diff --git "a/matchstick_equation/bfs/train/batch_000511.jsonl" "b/matchstick_equation/bfs/train/batch_000511.jsonl" new file mode 100644--- /dev/null +++ "b/matchstick_equation/bfs/train/batch_000511.jsonl" @@ -0,0 +1,100 @@ +{"episode": 51100, "episode_seed": 3834606410, "split": "train", "timestamp": "2025-10-28T03:47:40.235443", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3834606410, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 0, 3, 4])", "action": "('move', [2, 0, 3, 4])", "reward": 0.0, "image": 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", 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", "info": {"equation": "6+16=22", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "6+16=22", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "8f8bf98691aa5277f1e828539a6362ee4762558e25d04b61228cbabc88157f19"} +{"episode": 51101, "episode_seed": 1998805893, "split": "train", "timestamp": "2025-10-28T03:47:40.307800", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1998805893, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [1, 1, 4, 8])", "action": "('move', [1, 1, 4, 8])", "reward": 0.0, "image": 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PXXh39sKw8MT+CkvIJ7lvFt+lraRXCviJ/Od0Eb7m2ghgTuK8hiCvx58K+DoP2UvGXhjR9DsU0ZPh9qFpa2dtEogFqLGRFjQLwE2YAA4x0r5vM+H8TiswrYmGJcE4rRXvorWeq00/PQ/Qp+IOEn4b5dw8sHy1KFaU/baa6t+69+f31zaqyjDXX3fBf+Ccfhzwt4C/aB+LfgT4MaJZad4Ii0/Qry7sNGs4o7C21+RLlLlYzGMCRrSLT3kjH3co2Bv5+wa+dP8Agnf8IPhh8DPDvjL4e/CHwTZeH9Fh1+3nj0+wVtnmyWUJdyWJZmOBySeAB0AFfRderwzBwyOgr30v97b/AAPg+K8dTzDPatandq0Y3l8UuWEY80rN2lK12ryte3NLd/HX/BebxJ8WPDH/AATJ8eXfwllvYpLh7O18QTafHmRNKlnVLnJHKoykI5H8Dtngk1+ZX/BErxt8QtV8A/FfwNrHiW7m8M6L4OvLjRNPlnBisrmcD7S8Y6pvEUBP8OUz13Z/ezxR4Y8PeNfDWoeDvFuj2+o6Vq1lLZ6lYXcYeK5glQpJG6nqrKxBHoa+Tv2gfgV8If2cfCWnfCj4HeAbDw34esvAXiSW20vTkIRXkltXdyWJZmLHqST0HQAV4XFuV1aieOVS0YxSce/vL8Nb+qXy+74b47wOD8O8RwrLCp1a1ZVFV00SUW/PmXJyq2nLOWqtaXqn7IXjvUvHekjU7Lx0/iXRzpcSxax/aC3STSphMiVPkZjtbdjuORnNe11X0lEj0u3WNAo8hOAMdhVivqsrwU8vwaozqObu3d76u/d/mflWKrxxFZzUeVdkcv8AG6/8c6V8F/F+qfDC2ebxLbeF9Ql8OwxQiRpL5baQwKFbhiZAgweD0r4u/Y7+ID3nxj+AGifCzxreaxFqPgnVJvFwcxzyyad9iiL3V4TloZf7Tjt0J4JlaZCMqwX75r47/Ya+CPwl+G37TWuePPAvgCw0vWvFmm+IbnxJqVujebfyjWLYhnLE45djhcDJ6V4+dUJTzfAzUmrSenyv+NrPyZ9NkeY5fh8lxlGvS5p2bg7Kzcoyh7zeqUObnha/vKzWvNH8n/27fHX7Ur/8F0tQ1a2TVZPGWkfFDT7XwJam0DMLJJo/sCRRn5WjeJlb0bzHZuWav6JK+Ovj58E/hL4i/bw0742674BsLvxZoeseFbTR9dmVjNaQveDcqc7RnzH5xn5jg19i0+HqDo4rGXk3+86+l/v1/A+l8R+NcHxbluT0KGGVF4XDqnJq3vPRaW+wuW8U9U5S9WVQ8Ua9b+GPD15r11921gZwP7x7D8TgVfrxP9sD4qN4Y8J3Gj6NYS313aRCc2UQ5uZ2wtvbg4Jy8jKOnGQa9TOMcsuy+dVfFtFd5Pb/AD9D82wdD6ziIw6bv06mD+y74ek+I3xv8SfGfWI1mg8No+h6PK6I2b6bZPfzK24kEL9mh5CkFZhzk19FVyHwF+GC/Bz4RaH8PZbkXF3Z2pk1W8GP9KvpWaa5m4VQd8zyN90fe6V19VlOCWX5fTo9Urvzb1f4ixdf6xiJT6dPToFfhp/wdI+I/ixP+1R4D8J63Jer4Kg8FG68PxNHi2e/e5lW8ZT/AByBFtAc8qCvTdz+5deV/tR/Cj9j/wCKNl4Xi/a50TwfdwWPiOJ/Cf8Awlt7FAp1JgdkcJkdfNdwP9V8wfaMqcDGOe5fPM8ulQjPlbad3to+v9b2PvPCvi7D8EcZ0c0rYZ14xjOPLFJyXNFq8b9Vs/7rkfCHwB8feAfjv+y54C8M/tNftRt4kvNW0PTJdd8Ga743szbXd0pR4oJrRNpcCRYz5J4LKAynkV9P/wDBLzT9O8O+Hvif4M8AWUVv4D0j4kzReD4LO3RLSBns7aXUIbYpw0SX73I4yFkMiDG3avo/7cXgTwd8QP2Zte8FeNPDltqOlarfaVbajYzqQk8T6nahkJUg4I9CDVH9gbwH4N+GHwJl+H3w98OW2kaJpPiXUINO02zUiOCPzc4GSSckkkkkkkkkk189luWV8v4jjCpXlUfs27vtzWtu9Ovqc2P4gw+NyHFKMHD21W6pq3soXalzx1+PT2a91e437zvY9rrkfjx4R+C/jv4Qa/4U/aJstFuPBN3YkeIo/ENwsVkIFYPulkdlCBWVWDZG0qCCCBXXV+cf/Bzb4k+LGi/sLaJpfgeW9j8Pap41t4PGT2iZRoFikkgSZhysZnRD6F1QHnAP1WZ4qODy+pWlHmUU9O/r5d/I83gfI6vEnF2Cy2lW9jKrUilPZxtreO3vae7qvetqj7z+Dng74P8Ag/4VeH/DPwO0rRofB9npUKeHE0R0ltDabcxtE6kiRWB3b8ndndkk5rqFVVAVVAA6ACvxb/4I1fHnWIf2RW8PfE/9r/VfC9ro3iS4tPC+jt41tLFYrHZHIdscoLlfPkmwTx1A4Ffq1+zT4s1jxn4cu9euNdOqadctHLp2oicSpOHUktG4+VkI2kFeOeK8PKuJ8LmOIp4aFKUW15cqsr6eXRaLodfGvC2J4a4gxuEq11VdKpJc93eWu7v9rX3ld2d9Xuel0UUV9UfFBX87f7HHjr9qXU/+C8WkeI9fTVpfHN58Vru18WxXFoDLHYb5IrxGQ8JFHaBwMcIiLt6Cv6JK+PPCXwT+Eum/8FF7j472PgHT4/GOo+NrywvfEIRjcS2y6C4EfJ2gYRBkAE7Rk18xxHQdWtg5KTX72K08+vyt+J+p+G/GuD4TwGcUK+GVV4rDyhFu3uvVWd/sPmvJLVuMdOq+w6KKK+nPyw/mn/Z8+Lnx/wBL/wCCtf8Awm3xP+IureGPFuoePb608cavPdxWU9pC0jpdRs8o2QqsalAOihVC9Fr9Ivj7Y/sx/ELwD4q+KviP40W/jTxT4d8LSPoPiS58U2+panoM0b+baPY+Wf3ExvPJ2FV3yyCOMlgQlfcHhD4R/sd6R+1J4o+JPgrw/wCDk+Ll/pMSeLZ7K7ibVvsZWHY08IctGjBIPnKruwmSeK8M/wCCiPwN+EHxK+Lml+L/AB78PdO1XU/Cng57zw7d3cbE2E5uifMQAhScohG4HBUEYr8yzHh3E4HAVKrxLceb4VezvJK71+Lq9N+p++8R+JeA4n4qwGMp4WWFVGhCL5ElJ8qcuWOsV7N6Ri23aPvcr+E+qfhLeeMdR+FXhnUPiLbND4gn8P2UmuwtGEMd40CGZSo4UiQsMDgV0FFFfpkVyxSPwatUVWrKaSV23ZbK/ReSCvPv2kdIGp+CLS4OmC4Njqsdwr7STAdkibxj2crzxhjXoNFcuPwn17BVMPzcvMmr9isPV9hWjUtezucv8FvCR8D/AAt0bwyxl3QWxdhPjeGkdpCDgDGC5GPauooorahSVCjGmvspL7lYznJzm5dz8jf+DqjxH8WLXwd8J/Cuny3qeCL2/wBRn1URJ/o8upxpELYSMP4hE9wVU9cuRnHEn/BOL47p4p/Yh8Iaf8fP2xr+2uPsVxp8nh3UvHVnbxnTI5XhggeFvn8swKq4JDFe/INfp78df2ffgv8AtNeAJPhd8evh3p/ifQJbqK5bTdSRigmjJKSKVIZWGSMgjhiOhIrpNG8NeHvD2j2nh/QtEtbSxsLaO3srS3gVI4IkUKiKoGAqqAAB0Ar5bH8N4vGZlUxMMS6akkrK99Fa2606/Nn6pifEPLq/hpgeGVgl7WhVnN1NLNPmato3zPmtK+loR32j57+zB4XGlaBq/igNJ/xPNQjmXdjYVjgjiDJxyDt68+1en0AADAFFfRZfg1gMFTw6d+VWv3Py/EVniK8qlrXCvGv2qvAr+NrrTdOGluxvtOu9MW8gUmRFuNgdB1A+4rDI/hPYGvZaKzzTALM8FLDuXKnbX0af6FYXEPC11USva/5DLaEW9vHbqSQiBQT7DFPoor0DnOX+N1/450r4L+L9U+GFs83iW28L6hL4dhihEjSXy20hgUK3DEyBBg8HpX5vWfxv8LeG7n4A2PhT9pm+0CLV/DV+/iDU18QWttc3Vn9hRpJbqWbJjlOoxwqw4Jl85SPkYL+pNcD8LP2W/wBnn4JeMvFPxC+FHwj0bQta8bX32zxTqNjbYk1GffI+98kgfPLI2FwCXJxmvnc7yXEZrXozp1nT5L7Xvr1Wq16b7H1eRZ3lmXZbiKOJo885XcNI2bcZQtNvVKPNzwsn7ys0r80fn34CR+Dfiz41tG8LfF2TxpPb67Y3uqasuvwajPGLaVZoo5Hi+VE/dkAEAnc2Dk8fYFNjhhhz5USrnrtXFOrqybKpZVSnGVV1HJ3bfol3f5ngYzFrFzi1HlSVrBXMXvwu0m9+IkPxCku38yJButtg2tIF2q+evA7eoH0PT0V6GIwuHxSiqsb8rUl5NbM56dWpSbcHa6t8mFFFFdBmFfht/wAHRnij4uj9qzwD4Z1O6v4vBtr4M+2eHFClYG1FrmVbt1YfekVEtAe6grjG7n9ya4T44/sx/AH9pa30W0+PPwp0jxTH4d1RdR0VNVgLi1uQMb1wRkEYypyrYGQcCvJzvLqmaZfLDwlyttPy0fX+tz9C8L+MsHwHxhSzfFUPawjGcWlbmXNFq8b6X6P+62fBv7LPx1sviL8Afh/e/HD9sS71fxHqOjafcav4f1fxzZlZr75HRHt1w+8SCNgmc7gM85Ffef7O3hJvCfw5CyCYPqOo3N+6TDBUyvnAGBxgAjPrXbfZLUNuFtHnPXYKkrhyrIa2X4x4iriHUfLy6rZXT3bfY+YzfN6eZ1ak6dGNJTm5csdldvRKy0V7LyQVz/xU+Ffw7+N3w+1T4VfFnwjZ694d1q3EOqaTfoWiuEDBgDggghlVgQQQVBBBFdBRX0coxnFxkrpnkUa1XD1Y1aUnGUWmmnZprVNNapp6prYwfh18L/h78JfA2lfDT4beELHR9B0SyS00rTLOECO3hUcKM5J9SSSSSSSSSa3VVVAVVAA6ACloojGMUklZIVWrUr1JVKknKUm223dtvVtt7t9WFFFFMgK8X0v4fm6/adOtnTJLYWGpzaozQqdkzPZvahmJznKydscp7EV7RRXn47ALHToycrezmp+tr6HRQxDoKaSvzJr7wooor0DnP5q/2dvjR+0XoX/BWabxh8R/ifrXhTxVrHjm9sPiBqsl9HYzQ2xmYXUMjSfJEirGAFPC+WgXlVr9ePAE3gT41a1deFtA+PU3jnUtQtktbiZvFFvqNzZ2xfB2iIYjTLEksMZ719P+Hv2Xv2fPCnxv1v8AaS8O/CXR7Tx14jsltNb8TRW/+k3cIEY2sc4GRDFkgAtsGScV3UdvBEd0UKKfVVAr4WnwhitYzxT5XK/Kk2nre71Sv8nr3P13xE8Scu4zzDDYnC4JUfZUIU3tur3tZfBG9ore29r2T6KKK+6PyIKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACvH/2zf26v2cv2CPh9p/xJ/aO8UX1jY6tqhsNMtdI0a41C7uZVhknlZILdGkKRQQyzSPjaiRsxIr2Cvgf/gtx4c+JegeIvg3+0f4P+C3ivx7pHg9fGuja5ofgvRJNSvkm1vwzd6fZTfZ48sYvtJSJ36RrPuPANAH3T4V8UeHvHHhfTfGvhHWINR0nWLCG90vULV90VzbyoJI5UPdWRlYH0NX68i/4J/8Awm8Z/Ab9hb4OfBP4ix7Nf8J/DDQtJ1uLeG8q7t7CGKWPI4IV1Zc99teu0AFcz8Zvi94G+AXwq1/4z/Eu/uLbQfDemyX2pzWljLcyiJBkiOKJWeRycBVUEkkAV01ch8fviBpXwr+Cfin4h63omtala6TolxPPYeHNGm1G+nAQjbBbQK0kznPCKCTQBF+zt8fPhz+1J8DvC/7Q/wAIr66ufDPi/SItS0Se9s3t5Xgk+6Xjf5kPHQ812lfIv/BCnXtSvf8Aglr8KPBviD4feLfDGseD/D8eg65pPjLwvdaTdJdwKrOUiuURpIv3g2ygbWIYA5Bx9dUAFJJIkUbSyMAqgliewpaSRxHG0jAkKCSAMk0AeJfslf8ABQr9mP8AbX8R+LfB3wM8Raw+reCpbb+29L8QeG7zS7j7PchzbXkUd1GjTW0wjkMcygq2047Z9ur4C/4JD/FnUP2nv2oPj3+1h8V/hB8RvB3jnxVeWOl6ZoPjH4e6hpFppHhXTpbmHTbeK5uYkju7mZpLi7n8skIbhEHCZP37QAUUUUAeI3X/AAUK/Zo0/wDbHsv2FtS1nXbXx3qcUx0trrwveR6XfTw2q3ktpDftGLeW4S3ZZWiVyyqecHivbq/Pb4z6d4p+Jv8AwXR+Dvin4XfB/wCLkd74Bt9asviHrXiXSrj/AIQyPQptIcwXemyyFrcXsl3LDCXg2zFY5EkG1RX6E0AFFFFAHln7WH7ZfwC/Yq8J+HfGX7QHiqXTLTxX4xsPC+gpbWb3Et3qV45WGJUQE4+VmZuiqpJr1Ovy+/4OD/gl+2x8SfE3gL4gfAv9l5fib4U8Jy6M1nDaeJha3Wla5J4n0uV7j7KsEslwrW1oluZhtW2iubmVtyqy1+nenTXtxp8E+o2a29w8KtPbrLvETkAsobA3YORnAzigCaiiigDzT9rD9q74V/safCgfGL4vW2vXGmya1ZaTa2XhjQJ9Uv7u8u5hDBDDbW6tJK7uwUBQTzXU/CT4l6P8ZPhponxT8P6Jrem2Wu6el3bWHiTRptOv4EYcJPbTqskDjujgEV4V/wAFYfCHwh8ZfsofZPjj4O+LuseH7HxXpmoyH4H2txL4hsbi3lMtvdQi2/fqqTLHl4fnUlTwoYjU/wCCUy/tJp/wTv8AhOv7XjayfiF/wjC/28fEjZ1Lb50n2b7Wev2n7N5Hm558zfnnNAH0HRRRQBW1nWNK8PaRd+INd1CG0sbG2kuLy7uJAscMSKWd2Y8BQoJJ7AV5d+yD+2x8B/25PAl98Sf2f7/W7nSLK/Futzrfhq7037WjRrJFdW4uY0M9tKjBo5kyjjODwRV39tb4a+L/AIz/ALG/xZ+D/wAPiP7e8VfDTXdI0TL7Qbu50+eGEZPT53Xmvj//AIN6PDX7Q/hH4LeN/D3xN034s2PguxuPD1p4K074yrOuqWt9FodrHrccC3H7xLBdQV1gUfugqt5fyYoA/Q2iiigAr58+Ef8AwUu/Z5+Mn7WWqfsWaJ4a+IOkeONMsdRvvK8U/D7UNMs721srlLae4trm4jWO4i8yRAskZKuGBBORX0HXyh+zn4H8Z/Eb/gqh8fP2m/GnhPVLDSfCfhfw/wDDf4f3WpafLAl7AqPq2qXNuZFAlia5u7eHzEypazIzlTQB9X0UUUAFeBfGr/gph+yR+z9+1D4Z/ZB+JfjPU7bxj4ofT0tVtfD91cWNk9/PJb2CXd3GhitWuZopI4hIwLspAr32vyg/4KR/Bv44+Kv+CzXw/wDG/h34E+OtXmj1D4dt4B1nQNCkm8My2tprV/Nr767Ko8rzba1ljltDOd0bvuh+YmgD9X6KKKAP/9k=", 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", "info": {"equation": "15+0*9=15", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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/AAn8LafLep4IvL/UZ9VEUf8Ao8upxpELYSMP4hE9wVU9QXIzjin/AME8vij4b8d/sAeFvA37Q/7WV3aWs2l3OlXPhO88d2ljA2kpK8MNs8QKyLE0ChSCwZkPXmv02/as+Hf7LnxN+D114d/bCsPDE/gpLyCe5bxbfpa2kVwr4ifzndBG+5toIYE7ivIYgr8efCvg6D9lLxl4Y0fQ7FNGT4fahaWtnbRKIBaixkRY0C8BNmAAOMdK+bzPh/E4rMK2JhiXBOK0V76K1nqtNPz0P0KfiDhJ+G+XcPLB8tShWlP22murfuvfn99c2qsow1193wn/AIJ0aRoPgn49fFb4dfB/Trex8B2enaHdyaXpNvGmnWOvSi6F0kOz5Uka1j095IxgAsjEAvk/XtfOn/BO/wCEHww+Bnh3xl8PfhD4JsvD+iw6/bzx6fYK2zzZLKEu5LEszHA5JPAA6ACvouvV4ai4ZHQTd9L/AHt6fI+D4rx1LMM9q1qd2rRjeXxS5YRjzSs3aUrXavK17c0t38df8F5vEnxY8Mf8EyfHl38JZb2KS4eztfEE2nx5kTSpZ1S5yRyqMpCOR/A7Z4JNfmV/wRK8bfELVfAPxX8Dax4lu5vDOi+Dry40TT5ZwYrK5nA+0vGOqbxFAT/DlM9d2f3s8UeGPD3jXw1qHg7xbo9vqOlatZS2epWF3GHiuYJUKSRup6qysQR6Gvk79oH4FfCH9nHwlp3wo+B3gGw8N+HrLwF4klttL05CEV5JbV3cliWZix6kk9B0AFeFxbldWonjlUtGMUnHv7y/DW/ql8vu+G+O8Dg/DvEcKywqdWtWVRVdNElFvz5lycqtpyzlqrWl6p+yF471Lx3pI1Oy8dP4l0c6XEsWsf2gt0k0qYTIlT5GY7W3Y7jkZzXtdV9JRI9Lt1jQKPITgDHYVYr6rK8FPL8GqM6jm7t3e+rv3f5n5Viq8cRWc1HlXZHL/G6/8c6V8F/F+qfDC2ebxLbeF9Ql8OwxQiRpL5baQwKFbhiZAgweD0r4u/Y7+ID3nxj+AGifCzxreaxFqPgnVJvFwcxzyyad9iiL3V4TloZf7Tjt0J4JlaZCMqwX75r47/Ya+CPwl+G37TWuePPAvgCw0vWvFmm+IbnxJqVujebfyjWLYhnLE45djhcDJ6V4+dUJTzfAzUmrSenyv+NrPyZ9NkeY5fh8lxlGvS5p2bg7Kzcoyh7zeqUObnha/vKzWvNH8n/27fHX7Ur/APBdLUNWtk1WTxlpHxQ0+18CWptAzCySaP7AkUZ+Vo3iZW9G8x2blmr+iSvjr4+fBP4S+Iv28NO+Nuu+AbC78WaHrHhW00fXZlYzWkL3g3KnO0Z8x+cZ+Y4NfYtPh6g6OKxl5N/vOvpf79fwPpfEfjXB8W5bk9ChhlReFw6pyat7z0WlvsLlvFPVOUvVlc98VbfSrj4faoustthW2LKwUEq4+4QD33Yroa8T/bA+KjeGPCdxo+jWEt9d2kQnNlEObmdsLb24OCcvIyjpxkGvRzzFU8JldSUlfmXKl3ctEv66H5vgaUq2KilpZ3b7JHnf7KPiHwt40/a41231GFzdeF/DTWvh15IozFLM8sTak8bby2+MPYRH5F273GTuIH1hXydefA7W/wBnG9+H2qaFdLdaroN0l/qd07oP7RkuNy6su8xADzTNJKoAX51iyVAyPrCORJUWWNgysAVYHIIrz+F37DBywU1apSdmu99U/n+h05ouesq8XeM1p8t0LX4af8HSPiP4sT/tUeA/CetyXq+CoPBRuvD8TR4tnv3uZVvGU/xyBFtAc8qCvTdz+5deV/tR/Cj9j/4o2XheL9rnRPB93BY+I4n8J/8ACW3sUCnUmB2RwmR1813A/wBV8wfaMqcDHfnuXzzPLpUIz5W2nd7aPr/W9j7Hwr4uw/BHGdHNK2GdeMYzjyxSclzRavG/VbP+65Hwh8AfH3gH47/sueAvDP7TX7UbeJLzVtD0yXXfBmu+N7M213dKUeKCa0TaXAkWM+SeCygMp5FfT/8AwS80/TvDvh74n+DPAFlFb+A9I+JM0Xg+Czt0S0gZ7O2l1CG2KcNEl+9yOMhZDIgxt2r6P+3F4E8HfED9mbXvBXjTw5bajpWq32lW2o2M6kJPE+p2oZCVIOCPQg1R/YG8B+Dfhh8CZfh98PfDltpGiaT4l1CDTtNs1Ijgj83OBkknJJJJJJJJJJNfPZbllfL+I4wqV5VH7Nu77c1rbvTr6nNj+IMPjchxSjBw9tVuqat7KF2pc8dfj09mvdXuN+872Pa65H48eEfgv47+EGv+FP2ibLRbjwTd2JHiKPxDcLFZCBWD7pZHZQgVlVg2RtKggggV11fnH/wc2+JPixov7C2iaX4HlvY/D2qeNbeDxk9omUaBYpJIEmYcrGZ0Q+hdUB5wD9VmeKjg8vqVpR5lFPTv6+XfyPN4HyOrxJxdgstpVvYyq1IpT2cba3jt72nu6r3rao+8/g54O+D/AIP+FXh/wz8DtK0aHwfZ6VCnhxNEdJbQ2m3MbROpIkVgd2/J3Z3ZJOa6hVVQFVQAOgAr8W/+CNXx51iH9kVvD3xP/a/1Xwva6N4kuLTwvo7eNbSxWKx2RyHbHKC5Xz5JsE8dQOBX6tfs0+LNY8Z+HLvXrjXTqmnXLRy6dqInEqTh1JLRuPlZCNpBXjnivDyrifC5jiKeGhSlFteXKrK+nl0Wi6HXxrwtieGuIMbhKtdVXSqSXPd3lru7/a195XdnfV7npdFFFfVHxQV/O3+xx46/al1P/gvFpHiPX01aXxzefFa7tfFsVxaAyx2G+SK8RkPCRR2gcDHCIi7egr+iSvjzwl8E/hLpv/BRe4+O9j4B0+PxjqPja8sL3xCEY3EtsuguBHydoGEQZABO0ZNfMcR0HVrYOSk1+9itPPr8rfifqfhvxrg+E8BnFCvhlVeKw8oRbt7r1Vnf7D5ryS1bjHTqvsOiiivpz8sP5p/2fPi58f8AS/8AgrX/AMJt8T/iLq3hjxbqHj2+tPHGrz3cVlPaQtI6XUbPKNkKrGpQDooVQvRa/SL4+2P7MfxC8A+Kvir4j+NFv408U+HfC0j6D4kufFNvqWp6DNG/m2j2Pln9xMbzydhVd8sgjjJYEJX3B4Q+Ef7HekftSeKPiT4K8P8Ag5Pi5f6TEni2eyu4m1b7GVh2NPCHLRowSD5yq7sJknivDP8Agoj8DfhB8Svi5pfi/wAe/D3TtV1Pwp4Oe88O3d3GxNhObonzEAIUnKIRuBwVBGK/Msx4dxOBwFSq8S3Hm+FXs7ySu9fi6vTfqfvvEfiXgOJ+KsBjKeFlhVRoQi+RJSfKnLljrFezekYtt2j73K/hPqn4S3njHUfhV4Z1D4i2zQ+IJ/D9lJrsLRhDHeNAhmUqOFIkLDA4FdBRRX6ZFcsUj8GrVFVqymkldt2Wyv0Xkgrz79pHSBqfgi0uDpguDY6rHcK+0kwHZIm8Y9nK88YY16DRXLj8J9ewVTD83LzJq/YrD1fYVo1LXs7nL/BbwkfA/wALdG8MsZd0FsXYT43hpHaQg4AxguRj2rqKKK2oUlQoxpr7KS+5WM5yc5uXc/I3/g6o8R/Fi18HfCfwrp8t6ngi9v8AUZ9VESf6PLqcaRC2EjD+IRPcFVPXLkZxxJ/wTi+O6eKf2IfCGn/Hz9sa/trj7FcafJ4d1Lx1Z28Z0yOV4YIHhb5/LMCquCQxXvyDX6e/HX9n34L/ALTXgCT4XfHr4d6f4n0CW6iuW03UkYoJoySkilSGVhkjII4YjoSK6TRvDXh7w9o9p4f0LRLW0sbC2jt7K0t4FSOCJFCoiqBgKqgAAdAK+Wx/DeLxmZVMTDEumpJKyvfRWtutOvzZ+qYnxDy6v4aYHhlYJe1oVZzdTSzT5mraN8z5rSvpaEd9o+e/sweFxpWgav4oDSf8TzUI5l3Y2FY4I4gyccg7evPtXp9AAAwBRX0WX4NYDBU8OnflVr9z8vxFZ4ivKpa1wrxr9qrwK/ja603Thpbsb7TrvTFvIFJkRbjYHQdQPuKwyP4T2Br2Wis80wCzPBSw7lyp219Gn+hWFxDwtdVEr2v+Qy2hFvbx26kkIgUE+wxT6KK9A5zl/jdf+OdK+C/i/VPhhbPN4ltvC+oS+HYYoRI0l8ttIYFCtwxMgQYPB6V+b1n8b/C3hu5+ANj4U/aZvtAi1fw1fv4g1NfEFrbXN1Z/YUaSW6lmyY5TqMcKsOCZfOUj5GC/qTXA/Cz9lv8AZ5+CXjLxT8QvhR8I9G0LWvG199s8U6jY22JNRn3yPvfJIHzyyNhcAlycZr53O8lxGa16M6dZ0+S+1769Vqtem+x9XkWd5Zl2W4ijiaPPOV3DSNm3GULTb1Sjzc8LJ+8rNK/NH59+Akfg34s+NbRvC3xdk8aT2+u2N7qmrLr8Gozxi2lWaKOR4vlRP3ZABAJ3Ng5PH2BTY4YYc+VEq567VxTq6smyqWVUpxlVdRyd236Jd3+Z4GMxaxc4tR5UlawVzF78LtJvfiJD8QpLt/MiQbrbYNrSBdqvnrwO3qB9D09FehiMLh8UoqrG/K1JeTWzOenVqUm3B2urfJnNfEb4aad8RoLSK9v5LdrSYsHjQMWRsbl56ZwOe3oa6KCGK2gS3hXakaBUUdgBgU+inDC4elXnWjG0p2u+9tglVqSpqDei2+YV+G3/AAdGeKPi6P2rPAPhnU7q/i8G2vgz7Z4cUKVgbUWuZVu3Vh96RUS0B7qCuMbuf3JrhPjj+zH8Af2lrfRbT48/CnSPFMfh3VF1HRU1WAuLW5AxvXBGQRjKnKtgZBwK4M7y6pmmXyw8JcrbT8tH1/rc++8L+MsHwHxhSzfFUPawjGcWlbmXNFq8b6X6P+62fBv7LPx1sviL8Afh/e/HD9sS71fxHqOjafcav4f1fxzZlZr75HRHt1w+8SCNgmc7gM85Ffef7O3hJvCfw5CyCYPqOo3N+6TDBUyvnAGBxgAjPrXbfZLUNuFtHnPXYKkrhyrIa2X4x4iriHUfLy6rZXT3bfY+YzfN6eZ1ak6dGNJTm5csdldvRKy0V7LyQVz/AMVPhX8O/jd8PtU+FXxZ8I2eveHdatxDqmk36ForhAwYA4IIIZVYEEEFQQQRXQUV9HKMZxcZK6Z5FGtVw9WNWlJxlFppp2aa1TTWqaeqa2MH4dfC/wCHvwl8DaV8NPht4QsdH0HRLJLTStMs4QI7eFRwozkn1JJJJJJJJJrdVVUBVUADoAKWiiMYxSSVkhVatSvUlUqScpSbbbd229W23u31YUUUUyArxfS/h+br9p062dMkthYanNqjNCp2TM9m9qGYnOcrJ2xynsRXtFFefjsAsdOjJyt7Oan62vodFDEOgppK/MmvvCiiivQOc/mr/Z2+NH7Rehf8FZpvGHxH+J+teFPFWseOb2w+IGqyX0djNDbGZhdQyNJ8kSKsYAU8L5aBeVWv148ATeBPjVrV14W0D49TeOdS1C2S1uJm8UW+o3NnbF8HaIhiNMsSSwxnvX0/4e/Ze/Z88KfG/W/2kvDvwl0e08deI7JbTW/E0Vv/AKTdwgRjaxzgZEMWSAC2wZJxXdR28ER3RQop9VUCvhafCGK1jPFPlcr8qTaet7vVK/yevc/XfETxJy7jPMMNicLglR9lQhTe26ve1l8Eb2it7b2vZPooor7o/IgooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK8f/AGzf26v2cv2CPh9p/wASf2jvFF9Y2OraobDTLXSNGuNQu7mVYZJ5WSC3RpCkUEMs0j42okbMSK9gr4H/AOC3Hhz4l6B4i+Df7R/g/wCC3ivx7pHg9fGuja5ofgvRJNSvkm1vwzd6fZTfZ48sYvtJSJ36RrPuPANAH3T4V8UeHvHHhfTfGvhHWINR0nWLCG90vULV90VzbyoJI5UPdWRlYH0NX68i/wCCf/wm8Z/Ab9hb4OfBP4ix7Nf8J/DDQtJ1uLeG8q7t7CGKWPI4IV1Zc99teu0AFcz8Zvi94G+AXwq1/wCM/wAS7+4ttB8N6bJfanNaWMtzKIkGSI4olZ5HJwFVQSSQBXTVyHx++IGlfCv4J+KfiHreia1qVrpOiXE89h4c0abUb6cBCNsFtArSTOc8IoJNAEX7O3x8+HP7UnwO8L/tD/CK+urnwz4v0iLUtEnvbN7eV4JPul43+ZDx0PNdpXyL/wAEKde1K9/4Ja/Cjwb4g+H3i3wxrHg/w/HoOuaT4y8L3Wk3SXcCqzlIrlEaSL94NsoG1iGAOQcfXVABSSSJFG0sjAKoJYnsKWkkcRxtIwJCgkgDJNAHiX7JX/BQr9mP9tfxH4t8HfAzxFrD6t4Kltv7b0vxB4bvNLuPs9yHNteRR3UaNNbTCOQxzKCrbTjtn26vgL/gkP8AFnUP2nv2oPj3+1h8V/hB8RvB3jnxVeWOl6ZoPjH4e6hpFppHhXTpbmHTbeK5uYkju7mZpLi7n8skIbhEHCZP37QAUUUUAeI3X/BQr9mjT/2x7L9hbUtZ1218d6nFMdLa68L3kel308Nqt5LaQ37Ri3luEt2WVolcsqnnB4r26vz2+M+neKfib/wXR+Dvin4XfB/4uR3vgG31qy+IeteJdKuP+EMj0KbSHMF3pssha3F7Jdywwl4NsxWORJBtUV+hNABRRRQB5Z+1h+2X8Av2KvCfh3xl+0B4ql0y08V+MbDwvoKW1m9xLd6leOVhiVEBOPlZmboqqSa9Tr8vv+Dg/wCCX7bHxJ8TeAviB8C/2Xl+JvhTwnLozWcNp4mFrdaVrknifS5XuPsqwSyXCtbWiW5mG1baK5uZW3KrLX6d6dNe3GnwT6jZrb3Dwq09usu8ROQCyhsDdg5GcDOKAJqKKKAPNP2sP2rvhX+xp8KB8Yvi9ba9cabJrVlpNrZeGNAn1S/u7y7mEMEMNtbq0kru7BQFBPNdT8JPiXo/xk+GmifFPw/omt6bZa7p6XdtYeJNGm06/gRhwk9tOqyQOO6OARXhX/BWHwh8IfGX7KH2T44+Dvi7rHh+x8V6ZqMh+B9rcS+IbG4t5TLb3UItv36qkyx5eH51JU8KGI1P+CUy/tJp/wAE7/hOv7XjayfiF/wjC/28fEjZ1Lb50n2b7Wev2n7N5Hm558zfnnNAH0HRRRQBW1nWNK8PaRd+INd1CG0sbG2kuLy7uJAscMSKWd2Y8BQoJJ7AV5d+yD+2x8B/25PAl98Sf2f7/W7nSLK/Futzrfhq7037WjRrJFdW4uY0M9tKjBo5kyjjODwRV39tb4a+L/jP+xv8Wfg/8PiP7e8VfDTXdI0TL7Qbu50+eGEZPT53Xmvj/wD4N6PDX7Q/hH4LeN/D3xN034s2PguxuPD1p4K074yrOuqWt9FodrHrccC3H7xLBdQV1gUfugqt5fyYoA/Q2iiigAr58+Ef/BS79nn4yftZap+xZonhr4g6R440yx1G+8rxT8PtQ0yzvbWyuUtp7i2ubiNY7iLzJECyRkq4YEE5FfQdfKH7Ofgfxn8Rv+CqHx8/ab8aeE9UsNJ8J+F/D/w3+H91qWnywJewKj6tqlzbmRQJYmubu3h8xMqWsyM5U0AfV9FFFABXgXxq/wCCmH7JH7P37UPhn9kH4l+M9TtvGPih9PS1W18P3VxY2T388lvYJd3caGK1a5mikjiEjAuykCvfa/KD/gpH8G/jj4q/4LNfD/xv4d+BPjrV5o9Q+HbeAdZ0DQpJvDMtraa1fza++uyqPK822tZY5bQzndG77ofmJoA/V+iiigD/2Q==", 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", 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", "info": {"equation": "15+0*9=15", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "9c5a640c35df4092abce2eeaae39a0403b84116411452d79472b6f3e0f17005e"} +{"episode": 51102, "episode_seed": 1087107119, "split": "train", "timestamp": "2025-10-28T03:47:40.372232", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1087107119, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 5, 6, 4])", "action": "('move', [3, 5, 6, 4])", "reward": 0.0, "image": 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", 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/7PtHmfJEiQ/IufkWMDHygGv6hq+IPFvwD+DM37et/wDH+f4b6a/jRfijpNkniKRGa4WD7BYpsGTtHykrkLnBIzgmvnuLcNOvTw3LNx/eKOn97r6q2nqfrHhNx5gOCHmaxOEVf29BxV7aNX92V/8Al3Pm9+137sdGcx4iP7Nnx21jTPDXxI/aDsviXHaXzXGj+GvE3jSz1K2NyI3UTC1XCzSLG0mCyttDMQAeR7b/AMEpb6+n/Z01vR9Lvrm68GaP8QtX074Z3M+GjbQYmjWJLeQE+dbRz/aoYXJOYokAJUAnS/4KKfBz4XfGn4deDvh/8VfBFlrei3XjpJJ9PugwR2TTNQZDlCrDDAHg11/7EHh/Q/Cf7M2geFvDGkwWGm6beapa2FjaxhI7eGPUrpEjUDoAoAH0rmyjL62B4knCpWdRqne763aVnq9j5bE5zRq8I/VVzXlUVou3JBRTfNHW/PJtp+7FJX1k5e76xXh3/BSrxN8YvBv7BvxT8T/AJ75PFll4Tnk0yXTIt9zCuVE0kQ671hMrAj5gVBHIFe40EBgVYAgjkGvs69N1qMqadrpq63V1v8j5fK8ZHLszoYuVNVFTnGTjLaXLJPlfk7Wfkz+aX/gjf4++Jmkftl+H/AXh3xPeQ+HNfvTP4o01Jx5N4be3uGtndW+8ySvlSvzDc38O6v2T/Zm+IOqf8Jdrfgjwj8Q3vdQtPHF7Nc+HU1NJDYpJcEANCvzRRuMv83BLMwPp1XxP/ZR/Zy/Zh8CxN8APg/o3hQ+I/iDp93rZ0m3KfapQJtpOScKu99qDCrubAGTXo/7HUaD4UXkgQbj4u1nLY5P+nTV+bYTh3E0c3jhHXaahzXjfbn+Far19eh+reJnH2X8cZ1POMLhfZwajC0rczcY/FK11fXlWvwxjr0PVqKKK/Tj8bPzS/wCDnrxT8ZdE/Y68K6H4Hlv4vCer+LfJ8bSWcf7twkfmWkUzDkRmVWYA/KXjTPIUH5j/AOCI3x28R6f8BvEngv4h/tX6t4Q0HRdaiTwppX/CX2thGvmrJLdeWkwLFd7RscfKGdsclq/Zz47+EPgv48+EOv8AhT9oiw0W58FXdif+Eij8QzpFZCBWD75XdlEYVlVg+RtKggggGoPgH4E+A/gX4QaF4W/Zz0jQIPBVtaE+H08OypNZtEzs5eORSwkDOzMW3HJJJJNfJZlw/icdmzxFPEuneKWl7q3bVaPf1P2HC+ImBw/hL/qxLAc0/bc/tbLl35r3tf2tvc/699eh8C2Hgn4HeD/jf8H/AIl/s1z6ZqXj7WPi7CkniPSLqHUdQ12yuXca893OCzTRramWR3PELrEF2bgrfpdXxF8E/gF8F/Cv7csPxv8ADvw30208Xa38S/E9vqmvxoxnniEeqjZySFH7qPO0DOwZzX27T4RoSoYSsnJv95Ja+Vlf59T47i3NaeY/VYRlKbhT1lP4m5NvlWsvch9m7u25StG/KivwV/4Ob/E/xkv/ANtvRPCXjCW/XwdYeEYJvB0Eke21aSVj9skQjh5DIiKxPzAJGOBjP71V8q/8FGPgN8HPj1448BaT8Zfh3p/iO10vRtdvNPt9RVikM4l0xd4CsM8EjByD3Fb8W0nUyOo07crT9dUrP77/ACPd8IuL8JwTxrSzLE0Pax5Zxsrc0eZfFG+l9LPVe7KR8nfsffGDQfiT+xF4O0L9ov8AbKvo59U8LtZ674du/iDZ2cbWW6SKO3kjTa8aNbCNSNwYqxyQSa93/YR8J+A/hp+3Xr/g39nPw/p2meFb34VW93460/w7ZwrYQakl3Emkuxj/ANXPLaPfHaMb440kIJIZve7nTdOuP+CfMlvNYQsj/BsqyGMYIOk4xXAf8E4/gX8H/gB4n8beEvgv8PtP8OaddaNod3c2unq2JZ2k1JTIzOWZjtVRyeAOK8LD5ViMFn2E9pXlO6k9b6JLbd6O5lW4nw2KwWZ1Y03TVaTtSjb2S553u9VrT05EovVJ8y5bP6oooor9CPzc8f1T4N/sSXn7Xtl8U9X8PeCG+NSaPmxnmvoRrJsxG8Xmrbl9zKI/MTzdhIUFd2BgeuLa2qMGS2jBHQhBX8xf7SPxj/ap0H/gqF4p+J3iDxfrWjfEnTviLPBa37yLbz2SLKYII03fIkQtyiKD8hjPOVJJ/ZzwT8dPCZ8TR2Gg/tnXXiG7vA1vb6TcePbO685m/uRxgOX442nPWvhYcZYOhKrGVBp8z2tr5y2s++5+0eIvhpmHC1DLJ1cesQq1FNXbfJaz5Yav9373uPS/vaI+3KKxfh5c63eeCdNuvEQf7Y9uDMZBhjycFgehIwT71tV9rQqqvQjUStzJOz3V1fU/GqkPZzcezseS/t5eIPi54V/Yy+JviT4Di8/4S+y8GX02gtp0PmXCTiIndEvd1G4rgE5AwCcCv5/P+CPPxR8YeCP2zbf7P8Y73whpGtaPex+K9Xh1mGzMsKxNLGrzTggZuVh6fMSfQmv6Xa+If+Cb/wCz/wDBX4R/FfTvEXw2+GumaPf+Jvh1dXev3dtGxkvZvtGmtucuTj5pHOBgZY8V8hxLgqmLzXCRhVcHLmSa6WV7rVavY/X+BePsBw3wJnOUVsGqs8So8snayuuX3r6+58cLXtO+255h8XvDv7HfxR8NeJ/iX8Ufi/p3jXU9H8LsP+Eo1TxZb6hf6BbxuZIpLNkYfZZBcFWRkAd5NiktkLX3b+yfq/xP8QfswfDvXfjXBcx+MLzwVpk3iiO9thDMt+1rGZxJGAAj+YWyoAwcivmX/gpH+z/8FPix8VrjxT8Sfhppmtah4X+Gkl1oFxexsfsU3nXTb1UEKx3RofmBHyjivtWxJayhZiSTEuSfpT4bwdTB5ri6c6jm48qbfW6bu9Xqtj5DO84pYvhzCYZczd5S961qaXuqFPVu0tJT0jqopR927lr86v8Ag5h8T/GLQP2D9M074ezX8Xh7VfGNvbeN5bKPKm08t3hSZhysbXCxexYIp6gH9Faw/iT8NvAfxh8B6r8MPif4WtNb0DW7NrXVdKvo90VxE3VSOo5wQRgggEEEA19NmOFljsDUoRlyuStf+unfyOPgzPqHC/FWDzatS9rCjNScdNUu19OZbx/vJH4e/wDBDP4za14d+Fvjbwb4y/acv/BXhyz1i1n0Gwh8U2mnJLcyxyfanAlBZztjtsn7o7ck19T6t4M+Bvhj4kfDX4vfs532m6x8S9T+MVj9j8U6Zew6nqmtC5nRNaW4nBYyxLpz3DyfwwKiFRHnn9Dfg/8AA/4SfAH4e2Hwp+DfgDTvD/h3TPM+w6VYQ4jiLu0jn5iSSzsxJJJJNfJXgD4B/BnRP28I/j1pPw402DxlqPxS1a0vfEKoxuJIBZXq7OW2qNsaAlQCQvJ5OfgsVkGKy6WEVTEOV6kY21tHzjd9OmiP0DM+P8BnvF+Y5zSoyo06ilJU42tUtFRUa2qXLPWVS3PdtpLXmX2/RRRX6UfjB8OfGvx5HYftsfFqy+NvjOTTNN0rwZpD+FINTnjt7WPQWt3a+u4CxAkJvfMSZznb5NupwCu7zP8AZE/aTtbn4AeB/E3xF/bn1KHWRpcU1zp+peOtPt/kV28lZbfaNmYRHuQ4IyQcHNfdnx0/ZO/Zv/aZv9A1P49/B3RfFVx4XvGutBl1W3Lm0kYoWxgjcrGNCUbKtsGQcV35s7QnJtYyf9wV8ZW4YxtXH1q8MU4Kbvpe/o9Vtst9Ox9vjOI8nq5TRo08N+9tTU21FRj7OHIuRq7ftPjqXUfeS+Lc4f8AZ+1jxHrXhKa81y6luITc5sbmZyxkQgE4J+8ueh9yO1d5QAAMAUV9PgMLLBYOFCU3NxVrvdnx1eqq1aU0rX6BX5PeOPjb4n8O/saan418TfF2/wBG+K0vxLMeq3FzdW8OoWviH+2lR7Ty5MrFHHbqqqMYW1RJAdvzn9Ya87T9kz9m6P8AaBk/apT4N6IPiHLZfZZPFf2b/Smi8oRdc7d3lgR78btny5xxXmZ9k9bN40lTqcnJK/8AwV5rp6vU+n4XzvKsojVWNo+0TcJxsou8qfN+7lfanU5vfau/dXuvp8t6F8Sfhj4r8V2Onx/tXv4yu47l30jSNQ8cWl7++Mbp5kcUeGaQRvIvfCu3HcfXPwI8HN4D+FemeHX84Nvubp1nADq1xcSXBUgAYwZSAOoA55rq1tbVGDJbRgjoQgqSoynIqmW4uWIq13UlJcuq6Xvu2zw8Xj44miqcYKKTvp/wyCiiivojzjgf2jtFXWfh6jPpa3Is9ShugxBJgKbsSDHpnHPGCam/Z38Ht4M+GUNk4mD3uoXl/Ik4wymed5cYwMD5uM84ruOvWivNjlyWbPHc2rhyW+d73Ol4lvCKhbre/wArBRRRXpHMfml/wc9eKfjLon7HXhXQ/A8t/F4T1fxb5PjaSzj/AHbhI/MtIpmHIjMqswB+UvGmeQoPzH/wRG+O3iPT/gN4k8F/EP8Aav1bwhoOi61EnhTSv+EvtbCNfNWSW68tJgWK72jY4+UM7Y5LV+1PxT+Ffw7+N3w/1T4VfFnwhZ694d1q3EOqaTfx7orhAwYA4wQQyqwIIIKggggGovhV8HPhd8D/AIf6b8K/hL4G0/QfD2jxNHpulWMOIoFZ2dsZySSzMxJJJLEkkmvlMy4dxeOzR4qniHTTilpe6t0Wq0e++/Q/XsL4k5Zh/Cn/AFUlglKr7b2ntNLWvzc21/af8u9rez69DwL9ljQfCvjfxhoPi3wZ4u/t6w0W/vb+TWrXUo7xbq6lhuIpWlmTKs7NcyMQMHcOgAIr6ipEjjiXbGgUeijFLXq5Plf9k4V0XNzbk5NtW1dvN9u5+WYzFfW6qny2srWCvin46eO7nTf28PG9l8X/ABc2m6RpPw80yfwZBqdwlvZDTnaZ9Uuo2YgO4migWZjyiRw52qQW+1q89+P37KP7OX7U1po9j+0L8ING8WRaBem70dNWgL/ZpWADFcEZVgq7kOVbauQcCpz3Laua5e8PTnyu6fk7dH/W9j1eHMxy/LsZP67FunOLi3FJzj70ZKUVJpX93leq92Utej+Af2Wvjr4X8X/sz+H4vin+2zqQF3ZXNvLo+qeObC0Emmi4mjtoprcKDGGtBCGThsMc4Oa+4P2VvC0ME+t/EG2d2h1ezsbW2ZSDE8UBuHV0IHzA/aSM5IOBjoc+trYWKKESziAUYAEYwBUoAAwBgDsK87L+HK2Dx0MTVxMqnImkmu6t1k/6sTmuc0Mwq1nRoKlGpJystopu6SsltsvIKKKK+pPBPO7/APZM/Zu1P9oC3/ao1D4OaLN8QrWz+y2/ip7cm5SLy2i9dpby2ZN5G7aducACvQFtbVGDJbRgjoQgqSiohTp078qSu7u3V935nTiMZi8WoKvUlPkiox5m3yxW0VfaKu7JaIKKKKs5jyj9unXvil4X/Y7+JPiH4Kvfp4os/CN5LpEulQebdROIzukhTB3Sqm5lABO4DAJwK+HfH3xm8CeC/id8D/D3wt/aRfw5pN9oupLe3ul+IrSHz9BWwQwyyzy7tubuG1VSDl2Eo52tj9Oa86+Cn7JH7NX7OWseIfEHwO+DOh+GbzxXeC68QT6ZbbTeSBnZc5JCqGkchFwo3HAFfNZ1keJzTF0qtKs4cia63V+qs1r0eq0PsMkz3KsvymrQxNDnqe+4aRtJzgoe+3qlTtzwspe9de7fmXzF4Pl8BfGi61Xwr4d+OknjnVdW0z7Bc3B8T2+o3VravvUBREMIgaRmyVxk8ntX3BBEIYEhByEQLz7Ckjt4IjuihRT6qoFPrpybJp5VKrKdV1JTtdtdr+bvufO43GrFqKUOVRvt5/cFFFFe4cIV4Tonw1F5+0al+NKls10zxDc6w3kKQkjyQTxb2LZ4fzi3GPmHHQivdqK83MMuWPqUZOVvZzUvW3Q6cPiXh4zSV+ZW9Aooor0jmCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArkPj58d/hX+zF8G/EPx9+NviqLRPCvhbTmvdZ1KVGfyowQAFVQWd2YqiooJZmUAEmuvr5N/4Le/BX4n/Hn/gmz448HfB7wleeIdc0/U9C16Lw7p0e+41SDTdYs76e2iT+ORobeTanVmCqOTQB7J+yX+158D/21/hQfjD8BtdvbrTYNWudL1Oy1bSprC+0y/t2CzWt1bTqskEq5UlGAOHU9CK9Or4u/wCCNvhbx/qEH7QX7S/iv4a+JPB+j/GP496j4m8G6B4u0iTT9RGmCxsrRLme1kw9u8sltI2xwG2hSeor7RoAKKKKAPG/2yv28f2c/wBg3wvoHi39onX9TsrXxLrsWk6SulaHcXzvcSMqguIUYRRgugLuQuXUckgV7JXwx/wcI+LNStf+Cf8Ac/DXw18LPHXivWvE/i/QW02x8EeC73WHjWy1eyvZ3mFrG5hXyYJCrNgMwCjk19lfDH4gaV8V/hzofxN0LStWsLLxBpUGoWllr2lS2N7BHLGHVJ7eYLJBKAcNG4DKQQQCKAN2iiigArwL4lf8FL/2TfhF+1ZoX7HPxC8U61p3izxFqNtpum3s3ha9/shtRuYTNb2Daj5X2YXUkYDLFv3YIzjNe+1+cf7d3xrv/jV/wVc+EP7KPxT+CvxSt/hX8MPEmk+Ll8Q+HvhlqepWPibxdIdmmwvewQtDaWNkJzPPK7cyYRtqxs1AH6OUUUUAFFFFAHgX7O3/AAUs/ZV/ag+P3iL9mb4Y674hi8XeHNMfU3sfEPhG+0xNS09Lk2rXtlJcxIt3biYbPNjypJGMjmvfa/NX9g7SvFPxA/4LSfET9pP4Y/BT406B4K1j4UTWHxAu/jXo9zD9i8RDVxLBYaM90WK2giM7tHbMbbOwr2r9KqACiiigCO6uraxtZL29uEihhjLyyyMAqKBksSegA5zXlP7GP7bX7Pf7ffwhn+On7M3ii51nwzBr95o41C50+S2824tmVZCiyAFk+YFXHBBrE/4KX/D/APaF+LH7DvxA+F37LmiQ6l4w8R6ZFptvp82uJphubKa5ijv4ku3Vlt5Gs2uVSQq21mU7SRivnr/g3y8FfHv4bfs/fFzwP8bf2V3+FEEPx/8AFF14e0NtUNyn2ea6y0UBMEXmW0JVY4rlQUuEAkUKOKAPvqiiigArxr9sT9un4K/sQ6b4Xvfi7pHi/U7nxlrUuleHNI8EeELvW768uY7aS5dVt7RHkIWGKRyQOApPavZa+Hf+C5Hgj4aeJ/gz4V8ReOfBP7QF/rHh681W88C6x+z5a3b6jpetvp0tvA072f7+KOQTOgYfuz8wkIU4IB9meAfGWnfETwNo3xA0jTtSs7TXNKt7+2tNY06Szu4Y5o1kVJ4JQJIZQGAaNwGVgQQCDWtXkn7BKftCR/sUfClP2sGuD8Sh4C0v/hNzeFTP/aX2ZPO83b8vm7s78cb91et0AFFFFAHiPxs/4KGfsxfAL9obwz+y3468R6xP4z8TwQXMenaF4avNRTS7We4+zQXV/LbxuljBJPmNZJSqlgecDNe3V+PP/BRH4BftkeC/+CxuqfGr9n/SvjCuufEAfDtPhxq/gcXP/CM+VYai8Wu22vtH+5WJLJ5ZUSf5T9oYpl+n7DUAFFFFABXzX8C/+Cqn7NHx+/aeb9kHw54W+JOh+NzpN7qdvZeNPhtqWjw3VnaSrFNPFLdRIske91AZcglhg819KV8efsm+AvHPxV/4Km/tE/tf/EHwZq+maX4Z03R/hd8M5dY06W3+1WNtH/aOqXUHmKPMhlvblEWVMq/2U4JxQB9h0UUUAf/Z", "info": {"equation": "26+38=64", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "26+38=64", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "b97898a5aa697fc6ef16d3e82d144eb321d94d8f128d69f0d800be52308bdd15"} +{"episode": 51103, "episode_seed": 2365697146, "split": "train", "timestamp": "2025-10-28T03:47:40.411788", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2365697146, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 6, 1, 8])", "action": "('move', [4, 6, 1, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "0*4=0", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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"info": {"equation": "0*4=0", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "8fb9585fc112244613fe8e98a0fd2ac5c8564e412e916e68de4d2af89d923c09"} +{"episode": 51104, "episode_seed": 3585472583, "split": "train", "timestamp": "2025-10-28T03:47:40.467743", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3585472583, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 5, 4, 4])", "action": "('move', [6, 5, 4, 4])", "reward": 0.0, "image": 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", "info": {"equation": "48/16=3", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "48/16=3", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "6778accfbe3e70fc091cd48024a302cda57b9ace62271c929186a5163133f191"} +{"episode": 51105, "episode_seed": 3867975404, "split": "train", "timestamp": "2025-10-28T03:47:40.580573", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3867975404, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 1, 4, 1])", "action": "('move', [2, 1, 4, 1])", "reward": 0.0, "image": 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", 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", "info": {"equation": "7+5*8=47", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", "info": {"equation": "7+5*8=47", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "ec42ad9f628b9f81e3e57b19b5906da516b57a8954944a3caec8332242a729bb"} +{"episode": 51106, "episode_seed": 3771831338, "split": "train", "timestamp": "2025-10-28T03:47:40.640086", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3771831338, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 0, 3, 8])", "action": "('move', [4, 0, 3, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "2+5*10=52", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "2+5*10=52", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "168b7b10472a8cec7fc30de34168e6f0d8b34475cc45181edfb26c4b1a8e199a"} +{"episode": 51107, "episode_seed": 3109071726, "split": "train", "timestamp": "2025-10-28T03:47:40.712994", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3109071726, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 0, 3, 1])", "action": "('move', [4, 0, 3, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "88+81=169", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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zo2k+HP2aPCfh7QNOhs7CwspLaytLdAscEMc8iJGoHRVUAAegr0yvv8si4ZdRi3e0Y6/JH5JnmMhmGc4jExjyqc5O3q3v59/M/I3/AIOqPEfxYtfB/wAJ/C2ny3qeCLy/1GfVRFH/AKPLqcaxC2EjD+IRPcFVPXLkZxxT/wCCeXxR8N+PP+Cf/hbwN+0P+1ldWlrPpdzpV14TvPHdpYwPpKSvDDbPECsixNAoQgsGZDyea/QD/gob8JPht8b/AIaeFfh58WfB9rruiXXjeKS4068LhHZNPvmQ5RlPDAHg0zw/4W8Nxf8ABNq88MQ6FappyfC7ULRLJIQsawC0mQRgDooT5cDtXx+Y5XXxmfV+SvKHuKWnVbcu600v8z9Nnx9gZ+GeXZBHCpVaFeU3VVr6uTTj15vfs9V8EbP+Xz//AIJx+HPC3gL9oH4t+BPgxollp3giLT9CvLuw0azijsLbX5EuUuVjMYwJGtItPeSMfdyjYG/n7Br50/4J3/CD4YfAzw74y+Hvwh8E2Xh/RYdft549PsFbZ5sllCXcliWZjgckngAdABX0XX0PDMHDI6CvfS/3tv8AA/P+K8dTzDPatandq0Y3l8UuWEY80rN2lK12ryte3NLd/HX/AAXm8SfFjwx/wTJ8eXfwllvYpLh7O18QTafHmRNKlnVLnJHKoykI5H8Dtngk1+ZX/BErxt8QtV8A/FfwNrHiW7m8M6L4OvLjRNPlnBisrmcD7S8Y6pvEUBP8OUz13Z/ezxR4Y8PeNfDWoeDvFuj2+o6Vq1lLZ6lYXcYeK5glQpJG6nqrKxBHoa+Tv2gfgV8If2cfCWnfCj4HeAbDw34esvAXiSW20vTkIRXkltXdyWJZmLHqST0HQAV4XFuV1aieOVS0YxSce/vL8Nb+qXy+74b47wOD8O8RwrLCp1a1ZVFV00SUW/PmXJyq2nLOWqtaXqn7IXjvUvHekjU7Lx0/iXRzpcSxax/aC3STSphMiVPkZjtbdjuORnNe11X0lEj0u3WNAo8hOAMdhVivqsrwU8vwaozqObu3d76u/d/mflWKrxxFZzUeVdkcz8ab7xvpfwc8Wan8M7Z5vElv4Zv5fD8McIkZ75bdzAoVuGJkCDB4PSv51/8Agkh8W/iF4c/boutT8SfGrVPCkfiDTdSPjfW5NZispp2w0wEs1wDhmuhGSPvEk9s1/SdXx1+w98DfhD8O/wBpnXPHXgn4eadpus+LNN8Q3XiTUYY2Mt/MNYtyGcsTjl2OFwMt0rwOJcFUxeOwkYVHBtyV100vdarXSx+n8CccYHhrhHOssrYVVZYqEVGTtpZte9foubmjbaaXe68F+OGjfBDV9EuPjr8NvHFn40+K9p4n0P8A4RLxV/bNtq+rjVkukSxsomBIWNwZg0CgKyNNIwJUuv6f18c/Hn4HfCHXv27tO+Nes/D7TrnxXoWseFbXR9clRjNaQveDcqDO0Z8x+cZ+Y4NfY1XwxhZ4SrioSm5tTtd9bLfrq76+h8rxFmtPHZdgqMXJuEZNuXTm5UqcdX7kFC8fh1lK0VuyiiivrD5I/ET/AIOnfEPxXk/aD+HHhLU5L1fA6eEJbvSEMeLaXVGuZEujuH35FhFoMH7quMY3nP6pf8E5tY+Juv8A7CXwn1f4xQ3KeI5/A9gdRF5AIpT+6AjZ1GMMYwhPAOTyAc1w/wDwUi+Cfwm+Ocngrw78X/Adh4hsbBdVvrS01BWKR3CRQBZMKRnAZhg5BzyDXvfwV/5I54S4H/Is2HQf9O8dfL5dQcOJMZLmb0hp6r9Laep+p8S8a4POPDfKMip4ZQnhpVHKemt39nr717zvvKKevTpq8r/aj+FH7H/xRsvC8X7XOieD7uCx8RxP4T/4S29igU6kwOyOEyOvmu4H+q+YPtGVOBj1Svw2/wCDozxR8XR+1Z4B8M6ndX8Xg218GfbPDihSsDai1zKt26sPvSKiWgPdQVxjdz6OeY+GXZdKtKHOrpWe2r6/1vY4fCvhTEcZ8Z0cuo4p4aTjOXtI35lyxekbNXb2eq93mfSx+4v2S1DbhbR5z12CpK/N79jv9pa+1z4J/D7xL8Tv219Qu/F2oeH7RtW0bUfHdkfNupY9vlvAAH3HcPlzu3Y719//AAnu9cvfAOn3PiFpGuWRvnmzvZNx2ls8524+tcuVcRYbN8S6NKnJWV7u3dK2jfc+UzfJa2T16lKpOMuSbheLunZtXXk7aHRUUUV9CeKePf8ABQTxB8VvCn7EfxS8SfA97xPFdl4KvpdGk06PfcRyCI5eIdd6puZccggEZOK/J3/g1m1v4np+078SND0xLp/CNz4LiuNekEAaJdQS7QWe5zyrmOS9wP4gGJ+7X7fX7FbGZlPIiYj8jXyP/wAEwPgl8Jfgnf6zafCfwDYaDHrfg7Q9Q1YWKtm6uma6BkcsSSfboMnAGTXzGaUJS4hwU+Zr49PRX/G9n5H6nwxxrg8n8OM4yKphlOeJdNxnppZr4uvu25oW2k29Ov17Xh//AAUr8R/Fjwl+wT8VvEnwPe9TxPZ+Drp9Ol02PdcRLgCaSMdQ6wmRgRyCuRyBXuFUfExYeG9QK9RYy4/74NfRV6bq0JQTtdNX7XW5+d5XjI5dmdDFygpqnOMnF7S5ZJ8r8naz8j+e3/ghh8Vdb8E/FPxt4a1H4+Xvgfwxe+H4rq8ktvEFtpy3V9HOqQAvMCWIjkuflX3J6Cv0C0TQ/hDoPx3+GnxX/Z/8TWuufEDxD8Wba21HxPp2pw6lqOt2UqgatFdzKxMlvFYoJCvCwGGAqEJG72f/AIJi/Av4PfBIa/ovwm+Hem6Fa6n4W8P3+oRWUbH7Rcv9tDSMXJJOABjOB2Aqj4Q+CHwi0r/gorcfHTTvh9p0XjDUPG15YXniBUbz5LZdBcCPk7VGEQZABO0ZNfl2CyyusJgsQ68uWVSKUekfeeq18u3U/Z+LfEDL+IONcwzSjRlShKlblVr1LQjG1WzS5X9r4tEo215l9i0UUV+rH4SfzT/s+fFz4/6X/wAFa/8AhNvif8RdW8MeLdQ8e31p441ee7isp7SFpHS6jZ5RshVY1KAdFCqF6LX6PftEaN+yv8Ufhv4v+I/jL4vWXjvxFofhKX+yNev/ABLbarqGiujGS1NkqHEMrXflbdq7pZNkZ3AhD9yeEPhH+x3pH7Unij4k+CvD/g5Pi5f6TEni2eyu4m1b7GVh2NPCHLRowSD5yq7sJknivDP+CiPwN+EHxK+Lml+L/Hvw907VdT8KeDnvPDt3dxsTYTm6J8xACFJyiEbgcFQRivzHMuHcTgcBUqvEtx5vhV7O8krvX4ur036n77xH4l4DifirAYynhZYVUaEIvkSUnypy5Y6xXs3pGLbdo+9yv4T6p+Et54x1H4VeGdQ+Its0PiCfw/ZSa7C0YQx3jQIZlKjhSJCwwOBXQUUV+mxXLFI/Bq1RVasppJXbdlsr9F5I/PL9sf4nz+GPH/7S1/8AEn4g3ejXmjeG7IeEPPeKNrbTDpQa1ns0fiUvqcl4m7B3SosfOAtaXwv+KfhLxpbeGYPFP7VkvivX2tIJf7Bv/G9ndj7e1viQpBFgl13SgAZwCeK+v/iT+zD+z/8AGD4j+Fvi98TvhPpGteJfBU5m8LaxewFptPkLK+5CDg4ZVZdwO1hkYPNdwtrao29LaMEdCEFfF4jhTF4jFV6n1pxjUbdkm7p9HqttlvofY47iPKquBw8KGH/eRjHnbUUk4wjBcjV21Llc5NpPmlaztzS5v4LeEj4H+FujeGWMu6C2LsJ8bw0jtIQcAYwXIx7V1FFFfYUKSoUY019lJfcrHxk5Oc3LufK/7bHijWdL/am+FmjeIdcnsfC0vh/XrmyWR1jtLnXE+yrGkjkjMi2cl8yJ3HmsAdhK/N/7PXx38DeKvhhqNp40/bQul0mTxRrlppui3njewtrebR1v547eMwgA+U0AAHILIQc85r9Bvjr+z58F/wBprwDJ8Lvj18O9P8T6BJdRXLabqSMUE0ZJSRSpDKwyRkEcMR0JB6TRvDXh7w7o9p4f0HRLWzsbC2jtrK0t4FSOCFFCpGqgYVVUAADoBXy2P4bxeMzKpiYYlwUklZXvorW3WnX5s+v/ALfyqOQUcKsPetF2bajy2TnJNPVuUudKSaVlBNOXNaHn37MHhcaVoGr+KA0n/E81COZd2NhWOCOIMnHIO3rz7V6fQAAMAUV9Fl+DWAwVPDp35Va/c+UxFZ4ivKpa1wrxr9qrwK/ja603Thpbsb7TrvTFvIFJkRbjYHQdQPuKwyP4T2Br2Wis80wCzPBSw7lyp219Gn+hWFxDwtdVEr2v+Qy2hFvbx26kkIgUE+wxT6KK9A5zl/jdf+OdK+C/i/VPhhbPN4ltvC+oS+HYYoRI0l8ttIYFCtwxMgQYPB6V+b1n8b/C3hu5+ANj4U/aZvtAi1fw1fv4g1NfEFrbXN1Z/YUaSW6lmyY5TqMcKsOCZfOUj5GC/qTXA/Cz9lv9nn4JeMvFPxC+FHwj0bQta8bX32zxTqNjbYk1GffI+98kgfPLI2FwCXJxmvnc7yXEZrXozp1nT5L7Xvr1Wq16b7H1eRZ3lmXZbiKOJo885XcNI2bcZQtNvVKPNzwsn7ys0r80fn34CR+Dfiz41tG8LfF2TxpPb67Y3uqasuvwajPGLaVZoo5Hi+VE/dkAEAnc2Dk8fYFNjhhhz5USrnrtXFOrqybKpZVSnGVV1HJ3bfol3f5ngYzFrFzi1HlSVrBRRRXsHGeUftR+G31y00eeLSTNIjXFvHcRozPGZlRdoxx820dR1UV6J4L0FPCvg7SfC8buy6bpkFqrSEFiI41TJxxnjtWnRXn0MAqGYVsVzXdRRVu3KrfidFTEOeHhSt8N/wAQrhPjj+zH8Af2lrfRbT48/CnSPFMfh3VF1HRU1WAuLW5AxvXBGQRjKnKtgZBwK7uiu2cIVIuM0muz1FhcVisFXVfD1HCa2lFuLXTRqzWmhH9ktQ24W0ec9dgqSiirMAooooAivVkezlSGNXcxMERjwxxwD7V5B+y14ATw5qer65HYTWiLp9ppUNqykJGlu0zBRkZyPN2nnsO9eyUV5+IwCxGPo4lyt7Pm078yt+B0U8Q6eHnSt8VtfR3CvHP+Cg2uePfDf7F3xE1v4a3mo22qweHnJu9Hh8y7trUugupoR/z0S2MzqRkgqCOQK9jpJI45Y2ilQMrAhlYZBB7GuuvTdahKmna6av2utzXLsVDAZhRxMoKapzjJxe0lFp2e+jtZ6M/NfWvjf4M8O/tQaT4R8I/tRv4V8OyfC0XN+ukeKrO1t5SLuL+zG82TcXLQS3jKoOCm1+hBP0L+ytYeFPH/AI60vxb4R+IB8UQ6TqNze3uuxatFfG4uWtZLciaaPKlgky/KMEBV7A59n+BH7L37Pn7Mfh6/8KfAL4S6P4W07U9SfUL+10u32rNcMqqXO4k/dVQFHyqBwBXdxxRxDbFGqj0UYr4/AcKYnDToyq4ltQkpcqT5bp30u/xt3PezrO8txFVwwNJqHLyqUklOXeUlG6vd2S5nZJK7sOooor7U+UP5q/2dvjR+0XoX/BWabxh8R/ifrXhTxVrHjm9sPiBqsl9HYzQ2xmYXUMjSfJEirGAFPC+WgXlVr9ePAE3gT41a1deFtA+PU3jnUtQtktbiZvFFvqNzZ2xfB2iIYjTLEksMZ719P+Hv2Xv2fPCnxv1v9pLw78JdHtPHXiOyW01vxNFb/wCk3cIEY2sc4GRDFkgAtsGScV3UdvBEd0UKKfVVAr4WnwhitYzxT5XK/Kk2nre71Sv8nr3P13xE8Scu4zzDDYnC4JUfZUIU3tur3tZfBG9ore29r2T6KKK+6PyIKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACvH/wBs39ur9nL9gj4faf8AEn9o7xRfWNjq2qGw0y10jRrjULu5lWGSeVkgt0aQpFBDLNI+NqJGzEivYK+B/wDgtx4c+JegeIvg3+0f4P8Agt4r8e6R4PXxro2uaH4L0STUr5Jtb8M3en2U32ePLGL7SUid+kaz7jwDQB90+FfFHh7xx4X03xr4R1iDUdJ1iwhvdL1C1fdFc28qCSOVD3VkZWB9DV+vIv8Agn/8JvGfwG/YW+DnwT+IsezX/Cfww0LSdbi3hvKu7ewhiljyOCFdWXPfbXrtABXM/Gb4veBvgF8Ktf8AjP8AEu/uLbQfDemyX2pzWljLcyiJBkiOKJWeRycBVUEkkAV01ch8fviBpXwr+Cfin4h63omtala6TolxPPYeHNGm1G+nAQjbBbQK0kznPCKCTQBF+zt8fPhz+1J8DvC/7Q/wivrq58M+L9Ii1LRJ72ze3leCT7peN/mQ8dDzXaV8i/8ABCnXtSvf+CWvwo8G+IPh94t8Max4P8Px6Drmk+MvC91pN0l3Aqs5SK5RGki/eDbKBtYhgDkHH11QAUkkiRRtLIwCqCWJ7ClpJHEcbSMCQoJIAyTQB4l+yV/wUK/Zj/bX8R+LfB3wM8Raw+reCpbb+29L8QeG7zS7j7PchzbXkUd1GjTW0wjkMcygq2047Z9ur4C/4JD/ABZ1D9p79qD49/tYfFf4QfEbwd458VXljpemaD4x+HuoaRaaR4V06W5h023iubmJI7u5maS4u5/LJCG4RBwmT9+0AFFFFAHiN1/wUK/Zo0/9sey/YW1LWddtfHepxTHS2uvC95Hpd9PDareS2kN+0Yt5bhLdllaJXLKp5weK9ur89vjPp3in4m/8F0fg74p+F3wf+Lkd74Bt9asviHrXiXSrj/hDI9Cm0hzBd6bLIWtxeyXcsMJeDbMVjkSQbVFfoTQAUUUUAeWftYftl/AL9irwn4d8ZftAeKpdMtPFfjGw8L6CltZvcS3epXjlYYlRATj5WZm6KqkmvU6/L7/g4P8Agl+2x8SfE3gL4gfAv9l5fib4U8Jy6M1nDaeJha3Wla5J4n0uV7j7KsEslwrW1oluZhtW2iubmVtyqy1+nenTXtxp8E+o2a29w8KtPbrLvETkAsobA3YORnAzigCaiiigDzT9rD9q74V/safCgfGL4vW2vXGmya1ZaTa2XhjQJ9Uv7u8u5hDBDDbW6tJK7uwUBQTzXU/CT4l6P8ZPhponxT8P6Jrem2Wu6el3bWHiTRptOv4EYcJPbTqskDjujgEV4V/wVh8IfCHxl+yh9k+OPg74u6x4fsfFemajIfgfa3EviGxuLeUy291CLb9+qpMseXh+dSVPChiNT/glMv7Saf8ABO/4Tr+142sn4hf8Iwv9vHxI2dS2+dJ9m+1nr9p+zeR5uefM355zQB9B0UUUAVtZ1jSvD2kXfiDXdQhtLGxtpLi8u7iQLHDEilndmPAUKCSewFeXfsg/tsfAf9uTwJffEn9n+/1u50iyvxbrc634au9N+1o0ayRXVuLmNDPbSowaOZMo4zg8EVd/bW+Gvi/4z/sb/Fn4P/D4j+3vFXw013SNEy+0G7udPnhhGT0+d15r4/8A+Dejw1+0P4R+C3jfw98TdN+LNj4Lsbjw9aeCtO+MqzrqlrfRaHax63HAtx+8SwXUFdYFH7oKreX8mKAP0NooooAK+fPhH/wUu/Z5+Mn7WWqfsWaJ4a+IOkeONMsdRvvK8U/D7UNMs721srlLae4trm4jWO4i8yRAskZKuGBBORX0HXyh+zn4H8Z/Eb/gqh8fP2m/GnhPVLDSfCfhfw/8N/h/dalp8sCXsCo+rapc25kUCWJrm7t4fMTKlrMjOVNAH1fRRRQAV4F8av8Agph+yR+z9+1D4Z/ZB+JfjPU7bxj4ofT0tVtfD91cWNk9/PJb2CXd3GhitWuZopI4hIwLspAr32vyg/4KR/Bv44+Kv+CzXw/8b+HfgT461eaPUPh23gHWdA0KSbwzLa2mtX82vvrsqjyvNtrWWOW0M53Ru+6H5iaAP1fooooA/9k=", "info": {"equation": "88+81=169", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "b62aab817ad6b35a89da7c00a49d1a2e7ca47550ced0524dfbd57993508d6be1"} +{"episode": 51108, "episode_seed": 2992659846, "split": "train", "timestamp": "2025-10-28T03:47:40.785124", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2992659846, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 5, 4, 4])", "action": "('move', [0, 5, 4, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "33+76=109", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "33+76=109", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "c979949a19d5cb533d41e6c75665c8a7a96b8630b16244706ba7343854654b71"} +{"episode": 51109, "episode_seed": 3191154186, "split": "train", "timestamp": "2025-10-28T03:47:40.851255", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3191154186, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 0, 1, 1])", "action": "('move', [6, 0, 1, 1])", "reward": 0.0, "image": 