data/hamilton/QA/Vision_Only_test.json

[
    {
        "id": "hamilton-easy-graph220",
        "image": "data/hamilton/graph_visual/easy/graph220.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->5->4->2->7->6->1->8->3->9."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph129",
        "image": "data/hamilton/graph_visual/easy/graph129.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->4->2->3->6->5->7->8->1."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph227",
        "image": "data/hamilton/graph_visual/easy/graph227.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->1->3->7->8->4->6->5->9->2."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph68",
        "image": "data/hamilton/graph_visual/easy/graph68.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->2->3->4->5->1->7->6."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph29",
        "image": "data/hamilton/graph_visual/easy/graph29.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->6->5->3->2->1->4."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph196",
        "image": "data/hamilton/graph_visual/easy/graph196.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->6->7->4->9->3->8->2->5->1."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph50",
        "image": "data/hamilton/graph_visual/easy/graph50.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->1->5->6->4->3->2."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph169",
        "image": "data/hamilton/graph_visual/easy/graph169.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->4->3->5->7->1->8->2->6."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph151",
        "image": "data/hamilton/graph_visual/easy/graph151.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->8->1->6->4->2->5->7->3."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph233",
        "image": "data/hamilton/graph_visual/easy/graph233.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->2->4->8->7->5->1->9->6->3."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph147",
        "image": "data/hamilton/graph_visual/easy/graph147.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->8->7->4->3->6->2->1->5."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph202",
        "image": "data/hamilton/graph_visual/easy/graph202.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->2->1->5->9->3->8->4->6->7."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph134",
        "image": "data/hamilton/graph_visual/easy/graph134.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->2->7->4->3->1->5->6->8."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph122",
        "image": "data/hamilton/graph_visual/easy/graph122.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->6->7->5->2->4->3->8->1."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph270",
        "image": "data/hamilton/graph_visual/easy/graph270.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->3->8->4->1->5->9->6->2->7."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph81",
        "image": "data/hamilton/graph_visual/easy/graph81.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->5->3->1->2->6->7->4."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph257",
        "image": "data/hamilton/graph_visual/easy/graph257.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->6->8->1->5->9->2->7->3->4."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph162",
        "image": "data/hamilton/graph_visual/easy/graph162.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->2->5->7->3->6->4->1->8."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph288",
        "image": "data/hamilton/graph_visual/easy/graph288.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->1->3->8->2->5->6->9->7->4."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph96",
        "image": "data/hamilton/graph_visual/easy/graph96.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->2->7->3->4->5->6->1."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph289",
        "image": "data/hamilton/graph_visual/easy/graph289.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->4->7->1->9->8->5->6->3->2."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph281",
        "image": "data/hamilton/graph_visual/easy/graph281.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->8->1->4->7->5->2->6->9->3."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph97",
        "image": "data/hamilton/graph_visual/easy/graph97.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->4->1->7->6->2->3->5."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph109",
        "image": "data/hamilton/graph_visual/easy/graph109.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->2->4->1->6->7->8->3->5."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph161",
        "image": "data/hamilton/graph_visual/easy/graph161.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->2->4->8->5->3->6->1->7."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph108",
        "image": "data/hamilton/graph_visual/easy/graph108.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->3->1->5->7->4->8->2->6."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph22",
        "image": "data/hamilton/graph_visual/easy/graph22.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->1->2->5->3->4."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph258",
        "image": "data/hamilton/graph_visual/easy/graph258.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->9->3->5->2->8->1->4->7->6."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph235",
        "image": "data/hamilton/graph_visual/easy/graph235.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->8->6->2->7->1->9->4->5->3."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph171",
        "image": "data/hamilton/graph_visual/easy/graph171.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->3->1->4->7->5->2->8->6."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph285",
        "image": "data/hamilton/graph_visual/easy/graph285.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->4->6->5->7->2->9->8->3->1."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph274",
        "image": "data/hamilton/graph_visual/easy/graph274.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->9->3->4->6->5->8->2->1->7."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph84",
        "image": "data/hamilton/graph_visual/easy/graph84.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->3->5->1->6->7->4->2."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph283",
        "image": "data/hamilton/graph_visual/easy/graph283.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->7->5->9->1->6->8->3->4->2."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph222",
        "image": "data/hamilton/graph_visual/easy/graph222.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->7->9->8->4->1->5->2->3->6."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph292",
        "image": "data/hamilton/graph_visual/easy/graph292.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->1->8->9->4->7->6->2->3->5."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph279",
        "image": "data/hamilton/graph_visual/easy/graph279.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->5->3->1->6->9->8->2->7->4."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph297",
        "image": "data/hamilton/graph_visual/easy/graph297.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->3->4->8->6->1->5->9->2->7."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph159",
        "image": "data/hamilton/graph_visual/easy/graph159.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->4->3->5->8->1->2->7->6."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph25",
        "image": "data/hamilton/graph_visual/easy/graph25.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->5->1->3->2->4->6."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph145",
        "image": "data/hamilton/graph_visual/easy/graph145.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->2->4->6->5->8->1->3->7."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph103",
        "image": "data/hamilton/graph_visual/easy/graph103.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->1->6->5->3->7->2->4."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph182",
        "image": "data/hamilton/graph_visual/easy/graph182.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->2->6->1->3->7->4->8->5."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph187",
        "image": "data/hamilton/graph_visual/easy/graph187.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->2->3->7->5->1->6->8->4."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph199",
