\nan edge from node 10 to node 11 with capacity 14,\nan edge from node 10 to node 6 with capacity 17,\nan edge from node 10 to node 13 with capacity 7,\nan edge from node 10 to node 2 with capacity 4,\nan edge from node 10 to node 9 with capacity 8,\nan edge from node 10 to node 8 with capacity 16,\nan edge from node 11 to node 7 with capacity 10,\nan edge from node 11 to node 0 with capacity 6,\nan edge from node 11 to node 9 with capacity 8,\nan edge from node 12 to node 5 with capacity 6,\nan edge from node 12 to node 3 with capacity 8,\nan edge from node 12 to node 1 with capacity 8,\nan edge from node 12 to node 8 with capacity 8,\nan edge from node 13 to node 11 with capacity 3,\nan edge from node 13 to node 3 with capacity 13,\nan edge from node 13 to node 9 with capacity 8,\nan edge from node 13 to node 4 with capacity 6,\nan edge from node 14 to node 5 with capacity 17,\nan edge from node 14 to node 3 with capacity 20,\nan edge from node 14 to node 0 with capacity 5,\nan edge from node 14 to node 9 with capacity 18,\nWhat is the maximum flow from node 13 to node 9:"
            },
            {
                "from": "gpt",
                "value": "30."
            }
        ]
    },
    {
        "id": "flow-hard-graph1025",
        "image": "data/flow/graph_visual/hard/graph1025.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 7 with capacity 13,\nan edge from node 0 to node 1 with capacity 8,\nan edge from node 0 to node 13 with capacity 19,\nan edge from node 1 to node 7 with capacity 11,\nan edge from node 1 to node 8 with capacity 4,\nan edge from node 1 to node 10 with capacity 4,\nan edge from node 1 to node 4 with capacity 6,\nan edge from node 1 to node 14 with capacity 13,\nan edge from node 1 to node 15 with capacity 18,\nan edge from node 2 to node 0 with capacity 17,\nan edge from node 2 to node 8 with capacity 8,\nan edge from node 2 to node 6 with capacity 11,\nan edge from node 2 to node 15 with capacity 20,\nan edge from node 3 to node 12 with capacity 9,\nan edge from node 3 to node 1 with capacity 15,\nan edge from node 3 to node 15 with capacity 12,\nan edge from node 3 to node 13 with capacity 20,\nan edge from node 4 to node 2 with capacity 18,\nan edge from node 4 to node 16 with capacity 2,\nan edge from node 4 to node 8 with capacity 7,\nan edge from node 4 to node 10 with capacity 14,\nan edge from node 4 to node 3 with capacity 3,\nan edge from node 5 to node 2 with capacity 14,\nan edge from node 5 to node 16 with capacity 18,\nan edge from node 5 to node 1 with capacity 14,\nan edge from node 6 to node 17 with capacity 16,\nan edge from node 6 to node 8 with capacity 12,\nan edge from node 6 to node 11 with capacity 6,\nan edge from node 7 to node 17 with capacity 6,\nan edge from node 7 to node 9 with capacity 18,\nan edge from node 7 to node 4 with capacity 8,\nan edge from node 8 to node 0 with capacity 5,\nan edge from node 8 to node 18 with capacity 5,\nan edge from node 8 to node 10 with capacity 13,\nan edge from node 8 to node 11 with capacity 20,\nan edge from node 8 to node 4 with capacity 8,\nan edge from node 9 to node 16 with capacity 5,\nan edge from node 9 to node 10 with capacity 1,\nan edge from node 9 to node 12 with capacity 16,\nan edge from node 9 to node 15 with capacity 1,\nan edge from node 9 to node 13 with capacity 12,\nan edge from node 10 to node 7 with capacity 14,\nan edge from node 10 to node 9 with capacity 16,\nan edge from node 10 to node 15 with capacity 1,\nan edge from node 11 to node 16 with capacity 5,\nan edge from node 11 to node 7 with capacity 2,\nan edge from node 11 to node 8 with capacity 4,\nan edge from node 11 to node 3 with capacity 10,\nan edge from node 11 to node 13 with capacity 1,\nan edge from node 12 to node 16 with capacity 4,\nan edge from node 12 to node 8 with capacity 2,\nan edge from node 12 to node 15 with capacity 13,\nan edge from node 13 to node 0 with capacity 16,\nan edge from node 13 to node 9 with capacity 11,\nan edge from node 13 to node 14 with capacity 3,\nan edge from node 14 to node 0 with capacity 19,\nan edge from node 14 to node 10 with capacity 12,\nan edge from node 14 to node 5 with capacity 18,\nan edge from node 14 to node 3 with capacity 10,\nan edge from node 15 to node 2 with capacity 9,\nan edge from node 15 to node 16 with capacity 8,\nan edge from node 15 to node 12 with capacity 4,\nan edge from node 15 to node 4 with capacity 1,\nan edge from node 15 to node 14 with capacity 7,\nan edge from node 15 to node 13 with capacity 19,\nan edge from node 16 to node 2 with capacity 4,\nan edge from node 16 to node 17 with capacity 6,\nan edge from node 16 to node 18 with capacity 14,\nan edge from node 16 to node 11 with capacity 4,\nan edge from node 16 to node 4 with capacity 9,\nan edge from node 17 to node 8 with capacity 13,\nan edge from node 17 to node 11 with capacity 8,\nan edge from node 17 to node 12 with capacity 16,\nan edge from node 17 to node 4 with capacity 14,\nan edge from node 17 to node 14 with capacity 1,\nan edge from node 17 to node 15 with capacity 16,\nan edge from node 17 to node 13 with capacity 7,\nan edge from node 18 to node 16 with capacity 18,\nan edge from node 18 to node 0 with capacity 2,\nan edge from node 18 to node 10 with capacity 7,\nan edge from node 18 to node 1 with capacity 12,\nan edge from node 18 to node 15 with capacity 20,\nWhat is the maximum flow from node 7 to node 10:"
            },
            {
                "from": "gpt",
                "value": "32."
            }
        ]
    },
    {
        "id": "flow-hard-graph1013",
        "image": "data/flow/graph_visual/hard/graph1013.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 1 with capacity 18,\nan edge from node 0 to node 6 with capacity 13,\nan edge from node 0 to node 14 with capacity 15,\nan edge from node 0 to node 4 with capacity 14,\nan edge from node 1 to node 17 with capacity 14,\nan edge from node 1 to node 12 with capacity 1,\nan edge from node 1 to node 8 with capacity 8,\nan edge from node 1 to node 3 with capacity 3,\nan edge from node 1 to node 6 with capacity 1,\nan edge from node 1 to node 14 with capacity 3,\nan edge from node 2 to node 13 with capacity 20,\nan edge from node 2 to node 9 with capacity 12,\nan edge from node 2 to node 1 with capacity 9,\nan edge from node 2 to node 5 with capacity 10,\nan edge from node 2 to node 0 with capacity 10,\nan edge from node 3 to node 17 with capacity 7,\nan edge from node 3 to node 5 with capacity 17,\nan edge from node 3 to node 18 with capacity 13,\nan edge from node 3 to node 15 with capacity 14,\nan edge from node 4 to node 9 with capacity 15,\nan edge from node 4 to node 18 with capacity 2,\nan edge from node 4 to node 7 with capacity 9,\nan edge from node 4 to node 11 with capacity 14,\nan edge from node 5 to node 8 with capacity 18,\nan edge from node 5 to node 1 with capacity 15,\nan edge from node 5 to node 15 with capacity 19,\nan edge from node 5 to node 10 with capacity 17,\nan edge from node 5 to node 11 with capacity 15,\nan edge from node 5 to node 14 with capacity 1,\nan edge from node 6 to node 17 with capacity 7,\nan edge from node 6 to node 15 with capacity 3,\nan edge from node 6 to node 11 with capacity 15,\nan edge from node 7 to node 12 with capacity 14,\nan edge from node 7 to node 1 with capacity 5,\nan edge from node 7 to node 5 with capacity 3,\nan edge from node 7 to node 10 with capacity 10,\nan edge from node 7 to node 14 with capacity 11,\nan edge from node 8 to node 13 with capacity 8,\nan edge from node 8 to node 18 with capacity 15,\nan edge from node 9 to node 13 with capacity 13,\nan edge from node 9 to node 1 with capacity 11,\nan edge from node 10 to node 12 with capacity 19,\nan edge from node 10 to node 6 with capacity 9,\nan edge from node 10 to node 7 with capacity 16,\nan edge from node 10 to node 4 with capacity 15,\nan edge from node 11 to node 13 with capacity 20,\nan edge from node 11 to node 12 with capacity 5,\nan edge from node 11 to node 9 with capacity 10,\nan edge from node 11 to node 16 with capacity 2,\nan edge from node 11 to node 6 with capacity 18,\nan edge from node 11 to node 18 with capacity 8,\nan edge from node 11 to node 15 with capacity 4,\nan edge from node 11 to node 7 with capacity 1,\nan edge from node 12 to node 13 with capacity 18,\nan edge from node 12 to node 9 with capacity 3,\nan edge from node 12 to node 5 with capacity 7,\nan edge from node 12 to node 6 with capacity 8,\nan edge from node 12 to node 10 with capacity 3,\nan edge from node 12 to node 4 with capacity 13,\nan edge from node 13 to node 8 with capacity 7,\nan edge from node 13 to node 2 with capacity 1,\nan edge from node 13 to node 0 with capacity 5,\nan edge from node 13 to node 10 with capacity 11,\nan edge from node 13 to node 4 with capacity 14,\nan edge from node 14 to node 17 with capacity 7,\nan edge from node 14 to node 1 with capacity 11,\nan edge from node 14 to node 18 with capacity 16,\nan edge from node 14 to node 15 with capacity 2,\nan edge from node 15 to node 12 with capacity 8,\nan edge from node 15 to node 16 with capacity 3,\nan edge from node 15 to node 3 with capacity 15,\nan edge from node 16 to node 17 with capacity 7,\nan edge from node 16 to node 9 with capacity 16,\nan edge from node 16 to node 6 with capacity 6,\nan edge from node 17 to node 12 with capacity 8,\nan edge from node 17 to node 8 with capacity 9,\nan edge from node 17 to node 6 with capacity 14,\nan edge from node 17 to node 15 with capacity 4,\nan edge from node 17 to node 14 with capacity 13,\nan edge from node 18 to node 1 with capacity 5,\nWhat is the maximum flow from node 2 to node 9:"
            },
            {
                "from": "gpt",
                "value": "45."
            }
        ]
    },
    {
        "id": "flow-hard-graph831",
        "image": "data/flow/graph_visual/hard/graph831.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 15 with capacity 18,\nan edge from node 0 to node 3 with capacity 9,\nan edge from node 0 to node 13 with capacity 18,\nan edge from node 1 to node 15 with capacity 2,\nan edge from node 1 to node 10 with capacity 19,\nan edge from node 2 to node 14 with capacity 11,\nan edge from node 2 to node 9 with capacity 16,\nan edge from node 3 to node 2 with capacity 13,\nan edge from node 3 to node 0 with capacity 10,\nan edge from node 3 to node 7 with capacity 5,\nan edge from node 3 to node 14 with capacity 12,\nan edge from node 3 to node 5 with capacity 17,\nan edge from node 4 to node 15 with capacity 14,\nan edge from node 4 to node 16 with capacity 16,\nan edge from node 4 to node 7 with capacity 17,\nan edge from node 4 to node 14 with capacity 14,\nan edge from node 4 to node 5 with capacity 19,\nan edge from node 5 to node 10 with capacity 13,\nan edge from node 5 to node 0 with capacity 8,\nan edge from node 5 to node 14 with capacity 14,\nan edge from node 5 to node 12 with capacity 18,\nan edge from node 6 to node 8 with capacity 16,\nan edge from node 6 to node 2 with capacity 15,\nan edge from node 6 to node 13 with capacity 14,\nan edge from node 6 to node 7 with capacity 14,\nan edge from node 6 to node 14 with capacity 7,\nan edge from node 6 to node 12 with capacity 3,\nan edge from node 7 to node 8 with capacity 11,\nan edge from node 7 to node 2 with capacity 14,\nan edge from node 7 to node 12 with capacity 17,\nan edge from node 7 to node 9 with capacity 2,\nan edge from node 8 to node 13 with capacity 1,\nan edge from node 8 to node 16 with capacity 3,\nan edge from node 8 to node 1 with capacity 18,\nan edge from node 9 to node 10 with capacity 17,\nan edge from node 9 to node 3 with capacity 19,\nan edge from node 9 to node 16 with capacity 5,\nan edge from node 9 to node 6 with capacity 15,\nan edge from node 11 to node 10 with capacity 6,\nan edge from node 11 to node 0 with capacity 11,\nan edge from node 11 to node 13 with capacity 16,\nan edge from node 11 to node 14 with capacity 11,\nan edge from node 11 to node 6 with capacity 7,\nan edge from node 12 to node 15 with capacity 13,\nan edge from node 12 to node 11 with capacity 14,\nan edge from node 12 to node 10 with capacity 12,\nan edge from node 12 to node 2 with capacity 13,\nan edge from node 12 to node 3 with capacity 18,\nan edge from node 12 to node 0 with capacity 8,\nan edge from node 12 to node 13 with capacity 1,\nan edge from node 12 to node 7 with capacity 16,\nan edge from node 12 to node 5 with capacity 16,\nan edge from node 12 to node 1 with capacity 9,\nan edge from node 13 to node 8 with capacity 16,\nan edge from node 13 to node 1 with capacity 9,\nan edge from node 14 to node 10 with capacity 11,\nan edge from node 14 to node 16 with capacity 16,\nan edge from node 14 to node 7 with capacity 6,\nan edge from node 14 to node 6 with capacity 1,\nan edge from node 14 to node 12 with capacity 20,\nan edge from node 14 to node 5 with capacity 9,\nan edge from node 15 to node 10 with capacity 20,\nan edge from node 15 to node 12 with capacity 5,\nan edge from node 15 to node 9 with capacity 20,\nan edge from node 16 to node 8 with capacity 10,\nan edge from node 16 to node 10 with capacity 19,\nan edge from node 16 to node 13 with capacity 3,\nan edge from node 16 to node 6 with capacity 3,\nWhat is the maximum flow from node 4 to node 11:"
            },
            {
                "from": "gpt",
                "value": "14."
            }
        ]
    },
    {
        "id": "flow-hard-graph427",
        "image": "data/flow/graph_visual/hard/graph427.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 1 with capacity 4,\nan edge from node 0 to node 8 with capacity 17,\nan edge from node 0 to node 7 with capacity 11,\nan edge from node 0 to node 5 with capacity 8,\nan edge from node 1 to node 0 with capacity 4,\nan edge from node 1 to node 7 with capacity 4,\nan edge from node 2 to node 3 with capacity 2,\nan edge from node 2 to node 4 with capacity 12,\nan edge from node 2 to node 10 with capacity 7,\nan edge from node 2 to node 6 with capacity 7,\nan edge from node 2 to node 5 with capacity 19,\nan edge from node 3 to node 9 with capacity 15,\nan edge from node 3 to node 12 with capacity 7,\nan edge from node 3 to node 10 with capacity 19,\nan edge from node 3 to node 2 with capacity 3,\nan edge from node 3 to node 5 with capacity 14,\nan edge from node 4 to node 11 with capacity 9,\nan edge from node 4 to node 9 with capacity 12,\nan edge from node 4 to node 3 with capacity 1,\nan edge from node 5 to node 11 with capacity 14,\nan edge from node 5 to node 8 with capacity 16,\nan edge from node 6 to node 3 with capacity 14,\nan edge from node 6 to node 4 with capacity 3,\nan edge from node 6 to node 10 with capacity 5,\nan edge from node 6 to node 13 with capacity 15,\nan edge from node 6 to node 5 with capacity 20,\nan edge from node 7 to node 4 with capacity 14,\nan edge from node 8 to node 11 with capacity 17,\nan edge from node 8 to node 9 with capacity 1,\nan edge from node 8 to node 3 with capacity 5,\nan edge from node 8 to node 4 with capacity 4,\nan edge from node 8 to node 6 with capacity 1,\nan edge from node 8 to node 5 with capacity 4,\nan edge from node 9 to node 11 with capacity 18,\nan edge from node 9 to node 3 with capacity 10,\nan edge from node 9 to node 8 with capacity 18,\nan edge from node 10 to node 11 with capacity 6,\nan edge from node 10 to node 13 with capacity 12,\nan edge from node 10 to node 5 with capacity 15,\nan edge from node 11 to node 3 with capacity 9,\nan edge from node 11 to node 1 with capacity 16,\nan edge from node 11 to node 8 with capacity 4,\nan edge from node 11 to node 10 with capacity 20,\nan edge from node 11 to node 6 with capacity 6,\nan edge from node 11 to node 5 with capacity 9,\nan edge from node 12 to node 1 with capacity 1,\nan edge from node 12 to node 8 with capacity 17,\nan edge from node 12 to node 13 with capacity 7,\nan edge from node 12 to node 0 with capacity 8,\nan edge from node 13 to node 11 with capacity 14,\nan edge from node 13 to node 0 with capacity 9,\nWhat is the maximum flow from node 0 to node 9:"
            },
            {
                "from": "gpt",
                "value": "28."
            }
        ]
    },
    {
        "id": "flow-hard-graph337",
        "image": "data/flow/graph_visual/hard/graph337.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 3 with capacity 17,\nan edge from node 0 to node 7 with capacity 3,\nan edge from node 0 to node 8 with capacity 20,\nan edge from node 1 to node 9 with capacity 13,\nan edge from node 1 to node 8 with capacity 10,\nan edge from node 2 to node 4 with capacity 12,\nan edge from node 2 to node 7 with capacity 15,\nan edge from node 2 to node 12 with capacity 12,\nan edge from node 3 to node 4 with capacity 17,\nan edge from node 3 to node 0 with capacity 5,\nan edge from node 3 to node 2 with capacity 14,\nan edge from node 3 to node 12 with capacity 15,\nan edge from node 3 to node 8 with capacity 15,\nan edge from node 4 to node 0 with capacity 13,\nan edge from node 4 to node 12 with capacity 7,\nan edge from node 5 to node 4 with capacity 3,\nan edge from node 5 to node 10 with capacity 2,\nan edge from node 6 to node 9 with capacity 19,\nan edge from node 6 to node 7 with capacity 9,\nan edge from node 6 to node 11 with capacity 10,\nan edge from node 7 to node 6 with capacity 2,\nan edge from node 7 to node 1 with capacity 20,\nan edge from node 8 to node 0 with capacity 19,\nan edge from node 8 to node 2 with capacity 2,\nan edge from node 9 to node 3 with capacity 9,\nan edge from node 9 to node 5 with capacity 11,\nan edge from node 10 to node 5 with capacity 2,\nan edge from node 10 to node 9 with capacity 5,\nan edge from node 11 to node 6 with capacity 10,\nan edge from node 11 to node 0 with capacity 13,\nan edge from node 11 to node 7 with capacity 9,\nan edge from node 11 to node 10 with capacity 6,\nan edge from node 12 to node 1 with capacity 15,\nan edge from node 12 to node 7 with capacity 16,\nan edge from node 12 to node 10 with capacity 10,\nWhat is the maximum flow from node 1 to node 8:"
            },
            {
                "from": "gpt",
                "value": "22."
            }
        ]
    },
    {
        "id": "flow-hard-graph77",
        "image": "data/flow/graph_visual/hard/graph77.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 10 with capacity 9,\nan edge from node 0 to node 2 with capacity 15,\nan edge from node 1 to node 10 with capacity 13,\nan edge from node 1 to node 9 with capacity 13,\nan edge from node 2 to node 3 with capacity 6,\nan edge from node 2 to node 10 with capacity 11,\nan edge from node 2 to node 8 with capacity 16,\nan edge from node 2 to node 5 with capacity 15,\nan edge from node 4 to node 9 with capacity 9,\nan edge from node 5 to node 7 with capacity 2,\nan edge from node 5 to node 3 with capacity 6,\nan edge from node 5 to node 1 with capacity 14,\nan edge from node 5 to node 9 with capacity 18,\nan edge from node 5 to node 2 with capacity 1,\nan edge from node 6 to node 7 with capacity 13,\nan edge from node 6 to node 1 with capacity 18,\nan edge from node 6 to node 0 with capacity 1,\nan edge from node 6 to node 4 with capacity 3,\nan edge from node 7 to node 5 with capacity 1,\nan edge from node 8 to node 10 with capacity 13,\nan edge from node 8 to node 1 with capacity 10,\nan edge from node 8 to node 0 with capacity 12,\nan edge from node 8 to node 5 with capacity 18,\nan edge from node 8 to node 4 with capacity 13,\nan edge from node 9 to node 0 with capacity 18,\nan edge from node 9 to node 6 with capacity 20,\nan edge from node 10 to node 7 with capacity 10,\nan edge from node 10 to node 8 with capacity 10,\nan edge from node 10 to node 6 with capacity 3,\nWhat is the maximum flow from node 2 to node 10:"
            },
            {
                "from": "gpt",
                "value": "42."
            }
        ]
    },
    {
        "id": "flow-hard-graph993",
        "image": "data/flow/graph_visual/hard/graph993.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 3 with capacity 4,\nan edge from node 0 to node 4 with capacity 2,\nan edge from node 0 to node 5 with capacity 18,\nan edge from node 0 to node 8 with capacity 1,\nan edge from node 0 to node 6 with capacity 5,\nan edge from node 0 to node 18 with capacity 5,\nan edge from node 1 to node 3 with capacity 11,\nan edge from node 1 to node 11 with capacity 6,\nan edge from node 1 to node 16 with capacity 2,\nan edge from node 1 to node 15 with capacity 18,\nan edge from node 2 to node 12 with capacity 6,\nan edge from node 2 to node 5 with capacity 6,\nan edge from node 2 to node 15 with capacity 16,\nan edge from node 2 to node 17 with capacity 10,\nan edge from node 3 to node 13 with capacity 8,\nan edge from node 3 to node 1 with capacity 16,\nan edge from node 3 to node 17 with capacity 4,\nan edge from node 3 to node 7 with capacity 10,\nan edge from node 4 to node 3 with capacity 9,\nan edge from node 4 to node 12 with capacity 10,\nan edge from node 4 to node 11 with capacity 5,\nan edge from node 4 to node 15 with capacity 8,\nan edge from node 4 to node 6 with capacity 8,\nan edge from node 5 to node 3 with capacity 3,\nan edge from node 5 to node 12 with capacity 12,\nan edge from node 5 to node 13 with capacity 1,\nan edge from node 5 to node 8 with capacity 12,\nan edge from node 5 to node 18 with capacity 3,\nan edge from node 5 to node 17 with capacity 20,\nan edge from node 6 to node 10 with capacity 3,\nan edge from node 6 to node 16 with capacity 13,\nan edge from node 6 to node 15 with capacity 11,\nan edge from node 6 to node 9 with capacity 7,\nan edge from node 7 to node 10 with capacity 5,\nan edge from node 7 to node 14 with capacity 18,\nan edge from node 7 to node 15 with capacity 5,\nan edge from node 7 to node 18 with capacity 4,\nan edge from node 7 to node 1 with capacity 3,\nan edge from node 7 to node 17 with capacity 4,\nan edge from node 8 to node 16 with capacity 4,\nan edge from node 8 to node 1 with capacity 5,\nan edge from node 8 to node 7 with capacity 20,\nan edge from node 8 to node 2 with capacity 13,\nan edge from node 9 to node 3 with capacity 18,\nan edge from node 9 to node 10 with capacity 2,\nan edge from node 9 to node 4 with capacity 4,\nan edge from node 9 to node 11 with capacity 2,\nan edge from node 9 to node 16 with capacity 12,\nan edge from node 9 to node 7 with capacity 1,\nan edge from node 9 to node 2 with capacity 19,\nan edge from node 10 to node 0 with capacity 20,\nan edge from node 10 to node 8 with capacity 15,\nan edge from node 10 to node 15 with capacity 13,\nan edge from node 10 to node 6 with capacity 7,\nan edge from node 10 to node 9 with capacity 4,\nan edge from node 10 to node 7 with capacity 20,\nan edge from node 11 to node 10 with capacity 1,\nan edge from node 11 to node 6 with capacity 3,\nan edge from node 11 to node 1 with capacity 13,\nan edge from node 12 to node 10 with capacity 17,\nan edge from node 12 to node 16 with capacity 4,\nan edge from node 12 to node 0 with capacity 18,\nan edge from node 12 to node 13 with capacity 8,\nan edge from node 12 to node 8 with capacity 19,\nan edge from node 12 to node 15 with capacity 2,\nan edge from node 12 to node 1 with capacity 14,\nan edge from node 13 to node 10 with capacity 4,\nan edge from node 13 to node 16 with capacity 12,\nan edge from node 13 to node 6 with capacity 9,\nan edge from node 13 to node 7 with capacity 10,\nan edge from node 14 to node 12 with capacity 7,\nan edge from node 14 to node 16 with capacity 20,\nan edge from node 14 to node 9 with capacity 18,\nan edge from node 14 to node 18 with capacity 16,\nan edge from node 14 to node 7 with capacity 1,\nan edge from node 15 to node 0 with capacity 19,\nan edge from node 15 to node 13 with capacity 3,\nan edge from node 15 to node 17 with capacity 10,\nan edge from node 15 to node 7 with capacity 1,\nan edge from node 16 to node 5 with capacity 16,\nan edge from node 16 to node 11 with capacity 18,\nan edge from node 16 to node 13 with capacity 13,\nan edge from node 16 to node 18 with capacity 8,\nan edge from node 16 to node 7 with capacity 6,\nan edge from node 17 to node 11 with capacity 15,\nan edge from node 17 to node 0 with capacity 1,\nan edge from node 17 to node 14 with capacity 1,\nan edge from node 18 to node 3 with capacity 7,\nan edge from node 18 to node 12 with capacity 2,\nan edge from node 18 to node 11 with capacity 20,\nan edge from node 18 to node 0 with capacity 19,\nan edge from node 18 to node 13 with capacity 2,\nan edge from node 18 to node 14 with capacity 16,\nan edge from node 18 to node 2 with capacity 20,\nWhat is the maximum flow from node 7 to node 10:"
            },
            {
                "from": "gpt",
                "value": "32."
            }
        ]
    },
    {
        "id": "flow-hard-graph917",
        "image": "data/flow/graph_visual/hard/graph917.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 10 with capacity 19,\nan edge from node 0 to node 7 with capacity 9,\nan edge from node 0 to node 15 with capacity 14,\nan edge from node 0 to node 5 with capacity 12,\nan edge from node 1 to node 10 with capacity 14,\nan edge from node 1 to node 4 with capacity 18,\nan edge from node 1 to node 2 with capacity 18,\nan edge from node 1 to node 17 with capacity 7,\nan edge from node 1 to node 6 with capacity 19,\nan edge from node 1 to node 5 with capacity 16,\nan edge from node 1 to node 12 with capacity 13,\nan edge from node 2 to node 3 with capacity 8,\nan edge from node 2 to node 13 with capacity 18,\nan edge from node 3 to node 9 with capacity 16,\nan edge from node 3 to node 1 with capacity 1,\nan edge from node 3 to node 4 with capacity 2,\nan edge from node 3 to node 14 with capacity 9,\nan edge from node 3 to node 6 with capacity 15,\nan edge from node 3 to node 13 with capacity 9,\nan edge from node 4 to node 10 with capacity 7,\nan edge from node 4 to node 9 with capacity 2,\nan edge from node 4 to node 11 with capacity 2,\nan edge from node 4 to node 5 with capacity 13,\nan edge from node 4 to node 8 with capacity 4,\nan edge from node 5 to node 0 with capacity 19,\nan edge from node 5 to node 15 with capacity 10,\nan edge from node 5 to node 13 with capacity 2,\nan edge from node 6 to node 1 with capacity 14,\nan edge from node 6 to node 14 with capacity 20,\nan edge from node 6 to node 7 with capacity 4,\nan edge from node 6 to node 15 with capacity 13,\nan edge from node 6 to node 12 with capacity 5,\nan edge from node 6 to node 8 with capacity 10,\nan edge from node 7 to node 10 with capacity 10,\nan edge from node 7 to node 9 with capacity 9,\nan edge from node 7 to node 11 with capacity 12,\nan edge from node 7 to node 17 with capacity 6,\nan edge from node 7 to node 8 with capacity 9,\nan edge from node 7 to node 13 with capacity 11,\nan edge from node 8 to node 14 with capacity 3,\nan edge from node 9 to node 4 with capacity 18,\nan edge from node 9 to node 11 with capacity 2,\nan edge from node 9 to node 16 with capacity 14,\nan edge from node 9 to node 15 with capacity 20,\nan edge from node 10 to node 4 with capacity 2,\nan edge from node 10 to node 11 with capacity 18,\nan edge from node 10 to node 8 with capacity 5,\nan edge from node 11 to node 10 with capacity 6,\nan edge from node 11 to node 9 with capacity 17,\nan edge from node 11 to node 1 with capacity 20,\nan edge from node 11 to node 2 with capacity 7,\nan edge from node 11 to node 15 with capacity 16,\nan edge from node 12 to node 14 with capacity 13,\nan edge from node 12 to node 17 with capacity 8,\nan edge from node 12 to node 16 with capacity 20,\nan edge from node 13 to node 14 with capacity 10,\nan edge from node 13 to node 16 with capacity 5,\nan edge from node 13 to node 7 with capacity 10,\nan edge from node 14 to node 10 with capacity 15,\nan edge from node 14 to node 4 with capacity 11,\nan edge from node 14 to node 11 with capacity 12,\nan edge from node 14 to node 12 with capacity 10,\nan edge from node 15 to node 10 with capacity 3,\nan edge from node 15 to node 7 with capacity 3,\nan edge from node 15 to node 8 with capacity 11,\nan edge from node 16 to node 3 with capacity 3,\nan edge from node 16 to node 15 with capacity 6,\nan edge from node 16 to node 5 with capacity 13,\nan edge from node 17 to node 2 with capacity 10,\nan edge from node 17 to node 15 with capacity 7,\nan edge from node 17 to node 5 with capacity 6,\nWhat is the maximum flow from node 12 to node 9:"
            },
            {
                "from": "gpt",
                "value": "39."
            }
        ]
    },
    {
        "id": "flow-hard-graph1148",
        "image": "data/flow/graph_visual/hard/graph1148.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 13 with capacity 9,\nan edge from node 0 to node 9 with capacity 10,\nan edge from node 0 to node 5 with capacity 4,\nan edge from node 0 to node 7 with capacity 18,\nan edge from node 0 to node 2 with capacity 16,\nan edge from node 1 to node 11 with capacity 10,\nan edge from node 1 to node 9 with capacity 17,\nan edge from node 1 to node 12 with capacity 14,\nan edge from node 2 to node 1 with capacity 6,\nan edge from node 2 to node 6 with capacity 18,\nan edge from node 2 to node 9 with capacity 6,\nan edge from node 3 to node 13 with capacity 16,\nan edge from node 3 to node 14 with capacity 18,\nan edge from node 3 to node 7 with capacity 2,\nan edge from node 3 to node 10 with capacity 3,\nan edge from node 4 to node 17 with capacity 8,\nan edge from node 4 to node 18 with capacity 15,\nan edge from node 4 to node 12 with capacity 9,\nan edge from node 4 to node 3 with capacity 11,\nan edge from node 4 to node 10 with capacity 1,\nan edge from node 5 to node 6 with capacity 1,\nan edge from node 5 to node 14 with capacity 3,\nan edge from node 5 to node 4 with capacity 2,\nan edge from node 5 to node 8 with capacity 4,\nan edge from node 5 to node 18 with capacity 12,\nan edge from node 5 to node 2 with capacity 3,\nan edge from node 6 to node 13 with capacity 4,\nan edge from node 6 to node 1 with capacity 15,\nan edge from node 6 to node 18 with capacity 1,\nan edge from node 6 to node 7 with capacity 7,\nan edge from node 6 to node 10 with capacity 17,\nan edge from node 7 to node 11 with capacity 11,\nan edge from node 7 to node 4 with capacity 19,\nan edge from node 7 to node 8 with capacity 2,\nan edge from node 7 to node 15 with capacity 16,\nan edge from node 7 to node 0 with capacity 5,\nan edge from node 8 to node 6 with capacity 13,\nan edge from node 8 to node 17 with capacity 5,\nan edge from node 8 to node 19 with capacity 3,\nan edge from node 8 to node 14 with capacity 13,\nan edge from node 8 to node 18 with capacity 6,\nan edge from node 8 to node 15 with capacity 10,\nan edge from node 8 to node 0 with capacity 8,\nan edge from node 9 to node 1 with capacity 7,\nan edge from node 9 to node 14 with capacity 5,\nan edge from node 9 to node 0 with capacity 12,\nan edge from node 10 to node 1 with capacity 1,\nan edge from node 10 to node 17 with capacity 8,\nan edge from node 10 to node 19 with capacity 1,\nan edge from node 10 to node 15 with capacity 2,\nan edge from node 10 to node 0 with capacity 10,\nan edge from node 11 to node 1 with capacity 19,\nan edge from node 11 to node 17 with capacity 14,\nan edge from node 11 to node 9 with capacity 13,\nan edge from node 11 to node 14 with capacity 17,\nan edge from node 11 to node 15 with capacity 3,\nan edge from node 11 to node 5 with capacity 18,\nan edge from node 11 to node 12 with capacity 7,\nan edge from node 11 to node 0 with capacity 18,\nan edge from node 11 to node 3 with capacity 18,\nan edge from node 11 to node 2 with capacity 1,\nan edge from node 11 to node 10 with capacity 17,\nan edge from node 12 to node 19 with capacity 20,\nan edge from node 12 to node 16 with capacity 11,\nan edge from node 12 to node 3 with capacity 20,\nan edge from node 13 to node 9 with capacity 9,\nan edge from node 13 to node 15 with capacity 8,\nan edge from node 13 to node 12 with capacity 10,\nan edge from node 13 to node 0 with capacity 13,\nan edge from node 14 to node 19 with capacity 10,\nan edge from node 14 to node 4 with capacity 20,\nan edge from node 14 to node 15 with capacity 10,\nan edge from node 14 to node 12 with capacity 7,\nan edge from node 15 to node 1 with capacity 3,\nan edge from node 15 to node 6 with capacity 16,\nan edge from node 15 to node 17 with capacity 15,\nan edge from node 15 to node 16 with capacity 19,\nan edge from node 15 to node 14 with capacity 18,\nan edge from node 15 to node 5 with capacity 4,\nan edge from node 15 to node 0 with capacity 3,\nan edge from node 16 to node 17 with capacity 12,\nan edge from node 16 to node 9 with capacity 4,\nan edge from node 16 to node 14 with capacity 17,\nan edge from node 16 to node 5 with capacity 5,\nan edge from node 16 to node 2 with capacity 9,\nan edge from node 16 to node 10 with capacity 20,\nan edge from node 17 to node 1 with capacity 5,\nan edge from node 17 to node 6 with capacity 9,\nan edge from node 17 to node 16 with capacity 18,\nan edge from node 17 to node 4 with capacity 12,\nan edge from node 17 to node 0 with capacity 16,\nan edge from node 18 to node 6 with capacity 7,\nan edge from node 18 to node 19 with capacity 19,\nan edge from node 18 to node 9 with capacity 15,\nan edge from node 18 to node 7 with capacity 5,\nan edge from node 19 to node 13 with capacity 6,\nan edge from node 19 to node 12 with capacity 9,\nWhat is the maximum flow from node 4 to node 1:"
            },
            {
                "from": "gpt",
                "value": "44."
            }
        ]
    },
    {
        "id": "flow-hard-graph191",
        "image": "data/flow/graph_visual/hard/graph191.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 6 with capacity 7,\nan edge from node 1 to node 3 with capacity 8,\nan edge from node 1 to node 7 with capacity 20,\nan edge from node 1 to node 4 with capacity 15,\nan edge from node 2 to node 3 with capacity 4,\nan edge from node 2 to node 9 with capacity 7,\nan edge from node 2 to node 8 with capacity 12,\nan edge from node 3 to node 11 with capacity 18,\nan edge from node 3 to node 0 with capacity 16,\nan edge from node 3 to node 10 with capacity 18,\nan edge from node 3 to node 6 with capacity 10,\nan edge from node 3 to node 1 with capacity 7,\nan edge from node 3 to node 4 with capacity 7,\nan edge from node 3 to node 5 with capacity 14,\nan edge from node 4 to node 7 with capacity 14,\nan edge from node 5 to node 3 with capacity 14,\nan edge from node 5 to node 0 with capacity 15,\nan edge from node 5 to node 10 with capacity 10,\nan edge from node 5 to node 7 with capacity 17,\nan edge from node 5 to node 1 with capacity 10,\nan edge from node 5 to node 4 with capacity 3,\nan edge from node 6 to node 7 with capacity 17,\nan edge from node 6 to node 1 with capacity 20,\nan edge from node 6 to node 4 with capacity 3,\nan edge from node 6 to node 2 with capacity 9,\nan edge from node 6 to node 8 with capacity 13,\nan edge from node 7 to node 11 with capacity 17,\nan edge from node 7 to node 0 with capacity 16,\nan edge from node 7 to node 8 with capacity 10,\nan edge from node 8 to node 11 with capacity 17,\nan edge from node 8 to node 6 with capacity 16,\nan edge from node 8 to node 4 with capacity 10,\nan edge from node 8 to node 2 with capacity 13,\nan edge from node 9 to node 11 with capacity 11,\nan edge from node 9 to node 3 with capacity 2,\nan edge from node 9 to node 6 with capacity 5,\nan edge from node 9 to node 4 with capacity 3,\nan edge from node 10 to node 3 with capacity 18,\nan edge from node 10 to node 7 with capacity 1,\nan edge from node 10 to node 4 with capacity 18,\nan edge from node 10 to node 8 with capacity 18,\nWhat is the maximum flow from node 9 to node 10:"
            },
            {
                "from": "gpt",
                "value": "10."
            }
        ]
    },
    {
        "id": "flow-hard-graph366",
        "image": "data/flow/graph_visual/hard/graph366.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 10 with capacity 3,\nan edge from node 0 to node 5 with capacity 4,\nan edge from node 0 to node 13 with capacity 14,\nan edge from node 0 to node 8 with capacity 11,\nan edge from node 0 to node 9 with capacity 4,\nan edge from node 1 to node 3 with capacity 5,\nan edge from node 1 to node 11 with capacity 4,\nan edge from node 1 to node 13 with capacity 10,\nan edge from node 2 to node 3 with capacity 7,\nan edge from node 2 to node 7 with capacity 1,\nan edge from node 3 to node 10 with capacity 12,\nan edge from node 3 to node 7 with capacity 15,\nan edge from node 4 to node 13 with capacity 17,\nan edge from node 5 to node 10 with capacity 5,\nan edge from node 5 to node 2 with capacity 17,\nan edge from node 6 to node 0 with capacity 18,\nan edge from node 6 to node 7 with capacity 18,\nan edge from node 6 to node 9 with capacity 6,\nan edge from node 7 to node 4 with capacity 6,\nan edge from node 7 to node 6 with capacity 10,\nan edge from node 7 to node 13 with capacity 19,\nan edge from node 7 to node 8 with capacity 9,\nan edge from node 7 to node 9 with capacity 20,\nan edge from node 8 to node 4 with capacity 3,\nan edge from node 8 to node 1 with capacity 15,\nan edge from node 8 to node 13 with capacity 4,\nan edge from node 8 to node 7 with capacity 13,\nan edge from node 9 to node 6 with capacity 18,\nan edge from node 9 to node 5 with capacity 10,\nan edge from node 9 to node 12 with capacity 6,\nan edge from node 10 to node 7 with capacity 10,\nan edge from node 10 to node 12 with capacity 6,\nan edge from node 11 to node 4 with capacity 5,\nan edge from node 11 to node 0 with capacity 9,\nan edge from node 11 to node 1 with capacity 20,\nan edge from node 11 to node 2 with capacity 4,\nan edge from node 11 to node 13 with capacity 11,\nan edge from node 11 to node 8 with capacity 7,\nan edge from node 12 to node 10 with capacity 10,\nan edge from node 12 to node 13 with capacity 18,\nan edge from node 12 to node 9 with capacity 15,\nan edge from node 13 to node 6 with capacity 5,\nan edge from node 13 to node 2 with capacity 4,\nWhat is the maximum flow from node 11 to node 5:"
            },
            {
                "from": "gpt",
                "value": "14."
            }
        ]
    },
    {
        "id": "flow-hard-graph946",
        "image": "data/flow/graph_visual/hard/graph946.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 14 with capacity 16,\nan edge from node 0 to node 4 with capacity 3,\nan edge from node 0 to node 8 with capacity 17,\nan edge from node 0 to node 10 with capacity 11,\nan edge from node 1 to node 13 with capacity 17,\nan edge from node 1 to node 9 with capacity 8,\nan edge from node 1 to node 7 with capacity 7,\nan edge from node 1 to node 17 with capacity 5,\nan edge from node 2 to node 16 with capacity 8,\nan edge from node 2 to node 0 with capacity 14,\nan edge from node 2 to node 17 with capacity 3,\nan edge from node 2 to node 11 with capacity 18,\nan edge from node 2 to node 6 with capacity 11,\nan edge from node 3 to node 5 with capacity 9,\nan edge from node 4 to node 13 with capacity 11,\nan edge from node 4 to node 0 with capacity 7,\nan edge from node 4 to node 12 with capacity 19,\nan edge from node 4 to node 11 with capacity 18,\nan edge from node 5 to node 14 with capacity 8,\nan edge from node 5 to node 1 with capacity 20,\nan edge from node 5 to node 4 with capacity 18,\nan edge from node 6 to node 13 with capacity 20,\nan edge from node 6 to node 9 with capacity 16,\nan edge from node 6 to node 0 with capacity 6,\nan edge from node 6 to node 1 with capacity 8,\nan edge from node 6 to node 2 with capacity 2,\nan edge from node 6 to node 8 with capacity 18,\nan edge from node 6 to node 12 with capacity 10,\nan edge from node 6 to node 10 with capacity 7,\nan edge from node 7 to node 13 with capacity 10,\nan edge from node 7 to node 16 with capacity 16,\nan edge from node 7 to node 9 with capacity 1,\nan edge from node 7 to node 5 with capacity 14,\nan edge from node 7 to node 4 with capacity 19,\nan edge from node 8 to node 5 with capacity 18,\nan edge from node 8 to node 11 with capacity 5,\nan edge from node 9 to node 13 with capacity 13,\nan edge from node 9 to node 16 with capacity 15,\nan edge from node 9 to node 17 with capacity 10,\nan edge from node 9 to node 6 with capacity 9,\nan edge from node 9 to node 3 with capacity 9,\nan edge from node 10 to node 9 with capacity 15,\nan edge from node 10 to node 4 with capacity 18,\nan edge from node 10 to node 12 with capacity 4,\nan edge from node 11 to node 9 with capacity 13,\nan edge from node 11 to node 15 with capacity 20,\nan edge from node 12 to node 5 with capacity 2,\nan edge from node 12 to node 7 with capacity 2,\nan edge from node 12 to node 1 with capacity 14,\nan edge from node 12 to node 4 with capacity 19,\nan edge from node 12 to node 15 with capacity 4,\nan edge from node 12 to node 10 with capacity 7,\nan edge from node 13 to node 9 with capacity 4,\nan edge from node 13 to node 7 with capacity 9,\nan edge from node 13 to node 17 with capacity 18,\nan edge from node 13 to node 4 with capacity 2,\nan edge from node 13 to node 12 with capacity 12,\nan edge from node 13 to node 10 with capacity 13,\nan edge from node 14 to node 9 with capacity 19,\nan edge from node 14 to node 17 with capacity 2,\nan edge from node 14 to node 8 with capacity 13,\nan edge from node 14 to node 11 with capacity 5,\nan edge from node 15 to node 6 with capacity 20,\nan edge from node 15 to node 3 with capacity 19,\nan edge from node 16 to node 13 with capacity 5,\nan edge from node 16 to node 9 with capacity 8,\nan edge from node 16 to node 5 with capacity 14,\nan edge from node 16 to node 0 with capacity 11,\nan edge from node 16 to node 17 with capacity 7,\nan edge from node 16 to node 10 with capacity 5,\nan edge from node 17 to node 5 with capacity 16,\nan edge from node 17 to node 1 with capacity 1,\nan edge from node 17 to node 12 with capacity 13,\nWhat is the maximum flow from node 2 to node 14:"
            },
            {
                "from": "gpt",
                "value": "24."
            }
        ]
    },
    {
        "id": "flow-hard-graph529",
        "image": "data/flow/graph_visual/hard/graph529.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 10 with capacity 19,\nan edge from node 0 to node 9 with capacity 8,\nan edge from node 0 to node 5 with capacity 5,\nan edge from node 1 to node 11 with capacity 13,\nan edge from node 2 to node 3 with capacity 11,\nan edge from node 2 to node 9 with capacity 3,\nan edge from node 2 to node 0 with capacity 17,\nan edge from node 2 to node 13 with capacity 14,\nan edge from node 2 to node 7 with capacity 18,\nan edge from node 2 to node 11 with capacity 16,\nan edge from node 3 to node 14 with capacity 5,\nan edge from node 3 to node 8 with capacity 12,\nan edge from node 3 to node 4 with capacity 13,\nan edge from node 4 to node 2 with capacity 14,\nan edge from node 4 to node 7 with capacity 17,\nan edge from node 4 to node 5 with capacity 16,\nan edge from node 5 to node 8 with capacity 13,\nan edge from node 5 to node 1 with capacity 18,\nan edge from node 5 to node 7 with capacity 8,\nan edge from node 6 to node 10 with capacity 10,\nan edge from node 7 to node 14 with capacity 9,\nan edge from node 7 to node 8 with capacity 9,\nan edge from node 7 to node 4 with capacity 5,\nan edge from node 7 to node 6 with capacity 13,\nan edge from node 8 to node 3 with capacity 18,\nan edge from node 8 to node 10 with capacity 16,\nan edge from node 8 to node 14 with capacity 16,\nan edge from node 8 to node 13 with capacity 17,\nan edge from node 8 to node 1 with capacity 6,\nan edge from node 8 to node 2 with capacity 14,\nan edge from node 8 to node 11 with capacity 15,\nan edge from node 9 to node 0 with capacity 5,\nan edge from node 9 to node 1 with capacity 5,\nan edge from node 9 to node 6 with capacity 10,\nan edge from node 9 to node 5 with capacity 20,\nan edge from node 9 to node 11 with capacity 1,\nan edge from node 10 to node 1 with capacity 20,\nan edge from node 10 to node 11 with capacity 11,\nan edge from node 11 to node 13 with capacity 16,\nan edge from node 11 to node 4 with capacity 5,\nan edge from node 11 to node 6 with capacity 12,\nan edge from node 12 to node 4 with capacity 4,\nan edge from node 12 to node 2 with capacity 16,\nan edge from node 12 to node 7 with capacity 15,\nan edge from node 13 to node 0 with capacity 13,\nan edge from node 13 to node 4 with capacity 9,\nan edge from node 14 to node 8 with capacity 11,\nan edge from node 14 to node 5 with capacity 13,\nWhat is the maximum flow from node 8 to node 1:"
            },
            {
                "from": "gpt",
                "value": "49."
            }
        ]
    },
    {
        "id": "flow-hard-graph1157",
        "image": "data/flow/graph_visual/hard/graph1157.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 7 with capacity 14,\nan edge from node 0 to node 2 with capacity 6,\nan edge from node 0 to node 12 with capacity 18,\nan edge from node 0 to node 3 with capacity 11,\nan edge from node 0 to node 6 with capacity 13,\nan edge from node 1 to node 7 with capacity 20,\nan edge from node 1 to node 2 with capacity 6,\nan edge from node 1 to node 5 with capacity 14,\nan edge from node 2 to node 12 with capacity 14,\nan edge from node 2 to node 15 with capacity 13,\nan edge from node 2 to node 18 with capacity 7,\nan edge from node 3 to node 7 with capacity 17,\nan edge from node 3 to node 14 with capacity 12,\nan edge from node 3 to node 19 with capacity 7,\nan edge from node 3 to node 12 with capacity 15,\nan edge from node 3 to node 9 with capacity 8,\nan edge from node 3 to node 5 with capacity 20,\nan edge from node 4 to node 8 with capacity 15,\nan edge from node 4 to node 14 with capacity 19,\nan edge from node 4 to node 0 with capacity 17,\nan edge from node 4 to node 16 with capacity 9,\nan edge from node 4 to node 9 with capacity 8,\nan edge from node 4 to node 11 with capacity 2,\nan edge from node 4 to node 3 with capacity 3,\nan edge from node 4 to node 15 with capacity 16,\nan edge from node 4 to node 13 with capacity 15,\nan edge from node 4 to node 1 with capacity 1,\nan edge from node 5 to node 17 with capacity 10,\nan edge from node 5 to node 9 with capacity 5,\nan edge from node 5 to node 11 with capacity 2,\nan edge from node 5 to node 3 with capacity 4,\nan edge from node 5 to node 10 with capacity 11,\nan edge from node 5 to node 13 with capacity 19,\nan edge from node 5 to node 6 with capacity 1,\nan edge from node 5 to node 1 with capacity 8,\nan edge from node 6 to node 2 with capacity 4,\nan edge from node 6 to node 15 with capacity 19,\nan edge from node 6 to node 10 with capacity 3,\nan edge from node 6 to node 18 with capacity 12,\nan edge from node 7 to node 16 with capacity 19,\nan edge from node 7 to node 3 with capacity 20,\nan edge from node 7 to node 10 with capacity 15,\nan edge from node 7 to node 6 with capacity 19,\nan edge from node 8 to node 17 with capacity 20,\nan edge from node 8 to node 4 with capacity 10,\nan edge from node 8 to node 0 with capacity 13,\nan edge from node 8 to node 11 with capacity 13,\nan edge from node 8 to node 3 with capacity 19,\nan edge from node 8 to node 10 with capacity 2,\nan edge from node 9 to node 8 with capacity 15,\nan edge from node 9 to node 0 with capacity 20,\nan edge from node 9 to node 2 with capacity 18,\nan edge from node 9 to node 12 with capacity 10,\nan edge from node 9 to node 3 with capacity 14,\nan edge from node 9 to node 10 with capacity 4,\nan edge from node 9 to node 13 with capacity 7,\nan edge from node 9 to node 18 with capacity 2,\nan edge from node 10 to node 8 with capacity 2,\nan edge from node 10 to node 14 with capacity 11,\nan edge from node 10 to node 3 with capacity 5,\nan edge from node 10 to node 15 with capacity 3,\nan edge from node 10 to node 18 with capacity 18,\nan edge from node 11 to node 7 with capacity 4,\nan edge from node 11 to node 8 with capacity 3,\nan edge from node 11 to node 17 with capacity 2,\nan edge from node 11 to node 16 with capacity 11,\nan edge from node 11 to node 9 with capacity 14,\nan edge from node 11 to node 5 with capacity 17,\nan edge from node 11 to node 10 with capacity 12,\nan edge from node 11 to node 6 with capacity 4,\nan edge from node 11 to node 18 with capacity 1,\nan edge from node 12 to node 7 with capacity 12,\nan edge from node 12 to node 19 with capacity 10,\nan edge from node 12 to node 16 with capacity 11,\nan edge from node 12 to node 9 with capacity 1,\nan edge from node 12 to node 11 with capacity 5,\nan edge from node 12 to node 5 with capacity 2,\nan edge from node 12 to node 15 with capacity 5,\nan edge from node 12 to node 18 with capacity 2,\nan edge from node 13 to node 4 with capacity 17,\nan edge from node 13 to node 19 with capacity 6,\nan edge from node 13 to node 16 with capacity 13,\nan edge from node 13 to node 3 with capacity 6,\nan edge from node 13 to node 10 with capacity 10,\nan edge from node 14 to node 0 with capacity 9,\nan edge from node 14 to node 2 with capacity 11,\nan edge from node 14 to node 12 with capacity 9,\nan edge from node 14 to node 11 with capacity 10,\nan edge from node 15 to node 7 with capacity 15,\nan edge from node 15 to node 8 with capacity 13,\nan edge from node 15 to node 17 with capacity 6,\nan edge from node 15 to node 14 with capacity 1,\nan edge from node 15 to node 4 with capacity 13,\nan edge from node 15 to node 6 with capacity 11,\nan edge from node 16 to node 14 with capacity 1,\nan edge from node 16 to node 2 with capacity 1,\nan edge from node 16 to node 3 with capacity 2,\nan edge from node 16 to node 5 with capacity 8,\nan edge from node 16 to node 15 with capacity 9,\nan edge from node 16 to node 6 with capacity 3,\nan edge from node 17 to node 8 with capacity 20,\nan edge from node 17 to node 12 with capacity 6,\nan edge from node 17 to node 15 with capacity 13,\nan edge from node 18 to node 19 with capacity 1,\nan edge from node 18 to node 16 with capacity 6,\nan edge from node 18 to node 3 with capacity 13,\nan edge from node 18 to node 1 with capacity 9,\nan edge from node 19 to node 2 with capacity 5,\nan edge from node 19 to node 12 with capacity 10,\nan edge from node 19 to node 9 with capacity 12,\nan edge from node 19 to node 1 with capacity 15,\nWhat is the maximum flow from node 11 to node 5:"
            },
            {
                "from": "gpt",
                "value": "61."
            }
        ]
    },
    {
        "id": "flow-hard-graph663",
        "image": "data/flow/graph_visual/hard/graph663.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 1 with capacity 4,\nan edge from node 0 to node 6 with capacity 12,\nan edge from node 1 to node 8 with capacity 1,\nan edge from node 1 to node 2 with capacity 3,\nan edge from node 1 to node 7 with capacity 20,\nan edge from node 2 to node 11 with capacity 17,\nan edge from node 2 to node 3 with capacity 8,\nan edge from node 2 to node 0 with capacity 10,\nan edge from node 2 to node 6 with capacity 6,\nan edge from node 3 to node 8 with capacity 20,\nan edge from node 3 to node 10 with capacity 10,\nan edge from node 3 to node 2 with capacity 13,\nan edge from node 3 to node 7 with capacity 20,\nan edge from node 3 to node 5 with capacity 12,\nan edge from node 3 to node 0 with capacity 15,\nan edge from node 4 to node 9 with capacity 15,\nan edge from node 4 to node 12 with capacity 2,\nan edge from node 4 to node 1 with capacity 7,\nan edge from node 4 to node 13 with capacity 13,\nan edge from node 4 to node 15 with capacity 4,\nan edge from node 5 to node 9 with capacity 19,\nan edge from node 5 to node 8 with capacity 7,\nan edge from node 5 to node 15 with capacity 19,\nan edge from node 5 to node 0 with capacity 3,\nan edge from node 6 to node 5 with capacity 5,\nan edge from node 6 to node 3 with capacity 15,\nan edge from node 7 to node 4 with capacity 3,\nan edge from node 7 to node 2 with capacity 14,\nan edge from node 8 to node 10 with capacity 8,\nan edge from node 8 to node 7 with capacity 4,\nan edge from node 8 to node 11 with capacity 9,\nan edge from node 8 to node 13 with capacity 2,\nan edge from node 9 to node 8 with capacity 15,\nan edge from node 9 to node 10 with capacity 15,\nan edge from node 9 to node 12 with capacity 8,\nan edge from node 9 to node 1 with capacity 16,\nan edge from node 9 to node 13 with capacity 11,\nan edge from node 9 to node 15 with capacity 1,\nan edge from node 9 to node 6 with capacity 1,\nan edge from node 10 to node 8 with capacity 9,\nan edge from node 10 to node 4 with capacity 13,\nan edge from node 10 to node 7 with capacity 11,\nan edge from node 10 to node 13 with capacity 16,\nan edge from node 10 to node 15 with capacity 6,\nan edge from node 11 to node 7 with capacity 4,\nan edge from node 11 to node 5 with capacity 1,\nan edge from node 11 to node 15 with capacity 5,\nan edge from node 11 to node 0 with capacity 2,\nan edge from node 12 to node 14 with capacity 10,\nan edge from node 12 to node 5 with capacity 5,\nan edge from node 12 to node 15 with capacity 13,\nan edge from node 13 to node 8 with capacity 12,\nan edge from node 13 to node 1 with capacity 18,\nan edge from node 13 to node 2 with capacity 20,\nan edge from node 13 to node 11 with capacity 16,\nan edge from node 13 to node 5 with capacity 16,\nan edge from node 15 to node 8 with capacity 16,\nan edge from node 15 to node 12 with capacity 7,\nan edge from node 15 to node 2 with capacity 17,\nan edge from node 15 to node 13 with capacity 20,\nan edge from node 15 to node 0 with capacity 7,\nan edge from node 15 to node 6 with capacity 13,\nWhat is the maximum flow from node 13 to node 9:"
            },
            {
                "from": "gpt",
                "value": "34."
            }
        ]
    },
    {
        "id": "flow-hard-graph715",
        "image": "data/flow/graph_visual/hard/graph715.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 13 with capacity 16,\nan edge from node 0 to node 6 with capacity 6,\nan edge from node 0 to node 15 with capacity 18,\nan edge from node 1 to node 14 with capacity 5,\nan edge from node 1 to node 12 with capacity 1,\nan edge from node 2 to node 13 with capacity 13,\nan edge from node 2 to node 10 with capacity 13,\nan edge from node 2 to node 9 with capacity 15,\nan edge from node 2 to node 0 with capacity 18,\nan edge from node 3 to node 6 with capacity 16,\nan edge from node 3 to node 9 with capacity 17,\nan edge from node 3 to node 7 with capacity 1,\nan edge from node 3 to node 8 with capacity 18,\nan edge from node 3 to node 1 with capacity 3,\nan edge from node 4 to node 12 with capacity 5,\nan edge from node 4 to node 6 with capacity 9,\nan edge from node 4 to node 9 with capacity 3,\nan edge from node 4 to node 2 with capacity 12,\nan edge from node 4 to node 15 with capacity 16,\nan edge from node 5 to node 10 with capacity 2,\nan edge from node 5 to node 6 with capacity 20,\nan edge from node 5 to node 3 with capacity 2,\nan edge from node 5 to node 9 with capacity 19,\nan edge from node 5 to node 0 with capacity 12,\nan edge from node 5 to node 8 with capacity 5,\nan edge from node 5 to node 2 with capacity 13,\nan edge from node 6 to node 13 with capacity 20,\nan edge from node 6 to node 12 with capacity 14,\nan edge from node 6 to node 3 with capacity 12,\nan edge from node 6 to node 7 with capacity 6,\nan edge from node 6 to node 0 with capacity 14,\nan edge from node 6 to node 2 with capacity 9,\nan edge from node 7 to node 10 with capacity 6,\nan edge from node 7 to node 6 with capacity 20,\nan edge from node 8 to node 14 with capacity 2,\nan edge from node 8 to node 13 with capacity 7,\nan edge from node 8 to node 12 with capacity 19,\nan edge from node 8 to node 4 with capacity 15,\nan edge from node 8 to node 9 with capacity 13,\nan edge from node 8 to node 15 with capacity 15,\nan edge from node 9 to node 4 with capacity 16,\nan edge from node 9 to node 6 with capacity 15,\nan edge from node 9 to node 7 with capacity 10,\nan edge from node 9 to node 8 with capacity 10,\nan edge from node 9 to node 15 with capacity 13,\nan edge from node 10 to node 13 with capacity 18,\nan edge from node 10 to node 3 with capacity 9,\nan edge from node 11 to node 14 with capacity 19,\nan edge from node 11 to node 5 with capacity 7,\nan edge from node 11 to node 6 with capacity 3,\nan edge from node 11 to node 3 with capacity 16,\nan edge from node 11 to node 8 with capacity 10,\nan edge from node 12 to node 6 with capacity 16,\nan edge from node 12 to node 8 with capacity 18,\nan edge from node 13 to node 12 with capacity 10,\nan edge from node 13 to node 0 with capacity 15,\nan edge from node 13 to node 1 with capacity 2,\nan edge from node 14 to node 13 with capacity 18,\nan edge from node 14 to node 12 with capacity 18,\nan edge from node 14 to node 11 with capacity 9,\nan edge from node 14 to node 3 with capacity 10,\nan edge from node 14 to node 8 with capacity 4,\nan edge from node 14 to node 1 with capacity 10,\nan edge from node 15 to node 13 with capacity 14,\nan edge from node 15 to node 11 with capacity 16,\nan edge from node 15 to node 0 with capacity 3,\nan edge from node 15 to node 8 with capacity 10,\nan edge from node 15 to node 2 with capacity 11,\nWhat is the maximum flow from node 4 to node 6:"
            },
            {
                "from": "gpt",
                "value": "45."
            }
        ]
    },
    {
        "id": "flow-hard-graph576",
        "image": "data/flow/graph_visual/hard/graph576.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 1 with capacity 15,\nan edge from node 0 to node 11 with capacity 11,\nan edge from node 0 to node 14 with capacity 13,\nan edge from node 0 to node 12 with capacity 3,\nan edge from node 0 to node 7 with capacity 3,\nan edge from node 0 to node 3 with capacity 13,\nan edge from node 0 to node 4 with capacity 8,\nan edge from node 0 to node 6 with capacity 10,\nan edge from node 1 to node 5 with capacity 4,\nan edge from node 1 to node 12 with capacity 12,\nan edge from node 2 to node 1 with capacity 11,\nan edge from node 2 to node 11 with capacity 12,\nan edge from node 2 to node 14 with capacity 2,\nan edge from node 2 to node 9 with capacity 12,\nan edge from node 2 to node 0 with capacity 20,\nan edge from node 3 to node 11 with capacity 9,\nan edge from node 3 to node 10 with capacity 9,\nan edge from node 3 to node 6 with capacity 18,\nan edge from node 4 to node 8 with capacity 14,\nan edge from node 4 to node 14 with capacity 9,\nan edge from node 4 to node 6 with capacity 12,\nan edge from node 5 to node 13 with capacity 2,\nan edge from node 5 to node 7 with capacity 9,\nan edge from node 5 to node 9 with capacity 14,\nan edge from node 5 to node 10 with capacity 13,\nan edge from node 5 to node 3 with capacity 12,\nan edge from node 5 to node 6 with capacity 5,\nan edge from node 6 to node 10 with capacity 10,\nan edge from node 6 to node 4 with capacity 8,\nan edge from node 7 to node 11 with capacity 9,\nan edge from node 7 to node 5 with capacity 10,\nan edge from node 7 to node 12 with capacity 16,\nan edge from node 7 to node 10 with capacity 1,\nan edge from node 7 to node 0 with capacity 3,\nan edge from node 8 to node 14 with capacity 19,\nan edge from node 8 to node 5 with capacity 15,\nan edge from node 8 to node 12 with capacity 1,\nan edge from node 8 to node 10 with capacity 2,\nan edge from node 8 to node 0 with capacity 5,\nan edge from node 9 to node 11 with capacity 3,\nan edge from node 9 to node 2 with capacity 9,\nan edge from node 9 to node 7 with capacity 13,\nan edge from node 9 to node 4 with capacity 18,\nan edge from node 10 to node 13 with capacity 17,\nan edge from node 10 to node 12 with capacity 2,\nan edge from node 10 to node 7 with capacity 16,\nan edge from node 10 to node 9 with capacity 7,\nan edge from node 10 to node 6 with capacity 15,\nan edge from node 11 to node 13 with capacity 2,\nan edge from node 11 to node 9 with capacity 13,\nan edge from node 11 to node 10 with capacity 14,\nan edge from node 11 to node 0 with capacity 10,\nan edge from node 12 to node 14 with capacity 15,\nan edge from node 12 to node 2 with capacity 5,\nan edge from node 12 to node 5 with capacity 13,\nan edge from node 13 to node 14 with capacity 6,\nan edge from node 13 to node 12 with capacity 16,\nan edge from node 14 to node 2 with capacity 3,\nan edge from node 14 to node 12 with capacity 2,\nan edge from node 14 to node 9 with capacity 11,\nWhat is the maximum flow from node 0 to node 14:"
            },
            {
                "from": "gpt",
                "value": "59."
            }
        ]
    },
    {
        "id": "flow-hard-graph168",
        "image": "data/flow/graph_visual/hard/graph168.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 4 with capacity 9,\nan edge from node 0 to node 6 with capacity 16,\nan edge from node 0 to node 3 with capacity 17,\nan edge from node 1 to node 8 with capacity 13,\nan edge from node 1 to node 5 with capacity 19,\nan edge from node 1 to node 11 with capacity 15,\nan edge from node 2 to node 5 with capacity 12,\nan edge from node 2 to node 1 with capacity 3,\nan edge from node 3 to node 9 with capacity 8,\nan edge from node 3 to node 6 with capacity 12,\nan edge from node 4 to node 11 with capacity 5,\nan edge from node 5 to node 9 with capacity 15,\nan edge from node 5 to node 8 with capacity 4,\nan edge from node 5 to node 10 with capacity 15,\nan edge from node 5 to node 11 with capacity 8,\nan edge from node 6 to node 0 with capacity 16,\nan edge from node 7 to node 9 with capacity 12,\nan edge from node 7 to node 4 with capacity 9,\nan edge from node 7 to node 8 with capacity 19,\nan edge from node 7 to node 10 with capacity 20,\nan edge from node 7 to node 2 with capacity 14,\nan edge from node 8 to node 0 with capacity 15,\nan edge from node 9 to node 6 with capacity 6,\nan edge from node 9 to node 1 with capacity 1,\nan edge from node 9 to node 11 with capacity 12,\nan edge from node 10 to node 4 with capacity 2,\nan edge from node 10 to node 8 with capacity 9,\nan edge from node 10 to node 6 with capacity 1,\nan edge from node 10 to node 0 with capacity 14,\nan edge from node 11 to node 3 with capacity 17,\nan edge from node 11 to node 0 with capacity 13,\nan edge from node 11 to node 1 with capacity 14,\nWhat is the maximum flow from node 6 to node 5:"
            },
            {
                "from": "gpt",
                "value": "13."
            }
        ]
    },
    {
        "id": "flow-hard-graph186",
        "image": "data/flow/graph_visual/hard/graph186.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 6 with capacity 15,\nan edge from node 0 to node 8 with capacity 15,\nan edge from node 0 to node 4 with capacity 15,\nan edge from node 1 to node 0 with capacity 7,\nan edge from node 1 to node 7 with capacity 12,\nan edge from node 1 to node 4 with capacity 12,\nan edge from node 2 to node 0 with capacity 13,\nan edge from node 2 to node 7 with capacity 9,\nan edge from node 2 to node 8 with capacity 16,\nan edge from node 2 to node 4 with capacity 19,\nan edge from node 3 to node 5 with capacity 12,\nan edge from node 3 to node 11 with capacity 4,\nan edge from node 5 to node 10 with capacity 4,\nan edge from node 6 to node 11 with capacity 2,\nan edge from node 6 to node 4 with capacity 2,\nan edge from node 7 to node 3 with capacity 4,\nan edge from node 7 to node 4 with capacity 20,\nan edge from node 8 to node 6 with capacity 4,\nan edge from node 8 to node 2 with capacity 4,\nan edge from node 8 to node 10 with capacity 16,\nan edge from node 9 to node 5 with capacity 20,\nan edge from node 9 to node 10 with capacity 7,\nan edge from node 10 to node 9 with capacity 7,\nan edge from node 10 to node 4 with capacity 9,\nan edge from node 11 to node 0 with capacity 1,\nan edge from node 11 to node 1 with capacity 12,\nan edge from node 11 to node 2 with capacity 2,\nan edge from node 11 to node 5 with capacity 17,\nWhat is the maximum flow from node 7 to node 4:"
            },
            {
                "from": "gpt",
                "value": "24."
            }
        ]
    },
    {
        "id": "flow-hard-graph644",
        "image": "data/flow/graph_visual/hard/graph644.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 9 with capacity 14,\nan edge from node 0 to node 4 with capacity 9,\nan edge from node 0 to node 7 with capacity 7,\nan edge from node 0 to node 13 with capacity 5,\nan edge from node 1 to node 12 with capacity 6,\nan edge from node 1 to node 10 with capacity 15,\nan edge from node 1 to node 7 with capacity 3,\nan edge from node 2 to node 4 with capacity 1,\nan edge from node 2 to node 14 with capacity 3,\nan edge from node 3 to node 9 with capacity 20,\nan edge from node 3 to node 5 with capacity 4,\nan edge from node 3 to node 4 with capacity 18,\nan edge from node 3 to node 11 with capacity 1,\nan edge from node 4 to node 12 with capacity 15,\nan edge from node 4 to node 6 with capacity 4,\nan edge from node 4 to node 5 with capacity 2,\nan edge from node 4 to node 0 with capacity 12,\nan edge from node 4 to node 8 with capacity 14,\nan edge from node 5 to node 10 with capacity 16,\nan edge from node 5 to node 3 with capacity 2,\nan edge from node 5 to node 7 with capacity 8,\nan edge from node 5 to node 13 with capacity 1,\nan edge from node 6 to node 2 with capacity 20,\nan edge from node 6 to node 4 with capacity 2,\nan edge from node 7 to node 11 with capacity 16,\nan edge from node 7 to node 8 with capacity 5,\nan edge from node 7 to node 1 with capacity 9,\nan edge from node 7 to node 13 with capacity 17,\nan edge from node 8 to node 15 with capacity 2,\nan edge from node 8 to node 9 with capacity 9,\nan edge from node 8 to node 5 with capacity 16,\nan edge from node 8 to node 0 with capacity 5,\nan edge from node 8 to node 1 with capacity 15,\nan edge from node 9 to node 12 with capacity 3,\nan edge from node 9 to node 14 with capacity 3,\nan edge from node 9 to node 1 with capacity 3,\nan edge from node 10 to node 5 with capacity 5,\nan edge from node 10 to node 0 with capacity 15,\nan edge from node 11 to node 9 with capacity 3,\nan edge from node 11 to node 4 with capacity 10,\nan edge from node 11 to node 3 with capacity 10,\nan edge from node 11 to node 1 with capacity 3,\nan edge from node 11 to node 13 with capacity 8,\nan edge from node 12 to node 15 with capacity 10,\nan edge from node 12 to node 5 with capacity 2,\nan edge from node 12 to node 0 with capacity 7,\nan edge from node 12 to node 7 with capacity 18,\nan edge from node 12 to node 14 with capacity 2,\nan edge from node 13 to node 4 with capacity 16,\nan edge from node 13 to node 7 with capacity 1,\nan edge from node 13 to node 8 with capacity 3,\nan edge from node 14 to node 12 with capacity 15,\nan edge from node 14 to node 5 with capacity 8,\nan edge from node 14 to node 7 with capacity 20,\nan edge from node 15 to node 9 with capacity 15,\nan edge from node 15 to node 1 with capacity 1,\nWhat is the maximum flow from node 8 to node 3:"
            },
            {
                "from": "gpt",
                "value": "12."
            }
        ]
    },
    {
        "id": "flow-hard-graph582",
        "image": "data/flow/graph_visual/hard/graph582.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 11 with capacity 11,\nan edge from node 0 to node 5 with capacity 13,\nan edge from node 0 to node 10 with capacity 16,\nan edge from node 0 to node 6 with capacity 1,\nan edge from node 1 to node 11 with capacity 20,\nan edge from node 1 to node 13 with capacity 1,\nan edge from node 1 to node 9 with capacity 10,\nan edge from node 2 to node 11 with capacity 20,\nan edge from node 2 to node 3 with capacity 20,\nan edge from node 2 to node 13 with capacity 6,\nan edge from node 2 to node 9 with capacity 16,\nan edge from node 4 to node 11 with capacity 20,\nan edge from node 4 to node 3 with capacity 5,\nan edge from node 4 to node 10 with capacity 11,\nan edge from node 4 to node 9 with capacity 10,\nan edge from node 4 to node 7 with capacity 1,\nan edge from node 5 to node 4 with capacity 17,\nan edge from node 5 to node 7 with capacity 15,\nan edge from node 7 to node 2 with capacity 5,\nan edge from node 7 to node 6 with capacity 19,\nan edge from node 7 to node 13 with capacity 2,\nan edge from node 8 to node 3 with capacity 6,\nan edge from node 8 to node 0 with capacity 16,\nan edge from node 8 to node 2 with capacity 5,\nan edge from node 8 to node 13 with capacity 11,\nan edge from node 9 to node 14 with capacity 6,\nan edge from node 9 to node 8 with capacity 10,\nan edge from node 10 to node 0 with capacity 9,\nan edge from node 10 to node 9 with capacity 7,\nan edge from node 11 to node 9 with capacity 9,\nan edge from node 12 to node 14 with capacity 20,\nan edge from node 12 to node 1 with capacity 4,\nan edge from node 12 to node 2 with capacity 5,\nan edge from node 12 to node 6 with capacity 11,\nan edge from node 13 to node 1 with capacity 8,\nan edge from node 13 to node 5 with capacity 13,\nan edge from node 13 to node 10 with capacity 5,\nan edge from node 13 to node 6 with capacity 12,\nan edge from node 13 to node 12 with capacity 4,\nan edge from node 14 to node 0 with capacity 18,\nan edge from node 14 to node 10 with capacity 11,\nan edge from node 14 to node 4 with capacity 3,\nan edge from node 14 to node 2 with capacity 19,\nan edge from node 14 to node 7 with capacity 9,\nWhat is the maximum flow from node 13 to node 3:"
            },
            {
                "from": "gpt",
                "value": "30."
            }
        ]
    },
    {
        "id": "flow-hard-graph546",
        "image": "data/flow/graph_visual/hard/graph546.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 9 with capacity 8,\nan edge from node 0 to node 8 with capacity 8,\nan edge from node 0 to node 10 with capacity 20,\nan edge from node 0 to node 4 with capacity 1,\nan edge from node 2 to node 13 with capacity 16,\nan edge from node 2 to node 12 with capacity 7,\nan edge from node 2 to node 3 with capacity 16,\nan edge from node 2 to node 6 with capacity 1,\nan edge from node 2 to node 11 with capacity 4,\nan edge from node 2 to node 14 with capacity 2,\nan edge from node 2 to node 9 with capacity 6,\nan edge from node 2 to node 8 with capacity 17,\nan edge from node 3 to node 6 with capacity 13,\nan edge from node 3 to node 11 with capacity 18,\nan edge from node 3 to node 1 with capacity 13,\nan edge from node 4 to node 3 with capacity 11,\nan edge from node 4 to node 11 with capacity 11,\nan edge from node 4 to node 14 with capacity 6,\nan edge from node 4 to node 5 with capacity 2,\nan edge from node 4 to node 1 with capacity 19,\nan edge from node 4 to node 8 with capacity 12,\nan edge from node 4 to node 0 with capacity 12,\nan edge from node 4 to node 2 with capacity 3,\nan edge from node 5 to node 4 with capacity 20,\nan edge from node 5 to node 0 with capacity 16,\nan edge from node 5 to node 2 with capacity 17,\nan edge from node 6 to node 12 with capacity 2,\nan edge from node 6 to node 10 with capacity 19,\nan edge from node 7 to node 3 with capacity 13,\nan edge from node 7 to node 1 with capacity 10,\nan edge from node 7 to node 9 with capacity 18,\nan edge from node 7 to node 8 with capacity 18,\nan edge from node 7 to node 10 with capacity 2,\nan edge from node 7 to node 2 with capacity 19,\nan edge from node 9 to node 14 with capacity 6,\nan edge from node 9 to node 4 with capacity 3,\nan edge from node 9 to node 2 with capacity 15,\nan edge from node 10 to node 12 with capacity 6,\nan edge from node 10 to node 11 with capacity 14,\nan edge from node 10 to node 4 with capacity 18,\nan edge from node 10 to node 0 with capacity 13,\nan edge from node 11 to node 13 with capacity 8,\nan edge from node 11 to node 6 with capacity 12,\nan edge from node 11 to node 14 with capacity 16,\nan edge from node 11 to node 8 with capacity 15,\nan edge from node 11 to node 10 with capacity 16,\nan edge from node 11 to node 0 with capacity 14,\nan edge from node 12 to node 7 with capacity 10,\nan edge from node 12 to node 3 with capacity 17,\nan edge from node 12 to node 11 with capacity 9,\nan edge from node 12 to node 1 with capacity 16,\nan edge from node 12 to node 9 with capacity 16,\nan edge from node 12 to node 0 with capacity 10,\nan edge from node 13 to node 3 with capacity 7,\nan edge from node 13 to node 11 with capacity 7,\nan edge from node 13 to node 1 with capacity 11,\nan edge from node 14 to node 6 with capacity 20,\nan edge from node 14 to node 5 with capacity 3,\nan edge from node 14 to node 10 with capacity 9,\nan edge from node 14 to node 4 with capacity 11,\nan edge from node 14 to node 0 with capacity 6,\nWhat is the maximum flow from node 7 to node 12:"
            },
            {
                "from": "gpt",
                "value": "15."
            }
        ]
    },
    {
        "id": "flow-hard-graph660",
        "image": "data/flow/graph_visual/hard/graph660.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 9 with capacity 17,\nan edge from node 1 to node 15 with capacity 1,\nan edge from node 1 to node 5 with capacity 19,\nan edge from node 2 to node 13 with capacity 5,\nan edge from node 2 to node 11 with capacity 16,\nan edge from node 2 to node 6 with capacity 10,\nan edge from node 2 to node 4 with capacity 5,\nan edge from node 2 to node 5 with capacity 19,\nan edge from node 2 to node 9 with capacity 9,\nan edge from node 3 to node 0 with capacity 7,\nan edge from node 3 to node 14 with capacity 5,\nan edge from node 3 to node 8 with capacity 13,\nan edge from node 3 to node 10 with capacity 1,\nan edge from node 3 to node 4 with capacity 19,\nan edge from node 4 to node 13 with capacity 15,\nan edge from node 4 to node 15 with capacity 7,\nan edge from node 4 to node 1 with capacity 18,\nan edge from node 4 to node 9 with capacity 11,\nan edge from node 5 to node 8 with capacity 18,\nan edge from node 6 to node 13 with capacity 15,\nan edge from node 6 to node 0 with capacity 8,\nan edge from node 6 to node 5 with capacity 12,\nan edge from node 7 to node 12 with capacity 19,\nan edge from node 7 to node 10 with capacity 3,\nan edge from node 7 to node 5 with capacity 10,\nan edge from node 8 to node 0 with capacity 14,\nan edge from node 8 to node 5 with capacity 17,\nan edge from node 9 to node 0 with capacity 17,\nan edge from node 9 to node 14 with capacity 5,\nan edge from node 9 to node 8 with capacity 13,\nan edge from node 9 to node 2 with capacity 19,\nan edge from node 9 to node 10 with capacity 2,\nan edge from node 9 to node 5 with capacity 16,\nan edge from node 9 to node 7 with capacity 10,\nan edge from node 9 to node 1 with capacity 13,\nan edge from node 10 to node 8 with capacity 12,\nan edge from node 10 to node 2 with capacity 11,\nan edge from node 10 to node 15 with capacity 4,\nan edge from node 10 to node 6 with capacity 7,\nan edge from node 10 to node 9 with capacity 9,\nan edge from node 11 to node 13 with capacity 5,\nan edge from node 11 to node 3 with capacity 8,\nan edge from node 11 to node 8 with capacity 6,\nan edge from node 12 to node 15 with capacity 1,\nan edge from node 12 to node 4 with capacity 19,\nan edge from node 12 to node 1 with capacity 19,\nan edge from node 13 to node 11 with capacity 2,\nan edge from node 13 to node 2 with capacity 8,\nan edge from node 13 to node 6 with capacity 2,\nan edge from node 13 to node 10 with capacity 16,\nan edge from node 14 to node 13 with capacity 4,\nan edge from node 14 to node 2 with capacity 16,\nan edge from node 14 to node 12 with capacity 18,\nan edge from node 14 to node 6 with capacity 5,\nan edge from node 14 to node 10 with capacity 2,\nan edge from node 14 to node 4 with capacity 15,\nan edge from node 15 to node 11 with capacity 2,\nan edge from node 15 to node 14 with capacity 10,\nan edge from node 15 to node 6 with capacity 20,\nan edge from node 15 to node 10 with capacity 18,\nan edge from node 15 to node 1 with capacity 11,\nWhat is the maximum flow from node 4 to node 11:"
            },
            {
                "from": "gpt",
                "value": "20."
            }
        ]
    },
    {
        "id": "flow-hard-graph997",
        "image": "data/flow/graph_visual/hard/graph997.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 1 to node 18 with capacity 12,\nan edge from node 1 to node 9 with capacity 17,\nan edge from node 1 to node 5 with capacity 2,\nan edge from node 2 to node 16 with capacity 6,\nan edge from node 2 to node 14 with capacity 2,\nan edge from node 2 to node 12 with capacity 3,\nan edge from node 2 to node 4 with capacity 4,\nan edge from node 2 to node 13 with capacity 4,\nan edge from node 2 to node 6 with capacity 7,\nan edge from node 2 to node 0 with capacity 20,\nan edge from node 2 to node 15 with capacity 6,\nan edge from node 3 to node 12 with capacity 16,\nan edge from node 3 to node 1 with capacity 12,\nan edge from node 3 to node 18 with capacity 15,\nan edge from node 3 to node 4 with capacity 12,\nan edge from node 3 to node 5 with capacity 4,\nan edge from node 4 to node 8 with capacity 11,\nan edge from node 4 to node 1 with capacity 2,\nan edge from node 4 to node 17 with capacity 6,\nan edge from node 4 to node 15 with capacity 9,\nan edge from node 5 to node 8 with capacity 8,\nan edge from node 5 to node 18 with capacity 18,\nan edge from node 5 to node 13 with capacity 11,\nan edge from node 5 to node 3 with capacity 14,\nan edge from node 5 to node 15 with capacity 12,\nan edge from node 6 to node 4 with capacity 18,\nan edge from node 6 to node 10 with capacity 7,\nan edge from node 6 to node 15 with capacity 12,\nan edge from node 6 to node 9 with capacity 16,\nan edge from node 7 to node 16 with capacity 6,\nan edge from node 7 to node 13 with capacity 9,\nan edge from node 7 to node 3 with capacity 15,\nan edge from node 7 to node 10 with capacity 6,\nan edge from node 8 to node 14 with capacity 18,\nan edge from node 8 to node 1 with capacity 17,\nan edge from node 8 to node 15 with capacity 18,\nan edge from node 8 to node 5 with capacity 15,\nan edge from node 9 to node 8 with capacity 18,\nan edge from node 9 to node 16 with capacity 8,\nan edge from node 9 to node 4 with capacity 2,\nan edge from node 9 to node 10 with capacity 6,\nan edge from node 9 to node 2 with capacity 10,\nan edge from node 10 to node 16 with capacity 9,\nan edge from node 10 to node 18 with capacity 4,\nan edge from node 10 to node 17 with capacity 9,\nan edge from node 10 to node 0 with capacity 20,\nan edge from node 10 to node 15 with capacity 4,\nan edge from node 11 to node 4 with capacity 1,\nan edge from node 12 to node 17 with capacity 6,\nan edge from node 12 to node 9 with capacity 19,\nan edge from node 13 to node 1 with capacity 13,\nan edge from node 13 to node 18 with capacity 10,\nan edge from node 13 to node 5 with capacity 20,\nan edge from node 14 to node 4 with capacity 11,\nan edge from node 14 to node 0 with capacity 10,\nan edge from node 14 to node 2 with capacity 8,\nan edge from node 14 to node 15 with capacity 12,\nan edge from node 14 to node 7 with capacity 1,\nan edge from node 15 to node 12 with capacity 12,\nan edge from node 15 to node 3 with capacity 6,\nan edge from node 15 to node 11 with capacity 18,\nan edge from node 15 to node 5 with capacity 18,\nan edge from node 16 to node 12 with capacity 11,\nan edge from node 16 to node 4 with capacity 19,\nan edge from node 16 to node 10 with capacity 5,\nan edge from node 16 to node 7 with capacity 1,\nan edge from node 17 to node 8 with capacity 13,\nan edge from node 17 to node 16 with capacity 1,\nan edge from node 18 to node 12 with capacity 20,\nan edge from node 18 to node 10 with capacity 8,\nWhat is the maximum flow from node 16 to node 15:"
            },
            {
                "from": "gpt",
                "value": "36."
            }
        ]
    },
    {
        "id": "flow-hard-graph136",
        "image": "data/flow/graph_visual/hard/graph136.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 7 with capacity 5,\nan edge from node 1 to node 8 with capacity 18,\nan edge from node 1 to node 0 with capacity 3,\nan edge from node 2 to node 10 with capacity 11,\nan edge from node 3 to node 4 with capacity 12,\nan edge from node 3 to node 6 with capacity 17,\nan edge from node 4 to node 8 with capacity 13,\nan edge from node 4 to node 6 with capacity 14,\nan edge from node 5 to node 7 with capacity 18,\nan edge from node 6 to node 3 with capacity 9,\nan edge from node 6 to node 8 with capacity 10,\nan edge from node 6 to node 11 with capacity 2,\nan edge from node 6 to node 9 with capacity 20,\nan edge from node 7 to node 4 with capacity 1,\nan edge from node 7 to node 11 with capacity 18,\nan edge from node 7 to node 6 with capacity 2,\nan edge from node 8 to node 7 with capacity 10,\nan edge from node 8 to node 10 with capacity 5,\nan edge from node 8 to node 6 with capacity 3,\nan edge from node 8 to node 0 with capacity 9,\nan edge from node 9 to node 3 with capacity 20,\nan edge from node 9 to node 4 with capacity 5,\nan edge from node 9 to node 1 with capacity 1,\nan edge from node 9 to node 7 with capacity 15,\nan edge from node 9 to node 10 with capacity 16,\nan edge from node 9 to node 2 with capacity 15,\nan edge from node 10 to node 3 with capacity 13,\nan edge from node 10 to node 4 with capacity 11,\nan edge from node 10 to node 1 with capacity 12,\nan edge from node 10 to node 7 with capacity 14,\nan edge from node 10 to node 6 with capacity 17,\nan edge from node 10 to node 9 with capacity 19,\nan edge from node 11 to node 1 with capacity 5,\nan edge from node 11 to node 6 with capacity 16,\nWhat is the maximum flow from node 4 to node 2:"
            },
            {
                "from": "gpt",
                "value": "15."
            }
        ]
    },
    {
        "id": "flow-hard-graph392",
        "image": "data/flow/graph_visual/hard/graph392.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 1 with capacity 15,\nan edge from node 0 to node 7 with capacity 8,\nan edge from node 0 to node 5 with capacity 6,\nan edge from node 1 to node 2 with capacity 15,\nan edge from node 2 to node 6 with capacity 5,\nan edge from node 2 to node 7 with capacity 6,\nan edge from node 2 to node 3 with capacity 15,\nan edge from node 2 to node 10 with capacity 1,\nan edge from node 2 to node 5 with capacity 19,\nan edge from node 3 to node 7 with capacity 10,\nan edge from node 3 to node 11 with capacity 17,\nan edge from node 4 to node 10 with capacity 2,\nan edge from node 5 to node 6 with capacity 7,\nan edge from node 5 to node 1 with capacity 8,\nan edge from node 5 to node 2 with capacity 20,\nan edge from node 5 to node 10 with capacity 5,\nan edge from node 5 to node 11 with capacity 14,\nan edge from node 6 to node 5 with capacity 13,\nan edge from node 7 to node 6 with capacity 8,\nan edge from node 7 to node 1 with capacity 15,\nan edge from node 7 to node 10 with capacity 18,\nan edge from node 8 to node 1 with capacity 8,\nan edge from node 8 to node 0 with capacity 20,\nan edge from node 8 to node 7 with capacity 16,\nan edge from node 8 to node 11 with capacity 13,\nan edge from node 9 to node 3 with capacity 13,\nan edge from node 9 to node 10 with capacity 20,\nan edge from node 10 to node 6 with capacity 9,\nan edge from node 10 to node 1 with capacity 17,\nan edge from node 10 to node 9 with capacity 2,\nan edge from node 10 to node 12 with capacity 10,\nan edge from node 11 to node 7 with capacity 2,\nan edge from node 11 to node 9 with capacity 11,\nan edge from node 12 to node 1 with capacity 3,\nan edge from node 12 to node 4 with capacity 1,\nan edge from node 13 to node 2 with capacity 2,\nWhat is the maximum flow from node 8 to node 6:"
            },
            {
                "from": "gpt",
                "value": "29."
            }
        ]
    },
    {
        "id": "flow-hard-graph128",
        "image": "data/flow/graph_visual/hard/graph128.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 2 with capacity 3,\nan edge from node 0 to node 6 with capacity 12,\nan edge from node 1 to node 5 with capacity 18,\nan edge from node 2 to node 5 with capacity 13,\nan edge from node 3 to node 0 with capacity 3,\nan edge from node 3 to node 10 with capacity 1,\nan edge from node 4 to node 10 with capacity 12,\nan edge from node 5 to node 2 with capacity 11,\nan edge from node 5 to node 8 with capacity 5,\nan edge from node 5 to node 6 with capacity 4,\nan edge from node 5 to node 10 with capacity 11,\nan edge from node 5 to node 1 with capacity 20,\nan edge from node 5 to node 11 with capacity 14,\nan edge from node 6 to node 0 with capacity 9,\nan edge from node 6 to node 8 with capacity 14,\nan edge from node 6 to node 4 with capacity 6,\nan edge from node 6 to node 5 with capacity 6,\nan edge from node 7 to node 8 with capacity 16,\nan edge from node 8 to node 0 with capacity 4,\nan edge from node 8 to node 2 with capacity 12,\nan edge from node 8 to node 6 with capacity 4,\nan edge from node 8 to node 1 with capacity 9,\nan edge from node 8 to node 4 with capacity 10,\nan edge from node 8 to node 11 with capacity 2,\nan edge from node 8 to node 5 with capacity 20,\nan edge from node 9 to node 11 with capacity 14,\nan edge from node 10 to node 1 with capacity 1,\nan edge from node 10 to node 4 with capacity 1,\nan edge from node 11 to node 6 with capacity 10,\nan edge from node 11 to node 3 with capacity 4,\nan edge from node 11 to node 1 with capacity 17,\nWhat is the maximum flow from node 0 to node 3:"
            },
            {
                "from": "gpt",
                "value": "4."
            }
        ]
    },
    {
        "id": "flow-hard-graph197",
        "image": "data/flow/graph_visual/hard/graph197.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 4 with capacity 13,\nan edge from node 0 to node 2 with capacity 10,\nan edge from node 0 to node 9 with capacity 1,\nan edge from node 1 to node 6 with capacity 6,\nan edge from node 1 to node 4 with capacity 9,\nan edge from node 1 to node 7 with capacity 17,\nan edge from node 1 to node 2 with capacity 15,\nan edge from node 1 to node 9 with capacity 20,\nan edge from node 2 to node 1 with capacity 10,\nan edge from node 2 to node 3 with capacity 1,\nan edge from node 3 to node 6 with capacity 5,\nan edge from node 4 to node 6 with capacity 8,\nan edge from node 4 to node 0 with capacity 19,\nan edge from node 4 to node 2 with capacity 7,\nan edge from node 5 to node 10 with capacity 17,\nan edge from node 5 to node 7 with capacity 18,\nan edge from node 5 to node 3 with capacity 1,\nan edge from node 6 to node 8 with capacity 16,\nan edge from node 6 to node 3 with capacity 16,\nan edge from node 7 to node 4 with capacity 19,\nan edge from node 7 to node 5 with capacity 6,\nan edge from node 8 to node 6 with capacity 20,\nan edge from node 8 to node 5 with capacity 12,\nan edge from node 8 to node 3 with capacity 17,\nan edge from node 9 to node 0 with capacity 18,\nan edge from node 9 to node 11 with capacity 19,\nan edge from node 9 to node 1 with capacity 15,\nan edge from node 9 to node 3 with capacity 16,\nan edge from node 10 to node 4 with capacity 7,\nan edge from node 10 to node 8 with capacity 15,\nWhat is the maximum flow from node 1 to node 11:"
            },
            {
                "from": "gpt",
                "value": "19."
            }
        ]
    },
    {
        "id": "flow-hard-graph612",
        "image": "data/flow/graph_visual/hard/graph612.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 15 with capacity 6,\nan edge from node 0 to node 9 with capacity 3,\nan edge from node 0 to node 4 with capacity 9,\nan edge from node 1 to node 15 with capacity 13,\nan edge from node 1 to node 6 with capacity 19,\nan edge from node 1 to node 13 with capacity 18,\nan edge from node 1 to node 0 with capacity 9,\nan edge from node 2 to node 11 with capacity 13,\nan edge from node 2 to node 1 with capacity 2,\nan edge from node 2 to node 13 with capacity 13,\nan edge from node 2 to node 0 with capacity 8,\nan edge from node 3 to node 2 with capacity 20,\nan edge from node 3 to node 15 with capacity 16,\nan edge from node 3 to node 8 with capacity 12,\nan edge from node 3 to node 1 with capacity 16,\nan edge from node 3 to node 14 with capacity 11,\nan edge from node 3 to node 0 with capacity 17,\nan edge from node 4 to node 8 with capacity 12,\nan edge from node 4 to node 9 with capacity 1,\nan edge from node 4 to node 1 with capacity 1,\nan edge from node 4 to node 3 with capacity 10,\nan edge from node 4 to node 5 with capacity 12,\nan edge from node 4 to node 10 with capacity 2,\nan edge from node 6 to node 2 with capacity 13,\nan edge from node 6 to node 3 with capacity 19,\nan edge from node 6 to node 4 with capacity 3,\nan edge from node 7 to node 11 with capacity 3,\nan edge from node 7 to node 6 with capacity 2,\nan edge from node 7 to node 3 with capacity 11,\nan edge from node 7 to node 5 with capacity 20,\nan edge from node 7 to node 10 with capacity 13,\nan edge from node 7 to node 13 with capacity 3,\nan edge from node 8 to node 4 with capacity 12,\nan edge from node 9 to node 12 with capacity 2,\nan edge from node 9 to node 7 with capacity 4,\nan edge from node 9 to node 8 with capacity 10,\nan edge from node 9 to node 5 with capacity 1,\nan edge from node 9 to node 4 with capacity 20,\nan edge from node 9 to node 13 with capacity 6,\nan edge from node 10 to node 7 with capacity 7,\nan edge from node 10 to node 9 with capacity 17,\nan edge from node 11 to node 9 with capacity 7,\nan edge from node 11 to node 13 with capacity 11,\nan edge from node 12 to node 3 with capacity 5,\nan edge from node 12 to node 4 with capacity 4,\nan edge from node 13 to node 12 with capacity 5,\nan edge from node 13 to node 2 with capacity 13,\nan edge from node 13 to node 15 with capacity 4,\nan edge from node 13 to node 9 with capacity 7,\nan edge from node 13 to node 1 with capacity 6,\nan edge from node 13 to node 14 with capacity 14,\nan edge from node 14 to node 9 with capacity 5,\nan edge from node 14 to node 4 with capacity 4,\nan edge from node 14 to node 13 with capacity 6,\nan edge from node 15 to node 11 with capacity 20,\nan edge from node 15 to node 8 with capacity 20,\nan edge from node 15 to node 1 with capacity 10,\nan edge from node 15 to node 5 with capacity 4,\nWhat is the maximum flow from node 6 to node 12:"
            },
            {
                "from": "gpt",
                "value": "7."
            }
        ]
    },
    {
        "id": "flow-hard-graph317",
        "image": "data/flow/graph_visual/hard/graph317.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 11 with capacity 10,\nan edge from node 1 to node 12 with capacity 13,\nan edge from node 1 to node 10 with capacity 17,\nan edge from node 1 to node 0 with capacity 5,\nan edge from node 1 to node 2 with capacity 14,\nan edge from node 2 to node 5 with capacity 6,\nan edge from node 2 to node 6 with capacity 9,\nan edge from node 2 to node 8 with capacity 3,\nan edge from node 2 to node 7 with capacity 17,\nan edge from node 3 to node 10 with capacity 12,\nan edge from node 3 to node 9 with capacity 6,\nan edge from node 4 to node 11 with capacity 15,\nan edge from node 4 to node 7 with capacity 9,\nan edge from node 5 to node 4 with capacity 9,\nan edge from node 5 to node 1 with capacity 8,\nan edge from node 6 to node 12 with capacity 1,\nan edge from node 6 to node 9 with capacity 12,\nan edge from node 6 to node 8 with capacity 11,\nan edge from node 6 to node 2 with capacity 8,\nan edge from node 7 to node 4 with capacity 9,\nan edge from node 7 to node 10 with capacity 16,\nan edge from node 7 to node 11 with capacity 17,\nan edge from node 7 to node 0 with capacity 10,\nan edge from node 7 to node 8 with capacity 16,\nan edge from node 8 to node 3 with capacity 16,\nan edge from node 8 to node 9 with capacity 14,\nan edge from node 9 to node 8 with capacity 10,\nan edge from node 9 to node 2 with capacity 18,\nan edge from node 10 to node 6 with capacity 6,\nan edge from node 10 to node 0 with capacity 18,\nan edge from node 10 to node 9 with capacity 8,\nan edge from node 11 to node 4 with capacity 18,\nan edge from node 12 to node 11 with capacity 12,\nan edge from node 12 to node 0 with capacity 3,\nan edge from node 12 to node 2 with capacity 6,\nWhat is the maximum flow from node 9 to node 12:"
            },
            {
                "from": "gpt",
                "value": "7."
            }
        ]
    },
    {
        "id": "flow-hard-graph440",
        "image": "data/flow/graph_visual/hard/graph440.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 4 with capacity 1,\nan edge from node 1 to node 12 with capacity 19,\nan edge from node 1 to node 7 with capacity 19,\nan edge from node 1 to node 4 with capacity 9,\nan edge from node 1 to node 11 with capacity 15,\nan edge from node 1 to node 10 with capacity 9,\nan edge from node 2 to node 10 with capacity 16,\nan edge from node 3 to node 11 with capacity 19,\nan edge from node 3 to node 6 with capacity 19,\nan edge from node 4 to node 2 with capacity 12,\nan edge from node 4 to node 11 with capacity 7,\nan edge from node 4 to node 5 with capacity 14,\nan edge from node 5 to node 3 with capacity 17,\nan edge from node 5 to node 11 with capacity 17,\nan edge from node 5 to node 6 with capacity 19,\nan edge from node 5 to node 10 with capacity 13,\nan edge from node 5 to node 1 with capacity 1,\nan edge from node 6 to node 12 with capacity 12,\nan edge from node 6 to node 5 with capacity 12,\nan edge from node 7 to node 3 with capacity 19,\nan edge from node 7 to node 4 with capacity 14,\nan edge from node 7 to node 6 with capacity 10,\nan edge from node 8 to node 0 with capacity 11,\nan edge from node 8 to node 5 with capacity 4,\nan edge from node 9 to node 13 with capacity 15,\nan edge from node 9 to node 10 with capacity 2,\nan edge from node 10 to node 13 with capacity 7,\nan edge from node 10 to node 12 with capacity 18,\nan edge from node 10 to node 9 with capacity 13,\nan edge from node 11 to node 3 with capacity 11,\nan edge from node 11 to node 0 with capacity 6,\nan edge from node 12 to node 13 with capacity 14,\nan edge from node 12 to node 3 with capacity 17,\nan edge from node 12 to node 0 with capacity 14,\nan edge from node 12 to node 1 with capacity 14,\nan edge from node 13 to node 3 with capacity 18,\nan edge from node 13 to node 5 with capacity 3,\nWhat is the maximum flow from node 9 to node 5:"
            },
            {
                "from": "gpt",
                "value": "17."
            }
        ]
    },
    {
        "id": "flow-hard-graph1141",
        "image": "data/flow/graph_visual/hard/graph1141.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 12 with capacity 17,\nan edge from node 0 to node 18 with capacity 9,\nan edge from node 1 to node 14 with capacity 8,\nan edge from node 1 to node 11 with capacity 5,\nan edge from node 1 to node 17 with capacity 11,\nan edge from node 2 to node 10 with capacity 17,\nan edge from node 2 to node 7 with capacity 12,\nan edge from node 2 to node 12 with capacity 17,\nan edge from node 2 to node 4 with capacity 18,\nan edge from node 2 to node 3 with capacity 7,\nan edge from node 2 to node 1 with capacity 11,\nan edge from node 3 to node 0 with capacity 16,\nan edge from node 3 to node 10 with capacity 3,\nan edge from node 3 to node 19 with capacity 7,\nan edge from node 3 to node 12 with capacity 17,\nan edge from node 3 to node 15 with capacity 18,\nan edge from node 3 to node 4 with capacity 17,\nan edge from node 3 to node 18 with capacity 2,\nan edge from node 3 to node 16 with capacity 18,\nan edge from node 4 to node 0 with capacity 19,\nan edge from node 4 to node 7 with capacity 3,\nan edge from node 4 to node 1 with capacity 16,\nan edge from node 4 to node 8 with capacity 19,\nan edge from node 5 to node 14 with capacity 18,\nan edge from node 5 to node 15 with capacity 9,\nan edge from node 5 to node 18 with capacity 20,\nan edge from node 5 to node 3 with capacity 12,\nan edge from node 5 to node 1 with capacity 20,\nan edge from node 5 to node 2 with capacity 17,\nan edge from node 5 to node 8 with capacity 17,\nan edge from node 6 to node 14 with capacity 17,\nan edge from node 6 to node 7 with capacity 8,\nan edge from node 6 to node 9 with capacity 4,\nan edge from node 6 to node 18 with capacity 11,\nan edge from node 6 to node 3 with capacity 13,\nan edge from node 6 to node 13 with capacity 1,\nan edge from node 6 to node 1 with capacity 13,\nan edge from node 6 to node 8 with capacity 5,\nan edge from node 7 to node 0 with capacity 16,\nan edge from node 7 to node 10 with capacity 2,\nan edge from node 7 to node 19 with capacity 5,\nan edge from node 7 to node 3 with capacity 13,\nan edge from node 7 to node 6 with capacity 12,\nan edge from node 7 to node 2 with capacity 1,\nan edge from node 7 to node 11 with capacity 6,\nan edge from node 7 to node 8 with capacity 18,\nan edge from node 8 to node 14 with capacity 19,\nan edge from node 8 to node 7 with capacity 13,\nan edge from node 8 to node 1 with capacity 2,\nan edge from node 8 to node 6 with capacity 19,\nan edge from node 9 to node 0 with capacity 1,\nan edge from node 9 to node 10 with capacity 4,\nan edge from node 9 to node 19 with capacity 5,\nan edge from node 9 to node 1 with capacity 18,\nan edge from node 10 to node 14 with capacity 6,\nan edge from node 10 to node 19 with capacity 2,\nan edge from node 10 to node 18 with capacity 11,\nan edge from node 11 to node 19 with capacity 5,\nan edge from node 11 to node 9 with capacity 7,\nan edge from node 12 to node 0 with capacity 14,\nan edge from node 12 to node 15 with capacity 3,\nan edge from node 12 to node 2 with capacity 7,\nan edge from node 12 to node 16 with capacity 8,\nan edge from node 13 to node 10 with capacity 15,\nan edge from node 13 to node 18 with capacity 19,\nan edge from node 13 to node 6 with capacity 9,\nan edge from node 13 to node 16 with capacity 5,\nan edge from node 14 to node 0 with capacity 11,\nan edge from node 14 to node 19 with capacity 11,\nan edge from node 14 to node 12 with capacity 19,\nan edge from node 14 to node 6 with capacity 13,\nan edge from node 14 to node 17 with capacity 13,\nan edge from node 15 to node 14 with capacity 15,\nan edge from node 15 to node 19 with capacity 11,\nan edge from node 15 to node 9 with capacity 14,\nan edge from node 15 to node 16 with capacity 14,\nan edge from node 15 to node 11 with capacity 2,\nan edge from node 15 to node 8 with capacity 7,\nan edge from node 16 to node 14 with capacity 2,\nan edge from node 16 to node 19 with capacity 16,\nan edge from node 16 to node 12 with capacity 2,\nan edge from node 16 to node 3 with capacity 7,\nan edge from node 16 to node 11 with capacity 20,\nan edge from node 17 to node 0 with capacity 1,\nan edge from node 17 to node 7 with capacity 6,\nan edge from node 17 to node 18 with capacity 15,\nan edge from node 17 to node 1 with capacity 17,\nan edge from node 17 to node 6 with capacity 17,\nan edge from node 17 to node 16 with capacity 4,\nan edge from node 17 to node 11 with capacity 16,\nan edge from node 17 to node 8 with capacity 17,\nan edge from node 18 to node 0 with capacity 17,\nan edge from node 18 to node 5 with capacity 15,\nan edge from node 18 to node 19 with capacity 7,\nan edge from node 18 to node 9 with capacity 8,\nan edge from node 18 to node 1 with capacity 12,\nan edge from node 18 to node 16 with capacity 13,\nan edge from node 18 to node 11 with capacity 19,\nan edge from node 19 to node 0 with capacity 17,\nan edge from node 19 to node 3 with capacity 13,\nan edge from node 19 to node 13 with capacity 18,\nan edge from node 19 to node 17 with capacity 17,\nWhat is the maximum flow from node 15 to node 14:"
            },
            {
                "from": "gpt",
                "value": "63."
            }
        ]
    },
    {
        "id": "flow-hard-graph446",
        "image": "data/flow/graph_visual/hard/graph446.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 10 with capacity 1,\nan edge from node 0 to node 5 with capacity 15,\nan edge from node 0 to node 1 with capacity 6,\nan edge from node 1 to node 7 with capacity 10,\nan edge from node 1 to node 12 with capacity 16,\nan edge from node 1 to node 11 with capacity 16,\nan edge from node 2 to node 10 with capacity 20,\nan edge from node 2 to node 5 with capacity 17,\nan edge from node 2 to node 6 with capacity 9,\nan edge from node 2 to node 8 with capacity 4,\nan edge from node 3 to node 6 with capacity 14,\nan edge from node 3 to node 8 with capacity 1,\nan edge from node 3 to node 4 with capacity 11,\nan edge from node 4 to node 7 with capacity 4,\nan edge from node 4 to node 11 with capacity 6,\nan edge from node 5 to node 10 with capacity 8,\nan edge from node 5 to node 0 with capacity 11,\nan edge from node 5 to node 11 with capacity 5,\nan edge from node 6 to node 13 with capacity 19,\nan edge from node 6 to node 12 with capacity 13,\nan edge from node 6 to node 1 with capacity 13,\nan edge from node 6 to node 0 with capacity 18,\nan edge from node 7 to node 12 with capacity 18,\nan edge from node 7 to node 9 with capacity 15,\nan edge from node 8 to node 13 with capacity 8,\nan edge from node 8 to node 4 with capacity 7,\nan edge from node 10 to node 1 with capacity 18,\nan edge from node 11 to node 0 with capacity 17,\nan edge from node 11 to node 6 with capacity 14,\nan edge from node 12 to node 10 with capacity 18,\nan edge from node 12 to node 7 with capacity 4,\nan edge from node 12 to node 5 with capacity 20,\nan edge from node 13 to node 0 with capacity 10,\nWhat is the maximum flow from node 5 to node 11:"
            },
            {
                "from": "gpt",
                "value": "20."
            }
        ]
    },
    {
        "id": "flow-hard-graph548",
        "image": "data/flow/graph_visual/hard/graph548.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 5 with capacity 2,\nan edge from node 0 to node 8 with capacity 14,\nan edge from node 0 to node 3 with capacity 19,\nan edge from node 0 to node 14 with capacity 3,\nan edge from node 0 to node 6 with capacity 16,\nan edge from node 1 to node 14 with capacity 8,\nan edge from node 1 to node 4 with capacity 13,\nan edge from node 2 to node 5 with capacity 12,\nan edge from node 2 to node 14 with capacity 7,\nan edge from node 2 to node 4 with capacity 14,\nan edge from node 2 to node 11 with capacity 12,\nan edge from node 3 to node 2 with capacity 19,\nan edge from node 3 to node 0 with capacity 6,\nan edge from node 4 to node 9 with capacity 14,\nan edge from node 4 to node 5 with capacity 9,\nan edge from node 4 to node 2 with capacity 9,\nan edge from node 4 to node 12 with capacity 8,\nan edge from node 4 to node 11 with capacity 20,\nan edge from node 5 to node 7 with capacity 16,\nan edge from node 6 to node 13 with capacity 14,\nan edge from node 6 to node 7 with capacity 14,\nan edge from node 6 to node 3 with capacity 15,\nan edge from node 7 to node 10 with capacity 2,\nan edge from node 7 to node 1 with capacity 7,\nan edge from node 7 to node 4 with capacity 3,\nan edge from node 7 to node 0 with capacity 18,\nan edge from node 8 to node 14 with capacity 2,\nan edge from node 8 to node 6 with capacity 11,\nan edge from node 9 to node 7 with capacity 16,\nan edge from node 9 to node 2 with capacity 2,\nan edge from node 9 to node 8 with capacity 14,\nan edge from node 9 to node 12 with capacity 18,\nan edge from node 9 to node 14 with capacity 4,\nan edge from node 10 to node 13 with capacity 18,\nan edge from node 10 to node 5 with capacity 13,\nan edge from node 10 to node 7 with capacity 14,\nan edge from node 10 to node 2 with capacity 9,\nan edge from node 10 to node 12 with capacity 16,\nan edge from node 10 to node 6 with capacity 18,\nan edge from node 10 to node 11 with capacity 15,\nan edge from node 11 to node 2 with capacity 17,\nan edge from node 11 to node 12 with capacity 12,\nan edge from node 11 to node 10 with capacity 2,\nan edge from node 12 to node 13 with capacity 7,\nan edge from node 12 to node 10 with capacity 2,\nan edge from node 12 to node 1 with capacity 7,\nan edge from node 12 to node 11 with capacity 10,\nan edge from node 13 to node 7 with capacity 6,\nan edge from node 13 to node 2 with capacity 20,\nan edge from node 13 to node 10 with capacity 16,\nan edge from node 13 to node 4 with capacity 1,\nan edge from node 13 to node 11 with capacity 17,\nan edge from node 14 to node 7 with capacity 19,\nan edge from node 14 to node 10 with capacity 7,\nan edge from node 14 to node 11 with capacity 11,\nWhat is the maximum flow from node 5 to node 6:"
            },
            {
                "from": "gpt",
                "value": "16."
            }
        ]
    },
    {
        "id": "flow-hard-graph1095",
        "image": "data/flow/graph_visual/hard/graph1095.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 16 with capacity 19,\nan edge from node 0 to node 9 with capacity 6,\nan edge from node 0 to node 7 with capacity 1,\nan edge from node 1 to node 4 with capacity 1,\nan edge from node 1 to node 10 with capacity 16,\nan edge from node 1 to node 6 with capacity 10,\nan edge from node 1 to node 5 with capacity 2,\nan edge from node 1 to node 19 with capacity 5,\nan edge from node 1 to node 2 with capacity 11,\nan edge from node 2 to node 3 with capacity 5,\nan edge from node 2 to node 7 with capacity 11,\nan edge from node 2 to node 13 with capacity 9,\nan edge from node 3 to node 9 with capacity 3,\nan edge from node 3 to node 5 with capacity 19,\nan edge from node 3 to node 19 with capacity 10,\nan edge from node 3 to node 13 with capacity 12,\nan edge from node 3 to node 17 with capacity 15,\nan edge from node 4 to node 16 with capacity 6,\nan edge from node 4 to node 10 with capacity 10,\nan edge from node 4 to node 7 with capacity 11,\nan edge from node 4 to node 18 with capacity 14,\nan edge from node 4 to node 13 with capacity 14,\nan edge from node 5 to node 4 with capacity 17,\nan edge from node 5 to node 9 with capacity 19,\nan edge from node 5 to node 11 with capacity 19,\nan edge from node 5 to node 7 with capacity 16,\nan edge from node 5 to node 1 with capacity 18,\nan edge from node 6 to node 16 with capacity 11,\nan edge from node 6 to node 14 with capacity 18,\nan edge from node 6 to node 5 with capacity 15,\nan edge from node 6 to node 7 with capacity 11,\nan edge from node 6 to node 18 with capacity 6,\nan edge from node 6 to node 1 with capacity 11,\nan edge from node 6 to node 2 with capacity 4,\nan edge from node 7 to node 0 with capacity 18,\nan edge from node 7 to node 14 with capacity 9,\nan edge from node 7 to node 9 with capacity 15,\nan edge from node 7 to node 3 with capacity 17,\nan edge from node 7 to node 15 with capacity 7,\nan edge from node 7 to node 19 with capacity 5,\nan edge from node 7 to node 8 with capacity 17,\nan edge from node 8 to node 14 with capacity 16,\nan edge from node 8 to node 6 with capacity 12,\nan edge from node 8 to node 15 with capacity 8,\nan edge from node 8 to node 13 with capacity 11,\nan edge from node 9 to node 16 with capacity 5,\nan edge from node 9 to node 0 with capacity 16,\nan edge from node 9 to node 4 with capacity 16,\nan edge from node 10 to node 4 with capacity 20,\nan edge from node 10 to node 9 with capacity 18,\nan edge from node 10 to node 5 with capacity 19,\nan edge from node 11 to node 7 with capacity 3,\nan edge from node 11 to node 18 with capacity 8,\nan edge from node 11 to node 8 with capacity 12,\nan edge from node 12 to node 4 with capacity 11,\nan edge from node 12 to node 11 with capacity 13,\nan edge from node 12 to node 2 with capacity 4,\nan edge from node 13 to node 0 with capacity 6,\nan edge from node 13 to node 4 with capacity 16,\nan edge from node 13 to node 10 with capacity 11,\nan edge from node 13 to node 6 with capacity 4,\nan edge from node 13 to node 3 with capacity 13,\nan edge from node 13 to node 7 with capacity 7,\nan edge from node 13 to node 17 with capacity 18,\nan edge from node 14 to node 10 with capacity 5,\nan edge from node 14 to node 5 with capacity 8,\nan edge from node 14 to node 8 with capacity 17,\nan edge from node 15 to node 14 with capacity 1,\nan edge from node 15 to node 9 with capacity 11,\nan edge from node 15 to node 7 with capacity 2,\nan edge from node 15 to node 19 with capacity 3,\nan edge from node 15 to node 17 with capacity 16,\nan edge from node 16 to node 4 with capacity 16,\nan edge from node 16 to node 10 with capacity 1,\nan edge from node 16 to node 9 with capacity 3,\nan edge from node 16 to node 5 with capacity 13,\nan edge from node 16 to node 7 with capacity 4,\nan edge from node 16 to node 13 with capacity 2,\nan edge from node 17 to node 14 with capacity 11,\nan edge from node 17 to node 10 with capacity 18,\nan edge from node 17 to node 9 with capacity 20,\nan edge from node 17 to node 11 with capacity 14,\nan edge from node 17 to node 15 with capacity 10,\nan edge from node 17 to node 13 with capacity 11,\nan edge from node 17 to node 8 with capacity 20,\nan edge from node 17 to node 2 with capacity 6,\nan edge from node 18 to node 0 with capacity 4,\nan edge from node 18 to node 11 with capacity 12,\nan edge from node 19 to node 16 with capacity 1,\nan edge from node 19 to node 0 with capacity 9,\nan edge from node 19 to node 4 with capacity 10,\nan edge from node 19 to node 9 with capacity 4,\nan edge from node 19 to node 3 with capacity 8,\nan edge from node 19 to node 7 with capacity 1,\nan edge from node 19 to node 1 with capacity 2,\nan edge from node 19 to node 13 with capacity 11,\nWhat is the maximum flow from node 6 to node 3:"
            },
            {
                "from": "gpt",
                "value": "43."
            }
        ]
    },
    {
        "id": "flow-hard-graph921",
        "image": "data/flow/graph_visual/hard/graph921.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 7 with capacity 8,\nan edge from node 0 to node 15 with capacity 14,\nan edge from node 0 to node 3 with capacity 17,\nan edge from node 0 to node 8 with capacity 15,\nan edge from node 0 to node 6 with capacity 17,\nan edge from node 0 to node 4 with capacity 19,\nan edge from node 0 to node 10 with capacity 10,\nan edge from node 1 to node 16 with capacity 1,\nan edge from node 1 to node 5 with capacity 18,\nan edge from node 1 to node 4 with capacity 2,\nan edge from node 1 to node 12 with capacity 14,\nan edge from node 1 to node 9 with capacity 15,\nan edge from node 2 to node 7 with capacity 8,\nan edge from node 2 to node 3 with capacity 19,\nan edge from node 2 to node 9 with capacity 4,\nan edge from node 3 to node 15 with capacity 19,\nan edge from node 3 to node 13 with capacity 10,\nan edge from node 3 to node 8 with capacity 9,\nan edge from node 3 to node 6 with capacity 8,\nan edge from node 3 to node 4 with capacity 7,\nan edge from node 3 to node 10 with capacity 6,\nan edge from node 3 to node 9 with capacity 4,\nan edge from node 3 to node 0 with capacity 16,\nan edge from node 4 to node 16 with capacity 17,\nan edge from node 4 to node 17 with capacity 4,\nan edge from node 4 to node 1 with capacity 9,\nan edge from node 4 to node 2 with capacity 4,\nan edge from node 4 to node 12 with capacity 19,\nan edge from node 5 to node 13 with capacity 4,\nan edge from node 5 to node 1 with capacity 18,\nan edge from node 5 to node 6 with capacity 12,\nan edge from node 5 to node 10 with capacity 15,\nan edge from node 6 to node 7 with capacity 16,\nan edge from node 6 to node 16 with capacity 10,\nan edge from node 6 to node 13 with capacity 1,\nan edge from node 6 to node 5 with capacity 14,\nan edge from node 6 to node 9 with capacity 18,\nan edge from node 7 to node 11 with capacity 20,\nan edge from node 7 to node 15 with capacity 4,\nan edge from node 7 to node 5 with capacity 8,\nan edge from node 7 to node 14 with capacity 1,\nan edge from node 7 to node 3 with capacity 7,\nan edge from node 7 to node 8 with capacity 15,\nan edge from node 7 to node 10 with capacity 11,\nan edge from node 7 to node 9 with capacity 13,\nan edge from node 8 to node 11 with capacity 4,\nan edge from node 8 to node 2 with capacity 11,\nan edge from node 8 to node 12 with capacity 13,\nan edge from node 9 to node 7 with capacity 10,\nan edge from node 9 to node 16 with capacity 5,\nan edge from node 9 to node 13 with capacity 9,\nan edge from node 9 to node 17 with capacity 11,\nan edge from node 9 to node 1 with capacity 1,\nan edge from node 9 to node 8 with capacity 5,\nan edge from node 9 to node 6 with capacity 7,\nan edge from node 10 to node 13 with capacity 8,\nan edge from node 10 to node 5 with capacity 7,\nan edge from node 10 to node 6 with capacity 1,\nan edge from node 10 to node 2 with capacity 18,\nan edge from node 10 to node 0 with capacity 13,\nan edge from node 11 to node 7 with capacity 5,\nan edge from node 11 to node 13 with capacity 11,\nan edge from node 11 to node 3 with capacity 2,\nan edge from node 11 to node 8 with capacity 2,\nan edge from node 11 to node 6 with capacity 11,\nan edge from node 11 to node 2 with capacity 8,\nan edge from node 12 to node 15 with capacity 2,\nan edge from node 12 to node 13 with capacity 17,\nan edge from node 12 to node 3 with capacity 16,\nan edge from node 12 to node 8 with capacity 3,\nan edge from node 12 to node 2 with capacity 17,\nan edge from node 12 to node 0 with capacity 6,\nan edge from node 13 to node 15 with capacity 5,\nan edge from node 13 to node 5 with capacity 5,\nan edge from node 13 to node 14 with capacity 12,\nan edge from node 13 to node 17 with capacity 18,\nan edge from node 14 to node 13 with capacity 13,\nan edge from node 14 to node 3 with capacity 11,\nan edge from node 14 to node 4 with capacity 16,\nan edge from node 14 to node 12 with capacity 9,\nan edge from node 14 to node 9 with capacity 10,\nan edge from node 15 to node 6 with capacity 8,\nan edge from node 15 to node 10 with capacity 1,\nan edge from node 15 to node 12 with capacity 10,\nan edge from node 16 to node 7 with capacity 5,\nan edge from node 16 to node 5 with capacity 4,\nan edge from node 16 to node 14 with capacity 18,\nan edge from node 16 to node 1 with capacity 5,\nan edge from node 16 to node 10 with capacity 8,\nan edge from node 16 to node 0 with capacity 18,\nan edge from node 17 to node 15 with capacity 7,\nan edge from node 17 to node 8 with capacity 18,\nan edge from node 17 to node 2 with capacity 15,\nWhat is the maximum flow from node 8 to node 11:"
            },
            {
                "from": "gpt",
                "value": "24."
            }
        ]
    },
    {
        "id": "flow-hard-graph912",
        "image": "data/flow/graph_visual/hard/graph912.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 13 with capacity 16,\nan edge from node 0 to node 4 with capacity 1,\nan edge from node 0 to node 17 with capacity 1,\nan edge from node 0 to node 11 with capacity 5,\nan edge from node 0 to node 5 with capacity 18,\nan edge from node 1 to node 12 with capacity 7,\nan edge from node 1 to node 14 with capacity 11,\nan edge from node 1 to node 8 with capacity 15,\nan edge from node 1 to node 5 with capacity 16,\nan edge from node 2 to node 9 with capacity 13,\nan edge from node 2 to node 14 with capacity 20,\nan edge from node 3 to node 12 with capacity 11,\nan edge from node 3 to node 13 with capacity 8,\nan edge from node 3 to node 14 with capacity 17,\nan edge from node 3 to node 17 with capacity 14,\nan edge from node 3 to node 11 with capacity 4,\nan edge from node 4 to node 7 with capacity 11,\nan edge from node 4 to node 16 with capacity 5,\nan edge from node 5 to node 12 with capacity 3,\nan edge from node 5 to node 9 with capacity 7,\nan edge from node 5 to node 8 with capacity 6,\nan edge from node 5 to node 1 with capacity 18,\nan edge from node 5 to node 2 with capacity 17,\nan edge from node 6 to node 13 with capacity 19,\nan edge from node 6 to node 17 with capacity 12,\nan edge from node 6 to node 15 with capacity 4,\nan edge from node 6 to node 16 with capacity 14,\nan edge from node 7 to node 3 with capacity 1,\nan edge from node 7 to node 14 with capacity 11,\nan edge from node 7 to node 17 with capacity 7,\nan edge from node 7 to node 8 with capacity 20,\nan edge from node 8 to node 15 with capacity 9,\nan edge from node 8 to node 7 with capacity 9,\nan edge from node 8 to node 16 with capacity 12,\nan edge from node 9 to node 12 with capacity 13,\nan edge from node 9 to node 3 with capacity 4,\nan edge from node 9 to node 17 with capacity 18,\nan edge from node 9 to node 8 with capacity 3,\nan edge from node 9 to node 1 with capacity 3,\nan edge from node 9 to node 2 with capacity 14,\nan edge from node 9 to node 5 with capacity 14,\nan edge from node 10 to node 6 with capacity 17,\nan edge from node 10 to node 9 with capacity 1,\nan edge from node 10 to node 17 with capacity 2,\nan edge from node 10 to node 8 with capacity 1,\nan edge from node 10 to node 2 with capacity 14,\nan edge from node 11 to node 6 with capacity 4,\nan edge from node 11 to node 9 with capacity 3,\nan edge from node 11 to node 3 with capacity 20,\nan edge from node 11 to node 13 with capacity 7,\nan edge from node 11 to node 4 with capacity 5,\nan edge from node 11 to node 14 with capacity 17,\nan edge from node 11 to node 16 with capacity 9,\nan edge from node 11 to node 5 with capacity 4,\nan edge from node 12 to node 10 with capacity 5,\nan edge from node 12 to node 17 with capacity 13,\nan edge from node 12 to node 8 with capacity 11,\nan edge from node 12 to node 15 with capacity 18,\nan edge from node 13 to node 12 with capacity 4,\nan edge from node 13 to node 0 with capacity 19,\nan edge from node 14 to node 0 with capacity 14,\nan edge from node 15 to node 6 with capacity 19,\nan edge from node 15 to node 8 with capacity 18,\nan edge from node 16 to node 17 with capacity 8,\nan edge from node 17 to node 6 with capacity 7,\nan edge from node 17 to node 12 with capacity 4,\nan edge from node 17 to node 8 with capacity 2,\nWhat is the maximum flow from node 1 to node 7:"
            },
            {
                "from": "gpt",
                "value": "15."
            }
        ]
    },
    {
        "id": "flow-hard-graph384",
        "image": "data/flow/graph_visual/hard/graph384.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 6 with capacity 10,\nan edge from node 0 to node 1 with capacity 11,\nan edge from node 0 to node 7 with capacity 5,\nan edge from node 0 to node 4 with capacity 16,\nan edge from node 1 to node 6 with capacity 17,\nan edge from node 1 to node 12 with capacity 17,\nan edge from node 1 to node 4 with capacity 10,\nan edge from node 1 to node 10 with capacity 7,\nan edge from node 1 to node 8 with capacity 9,\nan edge from node 1 to node 0 with capacity 4,\nan edge from node 2 to node 7 with capacity 14,\nan edge from node 3 to node 12 with capacity 5,\nan edge from node 3 to node 4 with capacity 14,\nan edge from node 4 to node 12 with capacity 10,\nan edge from node 4 to node 13 with capacity 6,\nan edge from node 4 to node 3 with capacity 13,\nan edge from node 5 to node 6 with capacity 18,\nan edge from node 5 to node 7 with capacity 8,\nan edge from node 5 to node 12 with capacity 13,\nan edge from node 5 to node 4 with capacity 13,\nan edge from node 5 to node 8 with capacity 19,\nan edge from node 5 to node 13 with capacity 2,\nan edge from node 5 to node 0 with capacity 14,\nan edge from node 6 to node 1 with capacity 8,\nan edge from node 8 to node 6 with capacity 9,\nan edge from node 8 to node 1 with capacity 20,\nan edge from node 8 to node 4 with capacity 17,\nan edge from node 8 to node 2 with capacity 1,\nan edge from node 8 to node 5 with capacity 14,\nan edge from node 9 to node 6 with capacity 2,\nan edge from node 9 to node 1 with capacity 18,\nan edge from node 10 to node 6 with capacity 10,\nan edge from node 10 to node 1 with capacity 11,\nan edge from node 10 to node 8 with capacity 11,\nan edge from node 10 to node 0 with capacity 6,\nan edge from node 11 to node 12 with capacity 10,\nan edge from node 11 to node 10 with capacity 11,\nan edge from node 11 to node 2 with capacity 4,\nan edge from node 12 to node 8 with capacity 12,\nan edge from node 12 to node 9 with capacity 7,\nan edge from node 12 to node 5 with capacity 3,\nan edge from node 13 to node 7 with capacity 5,\nan edge from node 13 to node 4 with capacity 4,\nan edge from node 13 to node 8 with capacity 10,\nan edge from node 13 to node 9 with capacity 11,\nan edge from node 13 to node 3 with capacity 1,\nWhat is the maximum flow from node 12 to node 2:"
            },
            {
                "from": "gpt",
                "value": "1."
            }
        ]
    },
    {
        "id": "flow-hard-graph231",
        "image": "data/flow/graph_visual/hard/graph231.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 1 with capacity 11,\nan edge from node 0 to node 10 with capacity 11,\nan edge from node 0 to node 6 with capacity 15,\nan edge from node 0 to node 9 with capacity 20,\nan edge from node 0 to node 8 with capacity 8,\nan edge from node 1 to node 2 with capacity 15,\nan edge from node 1 to node 9 with capacity 20,\nan edge from node 1 to node 3 with capacity 1,\nan edge from node 1 to node 7 with capacity 15,\nan edge from node 2 to node 4 with capacity 8,\nan edge from node 3 to node 1 with capacity 19,\nan edge from node 3 to node 0 with capacity 4,\nan edge from node 3 to node 10 with capacity 11,\nan edge from node 3 to node 9 with capacity 11,\nan edge from node 3 to node 4 with capacity 11,\nan edge from node 4 to node 1 with capacity 18,\nan edge from node 4 to node 0 with capacity 1,\nan edge from node 4 to node 6 with capacity 4,\nan edge from node 4 to node 9 with capacity 5,\nan edge from node 4 to node 3 with capacity 10,\nan edge from node 4 to node 8 with capacity 3,\nan edge from node 5 to node 11 with capacity 13,\nan edge from node 5 to node 7 with capacity 10,\nan edge from node 6 to node 1 with capacity 19,\nan edge from node 6 to node 0 with capacity 16,\nan edge from node 6 to node 10 with capacity 10,\nan edge from node 6 to node 9 with capacity 3,\nan edge from node 7 to node 0 with capacity 1,\nan edge from node 7 to node 2 with capacity 3,\nan edge from node 7 to node 10 with capacity 19,\nan edge from node 7 to node 8 with capacity 17,\nan edge from node 8 to node 11 with capacity 15,\nan edge from node 8 to node 2 with capacity 16,\nan edge from node 8 to node 9 with capacity 8,\nan edge from node 8 to node 4 with capacity 8,\nan edge from node 9 to node 1 with capacity 15,\nan edge from node 9 to node 2 with capacity 18,\nan edge from node 10 to node 11 with capacity 2,\nan edge from node 10 to node 4 with capacity 7,\nan edge from node 10 to node 5 with capacity 18,\nan edge from node 10 to node 7 with capacity 15,\nan edge from node 11 to node 1 with capacity 7,\nan edge from node 11 to node 6 with capacity 20,\nan edge from node 11 to node 3 with capacity 16,\nan edge from node 11 to node 8 with capacity 2,\nan edge from node 11 to node 5 with capacity 11,\nWhat is the maximum flow from node 11 to node 10:"
            },
            {
                "from": "gpt",
                "value": "51."
            }
        ]
    },
    {
        "id": "flow-hard-graph66",
        "image": "data/flow/graph_visual/hard/graph66.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 8 with capacity 17,\nan edge from node 0 to node 7 with capacity 13,\nan edge from node 0 to node 5 with capacity 5,\nan edge from node 1 to node 6 with capacity 19,\nan edge from node 1 to node 3 with capacity 19,\nan edge from node 2 to node 7 with capacity 8,\nan edge from node 2 to node 6 with capacity 3,\nan edge from node 2 to node 4 with capacity 9,\nan edge from node 3 to node 6 with capacity 18,\nan edge from node 3 to node 4 with capacity 17,\nan edge from node 4 to node 9 with capacity 4,\nan edge from node 5 to node 8 with capacity 16,\nan edge from node 5 to node 7 with capacity 9,\nan edge from node 5 to node 6 with capacity 19,\nan edge from node 5 to node 3 with capacity 18,\nan edge from node 6 to node 10 with capacity 18,\nan edge from node 6 to node 0 with capacity 1,\nan edge from node 7 to node 10 with capacity 17,\nan edge from node 7 to node 4 with capacity 13,\nan edge from node 9 to node 10 with capacity 5,\nan edge from node 9 to node 4 with capacity 11,\nan edge from node 10 to node 8 with capacity 14,\nWhat is the maximum flow from node 0 to node 10:"
            },
            {
                "from": "gpt",
                "value": "18."
            }
        ]
    },
    {
        "id": "flow-hard-graph818",
        "image": "data/flow/graph_visual/hard/graph818.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 8 with capacity 3,\nan edge from node 1 to node 5 with capacity 5,\nan edge from node 1 to node 7 with capacity 15,\nan edge from node 1 to node 9 with capacity 13,\nan edge from node 1 to node 6 with capacity 7,\nan edge from node 1 to node 8 with capacity 19,\nan edge from node 1 to node 3 with capacity 19,\nan edge from node 2 to node 14 with capacity 19,\nan edge from node 2 to node 10 with capacity 10,\nan edge from node 2 to node 4 with capacity 1,\nan edge from node 2 to node 13 with capacity 16,\nan edge from node 2 to node 11 with capacity 1,\nan edge from node 2 to node 3 with capacity 19,\nan edge from node 3 to node 0 with capacity 2,\nan edge from node 3 to node 4 with capacity 3,\nan edge from node 3 to node 7 with capacity 12,\nan edge from node 3 to node 13 with capacity 19,\nan edge from node 3 to node 8 with capacity 2,\nan edge from node 3 to node 16 with capacity 7,\nan edge from node 4 to node 0 with capacity 15,\nan edge from node 4 to node 7 with capacity 7,\nan edge from node 4 to node 11 with capacity 6,\nan edge from node 5 to node 13 with capacity 8,\nan edge from node 5 to node 8 with capacity 2,\nan edge from node 6 to node 12 with capacity 2,\nan edge from node 6 to node 11 with capacity 2,\nan edge from node 6 to node 3 with capacity 5,\nan edge from node 7 to node 14 with capacity 3,\nan edge from node 7 to node 15 with capacity 19,\nan edge from node 7 to node 4 with capacity 11,\nan edge from node 7 to node 9 with capacity 2,\nan edge from node 7 to node 6 with capacity 5,\nan edge from node 7 to node 16 with capacity 7,\nan edge from node 8 to node 0 with capacity 12,\nan edge from node 8 to node 4 with capacity 13,\nan edge from node 8 to node 5 with capacity 1,\nan edge from node 8 to node 12 with capacity 2,\nan edge from node 9 to node 14 with capacity 2,\nan edge from node 9 to node 4 with capacity 16,\nan edge from node 9 to node 6 with capacity 11,\nan edge from node 9 to node 1 with capacity 1,\nan edge from node 10 to node 15 with capacity 20,\nan edge from node 10 to node 4 with capacity 13,\nan edge from node 10 to node 9 with capacity 12,\nan edge from node 10 to node 16 with capacity 15,\nan edge from node 11 to node 10 with capacity 20,\nan edge from node 11 to node 0 with capacity 4,\nan edge from node 11 to node 7 with capacity 20,\nan edge from node 11 to node 2 with capacity 18,\nan edge from node 11 to node 3 with capacity 1,\nan edge from node 12 to node 10 with capacity 17,\nan edge from node 12 to node 7 with capacity 3,\nan edge from node 12 to node 3 with capacity 2,\nan edge from node 13 to node 14 with capacity 3,\nan edge from node 13 to node 4 with capacity 2,\nan edge from node 13 to node 7 with capacity 15,\nan edge from node 13 to node 9 with capacity 19,\nan edge from node 13 to node 8 with capacity 14,\nan edge from node 14 to node 10 with capacity 5,\nan edge from node 14 to node 6 with capacity 2,\nan edge from node 14 to node 13 with capacity 17,\nan edge from node 15 to node 7 with capacity 3,\nan edge from node 15 to node 13 with capacity 17,\nan edge from node 15 to node 1 with capacity 18,\nan edge from node 15 to node 2 with capacity 11,\nan edge from node 16 to node 10 with capacity 4,\nan edge from node 16 to node 13 with capacity 6,\nan edge from node 16 to node 2 with capacity 12,\nWhat is the maximum flow from node 11 to node 12:"
            },
            {
                "from": "gpt",
                "value": "4."
            }
        ]
    },
    {
        "id": "flow-hard-graph1090",
        "image": "data/flow/graph_visual/hard/graph1090.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 10 with capacity 10,\nan edge from node 0 to node 5 with capacity 14,\nan edge from node 0 to node 14 with capacity 3,\nan edge from node 0 to node 2 with capacity 20,\nan edge from node 0 to node 15 with capacity 16,\nan edge from node 0 to node 7 with capacity 6,\nan edge from node 0 to node 1 with capacity 9,\nan edge from node 1 to node 6 with capacity 10,\nan edge from node 1 to node 13 with capacity 3,\nan edge from node 1 to node 18 with capacity 12,\nan edge from node 1 to node 5 with capacity 9,\nan edge from node 1 to node 11 with capacity 11,\nan edge from node 1 to node 3 with capacity 17,\nan edge from node 1 to node 14 with capacity 9,\nan edge from node 2 to node 10 with capacity 20,\nan edge from node 2 to node 11 with capacity 14,\nan edge from node 2 to node 15 with capacity 8,\nan edge from node 2 to node 7 with capacity 8,\nan edge from node 3 to node 13 with capacity 18,\nan edge from node 3 to node 8 with capacity 11,\nan edge from node 3 to node 4 with capacity 3,\nan edge from node 3 to node 17 with capacity 6,\nan edge from node 3 to node 16 with capacity 3,\nan edge from node 4 to node 10 with capacity 4,\nan edge from node 4 to node 9 with capacity 5,\nan edge from node 4 to node 5 with capacity 10,\nan edge from node 4 to node 2 with capacity 18,\nan edge from node 4 to node 7 with capacity 6,\nan edge from node 4 to node 12 with capacity 6,\nan edge from node 5 to node 10 with capacity 4,\nan edge from node 5 to node 13 with capacity 2,\nan edge from node 5 to node 8 with capacity 1,\nan edge from node 5 to node 1 with capacity 18,\nan edge from node 6 to node 13 with capacity 7,\nan edge from node 6 to node 18 with capacity 16,\nan edge from node 6 to node 11 with capacity 1,\nan edge from node 6 to node 15 with capacity 6,\nan edge from node 6 to node 19 with capacity 12,\nan edge from node 7 to node 8 with capacity 12,\nan edge from node 7 to node 11 with capacity 19,\nan edge from node 7 to node 2 with capacity 10,\nan edge from node 7 to node 12 with capacity 4,\nan edge from node 8 to node 18 with capacity 19,\nan edge from node 8 to node 3 with capacity 13,\nan edge from node 8 to node 7 with capacity 5,\nan edge from node 9 to node 10 with capacity 2,\nan edge from node 9 to node 18 with capacity 2,\nan edge from node 9 to node 4 with capacity 4,\nan edge from node 9 to node 16 with capacity 2,\nan edge from node 9 to node 1 with capacity 11,\nan edge from node 10 to node 5 with capacity 5,\nan edge from node 11 to node 10 with capacity 17,\nan edge from node 11 to node 13 with capacity 1,\nan edge from node 11 to node 8 with capacity 17,\nan edge from node 11 to node 3 with capacity 11,\nan edge from node 11 to node 2 with capacity 18,\nan edge from node 12 to node 6 with capacity 7,\nan edge from node 12 to node 2 with capacity 8,\nan edge from node 12 to node 17 with capacity 3,\nan edge from node 12 to node 7 with capacity 3,\nan edge from node 13 to node 10 with capacity 6,\nan edge from node 13 to node 3 with capacity 2,\nan edge from node 13 to node 7 with capacity 12,\nan edge from node 14 to node 13 with capacity 9,\nan edge from node 14 to node 18 with capacity 10,\nan edge from node 14 to node 5 with capacity 16,\nan edge from node 14 to node 3 with capacity 20,\nan edge from node 14 to node 19 with capacity 17,\nan edge from node 15 to node 18 with capacity 19,\nan edge from node 15 to node 5 with capacity 19,\nan edge from node 15 to node 3 with capacity 17,\nan edge from node 15 to node 14 with capacity 5,\nan edge from node 15 to node 17 with capacity 15,\nan edge from node 16 to node 10 with capacity 18,\nan edge from node 16 to node 1 with capacity 20,\nan edge from node 17 to node 9 with capacity 13,\nan edge from node 17 to node 18 with capacity 14,\nan edge from node 17 to node 5 with capacity 11,\nan edge from node 17 to node 11 with capacity 15,\nan edge from node 17 to node 19 with capacity 6,\nan edge from node 17 to node 16 with capacity 1,\nan edge from node 17 to node 0 with capacity 10,\nan edge from node 18 to node 10 with capacity 14,\nan edge from node 18 to node 13 with capacity 17,\nan edge from node 18 to node 5 with capacity 4,\nan edge from node 18 to node 3 with capacity 4,\nan edge from node 18 to node 1 with capacity 13,\nan edge from node 19 to node 10 with capacity 3,\nan edge from node 19 to node 4 with capacity 11,\nan edge from node 19 to node 3 with capacity 8,\nan edge from node 19 to node 15 with capacity 1,\nan edge from node 19 to node 1 with capacity 14,\nWhat is the maximum flow from node 10 to node 3:"
            },
            {
                "from": "gpt",
                "value": "5."
            }
        ]
    },
    {
        "id": "flow-hard-graph174",
        "image": "data/flow/graph_visual/hard/graph174.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 5 with capacity 19,\nan edge from node 1 to node 7 with capacity 18,\nan edge from node 1 to node 5 with capacity 6,\nan edge from node 2 to node 11 with capacity 19,\nan edge from node 2 to node 4 with capacity 8,\nan edge from node 2 to node 8 with capacity 3,\nan edge from node 2 to node 10 with capacity 6,\nan edge from node 2 to node 9 with capacity 5,\nan edge from node 3 to node 7 with capacity 5,\nan edge from node 3 to node 1 with capacity 20,\nan edge from node 4 to node 11 with capacity 1,\nan edge from node 4 to node 6 with capacity 18,\nan edge from node 4 to node 2 with capacity 6,\nan edge from node 4 to node 3 with capacity 14,\nan edge from node 5 to node 11 with capacity 10,\nan edge from node 5 to node 6 with capacity 9,\nan edge from node 5 to node 8 with capacity 13,\nan edge from node 5 to node 9 with capacity 17,\nan edge from node 5 to node 0 with capacity 20,\nan edge from node 6 to node 7 with capacity 10,\nan edge from node 6 to node 11 with capacity 6,\nan edge from node 6 to node 8 with capacity 15,\nan edge from node 6 to node 10 with capacity 10,\nan edge from node 7 to node 2 with capacity 7,\nan edge from node 7 to node 5 with capacity 13,\nan edge from node 7 to node 3 with capacity 4,\nan edge from node 8 to node 7 with capacity 18,\nan edge from node 8 to node 4 with capacity 12,\nan edge from node 8 to node 1 with capacity 5,\nan edge from node 9 to node 11 with capacity 13,\nan edge from node 9 to node 6 with capacity 7,\nan edge from node 9 to node 4 with capacity 14,\nan edge from node 9 to node 2 with capacity 12,\nan edge from node 9 to node 8 with capacity 6,\nan edge from node 9 to node 3 with capacity 8,\nan edge from node 9 to node 0 with capacity 13,\nan edge from node 9 to node 1 with capacity 3,\nan edge from node 10 to node 4 with capacity 7,\nan edge from node 10 to node 3 with capacity 18,\nan edge from node 10 to node 0 with capacity 5,\nan edge from node 11 to node 7 with capacity 15,\nan edge from node 11 to node 8 with capacity 10,\nan edge from node 11 to node 3 with capacity 6,\nWhat is the maximum flow from node 11 to node 0:"
            },
            {
                "from": "gpt",
                "value": "29."
            }
        ]
    },
    {
        "id": "flow-hard-graph970",
        "image": "data/flow/graph_visual/hard/graph970.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 5 with capacity 16,\nan edge from node 0 to node 7 with capacity 18,\nan edge from node 0 to node 11 with capacity 7,\nan edge from node 0 to node 1 with capacity 19,\nan edge from node 0 to node 10 with capacity 19,\nan edge from node 0 to node 8 with capacity 5,\nan edge from node 0 to node 18 with capacity 8,\nan edge from node 1 to node 4 with capacity 7,\nan edge from node 1 to node 7 with capacity 4,\nan edge from node 1 to node 17 with capacity 15,\nan edge from node 1 to node 12 with capacity 14,\nan edge from node 1 to node 14 with capacity 7,\nan edge from node 1 to node 18 with capacity 11,\nan edge from node 2 to node 4 with capacity 4,\nan edge from node 2 to node 9 with capacity 3,\nan edge from node 2 to node 3 with capacity 5,\nan edge from node 3 to node 1 with capacity 18,\nan edge from node 3 to node 6 with capacity 15,\nan edge from node 3 to node 0 with capacity 11,\nan edge from node 4 to node 5 with capacity 9,\nan edge from node 4 to node 1 with capacity 16,\nan edge from node 4 to node 9 with capacity 3,\nan edge from node 4 to node 2 with capacity 17,\nan edge from node 4 to node 8 with capacity 10,\nan edge from node 4 to node 3 with capacity 1,\nan edge from node 5 to node 7 with capacity 4,\nan edge from node 5 to node 17 with capacity 9,\nan edge from node 5 to node 12 with capacity 2,\nan edge from node 5 to node 2 with capacity 5,\nan edge from node 5 to node 6 with capacity 13,\nan edge from node 5 to node 15 with capacity 10,\nan edge from node 5 to node 18 with capacity 14,\nan edge from node 5 to node 16 with capacity 16,\nan edge from node 6 to node 4 with capacity 5,\nan edge from node 6 to node 7 with capacity 10,\nan edge from node 6 to node 11 with capacity 18,\nan edge from node 6 to node 8 with capacity 9,\nan edge from node 6 to node 0 with capacity 13,\nan edge from node 6 to node 18 with capacity 8,\nan edge from node 6 to node 3 with capacity 2,\nan edge from node 7 to node 5 with capacity 6,\nan edge from node 7 to node 17 with capacity 6,\nan edge from node 7 to node 12 with capacity 18,\nan edge from node 7 to node 9 with capacity 11,\nan edge from node 7 to node 13 with capacity 15,\nan edge from node 7 to node 14 with capacity 13,\nan edge from node 7 to node 15 with capacity 18,\nan edge from node 7 to node 3 with capacity 19,\nan edge from node 8 to node 4 with capacity 17,\nan edge from node 8 to node 12 with capacity 14,\nan edge from node 8 to node 11 with capacity 19,\nan edge from node 8 to node 1 with capacity 15,\nan edge from node 8 to node 2 with capacity 11,\nan edge from node 8 to node 15 with capacity 7,\nan edge from node 8 to node 0 with capacity 17,\nan edge from node 9 to node 14 with capacity 2,\nan edge from node 9 to node 15 with capacity 4,\nan edge from node 9 to node 16 with capacity 10,\nan edge from node 9 to node 3 with capacity 2,\nan edge from node 10 to node 7 with capacity 20,\nan edge from node 10 to node 17 with capacity 17,\nan edge from node 10 to node 12 with capacity 11,\nan edge from node 10 to node 8 with capacity 1,\nan edge from node 10 to node 6 with capacity 8,\nan edge from node 10 to node 3 with capacity 2,\nan edge from node 11 to node 8 with capacity 19,\nan edge from node 11 to node 15 with capacity 2,\nan edge from node 12 to node 13 with capacity 9,\nan edge from node 12 to node 15 with capacity 8,\nan edge from node 12 to node 0 with capacity 16,\nan edge from node 13 to node 4 with capacity 3,\nan edge from node 13 to node 5 with capacity 20,\nan edge from node 13 to node 11 with capacity 10,\nan edge from node 13 to node 2 with capacity 14,\nan edge from node 13 to node 8 with capacity 20,\nan edge from node 13 to node 6 with capacity 16,\nan edge from node 13 to node 0 with capacity 10,\nan edge from node 13 to node 16 with capacity 16,\nan edge from node 14 to node 10 with capacity 8,\nan edge from node 14 to node 15 with capacity 3,\nan edge from node 14 to node 18 with capacity 6,\nan edge from node 15 to node 4 with capacity 6,\nan edge from node 15 to node 12 with capacity 3,\nan edge from node 15 to node 11 with capacity 9,\nan edge from node 15 to node 9 with capacity 18,\nan edge from node 15 to node 13 with capacity 20,\nan edge from node 16 to node 7 with capacity 5,\nan edge from node 16 to node 8 with capacity 6,\nan edge from node 16 to node 6 with capacity 8,\nan edge from node 16 to node 15 with capacity 16,\nan edge from node 16 to node 3 with capacity 19,\nan edge from node 17 to node 7 with capacity 13,\nan edge from node 17 to node 12 with capacity 9,\nan edge from node 17 to node 8 with capacity 11,\nan edge from node 17 to node 6 with capacity 15,\nan edge from node 17 to node 0 with capacity 5,\nan edge from node 18 to node 4 with capacity 14,\nan edge from node 18 to node 13 with capacity 20,\nan edge from node 18 to node 15 with capacity 14,\nWhat is the maximum flow from node 9 to node 7:"
            },
            {
                "from": "gpt",
                "value": "18."
            }
        ]
    },
    {
        "id": "flow-hard-graph235",
        "image": "data/flow/graph_visual/hard/graph235.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 4 with capacity 6,\nan edge from node 1 to node 5 with capacity 13,\nan edge from node 1 to node 2 with capacity 1,\nan edge from node 1 to node 11 with capacity 14,\nan edge from node 2 to node 5 with capacity 15,\nan edge from node 3 to node 10 with capacity 17,\nan edge from node 3 to node 7 with capacity 6,\nan edge from node 3 to node 8 with capacity 2,\nan edge from node 5 to node 10 with capacity 20,\nan edge from node 6 to node 3 with capacity 16,\nan edge from node 6 to node 11 with capacity 8,\nan edge from node 6 to node 9 with capacity 12,\nan edge from node 7 to node 4 with capacity 1,\nan edge from node 7 to node 6 with capacity 5,\nan edge from node 8 to node 4 with capacity 10,\nan edge from node 8 to node 5 with capacity 7,\nan edge from node 9 to node 3 with capacity 18,\nan edge from node 9 to node 4 with capacity 17,\nan edge from node 9 to node 1 with capacity 17,\nan edge from node 9 to node 2 with capacity 20,\nan edge from node 10 to node 3 with capacity 19,\nan edge from node 10 to node 5 with capacity 18,\nan edge from node 10 to node 11 with capacity 9,\nan edge from node 10 to node 6 with capacity 20,\nan edge from node 10 to node 8 with capacity 1,\nan edge from node 11 to node 1 with capacity 19,\nan edge from node 11 to node 2 with capacity 16,\nan edge from node 11 to node 7 with capacity 12,\nan edge from node 11 to node 9 with capacity 10,\nWhat is the maximum flow from node 9 to node 8:"
            },
            {
                "from": "gpt",
                "value": "3."
            }
        ]
    },
    {
        "id": "flow-hard-graph873",
        "image": "data/flow/graph_visual/hard/graph873.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 16 with capacity 2,\nan edge from node 0 to node 3 with capacity 20,\nan edge from node 0 to node 7 with capacity 5,\nan edge from node 1 to node 4 with capacity 10,\nan edge from node 1 to node 17 with capacity 8,\nan edge from node 1 to node 2 with capacity 11,\nan edge from node 1 to node 7 with capacity 14,\nan edge from node 1 to node 5 with capacity 8,\nan edge from node 2 to node 15 with capacity 8,\nan edge from node 2 to node 4 with capacity 14,\nan edge from node 2 to node 9 with capacity 11,\nan edge from node 2 to node 17 with capacity 1,\nan edge from node 2 to node 11 with capacity 12,\nan edge from node 2 to node 5 with capacity 1,\nan edge from node 3 to node 1 with capacity 7,\nan edge from node 3 to node 11 with capacity 20,\nan edge from node 4 to node 15 with capacity 11,\nan edge from node 4 to node 12 with capacity 8,\nan edge from node 4 to node 6 with capacity 7,\nan edge from node 4 to node 8 with capacity 11,\nan edge from node 4 to node 16 with capacity 17,\nan edge from node 4 to node 13 with capacity 2,\nan edge from node 5 to node 0 with capacity 10,\nan edge from node 5 to node 12 with capacity 20,\nan edge from node 5 to node 11 with capacity 10,\nan edge from node 5 to node 3 with capacity 12,\nan edge from node 5 to node 14 with capacity 19,\nan edge from node 6 to node 0 with capacity 1,\nan edge from node 6 to node 17 with capacity 4,\nan edge from node 6 to node 3 with capacity 7,\nan edge from node 6 to node 10 with capacity 10,\nan edge from node 6 to node 5 with capacity 18,\nan edge from node 7 to node 11 with capacity 10,\nan edge from node 7 to node 5 with capacity 15,\nan edge from node 8 to node 1 with capacity 10,\nan edge from node 8 to node 9 with capacity 8,\nan edge from node 8 to node 17 with capacity 5,\nan edge from node 8 to node 3 with capacity 14,\nan edge from node 9 to node 0 with capacity 18,\nan edge from node 9 to node 12 with capacity 17,\nan edge from node 9 to node 2 with capacity 15,\nan edge from node 10 to node 0 with capacity 17,\nan edge from node 10 to node 12 with capacity 8,\nan edge from node 10 to node 2 with capacity 7,\nan edge from node 10 to node 13 with capacity 1,\nan edge from node 10 to node 3 with capacity 16,\nan edge from node 10 to node 7 with capacity 10,\nan edge from node 10 to node 5 with capacity 19,\nan edge from node 11 to node 4 with capacity 11,\nan edge from node 11 to node 16 with capacity 1,\nan edge from node 11 to node 3 with capacity 16,\nan edge from node 11 to node 7 with capacity 12,\nan edge from node 11 to node 10 with capacity 7,\nan edge from node 11 to node 5 with capacity 13,\nan edge from node 12 to node 6 with capacity 4,\nan edge from node 12 to node 9 with capacity 13,\nan edge from node 12 to node 5 with capacity 2,\nan edge from node 13 to node 0 with capacity 4,\nan edge from node 13 to node 6 with capacity 8,\nan edge from node 13 to node 9 with capacity 6,\nan edge from node 13 to node 17 with capacity 16,\nan edge from node 13 to node 2 with capacity 16,\nan edge from node 13 to node 5 with capacity 8,\nan edge from node 14 to node 15 with capacity 1,\nan edge from node 14 to node 8 with capacity 15,\nan edge from node 14 to node 2 with capacity 2,\nan edge from node 14 to node 13 with capacity 5,\nan edge from node 14 to node 7 with capacity 10,\nan edge from node 15 to node 9 with capacity 10,\nan edge from node 15 to node 8 with capacity 19,\nan edge from node 15 to node 11 with capacity 4,\nan edge from node 16 to node 0 with capacity 1,\nan edge from node 16 to node 9 with capacity 10,\nan edge from node 16 to node 3 with capacity 16,\nan edge from node 16 to node 10 with capacity 2,\nan edge from node 16 to node 14 with capacity 16,\nan edge from node 17 to node 1 with capacity 14,\nan edge from node 17 to node 12 with capacity 18,\nan edge from node 17 to node 6 with capacity 6,\nan edge from node 17 to node 11 with capacity 8,\nan edge from node 17 to node 3 with capacity 7,\nan edge from node 17 to node 7 with capacity 16,\nan edge from node 17 to node 5 with capacity 12,\nWhat is the maximum flow from node 9 to node 10:"
            },
            {
                "from": "gpt",
                "value": "19."
            }
        ]
    },
    {
        "id": "flow-hard-graph35",
        "image": "data/flow/graph_visual/hard/graph35.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 9 with capacity 17,\nan edge from node 0 to node 2 with capacity 2,\nan edge from node 1 to node 8 with capacity 20,\nan edge from node 1 to node 3 with capacity 12,\nan edge from node 2 to node 10 with capacity 2,\nan edge from node 2 to node 7 with capacity 10,\nan edge from node 2 to node 5 with capacity 10,\nan edge from node 3 to node 5 with capacity 18,\nan edge from node 3 to node 6 with capacity 6,\nan edge from node 3 to node 2 with capacity 15,\nan edge from node 4 to node 10 with capacity 4,\nan edge from node 4 to node 9 with capacity 12,\nan edge from node 4 to node 5 with capacity 8,\nan edge from node 4 to node 0 with capacity 6,\nan edge from node 5 to node 7 with capacity 6,\nan edge from node 5 to node 4 with capacity 13,\nan edge from node 5 to node 3 with capacity 10,\nan edge from node 6 to node 10 with capacity 11,\nan edge from node 6 to node 9 with capacity 13,\nan edge from node 6 to node 5 with capacity 5,\nan edge from node 6 to node 2 with capacity 11,\nan edge from node 8 to node 5 with capacity 6,\nan edge from node 8 to node 3 with capacity 14,\nan edge from node 8 to node 2 with capacity 9,\nan edge from node 9 to node 1 with capacity 8,\nan edge from node 9 to node 8 with capacity 14,\nan edge from node 9 to node 0 with capacity 19,\nWhat is the maximum flow from node 3 to node 10:"
            },
            {
                "from": "gpt",
                "value": "12."
            }
        ]
    },
    {
        "id": "flow-hard-graph470",
        "image": "data/flow/graph_visual/hard/graph470.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 3 with capacity 2,\nan edge from node 0 to node 13 with capacity 11,\nan edge from node 0 to node 12 with capacity 10,\nan edge from node 0 to node 1 with capacity 6,\nan edge from node 0 to node 10 with capacity 15,\nan edge from node 1 to node 11 with capacity 19,\nan edge from node 1 to node 2 with capacity 3,\nan edge from node 1 to node 9 with capacity 10,\nan edge from node 1 to node 5 with capacity 12,\nan edge from node 1 to node 13 with capacity 10,\nan edge from node 1 to node 12 with capacity 2,\nan edge from node 1 to node 7 with capacity 18,\nan edge from node 2 to node 11 with capacity 4,\nan edge from node 2 to node 8 with capacity 4,\nan edge from node 3 to node 11 with capacity 2,\nan edge from node 3 to node 4 with capacity 6,\nan edge from node 3 to node 2 with capacity 11,\nan edge from node 3 to node 13 with capacity 10,\nan edge from node 4 to node 6 with capacity 11,\nan edge from node 4 to node 12 with capacity 4,\nan edge from node 4 to node 0 with capacity 10,\nan edge from node 5 to node 2 with capacity 15,\nan edge from node 5 to node 1 with capacity 8,\nan edge from node 6 to node 11 with capacity 1,\nan edge from node 6 to node 4 with capacity 13,\nan edge from node 6 to node 8 with capacity 15,\nan edge from node 6 to node 12 with capacity 10,\nan edge from node 7 to node 4 with capacity 15,\nan edge from node 7 to node 2 with capacity 20,\nan edge from node 7 to node 9 with capacity 9,\nan edge from node 7 to node 3 with capacity 6,\nan edge from node 7 to node 10 with capacity 12,\nan edge from node 8 to node 9 with capacity 15,\nan edge from node 8 to node 6 with capacity 19,\nan edge from node 9 to node 11 with capacity 2,\nan edge from node 9 to node 4 with capacity 5,\nan edge from node 9 to node 2 with capacity 14,\nan edge from node 9 to node 6 with capacity 17,\nan edge from node 9 to node 12 with capacity 17,\nan edge from node 9 to node 7 with capacity 16,\nan edge from node 9 to node 1 with capacity 4,\nan edge from node 10 to node 11 with capacity 16,\nan edge from node 10 to node 5 with capacity 20,\nan edge from node 10 to node 13 with capacity 7,\nan edge from node 11 to node 2 with capacity 13,\nan edge from node 11 to node 8 with capacity 8,\nan edge from node 11 to node 12 with capacity 5,\nan edge from node 11 to node 7 with capacity 14,\nan edge from node 12 to node 9 with capacity 6,\nan edge from node 12 to node 13 with capacity 20,\nan edge from node 12 to node 0 with capacity 5,\nan edge from node 12 to node 10 with capacity 2,\nan edge from node 13 to node 6 with capacity 8,\nan edge from node 13 to node 3 with capacity 12,\nWhat is the maximum flow from node 13 to node 3:"
            },
            {
                "from": "gpt",
                "value": "20."
            }
        ]
    },
    {
        "id": "flow-hard-graph490",
        "image": "data/flow/graph_visual/hard/graph490.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 4 with capacity 11,\nan edge from node 0 to node 2 with capacity 18,\nan edge from node 0 to node 3 with capacity 13,\nan edge from node 0 to node 11 with capacity 14,\nan edge from node 0 to node 13 with capacity 2,\nan edge from node 1 to node 4 with capacity 6,\nan edge from node 1 to node 2 with capacity 7,\nan edge from node 1 to node 6 with capacity 15,\nan edge from node 1 to node 14 with capacity 2,\nan edge from node 2 to node 5 with capacity 18,\nan edge from node 2 to node 8 with capacity 10,\nan edge from node 2 to node 13 with capacity 14,\nan edge from node 3 to node 12 with capacity 10,\nan edge from node 3 to node 1 with capacity 18,\nan edge from node 3 to node 6 with capacity 12,\nan edge from node 3 to node 13 with capacity 13,\nan edge from node 4 to node 2 with capacity 14,\nan edge from node 4 to node 8 with capacity 7,\nan edge from node 4 to node 0 with capacity 1,\nan edge from node 4 to node 6 with capacity 7,\nan edge from node 4 to node 13 with capacity 13,\nan edge from node 5 to node 0 with capacity 1,\nan edge from node 5 to node 10 with capacity 18,\nan edge from node 6 to node 3 with capacity 18,\nan edge from node 6 to node 11 with capacity 10,\nan edge from node 7 to node 2 with capacity 4,\nan edge from node 7 to node 9 with capacity 9,\nan edge from node 7 to node 1 with capacity 13,\nan edge from node 7 to node 13 with capacity 19,\nan edge from node 8 to node 2 with capacity 2,\nan edge from node 8 to node 0 with capacity 14,\nan edge from node 8 to node 9 with capacity 15,\nan edge from node 8 to node 10 with capacity 5,\nan edge from node 8 to node 13 with capacity 6,\nan edge from node 9 to node 2 with capacity 4,\nan edge from node 9 to node 5 with capacity 18,\nan edge from node 9 to node 14 with capacity 14,\nan edge from node 10 to node 8 with capacity 18,\nan edge from node 10 to node 0 with capacity 12,\nan edge from node 10 to node 6 with capacity 7,\nan edge from node 11 to node 5 with capacity 16,\nan edge from node 11 to node 1 with capacity 19,\nan edge from node 12 to node 5 with capacity 7,\nan edge from node 12 to node 8 with capacity 11,\nan edge from node 12 to node 1 with capacity 13,\nan edge from node 13 to node 5 with capacity 13,\nan edge from node 14 to node 3 with capacity 20,\nan edge from node 14 to node 9 with capacity 16,\nWhat is the maximum flow from node 0 to node 12:"
            },
            {
                "from": "gpt",
                "value": "10."
            }
        ]
    },
    {
        "id": "flow-hard-graph171",
        "image": "data/flow/graph_visual/hard/graph171.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 1 with capacity 20,\nan edge from node 0 to node 5 with capacity 18,\nan edge from node 0 to node 2 with capacity 10,\nan edge from node 0 to node 7 with capacity 5,\nan edge from node 1 to node 5 with capacity 8,\nan edge from node 1 to node 11 with capacity 7,\nan edge from node 2 to node 4 with capacity 14,\nan edge from node 2 to node 0 with capacity 3,\nan edge from node 2 to node 1 with capacity 1,\nan edge from node 2 to node 6 with capacity 8,\nan edge from node 4 to node 8 with capacity 10,\nan edge from node 4 to node 7 with capacity 4,\nan edge from node 4 to node 3 with capacity 4,\nan edge from node 5 to node 1 with capacity 3,\nan edge from node 6 to node 0 with capacity 4,\nan edge from node 7 to node 8 with capacity 9,\nan edge from node 7 to node 2 with capacity 4,\nan edge from node 8 to node 1 with capacity 12,\nan edge from node 9 to node 8 with capacity 9,\nan edge from node 9 to node 2 with capacity 16,\nan edge from node 9 to node 10 with capacity 9,\nan edge from node 9 to node 6 with capacity 12,\nan edge from node 10 to node 4 with capacity 11,\nan edge from node 10 to node 0 with capacity 1,\nan edge from node 10 to node 5 with capacity 16,\nan edge from node 10 to node 11 with capacity 18,\nan edge from node 11 to node 2 with capacity 15,\nWhat is the maximum flow from node 9 to node 3:"
            },
            {
                "from": "gpt",
                "value": "4."
            }
        ]
    },
    {
        "id": "flow-hard-graph403",
        "image": "data/flow/graph_visual/hard/graph403.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 3 with capacity 3,\nan edge from node 0 to node 10 with capacity 3,\nan edge from node 1 to node 9 with capacity 18,\nan edge from node 1 to node 0 with capacity 3,\nan edge from node 1 to node 8 with capacity 8,\nan edge from node 1 to node 13 with capacity 6,\nan edge from node 1 to node 12 with capacity 13,\nan edge from node 2 to node 3 with capacity 10,\nan edge from node 2 to node 11 with capacity 18,\nan edge from node 2 to node 0 with capacity 6,\nan edge from node 2 to node 5 with capacity 16,\nan edge from node 2 to node 12 with capacity 9,\nan edge from node 2 to node 7 with capacity 15,\nan edge from node 2 to node 1 with capacity 1,\nan edge from node 3 to node 4 with capacity 17,\nan edge from node 4 to node 3 with capacity 16,\nan edge from node 4 to node 13 with capacity 5,\nan edge from node 4 to node 7 with capacity 19,\nan edge from node 5 to node 3 with capacity 13,\nan edge from node 5 to node 8 with capacity 16,\nan edge from node 5 to node 13 with capacity 18,\nan edge from node 5 to node 2 with capacity 1,\nan edge from node 6 to node 8 with capacity 1,\nan edge from node 6 to node 13 with capacity 9,\nan edge from node 6 to node 12 with capacity 3,\nan edge from node 6 to node 10 with capacity 16,\nan edge from node 7 to node 1 with capacity 16,\nan edge from node 8 to node 3 with capacity 7,\nan edge from node 8 to node 5 with capacity 15,\nan edge from node 8 to node 6 with capacity 2,\nan edge from node 9 to node 0 with capacity 9,\nan edge from node 9 to node 6 with capacity 14,\nan edge from node 9 to node 12 with capacity 18,\nan edge from node 10 to node 1 with capacity 10,\nan edge from node 10 to node 2 with capacity 4,\nan edge from node 11 to node 0 with capacity 12,\nan edge from node 11 to node 5 with capacity 8,\nan edge from node 11 to node 6 with capacity 8,\nan edge from node 11 to node 13 with capacity 12,\nan edge from node 11 to node 1 with capacity 19,\nan edge from node 12 to node 13 with capacity 10,\nan edge from node 12 to node 10 with capacity 15,\nan edge from node 12 to node 1 with capacity 16,\nan edge from node 12 to node 4 with capacity 13,\nan edge from node 13 to node 3 with capacity 16,\nan edge from node 13 to node 0 with capacity 3,\nan edge from node 13 to node 5 with capacity 17,\nan edge from node 13 to node 8 with capacity 17,\nan edge from node 13 to node 2 with capacity 18,\nWhat is the maximum flow from node 12 to node 11:"
            },
            {
                "from": "gpt",
                "value": "18."
            }
        ]
    },
    {
        "id": "flow-hard-graph865",
        "image": "data/flow/graph_visual/hard/graph865.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 9 with capacity 13,\nan edge from node 0 to node 16 with capacity 3,\nan edge from node 0 to node 1 with capacity 8,\nan edge from node 0 to node 12 with capacity 13,\nan edge from node 0 to node 11 with capacity 2,\nan edge from node 0 to node 14 with capacity 8,\nan edge from node 1 to node 5 with capacity 14,\nan edge from node 1 to node 11 with capacity 1,\nan edge from node 1 to node 15 with capacity 15,\nan edge from node 1 to node 7 with capacity 9,\nan edge from node 2 to node 17 with capacity 19,\nan edge from node 2 to node 5 with capacity 7,\nan edge from node 2 to node 0 with capacity 5,\nan edge from node 3 to node 17 with capacity 14,\nan edge from node 3 to node 11 with capacity 5,\nan edge from node 4 to node 9 with capacity 4,\nan edge from node 4 to node 8 with capacity 13,\nan edge from node 4 to node 12 with capacity 17,\nan edge from node 4 to node 15 with capacity 16,\nan edge from node 4 to node 13 with capacity 3,\nan edge from node 4 to node 14 with capacity 14,\nan edge from node 5 to node 13 with capacity 3,\nan edge from node 6 to node 9 with capacity 18,\nan edge from node 6 to node 10 with capacity 19,\nan edge from node 6 to node 1 with capacity 11,\nan edge from node 6 to node 15 with capacity 10,\nan edge from node 6 to node 4 with capacity 9,\nan edge from node 6 to node 3 with capacity 5,\nan edge from node 6 to node 13 with capacity 12,\nan edge from node 7 to node 16 with capacity 6,\nan edge from node 7 to node 1 with capacity 20,\nan edge from node 7 to node 0 with capacity 10,\nan edge from node 7 to node 13 with capacity 2,\nan edge from node 8 to node 10 with capacity 11,\nan edge from node 8 to node 16 with capacity 7,\nan edge from node 8 to node 17 with capacity 1,\nan edge from node 8 to node 12 with capacity 4,\nan edge from node 8 to node 0 with capacity 12,\nan edge from node 8 to node 13 with capacity 7,\nan edge from node 9 to node 17 with capacity 1,\nan edge from node 9 to node 1 with capacity 6,\nan edge from node 9 to node 12 with capacity 11,\nan edge from node 10 to node 2 with capacity 9,\nan edge from node 10 to node 9 with capacity 19,\nan edge from node 10 to node 8 with capacity 13,\nan edge from node 10 to node 1 with capacity 10,\nan edge from node 11 to node 2 with capacity 1,\nan edge from node 11 to node 9 with capacity 7,\nan edge from node 11 to node 8 with capacity 18,\nan edge from node 11 to node 17 with capacity 6,\nan edge from node 11 to node 7 with capacity 8,\nan edge from node 11 to node 6 with capacity 19,\nan edge from node 12 to node 5 with capacity 20,\nan edge from node 12 to node 1 with capacity 19,\nan edge from node 12 to node 0 with capacity 1,\nan edge from node 12 to node 11 with capacity 8,\nan edge from node 12 to node 3 with capacity 6,\nan edge from node 13 to node 2 with capacity 3,\nan edge from node 13 to node 8 with capacity 3,\nan edge from node 13 to node 16 with capacity 18,\nan edge from node 13 to node 1 with capacity 15,\nan edge from node 13 to node 15 with capacity 8,\nan edge from node 14 to node 5 with capacity 7,\nan edge from node 14 to node 12 with capacity 13,\nan edge from node 14 to node 6 with capacity 17,\nan edge from node 15 to node 2 with capacity 10,\nan edge from node 15 to node 9 with capacity 7,\nan edge from node 15 to node 10 with capacity 19,\nan edge from node 15 to node 12 with capacity 20,\nan edge from node 15 to node 11 with capacity 4,\nan edge from node 15 to node 4 with capacity 15,\nan edge from node 15 to node 13 with capacity 7,\nan edge from node 16 to node 10 with capacity 5,\nan edge from node 16 to node 5 with capacity 14,\nan edge from node 16 to node 15 with capacity 1,\nan edge from node 16 to node 4 with capacity 9,\nan edge from node 16 to node 6 with capacity 13,\nan edge from node 17 to node 8 with capacity 8,\nan edge from node 17 to node 10 with capacity 11,\nan edge from node 17 to node 1 with capacity 17,\nan edge from node 17 to node 12 with capacity 2,\nWhat is the maximum flow from node 10 to node 8:"
            },
            {
                "from": "gpt",
                "value": "50."
            }
        ]
    },
    {
        "id": "flow-hard-graph369",
        "image": "data/flow/graph_visual/hard/graph369.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 10 with capacity 2,\nan edge from node 0 to node 11 with capacity 16,\nan edge from node 0 to node 13 with capacity 12,\nan edge from node 0 to node 2 with capacity 9,\nan edge from node 1 to node 11 with capacity 20,\nan edge from node 1 to node 5 with capacity 6,\nan edge from node 2 to node 7 with capacity 3,\nan edge from node 2 to node 0 with capacity 12,\nan edge from node 2 to node 9 with capacity 5,\nan edge from node 3 to node 12 with capacity 17,\nan edge from node 3 to node 9 with capacity 14,\nan edge from node 4 to node 11 with capacity 3,\nan edge from node 4 to node 13 with capacity 13,\nan edge from node 4 to node 0 with capacity 10,\nan edge from node 4 to node 5 with capacity 16,\nan edge from node 4 to node 2 with capacity 11,\nan edge from node 5 to node 11 with capacity 14,\nan edge from node 5 to node 8 with capacity 5,\nan edge from node 5 to node 2 with capacity 8,\nan edge from node 6 to node 7 with capacity 2,\nan edge from node 6 to node 11 with capacity 8,\nan edge from node 6 to node 0 with capacity 19,\nan edge from node 6 to node 2 with capacity 10,\nan edge from node 7 to node 6 with capacity 18,\nan edge from node 7 to node 13 with capacity 20,\nan edge from node 7 to node 9 with capacity 15,\nan edge from node 8 to node 7 with capacity 10,\nan edge from node 8 to node 13 with capacity 5,\nan edge from node 8 to node 12 with capacity 7,\nan edge from node 8 to node 5 with capacity 20,\nan edge from node 8 to node 9 with capacity 9,\nan edge from node 8 to node 2 with capacity 20,\nan edge from node 9 to node 1 with capacity 18,\nan edge from node 9 to node 4 with capacity 16,\nan edge from node 9 to node 11 with capacity 12,\nan edge from node 9 to node 6 with capacity 8,\nan edge from node 10 to node 1 with capacity 2,\nan edge from node 10 to node 6 with capacity 8,\nan edge from node 10 to node 8 with capacity 2,\nan edge from node 11 to node 7 with capacity 19,\nan edge from node 11 to node 0 with capacity 8,\nan edge from node 11 to node 5 with capacity 15,\nan edge from node 11 to node 9 with capacity 9,\nan edge from node 12 to node 4 with capacity 8,\nan edge from node 12 to node 3 with capacity 2,\nan edge from node 12 to node 5 with capacity 1,\nan edge from node 12 to node 9 with capacity 9,\nan edge from node 12 to node 2 with capacity 9,\nan edge from node 13 to node 11 with capacity 16,\nan edge from node 13 to node 2 with capacity 3,\nWhat is the maximum flow from node 1 to node 8:"
            },
            {
                "from": "gpt",
                "value": "7."
            }
        ]
    },
    {
        "id": "flow-hard-graph431",
        "image": "data/flow/graph_visual/hard/graph431.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 3 with capacity 6,\nan edge from node 0 to node 8 with capacity 18,\nan edge from node 1 to node 12 with capacity 19,\nan edge from node 1 to node 13 with capacity 20,\nan edge from node 2 to node 12 with capacity 15,\nan edge from node 2 to node 11 with capacity 11,\nan edge from node 2 to node 6 with capacity 9,\nan edge from node 2 to node 9 with capacity 11,\nan edge from node 3 to node 7 with capacity 8,\nan edge from node 3 to node 10 with capacity 6,\nan edge from node 3 to node 12 with capacity 2,\nan edge from node 3 to node 11 with capacity 15,\nan edge from node 3 to node 4 with capacity 8,\nan edge from node 3 to node 9 with capacity 12,\nan edge from node 4 to node 3 with capacity 15,\nan edge from node 4 to node 10 with capacity 9,\nan edge from node 4 to node 5 with capacity 19,\nan edge from node 5 to node 7 with capacity 16,\nan edge from node 5 to node 0 with capacity 11,\nan edge from node 5 to node 11 with capacity 7,\nan edge from node 5 to node 8 with capacity 9,\nan edge from node 5 to node 1 with capacity 9,\nan edge from node 6 to node 3 with capacity 8,\nan edge from node 6 to node 11 with capacity 3,\nan edge from node 6 to node 13 with capacity 7,\nan edge from node 6 to node 4 with capacity 15,\nan edge from node 6 to node 9 with capacity 15,\nan edge from node 7 to node 10 with capacity 18,\nan edge from node 7 to node 11 with capacity 5,\nan edge from node 7 to node 5 with capacity 16,\nan edge from node 7 to node 13 with capacity 1,\nan edge from node 7 to node 6 with capacity 1,\nan edge from node 7 to node 9 with capacity 12,\nan edge from node 8 to node 7 with capacity 3,\nan edge from node 8 to node 0 with capacity 2,\nan edge from node 8 to node 12 with capacity 2,\nan edge from node 8 to node 11 with capacity 19,\nan edge from node 8 to node 13 with capacity 4,\nan edge from node 8 to node 6 with capacity 8,\nan edge from node 9 to node 3 with capacity 17,\nan edge from node 9 to node 2 with capacity 14,\nan edge from node 9 to node 4 with capacity 8,\nan edge from node 10 to node 7 with capacity 8,\nan edge from node 10 to node 11 with capacity 1,\nan edge from node 10 to node 8 with capacity 11,\nan edge from node 10 to node 5 with capacity 8,\nan edge from node 10 to node 6 with capacity 19,\nan edge from node 10 to node 1 with capacity 2,\nan edge from node 10 to node 4 with capacity 12,\nan edge from node 10 to node 9 with capacity 5,\nan edge from node 11 to node 10 with capacity 6,\nan edge from node 11 to node 8 with capacity 4,\nan edge from node 11 to node 2 with capacity 15,\nan edge from node 11 to node 5 with capacity 20,\nan edge from node 11 to node 13 with capacity 10,\nan edge from node 12 to node 3 with capacity 2,\nan edge from node 12 to node 11 with capacity 4,\nan edge from node 12 to node 13 with capacity 1,\nan edge from node 12 to node 1 with capacity 11,\nan edge from node 12 to node 9 with capacity 16,\nan edge from node 13 to node 12 with capacity 11,\nan edge from node 13 to node 4 with capacity 19,\nWhat is the maximum flow from node 13 to node 10:"
            },
            {
                "from": "gpt",
                "value": "30."
            }
        ]
    },
    {
        "id": "flow-hard-graph1078",
        "image": "data/flow/graph_visual/hard/graph1078.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 9 with capacity 4,\nan edge from node 0 to node 8 with capacity 15,\nan edge from node 0 to node 12 with capacity 15,\nan edge from node 1 to node 8 with capacity 1,\nan edge from node 1 to node 12 with capacity 6,\nan edge from node 1 to node 15 with capacity 10,\nan edge from node 1 to node 7 with capacity 16,\nan edge from node 1 to node 4 with capacity 20,\nan edge from node 1 to node 18 with capacity 16,\nan edge from node 1 to node 10 with capacity 10,\nan edge from node 1 to node 14 with capacity 7,\nan edge from node 2 to node 9 with capacity 9,\nan edge from node 2 to node 16 with capacity 20,\nan edge from node 2 to node 7 with capacity 18,\nan edge from node 2 to node 11 with capacity 9,\nan edge from node 2 to node 1 with capacity 8,\nan edge from node 2 to node 14 with capacity 3,\nan edge from node 3 to node 9 with capacity 19,\nan edge from node 3 to node 8 with capacity 7,\nan edge from node 3 to node 15 with capacity 12,\nan edge from node 3 to node 7 with capacity 8,\nan edge from node 3 to node 11 with capacity 12,\nan edge from node 3 to node 1 with capacity 2,\nan edge from node 3 to node 14 with capacity 7,\nan edge from node 4 to node 8 with capacity 9,\nan edge from node 4 to node 12 with capacity 2,\nan edge from node 4 to node 7 with capacity 10,\nan edge from node 4 to node 1 with capacity 14,\nan edge from node 4 to node 10 with capacity 4,\nan edge from node 4 to node 14 with capacity 16,\nan edge from node 4 to node 5 with capacity 6,\nan edge from node 4 to node 17 with capacity 18,\nan edge from node 5 to node 8 with capacity 16,\nan edge from node 5 to node 11 with capacity 4,\nan edge from node 5 to node 18 with capacity 13,\nan edge from node 6 to node 9 with capacity 4,\nan edge from node 6 to node 8 with capacity 8,\nan edge from node 6 to node 14 with capacity 9,\nan edge from node 6 to node 17 with capacity 11,\nan edge from node 7 to node 9 with capacity 15,\nan edge from node 7 to node 13 with capacity 6,\nan edge from node 7 to node 6 with capacity 16,\nan edge from node 7 to node 11 with capacity 4,\nan edge from node 7 to node 18 with capacity 14,\nan edge from node 7 to node 10 with capacity 13,\nan edge from node 7 to node 3 with capacity 2,\nan edge from node 8 to node 7 with capacity 9,\nan edge from node 8 to node 11 with capacity 20,\nan edge from node 8 to node 1 with capacity 3,\nan edge from node 8 to node 4 with capacity 15,\nan edge from node 8 to node 17 with capacity 18,\nan edge from node 9 to node 15 with capacity 8,\nan edge from node 9 to node 11 with capacity 10,\nan edge from node 9 to node 18 with capacity 14,\nan edge from node 9 to node 3 with capacity 20,\nan edge from node 10 to node 9 with capacity 6,\nan edge from node 10 to node 6 with capacity 9,\nan edge from node 10 to node 18 with capacity 1,\nan edge from node 11 to node 9 with capacity 12,\nan edge from node 11 to node 8 with capacity 19,\nan edge from node 11 to node 7 with capacity 1,\nan edge from node 11 to node 1 with capacity 10,\nan edge from node 11 to node 10 with capacity 13,\nan edge from node 11 to node 14 with capacity 7,\nan edge from node 11 to node 5 with capacity 14,\nan edge from node 11 to node 0 with capacity 9,\nan edge from node 12 to node 9 with capacity 2,\nan edge from node 12 to node 16 with capacity 2,\nan edge from node 12 to node 8 with capacity 16,\nan edge from node 12 to node 11 with capacity 3,\nan edge from node 12 to node 2 with capacity 14,\nan edge from node 12 to node 14 with capacity 12,\nan edge from node 12 to node 5 with capacity 1,\nan edge from node 13 to node 12 with capacity 17,\nan edge from node 13 to node 7 with capacity 4,\nan edge from node 13 to node 11 with capacity 12,\nan edge from node 13 to node 18 with capacity 2,\nan edge from node 14 to node 8 with capacity 6,\nan edge from node 14 to node 13 with capacity 17,\nan edge from node 14 to node 12 with capacity 19,\nan edge from node 14 to node 15 with capacity 5,\nan edge from node 14 to node 6 with capacity 8,\nan edge from node 14 to node 2 with capacity 4,\nan edge from node 14 to node 10 with capacity 16,\nan edge from node 15 to node 12 with capacity 18,\nan edge from node 15 to node 7 with capacity 10,\nan edge from node 15 to node 5 with capacity 12,\nan edge from node 15 to node 17 with capacity 17,\nan edge from node 16 to node 6 with capacity 13,\nan edge from node 16 to node 1 with capacity 2,\nan edge from node 16 to node 2 with capacity 12,\nan edge from node 16 to node 3 with capacity 3,\nan edge from node 17 to node 9 with capacity 1,\nan edge from node 17 to node 8 with capacity 17,\nan edge from node 17 to node 6 with capacity 3,\nan edge from node 17 to node 2 with capacity 4,\nan edge from node 17 to node 4 with capacity 3,\nan edge from node 17 to node 10 with capacity 2,\nan edge from node 18 to node 1 with capacity 2,\nan edge from node 18 to node 10 with capacity 9,\nan edge from node 18 to node 5 with capacity 20,\nWhat is the maximum flow from node 8 to node 13:"
            },
            {
                "from": "gpt",
                "value": "23."
            }
        ]
    },
    {
        "id": "flow-hard-graph782",
        "image": "data/flow/graph_visual/hard/graph782.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 7 with capacity 15,\nan edge from node 0 to node 16 with capacity 5,\nan edge from node 0 to node 2 with capacity 1,\nan edge from node 0 to node 15 with capacity 1,\nan edge from node 0 to node 11 with capacity 6,\nan edge from node 1 to node 7 with capacity 5,\nan edge from node 1 to node 10 with capacity 17,\nan edge from node 1 to node 14 with capacity 20,\nan edge from node 1 to node 4 with capacity 19,\nan edge from node 1 to node 16 with capacity 14,\nan edge from node 1 to node 2 with capacity 2,\nan edge from node 1 to node 6 with capacity 7,\nan edge from node 1 to node 11 with capacity 17,\nan edge from node 1 to node 8 with capacity 5,\nan edge from node 2 to node 10 with capacity 2,\nan edge from node 2 to node 4 with capacity 11,\nan edge from node 2 to node 16 with capacity 1,\nan edge from node 2 to node 3 with capacity 14,\nan edge from node 2 to node 1 with capacity 2,\nan edge from node 3 to node 5 with capacity 13,\nan edge from node 3 to node 2 with capacity 4,\nan edge from node 3 to node 15 with capacity 16,\nan edge from node 3 to node 1 with capacity 15,\nan edge from node 3 to node 8 with capacity 16,\nan edge from node 4 to node 10 with capacity 15,\nan edge from node 4 to node 3 with capacity 8,\nan edge from node 4 to node 2 with capacity 14,\nan edge from node 4 to node 8 with capacity 5,\nan edge from node 5 to node 10 with capacity 9,\nan edge from node 5 to node 14 with capacity 3,\nan edge from node 5 to node 4 with capacity 4,\nan edge from node 5 to node 16 with capacity 20,\nan edge from node 5 to node 3 with capacity 5,\nan edge from node 5 to node 6 with capacity 13,\nan edge from node 5 to node 15 with capacity 14,\nan edge from node 5 to node 8 with capacity 10,\nan edge from node 6 to node 2 with capacity 9,\nan edge from node 7 to node 13 with capacity 17,\nan edge from node 7 to node 5 with capacity 2,\nan edge from node 7 to node 2 with capacity 10,\nan edge from node 7 to node 6 with capacity 7,\nan edge from node 7 to node 1 with capacity 18,\nan edge from node 7 to node 8 with capacity 13,\nan edge from node 8 to node 7 with capacity 11,\nan edge from node 8 to node 10 with capacity 12,\nan edge from node 8 to node 14 with capacity 2,\nan edge from node 8 to node 16 with capacity 15,\nan edge from node 8 to node 5 with capacity 16,\nan edge from node 8 to node 3 with capacity 2,\nan edge from node 8 to node 2 with capacity 2,\nan edge from node 8 to node 15 with capacity 4,\nan edge from node 8 to node 11 with capacity 1,\nan edge from node 8 to node 9 with capacity 1,\nan edge from node 9 to node 7 with capacity 17,\nan edge from node 9 to node 13 with capacity 9,\nan edge from node 9 to node 5 with capacity 11,\nan edge from node 10 to node 2 with capacity 8,\nan edge from node 10 to node 6 with capacity 6,\nan edge from node 10 to node 11 with capacity 13,\nan edge from node 10 to node 1 with capacity 6,\nan edge from node 10 to node 0 with capacity 19,\nan edge from node 10 to node 9 with capacity 1,\nan edge from node 10 to node 8 with capacity 13,\nan edge from node 11 to node 14 with capacity 19,\nan edge from node 11 to node 16 with capacity 18,\nan edge from node 11 to node 2 with capacity 20,\nan edge from node 11 to node 9 with capacity 9,\nan edge from node 12 to node 7 with capacity 19,\nan edge from node 12 to node 14 with capacity 9,\nan edge from node 12 to node 16 with capacity 16,\nan edge from node 12 to node 3 with capacity 20,\nan edge from node 12 to node 6 with capacity 9,\nan edge from node 12 to node 15 with capacity 17,\nan edge from node 12 to node 11 with capacity 17,\nan edge from node 12 to node 0 with capacity 4,\nan edge from node 12 to node 8 with capacity 1,\nan edge from node 13 to node 10 with capacity 13,\nan edge from node 13 to node 12 with capacity 12,\nan edge from node 13 to node 1 with capacity 5,\nan edge from node 14 to node 13 with capacity 12,\nan edge from node 14 to node 3 with capacity 20,\nan edge from node 15 to node 8 with capacity 15,\nan edge from node 16 to node 7 with capacity 18,\nan edge from node 16 to node 14 with capacity 19,\nan edge from node 16 to node 3 with capacity 14,\nan edge from node 16 to node 6 with capacity 13,\nan edge from node 16 to node 1 with capacity 18,\nan edge from node 16 to node 9 with capacity 18,\nWhat is the maximum flow from node 6 to node 15:"
            },
            {
                "from": "gpt",
                "value": "9."
            }
        ]
    },
    {
        "id": "flow-hard-graph362",
        "image": "data/flow/graph_visual/hard/graph362.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 1 with capacity 16,\nan edge from node 0 to node 7 with capacity 10,\nan edge from node 0 to node 3 with capacity 18,\nan edge from node 0 to node 9 with capacity 8,\nan edge from node 0 to node 5 with capacity 1,\nan edge from node 1 to node 7 with capacity 15,\nan edge from node 1 to node 6 with capacity 7,\nan edge from node 1 to node 9 with capacity 9,\nan edge from node 1 to node 4 with capacity 13,\nan edge from node 1 to node 13 with capacity 7,\nan edge from node 2 to node 6 with capacity 9,\nan edge from node 3 to node 1 with capacity 10,\nan edge from node 3 to node 6 with capacity 19,\nan edge from node 3 to node 4 with capacity 2,\nan edge from node 3 to node 11 with capacity 17,\nan edge from node 4 to node 6 with capacity 2,\nan edge from node 4 to node 11 with capacity 9,\nan edge from node 4 to node 8 with capacity 6,\nan edge from node 5 to node 7 with capacity 2,\nan edge from node 5 to node 0 with capacity 8,\nan edge from node 5 to node 3 with capacity 5,\nan edge from node 5 to node 4 with capacity 7,\nan edge from node 6 to node 0 with capacity 8,\nan edge from node 6 to node 3 with capacity 8,\nan edge from node 6 to node 4 with capacity 7,\nan edge from node 6 to node 13 with capacity 8,\nan edge from node 6 to node 8 with capacity 18,\nan edge from node 7 to node 3 with capacity 16,\nan edge from node 7 to node 9 with capacity 2,\nan edge from node 7 to node 10 with capacity 15,\nan edge from node 7 to node 12 with capacity 5,\nan edge from node 8 to node 1 with capacity 15,\nan edge from node 8 to node 3 with capacity 13,\nan edge from node 8 to node 13 with capacity 13,\nan edge from node 8 to node 2 with capacity 20,\nan edge from node 8 to node 5 with capacity 9,\nan edge from node 8 to node 10 with capacity 9,\nan edge from node 8 to node 12 with capacity 6,\nan edge from node 9 to node 1 with capacity 18,\nan edge from node 9 to node 4 with capacity 10,\nan edge from node 9 to node 13 with capacity 14,\nan edge from node 10 to node 1 with capacity 15,\nan edge from node 10 to node 11 with capacity 3,\nan edge from node 10 to node 5 with capacity 5,\nan edge from node 11 to node 3 with capacity 14,\nan edge from node 11 to node 9 with capacity 12,\nan edge from node 11 to node 2 with capacity 7,\nan edge from node 12 to node 13 with capacity 1,\nan edge from node 13 to node 7 with capacity 16,\nan edge from node 13 to node 11 with capacity 1,\nan edge from node 13 to node 8 with capacity 13,\nan edge from node 13 to node 12 with capacity 13,\nWhat is the maximum flow from node 1 to node 12:"
            },
            {
                "from": "gpt",
                "value": "24."
            }
        ]
    },
    {
        "id": "flow-hard-graph303",
        "image": "data/flow/graph_visual/hard/graph303.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 2 with capacity 18,\nan edge from node 1 to node 9 with capacity 1,\nan edge from node 1 to node 7 with capacity 10,\nan edge from node 2 to node 0 with capacity 19,\nan edge from node 2 to node 5 with capacity 7,\nan edge from node 2 to node 8 with capacity 10,\nan edge from node 3 to node 0 with capacity 20,\nan edge from node 3 to node 4 with capacity 9,\nan edge from node 4 to node 3 with capacity 12,\nan edge from node 4 to node 8 with capacity 1,\nan edge from node 4 to node 9 with capacity 7,\nan edge from node 5 to node 4 with capacity 13,\nan edge from node 6 to node 0 with capacity 11,\nan edge from node 6 to node 5 with capacity 5,\nan edge from node 7 to node 3 with capacity 15,\nan edge from node 7 to node 2 with capacity 7,\nan edge from node 8 to node 12 with capacity 13,\nan edge from node 8 to node 9 with capacity 2,\nan edge from node 8 to node 11 with capacity 12,\nan edge from node 8 to node 4 with capacity 7,\nan edge from node 9 to node 0 with capacity 10,\nan edge from node 9 to node 3 with capacity 6,\nan edge from node 9 to node 5 with capacity 4,\nan edge from node 9 to node 6 with capacity 2,\nan edge from node 9 to node 10 with capacity 15,\nan edge from node 10 to node 12 with capacity 11,\nan edge from node 10 to node 5 with capacity 4,\nan edge from node 10 to node 4 with capacity 5,\nan edge from node 11 to node 12 with capacity 18,\nan edge from node 12 to node 2 with capacity 20,\nan edge from node 12 to node 6 with capacity 4,\nan edge from node 12 to node 10 with capacity 8,\nWhat is the maximum flow from node 10 to node 2:"
            },
            {
                "from": "gpt",
                "value": "20."
            }
        ]
    },
    {
        "id": "flow-hard-graph1154",
        "image": "data/flow/graph_visual/hard/graph1154.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 6 with capacity 18,\nan edge from node 0 to node 2 with capacity 3,\nan edge from node 0 to node 3 with capacity 16,\nan edge from node 0 to node 5 with capacity 5,\nan edge from node 1 to node 8 with capacity 20,\nan edge from node 1 to node 15 with capacity 9,\nan edge from node 1 to node 4 with capacity 20,\nan edge from node 2 to node 8 with capacity 8,\nan edge from node 2 to node 1 with capacity 14,\nan edge from node 3 to node 16 with capacity 12,\nan edge from node 3 to node 4 with capacity 18,\nan edge from node 3 to node 0 with capacity 6,\nan edge from node 3 to node 19 with capacity 2,\nan edge from node 3 to node 17 with capacity 4,\nan edge from node 3 to node 14 with capacity 14,\nan edge from node 4 to node 6 with capacity 11,\nan edge from node 4 to node 9 with capacity 16,\nan edge from node 4 to node 18 with capacity 11,\nan edge from node 4 to node 0 with capacity 9,\nan edge from node 4 to node 11 with capacity 7,\nan edge from node 4 to node 13 with capacity 19,\nan edge from node 5 to node 7 with capacity 1,\nan edge from node 5 to node 2 with capacity 15,\nan edge from node 5 to node 1 with capacity 16,\nan edge from node 5 to node 13 with capacity 8,\nan edge from node 6 to node 16 with capacity 12,\nan edge from node 6 to node 15 with capacity 3,\nan edge from node 6 to node 0 with capacity 13,\nan edge from node 6 to node 11 with capacity 13,\nan edge from node 6 to node 17 with capacity 3,\nan edge from node 6 to node 10 with capacity 15,\nan edge from node 6 to node 5 with capacity 13,\nan edge from node 7 to node 8 with capacity 7,\nan edge from node 7 to node 16 with capacity 1,\nan edge from node 7 to node 0 with capacity 19,\nan edge from node 7 to node 10 with capacity 6,\nan edge from node 7 to node 5 with capacity 20,\nan edge from node 7 to node 14 with capacity 9,\nan edge from node 8 to node 6 with capacity 14,\nan edge from node 8 to node 12 with capacity 4,\nan edge from node 8 to node 11 with capacity 17,\nan edge from node 8 to node 17 with capacity 19,\nan edge from node 8 to node 14 with capacity 2,\nan edge from node 8 to node 13 with capacity 20,\nan edge from node 9 to node 8 with capacity 19,\nan edge from node 9 to node 6 with capacity 20,\nan edge from node 9 to node 12 with capacity 3,\nan edge from node 9 to node 11 with capacity 16,\nan edge from node 9 to node 17 with capacity 19,\nan edge from node 10 to node 4 with capacity 20,\nan edge from node 10 to node 5 with capacity 5,\nan edge from node 11 to node 8 with capacity 8,\nan edge from node 11 to node 2 with capacity 5,\nan edge from node 11 to node 19 with capacity 7,\nan edge from node 11 to node 10 with capacity 8,\nan edge from node 11 to node 14 with capacity 10,\nan edge from node 12 to node 6 with capacity 3,\nan edge from node 12 to node 16 with capacity 18,\nan edge from node 12 to node 10 with capacity 4,\nan edge from node 13 to node 8 with capacity 20,\nan edge from node 13 to node 7 with capacity 9,\nan edge from node 13 to node 9 with capacity 16,\nan edge from node 13 to node 18 with capacity 16,\nan edge from node 13 to node 0 with capacity 18,\nan edge from node 13 to node 5 with capacity 13,\nan edge from node 13 to node 1 with capacity 15,\nan edge from node 14 to node 8 with capacity 15,\nan edge from node 14 to node 7 with capacity 13,\nan edge from node 14 to node 6 with capacity 2,\nan edge from node 14 to node 18 with capacity 16,\nan edge from node 14 to node 15 with capacity 10,\nan edge from node 14 to node 3 with capacity 6,\nan edge from node 14 to node 5 with capacity 13,\nan edge from node 15 to node 6 with capacity 20,\nan edge from node 15 to node 16 with capacity 2,\nan edge from node 15 to node 4 with capacity 3,\nan edge from node 15 to node 12 with capacity 1,\nan edge from node 15 to node 10 with capacity 9,\nan edge from node 15 to node 14 with capacity 14,\nan edge from node 16 to node 9 with capacity 14,\nan edge from node 16 to node 15 with capacity 19,\nan edge from node 16 to node 2 with capacity 18,\nan edge from node 17 to node 7 with capacity 4,\nan edge from node 17 to node 15 with capacity 7,\nan edge from node 17 to node 2 with capacity 12,\nan edge from node 17 to node 12 with capacity 18,\nan edge from node 17 to node 0 with capacity 5,\nan edge from node 17 to node 11 with capacity 20,\nan edge from node 17 to node 19 with capacity 4,\nan edge from node 17 to node 3 with capacity 16,\nan edge from node 17 to node 5 with capacity 5,\nan edge from node 17 to node 1 with capacity 13,\nan edge from node 17 to node 14 with capacity 19,\nan edge from node 17 to node 13 with capacity 11,\nan edge from node 18 to node 8 with capacity 13,\nan edge from node 18 to node 2 with capacity 13,\nan edge from node 18 to node 11 with capacity 3,\nan edge from node 19 to node 16 with capacity 16,\nan edge from node 19 to node 15 with capacity 14,\nan edge from node 19 to node 12 with capacity 19,\nan edge from node 19 to node 17 with capacity 20,\nan edge from node 19 to node 10 with capacity 8,\nan edge from node 19 to node 1 with capacity 13,\nWhat is the maximum flow from node 13 to node 8:"
            },
            {
                "from": "gpt",
                "value": "107."
            }
        ]
    },
    {
        "id": "flow-hard-graph683",
        "image": "data/flow/graph_visual/hard/graph683.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 8 with capacity 7,\nan edge from node 0 to node 2 with capacity 11,\nan edge from node 1 to node 0 with capacity 12,\nan edge from node 1 to node 14 with capacity 4,\nan edge from node 2 to node 12 with capacity 5,\nan edge from node 2 to node 9 with capacity 4,\nan edge from node 2 to node 6 with capacity 2,\nan edge from node 3 to node 7 with capacity 16,\nan edge from node 3 to node 5 with capacity 4,\nan edge from node 3 to node 0 with capacity 3,\nan edge from node 3 to node 15 with capacity 16,\nan edge from node 3 to node 11 with capacity 13,\nan edge from node 4 to node 2 with capacity 8,\nan edge from node 4 to node 5 with capacity 4,\nan edge from node 4 to node 10 with capacity 3,\nan edge from node 4 to node 12 with capacity 14,\nan edge from node 4 to node 13 with capacity 7,\nan edge from node 4 to node 6 with capacity 15,\nan edge from node 5 to node 1 with capacity 18,\nan edge from node 5 to node 9 with capacity 10,\nan edge from node 6 to node 7 with capacity 1,\nan edge from node 6 to node 3 with capacity 17,\nan edge from node 6 to node 5 with capacity 1,\nan edge from node 7 to node 2 with capacity 12,\nan edge from node 7 to node 10 with capacity 16,\nan edge from node 7 to node 9 with capacity 20,\nan edge from node 8 to node 2 with capacity 17,\nan edge from node 8 to node 5 with capacity 17,\nan edge from node 8 to node 10 with capacity 17,\nan edge from node 8 to node 15 with capacity 11,\nan edge from node 8 to node 13 with capacity 19,\nan edge from node 8 to node 11 with capacity 14,\nan edge from node 9 to node 8 with capacity 16,\nan edge from node 9 to node 3 with capacity 1,\nan edge from node 9 to node 4 with capacity 4,\nan edge from node 9 to node 5 with capacity 11,\nan edge from node 9 to node 14 with capacity 11,\nan edge from node 9 to node 6 with capacity 3,\nan edge from node 10 to node 0 with capacity 11,\nan edge from node 10 to node 12 with capacity 8,\nan edge from node 11 to node 7 with capacity 20,\nan edge from node 11 to node 3 with capacity 17,\nan edge from node 11 to node 4 with capacity 19,\nan edge from node 11 to node 15 with capacity 7,\nan edge from node 11 to node 12 with capacity 17,\nan edge from node 11 to node 13 with capacity 19,\nan edge from node 12 to node 2 with capacity 9,\nan edge from node 12 to node 6 with capacity 3,\nan edge from node 13 to node 14 with capacity 8,\nan edge from node 14 to node 7 with capacity 4,\nan edge from node 14 to node 4 with capacity 17,\nan edge from node 14 to node 11 with capacity 18,\nan edge from node 15 to node 2 with capacity 6,\nan edge from node 15 to node 5 with capacity 11,\nan edge from node 15 to node 0 with capacity 20,\nan edge from node 15 to node 12 with capacity 7,\nan edge from node 15 to node 9 with capacity 5,\nWhat is the maximum flow from node 3 to node 13:"
            },
            {
                "from": "gpt",
                "value": "45."
            }
        ]
    },
    {
        "id": "flow-hard-graph565",
        "image": "data/flow/graph_visual/hard/graph565.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 2 with capacity 2,\nan edge from node 0 to node 6 with capacity 14,\nan edge from node 0 to node 4 with capacity 17,\nan edge from node 0 to node 13 with capacity 20,\nan edge from node 1 to node 2 with capacity 8,\nan edge from node 1 to node 0 with capacity 9,\nan edge from node 1 to node 10 with capacity 6,\nan edge from node 1 to node 3 with capacity 2,\nan edge from node 2 to node 4 with capacity 3,\nan edge from node 2 to node 1 with capacity 20,\nan edge from node 2 to node 8 with capacity 20,\nan edge from node 2 to node 7 with capacity 10,\nan edge from node 3 to node 10 with capacity 5,\nan edge from node 3 to node 5 with capacity 8,\nan edge from node 4 to node 13 with capacity 18,\nan edge from node 5 to node 13 with capacity 9,\nan edge from node 6 to node 0 with capacity 18,\nan edge from node 6 to node 8 with capacity 5,\nan edge from node 6 to node 7 with capacity 5,\nan edge from node 6 to node 10 with capacity 3,\nan edge from node 6 to node 5 with capacity 14,\nan edge from node 6 to node 12 with capacity 8,\nan edge from node 6 to node 3 with capacity 17,\nan edge from node 7 to node 5 with capacity 11,\nan edge from node 7 to node 9 with capacity 15,\nan edge from node 8 to node 0 with capacity 14,\nan edge from node 8 to node 14 with capacity 10,\nan edge from node 8 to node 3 with capacity 2,\nan edge from node 9 to node 0 with capacity 4,\nan edge from node 9 to node 6 with capacity 6,\nan edge from node 9 to node 1 with capacity 3,\nan edge from node 9 to node 7 with capacity 20,\nan edge from node 9 to node 12 with capacity 17,\nan edge from node 10 to node 0 with capacity 15,\nan edge from node 11 to node 1 with capacity 13,\nan edge from node 12 to node 5 with capacity 1,\nan edge from node 12 to node 3 with capacity 18,\nan edge from node 13 to node 6 with capacity 15,\nan edge from node 14 to node 1 with capacity 20,\nWhat is the maximum flow from node 13 to node 14:"
            },
            {
                "from": "gpt",
                "value": "10."
            }
        ]
    },
    {
        "id": "flow-hard-graph1163",
        "image": "data/flow/graph_visual/hard/graph1163.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 9 with capacity 14,\nan edge from node 0 to node 7 with capacity 11,\nan edge from node 0 to node 1 with capacity 15,\nan edge from node 1 to node 4 with capacity 18,\nan edge from node 1 to node 6 with capacity 20,\nan edge from node 1 to node 12 with capacity 17,\nan edge from node 1 to node 14 with capacity 2,\nan edge from node 2 to node 8 with capacity 19,\nan edge from node 2 to node 5 with capacity 7,\nan edge from node 2 to node 9 with capacity 9,\nan edge from node 2 to node 14 with capacity 8,\nan edge from node 2 to node 17 with capacity 14,\nan edge from node 2 to node 10 with capacity 1,\nan edge from node 3 to node 5 with capacity 16,\nan edge from node 3 to node 12 with capacity 9,\nan edge from node 3 to node 9 with capacity 5,\nan edge from node 3 to node 14 with capacity 14,\nan edge from node 3 to node 2 with capacity 6,\nan edge from node 4 to node 6 with capacity 11,\nan edge from node 4 to node 9 with capacity 12,\nan edge from node 4 to node 13 with capacity 12,\nan edge from node 4 to node 11 with capacity 17,\nan edge from node 4 to node 18 with capacity 1,\nan edge from node 4 to node 2 with capacity 12,\nan edge from node 5 to node 4 with capacity 15,\nan edge from node 5 to node 19 with capacity 12,\nan edge from node 5 to node 9 with capacity 20,\nan edge from node 5 to node 0 with capacity 6,\nan edge from node 5 to node 11 with capacity 2,\nan edge from node 5 to node 18 with capacity 4,\nan edge from node 6 to node 4 with capacity 9,\nan edge from node 6 to node 0 with capacity 7,\nan edge from node 6 to node 7 with capacity 16,\nan edge from node 6 to node 3 with capacity 10,\nan edge from node 6 to node 13 with capacity 12,\nan edge from node 7 to node 6 with capacity 3,\nan edge from node 7 to node 3 with capacity 11,\nan edge from node 7 to node 1 with capacity 19,\nan edge from node 8 to node 5 with capacity 17,\nan edge from node 8 to node 19 with capacity 9,\nan edge from node 8 to node 9 with capacity 6,\nan edge from node 8 to node 18 with capacity 2,\nan edge from node 9 to node 12 with capacity 3,\nan edge from node 9 to node 19 with capacity 20,\nan edge from node 9 to node 0 with capacity 19,\nan edge from node 10 to node 19 with capacity 4,\nan edge from node 10 to node 13 with capacity 6,\nan edge from node 11 to node 4 with capacity 8,\nan edge from node 11 to node 7 with capacity 11,\nan edge from node 11 to node 13 with capacity 7,\nan edge from node 11 to node 1 with capacity 12,\nan edge from node 12 to node 4 with capacity 17,\nan edge from node 12 to node 6 with capacity 5,\nan edge from node 12 to node 5 with capacity 12,\nan edge from node 12 to node 14 with capacity 11,\nan edge from node 12 to node 7 with capacity 6,\nan edge from node 12 to node 3 with capacity 19,\nan edge from node 12 to node 18 with capacity 19,\nan edge from node 12 to node 17 with capacity 7,\nan edge from node 12 to node 10 with capacity 6,\nan edge from node 12 to node 1 with capacity 8,\nan edge from node 13 to node 8 with capacity 18,\nan edge from node 13 to node 16 with capacity 10,\nan edge from node 13 to node 5 with capacity 10,\nan edge from node 13 to node 15 with capacity 19,\nan edge from node 13 to node 1 with capacity 19,\nan edge from node 14 to node 11 with capacity 8,\nan edge from node 14 to node 10 with capacity 5,\nan edge from node 14 to node 1 with capacity 20,\nan edge from node 15 to node 16 with capacity 14,\nan edge from node 15 to node 6 with capacity 12,\nan edge from node 15 to node 1 with capacity 10,\nan edge from node 16 to node 8 with capacity 11,\nan edge from node 16 to node 19 with capacity 9,\nan edge from node 16 to node 9 with capacity 3,\nan edge from node 16 to node 15 with capacity 20,\nan edge from node 16 to node 14 with capacity 11,\nan edge from node 16 to node 11 with capacity 13,\nan edge from node 16 to node 17 with capacity 2,\nan edge from node 17 to node 0 with capacity 4,\nan edge from node 17 to node 15 with capacity 11,\nan edge from node 17 to node 14 with capacity 13,\nan edge from node 17 to node 3 with capacity 18,\nan edge from node 17 to node 13 with capacity 1,\nan edge from node 17 to node 11 with capacity 5,\nan edge from node 17 to node 18 with capacity 7,\nan edge from node 17 to node 10 with capacity 8,\nan edge from node 17 to node 1 with capacity 5,\nan edge from node 18 to node 4 with capacity 1,\nan edge from node 18 to node 8 with capacity 7,\nan edge from node 18 to node 9 with capacity 19,\nan edge from node 18 to node 14 with capacity 4,\nan edge from node 19 to node 16 with capacity 16,\nan edge from node 19 to node 6 with capacity 17,\nan edge from node 19 to node 0 with capacity 9,\nWhat is the maximum flow from node 1 to node 0:"
            },
            {
                "from": "gpt",
                "value": "45."
            }
        ]
    },
    {
        "id": "flow-hard-graph1103",
        "image": "data/flow/graph_visual/hard/graph1103.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 7 with capacity 10,\nan edge from node 0 to node 1 with capacity 5,\nan edge from node 0 to node 11 with capacity 14,\nan edge from node 0 to node 2 with capacity 1,\nan edge from node 1 to node 0 with capacity 18,\nan edge from node 1 to node 2 with capacity 14,\nan edge from node 2 to node 1 with capacity 7,\nan edge from node 2 to node 14 with capacity 10,\nan edge from node 2 to node 13 with capacity 18,\nan edge from node 2 to node 0 with capacity 15,\nan edge from node 2 to node 10 with capacity 4,\nan edge from node 3 to node 17 with capacity 10,\nan edge from node 3 to node 16 with capacity 4,\nan edge from node 3 to node 13 with capacity 7,\nan edge from node 3 to node 12 with capacity 20,\nan edge from node 3 to node 0 with capacity 1,\nan edge from node 3 to node 2 with capacity 5,\nan edge from node 4 to node 7 with capacity 14,\nan edge from node 4 to node 1 with capacity 10,\nan edge from node 4 to node 13 with capacity 11,\nan edge from node 4 to node 2 with capacity 2,\nan edge from node 4 to node 10 with capacity 9,\nan edge from node 5 to node 11 with capacity 20,\nan edge from node 5 to node 15 with capacity 1,\nan edge from node 5 to node 14 with capacity 15,\nan edge from node 5 to node 16 with capacity 5,\nan edge from node 5 to node 12 with capacity 20,\nan edge from node 5 to node 2 with capacity 2,\nan edge from node 5 to node 9 with capacity 7,\nan edge from node 6 to node 11 with capacity 3,\nan edge from node 6 to node 13 with capacity 5,\nan edge from node 6 to node 10 with capacity 5,\nan edge from node 7 to node 1 with capacity 19,\nan edge from node 7 to node 6 with capacity 14,\nan edge from node 7 to node 15 with capacity 13,\nan edge from node 7 to node 3 with capacity 13,\nan edge from node 7 to node 16 with capacity 10,\nan edge from node 7 to node 12 with capacity 20,\nan edge from node 8 to node 7 with capacity 14,\nan edge from node 8 to node 17 with capacity 19,\nan edge from node 8 to node 9 with capacity 17,\nan edge from node 9 to node 11 with capacity 20,\nan edge from node 9 to node 18 with capacity 16,\nan edge from node 9 to node 0 with capacity 6,\nan edge from node 9 to node 2 with capacity 16,\nan edge from node 9 to node 10 with capacity 13,\nan edge from node 10 to node 6 with capacity 15,\nan edge from node 10 to node 11 with capacity 15,\nan edge from node 10 to node 8 with capacity 20,\nan edge from node 10 to node 13 with capacity 16,\nan edge from node 10 to node 0 with capacity 11,\nan edge from node 11 to node 3 with capacity 3,\nan edge from node 11 to node 12 with capacity 11,\nan edge from node 11 to node 9 with capacity 8,\nan edge from node 12 to node 1 with capacity 13,\nan edge from node 12 to node 19 with capacity 8,\nan edge from node 12 to node 9 with capacity 10,\nan edge from node 12 to node 10 with capacity 9,\nan edge from node 13 to node 3 with capacity 9,\nan edge from node 13 to node 8 with capacity 8,\nan edge from node 13 to node 16 with capacity 2,\nan edge from node 13 to node 12 with capacity 9,\nan edge from node 14 to node 7 with capacity 20,\nan edge from node 14 to node 1 with capacity 12,\nan edge from node 14 to node 6 with capacity 5,\nan edge from node 14 to node 15 with capacity 12,\nan edge from node 14 to node 8 with capacity 4,\nan edge from node 14 to node 0 with capacity 11,\nan edge from node 15 to node 7 with capacity 1,\nan edge from node 15 to node 11 with capacity 10,\nan edge from node 15 to node 14 with capacity 16,\nan edge from node 15 to node 19 with capacity 6,\nan edge from node 15 to node 8 with capacity 2,\nan edge from node 15 to node 13 with capacity 2,\nan edge from node 15 to node 2 with capacity 12,\nan edge from node 15 to node 9 with capacity 7,\nan edge from node 16 to node 17 with capacity 11,\nan edge from node 16 to node 2 with capacity 20,\nan edge from node 16 to node 10 with capacity 9,\nan edge from node 17 to node 7 with capacity 1,\nan edge from node 17 to node 5 with capacity 11,\nan edge from node 17 to node 15 with capacity 2,\nan edge from node 17 to node 3 with capacity 1,\nan edge from node 17 to node 8 with capacity 1,\nan edge from node 17 to node 0 with capacity 11,\nan edge from node 17 to node 2 with capacity 15,\nan edge from node 18 to node 6 with capacity 16,\nan edge from node 18 to node 15 with capacity 13,\nan edge from node 18 to node 17 with capacity 15,\nan edge from node 18 to node 16 with capacity 19,\nan edge from node 18 to node 0 with capacity 13,\nan edge from node 19 to node 6 with capacity 12,\nan edge from node 19 to node 11 with capacity 12,\nan edge from node 19 to node 3 with capacity 17,\nWhat is the maximum flow from node 4 to node 5:"
            },
            {
                "from": "gpt",
                "value": "11."
            }
        ]
    },
    {
        "id": "flow-hard-graph602",
        "image": "data/flow/graph_visual/hard/graph602.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 4 with capacity 3,\nan edge from node 0 to node 2 with capacity 13,\nan edge from node 0 to node 13 with capacity 20,\nan edge from node 0 to node 6 with capacity 6,\nan edge from node 1 to node 0 with capacity 18,\nan edge from node 1 to node 5 with capacity 2,\nan edge from node 1 to node 15 with capacity 13,\nan edge from node 1 to node 8 with capacity 7,\nan edge from node 1 to node 9 with capacity 20,\nan edge from node 1 to node 13 with capacity 18,\nan edge from node 1 to node 11 with capacity 2,\nan edge from node 2 to node 0 with capacity 16,\nan edge from node 2 to node 4 with capacity 15,\nan edge from node 2 to node 8 with capacity 9,\nan edge from node 2 to node 11 with capacity 5,\nan edge from node 2 to node 6 with capacity 13,\nan edge from node 3 to node 10 with capacity 7,\nan edge from node 3 to node 15 with capacity 10,\nan edge from node 3 to node 14 with capacity 15,\nan edge from node 4 to node 10 with capacity 8,\nan edge from node 4 to node 2 with capacity 3,\nan edge from node 4 to node 3 with capacity 16,\nan edge from node 4 to node 9 with capacity 6,\nan edge from node 4 to node 13 with capacity 9,\nan edge from node 4 to node 11 with capacity 20,\nan edge from node 4 to node 6 with capacity 2,\nan edge from node 5 to node 6 with capacity 6,\nan edge from node 6 to node 0 with capacity 8,\nan edge from node 6 to node 7 with capacity 15,\nan edge from node 6 to node 15 with capacity 19,\nan edge from node 6 to node 14 with capacity 2,\nan edge from node 6 to node 8 with capacity 1,\nan edge from node 6 to node 9 with capacity 17,\nan edge from node 7 to node 0 with capacity 17,\nan edge from node 7 to node 8 with capacity 5,\nan edge from node 8 to node 9 with capacity 5,\nan edge from node 8 to node 11 with capacity 17,\nan edge from node 8 to node 6 with capacity 12,\nan edge from node 9 to node 0 with capacity 13,\nan edge from node 9 to node 5 with capacity 20,\nan edge from node 9 to node 7 with capacity 3,\nan edge from node 9 to node 2 with capacity 20,\nan edge from node 9 to node 12 with capacity 14,\nan edge from node 9 to node 3 with capacity 11,\nan edge from node 10 to node 5 with capacity 19,\nan edge from node 10 to node 14 with capacity 7,\nan edge from node 11 to node 0 with capacity 3,\nan edge from node 11 to node 15 with capacity 6,\nan edge from node 11 to node 12 with capacity 15,\nan edge from node 11 to node 8 with capacity 2,\nan edge from node 11 to node 3 with capacity 13,\nan edge from node 12 to node 0 with capacity 13,\nan edge from node 12 to node 4 with capacity 11,\nan edge from node 12 to node 2 with capacity 2,\nan edge from node 12 to node 15 with capacity 14,\nan edge from node 12 to node 6 with capacity 5,\nan edge from node 13 to node 4 with capacity 14,\nan edge from node 13 to node 2 with capacity 10,\nan edge from node 13 to node 15 with capacity 20,\nan edge from node 13 to node 8 with capacity 14,\nan edge from node 13 to node 3 with capacity 11,\nan edge from node 13 to node 1 with capacity 12,\nan edge from node 13 to node 11 with capacity 5,\nan edge from node 13 to node 6 with capacity 8,\nan edge from node 14 to node 10 with capacity 14,\nan edge from node 14 to node 4 with capacity 15,\nan edge from node 14 to node 12 with capacity 9,\nan edge from node 14 to node 3 with capacity 9,\nan edge from node 14 to node 13 with capacity 8,\nan edge from node 14 to node 6 with capacity 8,\nan edge from node 15 to node 10 with capacity 1,\nan edge from node 15 to node 4 with capacity 3,\nWhat is the maximum flow from node 15 to node 13:"
            },
            {
                "from": "gpt",
                "value": "4."
            }
        ]
    },
    {
        "id": "flow-hard-graph933",
        "image": "data/flow/graph_visual/hard/graph933.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 9 with capacity 19,\nan edge from node 0 to node 1 with capacity 17,\nan edge from node 0 to node 2 with capacity 4,\nan edge from node 0 to node 16 with capacity 16,\nan edge from node 0 to node 11 with capacity 10,\nan edge from node 0 to node 17 with capacity 20,\nan edge from node 1 to node 5 with capacity 14,\nan edge from node 1 to node 9 with capacity 10,\nan edge from node 1 to node 13 with capacity 12,\nan edge from node 2 to node 11 with capacity 12,\nan edge from node 2 to node 7 with capacity 8,\nan edge from node 2 to node 14 with capacity 4,\nan edge from node 2 to node 4 with capacity 8,\nan edge from node 3 to node 6 with capacity 18,\nan edge from node 3 to node 8 with capacity 16,\nan edge from node 3 to node 16 with capacity 19,\nan edge from node 3 to node 10 with capacity 8,\nan edge from node 3 to node 15 with capacity 10,\nan edge from node 3 to node 13 with capacity 17,\nan edge from node 4 to node 5 with capacity 18,\nan edge from node 4 to node 2 with capacity 19,\nan edge from node 4 to node 0 with capacity 5,\nan edge from node 5 to node 8 with capacity 6,\nan edge from node 5 to node 17 with capacity 1,\nan edge from node 6 to node 16 with capacity 14,\nan edge from node 6 to node 3 with capacity 6,\nan edge from node 6 to node 13 with capacity 4,\nan edge from node 6 to node 17 with capacity 18,\nan edge from node 7 to node 3 with capacity 2,\nan edge from node 7 to node 4 with capacity 17,\nan edge from node 7 to node 15 with capacity 7,\nan edge from node 7 to node 13 with capacity 6,\nan edge from node 8 to node 1 with capacity 20,\nan edge from node 8 to node 2 with capacity 18,\nan edge from node 8 to node 7 with capacity 18,\nan edge from node 8 to node 13 with capacity 3,\nan edge from node 9 to node 8 with capacity 2,\nan edge from node 9 to node 15 with capacity 10,\nan edge from node 10 to node 11 with capacity 19,\nan edge from node 10 to node 3 with capacity 11,\nan edge from node 11 to node 3 with capacity 5,\nan edge from node 12 to node 5 with capacity 11,\nan edge from node 12 to node 2 with capacity 18,\nan edge from node 12 to node 7 with capacity 9,\nan edge from node 12 to node 0 with capacity 6,\nan edge from node 12 to node 10 with capacity 12,\nan edge from node 13 to node 6 with capacity 8,\nan edge from node 13 to node 16 with capacity 17,\nan edge from node 13 to node 10 with capacity 19,\nan edge from node 14 to node 2 with capacity 14,\nan edge from node 14 to node 10 with capacity 16,\nan edge from node 15 to node 9 with capacity 5,\nan edge from node 15 to node 1 with capacity 17,\nan edge from node 15 to node 4 with capacity 5,\nan edge from node 16 to node 2 with capacity 10,\nan edge from node 16 to node 8 with capacity 12,\nan edge from node 16 to node 14 with capacity 10,\nan edge from node 16 to node 3 with capacity 9,\nan edge from node 16 to node 10 with capacity 1,\nan edge from node 17 to node 1 with capacity 5,\nan edge from node 17 to node 14 with capacity 11,\nWhat is the maximum flow from node 5 to node 17:"
            },
            {
                "from": "gpt",
                "value": "7."
            }
        ]
    },
    {
        "id": "flow-hard-graph263",
        "image": "data/flow/graph_visual/hard/graph263.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 4 with capacity 3,\nan edge from node 0 to node 12 with capacity 11,\nan edge from node 0 to node 1 with capacity 9,\nan edge from node 1 to node 2 with capacity 14,\nan edge from node 1 to node 3 with capacity 1,\nan edge from node 1 to node 6 with capacity 17,\nan edge from node 2 to node 12 with capacity 4,\nan edge from node 2 to node 5 with capacity 9,\nan edge from node 2 to node 10 with capacity 19,\nan edge from node 3 to node 2 with capacity 10,\nan edge from node 3 to node 8 with capacity 6,\nan edge from node 3 to node 12 with capacity 4,\nan edge from node 4 to node 7 with capacity 13,\nan edge from node 4 to node 11 with capacity 13,\nan edge from node 4 to node 12 with capacity 13,\nan edge from node 5 to node 6 with capacity 6,\nan edge from node 5 to node 12 with capacity 13,\nan edge from node 5 to node 1 with capacity 18,\nan edge from node 6 to node 7 with capacity 10,\nan edge from node 6 to node 0 with capacity 13,\nan edge from node 6 to node 5 with capacity 7,\nan edge from node 7 to node 2 with capacity 5,\nan edge from node 8 to node 3 with capacity 10,\nan edge from node 8 to node 9 with capacity 3,\nan edge from node 8 to node 4 with capacity 3,\nan edge from node 8 to node 12 with capacity 12,\nan edge from node 9 to node 0 with capacity 2,\nan edge from node 9 to node 12 with capacity 4,\nan edge from node 10 to node 4 with capacity 6,\nan edge from node 10 to node 5 with capacity 16,\nan edge from node 11 to node 7 with capacity 18,\nan edge from node 11 to node 12 with capacity 2,\nan edge from node 11 to node 5 with capacity 10,\nan edge from node 12 to node 10 with capacity 14,\nWhat is the maximum flow from node 0 to node 10:"
            },
            {
                "from": "gpt",
                "value": "23."
            }
        ]
    },
    {
        "id": "flow-hard-graph1009",
        "image": "data/flow/graph_visual/hard/graph1009.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 16 with capacity 9,\nan edge from node 0 to node 7 with capacity 10,\nan edge from node 0 to node 14 with capacity 11,\nan edge from node 0 to node 17 with capacity 7,\nan edge from node 0 to node 5 with capacity 11,\nan edge from node 0 to node 11 with capacity 19,\nan edge from node 1 to node 7 with capacity 3,\nan edge from node 1 to node 3 with capacity 20,\nan edge from node 1 to node 17 with capacity 18,\nan edge from node 2 to node 13 with capacity 17,\nan edge from node 2 to node 3 with capacity 18,\nan edge from node 2 to node 18 with capacity 4,\nan edge from node 2 to node 0 with capacity 11,\nan edge from node 3 to node 12 with capacity 19,\nan edge from node 3 to node 7 with capacity 4,\nan edge from node 3 to node 13 with capacity 19,\nan edge from node 3 to node 1 with capacity 15,\nan edge from node 3 to node 2 with capacity 8,\nan edge from node 4 to node 16 with capacity 18,\nan edge from node 4 to node 7 with capacity 1,\nan edge from node 4 to node 11 with capacity 9,\nan edge from node 4 to node 0 with capacity 15,\nan edge from node 5 to node 11 with capacity 4,\nan edge from node 5 to node 15 with capacity 6,\nan edge from node 5 to node 1 with capacity 8,\nan edge from node 5 to node 0 with capacity 9,\nan edge from node 6 to node 13 with capacity 8,\nan edge from node 6 to node 10 with capacity 2,\nan edge from node 6 to node 11 with capacity 1,\nan edge from node 6 to node 15 with capacity 2,\nan edge from node 6 to node 8 with capacity 18,\nan edge from node 6 to node 4 with capacity 2,\nan edge from node 7 to node 12 with capacity 11,\nan edge from node 7 to node 14 with capacity 5,\nan edge from node 7 to node 11 with capacity 7,\nan edge from node 8 to node 6 with capacity 17,\nan edge from node 9 to node 12 with capacity 2,\nan edge from node 9 to node 16 with capacity 3,\nan edge from node 9 to node 10 with capacity 14,\nan edge from node 9 to node 15 with capacity 1,\nan edge from node 9 to node 8 with capacity 19,\nan edge from node 9 to node 1 with capacity 18,\nan edge from node 9 to node 4 with capacity 14,\nan edge from node 10 to node 16 with capacity 8,\nan edge from node 10 to node 6 with capacity 2,\nan edge from node 10 to node 17 with capacity 17,\nan edge from node 10 to node 4 with capacity 6,\nan edge from node 10 to node 18 with capacity 9,\nan edge from node 10 to node 0 with capacity 12,\nan edge from node 11 to node 12 with capacity 4,\nan edge from node 11 to node 9 with capacity 3,\nan edge from node 11 to node 10 with capacity 13,\nan edge from node 11 to node 3 with capacity 19,\nan edge from node 11 to node 5 with capacity 12,\nan edge from node 11 to node 1 with capacity 9,\nan edge from node 11 to node 2 with capacity 2,\nan edge from node 12 to node 16 with capacity 18,\nan edge from node 12 to node 7 with capacity 17,\nan edge from node 12 to node 13 with capacity 11,\nan edge from node 12 to node 9 with capacity 7,\nan edge from node 12 to node 17 with capacity 3,\nan edge from node 12 to node 1 with capacity 7,\nan edge from node 12 to node 4 with capacity 17,\nan edge from node 13 to node 6 with capacity 4,\nan edge from node 13 to node 5 with capacity 16,\nan edge from node 13 to node 15 with capacity 2,\nan edge from node 13 to node 2 with capacity 14,\nan edge from node 13 to node 4 with capacity 8,\nan edge from node 13 to node 18 with capacity 1,\nan edge from node 13 to node 0 with capacity 15,\nan edge from node 14 to node 6 with capacity 20,\nan edge from node 14 to node 13 with capacity 3,\nan edge from node 14 to node 10 with capacity 6,\nan edge from node 14 to node 3 with capacity 18,\nan edge from node 14 to node 5 with capacity 8,\nan edge from node 14 to node 18 with capacity 2,\nan edge from node 15 to node 12 with capacity 8,\nan edge from node 15 to node 13 with capacity 17,\nan edge from node 15 to node 14 with capacity 11,\nan edge from node 15 to node 5 with capacity 7,\nan edge from node 15 to node 4 with capacity 8,\nan edge from node 16 to node 13 with capacity 12,\nan edge from node 16 to node 10 with capacity 8,\nan edge from node 16 to node 5 with capacity 3,\nan edge from node 16 to node 0 with capacity 14,\nan edge from node 17 to node 7 with capacity 11,\nan edge from node 17 to node 13 with capacity 8,\nan edge from node 17 to node 9 with capacity 5,\nan edge from node 17 to node 3 with capacity 19,\nan edge from node 17 to node 1 with capacity 5,\nan edge from node 17 to node 0 with capacity 15,\nan edge from node 18 to node 17 with capacity 13,\nan edge from node 18 to node 2 with capacity 7,\nWhat is the maximum flow from node 8 to node 10:"
            },
            {
                "from": "gpt",
                "value": "15."
            }
        ]
    },
    {
        "id": "flow-hard-graph10",
        "image": "data/flow/graph_visual/hard/graph10.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 1 with capacity 14,\nan edge from node 0 to node 2 with capacity 4,\nan edge from node 1 to node 6 with capacity 20,\nan edge from node 1 to node 7 with capacity 14,\nan edge from node 1 to node 0 with capacity 13,\nan edge from node 1 to node 10 with capacity 13,\nan edge from node 2 to node 7 with capacity 8,\nan edge from node 2 to node 1 with capacity 7,\nan edge from node 2 to node 3 with capacity 5,\nan edge from node 2 to node 10 with capacity 20,\nan edge from node 3 to node 4 with capacity 9,\nan edge from node 3 to node 6 with capacity 14,\nan edge from node 4 to node 9 with capacity 11,\nan edge from node 4 to node 7 with capacity 10,\nan edge from node 4 to node 0 with capacity 13,\nan edge from node 4 to node 2 with capacity 17,\nan edge from node 5 to node 4 with capacity 3,\nan edge from node 5 to node 7 with capacity 4,\nan edge from node 5 to node 0 with capacity 14,\nan edge from node 6 to node 9 with capacity 2,\nan edge from node 6 to node 1 with capacity 4,\nan edge from node 6 to node 2 with capacity 18,\nan edge from node 6 to node 3 with capacity 15,\nan edge from node 6 to node 5 with capacity 7,\nan edge from node 7 to node 4 with capacity 12,\nan edge from node 7 to node 3 with capacity 2,\nan edge from node 7 to node 10 with capacity 14,\nan edge from node 7 to node 5 with capacity 1,\nan edge from node 8 to node 9 with capacity 16,\nan edge from node 8 to node 0 with capacity 15,\nan edge from node 8 to node 2 with capacity 19,\nan edge from node 8 to node 10 with capacity 15,\nan edge from node 9 to node 2 with capacity 13,\nan edge from node 9 to node 3 with capacity 12,\nan edge from node 10 to node 9 with capacity 14,\nan edge from node 10 to node 8 with capacity 15,\nWhat is the maximum flow from node 5 to node 7:"
            },
            {
                "from": "gpt",
                "value": "21."