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ygGv6hq+IPFvwD+DM37et/wDH+f4b6a/jRfijpNkniKRGa4WD7BYpsGTtHykrkLnBIzgmuHi3DTr08Nyzcf3ijp/e6+qtp6n3HhNx5gOCHmaxOEVf29BxV7aNX92V/wDl3Pm9+137sdGcx4iP7Nnx21jTPDXxI/aDsviXHaXzXGj+GvE3jSz1K2NyI3UTC1XCzSLG0mCyttDMQAeR7b/wSlvr6f8AZ01vR9Lvrm68GaP8QtX074Z3M+GjbQYmjWJLeQE+dbRz/aoYXJOYokAJUAnS/wCCinwc+F3xp+HXg74f/FXwRZa3ot146SSfT7oMEdk0zUGQ5QqwwwB4Ndf+xB4f0Pwn+zNoHhbwxpMFhpum3mqWthY2sYSO3hj1K6RI1A6AKAB9K5soy+tgeJJwqVnUap3u+t2lZ6vY+WxOc0avCP1Vc15VFaLtyQUU3zR1vzybafuxSV9ZOXu+sV4d/wAFKvE3xi8G/sG/FPxP8Anvk8WWXhOeTTJdMi33MK5UTSRDrvWEysCPmBUEcgV7jQQGBVgCCOQa+zr03Woypp2umrrdXW/yPl8rxkcuzOhi5U1UVOcZOMtpcsk+V+TtZ+TP5tf+CLvxd8a+Af2pLrw7b/HPUvBfhfWtFuJfFF1ba9DYxztCjG2LyTZUsJZMDHzEO3YtX7K/AX4vt4l12HQfh3+0NceOLiK+jmmifxPBqLwq2Fw/kY2xkKfvD+8Qa9x+Bf7Jn7Nv7M39t/8AChPg3onhb/hI74Xet/2XbbftUo3bSck4Vd77UGFXccAZNegxwQRHMUKKT12qBXxeE4Sx1GnGLxckk78sb23vpqvy3P0vxM8RMt444onmeFwfs4uEY+9bmdl8UrJq+vKtX7sY+ifRRRX3J+TH5pf8HPXin4y6J+x14V0PwPLfxeE9X8W+T42ks4/3bhI/MtIpmHIjMqswB+UvGmeQoPzH/wAERvjt4j0/4DeJPBfxD/av1bwhoOi61EnhTSv+EvtbCNfNWSW68tJgWK72jY4+UM7Y5LV+znx38IfBfx58Idf8KftEWGi3Pgq7sT/wkUfiGdIrIQKwffK7sojCsqsHyNpUEEEA1B8A/AnwH8C/CDQvC37OekaBB4KtrQnw+nh2VJrNomdnLxyKWEgZ2Zi245JJJJr5LMuH8Tjs2eIp4l07xS0vdW7arR7+p+w4XxEwOH8Jf9WJYDmn7bn9rZcu/Ne9r+1t7n/Xvr0PgWw8E/A7wf8AG/4P/Ev9mufTNS8fax8XYUk8R6RdQ6jqGu2Vy7jXnu5wWaaNbUyyO54hdYguzcFb9Lq+Ivgn8Avgv4V/blh+N/h34b6baeLtb+Jfie31TX40YzzxCPVRs5JCj91HnaBnYM5r7dp8I0JUMJWTk3+8ktfKyv8APqfHcW5rTzH6rCMpTcKesp/E3Jt8q1l7kPs3d23KVo35UV+Cv/Bzf4n+Ml/+23onhLxhLfr4OsPCME3g6CSPbatJKx+2SIRw8hkRFYn5gEjHAxn96q+Vf+CjHwG+Dnx68ceAtJ+Mvw70/wAR2ul6Nrt5p9vqKsUhnEumLvAVhngkYOQe4rfi2k6mR1GnblafrqlZ/ff5Hu+EXF+E4J41pZliaHtY8s42VuaPMvijfS+lnqvdlI+T/wBj34w6F8SP2IvB2h/tF/tl30VxqfhdrPXfDt38QrOzjay3SRR27xpteNGthGpG4MQxyQSa96/YT0Dwf8N/239b+Hf7O2l2eneDLj4Xxah410fw9bxDTLXVRdQR6XMdnEVzNZ/a8gYMkcETtnhj7vc6bp1x/wAE+ZLeawhZH+DZVkMYwQdJxiuA/wCCcfwL+D/wA8T+NvCXwX+H2n+HNOutG0O7ubXT1bEs7SakpkZnLMx2qo5PAHFeHh8qxGBz7Ce0rynzKT1voktt3o7mNbifDYrBZnVVN01Wk7Uo29kued7vVa09ORKO6T5ly2f1RRRRX6CfnB4/qnwb/YkvP2vbL4p6v4e8EN8ak0fNjPNfQjWTZiN4vNW3L7mUR+Ynm7CQoK7sDA9cW1tUYMltGCOhCCv5i/2kfjH+1ToP/BULxT8TvEHi/WtG+JOnfEWeC1v3kW3nskWUwQRpu+RIhblEUH5DGecqST+zngn46eEz4mjsNB/bOuvEN3eBre30m48e2d15zN/cjjAcvxxtOetfCw4ywdCVWMqDT5ntbXzltZ99z9o8RfDTMOFqGWTq49YhVqKau2+S1nyw1f7v3vcel/e0R9uUVi/Dy51u88E6bdeIg/2x7cGYyDDHk4LA9CRgn3rar7WhVVehGolbmSdnurq+p+NVIezm49nYKKKK1IP51f8Ag4J8WfGrVP8Agpp4k0v4h3Gopp2j2Gnx+BIZoykaae0COXgA4YNcm4y/JLKVP3QB+9X7KGr/ABQ8Qfsw/DzXfjbbXEPjG88FaZN4piu7cQyrqDWsZnDoOEbzC2VHQ5FfM/8AwUm+Avwa+LvxXn8V/E74c6drmoeFvhpJdeH7m/RmNlN51029VDBWO6NDhgR8o4619p2JLWULMckxLkn6V8lkmHdLPcdeTesf/Jrv8Nl5H69x3x3geJuCckyujhFSnhYOMpaatKMfdtraVued/td7XctfnV/wcw+J/jFoH7CGmad8PJr+Lw/qvjC3tvG8tlHlTaeW7wpMw5WNrhYvYsEU9QD+iteRft1+EvDfjz9l3xD4K8Y6PFqGlareaVa6jYz52TwvqdqrocEHBBI4INe3nNJ1sqrwTt7r/BX/AB2PiuCM8o8N8XYLM61JVY0qkZOL6q/S+nMt4/3kj8gv+CHXxz8T6R8KPGHgXx3+1Rqng7wzpOqWz+GNNXxba2EXnTCZrsoswLEZELED5QWJHLNX6Y/sw6H4R+IHi/Q/Efgzxv8A8JFaaPrFzqN1rdtqkV79pumgnifzpkypc/aCSBg8DtXT/wDBPT4U/Df4Q/DbxX8Pfhl4LsNF0TT/ABq32PTrOLCR79N092OWJJJZmJJJOTX0BHHHEu2KNVHooxXyeTcPVq9DDYqeJk4rlmoW0VtUl72n3bHu+IHF+F4k4rx2Pw+GVKNaTstL2so3lZfFK3NLV+83q9x1FFFffH5yFYXxQ0dfEPw413QJNMS9S+0me3ltHBxMjxlWXjk5UkcVu0VnWp+1pShe101f1KhLkmpdjyb9mDwbJpUuveNphOrat9ltgsi4Urb+cdy8Z6zMCeny9sGvWaKK5ctwSy7AwwylflW+19bmuJrvE15VGrXCvye8cfG3xP4d/Y01Pxr4m+Lt/o3xWl+JZj1W4ubq3h1C18Q/20qPaeXJlYo47dVVRjC2qJIDt+c/rDXnafsmfs3R/tAyftUp8G9EHxDlsvssniv7N/pTReUIuudu7ywI9+N2z5c44rzs+yetm8aSp1OTklf/AIK8109XqfTcL53lWURqrG0faJuE42UXeVPm/dyvtTqc3vtXfur3X0+W9C+JPwx8V+K7HT4/2r38ZXcdy76RpGoeOLS9/fGN08yOKPDNII3kXvhXbjuPrn4EeDm8B/CvTPDr+cG33N06zgB1a4uJLgqQAMYMpAHUAc811a2tqjBktowR0IQVJUZTkVTLcXLEVa7qSkuXVdL33bZ4eLx8cTRVOMFFJ30/4ZBRRRX0R5wUUUUAFFFFAH5pf8HPXin4y6J+x14V0PwPLfxeE9X8W+T42ks4/wB24SPzLSKZhyIzKrMAflLxpnkKD8x/8ERvjt4j0/4DeJPBfxD/AGr9W8IaDoutRJ4U0r/hL7WwjXzVkluvLSYFiu9o2OPlDO2OS1ftT8U/hX8O/jd8P9U+FXxZ8IWeveHdatxDqmk38e6K4QMGAOMEEMqsCCCCoIIIBqL4VfBz4XfA/wCH+m/Cv4S+BtP0Hw9o8TR6bpVjDiKBWdnbGckkszMSSSSxJJJr5TMuHcXjs0eKp4h004paXurdFqtHvvv0P17C+JOWYfwp/wBVJYJSq+29p7TS1r83Ntf2n/Lva3s+vQ8C/ZY0Hwr438YaD4t8GeLv7esNFv72/k1q11KO8W6upYbiKVpZkyrOzXMjEDB3DoACK+oqRI44l2xoFHooxS16uT5X/ZOFdFzc25OTbVtXbzfbuflmMxX1uqp8trK1gr4p+Onju5039vDxvZfF/wAXNpukaT8PNMn8GQancJb2Q052mfVLqNmIDuJooFmY8okcOdqkFvtavPfj9+yj+zl+1NaaPY/tC/CDRvFkWgXpu9HTVoC/2aVgAxXBGVYKu5DlW2rkHAqc9y2rmuXvD058run5O3R/1vY9XhzMcvy7GT+uxbpzi4txSc4+9GSlFSaV/d5XqvdlLXo/gH9lr46+F/F/7M/h+L4p/ts6kBd2Vzby6PqnjmwtBJpouJo7aKa3CgxhrQQhk4bDHODmvuD9lbwtDBPrfxBtndodXs7G1tmUgxPFAbh1dCB8wP2kjOSDgY6HPra2FiihEs4gFGABGMAVKAAMAYA7CvOy/hytg8dDE1cTKpyJpJrurdZP+rE5rnNDMKtZ0aCpRqScrLaKbukrJbbLyCiiivqTwTzu/wD2TP2btT/aAt/2qNQ+DmizfEK1s/stv4qe3JuUi8tovXaW8tmTeRu2nbnAAr0BbW1RgyW0YI6EIKkoqIU6dO/Kkru7t1fd+Z04jGYvFqCr1JT5IqMeZt8sVtFX2iruyWiCiiirOYKKKKAPDP2pPh3/AMJv4nTTF0mQNrmhNpLX1spMhR2kymTlRt8xmHHck5Ar3GCIQwJCDkIgXn2FOorzcHl0cJjK+I5ruq07drK3zOmtiXWo06drct/ncK+Yv+ClHiXX9AHwmtb3W7rTfBl78SIk8YXcRCQFktJ5dPiuZCR5cL3yW45IDOI1J+YA/TtYfxK+GvgP4xeA9V+GHxP8K2mt+H9bs2tdV0q/j3RXETdVI6g5AIIwQQCCCAa1zLCzx2BqUIy5XJWv/XTv5HZkmOw+XZpTr14c0FdNaN2lFxvG+nNG/NG+nMkfnZ4Z+PmjWv7UnxT8Jt+11e+GNA01NF8uwtPFllYQJq7W8qXqKXBaRlihsg4JOxyy8EED6u/ZV+I9/wCOdVtG8NfFCTxfpEFvJBd6r/a0d6rFASN8sXyGQMwHY4PPSvVvg/8AA74R/AD4e2Hwo+DXgDTvD3h3TPM+w6VYQ4jiLu0jn5slizszEkkkmupjjjiXbFGqj0UYr5vAcMYzC1KU54uTUGnyq9tOi97bptt0PSznOsvxmJqfVaHLBpRTdlJ8sVHmkldKUrczSk7SfxPduooor7E+YCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArkPj58d/hX+zF8G/EPx9+NviqLRPCvhbTmvdZ1KVGfyowQAFVQWd2YqiooJZmUAEmuvr5N/4Le/BX4n/Hn/gmz448HfB7wleeIdc0/U9C16Lw7p0e+41SDTdYs76e2iT+ORobeTanVmCqOTQB7J+yX+158D/21/hQfjD8BtdvbrTYNWudL1Oy1bSprC+0y/t2CzWt1bTqskEq5UlGAOHU9CK9Or4u/wCCNvhbx/qEH7QX7S/iv4a+JPB+j/GP496j4m8G6B4u0iTT9RGmCxsrRLme1kw9u8sltI2xwG2hSeor7RoAKKKKAPG/2yv28f2c/wBg3wvoHi39onX9TsrXxLrsWk6SulaHcXzvcSMqguIUYRRgugLuQuXUckgV7JXwx/wcI+LNStf+Cf8Ac/DXw18LPHXivWvE/i/QW02x8EeC73WHjWy1eyvZ3mFrG5hXyYJCrNgMwCjk19lfDH4gaV8V/hzofxN0LStWsLLxBpUGoWllr2lS2N7BHLGHVJ7eYLJBKAcNG4DKQQQCKAN2iiigArwL4lf8FL/2TfhF+1ZoX7HPxC8U61p3izxFqNtpum3s3ha9/shtRuYTNb2Daj5X2YXUkYDLFv3YIzjNe+1+cf7d3xrv/jV/wVc+EP7KPxT+CvxSt/hX8MPEmk+Ll8Q+HvhlqepWPibxdIdmmwvewQtDaWNkJzPPK7cyYRtqxs1AH6OUUUUAFFFFAHgX7O3/AAUs/ZV/ag+P3iL9mb4Y674hi8XeHNMfU3sfEPhG+0xNS09Lk2rXtlJcxIt3biYbPNjypJGMjmvfa/NX9g7SvFPxA/4LSfET9pP4Y/BT406B4K1j4UTWHxAu/jXo9zD9i8RDVxLBYaM90WK2giM7tHbMbbOwr2r9KqACiiigCO6uraxtZL29uEihhjLyyyMAqKBksSegA5zXlP7GP7bX7Pf7ffwhn+On7M3ii51nwzBr95o41C50+S2824tmVZCiyAFk+YFXHBBrE/4KX/D/APaF+LH7DvxA+F37LmiQ6l4w8R6ZFptvp82uJphubKa5ijv4ku3Vlt5Gs2uVSQq21mU7SRivnr/g3y8FfHv4bfs/fFzwP8bf2V3+FEEPx/8AFF14e0NtUNyn2ea6y0UBMEXmW0JVY4rlQUuEAkUKOKAPvqiiigArxr9sT9un4K/sQ6b4Xvfi7pHi/U7nxlrUuleHNI8EeELvW768uY7aS5dVt7RHkIWGKRyQOApPavZa+Hf+C5Hgj4aeJ/gz4V8ReOfBP7QF/rHh681W88C6x+z5a3b6jpetvp0tvA072f7+KOQTOgYfuz8wkIU4IB9meAfGWnfETwNo3xA0jTtSs7TXNKt7+2tNY06Szu4Y5o1kVJ4JQJIZQGAaNwGVgQQCDWtXkn7BKftCR/sUfClP2sGuD8Sh4C0v/hNzeFTP/aX2ZPO83b8vm7s78cb91et0AFFFFAHiPxs/4KGfsxfAL9obwz+y3468R6xP4z8TwQXMenaF4avNRTS7We4+zQXV/LbxuljBJPmNZJSqlgecDNe3V+PP/BRH4BftkeC/+CxuqfGr9n/SvjCuufEAfDtPhxq/gcXP/CM+VYai8Wu22vtH+5WJLJ5ZUSf5T9oYpl+n7DUAFFFFABXzX8C/+Cqn7NHx+/aeb9kHw54W+JOh+NzpN7qdvZeNPhtqWjw3VnaSrFNPFLdRIske91AZcglhg819KV8efsm+AvHPxV/4Km/tE/tf/EHwZq+maX4Z03R/hd8M5dY06W3+1WNtH/aOqXUHmKPMhlvblEWVMq/2U4JxQB9h0UUUAf/Z", 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", 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", "info": {"equation": "48-36=12", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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JNE237N2uaB4caR/BGkfEbWrL4aTGNfKfRElQqIHXPnW6XLXccUhJ3Rxrywwx1/8Agop8HPhd8afh14O+H/xV8EWWt6LdeOkkn0+6DBHZNM1BkOUKsMMAeDXX/sQeH9D8J/szaB4W8MaTBYabpt5qlrYWNrGEjt4Y9SukSNQOgCgAfSubKMvrYHiScKlZ1Gqd7vrdpWer2PlsTnNGpwi8Kua8qitF25IKKb5o6355NtP3YpK+snL3fWK8O/4KVeJvjF4N/YN+Kfif4BPfJ4ssvCc8mmS6ZFvuYVyomkiHXesJlYEfMCoI5Ar3GggMCrAEEcg19nXputRlTTtdNXW6ut/kfL5XjI5dmdDFypqoqc4ycZbS5ZJ8r8naz8mfza/8EXfi7418A/tSXXh23+OepeC/C+taLcS+KLq216GxjnaFGNsXkmypYSyYGPmIduxav2V+AvxfbxLrsOg/Dv8AaGuPHFxFfRzTRP4ng1F4VbC4fyMbYyFP3h/eINe4/Av9kz9m39mb+2/+FCfBvRPC3/CR3wu9b/su22/apRu2k5Jwq732oMKu44Aya9BjggiOYoUUnrtUCvi8JwljqNOMXi5JJ35Y3tvfTVflufpfiZ4iZbxxxRPM8Lg/ZxcIx963M7L4pWTV9eVav3Yx9E+iiivuT8mPzS/4OevFPxl0T9jrwrofgeW/i8J6v4t8nxtJZx/u3CR+ZaRTMORGZVZgD8peNM8hQfmP/giN8dvEen/AbxJ4L+If7V+reENB0XWok8KaV/wl9rYRr5qyS3XlpMCxXe0bHHyhnbHJav2c+O/hD4L+PPhDr/hT9oiw0W58FXdif+Eij8QzpFZCBWD75XdlEYVlVg+RtKggggGoPgH4E+A/gX4QaF4W/Zz0jQIPBVtaE+H08OypNZtEzs5eORSwkDOzMW3HJJJJNfJZlw/icdmzxFPEuneKWl7q3bVaPf1P2HC+ImBw/hL/AKsSwHNP23P7Wy5d+a97X9rb3P8Ar316HwLYeCfgd4P+N/wf+Jf7Nc+mal4+1j4uwpJ4j0i6h1HUNdsrl3GvPdzgs00a2plkdzxC6xBdm4K36XV8RfBP4BfBfwr+3LD8b/Dvw30208Xa38S/E9vqmvxoxnniEeqjZySFH7qPO0DOwZzX27T4RoSoYSsnJv8AeSWvlZX+fU+O4tzWnmP1WEZSm4U9ZT+JuTb5VrL3IfZu7tuUrRvyor8Ff+Dm/wAT/GS//bb0Twl4wlv18HWHhGCbwdBJHttWklY/bJEI4eQyIisT8wCRjgYz+9VfKv8AwUY+A3wc+PXjjwFpPxl+Hen+I7XS9G1280+31FWKQziXTF3gKwzwSMHIPcVvxbSdTI6jTtytP11Ss/vv8j3fCLi/CcE8a0syxND2seWcbK3NHmXxRvpfSz1XuykfJ/7Hvxh0L4kfsReDtD/aL/bLvorjU/C7Weu+Hbv4hWdnG1lukijt3jTa8aNbCNSNwYhjkgk171+wnoHg/wCG/wC2/rfw7/Z20uz07wZcfC+LUPGuj+HreIaZa6qLqCPS5js4iuZrP7XkDBkjgids8Mfd7nTdOuP+CfMlvNYQsj/BsqyGMYIOk4xXAf8ABOP4F/B/4AeJ/G3hL4L/AA+0/wAOaddaNod3c2unq2JZ2k1JTIzOWZjtVRyeAOK8PD5ViMDn2E9pXlPmUnrfRJbbvR3Ma3E+GxWCzOqqbpqtJ2pRt7Jc873eq1p6ciUd0nzLls/qiiiiv0E/ODx/VPg3+xJefte2XxT1fw94Ib41Jo+bGea+hGsmzEbxeatuX3Moj8xPN2EhQV3YGB64traowZLaMEdCEFfzF/tI/GP9qnQf+CoXin4neIPF+taN8SdO+Is8FrfvItvPZIspggjTd8iRC3KIoPyGM85Ukn9nPBPx08JnxNHYaD+2ddeIbu8DW9vpNx49s7rzmb+5HGA5fjjac9a+Fhxlg6EqsZUGnzPa2vnLaz77n7R4i+GmYcLUMsnVx6xCrUU1dt8lrPlhq/3fve49L+9oj7corF+Hlzrd54J0268RB/tj24MxkGGPJwWB6EjBPvW1X2tCqq9CNRK3Mk7PdXV9T8aqQ9nNx7OwUUUVqQfzq/8ABwT4s+NWqf8ABTTxJpfxDuNRTTtHsNPj8CQzRlI009oEcvABwwa5Nxl+SWUqfugD96v2UNX+KHiD9mH4ea78bba4h8Y3ngrTJvFMV3biGVdQa1jM4dBwjeYWyo6HIr5n/wCCk3wF+DXxd+K8/iv4nfDnTtc1Dwt8NJLrw/c36MxspvOum3qoYKx3RocMCPlHHWvtOxJayhZjkmJck/Svkskw7pZ7jryb1j/5Nd/hsvI/XuO+O8DxNwTkmV0cIqU8LBxlLTVpRj7ttbStzzv9rva7lr86v+DmHxP8YtA/YQ0zTvh5NfxeH9V8YW9t43lso8qbTy3eFJmHKxtcLF7FginqAf0VryL9uvwl4b8efsu+IfBXjHR4tQ0rVbzSrXUbGfOyeF9TtVdDgg4IJHBBr285pOtlVeCdvdf4K/47HxXBGeUeG+LsFmdakqsaVSMnF9VfpfTmW8f7yR+QX/BDr45+J9I+FHjDwL47/ao1Twd4Z0nVLZ/DGmr4ttbCLzphM12UWYFiMiFiB8oLEjlmr9Mf2YdD8I/EDxfofiPwZ43/AOEitNH1i51G61u21SK9+03TQTxP50yZUuftBJAweB2rp/8Agnp8Kfhv8Ifht4r+Hvwy8F2Gi6Jp/jVvsenWcWEj36bp7scsSSSzMSSScmvoCOOOJdsUaqPRRivk8m4erV6GGxU8TJxXLNQtorapL3tPu2Pd8QOL8LxJxXjsfh8MqUa0nZaXtZRvKy+KVuaWr95vV7jqKKK++PzkKwviho6+IfhxrugSaYl6l9pM9vLaODiZHjKsvHJypI4rdorOtT9rSlC9rpq/qVCXJNS7Hk37MHg2TSpde8bTCdW1b7LbBZFwpW3847l4z1mYE9Pl7YNes0UVy5bgll2BhhlK/Kt9r63NcTXeJryqNWuFfk944+Nvifw7+xpqfjXxN8Xb/RvitL8SzHqtxc3VvDqFr4h/tpUe08uTKxRx26qqjGFtUSQHb85/WGvO0/ZM/Zuj/aBk/apT4N6IPiHLZfZZPFf2b/Smi8oRdc7d3lgR78btny5xxXnZ9k9bN40lTqcnJK//AAV5rp6vU+m4XzvKsojVWNo+0TcJxsou8qfN+7lfanU5vfau/dXuvp8t6F8Sfhj4r8V2Onx/tXv4yu47l30jSNQ8cWl7++Mbp5kcUeGaQRvIvfCu3HcfXPwI8HN4D+FemeHX84Nvubp1nADq1xcSXBUgAYwZSAOoA55rq1tbVGDJbRgjoQgqSoynIqmW4uWIq13UlJcuq6Xvu2zw8Xj44miqcYKKTvp/wyCiiivojzgooooAKKKKAPzS/wCDnrxT8ZdE/Y68K6H4Hlv4vCer+LfJ8bSWcf7twkfmWkUzDkRmVWYA/KXjTPIUH5j/AOCI3x28R6f8BvEngv4h/tX6t4Q0HRdaiTwppX/CX2thGvmrJLdeWkwLFd7RscfKGdsclq/an4p/Cv4d/G74f6p8Kviz4Qs9e8O61biHVNJv490VwgYMAcYIIZVYEEEFQQQQDUXwq+Dnwu+B/wAP9N+Ffwl8DafoPh7R4mj03SrGHEUCs7O2M5JJZmYkkkliSSTXymZcO4vHZo8VTxDppxS0vdW6LVaPfffofr2F8Scsw/hT/qpLBKVX23tPaaWtfm5tr+0/5d7W9n16HgX7LGg+FfG/jDQfFvgzxd/b1hot/e38mtWupR3i3V1LDcRStLMmVZ2a5kYgYO4dAARX1FSJHHEu2NAo9FGKWvVyfK/7Jwroubm3Jybatq7eb7dz8sxmK+t1VPltZWsFfFPx08d3Om/t4eN7L4v+Lm03SNJ+HmmT+DINTuEt7Iac7TPql1GzEB3E0UCzMeUSOHO1SC32tXnvx+/ZR/Zy/amtNHsf2hfhBo3iyLQL03ejpq0Bf7NKwAYrgjKsFXchyrbVyDgVOe5bVzXL3h6c+V3T8nbo/wCt7Hq8OZjl+XYyf12LdOcXFuKTnH3oyUoqTSv7vK9V7spa9H8A/stfHXwv4v8A2Z/D8XxT/bZ1IC7srm3l0fVPHNhaCTTRcTR20U1uFBjDWghDJw2GOcHNfcH7K3haGCfW/iDbO7Q6vZ2NrbMpBieKA3Dq6ED5gftJGckHAx0OfW1sLFFCJZxAKMACMYAqUAAYAwB2Fedl/DlbB46GJq4mVTkTSTXdW6yf9WJzXOaGYVazo0FSjUk5WW0U3dJWS22XkFFFFfUngnnd/wDsmfs3an+0Bb/tUah8HNFm+IVrZ/ZbfxU9uTcpF5bReu0t5bMm8jdtO3OABXoC2tqjBktowR0IQVJRUQp06d+VJXd3bq+78zpxGMxeLUFXqSnyRUY8zb5YraKvtFXdktEFFFFWcwUUUUAeGftSfDv/AITfxOmmLpMgbXNCbSWvrZSZCjtJlMnKjb5jMOO5JyBXuMEQhgSEHIRAvPsKdRXm4PLo4TGV8RzXdVp27WVvmdNbEutRp07W5b/O4V8xf8FKPEuv6APhNa3ut3Wm+DL34kRJ4wu4iEgLJaTy6fFcyEjy4XvktxyQGcRqT8wB+naw/iV8NfAfxi8B6r8MPif4VtNb8P63Zta6rpV/HuiuIm6qR1ByAQRgggEEEA1rmWFnjsDUoRlyuStf+unfyOzJMdh8uzSnXrw5oK6a0btKLjeN9OaN+aN9OZI/Ozwz8fNGtf2pPin4Tb9rq98MaBpqaL5dhaeLLKwgTV2t5UvUUuC0jLFDZBwSdjll4IIH1d+yr8R7/wAc6raN4a+KEni/SILeSC71X+1o71WKAkb5YvkMgZgOxweelerfB/4HfCP4AfD2w+FHwa8Aad4e8O6Z5n2HSrCHEcRd2kc/NksWdmYkkkk11McccS7Yo1UeijFfN4DhjGYWpSnPFyag0+VXtp0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"info": {"equation": "48-36=12", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "3f794765a9fce209cd4d58e627815a7a9dd82e84e5621a90c5527bd499f56eaa"} +{"episode": 51110, "episode_seed": 3056951896, "split": "train", "timestamp": "2025-10-28T03:47:40.924143", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3056951896, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 0, 4, 8])", "action": "('move', [0, 0, 4, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "10+2*1=12", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", "info": {"equation": "10+2*1=12", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "c86623452ada9bc40f0128041dbc57586f28fd03f70fd12f8476efedf4e1fad7"} +{"episode": 51111, "episode_seed": 1977685430, "split": "train", "timestamp": "2025-10-28T03:47:40.989197", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1977685430, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 0, 1, 6])", "action": "('move', [3, 0, 1, 6])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "18+14=32", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "18+14=32", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "f4257df25863e6b9f6a411beebe664d9432fef19df55b584b663ac0267185833"} +{"episode": 51112, "episode_seed": 409696311, "split": "train", "timestamp": "2025-10-28T03:47:41.036543", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 409696311, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 6, 1, 8])", "action": "('move', [4, 6, 1, 8])", "reward": 0.0, "image": 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", 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"info": {"equation": "2*0=0", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "2*0=0", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "1c4dcbc67a70da75c0d749fd3de8fa790cdd6ef4191b18376b4a5100d3625fa3"} +{"episode": 51113, "episode_seed": 820418915, "split": "train", "timestamp": "2025-10-28T03:47:41.103017", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 820418915, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [7, 1, 4, 0])", "action": "('move', [7, 1, 4, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "112/7=16", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", "info": {"equation": "112/7=16", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "f9f256ecb3d18bdc751e2de4803745740390eb89ad306a4df34093b0883ea5ea"} +{"episode": 51114, "episode_seed": 4247908882, "split": "train", "timestamp": "2025-10-28T03:47:41.171891", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4247908882, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [7, 6, 2, 7])", "action": "('move', [7, 6, 2, 7])", "reward": 0.0, "image": 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", 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", "info": {"equation": "10+50=60", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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L4o+MlvJ8LPB0Et/H8P7mO8urhYo8W02roQqCRh1dYGYop7PIRnnH1L/wbxa18VdZ/wCCZ/h5PibBcra2Wv6hbeEXubcRmTSVdChUjl0E7XKhj2XHQCvXv+CjHwk+G3xu+HHg74efFnwfa67ol147SSfTrwuEd00zUWQ5RlIIYA8Gus/Yh8P6J4U/Zm0Dwv4Z0qCw07TbzVLWwsrWMLHBDHqV0qRqB0AUAD6UYbDuHF9afM9aadvmlb00ufVZpx5gcd4Q4PhqOEUalKs5OppZr3ndded83LK+ll1vaPrFeHf8FKvE3xi8G/sG/FPxP8Anvk8WWXhOeTTJdMi33MK5UTSRDrvWEysCPmBUEcgV7jQQGBVgCCOQa+or03Woypp2umrrdXW/yPy/K8ZHLszoYuVNVFTnGTjLaXLJPlfk7Wfkz+aX/gjf4++Jmkftl+H/AAF4d8T3kPhzX70z+KNNSceTeG3t7hrZ3VvvMkr5Ur8w3N/Dur9k/wBmb4g6p/wl2t+CPCPxDe91C08cXs1z4dTU0kNiklwQA0K/NFG4y/zcEszA+nVfE/8AZR/Zy/Zh8CxN8APg/o3hQ+I/iDp93rZ0m3KfapQJtpOScKu99qDCrubAGTXo/wCx1Gg+FF5IEG4+LtZy2OT/AKdNX5thOHcTRzeOEddpqHNeN9uf4VqvX16H6t4mcfZfxxnU84wuF9nBqMLStzNxj8UrXV9eVa/DGOvQ9Wooor9OPxs/NL/g568UfGXRP2OvCuh+B5b+Lwnq/i3yfG0lnH+7cJH5lpFMw5WMyqzAfdLxpnkKD8vf8EPvjTq2h/ArxV4Q8cftR6h4L0PTtfibw5psXiu005HeWN2unVZRvfkQ5PQE4HOa/aH47+EPgv48+EOv+FP2iLDRbnwVd2J/4SKPxDOkVkIFYPvld2URhWVWD5G0qCCCAag+AfgT4D+BfhBoXhb9nPSNAg8FW1oT4fTw7Kk1m0TOzl45FLCQM7Mxbcckkkk18lmXD+Jx2bPE08S6d4paXurdtVo9/U/YcL4iYHD+En+rEsBzT9tz+1suXfmve1/aW9z/AK99eh8FaT4X+DfgX41fCX4i/sw6lZXvjvxF8WILe88QaJfRahf+ItPuJS2u/bZgzG4hS3DzOzZEMkUO3YSAf0pr4i+CfwC+C/hX9uWH43+Hfhvptp4u1v4l+J7fVNfjRjPPEI9VGzkkKP3UedoGdgzmvt2nwjQlQwlZOTdqklr5W1+fU+O4tzSnmP1WEZSm4U9ZT+JuTb5VrL3IfZu7tuUrRvyor4p+Onju5039u/xvZ/GDxc2maPpPw80yfwbDqlwlvZDTnad9Uuo2YgO4mihWZjyiRw52qQW+1q+VP+CjPwE+Dfx78ceAtJ+M3w60/wAR2ulaNrt5p9vqKsUhnEumLvAVhngkEHIPcVvxbSdTI6jUrcrT9dUrP77/ACOXhTFYHD5lKni4twqxcW4pOUNYyUoqTSv7vK9V7spa9H4V+0/8Q/2nrX/g3ybxd4audeXX5/DkVvd3psBDfHw2180STyIoHl79N8lnYAEK7MdvJHzV/wAGr+tfFaP48/Ezw7psF03geXwnBcaxILYGFNUW5RbQGTqrmF7zCj7wUk/dFfqhcW8E/wDwT3e0mhVon+DRRo9vylTpOCMemK88/wCCcfwL+EHwA8T+NvCPwY+H2n+HdNudG0O7ubWwVsSztJqSmRmdmZjhVHJ4A4rgrYSUOIMC+dv3Gv8AwGP/ALdfU/RcD4iZbh/DrOck+oxU8VW9pFq3LBSlF8r0T/d8v7u2mr2tr9UUUUV9ofih4/qnwb/YkvP2vbL4p6v4e8EN8ak0fNjPNfQjWTZiN4vNW3L7mUR+Ynm7CQoK7sDA9cW1tUYMltGCOhCCv5i/2kfjH+1ToP8AwVC8U/E7xB4v1rRviTp3xFngtb95Ft57JFlMEEabvkSIW5RFB+QxnnKkk/s54J+OnhM+Jo7DQf2zrrxDd3ga3t9JuPHtndeczf3I4wHL8cbTnrXwsOMsHQlVjKg0+Z7W185bWffc/aPEXw0zDhahlk6uPWIVaimrtvktZ8sNX+7973Hpf3tEfblFYvw8udbvPBOm3XiIP9se3BmMgwx5OCwPQkYJ962q+1oVVXoRqJW5knZ7q6vqfjVSHs5uPZ2PJf28vEHxc8K/sZfE3xJ8Bxef8JfZeDL6bQW06HzLhJxETuiXu6jcVwCcgYBOBX8/n/BHn4o+MPBH7Ztv9n+Md74Q0jWtHvY/Ferw6zDZmWFYmljV5pwQM3Kw9PmJPoTX9LtfEP8AwTf/AGf/AIK/CP4r6d4i+G3w10zR7/xN8Orq71+7to2Ml7N9o01tzlycfNI5wMDLHivkOJcFUxea4SMKrg5cyTXSyvdarV7H6/wLx9gOG+BM5yitg1VniVHlk7WV1y+9fX3Pjha9p323PMPi94d/Y7+KPhrxP8S/ij8X9O8a6no/hdh/wlGqeLLfUL/QLeNzJFJZsjD7LILgqyMgDvJsUlsha+7f2T9X+J/iD9mD4d678a4LmPxheeCtMm8UR3tsIZlv2tYzOJIwAEfzC2VAGDkV8y/8FI/2f/gp8WPitceKfiT8NNM1rUPC/wANJLrQLi9jY/YpvOum3qoIVjujQ/MCPlHFfatiS1lCzEkmJck/Snw3g6mDzXF051HNx5U2+t03d6vVbHyGd5xSxfDmEwy5m7yl71rU0vdUKerdpaSnpHVRSj7t3LXzH/wUo8S6/oI+E1rea3dab4MvfiRGvjC7hISAslpPLp8VzISPLhe+S3HJAZxGpPzAH6cryL9uvwl4a8e/su+IfBXjHRotR0rVb3SrXUbGfOyeF9TtVZDgg4IJ6EGvoM5pOtlVeKdvdeq8lf8AHY8TIMXQwWb0qteHNC7TWjaUk48yvpzRvzRvpzJHl/7DnjTxhr/xj+Oum+GdVn1HwzpkujLpkghja3h1/wCxSpf20Uq/fZIotNMiEnY7spwcgfiV+w94/wD2rdQ/4K6eCvGV6+s3HxLv/iiI/Fq3NpuugskzRaoksbDCKlsbkMMARqhxt2jH7x/8E8Phh8Pvg58NfFfw7+FvhGz0PRLDxq32TTbFCI4y+m6e7HkkklmYkkkkmvIPAXwG+Dej/t5J8fNM+HWnReM9S+KWrWl94iCsbiWAWV6uzliqjbGgJUAkLyeTn4uphJSyvLHzv44r/wACd/8AyW1kfsPCXiHk3C9bPKKwSqQxFBU4NqKd4QcLzWq5al+eok37ySvL4j7eooor9HPwYKwviho6+IfhxrugSaYl6l9pM9vLaODiZHjKsvHJypI4rdorOtT9rSlC9rpq/qVCXJNS7Hk37MHg2TSpde8bTCdW1b7LbBZFwpW3847l4z1mYE9Pl7YNes0UVy5bgll2BhhlK/Kt9r63NcTXeJryqNWuFfk944+Nvifw7+xpqfjXxN8Xb/RvitL8SzHqtxc3VvDqFr4h/tpUe08uTKxRx26qqjGFtUSQHb85/WGvO0/ZM/Zuj/aBk/apT4N6IPiHLZfZZPFf2b/Smi8oRdc7d3lgR78btny5xxXnZ9k9bN40lTqcnJK//BXmunq9T6bhfO8qyiNVY2j7RNwnGyi7yp837uV9qdTm99q791e6+ny3oXxJ+GPivxXY6fH+1e/jK7juXfSNI1DxxaXv74xunmRxR4ZpBG8i98K7cdx9c/Ajwc3gP4V6Z4dfzg2+5unWcAOrXFxJcFSABjBlIA6gDnmurW1tUYMltGCOhCCpKjKciqZbi5YirXdSUly6rpe+7bPDxePjiaKpxgopO+n/AAyCiiivojzjgf2jtFXWfh6jPpa3Is9ShugxBJgKbsSDHpnHPGCam/Z38Ht4M+GUNk4mD3uoXl/Ik4wymed5cYwMD5uM84ruOvWivNjlyWbPHc2rhyW+d73Ol4lvCKhbre/ysFFFFekcx+aX/Bz14p+MuifsdeFdD8Dy38XhPV/Fvk+NpLOP924SPzLSKZhyIzKrMAflLxpnkKD8x/8ABEb47eI9P+A3iTwX8Q/2r9W8IaDoutRJ4U0r/hL7WwjXzVkluvLSYFiu9o2OPlDO2OS1ftT8U/hX8O/jd8P9U+FXxZ8IWeveHdatxDqmk38e6K4QMGAOMEEMqsCCCCoIIIBqL4VfBz4XfA/4f6b8K/hL4G0/QfD2jxNHpulWMOIoFZ2dsZySSzMxJJJLEkkmvlMy4dxeOzR4qniHTTilpe6t0Wq0e++/Q/XsL4k5Zh/Cn/VSWCUqvtvae00ta/NzbX9p/wAu9rez69DwL9ljQfCvjfxhoPi3wZ4u/t6w0W/vb+TWrXUo7xbq6lhuIpWlmTKs7NcyMQMHcOgAIr6ipEjjiXbGgUeijFLXq5Plf9k4V0XNzbk5NtW1dvN9u5+WYzFfW6qny2srWCvin46eO7nTf28PG9l8X/FzabpGk/DzTJ/BkGp3CW9kNOdpn1S6jZiA7iaKBZmPKJHDnapBb7Wrz34/fso/s5ftTWmj2P7Qvwg0bxZFoF6bvR01aAv9mlYAMVwRlWCruQ5Vtq5BwKnPctq5rl7w9OfK7p+Tt0f9b2PV4czHL8uxk/rsW6c4uLcUnOPvRkpRUmlf3eV6r3ZS16P4B/Za+Ovhfxf+zP4fi+Kf7bOpAXdlc28uj6p45sLQSaaLiaO2imtwoMYa0EIZOGwxzg5r7g/ZW8LQwT638QbZ3aHV7OxtbZlIMTxQG4dXQgfMD9pIzkg4GOhz62thYooRLOIBRgARjAFSgADAGAOwrzsv4crYPHQxNXEyqciaSa7q3WT/AKsTmuc0Mwq1nRoKlGpJystopu6SsltsvIKKKK+pPBPO7/8AZM/Zu1P9oC3/AGqNQ+DmizfEK1s/stv4qe3JuUi8tovXaW8tmTeRu2nbnAAr0BbW1RgyW0YI6EIKkoqIU6dO/Kkru7t1fd+Z04jGYvFqCr1JT5IqMeZt8sVtFX2iruyWiCiiirOY8o/bp174peF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", "info": {"equation": "10+50=60", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "eea7ebf1ade45fb20dd8f75cddc22bd4a31e133a6eb68e4c9d8f203703f9d39e"} +{"episode": 51115, "episode_seed": 291665942, "split": "train", "timestamp": "2025-10-28T03:47:41.234596", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 291665942, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 6, 2, 1])", "action": "('move', [4, 6, 2, 1])", "reward": 0.0, "image": 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", "info": {"equation": "8+9*0=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "8+9*0=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "41bc8abbed0b2adc11ee71a1223588b076d30b605492941bc6d03be9c147ddb9"} +{"episode": 51116, "episode_seed": 2979861895, "split": "train", "timestamp": "2025-10-28T03:47:41.307152", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2979861895, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [1, 1, 4, 1])", "action": "('move', [1, 1, 4, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "15*18=270", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "15*18=270", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "09f6db4f2a0f5de060a0f69a06300dce3b5d6919a05a7eea138b05b6b0a3393e"} +{"episode": 51117, "episode_seed": 4070144897, "split": "train", "timestamp": "2025-10-28T03:47:41.364150", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4070144897, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [8, 0, 7, 4])", "action": "('move', [8, 0, 7, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "5+14*4=61", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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HBDHPIiRqB0VVAAHoK9Mr7PLIuGXUYt392OvyR+T55jIZhnOIxMY8qnOTt6t7+ffzPyN/4OqPEfxYtfB3wn8K6fLep4Ivb/UZ9VESf6PLqcaRC2EjD+IRPcFVPXLkZxxn/wDBMz4s+Mrz9iLwn8Rfi58VLmzn034iW9tD4hv9Uiha3sbe2hgtommf5VQRIkOG5KnHcGv1R+Ov7PvwX/aa8ASfC749fDvT/E+gS3UVy2m6kjFBNGSUkUqQysMkZBHDEdCRXhV3oOieHf2oofDWg6Tb2en2PjzS7ezsreIJFDEmgwKiKo4CqoAAHQCvjeIcmrvMY4pVbKpOnFLW6e1/la6829uv6YuPsBjPDXCcMxwiVXDzqVJVNLST5ml3u+e0r6WhHe9o+4/AXVde1jwN9t1y5lnDXT/ZJ5mLNJFgHOT1Gc4NdrQAAMAUV9tgcNLB4SFGUnJxVrvqfkleoq1aU0rX6BWH8TbvxXYfDbxDfeA7cy65Dod3JosSxhy92IXMK7Tw2XCjB4NblFdMlzRaFSmqdWM2k7NOz2fk/I/n4/4N+vGHx61D/gq8L6WbVbubXdK1t/iXcXcBeRoyrTNJcFhlGN8tsC3B3tt/iNf0D18e/sc/BP4TfD39rnX/AIk+CfANhpuveLF8VS+I9Vt1bzr911mEguWJA5YnC4BJyRwK+wq+a4ToujlkouTfvy38nb9L+rP0zxb4xwfHHFMMww2H9jFUacLaXbSbbdtNOblj/djHbZcz8ab7xvpfwc8Wan8M7Z5vElv4Zv5fD8McIkZ75bdzAoVuGJkCDB4PSv51/wDgkh8W/iH4d/bnutU8R/GrVPCkfiDTtSPjfXJNZispp2w0wEs1wDh2uhGSPvE57Zr+k6uC+Fv7Ln7PXwT8ZeKfiF8KfhJo2ha142vheeKdRsbbEmoz75H3vkkD5pZGwuAS5OM1pneS181r0Z06zp8l9r316q1tem+w+CeP8v4V4VzfKq+EVWWMhGMZaWi1dPmvrZc3NG200u91+fvxw0b4Iavolx8dfht44s/GnxXtPE+h/wDCJeKv7ZttX1casl0iWNlEwJCxuDMGgUBWRppGBKl1/T+vjn48/A74Q69+3dp3xr1n4fadc+K9C1jwra6PrkqMZrSF7wblQZ2jPmPzjPzHBr7Grl4Yws8JVxUJTc2p2u+tlv11d9fQ+b4izWnjsuwVGLk3CMm3LpzcqVOOr9yChePw6ylaK3ZXPfFW30q4+H2qLrLbYVtiysFBKuPuEA992K6GvE/2wPio3hjwncaPo1hLfXdpEJzZRDm5nbC29uDgnLyMo6cZBr1s8xVPCZXUlJX5lypd3LRL+uh87gaUq2KilpZ3b7JHnf7KPiHwt40/a41231GFzdeF/DTWvh15IozFLM8sTak8bby2+MPYRH5F273GTuIH1hXydefA7W/2cb34fapoV0t1qug3SX+p3Tug/tGS43Lqy7zEAPNM0kqgBfnWLJUDI+sI5ElRZY2DKwBVgcgivP4XfsMHLBTVqlJ2a731T+f6HTmi56yrxd4zWny3Qtfhp/wdI+I/ixP+1R4D8J63Jer4Kg8FG68PxNHi2e/e5lW8ZT/HIEW0BzyoK9N3P7l1wnxx/Zj+AP7S1votp8efhTpHimPw7qi6joqarAXFrcgY3rgjIIxlTlWwMg4FehneXVM1y+WHhLlbaflo9n/W59d4X8ZYPgLjClm+Koe1hGM4tK3MuaLV430v0f8AdbPz3+APj7wD8d/2XPAXhn9pr9qNvEl5q2h6ZLrvgzXfG9mba7ulKPFBNaJtLgSLGfJPBZQGU8ivp/8A4Jeafp3h3w98T/BngCyit/AekfEmaLwfBZ26JaQM9nbS6hDbFOGiS/e5HGQshkQY27V9H/bi8CeDviB+zNr3grxp4cttR0rVb7SrbUbGdSEnifU7UMhKkHBHoQao/sDeA/Bvww+BMvw++Hvhy20jRNJ8S6hBp2m2akRwR+bnAySTkkkkkkkkkkmvnctyyvl/EcYVK8qj9m3d9ua1t3p19THH8QYfG5DilGDh7ardU1b2ULtS546/Hp7Ne6vcb953se11yPx48I/Bfx38INf8KftE2Wi3Hgm7sSPEUfiG4WKyECsH3SyOyhArKrBsjaVBBBArrq/OP/g5t8SfFjRf2FtE0vwPLex+HtU8a28HjJ7RMo0CxSSQJMw5WMzoh9C6oDzgH6rM8VHB5fUrSjzKKenf18u/kebwPkdXiTi7BZbSrexlVqRSns421vHb3tPd1XvW1R95/Bzwd8H/AAf8KvD/AIZ+B2laND4Ps9KhTw4miOktobTbmNonUkSKwO7fk7s7sknNdQqqoCqoAHQAV+Lf/BGr486xD+yK3h74n/tf6r4XtdG8SXFp4X0dvGtpYrFY7I5DtjlBcr58k2CeOoHAr9Wv2afFmseM/Dl3r1xrp1TTrlo5dO1ETiVJw6klo3HyshG0grxzxXh5VxPhcxxFPDQpSi2vLlVlfTy6LRdDr414WxPDXEGNwlWuqrpVJLnu7y13d/ta+8ruzvq9z0uvD/8AgpX4j+LHhL9gn4reJPge96niez8HXT6dLpse64iXAE0kY6h1hMjAjkFcjkCvcKo+Jiw8N6gV6ixlx/3wa+lr03VoSgna6av2utz5nK8ZHLszoYuUFNU5xk4vaXLJPlfk7Wfkfz2/8EMPirrfgn4p+NvDWo/Hy98D+GL3w/FdXklt4gttOW6vo51SAF5gSxEclz8q+5PQV+gWiaH8IdB+O/w0+K/7P/ia11z4geIfizbW2o+J9O1OHUtR1uylUDVoruZWJkt4rFBIV4WAwwFQhI3ez/8ABMX4F/B74JDX9F+E3w703QrXU/C3h+/1CKyjY/aLl/toaRi5JJwAMZwOwFUfCHwQ+EWlf8FFbj46ad8PtOi8Yah42vLC88QKjefJbLoLgR8naowiDIAJ2jJr8uwWWV1hMFiHXlyyqRSj0j7z1Wvl26n7Pxb4gZfxBxrmGaUaMqUJUrcqtepaEY2q2aXK/tfFolG2vMvsWiiiv1Y/CQr+fv8A4OIPF3x0f/gp+LDUZtUSy0XRdJf4cRrAdoRo0keSAAfvGN6JlLYJLRheiqK/oEr44/4KKfBP4TfE/wCLul+MfiD4CsNX1Pwp4Ne78OXl4rM1hObonzEAIUnKIfmBwVBFfM8W0XVydtStaUX662/W/wAj9Q8I+McHwRxY8wxOH9tGVKpC2l02k01fTXl5X/dlLfZ/VHwqvPF+ofC/w3qHxBt2h1+fQLOTXInjCFLxoEMylRwpEhYYHArfoor6WK5YpH5nVmqtWU0krtuy2V+i8kfz4/8ABf34k/tAaB/wVXutVutc1bTh4WsNHuPhpcx5i+zQiKObz7cjqftv2jL9d0e08IAP0U+GfxS8H+M4vDUHiX9q2XxXrrWsEo0G/wDG9ndj7e1viQpBFgl13SgAZwCeK+v/AIkfsxfAD4wfEfwt8Xfib8KNI1rxL4KnM3hbWL2AtNp8hZX3IQcHDKrDcDtYZGDzXbra2qNvS2jBHQhBXxeI4UxeIxNef1pxjUbdld3T6PVLTZb6H6txR4j5dn3DWT5bSwShPBU3CUtPefuq8bK9ny88r688n2u+b+C3hI+B/hbo3hljLugti7CfG8NI7SEHAGMFyMe1dRRRX2FCkqFGNNfZSX3Kx+Tzk5zcu4V4tq/w/bWP2m4dSbTZLfydTi1WSaFTicx2nkKzE5HQKnGPuD3r2miuTMMAsf7K8rck4z9bdDbD4h4fmsr8ya+8KKKK9A5wooooA8X+C/w/Nh8bNU8RtpklmNOh1CEQxqRFvu7qKZzluSSY9wwejk9xXtFFFeflmAWW4b2Klzat3fm7nRisQ8TV52raJfcFFFFegc54t8Rvh8fEf7QenSjTJIhJeabeyXUCn96LOVZlLE5GAy7TjHDDuQa9poorz8DgFgqlaalf2knL0ulodFfEOvGCtblVgrmL34XaTe/ESH4hSXb+ZEg3W2wbWkC7VfPXgdvUD6Hp6K6MRhcPilFVY35WpLya2ZnTq1KTbg7XVvkzmviN8NNO+I0FpFe38lu1pMWDxoGLI2Ny89M4HPb0NdFBDFbQJbwrtSNAqKOwAwKfRThhcPSrzrRjaU7Xfe2wSq1JU1BvRbfMKKKK3MzkfjtpI1v4XalYtpoulDQTGIgnBimSQOMd1ZA3/Aapfs6+Ez4T+HIDiYNqWo3N+yzDBUyvnA4HGACM+td3RXn/AFBPNPrvNryclvne50fWH9V9hbre/wArBXP/ABU+Ffw7+N3w+1T4VfFnwjZ694d1q3EOqaTfoWiuEDBgDggghlVgQQQVBBBFdBRXfKMZxcZK6ZnRrVcPVjVpScZRaaadmmtU01qmnqmtjB+HXwv+Hvwl8DaV8NPht4QsdH0HRLJLTStMs4QI7eFRwozkn1JJJJJJJJJrdVVUBVUADoAKWiiMYxSSVkhVatSvUlUqScpSbbbd229W23u31YV45/wUG1zx74b/AGLviJrfw1vNRttVg8POTd6PD5l3bWpdBdTQj/nolsZnUjJBUEcgV7HSSRxyxtFKgZWBDKwyCD2NZ16brUJU07XTV+11udWXYqGAzCjiZQU1TnGTi9pKLTs99Haz0Z+a+tfG/wAGeHf2oNJ8I+Ef2o38K+HZPhaLm/XSPFVna28pF3F/ZjebJuLloJbxlUHBTa/Qgn6F/ZWsPCnj/wAdaX4t8I/EA+KIdJ1G5vb3XYtWivjcXLWsluRNNHlSwSZflGCAq9gc+z/Aj9l79nz9mPw9f+FPgF8JdH8LadqepPqF/a6Xb7VmuGVVLncSfuqoCj5VA4Aru44o4htijVR6KMV8fgOFMThp0ZVcS2oSUuVJ8t076Xf427nvZ1neW4iq4YGk1Dl5VKSSnLvKSjdXu7Jczskld2HUUUV9qfKBXi37THw8Hjnxdp2mDTJAdV046e17bqfM2GQllycqNoO4ZHck8CvaaK8/M8A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"info": {"equation": "5+14*4=61", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "20711ba283336737842a5285bb876fd307b458d18fc38fa815157e1020edcc5e"} +{"episode": 51118, "episode_seed": 1837149421, "split": "train", "timestamp": "2025-10-28T03:47:41.424601", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1837149421, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [7, 1, 0, 0])", "action": "('move', [7, 1, 0, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "71-26=45", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "71-26=45", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "6064041da686ee8ff3a3658849cfca1e8b7ef9a84a022826c91e3c1c54ce9e3d"} +{"episode": 51119, "episode_seed": 2464528813, "split": "train", "timestamp": "2025-10-28T03:47:41.500975", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2464528813, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [9, 0, 1, 4])", "action": "('move', [9, 0, 1, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "16+14*7=114", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "16+14*7=114", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "cce69dead5384e694f55d3750522b534f99e2c8e0d0881303f6d6acf05fdd420"} +{"episode": 51120, "episode_seed": 707651296, "split": "train", "timestamp": "2025-10-28T03:47:41.559920", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 707651296, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 5, 1, 8])", "action": "('move', [0, 5, 1, 8])", "reward": 0.0, "image": 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", 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", "info": {"equation": "3*15=45", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", "info": {"equation": "3*15=45", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "07b10711132cba0dc3c6c6857c8303d05b3648a68598723ea93eae9eef3fb2cf"} +{"episode": 51121, "episode_seed": 200862304, "split": "train", "timestamp": "2025-10-28T03:47:41.594574", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 200862304, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [1, 8, 0, 1])", "action": "('move', [1, 8, 0, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "8/4=2", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "8/4=2", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "66ed676e7b1255c633fb9ed559eb936e6288309cefea072c01a8f5d9a922632d"} +{"episode": 51122, "episode_seed": 432132990, "split": "train", "timestamp": "2025-10-28T03:47:41.658045", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 432132990, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [1, 4, 5, 8])", "action": "('move', [1, 4, 5, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "15+15*4=75", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "15+15*4=75", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "569221dad8e1843d4000a7fc2234d682a41a5c68a5425cd29777f9feafbf54f7"} +{"episode": 51123, "episode_seed": 4166091805, "split": "train", "timestamp": "2025-10-28T03:47:41.721499", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4166091805, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [7, 0, 2, 1])", "action": "('move', [7, 0, 2, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "228/19=12", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "228/19=12", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "125149e763b7ec036e85d99e08b81714cd69b1ef94ccff9683d10c52789cca98"} +{"episode": 51124, "episode_seed": 1404123923, "split": "train", "timestamp": "2025-10-28T03:47:41.794547", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1404123923, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [7, 0, 5, 1])", "action": "('move', [7, 0, 5, 1])", "reward": 0.0, "image": 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qFGNNfZSX3Kx+QTk5zcu5+Rv/AAdUeI/ixa+D/hP4W0+W9TwReX+oz6qIo/8AR5dTjWIWwkYfxCJ7gqp65cjOOKf/AATy+KPhvx5/wT/8LeBv2h/2srq0tZ9LudKuvCd547tLGB9JSV4YbZ4gVkWJoFCEFgzIeTzX6Af8FDfhJ8Nvjf8ADTwr8PPiz4Ptdd0S68bxSXGnXhcI7Jp98yHKMp4YA8GmeH/C3huL/gm1eeGIdCtU05PhdqFolkkIWNYBaTIIwB0UJ8uB2r4bMcrr4zPq/JXlD3FLTqtuXdaaX+Z+wT4+wM/DPLsgjhUqtCvKbqq19XJpx683v2eq+CNn/L5//wAE4/DnhbwF+0D8W/AnwY0Sy07wRFp+hXl3YaNZxR2Ftr8iXKXKxmMYEjWkWnvJGPu5RsDfz9g186f8E7/hB8MPgZ4d8ZfD34Q+CbLw/osOv288en2Cts82SyhLuSxLMxwOSTwAOgAr6Lr6HhmDhkdBXvpf723+B+f8V46nmGe1a1O7VoxvL4pcsIx5pWbtKVrtXla9uaW7+Ov+C83iP4seGf8AgmT48u/hNLexyXL2dr4gm0+PMiaVLOqXOSOVRlIRyP4HbPBJr83v+CFvxh1Xwz8O/Hvg7xZ+0zf+CPDtvq1pdaPYweKbXTkmvJY5FuZAJQWc7IbYHsMDuTX7p+NdG8JeI/BureH/AB/ZWVzoV9ps8GtW+o7fs8lo8bLKsu7jYULBs8YzXH/sx/Dr9mb4efBrTPDf7KGleGYvA6yzyaY3he7jurOV2lbzWWZWcSN5gYE7iQV28bcDkzbIsRmOZRr08Q6do20vffpZrR31+R9rk/HuDy3wuxfDk8Fzzq14zVWy5UrRdm7N8/uNR7xlLa2vx/8As1+FvhN8Pv2xvhde/syXNnPdeKY9fbx5qOi3cd6+taSIJpnvr+cMxlcaobdVnY53zyRg4JUfoHXx5+xv8EfhJ8O/2uNe+I/gjwBp+ma94rXxTL4i1W2RvNv2XWYCC5JIAyxOFABPJHAr7DquE6Lo5ZKLk378t/J2/S/qz5Li3MoZljaLi5S5KcYuU/ik25TbestubkjeTbjFPT4UVxfx38XReFfAVxGblYpL7MAkZsBI8ZkYnPACg89siu0r5n/aVvZvjx4+0f4KaE0zWev6kNKvZo2C+XYKGm1GTJRwN0EbQrkcvKmCM5HVn+KnRwPsaT/eVXyR+ejfyX6Hh5fSU6/PL4Yav5HZfsSeDTafDG5+L+p2fl6j4/vRqwLxIJI9OCiPT4SVZsgW6pKRnh7iXgZIr2amQQQWsCWtrCkcUaBY441AVVAwAAOgA7U+vUwmGp4PDQoQ2ikvuOWtVlWquct2FFFFdBmfiJ/wdO+IfivJ+0H8OPCWpyXq+B08IS3ekIY8W0uqNcyJdHcPvyLCLQYP3VcYxvOf1S/4Jzax8Tdf/YS+E+r/ABihuU8Rz+B7A6iLyARSn90BGzqMYYxhCeAcnkA5rh/+CkXwT+E3xzk8FeHfi/4DsPENjYLqt9aWmoKxSO4SKALJhSM4DMMHIOeQa97+Cv8AyRzwlwP+RZsOg/6d46+Xy6g4cSYyXM3pDT1X6W09T9T4l41weceG+UZFTwyhPDSqOU9Nbv7PX3r3nfeUU9enTV+Gn/B0j4j+LE/7VHgPwnrcl6vgqDwUbrw/E0eLZ797mVbxlP8AHIEW0BzyoK9N3P7l15X+1H8KP2P/AIo2XheL9rnRPB93BY+I4n8J/wDCW3sUCnUmB2RwmR1813A/1XzB9oypwMejnuXzzPLpUIz5W2nd7aPr/W9jh8K+LsPwRxnRzSthnXjGM48sUnJc0Wrxv1Wz/uuR8IfADx94C+O/7LngLwz+01+1G3iS81bQ9Nl13wZrvjezNtd3SlHigmtE2lwHWM+SeCygMp5FfUf/AATEji0nw78S/BfgxdvgPQviJLbeCoII1FpahrO2lvre1K8GFL6S6GBwjmRBjbtHof7cXgTwd8QP2Zte8FeNPDltqOlarfaVbajYzqQk8T6nahkJUg4I9CDVH9gbwH4N+GHwJl+H3w98OW2kaJpPiXUINO02zUiOCPzc4GSSckkkkkkkkkk18/luWV8v4jjCpXlUfs27vtzWtu9Ovqc2P4gw+NyHFKMHD21W6pq3soXalzx1+PT2a91e437zvY9rrkfjx4R+C/jv4Qa/4U/aJstFuPBN3YkeIo/ENwsVkIFYPulkdlCBWVWDZG0qCCCBXXV+cf8Awc2+JPixov7C2iaX4HlvY/D2qeNbeDxk9omUaBYpJIEmYcrGZ0Q+hdUB5wD9TmeKjg8vqVpR5lFPTv6+XfyPN4HyOrxJxdgstpVvYyq1IpT2cba3jt72nu6r3rao+8/g54O+D/g/4VeH/DPwO0rRofB9npUKeHE0R0ltDabcxtE6kiRWB3b8ndndkk5rqFVVAVVAA6ACvxb/AOCNXx51iH9kVvD3xP8A2v8AVfC9ro3iS4tPC+jt41tLFYrHZHIdscoLlfPkmwTx1A4Ffq1+zT4s1jxn4cu9euNdOqadctHLp2oicSpOHUktG4+VkI2kFeOeK8PKuJ8LmOIp4aFKUW15cqsr6eXRaLodfGvC2J4a4gxuEq11VdKpJc93eWu7v9rX3ld2d9Xuel0UUV9UfFBX87f7HHjr9qXU/wDgvFpHiPX01aXxzefFa7tfFsVxaAyx2G+SK8RkPCRR2gcDHCIi7egr+iSvjzwl8E/hLpv/AAUXuPjvY+AdPj8Y6j42vLC98QhGNxLbLoLgR8naBhEGQATtGTXzHEdB1a2DkpNfvYrTz6/K34n6n4b8a4PhPAZxQr4ZVXisPKEW7e69VZ3+w+a8ktW4x06r7Dooor6c/LD+af8AZ8+Lnx/0v/grX/wm3xP+IureGPFuoePb608cavPdxWU9pC0jpdRs8o2QqsalAOihVC9Fr9Ivj7Y/sx/ELwD4q+KviP40W/jTxT4d8LSPoPiS58U2+panoM0b+baPY+Wf3ExvPJ2FV3yyCOMlgQlfcHhD4R/sd6R+1J4o+JPgrw/4OT4uX+kxJ4tnsruJtW+xlYdjTwhy0aMEg+cqu7CZJ4rwz/goj8DfhB8Svi5pfi/x78PdO1XU/Cng57zw7d3cbE2E5uifMQAhScohG4HBUEYr8yzHh3E4HAVKrxLceb4VezvJK71+Lq9N+p++8R+JeA4n4qwGMp4WWFVGhCL5ElJ8qcuWOsV7N6Ri23aPvcr+E+qfhLeeMdR+FXhnUPiLbND4gn8P2UmuwtGEMd40CGZSo4UiQsMDgV0FFFfpkVyxSPwatUVWrKaSV23ZbK/ReSPzy/bH+J8/hjx/+0tf/En4g3ejXmjeG7IeEPPeKNrbTDpQa1ns0fiUvqcl4m7B3SosfOAtdB8FPjzZ31tocNx+2Lea94g1DSYY7rRJ/HNncmS6aJWlVIYgGLhg2Ap4wa+sfiT+zD+z/wDGD4j+Fvi98TvhPpGteJfBU5m8LaxewFptPkLK+5CDg4ZVZdwO1hkYPNdwtrao29LaMEdCEFfGVuFsbWxdarHFOCnJuyvs+j1W2y8j7DH8RZTWwGHp0cP+8jGKm2opJxhGCUWrtqXK5ybSfNK1nbmlS8ITatceFdOn11Ct49nGbgMMHdtGcjsfX3rRoor7GlB06cYN3skrvr5nxspc0m7WufK/7bHijWdL/am+FmjeIdcnsfC0vh/XrmyWR1jtLnXE+yrGkjkjMi2cl8yJ3HmsAdhK/N/7PXx38DeKvhhqNp40/bQul0mTxRrlppui3njewtrebR1v547eMwgA+U0AAHILIQc85r9Bvjr+z58F/wBprwDJ8Lvj18O9P8T6BJdRXLabqSMUE0ZJSRSpDKwyRkEcMR0JB6TRvDXh7w7o9p4f0HRLWzsbC2jtrK0t4FSOCFFCpGqgYVVUAADoBXymP4bxeMzKpiYYlwUklZXvorW3WnX5s+v/ALfyqOQUcKsPetF2bajy2TnJNPVuUudKSaVlBNOXNaHn37MHhcaVoGr+KA0n/E81COZd2NhWOCOIMnHIO3rz7V6fQAAMAUV9Fl+DWAwVPDp35Va/c+UxFZ4ivKpa1z46/wCC83iT4seGP+CZPjy7+Est7FJcPZ2viCbT48yJpUs6pc5I5VGUhHI/gds8Emvzi/4IZfGvX9B+G/jfwR40/ai1PwZ4asNTtJ/D+nR+LLbT42uZll+1MizAs3EcBOPlBOerHP7qeKPDHh7xr4a1Dwd4t0e31HStWspbPUrC7jDxXMEqFJI3U9VZWII9DXPfBb4BfBr9nX4fWvwq+CXw703w74fspZZLbTLCI7FeRy7sSxLMSxPJJPQdABXiZtkOKzHMY4ilXdNKNtL336Wa0fXXofpuT+IOXZb4ZYrhipg1OrVrRqKo7WSXLe+75ly8q6cs5bW97yX9j/RPDfiDxFB8QfCfiX+2NPtNIvLeHVre+S6ivJLi4iklkaZMiSQvCxJB+8zZHTH0TSIiRrsjQKB2AxS16uU5d/ZeDVDn53du70vd38/zPzbF4n61W9pa22noFcv4J+F2leCNe1HXLK7eVr5iI42QAQIW3FQe/Pf0A9yeoorqq4XD16sKk43lC7i+11ZmMKtSEJRi9HuFFFFdBmFFFFAHlH7Ufht9ctNHni0kzSI1xbx3EaMzxmZUXaMcfNtHUdVFeieC9BTwr4O0nwvG7sum6ZBaq0hBYiONUyccZ47Vp0V59DAKhmFbFc13UUVbtyq34nRUxDnh4UrfDf8AEK/Db/g6M8UfF0ftWeAfDOp3V/F4NtfBn2zw4oUrA2otcyrdurD70ioloD3UFcY3c/uTXCfHH9mP4A/tLW+i2nx5+FOkeKY/DuqLqOipqsBcWtyBjeuCMgjGVOVbAyDgVjneXVM0y+WHhLlbaflo+v8AW5914X8ZYPgPjClm+Koe1hGM4tK3MuaLV430v0f91s+Df2WfjrZfEX4A/D+9+OH7Yl3q/iPUdG0+41fw/q/jmzKzX3yOiPbrh94kEbBM53AZ5yK+8/2dvCTeE/hyFkEwfUdRub90mGCplfOAMDjABGfWu2+yWobcLaPOeuwVJXDlWQ1svxjxFXEOo+Xl1Wyunu2+x8xm+b08zq1J06MaSnNy5Y7K7eiVlor2Xkgrn/ip8K/h38bvh9qnwq+LPhGz17w7rVuIdU0m/QtFcIGDAHBBBDKrAgggqCCCK6Civo5RjOLjJXTPIo1quHqxq0pOMotNNOzTWqaa1TT1TWxg/Dr4X/D34S+BtK+Gnw28IWOj6DolklppWmWcIEdvCo4UZyT6kkkkkkkkk1uqqqAqqAB0AFLRRGMYpJKyQqtWpXqSqVJOUpNttu7berbb3b6sKKKKZAV4vpfw/N1+06dbOmSWwsNTm1RmhU7Jmeze1DMTnOVk7Y5T2Ir2iivPx2AWOnRk5W9nNT9bX0OihiHQU0lfmTX3hRRRXoHOfzV/s7fGj9ovQv8AgrNN4w+I/wAT9a8KeKtY8c3th8QNVkvo7GaG2MzC6hkaT5IkVYwAp4Xy0C8qtfrx4Am8CfGrWrrwtoHx6m8c6lqFslrcTN4ot9RubO2L4O0RDEaZYklhjPevp/w9+y9+z54U+N+t/tJeHfhLo9p468R2S2mt+Jorf/SbuECMbWOcDIhiyQAW2DJOK7qO3giO6KFFPqqgV8LT4QxWsZ4p8rlflSbT1vd6pX+T17n674ieJOXcZ5hhsThcEqPsqEKb23V72svgje0Vvbe17J9FFFfdH5EFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXj/AO2b+3V+zl+wR8PtP+JP7R3ii+sbHVtUNhplrpGjXGoXdzKsMk8rJBbo0hSKCGWaR8bUSNmJFewV8D/8FuPDnxL0DxF8G/2j/B/wW8V+PdI8Hr410bXND8F6JJqV8k2t+GbvT7Kb7PHljF9pKRO/SNZ9x4BoA+6fCvijw9448L6b418I6xBqOk6xYQ3ul6havuiubeVBJHKh7qyMrA+hq/XkX/BP/wCE3jP4DfsLfBz4J/EWPZr/AIT+GGhaTrcW8N5V3b2EMUseRwQrqy577a9doAK5n4zfF7wN8AvhVr/xn+Jd/cW2g+G9NkvtTmtLGW5lESDJEcUSs8jk4CqoJJIArpq5D4/fEDSvhX8E/FPxD1vRNa1K10nRLieew8OaNNqN9OAhG2C2gVpJnOeEUEmgCL9nb4+fDn9qT4HeF/2h/hFfXVz4Z8X6RFqWiT3tm9vK8En3S8b/ADIeOh5rtK+Rf+CFOvale/8ABLX4UeDfEHw+8W+GNY8H+H49B1zSfGXhe60m6S7gVWcpFcojSRfvBtlA2sQwByDj66oAKSSRIo2lkYBVBLE9hS0kjiONpGBIUEkAZJoA8S/ZK/4KFfsx/tr+I/Fvg74GeItYfVvBUtt/bel+IPDd5pdx9nuQ5tryKO6jRpraYRyGOZQVbacds+3V8Bf8Eh/izqH7T37UHx7/AGsPiv8ACD4jeDvHPiq8sdL0zQfGPw91DSLTSPCunS3MOm28VzcxJHd3MzSXF3P5ZIQ3CIOEyfv2gAooooA8Ruv+ChX7NGn/ALY9l+wtqWs67a+O9TimOltdeF7yPS76eG1W8ltIb9oxby3CW7LK0SuWVTzg8V7dX57fGfTvFPxN/wCC6Pwd8U/C74P/ABcjvfANvrVl8Q9a8S6Vcf8ACGR6FNpDmC702WQtbi9ku5YYS8G2YrHIkg2qK/QmgAooooA8s/aw/bL+AX7FXhPw74y/aA8VS6ZaeK/GNh4X0FLaze4lu9SvHKwxKiAnHyszN0VVJNep1+X3/Bwf8Ev22PiT4m8BfED4F/svL8TfCnhOXRms4bTxMLW60rXJPE+lyvcfZVglkuFa2tEtzMNq20VzcytuVWWv0706a9uNPgn1GzW3uHhVp7dZd4icgFlDYG7ByM4GcUATUUUUAeaftYftXfCv9jT4UD4xfF6216402TWrLSbWy8MaBPql/d3l3MIYIYba3VpJXd2CgKCea6n4SfEvR/jJ8NNE+Kfh/RNb02y13T0u7aw8SaNNp1/AjDhJ7adVkgcd0cAivCv+CsPhD4Q+Mv2UPsnxx8HfF3WPD9j4r0zUZD8D7W4l8Q2NxbymW3uoRbfv1VJljy8PzqSp4UMRqf8ABKZf2k0/4J3/AAnX9rxtZPxC/wCEYX+3j4kbOpbfOk+zfaz1+0/ZvI83PPmb885oA+g6KKKAK2s6xpXh7SLvxBruoQ2ljY20lxeXdxIFjhiRSzuzHgKFBJPYCvLv2Qf22PgP+3J4EvviT+z/AH+t3OkWV+LdbnW/DV3pv2tGjWSK6txcxoZ7aVGDRzJlHGcHgirv7a3w18X/ABn/AGN/iz8H/h8R/b3ir4aa7pGiZfaDd3OnzwwjJ6fO6818f/8ABvR4a/aH8I/Bbxv4e+Jum/Fmx8F2Nx4etPBWnfGVZ11S1votDtY9bjgW4/eJYLqCusCj90FVvL+TFAH6G0UUUAFfPnwj/wCCl37PPxk/ay1T9izRPDXxB0jxxpljqN95Xin4fahplne2tlcpbT3Ftc3Eax3EXmSIFkjJVwwIJyK+g6+UP2c/A/jP4jf8FUPj5+03408J6pYaT4T8L+H/AIb/AA/utS0+WBL2BUfVtUubcyKBLE1zd28PmJlS1mRnKmgD6vooooAK8C+NX/BTD9kj9n79qHwz+yD8S/Gep23jHxQ+npara+H7q4sbJ7+eS3sEu7uNDFatczRSRxCRgXZSBXvtflB/wUj+Dfxx8Vf8Fmvh/wCN/DvwJ8davNHqHw7bwDrOgaFJN4ZltbTWr+bX312VR5Xm21rLHLaGc7o3fdD8xNAH6v0UUUAf/9k=", 