Datasets:

HKUST-DSAIL
/

Graph-R1-dataset-level-5

import pandas as pd

# Load training data
train_df = pd.read_parquet('train_graph_level_5.parquet')

# Load test data  
test_df = pd.read_parquet('test_graph_and_math_level_5.parquet')

Citation

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12.4 MB

Size of the auto-converted Parquet files:

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Number of rows:

11,000

data_source stringclasses 3 values	prompt listlengths 2 2	reward_model dict	extra_info dict
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), C (atom 1), N (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 1-6, 2-3, 3-4, 4-5, 4-8, 5-6, 5-7.\nMolecule B:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), C (atom 3), N (atom 4), C (atom 5), N (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 3-4, 3-7, 4-5, 5-6, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 4, "style": "rule" }	{ "exact_answer": 4, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"N\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 1, \"target\": 6}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 4, \"target\": 8}, {\"label\": 1, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 5, \"target\": 7}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"N\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"N\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 2, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 3, \"target\": 7}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 3, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 7, \"target\": 8}]}]", "id": 0, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), C (atom 1), N (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 1-6, 2-3, 3-4, 4-5, 4-8, 5-6, 5-7.\nMolecule B:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), C (atom 3), N (atom 4), C (atom 5), N (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 3-4, 3-7, 4-5, 5-6, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 1-8, 2-3, 2-7, 3-4, 3-5, 5-6, 6-7.\nMolecule B:\n- Atoms: O (atom 0), O (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), S (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-7, 3-4, 4-5, 5-6, 6-7, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 5, "style": "rule" }	{ "exact_answer": 5, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 1, \"target\": 8}, {\"label\": 2, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 2, \"target\": 7}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 3, \"target\": 5}, {\"label\": 1, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 6, \"target\": 7}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"O\", \"id\": 0}, {\"label\": \"O\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"S\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 12, \"source\": 2, \"target\": 3}, {\"label\": 12, \"source\": 2, \"target\": 7}, {\"label\": 12, \"source\": 3, \"target\": 4}, {\"label\": 12, \"source\": 4, \"target\": 5}, {\"label\": 12, \"source\": 5, \"target\": 6}, {\"label\": 12, \"source\": 6, \"target\": 7}, {\"label\": 1, \"source\": 7, \"target\": 8}]}]", "id": 1, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 1-8, 2-3, 2-7, 3-4, 3-5, 5-6, 6-7.\nMolecule B:\n- Atoms: O (atom 0), O (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), S (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-7, 3-4, 4-5, 5-6, 6-7, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: N (atom 0), C (atom 1), N (atom 2), N (atom 3), C (atom 4), C (atom 5), O (atom 6), O (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 1-3, 3-4, 4-5, 4-8, 5-6, 5-7.\nMolecule B:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), C (atom 3), O (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 1-5, 2-3, 3-4, 3-8, 4-5, 5-6, 5-7, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 7, "style": "rule" }	{ "exact_answer": 7, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"N\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"N\", \"id\": 2}, {\"label\": \"N\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"O\", \"id\": 6}, {\"label\": \"O\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 2, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 1, \"target\": 3}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 4, \"target\": 8}, {\"label\": 2, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 5, \"target\": 7}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"O\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 1, \"target\": 5}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 3, \"target\": 8}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 5, \"target\": 7}, {\"label\": 1, \"source\": 7, \"target\": 8}]}]", "id": 2, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: N (atom 0), C (atom 1), N (atom 2), N (atom 3), C (atom 4), C (atom 5), O (atom 6), O (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 1-3, 3-4, 4-5, 4-8, 5-6, 5-7.\nMolecule B:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), C (atom 3), O (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 1-5, 2-3, 3-4, 3-8, 4-5, 5-6, 5-7, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), N (atom 1), N (atom 2), C (atom 3), C (atom 4), C (atom 5), N (atom 6), C (atom 7), O (atom 8).\n- Bonds: 0-1, 1-2, 1-5, 2-3, 3-4, 3-8, 4-5, 4-7, 5-6.\nMolecule B:\n- Atoms: C (atom 0), C (atom 1), O (atom 2), C (atom 3), S (atom 4), C (atom 5), C (atom 6), C (atom 7), Br (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 3-4, 3-7, 4-5, 5-6, 6-7, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 7, "style": "rule" }	{ "exact_answer": 7, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"N\", \"id\": 1}, {\"label\": \"N\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"N\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"O\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 12, \"source\": 1, \"target\": 2}, {\"label\": 12, \"source\": 1, \"target\": 5}, {\"label\": 12, \"source\": 2, \"target\": 3}, {\"label\": 12, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 3, \"target\": 8}, {\"label\": 12, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 4, \"target\": 7}, {\"label\": 1, \"source\": 5, \"target\": 6}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"O\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"S\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"Br\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 12, \"source\": 3, \"target\": 4}, {\"label\": 12, \"source\": 3, \"target\": 7}, {\"label\": 12, \"source\": 4, \"target\": 5}, {\"label\": 12, \"source\": 5, \"target\": 6}, {\"label\": 12, \"source\": 6, \"target\": 7}, {\"label\": 1, \"source\": 7, \"target\": 8}]}]", "id": 3, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), N (atom 1), N (atom 2), C (atom 3), C (atom 4), C (atom 5), N (atom 6), C (atom 7), O (atom 8).\n- Bonds: 0-1, 1-2, 1-5, 2-3, 3-4, 3-8, 4-5, 4-7, 5-6.\nMolecule B:\n- Atoms: C (atom 0), C (atom 1), O (atom 2), C (atom 3), S (atom 4), C (atom 5), C (atom 6), C (atom 7), Br (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 3-4, 3-7, 4-5, 5-6, 6-7, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), O (atom 1), C (atom 2), O (atom 3), N (atom 4), N (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-4, 4-5, 4-6, 5-6, 6-7, 6-8.\nMolecule B:\n- Atoms: C (atom 0), O (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), O (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-8, 2-7, 3-4, 4-5, 5-6, 6-7, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 7, "style": "rule" }	{ "exact_answer": 7, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"O\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"O\", \"id\": 3}, {\"label\": \"N\", \"id\": 4}, {\"label\": \"N\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 2, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 2, \"target\": 4}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 4, \"target\": 6}, {\"label\": 1, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 6, \"target\": 7}, {\"label\": 1, \"source\": 6, \"target\": 8}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"O\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"O\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 2, \"target\": 8}, {\"label\": 1, \"source\": 2, \"target\": 7}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 6, \"target\": 7}, {\"label\": 1, \"source\": 7, \"target\": 8}]}]", "id": 4, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), O (atom 1), C (atom 2), O (atom 3), N (atom 4), N (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-4, 4-5, 4-6, 5-6, 6-7, 6-8.