            }
        ]
    },
    {
        "id": "flow-hard-graph204",
        "image": "data/flow/graph_visual/hard/graph204.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 5 with capacity 11,\nan edge from node 0 to node 4 with capacity 17,\nan edge from node 0 to node 1 with capacity 3,\nan edge from node 0 to node 9 with capacity 6,\nan edge from node 1 to node 0 with capacity 16,\nan edge from node 1 to node 4 with capacity 15,\nan edge from node 2 to node 6 with capacity 5,\nan edge from node 2 to node 5 with capacity 7,\nan edge from node 2 to node 4 with capacity 13,\nan edge from node 2 to node 1 with capacity 5,\nan edge from node 3 to node 2 with capacity 13,\nan edge from node 3 to node 6 with capacity 16,\nan edge from node 4 to node 8 with capacity 5,\nan edge from node 4 to node 2 with capacity 7,\nan edge from node 4 to node 6 with capacity 2,\nan edge from node 5 to node 0 with capacity 7,\nan edge from node 5 to node 6 with capacity 19,\nan edge from node 5 to node 10 with capacity 18,\nan edge from node 5 to node 9 with capacity 8,\nan edge from node 6 to node 0 with capacity 15,\nan edge from node 6 to node 10 with capacity 7,\nan edge from node 7 to node 3 with capacity 20,\nan edge from node 7 to node 8 with capacity 7,\nan edge from node 7 to node 2 with capacity 12,\nan edge from node 7 to node 6 with capacity 1,\nan edge from node 7 to node 1 with capacity 8,\nan edge from node 8 to node 7 with capacity 19,\nan edge from node 8 to node 0 with capacity 6,\nan edge from node 8 to node 11 with capacity 10,\nan edge from node 9 to node 11 with capacity 14,\nan edge from node 10 to node 9 with capacity 6,\nan edge from node 10 to node 11 with capacity 2,\nan edge from node 11 to node 7 with capacity 17,\nan edge from node 11 to node 8 with capacity 11,\nan edge from node 11 to node 5 with capacity 14,\nan edge from node 11 to node 9 with capacity 14,\nWhat is the maximum flow from node 1 to node 11:"
            },
            {
                "from": "gpt",
                "value": "21."
            }
        ]
    },
    {
        "id": "flow-hard-graph261",
        "image": "data/flow/graph_visual/hard/graph261.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 6 with capacity 2,\nan edge from node 0 to node 12 with capacity 17,\nan edge from node 1 to node 0 with capacity 4,\nan edge from node 1 to node 6 with capacity 10,\nan edge from node 1 to node 8 with capacity 9,\nan edge from node 1 to node 3 with capacity 4,\nan edge from node 1 to node 7 with capacity 12,\nan edge from node 2 to node 6 with capacity 4,\nan edge from node 2 to node 8 with capacity 11,\nan edge from node 3 to node 0 with capacity 8,\nan edge from node 3 to node 10 with capacity 9,\nan edge from node 3 to node 12 with capacity 2,\nan edge from node 3 to node 2 with capacity 10,\nan edge from node 4 to node 5 with capacity 18,\nan edge from node 4 to node 3 with capacity 16,\nan edge from node 4 to node 12 with capacity 20,\nan edge from node 4 to node 2 with capacity 17,\nan edge from node 5 to node 0 with capacity 13,\nan edge from node 5 to node 1 with capacity 7,\nan edge from node 5 to node 10 with capacity 3,\nan edge from node 5 to node 8 with capacity 7,\nan edge from node 5 to node 11 with capacity 4,\nan edge from node 6 to node 8 with capacity 17,\nan edge from node 6 to node 4 with capacity 4,\nan edge from node 7 to node 6 with capacity 9,\nan edge from node 8 to node 0 with capacity 16,\nan edge from node 8 to node 5 with capacity 14,\nan edge from node 8 to node 6 with capacity 7,\nan edge from node 8 to node 4 with capacity 13,\nan edge from node 9 to node 8 with capacity 20,\nan edge from node 9 to node 4 with capacity 3,\nan edge from node 10 to node 3 with capacity 8,\nan edge from node 10 to node 12 with capacity 20,\nan edge from node 11 to node 9 with capacity 19,\nan edge from node 11 to node 1 with capacity 1,\nan edge from node 11 to node 5 with capacity 3,\nan edge from node 11 to node 6 with capacity 11,\nan edge from node 11 to node 8 with capacity 3,\nan edge from node 12 to node 7 with capacity 8,\nWhat is the maximum flow from node 7 to node 0:"
            },
            {
                "from": "gpt",
                "value": "9."
            }
        ]
    },
    {
        "id": "flow-hard-graph203",
        "image": "data/flow/graph_visual/hard/graph203.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 4 with capacity 17,\nan edge from node 0 to node 6 with capacity 9,\nan edge from node 0 to node 1 with capacity 16,\nan edge from node 1 to node 9 with capacity 17,\nan edge from node 1 to node 10 with capacity 12,\nan edge from node 1 to node 2 with capacity 19,\nan edge from node 2 to node 0 with capacity 11,\nan edge from node 2 to node 9 with capacity 13,\nan edge from node 2 to node 8 with capacity 3,\nan edge from node 2 to node 1 with capacity 13,\nan edge from node 3 to node 4 with capacity 12,\nan edge from node 3 to node 2 with capacity 9,\nan edge from node 3 to node 1 with capacity 20,\nan edge from node 4 to node 0 with capacity 19,\nan edge from node 4 to node 11 with capacity 14,\nan edge from node 4 to node 1 with capacity 15,\nan edge from node 5 to node 3 with capacity 7,\nan edge from node 5 to node 8 with capacity 11,\nan edge from node 7 to node 0 with capacity 15,\nan edge from node 7 to node 9 with capacity 2,\nan edge from node 7 to node 6 with capacity 11,\nan edge from node 7 to node 5 with capacity 5,\nan edge from node 8 to node 7 with capacity 4,\nan edge from node 8 to node 4 with capacity 1,\nan edge from node 8 to node 6 with capacity 4,\nan edge from node 8 to node 5 with capacity 13,\nan edge from node 8 to node 1 with capacity 18,\nan edge from node 9 to node 10 with capacity 19,\nan edge from node 9 to node 2 with capacity 12,\nan edge from node 9 to node 5 with capacity 11,\nan edge from node 9 to node 1 with capacity 18,\nan edge from node 10 to node 7 with capacity 20,\nan edge from node 10 to node 5 with capacity 8,\nan edge from node 11 to node 7 with capacity 19,\nan edge from node 11 to node 2 with capacity 12,\nan edge from node 11 to node 5 with capacity 10,\nan edge from node 11 to node 1 with capacity 1,\nWhat is the maximum flow from node 11 to node 2:"
            },
            {
                "from": "gpt",
                "value": "42."
            }
        ]
    },
    {
        "id": "flow-hard-graph896",
        "image": "data/flow/graph_visual/hard/graph896.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 3 with capacity 17,\nan edge from node 0 to node 16 with capacity 9,\nan edge from node 0 to node 6 with capacity 3,\nan edge from node 1 to node 13 with capacity 15,\nan edge from node 1 to node 10 with capacity 1,\nan edge from node 1 to node 6 with capacity 11,\nan edge from node 2 to node 17 with capacity 20,\nan edge from node 2 to node 3 with capacity 11,\nan edge from node 2 to node 15 with capacity 20,\nan edge from node 2 to node 16 with capacity 7,\nan edge from node 3 to node 11 with capacity 5,\nan edge from node 3 to node 7 with capacity 14,\nan edge from node 3 to node 2 with capacity 3,\nan edge from node 3 to node 16 with capacity 10,\nan edge from node 3 to node 9 with capacity 18,\nan edge from node 3 to node 6 with capacity 13,\nan edge from node 4 to node 11 with capacity 4,\nan edge from node 4 to node 10 with capacity 8,\nan edge from node 4 to node 8 with capacity 19,\nan edge from node 4 to node 14 with capacity 5,\nan edge from node 5 to node 10 with capacity 1,\nan edge from node 5 to node 15 with capacity 7,\nan edge from node 5 to node 2 with capacity 18,\nan edge from node 5 to node 6 with capacity 12,\nan edge from node 6 to node 1 with capacity 16,\nan edge from node 6 to node 3 with capacity 18,\nan edge from node 6 to node 12 with capacity 15,\nan edge from node 6 to node 16 with capacity 7,\nan edge from node 6 to node 4 with capacity 16,\nan edge from node 7 to node 3 with capacity 3,\nan edge from node 7 to node 15 with capacity 7,\nan edge from node 8 to node 11 with capacity 4,\nan edge from node 8 to node 3 with capacity 15,\nan edge from node 8 to node 16 with capacity 10,\nan edge from node 8 to node 14 with capacity 14,\nan edge from node 9 to node 1 with capacity 2,\nan edge from node 9 to node 16 with capacity 11,\nan edge from node 9 to node 4 with capacity 18,\nan edge from node 10 to node 17 with capacity 17,\nan edge from node 10 to node 13 with capacity 2,\nan edge from node 10 to node 3 with capacity 20,\nan edge from node 10 to node 0 with capacity 13,\nan edge from node 10 to node 8 with capacity 20,\nan edge from node 10 to node 6 with capacity 4,\nan edge from node 11 to node 17 with capacity 1,\nan edge from node 11 to node 7 with capacity 2,\nan edge from node 11 to node 12 with capacity 13,\nan edge from node 11 to node 6 with capacity 2,\nan edge from node 11 to node 14 with capacity 4,\nan edge from node 12 to node 7 with capacity 5,\nan edge from node 12 to node 16 with capacity 14,\nan edge from node 13 to node 17 with capacity 18,\nan edge from node 13 to node 15 with capacity 12,\nan edge from node 13 to node 12 with capacity 20,\nan edge from node 13 to node 16 with capacity 17,\nan edge from node 13 to node 6 with capacity 17,\nan edge from node 14 to node 3 with capacity 12,\nan edge from node 14 to node 0 with capacity 18,\nan edge from node 14 to node 10 with capacity 6,\nan edge from node 14 to node 12 with capacity 3,\nan edge from node 15 to node 8 with capacity 6,\nan edge from node 15 to node 2 with capacity 5,\nan edge from node 15 to node 16 with capacity 17,\nan edge from node 15 to node 14 with capacity 18,\nan edge from node 16 to node 10 with capacity 12,\nan edge from node 16 to node 6 with capacity 12,\nan edge from node 16 to node 4 with capacity 6,\nan edge from node 17 to node 11 with capacity 9,\nan edge from node 17 to node 13 with capacity 4,\nan edge from node 17 to node 3 with capacity 18,\nan edge from node 17 to node 8 with capacity 3,\nWhat is the maximum flow from node 9 to node 13:"
            },
            {
                "from": "gpt",
                "value": "21."
            }
        ]
    },
    {
        "id": "flow-hard-graph926",
        "image": "data/flow/graph_visual/hard/graph926.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 16 with capacity 12,\nan edge from node 0 to node 5 with capacity 8,\nan edge from node 0 to node 6 with capacity 10,\nan edge from node 0 to node 14 with capacity 5,\nan edge from node 1 to node 13 with capacity 16,\nan edge from node 1 to node 2 with capacity 17,\nan edge from node 1 to node 14 with capacity 10,\nan edge from node 1 to node 7 with capacity 17,\nan edge from node 1 to node 9 with capacity 1,\nan edge from node 2 to node 13 with capacity 5,\nan edge from node 2 to node 6 with capacity 7,\nan edge from node 2 to node 14 with capacity 19,\nan edge from node 2 to node 12 with capacity 6,\nan edge from node 3 to node 8 with capacity 7,\nan edge from node 3 to node 5 with capacity 2,\nan edge from node 3 to node 4 with capacity 1,\nan edge from node 3 to node 6 with capacity 13,\nan edge from node 3 to node 17 with capacity 3,\nan edge from node 4 to node 8 with capacity 2,\nan edge from node 4 to node 5 with capacity 2,\nan edge from node 4 to node 10 with capacity 12,\nan edge from node 4 to node 7 with capacity 5,\nan edge from node 4 to node 3 with capacity 5,\nan edge from node 4 to node 15 with capacity 20,\nan edge from node 5 to node 16 with capacity 14,\nan edge from node 5 to node 4 with capacity 1,\nan edge from node 5 to node 2 with capacity 20,\nan edge from node 5 to node 6 with capacity 17,\nan edge from node 5 to node 10 with capacity 10,\nan edge from node 5 to node 11 with capacity 11,\nan edge from node 5 to node 3 with capacity 1,\nan edge from node 5 to node 12 with capacity 16,\nan edge from node 5 to node 15 with capacity 7,\nan edge from node 6 to node 12 with capacity 1,\nan edge from node 7 to node 13 with capacity 15,\nan edge from node 7 to node 5 with capacity 5,\nan edge from node 7 to node 0 with capacity 6,\nan edge from node 7 to node 15 with capacity 12,\nan edge from node 8 to node 10 with capacity 6,\nan edge from node 8 to node 11 with capacity 16,\nan edge from node 8 to node 0 with capacity 14,\nan edge from node 8 to node 12 with capacity 14,\nan edge from node 8 to node 15 with capacity 18,\nan edge from node 8 to node 17 with capacity 9,\nan edge from node 9 to node 16 with capacity 18,\nan edge from node 9 to node 6 with capacity 1,\nan edge from node 10 to node 8 with capacity 17,\nan edge from node 10 to node 5 with capacity 8,\nan edge from node 10 to node 0 with capacity 12,\nan edge from node 10 to node 1 with capacity 17,\nan edge from node 10 to node 17 with capacity 4,\nan edge from node 11 to node 16 with capacity 8,\nan edge from node 12 to node 8 with capacity 4,\nan edge from node 12 to node 5 with capacity 15,\nan edge from node 12 to node 10 with capacity 2,\nan edge from node 12 to node 17 with capacity 4,\nan edge from node 13 to node 16 with capacity 6,\nan edge from node 13 to node 4 with capacity 1,\nan edge from node 13 to node 7 with capacity 20,\nan edge from node 13 to node 9 with capacity 6,\nan edge from node 13 to node 3 with capacity 16,\nan edge from node 13 to node 15 with capacity 14,\nan edge from node 14 to node 16 with capacity 14,\nan edge from node 14 to node 0 with capacity 12,\nan edge from node 14 to node 3 with capacity 3,\nan edge from node 14 to node 15 with capacity 14,\nan edge from node 14 to node 17 with capacity 12,\nan edge from node 15 to node 8 with capacity 20,\nan edge from node 15 to node 13 with capacity 14,\nan edge from node 15 to node 0 with capacity 18,\nan edge from node 15 to node 12 with capacity 20,\nan edge from node 16 to node 13 with capacity 5,\nan edge from node 16 to node 10 with capacity 13,\nan edge from node 16 to node 7 with capacity 6,\nan edge from node 16 to node 1 with capacity 16,\nan edge from node 16 to node 17 with capacity 8,\nan edge from node 17 to node 16 with capacity 16,\nan edge from node 17 to node 13 with capacity 16,\nan edge from node 17 to node 4 with capacity 4,\nan edge from node 17 to node 6 with capacity 4,\nan edge from node 17 to node 11 with capacity 11,\nan edge from node 17 to node 12 with capacity 10,\nWhat is the maximum flow from node 14 to node 10:"
            },
            {
                "from": "gpt",
                "value": "38."
            }
        ]
    },
    {
        "id": "flow-hard-graph149",
        "image": "data/flow/graph_visual/hard/graph149.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 4 with capacity 14,\nan edge from node 0 to node 9 with capacity 16,\nan edge from node 1 to node 8 with capacity 4,\nan edge from node 1 to node 4 with capacity 19,\nan edge from node 1 to node 0 with capacity 12,\nan edge from node 1 to node 3 with capacity 9,\nan edge from node 2 to node 8 with capacity 18,\nan edge from node 2 to node 7 with capacity 17,\nan edge from node 2 to node 0 with capacity 16,\nan edge from node 2 to node 3 with capacity 5,\nan edge from node 3 to node 4 with capacity 17,\nan edge from node 3 to node 10 with capacity 4,\nan edge from node 3 to node 0 with capacity 16,\nan edge from node 4 to node 0 with capacity 19,\nan edge from node 4 to node 11 with capacity 9,\nan edge from node 5 to node 3 with capacity 15,\nan edge from node 5 to node 1 with capacity 10,\nan edge from node 5 to node 11 with capacity 1,\nan edge from node 6 to node 4 with capacity 10,\nan edge from node 6 to node 10 with capacity 13,\nan edge from node 6 to node 3 with capacity 10,\nan edge from node 6 to node 9 with capacity 20,\nan edge from node 7 to node 10 with capacity 3,\nan edge from node 7 to node 6 with capacity 7,\nan edge from node 7 to node 5 with capacity 6,\nan edge from node 8 to node 4 with capacity 6,\nan edge from node 8 to node 2 with capacity 1,\nan edge from node 8 to node 6 with capacity 1,\nan edge from node 9 to node 7 with capacity 11,\nan edge from node 9 to node 6 with capacity 19,\nan edge from node 10 to node 8 with capacity 2,\nan edge from node 10 to node 7 with capacity 8,\nan edge from node 10 to node 0 with capacity 9,\nan edge from node 10 to node 6 with capacity 16,\nan edge from node 10 to node 9 with capacity 7,\nan edge from node 10 to node 11 with capacity 15,\nan edge from node 11 to node 4 with capacity 3,\nan edge from node 11 to node 7 with capacity 2,\nan edge from node 11 to node 6 with capacity 17,\nan edge from node 11 to node 5 with capacity 8,\nWhat is the maximum flow from node 0 to node 9:"
            },
            {
                "from": "gpt",
                "value": "25."
            }
        ]
    },
    {
        "id": "flow-hard-graph555",
        "image": "data/flow/graph_visual/hard/graph555.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 7 with capacity 5,\nan edge from node 0 to node 10 with capacity 4,\nan edge from node 0 to node 3 with capacity 14,\nan edge from node 3 to node 9 with capacity 4,\nan edge from node 3 to node 11 with capacity 7,\nan edge from node 3 to node 6 with capacity 1,\nan edge from node 4 to node 1 with capacity 12,\nan edge from node 4 to node 14 with capacity 20,\nan edge from node 5 to node 9 with capacity 18,\nan edge from node 5 to node 2 with capacity 1,\nan edge from node 5 to node 14 with capacity 5,\nan edge from node 5 to node 8 with capacity 10,\nan edge from node 6 to node 13 with capacity 6,\nan edge from node 6 to node 9 with capacity 20,\nan edge from node 6 to node 4 with capacity 2,\nan edge from node 6 to node 10 with capacity 13,\nan edge from node 6 to node 8 with capacity 20,\nan edge from node 7 to node 1 with capacity 19,\nan edge from node 7 to node 9 with capacity 18,\nan edge from node 7 to node 2 with capacity 16,\nan edge from node 7 to node 14 with capacity 3,\nan edge from node 8 to node 11 with capacity 16,\nan edge from node 8 to node 12 with capacity 18,\nan edge from node 8 to node 14 with capacity 19,\nan edge from node 9 to node 13 with capacity 2,\nan edge from node 9 to node 4 with capacity 10,\nan edge from node 9 to node 7 with capacity 19,\nan edge from node 9 to node 8 with capacity 14,\nan edge from node 10 to node 9 with capacity 14,\nan edge from node 10 to node 12 with capacity 5,\nan edge from node 10 to node 2 with capacity 19,\nan edge from node 10 to node 0 with capacity 3,\nan edge from node 10 to node 8 with capacity 4,\nan edge from node 11 to node 7 with capacity 19,\nan edge from node 11 to node 10 with capacity 15,\nan edge from node 11 to node 0 with capacity 13,\nan edge from node 12 to node 13 with capacity 15,\nan edge from node 12 to node 9 with capacity 3,\nan edge from node 12 to node 11 with capacity 3,\nan edge from node 12 to node 7 with capacity 15,\nan edge from node 12 to node 10 with capacity 11,\nan edge from node 12 to node 2 with capacity 7,\nan edge from node 13 to node 5 with capacity 14,\nan edge from node 14 to node 9 with capacity 10,\nan edge from node 14 to node 4 with capacity 18,\nan edge from node 14 to node 10 with capacity 5,\nan edge from node 14 to node 3 with capacity 1,\nWhat is the maximum flow from node 12 to node 5:"
            },
            {
                "from": "gpt",
                "value": "14."
            }
        ]
    },
    {
        "id": "flow-hard-graph510",
        "image": "data/flow/graph_visual/hard/graph510.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 5 with capacity 3,\nan edge from node 0 to node 10 with capacity 12,\nan edge from node 0 to node 13 with capacity 5,\nan edge from node 1 to node 5 with capacity 14,\nan edge from node 1 to node 10 with capacity 14,\nan edge from node 1 to node 9 with capacity 2,\nan edge from node 1 to node 6 with capacity 8,\nan edge from node 2 to node 7 with capacity 19,\nan edge from node 2 to node 9 with capacity 17,\nan edge from node 2 to node 8 with capacity 8,\nan edge from node 2 to node 11 with capacity 2,\nan edge from node 2 to node 4 with capacity 20,\nan edge from node 3 to node 7 with capacity 13,\nan edge from node 3 to node 1 with capacity 9,\nan edge from node 3 to node 9 with capacity 15,\nan edge from node 3 to node 14 with capacity 18,\nan edge from node 4 to node 2 with capacity 6,\nan edge from node 5 to node 1 with capacity 7,\nan edge from node 5 to node 9 with capacity 2,\nan edge from node 5 to node 2 with capacity 11,\nan edge from node 5 to node 11 with capacity 16,\nan edge from node 6 to node 1 with capacity 11,\nan edge from node 6 to node 9 with capacity 1,\nan edge from node 7 to node 1 with capacity 7,\nan edge from node 7 to node 12 with capacity 7,\nan edge from node 7 to node 3 with capacity 15,\nan edge from node 7 to node 9 with capacity 16,\nan edge from node 7 to node 0 with capacity 17,\nan edge from node 7 to node 8 with capacity 15,\nan edge from node 8 to node 4 with capacity 7,\nan edge from node 9 to node 7 with capacity 12,\nan edge from node 9 to node 10 with capacity 5,\nan edge from node 9 to node 14 with capacity 12,\nan edge from node 9 to node 11 with capacity 10,\nan edge from node 10 to node 1 with capacity 14,\nan edge from node 10 to node 2 with capacity 19,\nan edge from node 10 to node 6 with capacity 14,\nan edge from node 10 to node 11 with capacity 13,\nan edge from node 11 to node 9 with capacity 18,\nan edge from node 11 to node 2 with capacity 8,\nan edge from node 11 to node 8 with capacity 3,\nan edge from node 12 to node 3 with capacity 2,\nan edge from node 12 to node 14 with capacity 9,\nan edge from node 12 to node 11 with capacity 4,\nan edge from node 13 to node 5 with capacity 8,\nan edge from node 13 to node 14 with capacity 3,\nan edge from node 13 to node 11 with capacity 15,\nan edge from node 14 to node 1 with capacity 7,\nan edge from node 14 to node 10 with capacity 1,\nan edge from node 14 to node 6 with capacity 3,\nan edge from node 14 to node 8 with capacity 5,\nWhat is the maximum flow from node 6 to node 7:"
            },
            {
                "from": "gpt",
                "value": "12."
            }
        ]
    },
    {
        "id": "flow-hard-graph935",
        "image": "data/flow/graph_visual/hard/graph935.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 13 with capacity 4,\nan edge from node 0 to node 1 with capacity 6,\nan edge from node 1 to node 3 with capacity 2,\nan edge from node 1 to node 10 with capacity 18,\nan edge from node 1 to node 6 with capacity 20,\nan edge from node 1 to node 14 with capacity 19,\nan edge from node 1 to node 7 with capacity 14,\nan edge from node 2 to node 9 with capacity 2,\nan edge from node 2 to node 11 with capacity 14,\nan edge from node 2 to node 16 with capacity 15,\nan edge from node 2 to node 3 with capacity 6,\nan edge from node 2 to node 0 with capacity 12,\nan edge from node 2 to node 7 with capacity 18,\nan edge from node 3 to node 16 with capacity 13,\nan edge from node 3 to node 1 with capacity 12,\nan edge from node 3 to node 12 with capacity 18,\nan edge from node 4 to node 13 with capacity 17,\nan edge from node 4 to node 0 with capacity 16,\nan edge from node 5 to node 9 with capacity 9,\nan edge from node 5 to node 16 with capacity 4,\nan edge from node 6 to node 15 with capacity 10,\nan edge from node 6 to node 13 with capacity 3,\nan edge from node 6 to node 8 with capacity 12,\nan edge from node 6 to node 3 with capacity 17,\nan edge from node 6 to node 1 with capacity 8,\nan edge from node 6 to node 12 with capacity 2,\nan edge from node 6 to node 4 with capacity 17,\nan edge from node 6 to node 5 with capacity 19,\nan edge from node 7 to node 9 with capacity 15,\nan edge from node 7 to node 15 with capacity 4,\nan edge from node 7 to node 8 with capacity 8,\nan edge from node 7 to node 16 with capacity 8,\nan edge from node 8 to node 16 with capacity 3,\nan edge from node 8 to node 10 with capacity 10,\nan edge from node 9 to node 15 with capacity 14,\nan edge from node 9 to node 8 with capacity 4,\nan edge from node 9 to node 11 with capacity 6,\nan edge from node 9 to node 16 with capacity 18,\nan edge from node 9 to node 1 with capacity 16,\nan edge from node 9 to node 4 with capacity 12,\nan edge from node 9 to node 14 with capacity 6,\nan edge from node 10 to node 8 with capacity 6,\nan edge from node 10 to node 11 with capacity 13,\nan edge from node 10 to node 3 with capacity 12,\nan edge from node 10 to node 6 with capacity 12,\nan edge from node 11 to node 16 with capacity 2,\nan edge from node 11 to node 0 with capacity 18,\nan edge from node 11 to node 5 with capacity 11,\nan edge from node 12 to node 9 with capacity 16,\nan edge from node 12 to node 1 with capacity 17,\nan edge from node 12 to node 2 with capacity 9,\nan edge from node 12 to node 4 with capacity 4,\nan edge from node 13 to node 9 with capacity 7,\nan edge from node 13 to node 15 with capacity 10,\nan edge from node 13 to node 0 with capacity 18,\nan edge from node 13 to node 5 with capacity 13,\nan edge from node 14 to node 9 with capacity 6,\nan edge from node 14 to node 8 with capacity 16,\nan edge from node 14 to node 1 with capacity 11,\nan edge from node 14 to node 0 with capacity 16,\nan edge from node 14 to node 2 with capacity 6,\nan edge from node 14 to node 5 with capacity 2,\nan edge from node 14 to node 7 with capacity 5,\nan edge from node 15 to node 13 with capacity 5,\nan edge from node 15 to node 16 with capacity 16,\nan edge from node 15 to node 5 with capacity 12,\nan edge from node 15 to node 7 with capacity 5,\nan edge from node 16 to node 13 with capacity 16,\nan edge from node 16 to node 8 with capacity 5,\nan edge from node 16 to node 0 with capacity 7,\nan edge from node 16 to node 6 with capacity 19,\nan edge from node 16 to node 7 with capacity 15,\nan edge from node 17 to node 11 with capacity 10,\nan edge from node 17 to node 3 with capacity 2,\nan edge from node 17 to node 1 with capacity 13,\nan edge from node 17 to node 6 with capacity 8,\nan edge from node 17 to node 5 with capacity 13,\nWhat is the maximum flow from node 13 to node 10:"
            },
            {
                "from": "gpt",
                "value": "28."
            }
        ]
    },
    {
        "id": "flow-hard-graph353",
        "image": "data/flow/graph_visual/hard/graph353.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 6 with capacity 2,\nan edge from node 0 to node 4 with capacity 3,\nan edge from node 1 to node 8 with capacity 3,\nan edge from node 1 to node 10 with capacity 18,\nan edge from node 1 to node 7 with capacity 5,\nan edge from node 1 to node 12 with capacity 18,\nan edge from node 2 to node 10 with capacity 2,\nan edge from node 2 to node 12 with capacity 3,\nan edge from node 2 to node 0 with capacity 17,\nan edge from node 2 to node 4 with capacity 15,\nan edge from node 3 to node 5 with capacity 18,\nan edge from node 3 to node 10 with capacity 17,\nan edge from node 3 to node 6 with capacity 13,\nan edge from node 3 to node 12 with capacity 11,\nan edge from node 3 to node 11 with capacity 11,\nan edge from node 4 to node 10 with capacity 12,\nan edge from node 4 to node 12 with capacity 15,\nan edge from node 4 to node 11 with capacity 3,\nan edge from node 5 to node 2 with capacity 12,\nan edge from node 5 to node 7 with capacity 9,\nan edge from node 5 to node 12 with capacity 11,\nan edge from node 5 to node 4 with capacity 14,\nan edge from node 6 to node 8 with capacity 13,\nan edge from node 6 to node 7 with capacity 4,\nan edge from node 6 to node 12 with capacity 15,\nan edge from node 6 to node 1 with capacity 6,\nan edge from node 6 to node 9 with capacity 1,\nan edge from node 6 to node 11 with capacity 2,\nan edge from node 7 to node 5 with capacity 20,\nan edge from node 7 to node 0 with capacity 1,\nan edge from node 8 to node 10 with capacity 13,\nan edge from node 8 to node 3 with capacity 7,\nan edge from node 8 to node 7 with capacity 6,\nan edge from node 8 to node 1 with capacity 13,\nan edge from node 9 to node 5 with capacity 14,\nan edge from node 9 to node 8 with capacity 13,\nan edge from node 9 to node 2 with capacity 20,\nan edge from node 9 to node 6 with capacity 13,\nan edge from node 9 to node 12 with capacity 6,\nan edge from node 10 to node 6 with capacity 6,\nan edge from node 10 to node 1 with capacity 8,\nan edge from node 11 to node 3 with capacity 16,\nan edge from node 11 to node 7 with capacity 2,\nan edge from node 11 to node 12 with capacity 4,\nan edge from node 11 to node 9 with capacity 6,\nWhat is the maximum flow from node 4 to node 11:"
            },
            {
                "from": "gpt",
                "value": "12."
            }
        ]
    },
    {
        "id": "flow-hard-graph727",
        "image": "data/flow/graph_visual/hard/graph727.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 4 with capacity 9,\nan edge from node 0 to node 7 with capacity 17,\nan edge from node 0 to node 14 with capacity 15,\nan edge from node 0 to node 5 with capacity 17,\nan edge from node 1 to node 15 with capacity 10,\nan edge from node 1 to node 10 with capacity 16,\nan edge from node 1 to node 6 with capacity 11,\nan edge from node 1 to node 12 with capacity 7,\nan edge from node 2 to node 10 with capacity 17,\nan edge from node 2 to node 11 with capacity 20,\nan edge from node 2 to node 5 with capacity 6,\nan edge from node 3 to node 1 with capacity 18,\nan edge from node 3 to node 2 with capacity 1,\nan edge from node 3 to node 0 with capacity 4,\nan edge from node 3 to node 11 with capacity 2,\nan edge from node 4 to node 16 with capacity 5,\nan edge from node 4 to node 12 with capacity 20,\nan edge from node 4 to node 5 with capacity 11,\nan edge from node 5 to node 4 with capacity 11,\nan edge from node 5 to node 7 with capacity 5,\nan edge from node 5 to node 2 with capacity 9,\nan edge from node 5 to node 0 with capacity 12,\nan edge from node 6 to node 1 with capacity 7,\nan edge from node 6 to node 10 with capacity 8,\nan edge from node 6 to node 2 with capacity 9,\nan edge from node 6 to node 0 with capacity 17,\nan edge from node 6 to node 5 with capacity 16,\nan edge from node 7 to node 13 with capacity 4,\nan edge from node 7 to node 6 with capacity 6,\nan edge from node 8 to node 15 with capacity 7,\nan edge from node 8 to node 10 with capacity 18,\nan edge from node 8 to node 13 with capacity 16,\nan edge from node 9 to node 7 with capacity 19,\nan edge from node 9 to node 3 with capacity 6,\nan edge from node 9 to node 13 with capacity 8,\nan edge from node 9 to node 5 with capacity 20,\nan edge from node 10 to node 16 with capacity 11,\nan edge from node 10 to node 11 with capacity 15,\nan edge from node 10 to node 12 with capacity 11,\nan edge from node 10 to node 5 with capacity 19,\nan edge from node 11 to node 4 with capacity 16,\nan edge from node 11 to node 10 with capacity 18,\nan edge from node 11 to node 2 with capacity 8,\nan edge from node 11 to node 13 with capacity 3,\nan edge from node 12 to node 14 with capacity 2,\nan edge from node 13 to node 1 with capacity 8,\nan edge from node 13 to node 4 with capacity 13,\nan edge from node 13 to node 15 with capacity 12,\nan edge from node 13 to node 16 with capacity 12,\nan edge from node 13 to node 9 with capacity 6,\nan edge from node 14 to node 4 with capacity 8,\nan edge from node 14 to node 2 with capacity 20,\nan edge from node 14 to node 13 with capacity 1,\nan edge from node 14 to node 9 with capacity 11,\nan edge from node 14 to node 6 with capacity 13,\nan edge from node 14 to node 8 with capacity 3,\nan edge from node 14 to node 5 with capacity 16,\nan edge from node 15 to node 10 with capacity 8,\nan edge from node 15 to node 8 with capacity 6,\nan edge from node 16 to node 7 with capacity 5,\nWhat is the maximum flow from node 15 to node 4:"
            },
            {
                "from": "gpt",
                "value": "14."
            }
        ]
    },
    {
        "id": "flow-hard-graph616",
        "image": "data/flow/graph_visual/hard/graph616.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 5 with capacity 6,\nan edge from node 0 to node 6 with capacity 12,\nan edge from node 1 to node 2 with capacity 17,\nan edge from node 1 to node 15 with capacity 11,\nan edge from node 1 to node 8 with capacity 18,\nan edge from node 1 to node 9 with capacity 4,\nan edge from node 2 to node 11 with capacity 8,\nan edge from node 2 to node 7 with capacity 19,\nan edge from node 2 to node 6 with capacity 10,\nan edge from node 2 to node 8 with capacity 6,\nan edge from node 3 to node 7 with capacity 11,\nan edge from node 3 to node 13 with capacity 17,\nan edge from node 4 to node 11 with capacity 3,\nan edge from node 4 to node 2 with capacity 3,\nan edge from node 4 to node 5 with capacity 1,\nan edge from node 5 to node 7 with capacity 1,\nan edge from node 5 to node 1 with capacity 17,\nan edge from node 5 to node 15 with capacity 18,\nan edge from node 5 to node 9 with capacity 11,\nan edge from node 6 to node 14 with capacity 19,\nan edge from node 6 to node 10 with capacity 3,\nan edge from node 6 to node 15 with capacity 9,\nan edge from node 6 to node 8 with capacity 15,\nan edge from node 7 to node 2 with capacity 16,\nan edge from node 7 to node 3 with capacity 11,\nan edge from node 8 to node 7 with capacity 15,\nan edge from node 8 to node 5 with capacity 8,\nan edge from node 8 to node 15 with capacity 1,\nan edge from node 9 to node 10 with capacity 14,\nan edge from node 10 to node 12 with capacity 9,\nan edge from node 10 to node 6 with capacity 19,\nan edge from node 10 to node 4 with capacity 1,\nan edge from node 11 to node 5 with capacity 7,\nan edge from node 11 to node 13 with capacity 12,\nan edge from node 11 to node 10 with capacity 10,\nan edge from node 12 to node 2 with capacity 4,\nan edge from node 12 to node 15 with capacity 1,\nan edge from node 14 to node 12 with capacity 6,\nan edge from node 14 to node 7 with capacity 20,\nan edge from node 14 to node 6 with capacity 19,\nan edge from node 14 to node 4 with capacity 10,\nan edge from node 15 to node 2 with capacity 2,\nan edge from node 15 to node 1 with capacity 2,\nan edge from node 15 to node 9 with capacity 6,\nWhat is the maximum flow from node 8 to node 3:"
            },
            {
                "from": "gpt",
                "value": "11."
            }
        ]
    },
    {
        "id": "flow-hard-graph809",
        "image": "data/flow/graph_visual/hard/graph809.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 14 with capacity 13,\nan edge from node 0 to node 5 with capacity 6,\nan edge from node 0 to node 16 with capacity 12,\nan edge from node 0 to node 6 with capacity 12,\nan edge from node 1 to node 10 with capacity 11,\nan edge from node 1 to node 2 with capacity 11,\nan edge from node 1 to node 4 with capacity 10,\nan edge from node 1 to node 13 with capacity 9,\nan edge from node 2 to node 8 with capacity 19,\nan edge from node 2 to node 14 with capacity 17,\nan edge from node 2 to node 4 with capacity 8,\nan edge from node 2 to node 13 with capacity 15,\nan edge from node 3 to node 8 with capacity 16,\nan edge from node 3 to node 14 with capacity 13,\nan edge from node 3 to node 5 with capacity 11,\nan edge from node 3 to node 6 with capacity 6,\nan edge from node 4 to node 8 with capacity 7,\nan edge from node 4 to node 9 with capacity 16,\nan edge from node 4 to node 2 with capacity 6,\nan edge from node 4 to node 14 with capacity 8,\nan edge from node 4 to node 13 with capacity 12,\nan edge from node 4 to node 6 with capacity 17,\nan edge from node 4 to node 7 with capacity 4,\nan edge from node 5 to node 10 with capacity 15,\nan edge from node 5 to node 9 with capacity 18,\nan edge from node 5 to node 2 with capacity 7,\nan edge from node 5 to node 3 with capacity 9,\nan edge from node 5 to node 16 with capacity 6,\nan edge from node 6 to node 10 with capacity 19,\nan edge from node 6 to node 14 with capacity 3,\nan edge from node 6 to node 13 with capacity 2,\nan edge from node 6 to node 1 with capacity 17,\nan edge from node 7 to node 11 with capacity 5,\nan edge from node 7 to node 9 with capacity 9,\nan edge from node 7 to node 15 with capacity 13,\nan edge from node 7 to node 5 with capacity 15,\nan edge from node 7 to node 16 with capacity 7,\nan edge from node 8 to node 3 with capacity 2,\nan edge from node 8 to node 1 with capacity 8,\nan edge from node 8 to node 5 with capacity 3,\nan edge from node 9 to node 11 with capacity 12,\nan edge from node 9 to node 1 with capacity 11,\nan edge from node 9 to node 5 with capacity 20,\nan edge from node 10 to node 9 with capacity 9,\nan edge from node 10 to node 4 with capacity 1,\nan edge from node 10 to node 15 with capacity 4,\nan edge from node 10 to node 1 with capacity 9,\nan edge from node 10 to node 6 with capacity 11,\nan edge from node 11 to node 10 with capacity 7,\nan edge from node 11 to node 0 with capacity 8,\nan edge from node 11 to node 15 with capacity 9,\nan edge from node 12 to node 8 with capacity 7,\nan edge from node 12 to node 7 with capacity 2,\nan edge from node 13 to node 11 with capacity 3,\nan edge from node 13 to node 8 with capacity 12,\nan edge from node 13 to node 12 with capacity 9,\nan edge from node 13 to node 4 with capacity 3,\nan edge from node 13 to node 15 with capacity 10,\nan edge from node 15 to node 8 with capacity 3,\nan edge from node 15 to node 9 with capacity 8,\nan edge from node 15 to node 2 with capacity 13,\nan edge from node 15 to node 0 with capacity 18,\nan edge from node 15 to node 6 with capacity 11,\nan edge from node 16 to node 15 with capacity 6,\nan edge from node 16 to node 1 with capacity 20,\nWhat is the maximum flow from node 7 to node 3:"
            },
            {
                "from": "gpt",
                "value": "11."
            }
        ]
    },
    {
        "id": "flow-hard-graph672",
        "image": "data/flow/graph_visual/hard/graph672.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 4 with capacity 8,\nan edge from node 0 to node 9 with capacity 4,\nan edge from node 0 to node 10 with capacity 1,\nan edge from node 0 to node 1 with capacity 17,\nan edge from node 0 to node 3 with capacity 10,\nan edge from node 1 to node 11 with capacity 10,\nan edge from node 1 to node 10 with capacity 8,\nan edge from node 1 to node 8 with capacity 14,\nan edge from node 1 to node 12 with capacity 12,\nan edge from node 1 to node 3 with capacity 8,\nan edge from node 2 to node 7 with capacity 7,\nan edge from node 2 to node 0 with capacity 16,\nan edge from node 3 to node 14 with capacity 1,\nan edge from node 4 to node 2 with capacity 8,\nan edge from node 4 to node 9 with capacity 15,\nan edge from node 5 to node 14 with capacity 19,\nan edge from node 5 to node 8 with capacity 7,\nan edge from node 6 to node 11 with capacity 11,\nan edge from node 6 to node 4 with capacity 6,\nan edge from node 6 to node 9 with capacity 19,\nan edge from node 6 to node 7 with capacity 20,\nan edge from node 6 to node 8 with capacity 7,\nan edge from node 6 to node 13 with capacity 16,\nan edge from node 7 to node 2 with capacity 16,\nan edge from node 7 to node 4 with capacity 12,\nan edge from node 7 to node 9 with capacity 6,\nan edge from node 7 to node 3 with capacity 8,\nan edge from node 8 to node 4 with capacity 3,\nan edge from node 8 to node 6 with capacity 2,\nan edge from node 8 to node 7 with capacity 9,\nan edge from node 8 to node 0 with capacity 20,\nan edge from node 8 to node 3 with capacity 15,\nan edge from node 8 to node 5 with capacity 17,\nan edge from node 9 to node 3 with capacity 18,\nan edge from node 10 to node 2 with capacity 17,\nan edge from node 10 to node 11 with capacity 9,\nan edge from node 10 to node 0 with capacity 20,\nan edge from node 10 to node 5 with capacity 1,\nan edge from node 11 to node 4 with capacity 1,\nan edge from node 11 to node 8 with capacity 1,\nan edge from node 11 to node 0 with capacity 14,\nan edge from node 12 to node 11 with capacity 3,\nan edge from node 12 to node 4 with capacity 7,\nan edge from node 12 to node 6 with capacity 18,\nan edge from node 12 to node 7 with capacity 6,\nan edge from node 12 to node 0 with capacity 16,\nan edge from node 12 to node 1 with capacity 2,\nan edge from node 13 to node 2 with capacity 17,\nan edge from node 13 to node 11 with capacity 13,\nan edge from node 13 to node 14 with capacity 6,\nan edge from node 13 to node 10 with capacity 6,\nan edge from node 13 to node 0 with capacity 13,\nan edge from node 13 to node 15 with capacity 20,\nan edge from node 13 to node 12 with capacity 18,\nan edge from node 14 to node 2 with capacity 20,\nan edge from node 14 to node 4 with capacity 10,\nan edge from node 14 to node 9 with capacity 5,\nan edge from node 14 to node 13 with capacity 16,\nan edge from node 15 to node 11 with capacity 3,\nan edge from node 15 to node 4 with capacity 9,\nan edge from node 15 to node 10 with capacity 8,\nan edge from node 15 to node 7 with capacity 14,\nan edge from node 15 to node 0 with capacity 11,\nWhat is the maximum flow from node 0 to node 15:"
            },
            {
                "from": "gpt",
                "value": "19."
            }
        ]
    },
    {
        "id": "flow-hard-graph173",
        "image": "data/flow/graph_visual/hard/graph173.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 11 with capacity 19,\nan edge from node 0 to node 2 with capacity 19,\nan edge from node 1 to node 2 with capacity 18,\nan edge from node 2 to node 0 with capacity 5,\nan edge from node 2 to node 1 with capacity 15,\nan edge from node 2 to node 8 with capacity 4,\nan edge from node 2 to node 5 with capacity 11,\nan edge from node 3 to node 0 with capacity 9,\nan edge from node 3 to node 5 with capacity 11,\nan edge from node 4 to node 3 with capacity 2,\nan edge from node 4 to node 9 with capacity 20,\nan edge from node 4 to node 10 with capacity 16,\nan edge from node 4 to node 1 with capacity 8,\nan edge from node 4 to node 2 with capacity 10,\nan edge from node 4 to node 5 with capacity 4,\nan edge from node 5 to node 11 with capacity 20,\nan edge from node 5 to node 9 with capacity 13,\nan edge from node 5 to node 0 with capacity 4,\nan edge from node 6 to node 0 with capacity 9,\nan edge from node 6 to node 1 with capacity 20,\nan edge from node 6 to node 4 with capacity 1,\nan edge from node 6 to node 8 with capacity 1,\nan edge from node 7 to node 11 with capacity 1,\nan edge from node 7 to node 0 with capacity 7,\nan edge from node 7 to node 10 with capacity 14,\nan edge from node 7 to node 5 with capacity 1,\nan edge from node 8 to node 11 with capacity 11,\nan edge from node 8 to node 10 with capacity 9,\nan edge from node 8 to node 5 with capacity 14,\nan edge from node 9 to node 7 with capacity 14,\nan edge from node 9 to node 11 with capacity 11,\nan edge from node 9 to node 0 with capacity 3,\nan edge from node 10 to node 9 with capacity 12,\nan edge from node 10 to node 4 with capacity 15,\nan edge from node 10 to node 2 with capacity 11,\nan edge from node 10 to node 5 with capacity 15,\nan edge from node 11 to node 7 with capacity 5,\nan edge from node 11 to node 0 with capacity 16,\nan edge from node 11 to node 10 with capacity 11,\nan edge from node 11 to node 1 with capacity 12,\nan edge from node 11 to node 4 with capacity 15,\nan edge from node 11 to node 6 with capacity 13,\nWhat is the maximum flow from node 9 to node 4:"
            },
            {
                "from": "gpt",
                "value": "28."
            }
        ]
    },
    {
        "id": "flow-hard-graph432",
        "image": "data/flow/graph_visual/hard/graph432.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 4 with capacity 19,\nan edge from node 0 to node 13 with capacity 6,\nan edge from node 0 to node 9 with capacity 6,\nan edge from node 0 to node 3 with capacity 19,\nan edge from node 1 to node 11 with capacity 9,\nan edge from node 1 to node 8 with capacity 3,\nan edge from node 1 to node 13 with capacity 13,\nan edge from node 1 to node 7 with capacity 14,\nan edge from node 1 to node 2 with capacity 5,\nan edge from node 2 to node 3 with capacity 17,\nan edge from node 2 to node 5 with capacity 14,\nan edge from node 2 to node 7 with capacity 15,\nan edge from node 2 to node 0 with capacity 7,\nan edge from node 3 to node 1 with capacity 10,\nan edge from node 3 to node 13 with capacity 17,\nan edge from node 3 to node 12 with capacity 16,\nan edge from node 3 to node 0 with capacity 19,\nan edge from node 4 to node 1 with capacity 8,\nan edge from node 4 to node 11 with capacity 18,\nan edge from node 4 to node 8 with capacity 7,\nan edge from node 4 to node 9 with capacity 8,\nan edge from node 4 to node 12 with capacity 5,\nan edge from node 4 to node 7 with capacity 10,\nan edge from node 5 to node 4 with capacity 3,\nan edge from node 5 to node 10 with capacity 2,\nan edge from node 5 to node 7 with capacity 12,\nan edge from node 5 to node 2 with capacity 20,\nan edge from node 6 to node 4 with capacity 6,\nan edge from node 6 to node 10 with capacity 12,\nan edge from node 6 to node 2 with capacity 6,\nan edge from node 7 to node 8 with capacity 11,\nan edge from node 7 to node 0 with capacity 4,\nan edge from node 8 to node 6 with capacity 3,\nan edge from node 8 to node 13 with capacity 2,\nan edge from node 8 to node 10 with capacity 16,\nan edge from node 10 to node 1 with capacity 4,\nan edge from node 10 to node 11 with capacity 19,\nan edge from node 10 to node 4 with capacity 10,\nan edge from node 10 to node 8 with capacity 15,\nan edge from node 11 to node 1 with capacity 9,\nan edge from node 11 to node 3 with capacity 17,\nan edge from node 11 to node 2 with capacity 15,\nan edge from node 12 to node 8 with capacity 11,\nan edge from node 12 to node 7 with capacity 12,\nan edge from node 12 to node 0 with capacity 12,\nan edge from node 13 to node 1 with capacity 18,\nan edge from node 13 to node 9 with capacity 11,\nan edge from node 13 to node 10 with capacity 11,\nan edge from node 13 to node 3 with capacity 12,\nan edge from node 13 to node 12 with capacity 18,\nan edge from node 13 to node 7 with capacity 4,\nan edge from node 13 to node 2 with capacity 17,\nWhat is the maximum flow from node 13 to node 2:"
            },
            {
                "from": "gpt",
                "value": "40."
            }
        ]
    },
    {
        "id": "flow-hard-graph382",
        "image": "data/flow/graph_visual/hard/graph382.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 11 with capacity 10,\nan edge from node 1 to node 7 with capacity 16,\nan edge from node 2 to node 12 with capacity 3,\nan edge from node 2 to node 6 with capacity 10,\nan edge from node 2 to node 13 with capacity 2,\nan edge from node 2 to node 11 with capacity 18,\nan edge from node 2 to node 8 with capacity 3,\nan edge from node 2 to node 9 with capacity 8,\nan edge from node 2 to node 0 with capacity 9,\nan edge from node 3 to node 5 with capacity 4,\nan edge from node 3 to node 4 with capacity 10,\nan edge from node 3 to node 0 with capacity 6,\nan edge from node 4 to node 11 with capacity 11,\nan edge from node 4 to node 8 with capacity 5,\nan edge from node 4 to node 1 with capacity 7,\nan edge from node 4 to node 10 with capacity 7,\nan edge from node 5 to node 13 with capacity 4,\nan edge from node 5 to node 2 with capacity 15,\nan edge from node 6 to node 12 with capacity 5,\nan edge from node 6 to node 3 with capacity 3,\nan edge from node 6 to node 8 with capacity 2,\nan edge from node 6 to node 0 with capacity 10,\nan edge from node 7 to node 12 with capacity 18,\nan edge from node 7 to node 6 with capacity 5,\nan edge from node 8 to node 6 with capacity 9,\nan edge from node 8 to node 5 with capacity 14,\nan edge from node 8 to node 1 with capacity 11,\nan edge from node 8 to node 10 with capacity 5,\nan edge from node 9 to node 3 with capacity 5,\nan edge from node 9 to node 5 with capacity 2,\nan edge from node 9 to node 13 with capacity 16,\nan edge from node 9 to node 2 with capacity 14,\nan edge from node 9 to node 1 with capacity 4,\nan edge from node 9 to node 0 with capacity 11,\nan edge from node 10 to node 6 with capacity 1,\nan edge from node 10 to node 5 with capacity 4,\nan edge from node 10 to node 2 with capacity 18,\nan edge from node 11 to node 5 with capacity 8,\nan edge from node 11 to node 13 with capacity 10,\nan edge from node 12 to node 3 with capacity 10,\nan edge from node 12 to node 2 with capacity 11,\nan edge from node 12 to node 10 with capacity 12,\nan edge from node 13 to node 6 with capacity 13,\nan edge from node 13 to node 2 with capacity 20,\nan edge from node 13 to node 9 with capacity 4,\nWhat is the maximum flow from node 11 to node 8:"
            },
            {
                "from": "gpt",
                "value": "10."
            }
        ]
    },
    {
        "id": "flow-hard-graph1142",
        "image": "data/flow/graph_visual/hard/graph1142.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 2 with capacity 9,\nan edge from node 0 to node 8 with capacity 6,\nan edge from node 0 to node 11 with capacity 5,\nan edge from node 0 to node 5 with capacity 5,\nan edge from node 0 to node 9 with capacity 1,\nan edge from node 0 to node 15 with capacity 14,\nan edge from node 1 to node 16 with capacity 11,\nan edge from node 1 to node 18 with capacity 3,\nan edge from node 1 to node 4 with capacity 14,\nan edge from node 1 to node 7 with capacity 14,\nan edge from node 2 to node 11 with capacity 7,\nan edge from node 2 to node 6 with capacity 9,\nan edge from node 2 to node 3 with capacity 14,\nan edge from node 2 to node 7 with capacity 16,\nan edge from node 3 to node 11 with capacity 6,\nan edge from node 3 to node 4 with capacity 16,\nan edge from node 3 to node 9 with capacity 4,\nan edge from node 3 to node 7 with capacity 4,\nan edge from node 4 to node 1 with capacity 8,\nan edge from node 4 to node 16 with capacity 6,\nan edge from node 4 to node 8 with capacity 7,\nan edge from node 4 to node 18 with capacity 10,\nan edge from node 4 to node 15 with capacity 12,\nan edge from node 5 to node 2 with capacity 6,\nan edge from node 5 to node 12 with capacity 7,\nan edge from node 5 to node 18 with capacity 9,\nan edge from node 5 to node 6 with capacity 10,\nan edge from node 5 to node 3 with capacity 11,\nan edge from node 5 to node 13 with capacity 4,\nan edge from node 5 to node 9 with capacity 9,\nan edge from node 6 to node 1 with capacity 1,\nan edge from node 6 to node 8 with capacity 18,\nan edge from node 6 to node 17 with capacity 15,\nan edge from node 6 to node 11 with capacity 17,\nan edge from node 6 to node 18 with capacity 18,\nan edge from node 6 to node 5 with capacity 20,\nan edge from node 6 to node 4 with capacity 20,\nan edge from node 6 to node 9 with capacity 4,\nan edge from node 7 to node 14 with capacity 20,\nan edge from node 7 to node 8 with capacity 9,\nan edge from node 7 to node 12 with capacity 19,\nan edge from node 7 to node 11 with capacity 14,\nan edge from node 7 to node 6 with capacity 18,\nan edge from node 7 to node 3 with capacity 19,\nan edge from node 7 to node 13 with capacity 8,\nan edge from node 8 to node 2 with capacity 4,\nan edge from node 8 to node 11 with capacity 5,\nan edge from node 8 to node 6 with capacity 16,\nan edge from node 8 to node 13 with capacity 6,\nan edge from node 8 to node 4 with capacity 17,\nan edge from node 9 to node 1 with capacity 19,\nan edge from node 9 to node 17 with capacity 16,\nan edge from node 9 to node 5 with capacity 10,\nan edge from node 9 to node 3 with capacity 17,\nan edge from node 9 to node 10 with capacity 15,\nan edge from node 10 to node 16 with capacity 7,\nan edge from node 10 to node 3 with capacity 9,\nan edge from node 10 to node 13 with capacity 11,\nan edge from node 10 to node 4 with capacity 10,\nan edge from node 10 to node 9 with capacity 20,\nan edge from node 10 to node 7 with capacity 10,\nan edge from node 11 to node 2 with capacity 13,\nan edge from node 11 to node 16 with capacity 11,\nan edge from node 11 to node 5 with capacity 16,\nan edge from node 11 to node 13 with capacity 8,\nan edge from node 11 to node 19 with capacity 2,\nan edge from node 12 to node 2 with capacity 20,\nan edge from node 12 to node 0 with capacity 15,\nan edge from node 12 to node 11 with capacity 15,\nan edge from node 12 to node 3 with capacity 14,\nan edge from node 12 to node 13 with capacity 2,\nan edge from node 12 to node 9 with capacity 16,\nan edge from node 13 to node 1 with capacity 1,\nan edge from node 13 to node 0 with capacity 2,\nan edge from node 13 to node 5 with capacity 13,\nan edge from node 13 to node 3 with capacity 19,\nan edge from node 13 to node 4 with capacity 20,\nan edge from node 13 to node 9 with capacity 15,\nan edge from node 13 to node 10 with capacity 14,\nan edge from node 14 to node 16 with capacity 2,\nan edge from node 14 to node 6 with capacity 9,\nan edge from node 14 to node 9 with capacity 3,\nan edge from node 15 to node 2 with capacity 2,\nan edge from node 15 to node 14 with capacity 16,\nan edge from node 15 to node 8 with capacity 12,\nan edge from node 16 to node 8 with capacity 19,\nan edge from node 16 to node 17 with capacity 15,\nan edge from node 16 to node 15 with capacity 12,\nan edge from node 16 to node 19 with capacity 12,\nan edge from node 17 to node 14 with capacity 12,\nan edge from node 17 to node 16 with capacity 20,\nan edge from node 17 to node 18 with capacity 15,\nan edge from node 17 to node 3 with capacity 9,\nan edge from node 17 to node 4 with capacity 1,\nan edge from node 17 to node 7 with capacity 16,\nan edge from node 17 to node 10 with capacity 1,\nan edge from node 18 to node 8 with capacity 15,\nan edge from node 18 to node 7 with capacity 18,\nan edge from node 18 to node 15 with capacity 4,\nan edge from node 19 to node 10 with capacity 6,\nWhat is the maximum flow from node 4 to node 7:"
            },
            {
                "from": "gpt",
                "value": "43."
            }
        ]
    },
    {
        "id": "flow-hard-graph870",
        "image": "data/flow/graph_visual/hard/graph870.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 1 with capacity 17,\nan edge from node 0 to node 17 with capacity 20,\nan edge from node 0 to node 4 with capacity 8,\nan edge from node 1 to node 7 with capacity 20,\nan edge from node 1 to node 16 with capacity 16,\nan edge from node 1 to node 9 with capacity 20,\nan edge from node 1 to node 11 with capacity 1,\nan edge from node 1 to node 10 with capacity 13,\nan edge from node 2 to node 7 with capacity 1,\nan edge from node 2 to node 8 with capacity 10,\nan edge from node 2 to node 12 with capacity 10,\nan edge from node 2 to node 5 with capacity 3,\nan edge from node 2 to node 14 with capacity 17,\nan edge from node 2 to node 3 with capacity 11,\nan edge from node 3 to node 8 with capacity 6,\nan edge from node 3 to node 5 with capacity 13,\nan edge from node 3 to node 14 with capacity 5,\nan edge from node 3 to node 10 with capacity 13,\nan edge from node 4 to node 8 with capacity 1,\nan edge from node 4 to node 16 with capacity 18,\nan edge from node 4 to node 13 with capacity 6,\nan edge from node 4 to node 15 with capacity 6,\nan edge from node 4 to node 5 with capacity 14,\nan edge from node 4 to node 14 with capacity 20,\nan edge from node 5 to node 8 with capacity 4,\nan edge from node 5 to node 17 with capacity 20,\nan edge from node 5 to node 15 with capacity 16,\nan edge from node 5 to node 10 with capacity 1,\nan edge from node 5 to node 3 with capacity 18,\nan edge from node 6 to node 4 with capacity 15,\nan edge from node 6 to node 10 with capacity 13,\nan edge from node 6 to node 3 with capacity 20,\nan edge from node 7 to node 16 with capacity 20,\nan edge from node 7 to node 6 with capacity 9,\nan edge from node 7 to node 13 with capacity 20,\nan edge from node 7 to node 15 with capacity 20,\nan edge from node 7 to node 14 with capacity 18,\nan edge from node 7 to node 3 with capacity 1,\nan edge from node 8 to node 17 with capacity 6,\nan edge from node 9 to node 8 with capacity 9,\nan edge from node 9 to node 16 with capacity 20,\nan edge from node 9 to node 13 with capacity 19,\nan edge from node 9 to node 5 with capacity 9,\nan edge from node 10 to node 1 with capacity 18,\nan edge from node 10 to node 0 with capacity 10,\nan edge from node 10 to node 4 with capacity 15,\nan edge from node 10 to node 2 with capacity 18,\nan edge from node 11 to node 8 with capacity 7,\nan edge from node 11 to node 9 with capacity 20,\nan edge from node 11 to node 15 with capacity 2,\nan edge from node 11 to node 3 with capacity 12,\nan edge from node 12 to node 1 with capacity 12,\nan edge from node 12 to node 4 with capacity 13,\nan edge from node 12 to node 13 with capacity 6,\nan edge from node 12 to node 2 with capacity 8,\nan edge from node 12 to node 14 with capacity 19,\nan edge from node 12 to node 10 with capacity 1,\nan edge from node 13 to node 9 with capacity 14,\nan edge from node 13 to node 2 with capacity 4,\nan edge from node 13 to node 10 with capacity 8,\nan edge from node 14 to node 0 with capacity 16,\nan edge from node 14 to node 4 with capacity 4,\nan edge from node 14 to node 6 with capacity 11,\nan edge from node 15 to node 12 with capacity 4,\nan edge from node 15 to node 14 with capacity 13,\nan edge from node 15 to node 10 with capacity 4,\nan edge from node 16 to node 1 with capacity 6,\nan edge from node 16 to node 4 with capacity 16,\nan edge from node 16 to node 12 with capacity 7,\nan edge from node 16 to node 5 with capacity 5,\nan edge from node 16 to node 14 with capacity 12,\nan edge from node 17 to node 7 with capacity 4,\nan edge from node 17 to node 8 with capacity 3,\nan edge from node 17 to node 0 with capacity 16,\nan edge from node 17 to node 4 with capacity 15,\nan edge from node 17 to node 5 with capacity 15,\nan edge from node 17 to node 10 with capacity 15,\nWhat is the maximum flow from node 5 to node 13:"
            },
            {
                "from": "gpt",
                "value": "51."
            }
        ]
    },
    {
        "id": "flow-hard-graph107",
        "image": "data/flow/graph_visual/hard/graph107.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 5 with capacity 17,\nan edge from node 0 to node 1 with capacity 11,\nan edge from node 2 to node 5 with capacity 18,\nan edge from node 2 to node 7 with capacity 2,\nan edge from node 2 to node 10 with capacity 12,\nan edge from node 2 to node 4 with capacity 8,\nan edge from node 2 to node 6 with capacity 20,\nan edge from node 3 to node 10 with capacity 13,\nan edge from node 3 to node 4 with capacity 7,\nan edge from node 3 to node 6 with capacity 17,\nan edge from node 4 to node 5 with capacity 20,\nan edge from node 4 to node 10 with capacity 12,\nan edge from node 4 to node 6 with capacity 2,\nan edge from node 4 to node 1 with capacity 4,\nan edge from node 5 to node 3 with capacity 5,\nan edge from node 5 to node 9 with capacity 6,\nan edge from node 5 to node 10 with capacity 14,\nan edge from node 6 to node 5 with capacity 9,\nan edge from node 6 to node 7 with capacity 1,\nan edge from node 7 to node 5 with capacity 9,\nan edge from node 7 to node 9 with capacity 4,\nan edge from node 7 to node 10 with capacity 2,\nan edge from node 7 to node 6 with capacity 2,\nan edge from node 7 to node 1 with capacity 1,\nan edge from node 8 to node 3 with capacity 17,\nan edge from node 8 to node 7 with capacity 4,\nan edge from node 8 to node 9 with capacity 13,\nan edge from node 8 to node 6 with capacity 11,\nan edge from node 9 to node 3 with capacity 17,\nan edge from node 9 to node 8 with capacity 6,\nan edge from node 9 to node 10 with capacity 13,\nan edge from node 10 to node 5 with capacity 10,\nan edge from node 10 to node 7 with capacity 19,\nan edge from node 10 to node 9 with capacity 17,\nan edge from node 10 to node 8 with capacity 18,\nan edge from node 10 to node 4 with capacity 7,\nWhat is the maximum flow from node 5 to node 7:"
            },
            {
                "from": "gpt",
                "value": "24."
            }
        ]
    },
    {
        "id": "flow-hard-graph415",
        "image": "data/flow/graph_visual/hard/graph415.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 7 with capacity 16,\nan edge from node 0 to node 13 with capacity 8,\nan edge from node 0 to node 9 with capacity 6,\nan edge from node 1 to node 11 with capacity 4,\nan edge from node 1 to node 13 with capacity 5,\nan edge from node 1 to node 2 with capacity 1,\nan edge from node 1 to node 9 with capacity 3,\nan edge from node 2 to node 1 with capacity 18,\nan edge from node 2 to node 12 with capacity 8,\nan edge from node 2 to node 3 with capacity 20,\nan edge from node 2 to node 10 with capacity 12,\nan edge from node 2 to node 11 with capacity 12,\nan edge from node 3 to node 12 with capacity 5,\nan edge from node 3 to node 6 with capacity 7,\nan edge from node 4 to node 1 with capacity 11,\nan edge from node 4 to node 12 with capacity 20,\nan edge from node 4 to node 11 with capacity 5,\nan edge from node 4 to node 2 with capacity 18,\nan edge from node 5 to node 10 with capacity 2,\nan edge from node 5 to node 8 with capacity 15,\nan edge from node 5 to node 13 with capacity 16,\nan edge from node 5 to node 9 with capacity 11,\nan edge from node 6 to node 1 with capacity 13,\nan edge from node 6 to node 7 with capacity 13,\nan edge from node 6 to node 13 with capacity 12,\nan edge from node 6 to node 4 with capacity 4,\nan edge from node 7 to node 10 with capacity 5,\nan edge from node 7 to node 6 with capacity 3,\nan edge from node 8 to node 10 with capacity 5,\nan edge from node 8 to node 11 with capacity 6,\nan edge from node 8 to node 13 with capacity 3,\nan edge from node 8 to node 5 with capacity 6,\nan edge from node 9 to node 1 with capacity 4,\nan edge from node 9 to node 3 with capacity 5,\nan edge from node 9 to node 10 with capacity 11,\nan edge from node 9 to node 6 with capacity 16,\nan edge from node 9 to node 5 with capacity 7,\nan edge from node 10 to node 12 with capacity 20,\nan edge from node 10 to node 8 with capacity 6,\nan edge from node 10 to node 2 with capacity 1,\nan edge from node 10 to node 5 with capacity 8,\nan edge from node 11 to node 1 with capacity 12,\nan edge from node 11 to node 7 with capacity 16,\nan edge from node 11 to node 4 with capacity 12,\nan edge from node 11 to node 5 with capacity 17,\nan edge from node 12 to node 2 with capacity 19,\nan edge from node 12 to node 4 with capacity 3,\nan edge from node 12 to node 9 with capacity 19,\nan edge from node 13 to node 1 with capacity 11,\nan edge from node 13 to node 12 with capacity 17,\nan edge from node 13 to node 10 with capacity 6,\nan edge from node 13 to node 7 with capacity 7,\nan edge from node 13 to node 0 with capacity 17,\nan edge from node 13 to node 11 with capacity 8,\nan edge from node 13 to node 6 with capacity 13,\nan edge from node 13 to node 5 with capacity 20,\nWhat is the maximum flow from node 2 to node 13:"
            },
            {
                "from": "gpt",
                "value": "36."
            }
        ]
    },
    {
        "id": "flow-hard-graph1112",
        "image": "data/flow/graph_visual/hard/graph1112.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 7 with capacity 18,\nan edge from node 0 to node 11 with capacity 2,\nan edge from node 1 to node 12 with capacity 10,\nan edge from node 1 to node 18 with capacity 7,\nan edge from node 1 to node 7 with capacity 3,\nan edge from node 1 to node 9 with capacity 4,\nan edge from node 1 to node 16 with capacity 1,\nan edge from node 1 to node 8 with capacity 7,\nan edge from node 1 to node 11 with capacity 1,\nan edge from node 1 to node 3 with capacity 14,\nan edge from node 2 to node 12 with capacity 19,\nan edge from node 2 to node 18 with capacity 17,\nan edge from node 2 to node 19 with capacity 15,\nan edge from node 2 to node 15 with capacity 20,\nan edge from node 2 to node 17 with capacity 16,\nan edge from node 2 to node 6 with capacity 14,\nan edge from node 3 to node 18 with capacity 15,\nan edge from node 3 to node 19 with capacity 1,\nan edge from node 3 to node 9 with capacity 17,\nan edge from node 3 to node 16 with capacity 17,\nan edge from node 3 to node 15 with capacity 11,\nan edge from node 3 to node 11 with capacity 8,\nan edge from node 3 to node 1 with capacity 14,\nan edge from node 4 to node 19 with capacity 20,\nan edge from node 4 to node 9 with capacity 1,\nan edge from node 4 to node 16 with capacity 17,\nan edge from node 4 to node 15 with capacity 10,\nan edge from node 4 to node 2 with capacity 20,\nan edge from node 6 to node 9 with capacity 15,\nan edge from node 6 to node 10 with capacity 10,\nan edge from node 6 to node 1 with capacity 8,\nan edge from node 6 to node 3 with capacity 20,\nan edge from node 7 to node 10 with capacity 11,\nan edge from node 7 to node 2 with capacity 11,\nan edge from node 7 to node 17 with capacity 16,\nan edge from node 8 to node 0 with capacity 1,\nan edge from node 8 to node 9 with capacity 19,\nan edge from node 8 to node 15 with capacity 9,\nan edge from node 8 to node 11 with capacity 20,\nan edge from node 8 to node 2 with capacity 12,\nan edge from node 8 to node 3 with capacity 6,\nan edge from node 9 to node 19 with capacity 18,\nan edge from node 9 to node 14 with capacity 14,\nan edge from node 9 to node 1 with capacity 16,\nan edge from node 9 to node 17 with capacity 4,\nan edge from node 10 to node 12 with capacity 1,\nan edge from node 10 to node 0 with capacity 18,\nan edge from node 10 to node 8 with capacity 1,\nan edge from node 10 to node 11 with capacity 19,\nan edge from node 10 to node 2 with capacity 1,\nan edge from node 10 to node 14 with capacity 19,\nan edge from node 11 to node 19 with capacity 9,\nan edge from node 11 to node 13 with capacity 10,\nan edge from node 11 to node 1 with capacity 16,\nan edge from node 11 to node 17 with capacity 17,\nan edge from node 12 to node 13 with capacity 17,\nan edge from node 12 to node 2 with capacity 6,\nan edge from node 12 to node 1 with capacity 9,\nan edge from node 13 to node 4 with capacity 2,\nan edge from node 13 to node 7 with capacity 9,\nan edge from node 13 to node 19 with capacity 9,\nan edge from node 13 to node 9 with capacity 4,\nan edge from node 13 to node 15 with capacity 9,\nan edge from node 13 to node 14 with capacity 2,\nan edge from node 13 to node 17 with capacity 11,\nan edge from node 14 to node 4 with capacity 14,\nan edge from node 14 to node 0 with capacity 4,\nan edge from node 14 to node 16 with capacity 18,\nan edge from node 14 to node 10 with capacity 6,\nan edge from node 14 to node 17 with capacity 7,\nan edge from node 15 to node 12 with capacity 12,\nan edge from node 15 to node 0 with capacity 12,\nan edge from node 15 to node 7 with capacity 3,\nan edge from node 16 to node 0 with capacity 1,\nan edge from node 16 to node 14 with capacity 20,\nan edge from node 16 to node 1 with capacity 13,\nan edge from node 17 to node 4 with capacity 11,\nan edge from node 17 to node 0 with capacity 8,\nan edge from node 17 to node 16 with capacity 2,\nan edge from node 17 to node 13 with capacity 4,\nan edge from node 17 to node 1 with capacity 14,\nan edge from node 18 to node 0 with capacity 7,\nan edge from node 18 to node 8 with capacity 18,\nan edge from node 18 to node 1 with capacity 6,\nan edge from node 18 to node 3 with capacity 15,\nan edge from node 19 to node 18 with capacity 6,\nan edge from node 19 to node 5 with capacity 1,\nan edge from node 19 to node 9 with capacity 17,\nan edge from node 19 to node 11 with capacity 18,\nWhat is the maximum flow from node 19 to node 14:"
            },
            {
                "from": "gpt",
                "value": "41."
            }
        ]
    },
    {
        "id": "flow-hard-graph648",
        "image": "data/flow/graph_visual/hard/graph648.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 2 with capacity 2,\nan edge from node 0 to node 1 with capacity 12,\nan edge from node 0 to node 4 with capacity 14,\nan edge from node 0 to node 6 with capacity 2,\nan edge from node 1 to node 6 with capacity 6,\nan edge from node 1 to node 10 with capacity 1,\nan edge from node 1 to node 0 with capacity 3,\nan edge from node 1 to node 3 with capacity 11,\nan edge from node 2 to node 13 with capacity 20,\nan edge from node 2 to node 12 with capacity 14,\nan edge from node 2 to node 14 with capacity 20,\nan edge from node 2 to node 0 with capacity 19,\nan edge from node 3 to node 9 with capacity 4,\nan edge from node 4 to node 13 with capacity 1,\nan edge from node 4 to node 15 with capacity 3,\nan edge from node 4 to node 7 with capacity 13,\nan edge from node 5 to node 4 with capacity 1,\nan edge from node 5 to node 9 with capacity 13,\nan edge from node 6 to node 12 with capacity 18,\nan edge from node 6 to node 4 with capacity 20,\nan edge from node 6 to node 14 with capacity 12,\nan edge from node 6 to node 0 with capacity 8,\nan edge from node 6 to node 3 with capacity 9,\nan edge from node 7 to node 5 with capacity 10,\nan edge from node 7 to node 12 with capacity 19,\nan edge from node 7 to node 4 with capacity 4,\nan edge from node 7 to node 3 with capacity 17,\nan edge from node 8 to node 13 with capacity 16,\nan edge from node 8 to node 4 with capacity 3,\nan edge from node 8 to node 14 with capacity 6,\nan edge from node 8 to node 11 with capacity 16,\nan edge from node 8 to node 10 with capacity 2,\nan edge from node 8 to node 15 with capacity 6,\nan edge from node 8 to node 0 with capacity 18,\nan edge from node 8 to node 7 with capacity 16,\nan edge from node 9 to node 1 with capacity 6,\nan edge from node 9 to node 12 with capacity 9,\nan edge from node 9 to node 4 with capacity 2,\nan edge from node 9 to node 14 with capacity 2,\nan edge from node 9 to node 0 with capacity 5,\nan edge from node 9 to node 7 with capacity 4,\nan edge from node 10 to node 5 with capacity 7,\nan edge from node 10 to node 4 with capacity 16,\nan edge from node 10 to node 9 with capacity 4,\nan edge from node 10 to node 8 with capacity 3,\nan edge from node 11 to node 2 with capacity 19,\nan edge from node 11 to node 12 with capacity 6,\nan edge from node 11 to node 14 with capacity 3,\nan edge from node 11 to node 0 with capacity 17,\nan edge from node 12 to node 13 with capacity 10,\nan edge from node 12 to node 5 with capacity 12,\nan edge from node 12 to node 0 with capacity 15,\nan edge from node 12 to node 8 with capacity 17,\nan edge from node 12 to node 7 with capacity 12,\nan edge from node 13 to node 2 with capacity 20,\nan edge from node 13 to node 14 with capacity 13,\nan edge from node 13 to node 3 with capacity 9,\nan edge from node 14 to node 4 with capacity 6,\nan edge from node 14 to node 15 with capacity 7,\nan edge from node 15 to node 13 with capacity 8,\nan edge from node 15 to node 2 with capacity 8,\nan edge from node 15 to node 1 with capacity 12,\nan edge from node 15 to node 4 with capacity 8,\nan edge from node 15 to node 14 with capacity 14,\nan edge from node 15 to node 9 with capacity 3,\nWhat is the maximum flow from node 0 to node 7:"
            },
            {
                "from": "gpt",
                "value": "29."
            }
        ]
    },
    {
        "id": "flow-hard-graph1168",
        "image": "data/flow/graph_visual/hard/graph1168.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 14 with capacity 5,\nan edge from node 0 to node 12 with capacity 14,\nan edge from node 0 to node 1 with capacity 1,\nan edge from node 0 to node 16 with capacity 19,\nan edge from node 1 to node 17 with capacity 9,\nan edge from node 1 to node 4 with capacity 11,\nan edge from node 1 to node 14 with capacity 5,\nan edge from node 1 to node 12 with capacity 2,\nan edge from node 1 to node 15 with capacity 9,\nan edge from node 1 to node 2 with capacity 6,\nan edge from node 1 to node 6 with capacity 7,\nan edge from node 2 to node 5 with capacity 6,\nan edge from node 2 to node 4 with capacity 4,\nan edge from node 2 to node 15 with capacity 10,\nan edge from node 2 to node 18 with capacity 5,\nan edge from node 2 to node 9 with capacity 9,\nan edge from node 3 to node 4 with capacity 7,\nan edge from node 3 to node 12 with capacity 6,\nan edge from node 3 to node 15 with capacity 2,\nan edge from node 3 to node 2 with capacity 3,\nan edge from node 3 to node 1 with capacity 15,\nan edge from node 3 to node 16 with capacity 12,\nan edge from node 4 to node 5 with capacity 5,\nan edge from node 4 to node 19 with capacity 1,\nan edge from node 4 to node 14 with capacity 5,\nan edge from node 4 to node 15 with capacity 18,\nan edge from node 4 to node 11 with capacity 7,\nan edge from node 4 to node 2 with capacity 16,\nan edge from node 4 to node 8 with capacity 7,\nan edge from node 4 to node 16 with capacity 19,\nan edge from node 5 to node 13 with capacity 13,\nan edge from node 5 to node 17 with capacity 12,\nan edge from node 5 to node 12 with capacity 16,\nan edge from node 5 to node 10 with capacity 12,\nan edge from node 5 to node 1 with capacity 12,\nan edge from node 6 to node 13 with capacity 16,\nan edge from node 6 to node 7 with capacity 3,\nan edge from node 6 to node 17 with capacity 12,\nan edge from node 6 to node 0 with capacity 9,\nan edge from node 6 to node 15 with capacity 3,\nan edge from node 6 to node 2 with capacity 17,\nan edge from node 6 to node 18 with capacity 17,\nan edge from node 7 to node 10 with capacity 11,\nan edge from node 7 to node 6 with capacity 4,\nan edge from node 8 to node 5 with capacity 20,\nan edge from node 8 to node 7 with capacity 11,\nan edge from node 8 to node 4 with capacity 18,\nan edge from node 8 to node 10 with capacity 6,\nan edge from node 8 to node 0 with capacity 7,\nan edge from node 8 to node 1 with capacity 18,\nan edge from node 8 to node 18 with capacity 13,\nan edge from node 9 to node 19 with capacity 9,\nan edge from node 9 to node 14 with capacity 1,\nan edge from node 9 to node 3 with capacity 13,\nan edge from node 9 to node 8 with capacity 3,\nan edge from node 10 to node 13 with capacity 17,\nan edge from node 10 to node 17 with capacity 6,\nan edge from node 10 to node 2 with capacity 5,\nan edge from node 10 to node 9 with capacity 6,\nan edge from node 10 to node 6 with capacity 8,\nan edge from node 11 to node 5 with capacity 17,\nan edge from node 11 to node 4 with capacity 9,\nan edge from node 11 to node 19 with capacity 11,\nan edge from node 11 to node 12 with capacity 12,\nan edge from node 11 to node 10 with capacity 18,\nan edge from node 11 to node 2 with capacity 18,\nan edge from node 11 to node 1 with capacity 2,\nan edge from node 11 to node 8 with capacity 2,\nan edge from node 11 to node 18 with capacity 10,\nan edge from node 12 to node 14 with capacity 17,\nan edge from node 12 to node 10 with capacity 6,\nan edge from node 12 to node 0 with capacity 1,\nan edge from node 12 to node 3 with capacity 13,\nan edge from node 12 to node 6 with capacity 16,\nan edge from node 13 to node 17 with capacity 14,\nan edge from node 13 to node 4 with capacity 1,\nan edge from node 13 to node 12 with capacity 20,\nan edge from node 13 to node 15 with capacity 3,\nan edge from node 13 to node 11 with capacity 4,\nan edge from node 13 to node 9 with capacity 12,\nan edge from node 14 to node 7 with capacity 3,\nan edge from node 14 to node 19 with capacity 11,\nan edge from node 14 to node 0 with capacity 5,\nan edge from node 14 to node 3 with capacity 14,\nan edge from node 14 to node 18 with capacity 7,\nan edge from node 15 to node 3 with capacity 8,\nan edge from node 15 to node 8 with capacity 17,\nan edge from node 15 to node 18 with capacity 14,\nan edge from node 16 to node 5 with capacity 15,\nan edge from node 16 to node 10 with capacity 12,\nan edge from node 16 to node 11 with capacity 19,\nan edge from node 16 to node 18 with capacity 8,\nan edge from node 17 to node 1 with capacity 3,\nan edge from node 17 to node 9 with capacity 20,\nan edge from node 17 to node 6 with capacity 2,\nan edge from node 18 to node 17 with capacity 20,\nan edge from node 18 to node 12 with capacity 7,\nan edge from node 19 to node 15 with capacity 4,\nan edge from node 19 to node 3 with capacity 17,\nan edge from node 19 to node 2 with capacity 12,\nWhat is the maximum flow from node 17 to node 14:"
            },
            {
                "from": "gpt",
                "value": "25."
            }
        ]
    },
    {
        "id": "flow-hard-graph65",
        "image": "data/flow/graph_visual/hard/graph65.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 7 with capacity 7,\nan edge from node 0 to node 2 with capacity 8,\nan edge from node 0 to node 4 with capacity 2,\nan edge from node 0 to node 1 with capacity 12,\nan edge from node 1 to node 7 with capacity 2,\nan edge from node 1 to node 9 with capacity 8,\nan edge from node 1 to node 8 with capacity 2,\nan edge from node 2 to node 4 with capacity 8,\nan edge from node 2 to node 0 with capacity 13,\nan edge from node 2 to node 8 with capacity 7,\nan edge from node 3 to node 6 with capacity 13,\nan edge from node 4 to node 7 with capacity 13,\nan edge from node 4 to node 2 with capacity 3,\nan edge from node 4 to node 6 with capacity 17,\nan edge from node 4 to node 3 with capacity 3,\nan edge from node 4 to node 1 with capacity 16,\nan edge from node 4 to node 5 with capacity 4,\nan edge from node 5 to node 4 with capacity 7,\nan edge from node 5 to node 8 with capacity 8,\nan edge from node 6 to node 7 with capacity 5,\nan edge from node 6 to node 9 with capacity 16,\nan edge from node 7 to node 2 with capacity 20,\nan edge from node 7 to node 3 with capacity 16,\nan edge from node 7 to node 5 with capacity 10,\nan edge from node 8 to node 0 with capacity 11,\nan edge from node 8 to node 3 with capacity 7,\nan edge from node 9 to node 8 with capacity 14,\nWhat is the maximum flow from node 3 to node 9:"
            },
            {
                "from": "gpt",
                "value": "13."
            }
        ]
    },
    {
        "id": "flow-hard-graph885",
        "image": "data/flow/graph_visual/hard/graph885.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 13 with capacity 9,\nan edge from node 0 to node 8 with capacity 19,\nan edge from node 0 to node 17 with capacity 16,\nan edge from node 0 to node 7 with capacity 3,\nan edge from node 0 to node 12 with capacity 20,\nan edge from node 1 to node 16 with capacity 2,\nan edge from node 1 to node 0 with capacity 10,\nan edge from node 1 to node 17 with capacity 3,\nan edge from node 1 to node 5 with capacity 10,\nan edge from node 2 to node 3 with capacity 9,\nan edge from node 2 to node 0 with capacity 18,\nan edge from node 2 to node 8 with capacity 18,\nan edge from node 2 to node 14 with capacity 15,\nan edge from node 2 to node 7 with capacity 10,\nan edge from node 3 to node 15 with capacity 16,\nan edge from node 3 to node 17 with capacity 4,\nan edge from node 3 to node 10 with capacity 3,\nan edge from node 3 to node 1 with capacity 19,\nan edge from node 3 to node 9 with capacity 18,\nan edge from node 4 to node 17 with capacity 14,\nan edge from node 4 to node 14 with capacity 10,\nan edge from node 4 to node 7 with capacity 5,\nan edge from node 5 to node 6 with capacity 7,\nan edge from node 5 to node 15 with capacity 7,\nan edge from node 5 to node 0 with capacity 17,\nan edge from node 6 to node 3 with capacity 13,\nan edge from node 6 to node 8 with capacity 19,\nan edge from node 6 to node 7 with capacity 1,\nan edge from node 6 to node 12 with capacity 14,\nan edge from node 7 to node 6 with capacity 20,\nan edge from node 7 to node 4 with capacity 13,\nan edge from node 7 to node 16 with capacity 15,\nan edge from node 7 to node 2 with capacity 8,\nan edge from node 7 to node 0 with capacity 6,\nan edge from node 7 to node 8 with capacity 3,\nan edge from node 7 to node 5 with capacity 5,\nan edge from node 7 to node 9 with capacity 7,\nan edge from node 7 to node 12 with capacity 6,\nan edge from node 8 to node 16 with capacity 7,\nan edge from node 8 to node 0 with capacity 13,\nan edge from node 8 to node 9 with capacity 19,\nan edge from node 9 to node 15 with capacity 19,\nan edge from node 9 to node 3 with capacity 2,\nan edge from node 9 to node 0 with capacity 20,\nan edge from node 9 to node 17 with capacity 1,\nan edge from node 10 to node 13 with capacity 14,\nan edge from node 10 to node 3 with capacity 7,\nan edge from node 10 to node 0 with capacity 20,\nan edge from node 10 to node 5 with capacity 3,\nan edge from node 10 to node 14 with capacity 13,\nan edge from node 11 to node 15 with capacity 1,\nan edge from node 11 to node 13 with capacity 1,\nan edge from node 11 to node 2 with capacity 19,\nan edge from node 11 to node 17 with capacity 1,\nan edge from node 11 to node 14 with capacity 4,\nan edge from node 11 to node 12 with capacity 1,\nan edge from node 12 to node 0 with capacity 9,\nan edge from node 12 to node 14 with capacity 14,\nan edge from node 12 to node 10 with capacity 4,\nan edge from node 12 to node 1 with capacity 17,\nan edge from node 13 to node 6 with capacity 8,\nan edge from node 13 to node 15 with capacity 1,\nan edge from node 13 to node 11 with capacity 4,\nan edge from node 13 to node 0 with capacity 10,\nan edge from node 14 to node 6 with capacity 4,\nan edge from node 14 to node 0 with capacity 9,\nan edge from node 14 to node 10 with capacity 19,\nan edge from node 14 to node 1 with capacity 17,\nan edge from node 15 to node 13 with capacity 6,\nan edge from node 15 to node 3 with capacity 15,\nan edge from node 15 to node 2 with capacity 19,\nan edge from node 15 to node 7 with capacity 12,\nan edge from node 16 to node 15 with capacity 5,\nan edge from node 16 to node 2 with capacity 18,\nan edge from node 16 to node 11 with capacity 1,\nan edge from node 16 to node 8 with capacity 1,\nan edge from node 16 to node 10 with capacity 1,\nan edge from node 16 to node 7 with capacity 19,\nan edge from node 17 to node 4 with capacity 2,\nan edge from node 17 to node 15 with capacity 11,\nan edge from node 17 to node 11 with capacity 12,\nWhat is the maximum flow from node 9 to node 2:"
            },
            {
                "from": "gpt",
                "value": "42."
            }
        ]
    },
    {
        "id": "flow-hard-graph700",
        "image": "data/flow/graph_visual/hard/graph700.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 8 with capacity 18,\nan edge from node 0 to node 3 with capacity 13,\nan edge from node 0 to node 13 with capacity 11,\nan edge from node 0 to node 4 with capacity 8,\nan edge from node 0 to node 2 with capacity 3,\nan edge from node 1 to node 11 with capacity 4,\nan edge from node 1 to node 7 with capacity 12,\nan edge from node 1 to node 9 with capacity 14,\nan edge from node 2 to node 0 with capacity 19,\nan edge from node 2 to node 3 with capacity 8,\nan edge from node 2 to node 6 with capacity 12,\nan edge from node 2 to node 13 with capacity 10,\nan edge from node 2 to node 1 with capacity 8,\nan edge from node 4 to node 7 with capacity 2,\nan edge from node 5 to node 0 with capacity 5,\nan edge from node 5 to node 10 with capacity 12,\nan edge from node 5 to node 9 with capacity 15,\nan edge from node 6 to node 10 with capacity 14,\nan edge from node 6 to node 4 with capacity 14,\nan edge from node 6 to node 9 with capacity 10,\nan edge from node 6 to node 2 with capacity 18,\nan edge from node 7 to node 15 with capacity 5,\nan edge from node 7 to node 0 with capacity 1,\nan edge from node 7 to node 6 with capacity 9,\nan edge from node 7 to node 12 with capacity 2,\nan edge from node 8 to node 3 with capacity 14,\nan edge from node 8 to node 6 with capacity 2,\nan edge from node 8 to node 11 with capacity 20,\nan edge from node 9 to node 5 with capacity 6,\nan edge from node 9 to node 10 with capacity 2,\nan edge from node 9 to node 3 with capacity 14,\nan edge from node 9 to node 11 with capacity 2,\nan edge from node 10 to node 14 with capacity 1,\nan edge from node 10 to node 6 with capacity 4,\nan edge from node 10 to node 7 with capacity 10,\nan edge from node 10 to node 9 with capacity 5,\nan edge from node 10 to node 1 with capacity 7,\nan edge from node 10 to node 12 with capacity 18,\nan edge from node 11 to node 5 with capacity 7,\nan edge from node 11 to node 0 with capacity 2,\nan edge from node 11 to node 6 with capacity 20,\nan edge from node 11 to node 13 with capacity 9,\nan edge from node 11 to node 7 with capacity 5,\nan edge from node 11 to node 2 with capacity 5,\nan edge from node 11 to node 12 with capacity 1,\nan edge from node 12 to node 8 with capacity 18,\nan edge from node 12 to node 11 with capacity 1,\nan edge from node 12 to node 2 with capacity 17,\nan edge from node 12 to node 1 with capacity 7,\nan edge from node 13 to node 0 with capacity 5,\nan edge from node 14 to node 11 with capacity 7,\nan edge from node 14 to node 13 with capacity 1,\nan edge from node 14 to node 9 with capacity 1,\nan edge from node 14 to node 12 with capacity 11,\nan edge from node 15 to node 14 with capacity 3,\nan edge from node 15 to node 0 with capacity 9,\nan edge from node 15 to node 10 with capacity 6,\nan edge from node 15 to node 9 with capacity 6,\nan edge from node 15 to node 2 with capacity 1,\nWhat is the maximum flow from node 3 to node 10:"
            },
            {
                "from": "gpt",
                "value": "0."
            }
        ]
    },
    {
        "id": "flow-hard-graph638",
        "image": "data/flow/graph_visual/hard/graph638.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 3 with capacity 17,\nan edge from node 0 to node 1 with capacity 8,\nan edge from node 0 to node 4 with capacity 6,\nan edge from node 2 to node 14 with capacity 9,\nan edge from node 2 to node 12 with capacity 13,\nan edge from node 2 to node 4 with capacity 5,\nan edge from node 3 to node 0 with capacity 2,\nan edge from node 3 to node 1 with capacity 4,\nan edge from node 3 to node 5 with capacity 12,\nan edge from node 3 to node 4 with capacity 20,\nan edge from node 4 to node 6 with capacity 17,\nan edge from node 4 to node 14 with capacity 8,\nan edge from node 4 to node 15 with capacity 17,\nan edge from node 4 to node 7 with capacity 20,\nan edge from node 5 to node 10 with capacity 12,\nan edge from node 5 to node 9 with capacity 4,\nan edge from node 6 to node 11 with capacity 7,\nan edge from node 6 to node 8 with capacity 19,\nan edge from node 6 to node 1 with capacity 7,\nan edge from node 6 to node 9 with capacity 15,\nan edge from node 6 to node 7 with capacity 3,\nan edge from node 7 to node 11 with capacity 12,\nan edge from node 7 to node 1 with capacity 17,\nan edge from node 7 to node 5 with capacity 10,\nan edge from node 7 to node 15 with capacity 2,\nan edge from node 7 to node 4 with capacity 9,\nan edge from node 8 to node 5 with capacity 20,\nan edge from node 8 to node 10 with capacity 13,\nan edge from node 8 to node 12 with capacity 8,\nan edge from node 9 to node 10 with capacity 3,\nan edge from node 9 to node 7 with capacity 14,\nan edge from node 10 to node 6 with capacity 17,\nan edge from node 10 to node 11 with capacity 14,\nan edge from node 10 to node 3 with capacity 17,\nan edge from node 10 to node 12 with capacity 1,\nan edge from node 11 to node 5 with capacity 18,\nan edge from node 11 to node 2 with capacity 11,\nan edge from node 11 to node 4 with capacity 2,\nan edge from node 11 to node 9 with capacity 18,\nan edge from node 12 to node 6 with capacity 20,\nan edge from node 12 to node 3 with capacity 19,\nan edge from node 12 to node 15 with capacity 7,\nan edge from node 13 to node 1 with capacity 3,\nan edge from node 13 to node 12 with capacity 1,\nan edge from node 14 to node 0 with capacity 6,\nan edge from node 14 to node 6 with capacity 14,\nan edge from node 14 to node 12 with capacity 19,\nan edge from node 14 to node 15 with capacity 2,\nan edge from node 15 to node 3 with capacity 19,\nan edge from node 15 to node 5 with capacity 17,\nan edge from node 15 to node 12 with capacity 7,\nan edge from node 15 to node 13 with capacity 12,\nan edge from node 15 to node 9 with capacity 11,\nWhat is the maximum flow from node 9 to node 14:"
            },
            {
                "from": "gpt",
                "value": "17."
            }
        ]
    },
    {
        "id": "flow-hard-graph1068",
        "image": "data/flow/graph_visual/hard/graph1068.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 2 with capacity 6,\nan edge from node 0 to node 17 with capacity 7,\nan edge from node 0 to node 9 with capacity 6,\nan edge from node 0 to node 7 with capacity 9,\nan edge from node 1 to node 6 with capacity 20,\nan edge from node 1 to node 14 with capacity 2,\nan edge from node 1 to node 16 with capacity 1,\nan edge from node 1 to node 8 with capacity 16,\nan edge from node 1 to node 17 with capacity 16,\nan edge from node 1 to node 11 with capacity 3,\nan edge from node 1 to node 0 with capacity 13,\nan edge from node 1 to node 7 with capacity 16,\nan edge from node 2 to node 17 with capacity 4,\nan edge from node 2 to node 1 with capacity 8,\nan edge from node 2 to node 0 with capacity 14,\nan edge from node 2 to node 7 with capacity 15,\nan edge from node 2 to node 12 with capacity 5,\nan edge from node 2 to node 15 with capacity 2,\nan edge from node 3 to node 4 with capacity 17,\nan edge from node 3 to node 13 with capacity 5,\nan edge from node 3 to node 2 with capacity 11,\nan edge from node 3 to node 17 with capacity 12,\nan edge from node 3 to node 0 with capacity 10,\nan edge from node 3 to node 7 with capacity 19,\nan edge from node 4 to node 5 with capacity 8,\nan edge from node 5 to node 14 with capacity 1,\nan edge from node 5 to node 8 with capacity 3,\nan edge from node 5 to node 12 with capacity 18,\nan edge from node 6 to node 3 with capacity 7,\nan edge from node 6 to node 4 with capacity 14,\nan edge from node 6 to node 14 with capacity 8,\nan edge from node 6 to node 16 with capacity 2,\nan edge from node 6 to node 2 with capacity 19,\nan edge from node 7 to node 4 with capacity 13,\nan edge from node 7 to node 13 with capacity 2,\nan edge from node 7 to node 1 with capacity 13,\nan edge from node 8 to node 14 with capacity 19,\nan edge from node 8 to node 10 with capacity 5,\nan edge from node 8 to node 17 with capacity 3,\nan edge from node 8 to node 0 with capacity 20,\nan edge from node 8 to node 15 with capacity 7,\nan edge from node 9 to node 4 with capacity 6,\nan edge from node 9 to node 10 with capacity 6,\nan edge from node 9 to node 11 with capacity 10,\nan edge from node 10 to node 13 with capacity 1,\nan edge from node 10 to node 14 with capacity 10,\nan edge from node 10 to node 17 with capacity 2,\nan edge from node 10 to node 18 with capacity 19,\nan edge from node 10 to node 9 with capacity 8,\nan edge from node 10 to node 0 with capacity 2,\nan edge from node 11 to node 6 with capacity 16,\nan edge from node 11 to node 14 with capacity 6,\nan edge from node 11 to node 16 with capacity 17,\nan edge from node 11 to node 2 with capacity 13,\nan edge from node 11 to node 8 with capacity 10,\nan edge from node 11 to node 9 with capacity 13,\nan edge from node 12 to node 14 with capacity 12,\nan edge from node 12 to node 2 with capacity 14,\nan edge from node 12 to node 8 with capacity 18,\nan edge from node 12 to node 11 with capacity 20,\nan edge from node 12 to node 5 with capacity 6,\nan edge from node 13 to node 6 with capacity 19,\nan edge from node 13 to node 8 with capacity 4,\nan edge from node 13 to node 0 with capacity 11,\nan edge from node 14 to node 16 with capacity 1,\nan edge from node 14 to node 2 with capacity 20,\nan edge from node 14 to node 8 with capacity 20,\nan edge from node 14 to node 17 with capacity 13,\nan edge from node 14 to node 18 with capacity 15,\nan edge from node 14 to node 11 with capacity 1,\nan edge from node 14 to node 9 with capacity 14,\nan edge from node 14 to node 5 with capacity 6,\nan edge from node 14 to node 7 with capacity 5,\nan edge from node 15 to node 6 with capacity 11,\nan edge from node 15 to node 5 with capacity 1,\nan edge from node 15 to node 12 with capacity 7,\nan edge from node 16 to node 10 with capacity 8,\nan edge from node 16 to node 18 with capacity 8,\nan edge from node 16 to node 15 with capacity 4,\nan edge from node 17 to node 8 with capacity 1,\nan edge from node 17 to node 5 with capacity 7,\nan edge from node 18 to node 13 with capacity 19,\nan edge from node 18 to node 14 with capacity 14,\nan edge from node 18 to node 10 with capacity 14,\nWhat is the maximum flow from node 9 to node 11:"
            },
            {
                "from": "gpt",
                "value": "22."
            }
        ]
    },
    {
        "id": "flow-hard-graph852",
        "image": "data/flow/graph_visual/hard/graph852.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 7 with capacity 17,\nan edge from node 0 to node 13 with capacity 9,\nan edge from node 1 to node 9 with capacity 3,\nan edge from node 2 to node 4 with capacity 8,\nan edge from node 2 to node 15 with capacity 20,\nan edge from node 2 to node 5 with capacity 13,\nan edge from node 2 to node 10 with capacity 9,\nan edge from node 2 to node 0 with capacity 5,\nan edge from node 3 to node 15 with capacity 10,\nan edge from node 4 to node 7 with capacity 6,\nan edge from node 4 to node 15 with capacity 11,\nan edge from node 4 to node 1 with capacity 3,\nan edge from node 4 to node 5 with capacity 11,\nan edge from node 4 to node 17 with capacity 4,\nan edge from node 4 to node 12 with capacity 4,\nan edge from node 4 to node 2 with capacity 2,\nan edge from node 5 to node 1 with capacity 19,\nan edge from node 5 to node 17 with capacity 2,\nan edge from node 5 to node 3 with capacity 7,\nan edge from node 5 to node 12 with capacity 8,\nan edge from node 5 to node 11 with capacity 10,\nan edge from node 6 to node 8 with capacity 1,\nan edge from node 6 to node 11 with capacity 12,\nan edge from node 6 to node 16 with capacity 3,\nan edge from node 6 to node 14 with capacity 19,\nan edge from node 7 to node 1 with capacity 16,\nan edge from node 7 to node 6 with capacity 3,\nan edge from node 8 to node 15 with capacity 18,\nan edge from node 9 to node 15 with capacity 12,\nan edge from node 9 to node 3 with capacity 2,\nan edge from node 9 to node 8 with capacity 16,\nan edge from node 9 to node 10 with capacity 1,\nan edge from node 9 to node 16 with capacity 14,\nan edge from node 10 to node 7 with capacity 17,\nan edge from node 10 to node 13 with capacity 15,\nan edge from node 10 to node 6 with capacity 18,\nan edge from node 11 to node 4 with capacity 17,\nan edge from node 11 to node 5 with capacity 18,\nan edge from node 11 to node 8 with capacity 10,\nan edge from node 11 to node 13 with capacity 12,\nan edge from node 11 to node 0 with capacity 7,\nan edge from node 12 to node 4 with capacity 2,\nan edge from node 12 to node 15 with capacity 2,\nan edge from node 12 to node 13 with capacity 2,\nan edge from node 13 to node 7 with capacity 10,\nan edge from node 13 to node 3 with capacity 18,\nan edge from node 13 to node 12 with capacity 5,\nan edge from node 13 to node 16 with capacity 6,\nan edge from node 14 to node 7 with capacity 8,\nan edge from node 14 to node 4 with capacity 12,\nan edge from node 14 to node 17 with capacity 17,\nan edge from node 14 to node 3 with capacity 1,\nan edge from node 14 to node 0 with capacity 5,\nan edge from node 15 to node 12 with capacity 4,\nan edge from node 15 to node 6 with capacity 1,\nan edge from node 16 to node 15 with capacity 16,\nan edge from node 16 to node 5 with capacity 20,\nan edge from node 17 to node 7 with capacity 19,\nan edge from node 17 to node 4 with capacity 7,\nan edge from node 17 to node 15 with capacity 12,\nan edge from node 17 to node 0 with capacity 1,\nWhat is the maximum flow from node 13 to node 10:"
            },
            {
                "from": "gpt",
                "value": "3."
            }
        ]
    },
    {
        "id": "flow-hard-graph98",
        "image": "data/flow/graph_visual/hard/graph98.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 1 to node 10 with capacity 16,\nan edge from node 1 to node 5 with capacity 20,\nan edge from node 2 to node 10 with capacity 11,\nan edge from node 2 to node 0 with capacity 13,\nan edge from node 3 to node 7 with capacity 19,\nan edge from node 4 to node 0 with capacity 7,\nan edge from node 5 to node 1 with capacity 3,\nan edge from node 5 to node 8 with capacity 5,\nan edge from node 6 to node 5 with capacity 5,\nan edge from node 6 to node 1 with capacity 6,\nan edge from node 6 to node 0 with capacity 11,\nan edge from node 7 to node 2 with capacity 4,\nan edge from node 7 to node 10 with capacity 16,\nan edge from node 7 to node 5 with capacity 9,\nan edge from node 7 to node 1 with capacity 6,\nan edge from node 7 to node 4 with capacity 9,\nan edge from node 7 to node 3 with capacity 20,\nan edge from node 8 to node 7 with capacity 14,\nan edge from node 8 to node 5 with capacity 3,\nan edge from node 9 to node 10 with capacity 4,\nan edge from node 9 to node 1 with capacity 6,\nan edge from node 10 to node 7 with capacity 7,\nan edge from node 10 to node 9 with capacity 1,\nWhat is the maximum flow from node 7 to node 10:"
            },
            {
                "from": "gpt",
                "value": "29."
            }
        ]
    },
    {
        "id": "flow-hard-graph527",
        "image": "data/flow/graph_visual/hard/graph527.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 9 with capacity 7,\nan edge from node 0 to node 13 with capacity 6,\nan edge from node 0 to node 10 with capacity 19,\nan edge from node 0 to node 1 with capacity 4,\nan edge from node 1 to node 13 with capacity 4,\nan edge from node 1 to node 11 with capacity 9,\nan edge from node 1 to node 7 with capacity 3,\nan edge from node 1 to node 3 with capacity 5,\nan edge from node 2 to node 5 with capacity 7,\nan edge from node 3 to node 12 with capacity 8,\nan edge from node 3 to node 6 with capacity 12,\nan edge from node 4 to node 10 with capacity 15,\nan edge from node 4 to node 3 with capacity 16,\nan edge from node 5 to node 4 with capacity 6,\nan edge from node 6 to node 4 with capacity 3,\nan edge from node 7 to node 5 with capacity 13,\nan edge from node 7 to node 8 with capacity 17,\nan edge from node 7 to node 12 with capacity 12,\nan edge from node 8 to node 13 with capacity 11,\nan edge from node 8 to node 10 with capacity 15,\nan edge from node 9 to node 5 with capacity 10,\nan edge from node 9 to node 0 with capacity 6,\nan edge from node 9 to node 14 with capacity 8,\nan edge from node 10 to node 0 with capacity 15,\nan edge from node 10 to node 14 with capacity 7,\nan edge from node 10 to node 7 with capacity 5,\nan edge from node 10 to node 1 with capacity 7,\nan edge from node 11 to node 13 with capacity 20,\nan edge from node 11 to node 10 with capacity 12,\nan edge from node 11 to node 2 with capacity 19,\nan edge from node 11 to node 6 with capacity 13,\nan edge from node 12 to node 9 with capacity 13,\nan edge from node 12 to node 11 with capacity 2,\nan edge from node 12 to node 1 with capacity 17,\nan edge from node 13 to node 4 with capacity 8,\nan edge from node 13 to node 2 with capacity 8,\nan edge from node 13 to node 6 with capacity 14,\nan edge from node 13 to node 7 with capacity 18,\nan edge from node 14 to node 12 with capacity 13,\nan edge from node 14 to node 7 with capacity 4,\nWhat is the maximum flow from node 0 to node 7:"
            },
            {
                "from": "gpt",
                "value": "30."
            }
        ]
    },
    {
        "id": "flow-hard-graph466",
        "image": "data/flow/graph_visual/hard/graph466.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 1 with capacity 13,\nan edge from node 0 to node 13 with capacity 15,\nan edge from node 0 to node 11 with capacity 8,\nan edge from node 1 to node 3 with capacity 6,\nan edge from node 1 to node 11 with capacity 20,\nan edge from node 2 to node 7 with capacity 4,\nan edge from node 2 to node 4 with capacity 17,\nan edge from node 2 to node 3 with capacity 11,\nan edge from node 2 to node 6 with capacity 9,\nan edge from node 2 to node 8 with capacity 11,\nan edge from node 2 to node 0 with capacity 15,\nan edge from node 3 to node 4 with capacity 17,\nan edge from node 3 to node 12 with capacity 19,\nan edge from node 3 to node 11 with capacity 3,\nan edge from node 3 to node 0 with capacity 6,\nan edge from node 4 to node 7 with capacity 10,\nan edge from node 4 to node 1 with capacity 13,\nan edge from node 4 to node 5 with capacity 15,\nan edge from node 4 to node 11 with capacity 3,\nan edge from node 4 to node 0 with capacity 16,\nan edge from node 5 to node 4 with capacity 13,\nan edge from node 5 to node 8 with capacity 9,\nan edge from node 5 to node 11 with capacity 2,\nan edge from node 6 to node 13 with capacity 6,\nan edge from node 6 to node 12 with capacity 20,\nan edge from node 6 to node 10 with capacity 6,\nan edge from node 7 to node 3 with capacity 19,\nan edge from node 7 to node 6 with capacity 18,\nan edge from node 7 to node 13 with capacity 15,\nan edge from node 7 to node 10 with capacity 17,\nan edge from node 8 to node 7 with capacity 15,\nan edge from node 8 to node 12 with capacity 6,\nan edge from node 8 to node 9 with capacity 18,\nan edge from node 9 to node 1 with capacity 16,\nan edge from node 9 to node 3 with capacity 19,\nan edge from node 10 to node 3 with capacity 11,\nan edge from node 10 to node 6 with capacity 12,\nan edge from node 10 to node 2 with capacity 9,\nan edge from node 10 to node 8 with capacity 15,\nan edge from node 10 to node 11 with capacity 19,\nan edge from node 11 to node 7 with capacity 16,\nan edge from node 11 to node 10 with capacity 10,\nan edge from node 11 to node 8 with capacity 15,\nan edge from node 11 to node 0 with capacity 2,\nan edge from node 11 to node 9 with capacity 8,\nan edge from node 12 to node 1 with capacity 19,\nan edge from node 12 to node 6 with capacity 11,\nan edge from node 12 to node 13 with capacity 5,\nan edge from node 12 to node 2 with capacity 3,\nan edge from node 13 to node 7 with capacity 4,\nan edge from node 13 to node 8 with capacity 3,\nWhat is the maximum flow from node 9 to node 5:"
            },
            {
                "from": "gpt",
                "value": "15."
            }
        ]
    },
    {
        "id": "flow-hard-graph761",
        "image": "data/flow/graph_visual/hard/graph761.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 4 with capacity 5,\nan edge from node 0 to node 16 with capacity 13,\nan edge from node 0 to node 11 with capacity 8,\nan edge from node 0 to node 14 with capacity 16,\nan edge from node 1 to node 4 with capacity 14,\nan edge from node 1 to node 11 with capacity 11,\nan edge from node 1 to node 3 with capacity 9,\nan edge from node 1 to node 13 with capacity 18,\nan edge from node 1 to node 14 with capacity 9,\nan edge from node 1 to node 6 with capacity 20,\nan edge from node 2 to node 6 with capacity 16,\nan edge from node 3 to node 9 with capacity 1,\nan edge from node 3 to node 10 with capacity 13,\nan edge from node 3 to node 0 with capacity 8,\nan edge from node 3 to node 14 with capacity 1,\nan edge from node 4 to node 16 with capacity 4,\nan edge from node 4 to node 2 with capacity 16,\nan edge from node 4 to node 15 with capacity 8,\nan edge from node 5 to node 6 with capacity 3,\nan edge from node 6 to node 5 with capacity 15,\nan edge from node 6 to node 11 with capacity 13,\nan edge from node 6 to node 3 with capacity 6,\nan edge from node 6 to node 14 with capacity 9,\nan edge from node 7 to node 5 with capacity 9,\nan edge from node 7 to node 10 with capacity 10,\nan edge from node 7 to node 15 with capacity 12,\nan edge from node 7 to node 13 with capacity 16,\nan edge from node 8 to node 4 with capacity 10,\nan edge from node 8 to node 12 with capacity 4,\nan edge from node 8 to node 16 with capacity 9,\nan edge from node 8 to node 11 with capacity 10,\nan edge from node 9 to node 4 with capacity 10,\nan edge from node 9 to node 16 with capacity 11,\nan edge from node 9 to node 10 with capacity 11,\nan edge from node 9 to node 8 with capacity 6,\nan edge from node 9 to node 7 with capacity 8,\nan edge from node 9 to node 1 with capacity 5,\nan edge from node 9 to node 15 with capacity 15,\nan edge from node 9 to node 13 with capacity 8,\nan edge from node 9 to node 0 with capacity 8,\nan edge from node 9 to node 6 with capacity 14,\nan edge from node 10 to node 12 with capacity 2,\nan edge from node 10 to node 2 with capacity 16,\nan edge from node 10 to node 8 with capacity 9,\nan edge from node 10 to node 1 with capacity 7,\nan edge from node 11 to node 2 with capacity 14,\nan edge from node 11 to node 8 with capacity 5,\nan edge from node 11 to node 0 with capacity 12,\nan edge from node 12 to node 16 with capacity 15,\nan edge from node 12 to node 11 with capacity 17,\nan edge from node 12 to node 9 with capacity 15,\nan edge from node 12 to node 10 with capacity 1,\nan edge from node 12 to node 7 with capacity 19,\nan edge from node 12 to node 13 with capacity 18,\nan edge from node 12 to node 6 with capacity 14,\nan edge from node 13 to node 4 with capacity 5,\nan edge from node 13 to node 5 with capacity 5,\nan edge from node 13 to node 9 with capacity 15,\nan edge from node 13 to node 0 with capacity 14,\nan edge from node 13 to node 14 with capacity 14,\nan edge from node 14 to node 4 with capacity 20,\nan edge from node 14 to node 2 with capacity 16,\nan edge from node 14 to node 9 with capacity 16,\nan edge from node 14 to node 10 with capacity 5,\nan edge from node 14 to node 1 with capacity 18,\nan edge from node 15 to node 4 with capacity 1,\nan edge from node 15 to node 11 with capacity 9,\nan edge from node 15 to node 3 with capacity 18,\nan edge from node 15 to node 10 with capacity 16,\nan edge from node 15 to node 6 with capacity 12,\nan edge from node 16 to node 5 with capacity 4,\nan edge from node 16 to node 11 with capacity 2,\nan edge from node 16 to node 7 with capacity 4,\nan edge from node 16 to node 15 with capacity 7,\nan edge from node 16 to node 14 with capacity 7,\nan edge from node 16 to node 6 with capacity 19,\nWhat is the maximum flow from node 4 to node 13:"
            },
            {
                "from": "gpt",
                "value": "28."
            }
        ]
    },
    {
        "id": "flow-hard-graph344",
        "image": "data/flow/graph_visual/hard/graph344.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 9 with capacity 19,\nan edge from node 0 to node 2 with capacity 7,\nan edge from node 0 to node 7 with capacity 17,\nan edge from node 0 to node 11 with capacity 1,\nan edge from node 1 to node 4 with capacity 20,\nan edge from node 1 to node 9 with capacity 4,\nan edge from node 1 to node 5 with capacity 20,\nan edge from node 1 to node 8 with capacity 7,\nan edge from node 1 to node 11 with capacity 7,\nan edge from node 1 to node 10 with capacity 19,\nan edge from node 1 to node 6 with capacity 20,\nan edge from node 2 to node 4 with capacity 11,\nan edge from node 2 to node 5 with capacity 18,\nan edge from node 2 to node 7 with capacity 2,\nan edge from node 2 to node 10 with capacity 14,\nan edge from node 2 to node 3 with capacity 1,\nan edge from node 3 to node 8 with capacity 9,\nan edge from node 3 to node 6 with capacity 2,\nan edge from node 4 to node 2 with capacity 8,\nan edge from node 4 to node 7 with capacity 15,\nan edge from node 5 to node 2 with capacity 14,\nan edge from node 5 to node 6 with capacity 20,\nan edge from node 6 to node 12 with capacity 11,\nan edge from node 6 to node 1 with capacity 9,\nan edge from node 7 to node 12 with capacity 17,\nan edge from node 8 to node 12 with capacity 11,\nan edge from node 8 to node 5 with capacity 16,\nan edge from node 9 to node 12 with capacity 8,\nan edge from node 9 to node 2 with capacity 4,\nan edge from node 9 to node 8 with capacity 9,\nan edge from node 9 to node 11 with capacity 14,\nan edge from node 9 to node 10 with capacity 9,\nan edge from node 9 to node 3 with capacity 2,\nan edge from node 10 to node 12 with capacity 8,\nan edge from node 10 to node 9 with capacity 20,\nan edge from node 10 to node 7 with capacity 11,\nan edge from node 10 to node 0 with capacity 5,\nan edge from node 10 to node 3 with capacity 7,\nan edge from node 11 to node 12 with capacity 11,\nan edge from node 11 to node 1 with capacity 1,\nan edge from node 11 to node 7 with capacity 8,\nan edge from node 11 to node 10 with capacity 18,\nan edge from node 12 to node 2 with capacity 5,\nan edge from node 12 to node 1 with capacity 3,\nan edge from node 12 to node 8 with capacity 13,\nWhat is the maximum flow from node 10 to node 11:"
            },
            {
                "from": "gpt",
                "value": "22."
            }
        ]
    },
    {
        "id": "flow-hard-graph1125",
        "image": "data/flow/graph_visual/hard/graph1125.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 1 with capacity 10,\nan edge from node 0 to node 6 with capacity 1,\nan edge from node 0 to node 4 with capacity 3,\nan edge from node 0 to node 8 with capacity 7,\nan edge from node 1 to node 19 with capacity 5,\nan edge from node 1 to node 9 with capacity 8,\nan edge from node 1 to node 2 with capacity 2,\nan edge from node 1 to node 0 with capacity 17,\nan edge from node 1 to node 5 with capacity 9,\nan edge from node 2 to node 19 with capacity 7,\nan edge from node 2 to node 6 with capacity 6,\nan edge from node 3 to node 12 with capacity 16,\nan edge from node 3 to node 9 with capacity 5,\nan edge from node 3 to node 1 with capacity 9,\nan edge from node 3 to node 17 with capacity 9,\nan edge from node 3 to node 15 with capacity 3,\nan edge from node 3 to node 5 with capacity 11,\nan edge from node 3 to node 11 with capacity 6,\nan edge from node 4 to node 16 with capacity 11,\nan edge from node 4 to node 0 with capacity 20,\nan edge from node 5 to node 12 with capacity 8,\nan edge from node 5 to node 1 with capacity 6,\nan edge from node 5 to node 14 with capacity 14,\nan edge from node 5 to node 4 with capacity 15,\nan edge from node 5 to node 2 with capacity 11,\nan edge from node 5 to node 13 with capacity 14,\nan edge from node 5 to node 10 with capacity 15,\nan edge from node 5 to node 7 with capacity 2,\nan edge from node 5 to node 11 with capacity 12,\nan edge from node 6 to node 19 with capacity 5,\nan edge from node 6 to node 12 with capacity 19,\nan edge from node 6 to node 9 with capacity 10,\nan edge from node 6 to node 16 with capacity 1,\nan edge from node 6 to node 1 with capacity 9,\nan edge from node 6 to node 14 with capacity 3,\nan edge from node 6 to node 2 with capacity 2,\nan edge from node 6 to node 13 with capacity 10,\nan edge from node 6 to node 7 with capacity 9,\nan edge from node 6 to node 5 with capacity 5,\nan edge from node 7 to node 18 with capacity 18,\nan edge from node 7 to node 12 with capacity 6,\nan edge from node 7 to node 10 with capacity 17,\nan edge from node 7 to node 5 with capacity 18,\nan edge from node 7 to node 11 with capacity 11,\nan edge from node 8 to node 18 with capacity 15,\nan edge from node 8 to node 9 with capacity 4,\nan edge from node 8 to node 6 with capacity 8,\nan edge from node 8 to node 17 with capacity 11,\nan edge from node 8 to node 0 with capacity 4,\nan edge from node 8 to node 10 with capacity 6,\nan edge from node 8 to node 5 with capacity 18,\nan edge from node 9 to node 18 with capacity 11,\nan edge from node 9 to node 4 with capacity 17,\nan edge from node 9 to node 7 with capacity 4,\nan edge from node 10 to node 18 with capacity 12,\nan edge from node 10 to node 12 with capacity 12,\nan edge from node 10 to node 9 with capacity 13,\nan edge from node 11 to node 19 with capacity 17,\nan edge from node 11 to node 1 with capacity 12,\nan edge from node 11 to node 14 with capacity 3,\nan edge from node 11 to node 17 with capacity 15,\nan edge from node 11 to node 2 with capacity 7,\nan edge from node 11 to node 10 with capacity 1,\nan edge from node 12 to node 18 with capacity 14,\nan edge from node 12 to node 14 with capacity 7,\nan edge from node 12 to node 13 with capacity 17,\nan edge from node 12 to node 15 with capacity 4,\nan edge from node 12 to node 11 with capacity 18,\nan edge from node 13 to node 4 with capacity 11,\nan edge from node 13 to node 2 with capacity 9,\nan edge from node 13 to node 0 with capacity 20,\nan edge from node 13 to node 8 with capacity 12,\nan edge from node 13 to node 3 with capacity 3,\nan edge from node 13 to node 10 with capacity 8,\nan edge from node 13 to node 5 with capacity 15,\nan edge from node 14 to node 19 with capacity 6,\nan edge from node 14 to node 12 with capacity 19,\nan edge from node 14 to node 1 with capacity 12,\nan edge from node 14 to node 17 with capacity 15,\nan edge from node 14 to node 2 with capacity 7,\nan edge from node 14 to node 8 with capacity 18,\nan edge from node 14 to node 10 with capacity 10,\nan edge from node 14 to node 7 with capacity 8,\nan edge from node 15 to node 9 with capacity 12,\nan edge from node 15 to node 14 with capacity 13,\nan edge from node 15 to node 2 with capacity 14,\nan edge from node 15 to node 8 with capacity 13,\nan edge from node 15 to node 3 with capacity 10,\nan edge from node 15 to node 10 with capacity 17,\nan edge from node 15 to node 7 with capacity 17,\nan edge from node 16 to node 12 with capacity 14,\nan edge from node 16 to node 6 with capacity 7,\nan edge from node 16 to node 17 with capacity 6,\nan edge from node 16 to node 8 with capacity 3,\nan edge from node 16 to node 10 with capacity 10,\nan edge from node 16 to node 7 with capacity 11,\nan edge from node 16 to node 11 with capacity 18,\nan edge from node 17 to node 2 with capacity 9,\nan edge from node 17 to node 13 with capacity 14,\nan edge from node 17 to node 7 with capacity 16,\nan edge from node 18 to node 12 with capacity 11,\nan edge from node 18 to node 1 with capacity 14,\nan edge from node 18 to node 6 with capacity 3,\nan edge from node 18 to node 4 with capacity 12,\nan edge from node 18 to node 3 with capacity 8,\nan edge from node 19 to node 18 with capacity 10,\nan edge from node 19 to node 1 with capacity 4,\nan edge from node 19 to node 6 with capacity 4,\nan edge from node 19 to node 17 with capacity 17,\nan edge from node 19 to node 0 with capacity 9,\nan edge from node 19 to node 13 with capacity 5,\nan edge from node 19 to node 3 with capacity 11,\nan edge from node 19 to node 15 with capacity 9,\nWhat is the maximum flow from node 18 to node 14:"
            },
            {
                "from": "gpt",
                "value": "40."
            }
        ]
    },
    {
        "id": "flow-hard-graph483",
        "image": "data/flow/graph_visual/hard/graph483.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 2 with capacity 11,\nan edge from node 0 to node 1 with capacity 4,\nan edge from node 1 to node 13 with capacity 11,\nan edge from node 1 to node 8 with capacity 18,\nan edge from node 1 to node 11 with capacity 10,\nan edge from node 1 to node 6 with capacity 8,\nan edge from node 2 to node 7 with capacity 7,\nan edge from node 3 to node 13 with capacity 2,\nan edge from node 3 to node 2 with capacity 11,\nan edge from node 3 to node 5 with capacity 5,\nan edge from node 3 to node 6 with capacity 1,\nan edge from node 3 to node 1 with capacity 18,\nan edge from node 4 to node 6 with capacity 16,\nan edge from node 5 to node 7 with capacity 1,\nan edge from node 5 to node 4 with capacity 2,\nan edge from node 5 to node 9 with capacity 17,\nan edge from node 6 to node 2 with capacity 3,\nan edge from node 6 to node 8 with capacity 9,\nan edge from node 6 to node 11 with capacity 14,\nan edge from node 6 to node 12 with capacity 5,\nan edge from node 6 to node 5 with capacity 5,\nan edge from node 6 to node 0 with capacity 16,\nan edge from node 7 to node 13 with capacity 11,\nan edge from node 7 to node 9 with capacity 11,\nan edge from node 7 to node 2 with capacity 9,\nan edge from node 7 to node 11 with capacity 6,\nan edge from node 7 to node 1 with capacity 3,\nan edge from node 8 to node 13 with capacity 10,\nan edge from node 8 to node 9 with capacity 17,\nan edge from node 8 to node 5 with capacity 1,\nan edge from node 8 to node 6 with capacity 19,\nan edge from node 8 to node 1 with capacity 3,\nan edge from node 9 to node 3 with capacity 9,\nan edge from node 9 to node 6 with capacity 16,\nan edge from node 9 to node 0 with capacity 1,\nan edge from node 9 to node 1 with capacity 8,\nan edge from node 10 to node 3 with capacity 20,\nan edge from node 10 to node 2 with capacity 19,\nan edge from node 11 to node 10 with capacity 9,\nan edge from node 11 to node 5 with capacity 19,\nan edge from node 11 to node 0 with capacity 7,\nan edge from node 12 to node 10 with capacity 5,\nan edge from node 12 to node 4 with capacity 15,\nan edge from node 12 to node 3 with capacity 14,\nan edge from node 12 to node 8 with capacity 20,\nan edge from node 12 to node 14 with capacity 5,\nan edge from node 13 to node 10 with capacity 19,\nan edge from node 13 to node 3 with capacity 15,\nan edge from node 13 to node 0 with capacity 3,\nan edge from node 14 to node 7 with capacity 3,\nan edge from node 14 to node 9 with capacity 7,\nan edge from node 14 to node 1 with capacity 3,\nWhat is the maximum flow from node 14 to node 2:"
            },
            {
                "from": "gpt",
                "value": "13."
            }
        ]
    },
    {
        "id": "flow-hard-graph604",
        "image": "data/flow/graph_visual/hard/graph604.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 9 with capacity 5,\nan edge from node 0 to node 2 with capacity 17,\nan edge from node 0 to node 15 with capacity 7,\nan edge from node 0 to node 1 with capacity 9,\nan edge from node 0 to node 3 with capacity 19,\nan edge from node 0 to node 7 with capacity 18,\nan edge from node 0 to node 10 with capacity 8,\nan edge from node 1 to node 2 with capacity 12,\nan edge from node 1 to node 15 with capacity 20,\nan edge from node 2 to node 8 with capacity 7,\nan edge from node 2 to node 0 with capacity 17,\nan edge from node 2 to node 9 with capacity 6,\nan edge from node 2 to node 6 with capacity 15,\nan edge from node 2 to node 3 with capacity 17,\nan edge from node 2 to node 7 with capacity 13,\nan edge from node 2 to node 12 with capacity 12,\nan edge from node 3 to node 14 with capacity 13,\nan edge from node 3 to node 15 with capacity 10,\nan edge from node 3 to node 4 with capacity 5,\nan edge from node 3 to node 10 with capacity 10,\nan edge from node 4 to node 8 with capacity 11,\nan edge from node 4 to node 9 with capacity 2,\nan edge from node 4 to node 2 with capacity 15,\nan edge from node 4 to node 3 with capacity 6,\nan edge from node 4 to node 7 with capacity 5,\nan edge from node 5 to node 14 with capacity 13,\nan edge from node 5 to node 15 with capacity 15,\nan edge from node 5 to node 11 with capacity 17,\nan edge from node 5 to node 7 with capacity 7,\nan edge from node 5 to node 13 with capacity 20,\nan edge from node 6 to node 5 with capacity 6,\nan edge from node 6 to node 9 with capacity 1,\nan edge from node 6 to node 11 with capacity 20,\nan edge from node 6 to node 12 with capacity 16,\nan edge from node 7 to node 5 with capacity 15,\nan edge from node 7 to node 14 with capacity 7,\nan edge from node 8 to node 1 with capacity 15,\nan edge from node 8 to node 11 with capacity 6,\nan edge from node 8 to node 13 with capacity 12,\nan edge from node 9 to node 0 with capacity 3,\nan edge from node 9 to node 6 with capacity 16,\nan edge from node 9 to node 13 with capacity 5,\nan edge from node 9 to node 12 with capacity 17,\nan edge from node 10 to node 4 with capacity 19,\nan edge from node 10 to node 3 with capacity 14,\nan edge from node 10 to node 12 with capacity 12,\nan edge from node 11 to node 5 with capacity 6,\nan edge from node 11 to node 14 with capacity 1,\nan edge from node 11 to node 9 with capacity 6,\nan edge from node 11 to node 2 with capacity 19,\nan edge from node 11 to node 7 with capacity 6,\nan edge from node 11 to node 12 with capacity 15,\nan edge from node 12 to node 5 with capacity 11,\nan edge from node 12 to node 6 with capacity 8,\nan edge from node 12 to node 15 with capacity 7,\nan edge from node 12 to node 11 with capacity 1,\nan edge from node 12 to node 13 with capacity 15,\nan edge from node 13 to node 14 with capacity 7,\nan edge from node 13 to node 15 with capacity 10,\nan edge from node 13 to node 3 with capacity 2,\nan edge from node 13 to node 11 with capacity 16,\nan edge from node 13 to node 7 with capacity 4,\nan edge from node 13 to node 12 with capacity 16,\nan edge from node 14 to node 0 with capacity 2,\nan edge from node 14 to node 15 with capacity 2,\nan edge from node 14 to node 3 with capacity 6,\nan edge from node 14 to node 7 with capacity 3,\nan edge from node 14 to node 13 with capacity 12,\nan edge from node 14 to node 12 with capacity 15,\nan edge from node 15 to node 14 with capacity 9,\nan edge from node 15 to node 1 with capacity 16,\nan edge from node 15 to node 7 with capacity 16,\nWhat is the maximum flow from node 12 to node 8:"
            },
            {
                "from": "gpt",
                "value": "18."
            }
        ]
    },
    {
        "id": "flow-hard-graph267",
        "image": "data/flow/graph_visual/hard/graph267.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 12 with capacity 17,\nan edge from node 0 to node 8 with capacity 13,\nan edge from node 1 to node 11 with capacity 13,\nan edge from node 2 to node 11 with capacity 15,\nan edge from node 2 to node 8 with capacity 20,\nan edge from node 2 to node 7 with capacity 10,\nan edge from node 3 to node 0 with capacity 9,\nan edge from node 3 to node 2 with capacity 7,\nan edge from node 3 to node 1 with capacity 10,\nan edge from node 4 to node 10 with capacity 13,\nan edge from node 5 to node 6 with capacity 6,\nan edge from node 5 to node 9 with capacity 6,\nan edge from node 5 to node 11 with capacity 16,\nan edge from node 5 to node 8 with capacity 5,\nan edge from node 6 to node 9 with capacity 4,\nan edge from node 6 to node 1 with capacity 9,\nan edge from node 6 to node 7 with capacity 10,\nan edge from node 7 to node 4 with capacity 11,\nan edge from node 7 to node 11 with capacity 17,\nan edge from node 7 to node 3 with capacity 18,\nan edge from node 8 to node 0 with capacity 2,\nan edge from node 8 to node 2 with capacity 3,\nan edge from node 8 to node 6 with capacity 11,\nan edge from node 8 to node 9 with capacity 4,\nan edge from node 8 to node 11 with capacity 20,\nan edge from node 8 to node 7 with capacity 12,\nan edge from node 8 to node 5 with capacity 10,\nan edge from node 8 to node 3 with capacity 5,\nan edge from node 9 to node 2 with capacity 13,\nan edge from node 9 to node 1 with capacity 16,\nan edge from node 10 to node 0 with capacity 20,\nan edge from node 10 to node 2 with capacity 18,\nan edge from node 10 to node 12 with capacity 15,\nan edge from node 10 to node 6 with capacity 17,\nan edge from node 10 to node 8 with capacity 9,\nan edge from node 10 to node 5 with capacity 8,\nan edge from node 11 to node 6 with capacity 4,\nan edge from node 11 to node 7 with capacity 8,\nan edge from node 11 to node 3 with capacity 12,\nan edge from node 12 to node 6 with capacity 8,\nan edge from node 12 to node 9 with capacity 12,\nan edge from node 12 to node 5 with capacity 5,\nWhat is the maximum flow from node 2 to node 3:"
            },
            {
                "from": "gpt",
                "value": "35."
            }
        ]
    },
    {
        "id": "flow-hard-graph545",
        "image": "data/flow/graph_visual/hard/graph545.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 8 with capacity 5,\nan edge from node 0 to node 11 with capacity 1,\nan edge from node 1 to node 2 with capacity 17,\nan edge from node 1 to node 4 with capacity 2,\nan edge from node 2 to node 12 with capacity 13,\nan edge from node 2 to node 5 with capacity 2,\nan edge from node 2 to node 0 with capacity 5,\nan edge from node 3 to node 1 with capacity 11,\nan edge from node 3 to node 4 with capacity 5,\nan edge from node 4 to node 2 with capacity 19,\nan edge from node 4 to node 3 with capacity 1,\nan edge from node 5 to node 2 with capacity 11,\nan edge from node 5 to node 4 with capacity 12,\nan edge from node 6 to node 13 with capacity 16,\nan edge from node 6 to node 11 with capacity 5,\nan edge from node 6 to node 0 with capacity 8,\nan edge from node 6 to node 2 with capacity 17,\nan edge from node 6 to node 3 with capacity 17,\nan edge from node 6 to node 4 with capacity 8,\nan edge from node 7 to node 6 with capacity 3,\nan edge from node 7 to node 12 with capacity 10,\nan edge from node 7 to node 5 with capacity 17,\nan edge from node 7 to node 4 with capacity 12,\nan edge from node 8 to node 2 with capacity 9,\nan edge from node 8 to node 3 with capacity 14,\nan edge from node 8 to node 10 with capacity 14,\nan edge from node 9 to node 11 with capacity 14,\nan edge from node 9 to node 5 with capacity 15,\nan edge from node 9 to node 10 with capacity 18,\nan edge from node 9 to node 4 with capacity 1,\nan edge from node 10 to node 12 with capacity 3,\nan edge from node 10 to node 8 with capacity 13,\nan edge from node 10 to node 9 with capacity 4,\nan edge from node 11 to node 7 with capacity 14,\nan edge from node 11 to node 3 with capacity 13,\nan edge from node 12 to node 8 with capacity 1,\nan edge from node 12 to node 11 with capacity 3,\nan edge from node 12 to node 1 with capacity 6,\nan edge from node 12 to node 3 with capacity 12,\nan edge from node 13 to node 8 with capacity 9,\nan edge from node 13 to node 0 with capacity 17,\nan edge from node 13 to node 4 with capacity 6,\nan edge from node 14 to node 9 with capacity 11,\nan edge from node 14 to node 3 with capacity 13,\nan edge from node 14 to node 4 with capacity 9,\nWhat is the maximum flow from node 11 to node 8:"
            },
            {
                "from": "gpt",
                "value": "9."
            }
        ]
    },
    {
        "id": "flow-hard-graph1182",
        "image": "data/flow/graph_visual/hard/graph1182.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 18 with capacity 4,\nan edge from node 0 to node 3 with capacity 16,\nan edge from node 0 to node 9 with capacity 8,\nan edge from node 0 to node 6 with capacity 8,\nan edge from node 0 to node 19 with capacity 20,\nan edge from node 0 to node 12 with capacity 7,\nan edge from node 0 to node 13 with capacity 2,\nan edge from node 0 to node 14 with capacity 14,\nan edge from node 1 to node 18 with capacity 16,\nan edge from node 1 to node 3 with capacity 7,\nan edge from node 1 to node 13 with capacity 3,\nan edge from node 1 to node 14 with capacity 8,\nan edge from node 2 to node 3 with capacity 4,\nan edge from node 2 to node 15 with capacity 2,\nan edge from node 2 to node 8 with capacity 6,\nan edge from node 2 to node 7 with capacity 4,\nan edge from node 3 to node 5 with capacity 9,\nan edge from node 3 to node 11 with capacity 10,\nan edge from node 3 to node 8 with capacity 17,\nan edge from node 3 to node 7 with capacity 7,\nan edge from node 4 to node 18 with capacity 20,\nan edge from node 4 to node 11 with capacity 14,\nan edge from node 4 to node 8 with capacity 19,\nan edge from node 4 to node 19 with capacity 16,\nan edge from node 5 to node 3 with capacity 6,\nan edge from node 5 to node 9 with capacity 10,\nan edge from node 5 to node 15 with capacity 18,\nan edge from node 5 to node 6 with capacity 13,\nan edge from node 5 to node 12 with capacity 11,\nan edge from node 5 to node 0 with capacity 5,\nan edge from node 5 to node 2 with capacity 19,\nan edge from node 6 to node 18 with capacity 9,\nan edge from node 6 to node 16 with capacity 19,\nan edge from node 6 to node 5 with capacity 20,\nan edge from node 6 to node 4 with capacity 7,\nan edge from node 6 to node 10 with capacity 5,\nan edge from node 6 to node 7 with capacity 14,\nan edge from node 7 to node 6 with capacity 14,\nan edge from node 7 to node 1 with capacity 6,\nan edge from node 8 to node 0 with capacity 12,\nan edge from node 8 to node 7 with capacity 3,\nan edge from node 8 to node 2 with capacity 6,\nan edge from node 9 to node 18 with capacity 18,\nan edge from node 9 to node 16 with capacity 18,\nan edge from node 9 to node 5 with capacity 17,\nan edge from node 9 to node 19 with capacity 8,\nan edge from node 9 to node 14 with capacity 11,\nan edge from node 10 to node 5 with capacity 12,\nan edge from node 10 to node 15 with capacity 1,\nan edge from node 10 to node 1 with capacity 1,\nan edge from node 11 to node 16 with capacity 10,\nan edge from node 11 to node 3 with capacity 19,\nan edge from node 11 to node 9 with capacity 12,\nan edge from node 11 to node 10 with capacity 7,\nan edge from node 11 to node 15 with capacity 20,\nan edge from node 11 to node 0 with capacity 9,\nan edge from node 11 to node 17 with capacity 6,\nan edge from node 11 to node 14 with capacity 3,\nan edge from node 12 to node 3 with capacity 13,\nan edge from node 12 to node 15 with capacity 17,\nan edge from node 12 to node 8 with capacity 14,\nan edge from node 12 to node 2 with capacity 9,\nan edge from node 13 to node 18 with capacity 17,\nan edge from node 13 to node 4 with capacity 2,\nan edge from node 13 to node 11 with capacity 4,\nan edge from node 13 to node 19 with capacity 13,\nan edge from node 13 to node 17 with capacity 12,\nan edge from node 13 to node 2 with capacity 6,\nan edge from node 14 to node 3 with capacity 5,\nan edge from node 14 to node 9 with capacity 20,\nan edge from node 14 to node 15 with capacity 6,\nan edge from node 14 to node 11 with capacity 12,\nan edge from node 14 to node 19 with capacity 12,\nan edge from node 14 to node 1 with capacity 17,\nan edge from node 15 to node 5 with capacity 4,\nan edge from node 15 to node 7 with capacity 7,\nan edge from node 15 to node 13 with capacity 14,\nan edge from node 16 to node 5 with capacity 5,\nan edge from node 16 to node 15 with capacity 15,\nan edge from node 16 to node 11 with capacity 14,\nan edge from node 16 to node 12 with capacity 16,\nan edge from node 16 to node 1 with capacity 13,\nan edge from node 17 to node 18 with capacity 4,\nan edge from node 17 to node 16 with capacity 9,\nan edge from node 17 to node 5 with capacity 8,\nan edge from node 17 to node 11 with capacity 8,\nan edge from node 17 to node 7 with capacity 12,\nan edge from node 17 to node 14 with capacity 11,\nan edge from node 18 to node 3 with capacity 12,\nan edge from node 18 to node 9 with capacity 19,\nan edge from node 18 to node 5 with capacity 17,\nan edge from node 18 to node 6 with capacity 16,\nan edge from node 18 to node 8 with capacity 9,\nan edge from node 18 to node 13 with capacity 9,\nan edge from node 18 to node 14 with capacity 3,\nan edge from node 19 to node 5 with capacity 8,\nan edge from node 19 to node 4 with capacity 13,\nan edge from node 19 to node 7 with capacity 6,\nan edge from node 19 to node 17 with capacity 6,\nan edge from node 19 to node 2 with capacity 18,\nWhat is the maximum flow from node 10 to node 15:"
            },
            {
                "from": "gpt",
                "value": "14."
            }
        ]
    },
    {
        "id": "flow-hard-graph1066",
        "image": "data/flow/graph_visual/hard/graph1066.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 18 with capacity 5,\nan edge from node 0 to node 8 with capacity 2,\nan edge from node 0 to node 1 with capacity 6,\nan edge from node 0 to node 15 with capacity 8,\nan edge from node 0 to node 6 with capacity 18,\nan edge from node 1 to node 18 with capacity 20,\nan edge from node 1 to node 8 with capacity 6,\nan edge from node 1 to node 4 with capacity 9,\nan edge from node 1 to node 14 with capacity 6,\nan edge from node 2 to node 8 with capacity 7,\nan edge from node 2 to node 5 with capacity 13,\nan edge from node 2 to node 7 with capacity 2,\nan edge from node 3 to node 8 with capacity 5,\nan edge from node 3 to node 14 with capacity 20,\nan edge from node 3 to node 12 with capacity 10,\nan edge from node 3 to node 17 with capacity 20,\nan edge from node 4 to node 5 with capacity 10,\nan edge from node 4 to node 9 with capacity 20,\nan edge from node 4 to node 0 with capacity 5,\nan edge from node 4 to node 12 with capacity 16,\nan edge from node 5 to node 1 with capacity 20,\nan edge from node 5 to node 7 with capacity 3,\nan edge from node 5 to node 4 with capacity 16,\nan edge from node 5 to node 0 with capacity 8,\nan edge from node 5 to node 12 with capacity 11,\nan edge from node 5 to node 17 with capacity 11,\nan edge from node 6 to node 8 with capacity 10,\nan edge from node 6 to node 3 with capacity 7,\nan edge from node 6 to node 15 with capacity 12,\nan edge from node 6 to node 14 with capacity 16,\nan edge from node 6 to node 2 with capacity 11,\nan edge from node 6 to node 12 with capacity 19,\nan edge from node 7 to node 15 with capacity 5,\nan edge from node 7 to node 11 with capacity 9,\nan edge from node 7 to node 17 with capacity 11,\nan edge from node 8 to node 18 with capacity 11,\nan edge from node 8 to node 11 with capacity 7,\nan edge from node 8 to node 12 with capacity 8,\nan edge from node 8 to node 6 with capacity 19,\nan edge from node 9 to node 11 with capacity 17,\nan edge from node 9 to node 13 with capacity 14,\nan edge from node 9 to node 17 with capacity 5,\nan edge from node 10 to node 5 with capacity 20,\nan edge from node 10 to node 7 with capacity 3,\nan edge from node 10 to node 9 with capacity 17,\nan edge from node 10 to node 11 with capacity 16,\nan edge from node 10 to node 0 with capacity 9,\nan edge from node 10 to node 13 with capacity 12,\nan edge from node 10 to node 14 with capacity 7,\nan edge from node 10 to node 16 with capacity 16,\nan edge from node 11 to node 1 with capacity 12,\nan edge from node 11 to node 4 with capacity 19,\nan edge from node 11 to node 0 with capacity 4,\nan edge from node 11 to node 16 with capacity 1,\nan edge from node 11 to node 12 with capacity 17,\nan edge from node 11 to node 10 with capacity 9,\nan edge from node 12 to node 8 with capacity 7,\nan edge from node 12 to node 7 with capacity 16,\nan edge from node 12 to node 11 with capacity 17,\nan edge from node 12 to node 2 with capacity 13,\nan edge from node 12 to node 6 with capacity 19,\nan edge from node 13 to node 5 with capacity 13,\nan edge from node 13 to node 0 with capacity 5,\nan edge from node 13 to node 12 with capacity 10,\nan edge from node 13 to node 17 with capacity 5,\nan edge from node 13 to node 10 with capacity 14,\nan edge from node 14 to node 18 with capacity 3,\nan edge from node 14 to node 8 with capacity 15,\nan edge from node 14 to node 5 with capacity 11,\nan edge from node 14 to node 0 with capacity 14,\nan edge from node 14 to node 13 with capacity 10,\nan edge from node 14 to node 6 with capacity 15,\nan edge from node 15 to node 18 with capacity 6,\nan edge from node 15 to node 3 with capacity 12,\nan edge from node 15 to node 13 with capacity 2,\nan edge from node 15 to node 12 with capacity 2,\nan edge from node 15 to node 17 with capacity 10,\nan edge from node 16 to node 7 with capacity 6,\nan edge from node 16 to node 3 with capacity 2,\nan edge from node 16 to node 13 with capacity 11,\nan edge from node 16 to node 12 with capacity 1,\nan edge from node 16 to node 17 with capacity 15,\nan edge from node 17 to node 4 with capacity 5,\nan edge from node 17 to node 11 with capacity 5,\nan edge from node 17 to node 13 with capacity 18,\nan edge from node 17 to node 14 with capacity 15,\nan edge from node 18 to node 7 with capacity 3,\nan edge from node 18 to node 9 with capacity 10,\nan edge from node 18 to node 11 with capacity 15,\nWhat is the maximum flow from node 5 to node 12:"
            },
            {
                "from": "gpt",
                "value": "69."
            }
        ]
    },
    {
        "id": "flow-hard-graph74",
        "image": "data/flow/graph_visual/hard/graph74.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 3 with capacity 3,\nan edge from node 0 to node 1 with capacity 4,\nan edge from node 0 to node 8 with capacity 3,\nan edge from node 1 to node 6 with capacity 18,\nan edge from node 1 to node 0 with capacity 17,\nan edge from node 1 to node 10 with capacity 15,\nan edge from node 1 to node 9 with capacity 11,\nan edge from node 2 to node 3 with capacity 3,\nan edge from node 2 to node 6 with capacity 12,\nan edge from node 2 to node 5 with capacity 15,\nan edge from node 3 to node 4 with capacity 14,\nan edge from node 3 to node 0 with capacity 5,\nan edge from node 3 to node 2 with capacity 2,\nan edge from node 3 to node 10 with capacity 9,\nan edge from node 3 to node 1 with capacity 20,\nan edge from node 3 to node 8 with capacity 12,\nan edge from node 4 to node 3 with capacity 3,\nan edge from node 4 to node 6 with capacity 1,\nan edge from node 4 to node 7 with capacity 10,\nan edge from node 4 to node 1 with capacity 10,\nan edge from node 5 to node 4 with capacity 10,\nan edge from node 5 to node 3 with capacity 18,\nan edge from node 5 to node 2 with capacity 1,\nan edge from node 5 to node 7 with capacity 11,\nan edge from node 5 to node 10 with capacity 11,\nan edge from node 5 to node 1 with capacity 17,\nan edge from node 6 to node 3 with capacity 16,\nan edge from node 6 to node 2 with capacity 12,\nan edge from node 6 to node 10 with capacity 9,\nan edge from node 6 to node 1 with capacity 20,\nan edge from node 6 to node 8 with capacity 11,\nan edge from node 6 to node 9 with capacity 19,\nan edge from node 7 to node 9 with capacity 9,\nan edge from node 8 to node 3 with capacity 15,\nan edge from node 8 to node 7 with capacity 16,\nan edge from node 9 to node 4 with capacity 7,\nan edge from node 9 to node 10 with capacity 1,\nan edge from node 10 to node 3 with capacity 5,\nan edge from node 10 to node 2 with capacity 2,\nan edge from node 10 to node 5 with capacity 3,\nan edge from node 10 to node 9 with capacity 7,\nWhat is the maximum flow from node 0 to node 9:"
            },
            {
                "from": "gpt",
                "value": "10."
            }
        ]
    },
    {
        "id": "flow-hard-graph1177",
        "image": "data/flow/graph_visual/hard/graph1177.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 9 with capacity 6,\nan edge from node 0 to node 12 with capacity 2,\nan edge from node 0 to node 3 with capacity 10,\nan edge from node 0 to node 10 with capacity 18,\nan edge from node 0 to node 16 with capacity 15,\nan edge from node 0 to node 19 with capacity 9,\nan edge from node 1 to node 7 with capacity 13,\nan edge from node 1 to node 13 with capacity 8,\nan edge from node 1 to node 8 with capacity 4,\nan edge from node 1 to node 0 with capacity 14,\nan edge from node 1 to node 19 with capacity 15,\nan edge from node 2 to node 11 with capacity 19,\nan edge from node 2 to node 7 with capacity 18,\nan edge from node 2 to node 12 with capacity 18,\nan edge from node 2 to node 8 with capacity 15,\nan edge from node 2 to node 10 with capacity 15,\nan edge from node 3 to node 18 with capacity 19,\nan edge from node 3 to node 1 with capacity 17,\nan edge from node 3 to node 4 with capacity 20,\nan edge from node 3 to node 5 with capacity 10,\nan edge from node 3 to node 15 with capacity 3,\nan edge from node 4 to node 0 with capacity 2,\nan edge from node 4 to node 6 with capacity 20,\nan edge from node 4 to node 3 with capacity 14,\nan edge from node 4 to node 15 with capacity 19,\nan edge from node 4 to node 19 with capacity 12,\nan edge from node 5 to node 7 with capacity 2,\nan edge from node 5 to node 18 with capacity 11,\nan edge from node 5 to node 1 with capacity 4,\nan edge from node 5 to node 4 with capacity 5,\nan edge from node 5 to node 16 with capacity 14,\nan edge from node 5 to node 14 with capacity 4,\nan edge from node 6 to node 9 with capacity 15,\nan edge from node 6 to node 13 with capacity 15,\nan edge from node 6 to node 12 with capacity 13,\nan edge from node 6 to node 17 with capacity 16,\nan edge from node 6 to node 19 with capacity 9,\nan edge from node 7 to node 1 with capacity 1,\nan edge from node 7 to node 8 with capacity 6,\nan edge from node 7 to node 6 with capacity 14,\nan edge from node 7 to node 3 with capacity 19,\nan edge from node 7 to node 10 with capacity 17,\nan edge from node 7 to node 15 with capacity 18,\nan edge from node 8 to node 1 with capacity 11,\nan edge from node 8 to node 12 with capacity 4,\nan edge from node 8 to node 16 with capacity 17,\nan edge from node 9 to node 7 with capacity 6,\nan edge from node 9 to node 1 with capacity 14,\nan edge from node 9 to node 4 with capacity 8,\nan edge from node 9 to node 14 with capacity 17,\nan edge from node 10 to node 0 with capacity 19,\nan edge from node 10 to node 3 with capacity 9,\nan edge from node 10 to node 16 with capacity 6,\nan edge from node 10 to node 14 with capacity 17,\nan edge from node 11 to node 7 with capacity 17,\nan edge from node 11 to node 12 with capacity 18,\nan edge from node 11 to node 17 with capacity 5,\nan edge from node 11 to node 4 with capacity 17,\nan edge from node 11 to node 3 with capacity 12,\nan edge from node 11 to node 5 with capacity 10,\nan edge from node 12 to node 9 with capacity 3,\nan edge from node 12 to node 18 with capacity 7,\nan edge from node 12 to node 2 with capacity 19,\nan edge from node 12 to node 4 with capacity 3,\nan edge from node 12 to node 3 with capacity 19,\nan edge from node 12 to node 14 with capacity 19,\nan edge from node 13 to node 11 with capacity 13,\nan edge from node 13 to node 9 with capacity 18,\nan edge from node 13 to node 0 with capacity 2,\nan edge from node 13 to node 10 with capacity 6,\nan edge from node 14 to node 7 with capacity 4,\nan edge from node 14 to node 9 with capacity 8,\nan edge from node 14 to node 2 with capacity 9,\nan edge from node 14 to node 12 with capacity 11,\nan edge from node 14 to node 17 with capacity 14,\nan edge from node 14 to node 8 with capacity 10,\nan edge from node 14 to node 6 with capacity 2,\nan edge from node 14 to node 3 with capacity 16,\nan edge from node 14 to node 5 with capacity 15,\nan edge from node 14 to node 19 with capacity 13,\nan edge from node 15 to node 1 with capacity 6,\nan edge from node 15 to node 4 with capacity 19,\nan edge from node 15 to node 5 with capacity 20,\nan edge from node 15 to node 19 with capacity 19,\nan edge from node 15 to node 14 with capacity 9,\nan edge from node 16 to node 9 with capacity 1,\nan edge from node 16 to node 18 with capacity 17,\nan edge from node 16 to node 1 with capacity 4,\nan edge from node 16 to node 2 with capacity 18,\nan edge from node 16 to node 12 with capacity 11,\nan edge from node 16 to node 0 with capacity 16,\nan edge from node 16 to node 15 with capacity 11,\nan edge from node 17 to node 13 with capacity 16,\nan edge from node 17 to node 2 with capacity 20,\nan edge from node 17 to node 4 with capacity 8,\nan edge from node 17 to node 3 with capacity 18,\nan edge from node 17 to node 10 with capacity 5,\nan edge from node 17 to node 14 with capacity 18,\nan edge from node 18 to node 7 with capacity 5,\nan edge from node 18 to node 13 with capacity 5,\nan edge from node 18 to node 8 with capacity 20,\nan edge from node 18 to node 16 with capacity 10,\nan edge from node 19 to node 7 with capacity 13,\nan edge from node 19 to node 17 with capacity 19,\nWhat is the maximum flow from node 11 to node 8:"
            },
            {
                "from": "gpt",
                "value": "55."
            }
        ]
    },
    {
        "id": "flow-hard-graph734",
        "image": "data/flow/graph_visual/hard/graph734.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 7 with capacity 5,\nan edge from node 0 to node 8 with capacity 16,\nan edge from node 1 to node 0 with capacity 3,\nan edge from node 2 to node 15 with capacity 9,\nan edge from node 2 to node 11 with capacity 15,\nan edge from node 2 to node 5 with capacity 16,\nan edge from node 3 to node 16 with capacity 14,\nan edge from node 3 to node 14 with capacity 18,\nan edge from node 3 to node 13 with capacity 17,\nan edge from node 3 to node 7 with capacity 18,\nan edge from node 3 to node 1 with capacity 15,\nan edge from node 4 to node 3 with capacity 20,\nan edge from node 4 to node 2 with capacity 18,\nan edge from node 4 to node 12 with capacity 16,\nan edge from node 4 to node 8 with capacity 10,\nan edge from node 5 to node 3 with capacity 3,\nan edge from node 5 to node 15 with capacity 20,\nan edge from node 5 to node 2 with capacity 9,\nan edge from node 5 to node 6 with capacity 1,\nan edge from node 6 to node 10 with capacity 20,\nan edge from node 6 to node 4 with capacity 18,\nan edge from node 7 to node 9 with capacity 7,\nan edge from node 7 to node 14 with capacity 6,\nan edge from node 7 to node 1 with capacity 11,\nan edge from node 8 to node 11 with capacity 7,\nan edge from node 8 to node 14 with capacity 11,\nan edge from node 9 to node 3 with capacity 16,\nan edge from node 9 to node 16 with capacity 8,\nan edge from node 9 to node 13 with capacity 12,\nan edge from node 9 to node 4 with capacity 20,\nan edge from node 10 to node 2 with capacity 8,\nan edge from node 10 to node 11 with capacity 11,\nan edge from node 10 to node 4 with capacity 6,\nan edge from node 10 to node 0 with capacity 6,\nan edge from node 10 to node 8 with capacity 13,\nan edge from node 11 to node 16 with capacity 15,\nan edge from node 11 to node 14 with capacity 6,\nan edge from node 12 to node 16 with capacity 16,\nan edge from node 13 to node 9 with capacity 10,\nan edge from node 13 to node 2 with capacity 17,\nan edge from node 13 to node 11 with capacity 16,\nan edge from node 13 to node 7 with capacity 9,\nan edge from node 14 to node 9 with capacity 14,\nan edge from node 14 to node 11 with capacity 5,\nan edge from node 14 to node 13 with capacity 8,\nan edge from node 14 to node 4 with capacity 3,\nan edge from node 15 to node 3 with capacity 5,\nan edge from node 15 to node 13 with capacity 10,\nan edge from node 15 to node 12 with capacity 18,\nan edge from node 16 to node 3 with capacity 19,\nan edge from node 16 to node 9 with capacity 16,\nan edge from node 16 to node 14 with capacity 13,\nan edge from node 16 to node 13 with capacity 9,\nWhat is the maximum flow from node 2 to node 5:"
            },
            {
                "from": "gpt",
                "value": "16."
            }
        ]
    },
    {
        "id": "flow-hard-graph1044",
        "image": "data/flow/graph_visual/hard/graph1044.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 6 with capacity 19,\nan edge from node 0 to node 7 with capacity 6,\nan edge from node 0 to node 10 with capacity 8,\nan edge from node 0 to node 12 with capacity 16,\nan edge from node 0 to node 5 with capacity 19,\nan edge from node 1 to node 2 with capacity 6,\nan edge from node 1 to node 6 with capacity 7,\nan edge from node 1 to node 7 with capacity 16,\nan edge from node 1 to node 18 with capacity 17,\nan edge from node 1 to node 12 with capacity 7,\nan edge from node 2 to node 4 with capacity 2,\nan edge from node 2 to node 18 with capacity 18,\nan edge from node 2 to node 10 with capacity 13,\nan edge from node 2 to node 3 with capacity 2,\nan edge from node 2 to node 8 with capacity 10,\nan edge from node 3 to node 2 with capacity 4,\nan edge from node 3 to node 15 with capacity 11,\nan edge from node 4 to node 17 with capacity 13,\nan edge from node 4 to node 6 with capacity 9,\nan edge from node 4 to node 10 with capacity 16,\nan edge from node 4 to node 3 with capacity 2,\nan edge from node 4 to node 16 with capacity 14,\nan edge from node 4 to node 8 with capacity 16,\nan edge from node 5 to node 7 with capacity 12,\nan edge from node 5 to node 14 with capacity 15,\nan edge from node 5 to node 11 with capacity 7,\nan edge from node 5 to node 18 with capacity 5,\nan edge from node 5 to node 13 with capacity 1,\nan edge from node 6 to node 2 with capacity 6,\nan edge from node 6 to node 11 with capacity 7,\nan edge from node 6 to node 5 with capacity 8,\nan edge from node 7 to node 14 with capacity 11,\nan edge from node 7 to node 11 with capacity 2,\nan edge from node 7 to node 0 with capacity 15,\nan edge from node 7 to node 8 with capacity 1,\nan edge from node 7 to node 13 with capacity 2,\nan edge from node 8 to node 4 with capacity 6,\nan edge from node 8 to node 11 with capacity 13,\nan edge from node 8 to node 18 with capacity 9,\nan edge from node 8 to node 1 with capacity 4,\nan edge from node 8 to node 13 with capacity 1,\nan edge from node 9 to node 4 with capacity 18,\nan edge from node 9 to node 7 with capacity 17,\nan edge from node 9 to node 11 with capacity 6,\nan edge from node 9 to node 3 with capacity 9,\nan edge from node 9 to node 5 with capacity 20,\nan edge from node 9 to node 15 with capacity 16,\nan edge from node 9 to node 13 with capacity 5,\nan edge from node 10 to node 6 with capacity 12,\nan edge from node 10 to node 11 with capacity 8,\nan edge from node 10 to node 3 with capacity 4,\nan edge from node 10 to node 16 with capacity 16,\nan edge from node 10 to node 0 with capacity 3,\nan edge from node 10 to node 9 with capacity 15,\nan edge from node 10 to node 8 with capacity 18,\nan edge from node 11 to node 4 with capacity 5,\nan edge from node 11 to node 7 with capacity 1,\nan edge from node 11 to node 3 with capacity 12,\nan edge from node 11 to node 16 with capacity 19,\nan edge from node 11 to node 9 with capacity 15,\nan edge from node 11 to node 8 with capacity 16,\nan edge from node 12 to node 5 with capacity 9,\nan edge from node 12 to node 0 with capacity 17,\nan edge from node 12 to node 15 with capacity 13,\nan edge from node 12 to node 8 with capacity 5,\nan edge from node 13 to node 2 with capacity 11,\nan edge from node 13 to node 6 with capacity 7,\nan edge from node 13 to node 12 with capacity 16,\nan edge from node 13 to node 15 with capacity 12,\nan edge from node 14 to node 10 with capacity 20,\nan edge from node 14 to node 12 with capacity 8,\nan edge from node 14 to node 9 with capacity 8,\nan edge from node 15 to node 4 with capacity 12,\nan edge from node 15 to node 2 with capacity 10,\nan edge from node 15 to node 1 with capacity 10,\nan edge from node 15 to node 12 with capacity 11,\nan edge from node 16 to node 17 with capacity 6,\nan edge from node 16 to node 6 with capacity 1,\nan edge from node 16 to node 7 with capacity 12,\nan edge from node 16 to node 11 with capacity 7,\nan edge from node 16 to node 1 with capacity 11,\nan edge from node 16 to node 15 with capacity 9,\nan edge from node 16 to node 8 with capacity 10,\nan edge from node 17 to node 6 with capacity 20,\nan edge from node 17 to node 14 with capacity 12,\nan edge from node 17 to node 3 with capacity 19,\nan edge from node 17 to node 0 with capacity 14,\nan edge from node 17 to node 15 with capacity 6,\nan edge from node 17 to node 13 with capacity 14,\nan edge from node 18 to node 2 with capacity 16,\nan edge from node 18 to node 11 with capacity 14,\nan edge from node 18 to node 0 with capacity 17,\nan edge from node 18 to node 15 with capacity 11,\nWhat is the maximum flow from node 8 to node 10:"
            },
            {
                "from": "gpt",
                "value": "33."
            }
        ]
    },
    {
        "id": "flow-hard-graph716",
        "image": "data/flow/graph_visual/hard/graph716.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 14 with capacity 1,\nan edge from node 0 to node 4 with capacity 10,\nan edge from node 0 to node 2 with capacity 10,\nan edge from node 0 to node 1 with capacity 19,\nan edge from node 1 to node 0 with capacity 10,\nan edge from node 2 to node 11 with capacity 7,\nan edge from node 2 to node 13 with capacity 4,\nan edge from node 2 to node 8 with capacity 20,\nan edge from node 2 to node 10 with capacity 17,\nan edge from node 3 to node 5 with capacity 10,\nan edge from node 3 to node 13 with capacity 1,\nan edge from node 3 to node 1 with capacity 16,\nan edge from node 3 to node 0 with capacity 17,\nan edge from node 4 to node 5 with capacity 6,\nan edge from node 4 to node 13 with capacity 7,\nan edge from node 5 to node 12 with capacity 13,\nan edge from node 5 to node 14 with capacity 8,\nan edge from node 5 to node 6 with capacity 7,\nan edge from node 5 to node 2 with capacity 13,\nan edge from node 6 to node 12 with capacity 14,\nan edge from node 6 to node 8 with capacity 5,\nan edge from node 6 to node 3 with capacity 10,\nan edge from node 6 to node 7 with capacity 16,\nan edge from node 6 to node 15 with capacity 12,\nan edge from node 6 to node 0 with capacity 6,\nan edge from node 7 to node 6 with capacity 14,\nan edge from node 7 to node 4 with capacity 12,\nan edge from node 7 to node 2 with capacity 6,\nan edge from node 7 to node 1 with capacity 20,\nan edge from node 7 to node 0 with capacity 19,\nan edge from node 8 to node 9 with capacity 18,\nan edge from node 8 to node 6 with capacity 17,\nan edge from node 8 to node 4 with capacity 17,\nan edge from node 8 to node 7 with capacity 8,\nan edge from node 8 to node 0 with capacity 7,\nan edge from node 9 to node 11 with capacity 14,\nan edge from node 9 to node 12 with capacity 5,\nan edge from node 9 to node 4 with capacity 17,\nan edge from node 9 to node 15 with capacity 17,\nan edge from node 10 to node 12 with capacity 8,\nan edge from node 10 to node 14 with capacity 15,\nan edge from node 10 to node 8 with capacity 1,\nan edge from node 10 to node 6 with capacity 16,\nan edge from node 10 to node 2 with capacity 8,\nan edge from node 11 to node 13 with capacity 12,\nan edge from node 11 to node 14 with capacity 7,\nan edge from node 11 to node 8 with capacity 2,\nan edge from node 11 to node 6 with capacity 6,\nan edge from node 11 to node 4 with capacity 4,\nan edge from node 11 to node 7 with capacity 17,\nan edge from node 12 to node 2 with capacity 20,\nan edge from node 13 to node 5 with capacity 19,\nan edge from node 13 to node 14 with capacity 18,\nan edge from node 13 to node 8 with capacity 8,\nan edge from node 13 to node 9 with capacity 15,\nan edge from node 13 to node 1 with capacity 9,\nan edge from node 13 to node 7 with capacity 1,\nan edge from node 14 to node 6 with capacity 19,\nan edge from node 14 to node 4 with capacity 18,\nan edge from node 14 to node 2 with capacity 6,\nan edge from node 14 to node 10 with capacity 9,\nan edge from node 15 to node 3 with capacity 1,\nan edge from node 15 to node 6 with capacity 10,\nan edge from node 15 to node 4 with capacity 6,\nan edge from node 15 to node 10 with capacity 19,\nWhat is the maximum flow from node 4 to node 6:"
            },
            {
                "from": "gpt",
                "value": "13."
            }
        ]
    },
    {
        "id": "flow-hard-graph825",
        "image": "data/flow/graph_visual/hard/graph825.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 6 with capacity 17,\nan edge from node 0 to node 4 with capacity 16,\nan edge from node 0 to node 2 with capacity 13,\nan edge from node 1 to node 10 with capacity 11,\nan edge from node 1 to node 6 with capacity 3,\nan edge from node 1 to node 8 with capacity 2,\nan edge from node 1 to node 4 with capacity 7,\nan edge from node 1 to node 9 with capacity 4,\nan edge from node 2 to node 8 with capacity 5,\nan edge from node 2 to node 16 with capacity 9,\nan edge from node 2 to node 14 with capacity 15,\nan edge from node 3 to node 12 with capacity 9,\nan edge from node 3 to node 0 with capacity 10,\nan edge from node 3 to node 5 with capacity 18,\nan edge from node 3 to node 4 with capacity 14,\nan edge from node 4 to node 0 with capacity 13,\nan edge from node 4 to node 1 with capacity 19,\nan edge from node 4 to node 14 with capacity 12,\nan edge from node 5 to node 14 with capacity 17,\nan edge from node 6 to node 8 with capacity 9,\nan edge from node 6 to node 15 with capacity 5,\nan edge from node 7 to node 0 with capacity 2,\nan edge from node 7 to node 15 with capacity 14,\nan edge from node 7 to node 9 with capacity 3,\nan edge from node 7 to node 16 with capacity 15,\nan edge from node 7 to node 2 with capacity 12,\nan edge from node 8 to node 12 with capacity 19,\nan edge from node 8 to node 0 with capacity 15,\nan edge from node 8 to node 11 with capacity 7,\nan edge from node 9 to node 0 with capacity 3,\nan edge from node 9 to node 16 with capacity 19,\nan edge from node 10 to node 12 with capacity 11,\nan edge from node 10 to node 0 with capacity 12,\nan edge from node 10 to node 7 with capacity 17,\nan edge from node 10 to node 9 with capacity 12,\nan edge from node 10 to node 16 with capacity 17,\nan edge from node 10 to node 13 with capacity 5,\nan edge from node 10 to node 3 with capacity 14,\nan edge from node 10 to node 2 with capacity 2,\nan edge from node 11 to node 8 with capacity 18,\nan edge from node 11 to node 9 with capacity 12,\nan edge from node 11 to node 13 with capacity 13,\nan edge from node 11 to node 14 with capacity 7,\nan edge from node 12 to node 6 with capacity 18,\nan edge from node 12 to node 11 with capacity 6,\nan edge from node 12 to node 13 with capacity 14,\nan edge from node 12 to node 14 with capacity 8,\nan edge from node 13 to node 12 with capacity 12,\nan edge from node 13 to node 9 with capacity 17,\nan edge from node 13 to node 3 with capacity 11,\nan edge from node 13 to node 14 with capacity 2,\nan edge from node 14 to node 8 with capacity 1,\nan edge from node 14 to node 1 with capacity 18,\nan edge from node 14 to node 4 with capacity 12,\nan edge from node 14 to node 7 with capacity 2,\nan edge from node 14 to node 9 with capacity 9,\nan edge from node 14 to node 3 with capacity 19,\nan edge from node 15 to node 10 with capacity 13,\nan edge from node 15 to node 12 with capacity 6,\nan edge from node 15 to node 11 with capacity 8,\nan edge from node 15 to node 1 with capacity 19,\nan edge from node 15 to node 3 with capacity 8,\nan edge from node 15 to node 2 with capacity 16,\nan edge from node 16 to node 10 with capacity 3,\nan edge from node 16 to node 15 with capacity 18,\nan edge from node 16 to node 13 with capacity 16,\nan edge from node 16 to node 2 with capacity 18,\nWhat is the maximum flow from node 9 to node 2:"
            },
            {
                "from": "gpt",
                "value": "22."
            }
        ]
    },
    {
        "id": "flow-hard-graph1038",
        "image": "data/flow/graph_visual/hard/graph1038.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 17 with capacity 15,\nan edge from node 0 to node 6 with capacity 5,\nan edge from node 0 to node 7 with capacity 12,\nan edge from node 0 to node 14 with capacity 11,\nan edge from node 0 to node 1 with capacity 9,\nan edge from node 0 to node 9 with capacity 1,\nan edge from node 1 to node 0 with capacity 11,\nan edge from node 1 to node 18 with capacity 4,\nan edge from node 1 to node 14 with capacity 2,\nan edge from node 1 to node 8 with capacity 3,\nan edge from node 1 to node 9 with capacity 17,\nan edge from node 2 to node 17 with capacity 4,\nan edge from node 2 to node 6 with capacity 7,\nan edge from node 2 to node 8 with capacity 11,\nan edge from node 2 to node 9 with capacity 20,\nan edge from node 3 to node 17 with capacity 9,\nan edge from node 3 to node 6 with capacity 4,\nan edge from node 3 to node 1 with capacity 18,\nan edge from node 3 to node 12 with capacity 9,\nan edge from node 3 to node 8 with capacity 8,\nan edge from node 4 to node 3 with capacity 4,\nan edge from node 4 to node 1 with capacity 19,\nan edge from node 4 to node 2 with capacity 17,\nan edge from node 4 to node 5 with capacity 16,\nan edge from node 5 to node 17 with capacity 13,\nan edge from node 5 to node 16 with capacity 13,\nan edge from node 5 to node 11 with capacity 20,\nan edge from node 6 to node 0 with capacity 5,\nan edge from node 6 to node 9 with capacity 14,\nan edge from node 7 to node 6 with capacity 7,\nan edge from node 7 to node 14 with capacity 14,\nan edge from node 7 to node 11 with capacity 18,\nan edge from node 7 to node 13 with capacity 14,\nan edge from node 7 to node 4 with capacity 20,\nan edge from node 7 to node 12 with capacity 5,\nan edge from node 8 to node 17 with capacity 2,\nan edge from node 8 to node 11 with capacity 18,\nan edge from node 9 to node 0 with capacity 4,\nan edge from node 9 to node 16 with capacity 4,\nan edge from node 9 to node 13 with capacity 20,\nan edge from node 9 to node 15 with capacity 19,\nan edge from node 10 to node 18 with capacity 9,\nan edge from node 10 to node 7 with capacity 14,\nan edge from node 10 to node 14 with capacity 9,\nan edge from node 10 to node 13 with capacity 1,\nan edge from node 11 to node 3 with capacity 1,\nan edge from node 11 to node 18 with capacity 18,\nan edge from node 11 to node 10 with capacity 18,\nan edge from node 11 to node 15 with capacity 2,\nan edge from node 11 to node 9 with capacity 3,\nan edge from node 12 to node 3 with capacity 12,\nan edge from node 12 to node 11 with capacity 2,\nan edge from node 12 to node 2 with capacity 16,\nan edge from node 13 to node 0 with capacity 19,\nan edge from node 13 to node 17 with capacity 2,\nan edge from node 13 to node 15 with capacity 9,\nan edge from node 14 to node 16 with capacity 6,\nan edge from node 14 to node 11 with capacity 17,\nan edge from node 14 to node 4 with capacity 1,\nan edge from node 14 to node 2 with capacity 15,\nan edge from node 15 to node 0 with capacity 11,\nan edge from node 15 to node 14 with capacity 6,\nan edge from node 15 to node 11 with capacity 1,\nan edge from node 16 to node 0 with capacity 19,\nan edge from node 16 to node 17 with capacity 20,\nan edge from node 16 to node 6 with capacity 13,\nan edge from node 16 to node 14 with capacity 8,\nan edge from node 16 to node 11 with capacity 14,\nan edge from node 16 to node 2 with capacity 11,\nan edge from node 16 to node 8 with capacity 10,\nan edge from node 16 to node 15 with capacity 10,\nan edge from node 16 to node 9 with capacity 4,\nan edge from node 17 to node 16 with capacity 20,\nan edge from node 17 to node 14 with capacity 14,\nan edge from node 17 to node 10 with capacity 15,\nan edge from node 17 to node 4 with capacity 11,\nan edge from node 17 to node 1 with capacity 18,\nan edge from node 17 to node 2 with capacity 17,\nan edge from node 17 to node 9 with capacity 16,\nan edge from node 18 to node 10 with capacity 14,\nan edge from node 18 to node 2 with capacity 2,\nWhat is the maximum flow from node 18 to node 0:"
            },
            {
                "from": "gpt",
                "value": "16."
            }
        ]
    },
    {
        "id": "flow-hard-graph1111",
        "image": "data/flow/graph_visual/hard/graph1111.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 16 with capacity 12,\nan edge from node 0 to node 11 with capacity 6,\nan edge from node 0 to node 4 with capacity 7,\nan edge from node 0 to node 10 with capacity 8,\nan edge from node 0 to node 18 with capacity 20,\nan edge from node 0 to node 5 with capacity 4,\nan edge from node 0 to node 9 with capacity 16,\nan edge from node 1 to node 13 with capacity 2,\nan edge from node 1 to node 15 with capacity 20,\nan edge from node 1 to node 8 with capacity 20,\nan edge from node 1 to node 6 with capacity 18,\nan edge from node 1 to node 14 with capacity 17,\nan edge from node 1 to node 0 with capacity 13,\nan edge from node 1 to node 5 with capacity 18,\nan edge from node 2 to node 3 with capacity 19,\nan edge from node 2 to node 15 with capacity 3,\nan edge from node 2 to node 6 with capacity 13,\nan edge from node 2 to node 11 with capacity 19,\nan edge from node 2 to node 14 with capacity 9,\nan edge from node 2 to node 7 with capacity 17,\nan edge from node 2 to node 18 with capacity 4,\nan edge from node 3 to node 16 with capacity 3,\nan edge from node 3 to node 19 with capacity 3,\nan edge from node 3 to node 9 with capacity 13,\nan edge from node 4 to node 13 with capacity 9,\nan edge from node 4 to node 3 with capacity 15,\nan edge from node 4 to node 17 with capacity 2,\nan edge from node 4 to node 10 with capacity 11,\nan edge from node 4 to node 2 with capacity 10,\nan edge from node 5 to node 13 with capacity 6,\nan edge from node 5 to node 16 with capacity 9,\nan edge from node 5 to node 19 with capacity 9,\nan edge from node 5 to node 14 with capacity 2,\nan edge from node 5 to node 0 with capacity 14,\nan edge from node 6 to node 1 with capacity 9,\nan edge from node 6 to node 11 with capacity 19,\nan edge from node 6 to node 5 with capacity 10,\nan edge from node 7 to node 13 with capacity 7,\nan edge from node 7 to node 16 with capacity 1,\nan edge from node 7 to node 12 with capacity 20,\nan edge from node 7 to node 14 with capacity 5,\nan edge from node 8 to node 3 with capacity 4,\nan edge from node 8 to node 6 with capacity 17,\nan edge from node 8 to node 4 with capacity 3,\nan edge from node 8 to node 7 with capacity 18,\nan edge from node 8 to node 0 with capacity 16,\nan edge from node 8 to node 18 with capacity 20,\nan edge from node 8 to node 5 with capacity 4,\nan edge from node 8 to node 9 with capacity 12,\nan edge from node 9 to node 1 with capacity 15,\nan edge from node 9 to node 8 with capacity 7,\nan edge from node 9 to node 6 with capacity 12,\nan edge from node 9 to node 11 with capacity 13,\nan edge from node 9 to node 10 with capacity 13,\nan edge from node 9 to node 18 with capacity 16,\nan edge from node 10 to node 3 with capacity 1,\nan edge from node 10 to node 1 with capacity 13,\nan edge from node 10 to node 4 with capacity 4,\nan edge from node 10 to node 7 with capacity 13,\nan edge from node 10 to node 18 with capacity 4,\nan edge from node 10 to node 9 with capacity 17,\nan edge from node 11 to node 15 with capacity 20,\nan edge from node 12 to node 16 with capacity 5,\nan edge from node 12 to node 17 with capacity 17,\nan edge from node 12 to node 7 with capacity 10,\nan edge from node 12 to node 0 with capacity 8,\nan edge from node 12 to node 5 with capacity 1,\nan edge from node 13 to node 6 with capacity 19,\nan edge from node 13 to node 2 with capacity 10,\nan edge from node 14 to node 13 with capacity 16,\nan edge from node 14 to node 3 with capacity 8,\nan edge from node 14 to node 1 with capacity 12,\nan edge from node 14 to node 19 with capacity 12,\nan edge from node 14 to node 8 with capacity 6,\nan edge from node 14 to node 17 with capacity 9,\nan edge from node 14 to node 11 with capacity 20,\nan edge from node 14 to node 4 with capacity 9,\nan edge from node 14 to node 10 with capacity 8,\nan edge from node 14 to node 18 with capacity 7,\nan edge from node 15 to node 13 with capacity 12,\nan edge from node 15 to node 16 with capacity 1,\nan edge from node 15 to node 8 with capacity 1,\nan edge from node 15 to node 11 with capacity 19,\nan edge from node 15 to node 14 with capacity 9,\nan edge from node 15 to node 7 with capacity 13,\nan edge from node 16 to node 13 with capacity 2,\nan edge from node 16 to node 15 with capacity 15,\nan edge from node 16 to node 19 with capacity 3,\nan edge from node 16 to node 8 with capacity 8,\nan edge from node 16 to node 17 with capacity 8,\nan edge from node 16 to node 18 with capacity 19,\nan edge from node 16 to node 5 with capacity 4,\nan edge from node 17 to node 19 with capacity 10,\nan edge from node 17 to node 6 with capacity 16,\nan edge from node 17 to node 4 with capacity 18,\nan edge from node 17 to node 14 with capacity 5,\nan edge from node 18 to node 3 with capacity 19,\nan edge from node 18 to node 17 with capacity 2,\nan edge from node 18 to node 2 with capacity 9,\nan edge from node 18 to node 5 with capacity 13,\nan edge from node 18 to node 9 with capacity 18,\nan edge from node 19 to node 16 with capacity 10,\nan edge from node 19 to node 12 with capacity 6,\nan edge from node 19 to node 6 with capacity 11,\nan edge from node 19 to node 5 with capacity 18,\nWhat is the maximum flow from node 3 to node 5:"
            },
            {
                "from": "gpt",
                "value": "19."
            }
        ]
    },
    {
        "id": "flow-hard-graph371",
        "image": "data/flow/graph_visual/hard/graph371.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 7 with capacity 18,\nan edge from node 0 to node 8 with capacity 20,\nan edge from node 1 to node 11 with capacity 2,\nan edge from node 1 to node 7 with capacity 11,\nan edge from node 1 to node 6 with capacity 5,\nan edge from node 1 to node 10 with capacity 2,\nan edge from node 1 to node 9 with capacity 3,\nan edge from node 1 to node 13 with capacity 8,\nan edge from node 2 to node 11 with capacity 14,\nan edge from node 2 to node 12 with capacity 12,\nan edge from node 2 to node 8 with capacity 17,\nan edge from node 2 to node 5 with capacity 20,\nan edge from node 3 to node 11 with capacity 8,\nan edge from node 3 to node 1 with capacity 2,\nan edge from node 3 to node 12 with capacity 3,\nan edge from node 3 to node 2 with capacity 11,\nan edge from node 3 to node 0 with capacity 6,\nan edge from node 3 to node 5 with capacity 10,\nan edge from node 3 to node 13 with capacity 8,\nan edge from node 4 to node 1 with capacity 18,\nan edge from node 4 to node 10 with capacity 4,\nan edge from node 4 to node 2 with capacity 19,\nan edge from node 4 to node 13 with capacity 5,\nan edge from node 5 to node 2 with capacity 1,\nan edge from node 5 to node 13 with capacity 19,\nan edge from node 6 to node 10 with capacity 4,\nan edge from node 6 to node 0 with capacity 13,\nan edge from node 6 to node 13 with capacity 20,\nan edge from node 7 to node 1 with capacity 15,\nan edge from node 8 to node 4 with capacity 15,\nan edge from node 8 to node 2 with capacity 18,\nan edge from node 9 to node 4 with capacity 6,\nan edge from node 9 to node 13 with capacity 16,\nan edge from node 10 to node 3 with capacity 17,\nan edge from node 10 to node 5 with capacity 7,\nan edge from node 11 to node 4 with capacity 20,\nan edge from node 12 to node 11 with capacity 2,\nan edge from node 12 to node 7 with capacity 12,\nan edge from node 12 to node 6 with capacity 11,\nan edge from node 12 to node 0 with capacity 7,\nan edge from node 12 to node 9 with capacity 4,\nan edge from node 12 to node 5 with capacity 8,\nan edge from node 13 to node 4 with capacity 4,\nan edge from node 13 to node 7 with capacity 15,\nan edge from node 13 to node 12 with capacity 11,\nan edge from node 13 to node 9 with capacity 8,\nWhat is the maximum flow from node 4 to node 13:"
            },
            {
                "from": "gpt",
                "value": "46."
            }
        ]
    },
    {
        "id": "flow-hard-graph223",
        "image": "data/flow/graph_visual/hard/graph223.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 1 with capacity 4,\nan edge from node 0 to node 4 with capacity 8,\nan edge from node 0 to node 8 with capacity 5,\nan edge from node 1 to node 6 with capacity 19,\nan edge from node 1 to node 2 with capacity 6,\nan edge from node 1 to node 8 with capacity 8,\nan edge from node 2 to node 9 with capacity 17,\nan edge from node 2 to node 7 with capacity 15,\nan edge from node 3 to node 9 with capacity 7,\nan edge from node 3 to node 1 with capacity 4,\nan edge from node 3 to node 8 with capacity 14,\nan edge from node 3 to node 11 with capacity 3,\nan edge from node 4 to node 1 with capacity 20,\nan edge from node 5 to node 9 with capacity 13,\nan edge from node 5 to node 0 with capacity 11,\nan edge from node 5 to node 2 with capacity 10,\nan edge from node 5 to node 8 with capacity 7,\nan edge from node 6 to node 3 with capacity 8,\nan edge from node 6 to node 8 with capacity 10,\nan edge from node 7 to node 2 with capacity 11,\nan edge from node 7 to node 4 with capacity 1,\nan edge from node 8 to node 5 with capacity 20,\nan edge from node 8 to node 4 with capacity 15,\nan edge from node 9 to node 0 with capacity 8,\nan edge from node 9 to node 2 with capacity 14,\nan edge from node 9 to node 4 with capacity 11,\nan edge from node 10 to node 9 with capacity 20,\nan edge from node 10 to node 5 with capacity 1,\nan edge from node 11 to node 10 with capacity 13,\nan edge from node 11 to node 6 with capacity 14,\nWhat is the maximum flow from node 10 to node 3:"
            },
            {
                "from": "gpt",
                "value": "8."
            }
        ]
    },
    {
        "id": "flow-hard-graph511",
        "image": "data/flow/graph_visual/hard/graph511.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 3 with capacity 18,\nan edge from node 1 to node 2 with capacity 1,\nan edge from node 1 to node 9 with capacity 6,\nan edge from node 1 to node 14 with capacity 16,\nan edge from node 1 to node 6 with capacity 17,\nan edge from node 1 to node 8 with capacity 16,\nan edge from node 1 to node 4 with capacity 11,\nan edge from node 2 to node 13 with capacity 12,\nan edge from node 2 to node 4 with capacity 15,\nan edge from node 2 to node 11 with capacity 14,\nan edge from node 3 to node 13 with capacity 2,\nan edge from node 3 to node 12 with capacity 4,\nan edge from node 3 to node 6 with capacity 19,\nan edge from node 3 to node 8 with capacity 17,\nan edge from node 3 to node 4 with capacity 9,\nan edge from node 3 to node 7 with capacity 14,\nan edge from node 3 to node 11 with capacity 7,\nan edge from node 4 to node 1 with capacity 15,\nan edge from node 4 to node 10 with capacity 11,\nan edge from node 4 to node 6 with capacity 14,\nan edge from node 4 to node 8 with capacity 3,\nan edge from node 5 to node 2 with capacity 16,\nan edge from node 5 to node 10 with capacity 6,\nan edge from node 5 to node 13 with capacity 9,\nan edge from node 5 to node 0 with capacity 10,\nan edge from node 6 to node 9 with capacity 11,\nan edge from node 6 to node 10 with capacity 3,\nan edge from node 6 to node 12 with capacity 4,\nan edge from node 6 to node 4 with capacity 13,\nan edge from node 7 to node 3 with capacity 14,\nan edge from node 7 to node 14 with capacity 8,\nan edge from node 7 to node 10 with capacity 6,\nan edge from node 7 to node 8 with capacity 15,\nan edge from node 7 to node 11 with capacity 4,\nan edge from node 8 to node 5 with capacity 11,\nan edge from node 8 to node 9 with capacity 10,\nan edge from node 8 to node 14 with capacity 2,\nan edge from node 8 to node 4 with capacity 12,\nan edge from node 9 to node 5 with capacity 5,\nan edge from node 9 to node 14 with capacity 16,\nan edge from node 9 to node 7 with capacity 13,\nan edge from node 10 to node 5 with capacity 5,\nan edge from node 10 to node 12 with capacity 5,\nan edge from node 10 to node 4 with capacity 10,\nan edge from node 10 to node 7 with capacity 16,\nan edge from node 10 to node 11 with capacity 5,\nan edge from node 12 to node 14 with capacity 6,\nan edge from node 12 to node 13 with capacity 9,\nan edge from node 12 to node 8 with capacity 17,\nan edge from node 12 to node 0 with capacity 13,\nan edge from node 13 to node 3 with capacity 8,\nan edge from node 13 to node 12 with capacity 7,\nan edge from node 13 to node 8 with capacity 19,\nan edge from node 14 to node 2 with capacity 8,\nan edge from node 14 to node 11 with capacity 20,\nWhat is the maximum flow from node 4 to node 13:"
            },
            {
                "from": "gpt",
                "value": "32."
            }
        ]
    },
    {
        "id": "flow-hard-graph800",
        "image": "data/flow/graph_visual/hard/graph800.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 4 with capacity 7,\nan edge from node 1 to node 11 with capacity 10,\nan edge from node 1 to node 14 with capacity 8,\nan edge from node 2 to node 10 with capacity 11,\nan edge from node 2 to node 12 with capacity 9,\nan edge from node 2 to node 14 with capacity 8,\nan edge from node 2 to node 3 with capacity 1,\nan edge from node 2 to node 9 with capacity 16,\nan edge from node 3 to node 5 with capacity 10,\nan edge from node 3 to node 11 with capacity 19,\nan edge from node 3 to node 12 with capacity 15,\nan edge from node 3 to node 8 with capacity 2,\nan edge from node 4 to node 10 with capacity 13,\nan edge from node 4 to node 3 with capacity 18,\nan edge from node 4 to node 15 with capacity 5,\nan edge from node 5 to node 2 with capacity 18,\nan edge from node 5 to node 4 with capacity 11,\nan edge from node 5 to node 8 with capacity 12,\nan edge from node 6 to node 16 with capacity 16,\nan edge from node 6 to node 7 with capacity 13,\nan edge from node 6 to node 4 with capacity 12,\nan edge from node 6 to node 9 with capacity 18,\nan edge from node 7 to node 1 with capacity 12,\nan edge from node 8 to node 5 with capacity 17,\nan edge from node 8 to node 11 with capacity 3,\nan edge from node 8 to node 16 with capacity 14,\nan edge from node 8 to node 13 with capacity 7,\nan edge from node 8 to node 15 with capacity 8,\nan edge from node 9 to node 16 with capacity 15,\nan edge from node 9 to node 13 with capacity 8,\nan edge from node 9 to node 14 with capacity 12,\nan edge from node 9 to node 6 with capacity 16,\nan edge from node 9 to node 7 with capacity 6,\nan edge from node 9 to node 8 with capacity 19,\nan edge from node 10 to node 11 with capacity 7,\nan edge from node 11 to node 2 with capacity 16,\nan edge from node 11 to node 4 with capacity 7,\nan edge from node 11 to node 9 with capacity 3,\nan edge from node 12 to node 5 with capacity 2,\nan edge from node 12 to node 10 with capacity 17,\nan edge from node 12 to node 14 with capacity 15,\nan edge from node 12 to node 3 with capacity 9,\nan edge from node 12 to node 15 with capacity 8,\nan edge from node 13 to node 6 with capacity 2,\nan edge from node 13 to node 3 with capacity 20,\nan edge from node 13 to node 8 with capacity 2,\nan edge from node 14 to node 5 with capacity 11,\nan edge from node 14 to node 2 with capacity 15,\nan edge from node 15 to node 5 with capacity 5,\nan edge from node 15 to node 6 with capacity 17,\nan edge from node 15 to node 3 with capacity 3,\nan edge from node 16 to node 5 with capacity 3,\nan edge from node 16 to node 0 with capacity 15,\nan edge from node 16 to node 13 with capacity 16,\nWhat is the maximum flow from node 7 to node 5:"
            },
            {
                "from": "gpt",
                "value": "12."
            }
        ]
    },
    {
        "id": "flow-hard-graph553",
        "image": "data/flow/graph_visual/hard/graph553.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 3 with capacity 11,\nan edge from node 0 to node 4 with capacity 4,\nan edge from node 0 to node 13 with capacity 18,\nan edge from node 1 to node 6 with capacity 12,\nan edge from node 1 to node 14 with capacity 3,\nan edge from node 1 to node 7 with capacity 13,\nan edge from node 1 to node 12 with capacity 16,\nan edge from node 2 to node 9 with capacity 19,\nan edge from node 2 to node 10 with capacity 15,\nan edge from node 2 to node 0 with capacity 5,\nan edge from node 2 to node 12 with capacity 2,\nan edge from node 3 to node 0 with capacity 7,\nan edge from node 3 to node 4 with capacity 9,\nan edge from node 4 to node 8 with capacity 16,\nan edge from node 4 to node 6 with capacity 17,\nan edge from node 4 to node 10 with capacity 10,\nan edge from node 4 to node 14 with capacity 9,\nan edge from node 4 to node 7 with capacity 7,\nan edge from node 5 to node 11 with capacity 6,\nan edge from node 5 to node 3 with capacity 11,\nan edge from node 5 to node 1 with capacity 18,\nan edge from node 6 to node 5 with capacity 3,\nan edge from node 6 to node 14 with capacity 19,\nan edge from node 6 to node 7 with capacity 9,\nan edge from node 7 to node 9 with capacity 5,\nan edge from node 7 to node 6 with capacity 10,\nan edge from node 7 to node 10 with capacity 18,\nan edge from node 7 to node 5 with capacity 8,\nan edge from node 8 to node 1 with capacity 3,\nan edge from node 8 to node 2 with capacity 2,\nan edge from node 8 to node 5 with capacity 16,\nan edge from node 8 to node 14 with capacity 10,\nan edge from node 9 to node 10 with capacity 3,\nan edge from node 9 to node 14 with capacity 6,\nan edge from node 9 to node 7 with capacity 10,\nan edge from node 9 to node 12 with capacity 15,\nan edge from node 10 to node 6 with capacity 10,\nan edge from node 10 to node 4 with capacity 19,\nan edge from node 10 to node 7 with capacity 19,\nan edge from node 11 to node 10 with capacity 20,\nan edge from node 11 to node 1 with capacity 16,\nan edge from node 11 to node 14 with capacity 6,\nan edge from node 12 to node 3 with capacity 17,\nan edge from node 12 to node 4 with capacity 2,\nan edge from node 12 to node 14 with capacity 10,\nan edge from node 13 to node 3 with capacity 2,\nan edge from node 13 to node 5 with capacity 10,\nan edge from node 14 to node 0 with capacity 19,\nan edge from node 14 to node 5 with capacity 3,\nWhat is the maximum flow from node 7 to node 10:"
            },
            {
                "from": "gpt",
                "value": "39."
            }
        ]
    },
    {
        "id": "flow-hard-graph611",
        "image": "data/flow/graph_visual/hard/graph611.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 8 with capacity 10,\nan edge from node 0 to node 3 with capacity 9,\nan edge from node 0 to node 13 with capacity 18,\nan edge from node 0 to node 14 with capacity 15,\nan edge from node 1 to node 8 with capacity 4,\nan edge from node 1 to node 12 with capacity 3,\nan edge from node 1 to node 7 with capacity 4,\nan edge from node 2 to node 8 with capacity 20,\nan edge from node 2 to node 4 with capacity 1,\nan edge from node 3 to node 9 with capacity 9,\nan edge from node 3 to node 15 with capacity 9,\nan edge from node 3 to node 12 with capacity 15,\nan edge from node 3 to node 7 with capacity 7,\nan edge from node 3 to node 4 with capacity 13,\nan edge from node 4 to node 0 with capacity 11,\nan edge from node 4 to node 10 with capacity 15,\nan edge from node 5 to node 0 with capacity 20,\nan edge from node 5 to node 15 with capacity 7,\nan edge from node 5 to node 12 with capacity 11,\nan edge from node 5 to node 6 with capacity 12,\nan edge from node 5 to node 11 with capacity 18,\nan edge from node 6 to node 2 with capacity 5,\nan edge from node 6 to node 1 with capacity 15,\nan edge from node 6 to node 12 with capacity 9,\nan edge from node 6 to node 7 with capacity 11,\nan edge from node 7 to node 10 with capacity 2,\nan edge from node 7 to node 12 with capacity 15,\nan edge from node 7 to node 13 with capacity 19,\nan edge from node 7 to node 6 with capacity 17,\nan edge from node 7 to node 4 with capacity 16,\nan edge from node 8 to node 9 with capacity 4,\nan edge from node 9 to node 3 with capacity 2,\nan edge from node 9 to node 15 with capacity 15,\nan edge from node 9 to node 10 with capacity 4,\nan edge from node 9 to node 13 with capacity 19,\nan edge from node 9 to node 11 with capacity 19,\nan edge from node 9 to node 14 with capacity 17,\nan edge from node 10 to node 11 with capacity 5,\nan edge from node 11 to node 5 with capacity 8,\nan edge from node 11 to node 6 with capacity 16,\nan edge from node 11 to node 4 with capacity 18,\nan edge from node 12 to node 9 with capacity 13,\nan edge from node 12 to node 2 with capacity 3,\nan edge from node 12 to node 15 with capacity 8,\nan edge from node 12 to node 1 with capacity 14,\nan edge from node 12 to node 4 with capacity 9,\nan edge from node 12 to node 11 with capacity 5,\nan edge from node 12 to node 14 with capacity 18,\nan edge from node 13 to node 0 with capacity 9,\nan edge from node 13 to node 10 with capacity 16,\nan edge from node 13 to node 14 with capacity 17,\nan edge from node 14 to node 3 with capacity 5,\nan edge from node 14 to node 15 with capacity 5,\nan edge from node 14 to node 5 with capacity 18,\nan edge from node 14 to node 6 with capacity 18,\nan edge from node 15 to node 5 with capacity 13,\nWhat is the maximum flow from node 2 to node 1:"
            },
            {
                "from": "gpt",
                "value": "5."
            }
        ]
    },
    {
        "id": "flow-hard-graph658",
        "image": "data/flow/graph_visual/hard/graph658.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 2 with capacity 9,\nan edge from node 0 to node 4 with capacity 7,\nan edge from node 0 to node 3 with capacity 9,\nan edge from node 0 to node 12 with capacity 17,\nan edge from node 1 to node 2 with capacity 7,\nan edge from node 1 to node 14 with capacity 5,\nan edge from node 1 to node 4 with capacity 8,\nan edge from node 1 to node 7 with capacity 1,\nan edge from node 1 to node 12 with capacity 15,\nan edge from node 1 to node 10 with capacity 9,\nan edge from node 2 to node 6 with capacity 6,\nan edge from node 2 to node 7 with capacity 20,\nan edge from node 2 to node 1 with capacity 12,\nan edge from node 2 to node 15 with capacity 11,\nan edge from node 2 to node 0 with capacity 1,\nan edge from node 3 to node 2 with capacity 18,\nan edge from node 3 to node 8 with capacity 19,\nan edge from node 3 to node 0 with capacity 5,\nan edge from node 4 to node 2 with capacity 6,\nan edge from node 4 to node 3 with capacity 7,\nan edge from node 4 to node 8 with capacity 7,\nan edge from node 4 to node 9 with capacity 9,\nan edge from node 4 to node 15 with capacity 13,\nan edge from node 5 to node 3 with capacity 3,\nan edge from node 5 to node 1 with capacity 18,\nan edge from node 6 to node 2 with capacity 18,\nan edge from node 6 to node 14 with capacity 15,\nan edge from node 6 to node 3 with capacity 6,\nan edge from node 6 to node 8 with capacity 20,\nan edge from node 6 to node 11 with capacity 20,\nan edge from node 6 to node 7 with capacity 15,\nan edge from node 6 to node 1 with capacity 17,\nan edge from node 7 to node 9 with capacity 9,\nan edge from node 7 to node 12 with capacity 18,\nan edge from node 7 to node 0 with capacity 1,\nan edge from node 8 to node 9 with capacity 2,\nan edge from node 8 to node 10 with capacity 13,\nan edge from node 9 to node 6 with capacity 12,\nan edge from node 9 to node 7 with capacity 5,\nan edge from node 9 to node 13 with capacity 17,\nan edge from node 9 to node 15 with capacity 20,\nan edge from node 9 to node 10 with capacity 14,\nan edge from node 10 to node 2 with capacity 10,\nan edge from node 10 to node 11 with capacity 1,\nan edge from node 10 to node 1 with capacity 12,\nan edge from node 11 to node 6 with capacity 14,\nan edge from node 11 to node 14 with capacity 18,\nan edge from node 11 to node 4 with capacity 17,\nan edge from node 11 to node 3 with capacity 4,\nan edge from node 11 to node 8 with capacity 5,\nan edge from node 11 to node 12 with capacity 20,\nan edge from node 12 to node 5 with capacity 13,\nan edge from node 12 to node 4 with capacity 11,\nan edge from node 12 to node 8 with capacity 7,\nan edge from node 12 to node 9 with capacity 14,\nan edge from node 12 to node 7 with capacity 18,\nan edge from node 13 to node 4 with capacity 4,\nan edge from node 13 to node 9 with capacity 9,\nan edge from node 13 to node 15 with capacity 3,\nan edge from node 14 to node 5 with capacity 4,\nan edge from node 14 to node 4 with capacity 20,\nan edge from node 14 to node 3 with capacity 7,\nan edge from node 14 to node 7 with capacity 20,\nan edge from node 15 to node 3 with capacity 6,\nWhat is the maximum flow from node 12 to node 9:"
            },
            {
                "from": "gpt",
                "value": "34."
            }
        ]
    },
    {
        "id": "flow-hard-graph1",
        "image": "data/flow/graph_visual/hard/graph1.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 6 with capacity 7,\nan edge from node 0 to node 9 with capacity 1,\nan edge from node 1 to node 4 with capacity 6,\nan edge from node 1 to node 2 with capacity 10,\nan edge from node 2 to node 3 with capacity 18,\nan edge from node 2 to node 10 with capacity 7,\nan edge from node 3 to node 0 with capacity 18,\nan edge from node 3 to node 7 with capacity 19,\nan edge from node 4 to node 6 with capacity 8,\nan edge from node 4 to node 2 with capacity 19,\nan edge from node 4 to node 10 with capacity 8,\nan edge from node 5 to node 6 with capacity 18,\nan edge from node 5 to node 3 with capacity 16,\nan edge from node 6 to node 7 with capacity 8,\nan edge from node 6 to node 2 with capacity 14,\nan edge from node 6 to node 10 with capacity 5,\nan edge from node 7 to node 4 with capacity 16,\nan edge from node 7 to node 6 with capacity 13,\nan edge from node 7 to node 8 with capacity 11,\nan edge from node 7 to node 9 with capacity 14,\nan edge from node 7 to node 10 with capacity 8,\nan edge from node 8 to node 2 with capacity 17,\nan edge from node 9 to node 6 with capacity 9,\nan edge from node 9 to node 2 with capacity 16,\nan edge from node 9 to node 3 with capacity 14,\nan edge from node 9 to node 10 with capacity 18,\nan edge from node 10 to node 7 with capacity 4,\nan edge from node 10 to node 8 with capacity 18,\nan edge from node 10 to node 9 with capacity 17,\nan edge from node 10 to node 5 with capacity 6,\nan edge from node 10 to node 1 with capacity 13,\nWhat is the maximum flow from node 3 to node 9:"
            },
            {
                "from": "gpt",
                "value": "27."
            }
        ]
    },
    {
        "id": "flow-hard-graph603",
        "image": "data/flow/graph_visual/hard/graph603.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 8 with capacity 17,\nan edge from node 0 to node 3 with capacity 8,\nan edge from node 0 to node 12 with capacity 1,\nan edge from node 0 to node 2 with capacity 15,\nan edge from node 0 to node 15 with capacity 10,\nan edge from node 1 to node 10 with capacity 9,\nan edge from node 1 to node 4 with capacity 5,\nan edge from node 1 to node 12 with capacity 18,\nan edge from node 1 to node 0 with capacity 19,\nan edge from node 1 to node 11 with capacity 10,\nan edge from node 1 to node 2 with capacity 10,\nan edge from node 2 to node 11 with capacity 4,\nan edge from node 2 to node 14 with capacity 13,\nan edge from node 3 to node 5 with capacity 9,\nan edge from node 3 to node 10 with capacity 3,\nan edge from node 3 to node 12 with capacity 4,\nan edge from node 3 to node 13 with capacity 6,\nan edge from node 3 to node 7 with capacity 3,\nan edge from node 3 to node 11 with capacity 10,\nan edge from node 4 to node 5 with capacity 13,\nan edge from node 4 to node 10 with capacity 14,\nan edge from node 4 to node 11 with capacity 19,\nan edge from node 4 to node 2 with capacity 1,\nan edge from node 4 to node 14 with capacity 13,\nan edge from node 5 to node 2 with capacity 11,\nan edge from node 6 to node 10 with capacity 11,\nan edge from node 7 to node 10 with capacity 12,\nan edge from node 7 to node 3 with capacity 13,\nan edge from node 7 to node 1 with capacity 19,\nan edge from node 7 to node 11 with capacity 11,\nan edge from node 7 to node 14 with capacity 9,\nan edge from node 8 to node 12 with capacity 3,\nan edge from node 8 to node 13 with capacity 20,\nan edge from node 8 to node 2 with capacity 17,\nan edge from node 8 to node 9 with capacity 6,\nan edge from node 8 to node 14 with capacity 13,\nan edge from node 9 to node 12 with capacity 4,\nan edge from node 9 to node 7 with capacity 13,\nan edge from node 9 to node 2 with capacity 9,\nan edge from node 10 to node 6 with capacity 8,\nan edge from node 11 to node 5 with capacity 16,\nan edge from node 12 to node 3 with capacity 12,\nan edge from node 12 to node 4 with capacity 9,\nan edge from node 13 to node 4 with capacity 19,\nan edge from node 13 to node 7 with capacity 9,\nan edge from node 13 to node 1 with capacity 3,\nan edge from node 13 to node 14 with capacity 8,\nan edge from node 14 to node 10 with capacity 8,\nan edge from node 14 to node 13 with capacity 11,\nan edge from node 14 to node 2 with capacity 10,\nan edge from node 15 to node 10 with capacity 9,\nan edge from node 15 to node 12 with capacity 2,\nan edge from node 15 to node 13 with capacity 15,\nan edge from node 15 to node 7 with capacity 12,\nan edge from node 15 to node 11 with capacity 5,\nWhat is the maximum flow from node 7 to node 13:"
            },
            {
                "from": "gpt",
                "value": "36."
            }
        ]
    },
    {
        "id": "flow-hard-graph347",
        "image": "data/flow/graph_visual/hard/graph347.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 9 with capacity 11,\nan edge from node 2 to node 5 with capacity 15,\nan edge from node 3 to node 4 with capacity 15,\nan edge from node 3 to node 8 with capacity 3,\nan edge from node 3 to node 1 with capacity 6,\nan edge from node 4 to node 2 with capacity 14,\nan edge from node 4 to node 11 with capacity 14,\nan edge from node 4 to node 8 with capacity 9,\nan edge from node 5 to node 3 with capacity 19,\nan edge from node 5 to node 7 with capacity 8,\nan edge from node 5 to node 10 with capacity 19,\nan edge from node 6 to node 5 with capacity 11,\nan edge from node 6 to node 9 with capacity 20,\nan edge from node 6 to node 7 with capacity 17,\nan edge from node 6 to node 4 with capacity 9,\nan edge from node 6 to node 0 with capacity 9,\nan edge from node 7 to node 3 with capacity 17,\nan edge from node 7 to node 10 with capacity 17,\nan edge from node 8 to node 2 with capacity 12,\nan edge from node 8 to node 5 with capacity 20,\nan edge from node 8 to node 9 with capacity 5,\nan edge from node 8 to node 3 with capacity 11,\nan edge from node 9 to node 2 with capacity 17,\nan edge from node 9 to node 6 with capacity 3,\nan edge from node 9 to node 11 with capacity 9,\nan edge from node 10 to node 4 with capacity 16,\nan edge from node 10 to node 11 with capacity 3,\nan edge from node 11 to node 8 with capacity 8,\nan edge from node 11 to node 12 with capacity 14,\nan edge from node 12 to node 6 with capacity 19,\nan edge from node 12 to node 11 with capacity 1,\nWhat is the maximum flow from node 6 to node 1:"
            },
            {
                "from": "gpt",
                "value": "6."
            }
        ]
    },
    {
        "id": "flow-hard-graph822",
        "image": "data/flow/graph_visual/hard/graph822.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 5 with capacity 18,\nan edge from node 0 to node 11 with capacity 10,\nan edge from node 0 to node 2 with capacity 15,\nan edge from node 0 to node 16 with capacity 10,\nan edge from node 1 to node 5 with capacity 2,\nan edge from node 1 to node 6 with capacity 13,\nan edge from node 1 to node 15 with capacity 19,\nan edge from node 1 to node 2 with capacity 6,\nan edge from node 1 to node 7 with capacity 10,\nan edge from node 2 to node 14 with capacity 7,\nan edge from node 2 to node 5 with capacity 3,\nan edge from node 2 to node 4 with capacity 20,\nan edge from node 2 to node 13 with capacity 4,\nan edge from node 2 to node 3 with capacity 16,\nan edge from node 3 to node 0 with capacity 13,\nan edge from node 3 to node 4 with capacity 19,\nan edge from node 3 to node 12 with capacity 2,\nan edge from node 5 to node 15 with capacity 6,\nan edge from node 5 to node 3 with capacity 12,\nan edge from node 6 to node 0 with capacity 3,\nan edge from node 6 to node 14 with capacity 3,\nan edge from node 6 to node 10 with capacity 19,\nan edge from node 6 to node 12 with capacity 13,\nan edge from node 6 to node 7 with capacity 3,\nan edge from node 7 to node 0 with capacity 16,\nan edge from node 7 to node 6 with capacity 19,\nan edge from node 7 to node 9 with capacity 10,\nan edge from node 8 to node 14 with capacity 13,\nan edge from node 8 to node 1 with capacity 15,\nan edge from node 8 to node 15 with capacity 20,\nan edge from node 9 to node 5 with capacity 4,\nan edge from node 9 to node 11 with capacity 2,\nan edge from node 9 to node 10 with capacity 1,\nan edge from node 9 to node 8 with capacity 10,\nan edge from node 10 to node 0 with capacity 11,\nan edge from node 10 to node 1 with capacity 4,\nan edge from node 10 to node 13 with capacity 8,\nan edge from node 10 to node 8 with capacity 14,\nan edge from node 10 to node 7 with capacity 19,\nan edge from node 11 to node 4 with capacity 20,\nan edge from node 11 to node 6 with capacity 13,\nan edge from node 11 to node 13 with capacity 5,\nan edge from node 11 to node 9 with capacity 16,\nan edge from node 12 to node 4 with capacity 7,\nan edge from node 12 to node 15 with capacity 5,\nan edge from node 12 to node 16 with capacity 2,\nan edge from node 12 to node 10 with capacity 4,\nan edge from node 12 to node 8 with capacity 12,\nan edge from node 13 to node 14 with capacity 4,\nan edge from node 13 to node 3 with capacity 19,\nan edge from node 14 to node 5 with capacity 10,\nan edge from node 14 to node 4 with capacity 3,\nan edge from node 14 to node 2 with capacity 20,\nan edge from node 14 to node 10 with capacity 9,\nan edge from node 15 to node 0 with capacity 17,\nan edge from node 15 to node 1 with capacity 10,\nan edge from node 15 to node 4 with capacity 12,\nan edge from node 15 to node 6 with capacity 18,\nan edge from node 15 to node 13 with capacity 7,\nan edge from node 15 to node 9 with capacity 2,\nan edge from node 16 to node 5 with capacity 10,\nan edge from node 16 to node 15 with capacity 9,\nan edge from node 16 to node 8 with capacity 14,\nan edge from node 16 to node 7 with capacity 9,\nWhat is the maximum flow from node 5 to node 16:"
            },
            {
                "from": "gpt",
                "value": "12."
            }
        ]
    },
    {
        "id": "flow-hard-graph765",
        "image": "data/flow/graph_visual/hard/graph765.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 10 with capacity 20,\nan edge from node 0 to node 12 with capacity 13,\nan edge from node 0 to node 14 with capacity 10,\nan edge from node 0 to node 5 with capacity 5,\nan edge from node 0 to node 8 with capacity 14,\nan edge from node 0 to node 15 with capacity 4,\nan edge from node 1 to node 12 with capacity 2,\nan edge from node 1 to node 3 with capacity 6,\nan edge from node 1 to node 2 with capacity 3,\nan edge from node 1 to node 16 with capacity 15,\nan edge from node 1 to node 8 with capacity 19,\nan edge from node 2 to node 0 with capacity 18,\nan edge from node 2 to node 4 with capacity 8,\nan edge from node 2 to node 7 with capacity 6,\nan edge from node 2 to node 1 with capacity 13,\nan edge from node 2 to node 13 with capacity 18,\nan edge from node 3 to node 12 with capacity 1,\nan edge from node 3 to node 1 with capacity 7,\nan edge from node 3 to node 11 with capacity 11,\nan edge from node 4 to node 0 with capacity 10,\nan edge from node 4 to node 14 with capacity 10,\nan edge from node 4 to node 11 with capacity 11,\nan edge from node 5 to node 12 with capacity 12,\nan edge from node 5 to node 14 with capacity 16,\nan edge from node 5 to node 3 with capacity 11,\nan edge from node 5 to node 16 with capacity 19,\nan edge from node 6 to node 10 with capacity 20,\nan edge from node 6 to node 14 with capacity 18,\nan edge from node 6 to node 3 with capacity 12,\nan edge from node 6 to node 2 with capacity 19,\nan edge from node 6 to node 16 with capacity 15,\nan edge from node 6 to node 8 with capacity 2,\nan edge from node 6 to node 15 with capacity 12,\nan edge from node 7 to node 1 with capacity 1,\nan edge from node 7 to node 11 with capacity 16,\nan edge from node 7 to node 9 with capacity 16,\nan edge from node 8 to node 12 with capacity 8,\nan edge from node 8 to node 1 with capacity 4,\nan edge from node 8 to node 16 with capacity 7,\nan edge from node 9 to node 0 with capacity 9,\nan edge from node 9 to node 10 with capacity 8,\nan edge from node 9 to node 6 with capacity 19,\nan edge from node 9 to node 14 with capacity 6,\nan edge from node 9 to node 3 with capacity 13,\nan edge from node 10 to node 6 with capacity 12,\nan edge from node 10 to node 3 with capacity 9,\nan edge from node 10 to node 16 with capacity 20,\nan edge from node 11 to node 13 with capacity 2,\nan edge from node 12 to node 0 with capacity 2,\nan edge from node 12 to node 5 with capacity 19,\nan edge from node 12 to node 16 with capacity 16,\nan edge from node 12 to node 13 with capacity 8,\nan edge from node 12 to node 15 with capacity 19,\nan edge from node 13 to node 6 with capacity 12,\nan edge from node 13 to node 5 with capacity 14,\nan edge from node 13 to node 3 with capacity 16,\nan edge from node 14 to node 0 with capacity 2,\nan edge from node 14 to node 12 with capacity 3,\nan edge from node 14 to node 13 with capacity 20,\nan edge from node 15 to node 13 with capacity 16,\nan edge from node 16 to node 0 with capacity 19,\nan edge from node 16 to node 1 with capacity 18,\nan edge from node 16 to node 11 with capacity 1,\nWhat is the maximum flow from node 9 to node 0:"
            },
            {
                "from": "gpt",
                "value": "52."
            }
        ]
    },
    {
        "id": "flow-hard-graph667",
        "image": "data/flow/graph_visual/hard/graph667.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 13 with capacity 18,\nan edge from node 0 to node 15 with capacity 9,\nan edge from node 1 to node 13 with capacity 20,\nan edge from node 1 to node 3 with capacity 2,\nan edge from node 1 to node 11 with capacity 5,\nan edge from node 2 to node 14 with capacity 19,\nan edge from node 2 to node 4 with capacity 7,\nan edge from node 2 to node 3 with capacity 6,\nan edge from node 2 to node 7 with capacity 16,\nan edge from node 2 to node 1 with capacity 16,\nan edge from node 2 to node 11 with capacity 20,\nan edge from node 2 to node 8 with capacity 16,\nan edge from node 3 to node 1 with capacity 16,\nan edge from node 3 to node 11 with capacity 7,\nan edge from node 4 to node 10 with capacity 16,\nan edge from node 4 to node 7 with capacity 2,\nan edge from node 4 to node 12 with capacity 19,\nan edge from node 5 to node 15 with capacity 12,\nan edge from node 5 to node 3 with capacity 5,\nan edge from node 5 to node 1 with capacity 12,\nan edge from node 5 to node 11 with capacity 18,\nan edge from node 6 to node 13 with capacity 18,\nan edge from node 6 to node 14 with capacity 20,\nan edge from node 6 to node 10 with capacity 14,\nan edge from node 6 to node 7 with capacity 18,\nan edge from node 6 to node 11 with capacity 19,\nan edge from node 6 to node 8 with capacity 15,\nan edge from node 6 to node 12 with capacity 3,\nan edge from node 7 to node 15 with capacity 7,\nan edge from node 7 to node 2 with capacity 1,\nan edge from node 7 to node 1 with capacity 20,\nan edge from node 7 to node 11 with capacity 7,\nan edge from node 8 to node 15 with capacity 11,\nan edge from node 8 to node 2 with capacity 13,\nan edge from node 8 to node 6 with capacity 9,\nan edge from node 8 to node 5 with capacity 13,\nan edge from node 8 to node 1 with capacity 12,\nan edge from node 8 to node 12 with capacity 20,\nan edge from node 9 to node 13 with capacity 12,\nan edge from node 9 to node 0 with capacity 20,\nan edge from node 9 to node 7 with capacity 10,\nan edge from node 9 to node 6 with capacity 15,\nan edge from node 9 to node 5 with capacity 17,\nan edge from node 10 to node 2 with capacity 8,\nan edge from node 10 to node 7 with capacity 14,\nan edge from node 10 to node 1 with capacity 11,\nan edge from node 12 to node 2 with capacity 3,\nan edge from node 12 to node 10 with capacity 17,\nan edge from node 12 to node 6 with capacity 18,\nan edge from node 12 to node 1 with capacity 10,\nan edge from node 13 to node 7 with capacity 17,\nan edge from node 14 to node 13 with capacity 15,\nan edge from node 14 to node 11 with capacity 15,\nan edge from node 14 to node 12 with capacity 17,\nan edge from node 15 to node 4 with capacity 18,\nan edge from node 15 to node 11 with capacity 13,\nWhat is the maximum flow from node 12 to node 13:"
            },
            {
                "from": "gpt",
                "value": "48."
            }
        ]
    },
    {
        "id": "flow-hard-graph513",
        "image": "data/flow/graph_visual/hard/graph513.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 13 with capacity 17,\nan edge from node 0 to node 2 with capacity 16,\nan edge from node 0 to node 9 with capacity 1,\nan edge from node 0 to node 8 with capacity 4,\nan edge from node 0 to node 5 with capacity 13,\nan edge from node 0 to node 10 with capacity 13,\nan edge from node 1 to node 4 with capacity 7,\nan edge from node 1 to node 8 with capacity 15,\nan edge from node 2 to node 11 with capacity 13,\nan edge from node 2 to node 4 with capacity 7,\nan edge from node 2 to node 13 with capacity 13,\nan edge from node 2 to node 9 with capacity 5,\nan edge from node 2 to node 8 with capacity 7,\nan edge from node 3 to node 11 with capacity 14,\nan edge from node 3 to node 7 with capacity 2,\nan edge from node 3 to node 12 with capacity 13,\nan edge from node 3 to node 6 with capacity 5,\nan edge from node 3 to node 8 with capacity 13,\nan edge from node 3 to node 10 with capacity 2,\nan edge from node 4 to node 2 with capacity 9,\nan edge from node 4 to node 14 with capacity 9,\nan edge from node 5 to node 14 with capacity 19,\nan edge from node 5 to node 8 with capacity 9,\nan edge from node 6 to node 11 with capacity 4,\nan edge from node 6 to node 13 with capacity 11,\nan edge from node 6 to node 2 with capacity 7,\nan edge from node 6 to node 9 with capacity 18,\nan edge from node 6 to node 12 with capacity 19,\nan edge from node 6 to node 8 with capacity 2,\nan edge from node 7 to node 11 with capacity 5,\nan edge from node 7 to node 13 with capacity 17,\nan edge from node 7 to node 2 with capacity 17,\nan edge from node 7 to node 9 with capacity 18,\nan edge from node 7 to node 1 with capacity 13,\nan edge from node 7 to node 12 with capacity 16,\nan edge from node 7 to node 3 with capacity 2,\nan edge from node 7 to node 8 with capacity 17,\nan edge from node 7 to node 10 with capacity 16,\nan edge from node 8 to node 4 with capacity 7,\nan edge from node 8 to node 0 with capacity 1,\nan edge from node 8 to node 3 with capacity 16,\nan edge from node 9 to node 0 with capacity 12,\nan edge from node 9 to node 7 with capacity 5,\nan edge from node 9 to node 8 with capacity 9,\nan edge from node 9 to node 10 with capacity 4,\nan edge from node 10 to node 0 with capacity 16,\nan edge from node 11 to node 1 with capacity 9,\nan edge from node 11 to node 3 with capacity 7,\nan edge from node 12 to node 13 with capacity 1,\nan edge from node 12 to node 9 with capacity 17,\nan edge from node 12 to node 7 with capacity 2,\nan edge from node 13 to node 0 with capacity 18,\nan edge from node 13 to node 8 with capacity 12,\nan edge from node 14 to node 2 with capacity 9,\nan edge from node 14 to node 1 with capacity 4,\nan edge from node 14 to node 3 with capacity 9,\nan edge from node 14 to node 10 with capacity 17,\nWhat is the maximum flow from node 1 to node 11:"
            },
            {
                "from": "gpt",
                "value": "22."
            }
        ]
    },
    {
        "id": "flow-hard-graph905",
        "image": "data/flow/graph_visual/hard/graph905.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 6 with capacity 1,\nan edge from node 0 to node 2 with capacity 20,\nan edge from node 0 to node 10 with capacity 2,\nan edge from node 0 to node 15 with capacity 8,\nan edge from node 0 to node 3 with capacity 8,\nan edge from node 0 to node 1 with capacity 15,\nan edge from node 1 to node 2 with capacity 10,\nan edge from node 1 to node 12 with capacity 18,\nan edge from node 2 to node 5 with capacity 17,\nan edge from node 3 to node 12 with capacity 6,\nan edge from node 4 to node 6 with capacity 6,\nan edge from node 4 to node 14 with capacity 4,\nan edge from node 4 to node 1 with capacity 10,\nan edge from node 4 to node 13 with capacity 16,\nan edge from node 5 to node 8 with capacity 6,\nan edge from node 5 to node 2 with capacity 7,\nan edge from node 5 to node 12 with capacity 14,\nan edge from node 5 to node 16 with capacity 17,\nan edge from node 6 to node 14 with capacity 5,\nan edge from node 6 to node 9 with capacity 3,\nan edge from node 6 to node 0 with capacity 7,\nan edge from node 6 to node 16 with capacity 2,\nan edge from node 6 to node 15 with capacity 6,\nan edge from node 6 to node 1 with capacity 3,\nan edge from node 7 to node 4 with capacity 1,\nan edge from node 7 to node 8 with capacity 12,\nan edge from node 7 to node 14 with capacity 18,\nan edge from node 7 to node 9 with capacity 16,\nan edge from node 7 to node 0 with capacity 8,\nan edge from node 8 to node 5 with capacity 19,\nan edge from node 8 to node 0 with capacity 1,\nan edge from node 8 to node 10 with capacity 4,\nan edge from node 8 to node 16 with capacity 15,\nan edge from node 8 to node 7 with capacity 2,\nan edge from node 9 to node 14 with capacity 4,\nan edge from node 9 to node 10 with capacity 14,\nan edge from node 9 to node 16 with capacity 5,\nan edge from node 9 to node 3 with capacity 4,\nan edge from node 10 to node 0 with capacity 3,\nan edge from node 10 to node 17 with capacity 11,\nan edge from node 10 to node 7 with capacity 7,\nan edge from node 11 to node 6 with capacity 6,\nan edge from node 11 to node 8 with capacity 14,\nan edge from node 11 to node 2 with capacity 1,\nan edge from node 12 to node 6 with capacity 6,\nan edge from node 12 to node 10 with capacity 2,\nan edge from node 12 to node 16 with capacity 3,\nan edge from node 12 to node 1 with capacity 8,\nan edge from node 13 to node 6 with capacity 15,\nan edge from node 13 to node 11 with capacity 1,\nan edge from node 13 to node 7 with capacity 16,\nan edge from node 14 to node 4 with capacity 16,\nan edge from node 14 to node 10 with capacity 11,\nan edge from node 14 to node 15 with capacity 18,\nan edge from node 14 to node 3 with capacity 19,\nan edge from node 14 to node 7 with capacity 8,\nan edge from node 15 to node 4 with capacity 1,\nan edge from node 15 to node 5 with capacity 5,\nan edge from node 15 to node 9 with capacity 8,\nan edge from node 15 to node 0 with capacity 20,\nan edge from node 15 to node 10 with capacity 1,\nan edge from node 16 to node 4 with capacity 18,\nan edge from node 16 to node 9 with capacity 11,\nan edge from node 16 to node 7 with capacity 16,\nan edge from node 17 to node 6 with capacity 12,\nan edge from node 17 to node 11 with capacity 4,\nan edge from node 17 to node 9 with capacity 19,\nan edge from node 17 to node 0 with capacity 11,\nWhat is the maximum flow from node 2 to node 16:"
            },
            {
                "from": "gpt",
                "value": "17."
            }
        ]
    },
    {
        "id": "flow-hard-graph146",
        "image": "data/flow/graph_visual/hard/graph146.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 2 with capacity 18,\nan edge from node 0 to node 9 with capacity 20,\nan edge from node 1 to node 6 with capacity 12,\nan edge from node 1 to node 7 with capacity 3,\nan edge from node 2 to node 4 with capacity 16,\nan edge from node 2 to node 1 with capacity 15,\nan edge from node 2 to node 11 with capacity 4,\nan edge from node 2 to node 9 with capacity 12,\nan edge from node 3 to node 4 with capacity 4,\nan edge from node 3 to node 8 with capacity 3,\nan edge from node 3 to node 1 with capacity 10,\nan edge from node 3 to node 2 with capacity 14,\nan edge from node 3 to node 0 with capacity 20,\nan edge from node 3 to node 7 with capacity 12,\nan edge from node 3 to node 11 with capacity 15,\nan edge from node 4 to node 5 with capacity 14,\nan edge from node 4 to node 0 with capacity 15,\nan edge from node 5 to node 4 with capacity 11,\nan edge from node 5 to node 6 with capacity 18,\nan edge from node 5 to node 3 with capacity 19,\nan edge from node 5 to node 0 with capacity 16,\nan edge from node 5 to node 7 with capacity 15,\nan edge from node 6 to node 8 with capacity 12,\nan edge from node 6 to node 3 with capacity 3,\nan edge from node 7 to node 4 with capacity 5,\nan edge from node 7 to node 5 with capacity 11,\nan edge from node 7 to node 10 with capacity 20,\nan edge from node 8 to node 1 with capacity 15,\nan edge from node 8 to node 2 with capacity 14,\nan edge from node 8 to node 11 with capacity 17,\nan edge from node 8 to node 10 with capacity 17,\nan edge from node 9 to node 1 with capacity 1,\nan edge from node 9 to node 7 with capacity 10,\nan edge from node 10 to node 8 with capacity 15,\nan edge from node 10 to node 2 with capacity 5,\nan edge from node 10 to node 3 with capacity 2,\nan edge from node 10 to node 0 with capacity 16,\nan edge from node 10 to node 7 with capacity 2,\nan edge from node 11 to node 4 with capacity 15,\nan edge from node 11 to node 6 with capacity 10,\nan edge from node 11 to node 5 with capacity 19,\nWhat is the maximum flow from node 10 to node 1:"
            },
            {
                "from": "gpt",
                "value": "40."
            }
        ]
    },
    {
        "id": "flow-hard-graph138",
        "image": "data/flow/graph_visual/hard/graph138.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 3 with capacity 8,\nan edge from node 0 to node 11 with capacity 5,\nan edge from node 0 to node 6 with capacity 19,\nan edge from node 0 to node 4 with capacity 13,\nan edge from node 1 to node 9 with capacity 15,\nan edge from node 1 to node 5 with capacity 16,\nan edge from node 2 to node 3 with capacity 17,\nan edge from node 2 to node 0 with capacity 7,\nan edge from node 2 to node 4 with capacity 16,\nan edge from node 2 to node 7 with capacity 8,\nan edge from node 2 to node 1 with capacity 17,\nan edge from node 3 to node 0 with capacity 13,\nan edge from node 3 to node 8 with capacity 8,\nan edge from node 3 to node 11 with capacity 3,\nan edge from node 4 to node 5 with capacity 15,\nan edge from node 4 to node 11 with capacity 1,\nan edge from node 5 to node 10 with capacity 7,\nan edge from node 5 to node 6 with capacity 3,\nan edge from node 5 to node 7 with capacity 6,\nan edge from node 6 to node 11 with capacity 7,\nan edge from node 6 to node 4 with capacity 5,\nan edge from node 7 to node 9 with capacity 18,\nan edge from node 7 to node 5 with capacity 13,\nan edge from node 8 to node 9 with capacity 5,\nan edge from node 8 to node 5 with capacity 9,\nan edge from node 8 to node 4 with capacity 19,\nan edge from node 8 to node 7 with capacity 14,\nan edge from node 9 to node 7 with capacity 20,\nan edge from node 10 to node 2 with capacity 10,\nan edge from node 10 to node 0 with capacity 7,\nan edge from node 10 to node 8 with capacity 3,\nan edge from node 10 to node 6 with capacity 20,\nan edge from node 11 to node 2 with capacity 17,\nan edge from node 11 to node 0 with capacity 19,\nan edge from node 11 to node 1 with capacity 18,\nWhat is the maximum flow from node 11 to node 10:"
            },
            {
                "from": "gpt",
                "value": "7."
            }
        ]
    },
    {
        "id": "flow-hard-graph430",
        "image": "data/flow/graph_visual/hard/graph430.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 9 with capacity 9,\nan edge from node 0 to node 7 with capacity 15,\nan edge from node 0 to node 1 with capacity 7,\nan edge from node 0 to node 12 with capacity 15,\nan edge from node 0 to node 6 with capacity 3,\nan edge from node 1 to node 5 with capacity 6,\nan edge from node 1 to node 8 with capacity 4,\nan edge from node 2 to node 5 with capacity 6,\nan edge from node 2 to node 0 with capacity 5,\nan edge from node 3 to node 8 with capacity 7,\nan edge from node 3 to node 4 with capacity 7,\nan edge from node 3 to node 12 with capacity 14,\nan edge from node 3 to node 6 with capacity 14,\nan edge from node 4 to node 8 with capacity 10,\nan edge from node 4 to node 7 with capacity 14,\nan edge from node 5 to node 8 with capacity 19,\nan edge from node 5 to node 10 with capacity 8,\nan edge from node 5 to node 9 with capacity 10,\nan edge from node 5 to node 2 with capacity 3,\nan edge from node 5 to node 7 with capacity 15,\nan edge from node 5 to node 3 with capacity 6,\nan edge from node 6 to node 5 with capacity 13,\nan edge from node 6 to node 10 with capacity 16,\nan edge from node 6 to node 1 with capacity 15,\nan edge from node 6 to node 0 with capacity 18,\nan edge from node 6 to node 12 with capacity 5,\nan edge from node 7 to node 1 with capacity 10,\nan edge from node 8 to node 5 with capacity 5,\nan edge from node 8 to node 9 with capacity 4,\nan edge from node 8 to node 7 with capacity 15,\nan edge from node 8 to node 12 with capacity 12,\nan edge from node 9 to node 11 with capacity 10,\nan edge from node 9 to node 10 with capacity 1,\nan edge from node 9 to node 2 with capacity 12,\nan edge from node 9 to node 1 with capacity 19,\nan edge from node 9 to node 12 with capacity 4,\nan edge from node 10 to node 5 with capacity 5,\nan edge from node 10 to node 8 with capacity 9,\nan edge from node 10 to node 1 with capacity 17,\nan edge from node 11 to node 0 with capacity 11,\nan edge from node 12 to node 13 with capacity 20,\nan edge from node 12 to node 9 with capacity 16,\nan edge from node 12 to node 4 with capacity 10,\nan edge from node 12 to node 6 with capacity 7,\nan edge from node 13 to node 11 with capacity 9,\nan edge from node 13 to node 4 with capacity 8,\nan edge from node 13 to node 7 with capacity 15,\nWhat is the maximum flow from node 8 to node 0:"
            },
            {
                "from": "gpt",
                "value": "27."
            }
        ]
    },
    {
        "id": "flow-hard-graph1034",
        "image": "data/flow/graph_visual/hard/graph1034.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 14 with capacity 11,\nan edge from node 0 to node 15 with capacity 7,\nan edge from node 0 to node 13 with capacity 18,\nan edge from node 0 to node 16 with capacity 10,\nan edge from node 0 to node 17 with capacity 8,\nan edge from node 0 to node 5 with capacity 1,\nan edge from node 1 to node 2 with capacity 8,\nan edge from node 1 to node 14 with capacity 12,\nan edge from node 1 to node 15 with capacity 19,\nan edge from node 1 to node 8 with capacity 7,\nan edge from node 1 to node 9 with capacity 8,\nan edge from node 2 to node 3 with capacity 8,\nan edge from node 2 to node 6 with capacity 6,\nan edge from node 2 to node 5 with capacity 6,\nan edge from node 3 to node 16 with capacity 8,\nan edge from node 3 to node 11 with capacity 12,\nan edge from node 3 to node 17 with capacity 1,\nan edge from node 3 to node 5 with capacity 10,\nan edge from node 4 to node 2 with capacity 3,\nan edge from node 4 to node 12 with capacity 18,\nan edge from node 4 to node 3 with capacity 20,\nan edge from node 4 to node 0 with capacity 15,\nan edge from node 5 to node 4 with capacity 7,\nan edge from node 5 to node 12 with capacity 18,\nan edge from node 5 to node 10 with capacity 3,\nan edge from node 6 to node 4 with capacity 2,\nan edge from node 6 to node 15 with capacity 10,\nan edge from node 6 to node 16 with capacity 19,\nan edge from node 7 to node 2 with capacity 1,\nan edge from node 7 to node 4 with capacity 1,\nan edge from node 8 to node 1 with capacity 10,\nan edge from node 8 to node 12 with capacity 10,\nan edge from node 8 to node 16 with capacity 7,\nan edge from node 8 to node 10 with capacity 3,\nan edge from node 8 to node 5 with capacity 4,\nan edge from node 9 to node 2 with capacity 6,\nan edge from node 9 to node 11 with capacity 3,\nan edge from node 9 to node 17 with capacity 3,\nan edge from node 10 to node 18 with capacity 2,\nan edge from node 10 to node 2 with capacity 1,\nan edge from node 10 to node 4 with capacity 19,\nan edge from node 10 to node 13 with capacity 5,\nan edge from node 11 to node 14 with capacity 13,\nan edge from node 11 to node 3 with capacity 17,\nan edge from node 11 to node 8 with capacity 6,\nan edge from node 11 to node 0 with capacity 14,\nan edge from node 11 to node 17 with capacity 2,\nan edge from node 11 to node 5 with capacity 6,\nan edge from node 12 to node 18 with capacity 16,\nan edge from node 12 to node 6 with capacity 4,\nan edge from node 12 to node 16 with capacity 7,\nan edge from node 12 to node 11 with capacity 10,\nan edge from node 12 to node 5 with capacity 7,\nan edge from node 13 to node 4 with capacity 18,\nan edge from node 13 to node 14 with capacity 15,\nan edge from node 13 to node 12 with capacity 9,\nan edge from node 13 to node 15 with capacity 14,\nan edge from node 13 to node 16 with capacity 14,\nan edge from node 13 to node 10 with capacity 9,\nan edge from node 13 to node 11 with capacity 6,\nan edge from node 13 to node 5 with capacity 1,\nan edge from node 14 to node 12 with capacity 2,\nan edge from node 14 to node 3 with capacity 16,\nan edge from node 14 to node 16 with capacity 4,\nan edge from node 14 to node 7 with capacity 12,\nan edge from node 14 to node 5 with capacity 6,\nan edge from node 15 to node 14 with capacity 18,\nan edge from node 15 to node 0 with capacity 17,\nan edge from node 15 to node 17 with capacity 1,\nan edge from node 16 to node 13 with capacity 10,\nan edge from node 16 to node 8 with capacity 2,\nan edge from node 17 to node 12 with capacity 18,\nan edge from node 17 to node 15 with capacity 3,\nan edge from node 17 to node 16 with capacity 17,\nan edge from node 17 to node 11 with capacity 6,\nan edge from node 18 to node 2 with capacity 18,\nan edge from node 18 to node 1 with capacity 16,\nan edge from node 18 to node 14 with capacity 17,\nan edge from node 18 to node 6 with capacity 13,\nan edge from node 18 to node 9 with capacity 19,\nan edge from node 18 to node 5 with capacity 18,\nWhat is the maximum flow from node 4 to node 1:"
            },
            {
                "from": "gpt",
                "value": "24."
