| { |
| "dataset_name": "CoTEgo-OptimalApproach", |
| "version": "v1", |
| "question_header": { |
| "setup_image": "./frames/setup.jpg", |
| "problem_setup": "The scene shows a tabletop Tower-of-Hanoi style setup recorded from an egocentric viewpoint. Three poles are placed left-to-right and remain fixed across the dataset. The poles are denoted as L, C, and R for left, center, and right from the viewer’s perspective. Up to six rings are used. Each ring has a unique color identifier and a unique size rank. The environment is controlled. The background is covered by a gray enclosure and hands wear sky-blue gloves to reduce appearance variation. The camera viewpoint is not mirrored or flipped. The pole order will not change. Each move relocates exactly one ring. Moving two or more rings at once is not allowed.", |
| "state_notation": "We represent a configuration as L=..._C=..._R=.... For each pole, ring identifiers appear in bottom-to-top order. E denotes an empty pole.", |
| "ring_identifiers_and_size_order": "G, L, S, R, O, Y correspond to Green, Lime, Sky, Red, Orange, and Yellow. The size order is G > L > S > R > O > Y where G is the largest ring and Y is the smallest ring.", |
| "example_6_rings": { |
| "state": "L=GLSROY_C=E_R=E", |
| "explanation": "This means all six rings are stacked on the left pole. G is at the bottom and Y is at the top. The center and right poles are empty." |
| }, |
| "pq_options": [ |
| { |
| "id": 1, |
| "text": "G" |
| }, |
| { |
| "id": 2, |
| "text": "L" |
| }, |
| { |
| "id": 3, |
| "text": "S" |
| }, |
| { |
| "id": 4, |
| "text": "R" |
| }, |
| { |
| "id": 5, |
| "text": "O" |
| }, |
| { |
| "id": 6, |
| "text": "Y" |
| }, |
| { |
| "id": 7, |
| "text": "Empty" |
| } |
| ] |
| }, |
| "instructions": { |
| "rule_setting": "Rule-based setting: A larger ring cannot be placed on a smaller ring.", |
| "free_setting": "Free-rule setting: A larger ring may be placed on a smaller ring.", |
| "pq_output_format": "Return PQ answers as JSON: {\"pq\": [[...],[...],[...],[...],[...],[...]]}. Each PQ is a sorted list of option numbers. Use [7] only if the pole is empty.", |
| "oq_output_format": "Return next state only in the form L=<...>_C=<...>_R=<...> with no extra text." |
| }, |
| "paths": { |
| "states_dir": "./frames/states" |
| }, |
| "problems": [ |
| { |
| "problem_id": "opt_rule_img__n1_CtoL__L=E_C=Y_R=E__TO__L=Y_C=E_R=E", |
| "pair_id": "n1_CtoL", |
| "n_rings": 1, |
| "src": "C", |
| "tgt": "L", |
| "setting": "rule", |
| "symbolic": false, |
| "initial_state": "L=E_C=Y_R=E", |
| "goal_state": "L=Y_C=E_R=E", |
| "optimal_steps": 1, |
| "max_steps": 100, |
| "initial_image": "L=E_C=Y_R=E.jpg", |
| "goal_image": "L=Y_C=E_R=E.jpg", |
| "pq_gt": [ |
| [ |
| 7 |
| ], |
| [ |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ] |
| ] |
| }, |
| { |
| "problem_id": "opt_rule_img__n1_CtoR__L=E_C=Y_R=E__TO__L=E_C=E_R=Y", |
| "pair_id": "n1_CtoR", |
| "n_rings": 1, |
| "src": "C", |
| "tgt": "R", |
| "setting": "rule", |
| "symbolic": false, |
| "initial_state": "L=E_C=Y_R=E", |
| "goal_state": "L=E_C=E_R=Y", |
| "optimal_steps": 1, |
| "max_steps": 100, |
| "initial_image": "L=E_C=Y_R=E.jpg", |
| "goal_image": "L=E_C=E_R=Y.jpg", |
| "pq_gt": [ |
| [ |
| 7 |
| ], |
| [ |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 6 |
| ] |
| ] |
| }, |
| { |
| "problem_id": "opt_rule_img__n1_LtoC__L=Y_C=E_R=E__TO__L=E_C=Y_R=E", |
| "pair_id": "n1_LtoC", |
| "n_rings": 1, |
| "src": "L", |
| "tgt": "C", |
| "setting": "rule", |
| "symbolic": false, |
| "initial_state": "L=Y_C=E_R=E", |
| "goal_state": "L=E_C=Y_R=E", |
| "optimal_steps": 1, |
| "max_steps": 100, |
| "initial_image": "L=Y_C=E_R=E.jpg", |
| "goal_image": "L=E_C=Y_R=E.jpg", |
| "pq_gt": [ |
| [ |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 6 |
| ], |
| [ |
| 7 |
| ] |
| ] |
| }, |
| { |
| "problem_id": "opt_rule_img__n1_LtoR__L=Y_C=E_R=E__TO__L=E_C=E_R=Y", |
| "pair_id": "n1_LtoR", |
| "n_rings": 1, |
| "src": "L", |
| "tgt": "R", |
| "setting": "rule", |
| "symbolic": false, |
| "initial_state": "L=Y_C=E_R=E", |
| "goal_state": "L=E_C=E_R=Y", |
| "optimal_steps": 1, |
| "max_steps": 100, |
| "initial_image": "L=Y_C=E_R=E.jpg", |
| "goal_image": "L=E_C=E_R=Y.jpg", |
| "pq_gt": [ |
| [ |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 6 |
| ] |
| ] |
| }, |
| { |
| "problem_id": "opt_rule_img__n1_RtoC__L=E_C=E_R=Y__TO__L=E_C=Y_R=E", |
| "pair_id": "n1_RtoC", |
| "n_rings": 1, |
| "src": "R", |
| "tgt": "C", |
| "setting": "rule", |
| "symbolic": false, |
| "initial_state": "L=E_C=E_R=Y", |
| "goal_state": "L=E_C=Y_R=E", |
| "optimal_steps": 1, |
| "max_steps": 100, |
| "initial_image": "L=E_C=E_R=Y.jpg", |
| "goal_image": "L=E_C=Y_R=E.jpg", |
| "pq_gt": [ |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 6 |
| ], |
| [ |
| 7 |
| ] |
| ] |
| }, |
| { |
| "problem_id": "opt_rule_img__n1_RtoL__L=E_C=E_R=Y__TO__L=Y_C=E_R=E", |
| "pair_id": "n1_RtoL", |
| "n_rings": 1, |
| "src": "R", |
| "tgt": "L", |
| "setting": "rule", |
| "symbolic": false, |
| "initial_state": "L=E_C=E_R=Y", |
| "goal_state": "L=Y_C=E_R=E", |
| "optimal_steps": 1, |
| "max_steps": 100, |
| "initial_image": "L=E_C=E_R=Y.jpg", |
| "goal_image": "L=Y_C=E_R=E.jpg", |
| "pq_gt": [ |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 6 |
| ], |