\nMolecule B:\n- Atoms: C (atom 0), O (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), O (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-8, 2-7, 3-4, 4-5, 5-6, 6-7, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), C (atom 3), C (atom 4), O (atom 5), O (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 1-8, 2-3, 3-4, 3-7, 4-5, 4-6.\nMolecule B:\n- Atoms: N (atom 0), O (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), O (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 3-4, 3-7, 4-5, 5-6, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 6, "style": "rule" }	{ "exact_answer": 6, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"O\", \"id\": 5}, {\"label\": \"O\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 1, \"target\": 8}, {\"label\": 2, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 3, \"target\": 7}, {\"label\": 2, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 4, \"target\": 6}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"N\", \"id\": 0}, {\"label\": \"O\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"O\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 3, \"target\": 7}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 7, \"target\": 8}]}]", "id": 5, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), C (atom 3), C (atom 4), O (atom 5), O (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 1-8, 2-3, 3-4, 3-7, 4-5, 4-6.\nMolecule B:\n- Atoms: N (atom 0), O (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), O (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 3-4, 3-7, 4-5, 5-6, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), N (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), Cl (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-7, 3-4, 4-5, 5-6, 6-7, 6-8.\nMolecule B:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), Si (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), F (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 3-4, 3-6, 3-8, 4-5, 6-7.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 6, "style": "rule" }	{ "exact_answer": 6, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"N\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"Cl\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 12, \"source\": 2, \"target\": 3}, {\"label\": 12, \"source\": 2, \"target\": 7}, {\"label\": 12, \"source\": 3, \"target\": 4}, {\"label\": 12, \"source\": 4, \"target\": 5}, {\"label\": 12, \"source\": 5, \"target\": 6}, {\"label\": 12, \"source\": 6, \"target\": 7}, {\"label\": 1, \"source\": 6, \"target\": 8}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"Si\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"F\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 3, \"target\": 6}, {\"label\": 1, \"source\": 3, \"target\": 8}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 6, \"target\": 7}]}]", "id": 6, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), N (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), Cl (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-7, 3-4, 4-5, 5-6, 6-7, 6-8.\nMolecule B:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), Si (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), F (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 3-4, 3-6, 3-8, 4-5, 6-7.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: Cl (atom 0), C (atom 1), C (atom 2), N (atom 3), N (atom 4), N (atom 5), N (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-6, 3-4, 4-5, 5-6, 5-7, 7-8.\nMolecule B:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), N (atom 3), N (atom 4), C (atom 5), C (atom 6), C (atom 7), O (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 3-4, 3-7, 4-5, 5-6, 6-7, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 7, "style": "rule" }	{ "exact_answer": 7, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"Cl\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"N\", \"id\": 3}, {\"label\": \"N\", \"id\": 4}, {\"label\": \"N\", \"id\": 5}, {\"label\": \"N\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 2, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 2, \"target\": 6}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 5, \"target\": 7}, {\"label\": 2, \"source\": 7, \"target\": 8}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"N\", \"id\": 3}, {\"label\": \"N\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"O\", \"id\": 8}], \"links\": [{\"label\": 2, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 3, \"target\": 7}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 6, \"target\": 7}, {\"label\": 2, \"source\": 7, \"target\": 8}]}]", "id": 7, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: Cl (atom 0), C (atom 1), C (atom 2), N (atom 3), N (atom 4), N (atom 5), N (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-6, 3-4, 4-5, 5-6, 5-7, 7-8.\nMolecule B:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), N (atom 3), N (atom 4), C (atom 5), C (atom 6), C (atom 7), O (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 3-4, 3-7, 4-5, 5-6, 6-7, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: N (atom 0), C (atom 1), C (atom 2), N (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), N (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-7, 3-4, 4-5, 5-6, 6-7, 6-8.\nMolecule B:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), O (atom 3), O (atom 4), C (atom 5), C (atom 6), Cl (atom 7), S (atom 8).\n- Bonds: 0-1, 1-2, 1-6, 1-8, 2-3, 2-4, 4-5, 6-7.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 7, "style": "rule" }	{ "exact_answer": 7, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"N\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"N\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"N\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 12, \"source\": 2, \"target\": 3}, {\"label\": 12, \"source\": 2, \"target\": 7}, {\"label\": 12, \"source\": 3, \"target\": 4}, {\"label\": 12, \"source\": 4, \"target\": 5}, {\"label\": 12, \"source\": 5, \"target\": 6}, {\"label\": 12, \"source\": 6, \"target\": 7}, {\"label\": 1, \"source\": 6, \"target\": 8}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"O\", \"id\": 3}, {\"label\": \"O\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"Cl\", \"id\": 7}, {\"label\": \"S\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 1, \"target\": 6}, {\"label\": 1, \"source\": 1, \"target\": 8}, {\"label\": 2, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 2, \"target\": 4}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 6, \"target\": 7}]}]", "id": 8, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: N (atom 0), C (atom 1), C (atom 2), N (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), N (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-7, 3-4, 4-5, 5-6, 6-7, 6-8.\nMolecule B:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), O (atom 3), O (atom 4), C (atom 5), C (atom 6), Cl (atom 7), S (atom 8).\n- Bonds: 0-1, 1-2, 1-6, 1-8, 2-3, 2-4, 4-5, 6-7.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), C (atom 3), O (atom 4), C (atom 5), O (atom 6), O (atom 7), O (atom 8).\n- Bonds: 0-1, 1-2, 1-8, 2-3, 3-4, 4-5, 5-6, 5-7.\nMolecule B:\n- Atoms: N (atom 0), C (atom 1), C (atom 2), C (atom 3), C (atom 4), S (atom 5), C (atom 6), O (atom 7), O (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-6, 3-4, 4-5, 4-8, 5-6, 6-7.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 6, "style": "rule" }	{ "exact_answer": 6, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"O\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"O\", \"id\": 6}, {\"label\": \"O\", \"id\": 7}, {\"label\": \"O\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 1, \"target\": 8}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 2, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 5, \"target\": 7}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"N\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"S\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"O\", \"id\": 7}, {\"label\": \"O\", \"id\": 8}], \"links\": [{\"label\": 3, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 12, \"source\": 2, \"target\": 3}, {\"label\": 12, \"source\": 2, \"target\": 6}, {\"label\": 12, \"source\": 3, \"target\": 4}, {\"label\": 12, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 4, \"target\": 8}, {\"label\": 12, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 6, \"target\": 7}]}]", "id": 9, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), C (atom 3), O (atom 4), C (atom 5), O (atom 6), O (atom 7), O (atom 8).