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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "No."
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
            }
        ]
    },
    {
        "id": "cycle-hard-graph1903",
        "image": "data/cycle/graph_visual/hard/graph1903.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph1583",
        "image": "data/cycle/graph_visual/hard/graph1583.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph1766",
        "image": "data/cycle/graph_visual/hard/graph1766.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph996",
        "image": "data/cycle/graph_visual/hard/graph996.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
            }
        ]
    },
    {
        "id": "cycle-hard-graph703",
        "image": "data/cycle/graph_visual/hard/graph703.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph1016",
        "image": "data/cycle/graph_visual/hard/graph1016.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph1980",
        "image": "data/cycle/graph_visual/hard/graph1980.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph1609",
        "image": "data/cycle/graph_visual/hard/graph1609.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph1080",
        "image": "data/cycle/graph_visual/hard/graph1080.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph213",
        "image": "data/cycle/graph_visual/hard/graph213.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph772",
        "image": "data/cycle/graph_visual/hard/graph772.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph906",
        "image": "data/cycle/graph_visual/hard/graph906.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph284",
        "image": "data/cycle/graph_visual/hard/graph284.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
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    {
        "id": "cycle-hard-graph1698",
        "image": "data/cycle/graph_visual/hard/graph1698.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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        ]
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    {
        "id": "cycle-hard-graph464",
        "image": "data/cycle/graph_visual/hard/graph464.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph1607",
        "image": "data/cycle/graph_visual/hard/graph1607.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "Yes."
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        ]
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    {
        "id": "cycle-hard-graph1571",
        "image": "data/cycle/graph_visual/hard/graph1571.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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    {
        "id": "cycle-hard-graph1735",
        "image": "data/cycle/graph_visual/hard/graph1735.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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    {
        "id": "cycle-hard-graph236",
        "image": "data/cycle/graph_visual/hard/graph236.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "No."
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        ]
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    {
        "id": "cycle-hard-graph199",
        "image": "data/cycle/graph_visual/hard/graph199.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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    {
        "id": "cycle-hard-graph1690",
        "image": "data/cycle/graph_visual/hard/graph1690.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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        ]
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        "id": "cycle-hard-graph1531",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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        "id": "cycle-hard-graph92",
        "image": "data/cycle/graph_visual/hard/graph92.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "id": "cycle-hard-graph989",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "id": "cycle-hard-graph1727",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "Yes."
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "Yes."
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "Yes."
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        "id": "cycle-hard-graph860",
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "No."
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        "id": "cycle-hard-graph1928",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "Yes."
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        "id": "cycle-hard-graph1850",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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        "id": "cycle-hard-graph60",
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "id": "cycle-hard-graph918",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "id": "cycle-hard-graph1532",
        "image": "data/cycle/graph_visual/hard/graph1532.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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        "id": "cycle-hard-graph1638",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "Yes."
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        "id": "cycle-hard-graph1273",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "id": "cycle-hard-graph4",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "id": "cycle-hard-graph205",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "id": "cycle-hard-graph391",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "No."
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "id": "cycle-hard-graph344",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "No."
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "No."
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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        "conversations": [
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
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        "conversations": [
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
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        "id": "cycle-hard-graph874",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "id": "cycle-hard-graph1861",
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph718",
        "image": "data/cycle/graph_visual/hard/graph718.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph1203",
        "image": "data/cycle/graph_visual/hard/graph1203.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
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        ]
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    {
        "id": "cycle-hard-graph1667",
        "image": "data/cycle/graph_visual/hard/graph1667.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph419",
        "image": "data/cycle/graph_visual/hard/graph419.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph845",
        "image": "data/cycle/graph_visual/hard/graph845.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph94",
        "image": "data/cycle/graph_visual/hard/graph94.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph604",
        "image": "data/cycle/graph_visual/hard/graph604.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
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    {
        "id": "cycle-hard-graph1108",
        "image": "data/cycle/graph_visual/hard/graph1108.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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    {
        "id": "cycle-hard-graph1089",
        "image": "data/cycle/graph_visual/hard/graph1089.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "Yes."
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    {
        "id": "cycle-hard-graph544",
        "image": "data/cycle/graph_visual/hard/graph544.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "No."