| [ |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ] |
| ] |
| }, |
| { |
| "problem_id": "opt_rule_img__n2_CtoL__L=E_C=OY_R=E__TO__L=OY_C=E_R=E", |
| "pair_id": "n2_CtoL", |
| "n_rings": 2, |
| "src": "C", |
| "tgt": "L", |
| "setting": "rule", |
| "symbolic": false, |
| "initial_state": "L=E_C=OY_R=E", |
| "goal_state": "L=OY_C=E_R=E", |
| "optimal_steps": 3, |
| "max_steps": 100, |
| "initial_image": "L=E_C=OY_R=E.jpg", |
| "goal_image": "L=OY_C=E_R=E.jpg", |
| "pq_gt": [ |
| [ |
| 7 |
| ], |
| [ |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ] |
| ] |
| }, |
| { |
| "problem_id": "opt_rule_img__n2_CtoR__L=E_C=OY_R=E__TO__L=E_C=E_R=OY", |
| "pair_id": "n2_CtoR", |
| "n_rings": 2, |
| "src": "C", |
| "tgt": "R", |
| "setting": "rule", |
| "symbolic": false, |
| "initial_state": "L=E_C=OY_R=E", |
| "goal_state": "L=E_C=E_R=OY", |
| "optimal_steps": 3, |
| "max_steps": 100, |
| "initial_image": "L=E_C=OY_R=E.jpg", |
| "goal_image": "L=E_C=E_R=OY.jpg", |
| "pq_gt": [ |
| [ |
| 7 |
| ], |
| [ |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 5, |
| 6 |
| ] |
| ] |
| }, |
| { |
| "problem_id": "opt_rule_img__n2_LtoC__L=OY_C=E_R=E__TO__L=E_C=OY_R=E", |
| "pair_id": "n2_LtoC", |
| "n_rings": 2, |
| "src": "L", |
| "tgt": "C", |
| "setting": "rule", |
| "symbolic": false, |
| "initial_state": "L=OY_C=E_R=E", |
| "goal_state": "L=E_C=OY_R=E", |
| "optimal_steps": 3, |
| "max_steps": 100, |
| "initial_image": "L=OY_C=E_R=E.jpg", |
| "goal_image": "L=E_C=OY_R=E.jpg", |
| "pq_gt": [ |
| [ |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ] |
| ] |
| }, |
| { |
| "problem_id": "opt_rule_img__n2_LtoR__L=OY_C=E_R=E__TO__L=E_C=E_R=OY", |
| "pair_id": "n2_LtoR", |
| "n_rings": 2, |
| "src": "L", |
| "tgt": "R", |
| "setting": "rule", |
| "symbolic": false, |
| "initial_state": "L=OY_C=E_R=E", |
| "goal_state": "L=E_C=E_R=OY", |
| "optimal_steps": 3, |
| "max_steps": 100, |
| "initial_image": "L=OY_C=E_R=E.jpg", |
| "goal_image": "L=E_C=E_R=OY.jpg", |
| "pq_gt": [ |
| [ |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 5, |
| 6 |
| ] |
| ] |
| }, |
| { |
| "problem_id": "opt_rule_img__n2_RtoC__L=E_C=E_R=OY__TO__L=E_C=OY_R=E", |
| "pair_id": "n2_RtoC", |
| "n_rings": 2, |
| "src": "R", |
| "tgt": "C", |
| "setting": "rule", |
| "symbolic": false, |
| "initial_state": "L=E_C=E_R=OY", |
| "goal_state": "L=E_C=OY_R=E", |
| "optimal_steps": 3, |
| "max_steps": 100, |
| "initial_image": "L=E_C=E_R=OY.jpg", |
| "goal_image": "L=E_C=OY_R=E.jpg", |
| "pq_gt": [ |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ] |
| ] |
| }, |
| { |
| "problem_id": "opt_rule_img__n2_RtoL__L=E_C=E_R=OY__TO__L=OY_C=E_R=E", |
| "pair_id": "n2_RtoL", |
| "n_rings": 2, |
| "src": "R", |
| "tgt": "L", |
| "setting": "rule", |
| "symbolic": false, |
| "initial_state": "L=E_C=E_R=OY", |
| "goal_state": "L=OY_C=E_R=E", |
| "optimal_steps": 3, |
| "max_steps": 100, |
| "initial_image": "L=E_C=E_R=OY.jpg", |
| "goal_image": "L=OY_C=E_R=E.jpg", |
| "pq_gt": [ |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 5, |
| 6 |
| ], |
| [ |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ] |
| ] |
| }, |
| { |
| "problem_id": "opt_rule_img__n3_CtoL__L=E_C=ROY_R=E__TO__L=ROY_C=E_R=E", |
| "pair_id": "n3_CtoL", |
| "n_rings": 3, |
| "src": "C", |
| "tgt": "L", |
| "setting": "rule", |
| "symbolic": false, |
| "initial_state": "L=E_C=ROY_R=E", |
| "goal_state": "L=ROY_C=E_R=E", |
| "optimal_steps": 7, |
| "max_steps": 100, |
| "initial_image": "L=E_C=ROY_R=E.jpg", |
| "goal_image": "L=ROY_C=E_R=E.jpg", |
| "pq_gt": [ |
| [ |
| 7 |
| ], |
| [ |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ] |
| ] |
| }, |
| { |
| "problem_id": "opt_rule_img__n3_CtoR__L=E_C=ROY_R=E__TO__L=E_C=E_R=ROY", |
| "pair_id": "n3_CtoR", |
| "n_rings": 3, |
| "src": "C", |
| "tgt": "R", |
| "setting": "rule", |
| "symbolic": false, |
| "initial_state": "L=E_C=ROY_R=E", |
| "goal_state": "L=E_C=E_R=ROY", |
| "optimal_steps": 7, |
| "max_steps": 100, |
| "initial_image": "L=E_C=ROY_R=E.jpg", |
| "goal_image": "L=E_C=E_R=ROY.jpg", |
| "pq_gt": [ |
| [ |
| 7 |
| ], |
| [ |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 4, |
| 5, |
| 6 |
| ] |
| ] |
| }, |
| { |
| "problem_id": "opt_rule_img__n3_LtoC__L=ROY_C=E_R=E__TO__L=E_C=ROY_R=E", |
| "pair_id": "n3_LtoC", |
| "n_rings": 3, |
| "src": "L", |
| "tgt": "C", |
| "setting": "rule", |
| "symbolic": false, |
| "initial_state": "L=ROY_C=E_R=E", |
| "goal_state": "L=E_C=ROY_R=E", |
| "optimal_steps": 7, |
| "max_steps": 100, |
| "initial_image": "L=ROY_C=E_R=E.jpg", |
| "goal_image": "L=E_C=ROY_R=E.jpg", |
| "pq_gt": [ |
| [ |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ] |
| ] |
| }, |
| { |
| "problem_id": "opt_rule_img__n3_LtoR__L=ROY_C=E_R=E__TO__L=E_C=E_R=ROY", |
| "pair_id": "n3_LtoR", |
| "n_rings": 3, |
| "src": "L", |
| "tgt": "R", |
| "setting": "rule", |
| "symbolic": false, |
| "initial_state": "L=ROY_C=E_R=E", |
| "goal_state": "L=E_C=E_R=ROY", |
| "optimal_steps": 7, |
| "max_steps": 100, |
| "initial_image": "L=ROY_C=E_R=E.jpg", |
| "goal_image": "L=E_C=E_R=ROY.jpg", |
| "pq_gt": [ |
| [ |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 4, |
| 5, |
| 6 |
| ] |
| ] |
| }, |
| { |
| "problem_id": "opt_rule_img__n3_RtoC__L=E_C=E_R=ROY__TO__L=E_C=ROY_R=E", |
| "pair_id": "n3_RtoC", |
| "n_rings": 3, |