            }
        ]
    },
    {
        "id": "flow-hard-graph1161",
        "image": "data/flow/graph_visual/hard/graph1161.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 9 with capacity 10,\nan edge from node 0 to node 11 with capacity 5,\nan edge from node 1 to node 0 with capacity 14,\nan edge from node 1 to node 3 with capacity 15,\nan edge from node 1 to node 17 with capacity 13,\nan edge from node 1 to node 5 with capacity 1,\nan edge from node 1 to node 7 with capacity 12,\nan edge from node 1 to node 16 with capacity 11,\nan edge from node 1 to node 12 with capacity 19,\nan edge from node 2 to node 19 with capacity 7,\nan edge from node 2 to node 16 with capacity 13,\nan edge from node 2 to node 12 with capacity 7,\nan edge from node 2 to node 13 with capacity 7,\nan edge from node 3 to node 9 with capacity 17,\nan edge from node 3 to node 0 with capacity 16,\nan edge from node 3 to node 16 with capacity 9,\nan edge from node 3 to node 15 with capacity 9,\nan edge from node 3 to node 8 with capacity 12,\nan edge from node 4 to node 9 with capacity 20,\nan edge from node 4 to node 0 with capacity 19,\nan edge from node 4 to node 19 with capacity 20,\nan edge from node 4 to node 17 with capacity 12,\nan edge from node 4 to node 10 with capacity 18,\nan edge from node 4 to node 15 with capacity 12,\nan edge from node 5 to node 1 with capacity 17,\nan edge from node 5 to node 14 with capacity 11,\nan edge from node 5 to node 6 with capacity 11,\nan edge from node 5 to node 19 with capacity 1,\nan edge from node 5 to node 11 with capacity 20,\nan edge from node 5 to node 3 with capacity 17,\nan edge from node 5 to node 2 with capacity 10,\nan edge from node 5 to node 10 with capacity 6,\nan edge from node 5 to node 4 with capacity 17,\nan edge from node 6 to node 2 with capacity 9,\nan edge from node 6 to node 16 with capacity 1,\nan edge from node 6 to node 13 with capacity 18,\nan edge from node 7 to node 1 with capacity 13,\nan edge from node 7 to node 14 with capacity 12,\nan edge from node 7 to node 17 with capacity 13,\nan edge from node 7 to node 16 with capacity 9,\nan edge from node 7 to node 4 with capacity 5,\nan edge from node 7 to node 18 with capacity 11,\nan edge from node 8 to node 1 with capacity 2,\nan edge from node 8 to node 11 with capacity 12,\nan edge from node 8 to node 17 with capacity 16,\nan edge from node 8 to node 4 with capacity 20,\nan edge from node 8 to node 15 with capacity 4,\nan edge from node 9 to node 1 with capacity 13,\nan edge from node 9 to node 0 with capacity 11,\nan edge from node 9 to node 19 with capacity 13,\nan edge from node 9 to node 16 with capacity 4,\nan edge from node 9 to node 15 with capacity 18,\nan edge from node 9 to node 18 with capacity 10,\nan edge from node 9 to node 8 with capacity 4,\nan edge from node 10 to node 4 with capacity 12,\nan edge from node 11 to node 1 with capacity 17,\nan edge from node 11 to node 14 with capacity 9,\nan edge from node 11 to node 0 with capacity 14,\nan edge from node 11 to node 6 with capacity 19,\nan edge from node 11 to node 19 with capacity 11,\nan edge from node 11 to node 16 with capacity 9,\nan edge from node 11 to node 4 with capacity 19,\nan edge from node 12 to node 19 with capacity 17,\nan edge from node 12 to node 5 with capacity 12,\nan edge from node 12 to node 13 with capacity 6,\nan edge from node 13 to node 1 with capacity 7,\nan edge from node 13 to node 9 with capacity 5,\nan edge from node 13 to node 14 with capacity 8,\nan edge from node 13 to node 5 with capacity 19,\nan edge from node 13 to node 16 with capacity 12,\nan edge from node 13 to node 12 with capacity 12,\nan edge from node 14 to node 1 with capacity 19,\nan edge from node 14 to node 9 with capacity 19,\nan edge from node 14 to node 19 with capacity 16,\nan edge from node 14 to node 10 with capacity 7,\nan edge from node 14 to node 13 with capacity 5,\nan edge from node 15 to node 4 with capacity 18,\nan edge from node 15 to node 12 with capacity 4,\nan edge from node 15 to node 18 with capacity 8,\nan edge from node 16 to node 11 with capacity 2,\nan edge from node 16 to node 15 with capacity 7,\nan edge from node 17 to node 3 with capacity 1,\nan edge from node 17 to node 2 with capacity 12,\nan edge from node 17 to node 15 with capacity 9,\nan edge from node 17 to node 12 with capacity 19,\nan edge from node 17 to node 13 with capacity 5,\nan edge from node 18 to node 0 with capacity 17,\nan edge from node 18 to node 6 with capacity 13,\nan edge from node 18 to node 13 with capacity 7,\nan edge from node 19 to node 0 with capacity 19,\nan edge from node 19 to node 2 with capacity 7,\nan edge from node 19 to node 17 with capacity 5,\nan edge from node 19 to node 10 with capacity 2,\nan edge from node 19 to node 12 with capacity 16,\nan edge from node 19 to node 18 with capacity 9,\nWhat is the maximum flow from node 16 to node 12:"
            },
            {
                "from": "gpt",
                "value": "9."
            }
        ]
    },
    {
        "id": "flow-hard-graph901",
        "image": "data/flow/graph_visual/hard/graph901.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 8 with capacity 16,\nan edge from node 0 to node 3 with capacity 4,\nan edge from node 0 to node 9 with capacity 14,\nan edge from node 0 to node 12 with capacity 7,\nan edge from node 0 to node 4 with capacity 10,\nan edge from node 0 to node 16 with capacity 8,\nan edge from node 1 to node 9 with capacity 18,\nan edge from node 1 to node 12 with capacity 14,\nan edge from node 1 to node 6 with capacity 11,\nan edge from node 1 to node 14 with capacity 20,\nan edge from node 1 to node 11 with capacity 15,\nan edge from node 2 to node 3 with capacity 13,\nan edge from node 2 to node 0 with capacity 8,\nan edge from node 2 to node 4 with capacity 5,\nan edge from node 2 to node 7 with capacity 15,\nan edge from node 3 to node 13 with capacity 7,\nan edge from node 3 to node 6 with capacity 11,\nan edge from node 3 to node 4 with capacity 6,\nan edge from node 3 to node 11 with capacity 11,\nan edge from node 4 to node 3 with capacity 15,\nan edge from node 4 to node 0 with capacity 17,\nan edge from node 4 to node 14 with capacity 9,\nan edge from node 4 to node 17 with capacity 9,\nan edge from node 5 to node 12 with capacity 13,\nan edge from node 5 to node 0 with capacity 17,\nan edge from node 5 to node 10 with capacity 19,\nan edge from node 5 to node 17 with capacity 2,\nan edge from node 5 to node 1 with capacity 19,\nan edge from node 5 to node 11 with capacity 4,\nan edge from node 6 to node 13 with capacity 15,\nan edge from node 6 to node 0 with capacity 10,\nan edge from node 6 to node 16 with capacity 5,\nan edge from node 7 to node 2 with capacity 17,\nan edge from node 7 to node 8 with capacity 17,\nan edge from node 7 to node 5 with capacity 12,\nan edge from node 7 to node 12 with capacity 18,\nan edge from node 7 to node 6 with capacity 6,\nan edge from node 7 to node 1 with capacity 11,\nan edge from node 7 to node 4 with capacity 10,\nan edge from node 8 to node 5 with capacity 2,\nan edge from node 8 to node 15 with capacity 11,\nan edge from node 9 to node 5 with capacity 15,\nan edge from node 9 to node 10 with capacity 16,\nan edge from node 9 to node 1 with capacity 20,\nan edge from node 10 to node 4 with capacity 5,\nan edge from node 11 to node 8 with capacity 8,\nan edge from node 11 to node 5 with capacity 16,\nan edge from node 11 to node 3 with capacity 11,\nan edge from node 11 to node 0 with capacity 13,\nan edge from node 11 to node 1 with capacity 7,\nan edge from node 11 to node 7 with capacity 19,\nan edge from node 12 to node 4 with capacity 20,\nan edge from node 12 to node 16 with capacity 14,\nan edge from node 13 to node 12 with capacity 11,\nan edge from node 13 to node 14 with capacity 18,\nan edge from node 13 to node 17 with capacity 16,\nan edge from node 14 to node 5 with capacity 9,\nan edge from node 14 to node 9 with capacity 7,\nan edge from node 14 to node 0 with capacity 9,\nan edge from node 14 to node 10 with capacity 2,\nan edge from node 14 to node 4 with capacity 3,\nan edge from node 14 to node 16 with capacity 2,\nan edge from node 15 to node 5 with capacity 2,\nan edge from node 15 to node 14 with capacity 11,\nan edge from node 16 to node 8 with capacity 1,\nan edge from node 16 to node 13 with capacity 1,\nan edge from node 16 to node 3 with capacity 19,\nan edge from node 16 to node 17 with capacity 3,\nan edge from node 16 to node 1 with capacity 11,\nan edge from node 17 to node 5 with capacity 4,\nan edge from node 17 to node 13 with capacity 19,\nan edge from node 17 to node 9 with capacity 15,\nan edge from node 17 to node 12 with capacity 7,\nan edge from node 17 to node 4 with capacity 16,\nWhat is the maximum flow from node 10 to node 4:"
            },
            {
                "from": "gpt",
                "value": "5."
            }
        ]
    },
    {
        "id": "flow-hard-graph958",
        "image": "data/flow/graph_visual/hard/graph958.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 14 with capacity 11,\nan edge from node 0 to node 17 with capacity 6,\nan edge from node 0 to node 11 with capacity 7,\nan edge from node 0 to node 10 with capacity 7,\nan edge from node 0 to node 9 with capacity 19,\nan edge from node 1 to node 10 with capacity 3,\nan edge from node 1 to node 0 with capacity 13,\nan edge from node 1 to node 3 with capacity 3,\nan edge from node 1 to node 4 with capacity 14,\nan edge from node 1 to node 6 with capacity 19,\nan edge from node 2 to node 14 with capacity 8,\nan edge from node 2 to node 7 with capacity 20,\nan edge from node 2 to node 0 with capacity 19,\nan edge from node 2 to node 15 with capacity 2,\nan edge from node 2 to node 9 with capacity 2,\nan edge from node 2 to node 12 with capacity 7,\nan edge from node 3 to node 5 with capacity 3,\nan edge from node 3 to node 6 with capacity 10,\nan edge from node 3 to node 9 with capacity 4,\nan edge from node 3 to node 12 with capacity 18,\nan edge from node 4 to node 15 with capacity 7,\nan edge from node 4 to node 2 with capacity 13,\nan edge from node 4 to node 9 with capacity 14,\nan edge from node 5 to node 14 with capacity 13,\nan edge from node 5 to node 7 with capacity 1,\nan edge from node 5 to node 8 with capacity 3,\nan edge from node 5 to node 11 with capacity 18,\nan edge from node 5 to node 1 with capacity 9,\nan edge from node 5 to node 16 with capacity 15,\nan edge from node 6 to node 14 with capacity 15,\nan edge from node 6 to node 8 with capacity 16,\nan edge from node 6 to node 13 with capacity 3,\nan edge from node 6 to node 4 with capacity 2,\nan edge from node 6 to node 2 with capacity 3,\nan edge from node 6 to node 12 with capacity 18,\nan edge from node 7 to node 14 with capacity 17,\nan edge from node 7 to node 17 with capacity 3,\nan edge from node 7 to node 4 with capacity 1,\nan edge from node 7 to node 6 with capacity 1,\nan edge from node 7 to node 16 with capacity 12,\nan edge from node 8 to node 7 with capacity 10,\nan edge from node 8 to node 0 with capacity 2,\nan edge from node 8 to node 15 with capacity 1,\nan edge from node 8 to node 3 with capacity 12,\nan edge from node 8 to node 12 with capacity 2,\nan edge from node 10 to node 13 with capacity 19,\nan edge from node 10 to node 2 with capacity 13,\nan edge from node 10 to node 6 with capacity 19,\nan edge from node 10 to node 12 with capacity 18,\nan edge from node 11 to node 13 with capacity 8,\nan edge from node 11 to node 0 with capacity 15,\nan edge from node 11 to node 1 with capacity 6,\nan edge from node 11 to node 5 with capacity 13,\nan edge from node 11 to node 16 with capacity 11,\nan edge from node 11 to node 12 with capacity 8,\nan edge from node 12 to node 17 with capacity 10,\nan edge from node 12 to node 1 with capacity 13,\nan edge from node 12 to node 15 with capacity 14,\nan edge from node 13 to node 8 with capacity 1,\nan edge from node 14 to node 10 with capacity 16,\nan edge from node 14 to node 1 with capacity 17,\nan edge from node 14 to node 5 with capacity 14,\nan edge from node 14 to node 15 with capacity 10,\nan edge from node 14 to node 12 with capacity 3,\nan edge from node 15 to node 11 with capacity 14,\nan edge from node 15 to node 0 with capacity 6,\nan edge from node 16 to node 7 with capacity 3,\nan edge from node 16 to node 8 with capacity 7,\nan edge from node 16 to node 4 with capacity 9,\nan edge from node 16 to node 6 with capacity 20,\nan edge from node 16 to node 9 with capacity 15,\nan edge from node 17 to node 1 with capacity 8,\nan edge from node 17 to node 5 with capacity 4,\nan edge from node 17 to node 9 with capacity 2,\nWhat is the maximum flow from node 11 to node 0:"
            },
            {
                "from": "gpt",
                "value": "54."
            }
        ]
    },
    {
        "id": "flow-hard-graph758",
        "image": "data/flow/graph_visual/hard/graph758.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 3 with capacity 2,\nan edge from node 0 to node 11 with capacity 8,\nan edge from node 0 to node 6 with capacity 13,\nan edge from node 1 to node 14 with capacity 18,\nan edge from node 2 to node 15 with capacity 10,\nan edge from node 2 to node 10 with capacity 1,\nan edge from node 2 to node 0 with capacity 18,\nan edge from node 2 to node 11 with capacity 19,\nan edge from node 3 to node 5 with capacity 1,\nan edge from node 3 to node 2 with capacity 18,\nan edge from node 3 to node 13 with capacity 20,\nan edge from node 3 to node 1 with capacity 18,\nan edge from node 4 to node 15 with capacity 3,\nan edge from node 4 to node 0 with capacity 2,\nan edge from node 4 to node 16 with capacity 13,\nan edge from node 5 to node 4 with capacity 4,\nan edge from node 5 to node 10 with capacity 8,\nan edge from node 5 to node 12 with capacity 4,\nan edge from node 5 to node 11 with capacity 3,\nan edge from node 6 to node 15 with capacity 16,\nan edge from node 6 to node 4 with capacity 9,\nan edge from node 6 to node 9 with capacity 1,\nan edge from node 6 to node 11 with capacity 18,\nan edge from node 6 to node 1 with capacity 12,\nan edge from node 6 to node 16 with capacity 14,\nan edge from node 7 to node 2 with capacity 18,\nan edge from node 7 to node 15 with capacity 9,\nan edge from node 7 to node 4 with capacity 20,\nan edge from node 7 to node 9 with capacity 17,\nan edge from node 7 to node 1 with capacity 3,\nan edge from node 8 to node 4 with capacity 13,\nan edge from node 8 to node 10 with capacity 7,\nan edge from node 8 to node 6 with capacity 18,\nan edge from node 9 to node 5 with capacity 7,\nan edge from node 9 to node 4 with capacity 8,\nan edge from node 9 to node 13 with capacity 10,\nan edge from node 9 to node 0 with capacity 1,\nan edge from node 9 to node 11 with capacity 17,\nan edge from node 9 to node 8 with capacity 4,\nan edge from node 9 to node 16 with capacity 15,\nan edge from node 10 to node 5 with capacity 16,\nan edge from node 10 to node 2 with capacity 5,\nan edge from node 10 to node 15 with capacity 16,\nan edge from node 10 to node 3 with capacity 19,\nan edge from node 10 to node 0 with capacity 5,\nan edge from node 10 to node 8 with capacity 8,\nan edge from node 10 to node 6 with capacity 12,\nan edge from node 10 to node 16 with capacity 7,\nan edge from node 11 to node 2 with capacity 14,\nan edge from node 11 to node 15 with capacity 18,\nan edge from node 11 to node 13 with capacity 6,\nan edge from node 11 to node 7 with capacity 2,\nan edge from node 12 to node 5 with capacity 3,\nan edge from node 12 to node 3 with capacity 8,\nan edge from node 12 to node 13 with capacity 13,\nan edge from node 12 to node 14 with capacity 20,\nan edge from node 12 to node 1 with capacity 13,\nan edge from node 12 to node 8 with capacity 4,\nan edge from node 13 to node 15 with capacity 17,\nan edge from node 13 to node 9 with capacity 14,\nan edge from node 13 to node 12 with capacity 8,\nan edge from node 13 to node 6 with capacity 14,\nan edge from node 14 to node 5 with capacity 20,\nan edge from node 14 to node 15 with capacity 19,\nan edge from node 14 to node 3 with capacity 6,\nan edge from node 14 to node 7 with capacity 4,\nan edge from node 15 to node 14 with capacity 5,\nan edge from node 15 to node 11 with capacity 19,\nan edge from node 15 to node 8 with capacity 16,\nan edge from node 15 to node 16 with capacity 20,\nan edge from node 16 to node 10 with capacity 8,\nan edge from node 16 to node 0 with capacity 20,\nan edge from node 16 to node 12 with capacity 11,\nan edge from node 16 to node 7 with capacity 7,\nan edge from node 16 to node 6 with capacity 16,\nWhat is the maximum flow from node 3 to node 13:"
            },
            {
                "from": "gpt",
                "value": "49."
            }
        ]
    },
    {
        "id": "flow-hard-graph613",
        "image": "data/flow/graph_visual/hard/graph613.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 10 with capacity 10,\nan edge from node 1 to node 13 with capacity 16,\nan edge from node 2 to node 11 with capacity 2,\nan edge from node 2 to node 9 with capacity 20,\nan edge from node 2 to node 14 with capacity 9,\nan edge from node 2 to node 3 with capacity 20,\nan edge from node 3 to node 0 with capacity 16,\nan edge from node 3 to node 13 with capacity 10,\nan edge from node 3 to node 11 with capacity 3,\nan edge from node 3 to node 14 with capacity 6,\nan edge from node 3 to node 1 with capacity 1,\nan edge from node 4 to node 7 with capacity 15,\nan edge from node 4 to node 13 with capacity 9,\nan edge from node 5 to node 0 with capacity 13,\nan edge from node 5 to node 13 with capacity 7,\nan edge from node 5 to node 4 with capacity 14,\nan edge from node 5 to node 15 with capacity 15,\nan edge from node 6 to node 7 with capacity 20,\nan edge from node 6 to node 9 with capacity 17,\nan edge from node 6 to node 5 with capacity 2,\nan edge from node 6 to node 14 with capacity 12,\nan edge from node 6 to node 3 with capacity 6,\nan edge from node 7 to node 0 with capacity 9,\nan edge from node 7 to node 12 with capacity 13,\nan edge from node 7 to node 3 with capacity 8,\nan edge from node 8 to node 6 with capacity 10,\nan edge from node 8 to node 14 with capacity 18,\nan edge from node 8 to node 15 with capacity 5,\nan edge from node 8 to node 2 with capacity 15,\nan edge from node 9 to node 13 with capacity 9,\nan edge from node 9 to node 11 with capacity 9,\nan edge from node 9 to node 4 with capacity 14,\nan edge from node 9 to node 5 with capacity 2,\nan edge from node 10 to node 6 with capacity 7,\nan edge from node 10 to node 4 with capacity 18,\nan edge from node 10 to node 14 with capacity 10,\nan edge from node 10 to node 12 with capacity 19,\nan edge from node 11 to node 0 with capacity 14,\nan edge from node 11 to node 4 with capacity 7,\nan edge from node 11 to node 14 with capacity 5,\nan edge from node 11 to node 15 with capacity 2,\nan edge from node 11 to node 1 with capacity 17,\nan edge from node 11 to node 8 with capacity 20,\nan edge from node 11 to node 2 with capacity 20,\nan edge from node 12 to node 7 with capacity 20,\nan edge from node 12 to node 13 with capacity 16,\nan edge from node 12 to node 9 with capacity 3,\nan edge from node 12 to node 4 with capacity 3,\nan edge from node 13 to node 10 with capacity 14,\nan edge from node 13 to node 11 with capacity 17,\nan edge from node 13 to node 9 with capacity 13,\nan edge from node 14 to node 10 with capacity 6,\nan edge from node 14 to node 11 with capacity 3,\nan edge from node 14 to node 12 with capacity 16,\nan edge from node 14 to node 3 with capacity 20,\nan edge from node 14 to node 15 with capacity 4,\nan edge from node 14 to node 2 with capacity 14,\nan edge from node 15 to node 4 with capacity 10,\nan edge from node 15 to node 3 with capacity 9,\nWhat is the maximum flow from node 3 to node 9:"
            },
            {
                "from": "gpt",
                "value": "30."
            }
        ]
    },
    {
        "id": "flow-hard-graph40",
        "image": "data/flow/graph_visual/hard/graph40.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 1 to node 2 with capacity 10,\nan edge from node 1 to node 10 with capacity 14,\nan edge from node 1 to node 3 with capacity 18,\nan edge from node 1 to node 0 with capacity 1,\nan edge from node 1 to node 6 with capacity 9,\nan edge from node 2 to node 8 with capacity 20,\nan edge from node 2 to node 3 with capacity 7,\nan edge from node 2 to node 6 with capacity 8,\nan edge from node 3 to node 6 with capacity 2,\nan edge from node 4 to node 0 with capacity 6,\nan edge from node 4 to node 6 with capacity 10,\nan edge from node 6 to node 1 with capacity 13,\nan edge from node 6 to node 8 with capacity 5,\nan edge from node 6 to node 5 with capacity 17,\nan edge from node 7 to node 8 with capacity 6,\nan edge from node 7 to node 3 with capacity 20,\nan edge from node 8 to node 3 with capacity 2,\nan edge from node 8 to node 0 with capacity 20,\nan edge from node 8 to node 4 with capacity 4,\nan edge from node 9 to node 0 with capacity 5,\nan edge from node 9 to node 6 with capacity 20,\nan edge from node 10 to node 8 with capacity 15,\nWhat is the maximum flow from node 4 to node 3:"
            },
            {
                "from": "gpt",
                "value": "10."
            }
        ]
    },
    {
        "id": "flow-hard-graph694",
        "image": "data/flow/graph_visual/hard/graph694.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 10 with capacity 17,\nan edge from node 0 to node 7 with capacity 15,\nan edge from node 0 to node 2 with capacity 5,\nan edge from node 1 to node 13 with capacity 17,\nan edge from node 1 to node 0 with capacity 15,\nan edge from node 1 to node 8 with capacity 9,\nan edge from node 1 to node 12 with capacity 4,\nan edge from node 1 to node 10 with capacity 13,\nan edge from node 1 to node 14 with capacity 5,\nan edge from node 2 to node 0 with capacity 18,\nan edge from node 2 to node 11 with capacity 15,\nan edge from node 2 to node 4 with capacity 9,\nan edge from node 3 to node 11 with capacity 15,\nan edge from node 3 to node 15 with capacity 15,\nan edge from node 3 to node 9 with capacity 19,\nan edge from node 3 to node 4 with capacity 7,\nan edge from node 4 to node 13 with capacity 14,\nan edge from node 4 to node 11 with capacity 1,\nan edge from node 4 to node 5 with capacity 7,\nan edge from node 5 to node 13 with capacity 13,\nan edge from node 5 to node 2 with capacity 12,\nan edge from node 6 to node 12 with capacity 4,\nan edge from node 6 to node 11 with capacity 10,\nan edge from node 7 to node 3 with capacity 8,\nan edge from node 7 to node 8 with capacity 5,\nan edge from node 7 to node 12 with capacity 5,\nan edge from node 7 to node 6 with capacity 13,\nan edge from node 7 to node 15 with capacity 15,\nan edge from node 7 to node 2 with capacity 2,\nan edge from node 7 to node 9 with capacity 16,\nan edge from node 7 to node 1 with capacity 4,\nan edge from node 8 to node 10 with capacity 3,\nan edge from node 8 to node 14 with capacity 9,\nan edge from node 8 to node 15 with capacity 4,\nan edge from node 9 to node 3 with capacity 6,\nan edge from node 9 to node 8 with capacity 11,\nan edge from node 9 to node 6 with capacity 16,\nan edge from node 9 to node 5 with capacity 12,\nan edge from node 10 to node 13 with capacity 10,\nan edge from node 10 to node 3 with capacity 11,\nan edge from node 10 to node 15 with capacity 17,\nan edge from node 10 to node 9 with capacity 19,\nan edge from node 10 to node 1 with capacity 18,\nan edge from node 10 to node 4 with capacity 13,\nan edge from node 11 to node 12 with capacity 7,\nan edge from node 11 to node 10 with capacity 11,\nan edge from node 11 to node 6 with capacity 8,\nan edge from node 11 to node 1 with capacity 16,\nan edge from node 11 to node 4 with capacity 14,\nan edge from node 12 to node 13 with capacity 9,\nan edge from node 12 to node 0 with capacity 15,\nan edge from node 12 to node 8 with capacity 10,\nan edge from node 12 to node 14 with capacity 10,\nan edge from node 12 to node 15 with capacity 6,\nan edge from node 12 to node 7 with capacity 1,\nan edge from node 12 to node 4 with capacity 5,\nan edge from node 13 to node 6 with capacity 14,\nan edge from node 13 to node 14 with capacity 8,\nan edge from node 14 to node 0 with capacity 10,\nan edge from node 14 to node 3 with capacity 8,\nan edge from node 14 to node 8 with capacity 20,\nan edge from node 14 to node 15 with capacity 20,\nan edge from node 14 to node 2 with capacity 13,\nan edge from node 14 to node 9 with capacity 18,\nan edge from node 14 to node 4 with capacity 5,\nan edge from node 15 to node 13 with capacity 17,\nan edge from node 15 to node 3 with capacity 17,\nan edge from node 15 to node 12 with capacity 13,\nan edge from node 15 to node 9 with capacity 9,\nWhat is the maximum flow from node 6 to node 5:"
            },
            {
                "from": "gpt",
                "value": "14."
            }
        ]
    },
    {
        "id": "flow-hard-graph635",
        "image": "data/flow/graph_visual/hard/graph635.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 14 with capacity 14,\nan edge from node 0 to node 9 with capacity 17,\nan edge from node 0 to node 3 with capacity 15,\nan edge from node 0 to node 2 with capacity 11,\nan edge from node 0 to node 4 with capacity 15,\nan edge from node 0 to node 12 with capacity 9,\nan edge from node 1 to node 0 with capacity 1,\nan edge from node 1 to node 7 with capacity 13,\nan edge from node 1 to node 15 with capacity 16,\nan edge from node 1 to node 3 with capacity 15,\nan edge from node 2 to node 8 with capacity 18,\nan edge from node 2 to node 3 with capacity 1,\nan edge from node 3 to node 13 with capacity 10,\nan edge from node 3 to node 1 with capacity 11,\nan edge from node 4 to node 13 with capacity 1,\nan edge from node 4 to node 6 with capacity 19,\nan edge from node 4 to node 3 with capacity 14,\nan edge from node 6 to node 10 with capacity 13,\nan edge from node 6 to node 13 with capacity 15,\nan edge from node 6 to node 15 with capacity 10,\nan edge from node 6 to node 2 with capacity 6,\nan edge from node 6 to node 4 with capacity 10,\nan edge from node 7 to node 11 with capacity 14,\nan edge from node 7 to node 8 with capacity 9,\nan edge from node 7 to node 13 with capacity 13,\nan edge from node 7 to node 9 with capacity 15,\nan edge from node 7 to node 3 with capacity 11,\nan edge from node 7 to node 5 with capacity 14,\nan edge from node 8 to node 9 with capacity 15,\nan edge from node 8 to node 12 with capacity 6,\nan edge from node 9 to node 2 with capacity 17,\nan edge from node 9 to node 5 with capacity 17,\nan edge from node 10 to node 0 with capacity 19,\nan edge from node 10 to node 8 with capacity 8,\nan edge from node 10 to node 6 with capacity 17,\nan edge from node 10 to node 2 with capacity 1,\nan edge from node 11 to node 7 with capacity 18,\nan edge from node 11 to node 10 with capacity 11,\nan edge from node 11 to node 14 with capacity 11,\nan edge from node 11 to node 6 with capacity 4,\nan edge from node 11 to node 5 with capacity 8,\nan edge from node 12 to node 13 with capacity 10,\nan edge from node 12 to node 15 with capacity 14,\nan edge from node 12 to node 5 with capacity 20,\nan edge from node 13 to node 14 with capacity 19,\nan edge from node 13 to node 3 with capacity 18,\nan edge from node 13 to node 2 with capacity 20,\nan edge from node 13 to node 5 with capacity 16,\nan edge from node 14 to node 7 with capacity 20,\nan edge from node 14 to node 1 with capacity 18,\nan edge from node 14 to node 15 with capacity 7,\nan edge from node 14 to node 9 with capacity 19,\nan edge from node 14 to node 3 with capacity 16,\nan edge from node 14 to node 12 with capacity 12,\nan edge from node 15 to node 8 with capacity 12,\nan edge from node 15 to node 9 with capacity 9,\nan edge from node 15 to node 2 with capacity 15,\nan edge from node 15 to node 4 with capacity 15,\nWhat is the maximum flow from node 0 to node 13:"
            },
            {
                "from": "gpt",
                "value": "49."
            }
        ]
    },
    {
        "id": "flow-hard-graph7",
        "image": "data/flow/graph_visual/hard/graph7.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 2 with capacity 20,\nan edge from node 0 to node 5 with capacity 7,\nan edge from node 0 to node 7 with capacity 4,\nan edge from node 0 to node 3 with capacity 19,\nan edge from node 0 to node 4 with capacity 16,\nan edge from node 1 to node 2 with capacity 7,\nan edge from node 1 to node 3 with capacity 12,\nan edge from node 1 to node 0 with capacity 13,\nan edge from node 1 to node 4 with capacity 2,\nan edge from node 1 to node 9 with capacity 20,\nan edge from node 2 to node 1 with capacity 6,\nan edge from node 2 to node 9 with capacity 1,\nan edge from node 3 to node 10 with capacity 16,\nan edge from node 3 to node 0 with capacity 8,\nan edge from node 3 to node 9 with capacity 14,\nan edge from node 4 to node 2 with capacity 15,\nan edge from node 4 to node 6 with capacity 9,\nan edge from node 4 to node 7 with capacity 1,\nan edge from node 4 to node 8 with capacity 10,\nan edge from node 4 to node 0 with capacity 9,\nan edge from node 4 to node 1 with capacity 19,\nan edge from node 5 to node 8 with capacity 1,\nan edge from node 5 to node 1 with capacity 10,\nan edge from node 7 to node 1 with capacity 3,\nan edge from node 8 to node 6 with capacity 7,\nan edge from node 8 to node 3 with capacity 12,\nan edge from node 8 to node 1 with capacity 11,\nan edge from node 8 to node 4 with capacity 5,\nan edge from node 10 to node 6 with capacity 19,\nan edge from node 10 to node 8 with capacity 2,\nWhat is the maximum flow from node 4 to node 9:"
            },
            {
                "from": "gpt",
                "value": "35."
            }
        ]
    },
    {
        "id": "flow-hard-graph418",
        "image": "data/flow/graph_visual/hard/graph418.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 7 with capacity 20,\nan edge from node 0 to node 3 with capacity 9,\nan edge from node 0 to node 2 with capacity 4,\nan edge from node 1 to node 9 with capacity 18,\nan edge from node 1 to node 6 with capacity 9,\nan edge from node 2 to node 7 with capacity 20,\nan edge from node 2 to node 9 with capacity 1,\nan edge from node 2 to node 1 with capacity 4,\nan edge from node 2 to node 3 with capacity 10,\nan edge from node 2 to node 5 with capacity 7,\nan edge from node 3 to node 9 with capacity 5,\nan edge from node 3 to node 8 with capacity 16,\nan edge from node 3 to node 10 with capacity 7,\nan edge from node 3 to node 12 with capacity 4,\nan edge from node 3 to node 13 with capacity 9,\nan edge from node 3 to node 0 with capacity 11,\nan edge from node 3 to node 6 with capacity 6,\nan edge from node 4 to node 10 with capacity 2,\nan edge from node 4 to node 1 with capacity 18,\nan edge from node 4 to node 3 with capacity 1,\nan edge from node 4 to node 5 with capacity 10,\nan edge from node 4 to node 2 with capacity 1,\nan edge from node 5 to node 7 with capacity 13,\nan edge from node 6 to node 1 with capacity 3,\nan edge from node 6 to node 4 with capacity 2,\nan edge from node 6 to node 2 with capacity 5,\nan edge from node 7 to node 12 with capacity 8,\nan edge from node 7 to node 13 with capacity 11,\nan edge from node 7 to node 0 with capacity 19,\nan edge from node 9 to node 8 with capacity 18,\nan edge from node 9 to node 12 with capacity 18,\nan edge from node 9 to node 5 with capacity 4,\nan edge from node 10 to node 12 with capacity 15,\nan edge from node 10 to node 4 with capacity 5,\nan edge from node 10 to node 5 with capacity 20,\nan edge from node 10 to node 6 with capacity 20,\nan edge from node 11 to node 1 with capacity 8,\nan edge from node 11 to node 13 with capacity 3,\nan edge from node 11 to node 5 with capacity 19,\nan edge from node 11 to node 2 with capacity 14,\nan edge from node 12 to node 8 with capacity 3,\nan edge from node 12 to node 2 with capacity 5,\nan edge from node 13 to node 0 with capacity 7,\nan edge from node 13 to node 11 with capacity 15,\nWhat is the maximum flow from node 2 to node 4:"
            },
            {
                "from": "gpt",
                "value": "7."
            }
        ]
    },
    {
        "id": "flow-hard-graph806",
        "image": "data/flow/graph_visual/hard/graph806.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 12 with capacity 16,\nan edge from node 0 to node 7 with capacity 8,\nan edge from node 0 to node 15 with capacity 14,\nan edge from node 1 to node 2 with capacity 7,\nan edge from node 1 to node 9 with capacity 2,\nan edge from node 1 to node 8 with capacity 11,\nan edge from node 1 to node 12 with capacity 18,\nan edge from node 1 to node 0 with capacity 7,\nan edge from node 1 to node 13 with capacity 16,\nan edge from node 1 to node 15 with capacity 7,\nan edge from node 2 to node 9 with capacity 10,\nan edge from node 2 to node 3 with capacity 8,\nan edge from node 2 to node 6 with capacity 17,\nan edge from node 2 to node 8 with capacity 9,\nan edge from node 2 to node 12 with capacity 1,\nan edge from node 2 to node 14 with capacity 10,\nan edge from node 2 to node 16 with capacity 4,\nan edge from node 2 to node 13 with capacity 3,\nan edge from node 3 to node 12 with capacity 17,\nan edge from node 3 to node 10 with capacity 14,\nan edge from node 3 to node 14 with capacity 11,\nan edge from node 3 to node 0 with capacity 6,\nan edge from node 3 to node 4 with capacity 20,\nan edge from node 3 to node 15 with capacity 12,\nan edge from node 4 to node 10 with capacity 9,\nan edge from node 4 to node 14 with capacity 11,\nan edge from node 5 to node 12 with capacity 15,\nan edge from node 5 to node 10 with capacity 13,\nan edge from node 5 to node 14 with capacity 4,\nan edge from node 5 to node 0 with capacity 16,\nan edge from node 5 to node 1 with capacity 19,\nan edge from node 6 to node 8 with capacity 2,\nan edge from node 6 to node 14 with capacity 7,\nan edge from node 6 to node 0 with capacity 20,\nan edge from node 6 to node 16 with capacity 17,\nan edge from node 7 to node 14 with capacity 17,\nan edge from node 8 to node 3 with capacity 14,\nan edge from node 8 to node 4 with capacity 2,\nan edge from node 9 to node 2 with capacity 7,\nan edge from node 9 to node 6 with capacity 16,\nan edge from node 9 to node 11 with capacity 18,\nan edge from node 9 to node 10 with capacity 9,\nan edge from node 9 to node 14 with capacity 13,\nan edge from node 9 to node 0 with capacity 1,\nan edge from node 9 to node 15 with capacity 8,\nan edge from node 10 to node 14 with capacity 11,\nan edge from node 10 to node 1 with capacity 8,\nan edge from node 11 to node 9 with capacity 14,\nan edge from node 11 to node 13 with capacity 18,\nan edge from node 11 to node 5 with capacity 20,\nan edge from node 11 to node 15 with capacity 12,\nan edge from node 12 to node 9 with capacity 1,\nan edge from node 12 to node 10 with capacity 10,\nan edge from node 12 to node 14 with capacity 19,\nan edge from node 12 to node 13 with capacity 4,\nan edge from node 13 to node 8 with capacity 3,\nan edge from node 13 to node 10 with capacity 20,\nan edge from node 13 to node 7 with capacity 6,\nan edge from node 13 to node 0 with capacity 15,\nan edge from node 13 to node 1 with capacity 15,\nan edge from node 14 to node 12 with capacity 4,\nan edge from node 14 to node 10 with capacity 5,\nan edge from node 15 to node 2 with capacity 1,\nan edge from node 15 to node 9 with capacity 10,\nan edge from node 15 to node 8 with capacity 18,\nan edge from node 15 to node 4 with capacity 5,\nan edge from node 16 to node 8 with capacity 18,\nan edge from node 16 to node 14 with capacity 18,\nan edge from node 16 to node 13 with capacity 1,\nWhat is the maximum flow from node 7 to node 2:"
            },
            {
                "from": "gpt",
                "value": "9."
            }
        ]
    },
    {
        "id": "flow-hard-graph629",
        "image": "data/flow/graph_visual/hard/graph629.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 5 with capacity 5,\nan edge from node 0 to node 3 with capacity 12,\nan edge from node 0 to node 13 with capacity 8,\nan edge from node 1 to node 10 with capacity 13,\nan edge from node 1 to node 15 with capacity 18,\nan edge from node 1 to node 2 with capacity 10,\nan edge from node 1 to node 13 with capacity 4,\nan edge from node 1 to node 0 with capacity 5,\nan edge from node 1 to node 14 with capacity 19,\nan edge from node 2 to node 10 with capacity 2,\nan edge from node 2 to node 12 with capacity 2,\nan edge from node 2 to node 3 with capacity 16,\nan edge from node 2 to node 1 with capacity 7,\nan edge from node 2 to node 13 with capacity 12,\nan edge from node 2 to node 8 with capacity 13,\nan edge from node 2 to node 14 with capacity 9,\nan edge from node 3 to node 10 with capacity 8,\nan edge from node 3 to node 15 with capacity 14,\nan edge from node 3 to node 6 with capacity 16,\nan edge from node 3 to node 5 with capacity 14,\nan edge from node 3 to node 2 with capacity 11,\nan edge from node 3 to node 13 with capacity 20,\nan edge from node 3 to node 11 with capacity 1,\nan edge from node 3 to node 4 with capacity 17,\nan edge from node 3 to node 8 with capacity 1,\nan edge from node 4 to node 10 with capacity 14,\nan edge from node 4 to node 6 with capacity 20,\nan edge from node 4 to node 12 with capacity 20,\nan edge from node 4 to node 3 with capacity 17,\nan edge from node 5 to node 10 with capacity 17,\nan edge from node 5 to node 15 with capacity 14,\nan edge from node 5 to node 1 with capacity 5,\nan edge from node 5 to node 0 with capacity 13,\nan edge from node 6 to node 5 with capacity 12,\nan edge from node 6 to node 4 with capacity 1,\nan edge from node 7 to node 12 with capacity 5,\nan edge from node 7 to node 13 with capacity 7,\nan edge from node 8 to node 6 with capacity 1,\nan edge from node 8 to node 12 with capacity 18,\nan edge from node 8 to node 1 with capacity 7,\nan edge from node 8 to node 11 with capacity 19,\nan edge from node 8 to node 14 with capacity 13,\nan edge from node 8 to node 9 with capacity 17,\nan edge from node 9 to node 15 with capacity 12,\nan edge from node 9 to node 3 with capacity 1,\nan edge from node 10 to node 7 with capacity 6,\nan edge from node 10 to node 12 with capacity 13,\nan edge from node 10 to node 1 with capacity 19,\nan edge from node 10 to node 0 with capacity 8,\nan edge from node 11 to node 7 with capacity 6,\nan edge from node 11 to node 3 with capacity 19,\nan edge from node 11 to node 1 with capacity 1,\nan edge from node 11 to node 8 with capacity 20,\nan edge from node 12 to node 15 with capacity 13,\nan edge from node 12 to node 5 with capacity 14,\nan edge from node 12 to node 11 with capacity 4,\nan edge from node 13 to node 7 with capacity 2,\nan edge from node 13 to node 5 with capacity 1,\nan edge from node 13 to node 1 with capacity 10,\nan edge from node 13 to node 11 with capacity 15,\nan edge from node 13 to node 4 with capacity 20,\nan edge from node 14 to node 15 with capacity 10,\nan edge from node 14 to node 5 with capacity 20,\nan edge from node 15 to node 7 with capacity 20,\nan edge from node 15 to node 1 with capacity 7,\nan edge from node 15 to node 9 with capacity 6,\nWhat is the maximum flow from node 13 to node 5:"
            },
            {
                "from": "gpt",
                "value": "48."
            }
        ]
    },
    {
        "id": "flow-hard-graph962",
        "image": "data/flow/graph_visual/hard/graph962.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 13 with capacity 6,\nan edge from node 0 to node 3 with capacity 9,\nan edge from node 1 to node 4 with capacity 5,\nan edge from node 1 to node 14 with capacity 17,\nan edge from node 1 to node 17 with capacity 1,\nan edge from node 1 to node 3 with capacity 9,\nan edge from node 2 to node 4 with capacity 20,\nan edge from node 2 to node 15 with capacity 14,\nan edge from node 2 to node 13 with capacity 13,\nan edge from node 2 to node 12 with capacity 18,\nan edge from node 2 to node 17 with capacity 3,\nan edge from node 2 to node 18 with capacity 16,\nan edge from node 3 to node 8 with capacity 8,\nan edge from node 3 to node 9 with capacity 7,\nan edge from node 3 to node 18 with capacity 1,\nan edge from node 3 to node 11 with capacity 5,\nan edge from node 3 to node 16 with capacity 12,\nan edge from node 4 to node 1 with capacity 10,\nan edge from node 4 to node 14 with capacity 19,\nan edge from node 4 to node 8 with capacity 16,\nan edge from node 4 to node 9 with capacity 14,\nan edge from node 4 to node 18 with capacity 20,\nan edge from node 4 to node 10 with capacity 5,\nan edge from node 5 to node 13 with capacity 12,\nan edge from node 5 to node 6 with capacity 9,\nan edge from node 5 to node 14 with capacity 15,\nan edge from node 5 to node 12 with capacity 9,\nan edge from node 5 to node 17 with capacity 12,\nan edge from node 5 to node 8 with capacity 1,\nan edge from node 5 to node 11 with capacity 17,\nan edge from node 5 to node 10 with capacity 3,\nan edge from node 5 to node 0 with capacity 6,\nan edge from node 6 to node 1 with capacity 9,\nan edge from node 6 to node 13 with capacity 5,\nan edge from node 6 to node 8 with capacity 20,\nan edge from node 6 to node 9 with capacity 3,\nan edge from node 7 to node 15 with capacity 15,\nan edge from node 7 to node 13 with capacity 11,\nan edge from node 7 to node 9 with capacity 9,\nan edge from node 7 to node 18 with capacity 10,\nan edge from node 7 to node 0 with capacity 6,\nan edge from node 8 to node 12 with capacity 20,\nan edge from node 8 to node 5 with capacity 16,\nan edge from node 9 to node 4 with capacity 17,\nan edge from node 9 to node 6 with capacity 7,\nan edge from node 9 to node 8 with capacity 10,\nan edge from node 9 to node 10 with capacity 20,\nan edge from node 10 to node 15 with capacity 7,\nan edge from node 10 to node 14 with capacity 16,\nan edge from node 10 to node 12 with capacity 16,\nan edge from node 10 to node 8 with capacity 5,\nan edge from node 10 to node 0 with capacity 19,\nan edge from node 11 to node 15 with capacity 1,\nan edge from node 11 to node 6 with capacity 14,\nan edge from node 11 to node 7 with capacity 17,\nan edge from node 11 to node 8 with capacity 11,\nan edge from node 11 to node 16 with capacity 5,\nan edge from node 11 to node 0 with capacity 12,\nan edge from node 12 to node 2 with capacity 20,\nan edge from node 12 to node 6 with capacity 5,\nan edge from node 12 to node 7 with capacity 13,\nan edge from node 12 to node 3 with capacity 18,\nan edge from node 12 to node 10 with capacity 10,\nan edge from node 13 to node 1 with capacity 8,\nan edge from node 13 to node 14 with capacity 6,\nan edge from node 13 to node 5 with capacity 19,\nan edge from node 14 to node 12 with capacity 7,\nan edge from node 14 to node 7 with capacity 17,\nan edge from node 14 to node 8 with capacity 1,\nan edge from node 14 to node 9 with capacity 12,\nan edge from node 14 to node 3 with capacity 3,\nan edge from node 14 to node 10 with capacity 19,\nan edge from node 15 to node 1 with capacity 4,\nan edge from node 15 to node 14 with capacity 20,\nan edge from node 15 to node 17 with capacity 7,\nan edge from node 15 to node 7 with capacity 16,\nan edge from node 15 to node 18 with capacity 7,\nan edge from node 16 to node 13 with capacity 10,\nan edge from node 16 to node 17 with capacity 1,\nan edge from node 16 to node 8 with capacity 7,\nan edge from node 16 to node 0 with capacity 3,\nan edge from node 17 to node 13 with capacity 18,\nan edge from node 17 to node 7 with capacity 4,\nan edge from node 17 to node 9 with capacity 10,\nan edge from node 17 to node 16 with capacity 3,\nan edge from node 17 to node 0 with capacity 3,\nan edge from node 18 to node 1 with capacity 4,\nan edge from node 18 to node 12 with capacity 15,\nan edge from node 18 to node 11 with capacity 15,\nan edge from node 18 to node 0 with capacity 2,\nWhat is the maximum flow from node 13 to node 7:"
            },
            {
                "from": "gpt",
                "value": "33."
            }
        ]
    },
    {
        "id": "flow-hard-graph858",
        "image": "data/flow/graph_visual/hard/graph858.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 14 with capacity 9,\nan edge from node 0 to node 13 with capacity 12,\nan edge from node 0 to node 2 with capacity 5,\nan edge from node 0 to node 1 with capacity 12,\nan edge from node 0 to node 5 with capacity 7,\nan edge from node 1 to node 14 with capacity 5,\nan edge from node 1 to node 3 with capacity 8,\nan edge from node 2 to node 4 with capacity 19,\nan edge from node 3 to node 8 with capacity 11,\nan edge from node 3 to node 0 with capacity 3,\nan edge from node 3 to node 11 with capacity 5,\nan edge from node 3 to node 1 with capacity 7,\nan edge from node 3 to node 12 with capacity 8,\nan edge from node 4 to node 14 with capacity 12,\nan edge from node 4 to node 3 with capacity 16,\nan edge from node 4 to node 10 with capacity 11,\nan edge from node 4 to node 11 with capacity 18,\nan edge from node 4 to node 7 with capacity 10,\nan edge from node 4 to node 6 with capacity 11,\nan edge from node 5 to node 13 with capacity 16,\nan edge from node 5 to node 0 with capacity 8,\nan edge from node 5 to node 15 with capacity 18,\nan edge from node 5 to node 11 with capacity 5,\nan edge from node 6 to node 5 with capacity 8,\nan edge from node 6 to node 12 with capacity 13,\nan edge from node 7 to node 14 with capacity 12,\nan edge from node 7 to node 0 with capacity 1,\nan edge from node 7 to node 3 with capacity 10,\nan edge from node 7 to node 9 with capacity 17,\nan edge from node 7 to node 17 with capacity 16,\nan edge from node 7 to node 1 with capacity 18,\nan edge from node 7 to node 4 with capacity 3,\nan edge from node 7 to node 12 with capacity 13,\nan edge from node 8 to node 3 with capacity 6,\nan edge from node 8 to node 4 with capacity 9,\nan edge from node 9 to node 13 with capacity 12,\nan edge from node 9 to node 0 with capacity 13,\nan edge from node 9 to node 2 with capacity 2,\nan edge from node 9 to node 12 with capacity 6,\nan edge from node 10 to node 16 with capacity 20,\nan edge from node 10 to node 0 with capacity 18,\nan edge from node 10 to node 3 with capacity 4,\nan edge from node 10 to node 2 with capacity 7,\nan edge from node 10 to node 9 with capacity 13,\nan edge from node 10 to node 6 with capacity 9,\nan edge from node 11 to node 14 with capacity 14,\nan edge from node 11 to node 0 with capacity 7,\nan edge from node 11 to node 9 with capacity 5,\nan edge from node 11 to node 17 with capacity 18,\nan edge from node 12 to node 13 with capacity 7,\nan edge from node 12 to node 0 with capacity 17,\nan edge from node 12 to node 17 with capacity 3,\nan edge from node 12 to node 1 with capacity 10,\nan edge from node 12 to node 6 with capacity 18,\nan edge from node 13 to node 0 with capacity 6,\nan edge from node 13 to node 9 with capacity 2,\nan edge from node 13 to node 1 with capacity 20,\nan edge from node 14 to node 0 with capacity 3,\nan edge from node 14 to node 3 with capacity 20,\nan edge from node 14 to node 10 with capacity 18,\nan edge from node 14 to node 11 with capacity 13,\nan edge from node 15 to node 8 with capacity 14,\nan edge from node 15 to node 0 with capacity 8,\nan edge from node 15 to node 2 with capacity 2,\nan edge from node 15 to node 11 with capacity 15,\nan edge from node 15 to node 1 with capacity 1,\nan edge from node 15 to node 6 with capacity 6,\nan edge from node 15 to node 4 with capacity 14,\nan edge from node 16 to node 14 with capacity 1,\nan edge from node 16 to node 0 with capacity 2,\nan edge from node 16 to node 15 with capacity 16,\nan edge from node 16 to node 2 with capacity 1,\nan edge from node 16 to node 9 with capacity 11,\nan edge from node 16 to node 11 with capacity 1,\nan edge from node 16 to node 5 with capacity 15,\nan edge from node 17 to node 14 with capacity 11,\nan edge from node 17 to node 8 with capacity 14,\nan edge from node 17 to node 12 with capacity 6,\nWhat is the maximum flow from node 16 to node 1:"
            },
            {
                "from": "gpt",
                "value": "47."
            }
        ]
    },
    {
        "id": "flow-hard-graph46",
        "image": "data/flow/graph_visual/hard/graph46.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 6 with capacity 18,\nan edge from node 0 to node 7 with capacity 17,\nan edge from node 1 to node 8 with capacity 11,\nan edge from node 1 to node 10 with capacity 9,\nan edge from node 1 to node 5 with capacity 7,\nan edge from node 1 to node 0 with capacity 1,\nan edge from node 1 to node 7 with capacity 11,\nan edge from node 2 to node 10 with capacity 14,\nan edge from node 2 to node 7 with capacity 20,\nan edge from node 3 to node 8 with capacity 18,\nan edge from node 3 to node 10 with capacity 14,\nan edge from node 3 to node 4 with capacity 13,\nan edge from node 3 to node 9 with capacity 8,\nan edge from node 4 to node 10 with capacity 11,\nan edge from node 4 to node 5 with capacity 12,\nan edge from node 4 to node 0 with capacity 2,\nan edge from node 5 to node 10 with capacity 11,\nan edge from node 6 to node 2 with capacity 7,\nan edge from node 7 to node 8 with capacity 12,\nan edge from node 7 to node 2 with capacity 17,\nan edge from node 7 to node 6 with capacity 2,\nan edge from node 7 to node 1 with capacity 17,\nan edge from node 8 to node 3 with capacity 15,\nan edge from node 8 to node 5 with capacity 5,\nan edge from node 8 to node 2 with capacity 1,\nan edge from node 8 to node 7 with capacity 19,\nan edge from node 9 to node 4 with capacity 15,\nan edge from node 9 to node 5 with capacity 12,\nan edge from node 9 to node 7 with capacity 7,\nan edge from node 10 to node 4 with capacity 4,\nan edge from node 10 to node 2 with capacity 20,\nan edge from node 10 to node 7 with capacity 6,\nWhat is the maximum flow from node 6 to node 1:"
            },
            {
                "from": "gpt",
                "value": "7."
            }
        ]
    },
    {
        "id": "flow-hard-graph91",
        "image": "data/flow/graph_visual/hard/graph91.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 6 with capacity 19,\nan edge from node 0 to node 3 with capacity 9,\nan edge from node 0 to node 10 with capacity 9,\nan edge from node 0 to node 4 with capacity 8,\nan edge from node 0 to node 9 with capacity 20,\nan edge from node 1 to node 8 with capacity 5,\nan edge from node 2 to node 4 with capacity 9,\nan edge from node 2 to node 1 with capacity 5,\nan edge from node 2 to node 9 with capacity 19,\nan edge from node 2 to node 0 with capacity 20,\nan edge from node 3 to node 6 with capacity 7,\nan edge from node 3 to node 2 with capacity 9,\nan edge from node 3 to node 0 with capacity 14,\nan edge from node 4 to node 8 with capacity 14,\nan edge from node 4 to node 2 with capacity 13,\nan edge from node 4 to node 5 with capacity 9,\nan edge from node 4 to node 0 with capacity 9,\nan edge from node 5 to node 8 with capacity 10,\nan edge from node 5 to node 4 with capacity 11,\nan edge from node 6 to node 3 with capacity 13,\nan edge from node 7 to node 3 with capacity 6,\nan edge from node 7 to node 8 with capacity 6,\nan edge from node 7 to node 9 with capacity 4,\nan edge from node 8 to node 3 with capacity 4,\nan edge from node 8 to node 4 with capacity 6,\nan edge from node 8 to node 1 with capacity 11,\nan edge from node 8 to node 5 with capacity 2,\nan edge from node 10 to node 1 with capacity 13,\nan edge from node 10 to node 0 with capacity 10,\nWhat is the maximum flow from node 5 to node 2:"
            },
            {
                "from": "gpt",
                "value": "21."
            }
        ]
    },
    {
        "id": "flow-hard-graph907",
        "image": "data/flow/graph_visual/hard/graph907.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 5 with capacity 19,\nan edge from node 0 to node 9 with capacity 1,\nan edge from node 0 to node 6 with capacity 15,\nan edge from node 0 to node 7 with capacity 5,\nan edge from node 1 to node 8 with capacity 9,\nan edge from node 1 to node 14 with capacity 4,\nan edge from node 1 to node 5 with capacity 11,\nan edge from node 1 to node 4 with capacity 12,\nan edge from node 1 to node 6 with capacity 20,\nan edge from node 2 to node 17 with capacity 10,\nan edge from node 2 to node 0 with capacity 12,\nan edge from node 2 to node 12 with capacity 7,\nan edge from node 2 to node 6 with capacity 7,\nan edge from node 3 to node 16 with capacity 3,\nan edge from node 3 to node 10 with capacity 16,\nan edge from node 3 to node 2 with capacity 2,\nan edge from node 3 to node 6 with capacity 12,\nan edge from node 4 to node 14 with capacity 8,\nan edge from node 4 to node 5 with capacity 20,\nan edge from node 4 to node 2 with capacity 12,\nan edge from node 4 to node 15 with capacity 19,\nan edge from node 4 to node 12 with capacity 4,\nan edge from node 4 to node 7 with capacity 4,\nan edge from node 5 to node 8 with capacity 9,\nan edge from node 5 to node 1 with capacity 10,\nan edge from node 5 to node 14 with capacity 9,\nan edge from node 5 to node 16 with capacity 10,\nan edge from node 5 to node 10 with capacity 13,\nan edge from node 6 to node 14 with capacity 4,\nan edge from node 6 to node 16 with capacity 14,\nan edge from node 6 to node 17 with capacity 4,\nan edge from node 6 to node 7 with capacity 2,\nan edge from node 7 to node 16 with capacity 11,\nan edge from node 7 to node 11 with capacity 6,\nan edge from node 8 to node 3 with capacity 19,\nan edge from node 8 to node 13 with capacity 20,\nan edge from node 8 to node 11 with capacity 9,\nan edge from node 9 to node 1 with capacity 12,\nan edge from node 9 to node 13 with capacity 3,\nan edge from node 9 to node 2 with capacity 17,\nan edge from node 10 to node 15 with capacity 2,\nan edge from node 10 to node 4 with capacity 3,\nan edge from node 11 to node 14 with capacity 7,\nan edge from node 11 to node 16 with capacity 6,\nan edge from node 11 to node 9 with capacity 9,\nan edge from node 11 to node 2 with capacity 6,\nan edge from node 11 to node 15 with capacity 14,\nan edge from node 11 to node 12 with capacity 9,\nan edge from node 12 to node 8 with capacity 14,\nan edge from node 12 to node 14 with capacity 16,\nan edge from node 12 to node 16 with capacity 20,\nan edge from node 12 to node 0 with capacity 14,\nan edge from node 12 to node 4 with capacity 17,\nan edge from node 12 to node 7 with capacity 11,\nan edge from node 13 to node 5 with capacity 12,\nan edge from node 13 to node 9 with capacity 19,\nan edge from node 13 to node 2 with capacity 15,\nan edge from node 13 to node 12 with capacity 16,\nan edge from node 14 to node 8 with capacity 2,\nan edge from node 14 to node 10 with capacity 7,\nan edge from node 14 to node 9 with capacity 2,\nan edge from node 14 to node 2 with capacity 13,\nan edge from node 14 to node 0 with capacity 7,\nan edge from node 14 to node 15 with capacity 2,\nan edge from node 14 to node 12 with capacity 1,\nan edge from node 14 to node 6 with capacity 10,\nan edge from node 15 to node 16 with capacity 13,\nan edge from node 15 to node 5 with capacity 1,\nan edge from node 16 to node 1 with capacity 4,\nan edge from node 16 to node 2 with capacity 14,\nan edge from node 16 to node 0 with capacity 10,\nan edge from node 17 to node 16 with capacity 6,\nan edge from node 17 to node 2 with capacity 6,\nan edge from node 17 to node 15 with capacity 18,\nan edge from node 17 to node 4 with capacity 13,\nWhat is the maximum flow from node 4 to node 14:"
            },
            {
                "from": "gpt",
                "value": "48."
            }
        ]
    },
    {
        "id": "flow-hard-graph387",
        "image": "data/flow/graph_visual/hard/graph387.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 11 with capacity 8,\nan edge from node 0 to node 13 with capacity 3,\nan edge from node 1 to node 2 with capacity 11,\nan edge from node 1 to node 11 with capacity 1,\nan edge from node 1 to node 5 with capacity 9,\nan edge from node 1 to node 9 with capacity 5,\nan edge from node 1 to node 3 with capacity 17,\nan edge from node 2 to node 11 with capacity 16,\nan edge from node 2 to node 7 with capacity 4,\nan edge from node 2 to node 5 with capacity 16,\nan edge from node 2 to node 1 with capacity 15,\nan edge from node 3 to node 2 with capacity 3,\nan edge from node 3 to node 9 with capacity 6,\nan edge from node 3 to node 1 with capacity 4,\nan edge from node 4 to node 11 with capacity 9,\nan edge from node 4 to node 3 with capacity 11,\nan edge from node 5 to node 10 with capacity 18,\nan edge from node 5 to node 4 with capacity 19,\nan edge from node 5 to node 11 with capacity 16,\nan edge from node 5 to node 12 with capacity 14,\nan edge from node 6 to node 8 with capacity 8,\nan edge from node 6 to node 10 with capacity 19,\nan edge from node 6 to node 11 with capacity 17,\nan edge from node 6 to node 7 with capacity 19,\nan edge from node 6 to node 0 with capacity 18,\nan edge from node 7 to node 13 with capacity 20,\nan edge from node 8 to node 2 with capacity 8,\nan edge from node 8 to node 4 with capacity 4,\nan edge from node 8 to node 1 with capacity 8,\nan edge from node 8 to node 12 with capacity 4,\nan edge from node 9 to node 10 with capacity 8,\nan edge from node 9 to node 4 with capacity 9,\nan edge from node 9 to node 5 with capacity 3,\nan edge from node 9 to node 1 with capacity 18,\nan edge from node 9 to node 6 with capacity 14,\nan edge from node 10 to node 4 with capacity 11,\nan edge from node 11 to node 5 with capacity 17,\nan edge from node 12 to node 2 with capacity 3,\nan edge from node 12 to node 7 with capacity 4,\nan edge from node 12 to node 0 with capacity 2,\nan edge from node 12 to node 9 with capacity 11,\nan edge from node 13 to node 10 with capacity 10,\nan edge from node 13 to node 0 with capacity 11,\nan edge from node 13 to node 5 with capacity 6,\nWhat is the maximum flow from node 10 to node 1:"
            },
            {
                "from": "gpt",
                "value": "11."
            }
        ]
    },
    {
        "id": "flow-hard-graph547",
        "image": "data/flow/graph_visual/hard/graph547.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 3 with capacity 3,\nan edge from node 0 to node 4 with capacity 9,\nan edge from node 0 to node 12 with capacity 7,\nan edge from node 0 to node 9 with capacity 5,\nan edge from node 0 to node 13 with capacity 13,\nan edge from node 0 to node 8 with capacity 10,\nan edge from node 0 to node 5 with capacity 16,\nan edge from node 1 to node 12 with capacity 7,\nan edge from node 1 to node 7 with capacity 18,\nan edge from node 1 to node 14 with capacity 2,\nan edge from node 1 to node 2 with capacity 19,\nan edge from node 1 to node 8 with capacity 11,\nan edge from node 1 to node 5 with capacity 4,\nan edge from node 2 to node 1 with capacity 20,\nan edge from node 3 to node 12 with capacity 9,\nan edge from node 3 to node 10 with capacity 1,\nan edge from node 4 to node 12 with capacity 9,\nan edge from node 4 to node 7 with capacity 15,\nan edge from node 4 to node 2 with capacity 8,\nan edge from node 5 to node 4 with capacity 10,\nan edge from node 5 to node 9 with capacity 13,\nan edge from node 5 to node 10 with capacity 11,\nan edge from node 5 to node 2 with capacity 5,\nan edge from node 6 to node 10 with capacity 3,\nan edge from node 6 to node 13 with capacity 5,\nan edge from node 6 to node 2 with capacity 15,\nan edge from node 7 to node 1 with capacity 11,\nan edge from node 7 to node 4 with capacity 6,\nan edge from node 7 to node 12 with capacity 14,\nan edge from node 7 to node 10 with capacity 16,\nan edge from node 7 to node 6 with capacity 6,\nan edge from node 7 to node 8 with capacity 17,\nan edge from node 8 to node 1 with capacity 13,\nan edge from node 8 to node 4 with capacity 16,\nan edge from node 8 to node 13 with capacity 3,\nan edge from node 9 to node 11 with capacity 13,\nan edge from node 10 to node 12 with capacity 16,\nan edge from node 10 to node 11 with capacity 18,\nan edge from node 10 to node 5 with capacity 14,\nan edge from node 11 to node 3 with capacity 13,\nan edge from node 11 to node 7 with capacity 16,\nan edge from node 11 to node 2 with capacity 4,\nan edge from node 12 to node 13 with capacity 13,\nan edge from node 12 to node 14 with capacity 20,\nan edge from node 12 to node 6 with capacity 16,\nan edge from node 13 to node 9 with capacity 1,\nan edge from node 13 to node 11 with capacity 17,\nan edge from node 13 to node 14 with capacity 20,\nan edge from node 13 to node 6 with capacity 12,\nan edge from node 13 to node 5 with capacity 17,\nan edge from node 14 to node 13 with capacity 13,\nan edge from node 14 to node 8 with capacity 1,\nan edge from node 14 to node 5 with capacity 4,\nWhat is the maximum flow from node 5 to node 6:"
            },
            {
                "from": "gpt",
                "value": "34."
            }
        ]
    },
    {
        "id": "flow-hard-graph1105",
        "image": "data/flow/graph_visual/hard/graph1105.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 3 with capacity 1,\nan edge from node 0 to node 7 with capacity 4,\nan edge from node 0 to node 17 with capacity 7,\nan edge from node 0 to node 18 with capacity 13,\nan edge from node 0 to node 4 with capacity 9,\nan edge from node 0 to node 1 with capacity 10,\nan edge from node 0 to node 11 with capacity 15,\nan edge from node 1 to node 3 with capacity 18,\nan edge from node 1 to node 18 with capacity 4,\nan edge from node 1 to node 4 with capacity 15,\nan edge from node 1 to node 19 with capacity 18,\nan edge from node 1 to node 9 with capacity 12,\nan edge from node 1 to node 5 with capacity 9,\nan edge from node 2 to node 15 with capacity 19,\nan edge from node 2 to node 17 with capacity 20,\nan edge from node 2 to node 19 with capacity 6,\nan edge from node 2 to node 9 with capacity 14,\nan edge from node 2 to node 12 with capacity 19,\nan edge from node 2 to node 8 with capacity 2,\nan edge from node 2 to node 14 with capacity 17,\nan edge from node 2 to node 11 with capacity 4,\nan edge from node 3 to node 10 with capacity 1,\nan edge from node 3 to node 18 with capacity 11,\nan edge from node 3 to node 8 with capacity 4,\nan edge from node 3 to node 16 with capacity 13,\nan edge from node 3 to node 11 with capacity 10,\nan edge from node 4 to node 7 with capacity 5,\nan edge from node 4 to node 18 with capacity 10,\nan edge from node 4 to node 1 with capacity 6,\nan edge from node 4 to node 14 with capacity 19,\nan edge from node 5 to node 3 with capacity 16,\nan edge from node 5 to node 6 with capacity 2,\nan edge from node 5 to node 13 with capacity 8,\nan edge from node 5 to node 2 with capacity 5,\nan edge from node 5 to node 12 with capacity 7,\nan edge from node 5 to node 14 with capacity 20,\nan edge from node 6 to node 3 with capacity 20,\nan edge from node 6 to node 0 with capacity 1,\nan edge from node 6 to node 18 with capacity 4,\nan edge from node 6 to node 14 with capacity 5,\nan edge from node 6 to node 11 with capacity 17,\nan edge from node 7 to node 12 with capacity 7,\nan edge from node 7 to node 16 with capacity 16,\nan edge from node 8 to node 0 with capacity 10,\nan edge from node 8 to node 18 with capacity 7,\nan edge from node 8 to node 4 with capacity 3,\nan edge from node 8 to node 5 with capacity 19,\nan edge from node 8 to node 12 with capacity 5,\nan edge from node 8 to node 1 with capacity 14,\nan edge from node 8 to node 16 with capacity 9,\nan edge from node 9 to node 10 with capacity 5,\nan edge from node 9 to node 17 with capacity 16,\nan edge from node 9 to node 2 with capacity 18,\nan edge from node 9 to node 5 with capacity 6,\nan edge from node 9 to node 8 with capacity 18,\nan edge from node 9 to node 14 with capacity 18,\nan edge from node 10 to node 13 with capacity 7,\nan edge from node 10 to node 17 with capacity 18,\nan edge from node 10 to node 1 with capacity 13,\nan edge from node 11 to node 15 with capacity 9,\nan edge from node 11 to node 19 with capacity 8,\nan edge from node 11 to node 2 with capacity 4,\nan edge from node 11 to node 5 with capacity 17,\nan edge from node 12 to node 0 with capacity 4,\nan edge from node 12 to node 15 with capacity 19,\nan edge from node 12 to node 17 with capacity 12,\nan edge from node 12 to node 18 with capacity 5,\nan edge from node 12 to node 8 with capacity 14,\nan edge from node 12 to node 1 with capacity 4,\nan edge from node 12 to node 16 with capacity 12,\nan edge from node 12 to node 11 with capacity 8,\nan edge from node 13 to node 10 with capacity 12,\nan edge from node 13 to node 6 with capacity 11,\nan edge from node 13 to node 7 with capacity 5,\nan edge from node 13 to node 18 with capacity 18,\nan edge from node 13 to node 8 with capacity 7,\nan edge from node 13 to node 1 with capacity 6,\nan edge from node 13 to node 14 with capacity 8,\nan edge from node 14 to node 6 with capacity 10,\nan edge from node 14 to node 13 with capacity 12,\nan edge from node 14 to node 12 with capacity 10,\nan edge from node 14 to node 16 with capacity 6,\nan edge from node 14 to node 11 with capacity 4,\nan edge from node 15 to node 0 with capacity 10,\nan edge from node 15 to node 6 with capacity 16,\nan edge from node 15 to node 17 with capacity 5,\nan edge from node 15 to node 4 with capacity 1,\nan edge from node 15 to node 16 with capacity 16,\nan edge from node 15 to node 14 with capacity 4,\nan edge from node 16 to node 3 with capacity 1,\nan edge from node 16 to node 10 with capacity 1,\nan edge from node 16 to node 0 with capacity 10,\nan edge from node 16 to node 6 with capacity 3,\nan edge from node 16 to node 13 with capacity 2,\nan edge from node 16 to node 18 with capacity 6,\nan edge from node 16 to node 4 with capacity 12,\nan edge from node 16 to node 9 with capacity 18,\nan edge from node 16 to node 8 with capacity 20,\nan edge from node 16 to node 1 with capacity 9,\nan edge from node 16 to node 14 with capacity 8,\nan edge from node 17 to node 13 with capacity 13,\nan edge from node 17 to node 1 with capacity 3,\nan edge from node 17 to node 16 with capacity 11,\nan edge from node 18 to node 5 with capacity 15,\nan edge from node 18 to node 1 with capacity 19,\nan edge from node 19 to node 3 with capacity 18,\nan edge from node 19 to node 10 with capacity 8,\nan edge from node 19 to node 15 with capacity 14,\nan edge from node 19 to node 7 with capacity 19,\nan edge from node 19 to node 9 with capacity 9,\nan edge from node 19 to node 2 with capacity 3,\nan edge from node 19 to node 5 with capacity 17,\nan edge from node 19 to node 1 with capacity 19,\nWhat is the maximum flow from node 6 to node 12:"
            },
            {
                "from": "gpt",
                "value": "47."
            }
        ]
    },
    {
        "id": "flow-hard-graph183",
        "image": "data/flow/graph_visual/hard/graph183.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 5 with capacity 18,\nan edge from node 0 to node 6 with capacity 20,\nan edge from node 1 to node 4 with capacity 10,\nan edge from node 1 to node 9 with capacity 11,\nan edge from node 1 to node 11 with capacity 7,\nan edge from node 1 to node 0 with capacity 5,\nan edge from node 2 to node 10 with capacity 11,\nan edge from node 2 to node 1 with capacity 10,\nan edge from node 2 to node 11 with capacity 13,\nan edge from node 3 to node 10 with capacity 12,\nan edge from node 3 to node 6 with capacity 8,\nan edge from node 3 to node 8 with capacity 19,\nan edge from node 3 to node 7 with capacity 6,\nan edge from node 3 to node 2 with capacity 7,\nan edge from node 4 to node 9 with capacity 18,\nan edge from node 4 to node 0 with capacity 16,\nan edge from node 5 to node 4 with capacity 8,\nan edge from node 5 to node 6 with capacity 2,\nan edge from node 5 to node 8 with capacity 12,\nan edge from node 5 to node 7 with capacity 17,\nan edge from node 5 to node 2 with capacity 5,\nan edge from node 6 to node 5 with capacity 15,\nan edge from node 6 to node 3 with capacity 20,\nan edge from node 7 to node 4 with capacity 3,\nan edge from node 7 to node 9 with capacity 6,\nan edge from node 8 to node 4 with capacity 3,\nan edge from node 8 to node 10 with capacity 18,\nan edge from node 8 to node 9 with capacity 11,\nan edge from node 8 to node 3 with capacity 3,\nan edge from node 9 to node 5 with capacity 1,\nan edge from node 9 to node 6 with capacity 1,\nan edge from node 9 to node 8 with capacity 11,\nan edge from node 10 to node 6 with capacity 13,\nan edge from node 10 to node 1 with capacity 14,\nan edge from node 10 to node 11 with capacity 15,\nan edge from node 10 to node 0 with capacity 11,\nan edge from node 11 to node 10 with capacity 19,\nan edge from node 11 to node 6 with capacity 14,\nan edge from node 11 to node 1 with capacity 13,\nan edge from node 11 to node 9 with capacity 14,\nan edge from node 11 to node 0 with capacity 20,\nWhat is the maximum flow from node 8 to node 1:"
            },
            {
                "from": "gpt",
                "value": "26."
            }
        ]
    },
    {
        "id": "flow-hard-graph515",
        "image": "data/flow/graph_visual/hard/graph515.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 5 with capacity 16,\nan edge from node 0 to node 9 with capacity 3,\nan edge from node 0 to node 3 with capacity 5,\nan edge from node 0 to node 2 with capacity 19,\nan edge from node 1 to node 4 with capacity 6,\nan edge from node 1 to node 8 with capacity 14,\nan edge from node 1 to node 11 with capacity 15,\nan edge from node 1 to node 9 with capacity 20,\nan edge from node 1 to node 2 with capacity 10,\nan edge from node 1 to node 12 with capacity 10,\nan edge from node 2 to node 14 with capacity 11,\nan edge from node 2 to node 11 with capacity 14,\nan edge from node 2 to node 13 with capacity 7,\nan edge from node 3 to node 14 with capacity 13,\nan edge from node 3 to node 5 with capacity 11,\nan edge from node 3 to node 8 with capacity 11,\nan edge from node 3 to node 9 with capacity 18,\nan edge from node 3 to node 1 with capacity 7,\nan edge from node 3 to node 12 with capacity 6,\nan edge from node 3 to node 6 with capacity 3,\nan edge from node 3 to node 10 with capacity 18,\nan edge from node 4 to node 14 with capacity 14,\nan edge from node 4 to node 5 with capacity 3,\nan edge from node 4 to node 3 with capacity 3,\nan edge from node 4 to node 2 with capacity 8,\nan edge from node 4 to node 10 with capacity 3,\nan edge from node 5 to node 9 with capacity 7,\nan edge from node 5 to node 3 with capacity 6,\nan edge from node 5 to node 0 with capacity 1,\nan edge from node 5 to node 13 with capacity 5,\nan edge from node 6 to node 11 with capacity 14,\nan edge from node 6 to node 7 with capacity 1,\nan edge from node 6 to node 13 with capacity 9,\nan edge from node 7 to node 14 with capacity 2,\nan edge from node 7 to node 8 with capacity 8,\nan edge from node 7 to node 11 with capacity 17,\nan edge from node 7 to node 3 with capacity 2,\nan edge from node 7 to node 1 with capacity 13,\nan edge from node 7 to node 12 with capacity 7,\nan edge from node 8 to node 14 with capacity 11,\nan edge from node 8 to node 9 with capacity 8,\nan edge from node 8 to node 0 with capacity 4,\nan edge from node 8 to node 2 with capacity 2,\nan edge from node 8 to node 10 with capacity 3,\nan edge from node 9 to node 3 with capacity 4,\nan edge from node 9 to node 6 with capacity 19,\nan edge from node 10 to node 5 with capacity 7,\nan edge from node 10 to node 11 with capacity 11,\nan edge from node 10 to node 0 with capacity 2,\nan edge from node 11 to node 4 with capacity 19,\nan edge from node 11 to node 7 with capacity 18,\nan edge from node 11 to node 2 with capacity 5,\nan edge from node 11 to node 6 with capacity 17,\nan edge from node 12 to node 14 with capacity 14,\nan edge from node 12 to node 3 with capacity 12,\nan edge from node 12 to node 0 with capacity 15,\nan edge from node 13 to node 4 with capacity 11,\nan edge from node 13 to node 11 with capacity 12,\nan edge from node 13 to node 6 with capacity 13,\nan edge from node 14 to node 7 with capacity 15,\nan edge from node 14 to node 13 with capacity 16,\nan edge from node 14 to node 12 with capacity 4,\nWhat is the maximum flow from node 14 to node 8:"
            },
            {
                "from": "gpt",
                "value": "33."
            }
        ]
    },
    {
        "id": "flow-hard-graph1045",
        "image": "data/flow/graph_visual/hard/graph1045.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 1 with capacity 8,\nan edge from node 0 to node 2 with capacity 7,\nan edge from node 0 to node 10 with capacity 20,\nan edge from node 0 to node 3 with capacity 6,\nan edge from node 0 to node 16 with capacity 13,\nan edge from node 1 to node 10 with capacity 18,\nan edge from node 1 to node 0 with capacity 8,\nan edge from node 1 to node 3 with capacity 8,\nan edge from node 1 to node 16 with capacity 6,\nan edge from node 1 to node 11 with capacity 3,\nan edge from node 1 to node 7 with capacity 20,\nan edge from node 1 to node 6 with capacity 19,\nan edge from node 1 to node 15 with capacity 2,\nan edge from node 1 to node 17 with capacity 6,\nan edge from node 2 to node 14 with capacity 20,\nan edge from node 2 to node 4 with capacity 17,\nan edge from node 2 to node 12 with capacity 9,\nan edge from node 2 to node 11 with capacity 13,\nan edge from node 2 to node 15 with capacity 1,\nan edge from node 3 to node 14 with capacity 16,\nan edge from node 3 to node 0 with capacity 6,\nan edge from node 4 to node 15 with capacity 3,\nan edge from node 4 to node 5 with capacity 11,\nan edge from node 5 to node 14 with capacity 16,\nan edge from node 5 to node 6 with capacity 6,\nan edge from node 6 to node 14 with capacity 12,\nan edge from node 6 to node 18 with capacity 3,\nan edge from node 6 to node 3 with capacity 7,\nan edge from node 6 to node 9 with capacity 11,\nan edge from node 6 to node 11 with capacity 18,\nan edge from node 6 to node 7 with capacity 7,\nan edge from node 7 to node 14 with capacity 9,\nan edge from node 7 to node 1 with capacity 7,\nan edge from node 7 to node 10 with capacity 13,\nan edge from node 7 to node 9 with capacity 15,\nan edge from node 8 to node 18 with capacity 20,\nan edge from node 8 to node 1 with capacity 6,\nan edge from node 8 to node 0 with capacity 7,\nan edge from node 8 to node 15 with capacity 3,\nan edge from node 9 to node 4 with capacity 18,\nan edge from node 9 to node 1 with capacity 5,\nan edge from node 9 to node 8 with capacity 3,\nan edge from node 9 to node 7 with capacity 9,\nan edge from node 9 to node 6 with capacity 14,\nan edge from node 9 to node 5 with capacity 5,\nan edge from node 10 to node 2 with capacity 9,\nan edge from node 10 to node 0 with capacity 3,\nan edge from node 10 to node 9 with capacity 6,\nan edge from node 10 to node 11 with capacity 14,\nan edge from node 10 to node 7 with capacity 19,\nan edge from node 11 to node 0 with capacity 15,\nan edge from node 11 to node 16 with capacity 12,\nan edge from node 11 to node 15 with capacity 19,\nan edge from node 11 to node 5 with capacity 11,\nan edge from node 12 to node 4 with capacity 19,\nan edge from node 12 to node 1 with capacity 10,\nan edge from node 12 to node 9 with capacity 7,\nan edge from node 12 to node 7 with capacity 19,\nan edge from node 12 to node 6 with capacity 18,\nan edge from node 12 to node 5 with capacity 7,\nan edge from node 14 to node 18 with capacity 3,\nan edge from node 14 to node 2 with capacity 2,\nan edge from node 14 to node 10 with capacity 9,\nan edge from node 14 to node 9 with capacity 17,\nan edge from node 14 to node 13 with capacity 9,\nan edge from node 15 to node 5 with capacity 16,\nan edge from node 16 to node 1 with capacity 5,\nan edge from node 16 to node 12 with capacity 14,\nan edge from node 16 to node 0 with capacity 12,\nan edge from node 17 to node 14 with capacity 17,\nan edge from node 17 to node 4 with capacity 19,\nan edge from node 17 to node 18 with capacity 3,\nan edge from node 17 to node 1 with capacity 14,\nan edge from node 17 to node 3 with capacity 15,\nan edge from node 17 to node 13 with capacity 20,\nan edge from node 17 to node 8 with capacity 6,\nan edge from node 18 to node 1 with capacity 14,\nan edge from node 18 to node 3 with capacity 12,\nan edge from node 18 to node 13 with capacity 19,\nan edge from node 18 to node 8 with capacity 15,\nan edge from node 18 to node 7 with capacity 19,\nan edge from node 18 to node 6 with capacity 15,\nWhat is the maximum flow from node 16 to node 9:"
            },
            {
                "from": "gpt",
                "value": "31."
            }
        ]
    },
    {
        "id": "flow-hard-graph844",
        "image": "data/flow/graph_visual/hard/graph844.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 15 with capacity 20,\nan edge from node 0 to node 7 with capacity 8,\nan edge from node 0 to node 9 with capacity 17,\nan edge from node 0 to node 12 with capacity 12,\nan edge from node 1 to node 9 with capacity 17,\nan edge from node 1 to node 6 with capacity 16,\nan edge from node 1 to node 3 with capacity 4,\nan edge from node 2 to node 16 with capacity 15,\nan edge from node 2 to node 8 with capacity 12,\nan edge from node 3 to node 14 with capacity 12,\nan edge from node 3 to node 9 with capacity 10,\nan edge from node 4 to node 14 with capacity 20,\nan edge from node 4 to node 6 with capacity 10,\nan edge from node 5 to node 0 with capacity 16,\nan edge from node 5 to node 13 with capacity 4,\nan edge from node 5 to node 8 with capacity 8,\nan edge from node 5 to node 2 with capacity 11,\nan edge from node 6 to node 4 with capacity 7,\nan edge from node 6 to node 13 with capacity 19,\nan edge from node 6 to node 14 with capacity 4,\nan edge from node 6 to node 9 with capacity 5,\nan edge from node 8 to node 0 with capacity 18,\nan edge from node 8 to node 16 with capacity 5,\nan edge from node 8 to node 15 with capacity 4,\nan edge from node 8 to node 2 with capacity 10,\nan edge from node 8 to node 9 with capacity 20,\nan edge from node 8 to node 5 with capacity 19,\nan edge from node 9 to node 4 with capacity 17,\nan edge from node 9 to node 13 with capacity 3,\nan edge from node 9 to node 17 with capacity 19,\nan edge from node 10 to node 4 with capacity 15,\nan edge from node 10 to node 1 with capacity 12,\nan edge from node 10 to node 8 with capacity 7,\nan edge from node 11 to node 16 with capacity 18,\nan edge from node 11 to node 13 with capacity 14,\nan edge from node 11 to node 8 with capacity 6,\nan edge from node 11 to node 17 with capacity 17,\nan edge from node 11 to node 12 with capacity 10,\nan edge from node 12 to node 1 with capacity 14,\nan edge from node 12 to node 7 with capacity 8,\nan edge from node 12 to node 3 with capacity 20,\nan edge from node 13 to node 2 with capacity 5,\nan edge from node 13 to node 5 with capacity 10,\nan edge from node 14 to node 0 with capacity 12,\nan edge from node 14 to node 1 with capacity 16,\nan edge from node 14 to node 5 with capacity 14,\nan edge from node 14 to node 6 with capacity 15,\nan edge from node 15 to node 0 with capacity 9,\nan edge from node 15 to node 1 with capacity 20,\nan edge from node 15 to node 6 with capacity 20,\nan edge from node 16 to node 1 with capacity 9,\nan edge from node 16 to node 9 with capacity 12,\nan edge from node 16 to node 11 with capacity 14,\nan edge from node 17 to node 4 with capacity 19,\nan edge from node 17 to node 13 with capacity 4,\nan edge from node 17 to node 11 with capacity 9,\nWhat is the maximum flow from node 10 to node 2:"
            },
            {
                "from": "gpt",
                "value": "26."
            }
        ]
    },
    {
        "id": "flow-hard-graph68",
        "image": "data/flow/graph_visual/hard/graph68.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 9 with capacity 18,\nan edge from node 0 to node 5 with capacity 1,\nan edge from node 0 to node 1 with capacity 9,\nan edge from node 1 to node 7 with capacity 14,\nan edge from node 1 to node 0 with capacity 5,\nan edge from node 1 to node 8 with capacity 8,\nan edge from node 2 to node 7 with capacity 2,\nan edge from node 2 to node 0 with capacity 1,\nan edge from node 2 to node 5 with capacity 11,\nan edge from node 3 to node 9 with capacity 20,\nan edge from node 4 to node 1 with capacity 13,\nan edge from node 4 to node 10 with capacity 18,\nan edge from node 4 to node 8 with capacity 12,\nan edge from node 4 to node 3 with capacity 6,\nan edge from node 5 to node 2 with capacity 14,\nan edge from node 5 to node 8 with capacity 17,\nan edge from node 5 to node 6 with capacity 4,\nan edge from node 6 to node 4 with capacity 19,\nan edge from node 6 to node 2 with capacity 6,\nan edge from node 6 to node 0 with capacity 10,\nan edge from node 6 to node 10 with capacity 17,\nan edge from node 8 to node 2 with capacity 9,\nan edge from node 9 to node 4 with capacity 10,\nan edge from node 9 to node 7 with capacity 6,\nan edge from node 9 to node 10 with capacity 17,\nan edge from node 10 to node 2 with capacity 12,\nan edge from node 10 to node 0 with capacity 11,\nan edge from node 10 to node 5 with capacity 9,\nWhat is the maximum flow from node 6 to node 7:"
            },
            {
                "from": "gpt",
                "value": "22."
            }
        ]
    },
    {
        "id": "flow-hard-graph1018",
        "image": "data/flow/graph_visual/hard/graph1018.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 11 with capacity 16,\nan edge from node 0 to node 18 with capacity 11,\nan edge from node 0 to node 5 with capacity 2,\nan edge from node 1 to node 7 with capacity 8,\nan edge from node 1 to node 0 with capacity 19,\nan edge from node 1 to node 10 with capacity 20,\nan edge from node 1 to node 14 with capacity 15,\nan edge from node 1 to node 3 with capacity 10,\nan edge from node 2 to node 8 with capacity 12,\nan edge from node 2 to node 16 with capacity 3,\nan edge from node 3 to node 11 with capacity 3,\nan edge from node 3 to node 17 with capacity 15,\nan edge from node 3 to node 8 with capacity 16,\nan edge from node 3 to node 7 with capacity 16,\nan edge from node 3 to node 18 with capacity 2,\nan edge from node 3 to node 15 with capacity 17,\nan edge from node 3 to node 2 with capacity 2,\nan edge from node 4 to node 13 with capacity 2,\nan edge from node 4 to node 16 with capacity 19,\nan edge from node 4 to node 5 with capacity 18,\nan edge from node 5 to node 17 with capacity 1,\nan edge from node 5 to node 7 with capacity 17,\nan edge from node 5 to node 14 with capacity 5,\nan edge from node 5 to node 3 with capacity 19,\nan edge from node 5 to node 2 with capacity 6,\nan edge from node 6 to node 3 with capacity 8,\nan edge from node 6 to node 1 with capacity 2,\nan edge from node 7 to node 8 with capacity 10,\nan edge from node 7 to node 16 with capacity 20,\nan edge from node 7 to node 6 with capacity 19,\nan edge from node 7 to node 10 with capacity 8,\nan edge from node 7 to node 14 with capacity 14,\nan edge from node 7 to node 4 with capacity 5,\nan edge from node 8 to node 13 with capacity 13,\nan edge from node 8 to node 18 with capacity 12,\nan edge from node 8 to node 10 with capacity 1,\nan edge from node 8 to node 12 with capacity 1,\nan edge from node 9 to node 8 with capacity 13,\nan edge from node 9 to node 12 with capacity 20,\nan edge from node 9 to node 5 with capacity 6,\nan edge from node 9 to node 15 with capacity 11,\nan edge from node 9 to node 2 with capacity 2,\nan edge from node 10 to node 13 with capacity 5,\nan edge from node 10 to node 11 with capacity 17,\nan edge from node 10 to node 6 with capacity 15,\nan edge from node 10 to node 15 with capacity 18,\nan edge from node 10 to node 2 with capacity 8,\nan edge from node 11 to node 13 with capacity 4,\nan edge from node 11 to node 18 with capacity 3,\nan edge from node 11 to node 0 with capacity 10,\nan edge from node 11 to node 15 with capacity 8,\nan edge from node 11 to node 1 with capacity 2,\nan edge from node 12 to node 17 with capacity 13,\nan edge from node 13 to node 8 with capacity 5,\nan edge from node 13 to node 0 with capacity 19,\nan edge from node 13 to node 6 with capacity 17,\nan edge from node 13 to node 15 with capacity 5,\nan edge from node 14 to node 13 with capacity 5,\nan edge from node 14 to node 17 with capacity 18,\nan edge from node 14 to node 16 with capacity 13,\nan edge from node 14 to node 0 with capacity 18,\nan edge from node 14 to node 4 with capacity 2,\nan edge from node 14 to node 2 with capacity 13,\nan edge from node 15 to node 13 with capacity 8,\nan edge from node 15 to node 8 with capacity 18,\nan edge from node 15 to node 7 with capacity 3,\nan edge from node 15 to node 18 with capacity 10,\nan edge from node 15 to node 0 with capacity 14,\nan edge from node 16 to node 8 with capacity 9,\nan edge from node 16 to node 7 with capacity 4,\nan edge from node 16 to node 9 with capacity 15,\nan edge from node 16 to node 10 with capacity 11,\nan edge from node 16 to node 1 with capacity 7,\nan edge from node 17 to node 11 with capacity 20,\nan edge from node 17 to node 8 with capacity 12,\nan edge from node 17 to node 0 with capacity 19,\nan edge from node 17 to node 6 with capacity 15,\nan edge from node 17 to node 5 with capacity 18,\nan edge from node 18 to node 11 with capacity 2,\nan edge from node 18 to node 17 with capacity 15,\nan edge from node 18 to node 14 with capacity 15,\nan edge from node 18 to node 3 with capacity 5,\nan edge from node 18 to node 15 with capacity 4,\nan edge from node 18 to node 2 with capacity 15,\nWhat is the maximum flow from node 14 to node 13:"
            },
            {
                "from": "gpt",
                "value": "37."
            }
        ]
    },
    {
        "id": "flow-hard-graph499",
        "image": "data/flow/graph_visual/hard/graph499.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 11 with capacity 20,\nan edge from node 0 to node 14 with capacity 20,\nan edge from node 0 to node 10 with capacity 17,\nan edge from node 0 to node 4 with capacity 8,\nan edge from node 0 to node 6 with capacity 7,\nan edge from node 1 to node 14 with capacity 18,\nan edge from node 1 to node 10 with capacity 19,\nan edge from node 1 to node 4 with capacity 18,\nan edge from node 1 to node 6 with capacity 15,\nan edge from node 1 to node 2 with capacity 14,\nan edge from node 1 to node 12 with capacity 9,\nan edge from node 2 to node 7 with capacity 17,\nan edge from node 2 to node 8 with capacity 8,\nan edge from node 2 to node 1 with capacity 7,\nan edge from node 2 to node 9 with capacity 14,\nan edge from node 3 to node 13 with capacity 15,\nan edge from node 3 to node 14 with capacity 17,\nan edge from node 3 to node 4 with capacity 20,\nan edge from node 3 to node 0 with capacity 3,\nan edge from node 3 to node 5 with capacity 10,\nan edge from node 3 to node 12 with capacity 1,\nan edge from node 4 to node 8 with capacity 18,\nan edge from node 4 to node 5 with capacity 1,\nan edge from node 5 to node 11 with capacity 2,\nan edge from node 5 to node 13 with capacity 9,\nan edge from node 5 to node 3 with capacity 20,\nan edge from node 5 to node 0 with capacity 9,\nan edge from node 5 to node 1 with capacity 11,\nan edge from node 6 to node 10 with capacity 12,\nan edge from node 6 to node 0 with capacity 11,\nan edge from node 6 to node 1 with capacity 17,\nan edge from node 7 to node 13 with capacity 13,\nan edge from node 7 to node 10 with capacity 13,\nan edge from node 7 to node 4 with capacity 20,\nan edge from node 7 to node 9 with capacity 3,\nan edge from node 8 to node 11 with capacity 10,\nan edge from node 8 to node 10 with capacity 7,\nan edge from node 8 to node 4 with capacity 20,\nan edge from node 8 to node 1 with capacity 19,\nan edge from node 8 to node 9 with capacity 8,\nan edge from node 9 to node 11 with capacity 10,\nan edge from node 9 to node 13 with capacity 19,\nan edge from node 9 to node 14 with capacity 1,\nan edge from node 9 to node 7 with capacity 19,\nan edge from node 9 to node 8 with capacity 2,\nan edge from node 10 to node 13 with capacity 8,\nan edge from node 10 to node 8 with capacity 17,\nan edge from node 10 to node 0 with capacity 3,\nan edge from node 10 to node 12 with capacity 5,\nan edge from node 11 to node 4 with capacity 13,\nan edge from node 11 to node 3 with capacity 13,\nan edge from node 11 to node 1 with capacity 20,\nan edge from node 11 to node 12 with capacity 16,\nan edge from node 12 to node 13 with capacity 11,\nan edge from node 12 to node 6 with capacity 13,\nan edge from node 12 to node 2 with capacity 12,\nan edge from node 12 to node 5 with capacity 7,\nan edge from node 13 to node 14 with capacity 11,\nan edge from node 13 to node 5 with capacity 15,\nan edge from node 14 to node 13 with capacity 5,\nan edge from node 14 to node 0 with capacity 5,\nan edge from node 14 to node 5 with capacity 17,\nan edge from node 14 to node 12 with capacity 14,\nWhat is the maximum flow from node 4 to node 10:"
            },
            {
                "from": "gpt",
                "value": "19."
            }
        ]
    },
    {
        "id": "flow-hard-graph984",
        "image": "data/flow/graph_visual/hard/graph984.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 4 with capacity 20,\nan edge from node 0 to node 11 with capacity 8,\nan edge from node 0 to node 12 with capacity 4,\nan edge from node 0 to node 13 with capacity 1,\nan edge from node 0 to node 9 with capacity 12,\nan edge from node 0 to node 3 with capacity 15,\nan edge from node 0 to node 15 with capacity 2,\nan edge from node 1 to node 14 with capacity 3,\nan edge from node 1 to node 11 with capacity 19,\nan edge from node 1 to node 7 with capacity 15,\nan edge from node 1 to node 2 with capacity 9,\nan edge from node 1 to node 16 with capacity 16,\nan edge from node 2 to node 14 with capacity 6,\nan edge from node 2 to node 5 with capacity 8,\nan edge from node 2 to node 6 with capacity 10,\nan edge from node 2 to node 8 with capacity 9,\nan edge from node 2 to node 18 with capacity 15,\nan edge from node 2 to node 15 with capacity 1,\nan edge from node 3 to node 4 with capacity 7,\nan edge from node 3 to node 17 with capacity 14,\nan edge from node 4 to node 14 with capacity 13,\nan edge from node 4 to node 5 with capacity 5,\nan edge from node 4 to node 10 with capacity 2,\nan edge from node 4 to node 6 with capacity 11,\nan edge from node 4 to node 9 with capacity 11,\nan edge from node 4 to node 2 with capacity 1,\nan edge from node 4 to node 18 with capacity 15,\nan edge from node 5 to node 14 with capacity 20,\nan edge from node 5 to node 6 with capacity 18,\nan edge from node 5 to node 2 with capacity 20,\nan edge from node 5 to node 15 with capacity 19,\nan edge from node 6 to node 16 with capacity 8,\nan edge from node 6 to node 15 with capacity 13,\nan edge from node 7 to node 5 with capacity 20,\nan edge from node 7 to node 6 with capacity 11,\nan edge from node 7 to node 3 with capacity 14,\nan edge from node 7 to node 2 with capacity 19,\nan edge from node 8 to node 4 with capacity 9,\nan edge from node 8 to node 14 with capacity 12,\nan edge from node 8 to node 5 with capacity 14,\nan edge from node 8 to node 10 with capacity 11,\nan edge from node 8 to node 1 with capacity 13,\nan edge from node 8 to node 6 with capacity 5,\nan edge from node 8 to node 9 with capacity 2,\nan edge from node 8 to node 2 with capacity 9,\nan edge from node 8 to node 16 with capacity 6,\nan edge from node 9 to node 11 with capacity 16,\nan edge from node 9 to node 12 with capacity 18,\nan edge from node 9 to node 18 with capacity 4,\nan edge from node 9 to node 15 with capacity 8,\nan edge from node 10 to node 5 with capacity 14,\nan edge from node 10 to node 6 with capacity 5,\nan edge from node 11 to node 17 with capacity 8,\nan edge from node 11 to node 7 with capacity 18,\nan edge from node 11 to node 2 with capacity 14,\nan edge from node 11 to node 18 with capacity 10,\nan edge from node 12 to node 10 with capacity 20,\nan edge from node 12 to node 11 with capacity 7,\nan edge from node 12 to node 8 with capacity 9,\nan edge from node 12 to node 16 with capacity 18,\nan edge from node 12 to node 15 with capacity 12,\nan edge from node 13 to node 14 with capacity 6,\nan edge from node 13 to node 0 with capacity 2,\nan edge from node 13 to node 11 with capacity 3,\nan edge from node 13 to node 7 with capacity 15,\nan edge from node 13 to node 18 with capacity 17,\nan edge from node 14 to node 4 with capacity 18,\nan edge from node 14 to node 10 with capacity 14,\nan edge from node 14 to node 8 with capacity 10,\nan edge from node 14 to node 3 with capacity 6,\nan edge from node 14 to node 16 with capacity 16,\nan edge from node 15 to node 5 with capacity 6,\nan edge from node 15 to node 9 with capacity 18,\nan edge from node 15 to node 2 with capacity 8,\nan edge from node 16 to node 14 with capacity 13,\nan edge from node 16 to node 0 with capacity 14,\nan edge from node 16 to node 10 with capacity 2,\nan edge from node 16 to node 7 with capacity 10,\nan edge from node 16 to node 18 with capacity 8,\nan edge from node 17 to node 14 with capacity 5,\nan edge from node 17 to node 1 with capacity 1,\nan edge from node 17 to node 8 with capacity 1,\nan edge from node 18 to node 5 with capacity 14,\nan edge from node 18 to node 0 with capacity 18,\nan edge from node 18 to node 10 with capacity 9,\nan edge from node 18 to node 11 with capacity 17,\nan edge from node 18 to node 12 with capacity 15,\nan edge from node 18 to node 3 with capacity 16,\nWhat is the maximum flow from node 4 to node 12:"
            },
            {
                "from": "gpt",
                "value": "37."
            }
        ]
    },
    {
        "id": "flow-hard-graph318",
        "image": "data/flow/graph_visual/hard/graph318.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 11 with capacity 6,\nan edge from node 0 to node 6 with capacity 8,\nan edge from node 0 to node 8 with capacity 8,\nan edge from node 0 to node 12 with capacity 6,\nan edge from node 0 to node 7 with capacity 11,\nan edge from node 0 to node 3 with capacity 20,\nan edge from node 1 to node 6 with capacity 2,\nan edge from node 1 to node 10 with capacity 11,\nan edge from node 1 to node 4 with capacity 14,\nan edge from node 2 to node 11 with capacity 2,\nan edge from node 2 to node 6 with capacity 20,\nan edge from node 2 to node 0 with capacity 3,\nan edge from node 2 to node 8 with capacity 8,\nan edge from node 2 to node 10 with capacity 10,\nan edge from node 2 to node 12 with capacity 6,\nan edge from node 2 to node 7 with capacity 17,\nan edge from node 2 to node 3 with capacity 4,\nan edge from node 3 to node 11 with capacity 5,\nan edge from node 3 to node 8 with capacity 3,\nan edge from node 3 to node 10 with capacity 5,\nan edge from node 4 to node 5 with capacity 10,\nan edge from node 5 to node 9 with capacity 13,\nan edge from node 5 to node 11 with capacity 6,\nan edge from node 5 to node 2 with capacity 17,\nan edge from node 5 to node 3 with capacity 4,\nan edge from node 5 to node 4 with capacity 18,\nan edge from node 6 to node 12 with capacity 19,\nan edge from node 6 to node 4 with capacity 1,\nan edge from node 7 to node 1 with capacity 9,\nan edge from node 7 to node 2 with capacity 17,\nan edge from node 7 to node 5 with capacity 18,\nan edge from node 8 to node 1 with capacity 5,\nan edge from node 8 to node 9 with capacity 4,\nan edge from node 8 to node 12 with capacity 8,\nan edge from node 8 to node 3 with capacity 8,\nan edge from node 9 to node 2 with capacity 15,\nan edge from node 9 to node 10 with capacity 3,\nan edge from node 9 to node 4 with capacity 3,\nan edge from node 10 to node 1 with capacity 11,\nan edge from node 10 to node 6 with capacity 15,\nan edge from node 10 to node 2 with capacity 20,\nan edge from node 10 to node 12 with capacity 3,\nan edge from node 11 to node 6 with capacity 10,\nan edge from node 12 to node 9 with capacity 5,\nan edge from node 12 to node 8 with capacity 15,\nan edge from node 12 to node 10 with capacity 8,\nan edge from node 12 to node 5 with capacity 16,\nWhat is the maximum flow from node 3 to node 12:"
            },
            {
                "from": "gpt",
                "value": "13."
            }
        ]
    },
    {
        "id": "flow-hard-graph447",
        "image": "data/flow/graph_visual/hard/graph447.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 8 with capacity 16,\nan edge from node 0 to node 5 with capacity 8,\nan edge from node 0 to node 12 with capacity 13,\nan edge from node 0 to node 4 with capacity 14,\nan edge from node 1 to node 8 with capacity 7,\nan edge from node 1 to node 10 with capacity 7,\nan edge from node 2 to node 8 with capacity 13,\nan edge from node 2 to node 0 with capacity 11,\nan edge from node 2 to node 5 with capacity 19,\nan edge from node 2 to node 4 with capacity 7,\nan edge from node 3 to node 7 with capacity 3,\nan edge from node 3 to node 11 with capacity 14,\nan edge from node 3 to node 2 with capacity 10,\nan edge from node 3 to node 8 with capacity 4,\nan edge from node 3 to node 0 with capacity 2,\nan edge from node 4 to node 10 with capacity 7,\nan edge from node 4 to node 5 with capacity 13,\nan edge from node 5 to node 7 with capacity 4,\nan edge from node 5 to node 2 with capacity 13,\nan edge from node 5 to node 1 with capacity 10,\nan edge from node 6 to node 10 with capacity 9,\nan edge from node 6 to node 4 with capacity 7,\nan edge from node 6 to node 9 with capacity 2,\nan edge from node 7 to node 2 with capacity 20,\nan edge from node 7 to node 5 with capacity 13,\nan edge from node 7 to node 1 with capacity 7,\nan edge from node 7 to node 12 with capacity 20,\nan edge from node 8 to node 7 with capacity 17,\nan edge from node 8 to node 0 with capacity 14,\nan edge from node 8 to node 4 with capacity 1,\nan edge from node 9 to node 8 with capacity 1,\nan edge from node 9 to node 10 with capacity 12,\nan edge from node 9 to node 12 with capacity 6,\nan edge from node 9 to node 4 with capacity 11,\nan edge from node 10 to node 11 with capacity 10,\nan edge from node 10 to node 5 with capacity 15,\nan edge from node 10 to node 1 with capacity 1,\nan edge from node 10 to node 12 with capacity 14,\nan edge from node 11 to node 8 with capacity 8,\nan edge from node 11 to node 10 with capacity 9,\nan edge from node 11 to node 4 with capacity 16,\nan edge from node 11 to node 6 with capacity 18,\nan edge from node 11 to node 9 with capacity 3,\nan edge from node 12 to node 3 with capacity 14,\nan edge from node 12 to node 8 with capacity 12,\nan edge from node 12 to node 0 with capacity 2,\nan edge from node 12 to node 13 with capacity 14,\nan edge from node 12 to node 4 with capacity 14,\nan edge from node 13 to node 10 with capacity 6,\nan edge from node 13 to node 5 with capacity 1,\nan edge from node 13 to node 12 with capacity 1,\nan edge from node 13 to node 9 with capacity 15,\nWhat is the maximum flow from node 2 to node 7:"
            },
            {
                "from": "gpt",
                "value": "24."
            }
        ]
    },
    {
        "id": "flow-hard-graph452",
        "image": "data/flow/graph_visual/hard/graph452.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 10 with capacity 18,\nan edge from node 0 to node 8 with capacity 8,\nan edge from node 0 to node 1 with capacity 19,\nan edge from node 1 to node 5 with capacity 16,\nan edge from node 1 to node 3 with capacity 8,\nan edge from node 2 to node 7 with capacity 16,\nan edge from node 2 to node 0 with capacity 4,\nan edge from node 2 to node 3 with capacity 4,\nan edge from node 2 to node 9 with capacity 2,\nan edge from node 3 to node 7 with capacity 9,\nan edge from node 3 to node 9 with capacity 9,\nan edge from node 3 to node 12 with capacity 6,\nan edge from node 4 to node 5 with capacity 19,\nan edge from node 4 to node 8 with capacity 4,\nan edge from node 4 to node 3 with capacity 17,\nan edge from node 4 to node 12 with capacity 17,\nan edge from node 5 to node 2 with capacity 18,\nan edge from node 5 to node 3 with capacity 6,\nan edge from node 5 to node 9 with capacity 13,\nan edge from node 5 to node 12 with capacity 15,\nan edge from node 5 to node 4 with capacity 20,\nan edge from node 6 to node 10 with capacity 7,\nan edge from node 6 to node 9 with capacity 10,\nan edge from node 7 to node 2 with capacity 14,\nan edge from node 7 to node 11 with capacity 2,\nan edge from node 7 to node 6 with capacity 18,\nan edge from node 7 to node 3 with capacity 1,\nan edge from node 7 to node 13 with capacity 8,\nan edge from node 8 to node 2 with capacity 1,\nan edge from node 8 to node 9 with capacity 10,\nan edge from node 8 to node 13 with capacity 16,\nan edge from node 9 to node 2 with capacity 9,\nan edge from node 9 to node 8 with capacity 10,\nan edge from node 9 to node 6 with capacity 9,\nan edge from node 10 to node 8 with capacity 13,\nan edge from node 10 to node 3 with capacity 10,\nan edge from node 10 to node 4 with capacity 16,\nan edge from node 10 to node 13 with capacity 2,\nan edge from node 11 to node 5 with capacity 20,\nan edge from node 11 to node 2 with capacity 11,\nan edge from node 11 to node 9 with capacity 4,\nan edge from node 11 to node 13 with capacity 14,\nan edge from node 12 to node 0 with capacity 12,\nan edge from node 12 to node 3 with capacity 17,\nan edge from node 12 to node 13 with capacity 19,\nan edge from node 13 to node 1 with capacity 20,\nan edge from node 13 to node 12 with capacity 9,\nWhat is the maximum flow from node 4 to node 5:"
            },
            {
                "from": "gpt",
                "value": "37."
            }
        ]
    },
    {
        "id": "flow-hard-graph402",
        "image": "data/flow/graph_visual/hard/graph402.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 12 with capacity 2,\nan edge from node 0 to node 13 with capacity 2,\nan edge from node 0 to node 7 with capacity 9,\nan edge from node 1 to node 12 with capacity 19,\nan edge from node 1 to node 13 with capacity 4,\nan edge from node 1 to node 2 with capacity 11,\nan edge from node 1 to node 4 with capacity 11,\nan edge from node 2 to node 6 with capacity 11,\nan edge from node 2 to node 3 with capacity 4,\nan edge from node 3 to node 12 with capacity 10,\nan edge from node 4 to node 5 with capacity 19,\nan edge from node 4 to node 10 with capacity 17,\nan edge from node 5 to node 12 with capacity 19,\nan edge from node 5 to node 13 with capacity 10,\nan edge from node 5 to node 0 with capacity 10,\nan edge from node 5 to node 10 with capacity 8,\nan edge from node 5 to node 8 with capacity 16,\nan edge from node 6 to node 11 with capacity 15,\nan edge from node 6 to node 7 with capacity 2,\nan edge from node 6 to node 2 with capacity 10,\nan edge from node 6 to node 10 with capacity 20,\nan edge from node 7 to node 5 with capacity 18,\nan edge from node 7 to node 12 with capacity 14,\nan edge from node 7 to node 6 with capacity 15,\nan edge from node 7 to node 11 with capacity 17,\nan edge from node 7 to node 9 with capacity 9,\nan edge from node 7 to node 0 with capacity 19,\nan edge from node 7 to node 2 with capacity 8,\nan edge from node 7 to node 10 with capacity 3,\nan edge from node 7 to node 3 with capacity 14,\nan edge from node 8 to node 6 with capacity 5,\nan edge from node 8 to node 0 with capacity 7,\nan edge from node 8 to node 2 with capacity 19,\nan edge from node 10 to node 12 with capacity 1,\nan edge from node 10 to node 3 with capacity 16,\nan edge from node 10 to node 8 with capacity 4,\nan edge from node 11 to node 6 with capacity 14,\nan edge from node 11 to node 2 with capacity 13,\nan edge from node 11 to node 10 with capacity 3,\nan edge from node 11 to node 3 with capacity 20,\nan edge from node 12 to node 6 with capacity 16,\nan edge from node 12 to node 11 with capacity 15,\nan edge from node 12 to node 2 with capacity 15,\nan edge from node 12 to node 10 with capacity 7,\nan edge from node 12 to node 4 with capacity 11,\nan edge from node 13 to node 12 with capacity 10,\nan edge from node 13 to node 0 with capacity 11,\nan edge from node 13 to node 7 with capacity 4,\nan edge from node 13 to node 10 with capacity 16,\nan edge from node 13 to node 3 with capacity 2,\nWhat is the maximum flow from node 1 to node 6:"
            },
            {
                "from": "gpt",
                "value": "45."
            }
        ]
    },
    {
        "id": "flow-hard-graph341",
        "image": "data/flow/graph_visual/hard/graph341.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 12 with capacity 8,\nan edge from node 0 to node 7 with capacity 7,\nan edge from node 0 to node 10 with capacity 19,\nan edge from node 0 to node 5 with capacity 13,\nan edge from node 1 to node 11 with capacity 3,\nan edge from node 1 to node 4 with capacity 17,\nan edge from node 1 to node 2 with capacity 5,\nan edge from node 2 to node 9 with capacity 3,\nan edge from node 2 to node 10 with capacity 17,\nan edge from node 2 to node 5 with capacity 6,\nan edge from node 4 to node 10 with capacity 18,\nan edge from node 4 to node 6 with capacity 16,\nan edge from node 5 to node 12 with capacity 14,\nan edge from node 5 to node 7 with capacity 20,\nan edge from node 5 to node 10 with capacity 19,\nan edge from node 5 to node 2 with capacity 6,\nan edge from node 5 to node 6 with capacity 4,\nan edge from node 6 to node 11 with capacity 10,\nan edge from node 6 to node 1 with capacity 14,\nan edge from node 6 to node 7 with capacity 10,\nan edge from node 6 to node 9 with capacity 16,\nan edge from node 7 to node 12 with capacity 14,\nan edge from node 7 to node 0 with capacity 10,\nan edge from node 7 to node 3 with capacity 17,\nan edge from node 8 to node 7 with capacity 5,\nan edge from node 8 to node 9 with capacity 6,\nan edge from node 9 to node 11 with capacity 19,\nan edge from node 10 to node 1 with capacity 11,\nan edge from node 12 to node 1 with capacity 1,\nan edge from node 12 to node 4 with capacity 1,\nan edge from node 12 to node 9 with capacity 4,\nan edge from node 12 to node 5 with capacity 7,\nan edge from node 12 to node 3 with capacity 3,\nWhat is the maximum flow from node 2 to node 3:"
            },
            {
                "from": "gpt",
                "value": "16."
            }
        ]
    },
    {
        "id": "flow-hard-graph723",
        "image": "data/flow/graph_visual/hard/graph723.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 1 with capacity 19,\nan edge from node 0 to node 8 with capacity 13,\nan edge from node 0 to node 7 with capacity 1,\nan edge from node 0 to node 2 with capacity 19,\nan edge from node 1 to node 9 with capacity 5,\nan edge from node 1 to node 14 with capacity 5,\nan edge from node 1 to node 5 with capacity 17,\nan edge from node 2 to node 7 with capacity 19,\nan edge from node 2 to node 0 with capacity 12,\nan edge from node 2 to node 4 with capacity 5,\nan edge from node 3 to node 10 with capacity 11,\nan edge from node 3 to node 6 with capacity 17,\nan edge from node 3 to node 16 with capacity 18,\nan edge from node 4 to node 1 with capacity 3,\nan edge from node 4 to node 3 with capacity 17,\nan edge from node 4 to node 9 with capacity 14,\nan edge from node 4 to node 0 with capacity 1,\nan edge from node 4 to node 11 with capacity 4,\nan edge from node 4 to node 5 with capacity 12,\nan edge from node 5 to node 8 with capacity 13,\nan edge from node 5 to node 10 with capacity 5,\nan edge from node 5 to node 13 with capacity 1,\nan edge from node 6 to node 0 with capacity 13,\nan edge from node 7 to node 1 with capacity 17,\nan edge from node 8 to node 1 with capacity 17,\nan edge from node 8 to node 15 with capacity 6,\nan edge from node 8 to node 14 with capacity 17,\nan edge from node 8 to node 13 with capacity 10,\nan edge from node 8 to node 16 with capacity 5,\nan edge from node 8 to node 4 with capacity 8,\nan edge from node 9 to node 7 with capacity 11,\nan edge from node 9 to node 14 with capacity 11,\nan edge from node 9 to node 12 with capacity 4,\nan edge from node 9 to node 0 with capacity 12,\nan edge from node 9 to node 4 with capacity 6,\nan edge from node 10 to node 1 with capacity 18,\nan edge from node 11 to node 1 with capacity 6,\nan edge from node 11 to node 3 with capacity 18,\nan edge from node 11 to node 8 with capacity 13,\nan edge from node 11 to node 12 with capacity 14,\nan edge from node 11 to node 16 with capacity 6,\nan edge from node 11 to node 4 with capacity 10,\nan edge from node 11 to node 5 with capacity 13,\nan edge from node 12 to node 7 with capacity 14,\nan edge from node 12 to node 10 with capacity 9,\nan edge from node 12 to node 16 with capacity 1,\nan edge from node 12 to node 4 with capacity 1,\nan edge from node 13 to node 8 with capacity 2,\nan edge from node 13 to node 9 with capacity 5,\nan edge from node 13 to node 15 with capacity 19,\nan edge from node 13 to node 6 with capacity 5,\nan edge from node 13 to node 5 with capacity 5,\nan edge from node 14 to node 10 with capacity 6,\nan edge from node 14 to node 11 with capacity 6,\nan edge from node 14 to node 5 with capacity 9,\nan edge from node 15 to node 7 with capacity 19,\nan edge from node 15 to node 11 with capacity 9,\nan edge from node 16 to node 1 with capacity 7,\nan edge from node 16 to node 7 with capacity 14,\nan edge from node 16 to node 9 with capacity 4,\nan edge from node 16 to node 10 with capacity 19,\nan edge from node 16 to node 2 with capacity 12,\nan edge from node 16 to node 5 with capacity 20,\nWhat is the maximum flow from node 7 to node 1:"
            },
            {
                "from": "gpt",
                "value": "17."
            }
        ]
    },
    {
        "id": "flow-hard-graph230",
        "image": "data/flow/graph_visual/hard/graph230.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 9 with capacity 20,\nan edge from node 0 to node 11 with capacity 10,\nan edge from node 1 to node 0 with capacity 18,\nan edge from node 1 to node 4 with capacity 16,\nan edge from node 1 to node 9 with capacity 10,\nan edge from node 2 to node 4 with capacity 19,\nan edge from node 2 to node 10 with capacity 1,\nan edge from node 2 to node 8 with capacity 20,\nan edge from node 2 to node 9 with capacity 16,\nan edge from node 2 to node 1 with capacity 2,\nan edge from node 3 to node 0 with capacity 20,\nan edge from node 3 to node 2 with capacity 16,\nan edge from node 3 to node 6 with capacity 10,\nan edge from node 4 to node 3 with capacity 16,\nan edge from node 4 to node 8 with capacity 10,\nan edge from node 4 to node 9 with capacity 3,\nan edge from node 5 to node 7 with capacity 13,\nan edge from node 5 to node 3 with capacity 4,\nan edge from node 5 to node 9 with capacity 17,\nan edge from node 6 to node 4 with capacity 14,\nan edge from node 6 to node 10 with capacity 9,\nan edge from node 6 to node 9 with capacity 1,\nan edge from node 7 to node 0 with capacity 5,\nan edge from node 7 to node 3 with capacity 6,\nan edge from node 7 to node 1 with capacity 11,\nan edge from node 8 to node 6 with capacity 9,\nan edge from node 9 to node 8 with capacity 14,\nan edge from node 9 to node 5 with capacity 4,\nan edge from node 10 to node 11 with capacity 8,\nan edge from node 10 to node 1 with capacity 14,\nan edge from node 11 to node 7 with capacity 14,\nan edge from node 11 to node 2 with capacity 18,\nWhat is the maximum flow from node 5 to node 1:"
            },
            {
                "from": "gpt",
                "value": "23."
            }
        ]
    },
    {
        "id": "flow-hard-graph388",
        "image": "data/flow/graph_visual/hard/graph388.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 10 with capacity 7,\nan edge from node 0 to node 2 with capacity 11,\nan edge from node 0 to node 4 with capacity 20,\nan edge from node 2 to node 3 with capacity 14,\nan edge from node 3 to node 1 with capacity 1,\nan edge from node 3 to node 6 with capacity 17,\nan edge from node 3 to node 12 with capacity 14,\nan edge from node 4 to node 3 with capacity 10,\nan edge from node 4 to node 7 with capacity 2,\nan edge from node 4 to node 0 with capacity 10,\nan edge from node 5 to node 6 with capacity 6,\nan edge from node 6 to node 8 with capacity 1,\nan edge from node 6 to node 5 with capacity 16,\nan edge from node 6 to node 4 with capacity 14,\nan edge from node 8 to node 9 with capacity 3,\nan edge from node 8 to node 13 with capacity 6,\nan edge from node 8 to node 7 with capacity 7,\nan edge from node 8 to node 11 with capacity 19,\nan edge from node 9 to node 10 with capacity 2,\nan edge from node 9 to node 6 with capacity 17,\nan edge from node 9 to node 5 with capacity 13,\nan edge from node 10 to node 3 with capacity 11,\nan edge from node 10 to node 9 with capacity 18,\nan edge from node 10 to node 1 with capacity 13,\nan edge from node 10 to node 11 with capacity 2,\nan edge from node 11 to node 7 with capacity 2,\nan edge from node 11 to node 0 with capacity 8,\nan edge from node 11 to node 5 with capacity 17,\nan edge from node 12 to node 13 with capacity 16,\nan edge from node 12 to node 6 with capacity 13,\nan edge from node 13 to node 8 with capacity 11,\nWhat is the maximum flow from node 10 to node 2:"
            },
            {
                "from": "gpt",
                "value": "11."
            }
        ]
    },
    {
        "id": "flow-hard-graph471",
        "image": "data/flow/graph_visual/hard/graph471.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 8 with capacity 7,\nan edge from node 0 to node 12 with capacity 11,\nan edge from node 0 to node 13 with capacity 2,\nan edge from node 0 to node 9 with capacity 19,\nan edge from node 1 to node 8 with capacity 17,\nan edge from node 1 to node 3 with capacity 15,\nan edge from node 1 to node 9 with capacity 14,\nan edge from node 2 to node 4 with capacity 14,\nan edge from node 2 to node 11 with capacity 1,\nan edge from node 2 to node 1 with capacity 12,\nan edge from node 3 to node 12 with capacity 11,\nan edge from node 3 to node 0 with capacity 17,\nan edge from node 3 to node 13 with capacity 15,\nan edge from node 3 to node 1 with capacity 7,\nan edge from node 3 to node 7 with capacity 13,\nan edge from node 3 to node 10 with capacity 6,\nan edge from node 4 to node 3 with capacity 6,\nan edge from node 4 to node 5 with capacity 7,\nan edge from node 4 to node 1 with capacity 3,\nan edge from node 4 to node 7 with capacity 5,\nan edge from node 5 to node 4 with capacity 9,\nan edge from node 5 to node 0 with capacity 15,\nan edge from node 5 to node 3 with capacity 8,\nan edge from node 5 to node 1 with capacity 6,\nan edge from node 6 to node 0 with capacity 7,\nan edge from node 7 to node 13 with capacity 2,\nan edge from node 7 to node 11 with capacity 11,\nan edge from node 7 to node 6 with capacity 13,\nan edge from node 8 to node 4 with capacity 12,\nan edge from node 8 to node 13 with capacity 10,\nan edge from node 8 to node 11 with capacity 19,\nan edge from node 8 to node 9 with capacity 18,\nan edge from node 8 to node 2 with capacity 13,\nan edge from node 8 to node 1 with capacity 7,\nan edge from node 9 to node 0 with capacity 5,\nan edge from node 9 to node 5 with capacity 4,\nan edge from node 9 to node 2 with capacity 16,\nan edge from node 9 to node 10 with capacity 12,\nan edge from node 10 to node 8 with capacity 17,\nan edge from node 10 to node 0 with capacity 14,\nan edge from node 10 to node 3 with capacity 18,\nan edge from node 11 to node 12 with capacity 2,\nan edge from node 11 to node 0 with capacity 7,\nan edge from node 11 to node 13 with capacity 15,\nan edge from node 11 to node 9 with capacity 13,\nan edge from node 11 to node 5 with capacity 5,\nan edge from node 11 to node 10 with capacity 16,\nan edge from node 11 to node 6 with capacity 16,\nan edge from node 12 to node 8 with capacity 1,\nan edge from node 12 to node 1 with capacity 3,\nan edge from node 13 to node 8 with capacity 9,\nan edge from node 13 to node 12 with capacity 13,\nan edge from node 13 to node 4 with capacity 16,\nan edge from node 13 to node 9 with capacity 18,\nan edge from node 13 to node 7 with capacity 12,\nWhat is the maximum flow from node 13 to node 4:"
            },
            {
                "from": "gpt",
                "value": "51."
            }
        ]
    },
    {
        "id": "flow-hard-graph166",
        "image": "data/flow/graph_visual/hard/graph166.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 11 with capacity 19,\nan edge from node 0 to node 4 with capacity 2,\nan edge from node 1 to node 0 with capacity 19,\nan edge from node 2 to node 5 with capacity 1,\nan edge from node 2 to node 8 with capacity 10,\nan edge from node 2 to node 0 with capacity 17,\nan edge from node 3 to node 7 with capacity 6,\nan edge from node 3 to node 4 with capacity 5,\nan edge from node 4 to node 5 with capacity 7,\nan edge from node 4 to node 11 with capacity 8,\nan edge from node 4 to node 3 with capacity 20,\nan edge from node 4 to node 8 with capacity 6,\nan edge from node 4 to node 0 with capacity 16,\nan edge from node 5 to node 7 with capacity 18,\nan edge from node 5 to node 1 with capacity 4,\nan edge from node 6 to node 11 with capacity 9,\nan edge from node 6 to node 0 with capacity 11,\nan edge from node 6 to node 4 with capacity 11,\nan edge from node 8 to node 1 with capacity 16,\nan edge from node 8 to node 3 with capacity 1,\nan edge from node 8 to node 6 with capacity 9,\nan edge from node 8 to node 9 with capacity 15,\nan edge from node 8 to node 4 with capacity 12,\nan edge from node 9 to node 10 with capacity 5,\nan edge from node 9 to node 1 with capacity 15,\nan edge from node 9 to node 2 with capacity 15,\nan edge from node 10 to node 1 with capacity 20,\nan edge from node 11 to node 1 with capacity 4,\nan edge from node 11 to node 6 with capacity 4,\nan edge from node 11 to node 0 with capacity 7,\nan edge from node 11 to node 4 with capacity 12,\nWhat is the maximum flow from node 6 to node 4:"
            },
            {
                "from": "gpt",
                "value": "25."
            }
        ]
    },
    {
        "id": "flow-hard-graph147",
        "image": "data/flow/graph_visual/hard/graph147.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 7 with capacity 14,\nan edge from node 0 to node 10 with capacity 13,\nan edge from node 1 to node 6 with capacity 2,\nan edge from node 1 to node 2 with capacity 2,\nan edge from node 1 to node 3 with capacity 1,\nan edge from node 1 to node 4 with capacity 8,\nan edge from node 3 to node 6 with capacity 3,\nan edge from node 3 to node 2 with capacity 8,\nan edge from node 3 to node 8 with capacity 20,\nan edge from node 3 to node 0 with capacity 4,\nan edge from node 4 to node 2 with capacity 13,\nan edge from node 4 to node 8 with capacity 6,\nan edge from node 5 to node 0 with capacity 3,\nan edge from node 5 to node 1 with capacity 16,\nan edge from node 5 to node 10 with capacity 2,\nan edge from node 6 to node 9 with capacity 10,\nan edge from node 6 to node 5 with capacity 13,\nan edge from node 7 to node 0 with capacity 3,\nan edge from node 8 to node 11 with capacity 8,\nan edge from node 9 to node 7 with capacity 15,\nan edge from node 9 to node 10 with capacity 10,\nan edge from node 10 to node 8 with capacity 5,\nan edge from node 10 to node 9 with capacity 10,\nan edge from node 10 to node 0 with capacity 12,\nan edge from node 10 to node 1 with capacity 6,\nan edge from node 10 to node 5 with capacity 1,\nan edge from node 10 to node 11 with capacity 11,\nan edge from node 11 to node 1 with capacity 18,\nWhat is the maximum flow from node 3 to node 8:"
            },
            {
                "from": "gpt",
                "value": "27."
            }
        ]
    },
    {
        "id": "flow-hard-graph45",
        "image": "data/flow/graph_visual/hard/graph45.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 6 with capacity 9,\nan edge from node 0 to node 5 with capacity 16,\nan edge from node 1 to node 9 with capacity 3,\nan edge from node 1 to node 5 with capacity 20,\nan edge from node 2 to node 8 with capacity 11,\nan edge from node 2 to node 7 with capacity 10,\nan edge from node 2 to node 4 with capacity 5,\nan edge from node 2 to node 0 with capacity 7,\nan edge from node 2 to node 5 with capacity 20,\nan edge from node 2 to node 1 with capacity 15,\nan edge from node 4 to node 9 with capacity 7,\nan edge from node 4 to node 7 with capacity 13,\nan edge from node 5 to node 8 with capacity 17,\nan edge from node 5 to node 3 with capacity 5,\nan edge from node 6 to node 7 with capacity 1,\nan edge from node 6 to node 1 with capacity 1,\nan edge from node 7 to node 0 with capacity 15,\nan edge from node 7 to node 5 with capacity 2,\nan edge from node 7 to node 3 with capacity 10,\nan edge from node 8 to node 10 with capacity 6,\nan edge from node 8 to node 4 with capacity 4,\nan edge from node 8 to node 2 with capacity 4,\nan edge from node 8 to node 6 with capacity 1,\nan edge from node 8 to node 0 with capacity 8,\nan edge from node 8 to node 5 with capacity 11,\nan edge from node 8 to node 1 with capacity 1,\nan edge from node 9 to node 8 with capacity 13,\nan edge from node 9 to node 10 with capacity 11,\nan edge from node 9 to node 7 with capacity 1,\nan edge from node 9 to node 2 with capacity 12,\nan edge from node 9 to node 0 with capacity 19,\nan edge from node 10 to node 6 with capacity 13,\nWhat is the maximum flow from node 5 to node 3:"
            },
            {
                "from": "gpt",
                "value": "15."
            }
        ]
    },
    {
        "id": "flow-hard-graph101",
        "image": "data/flow/graph_visual/hard/graph101.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 6 with capacity 5,\nan edge from node 0 to node 2 with capacity 14,\nan edge from node 1 to node 7 with capacity 15,\nan edge from node 1 to node 10 with capacity 19,\nan edge from node 1 to node 8 with capacity 6,\nan edge from node 2 to node 6 with capacity 3,\nan edge from node 2 to node 5 with capacity 16,\nan edge from node 2 to node 9 with capacity 13,\nan edge from node 2 to node 10 with capacity 9,\nan edge from node 3 to node 0 with capacity 4,\nan edge from node 3 to node 1 with capacity 20,\nan edge from node 3 to node 2 with capacity 10,\nan edge from node 3 to node 8 with capacity 4,\nan edge from node 4 to node 5 with capacity 18,\nan edge from node 4 to node 9 with capacity 20,\nan edge from node 4 to node 7 with capacity 18,\nan edge from node 4 to node 3 with capacity 13,\nan edge from node 4 to node 2 with capacity 6,\nan edge from node 4 to node 10 with capacity 16,\nan edge from node 4 to node 8 with capacity 2,\nan edge from node 5 to node 7 with capacity 9,\nan edge from node 6 to node 5 with capacity 1,\nan edge from node 6 to node 10 with capacity 1,\nan edge from node 7 to node 9 with capacity 9,\nan edge from node 7 to node 1 with capacity 19,\nan edge from node 7 to node 2 with capacity 3,\nan edge from node 7 to node 8 with capacity 5,\nan edge from node 8 to node 6 with capacity 5,\nan edge from node 8 to node 5 with capacity 5,\nan edge from node 8 to node 1 with capacity 18,\nan edge from node 10 to node 4 with capacity 4,\nWhat is the maximum flow from node 3 to node 9:"
            },
            {
                "from": "gpt",
                "value": "26."
            }
        ]
    },
    {
        "id": "flow-hard-graph481",
        "image": "data/flow/graph_visual/hard/graph481.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 7 with capacity 19,\nan edge from node 0 to node 9 with capacity 11,\nan edge from node 1 to node 3 with capacity 17,\nan edge from node 1 to node 2 with capacity 8,\nan edge from node 2 to node 14 with capacity 16,\nan edge from node 2 to node 10 with capacity 2,\nan edge from node 2 to node 8 with capacity 3,\nan edge from node 2 to node 0 with capacity 9,\nan edge from node 2 to node 9 with capacity 7,\nan edge from node 2 to node 5 with capacity 7,\nan edge from node 3 to node 7 with capacity 3,\nan edge from node 4 to node 14 with capacity 12,\nan edge from node 4 to node 3 with capacity 5,\nan edge from node 4 to node 12 with capacity 7,\nan edge from node 4 to node 0 with capacity 7,\nan edge from node 5 to node 11 with capacity 14,\nan edge from node 5 to node 13 with capacity 9,\nan edge from node 5 to node 9 with capacity 6,\nan edge from node 6 to node 14 with capacity 1,\nan edge from node 6 to node 1 with capacity 12,\nan edge from node 6 to node 0 with capacity 20,\nan edge from node 6 to node 2 with capacity 1,\nan edge from node 7 to node 6 with capacity 4,\nan edge from node 7 to node 10 with capacity 19,\nan edge from node 7 to node 8 with capacity 10,\nan edge from node 7 to node 3 with capacity 3,\nan edge from node 7 to node 1 with capacity 2,\nan edge from node 7 to node 12 with capacity 20,\nan edge from node 7 to node 13 with capacity 13,\nan edge from node 7 to node 2 with capacity 7,\nan edge from node 8 to node 10 with capacity 8,\nan edge from node 9 to node 2 with capacity 20,\nan edge from node 10 to node 14 with capacity 8,\nan edge from node 10 to node 9 with capacity 20,\nan edge from node 10 to node 2 with capacity 18,\nan edge from node 11 to node 14 with capacity 8,\nan edge from node 11 to node 3 with capacity 15,\nan edge from node 11 to node 0 with capacity 16,\nan edge from node 11 to node 7 with capacity 13,\nan edge from node 12 to node 6 with capacity 20,\nan edge from node 12 to node 14 with capacity 6,\nan edge from node 12 to node 8 with capacity 8,\nan edge from node 12 to node 1 with capacity 3,\nan edge from node 12 to node 0 with capacity 4,\nan edge from node 13 to node 3 with capacity 16,\nan edge from node 13 to node 5 with capacity 6,\nan edge from node 14 to node 1 with capacity 14,\nan edge from node 14 to node 13 with capacity 1,\nan edge from node 14 to node 2 with capacity 10,\nWhat is the maximum flow from node 0 to node 13:"
            },
            {
                "from": "gpt",
                "value": "21."
            }
        ]
    },
    {
        "id": "flow-hard-graph38",
        "image": "data/flow/graph_visual/hard/graph38.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 9 with capacity 13,\nan edge from node 0 to node 1 with capacity 10,\nan edge from node 0 to node 7 with capacity 13,\nan edge from node 1 to node 3 with capacity 7,\nan edge from node 1 to node 4 with capacity 9,\nan edge from node 1 to node 0 with capacity 12,\nan edge from node 2 to node 9 with capacity 3,\nan edge from node 2 to node 4 with capacity 13,\nan edge from node 2 to node 7 with capacity 8,\nan edge from node 3 to node 4 with capacity 10,\nan edge from node 3 to node 5 with capacity 14,\nan edge from node 3 to node 6 with capacity 15,\nan edge from node 3 to node 10 with capacity 9,\nan edge from node 4 to node 9 with capacity 7,\nan edge from node 4 to node 1 with capacity 6,\nan edge from node 4 to node 5 with capacity 6,\nan edge from node 4 to node 6 with capacity 12,\nan edge from node 4 to node 8 with capacity 1,\nan edge from node 4 to node 10 with capacity 4,\nan edge from node 5 to node 1 with capacity 18,\nan edge from node 5 to node 10 with capacity 18,\nan edge from node 6 to node 7 with capacity 8,\nan edge from node 6 to node 5 with capacity 15,\nan edge from node 6 to node 0 with capacity 8,\nan edge from node 6 to node 10 with capacity 19,\nan edge from node 7 to node 5 with capacity 12,\nan edge from node 8 to node 9 with capacity 3,\nan edge from node 8 to node 7 with capacity 8,\nan edge from node 8 to node 0 with capacity 12,\nan edge from node 9 to node 7 with capacity 18,\nan edge from node 9 to node 6 with capacity 12,\nan edge from node 9 to node 8 with capacity 13,\nan edge from node 9 to node 10 with capacity 3,\nan edge from node 10 to node 7 with capacity 2,\nan edge from node 10 to node 8 with capacity 6,\nWhat is the maximum flow from node 6 to node 3:"
            },
            {
                "from": "gpt",
                "value": "7."
            }
        ]
    },
    {
        "id": "flow-hard-graph849",
        "image": "data/flow/graph_visual/hard/graph849.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 7 with capacity 3,\nan edge from node 0 to node 14 with capacity 3,\nan edge from node 0 to node 13 with capacity 10,\nan edge from node 0 to node 9 with capacity 17,\nan edge from node 1 to node 6 with capacity 5,\nan edge from node 1 to node 10 with capacity 3,\nan edge from node 1 to node 16 with capacity 3,\nan edge from node 2 to node 14 with capacity 4,\nan edge from node 2 to node 1 with capacity 17,\nan edge from node 2 to node 5 with capacity 9,\nan edge from node 2 to node 17 with capacity 18,\nan edge from node 2 to node 15 with capacity 4,\nan edge from node 2 to node 12 with capacity 12,\nan edge from node 2 to node 8 with capacity 13,\nan edge from node 2 to node 0 with capacity 12,\nan edge from node 3 to node 14 with capacity 3,\nan edge from node 3 to node 1 with capacity 18,\nan edge from node 3 to node 12 with capacity 13,\nan edge from node 3 to node 8 with capacity 4,\nan edge from node 3 to node 16 with capacity 10,\nan edge from node 4 to node 6 with capacity 8,\nan edge from node 4 to node 14 with capacity 20,\nan edge from node 4 to node 3 with capacity 1,\nan edge from node 4 to node 17 with capacity 19,\nan edge from node 4 to node 9 with capacity 3,\nan edge from node 4 to node 16 with capacity 6,\nan edge from node 5 to node 6 with capacity 13,\nan edge from node 5 to node 14 with capacity 11,\nan edge from node 5 to node 15 with capacity 10,\nan edge from node 5 to node 4 with capacity 15,\nan edge from node 5 to node 2 with capacity 17,\nan edge from node 5 to node 0 with capacity 3,\nan edge from node 6 to node 7 with capacity 15,\nan edge from node 6 to node 13 with capacity 11,\nan edge from node 6 to node 1 with capacity 12,\nan edge from node 6 to node 5 with capacity 10,\nan edge from node 6 to node 17 with capacity 20,\nan edge from node 7 to node 3 with capacity 14,\nan edge from node 7 to node 11 with capacity 16,\nan edge from node 7 to node 8 with capacity 6,\nan edge from node 8 to node 13 with capacity 16,\nan edge from node 8 to node 12 with capacity 1,\nan edge from node 8 to node 0 with capacity 11,\nan edge from node 8 to node 16 with capacity 16,\nan edge from node 9 to node 1 with capacity 1,\nan edge from node 9 to node 17 with capacity 9,\nan edge from node 9 to node 10 with capacity 1,\nan edge from node 9 to node 12 with capacity 11,\nan edge from node 9 to node 4 with capacity 6,\nan edge from node 10 to node 1 with capacity 1,\nan edge from node 10 to node 11 with capacity 12,\nan edge from node 10 to node 4 with capacity 7,\nan edge from node 10 to node 0 with capacity 17,\nan edge from node 11 to node 14 with capacity 5,\nan edge from node 11 to node 2 with capacity 1,\nan edge from node 12 to node 14 with capacity 16,\nan edge from node 12 to node 13 with capacity 6,\nan edge from node 12 to node 15 with capacity 16,\nan edge from node 12 to node 2 with capacity 9,\nan edge from node 12 to node 8 with capacity 7,\nan edge from node 13 to node 14 with capacity 18,\nan edge from node 13 to node 2 with capacity 1,\nan edge from node 13 to node 8 with capacity 12,\nan edge from node 13 to node 0 with capacity 12,\nan edge from node 13 to node 16 with capacity 3,\nan edge from node 14 to node 17 with capacity 16,\nan edge from node 14 to node 12 with capacity 4,\nan edge from node 15 to node 1 with capacity 15,\nan edge from node 15 to node 10 with capacity 7,\nan edge from node 15 to node 12 with capacity 1,\nan edge from node 15 to node 0 with capacity 7,\nan edge from node 16 to node 5 with capacity 17,\nan edge from node 16 to node 10 with capacity 15,\nan edge from node 16 to node 9 with capacity 13,\nan edge from node 16 to node 11 with capacity 17,\nan edge from node 16 to node 15 with capacity 13,\nan edge from node 16 to node 2 with capacity 10,\nan edge from node 16 to node 8 with capacity 17,\nan edge from node 17 to node 3 with capacity 2,\nan edge from node 17 to node 9 with capacity 9,\nan edge from node 17 to node 12 with capacity 17,\nan edge from node 17 to node 2 with capacity 19,\nan edge from node 17 to node 16 with capacity 1,\nWhat is the maximum flow from node 4 to node 15:"
            },
            {
                "from": "gpt",
                "value": "43."
            }
        ]
    },
    {
        "id": "flow-hard-graph656",
        "image": "data/flow/graph_visual/hard/graph656.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 15 with capacity 7,\nan edge from node 0 to node 7 with capacity 6,\nan edge from node 0 to node 6 with capacity 18,\nan edge from node 1 to node 3 with capacity 3,\nan edge from node 1 to node 2 with capacity 1,\nan edge from node 1 to node 15 with capacity 15,\nan edge from node 1 to node 10 with capacity 19,\nan edge from node 1 to node 13 with capacity 10,\nan edge from node 1 to node 5 with capacity 2,\nan edge from node 2 to node 10 with capacity 13,\nan edge from node 2 to node 13 with capacity 4,\nan edge from node 2 to node 8 with capacity 6,\nan edge from node 2 to node 7 with capacity 16,\nan edge from node 2 to node 5 with capacity 6,\nan edge from node 2 to node 0 with capacity 16,\nan edge from node 3 to node 15 with capacity 13,\nan edge from node 3 to node 12 with capacity 7,\nan edge from node 3 to node 13 with capacity 11,\nan edge from node 3 to node 1 with capacity 17,\nan edge from node 3 to node 5 with capacity 2,\nan edge from node 3 to node 0 with capacity 6,\nan edge from node 4 to node 2 with capacity 10,\nan edge from node 4 to node 10 with capacity 16,\nan edge from node 4 to node 11 with capacity 19,\nan edge from node 4 to node 12 with capacity 13,\nan edge from node 5 to node 3 with capacity 10,\nan edge from node 5 to node 11 with capacity 19,\nan edge from node 5 to node 6 with capacity 11,\nan edge from node 6 to node 3 with capacity 20,\nan edge from node 7 to node 10 with capacity 3,\nan edge from node 7 to node 11 with capacity 1,\nan edge from node 7 to node 9 with capacity 10,\nan edge from node 7 to node 6 with capacity 8,\nan edge from node 8 to node 3 with capacity 5,\nan edge from node 8 to node 10 with capacity 17,\nan edge from node 8 to node 4 with capacity 7,\nan edge from node 8 to node 7 with capacity 1,\nan edge from node 9 to node 13 with capacity 11,\nan edge from node 9 to node 14 with capacity 13,\nan edge from node 9 to node 6 with capacity 14,\nan edge from node 10 to node 0 with capacity 8,\nan edge from node 10 to node 6 with capacity 2,\nan edge from node 11 to node 7 with capacity 3,\nan edge from node 11 to node 6 with capacity 6,\nan edge from node 12 to node 13 with capacity 20,\nan edge from node 12 to node 9 with capacity 4,\nan edge from node 12 to node 5 with capacity 8,\nan edge from node 13 to node 3 with capacity 1,\nan edge from node 13 to node 9 with capacity 17,\nan edge from node 13 to node 7 with capacity 9,\nan edge from node 13 to node 0 with capacity 14,\nan edge from node 14 to node 2 with capacity 15,\nan edge from node 14 to node 10 with capacity 4,\nan edge from node 14 to node 9 with capacity 8,\nan edge from node 14 to node 6 with capacity 14,\nan edge from node 15 to node 4 with capacity 2,\nan edge from node 15 to node 9 with capacity 5,\nan edge from node 15 to node 1 with capacity 17,\nan edge from node 15 to node 7 with capacity 2,\nan edge from node 15 to node 0 with capacity 4,\nWhat is the maximum flow from node 4 to node 2:"
            },
            {
                "from": "gpt",
                "value": "24."
            }
        ]
    },
    {
        "id": "flow-hard-graph559",
        "image": "data/flow/graph_visual/hard/graph559.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 9 with capacity 15,\nan edge from node 0 to node 14 with capacity 3,\nan edge from node 1 to node 13 with capacity 14,\nan edge from node 1 to node 10 with capacity 16,\nan edge from node 1 to node 7 with capacity 2,\nan edge from node 2 to node 3 with capacity 5,\nan edge from node 2 to node 9 with capacity 2,\nan edge from node 2 to node 14 with capacity 17,\nan edge from node 2 to node 10 with capacity 12,\nan edge from node 2 to node 11 with capacity 19,\nan edge from node 3 to node 0 with capacity 4,\nan edge from node 3 to node 2 with capacity 7,\nan edge from node 4 to node 1 with capacity 11,\nan edge from node 4 to node 3 with capacity 1,\nan edge from node 4 to node 9 with capacity 8,\nan edge from node 5 to node 11 with capacity 11,\nan edge from node 5 to node 8 with capacity 4,\nan edge from node 6 to node 3 with capacity 13,\nan edge from node 6 to node 0 with capacity 8,\nan edge from node 6 to node 7 with capacity 17,\nan edge from node 7 to node 5 with capacity 20,\nan edge from node 7 to node 0 with capacity 7,\nan edge from node 7 to node 4 with capacity 14,\nan edge from node 7 to node 10 with capacity 11,\nan edge from node 8 to node 1 with capacity 9,\nan edge from node 8 to node 10 with capacity 16,\nan edge from node 9 to node 12 with capacity 1,\nan edge from node 9 to node 13 with capacity 7,\nan edge from node 9 to node 3 with capacity 11,\nan edge from node 9 to node 7 with capacity 8,\nan edge from node 10 to node 1 with capacity 13,\nan edge from node 10 to node 5 with capacity 1,\nan edge from node 10 to node 0 with capacity 9,\nan edge from node 10 to node 2 with capacity 1,\nan edge from node 10 to node 14 with capacity 11,\nan edge from node 11 to node 1 with capacity 19,\nan edge from node 11 to node 12 with capacity 15,\nan edge from node 11 to node 13 with capacity 8,\nan edge from node 12 to node 2 with capacity 14,\nan edge from node 12 to node 10 with capacity 4,\nan edge from node 13 to node 1 with capacity 7,\nan edge from node 13 to node 3 with capacity 14,\nan edge from node 13 to node 9 with capacity 18,\nan edge from node 13 to node 4 with capacity 1,\nan edge from node 14 to node 1 with capacity 11,\nan edge from node 14 to node 12 with capacity 7,\nan edge from node 14 to node 5 with capacity 7,\nan edge from node 14 to node 3 with capacity 1,\nan edge from node 14 to node 11 with capacity 10,\nWhat is the maximum flow from node 5 to node 7:"
            },
            {
                "from": "gpt",
                "value": "10."
            }
        ]
    },
    {
        "id": "flow-hard-graph391",
        "image": "data/flow/graph_visual/hard/graph391.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 5 with capacity 19,\nan edge from node 0 to node 2 with capacity 11,\nan edge from node 1 to node 7 with capacity 6,\nan edge from node 2 to node 7 with capacity 19,\nan edge from node 2 to node 13 with capacity 19,\nan edge from node 2 to node 8 with capacity 2,\nan edge from node 2 to node 5 with capacity 14,\nan edge from node 2 to node 12 with capacity 20,\nan edge from node 2 to node 1 with capacity 4,\nan edge from node 3 to node 5 with capacity 5,\nan edge from node 3 to node 4 with capacity 14,\nan edge from node 4 to node 13 with capacity 9,\nan edge from node 4 to node 1 with capacity 2,\nan edge from node 4 to node 11 with capacity 10,\nan edge from node 5 to node 1 with capacity 2,\nan edge from node 5 to node 4 with capacity 20,\nan edge from node 6 to node 12 with capacity 8,\nan edge from node 6 to node 3 with capacity 19,\nan edge from node 7 to node 0 with capacity 6,\nan edge from node 8 to node 0 with capacity 16,\nan edge from node 8 to node 10 with capacity 1,\nan edge from node 9 to node 13 with capacity 10,\nan edge from node 9 to node 2 with capacity 4,\nan edge from node 9 to node 3 with capacity 17,\nan edge from node 9 to node 10 with capacity 6,\nan edge from node 9 to node 1 with capacity 15,\nan edge from node 9 to node 4 with capacity 16,\nan edge from node 10 to node 8 with capacity 5,\nan edge from node 10 to node 5 with capacity 17,\nan edge from node 10 to node 2 with capacity 10,\nan edge from node 10 to node 1 with capacity 14,\nan edge from node 11 to node 0 with capacity 17,\nan edge from node 13 to node 8 with capacity 19,\nan edge from node 13 to node 2 with capacity 16,\nan edge from node 13 to node 3 with capacity 10,\nan edge from node 13 to node 11 with capacity 6,\nWhat is the maximum flow from node 9 to node 4:"
            },
            {
                "from": "gpt",
                "value": "50."
            }
        ]
    },
    {
        "id": "flow-hard-graph959",
        "image": "data/flow/graph_visual/hard/graph959.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 15 with capacity 2,\nan edge from node 0 to node 3 with capacity 20,\nan edge from node 0 to node 12 with capacity 10,\nan edge from node 0 to node 10 with capacity 9,\nan edge from node 0 to node 8 with capacity 1,\nan edge from node 0 to node 7 with capacity 9,\nan edge from node 1 to node 0 with capacity 15,\nan edge from node 1 to node 12 with capacity 14,\nan edge from node 1 to node 5 with capacity 14,\nan edge from node 2 to node 1 with capacity 1,\nan edge from node 2 to node 14 with capacity 14,\nan edge from node 2 to node 16 with capacity 1,\nan edge from node 2 to node 10 with capacity 16,\nan edge from node 3 to node 11 with capacity 12,\nan edge from node 3 to node 16 with capacity 6,\nan edge from node 3 to node 12 with capacity 19,\nan edge from node 4 to node 6 with capacity 13,\nan edge from node 4 to node 9 with capacity 19,\nan edge from node 4 to node 0 with capacity 8,\nan edge from node 4 to node 14 with capacity 18,\nan edge from node 4 to node 13 with capacity 6,\nan edge from node 4 to node 10 with capacity 16,\nan edge from node 4 to node 8 with capacity 6,\nan edge from node 5 to node 1 with capacity 8,\nan edge from node 5 to node 11 with capacity 6,\nan edge from node 5 to node 2 with capacity 17,\nan edge from node 6 to node 1 with capacity 12,\nan edge from node 6 to node 15 with capacity 9,\nan edge from node 6 to node 9 with capacity 14,\nan edge from node 6 to node 14 with capacity 3,\nan edge from node 6 to node 13 with capacity 7,\nan edge from node 6 to node 17 with capacity 15,\nan edge from node 6 to node 12 with capacity 5,\nan edge from node 6 to node 4 with capacity 10,\nan edge from node 6 to node 5 with capacity 20,\nan edge from node 7 to node 6 with capacity 11,\nan edge from node 7 to node 1 with capacity 13,\nan edge from node 7 to node 14 with capacity 11,\nan edge from node 7 to node 8 with capacity 2,\nan edge from node 7 to node 5 with capacity 20,\nan edge from node 8 to node 11 with capacity 7,\nan edge from node 8 to node 3 with capacity 18,\nan edge from node 8 to node 17 with capacity 4,\nan edge from node 8 to node 4 with capacity 14,\nan edge from node 9 to node 1 with capacity 11,\nan edge from node 9 to node 2 with capacity 11,\nan edge from node 9 to node 13 with capacity 13,\nan edge from node 9 to node 16 with capacity 18,\nan edge from node 9 to node 12 with capacity 18,\nan edge from node 9 to node 10 with capacity 8,\nan edge from node 9 to node 7 with capacity 11,\nan edge from node 10 to node 16 with capacity 5,\nan edge from node 10 to node 12 with capacity 19,\nan edge from node 10 to node 7 with capacity 2,\nan edge from node 11 to node 1 with capacity 4,\nan edge from node 11 to node 14 with capacity 20,\nan edge from node 11 to node 2 with capacity 1,\nan edge from node 11 to node 13 with capacity 16,\nan edge from node 11 to node 17 with capacity 6,\nan edge from node 11 to node 16 with capacity 5,\nan edge from node 12 to node 6 with capacity 7,\nan edge from node 12 to node 1 with capacity 4,\nan edge from node 12 to node 14 with capacity 17,\nan edge from node 12 to node 2 with capacity 12,\nan edge from node 12 to node 16 with capacity 4,\nan edge from node 12 to node 4 with capacity 5,\nan edge from node 12 to node 7 with capacity 20,\nan edge from node 13 to node 1 with capacity 15,\nan edge from node 13 to node 17 with capacity 16,\nan edge from node 13 to node 10 with capacity 10,\nan edge from node 13 to node 5 with capacity 20,\nan edge from node 14 to node 15 with capacity 16,\nan edge from node 14 to node 9 with capacity 11,\nan edge from node 14 to node 3 with capacity 18,\nan edge from node 15 to node 11 with capacity 3,\nan edge from node 15 to node 16 with capacity 19,\nan edge from node 15 to node 10 with capacity 18,\nan edge from node 15 to node 5 with capacity 19,\nan edge from node 16 to node 1 with capacity 7,\nan edge from node 16 to node 9 with capacity 8,\nan edge from node 16 to node 4 with capacity 6,\nan edge from node 17 to node 1 with capacity 1,\nan edge from node 17 to node 9 with capacity 2,\nan edge from node 17 to node 14 with capacity 4,\nan edge from node 17 to node 16 with capacity 10,\nWhat is the maximum flow from node 0 to node 5:"
            },
            {
                "from": "gpt",
                "value": "51."
            }
        ]
    },
    {
        "id": "flow-hard-graph60",
        "image": "data/flow/graph_visual/hard/graph60.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 6 with capacity 20,\nan edge from node 0 to node 1 with capacity 10,\nan edge from node 0 to node 8 with capacity 2,\nan edge from node 1 to node 6 with capacity 2,\nan edge from node 1 to node 5 with capacity 7,\nan edge from node 1 to node 0 with capacity 9,\nan edge from node 2 to node 7 with capacity 18,\nan edge from node 2 to node 6 with capacity 7,\nan edge from node 2 to node 0 with capacity 5,\nan edge from node 2 to node 3 with capacity 7,\nan edge from node 2 to node 4 with capacity 18,\nan edge from node 3 to node 7 with capacity 14,\nan edge from node 3 to node 6 with capacity 1,\nan edge from node 3 to node 0 with capacity 5,\nan edge from node 3 to node 10 with capacity 8,\nan edge from node 3 to node 8 with capacity 15,\nan edge from node 3 to node 4 with capacity 2,\nan edge from node 4 to node 7 with capacity 13,\nan edge from node 4 to node 5 with capacity 6,\nan edge from node 4 to node 1 with capacity 5,\nan edge from node 4 to node 8 with capacity 15,\nan edge from node 5 to node 7 with capacity 3,\nan edge from node 5 to node 8 with capacity 12,\nan edge from node 5 to node 4 with capacity 6,\nan edge from node 6 to node 7 with capacity 14,\nan edge from node 6 to node 10 with capacity 14,\nan edge from node 6 to node 4 with capacity 20,\nan edge from node 7 to node 6 with capacity 8,\nan edge from node 7 to node 0 with capacity 8,\nan edge from node 7 to node 8 with capacity 18,\nan edge from node 8 to node 6 with capacity 2,\nan edge from node 8 to node 5 with capacity 11,\nan edge from node 8 to node 0 with capacity 3,\nan edge from node 8 to node 1 with capacity 9,\nan edge from node 8 to node 2 with capacity 1,\nan edge from node 8 to node 3 with capacity 14,\nan edge from node 8 to node 4 with capacity 2,\nan edge from node 8 to node 9 with capacity 18,\nan edge from node 9 to node 2 with capacity 9,\nan edge from node 10 to node 1 with capacity 4,\nWhat is the maximum flow from node 9 to node 4:"
            },
            {
                "from": "gpt",
                "value": "9."
            }
        ]
    },
    {
        "id": "flow-hard-graph148",
        "image": "data/flow/graph_visual/hard/graph148.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 9 with capacity 4,\nan edge from node 0 to node 6 with capacity 4,\nan edge from node 0 to node 8 with capacity 17,\nan edge from node 1 to node 2 with capacity 15,\nan edge from node 1 to node 7 with capacity 2,\nan edge from node 1 to node 5 with capacity 14,\nan edge from node 1 to node 8 with capacity 6,\nan edge from node 2 to node 1 with capacity 12,\nan edge from node 2 to node 0 with capacity 20,\nan edge from node 3 to node 9 with capacity 7,\nan edge from node 3 to node 8 with capacity 1,\nan edge from node 3 to node 10 with capacity 1,\nan edge from node 4 to node 5 with capacity 1,\nan edge from node 4 to node 10 with capacity 2,\nan edge from node 5 to node 10 with capacity 16,\nan edge from node 6 to node 7 with capacity 15,\nan edge from node 7 to node 3 with capacity 14,\nan edge from node 7 to node 4 with capacity 2,\nan edge from node 7 to node 0 with capacity 13,\nan edge from node 8 to node 4 with capacity 9,\nan edge from node 8 to node 6 with capacity 18,\nan edge from node 8 to node 7 with capacity 11,\nan edge from node 9 to node 4 with capacity 19,\nan edge from node 10 to node 1 with capacity 1,\nan edge from node 11 to node 9 with capacity 14,\nan edge from node 11 to node 6 with capacity 9,\nWhat is the maximum flow from node 10 to node 7:"
            },
            {
                "from": "gpt",
                "value": "1."
            }
        ]
    },
    {
        "id": "flow-hard-graph456",
        "image": "data/flow/graph_visual/hard/graph456.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 10 with capacity 10,\nan edge from node 1 to node 9 with capacity 13,\nan edge from node 1 to node 8 with capacity 17,\nan edge from node 1 to node 6 with capacity 5,\nan edge from node 1 to node 0 with capacity 15,\nan edge from node 1 to node 4 with capacity 19,\nan edge from node 1 to node 10 with capacity 18,\nan edge from node 1 to node 13 with capacity 7,\nan edge from node 2 to node 8 with capacity 17,\nan edge from node 2 to node 12 with capacity 6,\nan edge from node 3 to node 8 with capacity 4,\nan edge from node 3 to node 7 with capacity 9,\nan edge from node 3 to node 4 with capacity 16,\nan edge from node 3 to node 13 with capacity 9,\nan edge from node 3 to node 12 with capacity 19,\nan edge from node 4 to node 11 with capacity 4,\nan edge from node 6 to node 11 with capacity 18,\nan edge from node 6 to node 0 with capacity 17,\nan edge from node 6 to node 5 with capacity 2,\nan edge from node 6 to node 10 with capacity 16,\nan edge from node 7 to node 8 with capacity 4,\nan edge from node 7 to node 4 with capacity 10,\nan edge from node 7 to node 13 with capacity 5,\nan edge from node 8 to node 1 with capacity 11,\nan edge from node 8 to node 0 with capacity 11,\nan edge from node 8 to node 5 with capacity 13,\nan edge from node 8 to node 10 with capacity 19,\nan edge from node 8 to node 13 with capacity 8,\nan edge from node 9 to node 1 with capacity 6,\nan edge from node 9 to node 2 with capacity 5,\nan edge from node 9 to node 8 with capacity 2,\nan edge from node 9 to node 10 with capacity 13,\nan edge from node 9 to node 12 with capacity 16,\nan edge from node 10 to node 2 with capacity 14,\nan edge from node 10 to node 5 with capacity 13,\nan edge from node 11 to node 10 with capacity 19,\nan edge from node 12 to node 3 with capacity 5,\nan edge from node 12 to node 11 with capacity 19,\nan edge from node 12 to node 9 with capacity 6,\nan edge from node 12 to node 0 with capacity 11,\nan edge from node 12 to node 5 with capacity 13,\nan edge from node 13 to node 5 with capacity 10,\nan edge from node 13 to node 7 with capacity 13,\nWhat is the maximum flow from node 11 to node 7:"
            },
            {
                "from": "gpt",
                "value": "14."
            }
        ]
    },
    {
        "id": "flow-hard-graph1173",
        "image": "data/flow/graph_visual/hard/graph1173.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 9 with capacity 10,\nan edge from node 0 to node 3 with capacity 16,\nan edge from node 0 to node 16 with capacity 5,\nan edge from node 0 to node 2 with capacity 18,\nan edge from node 1 to node 9 with capacity 2,\nan edge from node 1 to node 13 with capacity 20,\nan edge from node 1 to node 8 with capacity 20,\nan edge from node 1 to node 14 with capacity 9,\nan edge from node 1 to node 10 with capacity 20,\nan edge from node 1 to node 4 with capacity 14,\nan edge from node 2 to node 9 with capacity 15,\nan edge from node 2 to node 12 with capacity 15,\nan edge from node 2 to node 16 with capacity 9,\nan edge from node 2 to node 11 with capacity 9,\nan edge from node 3 to node 7 with capacity 10,\nan edge from node 3 to node 5 with capacity 19,\nan edge from node 3 to node 17 with capacity 13,\nan edge from node 3 to node 8 with capacity 10,\nan edge from node 3 to node 0 with capacity 5,\nan edge from node 3 to node 19 with capacity 7,\nan edge from node 3 to node 4 with capacity 4,\nan edge from node 4 to node 7 with capacity 20,\nan edge from node 4 to node 15 with capacity 11,\nan edge from node 5 to node 12 with capacity 6,\nan edge from node 5 to node 16 with capacity 9,\nan edge from node 5 to node 17 with capacity 8,\nan edge from node 5 to node 14 with capacity 10,\nan edge from node 5 to node 19 with capacity 17,\nan edge from node 5 to node 6 with capacity 9,\nan edge from node 5 to node 4 with capacity 1,\nan edge from node 6 to node 12 with capacity 20,\nan edge from node 6 to node 8 with capacity 14,\nan edge from node 6 to node 15 with capacity 13,\nan edge from node 7 to node 9 with capacity 1,\nan edge from node 7 to node 8 with capacity 20,\nan edge from node 7 to node 19 with capacity 11,\nan edge from node 7 to node 6 with capacity 8,\nan edge from node 7 to node 10 with capacity 10,\nan edge from node 7 to node 18 with capacity 20,\nan edge from node 8 to node 7 with capacity 19,\nan edge from node 8 to node 9 with capacity 14,\nan edge from node 8 to node 12 with capacity 11,\nan edge from node 8 to node 16 with capacity 8,\nan edge from node 8 to node 17 with capacity 7,\nan edge from node 8 to node 13 with capacity 19,\nan edge from node 8 to node 19 with capacity 15,\nan edge from node 8 to node 18 with capacity 5,\nan edge from node 9 to node 0 with capacity 15,\nan edge from node 9 to node 2 with capacity 7,\nan edge from node 10 to node 3 with capacity 17,\nan edge from node 10 to node 16 with capacity 7,\nan edge from node 10 to node 14 with capacity 3,\nan edge from node 10 to node 1 with capacity 12,\nan edge from node 10 to node 4 with capacity 13,\nan edge from node 11 to node 9 with capacity 14,\nan edge from node 11 to node 3 with capacity 9,\nan edge from node 11 to node 17 with capacity 20,\nan edge from node 11 to node 4 with capacity 15,\nan edge from node 12 to node 13 with capacity 1,\nan edge from node 12 to node 1 with capacity 1,\nan edge from node 12 to node 15 with capacity 3,\nan edge from node 13 to node 5 with capacity 14,\nan edge from node 13 to node 6 with capacity 13,\nan edge from node 13 to node 18 with capacity 19,\nan edge from node 14 to node 7 with capacity 6,\nan edge from node 14 to node 5 with capacity 1,\nan edge from node 14 to node 12 with capacity 1,\nan edge from node 14 to node 17 with capacity 10,\nan edge from node 14 to node 8 with capacity 6,\nan edge from node 14 to node 1 with capacity 9,\nan edge from node 14 to node 4 with capacity 8,\nan edge from node 15 to node 12 with capacity 7,\nan edge from node 15 to node 17 with capacity 16,\nan edge from node 15 to node 0 with capacity 8,\nan edge from node 15 to node 11 with capacity 12,\nan edge from node 16 to node 9 with capacity 11,\nan edge from node 16 to node 5 with capacity 5,\nan edge from node 16 to node 12 with capacity 2,\nan edge from node 16 to node 17 with capacity 5,\nan edge from node 16 to node 0 with capacity 12,\nan edge from node 16 to node 18 with capacity 19,\nan edge from node 17 to node 8 with capacity 5,\nan edge from node 17 to node 14 with capacity 13,\nan edge from node 17 to node 2 with capacity 13,\nan edge from node 17 to node 15 with capacity 19,\nan edge from node 18 to node 7 with capacity 19,\nan edge from node 18 to node 8 with capacity 2,\nan edge from node 18 to node 10 with capacity 20,\nan edge from node 18 to node 1 with capacity 13,\nan edge from node 19 to node 3 with capacity 12,\nan edge from node 19 to node 18 with capacity 3,\nan edge from node 19 to node 4 with capacity 13,\nWhat is the maximum flow from node 12 to node 1:"
            },
            {
                "from": "gpt",
                "value": "5."
            }
        ]
    },
    {
        "id": "flow-hard-graph185",
        "image": "data/flow/graph_visual/hard/graph185.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 1 with capacity 4,\nan edge from node 0 to node 3 with capacity 11,\nan edge from node 0 to node 4 with capacity 15,\nan edge from node 0 to node 8 with capacity 8,\nan edge from node 1 to node 11 with capacity 17,\nan edge from node 1 to node 6 with capacity 5,\nan edge from node 1 to node 0 with capacity 13,\nan edge from node 2 to node 1 with capacity 2,\nan edge from node 2 to node 5 with capacity 18,\nan edge from node 3 to node 7 with capacity 19,\nan edge from node 3 to node 0 with capacity 14,\nan edge from node 4 to node 11 with capacity 14,\nan edge from node 4 to node 10 with capacity 12,\nan edge from node 5 to node 2 with capacity 10,\nan edge from node 6 to node 10 with capacity 9,\nan edge from node 6 to node 0 with capacity 18,\nan edge from node 6 to node 4 with capacity 16,\nan edge from node 7 to node 1 with capacity 8,\nan edge from node 8 to node 1 with capacity 5,\nan edge from node 8 to node 11 with capacity 16,\nan edge from node 8 to node 7 with capacity 16,\nan edge from node 9 to node 7 with capacity 6,\nan edge from node 9 to node 3 with capacity 16,\nan edge from node 10 to node 1 with capacity 13,\nan edge from node 10 to node 11 with capacity 1,\nan edge from node 10 to node 3 with capacity 7,\nan edge from node 10 to node 4 with capacity 14,\nan edge from node 10 to node 8 with capacity 6,\nan edge from node 11 to node 1 with capacity 14,\nan edge from node 11 to node 10 with capacity 16,\nan edge from node 11 to node 4 with capacity 11,\nan edge from node 11 to node 2 with capacity 11,\nan edge from node 11 to node 5 with capacity 1,\nWhat is the maximum flow from node 1 to node 4:"
            },
            {
                "from": "gpt",
                "value": "35."
            }
        ]
    },
    {
        "id": "flow-hard-graph352",
        "image": "data/flow/graph_visual/hard/graph352.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 5 with capacity 9,\nan edge from node 0 to node 1 with capacity 2,\nan edge from node 0 to node 6 with capacity 12,\nan edge from node 1 to node 10 with capacity 1,\nan edge from node 1 to node 8 with capacity 19,\nan edge from node 1 to node 9 with capacity 13,\nan edge from node 1 to node 2 with capacity 9,\nan edge from node 2 to node 4 with capacity 14,\nan edge from node 2 to node 5 with capacity 1,\nan edge from node 2 to node 1 with capacity 11,\nan edge from node 2 to node 11 with capacity 6,\nan edge from node 3 to node 0 with capacity 4,\nan edge from node 3 to node 7 with capacity 13,\nan edge from node 3 to node 12 with capacity 9,\nan edge from node 4 to node 7 with capacity 1,\nan edge from node 4 to node 2 with capacity 3,\nan edge from node 4 to node 6 with capacity 11,\nan edge from node 6 to node 2 with capacity 19,\nan edge from node 7 to node 1 with capacity 10,\nan edge from node 7 to node 0 with capacity 5,\nan edge from node 7 to node 11 with capacity 20,\nan edge from node 7 to node 9 with capacity 7,\nan edge from node 8 to node 10 with capacity 16,\nan edge from node 9 to node 0 with capacity 15,\nan edge from node 9 to node 7 with capacity 13,\nan edge from node 9 to node 6 with capacity 8,\nan edge from node 10 to node 9 with capacity 12,\nan edge from node 10 to node 12 with capacity 17,\nan edge from node 10 to node 2 with capacity 14,\nan edge from node 11 to node 10 with capacity 20,\nan edge from node 11 to node 1 with capacity 15,\nan edge from node 11 to node 9 with capacity 5,\nan edge from node 11 to node 7 with capacity 20,\nan edge from node 11 to node 2 with capacity 18,\nan edge from node 12 to node 10 with capacity 13,\nan edge from node 12 to node 5 with capacity 8,\nan edge from node 12 to node 1 with capacity 6,\nan edge from node 12 to node 0 with capacity 11,\nan edge from node 12 to node 8 with capacity 9,\nan edge from node 12 to node 6 with capacity 4,\nWhat is the maximum flow from node 9 to node 0:"
            },
            {
                "from": "gpt",
                "value": "31."
            }
        ]
    },
    {
        "id": "flow-hard-graph939",
        "image": "data/flow/graph_visual/hard/graph939.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 9 with capacity 15,\nan edge from node 0 to node 10 with capacity 19,\nan edge from node 1 to node 0 with capacity 1,\nan edge from node 1 to node 5 with capacity 19,\nan edge from node 2 to node 8 with capacity 14,\nan edge from node 2 to node 13 with capacity 20,\nan edge from node 3 to node 7 with capacity 10,\nan edge from node 3 to node 12 with capacity 12,\nan edge from node 3 to node 13 with capacity 5,\nan edge from node 3 to node 4 with capacity 16,\nan edge from node 3 to node 0 with capacity 12,\nan edge from node 3 to node 17 with capacity 5,\nan edge from node 4 to node 7 with capacity 17,\nan edge from node 4 to node 2 with capacity 12,\nan edge from node 4 to node 14 with capacity 10,\nan edge from node 4 to node 3 with capacity 5,\nan edge from node 4 to node 17 with capacity 18,\nan edge from node 4 to node 11 with capacity 18,\nan edge from node 5 to node 12 with capacity 18,\nan edge from node 5 to node 14 with capacity 8,\nan edge from node 5 to node 6 with capacity 8,\nan edge from node 5 to node 0 with capacity 15,\nan edge from node 5 to node 16 with capacity 14,\nan edge from node 6 to node 8 with capacity 2,\nan edge from node 6 to node 13 with capacity 13,\nan edge from node 6 to node 4 with capacity 18,\nan edge from node 6 to node 5 with capacity 3,\nan edge from node 7 to node 13 with capacity 19,\nan edge from node 7 to node 6 with capacity 13,\nan edge from node 7 to node 11 with capacity 18,\nan edge from node 8 to node 2 with capacity 16,\nan edge from node 8 to node 10 with capacity 16,\nan edge from node 9 to node 12 with capacity 8,\nan edge from node 9 to node 14 with capacity 16,\nan edge from node 9 to node 3 with capacity 20,\nan edge from node 9 to node 10 with capacity 7,\nan edge from node 10 to node 7 with capacity 16,\nan edge from node 10 to node 9 with capacity 12,\nan edge from node 10 to node 13 with capacity 15,\nan edge from node 10 to node 0 with capacity 11,\nan edge from node 10 to node 17 with capacity 18,\nan edge from node 10 to node 16 with capacity 4,\nan edge from node 11 to node 7 with capacity 16,\nan edge from node 11 to node 12 with capacity 17,\nan edge from node 11 to node 13 with capacity 7,\nan edge from node 11 to node 10 with capacity 2,\nan edge from node 11 to node 6 with capacity 7,\nan edge from node 11 to node 1 with capacity 19,\nan edge from node 11 to node 0 with capacity 1,\nan edge from node 11 to node 17 with capacity 7,\nan edge from node 12 to node 2 with capacity 19,\nan edge from node 12 to node 6 with capacity 18,\nan edge from node 12 to node 17 with capacity 14,\nan edge from node 12 to node 11 with capacity 15,\nan edge from node 13 to node 7 with capacity 16,\nan edge from node 13 to node 12 with capacity 7,\nan edge from node 13 to node 2 with capacity 18,\nan edge from node 13 to node 9 with capacity 12,\nan edge from node 13 to node 10 with capacity 12,\nan edge from node 13 to node 4 with capacity 5,\nan edge from node 13 to node 0 with capacity 5,\nan edge from node 13 to node 5 with capacity 8,\nan edge from node 14 to node 9 with capacity 4,\nan edge from node 14 to node 15 with capacity 2,\nan edge from node 14 to node 3 with capacity 7,\nan edge from node 14 to node 4 with capacity 19,\nan edge from node 14 to node 5 with capacity 18,\nan edge from node 15 to node 8 with capacity 4,\nan edge from node 15 to node 14 with capacity 8,\nan edge from node 15 to node 6 with capacity 17,\nan edge from node 15 to node 17 with capacity 9,\nan edge from node 15 to node 11 with capacity 11,\nan edge from node 15 to node 16 with capacity 7,\nan edge from node 16 to node 2 with capacity 19,\nan edge from node 16 to node 17 with capacity 12,\nan edge from node 17 to node 12 with capacity 2,\nan edge from node 17 to node 14 with capacity 5,\nan edge from node 17 to node 15 with capacity 11,\nan edge from node 17 to node 3 with capacity 9,\nan edge from node 17 to node 10 with capacity 15,\nan edge from node 17 to node 6 with capacity 10,\nWhat is the maximum flow from node 9 to node 3:"
            },
            {
                "from": "gpt",
                "value": "41."
            }
        ]
    },
    {
        "id": "flow-hard-graph179",
        "image": "data/flow/graph_visual/hard/graph179.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 8 with capacity 4,\nan edge from node 0 to node 2 with capacity 2,\nan edge from node 0 to node 1 with capacity 8,\nan edge from node 0 to node 4 with capacity 20,\nan edge from node 0 to node 10 with capacity 18,\nan edge from node 1 to node 4 with capacity 16,\nan edge from node 2 to node 9 with capacity 16,\nan edge from node 2 to node 5 with capacity 10,\nan edge from node 2 to node 1 with capacity 12,\nan edge from node 3 to node 8 with capacity 10,\nan edge from node 3 to node 9 with capacity 8,\nan edge from node 3 to node 0 with capacity 10,\nan edge from node 4 to node 7 with capacity 16,\nan edge from node 4 to node 0 with capacity 4,\nan edge from node 6 to node 8 with capacity 9,\nan edge from node 6 to node 0 with capacity 7,\nan edge from node 6 to node 5 with capacity 9,\nan edge from node 6 to node 3 with capacity 14,\nan edge from node 6 to node 11 with capacity 16,\nan edge from node 7 to node 8 with capacity 12,\nan edge from node 7 to node 10 with capacity 5,\nan edge from node 8 to node 9 with capacity 14,\nan edge from node 8 to node 0 with capacity 10,\nan edge from node 8 to node 3 with capacity 8,\nan edge from node 9 to node 8 with capacity 14,\nan edge from node 9 to node 2 with capacity 10,\nan edge from node 10 to node 2 with capacity 15,\nan edge from node 10 to node 0 with capacity 15,\nan edge from node 11 to node 0 with capacity 16,\nan edge from node 11 to node 5 with capacity 8,\nan edge from node 11 to node 3 with capacity 2,\nWhat is the maximum flow from node 2 to node 0:"
            },
            {
                "from": "gpt",
                "value": "26."
            }
        ]
    },
    {
        "id": "flow-hard-graph9",
        "image": "data/flow/graph_visual/hard/graph9.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 1 with capacity 15,\nan edge from node 0 to node 8 with capacity 19,\nan edge from node 0 to node 3 with capacity 3,\nan edge from node 0 to node 9 with capacity 5,\nan edge from node 0 to node 2 with capacity 5,\nan edge from node 1 to node 10 with capacity 4,\nan edge from node 2 to node 5 with capacity 4,\nan edge from node 3 to node 6 with capacity 6,\nan edge from node 3 to node 8 with capacity 20,\nan edge from node 3 to node 5 with capacity 8,\nan edge from node 4 to node 8 with capacity 14,\nan edge from node 4 to node 2 with capacity 18,\nan edge from node 5 to node 0 with capacity 13,\nan edge from node 5 to node 6 with capacity 13,\nan edge from node 6 to node 8 with capacity 1,\nan edge from node 6 to node 9 with capacity 18,\nan edge from node 7 to node 6 with capacity 15,\nan edge from node 7 to node 8 with capacity 9,\nan edge from node 7 to node 5 with capacity 12,\nan edge from node 8 to node 1 with capacity 20,\nan edge from node 9 to node 0 with capacity 7,\nan edge from node 9 to node 7 with capacity 17,\nan edge from node 9 to node 8 with capacity 15,\nan edge from node 9 to node 4 with capacity 8,\nan edge from node 9 to node 5 with capacity 15,\nan edge from node 9 to node 2 with capacity 19,\nan edge from node 9 to node 10 with capacity 19,\nan edge from node 10 to node 6 with capacity 12,\nan edge from node 10 to node 3 with capacity 3,\nan edge from node 10 to node 5 with capacity 20,\nan edge from node 10 to node 2 with capacity 10,\nWhat is the maximum flow from node 3 to node 10:"
            },
            {
                "from": "gpt",
                "value": "18."
            }
        ]
    },
    {
        "id": "flow-hard-graph429",
        "image": "data/flow/graph_visual/hard/graph429.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 12 with capacity 8,\nan edge from node 0 to node 10 with capacity 11,\nan edge from node 1 to node 3 with capacity 18,\nan edge from node 2 to node 10 with capacity 13,\nan edge from node 2 to node 8 with capacity 20,\nan edge from node 3 to node 11 with capacity 12,\nan edge from node 3 to node 5 with capacity 14,\nan edge from node 4 to node 12 with capacity 15,\nan edge from node 4 to node 9 with capacity 16,\nan edge from node 4 to node 10 with capacity 15,\nan edge from node 5 to node 3 with capacity 11,\nan edge from node 5 to node 13 with capacity 9,\nan edge from node 6 to node 12 with capacity 17,\nan edge from node 6 to node 11 with capacity 2,\nan edge from node 6 to node 4 with capacity 7,\nan edge from node 7 to node 6 with capacity 8,\nan edge from node 7 to node 0 with capacity 7,\nan edge from node 7 to node 3 with capacity 4,\nan edge from node 7 to node 5 with capacity 11,\nan edge from node 7 to node 13 with capacity 12,\nan edge from node 7 to node 4 with capacity 18,\nan edge from node 8 to node 0 with capacity 13,\nan edge from node 8 to node 3 with capacity 3,\nan edge from node 8 to node 10 with capacity 19,\nan edge from node 9 to node 6 with capacity 14,\nan edge from node 9 to node 11 with capacity 10,\nan edge from node 9 to node 13 with capacity 19,\nan edge from node 10 to node 0 with capacity 7,\nan edge from node 10 to node 9 with capacity 7,\nan edge from node 10 to node 3 with capacity 13,\nan edge from node 10 to node 11 with capacity 10,\nan edge from node 11 to node 7 with capacity 11,\nan edge from node 11 to node 0 with capacity 7,\nan edge from node 11 to node 3 with capacity 15,\nan edge from node 11 to node 2 with capacity 15,\nan edge from node 11 to node 13 with capacity 4,\nan edge from node 12 to node 7 with capacity 18,\nan edge from node 12 to node 5 with capacity 19,\nan edge from node 13 to node 6 with capacity 10,\nan edge from node 13 to node 7 with capacity 2,\nan edge from node 13 to node 1 with capacity 12,\nan edge from node 13 to node 3 with capacity 8,\nan edge from node 13 to node 2 with capacity 3,\nan edge from node 13 to node 10 with capacity 11,\nWhat is the maximum flow from node 11 to node 6:"
            },
            {
                "from": "gpt",
                "value": "32."
            }
        ]
    },
    {
        "id": "flow-hard-graph838",
        "image": "data/flow/graph_visual/hard/graph838.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 6 with capacity 13,\nan edge from node 0 to node 3 with capacity 12,\nan edge from node 1 to node 3 with capacity 16,\nan edge from node 2 to node 4 with capacity 19,\nan edge from node 2 to node 0 with capacity 13,\nan edge from node 2 to node 1 with capacity 17,\nan edge from node 2 to node 11 with capacity 12,\nan edge from node 2 to node 5 with capacity 1,\nan edge from node 2 to node 8 with capacity 5,\nan edge from node 2 to node 10 with capacity 12,\nan edge from node 3 to node 0 with capacity 8,\nan edge from node 3 to node 7 with capacity 11,\nan edge from node 3 to node 11 with capacity 9,\nan edge from node 3 to node 10 with capacity 5,\nan edge from node 4 to node 1 with capacity 16,\nan edge from node 4 to node 9 with capacity 12,\nan edge from node 4 to node 2 with capacity 9,\nan edge from node 4 to node 10 with capacity 13,\nan edge from node 4 to node 13 with capacity 8,\nan edge from node 5 to node 14 with capacity 5,\nan edge from node 5 to node 8 with capacity 18,\nan edge from node 6 to node 7 with capacity 10,\nan edge from node 6 to node 16 with capacity 8,\nan edge from node 6 to node 14 with capacity 13,\nan edge from node 6 to node 5 with capacity 5,\nan edge from node 6 to node 3 with capacity 13,\nan edge from node 7 to node 4 with capacity 4,\nan edge from node 7 to node 3 with capacity 6,\nan edge from node 8 to node 1 with capacity 11,\nan edge from node 8 to node 2 with capacity 1,\nan edge from node 8 to node 5 with capacity 10,\nan edge from node 9 to node 16 with capacity 9,\nan edge from node 9 to node 2 with capacity 16,\nan edge from node 9 to node 3 with capacity 8,\nan edge from node 9 to node 13 with capacity 6,\nan edge from node 10 to node 6 with capacity 8,\nan edge from node 10 to node 1 with capacity 13,\nan edge from node 10 to node 11 with capacity 1,\nan edge from node 10 to node 9 with capacity 10,\nan edge from node 10 to node 3 with capacity 16,\nan edge from node 10 to node 13 with capacity 12,\nan edge from node 11 to node 1 with capacity 9,\nan edge from node 11 to node 16 with capacity 1,\nan edge from node 12 to node 15 with capacity 14,\nan edge from node 12 to node 6 with capacity 17,\nan edge from node 12 to node 2 with capacity 14,\nan edge from node 12 to node 3 with capacity 8,\nan edge from node 13 to node 0 with capacity 12,\nan edge from node 13 to node 16 with capacity 10,\nan edge from node 13 to node 3 with capacity 7,\nan edge from node 14 to node 15 with capacity 5,\nan edge from node 14 to node 0 with capacity 2,\nan edge from node 14 to node 6 with capacity 9,\nan edge from node 14 to node 9 with capacity 10,\nan edge from node 14 to node 2 with capacity 5,\nan edge from node 14 to node 5 with capacity 3,\nan edge from node 14 to node 13 with capacity 11,\nan edge from node 15 to node 7 with capacity 7,\nan edge from node 15 to node 9 with capacity 9,\nan edge from node 15 to node 3 with capacity 20,\nan edge from node 16 to node 4 with capacity 11,\nan edge from node 16 to node 0 with capacity 6,\nan edge from node 16 to node 6 with capacity 3,\nWhat is the maximum flow from node 16 to node 2:"
            },
            {
                "from": "gpt",
                "value": "20."
            }
        ]
    },
    {
        "id": "flow-hard-graph963",
        "image": "data/flow/graph_visual/hard/graph963.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 5 with capacity 20,\nan edge from node 0 to node 15 with capacity 11,\nan edge from node 0 to node 12 with capacity 12,\nan edge from node 0 to node 14 with capacity 12,\nan edge from node 1 to node 9 with capacity 2,\nan edge from node 1 to node 12 with capacity 12,\nan edge from node 1 to node 17 with capacity 6,\nan edge from node 1 to node 14 with capacity 14,\nan edge from node 2 to node 9 with capacity 9,\nan edge from node 2 to node 4 with capacity 15,\nan edge from node 2 to node 8 with capacity 3,\nan edge from node 3 to node 18 with capacity 3,\nan edge from node 3 to node 15 with capacity 2,\nan edge from node 3 to node 4 with capacity 13,\nan edge from node 3 to node 7 with capacity 13,\nan edge from node 3 to node 14 with capacity 3,\nan edge from node 3 to node 10 with capacity 1,\nan edge from node 4 to node 12 with capacity 6,\nan edge from node 4 to node 14 with capacity 1,\nan edge from node 5 to node 8 with capacity 12,\nan edge from node 5 to node 14 with capacity 2,\nan edge from node 5 to node 10 with capacity 12,\nan edge from node 6 to node 11 with capacity 16,\nan edge from node 6 to node 9 with capacity 14,\nan edge from node 6 to node 7 with capacity 16,\nan edge from node 6 to node 17 with capacity 17,\nan edge from node 6 to node 10 with capacity 7,\nan edge from node 7 to node 11 with capacity 1,\nan edge from node 7 to node 3 with capacity 14,\nan edge from node 8 to node 6 with capacity 8,\nan edge from node 8 to node 11 with capacity 6,\nan edge from node 8 to node 3 with capacity 2,\nan edge from node 8 to node 9 with capacity 10,\nan edge from node 8 to node 10 with capacity 5,\nan edge from node 9 to node 16 with capacity 17,\nan edge from node 9 to node 5 with capacity 3,\nan edge from node 9 to node 3 with capacity 12,\nan edge from node 9 to node 15 with capacity 8,\nan edge from node 9 to node 8 with capacity 5,\nan edge from node 9 to node 13 with capacity 16,\nan edge from node 10 to node 3 with capacity 11,\nan edge from node 10 to node 4 with capacity 16,\nan edge from node 10 to node 17 with capacity 6,\nan edge from node 10 to node 14 with capacity 4,\nan edge from node 11 to node 6 with capacity 13,\nan edge from node 11 to node 16 with capacity 19,\nan edge from node 11 to node 3 with capacity 3,\nan edge from node 11 to node 8 with capacity 19,\nan edge from node 11 to node 0 with capacity 6,\nan edge from node 12 to node 2 with capacity 13,\nan edge from node 12 to node 5 with capacity 5,\nan edge from node 12 to node 7 with capacity 12,\nan edge from node 12 to node 14 with capacity 4,\nan edge from node 13 to node 1 with capacity 18,\nan edge from node 13 to node 5 with capacity 13,\nan edge from node 13 to node 12 with capacity 17,\nan edge from node 14 to node 18 with capacity 4,\nan edge from node 14 to node 2 with capacity 1,\nan edge from node 14 to node 16 with capacity 7,\nan edge from node 14 to node 4 with capacity 8,\nan edge from node 14 to node 12 with capacity 11,\nan edge from node 14 to node 10 with capacity 4,\nan edge from node 15 to node 9 with capacity 10,\nan edge from node 15 to node 8 with capacity 15,\nan edge from node 15 to node 0 with capacity 11,\nan edge from node 16 to node 11 with capacity 2,\nan edge from node 16 to node 12 with capacity 20,\nan edge from node 16 to node 8 with capacity 5,\nan edge from node 17 to node 12 with capacity 8,\nan edge from node 17 to node 7 with capacity 20,\nan edge from node 17 to node 8 with capacity 3,\nan edge from node 18 to node 6 with capacity 9,\nan edge from node 18 to node 5 with capacity 20,\nan edge from node 18 to node 3 with capacity 6,\nan edge from node 18 to node 4 with capacity 17,\nWhat is the maximum flow from node 6 to node 16:"
            },
            {
                "from": "gpt",
                "value": "43."
            }
        ]
    },
    {
        "id": "flow-hard-graph1114",
        "image": "data/flow/graph_visual/hard/graph1114.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 19 with capacity 14,\nan edge from node 0 to node 17 with capacity 6,\nan edge from node 0 to node 1 with capacity 4,\nan edge from node 0 to node 11 with capacity 3,\nan edge from node 0 to node 2 with capacity 15,\nan edge from node 1 to node 15 with capacity 3,\nan edge from node 1 to node 19 with capacity 9,\nan edge from node 1 to node 17 with capacity 6,\nan edge from node 1 to node 14 with capacity 2,\nan edge from node 1 to node 10 with capacity 10,\nan edge from node 1 to node 18 with capacity 9,\nan edge from node 1 to node 11 with capacity 10,\nan edge from node 1 to node 9 with capacity 11,\nan edge from node 2 to node 0 with capacity 12,\nan edge from node 2 to node 1 with capacity 7,\nan edge from node 2 to node 7 with capacity 9,\nan edge from node 2 to node 13 with capacity 4,\nan edge from node 3 to node 15 with capacity 2,\nan edge from node 3 to node 0 with capacity 3,\nan edge from node 3 to node 4 with capacity 6,\nan edge from node 3 to node 10 with capacity 13,\nan edge from node 3 to node 18 with capacity 6,\nan edge from node 3 to node 7 with capacity 2,\nan edge from node 3 to node 11 with capacity 19,\nan edge from node 3 to node 12 with capacity 11,\nan edge from node 4 to node 3 with capacity 19,\nan edge from node 4 to node 5 with capacity 10,\nan edge from node 4 to node 16 with capacity 15,\nan edge from node 4 to node 12 with capacity 5,\nan edge from node 5 to node 15 with capacity 14,\nan edge from node 5 to node 18 with capacity 1,\nan edge from node 5 to node 7 with capacity 6,\nan edge from node 6 to node 15 with capacity 20,\nan edge from node 6 to node 0 with capacity 2,\nan edge from node 6 to node 10 with capacity 15,\nan edge from node 6 to node 1 with capacity 14,\nan edge from node 6 to node 12 with capacity 4,\nan edge from node 6 to node 8 with capacity 5,\nan edge from node 6 to node 9 with capacity 4,\nan edge from node 7 to node 0 with capacity 15,\nan edge from node 7 to node 10 with capacity 20,\nan edge from node 7 to node 5 with capacity 1,\nan edge from node 7 to node 18 with capacity 6,\nan edge from node 8 to node 17 with capacity 4,\nan edge from node 8 to node 0 with capacity 3,\nan edge from node 8 to node 3 with capacity 16,\nan edge from node 8 to node 5 with capacity 13,\nan edge from node 8 to node 11 with capacity 10,\nan edge from node 8 to node 13 with capacity 11,\nan edge from node 8 to node 16 with capacity 3,\nan edge from node 9 to node 0 with capacity 2,\nan edge from node 9 to node 14 with capacity 10,\nan edge from node 9 to node 6 with capacity 5,\nan edge from node 10 to node 15 with capacity 19,\nan edge from node 10 to node 19 with capacity 15,\nan edge from node 10 to node 4 with capacity 5,\nan edge from node 10 to node 14 with capacity 2,\nan edge from node 11 to node 17 with capacity 15,\nan edge from node 11 to node 0 with capacity 18,\nan edge from node 11 to node 4 with capacity 11,\nan edge from node 11 to node 10 with capacity 8,\nan edge from node 11 to node 18 with capacity 6,\nan edge from node 11 to node 12 with capacity 16,\nan edge from node 11 to node 6 with capacity 5,\nan edge from node 12 to node 17 with capacity 8,\nan edge from node 12 to node 1 with capacity 16,\nan edge from node 12 to node 7 with capacity 1,\nan edge from node 12 to node 11 with capacity 10,\nan edge from node 12 to node 8 with capacity 11,\nan edge from node 13 to node 15 with capacity 1,\nan edge from node 13 to node 0 with capacity 13,\nan edge from node 13 to node 14 with capacity 5,\nan edge from node 13 to node 16 with capacity 20,\nan edge from node 13 to node 12 with capacity 19,\nan edge from node 13 to node 6 with capacity 12,\nan edge from node 14 to node 17 with capacity 7,\nan edge from node 14 to node 3 with capacity 4,\nan edge from node 14 to node 10 with capacity 13,\nan edge from node 14 to node 5 with capacity 8,\nan edge from node 14 to node 1 with capacity 4,\nan edge from node 14 to node 8 with capacity 16,\nan edge from node 14 to node 9 with capacity 12,\nan edge from node 15 to node 3 with capacity 2,\nan edge from node 15 to node 18 with capacity 20,\nan edge from node 15 to node 13 with capacity 17,\nan edge from node 15 to node 9 with capacity 3,\nan edge from node 16 to node 11 with capacity 13,\nan edge from node 17 to node 19 with capacity 13,\nan edge from node 17 to node 18 with capacity 13,\nan edge from node 17 to node 11 with capacity 5,\nan edge from node 17 to node 2 with capacity 2,\nan edge from node 18 to node 19 with capacity 7,\nan edge from node 18 to node 17 with capacity 8,\nan edge from node 18 to node 5 with capacity 17,\nan edge from node 18 to node 16 with capacity 17,\nan edge from node 18 to node 8 with capacity 6,\nan edge from node 19 to node 10 with capacity 16,\nan edge from node 19 to node 5 with capacity 1,\nan edge from node 19 to node 1 with capacity 18,\nan edge from node 19 to node 13 with capacity 5,\nan edge from node 19 to node 2 with capacity 9,\nWhat is the maximum flow from node 5 to node 9:"
            },
            {
                "from": "gpt",
                "value": "21."
            }
        ]
    },
    {
        "id": "flow-hard-graph968",
        "image": "data/flow/graph_visual/hard/graph968.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 18 with capacity 5,\nan edge from node 0 to node 12 with capacity 18,\nan edge from node 0 to node 17 with capacity 3,\nan edge from node 0 to node 14 with capacity 10,\nan edge from node 0 to node 15 with capacity 19,\nan edge from node 0 to node 16 with capacity 16,\nan edge from node 0 to node 13 with capacity 4,\nan edge from node 1 to node 7 with capacity 18,\nan edge from node 1 to node 0 with capacity 18,\nan edge from node 1 to node 6 with capacity 11,\nan edge from node 1 to node 12 with capacity 2,\nan edge from node 2 to node 7 with capacity 13,\nan edge from node 2 to node 3 with capacity 18,\nan edge from node 2 to node 18 with capacity 10,\nan edge from node 2 to node 9 with capacity 5,\nan edge from node 2 to node 6 with capacity 15,\nan edge from node 2 to node 17 with capacity 1,\nan edge from node 2 to node 5 with capacity 2,\nan edge from node 2 to node 13 with capacity 18,\nan edge from node 3 to node 1 with capacity 4,\nan edge from node 3 to node 18 with capacity 2,\nan edge from node 3 to node 9 with capacity 8,\nan edge from node 3 to node 6 with capacity 8,\nan edge from node 3 to node 15 with capacity 13,\nan edge from node 3 to node 8 with capacity 3,\nan edge from node 4 to node 1 with capacity 2,\nan edge from node 4 to node 10 with capacity 15,\nan edge from node 4 to node 9 with capacity 3,\nan edge from node 4 to node 6 with capacity 3,\nan edge from node 4 to node 2 with capacity 2,\nan edge from node 4 to node 11 with capacity 1,\nan edge from node 4 to node 17 with capacity 7,\nan edge from node 4 to node 5 with capacity 19,\nan edge from node 5 to node 18 with capacity 20,\nan edge from node 5 to node 10 with capacity 12,\nan edge from node 5 to node 12 with capacity 2,\nan edge from node 5 to node 2 with capacity 6,\nan edge from node 5 to node 17 with capacity 13,\nan edge from node 5 to node 15 with capacity 7,\nan edge from node 5 to node 4 with capacity 1,\nan edge from node 5 to node 8 with capacity 12,\nan edge from node 6 to node 7 with capacity 15,\nan edge from node 6 to node 9 with capacity 2,\nan edge from node 6 to node 12 with capacity 5,\nan edge from node 6 to node 8 with capacity 19,\nan edge from node 7 to node 2 with capacity 7,\nan edge from node 7 to node 14 with capacity 6,\nan edge from node 7 to node 16 with capacity 13,\nan edge from node 8 to node 7 with capacity 5,\nan edge from node 8 to node 9 with capacity 10,\nan edge from node 8 to node 17 with capacity 18,\nan edge from node 8 to node 13 with capacity 3,\nan edge from node 9 to node 0 with capacity 11,\nan edge from node 9 to node 6 with capacity 11,\nan edge from node 9 to node 4 with capacity 16,\nan edge from node 10 to node 6 with capacity 13,\nan edge from node 10 to node 12 with capacity 10,\nan edge from node 10 to node 11 with capacity 16,\nan edge from node 10 to node 17 with capacity 1,\nan edge from node 10 to node 16 with capacity 10,\nan edge from node 11 to node 3 with capacity 8,\nan edge from node 11 to node 18 with capacity 19,\nan edge from node 11 to node 0 with capacity 5,\nan edge from node 11 to node 12 with capacity 18,\nan edge from node 11 to node 14 with capacity 8,\nan edge from node 11 to node 4 with capacity 11,\nan edge from node 12 to node 10 with capacity 3,\nan edge from node 12 to node 9 with capacity 20,\nan edge from node 12 to node 6 with capacity 11,\nan edge from node 12 to node 14 with capacity 12,\nan edge from node 12 to node 15 with capacity 19,\nan edge from node 12 to node 4 with capacity 2,\nan edge from node 12 to node 8 with capacity 3,\nan edge from node 13 to node 18 with capacity 11,\nan edge from node 13 to node 9 with capacity 3,\nan edge from node 13 to node 15 with capacity 12,\nan edge from node 13 to node 4 with capacity 19,\nan edge from node 13 to node 5 with capacity 11,\nan edge from node 14 to node 3 with capacity 4,\nan edge from node 14 to node 10 with capacity 14,\nan edge from node 14 to node 4 with capacity 14,\nan edge from node 14 to node 13 with capacity 3,\nan edge from node 15 to node 7 with capacity 8,\nan edge from node 15 to node 1 with capacity 20,\nan edge from node 15 to node 3 with capacity 3,\nan edge from node 15 to node 2 with capacity 10,\nan edge from node 15 to node 16 with capacity 12,\nan edge from node 15 to node 8 with capacity 7,\nan edge from node 16 to node 0 with capacity 4,\nan edge from node 17 to node 3 with capacity 4,\nan edge from node 17 to node 0 with capacity 20,\nan edge from node 17 to node 14 with capacity 18,\nan edge from node 18 to node 12 with capacity 5,\nan edge from node 18 to node 2 with capacity 14,\nan edge from node 18 to node 15 with capacity 8,\nan edge from node 18 to node 4 with capacity 6,\nan edge from node 18 to node 8 with capacity 8,\nWhat is the maximum flow from node 8 to node 1:"
            },
            {
                "from": "gpt",
                "value": "26."
            }
        ]
    },
    {
        "id": "flow-hard-graph1005",
        "image": "data/flow/graph_visual/hard/graph1005.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 8 with capacity 10,\nan edge from node 0 to node 12 with capacity 2,\nan edge from node 0 to node 5 with capacity 16,\nan edge from node 0 to node 2 with capacity 13,\nan edge from node 0 to node 15 with capacity 4,\nan edge from node 0 to node 1 with capacity 19,\nan edge from node 1 to node 5 with capacity 18,\nan edge from node 1 to node 17 with capacity 8,\nan edge from node 1 to node 11 with capacity 16,\nan edge from node 1 to node 2 with capacity 19,\nan edge from node 1 to node 14 with capacity 19,\nan edge from node 2 to node 0 with capacity 5,\nan edge from node 2 to node 4 with capacity 4,\nan edge from node 3 to node 18 with capacity 17,\nan edge from node 3 to node 10 with capacity 3,\nan edge from node 3 to node 17 with capacity 10,\nan edge from node 3 to node 9 with capacity 11,\nan edge from node 3 to node 7 with capacity 8,\nan edge from node 3 to node 14 with capacity 19,\nan edge from node 4 to node 18 with capacity 1,\nan edge from node 4 to node 17 with capacity 20,\nan edge from node 4 to node 9 with capacity 15,\nan edge from node 5 to node 17 with capacity 5,\nan edge from node 5 to node 7 with capacity 15,\nan edge from node 5 to node 16 with capacity 10,\nan edge from node 5 to node 1 with capacity 15,\nan edge from node 6 to node 8 with capacity 19,\nan edge from node 6 to node 0 with capacity 16,\nan edge from node 6 to node 3 with capacity 9,\nan edge from node 6 to node 15 with capacity 1,\nan edge from node 6 to node 14 with capacity 20,\nan edge from node 6 to node 13 with capacity 12,\nan edge from node 7 to node 18 with capacity 14,\nan edge from node 7 to node 8 with capacity 17,\nan edge from node 7 to node 9 with capacity 15,\nan edge from node 7 to node 16 with capacity 1,\nan edge from node 7 to node 4 with capacity 5,\nan edge from node 8 to node 18 with capacity 13,\nan edge from node 8 to node 5 with capacity 18,\nan edge from node 8 to node 0 with capacity 17,\nan edge from node 8 to node 9 with capacity 17,\nan edge from node 8 to node 11 with capacity 11,\nan edge from node 9 to node 8 with capacity 5,\nan edge from node 9 to node 12 with capacity 17,\nan edge from node 9 to node 10 with capacity 20,\nan edge from node 9 to node 7 with capacity 16,\nan edge from node 9 to node 2 with capacity 9,\nan edge from node 9 to node 4 with capacity 15,\nan edge from node 9 to node 13 with capacity 8,\nan edge from node 10 to node 18 with capacity 5,\nan edge from node 10 to node 9 with capacity 9,\nan edge from node 10 to node 3 with capacity 3,\nan edge from node 10 to node 4 with capacity 4,\nan edge from node 10 to node 14 with capacity 17,\nan edge from node 10 to node 13 with capacity 19,\nan edge from node 11 to node 10 with capacity 18,\nan edge from node 11 to node 3 with capacity 7,\nan edge from node 11 to node 16 with capacity 10,\nan edge from node 11 to node 4 with capacity 8,\nan edge from node 12 to node 15 with capacity 3,\nan edge from node 12 to node 1 with capacity 12,\nan edge from node 12 to node 14 with capacity 8,\nan edge from node 13 to node 1 with capacity 18,\nan edge from node 13 to node 14 with capacity 17,\nan edge from node 14 to node 12 with capacity 2,\nan edge from node 15 to node 17 with capacity 1,\nan edge from node 16 to node 9 with capacity 7,\nan edge from node 16 to node 3 with capacity 9,\nan edge from node 16 to node 13 with capacity 17,\nan edge from node 17 to node 12 with capacity 2,\nan edge from node 17 to node 10 with capacity 1,\nan edge from node 17 to node 0 with capacity 19,\nan edge from node 17 to node 9 with capacity 12,\nan edge from node 17 to node 7 with capacity 18,\nan edge from node 18 to node 12 with capacity 2,\nan edge from node 18 to node 9 with capacity 4,\nan edge from node 18 to node 11 with capacity 12,\nan edge from node 18 to node 4 with capacity 9,\nWhat is the maximum flow from node 8 to node 6:"
            },
            {
                "from": "gpt",
                "value": "0."
            }
        ]
    },
    {
        "id": "flow-hard-graph1052",
        "image": "data/flow/graph_visual/hard/graph1052.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 11 with capacity 7,\nan edge from node 0 to node 5 with capacity 15,\nan edge from node 0 to node 10 with capacity 16,\nan edge from node 0 to node 2 with capacity 13,\nan edge from node 0 to node 18 with capacity 9,\nan edge from node 1 to node 6 with capacity 15,\nan edge from node 1 to node 9 with capacity 5,\nan edge from node 2 to node 6 with capacity 17,\nan edge from node 2 to node 3 with capacity 20,\nan edge from node 2 to node 9 with capacity 4,\nan edge from node 2 to node 1 with capacity 18,\nan edge from node 2 to node 0 with capacity 2,\nan edge from node 3 to node 6 with capacity 4,\nan edge from node 3 to node 9 with capacity 18,\nan edge from node 3 to node 5 with capacity 6,\nan edge from node 3 to node 10 with capacity 5,\nan edge from node 4 to node 13 with capacity 12,\nan edge from node 4 to node 6 with capacity 17,\nan edge from node 4 to node 11 with capacity 7,\nan edge from node 4 to node 9 with capacity 7,\nan edge from node 4 to node 16 with capacity 10,\nan edge from node 4 to node 1 with capacity 20,\nan edge from node 4 to node 10 with capacity 17,\nan edge from node 4 to node 18 with capacity 13,\nan edge from node 5 to node 13 with capacity 8,\nan edge from node 5 to node 11 with capacity 20,\nan edge from node 5 to node 16 with capacity 4,\nan edge from node 6 to node 13 with capacity 3,\nan edge from node 6 to node 11 with capacity 5,\nan edge from node 6 to node 9 with capacity 1,\nan edge from node 6 to node 15 with capacity 17,\nan edge from node 6 to node 12 with capacity 17,\nan edge from node 7 to node 13 with capacity 11,\nan edge from node 7 to node 16 with capacity 14,\nan edge from node 7 to node 8 with capacity 12,\nan edge from node 7 to node 4 with capacity 9,\nan edge from node 7 to node 12 with capacity 3,\nan edge from node 8 to node 1 with capacity 7,\nan edge from node 8 to node 17 with capacity 1,\nan edge from node 8 to node 5 with capacity 19,\nan edge from node 8 to node 18 with capacity 17,\nan edge from node 9 to node 6 with capacity 16,\nan edge from node 9 to node 8 with capacity 6,\nan edge from node 9 to node 7 with capacity 2,\nan edge from node 9 to node 12 with capacity 7,\nan edge from node 10 to node 11 with capacity 8,\nan edge from node 10 to node 14 with capacity 14,\nan edge from node 10 to node 17 with capacity 5,\nan edge from node 10 to node 12 with capacity 20,\nan edge from node 11 to node 6 with capacity 20,\nan edge from node 11 to node 1 with capacity 15,\nan edge from node 11 to node 5 with capacity 8,\nan edge from node 11 to node 18 with capacity 2,\nan edge from node 12 to node 15 with capacity 5,\nan edge from node 13 to node 3 with capacity 8,\nan edge from node 13 to node 16 with capacity 13,\nan edge from node 13 to node 1 with capacity 15,\nan edge from node 13 to node 17 with capacity 19,\nan edge from node 13 to node 5 with capacity 4,\nan edge from node 13 to node 10 with capacity 6,\nan edge from node 14 to node 3 with capacity 8,\nan edge from node 14 to node 8 with capacity 6,\nan edge from node 14 to node 1 with capacity 10,\nan edge from node 14 to node 10 with capacity 8,\nan edge from node 15 to node 3 with capacity 10,\nan edge from node 15 to node 8 with capacity 8,\nan edge from node 15 to node 17 with capacity 4,\nan edge from node 15 to node 2 with capacity 6,\nan edge from node 15 to node 7 with capacity 19,\nan edge from node 16 to node 6 with capacity 4,\nan edge from node 16 to node 1 with capacity 19,\nan edge from node 16 to node 10 with capacity 15,\nan edge from node 17 to node 13 with capacity 3,\nan edge from node 17 to node 6 with capacity 6,\nan edge from node 17 to node 16 with capacity 15,\nan edge from node 17 to node 8 with capacity 1,\nan edge from node 17 to node 0 with capacity 3,\nan edge from node 17 to node 2 with capacity 13,\nan edge from node 17 to node 12 with capacity 15,\nan edge from node 18 to node 6 with capacity 4,\nan edge from node 18 to node 11 with capacity 10,\nan edge from node 18 to node 3 with capacity 14,\nan edge from node 18 to node 9 with capacity 2,\nan edge from node 18 to node 17 with capacity 15,\nan edge from node 18 to node 15 with capacity 3,\nan edge from node 18 to node 4 with capacity 15,\nan edge from node 18 to node 2 with capacity 12,\nan edge from node 18 to node 12 with capacity 4,\nWhat is the maximum flow from node 5 to node 7:"
            },
            {
                "from": "gpt",
                "value": "21."
            }
        ]
    },
    {
        "id": "flow-hard-graph696",
        "image": "data/flow/graph_visual/hard/graph696.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 1 to node 10 with capacity 8,\nan edge from node 1 to node 3 with capacity 14,\nan edge from node 2 to node 12 with capacity 6,\nan edge from node 2 to node 5 with capacity 12,\nan edge from node 2 to node 4 with capacity 8,\nan edge from node 2 to node 10 with capacity 4,\nan edge from node 2 to node 0 with capacity 15,\nan edge from node 3 to node 12 with capacity 12,\nan edge from node 3 to node 9 with capacity 12,\nan edge from node 3 to node 8 with capacity 9,\nan edge from node 3 to node 10 with capacity 10,\nan edge from node 3 to node 0 with capacity 3,\nan edge from node 3 to node 1 with capacity 11,\nan edge from node 4 to node 5 with capacity 6,\nan edge from node 4 to node 6 with capacity 17,\nan edge from node 4 to node 2 with capacity 10,\nan edge from node 4 to node 13 with capacity 13,\nan edge from node 4 to node 3 with capacity 11,\nan edge from node 5 to node 9 with capacity 20,\nan edge from node 5 to node 10 with capacity 12,\nan edge from node 5 to node 14 with capacity 16,\nan edge from node 5 to node 3 with capacity 13,\nan edge from node 6 to node 5 with capacity 19,\nan edge from node 6 to node 11 with capacity 11,\nan edge from node 6 to node 15 with capacity 8,\nan edge from node 6 to node 9 with capacity 10,\nan edge from node 6 to node 8 with capacity 14,\nan edge from node 6 to node 2 with capacity 16,\nan edge from node 6 to node 10 with capacity 7,\nan edge from node 6 to node 0 with capacity 15,\nan edge from node 7 to node 6 with capacity 19,\nan edge from node 7 to node 1 with capacity 13,\nan edge from node 8 to node 12 with capacity 3,\nan edge from node 8 to node 6 with capacity 9,\nan edge from node 8 to node 2 with capacity 15,\nan edge from node 8 to node 14 with capacity 9,\nan edge from node 8 to node 0 with capacity 17,\nan edge from node 9 to node 11 with capacity 6,\nan edge from node 9 to node 8 with capacity 14,\nan edge from node 9 to node 10 with capacity 12,\nan edge from node 9 to node 14 with capacity 5,\nan edge from node 9 to node 0 with capacity 13,\nan edge from node 9 to node 3 with capacity 2,\nan edge from node 10 to node 12 with capacity 12,\nan edge from node 10 to node 11 with capacity 4,\nan edge from node 10 to node 9 with capacity 10,\nan edge from node 10 to node 3 with capacity 20,\nan edge from node 11 to node 5 with capacity 4,\nan edge from node 11 to node 8 with capacity 7,\nan edge from node 11 to node 7 with capacity 14,\nan edge from node 13 to node 12 with capacity 20,\nan edge from node 13 to node 5 with capacity 15,\nan edge from node 13 to node 15 with capacity 2,\nan edge from node 13 to node 9 with capacity 13,\nan edge from node 13 to node 2 with capacity 20,\nan edge from node 13 to node 1 with capacity 19,\nan edge from node 14 to node 6 with capacity 1,\nan edge from node 14 to node 10 with capacity 18,\nan edge from node 15 to node 5 with capacity 8,\nan edge from node 15 to node 11 with capacity 3,\nan edge from node 15 to node 6 with capacity 4,\nan edge from node 15 to node 9 with capacity 5,\nan edge from node 15 to node 4 with capacity 3,\nan edge from node 15 to node 7 with capacity 18,\nan edge from node 15 to node 1 with capacity 19,\nWhat is the maximum flow from node 6 to node 0:"
            },
            {
                "from": "gpt",
                "value": "63."
            }
        ]
    },
    {
        "id": "flow-hard-graph575",
        "image": "data/flow/graph_visual/hard/graph575.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 13 with capacity 18,\nan edge from node 0 to node 14 with capacity 19,\nan edge from node 0 to node 8 with capacity 17,\nan edge from node 0 to node 4 with capacity 3,\nan edge from node 1 to node 12 with capacity 19,\nan edge from node 1 to node 2 with capacity 12,\nan edge from node 1 to node 7 with capacity 8,\nan edge from node 1 to node 11 with capacity 12,\nan edge from node 2 to node 12 with capacity 15,\nan edge from node 2 to node 7 with capacity 16,\nan edge from node 2 to node 9 with capacity 7,\nan edge from node 2 to node 6 with capacity 3,\nan edge from node 2 to node 8 with capacity 17,\nan edge from node 2 to node 4 with capacity 9,\nan edge from node 3 to node 5 with capacity 7,\nan edge from node 3 to node 13 with capacity 11,\nan edge from node 3 to node 6 with capacity 9,\nan edge from node 3 to node 4 with capacity 2,\nan edge from node 4 to node 2 with capacity 3,\nan edge from node 4 to node 10 with capacity 11,\nan edge from node 4 to node 14 with capacity 18,\nan edge from node 4 to node 8 with capacity 10,\nan edge from node 5 to node 12 with capacity 11,\nan edge from node 5 to node 13 with capacity 19,\nan edge from node 5 to node 2 with capacity 2,\nan edge from node 5 to node 9 with capacity 8,\nan edge from node 5 to node 14 with capacity 12,\nan edge from node 6 to node 2 with capacity 18,\nan edge from node 6 to node 7 with capacity 2,\nan edge from node 6 to node 11 with capacity 13,\nan edge from node 6 to node 10 with capacity 17,\nan edge from node 6 to node 4 with capacity 15,\nan edge from node 7 to node 5 with capacity 14,\nan edge from node 7 to node 3 with capacity 16,\nan edge from node 7 to node 14 with capacity 5,\nan edge from node 7 to node 8 with capacity 5,\nan edge from node 8 to node 12 with capacity 5,\nan edge from node 8 to node 11 with capacity 6,\nan edge from node 8 to node 10 with capacity 13,\nan edge from node 8 to node 4 with capacity 15,\nan edge from node 9 to node 2 with capacity 6,\nan edge from node 9 to node 8 with capacity 7,\nan edge from node 9 to node 4 with capacity 11,\nan edge from node 10 to node 12 with capacity 9,\nan edge from node 10 to node 0 with capacity 8,\nan edge from node 11 to node 5 with capacity 7,\nan edge from node 11 to node 13 with capacity 15,\nan edge from node 11 to node 6 with capacity 10,\nan edge from node 11 to node 10 with capacity 20,\nan edge from node 11 to node 8 with capacity 10,\nan edge from node 12 to node 13 with capacity 12,\nan edge from node 12 to node 9 with capacity 7,\nan edge from node 13 to node 5 with capacity 6,\nan edge from node 13 to node 9 with capacity 9,\nan edge from node 13 to node 3 with capacity 3,\nan edge from node 13 to node 10 with capacity 8,\nan edge from node 14 to node 9 with capacity 3,\nan edge from node 14 to node 3 with capacity 17,\nWhat is the maximum flow from node 1 to node 2:"
            },
            {
                "from": "gpt",
                "value": "41."
            }
        ]
    },
    {
        "id": "flow-hard-graph666",
        "image": "data/flow/graph_visual/hard/graph666.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 12 with capacity 15,\nan edge from node 0 to node 5 with capacity 5,\nan edge from node 0 to node 14 with capacity 8,\nan edge from node 0 to node 2 with capacity 5,\nan edge from node 1 to node 8 with capacity 18,\nan edge from node 1 to node 5 with capacity 17,\nan edge from node 2 to node 6 with capacity 10,\nan edge from node 2 to node 10 with capacity 8,\nan edge from node 2 to node 4 with capacity 15,\nan edge from node 2 to node 15 with capacity 9,\nan edge from node 3 to node 1 with capacity 11,\nan edge from node 3 to node 6 with capacity 19,\nan edge from node 3 to node 8 with capacity 2,\nan edge from node 3 to node 9 with capacity 8,\nan edge from node 3 to node 15 with capacity 9,\nan edge from node 4 to node 1 with capacity 15,\nan edge from node 4 to node 6 with capacity 13,\nan edge from node 4 to node 14 with capacity 8,\nan edge from node 5 to node 12 with capacity 17,\nan edge from node 5 to node 4 with capacity 17,\nan edge from node 5 to node 13 with capacity 16,\nan edge from node 6 to node 3 with capacity 5,\nan edge from node 6 to node 12 with capacity 13,\nan edge from node 6 to node 14 with capacity 3,\nan edge from node 6 to node 9 with capacity 8,\nan edge from node 7 to node 6 with capacity 5,\nan edge from node 7 to node 5 with capacity 12,\nan edge from node 7 to node 4 with capacity 14,\nan edge from node 7 to node 13 with capacity 20,\nan edge from node 7 to node 2 with capacity 9,\nan edge from node 8 to node 5 with capacity 11,\nan edge from node 8 to node 4 with capacity 15,\nan edge from node 8 to node 9 with capacity 9,\nan edge from node 8 to node 15 with capacity 14,\nan edge from node 9 to node 6 with capacity 15,\nan edge from node 9 to node 0 with capacity 8,\nan edge from node 9 to node 12 with capacity 6,\nan edge from node 10 to node 14 with capacity 7,\nan edge from node 10 to node 2 with capacity 6,\nan edge from node 10 to node 11 with capacity 11,\nan edge from node 11 to node 1 with capacity 4,\nan edge from node 11 to node 7 with capacity 11,\nan edge from node 12 to node 6 with capacity 12,\nan edge from node 12 to node 5 with capacity 2,\nan edge from node 12 to node 13 with capacity 9,\nan edge from node 12 to node 2 with capacity 16,\nan edge from node 12 to node 11 with capacity 10,\nan edge from node 12 to node 15 with capacity 3,\nan edge from node 13 to node 8 with capacity 19,\nan edge from node 13 to node 15 with capacity 10,\nan edge from node 14 to node 1 with capacity 2,\nan edge from node 15 to node 0 with capacity 16,\nan edge from node 15 to node 12 with capacity 19,\nan edge from node 15 to node 13 with capacity 13,\nan edge from node 15 to node 2 with capacity 6,\nan edge from node 15 to node 9 with capacity 13,\nWhat is the maximum flow from node 0 to node 4:"
            },
            {
                "from": "gpt",
                "value": "27."
            }
        ]
    },
    {
        "id": "flow-hard-graph762",
        "image": "data/flow/graph_visual/hard/graph762.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 11 with capacity 3,\nan edge from node 0 to node 6 with capacity 8,\nan edge from node 1 to node 4 with capacity 9,\nan edge from node 1 to node 11 with capacity 19,\nan edge from node 1 to node 12 with capacity 20,\nan edge from node 1 to node 7 with capacity 9,\nan edge from node 2 to node 9 with capacity 2,\nan edge from node 2 to node 10 with capacity 15,\nan edge from node 3 to node 8 with capacity 6,\nan edge from node 3 to node 6 with capacity 4,\nan edge from node 3 to node 2 with capacity 16,\nan edge from node 3 to node 15 with capacity 15,\nan edge from node 3 to node 1 with capacity 1,\nan edge from node 4 to node 3 with capacity 17,\nan edge from node 4 to node 5 with capacity 20,\nan edge from node 5 to node 3 with capacity 12,\nan edge from node 5 to node 2 with capacity 5,\nan edge from node 6 to node 8 with capacity 18,\nan edge from node 6 to node 3 with capacity 15,\nan edge from node 6 to node 4 with capacity 13,\nan edge from node 6 to node 11 with capacity 17,\nan edge from node 6 to node 9 with capacity 14,\nan edge from node 6 to node 2 with capacity 9,\nan edge from node 6 to node 13 with capacity 12,\nan edge from node 7 to node 8 with capacity 11,\nan edge from node 7 to node 10 with capacity 10,\nan edge from node 8 to node 4 with capacity 1,\nan edge from node 8 to node 5 with capacity 18,\nan edge from node 8 to node 1 with capacity 2,\nan edge from node 8 to node 12 with capacity 1,\nan edge from node 8 to node 13 with capacity 2,\nan edge from node 9 to node 4 with capacity 10,\nan edge from node 9 to node 6 with capacity 1,\nan edge from node 9 to node 5 with capacity 3,\nan edge from node 9 to node 12 with capacity 13,\nan edge from node 10 to node 4 with capacity 1,\nan edge from node 10 to node 11 with capacity 8,\nan edge from node 10 to node 9 with capacity 11,\nan edge from node 10 to node 14 with capacity 19,\nan edge from node 10 to node 2 with capacity 3,\nan edge from node 10 to node 12 with capacity 20,\nan edge from node 10 to node 7 with capacity 8,\nan edge from node 11 to node 4 with capacity 4,\nan edge from node 11 to node 6 with capacity 18,\nan edge from node 11 to node 15 with capacity 4,\nan edge from node 11 to node 5 with capacity 16,\nan edge from node 11 to node 1 with capacity 9,\nan edge from node 12 to node 8 with capacity 1,\nan edge from node 12 to node 4 with capacity 17,\nan edge from node 13 to node 11 with capacity 19,\nan edge from node 13 to node 9 with capacity 10,\nan edge from node 13 to node 2 with capacity 14,\nan edge from node 13 to node 1 with capacity 11,\nan edge from node 13 to node 10 with capacity 14,\nan edge from node 14 to node 8 with capacity 11,\nan edge from node 14 to node 6 with capacity 8,\nan edge from node 14 to node 15 with capacity 7,\nan edge from node 15 to node 14 with capacity 18,\nan edge from node 15 to node 2 with capacity 17,\nan edge from node 15 to node 0 with capacity 9,\nan edge from node 15 to node 12 with capacity 3,\nan edge from node 16 to node 2 with capacity 3,\nan edge from node 16 to node 5 with capacity 18,\nan edge from node 16 to node 12 with capacity 3,\nan edge from node 16 to node 13 with capacity 7,\nWhat is the maximum flow from node 11 to node 14:"
            },
            {
                "from": "gpt",
                "value": "37."
            }
        ]
    },
    {
        "id": "flow-hard-graph803",
        "image": "data/flow/graph_visual/hard/graph803.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 14 with capacity 5,\nan edge from node 0 to node 10 with capacity 9,\nan edge from node 0 to node 16 with capacity 18,\nan edge from node 0 to node 12 with capacity 5,\nan edge from node 0 to node 6 with capacity 17,\nan edge from node 0 to node 8 with capacity 7,\nan edge from node 0 to node 3 with capacity 7,\nan edge from node 0 to node 4 with capacity 14,\nan edge from node 1 to node 7 with capacity 19,\nan edge from node 1 to node 2 with capacity 12,\nan edge from node 1 to node 11 with capacity 9,\nan edge from node 1 to node 3 with capacity 5,\nan edge from node 1 to node 4 with capacity 7,\nan edge from node 2 to node 7 with capacity 19,\nan edge from node 2 to node 1 with capacity 12,\nan edge from node 3 to node 5 with capacity 20,\nan edge from node 3 to node 16 with capacity 19,\nan edge from node 3 to node 12 with capacity 13,\nan edge from node 3 to node 6 with capacity 10,\nan edge from node 3 to node 11 with capacity 6,\nan edge from node 3 to node 4 with capacity 19,\nan edge from node 4 to node 14 with capacity 12,\nan edge from node 4 to node 12 with capacity 20,\nan edge from node 4 to node 8 with capacity 20,\nan edge from node 4 to node 2 with capacity 17,\nan edge from node 4 to node 0 with capacity 9,\nan edge from node 5 to node 13 with capacity 10,\nan edge from node 5 to node 9 with capacity 6,\nan edge from node 5 to node 2 with capacity 2,\nan edge from node 5 to node 1 with capacity 8,\nan edge from node 6 to node 16 with capacity 3,\nan edge from node 6 to node 3 with capacity 18,\nan edge from node 6 to node 4 with capacity 19,\nan edge from node 7 to node 14 with capacity 1,\nan edge from node 7 to node 10 with capacity 1,\nan edge from node 7 to node 9 with capacity 13,\nan edge from node 7 to node 16 with capacity 8,\nan edge from node 7 to node 15 with capacity 19,\nan edge from node 7 to node 3 with capacity 1,\nan edge from node 7 to node 1 with capacity 1,\nan edge from node 8 to node 14 with capacity 13,\nan edge from node 8 to node 16 with capacity 9,\nan edge from node 8 to node 6 with capacity 4,\nan edge from node 9 to node 5 with capacity 1,\nan edge from node 9 to node 8 with capacity 3,\nan edge from node 9 to node 11 with capacity 19,\nan edge from node 9 to node 0 with capacity 7,\nan edge from node 10 to node 7 with capacity 11,\nan edge from node 10 to node 9 with capacity 3,\nan edge from node 10 to node 15 with capacity 8,\nan edge from node 10 to node 8 with capacity 8,\nan edge from node 10 to node 4 with capacity 1,\nan edge from node 11 to node 13 with capacity 2,\nan edge from node 11 to node 12 with capacity 19,\nan edge from node 11 to node 6 with capacity 14,\nan edge from node 12 to node 7 with capacity 1,\nan edge from node 12 to node 8 with capacity 3,\nan edge from node 12 to node 3 with capacity 19,\nan edge from node 12 to node 0 with capacity 1,\nan edge from node 13 to node 9 with capacity 17,\nan edge from node 13 to node 8 with capacity 19,\nan edge from node 13 to node 0 with capacity 3,\nan edge from node 14 to node 15 with capacity 19,\nan edge from node 14 to node 6 with capacity 16,\nan edge from node 14 to node 4 with capacity 13,\nan edge from node 15 to node 5 with capacity 1,\nan edge from node 15 to node 16 with capacity 6,\nan edge from node 15 to node 8 with capacity 18,\nan edge from node 15 to node 2 with capacity 6,\nan edge from node 15 to node 3 with capacity 14,\nan edge from node 15 to node 0 with capacity 19,\nan edge from node 15 to node 4 with capacity 11,\nan edge from node 16 to node 9 with capacity 6,\nan edge from node 16 to node 15 with capacity 5,\nan edge from node 16 to node 6 with capacity 17,\nan edge from node 16 to node 11 with capacity 12,\nan edge from node 16 to node 1 with capacity 19,\nWhat is the maximum flow from node 11 to node 7:"
            },
            {
                "from": "gpt",
                "value": "35."
            }
        ]
    },
    {
        "id": "flow-hard-graph242",
        "image": "data/flow/graph_visual/hard/graph242.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 10 with capacity 15,\nan edge from node 0 to node 9 with capacity 1,\nan edge from node 0 to node 3 with capacity 18,\nan edge from node 1 to node 5 with capacity 2,\nan edge from node 1 to node 8 with capacity 2,\nan edge from node 1 to node 4 with capacity 3,\nan edge from node 2 to node 5 with capacity 16,\nan edge from node 2 to node 10 with capacity 14,\nan edge from node 2 to node 1 with capacity 6,\nan edge from node 3 to node 9 with capacity 3,\nan edge from node 3 to node 4 with capacity 5,\nan edge from node 3 to node 12 with capacity 6,\nan edge from node 4 to node 10 with capacity 7,\nan edge from node 4 to node 6 with capacity 4,\nan edge from node 4 to node 9 with capacity 8,\nan edge from node 5 to node 10 with capacity 18,\nan edge from node 5 to node 1 with capacity 6,\nan edge from node 5 to node 4 with capacity 8,\nan edge from node 6 to node 0 with capacity 17,\nan edge from node 6 to node 1 with capacity 3,\nan edge from node 6 to node 12 with capacity 13,\nan edge from node 7 to node 5 with capacity 5,\nan edge from node 7 to node 6 with capacity 7,\nan edge from node 7 to node 11 with capacity 1,\nan edge from node 7 to node 12 with capacity 6,\nan edge from node 8 to node 5 with capacity 17,\nan edge from node 8 to node 6 with capacity 14,\nan edge from node 8 to node 9 with capacity 4,\nan edge from node 8 to node 4 with capacity 6,\nan edge from node 9 to node 0 with capacity 9,\nan edge from node 9 to node 6 with capacity 13,\nan edge from node 9 to node 4 with capacity 2,\nan edge from node 10 to node 5 with capacity 10,\nan edge from node 10 to node 8 with capacity 3,\nan edge from node 10 to node 6 with capacity 8,\nan edge from node 10 to node 9 with capacity 14,\nan edge from node 10 to node 3 with capacity 19,\nan edge from node 11 to node 5 with capacity 9,\nan edge from node 11 to node 2 with capacity 15,\nan edge from node 11 to node 7 with capacity 3,\nan edge from node 11 to node 4 with capacity 10,\nan edge from node 12 to node 11 with capacity 15,\nan edge from node 12 to node 9 with capacity 8,\nan edge from node 12 to node 1 with capacity 11,\nan edge from node 12 to node 3 with capacity 7,\nWhat is the maximum flow from node 12 to node 5:"
            },
            {
                "from": "gpt",
                "value": "32."