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        ]
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    {
        "id": "cycle-hard-graph229",
        "image": "data/cycle/graph_visual/hard/graph229.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "id": "cycle-hard-graph1074",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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        "id": "cycle-hard-graph917",
        "image": "data/cycle/graph_visual/hard/graph917.png",
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "id": "cycle-hard-graph956",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "id": "cycle-hard-graph1135",
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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        "id": "cycle-hard-graph1418",
        "image": "data/cycle/graph_visual/hard/graph1418.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "id": "cycle-hard-graph1320",
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "No."
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "No."
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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        "id": "cycle-hard-graph469",
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "conversations": [
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "No."
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "Yes."
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "No."
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
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                "from": "human",
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
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                "from": "human",
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                "from": "human",
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                "from": "human",
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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        ]
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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        "conversations": [
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "id": "cycle-hard-graph270",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "id": "cycle-hard-graph1699",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "Yes."
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph1971",
        "image": "data/cycle/graph_visual/hard/graph1971.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph434",
        "image": "data/cycle/graph_visual/hard/graph434.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph1262",
        "image": "data/cycle/graph_visual/hard/graph1262.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph710",
        "image": "data/cycle/graph_visual/hard/graph710.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph435",
        "image": "data/cycle/graph_visual/hard/graph435.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph1998",
        "image": "data/cycle/graph_visual/hard/graph1998.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "Yes."
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        ]
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    {
        "id": "cycle-hard-graph58",
        "image": "data/cycle/graph_visual/hard/graph58.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
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    {
        "id": "cycle-hard-graph707",
        "image": "data/cycle/graph_visual/hard/graph707.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
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    {
        "id": "cycle-hard-graph1136",
        "image": "data/cycle/graph_visual/hard/graph1136.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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    {
        "id": "cycle-hard-graph872",
        "image": "data/cycle/graph_visual/hard/graph872.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
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    {
        "id": "cycle-hard-graph1342",
        "image": "data/cycle/graph_visual/hard/graph1342.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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        "id": "cycle-hard-graph1512",
        "image": "data/cycle/graph_visual/hard/graph1512.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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    {
        "id": "cycle-hard-graph486",
        "image": "data/cycle/graph_visual/hard/graph486.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "No."
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    {
        "id": "cycle-hard-graph888",
        "image": "data/cycle/graph_visual/hard/graph888.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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    {
        "id": "cycle-hard-graph612",
        "image": "data/cycle/graph_visual/hard/graph612.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "id": "cycle-hard-graph1171",
        "image": "data/cycle/graph_visual/hard/graph1171.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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        "id": "cycle-hard-graph324",
        "image": "data/cycle/graph_visual/hard/graph324.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "No."
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    {
        "id": "cycle-hard-graph1500",
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "Yes."
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        "id": "cycle-hard-graph263",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "No."
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        "id": "cycle-hard-graph889",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "id": "cycle-hard-graph1714",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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        "id": "cycle-hard-graph977",
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "id": "cycle-hard-graph833",
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "id": "cycle-hard-graph721",
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "id": "cycle-hard-graph393",
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        "conversations": [
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "No."
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "No."
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        "id": "cycle-hard-graph429",
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "No."