| "src": "R", |
| "tgt": "C", |
| "setting": "rule", |
| "symbolic": false, |
| "initial_state": "L=E_C=E_R=ROY", |
| "goal_state": "L=E_C=ROY_R=E", |
| "optimal_steps": 7, |
| "max_steps": 100, |
| "initial_image": "L=E_C=E_R=ROY.jpg", |
| "goal_image": "L=E_C=ROY_R=E.jpg", |
| "pq_gt": [ |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ] |
| ] |
| }, |
| { |
| "problem_id": "opt_rule_img__n3_RtoL__L=E_C=E_R=ROY__TO__L=ROY_C=E_R=E", |
| "pair_id": "n3_RtoL", |
| "n_rings": 3, |
| "src": "R", |
| "tgt": "L", |
| "setting": "rule", |
| "symbolic": false, |
| "initial_state": "L=E_C=E_R=ROY", |
| "goal_state": "L=ROY_C=E_R=E", |
| "optimal_steps": 7, |
| "max_steps": 100, |
| "initial_image": "L=E_C=E_R=ROY.jpg", |
| "goal_image": "L=ROY_C=E_R=E.jpg", |
| "pq_gt": [ |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ] |
| ] |
| }, |
| { |
| "problem_id": "opt_rule_img__n4_CtoL__L=E_C=SROY_R=E__TO__L=SROY_C=E_R=E", |
| "pair_id": "n4_CtoL", |
| "n_rings": 4, |
| "src": "C", |
| "tgt": "L", |
| "setting": "rule", |
| "symbolic": false, |
| "initial_state": "L=E_C=SROY_R=E", |
| "goal_state": "L=SROY_C=E_R=E", |
| "optimal_steps": 15, |
| "max_steps": 100, |
| "initial_image": "L=E_C=SROY_R=E.jpg", |
| "goal_image": "L=SROY_C=E_R=E.jpg", |
| "pq_gt": [ |
| [ |
| 7 |
| ], |
| [ |
| 3, |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 3, |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ] |
| ] |
| }, |
| { |
| "problem_id": "opt_rule_img__n4_CtoR__L=E_C=SROY_R=E__TO__L=E_C=E_R=SROY", |
| "pair_id": "n4_CtoR", |
| "n_rings": 4, |
| "src": "C", |
| "tgt": "R", |
| "setting": "rule", |
| "symbolic": false, |
| "initial_state": "L=E_C=SROY_R=E", |
| "goal_state": "L=E_C=E_R=SROY", |
| "optimal_steps": 15, |
| "max_steps": 100, |
| "initial_image": "L=E_C=SROY_R=E.jpg", |
| "goal_image": "L=E_C=E_R=SROY.jpg", |
| "pq_gt": [ |
| [ |
| 7 |
| ], |
| [ |
| 3, |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 3, |
| 4, |
| 5, |
| 6 |
| ] |
| ] |
| }, |
| { |
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| 6 |
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| 6 |
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| 6 |
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| { |
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| 5, |
| 6 |
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| { |
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| 4, |
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| 6 |
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| [ |
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| [ |
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| 3, |
| 4, |
| 5, |
| 6 |
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| { |
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| 6 |
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| [ |
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| [ |
| 7 |
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| [ |
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| 2, |
| 3, |
| 4, |
| 5, |
| 6 |
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| [ |
| 7 |
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| { |
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| "pair_id": "n6_LtoR", |
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| 4, |
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| 6 |
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| [ |
| 7 |
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| [ |
| 7 |
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| [ |
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| [ |
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| [ |
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| 3, |
| 4, |
| 5, |
| 6 |
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| { |
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| "initial_state": "L=E_C=E_R=GLSROY", |
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| "goal_image": "L=E_C=GLSROY_R=E.jpg", |
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| 7 |
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| 3, |
| 4, |
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| 6 |
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| [ |
| 7 |
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| [ |
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| 2, |
| 3, |
| 4, |
| 5, |
| 6 |
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| [ |
| 7 |
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| { |
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| "pair_id": "n6_RtoL", |
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| "initial_state": "L=E_C=E_R=GLSROY", |
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| "goal_image": "L=GLSROY_C=E_R=E.jpg", |
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| 3, |
| 4, |
| 5, |
| 6 |
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| [ |
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| 3, |
| 4, |
| 5, |
| 6 |
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| [ |
| 7 |
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| [ |
| 7 |
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| { |
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| "pair_id": "n1_CtoL", |