            }
        ]
    },
    {
        "id": "flow-hard-graph1017",
        "image": "data/flow/graph_visual/hard/graph1017.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 2 with capacity 3,\nan edge from node 0 to node 6 with capacity 14,\nan edge from node 0 to node 5 with capacity 11,\nan edge from node 0 to node 14 with capacity 18,\nan edge from node 0 to node 7 with capacity 17,\nan edge from node 1 to node 6 with capacity 6,\nan edge from node 1 to node 14 with capacity 15,\nan edge from node 1 to node 9 with capacity 15,\nan edge from node 1 to node 12 with capacity 4,\nan edge from node 1 to node 10 with capacity 11,\nan edge from node 1 to node 7 with capacity 18,\nan edge from node 2 to node 6 with capacity 9,\nan edge from node 2 to node 4 with capacity 8,\nan edge from node 2 to node 0 with capacity 5,\nan edge from node 2 to node 11 with capacity 6,\nan edge from node 3 to node 5 with capacity 13,\nan edge from node 3 to node 11 with capacity 20,\nan edge from node 4 to node 3 with capacity 16,\nan edge from node 4 to node 12 with capacity 11,\nan edge from node 4 to node 11 with capacity 17,\nan edge from node 5 to node 3 with capacity 4,\nan edge from node 5 to node 0 with capacity 13,\nan edge from node 5 to node 16 with capacity 4,\nan edge from node 6 to node 2 with capacity 15,\nan edge from node 6 to node 18 with capacity 18,\nan edge from node 6 to node 14 with capacity 5,\nan edge from node 6 to node 11 with capacity 20,\nan edge from node 6 to node 13 with capacity 20,\nan edge from node 6 to node 7 with capacity 18,\nan edge from node 7 to node 2 with capacity 14,\nan edge from node 7 to node 6 with capacity 3,\nan edge from node 7 to node 5 with capacity 20,\nan edge from node 8 to node 2 with capacity 3,\nan edge from node 8 to node 1 with capacity 1,\nan edge from node 8 to node 14 with capacity 11,\nan edge from node 8 to node 12 with capacity 4,\nan edge from node 8 to node 16 with capacity 16,\nan edge from node 8 to node 7 with capacity 4,\nan edge from node 9 to node 2 with capacity 17,\nan edge from node 9 to node 18 with capacity 9,\nan edge from node 9 to node 1 with capacity 4,\nan edge from node 9 to node 16 with capacity 13,\nan edge from node 10 to node 2 with capacity 9,\nan edge from node 10 to node 15 with capacity 11,\nan edge from node 11 to node 18 with capacity 3,\nan edge from node 11 to node 15 with capacity 5,\nan edge from node 11 to node 5 with capacity 20,\nan edge from node 11 to node 9 with capacity 16,\nan edge from node 12 to node 2 with capacity 6,\nan edge from node 12 to node 1 with capacity 17,\nan edge from node 12 to node 8 with capacity 20,\nan edge from node 13 to node 2 with capacity 6,\nan edge from node 13 to node 15 with capacity 12,\nan edge from node 13 to node 1 with capacity 10,\nan edge from node 13 to node 11 with capacity 11,\nan edge from node 13 to node 7 with capacity 2,\nan edge from node 14 to node 8 with capacity 2,\nan edge from node 15 to node 6 with capacity 2,\nan edge from node 15 to node 18 with capacity 19,\nan edge from node 15 to node 12 with capacity 17,\nan edge from node 15 to node 10 with capacity 16,\nan edge from node 15 to node 11 with capacity 2,\nan edge from node 16 to node 15 with capacity 16,\nan edge from node 16 to node 12 with capacity 1,\nan edge from node 17 to node 4 with capacity 9,\nan edge from node 17 to node 15 with capacity 7,\nan edge from node 17 to node 0 with capacity 5,\nan edge from node 17 to node 16 with capacity 6,\nan edge from node 17 to node 7 with capacity 18,\nan edge from node 18 to node 2 with capacity 9,\nan edge from node 18 to node 3 with capacity 16,\nan edge from node 18 to node 9 with capacity 9,\nan edge from node 18 to node 7 with capacity 10,\nWhat is the maximum flow from node 11 to node 1:"
            },
            {
                "from": "gpt",
                "value": "32."
            }
        ]
    },
    {
        "id": "flow-hard-graph133",
        "image": "data/flow/graph_visual/hard/graph133.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 3 with capacity 18,\nan edge from node 0 to node 2 with capacity 5,\nan edge from node 1 to node 4 with capacity 15,\nan edge from node 1 to node 3 with capacity 15,\nan edge from node 1 to node 2 with capacity 1,\nan edge from node 1 to node 7 with capacity 5,\nan edge from node 2 to node 11 with capacity 18,\nan edge from node 2 to node 6 with capacity 20,\nan edge from node 2 to node 10 with capacity 17,\nan edge from node 3 to node 8 with capacity 2,\nan edge from node 3 to node 10 with capacity 12,\nan edge from node 3 to node 5 with capacity 4,\nan edge from node 5 to node 4 with capacity 15,\nan edge from node 5 to node 10 with capacity 8,\nan edge from node 5 to node 9 with capacity 9,\nan edge from node 5 to node 1 with capacity 11,\nan edge from node 5 to node 0 with capacity 17,\nan edge from node 6 to node 11 with capacity 1,\nan edge from node 6 to node 7 with capacity 16,\nan edge from node 6 to node 1 with capacity 5,\nan edge from node 7 to node 3 with capacity 4,\nan edge from node 8 to node 4 with capacity 7,\nan edge from node 8 to node 3 with capacity 12,\nan edge from node 8 to node 2 with capacity 1,\nan edge from node 8 to node 9 with capacity 5,\nan edge from node 8 to node 0 with capacity 10,\nan edge from node 9 to node 11 with capacity 12,\nan edge from node 9 to node 4 with capacity 8,\nan edge from node 9 to node 8 with capacity 7,\nan edge from node 9 to node 10 with capacity 10,\nan edge from node 9 to node 7 with capacity 13,\nan edge from node 9 to node 0 with capacity 2,\nan edge from node 10 to node 3 with capacity 18,\nan edge from node 10 to node 8 with capacity 1,\nan edge from node 10 to node 7 with capacity 10,\nan edge from node 11 to node 6 with capacity 18,\nan edge from node 11 to node 10 with capacity 4,\nan edge from node 11 to node 9 with capacity 17,\nan edge from node 11 to node 1 with capacity 3,\nWhat is the maximum flow from node 2 to node 1:"
            },
            {
                "from": "gpt",
                "value": "12."
            }
        ]
    },
    {
        "id": "flow-hard-graph539",
        "image": "data/flow/graph_visual/hard/graph539.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 1 with capacity 15,\nan edge from node 0 to node 12 with capacity 16,\nan edge from node 0 to node 10 with capacity 14,\nan edge from node 0 to node 8 with capacity 5,\nan edge from node 0 to node 3 with capacity 9,\nan edge from node 0 to node 11 with capacity 6,\nan edge from node 0 to node 13 with capacity 4,\nan edge from node 0 to node 2 with capacity 9,\nan edge from node 1 to node 8 with capacity 15,\nan edge from node 1 to node 14 with capacity 10,\nan edge from node 1 to node 6 with capacity 12,\nan edge from node 1 to node 7 with capacity 17,\nan edge from node 1 to node 11 with capacity 15,\nan edge from node 2 to node 6 with capacity 16,\nan edge from node 2 to node 11 with capacity 2,\nan edge from node 3 to node 5 with capacity 17,\nan edge from node 3 to node 9 with capacity 20,\nan edge from node 4 to node 1 with capacity 16,\nan edge from node 4 to node 12 with capacity 6,\nan edge from node 4 to node 0 with capacity 19,\nan edge from node 4 to node 14 with capacity 15,\nan edge from node 4 to node 11 with capacity 10,\nan edge from node 5 to node 0 with capacity 19,\nan edge from node 6 to node 5 with capacity 1,\nan edge from node 6 to node 0 with capacity 16,\nan edge from node 6 to node 8 with capacity 14,\nan edge from node 6 to node 11 with capacity 12,\nan edge from node 6 to node 13 with capacity 8,\nan edge from node 7 to node 10 with capacity 10,\nan edge from node 7 to node 9 with capacity 8,\nan edge from node 7 to node 8 with capacity 20,\nan edge from node 7 to node 14 with capacity 10,\nan edge from node 7 to node 11 with capacity 14,\nan edge from node 9 to node 10 with capacity 17,\nan edge from node 9 to node 6 with capacity 17,\nan edge from node 10 to node 7 with capacity 9,\nan edge from node 11 to node 10 with capacity 6,\nan edge from node 11 to node 14 with capacity 14,\nan edge from node 12 to node 1 with capacity 15,\nan edge from node 12 to node 0 with capacity 13,\nan edge from node 12 to node 8 with capacity 3,\nan edge from node 12 to node 3 with capacity 12,\nan edge from node 12 to node 13 with capacity 20,\nan edge from node 12 to node 2 with capacity 20,\nan edge from node 13 to node 1 with capacity 8,\nan edge from node 13 to node 12 with capacity 5,\nan edge from node 13 to node 9 with capacity 16,\nan edge from node 13 to node 8 with capacity 9,\nan edge from node 13 to node 6 with capacity 3,\nan edge from node 13 to node 11 with capacity 1,\nan edge from node 13 to node 2 with capacity 15,\nan edge from node 14 to node 12 with capacity 17,\nan edge from node 14 to node 5 with capacity 6,\nan edge from node 14 to node 7 with capacity 6,\nWhat is the maximum flow from node 3 to node 7:"
            },
            {
                "from": "gpt",
                "value": "32."
            }
        ]
    },
    {
        "id": "flow-hard-graph1022",
        "image": "data/flow/graph_visual/hard/graph1022.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 3 with capacity 7,\nan edge from node 0 to node 13 with capacity 18,\nan edge from node 0 to node 16 with capacity 5,\nan edge from node 0 to node 4 with capacity 4,\nan edge from node 0 to node 5 with capacity 4,\nan edge from node 1 to node 15 with capacity 2,\nan edge from node 1 to node 14 with capacity 4,\nan edge from node 1 to node 7 with capacity 10,\nan edge from node 2 to node 12 with capacity 12,\nan edge from node 2 to node 13 with capacity 9,\nan edge from node 2 to node 16 with capacity 3,\nan edge from node 2 to node 7 with capacity 12,\nan edge from node 2 to node 0 with capacity 2,\nan edge from node 2 to node 5 with capacity 13,\nan edge from node 3 to node 17 with capacity 20,\nan edge from node 3 to node 13 with capacity 15,\nan edge from node 3 to node 1 with capacity 3,\nan edge from node 3 to node 2 with capacity 17,\nan edge from node 4 to node 14 with capacity 16,\nan edge from node 4 to node 7 with capacity 20,\nan edge from node 5 to node 17 with capacity 7,\nan edge from node 5 to node 10 with capacity 9,\nan edge from node 5 to node 14 with capacity 17,\nan edge from node 5 to node 8 with capacity 18,\nan edge from node 5 to node 0 with capacity 3,\nan edge from node 6 to node 17 with capacity 19,\nan edge from node 6 to node 3 with capacity 18,\nan edge from node 6 to node 14 with capacity 6,\nan edge from node 6 to node 8 with capacity 16,\nan edge from node 6 to node 16 with capacity 13,\nan edge from node 6 to node 7 with capacity 1,\nan edge from node 7 to node 17 with capacity 1,\nan edge from node 7 to node 12 with capacity 13,\nan edge from node 7 to node 9 with capacity 11,\nan edge from node 7 to node 14 with capacity 9,\nan edge from node 8 to node 12 with capacity 11,\nan edge from node 8 to node 1 with capacity 6,\nan edge from node 8 to node 2 with capacity 17,\nan edge from node 8 to node 0 with capacity 1,\nan edge from node 9 to node 10 with capacity 9,\nan edge from node 9 to node 12 with capacity 1,\nan edge from node 9 to node 16 with capacity 7,\nan edge from node 9 to node 0 with capacity 7,\nan edge from node 10 to node 17 with capacity 5,\nan edge from node 10 to node 1 with capacity 3,\nan edge from node 10 to node 7 with capacity 16,\nan edge from node 10 to node 4 with capacity 20,\nan edge from node 10 to node 0 with capacity 10,\nan edge from node 11 to node 17 with capacity 5,\nan edge from node 11 to node 14 with capacity 19,\nan edge from node 11 to node 16 with capacity 14,\nan edge from node 11 to node 7 with capacity 3,\nan edge from node 11 to node 0 with capacity 3,\nan edge from node 12 to node 18 with capacity 19,\nan edge from node 12 to node 9 with capacity 3,\nan edge from node 12 to node 8 with capacity 3,\nan edge from node 12 to node 6 with capacity 2,\nan edge from node 13 to node 11 with capacity 18,\nan edge from node 13 to node 1 with capacity 18,\nan edge from node 13 to node 8 with capacity 18,\nan edge from node 13 to node 4 with capacity 3,\nan edge from node 13 to node 0 with capacity 10,\nan edge from node 14 to node 10 with capacity 13,\nan edge from node 14 to node 18 with capacity 18,\nan edge from node 14 to node 15 with capacity 9,\nan edge from node 14 to node 13 with capacity 9,\nan edge from node 14 to node 1 with capacity 20,\nan edge from node 14 to node 8 with capacity 3,\nan edge from node 14 to node 2 with capacity 5,\nan edge from node 14 to node 6 with capacity 18,\nan edge from node 14 to node 0 with capacity 2,\nan edge from node 15 to node 12 with capacity 7,\nan edge from node 15 to node 18 with capacity 6,\nan edge from node 15 to node 14 with capacity 3,\nan edge from node 15 to node 6 with capacity 12,\nan edge from node 16 to node 12 with capacity 10,\nan edge from node 16 to node 3 with capacity 9,\nan edge from node 16 to node 1 with capacity 17,\nan edge from node 16 to node 4 with capacity 11,\nan edge from node 16 to node 0 with capacity 5,\nan edge from node 17 to node 18 with capacity 2,\nan edge from node 17 to node 14 with capacity 16,\nan edge from node 18 to node 10 with capacity 9,\nan edge from node 18 to node 9 with capacity 10,\nan edge from node 18 to node 14 with capacity 14,\nWhat is the maximum flow from node 13 to node 10:"
            },
            {
                "from": "gpt",
                "value": "40."
            }
        ]
    },
    {
        "id": "flow-hard-graph314",
        "image": "data/flow/graph_visual/hard/graph314.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 6 with capacity 13,\nan edge from node 0 to node 1 with capacity 17,\nan edge from node 1 to node 4 with capacity 12,\nan edge from node 1 to node 10 with capacity 11,\nan edge from node 1 to node 8 with capacity 19,\nan edge from node 3 to node 9 with capacity 1,\nan edge from node 4 to node 0 with capacity 15,\nan edge from node 4 to node 8 with capacity 19,\nan edge from node 5 to node 9 with capacity 4,\nan edge from node 5 to node 12 with capacity 6,\nan edge from node 6 to node 0 with capacity 10,\nan edge from node 6 to node 11 with capacity 9,\nan edge from node 6 to node 1 with capacity 15,\nan edge from node 7 to node 10 with capacity 18,\nan edge from node 8 to node 9 with capacity 12,\nan edge from node 8 to node 12 with capacity 5,\nan edge from node 9 to node 6 with capacity 11,\nan edge from node 9 to node 2 with capacity 13,\nan edge from node 9 to node 5 with capacity 13,\nan edge from node 9 to node 12 with capacity 4,\nan edge from node 10 to node 5 with capacity 20,\nan edge from node 11 to node 9 with capacity 10,\nan edge from node 11 to node 10 with capacity 6,\nan edge from node 12 to node 7 with capacity 8,\nan edge from node 12 to node 3 with capacity 10,\nan edge from node 12 to node 1 with capacity 8,\nWhat is the maximum flow from node 5 to node 3:"
            },
            {
                "from": "gpt",
                "value": "10."
            }
        ]
    },
    {
        "id": "flow-hard-graph478",
        "image": "data/flow/graph_visual/hard/graph478.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 12 with capacity 12,\nan edge from node 0 to node 10 with capacity 5,\nan edge from node 0 to node 6 with capacity 6,\nan edge from node 1 to node 2 with capacity 1,\nan edge from node 1 to node 3 with capacity 4,\nan edge from node 1 to node 7 with capacity 3,\nan edge from node 1 to node 11 with capacity 1,\nan edge from node 2 to node 12 with capacity 3,\nan edge from node 2 to node 5 with capacity 8,\nan edge from node 2 to node 9 with capacity 4,\nan edge from node 2 to node 10 with capacity 2,\nan edge from node 2 to node 7 with capacity 4,\nan edge from node 3 to node 0 with capacity 15,\nan edge from node 3 to node 12 with capacity 12,\nan edge from node 3 to node 2 with capacity 16,\nan edge from node 3 to node 9 with capacity 7,\nan edge from node 3 to node 6 with capacity 9,\nan edge from node 4 to node 9 with capacity 16,\nan edge from node 4 to node 6 with capacity 5,\nan edge from node 5 to node 8 with capacity 17,\nan edge from node 5 to node 9 with capacity 18,\nan edge from node 5 to node 11 with capacity 16,\nan edge from node 6 to node 0 with capacity 18,\nan edge from node 6 to node 12 with capacity 8,\nan edge from node 6 to node 11 with capacity 4,\nan edge from node 7 to node 12 with capacity 4,\nan edge from node 7 to node 3 with capacity 11,\nan edge from node 7 to node 13 with capacity 8,\nan edge from node 8 to node 2 with capacity 5,\nan edge from node 8 to node 9 with capacity 11,\nan edge from node 8 to node 13 with capacity 10,\nan edge from node 9 to node 3 with capacity 1,\nan edge from node 9 to node 10 with capacity 17,\nan edge from node 9 to node 6 with capacity 7,\nan edge from node 10 to node 5 with capacity 14,\nan edge from node 10 to node 7 with capacity 9,\nan edge from node 10 to node 11 with capacity 9,\nan edge from node 11 to node 2 with capacity 3,\nan edge from node 11 to node 9 with capacity 6,\nan edge from node 11 to node 10 with capacity 12,\nan edge from node 11 to node 1 with capacity 3,\nan edge from node 12 to node 8 with capacity 10,\nan edge from node 12 to node 5 with capacity 14,\nan edge from node 12 to node 9 with capacity 9,\nan edge from node 12 to node 7 with capacity 18,\nan edge from node 12 to node 13 with capacity 1,\nan edge from node 13 to node 10 with capacity 2,\nan edge from node 13 to node 11 with capacity 4,\nan edge from node 13 to node 1 with capacity 13,\nWhat is the maximum flow from node 8 to node 5:"
            },
            {
                "from": "gpt",
                "value": "26."
            }
        ]
    },
    {
        "id": "flow-hard-graph1120",
        "image": "data/flow/graph_visual/hard/graph1120.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 10 with capacity 14,\nan edge from node 0 to node 1 with capacity 10,\nan edge from node 0 to node 3 with capacity 8,\nan edge from node 0 to node 12 with capacity 5,\nan edge from node 0 to node 8 with capacity 13,\nan edge from node 0 to node 19 with capacity 6,\nan edge from node 0 to node 11 with capacity 18,\nan edge from node 0 to node 6 with capacity 12,\nan edge from node 0 to node 18 with capacity 13,\nan edge from node 1 to node 7 with capacity 4,\nan edge from node 1 to node 19 with capacity 5,\nan edge from node 1 to node 11 with capacity 6,\nan edge from node 2 to node 0 with capacity 11,\nan edge from node 2 to node 14 with capacity 2,\nan edge from node 2 to node 6 with capacity 19,\nan edge from node 3 to node 1 with capacity 13,\nan edge from node 3 to node 0 with capacity 4,\nan edge from node 3 to node 4 with capacity 9,\nan edge from node 3 to node 5 with capacity 7,\nan edge from node 3 to node 18 with capacity 1,\nan edge from node 4 to node 9 with capacity 13,\nan edge from node 4 to node 3 with capacity 19,\nan edge from node 4 to node 16 with capacity 20,\nan edge from node 4 to node 8 with capacity 16,\nan edge from node 4 to node 19 with capacity 20,\nan edge from node 4 to node 11 with capacity 15,\nan edge from node 4 to node 2 with capacity 18,\nan edge from node 4 to node 18 with capacity 19,\nan edge from node 5 to node 1 with capacity 15,\nan edge from node 5 to node 12 with capacity 8,\nan edge from node 5 to node 16 with capacity 15,\nan edge from node 5 to node 7 with capacity 7,\nan edge from node 5 to node 14 with capacity 9,\nan edge from node 5 to node 19 with capacity 9,\nan edge from node 6 to node 9 with capacity 3,\nan edge from node 6 to node 12 with capacity 12,\nan edge from node 6 to node 11 with capacity 14,\nan edge from node 7 to node 12 with capacity 16,\nan edge from node 8 to node 3 with capacity 10,\nan edge from node 8 to node 5 with capacity 4,\nan edge from node 8 to node 12 with capacity 1,\nan edge from node 8 to node 11 with capacity 20,\nan edge from node 9 to node 3 with capacity 7,\nan edge from node 9 to node 5 with capacity 12,\nan edge from node 9 to node 19 with capacity 7,\nan edge from node 9 to node 11 with capacity 7,\nan edge from node 9 to node 18 with capacity 14,\nan edge from node 10 to node 1 with capacity 18,\nan edge from node 10 to node 0 with capacity 2,\nan edge from node 10 to node 3 with capacity 6,\nan edge from node 10 to node 15 with capacity 1,\nan edge from node 11 to node 0 with capacity 1,\nan edge from node 11 to node 14 with capacity 14,\nan edge from node 11 to node 19 with capacity 12,\nan edge from node 12 to node 9 with capacity 11,\nan edge from node 12 to node 5 with capacity 16,\nan edge from node 12 to node 2 with capacity 9,\nan edge from node 13 to node 10 with capacity 3,\nan edge from node 13 to node 3 with capacity 6,\nan edge from node 13 to node 5 with capacity 2,\nan edge from node 13 to node 8 with capacity 5,\nan edge from node 13 to node 15 with capacity 15,\nan edge from node 14 to node 0 with capacity 2,\nan edge from node 14 to node 9 with capacity 4,\nan edge from node 14 to node 4 with capacity 14,\nan edge from node 14 to node 19 with capacity 9,\nan edge from node 14 to node 15 with capacity 16,\nan edge from node 15 to node 0 with capacity 6,\nan edge from node 15 to node 4 with capacity 8,\nan edge from node 15 to node 5 with capacity 20,\nan edge from node 15 to node 16 with capacity 19,\nan edge from node 15 to node 6 with capacity 20,\nan edge from node 16 to node 1 with capacity 10,\nan edge from node 16 to node 3 with capacity 19,\nan edge from node 16 to node 18 with capacity 10,\nan edge from node 17 to node 5 with capacity 13,\nan edge from node 17 to node 13 with capacity 20,\nan edge from node 17 to node 2 with capacity 2,\nan edge from node 17 to node 18 with capacity 7,\nan edge from node 18 to node 7 with capacity 20,\nan edge from node 19 to node 0 with capacity 11,\nan edge from node 19 to node 3 with capacity 5,\nan edge from node 19 to node 5 with capacity 15,\nan edge from node 19 to node 16 with capacity 17,\nan edge from node 19 to node 17 with capacity 16,\nan edge from node 19 to node 14 with capacity 1,\nan edge from node 19 to node 11 with capacity 13,\nan edge from node 19 to node 6 with capacity 11,\nWhat is the maximum flow from node 5 to node 0:"
            },
            {
                "from": "gpt",
                "value": "37."
            }
        ]
    },
    {
        "id": "flow-hard-graph1198",
        "image": "data/flow/graph_visual/hard/graph1198.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 1 to node 16 with capacity 3,\nan edge from node 1 to node 4 with capacity 10,\nan edge from node 1 to node 19 with capacity 4,\nan edge from node 1 to node 9 with capacity 16,\nan edge from node 1 to node 15 with capacity 11,\nan edge from node 1 to node 5 with capacity 12,\nan edge from node 2 to node 10 with capacity 7,\nan edge from node 2 to node 4 with capacity 6,\nan edge from node 2 to node 13 with capacity 1,\nan edge from node 2 to node 6 with capacity 5,\nan edge from node 2 to node 5 with capacity 3,\nan edge from node 3 to node 16 with capacity 17,\nan edge from node 3 to node 19 with capacity 9,\nan edge from node 3 to node 5 with capacity 5,\nan edge from node 3 to node 8 with capacity 8,\nan edge from node 4 to node 14 with capacity 13,\nan edge from node 4 to node 10 with capacity 7,\nan edge from node 4 to node 9 with capacity 15,\nan edge from node 4 to node 8 with capacity 19,\nan edge from node 5 to node 0 with capacity 8,\nan edge from node 5 to node 4 with capacity 16,\nan edge from node 5 to node 17 with capacity 2,\nan edge from node 6 to node 16 with capacity 12,\nan edge from node 6 to node 11 with capacity 4,\nan edge from node 6 to node 2 with capacity 6,\nan edge from node 6 to node 18 with capacity 4,\nan edge from node 6 to node 5 with capacity 18,\nan edge from node 6 to node 8 with capacity 12,\nan edge from node 7 to node 4 with capacity 16,\nan edge from node 7 to node 19 with capacity 15,\nan edge from node 7 to node 17 with capacity 15,\nan edge from node 7 to node 12 with capacity 11,\nan edge from node 7 to node 5 with capacity 7,\nan edge from node 8 to node 12 with capacity 17,\nan edge from node 8 to node 6 with capacity 20,\nan edge from node 8 to node 5 with capacity 7,\nan edge from node 9 to node 14 with capacity 5,\nan edge from node 9 to node 10 with capacity 7,\nan edge from node 9 to node 16 with capacity 7,\nan edge from node 9 to node 11 with capacity 5,\nan edge from node 9 to node 15 with capacity 14,\nan edge from node 9 to node 12 with capacity 9,\nan edge from node 10 to node 0 with capacity 7,\nan edge from node 10 to node 14 with capacity 20,\nan edge from node 10 to node 4 with capacity 14,\nan edge from node 10 to node 13 with capacity 20,\nan edge from node 10 to node 6 with capacity 7,\nan edge from node 10 to node 5 with capacity 17,\nan edge from node 10 to node 8 with capacity 14,\nan edge from node 11 to node 2 with capacity 13,\nan edge from node 11 to node 12 with capacity 3,\nan edge from node 11 to node 6 with capacity 20,\nan edge from node 11 to node 5 with capacity 1,\nan edge from node 12 to node 4 with capacity 10,\nan edge from node 12 to node 15 with capacity 18,\nan edge from node 12 to node 18 with capacity 9,\nan edge from node 12 to node 8 with capacity 1,\nan edge from node 13 to node 0 with capacity 10,\nan edge from node 13 to node 14 with capacity 11,\nan edge from node 13 to node 10 with capacity 7,\nan edge from node 13 to node 15 with capacity 16,\nan edge from node 13 to node 18 with capacity 16,\nan edge from node 14 to node 0 with capacity 12,\nan edge from node 14 to node 10 with capacity 8,\nan edge from node 14 to node 4 with capacity 13,\nan edge from node 14 to node 1 with capacity 4,\nan edge from node 14 to node 19 with capacity 14,\nan edge from node 14 to node 17 with capacity 11,\nan edge from node 14 to node 13 with capacity 11,\nan edge from node 14 to node 12 with capacity 17,\nan edge from node 15 to node 16 with capacity 7,\nan edge from node 15 to node 2 with capacity 7,\nan edge from node 15 to node 12 with capacity 9,\nan edge from node 15 to node 18 with capacity 13,\nan edge from node 15 to node 6 with capacity 2,\nan edge from node 16 to node 4 with capacity 16,\nan edge from node 16 to node 17 with capacity 15,\nan edge from node 16 to node 13 with capacity 14,\nan edge from node 16 to node 15 with capacity 10,\nan edge from node 16 to node 2 with capacity 6,\nan edge from node 16 to node 18 with capacity 9,\nan edge from node 16 to node 6 with capacity 2,\nan edge from node 16 to node 5 with capacity 13,\nan edge from node 17 to node 13 with capacity 1,\nan edge from node 17 to node 6 with capacity 10,\nan edge from node 17 to node 7 with capacity 16,\nan edge from node 17 to node 8 with capacity 1,\nan edge from node 18 to node 13 with capacity 4,\nan edge from node 18 to node 2 with capacity 10,\nan edge from node 18 to node 12 with capacity 8,\nan edge from node 19 to node 0 with capacity 8,\nan edge from node 19 to node 16 with capacity 13,\nan edge from node 19 to node 17 with capacity 9,\nan edge from node 19 to node 2 with capacity 5,\nan edge from node 19 to node 5 with capacity 8,\nan edge from node 19 to node 8 with capacity 6,\nWhat is the maximum flow from node 14 to node 6:"
            },
            {
                "from": "gpt",
                "value": "51."
            }
        ]
    },
    {
        "id": "flow-hard-graph743",
        "image": "data/flow/graph_visual/hard/graph743.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 2 with capacity 20,\nan edge from node 0 to node 12 with capacity 5,\nan edge from node 0 to node 6 with capacity 5,\nan edge from node 1 to node 9 with capacity 6,\nan edge from node 1 to node 14 with capacity 15,\nan edge from node 1 to node 15 with capacity 2,\nan edge from node 2 to node 9 with capacity 1,\nan edge from node 2 to node 8 with capacity 15,\nan edge from node 2 to node 1 with capacity 19,\nan edge from node 3 to node 15 with capacity 9,\nan edge from node 3 to node 10 with capacity 19,\nan edge from node 3 to node 11 with capacity 9,\nan edge from node 3 to node 5 with capacity 7,\nan edge from node 4 to node 8 with capacity 17,\nan edge from node 4 to node 3 with capacity 4,\nan edge from node 4 to node 16 with capacity 3,\nan edge from node 4 to node 0 with capacity 2,\nan edge from node 4 to node 1 with capacity 18,\nan edge from node 4 to node 6 with capacity 20,\nan edge from node 5 to node 12 with capacity 2,\nan edge from node 5 to node 6 with capacity 20,\nan edge from node 6 to node 2 with capacity 5,\nan edge from node 6 to node 14 with capacity 1,\nan edge from node 6 to node 15 with capacity 6,\nan edge from node 6 to node 8 with capacity 1,\nan edge from node 6 to node 11 with capacity 8,\nan edge from node 6 to node 13 with capacity 5,\nan edge from node 7 to node 15 with capacity 12,\nan edge from node 7 to node 4 with capacity 2,\nan edge from node 7 to node 6 with capacity 16,\nan edge from node 7 to node 5 with capacity 2,\nan edge from node 8 to node 12 with capacity 5,\nan edge from node 8 to node 1 with capacity 10,\nan edge from node 9 to node 14 with capacity 2,\nan edge from node 9 to node 8 with capacity 18,\nan edge from node 9 to node 0 with capacity 3,\nan edge from node 9 to node 13 with capacity 6,\nan edge from node 10 to node 4 with capacity 9,\nan edge from node 10 to node 16 with capacity 3,\nan edge from node 10 to node 1 with capacity 11,\nan edge from node 11 to node 9 with capacity 19,\nan edge from node 11 to node 14 with capacity 15,\nan edge from node 11 to node 10 with capacity 20,\nan edge from node 11 to node 6 with capacity 10,\nan edge from node 12 to node 7 with capacity 6,\nan edge from node 12 to node 1 with capacity 17,\nan edge from node 12 to node 6 with capacity 10,\nan edge from node 12 to node 13 with capacity 12,\nan edge from node 13 to node 7 with capacity 20,\nan edge from node 13 to node 2 with capacity 4,\nan edge from node 13 to node 14 with capacity 2,\nan edge from node 13 to node 3 with capacity 5,\nan edge from node 13 to node 16 with capacity 8,\nan edge from node 14 to node 15 with capacity 6,\nan edge from node 14 to node 4 with capacity 19,\nan edge from node 14 to node 10 with capacity 3,\nan edge from node 14 to node 11 with capacity 1,\nan edge from node 14 to node 5 with capacity 11,\nan edge from node 15 to node 7 with capacity 19,\nan edge from node 15 to node 14 with capacity 11,\nan edge from node 15 to node 3 with capacity 18,\nan edge from node 15 to node 0 with capacity 19,\nan edge from node 15 to node 1 with capacity 6,\nan edge from node 16 to node 14 with capacity 14,\nan edge from node 16 to node 10 with capacity 6,\nan edge from node 16 to node 5 with capacity 11,\nWhat is the maximum flow from node 5 to node 2:"
            },
            {
                "from": "gpt",
                "value": "22."
            }
        ]
    },
    {
        "id": "flow-hard-graph1115",
        "image": "data/flow/graph_visual/hard/graph1115.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 19 with capacity 20,\nan edge from node 0 to node 9 with capacity 19,\nan edge from node 0 to node 8 with capacity 17,\nan edge from node 0 to node 16 with capacity 15,\nan edge from node 0 to node 17 with capacity 18,\nan edge from node 0 to node 6 with capacity 20,\nan edge from node 0 to node 10 with capacity 2,\nan edge from node 1 to node 2 with capacity 8,\nan edge from node 1 to node 8 with capacity 7,\nan edge from node 1 to node 7 with capacity 11,\nan edge from node 1 to node 17 with capacity 16,\nan edge from node 1 to node 13 with capacity 4,\nan edge from node 1 to node 12 with capacity 14,\nan edge from node 1 to node 3 with capacity 4,\nan edge from node 2 to node 19 with capacity 6,\nan edge from node 2 to node 7 with capacity 9,\nan edge from node 2 to node 13 with capacity 4,\nan edge from node 2 to node 5 with capacity 15,\nan edge from node 2 to node 10 with capacity 10,\nan edge from node 2 to node 18 with capacity 5,\nan edge from node 3 to node 19 with capacity 16,\nan edge from node 3 to node 10 with capacity 11,\nan edge from node 4 to node 5 with capacity 20,\nan edge from node 4 to node 0 with capacity 4,\nan edge from node 4 to node 15 with capacity 8,\nan edge from node 4 to node 12 with capacity 13,\nan edge from node 4 to node 3 with capacity 11,\nan edge from node 5 to node 7 with capacity 11,\nan edge from node 5 to node 13 with capacity 12,\nan edge from node 5 to node 0 with capacity 20,\nan edge from node 5 to node 4 with capacity 2,\nan edge from node 5 to node 12 with capacity 10,\nan edge from node 6 to node 11 with capacity 2,\nan edge from node 6 to node 4 with capacity 16,\nan edge from node 6 to node 10 with capacity 13,\nan edge from node 6 to node 18 with capacity 8,\nan edge from node 6 to node 3 with capacity 14,\nan edge from node 7 to node 14 with capacity 13,\nan edge from node 7 to node 8 with capacity 5,\nan edge from node 7 to node 1 with capacity 4,\nan edge from node 7 to node 0 with capacity 19,\nan edge from node 7 to node 12 with capacity 6,\nan edge from node 8 to node 2 with capacity 2,\nan edge from node 8 to node 16 with capacity 10,\nan edge from node 8 to node 13 with capacity 16,\nan edge from node 8 to node 5 with capacity 13,\nan edge from node 8 to node 4 with capacity 18,\nan edge from node 8 to node 10 with capacity 16,\nan edge from node 8 to node 15 with capacity 14,\nan edge from node 9 to node 2 with capacity 18,\nan edge from node 9 to node 14 with capacity 6,\nan edge from node 9 to node 1 with capacity 12,\nan edge from node 9 to node 6 with capacity 19,\nan edge from node 9 to node 15 with capacity 10,\nan edge from node 9 to node 18 with capacity 17,\nan edge from node 10 to node 2 with capacity 2,\nan edge from node 10 to node 14 with capacity 5,\nan edge from node 10 to node 11 with capacity 17,\nan edge from node 10 to node 13 with capacity 18,\nan edge from node 11 to node 2 with capacity 5,\nan edge from node 11 to node 6 with capacity 13,\nan edge from node 11 to node 4 with capacity 3,\nan edge from node 12 to node 9 with capacity 19,\nan edge from node 12 to node 14 with capacity 10,\nan edge from node 12 to node 16 with capacity 4,\nan edge from node 12 to node 5 with capacity 7,\nan edge from node 12 to node 15 with capacity 4,\nan edge from node 13 to node 14 with capacity 7,\nan edge from node 13 to node 16 with capacity 15,\nan edge from node 13 to node 5 with capacity 12,\nan edge from node 13 to node 4 with capacity 18,\nan edge from node 13 to node 10 with capacity 2,\nan edge from node 13 to node 18 with capacity 19,\nan edge from node 14 to node 19 with capacity 18,\nan edge from node 14 to node 13 with capacity 19,\nan edge from node 14 to node 0 with capacity 18,\nan edge from node 14 to node 10 with capacity 11,\nan edge from node 14 to node 3 with capacity 5,\nan edge from node 15 to node 2 with capacity 20,\nan edge from node 15 to node 11 with capacity 5,\nan edge from node 15 to node 16 with capacity 8,\nan edge from node 15 to node 1 with capacity 7,\nan edge from node 15 to node 17 with capacity 14,\nan edge from node 15 to node 12 with capacity 13,\nan edge from node 16 to node 14 with capacity 16,\nan edge from node 16 to node 13 with capacity 5,\nan edge from node 16 to node 12 with capacity 8,\nan edge from node 17 to node 2 with capacity 4,\nan edge from node 17 to node 18 with capacity 7,\nan edge from node 17 to node 3 with capacity 4,\nan edge from node 18 to node 8 with capacity 20,\nan edge from node 18 to node 17 with capacity 16,\nan edge from node 18 to node 0 with capacity 3,\nan edge from node 19 to node 9 with capacity 12,\nan edge from node 19 to node 11 with capacity 17,\nan edge from node 19 to node 13 with capacity 14,\nan edge from node 19 to node 5 with capacity 20,\nan edge from node 19 to node 18 with capacity 9,\nWhat is the maximum flow from node 3 to node 9:"
            },
            {
                "from": "gpt",
                "value": "27."
            }
        ]
    },
    {
        "id": "flow-hard-graph542",
        "image": "data/flow/graph_visual/hard/graph542.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 10 with capacity 18,\nan edge from node 0 to node 14 with capacity 3,\nan edge from node 1 to node 12 with capacity 18,\nan edge from node 1 to node 7 with capacity 19,\nan edge from node 1 to node 11 with capacity 17,\nan edge from node 2 to node 10 with capacity 5,\nan edge from node 2 to node 6 with capacity 11,\nan edge from node 2 to node 5 with capacity 2,\nan edge from node 2 to node 8 with capacity 14,\nan edge from node 2 to node 1 with capacity 8,\nan edge from node 2 to node 14 with capacity 4,\nan edge from node 2 to node 3 with capacity 5,\nan edge from node 3 to node 6 with capacity 15,\nan edge from node 3 to node 7 with capacity 1,\nan edge from node 5 to node 9 with capacity 7,\nan edge from node 5 to node 2 with capacity 14,\nan edge from node 5 to node 7 with capacity 4,\nan edge from node 5 to node 14 with capacity 18,\nan edge from node 6 to node 12 with capacity 1,\nan edge from node 6 to node 2 with capacity 13,\nan edge from node 6 to node 7 with capacity 20,\nan edge from node 6 to node 8 with capacity 7,\nan edge from node 7 to node 9 with capacity 20,\nan edge from node 7 to node 10 with capacity 17,\nan edge from node 8 to node 10 with capacity 11,\nan edge from node 8 to node 4 with capacity 2,\nan edge from node 8 to node 14 with capacity 19,\nan edge from node 9 to node 2 with capacity 2,\nan edge from node 9 to node 7 with capacity 19,\nan edge from node 10 to node 9 with capacity 6,\nan edge from node 10 to node 6 with capacity 10,\nan edge from node 10 to node 8 with capacity 16,\nan edge from node 10 to node 0 with capacity 15,\nan edge from node 11 to node 9 with capacity 8,\nan edge from node 11 to node 4 with capacity 17,\nan edge from node 11 to node 7 with capacity 3,\nan edge from node 11 to node 3 with capacity 11,\nan edge from node 12 to node 9 with capacity 16,\nan edge from node 12 to node 10 with capacity 7,\nan edge from node 12 to node 2 with capacity 11,\nan edge from node 12 to node 11 with capacity 19,\nan edge from node 12 to node 1 with capacity 2,\nan edge from node 12 to node 14 with capacity 20,\nan edge from node 13 to node 7 with capacity 13,\nan edge from node 14 to node 10 with capacity 4,\nan edge from node 14 to node 7 with capacity 18,\nan edge from node 14 to node 1 with capacity 2,\nan edge from node 14 to node 3 with capacity 14,\nan edge from node 14 to node 0 with capacity 16,\nWhat is the maximum flow from node 7 to node 6:"
            },
            {
                "from": "gpt",
                "value": "19."
            }
        ]
    },
    {
        "id": "flow-hard-graph497",
        "image": "data/flow/graph_visual/hard/graph497.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 9 with capacity 4,\nan edge from node 0 to node 14 with capacity 7,\nan edge from node 0 to node 13 with capacity 2,\nan edge from node 0 to node 3 with capacity 3,\nan edge from node 0 to node 8 with capacity 3,\nan edge from node 0 to node 2 with capacity 13,\nan edge from node 1 to node 12 with capacity 3,\nan edge from node 1 to node 10 with capacity 11,\nan edge from node 1 to node 11 with capacity 8,\nan edge from node 1 to node 4 with capacity 2,\nan edge from node 1 to node 7 with capacity 7,\nan edge from node 2 to node 5 with capacity 4,\nan edge from node 2 to node 9 with capacity 11,\nan edge from node 2 to node 14 with capacity 13,\nan edge from node 2 to node 13 with capacity 11,\nan edge from node 2 to node 4 with capacity 10,\nan edge from node 3 to node 12 with capacity 8,\nan edge from node 3 to node 14 with capacity 12,\nan edge from node 3 to node 13 with capacity 11,\nan edge from node 3 to node 8 with capacity 3,\nan edge from node 3 to node 10 with capacity 14,\nan edge from node 4 to node 12 with capacity 2,\nan edge from node 4 to node 9 with capacity 12,\nan edge from node 4 to node 13 with capacity 16,\nan edge from node 4 to node 3 with capacity 13,\nan edge from node 5 to node 0 with capacity 1,\nan edge from node 5 to node 4 with capacity 12,\nan edge from node 5 to node 7 with capacity 4,\nan edge from node 5 to node 1 with capacity 16,\nan edge from node 6 to node 5 with capacity 12,\nan edge from node 6 to node 0 with capacity 16,\nan edge from node 6 to node 9 with capacity 17,\nan edge from node 6 to node 4 with capacity 14,\nan edge from node 7 to node 5 with capacity 20,\nan edge from node 7 to node 0 with capacity 20,\nan edge from node 7 to node 8 with capacity 8,\nan edge from node 7 to node 10 with capacity 3,\nan edge from node 7 to node 6 with capacity 16,\nan edge from node 8 to node 0 with capacity 11,\nan edge from node 8 to node 12 with capacity 15,\nan edge from node 8 to node 2 with capacity 20,\nan edge from node 9 to node 5 with capacity 10,\nan edge from node 9 to node 8 with capacity 8,\nan edge from node 9 to node 11 with capacity 3,\nan edge from node 11 to node 5 with capacity 15,\nan edge from node 11 to node 13 with capacity 5,\nan edge from node 11 to node 3 with capacity 2,\nan edge from node 11 to node 4 with capacity 18,\nan edge from node 12 to node 6 with capacity 19,\nan edge from node 13 to node 5 with capacity 2,\nan edge from node 13 to node 12 with capacity 17,\nan edge from node 13 to node 14 with capacity 17,\nan edge from node 13 to node 8 with capacity 1,\nan edge from node 14 to node 0 with capacity 11,\nan edge from node 14 to node 12 with capacity 8,\nan edge from node 14 to node 11 with capacity 8,\nWhat is the maximum flow from node 11 to node 4:"
            },
            {
                "from": "gpt",
                "value": "40."
            }
        ]
    },
    {
        "id": "flow-hard-graph1085",
        "image": "data/flow/graph_visual/hard/graph1085.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 4 with capacity 14,\nan edge from node 0 to node 5 with capacity 18,\nan edge from node 0 to node 6 with capacity 15,\nan edge from node 0 to node 12 with capacity 14,\nan edge from node 0 to node 18 with capacity 4,\nan edge from node 0 to node 3 with capacity 9,\nan edge from node 0 to node 8 with capacity 7,\nan edge from node 1 to node 5 with capacity 1,\nan edge from node 1 to node 13 with capacity 15,\nan edge from node 1 to node 2 with capacity 7,\nan edge from node 1 to node 7 with capacity 3,\nan edge from node 2 to node 0 with capacity 8,\nan edge from node 2 to node 4 with capacity 10,\nan edge from node 2 to node 13 with capacity 2,\nan edge from node 2 to node 6 with capacity 10,\nan edge from node 2 to node 16 with capacity 13,\nan edge from node 2 to node 9 with capacity 1,\nan edge from node 2 to node 7 with capacity 1,\nan edge from node 3 to node 11 with capacity 2,\nan edge from node 3 to node 12 with capacity 16,\nan edge from node 3 to node 14 with capacity 15,\nan edge from node 4 to node 11 with capacity 15,\nan edge from node 4 to node 19 with capacity 13,\nan edge from node 4 to node 6 with capacity 1,\nan edge from node 4 to node 17 with capacity 8,\nan edge from node 4 to node 9 with capacity 3,\nan edge from node 4 to node 14 with capacity 18,\nan edge from node 5 to node 0 with capacity 19,\nan edge from node 5 to node 13 with capacity 1,\nan edge from node 5 to node 18 with capacity 10,\nan edge from node 5 to node 2 with capacity 18,\nan edge from node 6 to node 0 with capacity 5,\nan edge from node 6 to node 19 with capacity 15,\nan edge from node 6 to node 1 with capacity 15,\nan edge from node 6 to node 12 with capacity 20,\nan edge from node 6 to node 14 with capacity 1,\nan edge from node 6 to node 2 with capacity 9,\nan edge from node 7 to node 13 with capacity 8,\nan edge from node 7 to node 1 with capacity 18,\nan edge from node 7 to node 6 with capacity 10,\nan edge from node 7 to node 10 with capacity 8,\nan edge from node 7 to node 17 with capacity 1,\nan edge from node 7 to node 14 with capacity 6,\nan edge from node 7 to node 2 with capacity 14,\nan edge from node 7 to node 3 with capacity 14,\nan edge from node 8 to node 19 with capacity 14,\nan edge from node 8 to node 12 with capacity 11,\nan edge from node 8 to node 16 with capacity 11,\nan edge from node 9 to node 0 with capacity 15,\nan edge from node 9 to node 5 with capacity 7,\nan edge from node 9 to node 11 with capacity 20,\nan edge from node 9 to node 6 with capacity 9,\nan edge from node 9 to node 17 with capacity 4,\nan edge from node 9 to node 14 with capacity 10,\nan edge from node 9 to node 2 with capacity 17,\nan edge from node 9 to node 7 with capacity 1,\nan edge from node 10 to node 0 with capacity 3,\nan edge from node 10 to node 17 with capacity 10,\nan edge from node 10 to node 3 with capacity 13,\nan edge from node 10 to node 8 with capacity 2,\nan edge from node 11 to node 0 with capacity 13,\nan edge from node 11 to node 4 with capacity 12,\nan edge from node 11 to node 6 with capacity 9,\nan edge from node 11 to node 17 with capacity 5,\nan edge from node 12 to node 5 with capacity 11,\nan edge from node 12 to node 11 with capacity 9,\nan edge from node 12 to node 6 with capacity 11,\nan edge from node 12 to node 10 with capacity 9,\nan edge from node 12 to node 14 with capacity 19,\nan edge from node 12 to node 2 with capacity 15,\nan edge from node 13 to node 11 with capacity 3,\nan edge from node 13 to node 2 with capacity 13,\nan edge from node 13 to node 8 with capacity 13,\nan edge from node 14 to node 11 with capacity 12,\nan edge from node 14 to node 10 with capacity 6,\nan edge from node 14 to node 15 with capacity 1,\nan edge from node 14 to node 16 with capacity 5,\nan edge from node 15 to node 0 with capacity 13,\nan edge from node 15 to node 5 with capacity 5,\nan edge from node 15 to node 1 with capacity 3,\nan edge from node 15 to node 12 with capacity 16,\nan edge from node 15 to node 18 with capacity 8,\nan edge from node 15 to node 14 with capacity 14,\nan edge from node 16 to node 0 with capacity 10,\nan edge from node 16 to node 4 with capacity 5,\nan edge from node 16 to node 5 with capacity 8,\nan edge from node 16 to node 19 with capacity 16,\nan edge from node 16 to node 12 with capacity 19,\nan edge from node 16 to node 10 with capacity 20,\nan edge from node 16 to node 18 with capacity 18,\nan edge from node 16 to node 3 with capacity 7,\nan edge from node 17 to node 0 with capacity 17,\nan edge from node 17 to node 4 with capacity 6,\nan edge from node 17 to node 12 with capacity 9,\nan edge from node 17 to node 14 with capacity 6,\nan edge from node 18 to node 1 with capacity 8,\nan edge from node 18 to node 15 with capacity 13,\nan edge from node 18 to node 8 with capacity 5,\nan edge from node 19 to node 2 with capacity 1,\nan edge from node 19 to node 8 with capacity 12,\nWhat is the maximum flow from node 18 to node 19:"
            },
            {
                "from": "gpt",
                "value": "26."
            }
        ]
    },
    {
        "id": "flow-hard-graph290",
        "image": "data/flow/graph_visual/hard/graph290.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 2 with capacity 4,\nan edge from node 0 to node 12 with capacity 14,\nan edge from node 1 to node 2 with capacity 3,\nan edge from node 1 to node 12 with capacity 20,\nan edge from node 2 to node 8 with capacity 17,\nan edge from node 2 to node 1 with capacity 17,\nan edge from node 2 to node 4 with capacity 13,\nan edge from node 3 to node 9 with capacity 15,\nan edge from node 3 to node 8 with capacity 8,\nan edge from node 3 to node 7 with capacity 13,\nan edge from node 3 to node 10 with capacity 18,\nan edge from node 4 to node 2 with capacity 11,\nan edge from node 4 to node 8 with capacity 16,\nan edge from node 4 to node 7 with capacity 20,\nan edge from node 4 to node 1 with capacity 8,\nan edge from node 4 to node 12 with capacity 18,\nan edge from node 5 to node 9 with capacity 14,\nan edge from node 5 to node 6 with capacity 13,\nan edge from node 5 to node 10 with capacity 17,\nan edge from node 6 to node 3 with capacity 17,\nan edge from node 6 to node 1 with capacity 7,\nan edge from node 6 to node 10 with capacity 9,\nan edge from node 7 to node 0 with capacity 7,\nan edge from node 7 to node 4 with capacity 3,\nan edge from node 8 to node 5 with capacity 15,\nan edge from node 8 to node 1 with capacity 19,\nan edge from node 8 to node 12 with capacity 3,\nan edge from node 8 to node 4 with capacity 4,\nan edge from node 8 to node 11 with capacity 17,\nan edge from node 9 to node 3 with capacity 20,\nan edge from node 9 to node 7 with capacity 8,\nan edge from node 9 to node 6 with capacity 8,\nan edge from node 10 to node 5 with capacity 13,\nan edge from node 10 to node 3 with capacity 16,\nan edge from node 10 to node 6 with capacity 2,\nan edge from node 11 to node 12 with capacity 17,\nan edge from node 12 to node 5 with capacity 17,\nan edge from node 12 to node 3 with capacity 9,\nan edge from node 12 to node 9 with capacity 8,\nan edge from node 12 to node 11 with capacity 16,\nWhat is the maximum flow from node 8 to node 12:"
            },
            {
                "from": "gpt",
                "value": "57."
            }
        ]
    },
    {
        "id": "flow-hard-graph596",
        "image": "data/flow/graph_visual/hard/graph596.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 8 with capacity 6,\nan edge from node 0 to node 6 with capacity 20,\nan edge from node 0 to node 13 with capacity 3,\nan edge from node 0 to node 2 with capacity 7,\nan edge from node 1 to node 12 with capacity 11,\nan edge from node 1 to node 10 with capacity 2,\nan edge from node 1 to node 9 with capacity 18,\nan edge from node 1 to node 2 with capacity 16,\nan edge from node 1 to node 4 with capacity 4,\nan edge from node 1 to node 7 with capacity 17,\nan edge from node 2 to node 3 with capacity 20,\nan edge from node 2 to node 14 with capacity 5,\nan edge from node 2 to node 5 with capacity 10,\nan edge from node 2 to node 7 with capacity 5,\nan edge from node 3 to node 9 with capacity 11,\nan edge from node 3 to node 1 with capacity 6,\nan edge from node 4 to node 0 with capacity 15,\nan edge from node 5 to node 3 with capacity 11,\nan edge from node 5 to node 14 with capacity 5,\nan edge from node 5 to node 8 with capacity 13,\nan edge from node 5 to node 12 with capacity 10,\nan edge from node 5 to node 10 with capacity 12,\nan edge from node 5 to node 0 with capacity 13,\nan edge from node 6 to node 3 with capacity 11,\nan edge from node 6 to node 10 with capacity 2,\nan edge from node 6 to node 9 with capacity 20,\nan edge from node 6 to node 0 with capacity 4,\nan edge from node 7 to node 12 with capacity 18,\nan edge from node 7 to node 11 with capacity 12,\nan edge from node 7 to node 2 with capacity 7,\nan edge from node 8 to node 6 with capacity 10,\nan edge from node 8 to node 5 with capacity 6,\nan edge from node 8 to node 1 with capacity 9,\nan edge from node 8 to node 4 with capacity 8,\nan edge from node 8 to node 7 with capacity 10,\nan edge from node 9 to node 3 with capacity 14,\nan edge from node 9 to node 8 with capacity 19,\nan edge from node 9 to node 1 with capacity 18,\nan edge from node 9 to node 2 with capacity 4,\nan edge from node 10 to node 14 with capacity 13,\nan edge from node 10 to node 13 with capacity 7,\nan edge from node 10 to node 1 with capacity 3,\nan edge from node 10 to node 11 with capacity 8,\nan edge from node 10 to node 0 with capacity 18,\nan edge from node 12 to node 14 with capacity 7,\nan edge from node 12 to node 7 with capacity 20,\nan edge from node 13 to node 14 with capacity 3,\nan edge from node 13 to node 8 with capacity 12,\nan edge from node 13 to node 12 with capacity 15,\nan edge from node 13 to node 10 with capacity 9,\nan edge from node 14 to node 9 with capacity 3,\nan edge from node 14 to node 6 with capacity 12,\nan edge from node 14 to node 2 with capacity 15,\nan edge from node 14 to node 4 with capacity 14,\nan edge from node 14 to node 0 with capacity 16,\nWhat is the maximum flow from node 12 to node 11:"
            },
            {
                "from": "gpt",
                "value": "20."
            }
        ]
    },
    {
        "id": "flow-hard-graph850",
        "image": "data/flow/graph_visual/hard/graph850.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 16 with capacity 12,\nan edge from node 0 to node 10 with capacity 3,\nan edge from node 0 to node 1 with capacity 16,\nan edge from node 0 to node 3 with capacity 2,\nan edge from node 0 to node 9 with capacity 1,\nan edge from node 1 to node 17 with capacity 4,\nan edge from node 1 to node 5 with capacity 20,\nan edge from node 1 to node 12 with capacity 3,\nan edge from node 1 to node 14 with capacity 7,\nan edge from node 1 to node 11 with capacity 7,\nan edge from node 2 to node 16 with capacity 12,\nan edge from node 2 to node 10 with capacity 8,\nan edge from node 2 to node 12 with capacity 2,\nan edge from node 2 to node 9 with capacity 20,\nan edge from node 3 to node 16 with capacity 19,\nan edge from node 3 to node 4 with capacity 1,\nan edge from node 3 to node 13 with capacity 18,\nan edge from node 4 to node 17 with capacity 15,\nan edge from node 4 to node 10 with capacity 2,\nan edge from node 4 to node 6 with capacity 17,\nan edge from node 4 to node 3 with capacity 10,\nan edge from node 5 to node 7 with capacity 2,\nan edge from node 5 to node 6 with capacity 15,\nan edge from node 5 to node 13 with capacity 13,\nan edge from node 5 to node 9 with capacity 8,\nan edge from node 6 to node 7 with capacity 13,\nan edge from node 6 to node 13 with capacity 7,\nan edge from node 6 to node 12 with capacity 6,\nan edge from node 6 to node 9 with capacity 7,\nan edge from node 7 to node 5 with capacity 7,\nan edge from node 7 to node 2 with capacity 13,\nan edge from node 7 to node 9 with capacity 19,\nan edge from node 8 to node 10 with capacity 3,\nan edge from node 8 to node 4 with capacity 6,\nan edge from node 8 to node 13 with capacity 6,\nan edge from node 8 to node 12 with capacity 9,\nan edge from node 9 to node 2 with capacity 13,\nan edge from node 9 to node 1 with capacity 14,\nan edge from node 9 to node 0 with capacity 15,\nan edge from node 9 to node 11 with capacity 11,\nan edge from node 10 to node 5 with capacity 15,\nan edge from node 10 to node 2 with capacity 15,\nan edge from node 10 to node 6 with capacity 1,\nan edge from node 10 to node 4 with capacity 18,\nan edge from node 10 to node 11 with capacity 8,\nan edge from node 11 to node 6 with capacity 18,\nan edge from node 11 to node 15 with capacity 9,\nan edge from node 12 to node 0 with capacity 14,\nan edge from node 12 to node 13 with capacity 8,\nan edge from node 13 to node 5 with capacity 16,\nan edge from node 13 to node 10 with capacity 14,\nan edge from node 13 to node 2 with capacity 1,\nan edge from node 13 to node 4 with capacity 10,\nan edge from node 13 to node 15 with capacity 20,\nan edge from node 13 to node 14 with capacity 18,\nan edge from node 14 to node 5 with capacity 3,\nan edge from node 14 to node 16 with capacity 5,\nan edge from node 14 to node 10 with capacity 16,\nan edge from node 14 to node 1 with capacity 7,\nan edge from node 14 to node 0 with capacity 19,\nan edge from node 14 to node 11 with capacity 1,\nan edge from node 14 to node 3 with capacity 20,\nan edge from node 15 to node 7 with capacity 7,\nan edge from node 15 to node 8 with capacity 7,\nan edge from node 15 to node 14 with capacity 11,\nan edge from node 16 to node 8 with capacity 12,\nan edge from node 16 to node 13 with capacity 13,\nan edge from node 16 to node 12 with capacity 19,\nan edge from node 17 to node 2 with capacity 19,\nan edge from node 17 to node 1 with capacity 4,\nan edge from node 17 to node 0 with capacity 18,\nan edge from node 17 to node 15 with capacity 2,\nan edge from node 17 to node 12 with capacity 19,\nan edge from node 17 to node 9 with capacity 12,\nWhat is the maximum flow from node 15 to node 16:"
            },
            {
                "from": "gpt",
                "value": "25."
            }
        ]
    },
    {
        "id": "flow-hard-graph275",
        "image": "data/flow/graph_visual/hard/graph275.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 5 with capacity 19,\nan edge from node 0 to node 2 with capacity 6,\nan edge from node 0 to node 10 with capacity 7,\nan edge from node 2 to node 5 with capacity 11,\nan edge from node 2 to node 0 with capacity 19,\nan edge from node 2 to node 8 with capacity 9,\nan edge from node 3 to node 0 with capacity 8,\nan edge from node 3 to node 9 with capacity 13,\nan edge from node 3 to node 8 with capacity 9,\nan edge from node 4 to node 6 with capacity 8,\nan edge from node 4 to node 9 with capacity 16,\nan edge from node 4 to node 8 with capacity 8,\nan edge from node 4 to node 2 with capacity 2,\nan edge from node 5 to node 1 with capacity 3,\nan edge from node 6 to node 0 with capacity 13,\nan edge from node 6 to node 12 with capacity 2,\nan edge from node 7 to node 9 with capacity 2,\nan edge from node 7 to node 11 with capacity 8,\nan edge from node 7 to node 8 with capacity 12,\nan edge from node 8 to node 1 with capacity 12,\nan edge from node 9 to node 7 with capacity 6,\nan edge from node 9 to node 1 with capacity 15,\nan edge from node 11 to node 4 with capacity 15,\nan edge from node 11 to node 5 with capacity 15,\nan edge from node 12 to node 4 with capacity 16,\nan edge from node 12 to node 6 with capacity 7,\nan edge from node 12 to node 0 with capacity 5,\nan edge from node 12 to node 9 with capacity 14,\nan edge from node 12 to node 10 with capacity 15,\nWhat is the maximum flow from node 12 to node 1:"
            },
            {
                "from": "gpt",
                "value": "30."
            }
        ]
    },
    {
        "id": "flow-hard-graph8",
        "image": "data/flow/graph_visual/hard/graph8.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 4 with capacity 1,\nan edge from node 0 to node 3 with capacity 1,\nan edge from node 1 to node 6 with capacity 18,\nan edge from node 2 to node 8 with capacity 20,\nan edge from node 2 to node 1 with capacity 2,\nan edge from node 3 to node 5 with capacity 5,\nan edge from node 4 to node 1 with capacity 5,\nan edge from node 5 to node 10 with capacity 18,\nan edge from node 5 to node 6 with capacity 17,\nan edge from node 5 to node 2 with capacity 9,\nan edge from node 6 to node 0 with capacity 17,\nan edge from node 6 to node 8 with capacity 3,\nan edge from node 7 to node 0 with capacity 5,\nan edge from node 7 to node 8 with capacity 6,\nan edge from node 8 to node 10 with capacity 12,\nan edge from node 8 to node 7 with capacity 16,\nan edge from node 9 to node 0 with capacity 14,\nan edge from node 9 to node 7 with capacity 1,\nan edge from node 9 to node 5 with capacity 7,\nan edge from node 10 to node 7 with capacity 10,\nan edge from node 10 to node 3 with capacity 13,\nan edge from node 10 to node 6 with capacity 3,\nWhat is the maximum flow from node 0 to node 10:"
            },
            {
                "from": "gpt",
                "value": "2."
            }
        ]
    },
    {
        "id": "flow-hard-graph889",
        "image": "data/flow/graph_visual/hard/graph889.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 8 with capacity 12,\nan edge from node 0 to node 1 with capacity 20,\nan edge from node 0 to node 5 with capacity 10,\nan edge from node 0 to node 2 with capacity 13,\nan edge from node 1 to node 5 with capacity 20,\nan edge from node 1 to node 4 with capacity 10,\nan edge from node 1 to node 6 with capacity 14,\nan edge from node 1 to node 7 with capacity 15,\nan edge from node 2 to node 11 with capacity 18,\nan edge from node 3 to node 14 with capacity 15,\nan edge from node 3 to node 1 with capacity 20,\nan edge from node 4 to node 15 with capacity 16,\nan edge from node 4 to node 0 with capacity 4,\nan edge from node 4 to node 6 with capacity 2,\nan edge from node 4 to node 2 with capacity 6,\nan edge from node 5 to node 9 with capacity 17,\nan edge from node 5 to node 15 with capacity 16,\nan edge from node 5 to node 14 with capacity 19,\nan edge from node 5 to node 12 with capacity 8,\nan edge from node 5 to node 3 with capacity 4,\nan edge from node 6 to node 15 with capacity 1,\nan edge from node 6 to node 17 with capacity 6,\nan edge from node 7 to node 9 with capacity 5,\nan edge from node 7 to node 11 with capacity 16,\nan edge from node 7 to node 10 with capacity 16,\nan edge from node 7 to node 4 with capacity 17,\nan edge from node 7 to node 2 with capacity 1,\nan edge from node 7 to node 3 with capacity 18,\nan edge from node 8 to node 9 with capacity 6,\nan edge from node 8 to node 14 with capacity 8,\nan edge from node 8 to node 1 with capacity 12,\nan edge from node 8 to node 6 with capacity 18,\nan edge from node 9 to node 5 with capacity 15,\nan edge from node 9 to node 2 with capacity 1,\nan edge from node 9 to node 16 with capacity 19,\nan edge from node 9 to node 3 with capacity 4,\nan edge from node 10 to node 15 with capacity 6,\nan edge from node 10 to node 4 with capacity 16,\nan edge from node 10 to node 7 with capacity 8,\nan edge from node 11 to node 9 with capacity 9,\nan edge from node 11 to node 8 with capacity 19,\nan edge from node 11 to node 1 with capacity 16,\nan edge from node 11 to node 0 with capacity 4,\nan edge from node 12 to node 8 with capacity 7,\nan edge from node 12 to node 10 with capacity 10,\nan edge from node 12 to node 5 with capacity 20,\nan edge from node 12 to node 0 with capacity 2,\nan edge from node 12 to node 17 with capacity 6,\nan edge from node 12 to node 13 with capacity 1,\nan edge from node 13 to node 8 with capacity 3,\nan edge from node 13 to node 11 with capacity 13,\nan edge from node 13 to node 5 with capacity 8,\nan edge from node 13 to node 6 with capacity 10,\nan edge from node 14 to node 9 with capacity 20,\nan edge from node 14 to node 5 with capacity 4,\nan edge from node 14 to node 3 with capacity 12,\nan edge from node 15 to node 8 with capacity 18,\nan edge from node 15 to node 4 with capacity 4,\nan edge from node 15 to node 16 with capacity 8,\nan edge from node 15 to node 17 with capacity 12,\nan edge from node 16 to node 9 with capacity 13,\nan edge from node 16 to node 11 with capacity 12,\nan edge from node 16 to node 12 with capacity 20,\nan edge from node 16 to node 6 with capacity 4,\nan edge from node 16 to node 17 with capacity 10,\nan edge from node 17 to node 8 with capacity 9,\nan edge from node 17 to node 11 with capacity 9,\nan edge from node 17 to node 14 with capacity 13,\nan edge from node 17 to node 5 with capacity 15,\nan edge from node 17 to node 0 with capacity 3,\nan edge from node 17 to node 4 with capacity 12,\nan edge from node 17 to node 6 with capacity 18,\nan edge from node 17 to node 13 with capacity 14,\nWhat is the maximum flow from node 7 to node 6:"
            },
            {
                "from": "gpt",
                "value": "66."
            }
        ]
    },
    {
        "id": "flow-hard-graph112",
        "image": "data/flow/graph_visual/hard/graph112.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 1 to node 8 with capacity 16,\nan edge from node 1 to node 7 with capacity 4,\nan edge from node 2 to node 10 with capacity 17,\nan edge from node 2 to node 0 with capacity 8,\nan edge from node 2 to node 8 with capacity 12,\nan edge from node 2 to node 7 with capacity 2,\nan edge from node 3 to node 9 with capacity 4,\nan edge from node 3 to node 5 with capacity 12,\nan edge from node 3 to node 4 with capacity 1,\nan edge from node 4 to node 10 with capacity 13,\nan edge from node 4 to node 6 with capacity 15,\nan edge from node 4 to node 9 with capacity 20,\nan edge from node 4 to node 5 with capacity 17,\nan edge from node 4 to node 8 with capacity 20,\nan edge from node 5 to node 2 with capacity 17,\nan edge from node 5 to node 0 with capacity 8,\nan edge from node 6 to node 1 with capacity 10,\nan edge from node 7 to node 10 with capacity 10,\nan edge from node 7 to node 6 with capacity 2,\nan edge from node 7 to node 5 with capacity 16,\nan edge from node 7 to node 2 with capacity 6,\nan edge from node 8 to node 1 with capacity 18,\nan edge from node 8 to node 10 with capacity 3,\nan edge from node 9 to node 1 with capacity 19,\nan edge from node 9 to node 2 with capacity 13,\nan edge from node 9 to node 4 with capacity 12,\nan edge from node 10 to node 1 with capacity 6,\nan edge from node 10 to node 9 with capacity 20,\nan edge from node 10 to node 5 with capacity 18,\nan edge from node 10 to node 0 with capacity 10,\nWhat is the maximum flow from node 10 to node 1:"
            },
            {
                "from": "gpt",
                "value": "40."
            }
        ]
    },
    {
        "id": "flow-hard-graph685",
        "image": "data/flow/graph_visual/hard/graph685.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 1 with capacity 15,\nan edge from node 0 to node 3 with capacity 9,\nan edge from node 1 to node 11 with capacity 4,\nan edge from node 1 to node 4 with capacity 6,\nan edge from node 1 to node 7 with capacity 1,\nan edge from node 1 to node 9 with capacity 8,\nan edge from node 2 to node 5 with capacity 3,\nan edge from node 2 to node 6 with capacity 20,\nan edge from node 2 to node 1 with capacity 20,\nan edge from node 2 to node 4 with capacity 3,\nan edge from node 3 to node 12 with capacity 6,\nan edge from node 3 to node 2 with capacity 11,\nan edge from node 4 to node 13 with capacity 5,\nan edge from node 4 to node 3 with capacity 6,\nan edge from node 4 to node 12 with capacity 4,\nan edge from node 4 to node 7 with capacity 5,\nan edge from node 5 to node 15 with capacity 13,\nan edge from node 5 to node 1 with capacity 5,\nan edge from node 5 to node 2 with capacity 16,\nan edge from node 5 to node 7 with capacity 17,\nan edge from node 6 to node 14 with capacity 18,\nan edge from node 6 to node 3 with capacity 6,\nan edge from node 6 to node 12 with capacity 7,\nan edge from node 6 to node 2 with capacity 13,\nan edge from node 7 to node 0 with capacity 2,\nan edge from node 7 to node 13 with capacity 7,\nan edge from node 7 to node 4 with capacity 11,\nan edge from node 7 to node 10 with capacity 15,\nan edge from node 8 to node 12 with capacity 16,\nan edge from node 8 to node 7 with capacity 13,\nan edge from node 9 to node 5 with capacity 7,\nan edge from node 9 to node 15 with capacity 20,\nan edge from node 9 to node 11 with capacity 12,\nan edge from node 9 to node 14 with capacity 4,\nan edge from node 10 to node 1 with capacity 13,\nan edge from node 10 to node 8 with capacity 2,\nan edge from node 10 to node 2 with capacity 4,\nan edge from node 10 to node 7 with capacity 17,\nan edge from node 11 to node 8 with capacity 1,\nan edge from node 11 to node 3 with capacity 11,\nan edge from node 11 to node 2 with capacity 2,\nan edge from node 12 to node 15 with capacity 6,\nan edge from node 12 to node 1 with capacity 12,\nan edge from node 12 to node 4 with capacity 1,\nan edge from node 12 to node 2 with capacity 12,\nan edge from node 13 to node 15 with capacity 15,\nan edge from node 13 to node 6 with capacity 13,\nan edge from node 13 to node 1 with capacity 8,\nan edge from node 13 to node 14 with capacity 20,\nan edge from node 13 to node 12 with capacity 9,\nan edge from node 13 to node 7 with capacity 18,\nan edge from node 14 to node 5 with capacity 12,\nan edge from node 14 to node 8 with capacity 19,\nan edge from node 14 to node 10 with capacity 4,\nan edge from node 15 to node 5 with capacity 11,\nan edge from node 15 to node 3 with capacity 5,\nan edge from node 15 to node 9 with capacity 18,\nWhat is the maximum flow from node 9 to node 6:"
            },
            {
                "from": "gpt",
                "value": "32."
            }
        ]
    },
    {
        "id": "flow-hard-graph703",
        "image": "data/flow/graph_visual/hard/graph703.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 7 with capacity 7,\nan edge from node 0 to node 5 with capacity 1,\nan edge from node 0 to node 11 with capacity 12,\nan edge from node 1 to node 3 with capacity 12,\nan edge from node 1 to node 15 with capacity 13,\nan edge from node 3 to node 13 with capacity 12,\nan edge from node 3 to node 14 with capacity 15,\nan edge from node 3 to node 7 with capacity 16,\nan edge from node 4 to node 7 with capacity 6,\nan edge from node 4 to node 3 with capacity 1,\nan edge from node 4 to node 10 with capacity 2,\nan edge from node 4 to node 15 with capacity 20,\nan edge from node 4 to node 6 with capacity 6,\nan edge from node 5 to node 10 with capacity 14,\nan edge from node 5 to node 15 with capacity 2,\nan edge from node 5 to node 8 with capacity 17,\nan edge from node 6 to node 4 with capacity 2,\nan edge from node 6 to node 5 with capacity 6,\nan edge from node 6 to node 10 with capacity 3,\nan edge from node 7 to node 12 with capacity 19,\nan edge from node 7 to node 1 with capacity 14,\nan edge from node 8 to node 12 with capacity 17,\nan edge from node 8 to node 2 with capacity 15,\nan edge from node 8 to node 15 with capacity 18,\nan edge from node 8 to node 6 with capacity 7,\nan edge from node 9 to node 13 with capacity 11,\nan edge from node 9 to node 3 with capacity 14,\nan edge from node 9 to node 5 with capacity 3,\nan edge from node 9 to node 10 with capacity 8,\nan edge from node 9 to node 6 with capacity 12,\nan edge from node 10 to node 1 with capacity 6,\nan edge from node 10 to node 3 with capacity 16,\nan edge from node 10 to node 5 with capacity 16,\nan edge from node 11 to node 13 with capacity 8,\nan edge from node 11 to node 2 with capacity 5,\nan edge from node 11 to node 10 with capacity 4,\nan edge from node 12 to node 13 with capacity 9,\nan edge from node 12 to node 1 with capacity 3,\nan edge from node 12 to node 7 with capacity 9,\nan edge from node 12 to node 8 with capacity 10,\nan edge from node 13 to node 4 with capacity 9,\nan edge from node 13 to node 15 with capacity 3,\nan edge from node 13 to node 8 with capacity 1,\nan edge from node 14 to node 1 with capacity 6,\nan edge from node 14 to node 2 with capacity 5,\nan edge from node 14 to node 7 with capacity 5,\nan edge from node 14 to node 3 with capacity 17,\nan edge from node 14 to node 10 with capacity 5,\nan edge from node 15 to node 13 with capacity 2,\nan edge from node 15 to node 1 with capacity 11,\nan edge from node 15 to node 4 with capacity 5,\nan edge from node 15 to node 7 with capacity 11,\nWhat is the maximum flow from node 6 to node 4:"
            },
            {
                "from": "gpt",
                "value": "11."
            }
        ]
    },
    {
        "id": "flow-hard-graph158",
        "image": "data/flow/graph_visual/hard/graph158.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 3 with capacity 19,\nan edge from node 1 to node 4 with capacity 7,\nan edge from node 1 to node 0 with capacity 13,\nan edge from node 1 to node 2 with capacity 7,\nan edge from node 1 to node 8 with capacity 4,\nan edge from node 1 to node 7 with capacity 8,\nan edge from node 2 to node 11 with capacity 13,\nan edge from node 2 to node 3 with capacity 4,\nan edge from node 2 to node 0 with capacity 8,\nan edge from node 3 to node 5 with capacity 16,\nan edge from node 3 to node 9 with capacity 1,\nan edge from node 3 to node 0 with capacity 13,\nan edge from node 3 to node 2 with capacity 8,\nan edge from node 4 to node 10 with capacity 6,\nan edge from node 4 to node 9 with capacity 18,\nan edge from node 4 to node 3 with capacity 15,\nan edge from node 4 to node 0 with capacity 6,\nan edge from node 5 to node 3 with capacity 4,\nan edge from node 5 to node 7 with capacity 2,\nan edge from node 6 to node 4 with capacity 15,\nan edge from node 6 to node 1 with capacity 16,\nan edge from node 6 to node 7 with capacity 15,\nan edge from node 7 to node 6 with capacity 19,\nan edge from node 8 to node 1 with capacity 7,\nan edge from node 9 to node 5 with capacity 17,\nan edge from node 9 to node 4 with capacity 5,\nan edge from node 9 to node 1 with capacity 7,\nan edge from node 10 to node 4 with capacity 20,\nan edge from node 10 to node 0 with capacity 16,\nan edge from node 11 to node 5 with capacity 8,\nan edge from node 11 to node 3 with capacity 5,\nan edge from node 11 to node 8 with capacity 6,\nan edge from node 11 to node 7 with capacity 20,\nWhat is the maximum flow from node 9 to node 2:"
            },
            {
                "from": "gpt",
                "value": "15."
            }
        ]
    },
    {
        "id": "flow-hard-graph455",
        "image": "data/flow/graph_visual/hard/graph455.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 11 with capacity 12,\nan edge from node 0 to node 3 with capacity 2,\nan edge from node 0 to node 7 with capacity 13,\nan edge from node 0 to node 1 with capacity 5,\nan edge from node 1 to node 4 with capacity 13,\nan edge from node 1 to node 3 with capacity 4,\nan edge from node 1 to node 13 with capacity 13,\nan edge from node 2 to node 11 with capacity 5,\nan edge from node 2 to node 3 with capacity 15,\nan edge from node 2 to node 7 with capacity 12,\nan edge from node 3 to node 4 with capacity 14,\nan edge from node 3 to node 8 with capacity 8,\nan edge from node 3 to node 10 with capacity 7,\nan edge from node 3 to node 7 with capacity 7,\nan edge from node 3 to node 12 with capacity 4,\nan edge from node 4 to node 8 with capacity 7,\nan edge from node 4 to node 9 with capacity 8,\nan edge from node 4 to node 3 with capacity 12,\nan edge from node 4 to node 0 with capacity 6,\nan edge from node 4 to node 1 with capacity 5,\nan edge from node 5 to node 11 with capacity 7,\nan edge from node 5 to node 3 with capacity 3,\nan edge from node 6 to node 11 with capacity 14,\nan edge from node 6 to node 8 with capacity 5,\nan edge from node 6 to node 9 with capacity 3,\nan edge from node 6 to node 0 with capacity 15,\nan edge from node 7 to node 6 with capacity 15,\nan edge from node 7 to node 2 with capacity 5,\nan edge from node 8 to node 10 with capacity 6,\nan edge from node 8 to node 5 with capacity 2,\nan edge from node 8 to node 7 with capacity 9,\nan edge from node 9 to node 11 with capacity 7,\nan edge from node 9 to node 10 with capacity 20,\nan edge from node 9 to node 6 with capacity 14,\nan edge from node 9 to node 0 with capacity 4,\nan edge from node 10 to node 4 with capacity 8,\nan edge from node 10 to node 8 with capacity 13,\nan edge from node 10 to node 9 with capacity 18,\nan edge from node 11 to node 5 with capacity 2,\nan edge from node 11 to node 2 with capacity 14,\nan edge from node 11 to node 0 with capacity 10,\nan edge from node 12 to node 8 with capacity 18,\nan edge from node 12 to node 6 with capacity 19,\nan edge from node 12 to node 7 with capacity 12,\nan edge from node 12 to node 2 with capacity 2,\nan edge from node 12 to node 0 with capacity 18,\nan edge from node 13 to node 4 with capacity 8,\nan edge from node 13 to node 9 with capacity 18,\nan edge from node 13 to node 10 with capacity 11,\nan edge from node 13 to node 6 with capacity 5,\nan edge from node 13 to node 12 with capacity 12,\nWhat is the maximum flow from node 3 to node 6:"
            },
            {
                "from": "gpt",
                "value": "40."
            }
        ]
    },
    {
        "id": "flow-hard-graph82",
        "image": "data/flow/graph_visual/hard/graph82.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 6 with capacity 10,\nan edge from node 0 to node 9 with capacity 13,\nan edge from node 0 to node 2 with capacity 12,\nan edge from node 0 to node 10 with capacity 17,\nan edge from node 1 to node 2 with capacity 19,\nan edge from node 2 to node 0 with capacity 2,\nan edge from node 2 to node 9 with capacity 12,\nan edge from node 3 to node 7 with capacity 20,\nan edge from node 3 to node 4 with capacity 17,\nan edge from node 4 to node 0 with capacity 13,\nan edge from node 4 to node 6 with capacity 10,\nan edge from node 4 to node 3 with capacity 2,\nan edge from node 5 to node 7 with capacity 6,\nan edge from node 5 to node 4 with capacity 12,\nan edge from node 5 to node 2 with capacity 14,\nan edge from node 5 to node 1 with capacity 19,\nan edge from node 6 to node 0 with capacity 15,\nan edge from node 6 to node 4 with capacity 9,\nan edge from node 6 to node 10 with capacity 3,\nan edge from node 7 to node 2 with capacity 12,\nan edge from node 7 to node 8 with capacity 1,\nan edge from node 7 to node 1 with capacity 15,\nan edge from node 8 to node 7 with capacity 18,\nan edge from node 8 to node 2 with capacity 20,\nan edge from node 9 to node 7 with capacity 14,\nan edge from node 9 to node 10 with capacity 13,\nan edge from node 10 to node 0 with capacity 1,\nan edge from node 10 to node 7 with capacity 1,\nan edge from node 10 to node 2 with capacity 3,\nWhat is the maximum flow from node 9 to node 8:"
            },
            {
                "from": "gpt",
                "value": "1."
            }
        ]
    },
    {
        "id": "flow-hard-graph614",
        "image": "data/flow/graph_visual/hard/graph614.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 13 with capacity 10,\nan edge from node 0 to node 12 with capacity 10,\nan edge from node 0 to node 6 with capacity 4,\nan edge from node 1 to node 11 with capacity 19,\nan edge from node 1 to node 2 with capacity 4,\nan edge from node 1 to node 14 with capacity 17,\nan edge from node 2 to node 13 with capacity 10,\nan edge from node 2 to node 3 with capacity 9,\nan edge from node 2 to node 11 with capacity 12,\nan edge from node 2 to node 14 with capacity 14,\nan edge from node 2 to node 4 with capacity 17,\nan edge from node 3 to node 11 with capacity 8,\nan edge from node 3 to node 6 with capacity 5,\nan edge from node 3 to node 15 with capacity 5,\nan edge from node 3 to node 4 with capacity 3,\nan edge from node 4 to node 13 with capacity 7,\nan edge from node 4 to node 10 with capacity 8,\nan edge from node 4 to node 9 with capacity 14,\nan edge from node 4 to node 11 with capacity 12,\nan edge from node 4 to node 2 with capacity 2,\nan edge from node 4 to node 15 with capacity 9,\nan edge from node 5 to node 12 with capacity 12,\nan edge from node 5 to node 8 with capacity 11,\nan edge from node 5 to node 9 with capacity 7,\nan edge from node 6 to node 9 with capacity 1,\nan edge from node 6 to node 11 with capacity 7,\nan edge from node 6 to node 15 with capacity 18,\nan edge from node 7 to node 9 with capacity 12,\nan edge from node 7 to node 15 with capacity 4,\nan edge from node 7 to node 5 with capacity 11,\nan edge from node 8 to node 10 with capacity 9,\nan edge from node 8 to node 2 with capacity 9,\nan edge from node 8 to node 0 with capacity 19,\nan edge from node 8 to node 15 with capacity 9,\nan edge from node 9 to node 13 with capacity 5,\nan edge from node 9 to node 7 with capacity 15,\nan edge from node 9 to node 3 with capacity 15,\nan edge from node 9 to node 14 with capacity 5,\nan edge from node 10 to node 3 with capacity 9,\nan edge from node 10 to node 9 with capacity 10,\nan edge from node 10 to node 14 with capacity 4,\nan edge from node 11 to node 15 with capacity 2,\nan edge from node 12 to node 1 with capacity 6,\nan edge from node 12 to node 8 with capacity 8,\nan edge from node 12 to node 3 with capacity 15,\nan edge from node 12 to node 9 with capacity 10,\nan edge from node 12 to node 2 with capacity 11,\nan edge from node 12 to node 0 with capacity 13,\nan edge from node 12 to node 5 with capacity 15,\nan edge from node 13 to node 10 with capacity 16,\nan edge from node 13 to node 9 with capacity 18,\nan edge from node 13 to node 15 with capacity 10,\nan edge from node 13 to node 4 with capacity 12,\nan edge from node 14 to node 12 with capacity 16,\nan edge from node 14 to node 7 with capacity 1,\nan edge from node 14 to node 9 with capacity 5,\nan edge from node 14 to node 11 with capacity 6,\nan edge from node 15 to node 1 with capacity 16,\nan edge from node 15 to node 12 with capacity 2,\nan edge from node 15 to node 9 with capacity 7,\nan edge from node 15 to node 5 with capacity 14,\nWhat is the maximum flow from node 10 to node 8:"
            },
            {
                "from": "gpt",
                "value": "19."
            }
        ]
    },
    {
        "id": "flow-hard-graph986",
        "image": "data/flow/graph_visual/hard/graph986.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 9 with capacity 9,\nan edge from node 0 to node 10 with capacity 10,\nan edge from node 0 to node 16 with capacity 8,\nan edge from node 0 to node 18 with capacity 19,\nan edge from node 0 to node 2 with capacity 3,\nan edge from node 1 to node 7 with capacity 5,\nan edge from node 1 to node 15 with capacity 20,\nan edge from node 1 to node 13 with capacity 18,\nan edge from node 1 to node 2 with capacity 10,\nan edge from node 2 to node 6 with capacity 11,\nan edge from node 2 to node 4 with capacity 7,\nan edge from node 2 to node 9 with capacity 4,\nan edge from node 2 to node 12 with capacity 4,\nan edge from node 2 to node 14 with capacity 14,\nan edge from node 2 to node 17 with capacity 6,\nan edge from node 2 to node 13 with capacity 18,\nan edge from node 2 to node 8 with capacity 15,\nan edge from node 2 to node 0 with capacity 17,\nan edge from node 3 to node 12 with capacity 5,\nan edge from node 4 to node 12 with capacity 4,\nan edge from node 4 to node 15 with capacity 17,\nan edge from node 4 to node 14 with capacity 5,\nan edge from node 4 to node 16 with capacity 16,\nan edge from node 4 to node 8 with capacity 12,\nan edge from node 4 to node 0 with capacity 17,\nan edge from node 5 to node 12 with capacity 17,\nan edge from node 6 to node 9 with capacity 6,\nan edge from node 6 to node 15 with capacity 19,\nan edge from node 6 to node 17 with capacity 9,\nan edge from node 6 to node 13 with capacity 20,\nan edge from node 6 to node 16 with capacity 2,\nan edge from node 7 to node 6 with capacity 2,\nan edge from node 7 to node 12 with capacity 2,\nan edge from node 7 to node 14 with capacity 17,\nan edge from node 7 to node 1 with capacity 14,\nan edge from node 7 to node 5 with capacity 2,\nan edge from node 7 to node 13 with capacity 8,\nan edge from node 7 to node 16 with capacity 15,\nan edge from node 7 to node 8 with capacity 11,\nan edge from node 7 to node 18 with capacity 1,\nan edge from node 7 to node 2 with capacity 8,\nan edge from node 8 to node 12 with capacity 20,\nan edge from node 8 to node 15 with capacity 19,\nan edge from node 8 to node 14 with capacity 2,\nan edge from node 8 to node 0 with capacity 19,\nan edge from node 9 to node 7 with capacity 20,\nan edge from node 9 to node 8 with capacity 2,\nan edge from node 10 to node 6 with capacity 6,\nan edge from node 10 to node 9 with capacity 7,\nan edge from node 10 to node 17 with capacity 15,\nan edge from node 11 to node 6 with capacity 10,\nan edge from node 11 to node 5 with capacity 19,\nan edge from node 11 to node 16 with capacity 18,\nan edge from node 11 to node 8 with capacity 9,\nan edge from node 12 to node 4 with capacity 8,\nan edge from node 12 to node 11 with capacity 17,\nan edge from node 12 to node 5 with capacity 18,\nan edge from node 12 to node 8 with capacity 6,\nan edge from node 12 to node 3 with capacity 9,\nan edge from node 13 to node 14 with capacity 7,\nan edge from node 13 to node 17 with capacity 15,\nan edge from node 13 to node 5 with capacity 10,\nan edge from node 13 to node 2 with capacity 12,\nan edge from node 14 to node 10 with capacity 13,\nan edge from node 14 to node 1 with capacity 2,\nan edge from node 14 to node 17 with capacity 1,\nan edge from node 14 to node 5 with capacity 2,\nan edge from node 14 to node 16 with capacity 12,\nan edge from node 15 to node 6 with capacity 2,\nan edge from node 15 to node 7 with capacity 15,\nan edge from node 15 to node 4 with capacity 19,\nan edge from node 15 to node 12 with capacity 9,\nan edge from node 15 to node 8 with capacity 6,\nan edge from node 16 to node 11 with capacity 12,\nan edge from node 16 to node 14 with capacity 10,\nan edge from node 16 to node 3 with capacity 1,\nan edge from node 17 to node 6 with capacity 13,\nan edge from node 17 to node 0 with capacity 12,\nan edge from node 17 to node 2 with capacity 8,\nan edge from node 18 to node 7 with capacity 9,\nan edge from node 18 to node 5 with capacity 16,\nan edge from node 18 to node 13 with capacity 17,\nan edge from node 18 to node 0 with capacity 6,\nWhat is the maximum flow from node 14 to node 2:"
            },
            {
                "from": "gpt",
                "value": "30."
            }
        ]
    },
    {
        "id": "flow-hard-graph33",
        "image": "data/flow/graph_visual/hard/graph33.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 2 with capacity 16,\nan edge from node 0 to node 7 with capacity 20,\nan edge from node 0 to node 6 with capacity 11,\nan edge from node 0 to node 10 with capacity 16,\nan edge from node 1 to node 0 with capacity 6,\nan edge from node 2 to node 1 with capacity 17,\nan edge from node 2 to node 7 with capacity 18,\nan edge from node 2 to node 5 with capacity 20,\nan edge from node 3 to node 0 with capacity 4,\nan edge from node 3 to node 8 with capacity 18,\nan edge from node 3 to node 4 with capacity 8,\nan edge from node 4 to node 7 with capacity 16,\nan edge from node 4 to node 6 with capacity 5,\nan edge from node 4 to node 10 with capacity 19,\nan edge from node 5 to node 0 with capacity 11,\nan edge from node 5 to node 2 with capacity 10,\nan edge from node 5 to node 6 with capacity 10,\nan edge from node 7 to node 9 with capacity 6,\nan edge from node 7 to node 3 with capacity 17,\nan edge from node 8 to node 0 with capacity 12,\nan edge from node 8 to node 1 with capacity 10,\nan edge from node 8 to node 3 with capacity 19,\nan edge from node 8 to node 7 with capacity 13,\nan edge from node 8 to node 5 with capacity 14,\nan edge from node 8 to node 10 with capacity 7,\nan edge from node 9 to node 3 with capacity 7,\nan edge from node 9 to node 2 with capacity 14,\nan edge from node 9 to node 7 with capacity 5,\nan edge from node 10 to node 0 with capacity 8,\nan edge from node 10 to node 2 with capacity 4,\nWhat is the maximum flow from node 0 to node 10:"
            },
            {
                "from": "gpt",
                "value": "31."
            }
        ]
    },
    {
        "id": "flow-hard-graph67",
        "image": "data/flow/graph_visual/hard/graph67.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 2 with capacity 3,\nan edge from node 0 to node 6 with capacity 10,\nan edge from node 0 to node 5 with capacity 11,\nan edge from node 1 to node 6 with capacity 4,\nan edge from node 1 to node 3 with capacity 13,\nan edge from node 1 to node 0 with capacity 20,\nan edge from node 2 to node 1 with capacity 8,\nan edge from node 2 to node 5 with capacity 20,\nan edge from node 2 to node 7 with capacity 6,\nan edge from node 3 to node 6 with capacity 20,\nan edge from node 3 to node 9 with capacity 20,\nan edge from node 3 to node 5 with capacity 20,\nan edge from node 4 to node 10 with capacity 5,\nan edge from node 5 to node 10 with capacity 17,\nan edge from node 5 to node 4 with capacity 11,\nan edge from node 6 to node 8 with capacity 17,\nan edge from node 6 to node 10 with capacity 11,\nan edge from node 6 to node 9 with capacity 17,\nan edge from node 6 to node 1 with capacity 16,\nan edge from node 7 to node 10 with capacity 3,\nan edge from node 7 to node 2 with capacity 2,\nan edge from node 8 to node 2 with capacity 4,\nan edge from node 8 to node 4 with capacity 18,\nan edge from node 8 to node 7 with capacity 19,\nan edge from node 9 to node 4 with capacity 9,\nan edge from node 9 to node 0 with capacity 6,\nan edge from node 10 to node 8 with capacity 19,\nan edge from node 10 to node 4 with capacity 2,\nWhat is the maximum flow from node 10 to node 5:"
            },
            {
                "from": "gpt",
                "value": "6."
            }
        ]
    },
    {
        "id": "flow-hard-graph657",
        "image": "data/flow/graph_visual/hard/graph657.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 11 with capacity 9,\nan edge from node 0 to node 7 with capacity 15,\nan edge from node 0 to node 6 with capacity 16,\nan edge from node 0 to node 9 with capacity 3,\nan edge from node 0 to node 10 with capacity 16,\nan edge from node 0 to node 14 with capacity 10,\nan edge from node 1 to node 0 with capacity 13,\nan edge from node 2 to node 3 with capacity 2,\nan edge from node 2 to node 11 with capacity 10,\nan edge from node 2 to node 0 with capacity 13,\nan edge from node 2 to node 10 with capacity 8,\nan edge from node 3 to node 1 with capacity 11,\nan edge from node 3 to node 9 with capacity 18,\nan edge from node 4 to node 7 with capacity 17,\nan edge from node 4 to node 10 with capacity 1,\nan edge from node 5 to node 13 with capacity 17,\nan edge from node 5 to node 11 with capacity 18,\nan edge from node 5 to node 6 with capacity 3,\nan edge from node 5 to node 12 with capacity 11,\nan edge from node 5 to node 10 with capacity 18,\nan edge from node 6 to node 3 with capacity 1,\nan edge from node 6 to node 15 with capacity 14,\nan edge from node 6 to node 2 with capacity 5,\nan edge from node 7 to node 10 with capacity 17,\nan edge from node 8 to node 0 with capacity 9,\nan edge from node 8 to node 4 with capacity 11,\nan edge from node 8 to node 12 with capacity 5,\nan edge from node 8 to node 10 with capacity 6,\nan edge from node 10 to node 1 with capacity 2,\nan edge from node 10 to node 15 with capacity 8,\nan edge from node 11 to node 13 with capacity 9,\nan edge from node 11 to node 5 with capacity 18,\nan edge from node 11 to node 7 with capacity 17,\nan edge from node 11 to node 8 with capacity 13,\nan edge from node 11 to node 12 with capacity 19,\nan edge from node 11 to node 9 with capacity 18,\nan edge from node 11 to node 10 with capacity 18,\nan edge from node 11 to node 2 with capacity 12,\nan edge from node 12 to node 3 with capacity 9,\nan edge from node 12 to node 4 with capacity 16,\nan edge from node 12 to node 15 with capacity 6,\nan edge from node 12 to node 14 with capacity 6,\nan edge from node 13 to node 1 with capacity 17,\nan edge from node 14 to node 1 with capacity 1,\nan edge from node 14 to node 15 with capacity 17,\nan edge from node 14 to node 10 with capacity 8,\nan edge from node 15 to node 0 with capacity 20,\nan edge from node 15 to node 12 with capacity 9,\nWhat is the maximum flow from node 0 to node 1:"
            },
            {
                "from": "gpt",
                "value": "27."
            }
        ]
    },
    {
        "id": "flow-hard-graph942",
        "image": "data/flow/graph_visual/hard/graph942.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 10 with capacity 19,\nan edge from node 0 to node 6 with capacity 11,\nan edge from node 0 to node 17 with capacity 6,\nan edge from node 1 to node 16 with capacity 17,\nan edge from node 1 to node 6 with capacity 20,\nan edge from node 1 to node 12 with capacity 12,\nan edge from node 1 to node 11 with capacity 4,\nan edge from node 1 to node 15 with capacity 20,\nan edge from node 2 to node 7 with capacity 5,\nan edge from node 2 to node 0 with capacity 15,\nan edge from node 3 to node 10 with capacity 20,\nan edge from node 3 to node 6 with capacity 11,\nan edge from node 3 to node 0 with capacity 16,\nan edge from node 3 to node 11 with capacity 9,\nan edge from node 3 to node 15 with capacity 10,\nan edge from node 4 to node 16 with capacity 4,\nan edge from node 4 to node 10 with capacity 12,\nan edge from node 4 to node 0 with capacity 19,\nan edge from node 4 to node 14 with capacity 16,\nan edge from node 5 to node 16 with capacity 3,\nan edge from node 5 to node 6 with capacity 4,\nan edge from node 5 to node 12 with capacity 10,\nan edge from node 5 to node 1 with capacity 20,\nan edge from node 5 to node 3 with capacity 19,\nan edge from node 5 to node 9 with capacity 15,\nan edge from node 5 to node 11 with capacity 19,\nan edge from node 5 to node 15 with capacity 9,\nan edge from node 5 to node 4 with capacity 14,\nan edge from node 6 to node 16 with capacity 13,\nan edge from node 6 to node 0 with capacity 20,\nan edge from node 6 to node 13 with capacity 8,\nan edge from node 7 to node 6 with capacity 20,\nan edge from node 7 to node 0 with capacity 3,\nan edge from node 7 to node 12 with capacity 6,\nan edge from node 7 to node 13 with capacity 2,\nan edge from node 7 to node 14 with capacity 6,\nan edge from node 7 to node 4 with capacity 1,\nan edge from node 8 to node 7 with capacity 20,\nan edge from node 8 to node 5 with capacity 8,\nan edge from node 9 to node 17 with capacity 4,\nan edge from node 9 to node 4 with capacity 19,\nan edge from node 10 to node 2 with capacity 10,\nan edge from node 10 to node 6 with capacity 19,\nan edge from node 10 to node 9 with capacity 5,\nan edge from node 11 to node 16 with capacity 3,\nan edge from node 11 to node 5 with capacity 11,\nan edge from node 11 to node 8 with capacity 16,\nan edge from node 12 to node 16 with capacity 12,\nan edge from node 12 to node 10 with capacity 17,\nan edge from node 12 to node 11 with capacity 13,\nan edge from node 12 to node 17 with capacity 8,\nan edge from node 12 to node 15 with capacity 6,\nan edge from node 12 to node 13 with capacity 16,\nan edge from node 13 to node 7 with capacity 7,\nan edge from node 13 to node 12 with capacity 2,\nan edge from node 13 to node 1 with capacity 15,\nan edge from node 13 to node 11 with capacity 16,\nan edge from node 13 to node 15 with capacity 9,\nan edge from node 14 to node 12 with capacity 10,\nan edge from node 14 to node 5 with capacity 14,\nan edge from node 14 to node 8 with capacity 15,\nan edge from node 15 to node 1 with capacity 7,\nan edge from node 15 to node 4 with capacity 10,\nan edge from node 16 to node 10 with capacity 5,\nan edge from node 16 to node 6 with capacity 9,\nan edge from node 16 to node 0 with capacity 20,\nan edge from node 16 to node 3 with capacity 13,\nan edge from node 16 to node 15 with capacity 7,\nan edge from node 17 to node 6 with capacity 4,\nan edge from node 17 to node 3 with capacity 15,\nan edge from node 17 to node 5 with capacity 8,\nan edge from node 17 to node 13 with capacity 8,\nan edge from node 17 to node 4 with capacity 5,\nWhat is the maximum flow from node 3 to node 1:"
            },
            {
                "from": "gpt",
                "value": "42."
            }
        ]
    },
    {
        "id": "flow-hard-graph514",
        "image": "data/flow/graph_visual/hard/graph514.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 6 with capacity 17,\nan edge from node 0 to node 14 with capacity 7,\nan edge from node 0 to node 9 with capacity 19,\nan edge from node 1 to node 6 with capacity 4,\nan edge from node 1 to node 14 with capacity 13,\nan edge from node 1 to node 12 with capacity 3,\nan edge from node 2 to node 1 with capacity 11,\nan edge from node 2 to node 3 with capacity 15,\nan edge from node 2 to node 5 with capacity 4,\nan edge from node 2 to node 13 with capacity 7,\nan edge from node 2 to node 9 with capacity 10,\nan edge from node 3 to node 6 with capacity 16,\nan edge from node 3 to node 10 with capacity 10,\nan edge from node 3 to node 11 with capacity 20,\nan edge from node 3 to node 0 with capacity 4,\nan edge from node 4 to node 12 with capacity 6,\nan edge from node 4 to node 13 with capacity 2,\nan edge from node 4 to node 7 with capacity 14,\nan edge from node 5 to node 6 with capacity 5,\nan edge from node 5 to node 3 with capacity 19,\nan edge from node 5 to node 11 with capacity 2,\nan edge from node 5 to node 4 with capacity 5,\nan edge from node 6 to node 1 with capacity 6,\nan edge from node 6 to node 10 with capacity 20,\nan edge from node 6 to node 14 with capacity 11,\nan edge from node 6 to node 2 with capacity 2,\nan edge from node 7 to node 1 with capacity 4,\nan edge from node 7 to node 10 with capacity 5,\nan edge from node 7 to node 11 with capacity 6,\nan edge from node 7 to node 4 with capacity 15,\nan edge from node 7 to node 0 with capacity 1,\nan edge from node 8 to node 12 with capacity 17,\nan edge from node 8 to node 2 with capacity 17,\nan edge from node 9 to node 1 with capacity 11,\nan edge from node 9 to node 6 with capacity 18,\nan edge from node 9 to node 12 with capacity 3,\nan edge from node 9 to node 4 with capacity 20,\nan edge from node 9 to node 0 with capacity 15,\nan edge from node 10 to node 7 with capacity 8,\nan edge from node 11 to node 6 with capacity 14,\nan edge from node 12 to node 6 with capacity 10,\nan edge from node 12 to node 3 with capacity 10,\nan edge from node 12 to node 14 with capacity 3,\nan edge from node 12 to node 8 with capacity 4,\nan edge from node 13 to node 1 with capacity 8,\nan edge from node 13 to node 6 with capacity 17,\nan edge from node 13 to node 9 with capacity 1,\nan edge from node 13 to node 8 with capacity 20,\nan edge from node 14 to node 6 with capacity 1,\nan edge from node 14 to node 5 with capacity 16,\nan edge from node 14 to node 2 with capacity 12,\nan edge from node 14 to node 7 with capacity 20,\nan edge from node 14 to node 8 with capacity 7,\nWhat is the maximum flow from node 14 to node 11:"
            },
            {
                "from": "gpt",
                "value": "28."
            }
        ]
    },
    {
        "id": "flow-hard-graph401",
        "image": "data/flow/graph_visual/hard/graph401.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 1 to node 12 with capacity 6,\nan edge from node 1 to node 11 with capacity 5,\nan edge from node 2 to node 6 with capacity 17,\nan edge from node 2 to node 12 with capacity 10,\nan edge from node 2 to node 0 with capacity 19,\nan edge from node 3 to node 1 with capacity 4,\nan edge from node 3 to node 12 with capacity 12,\nan edge from node 4 to node 2 with capacity 12,\nan edge from node 4 to node 5 with capacity 6,\nan edge from node 4 to node 9 with capacity 19,\nan edge from node 5 to node 1 with capacity 14,\nan edge from node 5 to node 8 with capacity 11,\nan edge from node 6 to node 13 with capacity 12,\nan edge from node 6 to node 12 with capacity 12,\nan edge from node 6 to node 0 with capacity 9,\nan edge from node 6 to node 5 with capacity 18,\nan edge from node 7 to node 3 with capacity 5,\nan edge from node 8 to node 7 with capacity 13,\nan edge from node 8 to node 3 with capacity 19,\nan edge from node 8 to node 12 with capacity 3,\nan edge from node 8 to node 4 with capacity 5,\nan edge from node 9 to node 13 with capacity 1,\nan edge from node 9 to node 0 with capacity 16,\nan edge from node 9 to node 11 with capacity 2,\nan edge from node 10 to node 3 with capacity 4,\nan edge from node 10 to node 1 with capacity 6,\nan edge from node 10 to node 5 with capacity 11,\nan edge from node 10 to node 8 with capacity 7,\nan edge from node 11 to node 12 with capacity 8,\nan edge from node 11 to node 8 with capacity 2,\nan edge from node 11 to node 9 with capacity 6,\nan edge from node 12 to node 7 with capacity 17,\nan edge from node 12 to node 5 with capacity 2,\nan edge from node 12 to node 8 with capacity 13,\nan edge from node 13 to node 7 with capacity 10,\nan edge from node 13 to node 3 with capacity 18,\nan edge from node 13 to node 1 with capacity 9,\nan edge from node 13 to node 12 with capacity 14,\nan edge from node 13 to node 0 with capacity 9,\nan edge from node 13 to node 9 with capacity 17,\nWhat is the maximum flow from node 4 to node 9:"
            },
            {
                "from": "gpt",
                "value": "36."
            }
        ]
    },
    {
        "id": "flow-hard-graph90",
        "image": "data/flow/graph_visual/hard/graph90.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 4 with capacity 11,\nan edge from node 0 to node 7 with capacity 9,\nan edge from node 1 to node 3 with capacity 10,\nan edge from node 2 to node 3 with capacity 1,\nan edge from node 2 to node 5 with capacity 2,\nan edge from node 3 to node 1 with capacity 5,\nan edge from node 3 to node 4 with capacity 5,\nan edge from node 3 to node 7 with capacity 3,\nan edge from node 3 to node 0 with capacity 12,\nan edge from node 5 to node 6 with capacity 3,\nan edge from node 5 to node 3 with capacity 2,\nan edge from node 6 to node 4 with capacity 17,\nan edge from node 6 to node 8 with capacity 11,\nan edge from node 7 to node 3 with capacity 20,\nan edge from node 8 to node 2 with capacity 5,\nan edge from node 8 to node 1 with capacity 2,\nan edge from node 8 to node 3 with capacity 6,\nan edge from node 9 to node 2 with capacity 17,\nan edge from node 9 to node 0 with capacity 19,\nan edge from node 10 to node 1 with capacity 4,\nan edge from node 10 to node 9 with capacity 11,\nWhat is the maximum flow from node 6 to node 0:"
            },
            {
                "from": "gpt",
                "value": "11."
            }
        ]
    },
    {
        "id": "flow-hard-graph425",
        "image": "data/flow/graph_visual/hard/graph425.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 12 with capacity 19,\nan edge from node 0 to node 11 with capacity 15,\nan edge from node 0 to node 8 with capacity 10,\nan edge from node 0 to node 5 with capacity 15,\nan edge from node 0 to node 2 with capacity 10,\nan edge from node 0 to node 9 with capacity 17,\nan edge from node 0 to node 6 with capacity 6,\nan edge from node 2 to node 12 with capacity 17,\nan edge from node 2 to node 1 with capacity 19,\nan edge from node 3 to node 12 with capacity 9,\nan edge from node 3 to node 8 with capacity 7,\nan edge from node 3 to node 4 with capacity 9,\nan edge from node 4 to node 8 with capacity 14,\nan edge from node 5 to node 10 with capacity 7,\nan edge from node 5 to node 7 with capacity 9,\nan edge from node 5 to node 2 with capacity 14,\nan edge from node 6 to node 12 with capacity 14,\nan edge from node 6 to node 0 with capacity 5,\nan edge from node 6 to node 3 with capacity 14,\nan edge from node 6 to node 11 with capacity 14,\nan edge from node 7 to node 3 with capacity 20,\nan edge from node 7 to node 11 with capacity 1,\nan edge from node 7 to node 8 with capacity 17,\nan edge from node 7 to node 9 with capacity 11,\nan edge from node 8 to node 10 with capacity 8,\nan edge from node 9 to node 12 with capacity 12,\nan edge from node 9 to node 5 with capacity 5,\nan edge from node 10 to node 12 with capacity 19,\nan edge from node 10 to node 11 with capacity 11,\nan edge from node 10 to node 7 with capacity 8,\nan edge from node 10 to node 9 with capacity 8,\nan edge from node 11 to node 12 with capacity 17,\nan edge from node 11 to node 0 with capacity 19,\nan edge from node 11 to node 10 with capacity 3,\nan edge from node 12 to node 11 with capacity 5,\nan edge from node 12 to node 8 with capacity 14,\nan edge from node 12 to node 5 with capacity 16,\nan edge from node 13 to node 0 with capacity 20,\nan edge from node 13 to node 3 with capacity 18,\nan edge from node 13 to node 1 with capacity 10,\nan edge from node 13 to node 10 with capacity 12,\nan edge from node 13 to node 7 with capacity 10,\nan edge from node 13 to node 2 with capacity 18,\nan edge from node 13 to node 9 with capacity 19,\nWhat is the maximum flow from node 11 to node 3:"
            },
            {
                "from": "gpt",
                "value": "23."
            }
        ]
    },
    {
        "id": "flow-hard-graph1040",
        "image": "data/flow/graph_visual/hard/graph1040.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 2 with capacity 2,\nan edge from node 0 to node 14 with capacity 19,\nan edge from node 0 to node 15 with capacity 19,\nan edge from node 0 to node 6 with capacity 5,\nan edge from node 0 to node 7 with capacity 18,\nan edge from node 1 to node 5 with capacity 12,\nan edge from node 1 to node 18 with capacity 6,\nan edge from node 1 to node 3 with capacity 4,\nan edge from node 1 to node 9 with capacity 16,\nan edge from node 1 to node 10 with capacity 17,\nan edge from node 1 to node 15 with capacity 10,\nan edge from node 2 to node 18 with capacity 14,\nan edge from node 2 to node 9 with capacity 3,\nan edge from node 2 to node 16 with capacity 11,\nan edge from node 3 to node 10 with capacity 20,\nan edge from node 3 to node 14 with capacity 17,\nan edge from node 3 to node 6 with capacity 10,\nan edge from node 4 to node 13 with capacity 3,\nan edge from node 4 to node 8 with capacity 1,\nan edge from node 5 to node 3 with capacity 7,\nan edge from node 5 to node 1 with capacity 15,\nan edge from node 5 to node 10 with capacity 1,\nan edge from node 5 to node 14 with capacity 19,\nan edge from node 6 to node 2 with capacity 19,\nan edge from node 6 to node 11 with capacity 16,\nan edge from node 6 to node 9 with capacity 3,\nan edge from node 6 to node 4 with capacity 11,\nan edge from node 6 to node 7 with capacity 14,\nan edge from node 7 to node 18 with capacity 12,\nan edge from node 7 to node 3 with capacity 8,\nan edge from node 8 to node 13 with capacity 14,\nan edge from node 8 to node 10 with capacity 4,\nan edge from node 8 to node 16 with capacity 12,\nan edge from node 8 to node 14 with capacity 18,\nan edge from node 8 to node 4 with capacity 14,\nan edge from node 8 to node 17 with capacity 5,\nan edge from node 9 to node 15 with capacity 6,\nan edge from node 9 to node 4 with capacity 9,\nan edge from node 10 to node 5 with capacity 4,\nan edge from node 10 to node 3 with capacity 16,\nan edge from node 10 to node 13 with capacity 12,\nan edge from node 10 to node 1 with capacity 11,\nan edge from node 10 to node 0 with capacity 2,\nan edge from node 10 to node 9 with capacity 16,\nan edge from node 10 to node 15 with capacity 2,\nan edge from node 10 to node 7 with capacity 12,\nan edge from node 11 to node 16 with capacity 15,\nan edge from node 11 to node 12 with capacity 11,\nan edge from node 11 to node 14 with capacity 17,\nan edge from node 11 to node 8 with capacity 11,\nan edge from node 11 to node 17 with capacity 9,\nan edge from node 11 to node 6 with capacity 11,\nan edge from node 12 to node 18 with capacity 13,\nan edge from node 12 to node 0 with capacity 4,\nan edge from node 12 to node 9 with capacity 11,\nan edge from node 12 to node 16 with capacity 10,\nan edge from node 12 to node 14 with capacity 7,\nan edge from node 12 to node 8 with capacity 9,\nan edge from node 12 to node 17 with capacity 4,\nan edge from node 13 to node 9 with capacity 14,\nan edge from node 13 to node 15 with capacity 17,\nan edge from node 13 to node 4 with capacity 18,\nan edge from node 14 to node 5 with capacity 14,\nan edge from node 14 to node 1 with capacity 19,\nan edge from node 14 to node 12 with capacity 17,\nan edge from node 14 to node 4 with capacity 14,\nan edge from node 15 to node 18 with capacity 5,\nan edge from node 15 to node 10 with capacity 1,\nan edge from node 15 to node 12 with capacity 20,\nan edge from node 15 to node 8 with capacity 7,\nan edge from node 15 to node 6 with capacity 1,\nan edge from node 15 to node 7 with capacity 2,\nan edge from node 16 to node 3 with capacity 2,\nan edge from node 16 to node 13 with capacity 16,\nan edge from node 16 to node 9 with capacity 10,\nan edge from node 16 to node 12 with capacity 12,\nan edge from node 16 to node 14 with capacity 15,\nan edge from node 16 to node 15 with capacity 1,\nan edge from node 16 to node 8 with capacity 19,\nan edge from node 17 to node 11 with capacity 2,\nan edge from node 17 to node 9 with capacity 16,\nan edge from node 18 to node 2 with capacity 2,\nan edge from node 18 to node 11 with capacity 10,\nan edge from node 18 to node 12 with capacity 2,\nan edge from node 18 to node 6 with capacity 4,\nWhat is the maximum flow from node 12 to node 5:"
            },
            {
                "from": "gpt",
                "value": "30."
            }
        ]
    },
    {
        "id": "flow-hard-graph989",
        "image": "data/flow/graph_visual/hard/graph989.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 5 with capacity 18,\nan edge from node 0 to node 2 with capacity 1,\nan edge from node 0 to node 6 with capacity 2,\nan edge from node 0 to node 11 with capacity 2,\nan edge from node 0 to node 7 with capacity 2,\nan edge from node 0 to node 15 with capacity 20,\nan edge from node 0 to node 9 with capacity 18,\nan edge from node 0 to node 14 with capacity 14,\nan edge from node 1 to node 17 with capacity 7,\nan edge from node 1 to node 2 with capacity 8,\nan edge from node 1 to node 6 with capacity 3,\nan edge from node 2 to node 17 with capacity 1,\nan edge from node 2 to node 0 with capacity 15,\nan edge from node 2 to node 16 with capacity 2,\nan edge from node 2 to node 9 with capacity 5,\nan edge from node 3 to node 8 with capacity 14,\nan edge from node 3 to node 1 with capacity 9,\nan edge from node 3 to node 18 with capacity 14,\nan edge from node 3 to node 17 with capacity 10,\nan edge from node 3 to node 6 with capacity 1,\nan edge from node 3 to node 13 with capacity 19,\nan edge from node 3 to node 7 with capacity 6,\nan edge from node 3 to node 15 with capacity 14,\nan edge from node 4 to node 8 with capacity 7,\nan edge from node 4 to node 10 with capacity 14,\nan edge from node 4 to node 0 with capacity 11,\nan edge from node 4 to node 6 with capacity 15,\nan edge from node 4 to node 12 with capacity 9,\nan edge from node 4 to node 14 with capacity 3,\nan edge from node 5 to node 0 with capacity 17,\nan edge from node 5 to node 12 with capacity 20,\nan edge from node 6 to node 13 with capacity 13,\nan edge from node 7 to node 12 with capacity 17,\nan edge from node 7 to node 13 with capacity 7,\nan edge from node 7 to node 16 with capacity 2,\nan edge from node 7 to node 9 with capacity 12,\nan edge from node 8 to node 10 with capacity 3,\nan edge from node 8 to node 0 with capacity 9,\nan edge from node 8 to node 13 with capacity 1,\nan edge from node 8 to node 15 with capacity 8,\nan edge from node 9 to node 18 with capacity 9,\nan edge from node 9 to node 11 with capacity 12,\nan edge from node 10 to node 17 with capacity 1,\nan edge from node 10 to node 3 with capacity 4,\nan edge from node 10 to node 15 with capacity 10,\nan edge from node 10 to node 9 with capacity 12,\nan edge from node 11 to node 2 with capacity 12,\nan edge from node 11 to node 3 with capacity 10,\nan edge from node 12 to node 1 with capacity 11,\nan edge from node 12 to node 0 with capacity 1,\nan edge from node 12 to node 3 with capacity 17,\nan edge from node 12 to node 4 with capacity 8,\nan edge from node 12 to node 9 with capacity 12,\nan edge from node 13 to node 7 with capacity 9,\nan edge from node 14 to node 5 with capacity 12,\nan edge from node 14 to node 2 with capacity 6,\nan edge from node 14 to node 6 with capacity 10,\nan edge from node 14 to node 11 with capacity 3,\nan edge from node 14 to node 9 with capacity 20,\nan edge from node 15 to node 11 with capacity 15,\nan edge from node 15 to node 14 with capacity 17,\nan edge from node 16 to node 1 with capacity 6,\nan edge from node 16 to node 3 with capacity 20,\nan edge from node 16 to node 14 with capacity 11,\nan edge from node 17 to node 6 with capacity 2,\nan edge from node 17 to node 9 with capacity 4,\nan edge from node 18 to node 4 with capacity 10,\nan edge from node 18 to node 11 with capacity 4,\nan edge from node 18 to node 14 with capacity 11,\nWhat is the maximum flow from node 0 to node 17:"
            },
            {
                "from": "gpt",
                "value": "19."
            }
        ]
    },
    {
        "id": "flow-hard-graph992",
        "image": "data/flow/graph_visual/hard/graph992.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 4 with capacity 9,\nan edge from node 0 to node 11 with capacity 1,\nan edge from node 0 to node 7 with capacity 14,\nan edge from node 0 to node 2 with capacity 9,\nan edge from node 0 to node 10 with capacity 3,\nan edge from node 1 to node 4 with capacity 19,\nan edge from node 1 to node 6 with capacity 6,\nan edge from node 1 to node 9 with capacity 1,\nan edge from node 1 to node 13 with capacity 19,\nan edge from node 1 to node 15 with capacity 11,\nan edge from node 1 to node 10 with capacity 5,\nan edge from node 2 to node 0 with capacity 15,\nan edge from node 2 to node 1 with capacity 7,\nan edge from node 3 to node 6 with capacity 1,\nan edge from node 4 to node 7 with capacity 5,\nan edge from node 4 to node 2 with capacity 4,\nan edge from node 5 to node 7 with capacity 1,\nan edge from node 5 to node 12 with capacity 12,\nan edge from node 5 to node 3 with capacity 19,\nan edge from node 5 to node 14 with capacity 1,\nan edge from node 6 to node 4 with capacity 17,\nan edge from node 6 to node 0 with capacity 13,\nan edge from node 6 to node 13 with capacity 15,\nan edge from node 6 to node 12 with capacity 15,\nan edge from node 6 to node 8 with capacity 14,\nan edge from node 7 to node 1 with capacity 18,\nan edge from node 7 to node 16 with capacity 1,\nan edge from node 7 to node 2 with capacity 10,\nan edge from node 7 to node 15 with capacity 20,\nan edge from node 7 to node 10 with capacity 8,\nan edge from node 8 to node 18 with capacity 4,\nan edge from node 8 to node 13 with capacity 4,\nan edge from node 8 to node 12 with capacity 12,\nan edge from node 8 to node 17 with capacity 9,\nan edge from node 8 to node 16 with capacity 2,\nan edge from node 9 to node 18 with capacity 5,\nan edge from node 9 to node 4 with capacity 15,\nan edge from node 9 to node 7 with capacity 6,\nan edge from node 9 to node 1 with capacity 16,\nan edge from node 9 to node 17 with capacity 9,\nan edge from node 9 to node 15 with capacity 3,\nan edge from node 9 to node 3 with capacity 6,\nan edge from node 9 to node 10 with capacity 18,\nan edge from node 10 to node 18 with capacity 11,\nan edge from node 10 to node 5 with capacity 6,\nan edge from node 11 to node 7 with capacity 7,\nan edge from node 11 to node 13 with capacity 7,\nan edge from node 11 to node 3 with capacity 1,\nan edge from node 11 to node 14 with capacity 13,\nan edge from node 12 to node 4 with capacity 19,\nan edge from node 12 to node 13 with capacity 2,\nan edge from node 12 to node 16 with capacity 5,\nan edge from node 12 to node 3 with capacity 18,\nan edge from node 12 to node 14 with capacity 1,\nan edge from node 13 to node 1 with capacity 14,\nan edge from node 13 to node 3 with capacity 9,\nan edge from node 14 to node 4 with capacity 5,\nan edge from node 14 to node 5 with capacity 15,\nan edge from node 14 to node 13 with capacity 17,\nan edge from node 14 to node 17 with capacity 19,\nan edge from node 14 to node 15 with capacity 5,\nan edge from node 15 to node 18 with capacity 16,\nan edge from node 15 to node 1 with capacity 20,\nan edge from node 15 to node 12 with capacity 1,\nan edge from node 15 to node 16 with capacity 1,\nan edge from node 15 to node 3 with capacity 5,\nan edge from node 16 to node 4 with capacity 9,\nan edge from node 16 to node 9 with capacity 3,\nan edge from node 16 to node 1 with capacity 18,\nan edge from node 16 to node 12 with capacity 8,\nan edge from node 16 to node 2 with capacity 5,\nan edge from node 17 to node 6 with capacity 9,\nan edge from node 17 to node 12 with capacity 11,\nan edge from node 17 to node 14 with capacity 1,\nan edge from node 18 to node 11 with capacity 8,\nan edge from node 18 to node 6 with capacity 15,\nan edge from node 18 to node 9 with capacity 10,\nan edge from node 18 to node 13 with capacity 12,\nan edge from node 18 to node 12 with capacity 20,\nan edge from node 18 to node 17 with capacity 7,\nWhat is the maximum flow from node 7 to node 0:"
            },
            {
                "from": "gpt",
                "value": "28."
            }
        ]
    },
    {
        "id": "flow-hard-graph564",
        "image": "data/flow/graph_visual/hard/graph564.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 7 with capacity 4,\nan edge from node 0 to node 8 with capacity 8,\nan edge from node 0 to node 9 with capacity 17,\nan edge from node 1 to node 6 with capacity 15,\nan edge from node 1 to node 10 with capacity 1,\nan edge from node 1 to node 5 with capacity 2,\nan edge from node 2 to node 9 with capacity 2,\nan edge from node 2 to node 0 with capacity 13,\nan edge from node 2 to node 4 with capacity 12,\nan edge from node 3 to node 4 with capacity 16,\nan edge from node 4 to node 6 with capacity 6,\nan edge from node 4 to node 3 with capacity 11,\nan edge from node 4 to node 9 with capacity 16,\nan edge from node 4 to node 11 with capacity 17,\nan edge from node 5 to node 8 with capacity 20,\nan edge from node 5 to node 10 with capacity 3,\nan edge from node 5 to node 9 with capacity 4,\nan edge from node 5 to node 0 with capacity 1,\nan edge from node 5 to node 14 with capacity 15,\nan edge from node 6 to node 13 with capacity 13,\nan edge from node 6 to node 10 with capacity 18,\nan edge from node 6 to node 11 with capacity 20,\nan edge from node 7 to node 1 with capacity 9,\nan edge from node 7 to node 3 with capacity 4,\nan edge from node 7 to node 8 with capacity 12,\nan edge from node 7 to node 2 with capacity 11,\nan edge from node 8 to node 7 with capacity 3,\nan edge from node 8 to node 10 with capacity 1,\nan edge from node 8 to node 0 with capacity 15,\nan edge from node 9 to node 3 with capacity 19,\nan edge from node 9 to node 8 with capacity 17,\nan edge from node 9 to node 2 with capacity 13,\nan edge from node 9 to node 4 with capacity 13,\nan edge from node 9 to node 5 with capacity 3,\nan edge from node 10 to node 7 with capacity 2,\nan edge from node 10 to node 0 with capacity 19,\nan edge from node 10 to node 11 with capacity 10,\nan edge from node 11 to node 6 with capacity 2,\nan edge from node 12 to node 2 with capacity 9,\nan edge from node 12 to node 5 with capacity 19,\nan edge from node 13 to node 6 with capacity 15,\nan edge from node 13 to node 3 with capacity 6,\nan edge from node 13 to node 10 with capacity 17,\nan edge from node 13 to node 9 with capacity 10,\nan edge from node 13 to node 11 with capacity 13,\nan edge from node 14 to node 7 with capacity 15,\nan edge from node 14 to node 9 with capacity 9,\nWhat is the maximum flow from node 6 to node 4:"
            },
            {
                "from": "gpt",
                "value": "31."
            }
        ]
    },
    {
        "id": "flow-hard-graph537",
        "image": "data/flow/graph_visual/hard/graph537.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 9 with capacity 9,\nan edge from node 0 to node 12 with capacity 6,\nan edge from node 0 to node 5 with capacity 19,\nan edge from node 0 to node 1 with capacity 15,\nan edge from node 1 to node 9 with capacity 7,\nan edge from node 1 to node 7 with capacity 11,\nan edge from node 1 to node 5 with capacity 13,\nan edge from node 1 to node 14 with capacity 10,\nan edge from node 1 to node 0 with capacity 17,\nan edge from node 1 to node 11 with capacity 14,\nan edge from node 2 to node 9 with capacity 11,\nan edge from node 2 to node 7 with capacity 7,\nan edge from node 2 to node 0 with capacity 8,\nan edge from node 3 to node 6 with capacity 18,\nan edge from node 4 to node 7 with capacity 7,\nan edge from node 5 to node 13 with capacity 19,\nan edge from node 5 to node 7 with capacity 1,\nan edge from node 5 to node 12 with capacity 2,\nan edge from node 5 to node 6 with capacity 16,\nan edge from node 5 to node 4 with capacity 18,\nan edge from node 5 to node 10 with capacity 6,\nan edge from node 5 to node 11 with capacity 10,\nan edge from node 6 to node 13 with capacity 6,\nan edge from node 6 to node 0 with capacity 17,\nan edge from node 6 to node 11 with capacity 16,\nan edge from node 7 to node 8 with capacity 13,\nan edge from node 7 to node 13 with capacity 11,\nan edge from node 7 to node 14 with capacity 6,\nan edge from node 7 to node 11 with capacity 10,\nan edge from node 8 to node 2 with capacity 11,\nan edge from node 8 to node 7 with capacity 12,\nan edge from node 8 to node 12 with capacity 14,\nan edge from node 8 to node 6 with capacity 15,\nan edge from node 8 to node 3 with capacity 11,\nan edge from node 9 to node 0 with capacity 13,\nan edge from node 10 to node 8 with capacity 19,\nan edge from node 10 to node 9 with capacity 13,\nan edge from node 10 to node 6 with capacity 13,\nan edge from node 10 to node 3 with capacity 3,\nan edge from node 11 to node 6 with capacity 18,\nan edge from node 11 to node 1 with capacity 10,\nan edge from node 11 to node 3 with capacity 17,\nan edge from node 11 to node 0 with capacity 20,\nan edge from node 12 to node 2 with capacity 7,\nan edge from node 12 to node 5 with capacity 16,\nan edge from node 12 to node 4 with capacity 17,\nan edge from node 12 to node 0 with capacity 15,\nan edge from node 12 to node 11 with capacity 15,\nan edge from node 13 to node 6 with capacity 19,\nan edge from node 13 to node 3 with capacity 11,\nan edge from node 14 to node 7 with capacity 13,\nan edge from node 14 to node 5 with capacity 10,\nan edge from node 14 to node 6 with capacity 13,\nan edge from node 14 to node 3 with capacity 6,\nWhat is the maximum flow from node 1 to node 2:"
            },
            {
                "from": "gpt",
                "value": "18."
            }
        ]
    },
    {
        "id": "flow-hard-graph324",
        "image": "data/flow/graph_visual/hard/graph324.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 9 with capacity 3,\nan edge from node 0 to node 3 with capacity 8,\nan edge from node 0 to node 5 with capacity 13,\nan edge from node 1 to node 0 with capacity 20,\nan edge from node 2 to node 0 with capacity 8,\nan edge from node 2 to node 6 with capacity 7,\nan edge from node 3 to node 1 with capacity 12,\nan edge from node 3 to node 11 with capacity 14,\nan edge from node 4 to node 1 with capacity 16,\nan edge from node 4 to node 7 with capacity 15,\nan edge from node 4 to node 11 with capacity 10,\nan edge from node 5 to node 8 with capacity 5,\nan edge from node 5 to node 9 with capacity 12,\nan edge from node 5 to node 10 with capacity 9,\nan edge from node 6 to node 8 with capacity 14,\nan edge from node 6 to node 3 with capacity 8,\nan edge from node 7 to node 9 with capacity 12,\nan edge from node 7 to node 3 with capacity 2,\nan edge from node 8 to node 1 with capacity 19,\nan edge from node 8 to node 3 with capacity 3,\nan edge from node 8 to node 2 with capacity 2,\nan edge from node 9 to node 8 with capacity 13,\nan edge from node 9 to node 12 with capacity 8,\nan edge from node 9 to node 7 with capacity 17,\nan edge from node 10 to node 7 with capacity 10,\nan edge from node 10 to node 5 with capacity 8,\nan edge from node 10 to node 6 with capacity 8,\nan edge from node 11 to node 0 with capacity 11,\nan edge from node 11 to node 10 with capacity 1,\nan edge from node 11 to node 4 with capacity 16,\nan edge from node 11 to node 6 with capacity 10,\nan edge from node 12 to node 10 with capacity 6,\nan edge from node 12 to node 2 with capacity 3,\nan edge from node 12 to node 11 with capacity 12,\nWhat is the maximum flow from node 9 to node 4:"
            },
            {
                "from": "gpt",
                "value": "16."
            }
        ]
    },
    {
        "id": "flow-hard-graph643",
        "image": "data/flow/graph_visual/hard/graph643.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 10 with capacity 19,\nan edge from node 0 to node 6 with capacity 20,\nan edge from node 0 to node 12 with capacity 1,\nan edge from node 0 to node 3 with capacity 15,\nan edge from node 0 to node 5 with capacity 6,\nan edge from node 0 to node 15 with capacity 10,\nan edge from node 0 to node 11 with capacity 11,\nan edge from node 0 to node 14 with capacity 19,\nan edge from node 1 to node 10 with capacity 1,\nan edge from node 1 to node 11 with capacity 4,\nan edge from node 1 to node 9 with capacity 20,\nan edge from node 1 to node 0 with capacity 1,\nan edge from node 2 to node 12 with capacity 4,\nan edge from node 2 to node 13 with capacity 17,\nan edge from node 2 to node 14 with capacity 3,\nan edge from node 3 to node 1 with capacity 19,\nan edge from node 3 to node 12 with capacity 6,\nan edge from node 3 to node 4 with capacity 10,\nan edge from node 3 to node 2 with capacity 4,\nan edge from node 4 to node 3 with capacity 3,\nan edge from node 4 to node 15 with capacity 18,\nan edge from node 4 to node 7 with capacity 2,\nan edge from node 5 to node 11 with capacity 13,\nan edge from node 5 to node 0 with capacity 9,\nan edge from node 5 to node 14 with capacity 12,\nan edge from node 6 to node 3 with capacity 4,\nan edge from node 6 to node 5 with capacity 1,\nan edge from node 7 to node 10 with capacity 20,\nan edge from node 7 to node 6 with capacity 19,\nan edge from node 7 to node 1 with capacity 17,\nan edge from node 7 to node 3 with capacity 16,\nan edge from node 7 to node 9 with capacity 15,\nan edge from node 9 to node 10 with capacity 18,\nan edge from node 9 to node 6 with capacity 12,\nan edge from node 9 to node 4 with capacity 5,\nan edge from node 9 to node 8 with capacity 15,\nan edge from node 10 to node 12 with capacity 2,\nan edge from node 10 to node 4 with capacity 6,\nan edge from node 10 to node 2 with capacity 19,\nan edge from node 10 to node 13 with capacity 11,\nan edge from node 11 to node 4 with capacity 15,\nan edge from node 11 to node 3 with capacity 7,\nan edge from node 11 to node 9 with capacity 16,\nan edge from node 11 to node 14 with capacity 19,\nan edge from node 12 to node 4 with capacity 6,\nan edge from node 12 to node 2 with capacity 8,\nan edge from node 12 to node 0 with capacity 16,\nan edge from node 13 to node 12 with capacity 8,\nan edge from node 13 to node 8 with capacity 8,\nan edge from node 13 to node 2 with capacity 3,\nan edge from node 13 to node 3 with capacity 11,\nan edge from node 13 to node 9 with capacity 19,\nan edge from node 14 to node 10 with capacity 9,\nan edge from node 14 to node 1 with capacity 12,\nan edge from node 14 to node 4 with capacity 1,\nan edge from node 14 to node 2 with capacity 11,\nan edge from node 14 to node 15 with capacity 15,\nan edge from node 14 to node 7 with capacity 7,\nan edge from node 15 to node 4 with capacity 7,\nan edge from node 15 to node 5 with capacity 20,\nWhat is the maximum flow from node 15 to node 8:"
            },
            {
                "from": "gpt",
                "value": "23."
            }
        ]
    },
    {
        "id": "flow-hard-graph195",
        "image": "data/flow/graph_visual/hard/graph195.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 8 with capacity 6,\nan edge from node 0 to node 5 with capacity 1,\nan edge from node 0 to node 3 with capacity 18,\nan edge from node 1 to node 3 with capacity 6,\nan edge from node 1 to node 4 with capacity 3,\nan edge from node 1 to node 2 with capacity 14,\nan edge from node 2 to node 10 with capacity 20,\nan edge from node 2 to node 3 with capacity 19,\nan edge from node 3 to node 1 with capacity 7,\nan edge from node 4 to node 8 with capacity 2,\nan edge from node 4 to node 5 with capacity 2,\nan edge from node 5 to node 10 with capacity 16,\nan edge from node 5 to node 9 with capacity 16,\nan edge from node 5 to node 0 with capacity 16,\nan edge from node 5 to node 7 with capacity 17,\nan edge from node 6 to node 9 with capacity 18,\nan edge from node 6 to node 4 with capacity 19,\nan edge from node 6 to node 2 with capacity 18,\nan edge from node 7 to node 1 with capacity 4,\nan edge from node 8 to node 11 with capacity 10,\nan edge from node 8 to node 10 with capacity 18,\nan edge from node 8 to node 9 with capacity 14,\nan edge from node 8 to node 3 with capacity 3,\nan edge from node 9 to node 0 with capacity 14,\nan edge from node 10 to node 8 with capacity 7,\nan edge from node 10 to node 6 with capacity 15,\nan edge from node 10 to node 4 with capacity 17,\nan edge from node 11 to node 10 with capacity 8,\nan edge from node 11 to node 8 with capacity 15,\nan edge from node 11 to node 5 with capacity 13,\nan edge from node 11 to node 1 with capacity 13,\nan edge from node 11 to node 2 with capacity 1,\nWhat is the maximum flow from node 4 to node 1:"
            },
            {
                "from": "gpt",
                "value": "4."
            }
        ]
    },
    {
        "id": "flow-hard-graph127",
        "image": "data/flow/graph_visual/hard/graph127.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 10 with capacity 18,\nan edge from node 0 to node 7 with capacity 10,\nan edge from node 0 to node 6 with capacity 11,\nan edge from node 0 to node 9 with capacity 2,\nan edge from node 1 to node 5 with capacity 3,\nan edge from node 1 to node 7 with capacity 4,\nan edge from node 1 to node 4 with capacity 6,\nan edge from node 1 to node 6 with capacity 12,\nan edge from node 1 to node 9 with capacity 18,\nan edge from node 2 to node 10 with capacity 6,\nan edge from node 2 to node 3 with capacity 5,\nan edge from node 2 to node 6 with capacity 1,\nan edge from node 2 to node 9 with capacity 16,\nan edge from node 3 to node 4 with capacity 13,\nan edge from node 4 to node 7 with capacity 20,\nan edge from node 4 to node 8 with capacity 16,\nan edge from node 4 to node 6 with capacity 9,\nan edge from node 5 to node 7 with capacity 10,\nan edge from node 5 to node 6 with capacity 8,\nan edge from node 5 to node 9 with capacity 6,\nan edge from node 5 to node 11 with capacity 18,\nan edge from node 6 to node 5 with capacity 14,\nan edge from node 6 to node 3 with capacity 14,\nan edge from node 6 to node 8 with capacity 11,\nan edge from node 6 to node 9 with capacity 18,\nan edge from node 7 to node 10 with capacity 4,\nan edge from node 7 to node 5 with capacity 6,\nan edge from node 7 to node 2 with capacity 10,\nan edge from node 7 to node 3 with capacity 1,\nan edge from node 7 to node 0 with capacity 16,\nan edge from node 7 to node 4 with capacity 13,\nan edge from node 7 to node 6 with capacity 17,\nan edge from node 8 to node 1 with capacity 17,\nan edge from node 8 to node 0 with capacity 16,\nan edge from node 8 to node 9 with capacity 4,\nan edge from node 9 to node 5 with capacity 17,\nan edge from node 9 to node 3 with capacity 4,\nan edge from node 10 to node 3 with capacity 19,\nan edge from node 10 to node 8 with capacity 1,\nan edge from node 10 to node 4 with capacity 3,\nan edge from node 11 to node 2 with capacity 10,\nan edge from node 11 to node 8 with capacity 9,\nan edge from node 11 to node 6 with capacity 10,\nWhat is the maximum flow from node 1 to node 0:"
            },
            {
                "from": "gpt",
                "value": "32."
            }
        ]
    },
    {
        "id": "flow-hard-graph572",
        "image": "data/flow/graph_visual/hard/graph572.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 2 with capacity 17,\nan edge from node 0 to node 4 with capacity 9,\nan edge from node 0 to node 6 with capacity 8,\nan edge from node 1 to node 5 with capacity 9,\nan edge from node 1 to node 10 with capacity 3,\nan edge from node 1 to node 14 with capacity 10,\nan edge from node 1 to node 4 with capacity 14,\nan edge from node 1 to node 13 with capacity 15,\nan edge from node 1 to node 6 with capacity 1,\nan edge from node 2 to node 14 with capacity 1,\nan edge from node 2 to node 13 with capacity 17,\nan edge from node 2 to node 9 with capacity 9,\nan edge from node 2 to node 7 with capacity 12,\nan edge from node 3 to node 13 with capacity 5,\nan edge from node 3 to node 6 with capacity 17,\nan edge from node 4 to node 11 with capacity 1,\nan edge from node 4 to node 7 with capacity 1,\nan edge from node 5 to node 3 with capacity 5,\nan edge from node 5 to node 10 with capacity 2,\nan edge from node 5 to node 2 with capacity 3,\nan edge from node 5 to node 9 with capacity 8,\nan edge from node 6 to node 3 with capacity 4,\nan edge from node 6 to node 7 with capacity 8,\nan edge from node 6 to node 0 with capacity 13,\nan edge from node 7 to node 8 with capacity 8,\nan edge from node 7 to node 11 with capacity 14,\nan edge from node 7 to node 3 with capacity 9,\nan edge from node 7 to node 9 with capacity 6,\nan edge from node 8 to node 5 with capacity 20,\nan edge from node 9 to node 3 with capacity 1,\nan edge from node 9 to node 2 with capacity 9,\nan edge from node 9 to node 1 with capacity 20,\nan edge from node 10 to node 5 with capacity 7,\nan edge from node 10 to node 2 with capacity 4,\nan edge from node 11 to node 5 with capacity 9,\nan edge from node 11 to node 3 with capacity 11,\nan edge from node 11 to node 2 with capacity 6,\nan edge from node 11 to node 1 with capacity 4,\nan edge from node 12 to node 11 with capacity 15,\nan edge from node 12 to node 3 with capacity 7,\nan edge from node 12 to node 2 with capacity 11,\nan edge from node 12 to node 0 with capacity 3,\nan edge from node 13 to node 2 with capacity 2,\nan edge from node 13 to node 12 with capacity 16,\nan edge from node 14 to node 5 with capacity 9,\nan edge from node 14 to node 11 with capacity 18,\nan edge from node 14 to node 2 with capacity 3,\nWhat is the maximum flow from node 5 to node 10:"
            },
            {
                "from": "gpt",
                "value": "5."
            }
        ]
    },
    {
        "id": "flow-hard-graph665",
        "image": "data/flow/graph_visual/hard/graph665.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 8 with capacity 9,\nan edge from node 0 to node 2 with capacity 4,\nan edge from node 0 to node 14 with capacity 14,\nan edge from node 1 to node 11 with capacity 7,\nan edge from node 1 to node 13 with capacity 5,\nan edge from node 1 to node 10 with capacity 7,\nan edge from node 1 to node 14 with capacity 15,\nan edge from node 2 to node 14 with capacity 6,\nan edge from node 2 to node 12 with capacity 9,\nan edge from node 2 to node 3 with capacity 5,\nan edge from node 3 to node 8 with capacity 17,\nan edge from node 3 to node 13 with capacity 7,\nan edge from node 3 to node 0 with capacity 11,\nan edge from node 3 to node 6 with capacity 19,\nan edge from node 4 to node 11 with capacity 1,\nan edge from node 4 to node 2 with capacity 16,\nan edge from node 4 to node 13 with capacity 10,\nan edge from node 4 to node 5 with capacity 1,\nan edge from node 5 to node 11 with capacity 20,\nan edge from node 5 to node 2 with capacity 1,\nan edge from node 5 to node 12 with capacity 4,\nan edge from node 5 to node 3 with capacity 2,\nan edge from node 5 to node 4 with capacity 12,\nan edge from node 6 to node 7 with capacity 8,\nan edge from node 6 to node 3 with capacity 3,\nan edge from node 6 to node 9 with capacity 7,\nan edge from node 7 to node 0 with capacity 12,\nan edge from node 7 to node 1 with capacity 7,\nan edge from node 8 to node 11 with capacity 7,\nan edge from node 8 to node 5 with capacity 6,\nan edge from node 8 to node 9 with capacity 9,\nan edge from node 9 to node 15 with capacity 9,\nan edge from node 9 to node 7 with capacity 7,\nan edge from node 9 to node 1 with capacity 10,\nan edge from node 10 to node 15 with capacity 16,\nan edge from node 10 to node 7 with capacity 3,\nan edge from node 10 to node 4 with capacity 14,\nan edge from node 11 to node 14 with capacity 20,\nan edge from node 11 to node 7 with capacity 13,\nan edge from node 12 to node 11 with capacity 3,\nan edge from node 12 to node 8 with capacity 3,\nan edge from node 12 to node 14 with capacity 18,\nan edge from node 12 to node 7 with capacity 17,\nan edge from node 12 to node 9 with capacity 18,\nan edge from node 13 to node 15 with capacity 6,\nan edge from node 13 to node 12 with capacity 3,\nan edge from node 13 to node 3 with capacity 19,\nan edge from node 13 to node 1 with capacity 8,\nan edge from node 14 to node 2 with capacity 1,\nan edge from node 14 to node 13 with capacity 3,\nan edge from node 14 to node 1 with capacity 7,\nan edge from node 15 to node 8 with capacity 10,\nan edge from node 15 to node 12 with capacity 11,\nan edge from node 15 to node 0 with capacity 20,\nWhat is the maximum flow from node 14 to node 13:"
            },
            {
                "from": "gpt",
                "value": "11."
            }
        ]
    },
    {
        "id": "flow-hard-graph779",
        "image": "data/flow/graph_visual/hard/graph779.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 15 with capacity 8,\nan edge from node 0 to node 13 with capacity 17,\nan edge from node 0 to node 16 with capacity 11,\nan edge from node 0 to node 14 with capacity 9,\nan edge from node 1 to node 3 with capacity 5,\nan edge from node 1 to node 11 with capacity 14,\nan edge from node 1 to node 4 with capacity 11,\nan edge from node 1 to node 8 with capacity 17,\nan edge from node 2 to node 1 with capacity 11,\nan edge from node 2 to node 9 with capacity 6,\nan edge from node 3 to node 16 with capacity 11,\nan edge from node 3 to node 1 with capacity 19,\nan edge from node 3 to node 9 with capacity 7,\nan edge from node 4 to node 5 with capacity 17,\nan edge from node 4 to node 13 with capacity 12,\nan edge from node 4 to node 10 with capacity 19,\nan edge from node 4 to node 9 with capacity 18,\nan edge from node 4 to node 12 with capacity 5,\nan edge from node 5 to node 2 with capacity 7,\nan edge from node 5 to node 3 with capacity 11,\nan edge from node 5 to node 11 with capacity 10,\nan edge from node 5 to node 1 with capacity 13,\nan edge from node 6 to node 0 with capacity 14,\nan edge from node 6 to node 3 with capacity 12,\nan edge from node 6 to node 10 with capacity 11,\nan edge from node 7 to node 5 with capacity 20,\nan edge from node 7 to node 11 with capacity 9,\nan edge from node 7 to node 10 with capacity 14,\nan edge from node 7 to node 8 with capacity 3,\nan edge from node 7 to node 9 with capacity 1,\nan edge from node 8 to node 5 with capacity 4,\nan edge from node 8 to node 13 with capacity 5,\nan edge from node 8 to node 2 with capacity 2,\nan edge from node 9 to node 15 with capacity 13,\nan edge from node 9 to node 13 with capacity 5,\nan edge from node 9 to node 2 with capacity 16,\nan edge from node 9 to node 3 with capacity 13,\nan edge from node 9 to node 11 with capacity 18,\nan edge from node 9 to node 7 with capacity 5,\nan edge from node 9 to node 10 with capacity 11,\nan edge from node 9 to node 14 with capacity 20,\nan edge from node 10 to node 15 with capacity 6,\nan edge from node 10 to node 16 with capacity 12,\nan edge from node 10 to node 4 with capacity 1,\nan edge from node 10 to node 1 with capacity 7,\nan edge from node 10 to node 8 with capacity 19,\nan edge from node 10 to node 9 with capacity 16,\nan edge from node 10 to node 12 with capacity 16,\nan edge from node 11 to node 6 with capacity 9,\nan edge from node 11 to node 5 with capacity 5,\nan edge from node 11 to node 13 with capacity 7,\nan edge from node 11 to node 2 with capacity 10,\nan edge from node 11 to node 12 with capacity 16,\nan edge from node 12 to node 6 with capacity 9,\nan edge from node 12 to node 15 with capacity 6,\nan edge from node 12 to node 1 with capacity 12,\nan edge from node 12 to node 8 with capacity 8,\nan edge from node 12 to node 14 with capacity 13,\nan edge from node 13 to node 5 with capacity 4,\nan edge from node 13 to node 4 with capacity 8,\nan edge from node 13 to node 1 with capacity 19,\nan edge from node 13 to node 12 with capacity 20,\nan edge from node 13 to node 14 with capacity 14,\nan edge from node 14 to node 1 with capacity 7,\nan edge from node 14 to node 8 with capacity 7,\nan edge from node 15 to node 13 with capacity 16,\nan edge from node 15 to node 16 with capacity 13,\nan edge from node 15 to node 2 with capacity 3,\nan edge from node 15 to node 10 with capacity 20,\nan edge from node 16 to node 13 with capacity 7,\nan edge from node 16 to node 9 with capacity 4,\nan edge from node 16 to node 12 with capacity 20,\nWhat is the maximum flow from node 14 to node 4:"
            },
            {
                "from": "gpt",
                "value": "14."
            }
        ]
    },
    {
        "id": "flow-hard-graph1108",
        "image": "data/flow/graph_visual/hard/graph1108.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 18 with capacity 9,\nan edge from node 0 to node 17 with capacity 4,\nan edge from node 0 to node 10 with capacity 9,\nan edge from node 0 to node 13 with capacity 3,\nan edge from node 0 to node 16 with capacity 10,\nan edge from node 1 to node 15 with capacity 8,\nan edge from node 1 to node 11 with capacity 20,\nan edge from node 1 to node 13 with capacity 4,\nan edge from node 2 to node 18 with capacity 11,\nan edge from node 2 to node 12 with capacity 10,\nan edge from node 2 to node 17 with capacity 12,\nan edge from node 2 to node 14 with capacity 6,\nan edge from node 2 to node 0 with capacity 12,\nan edge from node 3 to node 18 with capacity 7,\nan edge from node 3 to node 19 with capacity 6,\nan edge from node 3 to node 2 with capacity 5,\nan edge from node 3 to node 16 with capacity 4,\nan edge from node 4 to node 19 with capacity 10,\nan edge from node 4 to node 8 with capacity 17,\nan edge from node 4 to node 13 with capacity 10,\nan edge from node 4 to node 0 with capacity 14,\nan edge from node 5 to node 6 with capacity 7,\nan edge from node 5 to node 19 with capacity 12,\nan edge from node 5 to node 9 with capacity 18,\nan edge from node 5 to node 15 with capacity 17,\nan edge from node 5 to node 4 with capacity 15,\nan edge from node 5 to node 11 with capacity 16,\nan edge from node 5 to node 16 with capacity 8,\nan edge from node 6 to node 12 with capacity 13,\nan edge from node 6 to node 19 with capacity 10,\nan edge from node 6 to node 2 with capacity 3,\nan edge from node 6 to node 16 with capacity 20,\nan edge from node 7 to node 3 with capacity 11,\nan edge from node 7 to node 15 with capacity 2,\nan edge from node 8 to node 6 with capacity 6,\nan edge from node 8 to node 5 with capacity 14,\nan edge from node 8 to node 7 with capacity 6,\nan edge from node 8 to node 14 with capacity 17,\nan edge from node 8 to node 13 with capacity 20,\nan edge from node 8 to node 0 with capacity 1,\nan edge from node 9 to node 18 with capacity 12,\nan edge from node 9 to node 6 with capacity 16,\nan edge from node 9 to node 17 with capacity 4,\nan edge from node 9 to node 2 with capacity 12,\nan edge from node 9 to node 7 with capacity 15,\nan edge from node 9 to node 16 with capacity 16,\nan edge from node 9 to node 0 with capacity 12,\nan edge from node 10 to node 18 with capacity 18,\nan edge from node 10 to node 12 with capacity 5,\nan edge from node 10 to node 6 with capacity 12,\nan edge from node 10 to node 19 with capacity 17,\nan edge from node 11 to node 12 with capacity 20,\nan edge from node 11 to node 1 with capacity 1,\nan edge from node 11 to node 10 with capacity 6,\nan edge from node 11 to node 8 with capacity 10,\nan edge from node 12 to node 18 with capacity 14,\nan edge from node 12 to node 3 with capacity 10,\nan edge from node 12 to node 5 with capacity 9,\nan edge from node 12 to node 15 with capacity 10,\nan edge from node 12 to node 8 with capacity 11,\nan edge from node 13 to node 12 with capacity 4,\nan edge from node 13 to node 6 with capacity 16,\nan edge from node 13 to node 17 with capacity 6,\nan edge from node 13 to node 5 with capacity 4,\nan edge from node 14 to node 6 with capacity 13,\nan edge from node 14 to node 10 with capacity 20,\nan edge from node 14 to node 15 with capacity 16,\nan edge from node 14 to node 4 with capacity 5,\nan edge from node 15 to node 12 with capacity 14,\nan edge from node 15 to node 3 with capacity 1,\nan edge from node 15 to node 6 with capacity 1,\nan edge from node 15 to node 17 with capacity 10,\nan edge from node 15 to node 5 with capacity 14,\nan edge from node 16 to node 18 with capacity 6,\nan edge from node 16 to node 3 with capacity 18,\nan edge from node 16 to node 19 with capacity 9,\nan edge from node 17 to node 18 with capacity 17,\nan edge from node 17 to node 6 with capacity 17,\nan edge from node 17 to node 5 with capacity 15,\nan edge from node 17 to node 16 with capacity 13,\nan edge from node 18 to node 4 with capacity 11,\nan edge from node 18 to node 11 with capacity 2,\nan edge from node 18 to node 13 with capacity 12,\nan edge from node 19 to node 12 with capacity 20,\nan edge from node 19 to node 2 with capacity 9,\nan edge from node 19 to node 14 with capacity 4,\nan edge from node 19 to node 11 with capacity 2,\nan edge from node 19 to node 16 with capacity 1,\nWhat is the maximum flow from node 4 to node 9:"
            },
            {
                "from": "gpt",
                "value": "18."
            }
        ]
    },
    {
        "id": "flow-hard-graph293",
        "image": "data/flow/graph_visual/hard/graph293.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 2 with capacity 10,\nan edge from node 0 to node 4 with capacity 13,\nan edge from node 0 to node 3 with capacity 15,\nan edge from node 0 to node 1 with capacity 5,\nan edge from node 1 to node 5 with capacity 10,\nan edge from node 1 to node 10 with capacity 3,\nan edge from node 1 to node 3 with capacity 2,\nan edge from node 1 to node 6 with capacity 12,\nan edge from node 1 to node 12 with capacity 6,\nan edge from node 2 to node 4 with capacity 4,\nan edge from node 2 to node 10 with capacity 7,\nan edge from node 2 to node 0 with capacity 6,\nan edge from node 3 to node 4 with capacity 16,\nan edge from node 3 to node 8 with capacity 16,\nan edge from node 3 to node 11 with capacity 6,\nan edge from node 4 to node 5 with capacity 1,\nan edge from node 4 to node 3 with capacity 19,\nan edge from node 4 to node 8 with capacity 4,\nan edge from node 5 to node 8 with capacity 5,\nan edge from node 5 to node 9 with capacity 19,\nan edge from node 5 to node 0 with capacity 8,\nan edge from node 6 to node 3 with capacity 5,\nan edge from node 6 to node 1 with capacity 8,\nan edge from node 6 to node 7 with capacity 13,\nan edge from node 6 to node 9 with capacity 8,\nan edge from node 6 to node 11 with capacity 19,\nan edge from node 7 to node 4 with capacity 13,\nan edge from node 7 to node 1 with capacity 1,\nan edge from node 7 to node 8 with capacity 12,\nan edge from node 7 to node 0 with capacity 18,\nan edge from node 8 to node 2 with capacity 3,\nan edge from node 8 to node 7 with capacity 8,\nan edge from node 8 to node 0 with capacity 15,\nan edge from node 8 to node 11 with capacity 3,\nan edge from node 8 to node 12 with capacity 16,\nan edge from node 9 to node 2 with capacity 7,\nan edge from node 9 to node 1 with capacity 5,\nan edge from node 9 to node 8 with capacity 1,\nan edge from node 10 to node 4 with capacity 16,\nan edge from node 10 to node 8 with capacity 2,\nan edge from node 10 to node 9 with capacity 10,\nan edge from node 11 to node 6 with capacity 19,\nan edge from node 12 to node 4 with capacity 6,\nan edge from node 12 to node 10 with capacity 19,\nan edge from node 12 to node 7 with capacity 12,\nWhat is the maximum flow from node 11 to node 9:"
            },
            {
                "from": "gpt",
                "value": "19."
            }
        ]
    },
    {
        "id": "flow-hard-graph524",
        "image": "data/flow/graph_visual/hard/graph524.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 13 with capacity 8,\nan edge from node 0 to node 7 with capacity 20,\nan edge from node 0 to node 11 with capacity 12,\nan edge from node 0 to node 6 with capacity 17,\nan edge from node 0 to node 10 with capacity 11,\nan edge from node 1 to node 13 with capacity 10,\nan edge from node 1 to node 7 with capacity 11,\nan edge from node 1 to node 14 with capacity 3,\nan edge from node 1 to node 2 with capacity 10,\nan edge from node 2 to node 7 with capacity 13,\nan edge from node 2 to node 14 with capacity 17,\nan edge from node 2 to node 1 with capacity 18,\nan edge from node 2 to node 10 with capacity 11,\nan edge from node 3 to node 0 with capacity 3,\nan edge from node 3 to node 7 with capacity 1,\nan edge from node 3 to node 11 with capacity 10,\nan edge from node 3 to node 12 with capacity 16,\nan edge from node 3 to node 6 with capacity 18,\nan edge from node 3 to node 2 with capacity 7,\nan edge from node 4 to node 5 with capacity 9,\nan edge from node 5 to node 0 with capacity 13,\nan edge from node 5 to node 11 with capacity 5,\nan edge from node 6 to node 5 with capacity 18,\nan edge from node 6 to node 7 with capacity 1,\nan edge from node 6 to node 11 with capacity 2,\nan edge from node 6 to node 12 with capacity 4,\nan edge from node 6 to node 10 with capacity 16,\nan edge from node 6 to node 9 with capacity 11,\nan edge from node 7 to node 13 with capacity 7,\nan edge from node 7 to node 8 with capacity 7,\nan edge from node 7 to node 12 with capacity 14,\nan edge from node 7 to node 1 with capacity 19,\nan edge from node 7 to node 10 with capacity 20,\nan edge from node 8 to node 7 with capacity 8,\nan edge from node 8 to node 6 with capacity 18,\nan edge from node 8 to node 1 with capacity 14,\nan edge from node 9 to node 0 with capacity 5,\nan edge from node 9 to node 4 with capacity 18,\nan edge from node 9 to node 11 with capacity 2,\nan edge from node 10 to node 4 with capacity 19,\nan edge from node 10 to node 6 with capacity 15,\nan edge from node 11 to node 8 with capacity 9,\nan edge from node 11 to node 9 with capacity 4,\nan edge from node 12 to node 5 with capacity 11,\nan edge from node 12 to node 4 with capacity 2,\nan edge from node 12 to node 10 with capacity 18,\nan edge from node 13 to node 3 with capacity 8,\nan edge from node 13 to node 10 with capacity 15,\nan edge from node 13 to node 2 with capacity 2,\nan edge from node 14 to node 10 with capacity 16,\nan edge from node 14 to node 9 with capacity 13,\nWhat is the maximum flow from node 14 to node 13:"
            },
            {
                "from": "gpt",
                "value": "25."
            }
        ]
    },
    {
        "id": "flow-hard-graph747",
        "image": "data/flow/graph_visual/hard/graph747.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 8 with capacity 6,\nan edge from node 0 to node 2 with capacity 9,\nan edge from node 0 to node 11 with capacity 16,\nan edge from node 0 to node 10 with capacity 17,\nan edge from node 0 to node 16 with capacity 1,\nan edge from node 1 to node 7 with capacity 18,\nan edge from node 1 to node 4 with capacity 1,\nan edge from node 1 to node 10 with capacity 19,\nan edge from node 1 to node 14 with capacity 16,\nan edge from node 1 to node 9 with capacity 11,\nan edge from node 1 to node 6 with capacity 15,\nan edge from node 2 to node 8 with capacity 14,\nan edge from node 2 to node 15 with capacity 8,\nan edge from node 2 to node 0 with capacity 13,\nan edge from node 3 to node 1 with capacity 19,\nan edge from node 4 to node 13 with capacity 15,\nan edge from node 4 to node 2 with capacity 16,\nan edge from node 4 to node 14 with capacity 7,\nan edge from node 4 to node 12 with capacity 5,\nan edge from node 5 to node 8 with capacity 4,\nan edge from node 5 to node 3 with capacity 17,\nan edge from node 5 to node 1 with capacity 6,\nan edge from node 6 to node 8 with capacity 16,\nan edge from node 6 to node 2 with capacity 4,\nan edge from node 6 to node 1 with capacity 9,\nan edge from node 6 to node 16 with capacity 19,\nan edge from node 7 to node 13 with capacity 3,\nan edge from node 7 to node 10 with capacity 8,\nan edge from node 7 to node 6 with capacity 13,\nan edge from node 8 to node 12 with capacity 1,\nan edge from node 8 to node 6 with capacity 3,\nan edge from node 8 to node 0 with capacity 14,\nan edge from node 9 to node 0 with capacity 13,\nan edge from node 10 to node 5 with capacity 12,\nan edge from node 10 to node 6 with capacity 17,\nan edge from node 11 to node 8 with capacity 5,\nan edge from node 11 to node 10 with capacity 9,\nan edge from node 11 to node 9 with capacity 10,\nan edge from node 11 to node 0 with capacity 14,\nan edge from node 12 to node 15 with capacity 6,\nan edge from node 12 to node 1 with capacity 7,\nan edge from node 13 to node 8 with capacity 19,\nan edge from node 13 to node 3 with capacity 3,\nan edge from node 13 to node 7 with capacity 3,\nan edge from node 13 to node 4 with capacity 2,\nan edge from node 13 to node 10 with capacity 5,\nan edge from node 13 to node 14 with capacity 4,\nan edge from node 13 to node 9 with capacity 17,\nan edge from node 13 to node 1 with capacity 3,\nan edge from node 13 to node 6 with capacity 11,\nan edge from node 13 to node 0 with capacity 9,\nan edge from node 14 to node 3 with capacity 18,\nan edge from node 14 to node 2 with capacity 6,\nan edge from node 14 to node 6 with capacity 3,\nan edge from node 15 to node 3 with capacity 6,\nan edge from node 15 to node 10 with capacity 12,\nan edge from node 15 to node 5 with capacity 7,\nan edge from node 15 to node 12 with capacity 1,\nan edge from node 15 to node 6 with capacity 12,\nan edge from node 15 to node 16 with capacity 8,\nan edge from node 16 to node 7 with capacity 5,\nWhat is the maximum flow from node 2 to node 16:"
            },
            {
                "from": "gpt",
                "value": "28."
            }
        ]
    },
    {
        "id": "flow-hard-graph804",
        "image": "data/flow/graph_visual/hard/graph804.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 10 with capacity 3,\nan edge from node 0 to node 5 with capacity 16,\nan edge from node 1 to node 6 with capacity 12,\nan edge from node 1 to node 11 with capacity 3,\nan edge from node 2 to node 16 with capacity 14,\nan edge from node 2 to node 1 with capacity 2,\nan edge from node 2 to node 0 with capacity 4,\nan edge from node 2 to node 14 with capacity 18,\nan edge from node 3 to node 16 with capacity 15,\nan edge from node 3 to node 6 with capacity 14,\nan edge from node 3 to node 8 with capacity 12,\nan edge from node 3 to node 9 with capacity 10,\nan edge from node 4 to node 6 with capacity 9,\nan edge from node 4 to node 2 with capacity 3,\nan edge from node 4 to node 8 with capacity 9,\nan edge from node 4 to node 9 with capacity 19,\nan edge from node 5 to node 13 with capacity 5,\nan edge from node 6 to node 16 with capacity 12,\nan edge from node 6 to node 12 with capacity 18,\nan edge from node 6 to node 9 with capacity 2,\nan edge from node 6 to node 5 with capacity 11,\nan edge from node 7 to node 10 with capacity 9,\nan edge from node 7 to node 2 with capacity 13,\nan edge from node 7 to node 15 with capacity 15,\nan edge from node 7 to node 13 with capacity 9,\nan edge from node 7 to node 11 with capacity 15,\nan edge from node 8 to node 16 with capacity 2,\nan edge from node 8 to node 12 with capacity 2,\nan edge from node 8 to node 10 with capacity 12,\nan edge from node 8 to node 1 with capacity 19,\nan edge from node 8 to node 4 with capacity 14,\nan edge from node 8 to node 0 with capacity 18,\nan edge from node 8 to node 5 with capacity 19,\nan edge from node 8 to node 11 with capacity 4,\nan edge from node 9 to node 3 with capacity 15,\nan edge from node 9 to node 12 with capacity 2,\nan edge from node 9 to node 1 with capacity 9,\nan edge from node 9 to node 0 with capacity 5,\nan edge from node 9 to node 11 with capacity 17,\nan edge from node 10 to node 16 with capacity 13,\nan edge from node 10 to node 1 with capacity 4,\nan edge from node 10 to node 11 with capacity 1,\nan edge from node 11 to node 10 with capacity 17,\nan edge from node 11 to node 1 with capacity 14,\nan edge from node 11 to node 15 with capacity 4,\nan edge from node 12 to node 16 with capacity 13,\nan edge from node 12 to node 13 with capacity 11,\nan edge from node 12 to node 5 with capacity 1,\nan edge from node 12 to node 14 with capacity 12,\nan edge from node 13 to node 12 with capacity 18,\nan edge from node 13 to node 2 with capacity 13,\nan edge from node 13 to node 1 with capacity 12,\nan edge from node 13 to node 8 with capacity 16,\nan edge from node 13 to node 0 with capacity 5,\nan edge from node 13 to node 9 with capacity 4,\nan edge from node 13 to node 5 with capacity 11,\nan edge from node 13 to node 11 with capacity 14,\nan edge from node 13 to node 14 with capacity 6,\nan edge from node 14 to node 3 with capacity 18,\nan edge from node 14 to node 12 with capacity 15,\nan edge from node 14 to node 15 with capacity 11,\nan edge from node 14 to node 11 with capacity 13,\nan edge from node 15 to node 16 with capacity 13,\nan edge from node 15 to node 1 with capacity 16,\nan edge from node 15 to node 4 with capacity 14,\nan edge from node 15 to node 0 with capacity 4,\nan edge from node 15 to node 13 with capacity 12,\nan edge from node 15 to node 11 with capacity 13,\nan edge from node 15 to node 14 with capacity 5,\nan edge from node 16 to node 6 with capacity 5,\nan edge from node 16 to node 10 with capacity 19,\nan edge from node 16 to node 14 with capacity 5,\nWhat is the maximum flow from node 14 to node 5:"
            },
            {
                "from": "gpt",
                "value": "55."
            }
        ]
    },
    {
        "id": "flow-hard-graph573",
        "image": "data/flow/graph_visual/hard/graph573.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 8 with capacity 15,\nan edge from node 0 to node 4 with capacity 8,\nan edge from node 0 to node 11 with capacity 19,\nan edge from node 0 to node 1 with capacity 11,\nan edge from node 0 to node 7 with capacity 3,\nan edge from node 1 to node 14 with capacity 16,\nan edge from node 1 to node 12 with capacity 3,\nan edge from node 1 to node 6 with capacity 9,\nan edge from node 1 to node 9 with capacity 6,\nan edge from node 2 to node 14 with capacity 1,\nan edge from node 2 to node 4 with capacity 12,\nan edge from node 2 to node 6 with capacity 2,\nan edge from node 2 to node 13 with capacity 9,\nan edge from node 3 to node 0 with capacity 14,\nan edge from node 3 to node 4 with capacity 10,\nan edge from node 4 to node 2 with capacity 3,\nan edge from node 4 to node 1 with capacity 11,\nan edge from node 4 to node 6 with capacity 3,\nan edge from node 4 to node 13 with capacity 20,\nan edge from node 4 to node 10 with capacity 4,\nan edge from node 5 to node 4 with capacity 12,\nan edge from node 5 to node 1 with capacity 14,\nan edge from node 5 to node 10 with capacity 2,\nan edge from node 6 to node 9 with capacity 6,\nan edge from node 8 to node 0 with capacity 5,\nan edge from node 8 to node 1 with capacity 1,\nan edge from node 9 to node 8 with capacity 11,\nan edge from node 9 to node 2 with capacity 19,\nan edge from node 9 to node 10 with capacity 19,\nan edge from node 10 to node 14 with capacity 9,\nan edge from node 10 to node 4 with capacity 10,\nan edge from node 10 to node 11 with capacity 8,\nan edge from node 11 to node 4 with capacity 11,\nan edge from node 11 to node 1 with capacity 10,\nan edge from node 11 to node 6 with capacity 10,\nan edge from node 11 to node 10 with capacity 20,\nan edge from node 11 to node 7 with capacity 5,\nan edge from node 11 to node 9 with capacity 4,\nan edge from node 12 to node 14 with capacity 13,\nan edge from node 12 to node 1 with capacity 3,\nan edge from node 12 to node 6 with capacity 4,\nan edge from node 12 to node 3 with capacity 2,\nan edge from node 12 to node 9 with capacity 1,\nan edge from node 13 to node 14 with capacity 18,\nan edge from node 13 to node 8 with capacity 8,\nan edge from node 13 to node 4 with capacity 14,\nan edge from node 13 to node 10 with capacity 16,\nan edge from node 13 to node 3 with capacity 20,\nan edge from node 14 to node 2 with capacity 18,\nan edge from node 14 to node 11 with capacity 12,\nan edge from node 14 to node 5 with capacity 3,\nWhat is the maximum flow from node 11 to node 5:"
            },
            {
                "from": "gpt",
                "value": "3."
            }
        ]
    },
    {
        "id": "flow-hard-graph600",
        "image": "data/flow/graph_visual/hard/graph600.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 10 with capacity 8,\nan edge from node 0 to node 3 with capacity 20,\nan edge from node 0 to node 12 with capacity 12,\nan edge from node 0 to node 2 with capacity 1,\nan edge from node 0 to node 6 with capacity 9,\nan edge from node 1 to node 3 with capacity 15,\nan edge from node 1 to node 5 with capacity 20,\nan edge from node 1 to node 8 with capacity 9,\nan edge from node 1 to node 0 with capacity 1,\nan edge from node 1 to node 6 with capacity 12,\nan edge from node 2 to node 5 with capacity 10,\nan edge from node 2 to node 11 with capacity 17,\nan edge from node 2 to node 1 with capacity 11,\nan edge from node 2 to node 8 with capacity 17,\nan edge from node 2 to node 14 with capacity 7,\nan edge from node 2 to node 6 with capacity 3,\nan edge from node 3 to node 15 with capacity 9,\nan edge from node 3 to node 11 with capacity 15,\nan edge from node 3 to node 6 with capacity 19,\nan edge from node 4 to node 10 with capacity 18,\nan edge from node 4 to node 3 with capacity 14,\nan edge from node 4 to node 11 with capacity 15,\nan edge from node 4 to node 13 with capacity 14,\nan edge from node 4 to node 6 with capacity 3,\nan edge from node 5 to node 11 with capacity 18,\nan edge from node 5 to node 8 with capacity 9,\nan edge from node 5 to node 13 with capacity 2,\nan edge from node 5 to node 0 with capacity 17,\nan edge from node 6 to node 4 with capacity 19,\nan edge from node 6 to node 15 with capacity 11,\nan edge from node 6 to node 7 with capacity 1,\nan edge from node 6 to node 1 with capacity 15,\nan edge from node 7 to node 13 with capacity 14,\nan edge from node 8 to node 9 with capacity 5,\nan edge from node 8 to node 10 with capacity 12,\nan edge from node 8 to node 3 with capacity 9,\nan edge from node 8 to node 11 with capacity 9,\nan edge from node 8 to node 13 with capacity 17,\nan edge from node 8 to node 0 with capacity 5,\nan edge from node 8 to node 6 with capacity 5,\nan edge from node 9 to node 4 with capacity 3,\nan edge from node 9 to node 3 with capacity 13,\nan edge from node 9 to node 5 with capacity 7,\nan edge from node 9 to node 7 with capacity 18,\nan edge from node 10 to node 3 with capacity 7,\nan edge from node 10 to node 15 with capacity 19,\nan edge from node 10 to node 8 with capacity 10,\nan edge from node 11 to node 3 with capacity 20,\nan edge from node 11 to node 2 with capacity 12,\nan edge from node 11 to node 0 with capacity 16,\nan edge from node 12 to node 4 with capacity 16,\nan edge from node 12 to node 5 with capacity 11,\nan edge from node 12 to node 11 with capacity 15,\nan edge from node 12 to node 8 with capacity 3,\nan edge from node 12 to node 2 with capacity 8,\nan edge from node 12 to node 14 with capacity 13,\nan edge from node 13 to node 3 with capacity 6,\nan edge from node 13 to node 7 with capacity 5,\nan edge from node 13 to node 8 with capacity 2,\nan edge from node 14 to node 10 with capacity 12,\nan edge from node 14 to node 5 with capacity 17,\nan edge from node 14 to node 8 with capacity 19,\nan edge from node 15 to node 5 with capacity 8,\nan edge from node 15 to node 1 with capacity 5,\nan edge from node 15 to node 2 with capacity 9,\nWhat is the maximum flow from node 5 to node 12:"
            },
            {
                "from": "gpt",
                "value": "12."
            }
        ]
    },
    {
        "id": "flow-hard-graph216",
        "image": "data/flow/graph_visual/hard/graph216.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 4 with capacity 7,\nan edge from node 0 to node 5 with capacity 3,\nan edge from node 0 to node 9 with capacity 9,\nan edge from node 0 to node 8 with capacity 3,\nan edge from node 1 to node 0 with capacity 12,\nan edge from node 1 to node 2 with capacity 5,\nan edge from node 1 to node 11 with capacity 19,\nan edge from node 1 to node 9 with capacity 1,\nan edge from node 2 to node 3 with capacity 8,\nan edge from node 2 to node 9 with capacity 1,\nan edge from node 3 to node 10 with capacity 7,\nan edge from node 3 to node 11 with capacity 11,\nan edge from node 3 to node 5 with capacity 19,\nan edge from node 3 to node 7 with capacity 14,\nan edge from node 4 to node 6 with capacity 3,\nan edge from node 4 to node 9 with capacity 3,\nan edge from node 5 to node 10 with capacity 10,\nan edge from node 5 to node 7 with capacity 4,\nan edge from node 6 to node 0 with capacity 7,\nan edge from node 6 to node 1 with capacity 1,\nan edge from node 6 to node 7 with capacity 17,\nan edge from node 7 to node 5 with capacity 18,\nan edge from node 7 to node 6 with capacity 4,\nan edge from node 7 to node 9 with capacity 4,\nan edge from node 8 to node 0 with capacity 15,\nan edge from node 8 to node 1 with capacity 11,\nan edge from node 8 to node 4 with capacity 8,\nan edge from node 8 to node 3 with capacity 7,\nan edge from node 9 to node 4 with capacity 12,\nan edge from node 9 to node 3 with capacity 7,\nan edge from node 9 to node 6 with capacity 7,\nan edge from node 10 to node 1 with capacity 8,\nan edge from node 10 to node 11 with capacity 11,\nan edge from node 10 to node 5 with capacity 17,\nan edge from node 10 to node 6 with capacity 9,\nan edge from node 11 to node 4 with capacity 19,\nan edge from node 11 to node 6 with capacity 20,\nan edge from node 11 to node 9 with capacity 13,\nan edge from node 11 to node 8 with capacity 5,\nWhat is the maximum flow from node 1 to node 10:"
            },
            {
                "from": "gpt",
                "value": "17."
            }
        ]
    },
    {
        "id": "flow-hard-graph893",
        "image": "data/flow/graph_visual/hard/graph893.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 11 with capacity 16,\nan edge from node 0 to node 12 with capacity 17,\nan edge from node 0 to node 6 with capacity 13,\nan edge from node 0 to node 3 with capacity 5,\nan edge from node 0 to node 14 with capacity 10,\nan edge from node 1 to node 2 with capacity 4,\nan edge from node 1 to node 10 with capacity 7,\nan edge from node 2 to node 4 with capacity 2,\nan edge from node 2 to node 5 with capacity 5,\nan edge from node 2 to node 0 with capacity 12,\nan edge from node 2 to node 8 with capacity 9,\nan edge from node 3 to node 0 with capacity 3,\nan edge from node 3 to node 12 with capacity 9,\nan edge from node 4 to node 5 with capacity 17,\nan edge from node 5 to node 0 with capacity 17,\nan edge from node 5 to node 8 with capacity 5,\nan edge from node 6 to node 12 with capacity 2,\nan edge from node 6 to node 3 with capacity 5,\nan edge from node 7 to node 13 with capacity 11,\nan edge from node 7 to node 6 with capacity 16,\nan edge from node 7 to node 14 with capacity 4,\nan edge from node 8 to node 2 with capacity 4,\nan edge from node 8 to node 11 with capacity 10,\nan edge from node 8 to node 6 with capacity 7,\nan edge from node 8 to node 16 with capacity 10,\nan edge from node 8 to node 3 with capacity 20,\nan edge from node 8 to node 10 with capacity 10,\nan edge from node 9 to node 8 with capacity 8,\nan edge from node 9 to node 7 with capacity 13,\nan edge from node 9 to node 16 with capacity 3,\nan edge from node 9 to node 10 with capacity 8,\nan edge from node 10 to node 13 with capacity 10,\nan edge from node 10 to node 16 with capacity 12,\nan edge from node 10 to node 1 with capacity 19,\nan edge from node 10 to node 14 with capacity 12,\nan edge from node 11 to node 0 with capacity 5,\nan edge from node 12 to node 2 with capacity 16,\nan edge from node 12 to node 5 with capacity 12,\nan edge from node 12 to node 13 with capacity 20,\nan edge from node 13 to node 15 with capacity 19,\nan edge from node 13 to node 4 with capacity 18,\nan edge from node 13 to node 17 with capacity 5,\nan edge from node 13 to node 5 with capacity 20,\nan edge from node 13 to node 11 with capacity 15,\nan edge from node 13 to node 7 with capacity 20,\nan edge from node 13 to node 1 with capacity 1,\nan edge from node 14 to node 15 with capacity 17,\nan edge from node 14 to node 4 with capacity 20,\nan edge from node 14 to node 8 with capacity 18,\nan edge from node 14 to node 11 with capacity 6,\nan edge from node 14 to node 16 with capacity 17,\nan edge from node 14 to node 10 with capacity 11,\nan edge from node 15 to node 4 with capacity 18,\nan edge from node 15 to node 17 with capacity 19,\nan edge from node 15 to node 8 with capacity 3,\nan edge from node 15 to node 12 with capacity 8,\nan edge from node 16 to node 0 with capacity 1,\nan edge from node 16 to node 13 with capacity 17,\nan edge from node 16 to node 9 with capacity 1,\nan edge from node 17 to node 2 with capacity 6,\nan edge from node 17 to node 8 with capacity 10,\nan edge from node 17 to node 6 with capacity 4,\nan edge from node 17 to node 7 with capacity 10,\nWhat is the maximum flow from node 9 to node 10:"
            },
            {
                "from": "gpt",
                "value": "30."
            }
        ]
    },
    {
        "id": "flow-hard-graph842",
        "image": "data/flow/graph_visual/hard/graph842.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 13 with capacity 2,\nan edge from node 0 to node 6 with capacity 2,\nan edge from node 0 to node 16 with capacity 13,\nan edge from node 0 to node 7 with capacity 10,\nan edge from node 0 to node 17 with capacity 2,\nan edge from node 0 to node 14 with capacity 11,\nan edge from node 1 to node 16 with capacity 19,\nan edge from node 1 to node 17 with capacity 5,\nan edge from node 2 to node 10 with capacity 9,\nan edge from node 2 to node 11 with capacity 4,\nan edge from node 2 to node 5 with capacity 10,\nan edge from node 2 to node 1 with capacity 13,\nan edge from node 3 to node 15 with capacity 18,\nan edge from node 3 to node 5 with capacity 14,\nan edge from node 4 to node 16 with capacity 2,\nan edge from node 4 to node 15 with capacity 7,\nan edge from node 4 to node 14 with capacity 13,\nan edge from node 5 to node 8 with capacity 6,\nan edge from node 5 to node 3 with capacity 20,\nan edge from node 5 to node 15 with capacity 13,\nan edge from node 5 to node 14 with capacity 14,\nan edge from node 6 to node 8 with capacity 20,\nan edge from node 6 to node 10 with capacity 18,\nan edge from node 6 to node 11 with capacity 6,\nan edge from node 6 to node 5 with capacity 17,\nan edge from node 6 to node 0 with capacity 2,\nan edge from node 6 to node 9 with capacity 8,\nan edge from node 6 to node 12 with capacity 15,\nan edge from node 7 to node 8 with capacity 12,\nan edge from node 7 to node 6 with capacity 9,\nan edge from node 7 to node 10 with capacity 10,\nan edge from node 7 to node 15 with capacity 15,\nan edge from node 7 to node 17 with capacity 4,\nan edge from node 8 to node 2 with capacity 10,\nan edge from node 8 to node 0 with capacity 3,\nan edge from node 8 to node 7 with capacity 6,\nan edge from node 8 to node 12 with capacity 5,\nan edge from node 8 to node 1 with capacity 10,\nan edge from node 8 to node 14 with capacity 12,\nan edge from node 9 to node 13 with capacity 10,\nan edge from node 9 to node 3 with capacity 19,\nan edge from node 9 to node 4 with capacity 17,\nan edge from node 9 to node 16 with capacity 15,\nan edge from node 9 to node 11 with capacity 10,\nan edge from node 9 to node 5 with capacity 3,\nan edge from node 9 to node 0 with capacity 15,\nan edge from node 10 to node 16 with capacity 1,\nan edge from node 10 to node 15 with capacity 17,\nan edge from node 10 to node 5 with capacity 3,\nan edge from node 10 to node 7 with capacity 16,\nan edge from node 11 to node 15 with capacity 7,\nan edge from node 11 to node 5 with capacity 13,\nan edge from node 11 to node 9 with capacity 12,\nan edge from node 11 to node 17 with capacity 3,\nan edge from node 11 to node 14 with capacity 7,\nan edge from node 12 to node 13 with capacity 20,\nan edge from node 12 to node 5 with capacity 4,\nan edge from node 12 to node 17 with capacity 2,\nan edge from node 13 to node 3 with capacity 14,\nan edge from node 13 to node 4 with capacity 1,\nan edge from node 14 to node 8 with capacity 10,\nan edge from node 14 to node 6 with capacity 19,\nan edge from node 14 to node 5 with capacity 16,\nan edge from node 14 to node 7 with capacity 19,\nan edge from node 14 to node 17 with capacity 13,\nan edge from node 15 to node 8 with capacity 6,\nan edge from node 15 to node 16 with capacity 20,\nan edge from node 16 to node 10 with capacity 9,\nan edge from node 16 to node 9 with capacity 18,\nan edge from node 17 to node 13 with capacity 13,\nan edge from node 17 to node 8 with capacity 4,\nan edge from node 17 to node 5 with capacity 19,\nan edge from node 17 to node 12 with capacity 2,\nan edge from node 17 to node 14 with capacity 16,\nWhat is the maximum flow from node 8 to node 9:"
            },
            {
                "from": "gpt",
                "value": "36."
            }
        ]
    },
    {
        "id": "flow-hard-graph150",
        "image": "data/flow/graph_visual/hard/graph150.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 11 with capacity 12,\nan edge from node 0 to node 1 with capacity 4,\nan edge from node 0 to node 2 with capacity 11,\nan edge from node 0 to node 4 with capacity 18,\nan edge from node 1 to node 3 with capacity 12,\nan edge from node 1 to node 11 with capacity 9,\nan edge from node 1 to node 8 with capacity 2,\nan edge from node 1 to node 7 with capacity 5,\nan edge from node 1 to node 10 with capacity 13,\nan edge from node 1 to node 5 with capacity 16,\nan edge from node 1 to node 9 with capacity 15,\nan edge from node 2 to node 3 with capacity 3,\nan edge from node 2 to node 5 with capacity 1,\nan edge from node 3 to node 1 with capacity 11,\nan edge from node 4 to node 1 with capacity 10,\nan edge from node 4 to node 2 with capacity 20,\nan edge from node 6 to node 1 with capacity 3,\nan edge from node 7 to node 3 with capacity 3,\nan edge from node 7 to node 2 with capacity 3,\nan edge from node 8 to node 1 with capacity 15,\nan edge from node 8 to node 10 with capacity 14,\nan edge from node 9 to node 2 with capacity 3,\nan edge from node 10 to node 3 with capacity 8,\nan edge from node 10 to node 1 with capacity 2,\nan edge from node 10 to node 4 with capacity 17,\nan edge from node 11 to node 8 with capacity 10,\nan edge from node 11 to node 4 with capacity 6,\nWhat is the maximum flow from node 3 to node 4:"
            },
            {
                "from": "gpt",
                "value": "11."
            }
        ]
    },
    {
        "id": "flow-hard-graph1167",
        "image": "data/flow/graph_visual/hard/graph1167.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 4 with capacity 9,\nan edge from node 0 to node 12 with capacity 19,\nan edge from node 0 to node 8 with capacity 18,\nan edge from node 0 to node 2 with capacity 8,\nan edge from node 0 to node 19 with capacity 20,\nan edge from node 0 to node 13 with capacity 12,\nan edge from node 1 to node 6 with capacity 7,\nan edge from node 1 to node 18 with capacity 6,\nan edge from node 1 to node 2 with capacity 14,\nan edge from node 1 to node 11 with capacity 5,\nan edge from node 1 to node 9 with capacity 12,\nan edge from node 1 to node 7 with capacity 18,\nan edge from node 2 to node 15 with capacity 19,\nan edge from node 2 to node 8 with capacity 3,\nan edge from node 2 to node 18 with capacity 20,\nan edge from node 2 to node 17 with capacity 19,\nan edge from node 2 to node 19 with capacity 14,\nan edge from node 3 to node 12 with capacity 15,\nan edge from node 3 to node 18 with capacity 9,\nan edge from node 3 to node 10 with capacity 14,\nan edge from node 3 to node 9 with capacity 9,\nan edge from node 3 to node 5 with capacity 14,\nan edge from node 3 to node 7 with capacity 9,\nan edge from node 4 to node 12 with capacity 12,\nan edge from node 4 to node 14 with capacity 15,\nan edge from node 4 to node 17 with capacity 4,\nan edge from node 4 to node 5 with capacity 17,\nan edge from node 4 to node 13 with capacity 5,\nan edge from node 4 to node 3 with capacity 8,\nan edge from node 5 to node 7 with capacity 18,\nan edge from node 5 to node 13 with capacity 1,\nan edge from node 5 to node 0 with capacity 20,\nan edge from node 6 to node 4 with capacity 15,\nan edge from node 6 to node 18 with capacity 18,\nan edge from node 6 to node 14 with capacity 11,\nan edge from node 6 to node 1 with capacity 10,\nan edge from node 6 to node 16 with capacity 19,\nan edge from node 6 to node 3 with capacity 18,\nan edge from node 7 to node 6 with capacity 12,\nan edge from node 7 to node 18 with capacity 5,\nan edge from node 7 to node 17 with capacity 5,\nan edge from node 7 to node 11 with capacity 5,\nan edge from node 8 to node 5 with capacity 17,\nan edge from node 8 to node 0 with capacity 6,\nan edge from node 9 to node 4 with capacity 9,\nan edge from node 9 to node 8 with capacity 20,\nan edge from node 9 to node 7 with capacity 18,\nan edge from node 9 to node 3 with capacity 2,\nan edge from node 9 to node 0 with capacity 20,\nan edge from node 10 to node 4 with capacity 14,\nan edge from node 10 to node 12 with capacity 6,\nan edge from node 10 to node 14 with capacity 8,\nan edge from node 10 to node 1 with capacity 8,\nan edge from node 10 to node 13 with capacity 3,\nan edge from node 10 to node 0 with capacity 6,\nan edge from node 11 to node 4 with capacity 2,\nan edge from node 11 to node 12 with capacity 11,\nan edge from node 11 to node 19 with capacity 17,\nan edge from node 11 to node 3 with capacity 16,\nan edge from node 12 to node 4 with capacity 17,\nan edge from node 12 to node 17 with capacity 18,\nan edge from node 12 to node 9 with capacity 6,\nan edge from node 12 to node 19 with capacity 5,\nan edge from node 12 to node 13 with capacity 20,\nan edge from node 13 to node 15 with capacity 15,\nan edge from node 13 to node 12 with capacity 13,\nan edge from node 13 to node 8 with capacity 3,\nan edge from node 13 to node 10 with capacity 7,\nan edge from node 13 to node 11 with capacity 19,\nan edge from node 14 to node 17 with capacity 19,\nan edge from node 14 to node 13 with capacity 1,\nan edge from node 14 to node 16 with capacity 17,\nan edge from node 15 to node 6 with capacity 13,\nan edge from node 15 to node 14 with capacity 19,\nan edge from node 15 to node 11 with capacity 20,\nan edge from node 15 to node 9 with capacity 6,\nan edge from node 16 to node 15 with capacity 14,\nan edge from node 16 to node 19 with capacity 9,\nan edge from node 16 to node 5 with capacity 11,\nan edge from node 16 to node 1 with capacity 1,\nan edge from node 17 to node 6 with capacity 5,\nan edge from node 17 to node 14 with capacity 15,\nan edge from node 17 to node 13 with capacity 2,\nan edge from node 17 to node 3 with capacity 1,\nan edge from node 18 to node 15 with capacity 16,\nan edge from node 18 to node 6 with capacity 6,\nan edge from node 18 to node 10 with capacity 20,\nan edge from node 18 to node 16 with capacity 20,\nan edge from node 19 to node 15 with capacity 2,\nan edge from node 19 to node 7 with capacity 4,\nan edge from node 19 to node 0 with capacity 9,\nWhat is the maximum flow from node 13 to node 6:"
            },
            {
                "from": "gpt",
                "value": "43."
            }
        ]
    },
    {
        "id": "flow-hard-graph857",
        "image": "data/flow/graph_visual/hard/graph857.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 7 with capacity 20,\nan edge from node 0 to node 10 with capacity 7,\nan edge from node 0 to node 17 with capacity 4,\nan edge from node 0 to node 5 with capacity 12,\nan edge from node 1 to node 2 with capacity 14,\nan edge from node 1 to node 12 with capacity 12,\nan edge from node 1 to node 10 with capacity 2,\nan edge from node 2 to node 7 with capacity 3,\nan edge from node 2 to node 4 with capacity 1,\nan edge from node 2 to node 14 with capacity 16,\nan edge from node 2 to node 16 with capacity 11,\nan edge from node 2 to node 9 with capacity 11,\nan edge from node 3 to node 13 with capacity 19,\nan edge from node 3 to node 1 with capacity 9,\nan edge from node 3 to node 12 with capacity 19,\nan edge from node 3 to node 0 with capacity 4,\nan edge from node 4 to node 13 with capacity 18,\nan edge from node 4 to node 8 with capacity 5,\nan edge from node 4 to node 17 with capacity 11,\nan edge from node 4 to node 15 with capacity 20,\nan edge from node 4 to node 5 with capacity 17,\nan edge from node 5 to node 11 with capacity 9,\nan edge from node 5 to node 16 with capacity 5,\nan edge from node 5 to node 9 with capacity 18,\nan edge from node 6 to node 2 with capacity 11,\nan edge from node 6 to node 4 with capacity 2,\nan edge from node 6 to node 0 with capacity 5,\nan edge from node 6 to node 10 with capacity 20,\nan edge from node 6 to node 14 with capacity 10,\nan edge from node 7 to node 13 with capacity 5,\nan edge from node 7 to node 1 with capacity 9,\nan edge from node 7 to node 2 with capacity 1,\nan edge from node 7 to node 3 with capacity 12,\nan edge from node 7 to node 9 with capacity 3,\nan edge from node 8 to node 7 with capacity 13,\nan edge from node 8 to node 2 with capacity 2,\nan edge from node 8 to node 11 with capacity 15,\nan edge from node 8 to node 6 with capacity 15,\nan edge from node 8 to node 9 with capacity 13,\nan edge from node 8 to node 5 with capacity 20,\nan edge from node 9 to node 7 with capacity 10,\nan edge from node 9 to node 1 with capacity 1,\nan edge from node 9 to node 6 with capacity 1,\nan edge from node 9 to node 14 with capacity 9,\nan edge from node 9 to node 16 with capacity 6,\nan edge from node 10 to node 13 with capacity 8,\nan edge from node 10 to node 1 with capacity 14,\nan edge from node 10 to node 11 with capacity 9,\nan edge from node 10 to node 15 with capacity 11,\nan edge from node 11 to node 7 with capacity 20,\nan edge from node 11 to node 12 with capacity 20,\nan edge from node 12 to node 13 with capacity 16,\nan edge from node 12 to node 3 with capacity 14,\nan edge from node 12 to node 6 with capacity 15,\nan edge from node 13 to node 0 with capacity 9,\nan edge from node 13 to node 17 with capacity 5,\nan edge from node 13 to node 9 with capacity 2,\nan edge from node 14 to node 1 with capacity 4,\nan edge from node 14 to node 8 with capacity 5,\nan edge from node 14 to node 5 with capacity 17,\nan edge from node 15 to node 1 with capacity 4,\nan edge from node 15 to node 0 with capacity 9,\nan edge from node 15 to node 10 with capacity 2,\nan edge from node 16 to node 7 with capacity 6,\nan edge from node 16 to node 1 with capacity 18,\nan edge from node 16 to node 3 with capacity 5,\nan edge from node 16 to node 17 with capacity 7,\nan edge from node 16 to node 5 with capacity 4,\nan edge from node 17 to node 13 with capacity 5,\nan edge from node 17 to node 7 with capacity 7,\nan edge from node 17 to node 2 with capacity 7,\nan edge from node 17 to node 12 with capacity 6,\nWhat is the maximum flow from node 1 to node 0:"
            },
            {
                "from": "gpt",
                "value": "27."
            }
        ]
    },
    {
        "id": "flow-hard-graph950",
        "image": "data/flow/graph_visual/hard/graph950.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 12 with capacity 17,\nan edge from node 0 to node 4 with capacity 9,\nan edge from node 0 to node 10 with capacity 9,\nan edge from node 1 to node 12 with capacity 13,\nan edge from node 1 to node 11 with capacity 16,\nan edge from node 1 to node 5 with capacity 11,\nan edge from node 1 to node 8 with capacity 20,\nan edge from node 1 to node 7 with capacity 12,\nan edge from node 1 to node 10 with capacity 10,\nan edge from node 2 to node 17 with capacity 5,\nan edge from node 2 to node 16 with capacity 10,\nan edge from node 2 to node 14 with capacity 14,\nan edge from node 3 to node 13 with capacity 15,\nan edge from node 3 to node 4 with capacity 5,\nan edge from node 3 to node 2 with capacity 3,\nan edge from node 3 to node 5 with capacity 12,\nan edge from node 3 to node 10 with capacity 8,\nan edge from node 4 to node 12 with capacity 12,\nan edge from node 4 to node 0 with capacity 18,\nan edge from node 4 to node 16 with capacity 13,\nan edge from node 4 to node 5 with capacity 4,\nan edge from node 4 to node 14 with capacity 5,\nan edge from node 4 to node 9 with capacity 3,\nan edge from node 5 to node 3 with capacity 14,\nan edge from node 5 to node 8 with capacity 20,\nan edge from node 5 to node 7 with capacity 12,\nan edge from node 5 to node 15 with capacity 20,\nan edge from node 6 to node 0 with capacity 9,\nan edge from node 6 to node 1 with capacity 9,\nan edge from node 6 to node 16 with capacity 20,\nan edge from node 6 to node 5 with capacity 14,\nan edge from node 6 to node 8 with capacity 7,\nan edge from node 7 to node 13 with capacity 1,\nan edge from node 7 to node 2 with capacity 11,\nan edge from node 7 to node 3 with capacity 8,\nan edge from node 7 to node 16 with capacity 16,\nan edge from node 7 to node 6 with capacity 9,\nan edge from node 7 to node 8 with capacity 3,\nan edge from node 7 to node 9 with capacity 5,\nan edge from node 8 to node 2 with capacity 7,\nan edge from node 8 to node 17 with capacity 19,\nan edge from node 9 to node 12 with capacity 9,\nan edge from node 9 to node 16 with capacity 2,\nan edge from node 9 to node 8 with capacity 1,\nan edge from node 9 to node 14 with capacity 2,\nan edge from node 9 to node 15 with capacity 20,\nan edge from node 10 to node 4 with capacity 8,\nan edge from node 10 to node 17 with capacity 18,\nan edge from node 10 to node 5 with capacity 1,\nan edge from node 10 to node 15 with capacity 5,\nan edge from node 11 to node 2 with capacity 2,\nan edge from node 11 to node 17 with capacity 1,\nan edge from node 12 to node 4 with capacity 18,\nan edge from node 12 to node 11 with capacity 16,\nan edge from node 12 to node 17 with capacity 13,\nan edge from node 12 to node 1 with capacity 7,\nan edge from node 12 to node 6 with capacity 9,\nan edge from node 12 to node 14 with capacity 1,\nan edge from node 12 to node 15 with capacity 18,\nan edge from node 12 to node 9 with capacity 12,\nan edge from node 13 to node 4 with capacity 13,\nan edge from node 13 to node 3 with capacity 19,\nan edge from node 13 to node 17 with capacity 8,\nan edge from node 13 to node 16 with capacity 11,\nan edge from node 13 to node 5 with capacity 3,\nan edge from node 14 to node 4 with capacity 15,\nan edge from node 14 to node 0 with capacity 9,\nan edge from node 14 to node 10 with capacity 12,\nan edge from node 15 to node 4 with capacity 18,\nan edge from node 15 to node 3 with capacity 9,\nan edge from node 15 to node 6 with capacity 7,\nan edge from node 15 to node 7 with capacity 14,\nan edge from node 15 to node 10 with capacity 11,\nan edge from node 16 to node 11 with capacity 13,\nan edge from node 16 to node 0 with capacity 11,\nan edge from node 16 to node 1 with capacity 10,\nan edge from node 16 to node 5 with capacity 4,\nan edge from node 16 to node 15 with capacity 20,\nan edge from node 17 to node 13 with capacity 15,\nan edge from node 17 to node 11 with capacity 4,\nan edge from node 17 to node 1 with capacity 6,\nan edge from node 17 to node 6 with capacity 12,\nan edge from node 17 to node 7 with capacity 8,\nan edge from node 17 to node 15 with capacity 7,\nan edge from node 17 to node 10 with capacity 17,\nWhat is the maximum flow from node 1 to node 10:"
            },
            {
                "from": "gpt",
                "value": "67."
            }
        ]
    },
    {
        "id": "flow-hard-graph540",
        "image": "data/flow/graph_visual/hard/graph540.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 8 with capacity 10,\nan edge from node 0 to node 5 with capacity 1,\nan edge from node 1 to node 4 with capacity 13,\nan edge from node 1 to node 10 with capacity 4,\nan edge from node 1 to node 8 with capacity 2,\nan edge from node 1 to node 13 with capacity 5,\nan edge from node 1 to node 0 with capacity 15,\nan edge from node 2 to node 3 with capacity 1,\nan edge from node 2 to node 8 with capacity 15,\nan edge from node 2 to node 12 with capacity 10,\nan edge from node 3 to node 11 with capacity 4,\nan edge from node 3 to node 9 with capacity 19,\nan edge from node 4 to node 3 with capacity 17,\nan edge from node 4 to node 8 with capacity 7,\nan edge from node 4 to node 11 with capacity 15,\nan edge from node 4 to node 13 with capacity 9,\nan edge from node 4 to node 5 with capacity 17,\nan edge from node 4 to node 7 with capacity 9,\nan edge from node 4 to node 0 with capacity 18,\nan edge from node 5 to node 3 with capacity 7,\nan edge from node 5 to node 10 with capacity 7,\nan edge from node 5 to node 8 with capacity 9,\nan edge from node 5 to node 7 with capacity 1,\nan edge from node 5 to node 6 with capacity 11,\nan edge from node 6 to node 4 with capacity 15,\nan edge from node 6 to node 8 with capacity 19,\nan edge from node 6 to node 11 with capacity 15,\nan edge from node 6 to node 5 with capacity 15,\nan edge from node 6 to node 7 with capacity 12,\nan edge from node 6 to node 9 with capacity 20,\nan edge from node 7 to node 11 with capacity 17,\nan edge from node 7 to node 12 with capacity 7,\nan edge from node 7 to node 9 with capacity 17,\nan edge from node 7 to node 14 with capacity 16,\nan edge from node 8 to node 3 with capacity 8,\nan edge from node 8 to node 11 with capacity 17,\nan edge from node 9 to node 4 with capacity 5,\nan edge from node 9 to node 13 with capacity 19,\nan edge from node 9 to node 12 with capacity 8,\nan edge from node 10 to node 1 with capacity 14,\nan edge from node 10 to node 4 with capacity 11,\nan edge from node 10 to node 11 with capacity 9,\nan edge from node 10 to node 7 with capacity 13,\nan edge from node 10 to node 6 with capacity 6,\nan edge from node 10 to node 14 with capacity 18,\nan edge from node 11 to node 1 with capacity 11,\nan edge from node 11 to node 10 with capacity 14,\nan edge from node 11 to node 5 with capacity 16,\nan edge from node 11 to node 14 with capacity 2,\nan edge from node 12 to node 1 with capacity 16,\nan edge from node 12 to node 4 with capacity 5,\nan edge from node 12 to node 6 with capacity 15,\nan edge from node 13 to node 4 with capacity 17,\nan edge from node 13 to node 12 with capacity 11,\nan edge from node 13 to node 14 with capacity 13,\nan edge from node 14 to node 3 with capacity 12,\nan edge from node 14 to node 4 with capacity 9,\nan edge from node 14 to node 8 with capacity 20,\nan edge from node 14 to node 2 with capacity 4,\nan edge from node 14 to node 5 with capacity 8,\nan edge from node 14 to node 7 with capacity 8,\nan edge from node 14 to node 12 with capacity 18,\nan edge from node 14 to node 9 with capacity 19,\nWhat is the maximum flow from node 14 to node 0:"
            },
            {
                "from": "gpt",
                "value": "33."
            }
        ]
    },
    {
        "id": "flow-hard-graph646",
        "image": "data/flow/graph_visual/hard/graph646.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 2 with capacity 16,\nan edge from node 0 to node 5 with capacity 5,\nan edge from node 0 to node 12 with capacity 18,\nan edge from node 0 to node 14 with capacity 12,\nan edge from node 0 to node 9 with capacity 13,\nan edge from node 1 to node 7 with capacity 3,\nan edge from node 1 to node 14 with capacity 13,\nan edge from node 1 to node 0 with capacity 15,\nan edge from node 2 to node 1 with capacity 9,\nan edge from node 2 to node 0 with capacity 5,\nan edge from node 3 to node 4 with capacity 8,\nan edge from node 3 to node 2 with capacity 9,\nan edge from node 3 to node 15 with capacity 20,\nan edge from node 3 to node 14 with capacity 11,\nan edge from node 3 to node 0 with capacity 10,\nan edge from node 4 to node 2 with capacity 1,\nan edge from node 4 to node 6 with capacity 3,\nan edge from node 4 to node 12 with capacity 11,\nan edge from node 4 to node 1 with capacity 7,\nan edge from node 5 to node 7 with capacity 18,\nan edge from node 5 to node 2 with capacity 4,\nan edge from node 5 to node 1 with capacity 20,\nan edge from node 5 to node 0 with capacity 11,\nan edge from node 6 to node 10 with capacity 4,\nan edge from node 6 to node 13 with capacity 4,\nan edge from node 6 to node 1 with capacity 2,\nan edge from node 6 to node 9 with capacity 19,\nan edge from node 6 to node 3 with capacity 9,\nan edge from node 7 to node 5 with capacity 19,\nan edge from node 7 to node 1 with capacity 6,\nan edge from node 7 to node 3 with capacity 16,\nan edge from node 8 to node 1 with capacity 4,\nan edge from node 8 to node 0 with capacity 17,\nan edge from node 9 to node 4 with capacity 6,\nan edge from node 9 to node 5 with capacity 6,\nan edge from node 9 to node 14 with capacity 5,\nan edge from node 9 to node 3 with capacity 20,\nan edge from node 10 to node 7 with capacity 11,\nan edge from node 10 to node 11 with capacity 12,\nan edge from node 10 to node 0 with capacity 6,\nan edge from node 11 to node 7 with capacity 15,\nan edge from node 11 to node 8 with capacity 6,\nan edge from node 11 to node 13 with capacity 5,\nan edge from node 11 to node 14 with capacity 9,\nan edge from node 11 to node 1 with capacity 20,\nan edge from node 11 to node 9 with capacity 9,\nan edge from node 13 to node 8 with capacity 1,\nan edge from node 13 to node 12 with capacity 6,\nan edge from node 14 to node 7 with capacity 2,\nan edge from node 14 to node 4 with capacity 10,\nan edge from node 14 to node 12 with capacity 7,\nan edge from node 15 to node 7 with capacity 12,\nan edge from node 15 to node 2 with capacity 5,\nan edge from node 15 to node 13 with capacity 5,\nan edge from node 15 to node 14 with capacity 18,\nan edge from node 15 to node 0 with capacity 18,\nan edge from node 15 to node 3 with capacity 15,\nWhat is the maximum flow from node 12 to node 10:"
            },
            {
                "from": "gpt",
                "value": "0."
            }
        ]
    },
    {
        "id": "flow-hard-graph1014",
        "image": "data/flow/graph_visual/hard/graph1014.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 15 with capacity 13,\nan edge from node 0 to node 11 with capacity 18,\nan edge from node 0 to node 8 with capacity 14,\nan edge from node 0 to node 7 with capacity 6,\nan edge from node 0 to node 17 with capacity 9,\nan edge from node 1 to node 16 with capacity 15,\nan edge from node 1 to node 11 with capacity 18,\nan edge from node 1 to node 8 with capacity 8,\nan edge from node 1 to node 14 with capacity 11,\nan edge from node 1 to node 7 with capacity 7,\nan edge from node 1 to node 18 with capacity 12,\nan edge from node 2 to node 9 with capacity 10,\nan edge from node 2 to node 8 with capacity 13,\nan edge from node 3 to node 16 with capacity 9,\nan edge from node 3 to node 10 with capacity 6,\nan edge from node 3 to node 11 with capacity 8,\nan edge from node 3 to node 13 with capacity 13,\nan edge from node 3 to node 8 with capacity 10,\nan edge from node 3 to node 12 with capacity 15,\nan edge from node 3 to node 17 with capacity 20,\nan edge from node 3 to node 1 with capacity 3,\nan edge from node 4 to node 15 with capacity 2,\nan edge from node 4 to node 6 with capacity 19,\nan edge from node 4 to node 16 with capacity 10,\nan edge from node 4 to node 10 with capacity 11,\nan edge from node 4 to node 5 with capacity 12,\nan edge from node 5 to node 15 with capacity 4,\nan edge from node 5 to node 0 with capacity 5,\nan edge from node 5 to node 13 with capacity 4,\nan edge from node 5 to node 9 with capacity 2,\nan edge from node 5 to node 14 with capacity 5,\nan edge from node 5 to node 12 with capacity 9,\nan edge from node 5 to node 18 with capacity 9,\nan edge from node 5 to node 1 with capacity 2,\nan edge from node 6 to node 15 with capacity 9,\nan edge from node 6 to node 0 with capacity 2,\nan edge from node 6 to node 11 with capacity 5,\nan edge from node 6 to node 14 with capacity 15,\nan edge from node 6 to node 5 with capacity 14,\nan edge from node 6 to node 2 with capacity 4,\nan edge from node 7 to node 11 with capacity 8,\nan edge from node 7 to node 13 with capacity 1,\nan edge from node 7 to node 3 with capacity 5,\nan edge from node 7 to node 14 with capacity 6,\nan edge from node 7 to node 4 with capacity 8,\nan edge from node 7 to node 5 with capacity 18,\nan edge from node 7 to node 18 with capacity 5,\nan edge from node 8 to node 0 with capacity 15,\nan edge from node 8 to node 6 with capacity 5,\nan edge from node 8 to node 9 with capacity 14,\nan edge from node 8 to node 17 with capacity 3,\nan edge from node 9 to node 6 with capacity 2,\nan edge from node 9 to node 10 with capacity 16,\nan edge from node 9 to node 14 with capacity 7,\nan edge from node 9 to node 12 with capacity 15,\nan edge from node 10 to node 15 with capacity 2,\nan edge from node 10 to node 9 with capacity 19,\nan edge from node 10 to node 3 with capacity 3,\nan edge from node 10 to node 8 with capacity 15,\nan edge from node 10 to node 14 with capacity 8,\nan edge from node 10 to node 7 with capacity 15,\nan edge from node 10 to node 18 with capacity 13,\nan edge from node 11 to node 15 with capacity 7,\nan edge from node 11 to node 0 with capacity 9,\nan edge from node 11 to node 16 with capacity 14,\nan edge from node 11 to node 8 with capacity 10,\nan edge from node 11 to node 14 with capacity 18,\nan edge from node 11 to node 4 with capacity 4,\nan edge from node 12 to node 15 with capacity 8,\nan edge from node 12 to node 11 with capacity 13,\nan edge from node 12 to node 9 with capacity 20,\nan edge from node 12 to node 5 with capacity 9,\nan edge from node 12 to node 17 with capacity 14,\nan edge from node 13 to node 15 with capacity 7,\nan edge from node 13 to node 16 with capacity 3,\nan edge from node 13 to node 7 with capacity 17,\nan edge from node 14 to node 6 with capacity 10,\nan edge from node 14 to node 11 with capacity 2,\nan edge from node 14 to node 3 with capacity 13,\nan edge from node 14 to node 7 with capacity 2,\nan edge from node 14 to node 17 with capacity 8,\nan edge from node 15 to node 8 with capacity 10,\nan edge from node 15 to node 14 with capacity 11,\nan edge from node 15 to node 4 with capacity 18,\nan edge from node 15 to node 7 with capacity 13,\nan edge from node 15 to node 17 with capacity 7,\nan edge from node 16 to node 10 with capacity 7,\nan edge from node 16 to node 13 with capacity 4,\nan edge from node 16 to node 8 with capacity 14,\nan edge from node 16 to node 4 with capacity 7,\nan edge from node 16 to node 17 with capacity 3,\nan edge from node 16 to node 2 with capacity 13,\nan edge from node 17 to node 0 with capacity 3,\nan edge from node 17 to node 10 with capacity 15,\nan edge from node 17 to node 13 with capacity 8,\nan edge from node 17 to node 18 with capacity 15,\nan edge from node 18 to node 8 with capacity 10,\nan edge from node 18 to node 5 with capacity 1,\nan edge from node 18 to node 1 with capacity 4,\nWhat is the maximum flow from node 7 to node 13:"
            },
            {
                "from": "gpt",
                "value": "30."
            }
        ]
    },
    {
        "id": "flow-hard-graph713",
        "image": "data/flow/graph_visual/hard/graph713.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 8 with capacity 12,\nan edge from node 1 to node 9 with capacity 9,\nan edge from node 1 to node 0 with capacity 2,\nan edge from node 1 to node 10 with capacity 10,\nan edge from node 1 to node 2 with capacity 15,\nan edge from node 2 to node 12 with capacity 2,\nan edge from node 2 to node 5 with capacity 6,\nan edge from node 2 to node 0 with capacity 10,\nan edge from node 2 to node 13 with capacity 14,\nan edge from node 2 to node 8 with capacity 11,\nan edge from node 2 to node 6 with capacity 3,\nan edge from node 3 to node 14 with capacity 4,\nan edge from node 3 to node 13 with capacity 11,\nan edge from node 3 to node 11 with capacity 2,\nan edge from node 3 to node 4 with capacity 20,\nan edge from node 4 to node 1 with capacity 20,\nan edge from node 4 to node 9 with capacity 5,\nan edge from node 4 to node 10 with capacity 10,\nan edge from node 4 to node 2 with capacity 4,\nan edge from node 5 to node 0 with capacity 11,\nan edge from node 5 to node 7 with capacity 17,\nan edge from node 5 to node 13 with capacity 9,\nan edge from node 5 to node 8 with capacity 18,\nan edge from node 6 to node 12 with capacity 18,\nan edge from node 6 to node 3 with capacity 16,\nan edge from node 6 to node 7 with capacity 12,\nan edge from node 6 to node 11 with capacity 3,\nan edge from node 7 to node 14 with capacity 19,\nan edge from node 7 to node 3 with capacity 8,\nan edge from node 7 to node 15 with capacity 18,\nan edge from node 7 to node 8 with capacity 4,\nan edge from node 7 to node 11 with capacity 13,\nan edge from node 8 to node 14 with capacity 3,\nan edge from node 8 to node 11 with capacity 3,\nan edge from node 9 to node 2 with capacity 15,\nan edge from node 10 to node 1 with capacity 10,\nan edge from node 10 to node 0 with capacity 9,\nan edge from node 10 to node 13 with capacity 18,\nan edge from node 10 to node 4 with capacity 15,\nan edge from node 11 to node 5 with capacity 6,\nan edge from node 11 to node 6 with capacity 9,\nan edge from node 12 to node 8 with capacity 19,\nan edge from node 12 to node 11 with capacity 10,\nan edge from node 13 to node 12 with capacity 13,\nan edge from node 13 to node 2 with capacity 2,\nan edge from node 14 to node 3 with capacity 4,\nan edge from node 14 to node 15 with capacity 2,\nan edge from node 14 to node 13 with capacity 8,\nan edge from node 14 to node 4 with capacity 4,\nan edge from node 14 to node 2 with capacity 4,\nan edge from node 15 to node 3 with capacity 19,\nan edge from node 15 to node 13 with capacity 5,\nan edge from node 15 to node 4 with capacity 19,\nWhat is the maximum flow from node 3 to node 1:"
            },
            {
                "from": "gpt",
                "value": "30."
            }
        ]
    },
    {
        "id": "flow-hard-graph1041",
        "image": "data/flow/graph_visual/hard/graph1041.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 1 to node 4 with capacity 6,\nan edge from node 1 to node 6 with capacity 7,\nan edge from node 1 to node 12 with capacity 15,\nan edge from node 1 to node 7 with capacity 8,\nan edge from node 1 to node 8 with capacity 12,\nan edge from node 2 to node 6 with capacity 14,\nan edge from node 2 to node 9 with capacity 7,\nan edge from node 2 to node 11 with capacity 15,\nan edge from node 2 to node 0 with capacity 12,\nan edge from node 3 to node 4 with capacity 15,\nan edge from node 3 to node 11 with capacity 13,\nan edge from node 4 to node 6 with capacity 17,\nan edge from node 4 to node 11 with capacity 19,\nan edge from node 4 to node 1 with capacity 12,\nan edge from node 4 to node 8 with capacity 3,\nan edge from node 5 to node 12 with capacity 15,\nan edge from node 6 to node 4 with capacity 7,\nan edge from node 6 to node 5 with capacity 6,\nan edge from node 6 to node 0 with capacity 2,\nan edge from node 6 to node 16 with capacity 8,\nan edge from node 6 to node 8 with capacity 17,\nan edge from node 8 to node 4 with capacity 3,\nan edge from node 8 to node 15 with capacity 14,\nan edge from node 8 to node 6 with capacity 10,\nan edge from node 8 to node 18 with capacity 4,\nan edge from node 8 to node 10 with capacity 13,\nan edge from node 8 to node 7 with capacity 15,\nan edge from node 8 to node 16 with capacity 8,\nan edge from node 9 to node 6 with capacity 15,\nan edge from node 9 to node 18 with capacity 6,\nan edge from node 9 to node 14 with capacity 11,\nan edge from node 9 to node 13 with capacity 17,\nan edge from node 9 to node 1 with capacity 17,\nan edge from node 10 to node 4 with capacity 17,\nan edge from node 10 to node 3 with capacity 15,\nan edge from node 10 to node 17 with capacity 4,\nan edge from node 10 to node 16 with capacity 19,\nan edge from node 11 to node 9 with capacity 2,\nan edge from node 11 to node 17 with capacity 4,\nan edge from node 12 to node 15 with capacity 17,\nan edge from node 12 to node 10 with capacity 18,\nan edge from node 12 to node 0 with capacity 8,\nan edge from node 12 to node 16 with capacity 14,\nan edge from node 12 to node 8 with capacity 4,\nan edge from node 13 to node 11 with capacity 1,\nan edge from node 13 to node 5 with capacity 2,\nan edge from node 14 to node 4 with capacity 9,\nan edge from node 14 to node 3 with capacity 11,\nan edge from node 14 to node 9 with capacity 17,\nan edge from node 14 to node 7 with capacity 3,\nan edge from node 14 to node 0 with capacity 12,\nan edge from node 14 to node 2 with capacity 12,\nan edge from node 15 to node 6 with capacity 1,\nan edge from node 15 to node 12 with capacity 14,\nan edge from node 15 to node 18 with capacity 10,\nan edge from node 15 to node 14 with capacity 7,\nan edge from node 15 to node 7 with capacity 8,\nan edge from node 15 to node 0 with capacity 15,\nan edge from node 15 to node 16 with capacity 14,\nan edge from node 16 to node 4 with capacity 11,\nan edge from node 16 to node 3 with capacity 12,\nan edge from node 16 to node 12 with capacity 11,\nan edge from node 16 to node 13 with capacity 1,\nan edge from node 16 to node 17 with capacity 18,\nan edge from node 16 to node 2 with capacity 18,\nan edge from node 17 to node 6 with capacity 19,\nan edge from node 17 to node 18 with capacity 1,\nan edge from node 17 to node 10 with capacity 3,\nan edge from node 17 to node 13 with capacity 8,\nan edge from node 18 to node 15 with capacity 12,\nan edge from node 18 to node 12 with capacity 1,\nan edge from node 18 to node 1 with capacity 2,\nan edge from node 18 to node 5 with capacity 2,\nan edge from node 18 to node 16 with capacity 6,\nan edge from node 18 to node 2 with capacity 13,\nWhat is the maximum flow from node 6 to node 11:"
            },
            {
                "from": "gpt",
                "value": "38."
            }
        ]
    },
    {
        "id": "flow-hard-graph509",
        "image": "data/flow/graph_visual/hard/graph509.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 7 with capacity 17,\nan edge from node 0 to node 12 with capacity 4,\nan edge from node 0 to node 4 with capacity 9,\nan edge from node 0 to node 13 with capacity 7,\nan edge from node 0 to node 6 with capacity 15,\nan edge from node 1 to node 12 with capacity 12,\nan edge from node 1 to node 5 with capacity 4,\nan edge from node 1 to node 8 with capacity 19,\nan edge from node 1 to node 4 with capacity 11,\nan edge from node 2 to node 12 with capacity 5,\nan edge from node 2 to node 9 with capacity 12,\nan edge from node 2 to node 4 with capacity 5,\nan edge from node 3 to node 10 with capacity 18,\nan edge from node 3 to node 14 with capacity 17,\nan edge from node 3 to node 2 with capacity 5,\nan edge from node 3 to node 12 with capacity 5,\nan edge from node 3 to node 8 with capacity 13,\nan edge from node 3 to node 4 with capacity 1,\nan edge from node 3 to node 13 with capacity 7,\nan edge from node 4 to node 11 with capacity 4,\nan edge from node 4 to node 7 with capacity 7,\nan edge from node 4 to node 0 with capacity 7,\nan edge from node 4 to node 9 with capacity 20,\nan edge from node 4 to node 3 with capacity 5,\nan edge from node 5 to node 10 with capacity 12,\nan edge from node 5 to node 1 with capacity 8,\nan edge from node 5 to node 0 with capacity 20,\nan edge from node 5 to node 12 with capacity 5,\nan edge from node 5 to node 4 with capacity 9,\nan edge from node 5 to node 3 with capacity 5,\nan edge from node 5 to node 13 with capacity 1,\nan edge from node 6 to node 10 with capacity 16,\nan edge from node 6 to node 11 with capacity 14,\nan edge from node 6 to node 8 with capacity 5,\nan edge from node 6 to node 3 with capacity 11,\nan edge from node 7 to node 2 with capacity 20,\nan edge from node 7 to node 0 with capacity 9,\nan edge from node 7 to node 8 with capacity 20,\nan edge from node 7 to node 3 with capacity 5,\nan edge from node 7 to node 13 with capacity 12,\nan edge from node 7 to node 6 with capacity 1,\nan edge from node 8 to node 14 with capacity 3,\nan edge from node 8 to node 1 with capacity 9,\nan edge from node 8 to node 6 with capacity 1,\nan edge from node 9 to node 0 with capacity 10,\nan edge from node 9 to node 12 with capacity 10,\nan edge from node 10 to node 5 with capacity 1,\nan edge from node 10 to node 8 with capacity 10,\nan edge from node 11 to node 10 with capacity 6,\nan edge from node 11 to node 1 with capacity 16,\nan edge from node 11 to node 12 with capacity 6,\nan edge from node 11 to node 8 with capacity 17,\nan edge from node 12 to node 2 with capacity 14,\nan edge from node 12 to node 7 with capacity 10,\nan edge from node 12 to node 4 with capacity 1,\nan edge from node 12 to node 3 with capacity 12,\nan edge from node 12 to node 6 with capacity 16,\nan edge from node 13 to node 14 with capacity 8,\nan edge from node 13 to node 2 with capacity 16,\nan edge from node 13 to node 7 with capacity 7,\nan edge from node 13 to node 12 with capacity 15,\nan edge from node 13 to node 8 with capacity 12,\nan edge from node 13 to node 9 with capacity 12,\nan edge from node 13 to node 4 with capacity 6,\nan edge from node 14 to node 8 with capacity 17,\nan edge from node 14 to node 13 with capacity 6,\nWhat is the maximum flow from node 7 to node 1:"
            },
            {
                "from": "gpt",
                "value": "26."
            }
        ]
    },
    {
        "id": "flow-hard-graph676",
        "image": "data/flow/graph_visual/hard/graph676.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 13 with capacity 6,\nan edge from node 0 to node 8 with capacity 11,\nan edge from node 0 to node 4 with capacity 2,\nan edge from node 0 to node 12 with capacity 10,\nan edge from node 0 to node 2 with capacity 3,\nan edge from node 0 to node 10 with capacity 11,\nan edge from node 0 to node 14 with capacity 16,\nan edge from node 1 to node 7 with capacity 18,\nan edge from node 1 to node 2 with capacity 3,\nan edge from node 1 to node 11 with capacity 20,\nan edge from node 1 to node 3 with capacity 5,\nan edge from node 2 to node 8 with capacity 11,\nan edge from node 2 to node 6 with capacity 16,\nan edge from node 3 to node 7 with capacity 12,\nan edge from node 3 to node 4 with capacity 12,\nan edge from node 4 to node 13 with capacity 11,\nan edge from node 4 to node 8 with capacity 3,\nan edge from node 4 to node 1 with capacity 12,\nan edge from node 4 to node 12 with capacity 6,\nan edge from node 4 to node 10 with capacity 11,\nan edge from node 4 to node 14 with capacity 1,\nan edge from node 5 to node 8 with capacity 13,\nan edge from node 5 to node 12 with capacity 10,\nan edge from node 5 to node 0 with capacity 11,\nan edge from node 5 to node 6 with capacity 3,\nan edge from node 5 to node 14 with capacity 18,\nan edge from node 5 to node 3 with capacity 4,\nan edge from node 6 to node 13 with capacity 17,\nan edge from node 6 to node 8 with capacity 17,\nan edge from node 6 to node 1 with capacity 16,\nan edge from node 6 to node 0 with capacity 10,\nan edge from node 6 to node 9 with capacity 10,\nan edge from node 6 to node 15 with capacity 2,\nan edge from node 7 to node 8 with capacity 7,\nan edge from node 7 to node 12 with capacity 4,\nan edge from node 7 to node 0 with capacity 1,\nan edge from node 8 to node 7 with capacity 6,\nan edge from node 8 to node 1 with capacity 20,\nan edge from node 8 to node 12 with capacity 2,\nan edge from node 8 to node 5 with capacity 11,\nan edge from node 8 to node 14 with capacity 2,\nan edge from node 9 to node 0 with capacity 17,\nan edge from node 9 to node 6 with capacity 1,\nan edge from node 10 to node 13 with capacity 17,\nan edge from node 10 to node 14 with capacity 12,\nan edge from node 10 to node 11 with capacity 11,\nan edge from node 11 to node 13 with capacity 16,\nan edge from node 11 to node 4 with capacity 8,\nan edge from node 11 to node 0 with capacity 18,\nan edge from node 11 to node 6 with capacity 6,\nan edge from node 11 to node 14 with capacity 3,\nan edge from node 11 to node 15 with capacity 4,\nan edge from node 12 to node 0 with capacity 8,\nan edge from node 12 to node 9 with capacity 6,\nan edge from node 12 to node 14 with capacity 19,\nan edge from node 12 to node 11 with capacity 19,\nan edge from node 13 to node 4 with capacity 20,\nan edge from node 13 to node 2 with capacity 5,\nan edge from node 13 to node 6 with capacity 10,\nan edge from node 13 to node 15 with capacity 3,\nan edge from node 14 to node 13 with capacity 4,\nan edge from node 14 to node 8 with capacity 13,\nan edge from node 14 to node 12 with capacity 8,\nan edge from node 14 to node 9 with capacity 5,\nan edge from node 14 to node 11 with capacity 2,\nan edge from node 14 to node 3 with capacity 6,\nan edge from node 15 to node 13 with capacity 10,\nan edge from node 15 to node 3 with capacity 17,\nWhat is the maximum flow from node 2 to node 11:"
            },
            {
                "from": "gpt",
                "value": "27."
            }
        ]
    },
    {
        "id": "flow-hard-graph768",
        "image": "data/flow/graph_visual/hard/graph768.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 11 with capacity 17,\nan edge from node 0 to node 6 with capacity 19,\nan edge from node 0 to node 12 with capacity 5,\nan edge from node 0 to node 1 with capacity 4,\nan edge from node 1 to node 7 with capacity 8,\nan edge from node 1 to node 13 with capacity 17,\nan edge from node 1 to node 8 with capacity 13,\nan edge from node 1 to node 14 with capacity 10,\nan edge from node 1 to node 10 with capacity 8,\nan edge from node 2 to node 12 with capacity 17,\nan edge from node 2 to node 13 with capacity 7,\nan edge from node 2 to node 1 with capacity 17,\nan edge from node 2 to node 4 with capacity 12,\nan edge from node 2 to node 8 with capacity 12,\nan edge from node 2 to node 15 with capacity 16,\nan edge from node 2 to node 10 with capacity 9,\nan edge from node 3 to node 12 with capacity 13,\nan edge from node 3 to node 9 with capacity 9,\nan edge from node 3 to node 16 with capacity 6,\nan edge from node 3 to node 8 with capacity 13,\nan edge from node 3 to node 2 with capacity 13,\nan edge from node 4 to node 13 with capacity 5,\nan edge from node 4 to node 2 with capacity 20,\nan edge from node 5 to node 7 with capacity 10,\nan edge from node 5 to node 1 with capacity 6,\nan edge from node 5 to node 4 with capacity 16,\nan edge from node 5 to node 15 with capacity 12,\nan edge from node 5 to node 3 with capacity 3,\nan edge from node 5 to node 2 with capacity 8,\nan edge from node 7 to node 11 with capacity 5,\nan edge from node 7 to node 12 with capacity 16,\nan edge from node 7 to node 13 with capacity 9,\nan edge from node 7 to node 1 with capacity 4,\nan edge from node 7 to node 5 with capacity 17,\nan edge from node 7 to node 3 with capacity 11,\nan edge from node 7 to node 10 with capacity 4,\nan edge from node 8 to node 12 with capacity 9,\nan edge from node 8 to node 7 with capacity 7,\nan edge from node 8 to node 15 with capacity 17,\nan edge from node 8 to node 3 with capacity 2,\nan edge from node 8 to node 0 with capacity 13,\nan edge from node 9 to node 6 with capacity 5,\nan edge from node 9 to node 7 with capacity 12,\nan edge from node 9 to node 1 with capacity 10,\nan edge from node 9 to node 5 with capacity 2,\nan edge from node 9 to node 15 with capacity 17,\nan edge from node 10 to node 1 with capacity 6,\nan edge from node 10 to node 4 with capacity 7,\nan edge from node 11 to node 12 with capacity 8,\nan edge from node 11 to node 16 with capacity 14,\nan edge from node 11 to node 1 with capacity 10,\nan edge from node 12 to node 4 with capacity 3,\nan edge from node 12 to node 5 with capacity 1,\nan edge from node 12 to node 15 with capacity 8,\nan edge from node 13 to node 6 with capacity 5,\nan edge from node 13 to node 16 with capacity 10,\nan edge from node 13 to node 7 with capacity 14,\nan edge from node 13 to node 1 with capacity 13,\nan edge from node 13 to node 14 with capacity 2,\nan edge from node 13 to node 5 with capacity 11,\nan edge from node 13 to node 3 with capacity 7,\nan edge from node 14 to node 12 with capacity 18,\nan edge from node 14 to node 5 with capacity 5,\nan edge from node 14 to node 15 with capacity 12,\nan edge from node 14 to node 3 with capacity 17,\nan edge from node 15 to node 9 with capacity 18,\nan edge from node 15 to node 2 with capacity 17,\nan edge from node 16 to node 6 with capacity 3,\nan edge from node 16 to node 5 with capacity 14,\nan edge from node 16 to node 3 with capacity 11,\nan edge from node 16 to node 2 with capacity 7,\nWhat is the maximum flow from node 0 to node 12:"
            },
            {
                "from": "gpt",
                "value": "26."
            }
        ]
    },
    {
        "id": "flow-hard-graph533",
        "image": "data/flow/graph_visual/hard/graph533.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 9 with capacity 12,\nan edge from node 1 to node 3 with capacity 20,\nan edge from node 1 to node 0 with capacity 11,\nan edge from node 1 to node 2 with capacity 12,\nan edge from node 2 to node 4 with capacity 18,\nan edge from node 2 to node 0 with capacity 15,\nan edge from node 2 to node 6 with capacity 8,\nan edge from node 3 to node 13 with capacity 15,\nan edge from node 4 to node 1 with capacity 4,\nan edge from node 4 to node 3 with capacity 16,\nan edge from node 4 to node 12 with capacity 10,\nan edge from node 4 to node 13 with capacity 19,\nan edge from node 4 to node 2 with capacity 17,\nan edge from node 5 to node 8 with capacity 14,\nan edge from node 5 to node 0 with capacity 6,\nan edge from node 5 to node 11 with capacity 17,\nan edge from node 5 to node 10 with capacity 12,\nan edge from node 5 to node 13 with capacity 3,\nan edge from node 5 to node 6 with capacity 12,\nan edge from node 6 to node 4 with capacity 2,\nan edge from node 6 to node 9 with capacity 5,\nan edge from node 6 to node 10 with capacity 10,\nan edge from node 7 to node 10 with capacity 9,\nan edge from node 8 to node 12 with capacity 18,\nan edge from node 8 to node 0 with capacity 13,\nan edge from node 8 to node 14 with capacity 9,\nan edge from node 8 to node 7 with capacity 3,\nan edge from node 8 to node 13 with capacity 16,\nan edge from node 8 to node 2 with capacity 14,\nan edge from node 8 to node 6 with capacity 19,\nan edge from node 9 to node 4 with capacity 12,\nan edge from node 9 to node 12 with capacity 18,\nan edge from node 9 to node 11 with capacity 12,\nan edge from node 9 to node 6 with capacity 5,\nan edge from node 10 to node 11 with capacity 14,\nan edge from node 11 to node 5 with capacity 4,\nan edge from node 11 to node 9 with capacity 1,\nan edge from node 11 to node 0 with capacity 2,\nan edge from node 11 to node 13 with capacity 20,\nan edge from node 12 to node 4 with capacity 8,\nan edge from node 12 to node 14 with capacity 4,\nan edge from node 12 to node 13 with capacity 4,\nan edge from node 13 to node 11 with capacity 8,\nan edge from node 13 to node 7 with capacity 8,\nan edge from node 14 to node 5 with capacity 2,\nan edge from node 14 to node 3 with capacity 7,\nan edge from node 14 to node 2 with capacity 12,\nWhat is the maximum flow from node 5 to node 2:"
            },
            {
                "from": "gpt",
                "value": "30."