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        "id": "cycle-hard-graph634",
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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        "id": "cycle-hard-graph166",
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
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        "conversations": [
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
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        "conversations": [
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
            }
        ]
    },
    {
        "id": "cycle-hard-graph295",
        "image": "data/cycle/graph_visual/hard/graph295.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
            }
        ]
    },
    {
        "id": "cycle-hard-graph496",
        "image": "data/cycle/graph_visual/hard/graph496.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
            }
        ]
    },
    {
        "id": "cycle-hard-graph1338",
        "image": "data/cycle/graph_visual/hard/graph1338.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
            }
        ]
    },
    {
        "id": "cycle-hard-graph1711",
        "image": "data/cycle/graph_visual/hard/graph1711.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
            }
        ]
    },
    {
        "id": "cycle-hard-graph699",
        "image": "data/cycle/graph_visual/hard/graph699.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
            }
        ]
    },
    {
        "id": "cycle-hard-graph1503",
        "image": "data/cycle/graph_visual/hard/graph1503.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
            }
        ]
    },
    {
        "id": "cycle-hard-graph1521",
        "image": "data/cycle/graph_visual/hard/graph1521.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
            }
        ]
    },
    {
        "id": "cycle-hard-graph112",
        "image": "data/cycle/graph_visual/hard/graph112.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
            }
        ]
    },
    {
        "id": "cycle-hard-graph239",
        "image": "data/cycle/graph_visual/hard/graph239.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
            }
        ]
    },
    {
        "id": "cycle-hard-graph68",
        "image": "data/cycle/graph_visual/hard/graph68.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
            }
        ]
    },
    {
        "id": "cycle-hard-graph1287",
        "image": "data/cycle/graph_visual/hard/graph1287.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
            }
        ]
    },
    {
        "id": "cycle-hard-graph290",
        "image": "data/cycle/graph_visual/hard/graph290.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
            }
        ]
    },
    {
        "id": "cycle-hard-graph751",
        "image": "data/cycle/graph_visual/hard/graph751.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
            }
        ]
    },
    {
        "id": "cycle-hard-graph216",
        "image": "data/cycle/graph_visual/hard/graph216.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
            }
        ]
    },
    {
        "id": "cycle-hard-graph1522",
        "image": "data/cycle/graph_visual/hard/graph1522.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
            }
        ]
    },
    {
        "id": "cycle-hard-graph1974",
        "image": "data/cycle/graph_visual/hard/graph1974.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph196",
        "image": "data/cycle/graph_visual/hard/graph196.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph108",
        "image": "data/cycle/graph_visual/hard/graph108.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
            }
        ]
    },
    {
        "id": "cycle-hard-graph1492",
        "image": "data/cycle/graph_visual/hard/graph1492.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph1446",
        "image": "data/cycle/graph_visual/hard/graph1446.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph893",
        "image": "data/cycle/graph_visual/hard/graph893.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph993",
        "image": "data/cycle/graph_visual/hard/graph993.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph80",
        "image": "data/cycle/graph_visual/hard/graph80.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph460",
        "image": "data/cycle/graph_visual/hard/graph460.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph780",
        "image": "data/cycle/graph_visual/hard/graph780.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph581",
        "image": "data/cycle/graph_visual/hard/graph581.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph1463",
        "image": "data/cycle/graph_visual/hard/graph1463.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph145",
        "image": "data/cycle/graph_visual/hard/graph145.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph967",
        "image": "data/cycle/graph_visual/hard/graph967.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph1091",
        "image": "data/cycle/graph_visual/hard/graph1091.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph1098",
        "image": "data/cycle/graph_visual/hard/graph1098.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph1929",
        "image": "data/cycle/graph_visual/hard/graph1929.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph1453",
        "image": "data/cycle/graph_visual/hard/graph1453.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph1003",
        "image": "data/cycle/graph_visual/hard/graph1003.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph198",
        "image": "data/cycle/graph_visual/hard/graph198.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph1542",
        "image": "data/cycle/graph_visual/hard/graph1542.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph1340",
        "image": "data/cycle/graph_visual/hard/graph1340.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph1564",
        "image": "data/cycle/graph_visual/hard/graph1564.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph1687",
        "image": "data/cycle/graph_visual/hard/graph1687.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph941",
        "image": "data/cycle/graph_visual/hard/graph941.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph1205",
        "image": "data/cycle/graph_visual/hard/graph1205.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph339",
        "image": "data/cycle/graph_visual/hard/graph339.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph1811",
        "image": "data/cycle/graph_visual/hard/graph1811.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph569",
        "image": "data/cycle/graph_visual/hard/graph569.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph160",
        "image": "data/cycle/graph_visual/hard/graph160.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
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        "id": "cycle-hard-graph1211",
        "image": "data/cycle/graph_visual/hard/graph1211.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph1742",
        "image": "data/cycle/graph_visual/hard/graph1742.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
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        "id": "cycle-hard-graph1443",
        "image": "data/cycle/graph_visual/hard/graph1443.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph1842",
        "image": "data/cycle/graph_visual/hard/graph1842.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph1081",
        "image": "data/cycle/graph_visual/hard/graph1081.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph1119",
        "image": "data/cycle/graph_visual/hard/graph1119.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "Yes."
            }
        ]
    },
    {
        "id": "cycle-hard-graph1224",
        "image": "data/cycle/graph_visual/hard/graph1224.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "Yes."