\n- Bonds: 0-1, 1-2, 1-8, 2-3, 3-4, 4-5, 5-6, 5-7.\nMolecule B:\n- Atoms: N (atom 0), C (atom 1), C (atom 2), C (atom 3), C (atom 4), S (atom 5), C (atom 6), O (atom 7), O (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-6, 3-4, 4-5, 4-8, 5-6, 6-7.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: O (atom 0), C (atom 1), O (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 1-5, 2-3, 3-4, 3-8, 4-5, 4-6, 6-7, 7-8.\nMolecule B:\n- Atoms: N (atom 0), C (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-7, 3-4, 4-5, 5-6, 6-7, 6-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 5, "style": "rule" }	{ "exact_answer": 5, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"O\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"O\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 2, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 1, \"target\": 5}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 2, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 3, \"target\": 8}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 4, \"target\": 6}, {\"label\": 2, \"source\": 6, \"target\": 7}, {\"label\": 1, \"source\": 7, \"target\": 8}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"N\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 2, \"target\": 7}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 6, \"target\": 7}, {\"label\": 1, \"source\": 6, \"target\": 8}]}]", "id": 10, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: O (atom 0), C (atom 1), O (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 1-5, 2-3, 3-4, 3-8, 4-5, 4-6, 6-7, 7-8.\nMolecule B:\n- Atoms: N (atom 0), C (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-7, 3-4, 4-5, 5-6, 6-7, 6-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: O (atom 0), C (atom 1), C (atom 2), N (atom 3), N (atom 4), C (atom 5), S (atom 6), N (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 1-7, 2-3, 3-4, 4-5, 4-8, 5-6, 5-7.\nMolecule B:\n- Atoms: N (atom 0), C (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), O (atom 6), N (atom 7), O (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-8, 3-4, 4-5, 4-7, 5-6.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 5, "style": "rule" }	{ "exact_answer": 5, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"O\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"N\", \"id\": 3}, {\"label\": \"N\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"S\", \"id\": 6}, {\"label\": \"N\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 12, \"source\": 1, \"target\": 2}, {\"label\": 12, \"source\": 1, \"target\": 7}, {\"label\": 12, \"source\": 2, \"target\": 3}, {\"label\": 12, \"source\": 3, \"target\": 4}, {\"label\": 12, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 4, \"target\": 8}, {\"label\": 2, \"source\": 5, \"target\": 6}, {\"label\": 12, \"source\": 5, \"target\": 7}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"N\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"O\", \"id\": 6}, {\"label\": \"N\", \"id\": 7}, {\"label\": \"O\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 2, \"target\": 8}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 4, \"target\": 7}, {\"label\": 1, \"source\": 5, \"target\": 6}]}]", "id": 11, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: O (atom 0), C (atom 1), C (atom 2), N (atom 3), N (atom 4), C (atom 5), S (atom 6), N (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 1-7, 2-3, 3-4, 4-5, 4-8, 5-6, 5-7.\nMolecule B:\n- Atoms: N (atom 0), C (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), O (atom 6), N (atom 7), O (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-8, 3-4, 4-5, 4-7, 5-6.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), N (atom 3), N (atom 4), C (atom 5), C (atom 6), C (atom 7), O (atom 8).\n- Bonds: 0-1, 1-2, 1-5, 2-3, 3-4, 3-6, 4-5, 6-7, 7-8.\nMolecule B:\n- Atoms: O (atom 0), C (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), O (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-4, 3-4, 3-7, 4-5, 4-6, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 6, "style": "rule" }	{ "exact_answer": 6, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"N\", \"id\": 3}, {\"label\": \"N\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"O\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 2, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 1, \"target\": 5}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 3, \"target\": 6}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 6, \"target\": 7}, {\"label\": 1, \"source\": 7, \"target\": 8}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"O\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"O\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 2, \"target\": 4}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 3, \"target\": 7}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 4, \"target\": 6}, {\"label\": 1, \"source\": 7, \"target\": 8}]}]", "id": 12, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), N (atom 3), N (atom 4), C (atom 5), C (atom 6), C (atom 7), O (atom 8).\n- Bonds: 0-1, 1-2, 1-5, 2-3, 3-4, 3-6, 4-5, 6-7, 7-8.\nMolecule B:\n- Atoms: O (atom 0), C (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), O (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-4, 3-4, 3-7, 4-5, 4-6, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), N (atom 3), C (atom 4), P (atom 5), O (atom 6), O (atom 7), O (atom 8).\n- Bonds: 0-1, 1-2, 1-3, 3-4, 4-5, 5-6, 5-7, 5-8.\nMolecule B:\n- Atoms: C (atom 0), N (atom 1), C (atom 2), C (atom 3), C (atom 4), O (atom 5), O (atom 6), O (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-8, 3-4, 3-7, 4-5, 4-6.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 5, "style": "rule" }	{ "exact_answer": 5, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"N\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"P\", \"id\": 5}, {\"label\": \"O\", \"id\": 6}, {\"label\": \"O\", \"id\": 7}, {\"label\": \"O\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 2, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 1, \"target\": 3}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 2, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 5, \"target\": 7}, {\"label\": 1, \"source\": 5, \"target\": 8}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"N\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"O\", \"id\": 5}, {\"label\": \"O\", \"id\": 6}, {\"label\": \"O\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 2, \"target\": 8}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 3, \"target\": 7}, {\"label\": 2, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 4, \"target\": 6}]}]", "id": 13, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), N (atom 3), C (atom 4), P (atom 5), O (atom 6), O (atom 7), O (atom 8).\n- Bonds: 0-1, 1-2, 1-3, 3-4, 4-5, 5-6, 5-7, 5-8.\nMolecule B:\n- Atoms: C (atom 0), N (atom 1), C (atom 2), C (atom 3), C (atom 4), O (atom 5), O (atom 6), O (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-8, 3-4, 3-7, 4-5, 4-6.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), C (atom 1), O (atom 2), C (atom 3), C (atom 4), C (atom 5), O (atom 6), O (atom 7), N (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 3-4, 4-5, 4-8, 5-6, 5-7.\nMolecule B:\n- Atoms: Cl (atom 0), C (atom 1), C (atom 2), C (atom 3), P (atom 4), O (atom 5), O (atom 6), O (atom 7), Cl (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 3-4, 3-8, 4-5, 4-6, 4-7.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 7, "style": "rule" }	{ "exact_answer": 7, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"O\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"O\", \"id\": 6}, {\"label\": \"O\", \"id\": 7}, {\"label\": \"N\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 4, \"target\": 8}, {\"label\": 2, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 5, \"target\": 7}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"Cl\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"P\", \"id\": 4}, {\"label\": \"O\", \"id\": 5}, {\"label\": \"O\", \"id\": 6}, {\"label\": \"O\", \"id\": 7}, {\"label\": \"Cl\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 3, \"target\": 8}, {\"label\": 2, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 4, \"target\": 6}, {\"label\": 1, \"source\": 4, \"target\": 7}]}]", "id": 14, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), C (atom 1), O (atom 2), C (atom 3), C (atom 4), C (atom 5), O (atom 6), O (atom 7), N (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 3-4, 4-5, 4-8, 5-6, 5-7.