            }
        ]
    },
    {
        "id": "flow-hard-graph981",
        "image": "data/flow/graph_visual/hard/graph981.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 4 with capacity 17,\nan edge from node 0 to node 15 with capacity 8,\nan edge from node 0 to node 16 with capacity 3,\nan edge from node 0 to node 5 with capacity 19,\nan edge from node 1 to node 12 with capacity 1,\nan edge from node 2 to node 4 with capacity 7,\nan edge from node 2 to node 13 with capacity 3,\nan edge from node 2 to node 3 with capacity 14,\nan edge from node 2 to node 7 with capacity 5,\nan edge from node 3 to node 15 with capacity 8,\nan edge from node 3 to node 6 with capacity 3,\nan edge from node 3 to node 5 with capacity 19,\nan edge from node 4 to node 3 with capacity 16,\nan edge from node 4 to node 10 with capacity 18,\nan edge from node 4 to node 6 with capacity 16,\nan edge from node 4 to node 11 with capacity 15,\nan edge from node 4 to node 14 with capacity 20,\nan edge from node 5 to node 1 with capacity 5,\nan edge from node 5 to node 9 with capacity 1,\nan edge from node 5 to node 17 with capacity 9,\nan edge from node 5 to node 16 with capacity 4,\nan edge from node 5 to node 18 with capacity 13,\nan edge from node 5 to node 14 with capacity 9,\nan edge from node 6 to node 4 with capacity 7,\nan edge from node 6 to node 1 with capacity 10,\nan edge from node 6 to node 3 with capacity 6,\nan edge from node 6 to node 8 with capacity 10,\nan edge from node 6 to node 11 with capacity 12,\nan edge from node 6 to node 7 with capacity 12,\nan edge from node 6 to node 5 with capacity 7,\nan edge from node 7 to node 0 with capacity 19,\nan edge from node 8 to node 3 with capacity 16,\nan edge from node 8 to node 12 with capacity 17,\nan edge from node 8 to node 9 with capacity 1,\nan edge from node 8 to node 17 with capacity 8,\nan edge from node 9 to node 13 with capacity 16,\nan edge from node 9 to node 12 with capacity 5,\nan edge from node 9 to node 8 with capacity 1,\nan edge from node 9 to node 16 with capacity 7,\nan edge from node 10 to node 3 with capacity 9,\nan edge from node 10 to node 9 with capacity 7,\nan edge from node 10 to node 15 with capacity 4,\nan edge from node 10 to node 7 with capacity 18,\nan edge from node 10 to node 5 with capacity 11,\nan edge from node 11 to node 4 with capacity 14,\nan edge from node 11 to node 13 with capacity 3,\nan edge from node 11 to node 3 with capacity 20,\nan edge from node 11 to node 10 with capacity 17,\nan edge from node 11 to node 15 with capacity 17,\nan edge from node 12 to node 10 with capacity 20,\nan edge from node 12 to node 8 with capacity 14,\nan edge from node 12 to node 16 with capacity 6,\nan edge from node 12 to node 2 with capacity 11,\nan edge from node 12 to node 18 with capacity 3,\nan edge from node 12 to node 14 with capacity 11,\nan edge from node 13 to node 3 with capacity 20,\nan edge from node 13 to node 17 with capacity 15,\nan edge from node 13 to node 6 with capacity 10,\nan edge from node 14 to node 1 with capacity 3,\nan edge from node 14 to node 10 with capacity 8,\nan edge from node 14 to node 16 with capacity 15,\nan edge from node 14 to node 7 with capacity 16,\nan edge from node 14 to node 2 with capacity 13,\nan edge from node 15 to node 4 with capacity 7,\nan edge from node 15 to node 13 with capacity 7,\nan edge from node 15 to node 9 with capacity 20,\nan edge from node 15 to node 16 with capacity 13,\nan edge from node 15 to node 18 with capacity 19,\nan edge from node 15 to node 14 with capacity 14,\nan edge from node 16 to node 3 with capacity 15,\nan edge from node 16 to node 6 with capacity 6,\nan edge from node 16 to node 11 with capacity 8,\nan edge from node 16 to node 7 with capacity 6,\nan edge from node 17 to node 3 with capacity 4,\nan edge from node 17 to node 10 with capacity 17,\nan edge from node 17 to node 15 with capacity 2,\nan edge from node 17 to node 6 with capacity 3,\nan edge from node 17 to node 7 with capacity 17,\nan edge from node 18 to node 4 with capacity 18,\nan edge from node 18 to node 3 with capacity 14,\nan edge from node 18 to node 10 with capacity 15,\nan edge from node 18 to node 6 with capacity 3,\nan edge from node 18 to node 0 with capacity 4,\nan edge from node 18 to node 7 with capacity 8,\nan edge from node 18 to node 5 with capacity 2,\nWhat is the maximum flow from node 4 to node 9:"
            },
            {
                "from": "gpt",
                "value": "29."
            }
        ]
    },
    {
        "id": "flow-hard-graph473",
        "image": "data/flow/graph_visual/hard/graph473.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 1 to node 9 with capacity 19,\nan edge from node 1 to node 5 with capacity 3,\nan edge from node 1 to node 8 with capacity 8,\nan edge from node 1 to node 6 with capacity 15,\nan edge from node 1 to node 7 with capacity 16,\nan edge from node 2 to node 12 with capacity 19,\nan edge from node 2 to node 4 with capacity 7,\nan edge from node 2 to node 3 with capacity 3,\nan edge from node 2 to node 7 with capacity 12,\nan edge from node 3 to node 12 with capacity 10,\nan edge from node 4 to node 10 with capacity 7,\nan edge from node 4 to node 6 with capacity 4,\nan edge from node 4 to node 7 with capacity 19,\nan edge from node 5 to node 9 with capacity 3,\nan edge from node 5 to node 12 with capacity 1,\nan edge from node 5 to node 8 with capacity 17,\nan edge from node 5 to node 10 with capacity 3,\nan edge from node 5 to node 1 with capacity 3,\nan edge from node 5 to node 6 with capacity 16,\nan edge from node 5 to node 11 with capacity 2,\nan edge from node 5 to node 0 with capacity 20,\nan edge from node 6 to node 2 with capacity 10,\nan edge from node 6 to node 1 with capacity 15,\nan edge from node 6 to node 11 with capacity 20,\nan edge from node 7 to node 2 with capacity 7,\nan edge from node 7 to node 3 with capacity 14,\nan edge from node 8 to node 13 with capacity 12,\nan edge from node 8 to node 4 with capacity 4,\nan edge from node 8 to node 6 with capacity 18,\nan edge from node 9 to node 3 with capacity 1,\nan edge from node 10 to node 12 with capacity 9,\nan edge from node 10 to node 13 with capacity 17,\nan edge from node 10 to node 4 with capacity 3,\nan edge from node 10 to node 1 with capacity 17,\nan edge from node 10 to node 0 with capacity 12,\nan edge from node 11 to node 12 with capacity 16,\nan edge from node 12 to node 5 with capacity 4,\nan edge from node 12 to node 10 with capacity 15,\nan edge from node 12 to node 6 with capacity 10,\nan edge from node 12 to node 3 with capacity 1,\nan edge from node 12 to node 0 with capacity 18,\nan edge from node 12 to node 7 with capacity 11,\nan edge from node 13 to node 12 with capacity 11,\nan edge from node 13 to node 4 with capacity 17,\nan edge from node 13 to node 8 with capacity 7,\nan edge from node 13 to node 10 with capacity 19,\nan edge from node 13 to node 0 with capacity 10,\nWhat is the maximum flow from node 13 to node 0:"
            },
            {
                "from": "gpt",
                "value": "47."
            }
        ]
    },
    {
        "id": "flow-hard-graph774",
        "image": "data/flow/graph_visual/hard/graph774.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 1 to node 3 with capacity 14,\nan edge from node 1 to node 0 with capacity 8,\nan edge from node 1 to node 8 with capacity 20,\nan edge from node 1 to node 14 with capacity 11,\nan edge from node 1 to node 15 with capacity 17,\nan edge from node 1 to node 7 with capacity 8,\nan edge from node 1 to node 11 with capacity 2,\nan edge from node 1 to node 4 with capacity 12,\nan edge from node 2 to node 13 with capacity 11,\nan edge from node 2 to node 5 with capacity 7,\nan edge from node 2 to node 15 with capacity 19,\nan edge from node 2 to node 7 with capacity 3,\nan edge from node 3 to node 1 with capacity 15,\nan edge from node 3 to node 12 with capacity 9,\nan edge from node 3 to node 8 with capacity 3,\nan edge from node 3 to node 7 with capacity 7,\nan edge from node 3 to node 4 with capacity 1,\nan edge from node 4 to node 2 with capacity 3,\nan edge from node 4 to node 9 with capacity 1,\nan edge from node 4 to node 15 with capacity 10,\nan edge from node 4 to node 16 with capacity 9,\nan edge from node 5 to node 10 with capacity 3,\nan edge from node 5 to node 12 with capacity 5,\nan edge from node 5 to node 3 with capacity 3,\nan edge from node 5 to node 15 with capacity 16,\nan edge from node 6 to node 1 with capacity 8,\nan edge from node 6 to node 2 with capacity 12,\nan edge from node 6 to node 0 with capacity 12,\nan edge from node 6 to node 8 with capacity 4,\nan edge from node 6 to node 9 with capacity 7,\nan edge from node 6 to node 7 with capacity 10,\nan edge from node 6 to node 16 with capacity 4,\nan edge from node 7 to node 15 with capacity 19,\nan edge from node 7 to node 11 with capacity 12,\nan edge from node 7 to node 16 with capacity 17,\nan edge from node 8 to node 12 with capacity 2,\nan edge from node 8 to node 0 with capacity 9,\nan edge from node 8 to node 9 with capacity 4,\nan edge from node 8 to node 14 with capacity 7,\nan edge from node 8 to node 15 with capacity 17,\nan edge from node 8 to node 16 with capacity 9,\nan edge from node 9 to node 3 with capacity 6,\nan edge from node 9 to node 6 with capacity 5,\nan edge from node 9 to node 5 with capacity 4,\nan edge from node 9 to node 16 with capacity 20,\nan edge from node 10 to node 2 with capacity 17,\nan edge from node 10 to node 3 with capacity 20,\nan edge from node 10 to node 14 with capacity 3,\nan edge from node 10 to node 4 with capacity 19,\nan edge from node 10 to node 16 with capacity 11,\nan edge from node 11 to node 9 with capacity 17,\nan edge from node 11 to node 14 with capacity 5,\nan edge from node 11 to node 15 with capacity 7,\nan edge from node 11 to node 16 with capacity 15,\nan edge from node 12 to node 2 with capacity 15,\nan edge from node 12 to node 10 with capacity 7,\nan edge from node 12 to node 8 with capacity 1,\nan edge from node 12 to node 9 with capacity 15,\nan edge from node 12 to node 5 with capacity 16,\nan edge from node 12 to node 14 with capacity 4,\nan edge from node 12 to node 16 with capacity 8,\nan edge from node 13 to node 1 with capacity 12,\nan edge from node 13 to node 14 with capacity 18,\nan edge from node 14 to node 2 with capacity 6,\nan edge from node 14 to node 13 with capacity 8,\nan edge from node 14 to node 5 with capacity 8,\nan edge from node 14 to node 7 with capacity 12,\nan edge from node 14 to node 16 with capacity 3,\nan edge from node 15 to node 14 with capacity 11,\nan edge from node 15 to node 7 with capacity 17,\nan edge from node 15 to node 11 with capacity 8,\nan edge from node 16 to node 2 with capacity 11,\nan edge from node 16 to node 4 with capacity 10,\nWhat is the maximum flow from node 14 to node 5:"
            },
            {
                "from": "gpt",
                "value": "30."
            }
        ]
    },
    {
        "id": "flow-hard-graph281",
        "image": "data/flow/graph_visual/hard/graph281.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 6 with capacity 13,\nan edge from node 0 to node 11 with capacity 4,\nan edge from node 0 to node 2 with capacity 17,\nan edge from node 1 to node 3 with capacity 15,\nan edge from node 1 to node 11 with capacity 17,\nan edge from node 1 to node 9 with capacity 5,\nan edge from node 1 to node 12 with capacity 8,\nan edge from node 3 to node 11 with capacity 18,\nan edge from node 3 to node 0 with capacity 18,\nan edge from node 3 to node 2 with capacity 15,\nan edge from node 4 to node 6 with capacity 16,\nan edge from node 4 to node 12 with capacity 4,\nan edge from node 5 to node 4 with capacity 6,\nan edge from node 5 to node 7 with capacity 5,\nan edge from node 5 to node 0 with capacity 17,\nan edge from node 5 to node 10 with capacity 6,\nan edge from node 6 to node 11 with capacity 12,\nan edge from node 6 to node 7 with capacity 11,\nan edge from node 6 to node 10 with capacity 16,\nan edge from node 7 to node 4 with capacity 18,\nan edge from node 7 to node 12 with capacity 16,\nan edge from node 7 to node 10 with capacity 4,\nan edge from node 8 to node 6 with capacity 17,\nan edge from node 8 to node 3 with capacity 19,\nan edge from node 8 to node 10 with capacity 10,\nan edge from node 9 to node 3 with capacity 12,\nan edge from node 9 to node 7 with capacity 19,\nan edge from node 9 to node 10 with capacity 8,\nan edge from node 9 to node 8 with capacity 20,\nan edge from node 10 to node 11 with capacity 14,\nan edge from node 10 to node 9 with capacity 19,\nan edge from node 10 to node 8 with capacity 15,\nan edge from node 11 to node 2 with capacity 10,\nan edge from node 12 to node 3 with capacity 3,\nan edge from node 12 to node 11 with capacity 4,\nan edge from node 12 to node 4 with capacity 5,\nan edge from node 12 to node 1 with capacity 5,\nan edge from node 12 to node 10 with capacity 5,\nan edge from node 12 to node 5 with capacity 10,\nWhat is the maximum flow from node 10 to node 5:"
            },
            {
                "from": "gpt",
                "value": "10."
            }
        ]
    },
    {
        "id": "flow-hard-graph47",
        "image": "data/flow/graph_visual/hard/graph47.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 2 with capacity 2,\nan edge from node 0 to node 1 with capacity 11,\nan edge from node 0 to node 7 with capacity 14,\nan edge from node 1 to node 5 with capacity 19,\nan edge from node 1 to node 8 with capacity 14,\nan edge from node 2 to node 6 with capacity 1,\nan edge from node 2 to node 0 with capacity 5,\nan edge from node 2 to node 9 with capacity 2,\nan edge from node 3 to node 10 with capacity 16,\nan edge from node 3 to node 5 with capacity 6,\nan edge from node 3 to node 9 with capacity 14,\nan edge from node 4 to node 2 with capacity 17,\nan edge from node 4 to node 0 with capacity 16,\nan edge from node 4 to node 7 with capacity 6,\nan edge from node 5 to node 6 with capacity 6,\nan edge from node 5 to node 1 with capacity 12,\nan edge from node 6 to node 1 with capacity 10,\nan edge from node 6 to node 0 with capacity 4,\nan edge from node 7 to node 3 with capacity 13,\nan edge from node 8 to node 6 with capacity 12,\nan edge from node 8 to node 3 with capacity 5,\nan edge from node 8 to node 7 with capacity 6,\nan edge from node 9 to node 1 with capacity 4,\nan edge from node 10 to node 2 with capacity 18,\nan edge from node 10 to node 4 with capacity 4,\nWhat is the maximum flow from node 10 to node 0:"
            },
            {
                "from": "gpt",
                "value": "12."
            }
        ]
    },
    {
        "id": "flow-hard-graph412",
        "image": "data/flow/graph_visual/hard/graph412.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 8 with capacity 11,\nan edge from node 1 to node 7 with capacity 19,\nan edge from node 1 to node 10 with capacity 12,\nan edge from node 1 to node 3 with capacity 16,\nan edge from node 2 to node 4 with capacity 12,\nan edge from node 2 to node 7 with capacity 8,\nan edge from node 2 to node 13 with capacity 10,\nan edge from node 2 to node 3 with capacity 6,\nan edge from node 2 to node 11 with capacity 13,\nan edge from node 2 to node 6 with capacity 10,\nan edge from node 3 to node 11 with capacity 5,\nan edge from node 4 to node 12 with capacity 10,\nan edge from node 4 to node 5 with capacity 4,\nan edge from node 4 to node 7 with capacity 6,\nan edge from node 4 to node 9 with capacity 17,\nan edge from node 4 to node 10 with capacity 2,\nan edge from node 4 to node 0 with capacity 2,\nan edge from node 5 to node 9 with capacity 1,\nan edge from node 5 to node 3 with capacity 16,\nan edge from node 6 to node 5 with capacity 12,\nan edge from node 6 to node 11 with capacity 12,\nan edge from node 7 to node 2 with capacity 17,\nan edge from node 7 to node 12 with capacity 9,\nan edge from node 7 to node 5 with capacity 5,\nan edge from node 7 to node 11 with capacity 7,\nan edge from node 7 to node 6 with capacity 10,\nan edge from node 8 to node 5 with capacity 17,\nan edge from node 9 to node 13 with capacity 19,\nan edge from node 9 to node 0 with capacity 20,\nan edge from node 10 to node 2 with capacity 20,\nan edge from node 10 to node 13 with capacity 20,\nan edge from node 10 to node 0 with capacity 6,\nan edge from node 11 to node 4 with capacity 6,\nan edge from node 11 to node 13 with capacity 17,\nan edge from node 12 to node 2 with capacity 20,\nan edge from node 12 to node 13 with capacity 14,\nan edge from node 13 to node 5 with capacity 9,\nan edge from node 13 to node 7 with capacity 5,\nan edge from node 13 to node 9 with capacity 7,\nan edge from node 13 to node 8 with capacity 8,\nan edge from node 13 to node 11 with capacity 12,\nWhat is the maximum flow from node 10 to node 3:"
            },
            {
                "from": "gpt",
                "value": "22."
            }
        ]
    },
    {
        "id": "flow-hard-graph1074",
        "image": "data/flow/graph_visual/hard/graph1074.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 12 with capacity 12,\nan edge from node 0 to node 16 with capacity 11,\nan edge from node 1 to node 14 with capacity 4,\nan edge from node 1 to node 17 with capacity 20,\nan edge from node 1 to node 7 with capacity 8,\nan edge from node 1 to node 0 with capacity 11,\nan edge from node 2 to node 12 with capacity 4,\nan edge from node 2 to node 14 with capacity 14,\nan edge from node 2 to node 17 with capacity 2,\nan edge from node 2 to node 3 with capacity 12,\nan edge from node 2 to node 10 with capacity 3,\nan edge from node 2 to node 15 with capacity 6,\nan edge from node 3 to node 1 with capacity 10,\nan edge from node 3 to node 18 with capacity 10,\nan edge from node 4 to node 17 with capacity 16,\nan edge from node 4 to node 6 with capacity 14,\nan edge from node 4 to node 0 with capacity 15,\nan edge from node 4 to node 16 with capacity 2,\nan edge from node 4 to node 11 with capacity 15,\nan edge from node 5 to node 1 with capacity 2,\nan edge from node 5 to node 3 with capacity 7,\nan edge from node 5 to node 2 with capacity 11,\nan edge from node 5 to node 6 with capacity 20,\nan edge from node 5 to node 9 with capacity 11,\nan edge from node 6 to node 1 with capacity 10,\nan edge from node 6 to node 14 with capacity 14,\nan edge from node 6 to node 7 with capacity 4,\nan edge from node 6 to node 16 with capacity 12,\nan edge from node 7 to node 14 with capacity 8,\nan edge from node 7 to node 17 with capacity 5,\nan edge from node 7 to node 5 with capacity 1,\nan edge from node 7 to node 8 with capacity 5,\nan edge from node 7 to node 11 with capacity 19,\nan edge from node 8 to node 12 with capacity 18,\nan edge from node 8 to node 14 with capacity 17,\nan edge from node 8 to node 3 with capacity 1,\nan edge from node 8 to node 4 with capacity 11,\nan edge from node 8 to node 2 with capacity 15,\nan edge from node 8 to node 0 with capacity 9,\nan edge from node 8 to node 16 with capacity 4,\nan edge from node 8 to node 15 with capacity 20,\nan edge from node 8 to node 11 with capacity 10,\nan edge from node 9 to node 18 with capacity 12,\nan edge from node 9 to node 8 with capacity 17,\nan edge from node 9 to node 2 with capacity 2,\nan edge from node 9 to node 6 with capacity 3,\nan edge from node 9 to node 11 with capacity 9,\nan edge from node 10 to node 17 with capacity 7,\nan edge from node 10 to node 3 with capacity 2,\nan edge from node 10 to node 9 with capacity 4,\nan edge from node 10 to node 15 with capacity 19,\nan edge from node 11 to node 17 with capacity 8,\nan edge from node 11 to node 4 with capacity 7,\nan edge from node 11 to node 5 with capacity 6,\nan edge from node 11 to node 10 with capacity 10,\nan edge from node 12 to node 18 with capacity 17,\nan edge from node 12 to node 3 with capacity 17,\nan edge from node 12 to node 0 with capacity 5,\nan edge from node 12 to node 16 with capacity 20,\nan edge from node 12 to node 15 with capacity 2,\nan edge from node 12 to node 11 with capacity 7,\nan edge from node 13 to node 12 with capacity 6,\nan edge from node 13 to node 14 with capacity 13,\nan edge from node 13 to node 3 with capacity 14,\nan edge from node 13 to node 8 with capacity 4,\nan edge from node 13 to node 2 with capacity 8,\nan edge from node 13 to node 15 with capacity 15,\nan edge from node 14 to node 4 with capacity 4,\nan edge from node 14 to node 2 with capacity 13,\nan edge from node 14 to node 7 with capacity 19,\nan edge from node 14 to node 0 with capacity 8,\nan edge from node 14 to node 11 with capacity 4,\nan edge from node 15 to node 9 with capacity 8,\nan edge from node 16 to node 1 with capacity 11,\nan edge from node 16 to node 14 with capacity 1,\nan edge from node 16 to node 17 with capacity 20,\nan edge from node 16 to node 18 with capacity 11,\nan edge from node 16 to node 3 with capacity 14,\nan edge from node 16 to node 7 with capacity 20,\nan edge from node 16 to node 15 with capacity 11,\nan edge from node 16 to node 11 with capacity 8,\nan edge from node 17 to node 1 with capacity 16,\nan edge from node 17 to node 12 with capacity 15,\nan edge from node 17 to node 18 with capacity 1,\nan edge from node 17 to node 4 with capacity 5,\nan edge from node 17 to node 6 with capacity 4,\nan edge from node 17 to node 0 with capacity 18,\nan edge from node 17 to node 10 with capacity 10,\nan edge from node 17 to node 9 with capacity 13,\nan edge from node 18 to node 12 with capacity 14,\nan edge from node 18 to node 17 with capacity 10,\nan edge from node 18 to node 2 with capacity 9,\nan edge from node 18 to node 0 with capacity 3,\nan edge from node 18 to node 16 with capacity 10,\nan edge from node 18 to node 9 with capacity 19,\nWhat is the maximum flow from node 3 to node 10:"
            },
            {
                "from": "gpt",
                "value": "20."
            }
        ]
    },
    {
        "id": "flow-hard-graph365",
        "image": "data/flow/graph_visual/hard/graph365.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 10 with capacity 14,\nan edge from node 0 to node 8 with capacity 13,\nan edge from node 1 to node 0 with capacity 1,\nan edge from node 1 to node 7 with capacity 2,\nan edge from node 3 to node 11 with capacity 18,\nan edge from node 3 to node 5 with capacity 16,\nan edge from node 3 to node 10 with capacity 15,\nan edge from node 3 to node 9 with capacity 15,\nan edge from node 3 to node 8 with capacity 5,\nan edge from node 4 to node 1 with capacity 7,\nan edge from node 4 to node 9 with capacity 15,\nan edge from node 4 to node 7 with capacity 8,\nan edge from node 5 to node 0 with capacity 9,\nan edge from node 5 to node 1 with capacity 4,\nan edge from node 5 to node 10 with capacity 8,\nan edge from node 6 to node 0 with capacity 17,\nan edge from node 6 to node 12 with capacity 17,\nan edge from node 6 to node 4 with capacity 7,\nan edge from node 6 to node 10 with capacity 9,\nan edge from node 6 to node 9 with capacity 1,\nan edge from node 6 to node 8 with capacity 17,\nan edge from node 7 to node 12 with capacity 12,\nan edge from node 7 to node 8 with capacity 18,\nan edge from node 8 to node 5 with capacity 11,\nan edge from node 8 to node 6 with capacity 1,\nan edge from node 8 to node 1 with capacity 6,\nan edge from node 8 to node 4 with capacity 4,\nan edge from node 8 to node 13 with capacity 9,\nan edge from node 9 to node 6 with capacity 11,\nan edge from node 9 to node 12 with capacity 1,\nan edge from node 9 to node 8 with capacity 17,\nan edge from node 10 to node 11 with capacity 17,\nan edge from node 10 to node 3 with capacity 8,\nan edge from node 10 to node 9 with capacity 19,\nan edge from node 11 to node 4 with capacity 1,\nan edge from node 11 to node 10 with capacity 19,\nan edge from node 11 to node 2 with capacity 8,\nan edge from node 12 to node 11 with capacity 14,\nan edge from node 12 to node 10 with capacity 16,\nan edge from node 12 to node 9 with capacity 17,\nan edge from node 12 to node 7 with capacity 17,\nan edge from node 12 to node 13 with capacity 19,\nan edge from node 12 to node 8 with capacity 7,\nan edge from node 13 to node 0 with capacity 15,\nan edge from node 13 to node 5 with capacity 11,\nan edge from node 13 to node 10 with capacity 7,\nan edge from node 13 to node 2 with capacity 1,\nan edge from node 13 to node 8 with capacity 11,\nWhat is the maximum flow from node 6 to node 4:"
            },
            {
                "from": "gpt",
                "value": "12."
            }
        ]
    },
    {
        "id": "flow-hard-graph160",
        "image": "data/flow/graph_visual/hard/graph160.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 4 with capacity 11,\nan edge from node 0 to node 11 with capacity 15,\nan edge from node 1 to node 2 with capacity 6,\nan edge from node 1 to node 3 with capacity 20,\nan edge from node 2 to node 11 with capacity 18,\nan edge from node 2 to node 8 with capacity 13,\nan edge from node 3 to node 9 with capacity 8,\nan edge from node 3 to node 11 with capacity 4,\nan edge from node 3 to node 8 with capacity 15,\nan edge from node 4 to node 2 with capacity 15,\nan edge from node 4 to node 10 with capacity 10,\nan edge from node 4 to node 11 with capacity 16,\nan edge from node 4 to node 0 with capacity 19,\nan edge from node 4 to node 5 with capacity 10,\nan edge from node 5 to node 7 with capacity 16,\nan edge from node 5 to node 9 with capacity 7,\nan edge from node 5 to node 6 with capacity 9,\nan edge from node 5 to node 11 with capacity 11,\nan edge from node 6 to node 2 with capacity 13,\nan edge from node 7 to node 9 with capacity 13,\nan edge from node 7 to node 2 with capacity 15,\nan edge from node 7 to node 6 with capacity 12,\nan edge from node 7 to node 11 with capacity 18,\nan edge from node 7 to node 8 with capacity 15,\nan edge from node 8 to node 10 with capacity 16,\nan edge from node 8 to node 4 with capacity 5,\nan edge from node 9 to node 3 with capacity 2,\nan edge from node 9 to node 4 with capacity 11,\nan edge from node 10 to node 2 with capacity 10,\nan edge from node 10 to node 11 with capacity 18,\nan edge from node 10 to node 5 with capacity 7,\nWhat is the maximum flow from node 10 to node 6:"
            },
            {
                "from": "gpt",
                "value": "12."
            }
        ]
    },
    {
        "id": "flow-hard-graph79",
        "image": "data/flow/graph_visual/hard/graph79.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 10 with capacity 6,\nan edge from node 1 to node 2 with capacity 11,\nan edge from node 2 to node 7 with capacity 17,\nan edge from node 3 to node 9 with capacity 5,\nan edge from node 3 to node 1 with capacity 6,\nan edge from node 3 to node 10 with capacity 15,\nan edge from node 3 to node 6 with capacity 20,\nan edge from node 3 to node 7 with capacity 1,\nan edge from node 4 to node 9 with capacity 4,\nan edge from node 5 to node 0 with capacity 15,\nan edge from node 6 to node 9 with capacity 9,\nan edge from node 6 to node 10 with capacity 7,\nan edge from node 6 to node 4 with capacity 8,\nan edge from node 6 to node 2 with capacity 10,\nan edge from node 7 to node 3 with capacity 4,\nan edge from node 7 to node 0 with capacity 7,\nan edge from node 8 to node 10 with capacity 17,\nan edge from node 9 to node 5 with capacity 4,\nan edge from node 9 to node 6 with capacity 20,\nWhat is the maximum flow from node 6 to node 5:"
            },
            {
                "from": "gpt",
                "value": "4."
            }
        ]
    },
    {
        "id": "flow-hard-graph979",
        "image": "data/flow/graph_visual/hard/graph979.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 3 with capacity 5,\nan edge from node 0 to node 18 with capacity 9,\nan edge from node 0 to node 6 with capacity 1,\nan edge from node 1 to node 3 with capacity 3,\nan edge from node 1 to node 11 with capacity 13,\nan edge from node 1 to node 6 with capacity 7,\nan edge from node 2 to node 10 with capacity 5,\nan edge from node 2 to node 18 with capacity 1,\nan edge from node 3 to node 16 with capacity 11,\nan edge from node 3 to node 17 with capacity 4,\nan edge from node 3 to node 14 with capacity 4,\nan edge from node 3 to node 10 with capacity 12,\nan edge from node 3 to node 11 with capacity 7,\nan edge from node 3 to node 7 with capacity 4,\nan edge from node 3 to node 15 with capacity 12,\nan edge from node 4 to node 16 with capacity 8,\nan edge from node 4 to node 2 with capacity 10,\nan edge from node 4 to node 3 with capacity 5,\nan edge from node 4 to node 9 with capacity 2,\nan edge from node 5 to node 13 with capacity 10,\nan edge from node 5 to node 4 with capacity 20,\nan edge from node 6 to node 17 with capacity 15,\nan edge from node 6 to node 14 with capacity 14,\nan edge from node 6 to node 10 with capacity 8,\nan edge from node 6 to node 3 with capacity 14,\nan edge from node 6 to node 9 with capacity 4,\nan edge from node 6 to node 11 with capacity 5,\nan edge from node 6 to node 7 with capacity 9,\nan edge from node 6 to node 15 with capacity 8,\nan edge from node 7 to node 14 with capacity 1,\nan edge from node 7 to node 10 with capacity 14,\nan edge from node 7 to node 4 with capacity 7,\nan edge from node 7 to node 12 with capacity 17,\nan edge from node 8 to node 14 with capacity 10,\nan edge from node 8 to node 18 with capacity 7,\nan edge from node 8 to node 11 with capacity 5,\nan edge from node 8 to node 7 with capacity 3,\nan edge from node 8 to node 6 with capacity 8,\nan edge from node 9 to node 5 with capacity 16,\nan edge from node 9 to node 14 with capacity 14,\nan edge from node 9 to node 1 with capacity 14,\nan edge from node 10 to node 3 with capacity 2,\nan edge from node 10 to node 4 with capacity 14,\nan edge from node 10 to node 1 with capacity 15,\nan edge from node 10 to node 6 with capacity 18,\nan edge from node 11 to node 16 with capacity 10,\nan edge from node 11 to node 10 with capacity 9,\nan edge from node 11 to node 1 with capacity 17,\nan edge from node 11 to node 7 with capacity 8,\nan edge from node 11 to node 6 with capacity 4,\nan edge from node 12 to node 0 with capacity 14,\nan edge from node 12 to node 13 with capacity 17,\nan edge from node 12 to node 5 with capacity 4,\nan edge from node 12 to node 14 with capacity 16,\nan edge from node 12 to node 10 with capacity 10,\nan edge from node 12 to node 3 with capacity 17,\nan edge from node 12 to node 15 with capacity 8,\nan edge from node 13 to node 0 with capacity 19,\nan edge from node 13 to node 3 with capacity 5,\nan edge from node 13 to node 18 with capacity 4,\nan edge from node 13 to node 12 with capacity 1,\nan edge from node 14 to node 16 with capacity 11,\nan edge from node 14 to node 5 with capacity 11,\nan edge from node 14 to node 10 with capacity 18,\nan edge from node 14 to node 11 with capacity 17,\nan edge from node 14 to node 15 with capacity 9,\nan edge from node 15 to node 5 with capacity 7,\nan edge from node 15 to node 3 with capacity 10,\nan edge from node 15 to node 9 with capacity 3,\nan edge from node 16 to node 10 with capacity 3,\nan edge from node 16 to node 9 with capacity 17,\nan edge from node 16 to node 8 with capacity 7,\nan edge from node 16 to node 6 with capacity 2,\nan edge from node 16 to node 15 with capacity 3,\nan edge from node 17 to node 5 with capacity 9,\nan edge from node 17 to node 14 with capacity 5,\nan edge from node 17 to node 12 with capacity 18,\nan edge from node 18 to node 16 with capacity 3,\nan edge from node 18 to node 17 with capacity 3,\nan edge from node 18 to node 6 with capacity 6,\nWhat is the maximum flow from node 14 to node 15:"
            },
            {
                "from": "gpt",
                "value": "40."
            }
        ]
    },
    {
        "id": "flow-hard-graph936",
        "image": "data/flow/graph_visual/hard/graph936.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 1 with capacity 18,\nan edge from node 0 to node 4 with capacity 5,\nan edge from node 0 to node 11 with capacity 2,\nan edge from node 0 to node 2 with capacity 2,\nan edge from node 0 to node 9 with capacity 7,\nan edge from node 0 to node 10 with capacity 12,\nan edge from node 0 to node 13 with capacity 2,\nan edge from node 0 to node 3 with capacity 13,\nan edge from node 1 to node 15 with capacity 8,\nan edge from node 1 to node 6 with capacity 20,\nan edge from node 1 to node 5 with capacity 5,\nan edge from node 1 to node 17 with capacity 2,\nan edge from node 1 to node 10 with capacity 9,\nan edge from node 2 to node 4 with capacity 11,\nan edge from node 2 to node 13 with capacity 7,\nan edge from node 3 to node 16 with capacity 6,\nan edge from node 3 to node 2 with capacity 3,\nan edge from node 4 to node 16 with capacity 11,\nan edge from node 4 to node 7 with capacity 12,\nan edge from node 4 to node 2 with capacity 1,\nan edge from node 4 to node 0 with capacity 3,\nan edge from node 4 to node 12 with capacity 8,\nan edge from node 4 to node 9 with capacity 10,\nan edge from node 4 to node 10 with capacity 19,\nan edge from node 4 to node 13 with capacity 13,\nan edge from node 5 to node 2 with capacity 7,\nan edge from node 5 to node 3 with capacity 11,\nan edge from node 6 to node 1 with capacity 4,\nan edge from node 6 to node 15 with capacity 13,\nan edge from node 6 to node 8 with capacity 16,\nan edge from node 7 to node 16 with capacity 17,\nan edge from node 7 to node 2 with capacity 17,\nan edge from node 7 to node 0 with capacity 1,\nan edge from node 7 to node 8 with capacity 13,\nan edge from node 8 to node 4 with capacity 2,\nan edge from node 8 to node 11 with capacity 19,\nan edge from node 8 to node 2 with capacity 2,\nan edge from node 8 to node 14 with capacity 20,\nan edge from node 8 to node 13 with capacity 5,\nan edge from node 9 to node 0 with capacity 11,\nan edge from node 9 to node 12 with capacity 17,\nan edge from node 9 to node 13 with capacity 3,\nan edge from node 9 to node 3 with capacity 11,\nan edge from node 10 to node 2 with capacity 3,\nan edge from node 10 to node 14 with capacity 4,\nan edge from node 10 to node 6 with capacity 6,\nan edge from node 10 to node 5 with capacity 2,\nan edge from node 10 to node 13 with capacity 5,\nan edge from node 11 to node 2 with capacity 1,\nan edge from node 11 to node 14 with capacity 13,\nan edge from node 11 to node 17 with capacity 17,\nan edge from node 12 to node 16 with capacity 14,\nan edge from node 12 to node 17 with capacity 16,\nan edge from node 12 to node 10 with capacity 2,\nan edge from node 13 to node 4 with capacity 20,\nan edge from node 13 to node 11 with capacity 6,\nan edge from node 13 to node 2 with capacity 15,\nan edge from node 13 to node 15 with capacity 9,\nan edge from node 13 to node 6 with capacity 11,\nan edge from node 13 to node 9 with capacity 10,\nan edge from node 13 to node 5 with capacity 16,\nan edge from node 13 to node 17 with capacity 4,\nan edge from node 13 to node 3 with capacity 20,\nan edge from node 13 to node 8 with capacity 2,\nan edge from node 14 to node 5 with capacity 19,\nan edge from node 15 to node 6 with capacity 10,\nan edge from node 15 to node 5 with capacity 18,\nan edge from node 16 to node 5 with capacity 1,\nan edge from node 17 to node 1 with capacity 19,\nan edge from node 17 to node 4 with capacity 17,\nan edge from node 17 to node 11 with capacity 7,\nan edge from node 17 to node 7 with capacity 7,\nan edge from node 17 to node 14 with capacity 2,\nWhat is the maximum flow from node 8 to node 7:"
            },
            {
                "from": "gpt",
                "value": "19."
            }
        ]
    },
    {
        "id": "flow-hard-graph121",
        "image": "data/flow/graph_visual/hard/graph121.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 4 with capacity 1,\nan edge from node 0 to node 10 with capacity 17,\nan edge from node 0 to node 8 with capacity 19,\nan edge from node 2 to node 6 with capacity 1,\nan edge from node 2 to node 5 with capacity 14,\nan edge from node 3 to node 7 with capacity 5,\nan edge from node 3 to node 6 with capacity 3,\nan edge from node 3 to node 8 with capacity 19,\nan edge from node 3 to node 11 with capacity 12,\nan edge from node 3 to node 2 with capacity 13,\nan edge from node 3 to node 5 with capacity 13,\nan edge from node 4 to node 1 with capacity 1,\nan edge from node 4 to node 0 with capacity 11,\nan edge from node 5 to node 10 with capacity 6,\nan edge from node 5 to node 3 with capacity 3,\nan edge from node 6 to node 4 with capacity 5,\nan edge from node 6 to node 1 with capacity 12,\nan edge from node 6 to node 5 with capacity 2,\nan edge from node 7 to node 6 with capacity 1,\nan edge from node 8 to node 1 with capacity 8,\nan edge from node 9 to node 7 with capacity 6,\nan edge from node 9 to node 3 with capacity 15,\nan edge from node 9 to node 0 with capacity 2,\nan edge from node 10 to node 4 with capacity 6,\nan edge from node 10 to node 1 with capacity 2,\nan edge from node 11 to node 7 with capacity 7,\nan edge from node 11 to node 6 with capacity 18,\nWhat is the maximum flow from node 2 to node 6:"
            },
            {
                "from": "gpt",
                "value": "4."
            }
        ]
    },
    {
        "id": "flow-hard-graph652",
        "image": "data/flow/graph_visual/hard/graph652.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 1 with capacity 14,\nan edge from node 0 to node 8 with capacity 6,\nan edge from node 0 to node 10 with capacity 10,\nan edge from node 1 to node 0 with capacity 5,\nan edge from node 1 to node 7 with capacity 10,\nan edge from node 1 to node 15 with capacity 15,\nan edge from node 1 to node 11 with capacity 15,\nan edge from node 1 to node 3 with capacity 18,\nan edge from node 2 to node 14 with capacity 17,\nan edge from node 2 to node 9 with capacity 3,\nan edge from node 2 to node 3 with capacity 10,\nan edge from node 2 to node 10 with capacity 14,\nan edge from node 3 to node 12 with capacity 11,\nan edge from node 3 to node 8 with capacity 11,\nan edge from node 3 to node 4 with capacity 5,\nan edge from node 4 to node 13 with capacity 11,\nan edge from node 4 to node 2 with capacity 12,\nan edge from node 4 to node 5 with capacity 18,\nan edge from node 4 to node 7 with capacity 6,\nan edge from node 4 to node 14 with capacity 14,\nan edge from node 5 to node 2 with capacity 18,\nan edge from node 5 to node 1 with capacity 20,\nan edge from node 5 to node 6 with capacity 9,\nan edge from node 6 to node 5 with capacity 5,\nan edge from node 6 to node 1 with capacity 6,\nan edge from node 6 to node 15 with capacity 9,\nan edge from node 6 to node 14 with capacity 19,\nan edge from node 6 to node 4 with capacity 10,\nan edge from node 7 to node 0 with capacity 17,\nan edge from node 7 to node 13 with capacity 19,\nan edge from node 7 to node 3 with capacity 17,\nan edge from node 7 to node 10 with capacity 6,\nan edge from node 8 to node 2 with capacity 16,\nan edge from node 8 to node 5 with capacity 19,\nan edge from node 8 to node 7 with capacity 3,\nan edge from node 8 to node 11 with capacity 5,\nan edge from node 8 to node 4 with capacity 12,\nan edge from node 9 to node 5 with capacity 19,\nan edge from node 9 to node 7 with capacity 18,\nan edge from node 9 to node 12 with capacity 15,\nan edge from node 9 to node 14 with capacity 9,\nan edge from node 9 to node 3 with capacity 13,\nan edge from node 10 to node 13 with capacity 20,\nan edge from node 10 to node 1 with capacity 3,\nan edge from node 10 to node 14 with capacity 7,\nan edge from node 10 to node 9 with capacity 5,\nan edge from node 11 to node 13 with capacity 2,\nan edge from node 11 to node 8 with capacity 9,\nan edge from node 11 to node 10 with capacity 12,\nan edge from node 12 to node 14 with capacity 20,\nan edge from node 12 to node 3 with capacity 9,\nan edge from node 13 to node 12 with capacity 14,\nan edge from node 13 to node 1 with capacity 17,\nan edge from node 13 to node 10 with capacity 6,\nan edge from node 14 to node 0 with capacity 9,\nan edge from node 14 to node 13 with capacity 20,\nan edge from node 14 to node 5 with capacity 8,\nan edge from node 14 to node 15 with capacity 11,\nan edge from node 14 to node 8 with capacity 2,\nan edge from node 14 to node 4 with capacity 20,\nan edge from node 15 to node 13 with capacity 4,\nan edge from node 15 to node 7 with capacity 6,\nan edge from node 15 to node 1 with capacity 14,\nWhat is the maximum flow from node 13 to node 14:"
            },
            {
                "from": "gpt",
                "value": "37."
            }
        ]
    },
    {
        "id": "flow-hard-graph731",
        "image": "data/flow/graph_visual/hard/graph731.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 11 with capacity 10,\nan edge from node 0 to node 5 with capacity 2,\nan edge from node 0 to node 10 with capacity 3,\nan edge from node 0 to node 9 with capacity 11,\nan edge from node 1 to node 4 with capacity 18,\nan edge from node 1 to node 10 with capacity 18,\nan edge from node 1 to node 12 with capacity 5,\nan edge from node 1 to node 9 with capacity 14,\nan edge from node 1 to node 0 with capacity 16,\nan edge from node 2 to node 5 with capacity 18,\nan edge from node 2 to node 10 with capacity 19,\nan edge from node 3 to node 4 with capacity 17,\nan edge from node 3 to node 15 with capacity 14,\nan edge from node 3 to node 13 with capacity 13,\nan edge from node 3 to node 12 with capacity 16,\nan edge from node 3 to node 9 with capacity 2,\nan edge from node 4 to node 11 with capacity 6,\nan edge from node 4 to node 5 with capacity 12,\nan edge from node 4 to node 15 with capacity 19,\nan edge from node 4 to node 10 with capacity 2,\nan edge from node 4 to node 12 with capacity 13,\nan edge from node 4 to node 6 with capacity 3,\nan edge from node 4 to node 0 with capacity 16,\nan edge from node 5 to node 11 with capacity 15,\nan edge from node 5 to node 4 with capacity 2,\nan edge from node 5 to node 13 with capacity 5,\nan edge from node 5 to node 16 with capacity 5,\nan edge from node 6 to node 15 with capacity 16,\nan edge from node 6 to node 14 with capacity 14,\nan edge from node 7 to node 13 with capacity 10,\nan edge from node 8 to node 7 with capacity 13,\nan edge from node 8 to node 3 with capacity 2,\nan edge from node 8 to node 1 with capacity 4,\nan edge from node 9 to node 4 with capacity 18,\nan edge from node 9 to node 10 with capacity 19,\nan edge from node 9 to node 8 with capacity 18,\nan edge from node 10 to node 3 with capacity 10,\nan edge from node 10 to node 4 with capacity 1,\nan edge from node 10 to node 15 with capacity 16,\nan edge from node 10 to node 14 with capacity 6,\nan edge from node 10 to node 12 with capacity 7,\nan edge from node 11 to node 2 with capacity 13,\nan edge from node 11 to node 3 with capacity 1,\nan edge from node 11 to node 15 with capacity 14,\nan edge from node 12 to node 2 with capacity 5,\nan edge from node 12 to node 8 with capacity 7,\nan edge from node 12 to node 6 with capacity 14,\nan edge from node 12 to node 1 with capacity 1,\nan edge from node 13 to node 11 with capacity 15,\nan edge from node 13 to node 2 with capacity 12,\nan edge from node 13 to node 16 with capacity 5,\nan edge from node 13 to node 8 with capacity 10,\nan edge from node 13 to node 6 with capacity 2,\nan edge from node 13 to node 1 with capacity 20,\nan edge from node 14 to node 11 with capacity 10,\nan edge from node 14 to node 2 with capacity 8,\nan edge from node 14 to node 5 with capacity 4,\nan edge from node 14 to node 16 with capacity 20,\nan edge from node 14 to node 12 with capacity 14,\nan edge from node 14 to node 9 with capacity 15,\nan edge from node 14 to node 1 with capacity 17,\nan edge from node 15 to node 5 with capacity 16,\nan edge from node 15 to node 3 with capacity 3,\nan edge from node 15 to node 4 with capacity 4,\nan edge from node 15 to node 13 with capacity 16,\nan edge from node 15 to node 9 with capacity 1,\nan edge from node 16 to node 7 with capacity 12,\nan edge from node 16 to node 11 with capacity 15,\nan edge from node 16 to node 2 with capacity 19,\nan edge from node 16 to node 3 with capacity 3,\nan edge from node 16 to node 15 with capacity 3,\nan edge from node 16 to node 9 with capacity 15,\nWhat is the maximum flow from node 13 to node 6:"
            },
            {
                "from": "gpt",
                "value": "19."
            }
        ]
    },
    {
        "id": "flow-hard-graph1126",
        "image": "data/flow/graph_visual/hard/graph1126.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 16 with capacity 10,\nan edge from node 0 to node 11 with capacity 11,\nan edge from node 0 to node 17 with capacity 15,\nan edge from node 0 to node 3 with capacity 13,\nan edge from node 0 to node 15 with capacity 10,\nan edge from node 1 to node 18 with capacity 18,\nan edge from node 1 to node 11 with capacity 5,\nan edge from node 1 to node 5 with capacity 16,\nan edge from node 1 to node 17 with capacity 16,\nan edge from node 1 to node 3 with capacity 16,\nan edge from node 1 to node 19 with capacity 4,\nan edge from node 1 to node 4 with capacity 8,\nan edge from node 1 to node 8 with capacity 16,\nan edge from node 2 to node 14 with capacity 2,\nan edge from node 2 to node 0 with capacity 15,\nan edge from node 2 to node 19 with capacity 14,\nan edge from node 3 to node 12 with capacity 1,\nan edge from node 3 to node 11 with capacity 17,\nan edge from node 3 to node 8 with capacity 13,\nan edge from node 3 to node 15 with capacity 2,\nan edge from node 4 to node 16 with capacity 1,\nan edge from node 4 to node 11 with capacity 18,\nan edge from node 4 to node 3 with capacity 9,\nan edge from node 4 to node 19 with capacity 16,\nan edge from node 4 to node 8 with capacity 15,\nan edge from node 4 to node 15 with capacity 9,\nan edge from node 5 to node 12 with capacity 12,\nan edge from node 5 to node 2 with capacity 7,\nan edge from node 5 to node 4 with capacity 9,\nan edge from node 6 to node 11 with capacity 2,\nan edge from node 6 to node 13 with capacity 6,\nan edge from node 7 to node 12 with capacity 11,\nan edge from node 7 to node 11 with capacity 15,\nan edge from node 7 to node 13 with capacity 18,\nan edge from node 7 to node 1 with capacity 13,\nan edge from node 7 to node 5 with capacity 19,\nan edge from node 7 to node 17 with capacity 15,\nan edge from node 7 to node 10 with capacity 7,\nan edge from node 7 to node 0 with capacity 15,\nan edge from node 8 to node 16 with capacity 15,\nan edge from node 8 to node 14 with capacity 8,\nan edge from node 8 to node 13 with capacity 15,\nan edge from node 8 to node 1 with capacity 9,\nan edge from node 8 to node 0 with capacity 14,\nan edge from node 8 to node 7 with capacity 2,\nan edge from node 9 to node 12 with capacity 3,\nan edge from node 9 to node 16 with capacity 20,\nan edge from node 9 to node 14 with capacity 4,\nan edge from node 9 to node 7 with capacity 13,\nan edge from node 10 to node 16 with capacity 14,\nan edge from node 10 to node 13 with capacity 20,\nan edge from node 10 to node 5 with capacity 2,\nan edge from node 10 to node 17 with capacity 1,\nan edge from node 10 to node 3 with capacity 17,\nan edge from node 10 to node 0 with capacity 1,\nan edge from node 11 to node 12 with capacity 3,\nan edge from node 11 to node 18 with capacity 20,\nan edge from node 11 to node 17 with capacity 10,\nan edge from node 11 to node 10 with capacity 12,\nan edge from node 11 to node 3 with capacity 6,\nan edge from node 11 to node 4 with capacity 7,\nan edge from node 11 to node 15 with capacity 8,\nan edge from node 12 to node 14 with capacity 17,\nan edge from node 12 to node 10 with capacity 20,\nan edge from node 12 to node 0 with capacity 3,\nan edge from node 13 to node 16 with capacity 13,\nan edge from node 13 to node 19 with capacity 13,\nan edge from node 13 to node 4 with capacity 12,\nan edge from node 13 to node 8 with capacity 9,\nan edge from node 14 to node 12 with capacity 12,\nan edge from node 14 to node 1 with capacity 5,\nan edge from node 14 to node 3 with capacity 11,\nan edge from node 14 to node 9 with capacity 4,\nan edge from node 15 to node 18 with capacity 19,\nan edge from node 15 to node 2 with capacity 20,\nan edge from node 15 to node 11 with capacity 6,\nan edge from node 15 to node 5 with capacity 2,\nan edge from node 16 to node 5 with capacity 10,\nan edge from node 16 to node 17 with capacity 13,\nan edge from node 16 to node 0 with capacity 11,\nan edge from node 16 to node 19 with capacity 4,\nan edge from node 16 to node 8 with capacity 10,\nan edge from node 16 to node 9 with capacity 18,\nan edge from node 17 to node 6 with capacity 15,\nan edge from node 17 to node 2 with capacity 8,\nan edge from node 17 to node 13 with capacity 20,\nan edge from node 17 to node 0 with capacity 13,\nan edge from node 17 to node 19 with capacity 13,\nan edge from node 18 to node 12 with capacity 2,\nan edge from node 18 to node 1 with capacity 20,\nan edge from node 18 to node 5 with capacity 20,\nan edge from node 18 to node 0 with capacity 16,\nan edge from node 18 to node 19 with capacity 5,\nan edge from node 19 to node 17 with capacity 15,\nan edge from node 19 to node 3 with capacity 5,\nan edge from node 19 to node 15 with capacity 12,\nWhat is the maximum flow from node 5 to node 19:"
            },
            {
                "from": "gpt",
                "value": "28."
            }
        ]
    },
    {
        "id": "flow-hard-graph882",
        "image": "data/flow/graph_visual/hard/graph882.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 16 with capacity 11,\nan edge from node 0 to node 2 with capacity 17,\nan edge from node 0 to node 4 with capacity 1,\nan edge from node 0 to node 17 with capacity 17,\nan edge from node 0 to node 7 with capacity 16,\nan edge from node 0 to node 12 with capacity 3,\nan edge from node 0 to node 9 with capacity 20,\nan edge from node 1 to node 3 with capacity 9,\nan edge from node 1 to node 8 with capacity 18,\nan edge from node 1 to node 2 with capacity 14,\nan edge from node 1 to node 4 with capacity 2,\nan edge from node 1 to node 7 with capacity 8,\nan edge from node 1 to node 5 with capacity 8,\nan edge from node 1 to node 11 with capacity 7,\nan edge from node 1 to node 15 with capacity 10,\nan edge from node 2 to node 3 with capacity 13,\nan edge from node 2 to node 12 with capacity 5,\nan edge from node 2 to node 10 with capacity 6,\nan edge from node 3 to node 16 with capacity 11,\nan edge from node 3 to node 1 with capacity 7,\nan edge from node 3 to node 12 with capacity 14,\nan edge from node 3 to node 5 with capacity 3,\nan edge from node 3 to node 11 with capacity 7,\nan edge from node 3 to node 9 with capacity 18,\nan edge from node 4 to node 3 with capacity 1,\nan edge from node 4 to node 11 with capacity 11,\nan edge from node 4 to node 10 with capacity 15,\nan edge from node 5 to node 8 with capacity 14,\nan edge from node 5 to node 13 with capacity 8,\nan edge from node 5 to node 12 with capacity 14,\nan edge from node 6 to node 0 with capacity 19,\nan edge from node 6 to node 2 with capacity 2,\nan edge from node 6 to node 13 with capacity 6,\nan edge from node 6 to node 7 with capacity 12,\nan edge from node 6 to node 11 with capacity 10,\nan edge from node 6 to node 9 with capacity 8,\nan edge from node 7 to node 8 with capacity 8,\nan edge from node 7 to node 13 with capacity 5,\nan edge from node 7 to node 1 with capacity 14,\nan edge from node 7 to node 5 with capacity 13,\nan edge from node 7 to node 15 with capacity 3,\nan edge from node 7 to node 9 with capacity 14,\nan edge from node 8 to node 2 with capacity 16,\nan edge from node 8 to node 1 with capacity 10,\nan edge from node 8 to node 5 with capacity 11,\nan edge from node 8 to node 11 with capacity 5,\nan edge from node 8 to node 10 with capacity 20,\nan edge from node 8 to node 9 with capacity 9,\nan edge from node 9 to node 3 with capacity 10,\nan edge from node 9 to node 2 with capacity 16,\nan edge from node 9 to node 13 with capacity 13,\nan edge from node 10 to node 0 with capacity 10,\nan edge from node 10 to node 3 with capacity 6,\nan edge from node 10 to node 6 with capacity 12,\nan edge from node 10 to node 1 with capacity 9,\nan edge from node 11 to node 0 with capacity 10,\nan edge from node 12 to node 0 with capacity 7,\nan edge from node 12 to node 8 with capacity 15,\nan edge from node 12 to node 6 with capacity 2,\nan edge from node 12 to node 11 with capacity 17,\nan edge from node 13 to node 8 with capacity 20,\nan edge from node 13 to node 16 with capacity 15,\nan edge from node 13 to node 6 with capacity 12,\nan edge from node 13 to node 17 with capacity 5,\nan edge from node 13 to node 11 with capacity 13,\nan edge from node 13 to node 9 with capacity 7,\nan edge from node 14 to node 0 with capacity 17,\nan edge from node 14 to node 8 with capacity 3,\nan edge from node 14 to node 12 with capacity 4,\nan edge from node 14 to node 10 with capacity 15,\nan edge from node 15 to node 8 with capacity 2,\nan edge from node 15 to node 1 with capacity 11,\nan edge from node 15 to node 12 with capacity 8,\nan edge from node 15 to node 5 with capacity 18,\nan edge from node 15 to node 11 with capacity 12,\nan edge from node 15 to node 10 with capacity 16,\nan edge from node 15 to node 9 with capacity 4,\nan edge from node 16 to node 0 with capacity 1,\nan edge from node 16 to node 2 with capacity 6,\nan edge from node 16 to node 4 with capacity 1,\nan edge from node 16 to node 14 with capacity 14,\nan edge from node 16 to node 7 with capacity 3,\nan edge from node 16 to node 5 with capacity 11,\nan edge from node 17 to node 0 with capacity 17,\nan edge from node 17 to node 16 with capacity 16,\nan edge from node 17 to node 1 with capacity 5,\nan edge from node 17 to node 7 with capacity 14,\nan edge from node 17 to node 15 with capacity 4,\nWhat is the maximum flow from node 12 to node 7:"
            },
            {
                "from": "gpt",
                "value": "34."
            }
        ]
    },
    {
        "id": "flow-hard-graph1194",
        "image": "data/flow/graph_visual/hard/graph1194.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 17 with capacity 11,\nan edge from node 0 to node 5 with capacity 14,\nan edge from node 1 to node 8 with capacity 3,\nan edge from node 1 to node 12 with capacity 14,\nan edge from node 1 to node 9 with capacity 1,\nan edge from node 1 to node 18 with capacity 10,\nan edge from node 1 to node 7 with capacity 12,\nan edge from node 1 to node 14 with capacity 16,\nan edge from node 1 to node 0 with capacity 3,\nan edge from node 1 to node 15 with capacity 2,\nan edge from node 2 to node 8 with capacity 2,\nan edge from node 2 to node 5 with capacity 5,\nan edge from node 2 to node 12 with capacity 20,\nan edge from node 2 to node 9 with capacity 2,\nan edge from node 2 to node 7 with capacity 20,\nan edge from node 2 to node 10 with capacity 11,\nan edge from node 3 to node 2 with capacity 10,\nan edge from node 3 to node 5 with capacity 17,\nan edge from node 3 to node 11 with capacity 10,\nan edge from node 3 to node 14 with capacity 10,\nan edge from node 4 to node 8 with capacity 3,\nan edge from node 4 to node 5 with capacity 13,\nan edge from node 4 to node 18 with capacity 7,\nan edge from node 4 to node 15 with capacity 20,\nan edge from node 5 to node 2 with capacity 16,\nan edge from node 5 to node 9 with capacity 9,\nan edge from node 5 to node 18 with capacity 8,\nan edge from node 5 to node 7 with capacity 7,\nan edge from node 5 to node 0 with capacity 6,\nan edge from node 5 to node 10 with capacity 9,\nan edge from node 6 to node 5 with capacity 18,\nan edge from node 6 to node 18 with capacity 10,\nan edge from node 6 to node 11 with capacity 18,\nan edge from node 6 to node 19 with capacity 3,\nan edge from node 7 to node 8 with capacity 17,\nan edge from node 7 to node 9 with capacity 20,\nan edge from node 7 to node 18 with capacity 9,\nan edge from node 7 to node 15 with capacity 11,\nan edge from node 8 to node 12 with capacity 14,\nan edge from node 8 to node 9 with capacity 6,\nan edge from node 8 to node 0 with capacity 16,\nan edge from node 9 to node 2 with capacity 17,\nan edge from node 9 to node 17 with capacity 2,\nan edge from node 9 to node 5 with capacity 1,\nan edge from node 9 to node 12 with capacity 13,\nan edge from node 9 to node 19 with capacity 14,\nan edge from node 9 to node 10 with capacity 3,\nan edge from node 9 to node 6 with capacity 13,\nan edge from node 11 to node 17 with capacity 3,\nan edge from node 11 to node 5 with capacity 14,\nan edge from node 11 to node 3 with capacity 5,\nan edge from node 11 to node 0 with capacity 7,\nan edge from node 12 to node 4 with capacity 17,\nan edge from node 12 to node 3 with capacity 9,\nan edge from node 12 to node 11 with capacity 15,\nan edge from node 12 to node 14 with capacity 14,\nan edge from node 12 to node 10 with capacity 20,\nan edge from node 12 to node 15 with capacity 9,\nan edge from node 13 to node 9 with capacity 10,\nan edge from node 13 to node 7 with capacity 18,\nan edge from node 13 to node 11 with capacity 19,\nan edge from node 13 to node 14 with capacity 8,\nan edge from node 13 to node 16 with capacity 6,\nan edge from node 14 to node 2 with capacity 11,\nan edge from node 14 to node 4 with capacity 1,\nan edge from node 14 to node 10 with capacity 14,\nan edge from node 14 to node 16 with capacity 20,\nan edge from node 15 to node 12 with capacity 4,\nan edge from node 15 to node 3 with capacity 11,\nan edge from node 15 to node 19 with capacity 3,\nan edge from node 15 to node 16 with capacity 7,\nan edge from node 16 to node 7 with capacity 18,\nan edge from node 16 to node 14 with capacity 16,\nan edge from node 16 to node 10 with capacity 9,\nan edge from node 17 to node 2 with capacity 13,\nan edge from node 17 to node 18 with capacity 5,\nan edge from node 17 to node 7 with capacity 3,\nan edge from node 17 to node 10 with capacity 12,\nan edge from node 18 to node 2 with capacity 15,\nan edge from node 18 to node 1 with capacity 7,\nan edge from node 18 to node 17 with capacity 6,\nan edge from node 18 to node 4 with capacity 10,\nan edge from node 18 to node 12 with capacity 13,\nan edge from node 18 to node 9 with capacity 10,\nan edge from node 18 to node 3 with capacity 7,\nan edge from node 18 to node 0 with capacity 18,\nan edge from node 18 to node 13 with capacity 18,\nan edge from node 19 to node 17 with capacity 16,\nan edge from node 19 to node 9 with capacity 19,\nan edge from node 19 to node 13 with capacity 6,\nan edge from node 19 to node 15 with capacity 14,\nWhat is the maximum flow from node 4 to node 8:"
            },
            {
                "from": "gpt",
                "value": "25."
            }
        ]
    },
    {
        "id": "flow-hard-graph181",
        "image": "data/flow/graph_visual/hard/graph181.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 1 with capacity 18,\nan edge from node 0 to node 4 with capacity 9,\nan edge from node 0 to node 7 with capacity 19,\nan edge from node 1 to node 11 with capacity 11,\nan edge from node 1 to node 5 with capacity 17,\nan edge from node 1 to node 3 with capacity 5,\nan edge from node 2 to node 8 with capacity 6,\nan edge from node 2 to node 1 with capacity 5,\nan edge from node 2 to node 9 with capacity 1,\nan edge from node 3 to node 2 with capacity 10,\nan edge from node 3 to node 7 with capacity 3,\nan edge from node 4 to node 11 with capacity 10,\nan edge from node 5 to node 4 with capacity 7,\nan edge from node 6 to node 0 with capacity 10,\nan edge from node 6 to node 1 with capacity 16,\nan edge from node 6 to node 9 with capacity 20,\nan edge from node 6 to node 7 with capacity 17,\nan edge from node 7 to node 8 with capacity 4,\nan edge from node 7 to node 3 with capacity 19,\nan edge from node 7 to node 4 with capacity 16,\nan edge from node 8 to node 1 with capacity 1,\nan edge from node 8 to node 7 with capacity 4,\nan edge from node 9 to node 8 with capacity 19,\nan edge from node 9 to node 0 with capacity 16,\nan edge from node 9 to node 3 with capacity 18,\nan edge from node 10 to node 5 with capacity 8,\nan edge from node 10 to node 0 with capacity 19,\nan edge from node 10 to node 6 with capacity 19,\nan edge from node 11 to node 2 with capacity 16,\nan edge from node 11 to node 0 with capacity 10,\nan edge from node 11 to node 4 with capacity 4,\nWhat is the maximum flow from node 2 to node 4:"
            },
            {
                "from": "gpt",
                "value": "11."
            }
        ]
    },
    {
        "id": "flow-hard-graph495",
        "image": "data/flow/graph_visual/hard/graph495.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 9 with capacity 19,\nan edge from node 0 to node 8 with capacity 20,\nan edge from node 0 to node 4 with capacity 20,\nan edge from node 0 to node 5 with capacity 4,\nan edge from node 0 to node 3 with capacity 5,\nan edge from node 1 to node 7 with capacity 15,\nan edge from node 1 to node 0 with capacity 17,\nan edge from node 1 to node 14 with capacity 2,\nan edge from node 1 to node 8 with capacity 17,\nan edge from node 1 to node 3 with capacity 12,\nan edge from node 2 to node 7 with capacity 9,\nan edge from node 2 to node 14 with capacity 5,\nan edge from node 2 to node 1 with capacity 17,\nan edge from node 2 to node 10 with capacity 2,\nan edge from node 3 to node 9 with capacity 1,\nan edge from node 3 to node 7 with capacity 1,\nan edge from node 4 to node 14 with capacity 20,\nan edge from node 5 to node 7 with capacity 15,\nan edge from node 5 to node 11 with capacity 19,\nan edge from node 5 to node 13 with capacity 11,\nan edge from node 5 to node 14 with capacity 11,\nan edge from node 5 to node 4 with capacity 5,\nan edge from node 6 to node 7 with capacity 20,\nan edge from node 6 to node 8 with capacity 12,\nan edge from node 6 to node 10 with capacity 6,\nan edge from node 7 to node 3 with capacity 10,\nan edge from node 8 to node 7 with capacity 19,\nan edge from node 8 to node 2 with capacity 9,\nan edge from node 8 to node 4 with capacity 12,\nan edge from node 9 to node 12 with capacity 2,\nan edge from node 9 to node 8 with capacity 15,\nan edge from node 10 to node 9 with capacity 15,\nan edge from node 10 to node 2 with capacity 18,\nan edge from node 10 to node 14 with capacity 6,\nan edge from node 10 to node 3 with capacity 4,\nan edge from node 12 to node 2 with capacity 3,\nan edge from node 12 to node 0 with capacity 15,\nan edge from node 13 to node 12 with capacity 19,\nan edge from node 13 to node 14 with capacity 13,\nan edge from node 13 to node 1 with capacity 12,\nan edge from node 13 to node 10 with capacity 16,\nan edge from node 13 to node 6 with capacity 18,\nan edge from node 14 to node 9 with capacity 14,\nan edge from node 14 to node 11 with capacity 16,\nWhat is the maximum flow from node 8 to node 4:"
            },
            {
                "from": "gpt",
                "value": "22."
            }
        ]
    },
    {
        "id": "flow-hard-graph1001",
        "image": "data/flow/graph_visual/hard/graph1001.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 7 with capacity 13,\nan edge from node 0 to node 1 with capacity 2,\nan edge from node 0 to node 5 with capacity 2,\nan edge from node 1 to node 7 with capacity 14,\nan edge from node 1 to node 4 with capacity 12,\nan edge from node 1 to node 8 with capacity 18,\nan edge from node 1 to node 5 with capacity 8,\nan edge from node 2 to node 14 with capacity 20,\nan edge from node 2 to node 12 with capacity 8,\nan edge from node 2 to node 10 with capacity 7,\nan edge from node 2 to node 13 with capacity 17,\nan edge from node 2 to node 5 with capacity 11,\nan edge from node 2 to node 16 with capacity 1,\nan edge from node 3 to node 4 with capacity 5,\nan edge from node 3 to node 5 with capacity 7,\nan edge from node 4 to node 15 with capacity 10,\nan edge from node 4 to node 8 with capacity 10,\nan edge from node 4 to node 3 with capacity 7,\nan edge from node 4 to node 16 with capacity 5,\nan edge from node 4 to node 0 with capacity 15,\nan edge from node 5 to node 18 with capacity 2,\nan edge from node 5 to node 17 with capacity 6,\nan edge from node 5 to node 3 with capacity 6,\nan edge from node 5 to node 1 with capacity 4,\nan edge from node 5 to node 0 with capacity 18,\nan edge from node 6 to node 12 with capacity 3,\nan edge from node 6 to node 9 with capacity 12,\nan edge from node 6 to node 17 with capacity 6,\nan edge from node 6 to node 2 with capacity 16,\nan edge from node 6 to node 7 with capacity 18,\nan edge from node 7 to node 15 with capacity 6,\nan edge from node 7 to node 13 with capacity 9,\nan edge from node 7 to node 3 with capacity 20,\nan edge from node 7 to node 0 with capacity 19,\nan edge from node 8 to node 14 with capacity 17,\nan edge from node 8 to node 9 with capacity 18,\nan edge from node 8 to node 11 with capacity 11,\nan edge from node 8 to node 4 with capacity 17,\nan edge from node 8 to node 16 with capacity 3,\nan edge from node 8 to node 0 with capacity 19,\nan edge from node 9 to node 12 with capacity 1,\nan edge from node 9 to node 2 with capacity 10,\nan edge from node 9 to node 15 with capacity 2,\nan edge from node 9 to node 6 with capacity 16,\nan edge from node 9 to node 13 with capacity 4,\nan edge from node 9 to node 1 with capacity 11,\nan edge from node 9 to node 16 with capacity 3,\nan edge from node 9 to node 0 with capacity 16,\nan edge from node 10 to node 18 with capacity 17,\nan edge from node 10 to node 14 with capacity 6,\nan edge from node 10 to node 12 with capacity 4,\nan edge from node 10 to node 9 with capacity 6,\nan edge from node 10 to node 17 with capacity 11,\nan edge from node 10 to node 8 with capacity 6,\nan edge from node 10 to node 13 with capacity 19,\nan edge from node 10 to node 1 with capacity 6,\nan edge from node 11 to node 18 with capacity 20,\nan edge from node 11 to node 10 with capacity 6,\nan edge from node 11 to node 17 with capacity 9,\nan edge from node 11 to node 2 with capacity 9,\nan edge from node 11 to node 13 with capacity 6,\nan edge from node 11 to node 3 with capacity 3,\nan edge from node 12 to node 9 with capacity 2,\nan edge from node 12 to node 10 with capacity 19,\nan edge from node 12 to node 17 with capacity 3,\nan edge from node 12 to node 4 with capacity 5,\nan edge from node 12 to node 3 with capacity 5,\nan edge from node 12 to node 0 with capacity 9,\nan edge from node 13 to node 14 with capacity 12,\nan edge from node 13 to node 9 with capacity 19,\nan edge from node 13 to node 10 with capacity 7,\nan edge from node 14 to node 15 with capacity 18,\nan edge from node 14 to node 8 with capacity 10,\nan edge from node 14 to node 3 with capacity 17,\nan edge from node 14 to node 5 with capacity 10,\nan edge from node 14 to node 0 with capacity 17,\nan edge from node 15 to node 10 with capacity 17,\nan edge from node 15 to node 2 with capacity 4,\nan edge from node 15 to node 7 with capacity 2,\nan edge from node 15 to node 8 with capacity 18,\nan edge from node 15 to node 5 with capacity 3,\nan edge from node 15 to node 16 with capacity 20,\nan edge from node 16 to node 10 with capacity 2,\nan edge from node 16 to node 7 with capacity 10,\nan edge from node 16 to node 6 with capacity 19,\nan edge from node 16 to node 13 with capacity 13,\nan edge from node 16 to node 1 with capacity 9,\nan edge from node 17 to node 9 with capacity 6,\nan edge from node 17 to node 2 with capacity 13,\nan edge from node 17 to node 1 with capacity 2,\nan edge from node 17 to node 5 with capacity 16,\nan edge from node 18 to node 14 with capacity 2,\nan edge from node 18 to node 9 with capacity 2,\nan edge from node 18 to node 10 with capacity 16,\nan edge from node 18 to node 17 with capacity 19,\nan edge from node 18 to node 8 with capacity 9,\nan edge from node 18 to node 5 with capacity 7,\nWhat is the maximum flow from node 3 to node 13:"
            },
            {
                "from": "gpt",
                "value": "12."
            }
        ]
    },
    {
        "id": "flow-hard-graph360",
        "image": "data/flow/graph_visual/hard/graph360.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 8 with capacity 6,\nan edge from node 0 to node 12 with capacity 5,\nan edge from node 0 to node 2 with capacity 11,\nan edge from node 0 to node 9 with capacity 1,\nan edge from node 0 to node 11 with capacity 17,\nan edge from node 0 to node 1 with capacity 11,\nan edge from node 1 to node 3 with capacity 19,\nan edge from node 1 to node 9 with capacity 10,\nan edge from node 1 to node 11 with capacity 19,\nan edge from node 1 to node 6 with capacity 19,\nan edge from node 2 to node 3 with capacity 1,\nan edge from node 2 to node 1 with capacity 6,\nan edge from node 3 to node 7 with capacity 5,\nan edge from node 3 to node 8 with capacity 2,\nan edge from node 3 to node 12 with capacity 18,\nan edge from node 3 to node 2 with capacity 2,\nan edge from node 3 to node 9 with capacity 15,\nan edge from node 4 to node 13 with capacity 6,\nan edge from node 4 to node 8 with capacity 8,\nan edge from node 4 to node 2 with capacity 19,\nan edge from node 4 to node 0 with capacity 6,\nan edge from node 5 to node 1 with capacity 18,\nan edge from node 6 to node 3 with capacity 15,\nan edge from node 6 to node 10 with capacity 3,\nan edge from node 6 to node 1 with capacity 11,\nan edge from node 6 to node 5 with capacity 4,\nan edge from node 7 to node 9 with capacity 3,\nan edge from node 8 to node 1 with capacity 4,\nan edge from node 8 to node 0 with capacity 5,\nan edge from node 9 to node 13 with capacity 5,\nan edge from node 9 to node 7 with capacity 3,\nan edge from node 9 to node 8 with capacity 20,\nan edge from node 9 to node 6 with capacity 10,\nan edge from node 9 to node 1 with capacity 9,\nan edge from node 10 to node 13 with capacity 14,\nan edge from node 10 to node 9 with capacity 17,\nan edge from node 10 to node 4 with capacity 20,\nan edge from node 10 to node 1 with capacity 12,\nan edge from node 11 to node 2 with capacity 15,\nan edge from node 11 to node 4 with capacity 7,\nan edge from node 12 to node 2 with capacity 18,\nan edge from node 12 to node 9 with capacity 6,\nan edge from node 12 to node 11 with capacity 18,\nan edge from node 12 to node 10 with capacity 10,\nan edge from node 12 to node 6 with capacity 1,\nan edge from node 12 to node 1 with capacity 2,\nan edge from node 13 to node 8 with capacity 20,\nan edge from node 13 to node 12 with capacity 15,\nan edge from node 13 to node 11 with capacity 8,\nan edge from node 13 to node 10 with capacity 16,\nan edge from node 13 to node 1 with capacity 14,\nWhat is the maximum flow from node 5 to node 3:"
            },
            {
                "from": "gpt",
                "value": "18."
            }
        ]
    },
    {
        "id": "flow-hard-graph598",
        "image": "data/flow/graph_visual/hard/graph598.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 12 with capacity 9,\nan edge from node 0 to node 11 with capacity 8,\nan edge from node 0 to node 7 with capacity 14,\nan edge from node 0 to node 10 with capacity 1,\nan edge from node 0 to node 13 with capacity 2,\nan edge from node 0 to node 6 with capacity 13,\nan edge from node 1 to node 11 with capacity 14,\nan edge from node 1 to node 8 with capacity 8,\nan edge from node 1 to node 7 with capacity 3,\nan edge from node 1 to node 10 with capacity 12,\nan edge from node 1 to node 9 with capacity 9,\nan edge from node 1 to node 13 with capacity 17,\nan edge from node 2 to node 7 with capacity 15,\nan edge from node 2 to node 14 with capacity 7,\nan edge from node 2 to node 13 with capacity 9,\nan edge from node 3 to node 4 with capacity 2,\nan edge from node 3 to node 7 with capacity 12,\nan edge from node 3 to node 5 with capacity 8,\nan edge from node 3 to node 13 with capacity 17,\nan edge from node 3 to node 6 with capacity 11,\nan edge from node 4 to node 12 with capacity 16,\nan edge from node 4 to node 2 with capacity 2,\nan edge from node 4 to node 14 with capacity 1,\nan edge from node 4 to node 9 with capacity 15,\nan edge from node 4 to node 13 with capacity 19,\nan edge from node 5 to node 13 with capacity 9,\nan edge from node 5 to node 6 with capacity 12,\nan edge from node 6 to node 11 with capacity 11,\nan edge from node 6 to node 0 with capacity 19,\nan edge from node 7 to node 12 with capacity 9,\nan edge from node 7 to node 10 with capacity 13,\nan edge from node 7 to node 5 with capacity 1,\nan edge from node 8 to node 11 with capacity 13,\nan edge from node 8 to node 4 with capacity 20,\nan edge from node 8 to node 3 with capacity 5,\nan edge from node 8 to node 9 with capacity 3,\nan edge from node 8 to node 0 with capacity 6,\nan edge from node 9 to node 12 with capacity 3,\nan edge from node 9 to node 3 with capacity 15,\nan edge from node 9 to node 13 with capacity 1,\nan edge from node 10 to node 11 with capacity 13,\nan edge from node 10 to node 1 with capacity 2,\nan edge from node 10 to node 7 with capacity 5,\nan edge from node 10 to node 3 with capacity 18,\nan edge from node 10 to node 0 with capacity 18,\nan edge from node 11 to node 12 with capacity 14,\nan edge from node 11 to node 7 with capacity 1,\nan edge from node 11 to node 10 with capacity 9,\nan edge from node 11 to node 0 with capacity 11,\nan edge from node 12 to node 10 with capacity 8,\nan edge from node 12 to node 5 with capacity 15,\nan edge from node 12 to node 9 with capacity 17,\nan edge from node 12 to node 6 with capacity 19,\nan edge from node 12 to node 0 with capacity 10,\nan edge from node 13 to node 4 with capacity 6,\nan edge from node 13 to node 14 with capacity 2,\nan edge from node 14 to node 8 with capacity 15,\nan edge from node 14 to node 3 with capacity 4,\nan edge from node 14 to node 13 with capacity 6,\nWhat is the maximum flow from node 2 to node 8:"
            },
            {
                "from": "gpt",
                "value": "12."
            }
        ]
    },
    {
        "id": "flow-hard-graph372",
        "image": "data/flow/graph_visual/hard/graph372.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 1 with capacity 5,\nan edge from node 0 to node 12 with capacity 18,\nan edge from node 0 to node 13 with capacity 13,\nan edge from node 1 to node 4 with capacity 6,\nan edge from node 1 to node 9 with capacity 20,\nan edge from node 2 to node 10 with capacity 11,\nan edge from node 2 to node 8 with capacity 18,\nan edge from node 2 to node 9 with capacity 7,\nan edge from node 3 to node 6 with capacity 14,\nan edge from node 3 to node 10 with capacity 7,\nan edge from node 3 to node 8 with capacity 15,\nan edge from node 3 to node 5 with capacity 13,\nan edge from node 3 to node 12 with capacity 1,\nan edge from node 4 to node 3 with capacity 4,\nan edge from node 4 to node 2 with capacity 11,\nan edge from node 4 to node 13 with capacity 12,\nan edge from node 5 to node 4 with capacity 14,\nan edge from node 5 to node 2 with capacity 12,\nan edge from node 5 to node 13 with capacity 4,\nan edge from node 6 to node 10 with capacity 2,\nan edge from node 6 to node 12 with capacity 18,\nan edge from node 7 to node 4 with capacity 6,\nan edge from node 7 to node 6 with capacity 13,\nan edge from node 7 to node 9 with capacity 7,\nan edge from node 7 to node 2 with capacity 15,\nan edge from node 8 to node 0 with capacity 20,\nan edge from node 8 to node 4 with capacity 9,\nan edge from node 8 to node 6 with capacity 7,\nan edge from node 8 to node 5 with capacity 12,\nan edge from node 8 to node 2 with capacity 20,\nan edge from node 8 to node 12 with capacity 4,\nan edge from node 8 to node 13 with capacity 10,\nan edge from node 9 to node 10 with capacity 11,\nan edge from node 10 to node 3 with capacity 11,\nan edge from node 10 to node 13 with capacity 17,\nan edge from node 11 to node 7 with capacity 7,\nan edge from node 11 to node 6 with capacity 15,\nan edge from node 11 to node 10 with capacity 14,\nan edge from node 11 to node 8 with capacity 20,\nan edge from node 12 to node 11 with capacity 12,\nan edge from node 12 to node 5 with capacity 16,\nan edge from node 13 to node 10 with capacity 5,\nan edge from node 13 to node 5 with capacity 6,\nan edge from node 13 to node 2 with capacity 14,\nWhat is the maximum flow from node 11 to node 1:"
            },
            {
                "from": "gpt",
                "value": "5."
            }
        ]
    },
    {
        "id": "flow-hard-graph1160",
        "image": "data/flow/graph_visual/hard/graph1160.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 9 with capacity 15,\nan edge from node 0 to node 2 with capacity 10,\nan edge from node 0 to node 12 with capacity 1,\nan edge from node 0 to node 19 with capacity 8,\nan edge from node 0 to node 8 with capacity 10,\nan edge from node 0 to node 6 with capacity 15,\nan edge from node 1 to node 17 with capacity 15,\nan edge from node 1 to node 8 with capacity 12,\nan edge from node 2 to node 9 with capacity 5,\nan edge from node 2 to node 19 with capacity 6,\nan edge from node 2 to node 8 with capacity 13,\nan edge from node 2 to node 5 with capacity 15,\nan edge from node 3 to node 9 with capacity 15,\nan edge from node 3 to node 2 with capacity 4,\nan edge from node 3 to node 4 with capacity 3,\nan edge from node 3 to node 15 with capacity 14,\nan edge from node 3 to node 7 with capacity 14,\nan edge from node 3 to node 16 with capacity 15,\nan edge from node 4 to node 19 with capacity 10,\nan edge from node 4 to node 11 with capacity 1,\nan edge from node 4 to node 15 with capacity 18,\nan edge from node 5 to node 9 with capacity 9,\nan edge from node 5 to node 15 with capacity 10,\nan edge from node 5 to node 16 with capacity 14,\nan edge from node 6 to node 4 with capacity 9,\nan edge from node 6 to node 19 with capacity 5,\nan edge from node 6 to node 11 with capacity 20,\nan edge from node 6 to node 3 with capacity 9,\nan edge from node 7 to node 17 with capacity 19,\nan edge from node 7 to node 2 with capacity 17,\nan edge from node 7 to node 8 with capacity 12,\nan edge from node 7 to node 15 with capacity 18,\nan edge from node 7 to node 6 with capacity 7,\nan edge from node 8 to node 14 with capacity 7,\nan edge from node 8 to node 4 with capacity 5,\nan edge from node 8 to node 12 with capacity 14,\nan edge from node 8 to node 11 with capacity 15,\nan edge from node 8 to node 3 with capacity 19,\nan edge from node 8 to node 16 with capacity 12,\nan edge from node 9 to node 17 with capacity 3,\nan edge from node 9 to node 19 with capacity 5,\nan edge from node 9 to node 10 with capacity 2,\nan edge from node 9 to node 6 with capacity 12,\nan edge from node 10 to node 9 with capacity 8,\nan edge from node 10 to node 1 with capacity 14,\nan edge from node 10 to node 12 with capacity 19,\nan edge from node 10 to node 13 with capacity 11,\nan edge from node 10 to node 3 with capacity 8,\nan edge from node 10 to node 5 with capacity 12,\nan edge from node 10 to node 6 with capacity 8,\nan edge from node 11 to node 4 with capacity 19,\nan edge from node 11 to node 1 with capacity 13,\nan edge from node 11 to node 18 with capacity 13,\nan edge from node 11 to node 3 with capacity 6,\nan edge from node 11 to node 16 with capacity 7,\nan edge from node 12 to node 1 with capacity 14,\nan edge from node 12 to node 18 with capacity 14,\nan edge from node 13 to node 17 with capacity 14,\nan edge from node 13 to node 10 with capacity 20,\nan edge from node 13 to node 15 with capacity 1,\nan edge from node 13 to node 0 with capacity 16,\nan edge from node 14 to node 2 with capacity 18,\nan edge from node 14 to node 1 with capacity 16,\nan edge from node 14 to node 8 with capacity 14,\nan edge from node 14 to node 10 with capacity 13,\nan edge from node 14 to node 15 with capacity 17,\nan edge from node 15 to node 14 with capacity 10,\nan edge from node 15 to node 9 with capacity 7,\nan edge from node 15 to node 2 with capacity 6,\nan edge from node 15 to node 19 with capacity 17,\nan edge from node 15 to node 5 with capacity 11,\nan edge from node 16 to node 2 with capacity 4,\nan edge from node 16 to node 1 with capacity 14,\nan edge from node 16 to node 18 with capacity 18,\nan edge from node 16 to node 11 with capacity 6,\nan edge from node 17 to node 9 with capacity 11,\nan edge from node 17 to node 12 with capacity 16,\nan edge from node 17 to node 11 with capacity 4,\nan edge from node 17 to node 5 with capacity 15,\nan edge from node 18 to node 10 with capacity 15,\nan edge from node 18 to node 5 with capacity 12,\nan edge from node 18 to node 0 with capacity 20,\nan edge from node 19 to node 14 with capacity 4,\nan edge from node 19 to node 9 with capacity 1,\nan edge from node 19 to node 18 with capacity 16,\nan edge from node 19 to node 8 with capacity 8,\nan edge from node 19 to node 3 with capacity 7,\nan edge from node 19 to node 5 with capacity 5,\nWhat is the maximum flow from node 6 to node 15:"
            },
            {
                "from": "gpt",
                "value": "43."
            }
        ]
    },
    {
        "id": "flow-hard-graph1156",
        "image": "data/flow/graph_visual/hard/graph1156.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 10 with capacity 13,\nan edge from node 0 to node 12 with capacity 5,\nan edge from node 0 to node 9 with capacity 11,\nan edge from node 0 to node 6 with capacity 7,\nan edge from node 1 to node 8 with capacity 17,\nan edge from node 1 to node 6 with capacity 5,\nan edge from node 1 to node 17 with capacity 8,\nan edge from node 2 to node 10 with capacity 2,\nan edge from node 2 to node 18 with capacity 14,\nan edge from node 2 to node 19 with capacity 6,\nan edge from node 2 to node 7 with capacity 5,\nan edge from node 3 to node 5 with capacity 6,\nan edge from node 3 to node 9 with capacity 6,\nan edge from node 3 to node 7 with capacity 10,\nan edge from node 4 to node 10 with capacity 19,\nan edge from node 4 to node 5 with capacity 7,\nan edge from node 4 to node 16 with capacity 18,\nan edge from node 4 to node 19 with capacity 6,\nan edge from node 4 to node 2 with capacity 10,\nan edge from node 4 to node 17 with capacity 7,\nan edge from node 4 to node 1 with capacity 3,\nan edge from node 4 to node 3 with capacity 19,\nan edge from node 5 to node 18 with capacity 11,\nan edge from node 5 to node 19 with capacity 2,\nan edge from node 5 to node 4 with capacity 4,\nan edge from node 5 to node 17 with capacity 17,\nan edge from node 5 to node 7 with capacity 11,\nan edge from node 5 to node 3 with capacity 12,\nan edge from node 6 to node 16 with capacity 2,\nan edge from node 6 to node 11 with capacity 10,\nan edge from node 6 to node 19 with capacity 7,\nan edge from node 6 to node 9 with capacity 16,\nan edge from node 6 to node 4 with capacity 19,\nan edge from node 6 to node 2 with capacity 16,\nan edge from node 6 to node 0 with capacity 2,\nan edge from node 7 to node 11 with capacity 19,\nan edge from node 7 to node 2 with capacity 6,\nan edge from node 7 to node 15 with capacity 16,\nan edge from node 8 to node 13 with capacity 4,\nan edge from node 8 to node 11 with capacity 12,\nan edge from node 8 to node 19 with capacity 9,\nan edge from node 8 to node 12 with capacity 9,\nan edge from node 8 to node 4 with capacity 15,\nan edge from node 8 to node 6 with capacity 2,\nan edge from node 9 to node 10 with capacity 20,\nan edge from node 9 to node 0 with capacity 20,\nan edge from node 9 to node 14 with capacity 12,\nan edge from node 9 to node 15 with capacity 13,\nan edge from node 9 to node 3 with capacity 8,\nan edge from node 10 to node 12 with capacity 18,\nan edge from node 10 to node 17 with capacity 14,\nan edge from node 10 to node 15 with capacity 19,\nan edge from node 10 to node 1 with capacity 14,\nan edge from node 11 to node 10 with capacity 12,\nan edge from node 11 to node 16 with capacity 14,\nan edge from node 11 to node 19 with capacity 19,\nan edge from node 11 to node 2 with capacity 10,\nan edge from node 11 to node 15 with capacity 20,\nan edge from node 11 to node 3 with capacity 11,\nan edge from node 12 to node 19 with capacity 2,\nan edge from node 12 to node 3 with capacity 4,\nan edge from node 13 to node 10 with capacity 16,\nan edge from node 13 to node 5 with capacity 8,\nan edge from node 13 to node 8 with capacity 6,\nan edge from node 13 to node 16 with capacity 5,\nan edge from node 13 to node 11 with capacity 13,\nan edge from node 13 to node 19 with capacity 14,\nan edge from node 13 to node 6 with capacity 7,\nan edge from node 13 to node 15 with capacity 18,\nan edge from node 13 to node 7 with capacity 8,\nan edge from node 14 to node 10 with capacity 3,\nan edge from node 14 to node 5 with capacity 16,\nan edge from node 14 to node 13 with capacity 9,\nan edge from node 14 to node 11 with capacity 18,\nan edge from node 14 to node 2 with capacity 17,\nan edge from node 14 to node 6 with capacity 1,\nan edge from node 14 to node 7 with capacity 2,\nan edge from node 14 to node 3 with capacity 10,\nan edge from node 15 to node 10 with capacity 20,\nan edge from node 15 to node 5 with capacity 12,\nan edge from node 15 to node 8 with capacity 4,\nan edge from node 15 to node 2 with capacity 13,\nan edge from node 15 to node 17 with capacity 4,\nan edge from node 15 to node 14 with capacity 11,\nan edge from node 15 to node 7 with capacity 13,\nan edge from node 16 to node 18 with capacity 6,\nan edge from node 16 to node 4 with capacity 6,\nan edge from node 16 to node 0 with capacity 8,\nan edge from node 16 to node 15 with capacity 12,\nan edge from node 17 to node 16 with capacity 15,\nan edge from node 17 to node 19 with capacity 1,\nan edge from node 17 to node 2 with capacity 4,\nan edge from node 17 to node 6 with capacity 18,\nan edge from node 17 to node 0 with capacity 6,\nan edge from node 17 to node 7 with capacity 2,\nan edge from node 18 to node 5 with capacity 17,\nan edge from node 18 to node 13 with capacity 12,\nan edge from node 18 to node 8 with capacity 6,\nan edge from node 18 to node 12 with capacity 6,\nan edge from node 19 to node 5 with capacity 2,\nan edge from node 19 to node 13 with capacity 14,\nan edge from node 19 to node 8 with capacity 9,\nan edge from node 19 to node 2 with capacity 10,\nan edge from node 19 to node 15 with capacity 19,\nWhat is the maximum flow from node 7 to node 15:"
            },
            {
                "from": "gpt",
                "value": "41."
            }
        ]
    },
    {
        "id": "flow-hard-graph567",
        "image": "data/flow/graph_visual/hard/graph567.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 8 with capacity 3,\nan edge from node 0 to node 3 with capacity 12,\nan edge from node 0 to node 5 with capacity 18,\nan edge from node 0 to node 2 with capacity 17,\nan edge from node 1 to node 12 with capacity 6,\nan edge from node 1 to node 4 with capacity 16,\nan edge from node 1 to node 9 with capacity 15,\nan edge from node 2 to node 7 with capacity 11,\nan edge from node 3 to node 13 with capacity 3,\nan edge from node 3 to node 8 with capacity 3,\nan edge from node 3 to node 5 with capacity 9,\nan edge from node 3 to node 12 with capacity 9,\nan edge from node 3 to node 7 with capacity 18,\nan edge from node 3 to node 9 with capacity 19,\nan edge from node 5 to node 2 with capacity 6,\nan edge from node 6 to node 10 with capacity 2,\nan edge from node 6 to node 4 with capacity 15,\nan edge from node 7 to node 1 with capacity 20,\nan edge from node 7 to node 5 with capacity 13,\nan edge from node 7 to node 2 with capacity 4,\nan edge from node 8 to node 10 with capacity 13,\nan edge from node 8 to node 12 with capacity 13,\nan edge from node 8 to node 7 with capacity 18,\nan edge from node 10 to node 9 with capacity 1,\nan edge from node 11 to node 14 with capacity 3,\nan edge from node 11 to node 0 with capacity 8,\nan edge from node 11 to node 3 with capacity 6,\nan edge from node 11 to node 5 with capacity 17,\nan edge from node 11 to node 2 with capacity 17,\nan edge from node 11 to node 7 with capacity 19,\nan edge from node 12 to node 11 with capacity 13,\nan edge from node 12 to node 10 with capacity 17,\nan edge from node 12 to node 7 with capacity 8,\nan edge from node 13 to node 8 with capacity 14,\nan edge from node 13 to node 1 with capacity 12,\nan edge from node 13 to node 3 with capacity 20,\nan edge from node 13 to node 2 with capacity 6,\nan edge from node 13 to node 7 with capacity 20,\nan edge from node 13 to node 9 with capacity 14,\nan edge from node 14 to node 6 with capacity 13,\nan edge from node 14 to node 0 with capacity 1,\nan edge from node 14 to node 3 with capacity 14,\nan edge from node 14 to node 4 with capacity 19,\nan edge from node 14 to node 9 with capacity 16,\nWhat is the maximum flow from node 7 to node 3:"
            },
            {
                "from": "gpt",
                "value": "6."
            }
        ]
    },
    {
        "id": "flow-hard-graph1083",
        "image": "data/flow/graph_visual/hard/graph1083.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 5 with capacity 2,\nan edge from node 0 to node 9 with capacity 14,\nan edge from node 0 to node 6 with capacity 1,\nan edge from node 0 to node 11 with capacity 4,\nan edge from node 1 to node 16 with capacity 14,\nan edge from node 1 to node 2 with capacity 12,\nan edge from node 1 to node 9 with capacity 19,\nan edge from node 1 to node 14 with capacity 3,\nan edge from node 1 to node 12 with capacity 1,\nan edge from node 1 to node 6 with capacity 3,\nan edge from node 1 to node 8 with capacity 13,\nan edge from node 1 to node 19 with capacity 11,\nan edge from node 2 to node 3 with capacity 7,\nan edge from node 2 to node 6 with capacity 8,\nan edge from node 2 to node 8 with capacity 8,\nan edge from node 3 to node 6 with capacity 2,\nan edge from node 4 to node 5 with capacity 10,\nan edge from node 4 to node 2 with capacity 8,\nan edge from node 4 to node 10 with capacity 5,\nan edge from node 4 to node 12 with capacity 6,\nan edge from node 4 to node 17 with capacity 5,\nan edge from node 4 to node 1 with capacity 5,\nan edge from node 5 to node 4 with capacity 11,\nan edge from node 5 to node 12 with capacity 8,\nan edge from node 5 to node 17 with capacity 10,\nan edge from node 5 to node 0 with capacity 20,\nan edge from node 6 to node 5 with capacity 3,\nan edge from node 6 to node 4 with capacity 1,\nan edge from node 6 to node 18 with capacity 1,\nan edge from node 6 to node 0 with capacity 13,\nan edge from node 6 to node 15 with capacity 20,\nan edge from node 7 to node 4 with capacity 12,\nan edge from node 7 to node 17 with capacity 16,\nan edge from node 7 to node 8 with capacity 5,\nan edge from node 8 to node 4 with capacity 10,\nan edge from node 8 to node 17 with capacity 9,\nan edge from node 8 to node 18 with capacity 2,\nan edge from node 8 to node 19 with capacity 17,\nan edge from node 9 to node 4 with capacity 13,\nan edge from node 9 to node 3 with capacity 7,\nan edge from node 9 to node 14 with capacity 10,\nan edge from node 9 to node 17 with capacity 8,\nan edge from node 9 to node 15 with capacity 8,\nan edge from node 10 to node 5 with capacity 9,\nan edge from node 10 to node 4 with capacity 20,\nan edge from node 10 to node 3 with capacity 12,\nan edge from node 10 to node 14 with capacity 5,\nan edge from node 10 to node 12 with capacity 7,\nan edge from node 10 to node 1 with capacity 12,\nan edge from node 10 to node 8 with capacity 6,\nan edge from node 10 to node 15 with capacity 16,\nan edge from node 11 to node 2 with capacity 18,\nan edge from node 11 to node 14 with capacity 9,\nan edge from node 11 to node 12 with capacity 13,\nan edge from node 11 to node 0 with capacity 3,\nan edge from node 11 to node 15 with capacity 1,\nan edge from node 11 to node 19 with capacity 7,\nan edge from node 12 to node 14 with capacity 13,\nan edge from node 12 to node 15 with capacity 19,\nan edge from node 13 to node 7 with capacity 9,\nan edge from node 13 to node 9 with capacity 17,\nan edge from node 13 to node 14 with capacity 6,\nan edge from node 13 to node 10 with capacity 8,\nan edge from node 13 to node 6 with capacity 14,\nan edge from node 13 to node 17 with capacity 6,\nan edge from node 13 to node 15 with capacity 14,\nan edge from node 14 to node 5 with capacity 2,\nan edge from node 14 to node 9 with capacity 11,\nan edge from node 14 to node 10 with capacity 4,\nan edge from node 14 to node 12 with capacity 13,\nan edge from node 14 to node 18 with capacity 18,\nan edge from node 14 to node 0 with capacity 16,\nan edge from node 14 to node 19 with capacity 3,\nan edge from node 15 to node 16 with capacity 16,\nan edge from node 15 to node 13 with capacity 2,\nan edge from node 15 to node 0 with capacity 13,\nan edge from node 15 to node 1 with capacity 14,\nan edge from node 16 to node 7 with capacity 19,\nan edge from node 16 to node 10 with capacity 13,\nan edge from node 16 to node 17 with capacity 13,\nan edge from node 16 to node 0 with capacity 13,\nan edge from node 16 to node 11 with capacity 10,\nan edge from node 17 to node 2 with capacity 6,\nan edge from node 17 to node 13 with capacity 3,\nan edge from node 17 to node 1 with capacity 10,\nan edge from node 17 to node 11 with capacity 6,\nan edge from node 18 to node 13 with capacity 6,\nan edge from node 18 to node 0 with capacity 9,\nan edge from node 18 to node 15 with capacity 13,\nan edge from node 19 to node 7 with capacity 11,\nan edge from node 19 to node 2 with capacity 19,\nan edge from node 19 to node 14 with capacity 8,\nan edge from node 19 to node 17 with capacity 19,\nan edge from node 19 to node 1 with capacity 16,\nan edge from node 19 to node 8 with capacity 1,\nWhat is the maximum flow from node 9 to node 6:"
            },
            {
                "from": "gpt",
                "value": "25."
            }
        ]
    },
    {
        "id": "flow-hard-graph688",
        "image": "data/flow/graph_visual/hard/graph688.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 8 with capacity 10,\nan edge from node 0 to node 13 with capacity 15,\nan edge from node 0 to node 14 with capacity 10,\nan edge from node 0 to node 4 with capacity 7,\nan edge from node 0 to node 7 with capacity 20,\nan edge from node 0 to node 11 with capacity 8,\nan edge from node 1 to node 9 with capacity 6,\nan edge from node 1 to node 3 with capacity 12,\nan edge from node 1 to node 4 with capacity 6,\nan edge from node 1 to node 10 with capacity 13,\nan edge from node 2 to node 6 with capacity 12,\nan edge from node 2 to node 15 with capacity 16,\nan edge from node 2 to node 8 with capacity 17,\nan edge from node 2 to node 14 with capacity 17,\nan edge from node 2 to node 3 with capacity 8,\nan edge from node 2 to node 7 with capacity 5,\nan edge from node 3 to node 9 with capacity 2,\nan edge from node 3 to node 13 with capacity 13,\nan edge from node 3 to node 0 with capacity 12,\nan edge from node 3 to node 2 with capacity 4,\nan edge from node 4 to node 13 with capacity 6,\nan edge from node 4 to node 0 with capacity 19,\nan edge from node 4 to node 2 with capacity 18,\nan edge from node 4 to node 11 with capacity 18,\nan edge from node 5 to node 6 with capacity 15,\nan edge from node 5 to node 15 with capacity 4,\nan edge from node 5 to node 13 with capacity 2,\nan edge from node 5 to node 0 with capacity 10,\nan edge from node 5 to node 10 with capacity 14,\nan edge from node 6 to node 0 with capacity 5,\nan edge from node 7 to node 15 with capacity 10,\nan edge from node 7 to node 11 with capacity 17,\nan edge from node 8 to node 5 with capacity 14,\nan edge from node 9 to node 12 with capacity 12,\nan edge from node 9 to node 15 with capacity 11,\nan edge from node 9 to node 5 with capacity 12,\nan edge from node 9 to node 11 with capacity 7,\nan edge from node 10 to node 6 with capacity 3,\nan edge from node 10 to node 9 with capacity 2,\nan edge from node 10 to node 15 with capacity 6,\nan edge from node 10 to node 8 with capacity 15,\nan edge from node 10 to node 3 with capacity 13,\nan edge from node 10 to node 1 with capacity 1,\nan edge from node 11 to node 15 with capacity 12,\nan edge from node 11 to node 5 with capacity 3,\nan edge from node 11 to node 14 with capacity 13,\nan edge from node 11 to node 3 with capacity 15,\nan edge from node 12 to node 5 with capacity 15,\nan edge from node 12 to node 3 with capacity 12,\nan edge from node 12 to node 10 with capacity 12,\nan edge from node 13 to node 8 with capacity 5,\nan edge from node 13 to node 14 with capacity 16,\nan edge from node 13 to node 2 with capacity 19,\nan edge from node 14 to node 6 with capacity 14,\nan edge from node 14 to node 4 with capacity 6,\nan edge from node 14 to node 7 with capacity 11,\nan edge from node 15 to node 6 with capacity 10,\nan edge from node 15 to node 8 with capacity 16,\nan edge from node 15 to node 1 with capacity 1,\nan edge from node 15 to node 7 with capacity 14,\nan edge from node 15 to node 10 with capacity 4,\nWhat is the maximum flow from node 3 to node 6:"
            },
            {
                "from": "gpt",
                "value": "31."
            }
        ]
    },
    {
        "id": "flow-hard-graph325",
        "image": "data/flow/graph_visual/hard/graph325.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 11 with capacity 5,\nan edge from node 0 to node 3 with capacity 14,\nan edge from node 0 to node 10 with capacity 19,\nan edge from node 0 to node 6 with capacity 7,\nan edge from node 1 to node 4 with capacity 19,\nan edge from node 2 to node 8 with capacity 17,\nan edge from node 2 to node 1 with capacity 8,\nan edge from node 3 to node 8 with capacity 5,\nan edge from node 3 to node 1 with capacity 9,\nan edge from node 3 to node 5 with capacity 2,\nan edge from node 3 to node 12 with capacity 17,\nan edge from node 4 to node 11 with capacity 14,\nan edge from node 4 to node 7 with capacity 7,\nan edge from node 4 to node 0 with capacity 9,\nan edge from node 4 to node 12 with capacity 1,\nan edge from node 5 to node 8 with capacity 14,\nan edge from node 5 to node 10 with capacity 16,\nan edge from node 5 to node 9 with capacity 15,\nan edge from node 6 to node 3 with capacity 19,\nan edge from node 6 to node 2 with capacity 18,\nan edge from node 6 to node 5 with capacity 1,\nan edge from node 6 to node 9 with capacity 2,\nan edge from node 7 to node 8 with capacity 2,\nan edge from node 7 to node 2 with capacity 15,\nan edge from node 7 to node 6 with capacity 8,\nan edge from node 8 to node 4 with capacity 19,\nan edge from node 8 to node 2 with capacity 3,\nan edge from node 8 to node 10 with capacity 18,\nan edge from node 8 to node 5 with capacity 17,\nan edge from node 8 to node 6 with capacity 1,\nan edge from node 8 to node 9 with capacity 16,\nan edge from node 8 to node 12 with capacity 9,\nan edge from node 9 to node 4 with capacity 6,\nan edge from node 9 to node 11 with capacity 4,\nan edge from node 9 to node 7 with capacity 12,\nan edge from node 9 to node 2 with capacity 5,\nan edge from node 9 to node 1 with capacity 5,\nan edge from node 9 to node 5 with capacity 15,\nan edge from node 10 to node 4 with capacity 17,\nan edge from node 10 to node 0 with capacity 3,\nan edge from node 11 to node 4 with capacity 8,\nan edge from node 11 to node 0 with capacity 11,\nan edge from node 12 to node 4 with capacity 3,\nan edge from node 12 to node 7 with capacity 10,\nan edge from node 12 to node 8 with capacity 3,\nan edge from node 12 to node 2 with capacity 1,\nan edge from node 12 to node 10 with capacity 20,\nan edge from node 12 to node 5 with capacity 11,\nWhat is the maximum flow from node 2 to node 9:"
            },
            {
                "from": "gpt",
                "value": "25."
            }
        ]
    },
    {
        "id": "flow-hard-graph144",
        "image": "data/flow/graph_visual/hard/graph144.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 10 with capacity 12,\nan edge from node 0 to node 9 with capacity 16,\nan edge from node 0 to node 8 with capacity 9,\nan edge from node 0 to node 1 with capacity 4,\nan edge from node 1 to node 4 with capacity 20,\nan edge from node 1 to node 5 with capacity 8,\nan edge from node 1 to node 10 with capacity 7,\nan edge from node 2 to node 11 with capacity 19,\nan edge from node 3 to node 4 with capacity 20,\nan edge from node 3 to node 5 with capacity 2,\nan edge from node 3 to node 7 with capacity 17,\nan edge from node 3 to node 8 with capacity 5,\nan edge from node 4 to node 0 with capacity 10,\nan edge from node 4 to node 9 with capacity 19,\nan edge from node 4 to node 3 with capacity 16,\nan edge from node 5 to node 9 with capacity 14,\nan edge from node 6 to node 10 with capacity 5,\nan edge from node 6 to node 2 with capacity 2,\nan edge from node 6 to node 3 with capacity 18,\nan edge from node 7 to node 11 with capacity 13,\nan edge from node 7 to node 8 with capacity 2,\nan edge from node 9 to node 4 with capacity 19,\nan edge from node 9 to node 8 with capacity 19,\nan edge from node 9 to node 1 with capacity 18,\nan edge from node 10 to node 11 with capacity 7,\nan edge from node 10 to node 7 with capacity 1,\nan edge from node 10 to node 8 with capacity 7,\nan edge from node 10 to node 6 with capacity 10,\nan edge from node 10 to node 2 with capacity 19,\nan edge from node 11 to node 0 with capacity 9,\nan edge from node 11 to node 8 with capacity 9,\nan edge from node 11 to node 2 with capacity 6,\nan edge from node 11 to node 3 with capacity 6,\nWhat is the maximum flow from node 10 to node 0:"
            },
            {
                "from": "gpt",
                "value": "19."
            }
        ]
    },
    {
        "id": "flow-hard-graph909",
        "image": "data/flow/graph_visual/hard/graph909.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 16 with capacity 14,\nan edge from node 0 to node 12 with capacity 8,\nan edge from node 0 to node 6 with capacity 17,\nan edge from node 1 to node 9 with capacity 18,\nan edge from node 1 to node 10 with capacity 7,\nan edge from node 1 to node 12 with capacity 17,\nan edge from node 2 to node 9 with capacity 3,\nan edge from node 2 to node 10 with capacity 15,\nan edge from node 2 to node 3 with capacity 15,\nan edge from node 2 to node 8 with capacity 13,\nan edge from node 3 to node 17 with capacity 17,\nan edge from node 3 to node 2 with capacity 17,\nan edge from node 3 to node 1 with capacity 6,\nan edge from node 3 to node 6 with capacity 4,\nan edge from node 3 to node 13 with capacity 18,\nan edge from node 4 to node 12 with capacity 19,\nan edge from node 4 to node 7 with capacity 3,\nan edge from node 4 to node 8 with capacity 10,\nan edge from node 5 to node 4 with capacity 5,\nan edge from node 5 to node 1 with capacity 16,\nan edge from node 5 to node 16 with capacity 10,\nan edge from node 5 to node 0 with capacity 1,\nan edge from node 5 to node 6 with capacity 14,\nan edge from node 6 to node 5 with capacity 7,\nan edge from node 6 to node 10 with capacity 5,\nan edge from node 6 to node 8 with capacity 20,\nan edge from node 7 to node 17 with capacity 12,\nan edge from node 7 to node 0 with capacity 4,\nan edge from node 7 to node 11 with capacity 20,\nan edge from node 8 to node 9 with capacity 7,\nan edge from node 8 to node 5 with capacity 18,\nan edge from node 8 to node 10 with capacity 5,\nan edge from node 8 to node 11 with capacity 20,\nan edge from node 8 to node 13 with capacity 16,\nan edge from node 8 to node 7 with capacity 12,\nan edge from node 9 to node 17 with capacity 19,\nan edge from node 9 to node 1 with capacity 7,\nan edge from node 9 to node 15 with capacity 9,\nan edge from node 9 to node 13 with capacity 7,\nan edge from node 10 to node 5 with capacity 11,\nan edge from node 10 to node 15 with capacity 2,\nan edge from node 10 to node 7 with capacity 11,\nan edge from node 10 to node 8 with capacity 10,\nan edge from node 11 to node 5 with capacity 5,\nan edge from node 11 to node 10 with capacity 12,\nan edge from node 11 to node 16 with capacity 9,\nan edge from node 11 to node 0 with capacity 1,\nan edge from node 11 to node 8 with capacity 13,\nan edge from node 12 to node 9 with capacity 5,\nan edge from node 12 to node 4 with capacity 1,\nan edge from node 12 to node 10 with capacity 4,\nan edge from node 12 to node 1 with capacity 20,\nan edge from node 13 to node 17 with capacity 2,\nan edge from node 13 to node 1 with capacity 5,\nan edge from node 13 to node 16 with capacity 7,\nan edge from node 14 to node 9 with capacity 6,\nan edge from node 14 to node 17 with capacity 8,\nan edge from node 14 to node 2 with capacity 3,\nan edge from node 14 to node 0 with capacity 18,\nan edge from node 14 to node 8 with capacity 11,\nan edge from node 15 to node 17 with capacity 1,\nan edge from node 15 to node 10 with capacity 18,\nan edge from node 15 to node 1 with capacity 10,\nan edge from node 15 to node 6 with capacity 5,\nan edge from node 15 to node 11 with capacity 4,\nan edge from node 15 to node 13 with capacity 12,\nan edge from node 15 to node 7 with capacity 18,\nan edge from node 16 to node 1 with capacity 17,\nan edge from node 16 to node 15 with capacity 5,\nan edge from node 16 to node 13 with capacity 4,\nan edge from node 17 to node 16 with capacity 16,\nan edge from node 17 to node 12 with capacity 13,\nan edge from node 17 to node 14 with capacity 9,\nan edge from node 17 to node 11 with capacity 10,\nan edge from node 17 to node 7 with capacity 17,\nWhat is the maximum flow from node 8 to node 3:"
            },
            {
                "from": "gpt",
                "value": "3."
            }
        ]
    },
    {
        "id": "flow-hard-graph967",
        "image": "data/flow/graph_visual/hard/graph967.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 13 with capacity 12,\nan edge from node 0 to node 12 with capacity 10,\nan edge from node 0 to node 5 with capacity 1,\nan edge from node 0 to node 17 with capacity 16,\nan edge from node 0 to node 18 with capacity 20,\nan edge from node 1 to node 9 with capacity 8,\nan edge from node 1 to node 10 with capacity 9,\nan edge from node 2 to node 16 with capacity 16,\nan edge from node 2 to node 3 with capacity 15,\nan edge from node 2 to node 12 with capacity 4,\nan edge from node 2 to node 8 with capacity 6,\nan edge from node 2 to node 7 with capacity 18,\nan edge from node 2 to node 4 with capacity 19,\nan edge from node 3 to node 13 with capacity 4,\nan edge from node 3 to node 16 with capacity 17,\nan edge from node 3 to node 14 with capacity 7,\nan edge from node 3 to node 18 with capacity 15,\nan edge from node 3 to node 15 with capacity 4,\nan edge from node 3 to node 10 with capacity 7,\nan edge from node 4 to node 12 with capacity 15,\nan edge from node 4 to node 2 with capacity 5,\nan edge from node 4 to node 9 with capacity 5,\nan edge from node 4 to node 17 with capacity 2,\nan edge from node 5 to node 12 with capacity 4,\nan edge from node 5 to node 2 with capacity 8,\nan edge from node 5 to node 4 with capacity 3,\nan edge from node 6 to node 13 with capacity 1,\nan edge from node 6 to node 3 with capacity 20,\nan edge from node 6 to node 12 with capacity 15,\nan edge from node 6 to node 7 with capacity 17,\nan edge from node 6 to node 11 with capacity 15,\nan edge from node 7 to node 16 with capacity 1,\nan edge from node 7 to node 6 with capacity 13,\nan edge from node 7 to node 2 with capacity 17,\nan edge from node 7 to node 9 with capacity 14,\nan edge from node 7 to node 1 with capacity 5,\nan edge from node 7 to node 0 with capacity 13,\nan edge from node 7 to node 10 with capacity 18,\nan edge from node 8 to node 6 with capacity 3,\nan edge from node 8 to node 3 with capacity 4,\nan edge from node 8 to node 2 with capacity 14,\nan edge from node 8 to node 4 with capacity 19,\nan edge from node 9 to node 14 with capacity 9,\nan edge from node 9 to node 1 with capacity 8,\nan edge from node 9 to node 15 with capacity 5,\nan edge from node 10 to node 2 with capacity 8,\nan edge from node 10 to node 14 with capacity 6,\nan edge from node 10 to node 8 with capacity 20,\nan edge from node 10 to node 9 with capacity 8,\nan edge from node 10 to node 11 with capacity 10,\nan edge from node 11 to node 3 with capacity 3,\nan edge from node 11 to node 14 with capacity 20,\nan edge from node 11 to node 5 with capacity 17,\nan edge from node 12 to node 6 with capacity 15,\nan edge from node 12 to node 3 with capacity 3,\nan edge from node 12 to node 7 with capacity 9,\nan edge from node 12 to node 11 with capacity 13,\nan edge from node 12 to node 1 with capacity 15,\nan edge from node 12 to node 10 with capacity 2,\nan edge from node 13 to node 3 with capacity 1,\nan edge from node 13 to node 9 with capacity 15,\nan edge from node 13 to node 4 with capacity 2,\nan edge from node 13 to node 17 with capacity 10,\nan edge from node 14 to node 8 with capacity 8,\nan edge from node 14 to node 4 with capacity 19,\nan edge from node 14 to node 17 with capacity 6,\nan edge from node 15 to node 16 with capacity 15,\nan edge from node 15 to node 3 with capacity 4,\nan edge from node 15 to node 12 with capacity 4,\nan edge from node 15 to node 14 with capacity 7,\nan edge from node 15 to node 8 with capacity 15,\nan edge from node 15 to node 0 with capacity 13,\nan edge from node 16 to node 2 with capacity 17,\nan edge from node 16 to node 7 with capacity 16,\nan edge from node 16 to node 11 with capacity 20,\nan edge from node 16 to node 18 with capacity 17,\nan edge from node 16 to node 15 with capacity 10,\nan edge from node 17 to node 16 with capacity 1,\nan edge from node 17 to node 4 with capacity 16,\nan edge from node 17 to node 11 with capacity 18,\nan edge from node 17 to node 18 with capacity 10,\nan edge from node 17 to node 1 with capacity 13,\nan edge from node 18 to node 13 with capacity 14,\nan edge from node 18 to node 6 with capacity 4,\nan edge from node 18 to node 3 with capacity 15,\nan edge from node 18 to node 8 with capacity 8,\nan edge from node 18 to node 7 with capacity 17,\nWhat is the maximum flow from node 3 to node 5:"
            },
            {
                "from": "gpt",
                "value": "18."
            }
        ]
    },
    {
        "id": "flow-hard-graph836",
        "image": "data/flow/graph_visual/hard/graph836.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 5 with capacity 7,\nan edge from node 0 to node 13 with capacity 19,\nan edge from node 0 to node 14 with capacity 10,\nan edge from node 0 to node 8 with capacity 6,\nan edge from node 0 to node 11 with capacity 12,\nan edge from node 1 to node 9 with capacity 19,\nan edge from node 1 to node 5 with capacity 1,\nan edge from node 1 to node 10 with capacity 7,\nan edge from node 1 to node 8 with capacity 14,\nan edge from node 1 to node 3 with capacity 3,\nan edge from node 1 to node 2 with capacity 8,\nan edge from node 1 to node 12 with capacity 19,\nan edge from node 2 to node 6 with capacity 13,\nan edge from node 2 to node 5 with capacity 19,\nan edge from node 2 to node 10 with capacity 2,\nan edge from node 3 to node 6 with capacity 8,\nan edge from node 3 to node 5 with capacity 13,\nan edge from node 3 to node 8 with capacity 2,\nan edge from node 3 to node 12 with capacity 5,\nan edge from node 3 to node 11 with capacity 12,\nan edge from node 4 to node 9 with capacity 4,\nan edge from node 4 to node 13 with capacity 18,\nan edge from node 4 to node 1 with capacity 11,\nan edge from node 4 to node 10 with capacity 19,\nan edge from node 4 to node 15 with capacity 1,\nan edge from node 5 to node 9 with capacity 12,\nan edge from node 5 to node 7 with capacity 19,\nan edge from node 5 to node 8 with capacity 7,\nan edge from node 5 to node 16 with capacity 6,\nan edge from node 6 to node 5 with capacity 6,\nan edge from node 6 to node 14 with capacity 1,\nan edge from node 6 to node 16 with capacity 15,\nan edge from node 6 to node 2 with capacity 6,\nan edge from node 7 to node 3 with capacity 20,\nan edge from node 7 to node 0 with capacity 9,\nan edge from node 7 to node 12 with capacity 14,\nan edge from node 7 to node 11 with capacity 9,\nan edge from node 8 to node 13 with capacity 1,\nan edge from node 8 to node 0 with capacity 10,\nan edge from node 8 to node 4 with capacity 9,\nan edge from node 8 to node 11 with capacity 3,\nan edge from node 9 to node 13 with capacity 1,\nan edge from node 9 to node 16 with capacity 19,\nan edge from node 9 to node 11 with capacity 12,\nan edge from node 10 to node 5 with capacity 3,\nan edge from node 10 to node 3 with capacity 10,\nan edge from node 10 to node 15 with capacity 16,\nan edge from node 10 to node 4 with capacity 14,\nan edge from node 10 to node 12 with capacity 7,\nan edge from node 10 to node 11 with capacity 5,\nan edge from node 11 to node 6 with capacity 18,\nan edge from node 11 to node 14 with capacity 5,\nan edge from node 11 to node 16 with capacity 1,\nan edge from node 11 to node 4 with capacity 1,\nan edge from node 12 to node 5 with capacity 7,\nan edge from node 12 to node 1 with capacity 20,\nan edge from node 12 to node 16 with capacity 1,\nan edge from node 13 to node 5 with capacity 6,\nan edge from node 13 to node 7 with capacity 17,\nan edge from node 13 to node 10 with capacity 19,\nan edge from node 13 to node 16 with capacity 11,\nan edge from node 13 to node 0 with capacity 8,\nan edge from node 14 to node 12 with capacity 16,\nan edge from node 15 to node 1 with capacity 12,\nan edge from node 15 to node 3 with capacity 13,\nan edge from node 16 to node 10 with capacity 4,\nan edge from node 16 to node 4 with capacity 5,\nan edge from node 16 to node 12 with capacity 17,\nWhat is the maximum flow from node 11 to node 3:"
            },
            {
                "from": "gpt",
                "value": "25."
            }
        ]
    },
    {
        "id": "flow-hard-graph856",
        "image": "data/flow/graph_visual/hard/graph856.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 6 with capacity 9,\nan edge from node 0 to node 10 with capacity 5,\nan edge from node 0 to node 8 with capacity 7,\nan edge from node 0 to node 13 with capacity 11,\nan edge from node 0 to node 17 with capacity 19,\nan edge from node 0 to node 15 with capacity 6,\nan edge from node 0 to node 4 with capacity 10,\nan edge from node 1 to node 11 with capacity 14,\nan edge from node 1 to node 4 with capacity 14,\nan edge from node 2 to node 16 with capacity 2,\nan edge from node 2 to node 17 with capacity 9,\nan edge from node 2 to node 12 with capacity 9,\nan edge from node 2 to node 14 with capacity 3,\nan edge from node 3 to node 11 with capacity 6,\nan edge from node 3 to node 9 with capacity 15,\nan edge from node 3 to node 17 with capacity 17,\nan edge from node 3 to node 0 with capacity 7,\nan edge from node 3 to node 1 with capacity 4,\nan edge from node 4 to node 11 with capacity 6,\nan edge from node 4 to node 9 with capacity 1,\nan edge from node 5 to node 6 with capacity 18,\nan edge from node 5 to node 11 with capacity 19,\nan edge from node 5 to node 12 with capacity 8,\nan edge from node 5 to node 14 with capacity 1,\nan edge from node 6 to node 8 with capacity 20,\nan edge from node 6 to node 9 with capacity 10,\nan edge from node 6 to node 17 with capacity 4,\nan edge from node 6 to node 3 with capacity 13,\nan edge from node 6 to node 4 with capacity 9,\nan edge from node 7 to node 11 with capacity 20,\nan edge from node 7 to node 13 with capacity 5,\nan edge from node 7 to node 17 with capacity 17,\nan edge from node 7 to node 1 with capacity 12,\nan edge from node 8 to node 6 with capacity 17,\nan edge from node 8 to node 11 with capacity 10,\nan edge from node 8 to node 9 with capacity 5,\nan edge from node 8 to node 3 with capacity 14,\nan edge from node 8 to node 15 with capacity 19,\nan edge from node 8 to node 12 with capacity 13,\nan edge from node 8 to node 5 with capacity 15,\nan edge from node 8 to node 1 with capacity 2,\nan edge from node 9 to node 12 with capacity 3,\nan edge from node 9 to node 4 with capacity 13,\nan edge from node 10 to node 7 with capacity 10,\nan edge from node 10 to node 9 with capacity 2,\nan edge from node 10 to node 5 with capacity 14,\nan edge from node 10 to node 1 with capacity 1,\nan edge from node 10 to node 14 with capacity 13,\nan edge from node 11 to node 2 with capacity 12,\nan edge from node 11 to node 15 with capacity 12,\nan edge from node 11 to node 14 with capacity 14,\nan edge from node 12 to node 6 with capacity 17,\nan edge from node 12 to node 17 with capacity 18,\nan edge from node 12 to node 0 with capacity 6,\nan edge from node 12 to node 5 with capacity 19,\nan edge from node 12 to node 4 with capacity 3,\nan edge from node 12 to node 14 with capacity 12,\nan edge from node 13 to node 17 with capacity 8,\nan edge from node 13 to node 12 with capacity 3,\nan edge from node 13 to node 5 with capacity 12,\nan edge from node 14 to node 7 with capacity 15,\nan edge from node 14 to node 17 with capacity 1,\nan edge from node 14 to node 3 with capacity 16,\nan edge from node 14 to node 15 with capacity 6,\nan edge from node 15 to node 13 with capacity 20,\nan edge from node 15 to node 2 with capacity 3,\nan edge from node 15 to node 4 with capacity 14,\nan edge from node 16 to node 7 with capacity 5,\nan edge from node 16 to node 3 with capacity 14,\nan edge from node 16 to node 0 with capacity 10,\nan edge from node 16 to node 4 with capacity 3,\nan edge from node 17 to node 11 with capacity 13,\nWhat is the maximum flow from node 10 to node 9:"
            },
            {
                "from": "gpt",
                "value": "33."
            }
        ]
    },
    {
        "id": "flow-hard-graph309",
        "image": "data/flow/graph_visual/hard/graph309.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 5 with capacity 20,\nan edge from node 0 to node 6 with capacity 16,\nan edge from node 1 to node 0 with capacity 19,\nan edge from node 1 to node 7 with capacity 9,\nan edge from node 1 to node 6 with capacity 9,\nan edge from node 2 to node 7 with capacity 10,\nan edge from node 3 to node 11 with capacity 15,\nan edge from node 3 to node 1 with capacity 15,\nan edge from node 4 to node 8 with capacity 9,\nan edge from node 4 to node 12 with capacity 10,\nan edge from node 5 to node 0 with capacity 13,\nan edge from node 5 to node 10 with capacity 14,\nan edge from node 5 to node 6 with capacity 17,\nan edge from node 6 to node 0 with capacity 3,\nan edge from node 6 to node 2 with capacity 11,\nan edge from node 6 to node 11 with capacity 7,\nan edge from node 6 to node 9 with capacity 1,\nan edge from node 6 to node 1 with capacity 4,\nan edge from node 7 to node 11 with capacity 11,\nan edge from node 7 to node 10 with capacity 16,\nan edge from node 7 to node 9 with capacity 7,\nan edge from node 8 to node 4 with capacity 12,\nan edge from node 8 to node 2 with capacity 19,\nan edge from node 8 to node 7 with capacity 17,\nan edge from node 9 to node 5 with capacity 11,\nan edge from node 9 to node 2 with capacity 7,\nan edge from node 10 to node 5 with capacity 6,\nan edge from node 10 to node 0 with capacity 13,\nan edge from node 10 to node 8 with capacity 19,\nan edge from node 10 to node 11 with capacity 8,\nan edge from node 12 to node 10 with capacity 17,\nan edge from node 12 to node 9 with capacity 18,\nan edge from node 12 to node 1 with capacity 15,\nWhat is the maximum flow from node 1 to node 11:"
            },
            {
                "from": "gpt",
                "value": "26."
            }
        ]
    },
    {
        "id": "flow-hard-graph164",
        "image": "data/flow/graph_visual/hard/graph164.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 5 with capacity 6,\nan edge from node 1 to node 10 with capacity 3,\nan edge from node 1 to node 11 with capacity 20,\nan edge from node 1 to node 2 with capacity 11,\nan edge from node 1 to node 4 with capacity 1,\nan edge from node 2 to node 11 with capacity 3,\nan edge from node 3 to node 11 with capacity 5,\nan edge from node 3 to node 9 with capacity 12,\nan edge from node 3 to node 1 with capacity 15,\nan edge from node 3 to node 8 with capacity 11,\nan edge from node 3 to node 0 with capacity 19,\nan edge from node 4 to node 11 with capacity 16,\nan edge from node 4 to node 1 with capacity 18,\nan edge from node 4 to node 8 with capacity 9,\nan edge from node 5 to node 10 with capacity 12,\nan edge from node 5 to node 2 with capacity 3,\nan edge from node 6 to node 4 with capacity 5,\nan edge from node 6 to node 5 with capacity 20,\nan edge from node 7 to node 10 with capacity 10,\nan edge from node 7 to node 5 with capacity 8,\nan edge from node 8 to node 11 with capacity 17,\nan edge from node 8 to node 1 with capacity 2,\nan edge from node 8 to node 7 with capacity 6,\nan edge from node 8 to node 2 with capacity 2,\nan edge from node 8 to node 0 with capacity 12,\nan edge from node 9 to node 1 with capacity 18,\nan edge from node 9 to node 0 with capacity 17,\nan edge from node 10 to node 6 with capacity 3,\nan edge from node 10 to node 11 with capacity 13,\nan edge from node 10 to node 9 with capacity 17,\nan edge from node 10 to node 7 with capacity 11,\nan edge from node 10 to node 8 with capacity 18,\nan edge from node 11 to node 6 with capacity 16,\nan edge from node 11 to node 2 with capacity 10,\nWhat is the maximum flow from node 9 to node 1:"
            },
            {
                "from": "gpt",
                "value": "24."
            }
        ]
    },
    {
        "id": "flow-hard-graph1056",
        "image": "data/flow/graph_visual/hard/graph1056.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 12 with capacity 1,\nan edge from node 0 to node 15 with capacity 3,\nan edge from node 0 to node 7 with capacity 15,\nan edge from node 0 to node 17 with capacity 2,\nan edge from node 1 to node 13 with capacity 6,\nan edge from node 1 to node 11 with capacity 16,\nan edge from node 1 to node 12 with capacity 9,\nan edge from node 1 to node 18 with capacity 5,\nan edge from node 1 to node 4 with capacity 11,\nan edge from node 1 to node 7 with capacity 20,\nan edge from node 2 to node 3 with capacity 9,\nan edge from node 2 to node 12 with capacity 9,\nan edge from node 2 to node 18 with capacity 9,\nan edge from node 2 to node 7 with capacity 18,\nan edge from node 3 to node 2 with capacity 1,\nan edge from node 3 to node 17 with capacity 18,\nan edge from node 4 to node 3 with capacity 7,\nan edge from node 4 to node 12 with capacity 4,\nan edge from node 4 to node 14 with capacity 19,\nan edge from node 4 to node 6 with capacity 13,\nan edge from node 5 to node 3 with capacity 19,\nan edge from node 5 to node 6 with capacity 15,\nan edge from node 5 to node 4 with capacity 3,\nan edge from node 6 to node 3 with capacity 7,\nan edge from node 6 to node 13 with capacity 19,\nan edge from node 6 to node 12 with capacity 19,\nan edge from node 6 to node 10 with capacity 4,\nan edge from node 6 to node 17 with capacity 15,\nan edge from node 7 to node 11 with capacity 8,\nan edge from node 7 to node 12 with capacity 1,\nan edge from node 7 to node 18 with capacity 15,\nan edge from node 7 to node 5 with capacity 19,\nan edge from node 7 to node 16 with capacity 2,\nan edge from node 8 to node 9 with capacity 19,\nan edge from node 8 to node 18 with capacity 16,\nan edge from node 8 to node 10 with capacity 12,\nan edge from node 8 to node 5 with capacity 9,\nan edge from node 8 to node 16 with capacity 4,\nan edge from node 9 to node 1 with capacity 8,\nan edge from node 9 to node 15 with capacity 18,\nan edge from node 9 to node 6 with capacity 9,\nan edge from node 9 to node 4 with capacity 15,\nan edge from node 10 to node 1 with capacity 15,\nan edge from node 10 to node 5 with capacity 15,\nan edge from node 10 to node 7 with capacity 7,\nan edge from node 11 to node 3 with capacity 11,\nan edge from node 11 to node 12 with capacity 12,\nan edge from node 11 to node 0 with capacity 7,\nan edge from node 11 to node 4 with capacity 13,\nan edge from node 12 to node 3 with capacity 16,\nan edge from node 12 to node 14 with capacity 8,\nan edge from node 12 to node 10 with capacity 18,\nan edge from node 12 to node 6 with capacity 3,\nan edge from node 12 to node 0 with capacity 18,\nan edge from node 12 to node 4 with capacity 9,\nan edge from node 12 to node 17 with capacity 17,\nan edge from node 13 to node 12 with capacity 6,\nan edge from node 13 to node 18 with capacity 13,\nan edge from node 13 to node 14 with capacity 20,\nan edge from node 13 to node 5 with capacity 6,\nan edge from node 13 to node 4 with capacity 13,\nan edge from node 13 to node 2 with capacity 11,\nan edge from node 14 to node 12 with capacity 3,\nan edge from node 14 to node 5 with capacity 14,\nan edge from node 14 to node 15 with capacity 20,\nan edge from node 14 to node 0 with capacity 11,\nan edge from node 14 to node 4 with capacity 2,\nan edge from node 14 to node 2 with capacity 2,\nan edge from node 15 to node 13 with capacity 3,\nan edge from node 15 to node 12 with capacity 2,\nan edge from node 15 to node 0 with capacity 3,\nan edge from node 16 to node 10 with capacity 11,\nan edge from node 16 to node 6 with capacity 4,\nan edge from node 16 to node 0 with capacity 9,\nan edge from node 16 to node 4 with capacity 8,\nan edge from node 17 to node 1 with capacity 1,\nan edge from node 17 to node 9 with capacity 13,\nan edge from node 17 to node 14 with capacity 15,\nan edge from node 17 to node 10 with capacity 15,\nan edge from node 17 to node 6 with capacity 3,\nan edge from node 17 to node 7 with capacity 16,\nan edge from node 17 to node 2 with capacity 3,\nan edge from node 18 to node 9 with capacity 3,\nan edge from node 18 to node 12 with capacity 8,\nan edge from node 18 to node 8 with capacity 8,\nan edge from node 18 to node 10 with capacity 2,\nan edge from node 18 to node 6 with capacity 20,\nan edge from node 18 to node 16 with capacity 15,\nan edge from node 18 to node 7 with capacity 15,\nan edge from node 18 to node 2 with capacity 9,\nWhat is the maximum flow from node 7 to node 8:"
            },
            {
                "from": "gpt",
                "value": "8."
            }
        ]
    },
    {
        "id": "flow-hard-graph532",
        "image": "data/flow/graph_visual/hard/graph532.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 8 with capacity 9,\nan edge from node 0 to node 12 with capacity 12,\nan edge from node 0 to node 10 with capacity 10,\nan edge from node 1 to node 6 with capacity 18,\nan edge from node 1 to node 8 with capacity 11,\nan edge from node 1 to node 12 with capacity 20,\nan edge from node 1 to node 0 with capacity 14,\nan edge from node 2 to node 8 with capacity 20,\nan edge from node 2 to node 7 with capacity 3,\nan edge from node 2 to node 5 with capacity 2,\nan edge from node 2 to node 4 with capacity 16,\nan edge from node 2 to node 10 with capacity 7,\nan edge from node 3 to node 8 with capacity 10,\nan edge from node 3 to node 7 with capacity 10,\nan edge from node 3 to node 4 with capacity 13,\nan edge from node 3 to node 10 with capacity 10,\nan edge from node 4 to node 6 with capacity 9,\nan edge from node 4 to node 8 with capacity 15,\nan edge from node 4 to node 14 with capacity 19,\nan edge from node 4 to node 10 with capacity 14,\nan edge from node 4 to node 1 with capacity 8,\nan edge from node 5 to node 14 with capacity 8,\nan edge from node 5 to node 13 with capacity 3,\nan edge from node 5 to node 10 with capacity 6,\nan edge from node 6 to node 8 with capacity 4,\nan edge from node 6 to node 13 with capacity 13,\nan edge from node 7 to node 13 with capacity 9,\nan edge from node 8 to node 12 with capacity 20,\nan edge from node 8 to node 5 with capacity 18,\nan edge from node 8 to node 4 with capacity 1,\nan edge from node 8 to node 9 with capacity 16,\nan edge from node 9 to node 5 with capacity 15,\nan edge from node 9 to node 3 with capacity 1,\nan edge from node 9 to node 11 with capacity 12,\nan edge from node 9 to node 13 with capacity 1,\nan edge from node 10 to node 14 with capacity 11,\nan edge from node 10 to node 7 with capacity 1,\nan edge from node 10 to node 12 with capacity 17,\nan edge from node 10 to node 5 with capacity 7,\nan edge from node 11 to node 6 with capacity 5,\nan edge from node 11 to node 12 with capacity 1,\nan edge from node 11 to node 10 with capacity 4,\nan edge from node 12 to node 6 with capacity 15,\nan edge from node 12 to node 7 with capacity 14,\nan edge from node 12 to node 5 with capacity 7,\nan edge from node 12 to node 2 with capacity 12,\nan edge from node 12 to node 4 with capacity 3,\nan edge from node 12 to node 10 with capacity 3,\nan edge from node 13 to node 8 with capacity 15,\nan edge from node 13 to node 11 with capacity 7,\nan edge from node 14 to node 12 with capacity 18,\nan edge from node 14 to node 2 with capacity 5,\nan edge from node 14 to node 3 with capacity 13,\nan edge from node 14 to node 11 with capacity 13,\nan edge from node 14 to node 13 with capacity 11,\nWhat is the maximum flow from node 8 to node 4:"
            },
            {
                "from": "gpt",
                "value": "33."
            }
        ]
    },
    {
        "id": "flow-hard-graph338",
        "image": "data/flow/graph_visual/hard/graph338.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 5 with capacity 20,\nan edge from node 0 to node 1 with capacity 14,\nan edge from node 0 to node 11 with capacity 6,\nan edge from node 0 to node 9 with capacity 10,\nan edge from node 1 to node 0 with capacity 4,\nan edge from node 2 to node 5 with capacity 18,\nan edge from node 2 to node 10 with capacity 18,\nan edge from node 2 to node 11 with capacity 19,\nan edge from node 2 to node 9 with capacity 15,\nan edge from node 3 to node 1 with capacity 1,\nan edge from node 4 to node 2 with capacity 15,\nan edge from node 4 to node 6 with capacity 15,\nan edge from node 4 to node 3 with capacity 20,\nan edge from node 5 to node 11 with capacity 17,\nan edge from node 5 to node 6 with capacity 10,\nan edge from node 6 to node 7 with capacity 6,\nan edge from node 6 to node 0 with capacity 13,\nan edge from node 7 to node 12 with capacity 4,\nan edge from node 7 to node 3 with capacity 6,\nan edge from node 8 to node 7 with capacity 8,\nan edge from node 8 to node 4 with capacity 9,\nan edge from node 8 to node 5 with capacity 11,\nan edge from node 8 to node 11 with capacity 14,\nan edge from node 8 to node 2 with capacity 16,\nan edge from node 8 to node 0 with capacity 16,\nan edge from node 9 to node 7 with capacity 14,\nan edge from node 9 to node 2 with capacity 16,\nan edge from node 9 to node 12 with capacity 13,\nan edge from node 9 to node 3 with capacity 14,\nan edge from node 10 to node 8 with capacity 15,\nan edge from node 11 to node 5 with capacity 4,\nan edge from node 11 to node 10 with capacity 6,\nan edge from node 11 to node 12 with capacity 11,\nan edge from node 11 to node 3 with capacity 17,\nan edge from node 12 to node 7 with capacity 10,\nan edge from node 12 to node 1 with capacity 8,\nan edge from node 12 to node 11 with capacity 1,\nWhat is the maximum flow from node 4 to node 9:"
            },
            {
                "from": "gpt",
                "value": "25."
            }
        ]
    },
    {
        "id": "flow-hard-graph393",
        "image": "data/flow/graph_visual/hard/graph393.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 5 with capacity 3,\nan edge from node 0 to node 13 with capacity 4,\nan edge from node 0 to node 4 with capacity 3,\nan edge from node 1 to node 2 with capacity 17,\nan edge from node 1 to node 3 with capacity 5,\nan edge from node 1 to node 12 with capacity 9,\nan edge from node 2 to node 6 with capacity 1,\nan edge from node 2 to node 1 with capacity 5,\nan edge from node 3 to node 6 with capacity 1,\nan edge from node 3 to node 7 with capacity 18,\nan edge from node 3 to node 11 with capacity 18,\nan edge from node 3 to node 10 with capacity 16,\nan edge from node 4 to node 0 with capacity 1,\nan edge from node 4 to node 2 with capacity 6,\nan edge from node 4 to node 11 with capacity 11,\nan edge from node 5 to node 7 with capacity 7,\nan edge from node 5 to node 4 with capacity 15,\nan edge from node 6 to node 0 with capacity 7,\nan edge from node 6 to node 2 with capacity 9,\nan edge from node 6 to node 7 with capacity 18,\nan edge from node 6 to node 1 with capacity 17,\nan edge from node 6 to node 9 with capacity 5,\nan edge from node 6 to node 12 with capacity 5,\nan edge from node 7 to node 0 with capacity 12,\nan edge from node 7 to node 5 with capacity 20,\nan edge from node 7 to node 13 with capacity 11,\nan edge from node 7 to node 6 with capacity 5,\nan edge from node 7 to node 11 with capacity 18,\nan edge from node 7 to node 9 with capacity 9,\nan edge from node 7 to node 10 with capacity 3,\nan edge from node 8 to node 10 with capacity 9,\nan edge from node 8 to node 12 with capacity 19,\nan edge from node 9 to node 5 with capacity 2,\nan edge from node 9 to node 4 with capacity 6,\nan edge from node 10 to node 7 with capacity 5,\nan edge from node 10 to node 11 with capacity 19,\nan edge from node 11 to node 5 with capacity 17,\nan edge from node 11 to node 8 with capacity 19,\nan edge from node 11 to node 12 with capacity 1,\nan edge from node 12 to node 5 with capacity 13,\nan edge from node 12 to node 11 with capacity 2,\nan edge from node 12 to node 4 with capacity 6,\nan edge from node 13 to node 5 with capacity 18,\nan edge from node 13 to node 7 with capacity 13,\nan edge from node 13 to node 9 with capacity 3,\nWhat is the maximum flow from node 11 to node 5:"
            },
            {
                "from": "gpt",
                "value": "37."
            }
        ]
    },
    {
        "id": "flow-hard-graph437",
        "image": "data/flow/graph_visual/hard/graph437.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 12 with capacity 17,\nan edge from node 0 to node 8 with capacity 7,\nan edge from node 0 to node 2 with capacity 12,\nan edge from node 0 to node 7 with capacity 15,\nan edge from node 0 to node 9 with capacity 3,\nan edge from node 0 to node 13 with capacity 18,\nan edge from node 0 to node 6 with capacity 18,\nan edge from node 1 to node 4 with capacity 20,\nan edge from node 1 to node 11 with capacity 5,\nan edge from node 1 to node 0 with capacity 4,\nan edge from node 1 to node 3 with capacity 1,\nan edge from node 2 to node 9 with capacity 6,\nan edge from node 2 to node 3 with capacity 2,\nan edge from node 2 to node 13 with capacity 17,\nan edge from node 2 to node 1 with capacity 1,\nan edge from node 3 to node 12 with capacity 15,\nan edge from node 3 to node 8 with capacity 9,\nan edge from node 3 to node 9 with capacity 1,\nan edge from node 4 to node 0 with capacity 4,\nan edge from node 5 to node 11 with capacity 11,\nan edge from node 5 to node 8 with capacity 1,\nan edge from node 5 to node 9 with capacity 11,\nan edge from node 6 to node 4 with capacity 20,\nan edge from node 6 to node 10 with capacity 8,\nan edge from node 6 to node 1 with capacity 1,\nan edge from node 7 to node 4 with capacity 2,\nan edge from node 7 to node 10 with capacity 14,\nan edge from node 7 to node 9 with capacity 9,\nan edge from node 8 to node 2 with capacity 10,\nan edge from node 9 to node 4 with capacity 12,\nan edge from node 9 to node 13 with capacity 19,\nan edge from node 10 to node 12 with capacity 7,\nan edge from node 10 to node 11 with capacity 3,\nan edge from node 10 to node 0 with capacity 19,\nan edge from node 10 to node 13 with capacity 14,\nan edge from node 12 to node 2 with capacity 16,\nan edge from node 12 to node 10 with capacity 8,\nan edge from node 12 to node 3 with capacity 3,\nan edge from node 12 to node 6 with capacity 1,\nan edge from node 13 to node 11 with capacity 5,\nan edge from node 13 to node 0 with capacity 11,\nan edge from node 13 to node 3 with capacity 7,\nan edge from node 13 to node 6 with capacity 9,\nWhat is the maximum flow from node 12 to node 3:"
            },
            {
                "from": "gpt",
                "value": "13."
            }
        ]
    },
    {
        "id": "flow-hard-graph1031",
        "image": "data/flow/graph_visual/hard/graph1031.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 15 with capacity 4,\nan edge from node 0 to node 16 with capacity 6,\nan edge from node 0 to node 9 with capacity 15,\nan edge from node 0 to node 4 with capacity 9,\nan edge from node 1 to node 6 with capacity 12,\nan edge from node 1 to node 0 with capacity 19,\nan edge from node 1 to node 5 with capacity 8,\nan edge from node 1 to node 7 with capacity 9,\nan edge from node 1 to node 13 with capacity 2,\nan edge from node 1 to node 14 with capacity 1,\nan edge from node 2 to node 1 with capacity 4,\nan edge from node 2 to node 15 with capacity 6,\nan edge from node 2 to node 0 with capacity 9,\nan edge from node 2 to node 12 with capacity 12,\nan edge from node 3 to node 9 with capacity 16,\nan edge from node 3 to node 0 with capacity 16,\nan edge from node 3 to node 5 with capacity 19,\nan edge from node 3 to node 4 with capacity 15,\nan edge from node 3 to node 13 with capacity 14,\nan edge from node 3 to node 12 with capacity 14,\nan edge from node 4 to node 10 with capacity 15,\nan edge from node 4 to node 9 with capacity 18,\nan edge from node 4 to node 0 with capacity 19,\nan edge from node 4 to node 13 with capacity 20,\nan edge from node 5 to node 17 with capacity 17,\nan edge from node 5 to node 4 with capacity 18,\nan edge from node 5 to node 7 with capacity 1,\nan edge from node 5 to node 13 with capacity 15,\nan edge from node 5 to node 3 with capacity 19,\nan edge from node 5 to node 18 with capacity 3,\nan edge from node 6 to node 2 with capacity 16,\nan edge from node 6 to node 9 with capacity 15,\nan edge from node 6 to node 5 with capacity 17,\nan edge from node 6 to node 13 with capacity 1,\nan edge from node 6 to node 14 with capacity 6,\nan edge from node 6 to node 12 with capacity 9,\nan edge from node 7 to node 16 with capacity 19,\nan edge from node 7 to node 2 with capacity 19,\nan edge from node 7 to node 0 with capacity 12,\nan edge from node 7 to node 12 with capacity 6,\nan edge from node 7 to node 11 with capacity 8,\nan edge from node 8 to node 9 with capacity 7,\nan edge from node 8 to node 0 with capacity 13,\nan edge from node 8 to node 5 with capacity 11,\nan edge from node 8 to node 18 with capacity 6,\nan edge from node 8 to node 11 with capacity 1,\nan edge from node 9 to node 10 with capacity 12,\nan edge from node 9 to node 8 with capacity 9,\nan edge from node 9 to node 5 with capacity 1,\nan edge from node 9 to node 17 with capacity 17,\nan edge from node 9 to node 11 with capacity 5,\nan edge from node 10 to node 1 with capacity 12,\nan edge from node 10 to node 8 with capacity 16,\nan edge from node 10 to node 3 with capacity 20,\nan edge from node 11 to node 1 with capacity 17,\nan edge from node 11 to node 16 with capacity 13,\nan edge from node 11 to node 6 with capacity 14,\nan edge from node 11 to node 10 with capacity 15,\nan edge from node 11 to node 0 with capacity 20,\nan edge from node 11 to node 4 with capacity 12,\nan edge from node 12 to node 16 with capacity 2,\nan edge from node 12 to node 6 with capacity 16,\nan edge from node 12 to node 2 with capacity 6,\nan edge from node 12 to node 17 with capacity 10,\nan edge from node 12 to node 18 with capacity 12,\nan edge from node 12 to node 11 with capacity 18,\nan edge from node 13 to node 1 with capacity 15,\nan edge from node 13 to node 6 with capacity 20,\nan edge from node 13 to node 0 with capacity 11,\nan edge from node 13 to node 17 with capacity 18,\nan edge from node 13 to node 3 with capacity 11,\nan edge from node 13 to node 11 with capacity 4,\nan edge from node 14 to node 3 with capacity 19,\nan edge from node 15 to node 5 with capacity 14,\nan edge from node 15 to node 17 with capacity 9,\nan edge from node 15 to node 14 with capacity 8,\nan edge from node 15 to node 3 with capacity 12,\nan edge from node 16 to node 0 with capacity 1,\nan edge from node 16 to node 17 with capacity 14,\nan edge from node 17 to node 6 with capacity 6,\nan edge from node 17 to node 9 with capacity 11,\nan edge from node 17 to node 5 with capacity 4,\nan edge from node 17 to node 4 with capacity 2,\nan edge from node 18 to node 10 with capacity 15,\nan edge from node 18 to node 9 with capacity 5,\nan edge from node 18 to node 7 with capacity 2,\nan edge from node 18 to node 13 with capacity 12,\nWhat is the maximum flow from node 5 to node 4:"
            },
            {
                "from": "gpt",
                "value": "56."
            }
        ]
    },
    {
        "id": "flow-hard-graph96",
        "image": "data/flow/graph_visual/hard/graph96.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 6 with capacity 11,\nan edge from node 0 to node 7 with capacity 6,\nan edge from node 1 to node 0 with capacity 15,\nan edge from node 1 to node 10 with capacity 6,\nan edge from node 2 to node 5 with capacity 2,\nan edge from node 2 to node 9 with capacity 4,\nan edge from node 2 to node 4 with capacity 3,\nan edge from node 2 to node 1 with capacity 10,\nan edge from node 3 to node 5 with capacity 2,\nan edge from node 3 to node 6 with capacity 5,\nan edge from node 3 to node 4 with capacity 14,\nan edge from node 4 to node 6 with capacity 20,\nan edge from node 4 to node 1 with capacity 20,\nan edge from node 4 to node 10 with capacity 10,\nan edge from node 5 to node 0 with capacity 1,\nan edge from node 5 to node 7 with capacity 8,\nan edge from node 5 to node 2 with capacity 9,\nan edge from node 6 to node 3 with capacity 10,\nan edge from node 6 to node 1 with capacity 2,\nan edge from node 7 to node 9 with capacity 14,\nan edge from node 8 to node 3 with capacity 20,\nan edge from node 8 to node 7 with capacity 5,\nan edge from node 8 to node 9 with capacity 20,\nan edge from node 9 to node 2 with capacity 16,\nan edge from node 9 to node 10 with capacity 10,\nan edge from node 10 to node 8 with capacity 11,\nWhat is the maximum flow from node 3 to node 5:"
            },
            {
                "from": "gpt",
                "value": "4."
            }
        ]
    },
    {
        "id": "flow-hard-graph233",
        "image": "data/flow/graph_visual/hard/graph233.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 5 with capacity 7,\nan edge from node 0 to node 7 with capacity 8,\nan edge from node 0 to node 11 with capacity 13,\nan edge from node 0 to node 9 with capacity 2,\nan edge from node 0 to node 10 with capacity 4,\nan edge from node 1 to node 4 with capacity 9,\nan edge from node 1 to node 5 with capacity 9,\nan edge from node 1 to node 8 with capacity 2,\nan edge from node 1 to node 11 with capacity 11,\nan edge from node 2 to node 8 with capacity 18,\nan edge from node 2 to node 0 with capacity 19,\nan edge from node 3 to node 11 with capacity 17,\nan edge from node 4 to node 0 with capacity 11,\nan edge from node 4 to node 9 with capacity 7,\nan edge from node 4 to node 2 with capacity 2,\nan edge from node 5 to node 4 with capacity 2,\nan edge from node 5 to node 2 with capacity 5,\nan edge from node 6 to node 8 with capacity 15,\nan edge from node 6 to node 0 with capacity 4,\nan edge from node 6 to node 10 with capacity 9,\nan edge from node 8 to node 1 with capacity 7,\nan edge from node 8 to node 11 with capacity 9,\nan edge from node 8 to node 0 with capacity 8,\nan edge from node 9 to node 1 with capacity 8,\nan edge from node 10 to node 1 with capacity 9,\nan edge from node 10 to node 11 with capacity 9,\nan edge from node 11 to node 4 with capacity 18,\nan edge from node 11 to node 2 with capacity 13,\nan edge from node 11 to node 10 with capacity 19,\nWhat is the maximum flow from node 4 to node 7:"
            },
            {
                "from": "gpt",
                "value": "8."
            }
        ]
    },
    {
        "id": "flow-hard-graph677",
        "image": "data/flow/graph_visual/hard/graph677.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 3 with capacity 3,\nan edge from node 0 to node 4 with capacity 16,\nan edge from node 1 to node 4 with capacity 6,\nan edge from node 1 to node 15 with capacity 16,\nan edge from node 1 to node 5 with capacity 9,\nan edge from node 1 to node 10 with capacity 6,\nan edge from node 2 to node 8 with capacity 2,\nan edge from node 2 to node 6 with capacity 9,\nan edge from node 2 to node 13 with capacity 20,\nan edge from node 3 to node 2 with capacity 11,\nan edge from node 3 to node 0 with capacity 10,\nan edge from node 3 to node 13 with capacity 11,\nan edge from node 4 to node 11 with capacity 10,\nan edge from node 4 to node 10 with capacity 8,\nan edge from node 4 to node 6 with capacity 15,\nan edge from node 4 to node 9 with capacity 20,\nan edge from node 5 to node 4 with capacity 11,\nan edge from node 5 to node 0 with capacity 13,\nan edge from node 6 to node 4 with capacity 4,\nan edge from node 6 to node 12 with capacity 6,\nan edge from node 6 to node 1 with capacity 13,\nan edge from node 7 to node 10 with capacity 17,\nan edge from node 8 to node 3 with capacity 1,\nan edge from node 8 to node 10 with capacity 19,\nan edge from node 8 to node 0 with capacity 17,\nan edge from node 9 to node 4 with capacity 10,\nan edge from node 10 to node 3 with capacity 6,\nan edge from node 10 to node 12 with capacity 1,\nan edge from node 10 to node 5 with capacity 12,\nan edge from node 11 to node 4 with capacity 9,\nan edge from node 11 to node 15 with capacity 4,\nan edge from node 11 to node 2 with capacity 6,\nan edge from node 11 to node 5 with capacity 3,\nan edge from node 11 to node 9 with capacity 9,\nan edge from node 12 to node 9 with capacity 7,\nan edge from node 12 to node 1 with capacity 7,\nan edge from node 13 to node 8 with capacity 2,\nan edge from node 13 to node 1 with capacity 19,\nan edge from node 14 to node 5 with capacity 8,\nan edge from node 14 to node 10 with capacity 4,\nan edge from node 14 to node 6 with capacity 13,\nan edge from node 15 to node 11 with capacity 14,\nan edge from node 15 to node 12 with capacity 2,\nan edge from node 15 to node 13 with capacity 8,\nWhat is the maximum flow from node 14 to node 12:"
            },
            {
                "from": "gpt",
                "value": "9."
            }
        ]
    },
    {
        "id": "flow-hard-graph733",
        "image": "data/flow/graph_visual/hard/graph733.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 12 with capacity 18,\nan edge from node 0 to node 16 with capacity 13,\nan edge from node 0 to node 2 with capacity 2,\nan edge from node 1 to node 15 with capacity 20,\nan edge from node 1 to node 4 with capacity 7,\nan edge from node 1 to node 5 with capacity 2,\nan edge from node 1 to node 12 with capacity 16,\nan edge from node 1 to node 11 with capacity 18,\nan edge from node 1 to node 0 with capacity 7,\nan edge from node 2 to node 13 with capacity 16,\nan edge from node 2 to node 10 with capacity 9,\nan edge from node 2 to node 6 with capacity 16,\nan edge from node 2 to node 16 with capacity 9,\nan edge from node 3 to node 0 with capacity 11,\nan edge from node 4 to node 7 with capacity 18,\nan edge from node 4 to node 12 with capacity 2,\nan edge from node 4 to node 1 with capacity 16,\nan edge from node 4 to node 0 with capacity 12,\nan edge from node 4 to node 2 with capacity 5,\nan edge from node 5 to node 15 with capacity 6,\nan edge from node 5 to node 3 with capacity 5,\nan edge from node 5 to node 2 with capacity 17,\nan edge from node 6 to node 15 with capacity 17,\nan edge from node 6 to node 7 with capacity 8,\nan edge from node 6 to node 10 with capacity 5,\nan edge from node 6 to node 5 with capacity 3,\nan edge from node 6 to node 12 with capacity 3,\nan edge from node 7 to node 15 with capacity 1,\nan edge from node 7 to node 3 with capacity 12,\nan edge from node 7 to node 4 with capacity 5,\nan edge from node 7 to node 8 with capacity 12,\nan edge from node 8 to node 3 with capacity 15,\nan edge from node 8 to node 11 with capacity 16,\nan edge from node 8 to node 1 with capacity 2,\nan edge from node 9 to node 13 with capacity 14,\nan edge from node 9 to node 3 with capacity 14,\nan edge from node 9 to node 1 with capacity 17,\nan edge from node 9 to node 14 with capacity 2,\nan edge from node 10 to node 13 with capacity 9,\nan edge from node 10 to node 5 with capacity 16,\nan edge from node 10 to node 16 with capacity 20,\nan edge from node 10 to node 1 with capacity 8,\nan edge from node 10 to node 0 with capacity 13,\nan edge from node 11 to node 6 with capacity 10,\nan edge from node 11 to node 5 with capacity 19,\nan edge from node 11 to node 1 with capacity 19,\nan edge from node 11 to node 14 with capacity 4,\nan edge from node 12 to node 15 with capacity 13,\nan edge from node 12 to node 7 with capacity 19,\nan edge from node 12 to node 3 with capacity 4,\nan edge from node 12 to node 9 with capacity 8,\nan edge from node 13 to node 10 with capacity 2,\nan edge from node 13 to node 4 with capacity 15,\nan edge from node 14 to node 7 with capacity 3,\nan edge from node 14 to node 4 with capacity 13,\nan edge from node 14 to node 12 with capacity 5,\nan edge from node 14 to node 9 with capacity 13,\nan edge from node 14 to node 8 with capacity 12,\nan edge from node 14 to node 11 with capacity 1,\nan edge from node 14 to node 2 with capacity 11,\nan edge from node 15 to node 10 with capacity 11,\nan edge from node 15 to node 5 with capacity 5,\nan edge from node 15 to node 1 with capacity 7,\nan edge from node 16 to node 1 with capacity 5,\nan edge from node 16 to node 0 with capacity 8,\nan edge from node 16 to node 2 with capacity 19,\nWhat is the maximum flow from node 8 to node 11:"
            },
            {
                "from": "gpt",
                "value": "29."
            }
        ]
    },
    {
        "id": "flow-hard-graph976",
        "image": "data/flow/graph_visual/hard/graph976.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 16 with capacity 11,\nan edge from node 0 to node 7 with capacity 20,\nan edge from node 0 to node 17 with capacity 7,\nan edge from node 0 to node 6 with capacity 10,\nan edge from node 1 to node 18 with capacity 15,\nan edge from node 1 to node 16 with capacity 19,\nan edge from node 1 to node 10 with capacity 16,\nan edge from node 1 to node 4 with capacity 13,\nan edge from node 1 to node 3 with capacity 19,\nan edge from node 1 to node 13 with capacity 20,\nan edge from node 2 to node 18 with capacity 14,\nan edge from node 2 to node 15 with capacity 1,\nan edge from node 2 to node 16 with capacity 2,\nan edge from node 2 to node 5 with capacity 8,\nan edge from node 3 to node 16 with capacity 19,\nan edge from node 3 to node 8 with capacity 17,\nan edge from node 3 to node 11 with capacity 5,\nan edge from node 3 to node 17 with capacity 7,\nan edge from node 3 to node 13 with capacity 1,\nan edge from node 3 to node 9 with capacity 5,\nan edge from node 4 to node 18 with capacity 6,\nan edge from node 4 to node 8 with capacity 7,\nan edge from node 4 to node 12 with capacity 11,\nan edge from node 4 to node 14 with capacity 3,\nan edge from node 4 to node 1 with capacity 5,\nan edge from node 5 to node 4 with capacity 8,\nan edge from node 5 to node 12 with capacity 16,\nan edge from node 5 to node 17 with capacity 4,\nan edge from node 5 to node 9 with capacity 17,\nan edge from node 6 to node 15 with capacity 16,\nan edge from node 6 to node 5 with capacity 2,\nan edge from node 6 to node 13 with capacity 20,\nan edge from node 7 to node 2 with capacity 16,\nan edge from node 7 to node 15 with capacity 14,\nan edge from node 7 to node 4 with capacity 13,\nan edge from node 7 to node 12 with capacity 11,\nan edge from node 7 to node 1 with capacity 16,\nan edge from node 8 to node 16 with capacity 6,\nan edge from node 8 to node 0 with capacity 13,\nan edge from node 8 to node 10 with capacity 4,\nan edge from node 8 to node 3 with capacity 16,\nan edge from node 8 to node 17 with capacity 6,\nan edge from node 8 to node 1 with capacity 8,\nan edge from node 8 to node 9 with capacity 6,\nan edge from node 9 to node 2 with capacity 6,\nan edge from node 9 to node 0 with capacity 18,\nan edge from node 10 to node 18 with capacity 2,\nan edge from node 10 to node 15 with capacity 4,\nan edge from node 10 to node 0 with capacity 11,\nan edge from node 10 to node 5 with capacity 14,\nan edge from node 10 to node 7 with capacity 13,\nan edge from node 10 to node 12 with capacity 19,\nan edge from node 10 to node 17 with capacity 3,\nan edge from node 11 to node 7 with capacity 12,\nan edge from node 11 to node 8 with capacity 12,\nan edge from node 11 to node 14 with capacity 20,\nan edge from node 11 to node 6 with capacity 5,\nan edge from node 12 to node 18 with capacity 18,\nan edge from node 12 to node 7 with capacity 4,\nan edge from node 12 to node 8 with capacity 9,\nan edge from node 12 to node 3 with capacity 20,\nan edge from node 12 to node 11 with capacity 10,\nan edge from node 12 to node 14 with capacity 12,\nan edge from node 13 to node 2 with capacity 7,\nan edge from node 13 to node 0 with capacity 20,\nan edge from node 13 to node 12 with capacity 7,\nan edge from node 13 to node 3 with capacity 15,\nan edge from node 13 to node 14 with capacity 4,\nan edge from node 13 to node 9 with capacity 1,\nan edge from node 14 to node 15 with capacity 12,\nan edge from node 14 to node 0 with capacity 15,\nan edge from node 14 to node 12 with capacity 20,\nan edge from node 14 to node 13 with capacity 6,\nan edge from node 15 to node 12 with capacity 20,\nan edge from node 15 to node 17 with capacity 2,\nan edge from node 15 to node 13 with capacity 1,\nan edge from node 16 to node 5 with capacity 5,\nan edge from node 16 to node 7 with capacity 4,\nan edge from node 16 to node 4 with capacity 4,\nan edge from node 16 to node 3 with capacity 10,\nan edge from node 16 to node 11 with capacity 14,\nan edge from node 16 to node 17 with capacity 16,\nan edge from node 16 to node 14 with capacity 7,\nan edge from node 17 to node 0 with capacity 5,\nan edge from node 17 to node 5 with capacity 17,\nan edge from node 17 to node 3 with capacity 4,\nan edge from node 17 to node 13 with capacity 1,\nan edge from node 17 to node 14 with capacity 6,\nan edge from node 18 to node 16 with capacity 5,\nan edge from node 18 to node 4 with capacity 16,\nan edge from node 18 to node 3 with capacity 13,\nan edge from node 18 to node 11 with capacity 19,\nan edge from node 18 to node 9 with capacity 18,\nWhat is the maximum flow from node 5 to node 15:"
            },
            {
                "from": "gpt",
                "value": "45."
            }
        ]
    },
    {
        "id": "flow-hard-graph668",
        "image": "data/flow/graph_visual/hard/graph668.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 12 with capacity 8,\nan edge from node 0 to node 4 with capacity 14,\nan edge from node 1 to node 15 with capacity 4,\nan edge from node 1 to node 10 with capacity 17,\nan edge from node 1 to node 3 with capacity 11,\nan edge from node 2 to node 14 with capacity 14,\nan edge from node 3 to node 7 with capacity 18,\nan edge from node 3 to node 1 with capacity 15,\nan edge from node 3 to node 10 with capacity 13,\nan edge from node 3 to node 2 with capacity 14,\nan edge from node 3 to node 8 with capacity 15,\nan edge from node 4 to node 7 with capacity 2,\nan edge from node 4 to node 13 with capacity 19,\nan edge from node 4 to node 11 with capacity 5,\nan edge from node 4 to node 14 with capacity 11,\nan edge from node 4 to node 0 with capacity 10,\nan edge from node 5 to node 10 with capacity 11,\nan edge from node 6 to node 15 with capacity 5,\nan edge from node 7 to node 9 with capacity 3,\nan edge from node 7 to node 2 with capacity 17,\nan edge from node 7 to node 3 with capacity 7,\nan edge from node 7 to node 0 with capacity 14,\nan edge from node 7 to node 8 with capacity 7,\nan edge from node 8 to node 1 with capacity 20,\nan edge from node 8 to node 12 with capacity 7,\nan edge from node 8 to node 10 with capacity 10,\nan edge from node 8 to node 2 with capacity 10,\nan edge from node 8 to node 3 with capacity 19,\nan edge from node 8 to node 0 with capacity 14,\nan edge from node 9 to node 7 with capacity 15,\nan edge from node 9 to node 12 with capacity 20,\nan edge from node 9 to node 6 with capacity 1,\nan edge from node 9 to node 4 with capacity 8,\nan edge from node 9 to node 10 with capacity 7,\nan edge from node 9 to node 0 with capacity 17,\nan edge from node 10 to node 7 with capacity 8,\nan edge from node 10 to node 9 with capacity 4,\nan edge from node 10 to node 11 with capacity 4,\nan edge from node 10 to node 15 with capacity 15,\nan edge from node 10 to node 4 with capacity 13,\nan edge from node 10 to node 2 with capacity 20,\nan edge from node 10 to node 0 with capacity 5,\nan edge from node 10 to node 8 with capacity 5,\nan edge from node 11 to node 13 with capacity 2,\nan edge from node 11 to node 15 with capacity 20,\nan edge from node 11 to node 10 with capacity 16,\nan edge from node 12 to node 5 with capacity 20,\nan edge from node 13 to node 9 with capacity 13,\nan edge from node 13 to node 15 with capacity 2,\nan edge from node 13 to node 6 with capacity 3,\nan edge from node 13 to node 4 with capacity 3,\nan edge from node 13 to node 10 with capacity 3,\nan edge from node 13 to node 0 with capacity 19,\nan edge from node 14 to node 7 with capacity 19,\nan edge from node 14 to node 9 with capacity 11,\nan edge from node 14 to node 1 with capacity 3,\nan edge from node 14 to node 6 with capacity 19,\nan edge from node 15 to node 9 with capacity 20,\nan edge from node 15 to node 11 with capacity 14,\nan edge from node 15 to node 14 with capacity 11,\nan edge from node 15 to node 3 with capacity 8,\nan edge from node 15 to node 0 with capacity 8,\nWhat is the maximum flow from node 4 to node 5:"
            },
            {
                "from": "gpt",
                "value": "20."
            }
        ]
    },
    {
        "id": "flow-hard-graph289",
        "image": "data/flow/graph_visual/hard/graph289.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 10 with capacity 8,\nan edge from node 0 to node 3 with capacity 16,\nan edge from node 0 to node 5 with capacity 3,\nan edge from node 1 to node 10 with capacity 13,\nan edge from node 1 to node 11 with capacity 16,\nan edge from node 1 to node 7 with capacity 10,\nan edge from node 2 to node 11 with capacity 9,\nan edge from node 2 to node 4 with capacity 9,\nan edge from node 3 to node 5 with capacity 2,\nan edge from node 3 to node 1 with capacity 11,\nan edge from node 3 to node 4 with capacity 19,\nan edge from node 4 to node 3 with capacity 13,\nan edge from node 4 to node 5 with capacity 20,\nan edge from node 4 to node 2 with capacity 16,\nan edge from node 4 to node 1 with capacity 7,\nan edge from node 5 to node 7 with capacity 10,\nan edge from node 5 to node 2 with capacity 12,\nan edge from node 5 to node 9 with capacity 16,\nan edge from node 6 to node 7 with capacity 15,\nan edge from node 6 to node 1 with capacity 11,\nan edge from node 7 to node 10 with capacity 10,\nan edge from node 7 to node 2 with capacity 3,\nan edge from node 7 to node 9 with capacity 13,\nan edge from node 8 to node 10 with capacity 3,\nan edge from node 8 to node 6 with capacity 14,\nan edge from node 8 to node 3 with capacity 15,\nan edge from node 9 to node 3 with capacity 8,\nan edge from node 9 to node 2 with capacity 7,\nan edge from node 10 to node 0 with capacity 10,\nan edge from node 10 to node 7 with capacity 9,\nan edge from node 10 to node 1 with capacity 2,\nan edge from node 11 to node 8 with capacity 13,\nan edge from node 11 to node 3 with capacity 3,\nan edge from node 12 to node 8 with capacity 17,\nan edge from node 12 to node 6 with capacity 9,\nan edge from node 12 to node 5 with capacity 7,\nan edge from node 12 to node 2 with capacity 16,\nan edge from node 12 to node 1 with capacity 17,\nWhat is the maximum flow from node 7 to node 4:"
            },
            {
                "from": "gpt",
                "value": "26."
            }
        ]
    },
    {
        "id": "flow-hard-graph647",
        "image": "data/flow/graph_visual/hard/graph647.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 4 with capacity 1,\nan edge from node 0 to node 1 with capacity 2,\nan edge from node 0 to node 14 with capacity 4,\nan edge from node 0 to node 15 with capacity 1,\nan edge from node 0 to node 3 with capacity 11,\nan edge from node 0 to node 6 with capacity 12,\nan edge from node 0 to node 11 with capacity 16,\nan edge from node 1 to node 0 with capacity 11,\nan edge from node 2 to node 1 with capacity 8,\nan edge from node 2 to node 8 with capacity 18,\nan edge from node 2 to node 12 with capacity 13,\nan edge from node 3 to node 4 with capacity 18,\nan edge from node 3 to node 1 with capacity 14,\nan edge from node 3 to node 0 with capacity 18,\nan edge from node 3 to node 9 with capacity 13,\nan edge from node 3 to node 10 with capacity 9,\nan edge from node 4 to node 13 with capacity 19,\nan edge from node 4 to node 1 with capacity 17,\nan edge from node 4 to node 14 with capacity 10,\nan edge from node 4 to node 15 with capacity 6,\nan edge from node 4 to node 0 with capacity 13,\nan edge from node 4 to node 7 with capacity 10,\nan edge from node 4 to node 2 with capacity 4,\nan edge from node 4 to node 12 with capacity 15,\nan edge from node 6 to node 0 with capacity 8,\nan edge from node 6 to node 3 with capacity 19,\nan edge from node 7 to node 3 with capacity 8,\nan edge from node 7 to node 6 with capacity 11,\nan edge from node 8 to node 4 with capacity 1,\nan edge from node 8 to node 0 with capacity 14,\nan edge from node 8 to node 3 with capacity 8,\nan edge from node 8 to node 9 with capacity 16,\nan edge from node 9 to node 1 with capacity 13,\nan edge from node 10 to node 14 with capacity 1,\nan edge from node 10 to node 0 with capacity 19,\nan edge from node 10 to node 7 with capacity 15,\nan edge from node 10 to node 12 with capacity 13,\nan edge from node 11 to node 15 with capacity 18,\nan edge from node 11 to node 8 with capacity 11,\nan edge from node 11 to node 3 with capacity 3,\nan edge from node 12 to node 6 with capacity 17,\nan edge from node 13 to node 1 with capacity 1,\nan edge from node 13 to node 14 with capacity 20,\nan edge from node 13 to node 2 with capacity 12,\nan edge from node 13 to node 5 with capacity 15,\nan edge from node 13 to node 9 with capacity 15,\nan edge from node 13 to node 10 with capacity 14,\nan edge from node 14 to node 13 with capacity 9,\nan edge from node 14 to node 7 with capacity 6,\nan edge from node 14 to node 6 with capacity 1,\nan edge from node 15 to node 13 with capacity 7,\nan edge from node 15 to node 1 with capacity 6,\nan edge from node 15 to node 8 with capacity 2,\nWhat is the maximum flow from node 6 to node 9:"
            },
            {
                "from": "gpt",
                "value": "27."
            }
        ]
    },
    {
        "id": "flow-hard-graph541",
        "image": "data/flow/graph_visual/hard/graph541.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 1 with capacity 17,\nan edge from node 0 to node 5 with capacity 19,\nan edge from node 0 to node 3 with capacity 7,\nan edge from node 0 to node 10 with capacity 7,\nan edge from node 1 to node 11 with capacity 4,\nan edge from node 1 to node 4 with capacity 9,\nan edge from node 1 to node 7 with capacity 5,\nan edge from node 1 to node 13 with capacity 12,\nan edge from node 1 to node 12 with capacity 14,\nan edge from node 2 to node 4 with capacity 7,\nan edge from node 2 to node 9 with capacity 10,\nan edge from node 2 to node 14 with capacity 4,\nan edge from node 3 to node 6 with capacity 14,\nan edge from node 3 to node 11 with capacity 2,\nan edge from node 3 to node 5 with capacity 7,\nan edge from node 3 to node 12 with capacity 18,\nan edge from node 3 to node 10 with capacity 16,\nan edge from node 3 to node 9 with capacity 19,\nan edge from node 3 to node 14 with capacity 11,\nan edge from node 4 to node 3 with capacity 14,\nan edge from node 5 to node 12 with capacity 19,\nan edge from node 5 to node 10 with capacity 5,\nan edge from node 5 to node 9 with capacity 4,\nan edge from node 6 to node 2 with capacity 6,\nan edge from node 6 to node 12 with capacity 7,\nan edge from node 6 to node 9 with capacity 13,\nan edge from node 6 to node 14 with capacity 6,\nan edge from node 7 to node 5 with capacity 5,\nan edge from node 7 to node 8 with capacity 8,\nan edge from node 7 to node 9 with capacity 1,\nan edge from node 7 to node 14 with capacity 18,\nan edge from node 8 to node 1 with capacity 14,\nan edge from node 8 to node 5 with capacity 5,\nan edge from node 8 to node 9 with capacity 17,\nan edge from node 9 to node 1 with capacity 7,\nan edge from node 9 to node 8 with capacity 10,\nan edge from node 9 to node 0 with capacity 18,\nan edge from node 9 to node 4 with capacity 5,\nan edge from node 9 to node 10 with capacity 10,\nan edge from node 10 to node 3 with capacity 6,\nan edge from node 10 to node 8 with capacity 4,\nan edge from node 11 to node 6 with capacity 17,\nan edge from node 11 to node 10 with capacity 10,\nan edge from node 12 to node 5 with capacity 14,\nan edge from node 12 to node 0 with capacity 10,\nan edge from node 13 to node 11 with capacity 19,\nan edge from node 13 to node 2 with capacity 12,\nan edge from node 13 to node 12 with capacity 15,\nan edge from node 13 to node 14 with capacity 1,\nan edge from node 14 to node 0 with capacity 3,\nan edge from node 14 to node 7 with capacity 18,\nWhat is the maximum flow from node 11 to node 4:"
            },
            {
                "from": "gpt",
                "value": "21."
            }
        ]
    },
    {
        "id": "flow-hard-graph1029",
        "image": "data/flow/graph_visual/hard/graph1029.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 16 with capacity 20,\nan edge from node 0 to node 4 with capacity 7,\nan edge from node 0 to node 17 with capacity 1,\nan edge from node 0 to node 9 with capacity 19,\nan edge from node 0 to node 15 with capacity 5,\nan edge from node 1 to node 18 with capacity 8,\nan edge from node 1 to node 3 with capacity 10,\nan edge from node 1 to node 6 with capacity 1,\nan edge from node 1 to node 8 with capacity 11,\nan edge from node 1 to node 0 with capacity 10,\nan edge from node 1 to node 14 with capacity 15,\nan edge from node 1 to node 2 with capacity 20,\nan edge from node 1 to node 9 with capacity 9,\nan edge from node 2 to node 18 with capacity 6,\nan edge from node 2 to node 11 with capacity 15,\nan edge from node 2 to node 6 with capacity 19,\nan edge from node 2 to node 0 with capacity 3,\nan edge from node 2 to node 10 with capacity 19,\nan edge from node 2 to node 13 with capacity 10,\nan edge from node 3 to node 14 with capacity 17,\nan edge from node 3 to node 2 with capacity 20,\nan edge from node 3 to node 12 with capacity 20,\nan edge from node 4 to node 3 with capacity 16,\nan edge from node 4 to node 7 with capacity 13,\nan edge from node 4 to node 8 with capacity 10,\nan edge from node 5 to node 2 with capacity 4,\nan edge from node 5 to node 12 with capacity 11,\nan edge from node 5 to node 13 with capacity 3,\nan edge from node 6 to node 11 with capacity 17,\nan edge from node 6 to node 8 with capacity 7,\nan edge from node 6 to node 9 with capacity 4,\nan edge from node 6 to node 12 with capacity 15,\nan edge from node 6 to node 15 with capacity 1,\nan edge from node 6 to node 10 with capacity 1,\nan edge from node 6 to node 13 with capacity 4,\nan edge from node 7 to node 11 with capacity 2,\nan edge from node 7 to node 6 with capacity 13,\nan edge from node 7 to node 14 with capacity 18,\nan edge from node 7 to node 17 with capacity 16,\nan edge from node 7 to node 10 with capacity 7,\nan edge from node 8 to node 18 with capacity 13,\nan edge from node 8 to node 1 with capacity 5,\nan edge from node 8 to node 7 with capacity 19,\nan edge from node 8 to node 14 with capacity 20,\nan edge from node 8 to node 5 with capacity 1,\nan edge from node 9 to node 16 with capacity 2,\nan edge from node 9 to node 0 with capacity 11,\nan edge from node 9 to node 5 with capacity 11,\nan edge from node 10 to node 3 with capacity 8,\nan edge from node 10 to node 1 with capacity 2,\nan edge from node 10 to node 11 with capacity 18,\nan edge from node 10 to node 8 with capacity 13,\nan edge from node 10 to node 4 with capacity 15,\nan edge from node 10 to node 9 with capacity 14,\nan edge from node 10 to node 12 with capacity 1,\nan edge from node 11 to node 14 with capacity 12,\nan edge from node 11 to node 17 with capacity 14,\nan edge from node 11 to node 9 with capacity 5,\nan edge from node 11 to node 13 with capacity 11,\nan edge from node 12 to node 14 with capacity 17,\nan edge from node 12 to node 17 with capacity 17,\nan edge from node 12 to node 15 with capacity 13,\nan edge from node 13 to node 3 with capacity 17,\nan edge from node 13 to node 2 with capacity 17,\nan edge from node 13 to node 5 with capacity 18,\nan edge from node 14 to node 8 with capacity 8,\nan edge from node 14 to node 2 with capacity 18,\nan edge from node 15 to node 3 with capacity 1,\nan edge from node 15 to node 6 with capacity 6,\nan edge from node 15 to node 0 with capacity 10,\nan edge from node 15 to node 14 with capacity 13,\nan edge from node 15 to node 17 with capacity 14,\nan edge from node 15 to node 9 with capacity 3,\nan edge from node 16 to node 11 with capacity 3,\nan edge from node 16 to node 14 with capacity 7,\nan edge from node 16 to node 4 with capacity 13,\nan edge from node 16 to node 15 with capacity 20,\nan edge from node 17 to node 3 with capacity 16,\nan edge from node 17 to node 7 with capacity 8,\nan edge from node 17 to node 6 with capacity 10,\nan edge from node 17 to node 8 with capacity 5,\nan edge from node 17 to node 12 with capacity 16,\nan edge from node 17 to node 15 with capacity 18,\nan edge from node 17 to node 13 with capacity 4,\nan edge from node 18 to node 7 with capacity 19,\nan edge from node 18 to node 8 with capacity 10,\nan edge from node 18 to node 0 with capacity 7,\nan edge from node 18 to node 2 with capacity 14,\nan edge from node 18 to node 10 with capacity 12,\nan edge from node 18 to node 5 with capacity 18,\nWhat is the maximum flow from node 14 to node 2:"
            },
            {
                "from": "gpt",
                "value": "26."
            }
        ]
    },
    {
        "id": "flow-hard-graph1081",
        "image": "data/flow/graph_visual/hard/graph1081.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 2 with capacity 2,\nan edge from node 0 to node 6 with capacity 2,\nan edge from node 0 to node 15 with capacity 13,\nan edge from node 0 to node 16 with capacity 17,\nan edge from node 0 to node 5 with capacity 12,\nan edge from node 1 to node 10 with capacity 8,\nan edge from node 1 to node 4 with capacity 5,\nan edge from node 1 to node 2 with capacity 15,\nan edge from node 1 to node 0 with capacity 7,\nan edge from node 1 to node 6 with capacity 9,\nan edge from node 1 to node 9 with capacity 19,\nan edge from node 1 to node 5 with capacity 4,\nan edge from node 2 to node 10 with capacity 15,\nan edge from node 2 to node 4 with capacity 8,\nan edge from node 2 to node 9 with capacity 5,\nan edge from node 2 to node 8 with capacity 2,\nan edge from node 2 to node 3 with capacity 8,\nan edge from node 2 to node 5 with capacity 6,\nan edge from node 2 to node 11 with capacity 7,\nan edge from node 3 to node 17 with capacity 13,\nan edge from node 3 to node 14 with capacity 4,\nan edge from node 3 to node 2 with capacity 13,\nan edge from node 3 to node 0 with capacity 5,\nan edge from node 3 to node 8 with capacity 13,\nan edge from node 3 to node 7 with capacity 12,\nan edge from node 4 to node 17 with capacity 20,\nan edge from node 4 to node 10 with capacity 3,\nan edge from node 4 to node 15 with capacity 20,\nan edge from node 5 to node 12 with capacity 20,\nan edge from node 5 to node 14 with capacity 13,\nan edge from node 5 to node 9 with capacity 2,\nan edge from node 5 to node 11 with capacity 6,\nan edge from node 6 to node 10 with capacity 20,\nan edge from node 6 to node 2 with capacity 11,\nan edge from node 6 to node 15 with capacity 13,\nan edge from node 6 to node 9 with capacity 14,\nan edge from node 6 to node 8 with capacity 16,\nan edge from node 6 to node 3 with capacity 8,\nan edge from node 6 to node 7 with capacity 3,\nan edge from node 7 to node 1 with capacity 15,\nan edge from node 7 to node 19 with capacity 15,\nan edge from node 8 to node 12 with capacity 18,\nan edge from node 8 to node 15 with capacity 2,\nan edge from node 8 to node 18 with capacity 10,\nan edge from node 8 to node 19 with capacity 11,\nan edge from node 8 to node 5 with capacity 7,\nan edge from node 8 to node 7 with capacity 10,\nan edge from node 9 to node 12 with capacity 17,\nan edge from node 9 to node 4 with capacity 11,\nan edge from node 9 to node 1 with capacity 5,\nan edge from node 9 to node 6 with capacity 15,\nan edge from node 9 to node 15 with capacity 20,\nan edge from node 9 to node 18 with capacity 14,\nan edge from node 9 to node 8 with capacity 8,\nan edge from node 9 to node 7 with capacity 19,\nan edge from node 10 to node 12 with capacity 4,\nan edge from node 10 to node 17 with capacity 19,\nan edge from node 10 to node 8 with capacity 12,\nan edge from node 10 to node 11 with capacity 13,\nan edge from node 11 to node 13 with capacity 18,\nan edge from node 11 to node 6 with capacity 15,\nan edge from node 12 to node 17 with capacity 7,\nan edge from node 12 to node 14 with capacity 19,\nan edge from node 12 to node 10 with capacity 1,\nan edge from node 12 to node 2 with capacity 1,\nan edge from node 12 to node 5 with capacity 20,\nan edge from node 13 to node 17 with capacity 9,\nan edge from node 13 to node 6 with capacity 16,\nan edge from node 13 to node 18 with capacity 18,\nan edge from node 13 to node 8 with capacity 20,\nan edge from node 13 to node 19 with capacity 8,\nan edge from node 13 to node 7 with capacity 20,\nan edge from node 14 to node 10 with capacity 7,\nan edge from node 14 to node 6 with capacity 3,\nan edge from node 14 to node 18 with capacity 13,\nan edge from node 14 to node 8 with capacity 13,\nan edge from node 14 to node 11 with capacity 20,\nan edge from node 15 to node 6 with capacity 18,\nan edge from node 15 to node 9 with capacity 18,\nan edge from node 15 to node 19 with capacity 9,\nan edge from node 15 to node 7 with capacity 3,\nan edge from node 16 to node 17 with capacity 4,\nan edge from node 16 to node 14 with capacity 17,\nan edge from node 16 to node 2 with capacity 5,\nan edge from node 16 to node 0 with capacity 18,\nan edge from node 16 to node 3 with capacity 12,\nan edge from node 16 to node 11 with capacity 5,\nan edge from node 17 to node 3 with capacity 15,\nan edge from node 18 to node 12 with capacity 7,\nan edge from node 18 to node 10 with capacity 6,\nan edge from node 18 to node 4 with capacity 10,\nan edge from node 18 to node 0 with capacity 5,\nan edge from node 18 to node 15 with capacity 18,\nan edge from node 18 to node 11 with capacity 7,\nan edge from node 19 to node 12 with capacity 9,\nan edge from node 19 to node 2 with capacity 4,\nan edge from node 19 to node 0 with capacity 9,\nan edge from node 19 to node 9 with capacity 16,\nan edge from node 19 to node 8 with capacity 11,\nan edge from node 19 to node 16 with capacity 17,\nan edge from node 19 to node 11 with capacity 8,\nan edge from node 19 to node 7 with capacity 14,\nWhat is the maximum flow from node 5 to node 0:"
            },
            {
                "from": "gpt",
                "value": "41."
            }
        ]
    },
    {
        "id": "flow-hard-graph680",
        "image": "data/flow/graph_visual/hard/graph680.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 15 with capacity 14,\nan edge from node 1 to node 15 with capacity 4,\nan edge from node 1 to node 11 with capacity 12,\nan edge from node 1 to node 2 with capacity 6,\nan edge from node 1 to node 12 with capacity 8,\nan edge from node 2 to node 6 with capacity 15,\nan edge from node 2 to node 14 with capacity 6,\nan edge from node 3 to node 9 with capacity 15,\nan edge from node 3 to node 0 with capacity 15,\nan edge from node 3 to node 2 with capacity 2,\nan edge from node 4 to node 15 with capacity 19,\nan edge from node 4 to node 6 with capacity 1,\nan edge from node 4 to node 7 with capacity 12,\nan edge from node 4 to node 2 with capacity 19,\nan edge from node 5 to node 4 with capacity 2,\nan edge from node 5 to node 13 with capacity 8,\nan edge from node 5 to node 12 with capacity 2,\nan edge from node 6 to node 9 with capacity 18,\nan edge from node 6 to node 4 with capacity 6,\nan edge from node 6 to node 7 with capacity 10,\nan edge from node 6 to node 5 with capacity 14,\nan edge from node 7 to node 3 with capacity 17,\nan edge from node 7 to node 15 with capacity 19,\nan edge from node 7 to node 6 with capacity 4,\nan edge from node 7 to node 10 with capacity 17,\nan edge from node 7 to node 2 with capacity 13,\nan edge from node 7 to node 14 with capacity 10,\nan edge from node 8 to node 15 with capacity 15,\nan edge from node 8 to node 1 with capacity 7,\nan edge from node 8 to node 4 with capacity 2,\nan edge from node 8 to node 6 with capacity 13,\nan edge from node 8 to node 0 with capacity 16,\nan edge from node 8 to node 10 with capacity 11,\nan edge from node 8 to node 2 with capacity 5,\nan edge from node 9 to node 6 with capacity 15,\nan edge from node 9 to node 13 with capacity 9,\nan edge from node 9 to node 14 with capacity 3,\nan edge from node 9 to node 12 with capacity 2,\nan edge from node 10 to node 9 with capacity 8,\nan edge from node 10 to node 15 with capacity 12,\nan edge from node 10 to node 1 with capacity 10,\nan edge from node 10 to node 11 with capacity 11,\nan edge from node 10 to node 4 with capacity 20,\nan edge from node 10 to node 7 with capacity 4,\nan edge from node 10 to node 5 with capacity 6,\nan edge from node 11 to node 1 with capacity 1,\nan edge from node 11 to node 8 with capacity 12,\nan edge from node 11 to node 0 with capacity 6,\nan edge from node 11 to node 7 with capacity 11,\nan edge from node 11 to node 5 with capacity 14,\nan edge from node 12 to node 9 with capacity 20,\nan edge from node 12 to node 6 with capacity 15,\nan edge from node 12 to node 13 with capacity 16,\nan edge from node 12 to node 10 with capacity 3,\nan edge from node 12 to node 2 with capacity 6,\nan edge from node 13 to node 15 with capacity 7,\nan edge from node 13 to node 1 with capacity 12,\nan edge from node 13 to node 4 with capacity 5,\nan edge from node 13 to node 0 with capacity 6,\nan edge from node 13 to node 12 with capacity 4,\nan edge from node 14 to node 12 with capacity 7,\nan edge from node 14 to node 5 with capacity 12,\nan edge from node 15 to node 1 with capacity 5,\nan edge from node 15 to node 6 with capacity 14,\nWhat is the maximum flow from node 11 to node 2:"
            },
            {
                "from": "gpt",
                "value": "42."
            }
        ]
    },
    {
        "id": "flow-hard-graph982",
        "image": "data/flow/graph_visual/hard/graph982.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 17 with capacity 1,\nan edge from node 0 to node 10 with capacity 9,\nan edge from node 0 to node 15 with capacity 6,\nan edge from node 0 to node 18 with capacity 20,\nan edge from node 0 to node 7 with capacity 15,\nan edge from node 1 to node 16 with capacity 13,\nan edge from node 1 to node 9 with capacity 13,\nan edge from node 1 to node 10 with capacity 20,\nan edge from node 1 to node 8 with capacity 1,\nan edge from node 1 to node 0 with capacity 15,\nan edge from node 2 to node 5 with capacity 5,\nan edge from node 2 to node 13 with capacity 7,\nan edge from node 2 to node 15 with capacity 10,\nan edge from node 2 to node 8 with capacity 7,\nan edge from node 2 to node 0 with capacity 12,\nan edge from node 3 to node 6 with capacity 9,\nan edge from node 3 to node 12 with capacity 7,\nan edge from node 3 to node 5 with capacity 7,\nan edge from node 3 to node 13 with capacity 10,\nan edge from node 3 to node 10 with capacity 6,\nan edge from node 3 to node 11 with capacity 12,\nan edge from node 3 to node 1 with capacity 6,\nan edge from node 4 to node 16 with capacity 19,\nan edge from node 4 to node 12 with capacity 3,\nan edge from node 4 to node 2 with capacity 19,\nan edge from node 4 to node 1 with capacity 17,\nan edge from node 5 to node 17 with capacity 20,\nan edge from node 5 to node 16 with capacity 9,\nan edge from node 5 to node 3 with capacity 1,\nan edge from node 6 to node 5 with capacity 12,\nan edge from node 6 to node 15 with capacity 4,\nan edge from node 6 to node 8 with capacity 3,\nan edge from node 6 to node 7 with capacity 15,\nan edge from node 7 to node 4 with capacity 19,\nan edge from node 7 to node 12 with capacity 16,\nan edge from node 7 to node 15 with capacity 17,\nan edge from node 7 to node 0 with capacity 15,\nan edge from node 7 to node 2 with capacity 12,\nan edge from node 8 to node 16 with capacity 5,\nan edge from node 8 to node 13 with capacity 3,\nan edge from node 8 to node 18 with capacity 11,\nan edge from node 8 to node 11 with capacity 16,\nan edge from node 9 to node 16 with capacity 13,\nan edge from node 9 to node 12 with capacity 12,\nan edge from node 9 to node 5 with capacity 4,\nan edge from node 9 to node 7 with capacity 9,\nan edge from node 10 to node 14 with capacity 15,\nan edge from node 10 to node 17 with capacity 2,\nan edge from node 10 to node 16 with capacity 6,\nan edge from node 10 to node 13 with capacity 10,\nan edge from node 10 to node 11 with capacity 2,\nan edge from node 10 to node 7 with capacity 8,\nan edge from node 10 to node 1 with capacity 20,\nan edge from node 11 to node 3 with capacity 6,\nan edge from node 11 to node 4 with capacity 9,\nan edge from node 11 to node 9 with capacity 10,\nan edge from node 11 to node 18 with capacity 3,\nan edge from node 12 to node 4 with capacity 9,\nan edge from node 12 to node 9 with capacity 2,\nan edge from node 12 to node 13 with capacity 5,\nan edge from node 12 to node 10 with capacity 5,\nan edge from node 12 to node 18 with capacity 8,\nan edge from node 13 to node 2 with capacity 9,\nan edge from node 13 to node 7 with capacity 19,\nan edge from node 13 to node 1 with capacity 6,\nan edge from node 14 to node 8 with capacity 2,\nan edge from node 15 to node 14 with capacity 19,\nan edge from node 15 to node 17 with capacity 12,\nan edge from node 15 to node 10 with capacity 11,\nan edge from node 15 to node 0 with capacity 13,\nan edge from node 16 to node 5 with capacity 14,\nan edge from node 16 to node 10 with capacity 10,\nan edge from node 16 to node 15 with capacity 13,\nan edge from node 16 to node 0 with capacity 4,\nan edge from node 16 to node 7 with capacity 11,\nan edge from node 17 to node 9 with capacity 19,\nan edge from node 17 to node 5 with capacity 19,\nan edge from node 17 to node 13 with capacity 20,\nan edge from node 18 to node 9 with capacity 4,\nan edge from node 18 to node 15 with capacity 9,\nWhat is the maximum flow from node 10 to node 5:"
            },
            {
                "from": "gpt",
                "value": "44."
            }
        ]
    },
    {
        "id": "flow-hard-graph698",
        "image": "data/flow/graph_visual/hard/graph698.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 12 with capacity 2,\nan edge from node 0 to node 1 with capacity 4,\nan edge from node 0 to node 13 with capacity 12,\nan edge from node 0 to node 7 with capacity 1,\nan edge from node 0 to node 11 with capacity 5,\nan edge from node 1 to node 10 with capacity 10,\nan edge from node 1 to node 12 with capacity 20,\nan edge from node 1 to node 5 with capacity 18,\nan edge from node 1 to node 9 with capacity 9,\nan edge from node 1 to node 14 with capacity 19,\nan edge from node 1 to node 4 with capacity 12,\nan edge from node 2 to node 15 with capacity 19,\nan edge from node 2 to node 1 with capacity 16,\nan edge from node 2 to node 5 with capacity 14,\nan edge from node 2 to node 9 with capacity 19,\nan edge from node 2 to node 7 with capacity 5,\nan edge from node 3 to node 15 with capacity 19,\nan edge from node 3 to node 10 with capacity 4,\nan edge from node 3 to node 1 with capacity 10,\nan edge from node 3 to node 5 with capacity 20,\nan edge from node 3 to node 7 with capacity 5,\nan edge from node 3 to node 11 with capacity 3,\nan edge from node 4 to node 6 with capacity 6,\nan edge from node 4 to node 13 with capacity 4,\nan edge from node 4 to node 5 with capacity 5,\nan edge from node 4 to node 8 with capacity 9,\nan edge from node 5 to node 10 with capacity 14,\nan edge from node 5 to node 1 with capacity 11,\nan edge from node 5 to node 8 with capacity 6,\nan edge from node 6 to node 10 with capacity 8,\nan edge from node 6 to node 12 with capacity 10,\nan edge from node 6 to node 9 with capacity 13,\nan edge from node 6 to node 11 with capacity 8,\nan edge from node 6 to node 4 with capacity 14,\nan edge from node 7 to node 15 with capacity 3,\nan edge from node 7 to node 10 with capacity 9,\nan edge from node 7 to node 12 with capacity 6,\nan edge from node 7 to node 6 with capacity 12,\nan edge from node 7 to node 5 with capacity 6,\nan edge from node 7 to node 11 with capacity 16,\nan edge from node 7 to node 4 with capacity 16,\nan edge from node 8 to node 15 with capacity 9,\nan edge from node 8 to node 10 with capacity 7,\nan edge from node 8 to node 12 with capacity 6,\nan edge from node 8 to node 1 with capacity 5,\nan edge from node 8 to node 14 with capacity 2,\nan edge from node 8 to node 2 with capacity 15,\nan edge from node 9 to node 12 with capacity 2,\nan edge from node 9 to node 6 with capacity 14,\nan edge from node 9 to node 5 with capacity 8,\nan edge from node 9 to node 11 with capacity 12,\nan edge from node 10 to node 0 with capacity 11,\nan edge from node 10 to node 6 with capacity 14,\nan edge from node 10 to node 2 with capacity 20,\nan edge from node 11 to node 12 with capacity 14,\nan edge from node 11 to node 1 with capacity 14,\nan edge from node 11 to node 8 with capacity 9,\nan edge from node 12 to node 15 with capacity 13,\nan edge from node 12 to node 10 with capacity 18,\nan edge from node 12 to node 7 with capacity 11,\nan edge from node 12 to node 8 with capacity 11,\nan edge from node 13 to node 0 with capacity 1,\nan edge from node 13 to node 3 with capacity 15,\nan edge from node 13 to node 1 with capacity 7,\nan edge from node 13 to node 14 with capacity 10,\nan edge from node 13 to node 4 with capacity 12,\nan edge from node 13 to node 2 with capacity 8,\nan edge from node 14 to node 0 with capacity 1,\nan edge from node 14 to node 3 with capacity 6,\nan edge from node 14 to node 15 with capacity 2,\nan edge from node 14 to node 12 with capacity 10,\nan edge from node 14 to node 11 with capacity 13,\nan edge from node 14 to node 2 with capacity 8,\nan edge from node 15 to node 3 with capacity 14,\nan edge from node 15 to node 6 with capacity 12,\nan edge from node 15 to node 14 with capacity 4,\nan edge from node 15 to node 7 with capacity 4,\nan edge from node 15 to node 2 with capacity 7,\nWhat is the maximum flow from node 2 to node 13:"
            },
            {
                "from": "gpt",
                "value": "16."
            }
        ]
    },
    {
        "id": "flow-hard-graph845",
        "image": "data/flow/graph_visual/hard/graph845.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 14 with capacity 3,\nan edge from node 0 to node 15 with capacity 17,\nan edge from node 0 to node 8 with capacity 19,\nan edge from node 1 to node 14 with capacity 7,\nan edge from node 1 to node 6 with capacity 2,\nan edge from node 1 to node 0 with capacity 5,\nan edge from node 1 to node 13 with capacity 11,\nan edge from node 1 to node 2 with capacity 13,\nan edge from node 1 to node 5 with capacity 12,\nan edge from node 1 to node 16 with capacity 12,\nan edge from node 1 to node 12 with capacity 13,\nan edge from node 2 to node 9 with capacity 20,\nan edge from node 2 to node 0 with capacity 9,\nan edge from node 2 to node 8 with capacity 13,\nan edge from node 3 to node 9 with capacity 17,\nan edge from node 3 to node 14 with capacity 10,\nan edge from node 3 to node 7 with capacity 12,\nan edge from node 3 to node 1 with capacity 17,\nan edge from node 3 to node 4 with capacity 20,\nan edge from node 4 to node 15 with capacity 10,\nan edge from node 4 to node 11 with capacity 15,\nan edge from node 4 to node 7 with capacity 14,\nan edge from node 4 to node 16 with capacity 8,\nan edge from node 4 to node 12 with capacity 14,\nan edge from node 5 to node 14 with capacity 7,\nan edge from node 5 to node 3 with capacity 11,\nan edge from node 5 to node 7 with capacity 8,\nan edge from node 5 to node 4 with capacity 16,\nan edge from node 5 to node 10 with capacity 12,\nan edge from node 5 to node 16 with capacity 17,\nan edge from node 6 to node 14 with capacity 3,\nan edge from node 6 to node 8 with capacity 18,\nan edge from node 6 to node 2 with capacity 11,\nan edge from node 6 to node 16 with capacity 1,\nan edge from node 7 to node 14 with capacity 11,\nan edge from node 7 to node 6 with capacity 9,\nan edge from node 7 to node 17 with capacity 7,\nan edge from node 7 to node 16 with capacity 15,\nan edge from node 8 to node 9 with capacity 16,\nan edge from node 8 to node 14 with capacity 12,\nan edge from node 8 to node 7 with capacity 6,\nan edge from node 8 to node 1 with capacity 7,\nan edge from node 8 to node 17 with capacity 7,\nan edge from node 9 to node 6 with capacity 2,\nan edge from node 9 to node 8 with capacity 7,\nan edge from node 9 to node 1 with capacity 17,\nan edge from node 9 to node 16 with capacity 9,\nan edge from node 9 to node 12 with capacity 12,\nan edge from node 10 to node 15 with capacity 4,\nan edge from node 11 to node 8 with capacity 7,\nan edge from node 11 to node 1 with capacity 18,\nan edge from node 11 to node 17 with capacity 17,\nan edge from node 12 to node 9 with capacity 16,\nan edge from node 12 to node 3 with capacity 15,\nan edge from node 12 to node 7 with capacity 15,\nan edge from node 12 to node 4 with capacity 5,\nan edge from node 13 to node 15 with capacity 9,\nan edge from node 13 to node 8 with capacity 11,\nan edge from node 13 to node 7 with capacity 8,\nan edge from node 13 to node 5 with capacity 3,\nan edge from node 13 to node 4 with capacity 3,\nan edge from node 13 to node 12 with capacity 6,\nan edge from node 14 to node 3 with capacity 19,\nan edge from node 14 to node 0 with capacity 7,\nan edge from node 14 to node 11 with capacity 15,\nan edge from node 14 to node 7 with capacity 16,\nan edge from node 14 to node 2 with capacity 11,\nan edge from node 14 to node 5 with capacity 4,\nan edge from node 14 to node 12 with capacity 14,\nan edge from node 15 to node 9 with capacity 15,\nan edge from node 15 to node 3 with capacity 8,\nan edge from node 15 to node 17 with capacity 4,\nan edge from node 15 to node 4 with capacity 20,\nan edge from node 15 to node 16 with capacity 18,\nan edge from node 16 to node 2 with capacity 12,\nan edge from node 16 to node 10 with capacity 3,\nan edge from node 17 to node 9 with capacity 3,\nan edge from node 17 to node 6 with capacity 15,\nan edge from node 17 to node 0 with capacity 6,\nan edge from node 17 to node 15 with capacity 14,\nan edge from node 17 to node 1 with capacity 6,\nan edge from node 17 to node 4 with capacity 19,\nan edge from node 17 to node 16 with capacity 8,\nan edge from node 17 to node 12 with capacity 5,\nWhat is the maximum flow from node 3 to node 13:"
            },
            {
                "from": "gpt",
                "value": "11."
            }
        ]
    },
    {
        "id": "flow-hard-graph884",
        "image": "data/flow/graph_visual/hard/graph884.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 12 with capacity 12,\nan edge from node 0 to node 3 with capacity 20,\nan edge from node 1 to node 7 with capacity 5,\nan edge from node 1 to node 8 with capacity 2,\nan edge from node 1 to node 2 with capacity 18,\nan edge from node 1 to node 12 with capacity 9,\nan edge from node 1 to node 5 with capacity 16,\nan edge from node 2 to node 16 with capacity 16,\nan edge from node 2 to node 11 with capacity 10,\nan edge from node 2 to node 17 with capacity 1,\nan edge from node 2 to node 12 with capacity 20,\nan edge from node 2 to node 13 with capacity 11,\nan edge from node 3 to node 9 with capacity 20,\nan edge from node 3 to node 11 with capacity 11,\nan edge from node 3 to node 7 with capacity 5,\nan edge from node 3 to node 0 with capacity 6,\nan edge from node 3 to node 12 with capacity 11,\nan edge from node 3 to node 15 with capacity 5,\nan edge from node 4 to node 8 with capacity 19,\nan edge from node 4 to node 0 with capacity 6,\nan edge from node 4 to node 12 with capacity 12,\nan edge from node 4 to node 3 with capacity 19,\nan edge from node 5 to node 11 with capacity 14,\nan edge from node 5 to node 14 with capacity 7,\nan edge from node 5 to node 8 with capacity 7,\nan edge from node 5 to node 12 with capacity 9,\nan edge from node 5 to node 13 with capacity 9,\nan edge from node 5 to node 3 with capacity 20,\nan edge from node 6 to node 9 with capacity 20,\nan edge from node 6 to node 5 with capacity 3,\nan edge from node 7 to node 5 with capacity 9,\nan edge from node 7 to node 13 with capacity 17,\nan edge from node 8 to node 14 with capacity 14,\nan edge from node 8 to node 0 with capacity 12,\nan edge from node 8 to node 2 with capacity 20,\nan edge from node 9 to node 1 with capacity 1,\nan edge from node 9 to node 6 with capacity 6,\nan edge from node 9 to node 2 with capacity 11,\nan edge from node 9 to node 5 with capacity 19,\nan edge from node 10 to node 11 with capacity 1,\nan edge from node 10 to node 1 with capacity 17,\nan edge from node 10 to node 6 with capacity 4,\nan edge from node 10 to node 8 with capacity 15,\nan edge from node 10 to node 0 with capacity 4,\nan edge from node 10 to node 3 with capacity 17,\nan edge from node 11 to node 4 with capacity 14,\nan edge from node 11 to node 1 with capacity 7,\nan edge from node 11 to node 6 with capacity 20,\nan edge from node 11 to node 17 with capacity 14,\nan edge from node 11 to node 8 with capacity 18,\nan edge from node 11 to node 2 with capacity 7,\nan edge from node 11 to node 12 with capacity 7,\nan edge from node 11 to node 15 with capacity 12,\nan edge from node 12 to node 11 with capacity 14,\nan edge from node 12 to node 1 with capacity 12,\nan edge from node 12 to node 6 with capacity 4,\nan edge from node 12 to node 13 with capacity 12,\nan edge from node 13 to node 1 with capacity 9,\nan edge from node 13 to node 7 with capacity 5,\nan edge from node 13 to node 17 with capacity 2,\nan edge from node 14 to node 7 with capacity 20,\nan edge from node 14 to node 17 with capacity 18,\nan edge from node 14 to node 8 with capacity 1,\nan edge from node 14 to node 5 with capacity 17,\nan edge from node 14 to node 3 with capacity 6,\nan edge from node 15 to node 16 with capacity 18,\nan edge from node 15 to node 7 with capacity 19,\nan edge from node 15 to node 0 with capacity 11,\nan edge from node 15 to node 3 with capacity 17,\nan edge from node 16 to node 4 with capacity 6,\nan edge from node 16 to node 14 with capacity 16,\nan edge from node 16 to node 3 with capacity 20,\nan edge from node 17 to node 1 with capacity 12,\nWhat is the maximum flow from node 1 to node 17:"
            },
            {
                "from": "gpt",
                "value": "35."
            }
        ]
    },
    {
        "id": "flow-hard-graph451",
        "image": "data/flow/graph_visual/hard/graph451.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 10 with capacity 19,\nan edge from node 0 to node 1 with capacity 15,\nan edge from node 0 to node 2 with capacity 17,\nan edge from node 0 to node 9 with capacity 12,\nan edge from node 0 to node 3 with capacity 3,\nan edge from node 0 to node 7 with capacity 18,\nan edge from node 1 to node 8 with capacity 2,\nan edge from node 2 to node 0 with capacity 16,\nan edge from node 2 to node 12 with capacity 15,\nan edge from node 3 to node 11 with capacity 13,\nan edge from node 3 to node 8 with capacity 9,\nan edge from node 3 to node 9 with capacity 13,\nan edge from node 3 to node 12 with capacity 6,\nan edge from node 4 to node 13 with capacity 16,\nan edge from node 4 to node 10 with capacity 16,\nan edge from node 4 to node 5 with capacity 10,\nan edge from node 4 to node 7 with capacity 6,\nan edge from node 5 to node 10 with capacity 12,\nan edge from node 5 to node 0 with capacity 5,\nan edge from node 5 to node 6 with capacity 2,\nan edge from node 5 to node 7 with capacity 18,\nan edge from node 6 to node 0 with capacity 4,\nan edge from node 6 to node 12 with capacity 17,\nan edge from node 6 to node 3 with capacity 20,\nan edge from node 7 to node 11 with capacity 7,\nan edge from node 7 to node 8 with capacity 18,\nan edge from node 7 to node 9 with capacity 13,\nan edge from node 8 to node 1 with capacity 7,\nan edge from node 8 to node 9 with capacity 8,\nan edge from node 9 to node 13 with capacity 8,\nan edge from node 9 to node 11 with capacity 15,\nan edge from node 9 to node 4 with capacity 11,\nan edge from node 9 to node 3 with capacity 1,\nan edge from node 10 to node 1 with capacity 13,\nan edge from node 10 to node 2 with capacity 5,\nan edge from node 10 to node 3 with capacity 1,\nan edge from node 10 to node 7 with capacity 3,\nan edge from node 11 to node 10 with capacity 2,\nan edge from node 11 to node 0 with capacity 15,\nan edge from node 11 to node 4 with capacity 20,\nan edge from node 12 to node 13 with capacity 17,\nan edge from node 12 to node 10 with capacity 14,\nan edge from node 12 to node 1 with capacity 2,\nan edge from node 12 to node 2 with capacity 13,\nan edge from node 12 to node 8 with capacity 2,\nan edge from node 13 to node 4 with capacity 9,\nan edge from node 13 to node 12 with capacity 20,\nan edge from node 13 to node 7 with capacity 14,\nWhat is the maximum flow from node 11 to node 4:"
            },
            {
                "from": "gpt",
                "value": "37."
            }
        ]
    },
    {
        "id": "flow-hard-graph1021",
        "image": "data/flow/graph_visual/hard/graph1021.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 18 with capacity 2,\nan edge from node 0 to node 7 with capacity 6,\nan edge from node 0 to node 11 with capacity 20,\nan edge from node 0 to node 12 with capacity 10,\nan edge from node 0 to node 10 with capacity 8,\nan edge from node 1 to node 14 with capacity 4,\nan edge from node 1 to node 7 with capacity 16,\nan edge from node 1 to node 11 with capacity 20,\nan edge from node 1 to node 12 with capacity 14,\nan edge from node 1 to node 10 with capacity 7,\nan edge from node 2 to node 1 with capacity 6,\nan edge from node 2 to node 8 with capacity 15,\nan edge from node 2 to node 13 with capacity 6,\nan edge from node 2 to node 12 with capacity 10,\nan edge from node 2 to node 10 with capacity 15,\nan edge from node 2 to node 15 with capacity 13,\nan edge from node 3 to node 8 with capacity 1,\nan edge from node 3 to node 4 with capacity 20,\nan edge from node 3 to node 11 with capacity 11,\nan edge from node 3 to node 6 with capacity 10,\nan edge from node 3 to node 9 with capacity 1,\nan edge from node 4 to node 2 with capacity 5,\nan edge from node 4 to node 6 with capacity 1,\nan edge from node 5 to node 17 with capacity 2,\nan edge from node 5 to node 1 with capacity 5,\nan edge from node 5 to node 6 with capacity 13,\nan edge from node 6 to node 18 with capacity 6,\nan edge from node 6 to node 4 with capacity 14,\nan edge from node 6 to node 12 with capacity 5,\nan edge from node 6 to node 5 with capacity 10,\nan edge from node 7 to node 17 with capacity 18,\nan edge from node 7 to node 16 with capacity 19,\nan edge from node 7 to node 12 with capacity 4,\nan edge from node 7 to node 5 with capacity 16,\nan edge from node 7 to node 6 with capacity 6,\nan edge from node 7 to node 9 with capacity 5,\nan edge from node 8 to node 1 with capacity 16,\nan edge from node 8 to node 18 with capacity 17,\nan edge from node 8 to node 3 with capacity 3,\nan edge from node 8 to node 16 with capacity 12,\nan edge from node 8 to node 5 with capacity 6,\nan edge from node 9 to node 1 with capacity 11,\nan edge from node 9 to node 12 with capacity 5,\nan edge from node 9 to node 5 with capacity 5,\nan edge from node 9 to node 10 with capacity 2,\nan edge from node 9 to node 15 with capacity 12,\nan edge from node 10 to node 17 with capacity 20,\nan edge from node 10 to node 4 with capacity 10,\nan edge from node 10 to node 7 with capacity 18,\nan edge from node 10 to node 11 with capacity 3,\nan edge from node 10 to node 0 with capacity 15,\nan edge from node 10 to node 16 with capacity 1,\nan edge from node 11 to node 17 with capacity 3,\nan edge from node 11 to node 13 with capacity 7,\nan edge from node 11 to node 16 with capacity 17,\nan edge from node 11 to node 12 with capacity 3,\nan edge from node 11 to node 10 with capacity 10,\nan edge from node 12 to node 17 with capacity 13,\nan edge from node 12 to node 3 with capacity 6,\nan edge from node 12 to node 16 with capacity 2,\nan edge from node 12 to node 6 with capacity 2,\nan edge from node 13 to node 4 with capacity 19,\nan edge from node 13 to node 3 with capacity 20,\nan edge from node 13 to node 6 with capacity 20,\nan edge from node 14 to node 17 with capacity 7,\nan edge from node 14 to node 1 with capacity 7,\nan edge from node 14 to node 18 with capacity 20,\nan edge from node 14 to node 11 with capacity 17,\nan edge from node 14 to node 3 with capacity 20,\nan edge from node 14 to node 5 with capacity 7,\nan edge from node 14 to node 15 with capacity 5,\nan edge from node 15 to node 11 with capacity 18,\nan edge from node 16 to node 14 with capacity 13,\nan edge from node 16 to node 13 with capacity 11,\nan edge from node 16 to node 12 with capacity 14,\nan edge from node 17 to node 8 with capacity 4,\nan edge from node 17 to node 4 with capacity 4,\nan edge from node 17 to node 16 with capacity 14,\nan edge from node 17 to node 12 with capacity 20,\nan edge from node 18 to node 7 with capacity 14,\nan edge from node 18 to node 16 with capacity 16,\nan edge from node 18 to node 10 with capacity 9,\nWhat is the maximum flow from node 3 to node 8:"
            },
            {
                "from": "gpt",
                "value": "10."
            }
        ]
    },
    {
        "id": "flow-hard-graph794",
        "image": "data/flow/graph_visual/hard/graph794.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 2 with capacity 5,\nan edge from node 0 to node 11 with capacity 17,\nan edge from node 0 to node 8 with capacity 7,\nan edge from node 0 to node 16 with capacity 16,\nan edge from node 0 to node 15 with capacity 5,\nan edge from node 1 to node 12 with capacity 7,\nan edge from node 2 to node 11 with capacity 20,\nan edge from node 2 to node 10 with capacity 10,\nan edge from node 2 to node 7 with capacity 1,\nan edge from node 2 to node 15 with capacity 3,\nan edge from node 2 to node 12 with capacity 13,\nan edge from node 2 to node 4 with capacity 2,\nan edge from node 3 to node 6 with capacity 13,\nan edge from node 3 to node 12 with capacity 18,\nan edge from node 4 to node 14 with capacity 19,\nan edge from node 4 to node 8 with capacity 1,\nan edge from node 4 to node 9 with capacity 15,\nan edge from node 4 to node 15 with capacity 11,\nan edge from node 4 to node 0 with capacity 1,\nan edge from node 5 to node 13 with capacity 12,\nan edge from node 5 to node 8 with capacity 20,\nan edge from node 5 to node 6 with capacity 4,\nan edge from node 5 to node 9 with capacity 5,\nan edge from node 5 to node 15 with capacity 4,\nan edge from node 5 to node 1 with capacity 18,\nan edge from node 6 to node 14 with capacity 4,\nan edge from node 6 to node 2 with capacity 12,\nan edge from node 6 to node 11 with capacity 4,\nan edge from node 6 to node 10 with capacity 20,\nan edge from node 6 to node 0 with capacity 5,\nan edge from node 7 to node 16 with capacity 1,\nan edge from node 7 to node 1 with capacity 2,\nan edge from node 7 to node 5 with capacity 3,\nan edge from node 9 to node 13 with capacity 20,\nan edge from node 9 to node 3 with capacity 3,\nan edge from node 9 to node 1 with capacity 18,\nan edge from node 9 to node 12 with capacity 13,\nan edge from node 10 to node 8 with capacity 8,\nan edge from node 10 to node 7 with capacity 3,\nan edge from node 10 to node 15 with capacity 13,\nan edge from node 11 to node 3 with capacity 10,\nan edge from node 11 to node 9 with capacity 17,\nan edge from node 11 to node 12 with capacity 19,\nan edge from node 11 to node 5 with capacity 18,\nan edge from node 12 to node 8 with capacity 7,\nan edge from node 12 to node 16 with capacity 12,\nan edge from node 12 to node 5 with capacity 13,\nan edge from node 13 to node 2 with capacity 2,\nan edge from node 13 to node 11 with capacity 17,\nan edge from node 13 to node 16 with capacity 14,\nan edge from node 14 to node 3 with capacity 13,\nan edge from node 14 to node 7 with capacity 4,\nan edge from node 14 to node 16 with capacity 11,\nan edge from node 14 to node 15 with capacity 12,\nan edge from node 15 to node 14 with capacity 12,\nan edge from node 15 to node 2 with capacity 4,\nan edge from node 15 to node 3 with capacity 12,\nan edge from node 15 to node 9 with capacity 10,\nan edge from node 16 to node 2 with capacity 7,\nan edge from node 16 to node 13 with capacity 10,\nan edge from node 16 to node 7 with capacity 13,\nan edge from node 16 to node 1 with capacity 19,\nan edge from node 16 to node 5 with capacity 14,\nWhat is the maximum flow from node 1 to node 4:"
            },
            {
                "from": "gpt",
                "value": "2."
            }
        ]
    },
    {
        "id": "flow-hard-graph349",
        "image": "data/flow/graph_visual/hard/graph349.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 10 with capacity 12,\nan edge from node 0 to node 11 with capacity 20,\nan edge from node 0 to node 8 with capacity 17,\nan edge from node 0 to node 2 with capacity 20,\nan edge from node 1 to node 11 with capacity 12,\nan edge from node 1 to node 0 with capacity 10,\nan edge from node 1 to node 7 with capacity 6,\nan edge from node 2 to node 3 with capacity 12,\nan edge from node 2 to node 11 with capacity 17,\nan edge from node 2 to node 4 with capacity 4,\nan edge from node 2 to node 6 with capacity 11,\nan edge from node 2 to node 7 with capacity 15,\nan edge from node 2 to node 12 with capacity 3,\nan edge from node 3 to node 9 with capacity 3,\nan edge from node 3 to node 8 with capacity 13,\nan edge from node 4 to node 3 with capacity 14,\nan edge from node 4 to node 11 with capacity 16,\nan edge from node 4 to node 1 with capacity 8,\nan edge from node 5 to node 9 with capacity 8,\nan edge from node 5 to node 11 with capacity 17,\nan edge from node 5 to node 6 with capacity 10,\nan edge from node 5 to node 12 with capacity 13,\nan edge from node 6 to node 5 with capacity 13,\nan edge from node 6 to node 4 with capacity 2,\nan edge from node 6 to node 1 with capacity 17,\nan edge from node 7 to node 3 with capacity 8,\nan edge from node 7 to node 5 with capacity 8,\nan edge from node 8 to node 5 with capacity 20,\nan edge from node 8 to node 11 with capacity 18,\nan edge from node 8 to node 0 with capacity 19,\nan edge from node 8 to node 1 with capacity 17,\nan edge from node 8 to node 12 with capacity 17,\nan edge from node 9 to node 10 with capacity 11,\nan edge from node 9 to node 3 with capacity 11,\nan edge from node 10 to node 8 with capacity 3,\nan edge from node 10 to node 0 with capacity 7,\nan edge from node 11 to node 10 with capacity 3,\nan edge from node 11 to node 3 with capacity 19,\nan edge from node 11 to node 5 with capacity 11,\nan edge from node 11 to node 2 with capacity 19,\nan edge from node 12 to node 4 with capacity 18,\nan edge from node 12 to node 7 with capacity 2,\nWhat is the maximum flow from node 2 to node 9:"
            },
            {
                "from": "gpt",
                "value": "11."
            }
        ]
    },
    {
        "id": "flow-hard-graph952",
        "image": "data/flow/graph_visual/hard/graph952.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 3 with capacity 2,\nan edge from node 1 to node 17 with capacity 4,\nan edge from node 1 to node 9 with capacity 8,\nan edge from node 1 to node 14 with capacity 10,\nan edge from node 1 to node 12 with capacity 11,\nan edge from node 2 to node 4 with capacity 5,\nan edge from node 2 to node 1 with capacity 15,\nan edge from node 2 to node 14 with capacity 9,\nan edge from node 3 to node 16 with capacity 14,\nan edge from node 3 to node 4 with capacity 5,\nan edge from node 3 to node 2 with capacity 12,\nan edge from node 4 to node 17 with capacity 17,\nan edge from node 4 to node 3 with capacity 12,\nan edge from node 4 to node 8 with capacity 11,\nan edge from node 4 to node 15 with capacity 9,\nan edge from node 4 to node 13 with capacity 17,\nan edge from node 4 to node 1 with capacity 9,\nan edge from node 4 to node 14 with capacity 6,\nan edge from node 4 to node 5 with capacity 14,\nan edge from node 5 to node 0 with capacity 6,\nan edge from node 5 to node 1 with capacity 20,\nan edge from node 5 to node 14 with capacity 11,\nan edge from node 6 to node 11 with capacity 10,\nan edge from node 6 to node 7 with capacity 11,\nan edge from node 6 to node 8 with capacity 14,\nan edge from node 6 to node 15 with capacity 3,\nan edge from node 6 to node 9 with capacity 13,\nan edge from node 6 to node 13 with capacity 3,\nan edge from node 6 to node 4 with capacity 6,\nan edge from node 6 to node 1 with capacity 4,\nan edge from node 6 to node 12 with capacity 6,\nan edge from node 7 to node 10 with capacity 7,\nan edge from node 7 to node 16 with capacity 16,\nan edge from node 7 to node 1 with capacity 10,\nan edge from node 8 to node 11 with capacity 7,\nan edge from node 8 to node 0 with capacity 5,\nan edge from node 8 to node 5 with capacity 10,\nan edge from node 9 to node 3 with capacity 14,\nan edge from node 9 to node 0 with capacity 5,\nan edge from node 9 to node 10 with capacity 18,\nan edge from node 9 to node 14 with capacity 8,\nan edge from node 10 to node 7 with capacity 5,\nan edge from node 10 to node 9 with capacity 4,\nan edge from node 10 to node 2 with capacity 14,\nan edge from node 11 to node 10 with capacity 15,\nan edge from node 11 to node 14 with capacity 15,\nan edge from node 12 to node 3 with capacity 7,\nan edge from node 12 to node 8 with capacity 9,\nan edge from node 12 to node 15 with capacity 1,\nan edge from node 12 to node 16 with capacity 2,\nan edge from node 12 to node 1 with capacity 7,\nan edge from node 12 to node 2 with capacity 19,\nan edge from node 13 to node 14 with capacity 9,\nan edge from node 14 to node 3 with capacity 18,\nan edge from node 14 to node 0 with capacity 19,\nan edge from node 14 to node 10 with capacity 7,\nan edge from node 15 to node 13 with capacity 9,\nan edge from node 15 to node 12 with capacity 16,\nan edge from node 16 to node 6 with capacity 13,\nan edge from node 16 to node 10 with capacity 17,\nan edge from node 16 to node 4 with capacity 16,\nan edge from node 16 to node 1 with capacity 2,\nan edge from node 16 to node 2 with capacity 14,\nan edge from node 17 to node 7 with capacity 17,\nan edge from node 17 to node 8 with capacity 1,\nan edge from node 17 to node 10 with capacity 14,\nan edge from node 17 to node 4 with capacity 8,\nan edge from node 17 to node 5 with capacity 1,\nWhat is the maximum flow from node 7 to node 0:"
            },
            {
                "from": "gpt",
                "value": "33."
            }
        ]
    },
    {
        "id": "flow-hard-graph571",
        "image": "data/flow/graph_visual/hard/graph571.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 12 with capacity 11,\nan edge from node 0 to node 2 with capacity 8,\nan edge from node 0 to node 11 with capacity 17,\nan edge from node 1 to node 7 with capacity 8,\nan edge from node 1 to node 4 with capacity 5,\nan edge from node 1 to node 2 with capacity 13,\nan edge from node 1 to node 11 with capacity 15,\nan edge from node 1 to node 14 with capacity 3,\nan edge from node 2 to node 4 with capacity 17,\nan edge from node 2 to node 14 with capacity 19,\nan edge from node 3 to node 8 with capacity 10,\nan edge from node 3 to node 4 with capacity 12,\nan edge from node 3 to node 11 with capacity 4,\nan edge from node 3 to node 5 with capacity 6,\nan edge from node 4 to node 13 with capacity 20,\nan edge from node 4 to node 7 with capacity 14,\nan edge from node 4 to node 11 with capacity 18,\nan edge from node 4 to node 14 with capacity 4,\nan edge from node 4 to node 5 with capacity 11,\nan edge from node 5 to node 13 with capacity 18,\nan edge from node 5 to node 9 with capacity 8,\nan edge from node 5 to node 6 with capacity 9,\nan edge from node 6 to node 7 with capacity 7,\nan edge from node 6 to node 2 with capacity 12,\nan edge from node 6 to node 14 with capacity 2,\nan edge from node 7 to node 9 with capacity 14,\nan edge from node 7 to node 3 with capacity 10,\nan edge from node 8 to node 9 with capacity 16,\nan edge from node 8 to node 2 with capacity 8,\nan edge from node 8 to node 1 with capacity 14,\nan edge from node 8 to node 5 with capacity 20,\nan edge from node 9 to node 8 with capacity 11,\nan edge from node 9 to node 4 with capacity 4,\nan edge from node 9 to node 2 with capacity 10,\nan edge from node 9 to node 11 with capacity 7,\nan edge from node 9 to node 1 with capacity 5,\nan edge from node 9 to node 14 with capacity 16,\nan edge from node 10 to node 8 with capacity 8,\nan edge from node 10 to node 0 with capacity 1,\nan edge from node 11 to node 13 with capacity 11,\nan edge from node 11 to node 9 with capacity 12,\nan edge from node 11 to node 10 with capacity 13,\nan edge from node 11 to node 2 with capacity 7,\nan edge from node 11 to node 3 with capacity 18,\nan edge from node 12 to node 7 with capacity 3,\nan edge from node 12 to node 2 with capacity 19,\nan edge from node 12 to node 6 with capacity 15,\nan edge from node 12 to node 1 with capacity 20,\nan edge from node 13 to node 8 with capacity 19,\nan edge from node 13 to node 9 with capacity 8,\nan edge from node 13 to node 2 with capacity 14,\nan edge from node 13 to node 6 with capacity 9,\nan edge from node 13 to node 3 with capacity 18,\nan edge from node 13 to node 14 with capacity 6,\nan edge from node 13 to node 5 with capacity 14,\nan edge from node 14 to node 6 with capacity 13,\nan edge from node 14 to node 0 with capacity 16,\nan edge from node 14 to node 5 with capacity 18,\nWhat is the maximum flow from node 14 to node 3:"
            },
            {
                "from": "gpt",
                "value": "46."
            }
        ]
    },
    {
        "id": "flow-hard-graph239",
        "image": "data/flow/graph_visual/hard/graph239.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 2 with capacity 7,\nan edge from node 0 to node 3 with capacity 2,\nan edge from node 1 to node 2 with capacity 10,\nan edge from node 1 to node 5 with capacity 1,\nan edge from node 2 to node 1 with capacity 10,\nan edge from node 2 to node 3 with capacity 4,\nan edge from node 3 to node 4 with capacity 17,\nan edge from node 3 to node 7 with capacity 8,\nan edge from node 3 to node 10 with capacity 2,\nan edge from node 4 to node 0 with capacity 3,\nan edge from node 4 to node 10 with capacity 5,\nan edge from node 5 to node 9 with capacity 18,\nan edge from node 5 to node 1 with capacity 19,\nan edge from node 5 to node 2 with capacity 19,\nan edge from node 5 to node 4 with capacity 3,\nan edge from node 5 to node 7 with capacity 1,\nan edge from node 6 to node 9 with capacity 20,\nan edge from node 6 to node 11 with capacity 20,\nan edge from node 6 to node 0 with capacity 11,\nan edge from node 6 to node 3 with capacity 17,\nan edge from node 6 to node 10 with capacity 20,\nan edge from node 7 to node 4 with capacity 13,\nan edge from node 7 to node 0 with capacity 15,\nan edge from node 7 to node 10 with capacity 6,\nan edge from node 8 to node 1 with capacity 16,\nan edge from node 8 to node 10 with capacity 11,\nan edge from node 9 to node 6 with capacity 4,\nan edge from node 10 to node 9 with capacity 16,\nan edge from node 10 to node 8 with capacity 20,\nan edge from node 10 to node 0 with capacity 18,\nan edge from node 11 to node 2 with capacity 3,\nan edge from node 11 to node 4 with capacity 4,\nan edge from node 11 to node 8 with capacity 2,\nan edge from node 11 to node 7 with capacity 7,\nan edge from node 11 to node 6 with capacity 13,\nWhat is the maximum flow from node 4 to node 2:"
            },
            {
                "from": "gpt",
                "value": "8."
            }
        ]
    },
    {
        "id": "flow-hard-graph143",
        "image": "data/flow/graph_visual/hard/graph143.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 4 with capacity 1,\nan edge from node 0 to node 9 with capacity 15,\nan edge from node 0 to node 7 with capacity 17,\nan edge from node 0 to node 11 with capacity 11,\nan edge from node 1 to node 4 with capacity 1,\nan edge from node 1 to node 7 with capacity 10,\nan edge from node 2 to node 10 with capacity 3,\nan edge from node 2 to node 9 with capacity 14,\nan edge from node 3 to node 1 with capacity 2,\nan edge from node 3 to node 4 with capacity 6,\nan edge from node 3 to node 8 with capacity 5,\nan edge from node 4 to node 3 with capacity 2,\nan edge from node 4 to node 7 with capacity 10,\nan edge from node 4 to node 11 with capacity 7,\nan edge from node 5 to node 3 with capacity 7,\nan edge from node 5 to node 0 with capacity 16,\nan edge from node 6 to node 3 with capacity 3,\nan edge from node 6 to node 10 with capacity 3,\nan edge from node 6 to node 0 with capacity 2,\nan edge from node 6 to node 8 with capacity 14,\nan edge from node 7 to node 5 with capacity 11,\nan edge from node 7 to node 3 with capacity 16,\nan edge from node 8 to node 10 with capacity 14,\nan edge from node 8 to node 11 with capacity 16,\nan edge from node 8 to node 6 with capacity 8,\nan edge from node 8 to node 2 with capacity 17,\nan edge from node 9 to node 5 with capacity 3,\nan edge from node 9 to node 3 with capacity 5,\nan edge from node 9 to node 2 with capacity 14,\nan edge from node 10 to node 7 with capacity 10,\nan edge from node 10 to node 11 with capacity 6,\nan edge from node 10 to node 6 with capacity 20,\nan edge from node 10 to node 2 with capacity 2,\nan edge from node 11 to node 5 with capacity 20,\nan edge from node 11 to node 3 with capacity 4,\nan edge from node 11 to node 9 with capacity 6,\nan edge from node 11 to node 6 with capacity 13,\nWhat is the maximum flow from node 5 to node 0:"
            },
            {
                "from": "gpt",
                "value": "18."
            }
        ]
    },
    {
        "id": "flow-hard-graph954",
        "image": "data/flow/graph_visual/hard/graph954.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 2 with capacity 4,\nan edge from node 0 to node 16 with capacity 5,\nan edge from node 0 to node 3 with capacity 9,\nan edge from node 1 to node 11 with capacity 2,\nan edge from node 1 to node 0 with capacity 6,\nan edge from node 1 to node 15 with capacity 5,\nan edge from node 1 to node 2 with capacity 13,\nan edge from node 1 to node 16 with capacity 6,\nan edge from node 2 to node 14 with capacity 15,\nan edge from node 2 to node 4 with capacity 9,\nan edge from node 2 to node 17 with capacity 19,\nan edge from node 3 to node 12 with capacity 9,\nan edge from node 3 to node 4 with capacity 9,\nan edge from node 3 to node 6 with capacity 18,\nan edge from node 3 to node 7 with capacity 4,\nan edge from node 3 to node 9 with capacity 9,\nan edge from node 4 to node 12 with capacity 1,\nan edge from node 5 to node 4 with capacity 15,\nan edge from node 5 to node 3 with capacity 6,\nan edge from node 5 to node 1 with capacity 6,\nan edge from node 6 to node 11 with capacity 20,\nan edge from node 6 to node 15 with capacity 5,\nan edge from node 6 to node 2 with capacity 13,\nan edge from node 6 to node 10 with capacity 11,\nan edge from node 6 to node 7 with capacity 18,\nan edge from node 6 to node 1 with capacity 7,\nan edge from node 6 to node 9 with capacity 12,\nan edge from node 6 to node 13 with capacity 12,\nan edge from node 7 to node 12 with capacity 8,\nan edge from node 7 to node 10 with capacity 8,\nan edge from node 8 to node 12 with capacity 6,\nan edge from node 8 to node 11 with capacity 5,\nan edge from node 8 to node 15 with capacity 12,\nan edge from node 8 to node 10 with capacity 19,\nan edge from node 8 to node 13 with capacity 3,\nan edge from node 9 to node 1 with capacity 5,\nan edge from node 10 to node 2 with capacity 10,\nan edge from node 10 to node 16 with capacity 12,\nan edge from node 10 to node 9 with capacity 7,\nan edge from node 10 to node 13 with capacity 14,\nan edge from node 11 to node 8 with capacity 15,\nan edge from node 11 to node 17 with capacity 17,\nan edge from node 11 to node 6 with capacity 1,\nan edge from node 12 to node 0 with capacity 11,\nan edge from node 12 to node 2 with capacity 16,\nan edge from node 12 to node 10 with capacity 4,\nan edge from node 12 to node 14 with capacity 17,\nan edge from node 12 to node 8 with capacity 10,\nan edge from node 12 to node 13 with capacity 2,\nan edge from node 13 to node 0 with capacity 10,\nan edge from node 13 to node 6 with capacity 13,\nan edge from node 13 to node 1 with capacity 18,\nan edge from node 14 to node 0 with capacity 2,\nan edge from node 14 to node 15 with capacity 8,\nan edge from node 14 to node 16 with capacity 10,\nan edge from node 15 to node 12 with capacity 8,\nan edge from node 15 to node 11 with capacity 1,\nan edge from node 15 to node 2 with capacity 14,\nan edge from node 15 to node 8 with capacity 3,\nan edge from node 15 to node 6 with capacity 18,\nan edge from node 15 to node 1 with capacity 8,\nan edge from node 15 to node 13 with capacity 6,\nan edge from node 16 to node 0 with capacity 10,\nan edge from node 16 to node 15 with capacity 11,\nan edge from node 16 to node 10 with capacity 9,\nan edge from node 16 to node 6 with capacity 14,\nan edge from node 17 to node 12 with capacity 7,\nan edge from node 17 to node 0 with capacity 10,\nan edge from node 17 to node 14 with capacity 11,\nan edge from node 17 to node 8 with capacity 10,\nan edge from node 17 to node 6 with capacity 7,\nan edge from node 17 to node 7 with capacity 7,\nWhat is the maximum flow from node 8 to node 16:"
            },
            {
                "from": "gpt",
                "value": "33."