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", 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", "info": {"equation": "285/19=15", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", "info": {"equation": "285/19=15", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "58e2d639bd6aa02b95a54c3791660a755fcd7de460a2da73e82037c2b542af25"} +{"episode": 51125, "episode_seed": 4285820048, "split": "train", "timestamp": "2025-10-28T03:47:41.873195", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4285820048, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [1, 4, 8, 0])", "action": "('move', [1, 4, 8, 0])", "reward": 0.0, "image": 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g9q8biKm6uSV0nb3b/drb52sfaeG/EWG4T43wWa16XtYU5O8dL+9Fxur6c0b80b21S1W55x/wQe1f4l6x/wAEwfh3J8TIbhXt0vLfQ2uYBGz6YlzItsQBjK7BhWPVQp5GCfsGvM/2OdG0rw7+zT4U8PaDp0NnY2FlLbWVpboFjghjnkVEUDoqqAAPQV6ZXZlkeTLqMb3tGP5I8PibMqec8R4zHwpqnGrVnNRW0VKTdvlc/I3/AIOqPEfxYtfB/wAJ/C2ny3qeCLy/1GfVRFH/AKPLqcaxC2EjD+IRPcFVPXLkZxxT/wCCeXxR8N+PP+Cf/hbwN+0P+1ldWlrPpdzpV14TvPHdpYwPpKSvDDbPECsixNAoQgsGZDyea/QD/gob8JPht8b/AIaeFfh58WfB9rruiXXjeKS4068LhHZNPvmQ5RlPDAHg0zw/4W8Nxf8ABNq88MQ6FappyfC7ULRLJIQsawC0mQRgDooT5cDtXx+Y5XXxmfV+SvKHuKWnVbcu600v8z9Gnx9gZ+GeXZBHCpVaFeU3VVr6uTTj15vfs9V8EbP+Xz//AIJx+HPC3gL9oH4t+BPgxollp3giLT9CvLuw0azijsLbX5EuUuVjMYwJGtItPeSMfdyjYG/n7Br50/4J3/CD4YfAzw74y+Hvwh8E2Xh/RYdft549PsFbZ5sllCXcliWZjgckngAdABX0XX0PDMHDI6CvfS/3tv8AA/P+K8dTzDPatandq0Y3l8UuWEY80rN2lK12ryte3NLd/HX/AAXm8SfFjwx/wTJ8eXfwllvYpLh7O18QTafHmRNKlnVLnJHKoykI5H8Dtngk1+ZX/BErxt8QtV8A/FfwNrHiW7m8M6L4OvLjRNPlnBisrmcD7S8Y6pvEUBP8OUz13Z/ezxR4Y8PeNfDWoeDvFuj2+o6Vq1lLZ6lYXcYeK5glQpJG6nqrKxBHoa+Tv2gfgV8If2cfCWnfCj4HeAbDw34esvAXiSW20vTkIRXkltXdyWJZmLHqST0HQAV4XFuV1aieOVS0YxSce/vL8Nb+qXy+74b47wOD8O8RwrLCp1a1ZVFV00SUW/PmXJyq2nLOWqtaXqn7IXjvUvHekjU7Lx0/iXRzpcSxax/aC3STSphMiVPkZjtbdjuORnNe11X0lEj0u3WNAo8hOAMdhVivqsrwU8vwaozqObu3d76u/d/mflWKrxxFZzUeVdkcz8ab7xvpfwc8Wan8M7Z5vElv4Zv5fD8McIkZ75bdzAoVuGJkCDB4PSv51/8Agkh8W/iH4d/bnutU8R/GrVPCkfiDTtSPjfXJNZispp2w0wEs1wDh2uhGSPvE57Zr+k6uC+Fv7Ln7PXwT8ZeKfiF8KfhJo2ha142vheeKdRsbbEmoz75H3vkkD5pZGwuAS5OM15ud5LXzWvRnTrOnyX2vfXqrW16b7H6TwTx/l/CvCub5VXwiqyxkIxjLS0Wrp819bLm5o22ml3uvz9+OGjfBDV9EuPjr8NvHFn40+K9p4n0P/hEvFX9s22r6uNWS6RLGyiYEhY3BmDQKArI00jAlS6/p/Xxz8efgd8Ide/bu07416z8PtOufFehax4VtdH1yVGM1pC94NyoM7RnzH5xn5jg19jVy8MYWeEq4qEpubU7XfWy366u+vofN8RZrTx2XYKjFybhGTbl05uVKnHV+5BQvH4dZStFbsrnvirb6VcfD7VF1ltsK2xZWCglXH3CAe+7FdDXif7YHxUbwx4TuNH0awlvru0iE5sohzczthbe3BwTl5GUdOMg162eYqnhMrqSkr8y5Uu7lol/XQ+dwNKVbFRS0s7t9kjzv9lHxD4W8aftca7b6jC5uvC/hprXw68kUZilmeWJtSeNt5bfGHsIj8i7d7jJ3ED6wr5OvPgdrf7ON78PtU0K6W61XQbpL/U7p3Qf2jJcbl1Zd5iAHmmaSVQAvzrFkqBkfWEciSossbBlYAqwOQRXn8Lv2GDlgpq1Sk7Nd76p/P9DpzRc9ZV4u8ZrT5boWiiivpjyz88f+DlzxH8WND/4J+2dh4AlvY9E1PxrZ23jR7OPKmy8uV4llYcrGblIB6Ftinrg1/wDg2V1f4mah+wJqmn+MYbgaHY+OryPwi88AVWtmjiecRtjLqLlpuecMWGeMD68/bk8HeF/iF+zHr3gfxtosOpaRqt9pVtqNhcZ2TwvqdqGQ7SDgj0INZ37A/gTwd8MPgTL8Pvh94cttI0XSfEuoQadptmpEcEfm5wMkk8kkkkkkkkkmvl3Qa4uU+Z60r2+drenX1P1RcaYP/iEL4a+rL2n1n2ntNNrXv35/sX25NL9D2uuR+PHhH4L+O/hBr/hT9omy0W48E3diR4ij8Q3CxWQgVg+6WR2UIFZVYNkbSoIIIFddX5x/8HNviT4saL+wtoml+B5b2Pw9qnjW3g8ZPaJlGgWKSSBJmHKxmdEPoXVAecA+1meKjg8vqVpR5lFPTv6+XfyPleB8jq8ScXYLLaVb2MqtSKU9nG2t47e9p7uq962qPvP4OeDvg/4P+FXh/wAM/A7StGh8H2elQp4cTRHSW0NptzG0TqSJFYHdvyd2d2STmuoVVUBVUADoAK/Fv/gjV8edYh/ZFbw98T/2v9V8L2ujeJLi08L6O3jW0sVisdkch2xyguV8+SbBPHUDgV+rX7NPizWPGfhy7164106pp1y0cunaiJxKk4dSS0bj5WQjaQV454rw8q4nwuY4inhoUpRbXlyqyvp5dFouh18a8LYnhriDG4SrXVV0qklz3d5a7u/2tfeV3Z31e56XXh3/AAUr8R/Fjwj+wT8VvEnwPe9TxPZ+Drp9Ol02PdcRLgCaSMdQ6wmRgRyCuRyBXuNJJGkqNFKgZWBDKwyCPQ19LXputRlTTtdNX7XW58zleMjl2Z0MXKmpqnOMnF7S5ZJ8r8naz8j+eD/ghf8AFXXPBPxS8beG9R+Pd74H8MXvh+K6vJLbxBbaet1fxzqkALzAliI5Ln5V+p6Cvv7S/DHwW0v49/C74u/AjXLHxB8Q9Y+LttFdeKrLUINU1LVrWaPy9XS4nBJaGPTwWIGFhEcO0Lu+b7m+BP7MH7Pv7Mnh6/8ACnwD+E2j+FtO1TU31C/tdMt9qzXLKqlzuJP3VUADgAcAV87eEPgh8ItK/wCCitx8dNO+H2nReMNQ8bXlheeIFRvPktl0FwI+TtUYRBkAE7Rk1+d1OHsVlrwntMQ5J1IrlV7Jtt3Wv6Lc/YeJfEfLuKeL8dnGHoSownSaUVa9S0FG1azS5XvL49Eo215l9i0UUV+kn4eFfz9/8HEHi746P/wU/FhqM2qJZaLoukv8OI1gO0I0aSPJAAP3jG9EylsElowvRVFf0CV8cf8ABRT4J/Cb4n/F3S/GPxB8BWGr6n4U8Gvd+HLy8VmawnN0T5iAEKTlEPzA4KgivmeLaLq5O2pWtKL9dbfrf5H6h4R8Y4Pgjix5hicP7aMqVSFtLptJpq+mvLyv+7KW+z+qPhVeeL9Q+F/hvUPiDbtDr8+gWcmuRPGEKXjQIZlKjhSJCwwOBW/RRX0sVyxSPzOrNVasppJXbdlsr9F5IK8+/aR0gan4ItLg6YLg2Oqx3CvtJMB2SJvGPZyvPGGNeg0Vy4/CfXsFUw/Ny8yav2Kw9X2FaNS17O5y/wAFvCR8D/C3RvDLGXdBbF2E+N4aR2kIOAMYLkY9q6iiitqFJUKMaa+ykvuVjOcnObl3Plf9tjxRrOl/tTfCzRvEOuT2PhaXw/r1zZLI6x2lzrifZVjSRyRmRbOS+ZE7jzWAOwlfm/8AZ6+O/gbxV8MNRtPGn7aF0ukyeKNctNN0W88b2FtbzaOt/PHbxmEAHymgAA5BZCDnnNfoN8df2fPgv+014Bk+F3x6+Hen+J9AkuorltN1JGKCaMkpIpUhlYZIyCOGI6Eg9Jo3hrw94d0e08P6DolrZ2NhbR21laW8CpHBCihUjVQMKqqAAB0Ar5bH8N4vGZlUxMMS4KSSsr30VrbrTr82fX/2/lUcgo4VYe9aLs21HlsnOSaercpc6Uk0rKCacua0PPv2YPC40rQNX8UBpP8AieahHMu7GwrHBHEGTjkHb159q9PoAAGAKK+iy/BrAYKnh078qtfufKYis8RXlUta4V41+1V4Ffxtdabpw0t2N9p13pi3kCkyItxsDoOoH3FYZH8J7A17LRWeaYBZngpYdy5U7a+jT/QrC4h4WuqiV7X/ACGW0It7eO3UkhECgn2GKfRRXoHOFFFFAHi3xG+Hx8R/tB6dKNMkiEl5pt7JdQKf3os5VmUsTkYDLtOMcMO5Br2miivPwOAWCqVpqV/aScvS6Wh0V8Q68YK1uVWCuYvfhdpN78RIfiFJdv5kSDdbbBtaQLtV89eB29QPoenoroxGFw+KUVVjflakvJrZmdOrUpNuDtdW+TOa+I3w0074jQWkV7fyW7WkxYPGgYsjY3Lz0zgc9vQ10UEMVtAlvCu1I0Coo7ADAp9FOGFw9KvOtGNpTtd97bBKrUlTUG9Ft8wooorczOR+O2kjW/hdqVi2mi6UNBMYiCcGKZJA4x3VkDf8Bql+zr4TPhP4cgOJg2pajc37LMMFTK+cDgcYAIz613dFef8AUE80+u82vJyW+d7nR9Yf1X2Fut7/ACsFc/8AFT4V/Dv43fD7VPhV8WfCNnr3h3WrcQ6ppN+haK4QMGAOCCCGVWBBBBUEEEV0FFd8oxnFxkrpmdGtVw9WNWlJxlFppp2aa1TTWqaeqa2MH4dfC/4e/CXwNpXw0+G3hCx0fQdEsktNK0yzhAjt4VHCjOSfUkkkkkkkkmt1VVQFVQAOgApaKIxjFJJWSFVq1K9SVSpJylJttt3bb1bbe7fVhRRRTICvF9L+H5uv2nTrZ0yS2Fhqc2qM0KnZMz2b2oZic5ysnbHKexFe0UV5+OwCx06MnK3s5qfra+h0UMQ6Cmkr8ya+8KKKK9A5wrxb9pj4eDxz4u07TBpkgOq6cdPa9t1PmbDISy5OVG0HcMjuSeBXtNFefmeAWZYR0HLlV07+jTOjC4h4ar7RK+/4oKKKK9A5wooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK8f/bN/bq/Zy/YI+H2n/En9o7xRfWNjq2qGw0y10jRrjULu5lWGSeVkgt0aQpFBDLNI+NqJGzEivYK+B/+C3Hhz4l6B4i+Df7R/g/4LeK/HukeD18a6Nrmh+C9Ek1K+SbW/DN3p9lN9njyxi+0lInfpGs+48A0AfdPhXxR4e8ceF9N8a+EdYg1HSdYsIb3S9QtX3RXNvKgkjlQ91ZGVgfQ1fryL/gn/wDCbxn8Bv2Fvg58E/iLHs1/wn8MNC0nW4t4byru3sIYpY8jghXVlz32167QAVzPxm+L3gb4BfCrX/jP8S7+4ttB8N6bJfanNaWMtzKIkGSI4olZ5HJwFVQSSQBXTVyHx++IGlfCv4J+KfiHreia1qVrpOiXE89h4c0abUb6cBCNsFtArSTOc8IoJNAEX7O3x8+HP7UnwO8L/tD/AAivrq58M+L9Ii1LRJ72ze3leCT7peN/mQ8dDzXaV8i/8EKde1K9/wCCWvwo8G+IPh94t8Max4P8Px6Drmk+MvC91pN0l3Aqs5SK5RGki/eDbKBtYhgDkHH11QAUkkiRRtLIwCqCWJ7ClpJHEcbSMCQoJIAyTQB4l+yV/wAFCv2Y/wBtfxH4t8HfAzxFrD6t4Kltv7b0vxB4bvNLuPs9yHNteRR3UaNNbTCOQxzKCrbTjtn26vgL/gkP8WdQ/ae/ag+Pf7WHxX+EHxG8HeOfFV5Y6Xpmg+Mfh7qGkWmkeFdOluYdNt4rm5iSO7uZmkuLufyyQhuEQcJk/ftABRRRQB4jdf8ABQr9mjT/ANsey/YW1LWddtfHepxTHS2uvC95Hpd9PDareS2kN+0Yt5bhLdllaJXLKp5weK9ur89vjPp3in4m/wDBdH4O+Kfhd8H/AIuR3vgG31qy+IeteJdKuP8AhDI9Cm0hzBd6bLIWtxeyXcsMJeDbMVjkSQbVFfoTQAUUUUAeWftYftl/AL9irwn4d8ZftAeKpdMtPFfjGw8L6CltZvcS3epXjlYYlRATj5WZm6KqkmvU6/L7/g4P+CX7bHxJ8TeAviB8C/2Xl+JvhTwnLozWcNp4mFrdaVrknifS5XuPsqwSyXCtbWiW5mG1baK5uZW3KrLX6d6dNe3GnwT6jZrb3Dwq09usu8ROQCyhsDdg5GcDOKAJqKKKAPNP2sP2rvhX+xp8KB8Yvi9ba9cabJrVlpNrZeGNAn1S/u7y7mEMEMNtbq0kru7BQFBPNdT8JPiXo/xk+GmifFPw/omt6bZa7p6XdtYeJNGm06/gRhwk9tOqyQOO6OARXhX/AAVh8IfCHxl+yh9k+OPg74u6x4fsfFemajIfgfa3EviGxuLeUy291CLb9+qpMseXh+dSVPChiNT/AIJTL+0mn/BO/wCE6/teNrJ+IX/CML/bx8SNnUtvnSfZvtZ6/afs3kebnnzN+ec0AfQdFFFAFbWdY0rw9pF34g13UIbSxsbaS4vLu4kCxwxIpZ3ZjwFCgknsBXl37IP7bHwH/bk8CX3xJ/Z/v9budIsr8W63Ot+GrvTftaNGskV1bi5jQz20qMGjmTKOM4PBFXf21vhr4v8AjP8Asb/Fn4P/AA+I/t7xV8NNd0jRMvtBu7nT54YRk9Pndea+P/8Ag3o8NftD+Efgt438PfE3TfizY+C7G48PWngrTvjKs66pa30Wh2setxwLcfvEsF1BXWBR+6Cq3l/JigD9DaKKKACvnz4R/wDBS79nn4yftZap+xZonhr4g6R440yx1G+8rxT8PtQ0yzvbWyuUtp7i2ubiNY7iLzJECyRkq4YEE5FfQdfKH7Ofgfxn8Rv+CqHx8/ab8aeE9UsNJ8J+F/D/AMN/h/dalp8sCXsCo+rapc25kUCWJrm7t4fMTKlrMjOVNAH1fRRRQAV4F8av+CmH7JH7P37UPhn9kH4l+M9TtvGPih9PS1W18P3VxY2T388lvYJd3caGK1a5mikjiEjAuykCvfa/KD/gpH8G/jj4q/4LNfD/AMb+HfgT461eaPUPh23gHWdA0KSbwzLa2mtX82vvrsqjyvNtrWWOW0M53Ru+6H5iaAP1fooooA//2Q==", 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", 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", "info": {"equation": "19+4*7=47", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "19+4*7=47", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "2e51af47b46bb9995cbf72077a82bce7733aeded029ae894ee491d64deaca63c"} +{"episode": 51126, "episode_seed": 3270383780, "split": "train", "timestamp": "2025-10-28T03:47:41.944588", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3270383780, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 0, 3, 4])", "action": "('move', [0, 0, 3, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "13+6*2=25", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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2seqjH6yV4L/wUL+Fnw7+NHwo8PfDv4qeErXXNDvvGlubvTbwsI5SlrdupJQg8MoPB7V4vEVN1ckrpO3u3+7W3ztY+48N+IsNwnxvgs1r0vawpyd46X96LjdX05o35o3tqlqtzzj/AIIPav8AEvWP+CYPw7k+JkNwr26XlvobXMAjZ9MS5kW2IAxldgwrHqoU8jBP2DXmf7HOjaV4d/Zp8KeHtB06GzsbCyltrK0t0CxwQxzyKiKB0VVAAHoK9MrsyyPJl1GN72jH8keHxNmVPOeI8Zj4U1TjVqzmoraKlJu3yufkb/wdUeI/ixa+DvhP4V0+W9TwRe3+oz6qIk/0eXU40iFsJGH8Qie4KqeuXIzjiD/gn98XdH+Jn7BHhnwl+0v+17fpHdaZc6Xe+GNS8f21pFLpKSPBDbSR5WURNbqqEFgzIeuDX6Y/tWfDv9lz4m/B668O/thWHhifwUl5BPct4tv0tbSK4V8RP5zugjfc20EMCdxXkMQV+PPhXwdB+yl4y8MaPodimjJ8PtQtLWztolEAtRYyIsaBeAmzAAHGOlfN5nw/icVj62JhiXBOK0V76K1nqtNPz0P0KfiBhJ+G+XcPLB8tShWlP22murfuvfn99c2qsow1193wX/gnH4c8LeAv2gfi34E+DGiWWneCItP0K8u7DRrOKOwttfkS5S5WMxjAka0i095Ix93KNgb+fsGvnT/gnf8ACD4YfAzw74y+Hvwh8E2Xh/RYdft549PsFbZ5sllCXcliWZjgckngAdABX0XXq8MwcMjoK99L/e2/wPg+K8dTzDPatandq0Y3l8UuWEY80rN2lK12ryte3NLd/HX/AAXm8SfFjwx/wTJ8eXfwllvYpLh7O18QTafHmRNKlnVLnJHKoykI5H8Dtngk1+ZX/BErxt8QtV8A/FfwNrHiW7m8M6L4OvLjRNPlnBisrmcD7S8Y6pvEUBP8OUz13Z/ezxR4Y8PeNfDWoeDvFuj2+o6Vq1lLZ6lYXcYeK5glQpJG6nqrKxBHoa+Tv2gfgV8If2cfCWnfCj4HeAbDw34esvAXiSW20vTkIRXkltXdyWJZmLHqST0HQAV4XFuV1aieOVS0YxSce/vL8Nb+qXy+74b47wOD8O8RwrLCp1a1ZVFV00SUW/PmXJyq2nLOWqtaXqn7IXjvUvHekjU7Lx0/iXRzpcSxax/aC3STSphMiVPkZjtbdjuORnNe11X0lEj0u3WNAo8hOAMdhVivqsrwU8vwaozqObu3d76u/d/mflWKrxxFZzUeVdkcz8ab7xvpfwc8Wan8M7Z5vElv4Zv5fD8McIkZ75bdzAoVuGJkCDB4PSv51/8Agkh8W/iF4c/boutT8SfGrVPCkfiDTdSPjfW5NZispp2w0wEs1wDhmuhGSPvEk9s1/SdXx1+w98DfhD8O/wBpnXPHXgn4eadpus+LNN8Q3XiTUYY2Mt/MNYtyGcsTjl2OFwMt0rwOJcFUxeOwkYVHBtyV100vdarXSx+n8CccYHhrhHOssrYVVZYqEVGTtpZte9foubmjbaaXe68J+M9j8G7rSbn4+fCn4h2/i74tWviLRovCfi2LXLfVdY/tP7QsVpYRMpwsUiPOjwKArxyTuwOCy/p3Xxz8efgd8Ide/bu07416z8PtOufFehax4VtdH1yVGM1pC94NyoM7RnzH5xn5jg19jVfDGFnhKmKhOo5tTtd9Wlv11d9fQ+V4jzWnj8uwVGLk3CMm3LpzcqVOOr9yChePw6ylaK3ZXPfFW30q4+H2qLrLbYVtiysFBKuPuEA992K6GvE/2wPio3hjwncaPo1hLfXdpEJzZRDm5nbC29uDgnLyMo6cZBr1s8xVPCZXUlJX5lypd3LRL+uh87gaUq2KilpZ3b7JHnf7KPiHwt40/a41231GFzdeF/DTWvh15IozFLM8sTak8bby2+MPYRH5F273GTuIH1hXydefA7W/2cb34fapoV0t1qug3SX+p3Tug/tGS43Lqy7zEAPNM0kqgBfnWLJUDI+sI5ElRZY2DKwBVgcgivP4XfsMHLBTVqlJ2a731T+f6HTmi56yrxd4zWny3Qtfht/wdGeKPi6P2rPAPhrVLm/i8G2ngz7Z4dUKVt21FrmVbt1YfekVEtAe6grjG7n9ya+Vf+ClfwR+EvxvvPB2l/FzwDYeILbStK1y/wBPg1BWKQ3KCzCyYBGcAkYOQc8g1fFdN1MjqtO1rP11Wh9p4T8WYTgvjahmeJoe1gozjZW5lzRa5o30v0/wtnz5+yz8drH4i/AH4f33xv8A2xLvV/Eeo6Np9xq/h/V/HVkVmvfkeNHgXD7w4jYJnO4DOTkV95/s7eEm8J/DkLIJg+o6jc37pMMFTK+cAYHGACM+tbXwxtbY/Dfw9IbaPd/Ydoc7B18lK6CpynIa2Axf1mriHUbjy6rZNp7tvsfJZxm9PMq1SVOjGkpTcrR2V29ErLRXsvJBXI/Hjwj8F/Hfwg1/wp+0TZaLceCbuxI8RR+IbhYrIQKwfdLI7KECsqsGyNpUEEECuur84/8Ag5t8SfFjRf2FtE0vwPLex+HtU8a28HjJ7RMo0CxSSQJMw5WMzoh9C6oDzgH18zxUcHl9StKPMop6d/Xy7+R38D5HV4k4uwWW0q3sZVakUp7ONtbx297T3dV71tUfefwc8HfB/wAH/Crw/wCGfgdpWjQ+D7PSoU8OJojpLaG025jaJ1JEisDu35O7O7JJzXUKqqAqqAB0AFfi3/wRq+POsQ/sit4e+J/7X+q+F7XRvElxaeF9HbxraWKxWOyOQ7Y5QXK+fJNgnjqBwK/Vr9mnxZrHjPw5d69ca6dU065aOXTtRE4lScOpJaNx8rIRtIK8c8V4eVcT4XMcRTw0KUotry5VZX08ui0XQ6+NeFsTw1xBjcJVrqq6VSS57u8td3f7WvvK7s76vc9Lrw//AIKV+I/ix4R/YK+K3iT4HPep4ns/B10+nS6bHuuIlwBNJGOodYTIwI5BXI5Ar3CqPiYsPDeoFeosZcf98Gvpa9N1aEoJ2umr9rrc+ZyvGRy7M6GLlBTVOcZOL2lyyT5X5O1n5H8+P/BDL4weJvBnxI8Z+DNU/aG1HwR4RuNES+uEg8SW+nxT6is0ccRzMDlvKM2QvUKN33Vr9eP2VrDwp4/8daX4t8I/EA+KIdJ1G5vb3XYtWivjcXLWsluRNNHlSwSZflGCAq9gc5n/AATF+Bfwe+CQ1/RfhN8O9N0K11Pwt4fv9Qiso2P2i5f7aGkYuSScADGcDsBX1rHFHENsUaqPRRivguH8hrYnDYfFyxEuWL5lDpeLe2tvw6n6N4ocb4Pizi3FY/DYb2caijHW3M7QSvK2jb9dkuw6iiiv0I/Kj+af9nz4ufH/AEv/AIK1/wDCbfE/4i6t4Y8W6h49vrTxxq893FZT2kLSOl1GzyjZCqxqUA6KFUL0Wv0i+Ptj+zH8QvAPir4q+I/jRb+NPFPh3wtI+g+JLnxTb6lqegzRv5to9j5Z/cTG88nYVXfLII4yWBCV9weEPhH+x3pH7Unij4k+CvD/AIOT4uX+kxJ4tnsruJtW+xlYdjTwhy0aMEg+cqu7CZJ4rwz/AIKI/A34QfEr4uaX4v8AHvw907VdT8KeDnvPDt3dxsTYTm6J8xACFJyiEbgcFQRivzLMeHcTgcBUqvEtx5vhV7O8krvX4ur036n77xH4l4DifirAYynhZYVUaEIvkSUnypy5Y6xXs3pGLbdo+9yv4T6p+Et54x1H4VeGdQ+Its0PiCfw/ZSa7C0YQx3jQIZlKjhSJCwwOBXQUUV+mRXLFI/Bq1RVasppJXbdlsr9F5IK8+/aR0gan4ItLg6YLg2Oqx3CvtJMB2SJvGPZyvPGGNeg0Vy4/CfXsFUw/Ny8yav2Kw9X2FaNS17O5y/wW8JHwP8AC3RvDLGXdBbF2E+N4aR2kIOAMYLkY9q6iiitqFJUKMaa+ykvuVjOcnObl3PyN/4OqPEfxYtfB3wn8K6fLep4Ivb/AFGfVREn+jy6nGkQthIw/iET3BVT1y5GccSf8E4vjunin9iHwhp/x8/bGv7a4+xXGnyeHdS8dWdvGdMjleGCB4W+fyzAqrgkMV78g1+nvx1/Z9+C/wC014Ak+F3x6+Hen+J9AluorltN1JGKCaMkpIpUhlYZIyCOGI6Eiuk0bw14e8PaPaeH9C0S1tLGwto7eytLeBUjgiRQqIqgYCqoAAHQCvlsfw3i8ZmVTEwxLpqSSsr30VrbrTr82fqmJ8Q8ur+GmB4ZWCXtaFWc3U0s0+Zq2jfM+a0r6WhHfaPnv7MHhcaVoGr+KA0n/E81COZd2NhWOCOIMnHIO3rz7V6fQAAMAUV9Fl+DWAwVPDp35Va/c/L8RWeIryqWtcK8a/aq8Cv42utN04aW7G+0670xbyBSZEW42B0HUD7isMj+E9ga9lorPNMAszwUsO5cqdtfRp/oVhcQ8LXVRK9r/kMtoRb28dupJCIFBPsMU+iivQOc5f43X/jnSvgv4v1T4YWzzeJbbwvqEvh2GKESNJfLbSGBQrcMTIEGDwelfm9Z/G/wt4bufgDY+FP2mb7QItX8NX7+INTXxBa21zdWf2FGklupZsmOU6jHCrDgmXzlI+Rgv6k1wPws/Zb/AGefgl4y8U/EL4UfCPRtC1rxtffbPFOo2NtiTUZ98j73ySB88sjYXAJcnGa+dzvJcRmtejOnWdPkvte+vVarXpvsfV5FneWZdluIo4mjzzldw0jZtxlC029Uo83PCyfvKzSvzR+ffgJH4N+LPjW0bwt8XZPGk9vrtje6pqy6/BqM8YtpVmijkeL5UT92QAQCdzYOTx9gU2OGGHPlRKueu1cU6urJsqllVKcZVXUcndt+iXd/meBjMWsXOLUeVJWsFcxe/C7Sb34iQ/EKS7fzIkG622Da0gXar568Dt6gfQ9PRXoYjC4fFKKqxvytSXk1sznp1alJtwdrq3yZzXxG+GmnfEaC0ivb+S3a0mLB40DFkbG5eemcDnt6GuighitoEt4V2pGgVFHYAYFPopwwuHpV51oxtKdrvvbYJVakqag3otvmFfGv7VfjWLSP2zdasfiv4uk0vw5Y/CGG58OLfTJBaFHu7n+150ZiA8qLFp4fOdiMh4D8/ZVcJ8cv2YvgB+0vb6LafHn4UaR4pj8O6ouo6KmqwFxa3AGNwwRkEYyhyrYGQcCuDO8uqZrl8sPCXK20/LR7P+tz2eHswwGX46UsbFunKLi3FJzjqmnHmaV7rleq91yPhz9kP9o2HUPg54C1rxn+2rqF14gutEthc6LqPjaxXzZZE2pG9soDK5Vk+QYIbA6jFffnwnu9cvfAOn3PiFpGuWRvnmzvZNx2ls8524+tb32S1DbhbR5z12CpK5MqyTE5diXVq4mVTS1ney1Tvq32Ms1zShmNWc6dCNNSk5Wjsk2/dWi0V7fIK5/4qfCv4d/G74fap8Kviz4Rs9e8O61biHVNJv0LRXCBgwBwQQQyqwIIIKgggiugor6CUYzi4yV0zy6Narh6satKTjKLTTTs01qmmtU09U1sYPw6+F/w9+EvgbSvhp8NvCFjo+g6JZJaaVplnCBHbwqOFGck+pJJJJJJJJNbqqqgKqgAdABS0URjGKSSskKrVqV6kqlSTlKTbbbu23q2292+rCvHP+Cg2uePfDf7F3xE1v4a3mo22qweHnJu9Hh8y7trUugupoR/z0S2MzqRkgqCOQK9jpJI45Y2ilQMrAhlYZBB7Gs69N1qEqadrpq/a63OrLsVDAZhRxMoKapzjJxe0lFp2e+jtZ6M/NfWvjf4M8O/tQaT4R8I/tRv4V8OyfC0XN+ukeKrO1t5SLuL+zG82TcXLQS3jKoOCm1+hBP1R+yZ8R7rxxqkKeG/itL4x0m2t5YbvVG1iO+G8HcA8sXyeYC4GODtI9BXonwI/Ze/Z8/Zj8PX/hT4BfCXR/C2nanqT6hf2ul2+1ZrhlVS53En7qqAo+VQOAK7uOKOIbYo1UeijFfJZbwvjMHOlKeKdoO/Kr8vpv166dz3M7znK8VVcMFR9xRUVKSSnLq5SUbq93ZJSdkkruw6iiivsj5Y/mr/AGdvjR+0XoX/AAVmm8YfEf4n614U8Vax45vbD4garJfR2M0NsZmF1DI0nyRIqxgBTwvloF5Va/XjwBN4E+NWtXXhbQPj1N451LULZLW4mbxRb6jc2dsXwdoiGI0yxJLDGe9fT/h79l79nzwp8b9b/aS8O/CXR7Tx14jsltNb8TRW/wDpN3CBGNrHOBkQxZIALbBknFd1HbwRHdFCin1VQK+Fp8IYrWM8U+VyvypNp63u9Ur/ACevc/XfETxJy7jPMMNicLglR9lQhTe26ve1l8Eb2it7b2vZPooor7o/IgooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK8f8A2zf26v2cv2CPh9p/xJ/aO8UX1jY6tqhsNMtdI0a41C7uZVhknlZILdGkKRQQyzSPjaiRsxIr2Cvgf/gtx4c+JegeIvg3+0f4P+C3ivx7pHg9fGuja5ofgvRJNSvkm1vwzd6fZTfZ48sYvtJSJ36RrPuPANAH3T4V8UeHvHHhfTfGvhHWINR0nWLCG90vULV90VzbyoJI5UPdWRlYH0NX68i/4J//AAm8Z/Ab9hb4OfBP4ix7Nf8ACfww0LSdbi3hvKu7ewhiljyOCFdWXPfbXrtABXM/Gb4veBvgF8Ktf+M/xLv7i20Hw3psl9qc1pYy3MoiQZIjiiVnkcnAVVBJJAFdNXIfH74gaV8K/gn4p+Iet6JrWpWuk6JcTz2HhzRptRvpwEI2wW0CtJM5zwigk0ARfs7fHz4c/tSfA7wv+0P8Ir66ufDPi/SItS0Se9s3t5Xgk+6Xjf5kPHQ812lfIv8AwQp17Ur3/glr8KPBviD4feLfDGseD/D8eg65pPjLwvdaTdJdwKrOUiuURpIv3g2ygbWIYA5Bx9dUAFJJIkUbSyMAqgliewpaSRxHG0jAkKCSAMk0AeJfslf8FCv2Y/21/Efi3wd8DPEWsPq3gqW2/tvS/EHhu80u4+z3Ic215FHdRo01tMI5DHMoKttOO2fbq+Av+CQ/xZ1D9p79qD49/tYfFf4QfEbwd458VXljpemaD4x+HuoaRaaR4V06W5h023iubmJI7u5maS4u5/LJCG4RBwmT9+0AFFFFAHiN1/wUK/Zo0/8AbHsv2FtS1nXbXx3qcUx0trrwveR6XfTw2q3ktpDftGLeW4S3ZZWiVyyqecHivbq/Pb4z6d4p+Jv/AAXR+Dvin4XfB/4uR3vgG31qy+IeteJdKuP+EMj0KbSHMF3pssha3F7Jdywwl4NsxWORJBtUV+hNABRRRQB5Z+1h+2X8Av2KvCfh3xl+0B4ql0y08V+MbDwvoKW1m9xLd6leOVhiVEBOPlZmboqqSa9Tr8vv+Dg/4JftsfEnxN4C+IHwL/ZeX4m+FPCcujNZw2niYWt1pWuSeJ9Lle4+yrBLJcK1taJbmYbVtorm5lbcqstfp3p017cafBPqNmtvcPCrT26y7xE5ALKGwN2DkZwM4oAmooooA80/aw/au+Ff7GnwoHxi+L1tr1xpsmtWWk2tl4Y0CfVL+7vLuYQwQw21urSSu7sFAUE811Pwk+Jej/GT4aaJ8U/D+ia3ptlrunpd21h4k0abTr+BGHCT206rJA47o4BFeFf8FYfCHwh8ZfsofZPjj4O+LuseH7HxXpmoyH4H2txL4hsbi3lMtvdQi2/fqqTLHl4fnUlTwoYjU/4JTL+0mn/BO/4Tr+142sn4hf8ACML/AG8fEjZ1Lb50n2b7Wev2n7N5Hm558zfnnNAH0HRRRQBW1nWNK8PaRd+INd1CG0sbG2kuLy7uJAscMSKWd2Y8BQoJJ7AV5d+yD+2x8B/25PAl98Sf2f7/AFu50iyvxbrc634au9N+1o0ayRXVuLmNDPbSowaOZMo4zg8EVd/bW+Gvi/4z/sb/ABZ+D/w+I/t7xV8NNd0jRMvtBu7nT54YRk9Pndea+P8A/g3o8NftD+Efgt438PfE3TfizY+C7G48PWngrTvjKs66pa30Wh2setxwLcfvEsF1BXWBR+6Cq3l/JigD9DaKKKACvnz4R/8ABS79nn4yftZap+xZonhr4g6R440yx1G+8rxT8PtQ0yzvbWyuUtp7i2ubiNY7iLzJECyRkq4YEE5FfQdfKH7Ofgfxn8Rv+CqHx8/ab8aeE9UsNJ8J+F/D/wAN/h/dalp8sCXsCo+rapc25kUCWJrm7t4fMTKlrMjOVNAH1fRRRQAV4F8av+CmH7JH7P37UPhn9kH4l+M9TtvGPih9PS1W18P3VxY2T388lvYJd3caGK1a5mikjiEjAuykCvfa/KD/AIKR/Bv44+Kv+CzXw/8AG/h34E+OtXmj1D4dt4B1nQNCkm8My2tprV/Nr767Ko8rzba1ljltDOd0bvuh+YmgD9X6KKKAP//Z", 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", "info": {"equation": "13+6*2=25", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "3138d27c8e73ba6a687562ed66573391169211052a924da571998e3ab4873bc3"} +{"episode": 51127, "episode_seed": 987793014, "split": "train", "timestamp": "2025-10-28T03:47:41.996844", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 987793014, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 0, 1, 8])", "action": "('move', [4, 0, 1, 8])", "reward": 0.0, "image": 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Eit4VvZAqKB0H6kkk5JJrz8ny+rhOK5051XNxhdt/auoqz1eiv36I+KxGfUHwXLCtzlKo1FQlb2dJRnz81P3m+d2cfhglGdRXlzHutFFFfoZ+dhWd4r8S2HhHQLjX9Rb93AmQo6ux4Cj1JNaDukaGSRwqqMszHAA9a+bf2pvj/YW3h+68Q2Gm3t/p+kRA2mnWsWZ9SvHYRxQxAAnfJI6RJ2y+eleLnubQyrBuS1qS0iu77+i/4HU7cDhHi61n8K3fkcJ4y0jXP2qvjLb/ALPkdy32PUY01b4l3sO1ha6NucJZD94rI93JF5AwGxAs54IU19j6Zpmm6Jptvo2jadBaWdpAkNpaWsKxxQxIoVURVACqAAAAMADArzH9kT4C6l8DvhtLP43mhuvGnii8/tbxrqELK6vetGiCCN1jTMEEaJDHlR8se4/MzE+q1OQZW8twf7zWpP3pPzfT5fnceYYpYmt7vwrRBRRRXuHCFfzL/wDBZbxp+0L4u/4KIfEaz/aGm1NZtI8Q3Vn4Ts9Qh8uODQlnc2JgUfL5bwlZNw++zszfMTj+mivBf2x/gT/wTq+Kev8AhvWf23tC+HkmpwpNB4ZuPGesQ2U0yb0aSKMvLGZ1DMh2fMFMnQbzn5/iPKqma4JQhU5LO+uz6a/ofr3gzx7hOAOJqmKxGDeIVSDiuRJ1I/avBPo7WkrrTW+ln+ff/BLb9pnxr4q/ZF0u6+P/AO23rmj6hZ6jNY6HZXfjqztHXS4Y4o4MpIDIQGEqhn+YhR1GCfSPiL8Hv+Cf3xA8D+OfiL8Utd8L+Lvttusvi/x1rPiC31LUYGCkW+LovmBlwFiiTYr7VTaw4P6W2ej6Rp1nDp+n6VbQW9vEsUEEMCqkaKMKqqBgAAAADgAV+e37Yn7Kv7OfxR+Onxq+LHxE+D2jaz4i0aOJdM1O+idmgEXh6zljGzdsba7Mw3KeT9K+O4gyPFZfl8alTEyqLmSs72Wj1+JnPguLsJmfFuJzCEJYSFWUp2oWv8Skob01a9m5a2klJQex9S/8E4fEXxq8V/sPfDjxB+0NDfp4tudBzqB1SzFvdSQiWRbaSaMAbZHthC7AgHcxyAcge21kfD5mbwFobMxJOkWxJJ6/ulrXr9Lw9N0qEIN3skrvd2W79T83zPFxzDMq2KjTVNVJykoR+GPM2+WPlG9l5IK5r4yeEvhR45+FXiDwr8dNM0i88H3elTDxHDrzItmLQKWkeVnIEaqF378jYVDAggEdLX5d/wDB0J41/aG8O/s8+BfDfw+m1SDwBrWrXsfj+exh/dPOn2ZrCCeQcqjH7SwU/KzRrnlVFcuaYyOAy+pXlHmUVt3vp92uvkfQcB8O1uLOL8HlVKuqEqk9KjduXlTldbe97toK6vKyutz7o/ZA+EX7F3wv+HV5ZfsU6J4Mj8NXmqNJf3Hg7UIr2Ga7VEBDzI8m51TZ8pb5QRwM8+sLaWqsGW2jBHQhBX83n/BGH43fE34f/tIyeAdO+POqeC/BGr2Fxd+K2ttegsYHkhgcWzl58qH810X5fmYHByoOP1q8DfH3wjB4hjstG/bQn8QXd+ptbfS7vx7Z3XnM5GAkcYDGTjA288mvk8NxpgaeGSdCUWukUuX5ar8j67xO8PcfwpxdUwlXG/WXJRnzybc3zaWne/vK3d3jyvS9l9u0Vx3wP1DxTqXgsT+J2lciYi0luM75IsDBOeo64Pcc812NfZ4LFRxuFhXSaUlez3PyitSdGq4N3sFFFFdJkFfPn/BVTxd8f/An/BP74l+LP2Yf7RHjOz0eJrCXSLfzbqC3NzCt5LEOodLUzuGX5l27l5Ar6DorHEUnXoTpqTjzJq63V1uvQ9HKMfDK82w+NnSjVVKcJuEvhmoyUuWXlK1n5M/lI/Yq8V/Hvw1+1z4D8Tfs4x39347HiaH+xo7O2FxLcSSErKrK2QyNG0gctgBCxJABI/q3r81/2Rf2XP2ePhp4u+DHxl8B/CLSNM8Vazrlk2pa7AjtPMZ9Ou5Jjl2ITe3J2gZ6dOK/Sivj+CKThgq0uZv37W6aJa/O+voj9c8bvEHL+P8AN8JWwuF9kqVNpylbnk5O9m19mFvd1+1J2V7BRRRX2x+JH8/H/ByD40/aG1X9vq78FfEybVI/BGlaTZyfDm2mh2WkkElrCbuaPHEjm6EyMx+YCNF+6Fz6N/wRY/aL8ezfAnXfB3xa/a61nwv4e8PX9vaeCtOk8Y2tiscbCWS5SNZgXZFZosfwruIXuB+h3/BSD4D/AAe/aD+KHw08IfGr4f2XiLTLXRvEN3b2d8XCxzrJpaBwUZTna7Drjnp0ru/+Cengrwh4H+Al54M8H+GrLTdJ0rxrrdrp2n2kAWK3hS9kCoo9B+ZOSckk1+azyrEYnimvRp15QdubmV72fL7u60V9PRH9C5z4q5TmHhFg+Hll8VUp8kXL3eVcl/3kdG+epb37pfFPV3PG/hr4q+Hvi7xVdXvhT41p461+W1hjnnk8SwaldpbRyOY4wIeVjEkzkfL96U88gV9YfAvwDH8Lvg94c+H0UszjSdKig3XBBc4GfmwAM8+ldTHbwRHdFAin1VQKfX1GTZDLKsRUrzrOpKaSu1+erufheMx6xVOMIwUUv67IKKKK+iPOCiiigDyD9p/w4L7VdC8UPoiyNp1vdQQ6gqsWgWZoTJGccBWMMR57oMV0P7Nvw/f4d/Dd7CUXCy6lrN9qk0dyAGje4naUrjAwBu4B59a76ivHo5RGjnFTH87bmkrW226/I7J4xzwccPy7O9/v/wAwooor2DjGzQxXEL286BkkUq6nuCMEVxHg74F6H4Q8T/8ACRx6pNcCIk2cEkYHlEggkkfePPHAx713NFcmIwGDxdWnVqwTlB3i+z/rubU8RWpQlGDspbhRRRXWYhRRRQAV/Mv/AMFlvGn7Qvi7/goh8RrP9oabU1m0jxDdWfhOz1CHy44NCWdzYmBR8vlvCVk3D77OzN8xOP6aK8r/AGhf2IP2Tf2rtZ0rxD+0T8CdC8V3+iRPFpl3qULeZFGzBjGWRlLpuGQrZAJbAG5s+DxDlFbOMIqVOfK0767P1t+B+s+D/iJlvhxxFUx2NwzrQnBwvG3PDW9481lZ2tJXWmt9LP8ANX/glt+0z418Vfsi6XdfH/8Abb1zR9Qs9RmsdDsrvx1Z2jrpcMcUcGUkBkIDCVQz/MQo6jBP1B4LsfAnxe0bxD4Y8CfE0eMLzxArwa7q9rrkOo3bvNb/AGdWkeLKqVhjVVyoG2LocE19q2ejaRp1nDp2n6VbQW9vEsUEEMCqkaKMKqqBgAAAADgAVPHDDFnyolXPXauK8WfB+JrQUKuMlKKto02tO15fcfMZ5xXh82zvE5hRwkaXtZykoxtaPM720ir+e132K2gaWmiaDZaLG7MtnaRwKzEZIRQuTj6Vboor7dKysfGhWJ8SPht4D+MHgTVfhj8T/Cllrmga3Zta6rpWoQh4riJuoI7EHBDDBUgEEEA1t0USjGSaaumXSq1aFWNSnJxlFppp2aa1TTWzXRnn/wCz/wDsq/s7fsr+FrvwX+z58I9I8LabfXpu72306E5nm2hd7u5ZmwqgAE4HbGTXeLaWqsGW2jBHQhBUlFTTp06UFCCSS6LRGuKxeKx2IliMTUlOpLVyk3KTfm3dv5hRRRVnOFFFFABTLprhbaRrRFaUITErngtjgH2zT6KTV1YFoz5l+FnwbhuPHnhbRLTRbjTbPwdqkd5DawRlUgEdvNDHE28E7dspwM5O0c9a+mqKK8nJcpjk+GlRU3K8nK7Vt7L9DsxuLeMqqbVrKwUUUV65xnwh488ZeJrv/gpV8R/Dvxj8R3lr/Z/h/S4fhHpOoOsNrc6RLaxzajcWgyPtExvYnWVvmZEgjB2qAT4/8Av2kdH1X44/GPTLf9tG90fwRZeKbVvCUdp4xsLK2e5mgaXUvIJBM8QnZCJMlfmOCeQP0M/aI/ZO/Zy/az0Cw8MftGfCLSPFllpV2brTY9SjbdbSlSjFHQq6hgeVBw21SQSq46nwJ8OfAfwx8GaZ8PPh94SsNI0PRbJLTS9MsbdUitoUGFRQP59Sck5Jr4mvwrjauZ1cTDEuClqmr82vTdaLpr20P0GvxRkU8nUI4a9d06dNpqKpw9nyXqQesnOpyLmvFW56nvS5tPlX4VfGy216STwz4C/aVufGV4kwuvKXxTb6hcxdEGBBzsyQMEEFm96+t/DcuqT+H7KbW4gl41qhuVHZ9oz+tWo7eCI7ooEU+qqBT69jKMnr5ZVnOriJVOa299LerZ8bjMZDExjGNNRt2/4ZBRRRXvHAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQB86ftpf8FUf2Nv2CPFOl+Bfj/401f+3dU0mfVl0bwz4ZvNWubTTITibULlLWNzb2yHIMr4Xg+hr3D4a/EnwH8Y/h9ovxW+F3iqz1zw54i0yHUNE1jT5d8N5bSoHjkQ+hUjryOhANfl1/wUl8MfGX9mX/gqR8Rf2s7n9mfx/wDEbwd8Wv2SNQ+HXhqbwB4Wm1iSy1/7SZEtLqOEE28EowfOb5AWOehr7G/4I2/s7fFP9lD/AIJifBv4A/Gyxaz8VaB4RRda095Q7WUsssk/2clSQWjEgQ4JAKkCgD6aooooAKKKKAOV+N3xo+Hv7PHwp1v40/FXVprLw/4ftPtGo3FtYy3MoUsqKqRQq0kjszKoVVJJYVx37Ff7bPwI/b9+C3/C/P2ddS1W58PDWbvSnbWdHmsLhLq2YLMjQzAOu1jjkdc+ldn8avixoPwL+Fus/FrxPoGv6pYaHai4udP8L6DPqeoTLvVcQ2turSzNlgdqqTgE9Aa/Pr/g2o8e6xo37NvjD9nrx38EviX4R8Q23xG8Q+J8+Nfh5qOk2s9hfX5a38qe5iRJJSpBaNSWUdRQB+ltFFFABRRRQAV8sX3/AAWV/YR0f9pLTv2X/EfjbxHpGtax4ok8N6NruseCNStdD1DV438t7KDUZYVt5ZRJ8nysRu4zX1PX5B/tMftHX/7dn/BU7wz8Mf2n/wBm742eG/gl8CfiHb3Xgqx0v4Maxer458URTNDHqVzexW5itdMgb5kw371W3swViFAP18ooooAKKKKACvG/2vf26fgd+xNo2mar8X7HxdqEusfaGsdM8F+Cr/W7sxQIHnneKzicxxRqylpH2qMjmvZK+PP+Cw/jj4Wr8FbX4N/GT4Z/tG6jo3iKG6ubfXv2edP1GW6t7uGIxpaXL6c3mqkwnYhJFMDmP5yNooA+gP2Vv2qPgb+2n8C9D/aP/Zy8apr/AIS8QRyNp2oLbvC26ORo5I3jkAZHR1ZWUjgivQ6+M/8AggH8Lv2ivgx/wSu+G/w1/ac+Hf8AwiviDS0vUstEn0+K1uoNNN1I1obqOIBVuGjIZyRuJOW+YmvsygAooooAKKK8v/bWsf2j9V/ZM+IWk/sgtZr8TbzwtdW/gmW/uVhiiv5E2JIXchVK7iwJ43KM0Acl+z3/AMFMf2Q/2pf2pviJ+x38EPiBca14z+Fqn/hL0i02QWcDLKsLpHcEbJWSUlGCk4ZWHY177X40/wDBGP8AZ2/bH/Zf/wCCuPinwr4z/wCCfM/w+8JL8CtE0LV9cPjj+1bVZLc+ab5b9bOKPUry6uCzzRIVaIysxLAYr9lqACiiigAooooA+XfjV/wVz/Zf+CH7RWvfstal4J+Kvibxd4XtrC48QW3gL4VarrkOnx3sZktmlls4XVA6q2M4+4w/hOPqGNxIiyAEBgCAwwa/HD/gsb8ONf0f9on4jfEj9iD4c/td6P8AtQeJL/w3b+FNc8BWd5F4O1iK1ESo1zND/oklukT3Kst2d6yE4ARjn9ePh8PGA8A6GPiGYD4gGj239uG1x5X2zyl87Zjjb5m7HtQBsUUUUAf/2Q==", 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", "info": {"equation": "4*3=12", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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"info": {"equation": "4*3=12", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "498f87f0ed7b56adddb64a377879369d2af6fb66b3c84d3f99ffb7475480a420"} +{"episode": 51128, "episode_seed": 3646425028, "split": "train", "timestamp": "2025-10-28T03:47:42.070704", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3646425028, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 1, 3, 4])", "action": "('move', [0, 1, 3, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "64+87=151", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "64+87=151", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "9d59e16b13ff15e90a10f0db6b55e4a067949ae2ab8f78a6e764ad5c6f63a804"} +{"episode": 51129, "episode_seed": 271538630, "split": "train", "timestamp": "2025-10-28T03:47:42.130920", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 271538630, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 0, 2, 8])", "action": "('move', [0, 0, 2, 8])", "reward": 0.0, "image": 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VYc6oU/hhp8+rCiiivpDzQooooA/n+/4OUPFvxx1T9v0+EviBLqKeD9K8PWcngC3mi2WrRSwRm7mixw7m5WRHY/NiJFPCrX6gf8EJNe+MXiD/AIJneAp/jJBdrLbLcW3hx722ETyaPG+20YAAFk2DCMRlkVTyME6f/BQ79n74LftDfFj4c+Hfjb8OdP8AEljp+h67c2VtqG/bFMbjSlLjYyn7pIwcjnpXsH7GFra2H7KfgGwsbaOGCDw1bxwQwoFSNFXCqqjgAAAADgAV8ZlmGlS4sxbc29E//ArO3y2R+18WeImX574V5Vw/SwahUw796elvdUo3jbW9S/NUvb3v5r3Xp1FFFfZn4oeJfHT4G/sDeOv2gvB3jb9oPw34BuPiTatCvgt/EGoQxajOY5i8SwwtIpuNspJUbXwxOOTXtJs7QnJtY/8AvgV/Mh/wVf8AiB+0LqX/AAUk+JGufGLVdYtNe0LxfPB4ZebdBJZaXDOzac1vtxsTyTHKrL95nL53MTX6m/s3ftJT+IPgR4K8U/GH9vHU7fxVeeHrO58QWk/xC0+HZdMgZ1aIL8nPVe3TivhocYYPD4qtCdBq0rXild20vLbX7z9y498Lcx4b4YynHVMxVdVoaQbdqd0p2pau8NdWlHWzt72n6SqqoNqqAB0AFLXlX7Nvi/xH4yF7rMutNqek3UCXFrfifzYpGf5gYnGVZWU5+U4xtx159Vr6rLMfDM8HHERi4p30fk7H4risPLC1nTbvYKKKK7znCv5rP+C4/i745eJv+CknxAsPjbLqKx6Tfi08IW17Fsii0YDdbGAD5SjhmcsPvOz5+bIH9KdfEn/BQj9nH4FfG/8AaFvfEfxc+F+l+IL3w78MrOXRZtRR2+yubrU3JChgrAtGhwwI+Xpyc/JcaUnPJ+fmtyyTt3vp+tz9d8GOOcDwHxTPGYrD+1jOnKGluaLuneN9LO3LLbR31tZ+1f8ABNTX/jH4o/YN+FmvfH63u4vFlx4TgOpC/tRDOyAsIHkQY2u0AiY5AJLEkAkivca5z4PMW+EnhZmOSfDliST/ANe6V0dfT4eDpYeEG72SV3u7Lc/MM0xkcwzOvio01TVScpKMfhjzSb5Y+SvZeSCiiitjhPgr/g4z8WfHLwr/AME77lPg9LqMWm6l4ntbHx5cadFkpo8kU+5ZGHMcT3Ato2I+8H2H5WIPxN/wa56/8Yrb9qjxx4b8OwXb+B7rwgs/ih1tg0Ed9HMBY7pCPkcq92FUH5gH4O3I/X39tnStO139kb4jaHrFmlxaXvhC9t7u3k+7LE8RVlPsQSPxryX/AIJ7fAj4O/s+fFPx54N+Cfw707w3plz4f0W6uLTTlbEsxudUXezOzMx2qAMngDjFfGZhhpPi7DT53rFv05U9PR9fmftmQ+ImX5b4QY/hqeDUqtWd1PS3vOPvS688Le415bW1+q6KKK+zPxMKKKKAPnex+FX9s/G6GxOkS2KWXi99dmFspCGQTSTFyWB+V3Yk+pJxivoiiivKyrK45XCpFTcueTlr59P+CdWLxTxUotq1kkFFFFeqcoV5h+09oQ1XQ9G1RtHW4Gmak88dzglrZ2heLcMcAFJHUk+o9a9PorhzLB/2hgZ4fm5eZWvvY3w1b6vXjUtexxH7PHglvAPwuttHkE4e61C+1CRLkAMjXV1LcFcYGADJgA84xnJrt6KK3wtBYXDQop3UUl9ysRVqOrVlN9W2Fcj8RvhFpfxD1C11K41OW1kgXy5TFGG8yPJOOehBJweRyeDXXUVOLweGx1B0a8eaL6enoOjWq0J89N2ZHZ2kFhaRWNrGEihjWONR2UDAH5CpKKK6ElFWRk227sKKKKYBRRRQB5D+0xoUt1r+g+Io9EEslpb3Ftb3aIzOvnPCzxccYYwxEdyV4rtvgn4JT4cfCTw94GjkmYaZpUUObgjfwOc4AGefSuoorysPlccPmlbG87bqJK3ay7/I6qmKdTCwo2+G+vqFFFFeqcp5l8Uf2NP2WvjV8V9C+OXxW+B+g674t8NeV/YmuX9sWmtvKkMsY4IDhJCWUOGAJOMZr0k2doTk2sf/AHwKkoqI0qcJOUYpN76b+vc6q+OxuKpU6VarKUaatFOTait7RTdoq+tlYRVVBtVQAOgApaKKs5QooooAK8I/aY8ESa/45aSLQ383V9CXTBeW6MXlQNMQncZUzSMOP4iTkV7vRXl5vlizbBPDufKm0777HVg8U8JW9olczvCGhR+FvCel+GYpHddO06C1V3ILMI41QE44zx2rRoor00rKxzN3YUUUUxHNfGPQU8UfC3XfDs2jpqEd7p0kMtm4YiVGGGGF5J25wB3xXB/sxeCpLLxDr/xEnE6vqVjZaeqyABGW3kupNy8ZJzcsCc4+UDgg17DRXl1ssjWzWljXN+4mrdHe+t/n+R1QxThhJULfE07hRRRXqHKFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRUGq2kuoaZc2ENy0LzwPGkydYyykBh7jOaAPnj9nf/AIKu/sRftS/tCan+zL8G/idd33iWwW+axkutCuraw1tbKbybw6ddyoIb0QSHbJ5TNt5PIBNfR1fip/wSt/Zv/aZsP2if2Qv2ePGP7N/jjwpefsk2XxIj+KHi7W/D8ttpF+2q3My2K6deN8l+LgSrK3lk7QDu6V+1dABRRRQAV4b+2z/wUT/Zg/4J+aV4c1b9pLxFq9knirU/sOkR6P4eub9i++KMvIYUZYYw80K73KgtIoGScV7lX59/8HH/AIt1aX9g2L4KeD/hH4/8XeIPFfi7RrzTbbwP4GvtYWGHTtWsbq5Nw9rG4t/3QYpvx5hVgucHAB+gasGUMOhGRS1zXwd+Jui/Gb4X6H8U/Dmi63ptjrunpdWtj4k0WbTr+BG6LPbTqskL8co4BFdLQAUUUUAUPFXifQ/BPhfUvGfie/FrpmkWE17qN0yMwhgiQySPhQScKpOACeOBXh/7IH/BTL9lL9t7xx4k+GHwV17xBbeJvCtnBfar4d8XeEr7Rr37DOcQ3kcN5FG0kD8YkAx8y+oz7V458UweBvBOseNrrSL/AFCLR9KuL6Sw0q0ae6uVijaQxQxLzJIwXaqDlmIA61+cv/BGb4o6x+1X+2X8WP21v2jPg38TfB/xZ8Z6Amm6P4a8UfDLU9J0rwr4SsrsC109L66hSK9vZZJRcSlT3IRQqNQB+l9FFFABRRRQB87/ALZv/BUX9kz9gnXrLQ/2i9W8U2aXFnFeX+q6N4J1DUbDR7WWfyI5766t4WitEaQFV8xgTtOBX0DpupWGs6db6vpd2k9rdQJNbTxnKyRsAysD3BBBr8yv+Di+wuPjn8Lov2b/AAP8Cv2g9e+JEVlb3/wyl+Hui3dx4T1i/mvoM22sbCbSVIfsqOUvVCqspMZO5q/ST4exeJ4PAGhweNbe1i1lNHtl1eKyUCFLoRL5qxgcBA+4DHbFAGxRRRQAUEhQWYgADkmivE/+CjfhD9pb4hfsR/EX4f8A7IUUL/ELXtAbTtD87VEsSqzyJFcMlw4KwSi3aYpIQdr7Tg4xQAv7Gv8AwUF/Zf8A2+YvG93+zD41uNdtfh/4sm8O6/evp0kMLXkYyTA7gCaMjkSLwQQR1r2uvzK/4N9fhZ+0l8E/i3+0z4D+K37Ev/CoPC8nj3T5fD1qviM31vG0OmW1qLS1k+zQi9hWKJHN4nys7Mm3cpJ/TWgAooooAK+c/iV/wVA/Z1+Gf7VU37HFz4Q+JWu+MrN9KGqnwl8NtS1Ww0xdRJFrJdXVtE0VsjAOS8hAAjck4U4+jK/Jb/gqh4A+IWlft2v4/wD2FPAn7TOl/tE694v8IQQ63oNrdx+ANW0W2Cic38sX+iSQxwS3SOtyfMWTOwbWyQD9aaKKKACiiigDkPj58evhL+zB8Hdf+Pnx18aWvh7wn4YsDd6zq13kpDHkKAAoLOzMyoqqCzMwABJFc/8AspftcfCb9sj4eT/Ej4SWfiWztbS/NneWHi7wpeaNfQSeWkilre7jSTY0ciOrgFWDAg187/8ABwT+zt8Yv2mP+CZfifwT8DtB1jVtb0rxHoeuyaR4dG7ULy0stQhnnW2X+OdY1aRE/iaMAAkgVR/4IbW/7Qcfw6+LFz8RJ/iw3w3n+J0zfBQfHB7pvEo0b7NF5puPtn+kiI3Pm+WJfmwGx8uKAPuWiiigD//Z", 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", 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", "info": {"equation": "17*1=17", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "17*1=17", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "a179df32e9d4ef4345cdd19c5af553ba72dae27af4c8c712d911625a258dd376"} +{"episode": 51130, "episode_seed": 2520985739, "split": "train", "timestamp": "2025-10-28T03:47:42.193161", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2520985739, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 6, 1, 7])", "action": "('move', [2, 6, 1, 7])", "reward": 0.0, "image": 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", 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", 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"info": {"equation": "3+0*9=3", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "3+0*9=3", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "ff17f14ca7277cda46c1c513acdae6604a5aab91058b12c1ed280e1a6f609837"} +{"episode": 51131, "episode_seed": 3007875270, "split": "train", "timestamp": "2025-10-28T03:47:42.288074", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3007875270, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 0, 2, 7])", "action": "('move', [6, 0, 2, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "20+17*10=190", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "20+17*10=190", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "162f9b3c1a9080c711d6eba2017c4a5dc7db54f5406487ad1ecc698d451b92ee"} +{"episode": 51132, "episode_seed": 1249472796, "split": "train", "timestamp": "2025-10-28T03:47:42.344077", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1249472796, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [1, 1, 0, 0])", "action": "('move', [1, 1, 0, 0])", "reward": 0.0, "image": 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", 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", 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bpPAPxF8J+D7+4u/hnoPxCnsfhdO5ElsliLeFrqC0myfOtYr5rqKNssAE2hiFwPrOvGP2BfCvhvwL+zdaeC/Buh22maTpXiXXbXTdPs49kVvCmq3QVFHYAfiepyTXs9fpOSwdPKKCbv7kXr5q/wCGx+O8S4+GZ57XxMI2Updd3ZKPNK28525pvrJthX86v/Bwn4t+OGu/8FIPEfh74rTaiuiaRYWieAra6i2W66a8KM8sAHDBrjzwz8ktHtJ+QAf0VV5p8f8A9jn9l/8AanvtF1P9oX4J6H4suPD0jvo82q25ZrfeVLLlSNykopKNlTjpXPn+VVc3wPsKc+V3T12fk/z9UfaeEnHuA8O+KnmeMw7rQdOUNLc0W7NSjeyvpyvVe7J+j/PH/gn/APtKeI/Fn7IXg3W/j3+3TreneJZLSaOe0uviBY20sduk8iW25HBcEwLGcv8AM2ctyTX3b+zL8QNd8e6our6X4xPiDRZ7Ak6ml6txDIVwiusifIWJUg7evzcZHHs0en2EUaxRWMKqqgKqxAAAdAKlREjXbGgUDoAMV52D4bxmHxVOrPGTkou9nez8vif5bHyud8QYfN8ficTTwsaSrTlJRja0eaTdlotFey22Fooor6w+ZCiiigD+f7/g5Q8W/HHVP2/T4S+IEuop4P0rw9ZyeALeaLZatFLBGbuaLHDublZEdj82IkU8KtfqB/wQk174xeIP+CZ3gKf4yQXay2y3Ft4ce9thE8mjxvttGAABZNgwjEZZFU8jBOn/AMFDv2fvgt+0N8WPhz4d+Nvw50/xJY6foeu3Nlbahv2xTG40pS42Mp+6SMHI56V7B+xha2th+yn4BsLG2jhgg8NW8cEMKBUjRVwqqo4AAAAA4AFfGZZhpUuLMW3NvRP/AMCs7fLZH7XxZ4iZfnvhXlXD9LBqFTDv3p6W91SjeNtb1L81S9ve/mvdenUUUV9mfih/MN/wVu8ZfHfxL/wUW+J118drjUk1XS/FNzZ6FFfReX9n0iOZjp4hUcCMwGOQEfeMjOcszGv1G+CHxy074l/s0eGf+Ggv259UGt694SgHi7TpfiRZWhMs0OJo2WPa0WQxBClWXPBBFd5/wUJ/Zy+BfxW+Onjv4l/En4XaXrWu+G/htZNoWpX8bM1oVTUpFKruCthwG+YHkV9nfEe1tf8AhUGvSfZoy3/CN3RyUHX7O1fmuEyXE4vMsZCniZQ5Za2v717vXVbH7zx54n5bxJwxk+CoYFU54eNnLTRpRjanZXUXbmd7O6Xa7+F/gH4S+Gfwd/bk+EOgfsgaPpukxeINH1BPH+leEIYms7vw1DYu9ne3gQkArem2SC4PzyfaJl3ON2P0Rr4h/wCCc37OXwL+AXxm0ef4NfC/S/D0mufDC7m1eWxRy906z6SVLM7McAu5ABABYnHNfb1e/wAGwcMlTve8pP06WX3X9Wfm/G2Z0cyzOmqcpT9nBRc52U5vmlLmlaUtubkj70vdjHXoiud+Lfhf4Y+Nfhhr/hb406dpV34SvNJnTxHDrbKtp9j2EytKzkBFVQWLkjbt3ZGM10VfnH/wcyeLvjl4b/Ym0XTPhtPqMHhfVvFC23j2ewj+U2+zdbxTOOUieYDPZmCKTyAfdzLFRwWAqV5R5lFbd/8Agd/I5uCchrcT8WYPK6Vb2Mqs0lP+W2t1t72nuq6vKyutz7Q/ZT+GP7KPw1+EMGgfsf6R4Ui8GS309xC/hO8ju7Sa5LBZXMyO/mPlQpJYkBAvAUAekxwQRHMUKKT1KqBX8+P/AAQ1+N3jjwn4u8X/AA71z9o/VPBXgYaV/aAt4vE1vp8EmqtLDGrKZwcuYVkyE6hF3dFr9Uvg/wDGYeILpvD/AMOv2jrrxreR3C3BiHieDUZos4QAiDkRn0YYyTXyeH40wUcPGPsJJ6K0UrfL9NPI+p8ROA8bwxxficDVxft2mpe0k3zvmSl797+9rrq+/Wx9f0UyAzNAjXCgSFB5gXoDjnFPr7lO6uflwV+U1t8V/E0f7Bfi7xd45+IOqQfF251PUDrMU4iOrQ+MxeN9ksI7U5+YSwW0cMKqc28aFQV+Y/qzXwH8fP2cvgXrv7WvjH9oHWvhdpdz40034l+HYrDxFOjNPAqw6Kq7Ru2ZCuwDbcjPByBXx3GWHlVw9CSm1aaWn97r6q2nqz7fg3MsrwftqWNpOSvComlFtunzfu3zWtCpz+81drli+SWxQ/4L7eNf2l9B/wCCWum3PhFNRtZtX1HTLT4ovp1uMw2EtrL56SFc+XE135EbbTgh9hO1iD8ef8Guev8Axitv2qPHHhvw7Bdv4HuvCCz+KHW2DQR30cwFjukI+Ryr3YVQfmAfg7cj9ff22dK07Xf2RviNoesWaXFpe+EL23u7eT7ssTxFWU+xBI/GvJf+Ce3wI+Dv7PnxT8eeDfgn8O9O8N6Zc+H9Furi005WxLMbnVF3szszMdqgDJ4A4xU47Cy/1twsud6xf/kqf59fmfcZL4j5fgfCTMeHJYKLqVp3U1bltJxd5Lfmhb3LeW3Lr9V0UUV9ofiAUUUUAfO9j8Kv7Z+N0NidIlsUsvF767MLZSEMgmkmLksD8ruxJ9STjFfRFFFeVlWVxyuFSKm5c8nLXz6f8E6sXinipRbVrJIK8O/4KTeJPip4Q/Ye+IXiL4M3mrWuu22lQ5vNBt/NvbSxa6hW+ngXBPmx2ZuJFIBZSgIBIFe40detehXpOtQnTTtzJq63V1a69DTK8ZHLszoYuVNVFTnGTi9pcsk+V76O1no9D8xPj78ZfBfgHxH8DNK+D37QMfhuG+11bZLrRNftIxL4Z+xyCeRppCwSLdBbhZAfmdSoJPFeo+G/iL8MfF3inT7T/hqY+M9RikkbSNM1DxtaXzRymJ1aSKKLDF/KaRc84Vm47j6c+Bv7GX7LH7NPiDXfFXwH+BugeGNQ8SuG1q60y1KtcYdnCjJIjTc7HYm1enHyjHpS2tqjBktowR0IQV8NR4Oxqw3spYtpO94pNx/9KV/PQ+mzfiDJ6lanHA0G4wXxzUYzk229VHmS5b8q953SvpflXGfs8eCW8A/C620eQTh7rUL7UJEuQAyNdXUtwVxgYAMmADzjGcmu3oor7fC0FhcNCindRSX3Kx8fVqOrVlN9W2FFFFbmYUUUUAFFFFABRRRQB5D+0xoUt1r+g+Io9EEslpb3Ftb3aIzOvnPCzxccYYwxEdyV4rtvgn4JT4cfCTw94GjkmYaZpUUObgjfwOc4AGefSuoorysPlccPmlbG87bqJK3ay7/I6qmKdTCwo2+G+vqFFFFeqcp+bj/ErS1tP2itV/aW+Ilzput2fjLXbTxEmrTRQTaXogVodIW2ibA8mSzaKSE4Imnnl5ZyQKv7Pn7QUPjX9nbwhqnxx/bq1JfEWq+F7WTxPYXXxC0+EGeSIGWN4go2ZzgrwRkjg19v/FH9jL9ln41/FfQvjl8V/gdoOu+LfDXlf2Jrl/bFprfypTLEOCA4SQllDhgpJIxmvSjZ2hOTax/98Cvh1wpjvrNWpHFuKk76Xu/8Wq1XzPvc24nyTF4SMcPhf3knGUuZRUYcseXkpWu+RtuTuovSEbNxcpeDfsreDtJ1Hxhb/EzQZg+m2XhiTTtMltJFe1mhuJLWUFHGd+FtkwQcYbnOQa99pFVUG1VAA6AClr6XKMtWVYGOGUua19bW3d9tT4zGYl4uu6jVrhWN8Qvh74J+LHgfVfhr8SPDFprWg63ZPaarpd/FviuYXGGVh+oIwQQCCCAa2aK9KUVJNNXTMKdSpRqKpTbUk7prRprZp9GjifgX+zj8Df2Z/Aa/DH4EfDLS/DOhLdyXR07ToTteeTG+RmYlnYhVGSScKo6AAdnHBBEcxQopPUqoFPopQhCnBRgrJdFsXicTiMZXlXxE3Ocndyk222+rb1b82FFFFUYhX5PXvxo1LRP+Cevjn4h/FP4q32l/FAXWqTeJbi+mhj1Kx8XJcu1varA2QhSSC3SGILj7PEjKCo3H9Ya8y1b9jP8AZa139oK2/aq1j4H6DcfEKzRFt/FMlsTcKViMSsRnazrGdocqWACgEbRj57iDJq+cQpKnU5OV3/4Pqraer1R9fwtneUZVGrDH0XNOUJrlUW26fP8Au3zWtCpz+81drli+SWx8haL8Y/h54j8EafYfE39tybUmu9Ktxr+j6j8RrBre4kaJTNDIiYyhbcCoI44zX1R+y/4NNtruvfEl2mzqthZWMe4Dy3SCS5k3rxk5NyQTkj5R6GvXvsVn/wA+kX/fsVIABwBXPgOG62EzCGKrYmVRxTsmu6tu5M8fF5pDEUp04UlBSd9Nt77WCiiivqTyAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKg1W0l1DTLmwhuWheeB40mTrGWUgMPcZzQB88fs7/wDBV39iL9qX9oTU/wBmX4N/E67vvEtgt81jJdaFdW1hra2U3k3h067lQQ3ogkO2TymbbyeQCa+jq/FT/glb+zf+0zYftE/shfs8eMf2b/HHhS8/ZJsviRH8UPF2t+H5bbSL9tVuZlsV068b5L8XAlWVvLJ2gHd0r9q6ACiiigArw39tn/gon+zB/wAE/NK8Oat+0l4i1eyTxVqf2HSI9H8PXN+xffFGXkMKMsMYeaFd7lQWkUDJOK9yr8+/+Dj/AMW6tL+wbF8FPB/wj8f+LvEHivxdo15ptt4H8DX2sLDDp2rWN1cm4e1jcW/7oMU348wqwXODgA/QNWDKGHQjIpa5r4O/E3RfjN8L9D+KfhzRdb02x13T0urWx8SaLNp1/AjdFntp1WSF+OUcAiuloAKKKKAKHirxPofgnwvqXjPxPfi10zSLCa91G6ZGYQwRIZJHwoJOFUnABPHArw/9kD/gpl+yl+29448SfDD4K694gtvE3hWzgvtV8O+LvCV9o179hnOIbyOG8ijaSB+MSAY+ZfUZ9q8c+KYPA3gnWPG11pF/qEWj6VcX0lhpVo091crFG0hihiXmSRgu1UHLMQB1r85f+CM3xR1j9qv9sv4sftrftGfBv4m+D/iz4z0BNN0fw14o+GWp6TpXhXwlZXYFrp6X11CkV7eyySi4lKnuQihUagD9L6KKKACiiigD53/bN/4Ki/smfsE69ZaH+0Xq3imzS4s4ry/1XRvBOoajYaPayz+RHPfXVvC0VojSAqvmMCdpwK+gdN1Kw1nTrfV9Lu0ntbqBJraeM5WSNgGVge4IINfmV/wcX2Fx8c/hdF+zf4H+BX7QevfEiKyt7/4ZS/D3Rbu48J6xfzX0GbbWNhNpKkP2VHKXqhVWUmMnc1fpJ8PYvE8HgDQ4PGtvaxaymj2y6vFZKBCl0Il81YwOAgfcBjtigDYooooAKCQoLMQAByTRXif/AAUb8IftLfEL9iP4i/D/APZCihf4ha9oDadofnaoliVWeRIrhkuHBWCUW7TFJCDtfacHGKAF/Y1/4KC/sv8A7fMXje7/AGYfGtxrtr8P/Fk3h3X719Okhha8jGSYHcATRkciReCCCOte11+ZX/Bvr8LP2kvgn8W/2mfAfxW/Yl/4VB4Xk8e6fL4etV8Rm+t42h0y2tRaWsn2aEXsKxRI5vE+VnZk27lJP6a0AFFFFABXzn8Sv+CoH7Ovwz/aqm/Y4ufCHxK13xlZvpQ1U+EvhtqWq2GmLqJItZLq6tomitkYByXkIAEbknCnH0ZX5Lf8FUPAHxC0r9u1/H/7CngT9pnS/wBonXvF/hCCHW9BtbuPwBq2i2wUTm/li/0SSGOCW6R1uT5iyZ2Da2SAfrTRRRQAUUUUAch8fPj18Jf2YPg7r/x8+OvjS18PeE/DFgbvWdWu8lIY8hQAFBZ2ZmVFVQWZmAAJIrn/ANlL9rj4TftkfDyf4kfCSz8S2draX5s7yw8XeFLzRr6CTy0kUtb3caSbGjkR1cAqwYEGvnf/AIOCf2dvjF+0x/wTL8T+CfgdoOsatreleI9D12TSPDo3aheWllqEM862y/xzrGrSIn8TRgAEkCqP/BDa3/aDj+HXxYufiJP8WG+G8/xOmb4KD44PdN4lGjfZovNNx9s/0kRG583yxL82A2PlxQB9y0UUUAf/2Q==", "info": {"equation": "76-76=0", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "76-76=0", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "bb4bbba5253ae5cfbfb47f7168c0adca62547d3b0b43cc9c7b0217dd2a024539"} +{"episode": 