\nMolecule B:\n- Atoms: Cl (atom 0), C (atom 1), C (atom 2), C (atom 3), P (atom 4), O (atom 5), O (atom 6), O (atom 7), Cl (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 3-4, 3-8, 4-5, 4-6, 4-7.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: O (atom 0), C (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 3-4, 4-5, 5-6, 6-7, 6-8.\nMolecule B:\n- Atoms: N (atom 0), N (atom 1), C (atom 2), C (atom 3), O (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 3-4, 3-5, 5-6, 6-7, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 4, "style": "rule" }	{ "exact_answer": 4, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"O\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 2, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 3, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 6, \"target\": 7}, {\"label\": 1, \"source\": 6, \"target\": 8}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"N\", \"id\": 0}, {\"label\": \"N\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"O\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 2, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 3, \"target\": 5}, {\"label\": 1, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 6, \"target\": 7}, {\"label\": 2, \"source\": 7, \"target\": 8}]}]", "id": 15, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: O (atom 0), C (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 3-4, 4-5, 5-6, 6-7, 6-8.\nMolecule B:\n- Atoms: N (atom 0), N (atom 1), C (atom 2), C (atom 3), O (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 3-4, 3-5, 5-6, 6-7, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: O (atom 0), C (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 1-7, 2-3, 3-4, 3-5, 5-6, 6-7, 6-8.\nMolecule B:\n- Atoms: C (atom 0), N (atom 1), C (atom 2), C (atom 3), Br (atom 4), C (atom 5), N (atom 6), C (atom 7), O (atom 8).\n- Bonds: 0-1, 1-2, 1-7, 2-3, 3-4, 3-5, 5-6, 6-7, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 5, "style": "rule" }	{ "exact_answer": 5, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"O\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 2, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 1, \"target\": 7}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 3, \"target\": 5}, {\"label\": 2, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 6, \"target\": 7}, {\"label\": 1, \"source\": 6, \"target\": 8}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"N\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"Br\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"N\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"O\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 12, \"source\": 1, \"target\": 2}, {\"label\": 12, \"source\": 1, \"target\": 7}, {\"label\": 12, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 12, \"source\": 3, \"target\": 5}, {\"label\": 12, \"source\": 5, \"target\": 6}, {\"label\": 12, \"source\": 6, \"target\": 7}, {\"label\": 2, \"source\": 7, \"target\": 8}]}]", "id": 16, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: O (atom 0), C (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 1-7, 2-3, 3-4, 3-5, 5-6, 6-7, 6-8.\nMolecule B:\n- Atoms: C (atom 0), N (atom 1), C (atom 2), C (atom 3), Br (atom 4), C (atom 5), N (atom 6), C (atom 7), O (atom 8).\n- Bonds: 0-1, 1-2, 1-7, 2-3, 3-4, 3-5, 5-6, 6-7, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), O (atom 1), C (atom 2), C (atom 3), N (atom 4), C (atom 5), N (atom 6), N (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 3-4, 3-7, 4-5, 5-6, 5-8, 6-7.\nMolecule B:\n- Atoms: C (atom 0), C (atom 1), O (atom 2), C (atom 3), O (atom 4), O (atom 5), C (atom 6), Cl (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 3-4, 3-5, 5-6, 6-7, 6-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 6, "style": "rule" }	{ "exact_answer": 6, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"O\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"N\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"N\", \"id\": 6}, {\"label\": \"N\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 2, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 3, \"target\": 7}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 5, \"target\": 8}, {\"label\": 1, \"source\": 6, \"target\": 7}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"O\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"O\", \"id\": 4}, {\"label\": \"O\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"Cl\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 2, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 3, \"target\": 5}, {\"label\": 1, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 6, \"target\": 7}, {\"label\": 1, \"source\": 6, \"target\": 8}]}]", "id": 17, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), O (atom 1), C (atom 2), C (atom 3), N (atom 4), C (atom 5), N (atom 6), N (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 3-4, 3-7, 4-5, 5-6, 5-8, 6-7.\nMolecule B:\n- Atoms: C (atom 0), C (atom 1), O (atom 2), C (atom 3), O (atom 4), O (atom 5), C (atom 6), Cl (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 3-4, 3-5, 5-6, 6-7, 6-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: O (atom 0), C (atom 1), N (atom 2), N (atom 3), C (atom 4), C (atom 5), N (atom 6), C (atom 7), O (atom 8).\n- Bonds: 0-1, 1-2, 1-3, 3-4, 4-5, 4-8, 5-6, 6-7, 7-8.\nMolecule B:\n- Atoms: C (atom 0), O (atom 1), C (atom 2), O (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-7, 3-4, 4-5, 5-6, 6-7, 6-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 6, "style": "rule" }	{ "exact_answer": 6, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"O\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"N\", \"id\": 2}, {\"label\": \"N\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"N\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"O\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 2, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 1, \"target\": 3}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 12, \"source\": 4, \"target\": 5}, {\"label\": 12, \"source\": 4, \"target\": 8}, {\"label\": 12, \"source\": 5, \"target\": 6}, {\"label\": 12, \"source\": 6, \"target\": 7}, {\"label\": 12, \"source\": 7, \"target\": 8}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"O\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"O\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 2, \"target\": 7}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 6, \"target\": 7}, {\"label\": 1, \"source\": 6, \"target\": 8}]}]", "id": 18, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: O (atom 0), C (atom 1), N (atom 2), N (atom 3), C (atom 4), C (atom 5), N (atom 6), C (atom 7), O (atom 8).\n- Bonds: 0-1, 1-2, 1-3, 3-4, 4-5, 4-8, 5-6, 6-7, 7-8.\nMolecule B:\n- Atoms: C (atom 0), O (atom 1), C (atom 2), O (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-7, 3-4, 4-5, 5-6, 6-7, 6-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), C (atom 3), C (atom 4), Cl (atom 5), O (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-8, 3-4, 3-6, 3-7, 4-5.\nMolecule B:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), N (atom 3), N (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 0-5, 1-2, 2-3, 3-4, 3-8, 4-5, 4-6, 6-7, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 8, "style": "rule" }	{ "exact_answer": 8, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"Cl\", \"id\": 5}, {\"label\": \"O\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 2, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 2, \"target\": 8}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 3, \"target\": 6}, {\"label\": 1, \"source\": 3, \"target\": 7}, {\"label\": 1, \"source\": 4, \"target\": 5}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"N\", \"id\": 3}, {\"label\": \"N\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 0, \"target\": 5}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 3, \"target\": 8}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 4, \"target\": 6}, {\"label\": 1, \"source\": 6, \"target\": 7}, {\"label\": 1, \"source\": 7, \"target\": 8}]}]", "id": 19, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), C (atom 3), C (atom 4), Cl (atom 5), O (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-8, 3-4, 3-6, 3-7, 4-5.