            }
        ]
    },
    {
        "id": "flow-hard-graph396",
        "image": "data/flow/graph_visual/hard/graph396.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 10 with capacity 8,\nan edge from node 0 to node 1 with capacity 20,\nan edge from node 0 to node 5 with capacity 1,\nan edge from node 0 to node 11 with capacity 18,\nan edge from node 1 to node 11 with capacity 13,\nan edge from node 1 to node 9 with capacity 17,\nan edge from node 2 to node 11 with capacity 2,\nan edge from node 3 to node 6 with capacity 14,\nan edge from node 3 to node 1 with capacity 3,\nan edge from node 3 to node 11 with capacity 10,\nan edge from node 3 to node 12 with capacity 2,\nan edge from node 4 to node 6 with capacity 11,\nan edge from node 4 to node 7 with capacity 2,\nan edge from node 4 to node 2 with capacity 16,\nan edge from node 4 to node 8 with capacity 5,\nan edge from node 5 to node 6 with capacity 7,\nan edge from node 5 to node 12 with capacity 7,\nan edge from node 5 to node 9 with capacity 7,\nan edge from node 5 to node 13 with capacity 13,\nan edge from node 5 to node 2 with capacity 4,\nan edge from node 6 to node 7 with capacity 14,\nan edge from node 6 to node 3 with capacity 4,\nan edge from node 6 to node 11 with capacity 18,\nan edge from node 6 to node 13 with capacity 17,\nan edge from node 7 to node 6 with capacity 19,\nan edge from node 7 to node 3 with capacity 18,\nan edge from node 7 to node 9 with capacity 13,\nan edge from node 8 to node 6 with capacity 10,\nan edge from node 8 to node 5 with capacity 20,\nan edge from node 8 to node 9 with capacity 12,\nan edge from node 8 to node 2 with capacity 16,\nan edge from node 9 to node 7 with capacity 1,\nan edge from node 9 to node 1 with capacity 6,\nan edge from node 9 to node 3 with capacity 17,\nan edge from node 9 to node 5 with capacity 14,\nan edge from node 9 to node 12 with capacity 8,\nan edge from node 9 to node 2 with capacity 3,\nan edge from node 9 to node 8 with capacity 5,\nan edge from node 10 to node 7 with capacity 9,\nan edge from node 10 to node 3 with capacity 15,\nan edge from node 10 to node 5 with capacity 1,\nan edge from node 10 to node 11 with capacity 5,\nan edge from node 10 to node 0 with capacity 12,\nan edge from node 10 to node 12 with capacity 1,\nan edge from node 10 to node 13 with capacity 19,\nan edge from node 11 to node 12 with capacity 2,\nan edge from node 12 to node 4 with capacity 11,\nan edge from node 12 to node 11 with capacity 11,\nan edge from node 12 to node 9 with capacity 8,\nan edge from node 13 to node 5 with capacity 17,\nan edge from node 13 to node 0 with capacity 8,\nan edge from node 13 to node 9 with capacity 19,\nan edge from node 13 to node 8 with capacity 19,\nWhat is the maximum flow from node 10 to node 3:"
            },
            {
                "from": "gpt",
                "value": "54."
            }
        ]
    },
    {
        "id": "flow-hard-graph610",
        "image": "data/flow/graph_visual/hard/graph610.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 9 with capacity 14,\nan edge from node 0 to node 1 with capacity 15,\nan edge from node 0 to node 5 with capacity 13,\nan edge from node 0 to node 10 with capacity 4,\nan edge from node 1 to node 4 with capacity 12,\nan edge from node 1 to node 0 with capacity 8,\nan edge from node 1 to node 3 with capacity 17,\nan edge from node 2 to node 9 with capacity 17,\nan edge from node 2 to node 1 with capacity 18,\nan edge from node 2 to node 12 with capacity 14,\nan edge from node 2 to node 14 with capacity 19,\nan edge from node 2 to node 5 with capacity 13,\nan edge from node 2 to node 10 with capacity 15,\nan edge from node 3 to node 9 with capacity 3,\nan edge from node 3 to node 2 with capacity 18,\nan edge from node 3 to node 13 with capacity 1,\nan edge from node 4 to node 9 with capacity 15,\nan edge from node 4 to node 12 with capacity 15,\nan edge from node 4 to node 14 with capacity 1,\nan edge from node 4 to node 8 with capacity 14,\nan edge from node 5 to node 9 with capacity 17,\nan edge from node 5 to node 2 with capacity 9,\nan edge from node 5 to node 7 with capacity 9,\nan edge from node 6 to node 12 with capacity 14,\nan edge from node 6 to node 11 with capacity 3,\nan edge from node 6 to node 5 with capacity 10,\nan edge from node 6 to node 0 with capacity 14,\nan edge from node 6 to node 3 with capacity 12,\nan edge from node 6 to node 8 with capacity 14,\nan edge from node 7 to node 12 with capacity 2,\nan edge from node 7 to node 0 with capacity 1,\nan edge from node 7 to node 6 with capacity 11,\nan edge from node 8 to node 1 with capacity 7,\nan edge from node 8 to node 13 with capacity 11,\nan edge from node 8 to node 15 with capacity 16,\nan edge from node 9 to node 4 with capacity 16,\nan edge from node 9 to node 5 with capacity 17,\nan edge from node 9 to node 3 with capacity 16,\nan edge from node 9 to node 8 with capacity 6,\nan edge from node 10 to node 9 with capacity 10,\nan edge from node 10 to node 12 with capacity 2,\nan edge from node 10 to node 7 with capacity 1,\nan edge from node 10 to node 11 with capacity 5,\nan edge from node 10 to node 3 with capacity 17,\nan edge from node 10 to node 13 with capacity 14,\nan edge from node 10 to node 8 with capacity 8,\nan edge from node 11 to node 7 with capacity 4,\nan edge from node 11 to node 13 with capacity 1,\nan edge from node 11 to node 15 with capacity 17,\nan edge from node 12 to node 9 with capacity 11,\nan edge from node 12 to node 1 with capacity 13,\nan edge from node 12 to node 7 with capacity 16,\nan edge from node 13 to node 1 with capacity 1,\nan edge from node 13 to node 15 with capacity 1,\nan edge from node 14 to node 9 with capacity 19,\nan edge from node 14 to node 2 with capacity 13,\nan edge from node 15 to node 0 with capacity 5,\nan edge from node 15 to node 3 with capacity 14,\nWhat is the maximum flow from node 4 to node 10:"
            },
            {
                "from": "gpt",
                "value": "19."
            }
        ]
    },
    {
        "id": "flow-hard-graph618",
        "image": "data/flow/graph_visual/hard/graph618.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 6 with capacity 11,\nan edge from node 0 to node 10 with capacity 13,\nan edge from node 1 to node 9 with capacity 18,\nan edge from node 1 to node 13 with capacity 20,\nan edge from node 1 to node 10 with capacity 1,\nan edge from node 2 to node 13 with capacity 14,\nan edge from node 3 to node 8 with capacity 9,\nan edge from node 3 to node 6 with capacity 16,\nan edge from node 4 to node 2 with capacity 7,\nan edge from node 4 to node 9 with capacity 15,\nan edge from node 4 to node 6 with capacity 13,\nan edge from node 5 to node 1 with capacity 17,\nan edge from node 5 to node 9 with capacity 6,\nan edge from node 5 to node 3 with capacity 19,\nan edge from node 5 to node 4 with capacity 17,\nan edge from node 5 to node 6 with capacity 14,\nan edge from node 6 to node 1 with capacity 9,\nan edge from node 6 to node 15 with capacity 6,\nan edge from node 6 to node 0 with capacity 5,\nan edge from node 6 to node 4 with capacity 14,\nan edge from node 7 to node 14 with capacity 7,\nan edge from node 7 to node 15 with capacity 6,\nan edge from node 7 to node 5 with capacity 7,\nan edge from node 7 to node 9 with capacity 4,\nan edge from node 7 to node 3 with capacity 12,\nan edge from node 7 to node 6 with capacity 16,\nan edge from node 8 to node 1 with capacity 11,\nan edge from node 8 to node 11 with capacity 2,\nan edge from node 8 to node 5 with capacity 13,\nan edge from node 8 to node 9 with capacity 2,\nan edge from node 8 to node 0 with capacity 9,\nan edge from node 9 to node 7 with capacity 4,\nan edge from node 9 to node 14 with capacity 2,\nan edge from node 10 to node 2 with capacity 5,\nan edge from node 10 to node 8 with capacity 6,\nan edge from node 10 to node 4 with capacity 5,\nan edge from node 11 to node 2 with capacity 15,\nan edge from node 11 to node 12 with capacity 15,\nan edge from node 11 to node 9 with capacity 6,\nan edge from node 11 to node 4 with capacity 10,\nan edge from node 12 to node 2 with capacity 5,\nan edge from node 12 to node 15 with capacity 5,\nan edge from node 12 to node 8 with capacity 9,\nan edge from node 12 to node 3 with capacity 10,\nan edge from node 12 to node 0 with capacity 11,\nan edge from node 12 to node 13 with capacity 7,\nan edge from node 13 to node 2 with capacity 1,\nan edge from node 13 to node 14 with capacity 7,\nan edge from node 13 to node 11 with capacity 3,\nan edge from node 13 to node 8 with capacity 9,\nan edge from node 13 to node 9 with capacity 2,\nan edge from node 14 to node 8 with capacity 20,\nan edge from node 14 to node 5 with capacity 10,\nan edge from node 14 to node 10 with capacity 6,\nWhat is the maximum flow from node 11 to node 8:"
            },
            {
                "from": "gpt",
                "value": "43."
            }
        ]
    },
    {
        "id": "flow-hard-graph725",
        "image": "data/flow/graph_visual/hard/graph725.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 3 with capacity 17,\nan edge from node 0 to node 1 with capacity 16,\nan edge from node 1 to node 3 with capacity 7,\nan edge from node 1 to node 4 with capacity 12,\nan edge from node 1 to node 5 with capacity 4,\nan edge from node 1 to node 15 with capacity 12,\nan edge from node 2 to node 7 with capacity 2,\nan edge from node 2 to node 8 with capacity 19,\nan edge from node 2 to node 16 with capacity 6,\nan edge from node 3 to node 2 with capacity 19,\nan edge from node 3 to node 10 with capacity 16,\nan edge from node 4 to node 13 with capacity 8,\nan edge from node 4 to node 6 with capacity 3,\nan edge from node 4 to node 14 with capacity 15,\nan edge from node 4 to node 9 with capacity 4,\nan edge from node 4 to node 15 with capacity 12,\nan edge from node 5 to node 11 with capacity 17,\nan edge from node 5 to node 3 with capacity 18,\nan edge from node 5 to node 16 with capacity 3,\nan edge from node 6 to node 12 with capacity 3,\nan edge from node 6 to node 1 with capacity 6,\nan edge from node 6 to node 5 with capacity 2,\nan edge from node 7 to node 2 with capacity 6,\nan edge from node 7 to node 6 with capacity 12,\nan edge from node 7 to node 8 with capacity 18,\nan edge from node 8 to node 4 with capacity 14,\nan edge from node 8 to node 14 with capacity 17,\nan edge from node 8 to node 1 with capacity 20,\nan edge from node 9 to node 12 with capacity 20,\nan edge from node 9 to node 3 with capacity 15,\nan edge from node 9 to node 1 with capacity 3,\nan edge from node 10 to node 3 with capacity 19,\nan edge from node 10 to node 16 with capacity 9,\nan edge from node 10 to node 14 with capacity 6,\nan edge from node 11 to node 0 with capacity 3,\nan edge from node 11 to node 7 with capacity 10,\nan edge from node 11 to node 16 with capacity 12,\nan edge from node 11 to node 5 with capacity 12,\nan edge from node 11 to node 9 with capacity 20,\nan edge from node 12 to node 16 with capacity 15,\nan edge from node 12 to node 5 with capacity 18,\nan edge from node 13 to node 3 with capacity 6,\nan edge from node 13 to node 14 with capacity 1,\nan edge from node 13 to node 5 with capacity 5,\nan edge from node 14 to node 7 with capacity 3,\nan edge from node 14 to node 10 with capacity 2,\nan edge from node 14 to node 16 with capacity 5,\nan edge from node 15 to node 12 with capacity 3,\nan edge from node 15 to node 4 with capacity 2,\nan edge from node 15 to node 10 with capacity 17,\nan edge from node 15 to node 16 with capacity 5,\nWhat is the maximum flow from node 11 to node 8:"
            },
            {
                "from": "gpt",
                "value": "32."
            }
        ]
    },
    {
        "id": "flow-hard-graph1140",
        "image": "data/flow/graph_visual/hard/graph1140.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 7 with capacity 8,\nan edge from node 0 to node 11 with capacity 2,\nan edge from node 0 to node 1 with capacity 4,\nan edge from node 0 to node 17 with capacity 16,\nan edge from node 0 to node 4 with capacity 6,\nan edge from node 1 to node 16 with capacity 10,\nan edge from node 1 to node 11 with capacity 5,\nan edge from node 1 to node 17 with capacity 6,\nan edge from node 1 to node 4 with capacity 3,\nan edge from node 1 to node 12 with capacity 20,\nan edge from node 2 to node 8 with capacity 3,\nan edge from node 2 to node 19 with capacity 18,\nan edge from node 2 to node 17 with capacity 13,\nan edge from node 3 to node 10 with capacity 2,\nan edge from node 3 to node 11 with capacity 3,\nan edge from node 3 to node 1 with capacity 10,\nan edge from node 3 to node 5 with capacity 14,\nan edge from node 3 to node 0 with capacity 11,\nan edge from node 4 to node 10 with capacity 6,\nan edge from node 4 to node 15 with capacity 3,\nan edge from node 4 to node 9 with capacity 16,\nan edge from node 4 to node 8 with capacity 5,\nan edge from node 4 to node 17 with capacity 8,\nan edge from node 5 to node 7 with capacity 2,\nan edge from node 5 to node 19 with capacity 4,\nan edge from node 5 to node 14 with capacity 3,\nan edge from node 6 to node 11 with capacity 2,\nan edge from node 6 to node 15 with capacity 12,\nan edge from node 6 to node 8 with capacity 2,\nan edge from node 6 to node 1 with capacity 8,\nan edge from node 6 to node 18 with capacity 19,\nan edge from node 6 to node 12 with capacity 8,\nan edge from node 7 to node 10 with capacity 14,\nan edge from node 7 to node 16 with capacity 6,\nan edge from node 7 to node 15 with capacity 3,\nan edge from node 8 to node 18 with capacity 6,\nan edge from node 8 to node 17 with capacity 14,\nan edge from node 8 to node 14 with capacity 3,\nan edge from node 9 to node 10 with capacity 19,\nan edge from node 9 to node 19 with capacity 19,\nan edge from node 9 to node 5 with capacity 12,\nan edge from node 9 to node 0 with capacity 1,\nan edge from node 10 to node 2 with capacity 7,\nan edge from node 10 to node 15 with capacity 8,\nan edge from node 10 to node 17 with capacity 16,\nan edge from node 10 to node 0 with capacity 2,\nan edge from node 11 to node 10 with capacity 16,\nan edge from node 11 to node 13 with capacity 17,\nan edge from node 11 to node 18 with capacity 18,\nan edge from node 11 to node 5 with capacity 5,\nan edge from node 11 to node 14 with capacity 2,\nan edge from node 11 to node 0 with capacity 8,\nan edge from node 12 to node 10 with capacity 19,\nan edge from node 12 to node 15 with capacity 19,\nan edge from node 12 to node 9 with capacity 10,\nan edge from node 12 to node 3 with capacity 16,\nan edge from node 13 to node 2 with capacity 20,\nan edge from node 13 to node 15 with capacity 11,\nan edge from node 13 to node 18 with capacity 1,\nan edge from node 13 to node 19 with capacity 15,\nan edge from node 13 to node 3 with capacity 6,\nan edge from node 14 to node 11 with capacity 8,\nan edge from node 14 to node 9 with capacity 4,\nan edge from node 14 to node 12 with capacity 17,\nan edge from node 15 to node 10 with capacity 2,\nan edge from node 15 to node 2 with capacity 2,\nan edge from node 15 to node 8 with capacity 17,\nan edge from node 15 to node 14 with capacity 10,\nan edge from node 15 to node 0 with capacity 7,\nan edge from node 15 to node 3 with capacity 10,\nan edge from node 16 to node 2 with capacity 2,\nan edge from node 16 to node 11 with capacity 4,\nan edge from node 16 to node 9 with capacity 1,\nan edge from node 16 to node 1 with capacity 13,\nan edge from node 16 to node 18 with capacity 13,\nan edge from node 16 to node 19 with capacity 6,\nan edge from node 16 to node 17 with capacity 14,\nan edge from node 16 to node 5 with capacity 20,\nan edge from node 16 to node 14 with capacity 6,\nan edge from node 16 to node 4 with capacity 5,\nan edge from node 16 to node 0 with capacity 16,\nan edge from node 17 to node 10 with capacity 17,\nan edge from node 17 to node 13 with capacity 3,\nan edge from node 18 to node 11 with capacity 11,\nan edge from node 18 to node 0 with capacity 8,\nan edge from node 19 to node 7 with capacity 16,\nan edge from node 19 to node 10 with capacity 12,\nan edge from node 19 to node 15 with capacity 6,\nan edge from node 19 to node 9 with capacity 3,\nan edge from node 19 to node 14 with capacity 4,\nWhat is the maximum flow from node 13 to node 11:"
            },
            {
                "from": "gpt",
                "value": "33."
            }
        ]
    },
    {
        "id": "flow-hard-graph505",
        "image": "data/flow/graph_visual/hard/graph505.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 10 with capacity 15,\nan edge from node 0 to node 8 with capacity 7,\nan edge from node 0 to node 9 with capacity 9,\nan edge from node 0 to node 4 with capacity 7,\nan edge from node 0 to node 3 with capacity 7,\nan edge from node 1 to node 10 with capacity 20,\nan edge from node 1 to node 8 with capacity 1,\nan edge from node 1 to node 13 with capacity 10,\nan edge from node 1 to node 14 with capacity 11,\nan edge from node 2 to node 8 with capacity 11,\nan edge from node 2 to node 4 with capacity 11,\nan edge from node 2 to node 13 with capacity 17,\nan edge from node 2 to node 14 with capacity 12,\nan edge from node 2 to node 6 with capacity 5,\nan edge from node 2 to node 0 with capacity 19,\nan edge from node 3 to node 13 with capacity 16,\nan edge from node 3 to node 11 with capacity 5,\nan edge from node 3 to node 12 with capacity 3,\nan edge from node 3 to node 7 with capacity 8,\nan edge from node 3 to node 14 with capacity 2,\nan edge from node 3 to node 2 with capacity 12,\nan edge from node 3 to node 6 with capacity 9,\nan edge from node 4 to node 13 with capacity 12,\nan edge from node 4 to node 6 with capacity 19,\nan edge from node 5 to node 7 with capacity 13,\nan edge from node 5 to node 6 with capacity 13,\nan edge from node 5 to node 1 with capacity 1,\nan edge from node 5 to node 0 with capacity 2,\nan edge from node 6 to node 8 with capacity 4,\nan edge from node 6 to node 13 with capacity 3,\nan edge from node 6 to node 11 with capacity 13,\nan edge from node 6 to node 7 with capacity 12,\nan edge from node 6 to node 1 with capacity 8,\nan edge from node 7 to node 10 with capacity 4,\nan edge from node 7 to node 0 with capacity 2,\nan edge from node 8 to node 12 with capacity 20,\nan edge from node 8 to node 6 with capacity 17,\nan edge from node 9 to node 4 with capacity 2,\nan edge from node 9 to node 14 with capacity 17,\nan edge from node 9 to node 6 with capacity 5,\nan edge from node 10 to node 5 with capacity 12,\nan edge from node 11 to node 3 with capacity 11,\nan edge from node 11 to node 2 with capacity 9,\nan edge from node 11 to node 1 with capacity 15,\nan edge from node 12 to node 4 with capacity 20,\nan edge from node 12 to node 0 with capacity 4,\nan edge from node 13 to node 10 with capacity 11,\nan edge from node 13 to node 11 with capacity 7,\nan edge from node 13 to node 12 with capacity 14,\nan edge from node 14 to node 9 with capacity 7,\nan edge from node 14 to node 13 with capacity 17,\nan edge from node 14 to node 6 with capacity 10,\nWhat is the maximum flow from node 10 to node 4:"
            },
            {
                "from": "gpt",
                "value": "12."
            }
        ]
    },
    {
        "id": "flow-hard-graph544",
        "image": "data/flow/graph_visual/hard/graph544.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 2 with capacity 9,\nan edge from node 0 to node 13 with capacity 14,\nan edge from node 0 to node 11 with capacity 15,\nan edge from node 0 to node 12 with capacity 18,\nan edge from node 0 to node 5 with capacity 20,\nan edge from node 1 to node 4 with capacity 19,\nan edge from node 1 to node 7 with capacity 5,\nan edge from node 1 to node 11 with capacity 11,\nan edge from node 2 to node 8 with capacity 19,\nan edge from node 2 to node 9 with capacity 12,\nan edge from node 2 to node 12 with capacity 16,\nan edge from node 2 to node 6 with capacity 13,\nan edge from node 3 to node 1 with capacity 20,\nan edge from node 3 to node 8 with capacity 12,\nan edge from node 3 to node 11 with capacity 3,\nan edge from node 4 to node 2 with capacity 4,\nan edge from node 4 to node 10 with capacity 4,\nan edge from node 5 to node 10 with capacity 16,\nan edge from node 5 to node 3 with capacity 13,\nan edge from node 6 to node 1 with capacity 14,\nan edge from node 6 to node 3 with capacity 15,\nan edge from node 6 to node 9 with capacity 16,\nan edge from node 6 to node 5 with capacity 9,\nan edge from node 7 to node 4 with capacity 5,\nan edge from node 7 to node 9 with capacity 14,\nan edge from node 7 to node 12 with capacity 16,\nan edge from node 8 to node 2 with capacity 7,\nan edge from node 8 to node 1 with capacity 15,\nan edge from node 8 to node 9 with capacity 7,\nan edge from node 8 to node 6 with capacity 19,\nan edge from node 9 to node 13 with capacity 15,\nan edge from node 10 to node 2 with capacity 15,\nan edge from node 10 to node 5 with capacity 16,\nan edge from node 11 to node 1 with capacity 18,\nan edge from node 12 to node 4 with capacity 11,\nan edge from node 12 to node 11 with capacity 13,\nan edge from node 12 to node 9 with capacity 9,\nan edge from node 12 to node 5 with capacity 20,\nan edge from node 12 to node 6 with capacity 15,\nan edge from node 13 to node 8 with capacity 19,\nan edge from node 13 to node 9 with capacity 7,\nan edge from node 13 to node 14 with capacity 5,\nan edge from node 14 to node 2 with capacity 7,\nan edge from node 14 to node 8 with capacity 2,\nan edge from node 14 to node 0 with capacity 11,\nWhat is the maximum flow from node 13 to node 3:"
            },
            {
                "from": "gpt",
                "value": "24."
            }
        ]
    },
    {
        "id": "flow-hard-graph339",
        "image": "data/flow/graph_visual/hard/graph339.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 4 with capacity 14,\nan edge from node 0 to node 7 with capacity 10,\nan edge from node 1 to node 12 with capacity 6,\nan edge from node 1 to node 10 with capacity 15,\nan edge from node 1 to node 6 with capacity 11,\nan edge from node 1 to node 7 with capacity 11,\nan edge from node 2 to node 0 with capacity 12,\nan edge from node 2 to node 5 with capacity 8,\nan edge from node 2 to node 4 with capacity 1,\nan edge from node 2 to node 8 with capacity 8,\nan edge from node 3 to node 0 with capacity 18,\nan edge from node 3 to node 11 with capacity 18,\nan edge from node 4 to node 5 with capacity 2,\nan edge from node 4 to node 9 with capacity 16,\nan edge from node 5 to node 2 with capacity 9,\nan edge from node 5 to node 12 with capacity 16,\nan edge from node 6 to node 12 with capacity 1,\nan edge from node 6 to node 7 with capacity 16,\nan edge from node 7 to node 3 with capacity 14,\nan edge from node 8 to node 1 with capacity 1,\nan edge from node 8 to node 12 with capacity 20,\nan edge from node 8 to node 10 with capacity 19,\nan edge from node 9 to node 7 with capacity 18,\nan edge from node 10 to node 11 with capacity 2,\nan edge from node 10 to node 2 with capacity 4,\nan edge from node 10 to node 1 with capacity 3,\nan edge from node 10 to node 8 with capacity 8,\nan edge from node 10 to node 7 with capacity 7,\nan edge from node 11 to node 3 with capacity 13,\nan edge from node 11 to node 4 with capacity 20,\nan edge from node 11 to node 6 with capacity 10,\nan edge from node 12 to node 11 with capacity 1,\nan edge from node 12 to node 2 with capacity 5,\nan edge from node 12 to node 5 with capacity 9,\nan edge from node 12 to node 1 with capacity 18,\nan edge from node 12 to node 4 with capacity 1,\nan edge from node 12 to node 7 with capacity 18,\nWhat is the maximum flow from node 8 to node 6:"
            },
            {
                "from": "gpt",
                "value": "21."
            }
        ]
    },
    {
        "id": "flow-hard-graph891",
        "image": "data/flow/graph_visual/hard/graph891.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 4 with capacity 3,\nan edge from node 0 to node 3 with capacity 6,\nan edge from node 0 to node 12 with capacity 20,\nan edge from node 0 to node 17 with capacity 10,\nan edge from node 0 to node 11 with capacity 10,\nan edge from node 0 to node 10 with capacity 13,\nan edge from node 1 to node 6 with capacity 18,\nan edge from node 1 to node 5 with capacity 1,\nan edge from node 1 to node 17 with capacity 2,\nan edge from node 1 to node 14 with capacity 4,\nan edge from node 1 to node 10 with capacity 2,\nan edge from node 1 to node 15 with capacity 13,\nan edge from node 1 to node 7 with capacity 7,\nan edge from node 1 to node 16 with capacity 3,\nan edge from node 2 to node 1 with capacity 16,\nan edge from node 2 to node 17 with capacity 14,\nan edge from node 2 to node 13 with capacity 4,\nan edge from node 2 to node 9 with capacity 6,\nan edge from node 2 to node 10 with capacity 5,\nan edge from node 2 to node 15 with capacity 15,\nan edge from node 2 to node 7 with capacity 12,\nan edge from node 2 to node 16 with capacity 3,\nan edge from node 3 to node 5 with capacity 14,\nan edge from node 3 to node 1 with capacity 3,\nan edge from node 3 to node 8 with capacity 8,\nan edge from node 3 to node 2 with capacity 14,\nan edge from node 4 to node 0 with capacity 17,\nan edge from node 4 to node 14 with capacity 10,\nan edge from node 4 to node 10 with capacity 16,\nan edge from node 4 to node 16 with capacity 15,\nan edge from node 5 to node 6 with capacity 6,\nan edge from node 5 to node 10 with capacity 9,\nan edge from node 5 to node 15 with capacity 13,\nan edge from node 6 to node 1 with capacity 15,\nan edge from node 6 to node 13 with capacity 16,\nan edge from node 6 to node 11 with capacity 16,\nan edge from node 7 to node 4 with capacity 18,\nan edge from node 7 to node 10 with capacity 12,\nan edge from node 8 to node 12 with capacity 14,\nan edge from node 8 to node 13 with capacity 15,\nan edge from node 8 to node 11 with capacity 2,\nan edge from node 9 to node 12 with capacity 7,\nan edge from node 9 to node 17 with capacity 8,\nan edge from node 9 to node 13 with capacity 20,\nan edge from node 9 to node 15 with capacity 14,\nan edge from node 10 to node 4 with capacity 7,\nan edge from node 10 to node 3 with capacity 17,\nan edge from node 10 to node 17 with capacity 11,\nan edge from node 10 to node 0 with capacity 6,\nan edge from node 10 to node 16 with capacity 8,\nan edge from node 11 to node 4 with capacity 8,\nan edge from node 11 to node 3 with capacity 2,\nan edge from node 11 to node 6 with capacity 10,\nan edge from node 11 to node 1 with capacity 1,\nan edge from node 11 to node 0 with capacity 16,\nan edge from node 12 to node 4 with capacity 5,\nan edge from node 12 to node 13 with capacity 4,\nan edge from node 12 to node 11 with capacity 17,\nan edge from node 13 to node 3 with capacity 11,\nan edge from node 13 to node 17 with capacity 15,\nan edge from node 13 to node 0 with capacity 5,\nan edge from node 13 to node 8 with capacity 14,\nan edge from node 13 to node 9 with capacity 14,\nan edge from node 14 to node 4 with capacity 20,\nan edge from node 14 to node 5 with capacity 6,\nan edge from node 14 to node 15 with capacity 5,\nan edge from node 15 to node 1 with capacity 1,\nan edge from node 15 to node 12 with capacity 5,\nan edge from node 15 to node 0 with capacity 6,\nan edge from node 15 to node 13 with capacity 9,\nan edge from node 15 to node 9 with capacity 19,\nan edge from node 16 to node 4 with capacity 9,\nan edge from node 16 to node 1 with capacity 6,\nan edge from node 16 to node 12 with capacity 13,\nan edge from node 16 to node 17 with capacity 1,\nan edge from node 16 to node 7 with capacity 4,\nan edge from node 17 to node 14 with capacity 5,\nWhat is the maximum flow from node 13 to node 5:"
            },
            {
                "from": "gpt",
                "value": "21."
            }
        ]
    },
    {
        "id": "flow-hard-graph1116",
        "image": "data/flow/graph_visual/hard/graph1116.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 17 with capacity 7,\nan edge from node 0 to node 16 with capacity 3,\nan edge from node 1 to node 11 with capacity 2,\nan edge from node 1 to node 7 with capacity 5,\nan edge from node 1 to node 16 with capacity 5,\nan edge from node 1 to node 2 with capacity 11,\nan edge from node 2 to node 12 with capacity 6,\nan edge from node 2 to node 17 with capacity 8,\nan edge from node 2 to node 6 with capacity 11,\nan edge from node 2 to node 9 with capacity 8,\nan edge from node 3 to node 11 with capacity 13,\nan edge from node 3 to node 0 with capacity 13,\nan edge from node 3 to node 12 with capacity 14,\nan edge from node 3 to node 10 with capacity 19,\nan edge from node 3 to node 18 with capacity 4,\nan edge from node 3 to node 9 with capacity 1,\nan edge from node 4 to node 0 with capacity 16,\nan edge from node 4 to node 17 with capacity 8,\nan edge from node 4 to node 19 with capacity 3,\nan edge from node 4 to node 15 with capacity 7,\nan edge from node 5 to node 8 with capacity 9,\nan edge from node 5 to node 0 with capacity 16,\nan edge from node 5 to node 12 with capacity 3,\nan edge from node 5 to node 18 with capacity 20,\nan edge from node 5 to node 6 with capacity 12,\nan edge from node 5 to node 14 with capacity 14,\nan edge from node 5 to node 2 with capacity 14,\nan edge from node 6 to node 1 with capacity 14,\nan edge from node 6 to node 17 with capacity 5,\nan edge from node 6 to node 4 with capacity 7,\nan edge from node 7 to node 5 with capacity 19,\nan edge from node 7 to node 1 with capacity 4,\nan edge from node 7 to node 8 with capacity 6,\nan edge from node 7 to node 6 with capacity 17,\nan edge from node 7 to node 15 with capacity 20,\nan edge from node 7 to node 9 with capacity 2,\nan edge from node 8 to node 1 with capacity 13,\nan edge from node 8 to node 0 with capacity 4,\nan edge from node 8 to node 6 with capacity 6,\nan edge from node 8 to node 19 with capacity 1,\nan edge from node 8 to node 14 with capacity 20,\nan edge from node 8 to node 15 with capacity 8,\nan edge from node 8 to node 16 with capacity 19,\nan edge from node 9 to node 5 with capacity 6,\nan edge from node 9 to node 8 with capacity 18,\nan edge from node 9 to node 0 with capacity 4,\nan edge from node 9 to node 17 with capacity 5,\nan edge from node 9 to node 4 with capacity 12,\nan edge from node 9 to node 13 with capacity 11,\nan edge from node 10 to node 3 with capacity 2,\nan edge from node 10 to node 7 with capacity 4,\nan edge from node 10 to node 8 with capacity 19,\nan edge from node 10 to node 4 with capacity 8,\nan edge from node 10 to node 19 with capacity 3,\nan edge from node 10 to node 14 with capacity 11,\nan edge from node 10 to node 15 with capacity 20,\nan edge from node 10 to node 16 with capacity 7,\nan edge from node 10 to node 2 with capacity 3,\nan edge from node 11 to node 5 with capacity 20,\nan edge from node 11 to node 3 with capacity 3,\nan edge from node 11 to node 10 with capacity 1,\nan edge from node 11 to node 19 with capacity 7,\nan edge from node 11 to node 15 with capacity 11,\nan edge from node 12 to node 5 with capacity 17,\nan edge from node 12 to node 3 with capacity 16,\nan edge from node 12 to node 18 with capacity 17,\nan edge from node 12 to node 6 with capacity 13,\nan edge from node 12 to node 15 with capacity 15,\nan edge from node 12 to node 9 with capacity 12,\nan edge from node 13 to node 19 with capacity 2,\nan edge from node 13 to node 9 with capacity 12,\nan edge from node 13 to node 16 with capacity 15,\nan edge from node 14 to node 3 with capacity 16,\nan edge from node 14 to node 17 with capacity 1,\nan edge from node 14 to node 10 with capacity 10,\nan edge from node 14 to node 18 with capacity 7,\nan edge from node 14 to node 9 with capacity 12,\nan edge from node 15 to node 5 with capacity 11,\nan edge from node 15 to node 3 with capacity 5,\nan edge from node 15 to node 11 with capacity 8,\nan edge from node 15 to node 12 with capacity 14,\nan edge from node 15 to node 17 with capacity 5,\nan edge from node 15 to node 18 with capacity 11,\nan edge from node 15 to node 14 with capacity 7,\nan edge from node 16 to node 11 with capacity 15,\nan edge from node 16 to node 7 with capacity 18,\nan edge from node 16 to node 0 with capacity 9,\nan edge from node 16 to node 15 with capacity 14,\nan edge from node 17 to node 3 with capacity 14,\nan edge from node 17 to node 7 with capacity 6,\nan edge from node 17 to node 8 with capacity 17,\nan edge from node 17 to node 0 with capacity 16,\nan edge from node 17 to node 6 with capacity 10,\nan edge from node 17 to node 13 with capacity 3,\nan edge from node 17 to node 2 with capacity 16,\nan edge from node 18 to node 5 with capacity 12,\nan edge from node 18 to node 17 with capacity 18,\nan edge from node 19 to node 11 with capacity 3,\nan edge from node 19 to node 8 with capacity 4,\nan edge from node 19 to node 14 with capacity 3,\nWhat is the maximum flow from node 16 to node 13:"
            },
            {
                "from": "gpt",
                "value": "14."
            }
        ]
    },
    {
        "id": "flow-hard-graph709",
        "image": "data/flow/graph_visual/hard/graph709.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 6 with capacity 11,\nan edge from node 0 to node 1 with capacity 6,\nan edge from node 0 to node 2 with capacity 19,\nan edge from node 0 to node 10 with capacity 7,\nan edge from node 0 to node 14 with capacity 16,\nan edge from node 1 to node 5 with capacity 20,\nan edge from node 1 to node 12 with capacity 7,\nan edge from node 2 to node 3 with capacity 8,\nan edge from node 2 to node 1 with capacity 7,\nan edge from node 2 to node 9 with capacity 8,\nan edge from node 3 to node 15 with capacity 1,\nan edge from node 3 to node 13 with capacity 12,\nan edge from node 3 to node 12 with capacity 7,\nan edge from node 3 to node 4 with capacity 8,\nan edge from node 4 to node 6 with capacity 18,\nan edge from node 4 to node 7 with capacity 1,\nan edge from node 4 to node 14 with capacity 2,\nan edge from node 5 to node 3 with capacity 19,\nan edge from node 5 to node 6 with capacity 20,\nan edge from node 5 to node 15 with capacity 14,\nan edge from node 5 to node 13 with capacity 11,\nan edge from node 6 to node 8 with capacity 9,\nan edge from node 6 to node 15 with capacity 6,\nan edge from node 6 to node 1 with capacity 20,\nan edge from node 6 to node 2 with capacity 1,\nan edge from node 6 to node 0 with capacity 2,\nan edge from node 7 to node 5 with capacity 11,\nan edge from node 7 to node 12 with capacity 19,\nan edge from node 7 to node 4 with capacity 4,\nan edge from node 8 to node 6 with capacity 2,\nan edge from node 8 to node 1 with capacity 8,\nan edge from node 8 to node 2 with capacity 2,\nan edge from node 8 to node 10 with capacity 16,\nan edge from node 8 to node 12 with capacity 14,\nan edge from node 8 to node 7 with capacity 4,\nan edge from node 8 to node 9 with capacity 11,\nan edge from node 9 to node 3 with capacity 13,\nan edge from node 9 to node 8 with capacity 12,\nan edge from node 9 to node 2 with capacity 4,\nan edge from node 9 to node 12 with capacity 5,\nan edge from node 9 to node 7 with capacity 5,\nan edge from node 10 to node 6 with capacity 2,\nan edge from node 10 to node 14 with capacity 7,\nan edge from node 11 to node 3 with capacity 2,\nan edge from node 11 to node 13 with capacity 20,\nan edge from node 11 to node 0 with capacity 11,\nan edge from node 12 to node 10 with capacity 20,\nan edge from node 12 to node 7 with capacity 11,\nan edge from node 12 to node 9 with capacity 9,\nan edge from node 13 to node 9 with capacity 16,\nan edge from node 13 to node 14 with capacity 1,\nan edge from node 14 to node 11 with capacity 2,\nan edge from node 14 to node 8 with capacity 2,\nan edge from node 14 to node 13 with capacity 14,\nan edge from node 14 to node 10 with capacity 17,\nan edge from node 14 to node 12 with capacity 6,\nan edge from node 14 to node 7 with capacity 5,\nan edge from node 14 to node 9 with capacity 2,\nan edge from node 14 to node 4 with capacity 1,\nan edge from node 15 to node 12 with capacity 20,\nan edge from node 15 to node 0 with capacity 16,\nWhat is the maximum flow from node 12 to node 15:"
            },
            {
                "from": "gpt",
                "value": "21."
            }
        ]
    },
    {
        "id": "flow-hard-graph619",
        "image": "data/flow/graph_visual/hard/graph619.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 11 with capacity 20,\nan edge from node 0 to node 10 with capacity 7,\nan edge from node 0 to node 4 with capacity 18,\nan edge from node 0 to node 8 with capacity 8,\nan edge from node 1 to node 3 with capacity 7,\nan edge from node 1 to node 5 with capacity 6,\nan edge from node 2 to node 9 with capacity 9,\nan edge from node 2 to node 14 with capacity 14,\nan edge from node 3 to node 9 with capacity 17,\nan edge from node 3 to node 13 with capacity 18,\nan edge from node 3 to node 4 with capacity 11,\nan edge from node 4 to node 1 with capacity 19,\nan edge from node 4 to node 0 with capacity 16,\nan edge from node 4 to node 8 with capacity 14,\nan edge from node 5 to node 6 with capacity 10,\nan edge from node 5 to node 14 with capacity 14,\nan edge from node 5 to node 7 with capacity 14,\nan edge from node 5 to node 8 with capacity 13,\nan edge from node 6 to node 1 with capacity 3,\nan edge from node 6 to node 11 with capacity 15,\nan edge from node 6 to node 14 with capacity 7,\nan edge from node 6 to node 7 with capacity 13,\nan edge from node 6 to node 5 with capacity 19,\nan edge from node 7 to node 2 with capacity 6,\nan edge from node 7 to node 10 with capacity 2,\nan edge from node 7 to node 14 with capacity 15,\nan edge from node 7 to node 5 with capacity 5,\nan edge from node 8 to node 12 with capacity 13,\nan edge from node 8 to node 1 with capacity 19,\nan edge from node 8 to node 0 with capacity 11,\nan edge from node 8 to node 15 with capacity 1,\nan edge from node 9 to node 6 with capacity 16,\nan edge from node 9 to node 0 with capacity 16,\nan edge from node 9 to node 14 with capacity 8,\nan edge from node 9 to node 5 with capacity 8,\nan edge from node 10 to node 2 with capacity 3,\nan edge from node 10 to node 11 with capacity 8,\nan edge from node 10 to node 6 with capacity 17,\nan edge from node 10 to node 0 with capacity 16,\nan edge from node 10 to node 3 with capacity 9,\nan edge from node 10 to node 14 with capacity 5,\nan edge from node 10 to node 13 with capacity 18,\nan edge from node 10 to node 4 with capacity 13,\nan edge from node 10 to node 8 with capacity 16,\nan edge from node 11 to node 2 with capacity 9,\nan edge from node 11 to node 10 with capacity 13,\nan edge from node 12 to node 10 with capacity 18,\nan edge from node 13 to node 6 with capacity 18,\nan edge from node 13 to node 7 with capacity 15,\nan edge from node 14 to node 12 with capacity 11,\nan edge from node 14 to node 1 with capacity 7,\nan edge from node 14 to node 9 with capacity 16,\nan edge from node 14 to node 6 with capacity 4,\nan edge from node 14 to node 7 with capacity 7,\nan edge from node 14 to node 15 with capacity 15,\nan edge from node 14 to node 13 with capacity 6,\nan edge from node 15 to node 9 with capacity 18,\nan edge from node 15 to node 13 with capacity 11,\nWhat is the maximum flow from node 9 to node 11:"
            },
            {
                "from": "gpt",
                "value": "43."
            }
        ]
    },
    {
        "id": "flow-hard-graph4",
        "image": "data/flow/graph_visual/hard/graph4.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 1 with capacity 19,\nan edge from node 0 to node 3 with capacity 13,\nan edge from node 0 to node 2 with capacity 9,\nan edge from node 0 to node 8 with capacity 12,\nan edge from node 2 to node 6 with capacity 17,\nan edge from node 2 to node 3 with capacity 7,\nan edge from node 3 to node 0 with capacity 13,\nan edge from node 3 to node 1 with capacity 12,\nan edge from node 4 to node 6 with capacity 1,\nan edge from node 4 to node 1 with capacity 17,\nan edge from node 4 to node 3 with capacity 4,\nan edge from node 5 to node 4 with capacity 20,\nan edge from node 5 to node 2 with capacity 3,\nan edge from node 6 to node 9 with capacity 13,\nan edge from node 6 to node 4 with capacity 18,\nan edge from node 6 to node 3 with capacity 12,\nan edge from node 6 to node 7 with capacity 4,\nan edge from node 6 to node 10 with capacity 11,\nan edge from node 7 to node 9 with capacity 16,\nan edge from node 7 to node 0 with capacity 9,\nan edge from node 7 to node 1 with capacity 7,\nan edge from node 8 to node 9 with capacity 14,\nan edge from node 9 to node 1 with capacity 1,\nan edge from node 10 to node 6 with capacity 20,\nan edge from node 10 to node 8 with capacity 12,\nWhat is the maximum flow from node 6 to node 0:"
            },
            {
                "from": "gpt",
                "value": "17."
            }
        ]
    },
    {
        "id": "flow-hard-graph736",
        "image": "data/flow/graph_visual/hard/graph736.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 6 with capacity 8,\nan edge from node 0 to node 5 with capacity 15,\nan edge from node 0 to node 8 with capacity 20,\nan edge from node 0 to node 2 with capacity 6,\nan edge from node 1 to node 6 with capacity 5,\nan edge from node 1 to node 13 with capacity 9,\nan edge from node 1 to node 11 with capacity 2,\nan edge from node 1 to node 4 with capacity 13,\nan edge from node 1 to node 15 with capacity 15,\nan edge from node 1 to node 7 with capacity 11,\nan edge from node 2 to node 6 with capacity 15,\nan edge from node 2 to node 3 with capacity 15,\nan edge from node 2 to node 5 with capacity 17,\nan edge from node 2 to node 4 with capacity 7,\nan edge from node 2 to node 15 with capacity 8,\nan edge from node 2 to node 1 with capacity 20,\nan edge from node 3 to node 0 with capacity 4,\nan edge from node 3 to node 16 with capacity 4,\nan edge from node 3 to node 2 with capacity 8,\nan edge from node 4 to node 10 with capacity 8,\nan edge from node 4 to node 16 with capacity 12,\nan edge from node 4 to node 8 with capacity 15,\nan edge from node 4 to node 2 with capacity 5,\nan edge from node 5 to node 6 with capacity 16,\nan edge from node 5 to node 3 with capacity 3,\nan edge from node 5 to node 11 with capacity 7,\nan edge from node 5 to node 1 with capacity 6,\nan edge from node 6 to node 10 with capacity 20,\nan edge from node 6 to node 14 with capacity 12,\nan edge from node 6 to node 8 with capacity 13,\nan edge from node 8 to node 6 with capacity 5,\nan edge from node 8 to node 10 with capacity 17,\nan edge from node 8 to node 4 with capacity 7,\nan edge from node 8 to node 15 with capacity 10,\nan edge from node 8 to node 12 with capacity 5,\nan edge from node 8 to node 1 with capacity 15,\nan edge from node 9 to node 1 with capacity 8,\nan edge from node 9 to node 8 with capacity 13,\nan edge from node 9 to node 2 with capacity 15,\nan edge from node 10 to node 9 with capacity 17,\nan edge from node 10 to node 12 with capacity 8,\nan edge from node 11 to node 0 with capacity 18,\nan edge from node 11 to node 5 with capacity 4,\nan edge from node 11 to node 16 with capacity 20,\nan edge from node 11 to node 4 with capacity 7,\nan edge from node 11 to node 9 with capacity 14,\nan edge from node 11 to node 2 with capacity 4,\nan edge from node 12 to node 13 with capacity 5,\nan edge from node 12 to node 5 with capacity 13,\nan edge from node 12 to node 15 with capacity 9,\nan edge from node 12 to node 1 with capacity 16,\nan edge from node 12 to node 2 with capacity 5,\nan edge from node 13 to node 0 with capacity 20,\nan edge from node 13 to node 4 with capacity 12,\nan edge from node 13 to node 9 with capacity 12,\nan edge from node 13 to node 8 with capacity 9,\nan edge from node 13 to node 2 with capacity 19,\nan edge from node 14 to node 16 with capacity 12,\nan edge from node 14 to node 7 with capacity 16,\nan edge from node 14 to node 1 with capacity 14,\nan edge from node 15 to node 6 with capacity 17,\nan edge from node 15 to node 13 with capacity 17,\nan edge from node 15 to node 14 with capacity 18,\nan edge from node 15 to node 4 with capacity 9,\nan edge from node 15 to node 9 with capacity 19,\nan edge from node 15 to node 7 with capacity 10,\nan edge from node 15 to node 1 with capacity 15,\nan edge from node 16 to node 0 with capacity 18,\nan edge from node 16 to node 3 with capacity 10,\nan edge from node 16 to node 9 with capacity 18,\nan edge from node 16 to node 7 with capacity 6,\nan edge from node 16 to node 12 with capacity 5,\nWhat is the maximum flow from node 6 to node 1:"
            },
            {
                "from": "gpt",
                "value": "45."
            }
        ]
    },
    {
        "id": "flow-hard-graph240",
        "image": "data/flow/graph_visual/hard/graph240.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 2 with capacity 7,\nan edge from node 0 to node 11 with capacity 20,\nan edge from node 0 to node 12 with capacity 2,\nan edge from node 1 to node 5 with capacity 4,\nan edge from node 1 to node 6 with capacity 9,\nan edge from node 1 to node 8 with capacity 5,\nan edge from node 2 to node 4 with capacity 8,\nan edge from node 2 to node 9 with capacity 7,\nan edge from node 3 to node 7 with capacity 11,\nan edge from node 3 to node 6 with capacity 8,\nan edge from node 3 to node 8 with capacity 1,\nan edge from node 4 to node 7 with capacity 20,\nan edge from node 4 to node 8 with capacity 16,\nan edge from node 5 to node 2 with capacity 19,\nan edge from node 6 to node 7 with capacity 13,\nan edge from node 6 to node 4 with capacity 3,\nan edge from node 6 to node 0 with capacity 3,\nan edge from node 6 to node 12 with capacity 15,\nan edge from node 7 to node 11 with capacity 3,\nan edge from node 7 to node 10 with capacity 2,\nan edge from node 7 to node 0 with capacity 4,\nan edge from node 8 to node 1 with capacity 4,\nan edge from node 8 to node 2 with capacity 4,\nan edge from node 8 to node 11 with capacity 18,\nan edge from node 8 to node 9 with capacity 5,\nan edge from node 9 to node 2 with capacity 3,\nan edge from node 9 to node 3 with capacity 7,\nan edge from node 11 to node 2 with capacity 4,\nan edge from node 11 to node 10 with capacity 8,\nan edge from node 11 to node 4 with capacity 7,\nan edge from node 11 to node 6 with capacity 2,\nan edge from node 11 to node 8 with capacity 1,\nan edge from node 12 to node 10 with capacity 8,\nan edge from node 12 to node 7 with capacity 16,\nan edge from node 12 to node 4 with capacity 7,\nan edge from node 12 to node 8 with capacity 14,\nWhat is the maximum flow from node 11 to node 5:"
            },
            {
                "from": "gpt",
                "value": "4."
            }
        ]
    },
    {
        "id": "flow-hard-graph374",
        "image": "data/flow/graph_visual/hard/graph374.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 11 with capacity 12,\nan edge from node 0 to node 3 with capacity 9,\nan edge from node 0 to node 9 with capacity 2,\nan edge from node 1 to node 10 with capacity 4,\nan edge from node 1 to node 5 with capacity 3,\nan edge from node 1 to node 4 with capacity 8,\nan edge from node 2 to node 11 with capacity 3,\nan edge from node 2 to node 1 with capacity 1,\nan edge from node 2 to node 13 with capacity 20,\nan edge from node 2 to node 7 with capacity 14,\nan edge from node 2 to node 4 with capacity 5,\nan edge from node 3 to node 2 with capacity 7,\nan edge from node 3 to node 10 with capacity 9,\nan edge from node 3 to node 0 with capacity 6,\nan edge from node 3 to node 13 with capacity 2,\nan edge from node 3 to node 7 with capacity 8,\nan edge from node 3 to node 12 with capacity 4,\nan edge from node 3 to node 9 with capacity 20,\nan edge from node 4 to node 11 with capacity 11,\nan edge from node 4 to node 10 with capacity 1,\nan edge from node 4 to node 12 with capacity 8,\nan edge from node 4 to node 3 with capacity 16,\nan edge from node 5 to node 2 with capacity 11,\nan edge from node 5 to node 10 with capacity 20,\nan edge from node 5 to node 8 with capacity 12,\nan edge from node 6 to node 1 with capacity 19,\nan edge from node 6 to node 13 with capacity 4,\nan edge from node 7 to node 11 with capacity 3,\nan edge from node 7 to node 12 with capacity 2,\nan edge from node 8 to node 1 with capacity 9,\nan edge from node 8 to node 5 with capacity 18,\nan edge from node 8 to node 12 with capacity 17,\nan edge from node 8 to node 3 with capacity 3,\nan edge from node 8 to node 9 with capacity 11,\nan edge from node 9 to node 7 with capacity 18,\nan edge from node 9 to node 3 with capacity 10,\nan edge from node 10 to node 2 with capacity 1,\nan edge from node 10 to node 3 with capacity 4,\nan edge from node 10 to node 9 with capacity 8,\nan edge from node 11 to node 13 with capacity 20,\nan edge from node 11 to node 4 with capacity 6,\nan edge from node 12 to node 9 with capacity 5,\nan edge from node 13 to node 11 with capacity 10,\nan edge from node 13 to node 2 with capacity 4,\nan edge from node 13 to node 0 with capacity 10,\nan edge from node 13 to node 8 with capacity 7,\nan edge from node 13 to node 12 with capacity 15,\nan edge from node 13 to node 3 with capacity 6,\nan edge from node 13 to node 4 with capacity 16,\nWhat is the maximum flow from node 8 to node 5:"
            },
            {
                "from": "gpt",
                "value": "21."
            }
        ]
    },
    {
        "id": "flow-hard-graph978",
        "image": "data/flow/graph_visual/hard/graph978.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 18 with capacity 11,\nan edge from node 0 to node 16 with capacity 15,\nan edge from node 0 to node 6 with capacity 2,\nan edge from node 0 to node 15 with capacity 14,\nan edge from node 1 to node 3 with capacity 3,\nan edge from node 1 to node 16 with capacity 11,\nan edge from node 1 to node 15 with capacity 13,\nan edge from node 2 to node 7 with capacity 3,\nan edge from node 2 to node 0 with capacity 10,\nan edge from node 2 to node 12 with capacity 17,\nan edge from node 2 to node 6 with capacity 4,\nan edge from node 2 to node 17 with capacity 14,\nan edge from node 3 to node 4 with capacity 18,\nan edge from node 4 to node 5 with capacity 16,\nan edge from node 4 to node 3 with capacity 2,\nan edge from node 4 to node 13 with capacity 9,\nan edge from node 4 to node 17 with capacity 4,\nan edge from node 4 to node 10 with capacity 6,\nan edge from node 5 to node 11 with capacity 18,\nan edge from node 5 to node 4 with capacity 15,\nan edge from node 5 to node 2 with capacity 16,\nan edge from node 5 to node 0 with capacity 11,\nan edge from node 5 to node 17 with capacity 1,\nan edge from node 6 to node 14 with capacity 17,\nan edge from node 6 to node 5 with capacity 6,\nan edge from node 6 to node 3 with capacity 13,\nan edge from node 6 to node 18 with capacity 12,\nan edge from node 6 to node 0 with capacity 11,\nan edge from node 6 to node 15 with capacity 11,\nan edge from node 7 to node 4 with capacity 13,\nan edge from node 7 to node 5 with capacity 2,\nan edge from node 7 to node 3 with capacity 20,\nan edge from node 7 to node 13 with capacity 4,\nan edge from node 7 to node 0 with capacity 14,\nan edge from node 7 to node 16 with capacity 2,\nan edge from node 7 to node 17 with capacity 14,\nan edge from node 7 to node 15 with capacity 13,\nan edge from node 8 to node 3 with capacity 1,\nan edge from node 8 to node 2 with capacity 4,\nan edge from node 8 to node 1 with capacity 11,\nan edge from node 8 to node 12 with capacity 3,\nan edge from node 8 to node 6 with capacity 19,\nan edge from node 8 to node 9 with capacity 15,\nan edge from node 9 to node 5 with capacity 2,\nan edge from node 9 to node 7 with capacity 16,\nan edge from node 9 to node 8 with capacity 13,\nan edge from node 10 to node 11 with capacity 12,\nan edge from node 10 to node 2 with capacity 14,\nan edge from node 10 to node 6 with capacity 17,\nan edge from node 10 to node 17 with capacity 12,\nan edge from node 10 to node 9 with capacity 2,\nan edge from node 11 to node 14 with capacity 13,\nan edge from node 11 to node 5 with capacity 2,\nan edge from node 11 to node 18 with capacity 1,\nan edge from node 11 to node 15 with capacity 7,\nan edge from node 12 to node 11 with capacity 19,\nan edge from node 12 to node 5 with capacity 9,\nan edge from node 12 to node 8 with capacity 3,\nan edge from node 12 to node 15 with capacity 5,\nan edge from node 13 to node 3 with capacity 8,\nan edge from node 13 to node 2 with capacity 14,\nan edge from node 13 to node 18 with capacity 8,\nan edge from node 13 to node 16 with capacity 14,\nan edge from node 13 to node 6 with capacity 20,\nan edge from node 14 to node 3 with capacity 19,\nan edge from node 14 to node 16 with capacity 5,\nan edge from node 14 to node 17 with capacity 9,\nan edge from node 14 to node 9 with capacity 15,\nan edge from node 14 to node 15 with capacity 19,\nan edge from node 15 to node 3 with capacity 11,\nan edge from node 15 to node 18 with capacity 20,\nan edge from node 16 to node 4 with capacity 18,\nan edge from node 16 to node 1 with capacity 1,\nan edge from node 16 to node 18 with capacity 15,\nan edge from node 16 to node 0 with capacity 7,\nan edge from node 16 to node 6 with capacity 20,\nan edge from node 16 to node 8 with capacity 7,\nan edge from node 17 to node 4 with capacity 15,\nan edge from node 17 to node 3 with capacity 3,\nan edge from node 17 to node 18 with capacity 5,\nan edge from node 17 to node 0 with capacity 7,\nan edge from node 17 to node 6 with capacity 9,\nan edge from node 17 to node 9 with capacity 11,\nan edge from node 18 to node 1 with capacity 9,\nWhat is the maximum flow from node 10 to node 6:"
            },
            {
                "from": "gpt",
                "value": "57."
            }
        ]
    },
    {
        "id": "flow-hard-graph764",
        "image": "data/flow/graph_visual/hard/graph764.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 4 with capacity 5,\nan edge from node 0 to node 7 with capacity 7,\nan edge from node 1 to node 14 with capacity 1,\nan edge from node 1 to node 0 with capacity 16,\nan edge from node 1 to node 7 with capacity 14,\nan edge from node 1 to node 3 with capacity 1,\nan edge from node 1 to node 2 with capacity 1,\nan edge from node 1 to node 15 with capacity 19,\nan edge from node 1 to node 10 with capacity 6,\nan edge from node 2 to node 14 with capacity 13,\nan edge from node 2 to node 6 with capacity 18,\nan edge from node 2 to node 16 with capacity 16,\nan edge from node 2 to node 5 with capacity 7,\nan edge from node 2 to node 15 with capacity 19,\nan edge from node 2 to node 10 with capacity 1,\nan edge from node 3 to node 4 with capacity 5,\nan edge from node 3 to node 12 with capacity 7,\nan edge from node 3 to node 2 with capacity 18,\nan edge from node 3 to node 5 with capacity 4,\nan edge from node 4 to node 9 with capacity 17,\nan edge from node 4 to node 14 with capacity 3,\nan edge from node 4 to node 6 with capacity 9,\nan edge from node 4 to node 8 with capacity 19,\nan edge from node 4 to node 16 with capacity 7,\nan edge from node 4 to node 12 with capacity 20,\nan edge from node 5 to node 14 with capacity 9,\nan edge from node 5 to node 8 with capacity 18,\nan edge from node 5 to node 3 with capacity 3,\nan edge from node 5 to node 11 with capacity 5,\nan edge from node 5 to node 12 with capacity 19,\nan edge from node 5 to node 10 with capacity 1,\nan edge from node 6 to node 9 with capacity 14,\nan edge from node 6 to node 14 with capacity 17,\nan edge from node 6 to node 2 with capacity 14,\nan edge from node 6 to node 10 with capacity 18,\nan edge from node 7 to node 9 with capacity 13,\nan edge from node 7 to node 8 with capacity 14,\nan edge from node 7 to node 13 with capacity 3,\nan edge from node 7 to node 11 with capacity 7,\nan edge from node 7 to node 2 with capacity 17,\nan edge from node 7 to node 15 with capacity 8,\nan edge from node 8 to node 7 with capacity 5,\nan edge from node 8 to node 16 with capacity 12,\nan edge from node 8 to node 3 with capacity 19,\nan edge from node 8 to node 5 with capacity 17,\nan edge from node 8 to node 1 with capacity 2,\nan edge from node 9 to node 8 with capacity 13,\nan edge from node 9 to node 2 with capacity 15,\nan edge from node 9 to node 15 with capacity 4,\nan edge from node 10 to node 14 with capacity 20,\nan edge from node 11 to node 1 with capacity 3,\nan edge from node 12 to node 4 with capacity 11,\nan edge from node 12 to node 16 with capacity 4,\nan edge from node 12 to node 5 with capacity 19,\nan edge from node 13 to node 4 with capacity 11,\nan edge from node 13 to node 11 with capacity 10,\nan edge from node 13 to node 15 with capacity 1,\nan edge from node 14 to node 6 with capacity 20,\nan edge from node 14 to node 0 with capacity 19,\nan edge from node 14 to node 8 with capacity 15,\nan edge from node 14 to node 13 with capacity 20,\nan edge from node 15 to node 6 with capacity 8,\nan edge from node 15 to node 7 with capacity 19,\nan edge from node 15 to node 3 with capacity 7,\nan edge from node 16 to node 9 with capacity 16,\nan edge from node 16 to node 0 with capacity 15,\nan edge from node 16 to node 4 with capacity 15,\nan edge from node 16 to node 2 with capacity 20,\nWhat is the maximum flow from node 7 to node 1:"
            },
            {
                "from": "gpt",
                "value": "5."
            }
        ]
    },
    {
        "id": "flow-hard-graph630",
        "image": "data/flow/graph_visual/hard/graph630.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 1 with capacity 11,\nan edge from node 0 to node 2 with capacity 15,\nan edge from node 0 to node 4 with capacity 16,\nan edge from node 0 to node 13 with capacity 1,\nan edge from node 1 to node 3 with capacity 8,\nan edge from node 1 to node 13 with capacity 14,\nan edge from node 1 to node 5 with capacity 18,\nan edge from node 1 to node 0 with capacity 6,\nan edge from node 2 to node 7 with capacity 17,\nan edge from node 2 to node 12 with capacity 8,\nan edge from node 2 to node 3 with capacity 8,\nan edge from node 2 to node 15 with capacity 12,\nan edge from node 3 to node 7 with capacity 12,\nan edge from node 3 to node 4 with capacity 10,\nan edge from node 3 to node 15 with capacity 1,\nan edge from node 3 to node 5 with capacity 3,\nan edge from node 4 to node 7 with capacity 9,\nan edge from node 4 to node 0 with capacity 12,\nan edge from node 4 to node 6 with capacity 18,\nan edge from node 5 to node 7 with capacity 14,\nan edge from node 5 to node 12 with capacity 18,\nan edge from node 5 to node 1 with capacity 15,\nan edge from node 6 to node 14 with capacity 15,\nan edge from node 6 to node 3 with capacity 4,\nan edge from node 6 to node 2 with capacity 11,\nan edge from node 6 to node 4 with capacity 15,\nan edge from node 6 to node 5 with capacity 9,\nan edge from node 6 to node 11 with capacity 7,\nan edge from node 7 to node 12 with capacity 13,\nan edge from node 7 to node 3 with capacity 1,\nan edge from node 7 to node 1 with capacity 11,\nan edge from node 7 to node 4 with capacity 6,\nan edge from node 7 to node 11 with capacity 8,\nan edge from node 8 to node 12 with capacity 9,\nan edge from node 8 to node 3 with capacity 20,\nan edge from node 8 to node 4 with capacity 13,\nan edge from node 8 to node 15 with capacity 14,\nan edge from node 8 to node 6 with capacity 19,\nan edge from node 9 to node 12 with capacity 6,\nan edge from node 9 to node 14 with capacity 14,\nan edge from node 9 to node 6 with capacity 1,\nan edge from node 10 to node 14 with capacity 20,\nan edge from node 10 to node 1 with capacity 3,\nan edge from node 10 to node 13 with capacity 4,\nan edge from node 10 to node 5 with capacity 10,\nan edge from node 10 to node 11 with capacity 7,\nan edge from node 11 to node 7 with capacity 19,\nan edge from node 11 to node 12 with capacity 19,\nan edge from node 11 to node 3 with capacity 6,\nan edge from node 11 to node 5 with capacity 6,\nan edge from node 12 to node 7 with capacity 14,\nan edge from node 12 to node 0 with capacity 7,\nan edge from node 13 to node 14 with capacity 17,\nan edge from node 13 to node 3 with capacity 17,\nan edge from node 13 to node 4 with capacity 9,\nan edge from node 13 to node 8 with capacity 13,\nan edge from node 13 to node 5 with capacity 9,\nan edge from node 14 to node 5 with capacity 19,\nan edge from node 15 to node 7 with capacity 8,\nan edge from node 15 to node 1 with capacity 9,\nan edge from node 15 to node 5 with capacity 9,\nan edge from node 15 to node 0 with capacity 6,\nan edge from node 15 to node 6 with capacity 7,\nWhat is the maximum flow from node 4 to node 12:"
            },
            {
                "from": "gpt",
                "value": "39."
            }
        ]
    },
    {
        "id": "flow-hard-graph163",
        "image": "data/flow/graph_visual/hard/graph163.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 9 with capacity 9,\nan edge from node 0 to node 10 with capacity 6,\nan edge from node 0 to node 5 with capacity 17,\nan edge from node 1 to node 3 with capacity 18,\nan edge from node 2 to node 1 with capacity 16,\nan edge from node 2 to node 6 with capacity 18,\nan edge from node 2 to node 4 with capacity 13,\nan edge from node 2 to node 11 with capacity 10,\nan edge from node 3 to node 8 with capacity 18,\nan edge from node 3 to node 2 with capacity 19,\nan edge from node 3 to node 1 with capacity 6,\nan edge from node 3 to node 6 with capacity 14,\nan edge from node 3 to node 5 with capacity 5,\nan edge from node 4 to node 10 with capacity 16,\nan edge from node 4 to node 3 with capacity 1,\nan edge from node 4 to node 11 with capacity 20,\nan edge from node 5 to node 7 with capacity 16,\nan edge from node 5 to node 6 with capacity 12,\nan edge from node 5 to node 4 with capacity 6,\nan edge from node 6 to node 9 with capacity 8,\nan edge from node 6 to node 2 with capacity 11,\nan edge from node 6 to node 7 with capacity 7,\nan edge from node 6 to node 11 with capacity 4,\nan edge from node 6 to node 5 with capacity 17,\nan edge from node 7 to node 9 with capacity 13,\nan edge from node 7 to node 11 with capacity 7,\nan edge from node 8 to node 9 with capacity 17,\nan edge from node 8 to node 10 with capacity 10,\nan edge from node 8 to node 3 with capacity 8,\nan edge from node 8 to node 4 with capacity 1,\nan edge from node 9 to node 10 with capacity 11,\nan edge from node 9 to node 2 with capacity 5,\nan edge from node 9 to node 1 with capacity 10,\nan edge from node 9 to node 11 with capacity 18,\nan edge from node 10 to node 3 with capacity 6,\nan edge from node 10 to node 1 with capacity 10,\nan edge from node 10 to node 6 with capacity 17,\nan edge from node 10 to node 11 with capacity 7,\nan edge from node 11 to node 10 with capacity 9,\nan edge from node 11 to node 3 with capacity 9,\nan edge from node 11 to node 0 with capacity 12,\nWhat is the maximum flow from node 0 to node 1:"
            },
            {
                "from": "gpt",
                "value": "32."
            }
        ]
    },
    {
        "id": "flow-hard-graph840",
        "image": "data/flow/graph_visual/hard/graph840.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 4 with capacity 3,\nan edge from node 0 to node 16 with capacity 17,\nan edge from node 0 to node 13 with capacity 1,\nan edge from node 0 to node 8 with capacity 4,\nan edge from node 0 to node 1 with capacity 11,\nan edge from node 1 to node 15 with capacity 9,\nan edge from node 1 to node 6 with capacity 1,\nan edge from node 1 to node 12 with capacity 15,\nan edge from node 2 to node 15 with capacity 16,\nan edge from node 2 to node 4 with capacity 9,\nan edge from node 2 to node 9 with capacity 6,\nan edge from node 2 to node 3 with capacity 20,\nan edge from node 2 to node 6 with capacity 11,\nan edge from node 2 to node 5 with capacity 17,\nan edge from node 3 to node 15 with capacity 7,\nan edge from node 3 to node 11 with capacity 16,\nan edge from node 4 to node 15 with capacity 7,\nan edge from node 4 to node 16 with capacity 17,\nan edge from node 4 to node 8 with capacity 9,\nan edge from node 5 to node 4 with capacity 16,\nan edge from node 5 to node 0 with capacity 1,\nan edge from node 5 to node 1 with capacity 6,\nan edge from node 5 to node 12 with capacity 2,\nan edge from node 6 to node 4 with capacity 9,\nan edge from node 6 to node 3 with capacity 4,\nan edge from node 6 to node 5 with capacity 16,\nan edge from node 6 to node 14 with capacity 10,\nan edge from node 6 to node 13 with capacity 16,\nan edge from node 6 to node 8 with capacity 19,\nan edge from node 6 to node 11 with capacity 12,\nan edge from node 7 to node 0 with capacity 14,\nan edge from node 7 to node 6 with capacity 19,\nan edge from node 7 to node 1 with capacity 7,\nan edge from node 8 to node 15 with capacity 7,\nan edge from node 8 to node 16 with capacity 15,\nan edge from node 8 to node 2 with capacity 4,\nan edge from node 8 to node 5 with capacity 13,\nan edge from node 8 to node 1 with capacity 15,\nan edge from node 8 to node 12 with capacity 12,\nan edge from node 9 to node 4 with capacity 15,\nan edge from node 9 to node 16 with capacity 4,\nan edge from node 9 to node 5 with capacity 6,\nan edge from node 9 to node 13 with capacity 20,\nan edge from node 9 to node 10 with capacity 1,\nan edge from node 9 to node 8 with capacity 7,\nan edge from node 10 to node 4 with capacity 1,\nan edge from node 10 to node 0 with capacity 1,\nan edge from node 10 to node 6 with capacity 13,\nan edge from node 10 to node 12 with capacity 13,\nan edge from node 10 to node 17 with capacity 17,\nan edge from node 11 to node 4 with capacity 6,\nan edge from node 11 to node 7 with capacity 4,\nan edge from node 11 to node 5 with capacity 18,\nan edge from node 11 to node 14 with capacity 8,\nan edge from node 11 to node 13 with capacity 5,\nan edge from node 11 to node 12 with capacity 13,\nan edge from node 12 to node 10 with capacity 11,\nan edge from node 12 to node 1 with capacity 3,\nan edge from node 12 to node 11 with capacity 16,\nan edge from node 12 to node 17 with capacity 7,\nan edge from node 13 to node 15 with capacity 9,\nan edge from node 13 to node 9 with capacity 13,\nan edge from node 14 to node 15 with capacity 16,\nan edge from node 14 to node 2 with capacity 10,\nan edge from node 14 to node 13 with capacity 1,\nan edge from node 14 to node 12 with capacity 5,\nan edge from node 15 to node 7 with capacity 10,\nan edge from node 15 to node 5 with capacity 6,\nan edge from node 15 to node 10 with capacity 7,\nan edge from node 16 to node 15 with capacity 18,\nan edge from node 16 to node 0 with capacity 13,\nan edge from node 16 to node 3 with capacity 17,\nan edge from node 16 to node 6 with capacity 10,\nan edge from node 16 to node 10 with capacity 1,\nan edge from node 17 to node 0 with capacity 1,\nan edge from node 17 to node 7 with capacity 4,\nan edge from node 17 to node 13 with capacity 10,\nWhat is the maximum flow from node 6 to node 5:"
            },
            {
                "from": "gpt",
                "value": "73."
            }
        ]
    },
    {
        "id": "flow-hard-graph633",
        "image": "data/flow/graph_visual/hard/graph633.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 15 with capacity 3,\nan edge from node 0 to node 8 with capacity 18,\nan edge from node 1 to node 11 with capacity 9,\nan edge from node 1 to node 8 with capacity 1,\nan edge from node 2 to node 13 with capacity 17,\nan edge from node 2 to node 0 with capacity 14,\nan edge from node 2 to node 1 with capacity 1,\nan edge from node 2 to node 11 with capacity 7,\nan edge from node 3 to node 15 with capacity 12,\nan edge from node 3 to node 13 with capacity 13,\nan edge from node 3 to node 2 with capacity 5,\nan edge from node 3 to node 11 with capacity 3,\nan edge from node 3 to node 7 with capacity 16,\nan edge from node 3 to node 8 with capacity 15,\nan edge from node 4 to node 13 with capacity 1,\nan edge from node 4 to node 14 with capacity 10,\nan edge from node 4 to node 12 with capacity 15,\nan edge from node 4 to node 8 with capacity 17,\nan edge from node 5 to node 15 with capacity 17,\nan edge from node 5 to node 14 with capacity 18,\nan edge from node 5 to node 0 with capacity 10,\nan edge from node 5 to node 12 with capacity 6,\nan edge from node 5 to node 2 with capacity 4,\nan edge from node 6 to node 15 with capacity 17,\nan edge from node 6 to node 9 with capacity 19,\nan edge from node 6 to node 7 with capacity 14,\nan edge from node 7 to node 13 with capacity 4,\nan edge from node 7 to node 2 with capacity 17,\nan edge from node 7 to node 1 with capacity 14,\nan edge from node 7 to node 8 with capacity 3,\nan edge from node 8 to node 5 with capacity 9,\nan edge from node 8 to node 0 with capacity 15,\nan edge from node 8 to node 2 with capacity 4,\nan edge from node 8 to node 1 with capacity 20,\nan edge from node 8 to node 11 with capacity 15,\nan edge from node 9 to node 5 with capacity 10,\nan edge from node 9 to node 13 with capacity 12,\nan edge from node 9 to node 0 with capacity 11,\nan edge from node 9 to node 8 with capacity 1,\nan edge from node 9 to node 4 with capacity 7,\nan edge from node 10 to node 5 with capacity 19,\nan edge from node 10 to node 9 with capacity 15,\nan edge from node 10 to node 7 with capacity 15,\nan edge from node 10 to node 8 with capacity 3,\nan edge from node 11 to node 10 with capacity 9,\nan edge from node 11 to node 0 with capacity 20,\nan edge from node 12 to node 5 with capacity 2,\nan edge from node 12 to node 13 with capacity 16,\nan edge from node 12 to node 3 with capacity 5,\nan edge from node 13 to node 9 with capacity 13,\nan edge from node 13 to node 10 with capacity 5,\nan edge from node 13 to node 0 with capacity 16,\nan edge from node 13 to node 1 with capacity 10,\nan edge from node 14 to node 13 with capacity 11,\nan edge from node 14 to node 7 with capacity 2,\nan edge from node 15 to node 9 with capacity 17,\nan edge from node 15 to node 2 with capacity 20,\nan edge from node 15 to node 1 with capacity 11,\nan edge from node 15 to node 11 with capacity 7,\nan edge from node 15 to node 8 with capacity 14,\nWhat is the maximum flow from node 0 to node 8:"
            },
            {
                "from": "gpt",
                "value": "21."
            }
        ]
    },
    {
        "id": "flow-hard-graph636",
        "image": "data/flow/graph_visual/hard/graph636.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 5 with capacity 20,\nan edge from node 0 to node 2 with capacity 16,\nan edge from node 0 to node 4 with capacity 19,\nan edge from node 0 to node 9 with capacity 18,\nan edge from node 1 to node 5 with capacity 3,\nan edge from node 1 to node 10 with capacity 15,\nan edge from node 1 to node 15 with capacity 12,\nan edge from node 1 to node 14 with capacity 19,\nan edge from node 2 to node 12 with capacity 17,\nan edge from node 2 to node 5 with capacity 3,\nan edge from node 3 to node 5 with capacity 6,\nan edge from node 3 to node 4 with capacity 8,\nan edge from node 4 to node 12 with capacity 9,\nan edge from node 4 to node 13 with capacity 6,\nan edge from node 4 to node 8 with capacity 15,\nan edge from node 4 to node 14 with capacity 13,\nan edge from node 5 to node 10 with capacity 2,\nan edge from node 5 to node 11 with capacity 14,\nan edge from node 5 to node 13 with capacity 15,\nan edge from node 5 to node 4 with capacity 7,\nan edge from node 6 to node 5 with capacity 10,\nan edge from node 6 to node 13 with capacity 14,\nan edge from node 6 to node 4 with capacity 2,\nan edge from node 7 to node 5 with capacity 17,\nan edge from node 7 to node 0 with capacity 7,\nan edge from node 7 to node 15 with capacity 9,\nan edge from node 7 to node 3 with capacity 3,\nan edge from node 7 to node 8 with capacity 16,\nan edge from node 8 to node 15 with capacity 5,\nan edge from node 8 to node 3 with capacity 15,\nan edge from node 8 to node 1 with capacity 7,\nan edge from node 8 to node 4 with capacity 10,\nan edge from node 9 to node 6 with capacity 1,\nan edge from node 9 to node 5 with capacity 10,\nan edge from node 9 to node 10 with capacity 6,\nan edge from node 9 to node 4 with capacity 1,\nan edge from node 10 to node 5 with capacity 1,\nan edge from node 10 to node 3 with capacity 1,\nan edge from node 10 to node 7 with capacity 20,\nan edge from node 10 to node 8 with capacity 18,\nan edge from node 10 to node 4 with capacity 8,\nan edge from node 10 to node 9 with capacity 11,\nan edge from node 11 to node 5 with capacity 2,\nan edge from node 11 to node 10 with capacity 3,\nan edge from node 11 to node 0 with capacity 2,\nan edge from node 12 to node 10 with capacity 2,\nan edge from node 12 to node 11 with capacity 5,\nan edge from node 12 to node 13 with capacity 11,\nan edge from node 12 to node 2 with capacity 2,\nan edge from node 12 to node 4 with capacity 1,\nan edge from node 13 to node 2 with capacity 2,\nan edge from node 13 to node 14 with capacity 1,\nan edge from node 14 to node 0 with capacity 4,\nan edge from node 14 to node 1 with capacity 9,\nan edge from node 14 to node 7 with capacity 8,\nan edge from node 14 to node 8 with capacity 5,\nan edge from node 15 to node 10 with capacity 16,\nan edge from node 15 to node 14 with capacity 4,\nWhat is the maximum flow from node 1 to node 4:"
            },
            {
                "from": "gpt",
                "value": "47."
            }
        ]
    },
    {
        "id": "flow-hard-graph675",
        "image": "data/flow/graph_visual/hard/graph675.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 15 with capacity 8,\nan edge from node 0 to node 14 with capacity 17,\nan edge from node 1 to node 0 with capacity 15,\nan edge from node 1 to node 7 with capacity 8,\nan edge from node 1 to node 2 with capacity 8,\nan edge from node 2 to node 15 with capacity 16,\nan edge from node 2 to node 8 with capacity 6,\nan edge from node 2 to node 12 with capacity 5,\nan edge from node 2 to node 4 with capacity 5,\nan edge from node 3 to node 15 with capacity 6,\nan edge from node 4 to node 11 with capacity 18,\nan edge from node 4 to node 0 with capacity 20,\nan edge from node 4 to node 15 with capacity 11,\nan edge from node 4 to node 8 with capacity 3,\nan edge from node 4 to node 9 with capacity 2,\nan edge from node 5 to node 0 with capacity 3,\nan edge from node 5 to node 12 with capacity 1,\nan edge from node 5 to node 7 with capacity 7,\nan edge from node 5 to node 4 with capacity 20,\nan edge from node 5 to node 3 with capacity 7,\nan edge from node 5 to node 9 with capacity 13,\nan edge from node 5 to node 10 with capacity 18,\nan edge from node 6 to node 11 with capacity 19,\nan edge from node 6 to node 0 with capacity 4,\nan edge from node 6 to node 12 with capacity 6,\nan edge from node 6 to node 7 with capacity 5,\nan edge from node 6 to node 4 with capacity 18,\nan edge from node 6 to node 10 with capacity 17,\nan edge from node 7 to node 0 with capacity 7,\nan edge from node 8 to node 12 with capacity 10,\nan edge from node 8 to node 7 with capacity 8,\nan edge from node 8 to node 9 with capacity 1,\nan edge from node 9 to node 11 with capacity 5,\nan edge from node 9 to node 15 with capacity 5,\nan edge from node 9 to node 12 with capacity 12,\nan edge from node 9 to node 7 with capacity 1,\nan edge from node 10 to node 6 with capacity 15,\nan edge from node 10 to node 15 with capacity 16,\nan edge from node 10 to node 12 with capacity 1,\nan edge from node 10 to node 1 with capacity 8,\nan edge from node 10 to node 7 with capacity 13,\nan edge from node 10 to node 3 with capacity 13,\nan edge from node 10 to node 14 with capacity 7,\nan edge from node 11 to node 8 with capacity 10,\nan edge from node 11 to node 12 with capacity 16,\nan edge from node 11 to node 7 with capacity 3,\nan edge from node 11 to node 2 with capacity 10,\nan edge from node 11 to node 14 with capacity 5,\nan edge from node 12 to node 9 with capacity 5,\nan edge from node 12 to node 14 with capacity 20,\nan edge from node 13 to node 8 with capacity 14,\nan edge from node 14 to node 12 with capacity 11,\nan edge from node 14 to node 7 with capacity 20,\nan edge from node 14 to node 9 with capacity 1,\nan edge from node 15 to node 11 with capacity 11,\nan edge from node 15 to node 0 with capacity 10,\nan edge from node 15 to node 8 with capacity 10,\nan edge from node 15 to node 3 with capacity 3,\nan edge from node 15 to node 10 with capacity 20,\nWhat is the maximum flow from node 11 to node 5:"
            },
            {
                "from": "gpt",
                "value": "0."
            }
        ]
    },
    {
        "id": "flow-hard-graph234",
        "image": "data/flow/graph_visual/hard/graph234.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 7 with capacity 12,\nan edge from node 1 to node 4 with capacity 5,\nan edge from node 1 to node 0 with capacity 5,\nan edge from node 2 to node 5 with capacity 2,\nan edge from node 3 to node 7 with capacity 15,\nan edge from node 3 to node 2 with capacity 14,\nan edge from node 4 to node 6 with capacity 5,\nan edge from node 4 to node 7 with capacity 5,\nan edge from node 4 to node 8 with capacity 16,\nan edge from node 5 to node 4 with capacity 2,\nan edge from node 5 to node 7 with capacity 11,\nan edge from node 5 to node 10 with capacity 18,\nan edge from node 5 to node 0 with capacity 9,\nan edge from node 6 to node 10 with capacity 12,\nan edge from node 6 to node 2 with capacity 5,\nan edge from node 7 to node 4 with capacity 3,\nan edge from node 7 to node 6 with capacity 12,\nan edge from node 8 to node 11 with capacity 11,\nan edge from node 8 to node 3 with capacity 13,\nan edge from node 8 to node 4 with capacity 16,\nan edge from node 8 to node 6 with capacity 12,\nan edge from node 9 to node 1 with capacity 14,\nan edge from node 9 to node 11 with capacity 4,\nan edge from node 9 to node 3 with capacity 16,\nan edge from node 10 to node 1 with capacity 9,\nan edge from node 10 to node 6 with capacity 9,\nan edge from node 11 to node 4 with capacity 10,\nWhat is the maximum flow from node 3 to node 5:"
            },
            {
                "from": "gpt",
                "value": "2."
            }
        ]
    },
    {
        "id": "flow-hard-graph640",
        "image": "data/flow/graph_visual/hard/graph640.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 4 with capacity 8,\nan edge from node 0 to node 12 with capacity 13,\nan edge from node 1 to node 8 with capacity 2,\nan edge from node 1 to node 4 with capacity 19,\nan edge from node 1 to node 11 with capacity 19,\nan edge from node 3 to node 4 with capacity 1,\nan edge from node 3 to node 2 with capacity 8,\nan edge from node 3 to node 14 with capacity 15,\nan edge from node 3 to node 7 with capacity 11,\nan edge from node 4 to node 8 with capacity 11,\nan edge from node 4 to node 10 with capacity 10,\nan edge from node 5 to node 10 with capacity 9,\nan edge from node 6 to node 0 with capacity 13,\nan edge from node 6 to node 8 with capacity 18,\nan edge from node 6 to node 14 with capacity 1,\nan edge from node 6 to node 5 with capacity 4,\nan edge from node 7 to node 0 with capacity 15,\nan edge from node 7 to node 2 with capacity 11,\nan edge from node 7 to node 13 with capacity 7,\nan edge from node 8 to node 3 with capacity 4,\nan edge from node 8 to node 13 with capacity 3,\nan edge from node 9 to node 6 with capacity 13,\nan edge from node 9 to node 8 with capacity 6,\nan edge from node 9 to node 2 with capacity 4,\nan edge from node 9 to node 11 with capacity 5,\nan edge from node 10 to node 8 with capacity 12,\nan edge from node 10 to node 2 with capacity 7,\nan edge from node 10 to node 5 with capacity 1,\nan edge from node 11 to node 9 with capacity 14,\nan edge from node 11 to node 2 with capacity 1,\nan edge from node 11 to node 5 with capacity 5,\nan edge from node 11 to node 15 with capacity 6,\nan edge from node 11 to node 10 with capacity 10,\nan edge from node 12 to node 9 with capacity 4,\nan edge from node 12 to node 6 with capacity 10,\nan edge from node 12 to node 0 with capacity 3,\nan edge from node 12 to node 3 with capacity 1,\nan edge from node 12 to node 10 with capacity 16,\nan edge from node 13 to node 1 with capacity 15,\nan edge from node 13 to node 5 with capacity 8,\nan edge from node 13 to node 11 with capacity 11,\nan edge from node 14 to node 6 with capacity 15,\nan edge from node 14 to node 8 with capacity 10,\nan edge from node 14 to node 3 with capacity 14,\nan edge from node 14 to node 5 with capacity 7,\nan edge from node 14 to node 7 with capacity 3,\nan edge from node 14 to node 11 with capacity 1,\nan edge from node 15 to node 6 with capacity 7,\nan edge from node 15 to node 14 with capacity 5,\nan edge from node 15 to node 5 with capacity 3,\nan edge from node 15 to node 7 with capacity 3,\nWhat is the maximum flow from node 6 to node 15:"
            },
            {
                "from": "gpt",
                "value": "6."
            }
        ]
    },
    {
        "id": "flow-hard-graph832",
        "image": "data/flow/graph_visual/hard/graph832.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 15 with capacity 20,\nan edge from node 0 to node 6 with capacity 3,\nan edge from node 0 to node 3 with capacity 19,\nan edge from node 0 to node 7 with capacity 5,\nan edge from node 0 to node 13 with capacity 12,\nan edge from node 1 to node 15 with capacity 11,\nan edge from node 1 to node 16 with capacity 5,\nan edge from node 1 to node 8 with capacity 15,\nan edge from node 1 to node 11 with capacity 9,\nan edge from node 1 to node 12 with capacity 11,\nan edge from node 2 to node 8 with capacity 4,\nan edge from node 2 to node 10 with capacity 2,\nan edge from node 2 to node 9 with capacity 20,\nan edge from node 2 to node 4 with capacity 9,\nan edge from node 2 to node 1 with capacity 7,\nan edge from node 3 to node 12 with capacity 3,\nan edge from node 3 to node 4 with capacity 3,\nan edge from node 3 to node 13 with capacity 11,\nan edge from node 4 to node 15 with capacity 17,\nan edge from node 4 to node 6 with capacity 19,\nan edge from node 4 to node 2 with capacity 4,\nan edge from node 4 to node 12 with capacity 3,\nan edge from node 4 to node 5 with capacity 6,\nan edge from node 5 to node 14 with capacity 2,\nan edge from node 5 to node 10 with capacity 2,\nan edge from node 5 to node 11 with capacity 10,\nan edge from node 5 to node 9 with capacity 7,\nan edge from node 5 to node 1 with capacity 16,\nan edge from node 6 to node 8 with capacity 12,\nan edge from node 6 to node 3 with capacity 2,\nan edge from node 6 to node 11 with capacity 9,\nan edge from node 6 to node 12 with capacity 1,\nan edge from node 6 to node 13 with capacity 11,\nan edge from node 7 to node 15 with capacity 2,\nan edge from node 7 to node 3 with capacity 10,\nan edge from node 7 to node 9 with capacity 10,\nan edge from node 8 to node 16 with capacity 9,\nan edge from node 8 to node 9 with capacity 1,\nan edge from node 8 to node 13 with capacity 7,\nan edge from node 9 to node 14 with capacity 6,\nan edge from node 9 to node 15 with capacity 14,\nan edge from node 9 to node 7 with capacity 16,\nan edge from node 9 to node 11 with capacity 4,\nan edge from node 9 to node 12 with capacity 4,\nan edge from node 10 to node 14 with capacity 15,\nan edge from node 10 to node 11 with capacity 6,\nan edge from node 10 to node 4 with capacity 8,\nan edge from node 11 to node 3 with capacity 15,\nan edge from node 11 to node 7 with capacity 20,\nan edge from node 11 to node 12 with capacity 17,\nan edge from node 11 to node 1 with capacity 12,\nan edge from node 11 to node 13 with capacity 1,\nan edge from node 12 to node 0 with capacity 9,\nan edge from node 12 to node 5 with capacity 9,\nan edge from node 13 to node 14 with capacity 19,\nan edge from node 13 to node 11 with capacity 12,\nan edge from node 13 to node 9 with capacity 11,\nan edge from node 14 to node 8 with capacity 20,\nan edge from node 14 to node 6 with capacity 14,\nan edge from node 14 to node 3 with capacity 19,\nan edge from node 14 to node 4 with capacity 7,\nan edge from node 15 to node 16 with capacity 16,\nan edge from node 15 to node 3 with capacity 6,\nan edge from node 15 to node 2 with capacity 10,\nan edge from node 15 to node 5 with capacity 1,\nWhat is the maximum flow from node 10 to node 0:"
            },
            {
                "from": "gpt",
                "value": "9."
            }
        ]
    },
    {
        "id": "flow-hard-graph1046",
        "image": "data/flow/graph_visual/hard/graph1046.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 5 with capacity 11,\nan edge from node 0 to node 9 with capacity 19,\nan edge from node 0 to node 8 with capacity 17,\nan edge from node 1 to node 12 with capacity 19,\nan edge from node 1 to node 13 with capacity 16,\nan edge from node 1 to node 8 with capacity 14,\nan edge from node 1 to node 17 with capacity 16,\nan edge from node 2 to node 1 with capacity 4,\nan edge from node 2 to node 13 with capacity 15,\nan edge from node 2 to node 9 with capacity 9,\nan edge from node 3 to node 5 with capacity 2,\nan edge from node 3 to node 1 with capacity 4,\nan edge from node 3 to node 12 with capacity 12,\nan edge from node 3 to node 15 with capacity 9,\nan edge from node 3 to node 0 with capacity 6,\nan edge from node 3 to node 8 with capacity 8,\nan edge from node 3 to node 18 with capacity 17,\nan edge from node 3 to node 7 with capacity 10,\nan edge from node 3 to node 2 with capacity 8,\nan edge from node 4 to node 11 with capacity 9,\nan edge from node 4 to node 9 with capacity 1,\nan edge from node 4 to node 6 with capacity 13,\nan edge from node 4 to node 15 with capacity 12,\nan edge from node 4 to node 17 with capacity 13,\nan edge from node 4 to node 2 with capacity 9,\nan edge from node 5 to node 11 with capacity 12,\nan edge from node 5 to node 13 with capacity 10,\nan edge from node 5 to node 15 with capacity 1,\nan edge from node 5 to node 17 with capacity 2,\nan edge from node 6 to node 1 with capacity 3,\nan edge from node 6 to node 8 with capacity 13,\nan edge from node 6 to node 2 with capacity 3,\nan edge from node 7 to node 11 with capacity 7,\nan edge from node 7 to node 8 with capacity 12,\nan edge from node 8 to node 0 with capacity 3,\nan edge from node 8 to node 2 with capacity 8,\nan edge from node 9 to node 16 with capacity 20,\nan edge from node 9 to node 1 with capacity 17,\nan edge from node 9 to node 3 with capacity 19,\nan edge from node 9 to node 14 with capacity 20,\nan edge from node 9 to node 13 with capacity 10,\nan edge from node 9 to node 0 with capacity 13,\nan edge from node 9 to node 18 with capacity 9,\nan edge from node 10 to node 16 with capacity 20,\nan edge from node 10 to node 11 with capacity 10,\nan edge from node 10 to node 15 with capacity 20,\nan edge from node 10 to node 4 with capacity 1,\nan edge from node 11 to node 16 with capacity 3,\nan edge from node 11 to node 10 with capacity 2,\nan edge from node 11 to node 13 with capacity 5,\nan edge from node 11 to node 6 with capacity 6,\nan edge from node 11 to node 8 with capacity 8,\nan edge from node 11 to node 17 with capacity 20,\nan edge from node 11 to node 4 with capacity 10,\nan edge from node 12 to node 16 with capacity 11,\nan edge from node 12 to node 1 with capacity 3,\nan edge from node 12 to node 10 with capacity 14,\nan edge from node 12 to node 9 with capacity 4,\nan edge from node 12 to node 6 with capacity 3,\nan edge from node 12 to node 0 with capacity 18,\nan edge from node 12 to node 18 with capacity 14,\nan edge from node 12 to node 17 with capacity 6,\nan edge from node 12 to node 2 with capacity 14,\nan edge from node 12 to node 4 with capacity 19,\nan edge from node 13 to node 10 with capacity 2,\nan edge from node 13 to node 11 with capacity 2,\nan edge from node 13 to node 9 with capacity 16,\nan edge from node 13 to node 6 with capacity 7,\nan edge from node 13 to node 18 with capacity 3,\nan edge from node 13 to node 2 with capacity 10,\nan edge from node 14 to node 16 with capacity 19,\nan edge from node 14 to node 15 with capacity 9,\nan edge from node 14 to node 18 with capacity 13,\nan edge from node 14 to node 7 with capacity 4,\nan edge from node 14 to node 4 with capacity 17,\nan edge from node 15 to node 0 with capacity 9,\nan edge from node 15 to node 8 with capacity 20,\nan edge from node 15 to node 7 with capacity 6,\nan edge from node 16 to node 12 with capacity 7,\nan edge from node 16 to node 14 with capacity 9,\nan edge from node 16 to node 11 with capacity 17,\nan edge from node 16 to node 0 with capacity 17,\nan edge from node 16 to node 8 with capacity 5,\nan edge from node 16 to node 7 with capacity 3,\nan edge from node 17 to node 1 with capacity 6,\nan edge from node 17 to node 13 with capacity 7,\nan edge from node 17 to node 6 with capacity 12,\nan edge from node 17 to node 18 with capacity 17,\nan edge from node 17 to node 7 with capacity 1,\nan edge from node 18 to node 16 with capacity 11,\nan edge from node 18 to node 5 with capacity 20,\nan edge from node 18 to node 11 with capacity 13,\nWhat is the maximum flow from node 3 to node 16:"
            },
            {
                "from": "gpt",
                "value": "76."
            }
        ]
    },
    {
        "id": "flow-hard-graph476",
        "image": "data/flow/graph_visual/hard/graph476.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 8 with capacity 5,\nan edge from node 0 to node 13 with capacity 16,\nan edge from node 0 to node 5 with capacity 10,\nan edge from node 0 to node 12 with capacity 11,\nan edge from node 1 to node 4 with capacity 13,\nan edge from node 1 to node 8 with capacity 16,\nan edge from node 1 to node 11 with capacity 6,\nan edge from node 1 to node 7 with capacity 13,\nan edge from node 1 to node 10 with capacity 12,\nan edge from node 2 to node 6 with capacity 4,\nan edge from node 2 to node 4 with capacity 5,\nan edge from node 2 to node 8 with capacity 18,\nan edge from node 2 to node 11 with capacity 6,\nan edge from node 2 to node 13 with capacity 18,\nan edge from node 2 to node 7 with capacity 12,\nan edge from node 3 to node 8 with capacity 18,\nan edge from node 3 to node 0 with capacity 20,\nan edge from node 4 to node 9 with capacity 6,\nan edge from node 4 to node 5 with capacity 6,\nan edge from node 4 to node 12 with capacity 20,\nan edge from node 5 to node 8 with capacity 2,\nan edge from node 6 to node 11 with capacity 4,\nan edge from node 6 to node 13 with capacity 20,\nan edge from node 6 to node 5 with capacity 18,\nan edge from node 6 to node 10 with capacity 19,\nan edge from node 6 to node 12 with capacity 20,\nan edge from node 6 to node 0 with capacity 5,\nan edge from node 7 to node 8 with capacity 4,\nan edge from node 7 to node 11 with capacity 8,\nan edge from node 7 to node 2 with capacity 16,\nan edge from node 7 to node 12 with capacity 16,\nan edge from node 7 to node 3 with capacity 1,\nan edge from node 8 to node 6 with capacity 14,\nan edge from node 8 to node 1 with capacity 3,\nan edge from node 8 to node 4 with capacity 4,\nan edge from node 8 to node 0 with capacity 8,\nan edge from node 8 to node 3 with capacity 6,\nan edge from node 9 to node 1 with capacity 7,\nan edge from node 9 to node 11 with capacity 15,\nan edge from node 9 to node 12 with capacity 1,\nan edge from node 10 to node 11 with capacity 8,\nan edge from node 10 to node 5 with capacity 11,\nan edge from node 10 to node 3 with capacity 2,\nan edge from node 11 to node 13 with capacity 1,\nan edge from node 11 to node 2 with capacity 3,\nan edge from node 11 to node 3 with capacity 3,\nan edge from node 12 to node 1 with capacity 17,\nan edge from node 12 to node 8 with capacity 2,\nan edge from node 12 to node 11 with capacity 1,\nan edge from node 12 to node 10 with capacity 20,\nan edge from node 13 to node 6 with capacity 19,\nan edge from node 13 to node 8 with capacity 16,\nan edge from node 13 to node 11 with capacity 18,\nan edge from node 13 to node 10 with capacity 1,\nWhat is the maximum flow from node 1 to node 9:"
            },
            {
                "from": "gpt",
                "value": "6."
            }
        ]
    },
    {
        "id": "flow-hard-graph192",
        "image": "data/flow/graph_visual/hard/graph192.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 10 with capacity 6,\nan edge from node 0 to node 7 with capacity 20,\nan edge from node 0 to node 9 with capacity 6,\nan edge from node 0 to node 4 with capacity 11,\nan edge from node 1 to node 10 with capacity 8,\nan edge from node 1 to node 6 with capacity 7,\nan edge from node 1 to node 2 with capacity 12,\nan edge from node 2 to node 6 with capacity 9,\nan edge from node 3 to node 8 with capacity 19,\nan edge from node 3 to node 7 with capacity 17,\nan edge from node 3 to node 1 with capacity 6,\nan edge from node 4 to node 10 with capacity 16,\nan edge from node 4 to node 9 with capacity 8,\nan edge from node 5 to node 10 with capacity 17,\nan edge from node 5 to node 7 with capacity 4,\nan edge from node 5 to node 9 with capacity 18,\nan edge from node 5 to node 11 with capacity 12,\nan edge from node 5 to node 1 with capacity 15,\nan edge from node 5 to node 2 with capacity 7,\nan edge from node 6 to node 10 with capacity 20,\nan edge from node 6 to node 11 with capacity 20,\nan edge from node 6 to node 4 with capacity 1,\nan edge from node 6 to node 5 with capacity 11,\nan edge from node 6 to node 0 with capacity 15,\nan edge from node 7 to node 8 with capacity 10,\nan edge from node 7 to node 2 with capacity 8,\nan edge from node 8 to node 10 with capacity 20,\nan edge from node 8 to node 11 with capacity 15,\nan edge from node 8 to node 0 with capacity 14,\nan edge from node 9 to node 8 with capacity 16,\nan edge from node 9 to node 5 with capacity 7,\nan edge from node 9 to node 2 with capacity 2,\nan edge from node 10 to node 8 with capacity 15,\nan edge from node 10 to node 4 with capacity 15,\nan edge from node 10 to node 3 with capacity 1,\nan edge from node 11 to node 6 with capacity 10,\nan edge from node 11 to node 0 with capacity 1,\nWhat is the maximum flow from node 7 to node 10:"
            },
            {
                "from": "gpt",
                "value": "18."
            }
        ]
    },
    {
        "id": "flow-hard-graph805",
        "image": "data/flow/graph_visual/hard/graph805.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 6 with capacity 9,\nan edge from node 0 to node 10 with capacity 6,\nan edge from node 0 to node 3 with capacity 19,\nan edge from node 1 to node 11 with capacity 15,\nan edge from node 1 to node 10 with capacity 11,\nan edge from node 1 to node 3 with capacity 2,\nan edge from node 1 to node 16 with capacity 5,\nan edge from node 2 to node 8 with capacity 18,\nan edge from node 2 to node 9 with capacity 18,\nan edge from node 2 to node 15 with capacity 12,\nan edge from node 3 to node 4 with capacity 18,\nan edge from node 3 to node 6 with capacity 3,\nan edge from node 3 to node 10 with capacity 20,\nan edge from node 3 to node 16 with capacity 6,\nan edge from node 4 to node 15 with capacity 14,\nan edge from node 5 to node 14 with capacity 19,\nan edge from node 5 to node 4 with capacity 16,\nan edge from node 5 to node 9 with capacity 3,\nan edge from node 5 to node 7 with capacity 6,\nan edge from node 6 to node 11 with capacity 16,\nan edge from node 6 to node 4 with capacity 15,\nan edge from node 6 to node 1 with capacity 11,\nan edge from node 6 to node 3 with capacity 12,\nan edge from node 6 to node 15 with capacity 2,\nan edge from node 7 to node 2 with capacity 15,\nan edge from node 7 to node 9 with capacity 15,\nan edge from node 7 to node 6 with capacity 18,\nan edge from node 8 to node 6 with capacity 15,\nan edge from node 8 to node 5 with capacity 6,\nan edge from node 8 to node 16 with capacity 7,\nan edge from node 9 to node 11 with capacity 9,\nan edge from node 9 to node 14 with capacity 11,\nan edge from node 9 to node 13 with capacity 4,\nan edge from node 9 to node 12 with capacity 18,\nan edge from node 10 to node 2 with capacity 6,\nan edge from node 10 to node 9 with capacity 16,\nan edge from node 10 to node 0 with capacity 16,\nan edge from node 10 to node 5 with capacity 11,\nan edge from node 10 to node 3 with capacity 5,\nan edge from node 11 to node 4 with capacity 2,\nan edge from node 11 to node 3 with capacity 3,\nan edge from node 12 to node 2 with capacity 12,\nan edge from node 12 to node 8 with capacity 10,\nan edge from node 12 to node 10 with capacity 11,\nan edge from node 13 to node 3 with capacity 1,\nan edge from node 13 to node 15 with capacity 14,\nan edge from node 13 to node 16 with capacity 1,\nan edge from node 14 to node 2 with capacity 9,\nan edge from node 14 to node 12 with capacity 7,\nan edge from node 14 to node 5 with capacity 13,\nan edge from node 14 to node 15 with capacity 10,\nan edge from node 15 to node 14 with capacity 11,\nan edge from node 15 to node 2 with capacity 7,\nan edge from node 15 to node 8 with capacity 2,\nan edge from node 15 to node 16 with capacity 9,\nan edge from node 16 to node 14 with capacity 3,\nan edge from node 16 to node 6 with capacity 15,\nan edge from node 16 to node 12 with capacity 12,\nan edge from node 16 to node 10 with capacity 6,\nan edge from node 16 to node 15 with capacity 6,\nWhat is the maximum flow from node 14 to node 11:"
            },
            {
                "from": "gpt",
                "value": "36."
            }
        ]
    },
    {
        "id": "flow-hard-graph1199",
        "image": "data/flow/graph_visual/hard/graph1199.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 4 with capacity 17,\nan edge from node 0 to node 2 with capacity 20,\nan edge from node 0 to node 14 with capacity 19,\nan edge from node 0 to node 12 with capacity 16,\nan edge from node 0 to node 6 with capacity 11,\nan edge from node 0 to node 9 with capacity 9,\nan edge from node 1 to node 8 with capacity 16,\nan edge from node 1 to node 16 with capacity 4,\nan edge from node 1 to node 5 with capacity 17,\nan edge from node 1 to node 2 with capacity 9,\nan edge from node 1 to node 19 with capacity 14,\nan edge from node 1 to node 11 with capacity 14,\nan edge from node 2 to node 17 with capacity 14,\nan edge from node 2 to node 6 with capacity 17,\nan edge from node 2 to node 11 with capacity 10,\nan edge from node 3 to node 16 with capacity 7,\nan edge from node 3 to node 0 with capacity 16,\nan edge from node 3 to node 10 with capacity 5,\nan edge from node 3 to node 7 with capacity 20,\nan edge from node 3 to node 2 with capacity 4,\nan edge from node 3 to node 14 with capacity 10,\nan edge from node 3 to node 17 with capacity 18,\nan edge from node 3 to node 12 with capacity 18,\nan edge from node 3 to node 15 with capacity 4,\nan edge from node 4 to node 1 with capacity 8,\nan edge from node 4 to node 5 with capacity 2,\nan edge from node 4 to node 7 with capacity 7,\nan edge from node 4 to node 14 with capacity 19,\nan edge from node 4 to node 3 with capacity 12,\nan edge from node 4 to node 11 with capacity 14,\nan edge from node 5 to node 8 with capacity 20,\nan edge from node 5 to node 1 with capacity 7,\nan edge from node 5 to node 0 with capacity 17,\nan edge from node 5 to node 18 with capacity 4,\nan edge from node 5 to node 10 with capacity 12,\nan edge from node 5 to node 17 with capacity 17,\nan edge from node 5 to node 11 with capacity 8,\nan edge from node 6 to node 16 with capacity 11,\nan edge from node 6 to node 0 with capacity 5,\nan edge from node 6 to node 14 with capacity 16,\nan edge from node 6 to node 19 with capacity 3,\nan edge from node 6 to node 11 with capacity 6,\nan edge from node 6 to node 9 with capacity 18,\nan edge from node 6 to node 15 with capacity 20,\nan edge from node 7 to node 1 with capacity 3,\nan edge from node 7 to node 0 with capacity 20,\nan edge from node 7 to node 18 with capacity 15,\nan edge from node 7 to node 4 with capacity 6,\nan edge from node 7 to node 10 with capacity 13,\nan edge from node 7 to node 14 with capacity 7,\nan edge from node 7 to node 12 with capacity 6,\nan edge from node 7 to node 9 with capacity 4,\nan edge from node 8 to node 1 with capacity 4,\nan edge from node 8 to node 12 with capacity 6,\nan edge from node 8 to node 6 with capacity 10,\nan edge from node 8 to node 9 with capacity 14,\nan edge from node 8 to node 15 with capacity 4,\nan edge from node 9 to node 5 with capacity 14,\nan edge from node 9 to node 4 with capacity 14,\nan edge from node 9 to node 12 with capacity 3,\nan edge from node 10 to node 18 with capacity 11,\nan edge from node 10 to node 6 with capacity 16,\nan edge from node 10 to node 3 with capacity 4,\nan edge from node 11 to node 14 with capacity 10,\nan edge from node 11 to node 15 with capacity 13,\nan edge from node 12 to node 0 with capacity 12,\nan edge from node 12 to node 10 with capacity 16,\nan edge from node 12 to node 17 with capacity 2,\nan edge from node 12 to node 9 with capacity 2,\nan edge from node 13 to node 8 with capacity 18,\nan edge from node 13 to node 18 with capacity 1,\nan edge from node 13 to node 12 with capacity 5,\nan edge from node 13 to node 11 with capacity 14,\nan edge from node 14 to node 4 with capacity 5,\nan edge from node 14 to node 10 with capacity 2,\nan edge from node 14 to node 7 with capacity 15,\nan edge from node 14 to node 19 with capacity 17,\nan edge from node 14 to node 11 with capacity 4,\nan edge from node 15 to node 8 with capacity 13,\nan edge from node 15 to node 0 with capacity 5,\nan edge from node 15 to node 13 with capacity 10,\nan edge from node 15 to node 17 with capacity 15,\nan edge from node 15 to node 6 with capacity 5,\nan edge from node 15 to node 3 with capacity 7,\nan edge from node 15 to node 11 with capacity 13,\nan edge from node 16 to node 0 with capacity 8,\nan edge from node 16 to node 13 with capacity 9,\nan edge from node 16 to node 10 with capacity 8,\nan edge from node 16 to node 7 with capacity 7,\nan edge from node 16 to node 2 with capacity 5,\nan edge from node 17 to node 16 with capacity 19,\nan edge from node 17 to node 12 with capacity 7,\nan edge from node 17 to node 9 with capacity 4,\nan edge from node 18 to node 8 with capacity 7,\nan edge from node 18 to node 7 with capacity 13,\nan edge from node 18 to node 17 with capacity 13,\nan edge from node 18 to node 9 with capacity 18,\nan edge from node 18 to node 15 with capacity 7,\nan edge from node 19 to node 6 with capacity 9,\nWhat is the maximum flow from node 17 to node 19:"
            },
            {
                "from": "gpt",
                "value": "30."
            }
        ]
    },
    {
        "id": "flow-hard-graph50",
        "image": "data/flow/graph_visual/hard/graph50.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 3 with capacity 5,\nan edge from node 0 to node 5 with capacity 13,\nan edge from node 1 to node 4 with capacity 5,\nan edge from node 1 to node 5 with capacity 3,\nan edge from node 1 to node 7 with capacity 15,\nan edge from node 1 to node 10 with capacity 20,\nan edge from node 2 to node 6 with capacity 8,\nan edge from node 2 to node 0 with capacity 11,\nan edge from node 2 to node 7 with capacity 5,\nan edge from node 3 to node 7 with capacity 1,\nan edge from node 4 to node 9 with capacity 4,\nan edge from node 5 to node 1 with capacity 20,\nan edge from node 5 to node 6 with capacity 13,\nan edge from node 5 to node 4 with capacity 20,\nan edge from node 6 to node 5 with capacity 18,\nan edge from node 7 to node 1 with capacity 5,\nan edge from node 7 to node 4 with capacity 9,\nan edge from node 7 to node 0 with capacity 2,\nan edge from node 8 to node 2 with capacity 3,\nan edge from node 9 to node 5 with capacity 1,\nan edge from node 10 to node 3 with capacity 9,\nan edge from node 10 to node 8 with capacity 12,\nan edge from node 10 to node 5 with capacity 3,\nWhat is the maximum flow from node 5 to node 9:"
            },
            {
                "from": "gpt",
                "value": "4."
            }
        ]
    },
    {
        "id": "flow-hard-graph120",
        "image": "data/flow/graph_visual/hard/graph120.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 9 with capacity 15,\nan edge from node 0 to node 1 with capacity 20,\nan edge from node 0 to node 7 with capacity 16,\nan edge from node 1 to node 3 with capacity 10,\nan edge from node 1 to node 8 with capacity 15,\nan edge from node 1 to node 0 with capacity 6,\nan edge from node 1 to node 5 with capacity 2,\nan edge from node 2 to node 4 with capacity 13,\nan edge from node 2 to node 8 with capacity 4,\nan edge from node 2 to node 1 with capacity 7,\nan edge from node 2 to node 7 with capacity 16,\nan edge from node 4 to node 3 with capacity 20,\nan edge from node 4 to node 8 with capacity 16,\nan edge from node 4 to node 0 with capacity 12,\nan edge from node 4 to node 9 with capacity 12,\nan edge from node 5 to node 11 with capacity 18,\nan edge from node 5 to node 3 with capacity 10,\nan edge from node 5 to node 10 with capacity 14,\nan edge from node 6 to node 4 with capacity 3,\nan edge from node 6 to node 8 with capacity 19,\nan edge from node 6 to node 5 with capacity 10,\nan edge from node 6 to node 1 with capacity 10,\nan edge from node 7 to node 3 with capacity 17,\nan edge from node 7 to node 8 with capacity 12,\nan edge from node 7 to node 0 with capacity 4,\nan edge from node 7 to node 1 with capacity 6,\nan edge from node 7 to node 10 with capacity 10,\nan edge from node 8 to node 11 with capacity 17,\nan edge from node 8 to node 3 with capacity 11,\nan edge from node 8 to node 0 with capacity 1,\nan edge from node 8 to node 5 with capacity 15,\nan edge from node 8 to node 2 with capacity 2,\nan edge from node 8 to node 6 with capacity 14,\nan edge from node 8 to node 1 with capacity 14,\nan edge from node 8 to node 10 with capacity 5,\nan edge from node 9 to node 4 with capacity 6,\nan edge from node 9 to node 8 with capacity 7,\nan edge from node 9 to node 5 with capacity 5,\nan edge from node 10 to node 11 with capacity 18,\nan edge from node 10 to node 3 with capacity 1,\nan edge from node 10 to node 8 with capacity 11,\nan edge from node 10 to node 2 with capacity 2,\nan edge from node 10 to node 7 with capacity 13,\nan edge from node 11 to node 0 with capacity 3,\nan edge from node 11 to node 10 with capacity 5,\nWhat is the maximum flow from node 2 to node 3:"
            },
            {
                "from": "gpt",
                "value": "40."
            }
        ]
    },
    {
        "id": "flow-hard-graph890",
        "image": "data/flow/graph_visual/hard/graph890.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 15 with capacity 16,\nan edge from node 0 to node 1 with capacity 17,\nan edge from node 0 to node 10 with capacity 6,\nan edge from node 0 to node 8 with capacity 19,\nan edge from node 1 to node 14 with capacity 13,\nan edge from node 1 to node 12 with capacity 15,\nan edge from node 1 to node 16 with capacity 10,\nan edge from node 1 to node 10 with capacity 8,\nan edge from node 1 to node 0 with capacity 3,\nan edge from node 2 to node 6 with capacity 2,\nan edge from node 2 to node 5 with capacity 9,\nan edge from node 2 to node 16 with capacity 2,\nan edge from node 3 to node 11 with capacity 13,\nan edge from node 3 to node 17 with capacity 6,\nan edge from node 3 to node 7 with capacity 2,\nan edge from node 3 to node 16 with capacity 11,\nan edge from node 3 to node 13 with capacity 2,\nan edge from node 3 to node 8 with capacity 16,\nan edge from node 4 to node 3 with capacity 9,\nan edge from node 4 to node 14 with capacity 12,\nan edge from node 4 to node 12 with capacity 5,\nan edge from node 5 to node 15 with capacity 1,\nan edge from node 5 to node 17 with capacity 20,\nan edge from node 5 to node 14 with capacity 20,\nan edge from node 5 to node 7 with capacity 15,\nan edge from node 5 to node 16 with capacity 10,\nan edge from node 6 to node 17 with capacity 6,\nan edge from node 6 to node 3 with capacity 17,\nan edge from node 6 to node 1 with capacity 2,\nan edge from node 7 to node 6 with capacity 5,\nan edge from node 7 to node 5 with capacity 20,\nan edge from node 7 to node 17 with capacity 4,\nan edge from node 7 to node 1 with capacity 5,\nan edge from node 7 to node 14 with capacity 15,\nan edge from node 7 to node 10 with capacity 20,\nan edge from node 7 to node 8 with capacity 16,\nan edge from node 7 to node 2 with capacity 1,\nan edge from node 8 to node 15 with capacity 4,\nan edge from node 8 to node 11 with capacity 10,\nan edge from node 8 to node 12 with capacity 14,\nan edge from node 8 to node 2 with capacity 18,\nan edge from node 9 to node 6 with capacity 1,\nan edge from node 9 to node 5 with capacity 16,\nan edge from node 9 to node 14 with capacity 8,\nan edge from node 9 to node 16 with capacity 17,\nan edge from node 9 to node 10 with capacity 1,\nan edge from node 9 to node 13 with capacity 18,\nan edge from node 9 to node 0 with capacity 11,\nan edge from node 10 to node 15 with capacity 16,\nan edge from node 10 to node 9 with capacity 1,\nan edge from node 10 to node 17 with capacity 3,\nan edge from node 10 to node 1 with capacity 7,\nan edge from node 10 to node 0 with capacity 15,\nan edge from node 10 to node 8 with capacity 12,\nan edge from node 11 to node 5 with capacity 4,\nan edge from node 11 to node 14 with capacity 2,\nan edge from node 11 to node 16 with capacity 17,\nan edge from node 11 to node 13 with capacity 13,\nan edge from node 11 to node 0 with capacity 10,\nan edge from node 11 to node 4 with capacity 9,\nan edge from node 12 to node 15 with capacity 14,\nan edge from node 12 to node 1 with capacity 8,\nan edge from node 12 to node 0 with capacity 16,\nan edge from node 12 to node 2 with capacity 16,\nan edge from node 13 to node 5 with capacity 20,\nan edge from node 13 to node 1 with capacity 12,\nan edge from node 14 to node 17 with capacity 4,\nan edge from node 14 to node 12 with capacity 15,\nan edge from node 14 to node 16 with capacity 10,\nan edge from node 14 to node 0 with capacity 17,\nan edge from node 14 to node 2 with capacity 11,\nan edge from node 15 to node 5 with capacity 5,\nan edge from node 15 to node 17 with capacity 4,\nan edge from node 15 to node 14 with capacity 7,\nan edge from node 15 to node 7 with capacity 3,\nan edge from node 16 to node 15 with capacity 17,\nan edge from node 16 to node 11 with capacity 10,\nan edge from node 16 to node 5 with capacity 4,\nan edge from node 16 to node 4 with capacity 15,\nan edge from node 17 to node 15 with capacity 4,\nan edge from node 17 to node 5 with capacity 10,\nan edge from node 17 to node 12 with capacity 3,\nan edge from node 17 to node 16 with capacity 18,\nWhat is the maximum flow from node 2 to node 5:"
            },
            {
                "from": "gpt",
                "value": "13."
            }
        ]
    },
    {
        "id": "flow-hard-graph678",
        "image": "data/flow/graph_visual/hard/graph678.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 15 with capacity 11,\nan edge from node 0 to node 8 with capacity 3,\nan edge from node 0 to node 2 with capacity 2,\nan edge from node 0 to node 13 with capacity 8,\nan edge from node 0 to node 10 with capacity 6,\nan edge from node 1 to node 11 with capacity 8,\nan edge from node 1 to node 10 with capacity 4,\nan edge from node 1 to node 5 with capacity 17,\nan edge from node 1 to node 0 with capacity 18,\nan edge from node 2 to node 6 with capacity 11,\nan edge from node 2 to node 3 with capacity 2,\nan edge from node 2 to node 7 with capacity 12,\nan edge from node 2 to node 13 with capacity 13,\nan edge from node 2 to node 0 with capacity 6,\nan edge from node 3 to node 11 with capacity 12,\nan edge from node 3 to node 14 with capacity 9,\nan edge from node 3 to node 8 with capacity 7,\nan edge from node 3 to node 10 with capacity 16,\nan edge from node 3 to node 9 with capacity 12,\nan edge from node 4 to node 11 with capacity 8,\nan edge from node 4 to node 7 with capacity 11,\nan edge from node 4 to node 5 with capacity 20,\nan edge from node 5 to node 11 with capacity 17,\nan edge from node 5 to node 6 with capacity 3,\nan edge from node 5 to node 12 with capacity 20,\nan edge from node 6 to node 11 with capacity 4,\nan edge from node 6 to node 14 with capacity 3,\nan edge from node 6 to node 12 with capacity 10,\nan edge from node 6 to node 8 with capacity 5,\nan edge from node 6 to node 13 with capacity 6,\nan edge from node 6 to node 1 with capacity 4,\nan edge from node 7 to node 11 with capacity 13,\nan edge from node 7 to node 14 with capacity 13,\nan edge from node 7 to node 2 with capacity 2,\nan edge from node 7 to node 0 with capacity 10,\nan edge from node 8 to node 14 with capacity 3,\nan edge from node 8 to node 9 with capacity 7,\nan edge from node 9 to node 4 with capacity 2,\nan edge from node 9 to node 12 with capacity 7,\nan edge from node 9 to node 8 with capacity 17,\nan edge from node 9 to node 7 with capacity 7,\nan edge from node 9 to node 13 with capacity 7,\nan edge from node 9 to node 0 with capacity 2,\nan edge from node 10 to node 0 with capacity 20,\nan edge from node 11 to node 14 with capacity 12,\nan edge from node 11 to node 7 with capacity 16,\nan edge from node 11 to node 13 with capacity 10,\nan edge from node 11 to node 1 with capacity 6,\nan edge from node 12 to node 3 with capacity 19,\nan edge from node 12 to node 9 with capacity 11,\nan edge from node 12 to node 5 with capacity 17,\nan edge from node 12 to node 0 with capacity 7,\nan edge from node 13 to node 14 with capacity 1,\nan edge from node 13 to node 10 with capacity 19,\nan edge from node 13 to node 9 with capacity 1,\nan edge from node 13 to node 0 with capacity 19,\nan edge from node 14 to node 12 with capacity 15,\nan edge from node 14 to node 15 with capacity 20,\nan edge from node 14 to node 8 with capacity 18,\nan edge from node 14 to node 2 with capacity 20,\nan edge from node 14 to node 13 with capacity 12,\nan edge from node 15 to node 4 with capacity 11,\nan edge from node 15 to node 6 with capacity 3,\nan edge from node 15 to node 9 with capacity 17,\nWhat is the maximum flow from node 1 to node 7:"
            },
            {
                "from": "gpt",
                "value": "43."
            }
        ]
    },
    {
        "id": "flow-hard-graph910",
        "image": "data/flow/graph_visual/hard/graph910.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 8 with capacity 19,\nan edge from node 0 to node 9 with capacity 20,\nan edge from node 0 to node 2 with capacity 19,\nan edge from node 0 to node 7 with capacity 1,\nan edge from node 1 to node 12 with capacity 17,\nan edge from node 1 to node 0 with capacity 14,\nan edge from node 2 to node 12 with capacity 9,\nan edge from node 2 to node 4 with capacity 12,\nan edge from node 2 to node 1 with capacity 19,\nan edge from node 3 to node 6 with capacity 19,\nan edge from node 3 to node 8 with capacity 14,\nan edge from node 4 to node 17 with capacity 1,\nan edge from node 4 to node 9 with capacity 17,\nan edge from node 4 to node 12 with capacity 16,\nan edge from node 4 to node 15 with capacity 6,\nan edge from node 5 to node 6 with capacity 3,\nan edge from node 5 to node 14 with capacity 3,\nan edge from node 5 to node 3 with capacity 18,\nan edge from node 5 to node 11 with capacity 10,\nan edge from node 5 to node 15 with capacity 20,\nan edge from node 6 to node 17 with capacity 16,\nan edge from node 6 to node 4 with capacity 10,\nan edge from node 6 to node 15 with capacity 1,\nan edge from node 6 to node 0 with capacity 8,\nan edge from node 7 to node 6 with capacity 4,\nan edge from node 7 to node 14 with capacity 14,\nan edge from node 7 to node 3 with capacity 6,\nan edge from node 7 to node 8 with capacity 9,\nan edge from node 7 to node 17 with capacity 15,\nan edge from node 7 to node 4 with capacity 2,\nan edge from node 7 to node 15 with capacity 20,\nan edge from node 8 to node 17 with capacity 16,\nan edge from node 8 to node 9 with capacity 19,\nan edge from node 8 to node 4 with capacity 3,\nan edge from node 8 to node 13 with capacity 19,\nan edge from node 9 to node 13 with capacity 4,\nan edge from node 9 to node 5 with capacity 12,\nan edge from node 9 to node 16 with capacity 10,\nan edge from node 10 to node 14 with capacity 16,\nan edge from node 10 to node 3 with capacity 14,\nan edge from node 10 to node 8 with capacity 3,\nan edge from node 10 to node 9 with capacity 20,\nan edge from node 10 to node 12 with capacity 17,\nan edge from node 10 to node 13 with capacity 14,\nan edge from node 11 to node 6 with capacity 16,\nan edge from node 11 to node 3 with capacity 9,\nan edge from node 11 to node 12 with capacity 16,\nan edge from node 11 to node 10 with capacity 15,\nan edge from node 11 to node 4 with capacity 5,\nan edge from node 12 to node 2 with capacity 5,\nan edge from node 12 to node 15 with capacity 20,\nan edge from node 13 to node 6 with capacity 13,\nan edge from node 14 to node 6 with capacity 5,\nan edge from node 14 to node 11 with capacity 15,\nan edge from node 14 to node 13 with capacity 9,\nan edge from node 14 to node 0 with capacity 17,\nan edge from node 15 to node 6 with capacity 1,\nan edge from node 15 to node 3 with capacity 2,\nan edge from node 15 to node 9 with capacity 7,\nan edge from node 15 to node 10 with capacity 1,\nan edge from node 15 to node 16 with capacity 7,\nan edge from node 15 to node 1 with capacity 1,\nan edge from node 15 to node 7 with capacity 6,\nan edge from node 15 to node 0 with capacity 11,\nan edge from node 16 to node 9 with capacity 13,\nan edge from node 16 to node 12 with capacity 11,\nan edge from node 16 to node 4 with capacity 19,\nan edge from node 16 to node 0 with capacity 18,\nan edge from node 17 to node 6 with capacity 8,\nan edge from node 17 to node 11 with capacity 3,\nan edge from node 17 to node 4 with capacity 6,\nan edge from node 17 to node 13 with capacity 19,\nan edge from node 17 to node 1 with capacity 18,\nan edge from node 17 to node 15 with capacity 11,\nan edge from node 17 to node 0 with capacity 13,\nWhat is the maximum flow from node 1 to node 9:"
            },
            {
                "from": "gpt",
                "value": "31."
            }
        ]
    },
    {
        "id": "flow-hard-graph16",
        "image": "data/flow/graph_visual/hard/graph16.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 3 with capacity 5,\nan edge from node 0 to node 4 with capacity 4,\nan edge from node 1 to node 5 with capacity 9,\nan edge from node 1 to node 3 with capacity 2,\nan edge from node 1 to node 4 with capacity 10,\nan edge from node 1 to node 9 with capacity 3,\nan edge from node 2 to node 8 with capacity 18,\nan edge from node 2 to node 3 with capacity 1,\nan edge from node 3 to node 5 with capacity 1,\nan edge from node 3 to node 2 with capacity 9,\nan edge from node 4 to node 2 with capacity 8,\nan edge from node 4 to node 3 with capacity 12,\nan edge from node 5 to node 8 with capacity 2,\nan edge from node 5 to node 1 with capacity 17,\nan edge from node 5 to node 0 with capacity 16,\nan edge from node 6 to node 3 with capacity 8,\nan edge from node 6 to node 1 with capacity 18,\nan edge from node 6 to node 0 with capacity 9,\nan edge from node 7 to node 5 with capacity 19,\nan edge from node 7 to node 6 with capacity 20,\nan edge from node 7 to node 10 with capacity 9,\nan edge from node 7 to node 4 with capacity 9,\nan edge from node 7 to node 9 with capacity 12,\nan edge from node 9 to node 6 with capacity 3,\nan edge from node 9 to node 4 with capacity 12,\nan edge from node 9 to node 0 with capacity 9,\nan edge from node 10 to node 5 with capacity 11,\nan edge from node 10 to node 1 with capacity 16,\nWhat is the maximum flow from node 5 to node 3:"
            },
            {
                "from": "gpt",
                "value": "23."
            }
        ]
    },
    {
        "id": "flow-hard-graph414",
        "image": "data/flow/graph_visual/hard/graph414.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 13 with capacity 6,\nan edge from node 0 to node 5 with capacity 18,\nan edge from node 0 to node 3 with capacity 5,\nan edge from node 1 to node 11 with capacity 13,\nan edge from node 1 to node 4 with capacity 7,\nan edge from node 1 to node 8 with capacity 15,\nan edge from node 1 to node 2 with capacity 19,\nan edge from node 1 to node 12 with capacity 10,\nan edge from node 1 to node 5 with capacity 5,\nan edge from node 2 to node 1 with capacity 14,\nan edge from node 2 to node 10 with capacity 20,\nan edge from node 2 to node 8 with capacity 20,\nan edge from node 2 to node 7 with capacity 19,\nan edge from node 2 to node 12 with capacity 16,\nan edge from node 2 to node 6 with capacity 7,\nan edge from node 3 to node 1 with capacity 19,\nan edge from node 3 to node 2 with capacity 7,\nan edge from node 4 to node 13 with capacity 5,\nan edge from node 4 to node 6 with capacity 11,\nan edge from node 5 to node 9 with capacity 19,\nan edge from node 5 to node 0 with capacity 9,\nan edge from node 7 to node 9 with capacity 16,\nan edge from node 7 to node 13 with capacity 1,\nan edge from node 7 to node 12 with capacity 1,\nan edge from node 8 to node 4 with capacity 9,\nan edge from node 8 to node 12 with capacity 18,\nan edge from node 9 to node 11 with capacity 4,\nan edge from node 9 to node 4 with capacity 1,\nan edge from node 9 to node 6 with capacity 6,\nan edge from node 10 to node 11 with capacity 9,\nan edge from node 10 to node 4 with capacity 7,\nan edge from node 10 to node 2 with capacity 6,\nan edge from node 10 to node 12 with capacity 11,\nan edge from node 10 to node 3 with capacity 2,\nan edge from node 11 to node 1 with capacity 7,\nan edge from node 11 to node 13 with capacity 11,\nan edge from node 11 to node 6 with capacity 12,\nan edge from node 12 to node 8 with capacity 20,\nan edge from node 12 to node 0 with capacity 6,\nan edge from node 13 to node 4 with capacity 19,\nan edge from node 13 to node 10 with capacity 19,\nan edge from node 13 to node 2 with capacity 8,\nan edge from node 13 to node 0 with capacity 7,\nWhat is the maximum flow from node 2 to node 4:"
            },
            {
                "from": "gpt",
                "value": "42."
            }
        ]
    },
    {
        "id": "flow-hard-graph140",
        "image": "data/flow/graph_visual/hard/graph140.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 10 with capacity 13,\nan edge from node 0 to node 5 with capacity 8,\nan edge from node 1 to node 10 with capacity 2,\nan edge from node 1 to node 5 with capacity 15,\nan edge from node 1 to node 4 with capacity 15,\nan edge from node 1 to node 11 with capacity 9,\nan edge from node 1 to node 8 with capacity 16,\nan edge from node 2 to node 3 with capacity 5,\nan edge from node 2 to node 0 with capacity 7,\nan edge from node 3 to node 10 with capacity 18,\nan edge from node 3 to node 2 with capacity 13,\nan edge from node 4 to node 1 with capacity 2,\nan edge from node 4 to node 3 with capacity 5,\nan edge from node 4 to node 0 with capacity 20,\nan edge from node 4 to node 9 with capacity 1,\nan edge from node 4 to node 6 with capacity 1,\nan edge from node 4 to node 11 with capacity 15,\nan edge from node 5 to node 10 with capacity 18,\nan edge from node 5 to node 9 with capacity 19,\nan edge from node 5 to node 8 with capacity 13,\nan edge from node 6 to node 5 with capacity 17,\nan edge from node 6 to node 7 with capacity 1,\nan edge from node 7 to node 5 with capacity 13,\nan edge from node 7 to node 4 with capacity 12,\nan edge from node 8 to node 4 with capacity 5,\nan edge from node 9 to node 6 with capacity 14,\nan edge from node 9 to node 8 with capacity 7,\nan edge from node 10 to node 9 with capacity 2,\nan edge from node 10 to node 11 with capacity 10,\nan edge from node 11 to node 2 with capacity 16,\nan edge from node 11 to node 4 with capacity 16,\nan edge from node 11 to node 0 with capacity 1,\nWhat is the maximum flow from node 4 to node 11:"
            },
            {
                "from": "gpt",
                "value": "27."
            }
        ]
    },
    {
        "id": "flow-hard-graph21",
        "image": "data/flow/graph_visual/hard/graph21.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 6 with capacity 4,\nan edge from node 0 to node 7 with capacity 3,\nan edge from node 0 to node 1 with capacity 12,\nan edge from node 0 to node 4 with capacity 18,\nan edge from node 1 to node 2 with capacity 20,\nan edge from node 1 to node 7 with capacity 7,\nan edge from node 1 to node 10 with capacity 18,\nan edge from node 2 to node 5 with capacity 15,\nan edge from node 2 to node 6 with capacity 6,\nan edge from node 3 to node 4 with capacity 15,\nan edge from node 4 to node 9 with capacity 20,\nan edge from node 4 to node 6 with capacity 14,\nan edge from node 4 to node 7 with capacity 5,\nan edge from node 4 to node 8 with capacity 11,\nan edge from node 4 to node 0 with capacity 10,\nan edge from node 6 to node 2 with capacity 17,\nan edge from node 6 to node 8 with capacity 6,\nan edge from node 7 to node 3 with capacity 12,\nan edge from node 7 to node 2 with capacity 15,\nan edge from node 7 to node 9 with capacity 14,\nan edge from node 7 to node 10 with capacity 14,\nan edge from node 8 to node 5 with capacity 5,\nan edge from node 8 to node 9 with capacity 13,\nan edge from node 8 to node 10 with capacity 8,\nan edge from node 10 to node 3 with capacity 8,\nan edge from node 10 to node 5 with capacity 15,\nan edge from node 10 to node 2 with capacity 20,\nan edge from node 10 to node 9 with capacity 15,\nan edge from node 10 to node 1 with capacity 5,\nan edge from node 10 to node 4 with capacity 6,\nWhat is the maximum flow from node 10 to node 2:"
            },
            {
                "from": "gpt",
                "value": "39."
            }
        ]
    },
    {
        "id": "flow-hard-graph1162",
        "image": "data/flow/graph_visual/hard/graph1162.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 19 with capacity 3,\nan edge from node 0 to node 14 with capacity 13,\nan edge from node 0 to node 17 with capacity 3,\nan edge from node 0 to node 13 with capacity 9,\nan edge from node 0 to node 2 with capacity 2,\nan edge from node 0 to node 16 with capacity 1,\nan edge from node 0 to node 1 with capacity 13,\nan edge from node 1 to node 13 with capacity 3,\nan edge from node 1 to node 16 with capacity 6,\nan edge from node 2 to node 10 with capacity 2,\nan edge from node 2 to node 17 with capacity 10,\nan edge from node 2 to node 8 with capacity 20,\nan edge from node 2 to node 16 with capacity 19,\nan edge from node 3 to node 14 with capacity 7,\nan edge from node 3 to node 10 with capacity 19,\nan edge from node 3 to node 8 with capacity 4,\nan edge from node 3 to node 11 with capacity 7,\nan edge from node 3 to node 18 with capacity 10,\nan edge from node 4 to node 14 with capacity 3,\nan edge from node 4 to node 13 with capacity 1,\nan edge from node 4 to node 8 with capacity 17,\nan edge from node 4 to node 0 with capacity 10,\nan edge from node 4 to node 18 with capacity 8,\nan edge from node 5 to node 9 with capacity 6,\nan edge from node 6 to node 10 with capacity 3,\nan edge from node 6 to node 11 with capacity 8,\nan edge from node 6 to node 4 with capacity 16,\nan edge from node 6 to node 9 with capacity 17,\nan edge from node 7 to node 14 with capacity 14,\nan edge from node 7 to node 10 with capacity 15,\nan edge from node 7 to node 6 with capacity 11,\nan edge from node 7 to node 12 with capacity 7,\nan edge from node 8 to node 19 with capacity 4,\nan edge from node 8 to node 12 with capacity 19,\nan edge from node 8 to node 18 with capacity 20,\nan edge from node 8 to node 5 with capacity 20,\nan edge from node 9 to node 10 with capacity 13,\nan edge from node 9 to node 13 with capacity 8,\nan edge from node 9 to node 15 with capacity 9,\nan edge from node 10 to node 19 with capacity 3,\nan edge from node 10 to node 3 with capacity 19,\nan edge from node 10 to node 17 with capacity 20,\nan edge from node 10 to node 8 with capacity 11,\nan edge from node 10 to node 1 with capacity 5,\nan edge from node 10 to node 5 with capacity 8,\nan edge from node 11 to node 19 with capacity 14,\nan edge from node 11 to node 10 with capacity 17,\nan edge from node 11 to node 13 with capacity 6,\nan edge from node 12 to node 19 with capacity 8,\nan edge from node 12 to node 14 with capacity 19,\nan edge from node 12 to node 7 with capacity 7,\nan edge from node 12 to node 16 with capacity 9,\nan edge from node 12 to node 1 with capacity 7,\nan edge from node 12 to node 18 with capacity 8,\nan edge from node 13 to node 17 with capacity 9,\nan edge from node 13 to node 8 with capacity 17,\nan edge from node 13 to node 7 with capacity 9,\nan edge from node 13 to node 4 with capacity 3,\nan edge from node 13 to node 18 with capacity 15,\nan edge from node 14 to node 13 with capacity 12,\nan edge from node 14 to node 15 with capacity 1,\nan edge from node 14 to node 9 with capacity 20,\nan edge from node 15 to node 3 with capacity 7,\nan edge from node 15 to node 8 with capacity 18,\nan edge from node 15 to node 11 with capacity 9,\nan edge from node 15 to node 7 with capacity 10,\nan edge from node 15 to node 9 with capacity 18,\nan edge from node 15 to node 1 with capacity 12,\nan edge from node 15 to node 5 with capacity 13,\nan edge from node 16 to node 8 with capacity 20,\nan edge from node 17 to node 14 with capacity 6,\nan edge from node 17 to node 8 with capacity 2,\nan edge from node 17 to node 0 with capacity 2,\nan edge from node 17 to node 4 with capacity 16,\nan edge from node 17 to node 9 with capacity 16,\nan edge from node 17 to node 16 with capacity 10,\nan edge from node 18 to node 19 with capacity 16,\nan edge from node 18 to node 10 with capacity 9,\nan edge from node 18 to node 12 with capacity 12,\nan edge from node 18 to node 17 with capacity 3,\nan edge from node 18 to node 8 with capacity 13,\nan edge from node 18 to node 0 with capacity 12,\nan edge from node 18 to node 4 with capacity 15,\nan edge from node 18 to node 16 with capacity 17,\nan edge from node 18 to node 1 with capacity 19,\nan edge from node 19 to node 3 with capacity 10,\nan edge from node 19 to node 17 with capacity 20,\nan edge from node 19 to node 11 with capacity 19,\nan edge from node 19 to node 4 with capacity 18,\nWhat is the maximum flow from node 2 to node 10:"
            },
            {
                "from": "gpt",
                "value": "51."
            }
        ]
    },
    {
        "id": "flow-hard-graph224",
        "image": "data/flow/graph_visual/hard/graph224.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 5 with capacity 2,\nan edge from node 0 to node 8 with capacity 5,\nan edge from node 0 to node 2 with capacity 13,\nan edge from node 1 to node 0 with capacity 19,\nan edge from node 1 to node 4 with capacity 19,\nan edge from node 2 to node 5 with capacity 10,\nan edge from node 3 to node 5 with capacity 18,\nan edge from node 4 to node 0 with capacity 19,\nan edge from node 4 to node 6 with capacity 9,\nan edge from node 4 to node 10 with capacity 8,\nan edge from node 5 to node 11 with capacity 14,\nan edge from node 5 to node 8 with capacity 3,\nan edge from node 5 to node 7 with capacity 16,\nan edge from node 6 to node 3 with capacity 14,\nan edge from node 6 to node 9 with capacity 17,\nan edge from node 6 to node 7 with capacity 7,\nan edge from node 6 to node 10 with capacity 14,\nan edge from node 7 to node 11 with capacity 2,\nan edge from node 7 to node 5 with capacity 17,\nan edge from node 7 to node 3 with capacity 18,\nan edge from node 7 to node 1 with capacity 5,\nan edge from node 8 to node 5 with capacity 2,\nan edge from node 8 to node 3 with capacity 4,\nan edge from node 8 to node 9 with capacity 20,\nan edge from node 8 to node 7 with capacity 2,\nan edge from node 8 to node 2 with capacity 17,\nan edge from node 8 to node 1 with capacity 2,\nan edge from node 9 to node 11 with capacity 3,\nan edge from node 9 to node 8 with capacity 13,\nan edge from node 9 to node 0 with capacity 3,\nan edge from node 9 to node 3 with capacity 14,\nan edge from node 9 to node 7 with capacity 11,\nan edge from node 9 to node 10 with capacity 14,\nan edge from node 9 to node 4 with capacity 12,\nan edge from node 10 to node 5 with capacity 20,\nan edge from node 10 to node 8 with capacity 1,\nan edge from node 10 to node 2 with capacity 5,\nan edge from node 10 to node 4 with capacity 13,\nWhat is the maximum flow from node 1 to node 0:"
            },
            {
                "from": "gpt",
                "value": "38."
            }
        ]
    },
    {
        "id": "flow-hard-graph1099",
        "image": "data/flow/graph_visual/hard/graph1099.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 16 with capacity 12,\nan edge from node 0 to node 4 with capacity 13,\nan edge from node 0 to node 17 with capacity 5,\nan edge from node 1 to node 10 with capacity 13,\nan edge from node 1 to node 16 with capacity 7,\nan edge from node 1 to node 4 with capacity 1,\nan edge from node 1 to node 0 with capacity 1,\nan edge from node 1 to node 9 with capacity 6,\nan edge from node 1 to node 5 with capacity 8,\nan edge from node 1 to node 13 with capacity 5,\nan edge from node 1 to node 14 with capacity 3,\nan edge from node 2 to node 11 with capacity 16,\nan edge from node 2 to node 10 with capacity 5,\nan edge from node 2 to node 19 with capacity 1,\nan edge from node 2 to node 7 with capacity 5,\nan edge from node 2 to node 6 with capacity 8,\nan edge from node 3 to node 16 with capacity 15,\nan edge from node 3 to node 0 with capacity 12,\nan edge from node 3 to node 6 with capacity 17,\nan edge from node 4 to node 2 with capacity 14,\nan edge from node 4 to node 0 with capacity 10,\nan edge from node 4 to node 3 with capacity 12,\nan edge from node 4 to node 13 with capacity 3,\nan edge from node 4 to node 6 with capacity 6,\nan edge from node 5 to node 11 with capacity 8,\nan edge from node 5 to node 19 with capacity 3,\nan edge from node 5 to node 6 with capacity 17,\nan edge from node 6 to node 0 with capacity 4,\nan edge from node 6 to node 9 with capacity 9,\nan edge from node 6 to node 17 with capacity 18,\nan edge from node 6 to node 13 with capacity 13,\nan edge from node 6 to node 12 with capacity 9,\nan edge from node 6 to node 7 with capacity 1,\nan edge from node 6 to node 14 with capacity 13,\nan edge from node 6 to node 18 with capacity 19,\nan edge from node 7 to node 8 with capacity 16,\nan edge from node 7 to node 11 with capacity 3,\nan edge from node 7 to node 15 with capacity 6,\nan edge from node 7 to node 4 with capacity 15,\nan edge from node 7 to node 9 with capacity 5,\nan edge from node 7 to node 14 with capacity 16,\nan edge from node 8 to node 0 with capacity 12,\nan edge from node 8 to node 1 with capacity 1,\nan edge from node 8 to node 9 with capacity 14,\nan edge from node 8 to node 7 with capacity 13,\nan edge from node 8 to node 6 with capacity 19,\nan edge from node 8 to node 14 with capacity 8,\nan edge from node 8 to node 18 with capacity 7,\nan edge from node 9 to node 10 with capacity 10,\nan edge from node 9 to node 16 with capacity 16,\nan edge from node 9 to node 1 with capacity 17,\nan edge from node 9 to node 3 with capacity 6,\nan edge from node 9 to node 19 with capacity 18,\nan edge from node 9 to node 5 with capacity 18,\nan edge from node 9 to node 18 with capacity 12,\nan edge from node 10 to node 8 with capacity 6,\nan edge from node 10 to node 11 with capacity 19,\nan edge from node 10 to node 15 with capacity 19,\nan edge from node 11 to node 16 with capacity 14,\nan edge from node 11 to node 4 with capacity 2,\nan edge from node 11 to node 0 with capacity 13,\nan edge from node 11 to node 7 with capacity 19,\nan edge from node 12 to node 4 with capacity 18,\nan edge from node 12 to node 1 with capacity 10,\nan edge from node 12 to node 17 with capacity 18,\nan edge from node 12 to node 3 with capacity 19,\nan edge from node 12 to node 13 with capacity 10,\nan edge from node 13 to node 4 with capacity 9,\nan edge from node 13 to node 18 with capacity 7,\nan edge from node 14 to node 8 with capacity 4,\nan edge from node 14 to node 2 with capacity 8,\nan edge from node 14 to node 1 with capacity 16,\nan edge from node 14 to node 17 with capacity 8,\nan edge from node 14 to node 19 with capacity 5,\nan edge from node 14 to node 13 with capacity 18,\nan edge from node 14 to node 12 with capacity 4,\nan edge from node 15 to node 8 with capacity 14,\nan edge from node 15 to node 16 with capacity 9,\nan edge from node 15 to node 4 with capacity 10,\nan edge from node 15 to node 9 with capacity 16,\nan edge from node 15 to node 12 with capacity 9,\nan edge from node 16 to node 9 with capacity 20,\nan edge from node 16 to node 3 with capacity 1,\nan edge from node 18 to node 16 with capacity 6,\nan edge from node 18 to node 3 with capacity 6,\nan edge from node 18 to node 12 with capacity 3,\nan edge from node 18 to node 6 with capacity 14,\nan edge from node 18 to node 14 with capacity 6,\nan edge from node 19 to node 10 with capacity 14,\nan edge from node 19 to node 16 with capacity 1,\nan edge from node 19 to node 4 with capacity 20,\nan edge from node 19 to node 0 with capacity 8,\nan edge from node 19 to node 5 with capacity 16,\nan edge from node 19 to node 7 with capacity 9,\nWhat is the maximum flow from node 5 to node 17:"
            },
            {
                "from": "gpt",
                "value": "28."
            }
        ]
    },
    {
        "id": "flow-hard-graph938",
        "image": "data/flow/graph_visual/hard/graph938.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 4 with capacity 7,\nan edge from node 1 to node 2 with capacity 2,\nan edge from node 1 to node 3 with capacity 14,\nan edge from node 1 to node 17 with capacity 9,\nan edge from node 1 to node 7 with capacity 18,\nan edge from node 1 to node 15 with capacity 16,\nan edge from node 2 to node 14 with capacity 16,\nan edge from node 3 to node 14 with capacity 19,\nan edge from node 3 to node 16 with capacity 11,\nan edge from node 3 to node 1 with capacity 2,\nan edge from node 3 to node 4 with capacity 8,\nan edge from node 3 to node 7 with capacity 9,\nan edge from node 3 to node 9 with capacity 3,\nan edge from node 3 to node 15 with capacity 14,\nan edge from node 4 to node 2 with capacity 20,\nan edge from node 4 to node 14 with capacity 14,\nan edge from node 4 to node 16 with capacity 13,\nan edge from node 4 to node 11 with capacity 2,\nan edge from node 4 to node 10 with capacity 7,\nan edge from node 5 to node 1 with capacity 16,\nan edge from node 5 to node 13 with capacity 17,\nan edge from node 6 to node 14 with capacity 13,\nan edge from node 6 to node 0 with capacity 11,\nan edge from node 6 to node 3 with capacity 9,\nan edge from node 6 to node 5 with capacity 2,\nan edge from node 6 to node 15 with capacity 9,\nan edge from node 7 to node 2 with capacity 17,\nan edge from node 7 to node 14 with capacity 1,\nan edge from node 7 to node 1 with capacity 9,\nan edge from node 7 to node 17 with capacity 7,\nan edge from node 7 to node 8 with capacity 18,\nan edge from node 7 to node 6 with capacity 8,\nan edge from node 8 to node 16 with capacity 13,\nan edge from node 8 to node 1 with capacity 1,\nan edge from node 8 to node 10 with capacity 12,\nan edge from node 8 to node 6 with capacity 15,\nan edge from node 8 to node 13 with capacity 7,\nan edge from node 9 to node 2 with capacity 10,\nan edge from node 9 to node 17 with capacity 20,\nan edge from node 9 to node 11 with capacity 10,\nan edge from node 9 to node 4 with capacity 10,\nan edge from node 9 to node 7 with capacity 10,\nan edge from node 9 to node 10 with capacity 11,\nan edge from node 10 to node 0 with capacity 13,\nan edge from node 10 to node 5 with capacity 5,\nan edge from node 10 to node 12 with capacity 1,\nan edge from node 10 to node 17 with capacity 10,\nan edge from node 10 to node 8 with capacity 4,\nan edge from node 10 to node 4 with capacity 17,\nan edge from node 10 to node 7 with capacity 11,\nan edge from node 11 to node 7 with capacity 9,\nan edge from node 11 to node 13 with capacity 5,\nan edge from node 12 to node 3 with capacity 8,\nan edge from node 12 to node 10 with capacity 17,\nan edge from node 12 to node 6 with capacity 15,\nan edge from node 13 to node 2 with capacity 10,\nan edge from node 13 to node 3 with capacity 16,\nan edge from node 13 to node 11 with capacity 8,\nan edge from node 13 to node 4 with capacity 7,\nan edge from node 13 to node 15 with capacity 3,\nan edge from node 13 to node 6 with capacity 11,\nan edge from node 14 to node 2 with capacity 19,\nan edge from node 14 to node 0 with capacity 10,\nan edge from node 14 to node 1 with capacity 1,\nan edge from node 14 to node 5 with capacity 10,\nan edge from node 14 to node 8 with capacity 10,\nan edge from node 15 to node 2 with capacity 15,\nan edge from node 15 to node 1 with capacity 18,\nan edge from node 15 to node 5 with capacity 12,\nan edge from node 15 to node 12 with capacity 13,\nan edge from node 15 to node 17 with capacity 13,\nan edge from node 16 to node 14 with capacity 20,\nan edge from node 16 to node 0 with capacity 17,\nan edge from node 16 to node 5 with capacity 15,\nan edge from node 16 to node 17 with capacity 6,\nan edge from node 16 to node 8 with capacity 17,\nan edge from node 16 to node 9 with capacity 5,\nan edge from node 17 to node 2 with capacity 8,\nan edge from node 17 to node 1 with capacity 18,\nan edge from node 17 to node 7 with capacity 16,\nan edge from node 17 to node 6 with capacity 16,\nWhat is the maximum flow from node 16 to node 14:"
            },
            {
                "from": "gpt",
                "value": "70."
            }
        ]
    },
    {
        "id": "flow-hard-graph448",
        "image": "data/flow/graph_visual/hard/graph448.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 13 with capacity 7,\nan edge from node 0 to node 12 with capacity 11,\nan edge from node 0 to node 1 with capacity 18,\nan edge from node 0 to node 7 with capacity 14,\nan edge from node 0 to node 6 with capacity 16,\nan edge from node 0 to node 5 with capacity 12,\nan edge from node 1 to node 12 with capacity 2,\nan edge from node 1 to node 5 with capacity 9,\nan edge from node 1 to node 4 with capacity 14,\nan edge from node 2 to node 1 with capacity 3,\nan edge from node 2 to node 7 with capacity 11,\nan edge from node 2 to node 6 with capacity 19,\nan edge from node 3 to node 8 with capacity 8,\nan edge from node 3 to node 13 with capacity 5,\nan edge from node 3 to node 1 with capacity 10,\nan edge from node 3 to node 10 with capacity 4,\nan edge from node 3 to node 11 with capacity 10,\nan edge from node 4 to node 13 with capacity 8,\nan edge from node 4 to node 5 with capacity 17,\nan edge from node 5 to node 1 with capacity 1,\nan edge from node 5 to node 10 with capacity 5,\nan edge from node 5 to node 11 with capacity 7,\nan edge from node 6 to node 4 with capacity 13,\nan edge from node 7 to node 9 with capacity 4,\nan edge from node 7 to node 0 with capacity 2,\nan edge from node 7 to node 1 with capacity 5,\nan edge from node 8 to node 13 with capacity 10,\nan edge from node 8 to node 12 with capacity 4,\nan edge from node 8 to node 7 with capacity 17,\nan edge from node 8 to node 6 with capacity 8,\nan edge from node 8 to node 10 with capacity 18,\nan edge from node 8 to node 5 with capacity 19,\nan edge from node 9 to node 13 with capacity 5,\nan edge from node 9 to node 12 with capacity 7,\nan edge from node 9 to node 6 with capacity 14,\nan edge from node 10 to node 8 with capacity 4,\nan edge from node 10 to node 12 with capacity 9,\nan edge from node 10 to node 6 with capacity 5,\nan edge from node 10 to node 11 with capacity 1,\nan edge from node 11 to node 13 with capacity 12,\nan edge from node 11 to node 2 with capacity 14,\nan edge from node 11 to node 7 with capacity 12,\nan edge from node 11 to node 4 with capacity 9,\nan edge from node 12 to node 8 with capacity 11,\nan edge from node 12 to node 1 with capacity 15,\nan edge from node 12 to node 6 with capacity 1,\nan edge from node 12 to node 4 with capacity 13,\nan edge from node 13 to node 9 with capacity 13,\nan edge from node 13 to node 0 with capacity 5,\nan edge from node 13 to node 2 with capacity 11,\nan edge from node 13 to node 3 with capacity 18,\nWhat is the maximum flow from node 0 to node 7:"
            },
            {
                "from": "gpt",
                "value": "52."
            }
        ]
    },
    {
        "id": "flow-hard-graph827",
        "image": "data/flow/graph_visual/hard/graph827.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 2 with capacity 4,\nan edge from node 0 to node 3 with capacity 5,\nan edge from node 1 to node 2 with capacity 2,\nan edge from node 1 to node 0 with capacity 4,\nan edge from node 1 to node 6 with capacity 17,\nan edge from node 1 to node 11 with capacity 3,\nan edge from node 1 to node 7 with capacity 3,\nan edge from node 1 to node 3 with capacity 19,\nan edge from node 2 to node 16 with capacity 10,\nan edge from node 2 to node 8 with capacity 12,\nan edge from node 2 to node 0 with capacity 11,\nan edge from node 2 to node 5 with capacity 5,\nan edge from node 2 to node 14 with capacity 13,\nan edge from node 2 to node 4 with capacity 1,\nan edge from node 2 to node 11 with capacity 15,\nan edge from node 3 to node 1 with capacity 15,\nan edge from node 3 to node 0 with capacity 8,\nan edge from node 3 to node 5 with capacity 5,\nan edge from node 3 to node 15 with capacity 1,\nan edge from node 3 to node 14 with capacity 14,\nan edge from node 3 to node 4 with capacity 9,\nan edge from node 3 to node 13 with capacity 11,\nan edge from node 4 to node 2 with capacity 1,\nan edge from node 4 to node 13 with capacity 10,\nan edge from node 4 to node 3 with capacity 11,\nan edge from node 5 to node 1 with capacity 20,\nan edge from node 5 to node 11 with capacity 8,\nan edge from node 5 to node 10 with capacity 11,\nan edge from node 6 to node 16 with capacity 19,\nan edge from node 6 to node 15 with capacity 15,\nan edge from node 6 to node 4 with capacity 15,\nan edge from node 6 to node 13 with capacity 1,\nan edge from node 7 to node 2 with capacity 20,\nan edge from node 7 to node 8 with capacity 8,\nan edge from node 7 to node 1 with capacity 5,\nan edge from node 7 to node 15 with capacity 8,\nan edge from node 7 to node 9 with capacity 14,\nan edge from node 8 to node 5 with capacity 13,\nan edge from node 8 to node 6 with capacity 4,\nan edge from node 8 to node 14 with capacity 17,\nan edge from node 8 to node 3 with capacity 12,\nan edge from node 8 to node 9 with capacity 18,\nan edge from node 9 to node 8 with capacity 16,\nan edge from node 9 to node 12 with capacity 11,\nan edge from node 9 to node 3 with capacity 18,\nan edge from node 10 to node 14 with capacity 18,\nan edge from node 10 to node 4 with capacity 7,\nan edge from node 10 to node 9 with capacity 16,\nan edge from node 11 to node 16 with capacity 11,\nan edge from node 11 to node 5 with capacity 1,\nan edge from node 11 to node 6 with capacity 6,\nan edge from node 11 to node 10 with capacity 15,\nan edge from node 12 to node 2 with capacity 10,\nan edge from node 12 to node 0 with capacity 15,\nan edge from node 12 to node 13 with capacity 19,\nan edge from node 12 to node 7 with capacity 10,\nan edge from node 12 to node 3 with capacity 4,\nan edge from node 13 to node 15 with capacity 5,\nan edge from node 13 to node 4 with capacity 5,\nan edge from node 14 to node 2 with capacity 11,\nan edge from node 14 to node 1 with capacity 4,\nan edge from node 14 to node 0 with capacity 15,\nan edge from node 14 to node 5 with capacity 18,\nan edge from node 14 to node 15 with capacity 17,\nan edge from node 14 to node 13 with capacity 7,\nan edge from node 15 to node 6 with capacity 13,\nan edge from node 15 to node 11 with capacity 16,\nan edge from node 15 to node 3 with capacity 16,\nan edge from node 16 to node 2 with capacity 6,\nan edge from node 16 to node 1 with capacity 10,\nan edge from node 16 to node 0 with capacity 13,\nan edge from node 16 to node 15 with capacity 9,\nan edge from node 16 to node 6 with capacity 10,\nan edge from node 16 to node 14 with capacity 20,\nan edge from node 16 to node 4 with capacity 18,\nan edge from node 16 to node 12 with capacity 5,\nan edge from node 16 to node 10 with capacity 13,\nan edge from node 16 to node 9 with capacity 5,\nWhat is the maximum flow from node 3 to node 10:"
            },
            {
                "from": "gpt",
                "value": "39."
            }
        ]
    },
    {
        "id": "flow-hard-graph492",
        "image": "data/flow/graph_visual/hard/graph492.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 8 with capacity 4,\nan edge from node 0 to node 6 with capacity 15,\nan edge from node 0 to node 11 with capacity 15,\nan edge from node 0 to node 3 with capacity 9,\nan edge from node 1 to node 5 with capacity 8,\nan edge from node 1 to node 0 with capacity 9,\nan edge from node 1 to node 7 with capacity 14,\nan edge from node 1 to node 14 with capacity 12,\nan edge from node 1 to node 12 with capacity 16,\nan edge from node 2 to node 6 with capacity 18,\nan edge from node 2 to node 10 with capacity 9,\nan edge from node 2 to node 9 with capacity 6,\nan edge from node 2 to node 7 with capacity 15,\nan edge from node 2 to node 3 with capacity 12,\nan edge from node 3 to node 11 with capacity 19,\nan edge from node 4 to node 8 with capacity 11,\nan edge from node 4 to node 11 with capacity 2,\nan edge from node 4 to node 9 with capacity 14,\nan edge from node 5 to node 4 with capacity 12,\nan edge from node 5 to node 2 with capacity 2,\nan edge from node 5 to node 9 with capacity 19,\nan edge from node 5 to node 12 with capacity 9,\nan edge from node 6 to node 13 with capacity 13,\nan edge from node 6 to node 10 with capacity 6,\nan edge from node 6 to node 9 with capacity 9,\nan edge from node 6 to node 3 with capacity 3,\nan edge from node 7 to node 5 with capacity 16,\nan edge from node 7 to node 6 with capacity 9,\nan edge from node 7 to node 11 with capacity 6,\nan edge from node 7 to node 3 with capacity 3,\nan edge from node 7 to node 14 with capacity 11,\nan edge from node 8 to node 5 with capacity 15,\nan edge from node 8 to node 11 with capacity 1,\nan edge from node 8 to node 3 with capacity 1,\nan edge from node 8 to node 14 with capacity 19,\nan edge from node 9 to node 8 with capacity 6,\nan edge from node 9 to node 6 with capacity 2,\nan edge from node 9 to node 11 with capacity 6,\nan edge from node 10 to node 13 with capacity 2,\nan edge from node 10 to node 2 with capacity 15,\nan edge from node 10 to node 12 with capacity 14,\nan edge from node 11 to node 9 with capacity 11,\nan edge from node 11 to node 12 with capacity 2,\nan edge from node 12 to node 8 with capacity 12,\nan edge from node 12 to node 1 with capacity 1,\nan edge from node 12 to node 10 with capacity 7,\nan edge from node 12 to node 2 with capacity 12,\nan edge from node 13 to node 0 with capacity 18,\nan edge from node 13 to node 9 with capacity 10,\nan edge from node 13 to node 7 with capacity 8,\nan edge from node 13 to node 3 with capacity 15,\nan edge from node 13 to node 14 with capacity 14,\nan edge from node 14 to node 5 with capacity 15,\nan edge from node 14 to node 13 with capacity 6,\nan edge from node 14 to node 3 with capacity 3,\nWhat is the maximum flow from node 7 to node 8:"
            },
            {
                "from": "gpt",
                "value": "33."
            }
        ]
    },
    {
        "id": "flow-hard-graph955",
        "image": "data/flow/graph_visual/hard/graph955.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 15 with capacity 7,\nan edge from node 0 to node 1 with capacity 19,\nan edge from node 1 to node 6 with capacity 11,\nan edge from node 1 to node 4 with capacity 19,\nan edge from node 2 to node 17 with capacity 6,\nan edge from node 2 to node 3 with capacity 4,\nan edge from node 2 to node 11 with capacity 18,\nan edge from node 2 to node 15 with capacity 19,\nan edge from node 4 to node 10 with capacity 8,\nan edge from node 4 to node 0 with capacity 17,\nan edge from node 4 to node 16 with capacity 16,\nan edge from node 5 to node 17 with capacity 16,\nan edge from node 5 to node 10 with capacity 16,\nan edge from node 5 to node 16 with capacity 15,\nan edge from node 5 to node 2 with capacity 12,\nan edge from node 6 to node 7 with capacity 13,\nan edge from node 6 to node 11 with capacity 6,\nan edge from node 6 to node 9 with capacity 16,\nan edge from node 6 to node 15 with capacity 19,\nan edge from node 6 to node 16 with capacity 16,\nan edge from node 7 to node 13 with capacity 16,\nan edge from node 7 to node 16 with capacity 20,\nan edge from node 8 to node 5 with capacity 13,\nan edge from node 8 to node 17 with capacity 5,\nan edge from node 8 to node 3 with capacity 1,\nan edge from node 9 to node 7 with capacity 12,\nan edge from node 9 to node 14 with capacity 11,\nan edge from node 9 to node 10 with capacity 16,\nan edge from node 9 to node 3 with capacity 10,\nan edge from node 9 to node 6 with capacity 5,\nan edge from node 9 to node 15 with capacity 9,\nan edge from node 9 to node 0 with capacity 10,\nan edge from node 10 to node 17 with capacity 16,\nan edge from node 10 to node 13 with capacity 14,\nan edge from node 10 to node 4 with capacity 1,\nan edge from node 10 to node 16 with capacity 19,\nan edge from node 10 to node 2 with capacity 13,\nan edge from node 11 to node 17 with capacity 19,\nan edge from node 11 to node 3 with capacity 19,\nan edge from node 11 to node 4 with capacity 10,\nan edge from node 11 to node 9 with capacity 18,\nan edge from node 12 to node 9 with capacity 4,\nan edge from node 13 to node 5 with capacity 4,\nan edge from node 13 to node 9 with capacity 7,\nan edge from node 13 to node 0 with capacity 16,\nan edge from node 14 to node 3 with capacity 19,\nan edge from node 14 to node 13 with capacity 20,\nan edge from node 14 to node 15 with capacity 6,\nan edge from node 14 to node 16 with capacity 2,\nan edge from node 15 to node 14 with capacity 1,\nan edge from node 15 to node 17 with capacity 18,\nan edge from node 15 to node 9 with capacity 1,\nan edge from node 15 to node 1 with capacity 10,\nan edge from node 16 to node 1 with capacity 11,\nan edge from node 17 to node 7 with capacity 11,\nan edge from node 17 to node 15 with capacity 6,\nan edge from node 17 to node 0 with capacity 18,\nan edge from node 17 to node 12 with capacity 4,\nWhat is the maximum flow from node 17 to node 5:"
            },
            {
                "from": "gpt",
                "value": "4."
            }
        ]
    },
    {
        "id": "flow-hard-graph504",
        "image": "data/flow/graph_visual/hard/graph504.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 4 with capacity 5,\nan edge from node 0 to node 11 with capacity 14,\nan edge from node 0 to node 5 with capacity 2,\nan edge from node 1 to node 8 with capacity 7,\nan edge from node 1 to node 3 with capacity 20,\nan edge from node 1 to node 13 with capacity 11,\nan edge from node 1 to node 7 with capacity 15,\nan edge from node 1 to node 12 with capacity 3,\nan edge from node 2 to node 4 with capacity 14,\nan edge from node 2 to node 1 with capacity 17,\nan edge from node 2 to node 9 with capacity 6,\nan edge from node 2 to node 13 with capacity 16,\nan edge from node 2 to node 10 with capacity 8,\nan edge from node 2 to node 6 with capacity 12,\nan edge from node 2 to node 11 with capacity 18,\nan edge from node 2 to node 7 with capacity 19,\nan edge from node 3 to node 1 with capacity 1,\nan edge from node 3 to node 13 with capacity 11,\nan edge from node 3 to node 10 with capacity 12,\nan edge from node 3 to node 0 with capacity 3,\nan edge from node 4 to node 8 with capacity 2,\nan edge from node 4 to node 2 with capacity 11,\nan edge from node 5 to node 7 with capacity 18,\nan edge from node 6 to node 10 with capacity 13,\nan edge from node 6 to node 0 with capacity 9,\nan edge from node 6 to node 5 with capacity 4,\nan edge from node 7 to node 13 with capacity 14,\nan edge from node 7 to node 12 with capacity 3,\nan edge from node 8 to node 9 with capacity 19,\nan edge from node 8 to node 5 with capacity 6,\nan edge from node 9 to node 4 with capacity 16,\nan edge from node 9 to node 2 with capacity 1,\nan edge from node 10 to node 5 with capacity 1,\nan edge from node 11 to node 3 with capacity 16,\nan edge from node 11 to node 9 with capacity 1,\nan edge from node 12 to node 14 with capacity 3,\nan edge from node 12 to node 8 with capacity 13,\nan edge from node 12 to node 3 with capacity 6,\nan edge from node 12 to node 13 with capacity 19,\nan edge from node 12 to node 0 with capacity 16,\nan edge from node 12 to node 7 with capacity 12,\nan edge from node 13 to node 3 with capacity 16,\nan edge from node 13 to node 2 with capacity 8,\nan edge from node 14 to node 8 with capacity 20,\nan edge from node 14 to node 9 with capacity 17,\nan edge from node 14 to node 10 with capacity 9,\nan edge from node 14 to node 7 with capacity 18,\nan edge from node 14 to node 12 with capacity 18,\nWhat is the maximum flow from node 4 to node 11:"
            },
            {
                "from": "gpt",
                "value": "13."
            }
        ]
    },
    {
        "id": "flow-hard-graph26",
        "image": "data/flow/graph_visual/hard/graph26.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 9 with capacity 4,\nan edge from node 0 to node 2 with capacity 3,\nan edge from node 0 to node 4 with capacity 14,\nan edge from node 1 to node 9 with capacity 10,\nan edge from node 1 to node 8 with capacity 13,\nan edge from node 2 to node 7 with capacity 13,\nan edge from node 2 to node 10 with capacity 12,\nan edge from node 2 to node 8 with capacity 1,\nan edge from node 2 to node 3 with capacity 6,\nan edge from node 3 to node 7 with capacity 14,\nan edge from node 3 to node 9 with capacity 9,\nan edge from node 3 to node 6 with capacity 13,\nan edge from node 4 to node 10 with capacity 8,\nan edge from node 4 to node 5 with capacity 12,\nan edge from node 5 to node 7 with capacity 3,\nan edge from node 5 to node 2 with capacity 7,\nan edge from node 5 to node 10 with capacity 2,\nan edge from node 5 to node 0 with capacity 15,\nan edge from node 6 to node 7 with capacity 17,\nan edge from node 6 to node 2 with capacity 18,\nan edge from node 6 to node 5 with capacity 5,\nan edge from node 6 to node 4 with capacity 13,\nan edge from node 6 to node 0 with capacity 10,\nan edge from node 6 to node 8 with capacity 8,\nan edge from node 7 to node 10 with capacity 7,\nan edge from node 7 to node 4 with capacity 1,\nan edge from node 7 to node 1 with capacity 2,\nan edge from node 7 to node 8 with capacity 3,\nan edge from node 8 to node 2 with capacity 18,\nan edge from node 8 to node 4 with capacity 4,\nan edge from node 8 to node 6 with capacity 16,\nan edge from node 8 to node 3 with capacity 11,\nan edge from node 9 to node 7 with capacity 20,\nan edge from node 9 to node 5 with capacity 7,\nan edge from node 9 to node 6 with capacity 19,\nan edge from node 9 to node 8 with capacity 12,\nan edge from node 9 to node 3 with capacity 6,\nan edge from node 10 to node 0 with capacity 20,\nan edge from node 10 to node 1 with capacity 19,\nWhat is the maximum flow from node 8 to node 4:"
            },
            {
                "from": "gpt",
                "value": "32."
            }
        ]
    },
    {
        "id": "flow-hard-graph307",
        "image": "data/flow/graph_visual/hard/graph307.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 8 with capacity 9,\nan edge from node 0 to node 12 with capacity 13,\nan edge from node 1 to node 3 with capacity 11,\nan edge from node 2 to node 0 with capacity 10,\nan edge from node 2 to node 3 with capacity 6,\nan edge from node 3 to node 10 with capacity 12,\nan edge from node 4 to node 9 with capacity 14,\nan edge from node 4 to node 0 with capacity 18,\nan edge from node 4 to node 8 with capacity 7,\nan edge from node 4 to node 2 with capacity 13,\nan edge from node 5 to node 11 with capacity 13,\nan edge from node 5 to node 10 with capacity 12,\nan edge from node 5 to node 7 with capacity 11,\nan edge from node 6 to node 11 with capacity 11,\nan edge from node 6 to node 9 with capacity 19,\nan edge from node 6 to node 5 with capacity 18,\nan edge from node 7 to node 0 with capacity 5,\nan edge from node 8 to node 11 with capacity 4,\nan edge from node 8 to node 9 with capacity 6,\nan edge from node 8 to node 0 with capacity 3,\nan edge from node 8 to node 1 with capacity 6,\nan edge from node 8 to node 10 with capacity 16,\nan edge from node 8 to node 6 with capacity 10,\nan edge from node 9 to node 0 with capacity 8,\nan edge from node 9 to node 4 with capacity 20,\nan edge from node 9 to node 6 with capacity 5,\nan edge from node 9 to node 12 with capacity 3,\nan edge from node 10 to node 9 with capacity 14,\nan edge from node 10 to node 0 with capacity 2,\nan edge from node 10 to node 3 with capacity 7,\nan edge from node 11 to node 1 with capacity 12,\nan edge from node 11 to node 8 with capacity 18,\nan edge from node 11 to node 2 with capacity 19,\nan edge from node 11 to node 12 with capacity 5,\nan edge from node 11 to node 7 with capacity 19,\nan edge from node 12 to node 2 with capacity 1,\nWhat is the maximum flow from node 9 to node 10:"
            },
            {
                "from": "gpt",
                "value": "27."
            }
        ]
    },
    {
        "id": "flow-hard-graph55",
        "image": "data/flow/graph_visual/hard/graph55.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 8 with capacity 5,\nan edge from node 1 to node 9 with capacity 17,\nan edge from node 1 to node 10 with capacity 3,\nan edge from node 1 to node 2 with capacity 15,\nan edge from node 1 to node 4 with capacity 4,\nan edge from node 1 to node 7 with capacity 6,\nan edge from node 2 to node 6 with capacity 2,\nan edge from node 3 to node 10 with capacity 14,\nan edge from node 3 to node 6 with capacity 8,\nan edge from node 5 to node 9 with capacity 13,\nan edge from node 5 to node 1 with capacity 20,\nan edge from node 5 to node 3 with capacity 16,\nan edge from node 6 to node 2 with capacity 6,\nan edge from node 6 to node 7 with capacity 12,\nan edge from node 7 to node 2 with capacity 15,\nan edge from node 7 to node 6 with capacity 17,\nan edge from node 8 to node 10 with capacity 18,\nan edge from node 8 to node 4 with capacity 6,\nan edge from node 8 to node 7 with capacity 10,\nan edge from node 9 to node 4 with capacity 15,\nan edge from node 9 to node 6 with capacity 10,\nan edge from node 9 to node 7 with capacity 13,\nan edge from node 9 to node 8 with capacity 2,\nan edge from node 10 to node 9 with capacity 16,\nan edge from node 10 to node 5 with capacity 19,\nan edge from node 10 to node 0 with capacity 20,\nWhat is the maximum flow from node 8 to node 2:"
            },
            {
                "from": "gpt",
                "value": "28."
            }
        ]
    },
    {
        "id": "flow-hard-graph560",
        "image": "data/flow/graph_visual/hard/graph560.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 8 with capacity 2,\nan edge from node 0 to node 2 with capacity 7,\nan edge from node 0 to node 4 with capacity 5,\nan edge from node 1 to node 13 with capacity 13,\nan edge from node 1 to node 8 with capacity 14,\nan edge from node 1 to node 7 with capacity 17,\nan edge from node 1 to node 5 with capacity 13,\nan edge from node 1 to node 2 with capacity 2,\nan edge from node 1 to node 10 with capacity 20,\nan edge from node 1 to node 6 with capacity 13,\nan edge from node 2 to node 3 with capacity 4,\nan edge from node 2 to node 9 with capacity 10,\nan edge from node 2 to node 10 with capacity 1,\nan edge from node 2 to node 6 with capacity 4,\nan edge from node 3 to node 13 with capacity 20,\nan edge from node 3 to node 7 with capacity 20,\nan edge from node 3 to node 1 with capacity 2,\nan edge from node 3 to node 4 with capacity 16,\nan edge from node 4 to node 0 with capacity 10,\nan edge from node 4 to node 8 with capacity 5,\nan edge from node 4 to node 9 with capacity 14,\nan edge from node 4 to node 10 with capacity 19,\nan edge from node 5 to node 8 with capacity 18,\nan edge from node 5 to node 9 with capacity 17,\nan edge from node 5 to node 10 with capacity 17,\nan edge from node 5 to node 14 with capacity 18,\nan edge from node 6 to node 13 with capacity 4,\nan edge from node 6 to node 8 with capacity 18,\nan edge from node 6 to node 7 with capacity 13,\nan edge from node 6 to node 12 with capacity 1,\nan edge from node 6 to node 3 with capacity 5,\nan edge from node 6 to node 11 with capacity 18,\nan edge from node 6 to node 9 with capacity 20,\nan edge from node 6 to node 2 with capacity 1,\nan edge from node 7 to node 8 with capacity 14,\nan edge from node 7 to node 1 with capacity 20,\nan edge from node 8 to node 5 with capacity 19,\nan edge from node 8 to node 11 with capacity 7,\nan edge from node 8 to node 9 with capacity 1,\nan edge from node 8 to node 10 with capacity 7,\nan edge from node 8 to node 6 with capacity 19,\nan edge from node 9 to node 1 with capacity 11,\nan edge from node 9 to node 2 with capacity 11,\nan edge from node 9 to node 14 with capacity 11,\nan edge from node 10 to node 14 with capacity 8,\nan edge from node 10 to node 6 with capacity 15,\nan edge from node 11 to node 7 with capacity 14,\nan edge from node 11 to node 12 with capacity 7,\nan edge from node 11 to node 1 with capacity 6,\nan edge from node 11 to node 3 with capacity 14,\nan edge from node 12 to node 13 with capacity 19,\nan edge from node 12 to node 6 with capacity 13,\nan edge from node 13 to node 12 with capacity 9,\nan edge from node 13 to node 3 with capacity 7,\nan edge from node 13 to node 2 with capacity 9,\nan edge from node 13 to node 10 with capacity 20,\nan edge from node 14 to node 8 with capacity 15,\nan edge from node 14 to node 7 with capacity 5,\nan edge from node 14 to node 12 with capacity 17,\nan edge from node 14 to node 2 with capacity 1,\nWhat is the maximum flow from node 3 to node 10:"
            },
            {
                "from": "gpt",
                "value": "58."
            }
        ]
    },
    {
        "id": "flow-hard-graph732",
        "image": "data/flow/graph_visual/hard/graph732.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 4 with capacity 18,\nan edge from node 0 to node 3 with capacity 4,\nan edge from node 1 to node 0 with capacity 1,\nan edge from node 1 to node 7 with capacity 5,\nan edge from node 2 to node 15 with capacity 4,\nan edge from node 2 to node 0 with capacity 15,\nan edge from node 2 to node 12 with capacity 8,\nan edge from node 2 to node 5 with capacity 6,\nan edge from node 2 to node 8 with capacity 13,\nan edge from node 2 to node 7 with capacity 11,\nan edge from node 3 to node 4 with capacity 6,\nan edge from node 3 to node 15 with capacity 14,\nan edge from node 3 to node 5 with capacity 17,\nan edge from node 3 to node 8 with capacity 9,\nan edge from node 3 to node 11 with capacity 8,\nan edge from node 4 to node 14 with capacity 19,\nan edge from node 4 to node 12 with capacity 5,\nan edge from node 4 to node 5 with capacity 17,\nan edge from node 4 to node 6 with capacity 2,\nan edge from node 5 to node 0 with capacity 6,\nan edge from node 5 to node 12 with capacity 5,\nan edge from node 5 to node 1 with capacity 8,\nan edge from node 5 to node 7 with capacity 18,\nan edge from node 5 to node 6 with capacity 16,\nan edge from node 6 to node 3 with capacity 15,\nan edge from node 6 to node 0 with capacity 6,\nan edge from node 7 to node 4 with capacity 1,\nan edge from node 7 to node 13 with capacity 15,\nan edge from node 7 to node 0 with capacity 8,\nan edge from node 7 to node 16 with capacity 20,\nan edge from node 7 to node 12 with capacity 18,\nan edge from node 7 to node 8 with capacity 16,\nan edge from node 8 to node 4 with capacity 3,\nan edge from node 8 to node 2 with capacity 18,\nan edge from node 8 to node 10 with capacity 7,\nan edge from node 8 to node 16 with capacity 5,\nan edge from node 8 to node 6 with capacity 10,\nan edge from node 9 to node 3 with capacity 3,\nan edge from node 9 to node 10 with capacity 7,\nan edge from node 9 to node 14 with capacity 8,\nan edge from node 9 to node 7 with capacity 9,\nan edge from node 9 to node 6 with capacity 10,\nan edge from node 10 to node 15 with capacity 15,\nan edge from node 10 to node 16 with capacity 3,\nan edge from node 10 to node 1 with capacity 6,\nan edge from node 10 to node 6 with capacity 14,\nan edge from node 10 to node 11 with capacity 11,\nan edge from node 11 to node 4 with capacity 2,\nan edge from node 11 to node 10 with capacity 12,\nan edge from node 11 to node 7 with capacity 17,\nan edge from node 12 to node 2 with capacity 14,\nan edge from node 12 to node 13 with capacity 11,\nan edge from node 12 to node 10 with capacity 3,\nan edge from node 12 to node 1 with capacity 7,\nan edge from node 12 to node 6 with capacity 4,\nan edge from node 13 to node 4 with capacity 6,\nan edge from node 13 to node 8 with capacity 5,\nan edge from node 13 to node 7 with capacity 15,\nan edge from node 14 to node 10 with capacity 16,\nan edge from node 14 to node 8 with capacity 3,\nan edge from node 14 to node 6 with capacity 19,\nan edge from node 14 to node 11 with capacity 15,\nan edge from node 15 to node 13 with capacity 10,\nan edge from node 15 to node 0 with capacity 18,\nan edge from node 15 to node 10 with capacity 9,\nan edge from node 15 to node 8 with capacity 14,\nan edge from node 15 to node 9 with capacity 20,\nan edge from node 16 to node 5 with capacity 5,\nan edge from node 16 to node 9 with capacity 12,\nWhat is the maximum flow from node 8 to node 7:"
            },
            {
                "from": "gpt",
                "value": "43."
            }
        ]
    },
    {
        "id": "flow-hard-graph1134",
        "image": "data/flow/graph_visual/hard/graph1134.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 16 with capacity 12,\nan edge from node 0 to node 9 with capacity 7,\nan edge from node 0 to node 3 with capacity 8,\nan edge from node 0 to node 1 with capacity 15,\nan edge from node 0 to node 11 with capacity 17,\nan edge from node 1 to node 6 with capacity 19,\nan edge from node 2 to node 0 with capacity 1,\nan edge from node 2 to node 17 with capacity 12,\nan edge from node 2 to node 19 with capacity 6,\nan edge from node 2 to node 11 with capacity 10,\nan edge from node 3 to node 5 with capacity 18,\nan edge from node 3 to node 9 with capacity 17,\nan edge from node 3 to node 6 with capacity 13,\nan edge from node 3 to node 12 with capacity 15,\nan edge from node 3 to node 11 with capacity 3,\nan edge from node 4 to node 16 with capacity 20,\nan edge from node 4 to node 9 with capacity 4,\nan edge from node 4 to node 18 with capacity 4,\nan edge from node 4 to node 12 with capacity 10,\nan edge from node 5 to node 16 with capacity 8,\nan edge from node 5 to node 3 with capacity 7,\nan edge from node 5 to node 4 with capacity 1,\nan edge from node 6 to node 5 with capacity 1,\nan edge from node 6 to node 10 with capacity 20,\nan edge from node 6 to node 7 with capacity 8,\nan edge from node 6 to node 12 with capacity 4,\nan edge from node 6 to node 1 with capacity 15,\nan edge from node 6 to node 11 with capacity 16,\nan edge from node 7 to node 15 with capacity 19,\nan edge from node 7 to node 6 with capacity 9,\nan edge from node 7 to node 12 with capacity 3,\nan edge from node 8 to node 2 with capacity 3,\nan edge from node 8 to node 0 with capacity 15,\nan edge from node 8 to node 6 with capacity 17,\nan edge from node 8 to node 3 with capacity 1,\nan edge from node 8 to node 4 with capacity 4,\nan edge from node 8 to node 12 with capacity 18,\nan edge from node 8 to node 11 with capacity 10,\nan edge from node 9 to node 2 with capacity 16,\nan edge from node 9 to node 4 with capacity 8,\nan edge from node 9 to node 18 with capacity 15,\nan edge from node 9 to node 19 with capacity 20,\nan edge from node 9 to node 11 with capacity 8,\nan edge from node 10 to node 5 with capacity 13,\nan edge from node 10 to node 15 with capacity 4,\nan edge from node 10 to node 14 with capacity 11,\nan edge from node 10 to node 8 with capacity 18,\nan edge from node 10 to node 4 with capacity 8,\nan edge from node 10 to node 18 with capacity 7,\nan edge from node 10 to node 1 with capacity 17,\nan edge from node 10 to node 11 with capacity 8,\nan edge from node 11 to node 5 with capacity 6,\nan edge from node 11 to node 10 with capacity 13,\nan edge from node 12 to node 0 with capacity 5,\nan edge from node 12 to node 17 with capacity 8,\nan edge from node 12 to node 16 with capacity 20,\nan edge from node 12 to node 10 with capacity 3,\nan edge from node 12 to node 1 with capacity 6,\nan edge from node 13 to node 2 with capacity 19,\nan edge from node 13 to node 5 with capacity 20,\nan edge from node 13 to node 16 with capacity 14,\nan edge from node 13 to node 10 with capacity 6,\nan edge from node 13 to node 19 with capacity 20,\nan edge from node 14 to node 2 with capacity 20,\nan edge from node 14 to node 5 with capacity 4,\nan edge from node 14 to node 8 with capacity 10,\nan edge from node 14 to node 6 with capacity 6,\nan edge from node 14 to node 7 with capacity 14,\nan edge from node 14 to node 19 with capacity 12,\nan edge from node 14 to node 12 with capacity 18,\nan edge from node 14 to node 11 with capacity 1,\nan edge from node 15 to node 17 with capacity 18,\nan edge from node 15 to node 16 with capacity 3,\nan edge from node 15 to node 10 with capacity 11,\nan edge from node 15 to node 6 with capacity 5,\nan edge from node 15 to node 3 with capacity 6,\nan edge from node 15 to node 7 with capacity 7,\nan edge from node 16 to node 17 with capacity 2,\nan edge from node 16 to node 18 with capacity 9,\nan edge from node 16 to node 19 with capacity 3,\nan edge from node 17 to node 15 with capacity 15,\nan edge from node 17 to node 10 with capacity 19,\nan edge from node 17 to node 6 with capacity 4,\nan edge from node 17 to node 12 with capacity 13,\nan edge from node 17 to node 1 with capacity 3,\nan edge from node 18 to node 4 with capacity 19,\nan edge from node 19 to node 2 with capacity 2,\nan edge from node 19 to node 9 with capacity 1,\nan edge from node 19 to node 4 with capacity 5,\nWhat is the maximum flow from node 15 to node 9:"
            },
            {
                "from": "gpt",
                "value": "29."
            }
        ]
    },
    {
        "id": "flow-hard-graph1087",
        "image": "data/flow/graph_visual/hard/graph1087.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 14 with capacity 11,\nan edge from node 0 to node 8 with capacity 18,\nan edge from node 0 to node 10 with capacity 1,\nan edge from node 0 to node 18 with capacity 18,\nan edge from node 0 to node 2 with capacity 19,\nan edge from node 1 to node 11 with capacity 7,\nan edge from node 1 to node 14 with capacity 16,\nan edge from node 1 to node 17 with capacity 14,\nan edge from node 1 to node 9 with capacity 16,\nan edge from node 1 to node 0 with capacity 5,\nan edge from node 1 to node 3 with capacity 4,\nan edge from node 1 to node 15 with capacity 5,\nan edge from node 1 to node 13 with capacity 14,\nan edge from node 2 to node 5 with capacity 17,\nan edge from node 2 to node 14 with capacity 18,\nan edge from node 2 to node 17 with capacity 19,\nan edge from node 2 to node 15 with capacity 18,\nan edge from node 2 to node 18 with capacity 8,\nan edge from node 2 to node 19 with capacity 17,\nan edge from node 2 to node 4 with capacity 4,\nan edge from node 2 to node 1 with capacity 15,\nan edge from node 2 to node 13 with capacity 19,\nan edge from node 3 to node 5 with capacity 1,\nan edge from node 3 to node 7 with capacity 10,\nan edge from node 4 to node 5 with capacity 17,\nan edge from node 4 to node 17 with capacity 13,\nan edge from node 5 to node 12 with capacity 18,\nan edge from node 5 to node 16 with capacity 19,\nan edge from node 5 to node 0 with capacity 10,\nan edge from node 5 to node 8 with capacity 1,\nan edge from node 5 to node 19 with capacity 18,\nan edge from node 5 to node 1 with capacity 12,\nan edge from node 6 to node 11 with capacity 7,\nan edge from node 6 to node 0 with capacity 8,\nan edge from node 6 to node 15 with capacity 6,\nan edge from node 6 to node 18 with capacity 3,\nan edge from node 6 to node 2 with capacity 8,\nan edge from node 6 to node 7 with capacity 17,\nan edge from node 7 to node 5 with capacity 2,\nan edge from node 7 to node 16 with capacity 14,\nan edge from node 7 to node 17 with capacity 7,\nan edge from node 7 to node 9 with capacity 5,\nan edge from node 7 to node 0 with capacity 9,\nan edge from node 7 to node 3 with capacity 16,\nan edge from node 7 to node 15 with capacity 12,\nan edge from node 7 to node 2 with capacity 11,\nan edge from node 7 to node 1 with capacity 10,\nan edge from node 7 to node 13 with capacity 5,\nan edge from node 8 to node 12 with capacity 5,\nan edge from node 8 to node 16 with capacity 10,\nan edge from node 8 to node 0 with capacity 14,\nan edge from node 8 to node 18 with capacity 16,\nan edge from node 8 to node 4 with capacity 13,\nan edge from node 9 to node 12 with capacity 6,\nan edge from node 9 to node 17 with capacity 11,\nan edge from node 9 to node 19 with capacity 1,\nan edge from node 9 to node 7 with capacity 4,\nan edge from node 10 to node 9 with capacity 13,\nan edge from node 10 to node 3 with capacity 1,\nan edge from node 10 to node 8 with capacity 5,\nan edge from node 10 to node 6 with capacity 2,\nan edge from node 11 to node 5 with capacity 7,\nan edge from node 11 to node 17 with capacity 3,\nan edge from node 11 to node 9 with capacity 11,\nan edge from node 11 to node 15 with capacity 4,\nan edge from node 11 to node 18 with capacity 15,\nan edge from node 11 to node 4 with capacity 18,\nan edge from node 12 to node 11 with capacity 8,\nan edge from node 12 to node 5 with capacity 5,\nan edge from node 12 to node 0 with capacity 2,\nan edge from node 12 to node 18 with capacity 8,\nan edge from node 12 to node 19 with capacity 14,\nan edge from node 12 to node 13 with capacity 5,\nan edge from node 13 to node 5 with capacity 13,\nan edge from node 13 to node 10 with capacity 16,\nan edge from node 13 to node 15 with capacity 4,\nan edge from node 13 to node 4 with capacity 17,\nan edge from node 14 to node 11 with capacity 20,\nan edge from node 14 to node 12 with capacity 18,\nan edge from node 14 to node 10 with capacity 14,\nan edge from node 14 to node 15 with capacity 1,\nan edge from node 14 to node 4 with capacity 3,\nan edge from node 15 to node 16 with capacity 9,\nan edge from node 15 to node 10 with capacity 10,\nan edge from node 15 to node 18 with capacity 3,\nan edge from node 15 to node 2 with capacity 12,\nan edge from node 16 to node 11 with capacity 14,\nan edge from node 16 to node 5 with capacity 12,\nan edge from node 16 to node 12 with capacity 12,\nan edge from node 16 to node 6 with capacity 19,\nan edge from node 16 to node 19 with capacity 8,\nan edge from node 16 to node 4 with capacity 13,\nan edge from node 17 to node 11 with capacity 4,\nan edge from node 17 to node 12 with capacity 18,\nan edge from node 17 to node 19 with capacity 13,\nan edge from node 17 to node 13 with capacity 19,\nan edge from node 18 to node 14 with capacity 2,\nan edge from node 18 to node 12 with capacity 13,\nan edge from node 18 to node 17 with capacity 4,\nan edge from node 18 to node 1 with capacity 6,\nan edge from node 18 to node 13 with capacity 5,\nan edge from node 19 to node 12 with capacity 12,\nan edge from node 19 to node 3 with capacity 5,\nan edge from node 19 to node 15 with capacity 12,\nan edge from node 19 to node 6 with capacity 6,\nan edge from node 19 to node 7 with capacity 5,\nan edge from node 19 to node 13 with capacity 7,\nWhat is the maximum flow from node 11 to node 16:"
            },
            {
                "from": "gpt",
                "value": "52."
            }
        ]
    },
    {
        "id": "flow-hard-graph484",
        "image": "data/flow/graph_visual/hard/graph484.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 14 with capacity 19,\nan edge from node 0 to node 1 with capacity 19,\nan edge from node 1 to node 14 with capacity 18,\nan edge from node 1 to node 5 with capacity 2,\nan edge from node 1 to node 13 with capacity 7,\nan edge from node 2 to node 0 with capacity 3,\nan edge from node 2 to node 3 with capacity 10,\nan edge from node 2 to node 12 with capacity 8,\nan edge from node 2 to node 1 with capacity 20,\nan edge from node 3 to node 6 with capacity 12,\nan edge from node 3 to node 9 with capacity 10,\nan edge from node 3 to node 8 with capacity 18,\nan edge from node 3 to node 4 with capacity 7,\nan edge from node 4 to node 6 with capacity 2,\nan edge from node 4 to node 0 with capacity 3,\nan edge from node 4 to node 9 with capacity 9,\nan edge from node 4 to node 3 with capacity 13,\nan edge from node 4 to node 12 with capacity 10,\nan edge from node 4 to node 13 with capacity 18,\nan edge from node 5 to node 6 with capacity 8,\nan edge from node 5 to node 9 with capacity 3,\nan edge from node 5 to node 13 with capacity 14,\nan edge from node 6 to node 10 with capacity 8,\nan edge from node 6 to node 5 with capacity 11,\nan edge from node 6 to node 2 with capacity 1,\nan edge from node 6 to node 13 with capacity 5,\nan edge from node 8 to node 0 with capacity 7,\nan edge from node 8 to node 14 with capacity 13,\nan edge from node 8 to node 13 with capacity 2,\nan edge from node 9 to node 0 with capacity 5,\nan edge from node 9 to node 13 with capacity 12,\nan edge from node 9 to node 4 with capacity 15,\nan edge from node 10 to node 5 with capacity 16,\nan edge from node 11 to node 0 with capacity 7,\nan edge from node 11 to node 12 with capacity 9,\nan edge from node 11 to node 13 with capacity 19,\nan edge from node 11 to node 4 with capacity 14,\nan edge from node 12 to node 3 with capacity 19,\nan edge from node 12 to node 7 with capacity 4,\nan edge from node 13 to node 10 with capacity 17,\nan edge from node 13 to node 14 with capacity 6,\nan edge from node 13 to node 4 with capacity 1,\nWhat is the maximum flow from node 11 to node 2:"
            },
            {
                "from": "gpt",
                "value": "1."
            }
        ]
    },
    {
        "id": "flow-hard-graph73",
        "image": "data/flow/graph_visual/hard/graph73.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 8 with capacity 11,\nan edge from node 1 to node 3 with capacity 7,\nan edge from node 1 to node 10 with capacity 11,\nan edge from node 2 to node 3 with capacity 11,\nan edge from node 2 to node 9 with capacity 6,\nan edge from node 2 to node 5 with capacity 1,\nan edge from node 2 to node 8 with capacity 9,\nan edge from node 3 to node 9 with capacity 18,\nan edge from node 3 to node 5 with capacity 18,\nan edge from node 3 to node 1 with capacity 1,\nan edge from node 4 to node 3 with capacity 13,\nan edge from node 4 to node 5 with capacity 13,\nan edge from node 4 to node 0 with capacity 15,\nan edge from node 4 to node 8 with capacity 7,\nan edge from node 5 to node 3 with capacity 7,\nan edge from node 5 to node 1 with capacity 17,\nan edge from node 5 to node 0 with capacity 16,\nan edge from node 6 to node 3 with capacity 14,\nan edge from node 7 to node 4 with capacity 17,\nan edge from node 7 to node 0 with capacity 20,\nan edge from node 7 to node 8 with capacity 15,\nan edge from node 8 to node 1 with capacity 7,\nan edge from node 8 to node 6 with capacity 20,\nan edge from node 9 to node 3 with capacity 20,\nan edge from node 9 to node 7 with capacity 8,\nan edge from node 10 to node 9 with capacity 19,\nan edge from node 10 to node 5 with capacity 5,\nan edge from node 10 to node 1 with capacity 11,\nan edge from node 10 to node 4 with capacity 19,\nWhat is the maximum flow from node 1 to node 5:"
            },
            {
                "from": "gpt",
                "value": "18."
            }
        ]
    },
    {
        "id": "flow-hard-graph1094",
        "image": "data/flow/graph_visual/hard/graph1094.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 7 with capacity 12,\nan edge from node 0 to node 18 with capacity 17,\nan edge from node 0 to node 8 with capacity 10,\nan edge from node 0 to node 15 with capacity 5,\nan edge from node 0 to node 2 with capacity 17,\nan edge from node 0 to node 14 with capacity 4,\nan edge from node 1 to node 7 with capacity 2,\nan edge from node 1 to node 10 with capacity 7,\nan edge from node 1 to node 18 with capacity 7,\nan edge from node 1 to node 15 with capacity 9,\nan edge from node 1 to node 14 with capacity 4,\nan edge from node 2 to node 9 with capacity 18,\nan edge from node 2 to node 7 with capacity 16,\nan edge from node 2 to node 0 with capacity 13,\nan edge from node 2 to node 18 with capacity 1,\nan edge from node 3 to node 19 with capacity 9,\nan edge from node 3 to node 8 with capacity 20,\nan edge from node 4 to node 0 with capacity 2,\nan edge from node 4 to node 15 with capacity 9,\nan edge from node 4 to node 14 with capacity 11,\nan edge from node 5 to node 12 with capacity 1,\nan edge from node 5 to node 19 with capacity 14,\nan edge from node 5 to node 2 with capacity 20,\nan edge from node 6 to node 3 with capacity 4,\nan edge from node 6 to node 7 with capacity 2,\nan edge from node 6 to node 12 with capacity 3,\nan edge from node 6 to node 19 with capacity 15,\nan edge from node 6 to node 10 with capacity 11,\nan edge from node 6 to node 4 with capacity 4,\nan edge from node 6 to node 14 with capacity 20,\nan edge from node 7 to node 19 with capacity 18,\nan edge from node 7 to node 0 with capacity 1,\nan edge from node 7 to node 5 with capacity 6,\nan edge from node 7 to node 2 with capacity 1,\nan edge from node 8 to node 7 with capacity 7,\nan edge from node 8 to node 12 with capacity 19,\nan edge from node 8 to node 6 with capacity 4,\nan edge from node 8 to node 10 with capacity 10,\nan edge from node 8 to node 0 with capacity 4,\nan edge from node 8 to node 5 with capacity 2,\nan edge from node 8 to node 1 with capacity 9,\nan edge from node 8 to node 14 with capacity 11,\nan edge from node 9 to node 3 with capacity 1,\nan edge from node 9 to node 19 with capacity 7,\nan edge from node 9 to node 1 with capacity 5,\nan edge from node 9 to node 14 with capacity 1,\nan edge from node 10 to node 19 with capacity 4,\nan edge from node 10 to node 6 with capacity 6,\nan edge from node 10 to node 5 with capacity 15,\nan edge from node 10 to node 15 with capacity 11,\nan edge from node 10 to node 13 with capacity 17,\nan edge from node 10 to node 11 with capacity 5,\nan edge from node 11 to node 3 with capacity 18,\nan edge from node 11 to node 7 with capacity 19,\nan edge from node 11 to node 19 with capacity 8,\nan edge from node 11 to node 18 with capacity 4,\nan edge from node 11 to node 8 with capacity 19,\nan edge from node 11 to node 5 with capacity 3,\nan edge from node 11 to node 13 with capacity 13,\nan edge from node 11 to node 14 with capacity 11,\nan edge from node 12 to node 7 with capacity 4,\nan edge from node 12 to node 19 with capacity 3,\nan edge from node 12 to node 16 with capacity 17,\nan edge from node 12 to node 17 with capacity 13,\nan edge from node 13 to node 12 with capacity 17,\nan edge from node 13 to node 10 with capacity 16,\nan edge from node 13 to node 18 with capacity 15,\nan edge from node 13 to node 15 with capacity 3,\nan edge from node 13 to node 2 with capacity 6,\nan edge from node 13 to node 16 with capacity 6,\nan edge from node 13 to node 14 with capacity 1,\nan edge from node 14 to node 12 with capacity 11,\nan edge from node 14 to node 6 with capacity 6,\nan edge from node 14 to node 0 with capacity 9,\nan edge from node 14 to node 2 with capacity 11,\nan edge from node 14 to node 4 with capacity 3,\nan edge from node 14 to node 17 with capacity 18,\nan edge from node 15 to node 6 with capacity 5,\nan edge from node 15 to node 11 with capacity 2,\nan edge from node 15 to node 14 with capacity 1,\nan edge from node 16 to node 10 with capacity 4,\nan edge from node 16 to node 18 with capacity 16,\nan edge from node 16 to node 15 with capacity 16,\nan edge from node 16 to node 14 with capacity 8,\nan edge from node 17 to node 9 with capacity 3,\nan edge from node 17 to node 10 with capacity 8,\nan edge from node 17 to node 0 with capacity 18,\nan edge from node 17 to node 18 with capacity 4,\nan edge from node 17 to node 5 with capacity 20,\nan edge from node 17 to node 15 with capacity 4,\nan edge from node 17 to node 1 with capacity 16,\nan edge from node 17 to node 11 with capacity 3,\nan edge from node 17 to node 14 with capacity 6,\nan edge from node 18 to node 9 with capacity 15,\nan edge from node 18 to node 3 with capacity 17,\nan edge from node 18 to node 10 with capacity 12,\nan edge from node 18 to node 8 with capacity 15,\nan edge from node 19 to node 3 with capacity 13,\nan edge from node 19 to node 2 with capacity 14,\nan edge from node 19 to node 11 with capacity 14,\nWhat is the maximum flow from node 16 to node 10:"
            },
            {
                "from": "gpt",
                "value": "36."
            }
        ]
    },
    {
        "id": "flow-hard-graph1136",
        "image": "data/flow/graph_visual/hard/graph1136.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 19 with capacity 14,\nan edge from node 0 to node 3 with capacity 17,\nan edge from node 0 to node 18 with capacity 9,\nan edge from node 0 to node 16 with capacity 1,\nan edge from node 0 to node 7 with capacity 1,\nan edge from node 0 to node 11 with capacity 20,\nan edge from node 0 to node 15 with capacity 14,\nan edge from node 1 to node 19 with capacity 20,\nan edge from node 1 to node 16 with capacity 10,\nan edge from node 1 to node 10 with capacity 13,\nan edge from node 2 to node 6 with capacity 12,\nan edge from node 2 to node 7 with capacity 3,\nan edge from node 2 to node 17 with capacity 4,\nan edge from node 2 to node 1 with capacity 7,\nan edge from node 2 to node 15 with capacity 7,\nan edge from node 2 to node 5 with capacity 14,\nan edge from node 3 to node 19 with capacity 13,\nan edge from node 3 to node 18 with capacity 11,\nan edge from node 3 to node 17 with capacity 18,\nan edge from node 3 to node 11 with capacity 19,\nan edge from node 3 to node 5 with capacity 17,\nan edge from node 4 to node 3 with capacity 17,\nan edge from node 4 to node 13 with capacity 13,\nan edge from node 4 to node 0 with capacity 18,\nan edge from node 4 to node 9 with capacity 6,\nan edge from node 5 to node 12 with capacity 5,\nan edge from node 5 to node 17 with capacity 1,\nan edge from node 5 to node 11 with capacity 17,\nan edge from node 6 to node 18 with capacity 13,\nan edge from node 6 to node 0 with capacity 15,\nan edge from node 6 to node 10 with capacity 20,\nan edge from node 6 to node 1 with capacity 12,\nan edge from node 6 to node 4 with capacity 4,\nan edge from node 7 to node 18 with capacity 19,\nan edge from node 7 to node 2 with capacity 13,\nan edge from node 7 to node 17 with capacity 15,\nan edge from node 7 to node 0 with capacity 15,\nan edge from node 7 to node 10 with capacity 18,\nan edge from node 8 to node 6 with capacity 6,\nan edge from node 8 to node 14 with capacity 11,\nan edge from node 8 to node 18 with capacity 17,\nan edge from node 8 to node 10 with capacity 5,\nan edge from node 9 to node 19 with capacity 20,\nan edge from node 9 to node 6 with capacity 12,\nan edge from node 9 to node 18 with capacity 7,\nan edge from node 9 to node 17 with capacity 17,\nan edge from node 10 to node 12 with capacity 13,\nan edge from node 10 to node 18 with capacity 1,\nan edge from node 10 to node 16 with capacity 5,\nan edge from node 10 to node 7 with capacity 14,\nan edge from node 10 to node 9 with capacity 13,\nan edge from node 10 to node 1 with capacity 16,\nan edge from node 10 to node 5 with capacity 14,\nan edge from node 11 to node 12 with capacity 16,\nan edge from node 11 to node 13 with capacity 12,\nan edge from node 11 to node 18 with capacity 3,\nan edge from node 11 to node 7 with capacity 8,\nan edge from node 12 to node 2 with capacity 16,\nan edge from node 12 to node 16 with capacity 18,\nan edge from node 12 to node 9 with capacity 20,\nan edge from node 12 to node 10 with capacity 10,\nan edge from node 12 to node 8 with capacity 19,\nan edge from node 14 to node 3 with capacity 14,\nan edge from node 14 to node 12 with capacity 1,\nan edge from node 14 to node 11 with capacity 1,\nan edge from node 15 to node 19 with capacity 19,\nan edge from node 15 to node 12 with capacity 9,\nan edge from node 15 to node 7 with capacity 11,\nan edge from node 15 to node 9 with capacity 5,\nan edge from node 15 to node 11 with capacity 4,\nan edge from node 16 to node 19 with capacity 17,\nan edge from node 16 to node 3 with capacity 20,\nan edge from node 16 to node 2 with capacity 16,\nan edge from node 16 to node 9 with capacity 17,\nan edge from node 17 to node 12 with capacity 16,\nan edge from node 17 to node 14 with capacity 4,\nan edge from node 17 to node 13 with capacity 2,\nan edge from node 17 to node 16 with capacity 15,\nan edge from node 17 to node 8 with capacity 12,\nan edge from node 17 to node 15 with capacity 1,\nan edge from node 17 to node 5 with capacity 11,\nan edge from node 18 to node 6 with capacity 13,\nan edge from node 18 to node 9 with capacity 2,\nan edge from node 18 to node 11 with capacity 9,\nan edge from node 18 to node 8 with capacity 9,\nan edge from node 19 to node 6 with capacity 12,\nan edge from node 19 to node 13 with capacity 8,\nan edge from node 19 to node 2 with capacity 15,\nan edge from node 19 to node 0 with capacity 4,\nWhat is the maximum flow from node 9 to node 10:"
            },
            {
                "from": "gpt",
                "value": "56."
            }
        ]
    },
    {
        "id": "flow-hard-graph693",
        "image": "data/flow/graph_visual/hard/graph693.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 5 with capacity 3,\nan edge from node 0 to node 2 with capacity 20,\nan edge from node 0 to node 8 with capacity 10,\nan edge from node 0 to node 10 with capacity 8,\nan edge from node 1 to node 5 with capacity 9,\nan edge from node 1 to node 11 with capacity 7,\nan edge from node 1 to node 14 with capacity 17,\nan edge from node 1 to node 0 with capacity 11,\nan edge from node 1 to node 13 with capacity 9,\nan edge from node 1 to node 3 with capacity 9,\nan edge from node 1 to node 15 with capacity 10,\nan edge from node 2 to node 8 with capacity 15,\nan edge from node 2 to node 10 with capacity 4,\nan edge from node 3 to node 4 with capacity 11,\nan edge from node 3 to node 14 with capacity 9,\nan edge from node 3 to node 0 with capacity 8,\nan edge from node 3 to node 1 with capacity 20,\nan edge from node 3 to node 12 with capacity 15,\nan edge from node 3 to node 6 with capacity 2,\nan edge from node 4 to node 2 with capacity 1,\nan edge from node 4 to node 10 with capacity 11,\nan edge from node 5 to node 4 with capacity 17,\nan edge from node 5 to node 11 with capacity 7,\nan edge from node 5 to node 6 with capacity 14,\nan edge from node 6 to node 4 with capacity 8,\nan edge from node 6 to node 11 with capacity 3,\nan edge from node 6 to node 0 with capacity 13,\nan edge from node 6 to node 1 with capacity 2,\nan edge from node 7 to node 4 with capacity 6,\nan edge from node 7 to node 10 with capacity 6,\nan edge from node 7 to node 6 with capacity 16,\nan edge from node 8 to node 5 with capacity 9,\nan edge from node 8 to node 11 with capacity 10,\nan edge from node 8 to node 2 with capacity 10,\nan edge from node 8 to node 0 with capacity 7,\nan edge from node 8 to node 9 with capacity 9,\nan edge from node 9 to node 4 with capacity 20,\nan edge from node 9 to node 11 with capacity 13,\nan edge from node 9 to node 2 with capacity 15,\nan edge from node 9 to node 1 with capacity 11,\nan edge from node 9 to node 3 with capacity 16,\nan edge from node 10 to node 4 with capacity 19,\nan edge from node 10 to node 0 with capacity 17,\nan edge from node 10 to node 13 with capacity 4,\nan edge from node 11 to node 14 with capacity 11,\nan edge from node 11 to node 1 with capacity 14,\nan edge from node 11 to node 9 with capacity 14,\nan edge from node 11 to node 12 with capacity 16,\nan edge from node 11 to node 6 with capacity 2,\nan edge from node 11 to node 15 with capacity 14,\nan edge from node 12 to node 4 with capacity 5,\nan edge from node 12 to node 8 with capacity 9,\nan edge from node 12 to node 10 with capacity 16,\nan edge from node 12 to node 7 with capacity 19,\nan edge from node 12 to node 6 with capacity 16,\nan edge from node 13 to node 5 with capacity 5,\nan edge from node 13 to node 11 with capacity 8,\nan edge from node 13 to node 14 with capacity 17,\nan edge from node 13 to node 9 with capacity 14,\nan edge from node 13 to node 10 with capacity 5,\nan edge from node 13 to node 7 with capacity 7,\nan edge from node 14 to node 4 with capacity 13,\nan edge from node 14 to node 11 with capacity 2,\nan edge from node 14 to node 1 with capacity 1,\nan edge from node 14 to node 6 with capacity 14,\nan edge from node 15 to node 5 with capacity 15,\nan edge from node 15 to node 11 with capacity 1,\nan edge from node 15 to node 8 with capacity 12,\nan edge from node 15 to node 12 with capacity 1,\nan edge from node 15 to node 7 with capacity 7,\nWhat is the maximum flow from node 7 to node 6:"
            },
            {
                "from": "gpt",
                "value": "28."
            }
        ]
    },
    {
        "id": "flow-hard-graph3",
        "image": "data/flow/graph_visual/hard/graph3.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 5 with capacity 19,\nan edge from node 0 to node 1 with capacity 13,\nan edge from node 1 to node 2 with capacity 8,\nan edge from node 1 to node 8 with capacity 13,\nan edge from node 1 to node 7 with capacity 13,\nan edge from node 1 to node 9 with capacity 9,\nan edge from node 2 to node 3 with capacity 2,\nan edge from node 2 to node 9 with capacity 4,\nan edge from node 2 to node 6 with capacity 8,\nan edge from node 3 to node 6 with capacity 13,\nan edge from node 4 to node 2 with capacity 10,\nan edge from node 4 to node 3 with capacity 16,\nan edge from node 4 to node 8 with capacity 8,\nan edge from node 4 to node 7 with capacity 4,\nan edge from node 5 to node 2 with capacity 17,\nan edge from node 5 to node 0 with capacity 12,\nan edge from node 5 to node 3 with capacity 4,\nan edge from node 5 to node 6 with capacity 15,\nan edge from node 7 to node 4 with capacity 5,\nan edge from node 7 to node 2 with capacity 14,\nan edge from node 7 to node 10 with capacity 7,\nan edge from node 7 to node 0 with capacity 13,\nan edge from node 7 to node 3 with capacity 12,\nan edge from node 7 to node 1 with capacity 6,\nan edge from node 7 to node 6 with capacity 4,\nan edge from node 8 to node 5 with capacity 13,\nan edge from node 8 to node 10 with capacity 16,\nan edge from node 8 to node 6 with capacity 9,\nan edge from node 9 to node 4 with capacity 20,\nan edge from node 9 to node 2 with capacity 15,\nan edge from node 9 to node 8 with capacity 18,\nan edge from node 9 to node 7 with capacity 16,\nan edge from node 10 to node 5 with capacity 17,\nWhat is the maximum flow from node 4 to node 3:"
            },
            {
                "from": "gpt",
                "value": "34."
            }
        ]
    },
    {
        "id": "flow-hard-graph948",
        "image": "data/flow/graph_visual/hard/graph948.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 11 with capacity 10,\nan edge from node 0 to node 6 with capacity 1,\nan edge from node 0 to node 7 with capacity 1,\nan edge from node 0 to node 3 with capacity 5,\nan edge from node 0 to node 13 with capacity 11,\nan edge from node 1 to node 11 with capacity 4,\nan edge from node 1 to node 5 with capacity 2,\nan edge from node 1 to node 14 with capacity 12,\nan edge from node 1 to node 15 with capacity 5,\nan edge from node 1 to node 13 with capacity 15,\nan edge from node 2 to node 5 with capacity 12,\nan edge from node 2 to node 14 with capacity 20,\nan edge from node 2 to node 12 with capacity 16,\nan edge from node 3 to node 11 with capacity 8,\nan edge from node 3 to node 14 with capacity 18,\nan edge from node 3 to node 6 with capacity 18,\nan edge from node 3 to node 17 with capacity 10,\nan edge from node 3 to node 12 with capacity 19,\nan edge from node 4 to node 5 with capacity 16,\nan edge from node 4 to node 10 with capacity 13,\nan edge from node 4 to node 3 with capacity 12,\nan edge from node 4 to node 12 with capacity 19,\nan edge from node 5 to node 16 with capacity 3,\nan edge from node 5 to node 11 with capacity 10,\nan edge from node 5 to node 14 with capacity 16,\nan edge from node 5 to node 13 with capacity 11,\nan edge from node 6 to node 3 with capacity 4,\nan edge from node 6 to node 15 with capacity 13,\nan edge from node 6 to node 4 with capacity 8,\nan edge from node 6 to node 0 with capacity 14,\nan edge from node 7 to node 8 with capacity 20,\nan edge from node 7 to node 16 with capacity 19,\nan edge from node 7 to node 11 with capacity 18,\nan edge from node 7 to node 9 with capacity 15,\nan edge from node 7 to node 1 with capacity 5,\nan edge from node 7 to node 2 with capacity 9,\nan edge from node 7 to node 12 with capacity 19,\nan edge from node 8 to node 11 with capacity 14,\nan edge from node 8 to node 6 with capacity 19,\nan edge from node 8 to node 7 with capacity 17,\nan edge from node 8 to node 15 with capacity 2,\nan edge from node 9 to node 5 with capacity 17,\nan edge from node 9 to node 13 with capacity 10,\nan edge from node 10 to node 11 with capacity 20,\nan edge from node 10 to node 6 with capacity 18,\nan edge from node 10 to node 17 with capacity 3,\nan edge from node 10 to node 4 with capacity 2,\nan edge from node 10 to node 12 with capacity 17,\nan edge from node 11 to node 1 with capacity 4,\nan edge from node 11 to node 15 with capacity 15,\nan edge from node 11 to node 4 with capacity 5,\nan edge from node 12 to node 8 with capacity 20,\nan edge from node 12 to node 14 with capacity 2,\nan edge from node 12 to node 6 with capacity 9,\nan edge from node 12 to node 1 with capacity 12,\nan edge from node 12 to node 13 with capacity 8,\nan edge from node 12 to node 0 with capacity 5,\nan edge from node 13 to node 5 with capacity 6,\nan edge from node 13 to node 14 with capacity 17,\nan edge from node 13 to node 17 with capacity 6,\nan edge from node 13 to node 3 with capacity 2,\nan edge from node 13 to node 4 with capacity 13,\nan edge from node 14 to node 1 with capacity 1,\nan edge from node 14 to node 2 with capacity 4,\nan edge from node 14 to node 15 with capacity 7,\nan edge from node 14 to node 4 with capacity 4,\nan edge from node 15 to node 10 with capacity 9,\nan edge from node 15 to node 1 with capacity 20,\nan edge from node 16 to node 11 with capacity 12,\nan edge from node 16 to node 6 with capacity 6,\nan edge from node 16 to node 2 with capacity 20,\nan edge from node 16 to node 13 with capacity 19,\nan edge from node 16 to node 12 with capacity 11,\nan edge from node 17 to node 9 with capacity 2,\nan edge from node 17 to node 5 with capacity 4,\nan edge from node 17 to node 6 with capacity 13,\nan edge from node 17 to node 10 with capacity 2,\nan edge from node 17 to node 1 with capacity 8,\nan edge from node 17 to node 13 with capacity 14,\nWhat is the maximum flow from node 16 to node 12:"
            },
            {
                "from": "gpt",
                "value": "68."
            }
        ]
    },
    {
        "id": "flow-hard-graph59",
        "image": "data/flow/graph_visual/hard/graph59.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 8 with capacity 14,\nan edge from node 0 to node 2 with capacity 6,\nan edge from node 0 to node 4 with capacity 10,\nan edge from node 0 to node 7 with capacity 9,\nan edge from node 1 to node 9 with capacity 4,\nan edge from node 1 to node 7 with capacity 17,\nan edge from node 2 to node 8 with capacity 14,\nan edge from node 2 to node 9 with capacity 8,\nan edge from node 2 to node 3 with capacity 12,\nan edge from node 2 to node 1 with capacity 20,\nan edge from node 3 to node 6 with capacity 17,\nan edge from node 4 to node 9 with capacity 14,\nan edge from node 4 to node 1 with capacity 9,\nan edge from node 5 to node 8 with capacity 3,\nan edge from node 5 to node 2 with capacity 17,\nan edge from node 5 to node 3 with capacity 13,\nan edge from node 5 to node 1 with capacity 7,\nan edge from node 6 to node 9 with capacity 11,\nan edge from node 7 to node 5 with capacity 8,\nan edge from node 7 to node 3 with capacity 16,\nan edge from node 8 to node 4 with capacity 20,\nan edge from node 8 to node 1 with capacity 17,\nan edge from node 9 to node 10 with capacity 13,\nan edge from node 9 to node 5 with capacity 17,\nan edge from node 9 to node 6 with capacity 1,\nan edge from node 10 to node 8 with capacity 9,\nan edge from node 10 to node 9 with capacity 2,\nan edge from node 10 to node 5 with capacity 20,\nWhat is the maximum flow from node 8 to node 10:"
            },
            {
                "from": "gpt",
                "value": "13."
            }
        ]
    },
    {
        "id": "flow-hard-graph707",
        "image": "data/flow/graph_visual/hard/graph707.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 13 with capacity 4,\nan edge from node 0 to node 3 with capacity 20,\nan edge from node 0 to node 9 with capacity 18,\nan edge from node 0 to node 5 with capacity 9,\nan edge from node 0 to node 14 with capacity 14,\nan edge from node 0 to node 7 with capacity 17,\nan edge from node 1 to node 12 with capacity 19,\nan edge from node 1 to node 6 with capacity 7,\nan edge from node 1 to node 4 with capacity 19,\nan edge from node 1 to node 14 with capacity 9,\nan edge from node 2 to node 11 with capacity 15,\nan edge from node 2 to node 3 with capacity 14,\nan edge from node 2 to node 12 with capacity 1,\nan edge from node 2 to node 14 with capacity 7,\nan edge from node 2 to node 1 with capacity 10,\nan edge from node 3 to node 14 with capacity 9,\nan edge from node 3 to node 1 with capacity 7,\nan edge from node 4 to node 11 with capacity 8,\nan edge from node 4 to node 2 with capacity 19,\nan edge from node 4 to node 9 with capacity 18,\nan edge from node 4 to node 5 with capacity 15,\nan edge from node 4 to node 7 with capacity 17,\nan edge from node 5 to node 11 with capacity 3,\nan edge from node 5 to node 15 with capacity 9,\nan edge from node 5 to node 3 with capacity 12,\nan edge from node 5 to node 6 with capacity 2,\nan edge from node 6 to node 11 with capacity 2,\nan edge from node 6 to node 4 with capacity 10,\nan edge from node 6 to node 8 with capacity 16,\nan edge from node 7 to node 15 with capacity 2,\nan edge from node 7 to node 9 with capacity 8,\nan edge from node 7 to node 1 with capacity 12,\nan edge from node 7 to node 0 with capacity 20,\nan edge from node 8 to node 13 with capacity 5,\nan edge from node 8 to node 15 with capacity 9,\nan edge from node 8 to node 3 with capacity 20,\nan edge from node 8 to node 2 with capacity 5,\nan edge from node 8 to node 5 with capacity 9,\nan edge from node 8 to node 4 with capacity 10,\nan edge from node 8 to node 1 with capacity 20,\nan edge from node 8 to node 0 with capacity 19,\nan edge from node 8 to node 7 with capacity 5,\nan edge from node 9 to node 10 with capacity 18,\nan edge from node 9 to node 5 with capacity 11,\nan edge from node 9 to node 1 with capacity 10,\nan edge from node 9 to node 7 with capacity 4,\nan edge from node 10 to node 3 with capacity 1,\nan edge from node 10 to node 1 with capacity 7,\nan edge from node 11 to node 15 with capacity 4,\nan edge from node 11 to node 2 with capacity 4,\nan edge from node 11 to node 6 with capacity 14,\nan edge from node 11 to node 4 with capacity 4,\nan edge from node 11 to node 14 with capacity 1,\nan edge from node 11 to node 0 with capacity 14,\nan edge from node 12 to node 13 with capacity 8,\nan edge from node 12 to node 15 with capacity 17,\nan edge from node 12 to node 2 with capacity 6,\nan edge from node 12 to node 5 with capacity 6,\nan edge from node 12 to node 14 with capacity 7,\nan edge from node 12 to node 7 with capacity 4,\nan edge from node 13 to node 11 with capacity 14,\nan edge from node 13 to node 12 with capacity 12,\nan edge from node 13 to node 9 with capacity 3,\nan edge from node 13 to node 6 with capacity 6,\nan edge from node 13 to node 5 with capacity 11,\nan edge from node 13 to node 4 with capacity 2,\nan edge from node 13 to node 1 with capacity 6,\nan edge from node 13 to node 0 with capacity 16,\nan edge from node 13 to node 7 with capacity 12,\nan edge from node 14 to node 12 with capacity 4,\nan edge from node 15 to node 3 with capacity 18,\nan edge from node 15 to node 12 with capacity 8,\nan edge from node 15 to node 6 with capacity 17,\nan edge from node 15 to node 1 with capacity 16,\nan edge from node 15 to node 0 with capacity 19,\nan edge from node 15 to node 7 with capacity 4,\nWhat is the maximum flow from node 15 to node 10:"
            },
            {
                "from": "gpt",
                "value": "18."
            }
        ]
    },
    {
        "id": "flow-hard-graph994",
        "image": "data/flow/graph_visual/hard/graph994.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 9 with capacity 18,\nan edge from node 0 to node 7 with capacity 19,\nan edge from node 1 to node 13 with capacity 13,\nan edge from node 1 to node 4 with capacity 15,\nan edge from node 1 to node 12 with capacity 20,\nan edge from node 1 to node 3 with capacity 11,\nan edge from node 1 to node 15 with capacity 11,\nan edge from node 1 to node 5 with capacity 17,\nan edge from node 2 to node 11 with capacity 11,\nan edge from node 2 to node 17 with capacity 7,\nan edge from node 2 to node 6 with capacity 1,\nan edge from node 2 to node 12 with capacity 6,\nan edge from node 3 to node 11 with capacity 2,\nan edge from node 3 to node 17 with capacity 19,\nan edge from node 3 to node 13 with capacity 7,\nan edge from node 3 to node 10 with capacity 3,\nan edge from node 3 to node 9 with capacity 14,\nan edge from node 3 to node 5 with capacity 7,\nan edge from node 4 to node 12 with capacity 9,\nan edge from node 4 to node 9 with capacity 15,\nan edge from node 4 to node 8 with capacity 5,\nan edge from node 5 to node 13 with capacity 19,\nan edge from node 5 to node 9 with capacity 16,\nan edge from node 5 to node 15 with capacity 12,\nan edge from node 5 to node 7 with capacity 10,\nan edge from node 6 to node 17 with capacity 13,\nan edge from node 6 to node 12 with capacity 15,\nan edge from node 6 to node 14 with capacity 3,\nan edge from node 6 to node 2 with capacity 7,\nan edge from node 7 to node 16 with capacity 12,\nan edge from node 7 to node 18 with capacity 14,\nan edge from node 7 to node 15 with capacity 1,\nan edge from node 7 to node 0 with capacity 7,\nan edge from node 7 to node 5 with capacity 11,\nan edge from node 7 to node 8 with capacity 2,\nan edge from node 8 to node 11 with capacity 19,\nan edge from node 8 to node 6 with capacity 10,\nan edge from node 8 to node 16 with capacity 4,\nan edge from node 8 to node 18 with capacity 15,\nan edge from node 8 to node 3 with capacity 19,\nan edge from node 8 to node 14 with capacity 6,\nan edge from node 9 to node 6 with capacity 2,\nan edge from node 9 to node 12 with capacity 20,\nan edge from node 9 to node 3 with capacity 8,\nan edge from node 9 to node 2 with capacity 7,\nan edge from node 9 to node 0 with capacity 4,\nan edge from node 9 to node 1 with capacity 8,\nan edge from node 10 to node 17 with capacity 8,\nan edge from node 10 to node 3 with capacity 6,\nan edge from node 11 to node 17 with capacity 8,\nan edge from node 11 to node 16 with capacity 13,\nan edge from node 11 to node 18 with capacity 4,\nan edge from node 11 to node 10 with capacity 15,\nan edge from node 11 to node 15 with capacity 8,\nan edge from node 11 to node 2 with capacity 17,\nan edge from node 11 to node 1 with capacity 5,\nan edge from node 12 to node 3 with capacity 3,\nan edge from node 12 to node 15 with capacity 1,\nan edge from node 12 to node 7 with capacity 15,\nan edge from node 13 to node 16 with capacity 2,\nan edge from node 13 to node 10 with capacity 17,\nan edge from node 13 to node 1 with capacity 13,\nan edge from node 13 to node 8 with capacity 2,\nan edge from node 14 to node 16 with capacity 20,\nan edge from node 14 to node 15 with capacity 7,\nan edge from node 14 to node 8 with capacity 16,\nan edge from node 15 to node 11 with capacity 16,\nan edge from node 15 to node 16 with capacity 9,\nan edge from node 15 to node 9 with capacity 5,\nan edge from node 15 to node 2 with capacity 20,\nan edge from node 15 to node 5 with capacity 20,\nan edge from node 15 to node 8 with capacity 18,\nan edge from node 16 to node 13 with capacity 13,\nan edge from node 16 to node 10 with capacity 13,\nan edge from node 16 to node 9 with capacity 15,\nan edge from node 16 to node 7 with capacity 10,\nan edge from node 16 to node 1 with capacity 13,\nan edge from node 17 to node 11 with capacity 4,\nan edge from node 17 to node 6 with capacity 18,\nan edge from node 17 to node 4 with capacity 18,\nan edge from node 17 to node 15 with capacity 12,\nan edge from node 17 to node 14 with capacity 8,\nan edge from node 17 to node 7 with capacity 11,\nan edge from node 17 to node 0 with capacity 15,\nan edge from node 18 to node 13 with capacity 7,\nan edge from node 18 to node 2 with capacity 12,\nan edge from node 18 to node 5 with capacity 20,\nWhat is the maximum flow from node 4 to node 18:"
            },
            {
                "from": "gpt",
                "value": "29."
            }
        ]
    },
    {
        "id": "flow-hard-graph1008",
        "image": "data/flow/graph_visual/hard/graph1008.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 18 with capacity 16,\nan edge from node 0 to node 16 with capacity 1,\nan edge from node 0 to node 5 with capacity 10,\nan edge from node 0 to node 11 with capacity 8,\nan edge from node 0 to node 1 with capacity 13,\nan edge from node 0 to node 15 with capacity 1,\nan edge from node 0 to node 7 with capacity 13,\nan edge from node 1 to node 13 with capacity 5,\nan edge from node 1 to node 5 with capacity 20,\nan edge from node 1 to node 0 with capacity 14,\nan edge from node 1 to node 9 with capacity 12,\nan edge from node 1 to node 15 with capacity 12,\nan edge from node 1 to node 2 with capacity 9,\nan edge from node 2 to node 10 with capacity 3,\nan edge from node 2 to node 11 with capacity 14,\nan edge from node 2 to node 1 with capacity 7,\nan edge from node 2 to node 7 with capacity 2,\nan edge from node 3 to node 6 with capacity 12,\nan edge from node 3 to node 16 with capacity 1,\nan edge from node 3 to node 4 with capacity 10,\nan edge from node 4 to node 8 with capacity 1,\nan edge from node 4 to node 3 with capacity 2,\nan edge from node 4 to node 17 with capacity 17,\nan edge from node 4 to node 15 with capacity 10,\nan edge from node 4 to node 2 with capacity 20,\nan edge from node 5 to node 12 with capacity 17,\nan edge from node 5 to node 13 with capacity 10,\nan edge from node 5 to node 3 with capacity 16,\nan edge from node 5 to node 10 with capacity 8,\nan edge from node 5 to node 15 with capacity 12,\nan edge from node 5 to node 7 with capacity 7,\nan edge from node 6 to node 8 with capacity 8,\nan edge from node 6 to node 10 with capacity 18,\nan edge from node 6 to node 7 with capacity 12,\nan edge from node 7 to node 13 with capacity 15,\nan edge from node 7 to node 4 with capacity 5,\nan edge from node 7 to node 8 with capacity 13,\nan edge from node 7 to node 15 with capacity 1,\nan edge from node 8 to node 14 with capacity 16,\nan edge from node 8 to node 13 with capacity 10,\nan edge from node 8 to node 3 with capacity 20,\nan edge from node 8 to node 17 with capacity 13,\nan edge from node 8 to node 1 with capacity 17,\nan edge from node 8 to node 7 with capacity 5,\nan edge from node 8 to node 2 with capacity 9,\nan edge from node 9 to node 14 with capacity 17,\nan edge from node 9 to node 18 with capacity 5,\nan edge from node 9 to node 8 with capacity 7,\nan edge from node 9 to node 10 with capacity 12,\nan edge from node 9 to node 1 with capacity 13,\nan edge from node 10 to node 14 with capacity 11,\nan edge from node 10 to node 13 with capacity 11,\nan edge from node 10 to node 4 with capacity 1,\nan edge from node 10 to node 1 with capacity 6,\nan edge from node 10 to node 2 with capacity 2,\nan edge from node 11 to node 12 with capacity 19,\nan edge from node 11 to node 18 with capacity 3,\nan edge from node 11 to node 6 with capacity 2,\nan edge from node 11 to node 5 with capacity 1,\nan edge from node 11 to node 4 with capacity 12,\nan edge from node 12 to node 0 with capacity 16,\nan edge from node 12 to node 8 with capacity 2,\nan edge from node 13 to node 6 with capacity 17,\nan edge from node 13 to node 10 with capacity 19,\nan edge from node 13 to node 11 with capacity 19,\nan edge from node 14 to node 6 with capacity 9,\nan edge from node 14 to node 0 with capacity 14,\nan edge from node 14 to node 17 with capacity 10,\nan edge from node 14 to node 1 with capacity 19,\nan edge from node 15 to node 6 with capacity 8,\nan edge from node 15 to node 16 with capacity 18,\nan edge from node 15 to node 4 with capacity 9,\nan edge from node 15 to node 7 with capacity 12,\nan edge from node 16 to node 7 with capacity 12,\nan edge from node 16 to node 2 with capacity 19,\nan edge from node 17 to node 12 with capacity 3,\nan edge from node 17 to node 18 with capacity 15,\nan edge from node 17 to node 8 with capacity 8,\nan edge from node 17 to node 3 with capacity 2,\nan edge from node 17 to node 11 with capacity 9,\nan edge from node 17 to node 2 with capacity 3,\nan edge from node 18 to node 12 with capacity 16,\nan edge from node 18 to node 5 with capacity 1,\nan edge from node 18 to node 3 with capacity 1,\nan edge from node 18 to node 11 with capacity 6,\nan edge from node 18 to node 2 with capacity 9,\nWhat is the maximum flow from node 9 to node 11:"
            },
            {
                "from": "gpt",
                "value": "54."