        "image": "data/hamilton/graph_visual/easy/graph199.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->8->7->4->3->2->1->5->6->9."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph116",
        "image": "data/hamilton/graph_visual/easy/graph116.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->3->8->7->1->2->4->6->5."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph118",
        "image": "data/hamilton/graph_visual/easy/graph118.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->2->3->1->7->4->6->8->5."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph165",
        "image": "data/hamilton/graph_visual/easy/graph165.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->7->1->3->5->8->4->6->2."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph256",
        "image": "data/hamilton/graph_visual/easy/graph256.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->1->9->8->3->5->6->2->7->4."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph254",
        "image": "data/hamilton/graph_visual/easy/graph254.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->9->8->1->7->2->3->5->6->4."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph4",
        "image": "data/hamilton/graph_visual/easy/graph4.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->1->3->4->2."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph105",
        "image": "data/hamilton/graph_visual/easy/graph105.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->7->6->2->3->4->8->5->1."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph26",
        "image": "data/hamilton/graph_visual/easy/graph26.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->6->2->4->5->1->3."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph173",
        "image": "data/hamilton/graph_visual/easy/graph173.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->8->4->1->3->2->6->7->5."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph246",
        "image": "data/hamilton/graph_visual/easy/graph246.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->6->7->4->2->9->8->1->5->3."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph0",
        "image": "data/hamilton/graph_visual/easy/graph0.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->2->1->3->4."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph45",
        "image": "data/hamilton/graph_visual/easy/graph45.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->1->6->3->5->4->2."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph124",
        "image": "data/hamilton/graph_visual/easy/graph124.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->1->8->7->4->3->6->2->5."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph164",
        "image": "data/hamilton/graph_visual/easy/graph164.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->1->4->5->6->3->2->7->8."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph219",
        "image": "data/hamilton/graph_visual/easy/graph219.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->8->7->4->3->2->5->1->6->9."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph168",
        "image": "data/hamilton/graph_visual/easy/graph168.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->6->2->4->7->5->1->8->3."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph158",
        "image": "data/hamilton/graph_visual/easy/graph158.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->5->2->8->7->3->4->6->1."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph251",
        "image": "data/hamilton/graph_visual/easy/graph251.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->5->8->3->4->9->7->6->1->2."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph275",
        "image": "data/hamilton/graph_visual/easy/graph275.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->4->8->6->9->3->7->2->5->1."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph60",
        "image": "data/hamilton/graph_visual/easy/graph60.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->5->3->1->7->4->6->2."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph291",
        "image": "data/hamilton/graph_visual/easy/graph291.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->3->6->2->5->4->1->9->8->7."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph120",
        "image": "data/hamilton/graph_visual/easy/graph120.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->8->7->5->1->6->2->3->4."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph141",
        "image": "data/hamilton/graph_visual/easy/graph141.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->3->5->6->4->1->2->7->8."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph86",
        "image": "data/hamilton/graph_visual/easy/graph86.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->5->1->7->3->2->6->4."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph127",
        "image": "data/hamilton/graph_visual/easy/graph127.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->2->3->7->8->4->6->1->5."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph280",
        "image": "data/hamilton/graph_visual/easy/graph280.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->3->6->2->5->8->7->1->9->4."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph286",
        "image": "data/hamilton/graph_visual/easy/graph286.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->6->5->9->4->3->8->1->7->2."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph66",
        "image": "data/hamilton/graph_visual/easy/graph66.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->7->5->2->4->1->3->6."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph11",
        "image": "data/hamilton/graph_visual/easy/graph11.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->5->2->1->3->4."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph99",
        "image": "data/hamilton/graph_visual/easy/graph99.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->5->1->6->4->2->3->7."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph252",
        "image": "data/hamilton/graph_visual/easy/graph252.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->9->5->1->3->6->4->2->8->7."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph155",
        "image": "data/hamilton/graph_visual/easy/graph155.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->7->2->8->6->3->1->4->5."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph80",
        "image": "data/hamilton/graph_visual/easy/graph80.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->1->5->2->7->4->6->3."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph121",
        "image": "data/hamilton/graph_visual/easy/graph121.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->1->4->7->6->3->2->8->5."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph36",
        "image": "data/hamilton/graph_visual/easy/graph36.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->3->2->5->6->1->4."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph32",
        "image": "data/hamilton/graph_visual/easy/graph32.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->4->6->2->1->3->5."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph295",
        "image": "data/hamilton/graph_visual/easy/graph295.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->3->2->5->9->1->6->7->8->4."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph210",
        "image": "data/hamilton/graph_visual/easy/graph210.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->5->2->1->9->4->8->3->6->7."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph153",
        "image": "data/hamilton/graph_visual/easy/graph153.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->4->7->2->3->8->1->5->6."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph132",
        "image": "data/hamilton/graph_visual/easy/graph132.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->8->7->2->4->3->6->5->1."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph216",
        "image": "data/hamilton/graph_visual/easy/graph216.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->2->7->1->9->5->4->8->3->6."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph287",
        "image": "data/hamilton/graph_visual/easy/graph287.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->6->4->5->3->9->2->1->8->7."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph14",
        "image": "data/hamilton/graph_visual/easy/graph14.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->5->3->2->1->4."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph178",
        "image": "data/hamilton/graph_visual/easy/graph178.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->1->5->8->4->6->7->2->3."