\nMolecule B:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), N (atom 3), N (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 0-5, 1-2, 2-3, 3-4, 3-8, 4-5, 4-6, 6-7, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: Cl (atom 0), P (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-7, 3-4, 4-5, 5-6, 5-8, 6-7.\nMolecule B:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), O (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 1-5, 2-3, 3-4, 4-5, 4-8, 5-6, 6-7, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 6, "style": "rule" }	{ "exact_answer": 6, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"Cl\", \"id\": 0}, {\"label\": \"P\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 12, \"source\": 2, \"target\": 3}, {\"label\": 12, \"source\": 2, \"target\": 7}, {\"label\": 12, \"source\": 3, \"target\": 4}, {\"label\": 12, \"source\": 4, \"target\": 5}, {\"label\": 12, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 5, \"target\": 8}, {\"label\": 12, \"source\": 6, \"target\": 7}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"O\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 12, \"source\": 1, \"target\": 2}, {\"label\": 12, \"source\": 1, \"target\": 5}, {\"label\": 12, \"source\": 2, \"target\": 3}, {\"label\": 12, \"source\": 3, \"target\": 4}, {\"label\": 12, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 4, \"target\": 8}, {\"label\": 1, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 6, \"target\": 7}, {\"label\": 1, \"source\": 7, \"target\": 8}]}]", "id": 20, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: Cl (atom 0), P (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-7, 3-4, 4-5, 5-6, 5-8, 6-7.\nMolecule B:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), O (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 1-5, 2-3, 3-4, 4-5, 4-8, 5-6, 6-7, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), C (atom 3), C (atom 4), Cl (atom 5), N (atom 6), C (atom 7), N (atom 8).\n- Bonds: 0-1, 1-2, 1-8, 2-3, 3-4, 3-6, 4-5, 6-7, 7-8.\nMolecule B:\n- Atoms: N (atom 0), C (atom 1), C (atom 2), N (atom 3), N (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-4, 2-8, 4-5, 5-6, 6-7, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 5, "style": "rule" }	{ "exact_answer": 5, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"Cl\", \"id\": 5}, {\"label\": \"N\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"N\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 12, \"source\": 1, \"target\": 2}, {\"label\": 12, \"source\": 1, \"target\": 8}, {\"label\": 12, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 12, \"source\": 3, \"target\": 6}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 12, \"source\": 6, \"target\": 7}, {\"label\": 12, \"source\": 7, \"target\": 8}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"N\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"N\", \"id\": 3}, {\"label\": \"N\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 3, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 2, \"target\": 4}, {\"label\": 1, \"source\": 2, \"target\": 8}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 2, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 6, \"target\": 7}, {\"label\": 2, \"source\": 7, \"target\": 8}]}]", "id": 21, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), C (atom 3), C (atom 4), Cl (atom 5), N (atom 6), C (atom 7), N (atom 8).\n- Bonds: 0-1, 1-2, 1-8, 2-3, 3-4, 3-6, 4-5, 6-7, 7-8.\nMolecule B:\n- Atoms: N (atom 0), C (atom 1), C (atom 2), N (atom 3), N (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-4, 2-8, 4-5, 5-6, 6-7, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: N (atom 0), C (atom 1), C (atom 2), O (atom 3), C (atom 4), O (atom 5), C (atom 6), C (atom 7), N (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-6, 3-4, 4-5, 5-6, 6-7, 7-8.\nMolecule B:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), N (atom 3), N (atom 4), C (atom 5), N (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-6, 3-4, 4-5, 5-6, 5-7, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 7, "style": "rule" }	{ "exact_answer": 7, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"N\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"O\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"O\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"N\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 2, \"target\": 6}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 6, \"target\": 7}, {\"label\": 1, \"source\": 7, \"target\": 8}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"N\", \"id\": 3}, {\"label\": \"N\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"N\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 2, \"target\": 6}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 2, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 5, \"target\": 7}, {\"label\": 1, \"source\": 7, \"target\": 8}]}]", "id": 22, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: N (atom 0), C (atom 1), C (atom 2), O (atom 3), C (atom 4), O (atom 5), C (atom 6), C (atom 7), N (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-6, 3-4, 4-5, 5-6, 6-7, 7-8.\nMolecule B:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), N (atom 3), N (atom 4), C (atom 5), N (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-6, 3-4, 4-5, 5-6, 5-7, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), O (atom 3), C (atom 4), O (atom 5), C (atom 6), C (atom 7), Br (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-7, 3-4, 4-5, 4-6, 6-7, 6-8.\nMolecule B:\n- Atoms: C (atom 0), N (atom 1), C (atom 2), C (atom 3), S (atom 4), C (atom 5), C (atom 6), N (atom 7), O (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-8, 3-4, 4-5, 5-6, 6-7.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 6, "style": "rule" }	{ "exact_answer": 6, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"O\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"O\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"Br\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 2, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 2, \"target\": 7}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 2, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 4, \"target\": 6}, {\"label\": 2, \"source\": 6, \"target\": 7}, {\"label\": 1, \"source\": 6, \"target\": 8}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"N\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"S\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"N\", \"id\": 7}, {\"label\": \"O\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 2, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 2, \"target\": 8}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 5, \"target\": 6}, {\"label\": 3, \"source\": 6, \"target\": 7}]}]", "id": 23, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), O (atom 3), C (atom 4), O (atom 5), C (atom 6), C (atom 7), Br (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-7, 3-4, 4-5, 4-6, 6-7, 6-8.\nMolecule B:\n- Atoms: C (atom 0), N (atom 1), C (atom 2), C (atom 3), S (atom 4), C (atom 5), C (atom 6), N (atom 7), O (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-8, 3-4, 4-5, 5-6, 6-7.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: Cl (atom 0), C (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 1-4, 2-3, 3-4, 3-8, 4-5, 5-6, 6-7, 7-8.\nMolecule B:\n- Atoms: C (atom 0), C (atom 1), O (atom 2), C (atom 3), S (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 1-3, 3-4, 3-7, 4-5, 5-6, 6-7, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 5, "style": "rule" }	{ "exact_answer": 5, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"Cl\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 2, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 1, \"target\": 4}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 12, \"source\": 3, \"target\": 4}, {\"label\": 12, \"source\": 3, \"target\": 8}, {\"label\": 12, \"source\": 4, \"target\": 5}, {\"label\": 12, \"source\": 5, \"target\": 6}, {\"label\": 12, \"source\": 6, \"target\": 7}, {\"label\": 12, \"source\": 7, \"target\": 8}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"O\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"S\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 2, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 1, \"target\": 3}, {\"label\": 12, \"source\": 3, \"target\": 4}, {\"label\": 12, \"source\": 3, \"target\": 7}, {\"label\": 12, \"source\": 4, \"target\": 5}, {\"label\": 12, \"source\": 5, \"target\": 6}, {\"label\": 12, \"source\": 6, \"target\": 7}, {\"label\": 1, \"source\": 7, \"target\": 8}]}]", "id": 24, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: Cl (atom 0), C (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 1-4, 2-3, 3-4, 3-8, 4-5, 5-6, 6-7, 7-8.