51133, "episode_seed": 1297719607, "split": "train", "timestamp": "2025-10-28T03:47:42.401570", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1297719607, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [7, 0, 2, 7])", "action": "('move', [7, 0, 2, 7])", "reward": 0.0, "image": 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", 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", "info": {"equation": "79+35=114", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", "info": {"equation": "79+35=114", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "f7210a69778edd01b490b575314a371ccfbd96c5b01e406b403b4e94956d1770"} +{"episode": 51134, "episode_seed": 2405013587, "split": "train", "timestamp": "2025-10-28T03:47:42.444305", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2405013587, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 0, 0, 4])", "action": "('move', [2, 0, 0, 4])", "reward": 0.0, "image": 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", 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", "info": {"equation": "6*12=72", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", "info": {"equation": "6*12=72", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "9849bf7ee1c275b83ff1918ef1664146cc2027508831ebc8a0eb7ecb38463b92"} +{"episode": 51135, "episode_seed": 1474527687, "split": "train", "timestamp": "2025-10-28T03:47:42.486272", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1474527687, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 0, 1, 0])", "action": "('move', [0, 0, 1, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "17-13=4", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "17-13=4", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "d716ed49c4d150a61ade175e3a4325909f504d899d8e9b0afc81860a4a86897c"} +{"episode": 51136, "episode_seed": 1945540773, "split": "train", "timestamp": "2025-10-28T03:47:42.560027", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1945540773, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 1, 2, 7])", "action": "('move', [6, 1, 2, 7])", "reward": 0.0, "image": 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", 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", "info": {"equation": "10+11*5=65", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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kUHxxfwRZN4uj1qDTI9fZWM6Wh0J2MQ52gEk8gZwSM4OK/OaODnHAUY+0emJt+Nr/AIX9Wz9wyXj7JckzHMalPBc0cTg6lNJqKtOo3OzS09mubk01lGEXaPwr6wrxP/gpBr/xP8LfsHfFjxD8GpLxPElp4IvpNOl09N08X7s+ZJGOu9Yt7AjkEZHIFe2U2WKKeJoJ41dHUq6OMhgeoI7iv0KvTdajKmna6av2utz8ayzGRy/MqGKlBTVOcZOL2lyyT5X5O1mfz4/8ESPGPjiez+KngW68R3X/AAjNl4Gv9QtdPaZfKt76UQxyTqDyrNHFGCemI1z0Fftr+yZ401Lxz4Wl1qLxi3iHSnt7f7FrJvVuVuGClWZZU+Vydo3FeM+ma8f+PX7OvwQ/Zl8GWXw/+Afw00zwto0+g+Jb6bT9KiKo9xItiHkOSSSQqjrwFAGAAK+t7NES0iVFCgRjAAwOlfDZBktfB5tOMqz/AHXLdK9pc0Xbr9npp9x9/wCJXF+C4xz6vmuGw/s4V3onbmXIoxu7aXla7s+u73JKKKK++PzI+Tv+C4HiD4oeGv8AgmJ8T9Q+FEt5HeyWFtb6lLYJukTTZbqKO86chDA0gcjohY8DJr50/wCDW7VfiLd/slePNK16K4/4Rq08cKfDsksACGZ7ZDdKjdWAIgJHQFj6mv0E/aa06x1j9nHx9pGqWqz2t34N1OC5gf7skb2sisp9iCR+NcB/wT9+F/w8+DXwr1/4dfCzwjZ6Hodh4vl+yabYqRHGXs7N2PzEkkszEkknmvnK9FviijU5n/Dlp00f/wBt+CP0vA8X4TDeFWL4ceGTqVMRCoqmmiUVp3uuWy6cs5bdfd6KKK+jPzQ/K/8A4On9e+J1h+z58MdA0GS8TwlqHim9bxGYY/3L3ccEZskkb/da7ZV6EoT1QV9bf8EbdV+Ims/8EyfhBe/E+K4XUl8MmG2+1QiNzYR3Esdi2B1U2iwFW6spB7103/BQH4WfDz4z/CLRfh18VPCdtreh33i+1N3pt2WEcpSC4dclCDwyg8HtXb/stWNlpf7OPgjS9NtI4La18MWcNtBCgVIo0iVVRQOgAAAHoK+bw9Fx4prT5nrTjp03t/7bf5s/S8y4vwmM8LMDw7HDqNSjXqTdTT3lJOy73fPaXlCG/Tva534swaZP8O9VGrNiJbYsrBQSJARsxnvux+ddFXjH7YXxIvPDvg2Xw/4btGu9T2LJBaL0muHby7aLODjdMyZOOBzyK787xMMNldVyV7rlS7uWiR+f4GnKriopaWd79ktTjf2Jdd8NeMvjX8QtXeMnUtHtrPStKeWOPDWSyTfaJIWDlmDXiSRSAquDaxdetfTNfMvhD4P3X7OHxi8B2nh6686Cz01tM1eeaSNWvbe6VWnlLeWMv9tijmwNnys/chT9NVx8NSVPL3hZK06TcZL53T+aZtma5sR7VO6mk1/l8iHUGuUsJ3slzMIWMIx1bBx+tfznf8EzvjF8YtJ/4KReIte+LHxk1bwfqevrrI+IurT6rDp87XAdpGilkmGEP2tYxsHORtHGa/o3rzL4UfCz9k7wt8ZfH/i/4O6F4Sj8c6zd2z/EaXR7qKW+84q7Q/ao1YmFmBdgCF3nLHceaeeZRWzSpRdOt7Nwb9dV01Wqt32bPu+B+NcLwxw9nOBq4P2zxdKMFKytC0mryunZe/df34wXW6+OfDOn/Ci2/aG+HXxc+CfjS38TfEDXfida2WqeKLXV4dT1HVLBrXZqFvcyoTm3isY1fYAFiMMLABmy36J18o2nwZ+FVp/wUmm+N1t4EsE8Wz65/ZsuvBD55tB4bDCLrtAyByADxjOK+rqw4Xw88NQxEJTcmqsld9bW1679T5viXMqePp4OMXJ8lJJuW6u2+SOr9yG0durtG9lHeWtpfWktlqFtHNBNGyTwzIGR0IwVYHggjIINec/stfDP9lf4bfCaHw7+yNpHhWHwc1/cTQnwpeR3Vo9yXxM3mo7hnDLtPzEjaF4AAHE/8FUvEHxQ8Lf8E7vi5r3wbkvE1+38ITmCXT4900VuWVbqRO4K25mbcOVxuHIFfkn/AMELfjLrXhvwX4+8EeLf2nNS8E+GrW+s7rRrCLxXbafFJeSrIty6iYEsdkVvnHAwO5qs4z7D5RjqcKlJyvFu6tda7K/prr2Ppsg4HxeceHOYZ7TxfJCjVpxdK7tPZczV7XXtPc0enPsfvWqqihEUADoAKWvLf2W/GGpeNvDNzrY8VNrmmSiFtP1b7Wtwlx8pDMki/K4OFJK8ZJr1KvYy7GwzHBxxEYtKV9Hvo2v0PzjE0Hhqzpt3sfm//wAHOmv/ABP0n9hjQNK8ISXieH9T8c28Pi1rZMo0SwyyW6SkdEM6Iw7F0TvgHw7/AIJoeP8Awf4//YA0H4aftC/tNTQaZLJeaafBN/42tbO1n0xZiqW8kGVkMT/OpUsN6kjlTz+l/wC3d8P/AAZ8VP2c774efEPw7Bq2iarrmkw6jptzu8ueP+0IG2ttIPVQeCOlcbpPw68CWn/BNfWPhra+E7KPQE8MaxpiaVHFiJbP7RcReSAOQvl/L1zjvXyOc5bWxmd1OSs4fuubTqk2uXdaPf8AQ/VMHxxg6Xhthch+rWq08U6ntVa6Tjo1s+dXtuvdjHXtU/4Jq2Vj4d/4Wp4F8B2sdv4H0Xx2kfhyys4ESysrqSyt5dRt7bZwI1undmQcJLJKoAwVH0/Xh/7A3w38B/CL4P6p8Ovhl4VtNE0PTPFV0lhplkpEcIaKF2xkkklmZiSSSSa9wr6TIIuGS4dXv7q/HX8Nj4DiXGU8dnlatC9rpXfxS5Uo80rN+9O3NLV+83q93+IP/B0l4o+K0P7T3w10C6ub2LwnaeDnvNBATEB1NruRbplP8UixpZ5B+6GXH3jn6V8E6t8GP2jfhb4L0z9pz9oCz+IGotodrqGpeFvFXjGyurWPUTYkXEptUKjfGr3GM5EYLMMFQw+3f2ivhj+yl8Rr7wZN+07o3hS6uNL8UwTeBz4nu44W/tY/6pLcO6+bK20fuhu37RlTgY43/goN8Hfhd8aPhl4a8BfFXwPY65o9x4zilm0+8VgjuljeshOwg8MAetfMZ5kWIvisYsQ1Fq/Kr62Wz1Xy0eh+k1ePcHj+G8jydYaVGWFdROtFLmfPLV09Y3dtZ3lG8upr/wDBPLVvE2t/sZeBNQ8UXt9dOdNmTTLvUk2z3GmJczJp8r/3i9mtu248sG3HkmvZ64z9nG3t7P8AZ88DWlpAkUUPhDTUiijUKqKLWMBQBwAAMYrs6+1wcXDCU43vaK176H5TmuKjjs0r4mMeVTnKVu3NJu3Ta9gryH9p7wI3jjUtF0z+znP2yC408XkAJkjWZoy6jqBwgbkfwHsDXr1FZZlgVmODlh3LlTa19Gn+hz4au8NWVRK9r/irBQenFFFdxgflrpPxxvdE0j4Ny+Jv2hdR8L+J9a1/XB8Qbp9YtbG7Ewhu5NQiuDLnyBHqC28YQAYwijjivp79luPwj8R/iHY+IvCvxSfxgdM1SS91LWl1uHUJGm+yPAiTSxfKMI6gLwcAfj7r4O/Zt+BHw/8Air4m+OHgz4W6Tp3izxkIh4m1y3gxNfiMYXfk4HQE7QNxALZIzXaxxRRAiKJVB6hVxXxeD4UxNCvCdTEtxjPm5bOzs7p77vq7H2PEHEOW5hXcsHh+RSi7tpJ3lKUmrR+zHm5I6q8Yp2jflTqKKK+0PjjyP9qjwSfG0Gk6YNOdzdRXeni6gUmSIXAjDKOoGdgPI6p9a9bjQRxrGDwoAGaWiuDD4FUMbWxHNf2nLp25Vb8TepXdShCnb4b/ADuwooorvMDE+JOljW/h9rejNp63a3elTwvasDiVWjKleOeQT0rl/wBmvwy+geCL3UJBKG1jV3vSsoxj9zFCMcdCIQefU9sV6HRXDPAqeYwxfN8MXG3q07/gbqu44Z0bbtO/oFFFFdxgcD+0bpf9o+BIJxpouDZ6pFOh2kmEhXXeMf723nsxre+FHhgeC/hnoPhQNIf7P0qCE+djfkIOuAOa6CiuGGBUMxni+bWUVG3azb/U3lXcsMqNtm3f1Cuc1H4baXqPxAtPH8t04ltodptwg2uwyFbPUYBPHsPQ56Oit6+GoYlRVWN7NSXqtmZ06tSk24u11b5M5zxh8N9L8Ya/pev3l08babLuaNVBEyghgpPb5gOfQke46OiiilhqFGrOpCNpTabfeysvwCVWpOKjJ6LYh1BrlLCd7JczCFjCMdWwcfrX86X/AATM+Nnxs0b/AIKM+JdR+Kvxt1rwde+I21dviTqE2sRafJJdI0kmyZphtVxdbQFAyMlRhSwr+jOuI8B/s3fAn4YfEXxV8W/AHwt0nSvEnjaeObxVrFrb4m1GSPdtZySQDlmJ2gbicnJ5rx87yevms6MqVV0+RvVXvqt1ZrXTvs2fo3BPHOB4VyDOMvr4VVpY2nGEW7e603vfpaXMrfbhH1XiX7KUfhT4hfEGy8WeFfiY3i4aXfz3eoa4usw37y3Bs2tgk0sXy5EciALwcIvvn6kpscUUQ2xRqo9FGKdXVlGWSyvDSpSqObcnJt73dvN9u58DjMUsXVUlHlSVrEd3aWt/ay2F9bRzQTxtHNDKgZJEIwVYHggg4INcf8EP2dvgh+zb4FT4Z/Av4aaX4a0JLuW6Gm6dCQhmkILyEsSSTgDJPRQBwAK7SivTcIOak1quvXUzjicTDDyoRm1CTTcbvlbjeza2bV3Zva7tuIqqihEUADoAKWiiqMD5x/4KAeINa0fXPhJYXGrXFl4bv/HkketSRlVhmul0+5awgmc/dRrkKVH8UqRLySAfmD4J/HLwJ4n0nxNp3in9sGVdI/4T7WbbSfD9x41sbe1n08XbBY/JGGeFnMoBzl1wckEGv0J+Lnwg+Gfx6+HepfCb4w+DLLxB4c1eNE1LSb9CYpwjrIucEEFXRWBBBBUEVe8H+BfB3gDwppngbwX4as9N0jRrCGy0vT7WALHbW8SBI40HYKqgD6V8pmfDuKx+YyxEMQ6acUtL39N1p19T62jnuWUsgp4Z0L1ou12o8vLzSlzX+LnblyvSyjFau9o8v+zj4Yfw54CmupRKH1bVJb5llGMblRBgYHBEYPPr6YrvqKK+hwWGWDwdOgnfkSV+9kfL16rrVpVGrXdz8RP+Dojxj8X9M/an+GOmpqOo2nhnT/CTah4clhzHGuq/bHFzIjjkyqiWfuoKkY3HP1n+z98WtL+I3g/wS3jr9qO48WeLbrQrS5ufD9/4ws7pl1J7MeeUtoQG8xd8wwM7QW444+0/jB+zl8Dfj/deHrz4z/DHSvEcvhPWU1Xw6+pQlzY3aYIkXBGegypyp2jIOBXZLa2yNvS3QEdCEGa+YxvC+JxuNrVViXGNS2iu76Ws9UrLpvofpuceIOAzHgzKcmp4NRqYNVOaenvc8rrl0ur7zvvLVGP8NfDi+D/h3oPhNGkI0zRra1BlxuPlxKnOABnituiivrqcFTgororH5dJ80mwoooqxBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXjfx2/b2/Zi/Zv+O/gP9nD4teOZ7DxV8RrgReH7aHS55oY98yW8L3U0alLVJbiRII2lKiSVggya9kr8zv8Agqr8E/jf4x/b+8O6Z4E+D3ijXrH4p+HPAWiaX4l0fSXnsPD9xoPjlNbv5L6ZfltE+xMZI2fAkeIouWwKAP0xooooAK8u8AftifA34mftO+Nv2Q/CGs6hP40+H2lWWoeJraXSJ4raKG6z5XlzuoSY8fMEJ2ngnIIHqNfF3gf4rR3f/BdLxv4cX4WfEGK0k+Buj6BF4pufAl/Hoct/bX1/qEsaaiY/s7gQXkABDYMm+MfMhFAH2jRRRQAyeeK1ge5uJAscaFnY9AAMk15D+yN+3Z+zt+27Z+J7j4D69q00/g/Vo7DX9O17w9daZd27SxCa3m8m6jRzDNEwkikA2uvIr164mW3t3uHRmEaFiqLkkAZwAOp9q+If+CN3xO1D9ofxN8dP2pPiL8LfH/hDx1498cW02q6D418CX2jRaXo1pFLZ6PZW8l1Ei3rrbQPPPLHkLLeFeAFyAfcNFFFAHM/GT4teEfgT8L9a+Lvjsag2k6DZG5u4tI0ua+u5RkKscNvArSTSMzKqoilmZgAKx/2Y/wBpb4S/te/BPR/2gPgjrF1e+HdbNwls1/p8tpcQzQTyW88E0Eqq8Usc0UkbIwBDIaj/AGr/ABXofgv9m/xnr3ijwz411fSxoU1vqdl8OLeeXXfs0+IJZbJbZlm86NJGlUwnzV8vKZYAHxX/AIIpeBvH3w4/4J0eDfCnj7wdr2gmPV9en0DTvFll9n1gaPNrF5Np8moIQGF49q8Mkpcby7kv8xagD6sooooA84/a1/av+Cf7EfwA179pj9obxJLpXhPw4sB1G6t7R7iUtNPHBEkcSAtI7SSIoUDPOegr0Kyu4NQs4b+2JMc8SyRkjBKsMj9DX5//APBxj8GP2pPjZ+xgNF/Z8+BP/CxNK0u01q/8UaBbawLa7ST+yp7eyuoIRFK988MlxJMtqihpJI4sMpXn7m+FV14ovvhf4bvfG/hpNF1qbQbN9X0eK9FytjdGFDLAJgqiUI+5d4Vd23OBnFAG/RRRQB478TP24Pg78LP2ofDH7IeseH/Geo+L/FWmwahat4e8GXt/YWFrNcS28c17dQo0dnGZIZBulKj5etexV8A/8FDvCXjH/h5b8CfHH7PnhT40w/EeXXPD9hquueHYJx4MuPB8eoXkur2+qSJ+5MqQyyMiTfNvkgMWTvx9/UAFFFFAHk3gv9tf4A/EL9qPxL+yB4Q1zU73xh4RsVn154tBuf7Nt5CkMjWn27Z9na6WK4gkaAPvVJVYjrj1mvzF/YZ+DH7Uvwf/AOC1vxdilsfidb+Edf8AEni3xB4rl1Uz/wDCIXlhero0mhSWG79y1+JBqMcxT94Eh2v8ojr9OqACq+r6nDouk3WsXMM8kdpbvNJHbQtJIyqpYhEUEuxxwo5J4FWKKAPEf2N/2/PgZ+3HL4usvhDovjTS77wPf2tn4k0rxx4LvNEu7WW4hM8IMN2iOd0eH6dGU9GGfbq+Yf8Agl14M8Xf8IP8Uv2h/iJ4W1PSNb+Lnxr8Q+IBY61YyW13DpdvOulaYkkcoDoDY6dbyKCBxLkcEV9PUAFcT+0b+0L8Lv2VPgtrvx++M2r3Fl4c8PQRyX0tnYyXU7tJKkMUUUMQZ5ZZJZI40RQSzOoHWu2r5k/4LF+EvGnjn/gnP8QvC/gfwXrPiCa4bSW1PS/Ddk1xqjaWmrWcmoSWMagsbyO0W4khKfOJY0KfMFoA9h/Zs/aM+Fn7WXwW0X4+fBjVrq88Pa6s4tWv9PltLiGWGeS3ngmglVXhljmikjdGAKshFd1Xy/8A8EbvCXi/wR/wTz8F+HfF/grXfD4j1PXZdE07xXZNb6v/AGTLrN7Lp82oI4Di8ltHglmMn7xpJGZ/mLV9QUAFeO/tift4/s0/sIeHNB8UftI+MrrSrbxHqzWGmLYaTPeyHZE009w6QIzR28EStJLMwCRoMsRkV7FX54/8HEPwE8efGL9n/wAM33wXT4gnx4ya/wCFvDkPgfwKNdhv49c0uSxuLG+y6/2fBMuwfbzlYNhJGWWgD9C7e4gu7dLu1mSSKVA8ckbAq6kZBBHUEU+sD4VeFr7wN8L/AA34J1S5Wa50fQLOxuJlORJJFAkbMCfUqTW/QB//2Q==", "info": {"equation": "10+11*5=65", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "4ce75d99226a7f0cf285f564f48531d213ca8b9e24132a7e98d3ca476783f26d"} +{"episode": 51137, "episode_seed": 2291133973, "split": "train", "timestamp": "2025-10-28T03:47:42.632125", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2291133973, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 6, 0, 0])", "action": "('move', [6, 6, 0, 0])", "reward": 0.0, "image": 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", 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", "info": {"equation": "7+98=105", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "7+98=105", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "c45fd3fe3eb4a5bceea8451b518a0a9af150b7e62060e8b3eea12a0469a39628"} +{"episode": 51138, "episode_seed": 3775782638, "split": "train", "timestamp": "2025-10-28T03:47:42.697765", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3775782638, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 0, 2, 8])", "action": "('move', [0, 0, 2, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "11*3=33", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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LfTdJ0rxLrtrpun2keyK3hTVboKijsAB9T1OSa9nrsyWDp5RQi3f3I/ir/hsjw+Ns6o8RcW43MqVJUo1akpKK6a9bdXvJ9ZNsKR0SRDHIoZWGGVhkEUtcR8aviHD4U0N9BsZG/tHUISsO0D92hOGc/qB7/SujHYyhgMLOvVfuxX39l6vY+doUZ4iqqcN2fLv7W3j7/hW2kanYfDGG6vNW1e+msPDNvZ28UkwcRvLNLHG8sayCGGOaQAuAxjQHG6vqb9nXRfhl4f8AgR4R0v4MyRSeFl8P2r6HPCVP2iB4w4mYj7zybi7t1ZnYnkmvnf4J/BnUPjA/iL9pC+tpVXTjcaJ4Bt3cc2sMwW/utvlhlaeeHYnzHMdtGwwJCD3n7FB1jwJP4g+Ekxjfw+dRl1bwntkRTZRzsJLmy8sIuFW4eWVDl/km25XywD8Pw1N5djuTEQUPrC5ov5v3fue3p3PczNLE4e9OV/Zuz/z/AK8z3+iiiv0M+dPjL/gvf4v+Ofgz/gm34r1D4GTajDJc39raeKrrS4t0sGjSF1uSSPmRCfLR2XojtnCliPyE/wCCLfxj8e/D79pi58HWfx11LwV4P1jSJ5/FEtrrsNhDK8Mb/ZizzZXcJJABt+YhiOmcf0fa3peja3ot5oviKwtrrT7y1kgv7W8jV4ZoXUq6OrcMpUkEHggnNeSfsb/B79hv4XeCtWg/Yg0fwQuh3uqBtZufBuqRX8cl0sa4SSZJJDuVGUhC3yh8gDeSflM4yHEZjmdOvTr+zsrdbr/Dqt766n7Xwn4lYHIfDDMeHquX+1nWldVLLlXMkl7RtN80OW9PfXta7+Ute8MfskfHvxANS+LPxV0L4o3mm6PdR20XjDxda6ommWbAG6kiiDBIAQE3z7QwCJ867RXvf/BJe+8SXX7HVjY38t5N4d03xJq1j8O7q+t1jefw3DdOmnOMY3x+SAEc/ejVDkghjjf8FCv2d/gh+0D8Wfh14d+NHwz03xFY2Gh67c2dtfBwsUpuNKUuNjKT8pIwcjnpXsX7GFpa2H7KfgGwsbaOCCDw1bxQQQoFSNFXCqqjhQAAABwAK4MhwNTB8R4inOq5uMVdvrez11e2y1Pj8xzujX4QpYRc0pSnfllbkpKPPpT1bvPmvL3YJWtaV7r06iiivuj4Q8S+OnwN/YG8dftBeDvG37QfhvwDcfEm1aFfBb+INQhi1GcxzF4lhhaRTcbZSSo2vhiccmvaTZ2hOTax/wDfAr+ZD/gq/wDED9oXUv8AgpJ8SNc+MWq6xaa9oXi+eDwy826CSy0uGdm05rfbjYnkmOVWX7zOXzuYmv1N/Zu/aSn8QfAjwV4p+MP7eOp2/iq88PWdz4gtJ/iFp8Oy6ZAzq0QX5Oeq9unFfDQ4wweHxVaE6DVpWvFK7tpeW2v3n7lx74W5jw3wxlOOqZiq6rQ0g27U7pTtS1d4a6tKOtnb3tP0lVVQbVUADoAKWvKv2bfF/iPxkL3WZdabU9JuoEuLW/E/mxSM/wAwMTjKsrKc/KcY2468+q19VlmPhmeDjiIxcU76Pydj8VxWHlhazpt3sFfnH/wcyeLvjl4b/Ym0XTPhtPqMHhfVvFC23j2ewj+U2+zdbxTOOUieYDPZmCKTyAf0crnfi34X+GPjX4Ya/wCFvjTp2lXfhK80mdPEcOtsq2n2PYTK0rOQEVVBYuSNu3dkYzTzLCyxuAqUIy5XJWv/AF07+R9BwTntHhjizB5pVo+2jRmpOHfpp/eV7x/vJH4If8ENfjd448J+LvF/w71z9o/VPBXgYaV/aAt4vE1vp8EmqtLDGrKZwcuYVkyE6hF3dFr7s8e/D79h/wCNVr4j8bfGjx94d+Ic8Xh8Qav4g8T+KLbU7jStOViVEThgtookJYMgUs7YJOcV9s/sp/DH9lH4a/CGDQP2P9I8KReDJb6e4hfwneR3dpNclgsrmZHfzHyoUksSAgXgKAPm7/goL+zX8BfjV+0JfeIfix8KtJ1688PfDOzm0aa/jYi2c3WpuSFDBXBaNDhgw+Xpyc/nea5Bisuyb2s8S5RVvdV+XV9NfPsfpHEHHuC4m8Ra2Z06NTBxlo3BL23upL3lzQXNJpX958umkmtfcv8AgnNrnxU8SfsP/DXWfjQt9/wkM3hxPtD6paCC5ltw7raySxgDbI9sIXbIByxyAciva65z4PMW+EnhZmOSfDliST/17pXR1+mYeDpYeEG72SV3u7Ldn45meLjj8yrYmMFBVJykox2jzNvlXkr2XkFfyofG34x/tVad+2hr3xh+IvijXdL+LOneMHmur6X9xeWN/FJsRFXoioFVFQfIEAUZWv6r68S1/wCBv7A+pfth6d8T/EfhvwC/xtW0WXTnudQhGsyRJA6LMtsZN0hWFXAk2EhU4ICDHh8Q5RVzaFJQq8nLLr1v28109Xqfq/g/4i4Lw/r5hPEYF4n21KyslePLd2lfalK/7x6/DF2Z8qXvj/4P/FH4XQeDfjj+2hNrVlquk26eJ9A1L4m2a212xRGmgmEJQmMuGVkDAMuVOQSD0n7GPhXwd8L/APgope+Dv2a/D9hpfh/U/ho9z8UtK8O2EKWFrexXES6PJJ5YxBcSRSX2EG3fGgcqc7z9P/tr+H9E1v8AZH+I2i6tpUE9peeEb2C6geMbZI3iKspx2Kkj8a8o/wCCe3wH+Dn7PfxT8eeDvgn8O9O8N6Zc+H9Furm105GxLMbnVF3szszMdqqBk8AcYr56GVYjA8SYWFTESqNqTu730T01b0fU+cwXEGHhw/jY8slzpxVJW9ledk5y1+KFk4JQfvRi3Jctn9WUUUV+hn58FFFFAHzvY/Cr+2fjdDYnSJbFLLxe+uzC2UhDIJpJi5LA/K7sSfUk4xX0RRRXlZVlccrhUipuXPJy18+n/BOrF4p4qUW1aySCiiivVOUK8w/ae0Iaroejao2jrcDTNSeeO5wS1s7QvFuGOACkjqSfUeten0Vw5lg/7QwM8PzcvMrX3sb4at9XrxqWvY4j9njwS3gH4XW2jyCcPdahfahIlyAGRrq6luCuMDABkwAecYzk129FFb4WgsLhoUU7qKS+5WIq1HVqym+rbCuR+I3wi0v4h6ha6lcanLayQL5cpijDeZHknHPQgk4PI5PBrrqKnF4PDY6g6NePNF9PT0HRrVaE+em7MitbK2s7KPT7eILDFEI0QdAoGAPyrkvBHwZ0bwT4mn8R2uoST7lZbWF4wBArYzyPvHsOnB7nmuyoqa2BwlepTqVIJunrHyCFerTjKMXpLfzCiiiusyPjL/gvf4v+Ofgz/gm34r1D4GTajDJc39raeKrrS4t0sGjSF1uSSPmRCfLR2XojtnCliPyE/wCCLfxj8e/D79pi58HWfx11LwV4P1jSJ5/FEtrrsNhDK8Mb/ZizzZXcJJABt+YhiOmcf0gaxpGleINJutB17TYL2xvrZ7e9s7qISRTxOpV43VshlZSQQeCCRXA/s9fsj/s2fso6DqHhn9nj4PaR4VstVu1utSi0+JibiVVCKXeRmYgDoM4GWIALHPyub8P4rMsxhiaddwSVtL3XpZre+uq+Z+z8K+KGV8P+GuYcNVsCqlTESbjPTl95RV5315qfLena+ttrXfzL4E8dfD3xl4vh/sf9og+O9bitJI7G3uvFttqM9vCzxtKIo4cEBmjh3HB+4nTv9cfBPwSnw4+Enh7wNHJMw0zSooc3BG/gc5wAM8+ldKltbxNujgRT6qoFPrpyfIp5ZialepWdSUkldrt53dz8pxmPjiqcYRgopdv+GQUUUV9CeceZfFH9jT9lr41fFfQvjl8VvgfoOu+LfDXlf2Jrl/bFprbypDLGOCA4SQllDhgCTjGa9JNnaE5NrH/3wKkoqI0qcJOUYpN76b+vc6q+OxuKpU6VarKUaatFOTait7RTdoq+tlYRVVBtVQAOgApaKKs5Qr84/wDg5k8XfHLw3+xNoumfDafUYPC+reKFtvHs9hH8pt9m63imccpE8wGezMEUnkA/o5WN8Qvh74J+LHgfVfhr8SPDFprWg63ZPaarpd/FviuYXGGVh+oIwQQCCCAa4sywksdgalCMuVyVr/106PyPp+C8/ocLcVYPNq1FVYUZqTg+q8r6cy+KL6SSZ+A//BDX43eOPCfi7xf8O9c/aP1TwV4GGlf2gLeLxNb6fBJqrSwxqymcHLmFZMhOoRd3Ra/THwRqfgL4o32q6X4W+NZ8daxqGnLZ3VyfEkGpXcNt+8VEHk/cQNNIwyv3nPJ6V9VfAv8AZx+Bv7M/gNfhj8CPhlpfhnQlu5Lo6dp0J2vPJjfIzMSzsQqjJJOFUdAAOzjggiOYoUUnqVUCvkIcG4qWGVGri3y9YpNx+V5fp8j6nj/j/AcW8W4jNsLhFSjOyV7czskuaVlbmdtbN9ru1yj4Q0KPwt4T0vwzFI7rp2nQWqu5BZhHGqAnHGeO1aNFFfdpWVj8wbuwr+VD42/GP9qrTv20Ne+MPxF8Ua7pfxZ07xg811fS/uLyxv4pNiIq9EVAqoqD5AgCjK1/VfXmWrfsafst69+0Fa/tVax8D9BuPiFZoq2/imW2JuF2xGJWIztZ1jO0OVLABcEbRj5/iDJq+cQpKnU5OR36/fp1XT1eqP1/wj8Sst8Oa+OnjMH7dV6aitrpq/uu/wDy7nf37Xfux91nyHo/xj+HfiPwVYWHxM/bcm1JrvS4Br2j6l8RrBre4kaNTNDIiYyhbcCoI44zX1P+y/4NNtruvfEl2mzqthZWMe4Dy3SCS5k3rxk5NyQTkj5R6GvXvsVn/wA+kX/fsVIABwBXPgOG62EzCGKrYmVRxTsmu6tu5M/NsXmkMRRlThSUFJ3023vtYKKKK+pPICiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooqDVbSXUNMubCG5aF54HjSZOsZZSAw9xnNAHzx+zv/wVd/Yi/al/aE1P9mX4N/E67vvEtgt81jJdaFdW1hra2U3k3h067lQQ3ogkO2TymbbyeQCa+jq/FT/glb+zf+0zYftE/shfs8eMf2b/ABx4UvP2SbL4kR/FDxdrfh+W20i/bVbmZbFdOvG+S/FwJVlbyydoB3dK/augAooooAK8N/bZ/wCCif7MH/BPzSvDmrftJeItXsk8Van9h0iPR/D1zfsX3xRl5DCjLDGHmhXe5UFpFAyTivcq/Pv/AIOP/FurS/sGxfBTwf8ACPx/4u8QeK/F2jXmm23gfwNfawsMOnatY3Vybh7WNxb/ALoMU348wqwXODgA/QNWDKGHQjIpa5r4O/E3RfjN8L9D+KfhzRdb02x13T0urWx8SaLNp1/AjdFntp1WSF+OUcAiuloAKKKKAKHirxPofgnwvqXjPxPfi10zSLCa91G6ZGYQwRIZJHwoJOFUnABPHArw/wDZA/4KZfspftveOPEnww+CuveILbxN4Vs4L7VfDvi7wlfaNe/YZziG8jhvIo2kgfjEgGPmX1GfavHPimDwN4J1jxtdaRf6hFo+lXF9JYaVaNPdXKxRtIYoYl5kkYLtVByzEAda/OX/AIIzfFHWP2q/2y/ix+2t+0Z8G/ib4P8Aiz4z0BNN0fw14o+GWp6TpXhXwlZXYFrp6X11CkV7eyySi4lKnuQihUagD9L6KKKACiiigD53/bN/4Ki/smfsE69ZaH+0Xq3imzS4s4ry/wBV0bwTqGo2Gj2ss/kRz311bwtFaI0gKr5jAnacCvoHTdSsNZ0631fS7tJ7W6gSa2njOVkjYBlYHuCCDX5lf8HF9hcfHP4XRfs3+B/gV+0Hr3xIisre/wDhlL8PdFu7jwnrF/NfQZttY2E2kqQ/ZUcpeqFVZSYydzV+knw9i8TweANDg8a29rFrKaPbLq8VkoEKXQiXzVjA4CB9wGO2KANiiiigAoJCgsxAAHJNFeJ/8FG/CH7S3xC/Yj+Ivw//AGQooX+IWvaA2naH52qJYlVnkSK4ZLhwVglFu0xSQg7X2nBxigBf2Nf+Cgv7L/7fMXje7/Zh8a3Gu2vw/wDFk3h3X719Okhha8jGSYHcATRkciReCCCOte11+ZX/AAb6/Cz9pL4J/Fv9pnwH8Vv2Jf8AhUHheTx7p8vh61XxGb63jaHTLa1FpayfZoRewrFEjm8T5WdmTbuUk/prQAUUUUAFfOfxK/4Kgfs6/DP9qqb9ji58IfErXfGVm+lDVT4S+G2parYaYuoki1kurq2iaK2RgHJeQgARuScKcfRlfkt/wVQ8AfELSv27X8f/ALCngT9pnS/2ide8X+EIIdb0G1u4/AGraLbBROb+WL/RJIY4JbpHW5PmLJnYNrZIB+tNFFFABRRRQByHx8+PXwl/Zg+Duv8Ax8+OvjS18PeE/DFgbvWdWu8lIY8hQAFBZ2ZmVFVQWZmAAJIrn/2Uv2uPhN+2R8PJ/iR8JLPxLZ2tpfmzvLDxd4UvNGvoJPLSRS1vdxpJsaORHVwCrBgQa+d/+Dgn9nb4xftMf8Ey/E/gn4HaDrGra3pXiPQ9dk0jw6N2oXlpZahDPOtsv8c6xq0iJ/E0YABJAqj/AMENrf8AaDj+HXxYufiJP8WG+G8/xOmb4KD44PdN4lGjfZovNNx9s/0kRG583yxL82A2PlxQB9y0UUUAf//Z", 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", "info": {"equation": "11*3=33", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "435aaaf8ee3b0f33edc8d32bc42f7fb9e0cdb3512d4fa514b0a2fb4f64606b8e"} +{"episode": 51139, "episode_seed": 1757134432, "split": "train", "timestamp": "2025-10-28T03:47:42.785939", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1757134432, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 0, 5, 1])", "action": "('move', [3, 0, 5, 1])", "reward": 0.0, "image": 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", 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VX/w38PX3jqBotbm0O0k1mJ4whS6MKGUFRwpDluBwK3KKK+hiuWKR+d1ZqpVlNJK7bstl5LyP5w/2Hfif+0Tc/wDBWe4j8feI9Wt9Z8T+Nb6H4j2V0wja6aKZ5TDNGeB5dzFEVVeV2ADC5FftB+xF4zvtY1GXw3o3jV9VttO1jV4tVsxfrMNOY3czLCyr/qiMrhW+bDehrc+Pn7OfwO+HP/CQ/HDwP8MtK0zxb4z8R6IvifXbWEie/EV5EE3nOB0BO0DcQC2SM13v7LCIvwO0kqgBN1fkkDr/AKbPX59gMhxGGz1U5V37q59L6rnfuvXru/Nv1P1jxH48wHG2Jp47DYRUYxpQpcunxRjdy06K/LHryxje2y9Dooor9CPyQwPiteeLtP8Ahd4lv/AEDS69BoF5JokSRB2e7WBzCAp4YmQKMHg1+KH/AAbO+KPjNqf7ePxDbUptRubDVfB9zdeNbm7hLFtQF7GYXmdhuWUvJc8dTl8jg4/c6vkz9g74PfC/4afHPxh4n8A+CLHStR8V2t5f+I7y2VvM1C5/tOX95IWJ5+dsAYA3HA5r5vNqLnnOClzNe9LT/t2/6W9D9L4S4wwmR8FZ3lNTDqpPFxpqMtPd5ZO9766X5o22kl6r6zooor6Q/ND5O/4LgeIPih4a/wCCYnxP1D4US3kd7JYW1vqUtgm6RNNluoo7zpyEMDSByOiFjwMmvnT/AINbtV+It3+yV480rXorj/hGrTxwp8OySwAIZntkN0qN1YAiAkdAWPqa/QT9prTrHWP2cfH2kaparPa3fg3U4LmB/uyRvayKyn2IJH41wH/BP34X/Dz4NfCvX/h18LPCNnoeh2Hi+X7JptipEcZezs3Y/MSSSzMSSSea+cr0W+KKNTmf8OWnTR//AG34I/S8DxfhMN4VYvhx4ZOpUxEKiqaaJRWne65bLpyzlt193plzFbzW8kN2itE6FZFfoVI5B9sU+uP+NvjCHwt4LmtVlK3Ooq0EBAHygj52PsFJ/EivZxuKpYLCTr1Phim/+B89j85oUp1q0YR3bPnfwHrfg/Vv2zfC3gC+Ektppdte6lp8skMZjbUGjlS0jfL7lf7NHfygBT9wHIwM/XFfG1p8KfENj8INF+POlQGHxD4g8Qx+JbQXMijyvKdDYQEmL92r2MaxPlSVM0nPOa+wtMv4dV0231O3BCXEKyoCQcBgCOnHevneE28Ph54SpHlnFqVvKaTX3bfI9LNl7SpGtF3i9Pmnb/gk9fz5/wDBS/4l/HnQ/wDgunc+INV8V6louoaN4s0e08LaiXSD7DpLRxBWheQbFjKzTsXPG55CcHOP6DK8y8UfC39k/Vv2n/D3xL8XaJ4Tk+LVjoU0Phq5vLuIasNP/eCQwxFtzxjzJQXCnbvcZGTXo57llTNMNCnCpyNSTv8A11108z7Lwz4zwvBWY4zEV8J9YVXD1KSVk7OVnd3+xpaf919dn8MftDf8M9+PPAfiX4nzfG+Pxx4x8L+HJpvB2tXHiq21PUdDvFkWS0exWMjypnvFtQCq7pHEcZLA7T+knhKbW7nwpplx4mh8vUpNPhbUIwoG2cxqZBgcDDZ6V8t/8FAvgv8ACj4i/Fjwf4r8c+AtP1PUfCmj3F94cu7qMlrC5N7afvUAIBb5FPzA4KgjmvrSvO4dwVTBY/F051HNpw1fX3b33fe2/Q8HOs0pYzI8HQjzXi6j12jdpKMNXp7vM9I+87Jac0ivMvhR8LP2TvC3xl8f+L/g7oXhKPxzrN3bP8RpdHuopb7zirtD9qjViYWYF2AIXecsdx5r0fUGuUsJ3slzMIWMIx1bBx+tfzpf8EzPjZ8bNG/4KM+JdR+Kvxt1rwde+I21dviTqE2sRafJJdI0kmyZphtVxdbQFAyMlRhSwrszzOaOUVKLqU+ZSb1W6sunnr91z6HgfgrFcUcPZzjaOL9isLSjJwu7VbycuWVnsuTTR+/yH9GMcUUQ2xRqo9FGKdXz1+yL8R5PG+rrb+GfjBL400y1imjvNSfW4r/Y+d6q8kPyhwWGAcHae/FfQtd2VZnSzbDOvTi4q7WvkfnmLwssJV5JNN2voFcl8fdR8d6R8CfGurfC2CWXxPa+EtSm8ORQQiSR79bWRrcKh4ZjKEwp4J4rraK9CceaDV7XIw9VUMRCo4qXK07PZ2d7PyezPxA/4NevEnxZvv2ufifbzzX1xoWoeDhd+KLmePeG1MXqfZmkkbkSMsl6cfxYcn7tft/Xyb/wTs+D/wAL/hV8QfFmp/DrwRZaRceJtKt9S1+e1Vt19dtd3WZXLE88nAGFGTgDJr6yr5/ham6WTQTd9Zf+lNfpc+/8VOKsLxnxnWzPD0PZRlGmraXfLBJt20v0X91I+cf+CgHiDW9H1z4SWFxq1xZeG7/x5JHrUkZVYZrpdPuWsIJnP3Ua5ClR/FKkS8kgH5Q/ba+I3xrvf+CJnxR174fatqF3plz8QNRsrTU7WBCZvDT6uySsrJ963LNJGJBndD3KndX23+3f8P8AwZ8VP2c774efEPw5Bq+iarrmkxajpt1u8udBqEDAHaQfvKDwR0rj9H8BeDLL/gmpq/wws/DVrF4eTwxrGlppEabYVs/tFxF5AAOQvl/L1zjvXDjsLKed4i02uag/lrb9L/NlcO8R5ZlGHy/Ezw/PUoV4NpqPLKEJupe+/PLm5dVZRitXe0fmv/g2C1X4iXn7D3ibTvE0U40Cz8ezr4YkmgCqVa3ha4CN1dRKSe4DMwz1A/SavEP2Bvhv4D+EXwf1T4dfDLwtaaLoemeKrpLDTLJSI4Q0UDtjJJJLMxJJJJJr2+vZyGLjk1BXv7qf36/hseNx7ndDiTjLHZnRp+zjVqOSjpotru2nM7Xl/eb1Z8W/tzeNodD/AGjPE1n8SvGFzpWgWnwRe48P+a6Rw7nubpdTmhLf6ydAmmArztDx8fvOfjv/AIOJfF/7RN3+xr+zdp/jtNTgs9W0kXfjyOW1ESHX1sLUxpMF4SQeZfER9OHwPl4+6/8Agpr8HPhb8Xo/C3/CzvA1jrY0HSNc1LSFvlYi2u0W02SgAgEj0bIPcGus/b9+E/w3+N/wk8KeAvi34PtNe0a58XwSz6ffbvLd0sL1kY7SDwwB618xmGFk55o+d/DB/he34W9GfacGcY5Rw3neT5jPDc7pSfOrR2UHTTp+b5vaS5re+lZ9SD/gk9q3xG1v/gnD8HtR+K0VwmsN4NgTF1AI3a0RmS0YgetqsBB6sCCeTX0NXGfs428Fp+z54GtLWBIoovCGmpFFGoVUUWsYCgDoABjFdnX2uDjyYSnG97RWvyPy/OsbHMs4xOLjBQVSpOaito80m+VeSvZBXkP7T3gRvHGpaLpn9nOftkFxp4vIATJGszRl1HUDhA3I/gPYGvXqKyzLArMcHLDuXKm1r6NP9Dkw1d4asqiV7X/FWCiiiu4wOK/aA0sar8M7mM6ctyILq3uCCCTGY5VcOMd1IB9OtW/gn4XPg74X6ToTeaGWOSdxMPmVppXmIPAxguRjrxzXVUVwrApZk8ZzauCjb0bdzd128MqNut7/ACsFFFFdxgFeQfs/+Azo/wAQ9f8AER057MQRvZLbqCIwXuGmbGeSc4PXow9RXr9FcOJwKxOLo13K3s3J273VvwN6dd06M4W+K3ys7hRRRXcYGJ8SdLGt/D7W9GbT1u1u9Knhe1YHEqtGVK8c8gnpXL/s1+GX0DwRe6hIJQ2sau96VlGMfuYoRjjoRCDz6ntivQ6K4Z4FTzGGL5vhi429Wnf8DdV3HDOjbdp39ArnPiF8ONO+IUVlHfXrwfY7jflEB3ocbk56ZwOa6Oit8ThqGLoulWjeL3X4mdOrOjNTg7NGF4/8DWfjzw7/AGBPdtbbZVkimRA2wrkdD14JH41raVp1vpGmW+lWgPlW0CxR567VAA/lU9FEcNQhiHXUffaSb8lt+Y3VqOmoN6LUK/n3/wCCk3xW/aE8L/8ABda78SXXjXVtA1LSPFGlWHhjU0nW2Nno0kUa5id/kWJo5rgsx+UmSQtzmv6CK4nXP2b/AIFeJvjdpP7SGv8Awu0m78daFpj6fpHiaaDNzbWz+YGjU5xjEsgyQSBIwBGTXmZ5ldbNcPCnTqcjjJO/p+q3R+heG3G2C4GzHF4nE4ZV1WoVKSWmjla17/ZdrS62el9n8v8Aw5vfAnxl8WN4X8P/ALQM/jq/nEcTM/iq21GeytvNUsVEQ+RCQpZmBGVHNfa1Mjt4IjuigRT6qoFPoyfKJ5WqjnVdSU2m299Fbuz4bGYtYrlUYcqj0/qwVxHgP9m74E/DD4i+Kvi34A+Fuk6V4k8bTxzeKtYtbfE2oyR7trOSSAcsxO0DcTk5PNdvRXsShCTTau1t5ehjSxOJoU506c3GM1aSTaUkmmlJLdJpOz6pPdDY4oohtijVR6KMU6iiqMAoPTiiigDyD9m/wINA8V6/rg06SzVIY9PS2CkRoEllkIXPJx5nr0xXr9FFcOW4FZdg44dS5rX19W3+pvia7xNZ1LWvb8FY+cf+CgHiDWtH1z4SWFxq1xZeG7/x5JHrUkZVYZrpdPuWsIJnP3Ua5ClR/FKkS8kgH5g+Cfxy8CeJ9J8Tad4p/bBlXSP+E+1m20nw/ceNbG3tZ9PF2wWPyRhnhZzKAc5dcHJBBr9Cfi58IPhn8evh3qXwm+MPgyy8QeHNXjRNS0m/QmKcI6yLnBBBV0VgQQQVBFXvB/gXwd4A8KaZ4G8F+GrPTdI0awhstL0+1gCx21vEgSONB2CqoA+leFmfDuKx+YyxEMQ6acUtL39N1p19T6ajnuWUsgp4Z0L1ou12o8vLzSlzX+LnblyvSyjFau9o8v8As4+GH8OeAprqUSh9W1SW+ZZRjG5UQYGBwRGDz6+mK76iivocFhlg8HToJ35ElfvZHy9eq61aVRq13c+Lf25vHNt4f/aM8TW3xN8ZT6T4esvgi91oBnkSODLXN0NTmiLcSTIsemgjnaHj4/ec8R+z38WtK+I3gzwQ/jf9qS58WeLLrQrO5uPD+oeMLO5ZdSezHnFbaEBvMXfMNoztBbjjj7U+MP7OPwM/aAuvD178Z/hjpXiOXwprKar4dfUoS5srtCCJFwRnouVOVO0ZBwK7JbW2Rt6W6AjoQgzXy+N4XxONxtaqsS4xqW0SburWs9UrLp5H1dbiDLP7Lw9KlQ/exS5m1FJcqsuRq7974p3t7219zH+GvhxfB/w70HwmjSEaZo1tagy43Hy4lTnAAzxW3RRX19OCpwUV0Vj5CT5pNhRRRViCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACvG/jt+3t+zF+zf8AHfwH+zh8WvHM9h4q+I1wIvD9tDpc80Me+ZLeF7qaNSlqktxIkEbSlRJKwQZNeyV+Z3/BVX4J/G/xj+394d0zwJ8HvFGvWPxT8OeAtE0vxLo+kvPYeH7jQfHKa3fyX0y/LaJ9iYyRs+BI8RRctgUAfpjRRRQAV5d4A/bE+BvxM/ad8bfsh+ENZ1Cfxp8PtKstQ8TW0ukTxW0UN1nyvLndQkx4+YITtPBOQQPUa+LvA/xWju/+C6Xjfw4vws+IMVpJ8DdH0CLxTc+BL+PQ5b+2vr/UJY01Ex/Z3AgvIACGwZN8Y+ZCKAPtGiiigBk88VrA9zcSBY40LOx6AAZJryH9kb9uz9nb9t2z8T3HwH17Vpp/B+rR2Gv6dr3h660y7t2liE1vN5N1GjmGaJhJFIBtdeRXr1xMtvbvcOjMI0LFUXJIAzgAdT7V8Q/8EbvidqH7Q/ib46ftSfEX4W+P/CHjrx744tptV0Hxr4EvtGi0vRrSKWz0eyt5LqJFvXW2geeeWPIWW8K8ALkA+4aKKKAOZ+Mnxa8I/An4X618XfHY1BtJ0GyNzdxaRpc19dyjIVY4beBWkmkZmVVRFLMzAAVj/sx/tLfCX9r34J6P+0B8EdYur3w7rZuEtmv9PltLiGaCeS3ngmglVXiljmikjZGAIZDUf7V/ivQ/Bf7N/jPXvFHhnxrq+ljQprfU7L4cW88uu/Zp8QSy2S2zLN50aSNKphPmr5eUywAPiv8AwRS8DePvhx/wTo8G+FPH3g7XtBMer69PoGneLLL7PrA0ebWLybT5NQQgMLx7V4ZJS43l3Jf5i1AH1ZRRRQB5x+1r+1f8E/2I/gBr37TH7Q3iSXSvCfhxYDqN1b2j3EpaaeOCJI4kBaR2kkRQoGec9BXoVldwahZw39sSY54lkjJGCVYZH6Gvz/8A+DjH4MftSfGz9jAaL+z58Cf+FiaVpdprV/4o0C21gW12kn9lT29ldQQiKV754ZLiSZbVFDSSRxYZSvP3N8KrrxRffC/w3e+N/DSaLrU2g2b6vo8V6LlbG6MKGWATBVEoR9y7wq7tucDOKAN+iiigDx34mftwfB34WftQ+GP2Q9Y8P+M9R8X+KtNg1C1bw94Mvb+wsLWa4lt45r26hRo7OMyQyDdKVHy9a9ir4B/4KHeEvGP/AA8t+BPjj9nzwp8aYfiPLrnh+w1XXPDsE48GXHg+PULyXV7fVJE/cmVIZZGRJvm3yQGLJ34+/qACiiigDybwX+2v8AfiF+1H4l/ZA8Ia5qd74w8I2Kz688Wg3P8AZtvIUhka0+3bPs7XSxXEEjQB96pKrEdces1+Yv7DPwY/al+D/wDwWt+LsUtj8Trfwjr/AIk8W+IPFcuqmf8A4RC8sL1dGk0KSw3fuWvxINRjmKfvAkO1/lEdfp1QAVX1fU4dF0m61i5hnkjtLd5pI7aFpJGVVLEIigl2OOFHJPAqxRQB4j+xv+358DP245fF1l8IdF8aaXfeB7+1s/EmleOPBd5ol3ay3EJnhBhu0Rzujw/Toynowz7dXzD/AMEuvBni7/hB/il+0P8AETwtqeka38XPjX4h8QCx1qxktruHS7eddK0xJI5QHQGx063kUEDiXI4Ir6eoAK4n9o39oX4XfsqfBbXfj98ZtXuLLw54egjkvpbOxkup3aSVIYoooYgzyyySyRxoiglmdQOtdtXzJ/wWL8JeNPHP/BOf4heF/A/gvWfEE1w2ktqel+G7JrjVG0tNWs5NQksY1BY3kdotxJCU+cSxoU+YLQB7D+zZ+0Z8LP2svgtovx8+DGrXV54e11Zxatf6fLaXEMsM8lvPBNBKqvDLHNFJG6MAVZCK7qvl/wD4I3eEvF/gj/gnn4L8O+L/AAVrvh8R6nrsuiad4rsmt9X/ALJl1m9l0+bUEcBxeS2jwSzGT940kjM/zFq+oKACvHf2xP28f2af2EPDmg+KP2kfGV1pVt4j1ZrDTFsNJnvZDsiaae4dIEZo7eCJWklmYBI0GWIyK9ir88f+DiH4CePPjF+z/wCGb74Lp8QT48ZNf8LeHIfA/gUa7Dfx65pcljcWN9l1/s+CZdg+3nKwbCSMstAH6F29xBd26XdrMkkUqB45I2BV1IyCCOoIp9YHwq8LX3gb4X+G/BOqXKzXOj6BZ2NxMpyJJIoEjZgT6lSa36AP/9k=", 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", "info": {"equation": "1+11*9=100", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "1+11*9=100", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "c90a1677e79bb3f913db5eb7c5378bf773e628e5fb1e89630784a11bcf8c9bfa"} +{"episode": 51140, "episode_seed": 1164500331, "split": "train", "timestamp": "2025-10-28T03:47:42.858156", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1164500331, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 4, 1, 7])", "action": "('move', [0, 4, 1, 7])", "reward": 0.0, "image": 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", "info": {"equation": "9+9*2=27", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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tpokKuiNDtV03AlWIPU192/tS/B39if4par4Ouv2vNA8E3l5p+sY8FHxdfRQO147RkxQCR185mKR5i+YNhcqeK3f2qtH0rUv2Y/iLp9/p0MsFz4G1aKeN4xh0azlVlPsQSK+HxfDWKqYzEYiOKcVLWyve1tparRbLfQ/a898ScFmvBOS5PTwPs54S96tkrtaXpve8n79TVfvEtep8y/sB+GPCPw5/bc8c+B/gDoFjpvg6f4d6fe+MNO0KxhTT7TXBdMlmQYxiOeSy80vGMZSOFyAWDP8AblfMP/BO74JfCX4Ba/478DfBnwDYeHdJeDSbl7LT1ba8zG8DSMWJZmIVRkk8KAOBX09Xr8Kw5Mio63vd/i9D874uzClmOdyqU+ZqMYx5pW558sUuaVm1d9ruySXM7XZX8tHxo+Mv7WGi/t8eLvib4i8Va1pPxQ/4Sy/tL+6kZYLiBm32zW+G+RYvIPlBT8gjwB8uK/qXrxj4xfsnfs4ReIvF37VMfwd0UfEOXwdf2j+K/s5+1GL7G8XXO3d5YEe/G7Z8uccUcQZRWzWFL2dTk5Hf/g+q6er1PsfC3xDy7gH+0VisGq/1ml7OO2j192V/+Xc7+/a792OjPAPDfji38H/Guz0qD4iHSLrVfAllBY6SNUSE6kVnnY7Yzh5XjA42cqHbPWvtHwNca1deD9OufEKML17RDcbxhicdSOxIwSPXNeD/ALHCI3xI1VmQEjwJouCR0/fXtfRtebwdgKlPBxxbqtqaaUeitJ+f6LdnwGcV4yrOjyq6e/V6BXh3/BSrxN8YvBv7BvxT8T/AJ75PFll4Tnk0yXTIt9zCuVE0kQ671hMrAj5gVBHIFe40EBgVYAgjkGvrq9N1qMqadrpq63V1v8jkyvGRy7M6GLlTVRU5xk4y2lyyT5X5O1n5M/mw/wCCL3xP8T+A/wBrG40+H4zXngvw/q3h+5/4SXUrbWYLESiJS1urTTAjPnMuAOTk9s1+inx/8KfsefE/4c+Nvib8Q/ifpvjfWtO8LFU8Vah4jttU1PRxHvezW0Kn9w/2kgxoigyyttO/dtr7b/ZW+DX7Enwv/wCEq/4Y/wDDvgi1+3a1/wAVd/wiN7Dcbb1N2Iptjv5TJufEXyhdzYUZNeA/8FEv2f8A4KfEv43ah8QPH3w00zVtZ8LfDa0n8PX93Gxaxk+06m+5QCFJ3IjDcDgqCK/Msx4exOX5RzyxLlFNe6r8urtda/Pbc/b+KfEfA8U+In9q08PUwsVCKfLZVZcqv72qS5naN7ytBRfLK3KfV/7PupfEPWPgJ4I1f4uWskHiy68IabN4nhmgETx6i1rG1yrIvCESlwVHA6V19FFfqEI8kFG97H4RiKqr4idVRUeZt2Wyu72XktkFfNX7Zni3RvhrPqXi3SrQ3V+llEsenIEH2q/lcRW0K5ZQWkkeNTkj72c19C+KvEuneEdCn1/VGPlQKPlX7zsTgKPck18veH/AOpftLfHu8m1lJP7N8G2h1WSQsFSfXLlXSzQgxncsEHnSNhhhp4DgkcfJcVP66qeX0oqVST5vRRT1+ey+Z6WUr2LliJu0Vp6t/wCR63+xHp/hOy/Zf8KXHhOZpvt1m93rF1NAkc0+qSSu180yozBZftPnKy7m2lduSFFerV8//sjxa14G+IPivwPKF/sXWbn+17CHeitZ35wl5FsCA7ZCscwOWO8z525XP0BXtZLjKWOyynUpq1lZrs1o1/XQ4sbRnQxMoy1637phX4Lf8HN3ij4y337bmieE/F81+ng7T/CUE/g2B49tq0kjH7XKhHDSeYiKxPzAJGOBjP7018q/8FGPgN8HPj1448BaT8Zfh3p/iO10vRtdvNPt9RVikM4l0xd4CsM8EjByD3FefxbSdTI6jTtytP11Ss/vv8j9C8IuL8JwTxrSzLE0Pax5Zxsrc0eZfFG+l9LPVe7KR8t/saftAr8QP2QfBl3+0R+21qP9saloLR67o+qfECyhEkBkkRIpYz84DW4jDBjuIYknJNfd37K3haGCfW/iDbO7Q6vZ2NrbMpBieKA3Dq6ED5gftJGckHAx0Oer/Z4srP8A4UB4G/0SL/kTtM4EY/59Iq7UAAYAwB2FY5Zw9WwuMp4uriZVOVOya7q27b/qx8rnmeUs0xeIqU6EaSqzlLljtG8nLlWi0Wy8gooor6s+cPH9U+Df7El5+17ZfFPV/D3ghvjUmj5sZ5r6EaybMRvF5q25fcyiPzE83YSFBXdgYHri2tqjBktowR0IQV/MX+0j8Y/2qdB/4KheKfid4g8X61o3xJ074izwWt+8i289kiymCCNN3yJELcoig/IYzzlSSf2c8E/HTwmfE0dhoP7Z114hu7wNb2+k3Hj2zuvOZv7kcYDl+ONpz1r4WHGWDoSqxlQafM9ra+ctrPvuftHiL4aZhwtQyydXHrEKtRTV23yWs+WGr/d+97j0v72iPtyisX4eXOt3ngnTbrxEH+2PbgzGQYY8nBYHoSME+9bVfa0Kqr0I1ErcyTs91dX1PxqpD2c3Hs7Hkv7eXiD4ueFf2Mvib4k+A4vP+EvsvBl9NoLadD5lwk4iJ3RL3dRuK4BOQMAnAr8AP+CO/wAXvHvgT9sCPTrT436n4P0DX9Muz4x1CDXYrJbhIoZJIDJLPlS32gpg/e+dgOGav6Wa+If+Cb/7P/wV+EfxX07xF8Nvhrpmj3/ib4dXV3r93bRsZL2b7RprbnLk4+aRzgYGWPFfIcSYKris1wkYVXBy5lddLK91qt9mfr/AvH2A4b4EznJ62DVWeJUeWTtZXXL719fc+OFr2nfbcj8Hy+AvjRdar4V8O/HSTxzquraZ9gubg+J7fUbq1tX3qAoiGEQNIzZK4yeT2r7ggiEMCQg5CIF59hSR28ER3RQop9VUCn17GTZNPKpVZTqupKdrtrtfzd9z8rxuNWLUUocqjfbz+4KKKK9w4Svq730ek3UmmJuuVt3NuuM5fado598V/NL+w94//at1D/grp4K8ZXr6zcfEu/8AiiI/Fq3NpuugskzRaoksbDCKlsbkMMARqhxt2jH9MVfEPgL4DfBvR/28k+PmmfDrTovGepfFLVrS+8RBWNxLALK9XZyxVRtjQEqASF5PJz8lxPh5VcRg5KTX7xLTztr6q2nqfr3hfx5geDstzjDYjCKs8TQcYt20aUlyyv8AYlzXklreK06r7eooor60/IT+f/8A4OUPFnxovP8AgoRH4e8aXGoReGdI8MWUngON0KQCORFa6miI4Zzcq6s33v3SDoq19h/ss/tBWvxB/Za8Hah+0P8AttX82tav4bjPifRtW+IFjGkwfcDDNFwwDRFQykhsMckHNffXxz/ZP/Zw/aYv9A1P49fB7RfFNx4XvDdaDLqtuXNpKShbGCNysY0yjZVtoyDiu/NnaE5NrGT/ALgr4yvwvjK2PrV44pwU3fS9/R6rRbLfQ/YeI/EzLM64FynIqeBUamDTUp6Welvd0b9/46l7e+lvueU/su+ERYnXPHu6UjWltII92PLZIBKQ6cc5M5GckfKMdDXrVAAAwBRX0uW4JZdgYYZSvyrfa+tz8lxNd4mvKo1a4Vm+MdPGreEtU0s2KXIudOniNtJnbKGjYbDjnBzjj1rSorsnHng43tcxi+WSZ43+y74F/sjWtZ8Xtbzw+bp1ppkcMibUCwPO/AIzkGUqeewHXNeyUUVw5XgI5ZgIYZS5uW+u27b/AFN8VXeKryqtWv8A8MFeHf8ABSrxN8YvBv7BvxT8T/AJ75PFll4Tnk0yXTIt9zCuVE0kQ671hMrAj5gVBHIFe40EBgVYAgjkGuuvTdajKmna6aut1db/ACNsrxkcuzOhi5U1UVOcZOMtpcsk+V+TtZ+TP5tf+CLvxd8a+Af2pLrw7b/HPUvBfhfWtFuJfFF1ba9DYxztCjG2LyTZUsJZMDHzEO3YtX62+CE8C/G+51Pwp4a+N0njfUtWs47G/vh4kt9Rura2JkCLmIYjRTJKw3LjLMSSOB9M/Av9kz9m39mb+2/+FCfBvRPC3/CR3wu9b/su22/apRu2k5Jwq732oMKu44Aya9BjggiOYoUUnrtUCviKHB2KVCNOrinyp35Uny736v8ATc/TPErxGy/jbimeaYTCeyi4Rir25nZfFKyeuvKtX7sY+ifRRRX3h+SmV418J2fjbw5P4evZmiEuGSZRkxuDkHB6/T0NN8D+ELLwP4ch8P2UzSiMlpJmXBkcnJOB09APQDr1rXorm+qYb619Z5ffty38r3sae2qey9lf3b3t5nJ+H/hJo/h/x1deN4L6R2nLtDbMgCxM5+c57+3pk9e3WUUUYbCYbBwcKMeVNtv1e4Va1StJObu0rBXxT8dPHdzpv7eHjey+L/i5tN0jSfh5pk/gyDU7hLeyGnO0z6pdRsxAdxNFAszHlEjhztUgt9rV578fv2Uf2cv2prTR7H9oX4QaN4si0C9N3o6atAX+zSsAGK4IyrBV3Icq21cg4FcGe5bVzXL3h6c+V3T8nbo/63se5w5mOX5djJ/XYt05xcW4pOcfejJSipNK/u8r1Xuylr0fwV+x/wDtH6XefADwnrvjb9ufVbW8jjlMFhqHjjT7UiyjupVs1kt9oMebVYNyHB5OcHNfev7O2veIfEXhm61LVr+S7tJJ1fT7uSQuJVYbmKt/EmSCCOOT6V3q2FiihEs4gFGABGMAVKAAMAYA7CuHLcgxWBxka9TFSqJJqzvbX/t5/wBWM82zfDZjWqzpYeNJTk5JK1optuy0W23oFFFFfTHhnnd/+yZ+zdqf7QFv+1RqHwc0Wb4hWtn9lt/FT25NykXltF67S3lsybyN207c4AFegLa2qMGS2jBHQhBUlFRCnTp35Uld3dur7vzOnEYzF4tQVepKfJFRjzNvlitoq+0Vd2S0QUUUVZzHlH7dOvfFLwv+x38SfEPwVe/TxRZ+EbyXSJdKg826icRndJCmDulVNzKACdwGATgV8O+PvjN4E8F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", "info": {"equation": "9+9*2=27", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "4d12a9bd42d870d9148544809725e35bc77ae54636d99cbda6d90a6cb429eba4"} +{"episode": 51141, "episode_seed": 152942199, "split": "train", "timestamp": "2025-10-28T03:47:42.929649", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 152942199, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 0, 7, 6])", "action": "('move', [6, 0, 7, 6])", "reward": 0.0, "image": 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", 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", "info": {"equation": "49-31=18", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "49-31=18", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "d68fd0cbb0a8058bbf85b778f7adda8f140dac5c70172d4a3a6120c0f5a35012"} +{"episode": 51142, "episode_seed": 4111322612, "split": "train", "timestamp": "2025-10-28T03:47:42.985917", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4111322612, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [5, 4, 1, 8])", "action": "('move', [5, 4, 1, 8])", "reward": 0.0, "image": 