            }
        ]
    },
    {
        "id": "hamilton-easy-graph34",
        "image": "data/hamilton/graph_visual/easy/graph34.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->3->1->6->4->5->2."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph495",
        "image": "data/hamilton/graph_visual/hard/graph495.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->11->15->16->2->1->14->10->8->13->5->9->6->12->17->4->3->18->7."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph461",
        "image": "data/hamilton/graph_visual/hard/graph461.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->17->6->11->2->5->7->12->9->1->14->15->13->8->16->3->10->4."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph164",
        "image": "data/hamilton/graph_visual/hard/graph164.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->2->3->7->6->9->12->10->5->4->8->11->1."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph389",
        "image": "data/hamilton/graph_visual/hard/graph389.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->8->15->11->7->16->9->10->13->2->14->3->12->1->6->5->4."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph297",
        "image": "data/hamilton/graph_visual/hard/graph297.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->6->11->3->13->8->2->9->5->4->12->10->1->14->7."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph546",
        "image": "data/hamilton/graph_visual/hard/graph546.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->3->17->19->11->8->6->13->5->12->18->7->16->14->1->10->4->9->2->15."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph340",
        "image": "data/hamilton/graph_visual/hard/graph340.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->7->6->3->15->11->14->4->10->8->2->9->1->13->5->12."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph185",
        "image": "data/hamilton/graph_visual/hard/graph185.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->13->9->3->5->12->10->11->4->7->8->1->2->6."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph442",
        "image": "data/hamilton/graph_visual/hard/graph442.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->3->12->15->11->5->7->17->9->16->2->10->13->1->6->8->14->4."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph282",
        "image": "data/hamilton/graph_visual/hard/graph282.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->10->8->7->2->9->11->14->3->6->13->4->12->1->5."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph257",
        "image": "data/hamilton/graph_visual/hard/graph257.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->3->5->12->14->10->7->2->8->11->4->9->6->13->1."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph232",
        "image": "data/hamilton/graph_visual/hard/graph232.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->6->10->4->3->9->11->12->7->5->13->1->8->2."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph445",
        "image": "data/hamilton/graph_visual/hard/graph445.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->5->7->12->10->4->9->2->6->13->8->15->17->14->1->11->16->3."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph26",
        "image": "data/hamilton/graph_visual/hard/graph26.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->6->1->7->3->10->5->9->8->2->4."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph299",
        "image": "data/hamilton/graph_visual/hard/graph299.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->10->9->8->14->2->7->11->4->13->12->6->3->1->5."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph94",
        "image": "data/hamilton/graph_visual/hard/graph94.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->11->1->6->2->8->7->5->9->4->10->3."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph472",
        "image": "data/hamilton/graph_visual/hard/graph472.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->1->9->13->2->4->6->8->17->11->5->10->3->15->14->12->7->16."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph53",
        "image": "data/hamilton/graph_visual/hard/graph53.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->8->3->1->4->2->6->10->9->7->5."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph428",
        "image": "data/hamilton/graph_visual/hard/graph428.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->3->10->2->7->11->16->13->15->6->17->5->12->4->1->9->14->8."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph284",
        "image": "data/hamilton/graph_visual/hard/graph284.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->4->3->14->10->5->7->8->11->9->6->1->13->12->2."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph543",
        "image": "data/hamilton/graph_visual/hard/graph543.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->11->5->1->6->2->9->8->7->4->16->3->13->14->19->15->17->10->18->12."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph283",
        "image": "data/hamilton/graph_visual/hard/graph283.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->7->4->10->5->3->2->9->14->11->12->8->1->6->13."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph361",
        "image": "data/hamilton/graph_visual/hard/graph361.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->4->11->16->14->3->9->10->2->1->7->13->15->8->5->12->6."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph84",
        "image": "data/hamilton/graph_visual/hard/graph84.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->5->11->6->10->7->3->4->8->1->9->2."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph381",
        "image": "data/hamilton/graph_visual/hard/graph381.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->12->2->16->11->10->14->3->7->9->8->1->15->6->13->4->5."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph1",
        "image": "data/hamilton/graph_visual/hard/graph1.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->2->6->8->5->10->9->3->7->4->1."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph473",
        "image": "data/hamilton/graph_visual/hard/graph473.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->10->11->7->4->16->1->8->14->9->15->17->13->3->5->6->12->2."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph42",
        "image": "data/hamilton/graph_visual/hard/graph42.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->7->4->8->9->6->5->10->2->3->1."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph334",
        "image": "data/hamilton/graph_visual/hard/graph334.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->9->15->4->10->12->5->14->6->2->8->1->7->3->11->13."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph468",