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| 7 |
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| 6 |
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| 7 |
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| [ |
| 6 |
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| [ |
| 7 |
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| [ |
| 7 |
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| { |
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| 7 |
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| [ |
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| [ |
| 7 |
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| [ |
| 6 |
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| [ |
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| [ |
| 6 |
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| [ |
| 7 |
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| { |
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| 6 |
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| 7 |
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| [ |
| 7 |
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| [ |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 6 |
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| [ |
| 7 |
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| "setting": "free", |
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| "initial_state": "L=E_C=E_R=Y", |
| "goal_state": "L=Y_C=E_R=E", |
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| 7 |
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| [ |
| 7 |
| ], |
| [ |
| 6 |
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| [ |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ] |
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| { |
| "problem_id": "opt_free_img__n2_CtoL__L=E_C=YO_R=E__TO__L=YO_C=E_R=E", |
| "pair_id": "n2_CtoL", |
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| "src": "C", |
| "tgt": "L", |
| "setting": "free", |
| "symbolic": false, |
| "initial_state": "L=E_C=YO_R=E", |
| "goal_state": "L=YO_C=E_R=E", |
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| "initial_image": "L=E_C=YO_R=E.jpg", |
| "goal_image": "L=YO_C=E_R=E.jpg", |
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| 7 |
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| [ |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ] |
| ] |
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| { |
| "problem_id": "opt_free_img__n2_CtoR__L=E_C=YO_R=E__TO__L=E_C=E_R=YO", |
| "pair_id": "n2_CtoR", |
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| "src": "C", |
| "tgt": "R", |
| "setting": "free", |
| "symbolic": false, |
| "initial_state": "L=E_C=YO_R=E", |
| "goal_state": "L=E_C=E_R=YO", |
| "optimal_steps": 3, |
| "max_steps": 100, |
| "initial_image": "L=E_C=YO_R=E.jpg", |
| "goal_image": "L=E_C=E_R=YO.jpg", |
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| [ |
| 7 |
| ], |
| [ |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 5, |
| 6 |
| ] |
| ] |
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| { |
| "problem_id": "opt_free_img__n2_LtoC__L=YO_C=E_R=E__TO__L=E_C=YO_R=E", |
| "pair_id": "n2_LtoC", |
| "n_rings": 2, |
| "src": "L", |
| "tgt": "C", |
| "setting": "free", |
| "symbolic": false, |
| "initial_state": "L=YO_C=E_R=E", |
| "goal_state": "L=E_C=YO_R=E", |
| "optimal_steps": 3, |
| "max_steps": 100, |
| "initial_image": "L=YO_C=E_R=E.jpg", |
| "goal_image": "L=E_C=YO_R=E.jpg", |
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| [ |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ] |
| ] |
| }, |
| { |
| "problem_id": "opt_free_img__n2_LtoR__L=YO_C=E_R=E__TO__L=E_C=E_R=YO", |
| "pair_id": "n2_LtoR", |
| "n_rings": 2, |
| "src": "L", |
| "tgt": "R", |
| "setting": "free", |
| "symbolic": false, |
| "initial_state": "L=YO_C=E_R=E", |
| "goal_state": "L=E_C=E_R=YO", |
| "optimal_steps": 3, |
| "max_steps": 100, |
| "initial_image": "L=YO_C=E_R=E.jpg", |
| "goal_image": "L=E_C=E_R=YO.jpg", |
| "pq_gt": [ |
| [ |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 5, |
| 6 |
| ] |
| ] |
| }, |
| { |
| "problem_id": "opt_free_img__n2_RtoC__L=E_C=E_R=YO__TO__L=E_C=YO_R=E", |
| "pair_id": "n2_RtoC", |
| "n_rings": 2, |
| "src": "R", |
| "tgt": "C", |
| "setting": "free", |
| "symbolic": false, |
| "initial_state": "L=E_C=E_R=YO", |
| "goal_state": "L=E_C=YO_R=E", |
| "optimal_steps": 3, |
| "max_steps": 100, |
| "initial_image": "L=E_C=E_R=YO.jpg", |
| "goal_image": "L=E_C=YO_R=E.jpg", |
| "pq_gt": [ |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ] |
| ] |
| }, |
| { |
| "problem_id": "opt_free_img__n2_RtoL__L=E_C=E_R=YO__TO__L=YO_C=E_R=E", |
| "pair_id": "n2_RtoL", |
| "n_rings": 2, |
| "src": "R", |
| "tgt": "L", |
| "setting": "free", |
| "symbolic": false, |
| "initial_state": "L=E_C=E_R=YO", |
| "goal_state": "L=YO_C=E_R=E", |
| "optimal_steps": 3, |
| "max_steps": 100, |
| "initial_image": "L=E_C=E_R=YO.jpg", |
| "goal_image": "L=YO_C=E_R=E.jpg", |
| "pq_gt": [ |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 5, |
| 6 |
| ], |
| [ |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ] |
| ] |
| }, |
| { |
| "problem_id": "opt_free_img__n3_CtoL__L=E_C=YOR_R=E__TO__L=YOR_C=E_R=E", |
| "pair_id": "n3_CtoL", |
| "n_rings": 3, |
| "src": "C", |