            }
        ]
    },
    {
        "id": "flow-hard-graph445",
        "image": "data/flow/graph_visual/hard/graph445.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 12 with capacity 7,\nan edge from node 0 to node 7 with capacity 10,\nan edge from node 0 to node 11 with capacity 18,\nan edge from node 0 to node 8 with capacity 4,\nan edge from node 1 to node 9 with capacity 12,\nan edge from node 1 to node 12 with capacity 18,\nan edge from node 1 to node 10 with capacity 17,\nan edge from node 1 to node 6 with capacity 2,\nan edge from node 2 to node 9 with capacity 2,\nan edge from node 2 to node 12 with capacity 18,\nan edge from node 2 to node 0 with capacity 3,\nan edge from node 4 to node 9 with capacity 14,\nan edge from node 4 to node 7 with capacity 4,\nan edge from node 4 to node 5 with capacity 19,\nan edge from node 4 to node 8 with capacity 8,\nan edge from node 5 to node 12 with capacity 14,\nan edge from node 5 to node 7 with capacity 15,\nan edge from node 5 to node 4 with capacity 7,\nan edge from node 5 to node 13 with capacity 15,\nan edge from node 5 to node 8 with capacity 4,\nan edge from node 5 to node 1 with capacity 18,\nan edge from node 6 to node 9 with capacity 14,\nan edge from node 6 to node 7 with capacity 3,\nan edge from node 6 to node 4 with capacity 7,\nan edge from node 6 to node 5 with capacity 19,\nan edge from node 6 to node 1 with capacity 18,\nan edge from node 7 to node 0 with capacity 3,\nan edge from node 8 to node 12 with capacity 9,\nan edge from node 8 to node 11 with capacity 12,\nan edge from node 8 to node 3 with capacity 4,\nan edge from node 9 to node 13 with capacity 13,\nan edge from node 10 to node 2 with capacity 7,\nan edge from node 10 to node 11 with capacity 17,\nan edge from node 11 to node 4 with capacity 2,\nan edge from node 11 to node 3 with capacity 13,\nan edge from node 12 to node 2 with capacity 1,\nan edge from node 12 to node 6 with capacity 13,\nan edge from node 13 to node 4 with capacity 15,\nan edge from node 13 to node 6 with capacity 20,\nWhat is the maximum flow from node 11 to node 12:"
            },
            {
                "from": "gpt",
                "value": "2."
            }
        ]
    },
    {
        "id": "flow-hard-graph201",
        "image": "data/flow/graph_visual/hard/graph201.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 6 with capacity 11,\nan edge from node 0 to node 3 with capacity 1,\nan edge from node 0 to node 9 with capacity 2,\nan edge from node 0 to node 8 with capacity 15,\nan edge from node 0 to node 11 with capacity 18,\nan edge from node 0 to node 10 with capacity 5,\nan edge from node 1 to node 7 with capacity 16,\nan edge from node 2 to node 0 with capacity 6,\nan edge from node 3 to node 1 with capacity 2,\nan edge from node 3 to node 4 with capacity 9,\nan edge from node 4 to node 9 with capacity 7,\nan edge from node 4 to node 8 with capacity 13,\nan edge from node 4 to node 0 with capacity 6,\nan edge from node 5 to node 1 with capacity 15,\nan edge from node 5 to node 10 with capacity 15,\nan edge from node 6 to node 3 with capacity 18,\nan edge from node 6 to node 9 with capacity 18,\nan edge from node 6 to node 8 with capacity 19,\nan edge from node 7 to node 6 with capacity 8,\nan edge from node 7 to node 1 with capacity 4,\nan edge from node 7 to node 3 with capacity 5,\nan edge from node 7 to node 8 with capacity 5,\nan edge from node 7 to node 0 with capacity 12,\nan edge from node 8 to node 3 with capacity 18,\nan edge from node 8 to node 9 with capacity 4,\nan edge from node 8 to node 0 with capacity 7,\nan edge from node 8 to node 10 with capacity 20,\nan edge from node 8 to node 4 with capacity 9,\nan edge from node 9 to node 6 with capacity 12,\nan edge from node 9 to node 2 with capacity 10,\nan edge from node 9 to node 7 with capacity 18,\nan edge from node 9 to node 3 with capacity 8,\nan edge from node 9 to node 8 with capacity 18,\nan edge from node 9 to node 0 with capacity 1,\nan edge from node 10 to node 3 with capacity 10,\nan edge from node 10 to node 9 with capacity 16,\nan edge from node 11 to node 1 with capacity 17,\nWhat is the maximum flow from node 11 to node 2:"
            },
            {
                "from": "gpt",
                "value": "10."
            }
        ]
    },
    {
        "id": "flow-hard-graph458",
        "image": "data/flow/graph_visual/hard/graph458.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 4 with capacity 12,\nan edge from node 1 to node 6 with capacity 2,\nan edge from node 1 to node 9 with capacity 3,\nan edge from node 1 to node 7 with capacity 15,\nan edge from node 1 to node 4 with capacity 1,\nan edge from node 1 to node 3 with capacity 4,\nan edge from node 1 to node 0 with capacity 20,\nan edge from node 2 to node 3 with capacity 12,\nan edge from node 3 to node 9 with capacity 15,\nan edge from node 3 to node 11 with capacity 16,\nan edge from node 3 to node 13 with capacity 8,\nan edge from node 4 to node 13 with capacity 13,\nan edge from node 5 to node 8 with capacity 15,\nan edge from node 5 to node 2 with capacity 11,\nan edge from node 5 to node 11 with capacity 5,\nan edge from node 6 to node 4 with capacity 19,\nan edge from node 7 to node 12 with capacity 16,\nan edge from node 8 to node 9 with capacity 7,\nan edge from node 8 to node 1 with capacity 16,\nan edge from node 8 to node 11 with capacity 14,\nan edge from node 8 to node 13 with capacity 13,\nan edge from node 9 to node 6 with capacity 9,\nan edge from node 10 to node 5 with capacity 7,\nan edge from node 10 to node 11 with capacity 4,\nan edge from node 11 to node 5 with capacity 5,\nan edge from node 11 to node 2 with capacity 11,\nan edge from node 11 to node 13 with capacity 5,\nan edge from node 12 to node 6 with capacity 13,\nan edge from node 12 to node 13 with capacity 18,\nan edge from node 13 to node 6 with capacity 11,\nan edge from node 13 to node 4 with capacity 10,\nan edge from node 13 to node 0 with capacity 8,\nWhat is the maximum flow from node 3 to node 6:"
            },
            {
                "from": "gpt",
                "value": "25."
            }
        ]
    },
    {
        "id": "flow-hard-graph722",
        "image": "data/flow/graph_visual/hard/graph722.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 12 with capacity 4,\nan edge from node 0 to node 14 with capacity 11,\nan edge from node 0 to node 13 with capacity 10,\nan edge from node 2 to node 15 with capacity 13,\nan edge from node 2 to node 16 with capacity 1,\nan edge from node 3 to node 1 with capacity 11,\nan edge from node 3 to node 4 with capacity 10,\nan edge from node 3 to node 10 with capacity 9,\nan edge from node 4 to node 11 with capacity 8,\nan edge from node 4 to node 14 with capacity 20,\nan edge from node 4 to node 6 with capacity 14,\nan edge from node 4 to node 0 with capacity 10,\nan edge from node 4 to node 10 with capacity 14,\nan edge from node 4 to node 13 with capacity 2,\nan edge from node 5 to node 2 with capacity 17,\nan edge from node 5 to node 6 with capacity 17,\nan edge from node 5 to node 13 with capacity 16,\nan edge from node 6 to node 11 with capacity 9,\nan edge from node 6 to node 9 with capacity 14,\nan edge from node 6 to node 13 with capacity 16,\nan edge from node 7 to node 14 with capacity 12,\nan edge from node 7 to node 0 with capacity 6,\nan edge from node 8 to node 12 with capacity 8,\nan edge from node 8 to node 14 with capacity 2,\nan edge from node 8 to node 7 with capacity 17,\nan edge from node 8 to node 0 with capacity 5,\nan edge from node 8 to node 4 with capacity 19,\nan edge from node 9 to node 8 with capacity 9,\nan edge from node 9 to node 2 with capacity 9,\nan edge from node 9 to node 7 with capacity 6,\nan edge from node 9 to node 10 with capacity 14,\nan edge from node 9 to node 13 with capacity 14,\nan edge from node 10 to node 8 with capacity 13,\nan edge from node 10 to node 12 with capacity 13,\nan edge from node 10 to node 15 with capacity 7,\nan edge from node 10 to node 2 with capacity 11,\nan edge from node 10 to node 16 with capacity 14,\nan edge from node 10 to node 5 with capacity 5,\nan edge from node 11 to node 9 with capacity 18,\nan edge from node 11 to node 6 with capacity 8,\nan edge from node 11 to node 16 with capacity 11,\nan edge from node 11 to node 10 with capacity 17,\nan edge from node 12 to node 8 with capacity 12,\nan edge from node 12 to node 2 with capacity 3,\nan edge from node 12 to node 11 with capacity 12,\nan edge from node 12 to node 7 with capacity 7,\nan edge from node 12 to node 6 with capacity 2,\nan edge from node 12 to node 5 with capacity 2,\nan edge from node 12 to node 10 with capacity 8,\nan edge from node 13 to node 15 with capacity 17,\nan edge from node 13 to node 7 with capacity 19,\nan edge from node 13 to node 9 with capacity 5,\nan edge from node 13 to node 4 with capacity 18,\nan edge from node 14 to node 1 with capacity 10,\nan edge from node 14 to node 15 with capacity 20,\nan edge from node 14 to node 7 with capacity 16,\nan edge from node 14 to node 6 with capacity 6,\nan edge from node 14 to node 13 with capacity 6,\nan edge from node 15 to node 12 with capacity 17,\nan edge from node 15 to node 2 with capacity 5,\nan edge from node 15 to node 6 with capacity 9,\nan edge from node 15 to node 0 with capacity 7,\nan edge from node 16 to node 14 with capacity 2,\nan edge from node 16 to node 13 with capacity 14,\nWhat is the maximum flow from node 7 to node 4:"
            },
            {
                "from": "gpt",
                "value": "18."
            }
        ]
    },
    {
        "id": "flow-hard-graph802",
        "image": "data/flow/graph_visual/hard/graph802.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 11 with capacity 16,\nan edge from node 0 to node 13 with capacity 7,\nan edge from node 0 to node 15 with capacity 17,\nan edge from node 0 to node 8 with capacity 8,\nan edge from node 0 to node 2 with capacity 5,\nan edge from node 0 to node 6 with capacity 20,\nan edge from node 1 to node 11 with capacity 11,\nan edge from node 1 to node 4 with capacity 15,\nan edge from node 1 to node 8 with capacity 5,\nan edge from node 1 to node 12 with capacity 17,\nan edge from node 1 to node 6 with capacity 8,\nan edge from node 2 to node 14 with capacity 15,\nan edge from node 2 to node 10 with capacity 2,\nan edge from node 3 to node 11 with capacity 12,\nan edge from node 3 to node 15 with capacity 18,\nan edge from node 3 to node 2 with capacity 19,\nan edge from node 3 to node 5 with capacity 4,\nan edge from node 4 to node 7 with capacity 13,\nan edge from node 4 to node 3 with capacity 1,\nan edge from node 4 to node 6 with capacity 20,\nan edge from node 5 to node 4 with capacity 14,\nan edge from node 5 to node 15 with capacity 8,\nan edge from node 5 to node 3 with capacity 4,\nan edge from node 6 to node 2 with capacity 9,\nan edge from node 6 to node 5 with capacity 4,\nan edge from node 6 to node 10 with capacity 18,\nan edge from node 7 to node 8 with capacity 12,\nan edge from node 7 to node 14 with capacity 13,\nan edge from node 7 to node 2 with capacity 14,\nan edge from node 7 to node 12 with capacity 14,\nan edge from node 8 to node 13 with capacity 15,\nan edge from node 9 to node 13 with capacity 9,\nan edge from node 9 to node 14 with capacity 4,\nan edge from node 9 to node 12 with capacity 6,\nan edge from node 9 to node 6 with capacity 5,\nan edge from node 9 to node 10 with capacity 8,\nan edge from node 10 to node 15 with capacity 18,\nan edge from node 10 to node 0 with capacity 16,\nan edge from node 10 to node 9 with capacity 16,\nan edge from node 10 to node 5 with capacity 12,\nan edge from node 11 to node 15 with capacity 5,\nan edge from node 11 to node 5 with capacity 6,\nan edge from node 11 to node 6 with capacity 2,\nan edge from node 12 to node 4 with capacity 2,\nan edge from node 12 to node 2 with capacity 15,\nan edge from node 12 to node 5 with capacity 8,\nan edge from node 13 to node 11 with capacity 13,\nan edge from node 13 to node 8 with capacity 9,\nan edge from node 13 to node 12 with capacity 20,\nan edge from node 13 to node 5 with capacity 6,\nan edge from node 13 to node 10 with capacity 10,\nan edge from node 14 to node 4 with capacity 12,\nan edge from node 15 to node 1 with capacity 9,\nan edge from node 15 to node 8 with capacity 13,\nan edge from node 15 to node 2 with capacity 12,\nan edge from node 15 to node 5 with capacity 2,\nan edge from node 16 to node 1 with capacity 12,\nan edge from node 16 to node 15 with capacity 14,\nan edge from node 16 to node 0 with capacity 20,\nan edge from node 16 to node 12 with capacity 17,\nWhat is the maximum flow from node 10 to node 5:"
            },
            {
                "from": "gpt",
                "value": "39."
            }
        ]
    },
    {
        "id": "flow-hard-graph534",
        "image": "data/flow/graph_visual/hard/graph534.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 10 with capacity 15,\nan edge from node 0 to node 9 with capacity 11,\nan edge from node 1 to node 10 with capacity 6,\nan edge from node 1 to node 6 with capacity 17,\nan edge from node 1 to node 9 with capacity 12,\nan edge from node 1 to node 2 with capacity 2,\nan edge from node 1 to node 13 with capacity 8,\nan edge from node 2 to node 10 with capacity 5,\nan edge from node 2 to node 3 with capacity 17,\nan edge from node 2 to node 11 with capacity 3,\nan edge from node 2 to node 8 with capacity 8,\nan edge from node 3 to node 2 with capacity 10,\nan edge from node 3 to node 4 with capacity 11,\nan edge from node 3 to node 12 with capacity 2,\nan edge from node 4 to node 10 with capacity 14,\nan edge from node 4 to node 1 with capacity 4,\nan edge from node 4 to node 14 with capacity 6,\nan edge from node 4 to node 9 with capacity 4,\nan edge from node 4 to node 7 with capacity 5,\nan edge from node 5 to node 1 with capacity 1,\nan edge from node 5 to node 0 with capacity 6,\nan edge from node 5 to node 14 with capacity 8,\nan edge from node 6 to node 1 with capacity 6,\nan edge from node 6 to node 0 with capacity 2,\nan edge from node 6 to node 3 with capacity 3,\nan edge from node 6 to node 8 with capacity 6,\nan edge from node 7 to node 14 with capacity 5,\nan edge from node 7 to node 9 with capacity 19,\nan edge from node 7 to node 11 with capacity 13,\nan edge from node 7 to node 8 with capacity 13,\nan edge from node 8 to node 1 with capacity 10,\nan edge from node 8 to node 3 with capacity 9,\nan edge from node 8 to node 13 with capacity 3,\nan edge from node 8 to node 4 with capacity 20,\nan edge from node 8 to node 12 with capacity 7,\nan edge from node 8 to node 5 with capacity 13,\nan edge from node 9 to node 8 with capacity 12,\nan edge from node 9 to node 2 with capacity 5,\nan edge from node 9 to node 7 with capacity 11,\nan edge from node 10 to node 14 with capacity 20,\nan edge from node 10 to node 11 with capacity 18,\nan edge from node 10 to node 2 with capacity 16,\nan edge from node 10 to node 13 with capacity 9,\nan edge from node 10 to node 4 with capacity 13,\nan edge from node 10 to node 7 with capacity 11,\nan edge from node 11 to node 10 with capacity 15,\nan edge from node 11 to node 6 with capacity 19,\nan edge from node 11 to node 4 with capacity 9,\nan edge from node 12 to node 6 with capacity 3,\nan edge from node 12 to node 11 with capacity 20,\nan edge from node 12 to node 8 with capacity 5,\nan edge from node 12 to node 5 with capacity 1,\nan edge from node 13 to node 9 with capacity 7,\nan edge from node 13 to node 3 with capacity 2,\nan edge from node 13 to node 8 with capacity 12,\nan edge from node 13 to node 2 with capacity 5,\nan edge from node 14 to node 10 with capacity 14,\nan edge from node 14 to node 6 with capacity 7,\nan edge from node 14 to node 9 with capacity 8,\nan edge from node 14 to node 7 with capacity 13,\nWhat is the maximum flow from node 5 to node 0:"
            },
            {
                "from": "gpt",
                "value": "8."
            }
        ]
    },
    {
        "id": "flow-hard-graph669",
        "image": "data/flow/graph_visual/hard/graph669.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 3 with capacity 18,\nan edge from node 1 to node 13 with capacity 9,\nan edge from node 1 to node 12 with capacity 12,\nan edge from node 1 to node 3 with capacity 16,\nan edge from node 2 to node 11 with capacity 6,\nan edge from node 3 to node 13 with capacity 19,\nan edge from node 3 to node 12 with capacity 20,\nan edge from node 3 to node 8 with capacity 8,\nan edge from node 3 to node 14 with capacity 17,\nan edge from node 4 to node 11 with capacity 2,\nan edge from node 4 to node 13 with capacity 3,\nan edge from node 4 to node 12 with capacity 11,\nan edge from node 4 to node 8 with capacity 10,\nan edge from node 4 to node 9 with capacity 1,\nan edge from node 5 to node 4 with capacity 8,\nan edge from node 5 to node 12 with capacity 6,\nan edge from node 5 to node 3 with capacity 12,\nan edge from node 5 to node 7 with capacity 15,\nan edge from node 5 to node 10 with capacity 18,\nan edge from node 6 to node 13 with capacity 1,\nan edge from node 6 to node 3 with capacity 9,\nan edge from node 6 to node 5 with capacity 9,\nan edge from node 8 to node 13 with capacity 18,\nan edge from node 8 to node 3 with capacity 12,\nan edge from node 9 to node 12 with capacity 9,\nan edge from node 9 to node 10 with capacity 4,\nan edge from node 10 to node 2 with capacity 16,\nan edge from node 10 to node 6 with capacity 9,\nan edge from node 11 to node 2 with capacity 15,\nan edge from node 11 to node 6 with capacity 9,\nan edge from node 11 to node 10 with capacity 11,\nan edge from node 12 to node 4 with capacity 5,\nan edge from node 12 to node 2 with capacity 10,\nan edge from node 12 to node 1 with capacity 6,\nan edge from node 12 to node 6 with capacity 19,\nan edge from node 12 to node 7 with capacity 2,\nan edge from node 12 to node 14 with capacity 7,\nan edge from node 12 to node 5 with capacity 11,\nan edge from node 13 to node 3 with capacity 10,\nan edge from node 13 to node 7 with capacity 3,\nan edge from node 13 to node 8 with capacity 1,\nan edge from node 13 to node 15 with capacity 9,\nan edge from node 13 to node 10 with capacity 17,\nan edge from node 13 to node 5 with capacity 20,\nan edge from node 14 to node 1 with capacity 15,\nan edge from node 14 to node 12 with capacity 16,\nan edge from node 14 to node 6 with capacity 6,\nan edge from node 14 to node 8 with capacity 11,\nan edge from node 14 to node 15 with capacity 14,\nan edge from node 14 to node 5 with capacity 4,\nan edge from node 15 to node 0 with capacity 18,\nan edge from node 15 to node 5 with capacity 9,\nWhat is the maximum flow from node 4 to node 9:"
            },
            {
                "from": "gpt",
                "value": "1."
            }
        ]
    },
    {
        "id": "flow-hard-graph288",
        "image": "data/flow/graph_visual/hard/graph288.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 9 with capacity 16,\nan edge from node 0 to node 8 with capacity 17,\nan edge from node 0 to node 3 with capacity 2,\nan edge from node 0 to node 4 with capacity 11,\nan edge from node 1 to node 8 with capacity 5,\nan edge from node 1 to node 3 with capacity 19,\nan edge from node 1 to node 11 with capacity 4,\nan edge from node 1 to node 0 with capacity 20,\nan edge from node 2 to node 12 with capacity 18,\nan edge from node 2 to node 5 with capacity 20,\nan edge from node 2 to node 6 with capacity 12,\nan edge from node 3 to node 8 with capacity 9,\nan edge from node 3 to node 7 with capacity 16,\nan edge from node 3 to node 5 with capacity 3,\nan edge from node 3 to node 0 with capacity 16,\nan edge from node 3 to node 6 with capacity 16,\nan edge from node 4 to node 8 with capacity 11,\nan edge from node 4 to node 11 with capacity 7,\nan edge from node 5 to node 12 with capacity 2,\nan edge from node 5 to node 4 with capacity 10,\nan edge from node 5 to node 6 with capacity 12,\nan edge from node 6 to node 10 with capacity 7,\nan edge from node 6 to node 8 with capacity 16,\nan edge from node 7 to node 9 with capacity 10,\nan edge from node 8 to node 1 with capacity 10,\nan edge from node 8 to node 7 with capacity 10,\nan edge from node 8 to node 5 with capacity 18,\nan edge from node 8 to node 11 with capacity 15,\nan edge from node 9 to node 4 with capacity 19,\nan edge from node 9 to node 5 with capacity 12,\nan edge from node 9 to node 0 with capacity 12,\nan edge from node 9 to node 6 with capacity 20,\nan edge from node 10 to node 11 with capacity 2,\nan edge from node 11 to node 12 with capacity 15,\nan edge from node 11 to node 7 with capacity 9,\nan edge from node 11 to node 0 with capacity 12,\nan edge from node 12 to node 3 with capacity 17,\nan edge from node 12 to node 11 with capacity 18,\nWhat is the maximum flow from node 9 to node 5:"
            },
            {
                "from": "gpt",
                "value": "33."
            }
        ]
    },
    {
        "id": "flow-hard-graph1190",
        "image": "data/flow/graph_visual/hard/graph1190.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 10 with capacity 20,\nan edge from node 0 to node 3 with capacity 17,\nan edge from node 0 to node 19 with capacity 16,\nan edge from node 0 to node 9 with capacity 19,\nan edge from node 0 to node 1 with capacity 9,\nan edge from node 0 to node 14 with capacity 3,\nan edge from node 0 to node 16 with capacity 20,\nan edge from node 0 to node 18 with capacity 6,\nan edge from node 0 to node 13 with capacity 16,\nan edge from node 1 to node 3 with capacity 10,\nan edge from node 1 to node 14 with capacity 14,\nan edge from node 1 to node 16 with capacity 6,\nan edge from node 1 to node 13 with capacity 14,\nan edge from node 1 to node 11 with capacity 14,\nan edge from node 1 to node 0 with capacity 17,\nan edge from node 2 to node 5 with capacity 6,\nan edge from node 2 to node 6 with capacity 3,\nan edge from node 2 to node 1 with capacity 7,\nan edge from node 2 to node 14 with capacity 18,\nan edge from node 2 to node 12 with capacity 19,\nan edge from node 3 to node 6 with capacity 6,\nan edge from node 3 to node 18 with capacity 4,\nan edge from node 3 to node 2 with capacity 20,\nan edge from node 3 to node 17 with capacity 11,\nan edge from node 3 to node 11 with capacity 18,\nan edge from node 4 to node 5 with capacity 13,\nan edge from node 4 to node 15 with capacity 2,\nan edge from node 4 to node 9 with capacity 14,\nan edge from node 4 to node 16 with capacity 18,\nan edge from node 4 to node 13 with capacity 11,\nan edge from node 5 to node 4 with capacity 17,\nan edge from node 5 to node 14 with capacity 5,\nan edge from node 5 to node 12 with capacity 14,\nan edge from node 5 to node 2 with capacity 3,\nan edge from node 5 to node 0 with capacity 18,\nan edge from node 6 to node 15 with capacity 4,\nan edge from node 6 to node 18 with capacity 17,\nan edge from node 7 to node 4 with capacity 6,\nan edge from node 7 to node 6 with capacity 13,\nan edge from node 7 to node 15 with capacity 18,\nan edge from node 7 to node 14 with capacity 3,\nan edge from node 7 to node 12 with capacity 20,\nan edge from node 7 to node 18 with capacity 14,\nan edge from node 8 to node 5 with capacity 13,\nan edge from node 8 to node 4 with capacity 17,\nan edge from node 8 to node 6 with capacity 9,\nan edge from node 8 to node 14 with capacity 11,\nan edge from node 8 to node 16 with capacity 13,\nan edge from node 8 to node 18 with capacity 17,\nan edge from node 8 to node 11 with capacity 3,\nan edge from node 9 to node 6 with capacity 8,\nan edge from node 9 to node 10 with capacity 12,\nan edge from node 9 to node 7 with capacity 8,\nan edge from node 9 to node 18 with capacity 15,\nan edge from node 9 to node 11 with capacity 15,\nan edge from node 10 to node 8 with capacity 13,\nan edge from node 10 to node 7 with capacity 7,\nan edge from node 10 to node 12 with capacity 3,\nan edge from node 10 to node 16 with capacity 11,\nan edge from node 10 to node 18 with capacity 14,\nan edge from node 11 to node 5 with capacity 9,\nan edge from node 11 to node 4 with capacity 15,\nan edge from node 11 to node 6 with capacity 13,\nan edge from node 11 to node 3 with capacity 1,\nan edge from node 11 to node 15 with capacity 19,\nan edge from node 11 to node 19 with capacity 17,\nan edge from node 11 to node 9 with capacity 9,\nan edge from node 11 to node 18 with capacity 12,\nan edge from node 11 to node 17 with capacity 20,\nan edge from node 12 to node 4 with capacity 12,\nan edge from node 12 to node 3 with capacity 7,\nan edge from node 12 to node 14 with capacity 7,\nan edge from node 12 to node 17 with capacity 1,\nan edge from node 13 to node 8 with capacity 5,\nan edge from node 13 to node 6 with capacity 15,\nan edge from node 13 to node 15 with capacity 11,\nan edge from node 13 to node 7 with capacity 17,\nan edge from node 13 to node 14 with capacity 16,\nan edge from node 13 to node 12 with capacity 7,\nan edge from node 14 to node 6 with capacity 15,\nan edge from node 14 to node 3 with capacity 15,\nan edge from node 14 to node 18 with capacity 11,\nan edge from node 14 to node 2 with capacity 19,\nan edge from node 15 to node 10 with capacity 3,\nan edge from node 15 to node 19 with capacity 19,\nan edge from node 15 to node 18 with capacity 1,\nan edge from node 15 to node 17 with capacity 11,\nan edge from node 16 to node 19 with capacity 18,\nan edge from node 16 to node 9 with capacity 16,\nan edge from node 16 to node 18 with capacity 8,\nan edge from node 16 to node 13 with capacity 5,\nan edge from node 16 to node 11 with capacity 7,\nan edge from node 17 to node 5 with capacity 17,\nan edge from node 17 to node 19 with capacity 20,\nan edge from node 17 to node 1 with capacity 16,\nan edge from node 17 to node 14 with capacity 12,\nan edge from node 17 to node 16 with capacity 16,\nan edge from node 17 to node 2 with capacity 20,\nan edge from node 17 to node 0 with capacity 14,\nan edge from node 18 to node 8 with capacity 6,\nan edge from node 18 to node 10 with capacity 17,\nan edge from node 18 to node 13 with capacity 13,\nan edge from node 19 to node 8 with capacity 19,\nan edge from node 19 to node 4 with capacity 13,\nan edge from node 19 to node 10 with capacity 12,\nan edge from node 19 to node 3 with capacity 17,\nan edge from node 19 to node 15 with capacity 2,\nan edge from node 19 to node 16 with capacity 19,\nan edge from node 19 to node 18 with capacity 14,\nan edge from node 19 to node 11 with capacity 4,\nWhat is the maximum flow from node 18 to node 0:"
            },
            {
                "from": "gpt",
                "value": "36."
            }
        ]
    },
    {
        "id": "flow-hard-graph61",
        "image": "data/flow/graph_visual/hard/graph61.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 7 with capacity 10,\nan edge from node 0 to node 3 with capacity 4,\nan edge from node 0 to node 6 with capacity 1,\nan edge from node 0 to node 4 with capacity 8,\nan edge from node 1 to node 9 with capacity 18,\nan edge from node 1 to node 4 with capacity 16,\nan edge from node 2 to node 5 with capacity 9,\nan edge from node 2 to node 0 with capacity 2,\nan edge from node 2 to node 8 with capacity 20,\nan edge from node 2 to node 4 with capacity 8,\nan edge from node 3 to node 7 with capacity 1,\nan edge from node 3 to node 6 with capacity 10,\nan edge from node 5 to node 0 with capacity 14,\nan edge from node 5 to node 4 with capacity 17,\nan edge from node 6 to node 0 with capacity 16,\nan edge from node 6 to node 8 with capacity 20,\nan edge from node 6 to node 3 with capacity 4,\nan edge from node 7 to node 1 with capacity 5,\nan edge from node 7 to node 4 with capacity 13,\nan edge from node 8 to node 3 with capacity 1,\nan edge from node 8 to node 6 with capacity 9,\nan edge from node 8 to node 4 with capacity 12,\nan edge from node 8 to node 2 with capacity 10,\nan edge from node 9 to node 0 with capacity 15,\nan edge from node 9 to node 8 with capacity 4,\nan edge from node 9 to node 6 with capacity 4,\nan edge from node 10 to node 7 with capacity 17,\nan edge from node 10 to node 6 with capacity 10,\nan edge from node 10 to node 4 with capacity 11,\nWhat is the maximum flow from node 6 to node 8:"
            },
            {
                "from": "gpt",
                "value": "24."
            }
        ]
    },
    {
        "id": "flow-hard-graph457",
        "image": "data/flow/graph_visual/hard/graph457.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 1 to node 12 with capacity 17,\nan edge from node 1 to node 8 with capacity 10,\nan edge from node 2 to node 4 with capacity 16,\nan edge from node 2 to node 9 with capacity 12,\nan edge from node 2 to node 0 with capacity 20,\nan edge from node 3 to node 7 with capacity 17,\nan edge from node 3 to node 1 with capacity 19,\nan edge from node 3 to node 11 with capacity 8,\nan edge from node 4 to node 6 with capacity 20,\nan edge from node 4 to node 3 with capacity 13,\nan edge from node 5 to node 4 with capacity 10,\nan edge from node 5 to node 9 with capacity 8,\nan edge from node 5 to node 10 with capacity 13,\nan edge from node 6 to node 7 with capacity 13,\nan edge from node 6 to node 9 with capacity 10,\nan edge from node 6 to node 0 with capacity 17,\nan edge from node 6 to node 3 with capacity 13,\nan edge from node 6 to node 5 with capacity 6,\nan edge from node 7 to node 3 with capacity 1,\nan edge from node 7 to node 10 with capacity 9,\nan edge from node 8 to node 12 with capacity 16,\nan edge from node 9 to node 8 with capacity 14,\nan edge from node 9 to node 6 with capacity 6,\nan edge from node 9 to node 11 with capacity 11,\nan edge from node 10 to node 2 with capacity 6,\nan edge from node 10 to node 4 with capacity 1,\nan edge from node 10 to node 1 with capacity 11,\nan edge from node 11 to node 9 with capacity 7,\nan edge from node 11 to node 6 with capacity 11,\nan edge from node 11 to node 1 with capacity 12,\nan edge from node 12 to node 7 with capacity 17,\nan edge from node 12 to node 6 with capacity 15,\nan edge from node 12 to node 11 with capacity 12,\nan edge from node 13 to node 10 with capacity 1,\nWhat is the maximum flow from node 11 to node 0:"
            },
            {
                "from": "gpt",
                "value": "23."
            }
        ]
    },
    {
        "id": "flow-hard-graph628",
        "image": "data/flow/graph_visual/hard/graph628.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 7 with capacity 6,\nan edge from node 0 to node 14 with capacity 16,\nan edge from node 0 to node 11 with capacity 6,\nan edge from node 0 to node 5 with capacity 10,\nan edge from node 1 to node 6 with capacity 3,\nan edge from node 1 to node 5 with capacity 17,\nan edge from node 2 to node 7 with capacity 5,\nan edge from node 2 to node 14 with capacity 4,\nan edge from node 2 to node 8 with capacity 14,\nan edge from node 2 to node 15 with capacity 11,\nan edge from node 3 to node 6 with capacity 13,\nan edge from node 3 to node 10 with capacity 13,\nan edge from node 3 to node 1 with capacity 19,\nan edge from node 3 to node 11 with capacity 2,\nan edge from node 3 to node 2 with capacity 18,\nan edge from node 4 to node 6 with capacity 19,\nan edge from node 4 to node 0 with capacity 1,\nan edge from node 4 to node 1 with capacity 16,\nan edge from node 4 to node 2 with capacity 14,\nan edge from node 4 to node 15 with capacity 13,\nan edge from node 5 to node 10 with capacity 17,\nan edge from node 5 to node 1 with capacity 19,\nan edge from node 5 to node 2 with capacity 9,\nan edge from node 6 to node 7 with capacity 2,\nan edge from node 6 to node 14 with capacity 5,\nan edge from node 6 to node 3 with capacity 15,\nan edge from node 6 to node 10 with capacity 5,\nan edge from node 6 to node 11 with capacity 13,\nan edge from node 6 to node 5 with capacity 1,\nan edge from node 6 to node 9 with capacity 8,\nan edge from node 6 to node 15 with capacity 2,\nan edge from node 7 to node 6 with capacity 19,\nan edge from node 7 to node 12 with capacity 2,\nan edge from node 7 to node 1 with capacity 5,\nan edge from node 7 to node 15 with capacity 13,\nan edge from node 8 to node 7 with capacity 16,\nan edge from node 8 to node 3 with capacity 16,\nan edge from node 8 to node 0 with capacity 12,\nan edge from node 8 to node 2 with capacity 20,\nan edge from node 9 to node 15 with capacity 9,\nan edge from node 10 to node 12 with capacity 16,\nan edge from node 10 to node 0 with capacity 20,\nan edge from node 10 to node 4 with capacity 4,\nan edge from node 11 to node 5 with capacity 3,\nan edge from node 11 to node 15 with capacity 14,\nan edge from node 11 to node 4 with capacity 17,\nan edge from node 12 to node 5 with capacity 20,\nan edge from node 12 to node 2 with capacity 12,\nan edge from node 13 to node 6 with capacity 10,\nan edge from node 13 to node 8 with capacity 2,\nan edge from node 13 to node 15 with capacity 1,\nan edge from node 14 to node 10 with capacity 5,\nan edge from node 14 to node 2 with capacity 14,\nan edge from node 14 to node 4 with capacity 2,\nan edge from node 15 to node 7 with capacity 19,\nan edge from node 15 to node 3 with capacity 18,\nan edge from node 15 to node 10 with capacity 8,\nan edge from node 15 to node 11 with capacity 17,\nan edge from node 15 to node 13 with capacity 20,\nWhat is the maximum flow from node 10 to node 8:"
            },
            {
                "from": "gpt",
                "value": "16."
            }
        ]
    },
    {
        "id": "flow-hard-graph1128",
        "image": "data/flow/graph_visual/hard/graph1128.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 19 with capacity 6,\nan edge from node 0 to node 5 with capacity 13,\nan edge from node 0 to node 3 with capacity 6,\nan edge from node 0 to node 4 with capacity 4,\nan edge from node 1 to node 0 with capacity 12,\nan edge from node 1 to node 16 with capacity 16,\nan edge from node 1 to node 7 with capacity 16,\nan edge from node 2 to node 17 with capacity 7,\nan edge from node 2 to node 19 with capacity 11,\nan edge from node 2 to node 14 with capacity 6,\nan edge from node 2 to node 18 with capacity 3,\nan edge from node 2 to node 9 with capacity 4,\nan edge from node 3 to node 0 with capacity 10,\nan edge from node 3 to node 19 with capacity 15,\nan edge from node 3 to node 5 with capacity 5,\nan edge from node 4 to node 17 with capacity 9,\nan edge from node 4 to node 5 with capacity 6,\nan edge from node 4 to node 18 with capacity 2,\nan edge from node 5 to node 2 with capacity 7,\nan edge from node 5 to node 16 with capacity 20,\nan edge from node 5 to node 8 with capacity 16,\nan edge from node 5 to node 12 with capacity 15,\nan edge from node 5 to node 13 with capacity 12,\nan edge from node 5 to node 4 with capacity 5,\nan edge from node 6 to node 17 with capacity 13,\nan edge from node 6 to node 16 with capacity 1,\nan edge from node 6 to node 7 with capacity 17,\nan edge from node 6 to node 18 with capacity 13,\nan edge from node 6 to node 9 with capacity 9,\nan edge from node 7 to node 8 with capacity 17,\nan edge from node 7 to node 15 with capacity 1,\nan edge from node 7 to node 18 with capacity 15,\nan edge from node 8 to node 2 with capacity 4,\nan edge from node 8 to node 10 with capacity 8,\nan edge from node 8 to node 6 with capacity 14,\nan edge from node 8 to node 9 with capacity 18,\nan edge from node 9 to node 5 with capacity 8,\nan edge from node 9 to node 3 with capacity 2,\nan edge from node 9 to node 12 with capacity 13,\nan edge from node 9 to node 11 with capacity 6,\nan edge from node 9 to node 14 with capacity 10,\nan edge from node 9 to node 18 with capacity 8,\nan edge from node 9 to node 1 with capacity 11,\nan edge from node 10 to node 17 with capacity 10,\nan edge from node 10 to node 19 with capacity 3,\nan edge from node 10 to node 8 with capacity 9,\nan edge from node 10 to node 3 with capacity 9,\nan edge from node 10 to node 12 with capacity 2,\nan edge from node 10 to node 6 with capacity 16,\nan edge from node 10 to node 9 with capacity 9,\nan edge from node 11 to node 0 with capacity 10,\nan edge from node 11 to node 2 with capacity 20,\nan edge from node 11 to node 16 with capacity 14,\nan edge from node 11 to node 5 with capacity 10,\nan edge from node 12 to node 3 with capacity 3,\nan edge from node 12 to node 10 with capacity 17,\nan edge from node 13 to node 3 with capacity 13,\nan edge from node 13 to node 11 with capacity 18,\nan edge from node 14 to node 0 with capacity 14,\nan edge from node 14 to node 2 with capacity 2,\nan edge from node 14 to node 12 with capacity 12,\nan edge from node 14 to node 7 with capacity 17,\nan edge from node 14 to node 11 with capacity 20,\nan edge from node 14 to node 1 with capacity 19,\nan edge from node 15 to node 17 with capacity 16,\nan edge from node 15 to node 16 with capacity 20,\nan edge from node 15 to node 19 with capacity 17,\nan edge from node 15 to node 6 with capacity 4,\nan edge from node 15 to node 9 with capacity 6,\nan edge from node 16 to node 19 with capacity 8,\nan edge from node 16 to node 11 with capacity 3,\nan edge from node 16 to node 13 with capacity 11,\nan edge from node 16 to node 18 with capacity 12,\nan edge from node 16 to node 9 with capacity 18,\nan edge from node 17 to node 1 with capacity 3,\nan edge from node 18 to node 10 with capacity 13,\nan edge from node 18 to node 6 with capacity 10,\nan edge from node 18 to node 11 with capacity 18,\nan edge from node 18 to node 14 with capacity 14,\nan edge from node 18 to node 4 with capacity 15,\nan edge from node 18 to node 9 with capacity 9,\nan edge from node 19 to node 7 with capacity 5,\nan edge from node 19 to node 15 with capacity 6,\nan edge from node 19 to node 6 with capacity 13,\nan edge from node 19 to node 4 with capacity 4,\nWhat is the maximum flow from node 9 to node 18:"
            },
            {
                "from": "gpt",
                "value": "53."
            }
        ]
    },
    {
        "id": "flow-hard-graph395",
        "image": "data/flow/graph_visual/hard/graph395.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 3 with capacity 9,\nan edge from node 0 to node 8 with capacity 2,\nan edge from node 0 to node 13 with capacity 18,\nan edge from node 0 to node 12 with capacity 9,\nan edge from node 0 to node 1 with capacity 5,\nan edge from node 1 to node 9 with capacity 17,\nan edge from node 1 to node 6 with capacity 10,\nan edge from node 1 to node 4 with capacity 18,\nan edge from node 2 to node 11 with capacity 6,\nan edge from node 2 to node 0 with capacity 4,\nan edge from node 2 to node 5 with capacity 16,\nan edge from node 2 to node 13 with capacity 16,\nan edge from node 3 to node 5 with capacity 7,\nan edge from node 3 to node 4 with capacity 2,\nan edge from node 4 to node 6 with capacity 10,\nan edge from node 4 to node 0 with capacity 16,\nan edge from node 4 to node 8 with capacity 18,\nan edge from node 4 to node 13 with capacity 14,\nan edge from node 4 to node 10 with capacity 15,\nan edge from node 5 to node 2 with capacity 1,\nan edge from node 5 to node 9 with capacity 6,\nan edge from node 5 to node 13 with capacity 4,\nan edge from node 5 to node 12 with capacity 10,\nan edge from node 5 to node 1 with capacity 12,\nan edge from node 6 to node 11 with capacity 5,\nan edge from node 6 to node 3 with capacity 6,\nan edge from node 6 to node 12 with capacity 14,\nan edge from node 6 to node 1 with capacity 1,\nan edge from node 6 to node 10 with capacity 12,\nan edge from node 7 to node 6 with capacity 19,\nan edge from node 7 to node 13 with capacity 4,\nan edge from node 7 to node 4 with capacity 17,\nan edge from node 7 to node 10 with capacity 13,\nan edge from node 8 to node 9 with capacity 7,\nan edge from node 8 to node 7 with capacity 4,\nan edge from node 8 to node 13 with capacity 17,\nan edge from node 8 to node 12 with capacity 16,\nan edge from node 8 to node 4 with capacity 11,\nan edge from node 9 to node 11 with capacity 13,\nan edge from node 9 to node 2 with capacity 18,\nan edge from node 9 to node 8 with capacity 3,\nan edge from node 9 to node 1 with capacity 5,\nan edge from node 10 to node 0 with capacity 9,\nan edge from node 10 to node 8 with capacity 9,\nan edge from node 10 to node 12 with capacity 6,\nan edge from node 11 to node 3 with capacity 11,\nan edge from node 11 to node 1 with capacity 16,\nan edge from node 12 to node 3 with capacity 17,\nan edge from node 12 to node 9 with capacity 4,\nan edge from node 12 to node 4 with capacity 8,\nan edge from node 13 to node 2 with capacity 5,\nan edge from node 13 to node 9 with capacity 3,\nan edge from node 13 to node 8 with capacity 17,\nan edge from node 13 to node 1 with capacity 18,\nan edge from node 13 to node 10 with capacity 16,\nWhat is the maximum flow from node 4 to node 5:"
            },
            {
                "from": "gpt",
                "value": "23."
            }
        ]
    },
    {
        "id": "flow-hard-graph1153",
        "image": "data/flow/graph_visual/hard/graph1153.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 6 with capacity 7,\nan edge from node 0 to node 16 with capacity 1,\nan edge from node 0 to node 19 with capacity 13,\nan edge from node 0 to node 2 with capacity 17,\nan edge from node 0 to node 4 with capacity 8,\nan edge from node 1 to node 5 with capacity 15,\nan edge from node 1 to node 17 with capacity 20,\nan edge from node 1 to node 11 with capacity 18,\nan edge from node 1 to node 13 with capacity 9,\nan edge from node 2 to node 16 with capacity 15,\nan edge from node 2 to node 3 with capacity 9,\nan edge from node 2 to node 4 with capacity 16,\nan edge from node 2 to node 14 with capacity 19,\nan edge from node 3 to node 5 with capacity 17,\nan edge from node 3 to node 7 with capacity 6,\nan edge from node 3 to node 15 with capacity 7,\nan edge from node 3 to node 1 with capacity 19,\nan edge from node 3 to node 0 with capacity 12,\nan edge from node 3 to node 10 with capacity 8,\nan edge from node 3 to node 13 with capacity 2,\nan edge from node 4 to node 7 with capacity 16,\nan edge from node 4 to node 6 with capacity 7,\nan edge from node 4 to node 16 with capacity 19,\nan edge from node 4 to node 18 with capacity 12,\nan edge from node 4 to node 2 with capacity 12,\nan edge from node 4 to node 3 with capacity 18,\nan edge from node 5 to node 15 with capacity 20,\nan edge from node 5 to node 11 with capacity 15,\nan edge from node 5 to node 19 with capacity 18,\nan edge from node 5 to node 18 with capacity 15,\nan edge from node 5 to node 1 with capacity 11,\nan edge from node 6 to node 16 with capacity 19,\nan edge from node 6 to node 3 with capacity 12,\nan edge from node 6 to node 9 with capacity 9,\nan edge from node 7 to node 5 with capacity 8,\nan edge from node 7 to node 15 with capacity 6,\nan edge from node 7 to node 4 with capacity 16,\nan edge from node 7 to node 14 with capacity 1,\nan edge from node 8 to node 7 with capacity 7,\nan edge from node 8 to node 17 with capacity 15,\nan edge from node 8 to node 15 with capacity 16,\nan edge from node 8 to node 6 with capacity 9,\nan edge from node 8 to node 2 with capacity 1,\nan edge from node 9 to node 15 with capacity 3,\nan edge from node 9 to node 11 with capacity 16,\nan edge from node 9 to node 12 with capacity 18,\nan edge from node 9 to node 16 with capacity 14,\nan edge from node 10 to node 5 with capacity 4,\nan edge from node 10 to node 17 with capacity 3,\nan edge from node 10 to node 6 with capacity 8,\nan edge from node 10 to node 12 with capacity 12,\nan edge from node 10 to node 2 with capacity 18,\nan edge from node 10 to node 13 with capacity 13,\nan edge from node 11 to node 12 with capacity 9,\nan edge from node 11 to node 16 with capacity 4,\nan edge from node 11 to node 1 with capacity 17,\nan edge from node 11 to node 10 with capacity 6,\nan edge from node 12 to node 7 with capacity 8,\nan edge from node 12 to node 15 with capacity 20,\nan edge from node 12 to node 11 with capacity 1,\nan edge from node 12 to node 1 with capacity 11,\nan edge from node 12 to node 0 with capacity 19,\nan edge from node 13 to node 16 with capacity 15,\nan edge from node 13 to node 19 with capacity 16,\nan edge from node 13 to node 3 with capacity 5,\nan edge from node 13 to node 1 with capacity 10,\nan edge from node 13 to node 0 with capacity 18,\nan edge from node 13 to node 10 with capacity 18,\nan edge from node 14 to node 15 with capacity 15,\nan edge from node 14 to node 9 with capacity 7,\nan edge from node 14 to node 1 with capacity 8,\nan edge from node 15 to node 7 with capacity 2,\nan edge from node 16 to node 15 with capacity 7,\nan edge from node 16 to node 12 with capacity 14,\nan edge from node 16 to node 3 with capacity 8,\nan edge from node 16 to node 4 with capacity 18,\nan edge from node 16 to node 8 with capacity 7,\nan edge from node 17 to node 7 with capacity 2,\nan edge from node 17 to node 16 with capacity 18,\nan edge from node 17 to node 2 with capacity 6,\nan edge from node 17 to node 3 with capacity 15,\nan edge from node 17 to node 8 with capacity 12,\nan edge from node 17 to node 0 with capacity 7,\nan edge from node 17 to node 10 with capacity 14,\nan edge from node 19 to node 5 with capacity 18,\nan edge from node 19 to node 17 with capacity 11,\nan edge from node 19 to node 18 with capacity 19,\nan edge from node 19 to node 10 with capacity 20,\nan edge from node 19 to node 13 with capacity 6,\nWhat is the maximum flow from node 1 to node 16:"
            },
            {
                "from": "gpt",
                "value": "62."
            }
        ]
    },
    {
        "id": "flow-hard-graph516",
        "image": "data/flow/graph_visual/hard/graph516.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 14 with capacity 3,\nan edge from node 0 to node 6 with capacity 20,\nan edge from node 0 to node 1 with capacity 19,\nan edge from node 0 to node 7 with capacity 14,\nan edge from node 1 to node 9 with capacity 14,\nan edge from node 1 to node 12 with capacity 10,\nan edge from node 2 to node 14 with capacity 7,\nan edge from node 2 to node 13 with capacity 18,\nan edge from node 2 to node 10 with capacity 6,\nan edge from node 2 to node 3 with capacity 4,\nan edge from node 2 to node 7 with capacity 14,\nan edge from node 3 to node 0 with capacity 13,\nan edge from node 3 to node 4 with capacity 7,\nan edge from node 3 to node 6 with capacity 13,\nan edge from node 3 to node 7 with capacity 3,\nan edge from node 4 to node 10 with capacity 20,\nan edge from node 4 to node 5 with capacity 10,\nan edge from node 4 to node 12 with capacity 7,\nan edge from node 4 to node 7 with capacity 15,\nan edge from node 5 to node 10 with capacity 13,\nan edge from node 5 to node 4 with capacity 18,\nan edge from node 5 to node 11 with capacity 12,\nan edge from node 6 to node 10 with capacity 13,\nan edge from node 6 to node 4 with capacity 12,\nan edge from node 6 to node 11 with capacity 20,\nan edge from node 6 to node 7 with capacity 18,\nan edge from node 7 to node 13 with capacity 16,\nan edge from node 7 to node 0 with capacity 11,\nan edge from node 7 to node 6 with capacity 8,\nan edge from node 8 to node 0 with capacity 4,\nan edge from node 8 to node 2 with capacity 12,\nan edge from node 8 to node 6 with capacity 3,\nan edge from node 9 to node 10 with capacity 5,\nan edge from node 9 to node 4 with capacity 5,\nan edge from node 9 to node 6 with capacity 16,\nan edge from node 10 to node 13 with capacity 3,\nan edge from node 10 to node 5 with capacity 16,\nan edge from node 10 to node 1 with capacity 3,\nan edge from node 11 to node 14 with capacity 9,\nan edge from node 11 to node 4 with capacity 12,\nan edge from node 12 to node 9 with capacity 14,\nan edge from node 13 to node 0 with capacity 1,\nan edge from node 13 to node 8 with capacity 5,\nan edge from node 13 to node 12 with capacity 18,\nan edge from node 13 to node 1 with capacity 18,\nan edge from node 13 to node 7 with capacity 10,\nan edge from node 14 to node 10 with capacity 2,\nan edge from node 14 to node 2 with capacity 8,\nan edge from node 14 to node 5 with capacity 20,\nan edge from node 14 to node 3 with capacity 20,\nan edge from node 14 to node 7 with capacity 11,\nWhat is the maximum flow from node 5 to node 12:"
            },
            {
                "from": "gpt",
                "value": "35."
            }
        ]
    },
    {
        "id": "flow-hard-graph1023",
        "image": "data/flow/graph_visual/hard/graph1023.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 9 with capacity 20,\nan edge from node 0 to node 6 with capacity 1,\nan edge from node 0 to node 4 with capacity 19,\nan edge from node 0 to node 5 with capacity 1,\nan edge from node 0 to node 16 with capacity 10,\nan edge from node 0 to node 12 with capacity 6,\nan edge from node 0 to node 14 with capacity 18,\nan edge from node 0 to node 13 with capacity 18,\nan edge from node 1 to node 2 with capacity 17,\nan edge from node 1 to node 0 with capacity 4,\nan edge from node 1 to node 15 with capacity 10,\nan edge from node 2 to node 6 with capacity 8,\nan edge from node 3 to node 2 with capacity 9,\nan edge from node 3 to node 15 with capacity 13,\nan edge from node 3 to node 17 with capacity 6,\nan edge from node 3 to node 16 with capacity 6,\nan edge from node 4 to node 0 with capacity 9,\nan edge from node 4 to node 8 with capacity 9,\nan edge from node 4 to node 10 with capacity 2,\nan edge from node 5 to node 11 with capacity 16,\nan edge from node 5 to node 15 with capacity 9,\nan edge from node 6 to node 7 with capacity 4,\nan edge from node 6 to node 0 with capacity 15,\nan edge from node 6 to node 15 with capacity 20,\nan edge from node 6 to node 12 with capacity 15,\nan edge from node 7 to node 11 with capacity 7,\nan edge from node 7 to node 12 with capacity 10,\nan edge from node 7 to node 1 with capacity 20,\nan edge from node 8 to node 4 with capacity 2,\nan edge from node 8 to node 3 with capacity 20,\nan edge from node 8 to node 1 with capacity 3,\nan edge from node 8 to node 10 with capacity 10,\nan edge from node 9 to node 4 with capacity 3,\nan edge from node 10 to node 9 with capacity 6,\nan edge from node 10 to node 0 with capacity 19,\nan edge from node 10 to node 3 with capacity 5,\nan edge from node 10 to node 5 with capacity 3,\nan edge from node 10 to node 8 with capacity 17,\nan edge from node 10 to node 14 with capacity 10,\nan edge from node 11 to node 6 with capacity 4,\nan edge from node 11 to node 2 with capacity 20,\nan edge from node 11 to node 15 with capacity 18,\nan edge from node 11 to node 3 with capacity 2,\nan edge from node 12 to node 11 with capacity 12,\nan edge from node 12 to node 7 with capacity 10,\nan edge from node 12 to node 17 with capacity 17,\nan edge from node 12 to node 3 with capacity 17,\nan edge from node 12 to node 16 with capacity 6,\nan edge from node 13 to node 7 with capacity 18,\nan edge from node 13 to node 17 with capacity 9,\nan edge from node 13 to node 3 with capacity 6,\nan edge from node 13 to node 8 with capacity 5,\nan edge from node 14 to node 2 with capacity 16,\nan edge from node 14 to node 7 with capacity 19,\nan edge from node 14 to node 4 with capacity 11,\nan edge from node 14 to node 3 with capacity 10,\nan edge from node 14 to node 5 with capacity 5,\nan edge from node 15 to node 9 with capacity 7,\nan edge from node 15 to node 11 with capacity 11,\nan edge from node 15 to node 0 with capacity 18,\nan edge from node 15 to node 4 with capacity 5,\nan edge from node 15 to node 3 with capacity 17,\nan edge from node 15 to node 5 with capacity 3,\nan edge from node 15 to node 16 with capacity 7,\nan edge from node 15 to node 18 with capacity 19,\nan edge from node 15 to node 10 with capacity 7,\nan edge from node 15 to node 14 with capacity 13,\nan edge from node 16 to node 2 with capacity 15,\nan edge from node 16 to node 0 with capacity 1,\nan edge from node 16 to node 5 with capacity 17,\nan edge from node 16 to node 12 with capacity 5,\nan edge from node 16 to node 8 with capacity 9,\nan edge from node 17 to node 4 with capacity 8,\nan edge from node 18 to node 4 with capacity 17,\nWhat is the maximum flow from node 2 to node 9:"
            },
            {
                "from": "gpt",
                "value": "8."
            }
        ]
    },
    {
        "id": "flow-hard-graph156",
        "image": "data/flow/graph_visual/hard/graph156.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 7 with capacity 3,\nan edge from node 0 to node 10 with capacity 19,\nan edge from node 0 to node 3 with capacity 10,\nan edge from node 0 to node 5 with capacity 20,\nan edge from node 1 to node 7 with capacity 19,\nan edge from node 1 to node 11 with capacity 1,\nan edge from node 2 to node 7 with capacity 6,\nan edge from node 2 to node 9 with capacity 14,\nan edge from node 2 to node 5 with capacity 10,\nan edge from node 3 to node 2 with capacity 19,\nan edge from node 3 to node 7 with capacity 15,\nan edge from node 3 to node 10 with capacity 16,\nan edge from node 4 to node 5 with capacity 11,\nan edge from node 5 to node 2 with capacity 11,\nan edge from node 5 to node 3 with capacity 4,\nan edge from node 5 to node 4 with capacity 12,\nan edge from node 6 to node 2 with capacity 2,\nan edge from node 7 to node 2 with capacity 17,\nan edge from node 7 to node 6 with capacity 13,\nan edge from node 7 to node 9 with capacity 2,\nan edge from node 7 to node 0 with capacity 3,\nan edge from node 8 to node 2 with capacity 8,\nan edge from node 8 to node 6 with capacity 15,\nan edge from node 8 to node 0 with capacity 12,\nan edge from node 9 to node 4 with capacity 5,\nan edge from node 10 to node 2 with capacity 5,\nan edge from node 10 to node 3 with capacity 11,\nan edge from node 11 to node 10 with capacity 11,\nan edge from node 11 to node 1 with capacity 16,\nan edge from node 11 to node 5 with capacity 18,\nan edge from node 11 to node 0 with capacity 20,\nWhat is the maximum flow from node 10 to node 5:"
            },
            {
                "from": "gpt",
                "value": "16."
            }
        ]
    },
    {
        "id": "flow-hard-graph1084",
        "image": "data/flow/graph_visual/hard/graph1084.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 2 with capacity 11,\nan edge from node 0 to node 18 with capacity 6,\nan edge from node 0 to node 15 with capacity 9,\nan edge from node 0 to node 17 with capacity 3,\nan edge from node 1 to node 7 with capacity 14,\nan edge from node 1 to node 15 with capacity 3,\nan edge from node 1 to node 12 with capacity 2,\nan edge from node 1 to node 10 with capacity 12,\nan edge from node 2 to node 5 with capacity 7,\nan edge from node 2 to node 6 with capacity 17,\nan edge from node 2 to node 15 with capacity 4,\nan edge from node 2 to node 14 with capacity 5,\nan edge from node 2 to node 13 with capacity 12,\nan edge from node 3 to node 6 with capacity 18,\nan edge from node 3 to node 0 with capacity 14,\nan edge from node 3 to node 15 with capacity 10,\nan edge from node 3 to node 16 with capacity 14,\nan edge from node 3 to node 17 with capacity 7,\nan edge from node 4 to node 7 with capacity 3,\nan edge from node 4 to node 5 with capacity 11,\nan edge from node 4 to node 2 with capacity 11,\nan edge from node 4 to node 18 with capacity 4,\nan edge from node 4 to node 15 with capacity 4,\nan edge from node 4 to node 13 with capacity 3,\nan edge from node 4 to node 16 with capacity 15,\nan edge from node 4 to node 17 with capacity 20,\nan edge from node 5 to node 11 with capacity 15,\nan edge from node 6 to node 7 with capacity 20,\nan edge from node 6 to node 2 with capacity 3,\nan edge from node 6 to node 19 with capacity 19,\nan edge from node 6 to node 18 with capacity 18,\nan edge from node 6 to node 0 with capacity 19,\nan edge from node 6 to node 14 with capacity 5,\nan edge from node 6 to node 12 with capacity 16,\nan edge from node 6 to node 10 with capacity 8,\nan edge from node 6 to node 17 with capacity 2,\nan edge from node 7 to node 6 with capacity 2,\nan edge from node 7 to node 15 with capacity 2,\nan edge from node 7 to node 10 with capacity 2,\nan edge from node 7 to node 9 with capacity 6,\nan edge from node 8 to node 11 with capacity 18,\nan edge from node 8 to node 13 with capacity 5,\nan edge from node 8 to node 9 with capacity 7,\nan edge from node 9 to node 19 with capacity 18,\nan edge from node 9 to node 18 with capacity 2,\nan edge from node 9 to node 11 with capacity 9,\nan edge from node 9 to node 15 with capacity 14,\nan edge from node 10 to node 7 with capacity 6,\nan edge from node 10 to node 19 with capacity 2,\nan edge from node 10 to node 0 with capacity 16,\nan edge from node 10 to node 15 with capacity 7,\nan edge from node 10 to node 8 with capacity 4,\nan edge from node 10 to node 1 with capacity 10,\nan edge from node 11 to node 0 with capacity 15,\nan edge from node 11 to node 16 with capacity 5,\nan edge from node 11 to node 9 with capacity 19,\nan edge from node 12 to node 2 with capacity 13,\nan edge from node 12 to node 19 with capacity 17,\nan edge from node 12 to node 18 with capacity 2,\nan edge from node 13 to node 5 with capacity 19,\nan edge from node 13 to node 6 with capacity 15,\nan edge from node 13 to node 11 with capacity 7,\nan edge from node 13 to node 0 with capacity 20,\nan edge from node 13 to node 3 with capacity 18,\nan edge from node 13 to node 10 with capacity 16,\nan edge from node 14 to node 2 with capacity 8,\nan edge from node 14 to node 15 with capacity 1,\nan edge from node 14 to node 1 with capacity 16,\nan edge from node 15 to node 7 with capacity 15,\nan edge from node 15 to node 2 with capacity 1,\nan edge from node 15 to node 6 with capacity 16,\nan edge from node 15 to node 3 with capacity 18,\nan edge from node 15 to node 17 with capacity 9,\nan edge from node 16 to node 7 with capacity 12,\nan edge from node 16 to node 6 with capacity 19,\nan edge from node 16 to node 18 with capacity 16,\nan edge from node 16 to node 12 with capacity 7,\nan edge from node 17 to node 0 with capacity 10,\nan edge from node 17 to node 10 with capacity 3,\nan edge from node 18 to node 7 with capacity 11,\nan edge from node 18 to node 5 with capacity 16,\nan edge from node 18 to node 4 with capacity 15,\nan edge from node 18 to node 2 with capacity 18,\nan edge from node 18 to node 13 with capacity 18,\nan edge from node 18 to node 3 with capacity 19,\nan edge from node 19 to node 7 with capacity 16,\nan edge from node 19 to node 0 with capacity 20,\nan edge from node 19 to node 10 with capacity 11,\nan edge from node 19 to node 1 with capacity 11,\nWhat is the maximum flow from node 4 to node 15:"
            },
            {
                "from": "gpt",
                "value": "54."
            }
        ]
    },
    {
        "id": "flow-hard-graph738",
        "image": "data/flow/graph_visual/hard/graph738.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 16 with capacity 2,\nan edge from node 0 to node 15 with capacity 10,\nan edge from node 0 to node 8 with capacity 10,\nan edge from node 1 to node 16 with capacity 2,\nan edge from node 1 to node 14 with capacity 1,\nan edge from node 1 to node 2 with capacity 11,\nan edge from node 1 to node 11 with capacity 19,\nan edge from node 1 to node 12 with capacity 3,\nan edge from node 1 to node 4 with capacity 18,\nan edge from node 2 to node 10 with capacity 14,\nan edge from node 2 to node 9 with capacity 10,\nan edge from node 2 to node 4 with capacity 4,\nan edge from node 3 to node 5 with capacity 13,\nan edge from node 3 to node 11 with capacity 12,\nan edge from node 3 to node 0 with capacity 7,\nan edge from node 3 to node 15 with capacity 6,\nan edge from node 3 to node 12 with capacity 18,\nan edge from node 4 to node 2 with capacity 16,\nan edge from node 4 to node 15 with capacity 18,\nan edge from node 5 to node 7 with capacity 2,\nan edge from node 5 to node 16 with capacity 20,\nan edge from node 5 to node 12 with capacity 7,\nan edge from node 6 to node 7 with capacity 15,\nan edge from node 6 to node 3 with capacity 10,\nan edge from node 7 to node 10 with capacity 7,\nan edge from node 7 to node 6 with capacity 6,\nan edge from node 8 to node 7 with capacity 3,\nan edge from node 8 to node 14 with capacity 11,\nan edge from node 8 to node 9 with capacity 4,\nan edge from node 8 to node 2 with capacity 10,\nan edge from node 8 to node 1 with capacity 12,\nan edge from node 9 to node 8 with capacity 5,\nan edge from node 10 to node 5 with capacity 17,\nan edge from node 10 to node 13 with capacity 1,\nan edge from node 10 to node 12 with capacity 10,\nan edge from node 10 to node 1 with capacity 4,\nan edge from node 11 to node 5 with capacity 15,\nan edge from node 11 to node 2 with capacity 12,\nan edge from node 11 to node 1 with capacity 18,\nan edge from node 12 to node 7 with capacity 12,\nan edge from node 12 to node 10 with capacity 8,\nan edge from node 12 to node 5 with capacity 4,\nan edge from node 12 to node 9 with capacity 17,\nan edge from node 12 to node 0 with capacity 20,\nan edge from node 12 to node 8 with capacity 17,\nan edge from node 12 to node 4 with capacity 17,\nan edge from node 13 to node 3 with capacity 9,\nan edge from node 13 to node 2 with capacity 13,\nan edge from node 13 to node 11 with capacity 7,\nan edge from node 13 to node 1 with capacity 7,\nan edge from node 14 to node 16 with capacity 19,\nan edge from node 14 to node 5 with capacity 7,\nan edge from node 14 to node 11 with capacity 4,\nan edge from node 14 to node 6 with capacity 4,\nan edge from node 14 to node 8 with capacity 3,\nan edge from node 15 to node 10 with capacity 10,\nan edge from node 15 to node 3 with capacity 5,\nan edge from node 15 to node 13 with capacity 14,\nan edge from node 15 to node 2 with capacity 15,\nan edge from node 15 to node 12 with capacity 6,\nan edge from node 16 to node 14 with capacity 17,\nan edge from node 16 to node 8 with capacity 11,\nan edge from node 16 to node 4 with capacity 3,\nWhat is the maximum flow from node 12 to node 8:"
            },
            {
                "from": "gpt",
                "value": "46."
            }
        ]
    },
    {
        "id": "flow-hard-graph129",
        "image": "data/flow/graph_visual/hard/graph129.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 8 with capacity 9,\nan edge from node 0 to node 6 with capacity 8,\nan edge from node 0 to node 5 with capacity 1,\nan edge from node 1 to node 11 with capacity 12,\nan edge from node 3 to node 5 with capacity 6,\nan edge from node 3 to node 0 with capacity 17,\nan edge from node 4 to node 11 with capacity 7,\nan edge from node 4 to node 8 with capacity 17,\nan edge from node 4 to node 9 with capacity 4,\nan edge from node 5 to node 11 with capacity 19,\nan edge from node 6 to node 7 with capacity 11,\nan edge from node 6 to node 10 with capacity 15,\nan edge from node 6 to node 1 with capacity 12,\nan edge from node 6 to node 0 with capacity 3,\nan edge from node 7 to node 3 with capacity 3,\nan edge from node 7 to node 0 with capacity 12,\nan edge from node 9 to node 2 with capacity 7,\nan edge from node 9 to node 1 with capacity 19,\nan edge from node 10 to node 5 with capacity 4,\nan edge from node 10 to node 9 with capacity 13,\nan edge from node 10 to node 1 with capacity 12,\nan edge from node 10 to node 3 with capacity 2,\nan edge from node 11 to node 10 with capacity 15,\nWhat is the maximum flow from node 10 to node 11:"
            },
            {
                "from": "gpt",
                "value": "18."
            }
        ]
    },
    {
        "id": "flow-hard-graph408",
        "image": "data/flow/graph_visual/hard/graph408.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 4 with capacity 9,\nan edge from node 0 to node 3 with capacity 19,\nan edge from node 0 to node 2 with capacity 4,\nan edge from node 0 to node 1 with capacity 9,\nan edge from node 1 to node 0 with capacity 1,\nan edge from node 1 to node 9 with capacity 5,\nan edge from node 2 to node 7 with capacity 6,\nan edge from node 2 to node 6 with capacity 9,\nan edge from node 2 to node 4 with capacity 15,\nan edge from node 2 to node 0 with capacity 9,\nan edge from node 3 to node 12 with capacity 18,\nan edge from node 4 to node 7 with capacity 16,\nan edge from node 4 to node 6 with capacity 3,\nan edge from node 4 to node 8 with capacity 11,\nan edge from node 4 to node 11 with capacity 9,\nan edge from node 5 to node 10 with capacity 7,\nan edge from node 5 to node 4 with capacity 12,\nan edge from node 5 to node 2 with capacity 8,\nan edge from node 6 to node 13 with capacity 3,\nan edge from node 6 to node 4 with capacity 9,\nan edge from node 6 to node 9 with capacity 7,\nan edge from node 6 to node 2 with capacity 2,\nan edge from node 7 to node 13 with capacity 16,\nan edge from node 7 to node 2 with capacity 20,\nan edge from node 8 to node 7 with capacity 16,\nan edge from node 8 to node 10 with capacity 6,\nan edge from node 8 to node 2 with capacity 1,\nan edge from node 9 to node 7 with capacity 10,\nan edge from node 9 to node 8 with capacity 2,\nan edge from node 10 to node 5 with capacity 5,\nan edge from node 10 to node 3 with capacity 15,\nan edge from node 11 to node 7 with capacity 8,\nan edge from node 11 to node 10 with capacity 18,\nan edge from node 11 to node 12 with capacity 13,\nan edge from node 11 to node 1 with capacity 9,\nan edge from node 12 to node 5 with capacity 5,\nan edge from node 12 to node 4 with capacity 7,\nan edge from node 12 to node 1 with capacity 16,\nan edge from node 13 to node 5 with capacity 2,\nan edge from node 13 to node 6 with capacity 15,\nan edge from node 13 to node 9 with capacity 2,\nan edge from node 13 to node 11 with capacity 8,\nWhat is the maximum flow from node 8 to node 1:"
            },
            {
                "from": "gpt",
                "value": "23."
            }
        ]
    },
    {
        "id": "flow-hard-graph974",
        "image": "data/flow/graph_visual/hard/graph974.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 18 with capacity 16,\nan edge from node 0 to node 11 with capacity 10,\nan edge from node 1 to node 12 with capacity 3,\nan edge from node 1 to node 4 with capacity 1,\nan edge from node 1 to node 8 with capacity 18,\nan edge from node 2 to node 9 with capacity 9,\nan edge from node 2 to node 16 with capacity 15,\nan edge from node 2 to node 17 with capacity 2,\nan edge from node 2 to node 4 with capacity 5,\nan edge from node 3 to node 18 with capacity 1,\nan edge from node 3 to node 10 with capacity 15,\nan edge from node 3 to node 6 with capacity 12,\nan edge from node 3 to node 0 with capacity 10,\nan edge from node 4 to node 11 with capacity 15,\nan edge from node 4 to node 0 with capacity 11,\nan edge from node 4 to node 7 with capacity 20,\nan edge from node 5 to node 15 with capacity 2,\nan edge from node 5 to node 12 with capacity 13,\nan edge from node 6 to node 16 with capacity 13,\nan edge from node 6 to node 17 with capacity 17,\nan edge from node 6 to node 18 with capacity 9,\nan edge from node 6 to node 14 with capacity 11,\nan edge from node 6 to node 13 with capacity 13,\nan edge from node 6 to node 0 with capacity 19,\nan edge from node 6 to node 3 with capacity 6,\nan edge from node 7 to node 17 with capacity 9,\nan edge from node 7 to node 18 with capacity 19,\nan edge from node 7 to node 12 with capacity 20,\nan edge from node 8 to node 15 with capacity 10,\nan edge from node 8 to node 12 with capacity 1,\nan edge from node 8 to node 4 with capacity 12,\nan edge from node 8 to node 3 with capacity 1,\nan edge from node 9 to node 6 with capacity 6,\nan edge from node 9 to node 0 with capacity 1,\nan edge from node 9 to node 4 with capacity 4,\nan edge from node 9 to node 8 with capacity 11,\nan edge from node 9 to node 3 with capacity 16,\nan edge from node 10 to node 6 with capacity 6,\nan edge from node 10 to node 11 with capacity 5,\nan edge from node 10 to node 13 with capacity 17,\nan edge from node 10 to node 3 with capacity 13,\nan edge from node 11 to node 10 with capacity 11,\nan edge from node 11 to node 6 with capacity 20,\nan edge from node 11 to node 12 with capacity 3,\nan edge from node 12 to node 6 with capacity 16,\nan edge from node 13 to node 2 with capacity 16,\nan edge from node 13 to node 17 with capacity 7,\nan edge from node 13 to node 18 with capacity 4,\nan edge from node 13 to node 10 with capacity 13,\nan edge from node 13 to node 5 with capacity 4,\nan edge from node 13 to node 12 with capacity 1,\nan edge from node 14 to node 2 with capacity 2,\nan edge from node 14 to node 9 with capacity 3,\nan edge from node 14 to node 17 with capacity 6,\nan edge from node 14 to node 18 with capacity 10,\nan edge from node 14 to node 5 with capacity 16,\nan edge from node 14 to node 4 with capacity 10,\nan edge from node 15 to node 18 with capacity 1,\nan edge from node 15 to node 10 with capacity 1,\nan edge from node 15 to node 5 with capacity 4,\nan edge from node 15 to node 14 with capacity 18,\nan edge from node 15 to node 13 with capacity 3,\nan edge from node 16 to node 2 with capacity 17,\nan edge from node 16 to node 9 with capacity 7,\nan edge from node 16 to node 14 with capacity 3,\nan edge from node 16 to node 13 with capacity 3,\nan edge from node 16 to node 12 with capacity 20,\nan edge from node 17 to node 9 with capacity 4,\nan edge from node 17 to node 4 with capacity 1,\nan edge from node 17 to node 3 with capacity 2,\nan edge from node 18 to node 9 with capacity 19,\nan edge from node 18 to node 16 with capacity 17,\nan edge from node 18 to node 17 with capacity 6,\nan edge from node 18 to node 14 with capacity 9,\nWhat is the maximum flow from node 18 to node 7:"
            },
            {
                "from": "gpt",
                "value": "20."
            }
        ]
    },
    {
        "id": "flow-hard-graph664",
        "image": "data/flow/graph_visual/hard/graph664.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 15 with capacity 16,\nan edge from node 0 to node 3 with capacity 19,\nan edge from node 0 to node 10 with capacity 8,\nan edge from node 0 to node 4 with capacity 10,\nan edge from node 0 to node 14 with capacity 14,\nan edge from node 0 to node 12 with capacity 7,\nan edge from node 1 to node 15 with capacity 13,\nan edge from node 1 to node 3 with capacity 10,\nan edge from node 1 to node 10 with capacity 20,\nan edge from node 1 to node 6 with capacity 13,\nan edge from node 1 to node 13 with capacity 1,\nan edge from node 1 to node 12 with capacity 18,\nan edge from node 2 to node 10 with capacity 7,\nan edge from node 2 to node 7 with capacity 14,\nan edge from node 3 to node 15 with capacity 10,\nan edge from node 3 to node 6 with capacity 8,\nan edge from node 3 to node 0 with capacity 16,\nan edge from node 4 to node 0 with capacity 9,\nan edge from node 5 to node 0 with capacity 19,\nan edge from node 6 to node 2 with capacity 12,\nan edge from node 6 to node 11 with capacity 9,\nan edge from node 7 to node 5 with capacity 15,\nan edge from node 7 to node 1 with capacity 12,\nan edge from node 7 to node 14 with capacity 15,\nan edge from node 7 to node 9 with capacity 4,\nan edge from node 8 to node 5 with capacity 17,\nan edge from node 8 to node 7 with capacity 7,\nan edge from node 8 to node 4 with capacity 10,\nan edge from node 8 to node 1 with capacity 8,\nan edge from node 8 to node 14 with capacity 19,\nan edge from node 9 to node 8 with capacity 20,\nan edge from node 9 to node 0 with capacity 3,\nan edge from node 10 to node 15 with capacity 9,\nan edge from node 10 to node 2 with capacity 8,\nan edge from node 10 to node 11 with capacity 4,\nan edge from node 10 to node 14 with capacity 4,\nan edge from node 10 to node 13 with capacity 15,\nan edge from node 10 to node 12 with capacity 12,\nan edge from node 11 to node 10 with capacity 20,\nan edge from node 11 to node 6 with capacity 8,\nan edge from node 11 to node 1 with capacity 15,\nan edge from node 11 to node 0 with capacity 6,\nan edge from node 11 to node 12 with capacity 8,\nan edge from node 12 to node 3 with capacity 4,\nan edge from node 12 to node 11 with capacity 9,\nan edge from node 12 to node 8 with capacity 7,\nan edge from node 12 to node 0 with capacity 7,\nan edge from node 13 to node 3 with capacity 13,\nan edge from node 13 to node 1 with capacity 5,\nan edge from node 14 to node 15 with capacity 19,\nan edge from node 14 to node 3 with capacity 15,\nan edge from node 14 to node 8 with capacity 20,\nan edge from node 14 to node 12 with capacity 17,\nan edge from node 15 to node 4 with capacity 5,\nan edge from node 15 to node 1 with capacity 11,\nan edge from node 15 to node 14 with capacity 14,\nan edge from node 15 to node 9 with capacity 2,\nWhat is the maximum flow from node 6 to node 10:"
            },
            {
                "from": "gpt",
                "value": "21."
            }
        ]
    },
    {
        "id": "flow-hard-graph326",
        "image": "data/flow/graph_visual/hard/graph326.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 12 with capacity 20,\nan edge from node 0 to node 9 with capacity 7,\nan edge from node 0 to node 4 with capacity 12,\nan edge from node 0 to node 7 with capacity 1,\nan edge from node 0 to node 2 with capacity 2,\nan edge from node 1 to node 12 with capacity 10,\nan edge from node 1 to node 3 with capacity 19,\nan edge from node 1 to node 5 with capacity 16,\nan edge from node 1 to node 11 with capacity 19,\nan edge from node 1 to node 0 with capacity 16,\nan edge from node 1 to node 10 with capacity 7,\nan edge from node 2 to node 8 with capacity 3,\nan edge from node 2 to node 5 with capacity 19,\nan edge from node 3 to node 4 with capacity 1,\nan edge from node 3 to node 7 with capacity 9,\nan edge from node 4 to node 8 with capacity 1,\nan edge from node 4 to node 10 with capacity 10,\nan edge from node 5 to node 3 with capacity 8,\nan edge from node 5 to node 8 with capacity 12,\nan edge from node 5 to node 11 with capacity 17,\nan edge from node 5 to node 7 with capacity 19,\nan edge from node 6 to node 4 with capacity 17,\nan edge from node 6 to node 10 with capacity 6,\nan edge from node 7 to node 12 with capacity 8,\nan edge from node 7 to node 1 with capacity 3,\nan edge from node 7 to node 3 with capacity 7,\nan edge from node 7 to node 5 with capacity 4,\nan edge from node 7 to node 4 with capacity 10,\nan edge from node 8 to node 9 with capacity 18,\nan edge from node 8 to node 5 with capacity 6,\nan edge from node 8 to node 6 with capacity 18,\nan edge from node 9 to node 4 with capacity 5,\nan edge from node 9 to node 0 with capacity 3,\nan edge from node 9 to node 10 with capacity 20,\nan edge from node 10 to node 12 with capacity 17,\nan edge from node 10 to node 6 with capacity 9,\nan edge from node 11 to node 1 with capacity 19,\nan edge from node 11 to node 8 with capacity 14,\nan edge from node 11 to node 5 with capacity 17,\nan edge from node 11 to node 6 with capacity 11,\nan edge from node 11 to node 7 with capacity 10,\nan edge from node 11 to node 0 with capacity 8,\nan edge from node 11 to node 2 with capacity 7,\nan edge from node 12 to node 4 with capacity 10,\nan edge from node 12 to node 0 with capacity 14,\nan edge from node 12 to node 2 with capacity 11,\nWhat is the maximum flow from node 9 to node 5:"
            },
            {
                "from": "gpt",
                "value": "15."
            }
        ]
    },
    {
        "id": "flow-hard-graph258",
        "image": "data/flow/graph_visual/hard/graph258.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 1 to node 3 with capacity 12,\nan edge from node 1 to node 4 with capacity 16,\nan edge from node 1 to node 5 with capacity 7,\nan edge from node 1 to node 10 with capacity 5,\nan edge from node 1 to node 9 with capacity 12,\nan edge from node 1 to node 12 with capacity 18,\nan edge from node 1 to node 0 with capacity 10,\nan edge from node 2 to node 5 with capacity 10,\nan edge from node 3 to node 4 with capacity 5,\nan edge from node 3 to node 9 with capacity 12,\nan edge from node 4 to node 2 with capacity 8,\nan edge from node 4 to node 12 with capacity 11,\nan edge from node 5 to node 7 with capacity 4,\nan edge from node 5 to node 9 with capacity 6,\nan edge from node 5 to node 8 with capacity 16,\nan edge from node 5 to node 0 with capacity 12,\nan edge from node 6 to node 7 with capacity 18,\nan edge from node 6 to node 2 with capacity 9,\nan edge from node 6 to node 0 with capacity 5,\nan edge from node 7 to node 9 with capacity 16,\nan edge from node 7 to node 12 with capacity 9,\nan edge from node 7 to node 0 with capacity 11,\nan edge from node 7 to node 11 with capacity 15,\nan edge from node 8 to node 1 with capacity 15,\nan edge from node 9 to node 0 with capacity 5,\nan edge from node 10 to node 6 with capacity 10,\nan edge from node 10 to node 11 with capacity 11,\nan edge from node 11 to node 3 with capacity 9,\nan edge from node 11 to node 5 with capacity 16,\nan edge from node 11 to node 10 with capacity 1,\nan edge from node 12 to node 3 with capacity 12,\nan edge from node 12 to node 4 with capacity 19,\nan edge from node 12 to node 5 with capacity 15,\nan edge from node 12 to node 8 with capacity 5,\nWhat is the maximum flow from node 1 to node 9:"
            },
            {
                "from": "gpt",
                "value": "39."
            }
        ]
    },
    {
        "id": "flow-hard-graph826",
        "image": "data/flow/graph_visual/hard/graph826.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 7 with capacity 9,\nan edge from node 0 to node 14 with capacity 6,\nan edge from node 1 to node 0 with capacity 16,\nan edge from node 1 to node 13 with capacity 15,\nan edge from node 1 to node 14 with capacity 5,\nan edge from node 2 to node 7 with capacity 10,\nan edge from node 2 to node 6 with capacity 13,\nan edge from node 2 to node 13 with capacity 14,\nan edge from node 2 to node 16 with capacity 1,\nan edge from node 2 to node 10 with capacity 17,\nan edge from node 2 to node 5 with capacity 17,\nan edge from node 3 to node 9 with capacity 13,\nan edge from node 3 to node 7 with capacity 2,\nan edge from node 3 to node 14 with capacity 17,\nan edge from node 3 to node 4 with capacity 11,\nan edge from node 3 to node 10 with capacity 2,\nan edge from node 4 to node 15 with capacity 6,\nan edge from node 4 to node 13 with capacity 12,\nan edge from node 4 to node 14 with capacity 11,\nan edge from node 4 to node 8 with capacity 8,\nan edge from node 5 to node 15 with capacity 5,\nan edge from node 5 to node 10 with capacity 14,\nan edge from node 5 to node 11 with capacity 2,\nan edge from node 5 to node 8 with capacity 11,\nan edge from node 6 to node 1 with capacity 5,\nan edge from node 6 to node 7 with capacity 6,\nan edge from node 6 to node 12 with capacity 5,\nan edge from node 6 to node 2 with capacity 3,\nan edge from node 6 to node 16 with capacity 11,\nan edge from node 6 to node 10 with capacity 18,\nan edge from node 7 to node 9 with capacity 18,\nan edge from node 7 to node 6 with capacity 4,\nan edge from node 7 to node 3 with capacity 18,\nan edge from node 7 to node 13 with capacity 1,\nan edge from node 7 to node 8 with capacity 5,\nan edge from node 8 to node 3 with capacity 5,\nan edge from node 8 to node 12 with capacity 13,\nan edge from node 8 to node 10 with capacity 17,\nan edge from node 9 to node 6 with capacity 10,\nan edge from node 9 to node 2 with capacity 1,\nan edge from node 9 to node 16 with capacity 17,\nan edge from node 10 to node 9 with capacity 2,\nan edge from node 10 to node 3 with capacity 3,\nan edge from node 10 to node 4 with capacity 10,\nan edge from node 11 to node 1 with capacity 18,\nan edge from node 11 to node 0 with capacity 17,\nan edge from node 11 to node 3 with capacity 16,\nan edge from node 11 to node 2 with capacity 14,\nan edge from node 11 to node 14 with capacity 19,\nan edge from node 11 to node 5 with capacity 11,\nan edge from node 12 to node 1 with capacity 14,\nan edge from node 12 to node 0 with capacity 6,\nan edge from node 12 to node 2 with capacity 5,\nan edge from node 12 to node 16 with capacity 15,\nan edge from node 12 to node 10 with capacity 7,\nan edge from node 13 to node 9 with capacity 10,\nan edge from node 13 to node 7 with capacity 1,\nan edge from node 13 to node 16 with capacity 20,\nan edge from node 13 to node 4 with capacity 10,\nan edge from node 14 to node 0 with capacity 16,\nan edge from node 14 to node 3 with capacity 20,\nan edge from node 14 to node 13 with capacity 16,\nan edge from node 14 to node 16 with capacity 7,\nan edge from node 15 to node 12 with capacity 14,\nan edge from node 15 to node 13 with capacity 6,\nan edge from node 15 to node 14 with capacity 14,\nan edge from node 15 to node 8 with capacity 4,\nan edge from node 16 to node 1 with capacity 3,\nan edge from node 16 to node 0 with capacity 12,\nan edge from node 16 to node 9 with capacity 4,\nan edge from node 16 to node 2 with capacity 3,\nWhat is the maximum flow from node 0 to node 15:"
            },
            {
                "from": "gpt",
                "value": "11."
            }
        ]
    },
    {
        "id": "flow-hard-graph41",
        "image": "data/flow/graph_visual/hard/graph41.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 2 with capacity 16,\nan edge from node 0 to node 10 with capacity 3,\nan edge from node 0 to node 8 with capacity 3,\nan edge from node 1 to node 9 with capacity 8,\nan edge from node 1 to node 5 with capacity 15,\nan edge from node 2 to node 1 with capacity 16,\nan edge from node 2 to node 5 with capacity 6,\nan edge from node 2 to node 8 with capacity 19,\nan edge from node 2 to node 3 with capacity 2,\nan edge from node 3 to node 1 with capacity 4,\nan edge from node 3 to node 10 with capacity 4,\nan edge from node 3 to node 7 with capacity 14,\nan edge from node 3 to node 0 with capacity 15,\nan edge from node 4 to node 10 with capacity 18,\nan edge from node 5 to node 6 with capacity 20,\nan edge from node 5 to node 8 with capacity 15,\nan edge from node 5 to node 4 with capacity 15,\nan edge from node 6 to node 9 with capacity 14,\nan edge from node 6 to node 3 with capacity 17,\nan edge from node 7 to node 2 with capacity 17,\nan edge from node 7 to node 9 with capacity 12,\nan edge from node 7 to node 0 with capacity 5,\nan edge from node 7 to node 3 with capacity 6,\nan edge from node 8 to node 1 with capacity 7,\nan edge from node 8 to node 7 with capacity 13,\nan edge from node 8 to node 3 with capacity 8,\nan edge from node 9 to node 2 with capacity 11,\nan edge from node 9 to node 10 with capacity 10,\nan edge from node 10 to node 1 with capacity 17,\nan edge from node 10 to node 7 with capacity 20,\nan edge from node 10 to node 6 with capacity 12,\nan edge from node 10 to node 8 with capacity 5,\nan edge from node 10 to node 4 with capacity 1,\nWhat is the maximum flow from node 10 to node 7:"
            },
            {
                "from": "gpt",
                "value": "47."
            }
        ]
    },
    {
        "id": "flow-hard-graph284",
        "image": "data/flow/graph_visual/hard/graph284.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 7 with capacity 12,\nan edge from node 0 to node 4 with capacity 8,\nan edge from node 0 to node 8 with capacity 13,\nan edge from node 0 to node 11 with capacity 14,\nan edge from node 1 to node 6 with capacity 17,\nan edge from node 1 to node 0 with capacity 3,\nan edge from node 1 to node 11 with capacity 3,\nan edge from node 2 to node 7 with capacity 3,\nan edge from node 2 to node 5 with capacity 19,\nan edge from node 2 to node 8 with capacity 14,\nan edge from node 3 to node 7 with capacity 12,\nan edge from node 3 to node 6 with capacity 4,\nan edge from node 3 to node 8 with capacity 7,\nan edge from node 4 to node 12 with capacity 17,\nan edge from node 4 to node 5 with capacity 5,\nan edge from node 5 to node 7 with capacity 6,\nan edge from node 5 to node 11 with capacity 7,\nan edge from node 6 to node 10 with capacity 14,\nan edge from node 6 to node 3 with capacity 14,\nan edge from node 7 to node 12 with capacity 14,\nan edge from node 7 to node 2 with capacity 19,\nan edge from node 9 to node 7 with capacity 12,\nan edge from node 9 to node 8 with capacity 4,\nan edge from node 10 to node 7 with capacity 3,\nan edge from node 10 to node 12 with capacity 7,\nan edge from node 10 to node 9 with capacity 2,\nan edge from node 10 to node 0 with capacity 15,\nan edge from node 11 to node 6 with capacity 14,\nan edge from node 11 to node 5 with capacity 10,\nan edge from node 11 to node 4 with capacity 3,\nan edge from node 11 to node 8 with capacity 4,\nan edge from node 11 to node 2 with capacity 7,\nan edge from node 12 to node 3 with capacity 5,\nan edge from node 12 to node 8 with capacity 20,\nan edge from node 12 to node 0 with capacity 20,\nan edge from node 12 to node 2 with capacity 4,\nan edge from node 12 to node 11 with capacity 9,\nWhat is the maximum flow from node 3 to node 10:"
            },
            {
                "from": "gpt",
                "value": "14."
            }
        ]
    },
    {
        "id": "flow-hard-graph902",
        "image": "data/flow/graph_visual/hard/graph902.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 16 with capacity 14,\nan edge from node 0 to node 11 with capacity 9,\nan edge from node 0 to node 17 with capacity 16,\nan edge from node 0 to node 7 with capacity 13,\nan edge from node 1 to node 8 with capacity 12,\nan edge from node 1 to node 3 with capacity 13,\nan edge from node 1 to node 6 with capacity 19,\nan edge from node 2 to node 1 with capacity 15,\nan edge from node 2 to node 3 with capacity 14,\nan edge from node 2 to node 10 with capacity 20,\nan edge from node 2 to node 16 with capacity 20,\nan edge from node 3 to node 13 with capacity 9,\nan edge from node 3 to node 16 with capacity 14,\nan edge from node 4 to node 13 with capacity 10,\nan edge from node 4 to node 10 with capacity 9,\nan edge from node 4 to node 9 with capacity 13,\nan edge from node 4 to node 16 with capacity 20,\nan edge from node 4 to node 6 with capacity 1,\nan edge from node 4 to node 7 with capacity 17,\nan edge from node 5 to node 8 with capacity 17,\nan edge from node 5 to node 10 with capacity 10,\nan edge from node 5 to node 16 with capacity 19,\nan edge from node 5 to node 15 with capacity 10,\nan edge from node 5 to node 6 with capacity 6,\nan edge from node 5 to node 14 with capacity 17,\nan edge from node 5 to node 2 with capacity 11,\nan edge from node 5 to node 17 with capacity 4,\nan edge from node 6 to node 9 with capacity 11,\nan edge from node 7 to node 0 with capacity 10,\nan edge from node 7 to node 6 with capacity 16,\nan edge from node 8 to node 1 with capacity 18,\nan edge from node 8 to node 0 with capacity 11,\nan edge from node 8 to node 3 with capacity 7,\nan edge from node 8 to node 2 with capacity 2,\nan edge from node 9 to node 10 with capacity 12,\nan edge from node 9 to node 16 with capacity 6,\nan edge from node 9 to node 2 with capacity 7,\nan edge from node 10 to node 0 with capacity 3,\nan edge from node 10 to node 15 with capacity 3,\nan edge from node 11 to node 8 with capacity 4,\nan edge from node 11 to node 9 with capacity 11,\nan edge from node 11 to node 16 with capacity 4,\nan edge from node 12 to node 1 with capacity 9,\nan edge from node 12 to node 3 with capacity 10,\nan edge from node 12 to node 6 with capacity 14,\nan edge from node 12 to node 17 with capacity 1,\nan edge from node 12 to node 4 with capacity 12,\nan edge from node 13 to node 0 with capacity 1,\nan edge from node 13 to node 6 with capacity 14,\nan edge from node 13 to node 2 with capacity 5,\nan edge from node 14 to node 0 with capacity 3,\nan edge from node 15 to node 7 with capacity 19,\nan edge from node 16 to node 8 with capacity 14,\nan edge from node 16 to node 15 with capacity 17,\nan edge from node 16 to node 6 with capacity 1,\nan edge from node 16 to node 12 with capacity 12,\nan edge from node 16 to node 5 with capacity 15,\nan edge from node 16 to node 4 with capacity 5,\nan edge from node 17 to node 10 with capacity 20,\nan edge from node 17 to node 16 with capacity 7,\nWhat is the maximum flow from node 11 to node 5:"
            },
            {
                "from": "gpt",
                "value": "15."
            }
        ]
    },
    {
        "id": "flow-hard-graph1129",
        "image": "data/flow/graph_visual/hard/graph1129.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 14 with capacity 6,\nan edge from node 0 to node 19 with capacity 5,\nan edge from node 0 to node 15 with capacity 15,\nan edge from node 0 to node 11 with capacity 1,\nan edge from node 0 to node 10 with capacity 19,\nan edge from node 0 to node 13 with capacity 9,\nan edge from node 0 to node 16 with capacity 13,\nan edge from node 0 to node 4 with capacity 19,\nan edge from node 1 to node 14 with capacity 12,\nan edge from node 1 to node 19 with capacity 12,\nan edge from node 1 to node 18 with capacity 4,\nan edge from node 1 to node 11 with capacity 5,\nan edge from node 1 to node 10 with capacity 14,\nan edge from node 2 to node 14 with capacity 6,\nan edge from node 2 to node 17 with capacity 15,\nan edge from node 2 to node 15 with capacity 6,\nan edge from node 2 to node 0 with capacity 9,\nan edge from node 3 to node 18 with capacity 9,\nan edge from node 3 to node 2 with capacity 9,\nan edge from node 3 to node 11 with capacity 12,\nan edge from node 3 to node 12 with capacity 18,\nan edge from node 3 to node 6 with capacity 4,\nan edge from node 3 to node 8 with capacity 14,\nan edge from node 4 to node 17 with capacity 6,\nan edge from node 4 to node 9 with capacity 8,\nan edge from node 4 to node 19 with capacity 10,\nan edge from node 4 to node 15 with capacity 3,\nan edge from node 4 to node 18 with capacity 14,\nan edge from node 4 to node 1 with capacity 10,\nan edge from node 4 to node 11 with capacity 14,\nan edge from node 5 to node 14 with capacity 13,\nan edge from node 5 to node 19 with capacity 1,\nan edge from node 5 to node 1 with capacity 2,\nan edge from node 5 to node 6 with capacity 7,\nan edge from node 5 to node 4 with capacity 18,\nan edge from node 6 to node 18 with capacity 10,\nan edge from node 7 to node 19 with capacity 20,\nan edge from node 7 to node 6 with capacity 11,\nan edge from node 7 to node 8 with capacity 12,\nan edge from node 8 to node 14 with capacity 3,\nan edge from node 8 to node 9 with capacity 6,\nan edge from node 8 to node 2 with capacity 20,\nan edge from node 8 to node 11 with capacity 14,\nan edge from node 8 to node 3 with capacity 18,\nan edge from node 9 to node 6 with capacity 16,\nan edge from node 9 to node 13 with capacity 12,\nan edge from node 9 to node 8 with capacity 11,\nan edge from node 10 to node 9 with capacity 11,\nan edge from node 10 to node 19 with capacity 16,\nan edge from node 11 to node 18 with capacity 5,\nan edge from node 11 to node 10 with capacity 18,\nan edge from node 11 to node 4 with capacity 1,\nan edge from node 12 to node 14 with capacity 9,\nan edge from node 12 to node 17 with capacity 7,\nan edge from node 12 to node 15 with capacity 5,\nan edge from node 12 to node 18 with capacity 15,\nan edge from node 12 to node 2 with capacity 2,\nan edge from node 12 to node 6 with capacity 2,\nan edge from node 13 to node 7 with capacity 16,\nan edge from node 13 to node 16 with capacity 1,\nan edge from node 13 to node 0 with capacity 20,\nan edge from node 14 to node 12 with capacity 19,\nan edge from node 14 to node 6 with capacity 9,\nan edge from node 14 to node 7 with capacity 2,\nan edge from node 14 to node 0 with capacity 6,\nan edge from node 14 to node 8 with capacity 19,\nan edge from node 15 to node 2 with capacity 12,\nan edge from node 15 to node 11 with capacity 7,\nan edge from node 15 to node 10 with capacity 8,\nan edge from node 15 to node 6 with capacity 3,\nan edge from node 16 to node 5 with capacity 18,\nan edge from node 16 to node 15 with capacity 15,\nan edge from node 16 to node 11 with capacity 14,\nan edge from node 16 to node 3 with capacity 4,\nan edge from node 16 to node 7 with capacity 6,\nan edge from node 17 to node 5 with capacity 10,\nan edge from node 17 to node 19 with capacity 17,\nan edge from node 17 to node 15 with capacity 13,\nan edge from node 17 to node 2 with capacity 19,\nan edge from node 18 to node 19 with capacity 14,\nan edge from node 18 to node 12 with capacity 15,\nan edge from node 18 to node 13 with capacity 4,\nan edge from node 19 to node 15 with capacity 5,\nan edge from node 19 to node 18 with capacity 11,\nan edge from node 19 to node 1 with capacity 6,\nan edge from node 19 to node 16 with capacity 8,\nan edge from node 19 to node 4 with capacity 5,\nWhat is the maximum flow from node 1 to node 14:"
            },
            {
                "from": "gpt",
                "value": "47."
            }
        ]
    },
    {
        "id": "flow-hard-graph256",
        "image": "data/flow/graph_visual/hard/graph256.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 8 with capacity 10,\nan edge from node 0 to node 1 with capacity 8,\nan edge from node 0 to node 4 with capacity 10,\nan edge from node 0 to node 9 with capacity 17,\nan edge from node 1 to node 5 with capacity 20,\nan edge from node 1 to node 0 with capacity 18,\nan edge from node 1 to node 2 with capacity 11,\nan edge from node 2 to node 8 with capacity 5,\nan edge from node 2 to node 5 with capacity 5,\nan edge from node 2 to node 0 with capacity 14,\nan edge from node 2 to node 3 with capacity 16,\nan edge from node 2 to node 12 with capacity 2,\nan edge from node 3 to node 5 with capacity 17,\nan edge from node 3 to node 7 with capacity 19,\nan edge from node 3 to node 11 with capacity 15,\nan edge from node 3 to node 12 with capacity 11,\nan edge from node 4 to node 5 with capacity 7,\nan edge from node 4 to node 3 with capacity 6,\nan edge from node 4 to node 9 with capacity 4,\nan edge from node 4 to node 2 with capacity 10,\nan edge from node 5 to node 6 with capacity 7,\nan edge from node 5 to node 1 with capacity 16,\nan edge from node 6 to node 9 with capacity 7,\nan edge from node 6 to node 2 with capacity 5,\nan edge from node 7 to node 10 with capacity 17,\nan edge from node 7 to node 9 with capacity 9,\nan edge from node 8 to node 9 with capacity 3,\nan edge from node 9 to node 8 with capacity 9,\nan edge from node 9 to node 7 with capacity 1,\nan edge from node 9 to node 1 with capacity 19,\nan edge from node 9 to node 2 with capacity 4,\nan edge from node 10 to node 8 with capacity 10,\nan edge from node 10 to node 6 with capacity 17,\nan edge from node 11 to node 1 with capacity 5,\nan edge from node 11 to node 12 with capacity 17,\nWhat is the maximum flow from node 5 to node 0:"
            },
            {
                "from": "gpt",
                "value": "23."
            }
        ]
    },
    {
        "id": "flow-hard-graph876",
        "image": "data/flow/graph_visual/hard/graph876.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 14 with capacity 3,\nan edge from node 0 to node 7 with capacity 5,\nan edge from node 0 to node 13 with capacity 3,\nan edge from node 0 to node 8 with capacity 7,\nan edge from node 0 to node 12 with capacity 13,\nan edge from node 1 to node 17 with capacity 1,\nan edge from node 1 to node 12 with capacity 3,\nan edge from node 2 to node 14 with capacity 4,\nan edge from node 2 to node 15 with capacity 16,\nan edge from node 2 to node 0 with capacity 6,\nan edge from node 3 to node 10 with capacity 15,\nan edge from node 3 to node 15 with capacity 16,\nan edge from node 3 to node 13 with capacity 3,\nan edge from node 3 to node 9 with capacity 6,\nan edge from node 3 to node 0 with capacity 16,\nan edge from node 4 to node 14 with capacity 9,\nan edge from node 4 to node 15 with capacity 8,\nan edge from node 4 to node 13 with capacity 20,\nan edge from node 4 to node 9 with capacity 18,\nan edge from node 4 to node 0 with capacity 14,\nan edge from node 4 to node 2 with capacity 17,\nan edge from node 5 to node 3 with capacity 20,\nan edge from node 5 to node 10 with capacity 6,\nan edge from node 5 to node 0 with capacity 4,\nan edge from node 6 to node 11 with capacity 14,\nan edge from node 6 to node 15 with capacity 6,\nan edge from node 6 to node 13 with capacity 13,\nan edge from node 6 to node 0 with capacity 16,\nan edge from node 7 to node 3 with capacity 6,\nan edge from node 7 to node 11 with capacity 3,\nan edge from node 7 to node 6 with capacity 6,\nan edge from node 7 to node 15 with capacity 4,\nan edge from node 7 to node 9 with capacity 14,\nan edge from node 7 to node 2 with capacity 14,\nan edge from node 7 to node 5 with capacity 13,\nan edge from node 8 to node 10 with capacity 8,\nan edge from node 8 to node 16 with capacity 19,\nan edge from node 8 to node 15 with capacity 19,\nan edge from node 9 to node 14 with capacity 20,\nan edge from node 9 to node 7 with capacity 1,\nan edge from node 10 to node 14 with capacity 11,\nan edge from node 10 to node 17 with capacity 19,\nan edge from node 11 to node 3 with capacity 6,\nan edge from node 11 to node 1 with capacity 18,\nan edge from node 11 to node 6 with capacity 20,\nan edge from node 11 to node 8 with capacity 15,\nan edge from node 11 to node 0 with capacity 7,\nan edge from node 11 to node 12 with capacity 10,\nan edge from node 12 to node 3 with capacity 10,\nan edge from node 12 to node 10 with capacity 13,\nan edge from node 12 to node 11 with capacity 5,\nan edge from node 12 to node 13 with capacity 14,\nan edge from node 12 to node 0 with capacity 8,\nan edge from node 13 to node 4 with capacity 19,\nan edge from node 13 to node 10 with capacity 3,\nan edge from node 13 to node 16 with capacity 13,\nan edge from node 13 to node 8 with capacity 18,\nan edge from node 13 to node 0 with capacity 11,\nan edge from node 13 to node 12 with capacity 6,\nan edge from node 14 to node 4 with capacity 18,\nan edge from node 14 to node 3 with capacity 17,\nan edge from node 14 to node 10 with capacity 4,\nan edge from node 14 to node 11 with capacity 10,\nan edge from node 14 to node 9 with capacity 18,\nan edge from node 14 to node 5 with capacity 7,\nan edge from node 14 to node 12 with capacity 1,\nan edge from node 15 to node 14 with capacity 12,\nan edge from node 15 to node 17 with capacity 9,\nan edge from node 15 to node 8 with capacity 12,\nan edge from node 15 to node 12 with capacity 3,\nan edge from node 16 to node 14 with capacity 14,\nan edge from node 16 to node 11 with capacity 3,\nan edge from node 16 to node 6 with capacity 4,\nan edge from node 16 to node 17 with capacity 7,\nan edge from node 17 to node 3 with capacity 6,\nan edge from node 17 to node 10 with capacity 13,\nan edge from node 17 to node 15 with capacity 1,\nan edge from node 17 to node 0 with capacity 6,\nWhat is the maximum flow from node 4 to node 17:"
            },
            {
                "from": "gpt",
                "value": "36."
            }
        ]
    },
    {
        "id": "flow-hard-graph178",
        "image": "data/flow/graph_visual/hard/graph178.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 5 with capacity 1,\nan edge from node 0 to node 9 with capacity 1,\nan edge from node 1 to node 6 with capacity 20,\nan edge from node 1 to node 3 with capacity 14,\nan edge from node 2 to node 11 with capacity 16,\nan edge from node 2 to node 8 with capacity 2,\nan edge from node 2 to node 7 with capacity 1,\nan edge from node 3 to node 8 with capacity 1,\nan edge from node 3 to node 0 with capacity 6,\nan edge from node 4 to node 5 with capacity 9,\nan edge from node 4 to node 8 with capacity 10,\nan edge from node 4 to node 2 with capacity 10,\nan edge from node 5 to node 3 with capacity 3,\nan edge from node 5 to node 10 with capacity 4,\nan edge from node 5 to node 8 with capacity 5,\nan edge from node 6 to node 4 with capacity 9,\nan edge from node 6 to node 9 with capacity 3,\nan edge from node 7 to node 11 with capacity 4,\nan edge from node 7 to node 3 with capacity 16,\nan edge from node 7 to node 4 with capacity 10,\nan edge from node 7 to node 9 with capacity 3,\nan edge from node 8 to node 7 with capacity 16,\nan edge from node 9 to node 6 with capacity 17,\nan edge from node 9 to node 3 with capacity 20,\nan edge from node 9 to node 5 with capacity 18,\nan edge from node 9 to node 1 with capacity 20,\nan edge from node 9 to node 2 with capacity 8,\nan edge from node 9 to node 0 with capacity 4,\nan edge from node 10 to node 9 with capacity 5,\nan edge from node 11 to node 6 with capacity 15,\nan edge from node 11 to node 4 with capacity 11,\nan edge from node 11 to node 2 with capacity 2,\nWhat is the maximum flow from node 9 to node 8:"
            },
            {
                "from": "gpt",
                "value": "18."
            }
        ]
    },
    {
        "id": "flow-hard-graph80",
        "image": "data/flow/graph_visual/hard/graph80.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 3 with capacity 9,\nan edge from node 0 to node 6 with capacity 1,\nan edge from node 1 to node 8 with capacity 20,\nan edge from node 1 to node 5 with capacity 19,\nan edge from node 1 to node 10 with capacity 12,\nan edge from node 1 to node 0 with capacity 14,\nan edge from node 1 to node 7 with capacity 3,\nan edge from node 2 to node 8 with capacity 15,\nan edge from node 2 to node 0 with capacity 19,\nan edge from node 3 to node 0 with capacity 8,\nan edge from node 3 to node 2 with capacity 14,\nan edge from node 4 to node 1 with capacity 19,\nan edge from node 4 to node 2 with capacity 14,\nan edge from node 5 to node 1 with capacity 15,\nan edge from node 5 to node 2 with capacity 14,\nan edge from node 6 to node 3 with capacity 15,\nan edge from node 6 to node 8 with capacity 20,\nan edge from node 6 to node 10 with capacity 2,\nan edge from node 6 to node 0 with capacity 2,\nan edge from node 6 to node 2 with capacity 13,\nan edge from node 7 to node 8 with capacity 11,\nan edge from node 7 to node 5 with capacity 7,\nan edge from node 7 to node 4 with capacity 19,\nan edge from node 7 to node 2 with capacity 19,\nan edge from node 7 to node 9 with capacity 3,\nan edge from node 8 to node 7 with capacity 20,\nan edge from node 8 to node 2 with capacity 16,\nan edge from node 9 to node 3 with capacity 7,\nan edge from node 9 to node 5 with capacity 5,\nan edge from node 9 to node 7 with capacity 7,\nan edge from node 10 to node 8 with capacity 10,\nan edge from node 10 to node 6 with capacity 14,\nan edge from node 10 to node 0 with capacity 19,\nan edge from node 10 to node 7 with capacity 19,\nWhat is the maximum flow from node 10 to node 0:"
            },
            {
                "from": "gpt",
                "value": "62."
            }
        ]
    },
    {
        "id": "flow-hard-graph562",
        "image": "data/flow/graph_visual/hard/graph562.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 1 with capacity 16,\nan edge from node 1 to node 6 with capacity 17,\nan edge from node 1 to node 11 with capacity 6,\nan edge from node 1 to node 7 with capacity 8,\nan edge from node 1 to node 2 with capacity 17,\nan edge from node 2 to node 3 with capacity 4,\nan edge from node 2 to node 8 with capacity 4,\nan edge from node 2 to node 12 with capacity 10,\nan edge from node 2 to node 5 with capacity 1,\nan edge from node 2 to node 14 with capacity 8,\nan edge from node 3 to node 6 with capacity 11,\nan edge from node 3 to node 4 with capacity 18,\nan edge from node 4 to node 3 with capacity 10,\nan edge from node 4 to node 13 with capacity 17,\nan edge from node 5 to node 12 with capacity 3,\nan edge from node 6 to node 3 with capacity 3,\nan edge from node 6 to node 8 with capacity 10,\nan edge from node 6 to node 10 with capacity 19,\nan edge from node 6 to node 2 with capacity 19,\nan edge from node 6 to node 1 with capacity 17,\nan edge from node 7 to node 11 with capacity 10,\nan edge from node 7 to node 14 with capacity 9,\nan edge from node 7 to node 13 with capacity 15,\nan edge from node 8 to node 3 with capacity 11,\nan edge from node 8 to node 4 with capacity 6,\nan edge from node 8 to node 11 with capacity 3,\nan edge from node 9 to node 8 with capacity 18,\nan edge from node 9 to node 6 with capacity 1,\nan edge from node 9 to node 14 with capacity 4,\nan edge from node 9 to node 13 with capacity 9,\nan edge from node 9 to node 1 with capacity 2,\nan edge from node 10 to node 7 with capacity 15,\nan edge from node 10 to node 2 with capacity 11,\nan edge from node 11 to node 3 with capacity 9,\nan edge from node 11 to node 6 with capacity 7,\nan edge from node 11 to node 1 with capacity 11,\nan edge from node 12 to node 4 with capacity 16,\nan edge from node 12 to node 11 with capacity 8,\nan edge from node 12 to node 7 with capacity 18,\nan edge from node 12 to node 14 with capacity 9,\nan edge from node 13 to node 7 with capacity 15,\nan edge from node 13 to node 14 with capacity 3,\nan edge from node 13 to node 2 with capacity 8,\nan edge from node 14 to node 8 with capacity 11,\nan edge from node 14 to node 6 with capacity 18,\nan edge from node 14 to node 9 with capacity 20,\nan edge from node 14 to node 0 with capacity 17,\nWhat is the maximum flow from node 10 to node 3:"
            },
            {
                "from": "gpt",
                "value": "26."
            }
        ]
    },
    {
        "id": "flow-hard-graph932",
        "image": "data/flow/graph_visual/hard/graph932.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 9 with capacity 3,\nan edge from node 0 to node 3 with capacity 1,\nan edge from node 0 to node 13 with capacity 1,\nan edge from node 0 to node 14 with capacity 10,\nan edge from node 1 to node 12 with capacity 8,\nan edge from node 1 to node 9 with capacity 2,\nan edge from node 1 to node 17 with capacity 16,\nan edge from node 1 to node 14 with capacity 14,\nan edge from node 2 to node 12 with capacity 14,\nan edge from node 2 to node 9 with capacity 13,\nan edge from node 2 to node 6 with capacity 12,\nan edge from node 2 to node 13 with capacity 4,\nan edge from node 2 to node 11 with capacity 5,\nan edge from node 2 to node 17 with capacity 1,\nan edge from node 3 to node 2 with capacity 13,\nan edge from node 3 to node 4 with capacity 6,\nan edge from node 4 to node 6 with capacity 1,\nan edge from node 4 to node 3 with capacity 14,\nan edge from node 4 to node 5 with capacity 3,\nan edge from node 5 to node 4 with capacity 14,\nan edge from node 5 to node 13 with capacity 12,\nan edge from node 6 to node 2 with capacity 18,\nan edge from node 6 to node 10 with capacity 12,\nan edge from node 6 to node 4 with capacity 18,\nan edge from node 6 to node 1 with capacity 4,\nan edge from node 6 to node 5 with capacity 4,\nan edge from node 6 to node 8 with capacity 10,\nan edge from node 7 to node 12 with capacity 8,\nan edge from node 7 to node 2 with capacity 14,\nan edge from node 7 to node 10 with capacity 12,\nan edge from node 8 to node 4 with capacity 7,\nan edge from node 8 to node 1 with capacity 7,\nan edge from node 8 to node 13 with capacity 2,\nan edge from node 8 to node 14 with capacity 19,\nan edge from node 9 to node 7 with capacity 13,\nan edge from node 9 to node 4 with capacity 20,\nan edge from node 9 to node 1 with capacity 9,\nan edge from node 9 to node 11 with capacity 1,\nan edge from node 9 to node 15 with capacity 2,\nan edge from node 9 to node 14 with capacity 5,\nan edge from node 9 to node 8 with capacity 9,\nan edge from node 10 to node 9 with capacity 10,\nan edge from node 10 to node 17 with capacity 5,\nan edge from node 11 to node 9 with capacity 15,\nan edge from node 11 to node 17 with capacity 11,\nan edge from node 11 to node 15 with capacity 17,\nan edge from node 12 to node 9 with capacity 9,\nan edge from node 12 to node 16 with capacity 18,\nan edge from node 12 to node 5 with capacity 18,\nan edge from node 13 to node 5 with capacity 3,\nan edge from node 13 to node 14 with capacity 2,\nan edge from node 14 to node 6 with capacity 18,\nan edge from node 14 to node 10 with capacity 7,\nan edge from node 14 to node 11 with capacity 1,\nan edge from node 14 to node 0 with capacity 16,\nan edge from node 15 to node 9 with capacity 6,\nan edge from node 15 to node 6 with capacity 17,\nan edge from node 15 to node 7 with capacity 8,\nan edge from node 15 to node 4 with capacity 14,\nan edge from node 15 to node 3 with capacity 11,\nan edge from node 15 to node 13 with capacity 14,\nan edge from node 15 to node 17 with capacity 11,\nan edge from node 15 to node 14 with capacity 14,\nan edge from node 16 to node 12 with capacity 2,\nan edge from node 16 to node 2 with capacity 1,\nan edge from node 16 to node 10 with capacity 2,\nan edge from node 16 to node 1 with capacity 12,\nan edge from node 17 to node 3 with capacity 8,\nan edge from node 17 to node 13 with capacity 8,\nan edge from node 17 to node 11 with capacity 5,\nWhat is the maximum flow from node 8 to node 0:"
            },
            {
                "from": "gpt",
                "value": "16."
            }
        ]
    },
    {
        "id": "flow-hard-graph390",
        "image": "data/flow/graph_visual/hard/graph390.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 5 with capacity 5,\nan edge from node 0 to node 13 with capacity 13,\nan edge from node 1 to node 5 with capacity 19,\nan edge from node 1 to node 2 with capacity 1,\nan edge from node 1 to node 10 with capacity 19,\nan edge from node 1 to node 13 with capacity 12,\nan edge from node 1 to node 11 with capacity 14,\nan edge from node 2 to node 5 with capacity 6,\nan edge from node 2 to node 10 with capacity 4,\nan edge from node 2 to node 7 with capacity 8,\nan edge from node 2 to node 6 with capacity 6,\nan edge from node 3 to node 5 with capacity 1,\nan edge from node 3 to node 2 with capacity 8,\nan edge from node 3 to node 1 with capacity 20,\nan edge from node 3 to node 7 with capacity 14,\nan edge from node 3 to node 4 with capacity 2,\nan edge from node 4 to node 5 with capacity 18,\nan edge from node 4 to node 2 with capacity 17,\nan edge from node 5 to node 1 with capacity 6,\nan edge from node 5 to node 3 with capacity 3,\nan edge from node 6 to node 13 with capacity 14,\nan edge from node 6 to node 4 with capacity 12,\nan edge from node 7 to node 5 with capacity 11,\nan edge from node 7 to node 11 with capacity 14,\nan edge from node 7 to node 6 with capacity 1,\nan edge from node 9 to node 6 with capacity 2,\nan edge from node 10 to node 7 with capacity 1,\nan edge from node 12 to node 2 with capacity 7,\nan edge from node 12 to node 13 with capacity 3,\nan edge from node 12 to node 7 with capacity 5,\nan edge from node 12 to node 3 with capacity 3,\nan edge from node 12 to node 6 with capacity 13,\nan edge from node 13 to node 5 with capacity 11,\nan edge from node 13 to node 11 with capacity 14,\nan edge from node 13 to node 6 with capacity 1,\nWhat is the maximum flow from node 2 to node 11:"
            },
            {
                "from": "gpt",
                "value": "21."
            }
        ]
    },
    {
        "id": "flow-hard-graph551",
        "image": "data/flow/graph_visual/hard/graph551.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 13 with capacity 1,\nan edge from node 0 to node 4 with capacity 14,\nan edge from node 0 to node 9 with capacity 7,\nan edge from node 0 to node 11 with capacity 6,\nan edge from node 1 to node 14 with capacity 11,\nan edge from node 1 to node 3 with capacity 9,\nan edge from node 1 to node 4 with capacity 7,\nan edge from node 2 to node 13 with capacity 8,\nan edge from node 2 to node 0 with capacity 9,\nan edge from node 2 to node 9 with capacity 18,\nan edge from node 2 to node 8 with capacity 18,\nan edge from node 2 to node 11 with capacity 8,\nan edge from node 3 to node 2 with capacity 17,\nan edge from node 3 to node 4 with capacity 15,\nan edge from node 3 to node 11 with capacity 20,\nan edge from node 4 to node 2 with capacity 11,\nan edge from node 4 to node 5 with capacity 1,\nan edge from node 4 to node 11 with capacity 14,\nan edge from node 5 to node 10 with capacity 5,\nan edge from node 5 to node 12 with capacity 1,\nan edge from node 5 to node 2 with capacity 10,\nan edge from node 5 to node 0 with capacity 9,\nan edge from node 5 to node 8 with capacity 17,\nan edge from node 6 to node 10 with capacity 13,\nan edge from node 6 to node 7 with capacity 18,\nan edge from node 6 to node 12 with capacity 9,\nan edge from node 6 to node 0 with capacity 19,\nan edge from node 6 to node 9 with capacity 13,\nan edge from node 6 to node 8 with capacity 16,\nan edge from node 6 to node 11 with capacity 2,\nan edge from node 7 to node 3 with capacity 2,\nan edge from node 7 to node 2 with capacity 12,\nan edge from node 7 to node 13 with capacity 14,\nan edge from node 7 to node 1 with capacity 18,\nan edge from node 7 to node 0 with capacity 2,\nan edge from node 7 to node 9 with capacity 8,\nan edge from node 8 to node 10 with capacity 1,\nan edge from node 8 to node 14 with capacity 2,\nan edge from node 8 to node 3 with capacity 15,\nan edge from node 8 to node 13 with capacity 9,\nan edge from node 8 to node 5 with capacity 19,\nan edge from node 8 to node 1 with capacity 14,\nan edge from node 9 to node 6 with capacity 19,\nan edge from node 9 to node 3 with capacity 15,\nan edge from node 9 to node 1 with capacity 12,\nan edge from node 9 to node 8 with capacity 6,\nan edge from node 10 to node 6 with capacity 11,\nan edge from node 10 to node 5 with capacity 18,\nan edge from node 11 to node 2 with capacity 11,\nan edge from node 11 to node 9 with capacity 4,\nan edge from node 12 to node 8 with capacity 1,\nan edge from node 12 to node 11 with capacity 11,\nan edge from node 13 to node 2 with capacity 14,\nan edge from node 13 to node 5 with capacity 5,\nan edge from node 13 to node 9 with capacity 7,\nan edge from node 13 to node 11 with capacity 10,\nan edge from node 14 to node 10 with capacity 18,\nan edge from node 14 to node 6 with capacity 15,\nan edge from node 14 to node 5 with capacity 18,\nan edge from node 14 to node 8 with capacity 9,\nan edge from node 14 to node 11 with capacity 13,\nWhat is the maximum flow from node 2 to node 8:"
            },
            {
                "from": "gpt",
                "value": "57."
            }
        ]
    },
    {
        "id": "flow-hard-graph377",
        "image": "data/flow/graph_visual/hard/graph377.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 10 with capacity 8,\nan edge from node 0 to node 11 with capacity 13,\nan edge from node 0 to node 8 with capacity 2,\nan edge from node 0 to node 7 with capacity 13,\nan edge from node 0 to node 4 with capacity 16,\nan edge from node 1 to node 2 with capacity 20,\nan edge from node 1 to node 5 with capacity 7,\nan edge from node 2 to node 0 with capacity 5,\nan edge from node 2 to node 12 with capacity 4,\nan edge from node 3 to node 10 with capacity 11,\nan edge from node 3 to node 0 with capacity 17,\nan edge from node 3 to node 2 with capacity 2,\nan edge from node 3 to node 9 with capacity 15,\nan edge from node 3 to node 13 with capacity 9,\nan edge from node 4 to node 10 with capacity 6,\nan edge from node 4 to node 8 with capacity 1,\nan edge from node 4 to node 12 with capacity 15,\nan edge from node 4 to node 5 with capacity 3,\nan edge from node 4 to node 13 with capacity 8,\nan edge from node 5 to node 10 with capacity 10,\nan edge from node 5 to node 3 with capacity 16,\nan edge from node 5 to node 8 with capacity 7,\nan edge from node 5 to node 12 with capacity 16,\nan edge from node 6 to node 7 with capacity 9,\nan edge from node 6 to node 9 with capacity 4,\nan edge from node 7 to node 0 with capacity 20,\nan edge from node 7 to node 2 with capacity 5,\nan edge from node 7 to node 1 with capacity 11,\nan edge from node 7 to node 9 with capacity 1,\nan edge from node 8 to node 10 with capacity 7,\nan edge from node 8 to node 3 with capacity 2,\nan edge from node 8 to node 11 with capacity 11,\nan edge from node 8 to node 4 with capacity 10,\nan edge from node 8 to node 6 with capacity 19,\nan edge from node 9 to node 0 with capacity 17,\nan edge from node 9 to node 7 with capacity 16,\nan edge from node 9 to node 5 with capacity 16,\nan edge from node 10 to node 12 with capacity 17,\nan edge from node 10 to node 7 with capacity 5,\nan edge from node 10 to node 4 with capacity 8,\nan edge from node 11 to node 8 with capacity 2,\nan edge from node 11 to node 2 with capacity 12,\nan edge from node 12 to node 9 with capacity 9,\nan edge from node 12 to node 13 with capacity 1,\nan edge from node 13 to node 10 with capacity 5,\nan edge from node 13 to node 0 with capacity 9,\nan edge from node 13 to node 11 with capacity 15,\nan edge from node 13 to node 1 with capacity 2,\nan edge from node 13 to node 4 with capacity 14,\nan edge from node 13 to node 9 with capacity 2,\nWhat is the maximum flow from node 3 to node 9:"
            },
            {
                "from": "gpt",
                "value": "31."
            }
        ]
    },
    {
        "id": "flow-hard-graph766",
        "image": "data/flow/graph_visual/hard/graph766.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 6 with capacity 6,\nan edge from node 0 to node 16 with capacity 16,\nan edge from node 0 to node 9 with capacity 11,\nan edge from node 0 to node 15 with capacity 16,\nan edge from node 1 to node 4 with capacity 18,\nan edge from node 2 to node 5 with capacity 1,\nan edge from node 2 to node 0 with capacity 5,\nan edge from node 2 to node 16 with capacity 16,\nan edge from node 2 to node 10 with capacity 19,\nan edge from node 2 to node 15 with capacity 4,\nan edge from node 2 to node 8 with capacity 7,\nan edge from node 3 to node 0 with capacity 6,\nan edge from node 3 to node 7 with capacity 5,\nan edge from node 3 to node 9 with capacity 6,\nan edge from node 3 to node 11 with capacity 9,\nan edge from node 3 to node 8 with capacity 12,\nan edge from node 4 to node 5 with capacity 8,\nan edge from node 4 to node 16 with capacity 19,\nan edge from node 4 to node 9 with capacity 5,\nan edge from node 4 to node 1 with capacity 10,\nan edge from node 4 to node 8 with capacity 11,\nan edge from node 4 to node 13 with capacity 17,\nan edge from node 5 to node 0 with capacity 6,\nan edge from node 6 to node 2 with capacity 7,\nan edge from node 6 to node 9 with capacity 9,\nan edge from node 6 to node 1 with capacity 18,\nan edge from node 6 to node 3 with capacity 7,\nan edge from node 6 to node 13 with capacity 16,\nan edge from node 7 to node 4 with capacity 5,\nan edge from node 7 to node 11 with capacity 5,\nan edge from node 7 to node 15 with capacity 13,\nan edge from node 7 to node 8 with capacity 15,\nan edge from node 8 to node 2 with capacity 13,\nan edge from node 8 to node 10 with capacity 14,\nan edge from node 8 to node 3 with capacity 2,\nan edge from node 9 to node 5 with capacity 12,\nan edge from node 9 to node 2 with capacity 4,\nan edge from node 9 to node 1 with capacity 1,\nan edge from node 9 to node 4 with capacity 14,\nan edge from node 9 to node 3 with capacity 7,\nan edge from node 9 to node 15 with capacity 8,\nan edge from node 10 to node 0 with capacity 16,\nan edge from node 10 to node 16 with capacity 2,\nan edge from node 10 to node 8 with capacity 1,\nan edge from node 10 to node 14 with capacity 18,\nan edge from node 11 to node 0 with capacity 10,\nan edge from node 11 to node 16 with capacity 5,\nan edge from node 11 to node 8 with capacity 5,\nan edge from node 12 to node 0 with capacity 6,\nan edge from node 12 to node 9 with capacity 10,\nan edge from node 12 to node 3 with capacity 12,\nan edge from node 12 to node 8 with capacity 10,\nan edge from node 13 to node 0 with capacity 10,\nan edge from node 13 to node 1 with capacity 10,\nan edge from node 13 to node 11 with capacity 16,\nan edge from node 13 to node 14 with capacity 14,\nan edge from node 14 to node 15 with capacity 15,\nan edge from node 15 to node 12 with capacity 7,\nan edge from node 15 to node 0 with capacity 16,\nan edge from node 15 to node 7 with capacity 9,\nan edge from node 15 to node 16 with capacity 14,\nan edge from node 15 to node 11 with capacity 6,\nan edge from node 16 to node 0 with capacity 5,\nan edge from node 16 to node 2 with capacity 9,\nan edge from node 16 to node 10 with capacity 12,\nWhat is the maximum flow from node 6 to node 9:"
            },
            {
                "from": "gpt",
                "value": "38."
            }
        ]
    },
    {
        "id": "flow-hard-graph883",
        "image": "data/flow/graph_visual/hard/graph883.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 6 with capacity 11,\nan edge from node 0 to node 11 with capacity 11,\nan edge from node 0 to node 14 with capacity 4,\nan edge from node 0 to node 17 with capacity 14,\nan edge from node 0 to node 13 with capacity 1,\nan edge from node 0 to node 1 with capacity 19,\nan edge from node 0 to node 4 with capacity 10,\nan edge from node 0 to node 2 with capacity 20,\nan edge from node 0 to node 5 with capacity 6,\nan edge from node 1 to node 14 with capacity 18,\nan edge from node 1 to node 12 with capacity 6,\nan edge from node 1 to node 5 with capacity 9,\nan edge from node 2 to node 10 with capacity 20,\nan edge from node 2 to node 15 with capacity 18,\nan edge from node 2 to node 7 with capacity 5,\nan edge from node 2 to node 13 with capacity 7,\nan edge from node 2 to node 3 with capacity 2,\nan edge from node 3 to node 11 with capacity 5,\nan edge from node 3 to node 7 with capacity 3,\nan edge from node 4 to node 14 with capacity 18,\nan edge from node 4 to node 15 with capacity 16,\nan edge from node 5 to node 11 with capacity 13,\nan edge from node 5 to node 17 with capacity 1,\nan edge from node 5 to node 4 with capacity 12,\nan edge from node 5 to node 12 with capacity 4,\nan edge from node 6 to node 9 with capacity 2,\nan edge from node 6 to node 16 with capacity 1,\nan edge from node 6 to node 5 with capacity 12,\nan edge from node 7 to node 10 with capacity 4,\nan edge from node 7 to node 14 with capacity 16,\nan edge from node 7 to node 9 with capacity 12,\nan edge from node 7 to node 17 with capacity 10,\nan edge from node 7 to node 12 with capacity 10,\nan edge from node 8 to node 10 with capacity 10,\nan edge from node 8 to node 9 with capacity 14,\nan edge from node 8 to node 15 with capacity 2,\nan edge from node 8 to node 17 with capacity 16,\nan edge from node 8 to node 7 with capacity 20,\nan edge from node 8 to node 4 with capacity 19,\nan edge from node 8 to node 2 with capacity 15,\nan edge from node 8 to node 12 with capacity 20,\nan edge from node 8 to node 5 with capacity 9,\nan edge from node 9 to node 6 with capacity 18,\nan edge from node 9 to node 10 with capacity 3,\nan edge from node 9 to node 11 with capacity 18,\nan edge from node 9 to node 17 with capacity 17,\nan edge from node 9 to node 2 with capacity 20,\nan edge from node 10 to node 6 with capacity 15,\nan edge from node 10 to node 17 with capacity 12,\nan edge from node 10 to node 12 with capacity 1,\nan edge from node 11 to node 1 with capacity 20,\nan edge from node 12 to node 14 with capacity 16,\nan edge from node 12 to node 17 with capacity 10,\nan edge from node 12 to node 4 with capacity 11,\nan edge from node 12 to node 2 with capacity 2,\nan edge from node 13 to node 10 with capacity 12,\nan edge from node 13 to node 9 with capacity 1,\nan edge from node 13 to node 17 with capacity 3,\nan edge from node 13 to node 0 with capacity 7,\nan edge from node 14 to node 15 with capacity 6,\nan edge from node 14 to node 0 with capacity 8,\nan edge from node 14 to node 4 with capacity 16,\nan edge from node 14 to node 12 with capacity 15,\nan edge from node 15 to node 17 with capacity 16,\nan edge from node 15 to node 16 with capacity 14,\nan edge from node 16 to node 10 with capacity 16,\nan edge from node 16 to node 7 with capacity 13,\nan edge from node 16 to node 0 with capacity 14,\nan edge from node 16 to node 2 with capacity 1,\nan edge from node 16 to node 12 with capacity 10,\nan edge from node 16 to node 5 with capacity 6,\nan edge from node 17 to node 14 with capacity 3,\nWhat is the maximum flow from node 8 to node 2:"
            },
            {
                "from": "gpt",
                "value": "58."
            }
        ]
    },
    {
        "id": "flow-hard-graph155",
        "image": "data/flow/graph_visual/hard/graph155.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 1 with capacity 11,\nan edge from node 0 to node 5 with capacity 9,\nan edge from node 0 to node 7 with capacity 18,\nan edge from node 1 to node 6 with capacity 11,\nan edge from node 1 to node 2 with capacity 18,\nan edge from node 1 to node 7 with capacity 3,\nan edge from node 2 to node 11 with capacity 10,\nan edge from node 2 to node 5 with capacity 3,\nan edge from node 2 to node 7 with capacity 17,\nan edge from node 3 to node 0 with capacity 20,\nan edge from node 3 to node 2 with capacity 14,\nan edge from node 4 to node 0 with capacity 13,\nan edge from node 4 to node 5 with capacity 14,\nan edge from node 4 to node 2 with capacity 2,\nan edge from node 5 to node 6 with capacity 4,\nan edge from node 5 to node 2 with capacity 2,\nan edge from node 6 to node 9 with capacity 9,\nan edge from node 6 to node 7 with capacity 2,\nan edge from node 7 to node 5 with capacity 12,\nan edge from node 7 to node 2 with capacity 13,\nan edge from node 8 to node 1 with capacity 12,\nan edge from node 9 to node 6 with capacity 20,\nan edge from node 9 to node 7 with capacity 8,\nan edge from node 10 to node 6 with capacity 8,\nan edge from node 11 to node 6 with capacity 1,\nan edge from node 11 to node 2 with capacity 11,\nWhat is the maximum flow from node 11 to node 5:"
            },
            {
                "from": "gpt",
                "value": "12."
            }
        ]
    },
    {
        "id": "flow-hard-graph924",
        "image": "data/flow/graph_visual/hard/graph924.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 17 with capacity 8,\nan edge from node 0 to node 6 with capacity 3,\nan edge from node 0 to node 12 with capacity 19,\nan edge from node 0 to node 8 with capacity 8,\nan edge from node 1 to node 6 with capacity 18,\nan edge from node 1 to node 4 with capacity 8,\nan edge from node 2 to node 17 with capacity 18,\nan edge from node 2 to node 13 with capacity 17,\nan edge from node 2 to node 14 with capacity 11,\nan edge from node 3 to node 13 with capacity 8,\nan edge from node 3 to node 16 with capacity 14,\nan edge from node 4 to node 1 with capacity 17,\nan edge from node 4 to node 7 with capacity 3,\nan edge from node 4 to node 3 with capacity 13,\nan edge from node 5 to node 10 with capacity 7,\nan edge from node 5 to node 7 with capacity 12,\nan edge from node 5 to node 17 with capacity 20,\nan edge from node 5 to node 0 with capacity 20,\nan edge from node 5 to node 16 with capacity 19,\nan edge from node 5 to node 12 with capacity 7,\nan edge from node 5 to node 15 with capacity 20,\nan edge from node 5 to node 8 with capacity 9,\nan edge from node 6 to node 10 with capacity 13,\nan edge from node 6 to node 3 with capacity 1,\nan edge from node 6 to node 14 with capacity 13,\nan edge from node 6 to node 16 with capacity 15,\nan edge from node 7 to node 1 with capacity 16,\nan edge from node 7 to node 0 with capacity 2,\nan edge from node 7 to node 5 with capacity 11,\nan edge from node 7 to node 13 with capacity 5,\nan edge from node 7 to node 11 with capacity 2,\nan edge from node 7 to node 14 with capacity 9,\nan edge from node 8 to node 2 with capacity 6,\nan edge from node 8 to node 9 with capacity 15,\nan edge from node 8 to node 7 with capacity 20,\nan edge from node 8 to node 17 with capacity 14,\nan edge from node 8 to node 11 with capacity 8,\nan edge from node 9 to node 10 with capacity 20,\nan edge from node 9 to node 6 with capacity 19,\nan edge from node 9 to node 0 with capacity 8,\nan edge from node 9 to node 3 with capacity 17,\nan edge from node 9 to node 13 with capacity 5,\nan edge from node 9 to node 14 with capacity 11,\nan edge from node 10 to node 2 with capacity 20,\nan edge from node 10 to node 7 with capacity 1,\nan edge from node 10 to node 17 with capacity 20,\nan edge from node 10 to node 6 with capacity 6,\nan edge from node 10 to node 5 with capacity 1,\nan edge from node 10 to node 14 with capacity 13,\nan edge from node 10 to node 4 with capacity 10,\nan edge from node 11 to node 2 with capacity 6,\nan edge from node 11 to node 9 with capacity 15,\nan edge from node 11 to node 7 with capacity 10,\nan edge from node 11 to node 17 with capacity 9,\nan edge from node 11 to node 16 with capacity 11,\nan edge from node 11 to node 4 with capacity 15,\nan edge from node 11 to node 15 with capacity 19,\nan edge from node 11 to node 8 with capacity 19,\nan edge from node 12 to node 3 with capacity 11,\nan edge from node 13 to node 2 with capacity 13,\nan edge from node 13 to node 10 with capacity 8,\nan edge from node 13 to node 1 with capacity 4,\nan edge from node 13 to node 16 with capacity 18,\nan edge from node 13 to node 12 with capacity 14,\nan edge from node 13 to node 8 with capacity 14,\nan edge from node 14 to node 1 with capacity 3,\nan edge from node 14 to node 17 with capacity 17,\nan edge from node 14 to node 5 with capacity 15,\nan edge from node 14 to node 13 with capacity 1,\nan edge from node 14 to node 11 with capacity 8,\nan edge from node 14 to node 8 with capacity 6,\nan edge from node 15 to node 10 with capacity 17,\nan edge from node 15 to node 1 with capacity 13,\nan edge from node 15 to node 5 with capacity 4,\nan edge from node 15 to node 11 with capacity 19,\nan edge from node 15 to node 4 with capacity 1,\nan edge from node 16 to node 2 with capacity 12,\nan edge from node 16 to node 10 with capacity 7,\nan edge from node 16 to node 7 with capacity 11,\nan edge from node 16 to node 5 with capacity 15,\nan edge from node 16 to node 11 with capacity 20,\nan edge from node 16 to node 14 with capacity 19,\nan edge from node 16 to node 12 with capacity 2,\nan edge from node 17 to node 10 with capacity 7,\nan edge from node 17 to node 9 with capacity 9,\nan edge from node 17 to node 16 with capacity 16,\nan edge from node 17 to node 12 with capacity 15,\nan edge from node 17 to node 8 with capacity 3,\nWhat is the maximum flow from node 8 to node 3:"
            },
            {
                "from": "gpt",
                "value": "42."
            }
        ]
    },
    {
        "id": "flow-hard-graph23",
        "image": "data/flow/graph_visual/hard/graph23.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 5 with capacity 2,\nan edge from node 0 to node 7 with capacity 9,\nan edge from node 0 to node 2 with capacity 10,\nan edge from node 1 to node 4 with capacity 3,\nan edge from node 1 to node 10 with capacity 6,\nan edge from node 2 to node 1 with capacity 14,\nan edge from node 3 to node 9 with capacity 12,\nan edge from node 3 to node 6 with capacity 14,\nan edge from node 3 to node 1 with capacity 5,\nan edge from node 4 to node 0 with capacity 6,\nan edge from node 4 to node 6 with capacity 18,\nan edge from node 4 to node 7 with capacity 13,\nan edge from node 5 to node 0 with capacity 6,\nan edge from node 5 to node 6 with capacity 19,\nan edge from node 5 to node 3 with capacity 12,\nan edge from node 6 to node 0 with capacity 3,\nan edge from node 6 to node 9 with capacity 16,\nan edge from node 7 to node 2 with capacity 5,\nan edge from node 8 to node 0 with capacity 16,\nan edge from node 9 to node 10 with capacity 11,\nan edge from node 9 to node 6 with capacity 11,\nan edge from node 9 to node 7 with capacity 9,\nan edge from node 9 to node 1 with capacity 15,\nan edge from node 10 to node 2 with capacity 1,\nWhat is the maximum flow from node 7 to node 10:"
            },
            {
                "from": "gpt",
                "value": "5."
            }
        ]
    },
    {
        "id": "flow-hard-graph847",
        "image": "data/flow/graph_visual/hard/graph847.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 3 with capacity 16,\nan edge from node 0 to node 15 with capacity 5,\nan edge from node 0 to node 4 with capacity 11,\nan edge from node 1 to node 10 with capacity 5,\nan edge from node 1 to node 7 with capacity 4,\nan edge from node 1 to node 15 with capacity 17,\nan edge from node 1 to node 12 with capacity 16,\nan edge from node 1 to node 0 with capacity 15,\nan edge from node 2 to node 13 with capacity 16,\nan edge from node 2 to node 3 with capacity 9,\nan edge from node 2 to node 4 with capacity 10,\nan edge from node 3 to node 4 with capacity 20,\nan edge from node 3 to node 11 with capacity 2,\nan edge from node 4 to node 13 with capacity 14,\nan edge from node 4 to node 3 with capacity 16,\nan edge from node 4 to node 12 with capacity 20,\nan edge from node 5 to node 16 with capacity 18,\nan edge from node 5 to node 15 with capacity 1,\nan edge from node 5 to node 4 with capacity 2,\nan edge from node 5 to node 17 with capacity 12,\nan edge from node 6 to node 13 with capacity 5,\nan edge from node 6 to node 3 with capacity 17,\nan edge from node 6 to node 15 with capacity 12,\nan edge from node 6 to node 4 with capacity 20,\nan edge from node 6 to node 0 with capacity 10,\nan edge from node 7 to node 8 with capacity 15,\nan edge from node 7 to node 16 with capacity 1,\nan edge from node 7 to node 1 with capacity 13,\nan edge from node 7 to node 5 with capacity 13,\nan edge from node 7 to node 15 with capacity 17,\nan edge from node 7 to node 4 with capacity 10,\nan edge from node 7 to node 14 with capacity 9,\nan edge from node 7 to node 6 with capacity 1,\nan edge from node 8 to node 7 with capacity 10,\nan edge from node 8 to node 14 with capacity 17,\nan edge from node 8 to node 6 with capacity 12,\nan edge from node 9 to node 8 with capacity 16,\nan edge from node 9 to node 10 with capacity 16,\nan edge from node 9 to node 2 with capacity 15,\nan edge from node 9 to node 7 with capacity 18,\nan edge from node 10 to node 8 with capacity 18,\nan edge from node 10 to node 15 with capacity 8,\nan edge from node 10 to node 12 with capacity 8,\nan edge from node 10 to node 0 with capacity 13,\nan edge from node 11 to node 16 with capacity 17,\nan edge from node 11 to node 1 with capacity 14,\nan edge from node 11 to node 17 with capacity 7,\nan edge from node 12 to node 13 with capacity 1,\nan edge from node 12 to node 16 with capacity 3,\nan edge from node 12 to node 15 with capacity 7,\nan edge from node 12 to node 17 with capacity 2,\nan edge from node 12 to node 6 with capacity 1,\nan edge from node 13 to node 16 with capacity 16,\nan edge from node 13 to node 9 with capacity 5,\nan edge from node 13 to node 12 with capacity 8,\nan edge from node 14 to node 8 with capacity 11,\nan edge from node 14 to node 17 with capacity 16,\nan edge from node 14 to node 0 with capacity 18,\nan edge from node 14 to node 11 with capacity 19,\nan edge from node 15 to node 13 with capacity 14,\nan edge from node 15 to node 10 with capacity 17,\nan edge from node 15 to node 4 with capacity 2,\nan edge from node 15 to node 9 with capacity 19,\nan edge from node 16 to node 13 with capacity 18,\nan edge from node 16 to node 8 with capacity 10,\nan edge from node 16 to node 15 with capacity 2,\nan edge from node 16 to node 17 with capacity 10,\nan edge from node 16 to node 12 with capacity 16,\nan edge from node 16 to node 6 with capacity 9,\nan edge from node 16 to node 11 with capacity 3,\nan edge from node 17 to node 10 with capacity 19,\nan edge from node 17 to node 2 with capacity 13,\nWhat is the maximum flow from node 11 to node 17:"
            },
            {
                "from": "gpt",
                "value": "38."
            }
        ]
    },
    {
        "id": "flow-hard-graph522",
        "image": "data/flow/graph_visual/hard/graph522.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 6 with capacity 3,\nan edge from node 0 to node 12 with capacity 13,\nan edge from node 1 to node 4 with capacity 18,\nan edge from node 2 to node 13 with capacity 5,\nan edge from node 2 to node 11 with capacity 6,\nan edge from node 2 to node 10 with capacity 13,\nan edge from node 2 to node 12 with capacity 1,\nan edge from node 2 to node 3 with capacity 1,\nan edge from node 3 to node 13 with capacity 16,\nan edge from node 3 to node 11 with capacity 4,\nan edge from node 3 to node 6 with capacity 12,\nan edge from node 3 to node 5 with capacity 4,\nan edge from node 4 to node 14 with capacity 13,\nan edge from node 4 to node 1 with capacity 5,\nan edge from node 4 to node 9 with capacity 8,\nan edge from node 4 to node 3 with capacity 3,\nan edge from node 4 to node 8 with capacity 9,\nan edge from node 5 to node 13 with capacity 6,\nan edge from node 5 to node 7 with capacity 7,\nan edge from node 5 to node 10 with capacity 9,\nan edge from node 6 to node 7 with capacity 20,\nan edge from node 6 to node 10 with capacity 2,\nan edge from node 6 to node 12 with capacity 18,\nan edge from node 7 to node 13 with capacity 8,\nan edge from node 7 to node 3 with capacity 7,\nan edge from node 7 to node 8 with capacity 11,\nan edge from node 8 to node 1 with capacity 5,\nan edge from node 8 to node 5 with capacity 15,\nan edge from node 8 to node 3 with capacity 20,\nan edge from node 9 to node 1 with capacity 4,\nan edge from node 9 to node 11 with capacity 19,\nan edge from node 9 to node 12 with capacity 7,\nan edge from node 10 to node 11 with capacity 7,\nan edge from node 10 to node 6 with capacity 3,\nan edge from node 10 to node 4 with capacity 14,\nan edge from node 10 to node 8 with capacity 5,\nan edge from node 11 to node 1 with capacity 1,\nan edge from node 11 to node 0 with capacity 13,\nan edge from node 12 to node 13 with capacity 4,\nan edge from node 12 to node 1 with capacity 19,\nan edge from node 12 to node 6 with capacity 10,\nan edge from node 12 to node 0 with capacity 9,\nan edge from node 13 to node 6 with capacity 12,\nan edge from node 13 to node 10 with capacity 13,\nan edge from node 13 to node 0 with capacity 2,\nan edge from node 13 to node 8 with capacity 12,\nan edge from node 14 to node 1 with capacity 20,\nan edge from node 14 to node 7 with capacity 6,\nan edge from node 14 to node 9 with capacity 20,\nan edge from node 14 to node 6 with capacity 20,\nan edge from node 14 to node 10 with capacity 1,\nan edge from node 14 to node 0 with capacity 13,\nWhat is the maximum flow from node 14 to node 3:"
            },
            {
                "from": "gpt",
                "value": "30."
            }
        ]
    },
    {
        "id": "flow-hard-graph378",
        "image": "data/flow/graph_visual/hard/graph378.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 4 with capacity 12,\nan edge from node 0 to node 13 with capacity 20,\nan edge from node 1 to node 4 with capacity 6,\nan edge from node 1 to node 8 with capacity 2,\nan edge from node 1 to node 9 with capacity 9,\nan edge from node 1 to node 11 with capacity 1,\nan edge from node 2 to node 3 with capacity 17,\nan edge from node 2 to node 8 with capacity 8,\nan edge from node 2 to node 9 with capacity 18,\nan edge from node 2 to node 7 with capacity 9,\nan edge from node 3 to node 1 with capacity 6,\nan edge from node 3 to node 5 with capacity 7,\nan edge from node 3 to node 10 with capacity 7,\nan edge from node 4 to node 3 with capacity 19,\nan edge from node 4 to node 8 with capacity 3,\nan edge from node 4 to node 2 with capacity 4,\nan edge from node 4 to node 1 with capacity 15,\nan edge from node 4 to node 0 with capacity 15,\nan edge from node 4 to node 11 with capacity 10,\nan edge from node 5 to node 4 with capacity 9,\nan edge from node 5 to node 6 with capacity 8,\nan edge from node 5 to node 7 with capacity 14,\nan edge from node 5 to node 0 with capacity 16,\nan edge from node 5 to node 10 with capacity 10,\nan edge from node 5 to node 12 with capacity 10,\nan edge from node 6 to node 8 with capacity 2,\nan edge from node 6 to node 7 with capacity 3,\nan edge from node 6 to node 5 with capacity 10,\nan edge from node 6 to node 10 with capacity 19,\nan edge from node 7 to node 13 with capacity 3,\nan edge from node 7 to node 0 with capacity 7,\nan edge from node 8 to node 1 with capacity 19,\nan edge from node 8 to node 9 with capacity 15,\nan edge from node 8 to node 13 with capacity 2,\nan edge from node 8 to node 0 with capacity 3,\nan edge from node 8 to node 12 with capacity 13,\nan edge from node 9 to node 13 with capacity 20,\nan edge from node 9 to node 0 with capacity 3,\nan edge from node 9 to node 11 with capacity 12,\nan edge from node 9 to node 10 with capacity 12,\nan edge from node 10 to node 9 with capacity 3,\nan edge from node 11 to node 9 with capacity 1,\nan edge from node 11 to node 7 with capacity 2,\nan edge from node 11 to node 13 with capacity 16,\nan edge from node 12 to node 3 with capacity 5,\nan edge from node 12 to node 5 with capacity 2,\nan edge from node 13 to node 4 with capacity 20,\nan edge from node 13 to node 0 with capacity 17,\nan edge from node 13 to node 11 with capacity 6,\nWhat is the maximum flow from node 13 to node 4:"
            },
            {
                "from": "gpt",
                "value": "32."
            }
        ]
    },
    {
        "id": "flow-hard-graph474",
        "image": "data/flow/graph_visual/hard/graph474.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 11 with capacity 15,\nan edge from node 1 to node 0 with capacity 18,\nan edge from node 1 to node 8 with capacity 19,\nan edge from node 1 to node 13 with capacity 9,\nan edge from node 1 to node 3 with capacity 4,\nan edge from node 1 to node 6 with capacity 5,\nan edge from node 2 to node 8 with capacity 13,\nan edge from node 2 to node 13 with capacity 4,\nan edge from node 2 to node 1 with capacity 8,\nan edge from node 4 to node 8 with capacity 12,\nan edge from node 4 to node 11 with capacity 10,\nan edge from node 4 to node 1 with capacity 8,\nan edge from node 5 to node 12 with capacity 15,\nan edge from node 6 to node 4 with capacity 5,\nan edge from node 6 to node 1 with capacity 20,\nan edge from node 7 to node 4 with capacity 11,\nan edge from node 7 to node 5 with capacity 19,\nan edge from node 7 to node 12 with capacity 3,\nan edge from node 7 to node 9 with capacity 18,\nan edge from node 8 to node 0 with capacity 4,\nan edge from node 8 to node 11 with capacity 7,\nan edge from node 8 to node 9 with capacity 18,\nan edge from node 9 to node 0 with capacity 20,\nan edge from node 9 to node 5 with capacity 12,\nan edge from node 9 to node 1 with capacity 5,\nan edge from node 10 to node 5 with capacity 4,\nan edge from node 10 to node 11 with capacity 3,\nan edge from node 10 to node 1 with capacity 2,\nan edge from node 10 to node 6 with capacity 3,\nan edge from node 11 to node 8 with capacity 3,\nan edge from node 11 to node 13 with capacity 20,\nan edge from node 11 to node 1 with capacity 15,\nan edge from node 11 to node 9 with capacity 19,\nan edge from node 12 to node 3 with capacity 12,\nan edge from node 13 to node 0 with capacity 18,\nan edge from node 13 to node 5 with capacity 19,\nan edge from node 13 to node 8 with capacity 8,\nan edge from node 13 to node 3 with capacity 17,\nan edge from node 13 to node 1 with capacity 9,\nan edge from node 13 to node 9 with capacity 9,\nan edge from node 13 to node 7 with capacity 17,\nWhat is the maximum flow from node 6 to node 3:"
            },
            {
                "from": "gpt",
                "value": "25."
            }
        ]
    },
    {
        "id": "flow-hard-graph760",
        "image": "data/flow/graph_visual/hard/graph760.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 8 with capacity 2,\nan edge from node 1 to node 7 with capacity 3,\nan edge from node 1 to node 15 with capacity 3,\nan edge from node 1 to node 10 with capacity 20,\nan edge from node 2 to node 7 with capacity 8,\nan edge from node 2 to node 1 with capacity 18,\nan edge from node 2 to node 0 with capacity 16,\nan edge from node 2 to node 10 with capacity 15,\nan edge from node 3 to node 7 with capacity 10,\nan edge from node 3 to node 12 with capacity 8,\nan edge from node 3 to node 10 with capacity 8,\nan edge from node 4 to node 6 with capacity 18,\nan edge from node 4 to node 16 with capacity 3,\nan edge from node 4 to node 5 with capacity 9,\nan edge from node 5 to node 12 with capacity 1,\nan edge from node 5 to node 6 with capacity 18,\nan edge from node 5 to node 0 with capacity 14,\nan edge from node 5 to node 13 with capacity 12,\nan edge from node 5 to node 10 with capacity 18,\nan edge from node 6 to node 14 with capacity 10,\nan edge from node 6 to node 15 with capacity 17,\nan edge from node 6 to node 9 with capacity 19,\nan edge from node 6 to node 13 with capacity 7,\nan edge from node 6 to node 5 with capacity 18,\nan edge from node 6 to node 10 with capacity 3,\nan edge from node 7 to node 15 with capacity 16,\nan edge from node 7 to node 4 with capacity 2,\nan edge from node 7 to node 0 with capacity 13,\nan edge from node 7 to node 10 with capacity 8,\nan edge from node 8 to node 1 with capacity 6,\nan edge from node 8 to node 4 with capacity 5,\nan edge from node 8 to node 0 with capacity 8,\nan edge from node 8 to node 2 with capacity 19,\nan edge from node 8 to node 9 with capacity 12,\nan edge from node 9 to node 7 with capacity 17,\nan edge from node 9 to node 14 with capacity 14,\nan edge from node 9 to node 0 with capacity 15,\nan edge from node 10 to node 14 with capacity 20,\nan edge from node 10 to node 8 with capacity 20,\nan edge from node 10 to node 1 with capacity 1,\nan edge from node 10 to node 6 with capacity 19,\nan edge from node 10 to node 2 with capacity 15,\nan edge from node 10 to node 13 with capacity 1,\nan edge from node 11 to node 9 with capacity 5,\nan edge from node 12 to node 14 with capacity 10,\nan edge from node 12 to node 8 with capacity 8,\nan edge from node 12 to node 6 with capacity 12,\nan edge from node 12 to node 16 with capacity 10,\nan edge from node 12 to node 3 with capacity 20,\nan edge from node 12 to node 2 with capacity 19,\nan edge from node 12 to node 11 with capacity 4,\nan edge from node 12 to node 13 with capacity 2,\nan edge from node 13 to node 8 with capacity 20,\nan edge from node 13 to node 15 with capacity 3,\nan edge from node 13 to node 4 with capacity 17,\nan edge from node 13 to node 0 with capacity 20,\nan edge from node 13 to node 2 with capacity 13,\nan edge from node 13 to node 11 with capacity 5,\nan edge from node 14 to node 15 with capacity 2,\nan edge from node 14 to node 3 with capacity 2,\nan edge from node 14 to node 0 with capacity 16,\nan edge from node 14 to node 9 with capacity 11,\nan edge from node 15 to node 7 with capacity 11,\nan edge from node 15 to node 16 with capacity 1,\nan edge from node 15 to node 0 with capacity 13,\nan edge from node 15 to node 13 with capacity 6,\nan edge from node 15 to node 5 with capacity 19,\nan edge from node 16 to node 14 with capacity 7,\nan edge from node 16 to node 6 with capacity 18,\nan edge from node 16 to node 0 with capacity 10,\nan edge from node 16 to node 9 with capacity 14,\nan edge from node 16 to node 10 with capacity 15,\nWhat is the maximum flow from node 5 to node 13:"
            },
            {
                "from": "gpt",
                "value": "28."
            }
        ]
    },
    {
        "id": "flow-hard-graph754",
        "image": "data/flow/graph_visual/hard/graph754.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 10 with capacity 14,\nan edge from node 0 to node 16 with capacity 14,\nan edge from node 0 to node 12 with capacity 14,\nan edge from node 0 to node 7 with capacity 4,\nan edge from node 0 to node 13 with capacity 19,\nan edge from node 0 to node 6 with capacity 17,\nan edge from node 1 to node 14 with capacity 1,\nan edge from node 1 to node 13 with capacity 9,\nan edge from node 2 to node 4 with capacity 10,\nan edge from node 2 to node 10 with capacity 2,\nan edge from node 2 to node 16 with capacity 14,\nan edge from node 2 to node 14 with capacity 15,\nan edge from node 2 to node 3 with capacity 11,\nan edge from node 2 to node 6 with capacity 12,\nan edge from node 3 to node 0 with capacity 6,\nan edge from node 3 to node 11 with capacity 16,\nan edge from node 3 to node 9 with capacity 17,\nan edge from node 3 to node 6 with capacity 9,\nan edge from node 4 to node 0 with capacity 4,\nan edge from node 4 to node 9 with capacity 5,\nan edge from node 5 to node 11 with capacity 12,\nan edge from node 5 to node 8 with capacity 5,\nan edge from node 5 to node 7 with capacity 1,\nan edge from node 6 to node 2 with capacity 10,\nan edge from node 6 to node 0 with capacity 12,\nan edge from node 6 to node 11 with capacity 10,\nan edge from node 6 to node 8 with capacity 3,\nan edge from node 6 to node 14 with capacity 1,\nan edge from node 6 to node 3 with capacity 15,\nan edge from node 7 to node 16 with capacity 9,\nan edge from node 7 to node 9 with capacity 11,\nan edge from node 7 to node 6 with capacity 5,\nan edge from node 8 to node 1 with capacity 7,\nan edge from node 8 to node 9 with capacity 17,\nan edge from node 8 to node 13 with capacity 9,\nan edge from node 8 to node 6 with capacity 10,\nan edge from node 9 to node 11 with capacity 3,\nan edge from node 9 to node 15 with capacity 14,\nan edge from node 10 to node 1 with capacity 6,\nan edge from node 10 to node 11 with capacity 3,\nan edge from node 10 to node 9 with capacity 14,\nan edge from node 10 to node 7 with capacity 4,\nan edge from node 10 to node 3 with capacity 3,\nan edge from node 11 to node 12 with capacity 20,\nan edge from node 11 to node 9 with capacity 17,\nan edge from node 11 to node 15 with capacity 5,\nan edge from node 11 to node 5 with capacity 6,\nan edge from node 12 to node 4 with capacity 20,\nan edge from node 12 to node 2 with capacity 2,\nan edge from node 12 to node 10 with capacity 12,\nan edge from node 12 to node 14 with capacity 3,\nan edge from node 12 to node 5 with capacity 10,\nan edge from node 13 to node 16 with capacity 18,\nan edge from node 13 to node 8 with capacity 9,\nan edge from node 13 to node 7 with capacity 13,\nan edge from node 13 to node 14 with capacity 17,\nan edge from node 13 to node 5 with capacity 19,\nan edge from node 13 to node 6 with capacity 7,\nan edge from node 14 to node 2 with capacity 4,\nan edge from node 14 to node 1 with capacity 10,\nan edge from node 14 to node 8 with capacity 14,\nan edge from node 14 to node 5 with capacity 20,\nan edge from node 14 to node 3 with capacity 18,\nan edge from node 15 to node 4 with capacity 8,\nan edge from node 15 to node 1 with capacity 8,\nan edge from node 15 to node 11 with capacity 12,\nan edge from node 15 to node 12 with capacity 4,\nan edge from node 15 to node 7 with capacity 11,\nan edge from node 15 to node 5 with capacity 2,\nan edge from node 16 to node 1 with capacity 16,\nan edge from node 16 to node 0 with capacity 7,\nan edge from node 16 to node 7 with capacity 1,\nan edge from node 16 to node 14 with capacity 15,\nWhat is the maximum flow from node 5 to node 2:"
            },
            {
                "from": "gpt",
                "value": "16."
            }
        ]
    },
    {
        "id": "flow-hard-graph259",
        "image": "data/flow/graph_visual/hard/graph259.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 9 with capacity 4,\nan edge from node 0 to node 2 with capacity 5,\nan edge from node 1 to node 0 with capacity 18,\nan edge from node 1 to node 5 with capacity 1,\nan edge from node 2 to node 4 with capacity 12,\nan edge from node 2 to node 11 with capacity 7,\nan edge from node 3 to node 5 with capacity 10,\nan edge from node 3 to node 12 with capacity 19,\nan edge from node 4 to node 5 with capacity 17,\nan edge from node 4 to node 10 with capacity 16,\nan edge from node 4 to node 6 with capacity 17,\nan edge from node 5 to node 8 with capacity 8,\nan edge from node 5 to node 4 with capacity 18,\nan edge from node 5 to node 11 with capacity 9,\nan edge from node 6 to node 5 with capacity 14,\nan edge from node 6 to node 4 with capacity 8,\nan edge from node 6 to node 9 with capacity 19,\nan edge from node 6 to node 1 with capacity 4,\nan edge from node 6 to node 10 with capacity 4,\nan edge from node 7 to node 3 with capacity 6,\nan edge from node 7 to node 4 with capacity 5,\nan edge from node 7 to node 10 with capacity 5,\nan edge from node 8 to node 9 with capacity 13,\nan edge from node 9 to node 4 with capacity 17,\nan edge from node 10 to node 8 with capacity 5,\nan edge from node 10 to node 5 with capacity 9,\nan edge from node 10 to node 1 with capacity 20,\nan edge from node 10 to node 12 with capacity 6,\nan edge from node 11 to node 4 with capacity 10,\nan edge from node 11 to node 1 with capacity 8,\nan edge from node 11 to node 12 with capacity 19,\nan edge from node 12 to node 5 with capacity 16,\nan edge from node 12 to node 4 with capacity 1,\nan edge from node 12 to node 7 with capacity 1,\nWhat is the maximum flow from node 10 to node 11:"
            },
            {
                "from": "gpt",
                "value": "14."
            }
        ]
    },
    {
        "id": "flow-hard-graph113",
        "image": "data/flow/graph_visual/hard/graph113.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 10 with capacity 20,\nan edge from node 0 to node 5 with capacity 2,\nan edge from node 0 to node 7 with capacity 19,\nan edge from node 2 to node 5 with capacity 14,\nan edge from node 2 to node 3 with capacity 10,\nan edge from node 2 to node 8 with capacity 7,\nan edge from node 2 to node 1 with capacity 3,\nan edge from node 3 to node 9 with capacity 20,\nan edge from node 3 to node 5 with capacity 19,\nan edge from node 3 to node 0 with capacity 4,\nan edge from node 3 to node 2 with capacity 11,\nan edge from node 4 to node 5 with capacity 5,\nan edge from node 4 to node 0 with capacity 15,\nan edge from node 5 to node 9 with capacity 6,\nan edge from node 5 to node 2 with capacity 6,\nan edge from node 6 to node 4 with capacity 8,\nan edge from node 6 to node 5 with capacity 7,\nan edge from node 6 to node 0 with capacity 18,\nan edge from node 6 to node 3 with capacity 1,\nan edge from node 7 to node 1 with capacity 1,\nan edge from node 7 to node 2 with capacity 1,\nan edge from node 8 to node 5 with capacity 5,\nan edge from node 8 to node 0 with capacity 9,\nan edge from node 9 to node 1 with capacity 7,\nan edge from node 10 to node 8 with capacity 15,\nWhat is the maximum flow from node 10 to node 9:"
            },
            {
                "from": "gpt",
                "value": "8."
            }
        ]
    },
    {
        "id": "flow-hard-graph520",
        "image": "data/flow/graph_visual/hard/graph520.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 10 with capacity 4,\nan edge from node 0 to node 2 with capacity 17,\nan edge from node 0 to node 4 with capacity 8,\nan edge from node 0 to node 7 with capacity 7,\nan edge from node 1 to node 8 with capacity 6,\nan edge from node 1 to node 9 with capacity 16,\nan edge from node 1 to node 12 with capacity 15,\nan edge from node 2 to node 0 with capacity 1,\nan edge from node 2 to node 13 with capacity 16,\nan edge from node 2 to node 6 with capacity 14,\nan edge from node 2 to node 7 with capacity 14,\nan edge from node 3 to node 10 with capacity 12,\nan edge from node 3 to node 13 with capacity 12,\nan edge from node 3 to node 14 with capacity 16,\nan edge from node 3 to node 1 with capacity 13,\nan edge from node 4 to node 14 with capacity 4,\nan edge from node 5 to node 0 with capacity 4,\nan edge from node 5 to node 13 with capacity 8,\nan edge from node 5 to node 3 with capacity 6,\nan edge from node 5 to node 1 with capacity 2,\nan edge from node 5 to node 7 with capacity 6,\nan edge from node 5 to node 12 with capacity 9,\nan edge from node 6 to node 13 with capacity 8,\nan edge from node 6 to node 12 with capacity 16,\nan edge from node 7 to node 0 with capacity 7,\nan edge from node 7 to node 13 with capacity 19,\nan edge from node 7 to node 5 with capacity 16,\nan edge from node 7 to node 12 with capacity 15,\nan edge from node 8 to node 13 with capacity 2,\nan edge from node 8 to node 14 with capacity 17,\nan edge from node 8 to node 6 with capacity 18,\nan edge from node 9 to node 14 with capacity 18,\nan edge from node 9 to node 8 with capacity 18,\nan edge from node 9 to node 6 with capacity 14,\nan edge from node 10 to node 12 with capacity 18,\nan edge from node 11 to node 10 with capacity 6,\nan edge from node 11 to node 8 with capacity 8,\nan edge from node 11 to node 4 with capacity 20,\nan edge from node 11 to node 1 with capacity 19,\nan edge from node 11 to node 7 with capacity 9,\nan edge from node 12 to node 0 with capacity 9,\nan edge from node 12 to node 6 with capacity 4,\nan edge from node 12 to node 11 with capacity 19,\nan edge from node 12 to node 5 with capacity 16,\nan edge from node 12 to node 7 with capacity 7,\nan edge from node 13 to node 14 with capacity 6,\nan edge from node 13 to node 9 with capacity 20,\nan edge from node 14 to node 0 with capacity 2,\nan edge from node 14 to node 9 with capacity 16,\nWhat is the maximum flow from node 13 to node 5:"
            },
            {
                "from": "gpt",
                "value": "18."
            }
        ]
    },
    {
        "id": "flow-hard-graph767",
        "image": "data/flow/graph_visual/hard/graph767.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 11 with capacity 6,\nan edge from node 0 to node 12 with capacity 7,\nan edge from node 0 to node 7 with capacity 13,\nan edge from node 1 to node 2 with capacity 3,\nan edge from node 1 to node 0 with capacity 10,\nan edge from node 1 to node 14 with capacity 11,\nan edge from node 2 to node 5 with capacity 11,\nan edge from node 2 to node 4 with capacity 2,\nan edge from node 2 to node 6 with capacity 19,\nan edge from node 3 to node 11 with capacity 19,\nan edge from node 3 to node 12 with capacity 18,\nan edge from node 3 to node 14 with capacity 15,\nan edge from node 4 to node 16 with capacity 15,\nan edge from node 4 to node 0 with capacity 13,\nan edge from node 5 to node 13 with capacity 18,\nan edge from node 5 to node 2 with capacity 16,\nan edge from node 5 to node 16 with capacity 12,\nan edge from node 5 to node 7 with capacity 5,\nan edge from node 5 to node 6 with capacity 2,\nan edge from node 6 to node 16 with capacity 13,\nan edge from node 6 to node 3 with capacity 4,\nan edge from node 6 to node 0 with capacity 5,\nan edge from node 6 to node 7 with capacity 14,\nan edge from node 6 to node 9 with capacity 18,\nan edge from node 7 to node 12 with capacity 4,\nan edge from node 7 to node 1 with capacity 16,\nan edge from node 8 to node 0 with capacity 9,\nan edge from node 9 to node 13 with capacity 1,\nan edge from node 9 to node 8 with capacity 4,\nan edge from node 9 to node 5 with capacity 2,\nan edge from node 9 to node 3 with capacity 6,\nan edge from node 10 to node 13 with capacity 1,\nan edge from node 10 to node 3 with capacity 12,\nan edge from node 10 to node 0 with capacity 7,\nan edge from node 11 to node 13 with capacity 17,\nan edge from node 11 to node 2 with capacity 11,\nan edge from node 11 to node 3 with capacity 5,\nan edge from node 11 to node 7 with capacity 9,\nan edge from node 11 to node 14 with capacity 9,\nan edge from node 12 to node 2 with capacity 8,\nan edge from node 12 to node 0 with capacity 14,\nan edge from node 12 to node 15 with capacity 13,\nan edge from node 12 to node 10 with capacity 12,\nan edge from node 13 to node 12 with capacity 16,\nan edge from node 13 to node 15 with capacity 4,\nan edge from node 14 to node 13 with capacity 17,\nan edge from node 14 to node 8 with capacity 11,\nan edge from node 14 to node 2 with capacity 14,\nan edge from node 14 to node 3 with capacity 1,\nan edge from node 14 to node 10 with capacity 3,\nan edge from node 14 to node 6 with capacity 10,\nan edge from node 15 to node 2 with capacity 2,\nan edge from node 15 to node 10 with capacity 16,\nan edge from node 16 to node 11 with capacity 10,\nan edge from node 16 to node 12 with capacity 12,\nWhat is the maximum flow from node 11 to node 6:"
            },
            {
                "from": "gpt",
                "value": "31."
            }
        ]
    },
    {
        "id": "flow-hard-graph772",
        "image": "data/flow/graph_visual/hard/graph772.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 3 with capacity 9,\nan edge from node 0 to node 12 with capacity 9,\nan edge from node 0 to node 10 with capacity 11,\nan edge from node 0 to node 7 with capacity 17,\nan edge from node 0 to node 13 with capacity 1,\nan edge from node 1 to node 4 with capacity 18,\nan edge from node 1 to node 13 with capacity 3,\nan edge from node 1 to node 5 with capacity 15,\nan edge from node 1 to node 8 with capacity 19,\nan edge from node 1 to node 16 with capacity 10,\nan edge from node 2 to node 4 with capacity 5,\nan edge from node 2 to node 10 with capacity 17,\nan edge from node 2 to node 11 with capacity 14,\nan edge from node 2 to node 6 with capacity 3,\nan edge from node 2 to node 5 with capacity 5,\nan edge from node 3 to node 4 with capacity 19,\nan edge from node 3 to node 16 with capacity 9,\nan edge from node 4 to node 9 with capacity 1,\nan edge from node 4 to node 11 with capacity 18,\nan edge from node 4 to node 15 with capacity 7,\nan edge from node 4 to node 13 with capacity 12,\nan edge from node 4 to node 2 with capacity 6,\nan edge from node 5 to node 9 with capacity 10,\nan edge from node 5 to node 11 with capacity 4,\nan edge from node 5 to node 13 with capacity 16,\nan edge from node 5 to node 1 with capacity 12,\nan edge from node 5 to node 16 with capacity 14,\nan edge from node 6 to node 3 with capacity 1,\nan edge from node 6 to node 11 with capacity 13,\nan edge from node 6 to node 15 with capacity 8,\nan edge from node 6 to node 2 with capacity 9,\nan edge from node 6 to node 0 with capacity 20,\nan edge from node 7 to node 4 with capacity 9,\nan edge from node 7 to node 14 with capacity 6,\nan edge from node 7 to node 6 with capacity 18,\nan edge from node 7 to node 15 with capacity 12,\nan edge from node 7 to node 16 with capacity 19,\nan edge from node 8 to node 4 with capacity 2,\nan edge from node 8 to node 12 with capacity 20,\nan edge from node 8 to node 14 with capacity 4,\nan edge from node 8 to node 5 with capacity 11,\nan edge from node 8 to node 16 with capacity 20,\nan edge from node 8 to node 2 with capacity 10,\nan edge from node 9 to node 4 with capacity 2,\nan edge from node 9 to node 6 with capacity 20,\nan edge from node 9 to node 0 with capacity 14,\nan edge from node 10 to node 3 with capacity 16,\nan edge from node 10 to node 12 with capacity 11,\nan edge from node 10 to node 6 with capacity 15,\nan edge from node 10 to node 2 with capacity 7,\nan edge from node 11 to node 15 with capacity 9,\nan edge from node 11 to node 13 with capacity 5,\nan edge from node 11 to node 5 with capacity 2,\nan edge from node 11 to node 2 with capacity 19,\nan edge from node 12 to node 4 with capacity 10,\nan edge from node 12 to node 3 with capacity 5,\nan edge from node 12 to node 14 with capacity 7,\nan edge from node 12 to node 7 with capacity 13,\nan edge from node 12 to node 13 with capacity 16,\nan edge from node 12 to node 1 with capacity 18,\nan edge from node 12 to node 5 with capacity 20,\nan edge from node 12 to node 2 with capacity 15,\nan edge from node 13 to node 3 with capacity 12,\nan edge from node 13 to node 14 with capacity 19,\nan edge from node 13 to node 8 with capacity 12,\nan edge from node 13 to node 16 with capacity 20,\nan edge from node 13 to node 0 with capacity 4,\nan edge from node 14 to node 9 with capacity 19,\nan edge from node 14 to node 11 with capacity 5,\nan edge from node 14 to node 13 with capacity 5,\nan edge from node 14 to node 8 with capacity 15,\nan edge from node 14 to node 16 with capacity 17,\nan edge from node 15 to node 14 with capacity 15,\nan edge from node 15 to node 11 with capacity 14,\nan edge from node 15 to node 6 with capacity 5,\nan edge from node 15 to node 13 with capacity 18,\nan edge from node 15 to node 16 with capacity 4,\nan edge from node 16 to node 9 with capacity 20,\nan edge from node 16 to node 1 with capacity 12,\nan edge from node 16 to node 8 with capacity 3,\nWhat is the maximum flow from node 7 to node 13:"
            },
            {
                "from": "gpt",
                "value": "64."
            }
        ]
    },
    {
        "id": "flow-hard-graph622",
        "image": "data/flow/graph_visual/hard/graph622.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 2 with capacity 3,\nan edge from node 0 to node 14 with capacity 14,\nan edge from node 0 to node 12 with capacity 17,\nan edge from node 0 to node 11 with capacity 7,\nan edge from node 0 to node 8 with capacity 3,\nan edge from node 0 to node 9 with capacity 7,\nan edge from node 1 to node 6 with capacity 18,\nan edge from node 1 to node 7 with capacity 7,\nan edge from node 1 to node 0 with capacity 5,\nan edge from node 1 to node 10 with capacity 14,\nan edge from node 2 to node 11 with capacity 3,\nan edge from node 2 to node 15 with capacity 10,\nan edge from node 2 to node 4 with capacity 16,\nan edge from node 2 to node 8 with capacity 6,\nan edge from node 3 to node 7 with capacity 5,\nan edge from node 3 to node 12 with capacity 3,\nan edge from node 4 to node 0 with capacity 10,\nan edge from node 4 to node 10 with capacity 1,\nan edge from node 5 to node 8 with capacity 19,\nan edge from node 5 to node 10 with capacity 8,\nan edge from node 5 to node 9 with capacity 12,\nan edge from node 6 to node 5 with capacity 15,\nan edge from node 6 to node 7 with capacity 7,\nan edge from node 6 to node 1 with capacity 11,\nan edge from node 6 to node 3 with capacity 6,\nan edge from node 8 to node 1 with capacity 15,\nan edge from node 8 to node 3 with capacity 13,\nan edge from node 9 to node 6 with capacity 2,\nan edge from node 9 to node 7 with capacity 15,\nan edge from node 9 to node 12 with capacity 17,\nan edge from node 9 to node 15 with capacity 6,\nan edge from node 9 to node 4 with capacity 13,\nan edge from node 9 to node 1 with capacity 8,\nan edge from node 9 to node 10 with capacity 15,\nan edge from node 10 to node 2 with capacity 19,\nan edge from node 10 to node 14 with capacity 16,\nan edge from node 10 to node 12 with capacity 4,\nan edge from node 10 to node 0 with capacity 6,\nan edge from node 10 to node 9 with capacity 7,\nan edge from node 11 to node 13 with capacity 15,\nan edge from node 11 to node 7 with capacity 6,\nan edge from node 12 to node 5 with capacity 15,\nan edge from node 12 to node 1 with capacity 12,\nan edge from node 13 to node 5 with capacity 8,\nan edge from node 13 to node 15 with capacity 18,\nan edge from node 13 to node 0 with capacity 12,\nan edge from node 13 to node 1 with capacity 3,\nan edge from node 13 to node 10 with capacity 19,\nan edge from node 13 to node 9 with capacity 19,\nan edge from node 14 to node 2 with capacity 20,\nan edge from node 14 to node 5 with capacity 13,\nan edge from node 14 to node 15 with capacity 9,\nan edge from node 14 to node 4 with capacity 2,\nan edge from node 14 to node 8 with capacity 12,\nan edge from node 15 to node 2 with capacity 6,\nan edge from node 15 to node 5 with capacity 12,\nan edge from node 15 to node 12 with capacity 3,\nan edge from node 15 to node 9 with capacity 17,\nWhat is the maximum flow from node 0 to node 8:"
            },
            {
                "from": "gpt",
                "value": "40."
            }
        ]
    },
    {
        "id": "flow-hard-graph687",
        "image": "data/flow/graph_visual/hard/graph687.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 14 with capacity 12,\nan edge from node 0 to node 2 with capacity 3,\nan edge from node 0 to node 5 with capacity 20,\nan edge from node 0 to node 4 with capacity 13,\nan edge from node 0 to node 3 with capacity 20,\nan edge from node 0 to node 1 with capacity 1,\nan edge from node 1 to node 12 with capacity 15,\nan edge from node 1 to node 14 with capacity 19,\nan edge from node 1 to node 0 with capacity 17,\nan edge from node 1 to node 11 with capacity 1,\nan edge from node 1 to node 8 with capacity 6,\nan edge from node 1 to node 6 with capacity 5,\nan edge from node 1 to node 3 with capacity 17,\nan edge from node 1 to node 9 with capacity 18,\nan edge from node 2 to node 7 with capacity 13,\nan edge from node 3 to node 2 with capacity 6,\nan edge from node 3 to node 10 with capacity 9,\nan edge from node 3 to node 15 with capacity 17,\nan edge from node 4 to node 14 with capacity 16,\nan edge from node 4 to node 7 with capacity 8,\nan edge from node 4 to node 15 with capacity 2,\nan edge from node 5 to node 7 with capacity 12,\nan edge from node 5 to node 8 with capacity 9,\nan edge from node 5 to node 13 with capacity 4,\nan edge from node 5 to node 9 with capacity 12,\nan edge from node 5 to node 15 with capacity 15,\nan edge from node 6 to node 5 with capacity 1,\nan edge from node 6 to node 11 with capacity 1,\nan edge from node 6 to node 8 with capacity 4,\nan edge from node 6 to node 10 with capacity 18,\nan edge from node 6 to node 3 with capacity 16,\nan edge from node 6 to node 9 with capacity 12,\nan edge from node 6 to node 15 with capacity 2,\nan edge from node 7 to node 2 with capacity 13,\nan edge from node 7 to node 8 with capacity 19,\nan edge from node 7 to node 4 with capacity 14,\nan edge from node 8 to node 12 with capacity 14,\nan edge from node 8 to node 9 with capacity 1,\nan edge from node 9 to node 5 with capacity 17,\nan edge from node 9 to node 6 with capacity 9,\nan edge from node 10 to node 5 with capacity 15,\nan edge from node 10 to node 6 with capacity 1,\nan edge from node 10 to node 9 with capacity 16,\nan edge from node 11 to node 13 with capacity 14,\nan edge from node 12 to node 7 with capacity 3,\nan edge from node 12 to node 9 with capacity 18,\nan edge from node 12 to node 1 with capacity 18,\nan edge from node 13 to node 2 with capacity 16,\nan edge from node 13 to node 8 with capacity 5,\nan edge from node 14 to node 12 with capacity 12,\nan edge from node 14 to node 2 with capacity 8,\nan edge from node 14 to node 8 with capacity 11,\nan edge from node 14 to node 15 with capacity 8,\nan edge from node 14 to node 1 with capacity 3,\nan edge from node 15 to node 12 with capacity 15,\nan edge from node 15 to node 5 with capacity 18,\nan edge from node 15 to node 8 with capacity 13,\nan edge from node 15 to node 6 with capacity 13,\nan edge from node 15 to node 4 with capacity 16,\nan edge from node 15 to node 1 with capacity 18,\nWhat is the maximum flow from node 9 to node 2:"
            },
            {
                "from": "gpt",
                "value": "26."
            }
        ]
    },
    {
        "id": "flow-hard-graph52",
        "image": "data/flow/graph_visual/hard/graph52.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 4 with capacity 10,\nan edge from node 0 to node 1 with capacity 19,\nan edge from node 1 to node 3 with capacity 19,\nan edge from node 1 to node 9 with capacity 6,\nan edge from node 1 to node 4 with capacity 5,\nan edge from node 1 to node 2 with capacity 5,\nan edge from node 2 to node 0 with capacity 14,\nan edge from node 2 to node 4 with capacity 8,\nan edge from node 3 to node 10 with capacity 20,\nan edge from node 3 to node 4 with capacity 20,\nan edge from node 4 to node 3 with capacity 15,\nan edge from node 4 to node 9 with capacity 15,\nan edge from node 5 to node 3 with capacity 11,\nan edge from node 5 to node 7 with capacity 3,\nan edge from node 5 to node 2 with capacity 5,\nan edge from node 6 to node 10 with capacity 20,\nan edge from node 6 to node 4 with capacity 6,\nan edge from node 7 to node 5 with capacity 16,\nan edge from node 7 to node 1 with capacity 6,\nan edge from node 7 to node 6 with capacity 13,\nan edge from node 8 to node 3 with capacity 18,\nan edge from node 8 to node 0 with capacity 9,\nan edge from node 8 to node 7 with capacity 1,\nan edge from node 8 to node 1 with capacity 16,\nan edge from node 8 to node 2 with capacity 17,\nan edge from node 9 to node 6 with capacity 19,\nan edge from node 10 to node 9 with capacity 4,\nan edge from node 10 to node 1 with capacity 2,\nWhat is the maximum flow from node 6 to node 3:"
            },
            {
                "from": "gpt",
                "value": "8."
            }
        ]
    },
    {
        "id": "flow-hard-graph355",
        "image": "data/flow/graph_visual/hard/graph355.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 3 with capacity 7,\nan edge from node 0 to node 5 with capacity 18,\nan edge from node 0 to node 12 with capacity 11,\nan edge from node 1 to node 2 with capacity 17,\nan edge from node 1 to node 0 with capacity 18,\nan edge from node 2 to node 9 with capacity 15,\nan edge from node 2 to node 12 with capacity 19,\nan edge from node 2 to node 11 with capacity 3,\nan edge from node 4 to node 3 with capacity 2,\nan edge from node 4 to node 10 with capacity 6,\nan edge from node 4 to node 9 with capacity 18,\nan edge from node 4 to node 0 with capacity 4,\nan edge from node 5 to node 3 with capacity 2,\nan edge from node 5 to node 2 with capacity 6,\nan edge from node 5 to node 9 with capacity 20,\nan edge from node 5 to node 12 with capacity 5,\nan edge from node 6 to node 4 with capacity 6,\nan edge from node 6 to node 5 with capacity 12,\nan edge from node 6 to node 0 with capacity 6,\nan edge from node 6 to node 7 with capacity 13,\nan edge from node 7 to node 5 with capacity 1,\nan edge from node 7 to node 2 with capacity 17,\nan edge from node 7 to node 8 with capacity 15,\nan edge from node 8 to node 3 with capacity 12,\nan edge from node 8 to node 1 with capacity 11,\nan edge from node 8 to node 0 with capacity 19,\nan edge from node 9 to node 10 with capacity 10,\nan edge from node 10 to node 1 with capacity 18,\nan edge from node 10 to node 6 with capacity 10,\nan edge from node 10 to node 8 with capacity 17,\nan edge from node 11 to node 3 with capacity 7,\nan edge from node 11 to node 10 with capacity 8,\nan edge from node 11 to node 4 with capacity 2,\nan edge from node 12 to node 3 with capacity 10,\nan edge from node 12 to node 9 with capacity 6,\nWhat is the maximum flow from node 9 to node 5:"
            },
            {
                "from": "gpt",
                "value": "10."
            }
        ]
    },
    {
        "id": "flow-hard-graph1070",
        "image": "data/flow/graph_visual/hard/graph1070.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 11 with capacity 6,\nan edge from node 0 to node 8 with capacity 7,\nan edge from node 0 to node 15 with capacity 5,\nan edge from node 1 to node 0 with capacity 17,\nan edge from node 1 to node 5 with capacity 12,\nan edge from node 1 to node 16 with capacity 20,\nan edge from node 2 to node 10 with capacity 6,\nan edge from node 3 to node 10 with capacity 19,\nan edge from node 3 to node 8 with capacity 2,\nan edge from node 4 to node 6 with capacity 18,\nan edge from node 4 to node 0 with capacity 17,\nan edge from node 4 to node 17 with capacity 9,\nan edge from node 4 to node 18 with capacity 14,\nan edge from node 4 to node 8 with capacity 11,\nan edge from node 4 to node 7 with capacity 3,\nan edge from node 5 to node 6 with capacity 1,\nan edge from node 5 to node 11 with capacity 13,\nan edge from node 5 to node 18 with capacity 13,\nan edge from node 5 to node 10 with capacity 10,\nan edge from node 5 to node 13 with capacity 8,\nan edge from node 5 to node 7 with capacity 1,\nan edge from node 6 to node 2 with capacity 17,\nan edge from node 6 to node 5 with capacity 17,\nan edge from node 6 to node 8 with capacity 13,\nan edge from node 7 to node 4 with capacity 15,\nan edge from node 7 to node 3 with capacity 9,\nan edge from node 7 to node 1 with capacity 16,\nan edge from node 7 to node 2 with capacity 8,\nan edge from node 7 to node 18 with capacity 17,\nan edge from node 7 to node 15 with capacity 8,\nan edge from node 8 to node 3 with capacity 9,\nan edge from node 8 to node 2 with capacity 1,\nan edge from node 8 to node 9 with capacity 15,\nan edge from node 8 to node 14 with capacity 16,\nan edge from node 8 to node 18 with capacity 12,\nan edge from node 8 to node 13 with capacity 1,\nan edge from node 9 to node 1 with capacity 15,\nan edge from node 9 to node 5 with capacity 20,\nan edge from node 9 to node 10 with capacity 18,\nan edge from node 9 to node 13 with capacity 1,\nan edge from node 9 to node 7 with capacity 19,\nan edge from node 10 to node 2 with capacity 19,\nan edge from node 10 to node 16 with capacity 3,\nan edge from node 11 to node 6 with capacity 2,\nan edge from node 11 to node 2 with capacity 1,\nan edge from node 11 to node 9 with capacity 1,\nan edge from node 11 to node 5 with capacity 1,\nan edge from node 11 to node 14 with capacity 15,\nan edge from node 11 to node 13 with capacity 17,\nan edge from node 11 to node 16 with capacity 9,\nan edge from node 12 to node 6 with capacity 20,\nan edge from node 12 to node 17 with capacity 4,\nan edge from node 12 to node 11 with capacity 9,\nan edge from node 12 to node 10 with capacity 4,\nan edge from node 12 to node 7 with capacity 10,\nan edge from node 13 to node 2 with capacity 17,\nan edge from node 13 to node 15 with capacity 13,\nan edge from node 13 to node 7 with capacity 5,\nan edge from node 13 to node 16 with capacity 8,\nan edge from node 14 to node 6 with capacity 5,\nan edge from node 14 to node 0 with capacity 11,\nan edge from node 14 to node 5 with capacity 7,\nan edge from node 14 to node 17 with capacity 6,\nan edge from node 14 to node 11 with capacity 18,\nan edge from node 14 to node 18 with capacity 10,\nan edge from node 14 to node 13 with capacity 9,\nan edge from node 15 to node 12 with capacity 16,\nan edge from node 15 to node 6 with capacity 1,\nan edge from node 15 to node 9 with capacity 2,\nan edge from node 15 to node 11 with capacity 8,\nan edge from node 15 to node 18 with capacity 13,\nan edge from node 15 to node 13 with capacity 14,\nan edge from node 15 to node 7 with capacity 11,\nan edge from node 15 to node 16 with capacity 12,\nan edge from node 16 to node 17 with capacity 11,\nan edge from node 16 to node 14 with capacity 11,\nan edge from node 17 to node 6 with capacity 17,\nan edge from node 17 to node 14 with capacity 1,\nan edge from node 17 to node 15 with capacity 11,\nan edge from node 18 to node 3 with capacity 11,\nan edge from node 18 to node 17 with capacity 9,\nan edge from node 18 to node 15 with capacity 13,\nWhat is the maximum flow from node 13 to node 4:"
            },
            {
                "from": "gpt",
                "value": "15."
            }
        ]
    },
    {
        "id": "flow-hard-graph556",
        "image": "data/flow/graph_visual/hard/graph556.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 6 with capacity 19,\nan edge from node 0 to node 7 with capacity 8,\nan edge from node 0 to node 10 with capacity 5,\nan edge from node 1 to node 6 with capacity 7,\nan edge from node 1 to node 7 with capacity 5,\nan edge from node 1 to node 10 with capacity 19,\nan edge from node 1 to node 2 with capacity 6,\nan edge from node 2 to node 12 with capacity 8,\nan edge from node 2 to node 13 with capacity 5,\nan edge from node 3 to node 0 with capacity 2,\nan edge from node 3 to node 1 with capacity 5,\nan edge from node 3 to node 8 with capacity 15,\nan edge from node 3 to node 2 with capacity 16,\nan edge from node 3 to node 5 with capacity 7,\nan edge from node 4 to node 0 with capacity 17,\nan edge from node 4 to node 6 with capacity 9,\nan edge from node 4 to node 9 with capacity 7,\nan edge from node 4 to node 8 with capacity 18,\nan edge from node 4 to node 2 with capacity 10,\nan edge from node 5 to node 6 with capacity 18,\nan edge from node 6 to node 1 with capacity 3,\nan edge from node 6 to node 8 with capacity 15,\nan edge from node 6 to node 10 with capacity 13,\nan edge from node 6 to node 2 with capacity 8,\nan edge from node 6 to node 5 with capacity 7,\nan edge from node 7 to node 0 with capacity 10,\nan edge from node 8 to node 0 with capacity 16,\nan edge from node 8 to node 1 with capacity 12,\nan edge from node 9 to node 0 with capacity 9,\nan edge from node 9 to node 3 with capacity 12,\nan edge from node 10 to node 6 with capacity 1,\nan edge from node 10 to node 11 with capacity 3,\nan edge from node 11 to node 9 with capacity 8,\nan edge from node 11 to node 14 with capacity 9,\nan edge from node 12 to node 13 with capacity 10,\nan edge from node 12 to node 4 with capacity 1,\nan edge from node 12 to node 10 with capacity 8,\nan edge from node 12 to node 14 with capacity 4,\nan edge from node 12 to node 5 with capacity 13,\nan edge from node 13 to node 11 with capacity 15,\nan edge from node 13 to node 10 with capacity 10,\nan edge from node 13 to node 14 with capacity 17,\nan edge from node 13 to node 2 with capacity 13,\nan edge from node 13 to node 5 with capacity 14,\nan edge from node 14 to node 6 with capacity 12,\nan edge from node 14 to node 7 with capacity 16,\nan edge from node 14 to node 1 with capacity 3,\nWhat is the maximum flow from node 7 to node 5:"
            },
            {
                "from": "gpt",
                "value": "10."
            }
        ]
    },
    {
        "id": "flow-hard-graph83",
        "image": "data/flow/graph_visual/hard/graph83.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 2 with capacity 16,\nan edge from node 0 to node 10 with capacity 18,\nan edge from node 0 to node 5 with capacity 20,\nan edge from node 1 to node 10 with capacity 2,\nan edge from node 1 to node 9 with capacity 2,\nan edge from node 1 to node 7 with capacity 2,\nan edge from node 2 to node 3 with capacity 2,\nan edge from node 2 to node 10 with capacity 2,\nan edge from node 2 to node 1 with capacity 2,\nan edge from node 3 to node 2 with capacity 12,\nan edge from node 3 to node 9 with capacity 4,\nan edge from node 3 to node 1 with capacity 4,\nan edge from node 3 to node 0 with capacity 18,\nan edge from node 4 to node 0 with capacity 10,\nan edge from node 4 to node 6 with capacity 19,\nan edge from node 5 to node 4 with capacity 17,\nan edge from node 6 to node 5 with capacity 13,\nan edge from node 7 to node 3 with capacity 6,\nan edge from node 8 to node 9 with capacity 3,\nan edge from node 8 to node 7 with capacity 6,\nan edge from node 9 to node 2 with capacity 10,\nan edge from node 9 to node 10 with capacity 16,\nan edge from node 10 to node 4 with capacity 12,\nWhat is the maximum flow from node 2 to node 6:"
            },
            {
                "from": "gpt",
                "value": "6."
            }
        ]
    },
    {
        "id": "flow-hard-graph823",
        "image": "data/flow/graph_visual/hard/graph823.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 5 with capacity 12,\nan edge from node 0 to node 6 with capacity 4,\nan edge from node 1 to node 13 with capacity 1,\nan edge from node 1 to node 14 with capacity 9,\nan edge from node 1 to node 0 with capacity 11,\nan edge from node 2 to node 12 with capacity 5,\nan edge from node 2 to node 6 with capacity 14,\nan edge from node 2 to node 10 with capacity 1,\nan edge from node 2 to node 16 with capacity 9,\nan edge from node 2 to node 0 with capacity 12,\nan edge from node 2 to node 1 with capacity 2,\nan edge from node 3 to node 13 with capacity 5,\nan edge from node 3 to node 5 with capacity 13,\nan edge from node 3 to node 6 with capacity 12,\nan edge from node 3 to node 10 with capacity 12,\nan edge from node 3 to node 14 with capacity 3,\nan edge from node 3 to node 4 with capacity 7,\nan edge from node 3 to node 11 with capacity 17,\nan edge from node 4 to node 3 with capacity 17,\nan edge from node 4 to node 0 with capacity 11,\nan edge from node 4 to node 11 with capacity 18,\nan edge from node 5 to node 0 with capacity 14,\nan edge from node 5 to node 7 with capacity 4,\nan edge from node 6 to node 3 with capacity 14,\nan edge from node 6 to node 10 with capacity 13,\nan edge from node 6 to node 16 with capacity 11,\nan edge from node 6 to node 2 with capacity 17,\nan edge from node 6 to node 11 with capacity 14,\nan edge from node 7 to node 3 with capacity 7,\nan edge from node 7 to node 8 with capacity 19,\nan edge from node 7 to node 4 with capacity 10,\nan edge from node 8 to node 12 with capacity 12,\nan edge from node 8 to node 10 with capacity 20,\nan edge from node 8 to node 16 with capacity 11,\nan edge from node 8 to node 9 with capacity 15,\nan edge from node 8 to node 0 with capacity 15,\nan edge from node 8 to node 7 with capacity 18,\nan edge from node 9 to node 13 with capacity 17,\nan edge from node 9 to node 5 with capacity 7,\nan edge from node 9 to node 10 with capacity 7,\nan edge from node 10 to node 5 with capacity 5,\nan edge from node 10 to node 6 with capacity 1,\nan edge from node 10 to node 9 with capacity 7,\nan edge from node 11 to node 5 with capacity 20,\nan edge from node 11 to node 6 with capacity 16,\nan edge from node 11 to node 16 with capacity 19,\nan edge from node 11 to node 15 with capacity 17,\nan edge from node 11 to node 8 with capacity 8,\nan edge from node 11 to node 0 with capacity 3,\nan edge from node 11 to node 4 with capacity 12,\nan edge from node 12 to node 13 with capacity 17,\nan edge from node 12 to node 5 with capacity 11,\nan edge from node 12 to node 6 with capacity 19,\nan edge from node 12 to node 16 with capacity 18,\nan edge from node 12 to node 9 with capacity 14,\nan edge from node 12 to node 11 with capacity 10,\nan edge from node 13 to node 5 with capacity 10,\nan edge from node 13 to node 1 with capacity 11,\nan edge from node 14 to node 13 with capacity 11,\nan edge from node 14 to node 9 with capacity 4,\nan edge from node 15 to node 13 with capacity 16,\nan edge from node 15 to node 6 with capacity 7,\nan edge from node 15 to node 14 with capacity 14,\nan edge from node 15 to node 9 with capacity 18,\nan edge from node 15 to node 4 with capacity 8,\nan edge from node 16 to node 13 with capacity 13,\nan edge from node 16 to node 12 with capacity 19,\nan edge from node 16 to node 5 with capacity 19,\nan edge from node 16 to node 15 with capacity 13,\nan edge from node 16 to node 9 with capacity 3,\nWhat is the maximum flow from node 8 to node 2:"
            },
            {
                "from": "gpt",
                "value": "17."
            }
        ]
    },
    {
        "id": "flow-hard-graph1144",
        "image": "data/flow/graph_visual/hard/graph1144.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 6 with capacity 3,\nan edge from node 0 to node 19 with capacity 16,\nan edge from node 0 to node 12 with capacity 17,\nan edge from node 0 to node 3 with capacity 3,\nan edge from node 0 to node 17 with capacity 7,\nan edge from node 1 to node 6 with capacity 5,\nan edge from node 1 to node 3 with capacity 7,\nan edge from node 1 to node 13 with capacity 13,\nan edge from node 1 to node 11 with capacity 11,\nan edge from node 2 to node 19 with capacity 12,\nan edge from node 2 to node 16 with capacity 6,\nan edge from node 2 to node 3 with capacity 17,\nan edge from node 3 to node 9 with capacity 20,\nan edge from node 3 to node 12 with capacity 2,\nan edge from node 3 to node 14 with capacity 20,\nan edge from node 4 to node 5 with capacity 11,\nan edge from node 4 to node 6 with capacity 15,\nan edge from node 4 to node 7 with capacity 20,\nan edge from node 4 to node 12 with capacity 1,\nan edge from node 4 to node 16 with capacity 8,\nan edge from node 4 to node 18 with capacity 10,\nan edge from node 4 to node 17 with capacity 20,\nan edge from node 5 to node 16 with capacity 7,\nan edge from node 6 to node 10 with capacity 3,\nan edge from node 6 to node 7 with capacity 12,\nan edge from node 6 to node 19 with capacity 14,\nan edge from node 6 to node 3 with capacity 8,\nan edge from node 6 to node 13 with capacity 2,\nan edge from node 6 to node 17 with capacity 13,\nan edge from node 7 to node 10 with capacity 6,\nan edge from node 7 to node 4 with capacity 7,\nan edge from node 7 to node 9 with capacity 19,\nan edge from node 7 to node 16 with capacity 6,\nan edge from node 7 to node 18 with capacity 2,\nan edge from node 7 to node 11 with capacity 4,\nan edge from node 8 to node 1 with capacity 18,\nan edge from node 8 to node 4 with capacity 3,\nan edge from node 8 to node 16 with capacity 3,\nan edge from node 8 to node 15 with capacity 8,\nan edge from node 8 to node 13 with capacity 14,\nan edge from node 8 to node 2 with capacity 1,\nan edge from node 9 to node 19 with capacity 9,\nan edge from node 9 to node 13 with capacity 10,\nan edge from node 9 to node 8 with capacity 13,\nan edge from node 10 to node 5 with capacity 7,\nan edge from node 10 to node 19 with capacity 4,\nan edge from node 10 to node 12 with capacity 11,\nan edge from node 10 to node 16 with capacity 6,\nan edge from node 10 to node 3 with capacity 11,\nan edge from node 10 to node 13 with capacity 17,\nan edge from node 11 to node 19 with capacity 18,\nan edge from node 11 to node 16 with capacity 3,\nan edge from node 11 to node 3 with capacity 5,\nan edge from node 11 to node 15 with capacity 11,\nan edge from node 11 to node 14 with capacity 15,\nan edge from node 12 to node 9 with capacity 19,\nan edge from node 12 to node 6 with capacity 16,\nan edge from node 12 to node 2 with capacity 15,\nan edge from node 12 to node 17 with capacity 20,\nan edge from node 13 to node 1 with capacity 14,\nan edge from node 13 to node 7 with capacity 8,\nan edge from node 13 to node 12 with capacity 5,\nan edge from node 13 to node 15 with capacity 10,\nan edge from node 13 to node 0 with capacity 12,\nan edge from node 13 to node 2 with capacity 9,\nan edge from node 13 to node 8 with capacity 7,\nan edge from node 14 to node 12 with capacity 8,\nan edge from node 14 to node 15 with capacity 19,\nan edge from node 14 to node 0 with capacity 10,\nan edge from node 14 to node 2 with capacity 2,\nan edge from node 15 to node 5 with capacity 17,\nan edge from node 15 to node 7 with capacity 2,\nan edge from node 16 to node 10 with capacity 1,\nan edge from node 16 to node 1 with capacity 12,\nan edge from node 16 to node 15 with capacity 11,\nan edge from node 16 to node 18 with capacity 16,\nan edge from node 16 to node 17 with capacity 9,\nan edge from node 17 to node 4 with capacity 2,\nan edge from node 17 to node 5 with capacity 9,\nan edge from node 17 to node 6 with capacity 10,\nan edge from node 17 to node 16 with capacity 5,\nan edge from node 17 to node 13 with capacity 10,\nan edge from node 18 to node 1 with capacity 8,\nan edge from node 18 to node 4 with capacity 15,\nan edge from node 18 to node 3 with capacity 12,\nan edge from node 19 to node 5 with capacity 1,\nan edge from node 19 to node 7 with capacity 3,\nWhat is the maximum flow from node 4 to node 10:"
            },
            {
                "from": "gpt",
                "value": "10."
            }
        ]
    },
    {
        "id": "flow-hard-graph252",
        "image": "data/flow/graph_visual/hard/graph252.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 1 to node 0 with capacity 2,\nan edge from node 1 to node 12 with capacity 17,\nan edge from node 1 to node 7 with capacity 11,\nan edge from node 2 to node 3 with capacity 9,\nan edge from node 2 to node 9 with capacity 18,\nan edge from node 2 to node 4 with capacity 7,\nan edge from node 2 to node 7 with capacity 6,\nan edge from node 2 to node 5 with capacity 15,\nan edge from node 3 to node 8 with capacity 2,\nan edge from node 5 to node 8 with capacity 5,\nan edge from node 5 to node 1 with capacity 18,\nan edge from node 5 to node 2 with capacity 3,\nan edge from node 6 to node 3 with capacity 5,\nan edge from node 6 to node 1 with capacity 11,\nan edge from node 6 to node 9 with capacity 17,\nan edge from node 7 to node 0 with capacity 7,\nan edge from node 7 to node 10 with capacity 6,\nan edge from node 7 to node 11 with capacity 3,\nan edge from node 7 to node 6 with capacity 20,\nan edge from node 8 to node 1 with capacity 15,\nan edge from node 8 to node 12 with capacity 8,\nan edge from node 8 to node 4 with capacity 20,\nan edge from node 8 to node 11 with capacity 1,\nan edge from node 9 to node 12 with capacity 19,\nan edge from node 9 to node 10 with capacity 13,\nan edge from node 9 to node 5 with capacity 20,\nan edge from node 10 to node 8 with capacity 10,\nan edge from node 10 to node 12 with capacity 12,\nan edge from node 10 to node 2 with capacity 19,\nan edge from node 10 to node 11 with capacity 17,\nan edge from node 11 to node 0 with capacity 5,\nan edge from node 11 to node 9 with capacity 12,\nan edge from node 11 to node 12 with capacity 11,\nan edge from node 11 to node 2 with capacity 9,\nan edge from node 12 to node 1 with capacity 12,\nan edge from node 12 to node 4 with capacity 10,\nWhat is the maximum flow from node 9 to node 4:"
            },
            {
                "from": "gpt",
                "value": "34."
            }
        ]
    },
    {
        "id": "flow-hard-graph154",
        "image": "data/flow/graph_visual/hard/graph154.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 10 with capacity 10,\nan edge from node 0 to node 8 with capacity 10,\nan edge from node 0 to node 11 with capacity 19,\nan edge from node 1 to node 6 with capacity 3,\nan edge from node 1 to node 0 with capacity 4,\nan edge from node 1 to node 5 with capacity 10,\nan edge from node 2 to node 11 with capacity 3,\nan edge from node 2 to node 7 with capacity 14,\nan edge from node 3 to node 9 with capacity 19,\nan edge from node 3 to node 11 with capacity 12,\nan edge from node 3 to node 5 with capacity 13,\nan edge from node 4 to node 6 with capacity 8,\nan edge from node 4 to node 2 with capacity 15,\nan edge from node 4 to node 9 with capacity 3,\nan edge from node 4 to node 8 with capacity 15,\nan edge from node 5 to node 4 with capacity 1,\nan edge from node 6 to node 10 with capacity 6,\nan edge from node 6 to node 0 with capacity 17,\nan edge from node 8 to node 2 with capacity 20,\nan edge from node 8 to node 1 with capacity 17,\nan edge from node 8 to node 7 with capacity 6,\nan edge from node 9 to node 8 with capacity 20,\nan edge from node 9 to node 11 with capacity 20,\nan edge from node 9 to node 0 with capacity 5,\nan edge from node 9 to node 5 with capacity 4,\nan edge from node 9 to node 3 with capacity 18,\nan edge from node 10 to node 9 with capacity 2,\nan edge from node 10 to node 11 with capacity 20,\nan edge from node 10 to node 5 with capacity 14,\nan edge from node 10 to node 4 with capacity 12,\nWhat is the maximum flow from node 5 to node 10:"
            },
            {
                "from": "gpt",
                "value": "1."
            }
        ]
    },
    {
        "id": "flow-hard-graph69",
        "image": "data/flow/graph_visual/hard/graph69.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 10 with capacity 16,\nan edge from node 0 to node 5 with capacity 14,\nan edge from node 0 to node 4 with capacity 5,\nan edge from node 0 to node 3 with capacity 6,\nan edge from node 1 to node 8 with capacity 14,\nan edge from node 1 to node 4 with capacity 11,\nan edge from node 2 to node 6 with capacity 4,\nan edge from node 2 to node 0 with capacity 17,\nan edge from node 2 to node 9 with capacity 5,\nan edge from node 3 to node 6 with capacity 16,\nan edge from node 4 to node 1 with capacity 13,\nan edge from node 4 to node 7 with capacity 2,\nan edge from node 5 to node 1 with capacity 2,\nan edge from node 5 to node 6 with capacity 16,\nan edge from node 5 to node 10 with capacity 11,\nan edge from node 5 to node 3 with capacity 1,\nan edge from node 6 to node 1 with capacity 14,\nan edge from node 6 to node 7 with capacity 10,\nan edge from node 6 to node 5 with capacity 20,\nan edge from node 6 to node 4 with capacity 5,\nan edge from node 6 to node 0 with capacity 1,\nan edge from node 7 to node 2 with capacity 8,\nan edge from node 7 to node 5 with capacity 16,\nan edge from node 7 to node 4 with capacity 13,\nan edge from node 8 to node 1 with capacity 15,\nan edge from node 8 to node 6 with capacity 18,\nan edge from node 9 to node 7 with capacity 4,\nan edge from node 9 to node 4 with capacity 10,\nan edge from node 10 to node 2 with capacity 18,\nan edge from node 10 to node 8 with capacity 2,\nan edge from node 10 to node 5 with capacity 4,\nWhat is the maximum flow from node 7 to node 6:"
            },
            {
                "from": "gpt",
                "value": "37."
            }
        ]
    },
    {
        "id": "flow-hard-graph294",
        "image": "data/flow/graph_visual/hard/graph294.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 6 with capacity 8,\nan edge from node 0 to node 5 with capacity 15,\nan edge from node 0 to node 7 with capacity 20,\nan edge from node 1 to node 3 with capacity 3,\nan edge from node 3 to node 6 with capacity 4,\nan edge from node 3 to node 5 with capacity 20,\nan edge from node 3 to node 11 with capacity 20,\nan edge from node 4 to node 6 with capacity 9,\nan edge from node 4 to node 10 with capacity 5,\nan edge from node 4 to node 12 with capacity 9,\nan edge from node 4 to node 9 with capacity 9,\nan edge from node 5 to node 8 with capacity 8,\nan edge from node 5 to node 11 with capacity 11,\nan edge from node 6 to node 12 with capacity 7,\nan edge from node 6 to node 4 with capacity 3,\nan edge from node 6 to node 3 with capacity 15,\nan edge from node 7 to node 9 with capacity 20,\nan edge from node 8 to node 6 with capacity 10,\nan edge from node 8 to node 10 with capacity 19,\nan edge from node 8 to node 4 with capacity 19,\nan edge from node 8 to node 0 with capacity 6,\nan edge from node 9 to node 1 with capacity 1,\nan edge from node 9 to node 10 with capacity 20,\nan edge from node 9 to node 12 with capacity 14,\nan edge from node 9 to node 7 with capacity 8,\nan edge from node 10 to node 6 with capacity 14,\nan edge from node 10 to node 9 with capacity 14,\nan edge from node 10 to node 4 with capacity 5,\nan edge from node 10 to node 3 with capacity 2,\nan edge from node 12 to node 6 with capacity 2,\nan edge from node 12 to node 10 with capacity 4,\nan edge from node 12 to node 4 with capacity 16,\nan edge from node 12 to node 11 with capacity 6,\nWhat is the maximum flow from node 7 to node 11:"
            },
            {
                "from": "gpt",
                "value": "20."
            }
        ]
    },
    {
        "id": "flow-hard-graph300",
        "image": "data/flow/graph_visual/hard/graph300.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 2 with capacity 10,\nan edge from node 0 to node 6 with capacity 13,\nan edge from node 0 to node 9 with capacity 19,\nan edge from node 0 to node 7 with capacity 10,\nan edge from node 0 to node 11 with capacity 2,\nan edge from node 0 to node 4 with capacity 12,\nan edge from node 1 to node 10 with capacity 5,\nan edge from node 1 to node 11 with capacity 11,\nan edge from node 2 to node 0 with capacity 2,\nan edge from node 2 to node 11 with capacity 14,\nan edge from node 3 to node 1 with capacity 4,\nan edge from node 3 to node 9 with capacity 4,\nan edge from node 3 to node 0 with capacity 12,\nan edge from node 4 to node 1 with capacity 19,\nan edge from node 5 to node 6 with capacity 7,\nan edge from node 5 to node 9 with capacity 2,\nan edge from node 5 to node 7 with capacity 18,\nan edge from node 5 to node 3 with capacity 11,\nan edge from node 6 to node 9 with capacity 18,\nan edge from node 6 to node 12 with capacity 15,\nan edge from node 6 to node 4 with capacity 8,\nan edge from node 7 to node 6 with capacity 16,\nan edge from node 7 to node 9 with capacity 16,\nan edge from node 7 to node 12 with capacity 16,\nan edge from node 7 to node 11 with capacity 7,\nan edge from node 7 to node 4 with capacity 3,\nan edge from node 8 to node 2 with capacity 6,\nan edge from node 8 to node 9 with capacity 16,\nan edge from node 8 to node 0 with capacity 19,\nan edge from node 8 to node 11 with capacity 14,\nan edge from node 9 to node 2 with capacity 5,\nan edge from node 9 to node 10 with capacity 16,\nan edge from node 9 to node 6 with capacity 1,\nan edge from node 9 to node 8 with capacity 2,\nan edge from node 9 to node 12 with capacity 12,\nan edge from node 9 to node 11 with capacity 19,\nan edge from node 9 to node 3 with capacity 14,\nan edge from node 10 to node 4 with capacity 20,\nan edge from node 10 to node 5 with capacity 15,\nan edge from node 11 to node 2 with capacity 20,\nan edge from node 11 to node 8 with capacity 18,\nan edge from node 11 to node 4 with capacity 12,\nan edge from node 11 to node 3 with capacity 11,\nan edge from node 12 to node 2 with capacity 17,\nan edge from node 12 to node 7 with capacity 3,\nan edge from node 12 to node 11 with capacity 12,\nWhat is the maximum flow from node 9 to node 12:"
            },
            {
                "from": "gpt",
                "value": "43."
            }
        ]
    },
    {
        "id": "flow-hard-graph828",
        "image": "data/flow/graph_visual/hard/graph828.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 9 with capacity 4,\nan edge from node 0 to node 14 with capacity 11,\nan edge from node 0 to node 7 with capacity 18,\nan edge from node 1 to node 2 with capacity 4,\nan edge from node 1 to node 9 with capacity 8,\nan edge from node 1 to node 6 with capacity 18,\nan edge from node 2 to node 9 with capacity 19,\nan edge from node 2 to node 10 with capacity 9,\nan edge from node 2 to node 12 with capacity 6,\nan edge from node 2 to node 4 with capacity 9,\nan edge from node 2 to node 6 with capacity 10,\nan edge from node 3 to node 10 with capacity 5,\nan edge from node 3 to node 14 with capacity 10,\nan edge from node 3 to node 11 with capacity 14,\nan edge from node 4 to node 15 with capacity 13,\nan edge from node 4 to node 11 with capacity 15,\nan edge from node 4 to node 6 with capacity 15,\nan edge from node 5 to node 13 with capacity 8,\nan edge from node 5 to node 9 with capacity 8,\nan edge from node 5 to node 10 with capacity 9,\nan edge from node 5 to node 0 with capacity 16,\nan edge from node 5 to node 8 with capacity 1,\nan edge from node 5 to node 14 with capacity 19,\nan edge from node 5 to node 3 with capacity 2,\nan edge from node 5 to node 11 with capacity 18,\nan edge from node 5 to node 4 with capacity 18,\nan edge from node 6 to node 16 with capacity 18,\nan edge from node 6 to node 15 with capacity 11,\nan edge from node 6 to node 8 with capacity 9,\nan edge from node 6 to node 14 with capacity 15,\nan edge from node 7 to node 13 with capacity 18,\nan edge from node 7 to node 9 with capacity 9,\nan edge from node 7 to node 10 with capacity 4,\nan edge from node 7 to node 12 with capacity 7,\nan edge from node 8 to node 12 with capacity 3,\nan edge from node 8 to node 1 with capacity 15,\nan edge from node 8 to node 3 with capacity 8,\nan edge from node 8 to node 7 with capacity 4,\nan edge from node 9 to node 13 with capacity 3,\nan edge from node 9 to node 12 with capacity 10,\nan edge from node 9 to node 3 with capacity 14,\nan edge from node 10 to node 2 with capacity 12,\nan edge from node 10 to node 9 with capacity 15,\nan edge from node 10 to node 1 with capacity 2,\nan edge from node 10 to node 14 with capacity 10,\nan edge from node 10 to node 7 with capacity 18,\nan edge from node 11 to node 2 with capacity 15,\nan edge from node 11 to node 12 with capacity 20,\nan edge from node 11 to node 7 with capacity 20,\nan edge from node 12 to node 1 with capacity 5,\nan edge from node 12 to node 6 with capacity 5,\nan edge from node 13 to node 16 with capacity 19,\nan edge from node 14 to node 9 with capacity 5,\nan edge from node 15 to node 2 with capacity 7,\nan edge from node 15 to node 16 with capacity 11,\nan edge from node 16 to node 5 with capacity 3,\nan edge from node 16 to node 10 with capacity 13,\nan edge from node 16 to node 12 with capacity 11,\nan edge from node 16 to node 1 with capacity 1,\nan edge from node 16 to node 8 with capacity 16,\nWhat is the maximum flow from node 7 to node 0:"
            },
            {
                "from": "gpt",
                "value": "3."
            }
        ]
    },
    {
        "id": "flow-hard-graph354",
        "image": "data/flow/graph_visual/hard/graph354.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 1 with capacity 17,\nan edge from node 1 to node 6 with capacity 19,\nan edge from node 1 to node 7 with capacity 19,\nan edge from node 2 to node 4 with capacity 10,\nan edge from node 3 to node 10 with capacity 17,\nan edge from node 3 to node 9 with capacity 16,\nan edge from node 3 to node 8 with capacity 7,\nan edge from node 3 to node 4 with capacity 11,\nan edge from node 3 to node 5 with capacity 19,\nan edge from node 3 to node 11 with capacity 10,\nan edge from node 4 to node 9 with capacity 18,\nan edge from node 4 to node 7 with capacity 20,\nan edge from node 4 to node 5 with capacity 7,\nan edge from node 5 to node 12 with capacity 3,\nan edge from node 5 to node 10 with capacity 10,\nan edge from node 5 to node 6 with capacity 13,\nan edge from node 5 to node 3 with capacity 1,\nan edge from node 6 to node 1 with capacity 2,\nan edge from node 7 to node 12 with capacity 13,\nan edge from node 7 to node 10 with capacity 1,\nan edge from node 7 to node 6 with capacity 9,\nan edge from node 7 to node 3 with capacity 11,\nan edge from node 7 to node 8 with capacity 11,\nan edge from node 7 to node 4 with capacity 18,\nan edge from node 8 to node 7 with capacity 4,\nan edge from node 8 to node 3 with capacity 9,\nan edge from node 9 to node 6 with capacity 5,\nan edge from node 9 to node 11 with capacity 5,\nan edge from node 9 to node 0 with capacity 10,\nan edge from node 10 to node 9 with capacity 10,\nan edge from node 10 to node 3 with capacity 2,\nan edge from node 11 to node 12 with capacity 10,\nan edge from node 11 to node 10 with capacity 3,\nan edge from node 11 to node 9 with capacity 5,\nan edge from node 11 to node 7 with capacity 12,\nan edge from node 11 to node 3 with capacity 19,\nan edge from node 11 to node 5 with capacity 20,\nan edge from node 11 to node 0 with capacity 19,\nan edge from node 12 to node 9 with capacity 19,\nan edge from node 12 to node 3 with capacity 1,\nan edge from node 12 to node 5 with capacity 13,\nan edge from node 12 to node 11 with capacity 8,\nWhat is the maximum flow from node 10 to node 8:"
            },
            {
                "from": "gpt",
                "value": "12."
            }
        ]
    },
    {
        "id": "flow-hard-graph920",
        "image": "data/flow/graph_visual/hard/graph920.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 4 with capacity 6,\nan edge from node 0 to node 3 with capacity 17,\nan edge from node 1 to node 15 with capacity 20,\nan edge from node 1 to node 12 with capacity 3,\nan edge from node 1 to node 11 with capacity 2,\nan edge from node 1 to node 17 with capacity 8,\nan edge from node 2 to node 16 with capacity 9,\nan edge from node 2 to node 5 with capacity 6,\nan edge from node 2 to node 7 with capacity 6,\nan edge from node 3 to node 6 with capacity 14,\nan edge from node 3 to node 13 with capacity 6,\nan edge from node 3 to node 11 with capacity 1,\nan edge from node 3 to node 2 with capacity 3,\nan edge from node 4 to node 0 with capacity 2,\nan edge from node 4 to node 9 with capacity 13,\nan edge from node 4 to node 17 with capacity 3,\nan edge from node 5 to node 4 with capacity 9,\nan edge from node 5 to node 12 with capacity 11,\nan edge from node 5 to node 14 with capacity 11,\nan edge from node 5 to node 13 with capacity 1,\nan edge from node 5 to node 9 with capacity 14,\nan edge from node 5 to node 11 with capacity 7,\nan edge from node 5 to node 3 with capacity 18,\nan edge from node 6 to node 8 with capacity 19,\nan edge from node 6 to node 14 with capacity 4,\nan edge from node 6 to node 11 with capacity 12,\nan edge from node 6 to node 1 with capacity 18,\nan edge from node 6 to node 7 with capacity 14,\nan edge from node 6 to node 2 with capacity 11,\nan edge from node 7 to node 9 with capacity 16,\nan edge from node 7 to node 1 with capacity 19,\nan edge from node 7 to node 3 with capacity 14,\nan edge from node 7 to node 2 with capacity 18,\nan edge from node 8 to node 10 with capacity 13,\nan edge from node 9 to node 6 with capacity 14,\nan edge from node 9 to node 16 with capacity 4,\nan edge from node 9 to node 0 with capacity 11,\nan edge from node 9 to node 10 with capacity 11,\nan edge from node 9 to node 4 with capacity 15,\nan edge from node 9 to node 12 with capacity 15,\nan edge from node 9 to node 11 with capacity 1,\nan edge from node 10 to node 0 with capacity 10,\nan edge from node 10 to node 5 with capacity 13,\nan edge from node 10 to node 15 with capacity 20,\nan edge from node 10 to node 4 with capacity 6,\nan edge from node 10 to node 1 with capacity 10,\nan edge from node 10 to node 7 with capacity 9,\nan edge from node 10 to node 2 with capacity 19,\nan edge from node 11 to node 5 with capacity 3,\nan edge from node 11 to node 4 with capacity 17,\nan edge from node 11 to node 12 with capacity 20,\nan edge from node 11 to node 9 with capacity 13,\nan edge from node 11 to node 7 with capacity 13,\nan edge from node 12 to node 6 with capacity 5,\nan edge from node 12 to node 16 with capacity 5,\nan edge from node 12 to node 15 with capacity 20,\nan edge from node 12 to node 9 with capacity 6,\nan edge from node 12 to node 1 with capacity 1,\nan edge from node 13 to node 2 with capacity 12,\nan edge from node 14 to node 5 with capacity 12,\nan edge from node 14 to node 4 with capacity 4,\nan edge from node 14 to node 13 with capacity 11,\nan edge from node 15 to node 6 with capacity 14,\nan edge from node 15 to node 8 with capacity 12,\nan edge from node 15 to node 5 with capacity 6,\nan edge from node 15 to node 10 with capacity 12,\nan edge from node 15 to node 4 with capacity 1,\nan edge from node 15 to node 12 with capacity 5,\nan edge from node 15 to node 13 with capacity 10,\nan edge from node 15 to node 11 with capacity 14,\nan edge from node 15 to node 17 with capacity 2,\nan edge from node 15 to node 2 with capacity 6,\nan edge from node 16 to node 0 with capacity 7,\nan edge from node 16 to node 10 with capacity 8,\nan edge from node 16 to node 15 with capacity 12,\nan edge from node 16 to node 11 with capacity 15,\nan edge from node 16 to node 3 with capacity 3,\nan edge from node 17 to node 10 with capacity 5,\nan edge from node 17 to node 15 with capacity 17,\nan edge from node 17 to node 4 with capacity 2,\nan edge from node 17 to node 12 with capacity 2,\nan edge from node 17 to node 13 with capacity 17,\nan edge from node 17 to node 11 with capacity 12,\nan edge from node 17 to node 2 with capacity 16,\nWhat is the maximum flow from node 2 to node 6:"
            },
            {
                "from": "gpt",
                "value": "21."
            }
        ]
    },
    {
        "id": "flow-hard-graph773",
        "image": "data/flow/graph_visual/hard/graph773.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 7 with capacity 5,\nan edge from node 0 to node 4 with capacity 19,\nan edge from node 1 to node 16 with capacity 7,\nan edge from node 1 to node 13 with capacity 14,\nan edge from node 1 to node 2 with capacity 13,\nan edge from node 1 to node 4 with capacity 12,\nan edge from node 2 to node 5 with capacity 2,\nan edge from node 2 to node 8 with capacity 16,\nan edge from node 2 to node 15 with capacity 8,\nan edge from node 3 to node 6 with capacity 11,\nan edge from node 3 to node 14 with capacity 14,\nan edge from node 3 to node 10 with capacity 19,\nan edge from node 4 to node 16 with capacity 5,\nan edge from node 4 to node 1 with capacity 7,\nan edge from node 5 to node 6 with capacity 10,\nan edge from node 5 to node 11 with capacity 10,\nan edge from node 5 to node 9 with capacity 7,\nan edge from node 5 to node 8 with capacity 18,\nan edge from node 5 to node 14 with capacity 9,\nan edge from node 5 to node 15 with capacity 9,\nan edge from node 5 to node 10 with capacity 16,\nan edge from node 5 to node 1 with capacity 9,\nan edge from node 5 to node 3 with capacity 19,\nan edge from node 6 to node 14 with capacity 2,\nan edge from node 6 to node 3 with capacity 12,\nan edge from node 7 to node 11 with capacity 15,\nan edge from node 7 to node 14 with capacity 6,\nan edge from node 7 to node 4 with capacity 20,\nan edge from node 8 to node 7 with capacity 5,\nan edge from node 8 to node 11 with capacity 14,\nan edge from node 9 to node 13 with capacity 4,\nan edge from node 9 to node 2 with capacity 1,\nan edge from node 9 to node 14 with capacity 14,\nan edge from node 9 to node 15 with capacity 6,\nan edge from node 9 to node 4 with capacity 16,\nan edge from node 10 to node 5 with capacity 6,\nan edge from node 10 to node 16 with capacity 20,\nan edge from node 10 to node 9 with capacity 20,\nan edge from node 10 to node 2 with capacity 6,\nan edge from node 10 to node 14 with capacity 14,\nan edge from node 10 to node 15 with capacity 1,\nan edge from node 10 to node 1 with capacity 1,\nan edge from node 10 to node 4 with capacity 18,\nan edge from node 11 to node 16 with capacity 10,\nan edge from node 11 to node 8 with capacity 8,\nan edge from node 11 to node 15 with capacity 1,\nan edge from node 12 to node 16 with capacity 15,\nan edge from node 12 to node 7 with capacity 14,\nan edge from node 12 to node 13 with capacity 6,\nan edge from node 12 to node 2 with capacity 7,\nan edge from node 12 to node 1 with capacity 7,\nan edge from node 12 to node 4 with capacity 3,\nan edge from node 13 to node 6 with capacity 12,\nan edge from node 13 to node 0 with capacity 16,\nan edge from node 13 to node 11 with capacity 17,\nan edge from node 13 to node 8 with capacity 16,\nan edge from node 13 to node 14 with capacity 12,\nan edge from node 13 to node 10 with capacity 5,\nan edge from node 13 to node 4 with capacity 18,\nan edge from node 13 to node 3 with capacity 20,\nan edge from node 15 to node 6 with capacity 15,\nan edge from node 15 to node 14 with capacity 10,\nan edge from node 15 to node 3 with capacity 20,\nan edge from node 16 to node 11 with capacity 17,\nan edge from node 16 to node 2 with capacity 15,\nan edge from node 16 to node 10 with capacity 12,\nan edge from node 16 to node 3 with capacity 16,\nWhat is the maximum flow from node 3 to node 15:"
            },
            {
                "from": "gpt",
                "value": "19."
            }
        ]
    },
    {
        "id": "flow-hard-graph851",
        "image": "data/flow/graph_visual/hard/graph851.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 17 with capacity 17,\nan edge from node 0 to node 5 with capacity 17,\nan edge from node 0 to node 11 with capacity 16,\nan edge from node 0 to node 16 with capacity 10,\nan edge from node 1 to node 15 with capacity 20,\nan edge from node 1 to node 5 with capacity 13,\nan edge from node 1 to node 0 with capacity 18,\nan edge from node 1 to node 16 with capacity 6,\nan edge from node 2 to node 8 with capacity 12,\nan edge from node 2 to node 1 with capacity 7,\nan edge from node 2 to node 6 with capacity 6,\nan edge from node 3 to node 15 with capacity 14,\nan edge from node 3 to node 13 with capacity 13,\nan edge from node 3 to node 9 with capacity 20,\nan edge from node 4 to node 12 with capacity 18,\nan edge from node 4 to node 1 with capacity 11,\nan edge from node 4 to node 14 with capacity 9,\nan edge from node 4 to node 11 with capacity 19,\nan edge from node 4 to node 9 with capacity 16,\nan edge from node 4 to node 16 with capacity 18,\nan edge from node 5 to node 17 with capacity 5,\nan edge from node 5 to node 8 with capacity 14,\nan edge from node 5 to node 3 with capacity 12,\nan edge from node 5 to node 12 with capacity 15,\nan edge from node 5 to node 10 with capacity 7,\nan edge from node 5 to node 6 with capacity 8,\nan edge from node 6 to node 2 with capacity 20,\nan edge from node 6 to node 4 with capacity 2,\nan edge from node 6 to node 12 with capacity 7,\nan edge from node 6 to node 10 with capacity 1,\nan edge from node 6 to node 11 with capacity 5,\nan edge from node 7 to node 15 with capacity 15,\nan edge from node 7 to node 17 with capacity 14,\nan edge from node 7 to node 2 with capacity 11,\nan edge from node 7 to node 4 with capacity 8,\nan edge from node 8 to node 13 with capacity 1,\nan edge from node 8 to node 12 with capacity 9,\nan edge from node 9 to node 17 with capacity 9,\nan edge from node 9 to node 0 with capacity 9,\nan edge from node 10 to node 7 with capacity 13,\nan edge from node 11 to node 17 with capacity 12,\nan edge from node 11 to node 1 with capacity 20,\nan edge from node 11 to node 6 with capacity 20,\nan edge from node 12 to node 5 with capacity 12,\nan edge from node 12 to node 14 with capacity 1,\nan edge from node 12 to node 10 with capacity 15,\nan edge from node 13 to node 7 with capacity 17,\nan edge from node 13 to node 4 with capacity 12,\nan edge from node 13 to node 14 with capacity 4,\nan edge from node 14 to node 13 with capacity 4,\nan edge from node 14 to node 3 with capacity 2,\nan edge from node 14 to node 2 with capacity 3,\nan edge from node 14 to node 12 with capacity 18,\nan edge from node 15 to node 5 with capacity 11,\nan edge from node 15 to node 2 with capacity 9,\nan edge from node 15 to node 1 with capacity 16,\nan edge from node 16 to node 13 with capacity 14,\nan edge from node 16 to node 7 with capacity 3,\nan edge from node 16 to node 4 with capacity 14,\nan edge from node 16 to node 6 with capacity 15,\nan edge from node 17 to node 15 with capacity 9,\nan edge from node 17 to node 3 with capacity 7,\nan edge from node 17 to node 11 with capacity 5,\nWhat is the maximum flow from node 12 to node 14:"
            },
            {
                "from": "gpt",
                "value": "14."
            }
        ]
    },
    {
        "id": "flow-hard-graph94",
        "image": "data/flow/graph_visual/hard/graph94.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 7 with capacity 15,\nan edge from node 1 to node 5 with capacity 4,\nan edge from node 1 to node 4 with capacity 12,\nan edge from node 1 to node 8 with capacity 5,\nan edge from node 1 to node 6 with capacity 15,\nan edge from node 1 to node 0 with capacity 18,\nan edge from node 2 to node 5 with capacity 4,\nan edge from node 2 to node 10 with capacity 18,\nan edge from node 2 to node 3 with capacity 14,\nan edge from node 2 to node 0 with capacity 8,\nan edge from node 3 to node 6 with capacity 12,\nan edge from node 3 to node 7 with capacity 5,\nan edge from node 4 to node 1 with capacity 4,\nan edge from node 4 to node 6 with capacity 13,\nan edge from node 4 to node 7 with capacity 14,\nan edge from node 5 to node 8 with capacity 18,\nan edge from node 6 to node 5 with capacity 14,\nan edge from node 6 to node 1 with capacity 16,\nan edge from node 6 to node 9 with capacity 3,\nan edge from node 7 to node 10 with capacity 18,\nan edge from node 7 to node 8 with capacity 2,\nan edge from node 7 to node 0 with capacity 13,\nan edge from node 8 to node 3 with capacity 1,\nan edge from node 9 to node 5 with capacity 1,\nan edge from node 10 to node 5 with capacity 19,\nan edge from node 10 to node 3 with capacity 2,\nan edge from node 10 to node 0 with capacity 9,\nan edge from node 10 to node 7 with capacity 4,\nWhat is the maximum flow from node 1 to node 6:"
            },
            {
                "from": "gpt",
                "value": "30."