        "image": "data/hamilton/graph_visual/hard/graph468.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->14->3->9->2->7->1->17->10->15->8->16->12->6->13->11->4->5."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph558",
        "image": "data/hamilton/graph_visual/hard/graph558.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->18->2->17->12->7->4->9->6->8->16->14->11->19->10->5->3->1->13->15."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph359",
        "image": "data/hamilton/graph_visual/hard/graph359.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->9->8->5->15->7->13->2->3->14->10->6->11->12->1->4."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph553",
        "image": "data/hamilton/graph_visual/hard/graph553.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->11->8->1->18->19->7->15->2->3->14->16->17->13->12->9->4->10->5->6."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph198",
        "image": "data/hamilton/graph_visual/hard/graph198.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->5->12->13->7->2->4->1->6->9->3->11->8->10."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph227",
        "image": "data/hamilton/graph_visual/hard/graph227.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->7->4->5->6->8->11->12->3->1->2->9->13->10."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph25",
        "image": "data/hamilton/graph_visual/hard/graph25.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->4->3->10->6->2->1->7->8->9->5."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph113",
        "image": "data/hamilton/graph_visual/hard/graph113.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->9->6->10->3->2->11->1->7->4->8->5."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph195",
        "image": "data/hamilton/graph_visual/hard/graph195.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->8->9->12->10->3->7->1->5->6->13->4->11->2."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph175",
        "image": "data/hamilton/graph_visual/hard/graph175.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->6->4->9->10->7->1->12->5->2->11->3->8."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph118",
        "image": "data/hamilton/graph_visual/hard/graph118.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->7->11->5->10->2->9->6->8->1->4->3."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph54",
        "image": "data/hamilton/graph_visual/hard/graph54.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->3->4->7->2->1->5->6->8->9->10."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph0",
        "image": "data/hamilton/graph_visual/hard/graph0.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->9->4->5->3->1->10->6->2->8->7."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph320",
        "image": "data/hamilton/graph_visual/hard/graph320.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->11->12->4->6->13->14->2->1->3->5->8->9->15->7->10."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph295",
        "image": "data/hamilton/graph_visual/hard/graph295.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->7->13->14->3->1->5->11->6->4->9->8->2->12->10."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph85",
        "image": "data/hamilton/graph_visual/hard/graph85.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->4->5->7->1->6->9->11->10->8->3->2."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph179",
        "image": "data/hamilton/graph_visual/hard/graph179.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->10->6->7->12->2->5->1->8->11->4->9->3."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph538",
        "image": "data/hamilton/graph_visual/hard/graph538.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->8->16->13->12->3->15->18->9->17->7->1->2->4->10->14->11->6->5."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph181",
        "image": "data/hamilton/graph_visual/hard/graph181.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->7->1->2->10->5->8->9->12->11->4->3->13->6."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph387",
        "image": "data/hamilton/graph_visual/hard/graph387.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->3->13->9->14->1->15->4->8->5->12->7->6->10->16->2->11."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph517",
        "image": "data/hamilton/graph_visual/hard/graph517.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->16->2->15->1->13->8->11->18->4->12->14->5->17->6->7->9->10->3."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph276",
        "image": "data/hamilton/graph_visual/hard/graph276.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->11->5->13->6->14->9->12->2->1->3->10->7->4->8."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph548",
        "image": "data/hamilton/graph_visual/hard/graph548.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->11->8->2->19->16->3->12->10->7->15->5->17->18->4->9->6->13->14->1."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph205",
        "image": "data/hamilton/graph_visual/hard/graph205.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->3->2->6->5->12->10->9->4->8->1->7->13->11."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph265",
        "image": "data/hamilton/graph_visual/hard/graph265.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->8->5->10->11->2->6->1->3->4->14->13->12->9->7."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph475",
        "image": "data/hamilton/graph_visual/hard/graph475.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->13->5->3->15->7->14->2->11->17->9->16->12->6->10->4->8->1."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph253",
        "image": "data/hamilton/graph_visual/hard/graph253.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->9->12->4->7->10->14->13->2->3->1->5->8->11->6."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph502",
        "image": "data/hamilton/graph_visual/hard/graph502.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->5->14->8->12->16->11->9->15->4->2->1->7->3->6->10->18->17->13."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph142",
        "image": "data/hamilton/graph_visual/hard/graph142.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->4->6->3->11->12->2->8->7->5->10->9->1."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph578",
        "image": "data/hamilton/graph_visual/hard/graph578.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->2->19->14->9->7->17->13->5->15->16->10->6->12->11->18->3->8->1->4."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph439",