\nMolecule B:\n- Atoms: C (atom 0), C (atom 1), O (atom 2), C (atom 3), S (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 1-3, 3-4, 3-7, 4-5, 5-6, 6-7, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), N (atom 3), C (atom 4), C (atom 5), Cl (atom 6), O (atom 7), N (atom 8).\n- Bonds: 0-1, 1-2, 1-8, 2-3, 2-7, 3-4, 4-5, 5-6.\nMolecule B:\n- Atoms: Cl (atom 0), C (atom 1), C (atom 2), N (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 1-5, 2-3, 3-4, 3-8, 4-5, 4-7, 5-6.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 5, "style": "rule" }	{ "exact_answer": 5, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"N\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"Cl\", \"id\": 6}, {\"label\": \"O\", \"id\": 7}, {\"label\": \"N\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 1, \"target\": 8}, {\"label\": 2, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 2, \"target\": 7}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 5, \"target\": 6}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"Cl\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"N\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 1, \"target\": 5}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 3, \"target\": 8}, {\"label\": 2, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 4, \"target\": 7}, {\"label\": 1, \"source\": 5, \"target\": 6}]}]", "id": 25, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), N (atom 3), C (atom 4), C (atom 5), Cl (atom 6), O (atom 7), N (atom 8).\n- Bonds: 0-1, 1-2, 1-8, 2-3, 2-7, 3-4, 4-5, 5-6.\nMolecule B:\n- Atoms: Cl (atom 0), C (atom 1), C (atom 2), N (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 1-5, 2-3, 3-4, 3-8, 4-5, 4-7, 5-6.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: O (atom 0), C (atom 1), O (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), O (atom 7), O (atom 8).\n- Bonds: 0-1, 1-2, 1-6, 2-3, 3-4, 4-5, 4-8, 5-6, 5-7.\nMolecule B:\n- Atoms: O (atom 0), N (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), N (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 3-4, 3-8, 4-5, 5-6, 6-7, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 7, "style": "rule" }	{ "exact_answer": 7, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"O\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"O\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"O\", \"id\": 7}, {\"label\": \"O\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 1, \"target\": 6}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 4, \"target\": 8}, {\"label\": 1, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 5, \"target\": 7}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"O\", \"id\": 0}, {\"label\": \"N\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"N\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 2, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 3, \"target\": 8}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 6, \"target\": 7}, {\"label\": 1, \"source\": 7, \"target\": 8}]}]", "id": 26, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: O (atom 0), C (atom 1), O (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), O (atom 7), O (atom 8).\n- Bonds: 0-1, 1-2, 1-6, 2-3, 3-4, 4-5, 4-8, 5-6, 5-7.\nMolecule B:\n- Atoms: O (atom 0), N (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), N (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 3-4, 3-8, 4-5, 5-6, 6-7, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: N (atom 0), C (atom 1), C (atom 2), N (atom 3), C (atom 4), N (atom 5), O (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-8, 3-4, 3-7, 4-5, 4-6.\nMolecule B:\n- Atoms: O (atom 0), C (atom 1), C (atom 2), O (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), O (atom 8).\n- Bonds: 0-1, 0-4, 1-2, 2-3, 2-7, 3-4, 4-5, 5-6, 6-7, 6-8, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 8, "style": "rule" }	{ "exact_answer": 8, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"N\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"N\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"N\", \"id\": 5}, {\"label\": \"O\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 3, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 2, \"target\": 8}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 3, \"target\": 7}, {\"label\": 2, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 4, \"target\": 6}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"O\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"O\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"O\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 0, \"target\": 4}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 2, \"target\": 7}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 6, \"target\": 7}, {\"label\": 1, \"source\": 6, \"target\": 8}, {\"label\": 1, \"source\": 7, \"target\": 8}]}]", "id": 27, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: N (atom 0), C (atom 1), C (atom 2), N (atom 3), C (atom 4), N (atom 5), O (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-8, 3-4, 3-7, 4-5, 4-6.\nMolecule B:\n- Atoms: O (atom 0), C (atom 1), C (atom 2), O (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), O (atom 8).\n- Bonds: 0-1, 0-4, 1-2, 2-3, 2-7, 3-4, 4-5, 5-6, 6-7, 6-8, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), S (atom 1), N (atom 2), C (atom 3), N (atom 4), N (atom 5), C (atom 6), N (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-8, 3-4, 4-5, 4-6, 6-7, 7-8.\nMolecule B:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), O (atom 3), O (atom 4), C (atom 5), C (atom 6), C (atom 7), N (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-4, 4-5, 5-6, 5-8, 6-7.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 7, "style": "rule" }	{ "exact_answer": 7, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"S\", \"id\": 1}, {\"label\": \"N\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"N\", \"id\": 4}, {\"label\": \"N\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"N\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 2, \"target\": 8}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 4, \"target\": 6}, {\"label\": 1, \"source\": 6, \"target\": 7}, {\"label\": 2, \"source\": 7, \"target\": 8}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"O\", \"id\": 3}, {\"label\": \"O\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"N\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 2, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 2, \"target\": 4}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 5, \"target\": 8}, {\"label\": 2, \"source\": 6, \"target\": 7}]}]", "id": 28, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), S (atom 1), N (atom 2), C (atom 3), N (atom 4), N (atom 5), C (atom 6), N (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-8, 3-4, 4-5, 4-6, 6-7, 7-8.\nMolecule B:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), O (atom 3), O (atom 4), C (atom 5), C (atom 6), C (atom 7), N (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-4, 4-5, 5-6, 5-8, 6-7.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), O (atom 1), C (atom 2), C (atom 3), C (atom 4), O (atom 5), O (atom 6), C (atom 7), F (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 3-4, 3-8, 4-5, 4-6, 6-7.\nMolecule B:\n- Atoms: O (atom 0), N (atom 1), C (atom 2), C (atom 3), O (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-6, 3-4, 3-5, 6-7, 6-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 7, "style": "rule" }	{ "exact_answer": 7, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"O\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"O\", \"id\": 5}, {\"label\": \"O\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"F\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 2, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 3, \"target\": 8}, {\"label\": 2, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 4, \"target\": 6}, {\"label\": 1, \"source\": 6, \"target\": 7}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"O\", \"id\": 0}, {\"label\": \"N\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"O\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 2, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 2, \"target\": 6}, {\"label\": 2, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 3, \"target\": 5}, {\"label\": 1, \"source\": 6, \"target\": 7}, {\"label\": 1, \"source\": 6, \"target\": 8}]}]", "id": 29, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), O (atom 1), C (atom 2), C (atom 3), C (atom 4), O (atom 5), O (atom 6), C (atom 7), F (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 3-4, 3-8, 4-5, 4-6, 6-7.