            }
        ]
    },
    {
        "id": "cycle-hard-graph868",
        "image": "data/cycle/graph_visual/hard/graph868.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph1534",
        "image": "data/cycle/graph_visual/hard/graph1534.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
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        "id": "cycle-hard-graph1575",
        "image": "data/cycle/graph_visual/hard/graph1575.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
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        "id": "cycle-hard-graph82",
        "image": "data/cycle/graph_visual/hard/graph82.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "No."
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        ]
    },
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        "id": "cycle-hard-graph605",
        "image": "data/cycle/graph_visual/hard/graph605.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
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        "id": "cycle-hard-graph574",
        "image": "data/cycle/graph_visual/hard/graph574.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "No."
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        ]
    },
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        "id": "cycle-hard-graph1830",
        "image": "data/cycle/graph_visual/hard/graph1830.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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        ]
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        "id": "cycle-hard-graph720",
        "image": "data/cycle/graph_visual/hard/graph720.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "No."
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        ]
    },
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        "id": "cycle-hard-graph1940",
        "image": "data/cycle/graph_visual/hard/graph1940.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph1911",
        "image": "data/cycle/graph_visual/hard/graph1911.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph1738",
        "image": "data/cycle/graph_visual/hard/graph1738.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph1086",
        "image": "data/cycle/graph_visual/hard/graph1086.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph685",
        "image": "data/cycle/graph_visual/hard/graph685.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph1297",
        "image": "data/cycle/graph_visual/hard/graph1297.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
            }
        ]
    },
    {
        "id": "cycle-hard-graph1319",
        "image": "data/cycle/graph_visual/hard/graph1319.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "Yes."
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "No."
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
            }
        ]
    },
    {
        "id": "cycle-hard-graph195",
        "image": "data/cycle/graph_visual/hard/graph195.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
            }
        ]
    },
    {
        "id": "cycle-hard-graph1536",
        "image": "data/cycle/graph_visual/hard/graph1536.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
            }
        ]
    },
    {
        "id": "cycle-hard-graph447",
        "image": "data/cycle/graph_visual/hard/graph447.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
            }
        ]
    },
    {
        "id": "cycle-hard-graph1357",
        "image": "data/cycle/graph_visual/hard/graph1357.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
            }
        ]
    },
    {
        "id": "cycle-hard-graph962",
        "image": "data/cycle/graph_visual/hard/graph962.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
            }
        ]
    },
    {
        "id": "cycle-hard-graph1787",
        "image": "data/cycle/graph_visual/hard/graph1787.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
            }
        ]
    },
    {
        "id": "cycle-hard-graph1386",
        "image": "data/cycle/graph_visual/hard/graph1386.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
            }
        ]
    },
    {
        "id": "cycle-hard-graph1764",
        "image": "data/cycle/graph_visual/hard/graph1764.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
            }
        ]
    },
    {
        "id": "cycle-hard-graph235",
        "image": "data/cycle/graph_visual/hard/graph235.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
            }
        ]
    },
    {
        "id": "cycle-hard-graph1516",
        "image": "data/cycle/graph_visual/hard/graph1516.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
            }
        ]
    },
    {
        "id": "cycle-hard-graph500",
        "image": "data/cycle/graph_visual/hard/graph500.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
            }
        ]
    },
    {
        "id": "cycle-hard-graph1579",
        "image": "data/cycle/graph_visual/hard/graph1579.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
            }
        ]
    },
    {
        "id": "cycle-hard-graph155",
        "image": "data/cycle/graph_visual/hard/graph155.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
            }
        ]
    },
    {
        "id": "cycle-hard-graph1360",
        "image": "data/cycle/graph_visual/hard/graph1360.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
            }
        ]
    },
    {
        "id": "cycle-hard-graph957",
        "image": "data/cycle/graph_visual/hard/graph957.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
            }
        ]
    },
    {
        "id": "cycle-hard-graph1473",