        "image": "data/hamilton/graph_visual/hard/graph439.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->17->6->14->9->13->15->8->4->3->2->12->16->10->7->5->11->1."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph102",
        "image": "data/hamilton/graph_visual/hard/graph102.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->10->9->6->8->2->4->5->3->1->11->7."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph516",
        "image": "data/hamilton/graph_visual/hard/graph516.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->9->17->13->15->7->18->1->10->2->11->14->12->3->8->6->4->5->16."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph408",
        "image": "data/hamilton/graph_visual/hard/graph408.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->8->1->13->9->15->5->10->4->3->2->16->7->11->14->6->12."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph275",
        "image": "data/hamilton/graph_visual/hard/graph275.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->3->1->9->10->6->8->13->14->12->5->4->11->2->7."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph77",
        "image": "data/hamilton/graph_visual/hard/graph77.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->3->5->11->1->7->10->9->2->4->6->8."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph447",
        "image": "data/hamilton/graph_visual/hard/graph447.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->10->15->14->4->5->17->12->1->11->16->8->3->9->7->2->6->13."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph333",
        "image": "data/hamilton/graph_visual/hard/graph333.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->1->13->9->8->2->15->11->10->14->4->6->3->5->7->12."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph571",
        "image": "data/hamilton/graph_visual/hard/graph571.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->8->2->10->14->19->16->11->9->6->5->15->7->13->1->18->4->3->17->12."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph266",
        "image": "data/hamilton/graph_visual/hard/graph266.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->3->2->8->14->5->13->1->11->7->10->6->4->9->12."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph61",
        "image": "data/hamilton/graph_visual/hard/graph61.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->11->2->3->1->5->10->7->8->9->4->6."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph437",
        "image": "data/hamilton/graph_visual/hard/graph437.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->1->2->15->3->14->16->5->12->10->9->13->6->4->7->11->17->8."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph73",
        "image": "data/hamilton/graph_visual/hard/graph73.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->11->7->2->6->9->1->5->4->10->8->3."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph36",
        "image": "data/hamilton/graph_visual/hard/graph36.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->3->10->9->2->7->8->6->1->5->4."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph568",
        "image": "data/hamilton/graph_visual/hard/graph568.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->15->8->14->9->3->13->17->4->11->19->1->18->6->16->12->10->5->7->2."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph121",
        "image": "data/hamilton/graph_visual/hard/graph121.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->9->10->11->2->7->5->4->12->6->8->3->1."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph191",
        "image": "data/hamilton/graph_visual/hard/graph191.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->4->8->5->1->11->10->12->6->2->3->13->9->7."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph37",
        "image": "data/hamilton/graph_visual/hard/graph37.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->7->2->4->8->9->10->6->1->3->5."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph554",
        "image": "data/hamilton/graph_visual/hard/graph554.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->7->3->2->5->10->9->1->11->8->13->19->16->15->18->6->14->12->4->17."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph208",
        "image": "data/hamilton/graph_visual/hard/graph208.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->3->9->10->1->8->4->6->11->7->13->5->12->2."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph574",
        "image": "data/hamilton/graph_visual/hard/graph574.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->12->17->18->2->16->6->15->14->8->9->5->4->1->3->7->13->11->10->19."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph292",
        "image": "data/hamilton/graph_visual/hard/graph292.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->3->13->11->5->4->6->1->12->10->9->2->14->7->8."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph280",
        "image": "data/hamilton/graph_visual/hard/graph280.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->13->7->14->1->9->12->8->3->5->2->6->4->10->11."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph466",
        "image": "data/hamilton/graph_visual/hard/graph466.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->7->8->3->16->6->11->14->10->13->5->2->4->17->15->12->9->1."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph375",
        "image": "data/hamilton/graph_visual/hard/graph375.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->1->3->10->4->12->16->11->8->13->7->6->14->5->9->2->15."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph458",
        "image": "data/hamilton/graph_visual/hard/graph458.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->15->13->10->5->9->11->17->14->16->4->7->1->8->2->6->3->12."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph130",
        "image": "data/hamilton/graph_visual/hard/graph130.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->4->9->7->5->3->12->6->2->11->1->8->10."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph220",
        "image": "data/hamilton/graph_visual/hard/graph220.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->3->10->9->6->8->5->11->4->1->12->2->7->13."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph20",
        "image": "data/hamilton/graph_visual/hard/graph20.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->7->5->1->10->3->6->9->8->2->4."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph82",
        "image": "data/hamilton/graph_visual/hard/graph82.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->5->1->7->10->8->3->2->9->4->6->11."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph591",
        "image": "data/hamilton/graph_visual/hard/graph591.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->18->19->4->13->9->16->14->6->1->12->15->17->10->2->11->5->3->8->7."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph126",