\nMolecule B:\n- Atoms: O (atom 0), N (atom 1), C (atom 2), C (atom 3), O (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-6, 3-4, 3-5, 6-7, 6-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), O (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-7, 3-4, 4-5, 5-6, 7-8.\nMolecule B:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), N (atom 3), C (atom 4), C (atom 5), O (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 1-8, 2-3, 2-7, 3-4, 4-5, 5-6, 5-7.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 4, "style": "rule" }	{ "exact_answer": 4, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"O\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 2, \"target\": 7}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 2, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 7, \"target\": 8}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"N\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"O\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 1, \"target\": 8}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 2, \"target\": 7}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 2, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 5, \"target\": 7}]}]", "id": 30, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), O (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-7, 3-4, 4-5, 5-6, 7-8.\nMolecule B:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), N (atom 3), C (atom 4), C (atom 5), O (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 1-8, 2-3, 2-7, 3-4, 4-5, 5-6, 5-7.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 3-4, 4-5, 5-6, 5-7, 6-7, 7-8.\nMolecule B:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), O (atom 8).\n- Bonds: 0-1, 1-2, 1-6, 2-3, 3-4, 4-5, 5-6, 6-7, 6-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 3, "style": "rule" }	{ "exact_answer": 3, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 5, \"target\": 7}, {\"label\": 1, \"source\": 6, \"target\": 7}, {\"label\": 1, \"source\": 7, \"target\": 8}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"O\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 1, \"target\": 6}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 6, \"target\": 7}, {\"label\": 1, \"source\": 6, \"target\": 8}]}]", "id": 31, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 3-4, 4-5, 5-6, 5-7, 6-7, 7-8.\nMolecule B:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), O (atom 8).\n- Bonds: 0-1, 1-2, 1-6, 2-3, 3-4, 4-5, 5-6, 6-7, 6-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: Br (atom 0), C (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 1-7, 2-3, 3-4, 4-5, 4-8, 5-6, 5-8, 6-7, 6-8.\nMolecule B:\n- Atoms: C (atom 0), O (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), O (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-6, 2-8, 3-4, 3-5, 6-7.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 8, "style": "rule" }	{ "exact_answer": 8, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"Br\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 2, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 1, \"target\": 7}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 4, \"target\": 8}, {\"label\": 1, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 5, \"target\": 8}, {\"label\": 1, \"source\": 6, \"target\": 7}, {\"label\": 1, \"source\": 6, \"target\": 8}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"O\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"O\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 2, \"target\": 6}, {\"label\": 1, \"source\": 2, \"target\": 8}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 3, \"target\": 5}, {\"label\": 1, \"source\": 6, \"target\": 7}]}]", "id": 32, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: Br (atom 0), C (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 1-7, 2-3, 3-4, 4-5, 4-8, 5-6, 5-8, 6-7, 6-8.\nMolecule B:\n- Atoms: C (atom 0), O (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), O (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-6, 2-8, 3-4, 3-5, 6-7.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: N (atom 0), C (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), O (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 3-4, 3-8, 4-5, 5-6, 6-7, 6-8.\nMolecule B:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 3-4, 4-5, 4-8, 5-6, 5-7.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 5, "style": "rule" }	{ "exact_answer": 5, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"N\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"O\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 3, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 3, \"target\": 8}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 5, \"target\": 6}, {\"label\": 2, \"source\": 6, \"target\": 7}, {\"label\": 1, \"source\": 6, \"target\": 8}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 3, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 4, \"target\": 8}, {\"label\": 1, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 5, \"target\": 7}]}]", "id": 33, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: N (atom 0), C (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), O (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 3-4, 3-8, 4-5, 5-6, 6-7, 6-8.\nMolecule B:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 3-4, 4-5, 4-8, 5-6, 5-7.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: N (atom 0), C (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 1-6, 2-3, 3-4, 4-5, 4-8, 5-6, 6-7, 7-8.\nMolecule B:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), N (atom 3), C (atom 4), N (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 3-4, 4-5, 4-7, 5-6, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 5, "style": "rule" }	{ "exact_answer": 5, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"N\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 1, \"target\": 6}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 4, \"target\": 8}, {\"label\": 1, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 6, \"target\": 7}, {\"label\": 1, \"source\": 7, \"target\": 8}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"N\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"N\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 2, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 4, \"target\": 7}, {\"label\": 1, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 7, \"target\": 8}]}]", "id": 34, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: N (atom 0), C (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 1-6, 2-3, 3-4, 4-5, 4-8, 5-6, 6-7, 7-8.\nMolecule B:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), N (atom 3), C (atom 4), N (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 3-4, 4-5, 4-7, 5-6, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), F (atom 3), F (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 1-5, 2-3, 2-4, 5-6, 5-7, 5-8.\nMolecule B:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), C (atom 3), C (atom 4), O (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 3-4, 3-7, 3-8, 4-5, 5-6.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 6, "style": "rule" }	{ "exact_answer": 6, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"F\", \"id\": 3}, {\"label\": \"F\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 2, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 1, \"target\": 5}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 2, \"target\": 4}, {\"label\": 1, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 5, \"target\": 7}, {\"label\": 1, \"source\": 5, \"target\": 8}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"O\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 3, \"target\": 7}, {\"label\": 1, \"source\": 3, \"target\": 8}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 5, \"target\": 6}]}]", "id": 35, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), F (atom 3), F (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 1-5, 2-3, 2-4, 5-6, 5-7, 5-8.\nMolecule B:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), C (atom 3), C (atom 4), O (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 3-4, 3-7, 3-8, 4-5, 5-6.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), O (atom 7), F (atom 8).