        "image": "data/cycle/graph_visual/hard/graph1473.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
            }
        ]
    },
    {
        "id": "cycle-hard-graph1272",
        "image": "data/cycle/graph_visual/hard/graph1272.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
            }
        ]
    },
    {
        "id": "cycle-hard-graph49",
        "image": "data/cycle/graph_visual/hard/graph49.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
            }
        ]
    },
    {
        "id": "cycle-hard-graph165",
        "image": "data/cycle/graph_visual/hard/graph165.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
            }
        ]
    },
    {
        "id": "cycle-hard-graph1164",
        "image": "data/cycle/graph_visual/hard/graph1164.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
            }
        ]
    },
    {
        "id": "cycle-hard-graph792",
        "image": "data/cycle/graph_visual/hard/graph792.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
            }
        ]
    },
    {
        "id": "cycle-hard-graph1700",
        "image": "data/cycle/graph_visual/hard/graph1700.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph674",
        "image": "data/cycle/graph_visual/hard/graph674.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
            }
        ]
    },
    {
        "id": "cycle-hard-graph1151",
        "image": "data/cycle/graph_visual/hard/graph1151.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph543",
        "image": "data/cycle/graph_visual/hard/graph543.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
            }
        ]
    },
    {
        "id": "cycle-hard-graph1972",
        "image": "data/cycle/graph_visual/hard/graph1972.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph1505",
        "image": "data/cycle/graph_visual/hard/graph1505.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph256",
        "image": "data/cycle/graph_visual/hard/graph256.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
            }
        ]
    },
    {
        "id": "cycle-hard-graph1362",
        "image": "data/cycle/graph_visual/hard/graph1362.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph492",
        "image": "data/cycle/graph_visual/hard/graph492.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph839",
        "image": "data/cycle/graph_visual/hard/graph839.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph1132",
        "image": "data/cycle/graph_visual/hard/graph1132.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph1470",
        "image": "data/cycle/graph_visual/hard/graph1470.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph343",
        "image": "data/cycle/graph_visual/hard/graph343.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
            }
        ]
    },
    {
        "id": "cycle-hard-graph668",
        "image": "data/cycle/graph_visual/hard/graph668.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
            }
        ]
    },
    {
        "id": "cycle-hard-graph1987",
        "image": "data/cycle/graph_visual/hard/graph1987.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
            }
        ]
    },
    {
        "id": "cycle-hard-graph1995",
        "image": "data/cycle/graph_visual/hard/graph1995.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
            }
        ]
    },
    {
        "id": "cycle-hard-graph1904",
        "image": "data/cycle/graph_visual/hard/graph1904.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
            }
        ]
    },
    {
        "id": "cycle-hard-graph202",
        "image": "data/cycle/graph_visual/hard/graph202.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph607",
        "image": "data/cycle/graph_visual/hard/graph607.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph392",
        "image": "data/cycle/graph_visual/hard/graph392.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph501",
        "image": "data/cycle/graph_visual/hard/graph501.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph93",
        "image": "data/cycle/graph_visual/hard/graph93.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph1489",
        "image": "data/cycle/graph_visual/hard/graph1489.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph992",
        "image": "data/cycle/graph_visual/hard/graph992.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph1254",
        "image": "data/cycle/graph_visual/hard/graph1254.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph293",
        "image": "data/cycle/graph_visual/hard/graph293.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph1973",
        "image": "data/cycle/graph_visual/hard/graph1973.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
            }
        ]
    },
    {
        "id": "cycle-hard-graph930",
        "image": "data/cycle/graph_visual/hard/graph930.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph1417",
        "image": "data/cycle/graph_visual/hard/graph1417.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph395",
        "image": "data/cycle/graph_visual/hard/graph395.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph1983",
        "image": "data/cycle/graph_visual/hard/graph1983.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph491",
        "image": "data/cycle/graph_visual/hard/graph491.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
            }
        ]
    },
    {
        "id": "cycle-hard-graph972",
        "image": "data/cycle/graph_visual/hard/graph972.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph1290",
        "image": "data/cycle/graph_visual/hard/graph1290.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "Yes."