        "image": "data/hamilton/graph_visual/hard/graph126.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->8->3->12->5->10->2->6->9->4->7->11->1."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph402",
        "image": "data/hamilton/graph_visual/hard/graph402.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->11->13->6->9->5->4->3->1->10->12->16->7->8->2->15->14."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph95",
        "image": "data/hamilton/graph_visual/hard/graph95.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->4->6->10->9->7->11->5->1->8->2->3."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph35",
        "image": "data/hamilton/graph_visual/hard/graph35.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->5->1->4->3->9->2->7->10->6->8."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph481",
        "image": "data/hamilton/graph_visual/hard/graph481.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->6->16->13->3->11->2->12->5->10->15->7->17->14->1->8->9->4->18."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph323",
        "image": "data/hamilton/graph_visual/hard/graph323.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->8->13->1->15->9->3->14->7->10->6->4->11->2->5->12."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph470",
        "image": "data/hamilton/graph_visual/hard/graph470.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->1->9->2->5->16->13->11->3->4->17->15->12->14->8->6->10->7."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph420",
        "image": "data/hamilton/graph_visual/hard/graph420.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->16->3->1->8->12->9->10->14->7->2->5->11->15->13->4->17->6."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph120",
        "image": "data/hamilton/graph_visual/hard/graph120.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->4->1->6->3->9->11->7->8->12->2->5->10."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph131",
        "image": "data/hamilton/graph_visual/hard/graph131.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->5->2->11->12->3->6->1->7->9->8->4->10."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph537",
        "image": "data/hamilton/graph_visual/hard/graph537.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->14->11->3->2->1->18->12->10->15->8->7->9->4->5->16->17->13->6."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph306",
        "image": "data/hamilton/graph_visual/hard/graph306.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->8->9->12->4->14->7->6->11->1->3->5->10->13->2->15."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph287",
        "image": "data/hamilton/graph_visual/hard/graph287.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->6->4->1->8->14->3->5->7->2->12->11->13->9->10."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph545",
        "image": "data/hamilton/graph_visual/hard/graph545.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->8->4->11->13->1->15->16->10->2->6->12->9->5->3->7->14->18->19->17."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph587",
        "image": "data/hamilton/graph_visual/hard/graph587.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->15->17->4->11->10->16->7->9->12->19->8->1->13->5->3->18->14->2->6."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph596",
        "image": "data/hamilton/graph_visual/hard/graph596.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->10->5->15->7->14->12->13->3->6->9->4->19->16->18->2->1->17->8->11."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph552",
        "image": "data/hamilton/graph_visual/hard/graph552.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->10->16->9->12->19->14->15->17->11->4->8->3->7->5->13->18->1->6->2."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph56",
        "image": "data/hamilton/graph_visual/hard/graph56.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->9->2->10->8->1->4->3->6->7->5."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph255",
        "image": "data/hamilton/graph_visual/hard/graph255.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->8->9->10->7->3->12->4->5->14->2->11->1->13->6."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph471",
        "image": "data/hamilton/graph_visual/hard/graph471.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->6->12->16->8->7->2->5->3->9->13->10->15->11->17->4->1->14."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph360",
        "image": "data/hamilton/graph_visual/hard/graph360.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->10->4->15->11->2->16->7->9->1->12->14->5->13->8->6->3."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph127",
        "image": "data/hamilton/graph_visual/hard/graph127.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->3->11->4->12->6->7->2->8->9->5->10->1."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph492",
        "image": "data/hamilton/graph_visual/hard/graph492.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->6->17->5->1->18->7->10->12->15->16->14->3->2->8->4->13->11->9."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph501",
        "image": "data/hamilton/graph_visual/hard/graph501.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->6->14->13->2->18->17->1->5->3->4->15->7->9->12->10->11->8->16."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph34",
        "image": "data/hamilton/graph_visual/hard/graph34.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->10->1->4->2->8->9->3->6->7->5."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph143",
        "image": "data/hamilton/graph_visual/hard/graph143.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->11->4->8->9->1->10->2->6->12->3->7->5."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph109",
        "image": "data/hamilton/graph_visual/hard/graph109.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->2->4->3->10->1->5->11->9->7->8->6."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph525",
        "image": "data/hamilton/graph_visual/hard/graph525.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->16->9->6->18->17->12->14->15->1->4->8->5->13->3->7->11->2->10."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph58",
        "image": "data/hamilton/graph_visual/hard/graph58.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->6->8->1->9->7->10->4->2->5->3."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph410",
        "image": "data/hamilton/graph_visual/hard/graph410.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->9->13->2->11->8->7->16->5->14->12->15->6->4->1->10->3."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph539",