| "tgt": "L", |
| "setting": "free", |
| "symbolic": false, |
| "initial_state": "L=E_C=YOR_R=E", |
| "goal_state": "L=YOR_C=E_R=E", |
| "optimal_steps": 7, |
| "max_steps": 100, |
| "initial_image": "L=E_C=YOR_R=E.jpg", |
| "goal_image": "L=YOR_C=E_R=E.jpg", |
| "pq_gt": [ |
| [ |
| 7 |
| ], |
| [ |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ] |
| ] |
| }, |
| { |
| "problem_id": "opt_free_img__n3_CtoR__L=E_C=YOR_R=E__TO__L=E_C=E_R=YOR", |
| "pair_id": "n3_CtoR", |
| "n_rings": 3, |
| "src": "C", |
| "tgt": "R", |
| "setting": "free", |
| "symbolic": false, |
| "initial_state": "L=E_C=YOR_R=E", |
| "goal_state": "L=E_C=E_R=YOR", |
| "optimal_steps": 7, |
| "max_steps": 100, |
| "initial_image": "L=E_C=YOR_R=E.jpg", |
| "goal_image": "L=E_C=E_R=YOR.jpg", |
| "pq_gt": [ |
| [ |
| 7 |
| ], |
| [ |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 4, |
| 5, |
| 6 |
| ] |
| ] |
| }, |
| { |
| "problem_id": "opt_free_img__n3_LtoC__L=YOR_C=E_R=E__TO__L=E_C=YOR_R=E", |
| "pair_id": "n3_LtoC", |
| "n_rings": 3, |
| "src": "L", |
| "tgt": "C", |
| "setting": "free", |
| "symbolic": false, |
| "initial_state": "L=YOR_C=E_R=E", |
| "goal_state": "L=E_C=YOR_R=E", |
| "optimal_steps": 7, |
| "max_steps": 100, |
| "initial_image": "L=YOR_C=E_R=E.jpg", |
| "goal_image": "L=E_C=YOR_R=E.jpg", |
| "pq_gt": [ |
| [ |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ] |
| ] |
| }, |
| { |
| "problem_id": "opt_free_img__n3_LtoR__L=YOR_C=E_R=E__TO__L=E_C=E_R=YOR", |
| "pair_id": "n3_LtoR", |
| "n_rings": 3, |
| "src": "L", |
| "tgt": "R", |
| "setting": "free", |
| "symbolic": false, |
| "initial_state": "L=YOR_C=E_R=E", |
| "goal_state": "L=E_C=E_R=YOR", |
| "optimal_steps": 7, |
| "max_steps": 100, |
| "initial_image": "L=YOR_C=E_R=E.jpg", |
| "goal_image": "L=E_C=E_R=YOR.jpg", |
| "pq_gt": [ |
| [ |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 4, |
| 5, |
| 6 |
| ] |
| ] |
| }, |
| { |
| "problem_id": "opt_free_img__n3_RtoC__L=E_C=E_R=YOR__TO__L=E_C=YOR_R=E", |
| "pair_id": "n3_RtoC", |
| "n_rings": 3, |
| "src": "R", |
| "tgt": "C", |
| "setting": "free", |
| "symbolic": false, |
| "initial_state": "L=E_C=E_R=YOR", |
| "goal_state": "L=E_C=YOR_R=E", |
| "optimal_steps": 7, |
| "max_steps": 100, |
| "initial_image": "L=E_C=E_R=YOR.jpg", |
| "goal_image": "L=E_C=YOR_R=E.jpg", |
| "pq_gt": [ |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ] |
| ] |
| }, |
| { |
| "problem_id": "opt_free_img__n3_RtoL__L=E_C=E_R=YOR__TO__L=YOR_C=E_R=E", |
| "pair_id": "n3_RtoL", |
| "n_rings": 3, |
| "src": "R", |
| "tgt": "L", |
| "setting": "free", |
| "symbolic": false, |
| "initial_state": "L=E_C=E_R=YOR", |
| "goal_state": "L=YOR_C=E_R=E", |
| "optimal_steps": 7, |
| "max_steps": 100, |
| "initial_image": "L=E_C=E_R=YOR.jpg", |
| "goal_image": "L=YOR_C=E_R=E.jpg", |
| "pq_gt": [ |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ] |
| ] |
| }, |
| { |
| "problem_id": "opt_free_img__n4_CtoL__L=E_C=YORS_R=E__TO__L=YORS_C=E_R=E", |
| "pair_id": "n4_CtoL", |
| "n_rings": 4, |
| "src": "C", |
| "tgt": "L", |
| "setting": "free", |
| "symbolic": false, |
| "initial_state": "L=E_C=YORS_R=E", |
| "goal_state": "L=YORS_C=E_R=E", |
| "optimal_steps": 15, |
| "max_steps": 100, |
| "initial_image": "L=E_C=YORS_R=E.jpg", |
| "goal_image": "L=YORS_C=E_R=E.jpg", |
| "pq_gt": [ |
| [ |
| 7 |
| ], |
| [ |
| 3, |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 3, |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ] |
| ] |
| }, |
| { |
| "problem_id": "opt_free_img__n4_CtoR__L=E_C=YORS_R=E__TO__L=E_C=E_R=YORS", |
| "pair_id": "n4_CtoR", |
| "n_rings": 4, |
| "src": "C", |
| "tgt": "R", |
| "setting": "free", |
| "symbolic": false, |
| "initial_state": "L=E_C=YORS_R=E", |
| "goal_state": "L=E_C=E_R=YORS", |
| "optimal_steps": 15, |
| "max_steps": 100, |
| "initial_image": "L=E_C=YORS_R=E.jpg", |
| "goal_image": "L=E_C=E_R=YORS.jpg", |
| "pq_gt": [ |
| [ |
| 7 |
| ], |
| [ |
| 3, |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 3, |
| 4, |
| 5, |
| 6 |
| ] |
| ] |
| }, |
| { |
| "problem_id": "opt_free_img__n4_LtoC__L=YORS_C=E_R=E__TO__L=E_C=YORS_R=E", |
| "pair_id": "n4_LtoC", |
| "n_rings": 4, |
| "src": "L", |
| "tgt": "C", |
| "setting": "free", |
| "symbolic": false, |
| "initial_state": "L=YORS_C=E_R=E", |
| "goal_state": "L=E_C=YORS_R=E", |
| "optimal_steps": 15, |
| "max_steps": 100, |
| "initial_image": "L=YORS_C=E_R=E.jpg", |
| "goal_image": "L=E_C=YORS_R=E.jpg", |
| "pq_gt": [ |
| [ |
| 3, |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 3, |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ] |
| ] |
| }, |
| { |
| "problem_id": "opt_free_img__n4_LtoR__L=YORS_C=E_R=E__TO__L=E_C=E_R=YORS", |
| "pair_id": "n4_LtoR", |
| "n_rings": 4, |
| "src": "L", |
| "tgt": "R", |
| "setting": "free", |
| "symbolic": false, |
| "initial_state": "L=YORS_C=E_R=E", |
| "goal_state": "L=E_C=E_R=YORS", |
| "optimal_steps": 15, |
| "max_steps": 100, |
| "initial_image": "L=YORS_C=E_R=E.jpg", |
| "goal_image": "L=E_C=E_R=YORS.jpg", |
| "pq_gt": [ |
| [ |
| 3, |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 3, |
| 4, |
| 5, |
| 6 |
| ] |
| ] |
| }, |
| { |
| "problem_id": "opt_free_img__n4_RtoC__L=E_C=E_R=YORS__TO__L=E_C=YORS_R=E", |
| "pair_id": "n4_RtoC", |
| "n_rings": 4, |
| "src": "R", |
| "tgt": "C", |