\n- Bonds: 0-1, 1-2, 1-8, 2-3, 2-6, 3-4, 4-5, 5-6, 6-7.\nMolecule B:\n- Atoms: C (atom 0), N (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), O (atom 7), O (atom 8).\n- Bonds: 0-1, 1-2, 1-6, 2-3, 2-4, 2-5, 4-5, 6-7, 6-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 6, "style": "rule" }	{ "exact_answer": 6, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"O\", \"id\": 7}, {\"label\": \"F\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 1, \"target\": 8}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 2, \"target\": 6}, {\"label\": 2, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 6, \"target\": 7}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"N\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"O\", \"id\": 7}, {\"label\": \"O\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 1, \"target\": 6}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 2, \"target\": 4}, {\"label\": 1, \"source\": 2, \"target\": 5}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 2, \"source\": 6, \"target\": 7}, {\"label\": 1, \"source\": 6, \"target\": 8}]}]", "id": 36, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), O (atom 7), F (atom 8).\n- Bonds: 0-1, 1-2, 1-8, 2-3, 2-6, 3-4, 4-5, 5-6, 6-7.\nMolecule B:\n- Atoms: C (atom 0), N (atom 1), C (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), O (atom 7), O (atom 8).\n- Bonds: 0-1, 1-2, 1-6, 2-3, 2-4, 2-5, 4-5, 6-7, 6-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), N (atom 3), C (atom 4), C (atom 5), S (atom 6), C (atom 7), O (atom 8).\n- Bonds: 0-1, 1-2, 1-4, 1-8, 2-3, 4-5, 5-6, 6-7.\nMolecule B:\n- Atoms: N (atom 0), N (atom 1), S (atom 2), C (atom 3), C (atom 4), C (atom 5), N (atom 6), C (atom 7), N (atom 8).\n- Bonds: 0-1, 0-5, 1-2, 2-3, 3-4, 3-8, 4-5, 4-6, 6-7, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 8, "style": "rule" }	{ "exact_answer": 8, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"N\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"S\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"O\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 1, \"target\": 4}, {\"label\": 1, \"source\": 1, \"target\": 8}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 6, \"target\": 7}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"N\", \"id\": 0}, {\"label\": \"N\", \"id\": 1}, {\"label\": \"S\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"N\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"N\", \"id\": 8}], \"links\": [{\"label\": 12, \"source\": 0, \"target\": 1}, {\"label\": 12, \"source\": 0, \"target\": 5}, {\"label\": 12, \"source\": 1, \"target\": 2}, {\"label\": 12, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 12, \"source\": 3, \"target\": 8}, {\"label\": 12, \"source\": 4, \"target\": 5}, {\"label\": 12, \"source\": 4, \"target\": 6}, {\"label\": 12, \"source\": 6, \"target\": 7}, {\"label\": 12, \"source\": 7, \"target\": 8}]}]", "id": 37, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), C (atom 1), C (atom 2), N (atom 3), C (atom 4), C (atom 5), S (atom 6), C (atom 7), O (atom 8).\n- Bonds: 0-1, 1-2, 1-4, 1-8, 2-3, 4-5, 5-6, 6-7.\nMolecule B:\n- Atoms: N (atom 0), N (atom 1), S (atom 2), C (atom 3), C (atom 4), C (atom 5), N (atom 6), C (atom 7), N (atom 8).\n- Bonds: 0-1, 0-5, 1-2, 2-3, 3-4, 3-8, 4-5, 4-6, 6-7, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: Br (atom 0), C (atom 1), C (atom 2), C (atom 3), N (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 1-4, 2-3, 3-4, 3-8, 3-7, 4-5, 5-6, 6-7, 7-8.\nMolecule B:\n- Atoms: C (atom 0), C (atom 1), S (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), S (atom 8).\n- Bonds: 0-1, 0-5, 1-2, 2-3, 3-4, 3-8, 4-5, 4-6, 6-7, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 6, "style": "rule" }	{ "exact_answer": 6, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"Br\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"N\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 1, \"target\": 4}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 3, \"target\": 8}, {\"label\": 1, \"source\": 3, \"target\": 7}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 2, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 6, \"target\": 7}, {\"label\": 1, \"source\": 7, \"target\": 8}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"S\", \"id\": 2}, {\"label\": \"C\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"S\", \"id\": 8}], \"links\": [{\"label\": 2, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 0, \"target\": 5}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 12, \"source\": 3, \"target\": 4}, {\"label\": 12, \"source\": 3, \"target\": 8}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 12, \"source\": 4, \"target\": 6}, {\"label\": 12, \"source\": 6, \"target\": 7}, {\"label\": 12, \"source\": 7, \"target\": 8}]}]", "id": 38, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: Br (atom 0), C (atom 1), C (atom 2), C (atom 3), N (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 1-4, 2-3, 3-4, 3-8, 3-7, 4-5, 5-6, 6-7, 7-8.\nMolecule B:\n- Atoms: C (atom 0), C (atom 1), S (atom 2), C (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), S (atom 8).\n- Bonds: 0-1, 0-5, 1-2, 2-3, 3-4, 3-8, 4-5, 4-6, 6-7, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }
GED	[ { "content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.", "role": "system" }, { "content": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), N (atom 1), C (atom 2), O (atom 3), O (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 1-7, 2-3, 2-4, 4-5, 5-6, 7-8.\nMolecule B:\n- Atoms: O (atom 0), C (atom 1), N (atom 2), N (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), O (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-7, 3-4, 3-5, 5-6, 6-7, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "role": "user" } ]	{ "ground_truth": 5, "style": "rule" }	{ "exact_answer": 5, "graph": "[{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"C\", \"id\": 0}, {\"label\": \"N\", \"id\": 1}, {\"label\": \"C\", \"id\": 2}, {\"label\": \"O\", \"id\": 3}, {\"label\": \"O\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"C\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 1, \"target\": 7}, {\"label\": 2, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 2, \"target\": 4}, {\"label\": 1, \"source\": 4, \"target\": 5}, {\"label\": 1, \"source\": 5, \"target\": 6}, {\"label\": 2, \"source\": 7, \"target\": 8}]}, {\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"label\": \"O\", \"id\": 0}, {\"label\": \"C\", \"id\": 1}, {\"label\": \"N\", \"id\": 2}, {\"label\": \"N\", \"id\": 3}, {\"label\": \"C\", \"id\": 4}, {\"label\": \"C\", \"id\": 5}, {\"label\": \"C\", \"id\": 6}, {\"label\": \"C\", \"id\": 7}, {\"label\": \"O\", \"id\": 8}], \"links\": [{\"label\": 1, \"source\": 0, \"target\": 1}, {\"label\": 1, \"source\": 1, \"target\": 2}, {\"label\": 1, \"source\": 2, \"target\": 3}, {\"label\": 1, \"source\": 2, \"target\": 7}, {\"label\": 1, \"source\": 3, \"target\": 4}, {\"label\": 1, \"source\": 3, \"target\": 5}, {\"label\": 1, \"source\": 5, \"target\": 6}, {\"label\": 1, \"source\": 6, \"target\": 7}, {\"label\": 2, \"source\": 7, \"target\": 8}]}]", "id": 39, "problem_text": "You are required to solve the Graph Edit Distance problem between two molecules. Each edit operation (adding or deleting an edge, adding or deleting an isolated node, or relabeling a node) has the identity cost. Your objective is to establish a mapping between the atom IDs from Molecule A to Molecule B, ensuring that each atom ID in Molecule A corresponds to exactly one atom ID in Molecule B. The mapping corresponds to the minimum edit cost between the two graphs.\n\nProblem to Solve\n\nYou are given the following two molecules:\nMolecule A:\n- Atoms: C (atom 0), N (atom 1), C (atom 2), O (atom 3), O (atom 4), C (atom 5), C (atom 6), C (atom 7), C (atom 8).\n- Bonds: 0-1, 1-2, 1-7, 2-3, 2-4, 4-5, 5-6, 7-8.\nMolecule B:\n- Atoms: O (atom 0), C (atom 1), N (atom 2), N (atom 3), C (atom 4), C (atom 5), C (atom 6), C (atom 7), O (atom 8).\n- Bonds: 0-1, 1-2, 2-3, 2-7, 3-4, 3-5, 5-6, 6-7, 7-8.\nRepresent the node mapping as a list of integers, where the position in the list corresponds to the atom ID in Molecule A and the value at that position indicates the corresponding atom ID in Molecule B.\nFor instance, if atom 0 in Molecule A corresponds to atom 1 in Molecule B, atom 1 in Molecule A corresponds to atom 0 in Molecule B, and atom 2 remains unchanged, the mapping would be represented as [1, 0, 2, ...].", "split": "train" }