        "image": "data/hamilton/graph_visual/hard/graph539.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->17->4->10->15->13->8->14->7->1->3->5->12->18->9->2->6->16->11."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph202",
        "image": "data/hamilton/graph_visual/hard/graph202.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->1->7->3->9->8->11->2->5->13->6->10->12->4."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph267",
        "image": "data/hamilton/graph_visual/hard/graph267.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->4->5->9->6->7->10->8->3->13->11->2->12->1->14."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph559",
        "image": "data/hamilton/graph_visual/hard/graph559.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->9->13->3->15->7->17->11->5->14->18->8->10->2->16->1->12->19->6->4."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph169",
        "image": "data/hamilton/graph_visual/hard/graph169.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->1->10->11->2->7->6->5->4->9->12->8->3."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph365",
        "image": "data/hamilton/graph_visual/hard/graph365.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->10->7->8->16->11->2->12->6->9->3->4->14->5->15->13->1."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph41",
        "image": "data/hamilton/graph_visual/hard/graph41.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->10->3->1->6->5->9->8->2->4->7."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph210",
        "image": "data/hamilton/graph_visual/hard/graph210.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->3->7->5->6->1->10->13->12->9->11->8->2->4."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph401",
        "image": "data/hamilton/graph_visual/hard/graph401.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->12->14->8->2->16->5->13->7->15->1->3->11->10->9->6->4."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph528",
        "image": "data/hamilton/graph_visual/hard/graph528.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->18->7->4->15->8->11->16->14->1->13->5->2->3->17->6->9->12->10."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph89",
        "image": "data/hamilton/graph_visual/hard/graph89.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->7->11->10->5->4->8->2->6->1->3->9."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph322",
        "image": "data/hamilton/graph_visual/hard/graph322.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->4->2->5->7->9->13->1->6->15->14->12->8->3->10->11."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph550",
        "image": "data/hamilton/graph_visual/hard/graph550.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->13->16->3->18->5->6->11->9->19->7->2->17->8->15->14->10->4->12->1."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph46",
        "image": "data/hamilton/graph_visual/hard/graph46.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->9->5->6->8->4->10->3->7->2->1."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph161",
        "image": "data/hamilton/graph_visual/hard/graph161.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->5->3->4->9->7->2->11->6->1->10->12->8."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph362",
        "image": "data/hamilton/graph_visual/hard/graph362.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->15->16->14->9->7->10->12->13->2->5->11->6->8->4->1->3."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph122",
        "image": "data/hamilton/graph_visual/hard/graph122.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->1->2->9->12->7->5->4->11->8->3->10->6."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph211",
        "image": "data/hamilton/graph_visual/hard/graph211.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->6->7->4->1->9->11->2->13->5->12->10->3->8."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph563",
        "image": "data/hamilton/graph_visual/hard/graph563.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->7->5->4->15->1->10->3->9->13->11->19->12->18->8->6->17->16->2->14."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph52",
        "image": "data/hamilton/graph_visual/hard/graph52.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->8->3->2->7->5->9->10->1->6->4."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph500",
        "image": "data/hamilton/graph_visual/hard/graph500.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->17->5->8->2->15->14->1->16->7->9->10->4->13->11->12->3->18->6."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph180",
        "image": "data/hamilton/graph_visual/hard/graph180.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->9->11->8->2->12->5->6->7->4->1->10->3->13."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph76",
        "image": "data/hamilton/graph_visual/hard/graph76.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->7->2->11->10->3->8->6->5->4->9->1."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph40",
        "image": "data/hamilton/graph_visual/hard/graph40.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->4->2->10->5->3->1->8->6->7->9."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph88",
        "image": "data/hamilton/graph_visual/hard/graph88.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->10->1->6->2->8->9->3->5->11->7->4."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph413",
        "image": "data/hamilton/graph_visual/hard/graph413.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->14->4->9->8->13->12->3->10->7->5->15->11->6->1->2->16."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph128",
        "image": "data/hamilton/graph_visual/hard/graph128.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->12->9->2->10->7->11->6->4->5->8->3->1."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph165",
        "image": "data/hamilton/graph_visual/hard/graph165.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->2->10->5->8->3->7->12->6->11->1->9->4."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph100",
        "image": "data/hamilton/graph_visual/hard/graph100.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->6->5->7->1->3->9->8->11->2->10->4."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph167",
        "image": "data/hamilton/graph_visual/hard/graph167.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->3->6->11->9->1->12->8->2->10->7->5->4."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph378",