            }
        ]
    },
    {
        "id": "cycle-hard-graph1227",
        "image": "data/cycle/graph_visual/hard/graph1227.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
            }
        ]
    },
    {
        "id": "cycle-hard-graph1613",
        "image": "data/cycle/graph_visual/hard/graph1613.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
            }
        ]
    },
    {
        "id": "cycle-hard-graph1321",
        "image": "data/cycle/graph_visual/hard/graph1321.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
            }
        ]
    },
    {
        "id": "cycle-hard-graph1296",
        "image": "data/cycle/graph_visual/hard/graph1296.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
            }
        ]
    },
    {
        "id": "cycle-hard-graph261",
        "image": "data/cycle/graph_visual/hard/graph261.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
            }
        ]
    },
    {
        "id": "cycle-hard-graph1794",
        "image": "data/cycle/graph_visual/hard/graph1794.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
            }
        ]
    },
    {
        "id": "cycle-hard-graph1598",
        "image": "data/cycle/graph_visual/hard/graph1598.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
            }
        ]
    },
    {
        "id": "cycle-hard-graph444",
        "image": "data/cycle/graph_visual/hard/graph444.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
            }
        ]
    },
    {
        "id": "cycle-hard-graph582",
        "image": "data/cycle/graph_visual/hard/graph582.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
            }
        ]
    },
    {
        "id": "cycle-hard-graph488",
        "image": "data/cycle/graph_visual/hard/graph488.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
            }
        ]
    },
    {
        "id": "cycle-hard-graph1634",
        "image": "data/cycle/graph_visual/hard/graph1634.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
            }
        ]
    },
    {
        "id": "cycle-hard-graph1358",
        "image": "data/cycle/graph_visual/hard/graph1358.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
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        ]
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        "id": "cycle-hard-graph1241",
        "image": "data/cycle/graph_visual/hard/graph1241.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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        ]
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        "id": "cycle-hard-graph1555",
        "image": "data/cycle/graph_visual/hard/graph1555.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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        "id": "cycle-hard-graph241",
        "image": "data/cycle/graph_visual/hard/graph241.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
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    {
        "id": "cycle-hard-graph1307",
        "image": "data/cycle/graph_visual/hard/graph1307.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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        "id": "cycle-hard-graph929",
        "image": "data/cycle/graph_visual/hard/graph929.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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    {
        "id": "cycle-hard-graph648",
        "image": "data/cycle/graph_visual/hard/graph648.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "No."
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        "id": "cycle-hard-graph233",
        "image": "data/cycle/graph_visual/hard/graph233.png",
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "id": "cycle-hard-graph1381",
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "Yes."
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "Yes."
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "No."
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "No."
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "No."
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "No."
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "No."
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "No."
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "No."
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "No."
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "No."
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "No."
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph1967",
        "image": "data/cycle/graph_visual/hard/graph1967.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph326",
        "image": "data/cycle/graph_visual/hard/graph326.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph385",
        "image": "data/cycle/graph_visual/hard/graph385.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph834",
        "image": "data/cycle/graph_visual/hard/graph834.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph1294",
        "image": "data/cycle/graph_visual/hard/graph1294.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "Yes."
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        ]
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    {
        "id": "cycle-hard-graph1387",
        "image": "data/cycle/graph_visual/hard/graph1387.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
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        ]
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    {
        "id": "cycle-hard-graph1101",
        "image": "data/cycle/graph_visual/hard/graph1101.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "Yes."
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        ]
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    {
        "id": "cycle-hard-graph1244",
        "image": "data/cycle/graph_visual/hard/graph1244.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "Yes."
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    {
        "id": "cycle-hard-graph1656",
        "image": "data/cycle/graph_visual/hard/graph1656.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "Yes."
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        ]
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    {
        "id": "cycle-hard-graph254",
        "image": "data/cycle/graph_visual/hard/graph254.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "No."
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        ]
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    {
        "id": "cycle-hard-graph424",
        "image": "data/cycle/graph_visual/hard/graph424.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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    {
        "id": "cycle-hard-graph1278",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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        "id": "cycle-hard-graph702",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "No."
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    {
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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    {
        "id": "cycle-hard-graph106",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "No."
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    {
        "id": "cycle-hard-graph808",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "No."
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    {
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "Yes."
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "Yes."
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "Yes."
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "Yes."
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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        "id": "cycle-hard-graph234",
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
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        "id": "cycle-hard-graph1665",
        "image": "data/cycle/graph_visual/hard/graph1665.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph274",
        "image": "data/cycle/graph_visual/hard/graph274.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
            }
        ]
    },
    {
        "id": "cycle-hard-graph1985",
        "image": "data/cycle/graph_visual/hard/graph1985.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph1678",
        "image": "data/cycle/graph_visual/hard/graph1678.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph1265",
        "image": "data/cycle/graph_visual/hard/graph1265.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph246",
        "image": "data/cycle/graph_visual/hard/graph246.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph1545",
        "image": "data/cycle/graph_visual/hard/graph1545.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph62",
        "image": "data/cycle/graph_visual/hard/graph62.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph48",
        "image": "data/cycle/graph_visual/hard/graph48.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
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    {
        "id": "cycle-hard-graph1563",
        "image": "data/cycle/graph_visual/hard/graph1563.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "Yes."