| "setting": "free", |
| "symbolic": false, |
| "initial_state": "L=E_C=E_R=YORS", |
| "goal_state": "L=E_C=YORS_R=E", |
| "optimal_steps": 15, |
| "max_steps": 100, |
| "initial_image": "L=E_C=E_R=YORS.jpg", |
| "goal_image": "L=E_C=YORS_R=E.jpg", |
| "pq_gt": [ |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 3, |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 3, |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ] |
| ] |
| }, |
| { |
| "problem_id": "opt_free_img__n4_RtoL__L=E_C=E_R=YORS__TO__L=YORS_C=E_R=E", |
| "pair_id": "n4_RtoL", |
| "n_rings": 4, |
| "src": "R", |
| "tgt": "L", |
| "setting": "free", |
| "symbolic": false, |
| "initial_state": "L=E_C=E_R=YORS", |
| "goal_state": "L=YORS_C=E_R=E", |
| "optimal_steps": 15, |
| "max_steps": 100, |
| "initial_image": "L=E_C=E_R=YORS.jpg", |
| "goal_image": "L=YORS_C=E_R=E.jpg", |
| "pq_gt": [ |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 3, |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 3, |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ] |
| ] |
| }, |
| { |
| "problem_id": "opt_free_img__n5_CtoL__L=E_C=YORSL_R=E__TO__L=YORSL_C=E_R=E", |
| "pair_id": "n5_CtoL", |
| "n_rings": 5, |
| "src": "C", |
| "tgt": "L", |
| "setting": "free", |
| "symbolic": false, |
| "initial_state": "L=E_C=YORSL_R=E", |
| "goal_state": "L=YORSL_C=E_R=E", |
| "optimal_steps": 31, |
| "max_steps": 100, |
| "initial_image": "L=E_C=YORSL_R=E.jpg", |
| "goal_image": "L=YORSL_C=E_R=E.jpg", |
| "pq_gt": [ |
| [ |
| 7 |
| ], |
| [ |
| 2, |
| 3, |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 2, |
| 3, |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ] |
| ] |
| }, |
| { |
| "problem_id": "opt_free_img__n5_CtoR__L=E_C=YORSL_R=E__TO__L=E_C=E_R=YORSL", |
| "pair_id": "n5_CtoR", |
| "n_rings": 5, |
| "src": "C", |
| "tgt": "R", |
| "setting": "free", |
| "symbolic": false, |
| "initial_state": "L=E_C=YORSL_R=E", |
| "goal_state": "L=E_C=E_R=YORSL", |
| "optimal_steps": 31, |
| "max_steps": 100, |
| "initial_image": "L=E_C=YORSL_R=E.jpg", |
| "goal_image": "L=E_C=E_R=YORSL.jpg", |
| "pq_gt": [ |
| [ |
| 7 |
| ], |
| [ |
| 2, |
| 3, |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 2, |
| 3, |
| 4, |
| 5, |
| 6 |
| ] |
| ] |
| }, |
| { |
| "problem_id": "opt_free_img__n5_LtoC__L=YORSL_C=E_R=E__TO__L=E_C=YORSL_R=E", |
| "pair_id": "n5_LtoC", |
| "n_rings": 5, |
| "src": "L", |
| "tgt": "C", |
| "setting": "free", |
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| 4, |
| 5, |
| 6 |
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| [ |
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| [ |
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| [ |
| 7 |
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| [ |
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| 3, |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ] |
| ] |
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| { |
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| [ |
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| [ |
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| [ |
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| [ |
| 7 |
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| [ |
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| 3, |
| 4, |
| 5, |
| 6 |
| ] |
| ] |
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| { |
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| "goal_image": "L=E_C=YORSL_R=E.jpg", |
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| [ |
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| 4, |
| 5, |
| 6 |
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| [ |
| 7 |
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| [ |
| 2, |
| 3, |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ] |
| ] |
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| { |
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| "goal_image": "L=YORSL_C=E_R=E.jpg", |
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| 4, |
| 5, |
| 6 |
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| [ |
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| 3, |
| 4, |
| 5, |
| 6 |
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| [ |
| 7 |
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| [ |
| 7 |
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| { |
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| "initial_state": "L=E_C=YORSLG_R=E", |
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| "goal_image": "L=YORSLG_C=E_R=E.jpg", |
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| 7 |
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| 2, |
| 3, |
| 4, |
| 5, |
| 6 |
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| [ |
| 7 |
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| [ |
| 1, |
| 2, |
| 3, |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
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| [ |
| 7 |
| ] |
| ] |
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| { |
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| "pair_id": "n6_CtoR", |
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| "initial_state": "L=E_C=YORSLG_R=E", |
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| "goal_image": "L=E_C=E_R=YORSLG.jpg", |