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", "info": {"equation": "5*5=25", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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8BfAG78E+CtBtdL0jSfGut2um6dZRBIreFb2QKigdB+pJJOSSa4MnwFXCcVzpzqubjC7b+1dJWer2v36I+ExGfUHwZLC3nKVRqKhK3s6SjPn5qfvN87s4/DBKM6ivLmPdaKKK/Qz88CuX+MNn4fuvAN63iF9iRKGt5VQM6y9F2g9STx9Ca6d3SNDJI4VVGWZjgAetfNv7U3x/sLbw/deIbDTb2/0/SIgbTTrWLM+pXjsI4oYgATvkkdIk7ZfPSvB4izChgsulCaUpVE4xj3b0+5X/ACXU78uw9SviU1oo6t9jwf8AaG+Ifha48RaT8GPE0t1H4cvLqyufihqlksTDS9CluPJCyl5ozEtxMFjdwGKW4uHx8oNfoHpWm6Xo2l22kaJYW9pZWlukNna2kSxxQxKoVERVACqFAAA4AAAr5e0D9kS++GPwYm8ReP47bVvFHieRrz4ksxSaCeaWJYhbx4jQNbwxKsCgqMou4glmJ7f9h3UPFXhj4fv8EfF+oG+i8LnyPC2qyXKPLc6SCVt4ZQEQiaBAsTHDB1CPvLM4XweGW8nxcsvxMVGc0pJ99Nvlr80z0MzSxlFYik7xV0128/68j3KiiivvDwAr+Zf/AILK+NP2hfFv/BRH4jWn7Qs2prNpHiC6svCdpfw+XHBoSzyGxMCj5fLeErJuH32dmb5icf00V4L+2P8AAn/gnV8U9f8ADes/tvaF8PJNThSaDwzceM9Yhsppk3o0kUZeWMzqGZDs+YKZOg3nPz/EeVVM1wShGooWd9dn01/Q/XvBjj3CcAcTVMViMHLEKpBxXIk6kftXhfo7WkrrTW+ln+en/BKX9ofxHqX7G+jWvxn/AGy9V8OTaZfS6f4d0k+NbGx8nSYI4o4AInXeFDCVQW5IUdRgn1Txz8K/2CvGHhLxn8VfiF4o8OeJriWOO58T/EHUvEkF/qlnKgP2Z0vA+62kQqohjjKBiqJtbpX6UWej6Rp1nDp+n6VbQW9vEsUEEMCqkaKMKqqBgAAAADgAV+e37Yn7Kv7OfxR+Onxq+LHxE+D2jaz4i0aOJdM1O+idmgEXh6zljGzdsba7Mw3KeT9K+Oz/ACPFZdl8alTEyqK6STvZaPVe89rHPg+LcJmnFuJzCMJYSFWUp2oWv8SkobwVr2blraSTUHsfU/8AwTm8T/HDxn+xH8OvE/7Ro1H/AITC80Mvqcmr2ohu5o/OkFtLOgxtle3ELtkBtzEsASQPa6yPh8zN4C0NmYknSLYkk9f3S1r1+l4em6VCEG27JK73dlu/Nn5vmeLjmGZVsVGmqaqTlJQj8MeZt8sfKN7LyQVzXxk8JfCjxz8KvEHhX46aZpF54Pu9KmHiOHXmRbMWgUtI8rOQI1ULv35GwqGBBAI6Wvy7/wCDoTxr+0N4d/Z58C+G/h9NqkHgDWtWvY/H89jD+6edPszWEE8g5VGP2lgp+VmjXPKqK5c0xkcBl9SvKPMorbvfT7tdfI+g4D4drcWcX4PKqVdUJVJ6VG7cvKnK62973bQV1eVldbn3R+yB8Iv2Lvhf8Oryy/Yp0TwZH4avNUaS/uPB2oRXsM12qICHmR5Nzqmz5S3ygjgZ59YW0tVYMttGCOhCCv5vP+CMPxu+Jvw//aRk8A6d8edU8F+CNXsLi78Vtba9BYwPJDA4tnLz5UP5rovy/MwODlQcfrV4G+PvhGDxDHZaN+2hP4gu79Ta2+l3fj2zuvOZyMBI4wGMnGBt55NfJ4bjTA08Mk6EotdIpcvy1X5H13id4e4/hTi6phKuN+suSjPnk25vm0tO9/eVu7vHlel7L7dorjvgfqHinUvBYn8TtK5ExFpLcZ3yRYGCc9R1we455rsa+zwWKjjcLCuk0pK9nuflFak6NVwbvYK4n9pTVPihof7O3jzWvghZSXPjO08G6nN4St4rdZWl1NbWRrZQjfK5MoQBTwc4NdtRW8488HG9r9SsLWWHxMKripKLT5XqnZ3s/J7PyP5IU+LPxs8P/G5vjN/wm2u2nj+219tQk12Wd11BNREhZpGZvm8zfkEH3BGOK/c34Z/H3TdQ+Gnh2++IX7fOqW/iCfQLOTXoP+Fk6cnlXrQIZ12qpC4kLjA4GMCsfxX+y1+zvL8R/FP7Q8/wh0iTxuPjPduPEcsbtOrDxP5KsAWKBhGAoYLkdc55r9Jfsdn/AM+sf/fsV+YZHkuKxc68aeKlT5JtO19fN+8j988XPFPKeNqWAWHwCp+zg7uXLdN29yNl8EbaXs238Mba/K/7P3gHwj461fwVd+AL6K48P+Gb6O+0270m5Se2ZIYJrdE80blZfnYcHJK9eDX1ZSIiRrtjQKB0AGKWvuckyhZNhXRU+e7bva3ZbXfbufhGNxbxlVT5bWVgooor2DjP5+P+DkHxp+0Lqv7fd34L+Jkupx+CNK0m0k+HNtNDstJIJLWE3c0RHEjm6EqMx+YCNF6Bc9//AMESvjz4ssfgN4h8FfEj9qrUvB/hzRNWij8H6Yniuz05My+dNdlVlG9x5jxnceAXIB6gfrP+2X8I/wBiT4reBtLi/bj0nwXLoVjqudHu/GmpxWUcV28b5SKZ5IzuZFYlA3zCPJB2Ajv/AIX+D/hf4P8Ahxofhj4R6JpFr4WstLhj8PwaOqG1W02AxGIrkMhUghgTuznJzmvh63C+KrZrVxEMU4c2ul+bXo9VoumvRH9AZx4s5bmHhPg+G1llp0+WPtGl7O9PecNG/aT/AOXm3xT1dz4I1X4dfsWfGvXtY8afFDxl4Y+JuppoLQapq/jDxRbapJp2lrywU7ttnCCSxlQIQzMd4Jr3j/gkX4m+Ivif9lO6k8Yarq+o+H7Hxrqll8M9V1yLFxfeGInRbGUt96VP9YiSNy0aIQSu1jxX7bH7L37Pf7Qn7YCSfGv4TaV4jOj/AA+0k6b9vVwIPM1DU9+AjKGDeWmQ2R8v1r6B/Yet7ez/AGRfh7Z2dvHDDD4Zt44YYkCpGijCqqjgAAAADgAVhw7gqmF4ixFOVRycVq39q9tXq9j4HNs9o1uEKWEvOcpyi7TtyUlDmSVL3m3zJ+87QSStyy0a9Vooor78/PT8Wv8Ag6V8a/tDQfFPwD4Amm1SH4Vz+HheWyxQ7bO611Z7hZhI4+/JHb/Zyqt90SsV+82PIP8Agh18ffiL4f1PxV8MPE/7TWr+DfAFlp326ytE8T29hANUlmiX5DOCSWiSQsqfLlQWwSM/ur8cfgH8G/2lPh/P8LPjt8O9N8T6BcTxTyabqcRZRLG25JFYEMjA5G5SDgsOjEF3wa+A/wAHf2evh9Z/Cv4K/DvTPDnh+weR7XTNOgwiu7Fnck5ZmJJJZiT054FfG43hjGYrNp4qniHBSXS/MvLdafP5dT95p+L2Tw8JY8JvLk6ydub3eS3Nze0/m9r02t9rm+yfInhDx18LvF/jK2ltf2kU8b63FaTw6ZBf+MbW/mt4nKPOIY4sEBvJjLHB4iHTBz9Vfs2/D9/h38N3sJRcLLqWs32qTR3IAaN7idpSuMDAG7gHn1ru0traNt0duin1CAU+u3KeH55bjZYqpXdSTVtV6dbu+ysfjOLzFYmgqUYKKTvp/wAMgooor6U8wbNDFcQvbzoGSRSrqe4IwRXEeDvgXofhDxP/AMJHHqk1wIiTZwSRgeUSCCSR9488cDHvXc0VyYjAYPF1adWrBOUHeL7P+u5tTxFalCUYOyluVdc0ez8QaRc6JfqTDdQtHJjqAR1HuOtcx8Ovg9pfw/1KfV01SS8nkUxxM8YURxkg44JyeOTwPYV2NFFXAYOviYYipBOcNn2/rz2CFetTpOnF6PdBRRRXWYhX8y//AAWW8aftC+Lv+CiHxGs/2hptTWbSPEN1Z+E7PUIfLjg0JZ3NiYFHy+W8JWTcPvs7M3zE4/poryv9oX9iD9k39q7WdK8Q/tE/AnQvFd/okTxaZd6lC3mRRswYxlkZS6bhkK2QCWwBubPg8Q5RWzjCKlTnytO+uz9bfgfrPg/4iZb4ccRVMdjcM60JwcLxtzw1vePNZWdrSV1prfSz/NX/AIJbftM+NfFX7Iul3Xx//bb1zR9Qs9RmsdDsrvx1Z2jrpcMcUcGUkBkIDCVQz/MQo6jBP1B4LsfAnxe0bxD4Y8CfE0eMLzxArwa7q9rrkOo3bvNb/Z1aR4sqpWGNVXKgbYuhwTX2rZ6NpGnWcOnafpVtBb28SxQQQwKqRoowqqoGAAAAAOABU8cMMWfKiVc9dq4rxZ8H4mtBQq4yUoq2jTa07Xl9x8xnnFeHzbO8TmFHCRpe1nKSjG1o8zvbSKv57XfYraBpaaJoNlosbsy2dpHArMRkhFC5OPpVuiivt0rKx8aFYnxI+G3gP4weBNV+GPxP8KWWuaBrdm1rqulahCHiuIm6gjsQcEMMFSAQQQDW3RRKMZJpq6ZdKrVoVY1KcnGUWmmnZprVNNbNdGef/s//ALKv7O37K/ha78F/s+fCPSPC2m316bu9t9OhOZ5toXe7uWZsKoABOB2xk13i2lqrBltowR0IQVJRU06dOlBQgkkui0RrisXisdiJYjE1JTqS1cpNyk35t3b+YUUUVZzhXE/tK6p8UtD/AGdPHutfA+xe68aWfg3U5vCNtFAsrS6mtrI1qgRvlcmYINp4OcGu2oqZx54ON7X6m+FrLD4mFVxUlFp8r2dnez8ns/I/KzxL8XPhn4W/4Jn3njKy+Nd1FqH/AAjTzLrt3fxvq8nikn7YySJJk/bftuXeEruUbjtAHHoPww+Pun6j8MvDl/8AEX9vnU7fxDceH7KTX4B8SdOTyr5oEM67VBC4kLjA4GMCvri3/YQ/Y9tP2gX/AGp7b9nvw4nxAku2un8SraHzvtDR+W023PliQrnLhdxJLZ3EmvVvsdn/AM+sf/fsV8JheEMwoc1sW43f2b6+b1Wv3+p9xnvE2RYumo4PDtuUnOUqiinFy/5dx5b3hHV8z5eZte5C2vh37PHxG8R+P/EVrreg+Lzr+jXcJM1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"info": {"equation": "5*5=25", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "181afe446d39388ee911e52443b5c12f447ee7d721faa1367b0ff024ef6db43b"} +{"episode": 51143, "episode_seed": 1218501795, "split": "train", "timestamp": "2025-10-28T03:47:43.050878", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1218501795, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [5, 1, 2, 7])", "action": "('move', [5, 1, 2, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "51+0=51", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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qLZbrprwozywAcMGuPPDPyS0e0n5AB/RVXmnx/wD2Of2X/wBqe+0XU/2hfgnofiy48PSO+jzarblmt95UsuVI3KSiko2VOOlc+f5VVzfA+wpz5XdPXZ+T/P1R9R4Sce4Dw74qeZ4zDutB05Q0tzRbs1KN7K+nK9V7sn6P8yv2Efib8TviF/wTp1X4jfGz4i39xrbeJYPP8SXt+guIbaA6bHbytN0Vo4I4/nf5hsy+Tk1+iv7NHj/W/HmrjVtJ8YnxDok9kT/acd6tzDIUIRXSRCULEqQdvX5uMjjyH41wQQfE34g28MKJGvxF8PqsaqAoH2fQxgD0r7IREjXbGgUDoAMV8rw/lFaWZVZ+3dqVSzX87XV69fnueDxNnNLMcXVxUaEYKu5TUVtBSlzcsdFpG9lttsLRRRX6KfGnzT/wVY8Q+MvD/wCzHY/2JqmoWHh2/wDHOj2XxG1HTFHmW3h2Wfbdsz9YoWPlRyuPuxSPkhdzDzr4UeP9fvf+ChXw/wDDfwq8Rm/0+fwRrMnj+y04RT2ttpzLBLp9xK4yYne44iwR5iPIQGUEj6f/AGpreG7/AGY/iNa3MQkjl8B6ukiMMhlNlMCDXzx/wT+/Z5+CP7PHxz1fRPgj8NNN8N2up+C0uNQj09XJuJFuwqs7OzMcDIAzgZOAMnPxma4aT4qwk+d6p6duW7f/AIFsz7rKs1yqlwvWpVqN6sOdR0jyy9rFR5ptvmUqXxQspJvl+Hlbl+YP/Byh4t+OOqft+nwl8QJdRTwfpXh6zk8AW80Wy1aKWCM3c0WOHc3KyI7H5sRIp4Va/UD/AIISa98YvEH/AATO8BT/ABkgu1ltluLbw497bCJ5NHjfbaMAACybBhGIyyKp5GCdP/god+z98Fv2hvix8OfDvxt+HOn+JLHT9D125srbUN+2KY3GlKXGxlP3SRg5HPSvYP2MLW1sP2U/ANhY20cMEHhq3jghhQKkaKuFVVHAAAAAHAAoyzDSpcWYtubeif8A4FZ2+WyPseLPETL898K8q4fpYNQqYd+9PS3uqUbxtrepfmqXt73817r06iiivsz8UPEvjp8Df2BvHX7QXg7xt+0H4b8A3HxJtWhXwW/iDUIYtRnMcxeJYYWkU3G2UkqNr4YnHJr2k2doTk2sf/fAr+ZD/gq/8QP2hdS/4KSfEjXPjFqusWmvaF4vng8MvNugkstLhnZtOa3242J5JjlVl+8zl87mJr9Tf2bv2kp/EHwI8FeKfjD+3jqdv4qvPD1nc+ILSf4hafDsumQM6tEF+TnqvbpxXw0OMMHh8VWhOg1aVrxSu7aXltr95+5ce+FuY8N8MZTjqmYquq0NINu1O6U7UtXeGurSjrZ297T9JVVUG1VAA6AClryr9m3xf4j8ZC91mXWm1PSbqBLi1vxP5sUjP8wMTjKsrKc/KcY2468+q19VlmPhmeDjiIxcU76Pydj8VxWHlhazpt3sFfnH/wAHMni744+G/wBibRdM+G02oweF9W8UrbePJ7CP5Tb7N1vFM45SJ5gPQMwRSeQD+jlc78W/C/wx8a/DDX/C3xp07SrvwleaTOniOHW2VbT7HsJlaVnICKqgsXJG3buyMZp5lhZY3AVKEZcrkrX/AK6d/I+g4Jz2jwxxZg80q0fbRozUnDv00/vK94/3kj8Cv+CGHxe8UeDfHnjTwdq37QN94H8Hz6Ol7N9n8QW2nJcamJoo4vnmBLnyfO+VeMAE/wANfevjfwL+xN8YI/EHj/4v/ETQPH95a6EItT8SeI/FVtqN1o9gj7k8lwwFmBKdwZAhZ2wWOcV9rfsp/DH9lH4a/CGDQP2P9I8KReDJb6e4hfwneR3dpNclgsrmZHfzHyoUksSAgXgKAPm7/goL+zX8BfjV+0JfeIfix8KtJ1688PfDOzm0aa/jYi2c3WpuSFDBXBaNDhgw+Xpyc/nea8P4rLsm9rLEuUVb3Vfl1fTXz7H6RxBx7guJ/EWtmdOjUwcZaNwS9t7qS95c0FzSaXN7z5dNJNa+7f8ABO/xL8XPGH7E/wAOfEvx0m1KXxNd+H1e9uNZtxFeXEPmOLaadeMSvbiF2yASzEkAkivZ65z4PMW+EnhZmOSfDliST/17pXR1+mYeDpYeEG72SV3u7Ldn45meLjj8yrYmMFBVJykox2jzNvlXkr2XkFFFFbHEfBX/AAcZ+LPjl4V/4J33KfB6XUYtN1LxPa2Pjy406LJTR5Ip9yyMOY4nuBbRsR94PsPysQfib/g1z1/4xW37VHjjw34dgu38D3XhBZ/FDrbBoI76OYCx3SEfI5V7sKoPzAPwduR+vv7bOladrv7I3xG0PWLNLi0vfCF7b3dvJ92WJ4irKfYgkfjXkv8AwT2+BHwd/Z8+Kfjzwb8E/h3p3hvTLnw/ot1cWmnK2JZjc6ou9mdmZjtUAZPAHGK+MzDDSfF2GnzvWLfpyp6ej6/M/bMh8RMvy3wgx/DU8GpVas7qelvecfel154W9xry2tr9V0UUV9mfiZ+Ev/Bzz4u+ON1+134a8E+Kp9Rj8B2vhaO68JW7R7bSa6ZmW8kUjiSUERK2eVUrwA2W9L/4JKftFeKdU/Y+sLH40/tn6z4fbSdWm07wzpc3jizszDpUUUKxKscoL7A/nKpb+FQB8oWv1Q/aG/ZY/Z6/av8ADFn4N/aJ+FGleK9N069+12NvqSNm3m2MhdGQqy5ViCAcHjIOBjr/AA94S8L+EtAsfCvhjw/Z2Gm6ZZxWmn2NrbqkVtBGoSONFAwqqoAAHQCvjMTwxja+Z1cTDEuCl2vf0eq0XQ/a818VMqzDwxwHDEcAlVoSu5vl5dL+9HRvnne827a33vp8tfs/eGPB3xN1rQbjwR4xGvWGneI/7VutastTjvPtF0kjzSNNMmVLPI5LYwctxivrWmxxxxLtijVR6KMU6vbyXKf7Iw8qbqOblJybatvbzfbufkGNxf1yopctklawUUUV7BxhXmH7T2hDVdD0bVG0dbgaZqTzx3OCWtnaF4twxwAUkdST6j1r0+iuHMsH/aGBnh+bl5la+9jfDVvq9eNS17HEfs8eCW8A/C620eQTh7rUL7UJEuQAyNdXUtwVxgYAMmADzjGcmu3oorfC0FhcNCindRSX3KxFWo6tWU31bYUUUVuZnzx8TfhY3i/4yX2ivo8tr/a+u2F/cz2inMwtzbbZSWBH3LaND24xwa+h6KK8rLcrjl1StNTcvaSctel+nn6nXicU8TGEbW5VYKKKK9U5D5p/4KseIfGPh79mOx/sTVNQ0/w7f+OdHsviNqOmKA9r4dln23bO/WKFj5Ucsg+7FI+SF3MPmT4z/HTSPDf7X/w48O+Fv2kn8LWt94Y1eXxedI8Q2drF9h8uKSxkkmkztLTsPLAPzozEAqCR+lGsaPpPiHSLrQNe0yC9sb62e3vbO6iEkU8TqVeN1YEMrKSCDwQSK4L9nr9kf9mz9lHQdQ8Nfs8fB7R/Ctlqt2tzqUenxMWuZVXYpd5GZiFGcLnA3MQAWOflc34fxOZZlDE067gkrdbrf4dVvfXVfM+2yjiHJ8FkksPiMPz1Y+0UdI8kvaRUeabfvKVP4oWUk3y/Byty+ZfAnjr4e+MvF8P9j/tEHx3rcVpJHY2914tttRnt4WeNpRFHDggM0cO44P3E6d/rj4J+CU+HHwk8PeBo5JmGmaVFDm4I38DnOABnn0rpUtreJt0cCKfVVAp9dOT5FPLMTUr1KzqSkkrtdvO7ufNYzHxxVOMIwUUu3/DIKKKK+hPOPMvij+xp+y18avivoXxy+K3wP0HXfFvhryv7E1y/ti01t5UhljHBAcJISyhwwBJxjNekmztCcm1j/wC+BUlFRGlThJyjFJvfTf17nVXx2NxVKnSrVZSjTVopybUVvaKbtFX1srCKqoNqqAB0AFLRRVnKFfnH/wAHMni745eG/wBibRdM+G0+oweF9W8ULbePZ7CP5Tb7N1vFM45SJ5gM9mYIpPIB/Rysb4hfD3wT8WPA+q/DX4keGLTWtB1uye01XS7+LfFcwuMMrD9QRgggEEEA1xZlhJY7A1KEZcrkrX/rp0fkfT8F5/Q4W4qwebVqKqwozUnB9V5X05l8UX0kkz8B/wDghr8bvHHhPxd4v+HeuftH6p4K8DDSv7QFvF4mt9Pgk1VpYY1ZTODlzCsmQnUIu7otfpj4I1PwF8Ub7VdL8LfGs+OtY1DTls7q5PiSDUruG2/eKiDyfuIGmkYZX7znk9K+qvgX+zj8Df2Z/Aa/DH4EfDLS/DOhLdyXR07ToTteeTG+RmYlnYhVGSScKo6AAdnHBBEcxQopPUqoFfIQ4NxUsMqNXFvl6xSbj8ry/T5H1PH/AB/gOLeLcRm2FwipRnZK9uZ2SXNKytzO2tm+13a5R8IaFH4W8J6X4Zikd107ToLVXcgswjjVATjjPHatGiivu0rKx+YN3YUUUUxHNfGPQU8UfC3XfDs2jpqEd7p0kMtm4YiVGGGGF5J25wB3xXB/sxeCpLLxDr/xEnE6vqVjZaeqyABGW3kupNy8ZJzcsCc4+UDgg17DRXl1ssjWzWljXN+4mrdHe+t/n+R1QxThhJULfE07hRRRXqHKFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRUGq2kuoaZc2ENy0LzwPGkydYyykBh7jOaAPnj9nf/gq7+xF+1L+0Jqf7Mvwb+J13feJbBb5rGS60K6trDW1spvJvDp13KghvRBIdsnlM23k8gE19HV+Kn/BK39m/9pmw/aJ/ZC/Z48Y/s3+OPCl5+yTZfEiP4oeLtb8Py22kX7arczLYrp143yX4uBKsreWTtAO7pX7V0AFFFFABXhv7bP8AwUT/AGYP+CfmleHNW/aS8RavZJ4q1P7DpEej+Hrm/YvvijLyGFGWGMPNCu9yoLSKBknFe5V+ff8Awcf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"info": {"equation": "51+0=51", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "c3305671300d2e7c6082e858eb7c6bdd8030a492aea964499c2cf15dd22980aa"} +{"episode": 51144, "episode_seed": 3076246348, "split": "train", "timestamp": "2025-10-28T03:47:43.128438", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3076246348, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 0, 2, 7])", "action": "('move', [0, 0, 2, 7])", "reward": 0.0, "image": 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", 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", "info": {"equation": "11+2*0=11", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "11+2*0=11", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "35fe369bb8ea7e8b5f490a3e9522c7b31117f87d105377afd9a9bb2d1aa71f7a"} +{"episode": 51145, "episode_seed": 522334160, "split": "train", "timestamp": "2025-10-28T03:47:43.176073", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 522334160, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 6, 1, 8])", "action": "('move', [0, 6, 1, 8])", "reward": 0.0, "image": 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", 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", 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"info": {"equation": "0*2=0", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "0*2=0", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "ca36a26b10e6e0802740aea74f5d712a443877c6a5d5b21cd8470796b7f9cecb"} +{"episode": 51146, "episode_seed": 2276200772, "split": "train", "timestamp": "2025-10-28T03:47:43.236633", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2276200772, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 0, 4, 8])", "action": "('move', [2, 0, 4, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "7+12*5=67", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "7+12*5=67", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "ac829129fcfff1ee9f721e809797cf60a17cb321e3fb4b312600967be9b07270"} +{"episode": 51147, "episode_seed": 3450194088, "split": "train", "timestamp": "2025-10-28T03:47:43.302382", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3450194088, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 0, 1, 0])", "action": "('move', [6, 0, 1, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "67+77=144", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "67+77=144", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "b8b0412f03f4dfd6777ac4ca006d2aa6f88c3ddfa3b6a7fb05a7b59f957707b6"} +{"episode": 51148, "episode_seed": 788335164, "split": "train", "timestamp": "2025-10-28T03:47:43.376316", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 788335164, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 8, 0, 0])", "action": "('move', [4, 8, 0, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "70-0/8=70", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "70-0/8=70", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "adf872a683aab73305edf52c8c9f4ac998569e21a2820a1648a1b710289e019b"} +{"episode": 51149, "episode_seed": 2880850298, "split": "train", "timestamp": "2025-10-28T03:47:43.426579", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2880850298, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 5, 0, 6])", "action": "('move', [2, 5, 0, 6])", "reward": 0.0, "image": 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Kpf8ABOT4SfDL4OL8Rfh58LfA+n6Holl4hsGttOsYcIjPptuzsSSSzEnJJJPTngV+cY/LK2J4sdOFaUHKPNdbrpbdaaH9CUvFTKo+DUeGnl6dWMuXm93k+Lm9p39p02t9rm+yeG6h4b/ZW+PfjjTL74i/FfSPirrOm206aFp/irxXaawtmjKTM8NoD5e5lA3OUZgEXkbRXef8EfS2kS/F7wD8LC0nwa0PxfbJ8M54URrJZ5YWk1WCznBJnt0uSuGywDO4DE7gNz/go58Afgx8ffih8NPCHxk+HWn+INMttG8Q3cFneb1VJ1k0tA4MbKc7XcdcfN06V6D/AME8PCXhjwF8AbvwT4K0G10vSNJ8a63a6bp1lEEit4VvZAqKB0H6kkk5JJrTJ8vq4TiudOdVzcYXbf2rqKs9Xor9+iPz/EZ9QfBcsK3OUqjUVCVvZ0lGfPzU/eb53Zx+GCUZ1FeXMe60UUV+hn52Fcv8YbPw/deAb1vEL7EiUNbyqgZ1l6LtB6knj6E107ukaGSRwqqMszHAA9a+bf2pvj/YW3h+68Q2Gm3t/p+kRA2mnWsWZ9SvHYRxQxAAnfJI6RJ2y+eleDxFmFDBZdKE0pSqJxjHu3p9yv8Akup35dh6lfEprRR1b7Hg/wC0N8Q/C1x4i0n4MeJpbqPw5eXVlc/FDVLJYmGl6FLceSFlLzRmJbiYLG7gMUtxcPj5Qa/QPStN0vRtLttI0Swt7SytLdIbO1tIljihiVQqIiqAFUKAABwAABXy9oH7Il98MfgxN4i8fx22reKPE8jXnxJZik0E80sSxC3jxGga3hiVYFBUZRdxBLMT2/7DuoeKvDHw/f4I+L9QN9F4XPkeFtVkuUeW50kErbwygIhE0CBYmOGDqEfeWZwvg8Mt5Pi5ZfiYqM5pST76bfLX5pnoZmljKKxFJ3irprt5/wBeR7lRRRX3h4AV/Mv/AMFlvGn7Qvi7/goh8RrP9oabU1m0jxDdWfhOz1CHy44NCWdzYmBR8vlvCVk3D77OzN8xOP6aK8F/bH+BP/BOr4p6/wCG9Z/be0L4eSanCk0Hhm48Z6xDZTTJvRpIoy8sZnUMyHZ8wUydBvOfn+I8qqZrglCFTks767Ppr+h+veDPHuE4A4mqYrEYN4hVIOK5EnUj9q8E+jtaSutNb6Wf59/8Etv2mfGvir9kXS7r4/8A7beuaPqFnqM1jodld+OrO0ddLhjijgykgMhAYSqGf5iFHUYJ9I+Ivwe/4J/fEDwP45+IvxS13wv4u+226y+L/HWs+ILfUtRgYKRb4ui+YGXAWKJNivtVNrDg/pbZ6PpGnWcOn6fpVtBb28SxQQQwKqRoowqqoGAAAAAOABX57ftifsq/s5/FH46fGr4sfET4PaNrPiLRo4l0zU76J2aAReHrOWMbN2xtrszDcp5P0r47iDI8Vl+XxqVMTKouZKzvZaPX4mc+C4uwmZ8W4nMIQlhIVZSnaha/xKShvTVr2blraSUlB7H1L/wTh8RfGrxX+w98OPEH7Q0N+ni250HOoHVLMW91JCJZFtpJowBtke2ELsCAdzHIByB7bWR8PmZvAWhszEk6RbEknr+6Wtev0vD03SoQg3eySu93Zbv1PzfM8XHMMyrYqNNU1UnKShH4Y8zb5Y+Ub2XkgrmvjJ4S+FHjn4VeIPCvx00zSLzwfd6VMPEcOvMi2YtApaR5WcgRqoXfvyNhUMCCAR0tfl3/AMHQnjX9obw7+zz4F8N/D6bVIPAGtatex+P57GH9086fZmsIJ5ByqMftLBT8rNGueVUVy5pjI4DL6leUeZRW3e+n3a6+R9BwHw7W4s4vweVUq6oSqT0qN25eVOV1t73u2grq8rK63Puj9kD4RfsXfC/4dXll+xTongyPw1eao0l/ceDtQivYZrtUQEPMjybnVNnylvlBHAzz6wtpaqwZbaMEdCEFfzef8EYfjd8Tfh/+0jJ4B07486p4L8EavYXF34ra216CxgeSGBxbOXnyofzXRfl+ZgcHKg4/WrwN8ffCMHiGOy0b9tCfxBd36m1t9Lu/HtndeczkYCRxgMZOMDbzya+Tw3GmBp4ZJ0JRa6RS5flqvyPrvE7w9x/CnF1TCVcb9ZclGfPJtzfNpad7+8rd3ePK9L2X27RXHfA/UPFOpeCxP4naVyJiLSW4zvkiwME56jrg9xzzXY19ngsVHG4WFdJpSV7Pc/KK1J0arg3ewVxP7SmqfFDQ/wBnbx5rXwQspLnxnaeDdTm8JW8VusrS6mtrI1soRvlcmUIAp4OcGu2oreceeDje1+pWFrLD4mFVxUlFp8r1Ts72fk9n5H8kKfFn42eH/jc3xm/4TbXbTx/ba+2oSa7LO66gmoiQs0jM3zeZvyCD7gjHFfub8M/j7puofDTw7ffEL9vnVLfxBPoFnJr0H/CydOTyr1oEM67VUhcSFxgcDGBWP4r/AGWv2d5fiP4p/aHn+EOkSeNx8Z7tx4jljdp1YeJ/JVgCxQMIwFDBcjrnPNfpL9js/wDn1j/79ivzDI8lxWLnXjTxUqfJNp2vr5v3kfvni54p5TxtSwCw+AVP2cHdy5bpu3uRsvgjbS9m2/hjbX5X/Z+8A+EfHWr+CrvwBfRXHh/wzfR32m3ek3KT2zJDBNbonmjcrL87Dg5JXrwa+rKRESNdsaBQOgAxS19zkmULJsK6Knz3bd7W7La77dz8IxuLeMqqfLaysFFFFewcZ/Px/wAHIPjT9oXVf2+7vwX8TJdTj8EaVpNpJ8ObaaHZaSQSWsJu5oiOJHN0JUZj8wEaL0C57/8A4IlfHnxZY/AbxD4K+JH7VWpeD/DmiatFH4P0xPFdnpyZl86a7KrKN7jzHjO48AuQD1A/YX9oj9k/9nL9rLw/YeF/2jPhFpPiyy0u8N1p0epRtutpSpRijoVZQQeVBw2FJBKjHU+Bfhz4E+GXg3TPh58P/CVhpGiaNZJaaXpljbqkVtCgwqKP69Sck5Jr4mvwrjKuaVcTDEuClqmr82vTdaLpr0Wh+95v4wZPmXhZhOFo5clVpcicvd5Fyfbho37Sp9ttL4p6u58Aar8Ov2LPjTr+seNvif4y8MfEzVE0FoNU1fxf4ottUk07S15YKdwWzhBJYyoEIZmO8E17j/wR61Txpf8A7Isun6xJqE3hXSvGWqaf8LLzU7RYpbrwvE6LYuMAb4x+9WNyPmjRCMrtY8j+2x+y9+z3+0J+2Aknxr+E2leIzo/w+0k6b9vVwIPM1DU9+AjKGDeWmQ2R8v1r6B/Yet7ez/ZF+HtnZ28cMMPhm3jhhiQKkaKMKqqOAAAAAOABXLw7gqmF4jxEJVHJwWrf2r2eur2Phs2z2jW4QpYS85ynKLtO3JSUOZJUvebfMn7ztBJK3LLRr1Wiiiv0A/PT4m/bM8YeJ7T/AIKKeB/CvxK8Q3mneBk+H8l34DhnZYdP1HxQ91Nb3SNISPNuUsnhEURJOJ5SqkliPEbT9oTTrP8Abz8ZeDdC/ayuvDfhODwTZzeIIdP8UWNlbR+IVnECxLI4LPILWPEiAnYyYYKcA/ox8cfgF8Gv2lfh/P8ACz47/DvTfE+gXFxFPJpupxFlEsbbkkVgQyMORuUg4Zh0Ygu+DXwH+Dn7PXw+s/hX8Ffh1pnhzw/YvI9tpmnQYRXdizuScszEkksxJ6c8CvjcbwxjMVm08VDEOCa6X5l5LVafPyt1Pv6fE+RQyONKWGcq6h7O1o+zte/tb/F7R6rl5fifPz29w+RPCHjr4XeL/GVtLa/tIp431uK0nh0yC/8AGNrfzW8TlHnEMcWCA3kxljg8RDpg5+qv2bfh+/w7+G72EouFl1LWb7VJo7kANG9xO0pXGBgDdwDz613aW1tG26O3RT6hAKfXblPD88txssVUrupJq2q9Ot3fZWPk8XmKxNBUowUUnfT/AIZBRRRX0p5g2aGK4he3nQMkilXU9wRgiuI8HfAvQ/CHif8A4SOPVJrgREmzgkjA8okEEkj7x544GPeu5orkxGAweLq06tWCcoO8X2f9dzaniK1KEowdlLcq65o9n4g0i50S/UmG6haOTHUAjqPcda5j4dfB7S/h/qU+rpqkl5PIpjiZ4wojjJBxwTk8cngewrsaKKuAwdfEwxFSCc4bPt/XnsEK9anSdOL0e6CiiiusxCv5l/8Agst40/aF8Xf8FEPiNZ/tDTams2keIbqz8J2eoQ+XHBoSzubEwKPl8t4Ssm4ffZ2ZvmJx/TRXlf7Qv7EH7Jv7V2s6V4h/aJ+BOheK7/RIni0y71KFvMijZgxjLIyl03DIVsgEtgDc2fB4hyitnGEVKnPlad9dn62/A/WfB/xEy3w44iqY7G4Z1oTg4Xjbnhre8eays7WkrrTW+ln+av8AwS2/aZ8a+Kv2RdLuvj/+23rmj6hZ6jNY6HZXfjqztHXS4Y4o4MpIDIQGEqhn+YhR1GCfqDwXY+BPi9o3iHwx4E+Jo8YXniBXg13V7XXIdRu3ea3+zq0jxZVSsMaquVA2xdDgmvtWz0bSNOs4dO0/SraC3t4ligghgVUjRRhVVQMAAAAAcACp44YYs+VEq567VxXiz4PxNaChVxkpRVtGm1p2vL7j5jPOK8Pm2d4nMKOEjS9rOUlGNrR5ne2kVfz2u+xW0DS00TQbLRY3Zls7SOBWYjJCKFycfSrdFFfbpWVj40KxPiR8NvAfxg8Car8Mfif4Ustc0DW7NrXVdK1CEPFcRN1BHYg4IYYKkAgggGtuiiUYyTTV0y6VWrQqxqU5OMotNNOzTWqaa2a6M8//AGf/ANlX9nb9lfwtd+C/2fPhHpHhbTb69N3e2+nQnM820Lvd3LM2FUAAnA7Yya7xbS1Vgy20YI6EIKkoqadOnSgoQSSXRaI1xWLxWOxEsRiakp1JauUm5Sb827t/MKKKKs5wrif2ldU+KWh/s6ePda+B9i9140s/BupzeEbaKBZWl1NbWRrVAjfK5MwQbTwc4NdtRUzjzwcb2v1N8LWWHxMKripKLT5Xs7O9n5PZ+R+VniX4ufDPwt/wTPvPGVl8a7qLUP8AhGnmXXbu/jfV5PFJP2xkkSTJ+2/bcu8JXco3HaAOPQfhh8fdP1H4ZeHL/wCIv7fOp2/iG48P2UmvwD4k6cnlXzQIZ12qCFxIXGBwMYFfXFv+wh+x7aftAv8AtT237PfhxPiBJdtdP4lW0PnfaGj8tptufLEhXOXC7iSWzuJNerfY7P8A59Y/+/Yr4TC8IZhQ5rYtxu/s3183qtfv9T7jPeJsixdNRweHbcpOcpVFFOLl/wAu48t7wjq+Z8vM2vchbXw79nj4jeI/H/iK11vQfF51/RruEma/gvFuLd1UFQ6uhKZ3KR8p5IbuOPdaRESNdsaBQOgAxS19TlGXVMswrpTquo227vz6bv133bPisXiY4qrzqKjpayCiiivUOUKKKKAPDf2gvDUq/FGHxXB4ezcXOl29kl7DGzNOkcssiRHHGVeWQgDn5z1r0b4F+AY/hd8HvDnw+ilmcaTpUUG64ILnAz82ABnn0rrKK8fB5RHCZlWxnO26nS23z6+Wx2VsY62GhR5bcv4hRRRXsHGFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQB86ftpf8FUf2Nv2CPFOl+Bfj/401f8At3VNJn1ZdG8M+GbzVrm00yE4m1C5S1jc29shyDK+F4Poa9w+GvxJ8B/GP4faL8Vvhd4qs9c8OeItMh1DRNY0+XfDeW0qB45EPoVI68joQDX5df8ABSXwx8Zf2Zf+CpHxF/azuf2Z/H/xG8HfFr9kjUPh14am8AeFptYkstf+0mRLS6jhBNvBKMHzm+QFjnoa+xv+CNv7O3xT/ZQ/4JifBv4A/Gyxaz8VaB4RRda095Q7WUsssk/2clSQWjEgQ4JAKkCgD6aooooAKKKKAOV+N3xo+Hv7PHwp1v40/FXVprLw/wCH7T7RqNxbWMtzKFLKiqkUKtJI7MyqFVSSWFcd+xX+2z8CP2/fgt/wvz9nXUtVufDw1m70p21nR5rC4S6tmCzI0MwDrtY45HXPpXZ/Gr4saD8C/hbrPxa8T6Br+qWGh2ouLnT/AAvoM+p6hMu9VxDa26tLM2WB2qpOAT0Br8+v+Dajx7rGjfs2+MP2evHfwS+JfhHxDbfEbxD4nz41+Hmo6Taz2F9flrfyp7mJEklKkFo1JZR1FAH6W0UUUAFFFFABXyxff8Flf2EdH/aS079l/wAR+NvEeka1rHiiTw3o2u6x4I1K10PUNXjfy3soNRlhW3llEnyfKxG7jNfU9fkH+0x+0df/ALdn/BU7wz8Mf2n/ANm742eG/gl8CfiHb3Xgqx0v4Maxer458URTNDHqVzexW5itdMgb5kw371W3swViFAP18ooooAKKKKACvG/2vf26fgd+xNo2mar8X7HxdqEusfaGsdM8F+Cr/W7sxQIHnneKzicxxRqylpH2qMjmvZK+PP8AgsP44+Fq/BW1+Dfxk+Gf7Ruo6N4ihurm3179nnT9Rlure7hiMaWly+nN5qpMJ2ISRTA5j+cjaKAPoD9lb9qj4G/tp/AvQ/2j/wBnLxqmv+EvEEcjadqC27wtujkaOSN45AGR0dWVlI4Ir0OvjP8A4IB/C79or4Mf8Ervhv8ADX9pz4d/8Ir4g0tL1LLRJ9PitbqDTTdSNaG6jiAVbhoyGckbiTlvmJr7MoAKKKKACiivL/21rH9o/Vf2TPiFpP7ILWa/E288LXVv4Jlv7lYYor+RNiSF3IVSu4sCeNyjNAHJfs9/8FMf2Q/2pf2pviJ+x38EPiBca14z+Fqn/hL0i02QWcDLKsLpHcEbJWSUlGCk4ZWHY177X40/8EY/2dv2x/2X/wDgrj4p8K+M/wDgnzP8PvCS/ArRNC1fXD44/tW1WS3Pmm+W/Wzij1K8urgs80SFWiMrMSwGK/ZagAooooAKKKKAPl341f8ABXP9l/4IftFa9+y1qXgn4q+JvF3he2sLjxBbeAvhVquuQ6fHexmS2aWWzhdUDqrYzj7jD+E4+oY3EiLIAQGAIDDBr8cP+Cxvw41/R/2ifiN8SP2IPhz+13o/7UHiS/8ADdv4U1zwFZ3kXg7WIrURKjXM0P8AoklukT3Kst2d6yE4ARjn9ePh8PGA8A6GPiGYD4gGj239uG1x5X2zyl87Zjjb5m7HtQBsUUUUAf/Z", "info": {"equation": "8*3=24", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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Kpf8ABOT4SfDL4OL8Rfh58LfA+n6Holl4hsGttOsYcIjPptuzsSSSzEnJJJPTngV+cY/LK2J4sdOFaUHKPNdbrpbdaaH9CUvFTKo+DUeGnl6dWMuXm93k+Lm9p39p02t9rm+yeG6h4b/ZW+PfjjTL74i/FfSPirrOm206aFp/irxXaawtmjKTM8NoD5e5lA3OUZgEXkbRXef8EfS2kS/F7wD8LC0nwa0PxfbJ8M54URrJZ5YWk1WCznBJnt0uSuGywDO4DE7gNz/go58Afgx8ffih8NPCHxk+HWn+INMttG8Q3cFneb1VJ1k0tA4MbKc7XcdcfN06V6D/AME8PCXhjwF8AbvwT4K0G10vSNJ8a63a6bp1lEEit4VvZAqKB0H6kkk5JJrTJ8vq4TiudOdVzcYXbf2rqKs9Xor9+iPz/EZ9QfBcsK3OUqjUVCVvZ0lGfPzU/eb53Zx+GCUZ1FeXMe60UUV+hn52Fcv8YbPw/deAb1vEL7EiUNbyqgZ1l6LtB6knj6E107ukaGSRwqqMszHAA9a+bf2pvj/YW3h+68Q2Gm3t/p+kRA2mnWsWZ9SvHYRxQxAAnfJI6RJ2y+eleDxFmFDBZdKE0pSqJxjHu3p9yv8Akup35dh6lfEprRR1b7Hg/wC0N8Q/C1x4i0n4MeJpbqPw5eXVlc/FDVLJYmGl6FLceSFlLzRmJbiYLG7gMUtxcPj5Qa/QPStN0vRtLttI0Swt7SytLdIbO1tIljihiVQqIiqAFUKAABwAABXy9oH7Il98MfgxN4i8fx22reKPE8jXnxJZik0E80sSxC3jxGga3hiVYFBUZRdxBLMT2/7DuoeKvDHw/f4I+L9QN9F4XPkeFtVkuUeW50kErbwygIhE0CBYmOGDqEfeWZwvg8Mt5Pi5ZfiYqM5pST76bfLX5pnoZmljKKxFJ3irprt5/wBeR7lRRRX3h4AV/Mv/AMFlvGn7Qvi7/goh8RrP9oabU1m0jxDdWfhOz1CHy44NCWdzYmBR8vlvCVk3D77OzN8xOP6aK8F/bH+BP/BOr4p6/wCG9Z/be0L4eSanCk0Hhm48Z6xDZTTJvRpIoy8sZnUMyHZ8wUydBvOfn+I8qqZrglCFTks767Ppr+h+veDPHuE4A4mqYrEYN4hVIOK5EnUj9q8E+jtaSutNb6Wf59/8Etv2mfGvir9kXS7r4/8A7beuaPqFnqM1jodld+OrO0ddLhjijgykgMhAYSqGf5iFHUYJ9I+Ivwe/4J/fEDwP45+IvxS13wv4u+226y+L/HWs+ILfUtRgYKRb4ui+YGXAWKJNivtVNrDg/pbZ6PpGnWcOn6fpVtBb28SxQQQwKqRoowqqoGAAAAAOABX57ftifsq/s5/FH46fGr4sfET4PaNrPiLRo4l0zU76J2aAReHrOWMbN2xtrszDcp5P0r47iDI8Vl+XxqVMTKouZKzvZaPX4mc+C4uwmZ8W4nMIQlhIVZSnaha/xKShvTVr2blraSUlB7H1L/wTh8RfGrxX+w98OPEH7Q0N+ni250HOoHVLMW91JCJZFtpJowBtke2ELsCAdzHIByB7bWR8PmZvAWhszEk6RbEknr+6Wtev0vD03SoQg3eySu93Zbv1PzfM8XHMMyrYqNNU1UnKShH4Y8zb5Y+Ub2XkgrmvjJ4S+FHjn4VeIPCvx00zSLzwfd6VMPEcOvMi2YtApaR5WcgRqoXfvyNhUMCCAR0tfl3/AMHQnjX9obw7+zz4F8N/D6bVIPAGtatex+P57GH9086fZmsIJ5ByqMftLBT8rNGueVUVy5pjI4DL6leUeZRW3e+n3a6+R9BwHw7W4s4vweVUq6oSqT0qN25eVOV1t73u2grq8rK63Puj9kD4RfsXfC/4dXll+xTongyPw1eao0l/ceDtQivYZrtUQEPMjybnVNnylvlBHAzz6wtpaqwZbaMEdCEFfzef8EYfjd8Tfh/+0jJ4B07486p4L8EavYXF34ra216CxgeSGBxbOXnyofzXRfl+ZgcHKg4/WrwN8ffCMHiGOy0b9tCfxBd36m1t9Lu/HtndeczkYCRxgMZOMDbzya+Tw3GmBp4ZJ0JRa6RS5flqvyPrvE7w9x/CnF1TCVcb9ZclGfPJtzfNpad7+8rd3ePK9L2X27RXHfA/UPFOpeCxP4naVyJiLSW4zvkiwME56jrg9xzzXY19ngsVHG4WFdJpSV7Pc/KK1J0arg3ewVxP7SmqfFDQ/wBnbx5rXwQspLnxnaeDdTm8JW8VusrS6mtrI1soRvlcmUIAp4OcGu2oreceeDje1+pWFrLD4mFVxUlFp8r1Ts72fk9n5H8kKfFn42eH/jc3xm/4TbXbTx/ba+2oSa7LO66gmoiQs0jM3zeZvyCD7gjHFfub8M/j7puofDTw7ffEL9vnVLfxBPoFnJr0H/CydOTyr1oEM67VUhcSFxgcDGBWP4r/AGWv2d5fiP4p/aHn+EOkSeNx8Z7tx4jljdp1YeJ/JVgCxQMIwFDBcjrnPNfpL9js/wDn1j/79ivzDI8lxWLnXjTxUqfJNp2vr5v3kfvni54p5TxtSwCw+AVP2cHdy5bpu3uRsvgjbS9m2/hjbX5X/Z+8A+EfHWr+CrvwBfRXHh/wzfR32m3ek3KT2zJDBNbonmjcrL87Dg5JXrwa+rKRESNdsaBQOgAxS19zkmULJsK6Knz3bd7W7La77dz8IxuLeMqqfLaysFFFFewcZ/Px/wAHIPjT9oXVf2+7vwX8TJdTj8EaVpNpJ8ObaaHZaSQSWsJu5oiOJHN0JUZj8wEaL0C57/8A4IlfHnxZY/AbxD4K+JH7VWpeD/DmiatFH4P0xPFdnpyZl86a7KrKN7jzHjO48AuQD1A/YX9oj9k/9nL9rLw/YeF/2jPhFpPiyy0u8N1p0epRtutpSpRijoVZQQeVBw2FJBKjHU+Bfhz4E+GXg3TPh58P/CVhpGiaNZJaaXpljbqkVtCgwqKP69Sck5Jr4mvwrjKuaVcTDEuClqmr82vTdaLpr0Wh+95v4wZPmXhZhOFo5clVpcicvd5Fyfbho37Sp9ttL4p6u58Aar8Ov2LPjTr+seNvif4y8MfEzVE0FoNU1fxf4ottUk07S15YKdwWzhBJYyoEIZmO8E17j/wR61Txpf8A7Isun6xJqE3hXSvGWqaf8LLzU7RYpbrwvE6LYuMAb4x+9WNyPmjRCMrtY8j+2x+y9+z3+0J+2Aknxr+E2leIzo/w+0k6b9vVwIPM1DU9+AjKGDeWmQ2R8v1r6B/Yet7ez/ZF+HtnZ28cMMPhm3jhhiQKkaKMKqqOAAAAAOABXLw7gqmF4jxEJVHJwWrf2r2eur2Phs2z2jW4QpYS85ynKLtO3JSUOZJUvebfMn7ztBJK3LLRr1Wiiiv0A/PT4m/bM8YeJ7T/AIKKeB/CvxK8Q3mneBk+H8l34DhnZYdP1HxQ91Nb3SNISPNuUsnhEURJOJ5SqkliPEbT9oTTrP8Abz8ZeDdC/ayuvDfhODwTZzeIIdP8UWNlbR+IVnECxLI4LPILWPEiAnYyYYKcA/ox8cfgF8Gv2lfh/P8ACz47/DvTfE+gXFxFPJpupxFlEsbbkkVgQyMORuUg4Zh0Ygu+DXwH+Dn7PXw+s/hX8Ffh1pnhzw/YvI9tpmnQYRXdizuScszEkksxJ6c8CvjcbwxjMVm08VDEOCa6X5l5LVafPyt1Pv6fE+RQyONKWGcq6h7O1o+zte/tb/F7R6rl5fifPz29w+RPCHjr4XeL/GVtLa/tIp431uK0nh0yC/8AGNrfzW8TlHnEMcWCA3kxljg8RDpg5+qv2bfh+/w7+G72EouFl1LWb7VJo7kANG9xO0pXGBgDdwDz613aW1tG26O3RT6hAKfXblPD88txssVUrupJq2q9Ot3fZWPk8XmKxNBUowUUnfT/AIZBRRRX0p5g2aGK4he3nQMkilXU9wRgiuI8HfAvQ/CHif8A4SOPVJrgREmzgkjA8okEEkj7x544GPeu5orkxGAweLq06tWCcoO8X2f9dzaniK1KEowdlLcq65o9n4g0i50S/UmG6haOTHUAjqPcda5j4dfB7S/h/qU+rpqkl5PIpjiZ4wojjJBxwTk8cngewrsaKKuAwdfEwxFSCc4bPt/XnsEK9anSdOL0e6CiiiusxCv5l/8Agst40/aF8Xf8FEPiNZ/tDTams2keIbqz8J2eoQ+XHBoSzubEwKPl8t4Ssm4ffZ2ZvmJx/TRXlf7Qv7EH7Jv7V2s6V4h/aJ+BOheK7/RIni0y71KFvMijZgxjLIyl03DIVsgEtgDc2fB4hyitnGEVKnPlad9dn62/A/WfB/xEy3w44iqY7G4Z1oTg4Xjbnhre8eays7WkrrTW+ln+av8AwS2/aZ8a+Kv2RdLuvj/+23rmj6hZ6jNY6HZXfjqztHXS4Y4o4MpIDIQGEqhn+YhR1GCfqDwXY+BPi9o3iHwx4E+Jo8YXniBXg13V7XXIdRu3ea3+zq0jxZVSsMaquVA2xdDgmvtWz0bSNOs4dO0/SraC3t4ligghgVUjRRhVVQMAAAAAcACp44YYs+VEq567VxXiz4PxNaChVxkpRVtGm1p2vL7j5jPOK8Pm2d4nMKOEjS9rOUlGNrR5ne2kVfz2u+xW0DS00TQbLRY3Zls7SOBWYjJCKFycfSrdFFfbpWVj40KxPiR8NvAfxg8Car8Mfif4Ustc0DW7NrXVdK1CEPFcRN1BHYg4IYYKkAgggGtuiiUYyTTV0y6VWrQqxqU5OMotNNOzTWqaa2a6M8//AGf/ANlX9nb9lfwtd+C/2fPhHpHhbTb69N3e2+nQnM820Lvd3LM2FUAAnA7Yya7xbS1Vgy20YI6EIKkoqadOnSgoQSSXRaI1xWLxWOxEsRiakp1JauUm5Sb827t/MKKKKs5wrif2ldU+KWh/s6ePda+B9i9140s/BupzeEbaKBZWl1NbWRrVAjfK5MwQbTwc4NdtRUzjzwcb2v1N8LWWHxMKripKLT5Xs7O9n5PZ+R+VniX4ufDPwt/wTPvPGVl8a7qLUP8AhGnmXXbu/jfV5PFJP2xkkSTJ+2/bcu8JXco3HaAOPQfhh8fdP1H4ZeHL/wCIv7fOp2/iG48P2UmvwD4k6cnlXzQIZ12qCFxIXGBwMYFfXFv+wh+x7aftAv8AtT237PfhxPiBJdtdP4lW0PnfaGj8tptufLEhXOXC7iSWzuJNerfY7P8A59Y/+/Yr4TC8IZhQ5rYtxu/s3183qtfv9T7jPeJsixdNRweHbcpOcpVFFOLl/wAu48t7wjq+Z8vM2vchbXw79nj4jeI/H/iK11vQfF51/RruEma/gvFuLd1UFQ6uhKZ3KR8p5IbuOPdaRESNdsaBQOgAxS19TlGXVMswrpTquo227vz6bv133bPisXiY4qrzqKjpayCiiivUOUKKKKAPDf2gvDUq/FGHxXB4ezcXOl29kl7DGzNOkcssiRHHGVeWQgDn5z1r0b4F+AY/hd8HvDnw+ilmcaTpUUG64ILnAz82ABnn0rrKK8fB5RHCZlWxnO26nS23z6+Wx2VsY62GhR5bcv4hRRRXsHGFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQB86ftpf8FUf2Nv2CPFOl+Bfj/401f8At3VNJn1ZdG8M+GbzVrm00yE4m1C5S1jc29shyDK+F4Poa9w+GvxJ8B/GP4faL8Vvhd4qs9c8OeItMh1DRNY0+XfDeW0qB45EPoVI68joQDX5df8ABSXwx8Zf2Zf+CpHxF/azuf2Z/H/xG8HfFr9kjUPh14am8AeFptYkstf+0mRLS6jhBNvBKMHzm+QFjnoa+xv+CNv7O3xT/ZQ/4JifBv4A/Gyxaz8VaB4RRda095Q7WUsssk/2clSQWjEgQ4JAKkCgD6aooooAKKKKAOV+N3xo+Hv7PHwp1v40/FXVprLw/wCH7T7RqNxbWMtzKFLKiqkUKtJI7MyqFVSSWFcd+xX+2z8CP2/fgt/wvz9nXUtVufDw1m70p21nR5rC4S6tmCzI0MwDrtY45HXPpXZ/Gr4saD8C/hbrPxa8T6Br+qWGh2ouLnT/AAvoM+p6hMu9VxDa26tLM2WB2qpOAT0Br8+v+Dajx7rGjfs2+MP2evHfwS+JfhHxDbfEbxD4nz41+Hmo6Taz2F9flrfyp7mJEklKkFo1JZR1FAH6W0UUUAFFFFABXyxff8Flf2EdH/aS079l/wAR+NvEeka1rHiiTw3o2u6x4I1K10PUNXjfy3soNRlhW3llEnyfKxG7jNfU9fkH+0x+0df/ALdn/BU7wz8Mf2n/ANm742eG/gl8CfiHb3Xgqx0v4Maxer458URTNDHqVzexW5itdMgb5kw371W3swViFAP18ooooAKKKKACvG/2vf26fgd+xNo2mar8X7HxdqEusfaGsdM8F+Cr/W7sxQIHnneKzicxxRqylpH2qMjmvZK+PP8AgsP44+Fq/BW1+Dfxk+Gf7Ruo6N4ihurm3179nnT9Rlure7hiMaWly+nN5qpMJ2ISRTA5j+cjaKAPoD9lb9qj4G/tp/AvQ/2j/wBnLxqmv+EvEEcjadqC27wtujkaOSN45AGR0dWVlI4Ir0OvjP8A4IB/C79or4Mf8Ervhv8ADX9pz4d/8Ir4g0tL1LLRJ9PitbqDTTdSNaG6jiAVbhoyGckbiTlvmJr7MoAKKKKACiivL/21rH9o/Vf2TPiFpP7ILWa/E288LXVv4Jlv7lYYor+RNiSF3IVSu4sCeNyjNAHJfs9/8FMf2Q/2pf2pviJ+x38EPiBca14z+Fqn/hL0i02QWcDLKsLpHcEbJWSUlGCk4ZWHY177X40/8EY/2dv2x/2X/wDgrj4p8K+M/wDgnzP8PvCS/ArRNC1fXD44/tW1WS3Pmm+W/Wzij1K8urgs80SFWiMrMSwGK/ZagAooooAKKKKAPl341f8ABXP9l/4IftFa9+y1qXgn4q+JvF3he2sLjxBbeAvhVquuQ6fHexmS2aWWzhdUDqrYzj7jD+E4+oY3EiLIAQGAIDDBr8cP+Cxvw41/R/2ifiN8SP2IPhz+13o/7UHiS/8ADdv4U1zwFZ3kXg7WIrURKjXM0P8AoklukT3Kst2d6yE4ARjn9ePh8PGA8A6GPiGYD4gGj239uG1x5X2zyl87Zjjb5m7HtQBsUUUUAf/Z", 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", 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Kpf8ABOT4SfDL4OL8Rfh58LfA+n6Holl4hsGttOsYcIjPptuzsSSSzEnJJJPTngV+cY/LK2J4sdOFaUHKPNdbrpbdaaH9CUvFTKo+DUeGnl6dWMuXm93k+Lm9p39p02t9rm+yeG6h4b/ZW+PfjjTL74i/FfSPirrOm206aFp/irxXaawtmjKTM8NoD5e5lA3OUZgEXkbRXef8EfS2kS/F7wD8LC0nwa0PxfbJ8M54URrJZ5YWk1WCznBJnt0uSuGywDO4DE7gNz/go58Afgx8ffih8NPCHxk+HWn+INMttG8Q3cFneb1VJ1k0tA4MbKc7XcdcfN06V6D/AME8PCXhjwF8AbvwT4K0G10vSNJ8a63a6bp1lEEit4VvZAqKB0H6kkk5JJrTJ8vq4TiudOdVzcYXbf2rqKs9Xor9+iPz/EZ9QfBcsK3OUqjUVCVvZ0lGfPzU/eb53Zx+GCUZ1FeXMe60UUV+hn52Fcv8YbPw/deAb1vEL7EiUNbyqgZ1l6LtB6knj6E107ukaGSRwqqMszHAA9a+bf2pvj/YW3h+68Q2Gm3t/p+kRA2mnWsWZ9SvHYRxQxAAnfJI6RJ2y+eleDxFmFDBZdKE0pSqJxjHu3p9yv8Akup35dh6lfEprRR1b7Hg/wC0N8Q/C1x4i0n4MeJpbqPw5eXVlc/FDVLJYmGl6FLceSFlLzRmJbiYLG7gMUtxcPj5Qa/QPStN0vRtLttI0Swt7SytLdIbO1tIljihiVQqIiqAFUKAABwAABXy9oH7Il98MfgxN4i8fx22reKPE8jXnxJZik0E80sSxC3jxGga3hiVYFBUZRdxBLMT2/7DuoeKvDHw/f4I+L9QN9F4XPkeFtVkuUeW50kErbwygIhE0CBYmOGDqEfeWZwvg8Mt5Pi5ZfiYqM5pST76bfLX5pnoZmljKKxFJ3irprt5/wBeR7lRRRX3h4AV/Mv/AMFlvGn7Qvi7/goh8RrP9oabU1m0jxDdWfhOz1CHy44NCWdzYmBR8vlvCVk3D77OzN8xOP6aK8F/bH+BP/BOr4p6/wCG9Z/be0L4eSanCk0Hhm48Z6xDZTTJvRpIoy8sZnUMyHZ8wUydBvOfn+I8qqZrglCFTks767Ppr+h+veDPHuE4A4mqYrEYN4hVIOK5EnUj9q8E+jtaSutNb6Wf59/8Etv2mfGvir9kXS7r4/8A7beuaPqFnqM1jodld+OrO0ddLhjijgykgMhAYSqGf5iFHUYJ9I+Ivwe/4J/fEDwP45+IvxS13wv4u+226y+L/HWs+ILfUtRgYKRb4ui+YGXAWKJNivtVNrDg/pbZ6PpGnWcOn6fpVtBb28SxQQQwKqRoowqqoGAAAAAOABX57ftifsq/s5/FH46fGr4sfET4PaNrPiLRo4l0zU76J2aAReHrOWMbN2xtrszDcp5P0r47iDI8Vl+XxqVMTKouZKzvZaPX4mc+C4uwmZ8W4nMIQlhIVZSnaha/xKShvTVr2blraSUlB7H1L/wTh8RfGrxX+w98OPEH7Q0N+ni250HOoHVLMW91JCJZFtpJowBtke2ELsCAdzHIByB7bWR8PmZvAWhszEk6RbEknr+6Wtev0vD03SoQg3eySu93Zbv1PzfM8XHMMyrYqNNU1UnKShH4Y8zb5Y+Ub2XkgrmvjJ4S+FHjn4VeIPCvx00zSLzwfd6VMPEcOvMi2YtApaR5WcgRqoXfvyNhUMCCAR0tfl3/AMHQnjX9obw7+zz4F8N/D6bVIPAGtatex+P57GH9086fZmsIJ5ByqMftLBT8rNGueVUVy5pjI4DL6leUeZRW3e+n3a6+R9BwHw7W4s4vweVUq6oSqT0qN25eVOV1t73u2grq8rK63Puj9kD4RfsXfC/4dXll+xTongyPw1eao0l/ceDtQivYZrtUQEPMjybnVNnylvlBHAzz6wtpaqwZbaMEdCEFfzef8EYfjd8Tfh/+0jJ4B07486p4L8EavYXF34ra216CxgeSGBxbOXnyofzXRfl+ZgcHKg4/WrwN8ffCMHiGOy0b9tCfxBd36m1t9Lu/HtndeczkYCRxgMZOMDbzya+Tw3GmBp4ZJ0JRa6RS5flqvyPrvE7w9x/CnF1TCVcb9ZclGfPJtzfNpad7+8rd3ePK9L2X27RXHfA/UPFOpeCxP4naVyJiLSW4zvkiwME56jrg9xzzXY19ngsVHG4WFdJpSV7Pc/KK1J0arg3ewVxP7SmqfFDQ/wBnbx5rXwQspLnxnaeDdTm8JW8VusrS6mtrI1soRvlcmUIAp4OcGu2oreceeDje1+pWFrLD4mFVxUlFp8r1Ts72fk9n5H8kKfFn42eH/jc3xm/4TbXbTx/ba+2oSa7LO66gmoiQs0jM3zeZvyCD7gjHFfub8M/j7puofDTw7ffEL9vnVLfxBPoFnJr0H/CydOTyr1oEM67VUhcSFxgcDGBWP4r/AGWv2d5fiP4p/aHn+EOkSeNx8Z7tx4jljdp1YeJ/JVgCxQMIwFDBcjrnPNfpL9js/wDn1j/79ivzDI8lxWLnXjTxUqfJNp2vr5v3kfvni54p5TxtSwCw+AVP2cHdy5bpu3uRsvgjbS9m2/hjbX5X/Z+8A+EfHWr+CrvwBfRXHh/wzfR32m3ek3KT2zJDBNbonmjcrL87Dg5JXrwa+rKRESNdsaBQOgAxS19zkmULJsK6Knz3bd7W7La77dz8IxuLeMqqfLaysFFFFewcZ/Px/wAHIPjT9oXVf2+7vwX8TJdTj8EaVpNpJ8ObaaHZaSQSWsJu5oiOJHN0JUZj8wEaL0C57/8A4IlfHnxZY/AbxD4K+JH7VWpeD/DmiatFH4P0xPFdnpyZl86a7KrKN7jzHjO48AuQD1A/YX9oj9k/9nL9rLw/YeF/2jPhFpPiyy0u8N1p0epRtutpSpRijoVZQQeVBw2FJBKjHU+Bfhz4E+GXg3TPh58P/CVhpGiaNZJaaXpljbqkVtCgwqKP69Sck5Jr4mvwrjKuaVcTDEuClqmr82vTdaLpr0Wh+95v4wZPmXhZhOFo5clVpcicvd5Fyfbho37Sp9ttL4p6u58Aar8Ov2LPjTr+seNvif4y8MfEzVE0FoNU1fxf4ottUk07S15YKdwWzhBJYyoEIZmO8E17j/wR61Txpf8A7Isun6xJqE3hXSvGWqaf8LLzU7RYpbrwvE6LYuMAb4x+9WNyPmjRCMrtY8j+2x+y9+z3+0J+2Aknxr+E2leIzo/w+0k6b9vVwIPM1DU9+AjKGDeWmQ2R8v1r6B/Yet7ez/ZF+HtnZ28cMMPhm3jhhiQKkaKMKqqOAAAAAOABXLw7gqmF4jxEJVHJwWrf2r2eur2Phs2z2jW4QpYS85ynKLtO3JSUOZJUvebfMn7ztBJK3LLRr1Wiiiv0A/PT4m/bM8YeJ7T/AIKKeB/CvxK8Q3mneBk+H8l34DhnZYdP1HxQ91Nb3SNISPNuUsnhEURJOJ5SqkliPEbT9oTTrP8Abz8ZeDdC/ayuvDfhODwTZzeIIdP8UWNlbR+IVnECxLI4LPILWPEiAnYyYYKcA/ox8cfgF8Gv2lfh/P8ACz47/DvTfE+gXFxFPJpupxFlEsbbkkVgQyMORuUg4Zh0Ygu+DXwH+Dn7PXw+s/hX8Ffh1pnhzw/YvI9tpmnQYRXdizuScszEkksxJ6c8CvjcbwxjMVm08VDEOCa6X5l5LVafPyt1Pv6fE+RQyONKWGcq6h7O1o+zte/tb/F7R6rl5fifPz29w+RPCHjr4XeL/GVtLa/tIp431uK0nh0yC/8AGNrfzW8TlHnEMcWCA3kxljg8RDpg5+qv2bfh+/w7+G72EouFl1LWb7VJo7kANG9xO0pXGBgDdwDz613aW1tG26O3RT6hAKfXblPD88txssVUrupJq2q9Ot3fZWPk8XmKxNBUowUUnfT/AIZBRRRX0p5g2aGK4he3nQMkilXU9wRgiuI8HfAvQ/CHif8A4SOPVJrgREmzgkjA8okEEkj7x544GPeu5orkxGAweLq06tWCcoO8X2f9dzaniK1KEowdlLcq65o9n4g0i50S/UmG6haOTHUAjqPcda5j4dfB7S/h/qU+rpqkl5PIpjiZ4wojjJBxwTk8cngewrsaKKuAwdfEwxFSCc4bPt/XnsEK9anSdOL0e6CiiiusxCv5l/8Agst40/aF8Xf8FEPiNZ/tDTams2keIbqz8J2eoQ+XHBoSzubEwKPl8t4Ssm4ffZ2ZvmJx/TRXlf7Qv7EH7Jv7V2s6V4h/aJ+BOheK7/RIni0y71KFvMijZgxjLIyl03DIVsgEtgDc2fB4hyitnGEVKnPlad9dn62/A/WfB/xEy3w44iqY7G4Z1oTg4Xjbnhre8eays7WkrrTW+ln+av8AwS2/aZ8a+Kv2RdLuvj/+23rmj6hZ6jNY6HZXfjqztHXS4Y4o4MpIDIQGEqhn+YhR1GCfqDwXY+BPi9o3iHwx4E+Jo8YXniBXg13V7XXIdRu3ea3+zq0jxZVSsMaquVA2xdDgmvtWz0bSNOs4dO0/SraC3t4ligghgVUjRRhVVQMAAAAAcACp44YYs+VEq567VxXiz4PxNaChVxkpRVtGm1p2vL7j5jPOK8Pm2d4nMKOEjS9rOUlGNrR5ne2kVfz2u+xW0DS00TQbLRY3Zls7SOBWYjJCKFycfSrdFFfbpWVj40KxPiR8NvAfxg8Car8Mfif4Ustc0DW7NrXVdK1CEPFcRN1BHYg4IYYKkAgggGtuiiUYyTTV0y6VWrQqxqU5OMotNNOzTWqaa2a6M8//AGf/ANlX9nb9lfwtd+C/2fPhHpHhbTb69N3e2+nQnM820Lvd3LM2FUAAnA7Yya7xbS1Vgy20YI6EIKkoqadOnSgoQSSXRaI1xWLxWOxEsRiakp1JauUm5Sb827t/MKKKKs5wrif2ldU+KWh/s6ePda+B9i9140s/BupzeEbaKBZWl1NbWRrVAjfK5MwQbTwc4NdtRUzjzwcb2v1N8LWWHxMKripKLT5Xs7O9n5PZ+R+VniX4ufDPwt/wTPvPGVl8a7qLUP8AhGnmXXbu/jfV5PFJP2xkkSTJ+2/bcu8JXco3HaAOPQfhh8fdP1H4ZeHL/wCIv7fOp2/iG48P2UmvwD4k6cnlXzQIZ12qCFxIXGBwMYFfXFv+wh+x7aftAv8AtT237PfhxPiBJdtdP4lW0PnfaGj8tptufLEhXOXC7iSWzuJNerfY7P8A59Y/+/Yr4TC8IZhQ5rYtxu/s3183qtfv9T7jPeJsixdNRweHbcpOcpVFFOLl/wAu48t7wjq+Z8vM2vchbXw79nj4jeI/H/iK11vQfF51/RruEma/gvFuLd1UFQ6uhKZ3KR8p5IbuOPdaRESNdsaBQOgAxS19TlGXVMswrpTquo227vz6bv133bPisXiY4qrzqKjpayCiiivUOUKKKKAPDf2gvDUq/FGHxXB4ezcXOl29kl7DGzNOkcssiRHHGVeWQgDn5z1r0b4F+AY/hd8HvDnw+ilmcaTpUUG64ILnAz82ABnn0rrKK8fB5RHCZlWxnO26nS23z6+Wx2VsY62GhR5bcv4hRRRXsHGFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQB86ftpf8FUf2Nv2CPFOl+Bfj/401f8At3VNJn1ZdG8M+GbzVrm00yE4m1C5S1jc29shyDK+F4Poa9w+GvxJ8B/GP4faL8Vvhd4qs9c8OeItMh1DRNY0+XfDeW0qB45EPoVI68joQDX5df8ABSXwx8Zf2Zf+CpHxF/azuf2Z/H/xG8HfFr9kjUPh14am8AeFptYkstf+0mRLS6jhBNvBKMHzm+QFjnoa+xv+CNv7O3xT/ZQ/4JifBv4A/Gyxaz8VaB4RRda095Q7WUsssk/2clSQWjEgQ4JAKkCgD6aooooAKKKKAOV+N3xo+Hv7PHwp1v40/FXVprLw/wCH7T7RqNxbWMtzKFLKiqkUKtJI7MyqFVSSWFcd+xX+2z8CP2/fgt/wvz9nXUtVufDw1m70p21nR5rC4S6tmCzI0MwDrtY45HXPpXZ/Gr4saD8C/hbrPxa8T6Br+qWGh2ouLnT/AAvoM+p6hMu9VxDa26tLM2WB2qpOAT0Br8+v+Dajx7rGjfs2+MP2evHfwS+JfhHxDbfEbxD4nz41+Hmo6Taz2F9flrfyp7mJEklKkFo1JZR1FAH6W0UUUAFFFFABXyxff8Flf2EdH/aS079l/wAR+NvEeka1rHiiTw3o2u6x4I1K10PUNXjfy3soNRlhW3llEnyfKxG7jNfU9fkH+0x+0df/ALdn/BU7wz8Mf2n/ANm742eG/gl8CfiHb3Xgqx0v4Maxer458URTNDHqVzexW5itdMgb5kw371W3swViFAP18ooooAKKKKACvG/2vf26fgd+xNo2mar8X7HxdqEusfaGsdM8F+Cr/W7sxQIHnneKzicxxRqylpH2qMjmvZK+PP8AgsP44+Fq/BW1+Dfxk+Gf7Ruo6N4ihurm3179nnT9Rlure7hiMaWly+nN5qpMJ2ISRTA5j+cjaKAPoD9lb9qj4G/tp/AvQ/2j/wBnLxqmv+EvEEcjadqC27wtujkaOSN45AGR0dWVlI4Ir0OvjP8A4IB/C79or4Mf8Ervhv8ADX9pz4d/8Ir4g0tL1LLRJ9PitbqDTTdSNaG6jiAVbhoyGckbiTlvmJr7MoAKKKKACiivL/21rH9o/Vf2TPiFpP7ILWa/E288LXVv4Jlv7lYYor+RNiSF3IVSu4sCeNyjNAHJfs9/8FMf2Q/2pf2pviJ+x38EPiBca14z+Fqn/hL0i02QWcDLKsLpHcEbJWSUlGCk4ZWHY177X40/8EY/2dv2x/2X/wDgrj4p8K+M/wDgnzP8PvCS/ArRNC1fXD44/tW1WS3Pmm+W/Wzij1K8urgs80SFWiMrMSwGK/ZagAooooAKKKKAPl341f8ABXP9l/4IftFa9+y1qXgn4q+JvF3he2sLjxBbeAvhVquuQ6fHexmS2aWWzhdUDqrYzj7jD+E4+oY3EiLIAQGAIDDBr8cP+Cxvw41/R/2ifiN8SP2IPhz+13o/7UHiS/8ADdv4U1zwFZ3kXg7WIrURKjXM0P8AoklukT3Kst2d6yE4ARjn9ePh8PGA8A6GPiGYD4gGj239uG1x5X2zyl87Zjjb5m7HtQBsUUUUAf/Z", "info": {"equation": "8*3=24", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "ea80bfbd668fe69d3af92ffb9b960c8621fc35b4ac182575f76e01ca106788b4"} +{"episode": 51150, "episode_seed": 4262538886, "split": "train", "timestamp": "2025-10-28T03:47:43.470259", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4262538886, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [1, 7, 0, 4])", "action": "('move', [1, 7, 0, 4])", "reward": 0.0, "image": 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", 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", "info": {"equation": "6-4=2", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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4LHUsRKCmoSjLllrGVmnyyXVO1n5H8gni/X/FfinxXqXiXxzq19fa3fX0s+rXupys9zNcMxMjys/zFy2c55zX7Q/8E/v2l/Fvi79kzwrrv7Qv7cOraT4lkimR7CTx1p9m0VokrLbAw7cp+5Cfe+Y9TzX3b4k/4Jv/ALC3jD4zv+0J4m/Zh8LXnjCXUo9Qm1mazbMt0mNszxhvLd8qGJKks3zHJJNe0mztCcm1jJ90FfCYTg7H0JTaxThd/ZvqvPVa/f6n7/4p+NWSce5RhMHhsu5HTfM5T5W4vls4U7J+4+rfLflj7qsfndB8NP2OvjT8RLrxp4u8V+Hfip4pOlGFrzxV4ittcntbFSuUihZjHBEGIJZYwdzklsuc9N/wSCI8O/Fz4v8Aw3+BLyz/AAK0u7spfCE1tEkmmwazKrHUbeyuQSZ4lxCx+ZwGduc5FXP25f2Yv2f/ANof9sz7P8bPhXpniJNJ+F+mtpq3pkXyDJqWohyPLdc5CL1z04r1r/gmr4Q8LfD/AOEfi3wR4I8P2mlaPpXxI1O207TbGERw28Sx2+FVR+JJ6kkkkkk1yZJgamH4snSlUcnBNt/zXS31ff8AA+CxfEND/U2WHcqlSVVRioTt7Okoy5lKn70m5WXKvdp8sZzWqZ9E0UUV+lH5kFZPjvw54K8X+C9V8MfEfSdPv9AvrCWLWbPVo0e2ltip8wSh/l2bc5zwOta1fmP/AMHN/wAQf2ofCH7O3hDQPhNcava/D3XLy+t/iTe6XD8hb/RvsVvcSr8yQyFrgFeEdlVWz8qngzPGRy/AVMRKPMorZden3d/I+q4I4crcW8V4TKaVdUZVZWU5fZsnLTvLS0FdXk0rq9z61/Yx+AX/AATW+Geua7r/AOw3oXw4bUpbSG31+98Ha3DqM8UDMzRxu6yyNEjsjHblQ5iBOdgx7/8AYrP/AJ9Iv+/Yr+UD9kv4w/HP4J/HPRvE/wCz18QtT8N69dzrYNe6beJD5lvKyrJHKZP3ZjPDHzPlUqrcFQR+6E/xx+HXmuIf+CguplNx2n/hZun9O38NfIYHjPA08OoyoOPlBK36H6V4v+GOY8I57SdXMHivbRupVG/arlsrSu5afyO+tmre7d/eKRRxDbHGqj0UYp1fM3wm+LXibx3c6dqnw6+JDeKYkZLUXdrqaXcM+wqGErxEpnON7cEbu2a+ma+kybOqWcwnKnBxUXbXrf8ArVdD8YxmCngnFSknfsFFFFe0cQV/OP8A8F5/H/7T3ib9vzxR4T+PlzrEWhaLeSL8O9OvITFaLpTkbJ7dR8j+YV+eXlmZNrEbAq/0cV8f/wDBSX4D/B79oP45/Czwh8avh/Y+ItMtfC3im7t7S+LhY51uNDQOCjKc7ZHHXHzdOlfL8X4d1smlNSa5Gnbvraz++5+r+DnHGC4D4tWNxWG9tGcHC6tzwvrzQvpd25Wrq6b16P8AKv8A4IkftDfFvw7421r4T69+0vrHg/4bWmkT3wtV8S29jAmqPLCqeW04JBZBMSqcEjc3OCf0X1H4q/BTxDFFYeM/20R4gsI7uC5bSta+ItjLbSywyrNCzou0tslSOQc/eRc5HB9W/wCCbfwr+G/wj1j4pfD34ZeCdP0TRLDX9K+yabYwbY0LaVbszc5LMSclmJJ7mvqP7HZ/8+sf/fsV4eV8O4zG5ZTqLFyjGS+HWyXb4lp8jPxF44wPFHGGIzGhgo0lJpLbmdl8UrL43u7Xtoru138+fBH4Yv4j+MOi/E2cXSL4asr+OBlUCKVrpI0YMSOSBGCACMZ5r6HowB0FFfX5NlccowSw6lzat3tbfy1/M/NsZinjK/tGrBRRRXqnKfEH/BUnxp4s0P8AaI+Dnhz4jeJ9Q0T4M3U93deI75SsGnXGuwFJdOt7+5JHlw5V5ArMqNJEmckAV4t/wUH+N4+HN/8ADZPhn8cJPDfjw+OLT7FFpWo2qTHS7gNFeyT+dnyYfID7ZTtBdcA54r9L/iJ8O/Avxa8Ean8NviZ4Usdc0HWbRrbVNK1GASQ3ETdVZT74II5BAIIIBrgv2eP2Hf2Sv2T7zUtS/Z3+BGheFrrWIki1K7sYWaWaNCSqF5GZguTnaCASASCQMfG5rwxisfmv1qFflWne8bL7P/Do/Rsq4q4ewuWYdYnDOVahFxUFGHsqt5SkpVW3zJrmtJcs+eMYpShuvmGb44fDsu6x/wDBQXU9uSFI+Jun9P8Avmuh8KfDLwN8Z/hhF8LPhpqkV54ev7b7FDfaBeJcpHGJAHYSjemQwOScgEkGvs/7FZ/8+kX/AH7FPSOONdsaBR6KMVlPhCvWnF18XKai76pv7rydj5WOcQhFqFFK/wDXYWiiivtzwwooooAKKKKACiiigAooooAKKKKACiiigDwf9ojwoF+J48bN4cVZptHg09dUjViZYUklkWJj90FXllIHB+Y9a6/9l74Yn4Z+BtS837Us2v8AiO61ieK7ADRPNsXaBgELiMYByeetek4B6iivCwuRxw2cVcf7RtzVrW2vbr1200XzO+rjnVwccPy2t1CiiivdOAKzvF/hDwt4/wDC+oeCfG/h6z1bR9VtHttS03UIFlhuYXGGR0YEMCD0rRopNJqzKhOdOanB2a1TW6fdHkv7PH7CP7IP7KGs6j4j/Z5+AWg+F9Q1a1W2v7+yhd5pIVbcIg8rMyoWwSqkBiqk52rj1b7FZ/8APpF/37FSUVFKlSoQ5KcVFdkrL8Dpx2YY/M8Q8RjKsqtR2vKcnKTtorttvRaIakUcQ2xxqo9FGKdRRWhyBRRRQAV+dWi+O/Fms/8ABQ/4uaP+0d4s1G28Taffrp/wq8PawyW1s3hd187z9OjyBcvLLAxnkXew+zRBtu3FforXnX7RP7JX7N37Weiaf4e/aN+D2j+LLXSbprjTBqcLb7WRl2tskQq6hhjcoO1tqkglVI8TP8qq5vgvY058rTv5PyZ9Rwxm+XZXUr0sbTbhWhy80VGU4NSjJSipNJ3ceWS5otp/Etn+dVv+0bp9t/wUN8R+FPBH7Wt3oHguTwNDc+LxpviaxtLNNfjkjggSOdwS7/ZkYSICdrJhgpAr3Lw9+0X4A8PazBrKft3S3xgYkWmpfEXT5YJMqRh0wN3XI56gGvr74QfA74RfALwBZfCz4NfDzS/Dvh/T9xtNL022CxozMWZjnJZiSSWYknua6b7HZ/8APrH/AN+xXhUeE8wp0VBY2UbLZXsvT3l+SOjOeIMqxeLTwmFSpwiopytzTt9udk1zS7JuytG8rXflX7Puu+OdT1e4h1C7urrTBCS0127MEkyMBWPU+ozxx616zRgDoKK+nyrATy3BqhKo5tdX+XXT5nzGKxCxNZ1FHl8kFFFFeicwUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAGZ4z8ZeFPh34S1Px7468QWmk6Lo1jLearqd9MI4bW3jUs8jseAoUEk18ufs3f8Fvf+CeH7U/xh0T4IfDP4oaza6x4sS4bwRc+JvCN/pdl4oEDESf2dc3MSR3WMHhDk4wMkgV2n/BVn9nv4kftW/wDBOX4xfs8fCAI/ibxV4Iu7PRYJJhGtxPgOsJY8KH27Mnj5ua/KP4c/DH9pX9s7X/8Agnp+zJ4L/Y7+KXgXVv2X9Qiuvi54o8aeDZ9K07SVtBZIyWl1KAl4ZTaOyiInJaLPUlQD93qKKKACiiigAooooA8j/bK/bg/Z9/YO+GcHxV/aG1vVbbTry9NpYW2h+H7rUrq6mWJ5mVIbaN2wsccjsxwqqpJIrY/ZR/ak+EX7aPwC8PftLfAjVLy98KeJ7d5tJub+we2ldFkaMlo3AZfmQ9frXmP/AAVg+Nek/CD9ifxpo958PPHPiW+8aeH9S8PaLY+A/BV7rdwLyexn8tpY7RHaGEldplYBQWUZyQK8L/4NufiLe23/AATn8G/sveMvg78RvCPi34caKsfiK38b+ANQ0eB3uLq5dFtprqJFucKuW2Z27lzjIyAfoNRRRQAUUUUAFFFFAHyd+03/AMFp/wBhb9kjxzrPgj4w6342jTw1eRWnijxFpPw41a80fRp5CoWO5vooDBG3zrxuP3h3r6Y+HfxD8EfFvwHo/wAT/hp4ntNa8P8AiDTob/RtWsJd8N3bSoHjkQ+hUg88jocGvyf/AOC0/wC2Z8df2lfjTqn/AAS90v4B/GXwd8E5Akfxd+Lnhr4M6tr1zr0I8uY6ZpC28Dxqj8K90xI4YAYXbJ+lH7E2i/CHw3+yX8PvDfwD8Ga94e8Gad4YtrTw5o3inSLiw1G2tol2KLmC5VZY5TtLMHUEls45oA9RooooAKKKKACqXiTxFo3hDw7f+K/Ed8trp+mWct3fXLKSIoY0Lu5Cgk4UE4AJ4q7WL8R/Ft34B+H2ueObDwdqviKfRtIub2HQNChSS91JoomcW1ujsqtLIV2IGZQWYAkdaAPmD4Wf8Fu/2C/ip8fPDP7NsGveNvDniXxszL4K/wCE3+HGq6Nba+RnBtJruBFlDY+UjhsgA5Ir65r8P4/hx42+N/8AwWg+BX7SX7CnwF/aVmj07xLf3Xxev/2ivDuojRPD+m3M26ePTTq4P2aUK0wjW1O1T5ITjNfuBQAUUUUAFFFFABWT498d+Dfhd4J1f4kfEPxJaaNoOg6dNf6zq1/MI4bO2iQvJK7HoqqpJ+la1fDf/Baz9nv9tn9qDw98NPhX+zx8FNM+Inw2j8V/2r8YfAt548i8Ov4ktrbZJZ6e93JFLi1acb5kWNi4iVcrncAD2P8A4J9/8FOP2TP+CnPgrxB8QP2SvFGrarpnhnVU07VZtV0KexZZ3j8xQqzAFht7jp0r6Br8lv8Ag2s8FftjfDD4xftR6N8c/wBi+9+HXh7xL8Y9U1pNQ1DUmjS3vGuJMWNlC9tGL20VWO29iIjYIMINwx+tNAB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"info": {"equation": "6-4=2", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "e107032c818aa0742a7e5aaa030f1821a3a93d61baa4b6bdd3118c7a36071eee"} +{"episode": 