        "image": "data/hamilton/graph_visual/hard/graph378.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->15->12->1->16->3->13->2->7->10->11->8->4->9->5->6->14."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph8",
        "image": "data/hamilton/graph_visual/hard/graph8.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->2->3->6->1->9->10->5->8->7->4."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph134",
        "image": "data/hamilton/graph_visual/hard/graph134.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->12->5->8->4->10->7->1->11->2->6->3->9."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph317",
        "image": "data/hamilton/graph_visual/hard/graph317.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->3->8->9->1->5->11->4->15->2->7->13->10->14->6->12."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph166",
        "image": "data/hamilton/graph_visual/hard/graph166.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->1->3->12->6->11->4->2->9->8->7->10->5."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph463",
        "image": "data/hamilton/graph_visual/hard/graph463.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->8->1->15->4->13->3->7->9->6->11->17->5->10->2->16->14->12."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph459",
        "image": "data/hamilton/graph_visual/hard/graph459.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->5->11->8->3->10->12->15->1->6->13->14->4->9->7->17->16->2."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph16",
        "image": "data/hamilton/graph_visual/hard/graph16.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->3->7->10->4->1->9->8->5->2->6."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph326",
        "image": "data/hamilton/graph_visual/hard/graph326.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->12->7->9->8->6->2->14->5->15->10->3->11->13->1->4."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph155",
        "image": "data/hamilton/graph_visual/hard/graph155.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->12->10->11->9->1->6->7->3->5->8->4->2."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph105",
        "image": "data/hamilton/graph_visual/hard/graph105.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->9->4->11->7->5->1->8->3->6->2->10."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph90",
        "image": "data/hamilton/graph_visual/hard/graph90.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->10->5->6->1->3->11->8->9->7->2->4."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph239",
        "image": "data/hamilton/graph_visual/hard/graph239.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->4->2->3->6->10->13->11->5->12->9->7->8->1."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph549",
        "image": "data/hamilton/graph_visual/hard/graph549.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->9->3->8->4->7->18->2->17->5->19->16->10->11->13->6->14->1->15->12."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph588",
        "image": "data/hamilton/graph_visual/hard/graph588.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->10->13->8->7->16->3->12->18->19->1->14->2->6->15->9->11->5->4->17."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph598",
        "image": "data/hamilton/graph_visual/hard/graph598.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->14->19->4->16->11->1->17->8->15->12->7->5->13->2->9->10->18->6->3."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph171",
        "image": "data/hamilton/graph_visual/hard/graph171.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->11->10->6->3->4->7->8->12->9->1->5->2."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph204",
        "image": "data/hamilton/graph_visual/hard/graph204.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->11->8->5->9->1->3->10->2->12->13->4->6->7."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph213",
        "image": "data/hamilton/graph_visual/hard/graph213.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->8->5->3->4->2->7->13->6->12->11->1->10->9."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph273",
        "image": "data/hamilton/graph_visual/hard/graph273.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->13->1->8->11->2->9->6->10->12->4->3->14->7->5."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph112",
        "image": "data/hamilton/graph_visual/hard/graph112.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->9->10->11->1->8->4->7->6->2->5->3."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph415",
        "image": "data/hamilton/graph_visual/hard/graph415.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->11->5->9->15->8->3->16->7->13->14->12->10->2->1->4->6."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph484",
        "image": "data/hamilton/graph_visual/hard/graph484.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->5->4->11->7->3->8->13->1->9->18->12->6->14->15->17->2->16->10."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph570",
        "image": "data/hamilton/graph_visual/hard/graph570.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->8->17->12->13->3->7->5->15->6->2->14->4->1->11->18->10->16->9->19."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph203",
        "image": "data/hamilton/graph_visual/hard/graph203.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->7->10->6->3->9->2->8->5->11->1->12->4->13."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph12",
        "image": "data/hamilton/graph_visual/hard/graph12.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->10->9->1->7->6->5->3->2->4->8."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph194",
        "image": "data/hamilton/graph_visual/hard/graph194.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->1->6->7->13->11->8->2->5->9->10->3->12->4."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph158",
        "image": "data/hamilton/graph_visual/hard/graph158.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->11->2->4->12->6->1->8->10->3->5->7->9."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph30",
        "image": "data/hamilton/graph_visual/hard/graph30.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->10->5->6->4->8->7->9->2->3->1."
            }
        ]
    },
    {
        "id": "hamilton-hard-graph350",
        "image": "data/hamilton/graph_visual/hard/graph350.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nQ: Begin with node 0, what is the path in this graph that visits every node exactly once?"
            },
            {
                "from": "gpt",
                "value": "0->5->2->13->10->15->8->12->6->9->14->4->7->3->1->11."
            }
        ]
    }
]