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| 7 |
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| 2, |
| 3, |
| 4, |
| 5, |
| 6 |
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| [ |
| 7 |
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| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 1, |
| 2, |
| 3, |
| 4, |
| 5, |
| 6 |
| ] |
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| { |
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| "pair_id": "n6_LtoC", |
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| "initial_state": "L=YORSLG_C=E_R=E", |
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| 2, |
| 3, |
| 4, |
| 5, |
| 6 |
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| [ |
| 7 |
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| [ |
| 7 |
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| [ |
| 7 |
| ], |
| [ |
| 1, |
| 2, |
| 3, |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ] |
| ] |
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| { |
| "problem_id": "opt_free_img__n6_LtoR__L=YORSLG_C=E_R=E__TO__L=E_C=E_R=YORSLG", |
| "pair_id": "n6_LtoR", |
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| "initial_state": "L=YORSLG_C=E_R=E", |
| "goal_state": "L=E_C=E_R=YORSLG", |
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| "goal_image": "L=E_C=E_R=YORSLG.jpg", |
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| 1, |
| 2, |
| 3, |
| 4, |
| 5, |
| 6 |
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| [ |
| 7 |
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| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 7 |
| ], |
| [ |
| 1, |
| 2, |
| 3, |
| 4, |
| 5, |
| 6 |
| ] |
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| { |
| "problem_id": "opt_free_img__n6_RtoC__L=E_C=E_R=YORSLG__TO__L=E_C=YORSLG_R=E", |
| "pair_id": "n6_RtoC", |
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| "initial_state": "L=E_C=E_R=YORSLG", |
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| "initial_image": "L=E_C=E_R=YORSLG.jpg", |
| "goal_image": "L=E_C=YORSLG_R=E.jpg", |
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| 7 |
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| 7 |
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| [ |
| 1, |
| 2, |
| 3, |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
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| [ |
| 1, |
| 2, |
| 3, |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
| 7 |
| ] |
| ] |
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| { |
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| "initial_state": "L=E_C=E_R=YORSLG", |
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| "initial_image": "L=E_C=E_R=YORSLG.jpg", |
| "goal_image": "L=YORSLG_C=E_R=E.jpg", |
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| 7 |
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| 2, |
| 3, |
| 4, |
| 5, |
| 6 |
| ], |
| [ |
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| 2, |
| 3, |
| 4, |
| 5, |
| 6 |
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| [ |
| 7 |
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| [ |
| 7 |
| ] |
| ] |
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| { |
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| { |
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| { |
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| "initial_state": "L=E_C=YORS_R=E", |
| "goal_state": "L=E_C=E_R=YORS", |
| "optimal_steps": 15, |
| "max_steps": 100, |
| "initial_image": null, |
| "goal_image": null |
| }, |
| { |
| "problem_id": "opt_free_sym__n4_LtoC__L=YORS_C=E_R=E__TO__L=E_C=YORS_R=E", |
| "pair_id": "n4_LtoC", |
| "n_rings": 4, |
| "src": "L", |
| "tgt": "C", |
| "setting": "free", |
| "symbolic": true, |
| "initial_state": "L=YORS_C=E_R=E", |
| "goal_state": "L=E_C=YORS_R=E", |
| "optimal_steps": 15, |
| "max_steps": 100, |
| "initial_image": null, |
| "goal_image": null |
| }, |
| { |
| "problem_id": "opt_free_sym__n4_LtoR__L=YORS_C=E_R=E__TO__L=E_C=E_R=YORS", |
| "pair_id": "n4_LtoR", |
| "n_rings": 4, |
| "src": "L", |
| "tgt": "R", |
| "setting": "free", |
| "symbolic": true, |
| "initial_state": "L=YORS_C=E_R=E", |
| "goal_state": "L=E_C=E_R=YORS", |
| "optimal_steps": 15, |
| "max_steps": 100, |
| "initial_image": null, |
| "goal_image": null |
| }, |
| { |
| "problem_id": "opt_free_sym__n4_RtoC__L=E_C=E_R=YORS__TO__L=E_C=YORS_R=E", |
| "pair_id": "n4_RtoC", |
| "n_rings": 4, |
| "src": "R", |
| "tgt": "C", |
| "setting": "free", |
| "symbolic": true, |
| "initial_state": "L=E_C=E_R=YORS", |
| "goal_state": "L=E_C=YORS_R=E", |
| "optimal_steps": 15, |
| "max_steps": 100, |
| "initial_image": null, |
| "goal_image": null |
| }, |
| { |
| "problem_id": "opt_free_sym__n4_RtoL__L=E_C=E_R=YORS__TO__L=YORS_C=E_R=E", |
| "pair_id": "n4_RtoL", |
| "n_rings": 4, |
| "src": "R", |
| "tgt": "L", |
| "setting": "free", |
| "symbolic": true, |
| "initial_state": "L=E_C=E_R=YORS", |
| "goal_state": "L=YORS_C=E_R=E", |
| "optimal_steps": 15, |
| "max_steps": 100, |
| "initial_image": null, |
| "goal_image": null |
| }, |
| { |
| "problem_id": "opt_free_sym__n5_CtoL__L=E_C=YORSL_R=E__TO__L=YORSL_C=E_R=E", |
| "pair_id": "n5_CtoL", |
| "n_rings": 5, |
| "src": "C", |
| "tgt": "L", |
| "setting": "free", |
| "symbolic": true, |