51151, "episode_seed": 3286652234, "split": "train", "timestamp": "2025-10-28T03:47:43.528301", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3286652234, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 1, 4, 1])", "action": "('move', [6, 1, 4, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "6+6*9=60", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "6+6*9=60", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "00cec7fc07fbd2ab772cd303a4dcb7fc8ccbd21199667933075aa0ca6e3f909b"} +{"episode": 51152, "episode_seed": 2797533621, "split": "train", "timestamp": "2025-10-28T03:47:43.583869", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2797533621, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 0, 1, 1])", "action": "('move', [3, 0, 1, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "19*10=190", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "19*10=190", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "5e444370f172bfbcd4da8be2018cae4f980aeb167738675eedc4fd7286bf9cb7"} +{"episode": 51153, "episode_seed": 1394227401, "split": "train", "timestamp": "2025-10-28T03:47:43.633524", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1394227401, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [7, 1, 6, 5])", "action": "('move', [7, 1, 6, 5])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "10+86=96", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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PsFimwZbaPkJXcBuwSM4Jrj4roSqrCyUmv3kVp/e6+qtp6nDwjmeW4GNeGMpc/wANSOkXd0+b93K9rU6nP77V37q919Plb/g6l8UfGS3k+Fng6CW/j+H9zHeXVwsUeLabV0IVBIw6usDMUU9nkIzzj6l/4N4ta+Kus/8ABM/w8nxNguVtbLX9QtvCL3NuIzJpKuhQqRy6CdrlQx7LjoBXr3/BRj4SfDb43fDjwd8PPiz4Ptdd0S68dpJPp14XCO6aZqLIcoykEMAeDXWfsQ+H9E8KfszaB4X8M6VBYadpt5qlrYWVrGFjghj1K6VI1A6AKAB9KMNh3Di+tPmetNO3zSt6aXPqs048wOO8IcHw1HCKNSlWcnU0s17zuuvO+bllfSy63tH1ivDv+ClXib4xeDf2Dfin4n+AT3yeLLLwnPJpkumRb7mFcqJpIh13rCZWBHzAqCOQK9xoIDAqwBBHINfUV6brUZU07XTV1urrf5H5fleMjl2Z0MXKmqipzjJxltLlknyvydrPyZ/NL/wRv8ffEzSP2y/D/gLw74nvIfDmv3pn8Uaak48m8Nvb3DWzurfeZJXypX5hub+HdX7J/szfEHVP+Eu1vwR4R+Ib3uoWnji9mufDqamkhsUkuCAGhX5oo3GX+bglmYH06r4n/so/s5fsw+BYm+AHwf0bwofEfxB0+71s6TblPtUoE20nJOFXe+1BhV3NgDJr0f8AY6jQfCi8kCDcfF2s5bHJ/wBOmr82wnDuJo5vHCOu01DmvG+3P8K1Xr69D9W8TOPsv44zqecYXC+zg1GFpW5m4x+KVrq+vKtfhjHXoerUUUV+nH42fml/wc9eKPjLon7HXhXQ/A8t/F4T1fxb5XjaSzj/AHbhI/MtIpmHKxmVWYD7peNM8hQfl7/gh78adV0T4FeK/CHjj9qPUPBeh6dr8TeHdNi8V2mnI7yxu90wWUb358nJ6AnjnNfrZ+3p4J8KfEj9mTVvAXjrQYdU0bVtb0S31LT7nPl3ETataZVtpBx9CDWJ/wAE+Phn8P8A4WfCjxB8P/h34QsdH0XTPGM8dhp1nFiOFTaWjHGckkszEkkkkkk18LmmWV8bxNy068oN073XSztZarR7+p+y4TxBy+h4QPhqWCUqnt+bn0ta/NzbX9p/y72t7Pr0Pk6w8E/A7wf8b/g/8S/2a59M1Lx9rHxdhSTxHpF1DqOoa7ZXLuNee7nBZpo1tTLI7niF1iC7NwVv0ur4i+CfwC+C/hX9uWH43+Hfhvptp4u1v4l+J7fVNfjRjPPEI9VGzkkKP3UedoGdgzmvt2u7hGhKhhKycm/3klr5WV/n1PiuLc1p5j9VhGUpuFPWU/ibk2+Vay9yH2bu7blK0b8qK/BX/g5v8T/GS/8A229E8JeMJb9fB1h4Rgm8HQSR7bVpJWP2yRCOHkMiIrE/MAkY4GM/vVXyr/wUY+A3wc+PXjjwFpPxl+Hen+I7XS9G1280+31FWKQziXTF3gKwzwSMHIPcVvxbSdTI6jTtytP11Ss/vv8AI93wi4vwnBPGtLMsTQ9rHlnGytzR5l8Ub6X0s9V7spHyf+x78YdC+JH7EXg7Q/2i/wBsu+iuNT8LtZ674du/iFZ2cbWW6SKO3eNNrxo1sI1I3BiGOSCTXvX7CegeD/hv+2/rfw7/AGdtLs9O8GXHwvi1Dxro/h63iGmWuqi6gj0uY7OIrmaz+15AwZI4InbPDH3e503Trj/gnzJbzWELI/wbKshjGCDpOMVwH/BOP4F/B/4AeJ/G3hL4L/D7T/DmnXWjaHd3Nrp6tiWdpNSUyMzlmY7VUcngDivDw+VYjA59hPaV5T5lJ630SW270dzGtxPhsVgszqqm6arSdqUbeyXPO93qtaenIlHdJ8y5bP6oooor9BPzg8f1T4N/sSXn7Xtl8U9X8PeCG+NSaPmxnmvoRrJsxG8Xmrbl9zKI/MTzdhIUFd2BgeuLa2qMGS2jBHQhBX8xf7SPxj/ap0H/AIKheKfid4g8X61o3xJ074izwWt+8i289kiymCCNN3yJELcoig/IYzzlSSf2c8E/HTwmfE0dhoP7Z114hu7wNb2+k3Hj2zuvOZv7kcYDl+ONpz1r4WHGWDoSqxlQafM9ra+ctrPvuftHiL4aZhwtQyydXHrEKtRTV23yWs+WGr/d+97j0v72iPtyisX4eXOt3ngnTbrxEH+2PbgzGQYY8nBYHoSME+9bVfa0Kqr0I1ErcyTs91dX1PxqpD2c3Hs7Hkv7eXiD4ueFf2Mvib4k+A4vP+EvsvBl9NoLadD5lwk4iJ3RL3dRuK4BOQMAnAr+fz/gjz8UfGHgj9sy3Nt8Y73wjpGtaPex+K9Yh1mGzMsKxNLGrzTggZuFh6fMT7E1/S7Xj37MnwY/Yg+GviTxrffsoeHPA9tqmoaxjx1/wit7DPJHeK8p8q4VHbyGVmlxFhQDuwoxXz2eZJXzTGUalOt7Plv3v6x1WvfVaH63wR4g4PhngbOMnq4H20sUo2nZWjf3ffbT0j8VPf3+17nxf8avCP7F/wAYvB/i3x38YfippPj2707wnJFP4h1rxRbaneaJaKzPGbXacW7eeVKlVDSSFUJYELX3j+yfq/xO1/8AZf8Ah3rnxrguYvGF54J0ybxRHe2whmW/a1jM4kjAAR/MLZUAYORXzL/wUj/Z/wDgp8WPitceKfiT8NNM1rUPC/w0kutAuL2Nj9im866beqghWO6ND8wI+UcV9q2JLWULMSSYlyT9K4uG8HUwea4ynOo5uPIm31um7vV6rbc+VzvOKWL4cwmGXM2pSl71rU0vdUKerdpaOekdVFKPu3ctfnV/wcw+J/jFoH7B+mad8PZb+Lw9qvjC3tvG8tlHlTaeW7wpMw5WNrhYvYsEUnkA/orXkX7dfhLw348/Zd8Q+CvGOjxahpWq3mlWuo2M+dk8L6naq6HBBwQSOCDX0Oc0nWyqvBO3uv8ABX/HY5OCM8o8N8XYLM61JVY0qkZOL6q/S+nMt4/3kj8fv+CGfxm1rw98LfG3g3xl+05f+CvDtnrFrPoNhD4ptNOSW5ljk+1OBKCznbHbZP3R25Jr6sv/AAx8GfB3xE+HfxY/Zp1my1T4k658XbGKPxPpGoxajqevx3FzGNajupgzGeBbDzpJFPyQCKNlEfGfrD/gnp8Kfhv8Ifht4r+Hvwy8F2Gi6Jp/jVvsenWcWEj36bp7scsSSSzMSSScmvIvAHwD+DOift4R/HrSfhxpsHjLUfilq1pe+IVRjcSQCyvV2cttUbY0BKgEheTyc/ntPKsRTw2BryryanOCUdfdv216eiP0POeOsDm/GmZ5rToypQmpNQja1S0VFRq6pcs9ZVLc922kteZfb9FFFfqh+JhWF8UNHXxD8ONd0CTTEvUvtJnt5bRwcTI8ZVl45OVJHFbtFZ1qftaUoXtdNX9SoS5JqXY8m/Zg8GyaVLr3jaYTq2rfZbYLIuFK2/nHcvGeszAnp8vbBr1miiuXLcEsuwMMMpX5VvtfW5ria7xNeVRq1wr8nvHHxt8T+Hf2NNT8a+Jvi7f6N8VpfiWY9VuLm6t4dQtfEP8AbSo9p5cmVijjt1VVGMLaokgO35z+sNedp+yZ+zdH+0DJ+1Snwb0QfEOWy+yyeK/s3+lNF5Qi6527vLAj343bPlzjivOz7J62bxpKnU5OSV/+CvNdPV6n03C+d5VlEaqxtH2ibhONlF3lT5v3cr7U6nN77V37q919PlvQviT8MfFfiux0+P8Aavfxldx3LvpGkah44tL398Y3TzI4o8M0gjeRe+FduO4+ufgR4ObwH8K9M8Ov5wbfc3TrOAHVri4kuCpAAxgykAdQBzzXVra2qMGS2jBHQhBUlRlORVMtxcsRVrupKS5dV0vfdtnh4vHxxNFU4wUUnfT/AIZBRRRX0R5xwP7R2irrPw9Rn0tbkWepQ3QYgkwFN2JBj0zjnjBNTfs7+D28GfDKGycTB73ULy/kScYZTPO8uMYGB83GecV3HXrRXmxy5LNnjubVw5LfO97nS8S3hFQt1vf5WCiiivSOY+XP+CjfifxFofjT4MaZqOtXWn+Cb/xtcjxHcRlUt5b+OzeTS4LmQkbI2uAWUZAeaOFeSVVvm/wD8ftCX9oj4t+HX/bBvfDmgabq2lpp9ja+L7GxgXUDZAX6R7wWk2lLcMSTtkLpwVYD9E/ip8Kvh18b/h9qnwq+LPhCy17w7rUAh1PSdQj3RXCBgwzjBBDKrAgggqCCCAah+FPwb+FvwO+H2m/Cr4S+BtP0Hw9o8TR6bpVhDiKBWdnbGckkszMSSSSxJJJr5PMuHcXjs0eKp4h004paXuvJarR7779D7PD8QZRR4dWFnh+aulyXtHl5fae09pf4vaf8u7Wtyfa+yeB/ssaD4V8b+MNB8W+DPF39vWGi397fya1a6lHeLdXUsNxFK0syZVnZrmRiBg7h0ABFfUVIkccS7Y0Cj0UYpa9bJ8r/ALJwroubm3Jybatq7eb7dz5fGYr63VU+W1lawV8U/HTx3c6b+3h43svi/wCLm03SNJ+HmmT+DINTuEt7Iac7TPql1GzEB3E0UCzMeUSOHO1SC32tXnvx+/ZR/Zy/amtNHsf2hfhBo3iyLQL03ejpq0Bf7NKwAYrgjKsFXchyrbVyDgVOe5bVzXL3h6c+V3T8nbo/63serw5mOX5djJ/XYt05xcW4pOcfejJSipNK/u8r1Xuylr0fwD+y18dfC/i/9mfw/F8U/wBtnUgLuyubeXR9U8c2FoJNNFxNHbRTW4UGMNaCEMnDYY5wc19wfsreFoYJ9b+INs7tDq9nY2tsykGJ4oDcOroQPmB+0kZyQcDHQ59bWwsUUIlnEAowAIxgCpQABgDAHYV52X8OVsHjoYmriZVORNJNd1brJ/1YnNc5oZhVrOjQVKNSTlZbRTd0lZLbZeQUUUV9SeCed3/7Jn7N2p/tAW/7VGofBzRZviFa2f2W38VPbk3KReW0XrtLeWzJvI3bTtzgAV6AtraowZLaMEdCEFSUVEKdOnflSV3d26vu/M6cRjMXi1BV6kp8kVGPM2+WK2ir7RV3ZLRBRRRVnMeS/t5eIPi54V/Yy+JviT4Di8/4S+y8GX02gtp0PmXCTiIndEvd1G4rgE5AwCcCvwA/4I7fF7x74F/bAj0+z+N+p+D9A1/TLs+MdRg12KyW4SOGSSAySz5Ut9oKYP3vnYDhmr+lmvOvgp+yT+zX+zlrHiHX/gd8GdE8NXniu8F14gn0222m8kDOwzkkKoaRyEXCjccAV81neR4nNMXSq0qzp8ia0vdX6qzWr2eq0P1rgrxGy7hbgnNskr4NVZ4tJRlpZaW9++tofHTsnad9r3PmLwfL4C+NF1qvhXw78dJPHOq6tpn2C5uD4nt9RurW1feoCiIYRA0jNkrjJ5PavuCCIQwJCDkIgXn2FJHbwRHdFCin1VQKfXTk2TTyqVWU6rqSna7a7X83fc/M8bjVi1FKHKo328/uCvmL/gpR4l1/QB8JrW91u603wZe/EiJPGF3EQkBZLSeXT4rmQkeXC98luOSAziNSfmAP07WH8Svhr4D+MXgPVfhh8T/Ctprfh/W7NrXVdKv490VxE3VSOoOQCCMEEAgggGu/MsLPHYGpQjLlcla/9dO/kb5JjsPl2aU69eHNBXTWjdpRcbxvpzRvzRvpzJH52eGfj5o1r+1J8U/CbftdXvhjQNNTRfLsLTxZZWECau1vKl6ilwWkZYobIOCTscsvBBA+hv2YdD8I/EDxfofiPwZ43/4SK00fWLnUbrW7bVIr37TdNBPE/nTJlS5+0EkDB4Havfvg/wDA74R/AD4e2Hwo+DXgDTvD3h3TPM+w6VYQ4jiLu0jn5slizszEkkkmupjjjiXbFGqj0UYr5jB8KYihUozq4lyVNqXLZ2uuiu9PW2x6mcZ5gcVian1OhywcVFN2UmoxUeaSV0pStzSSk7N7vduooor7Q+WCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArkPj58d/hX+zF8G/EPx9+NviqLRPCvhbTmvdZ1KVGfyowQAFVQWd2YqiooJZmUAEmuvr5N/4Le/BX4n/Hn/AIJs+OPB3we8JXniHXNP1PQtei8O6dHvuNUg03WLO+ntok/jkaG3k2p1Zgqjk0Aeyfsl/tefA/8AbX+FB+MPwG129utNg1a50vU7LVtKmsL7TL+3YLNa3VtOqyQSrlSUYA4dT0Ir06vi7/gjb4W8f6hB+0F+0v4r+GviTwfo/wAY/j3qPibwboHi7SJNP1EaYLGytEuZ7WTD27yyW0jbHAbaFJ6ivtGgAooooA8b/bK/bx/Zz/YN8L6B4t/aJ1/U7K18S67FpOkrpWh3F873EjKoLiFGEUYLoC7kLl1HJIFeyV8Mf8HCPizUrX/gn/c/DXw18LPHXivWvE/i/QW02x8EeC73WHjWy1eyvZ3mFrG5hXyYJCrNgMwCjk19lfDH4gaV8V/hzofxN0LStWsLLxBpUGoWllr2lS2N7BHLGHVJ7eYLJBKAcNG4DKQQQCKAN2iiigArwL4lf8FL/wBk34RftWaF+xz8QvFOtad4s8Rajbabpt7N4Wvf7IbUbmEzW9g2o+V9mF1JGAyxb92CM4zXvtfnH+3d8a7/AONX/BVz4Q/so/FP4K/FK3+Ffww8SaT4uXxD4e+GWp6lY+JvF0h2abC97BC0NpY2QnM88rtzJhG2rGzUAfo5RRRQAUUUUAeBfs7f8FLP2Vf2oPj94i/Zm+GOu+IYvF3hzTH1N7HxD4RvtMTUtPS5Nq17ZSXMSLd24mGzzY8qSRjI5r32vzV/YO0rxT8QP+C0nxE/aT+GPwU+NOgeCtY+FE1h8QLv416Pcw/YvEQ1cSwWGjPdFitoIjO7R2zG2zsK9q/SqgAooooAjurq2sbWS9vbhIoYYy8ssjAKigZLEnoAOc15T+xj+21+z3+338IZ/jp+zN4oudZ8Mwa/eaONQudPktvNuLZlWQosgBZPmBVxwQaxP+Cl/wAP/wBoX4sfsO/ED4XfsuaJDqXjDxHpkWm2+nza4mmG5sprmKO/iS7dWW3kaza5VJCrbWZTtJGK+ev+DfLwV8e/ht+z98XPA/xt/ZXf4UQQ/H/xRdeHtDbVDcp9nmustFATBF5ltCVWOK5UFLhAJFCjigD76ooooAK8a/bE/bp+Cv7EOm+F734u6R4v1O58Za1LpXhzSPBHhC71u+vLmO2kuXVbe0R5CFhikckDgKT2r2Wvh3/guR4I+Gnif4M+FfEXjnwT+0Bf6x4evNVvPAusfs+Wt2+o6Xrb6dLbwNO9n+/ijkEzoGH7s/MJCFOCAfZngHxlp3xE8DaN8QNI07UrO01zSre/trTWNOks7uGOaNZFSeCUCSGUBgGjcBlYEEAg1rV5J+wSn7Qkf7FHwpT9rBrg/EoeAtL/AOE3N4VM/wDaX2ZPO83b8vm7s78cb91et0AFFFFAHiPxs/4KGfsxfAL9obwz+y3468R6xP4z8TwQXMenaF4avNRTS7We4+zQXV/LbxuljBJPmNZJSqlgecDNe3V+PP8AwUR+AX7ZHgv/AILG6p8av2f9K+MK658QB8O0+HGr+Bxc/wDCM+VYai8Wu22vtH+5WJLJ5ZUSf5T9oYpl+n7DUAFFFFABXzX8C/8Agqp+zR8fv2nm/ZB8OeFviTofjc6Te6nb2XjT4balo8N1Z2kqxTTxS3USLJHvdQGXIJYYPNfSlfHn7JvgLxz8Vf8Agqb+0T+1/wDEHwZq+maX4Z03R/hd8M5dY06W3+1WNtH/AGjql1B5ijzIZb25RFlTKv8AZTgnFAH2HRRRQB//2Q==", "info": {"equation": "10+86=96", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "b42bc1daa22cb6ff32bfcf2c50e26bff1a22981e70d0b38bf1bb06281cb10876"} +{"episode": 51154, "episode_seed": 3313083091, "split": "train", "timestamp": "2025-10-28T03:47:43.672451", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3313083091, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [1, 6, 5, 4])", "action": "('move', [1, 6, 5, 4])", "reward": 0.0, "image": 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", "info": {"equation": "40/5=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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ooHQfqSSTkkmvPyfL6uE4rnTnVc3GF239q6irPV6K/foj4rEZ9QfBcsK3OUqjUVCVvZ0lGfPzU/eb53Zx+GCUZ1FeXMe60UUV+hn52eD/APBTbxT8ZvBf7Dfj3xL8BLnV7fxFbWdrm70C2E19a2DXkC388C4J82Oza5kUgFlKAgZAr5F/aB+Itj4R+AfgC3/ZF8cJd+Kj4i0VfhJZaFPBfTas8EyQyR7GLebCLZpxO/RMney9a/TKvzW/ZF/Za/Z4+Gfi74MfGXwH8ItI0zxVrGuWR1LXIUdp5TPp1282C7EJvbk7AuenTivg+K8LKpmmDkptc0lHTp7y95eev4I/ROE84yfCZZKGMoc8qE3VilGLjVvGK9nVbaagnBPRSupzXKr8y9H/AODhHxp+0L4I/wCCd+o3fwCl1OGG98QW9l46u9Jh3SQaFJBcCYsw+aONphbRuy/wyFT8rNX5E/8ABEHxL8dfDv8AwUk+HsXwLtr2ZtR1AWni6K1tBKn9hMyG8abcMIiqqsHyCHVMZYhT/Qv+1tHHL+yp8TYpUDK3w+1oMrDII+wzcV8s/sZ/sv8A7Pn7O37UfhW7+CHwl0nw3Nq/hnWF1KewVzJcKgsiqlpGY7QWJ2ggZ5xkCjPsLKXEuElztczXy5X09T7rgXxQyzh3wxzLIa2BVSpU5rS05Zc6t+8vq+TeNr30Xu25j7nooor7w/AQoorhfjN8T7fwjpknh/S5m/tS6hGxlAIhQkgsc98A4HvmuTHY3D5fhZV6zsl+L6JebNqFCpiKqpwWrPKv2ufjvpnh6xub1o5ruz0mVLe0sLQr52pahLIsMVvFuYK7vI6Rpkjlic45ruP2QfgFe/A/4avfeNha3HjjxVcDVvHGpW8CrvvHUYtUIZiYLZMQRDcRtTd1difJv2afhvcfHP47TfFvxFYP/wAIn8N9RlsfC0EwXZqOvCNorq92NHkpbJK1tGwfHmm4OMojV9YV8/w7g61ec80xK/eVdl2j0/rt6noZjWhTisLS+GO/mwooor6s8kK/Lv8A4OhPGn7Qvh79nnwL4a+H8upwfD/WtWvI/H89jD+6edPszWEM8g5VGP2lgp+VmiXPKqK/USua+MnhL4UeOfhV4g8K/HTTNIvPB93pUw8Rw68yLZi0ClpHlZyBGqhd+/I2FQwIIBHn5phJY/L6lCM+VyW/4/c9n5H13AfEVHhPi/B5tVoKvGlO7g+t043X96N+aH95I/nX/wCCMHxc8efD39qKbwzpvxpvvBXhPWtJmk8XXlrrFvYrKIIpTahpZwQCJpAAq8neeMAkfp/4oH7Mvx41LR/D/wAV/wBomz+I6WepJPo3hrxN46tL+1e96RyC0Qqs8gyQodXHzMAOTX1l+yB8Iv2Lvhf8Oryy/Yp0TwZH4avNUaS/uPB2oRXsM12qICHmR5Nzqmz5S3ygjgZ54n/gpT8Jvht8YPh54E+HnxN8G2es6JqHxGi+2adcqwSXZpWpSJkoVYYdVPBHSvhsRw1i8Hk85vFNxjFvlV+V9e/6H3/HPiFguLvEBZjQw0sKvdhzJL22l05yScffs+W3OvdUU5Hk/wDwTiWPwb+2r8SfhP8As/DZ8JbPwtBe69pumIjaTpHi57rEkFsykiKV7bLzQJwjKuVT5QfuqvmX/gnB8K/hz8Fk+Ivw7+FHg2x0HRLPxFYvb6bp8ZWNXfTbdnYkklmJOSzEnpzgCvpqvq+GKbp5HRvJu6vr0u9vRH5zxfmVLNc8nVpp2iox5pW558sUuedrrmlu9XbRc0muZlFFcT+0pqnxQ0P9nbx5rXwQspLnxnaeDdTm8JW8VusrS6mtrI1soRvlcmUIAp4OcGvcnLkg5WvY+fwtB4rEwoppOTSu3ZK7tdvol1fY81s/2ev+CbcX7Y83xGsfCvw3Hxu+0NeTRpqcB1dZjbAtObPzMiQwneZPL3ENvzklj759js/+fWP/AL9iv5JY/iz8bPD/AMbm+Mv/AAm2u2vj+219tQk12Sd11BNREhZpGZvm8zfkEH3BGOK/c34Z/H3TdQ+Gnh2++IX7fOqW/iCfQLOTXoP+Fk6cnlXrQIZ12qpC4kLjA4GMCvg8Hxngoc/Nh3G7b91LXze2vc/d/FjwnzLg6GBqVcy+s88ORc7d4cltIJuX7v3vd2t21P0QREjXbGgUDoAMUteFfs8fEbxH4/8AEVrreg+Lzr+jXcJM1/BeLcW7qoKh1dCUzuUj5TyQ3cce619VlGaU83wrrwg4q7Wvl1/rrdH4Xi8LLCVeRtPS+gUUUV6hyn8/H/ByD40/aF1X9vu78F/EyXU4/BGlaTaSfDm2mh2WkkEtrCbuaIjiRzdCVGY/MBGi9Aue/wD+CJXx58V2XwG8Q+CviP8AtV6l4P8ADmh6tFH4Q0xPFdnpyZl86a7KrKN7jzHjOTwC5APUD9Ff+CkHwH+D37QfxQ+GnhD41fD+y8RaZa6N4hu7ezvi4WOdZNLQOCjKc7XYdcc9Old3/wAE9PBXhDwP8BLzwZ4P8NWWm6TpXjXW7XTtPtIAsVvCl7IFRR6D8yck5JJr81nlVfFcU16NOvKDtzcy3s+X3d1or6eiP6FznxVyrMPCHB8PLL4qpT5IuXu8q5L/ALyOjftKlvful8U9Xc+XtV+HX7Fnxp1/WPG3xP8AGXhj4maomgtBqmr+L/FFtqkmnaWvLBTuC2cIJLGVAhDMx3gmvcf+CPWqeNL/APZFl0/WJNQm8K6V4y1TT/hZeanaLFLdeF4nRbFxgDfGP3qxuR80aIRldrHkf22P2Xv2e/2hP2wEk+Nfwm0rxGdH+H2knTft6uBB5moanvwEZQwby0yGyPl+tfQP7D1vb2f7Ivw9s7O3jhhh8M28cMMSBUjRRhVVRwAAAABwAK6uHcFUwvEeIhKo5OC1b+1ez11ex+eZtntGtwhSwl5zlOUXaduSkocySpe82+ZP3naCSVuWWjXqtFFFfoB+ehRRRQB5B+0/4cF9quheKH0RZG063uoIdQVWLQLM0JkjOOArGGI890GK6H9m34fv8O/hu9hKLhZdS1m+1SaO5ADRvcTtKVxgYA3cA8+td9RXj0cojRzipj+dtzSVrbbdfkdk8Y54OOH5dne/3/5hRRRXsHGeD/8ABTbxT8ZvBf7Dfj3xL8BLnV7fxFbWdrm70C2E19a2DXkC388C4J82Oza5kUgFlKAgZAr4q/bJ+MXgr4X/ALInhfUf2dfjTBpWrx6npEfwuvtG1a2klumjlS2fa0pZWjWCSVZZDwhI3Mua/U2vJPhL+wf+x58CfilqXxq+EP7PXhzQPFGrCcXur2FoQ5E0nmSqiklYgzDkRhRjjpxXy2e8P4jNsZSrU63Jy6ddNb3j5/dstT7vhriPJMrwEaWOw7nKlUdSKSi41bqC9nVbaagnBPRTupTXKr8y+X9a+Lfwg17T7vQfEX7dVzqWmXsL299p178S7BobqBwVeKQAAlGUlSAQSCeRXu37O/gm08UfEvSfilYXDyWekaPdx2NxbMrW863QgIIYAh/liUgqejZ5BFfQP2Kz/wCfSL/v2Keqqo2qAAOgFZYXhetSx1PE1sVKpyO6TX6uTsfN1c0hOhKlCko37f8ADIWiiivrjyArjPiF8GdJ8e6zDrb6rLaSqqx3HlxhvNQE9M9G5xnkexrs6K5cZgsLj6PssRHmjvb09DWjWq0J89N2ZX0nTLTRdMt9IsI9sNtCsca+wGKsUUV0RjGEVGKskZttu7CiiiqEFfl3/wAHQnjX9obw7+zz4F8N/D6bVIPAGtatex+P57GH9086fZmsIJ5ByqMftLBT8rNGueVUV+olYnxI+G3gP4weBNV+GPxP8KWWuaBrdm1rqulahCHiuIm6gjsQcEMMFSAQQQDXBmmDnmGAqYeMuVyW/wCP3PZ+R9bwLxJh+EeLsJnFegq0KMruDtrdNXV9OaN+aD6SSP50/wDgjD8bvib8P/2kZPAOnfHnVPBfgjV7C4u/FbW2vQWMDyQwOLZy8+VD+a6L8vzMDg5UHH6raV8SfhN4r8SaXbah+1kPF95Be+Zo2lap47s7sC7aN4g8cUe1ml2SSIOvEjcZxj6x/Z//AGVf2dv2V/C134L/AGfPhHpHhbTb69N3e2+nQnM820Lvd3LM2FUAAnA7Yya7xbS1Vgy20YI6EIK+SpcH45YX2UsY0usUm4/+lL8j6zxJ8Rct414rnmuFwSpR5YxV7c8uX7U7Jrm1tu7RUVfQ8v8A2Xfh+/hWy8Q+L5hcLJ4l1KC4McwAULFbRQKUGAcEJnJznORxXqlFFfYZfg44DBQw6d+VWv3PyzEVniK0qjVrhRRRXYYnktv+wj+x9aftAv8AtT237PnhxPiBJdNdP4lFqfO+0NH5bTbc+WJCucuF3EktncSa9W+x2f8Az6x/9+xUlFZ06VKlfkild3dla77vzOvF5hj8e4PFVZVOSKjHmk5csVtFXbtFdEtEIiJGu2NAoHQAYpaKK0OQKKKKAPhDx54y8TXf/BSr4j+HfjH4jvLX+z/D+lw/CPSdQdYbW50iW1jm1G4tBkfaJjexOsrfMyJBGDtUAnx/4BftI6Pqvxx+MemW/wC2je6P4IsvFNq3hKO08Y2FlbPczQNLqXkEgmeITshEmSvzHBPIH6GftEfsnfs5ftZ6BYeGP2jPhFpHiyy0q7N1psepRtutpSpRijoVdQwPKg4bapIJVcdT4E+HPgP4Y+DNM+Hnw+8JWGkaHotklppemWNuqRW0KDCooH8+pOSck18TX4VxtXM6uJhiXBS1TV+bXputF017aH6DX4oyKeTqEcNeu6dOm01FU4ez5L1IPWTnU5FzXirc9T3pc2nx78NfFXw98XeKrq98KfGtPHWvy2sMc88niWDUrtLaORzHGBDysYkmcj5fvSnnkCvrD4F+AY/hd8HvDnw+ilmcaTpUUG64ILnAz82ABnn0rqY7eCI7ooEU+qqBT69TJshllWIqV51nUlNJXa/PV3Pj8Zj1iqc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ooHQfqSSTkkmvPyfL6uE4rnTnVc3GF239q6irPV6K/foj4rEZ9QfBcsK3OUqjUVCVvZ0lGfPzU/eb53Zx+GCUZ1FeXMe60UUV+hn52eD/APBTbxT8ZvBf7Dfj3xL8BLnV7fxFbWdrm70C2E19a2DXkC388C4J82Oza5kUgFlKAgZAr5F/aB+Itj4R+AfgC3/ZF8cJd+Kj4i0VfhJZaFPBfTas8EyQyR7GLebCLZpxO/RMney9a/TKvzW/ZF/Za/Z4+Gfi74MfGXwH8ItI0zxVrGuWR1LXIUdp5TPp1282C7EJvbk7AuenTivg+K8LKpmmDkptc0lHTp7y95eev4I/ROE84yfCZZKGMoc8qE3VilGLjVvGK9nVbaagnBPRSupzXKr8y9H/AODhHxp+0L4I/wCCd+o3fwCl1OGG98QW9l46u9Jh3SQaFJBcCYsw+aONphbRuy/wyFT8rNX5E/8ABEHxL8dfDv8AwUk+HsXwLtr2ZtR1AWni6K1tBKn9hMyG8abcMIiqqsHyCHVMZYhT/Qv+1tHHL+yp8TYpUDK3w+1oMrDII+wzcV8s/sZ/sv8A7Pn7O37UfhW7+CHwl0nw3Nq/hnWF1KewVzJcKgsiqlpGY7QWJ2ggZ5xkCjPsLKXEuElztczXy5X09T7rgXxQyzh3wxzLIa2BVSpU5rS05Zc6t+8vq+TeNr30Xu25j7nooor7w/AQoorhfjN8T7fwjpknh/S5m/tS6hGxlAIhQkgsc98A4HvmuTHY3D5fhZV6zsl+L6JebNqFCpiKqpwWrPKv2ufjvpnh6xub1o5ruz0mVLe0sLQr52pahLIsMVvFuYK7vI6Rpkjlic45ruP2QfgFe/A/4avfeNha3HjjxVcDVvHGpW8CrvvHUYtUIZiYLZMQRDcRtTd1difJv2afhvcfHP47TfFvxFYP/wAIn8N9RlsfC0EwXZqOvCNorq92NHkpbJK1tGwfHmm4OMojV9YV8/w7g61ec80xK/eVdl2j0/rt6noZjWhTisLS+GO/mwooor6s8kK/Lv8A4OhPGn7Qvh79nnwL4a+H8upwfD/WtWvI/H89jD+6edPszWEM8g5VGP2lgp+VmiXPKqK/USua+MnhL4UeOfhV4g8K/HTTNIvPB93pUw8Rw68yLZi0ClpHlZyBGqhd+/I2FQwIIBHn5phJY/L6lCM+VyW/4/c9n5H13AfEVHhPi/B5tVoKvGlO7g+t043X96N+aH95I/nX/wCCMHxc8efD39qKbwzpvxpvvBXhPWtJmk8XXlrrFvYrKIIpTahpZwQCJpAAq8neeMAkfp/4oH7Mvx41LR/D/wAV/wBomz+I6WepJPo3hrxN46tL+1e96RyC0Qqs8gyQodXHzMAOTX1l+yB8Iv2Lvhf8Oryy/Yp0TwZH4avNUaS/uPB2oRXsM12qICHmR5Nzqmz5S3ygjgZ54n/gpT8Jvht8YPh54E+HnxN8G2es6JqHxGi+2adcqwSXZpWpSJkoVYYdVPBHSvhsRw1i8Hk85vFNxjFvlV+V9e/6H3/HPiFguLvEBZjQw0sKvdhzJL22l05yScffs+W3OvdUU5Hk/wDwTiWPwb+2r8SfhP8As/DZ8JbPwtBe69pumIjaTpHi57rEkFsykiKV7bLzQJwjKuVT5QfuqvmX/gnB8K/hz8Fk+Ivw7+FHg2x0HRLPxFYvb6bp8ZWNXfTbdnYkklmJOSzEnpzgCvpqvq+GKbp5HRvJu6vr0u9vRH5zxfmVLNc8nVpp2iox5pW558sUuedrrmlu9XbRc0muZlFFcT+0pqnxQ0P9nbx5rXwQspLnxnaeDdTm8JW8VusrS6mtrI1soRvlcmUIAp4OcGvcnLkg5WvY+fwtB4rEwoppOTSu3ZK7tdvol1fY81s/2ev+CbcX7Y83xGsfCvw3Hxu+0NeTRpqcB1dZjbAtObPzMiQwneZPL3ENvzklj759js/+fWP/AL9iv5JY/iz8bPD/AMbm+Mv/AAm2u2vj+219tQk12Sd11BNREhZpGZvm8zfkEH3BGOK/c34Z/H3TdQ+Gnh2++IX7fOqW/iCfQLOTXoP+Fk6cnlXrQIZ12qpC4kLjA4GMCvg8Hxngoc/Nh3G7b91LXze2vc/d/FjwnzLg6GBqVcy+s88ORc7d4cltIJuX7v3vd2t21P0QREjXbGgUDoAMUteFfs8fEbxH4/8AEVrreg+Lzr+jXcJM1/BeLcW7qoKh1dCUzuUj5TyQ3cce619VlGaU83wrrwg4q7Wvl1/rrdH4Xi8LLCVeRtPS+gUUUV6hyn8/H/ByD40/aF1X9vu78F/EyXU4/BGlaTaSfDm2mh2WkkEtrCbuaIjiRzdCVGY/MBGi9Aue/wD+CJXx58V2XwG8Q+CviP8AtV6l4P8ADmh6tFH4Q0xPFdnpyZl86a7KrKN7jzHjOTwC5APUD9Ff+CkHwH+D37QfxQ+GnhD41fD+y8RaZa6N4hu7ezvi4WOdZNLQOCjKc7XYdcc9Old3/wAE9PBXhDwP8BLzwZ4P8NWWm6TpXjXW7XTtPtIAsVvCl7IFRR6D8yck5JJr81nlVfFcU16NOvKDtzcy3s+X3d1or6eiP6FznxVyrMPCHB8PLL4qpT5IuXu8q5L/ALyOjftKlvful8U9Xc+XtV+HX7Fnxp1/WPG3xP8AGXhj4maomgtBqmr+L/FFtqkmnaWvLBTuC2cIJLGVAhDMx3gmvcf+CPWqeNL/APZFl0/WJNQm8K6V4y1TT/hZeanaLFLdeF4nRbFxgDfGP3qxuR80aIRldrHkf22P2Xv2e/2hP2wEk+Nfwm0rxGdH+H2knTft6uBB5moanvwEZQwby0yGyPl+tfQP7D1vb2f7Ivw9s7O3jhhh8M28cMMSBUjRRhVVRwAAAABwAK6uHcFUwvEeIhKo5OC1b+1ez11ex+eZtntGtwhSwl5zlOUXaduSkocySpe82+ZP3naCSVuWWjXqtFFFfoB+ehRRRQB5B+0/4cF9quheKH0RZG063uoIdQVWLQLM0JkjOOArGGI890GK6H9m34fv8O/hu9hKLhZdS1m+1SaO5ADRvcTtKVxgYA3cA8+td9RXj0cojRzipj+dtzSVrbbdfkdk8Y54OOH5dne/3/5hRRRXsHGeD/8ABTbxT8ZvBf7Dfj3xL8BLnV7fxFbWdrm70C2E19a2DXkC388C4J82Oza5kUgFlKAgZAr4q/bJ+MXgr4X/ALInhfUf2dfjTBpWrx6npEfwuvtG1a2klumjlS2fa0pZWjWCSVZZDwhI3Mua/U2vJPhL+wf+x58CfilqXxq+EP7PXhzQPFGrCcXur2FoQ5E0nmSqiklYgzDkRhRjjpxXy2e8P4jNsZSrU63Jy6ddNb3j5/dstT7vhriPJMrwEaWOw7nKlUdSKSi41bqC9nVbaagnBPRTupTXKr8y+X9a+Lfwg17T7vQfEX7dVzqWmXsL299p178S7BobqBwVeKQAAlGUlSAQSCeRXu37O/gm08UfEvSfilYXDyWekaPdx2NxbMrW863QgIIYAh/liUgqejZ5BFfQP2Kz/wCfSL/v2Keqqo2qAAOgFZYXhetSx1PE1sVKpyO6TX6uTsfN1c0hOhKlCko37f8ADIWiiivrjyArjPiF8GdJ8e6zDrb6rLaSqqx3HlxhvNQE9M9G5xnkexrs6K5cZgsLj6PssRHmjvb09DWjWq0J89N2ZX0nTLTRdMt9IsI9sNtCsca+wGKsUUV0RjGEVGKskZttu7CiiiqEFfl3/wAHQnjX9obw7+zz4F8N/D6bVIPAGtatex+P57GH9086fZmsIJ5ByqMftLBT8rNGueVUV+olYnxI+G3gP4weBNV+GPxP8KWWuaBrdm1rqulahCHiuIm6gjsQcEMMFSAQQQDXBmmDnmGAqYeMuVyW/wCP3PZ+R9bwLxJh+EeLsJnFegq0KMruDtrdNXV9OaN+aD6SSP50/wDgjD8bvib8P/2kZPAOnfHnVPBfgjV7C4u/FbW2vQWMDyQwOLZy8+VD+a6L8vzMDg5UHH6raV8SfhN4r8SaXbah+1kPF95Be+Zo2lap47s7sC7aN4g8cUe1ml2SSIOvEjcZxj6x/Z//AGVf2dv2V/C134L/AGfPhHpHhbTb69N3e2+nQnM820Lvd3LM2FUAAnA7Yya7xbS1Vgy20YI6EIK+SpcH45YX2UsY0usUm4/+lL8j6zxJ8Rct414rnmuFwSpR5YxV7c8uX7U7Jrm1tu7RUVfQ8v8A2Xfh+/hWy8Q+L5hcLJ4l1KC4McwAULFbRQKUGAcEJnJznORxXqlFFfYZfg44DBQw6d+VWv3PyzEVniK0qjVrhRRRXYYnktv+wj+x9aftAv8AtT237PnhxPiBJdNdP4lFqfO+0NH5bTbc+WJCucuF3EktncSa9W+x2f8Az6x/9+xUlFZ06VKlfkild3dla77vzOvF5hj8e4PFVZVOSKjHmk5csVtFXbtFdEtEIiJGu2NAoHQAYpaKK0OQKKKKAPhDx54y8TXf/BSr4j+HfjH4jvLX+z/D+lw/CPSdQdYbW50iW1jm1G4tBkfaJjexOsrfMyJBGDtUAnx/4BftI6Pqvxx+MemW/wC2je6P4IsvFNq3hKO08Y2FlbPczQNLqXkEgmeITshEmSvzHBPIH6GftEfsnfs5ftZ6BYeGP2jPhFpHiyy0q7N1psepRtutpSpRijoVdQwPKg4bapIJVcdT4E+HPgP4Y+DNM+Hnw+8JWGkaHotklppemWNuqRW0KDCooH8+pOSck18TX4VxtXM6uJhiXBS1TV+bXputF017aH6DX4oyKeTqEcNeu6dOm01FU4ez5L1IPWTnU5FzXirc9T3pc2nx78NfFXw98XeKrq98KfGtPHWvy2sMc88niWDUrtLaORzHGBDysYkmcj5fvSnnkCvrD4F+AY/hd8HvDnw+ilmcaTpUUG64ILnAz82ABnn0rqY7eCI7ooEU+qqBT69TJshllWIqV51nUlNJXa/PV3Pj8Zj1iqc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"info": {"equation": "40/5=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "ad404c2274a5b21ffe42f75eb2548690b63ba92fe40e2ff10c7e49639fab0921"} +{"episode": 51155, "episode_seed": 3112725792, "split": "train", "timestamp": "2025-10-28T03:47:43.726814", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3112725792, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 0, 1, 7])", "action": "('move', [2, 0, 1, 7])", "reward": 0.0, "image": 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gZAI9P/4KA/BL4TfEj476Z488e+AbDVdX8KeFLW48OX94jM1hK19MS6DO0nKIRuBwVBGDXpX/AAUI+Efwz+Mnwq8PfD34oeC7PWtFvvGdubvTroMEkKWt265KFW4ZQeD2r8zx2V16tfMKka8koO7XSV1zWevTZaM/bM48QMvzrJeH8vp4d0JYWDhKpC3NvGLlBXje6jzNOUbzk1e2rr/8Ew7/AFK8/ZStbRL25ufD2neJ9YsPAtzc4PmaDDfSx2PlsCfMhWJQkT5O6JIyCQQT9C15n+xzo2k+HP2aPCfh7QNOhs7CwspLaytLdAscEMc8iJGoHRVUAAegr0yvv8si4ZdRi3f3Y6/JH5HnmMhmGc4jExjyqc5O3q3v59/M/I3/AIOqPEfxYtfB3wn8K6fLep4Ivb/UZ9VESf6PLqcaRC2EjD+IRPcFVPXLkZxxd/4Jj/tI6lN+x14E1L4vftqalpmrafHJBbaPfeOrK3SOyt52jtY2hcb9nkogwxyV+ua/TT46/s+/Bf8Aaa8ASfC749fDvT/E+gS3UVy2m6kjFBNGSUkUqQysMkZBHDEdCRXSaN4a8PeHtHtPD+haJa2ljYW0dvZWlvAqRwRIoVEVQMBVUAADoBXgY7hzGYvM6mJp4l01JLa99Fa2606/M/QsV4h5dX8NMDwz9SXtaFWc3UdrNPmato3zPntK+loR32jy/wABdV17WPA323XLmWcNdP8AZJ5mLNJFgHOT1Gc4NdrQAAMAUV9HgcNLB4SFGUnJxVrvqfl1eoq1aU0rX6BWH8TbvxXYfDbxDfeA7cy65Dod3JosSxhy92IXMK7Tw2XCjB4NblFdMlzRaFSmqdWM2k7NOz2fk/I/n4/4N+vGHx61D/gq8L6WbVbubXdK1t/iXcXcBeRoyrTNJcFhlGN8tsC3B3tt/iNf0D18e/sc/BP4TfD39rnX/iT4J8A2Gm694sXxVL4j1W3VvOv3XWYSC5YkDlicLgEnJHAr7Cr5rhOi6OWSi5N+/Lfydv0v6s/TPFvjHB8ccUwzDDYf2MVRpwtpdtJtt2005uWP92MdtlzPxpvvG+l/BzxZqfwztnm8SW/hm/l8PwxwiRnvlt3MChW4YmQIMHg9K/nX/wCCSHxb+IXhz9ui61PxJ8atU8KR+INN1I+N9bk1mKymnbDTASzXAOGa6EZI+8ST2zX9J1fHX7D3wN+EPw7/AGmdc8deCfh5p2m6z4s03xDdeJNRhjYy38w1i3IZyxOOXY4XAy3SubiXBVMXjsJGFRwbclddNL3Wq10sb8CccYHhrhHOssrYVVZYqEVGTtpZte9foubmjbaaXe68F+OGjfBDV9EuPjr8NvHFn40+K9p4n0P/AIRLxV/bNtq+rjVkukSxsomBIWNwZg0CgKyNNIwJUuv6f18c/Hn4HfCHXv27tO+Nes/D7TrnxXoWseFbXR9clRjNaQveDcqDO0Z8x+cZ+Y4NfY1XwxhZ4SrioSm5tTtd9bLfrq76+h8rxFmtPHZdgqMXJuEZNuXTm5UqcdX7kFC8fh1lK0Vuyue+KtvpVx8PtUXWW2wrbFlYKCVcfcIB77sV0NeJ/tgfFRvDHhO40fRrCW+u7SITmyiHNzO2Ft7cHBOXkZR04yDXrZ5iqeEyupKSvzLlS7uWiX9dD53A0pVsVFLSzu32SPO/2UfEPhbxp+1xrtvqMLm68L+GmtfDryRRmKWZ5Ym1J423lt8YewiPyLt3uMncQPrCvk68+B2t/s43vw+1TQrpbrVdBukv9TundB/aMlxuXVl3mIAeaZpJVAC/OsWSoGR9YRyJKiyxsGVgCrA5BFefwu/YYOWCmrVKTs13vqn8/wBDpzRc9ZV4u8ZrT5boWvw2/wCDozxR8XR+1Z4B8M6ndX8Xg218GfbPDihSsDai1zKt26sPvSKiWgPdQVxjdz+5NeV/tR/Cj9j/AOKNl4Xi/a50TwfdwWPiOJ/Cf/CW3sUCnUmB2RwmR1813A/1XzB9oypwMd+eZfPM8ulQjPlbad3to+v9b2PsfCvi7D8EcZ0c0rYZ14xjOPLFJyXNFq8b9Vs/7rkfCfwI+Ivgn9oH9mPwLof7Un7VUvijUda0bTZ/EPhDxD46tGgvbwFJI4p7VcNJ+8EbeUxOWADA8ivpz/gl5p+neHfD3xP8GeALKK38B6R8SZovB8FnbolpAz2dtLqENsU4aJL97kcZCyGRBjbtX0f9uLwJ4O+IH7M2veCvGnhy21HStVvtKttRsZ1ISeJ9TtQyEqQcEehBqj+wN4D8G/DD4Ey/D74e+HLbSNE0nxLqEGnabZqRHBH5ucDJJOSSSSSSSSSSa+fy3LK+A4jjCpXlUfs27vtzWtu9Ovqc2P4gw+NyHFKMHD21W6pq3soXalzx1+PT2a91e437zvY9rrkfjx4R+C/jv4Qa/wCFP2ibLRbjwTd2JHiKPxDcLFZCBWD7pZHZQgVlVg2RtKggggV11fnH/wAHNviT4saL+wtoml+B5b2Pw9qnjW3g8ZPaJlGgWKSSBJmHKxmdEPoXVAecA/U5nio4PL6laUeZRT07+vl38jzeB8jq8ScXYLLaVb2MqtSKU9nG2t47e9p7uq962qPvP4OeDvg/4P8AhV4f8M/A7StGh8H2elQp4cTRHSW0NptzG0TqSJFYHdvyd2d2STmuoVVUBVUADoAK/Fv/AII1fHnWIf2RW8PfE/8Aa/1Xwva6N4kuLTwvo7eNbSxWKx2RyHbHKC5Xz5JsE8dQOBX6tfs0+LNY8Z+HLvXrjXTqmnXLRy6dqInEqTh1JLRuPlZCNpBXjnivDyrifC5jiKeGhSlFteXKrK+nl0Wi6HXxrwtieGuIMbhKtdVXSqSXPd3lru7/AGtfeV3Z31e56XXh/wDwUr8R/Fjwl+wT8VvEnwPe9TxPZ+Drp9Ol02PdcRLgCaSMdQ6wmRgRyCuRyBXuFUfExYeG9QK9RYy4/wC+DX0tem6tCUE7XTV+11ufM5XjI5dmdDFygpqnOMnF7S5ZJ8r8naz8j+e3/ghh8Vdb8E/FPxt4a1H4+Xvgfwxe+H4rq8ktvEFtpy3V9HOqQAvMCWIjkuflX3J6Cv0C0TQ/hDoPx3+GnxX/AGf/ABNa658QPEPxZtrbUfE+nanDqWo63ZSqBq0V3MrEyW8VigkK8LAYYCoQkbvZ/wDgmL8C/g98Ehr+i/Cb4d6boVrqfhbw/f6hFZRsftFy/wBtDSMXJJOABjOB2Aqj4Q+CHwi0r/gorcfHTTvh9p0XjDUPG15YXniBUbz5LZdBcCPk7VGEQZABO0ZNfl2CyyusJgsQ68uWVSKUekfeeq18u3U/Z+LfEDL+IONcwzSjRlShKlblVr1LQjG1WzS5X9r4tEo215l9i0UUV+rH4Sfm/wDAH4m+O7l/gsyeLb+5+I+rfF6dPGmmzRxNdmffejW4biE8wxW8Uj4wB5arbY++m74b/wCDiDxd8dH/AOCn4sNRm1RLLRdF0l/hxGsB2hGjSR5IAB+8Y3omUtgktGF6Kor9Pvhz8EfhNon/AAUHuvjlpfgGwg8X6v401Wy1LxAqsbie3XS5QsZySFGI4/ugZ2jOaT/gop8E/hN8T/i7pfjH4g+ArDV9T8KeDXu/Dl5eKzNYTm6J8xACFJyiH5gcFQRX5jUwc48P4iPtH7tf77NR/G9/VI/feEfEHI+GON4ZnHBc8J0KicbRTjOo+e0enJG3s09G4Sk+VX5D6o+FV54v1D4X+G9Q+INu0Ovz6BZya5E8YQpeNAhmUqOFIkLDA4Fb9FFfpsVyxSPwarNVasppJXbdlsr9F5I/PL9sf4nz+GPH/wC0tf8AxJ+IN3o15o3huyHhDz3ija20w6UGtZ7NH4lL6nJeJuwd0qLHzgLWl8L/AIp+EvGlt4Zg8U/tWS+K9fa0gl/sG/8AG9ndj7e1viQpBFgl13SgAZwCeK+v/iT+zD+z/wDGD4j+Fvi98TvhPpGteJfBU5m8LaxewFptPkLK+5CDg4ZVZdwO1hkYPNdwtrao29LaMEdCEFfF4jhTF4jFV6n1pxjUbdkm7p9HqttlvofY47iPKquBw8KGH/eRjHnbUUk4wjBcjV21Llc5NpPmlaztzS5v4LeEj4H+FujeGWMu6C2LsJ8bw0jtIQcAYwXIx7V1FFFfYUKSoUY019lJfcrHxk5Oc3LuFFFFakhRRRQAUUUUAeL/AAX+H5sPjZqniNtMksxp0OoQiGNSIt93dRTOctySTHuGD0cnuK9ooorz8swCy3DexUubVu783c6MViHiavO1bRL7jl/jdf8AjnSvgv4v1T4YWzzeJbbwvqEvh2GKESNJfLbSGBQrcMTIEGDwelfm9Z/G/wALeG7n4A2PhT9pm+0CLV/DV+/iDU18QWttc3Vn9hRpJbqWbJjlOoxwqw4Jl85SPkYL+pNcD8LP2W/2efgl4y8U/EL4UfCPRtC1rxtffbPFOo2NtiTUZ98j73ySB88sjYXAJcnGa83O8lxGa16M6dZ0+S+1769Vqtem+x9HkWd5Zl2W4ijiaPPOV3DSNm3GULTb1Sjzc8LJ+8rNK/NH59+Akfg34s+NbRvC3xdk8aT2+u2N7qmrLr8Gozxi2lWaKOR4vlRP3ZABAJ3Ng5PH2BTY4YYc+VEq567VxTq6smyqWVUpxlVdRyd236Jd3+Z4GMxaxc4tR5UlawVzF78LtJvfiJD8QpLt/MiQbrbYNrSBdqvnrwO3qB9D09FehiMLh8UoqrG/K1JeTWzOenVqUm3B2urfJnNfEb4aad8RoLSK9v5LdrSYsHjQMWRsbl56ZwOe3oa6KCGK2gS3hXakaBUUdgBgU+inDC4elXnWjG0p2u+9tglVqSpqDei2+YV+G3/B0Z4o+Lo/as8A+GdTur+Lwba+DPtnhxQpWBtRa5lW7dWH3pFRLQHuoK4xu5/cmuE+OP7MfwB/aWt9FtPjz8KdI8Ux+HdUXUdFTVYC4tbkDG9cEZBGMqcq2BkHArgzvLqmaZfLDwlyttPy0fX+tz77wv4ywfAfGFLN8VQ9rCMZxaVuZc0Wrxvpfo/7rZ8G/ss/HWy+IvwB+H978cP2xLvV/Eeo6Np9xq/h/V/HNmVmvvkdEe3XD7xII2CZzuAzzkV95/s7eEm8J/DkLIJg+o6jc37pMMFTK+cAYHGACM+tdt9ktQ24W0ec9dgqSuHKshrZfjHiKuIdR8vLqtldPdt9j5jN83p5nVqTp0Y0lOblyx2V29ErLRXsvJBXP/FT4V/Dv43fD7VPhV8WfCNnr3h3WrcQ6ppN+haK4QMGAOCCCGVWBBBBUEEEV0FFfRyjGcXGSumeRRrVcPVjVpScZRaaadmmtU01qmnqmtjB+HXwv+Hvwl8DaV8NPht4QsdH0HRLJLTStMs4QI7eFRwozkn1JJJJJJJJJrdVVUBVUADoAKWiiMYxSSVkhVatSvUlUqScpSbbbd229W23u31YV45/wUG1zx74b/Yu+Imt/DW81G21WDw85N3o8PmXdtal0F1NCP8AnolsZnUjJBUEcgV7HSSRxyxtFKgZWBDKwyCD2NZ16brUJU07XTV+11udWXYqGAzCjiZQU1TnGTi9pKLTs99Haz0Z+a+tfG/wZ4d/ag0nwj4R/ajfwr4dk+Foub9dI8VWdrbykXcX9mN5sm4uWglvGVQcFNr9CCfoX9law8KeP/HWl+LfCPxAPiiHSdRub2912LVor43Fy1rJbkTTR5UsEmX5RggKvYHPs/wI/Ze/Z8/Zj8PX/hT4BfCXR/C2nanqT6hf2ul2+1ZrhlVS53En7qqAo+VQOAK7uOKOIbYo1UeijFfH4DhTE4adGVXEtqElLlSfLdO+l3+Nu572dZ3luIquGBpNQ5eVSkkpy7yko3V7uyXM7JJXdh1FFFfanyh+VVx8b9W0D4Q/C/WPFHx0v/Dnj3Vfi1JD4zu5dStrS9gvDPdjWYJvNyLeOGN3UYA2KLcD767vefAE3gT41a1deFtA+PU3jnUtQtktbiZvFFvqNzZ2xfB2iIYjTLEksMZ719P+Hv2Xf2e/Cnxw1r9pPw78JNGtPHXiKyW01rxNFb/6TdwgRjaxzgZ8mLJABbYuScV3UdvBEd0UKKfVVAr4WnwfirONTFPlcr2Sdnre713fo9e59vnnEuV42uqmCw/LfmbbUU1KbbcY8t/ch8Mdm1d2jflT6KKK+6PiAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK8f/bN/bq/Zy/YI+H2n/En9o7xRfWNjq2qGw0y10jRrjULu5lWGSeVkgt0aQpFBDLNI+NqJGzEivYK+B/+C3Hhz4l6B4i+Df7R/g/4LeK/HukeD18a6Nrmh+C9Ek1K+SbW/DN3p9lN9njyxi+0lInfpGs+48A0AfdPhXxR4e8ceF9N8a+EdYg1HSdYsIb3S9QtX3RXNvKgkjlQ91ZGVgfQ1fryL/gn/wDCbxn8Bv2Fvg58E/iLHs1/wn8MNC0nW4t4byru3sIYpY8jghXVlz32167QAVzPxm+L3gb4BfCrX/jP8S7+4ttB8N6bJfanNaWMtzKIkGSI4olZ5HJwFVQSSQBXTVyHx++IGlfCv4J+KfiHreia1qVrpOiXE89h4c0abUb6cBCNsFtArSTOc8IoJNAEX7O3x8+HP7UnwO8L/tD/AAivrq58M+L9Ii1LRJ72ze3leCT7peN/mQ8dDzXaV8i/8EKde1K9/wCCWvwo8G+IPh94t8Max4P8Px6Drmk+MvC91pN0l3Aqs5SK5RGki/eDbKBtYhgDkHH11QAUkkiRRtLIwCqCWJ7ClpJHEcbSMCQoJIAyTQB4l+yV/wAFCv2Y/wBtfxH4t8HfAzxFrD6t4Kltv7b0vxB4bvNLuPs9yHNteRR3UaNNbTCOQxzKCrbTjtn26vgL/gkP8WdQ/ae/ag+Pf7WHxX+EHxG8HeOfFV5Y6Xpmg+Mfh7qGkWmkeFdOluYdNt4rm5iSO7uZmkuLufyyQhuEQcJk/ftABRRRQB4jdf8ABQr9mjT/ANsey/YW1LWddtfHepxTHS2uvC95Hpd9PDareS2kN+0Yt5bhLdllaJXLKp5weK9ur89vjPp3in4m/wDBdH4O+Kfhd8H/AIuR3vgG31qy+IeteJdKuP8AhDI9Cm0hzBd6bLIWtxeyXcsMJeDbMVjkSQbVFfoTQAUUUUAeWftYftl/AL9irwn4d8ZftAeKpdMtPFfjGw8L6CltZvcS3epXjlYYlRATj5WZm6KqkmvU6/L7/g4P+CX7bHxJ8TeAviB8C/2Xl+JvhTwnLozWcNp4mFrdaVrknifS5XuPsqwSyXCtbWiW5mG1baK5uZW3KrLX6d6dNe3GnwT6jZrb3Dwq09usu8ROQCyhsDdg5GcDOKAJqKKKAPNP2sP2rvhX+xp8KB8Yvi9ba9cabJrVlpNrZeGNAn1S/u7y7mEMEMNtbq0kru7BQFBPNdT8JPiXo/xk+GmifFPw/omt6bZa7p6XdtYeJNGm06/gRhwk9tOqyQOO6OARXhX/AAVh8IfCHxl+yh9k+OPg74u6x4fsfFemajIfgfa3EviGxuLeUy291CLb9+qpMseXh+dSVPChiNT/AIJTL+0mn/BO/wCE6/teNrJ+IX/CML/bx8SNnUtvnSfZvtZ6/afs3kebnnzN+ec0AfQdFFFAFbWdY0rw9pF34g13UIbSxsbaS4vLu4kCxwxIpZ3ZjwFCgknsBXl37IP7bHwH/bk8CX3xJ/Z/v9budIsr8W63Ot+GrvTftaNGskV1bi5jQz20qMGjmTKOM4PBFXf21vhr4v8AjP8Asb/Fn4P/AA+I/t7xV8NNd0jRMvtBu7nT54YRk9Pndea+P/8Ag3o8NftD+Efgt438PfE3TfizY+C7G48PWngrTvjKs66pa30Wh2setxwLcfvEsF1BXWBR+6Cq3l/JigD9DaKKKACvnz4R/wDBS79nn4yftZap+xZonhr4g6R440yx1G+8rxT8PtQ0yzvbWyuUtp7i2ubiNY7iLzJECyRkq4YEE5FfQdfKH7Ofgfxn8Rv+CqHx8/ab8aeE9UsNJ8J+F/D/AMN/h/dalp8sCXsCo+rapc25kUCWJrm7t4fMTKlrMjOVNAH1fRRRQAV4F8av+CmH7JH7P37UPhn9kH4l+M9TtvGPih9PS1W18P3VxY2T388lvYJd3caGK1a5mikjiEjAuykCvfa/KD/gpH8G/jj4q/4LNfD/AMb+HfgT461eaPUPh23gHWdA0KSbwzLa2mtX82vvrsqjyvNtrWWOW0M53Ru+6H5iaAP1fooooA//2Q==", 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gZAI9P/4KA/BL4TfEj476Z488e+AbDVdX8KeFLW48OX94jM1hK19MS6DO0nKIRuBwVBGDXpX/AAUI+Efwz+Mnwq8PfD34oeC7PWtFvvGdubvTroMEkKWt265KFW4ZQeD2r8zx2V16tfMKka8koO7XSV1zWevTZaM/bM48QMvzrJeH8vp4d0JYWDhKpC3NvGLlBXje6jzNOUbzk1e2rr/8Ew7/AFK8/ZStbRL25ufD2neJ9YsPAtzc4PmaDDfSx2PlsCfMhWJQkT5O6JIyCQQT9C15n+xzo2k+HP2aPCfh7QNOhs7CwspLaytLdAscEMc8iJGoHRVUAAegr0yvv8si4ZdRi3f3Y6/JH5HnmMhmGc4jExjyqc5O3q3v59/M/I3/AIOqPEfxYtfB3wn8K6fLep4Ivb/UZ9VESf6PLqcaRC2EjD+IRPcFVPXLkZxxd/4Jj/tI6lN+x14E1L4vftqalpmrafHJBbaPfeOrK3SOyt52jtY2hcb9nkogwxyV+ua/TT46/s+/Bf8Aaa8ASfC749fDvT/E+gS3UVy2m6kjFBNGSUkUqQysMkZBHDEdCRXSaN4a8PeHtHtPD+haJa2ljYW0dvZWlvAqRwRIoVEVQMBVUAADoBXgY7hzGYvM6mJp4l01JLa99Fa2606/M/QsV4h5dX8NMDwz9SXtaFWc3UdrNPmato3zPntK+loR32jy/wABdV17WPA323XLmWcNdP8AZJ5mLNJFgHOT1Gc4NdrQAAMAUV9HgcNLB4SFGUnJxVrvqfl1eoq1aU0rX6BWH8TbvxXYfDbxDfeA7cy65Dod3JosSxhy92IXMK7Tw2XCjB4NblFdMlzRaFSmqdWM2k7NOz2fk/I/n4/4N+vGHx61D/gq8L6WbVbubXdK1t/iXcXcBeRoyrTNJcFhlGN8tsC3B3tt/iNf0D18e/sc/BP4TfD39rnX/iT4J8A2Gm694sXxVL4j1W3VvOv3XWYSC5YkDlicLgEnJHAr7Cr5rhOi6OWSi5N+/Lfydv0v6s/TPFvjHB8ccUwzDDYf2MVRpwtpdtJtt2005uWP92MdtlzPxpvvG+l/BzxZqfwztnm8SW/hm/l8PwxwiRnvlt3MChW4YmQIMHg9K/nX/wCCSHxb+IXhz9ui61PxJ8atU8KR+INN1I+N9bk1mKymnbDTASzXAOGa6EZI+8ST2zX9J1fHX7D3wN+EPw7/AGmdc8deCfh5p2m6z4s03xDdeJNRhjYy38w1i3IZyxOOXY4XAy3SubiXBVMXjsJGFRwbclddNL3Wq10sb8CccYHhrhHOssrYVVZYqEVGTtpZte9foubmjbaaXe68F+OGjfBDV9EuPjr8NvHFn40+K9p4n0P/AIRLxV/bNtq+rjVkukSxsomBIWNwZg0CgKyNNIwJUuv6f18c/Hn4HfCHXv27tO+Nes/D7TrnxXoWseFbXR9clRjNaQveDcqDO0Z8x+cZ+Y4NfY1XwxhZ4SrioSm5tTtd9bLfrq76+h8rxFmtPHZdgqMXJuEZNuXTm5UqcdX7kFC8fh1lK0Vuyue+KtvpVx8PtUXWW2wrbFlYKCVcfcIB77sV0NeJ/tgfFRvDHhO40fRrCW+u7SITmyiHNzO2Ft7cHBOXkZR04yDXrZ5iqeEyupKSvzLlS7uWiX9dD53A0pVsVFLSzu32SPO/2UfEPhbxp+1xrtvqMLm68L+GmtfDryRRmKWZ5Ym1J423lt8YewiPyLt3uMncQPrCvk68+B2t/s43vw+1TQrpbrVdBukv9TundB/aMlxuXVl3mIAeaZpJVAC/OsWSoGR9YRyJKiyxsGVgCrA5BFefwu/YYOWCmrVKTs13vqn8/wBDpzRc9ZV4u8ZrT5boWvw2/wCDozxR8XR+1Z4B8M6ndX8Xg218GfbPDihSsDai1zKt26sPvSKiWgPdQVxjdz+5NeV/tR/Cj9j/AOKNl4Xi/a50TwfdwWPiOJ/Cf/CW3sUCnUmB2RwmR1813A/1XzB9oypwMd+eZfPM8ulQjPlbad3to+v9b2PsfCvi7D8EcZ0c0rYZ14xjOPLFJyXNFq8b9Vs/7rkfCfwI+Ivgn9oH9mPwLof7Un7VUvijUda0bTZ/EPhDxD46tGgvbwFJI4p7VcNJ+8EbeUxOWADA8ivpz/gl5p+neHfD3xP8GeALKK38B6R8SZovB8FnbolpAz2dtLqENsU4aJL97kcZCyGRBjbtX0f9uLwJ4O+IH7M2veCvGnhy21HStVvtKttRsZ1ISeJ9TtQyEqQcEehBqj+wN4D8G/DD4Ey/D74e+HLbSNE0nxLqEGnabZqRHBH5ucDJJOSSSSSSSSSSa+fy3LK+A4jjCpXlUfs27vtzWtu9Ovqc2P4gw+NyHFKMHD21W6pq3soXalzx1+PT2a91e437zvY9rrkfjx4R+C/jv4Qa/wCFP2ibLRbjwTd2JHiKPxDcLFZCBWD7pZHZQgVlVg2RtKggggV11fnH/wAHNviT4saL+wtoml+B5b2Pw9qnjW3g8ZPaJlGgWKSSBJmHKxmdEPoXVAecA/U5nio4PL6laUeZRT07+vl38jzeB8jq8ScXYLLaVb2MqtSKU9nG2t47e9p7uq962qPvP4OeDvg/4P8AhV4f8M/A7StGh8H2elQp4cTRHSW0NptzG0TqSJFYHdvyd2d2STmuoVVUBVUADoAK/Fv/AII1fHnWIf2RW8PfE/8Aa/1Xwva6N4kuLTwvo7eNbSxWKx2RyHbHKC5Xz5JsE8dQOBX6tfs0+LNY8Z+HLvXrjXTqmnXLRy6dqInEqTh1JLRuPlZCNpBXjnivDyrifC5jiKeGhSlFteXKrK+nl0Wi6HXxrwtieGuIMbhKtdVXSqSXPd3lru7/AGtfeV3Z31e56XXh/wDwUr8R/Fjwl+wT8VvEnwPe9TxPZ+Drp9Ol02PdcRLgCaSMdQ6wmRgRyCuRyBXuFUfExYeG9QK9RYy4/wC+DX0tem6tCUE7XTV+11ufM5XjI5dmdDFygpqnOMnF7S5ZJ8r8naz8j+e3/ghh8Vdb8E/FPxt4a1H4+Xvgfwxe+H4rq8ktvEFtpy3V9HOqQAvMCWIjkuflX3J6Cv0C0TQ/hDoPx3+GnxX/AGf/ABNa658QPEPxZtrbUfE+nanDqWo63ZSqBq0V3MrEyW8VigkK8LAYYCoQkbvZ/wDgmL8C/g98Ehr+i/Cb4d6boVrqfhbw/f6hFZRsftFy/wBtDSMXJJOABjOB2Aqj4Q+CHwi0r/gorcfHTTvh9p0XjDUPG15YXniBUbz5LZdBcCPk7VGEQZABO0ZNfl2CyyusJgsQ68uWVSKUekfeeq18u3U/Z+LfEDL+IONcwzSjRlShKlblVr1LQjG1WzS5X9r4tEo215l9i0UUV+rH4Sfm/wDAH4m+O7l/gsyeLb+5+I+rfF6dPGmmzRxNdmffejW4biE8wxW8Uj4wB5arbY++m74b/wCDiDxd8dH/AOCn4sNRm1RLLRdF0l/hxGsB2hGjSR5IAB+8Y3omUtgktGF6Kor9Pvhz8EfhNon/AAUHuvjlpfgGwg8X6v401Wy1LxAqsbie3XS5QsZySFGI4/ugZ2jOaT/gop8E/hN8T/i7pfjH4g+ArDV9T8KeDXu/Dl5eKzNYTm6J8xACFJyiH5gcFQRX5jUwc48P4iPtH7tf77NR/G9/VI/feEfEHI+GON4ZnHBc8J0KicbRTjOo+e0enJG3s09G4Sk+VX5D6o+FV54v1D4X+G9Q+INu0Ovz6BZya5E8YQpeNAhmUqOFIkLDA4Fb9FFfpsVyxSPwarNVasppJXbdlsr9F5I/PL9sf4nz+GPH/wC0tf8AxJ+IN3o15o3huyHhDz3ija20w6UGtZ7NH4lL6nJeJuwd0qLHzgLWl8L/AIp+EvGlt4Zg8U/tWS+K9fa0gl/sG/8AG9ndj7e1viQpBFgl13SgAZwCeK+v/iT+zD+z/wDGD4j+Fvi98TvhPpGteJfBU5m8LaxewFptPkLK+5CDg4ZVZdwO1hkYPNdwtrao29LaMEdCEFfF4jhTF4jFV6n1pxjUbdkm7p9HqttlvofY47iPKquBw8KGH/eRjHnbUUk4wjBcjV21Llc5NpPmlaztzS5v4LeEj4H+FujeGWMu6C2LsJ8bw0jtIQcAYwXIx7V1FFFfYUKSoUY019lJfcrHxk5Oc3LuFFFFakhRRRQAUUUUAeL/AAX+H5sPjZqniNtMksxp0OoQiGNSIt93dRTOctySTHuGD0cnuK9ooorz8swCy3DexUubVu783c6MViHiavO1bRL7jl/jdf8AjnSvgv4v1T4YWzzeJbbwvqEvh2GKESNJfLbSGBQrcMTIEGDwelfm9Z/G/wALeG7n4A2PhT9pm+0CLV/DV+/iDU18QWttc3Vn9hRpJbqWbJjlOoxwqw4Jl85SPkYL+pNcD8LP2W/2efgl4y8U/EL4UfCPRtC1rxtffbPFOo2NtiTUZ98j73ySB88sjYXAJcnGa83O8lxGa16M6dZ0+S+1769Vqtem+x9HkWd5Zl2W4ijiaPPOV3DSNm3GULTb1Sjzc8LJ+8rNK/NH59+Akfg34s+NbRvC3xdk8aT2+u2N7qmrLr8Gozxi2lWaKOR4vlRP3ZABAJ3Ng5PH2BTY4YYc+VEq567VxTq6smyqWVUpxlVdRyd236Jd3+Z4GMxaxc4tR5UlawVzF78LtJvfiJD8QpLt/MiQbrbYNrSBdqvnrwO3qB9D09FehiMLh8UoqrG/K1JeTWzOenVqUm3B2urfJnNfEb4aad8RoLSK9v5LdrSYsHjQMWRsbl56ZwOe3oa6KCGK2gS3hXakaBUUdgBgU+inDC4elXnWjG0p2u+9tglVqSpqDei2+YV+G3/B0Z4o+Lo/as8A+GdTur+Lwba+DPtnhxQpWBtRa5lW7dWH3pFRLQHuoK4xu5/cmuE+OP7MfwB/aWt9FtPjz8KdI8Ux+HdUXUdFTVYC4tbkDG9cEZBGMqcq2BkHArgzvLqmaZfLDwlyttPy0fX+tz77wv4ywfAfGFLN8VQ9rCMZxaVuZc0Wrxvpfo/7rZ8G/ss/HWy+IvwB+H978cP2xLvV/Eeo6Np9xq/h/V/HNmVmvvkdEe3XD7xII2CZzuAzzkV95/s7eEm8J/DkLIJg+o6jc37pMMFTK+cAYHGACM+tdt9ktQ24W0ec9dgqSuHKshrZfjHiKuIdR8vLqtldPdt9j5jN83p5nVqTp0Y0lOblyx2V29ErLRXsvJBXP/FT4V/Dv43fD7VPhV8WfCNnr3h3WrcQ6ppN+haK4QMGAOCCCGVWBBBBUEEEV0FFfRyjGcXGSumeRRrVcPVjVpScZRaaadmmtU01qmnqmtjB+HXwv+Hvwl8DaV8NPht4QsdH0HRLJLTStMs4QI7eFRwozkn1JJJJJJJJJrdVVUBVUADoAKWiiMYxSSVkhVatSvUlUqScpSbbbd229W23u31YV45/wUG1zx74b/Yu+Imt/DW81G21WDw85N3o8PmXdtal0F1NCP8AnolsZnUjJBUEcgV7HSSRxyxtFKgZWBDKwyCD2NZ16brUJU07XTV+11udWXYqGAzCjiZQU1TnGTi9pKLTs99Haz0Z+a+tfG/wZ4d/ag0nwj4R/ajfwr4dk+Foub9dI8VWdrbykXcX9mN5sm4uWglvGVQcFNr9CCfoX9law8KeP/HWl+LfCPxAPiiHSdRub2912LVor43Fy1rJbkTTR5UsEmX5RggKvYHPs/wI/Ze/Z8/Zj8PX/hT4BfCXR/C2nanqT6hf2ul2+1ZrhlVS53En7qqAo+VQOAK7uOKOIbYo1UeijFfH4DhTE4adGVXEtqElLlSfLdO+l3+Nu572dZ3luIquGBpNQ5eVSkkpy7yko3V7uyXM7JJXdh1FFFfanyh+VVx8b9W0D4Q/C/WPFHx0v/Dnj3Vfi1JD4zu5dStrS9gvDPdjWYJvNyLeOGN3UYA2KLcD767vefAE3gT41a1deFtA+PU3jnUtQtktbiZvFFvqNzZ2xfB2iIYjTLEksMZ719P+Hv2Xf2e/Cnxw1r9pPw78JNGtPHXiKyW01rxNFb/6TdwgRjaxzgZ8mLJABbYuScV3UdvBEd0UKKfVVAr4WnwfirONTFPlcr2Sdnre713fo9e59vnnEuV42uqmCw/LfmbbUU1KbbcY8t/ch8Mdm1d2jflT6KKK+6PiAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK8f/bN/bq/Zy/YI+H2n/En9o7xRfWNjq2qGw0y10jRrjULu5lWGSeVkgt0aQpFBDLNI+NqJGzEivYK+B/+C3Hhz4l6B4i+Df7R/g/4LeK/HukeD18a6Nrmh+C9Ek1K+SbW/DN3p9lN9njyxi+0lInfpGs+48A0AfdPhXxR4e8ceF9N8a+EdYg1HSdYsIb3S9QtX3RXNvKgkjlQ91ZGVgfQ1fryL/gn/wDCbxn8Bv2Fvg58E/iLHs1/wn8MNC0nW4t4byru3sIYpY8jghXVlz32167QAVzPxm+L3gb4BfCrX/jP8S7+4ttB8N6bJfanNaWMtzKIkGSI4olZ5HJwFVQSSQBXTVyHx++IGlfCv4J+KfiHreia1qVrpOiXE89h4c0abUb6cBCNsFtArSTOc8IoJNAEX7O3x8+HP7UnwO8L/tD/AAivrq58M+L9Ii1LRJ72ze3leCT7peN/mQ8dDzXaV8i/8EKde1K9/wCCWvwo8G+IPh94t8Max4P8Px6Drmk+MvC91pN0l3Aqs5SK5RGki/eDbKBtYhgDkHH11QAUkkiRRtLIwCqCWJ7ClpJHEcbSMCQoJIAyTQB4l+yV/wAFCv2Y/wBtfxH4t8HfAzxFrD6t4Kltv7b0vxB4bvNLuPs9yHNteRR3UaNNbTCOQxzKCrbTjtn26vgL/gkP8WdQ/ae/ag+Pf7WHxX+EHxG8HeOfFV5Y6Xpmg+Mfh7qGkWmkeFdOluYdNt4rm5iSO7uZmkuLufyyQhuEQcJk/ftABRRRQB4jdf8ABQr9mjT/ANsey/YW1LWddtfHepxTHS2uvC95Hpd9PDareS2kN+0Yt5bhLdllaJXLKp5weK9ur89vjPp3in4m/wDBdH4O+Kfhd8H/AIuR3vgG31qy+IeteJdKuP8AhDI9Cm0hzBd6bLIWtxeyXcsMJeDbMVjkSQbVFfoTQAUUUUAeWftYftl/AL9irwn4d8ZftAeKpdMtPFfjGw8L6CltZvcS3epXjlYYlRATj5WZm6KqkmvU6/L7/g4P+CX7bHxJ8TeAviB8C/2Xl+JvhTwnLozWcNp4mFrdaVrknifS5XuPsqwSyXCtbWiW5mG1baK5uZW3KrLX6d6dNe3GnwT6jZrb3Dwq09usu8ROQCyhsDdg5GcDOKAJqKKKAPNP2sP2rvhX+xp8KB8Yvi9ba9cabJrVlpNrZeGNAn1S/u7y7mEMEMNtbq0kru7BQFBPNdT8JPiXo/xk+GmifFPw/omt6bZa7p6XdtYeJNGm06/gRhwk9tOqyQOO6OARXhX/AAVh8IfCHxl+yh9k+OPg74u6x4fsfFemajIfgfa3EviGxuLeUy291CLb9+qpMseXh+dSVPChiNT/AIJTL+0mn/BO/wCE6/teNrJ+IX/CML/bx8SNnUtvnSfZvtZ6/afs3kebnnzN+ec0AfQdFFFAFbWdY0rw9pF34g13UIbSxsbaS4vLu4kCxwxIpZ3ZjwFCgknsBXl37IP7bHwH/bk8CX3xJ/Z/v9budIsr8W63Ot+GrvTftaNGskV1bi5jQz20qMGjmTKOM4PBFXf21vhr4v8AjP8Asb/Fn4P/AA+I/t7xV8NNd0jRMvtBu7nT54YRk9Pndea+P/8Ag3o8NftD+Efgt438PfE3TfizY+C7G48PWngrTvjKs66pa30Wh2setxwLcfvEsF1BXWBR+6Cq3l/JigD9DaKKKACvnz4R/wDBS79nn4yftZap+xZonhr4g6R440yx1G+8rxT8PtQ0yzvbWyuUtp7i2ubiNY7iLzJECyRkq4YEE5FfQdfKH7Ofgfxn8Rv+CqHx8/ab8aeE9UsNJ8J+F/D/AMN/h/dalp8sCXsCo+rapc25kUCWJrm7t4fMTKlrMjOVNAH1fRRRQAV4F8av+CmH7JH7P37UPhn9kH4l+M9TtvGPih9PS1W18P3VxY2T388lvYJd3caGK1a5mikjiEjAuykCvfa/KD/gpH8G/jj4q/4LNfD/AMb+HfgT461eaPUPh23gHWdA0KSbwzLa2mtX82vvrsqjyvNtrWWOW0M53Ru+6H5iaAP1fooooA//2Q==", 