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        ]
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    {
        "id": "cycle-hard-graph1671",
        "image": "data/cycle/graph_visual/hard/graph1671.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "Yes."
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        ]
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    {
        "id": "cycle-hard-graph1533",
        "image": "data/cycle/graph_visual/hard/graph1533.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "Yes."
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        ]
    },
    {
        "id": "cycle-hard-graph960",
        "image": "data/cycle/graph_visual/hard/graph960.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph190",
        "image": "data/cycle/graph_visual/hard/graph190.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
    },
    {
        "id": "cycle-hard-graph1986",
        "image": "data/cycle/graph_visual/hard/graph1986.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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    {
        "id": "cycle-hard-graph138",
        "image": "data/cycle/graph_visual/hard/graph138.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
            },
            {
                "from": "gpt",
                "value": "No."
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        ]
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    {
        "id": "cycle-hard-graph1565",
        "image": "data/cycle/graph_visual/hard/graph1565.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "Yes."
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        ]
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    {
        "id": "cycle-hard-graph1996",
        "image": "data/cycle/graph_visual/hard/graph1996.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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    {
        "id": "cycle-hard-graph1745",
        "image": "data/cycle/graph_visual/hard/graph1745.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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    {
        "id": "cycle-hard-graph1614",
        "image": "data/cycle/graph_visual/hard/graph1614.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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        "id": "cycle-hard-graph1615",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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    {
        "id": "cycle-hard-graph413",
        "image": "data/cycle/graph_visual/hard/graph413.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "No."
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        ]
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    {
        "id": "cycle-hard-graph1461",
        "image": "data/cycle/graph_visual/hard/graph1461.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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        "id": "cycle-hard-graph1310",
        "image": "data/cycle/graph_visual/hard/graph1310.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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        "id": "cycle-hard-graph315",
        "image": "data/cycle/graph_visual/hard/graph315.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "No."
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    {
        "id": "cycle-hard-graph963",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "id": "cycle-hard-graph252",
        "image": "data/cycle/graph_visual/hard/graph252.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "id": "cycle-hard-graph565",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "id": "cycle-hard-graph1739",
        "image": "data/cycle/graph_visual/hard/graph1739.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "Yes."
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        "id": "cycle-hard-graph405",
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "No."
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "No."
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        "id": "cycle-hard-graph90",
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
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        "id": "cycle-hard-graph1658",
        "image": "data/cycle/graph_visual/hard/graph1658.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "Yes."
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        "id": "cycle-hard-graph14",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "id": "cycle-hard-graph784",
        "image": "data/cycle/graph_visual/hard/graph784.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "id": "cycle-hard-graph380",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "id": "cycle-hard-graph869",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "id": "cycle-hard-graph1126",
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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        "id": "cycle-hard-graph1306",
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
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        "id": "cycle-hard-graph647",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "id": "cycle-hard-graph683",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "Yes."
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        "id": "cycle-hard-graph433",
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "No."
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
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        "id": "cycle-hard-graph1990",
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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        "id": "cycle-hard-graph846",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "id": "cycle-hard-graph220",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "id": "cycle-hard-graph528",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "No."
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        ]
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        "id": "cycle-hard-graph1680",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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        "id": "cycle-hard-graph1252",
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "Yes."
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        "id": "cycle-hard-graph671",
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "Yes."
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "id": "cycle-hard-graph1350",
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "Yes."
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "No."
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "No."
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        ]
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "No."
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "No."
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "Yes."
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "No."
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
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                "from": "human",
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                "from": "human",
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                "from": "human",
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                "from": "human",
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "gpt",
                "value": "No."
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        ]
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        "id": "cycle-hard-graph438",
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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        "id": "cycle-hard-graph1400",
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "Yes."
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        "conversations": [
            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "Yes."
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
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                "from": "human",
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                "from": "human",
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
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                "from": "human",
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
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                "from": "human",
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                "from": "human",
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                "from": "human",
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                "from": "human",
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                "from": "human",
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                "from": "human",
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "Yes."
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        ]
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "Yes."
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            {
                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "gpt",
                "value": "No."
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "No."
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
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                "from": "human",
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                "from": "human",
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "from": "human",
                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "No."
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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                "value": "<image>\nIs there a cycle in this undirected graph?"
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]