            }
        ]
    },
    {
        "id": "flow-hard-graph12",
        "image": "data/flow/graph_visual/hard/graph12.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 3 with capacity 18,\nan edge from node 0 to node 6 with capacity 9,\nan edge from node 0 to node 8 with capacity 4,\nan edge from node 0 to node 1 with capacity 18,\nan edge from node 0 to node 7 with capacity 4,\nan edge from node 0 to node 4 with capacity 5,\nan edge from node 0 to node 10 with capacity 20,\nan edge from node 1 to node 2 with capacity 8,\nan edge from node 2 to node 6 with capacity 4,\nan edge from node 2 to node 8 with capacity 3,\nan edge from node 2 to node 1 with capacity 19,\nan edge from node 2 to node 9 with capacity 11,\nan edge from node 2 to node 10 with capacity 5,\nan edge from node 3 to node 8 with capacity 20,\nan edge from node 3 to node 7 with capacity 16,\nan edge from node 3 to node 4 with capacity 8,\nan edge from node 4 to node 2 with capacity 18,\nan edge from node 4 to node 7 with capacity 2,\nan edge from node 5 to node 2 with capacity 5,\nan edge from node 5 to node 9 with capacity 15,\nan edge from node 6 to node 7 with capacity 20,\nan edge from node 6 to node 4 with capacity 3,\nan edge from node 6 to node 10 with capacity 19,\nan edge from node 7 to node 3 with capacity 10,\nan edge from node 7 to node 4 with capacity 9,\nan edge from node 8 to node 2 with capacity 11,\nan edge from node 8 to node 4 with capacity 16,\nan edge from node 9 to node 0 with capacity 19,\nan edge from node 9 to node 3 with capacity 17,\nan edge from node 9 to node 8 with capacity 12,\nan edge from node 9 to node 2 with capacity 3,\nan edge from node 10 to node 9 with capacity 11,\nWhat is the maximum flow from node 6 to node 4:"
            },
            {
                "from": "gpt",
                "value": "33."
            }
        ]
    },
    {
        "id": "flow-hard-graph526",
        "image": "data/flow/graph_visual/hard/graph526.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 5 with capacity 3,\nan edge from node 0 to node 7 with capacity 11,\nan edge from node 0 to node 2 with capacity 11,\nan edge from node 0 to node 10 with capacity 13,\nan edge from node 1 to node 4 with capacity 4,\nan edge from node 2 to node 7 with capacity 7,\nan edge from node 2 to node 3 with capacity 15,\nan edge from node 2 to node 1 with capacity 5,\nan edge from node 2 to node 8 with capacity 11,\nan edge from node 2 to node 0 with capacity 3,\nan edge from node 3 to node 7 with capacity 8,\nan edge from node 3 to node 10 with capacity 3,\nan edge from node 3 to node 11 with capacity 9,\nan edge from node 4 to node 1 with capacity 16,\nan edge from node 4 to node 13 with capacity 10,\nan edge from node 5 to node 9 with capacity 12,\nan edge from node 5 to node 8 with capacity 3,\nan edge from node 6 to node 4 with capacity 3,\nan edge from node 6 to node 10 with capacity 3,\nan edge from node 7 to node 5 with capacity 18,\nan edge from node 7 to node 2 with capacity 17,\nan edge from node 7 to node 14 with capacity 17,\nan edge from node 7 to node 12 with capacity 20,\nan edge from node 7 to node 1 with capacity 7,\nan edge from node 7 to node 8 with capacity 5,\nan edge from node 9 to node 12 with capacity 15,\nan edge from node 9 to node 3 with capacity 13,\nan edge from node 10 to node 9 with capacity 11,\nan edge from node 10 to node 11 with capacity 19,\nan edge from node 11 to node 4 with capacity 1,\nan edge from node 11 to node 9 with capacity 15,\nan edge from node 12 to node 5 with capacity 12,\nan edge from node 12 to node 3 with capacity 15,\nan edge from node 13 to node 12 with capacity 13,\nan edge from node 13 to node 9 with capacity 16,\nan edge from node 13 to node 11 with capacity 7,\nan edge from node 13 to node 0 with capacity 7,\nan edge from node 14 to node 2 with capacity 8,\nan edge from node 14 to node 10 with capacity 6,\nWhat is the maximum flow from node 2 to node 4:"
            },
            {
                "from": "gpt",
                "value": "5."
            }
        ]
    },
    {
        "id": "flow-hard-graph837",
        "image": "data/flow/graph_visual/hard/graph837.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 7 with capacity 9,\nan edge from node 0 to node 4 with capacity 4,\nan edge from node 0 to node 11 with capacity 8,\nan edge from node 1 to node 15 with capacity 14,\nan edge from node 1 to node 3 with capacity 6,\nan edge from node 1 to node 8 with capacity 18,\nan edge from node 2 to node 9 with capacity 13,\nan edge from node 2 to node 6 with capacity 17,\nan edge from node 2 to node 10 with capacity 8,\nan edge from node 3 to node 2 with capacity 11,\nan edge from node 3 to node 15 with capacity 9,\nan edge from node 3 to node 6 with capacity 10,\nan edge from node 3 to node 13 with capacity 10,\nan edge from node 3 to node 0 with capacity 7,\nan edge from node 3 to node 11 with capacity 11,\nan edge from node 4 to node 9 with capacity 9,\nan edge from node 4 to node 16 with capacity 8,\nan edge from node 4 to node 7 with capacity 3,\nan edge from node 4 to node 13 with capacity 13,\nan edge from node 4 to node 0 with capacity 17,\nan edge from node 5 to node 9 with capacity 16,\nan edge from node 5 to node 16 with capacity 10,\nan edge from node 5 to node 14 with capacity 7,\nan edge from node 5 to node 0 with capacity 14,\nan edge from node 5 to node 10 with capacity 10,\nan edge from node 6 to node 16 with capacity 2,\nan edge from node 6 to node 13 with capacity 17,\nan edge from node 6 to node 0 with capacity 17,\nan edge from node 7 to node 3 with capacity 13,\nan edge from node 7 to node 0 with capacity 11,\nan edge from node 8 to node 16 with capacity 19,\nan edge from node 8 to node 3 with capacity 4,\nan edge from node 8 to node 12 with capacity 17,\nan edge from node 8 to node 1 with capacity 6,\nan edge from node 8 to node 6 with capacity 16,\nan edge from node 9 to node 3 with capacity 10,\nan edge from node 9 to node 1 with capacity 2,\nan edge from node 9 to node 6 with capacity 9,\nan edge from node 9 to node 5 with capacity 8,\nan edge from node 9 to node 14 with capacity 16,\nan edge from node 10 to node 9 with capacity 13,\nan edge from node 10 to node 16 with capacity 18,\nan edge from node 10 to node 1 with capacity 11,\nan edge from node 10 to node 6 with capacity 17,\nan edge from node 10 to node 13 with capacity 6,\nan edge from node 10 to node 8 with capacity 13,\nan edge from node 11 to node 9 with capacity 2,\nan edge from node 11 to node 16 with capacity 2,\nan edge from node 11 to node 3 with capacity 11,\nan edge from node 11 to node 7 with capacity 18,\nan edge from node 11 to node 8 with capacity 2,\nan edge from node 12 to node 15 with capacity 13,\nan edge from node 12 to node 6 with capacity 14,\nan edge from node 12 to node 4 with capacity 4,\nan edge from node 12 to node 13 with capacity 2,\nan edge from node 12 to node 5 with capacity 11,\nan edge from node 13 to node 2 with capacity 8,\nan edge from node 13 to node 8 with capacity 11,\nan edge from node 13 to node 10 with capacity 19,\nan edge from node 14 to node 3 with capacity 15,\nan edge from node 15 to node 2 with capacity 4,\nan edge from node 15 to node 4 with capacity 4,\nan edge from node 15 to node 0 with capacity 15,\nan edge from node 16 to node 2 with capacity 3,\nan edge from node 16 to node 1 with capacity 17,\nan edge from node 16 to node 7 with capacity 4,\nan edge from node 16 to node 11 with capacity 2,\nWhat is the maximum flow from node 3 to node 7:"
            },
            {
                "from": "gpt",
                "value": "34."
            }
        ]
    },
    {
        "id": "flow-hard-graph1121",
        "image": "data/flow/graph_visual/hard/graph1121.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 5 with capacity 2,\nan edge from node 0 to node 15 with capacity 5,\nan edge from node 0 to node 6 with capacity 15,\nan edge from node 0 to node 1 with capacity 19,\nan edge from node 0 to node 2 with capacity 12,\nan edge from node 0 to node 18 with capacity 3,\nan edge from node 1 to node 12 with capacity 17,\nan edge from node 1 to node 3 with capacity 9,\nan edge from node 1 to node 4 with capacity 2,\nan edge from node 1 to node 10 with capacity 18,\nan edge from node 1 to node 14 with capacity 13,\nan edge from node 1 to node 16 with capacity 15,\nan edge from node 1 to node 17 with capacity 5,\nan edge from node 1 to node 7 with capacity 15,\nan edge from node 2 to node 8 with capacity 13,\nan edge from node 2 to node 14 with capacity 12,\nan edge from node 2 to node 7 with capacity 10,\nan edge from node 2 to node 0 with capacity 2,\nan edge from node 3 to node 12 with capacity 20,\nan edge from node 3 to node 8 with capacity 3,\nan edge from node 3 to node 11 with capacity 2,\nan edge from node 3 to node 15 with capacity 2,\nan edge from node 3 to node 1 with capacity 16,\nan edge from node 3 to node 18 with capacity 14,\nan edge from node 4 to node 8 with capacity 4,\nan edge from node 4 to node 17 with capacity 1,\nan edge from node 4 to node 15 with capacity 7,\nan edge from node 4 to node 7 with capacity 19,\nan edge from node 4 to node 18 with capacity 16,\nan edge from node 5 to node 10 with capacity 20,\nan edge from node 5 to node 1 with capacity 1,\nan edge from node 5 to node 0 with capacity 12,\nan edge from node 5 to node 18 with capacity 16,\nan edge from node 6 to node 12 with capacity 4,\nan edge from node 6 to node 7 with capacity 18,\nan edge from node 6 to node 0 with capacity 1,\nan edge from node 7 to node 12 with capacity 2,\nan edge from node 7 to node 10 with capacity 13,\nan edge from node 7 to node 6 with capacity 18,\nan edge from node 7 to node 1 with capacity 17,\nan edge from node 7 to node 2 with capacity 18,\nan edge from node 8 to node 9 with capacity 14,\nan edge from node 8 to node 11 with capacity 10,\nan edge from node 8 to node 0 with capacity 18,\nan edge from node 9 to node 3 with capacity 18,\nan edge from node 9 to node 7 with capacity 7,\nan edge from node 10 to node 3 with capacity 19,\nan edge from node 10 to node 8 with capacity 14,\nan edge from node 10 to node 11 with capacity 10,\nan edge from node 10 to node 14 with capacity 5,\nan edge from node 10 to node 5 with capacity 2,\nan edge from node 10 to node 15 with capacity 15,\nan edge from node 10 to node 18 with capacity 19,\nan edge from node 11 to node 1 with capacity 2,\nan edge from node 11 to node 18 with capacity 15,\nan edge from node 12 to node 13 with capacity 2,\nan edge from node 12 to node 5 with capacity 3,\nan edge from node 12 to node 16 with capacity 14,\nan edge from node 12 to node 19 with capacity 11,\nan edge from node 12 to node 2 with capacity 19,\nan edge from node 12 to node 0 with capacity 6,\nan edge from node 12 to node 18 with capacity 5,\nan edge from node 13 to node 17 with capacity 19,\nan edge from node 13 to node 15 with capacity 8,\nan edge from node 13 to node 19 with capacity 20,\nan edge from node 14 to node 9 with capacity 17,\nan edge from node 14 to node 4 with capacity 17,\nan edge from node 14 to node 6 with capacity 6,\nan edge from node 14 to node 7 with capacity 13,\nan edge from node 15 to node 12 with capacity 11,\nan edge from node 15 to node 9 with capacity 19,\nan edge from node 15 to node 13 with capacity 11,\nan edge from node 15 to node 10 with capacity 13,\nan edge from node 15 to node 14 with capacity 17,\nan edge from node 15 to node 6 with capacity 16,\nan edge from node 15 to node 2 with capacity 11,\nan edge from node 16 to node 11 with capacity 15,\nan edge from node 16 to node 13 with capacity 19,\nan edge from node 16 to node 15 with capacity 11,\nan edge from node 16 to node 6 with capacity 20,\nan edge from node 16 to node 1 with capacity 7,\nan edge from node 16 to node 2 with capacity 17,\nan edge from node 16 to node 18 with capacity 3,\nan edge from node 17 to node 9 with capacity 13,\nan edge from node 17 to node 10 with capacity 9,\nan edge from node 17 to node 5 with capacity 4,\nan edge from node 17 to node 16 with capacity 12,\nan edge from node 17 to node 19 with capacity 13,\nan edge from node 17 to node 1 with capacity 8,\nan edge from node 17 to node 2 with capacity 20,\nan edge from node 17 to node 7 with capacity 12,\nan edge from node 18 to node 9 with capacity 11,\nan edge from node 18 to node 4 with capacity 1,\nan edge from node 18 to node 6 with capacity 1,\nan edge from node 18 to node 7 with capacity 13,\nan edge from node 19 to node 8 with capacity 16,\nan edge from node 19 to node 5 with capacity 19,\nan edge from node 19 to node 17 with capacity 1,\nan edge from node 19 to node 1 with capacity 7,\nWhat is the maximum flow from node 5 to node 6:"
            },
            {
                "from": "gpt",
                "value": "49."
            }
        ]
    },
    {
        "id": "flow-hard-graph1147",
        "image": "data/flow/graph_visual/hard/graph1147.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 9 with capacity 11,\nan edge from node 0 to node 1 with capacity 15,\nan edge from node 0 to node 16 with capacity 8,\nan edge from node 0 to node 4 with capacity 2,\nan edge from node 0 to node 17 with capacity 7,\nan edge from node 1 to node 15 with capacity 19,\nan edge from node 1 to node 0 with capacity 14,\nan edge from node 1 to node 5 with capacity 18,\nan edge from node 1 to node 13 with capacity 3,\nan edge from node 2 to node 1 with capacity 7,\nan edge from node 2 to node 14 with capacity 4,\nan edge from node 2 to node 13 with capacity 11,\nan edge from node 2 to node 17 with capacity 17,\nan edge from node 3 to node 18 with capacity 3,\nan edge from node 3 to node 7 with capacity 19,\nan edge from node 3 to node 19 with capacity 3,\nan edge from node 3 to node 6 with capacity 7,\nan edge from node 3 to node 2 with capacity 7,\nan edge from node 3 to node 8 with capacity 14,\nan edge from node 3 to node 17 with capacity 6,\nan edge from node 4 to node 9 with capacity 1,\nan edge from node 4 to node 0 with capacity 3,\nan edge from node 4 to node 6 with capacity 17,\nan edge from node 5 to node 15 with capacity 7,\nan edge from node 5 to node 9 with capacity 19,\nan edge from node 5 to node 10 with capacity 13,\nan edge from node 5 to node 6 with capacity 9,\nan edge from node 5 to node 2 with capacity 5,\nan edge from node 5 to node 14 with capacity 4,\nan edge from node 5 to node 16 with capacity 14,\nan edge from node 5 to node 17 with capacity 9,\nan edge from node 6 to node 18 with capacity 6,\nan edge from node 6 to node 7 with capacity 6,\nan edge from node 6 to node 2 with capacity 7,\nan edge from node 7 to node 9 with capacity 10,\nan edge from node 7 to node 1 with capacity 4,\nan edge from node 7 to node 19 with capacity 7,\nan edge from node 7 to node 17 with capacity 4,\nan edge from node 8 to node 10 with capacity 3,\nan edge from node 8 to node 18 with capacity 17,\nan edge from node 8 to node 1 with capacity 9,\nan edge from node 8 to node 6 with capacity 20,\nan edge from node 8 to node 12 with capacity 1,\nan edge from node 8 to node 3 with capacity 4,\nan edge from node 8 to node 4 with capacity 13,\nan edge from node 8 to node 13 with capacity 18,\nan edge from node 9 to node 1 with capacity 5,\nan edge from node 10 to node 15 with capacity 8,\nan edge from node 10 to node 18 with capacity 13,\nan edge from node 10 to node 5 with capacity 18,\nan edge from node 10 to node 11 with capacity 20,\nan edge from node 11 to node 9 with capacity 20,\nan edge from node 11 to node 18 with capacity 2,\nan edge from node 11 to node 7 with capacity 5,\nan edge from node 11 to node 1 with capacity 15,\nan edge from node 11 to node 5 with capacity 4,\nan edge from node 11 to node 8 with capacity 2,\nan edge from node 11 to node 13 with capacity 8,\nan edge from node 12 to node 4 with capacity 10,\nan edge from node 13 to node 1 with capacity 19,\nan edge from node 13 to node 0 with capacity 5,\nan edge from node 13 to node 6 with capacity 12,\nan edge from node 13 to node 12 with capacity 20,\nan edge from node 13 to node 8 with capacity 5,\nan edge from node 14 to node 15 with capacity 18,\nan edge from node 14 to node 10 with capacity 18,\nan edge from node 14 to node 12 with capacity 19,\nan edge from node 14 to node 8 with capacity 14,\nan edge from node 15 to node 18 with capacity 20,\nan edge from node 15 to node 6 with capacity 7,\nan edge from node 15 to node 2 with capacity 10,\nan edge from node 15 to node 14 with capacity 19,\nan edge from node 15 to node 16 with capacity 18,\nan edge from node 15 to node 11 with capacity 13,\nan edge from node 15 to node 4 with capacity 7,\nan edge from node 16 to node 10 with capacity 6,\nan edge from node 16 to node 1 with capacity 17,\nan edge from node 16 to node 0 with capacity 16,\nan edge from node 16 to node 6 with capacity 10,\nan edge from node 16 to node 2 with capacity 18,\nan edge from node 16 to node 5 with capacity 12,\nan edge from node 17 to node 9 with capacity 8,\nan edge from node 17 to node 5 with capacity 14,\nan edge from node 18 to node 1 with capacity 16,\nan edge from node 18 to node 0 with capacity 4,\nan edge from node 18 to node 2 with capacity 19,\nan edge from node 18 to node 12 with capacity 19,\nan edge from node 18 to node 16 with capacity 1,\nan edge from node 18 to node 4 with capacity 1,\nan edge from node 19 to node 15 with capacity 18,\nan edge from node 19 to node 9 with capacity 5,\nan edge from node 19 to node 1 with capacity 19,\nan edge from node 19 to node 2 with capacity 14,\nan edge from node 19 to node 17 with capacity 16,\nWhat is the maximum flow from node 11 to node 14:"
            },
            {
                "from": "gpt",
                "value": "27."
            }
        ]
    },
    {
        "id": "flow-hard-graph1131",
        "image": "data/flow/graph_visual/hard/graph1131.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 6 with capacity 9,\nan edge from node 0 to node 5 with capacity 3,\nan edge from node 0 to node 3 with capacity 2,\nan edge from node 0 to node 16 with capacity 15,\nan edge from node 0 to node 19 with capacity 17,\nan edge from node 0 to node 17 with capacity 8,\nan edge from node 0 to node 2 with capacity 2,\nan edge from node 0 to node 15 with capacity 15,\nan edge from node 0 to node 12 with capacity 12,\nan edge from node 0 to node 8 with capacity 1,\nan edge from node 1 to node 11 with capacity 13,\nan edge from node 1 to node 16 with capacity 17,\nan edge from node 1 to node 18 with capacity 5,\nan edge from node 1 to node 19 with capacity 18,\nan edge from node 1 to node 4 with capacity 7,\nan edge from node 1 to node 2 with capacity 5,\nan edge from node 2 to node 3 with capacity 17,\nan edge from node 2 to node 11 with capacity 5,\nan edge from node 2 to node 18 with capacity 6,\nan edge from node 2 to node 12 with capacity 5,\nan edge from node 3 to node 14 with capacity 15,\nan edge from node 3 to node 4 with capacity 9,\nan edge from node 3 to node 10 with capacity 10,\nan edge from node 4 to node 1 with capacity 12,\nan edge from node 4 to node 5 with capacity 8,\nan edge from node 4 to node 9 with capacity 7,\nan edge from node 4 to node 2 with capacity 13,\nan edge from node 4 to node 8 with capacity 11,\nan edge from node 4 to node 10 with capacity 1,\nan edge from node 4 to node 13 with capacity 14,\nan edge from node 5 to node 3 with capacity 18,\nan edge from node 5 to node 14 with capacity 12,\nan edge from node 5 to node 9 with capacity 9,\nan edge from node 5 to node 19 with capacity 6,\nan edge from node 5 to node 2 with capacity 10,\nan edge from node 5 to node 12 with capacity 12,\nan edge from node 6 to node 7 with capacity 14,\nan edge from node 6 to node 5 with capacity 13,\nan edge from node 6 to node 4 with capacity 20,\nan edge from node 6 to node 8 with capacity 4,\nan edge from node 7 to node 6 with capacity 8,\nan edge from node 7 to node 1 with capacity 19,\nan edge from node 7 to node 19 with capacity 20,\nan edge from node 7 to node 17 with capacity 7,\nan edge from node 7 to node 4 with capacity 19,\nan edge from node 7 to node 8 with capacity 5,\nan edge from node 7 to node 13 with capacity 3,\nan edge from node 8 to node 3 with capacity 14,\nan edge from node 8 to node 19 with capacity 5,\nan edge from node 8 to node 2 with capacity 6,\nan edge from node 9 to node 3 with capacity 4,\nan edge from node 9 to node 0 with capacity 6,\nan edge from node 9 to node 8 with capacity 1,\nan edge from node 10 to node 7 with capacity 10,\nan edge from node 10 to node 3 with capacity 7,\nan edge from node 10 to node 2 with capacity 20,\nan edge from node 10 to node 15 with capacity 15,\nan edge from node 11 to node 7 with capacity 1,\nan edge from node 11 to node 9 with capacity 18,\nan edge from node 11 to node 12 with capacity 17,\nan edge from node 12 to node 3 with capacity 14,\nan edge from node 12 to node 9 with capacity 6,\nan edge from node 12 to node 18 with capacity 10,\nan edge from node 12 to node 0 with capacity 15,\nan edge from node 12 to node 2 with capacity 15,\nan edge from node 12 to node 8 with capacity 9,\nan edge from node 12 to node 10 with capacity 16,\nan edge from node 13 to node 6 with capacity 12,\nan edge from node 13 to node 11 with capacity 12,\nan edge from node 13 to node 16 with capacity 5,\nan edge from node 13 to node 15 with capacity 10,\nan edge from node 13 to node 8 with capacity 10,\nan edge from node 14 to node 3 with capacity 8,\nan edge from node 14 to node 16 with capacity 12,\nan edge from node 14 to node 9 with capacity 9,\nan edge from node 14 to node 18 with capacity 19,\nan edge from node 14 to node 17 with capacity 8,\nan edge from node 14 to node 2 with capacity 6,\nan edge from node 14 to node 12 with capacity 8,\nan edge from node 15 to node 6 with capacity 6,\nan edge from node 15 to node 3 with capacity 11,\nan edge from node 15 to node 16 with capacity 6,\nan edge from node 15 to node 17 with capacity 6,\nan edge from node 15 to node 8 with capacity 12,\nan edge from node 16 to node 15 with capacity 3,\nan edge from node 16 to node 10 with capacity 14,\nan edge from node 17 to node 6 with capacity 1,\nan edge from node 17 to node 14 with capacity 14,\nan edge from node 17 to node 15 with capacity 9,\nan edge from node 17 to node 10 with capacity 1,\nan edge from node 18 to node 14 with capacity 17,\nan edge from node 18 to node 19 with capacity 18,\nan edge from node 18 to node 2 with capacity 10,\nan edge from node 18 to node 12 with capacity 15,\nan edge from node 18 to node 8 with capacity 12,\nan edge from node 18 to node 13 with capacity 5,\nan edge from node 19 to node 6 with capacity 11,\nan edge from node 19 to node 1 with capacity 17,\nan edge from node 19 to node 5 with capacity 8,\nan edge from node 19 to node 15 with capacity 4,\nan edge from node 19 to node 12 with capacity 3,\nWhat is the maximum flow from node 15 to node 13:"
            },
            {
                "from": "gpt",
                "value": "22."
            }
        ]
    },
    {
        "id": "flow-hard-graph1067",
        "image": "data/flow/graph_visual/hard/graph1067.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 5 with capacity 15,\nan edge from node 0 to node 8 with capacity 4,\nan edge from node 0 to node 12 with capacity 6,\nan edge from node 0 to node 3 with capacity 6,\nan edge from node 0 to node 17 with capacity 11,\nan edge from node 1 to node 7 with capacity 1,\nan edge from node 1 to node 0 with capacity 1,\nan edge from node 1 to node 5 with capacity 14,\nan edge from node 1 to node 13 with capacity 20,\nan edge from node 1 to node 16 with capacity 4,\nan edge from node 1 to node 8 with capacity 18,\nan edge from node 1 to node 14 with capacity 16,\nan edge from node 2 to node 7 with capacity 10,\nan edge from node 2 to node 13 with capacity 20,\nan edge from node 2 to node 18 with capacity 2,\nan edge from node 3 to node 0 with capacity 5,\nan edge from node 3 to node 5 with capacity 11,\nan edge from node 3 to node 15 with capacity 6,\nan edge from node 3 to node 14 with capacity 4,\nan edge from node 4 to node 7 with capacity 17,\nan edge from node 4 to node 11 with capacity 13,\nan edge from node 4 to node 15 with capacity 11,\nan edge from node 4 to node 12 with capacity 14,\nan edge from node 4 to node 14 with capacity 8,\nan edge from node 4 to node 17 with capacity 10,\nan edge from node 5 to node 10 with capacity 18,\nan edge from node 5 to node 7 with capacity 5,\nan edge from node 5 to node 11 with capacity 17,\nan edge from node 5 to node 1 with capacity 4,\nan edge from node 6 to node 4 with capacity 15,\nan edge from node 6 to node 0 with capacity 9,\nan edge from node 6 to node 15 with capacity 9,\nan edge from node 6 to node 14 with capacity 6,\nan edge from node 7 to node 16 with capacity 12,\nan edge from node 7 to node 18 with capacity 6,\nan edge from node 7 to node 9 with capacity 5,\nan edge from node 7 to node 14 with capacity 3,\nan edge from node 7 to node 3 with capacity 5,\nan edge from node 8 to node 7 with capacity 17,\nan edge from node 8 to node 5 with capacity 3,\nan edge from node 8 to node 6 with capacity 9,\nan edge from node 8 to node 11 with capacity 13,\nan edge from node 9 to node 4 with capacity 9,\nan edge from node 9 to node 5 with capacity 3,\nan edge from node 9 to node 8 with capacity 1,\nan edge from node 9 to node 11 with capacity 7,\nan edge from node 10 to node 4 with capacity 18,\nan edge from node 10 to node 7 with capacity 7,\nan edge from node 10 to node 0 with capacity 20,\nan edge from node 10 to node 15 with capacity 15,\nan edge from node 10 to node 12 with capacity 8,\nan edge from node 10 to node 14 with capacity 18,\nan edge from node 10 to node 17 with capacity 15,\nan edge from node 11 to node 4 with capacity 8,\nan edge from node 11 to node 10 with capacity 10,\nan edge from node 11 to node 8 with capacity 4,\nan edge from node 11 to node 1 with capacity 2,\nan edge from node 11 to node 3 with capacity 8,\nan edge from node 12 to node 4 with capacity 12,\nan edge from node 12 to node 5 with capacity 13,\nan edge from node 12 to node 13 with capacity 9,\nan edge from node 12 to node 16 with capacity 14,\nan edge from node 12 to node 9 with capacity 6,\nan edge from node 12 to node 15 with capacity 2,\nan edge from node 13 to node 7 with capacity 4,\nan edge from node 13 to node 2 with capacity 18,\nan edge from node 13 to node 9 with capacity 6,\nan edge from node 14 to node 12 with capacity 16,\nan edge from node 15 to node 0 with capacity 11,\nan edge from node 15 to node 13 with capacity 10,\nan edge from node 15 to node 11 with capacity 12,\nan edge from node 15 to node 12 with capacity 2,\nan edge from node 16 to node 0 with capacity 18,\nan edge from node 16 to node 5 with capacity 15,\nan edge from node 16 to node 6 with capacity 2,\nan edge from node 16 to node 18 with capacity 9,\nan edge from node 16 to node 9 with capacity 19,\nan edge from node 17 to node 4 with capacity 6,\nan edge from node 17 to node 6 with capacity 3,\nan edge from node 17 to node 18 with capacity 6,\nan edge from node 17 to node 1 with capacity 8,\nan edge from node 18 to node 0 with capacity 10,\nan edge from node 18 to node 5 with capacity 11,\nan edge from node 18 to node 8 with capacity 14,\nWhat is the maximum flow from node 17 to node 14:"
            },
            {
                "from": "gpt",
                "value": "23."
            }
        ]
    },
    {
        "id": "flow-hard-graph435",
        "image": "data/flow/graph_visual/hard/graph435.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 3 with capacity 17,\nan edge from node 1 to node 7 with capacity 1,\nan edge from node 1 to node 9 with capacity 5,\nan edge from node 1 to node 6 with capacity 8,\nan edge from node 1 to node 8 with capacity 20,\nan edge from node 2 to node 6 with capacity 2,\nan edge from node 3 to node 10 with capacity 14,\nan edge from node 3 to node 7 with capacity 5,\nan edge from node 3 to node 9 with capacity 12,\nan edge from node 3 to node 5 with capacity 5,\nan edge from node 3 to node 11 with capacity 3,\nan edge from node 4 to node 10 with capacity 15,\nan edge from node 5 to node 0 with capacity 13,\nan edge from node 5 to node 10 with capacity 10,\nan edge from node 5 to node 6 with capacity 14,\nan edge from node 5 to node 11 with capacity 14,\nan edge from node 6 to node 0 with capacity 20,\nan edge from node 6 to node 10 with capacity 15,\nan edge from node 6 to node 4 with capacity 19,\nan edge from node 6 to node 1 with capacity 5,\nan edge from node 7 to node 9 with capacity 14,\nan edge from node 8 to node 7 with capacity 5,\nan edge from node 8 to node 11 with capacity 11,\nan edge from node 9 to node 0 with capacity 2,\nan edge from node 9 to node 10 with capacity 16,\nan edge from node 9 to node 12 with capacity 17,\nan edge from node 9 to node 1 with capacity 9,\nan edge from node 9 to node 5 with capacity 18,\nan edge from node 9 to node 8 with capacity 1,\nan edge from node 10 to node 4 with capacity 5,\nan edge from node 10 to node 1 with capacity 17,\nan edge from node 10 to node 8 with capacity 12,\nan edge from node 11 to node 13 with capacity 4,\nan edge from node 11 to node 4 with capacity 1,\nan edge from node 11 to node 12 with capacity 1,\nan edge from node 11 to node 5 with capacity 17,\nan edge from node 11 to node 8 with capacity 16,\nan edge from node 12 to node 3 with capacity 18,\nan edge from node 12 to node 0 with capacity 8,\nan edge from node 12 to node 10 with capacity 9,\nan edge from node 13 to node 10 with capacity 4,\nan edge from node 13 to node 12 with capacity 18,\nan edge from node 13 to node 1 with capacity 5,\nan edge from node 13 to node 8 with capacity 5,\nWhat is the maximum flow from node 3 to node 4:"
            },
            {
                "from": "gpt",
                "value": "25."
            }
        ]
    },
    {
        "id": "flow-hard-graph659",
        "image": "data/flow/graph_visual/hard/graph659.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 12 with capacity 16,\nan edge from node 0 to node 11 with capacity 11,\nan edge from node 1 to node 13 with capacity 6,\nan edge from node 1 to node 14 with capacity 15,\nan edge from node 1 to node 8 with capacity 19,\nan edge from node 1 to node 6 with capacity 4,\nan edge from node 2 to node 13 with capacity 4,\nan edge from node 2 to node 5 with capacity 17,\nan edge from node 2 to node 4 with capacity 15,\nan edge from node 3 to node 2 with capacity 14,\nan edge from node 3 to node 7 with capacity 17,\nan edge from node 4 to node 12 with capacity 4,\nan edge from node 4 to node 5 with capacity 11,\nan edge from node 4 to node 14 with capacity 5,\nan edge from node 4 to node 0 with capacity 6,\nan edge from node 4 to node 7 with capacity 3,\nan edge from node 4 to node 15 with capacity 4,\nan edge from node 5 to node 9 with capacity 12,\nan edge from node 5 to node 1 with capacity 16,\nan edge from node 5 to node 11 with capacity 9,\nan edge from node 5 to node 6 with capacity 5,\nan edge from node 6 to node 7 with capacity 14,\nan edge from node 7 to node 9 with capacity 4,\nan edge from node 7 to node 12 with capacity 9,\nan edge from node 7 to node 5 with capacity 15,\nan edge from node 7 to node 10 with capacity 4,\nan edge from node 7 to node 2 with capacity 13,\nan edge from node 7 to node 4 with capacity 16,\nan edge from node 7 to node 15 with capacity 9,\nan edge from node 8 to node 10 with capacity 12,\nan edge from node 8 to node 0 with capacity 17,\nan edge from node 9 to node 5 with capacity 9,\nan edge from node 9 to node 10 with capacity 2,\nan edge from node 9 to node 2 with capacity 6,\nan edge from node 9 to node 15 with capacity 15,\nan edge from node 10 to node 3 with capacity 17,\nan edge from node 10 to node 1 with capacity 13,\nan edge from node 10 to node 14 with capacity 2,\nan edge from node 10 to node 11 with capacity 14,\nan edge from node 10 to node 0 with capacity 8,\nan edge from node 10 to node 15 with capacity 10,\nan edge from node 10 to node 6 with capacity 14,\nan edge from node 11 to node 1 with capacity 19,\nan edge from node 11 to node 12 with capacity 19,\nan edge from node 11 to node 2 with capacity 12,\nan edge from node 11 to node 4 with capacity 10,\nan edge from node 11 to node 0 with capacity 8,\nan edge from node 12 to node 9 with capacity 7,\nan edge from node 12 to node 6 with capacity 18,\nan edge from node 13 to node 12 with capacity 5,\nan edge from node 13 to node 11 with capacity 1,\nan edge from node 14 to node 9 with capacity 10,\nan edge from node 14 to node 13 with capacity 20,\nan edge from node 15 to node 1 with capacity 15,\nan edge from node 15 to node 12 with capacity 12,\nan edge from node 15 to node 10 with capacity 3,\nan edge from node 15 to node 2 with capacity 10,\nan edge from node 15 to node 11 with capacity 6,\nWhat is the maximum flow from node 11 to node 6:"
            },
            {
                "from": "gpt",
                "value": "41."
            }
        ]
    },
    {
        "id": "flow-hard-graph199",
        "image": "data/flow/graph_visual/hard/graph199.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 9 with capacity 12,\nan edge from node 0 to node 3 with capacity 19,\nan edge from node 1 to node 8 with capacity 1,\nan edge from node 1 to node 2 with capacity 8,\nan edge from node 2 to node 9 with capacity 19,\nan edge from node 2 to node 4 with capacity 15,\nan edge from node 2 to node 6 with capacity 13,\nan edge from node 2 to node 11 with capacity 10,\nan edge from node 3 to node 10 with capacity 4,\nan edge from node 3 to node 8 with capacity 1,\nan edge from node 3 to node 9 with capacity 15,\nan edge from node 3 to node 1 with capacity 10,\nan edge from node 3 to node 6 with capacity 13,\nan edge from node 4 to node 11 with capacity 2,\nan edge from node 5 to node 8 with capacity 10,\nan edge from node 5 to node 9 with capacity 7,\nan edge from node 5 to node 3 with capacity 15,\nan edge from node 5 to node 1 with capacity 10,\nan edge from node 6 to node 5 with capacity 11,\nan edge from node 6 to node 3 with capacity 13,\nan edge from node 7 to node 0 with capacity 20,\nan edge from node 7 to node 1 with capacity 10,\nan edge from node 7 to node 6 with capacity 1,\nan edge from node 8 to node 2 with capacity 16,\nan edge from node 8 to node 3 with capacity 16,\nan edge from node 8 to node 6 with capacity 11,\nan edge from node 8 to node 11 with capacity 13,\nan edge from node 10 to node 8 with capacity 17,\nan edge from node 10 to node 0 with capacity 14,\nan edge from node 10 to node 11 with capacity 17,\nan edge from node 11 to node 8 with capacity 16,\nan edge from node 11 to node 9 with capacity 5,\nWhat is the maximum flow from node 8 to node 1:"
            },
            {
                "from": "gpt",
                "value": "20."
            }
        ]
    },
    {
        "id": "flow-hard-graph214",
        "image": "data/flow/graph_visual/hard/graph214.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 9 with capacity 16,\nan edge from node 0 to node 11 with capacity 13,\nan edge from node 1 to node 7 with capacity 4,\nan edge from node 1 to node 4 with capacity 4,\nan edge from node 1 to node 0 with capacity 10,\nan edge from node 1 to node 11 with capacity 15,\nan edge from node 2 to node 4 with capacity 8,\nan edge from node 2 to node 5 with capacity 4,\nan edge from node 2 to node 10 with capacity 5,\nan edge from node 3 to node 7 with capacity 13,\nan edge from node 3 to node 11 with capacity 10,\nan edge from node 4 to node 5 with capacity 20,\nan edge from node 4 to node 10 with capacity 13,\nan edge from node 5 to node 9 with capacity 8,\nan edge from node 5 to node 0 with capacity 1,\nan edge from node 6 to node 2 with capacity 19,\nan edge from node 7 to node 9 with capacity 4,\nan edge from node 7 to node 2 with capacity 6,\nan edge from node 7 to node 10 with capacity 6,\nan edge from node 8 to node 11 with capacity 8,\nan edge from node 9 to node 0 with capacity 3,\nan edge from node 9 to node 11 with capacity 11,\nan edge from node 9 to node 10 with capacity 12,\nan edge from node 10 to node 6 with capacity 14,\nan edge from node 10 to node 2 with capacity 2,\nan edge from node 10 to node 3 with capacity 13,\nan edge from node 11 to node 6 with capacity 14,\nan edge from node 11 to node 3 with capacity 14,\nWhat is the maximum flow from node 9 to node 7:"
            },
            {
                "from": "gpt",
                "value": "13."
            }
        ]
    },
    {
        "id": "flow-hard-graph218",
        "image": "data/flow/graph_visual/hard/graph218.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 11 with capacity 15,\nan edge from node 0 to node 5 with capacity 20,\nan edge from node 0 to node 9 with capacity 4,\nan edge from node 1 to node 8 with capacity 8,\nan edge from node 1 to node 10 with capacity 12,\nan edge from node 2 to node 1 with capacity 9,\nan edge from node 2 to node 8 with capacity 16,\nan edge from node 2 to node 10 with capacity 3,\nan edge from node 2 to node 6 with capacity 11,\nan edge from node 2 to node 9 with capacity 10,\nan edge from node 3 to node 11 with capacity 9,\nan edge from node 3 to node 5 with capacity 15,\nan edge from node 4 to node 7 with capacity 19,\nan edge from node 5 to node 6 with capacity 20,\nan edge from node 5 to node 3 with capacity 5,\nan edge from node 6 to node 11 with capacity 8,\nan edge from node 6 to node 8 with capacity 16,\nan edge from node 6 to node 9 with capacity 7,\nan edge from node 7 to node 10 with capacity 5,\nan edge from node 7 to node 0 with capacity 11,\nan edge from node 7 to node 3 with capacity 14,\nan edge from node 8 to node 9 with capacity 6,\nan edge from node 8 to node 0 with capacity 15,\nan edge from node 9 to node 8 with capacity 14,\nan edge from node 9 to node 5 with capacity 15,\nan edge from node 10 to node 1 with capacity 11,\nan edge from node 10 to node 5 with capacity 12,\nan edge from node 10 to node 0 with capacity 2,\nan edge from node 11 to node 7 with capacity 10,\nan edge from node 11 to node 2 with capacity 1,\nan edge from node 11 to node 5 with capacity 4,\nan edge from node 11 to node 6 with capacity 1,\nWhat is the maximum flow from node 0 to node 5:"
            },
            {
                "from": "gpt",
                "value": "39."
            }
        ]
    },
    {
        "id": "flow-hard-graph11",
        "image": "data/flow/graph_visual/hard/graph11.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 4 with capacity 9,\nan edge from node 0 to node 10 with capacity 18,\nan edge from node 1 to node 6 with capacity 9,\nan edge from node 1 to node 3 with capacity 19,\nan edge from node 1 to node 10 with capacity 1,\nan edge from node 1 to node 5 with capacity 4,\nan edge from node 2 to node 8 with capacity 18,\nan edge from node 2 to node 6 with capacity 1,\nan edge from node 2 to node 0 with capacity 11,\nan edge from node 2 to node 9 with capacity 1,\nan edge from node 3 to node 1 with capacity 13,\nan edge from node 3 to node 10 with capacity 19,\nan edge from node 4 to node 10 with capacity 19,\nan edge from node 4 to node 5 with capacity 20,\nan edge from node 5 to node 1 with capacity 10,\nan edge from node 5 to node 9 with capacity 8,\nan edge from node 6 to node 1 with capacity 4,\nan edge from node 6 to node 7 with capacity 9,\nan edge from node 6 to node 0 with capacity 17,\nan edge from node 6 to node 2 with capacity 16,\nan edge from node 6 to node 5 with capacity 5,\nan edge from node 7 to node 10 with capacity 9,\nan edge from node 7 to node 5 with capacity 16,\nan edge from node 8 to node 4 with capacity 8,\nan edge from node 8 to node 7 with capacity 7,\nan edge from node 8 to node 5 with capacity 12,\nan edge from node 8 to node 9 with capacity 16,\nan edge from node 9 to node 8 with capacity 12,\nan edge from node 9 to node 10 with capacity 1,\nan edge from node 10 to node 4 with capacity 15,\nWhat is the maximum flow from node 1 to node 4:"
            },
            {
                "from": "gpt",
                "value": "28."
            }
        ]
    },
    {
        "id": "flow-hard-graph1133",
        "image": "data/flow/graph_visual/hard/graph1133.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 1 with capacity 11,\nan edge from node 0 to node 12 with capacity 4,\nan edge from node 0 to node 10 with capacity 19,\nan edge from node 0 to node 17 with capacity 2,\nan edge from node 0 to node 16 with capacity 17,\nan edge from node 0 to node 14 with capacity 5,\nan edge from node 0 to node 3 with capacity 11,\nan edge from node 1 to node 6 with capacity 16,\nan edge from node 1 to node 11 with capacity 2,\nan edge from node 1 to node 2 with capacity 4,\nan edge from node 1 to node 13 with capacity 8,\nan edge from node 1 to node 14 with capacity 14,\nan edge from node 1 to node 5 with capacity 7,\nan edge from node 1 to node 3 with capacity 20,\nan edge from node 2 to node 1 with capacity 14,\nan edge from node 2 to node 13 with capacity 12,\nan edge from node 2 to node 19 with capacity 9,\nan edge from node 2 to node 10 with capacity 7,\nan edge from node 2 to node 16 with capacity 15,\nan edge from node 2 to node 14 with capacity 9,\nan edge from node 2 to node 15 with capacity 14,\nan edge from node 3 to node 12 with capacity 9,\nan edge from node 3 to node 4 with capacity 20,\nan edge from node 3 to node 17 with capacity 2,\nan edge from node 3 to node 15 with capacity 10,\nan edge from node 4 to node 7 with capacity 5,\nan edge from node 4 to node 18 with capacity 14,\nan edge from node 4 to node 12 with capacity 19,\nan edge from node 4 to node 9 with capacity 20,\nan edge from node 4 to node 3 with capacity 10,\nan edge from node 5 to node 6 with capacity 1,\nan edge from node 5 to node 7 with capacity 11,\nan edge from node 5 to node 12 with capacity 5,\nan edge from node 5 to node 2 with capacity 1,\nan edge from node 5 to node 13 with capacity 7,\nan edge from node 5 to node 4 with capacity 19,\nan edge from node 5 to node 0 with capacity 10,\nan edge from node 6 to node 13 with capacity 2,\nan edge from node 6 to node 4 with capacity 10,\nan edge from node 6 to node 10 with capacity 19,\nan edge from node 6 to node 16 with capacity 14,\nan edge from node 7 to node 18 with capacity 12,\nan edge from node 7 to node 11 with capacity 6,\nan edge from node 7 to node 2 with capacity 20,\nan edge from node 7 to node 13 with capacity 10,\nan edge from node 7 to node 14 with capacity 13,\nan edge from node 7 to node 0 with capacity 6,\nan edge from node 8 to node 7 with capacity 4,\nan edge from node 8 to node 11 with capacity 4,\nan edge from node 8 to node 2 with capacity 10,\nan edge from node 8 to node 19 with capacity 9,\nan edge from node 8 to node 4 with capacity 17,\nan edge from node 8 to node 16 with capacity 16,\nan edge from node 8 to node 0 with capacity 2,\nan edge from node 9 to node 11 with capacity 13,\nan edge from node 9 to node 1 with capacity 1,\nan edge from node 9 to node 8 with capacity 18,\nan edge from node 9 to node 2 with capacity 18,\nan edge from node 9 to node 16 with capacity 12,\nan edge from node 9 to node 14 with capacity 1,\nan edge from node 9 to node 15 with capacity 7,\nan edge from node 9 to node 5 with capacity 6,\nan edge from node 9 to node 3 with capacity 15,\nan edge from node 10 to node 6 with capacity 10,\nan edge from node 10 to node 18 with capacity 5,\nan edge from node 10 to node 15 with capacity 18,\nan edge from node 11 to node 6 with capacity 15,\nan edge from node 11 to node 1 with capacity 3,\nan edge from node 11 to node 19 with capacity 15,\nan edge from node 11 to node 17 with capacity 12,\nan edge from node 11 to node 15 with capacity 16,\nan edge from node 11 to node 5 with capacity 12,\nan edge from node 11 to node 3 with capacity 18,\nan edge from node 12 to node 6 with capacity 9,\nan edge from node 12 to node 9 with capacity 20,\nan edge from node 12 to node 10 with capacity 7,\nan edge from node 12 to node 17 with capacity 12,\nan edge from node 12 to node 15 with capacity 2,\nan edge from node 12 to node 5 with capacity 6,\nan edge from node 13 to node 11 with capacity 9,\nan edge from node 13 to node 12 with capacity 5,\nan edge from node 13 to node 5 with capacity 3,\nan edge from node 14 to node 6 with capacity 4,\nan edge from node 14 to node 7 with capacity 11,\nan edge from node 14 to node 11 with capacity 14,\nan edge from node 14 to node 8 with capacity 14,\nan edge from node 14 to node 12 with capacity 20,\nan edge from node 14 to node 2 with capacity 13,\nan edge from node 14 to node 19 with capacity 16,\nan edge from node 14 to node 15 with capacity 17,\nan edge from node 15 to node 7 with capacity 15,\nan edge from node 15 to node 2 with capacity 9,\nan edge from node 15 to node 13 with capacity 5,\nan edge from node 15 to node 16 with capacity 16,\nan edge from node 16 to node 18 with capacity 6,\nan edge from node 16 to node 12 with capacity 12,\nan edge from node 16 to node 9 with capacity 10,\nan edge from node 16 to node 10 with capacity 18,\nan edge from node 16 to node 17 with capacity 19,\nan edge from node 16 to node 3 with capacity 2,\nan edge from node 17 to node 6 with capacity 5,\nan edge from node 17 to node 1 with capacity 19,\nan edge from node 17 to node 10 with capacity 7,\nan edge from node 17 to node 16 with capacity 4,\nan edge from node 18 to node 6 with capacity 12,\nan edge from node 18 to node 7 with capacity 19,\nan edge from node 19 to node 8 with capacity 12,\nan edge from node 19 to node 4 with capacity 4,\nan edge from node 19 to node 9 with capacity 1,\nWhat is the maximum flow from node 15 to node 12:"
            },
            {
                "from": "gpt",
                "value": "45."
            }
        ]
    },
    {
        "id": "flow-hard-graph57",
        "image": "data/flow/graph_visual/hard/graph57.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 9 with capacity 10,\nan edge from node 0 to node 8 with capacity 6,\nan edge from node 0 to node 10 with capacity 3,\nan edge from node 1 to node 6 with capacity 6,\nan edge from node 1 to node 10 with capacity 19,\nan edge from node 2 to node 3 with capacity 20,\nan edge from node 2 to node 0 with capacity 13,\nan edge from node 2 to node 4 with capacity 4,\nan edge from node 3 to node 8 with capacity 11,\nan edge from node 3 to node 5 with capacity 1,\nan edge from node 4 to node 6 with capacity 8,\nan edge from node 4 to node 3 with capacity 2,\nan edge from node 4 to node 5 with capacity 9,\nan edge from node 5 to node 6 with capacity 10,\nan edge from node 5 to node 3 with capacity 18,\nan edge from node 5 to node 7 with capacity 2,\nan edge from node 6 to node 8 with capacity 9,\nan edge from node 6 to node 0 with capacity 12,\nan edge from node 6 to node 5 with capacity 1,\nan edge from node 7 to node 2 with capacity 20,\nan edge from node 7 to node 3 with capacity 14,\nan edge from node 7 to node 5 with capacity 10,\nan edge from node 7 to node 10 with capacity 8,\nan edge from node 8 to node 1 with capacity 2,\nan edge from node 8 to node 6 with capacity 7,\nan edge from node 8 to node 3 with capacity 2,\nan edge from node 8 to node 0 with capacity 3,\nan edge from node 8 to node 7 with capacity 6,\nan edge from node 9 to node 6 with capacity 17,\nan edge from node 9 to node 2 with capacity 20,\nan edge from node 10 to node 1 with capacity 8,\nan edge from node 10 to node 2 with capacity 19,\nan edge from node 10 to node 4 with capacity 18,\nWhat is the maximum flow from node 6 to node 8:"
            },
            {
                "from": "gpt",
                "value": "22."
            }
        ]
    },
    {
        "id": "flow-hard-graph1049",
        "image": "data/flow/graph_visual/hard/graph1049.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 9 with capacity 8,\nan edge from node 0 to node 2 with capacity 17,\nan edge from node 0 to node 5 with capacity 6,\nan edge from node 0 to node 8 with capacity 20,\nan edge from node 1 to node 2 with capacity 12,\nan edge from node 2 to node 10 with capacity 10,\nan edge from node 2 to node 13 with capacity 4,\nan edge from node 2 to node 3 with capacity 6,\nan edge from node 2 to node 11 with capacity 12,\nan edge from node 3 to node 12 with capacity 20,\nan edge from node 3 to node 13 with capacity 14,\nan edge from node 3 to node 14 with capacity 16,\nan edge from node 3 to node 4 with capacity 20,\nan edge from node 3 to node 11 with capacity 15,\nan edge from node 4 to node 11 with capacity 2,\nan edge from node 4 to node 17 with capacity 17,\nan edge from node 5 to node 7 with capacity 1,\nan edge from node 5 to node 10 with capacity 11,\nan edge from node 5 to node 13 with capacity 6,\nan edge from node 5 to node 18 with capacity 18,\nan edge from node 5 to node 15 with capacity 8,\nan edge from node 6 to node 9 with capacity 10,\nan edge from node 6 to node 10 with capacity 18,\nan edge from node 6 to node 13 with capacity 19,\nan edge from node 6 to node 18 with capacity 19,\nan edge from node 6 to node 16 with capacity 17,\nan edge from node 6 to node 0 with capacity 8,\nan edge from node 7 to node 18 with capacity 8,\nan edge from node 7 to node 6 with capacity 20,\nan edge from node 8 to node 12 with capacity 17,\nan edge from node 8 to node 4 with capacity 4,\nan edge from node 8 to node 16 with capacity 19,\nan edge from node 8 to node 6 with capacity 5,\nan edge from node 8 to node 0 with capacity 10,\nan edge from node 9 to node 5 with capacity 1,\nan edge from node 9 to node 13 with capacity 14,\nan edge from node 9 to node 1 with capacity 6,\nan edge from node 9 to node 3 with capacity 7,\nan edge from node 9 to node 16 with capacity 14,\nan edge from node 9 to node 6 with capacity 6,\nan edge from node 9 to node 8 with capacity 16,\nan edge from node 10 to node 7 with capacity 15,\nan edge from node 10 to node 2 with capacity 17,\nan edge from node 10 to node 4 with capacity 17,\nan edge from node 10 to node 15 with capacity 2,\nan edge from node 10 to node 11 with capacity 1,\nan edge from node 10 to node 6 with capacity 18,\nan edge from node 11 to node 12 with capacity 7,\nan edge from node 11 to node 9 with capacity 1,\nan edge from node 11 to node 13 with capacity 2,\nan edge from node 11 to node 1 with capacity 14,\nan edge from node 12 to node 7 with capacity 3,\nan edge from node 12 to node 9 with capacity 10,\nan edge from node 12 to node 2 with capacity 11,\nan edge from node 12 to node 10 with capacity 14,\nan edge from node 12 to node 13 with capacity 6,\nan edge from node 12 to node 11 with capacity 12,\nan edge from node 13 to node 2 with capacity 13,\nan edge from node 13 to node 5 with capacity 1,\nan edge from node 13 to node 1 with capacity 3,\nan edge from node 13 to node 15 with capacity 9,\nan edge from node 13 to node 0 with capacity 8,\nan edge from node 13 to node 8 with capacity 3,\nan edge from node 14 to node 5 with capacity 8,\nan edge from node 14 to node 13 with capacity 7,\nan edge from node 14 to node 4 with capacity 16,\nan edge from node 15 to node 7 with capacity 12,\nan edge from node 15 to node 3 with capacity 13,\nan edge from node 16 to node 10 with capacity 18,\nan edge from node 16 to node 4 with capacity 5,\nan edge from node 16 to node 15 with capacity 14,\nan edge from node 16 to node 17 with capacity 14,\nan edge from node 16 to node 8 with capacity 10,\nan edge from node 17 to node 9 with capacity 11,\nan edge from node 17 to node 10 with capacity 15,\nan edge from node 17 to node 18 with capacity 9,\nan edge from node 17 to node 11 with capacity 19,\nan edge from node 18 to node 12 with capacity 14,\nan edge from node 18 to node 13 with capacity 12,\nan edge from node 18 to node 11 with capacity 20,\nan edge from node 18 to node 17 with capacity 13,\nWhat is the maximum flow from node 7 to node 11:"
            },
            {
                "from": "gpt",
                "value": "28."
            }
        ]
    },
    {
        "id": "flow-hard-graph286",
        "image": "data/flow/graph_visual/hard/graph286.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 3 with capacity 15,\nan edge from node 0 to node 4 with capacity 9,\nan edge from node 0 to node 11 with capacity 14,\nan edge from node 0 to node 5 with capacity 19,\nan edge from node 0 to node 6 with capacity 4,\nan edge from node 0 to node 12 with capacity 16,\nan edge from node 1 to node 12 with capacity 15,\nan edge from node 2 to node 5 with capacity 4,\nan edge from node 3 to node 2 with capacity 20,\nan edge from node 3 to node 9 with capacity 5,\nan edge from node 3 to node 10 with capacity 1,\nan edge from node 3 to node 4 with capacity 14,\nan edge from node 4 to node 2 with capacity 7,\nan edge from node 4 to node 5 with capacity 9,\nan edge from node 4 to node 6 with capacity 8,\nan edge from node 5 to node 9 with capacity 15,\nan edge from node 5 to node 10 with capacity 12,\nan edge from node 5 to node 8 with capacity 6,\nan edge from node 6 to node 4 with capacity 1,\nan edge from node 6 to node 8 with capacity 12,\nan edge from node 7 to node 0 with capacity 18,\nan edge from node 7 to node 4 with capacity 4,\nan edge from node 7 to node 11 with capacity 20,\nan edge from node 8 to node 2 with capacity 1,\nan edge from node 8 to node 5 with capacity 7,\nan edge from node 8 to node 12 with capacity 9,\nan edge from node 9 to node 0 with capacity 4,\nan edge from node 9 to node 11 with capacity 10,\nan edge from node 9 to node 7 with capacity 5,\nan edge from node 10 to node 3 with capacity 9,\nan edge from node 10 to node 9 with capacity 5,\nan edge from node 10 to node 7 with capacity 16,\nan edge from node 10 to node 12 with capacity 19,\nan edge from node 11 to node 1 with capacity 1,\nan edge from node 11 to node 12 with capacity 4,\nan edge from node 12 to node 3 with capacity 14,\nan edge from node 12 to node 10 with capacity 14,\nan edge from node 12 to node 4 with capacity 1,\nWhat is the maximum flow from node 12 to node 7:"
            },
            {
                "from": "gpt",
                "value": "21."
            }
        ]
    },
    {
        "id": "flow-hard-graph407",
        "image": "data/flow/graph_visual/hard/graph407.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 1 with capacity 15,\nan edge from node 0 to node 11 with capacity 7,\nan edge from node 0 to node 6 with capacity 2,\nan edge from node 0 to node 5 with capacity 7,\nan edge from node 1 to node 6 with capacity 6,\nan edge from node 2 to node 8 with capacity 5,\nan edge from node 2 to node 11 with capacity 2,\nan edge from node 2 to node 4 with capacity 12,\nan edge from node 2 to node 5 with capacity 11,\nan edge from node 3 to node 10 with capacity 13,\nan edge from node 4 to node 0 with capacity 8,\nan edge from node 4 to node 2 with capacity 17,\nan edge from node 4 to node 12 with capacity 8,\nan edge from node 4 to node 13 with capacity 17,\nan edge from node 4 to node 9 with capacity 10,\nan edge from node 5 to node 8 with capacity 16,\nan edge from node 5 to node 10 with capacity 2,\nan edge from node 5 to node 3 with capacity 19,\nan edge from node 5 to node 4 with capacity 18,\nan edge from node 6 to node 1 with capacity 15,\nan edge from node 6 to node 13 with capacity 6,\nan edge from node 6 to node 9 with capacity 10,\nan edge from node 6 to node 3 with capacity 12,\nan edge from node 7 to node 8 with capacity 13,\nan edge from node 7 to node 9 with capacity 17,\nan edge from node 8 to node 1 with capacity 10,\nan edge from node 8 to node 12 with capacity 7,\nan edge from node 8 to node 3 with capacity 4,\nan edge from node 8 to node 5 with capacity 17,\nan edge from node 9 to node 10 with capacity 18,\nan edge from node 9 to node 6 with capacity 12,\nan edge from node 9 to node 3 with capacity 2,\nan edge from node 10 to node 0 with capacity 16,\nan edge from node 10 to node 7 with capacity 15,\nan edge from node 10 to node 12 with capacity 11,\nan edge from node 10 to node 9 with capacity 10,\nan edge from node 11 to node 8 with capacity 3,\nan edge from node 11 to node 12 with capacity 11,\nan edge from node 11 to node 13 with capacity 12,\nan edge from node 11 to node 4 with capacity 16,\nan edge from node 12 to node 0 with capacity 3,\nan edge from node 12 to node 2 with capacity 9,\nan edge from node 12 to node 6 with capacity 13,\nan edge from node 12 to node 3 with capacity 18,\nan edge from node 12 to node 4 with capacity 11,\nan edge from node 13 to node 0 with capacity 15,\nan edge from node 13 to node 11 with capacity 18,\nan edge from node 13 to node 5 with capacity 20,\nWhat is the maximum flow from node 2 to node 10:"
            },
            {
                "from": "gpt",
                "value": "30."
            }
        ]
    },
    {
        "id": "flow-hard-graph671",
        "image": "data/flow/graph_visual/hard/graph671.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 6 with capacity 10,\nan edge from node 0 to node 9 with capacity 19,\nan edge from node 0 to node 4 with capacity 2,\nan edge from node 1 to node 15 with capacity 2,\nan edge from node 2 to node 7 with capacity 5,\nan edge from node 2 to node 0 with capacity 1,\nan edge from node 2 to node 4 with capacity 19,\nan edge from node 2 to node 15 with capacity 17,\nan edge from node 2 to node 12 with capacity 4,\nan edge from node 3 to node 2 with capacity 18,\nan edge from node 4 to node 9 with capacity 11,\nan edge from node 4 to node 14 with capacity 2,\nan edge from node 5 to node 11 with capacity 8,\nan edge from node 5 to node 9 with capacity 3,\nan edge from node 5 to node 10 with capacity 11,\nan edge from node 5 to node 0 with capacity 2,\nan edge from node 5 to node 14 with capacity 11,\nan edge from node 5 to node 1 with capacity 18,\nan edge from node 6 to node 7 with capacity 17,\nan edge from node 6 to node 10 with capacity 12,\nan edge from node 6 to node 12 with capacity 10,\nan edge from node 6 to node 8 with capacity 17,\nan edge from node 7 to node 15 with capacity 14,\nan edge from node 7 to node 13 with capacity 11,\nan edge from node 8 to node 2 with capacity 19,\nan edge from node 8 to node 9 with capacity 5,\nan edge from node 8 to node 15 with capacity 11,\nan edge from node 9 to node 15 with capacity 5,\nan edge from node 9 to node 13 with capacity 1,\nan edge from node 10 to node 2 with capacity 10,\nan edge from node 10 to node 6 with capacity 9,\nan edge from node 10 to node 14 with capacity 5,\nan edge from node 10 to node 4 with capacity 2,\nan edge from node 10 to node 15 with capacity 2,\nan edge from node 10 to node 3 with capacity 5,\nan edge from node 11 to node 14 with capacity 4,\nan edge from node 11 to node 4 with capacity 8,\nan edge from node 11 to node 12 with capacity 18,\nan edge from node 11 to node 1 with capacity 2,\nan edge from node 12 to node 2 with capacity 12,\nan edge from node 12 to node 10 with capacity 6,\nan edge from node 12 to node 14 with capacity 3,\nan edge from node 12 to node 5 with capacity 1,\nan edge from node 12 to node 3 with capacity 4,\nan edge from node 13 to node 2 with capacity 10,\nan edge from node 13 to node 6 with capacity 16,\nan edge from node 13 to node 5 with capacity 6,\nan edge from node 14 to node 5 with capacity 10,\nan edge from node 15 to node 11 with capacity 1,\nan edge from node 15 to node 2 with capacity 14,\nan edge from node 15 to node 5 with capacity 17,\nWhat is the maximum flow from node 15 to node 4:"
            },
            {
                "from": "gpt",
                "value": "31."
            }
        ]
    },
    {
        "id": "flow-hard-graph361",
        "image": "data/flow/graph_visual/hard/graph361.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 1 with capacity 5,\nan edge from node 0 to node 9 with capacity 1,\nan edge from node 1 to node 12 with capacity 7,\nan edge from node 1 to node 6 with capacity 9,\nan edge from node 1 to node 3 with capacity 8,\nan edge from node 1 to node 10 with capacity 17,\nan edge from node 1 to node 5 with capacity 3,\nan edge from node 1 to node 9 with capacity 11,\nan edge from node 2 to node 12 with capacity 19,\nan edge from node 2 to node 5 with capacity 9,\nan edge from node 2 to node 0 with capacity 13,\nan edge from node 2 to node 7 with capacity 6,\nan edge from node 2 to node 13 with capacity 11,\nan edge from node 2 to node 11 with capacity 2,\nan edge from node 3 to node 10 with capacity 5,\nan edge from node 3 to node 4 with capacity 18,\nan edge from node 3 to node 7 with capacity 19,\nan edge from node 4 to node 10 with capacity 8,\nan edge from node 4 to node 5 with capacity 7,\nan edge from node 4 to node 8 with capacity 14,\nan edge from node 4 to node 0 with capacity 18,\nan edge from node 5 to node 4 with capacity 16,\nan edge from node 6 to node 12 with capacity 20,\nan edge from node 6 to node 3 with capacity 15,\nan edge from node 6 to node 10 with capacity 8,\nan edge from node 6 to node 8 with capacity 16,\nan edge from node 6 to node 2 with capacity 4,\nan edge from node 6 to node 0 with capacity 7,\nan edge from node 6 to node 4 with capacity 2,\nan edge from node 6 to node 11 with capacity 1,\nan edge from node 7 to node 6 with capacity 2,\nan edge from node 7 to node 3 with capacity 5,\nan edge from node 7 to node 13 with capacity 15,\nan edge from node 8 to node 12 with capacity 2,\nan edge from node 8 to node 6 with capacity 13,\nan edge from node 8 to node 1 with capacity 8,\nan edge from node 8 to node 3 with capacity 16,\nan edge from node 8 to node 9 with capacity 20,\nan edge from node 9 to node 3 with capacity 15,\nan edge from node 9 to node 10 with capacity 9,\nan edge from node 9 to node 5 with capacity 2,\nan edge from node 9 to node 2 with capacity 9,\nan edge from node 10 to node 12 with capacity 17,\nan edge from node 10 to node 1 with capacity 17,\nan edge from node 10 to node 5 with capacity 1,\nan edge from node 10 to node 7 with capacity 18,\nan edge from node 11 to node 8 with capacity 18,\nan edge from node 11 to node 7 with capacity 10,\nan edge from node 12 to node 8 with capacity 4,\nan edge from node 12 to node 2 with capacity 15,\nan edge from node 12 to node 7 with capacity 15,\nan edge from node 13 to node 8 with capacity 16,\nan edge from node 13 to node 7 with capacity 12,\nan edge from node 13 to node 11 with capacity 18,\nWhat is the maximum flow from node 5 to node 9:"
            },
            {
                "from": "gpt",
                "value": "16."
            }
        ]
    },
    {
        "id": "flow-hard-graph1186",
        "image": "data/flow/graph_visual/hard/graph1186.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 9 with capacity 5,\nan edge from node 0 to node 15 with capacity 16,\nan edge from node 0 to node 19 with capacity 1,\nan edge from node 0 to node 1 with capacity 2,\nan edge from node 0 to node 16 with capacity 14,\nan edge from node 0 to node 12 with capacity 10,\nan edge from node 0 to node 2 with capacity 3,\nan edge from node 0 to node 6 with capacity 9,\nan edge from node 0 to node 11 with capacity 19,\nan edge from node 0 to node 13 with capacity 10,\nan edge from node 0 to node 14 with capacity 20,\nan edge from node 1 to node 3 with capacity 4,\nan edge from node 1 to node 7 with capacity 4,\nan edge from node 1 to node 8 with capacity 12,\nan edge from node 1 to node 12 with capacity 2,\nan edge from node 1 to node 5 with capacity 12,\nan edge from node 1 to node 11 with capacity 12,\nan edge from node 1 to node 13 with capacity 14,\nan edge from node 2 to node 1 with capacity 20,\nan edge from node 2 to node 16 with capacity 19,\nan edge from node 2 to node 12 with capacity 20,\nan edge from node 3 to node 7 with capacity 18,\nan edge from node 3 to node 17 with capacity 16,\nan edge from node 3 to node 4 with capacity 17,\nan edge from node 3 to node 8 with capacity 20,\nan edge from node 4 to node 7 with capacity 8,\nan edge from node 4 to node 1 with capacity 7,\nan edge from node 4 to node 12 with capacity 1,\nan edge from node 4 to node 2 with capacity 13,\nan edge from node 4 to node 6 with capacity 5,\nan edge from node 5 to node 8 with capacity 3,\nan edge from node 5 to node 12 with capacity 6,\nan edge from node 5 to node 11 with capacity 12,\nan edge from node 5 to node 14 with capacity 8,\nan edge from node 6 to node 19 with capacity 13,\nan edge from node 6 to node 16 with capacity 1,\nan edge from node 6 to node 10 with capacity 10,\nan edge from node 6 to node 5 with capacity 7,\nan edge from node 7 to node 0 with capacity 6,\nan edge from node 7 to node 18 with capacity 15,\nan edge from node 7 to node 4 with capacity 10,\nan edge from node 7 to node 10 with capacity 20,\nan edge from node 7 to node 2 with capacity 1,\nan edge from node 8 to node 0 with capacity 1,\nan edge from node 8 to node 9 with capacity 8,\nan edge from node 8 to node 7 with capacity 18,\nan edge from node 8 to node 15 with capacity 7,\nan edge from node 8 to node 19 with capacity 13,\nan edge from node 8 to node 12 with capacity 9,\nan edge from node 8 to node 13 with capacity 17,\nan edge from node 9 to node 7 with capacity 5,\nan edge from node 9 to node 18 with capacity 18,\nan edge from node 9 to node 1 with capacity 3,\nan edge from node 9 to node 4 with capacity 13,\nan edge from node 10 to node 7 with capacity 18,\nan edge from node 10 to node 4 with capacity 19,\nan edge from node 10 to node 16 with capacity 15,\nan edge from node 10 to node 8 with capacity 20,\nan edge from node 10 to node 2 with capacity 7,\nan edge from node 11 to node 3 with capacity 5,\nan edge from node 11 to node 19 with capacity 1,\nan edge from node 12 to node 0 with capacity 5,\nan edge from node 12 to node 7 with capacity 7,\nan edge from node 12 to node 1 with capacity 8,\nan edge from node 12 to node 8 with capacity 13,\nan edge from node 12 to node 10 with capacity 14,\nan edge from node 12 to node 2 with capacity 5,\nan edge from node 13 to node 3 with capacity 9,\nan edge from node 13 to node 9 with capacity 17,\nan edge from node 13 to node 1 with capacity 18,\nan edge from node 13 to node 4 with capacity 19,\nan edge from node 13 to node 16 with capacity 20,\nan edge from node 13 to node 5 with capacity 10,\nan edge from node 14 to node 4 with capacity 12,\nan edge from node 15 to node 3 with capacity 10,\nan edge from node 15 to node 18 with capacity 3,\nan edge from node 15 to node 12 with capacity 18,\nan edge from node 15 to node 10 with capacity 11,\nan edge from node 15 to node 13 with capacity 12,\nan edge from node 16 to node 0 with capacity 5,\nan edge from node 16 to node 7 with capacity 15,\nan edge from node 16 to node 18 with capacity 17,\nan edge from node 16 to node 19 with capacity 19,\nan edge from node 16 to node 8 with capacity 15,\nan edge from node 16 to node 5 with capacity 5,\nan edge from node 16 to node 6 with capacity 9,\nan edge from node 17 to node 3 with capacity 11,\nan edge from node 17 to node 0 with capacity 18,\nan edge from node 17 to node 18 with capacity 6,\nan edge from node 17 to node 2 with capacity 11,\nan edge from node 17 to node 6 with capacity 19,\nan edge from node 17 to node 11 with capacity 2,\nan edge from node 18 to node 15 with capacity 10,\nan edge from node 18 to node 19 with capacity 7,\nan edge from node 18 to node 16 with capacity 17,\nan edge from node 18 to node 8 with capacity 6,\nan edge from node 18 to node 5 with capacity 1,\nan edge from node 19 to node 9 with capacity 10,\nan edge from node 19 to node 15 with capacity 18,\nan edge from node 19 to node 17 with capacity 19,\nan edge from node 19 to node 2 with capacity 4,\nan edge from node 19 to node 6 with capacity 8,\nWhat is the maximum flow from node 8 to node 18:"
            },
            {
                "from": "gpt",
                "value": "59."
            }
        ]
    },
    {
        "id": "flow-hard-graph176",
        "image": "data/flow/graph_visual/hard/graph176.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 1 with capacity 15,\nan edge from node 0 to node 9 with capacity 3,\nan edge from node 0 to node 10 with capacity 8,\nan edge from node 0 to node 2 with capacity 4,\nan edge from node 1 to node 9 with capacity 9,\nan edge from node 1 to node 6 with capacity 9,\nan edge from node 1 to node 3 with capacity 1,\nan edge from node 1 to node 7 with capacity 17,\nan edge from node 2 to node 10 with capacity 15,\nan edge from node 2 to node 6 with capacity 20,\nan edge from node 2 to node 3 with capacity 15,\nan edge from node 3 to node 8 with capacity 2,\nan edge from node 4 to node 5 with capacity 12,\nan edge from node 4 to node 8 with capacity 19,\nan edge from node 4 to node 2 with capacity 11,\nan edge from node 4 to node 7 with capacity 5,\nan edge from node 5 to node 6 with capacity 3,\nan edge from node 5 to node 11 with capacity 6,\nan edge from node 7 to node 2 with capacity 17,\nan edge from node 8 to node 1 with capacity 1,\nan edge from node 8 to node 9 with capacity 5,\nan edge from node 8 to node 10 with capacity 1,\nan edge from node 8 to node 6 with capacity 5,\nan edge from node 8 to node 2 with capacity 18,\nan edge from node 8 to node 11 with capacity 11,\nan edge from node 9 to node 6 with capacity 6,\nan edge from node 10 to node 4 with capacity 7,\nan edge from node 10 to node 6 with capacity 6,\nan edge from node 10 to node 8 with capacity 3,\nan edge from node 10 to node 2 with capacity 20,\nan edge from node 10 to node 11 with capacity 15,\nan edge from node 10 to node 3 with capacity 8,\nan edge from node 11 to node 4 with capacity 6,\nan edge from node 11 to node 8 with capacity 4,\nWhat is the maximum flow from node 8 to node 6:"
            },
            {
                "from": "gpt",
                "value": "36."
            }
        ]
    },
    {
        "id": "flow-hard-graph874",
        "image": "data/flow/graph_visual/hard/graph874.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 9 with capacity 9,\nan edge from node 0 to node 4 with capacity 15,\nan edge from node 0 to node 16 with capacity 3,\nan edge from node 0 to node 5 with capacity 2,\nan edge from node 0 to node 14 with capacity 5,\nan edge from node 0 to node 7 with capacity 17,\nan edge from node 0 to node 6 with capacity 20,\nan edge from node 1 to node 5 with capacity 1,\nan edge from node 1 to node 14 with capacity 12,\nan edge from node 1 to node 17 with capacity 14,\nan edge from node 1 to node 8 with capacity 20,\nan edge from node 2 to node 16 with capacity 4,\nan edge from node 2 to node 15 with capacity 20,\nan edge from node 2 to node 14 with capacity 4,\nan edge from node 2 to node 12 with capacity 11,\nan edge from node 2 to node 1 with capacity 13,\nan edge from node 2 to node 6 with capacity 11,\nan edge from node 3 to node 11 with capacity 11,\nan edge from node 3 to node 7 with capacity 8,\nan edge from node 3 to node 17 with capacity 7,\nan edge from node 4 to node 3 with capacity 8,\nan edge from node 4 to node 16 with capacity 11,\nan edge from node 4 to node 5 with capacity 1,\nan edge from node 4 to node 14 with capacity 1,\nan edge from node 4 to node 6 with capacity 13,\nan edge from node 5 to node 11 with capacity 3,\nan edge from node 5 to node 10 with capacity 12,\nan edge from node 5 to node 15 with capacity 7,\nan edge from node 5 to node 7 with capacity 8,\nan edge from node 6 to node 11 with capacity 6,\nan edge from node 6 to node 12 with capacity 14,\nan edge from node 6 to node 13 with capacity 6,\nan edge from node 6 to node 1 with capacity 16,\nan edge from node 7 to node 2 with capacity 10,\nan edge from node 7 to node 14 with capacity 6,\nan edge from node 7 to node 13 with capacity 19,\nan edge from node 8 to node 3 with capacity 3,\nan edge from node 8 to node 16 with capacity 7,\nan edge from node 8 to node 5 with capacity 9,\nan edge from node 8 to node 7 with capacity 15,\nan edge from node 8 to node 17 with capacity 17,\nan edge from node 9 to node 10 with capacity 7,\nan edge from node 9 to node 14 with capacity 3,\nan edge from node 9 to node 12 with capacity 15,\nan edge from node 9 to node 7 with capacity 10,\nan edge from node 9 to node 6 with capacity 8,\nan edge from node 10 to node 2 with capacity 12,\nan edge from node 10 to node 3 with capacity 19,\nan edge from node 10 to node 16 with capacity 3,\nan edge from node 11 to node 9 with capacity 12,\nan edge from node 11 to node 4 with capacity 5,\nan edge from node 11 to node 12 with capacity 4,\nan edge from node 11 to node 7 with capacity 20,\nan edge from node 11 to node 17 with capacity 20,\nan edge from node 11 to node 6 with capacity 7,\nan edge from node 12 to node 3 with capacity 20,\nan edge from node 12 to node 15 with capacity 13,\nan edge from node 12 to node 13 with capacity 7,\nan edge from node 12 to node 6 with capacity 4,\nan edge from node 13 to node 11 with capacity 8,\nan edge from node 13 to node 15 with capacity 20,\nan edge from node 13 to node 1 with capacity 3,\nan edge from node 14 to node 3 with capacity 2,\nan edge from node 14 to node 9 with capacity 17,\nan edge from node 14 to node 0 with capacity 16,\nan edge from node 14 to node 13 with capacity 4,\nan edge from node 16 to node 0 with capacity 16,\nan edge from node 16 to node 1 with capacity 13,\nan edge from node 17 to node 9 with capacity 7,\nan edge from node 17 to node 11 with capacity 17,\nan edge from node 17 to node 15 with capacity 17,\nan edge from node 17 to node 0 with capacity 5,\nan edge from node 17 to node 6 with capacity 8,\nWhat is the maximum flow from node 2 to node 12:"
            },
            {
                "from": "gpt",
                "value": "43."
            }
        ]
    },
    {
        "id": "flow-hard-graph422",
        "image": "data/flow/graph_visual/hard/graph422.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 8 with capacity 3,\nan edge from node 0 to node 1 with capacity 20,\nan edge from node 0 to node 10 with capacity 10,\nan edge from node 1 to node 3 with capacity 5,\nan edge from node 1 to node 12 with capacity 2,\nan edge from node 1 to node 13 with capacity 4,\nan edge from node 1 to node 5 with capacity 3,\nan edge from node 1 to node 0 with capacity 7,\nan edge from node 1 to node 6 with capacity 12,\nan edge from node 2 to node 7 with capacity 7,\nan edge from node 2 to node 8 with capacity 5,\nan edge from node 3 to node 12 with capacity 11,\nan edge from node 3 to node 1 with capacity 3,\nan edge from node 3 to node 2 with capacity 12,\nan edge from node 3 to node 10 with capacity 13,\nan edge from node 3 to node 11 with capacity 9,\nan edge from node 3 to node 0 with capacity 14,\nan edge from node 4 to node 7 with capacity 8,\nan edge from node 4 to node 9 with capacity 17,\nan edge from node 4 to node 13 with capacity 10,\nan edge from node 4 to node 10 with capacity 7,\nan edge from node 4 to node 0 with capacity 10,\nan edge from node 5 to node 12 with capacity 6,\nan edge from node 5 to node 10 with capacity 13,\nan edge from node 6 to node 2 with capacity 11,\nan edge from node 6 to node 10 with capacity 11,\nan edge from node 6 to node 0 with capacity 7,\nan edge from node 7 to node 1 with capacity 15,\nan edge from node 7 to node 2 with capacity 14,\nan edge from node 7 to node 11 with capacity 20,\nan edge from node 8 to node 13 with capacity 11,\nan edge from node 8 to node 0 with capacity 10,\nan edge from node 8 to node 6 with capacity 3,\nan edge from node 9 to node 12 with capacity 4,\nan edge from node 9 to node 2 with capacity 3,\nan edge from node 9 to node 6 with capacity 1,\nan edge from node 10 to node 1 with capacity 18,\nan edge from node 10 to node 6 with capacity 8,\nan edge from node 11 to node 3 with capacity 18,\nan edge from node 11 to node 10 with capacity 11,\nan edge from node 11 to node 6 with capacity 10,\nan edge from node 12 to node 4 with capacity 20,\nan edge from node 12 to node 5 with capacity 19,\nan edge from node 12 to node 11 with capacity 5,\nan edge from node 13 to node 3 with capacity 4,\nan edge from node 13 to node 12 with capacity 13,\nan edge from node 13 to node 9 with capacity 11,\nan edge from node 13 to node 4 with capacity 11,\nan edge from node 13 to node 10 with capacity 11,\nWhat is the maximum flow from node 12 to node 3:"
            },
            {
                "from": "gpt",
                "value": "27."
            }
        ]
    },
    {
        "id": "flow-hard-graph125",
        "image": "data/flow/graph_visual/hard/graph125.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 1 with capacity 10,\nan edge from node 1 to node 9 with capacity 16,\nan edge from node 1 to node 8 with capacity 17,\nan edge from node 2 to node 8 with capacity 10,\nan edge from node 2 to node 4 with capacity 6,\nan edge from node 3 to node 7 with capacity 9,\nan edge from node 3 to node 8 with capacity 3,\nan edge from node 3 to node 10 with capacity 6,\nan edge from node 4 to node 0 with capacity 17,\nan edge from node 4 to node 10 with capacity 3,\nan edge from node 5 to node 8 with capacity 14,\nan edge from node 5 to node 11 with capacity 18,\nan edge from node 6 to node 2 with capacity 17,\nan edge from node 6 to node 8 with capacity 7,\nan edge from node 7 to node 1 with capacity 18,\nan edge from node 8 to node 6 with capacity 17,\nan edge from node 8 to node 1 with capacity 4,\nan edge from node 8 to node 0 with capacity 5,\nan edge from node 9 to node 5 with capacity 11,\nan edge from node 9 to node 8 with capacity 9,\nan edge from node 9 to node 0 with capacity 9,\nan edge from node 9 to node 3 with capacity 17,\nan edge from node 10 to node 1 with capacity 17,\nan edge from node 11 to node 6 with capacity 17,\nan edge from node 11 to node 1 with capacity 13,\nan edge from node 11 to node 2 with capacity 8,\nan edge from node 11 to node 4 with capacity 11,\nWhat is the maximum flow from node 7 to node 2:"
            },
            {
                "from": "gpt",
                "value": "18."
            }
        ]
    },
    {
        "id": "flow-hard-graph943",
        "image": "data/flow/graph_visual/hard/graph943.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 5 with capacity 7,\nan edge from node 0 to node 15 with capacity 6,\nan edge from node 1 to node 11 with capacity 13,\nan edge from node 1 to node 2 with capacity 4,\nan edge from node 1 to node 5 with capacity 9,\nan edge from node 1 to node 0 with capacity 20,\nan edge from node 1 to node 17 with capacity 13,\nan edge from node 2 to node 12 with capacity 7,\nan edge from node 2 to node 13 with capacity 7,\nan edge from node 2 to node 3 with capacity 13,\nan edge from node 3 to node 14 with capacity 2,\nan edge from node 3 to node 12 with capacity 15,\nan edge from node 3 to node 17 with capacity 5,\nan edge from node 3 to node 6 with capacity 14,\nan edge from node 4 to node 1 with capacity 11,\nan edge from node 4 to node 5 with capacity 2,\nan edge from node 5 to node 2 with capacity 3,\nan edge from node 5 to node 13 with capacity 4,\nan edge from node 5 to node 9 with capacity 14,\nan edge from node 6 to node 4 with capacity 16,\nan edge from node 6 to node 11 with capacity 11,\nan edge from node 6 to node 12 with capacity 19,\nan edge from node 6 to node 16 with capacity 10,\nan edge from node 6 to node 15 with capacity 4,\nan edge from node 6 to node 7 with capacity 19,\nan edge from node 6 to node 3 with capacity 7,\nan edge from node 7 to node 10 with capacity 12,\nan edge from node 7 to node 2 with capacity 13,\nan edge from node 7 to node 5 with capacity 14,\nan edge from node 7 to node 15 with capacity 11,\nan edge from node 8 to node 12 with capacity 14,\nan edge from node 8 to node 2 with capacity 13,\nan edge from node 8 to node 15 with capacity 12,\nan edge from node 8 to node 3 with capacity 16,\nan edge from node 10 to node 11 with capacity 14,\nan edge from node 10 to node 1 with capacity 19,\nan edge from node 10 to node 5 with capacity 17,\nan edge from node 10 to node 0 with capacity 18,\nan edge from node 11 to node 4 with capacity 14,\nan edge from node 11 to node 5 with capacity 2,\nan edge from node 11 to node 13 with capacity 12,\nan edge from node 11 to node 15 with capacity 3,\nan edge from node 11 to node 7 with capacity 9,\nan edge from node 11 to node 9 with capacity 13,\nan edge from node 12 to node 4 with capacity 16,\nan edge from node 12 to node 11 with capacity 15,\nan edge from node 12 to node 8 with capacity 16,\nan edge from node 12 to node 13 with capacity 15,\nan edge from node 12 to node 16 with capacity 17,\nan edge from node 13 to node 11 with capacity 20,\nan edge from node 13 to node 12 with capacity 10,\nan edge from node 13 to node 8 with capacity 6,\nan edge from node 13 to node 1 with capacity 8,\nan edge from node 13 to node 7 with capacity 3,\nan edge from node 13 to node 6 with capacity 19,\nan edge from node 13 to node 3 with capacity 1,\nan edge from node 14 to node 11 with capacity 10,\nan edge from node 14 to node 12 with capacity 13,\nan edge from node 14 to node 5 with capacity 2,\nan edge from node 14 to node 0 with capacity 18,\nan edge from node 14 to node 17 with capacity 20,\nan edge from node 14 to node 3 with capacity 5,\nan edge from node 15 to node 11 with capacity 18,\nan edge from node 15 to node 14 with capacity 12,\nan edge from node 15 to node 7 with capacity 4,\nan edge from node 16 to node 17 with capacity 3,\nan edge from node 16 to node 3 with capacity 15,\nan edge from node 17 to node 11 with capacity 4,\nan edge from node 17 to node 6 with capacity 20,\nan edge from node 17 to node 9 with capacity 14,\nWhat is the maximum flow from node 9 to node 6:"
            },
            {
                "from": "gpt",
                "value": "0."
            }
        ]
    },
    {
        "id": "flow-hard-graph379",
        "image": "data/flow/graph_visual/hard/graph379.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 12 with capacity 6,\nan edge from node 0 to node 7 with capacity 3,\nan edge from node 0 to node 13 with capacity 4,\nan edge from node 1 to node 11 with capacity 14,\nan edge from node 1 to node 3 with capacity 20,\nan edge from node 1 to node 7 with capacity 11,\nan edge from node 1 to node 5 with capacity 11,\nan edge from node 2 to node 11 with capacity 13,\nan edge from node 2 to node 13 with capacity 12,\nan edge from node 2 to node 9 with capacity 4,\nan edge from node 2 to node 10 with capacity 11,\nan edge from node 3 to node 11 with capacity 15,\nan edge from node 3 to node 13 with capacity 1,\nan edge from node 4 to node 6 with capacity 12,\nan edge from node 5 to node 12 with capacity 5,\nan edge from node 5 to node 0 with capacity 20,\nan edge from node 5 to node 1 with capacity 4,\nan edge from node 5 to node 3 with capacity 15,\nan edge from node 5 to node 2 with capacity 16,\nan edge from node 5 to node 13 with capacity 13,\nan edge from node 6 to node 11 with capacity 7,\nan edge from node 6 to node 13 with capacity 8,\nan edge from node 6 to node 5 with capacity 4,\nan edge from node 7 to node 13 with capacity 14,\nan edge from node 7 to node 5 with capacity 3,\nan edge from node 7 to node 10 with capacity 5,\nan edge from node 8 to node 12 with capacity 1,\nan edge from node 8 to node 3 with capacity 1,\nan edge from node 8 to node 2 with capacity 12,\nan edge from node 9 to node 0 with capacity 14,\nan edge from node 9 to node 3 with capacity 5,\nan edge from node 9 to node 2 with capacity 13,\nan edge from node 9 to node 13 with capacity 20,\nan edge from node 9 to node 10 with capacity 12,\nan edge from node 10 to node 8 with capacity 1,\nan edge from node 10 to node 12 with capacity 20,\nan edge from node 10 to node 1 with capacity 8,\nan edge from node 10 to node 2 with capacity 14,\nan edge from node 10 to node 7 with capacity 13,\nan edge from node 11 to node 12 with capacity 4,\nan edge from node 11 to node 2 with capacity 12,\nan edge from node 11 to node 5 with capacity 20,\nan edge from node 11 to node 9 with capacity 20,\nan edge from node 12 to node 4 with capacity 8,\nan edge from node 12 to node 11 with capacity 12,\nan edge from node 12 to node 1 with capacity 18,\nan edge from node 12 to node 2 with capacity 13,\nan edge from node 12 to node 5 with capacity 1,\nan edge from node 12 to node 10 with capacity 6,\nan edge from node 13 to node 8 with capacity 16,\nan edge from node 13 to node 11 with capacity 3,\nan edge from node 13 to node 10 with capacity 19,\nWhat is the maximum flow from node 0 to node 3:"
            },
            {
                "from": "gpt",
                "value": "13."
            }
        ]
    },
    {
        "id": "flow-hard-graph916",
        "image": "data/flow/graph_visual/hard/graph916.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 15 with capacity 7,\nan edge from node 0 to node 1 with capacity 20,\nan edge from node 0 to node 4 with capacity 20,\nan edge from node 0 to node 8 with capacity 10,\nan edge from node 0 to node 5 with capacity 11,\nan edge from node 0 to node 12 with capacity 14,\nan edge from node 0 to node 13 with capacity 14,\nan edge from node 0 to node 17 with capacity 11,\nan edge from node 0 to node 16 with capacity 5,\nan edge from node 1 to node 10 with capacity 5,\nan edge from node 1 to node 12 with capacity 11,\nan edge from node 1 to node 17 with capacity 20,\nan edge from node 1 to node 9 with capacity 17,\nan edge from node 2 to node 15 with capacity 10,\nan edge from node 2 to node 9 with capacity 3,\nan edge from node 3 to node 15 with capacity 3,\nan edge from node 3 to node 8 with capacity 16,\nan edge from node 3 to node 5 with capacity 11,\nan edge from node 3 to node 11 with capacity 15,\nan edge from node 4 to node 1 with capacity 18,\nan edge from node 4 to node 3 with capacity 15,\nan edge from node 4 to node 10 with capacity 18,\nan edge from node 4 to node 8 with capacity 2,\nan edge from node 4 to node 2 with capacity 3,\nan edge from node 4 to node 12 with capacity 15,\nan edge from node 4 to node 9 with capacity 2,\nan edge from node 4 to node 16 with capacity 5,\nan edge from node 5 to node 3 with capacity 15,\nan edge from node 5 to node 11 with capacity 20,\nan edge from node 6 to node 15 with capacity 10,\nan edge from node 6 to node 1 with capacity 11,\nan edge from node 6 to node 10 with capacity 15,\nan edge from node 6 to node 2 with capacity 3,\nan edge from node 6 to node 16 with capacity 9,\nan edge from node 7 to node 15 with capacity 13,\nan edge from node 7 to node 3 with capacity 9,\nan edge from node 7 to node 14 with capacity 6,\nan edge from node 7 to node 13 with capacity 8,\nan edge from node 8 to node 10 with capacity 20,\nan edge from node 8 to node 2 with capacity 16,\nan edge from node 8 to node 0 with capacity 6,\nan edge from node 8 to node 17 with capacity 8,\nan edge from node 8 to node 7 with capacity 15,\nan edge from node 9 to node 6 with capacity 9,\nan edge from node 9 to node 15 with capacity 7,\nan edge from node 9 to node 1 with capacity 3,\nan edge from node 9 to node 5 with capacity 2,\nan edge from node 9 to node 7 with capacity 5,\nan edge from node 10 to node 3 with capacity 17,\nan edge from node 10 to node 12 with capacity 4,\nan edge from node 10 to node 9 with capacity 1,\nan edge from node 11 to node 4 with capacity 14,\nan edge from node 11 to node 10 with capacity 20,\nan edge from node 11 to node 8 with capacity 18,\nan edge from node 11 to node 12 with capacity 16,\nan edge from node 11 to node 17 with capacity 3,\nan edge from node 12 to node 1 with capacity 9,\nan edge from node 12 to node 10 with capacity 16,\nan edge from node 12 to node 9 with capacity 6,\nan edge from node 12 to node 11 with capacity 14,\nan edge from node 12 to node 16 with capacity 10,\nan edge from node 13 to node 0 with capacity 15,\nan edge from node 13 to node 17 with capacity 9,\nan edge from node 13 to node 16 with capacity 13,\nan edge from node 14 to node 3 with capacity 15,\nan edge from node 14 to node 8 with capacity 19,\nan edge from node 14 to node 5 with capacity 16,\nan edge from node 14 to node 0 with capacity 14,\nan edge from node 15 to node 1 with capacity 10,\nan edge from node 15 to node 8 with capacity 19,\nan edge from node 15 to node 13 with capacity 7,\nan edge from node 15 to node 9 with capacity 17,\nan edge from node 15 to node 11 with capacity 19,\nan edge from node 16 to node 8 with capacity 6,\nan edge from node 17 to node 3 with capacity 1,\nan edge from node 17 to node 10 with capacity 9,\nan edge from node 17 to node 0 with capacity 15,\nan edge from node 17 to node 11 with capacity 6,\nan edge from node 17 to node 7 with capacity 8,\nWhat is the maximum flow from node 6 to node 5:"
            },
            {
                "from": "gpt",
                "value": "30."
            }
        ]
    },
    {
        "id": "flow-hard-graph1139",
        "image": "data/flow/graph_visual/hard/graph1139.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 11 with capacity 10,\nan edge from node 0 to node 14 with capacity 15,\nan edge from node 0 to node 13 with capacity 17,\nan edge from node 0 to node 2 with capacity 5,\nan edge from node 0 to node 16 with capacity 14,\nan edge from node 1 to node 8 with capacity 4,\nan edge from node 1 to node 3 with capacity 4,\nan edge from node 1 to node 9 with capacity 10,\nan edge from node 1 to node 18 with capacity 15,\nan edge from node 1 to node 15 with capacity 2,\nan edge from node 1 to node 5 with capacity 13,\nan edge from node 1 to node 12 with capacity 3,\nan edge from node 2 to node 7 with capacity 2,\nan edge from node 2 to node 3 with capacity 16,\nan edge from node 2 to node 11 with capacity 1,\nan edge from node 2 to node 13 with capacity 5,\nan edge from node 2 to node 17 with capacity 12,\nan edge from node 2 to node 5 with capacity 3,\nan edge from node 3 to node 7 with capacity 1,\nan edge from node 3 to node 11 with capacity 19,\nan edge from node 3 to node 14 with capacity 7,\nan edge from node 3 to node 6 with capacity 6,\nan edge from node 3 to node 16 with capacity 8,\nan edge from node 4 to node 1 with capacity 13,\nan edge from node 4 to node 15 with capacity 19,\nan edge from node 4 to node 2 with capacity 15,\nan edge from node 4 to node 5 with capacity 20,\nan edge from node 5 to node 9 with capacity 2,\nan edge from node 5 to node 11 with capacity 18,\nan edge from node 5 to node 15 with capacity 12,\nan edge from node 5 to node 10 with capacity 19,\nan edge from node 5 to node 19 with capacity 15,\nan edge from node 5 to node 17 with capacity 5,\nan edge from node 6 to node 2 with capacity 2,\nan edge from node 6 to node 17 with capacity 12,\nan edge from node 7 to node 8 with capacity 16,\nan edge from node 7 to node 18 with capacity 11,\nan edge from node 7 to node 15 with capacity 15,\nan edge from node 7 to node 0 with capacity 11,\nan edge from node 7 to node 6 with capacity 9,\nan edge from node 8 to node 9 with capacity 2,\nan edge from node 8 to node 15 with capacity 19,\nan edge from node 8 to node 10 with capacity 12,\nan edge from node 8 to node 12 with capacity 2,\nan edge from node 9 to node 18 with capacity 3,\nan edge from node 9 to node 13 with capacity 14,\nan edge from node 9 to node 17 with capacity 14,\nan edge from node 10 to node 15 with capacity 4,\nan edge from node 10 to node 14 with capacity 11,\nan edge from node 10 to node 2 with capacity 10,\nan edge from node 11 to node 9 with capacity 10,\nan edge from node 11 to node 4 with capacity 2,\nan edge from node 11 to node 0 with capacity 3,\nan edge from node 11 to node 17 with capacity 18,\nan edge from node 11 to node 5 with capacity 1,\nan edge from node 12 to node 3 with capacity 15,\nan edge from node 12 to node 1 with capacity 16,\nan edge from node 12 to node 11 with capacity 17,\nan edge from node 12 to node 15 with capacity 12,\nan edge from node 12 to node 6 with capacity 4,\nan edge from node 12 to node 5 with capacity 3,\nan edge from node 13 to node 4 with capacity 15,\nan edge from node 13 to node 15 with capacity 13,\nan edge from node 13 to node 10 with capacity 15,\nan edge from node 13 to node 6 with capacity 4,\nan edge from node 14 to node 8 with capacity 10,\nan edge from node 14 to node 11 with capacity 1,\nan edge from node 14 to node 13 with capacity 6,\nan edge from node 14 to node 0 with capacity 5,\nan edge from node 14 to node 16 with capacity 11,\nan edge from node 14 to node 12 with capacity 16,\nan edge from node 15 to node 9 with capacity 12,\nan edge from node 15 to node 14 with capacity 17,\nan edge from node 15 to node 16 with capacity 2,\nan edge from node 16 to node 3 with capacity 16,\nan edge from node 16 to node 13 with capacity 5,\nan edge from node 16 to node 6 with capacity 15,\nan edge from node 17 to node 6 with capacity 5,\nan edge from node 17 to node 5 with capacity 14,\nan edge from node 18 to node 11 with capacity 8,\nan edge from node 18 to node 19 with capacity 20,\nan edge from node 18 to node 2 with capacity 14,\nan edge from node 18 to node 16 with capacity 8,\nan edge from node 19 to node 4 with capacity 18,\nan edge from node 19 to node 13 with capacity 4,\nWhat is the maximum flow from node 9 to node 19:"
            },
            {
                "from": "gpt",
                "value": "31."
            }
        ]
    },
    {
        "id": "flow-hard-graph232",
        "image": "data/flow/graph_visual/hard/graph232.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 4 with capacity 7,\nan edge from node 0 to node 9 with capacity 1,\nan edge from node 1 to node 11 with capacity 15,\nan edge from node 1 to node 0 with capacity 3,\nan edge from node 1 to node 4 with capacity 1,\nan edge from node 1 to node 3 with capacity 1,\nan edge from node 2 to node 3 with capacity 14,\nan edge from node 2 to node 10 with capacity 2,\nan edge from node 3 to node 4 with capacity 19,\nan edge from node 3 to node 10 with capacity 3,\nan edge from node 4 to node 0 with capacity 10,\nan edge from node 4 to node 10 with capacity 18,\nan edge from node 4 to node 2 with capacity 6,\nan edge from node 5 to node 0 with capacity 12,\nan edge from node 5 to node 4 with capacity 15,\nan edge from node 6 to node 0 with capacity 10,\nan edge from node 6 to node 5 with capacity 8,\nan edge from node 6 to node 3 with capacity 2,\nan edge from node 7 to node 0 with capacity 16,\nan edge from node 7 to node 5 with capacity 6,\nan edge from node 7 to node 8 with capacity 5,\nan edge from node 7 to node 6 with capacity 6,\nan edge from node 7 to node 9 with capacity 16,\nan edge from node 7 to node 10 with capacity 13,\nan edge from node 8 to node 5 with capacity 5,\nan edge from node 9 to node 7 with capacity 15,\nan edge from node 10 to node 5 with capacity 4,\nan edge from node 10 to node 4 with capacity 7,\nan edge from node 10 to node 2 with capacity 9,\nan edge from node 11 to node 4 with capacity 16,\nan edge from node 11 to node 8 with capacity 18,\nan edge from node 11 to node 6 with capacity 7,\nan edge from node 11 to node 10 with capacity 3,\nWhat is the maximum flow from node 8 to node 4:"
            },
            {
                "from": "gpt",
                "value": "5."
            }
        ]
    },
    {
        "id": "flow-hard-graph1164",
        "image": "data/flow/graph_visual/hard/graph1164.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 1 with capacity 12,\nan edge from node 0 to node 12 with capacity 13,\nan edge from node 0 to node 16 with capacity 14,\nan edge from node 0 to node 9 with capacity 5,\nan edge from node 0 to node 8 with capacity 1,\nan edge from node 0 to node 18 with capacity 15,\nan edge from node 1 to node 7 with capacity 10,\nan edge from node 1 to node 19 with capacity 11,\nan edge from node 1 to node 13 with capacity 2,\nan edge from node 1 to node 0 with capacity 18,\nan edge from node 1 to node 9 with capacity 20,\nan edge from node 1 to node 8 with capacity 13,\nan edge from node 2 to node 13 with capacity 11,\nan edge from node 2 to node 12 with capacity 16,\nan edge from node 2 to node 17 with capacity 12,\nan edge from node 2 to node 11 with capacity 14,\nan edge from node 2 to node 5 with capacity 16,\nan edge from node 3 to node 1 with capacity 20,\nan edge from node 3 to node 7 with capacity 6,\nan edge from node 3 to node 10 with capacity 18,\nan edge from node 3 to node 12 with capacity 8,\nan edge from node 3 to node 17 with capacity 1,\nan edge from node 3 to node 8 with capacity 16,\nan edge from node 3 to node 11 with capacity 6,\nan edge from node 3 to node 14 with capacity 20,\nan edge from node 4 to node 11 with capacity 14,\nan edge from node 4 to node 5 with capacity 12,\nan edge from node 5 to node 1 with capacity 14,\nan edge from node 5 to node 6 with capacity 18,\nan edge from node 5 to node 4 with capacity 13,\nan edge from node 5 to node 13 with capacity 14,\nan edge from node 5 to node 0 with capacity 12,\nan edge from node 5 to node 10 with capacity 9,\nan edge from node 5 to node 12 with capacity 5,\nan edge from node 5 to node 16 with capacity 9,\nan edge from node 5 to node 18 with capacity 3,\nan edge from node 5 to node 11 with capacity 9,\nan edge from node 5 to node 14 with capacity 16,\nan edge from node 6 to node 4 with capacity 1,\nan edge from node 6 to node 18 with capacity 3,\nan edge from node 6 to node 11 with capacity 16,\nan edge from node 7 to node 1 with capacity 1,\nan edge from node 7 to node 6 with capacity 14,\nan edge from node 7 to node 19 with capacity 11,\nan edge from node 7 to node 4 with capacity 16,\nan edge from node 7 to node 16 with capacity 4,\nan edge from node 7 to node 11 with capacity 4,\nan edge from node 7 to node 5 with capacity 2,\nan edge from node 8 to node 13 with capacity 1,\nan edge from node 8 to node 10 with capacity 18,\nan edge from node 8 to node 17 with capacity 19,\nan edge from node 8 to node 5 with capacity 6,\nan edge from node 9 to node 6 with capacity 2,\nan edge from node 9 to node 19 with capacity 17,\nan edge from node 9 to node 13 with capacity 18,\nan edge from node 9 to node 12 with capacity 5,\nan edge from node 9 to node 17 with capacity 1,\nan edge from node 9 to node 11 with capacity 3,\nan edge from node 10 to node 7 with capacity 9,\nan edge from node 10 to node 4 with capacity 10,\nan edge from node 10 to node 13 with capacity 12,\nan edge from node 10 to node 0 with capacity 12,\nan edge from node 10 to node 12 with capacity 8,\nan edge from node 10 to node 17 with capacity 16,\nan edge from node 11 to node 7 with capacity 12,\nan edge from node 11 to node 4 with capacity 6,\nan edge from node 11 to node 17 with capacity 7,\nan edge from node 11 to node 14 with capacity 15,\nan edge from node 12 to node 13 with capacity 5,\nan edge from node 12 to node 10 with capacity 7,\nan edge from node 13 to node 19 with capacity 17,\nan edge from node 13 to node 12 with capacity 13,\nan edge from node 13 to node 15 with capacity 13,\nan edge from node 13 to node 2 with capacity 7,\nan edge from node 13 to node 11 with capacity 1,\nan edge from node 14 to node 1 with capacity 16,\nan edge from node 14 to node 7 with capacity 9,\nan edge from node 14 to node 19 with capacity 16,\nan edge from node 14 to node 16 with capacity 8,\nan edge from node 15 to node 10 with capacity 17,\nan edge from node 15 to node 16 with capacity 12,\nan edge from node 15 to node 8 with capacity 1,\nan edge from node 16 to node 7 with capacity 4,\nan edge from node 16 to node 15 with capacity 9,\nan edge from node 16 to node 2 with capacity 8,\nan edge from node 18 to node 16 with capacity 7,\nan edge from node 18 to node 17 with capacity 2,\nan edge from node 18 to node 5 with capacity 13,\nan edge from node 19 to node 7 with capacity 11,\nan edge from node 19 to node 2 with capacity 11,\nan edge from node 19 to node 11 with capacity 7,\nWhat is the maximum flow from node 12 to node 7:"
            },
            {
                "from": "gpt",
                "value": "12."
            }
        ]
    },
    {
        "id": "flow-hard-graph271",
        "image": "data/flow/graph_visual/hard/graph271.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 6 with capacity 6,\nan edge from node 0 to node 4 with capacity 8,\nan edge from node 0 to node 10 with capacity 11,\nan edge from node 0 to node 11 with capacity 7,\nan edge from node 0 to node 1 with capacity 6,\nan edge from node 0 to node 3 with capacity 4,\nan edge from node 1 to node 5 with capacity 18,\nan edge from node 1 to node 0 with capacity 6,\nan edge from node 1 to node 7 with capacity 10,\nan edge from node 1 to node 12 with capacity 15,\nan edge from node 1 to node 4 with capacity 4,\nan edge from node 1 to node 8 with capacity 14,\nan edge from node 2 to node 7 with capacity 2,\nan edge from node 2 to node 8 with capacity 6,\nan edge from node 2 to node 11 with capacity 8,\nan edge from node 3 to node 6 with capacity 12,\nan edge from node 3 to node 7 with capacity 18,\nan edge from node 3 to node 10 with capacity 18,\nan edge from node 3 to node 8 with capacity 8,\nan edge from node 4 to node 2 with capacity 7,\nan edge from node 4 to node 3 with capacity 11,\nan edge from node 5 to node 6 with capacity 12,\nan edge from node 5 to node 4 with capacity 6,\nan edge from node 5 to node 11 with capacity 15,\nan edge from node 5 to node 3 with capacity 14,\nan edge from node 6 to node 7 with capacity 4,\nan edge from node 6 to node 3 with capacity 12,\nan edge from node 7 to node 8 with capacity 5,\nan edge from node 7 to node 9 with capacity 19,\nan edge from node 8 to node 2 with capacity 8,\nan edge from node 8 to node 9 with capacity 2,\nan edge from node 9 to node 7 with capacity 14,\nan edge from node 10 to node 2 with capacity 14,\nan edge from node 10 to node 4 with capacity 8,\nan edge from node 10 to node 8 with capacity 19,\nan edge from node 10 to node 9 with capacity 1,\nan edge from node 11 to node 5 with capacity 14,\nan edge from node 11 to node 2 with capacity 3,\nan edge from node 11 to node 9 with capacity 19,\nan edge from node 12 to node 5 with capacity 5,\nan edge from node 12 to node 0 with capacity 12,\nan edge from node 12 to node 10 with capacity 8,\nWhat is the maximum flow from node 7 to node 6:"
            },
            {
                "from": "gpt",
                "value": "5."
            }
        ]
    },
    {
        "id": "flow-hard-graph708",
        "image": "data/flow/graph_visual/hard/graph708.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 11 with capacity 10,\nan edge from node 0 to node 5 with capacity 6,\nan edge from node 0 to node 6 with capacity 6,\nan edge from node 0 to node 10 with capacity 3,\nan edge from node 1 to node 7 with capacity 3,\nan edge from node 1 to node 2 with capacity 19,\nan edge from node 1 to node 9 with capacity 7,\nan edge from node 1 to node 10 with capacity 1,\nan edge from node 1 to node 14 with capacity 4,\nan edge from node 2 to node 7 with capacity 19,\nan edge from node 2 to node 3 with capacity 2,\nan edge from node 2 to node 1 with capacity 18,\nan edge from node 2 to node 11 with capacity 5,\nan edge from node 2 to node 5 with capacity 12,\nan edge from node 2 to node 14 with capacity 11,\nan edge from node 3 to node 9 with capacity 16,\nan edge from node 3 to node 6 with capacity 13,\nan edge from node 3 to node 14 with capacity 13,\nan edge from node 4 to node 7 with capacity 3,\nan edge from node 4 to node 14 with capacity 8,\nan edge from node 5 to node 7 with capacity 8,\nan edge from node 5 to node 12 with capacity 9,\nan edge from node 5 to node 8 with capacity 20,\nan edge from node 6 to node 7 with capacity 13,\nan edge from node 6 to node 1 with capacity 1,\nan edge from node 6 to node 9 with capacity 15,\nan edge from node 6 to node 13 with capacity 7,\nan edge from node 7 to node 1 with capacity 11,\nan edge from node 7 to node 2 with capacity 13,\nan edge from node 7 to node 4 with capacity 18,\nan edge from node 7 to node 10 with capacity 12,\nan edge from node 8 to node 7 with capacity 1,\nan edge from node 8 to node 3 with capacity 13,\nan edge from node 8 to node 2 with capacity 18,\nan edge from node 8 to node 5 with capacity 20,\nan edge from node 8 to node 4 with capacity 3,\nan edge from node 8 to node 6 with capacity 8,\nan edge from node 9 to node 7 with capacity 14,\nan edge from node 9 to node 3 with capacity 10,\nan edge from node 9 to node 10 with capacity 5,\nan edge from node 10 to node 5 with capacity 18,\nan edge from node 10 to node 6 with capacity 12,\nan edge from node 10 to node 15 with capacity 19,\nan edge from node 11 to node 7 with capacity 2,\nan edge from node 11 to node 9 with capacity 5,\nan edge from node 11 to node 5 with capacity 12,\nan edge from node 11 to node 8 with capacity 5,\nan edge from node 11 to node 13 with capacity 5,\nan edge from node 11 to node 6 with capacity 6,\nan edge from node 11 to node 10 with capacity 17,\nan edge from node 12 to node 7 with capacity 9,\nan edge from node 12 to node 9 with capacity 10,\nan edge from node 12 to node 8 with capacity 4,\nan edge from node 12 to node 15 with capacity 4,\nan edge from node 12 to node 14 with capacity 5,\nan edge from node 12 to node 0 with capacity 3,\nan edge from node 13 to node 1 with capacity 8,\nan edge from node 13 to node 2 with capacity 7,\nan edge from node 13 to node 14 with capacity 14,\nan edge from node 14 to node 2 with capacity 18,\nan edge from node 14 to node 9 with capacity 17,\nan edge from node 14 to node 11 with capacity 9,\nan edge from node 14 to node 5 with capacity 20,\nan edge from node 14 to node 13 with capacity 10,\nan edge from node 14 to node 6 with capacity 7,\nan edge from node 14 to node 15 with capacity 13,\nan edge from node 14 to node 0 with capacity 12,\nan edge from node 15 to node 7 with capacity 15,\nan edge from node 15 to node 1 with capacity 4,\nan edge from node 15 to node 4 with capacity 16,\nan edge from node 15 to node 13 with capacity 20,\nWhat is the maximum flow from node 2 to node 6:"
            },
            {
                "from": "gpt",
                "value": "52."
            }
        ]
    },
    {
        "id": "flow-hard-graph530",
        "image": "data/flow/graph_visual/hard/graph530.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 12 with capacity 10,\nan edge from node 0 to node 2 with capacity 11,\nan edge from node 0 to node 1 with capacity 8,\nan edge from node 0 to node 6 with capacity 4,\nan edge from node 0 to node 3 with capacity 10,\nan edge from node 1 to node 10 with capacity 19,\nan edge from node 1 to node 12 with capacity 18,\nan edge from node 1 to node 7 with capacity 14,\nan edge from node 1 to node 6 with capacity 8,\nan edge from node 2 to node 10 with capacity 7,\nan edge from node 2 to node 12 with capacity 17,\nan edge from node 2 to node 13 with capacity 18,\nan edge from node 2 to node 0 with capacity 2,\nan edge from node 2 to node 7 with capacity 1,\nan edge from node 2 to node 3 with capacity 6,\nan edge from node 3 to node 12 with capacity 8,\nan edge from node 3 to node 2 with capacity 18,\nan edge from node 3 to node 13 with capacity 20,\nan edge from node 3 to node 4 with capacity 10,\nan edge from node 4 to node 12 with capacity 4,\nan edge from node 5 to node 13 with capacity 5,\nan edge from node 5 to node 11 with capacity 19,\nan edge from node 5 to node 4 with capacity 2,\nan edge from node 6 to node 10 with capacity 9,\nan edge from node 6 to node 4 with capacity 14,\nan edge from node 6 to node 8 with capacity 9,\nan edge from node 7 to node 10 with capacity 18,\nan edge from node 7 to node 2 with capacity 18,\nan edge from node 7 to node 14 with capacity 11,\nan edge from node 7 to node 9 with capacity 7,\nan edge from node 7 to node 6 with capacity 20,\nan edge from node 8 to node 2 with capacity 6,\nan edge from node 8 to node 6 with capacity 1,\nan edge from node 9 to node 10 with capacity 20,\nan edge from node 9 to node 12 with capacity 3,\nan edge from node 9 to node 2 with capacity 19,\nan edge from node 9 to node 4 with capacity 13,\nan edge from node 9 to node 8 with capacity 19,\nan edge from node 9 to node 1 with capacity 9,\nan edge from node 9 to node 7 with capacity 3,\nan edge from node 9 to node 6 with capacity 15,\nan edge from node 9 to node 5 with capacity 3,\nan edge from node 10 to node 2 with capacity 15,\nan edge from node 10 to node 4 with capacity 13,\nan edge from node 10 to node 8 with capacity 18,\nan edge from node 10 to node 9 with capacity 10,\nan edge from node 10 to node 6 with capacity 20,\nan edge from node 11 to node 2 with capacity 1,\nan edge from node 11 to node 4 with capacity 13,\nan edge from node 11 to node 7 with capacity 19,\nan edge from node 11 to node 3 with capacity 6,\nan edge from node 11 to node 5 with capacity 3,\nan edge from node 12 to node 10 with capacity 6,\nan edge from node 12 to node 13 with capacity 17,\nan edge from node 12 to node 11 with capacity 4,\nan edge from node 12 to node 4 with capacity 3,\nan edge from node 12 to node 0 with capacity 9,\nan edge from node 13 to node 10 with capacity 13,\nan edge from node 14 to node 11 with capacity 3,\nan edge from node 14 to node 4 with capacity 14,\nWhat is the maximum flow from node 13 to node 12:"
            },
            {
                "from": "gpt",
                "value": "13."
            }
        ]
    },
    {
        "id": "flow-hard-graph126",
        "image": "data/flow/graph_visual/hard/graph126.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 8 with capacity 7,\nan edge from node 0 to node 3 with capacity 13,\nan edge from node 0 to node 5 with capacity 18,\nan edge from node 0 to node 9 with capacity 3,\nan edge from node 0 to node 10 with capacity 11,\nan edge from node 1 to node 3 with capacity 18,\nan edge from node 1 to node 9 with capacity 15,\nan edge from node 1 to node 10 with capacity 20,\nan edge from node 2 to node 8 with capacity 4,\nan edge from node 2 to node 3 with capacity 5,\nan edge from node 2 to node 5 with capacity 14,\nan edge from node 2 to node 10 with capacity 14,\nan edge from node 3 to node 0 with capacity 3,\nan edge from node 3 to node 10 with capacity 15,\nan edge from node 4 to node 3 with capacity 17,\nan edge from node 4 to node 2 with capacity 1,\nan edge from node 4 to node 6 with capacity 5,\nan edge from node 5 to node 8 with capacity 8,\nan edge from node 5 to node 3 with capacity 7,\nan edge from node 5 to node 11 with capacity 14,\nan edge from node 5 to node 10 with capacity 18,\nan edge from node 6 to node 4 with capacity 6,\nan edge from node 6 to node 5 with capacity 8,\nan edge from node 6 to node 1 with capacity 1,\nan edge from node 7 to node 3 with capacity 19,\nan edge from node 7 to node 2 with capacity 18,\nan edge from node 8 to node 1 with capacity 16,\nan edge from node 8 to node 11 with capacity 2,\nan edge from node 8 to node 10 with capacity 18,\nan edge from node 9 to node 4 with capacity 5,\nan edge from node 9 to node 5 with capacity 7,\nan edge from node 9 to node 2 with capacity 12,\nan edge from node 9 to node 1 with capacity 12,\nan edge from node 9 to node 11 with capacity 2,\nan edge from node 10 to node 4 with capacity 17,\nan edge from node 10 to node 2 with capacity 15,\nan edge from node 10 to node 1 with capacity 11,\nan edge from node 11 to node 8 with capacity 2,\nan edge from node 11 to node 9 with capacity 18,\nan edge from node 11 to node 6 with capacity 16,\nan edge from node 11 to node 1 with capacity 17,\nan edge from node 11 to node 10 with capacity 18,\nWhat is the maximum flow from node 11 to node 10:"
            },
            {
                "from": "gpt",
                "value": "70."
            }
        ]
    },
    {
        "id": "flow-hard-graph854",
        "image": "data/flow/graph_visual/hard/graph854.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 17 with capacity 13,\nan edge from node 0 to node 6 with capacity 19,\nan edge from node 0 to node 13 with capacity 19,\nan edge from node 1 to node 16 with capacity 11,\nan edge from node 1 to node 11 with capacity 1,\nan edge from node 1 to node 3 with capacity 18,\nan edge from node 1 to node 14 with capacity 16,\nan edge from node 2 to node 0 with capacity 8,\nan edge from node 2 to node 11 with capacity 11,\nan edge from node 2 to node 17 with capacity 10,\nan edge from node 2 to node 9 with capacity 18,\nan edge from node 2 to node 13 with capacity 20,\nan edge from node 2 to node 10 with capacity 17,\nan edge from node 2 to node 4 with capacity 20,\nan edge from node 3 to node 2 with capacity 15,\nan edge from node 3 to node 11 with capacity 13,\nan edge from node 3 to node 6 with capacity 15,\nan edge from node 3 to node 12 with capacity 16,\nan edge from node 3 to node 7 with capacity 9,\nan edge from node 4 to node 11 with capacity 14,\nan edge from node 4 to node 3 with capacity 4,\nan edge from node 4 to node 5 with capacity 16,\nan edge from node 4 to node 8 with capacity 2,\nan edge from node 4 to node 12 with capacity 17,\nan edge from node 4 to node 1 with capacity 12,\nan edge from node 4 to node 10 with capacity 3,\nan edge from node 5 to node 15 with capacity 7,\nan edge from node 5 to node 6 with capacity 7,\nan edge from node 5 to node 1 with capacity 2,\nan edge from node 6 to node 11 with capacity 14,\nan edge from node 6 to node 12 with capacity 9,\nan edge from node 6 to node 13 with capacity 12,\nan edge from node 6 to node 10 with capacity 18,\nan edge from node 6 to node 7 with capacity 16,\nan edge from node 7 to node 2 with capacity 13,\nan edge from node 7 to node 11 with capacity 3,\nan edge from node 7 to node 9 with capacity 1,\nan edge from node 8 to node 4 with capacity 4,\nan edge from node 9 to node 8 with capacity 18,\nan edge from node 9 to node 6 with capacity 15,\nan edge from node 9 to node 12 with capacity 7,\nan edge from node 9 to node 13 with capacity 2,\nan edge from node 10 to node 2 with capacity 16,\nan edge from node 10 to node 3 with capacity 16,\nan edge from node 11 to node 5 with capacity 19,\nan edge from node 11 to node 15 with capacity 5,\nan edge from node 11 to node 4 with capacity 13,\nan edge from node 12 to node 16 with capacity 11,\nan edge from node 12 to node 7 with capacity 5,\nan edge from node 13 to node 0 with capacity 11,\nan edge from node 13 to node 5 with capacity 4,\nan edge from node 13 to node 8 with capacity 16,\nan edge from node 13 to node 15 with capacity 10,\nan edge from node 13 to node 9 with capacity 1,\nan edge from node 13 to node 4 with capacity 11,\nan edge from node 14 to node 12 with capacity 2,\nan edge from node 14 to node 13 with capacity 4,\nan edge from node 15 to node 16 with capacity 4,\nan edge from node 15 to node 5 with capacity 20,\nan edge from node 15 to node 6 with capacity 8,\nan edge from node 15 to node 1 with capacity 11,\nan edge from node 15 to node 10 with capacity 20,\nan edge from node 15 to node 4 with capacity 11,\nan edge from node 16 to node 8 with capacity 20,\nan edge from node 16 to node 14 with capacity 2,\nan edge from node 16 to node 15 with capacity 8,\nan edge from node 16 to node 6 with capacity 9,\nan edge from node 17 to node 0 with capacity 18,\nan edge from node 17 to node 5 with capacity 4,\nan edge from node 17 to node 8 with capacity 8,\nan edge from node 17 to node 9 with capacity 10,\nWhat is the maximum flow from node 17 to node 9:"
            },
            {
                "from": "gpt",
                "value": "30."
            }
        ]
    },
    {
        "id": "flow-hard-graph777",
        "image": "data/flow/graph_visual/hard/graph777.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 14 with capacity 16,\nan edge from node 0 to node 3 with capacity 10,\nan edge from node 0 to node 4 with capacity 11,\nan edge from node 1 to node 11 with capacity 14,\nan edge from node 1 to node 6 with capacity 18,\nan edge from node 1 to node 3 with capacity 16,\nan edge from node 1 to node 13 with capacity 6,\nan edge from node 1 to node 0 with capacity 14,\nan edge from node 1 to node 5 with capacity 3,\nan edge from node 2 to node 1 with capacity 18,\nan edge from node 2 to node 6 with capacity 10,\nan edge from node 2 to node 3 with capacity 9,\nan edge from node 3 to node 1 with capacity 2,\nan edge from node 3 to node 11 with capacity 20,\nan edge from node 3 to node 15 with capacity 10,\nan edge from node 3 to node 7 with capacity 18,\nan edge from node 3 to node 0 with capacity 16,\nan edge from node 3 to node 12 with capacity 18,\nan edge from node 3 to node 8 with capacity 18,\nan edge from node 4 to node 11 with capacity 13,\nan edge from node 4 to node 14 with capacity 1,\nan edge from node 4 to node 15 with capacity 18,\nan edge from node 4 to node 13 with capacity 1,\nan edge from node 4 to node 0 with capacity 9,\nan edge from node 5 to node 14 with capacity 6,\nan edge from node 5 to node 6 with capacity 15,\nan edge from node 5 to node 10 with capacity 11,\nan edge from node 5 to node 3 with capacity 9,\nan edge from node 5 to node 7 with capacity 18,\nan edge from node 6 to node 1 with capacity 19,\nan edge from node 6 to node 14 with capacity 6,\nan edge from node 6 to node 7 with capacity 7,\nan edge from node 7 to node 15 with capacity 9,\nan edge from node 7 to node 10 with capacity 12,\nan edge from node 7 to node 2 with capacity 11,\nan edge from node 7 to node 0 with capacity 1,\nan edge from node 7 to node 9 with capacity 12,\nan edge from node 8 to node 9 with capacity 15,\nan edge from node 8 to node 4 with capacity 19,\nan edge from node 9 to node 11 with capacity 4,\nan edge from node 9 to node 15 with capacity 11,\nan edge from node 9 to node 7 with capacity 16,\nan edge from node 9 to node 12 with capacity 7,\nan edge from node 9 to node 16 with capacity 5,\nan edge from node 9 to node 5 with capacity 17,\nan edge from node 10 to node 6 with capacity 1,\nan edge from node 10 to node 13 with capacity 16,\nan edge from node 10 to node 2 with capacity 2,\nan edge from node 10 to node 4 with capacity 18,\nan edge from node 11 to node 12 with capacity 2,\nan edge from node 11 to node 9 with capacity 1,\nan edge from node 11 to node 5 with capacity 18,\nan edge from node 11 to node 8 with capacity 19,\nan edge from node 12 to node 10 with capacity 10,\nan edge from node 12 to node 13 with capacity 14,\nan edge from node 12 to node 5 with capacity 8,\nan edge from node 12 to node 8 with capacity 11,\nan edge from node 13 to node 1 with capacity 20,\nan edge from node 13 to node 6 with capacity 13,\nan edge from node 13 to node 3 with capacity 5,\nan edge from node 13 to node 2 with capacity 16,\nan edge from node 13 to node 0 with capacity 5,\nan edge from node 13 to node 4 with capacity 17,\nan edge from node 14 to node 1 with capacity 11,\nan edge from node 14 to node 0 with capacity 4,\nan edge from node 14 to node 12 with capacity 8,\nan edge from node 14 to node 9 with capacity 5,\nan edge from node 14 to node 16 with capacity 16,\nan edge from node 15 to node 1 with capacity 16,\nan edge from node 15 to node 3 with capacity 4,\nan edge from node 16 to node 3 with capacity 18,\nan edge from node 16 to node 13 with capacity 7,\nan edge from node 16 to node 9 with capacity 12,\nWhat is the maximum flow from node 9 to node 6:"
            },
            {
                "from": "gpt",
                "value": "57."
            }
        ]
    },
    {
        "id": "flow-hard-graph89",
        "image": "data/flow/graph_visual/hard/graph89.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 7 with capacity 11,\nan edge from node 0 to node 3 with capacity 14,\nan edge from node 0 to node 2 with capacity 6,\nan edge from node 0 to node 9 with capacity 19,\nan edge from node 1 to node 10 with capacity 12,\nan edge from node 1 to node 9 with capacity 4,\nan edge from node 2 to node 8 with capacity 15,\nan edge from node 2 to node 6 with capacity 19,\nan edge from node 2 to node 7 with capacity 9,\nan edge from node 2 to node 3 with capacity 11,\nan edge from node 2 to node 5 with capacity 15,\nan edge from node 3 to node 4 with capacity 3,\nan edge from node 3 to node 6 with capacity 5,\nan edge from node 4 to node 7 with capacity 2,\nan edge from node 5 to node 7 with capacity 1,\nan edge from node 5 to node 2 with capacity 3,\nan edge from node 6 to node 3 with capacity 7,\nan edge from node 6 to node 5 with capacity 2,\nan edge from node 7 to node 8 with capacity 16,\nan edge from node 7 to node 4 with capacity 4,\nan edge from node 7 to node 9 with capacity 3,\nan edge from node 8 to node 5 with capacity 4,\nan edge from node 9 to node 0 with capacity 6,\nan edge from node 9 to node 10 with capacity 4,\nan edge from node 10 to node 6 with capacity 12,\nan edge from node 10 to node 5 with capacity 1,\nWhat is the maximum flow from node 0 to node 7:"
            },
            {
                "from": "gpt",
                "value": "22."
            }
        ]
    },
    {
        "id": "flow-hard-graph1098",
        "image": "data/flow/graph_visual/hard/graph1098.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 4 with capacity 6,\nan edge from node 0 to node 5 with capacity 19,\nan edge from node 0 to node 10 with capacity 8,\nan edge from node 0 to node 13 with capacity 13,\nan edge from node 0 to node 19 with capacity 8,\nan edge from node 1 to node 3 with capacity 7,\nan edge from node 1 to node 17 with capacity 7,\nan edge from node 1 to node 15 with capacity 2,\nan edge from node 1 to node 16 with capacity 7,\nan edge from node 1 to node 10 with capacity 15,\nan edge from node 1 to node 13 with capacity 11,\nan edge from node 2 to node 12 with capacity 5,\nan edge from node 2 to node 19 with capacity 19,\nan edge from node 3 to node 18 with capacity 12,\nan edge from node 3 to node 17 with capacity 11,\nan edge from node 3 to node 4 with capacity 9,\nan edge from node 3 to node 5 with capacity 4,\nan edge from node 4 to node 0 with capacity 10,\nan edge from node 4 to node 2 with capacity 7,\nan edge from node 4 to node 1 with capacity 1,\nan edge from node 4 to node 16 with capacity 7,\nan edge from node 4 to node 13 with capacity 5,\nan edge from node 4 to node 19 with capacity 20,\nan edge from node 5 to node 18 with capacity 13,\nan edge from node 5 to node 7 with capacity 6,\nan edge from node 5 to node 12 with capacity 5,\nan edge from node 5 to node 6 with capacity 16,\nan edge from node 5 to node 16 with capacity 13,\nan edge from node 6 to node 17 with capacity 7,\nan edge from node 6 to node 7 with capacity 7,\nan edge from node 6 to node 2 with capacity 7,\nan edge from node 6 to node 12 with capacity 5,\nan edge from node 6 to node 16 with capacity 15,\nan edge from node 6 to node 19 with capacity 7,\nan edge from node 7 to node 15 with capacity 20,\nan edge from node 7 to node 4 with capacity 1,\nan edge from node 7 to node 1 with capacity 12,\nan edge from node 7 to node 16 with capacity 19,\nan edge from node 7 to node 11 with capacity 13,\nan edge from node 7 to node 13 with capacity 11,\nan edge from node 8 to node 15 with capacity 20,\nan edge from node 8 to node 0 with capacity 11,\nan edge from node 8 to node 14 with capacity 8,\nan edge from node 8 to node 6 with capacity 1,\nan edge from node 8 to node 11 with capacity 5,\nan edge from node 9 to node 5 with capacity 1,\nan edge from node 9 to node 8 with capacity 19,\nan edge from node 9 to node 10 with capacity 5,\nan edge from node 9 to node 11 with capacity 7,\nan edge from node 9 to node 13 with capacity 6,\nan edge from node 10 to node 4 with capacity 12,\nan edge from node 10 to node 2 with capacity 13,\nan edge from node 10 to node 1 with capacity 6,\nan edge from node 10 to node 11 with capacity 7,\nan edge from node 11 to node 3 with capacity 6,\nan edge from node 11 to node 17 with capacity 16,\nan edge from node 11 to node 8 with capacity 2,\nan edge from node 11 to node 16 with capacity 3,\nan edge from node 11 to node 9 with capacity 1,\nan edge from node 12 to node 3 with capacity 3,\nan edge from node 12 to node 15 with capacity 16,\nan edge from node 12 to node 0 with capacity 17,\nan edge from node 12 to node 1 with capacity 8,\nan edge from node 12 to node 5 with capacity 12,\nan edge from node 12 to node 16 with capacity 14,\nan edge from node 12 to node 10 with capacity 2,\nan edge from node 13 to node 3 with capacity 2,\nan edge from node 13 to node 2 with capacity 19,\nan edge from node 13 to node 16 with capacity 16,\nan edge from node 13 to node 11 with capacity 5,\nan edge from node 13 to node 19 with capacity 8,\nan edge from node 14 to node 5 with capacity 13,\nan edge from node 14 to node 9 with capacity 16,\nan edge from node 15 to node 18 with capacity 13,\nan edge from node 15 to node 17 with capacity 20,\nan edge from node 15 to node 4 with capacity 11,\nan edge from node 15 to node 12 with capacity 6,\nan edge from node 15 to node 10 with capacity 7,\nan edge from node 15 to node 11 with capacity 11,\nan edge from node 16 to node 18 with capacity 3,\nan edge from node 16 to node 15 with capacity 3,\nan edge from node 16 to node 12 with capacity 14,\nan edge from node 16 to node 1 with capacity 4,\nan edge from node 16 to node 5 with capacity 15,\nan edge from node 16 to node 6 with capacity 17,\nan edge from node 16 to node 9 with capacity 19,\nan edge from node 17 to node 15 with capacity 15,\nan edge from node 17 to node 0 with capacity 16,\nan edge from node 17 to node 12 with capacity 6,\nan edge from node 17 to node 1 with capacity 7,\nan edge from node 17 to node 5 with capacity 7,\nan edge from node 17 to node 11 with capacity 18,\nan edge from node 18 to node 7 with capacity 17,\nan edge from node 18 to node 1 with capacity 12,\nan edge from node 18 to node 5 with capacity 17,\nan edge from node 18 to node 8 with capacity 9,\nan edge from node 18 to node 13 with capacity 8,\nan edge from node 19 to node 18 with capacity 3,\nan edge from node 19 to node 17 with capacity 2,\nan edge from node 19 to node 0 with capacity 15,\nan edge from node 19 to node 4 with capacity 12,\nan edge from node 19 to node 2 with capacity 10,\nan edge from node 19 to node 5 with capacity 13,\nWhat is the maximum flow from node 7 to node 15:"
            },
            {
                "from": "gpt",
                "value": "76."
            }
        ]
    },
    {
        "id": "flow-hard-graph370",
        "image": "data/flow/graph_visual/hard/graph370.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 13 with capacity 17,\nan edge from node 1 to node 7 with capacity 2,\nan edge from node 1 to node 0 with capacity 6,\nan edge from node 1 to node 6 with capacity 16,\nan edge from node 1 to node 5 with capacity 19,\nan edge from node 2 to node 12 with capacity 12,\nan edge from node 2 to node 8 with capacity 5,\nan edge from node 2 to node 9 with capacity 4,\nan edge from node 2 to node 6 with capacity 8,\nan edge from node 2 to node 4 with capacity 5,\nan edge from node 2 to node 5 with capacity 7,\nan edge from node 3 to node 1 with capacity 17,\nan edge from node 3 to node 10 with capacity 15,\nan edge from node 3 to node 0 with capacity 1,\nan edge from node 3 to node 9 with capacity 19,\nan edge from node 4 to node 2 with capacity 18,\nan edge from node 4 to node 12 with capacity 2,\nan edge from node 4 to node 7 with capacity 3,\nan edge from node 5 to node 3 with capacity 10,\nan edge from node 5 to node 0 with capacity 12,\nan edge from node 5 to node 4 with capacity 3,\nan edge from node 6 to node 10 with capacity 6,\nan edge from node 8 to node 3 with capacity 8,\nan edge from node 8 to node 7 with capacity 2,\nan edge from node 8 to node 11 with capacity 16,\nan edge from node 9 to node 3 with capacity 10,\nan edge from node 10 to node 12 with capacity 14,\nan edge from node 10 to node 0 with capacity 10,\nan edge from node 10 to node 8 with capacity 6,\nan edge from node 10 to node 9 with capacity 7,\nan edge from node 10 to node 4 with capacity 12,\nan edge from node 11 to node 1 with capacity 14,\nan edge from node 11 to node 7 with capacity 8,\nan edge from node 11 to node 0 with capacity 13,\nan edge from node 11 to node 9 with capacity 16,\nan edge from node 12 to node 10 with capacity 1,\nan edge from node 12 to node 13 with capacity 3,\nan edge from node 12 to node 7 with capacity 4,\nan edge from node 12 to node 0 with capacity 20,\nan edge from node 12 to node 9 with capacity 10,\nan edge from node 13 to node 9 with capacity 19,\nWhat is the maximum flow from node 9 to node 11:"
            },
            {
                "from": "gpt",
                "value": "10."
            }
        ]
    },
    {
        "id": "flow-hard-graph855",
        "image": "data/flow/graph_visual/hard/graph855.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 9 with capacity 12,\nan edge from node 0 to node 7 with capacity 15,\nan edge from node 0 to node 16 with capacity 13,\nan edge from node 0 to node 13 with capacity 2,\nan edge from node 1 to node 7 with capacity 6,\nan edge from node 1 to node 12 with capacity 12,\nan edge from node 1 to node 11 with capacity 13,\nan edge from node 2 to node 10 with capacity 19,\nan edge from node 2 to node 0 with capacity 1,\nan edge from node 2 to node 17 with capacity 14,\nan edge from node 3 to node 9 with capacity 16,\nan edge from node 3 to node 0 with capacity 7,\nan edge from node 3 to node 2 with capacity 20,\nan edge from node 3 to node 8 with capacity 17,\nan edge from node 3 to node 15 with capacity 7,\nan edge from node 4 to node 3 with capacity 19,\nan edge from node 4 to node 7 with capacity 16,\nan edge from node 4 to node 2 with capacity 5,\nan edge from node 4 to node 16 with capacity 2,\nan edge from node 4 to node 17 with capacity 7,\nan edge from node 5 to node 9 with capacity 7,\nan edge from node 6 to node 3 with capacity 4,\nan edge from node 6 to node 1 with capacity 17,\nan edge from node 6 to node 15 with capacity 10,\nan edge from node 7 to node 9 with capacity 7,\nan edge from node 7 to node 4 with capacity 20,\nan edge from node 7 to node 10 with capacity 14,\nan edge from node 7 to node 13 with capacity 7,\nan edge from node 7 to node 17 with capacity 8,\nan edge from node 8 to node 3 with capacity 8,\nan edge from node 8 to node 4 with capacity 11,\nan edge from node 8 to node 10 with capacity 18,\nan edge from node 9 to node 3 with capacity 20,\nan edge from node 9 to node 15 with capacity 14,\nan edge from node 9 to node 13 with capacity 1,\nan edge from node 10 to node 6 with capacity 3,\nan edge from node 10 to node 2 with capacity 9,\nan edge from node 10 to node 12 with capacity 7,\nan edge from node 10 to node 5 with capacity 6,\nan edge from node 11 to node 9 with capacity 15,\nan edge from node 11 to node 2 with capacity 16,\nan edge from node 11 to node 8 with capacity 19,\nan edge from node 11 to node 16 with capacity 7,\nan edge from node 11 to node 5 with capacity 17,\nan edge from node 11 to node 17 with capacity 13,\nan edge from node 12 to node 4 with capacity 15,\nan edge from node 12 to node 13 with capacity 13,\nan edge from node 13 to node 3 with capacity 18,\nan edge from node 13 to node 14 with capacity 12,\nan edge from node 13 to node 6 with capacity 1,\nan edge from node 13 to node 0 with capacity 13,\nan edge from node 13 to node 8 with capacity 4,\nan edge from node 13 to node 11 with capacity 5,\nan edge from node 14 to node 7 with capacity 19,\nan edge from node 14 to node 8 with capacity 16,\nan edge from node 14 to node 5 with capacity 7,\nan edge from node 14 to node 15 with capacity 20,\nan edge from node 14 to node 17 with capacity 20,\nan edge from node 15 to node 6 with capacity 18,\nan edge from node 15 to node 8 with capacity 4,\nan edge from node 15 to node 12 with capacity 1,\nan edge from node 15 to node 5 with capacity 20,\nan edge from node 16 to node 9 with capacity 2,\nan edge from node 16 to node 1 with capacity 15,\nan edge from node 16 to node 14 with capacity 5,\nan edge from node 16 to node 12 with capacity 2,\nan edge from node 16 to node 17 with capacity 16,\nan edge from node 17 to node 4 with capacity 7,\nan edge from node 17 to node 0 with capacity 9,\nan edge from node 17 to node 16 with capacity 19,\nan edge from node 17 to node 15 with capacity 12,\nWhat is the maximum flow from node 4 to node 16:"
            },
            {
                "from": "gpt",
                "value": "41."
            }
        ]
    },
    {
        "id": "flow-hard-graph328",
        "image": "data/flow/graph_visual/hard/graph328.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 2 with capacity 2,\nan edge from node 0 to node 3 with capacity 10,\nan edge from node 0 to node 12 with capacity 3,\nan edge from node 1 to node 6 with capacity 8,\nan edge from node 1 to node 3 with capacity 11,\nan edge from node 1 to node 11 with capacity 5,\nan edge from node 2 to node 10 with capacity 18,\nan edge from node 3 to node 10 with capacity 12,\nan edge from node 3 to node 8 with capacity 6,\nan edge from node 3 to node 7 with capacity 11,\nan edge from node 3 to node 11 with capacity 19,\nan edge from node 4 to node 0 with capacity 5,\nan edge from node 4 to node 1 with capacity 16,\nan edge from node 4 to node 3 with capacity 17,\nan edge from node 6 to node 3 with capacity 18,\nan edge from node 7 to node 0 with capacity 15,\nan edge from node 7 to node 2 with capacity 14,\nan edge from node 7 to node 6 with capacity 19,\nan edge from node 8 to node 9 with capacity 9,\nan edge from node 8 to node 1 with capacity 9,\nan edge from node 8 to node 2 with capacity 19,\nan edge from node 8 to node 10 with capacity 13,\nan edge from node 8 to node 11 with capacity 17,\nan edge from node 9 to node 7 with capacity 5,\nan edge from node 10 to node 1 with capacity 3,\nan edge from node 11 to node 9 with capacity 11,\nan edge from node 11 to node 2 with capacity 6,\nan edge from node 11 to node 8 with capacity 19,\nan edge from node 11 to node 7 with capacity 4,\nan edge from node 12 to node 6 with capacity 8,\nan edge from node 12 to node 8 with capacity 18,\nWhat is the maximum flow from node 10 to node 12:"
            },
            {
                "from": "gpt",
                "value": "3."
            }
        ]
    },
    {
        "id": "flow-hard-graph443",
        "image": "data/flow/graph_visual/hard/graph443.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 1 with capacity 9,\nan edge from node 0 to node 12 with capacity 6,\nan edge from node 0 to node 5 with capacity 20,\nan edge from node 0 to node 13 with capacity 18,\nan edge from node 0 to node 11 with capacity 4,\nan edge from node 1 to node 8 with capacity 5,\nan edge from node 1 to node 0 with capacity 15,\nan edge from node 1 to node 4 with capacity 9,\nan edge from node 1 to node 13 with capacity 2,\nan edge from node 1 to node 7 with capacity 14,\nan edge from node 2 to node 8 with capacity 12,\nan edge from node 2 to node 7 with capacity 15,\nan edge from node 3 to node 10 with capacity 5,\nan edge from node 3 to node 8 with capacity 14,\nan edge from node 3 to node 4 with capacity 10,\nan edge from node 4 to node 2 with capacity 3,\nan edge from node 4 to node 11 with capacity 3,\nan edge from node 5 to node 2 with capacity 10,\nan edge from node 5 to node 0 with capacity 4,\nan edge from node 5 to node 4 with capacity 4,\nan edge from node 5 to node 7 with capacity 17,\nan edge from node 6 to node 2 with capacity 16,\nan edge from node 6 to node 10 with capacity 4,\nan edge from node 6 to node 9 with capacity 13,\nan edge from node 6 to node 4 with capacity 16,\nan edge from node 6 to node 5 with capacity 10,\nan edge from node 6 to node 13 with capacity 2,\nan edge from node 8 to node 9 with capacity 1,\nan edge from node 8 to node 0 with capacity 11,\nan edge from node 8 to node 12 with capacity 1,\nan edge from node 9 to node 8 with capacity 7,\nan edge from node 9 to node 1 with capacity 6,\nan edge from node 9 to node 0 with capacity 7,\nan edge from node 9 to node 12 with capacity 13,\nan edge from node 9 to node 11 with capacity 6,\nan edge from node 9 to node 7 with capacity 1,\nan edge from node 10 to node 8 with capacity 3,\nan edge from node 11 to node 2 with capacity 17,\nan edge from node 11 to node 8 with capacity 19,\nan edge from node 11 to node 0 with capacity 16,\nan edge from node 11 to node 3 with capacity 5,\nan edge from node 11 to node 13 with capacity 1,\nan edge from node 12 to node 2 with capacity 5,\nan edge from node 12 to node 8 with capacity 13,\nan edge from node 12 to node 9 with capacity 13,\nan edge from node 12 to node 1 with capacity 1,\nan edge from node 12 to node 3 with capacity 2,\nan edge from node 12 to node 6 with capacity 12,\nan edge from node 13 to node 3 with capacity 14,\nan edge from node 13 to node 11 with capacity 9,\nWhat is the maximum flow from node 0 to node 11:"
            },
            {
                "from": "gpt",
                "value": "22."
            }
        ]
    },
    {
        "id": "flow-hard-graph816",
        "image": "data/flow/graph_visual/hard/graph816.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 9 with capacity 5,\nan edge from node 0 to node 7 with capacity 9,\nan edge from node 0 to node 2 with capacity 4,\nan edge from node 0 to node 5 with capacity 4,\nan edge from node 1 to node 3 with capacity 12,\nan edge from node 1 to node 16 with capacity 20,\nan edge from node 1 to node 7 with capacity 2,\nan edge from node 2 to node 9 with capacity 16,\nan edge from node 2 to node 14 with capacity 15,\nan edge from node 2 to node 1 with capacity 19,\nan edge from node 2 to node 11 with capacity 8,\nan edge from node 3 to node 14 with capacity 17,\nan edge from node 3 to node 6 with capacity 11,\nan edge from node 3 to node 15 with capacity 18,\nan edge from node 4 to node 9 with capacity 1,\nan edge from node 4 to node 6 with capacity 15,\nan edge from node 4 to node 12 with capacity 19,\nan edge from node 4 to node 2 with capacity 14,\nan edge from node 4 to node 8 with capacity 12,\nan edge from node 5 to node 9 with capacity 2,\nan edge from node 5 to node 6 with capacity 4,\nan edge from node 5 to node 13 with capacity 9,\nan edge from node 5 to node 1 with capacity 20,\nan edge from node 5 to node 4 with capacity 14,\nan edge from node 5 to node 15 with capacity 6,\nan edge from node 6 to node 9 with capacity 6,\nan edge from node 6 to node 3 with capacity 3,\nan edge from node 6 to node 1 with capacity 14,\nan edge from node 6 to node 8 with capacity 18,\nan edge from node 6 to node 5 with capacity 5,\nan edge from node 7 to node 14 with capacity 6,\nan edge from node 7 to node 5 with capacity 11,\nan edge from node 8 to node 0 with capacity 7,\nan edge from node 8 to node 16 with capacity 19,\nan edge from node 8 to node 12 with capacity 20,\nan edge from node 9 to node 3 with capacity 12,\nan edge from node 9 to node 12 with capacity 16,\nan edge from node 10 to node 3 with capacity 18,\nan edge from node 10 to node 16 with capacity 20,\nan edge from node 11 to node 6 with capacity 15,\nan edge from node 11 to node 0 with capacity 16,\nan edge from node 11 to node 8 with capacity 17,\nan edge from node 12 to node 9 with capacity 19,\nan edge from node 12 to node 14 with capacity 12,\nan edge from node 12 to node 0 with capacity 14,\nan edge from node 12 to node 13 with capacity 12,\nan edge from node 12 to node 1 with capacity 6,\nan edge from node 12 to node 7 with capacity 13,\nan edge from node 12 to node 2 with capacity 14,\nan edge from node 12 to node 8 with capacity 13,\nan edge from node 12 to node 15 with capacity 13,\nan edge from node 13 to node 14 with capacity 14,\nan edge from node 13 to node 1 with capacity 1,\nan edge from node 13 to node 2 with capacity 13,\nan edge from node 13 to node 5 with capacity 1,\nan edge from node 14 to node 0 with capacity 7,\nan edge from node 14 to node 13 with capacity 15,\nan edge from node 14 to node 16 with capacity 20,\nan edge from node 14 to node 5 with capacity 7,\nan edge from node 15 to node 12 with capacity 14,\nan edge from node 15 to node 2 with capacity 6,\nan edge from node 15 to node 8 with capacity 8,\nan edge from node 16 to node 10 with capacity 17,\nan edge from node 16 to node 1 with capacity 19,\nan edge from node 16 to node 4 with capacity 15,\nan edge from node 16 to node 11 with capacity 6,\nan edge from node 16 to node 7 with capacity 5,\nWhat is the maximum flow from node 11 to node 4:"
            },
            {
                "from": "gpt",
                "value": "29."
            }
        ]
    },
    {
        "id": "flow-hard-graph990",
        "image": "data/flow/graph_visual/hard/graph990.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 16 with capacity 15,\nan edge from node 0 to node 6 with capacity 5,\nan edge from node 0 to node 5 with capacity 18,\nan edge from node 0 to node 7 with capacity 17,\nan edge from node 0 to node 13 with capacity 11,\nan edge from node 0 to node 11 with capacity 13,\nan edge from node 1 to node 17 with capacity 8,\nan edge from node 1 to node 13 with capacity 9,\nan edge from node 1 to node 4 with capacity 7,\nan edge from node 1 to node 11 with capacity 13,\nan edge from node 2 to node 16 with capacity 18,\nan edge from node 2 to node 6 with capacity 4,\nan edge from node 2 to node 5 with capacity 18,\nan edge from node 3 to node 15 with capacity 16,\nan edge from node 3 to node 5 with capacity 17,\nan edge from node 3 to node 0 with capacity 11,\nan edge from node 4 to node 15 with capacity 17,\nan edge from node 4 to node 16 with capacity 16,\nan edge from node 4 to node 7 with capacity 20,\nan edge from node 4 to node 14 with capacity 3,\nan edge from node 4 to node 18 with capacity 2,\nan edge from node 4 to node 3 with capacity 9,\nan edge from node 5 to node 18 with capacity 11,\nan edge from node 6 to node 15 with capacity 15,\nan edge from node 6 to node 7 with capacity 1,\nan edge from node 7 to node 16 with capacity 10,\nan edge from node 7 to node 6 with capacity 9,\nan edge from node 7 to node 10 with capacity 7,\nan edge from node 7 to node 3 with capacity 16,\nan edge from node 7 to node 12 with capacity 1,\nan edge from node 7 to node 9 with capacity 13,\nan edge from node 7 to node 1 with capacity 5,\nan edge from node 8 to node 10 with capacity 7,\nan edge from node 8 to node 4 with capacity 16,\nan edge from node 9 to node 13 with capacity 11,\nan edge from node 9 to node 11 with capacity 17,\nan edge from node 9 to node 12 with capacity 16,\nan edge from node 9 to node 1 with capacity 6,\nan edge from node 10 to node 2 with capacity 15,\nan edge from node 10 to node 13 with capacity 5,\nan edge from node 10 to node 0 with capacity 6,\nan edge from node 11 to node 17 with capacity 15,\nan edge from node 11 to node 7 with capacity 5,\nan edge from node 11 to node 14 with capacity 16,\nan edge from node 11 to node 9 with capacity 14,\nan edge from node 11 to node 0 with capacity 18,\nan edge from node 12 to node 5 with capacity 20,\nan edge from node 12 to node 11 with capacity 6,\nan edge from node 12 to node 8 with capacity 20,\nan edge from node 12 to node 1 with capacity 16,\nan edge from node 13 to node 15 with capacity 14,\nan edge from node 13 to node 7 with capacity 15,\nan edge from node 13 to node 8 with capacity 20,\nan edge from node 13 to node 3 with capacity 8,\nan edge from node 14 to node 1 with capacity 14,\nan edge from node 15 to node 6 with capacity 18,\nan edge from node 15 to node 7 with capacity 11,\nan edge from node 15 to node 0 with capacity 6,\nan edge from node 16 to node 2 with capacity 17,\nan edge from node 16 to node 5 with capacity 17,\nan edge from node 16 to node 4 with capacity 13,\nan edge from node 16 to node 12 with capacity 9,\nan edge from node 16 to node 9 with capacity 8,\nan edge from node 17 to node 2 with capacity 15,\nan edge from node 17 to node 3 with capacity 13,\nan edge from node 18 to node 15 with capacity 14,\nan edge from node 18 to node 13 with capacity 13,\nan edge from node 18 to node 3 with capacity 1,\nWhat is the maximum flow from node 11 to node 12:"
            },
            {
                "from": "gpt",
                "value": "26."
            }
        ]
    },
    {
        "id": "flow-hard-graph1064",
        "image": "data/flow/graph_visual/hard/graph1064.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 12 with capacity 16,\nan edge from node 0 to node 9 with capacity 7,\nan edge from node 0 to node 8 with capacity 7,\nan edge from node 0 to node 5 with capacity 11,\nan edge from node 0 to node 4 with capacity 6,\nan edge from node 1 to node 2 with capacity 16,\nan edge from node 1 to node 13 with capacity 11,\nan edge from node 1 to node 3 with capacity 18,\nan edge from node 1 to node 16 with capacity 20,\nan edge from node 1 to node 7 with capacity 16,\nan edge from node 1 to node 18 with capacity 8,\nan edge from node 2 to node 12 with capacity 8,\nan edge from node 2 to node 13 with capacity 12,\nan edge from node 2 to node 3 with capacity 15,\nan edge from node 2 to node 8 with capacity 7,\nan edge from node 2 to node 1 with capacity 6,\nan edge from node 2 to node 7 with capacity 8,\nan edge from node 2 to node 14 with capacity 8,\nan edge from node 3 to node 17 with capacity 2,\nan edge from node 3 to node 16 with capacity 16,\nan edge from node 3 to node 10 with capacity 6,\nan edge from node 4 to node 2 with capacity 1,\nan edge from node 4 to node 0 with capacity 19,\nan edge from node 5 to node 17 with capacity 6,\nan edge from node 5 to node 12 with capacity 16,\nan edge from node 5 to node 8 with capacity 1,\nan edge from node 6 to node 17 with capacity 4,\nan edge from node 6 to node 2 with capacity 7,\nan edge from node 6 to node 12 with capacity 16,\nan edge from node 6 to node 15 with capacity 18,\nan edge from node 6 to node 3 with capacity 12,\nan edge from node 6 to node 0 with capacity 10,\nan edge from node 6 to node 5 with capacity 9,\nan edge from node 6 to node 7 with capacity 7,\nan edge from node 7 to node 8 with capacity 11,\nan edge from node 7 to node 14 with capacity 14,\nan edge from node 7 to node 4 with capacity 10,\nan edge from node 8 to node 17 with capacity 7,\nan edge from node 8 to node 2 with capacity 7,\nan edge from node 8 to node 15 with capacity 8,\nan edge from node 8 to node 16 with capacity 13,\nan edge from node 9 to node 12 with capacity 13,\nan edge from node 9 to node 3 with capacity 17,\nan edge from node 9 to node 5 with capacity 11,\nan edge from node 9 to node 7 with capacity 14,\nan edge from node 10 to node 17 with capacity 10,\nan edge from node 10 to node 11 with capacity 19,\nan edge from node 10 to node 0 with capacity 1,\nan edge from node 10 to node 8 with capacity 13,\nan edge from node 11 to node 6 with capacity 10,\nan edge from node 11 to node 17 with capacity 15,\nan edge from node 11 to node 12 with capacity 6,\nan edge from node 11 to node 0 with capacity 3,\nan edge from node 11 to node 4 with capacity 2,\nan edge from node 12 to node 3 with capacity 11,\nan edge from node 12 to node 0 with capacity 2,\nan edge from node 12 to node 5 with capacity 8,\nan edge from node 12 to node 16 with capacity 16,\nan edge from node 12 to node 4 with capacity 6,\nan edge from node 13 to node 12 with capacity 19,\nan edge from node 13 to node 15 with capacity 2,\nan edge from node 13 to node 0 with capacity 17,\nan edge from node 13 to node 16 with capacity 11,\nan edge from node 14 to node 11 with capacity 10,\nan edge from node 14 to node 13 with capacity 6,\nan edge from node 14 to node 15 with capacity 7,\nan edge from node 14 to node 1 with capacity 3,\nan edge from node 14 to node 16 with capacity 20,\nan edge from node 14 to node 18 with capacity 9,\nan edge from node 14 to node 10 with capacity 8,\nan edge from node 15 to node 2 with capacity 15,\nan edge from node 15 to node 9 with capacity 17,\nan edge from node 15 to node 0 with capacity 6,\nan edge from node 15 to node 1 with capacity 15,\nan edge from node 15 to node 5 with capacity 13,\nan edge from node 15 to node 14 with capacity 5,\nan edge from node 16 to node 2 with capacity 9,\nan edge from node 16 to node 18 with capacity 12,\nan edge from node 16 to node 14 with capacity 10,\nan edge from node 17 to node 6 with capacity 19,\nan edge from node 17 to node 2 with capacity 9,\nan edge from node 17 to node 15 with capacity 12,\nan edge from node 17 to node 3 with capacity 16,\nan edge from node 17 to node 16 with capacity 18,\nan edge from node 17 to node 7 with capacity 7,\nan edge from node 17 to node 10 with capacity 14,\nan edge from node 18 to node 6 with capacity 5,\nan edge from node 18 to node 17 with capacity 7,\nan edge from node 18 to node 9 with capacity 14,\nan edge from node 18 to node 15 with capacity 11,\nan edge from node 18 to node 3 with capacity 12,\nan edge from node 18 to node 0 with capacity 16,\nan edge from node 18 to node 1 with capacity 5,\nan edge from node 18 to node 7 with capacity 2,\nan edge from node 18 to node 14 with capacity 2,\nan edge from node 18 to node 10 with capacity 20,\nan edge from node 18 to node 4 with capacity 5,\nWhat is the maximum flow from node 9 to node 18:"
            },
            {
                "from": "gpt",
                "value": "29."
            }
        ]
    },
    {
        "id": "flow-hard-graph1150",
        "image": "data/flow/graph_visual/hard/graph1150.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 7 with capacity 16,\nan edge from node 0 to node 10 with capacity 11,\nan edge from node 0 to node 1 with capacity 3,\nan edge from node 0 to node 15 with capacity 3,\nan edge from node 0 to node 2 with capacity 1,\nan edge from node 1 to node 8 with capacity 11,\nan edge from node 1 to node 10 with capacity 15,\nan edge from node 1 to node 15 with capacity 5,\nan edge from node 1 to node 14 with capacity 17,\nan edge from node 1 to node 17 with capacity 9,\nan edge from node 2 to node 7 with capacity 11,\nan edge from node 2 to node 10 with capacity 6,\nan edge from node 2 to node 1 with capacity 13,\nan edge from node 2 to node 12 with capacity 4,\nan edge from node 3 to node 7 with capacity 11,\nan edge from node 3 to node 8 with capacity 18,\nan edge from node 3 to node 11 with capacity 11,\nan edge from node 3 to node 1 with capacity 12,\nan edge from node 4 to node 7 with capacity 10,\nan edge from node 4 to node 16 with capacity 3,\nan edge from node 4 to node 13 with capacity 6,\nan edge from node 4 to node 10 with capacity 5,\nan edge from node 4 to node 19 with capacity 9,\nan edge from node 4 to node 1 with capacity 10,\nan edge from node 4 to node 14 with capacity 15,\nan edge from node 4 to node 5 with capacity 1,\nan edge from node 5 to node 10 with capacity 5,\nan edge from node 5 to node 19 with capacity 6,\nan edge from node 5 to node 1 with capacity 12,\nan edge from node 5 to node 12 with capacity 14,\nan edge from node 6 to node 7 with capacity 18,\nan edge from node 6 to node 8 with capacity 14,\nan edge from node 6 to node 16 with capacity 16,\nan edge from node 6 to node 10 with capacity 18,\nan edge from node 6 to node 1 with capacity 5,\nan edge from node 6 to node 14 with capacity 18,\nan edge from node 6 to node 9 with capacity 16,\nan edge from node 7 to node 10 with capacity 17,\nan edge from node 7 to node 11 with capacity 2,\nan edge from node 7 to node 1 with capacity 15,\nan edge from node 7 to node 18 with capacity 5,\nan edge from node 8 to node 11 with capacity 3,\nan edge from node 8 to node 6 with capacity 2,\nan edge from node 8 to node 2 with capacity 10,\nan edge from node 8 to node 17 with capacity 9,\nan edge from node 8 to node 12 with capacity 9,\nan edge from node 9 to node 0 with capacity 15,\nan edge from node 9 to node 11 with capacity 1,\nan edge from node 9 to node 4 with capacity 20,\nan edge from node 9 to node 5 with capacity 16,\nan edge from node 9 to node 17 with capacity 3,\nan edge from node 9 to node 12 with capacity 7,\nan edge from node 10 to node 7 with capacity 10,\nan edge from node 10 to node 4 with capacity 1,\nan edge from node 10 to node 12 with capacity 9,\nan edge from node 11 to node 0 with capacity 8,\nan edge from node 11 to node 10 with capacity 20,\nan edge from node 11 to node 9 with capacity 1,\nan edge from node 11 to node 12 with capacity 3,\nan edge from node 12 to node 7 with capacity 19,\nan edge from node 12 to node 0 with capacity 12,\nan edge from node 12 to node 13 with capacity 8,\nan edge from node 12 to node 18 with capacity 11,\nan edge from node 13 to node 0 with capacity 13,\nan edge from node 13 to node 16 with capacity 7,\nan edge from node 13 to node 1 with capacity 17,\nan edge from node 13 to node 4 with capacity 15,\nan edge from node 13 to node 14 with capacity 4,\nan edge from node 13 to node 9 with capacity 14,\nan edge from node 13 to node 5 with capacity 5,\nan edge from node 13 to node 17 with capacity 5,\nan edge from node 13 to node 12 with capacity 20,\nan edge from node 14 to node 11 with capacity 19,\nan edge from node 14 to node 19 with capacity 19,\nan edge from node 14 to node 2 with capacity 7,\nan edge from node 14 to node 3 with capacity 16,\nan edge from node 14 to node 9 with capacity 12,\nan edge from node 15 to node 0 with capacity 6,\nan edge from node 15 to node 13 with capacity 1,\nan edge from node 15 to node 19 with capacity 10,\nan edge from node 15 to node 4 with capacity 19,\nan edge from node 15 to node 5 with capacity 1,\nan edge from node 16 to node 7 with capacity 4,\nan edge from node 16 to node 13 with capacity 5,\nan edge from node 16 to node 10 with capacity 12,\nan edge from node 16 to node 11 with capacity 19,\nan edge from node 16 to node 19 with capacity 7,\nan edge from node 16 to node 15 with capacity 12,\nan edge from node 16 to node 6 with capacity 9,\nan edge from node 16 to node 14 with capacity 14,\nan edge from node 16 to node 17 with capacity 2,\nan edge from node 17 to node 8 with capacity 12,\nan edge from node 17 to node 16 with capacity 15,\nan edge from node 17 to node 14 with capacity 20,\nan edge from node 18 to node 1 with capacity 15,\nan edge from node 18 to node 6 with capacity 4,\nan edge from node 18 to node 9 with capacity 17,\nan edge from node 19 to node 7 with capacity 2,\nan edge from node 19 to node 16 with capacity 10,\nan edge from node 19 to node 18 with capacity 2,\nan edge from node 19 to node 14 with capacity 1,\nan edge from node 19 to node 12 with capacity 18,\nWhat is the maximum flow from node 2 to node 14:"
            },
            {
                "from": "gpt",
                "value": "34."
            }
        ]
    },
    {
        "id": "flow-hard-graph815",
        "image": "data/flow/graph_visual/hard/graph815.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 17, and the edges are:\nan edge from node 0 to node 2 with capacity 18,\nan edge from node 0 to node 13 with capacity 20,\nan edge from node 0 to node 12 with capacity 5,\nan edge from node 1 to node 16 with capacity 15,\nan edge from node 1 to node 13 with capacity 13,\nan edge from node 2 to node 6 with capacity 8,\nan edge from node 2 to node 16 with capacity 15,\nan edge from node 2 to node 9 with capacity 12,\nan edge from node 2 to node 12 with capacity 13,\nan edge from node 3 to node 13 with capacity 19,\nan edge from node 3 to node 12 with capacity 11,\nan edge from node 3 to node 11 with capacity 9,\nan edge from node 4 to node 6 with capacity 10,\nan edge from node 4 to node 5 with capacity 16,\nan edge from node 4 to node 8 with capacity 16,\nan edge from node 4 to node 11 with capacity 19,\nan edge from node 5 to node 6 with capacity 4,\nan edge from node 5 to node 15 with capacity 6,\nan edge from node 6 to node 1 with capacity 12,\nan edge from node 6 to node 5 with capacity 19,\nan edge from node 6 to node 12 with capacity 7,\nan edge from node 6 to node 8 with capacity 6,\nan edge from node 7 to node 2 with capacity 18,\nan edge from node 7 to node 13 with capacity 20,\nan edge from node 8 to node 6 with capacity 15,\nan edge from node 8 to node 15 with capacity 14,\nan edge from node 8 to node 12 with capacity 9,\nan edge from node 9 to node 2 with capacity 13,\nan edge from node 9 to node 1 with capacity 1,\nan edge from node 9 to node 4 with capacity 10,\nan edge from node 9 to node 14 with capacity 6,\nan edge from node 10 to node 6 with capacity 4,\nan edge from node 10 to node 13 with capacity 17,\nan edge from node 10 to node 15 with capacity 12,\nan edge from node 10 to node 5 with capacity 3,\nan edge from node 10 to node 8 with capacity 16,\nan edge from node 11 to node 9 with capacity 19,\nan edge from node 12 to node 16 with capacity 3,\nan edge from node 12 to node 1 with capacity 4,\nan edge from node 12 to node 7 with capacity 18,\nan edge from node 12 to node 9 with capacity 15,\nan edge from node 12 to node 11 with capacity 1,\nan edge from node 13 to node 6 with capacity 9,\nan edge from node 13 to node 4 with capacity 20,\nan edge from node 13 to node 9 with capacity 17,\nan edge from node 13 to node 14 with capacity 4,\nan edge from node 14 to node 10 with capacity 3,\nan edge from node 14 to node 0 with capacity 2,\nan edge from node 14 to node 15 with capacity 18,\nan edge from node 14 to node 5 with capacity 13,\nan edge from node 15 to node 16 with capacity 8,\nan edge from node 15 to node 10 with capacity 15,\nan edge from node 15 to node 9 with capacity 4,\nan edge from node 15 to node 12 with capacity 19,\nan edge from node 15 to node 8 with capacity 20,\nan edge from node 16 to node 10 with capacity 6,\nan edge from node 16 to node 4 with capacity 8,\nWhat is the maximum flow from node 5 to node 2:"
            },
            {
                "from": "gpt",
                "value": "10."
            }
        ]
    },
    {
        "id": "flow-hard-graph1155",
        "image": "data/flow/graph_visual/hard/graph1155.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 7 with capacity 10,\nan edge from node 0 to node 3 with capacity 1,\nan edge from node 0 to node 1 with capacity 17,\nan edge from node 0 to node 15 with capacity 7,\nan edge from node 0 to node 4 with capacity 18,\nan edge from node 1 to node 7 with capacity 19,\nan edge from node 1 to node 18 with capacity 6,\nan edge from node 1 to node 15 with capacity 1,\nan edge from node 1 to node 5 with capacity 4,\nan edge from node 2 to node 7 with capacity 8,\nan edge from node 2 to node 18 with capacity 19,\nan edge from node 2 to node 19 with capacity 14,\nan edge from node 2 to node 8 with capacity 18,\nan edge from node 2 to node 0 with capacity 8,\nan edge from node 3 to node 13 with capacity 5,\nan edge from node 3 to node 7 with capacity 12,\nan edge from node 3 to node 19 with capacity 6,\nan edge from node 3 to node 14 with capacity 7,\nan edge from node 3 to node 9 with capacity 8,\nan edge from node 3 to node 2 with capacity 11,\nan edge from node 4 to node 10 with capacity 15,\nan edge from node 4 to node 8 with capacity 19,\nan edge from node 4 to node 6 with capacity 17,\nan edge from node 5 to node 7 with capacity 19,\nan edge from node 5 to node 3 with capacity 19,\nan edge from node 5 to node 19 with capacity 9,\nan edge from node 5 to node 8 with capacity 4,\nan edge from node 5 to node 6 with capacity 5,\nan edge from node 5 to node 11 with capacity 14,\nan edge from node 5 to node 4 with capacity 7,\nan edge from node 6 to node 15 with capacity 3,\nan edge from node 6 to node 5 with capacity 4,\nan edge from node 6 to node 10 with capacity 14,\nan edge from node 6 to node 4 with capacity 4,\nan edge from node 7 to node 13 with capacity 9,\nan edge from node 7 to node 10 with capacity 11,\nan edge from node 7 to node 17 with capacity 8,\nan edge from node 7 to node 0 with capacity 13,\nan edge from node 7 to node 2 with capacity 9,\nan edge from node 7 to node 11 with capacity 7,\nan edge from node 8 to node 3 with capacity 3,\nan edge from node 8 to node 10 with capacity 5,\nan edge from node 8 to node 2 with capacity 18,\nan edge from node 9 to node 12 with capacity 18,\nan edge from node 9 to node 5 with capacity 20,\nan edge from node 9 to node 2 with capacity 8,\nan edge from node 10 to node 1 with capacity 5,\nan edge from node 10 to node 15 with capacity 6,\nan edge from node 10 to node 17 with capacity 5,\nan edge from node 10 to node 8 with capacity 2,\nan edge from node 10 to node 0 with capacity 13,\nan edge from node 11 to node 18 with capacity 19,\nan edge from node 11 to node 9 with capacity 16,\nan edge from node 11 to node 10 with capacity 9,\nan edge from node 11 to node 6 with capacity 11,\nan edge from node 12 to node 1 with capacity 18,\nan edge from node 12 to node 0 with capacity 11,\nan edge from node 12 to node 6 with capacity 8,\nan edge from node 12 to node 2 with capacity 11,\nan edge from node 13 to node 12 with capacity 13,\nan edge from node 13 to node 15 with capacity 19,\nan edge from node 13 to node 5 with capacity 19,\nan edge from node 13 to node 14 with capacity 4,\nan edge from node 13 to node 16 with capacity 6,\nan edge from node 13 to node 8 with capacity 16,\nan edge from node 13 to node 6 with capacity 12,\nan edge from node 13 to node 11 with capacity 18,\nan edge from node 14 to node 13 with capacity 18,\nan edge from node 14 to node 7 with capacity 12,\nan edge from node 14 to node 9 with capacity 17,\nan edge from node 14 to node 8 with capacity 2,\nan edge from node 14 to node 2 with capacity 6,\nan edge from node 14 to node 4 with capacity 11,\nan edge from node 15 to node 9 with capacity 1,\nan edge from node 15 to node 16 with capacity 8,\nan edge from node 15 to node 8 with capacity 9,\nan edge from node 15 to node 0 with capacity 14,\nan edge from node 16 to node 13 with capacity 20,\nan edge from node 16 to node 18 with capacity 14,\nan edge from node 16 to node 19 with capacity 12,\nan edge from node 16 to node 15 with capacity 4,\nan edge from node 16 to node 14 with capacity 17,\nan edge from node 16 to node 9 with capacity 16,\nan edge from node 16 to node 11 with capacity 2,\nan edge from node 16 to node 4 with capacity 19,\nan edge from node 17 to node 18 with capacity 17,\nan edge from node 17 to node 3 with capacity 11,\nan edge from node 17 to node 12 with capacity 2,\nan edge from node 17 to node 9 with capacity 6,\nan edge from node 17 to node 2 with capacity 7,\nan edge from node 17 to node 4 with capacity 4,\nan edge from node 18 to node 1 with capacity 15,\nan edge from node 18 to node 16 with capacity 7,\nan edge from node 18 to node 8 with capacity 5,\nan edge from node 19 to node 18 with capacity 10,\nan edge from node 19 to node 5 with capacity 9,\nan edge from node 19 to node 14 with capacity 8,\nan edge from node 19 to node 17 with capacity 10,\nan edge from node 19 to node 16 with capacity 15,\nan edge from node 19 to node 4 with capacity 13,\nWhat is the maximum flow from node 18 to node 13:"
            },
            {
                "from": "gpt",
                "value": "27."
            }
        ]
    },
    {
        "id": "flow-hard-graph220",
        "image": "data/flow/graph_visual/hard/graph220.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 7 with capacity 1,\nan edge from node 0 to node 1 with capacity 18,\nan edge from node 0 to node 5 with capacity 2,\nan edge from node 0 to node 3 with capacity 13,\nan edge from node 1 to node 7 with capacity 18,\nan edge from node 1 to node 4 with capacity 9,\nan edge from node 1 to node 10 with capacity 4,\nan edge from node 2 to node 6 with capacity 4,\nan edge from node 4 to node 8 with capacity 4,\nan edge from node 4 to node 2 with capacity 2,\nan edge from node 4 to node 5 with capacity 1,\nan edge from node 5 to node 0 with capacity 12,\nan edge from node 5 to node 1 with capacity 19,\nan edge from node 5 to node 10 with capacity 16,\nan edge from node 5 to node 3 with capacity 5,\nan edge from node 6 to node 8 with capacity 15,\nan edge from node 6 to node 3 with capacity 8,\nan edge from node 7 to node 2 with capacity 20,\nan edge from node 7 to node 5 with capacity 15,\nan edge from node 9 to node 1 with capacity 13,\nan edge from node 10 to node 8 with capacity 12,\nan edge from node 10 to node 2 with capacity 8,\nan edge from node 10 to node 5 with capacity 11,\nan edge from node 11 to node 2 with capacity 9,\nan edge from node 11 to node 1 with capacity 10,\nan edge from node 11 to node 10 with capacity 4,\nan edge from node 11 to node 3 with capacity 3,\nWhat is the maximum flow from node 11 to node 8:"
            },
            {
                "from": "gpt",
                "value": "18."
            }
        ]
    },
    {
        "id": "flow-hard-graph899",
        "image": "data/flow/graph_visual/hard/graph899.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 1 with capacity 2,\nan edge from node 0 to node 13 with capacity 5,\nan edge from node 0 to node 12 with capacity 12,\nan edge from node 0 to node 10 with capacity 2,\nan edge from node 0 to node 11 with capacity 7,\nan edge from node 1 to node 8 with capacity 9,\nan edge from node 1 to node 0 with capacity 8,\nan edge from node 2 to node 8 with capacity 3,\nan edge from node 2 to node 13 with capacity 11,\nan edge from node 3 to node 1 with capacity 10,\nan edge from node 3 to node 12 with capacity 8,\nan edge from node 3 to node 6 with capacity 16,\nan edge from node 3 to node 17 with capacity 16,\nan edge from node 3 to node 5 with capacity 16,\nan edge from node 3 to node 9 with capacity 3,\nan edge from node 4 to node 16 with capacity 12,\nan edge from node 4 to node 3 with capacity 7,\nan edge from node 4 to node 13 with capacity 7,\nan edge from node 4 to node 12 with capacity 8,\nan edge from node 4 to node 7 with capacity 1,\nan edge from node 4 to node 11 with capacity 20,\nan edge from node 5 to node 14 with capacity 5,\nan edge from node 5 to node 8 with capacity 17,\nan edge from node 5 to node 12 with capacity 2,\nan edge from node 5 to node 2 with capacity 9,\nan edge from node 5 to node 4 with capacity 1,\nan edge from node 5 to node 9 with capacity 6,\nan edge from node 6 to node 16 with capacity 17,\nan edge from node 6 to node 1 with capacity 3,\nan edge from node 6 to node 17 with capacity 4,\nan edge from node 6 to node 11 with capacity 10,\nan edge from node 7 to node 8 with capacity 16,\nan edge from node 7 to node 6 with capacity 15,\nan edge from node 7 to node 17 with capacity 19,\nan edge from node 7 to node 10 with capacity 6,\nan edge from node 7 to node 9 with capacity 6,\nan edge from node 8 to node 14 with capacity 1,\nan edge from node 8 to node 7 with capacity 19,\nan edge from node 8 to node 17 with capacity 6,\nan edge from node 8 to node 5 with capacity 4,\nan edge from node 8 to node 0 with capacity 16,\nan edge from node 9 to node 14 with capacity 13,\nan edge from node 9 to node 17 with capacity 12,\nan edge from node 10 to node 12 with capacity 11,\nan edge from node 10 to node 6 with capacity 14,\nan edge from node 10 to node 17 with capacity 15,\nan edge from node 10 to node 11 with capacity 1,\nan edge from node 11 to node 1 with capacity 13,\nan edge from node 11 to node 8 with capacity 5,\nan edge from node 11 to node 2 with capacity 4,\nan edge from node 11 to node 5 with capacity 19,\nan edge from node 11 to node 10 with capacity 12,\nan edge from node 12 to node 14 with capacity 1,\nan edge from node 12 to node 3 with capacity 18,\nan edge from node 12 to node 7 with capacity 3,\nan edge from node 12 to node 0 with capacity 12,\nan edge from node 12 to node 9 with capacity 1,\nan edge from node 13 to node 1 with capacity 12,\nan edge from node 13 to node 10 with capacity 18,\nan edge from node 14 to node 3 with capacity 4,\nan edge from node 14 to node 6 with capacity 10,\nan edge from node 15 to node 14 with capacity 17,\nan edge from node 15 to node 8 with capacity 9,\nan edge from node 15 to node 3 with capacity 17,\nan edge from node 15 to node 12 with capacity 20,\nan edge from node 15 to node 6 with capacity 11,\nan edge from node 15 to node 2 with capacity 6,\nan edge from node 15 to node 11 with capacity 19,\nan edge from node 16 to node 1 with capacity 2,\nan edge from node 16 to node 15 with capacity 18,\nan edge from node 16 to node 2 with capacity 13,\nan edge from node 16 to node 4 with capacity 20,\nan edge from node 17 to node 14 with capacity 1,\nan edge from node 17 to node 1 with capacity 4,\nan edge from node 17 to node 5 with capacity 17,\nan edge from node 17 to node 11 with capacity 8,\nWhat is the maximum flow from node 13 to node 2:"
            },
            {
                "from": "gpt",
                "value": "30."
            }
        ]
    },
    {
        "id": "flow-hard-graph1196",
        "image": "data/flow/graph_visual/hard/graph1196.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 9 with capacity 10,\nan edge from node 0 to node 11 with capacity 2,\nan edge from node 0 to node 1 with capacity 2,\nan edge from node 0 to node 8 with capacity 9,\nan edge from node 1 to node 13 with capacity 12,\nan edge from node 1 to node 19 with capacity 4,\nan edge from node 2 to node 6 with capacity 12,\nan edge from node 3 to node 14 with capacity 19,\nan edge from node 3 to node 17 with capacity 4,\nan edge from node 4 to node 14 with capacity 12,\nan edge from node 4 to node 3 with capacity 16,\nan edge from node 4 to node 5 with capacity 2,\nan edge from node 4 to node 9 with capacity 8,\nan edge from node 4 to node 6 with capacity 13,\nan edge from node 4 to node 17 with capacity 20,\nan edge from node 4 to node 2 with capacity 20,\nan edge from node 4 to node 16 with capacity 15,\nan edge from node 5 to node 14 with capacity 19,\nan edge from node 5 to node 9 with capacity 18,\nan edge from node 5 to node 6 with capacity 10,\nan edge from node 5 to node 8 with capacity 4,\nan edge from node 5 to node 10 with capacity 17,\nan edge from node 6 to node 18 with capacity 13,\nan edge from node 6 to node 4 with capacity 15,\nan edge from node 6 to node 10 with capacity 20,\nan edge from node 7 to node 18 with capacity 9,\nan edge from node 7 to node 14 with capacity 10,\nan edge from node 7 to node 13 with capacity 5,\nan edge from node 7 to node 9 with capacity 15,\nan edge from node 7 to node 2 with capacity 6,\nan edge from node 8 to node 14 with capacity 6,\nan edge from node 8 to node 5 with capacity 12,\nan edge from node 8 to node 4 with capacity 19,\nan edge from node 9 to node 7 with capacity 1,\nan edge from node 9 to node 19 with capacity 16,\nan edge from node 9 to node 1 with capacity 12,\nan edge from node 9 to node 16 with capacity 4,\nan edge from node 10 to node 5 with capacity 6,\nan edge from node 10 to node 13 with capacity 3,\nan edge from node 10 to node 15 with capacity 1,\nan edge from node 10 to node 19 with capacity 6,\nan edge from node 10 to node 11 with capacity 11,\nan edge from node 10 to node 8 with capacity 19,\nan edge from node 11 to node 0 with capacity 8,\nan edge from node 11 to node 3 with capacity 18,\nan edge from node 11 to node 13 with capacity 11,\nan edge from node 11 to node 9 with capacity 12,\nan edge from node 11 to node 8 with capacity 9,\nan edge from node 11 to node 16 with capacity 20,\nan edge from node 12 to node 0 with capacity 16,\nan edge from node 12 to node 17 with capacity 11,\nan edge from node 13 to node 0 with capacity 17,\nan edge from node 13 to node 3 with capacity 3,\nan edge from node 13 to node 9 with capacity 4,\nan edge from node 13 to node 1 with capacity 4,\nan edge from node 14 to node 4 with capacity 12,\nan edge from node 15 to node 18 with capacity 4,\nan edge from node 15 to node 12 with capacity 10,\nan edge from node 15 to node 3 with capacity 1,\nan edge from node 15 to node 9 with capacity 17,\nan edge from node 15 to node 8 with capacity 19,\nan edge from node 16 to node 18 with capacity 1,\nan edge from node 16 to node 17 with capacity 4,\nan edge from node 16 to node 15 with capacity 14,\nan edge from node 16 to node 11 with capacity 10,\nan edge from node 16 to node 8 with capacity 8,\nan edge from node 17 to node 5 with capacity 7,\nan edge from node 17 to node 13 with capacity 20,\nan edge from node 17 to node 19 with capacity 9,\nan edge from node 17 to node 16 with capacity 15,\nan edge from node 18 to node 0 with capacity 13,\nan edge from node 18 to node 12 with capacity 13,\nan edge from node 18 to node 13 with capacity 10,\nan edge from node 18 to node 4 with capacity 2,\nan edge from node 18 to node 8 with capacity 12,\nan edge from node 18 to node 10 with capacity 11,\nan edge from node 18 to node 2 with capacity 8,\nan edge from node 19 to node 18 with capacity 1,\nan edge from node 19 to node 14 with capacity 13,\nan edge from node 19 to node 3 with capacity 7,\nan edge from node 19 to node 6 with capacity 9,\nan edge from node 19 to node 17 with capacity 9,\nan edge from node 19 to node 11 with capacity 2,\nan edge from node 19 to node 4 with capacity 13,\nan edge from node 19 to node 10 with capacity 16,\nWhat is the maximum flow from node 9 to node 2:"
            },
            {
                "from": "gpt",
                "value": "29."
            }
        ]
    },
    {
        "id": "flow-hard-graph566",
        "image": "data/flow/graph_visual/hard/graph566.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 9 with capacity 11,\nan edge from node 0 to node 1 with capacity 13,\nan edge from node 0 to node 3 with capacity 2,\nan edge from node 0 to node 13 with capacity 1,\nan edge from node 1 to node 0 with capacity 3,\nan edge from node 2 to node 7 with capacity 9,\nan edge from node 2 to node 4 with capacity 7,\nan edge from node 2 to node 9 with capacity 13,\nan edge from node 2 to node 11 with capacity 4,\nan edge from node 3 to node 9 with capacity 19,\nan edge from node 3 to node 1 with capacity 19,\nan edge from node 3 to node 11 with capacity 20,\nan edge from node 4 to node 7 with capacity 2,\nan edge from node 4 to node 8 with capacity 16,\nan edge from node 5 to node 8 with capacity 20,\nan edge from node 5 to node 4 with capacity 11,\nan edge from node 5 to node 14 with capacity 19,\nan edge from node 5 to node 2 with capacity 19,\nan edge from node 6 to node 1 with capacity 1,\nan edge from node 7 to node 4 with capacity 10,\nan edge from node 7 to node 12 with capacity 19,\nan edge from node 7 to node 9 with capacity 14,\nan edge from node 7 to node 13 with capacity 6,\nan edge from node 8 to node 12 with capacity 8,\nan edge from node 8 to node 9 with capacity 8,\nan edge from node 8 to node 11 with capacity 13,\nan edge from node 9 to node 6 with capacity 14,\nan edge from node 9 to node 5 with capacity 8,\nan edge from node 9 to node 0 with capacity 10,\nan edge from node 10 to node 6 with capacity 2,\nan edge from node 10 to node 12 with capacity 12,\nan edge from node 10 to node 3 with capacity 18,\nan edge from node 10 to node 11 with capacity 18,\nan edge from node 11 to node 8 with capacity 11,\nan edge from node 11 to node 4 with capacity 15,\nan edge from node 11 to node 6 with capacity 20,\nan edge from node 11 to node 12 with capacity 9,\nan edge from node 11 to node 9 with capacity 6,\nan edge from node 11 to node 0 with capacity 4,\nan edge from node 11 to node 10 with capacity 1,\nan edge from node 12 to node 8 with capacity 7,\nan edge from node 12 to node 0 with capacity 9,\nan edge from node 12 to node 10 with capacity 9,\nan edge from node 13 to node 8 with capacity 1,\nan edge from node 13 to node 6 with capacity 3,\nan edge from node 13 to node 12 with capacity 10,\nan edge from node 13 to node 5 with capacity 20,\nan edge from node 13 to node 3 with capacity 8,\nan edge from node 14 to node 7 with capacity 11,\nan edge from node 14 to node 8 with capacity 15,\nan edge from node 14 to node 12 with capacity 5,\nan edge from node 14 to node 0 with capacity 2,\nan edge from node 14 to node 13 with capacity 2,\nWhat is the maximum flow from node 11 to node 13:"
            },
            {
                "from": "gpt",
                "value": "9."
            }
        ]
    },
    {
        "id": "flow-hard-graph104",
        "image": "data/flow/graph_visual/hard/graph104.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 5 with capacity 16,\nan edge from node 0 to node 1 with capacity 20,\nan edge from node 0 to node 7 with capacity 6,\nan edge from node 0 to node 3 with capacity 2,\nan edge from node 1 to node 6 with capacity 19,\nan edge from node 2 to node 5 with capacity 12,\nan edge from node 2 to node 9 with capacity 11,\nan edge from node 2 to node 7 with capacity 6,\nan edge from node 2 to node 10 with capacity 16,\nan edge from node 3 to node 4 with capacity 11,\nan edge from node 3 to node 1 with capacity 7,\nan edge from node 3 to node 9 with capacity 11,\nan edge from node 3 to node 7 with capacity 17,\nan edge from node 3 to node 10 with capacity 18,\nan edge from node 3 to node 8 with capacity 13,\nan edge from node 4 to node 0 with capacity 17,\nan edge from node 4 to node 1 with capacity 2,\nan edge from node 4 to node 7 with capacity 7,\nan edge from node 5 to node 4 with capacity 3,\nan edge from node 5 to node 2 with capacity 9,\nan edge from node 5 to node 6 with capacity 4,\nan edge from node 6 to node 5 with capacity 4,\nan edge from node 6 to node 2 with capacity 2,\nan edge from node 6 to node 8 with capacity 17,\nan edge from node 7 to node 0 with capacity 18,\nan edge from node 7 to node 2 with capacity 20,\nan edge from node 7 to node 9 with capacity 15,\nan edge from node 8 to node 2 with capacity 2,\nan edge from node 9 to node 0 with capacity 15,\nan edge from node 9 to node 4 with capacity 1,\nan edge from node 9 to node 3 with capacity 1,\nan edge from node 10 to node 8 with capacity 9,\nWhat is the maximum flow from node 6 to node 10:"
            },
            {
                "from": "gpt",
                "value": "8."
            }
        ]
    },
    {
        "id": "flow-hard-graph364",
        "image": "data/flow/graph_visual/hard/graph364.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 6 with capacity 2,\nan edge from node 1 to node 3 with capacity 2,\nan edge from node 1 to node 6 with capacity 6,\nan edge from node 1 to node 11 with capacity 17,\nan edge from node 1 to node 7 with capacity 16,\nan edge from node 1 to node 8 with capacity 13,\nan edge from node 1 to node 5 with capacity 12,\nan edge from node 2 to node 4 with capacity 1,\nan edge from node 2 to node 0 with capacity 16,\nan edge from node 2 to node 9 with capacity 7,\nan edge from node 2 to node 6 with capacity 10,\nan edge from node 2 to node 7 with capacity 13,\nan edge from node 2 to node 13 with capacity 15,\nan edge from node 2 to node 10 with capacity 11,\nan edge from node 2 to node 8 with capacity 17,\nan edge from node 2 to node 5 with capacity 7,\nan edge from node 3 to node 4 with capacity 16,\nan edge from node 3 to node 0 with capacity 19,\nan edge from node 3 to node 7 with capacity 2,\nan edge from node 3 to node 1 with capacity 15,\nan edge from node 4 to node 3 with capacity 3,\nan edge from node 4 to node 9 with capacity 12,\nan edge from node 4 to node 13 with capacity 8,\nan edge from node 5 to node 12 with capacity 9,\nan edge from node 5 to node 3 with capacity 6,\nan edge from node 5 to node 2 with capacity 12,\nan edge from node 5 to node 4 with capacity 11,\nan edge from node 5 to node 8 with capacity 2,\nan edge from node 7 to node 3 with capacity 16,\nan edge from node 7 to node 0 with capacity 10,\nan edge from node 7 to node 13 with capacity 10,\nan edge from node 7 to node 8 with capacity 3,\nan edge from node 7 to node 1 with capacity 17,\nan edge from node 8 to node 2 with capacity 20,\nan edge from node 8 to node 0 with capacity 20,\nan edge from node 8 to node 6 with capacity 5,\nan edge from node 8 to node 11 with capacity 8,\nan edge from node 9 to node 11 with capacity 2,\nan edge from node 9 to node 8 with capacity 13,\nan edge from node 10 to node 6 with capacity 7,\nan edge from node 11 to node 9 with capacity 11,\nan edge from node 11 to node 7 with capacity 20,\nan edge from node 11 to node 1 with capacity 10,\nan edge from node 12 to node 4 with capacity 16,\nan edge from node 12 to node 0 with capacity 9,\nan edge from node 12 to node 9 with capacity 16,\nan edge from node 12 to node 6 with capacity 9,\nan edge from node 12 to node 7 with capacity 1,\nan edge from node 12 to node 10 with capacity 19,\nan edge from node 13 to node 9 with capacity 4,\nan edge from node 13 to node 11 with capacity 8,\nan edge from node 13 to node 8 with capacity 19,\nan edge from node 13 to node 5 with capacity 12,\nan edge from node 13 to node 1 with capacity 2,\nWhat is the maximum flow from node 1 to node 6:"
            },
            {
                "from": "gpt",
                "value": "39."
            }
        ]
    },
    {
        "id": "flow-hard-graph70",
        "image": "data/flow/graph_visual/hard/graph70.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 6 with capacity 16,\nan edge from node 0 to node 4 with capacity 14,\nan edge from node 1 to node 4 with capacity 3,\nan edge from node 2 to node 6 with capacity 18,\nan edge from node 2 to node 7 with capacity 9,\nan edge from node 2 to node 4 with capacity 15,\nan edge from node 3 to node 4 with capacity 10,\nan edge from node 4 to node 3 with capacity 6,\nan edge from node 4 to node 1 with capacity 11,\nan edge from node 5 to node 7 with capacity 1,\nan edge from node 5 to node 8 with capacity 7,\nan edge from node 6 to node 3 with capacity 19,\nan edge from node 6 to node 9 with capacity 16,\nan edge from node 7 to node 6 with capacity 15,\nan edge from node 7 to node 4 with capacity 7,\nan edge from node 7 to node 2 with capacity 19,\nan edge from node 8 to node 7 with capacity 4,\nan edge from node 8 to node 0 with capacity 20,\nan edge from node 8 to node 9 with capacity 17,\nan edge from node 9 to node 6 with capacity 6,\nan edge from node 9 to node 3 with capacity 18,\nan edge from node 10 to node 4 with capacity 8,\nan edge from node 10 to node 0 with capacity 9,\nan edge from node 10 to node 9 with capacity 1,\nan edge from node 10 to node 5 with capacity 20,\nWhat is the maximum flow from node 10 to node 4:"
            },
            {
                "from": "gpt",
                "value": "26."
            }
        ]
    },
    {
        "id": "flow-hard-graph211",
        "image": "data/flow/graph_visual/hard/graph211.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 10 with capacity 7,\nan edge from node 0 to node 5 with capacity 8,\nan edge from node 1 to node 3 with capacity 13,\nan edge from node 1 to node 10 with capacity 2,\nan edge from node 1 to node 4 with capacity 10,\nan edge from node 1 to node 5 with capacity 2,\nan edge from node 2 to node 10 with capacity 7,\nan edge from node 3 to node 7 with capacity 18,\nan edge from node 3 to node 9 with capacity 8,\nan edge from node 4 to node 1 with capacity 10,\nan edge from node 4 to node 7 with capacity 5,\nan edge from node 4 to node 9 with capacity 2,\nan edge from node 5 to node 3 with capacity 17,\nan edge from node 5 to node 7 with capacity 3,\nan edge from node 5 to node 8 with capacity 8,\nan edge from node 5 to node 9 with capacity 17,\nan edge from node 5 to node 4 with capacity 10,\nan edge from node 6 to node 4 with capacity 18,\nan edge from node 7 to node 3 with capacity 13,\nan edge from node 7 to node 0 with capacity 17,\nan edge from node 7 to node 9 with capacity 1,\nan edge from node 7 to node 4 with capacity 18,\nan edge from node 8 to node 3 with capacity 17,\nan edge from node 8 to node 0 with capacity 20,\nan edge from node 8 to node 11 with capacity 12,\nan edge from node 9 to node 3 with capacity 2,\nan edge from node 9 to node 0 with capacity 18,\nan edge from node 9 to node 11 with capacity 16,\nan edge from node 11 to node 1 with capacity 11,\nWhat is the maximum flow from node 4 to node 9:"
            },
            {
                "from": "gpt",
                "value": "17."
            }
        ]
    },
    {
        "id": "flow-hard-graph639",
        "image": "data/flow/graph_visual/hard/graph639.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 10 with capacity 18,\nan edge from node 0 to node 14 with capacity 10,\nan edge from node 0 to node 7 with capacity 13,\nan edge from node 0 to node 4 with capacity 20,\nan edge from node 1 to node 11 with capacity 10,\nan edge from node 1 to node 6 with capacity 20,\nan edge from node 1 to node 13 with capacity 17,\nan edge from node 1 to node 9 with capacity 11,\nan edge from node 1 to node 5 with capacity 14,\nan edge from node 2 to node 8 with capacity 4,\nan edge from node 2 to node 9 with capacity 1,\nan edge from node 3 to node 10 with capacity 20,\nan edge from node 3 to node 1 with capacity 20,\nan edge from node 4 to node 2 with capacity 6,\nan edge from node 4 to node 0 with capacity 5,\nan edge from node 4 to node 3 with capacity 18,\nan edge from node 4 to node 9 with capacity 1,\nan edge from node 5 to node 15 with capacity 4,\nan edge from node 5 to node 2 with capacity 8,\nan edge from node 5 to node 6 with capacity 20,\nan edge from node 5 to node 13 with capacity 1,\nan edge from node 5 to node 8 with capacity 2,\nan edge from node 5 to node 3 with capacity 11,\nan edge from node 5 to node 9 with capacity 7,\nan edge from node 6 to node 2 with capacity 5,\nan edge from node 6 to node 11 with capacity 13,\nan edge from node 6 to node 8 with capacity 9,\nan edge from node 6 to node 0 with capacity 8,\nan edge from node 6 to node 1 with capacity 20,\nan edge from node 6 to node 7 with capacity 11,\nan edge from node 7 to node 11 with capacity 2,\nan edge from node 8 to node 15 with capacity 7,\nan edge from node 8 to node 13 with capacity 13,\nan edge from node 9 to node 15 with capacity 19,\nan edge from node 9 to node 11 with capacity 18,\nan edge from node 9 to node 10 with capacity 9,\nan edge from node 10 to node 11 with capacity 19,\nan edge from node 10 to node 14 with capacity 16,\nan edge from node 10 to node 0 with capacity 3,\nan edge from node 10 to node 1 with capacity 16,\nan edge from node 10 to node 4 with capacity 6,\nan edge from node 11 to node 3 with capacity 8,\nan edge from node 11 to node 1 with capacity 10,\nan edge from node 12 to node 2 with capacity 15,\nan edge from node 12 to node 11 with capacity 2,\nan edge from node 12 to node 8 with capacity 5,\nan edge from node 12 to node 9 with capacity 15,\nan edge from node 12 to node 4 with capacity 11,\nan edge from node 13 to node 3 with capacity 3,\nan edge from node 13 to node 9 with capacity 11,\nan edge from node 13 to node 7 with capacity 10,\nan edge from node 14 to node 2 with capacity 5,\nan edge from node 14 to node 8 with capacity 16,\nan edge from node 14 to node 0 with capacity 20,\nan edge from node 14 to node 7 with capacity 17,\nan edge from node 14 to node 5 with capacity 15,\nan edge from node 15 to node 6 with capacity 19,\nan edge from node 15 to node 10 with capacity 4,\nan edge from node 15 to node 0 with capacity 3,\nan edge from node 15 to node 12 with capacity 7,\nan edge from node 15 to node 7 with capacity 15,\nan edge from node 15 to node 4 with capacity 15,\nWhat is the maximum flow from node 0 to node 9:"
            },
            {
                "from": "gpt",
                "value": "38."
            }
        ]
    },
    {
        "id": "flow-hard-graph1189",
        "image": "data/flow/graph_visual/hard/graph1189.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 20, and the edges are:\nan edge from node 0 to node 12 with capacity 15,\nan edge from node 0 to node 4 with capacity 10,\nan edge from node 0 to node 11 with capacity 12,\nan edge from node 1 to node 8 with capacity 9,\nan edge from node 1 to node 17 with capacity 11,\nan edge from node 1 to node 9 with capacity 8,\nan edge from node 1 to node 19 with capacity 4,\nan edge from node 1 to node 2 with capacity 11,\nan edge from node 1 to node 18 with capacity 5,\nan edge from node 1 to node 15 with capacity 4,\nan edge from node 2 to node 5 with capacity 15,\nan edge from node 2 to node 6 with capacity 16,\nan edge from node 2 to node 18 with capacity 19,\nan edge from node 2 to node 13 with capacity 16,\nan edge from node 3 to node 10 with capacity 18,\nan edge from node 3 to node 17 with capacity 12,\nan edge from node 3 to node 1 with capacity 11,\nan edge from node 3 to node 9 with capacity 14,\nan edge from node 3 to node 2 with capacity 20,\nan edge from node 3 to node 18 with capacity 12,\nan edge from node 3 to node 13 with capacity 8,\nan edge from node 3 to node 15 with capacity 20,\nan edge from node 4 to node 7 with capacity 4,\nan edge from node 4 to node 10 with capacity 20,\nan edge from node 4 to node 8 with capacity 11,\nan edge from node 4 to node 16 with capacity 11,\nan edge from node 4 to node 17 with capacity 15,\nan edge from node 4 to node 19 with capacity 17,\nan edge from node 4 to node 3 with capacity 12,\nan edge from node 4 to node 18 with capacity 6,\nan edge from node 4 to node 13 with capacity 10,\nan edge from node 4 to node 11 with capacity 13,\nan edge from node 5 to node 6 with capacity 2,\nan edge from node 5 to node 17 with capacity 1,\nan edge from node 5 to node 2 with capacity 4,\nan edge from node 6 to node 16 with capacity 19,\nan edge from node 6 to node 1 with capacity 18,\nan edge from node 6 to node 19 with capacity 14,\nan edge from node 6 to node 2 with capacity 19,\nan edge from node 6 to node 15 with capacity 15,\nan edge from node 7 to node 10 with capacity 2,\nan edge from node 7 to node 6 with capacity 8,\nan edge from node 7 to node 8 with capacity 13,\nan edge from node 8 to node 7 with capacity 18,\nan edge from node 8 to node 6 with capacity 7,\nan edge from node 8 to node 1 with capacity 6,\nan edge from node 8 to node 2 with capacity 5,\nan edge from node 8 to node 4 with capacity 12,\nan edge from node 8 to node 0 with capacity 8,\nan edge from node 8 to node 11 with capacity 6,\nan edge from node 9 to node 12 with capacity 12,\nan edge from node 9 to node 7 with capacity 17,\nan edge from node 9 to node 4 with capacity 16,\nan edge from node 9 to node 18 with capacity 16,\nan edge from node 9 to node 11 with capacity 20,\nan edge from node 10 to node 12 with capacity 9,\nan edge from node 10 to node 8 with capacity 6,\nan edge from node 11 to node 0 with capacity 3,\nan edge from node 11 to node 15 with capacity 16,\nan edge from node 12 to node 7 with capacity 11,\nan edge from node 12 to node 10 with capacity 5,\nan edge from node 12 to node 8 with capacity 3,\nan edge from node 12 to node 17 with capacity 9,\nan edge from node 12 to node 1 with capacity 4,\nan edge from node 12 to node 14 with capacity 7,\nan edge from node 12 to node 13 with capacity 18,\nan edge from node 13 to node 15 with capacity 1,\nan edge from node 13 to node 11 with capacity 14,\nan edge from node 14 to node 8 with capacity 1,\nan edge from node 14 to node 4 with capacity 16,\nan edge from node 15 to node 5 with capacity 15,\nan edge from node 15 to node 16 with capacity 17,\nan edge from node 15 to node 1 with capacity 16,\nan edge from node 15 to node 11 with capacity 16,\nan edge from node 16 to node 12 with capacity 18,\nan edge from node 16 to node 8 with capacity 9,\nan edge from node 16 to node 17 with capacity 12,\nan edge from node 16 to node 3 with capacity 20,\nan edge from node 16 to node 2 with capacity 7,\nan edge from node 16 to node 15 with capacity 4,\nan edge from node 17 to node 12 with capacity 8,\nan edge from node 17 to node 16 with capacity 4,\nan edge from node 17 to node 19 with capacity 11,\nan edge from node 18 to node 1 with capacity 17,\nan edge from node 18 to node 3 with capacity 16,\nan edge from node 18 to node 11 with capacity 7,\nan edge from node 19 to node 8 with capacity 4,\nan edge from node 19 to node 3 with capacity 4,\nWhat is the maximum flow from node 2 to node 11:"
            },
            {
                "from": "gpt",
                "value": "53."
            }
        ]
    },
    {
        "id": "flow-hard-graph1077",
        "image": "data/flow/graph_visual/hard/graph1077.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 19, and the edges are:\nan edge from node 0 to node 9 with capacity 20,\nan edge from node 0 to node 8 with capacity 14,\nan edge from node 0 to node 13 with capacity 13,\nan edge from node 1 to node 9 with capacity 10,\nan edge from node 1 to node 12 with capacity 12,\nan edge from node 1 to node 16 with capacity 19,\nan edge from node 1 to node 10 with capacity 7,\nan edge from node 1 to node 3 with capacity 9,\nan edge from node 1 to node 4 with capacity 11,\nan edge from node 1 to node 7 with capacity 10,\nan edge from node 1 to node 18 with capacity 4,\nan edge from node 2 to node 15 with capacity 12,\nan edge from node 2 to node 3 with capacity 16,\nan edge from node 2 to node 4 with capacity 13,\nan edge from node 2 to node 7 with capacity 8,\nan edge from node 2 to node 0 with capacity 14,\nan edge from node 3 to node 9 with capacity 7,\nan edge from node 3 to node 12 with capacity 14,\nan edge from node 3 to node 11 with capacity 13,\nan edge from node 3 to node 4 with capacity 1,\nan edge from node 3 to node 5 with capacity 8,\nan edge from node 3 to node 13 with capacity 11,\nan edge from node 3 to node 17 with capacity 11,\nan edge from node 4 to node 9 with capacity 16,\nan edge from node 4 to node 6 with capacity 19,\nan edge from node 4 to node 15 with capacity 9,\nan edge from node 4 to node 11 with capacity 1,\nan edge from node 4 to node 16 with capacity 9,\nan edge from node 4 to node 5 with capacity 14,\nan edge from node 5 to node 9 with capacity 4,\nan edge from node 5 to node 11 with capacity 13,\nan edge from node 5 to node 16 with capacity 8,\nan edge from node 5 to node 4 with capacity 18,\nan edge from node 5 to node 0 with capacity 13,\nan edge from node 5 to node 17 with capacity 16,\nan edge from node 6 to node 9 with capacity 2,\nan edge from node 6 to node 12 with capacity 3,\nan edge from node 6 to node 1 with capacity 5,\nan edge from node 6 to node 2 with capacity 9,\nan edge from node 6 to node 18 with capacity 5,\nan edge from node 7 to node 9 with capacity 14,\nan edge from node 7 to node 3 with capacity 5,\nan edge from node 7 to node 1 with capacity 2,\nan edge from node 7 to node 13 with capacity 12,\nan edge from node 8 to node 16 with capacity 20,\nan edge from node 8 to node 10 with capacity 12,\nan edge from node 8 to node 1 with capacity 10,\nan edge from node 8 to node 4 with capacity 5,\nan edge from node 8 to node 5 with capacity 4,\nan edge from node 8 to node 18 with capacity 19,\nan edge from node 8 to node 0 with capacity 11,\nan edge from node 9 to node 10 with capacity 1,\nan edge from node 9 to node 5 with capacity 12,\nan edge from node 10 to node 11 with capacity 18,\nan edge from node 10 to node 16 with capacity 18,\nan edge from node 10 to node 1 with capacity 12,\nan edge from node 11 to node 12 with capacity 9,\nan edge from node 11 to node 2 with capacity 2,\nan edge from node 12 to node 3 with capacity 3,\nan edge from node 12 to node 1 with capacity 17,\nan edge from node 12 to node 4 with capacity 15,\nan edge from node 12 to node 13 with capacity 3,\nan edge from node 12 to node 2 with capacity 11,\nan edge from node 12 to node 7 with capacity 15,\nan edge from node 12 to node 17 with capacity 5,\nan edge from node 13 to node 5 with capacity 7,\nan edge from node 13 to node 2 with capacity 11,\nan edge from node 14 to node 9 with capacity 12,\nan edge from node 14 to node 5 with capacity 5,\nan edge from node 14 to node 0 with capacity 13,\nan edge from node 15 to node 11 with capacity 7,\nan edge from node 15 to node 2 with capacity 5,\nan edge from node 15 to node 7 with capacity 11,\nan edge from node 16 to node 9 with capacity 16,\nan edge from node 16 to node 15 with capacity 19,\nan edge from node 16 to node 3 with capacity 2,\nan edge from node 16 to node 13 with capacity 13,\nan edge from node 16 to node 2 with capacity 4,\nan edge from node 17 to node 9 with capacity 20,\nan edge from node 17 to node 16 with capacity 9,\nan edge from node 17 to node 10 with capacity 8,\nan edge from node 17 to node 7 with capacity 5,\nan edge from node 17 to node 18 with capacity 4,\nan edge from node 17 to node 0 with capacity 13,\nan edge from node 18 to node 10 with capacity 7,\nan edge from node 18 to node 5 with capacity 8,\nWhat is the maximum flow from node 2 to node 13:"
            },
            {
                "from": "gpt",
                "value": "52."
            }
        ]
    },
    {
        "id": "flow-hard-graph488",
        "image": "data/flow/graph_visual/hard/graph488.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 15, and the edges are:\nan edge from node 0 to node 14 with capacity 13,\nan edge from node 1 to node 4 with capacity 15,\nan edge from node 1 to node 9 with capacity 9,\nan edge from node 1 to node 14 with capacity 7,\nan edge from node 2 to node 4 with capacity 13,\nan edge from node 2 to node 9 with capacity 2,\nan edge from node 2 to node 14 with capacity 13,\nan edge from node 3 to node 2 with capacity 10,\nan edge from node 3 to node 1 with capacity 19,\nan edge from node 3 to node 10 with capacity 3,\nan edge from node 3 to node 6 with capacity 16,\nan edge from node 3 to node 9 with capacity 3,\nan edge from node 3 to node 7 with capacity 18,\nan edge from node 3 to node 13 with capacity 2,\nan edge from node 4 to node 12 with capacity 9,\nan edge from node 4 to node 1 with capacity 7,\nan edge from node 4 to node 3 with capacity 14,\nan edge from node 4 to node 6 with capacity 7,\nan edge from node 4 to node 13 with capacity 12,\nan edge from node 5 to node 4 with capacity 6,\nan edge from node 5 to node 14 with capacity 7,\nan edge from node 6 to node 8 with capacity 14,\nan edge from node 6 to node 1 with capacity 15,\nan edge from node 6 to node 9 with capacity 16,\nan edge from node 6 to node 14 with capacity 14,\nan edge from node 6 to node 7 with capacity 13,\nan edge from node 6 to node 13 with capacity 6,\nan edge from node 6 to node 0 with capacity 19,\nan edge from node 7 to node 2 with capacity 3,\nan edge from node 7 to node 1 with capacity 17,\nan edge from node 7 to node 3 with capacity 11,\nan edge from node 7 to node 9 with capacity 5,\nan edge from node 7 to node 0 with capacity 11,\nan edge from node 8 to node 12 with capacity 18,\nan edge from node 8 to node 6 with capacity 16,\nan edge from node 8 to node 9 with capacity 18,\nan edge from node 8 to node 11 with capacity 14,\nan edge from node 9 to node 5 with capacity 15,\nan edge from node 9 to node 3 with capacity 8,\nan edge from node 9 to node 13 with capacity 7,\nan edge from node 10 to node 1 with capacity 6,\nan edge from node 10 to node 4 with capacity 7,\nan edge from node 10 to node 0 with capacity 14,\nan edge from node 11 to node 2 with capacity 1,\nan edge from node 11 to node 5 with capacity 4,\nan edge from node 11 to node 3 with capacity 5,\nan edge from node 11 to node 14 with capacity 19,\nan edge from node 11 to node 13 with capacity 7,\nan edge from node 12 to node 2 with capacity 10,\nan edge from node 12 to node 5 with capacity 1,\nan edge from node 12 to node 13 with capacity 14,\nan edge from node 13 to node 12 with capacity 5,\nan edge from node 13 to node 4 with capacity 20,\nan edge from node 13 to node 3 with capacity 15,\nan edge from node 13 to node 7 with capacity 8,\nan edge from node 14 to node 8 with capacity 8,\nan edge from node 14 to node 10 with capacity 7,\nWhat is the maximum flow from node 0 to node 13:"
            },
            {
                "from": "gpt",
                "value": "13."
            }
        ]
    },
    {
        "id": "flow-hard-graph72",
        "image": "data/flow/graph_visual/hard/graph72.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 11, and the edges are:\nan edge from node 0 to node 5 with capacity 9,\nan edge from node 0 to node 10 with capacity 19,\nan edge from node 0 to node 8 with capacity 4,\nan edge from node 1 to node 3 with capacity 18,\nan edge from node 1 to node 6 with capacity 18,\nan edge from node 1 to node 2 with capacity 12,\nan edge from node 1 to node 7 with capacity 9,\nan edge from node 2 to node 10 with capacity 2,\nan edge from node 2 to node 8 with capacity 8,\nan edge from node 3 to node 6 with capacity 17,\nan edge from node 3 to node 10 with capacity 8,\nan edge from node 4 to node 3 with capacity 10,\nan edge from node 4 to node 1 with capacity 18,\nan edge from node 4 to node 0 with capacity 10,\nan edge from node 5 to node 3 with capacity 18,\nan edge from node 5 to node 6 with capacity 14,\nan edge from node 5 to node 2 with capacity 15,\nan edge from node 5 to node 9 with capacity 15,\nan edge from node 6 to node 3 with capacity 5,\nan edge from node 6 to node 2 with capacity 13,\nan edge from node 6 to node 8 with capacity 7,\nan edge from node 7 to node 3 with capacity 10,\nan edge from node 7 to node 1 with capacity 15,\nan edge from node 7 to node 0 with capacity 19,\nan edge from node 7 to node 2 with capacity 13,\nan edge from node 8 to node 3 with capacity 4,\nan edge from node 8 to node 6 with capacity 16,\nan edge from node 8 to node 10 with capacity 17,\nan edge from node 8 to node 7 with capacity 13,\nan edge from node 9 to node 6 with capacity 9,\nan edge from node 9 to node 2 with capacity 17,\nan edge from node 9 to node 8 with capacity 7,\nan edge from node 10 to node 6 with capacity 10,\nWhat is the maximum flow from node 5 to node 1:"
            },
            {
                "from": "gpt",
                "value": "13."
            }
        ]
    },
    {
        "id": "flow-hard-graph380",
        "image": "data/flow/graph_visual/hard/graph380.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 14, and the edges are:\nan edge from node 0 to node 1 with capacity 9,\nan edge from node 0 to node 13 with capacity 13,\nan edge from node 0 to node 6 with capacity 12,\nan edge from node 1 to node 4 with capacity 6,\nan edge from node 1 to node 5 with capacity 11,\nan edge from node 1 to node 2 with capacity 2,\nan edge from node 2 to node 4 with capacity 13,\nan edge from node 2 to node 1 with capacity 11,\nan edge from node 3 to node 8 with capacity 20,\nan edge from node 3 to node 4 with capacity 9,\nan edge from node 3 to node 1 with capacity 13,\nan edge from node 3 to node 11 with capacity 1,\nan edge from node 4 to node 8 with capacity 13,\nan edge from node 4 to node 9 with capacity 9,\nan edge from node 4 to node 7 with capacity 19,\nan edge from node 6 to node 8 with capacity 10,\nan edge from node 6 to node 0 with capacity 5,\nan edge from node 6 to node 3 with capacity 9,\nan edge from node 7 to node 2 with capacity 15,\nan edge from node 7 to node 12 with capacity 16,\nan edge from node 8 to node 9 with capacity 4,\nan edge from node 8 to node 5 with capacity 15,\nan edge from node 8 to node 13 with capacity 18,\nan edge from node 8 to node 12 with capacity 7,\nan edge from node 9 to node 0 with capacity 10,\nan edge from node 9 to node 11 with capacity 17,\nan edge from node 9 to node 12 with capacity 10,\nan edge from node 10 to node 8 with capacity 16,\nan edge from node 10 to node 5 with capacity 1,\nan edge from node 10 to node 2 with capacity 8,\nan edge from node 10 to node 13 with capacity 17,\nan edge from node 10 to node 6 with capacity 18,\nan edge from node 11 to node 8 with capacity 2,\nan edge from node 11 to node 0 with capacity 6,\nan edge from node 11 to node 13 with capacity 15,\nan edge from node 11 to node 12 with capacity 19,\nan edge from node 12 to node 8 with capacity 15,\nan edge from node 12 to node 4 with capacity 10,\nan edge from node 12 to node 11 with capacity 2,\nan edge from node 12 to node 6 with capacity 3,\nan edge from node 13 to node 9 with capacity 15,\nan edge from node 13 to node 10 with capacity 5,\nan edge from node 13 to node 1 with capacity 19,\nan edge from node 13 to node 6 with capacity 17,\nWhat is the maximum flow from node 1 to node 12:"
            },
            {
                "from": "gpt",
                "value": "8."
            }
        ]
    },
    {
        "id": "flow-hard-graph172",
        "image": "data/flow/graph_visual/hard/graph172.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 12, and the edges are:\nan edge from node 0 to node 5 with capacity 18,\nan edge from node 0 to node 11 with capacity 16,\nan edge from node 0 to node 1 with capacity 12,\nan edge from node 2 to node 7 with capacity 12,\nan edge from node 3 to node 5 with capacity 2,\nan edge from node 3 to node 8 with capacity 4,\nan edge from node 3 to node 7 with capacity 10,\nan edge from node 3 to node 4 with capacity 4,\nan edge from node 4 to node 10 with capacity 15,\nan edge from node 4 to node 9 with capacity 4,\nan edge from node 5 to node 7 with capacity 19,\nan edge from node 5 to node 4 with capacity 9,\nan edge from node 5 to node 9 with capacity 16,\nan edge from node 6 to node 5 with capacity 9,\nan edge from node 6 to node 3 with capacity 9,\nan edge from node 7 to node 8 with capacity 1,\nan edge from node 7 to node 0 with capacity 12,\nan edge from node 7 to node 1 with capacity 5,\nan edge from node 7 to node 4 with capacity 16,\nan edge from node 8 to node 5 with capacity 8,\nan edge from node 8 to node 0 with capacity 17,\nan edge from node 8 to node 7 with capacity 9,\nan edge from node 8 to node 6 with capacity 8,\nan edge from node 8 to node 10 with capacity 7,\nan edge from node 8 to node 11 with capacity 4,\nan edge from node 9 to node 2 with capacity 6,\nan edge from node 9 to node 6 with capacity 7,\nan edge from node 10 to node 7 with capacity 19,\nan edge from node 10 to node 6 with capacity 14,\nan edge from node 11 to node 8 with capacity 16,\nan edge from node 11 to node 0 with capacity 5,\nan edge from node 11 to node 3 with capacity 2,\nWhat is the maximum flow from node 9 to node 0:"
            },
            {
                "from": "gpt",
                "value": "13."
            }
        ]
    },
    {
        "id": "flow-hard-graph695",
        "image": "data/flow/graph_visual/hard/graph695.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 3 with capacity 15,\nan edge from node 0 to node 2 with capacity 18,\nan edge from node 0 to node 10 with capacity 9,\nan edge from node 0 to node 11 with capacity 18,\nan edge from node 1 to node 15 with capacity 16,\nan edge from node 1 to node 14 with capacity 19,\nan edge from node 1 to node 10 with capacity 12,\nan edge from node 1 to node 5 with capacity 1,\nan edge from node 1 to node 12 with capacity 2,\nan edge from node 2 to node 4 with capacity 17,\nan edge from node 2 to node 10 with capacity 1,\nan edge from node 2 to node 5 with capacity 9,\nan edge from node 2 to node 1 with capacity 3,\nan edge from node 2 to node 13 with capacity 18,\nan edge from node 3 to node 2 with capacity 4,\nan edge from node 3 to node 6 with capacity 5,\nan edge from node 3 to node 7 with capacity 1,\nan edge from node 3 to node 15 with capacity 19,\nan edge from node 3 to node 5 with capacity 1,\nan edge from node 3 to node 11 with capacity 11,\nan edge from node 3 to node 13 with capacity 6,\nan edge from node 4 to node 3 with capacity 16,\nan edge from node 4 to node 2 with capacity 14,\nan edge from node 4 to node 6 with capacity 14,\nan edge from node 4 to node 11 with capacity 2,\nan edge from node 5 to node 9 with capacity 15,\nan edge from node 5 to node 14 with capacity 14,\nan edge from node 5 to node 11 with capacity 9,\nan edge from node 6 to node 7 with capacity 1,\nan edge from node 6 to node 15 with capacity 15,\nan edge from node 6 to node 0 with capacity 6,\nan edge from node 6 to node 5 with capacity 12,\nan edge from node 6 to node 12 with capacity 19,\nan edge from node 7 to node 3 with capacity 9,\nan edge from node 7 to node 2 with capacity 20,\nan edge from node 7 to node 9 with capacity 8,\nan edge from node 7 to node 5 with capacity 8,\nan edge from node 7 to node 12 with capacity 1,\nan edge from node 7 to node 13 with capacity 3,\nan edge from node 8 to node 9 with capacity 7,\nan edge from node 8 to node 14 with capacity 1,\nan edge from node 8 to node 12 with capacity 9,\nan edge from node 9 to node 3 with capacity 5,\nan edge from node 9 to node 15 with capacity 12,\nan edge from node 9 to node 11 with capacity 4,\nan edge from node 10 to node 11 with capacity 20,\nan edge from node 10 to node 12 with capacity 16,\nan edge from node 11 to node 2 with capacity 4,\nan edge from node 11 to node 7 with capacity 1,\nan edge from node 11 to node 0 with capacity 2,\nan edge from node 11 to node 13 with capacity 3,\nan edge from node 12 to node 0 with capacity 5,\nan edge from node 13 to node 2 with capacity 9,\nan edge from node 13 to node 8 with capacity 4,\nan edge from node 13 to node 12 with capacity 14,\nan edge from node 14 to node 6 with capacity 1,\nan edge from node 14 to node 11 with capacity 17,\nan edge from node 14 to node 13 with capacity 10,\nan edge from node 15 to node 4 with capacity 8,\nan edge from node 15 to node 9 with capacity 5,\nan edge from node 15 to node 14 with capacity 8,\nan edge from node 15 to node 8 with capacity 10,\nan edge from node 15 to node 5 with capacity 20,\nan edge from node 15 to node 1 with capacity 18,\nan edge from node 15 to node 13 with capacity 6,\nWhat is the maximum flow from node 9 to node 8:"
            },
            {
                "from": "gpt",
                "value": "14."
            }
        ]
    },
    {
        "id": "flow-hard-graph895",
        "image": "data/flow/graph_visual/hard/graph895.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 18, and the edges are:\nan edge from node 0 to node 16 with capacity 6,\nan edge from node 0 to node 4 with capacity 20,\nan edge from node 0 to node 17 with capacity 1,\nan edge from node 0 to node 7 with capacity 2,\nan edge from node 0 to node 1 with capacity 19,\nan edge from node 0 to node 9 with capacity 17,\nan edge from node 1 to node 3 with capacity 18,\nan edge from node 1 to node 12 with capacity 4,\nan edge from node 1 to node 11 with capacity 8,\nan edge from node 1 to node 6 with capacity 15,\nan edge from node 1 to node 5 with capacity 13,\nan edge from node 2 to node 14 with capacity 6,\nan edge from node 2 to node 16 with capacity 13,\nan edge from node 2 to node 10 with capacity 1,\nan edge from node 2 to node 5 with capacity 9,\nan edge from node 2 to node 9 with capacity 11,\nan edge from node 3 to node 14 with capacity 15,\nan edge from node 3 to node 4 with capacity 14,\nan edge from node 3 to node 12 with capacity 5,\nan edge from node 3 to node 11 with capacity 2,\nan edge from node 3 to node 2 with capacity 20,\nan edge from node 3 to node 15 with capacity 12,\nan edge from node 4 to node 12 with capacity 3,\nan edge from node 4 to node 6 with capacity 15,\nan edge from node 4 to node 15 with capacity 17,\nan edge from node 4 to node 9 with capacity 12,\nan edge from node 4 to node 8 with capacity 20,\nan edge from node 5 to node 3 with capacity 16,\nan edge from node 5 to node 17 with capacity 16,\nan edge from node 5 to node 11 with capacity 16,\nan edge from node 5 to node 13 with capacity 9,\nan edge from node 5 to node 7 with capacity 15,\nan edge from node 6 to node 3 with capacity 17,\nan edge from node 6 to node 4 with capacity 11,\nan edge from node 6 to node 2 with capacity 7,\nan edge from node 6 to node 15 with capacity 8,\nan edge from node 7 to node 16 with capacity 20,\nan edge from node 7 to node 13 with capacity 15,\nan edge from node 7 to node 5 with capacity 11,\nan edge from node 7 to node 9 with capacity 2,\nan edge from node 7 to node 8 with capacity 4,\nan edge from node 8 to node 14 with capacity 10,\nan edge from node 8 to node 0 with capacity 8,\nan edge from node 8 to node 4 with capacity 19,\nan edge from node 8 to node 1 with capacity 14,\nan edge from node 9 to node 3 with capacity 20,\nan edge from node 9 to node 16 with capacity 1,\nan edge from node 9 to node 2 with capacity 19,\nan edge from node 10 to node 0 with capacity 6,\nan edge from node 10 to node 4 with capacity 1,\nan edge from node 10 to node 12 with capacity 18,\nan edge from node 10 to node 9 with capacity 3,\nan edge from node 11 to node 16 with capacity 4,\nan edge from node 11 to node 4 with capacity 7,\nan edge from node 11 to node 17 with capacity 4,\nan edge from node 11 to node 6 with capacity 17,\nan edge from node 11 to node 1 with capacity 7,\nan edge from node 11 to node 9 with capacity 3,\nan edge from node 12 to node 3 with capacity 16,\nan edge from node 12 to node 0 with capacity 1,\nan edge from node 12 to node 10 with capacity 9,\nan edge from node 12 to node 11 with capacity 10,\nan edge from node 12 to node 13 with capacity 16,\nan edge from node 12 to node 7 with capacity 5,\nan edge from node 12 to node 1 with capacity 17,\nan edge from node 12 to node 15 with capacity 9,\nan edge from node 12 to node 8 with capacity 18,\nan edge from node 13 to node 0 with capacity 3,\nan edge from node 13 to node 8 with capacity 3,\nan edge from node 14 to node 3 with capacity 9,\nan edge from node 14 to node 17 with capacity 8,\nan edge from node 14 to node 10 with capacity 10,\nan edge from node 14 to node 2 with capacity 13,\nan edge from node 15 to node 4 with capacity 18,\nan edge from node 15 to node 17 with capacity 17,\nan edge from node 15 to node 11 with capacity 1,\nan edge from node 15 to node 6 with capacity 7,\nan edge from node 15 to node 13 with capacity 18,\nan edge from node 15 to node 5 with capacity 18,\nan edge from node 15 to node 8 with capacity 10,\nan edge from node 16 to node 3 with capacity 8,\nan edge from node 16 to node 0 with capacity 4,\nan edge from node 16 to node 5 with capacity 12,\nan edge from node 17 to node 12 with capacity 6,\nan edge from node 17 to node 11 with capacity 2,\nan edge from node 17 to node 6 with capacity 17,\nan edge from node 17 to node 7 with capacity 15,\nan edge from node 17 to node 8 with capacity 20,\nWhat is the maximum flow from node 3 to node 6:"
            },
            {
                "from": "gpt",
                "value": "68."
            }
        ]
    },
    {
        "id": "flow-hard-graph277",
        "image": "data/flow/graph_visual/hard/graph277.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 13, and the edges are:\nan edge from node 0 to node 11 with capacity 3,\nan edge from node 0 to node 12 with capacity 19,\nan edge from node 0 to node 7 with capacity 2,\nan edge from node 0 to node 9 with capacity 10,\nan edge from node 0 to node 10 with capacity 6,\nan edge from node 0 to node 5 with capacity 8,\nan edge from node 1 to node 12 with capacity 8,\nan edge from node 1 to node 4 with capacity 8,\nan edge from node 1 to node 2 with capacity 10,\nan edge from node 1 to node 10 with capacity 17,\nan edge from node 2 to node 0 with capacity 2,\nan edge from node 2 to node 7 with capacity 13,\nan edge from node 2 to node 4 with capacity 9,\nan edge from node 2 to node 1 with capacity 16,\nan edge from node 2 to node 5 with capacity 20,\nan edge from node 3 to node 0 with capacity 2,\nan edge from node 3 to node 8 with capacity 14,\nan edge from node 3 to node 2 with capacity 17,\nan edge from node 3 to node 9 with capacity 6,\nan edge from node 4 to node 6 with capacity 5,\nan edge from node 4 to node 12 with capacity 15,\nan edge from node 4 to node 8 with capacity 12,\nan edge from node 4 to node 2 with capacity 7,\nan edge from node 4 to node 9 with capacity 14,\nan edge from node 5 to node 11 with capacity 20,\nan edge from node 5 to node 12 with capacity 10,\nan edge from node 5 to node 1 with capacity 2,\nan edge from node 6 to node 12 with capacity 15,\nan edge from node 6 to node 4 with capacity 13,\nan edge from node 6 to node 10 with capacity 9,\nan edge from node 7 to node 0 with capacity 9,\nan edge from node 7 to node 12 with capacity 12,\nan edge from node 7 to node 1 with capacity 2,\nan edge from node 8 to node 9 with capacity 6,\nan edge from node 9 to node 4 with capacity 15,\nan edge from node 10 to node 0 with capacity 6,\nan edge from node 10 to node 11 with capacity 4,\nan edge from node 10 to node 12 with capacity 14,\nan edge from node 11 to node 10 with capacity 18,\nan edge from node 12 to node 6 with capacity 19,\nan edge from node 12 to node 7 with capacity 1,\nan edge from node 12 to node 4 with capacity 15,\nan edge from node 12 to node 10 with capacity 2,\nWhat is the maximum flow from node 6 to node 5:"
            },
            {
                "from": "gpt",
                "value": "14."
            }
        ]
    },
    {
        "id": "flow-hard-graph634",
        "image": "data/flow/graph_visual/hard/graph634.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis graphic illustrates a directed graph, with each edge's capacity indicated by a numerical label in close proximity.\nIn this directed graph, the nodes are numbered from 0 to 16, and the edges are:\nan edge from node 0 to node 4 with capacity 5,\nan edge from node 0 to node 11 with capacity 7,\nan edge from node 0 to node 12 with capacity 2,\nan edge from node 0 to node 6 with capacity 14,\nan edge from node 0 to node 8 with capacity 2,\nan edge from node 1 to node 12 with capacity 19,\nan edge from node 1 to node 8 with capacity 7,\nan edge from node 1 to node 5 with capacity 12,\nan edge from node 2 to node 13 with capacity 17,\nan edge from node 2 to node 3 with capacity 6,\nan edge from node 3 to node 1 with capacity 1,\nan edge from node 3 to node 12 with capacity 2,\nan edge from node 3 to node 6 with capacity 2,\nan edge from node 4 to node 14 with capacity 10,\nan edge from node 4 to node 6 with capacity 10,\nan edge from node 4 to node 9 with capacity 18,\nan edge from node 5 to node 1 with capacity 19,\nan edge from node 5 to node 7 with capacity 20,\nan edge from node 5 to node 0 with capacity 15,\nan edge from node 5 to node 8 with capacity 6,\nan edge from node 6 to node 13 with capacity 4,\nan edge from node 6 to node 2 with capacity 19,\nan edge from node 6 to node 7 with capacity 19,\nan edge from node 6 to node 14 with capacity 15,\nan edge from node 6 to node 12 with capacity 3,\nan edge from node 6 to node 10 with capacity 7,\nan edge from node 6 to node 9 with capacity 7,\nan edge from node 7 to node 15 with capacity 19,\nan edge from node 7 to node 13 with capacity 9,\nan edge from node 7 to node 1 with capacity 8,\nan edge from node 7 to node 6 with capacity 5,\nan edge from node 8 to node 13 with capacity 4,\nan edge from node 9 to node 13 with capacity 14,\nan edge from node 9 to node 1 with capacity 20,\nan edge from node 9 to node 11 with capacity 7,\nan edge from node 9 to node 7 with capacity 4,\nan edge from node 9 to node 14 with capacity 1,\nan edge from node 9 to node 5 with capacity 12,\nan edge from node 10 to node 11 with capacity 7,\nan edge from node 11 to node 15 with capacity 19,\nan edge from node 11 to node 10 with capacity 5,\nan edge from node 11 to node 3 with capacity 3,\nan edge from node 11 to node 5 with capacity 4,\nan edge from node 12 to node 2 with capacity 18,\nan edge from node 12 to node 14 with capacity 10,\nan edge from node 12 to node 3 with capacity 20,\nan edge from node 12 to node 9 with capacity 10,\nan edge from node 13 to node 14 with capacity 7,\nan edge from node 13 to node 9 with capacity 8,\nan edge from node 13 to node 5 with capacity 18,\nan edge from node 14 to node 4 with capacity 4,\nan edge from node 14 to node 12 with capacity 2,\nan edge from node 14 to node 0 with capacity 13,\nan edge from node 14 to node 9 with capacity 10,\nan edge from node 15 to node 1 with capacity 15,\nan edge from node 15 to node 11 with capacity 3,\nan edge from node 15 to node 7 with capacity 2,\nan edge from node 15 to node 10 with capacity 12,\nan edge from node 15 to node 8 with capacity 17,\nan edge from node 15 to node 5 with capacity 1,\nWhat is the maximum flow from node 12 to node 2:"
            },
            {
                "from": "gpt",
                "value": "37."
            }
        ]
    }
]