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", "info": {"equation": "6+18*3=60", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "6+18*3=60", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "e4d9d2e396f0dac707d6ce6f9fadd877f58b554d483c609e84892aac5c5a8f54"} +{"episode": 51156, "episode_seed": 1474938019, "split": "train", "timestamp": "2025-10-28T03:47:43.795764", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1474938019, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 0, 2, 8])", "action": "('move', [0, 0, 2, 8])", "reward": 0.0, "image": 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", 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", "info": {"equation": "13*17=221", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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Zp8KeHtB06GzsbCyltrK0t0CxwQxzyKiKB0VVAAHoK9MrsyyPJl1GN72jH8keHxNmVPOeI8Zj4U1TjVqzmoraKlJu3yufkb/wdUeI/ixa+DvhP4V0+W9TwRe3+oz6qIk/0eXU40iFsJGH8Qie4KqeuXIzjiD/AIJ/fF3R/iZ+wR4Z8JftL/te36R3WmXOl3vhjUvH9taRS6SkjwQ20keVlETW6qhBYMyHrg1+mP7Vnw7/AGXPib8Hrrw7+2FYeGJ/BSXkE9y3i2/S1tIrhXxE/nO6CN9zbQQwJ3FeQxBX48+FfB0H7KXjLwxo+h2KaMnw+1C0tbO2iUQC1FjIixoF4CbMAAcY6V83mfD+JxWPrYmGJcE4rRXvorWeq00/PQ/Qp+IGEn4b5dw8sHy1KFaU/baa6t+69+f31zaqyjDXX3fBf+Ccfhzwt4C/aB+LfgT4MaJZad4Ii0/Qry7sNGs4o7C21+RLlLlYzGMCRrSLT3kjH3co2Bv5+wa+dP8Agnf8IPhh8DPDvjL4e/CHwTZeH9Fh1+3nj0+wVtnmyWUJdyWJZmOBySeAB0AFfRderwzBwyOgr30v97b/AAPg+K8dTzDPatandq0Y3l8UuWEY80rN2lK12ryte3NLdlfOX7bnimy+HtvdeLdDs/tWrjTUS1sEVP8ASr2SQQ2kXzMoLPK6JgkcY5r6F1XU7PRdNn1bUJdkFtE0kreigZP1NfMDeE7/APaX/aCnN3DKuneGLBtcYs6qrahL5lvp0Ryh3CONLmRsEEMITznjh4qf1qhTwNNc1Sbul2UU2389vmzjyleyqSrydoxVvm/6ueyfsm2Hg7Tv2bPBcfgS5M+ny6DDcfaZI1SW4uJR5lxLKqMwWZ5mlaQAnDswya9DrxH9jkat4YHif4eXYX+zk1iTVdEUOoNutyd91AUCKRi682UElsi4xkbcV7dXtZTi6WNy6nVp6JpadmtGvkzixdGVDEyhLuFFFFeicx/O3+3b46/alf8A4Lpahq1smqyeMtI+KGn2vgS1NoGYWSTR/YEijPytG8TK3o3mOzcs1f0SV8dfHz4J/CXxF+3hp3xt13wDYXfizQ9Y8K2mj67MrGa0he8G5U52jPmPzjPzHBr7Fr5jh6g6OKxl5N/vOvpf79fwP1PxH41wfFuW5PQoYZUXhcOqcmre89Fpb7C5bxT1TlL1ZRRRX05+WH4if8HTviH4ryftB/Djwlqcl6vgdPCEt3pCGPFtLqjXMiXR3D78iwi0GD91XGMbzn9Uv+Cc2sfE3X/2EvhPq/xihuU8Rz+B7A6iLyARSn90BGzqMYYxhCeAcnkA5rh/+CkXwT+E3xzk8FeHfi/4DsPENjYLqt9aWmoKxSO4SKALJhSM4DMMHIOeQa97+Cv/ACRzwlwP+RZsOg/6d46+Xy6g4cSYyXM3pDT1X6W09T9T4l41weceG+UZFTwyhPDSqOU9Nbv7PX3r3nfeUU9enTV5X+1H8KP2P/ijZeF4v2udE8H3cFj4jifwn/wlt7FAp1JgdkcJkdfNdwP9V8wfaMqcDHqlfht/wdGeKPi6P2rPAPhnU7q/i8G2vgz7Z4cUKVgbUWuZVu3Vh96RUS0B7qCuMbufRzzHwy7LpVpQ51dKz21fX+t7HD4V8KYjjPjOjl1HFPDScZy9pG/MuWL0jZq7ez1Xu8z6WP3F+yWobcLaPOeuwVJX5vfsd/tLX2ufBP4feJfid+2vqF34u1Dw/aNq2jaj47sj5t1LHt8t4AA+47h8ud27Hevv/wCE93rl74B0+58QtI1yyN882d7JuO0tnnO3H1rlyriLDZviXRpU5Kyvd27pW0b7nymb5LWyevUpVJxlyTcLxd07Nq68nbQ6Kvzj/wCDm3xH8WNF/YW0TSvA8t7H4e1TxrbweMntEyjQLFJJAkzDlYzOiH0LqgPOAf0cryH9uvwR4T+JX7M+seAfHmgw6po2rato9vqWn3G7y7iI6pa5VtpBxwOhFdudU3VyivFO3uv8Ff8AHY9HgbPKHDXGGBzOtS9pGlUjJx7ra6vpzK/NH+8kflv/AMEbPjxq6fshv4c+KP7X+q+F7XR/EdzZ+GNHPjW0sVisPLjkOyOUF9vnyTYJ46gcAV+nP7IHhfRI4r3xz4buFl0260exsNMltpVkt5beIyujRuM7xiUfMCQRipv2E/APgr4d/s/QeBPA/hiz0zR9J1/VLbTdPtYsRwRLeS4UZyfU5JJJJJJJr2ZVVQFVQAOgArwMiyKtB4fG1MRKSUbqLWi5o7J3e1+3RHbxvxPh+IeIcdi6GHVKNapKVla9ua+tl8T3l5ti14f/AMFK/EfxY8I/sFfFbxJ8DnvU8T2fg66fTpdNj3XES4AmkjHUOsJkYEcgrkcgV7hVHxMWHhvUCvUWMuP++DX11em6tCUE7XTV+11ufLZXjI5dmdDFygpqnOMnF7S5ZJ8r8naz8j+fH/ghl8YPE3gz4keM/BmqftDaj4I8I3GiJfXCQeJLfT4p9RWaOOI5mBy3lGbIXqFG77q1+vH7K1h4U8f+OtL8W+EfiAfFEOk6jc3t7rsWrRXxuLlrWS3ImmjypYJMvyjBAVewOcz/AIJi/Av4PfBIa/ovwm+Hem6Fa6n4W8P3+oRWUbH7Rcv9tDSMXJJOABjOB2Ar61jijiG2KNVHooxXwXD+Q1sThsPi5YiXLF8yh0vFvbW34dT9G8UON8HxZxbisfhsN7ONRRjrbmdoJXlbRt+uyXYdRRRX6EflQV/P3/wcQeLvjo//AAU/FhqM2qJZaLoukv8ADiNYDtCNGkjyQAD94xvRMpbBJaML0VRX9AlfHH/BRT4J/Cb4n/F3S/GPxB8BWGr6n4U8Gvd+HLy8VmawnN0T5iAEKTlEPzA4KgivmeLaLq5O2pWtKL9dbfrf5H6h4R8Y4Pgjix5hicP7aMqVSFtLptJpq+mvLyv+7KW+z+qPhVeeL9Q+F/hvUPiDbtDr8+gWcmuRPGEKXjQIZlKjhSJCwwOBW/RRX0sVyxSPzOrNVasppJXbdlsr9F5IK8+/aR0gan4ItLg6YLg2Oqx3CvtJMB2SJvGPZyvPGGNeg0Vy4/CfXsFUw/Ny8yav2Kw9X2FaNS17O5y/wW8JHwP8LdG8MsZd0FsXYT43hpHaQg4AxguRj2rqKKK2oUlQoxpr7KS+5WM5yc5uXc/I3/g6o8R/Fi18HfCfwrp8t6ngi9v9Rn1URJ/o8upxpELYSMP4hE9wVU9cuRnHEn/BOL47p4p/Yh8Iaf8AHz9sa/trj7FcafJ4d1Lx1Z28Z0yOV4YIHhb5/LMCquCQxXvyDX6e/HX9n34L/tNeAJPhd8evh3p/ifQJbqK5bTdSRigmjJKSKVIZWGSMgjhiOhIrpNG8NeHvD2j2nh/QtEtbSxsLaO3srS3gVI4IkUKiKoGAqqAAB0Ar5bH8N4vGZlUxMMS6akkrK99Fa2606/Nn6pifEPLq/hpgeGVgl7WhVnN1NLNPmato3zPmtK+loR32j57+zB4XGlaBq/igNJ/xPNQjmXdjYVjgjiDJxyDt68+1en0AADAFFfRZfg1gMFTw6d+VWv3Py/EVniK8qlrXKmvaNaeIdFutDvs+VdQNG5XqMjqPcdazvh94HtPAHh8aHbXbXDNK0s07Jt3scDpzgYAH4VuUVpLC4eWJWIcffSaT8mSqtRU3TT0etjmPB/wu0rwd4l1HxJZ3jyNfEiOJkAEKltzKD3+b9APrXT0UUYbC4fB0vZ0Y8sbt2827sKtWpWlzTd2FFFFdBmeLfEb4fHxH+0Hp0o0ySISXmm3sl1Ap/eizlWZSxORgMu04xww7kGvaaKK8/A4BYKpWmpX9pJy9LpaHRXxDrxgrW5VYKKKK9A5zyj9qPw2+uWmjzxaSZpEa4t47iNGZ4zMqLtGOPm2jqOqivRPBegp4V8HaT4Xjd2XTdMgtVaQgsRHGqZOOM8dq06K8+hgFQzCtiua7qKKt25Vb8ToqYhzw8KVvhv8AiFcJ8cf2Y/gD+0tb6LafHn4U6R4pj8O6ouo6KmqwFxa3IGN64IyCMZU5VsDIOBXd0V2zhCpFxmk12eosLisVgq6r4eo4TW0otxa6aNWa00I/slqG3C2jznrsFSUUVZgFfNf/AAUQ8Ra7oup/COwutXubHwpf/EIx+I54iEhluFsbh9Ohncn5Y3vFiwOjSrEvJYKfpSuf+Knwq+HXxv8Ah9qnwp+LPhCz17w7rUAh1TSb9C0VwgYOAcEEEMqsCCCCoIIIrhzLCTx2AqUIy5XJWv8A106PyPVyTG4bL8zp18RHmgrp2SbSlFxcop6OUb80bte8lqtz88/hP+0D4en8efE3Tb79s++0HSNO8fSwaBp9v40sbKFE+yW0l0I1YFnQXj3I3knJDDPFfcP7NPizWPGfhy7164106pp1y0cunaiJxKk4dSS0bj5WQjaQV454rrfh18Lvh58JPAulfDP4beD7HR9B0SzS10rTLOECO3hXoozknuSSSSSSSSSa3VVVAVVAA6ACvEyrh7F4DEU6tTFSmoq3Lrba3d6Lpp0R2Zzm2Cx1aosNQUIOyT05rRSV5WVuaVry1ere4teOf8FBtc8e+G/2LviJrfw1vNRttVg8POTd6PD5l3bWpdBdTQj/AJ6JbGZ1IyQVBHIFex0kkccsbRSoGVgQysMgg9jX0lem61CVNO101ftdbnl5dioYDMKOJlBTVOcZOL2kotOz30drPRn5r618b/Bnh39qDSfCPhH9qN/Cvh2T4Wi5v10jxVZ2tvKRdxf2Y3mybi5aCW8ZVBwU2v0IJ+qP2TPiPdeONUhTw38VpfGOk21vLDd6o2sR3w3g7gHli+TzAXAxwdpHoK9E+BH7L37Pn7Mfh6/8KfAL4S6P4W07U9SfUL+10u32rNcMqqXO4k/dVQFHyqBwBXdxxRxDbFGqj0UYr5LLeF8Zg50pTxTtB35Vfl9N+vXTue5nec5XiqrhgqPuKKipSSU5dXKSjdXu7JKTskld2HUUUV9kfLBXi37THw8Hjnxdp2mDTJAdV046e17bqfM2GQllycqNoO4ZHck8CvaaK8/M8AsywjoOXKrp39GmdGFxDw1X2iV9/wAUFFFFegc4UUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFeP/tm/t1fs5fsEfD7T/iT+0d4ovrGx1bVDYaZa6Ro1xqF3cyrDJPKyQW6NIUighlmkfG1EjZiRXsFfA/8AwW48OfEvQPEXwb/aP8H/AAW8V+PdI8Hr410bXND8F6JJqV8k2t+GbvT7Kb7PHljF9pKRO/SNZ9x4BoA+6fCvijw9448L6b418I6xBqOk6xYQ3ul6havuiubeVBJHKh7qyMrA+hq/XkX/AAT/APhN4z+A37C3wc+CfxFj2a/4T+GGhaTrcW8N5V3b2EMUseRwQrqy577a9doAK5n4zfF7wN8AvhVr/wAZ/iXf3FtoPhvTZL7U5rSxluZREgyRHFErPI5OAqqCSSAK6auQ+P3xA0r4V/BPxT8Q9b0TWtStdJ0S4nnsPDmjTajfTgIRtgtoFaSZznhFBJoAi/Z2+Pnw5/ak+B3hf9of4RX11c+GfF+kRalok97ZvbyvBJ90vG/zIeOh5rtK+Rf+CFOvale/8EtfhR4N8QfD7xb4Y1jwf4fj0HXNJ8ZeF7rSbpLuBVZykVyiNJF+8G2UDaxDAHIOPrqgApJJEijaWRgFUEsT2FLSSOI42kYEhQSQBkmgDxL9kr/goV+zH+2v4j8W+DvgZ4i1h9W8FS239t6X4g8N3ml3H2e5Dm2vIo7qNGmtphHIY5lBVtpx2z7dXwF/wSH+LOoftPftQfHv9rD4r/CD4jeDvHPiq8sdL0zQfGPw91DSLTSPCunS3MOm28VzcxJHd3MzSXF3P5ZIQ3CIOEyfv2gAooooA8Ruv+ChX7NGn/tj2X7C2pazrtr471OKY6W114XvI9Lvp4bVbyW0hv2jFvLcJbssrRK5ZVPODxXt1fnt8Z9O8U/E3/guj8HfFPwu+D/xcjvfANvrVl8Q9a8S6Vcf8IZHoU2kOYLvTZZC1uL2S7lhhLwbZisciSDaor9CaACiiigDyz9rD9sv4BfsVeE/DvjL9oDxVLplp4r8Y2HhfQUtrN7iW71K8crDEqICcfKzM3RVUk16nX5ff8HB/wAEv22PiT4m8BfED4F/svL8TfCnhOXRms4bTxMLW60rXJPE+lyvcfZVglkuFa2tEtzMNq20VzcytuVWWv0706a9uNPgn1GzW3uHhVp7dZd4icgFlDYG7ByM4GcUATUUUUAeaftYftXfCv8AY0+FA+MXxetteuNNk1qy0m1svDGgT6pf3d5dzCGCGG2t1aSV3dgoCgnmup+EnxL0f4yfDTRPin4f0TW9Nstd09Lu2sPEmjTadfwIw4Se2nVZIHHdHAIrwr/grD4Q+EPjL9lD7J8cfB3xd1jw/Y+K9M1GQ/A+1uJfENjcW8plt7qEW379VSZY8vD86kqeFDEan/BKZf2k0/4J3/Cdf2vG1k/EL/hGF/t4+JGzqW3zpPs32s9ftP2byPNzz5m/POaAPoOiiigCtrOsaV4e0i78Qa7qENpY2NtJcXl3cSBY4YkUs7sx4ChQST2Ary79kH9tj4D/ALcngS++JP7P9/rdzpFlfi3W51vw1d6b9rRo1kiurcXMaGe2lRg0cyZRxnB4Iq7+2t8NfF/xn/Y3+LPwf+HxH9veKvhprukaJl9oN3c6fPDCMnp87rzXx/8A8G9Hhr9ofwj8FvG/h74m6b8WbHwXY3Hh608Fad8ZVnXVLW+i0O1j1uOBbj94lguoK6wKP3QVW8v5MUAfobRRRQAV8+fCP/gpd+zz8ZP2stU/Ys0Tw18QdI8caZY6jfeV4p+H2oaZZ3trZXKW09xbXNxGsdxF5kiBZIyVcMCCcivoOvlD9nPwP4z+I3/BVD4+ftN+NPCeqWGk+E/C/h/4b/D+61LT5YEvYFR9W1S5tzIoEsTXN3bw+YmVLWZGcqaAPq+iiigArwL41f8ABTD9kj9n79qHwz+yD8S/Gep23jHxQ+npara+H7q4sbJ7+eS3sEu7uNDFatczRSRxCRgXZSBXvtflB/wUj+Dfxx8Vf8Fmvh/438O/Anx1q80eofDtvAOs6BoUk3hmW1tNav5tffXZVHlebbWssctoZzujd90PzE0Afq/RRRQB/9k=", "info": {"equation": "13*17=221", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "57bf375dbfb7695e7706d25d009b83a2529aedcf4f4fcff6c326efd3f7e9ff8d"} +{"episode": 51157, "episode_seed": 2576652753, "split": "train", "timestamp": "2025-10-28T03:47:43.864588", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2576652753, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [1, 0, 2, 7])", "action": "('move', [1, 0, 2, 7])", "reward": 0.0, "image": 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", 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", "info": {"equation": "21+31=52", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", "info": {"equation": "21+31=52", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "c0fc9b4581b88ba2cf614f219b46a205d5971aad2ac2b74ec85ab752f5739682"} +{"episode": 51158, "episode_seed": 2533296809, "split": "train", "timestamp": "2025-10-28T03:47:43.947742", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2533296809, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 0, 9, 1])", "action": "('move', [6, 0, 9, 1])", "reward": 0.0, "image": 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", 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DKCo4Uhy3A4FblFFfQxXLFI/O6s1Uqymkldt2Wy8l5H85X7CPxg+Nmkf8FWfEHiP4sfFvVvB+s63qOu2/xE1abUodPmQgySNBI8w2xgXMUChB02Ko4r9HbGx+Ef8Awu/wF8ZPg/47g8U/EXVPippFjP4qttZg1TU76zcLFf2ksiE/6MmmLPI0YAVBGsmA3zH7K+HHws/ZN8PfH3x144+F+h+Ek+I2rLaf8LBl0y6ik1EApmD7TEGLQ71G4ZVfMwGO4jNeN6t8GvhWv/BSCD43DwLYf8JbFrUGmxa9sbz0tDoTsYhztAJJ5AzgkZwcV+c1sgxOAnRnLEuSdaKsr2u5b7/F303vqfuPFPiPgeJeIfr9PCSw6jhY03FJfvLRvyy1X7p8yS+K9OMfdu/d+sq8T/4KQa/8T/C37B3xY8Q/BqS8TxJaeCL6TTpdPTdPF+7PmSRjrvWLewI5BGRyBXtlNliiniaCeNXR1KujjIYHqCO4r9Cr03Woypp2umr9rrc/GcsxkcvzKhipQU1TnGTi9pcsk+V+TtZn8+P/AARI8Y+OJ7P4qeBbrxHdf8IzZeBr/ULXT2mXyre+lEMck6g8qzRxRgnpiNc9BX7a/smeNNS8c+Fpdai8Yt4h0p7e3+xayb1blbhgpVmWVPlcnaNxXjPpmvH/AI9fs6/BD9mXwZZfD/4B/DTTPC2jT6D4lvptP0qIqj3Ei2IeQ5JJJCqOvAUAYAAr63s0RLSJUUKBGMADA6V8NkGS18Hm04yrP91y3SvaXNF26/Z6afcff+JXF+C4xz6vmuGw/s4V3onbmXIoxu7aXla7s+u73JKKKK++PzI+Tv8AguB4g+KHhr/gmJ8T9Q+FEt5HeyWFtb6lLYJukTTZbqKO86chDA0gcjohY8DJr50/4NbtV+It3+yV480rXorj/hGrTxwp8OySwAIZntkN0qN1YAiAkdAWPqa/QT9prTrHWP2cfH2kaparPa3fg3U4LmB/uyRvayKyn2IJH41wH/BP34X/AA8+DXwr1/4dfCzwjZ6Hodh4vl+yabYqRHGXs7N2PzEkkszEkknmvnK9FviijU5n/Dlp00f/ANt+CP0vA8X4TDeFWL4ceGTqVMRCoqmmiUVp3uuWy6cs5bdfd6/FT/g6k8Q/FEfGP4WeGLmS8TwYvhq6u9PAjxBJqn2gpOdw+9IsItuD90Scffav2rrivjT+zl8Df2i7TRrD44fDHSvE0Ph7WY9V0aPVIS4tbuMELIuCM8HlTlW7g4Fd2dZfUzTLpYeEuVu2vTR31OHw04vwnA3GFDOMTQ9rCmppxVr+9FxTjfRNX+658AfCHxD8K/2jPgf8PdJ/ac/aDtvHerTaFYahqXhDxR4wsrm2/tP7H+8Z7NMBmTfKQrZCHJxlQR9gf8E2Jr2T9i7wdA8txJp1r9vtfDEtzEEaTRIb+4i0xhjhkNklsUf+JNrZOc0z9v74SfDT4yfCTRfh78UPBlnrWi33i+1N5p10GCSlIbh1yUKtwyg8HtXdfstWNlpX7OHgfS9MtI7e2tfDFnDbW8KBUijSJVVFA6AAAAdgK8PJsurZfntWFSs6j9mtX5y9Xtb8TmzbPKGYZA6cIOHPWc1BW5IJKWkNftOeq5YpKEdZX93va534swaZP8O9VGrNiJbYsrBQSJARsxnvux+ddFXjH7YXxIvPDvg2Xw/4btGu9T2LJBaL0muHby7aLODjdMyZOOBzyK9zO8TDDZXVcle65Uu7lokfLYGnKriopaWd79ktTjf2Jdd8NeMvjX8QtXeMnUtHtrPStKeWOPDWSyTfaJIWDlmDXiSRSAquDaxdetfTNfMvhD4P3X7OHxi8B2nh6686Cz01tM1eeaSNWvbe6VWnlLeWMv8AbYo5sDZ8rP3IU/TVcfDUlTy94WStOk3GS+d0/mmbZmubEe1TuppNf5fIKKKK+hPOPwS+DPjX9pa9/wCDkGbUdVXU5fETfFbUdPv4prUFk0BVliA2kYWFdPVGVh/CFYEkjP7218pW/wAHfhdB/wAFKJvjhF4HsR4un1z+zZdfKsZzaDw2GEXJ2gZA5AB4xnFfVtfN8OUXRhiU5N/vZ7+Vvz6n6X4l8YYTi+vl1Shh1RVHDUqbStq43va32VtFPVIjvLW0vrSWy1C2jmgmjZJ4ZkDI6EYKsDwQRkEGvOf2Wvhn+yv8NvhND4d/ZG0jwrD4Oa/uJoT4UvI7q0e5L4mbzUdwzhl2n5iRtC8AADif+CqXiD4oeFv+Cd3xc174NyXia/b+EJzBLp8e6aK3LKt1IncFbczNuHK43DkCvyT/AOCFvxl1rw34L8feCPFv7TmpeCfDVrfWd1o1hF4rttPikvJVkW5dRMCWOyK3zjgYHc0s4z7D5RjqcKlJyvFu6tda7K/prr2LyDgfF5x4c5hntPF8kKNWnF0ru09lzNXtde09zR6c+x+9aqqKERQAOgApa8t/Zb8Yal428M3OtjxU2uaZKIW0/Vvta3CXHykMySL8rg4UkrxkmvUq9jLsbDMcHHERi0pX0e+ja/Q/OMTQeGrOm3ex+b//AAc6a/8AE/Sv2GNA0rwhJeJ4f1Pxzbw+LWtkyjxLDLJbpKR0QzojehdE74B8g/4JafGy2139iPwtoPxq/azvLP7NNcafZ+FtQ8a2lvCdNik8uCBoH/eeWVBUAkEqABxiv0d/bu+H/gz4qfs533w8+Ifh2DVtE1XXNJh1HTbnd5c8f9oQNtbaQeqg8EdK0P2N/Cfhjwl+zh4c8LeGdBtbHTtMN5a2FnbwgJBDHeToiKPQKAPwr5XMsqr5hxDKEK8qd6ael9r2tutOp+nQ43wMPC2hw+8InUhiZVOfTVOOnS/NrZ9OWMflqfs4+GH8OeAprqUSh9W1SW+ZZRjG5UQYGBwRGDz6+mK76iivrcFhlg8HToJ35ElfvZH5fXqutWlUatd3PxB/4OkvFHxWh/ae+GugXVzexeE7Twc95oICYgOptdyLdMp/ikWNLPIP3Qy4+8c/SvgnVvgx+0b8LfBemftOftAWfxA1FtDtdQ1Lwt4q8Y2V1ax6ibEi4lNqhUb41e4xnIjBZhgqGH27+0V8Mf2UviNfeDJv2ndG8KXVxpfimCbwOfE93HC39rH/AFSW4d182Vto/dDdv2jKnAxxv/BQb4O/C740fDLw14C+Kvgex1zR7jxnFLNp94rBHdLG9ZCdhB4YA9a+LzzIsRfFYxYhqLV+VX1stnqvlo9D9gq8e4PH8N5Hk6w0qMsK6idaKXM+eWrp6xu7azvKN5dTX/4J5at4m1v9jLwJqHii9vrpzpsyaZd6km2e40xLmZNPlf8AvF7Nbdtx5YNuPJNez1xn7ONvb2f7Pnga0tIEiih8IaakUUahVRRaxgKAOAABjFdnX2uDi4YSnG97RWvfQ/Kc1xUcdmlfExjyqc5St25pN26bXsFeQ/tPeBG8caloumf2c5+2QXGni8gBMkazNGXUdQOEDcj+A9ga9eorLMsCsxwcsO5cqbWvo0/0OfDV3hqyqJXtf8VYKKKK7jA/nO/YP+NXx20T/gqj4j1f4q/GTWvB2p+INT1uH4kajJqsWnybkMsnkytN8ke25jiUKBkYCrgZFfsL+y3H4R+I/wAQ7HxF4V+KT+MDpmqSXupa0utw6hI032R4ESaWL5RhHUBeDgD8fdfB37NvwI+H/wAVfE3xw8GfC3SdO8WeMhEPE2u28GJr8RjCb8nA6AnaBuIBbJGa7WOKKIERRKoPUKuK+LwfCmJoV4VKmJbjGfNy62dnddd310P1PxG8QsBxrmsMXhcGqKVCFJ7bxTvstk3yx1+GMbpbJ1FFFfaH5YeR/tUeCT42g0nTBpzubqK708XUCkyRC4EYZR1AzsB5HVPrXrcaCONYweFAAzS0VwYfAqhja2I5r+05dO3Krfib1K7qUIU7fDf53YUUUV3mBifEnSxrfw+1vRm09btbvSp4XtWBxKrRlSvHPIJ6Vy/7Nfhl9A8EXuoSCUNrGrvelZRjH7mKEY46EQg8+p7Yr0OiuGeBU8xhi+b4YuNvVp3/AAN1XccM6Nt2nf0Ciiiu4wOB/aN0v+0fAkE400XBs9UinQ7STCQrrvGP97bz2Y1vfCjwwPBfwz0HwoGkP9n6VBCfOxvyEHXAHNdBRXDDAqGYzxfNrKKjbtZt/qbyruWGVG2zbv6hXOaj8NtL1H4gWnj+W6cS20O024QbXYZCtnqMAnj2Hoc9HRW9fDUMSoqrG9mpL1WzM6dWpSbcXa6t8mc54w+G+l+MNf0vX7y6eNtNl3NGqgiZQQwUnt8wHPoSPcdHRRRSw1CjVnUhG0ptNvvZWX4BKrUnFRk9FsFFFFbkHkSeB2vf2ox4hOnPALSc6g0sSnbOxsDaKzE5/hbHGOYx6HPrtFFcOBwKwKqJSvzzlP05unyN69d13HS3KkvuI7u0tb+1lsL62jmgnjaOaGVAySIRgqwPBBBwQa4/4Ifs7fBD9m3wKnwz+Bfw00vw1oSXct0NN06EhDNIQXkJYkknAGSeigDgAV2lFdjhBzUmtV166hHE4mGHlQjNqEmm43fK3G9m1s2ruze13bcRVVFCIoAHQAUtFFUYHzj/AMFAPEGtaPrnwksLjVriy8N3/jySPWpIyqwzXS6fctYQTOfuo1yFKj+KVIl5JAPzX+zv+0d4aZtdv7v9tC5s7Wz+Imrx6BpD+NLC3t3sku22KsOMtEZPNCnOXXBBIINff3xc+EHwz+PXw71L4TfGHwZZeIPDmrxompaTfoTFOEdZFzgggq6KwIIIKgir3g/wL4O8AeFNM8DeC/DVnpukaNYQ2Wl6fawBY7a3iQJHGg7BVUAfSvlcy4exeOzKWJp4h004paXvp03WnX1PraWeZZTyCGFdDmrRdrtR5eW8pc19+duXK9LKMVq72jm/By913UPh9ZXPiCSR5iXEckxJd49x2k55PHfuMGuooor6LCUHhsLCi5czikrvd2W58tVmqtWU0rXd7H4if8HRHjH4v6Z+1P8ADHTU1HUbTwzp/hJtQ8OSw5jjXVftji5kRxyZVRLP3UFSMbjn6z/Z++LWl/Ebwf4Jbx1+1HceLPFt1oVpc3Ph+/8AGFndMupPZjzyltCA3mLvmGBnaC3HHH2n8YP2cvgb8f7rw9efGf4Y6V4jl8J6ymq+HX1KEubG7TBEi4Iz0GVOVO0ZBwK7JbW2Rt6W6AjoQgzXy2N4XxONxtaqsS4xqW0V3fS1nqlZdN9D9OzjxBwGY8GZTk1PBqNTBqpzT097nldcul1fed95aox/hr4cXwf8O9B8Jo0hGmaNbWoMuNx8uJU5wAM8Vt0UV9dTgqcFFdFY/LpPmk2FFFFWIKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK8b+O37e37MX7N/x38B/s4fFrxzPYeKviNcCLw/bQ6XPNDHvmS3he6mjUpapLcSJBG0pUSSsEGTXslfmd/wVV+Cfxv8Y/t/eHdM8CfB7xRr1j8U/DngLRNL8S6PpLz2Hh+40Hxymt38l9Mvy2ifYmMkbPgSPEUXLYFAH6Y0UUUAFeXeAP2xPgb8TP2nfG37IfhDWdQn8afD7SrLUPE1tLpE8VtFDdZ8ry53UJMePmCE7TwTkED1Gvi7wP8AFaO7/wCC6Xjfw4vws+IMVpJ8DdH0CLxTc+BL+PQ5b+2vr/UJY01Ex/Z3AgvIACGwZN8Y+ZCKAPtGiiigBk88VrA9zcSBY40LOx6AAZJryH9kb9uz9nb9t2z8T3HwH17Vpp/B+rR2Gv6dr3h660y7t2liE1vN5N1GjmGaJhJFIBtdeRXr1xMtvbvcOjMI0LFUXJIAzgAdT7V8Q/8ABG74nah+0P4m+On7UnxF+Fvj/wAIeOvHvji2m1XQfGvgS+0aLS9GtIpbPR7K3kuokW9dbaB555Y8hZbwrwAuQD7hooooA5n4yfFrwj8CfhfrXxd8djUG0nQbI3N3FpGlzX13KMhVjht4FaSaRmZVVEUszMABWP8Asx/tLfCX9r34J6P+0B8EdYur3w7rZuEtmv8AT5bS4hmgnkt54JoJVV4pY5opI2RgCGQ1H+1f4r0PwX+zf4z17xR4Z8a6vpY0Ka31Oy+HFvPLrv2afEEstktsyzedGkjSqYT5q+XlMsAD4r/wRS8DePvhx/wTo8G+FPH3g7XtBMer69PoGneLLL7PrA0ebWLybT5NQQgMLx7V4ZJS43l3Jf5i1AH1ZRRRQB5x+1r+1f8ABP8AYj+AGvftMftDeJJdK8J+HFgOo3VvaPcSlpp44IkjiQFpHaSRFCgZ5z0FehWV3BqFnDf2xJjniWSMkYJVhkfoa/P/AP4OMfgx+1J8bP2MBov7PnwJ/wCFiaVpdprV/wCKNAttYFtdpJ/ZU9vZXUEIile+eGS4kmW1RQ0kkcWGUrz9zfCq68UX3wv8N3vjfw0mi61NoNm+r6PFei5WxujChlgEwVRKEfcu8Ku7bnAzigDfooooA8d+Jn7cHwd+Fn7UPhj9kPWPD/jPUfF/irTYNQtW8PeDL2/sLC1muJbeOa9uoUaOzjMkMg3SlR8vWvYq+Af+Ch3hLxj/AMPLfgT44/Z88KfGmH4jy654fsNV1zw7BOPBlx4Pj1C8l1e31SRP3JlSGWRkSb5t8kBiyd+Pv6gAooooA8m8F/tr/AH4hftR+Jf2QPCGuane+MPCNis+vPFoNz/ZtvIUhka0+3bPs7XSxXEEjQB96pKrEdces1+Yv7DPwY/al+D/APwWt+LsUtj8Trfwjr/iTxb4g8Vy6qZ/+EQvLC9XRpNCksN37lr8SDUY5in7wJDtf5RHX6dUAFV9X1OHRdJutYuYZ5I7S3eaSO2haSRlVSxCIoJdjjhRyTwKsUUAeI/sb/t+fAz9uOXxdZfCHRfGml33ge/tbPxJpXjjwXeaJd2stxCZ4QYbtEc7o8P06Mp6MM+3V8w/8EuvBni7/hB/il+0P8RPC2p6Rrfxc+NfiHxALHWrGS2u4dLt510rTEkjlAdAbHTreRQQOJcjgivp6gArif2jf2hfhd+yp8Ftd+P3xm1e4svDnh6COS+ls7GS6ndpJUhiiihiDPLLJLJHGiKCWZ1A6121fMn/AAWL8JeNPHP/AATn+IXhfwP4L1nxBNcNpLanpfhuya41RtLTVrOTUJLGNQWN5HaLcSQlPnEsaFPmC0Aew/s2ftGfCz9rL4LaL8fPgxq11eeHtdWcWrX+ny2lxDLDPJbzwTQSqrwyxzRSRujAFWQiu6r5f/4I3eEvF/gj/gnn4L8O+L/BWu+HxHqeuy6Jp3iuya31f+yZdZvZdPm1BHAcXkto8Esxk/eNJIzP8xavqCgArx39sT9vH9mn9hDw5oPij9pHxldaVbeI9Waw0xbDSZ72Q7ImmnuHSBGaO3giVpJZmASNBliMivYq/PH/AIOIfgJ48+MX7P8A4ZvvgunxBPjxk1/wt4ch8D+BRrsN/HrmlyWNxY32XX+z4Jl2D7ecrBsJIyy0AfoXb3EF3bpd2sySRSoHjkjYFXUjIII6gin1gfCrwtfeBvhf4b8E6pcrNc6PoFnY3EynIkkigSNmBPqVJrfoA//Z", 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", "info": {"equation": "15+14*1=29", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "15+14*1=29", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "7b5c4fcdbceb39a9460df7732f142cbb9c2087a9f1e14797f83804004c6fc88c"} +{"episode": 51159, "episode_seed": 2679092975, "split": "train", "timestamp": "2025-10-28T03:47:44.002604", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2679092975, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 8, 1, 6])", "action": "('move', [2, 8, 1, 6])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "98/14=7", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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4JZ/Evxv8Ov21fC134W+J934UtdWeSy8T6xbalDakaawEsoaaYFUBaKM565UAcnB/XnWrT9mj49+ItG0v4l/HXT/ifPp9xJNoXh7xP4xtNUt0uGjIaZLNcJLKI94DMr7VZ8YyTWh/wTu/Zu+A/wAHPiz4A8W/C/4WaVoup+JPAN3Lrt9axsZLxvJsZPmLs2Bvdm2rgZPTgY9i/wCCkHwV+FHxw0P4e+Afi14Dsdd0aTxjPO9hdhlQyR6VfFGyhVsgk96/KMNlOIq8P1MSq8lGN/c1s7fP9D9u8Q/EXLeMOO6GNw1CWHioRg5qzq/au7JxT0bilzq8d2r2XPf8EiRHpnw8+I/g34fs7/C/Q/iPdW3wwkjRTai0aGKW9itJVz59umoPdoj5YcEBjjj65rxj9gXwr4b8C/s3Wngvwbodtpmk6V4l12103T7OPZFbwpqt0FRR2AH4nqck17PX6RktN08ooRbv7kfxV/w2R+O8S4+GaZ7XxMI2Updd3ZJc0n1nO3NN9ZNsKKK4j41fEOHwpob6DYyN/aOoQlYdoH7tCcM5/UD3+ldOOxlHL8LKvVdlFff2S83seRQozxFVU4bs8R/aq+Ivifxt4osfh58M7kf254h1IaF4WYIjiGRlZ7m+KNIodIIY5pzg/MIkXqwB+hfhX8NPCnwc+HOi/C7wRYC30vQ9PjtbRABuYKPmkcj7zu252bqzMzHkmvDv2MfAUvjbxzrf7S2vWbLawfaPDvgaKUqdtpFMFvbwKYwyGe4hCL8xzFbRsMBzn6RrxuHMJVVGeOr/AMSs+Z+Uei+79Ox25lVhzqhT+GGnz6sKKKK+kPNCiiigD+f7/g5Q8W/HHVP2/T4S+IEuop4P0rw9ZyeALeaLZatFLBGbuaLHDublZEdj82IkU8KtfqB/wQk174xeIP8Agmd4Cn+MkF2ststxbeHHvbYRPJo8b7bRgAAWTYMIxGWRVPIwTp/8FDv2fvgt+0N8WPhz4d+Nvw50/wASWOn6HrtzZW2ob9sUxuNKUuNjKfukjByOelewfsYWtrYfsp+AbCxto4YIPDVvHBDCgVI0VcKqqOAAAAAOABXxmWYaVLizFtzb0T/8Cs7fLZH7XxZ4iZfnvhXlXD9LBqFTDv3p6W91SjeNtb1L81S9ve/mvdenUUUV9mfih/MN/wAFbfGXx38Tf8FF/idc/HW41JNV0vxVc2egw30Xl/Z9IjmY6eIVHAjMBjkBH3jIznLMTX6jfBH45ad8TP2aPDI/aC/bn1Qa3r3hKAeLtNl+JFlaEyzQ4mjZY9rRZDEEKVZc8EEV9zfFH9jT9lr41fFfQvjl8VvgfoOu+LfDXlf2Jrl/bFprbypDLGOCA4SQllDhgCTjGa6r4r2lqPhf4lcWseRoF4c+WP8Ang9fDPhPGrEVqscU4qTb0vdrX4tV38z9x438WMr4q4dyrLsPgFSnhIpOWmjSUbU7K6i7czvZ3sul38F/AbwH8JfhF+3l8HbT9kTw1o+ly61oOp2/jmz8JWkL28/hZLIyW11dFM7QL5bNYpyd0pkkG58Hb+i9fEP/AATm/Zy+BfwC+M2jz/Br4X6X4ek1z4YXc2ry2KOXunWfSSpZnZjgF3IAIALE45r7eru4NpuGSp3veUn6dLL7r/M/P+Nszo5lmdNU5Sn7Omouc7Kc3zSnzSSlLbm5I+9L3Yx16Irnfi34X+GPjX4Ya/4W+NOnaVd+ErzSZ08Rw62yrafY9hMrSs5ARVUFi5I27d2RjNdFX5x/8HMni745eG/2JtF0z4bT6jB4X1bxQtt49nsI/lNvs3W8UzjlInmAz2Zgik8gH3cyxUcFgKleUeZRW3f/AIHfyObgnIa3E/FmDyulW9jKrNJT/ltrdbe9p7qurysrrc+0P2U/hj+yj8NfhDBoH7H+keFIvBkt9PcQv4TvI7u0muSwWVzMjv5j5UKSWJAQLwFAHpMcEERzFCik9SqgV/Pj/wAENfjd448J+LvF/wAO9c/aP1TwV4GGlf2gLeLxNb6fBJqrSwxqymcHLmFZMhOoRd3Ra/VL4P8AxmHiC6bw/wDDr9o668a3kdwtwYh4ng1GaLOEAIg5EZ9GGMk18nh+NMFHDxj7CSeitFK3y/TTyPqfETgPG8McX4nA1cX7dpqXtJN875kpe/e/va66vv1sfX9FMgMzQI1woEhQeYF6A45xT6+5Turn5cFFFFMD4K/4OM/Fnxy8K/8ABO+5T4PS6jFpupeJ7Wx8eXGnRZKaPJFPuWRhzHE9wLaNiPvB9h+ViD8Tf8Guev8Axitv2qPHHhvw7Bdv4HuvCCz+KHW2DQR30cwFjukI+Ryr3YVQfmAfg7cj9ff22dK07Xf2RviNoesWaXFpe+EL23u7eT7ssTxFWU+xBI/GvJf+Ce3wI+Dv7PnxT8eeDfgn8O9O8N6Zc+H9Furi005WxLMbnVF3szszMdqgDJ4A4xXxmYYaT4uw0+d6xb9OVPT0fX5n7ZkPiJl+W+EGP4ang1KrVndT0t7zj70uvPC3uNeW1tfquiiivsz8TPwl/wCDnnxd8cbr9rvw14J8VT6jH4DtfC0d14St2j22k10zMt5IpHEkoIiVs8qpXgBst6X/AMElP2ivFOqfsfWFj8af2z9Z8PtpOrTad4Z0ubxxZ2Zh0qKKFYlWOUF9gfzlUt/CoA+ULX6oftDfssfs9ftX+GLPwb+0T8KNK8V6bp179rsbfUkbNvNsZC6MhVlyrEEA4PGQcDHX+HvCXhfwloFj4V8MeH7Ow03TLOK00+xtbdUitoI1CRxooGFVVAAA6AV8ZieGMbXzOriYYlwUu17+j1Wi6H7XmviplWYeGOA4YjgEqtCV3N8vLpf3o6N8873m3bW+99Plr9n7wx4O+JutaDceCPGI16w07xH/AGrda1ZanHefaLpJHmkaaZMqWeRyWxg5bjFfWtNjjjiXbFGqj0UYp1e3kuU/2Rh5U3Uc3KTk21be3m+3c/IMbi/rlRS5bJK1grw7/gpN4k+KnhD9h74heIvgzeata67baVDm80G3829tLFrqFb6eBcE+bHZm4kUgFlKAgEgV7jR1616dek61CdNO3MmrrdXVrr0KyvGRy7M6GLlTVRU5xk4vaXLJPle+jtZ6PQ/MT4+/GXwX4B8R/AzSvg9+0DH4bhvtdW2S60TX7SMS+GfscgnkaaQsEi3QW4WQH5nUqCTxXqPhv4i/DHxd4p0+0/4amPjPUYpJG0jTNQ8bWl80cpidWkiiiwxfymkXPOFZuO4+nPgb+xl+yx+zT4g13xV8B/gboHhjUPErhtautMtSrXGHZwoySI03Ox2JtXpx8ox6UtraowZLaMEdCEFfDUeDsasN7KWLaTveKTcf/Slfz0Pps34gyepWpxwNBuMF8c1GM5NtvVR5kuW/Kved0r6X5Vxn7PHglvAPwuttHkE4e61C+1CRLkAMjXV1LcFcYGADJgA84xnJrt6KK+3wtBYXDQop3UUl9ysfH1ajq1ZTfVthXI/Eb4RaX8Q9QtdSuNTltZIF8uUxRhvMjyTjnoQScHkcng111FTi8HhsdQdGvHmi+np6Do1qtCfPTdmR2dpBYWkVjaxhIoY1jjUdlAwB+QqSiiuhJRVkZNtu7CiiimAUUUUAeQ/tMaFLda/oPiKPRBLJaW9xbW92iMzr5zws8XHGGMMRHcleK7b4J+CU+HHwk8PeBo5JmGmaVFDm4I38DnOABnn0rqKK8rD5XHD5pWxvO26iSt2su/yOqpinUwsKNvhvr6hRRRXqnKFZ/iyybUvC2pactmlybiwmjFvLnbLuQjacc4OcfjWhRUzjzwcb2uNOzTPCP2afhwLL4gjxgtncW0ejeH59Ht4GTbGBLLbOVORncotUGM8Bjkcivd6KK87KMtjlOBjhlLmtfXbd32OjGYl4uu6jVgrG+IXw98E/FjwPqvw1+JHhi01rQdbsntNV0u/i3xXMLjDKw/UEYIIBBBANbNFelKKkmmrpmNOpUo1FUptqSd01o01s0+jRxPwL/Zx+Bv7M/gNfhj8CPhlpfhnQlu5Lo6dp0J2vPJjfIzMSzsQqjJJOFUdAAOzjggiOYoUUnqVUCn0UoQhTgowVkui2LxOJxGMryr4ibnOTu5SbbbfVt6t+bCiiiqMQooooA5r4x6Cnij4W674dm0dNQjvdOkhls3DESowwwwvJO3OAO+K4P9mLwVJZeIdf+Ik4nV9SsbLT1WQAIy28l1JuXjJOblgTnHygcEGvYaK8utlka2a0sa5v3E1bo731v8/yOqGKcMJKhb4mncKKKK9Q5QooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKg1W0l1DTLmwhuWheeB40mTrGWUgMPcZzQB88fs7/8ABV39iL9qX9oTU/2Zfg38Tru+8S2C3zWMl1oV1bWGtrZTeTeHTruVBDeiCQ7ZPKZtvJ5AJr6Or8VP+CVv7N/7TNh+0T+yF+zx4x/Zv8ceFLz9kmy+JEfxQ8Xa34flttIv21W5mWxXTrxvkvxcCVZW8snaAd3Sv2roAKKKKACvDf22f+Cif7MH/BPzSvDmrftJeItXsk8Van9h0iPR/D1zfsX3xRl5DCjLDGHmhXe5UFpFAyTivcq/Pv8A4OP/ABbq0v7BsXwU8H/CPx/4u8QeK/F2jXmm23gfwNfawsMOnatY3Vybh7WNxb/ugxTfjzCrBc4OAD9A1YMoYdCMilrmvg78TdF+M3wv0P4p+HNF1vTbHXdPS6tbHxJos2nX8CN0We2nVZIX45RwCK6WgAooooAoeKvE+h+CfC+peM/E9+LXTNIsJr3UbpkZhDBEhkkfCgk4VScAE8cCvD/2QP8Agpl+yl+29448SfDD4K694gtvE3hWzgvtV8O+LvCV9o179hnOIbyOG8ijaSB+MSAY+ZfUZ9q8c+KYPA3gnWPG11pF/qEWj6VcX0lhpVo091crFG0hihiXmSRgu1UHLMQB1r85f+CM3xR1j9qv9sv4sftrftGfBv4m+D/iz4z0BNN0fw14o+GWp6TpXhXwlZXYFrp6X11CkV7eyySi4lKnuQihUagD9L6KKKACiiigD53/AGzf+Cov7Jn7BOvWWh/tF6t4ps0uLOK8v9V0bwTqGo2Gj2ss/kRz311bwtFaI0gKr5jAnacCvoHTdSsNZ0631fS7tJ7W6gSa2njOVkjYBlYHuCCDX5lf8HF9hcfHP4XRfs3+B/gV+0Hr3xIisre/+GUvw90W7uPCesX819Bm21jYTaSpD9lRyl6oVVlJjJ3NX6SfD2LxPB4A0ODxrb2sWspo9surxWSgQpdCJfNWMDgIH3AY7YoA2KKKKACgkKCzEAAck0V4n/wUb8IftLfEL9iP4i/D/wDZCihf4ha9oDadofnaoliVWeRIrhkuHBWCUW7TFJCDtfacHGKAF/Y1/wCCgv7L/wC3zF43u/2YfGtxrtr8P/Fk3h3X719Okhha8jGSYHcATRkciReCCCOte11+ZX/Bvr8LP2kvgn8W/wBpnwH8Vv2Jf+FQeF5PHuny+HrVfEZvreNodMtrUWlrJ9mhF7CsUSObxPlZ2ZNu5ST+mtABRRRQAV85/Er/AIKgfs6/DP8Aaqm/Y4ufCHxK13xlZvpQ1U+EvhtqWq2GmLqJItZLq6tomitkYByXkIAEbknCnH0ZX5Lf8FUPAHxC0r9u1/H/AOwp4E/aZ0v9onXvF/hCCHW9BtbuPwBq2i2wUTm/li/0SSGOCW6R1uT5iyZ2Da2SAfrTRRRQAUUUUAch8fPj18Jf2YPg7r/x8+OvjS18PeE/DFgbvWdWu8lIY8hQAFBZ2ZmVFVQWZmAAJIrn/wBlL9rj4TftkfDyf4kfCSz8S2draX5s7yw8XeFLzRr6CTy0kUtb3caSbGjkR1cAqwYEGvnf/g4J/Z2+MX7TH/BMvxP4J+B2g6xq2t6V4j0PXZNI8OjdqF5aWWoQzzrbL/HOsatIifxNGAASQKo/8ENrf9oOP4dfFi5+Ik/xYb4bz/E6ZvgoPjg903iUaN9mi803H2z/AEkRG583yxL82A2PlxQB9y0UUUAf/9k=", 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", "info": {"equation": "98/14=7", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "5f9de331214a7ec15d7f1e7610ed41e5a409ded023eaec3065bd35a4c880c206"} +{"episode": 51160, "episode_seed": 1197742231, "split": "train", "timestamp": "2025-10-28T03:47:44.062731", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1197742231, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 0, 9, 0])", "action": "('move', [0, 0, 9, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "15+14*3=57", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "15+14*3=57", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "24f9211ec55d85645ffc72084344385643676167ee374c98796fd34ced477b88"} +{"episode": 51161, "episode_seed": 1580971057, "split": "train", "timestamp": "2025-10-28T03:47:44.131521", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1580971057, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [8, 0, 5, 4])", "action": "('move', [8, 0, 5, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "8+17*6=110", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "8+17*6=110", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "b7cb3b75d6ab2de739f88395de55ec34e05bbfc617093ff99168a4af1609a180"} +{"episode": 51162, "episode_seed": 2771618053, "split": "train", "timestamp": "2025-10-28T03:47:44.209178", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2771618053, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [8, 0, 1, 7])", "action": "('move', [8, 0, 1, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "3+12*9=111", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "3+12*9=111", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "43ab2ecc311769538ca3b28b09a1f5f23f178be66223a01f7a94d547026f6f8f"} +{"episode": 51163, "episode_seed": 965345291, "split": "train", "timestamp": "2025-10-28T03:47:44.257877", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 965345291, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 7, 1, 0])", "action": "('move', [2, 7, 1, 0])", "reward": 0.0, "image": 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", "info": {"equation": "77-14=63", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "77-14=63", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "98e2f3eb190ec1dc3f847b068bf1a557e09384dcaec206c8ff7e030e01e7a4de"} +{"episode": 51164, "episode_seed": 624681500, "split": "train", "timestamp": "2025-10-28T03:47:44.311911", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 624681500, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [5, 1, 1, 7])", "action": "('move', [5, 1, 1, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "6+11*5=61", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "6+11*5=61", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "a8b9b0f795bda648bbd9bf58c5313a13801fe5e8d4d1d4e07a231153c2e52927"} +{"episode": 51165, "episode_seed": 894638523, "split": "train", "timestamp": "2025-10-28T03:47:44.379492", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 894638523, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [1, 4, 0, 4])", "action": "('move', [1, 4, 0, 4])", "reward": 0.0, "image": 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", 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", "info": {"equation": "89-64=25", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "89-64=25", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "f87ba28d5fc1f5dccaf037250aae04da971041b5e189d75ebc9314f74f6bd1df"} +{"episode": 51166, "episode_seed": 1516268500, "split": "train", "timestamp": "2025-10-28T03:47:44.446476", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1516268500, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 5, 2, 7])", "action": "('move', [3, 5, 2, 7])", "reward": 0.0, "image": 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", "info": {"equation": "19+38=57", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", "info": {"equation": "19+38=57", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "760f978411bd106f6b4eaaf7d03e724f3cb01ae8b111e0bac59bf548e26b5f1d"} +{"episode": 51167, "episode_seed": 2088255142, "split": "train", "timestamp": "2025-10-28T03:47:44.510084", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2088255142, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 4, 2, 7])", "action": "('move', [0, 4, 2, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "58+45=103", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "58+45=103", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "d522b634b3e38ef29c2d3d1b2f3741562275e638c97e0e069d9d9f9dda2dd801"} +{"episode": 51168, "episode_seed": 1081662794, "split": "train", "timestamp": "2025-10-28T03:47:44.564793", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1081662794, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 0, 3, 8])", "action": "('move', [4, 0, 3, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "5+9*10=95", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "5+9*10=95", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "f614250e54e9d5243bf356dbb26665158b5c89dab37aa04454dc61e6be63d2df"} +{"episode": 51169, "episode_seed": 3148536470, "split": "train", "timestamp": "2025-10-28T03:47:44.608283", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3148536470, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 6, 1, 7])", "action": "('move', [4, 6, 1, 7])", "reward": 0.0, "image": 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edkiPMfzA8ZHPPj8Q5ZPNcB7KM+SzT12fk/v087H6j4P8b4XgLi3+0K+FddSpyhaKTnFuz5oX6+7yvVe636P4K/4J5/tBanrn7GHgh/jT+25q2i60mmy2o0v/AIT2xsmtrOKaSK0UREbo8W6RYz8x4J5NddoPgX4MfBr40fA/Xf2NLHTLXxVrXj+00+W58KyxXc+veHJZXbWXvZAzNdQJGrzNO5YpPFFhg21T+lken2EUaxRWMKqqgKqxAAAdAK+BP2Kv2cvgX8Mvjz8Pvit4B+F+l6X4k8SXuptrms26OZ7vfY3sjglmIUM4DEKFBIHHAx8njMlxOAzDBqpiZT5ppK9/dtbbV7kYPi7C18bmOPVJ0o1Oeaowt7OTnz2hPWPuRUnb3ZNq8Vy35l+gNFFFfpJ+XBXl/wC0taaK2naddyNt1EzMkIVRl4sZYMeoAJGPc+9ek6lqNppOnz6pfyhIbeJpJXPZQMmvlL4/6x4k+P8A4+0v4SeEZbu2k8ZXbae17CQkml6LEA9/chjG4VzExjTI/wBbdRc4BI+Y4oxEJYNYKKUqlVpRXbX4vl+fzPUyunJVnWbtGCbb/QrfsF+K/BHxa/aD8YePdQgf+0tP0eK18Bi6ih2S6L58kV1fWzrKzP515CUc7VxFDaf89Ofr2vk/4n/CjUPgh8RvCviL4UWENtN4MuIzotmGSNLrR3VYbrTy5jbbuiQbMYAlhhJYAE19VWF9banYw6jZyB4p4lkjYd1IyKOGK8I4SWCkuWpSbTXfXR/MM0pt1lXTvGauv8iaiiivpzyz83JPiRpn2P8AaK1P9pX4iXWm65aeMtds/EK6rNHBPpeiBWh0hbWJsDyZLNopISAfOnnlwWckV2n7aPxH/bM0z/ghcfH8Ca3afE+4+H2kt4ylt7ER31tDIIhqMrIoBhYQmUuygNGNx+UrkV/+ChP7OPwK+K3x08efEv4k/C3S9a13w38NrJtC1K/jZmtCqalIpVdwVsOAw3A8ivtL4kMT8H9eZjknw1dE55z/AKO1fCZPgZvHZjS9o9dL9feu7+qP1DFcTZPhcRl+Po4VSlGpTqzhJRUEqdl7KFr/ALuWrd0toKz5XKX4C/8ABunr3xj0r/gpLoml/DW3u5ND1LQtQi8eeRaiSOPTlgZ4nkYj92Pta2oDDBJYL0Y1/Q/XxF/wTm/Zz+BnwD+M2jzfBr4YaZ4ek1z4YXc2ry2KuXunWfSSpZnZjgF3IAIGWPHNfbtehwbTcMlTve8pP06afdf5m3jJxnguOeMXmGFoeyiqcIa25pWu+aVrq+vKtX7sY+iK534t+F/hj41+GGv+FvjTp2lXfhK80mdPEcOtsq2n2PYTK0rOQEVVBYuSNu3dkYzXRV+cf/BzJ4u+OXhv9ibRdM+G0+oweF9W8ULbePZ7CP5Tb7N1vFM45SJ5gM9mYIpPIB93MsVHBYCpXlHmUVt3/wCB38j5HgnIa3E/FmDyulW9jKrNJT/ltrdbe9p7qurysrrc+0P2U/hj+yj8NfhDBoH7H+keFIvBkt9PcQv4TvI7u0muSwWVzMjv5j5UKSWJAQLwFAHpMcEERzFCik9SqgV/Pj/wQ1+N3jjwn4u8X/DvXP2j9U8FeBhpX9oC3i8TW+nwSaq0sMaspnBy5hWTITqEXd0Wv1S+D/xmHiC6bw/8Ov2jrrxreR3C3BiHieDUZos4QAiDkRn0YYyTXyeH40wUcPGPsJJ6K0UrfL9NPI+p8ROA8bwxxficDVxft2mpe0k3zvmSl797+9rrq+/Wx9f0UyAzNAjXCgSFB5gXoDjnFPr7lO6uflwUUUUwPgr/AIOM/Fnxy8K/8E77lPg9LqMWm6l4ntbHx5cadFkpo8kU+5ZGHMcT3Ato2I+8H2H5WIPxN/wa56/8Yrb9qjxx4b8OwXb+B7rwgs/ih1tg0Ed9HMBY7pCPkcq92FUH5gH4O3I/X39tnStO139kb4jaHrFmlxaXvhC9t7u3k+7LE8RVlPsQSPxryX/gnt8CPg7+z58U/Hng34J/DvTvDemXPh/Rbq4tNOVsSzG51Rd7M7MzHaoAyeAOMV8ZmGGk+LsNPnesW/TlT09H1+Z+2ZD4iZflvhBj+Gp4NSq1Z3U9Le84+9Lrzwt7jXltbX6rooor7M/EwooooA+d7H4Vf2z8bobE6RLYpZeL312YWykIZBNJMXJYH5XdiT6knGK+iKKK8rKsrjlcKkVNy55OWvn0/wCCdWLxTxUotq1kkFFFFeqcpyXxz0BPE/wt1TRZNHW/SRYna2YMc7JUcMAvJKlQw91rkf2XvA7aTdeIPH8vnhtbWztlWQAIUt/OIZeMnJnYE5I+UY6GvW6AAOAK8qrlcaub08c5v3YuNumt9b/P8jqjinHCSoW3d7hRRRXqnKFfzq/8HCfi344a7/wUg8R+HvitNqK6JpFhaJ4CtrqLZbrprwozywAcMGuPPDPyS0e0n5AB/RVXmnx//Y5/Zf8A2p77RdT/AGhfgnofiy48PSO+jzarblmt95UsuVI3KSiko2VOOleJn+VVc3wPsKc+V3T12fk/z9UfqHhJx7gPDvip5njMO60HTlDS3NFuzUo3sr6cr1Xuyfo/zx/4J/8A7SniPxZ+yF4N1v49/t063p3iWS0mjntLr4gWNtLHbpPIltuRwXBMCxnL/M2ctyTX17+y74L8K+KvFPhbxZ4I1VL3RfDkVxPp99p92k9vPvgltsGVch/9a5+U53KfQivpaPT7CKNYorGFVVQFVYgAAOgFSoiRrtjQKB0AGK8rDcLV6WLpVq2KlNQd0mn+F5O33Hy+dcRUc1x+JxFLDRpKtKcuWO0VKTfKrJaK9kLRRRX2B8uVda0m017SLnRb5SYbqFo5MdQCMZHvWB8NfhZp3w5W6kh1F7ue6IBlkjC7UBOFAGfXk9z6V1NFctTBYWrioYicbzjdJ9rmsa9WNJ00/de6OV+JPwq034ivaXE+oyWk1qSpkjjDb4yQSuD0PHB7Z6Gui0jTLXRdLt9IslxDbQrFGD6KMCrFFFPBYWliZ4iEbTna7722CVarOkqbei2QUUUV1GR+bj/ErS1tP2itV/aW+Ilzput2fjLXbTxEmrTRQTaXogVodIW2ibA8mSzaKSE4Imnnl5ZyQKv7Pn7QUPjX9nbwhqnxx/bq1JfEWq+F7WTxPYXXxC0+EGeSIGWN4go2ZzgrwRkjg19v/FH9jL9ln41/FfQvjl8V/gdoOu+LfDXlf2Jrl/bFprfypTLEOCA4SQllDhgpJIxmvSjZ2hOTax/98Cvh1wpjvrNWpHFuKk76Xu/8Wq1XzPvc24nyTF4SMcPhf3knGUuZRUYcseXkpWu+RtuTuovSEbNxcpeDfsreDtJ1Hxhb/EzQZg+m2XhiTTtMltJFe1mhuJLWUFHGd+FtkwQcYbnOQa99pFVUG1VAA6AClr6XKMtWVYGOGUua19bW3d9tT4zGYl4uu6jVrhWN8Qvh74J+LHgfVfhr8SPDFprWg63ZPaarpd/FviuYXGGVh+oIwQQCCCAa2aK9KUVJNNXTMKdSpRqKpTbUk7prRprZp9GjifgX+zj8Df2Z/Aa/DH4EfDLS/DOhLdyXR07ToTteeTG+RmYlnYhVGSScKo6AAdnHBBEcxQopPUqoFPopQhCnBRgrJdFsXicTiMZXlXxE3Ocndyk222+rb1b82FFFFUYhRRRQBzXxj0FPFHwt13w7No6ahHe6dJDLZuGIlRhhhheSducAd8Vwf7MXgqSy8Q6/8RJxOr6lY2WnqsgARlt5LqTcvGSc3LAnOPlA4INew0V5dbLI1s1pY1zfuJq3R3vrf5/kdUMU4YSVC3xNO4UUUV6hyhRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUVBqtpLqGmXNhDctC88DxpMnWMspAYe4zmgD54/Z3/4Ku/sRftS/tCan+zL8G/idd33iWwW+axkutCuraw1tbKbybw6ddyoIb0QSHbJ5TNt5PIBNfR1fip/wSt/Zv/aZsP2if2Qv2ePGP7N/jjwpefsk2XxIj+KHi7W/D8ttpF+2q3My2K6deN8l+LgSrK3lk7QDu6V+1dABRRRQAV4b+2z/AMFE/wBmD/gn5pXhzVv2kvEWr2SeKtT+w6RHo/h65v2L74oy8hhRlhjDzQrvcqC0igZJxXuVfn3/AMHH/i3Vpf2DYvgp4P8AhH4/8XeIPFfi7RrzTbbwP4GvtYWGHTtWsbq5Nw9rG4t/3QYpvx5hVgucHAB+gasGUMOhGRS1zXwd+Jui/Gb4X6H8U/Dmi63ptjrunpdWtj4k0WbTr+BG6LPbTqskL8co4BFdLQAUUUUAUPFXifQ/BPhfUvGfie/FrpmkWE17qN0yMwhgiQySPhQScKpOACeOBXh/7IH/AAUy/ZS/be8ceJPhh8Fde8QW3ibwrZwX2q+HfF3hK+0a9+wznEN5HDeRRtJA/GJAMfMvqM+1eOfFMHgbwTrHja60i/1CLR9KuL6Sw0q0ae6uVijaQxQxLzJIwXaqDlmIA61+cv8AwRm+KOsftV/tl/Fj9tb9oz4N/E3wf8WfGegJpuj+GvFHwy1PSdK8K+ErK7AtdPS+uoUivb2WSUXEpU9yEUKjUAfpfRRRQAUUUUAfO/7Zv/BUX9kz9gnXrLQ/2i9W8U2aXFnFeX+q6N4J1DUbDR7WWfyI5766t4WitEaQFV8xgTtOBX0DpupWGs6db6vpd2k9rdQJNbTxnKyRsAysD3BBBr8yv+Di+wuPjn8Lov2b/A/wK/aD174kRWVvf/DKX4e6Ld3HhPWL+a+gzbaxsJtJUh+yo5S9UKqykxk7mr9JPh7F4ng8AaHB41t7WLWU0e2XV4rJQIUuhEvmrGBwED7gMdsUAbFFFFABQSFBZiAAOSaK8T/4KN+EP2lviF+xH8Rfh/8AshRQv8Qte0BtO0PztUSxKrPIkVwyXDgrBKLdpikhB2vtODjFAC/sa/8ABQX9l/8Ab5i8b3f7MPjW4121+H/iybw7r96+nSQwteRjJMDuAJoyORIvBBBHWva6/Mr/AIN9fhZ+0l8E/i3+0z4D+K37Ev8AwqDwvJ490+Xw9ar4jN9bxtDpltai0tZPs0IvYViiRzeJ8rOzJt3KSf01oAKKKKACvnP4lf8ABUD9nX4Z/tVTfscXPhD4la74ys30oaqfCXw21LVbDTF1EkWsl1dW0TRWyMA5LyEACNyThTj6Mr8lv+CqHgD4haV+3a/j/wDYU8CftM6X+0Tr3i/whBDreg2t3H4A1bRbYKJzfyxf6JJDHBLdI63J8xZM7BtbJAP1pooooAKKKKAOQ+Pnx6+Ev7MHwd1/4+fHXxpa+HvCfhiwN3rOrXeSkMeQoACgs7MzKiqoLMzAAEkVz/7KX7XHwm/bI+Hk/wASPhJZ+JbO1tL82d5YeLvCl5o19BJ5aSKWt7uNJNjRyI6uAVYMCDXzv/wcE/s7fGL9pj/gmX4n8E/A7QdY1bW9K8R6HrsmkeHRu1C8tLLUIZ51tl/jnWNWkRP4mjAAJIFUf+CG1v8AtBx/Dr4sXPxEn+LDfDef4nTN8FB8cHum8SjRvs0Xmm4+2f6SIjc+b5Yl+bAbHy4oA+5aKKKAP//Z", "info": {"equation": "1+5*0=1", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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edkiPMfzA8ZHPPj8Q5ZPNcB7KM+SzT12fk/v087H6j4P8b4XgLi3+0K+FddSpyhaKTnFuz5oX6+7yvVe636P4K/4J5/tBanrn7GHgh/jT+25q2i60mmy2o0v/AIT2xsmtrOKaSK0UREbo8W6RYz8x4J5NddoPgX4MfBr40fA/Xf2NLHTLXxVrXj+00+W58KyxXc+veHJZXbWXvZAzNdQJGrzNO5YpPFFhg21T+lken2EUaxRWMKqqgKqxAAAdAK+BP2Kv2cvgX8Mvjz8Pvit4B+F+l6X4k8SXuptrms26OZ7vfY3sjglmIUM4DEKFBIHHAx8njMlxOAzDBqpiZT5ppK9/dtbbV7kYPi7C18bmOPVJ0o1Oeaowt7OTnz2hPWPuRUnb3ZNq8Vy35l+gNFFFfpJ+XBXl/wC0taaK2naddyNt1EzMkIVRl4sZYMeoAJGPc+9ek6lqNppOnz6pfyhIbeJpJXPZQMmvlL4/6x4k+P8A4+0v4SeEZbu2k8ZXbae17CQkml6LEA9/chjG4VzExjTI/wBbdRc4BI+Y4oxEJYNYKKUqlVpRXbX4vl+fzPUyunJVnWbtGCbb/QrfsF+K/BHxa/aD8YePdQgf+0tP0eK18Bi6ih2S6L58kV1fWzrKzP515CUc7VxFDaf89Ofr2vk/4n/CjUPgh8RvCviL4UWENtN4MuIzotmGSNLrR3VYbrTy5jbbuiQbMYAlhhJYAE19VWF9banYw6jZyB4p4lkjYd1IyKOGK8I4SWCkuWpSbTXfXR/MM0pt1lXTvGauv8iaiiivpzyz83JPiRpn2P8AaK1P9pX4iXWm65aeMtds/EK6rNHBPpeiBWh0hbWJsDyZLNopISAfOnnlwWckV2n7aPxH/bM0z/ghcfH8Ca3afE+4+H2kt4ylt7ER31tDIIhqMrIoBhYQmUuygNGNx+UrkV/+ChP7OPwK+K3x08efEv4k/C3S9a13w38NrJtC1K/jZmtCqalIpVdwVsOAw3A8ivtL4kMT8H9eZjknw1dE55z/AKO1fCZPgZvHZjS9o9dL9feu7+qP1DFcTZPhcRl+Po4VSlGpTqzhJRUEqdl7KFr/ALuWrd0toKz5XKX4C/8ABunr3xj0r/gpLoml/DW3u5ND1LQtQi8eeRaiSOPTlgZ4nkYj92Pta2oDDBJYL0Y1/Q/XxF/wTm/Zz+BnwD+M2jzfBr4YaZ4ek1z4YXc2ry2KuXunWfSSpZnZjgF3IAIGWPHNfbtehwbTcMlTve8pP06afdf5m3jJxnguOeMXmGFoeyiqcIa25pWu+aVrq+vKtX7sY+iK534t+F/hj41+GGv+FvjTp2lXfhK80mdPEcOtsq2n2PYTK0rOQEVVBYuSNu3dkYzXRV+cf/BzJ4u+OXhv9ibRdM+G0+oweF9W8ULbePZ7CP5Tb7N1vFM45SJ5gM9mYIpPIB93MsVHBYCpXlHmUVt3/wCB38j5HgnIa3E/FmDyulW9jKrNJT/ltrdbe9p7qurysrrc+0P2U/hj+yj8NfhDBoH7H+keFIvBkt9PcQv4TvI7u0muSwWVzMjv5j5UKSWJAQLwFAHpMcEERzFCik9SqgV/Pj/wQ1+N3jjwn4u8X/DvXP2j9U8FeBhpX9oC3i8TW+nwSaq0sMaspnBy5hWTITqEXd0Wv1S+D/xmHiC6bw/8Ov2jrrxreR3C3BiHieDUZos4QAiDkRn0YYyTXyeH40wUcPGPsJJ6K0UrfL9NPI+p8ROA8bwxxficDVxft2mpe0k3zvmSl797+9rrq+/Wx9f0UyAzNAjXCgSFB5gXoDjnFPr7lO6uflwUUUUwPgr/AIOM/Fnxy8K/8E77lPg9LqMWm6l4ntbHx5cadFkpo8kU+5ZGHMcT3Ato2I+8H2H5WIPxN/wa56/8Yrb9qjxx4b8OwXb+B7rwgs/ih1tg0Ed9HMBY7pCPkcq92FUH5gH4O3I/X39tnStO139kb4jaHrFmlxaXvhC9t7u3k+7LE8RVlPsQSPxryX/gnt8CPg7+z58U/Hng34J/DvTvDemXPh/Rbq4tNOVsSzG51Rd7M7MzHaoAyeAOMV8ZmGGk+LsNPnesW/TlT09H1+Z+2ZD4iZflvhBj+Gp4NSq1Z3U9Le84+9Lrzwt7jXltbX6rooor7M/EwooooA+d7H4Vf2z8bobE6RLYpZeL312YWykIZBNJMXJYH5XdiT6knGK+iKKK8rKsrjlcKkVNy55OWvn0/wCCdWLxTxUotq1kkFFFFeqcpyXxz0BPE/wt1TRZNHW/SRYna2YMc7JUcMAvJKlQw91rkf2XvA7aTdeIPH8vnhtbWztlWQAIUt/OIZeMnJnYE5I+UY6GvW6AAOAK8qrlcaub08c5v3YuNumt9b/P8jqjinHCSoW3d7hRRRXqnKFfzq/8HCfi344a7/wUg8R+HvitNqK6JpFhaJ4CtrqLZbrprwozywAcMGuPPDPyS0e0n5AB/RVXmnx//Y5/Zf8A2p77RdT/AGhfgnofiy48PSO+jzarblmt95UsuVI3KSiko2VOOleJn+VVc3wPsKc+V3T12fk/z9UfqHhJx7gPDvip5njMO60HTlDS3NFuzUo3sr6cr1Xuyfo/zx/4J/8A7SniPxZ+yF4N1v49/t063p3iWS0mjntLr4gWNtLHbpPIltuRwXBMCxnL/M2ctyTX17+y74L8K+KvFPhbxZ4I1VL3RfDkVxPp99p92k9vPvgltsGVch/9a5+U53KfQivpaPT7CKNYorGFVVQFVYgAAOgFSoiRrtjQKB0AGK8rDcLV6WLpVq2KlNQd0mn+F5O33Hy+dcRUc1x+JxFLDRpKtKcuWO0VKTfKrJaK9kLRRRX2B8uVda0m017SLnRb5SYbqFo5MdQCMZHvWB8NfhZp3w5W6kh1F7ue6IBlkjC7UBOFAGfXk9z6V1NFctTBYWrioYicbzjdJ9rmsa9WNJ00/de6OV+JPwq034ivaXE+oyWk1qSpkjjDb4yQSuD0PHB7Z6Gui0jTLXRdLt9IslxDbQrFGD6KMCrFFFPBYWliZ4iEbTna7722CVarOkqbei2QUUUV1GR+bj/ErS1tP2itV/aW+Ilzput2fjLXbTxEmrTRQTaXogVodIW2ibA8mSzaKSE4Imnnl5ZyQKv7Pn7QUPjX9nbwhqnxx/bq1JfEWq+F7WTxPYXXxC0+EGeSIGWN4go2ZzgrwRkjg19v/FH9jL9ln41/FfQvjl8V/gdoOu+LfDXlf2Jrl/bFprfypTLEOCA4SQllDhgpJIxmvSjZ2hOTax/98Cvh1wpjvrNWpHFuKk76Xu/8Wq1XzPvc24nyTF4SMcPhf3knGUuZRUYcseXkpWu+RtuTuovSEbNxcpeDfsreDtJ1Hxhb/EzQZg+m2XhiTTtMltJFe1mhuJLWUFHGd+FtkwQcYbnOQa99pFVUG1VAA6AClr6XKMtWVYGOGUua19bW3d9tT4zGYl4uu6jVrhWN8Qvh74J+LHgfVfhr8SPDFprWg63ZPaarpd/FviuYXGGVh+oIwQQCCCAa2aK9KUVJNNXTMKdSpRqKpTbUk7prRprZp9GjifgX+zj8Df2Z/Aa/DH4EfDLS/DOhLdyXR07ToTteeTG+RmYlnYhVGSScKo6AAdnHBBEcxQopPUqoFPopQhCnBRgrJdFsXicTiMZXlXxE3Ocndyk222+rb1b82FFFFUYhRRRQBzXxj0FPFHwt13w7No6ahHe6dJDLZuGIlRhhhheSducAd8Vwf7MXgqSy8Q6/8RJxOr6lY2WnqsgARlt5LqTcvGSc3LAnOPlA4INew0V5dbLI1s1pY1zfuJq3R3vrf5/kdUMU4YSVC3xNO4UUUV6hyhRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUVBqtpLqGmXNhDctC88DxpMnWMspAYe4zmgD54/Z3/4Ku/sRftS/tCan+zL8G/idd33iWwW+axkutCuraw1tbKbybw6ddyoIb0QSHbJ5TNt5PIBNfR1fip/wSt/Zv/aZsP2if2Qv2ePGP7N/jjwpefsk2XxIj+KHi7W/D8ttpF+2q3My2K6deN8l+LgSrK3lk7QDu6V+1dABRRRQAV4b+2z/AMFE/wBmD/gn5pXhzVv2kvEWr2SeKtT+w6RHo/h65v2L74oy8hhRlhjDzQrvcqC0igZJxXuVfn3/AMHH/i3Vpf2DYvgp4P8AhH4/8XeIPFfi7RrzTbbwP4GvtYWGHTtWsbq5Nw9rG4t/3QYpvx5hVgucHAB+gasGUMOhGRS1zXwd+Jui/Gb4X6H8U/Dmi63ptjrunpdWtj4k0WbTr+BG6LPbTqskL8co4BFdLQAUUUUAUPFXifQ/BPhfUvGfie/FrpmkWE17qN0yMwhgiQySPhQScKpOACeOBXh/7IH/AAUy/ZS/be8ceJPhh8Fde8QW3ibwrZwX2q+HfF3hK+0a9+wznEN5HDeRRtJA/GJAMfMvqM+1eOfFMHgbwTrHja60i/1CLR9KuL6Sw0q0ae6uVijaQxQxLzJIwXaqDlmIA61+cv8AwRm+KOsftV/tl/Fj9tb9oz4N/E3wf8WfGegJpuj+GvFHwy1PSdK8K+ErK7AtdPS+uoUivb2WSUXEpU9yEUKjUAfpfRRRQAUUUUAfO/7Zv/BUX9kz9gnXrLQ/2i9W8U2aXFnFeX+q6N4J1DUbDR7WWfyI5766t4WitEaQFV8xgTtOBX0DpupWGs6db6vpd2k9rdQJNbTxnKyRsAysD3BBBr8yv+Di+wuPjn8Lov2b/A/wK/aD174kRWVvf/DKX4e6Ld3HhPWL+a+gzbaxsJtJUh+yo5S9UKqykxk7mr9JPh7F4ng8AaHB41t7WLWU0e2XV4rJQIUuhEvmrGBwED7gMdsUAbFFFFABQSFBZiAAOSaK8T/4KN+EP2lviF+xH8Rfh/8AshRQv8Qte0BtO0PztUSxKrPIkVwyXDgrBKLdpikhB2vtODjFAC/sa/8ABQX9l/8Ab5i8b3f7MPjW4121+H/iybw7r96+nSQwteRjJMDuAJoyORIvBBBHWva6/Mr/AIN9fhZ+0l8E/i3+0z4D+K37Ev8AwqDwvJ490+Xw9ar4jN9bxtDpltai0tZPs0IvYViiRzeJ8rOzJt3KSf01oAKKKKACvnP4lf8ABUD9nX4Z/tVTfscXPhD4la74ys30oaqfCXw21LVbDTF1EkWsl1dW0TRWyMA5LyEACNyThTj6Mr8lv+CqHgD4haV+3a/j/wDYU8CftM6X+0Tr3i/whBDreg2t3H4A1bRbYKJzfyxf6JJDHBLdI63J8xZM7BtbJAP1pooooAKKKKAOQ+Pnx6+Ev7MHwd1/4+fHXxpa+HvCfhiwN3rOrXeSkMeQoACgs7MzKiqoLMzAAEkVz/7KX7XHwm/bI+Hk/wASPhJZ+JbO1tL82d5YeLvCl5o19BJ5aSKWt7uNJNjRyI6uAVYMCDXzv/wcE/s7fGL9pj/gmX4n8E/A7QdY1bW9K8R6HrsmkeHRu1C8tLLUIZ51tl/jnWNWkRP4mjAAJIFUf+CG1v8AtBx/Dr4sXPxEn+LDfDef4nTN8FB8cHum8SjRvs0Xmm4+2f6SIjc+b5Yl+bAbHy4oA+5aKKKAP//Z", "info": {"equation": "1+5*0=1", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "103ab4b04c885df117b9d369e1deab145c3afc6413a749ee101079f59565bb4f"} +{"episode": 