| "initial_state": "L=E_C=YORSL_R=E", |
| "goal_state": "L=YORSL_C=E_R=E", |
| "optimal_steps": 31, |
| "max_steps": 100, |
| "initial_image": null, |
| "goal_image": null |
| }, |
| { |
| "problem_id": "opt_free_sym__n5_CtoR__L=E_C=YORSL_R=E__TO__L=E_C=E_R=YORSL", |
| "pair_id": "n5_CtoR", |
| "n_rings": 5, |
| "src": "C", |
| "tgt": "R", |
| "setting": "free", |
| "symbolic": true, |
| "initial_state": "L=E_C=YORSL_R=E", |
| "goal_state": "L=E_C=E_R=YORSL", |
| "optimal_steps": 31, |
| "max_steps": 100, |
| "initial_image": null, |
| "goal_image": null |
| }, |
| { |
| "problem_id": "opt_free_sym__n5_LtoC__L=YORSL_C=E_R=E__TO__L=E_C=YORSL_R=E", |
| "pair_id": "n5_LtoC", |
| "n_rings": 5, |
| "src": "L", |
| "tgt": "C", |
| "setting": "free", |
| "symbolic": true, |
| "initial_state": "L=YORSL_C=E_R=E", |
| "goal_state": "L=E_C=YORSL_R=E", |
| "optimal_steps": 31, |
| "max_steps": 100, |
| "initial_image": null, |
| "goal_image": null |
| }, |
| { |
| "problem_id": "opt_free_sym__n5_LtoR__L=YORSL_C=E_R=E__TO__L=E_C=E_R=YORSL", |
| "pair_id": "n5_LtoR", |
| "n_rings": 5, |
| "src": "L", |
| "tgt": "R", |
| "setting": "free", |
| "symbolic": true, |
| "initial_state": "L=YORSL_C=E_R=E", |
| "goal_state": "L=E_C=E_R=YORSL", |
| "optimal_steps": 31, |
| "max_steps": 100, |
| "initial_image": null, |
| "goal_image": null |
| }, |
| { |
| "problem_id": "opt_free_sym__n5_RtoC__L=E_C=E_R=YORSL__TO__L=E_C=YORSL_R=E", |
| "pair_id": "n5_RtoC", |
| "n_rings": 5, |
| "src": "R", |
| "tgt": "C", |
| "setting": "free", |
| "symbolic": true, |
| "initial_state": "L=E_C=E_R=YORSL", |
| "goal_state": "L=E_C=YORSL_R=E", |
| "optimal_steps": 31, |
| "max_steps": 100, |
| "initial_image": null, |
| "goal_image": null |
| }, |
| { |
| "problem_id": "opt_free_sym__n5_RtoL__L=E_C=E_R=YORSL__TO__L=YORSL_C=E_R=E", |
| "pair_id": "n5_RtoL", |
| "n_rings": 5, |
| "src": "R", |
| "tgt": "L", |
| "setting": "free", |
| "symbolic": true, |
| "initial_state": "L=E_C=E_R=YORSL", |
| "goal_state": "L=YORSL_C=E_R=E", |
| "optimal_steps": 31, |
| "max_steps": 100, |
| "initial_image": null, |
| "goal_image": null |
| }, |
| { |
| "problem_id": "opt_free_sym__n6_CtoL__L=E_C=YORSLG_R=E__TO__L=YORSLG_C=E_R=E", |
| "pair_id": "n6_CtoL", |
| "n_rings": 6, |
| "src": "C", |
| "tgt": "L", |
| "setting": "free", |
| "symbolic": true, |
| "initial_state": "L=E_C=YORSLG_R=E", |
| "goal_state": "L=YORSLG_C=E_R=E", |
| "optimal_steps": 63, |
| "max_steps": 100, |
| "initial_image": null, |
| "goal_image": null |
| }, |
| { |
| "problem_id": "opt_free_sym__n6_CtoR__L=E_C=YORSLG_R=E__TO__L=E_C=E_R=YORSLG", |
| "pair_id": "n6_CtoR", |
| "n_rings": 6, |
| "src": "C", |
| "tgt": "R", |
| "setting": "free", |
| "symbolic": true, |
| "initial_state": "L=E_C=YORSLG_R=E", |
| "goal_state": "L=E_C=E_R=YORSLG", |
| "optimal_steps": 63, |
| "max_steps": 100, |
| "initial_image": null, |
| "goal_image": null |
| }, |
| { |
| "problem_id": "opt_free_sym__n6_LtoC__L=YORSLG_C=E_R=E__TO__L=E_C=YORSLG_R=E", |
| "pair_id": "n6_LtoC", |
| "n_rings": 6, |
| "src": "L", |
| "tgt": "C", |
| "setting": "free", |
| "symbolic": true, |
| "initial_state": "L=YORSLG_C=E_R=E", |
| "goal_state": "L=E_C=YORSLG_R=E", |
| "optimal_steps": 63, |
| "max_steps": 100, |
| "initial_image": null, |
| "goal_image": null |
| }, |
| { |
| "problem_id": "opt_free_sym__n6_LtoR__L=YORSLG_C=E_R=E__TO__L=E_C=E_R=YORSLG", |
| "pair_id": "n6_LtoR", |
| "n_rings": 6, |
| "src": "L", |
| "tgt": "R", |
| "setting": "free", |
| "symbolic": true, |
| "initial_state": "L=YORSLG_C=E_R=E", |
| "goal_state": "L=E_C=E_R=YORSLG", |
| "optimal_steps": 63, |
| "max_steps": 100, |
| "initial_image": null, |
| "goal_image": null |
| }, |
| { |
| "problem_id": "opt_free_sym__n6_RtoC__L=E_C=E_R=YORSLG__TO__L=E_C=YORSLG_R=E", |
| "pair_id": "n6_RtoC", |
| "n_rings": 6, |
| "src": "R", |
| "tgt": "C", |
| "setting": "free", |
| "symbolic": true, |
| "initial_state": "L=E_C=E_R=YORSLG", |
| "goal_state": "L=E_C=YORSLG_R=E", |
| "optimal_steps": 63, |
| "max_steps": 100, |
| "initial_image": null, |
| "goal_image": null |
| }, |
| { |
| "problem_id": "opt_free_sym__n6_RtoL__L=E_C=E_R=YORSLG__TO__L=YORSLG_C=E_R=E", |
| "pair_id": "n6_RtoL", |
| "n_rings": 6, |
| "src": "R", |
| "tgt": "L", |
| "setting": "free", |
| "symbolic": true, |
| "initial_state": "L=E_C=E_R=YORSLG", |
| "goal_state": "L=YORSLG_C=E_R=E", |
| "optimal_steps": 63, |
| "max_steps": 100, |
| "initial_image": null, |
| "goal_image": null |
| } |
| ], |
| "prompt_templates": { |
| "turn0_suffix": "Output format:\nReturn ONLY a single JSON object on one line with this schema:\n{\"pq\": [[...],[...],[...],[...],[...],[...]], \"reason\": \"<text>\"}\n- pq: list of 6 lists (PQ1..PQ6). Each inner list contains option IDs. Use [7] only if the pole is empty.\n- reason: 1-2 sentences about your plan approach (optional; keep short).\nDo not output any extra text.", |
| "step_suffix": "Output format:\nReturn ONLY a single JSON object on one line with this schema:\n{\"state\": \"L=..._C=..._R=...\"}\nIf the current state already matches the goal state, return:\n{\"state\": \"DONE\"}\nDo not output any extra text." |
| }, |
| "schemas": { |
| "turn0": { |
| "pq": "list[list[int]] length 6", |
| "reason": "string" |
| }, |
| "step": { |
| "state": "string" |
| } |
| } |
| } |