51170, "episode_seed": 1750042657, "split": "train", "timestamp": "2025-10-28T03:47:44.657299", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1750042657, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 0, 4, 6])", "action": "('move', [0, 0, 4, 6])", "reward": 0.0, "image": 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", "info": {"equation": "120/8=15", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "120/8=15", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "528e2b90a7b45c4785931c60e574d8ce7fbb5cb97552f777061d9433fffa6990"} +{"episode": 51171, "episode_seed": 1166371460, "split": "train", "timestamp": "2025-10-28T03:47:44.701298", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1166371460, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 6, 1, 4])", "action": "('move', [6, 6, 1, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "18*5=90", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "18*5=90", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "78c7b530e34d6f3a0c51091fe994eb2fbc36dc62442957685d1327d198d80221"} +{"episode": 51172, "episode_seed": 3976725091, "split": "train", "timestamp": "2025-10-28T03:47:44.786231", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3976725091, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 4, 5, 1])", "action": "('move', [3, 4, 5, 1])", "reward": 0.0, "image": 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njCFLxoEMylRwpEhYYHArfoor9ZiuWKR/K9Waq1ZTSSu27LZX6LyR/Pj/AMF/fiT+0BoH/BVa61a613VtNHhaw0e4+GlzHmIW0Iijm8+3I4J+2/aMv13R7TwgA/RT4Z/FLwf4zi8NQeJf2rZfFeutawSjQb/xvZ3Y+3tb4kKQRYJdd0oAGcAniuz/AOCgPwS+E3xI+O+mePPHvgGw1XV/CnhS1uPDl/eIzNYStfTEugztJyiEbgcFQRg19hra2qNvS2jBHQhBX59/YVfMczxkI4iUFzK63T5lez1W23ofrvFniBgM54VyTAUsGoTwlJwlLT3muVXjZXs+Xnlf7cn6vm/gt4SPgf4W6N4ZYy7oLYuwnxvDSO0hBwBjBcjHtXUUUV97QpKhRjTX2Ul9ysfkE5Oc3LufLH7bHifWdL/am+FmjeIdcnsfC0vh/XrmyWR1jtLnW0+ypGsjkjMi2cl8yITyPNYA7CR89ftT/Eb49v8A8EI/HXin4darq1wJ9a1K00/VILZRNN4TfW5YllBQcwtZEDzR96E7s4O6vq7/AIKG/CT4a/G/4aeFPh78WvB1rruiXXjiKS4068LhHZNPvmQ5RlIIIB4NHh7w/ocH/BNe88JwaTBHpkfwt1CzjsI49sSW4tJoxEFHRQnygDoK+Sq4Sc8+xfvtc1H7r6fha/zZ+i5RxHleV4PLcQ8Mp1KFaEpJqPLKNOcp6PdufOoyurLkTvK9ofB3/BqlrHxMl8B/FzQb6K5/4Q2DV9Nn0yRoAIf7TeKVbkK+MlvJS0LLngbDxu5/W+vnT/gnf8IPhj8DfDvjL4e/CHwTZeH9Fh1+3nj06wVtgkks4S7ksSzEnHJJ4AHQAV9F16vDUHDI6CvfS/3tv8Di8S+IsNxZxxjM1oUvZQqSVo6X92MY3dtOaVuaVr6t6vc+Ov8AgvN4k+LHhj/gmT48u/hLLexSXD2dr4gm0+PMiaVLOqXOSOVRlIRyP4HbPBJr8yv+CJXjb4har4B+K/gbWPEt3N4Z0XwdeXGiafLODFZXM4H2l4x1TeIoCf4cpnruz+9nijwx4e8a+GtQ8HeLdHt9R0rVrKWz1Kwu4w8VzBKhSSN1PVWViCPQ18nftA/Ar4Q/s4+EtO+FHwO8A2Hhvw9ZeAvEkttpenIQivJLau7ksSzMWPUknoOgArwuLcrq1E8cqloxik49/eX4a39Uvl9Hw3x3gcH4d4jhWWFTq1qyqKrpokot+fMuTlVtOWctVa0vVP2QvHepeO9JGp2Xjp/EujnS4li1j+0FukmlTCZEqfIzHa27HccjOa9rqvpKJHpdusaBR5CcAY7CrFfVZXgp5fg1RnUc3du731d+7/M/KsVXjiKzmo8q7I5n4033jfS/g54s1P4Z2zzeJLfwzfy+H4Y4RIz3y27mBQrcMTIEGDwelfzr/wDBJD4t/ELw5+3Rdan4k+NWqeFI/EGm6kfG+tyazFZTTthpgJZrgHDNdCMkfeJJ7Zr+k6vjr9h74G/CH4d/tM65468E/DzTtN1nxZpviG68SajDGxlv5hrFuQzliccuxwuBluleBxLgqmLx2EjCo4NuSuuml7rVa6WP0/gTjjA8NcI51llbCqrLFQioydtLNr3r9Fzc0bbTS73XhPxnsfg3daTc/Hz4U/EO38XfFq18RaNF4T8Wxa5b6rrH9p/aFitLCJlOFikR50eBQFeOSd2BwWX9O6+Ofjz8DvhDr37d2nfGvWfh9p1z4r0LWPCtro+uSoxmtIXvBuVBnaM+Y/OM/McGvsar4Yws8JUxUJ1HNqdrvq0t+urvr6HyvEea08fl2Coxcm4Rk25dOblSpx1fuQULx+HWUrRW7K574q2+lXHw+1RdZbbCtsWVgoJVx9wgHvuxXQ14n+2B8VG8MeE7jR9GsJb67tIhObKIc3M7YW3twcE5eRlHTjINetnmKp4TK6kpK/MuVLu5aJf10PncDSlWxUUtLO7fZI87/ZR8Q+FvGn7XGu2+owubrwv4aa18OvJFGYpZnlibUnjbeW3xh7CI/Iu3e4ydxA+sK+Trz4Ha3+zje/D7VNCulutV0G6S/wBTundB/aMlxuXVl3mIAeaZpJVAC/OsWSoGR9YRyJKiyxsGVgCrA5BFefwu/YYOWCmrVKTs13vqn8/0OnNFz1lXi7xmtPluha/DT/g6R8R/Fif9qfwH4T1uS9XwVb+CjdaBG0eLZ9Qe5lW8ZT/HIES0BzyoK9N3P7l18q/8FK/gj8JfjfeeDtL+LngGw8QW2laVrl/p8GoKxSG5QWYWTAIzgEjByDnkGr4rpupkdVp2tZ+uq0PtPCfizCcF8bUMzxND2sUpxsrcy5otc0b6X6f4Wz5m+AHj7wD8d/2W/AXhr9pn9qNvEl5q2h6ZLrvgzXfG9mba7ulKPFBNaJtLgOsZ8k5BZQGU8ivqP/gmJHFpPh34l+C/Bi7fAehfESW28FQQRqLS1DWdtLfW9qV4MKX0l0MDhHMiDG3aOn/aV8DeD/iF+w4ngzxr4dttR0rVrHw/bajZToQk8T3tkGQ7SCAQexBq9+wN4D8G/DD4Ey/D74e+HLbSNE0nxLqEGnabZqRHBH5ucDJJOSSSSSSSSSSa8rLMtr4DiKMaleVR+ybu+17W3enX1OPH8QYfG5Fioxg4e1q3VNW9lC7UueOvx6ezXur3G/ed7Htdcj8ePCPwX8d/CDX/AAp+0TZaLceCbuxI8RR+IbhYrIQKwfdLI7KECsqsGyNpUEEECuur84/+Dm3xJ8WNF/YW0TS/A8t7H4e1TxrbweMntEyjQLFJJAkzDlYzOiH0LqgPOAfqszxUcHl9StKPMop6d/Xy7+R5vA+R1eJOLsFltKt7GVWpFKezjbW8dve093Ve9bVH3n8HPB3wf8H/AAq8P+GfgdpWjQ+D7PSoU8OJojpLaG025jaJ1JEisDu35O7O7JJzXUKqqAqqAB0AFfi3/wAEavjzrEP7IreHvif+1/qvhe10bxJcWnhfR28a2lisVjsjkO2OUFyvnyTYJ46gcCv1a/Zp8Wax4z8OXevXGunVNOuWjl07UROJUnDqSWjcfKyEbSCvHPFeHlXE+FzHEU8NClKLa8uVWV9PLotF0OvjXhbE8NcQY3CVa6qulUkue7vLXd3+1r7yu7O+r3PS68P/AOClfiP4seEv2Cfit4k+B73qeJ7PwddPp0umx7riJcATSRjqHWEyMCOQVyOQK9wqj4mLDw3qBXqLGXH/AHwa+lr03VoSgna6av2utz5nK8ZHLszoYuUFNU5xk4vaXLJPlfk7Wfkfz2/8EMPirrfgn4p+NvDWo/Hy98D+GL3w/FdXklt4gttOW6vo51SAF5gSxEclz8q+5PQV+gWiaH8IdB+O/wANPiv+z/4mtdc+IHiH4s21tqPifTtTh1LUdbspVA1aK7mViZLeKxQSFeFgMMBUISN3s/8AwTF+Bfwe+CQ1/RfhN8O9N0K11Pwt4fv9Qiso2P2i5f7aGkYuSScADGcDsBVHwh8EPhFpX/BRW4+OmnfD7TovGGoeNrywvPECo3nyWy6C4EfJ2qMIgyACdoya/LsFlldYTBYh15csqkUo9I+89Vr5dup+z8W+IGX8Qca5hmlGjKlCVK3KrXqWhGNqtmlyv7XxaJRtrzL7Fooor9WPwk/N/wCAPxN8d3L/AAWZPFt/c/EfVvi9OnjTTZo4muzPvvRrcNxCeYYreKR8YA8tVtsffTd8N/8ABxB4u+Oj/wDBT8WGozaolloui6S/w4jWA7QjRpI8kAA/eMb0TKWwSWjC9FUV+n3w5+CPwm0T/goPdfHLS/ANhB4v1fxpqtlqXiBVY3E9uulyhYzkkKMRx/dAztGc0n/BRT4J/Cb4n/F3S/GPxB8BWGr6n4U8Gvd+HLy8VmawnN0T5iAEKTlEPzA4KgivzGpg5x4fxEfaP3a/32aj+N7+qR++8I+IOR8McbwzOOC54ToVE42inGdR89o9OSNvZp6NwlJ8qvyH1R8KrzxfqHwv8N6h8Qbdodfn0Czk1yJ4whS8aBDMpUcKRIWGBwK36KK/TYrlikfg1Waq1ZTSSu27LZX6LyR+eX7Y/wAT5/DHj/8AaWv/AIk/EG70a80bw3ZDwh57xRtbaYdKDWs9mj8Sl9TkvE3YO6VFj5wFroPgp8ebO+ttDhuP2xbzXvEGoaTDHdaJP45s7kyXTRK0qpDEAxcMGwFPGDX1j8Sf2Yf2f/jB8R/C3xe+J3wn0jWvEvgqczeFtYvYC02nyFlfchBwcMqsu4HawyMHmu4W1tUbeltGCOhCCvjK3C2NrYutVjinBTk3ZX2fR6rbZeR9hj+IsprYDD06OH/eRjFTbUUk4wjBKLV21Llc5NpPmlaztzSpeEJtWuPCunT66hW8ezjNwGGDu2jOR2Pr71o0UV9jSg6dOMG72SV318z42UuaTdrXPlf9tjxRrOl/tTfCzRvEOuT2PhaXw/r1zZLI6x2lzrifZVjSRyRmRbOS+ZE7jzWAOwlfm/8AZ6+O/gbxV8MNRtPGn7aF0ukyeKNctNN0W88b2FtbzaOt/PHbxmEAHymgAA5BZCDnnNfoN8df2fPgv+014Bk+F3x6+Hen+J9AkuorltN1JGKCaMkpIpUhlYZIyCOGI6Eg9Jo3hrw94d0e08P6DolrZ2NhbR21laW8CpHBCihUjVQMKqqAAB0Ar5TH8N4vGZlUxMMS4KSSsr30VrbrTr82fX/2/lUcgo4VYe9aLs21HlsnOSaercpc6Uk0rKCacua0PPv2YPC40rQNX8UBpP8AieahHMu7GwrHBHEGTjkHb159q9PoAAGAKK+iy/BrAYKnh078qtfufKYis8RXlUta4V41+1V4Ffxtdabpw0t2N9p13pi3kCkyItxsDoOoH3FYZH8J7A17LRWeaYBZngpYdy5U7a+jT/QrC4h4WuqiV7X/ACGW0It7eO3UkhECgn2GKfRRXoHOcv8AG6/8c6V8F/F+qfDC2ebxLbeF9Ql8OwxQiRpL5baQwKFbhiZAgweD0r83rP43+FvDdz8AbHwp+0zfaBFq/hq/fxBqa+ILW2ubqz+wo0kt1LNkxynUY4VYcEy+cpHyMF/UmuB+Fn7Lf7PPwS8ZeKfiF8KPhHo2ha142vvtninUbG2xJqM++R975JA+eWRsLgEuTjNfO53kuIzWvRnTrOnyX2vfXqtVr032Pq8izvLMuy3EUcTR55yu4aRs24yhabeqUebnhZP3lZpX5o/PvwEj8G/FnxraN4W+LsnjSe312xvdU1Zdfg1GeMW0qzRRyPF8qJ+7IAIBO5sHJ4+wKbHDDDnyolXPXauKdXVk2VSyqlOMqrqOTu2/RLu/zPAxmLWLnFqPKkrWCuYvfhdpN78RIfiFJdv5kSDdbbBtaQLtV89eB29QPoenor0MRhcPilFVY35WpLya2Zz06tSk24O11b5M5r4jfDTTviNBaRXt/JbtaTFg8aBiyNjcvPTOBz29DXRQQxW0CW8K7UjQKijsAMCn0U4YXD0q860Y2lO133tsEqtSVNQb0W3zCvjX9qvxrFpH7ZutWPxX8XSaX4csfhDDc+HFvpkgtCj3dz/a86MxAeVFi08PnOxGQ8B+fsquE+OX7MXwA/aXt9FtPjz8KNI8Ux+HdUXUdFTVYC4tbgDG4YIyCMZQ5VsDIOBXBneXVM1y+WHhLlbaflo9n/W57PD2YYDL8dKWNi3TlFxbik5x1TTjzNK91yvVe65Hwh+zD8bfD3jj4FeA2+Kn7YV3q2rXmlWMt34e1fxrYqs1wGVoEe2QKwcMImEYwQ4AI6ivvD9nbwk3hP4chZBMH1HUbm/dJhgqZXzgDA4wARn1rtvslqG3C2jznrsFSVw5VkFXL8Y8RVxDqPl5dVsrp7tvsRmubUsxnN06KpRlJytHZXvotFor29EFc/8AFT4V/Dv43fD7VPhV8WfCNnr3h3WrcQ6ppN+haK4QMGAOCCCGVWBBBBUEEEV0FFfRyjGcXGSumeTRrVcPVjVpScZRaaadmmtU01qmnqmtjB+HXwv+Hvwl8DaV8NPht4QsdH0HRLJLTStMs4QI7eFRwozkn1JJJJJJJJJrdVVUBVUADoAKWiiMYxSSVkhVatSvUlUqScpSbbbd229W23u31YV45/wUG1zx74b/AGLviJrfw1vNRttVg8POTd6PD5l3bWpdBdTQj/nolsZnUjJBUEcgV7HSSRxyxtFKgZWBDKwyCD2NZ16brUJU07XTV+11udWXYqGAzCjiZQU1TnGTi9pKLTs99Haz0Z+a+tfG/wAGeHf2oNJ8I+Ef2o38K+HZPhaLm/XSPFVna28pF3F/ZjebJuLloJbxlUHBTa/Qgn6F/ZWsPCnj/wAdaX4t8I/EA+KIdJ1G5vb3XYtWivjcXLWsluRNNHlSwSZflGCAq9gc+z/Aj9l79nz9mPw9f+FPgF8JdH8LadqepPqF/a6Xb7VmuGVVLncSfuqoCj5VA4Aru44o4htijVR6KMV8fgOFMThp0ZVcS2oSUuVJ8t076Xf427nvZ1neW4iq4YGk1Dl5VKSSnLvKSjdXu7Jczskld2HUUUV9qfKH5VXHxv1bQPhD8L9Y8UfHS/8ADnj3Vfi1JD4zu5dStrS9gvDPdjWYJvNyLeOGN3UYA2KLcD767vefAE3gT41a1deFtA+PU3jnUtQtktbiZvFFvqNzZ2xfB2iIYjTLEksMZ719P+Hv2Xf2e/Cnxw1r9pPw78JNGtPHXiKyW01rxNFb/wCk3cIEY2sc4GfJiyQAW2LknFd1HbwRHdFCin1VQK+Fp8H4qzjUxT5XK9knZ63u9d36PXufb55xLleNrqpgsPy35m21FNSm23GPLf3IfDHZtXdo35U+iiivuj4gKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACvH/wBs39ur9nL9gj4faf8AEn9o7xRfWNjq2qGw0y10jRrjULu5lWGSeVkgt0aQpFBDLNI+NqJGzEivYK+B/wDgtx4c+JegeIvg3+0f4P8Agt4r8e6R4PXxro2uaH4L0STUr5Jtb8M3en2U32ePLGL7SUid+kaz7jwDQB90+FfFHh7xx4X03xr4R1iDUdJ1iwhvdL1C1fdFc28qCSOVD3VkZWB9DV+vIv8Agn/8JvGfwG/YW+DnwT+IsezX/Cfww0LSdbi3hvKu7ewhiljyOCFdWXPfbXrtABXM/Gb4veBvgF8Ktf8AjP8AEu/uLbQfDemyX2pzWljLcyiJBkiOKJWeRycBVUEkkAV01ch8fviBpXwr+Cfin4h63omtala6TolxPPYeHNGm1G+nAQjbBbQK0kznPCKCTQBF+zt8fPhz+1J8DvC/7Q/wivrq58M+L9Ii1LRJ72ze3leCT7peN/mQ8dDzXaV8i/8ABCnXtSvf+CWvwo8G+IPh94t8Max4P8Px6Drmk+MvC91pN0l3Aqs5SK5RGki/eDbKBtYhgDkHH11QAUkkiRRtLIwCqCWJ7ClpJHEcbSMCQoJIAyTQB4l+yV/wUK/Zj/bX8R+LfB3wM8Raw+reCpbb+29L8QeG7zS7j7PchzbXkUd1GjTW0wjkMcygq2047Z9ur4C/4JD/ABZ1D9p79qD49/tYfFf4QfEbwd458VXljpemaD4x+HuoaRaaR4V06W5h023iubmJI7u5maS4u5/LJCG4RBwmT9+0AFFFFAHiN1/wUK/Zo0/9sey/YW1LWddtfHepxTHS2uvC95Hpd9PDareS2kN+0Yt5bhLdllaJXLKp5weK9ur89vjPp3in4m/8F0fg74p+F3wf+Lkd74Bt9asviHrXiXSrj/hDI9Cm0hzBd6bLIWtxeyXcsMJeDbMVjkSQbVFfoTQAUUUUAeWftYftl/AL9irwn4d8ZftAeKpdMtPFfjGw8L6CltZvcS3epXjlYYlRATj5WZm6KqkmvU6/L7/g4P8Agl+2x8SfE3gL4gfAv9l5fib4U8Jy6M1nDaeJha3Wla5J4n0uV7j7KsEslwrW1oluZhtW2iubmVtyqy1+nenTXtxp8E+o2a29w8KtPbrLvETkAsobA3YORnAzigCaiiigDzT9rD9q74V/safCgfGL4vW2vXGmya1ZaTa2XhjQJ9Uv7u8u5hDBDDbW6tJK7uwUBQTzXU/CT4l6P8ZPhponxT8P6Jrem2Wu6el3bWHiTRptOv4EYcJPbTqskDjujgEV4V/wVh8IfCHxl+yh9k+OPg74u6x4fsfFemajIfgfa3EviGxuLeUy291CLb9+qpMseXh+dSVPChiNT/glMv7Saf8ABO/4Tr+142sn4hf8Iwv9vHxI2dS2+dJ9m+1nr9p+zeR5uefM355zQB9B0UUUAVtZ1jSvD2kXfiDXdQhtLGxtpLi8u7iQLHDEilndmPAUKCSewFeXfsg/tsfAf9uTwJffEn9n+/1u50iyvxbrc634au9N+1o0ayRXVuLmNDPbSowaOZMo4zg8EVd/bW+Gvi/4z/sb/Fn4P/D4j+3vFXw013SNEy+0G7udPnhhGT0+d15r4/8A+Dejw1+0P4R+C3jfw98TdN+LNj4Lsbjw9aeCtO+MqzrqlrfRaHax63HAtx+8SwXUFdYFH7oKreX8mKAP0NooooAK+fPhH/wUu/Z5+Mn7WWqfsWaJ4a+IOkeONMsdRvvK8U/D7UNMs721srlLae4trm4jWO4i8yRAskZKuGBBORX0HXyh+zn4H8Z/Eb/gqh8fP2m/GnhPVLDSfCfhfw/8N/h/dalp8sCXsCo+rapc25kUCWJrm7t4fMTKlrMjOVNAH1fRRRQAV4F8av8Agph+yR+z9+1D4Z/ZB+JfjPU7bxj4ofT0tVtfD91cWNk9/PJb2CXd3GhitWuZopI4hIwLspAr32vyg/4KR/Bv44+Kv+CzXw/8b+HfgT461eaPUPh23gHWdA0KSbwzLa2mtX82vvrsqjyvNtrWWOW0M53Ru+6H5iaAP1fooooA/9k=", 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", 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", "info": {"equation": "20+5*8=60", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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cVy3Ts5Pl0+BW5F1VNydvsn138KrzxfqHwv8ADeofEG3aHX59As5NcieMIUvGgQzKVHCkSFhgcCt+iiv1mK5YpH8r1ZqrVlNJK7bstlfovJH8+P8AwX9+JP7QGgf8FVrrVrrXdW00eFrDR7j4aXMeYhbQiKObz7cjgn7b9oy/XdHtPCAD9FPhn8UvB/jOLw1B4l/atl8V661rBKNBv/G9ndj7e1viQpBFgl13SgAZwCeK7P8A4KA/BL4TfEj476Z488e+AbDVdX8KeFLW48OX94jM1hK19MS6DO0nKIRuBwVBGDX2Gtrao29LaMEdCEFfn39hV8xzPGQjiJQXMrrdPmV7PVbbeh+u8WeIGAznhXJMBSwahPCUnCUtPea5VeNlez5eeV/tyfq+b+C3hI+B/hbo3hljLugti7CfG8NI7SEHAGMFyMe1dRRRX3tCkqFGNNfZSX3Kx+QTk5zcu58sftseJ9Z0v9qb4WaN4h1yex8LS+H9eubJZHWO0udbT7KkayOSMyLZyXzIhPI81gDsJHz1+1P8Rvj2/wDwQj8deKfh1qurXAn1rUrTT9UgtlE03hN9bliWUFBzC1kQPNH3oTuzg7q+rv8Agob8JPhr8b/hp4U+Hvxa8HWuu6JdeOIpLjTrwuEdk0++ZDlGUgggHg0eHvD+hwf8E17zwnBpMEemR/C3ULOOwjj2xJbi0mjEQUdFCfKAOgr5KrhJzz7F++1zUfuvp+Fr/Nn6LlHEeV5Xg8txDwynUoVoSkmo8so05yno92586jK6suRO8r2h8Hf8GqWsfEyXwH8XNBvorn/hDYNX02fTJGgAh/tN4pVuQr4yW8lLQsueBsPG7n9b6+dP+Cd/wg+GPwN8O+Mvh78IfBNl4f0WHX7eePTrBW2CSSzhLuSxLMScckngAdABX0XXq8NQcMjoK99L/e2/wOLxL4iw3FnHGMzWhS9lCpJWjpf3Yxjd205pW5pWvq3q9z46/wCC83iT4seGP+CZPjy7+Est7FJcPZ2viCbT48yJpUs6pc5I5VGUhHI/gds8EmvzK/4IleNviFqvgH4r+BtY8S3c3hnRfB15caJp8s4MVlczgfaXjHVN4igJ/hymeu7P72eKPDHh7xr4a1Dwd4t0e31HStWspbPUrC7jDxXMEqFJI3U9VZWII9DXyd+0D8CvhD+zj4S074UfA7wDYeG/D1l4C8SS22l6chCK8ktq7uSxLMxY9SSeg6ACvC4tyurUTxyqWjGKTj395fhrf1S+X0fDfHeBwfh3iOFZYVOrWrKoqumiSi358y5OVW05Zy1VrS9U/ZC8d6l470kanZeOn8S6OdLiWLWP7QW6SaVMJkSp8jMdrbsdxyM5r2uq+kokel26xoFHkJwBjsKsV9VleCnl+DVGdRzd27vfV37v8z8qxVeOIrOajyrsjmfjTfeN9L+DnizU/hnbPN4kt/DN/L4fhjhEjPfLbuYFCtwxMgQYPB6V/Ov/AMEkPi38Q/Dv7c91qniP41ap4Uj8QadqR8b65JrMVlNO2GmAlmuAcO10IyR94nPbNf0nV5T8CPhD+xz4G+JXj/xD+zz4e8GweKtX1hZPiM/h+7imuhel5XC3SK7GBy7TNsIXJLHGc15meZNWzTEUZU63s+W/rr1Wq10112P0zgfjrB8McJ5zllXB+2eLhGKlZWhZte+3fRc3NC320u918NfGex+Dd1pNz8fPhT8Q7fxd8WrXxFo0XhPxbFrlvqusf2n9oWK0sImU4WKRHnR4FAV45J3YHBZf07r45+PPwO+EOvft3ad8a9Z+H2nXPivQtY8K2uj65KjGa0he8G5UGdoz5j84z8xwa+xq5uGMLPCVMVCdRzana76tLfrq76+h8xxHmtPH5dgqMXJuEZNuXTm5UqcdX7kFC8fh1lK0Vuyue+KtvpVx8PtUXWW2wrbFlYKCVcfcIB77sV0NeJ/tgfFRvDHhO40fRrCW+u7SITmyiHNzO2Ft7cHBOXkZR04yDXrZ5iqeEyupKSvzLlS7uWiX9dD53A0pVsVFLSzu32SPO/2UfEPhbxp+1xrtvqMLm68L+GmtfDryRRmKWZ5Ym1J423lt8YewiPyLt3uMncQPrCvk68+B2t/s43vw+1TQrpbrVdBukv8AU7p3Qf2jJcbl1Zd5iAHmmaSVQAvzrFkqBkfWEciSossbBlYAqwOQRXn8Lv2GDlgpq1Sk7Nd76p/P9DpzRc9ZV4u8ZrT5boWvw0/4OkfEfxYn/an8B+E9bkvV8FW/go3WgRtHi2fUHuZVvGU/xyBEtAc8qCvTdz+5dfKv/BSv4I/CX433ng7S/i54BsPEFtpWla5f6fBqCsUhuUFmFkwCM4BIwcg55Bq+K6bqZHVadrWfrqtD7Twn4swnBfG1DM8TQ9rFKcbK3MuaLXNG+l+n+Fs+ZvgB4+8A/Hf9lvwF4a/aZ/ajbxJeatoemS674M13xvZm2u7pSjxQS2ibS4DrGfJPBZQGU8ivp/8A4Jeafp3h3w98T/BngCyit/AekfEmaLwfBZ26JaQM9nbS6hDbFOGiS/e5HGQshkQY27V6v9pXwN4P+IX7DieDPGvh221HStWsfD9tqNlOhCTxPe2QZDtIIBB7EGr37A3gPwb8MPgTL8Pvh74cttI0TSfEuoQadptmpEcEfm5wMkk5JJJJJJJJJJrycsy2vgOIoxqV5VH7Ju77Xtbd6dfU48fxBh8bkWKjGDh7WrdU1b2ULtS546/Hp7Ne6vcb953se11yPx48I/Bfx38INf8ACn7RNlotx4Ju7EjxFH4huFishArB90sjsoQKyqwbI2lQQQQK66vzj/4ObfEnxY0X9hbRNL8Dy3sfh7VPGtvB4ye0TKNAsUkkCTMOVjM6IfQuqA84B+rzPFRweX1K0o8yinp39fLv5Hm8D5HV4k4uwWW0q3sZVakUp7ONtbx297T3dV71tUfefwc8HfB/wf8ACrw/4Z+B2laND4Ps9KhTw4miOktobTbmNonUkSKwO7fk7s7sknNdQqqoCqoAHQAV+Lf/AARq+POsQ/sit4e+J/7X+q+F7XRvElxaeF9HbxraWKxWOyOQ7Y5QXK+fJNgnjqBwK/Vr9mnxZrHjPw5d69ca6dU065aOXTtRE4lScOpJaNx8rIRtIK8c8V4eVcT4XMcRTw0KUotry5VZX08ui0XQ6+NeFsTw1xBjcJVrqq6VSS57u8td3f7WvvK7s76vc9Lrw/8A4KV+I/ix4S/YJ+K3iT4Hvep4ns/B10+nS6bHuuIlwBNJGOodYTIwI5BXI5Ar3CqPiYsPDeoFeosZcf8AfBr6WvTdWhKCdrpq/a63PmcrxkcuzOhi5QU1TnGTi9pcsk+V+TtZ+R/Pb/wQw+Kut+Cfin428Naj8fL3wP4YvfD8V1eSW3iC205bq+jnVIAXmBLERyXPyr7k9BX6BaJofwh0H47/AA0+K/7P/ia11z4geIfizbW2o+J9O1OHUtR1uylUDVoruZWJkt4rFBIV4WAwwFQhI3ez/wDBMX4F/B74JDX9F+E3w703QrXU/C3h+/1CKyjY/aLl/toaRi5JJwAMZwOwFUfCHwQ+EWlf8FFbj46ad8PtOi8Yah42vLC88QKjefJbLoLgR8naowiDIAJ2jJr8uwWWV1hMFiHXlyyqRSj0j7z1Wvl26n7Pxb4gZfxBxrmGaUaMqUJUrcqtepaEY2q2aXK/tfFolG2vMvsWiiiv1Y/CT83/AIA/E3x3cv8ABZk8W39z8R9W+L06eNNNmjia7M++9Gtw3EJ5hit4pHxgDy1W2x99N3w3/wAHEHi746P/AMFPxYajNqiWWi6LpL/DiNYDtCNGkjyQAD94xvRMpbBJaML0VRX6ffDn4I/CbRP+Cg918ctL8A2EHi/V/Gmq2WpeIFVjcT266XKFjOSQoxHH90DO0ZzSf8FFPgn8Jvif8XdL8Y/EHwFYavqfhTwa934cvLxWZrCc3RPmIAQpOUQ/MDgqCK/MamDnHh/ER9o/dr/fZqP43v6pH77wj4g5HwxxvDM44LnhOhUTjaKcZ1Hz2j05I29mno3CUnyq/IfVHwqvPF+ofC/w3qHxBt2h1+fQLOTXInjCFLxoEMylRwpEhYYHArfoor9NiuWKR+DVZqrVlNJK7bstlfovJH55ftj/ABPn8MeP/wBpa/8AiT8QbvRrzRvDdkPCHnvFG1tph0oNaz2aPxKX1OS8Tdg7pUWPnAWug+Cnx5s7620OG4/bFvNe8QahpMMd1ok/jmzuTJdNErSqkMQDFwwbAU8YNfWPxJ/Zh/Z/+MHxH8LfF74nfCfSNa8S+CpzN4W1i9gLTafIWV9yEHBwyqy7gdrDIwea7hbW1Rt6W0YI6EIK+MrcLY2ti61WOKcFOTdlfZ9Hqttl5H2GP4iymtgMPTo4f95GMVNtRSTjCMEotXbUuVzk2k+aVrO3NKl4Qm1a48K6dPrqFbx7OM3AYYO7aM5HY+vvWjRRX2NKDp04wbvZJXfXzPjZS5pN2tc+V/22PFGs6X+1N8LNG8Q65PY+FpfD+vXNksjrHaXOuJ9lWNJHJGZFs5L5kTuPNYA7CV+b/wBnr47+BvFXww1G08aftoXS6TJ4o1y003RbzxvYW1vNo6388dvGYQAfKaAADkFkIOec1+g3x1/Z8+C/7TXgGT4XfHr4d6f4n0CS6iuW03UkYoJoySkilSGVhkjII4YjoSD0mjeGvD3h3R7Tw/oOiWtnY2FtHbWVpbwKkcEKKFSNVAwqqoAAHQCvlMfw3i8ZmVTEwxLgpJKyvfRWtutOvzZ9f/b+VRyCjhVh71ouzbUeWyc5Jp6tylzpSTSsoJpy5rQ8+/Zg8LjStA1fxQGk/wCJ5qEcy7sbCscEcQZOOQdvXn2r0+gAAYAor6LL8GsBgqeHTvyq1+58piKzxFeVS1rhXjX7VXgV/G11punDS3Y32nXemLeQKTIi3GwOg6gfcVhkfwnsDXstFZ5pgFmeClh3LlTtr6NP9CsLiHha6qJXtf8AIZbQi3t47dSSEQKCfYYp9FFegc5zPxpvvG+l/BzxZqfwztnm8SW/hm/l8PwxwiRnvlt3MChW4YmQIMHg9K/nb/4JG/Gf4neGf23L6XxB8ddZ8JWfiSy1CXx5qr67HZPdSqskqGeS44Mn2lh/t5dh0LV/SVXBfC39lz9nr4J+MvFPxC+FPwk0bQta8bXwvPFOo2NtiTUZ98j73ySB80sjYXAJcnGa+dzvJcRmtejOlWdPkvte+vVWa16b7H6hwTx9l/CvCub5VXwiqyxkIxjLS0Wrp819bK/NG200u918+fASPwb8WfGto3hb4uyeNJ7fXbG91TVl1+DUZ4xbSrNFHI8Xyon7sgAgE7mwcnj7ApscMMOfKiVc9dq4p1dWTZVLKqU4yquo5O7b9Eu7/M/O8Zi1i5xajypK1grmL34XaTe/ESH4hSXb+ZEg3W2wbWkC7VfPXgdvUD6Hp6K9DEYXD4pRVWN+VqS8mtmc9OrUpNuDtdW+TOa+I3w0074jQWkV7fyW7WkxYPGgYsjY3Lz0zgc9vQ10UEMVtAlvCu1I0Coo7ADAp9FOGFw9KvOtGNpTtd97bBKrUlTUG9Ft8wr41/ar8axaR+2brVj8V/F0ml+HLH4Qw3Phxb6ZILQo93c/2vOjMQHlRYtPD5zsRkPAfn7KrhPjl+zF8AP2l7fRbT48/CjSPFMfh3VF1HRU1WAuLW4AxuGCMgjGUOVbAyDgVwZ3l1TNcvlh4S5W2n5aPZ/1uezw9mGAy/HSljYt05RcW4pOcdU048zSvdcr1XuuR8Ifsw/G3w944+BXgNvip+2Fd6tq15pVjLd+HtX8a2KrNcBlaBHtkCsHDCJhGMEOACOor7w/Z28JN4T+HIWQTB9R1G5v3SYYKmV84AwOMAEZ9a7b7Jahtwto8567BUlcOVZBVy/GPEVcQ6j5eXVbK6e7b7EZrm1LMZzdOiqUZScrR2V76LRaK9vRBXP/ABU+Ffw7+N3w+1T4VfFnwjZ694d1q3EOqaTfoWiuEDBgDggghlVgQQQVBBBFdBRX0coxnFxkrpnk0a1XD1Y1aUnGUWmmnZprVNNapp6prYwfh18L/h78JfA2lfDT4beELHR9B0SyS00rTLOECO3hUcKM5J9SSSSSSSSSa3VVVAVVAA6ACloojGMUklZIVWrUr1JVKknKUm223dtvVtt7t9WFeOf8FBtc8e+G/wBi74ia38NbzUbbVYPDzk3ejw+Zd21qXQXU0I/56JbGZ1IyQVBHIFex0kkccsbRSoGVgQysMgg9jWdem61CVNO101ftdbnVl2KhgMwo4mUFNU5xk4vaSi07PfR2s9GfmvrXxv8ABnh39qDSfCPhH9qN/Cvh2T4Wi5v10jxVZ2tvKRdxf2Y3mybi5aCW8ZVBwU2v0IJ+hf2VrDwp4/8AHWl+LfCPxAPiiHSdRub2912LVor43Fy1rJbkTTR5UsEmX5RggKvYHPs/wI/Ze/Z8/Zj8PX/hT4BfCXR/C2nanqT6hf2ul2+1ZrhlVS53En7qqAo+VQOAK7uOKOIbYo1UeijFfH4DhTE4adGVXEtqElLlSfLdO+l3+Nu572dZ3luIquGBpNQ5eVSkkpy7yko3V7uyXM7JJXdh1FFFfanyh+VVx8b9W0D4Q/C/WPFHx0v/AA5491X4tSQ+M7uXUra0vYLwz3Y1mCbzci3jhjd1GANii3A++u73nwBN4E+NWtXXhbQPj1N451LULZLW4mbxRb6jc2dsXwdoiGI0yxJLDGe9fT/h79l39nvwp8cNa/aT8O/CTRrTx14isltNa8TRW/8ApN3CBGNrHOBnyYskAFti5JxXdR28ER3RQop9VUCvhafB+Ks41MU+VyvZJ2et7vXd+j17n2+ecS5Xja6qYLD8t+ZttRTUpttxjy39yHwx2bV3aN+VPooor7o+ICiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArx/8AbN/bq/Zy/YI+H2n/ABJ/aO8UX1jY6tqhsNMtdI0a41C7uZVhknlZILdGkKRQQyzSPjaiRsxIr2Cvgf8A4LceHPiXoHiL4N/tH+D/AILeK/HukeD18a6Nrmh+C9Ek1K+SbW/DN3p9lN9njyxi+0lInfpGs+48A0AfdPhXxR4e8ceF9N8a+EdYg1HSdYsIb3S9QtX3RXNvKgkjlQ91ZGVgfQ1fryL/AIJ//Cbxn8Bv2Fvg58E/iLHs1/wn8MNC0nW4t4byru3sIYpY8jghXVlz32167QAVzPxm+L3gb4BfCrX/AIz/ABLv7i20Hw3psl9qc1pYy3MoiQZIjiiVnkcnAVVBJJAFdNXIfH74gaV8K/gn4p+Iet6JrWpWuk6JcTz2HhzRptRvpwEI2wW0CtJM5zwigk0ARfs7fHz4c/tSfA7wv+0P8Ir66ufDPi/SItS0Se9s3t5Xgk+6Xjf5kPHQ812lfIv/AAQp17Ur3/glr8KPBviD4feLfDGseD/D8eg65pPjLwvdaTdJdwKrOUiuURpIv3g2ygbWIYA5Bx9dUAFJJIkUbSyMAqgliewpaSRxHG0jAkKCSAMk0AeJfslf8FCv2Y/21/Efi3wd8DPEWsPq3gqW2/tvS/EHhu80u4+z3Ic215FHdRo01tMI5DHMoKttOO2fbq+Av+CQ/wAWdQ/ae/ag+Pf7WHxX+EHxG8HeOfFV5Y6Xpmg+Mfh7qGkWmkeFdOluYdNt4rm5iSO7uZmkuLufyyQhuEQcJk/ftABRRRQB4jdf8FCv2aNP/bHsv2FtS1nXbXx3qcUx0trrwveR6XfTw2q3ktpDftGLeW4S3ZZWiVyyqecHivbq/Pb4z6d4p+Jv/BdH4O+Kfhd8H/i5He+AbfWrL4h614l0q4/4QyPQptIcwXemyyFrcXsl3LDCXg2zFY5EkG1RX6E0AFFFFAHln7WH7ZfwC/Yq8J+HfGX7QHiqXTLTxX4xsPC+gpbWb3Et3qV45WGJUQE4+VmZuiqpJr1Ovy+/4OD/AIJftsfEnxN4C+IHwL/ZeX4m+FPCcujNZw2niYWt1pWuSeJ9Lle4+yrBLJcK1taJbmYbVtorm5lbcqstfp3p017cafBPqNmtvcPCrT26y7xE5ALKGwN2DkZwM4oAmooooA80/aw/au+Ff7GnwoHxi+L1tr1xpsmtWWk2tl4Y0CfVL+7vLuYQwQw21urSSu7sFAUE811Pwk+Jej/GT4aaJ8U/D+ia3ptlrunpd21h4k0abTr+BGHCT206rJA47o4BFeFf8FYfCHwh8ZfsofZPjj4O+LuseH7HxXpmoyH4H2txL4hsbi3lMtvdQi2/fqqTLHl4fnUlTwoYjU/4JTL+0mn/AATv+E6/teNrJ+IX/CML/bx8SNnUtvnSfZvtZ6/afs3kebnnzN+ec0AfQdFFFAFbWdY0rw9pF34g13UIbSxsbaS4vLu4kCxwxIpZ3ZjwFCgknsBXl37IP7bHwH/bk8CX3xJ/Z/v9budIsr8W63Ot+GrvTftaNGskV1bi5jQz20qMGjmTKOM4PBFXf21vhr4v+M/7G/xZ+D/w+I/t7xV8NNd0jRMvtBu7nT54YRk9Pndea+P/APg3o8NftD+Efgt438PfE3TfizY+C7G48PWngrTvjKs66pa30Wh2setxwLcfvEsF1BXWBR+6Cq3l/JigD9DaKKKACvnz4R/8FLv2efjJ+1lqn7FmieGviDpHjjTLHUb7yvFPw+1DTLO9tbK5S2nuLa5uI1juIvMkQLJGSrhgQTkV9B18ofs5+B/GfxG/4KofHz9pvxp4T1Sw0nwn4X8P/Df4f3WpafLAl7AqPq2qXNuZFAlia5u7eHzEypazIzlTQB9X0UUUAFeBfGr/AIKYfskfs/ftQ+Gf2QfiX4z1O28Y+KH09LVbXw/dXFjZPfzyW9gl3dxoYrVrmaKSOISMC7KQK99r8oP+Ckfwb+OPir/gs18P/G/h34E+OtXmj1D4dt4B1nQNCkm8My2tprV/Nr767Ko8rzba1ljltDOd0bvuh+YmgD9X6KKKAP/Z", 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", "info": {"equation": "20+5*8=60", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "3acc5745d5e1a8cd76610286e07ea8dcb9420122b6ad90a56db25d6907c74a9f"} +{"episode": 51173, "episode_seed": 3069737011, "split": "train", "timestamp": "2025-10-28T03:47:44.843118", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3069737011, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 5, 4, 0])", "action": "('move', [3, 5, 4, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "42-37=5", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", "info": {"equation": "42-37=5", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "11117ed75a4371d0b17802743a8e6ff1bb66f89ed567b34ad2da757a26ce30b8"} +{"episode": 51174, "episode_seed": 75022363, "split": "train", "timestamp": "2025-10-28T03:47:44.901528", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 75022363, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 7, 0, 0])", "action": "('move', [2, 7, 0, 0])", "reward": 0.0, "image": 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", 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iHxX8A/g0/wC3vf8A7QUvw405vGqfFHSbNPEboxuFg+wWKbBlto+QldwG7BIzgmuPiuhKqsLJSa/eRWn97r6q2nqcPCOZ5bgY14Yylz/DUjpF3dPm/dyva1Opz++1d+6vdfT5W/4OpfFHxkt5PhZ4Oglv4/h/cx3l1cLFHi2m1dCFQSMOrrAzFFPZ5CM84+pf+DeLWvirrP8AwTP8PJ8TYLlbWy1/ULbwi9zbiMyaSroUKkcugna5UMey46AV69/wUY+Enw2+N3w48HfDz4s+D7XXdEuvHaST6deFwjummaiyHKMpBDAHg11n7EPh/RPCn7M2geF/DOlQWGnabeapa2FlaxhY4IY9SulSNQOgCgAfSjDYdw4vrT5nrTTt80remlz6rNOPMDjvCHB8NRwijUpVnJ1NLNe87rrzvm5ZX0sut7R9Yrw7/gpV4m+MXg39g34p+J/gE98niyy8JzyaZLpkW+5hXKiaSIdd6wmVgR8wKgjkCvcaCAwKsAQRyDX1Fem61GVNO101dbq63+R+X5XjI5dmdDFypqoqc4ycZbS5ZJ8r8naz8mfzS/8ABG/x98TNI/bL8P8AgLw74nvIfDmv3pn8Uaak48m8Nvb3DWzurfeZJXypX5hub+HdX7J/szfEHVP+Eu1vwR4R+Ib3uoWnji9mufDqamkhsUkuCAGhX5oo3GX+bglmYH06r4n/ALKP7OX7MPgWJvgB8H9G8KHxH8QdPu9bOk25T7VKBNtJyThV3vtQYVdzYAya9H/Y6jQfCi8kCDcfF2s5bHJ/06avzbCcO4mjm8cI67TUOa8b7c/wrVevr0P1bxM4+y/jjOp5xhcL7ODUYWlbmbjH4pWur68q1+GMdeh6tRRRX6cfjZ+aX/Bz14o+MuifsdeFdD8Dy38XhPV/Fvk+NpLOP924SPzLSKZhysZlVmA+6XjTPIUH5e/4IffGnVtD+BXirwh44/aj1DwXoena/E3hzTYvFdppyO8sbtdOqyje/IhyegJwOc1+13xT+Ffw7+N3w/1T4VfFnwhZ694d1q3EOqaTfx7orhAwYA4wQQyqwIIIKggggGovhV8HPhd8D/h/pvwr+EvgbT9B8PaPE0em6VYw4igVnZ2xnJJLMzEkkksSSSa+TzLh3FY7NHiqeIdNOKWl7ryWq0e++/Q/XsL4k5bh/Cn/AFUlglKr7b2ntNLWvzc21/af8u9rez69D89rDwT8DvB/xv8Ag/8AEv8AZrn0zUvH2sfF2FJPEekXUOo6hrtlcu4157ucFmmjW1MsjueIXWILs3BW/S6viL4J/AL4L+Ff25Yfjf4d+G+m2ni7W/iX4nt9U1+NGM88Qj1UbOSQo/dR52gZ2DOa+3aOEaEqGErJyb/eSWvlZX+fU+R4tzWnmP1WEZSm4U9ZT+JuTb5VrL3IfZu7tuUrRvyor4p+Onju5039u/xvZ/GDxc2maPpPw80yfwbDqlwlvZDTnad9Uuo2YgO4mihWZjyiRw52qQW+1q+VP+CjPwE+Dfx78ceAtJ+M3w60/wAR2ulaNrt5p9vqKsUhnEumLvAVhngkEHIPcVvxbSdTI6jUrcrT9dUrP77/ACOXhTFYHD5lKni4twqxcW4pOUNYyUoqTSv7vK9V7spa9H4V+0/8Q/2nrX/g3ybxd4audeXX5/DkVvd3psBDfHw2180STyIoHl79N8lnYAEK7MdvJHzV/wAGr+tfFaP48/Ezw7psF03geXwnBcaxILYGFNUW5RbQGTqrmF7zCj7wUk/dFfqhcW8E/wDwT3e0mhVon+DRRo9vylTpOCMemK88/wCCcfwL+EHwA8T+NvCPwY+H2n+HdNudG0O7ubWwVsSztJqSmRmdmZjhVHJ4A4rgrYSUOIMC+dv3Gv8AwGP/ALdfU/RcD4iZbh/DrOck+oxU8VW9pFq3LBSlF8r0T/d8v7u2mr2tr9UUUUV9ofih4/qnwb/YkvP2vbL4p6v4e8EN8ak0fNjPNfQjWTZiN4vNW3L7mUR+Ynm7CQoK7sDA9cW1tUYMltGCOhCCv5i/2kfjH+1ToP8AwVC8U/E7xB4v1rRviTp3xFngtb95Ft57JFlMEEabvkSIW5RFB+QxnnKkk/s54J+OnhM+Jo7DQf2zrrxDd3ga3t9JuPHtndeczf3I4wHL8cbTnrXwsOMsHQlVjKg0+Z7W185bWffc/aPEXw0zDhahlk6uPWIVaimrtvktZ8sNX+7973Hpf3tEfblFYvw8udbvPBOm3XiIP9se3BmMgwx5OCwPQkYJ962q+1oVVXoRqJW5knZ7q6vqfjVSHs5uPZ2PJf28vEHxc8K/sZfE3xJ8Bxef8JfZeDL6bQW06HzLhJxETuiXu6jcVwCcgYBOBX4Af8Edvi9498C/tgR6fZ/G/U/B+ga/pl2fGOowa7FZLcJHDJJAZJZ8qW+0FMH73zsBwzV/SzXj37MnwY/Yg+GviTxrffsoeHPA9tqmoaxjx1/wit7DPJHeK8p8q4VHbyGVmlxFhQDuwoxXz2d5JXzPGUalOv7PlTXW/rHVa9HrsfrfBHiDguGeBs4yergfbSxSjadlaN/d99tPSPxU9/f7XufF/wAavCP7F/xi8H+LfHfxh+Kmk+PbvTvCckU/iHWvFFtqd5olorM8Ztdpxbt55UqVUNJIVQlgQtfeP7J+r/E7X/2X/h3rnxrguYvGF54J0ybxRHe2whmW/a1jM4kjAAR/MLZUAYORXzL/AMFI/wBn/wCCnxY+K1x4p+JPw00zWtQ8L/DSS60C4vY2P2Kbzrpt6qCFY7o0PzAj5RxX2rYktZQsxJJiXJP0ri4bwdTB5rjKc6jm48ibfW6bu9Xqttz5XO84pYvhzCYZczalKXvWtTS91Qp6t2lo56R1UUo+7dy18x/8FKPEuv6CPhNa3mt3Wm+DL34kRr4wu4SEgLJaTy6fFcyEjy4XvktxyQGcRqT8wB+nK8i/br8JeGvHv7LviHwV4x0aLUdK1W90q11GxnzsnhfU7VWQ4IOCCehBr6DOaTrZVXinb3XqvJX/AB2PDyDF0MFm9KrXhzQu01o2lJOPMr6c0b80b6cyR5f+w5408Ya/8Y/jrpvhnVZ9R8M6ZLoy6ZIIY2t4df8AsUqX9tFKv32SKLTTIhJ2O7KcHIH4lfsPeP8A9q3UP+CungrxlevrNx8S7/4oiPxatzabroLJM0WqJLGwwipbG5DDAEaocbdox+8f/BPD4YfD74OfDXxX8O/hb4Rs9D0Sw8at9k02xQiOMvpunux5JJJZmJJJJJryDwF8Bvg3o/7eSfHzTPh1p0XjPUvilq1pfeIgrG4lgFlers5Yqo2xoCVAJC8nk5+LqYSUsryx87+OK/8AAnf/AMltZH7Dwl4h5NwvWzyisEqkMRQVODaineEHC81quWpfnqJN+8kry+I+3qKKK/Rz8GCsL4oaOviH4ca7oEmmJepfaTPby2jg4mR4yrLxycqSOK3aKzrU/a0pQva6av6lQlyTUux5N+zB4Nk0qXXvG0wnVtW+y2wWRcKVt/OO5eM9ZmBPT5e2DXrNFFcuW4JZdgYYZSvyrfa+tzXE13ia8qjVrhX5PeOPjb4n8O/saan418TfF2/0b4rS/Esx6rcXN1bw6ha+If7aVHtPLkysUcduqqoxhbVEkB2/Of1hrztP2TP2bo/2gZP2qU+DeiD4hy2X2WTxX9m/0povKEXXO3d5YEe/G7Z8uccV52fZPWzeNJU6nJySv/wV5rp6vU+m4XzvKsojVWNo+0TcJxsou8qfN+7lfanU5vfau/dXuvp8t6F8Sfhj4r8V2Onx/tXv4yu47l30jSNQ8cWl7++Mbp5kcUeGaQRvIvfCu3HcfXPwI8HN4D+FemeHX84Nvubp1nADq1xcSXBUgAYwZSAOoA55rq1tbVGDJbRgjoQgqSoynIqmW4uWIq13UlJcuq6Xvu2zw8Xj44miqcYKKTvp/wAMgooor6I844H9o7RV1n4eoz6WtyLPUoboMQSYCm7Egx6Zxzxgmpv2d/B7eDPhlDZOJg97qF5fyJOMMpnneXGMDA+bjPOK7jr1orzY5clmzx3Nq4clvne9zpeJbwioW63v8rBRRRXpHMFFFFAHhPgr4btN+0OuqnSpLNdG1zUNVZYVIjeS4iuYyzFgchzcu/BGT04BFe7UUV5uV5cstozgpc3NJyu/M6cViXiZqVrWSX3BXxT8dPHdzpv7eHjey+L/AIubTdI0n4eaZP4Mg1O4S3shpztM+qXUbMQHcTRQLMx5RI4c7VILfa1ee/H79lH9nL9qa00ex/aF+EGjeLItAvTd6OmrQF/s0rABiuCMqwVdyHKttXIOBWOe5bVzXL3h6c+V3T8nbo/63sevw5mOX5djJ/XYt05xcW4pOcfejJSipNK/u8r1Xuylr0fwD+y18dfC/i/9mfw/F8U/22dSAu7K5t5dH1TxzYWgk00XE0dtFNbhQYw1oIQycNhjnBzX3B+yt4Whgn1v4g2zu0Or2dja2zKQYnigNw6uhA+YH7SRnJBwMdDn1tbCxRQiWcQCjAAjGAKlAAGAMAdhXnZfw5WweOhiauJlU5E0k13Vusn/AFYnNc5oZhVrOjQVKNSTlZbRTd0lZLbZeQUUUV9SeCed3/7Jn7N2p/tAW/7VGofBzRZviFa2f2W38VPbk3KReW0XrtLeWzJvI3bTtzgAV6AtraowZLaMEdCEFSUVEKdOnflSV3d26vu/M6cRjMXi1BV6kp8kVGPM2+WK2ir7RV3ZLRBRRRVnMeS/t5eIPi54V/Yy+JviT4Di8/4S+y8GX02gtp0PmXCTiIndEvd1G4rgE5AwCcCvwA/4I7fF7x74F/bAj0+z+N+p+D9A1/TLs+MdRg12KyW4SOGSSAySz5Ut9oKYP3vnYDhmr+lmvOvgp+yT+zX+zlrHiHX/AIHfBnRPDV54rvBdeIJ9NttpvJAzsM5JCqGkchFwo3HAFfNZ3keJzTF0qtKs6fImtL3V+qs1q9nqtD9a4K8Rsu4W4JzbJK+DVWeLSUZaWWlvfvraHx07J2nfa9z5i8Hy+AvjRdar4V8O/HSTxzquraZ9gubg+J7fUbq1tX3qAoiGEQNIzZK4yeT2r7ggiEMCQg5CIF59hSR28ER3RQop9VUCn105Nk08qlVlOq6kp2u2u1/N33PzPG41YtRShyqN9vP7gr5i/wCClHiXX9AHwmtb3W7rTfBl78SIk8YXcRCQFktJ5dPiuZCR5cL3yW45IDOI1J+YA/TtYfxK+GvgP4xeA9V+GHxP8K2mt+H9bs2tdV0q/j3RXETdVI6g5AIIwQQCCCAa78yws8dgalCMuVyVr/107+RvkmOw+XZpTr14c0FdNaN2lFxvG+nNG/NG+nMkfnZ4Z+PmjWv7UnxT8Jt+11e+GNA01NF8uwtPFllYQJq7W8qXqKXBaRlihsg4JOxyy8EED6G/Zh0Pwj8QPF+h+I/Bnjf/AISK00fWLnUbrW7bVIr37TdNBPE/nTJlS5+0EkDB4Havfvg/8DvhH8APh7YfCj4NeANO8PeHdM8z7DpVhDiOIu7SOfmyWLOzMSSSSa6mOOOJdsUaqPRRivmMHwpiKFSjOriXJU2pctna66K709bbHqZxnmBxWJqfU6HLBxUU3ZSajFR5pJXSlK3NJKTs3u926iiivtD5YKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACuQ+Pnx3+Ff7MXwb8Q/H342+KotE8K+FtOa91nUpUZ/KjBAAVVBZ3ZiqKiglmZQASa6+vk3/gt78Ffif8AHn/gmz448HfB7wleeIdc0/U9C16Lw7p0e+41SDTdYs76e2iT+ORobeTanVmCqOTQB7J+yX+158D/ANtf4UH4w/AbXb2602DVrnS9TstW0qawvtMv7dgs1rdW06rJBKuVJRgDh1PQivTq+Lv+CNvhbx/qEH7QX7S/iv4a+JPB+j/GP496j4m8G6B4u0iTT9RGmCxsrRLme1kw9u8sltI2xwG2hSeor7RoAKKKKAPG/wBsr9vH9nP9g3wvoHi39onX9TsrXxLrsWk6SulaHcXzvcSMqguIUYRRgugLuQuXUckgV7JXwx/wcI+LNStf+Cf9z8NfDXws8deK9a8T+L9BbTbHwR4LvdYeNbLV7K9neYWsbmFfJgkKs2AzAKOTX2V8MfiBpXxX+HOh/E3QtK1awsvEGlQahaWWvaVLY3sEcsYdUnt5gskEoBw0bgMpBBAIoA3aKKKACvAviV/wUv8A2TfhF+1ZoX7HPxC8U61p3izxFqNtpum3s3ha9/shtRuYTNb2Daj5X2YXUkYDLFv3YIzjNe+1+cf7d3xrv/jV/wAFXPhD+yj8U/gr8Urf4V/DDxJpPi5fEPh74ZanqVj4m8XSHZpsL3sELQ2ljZCczzyu3MmEbasbNQB+jlFFFABRRRQB4F+zt/wUs/ZV/ag+P3iL9mb4Y674hi8XeHNMfU3sfEPhG+0xNS09Lk2rXtlJcxIt3biYbPNjypJGMjmvfa/NX9g7SvFPxA/4LSfET9pP4Y/BT406B4K1j4UTWHxAu/jXo9zD9i8RDVxLBYaM90WK2giM7tHbMbbOwr2r9KqACiiigCO6uraxtZL29uEihhjLyyyMAqKBksSegA5zXlP7GP7bX7Pf7ffwhn+On7M3ii51nwzBr95o41C50+S2824tmVZCiyAFk+YFXHBBrE/4KX/D/wDaF+LH7DvxA+F37LmiQ6l4w8R6ZFptvp82uJphubKa5ijv4ku3Vlt5Gs2uVSQq21mU7SRivnr/AIN8vBXx7+G37P3xc8D/ABt/ZXf4UQQ/H/xRdeHtDbVDcp9nmustFATBF5ltCVWOK5UFLhAJFCjigD76ooooAK8a/bE/bp+Cv7EOm+F734u6R4v1O58Za1LpXhzSPBHhC71u+vLmO2kuXVbe0R5CFhikckDgKT2r2Wvh3/guR4I+Gnif4M+FfEXjnwT+0Bf6x4evNVvPAusfs+Wt2+o6Xrb6dLbwNO9n+/ijkEzoGH7s/MJCFOCAfZngHxlp3xE8DaN8QNI07UrO01zSre/trTWNOks7uGOaNZFSeCUCSGUBgGjcBlYEEAg1rV5J+wSn7Qkf7FHwpT9rBrg/EoeAtL/4Tc3hUz/2l9mTzvN2/L5u7O/HG/dXrdABRRRQB4j8bP8AgoZ+zF8Av2hvDP7LfjrxHrE/jPxPBBcx6doXhq81FNLtZ7j7NBdX8tvG6WMEk+Y1klKqWB5wM17dX48/8FEfgF+2R4L/AOCxuqfGr9n/AEr4wrrnxAHw7T4cav4HFz/wjPlWGovFrttr7R/uViSyeWVEn+U/aGKZfp+w1ABRRRQAV81/Av8A4Kqfs0fH79p5v2QfDnhb4k6H43Ok3up29l40+G2paPDdWdpKsU08Ut1EiyR73UBlyCWGDzX0pXx5+yb4C8c/FX/gqb+0T+1/8QfBmr6ZpfhnTdH+F3wzl1jTpbf7VY20f9o6pdQeYo8yGW9uURZUyr/ZTgnFAH2HRRRQB//Z", 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", "info": {"equation": "70-40=30", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "70-40=30", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "e13e5c42ef5aff9502e48b1e6e54b31aea2780469ae665e1c50df4d1ac2d5a55"} +{"episode": 51175, "episode_seed": 4088737648, "split": "train", "timestamp": "2025-10-28T03:47:44.972851", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4088737648, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 7, 0, 4])", "action": "('move', [2, 7, 0, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "82-67=15", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", "info": {"equation": "82-67=15", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "4a43ea751cdda727daf621e58b8a34518cb31f865f54e361a29b881e6a970e0a"} +{"episode": 51176, "episode_seed": 3377817200, "split": "train", "timestamp": "2025-10-28T03:47:45.042390", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3377817200, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [7, 6, 4, 4])", "action": "('move', [7, 6, 4, 4])", "reward": 0.0, "image": 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", 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vpWb3PmX9gPwx4R+HP7bnjnwP8AdAsdN8HT/DvT73xhp2hWMKafaa4LpksyDGMRzyWXml4xjKRwuQCwZ/tyvmH/gnd8EvhL8Atf8AHfgb4M+AbDw7pLwaTcvZaerbXmY3gaRixLMxCqMknhQBwK+nq9bhWHJkVHW97v8AF6H5/wAXZhSzHO5VKfM1GMY80rc8+WKXNKzau+13ZJLmdrsr+Xnxt8Wf2nLD/gphqHxN8ceKdW0j4lwfEp477ULkpBcWMnn/AGcqPM+SJEh+Rc/IsYGPlANf1DV54n7J37N8f7QEn7VKfBzRR8Q5bL7JJ4r+zn7U0XliLGc7d3lgR78btny5xxVZ9k9bN40lTqcnJK//AAVbqunq9T7Hwu8RMv4AWY/WsGq/1mi4R20evuyv/wAu539+137sdGfHniE/s2fHXWNM8N/Ej9oOy+JcdnfNcaP4a8TeNLPUrY3PluomFquFmkWNpACyttDMQAeR7R/wSaJtv2btc0Dw40j+CNI+I2tWXw0mMa+U+iJKhUQOufOt0uWu44pCTujjXlhhjr/8FFPg58LvjT8OvB3w/wDir4Istb0W68dJJPp90GCOyaZqDIcoVYYYA8Guv/Yg8P6H4T/Zm0Dwt4Y0mCw03TbzVLWwsbWMJHbwx6ldIkagdAFAA+leNlGX1sDxJOFSs6jVO931u0rPV7HzuJzmjU4ReFXNeVRWi7ckFFN80db88m2n7sUlfWTl7vrFeHf8FKvE3xi8G/sG/FPxP8Anvk8WWXhOeTTJdMi33MK5UTSRDrvWEysCPmBUEcgV7jQQGBVgCCOQa+zr03Woypp2umrrdXW/yPl8rxkcuzOhi5U1UVOcZOMtpcsk+V+TtZ+TP5pf+CN/j74maR+2X4f8BeHfE95D4c1+9M/ijTUnHk3ht7e4a2d1b7zJK+VK/MNzfw7q/ZP9mb4g6p/wl2t+CPCPxDe91C08cXs1z4dTU0kNiklwQA0K/NFG4y/zcEszA+nVfE/9lH9nL9mHwLE3wA+D+jeFD4j+IOn3etnSbcp9qlAm2k5Jwq732oMKu5sAZNej/sdRoPhReSBBuPi7Wctjk/6dNX5thOHcTRzeOEddpqHNeN9uf4VqvX16H6t4mcfZfxxnU84wuF9nBqMLStzNxj8UrXV9eVa/DGOvQ9Wooor9OPxs/NL/AIOevFPxl0T9jrwrofgeW/i8J6v4t8nxtJZx/u3CR+ZaRTMORGZVZgD8peNM8hQfmP8A4IjfHfxFp/wG8SeCviH+1hqvhHQdF1qJPCmlDxha2Ea+askt15aTAsV3tGxx8oZ2xyWr9Z/29PBPhT4kfsyat4C8daDDqmjatreiW+pafc58u4ibVrTKttIOPoQaxP8Agnx8M/h/8LPhR4g+H/w78IWOj6LpnjGeOw06zixHCptLRjjOSSWZiSSSSSSa+FzTLK+M4m5KdeVNyp3uulna260e/qfsuE8QcuoeED4alglKp7fm59LWvzc21/af8u9rez69Dmv2WNB8K+N/GGg+LfBni7+3rDRb+9v5NatdSjvFurqWG4ilaWZMqzs1zIxAwdw6AAivqKkSOOJdsaBR6KMUtfSZPlf9k4V0XNzbk5NtW1dvN9u5+S4zFfW6qny2srWCvwV/4Ob/ABR8ZL/9tvRPCXjCW/XwdYeEYJvB0Eke21eSVj9skQjh5DIiKxPICRjgYz+9VeRftafCH9ir4r6d4ai/bN0PwVd21jrWfCx8ZX8Vsv21wP3UJkdPMZwozFyG2jKnAxGfZdPM8udCM+V3Tu9tOj/rex9/4TcY4bgbjKnmdfDOvHlnHlik5rmXxQv10s9vdcj4C/Y++MGhfEj9iPwdoX7Rf7ZV/Fcan4Xaz13w7d/EKzs42st0kUdvJGm140a2EakbgxDHJBJr3r9hPQPB/wAN/wBt/W/h3+ztpdnp3gy4+F8WoeNdH8PW8Q0y11UXUEelzHZxFczWf2vIGDJHBE7Z4Y/U/wC0bpemy/s7ePLWTT4TG3grVEZPLGCv2SUY+mK8Q/4Jx/Av4P8AwA8T+NvCXwX+H2n+HNOutG0O7ubXT1bEs7SakpkZnLMx2qo5PAHFfM0soxGX8QYWNTESqXUnrfRJbbvRmdXijDYzA5nWjTdNV5NqlG3slzyvd6rWnpyJR3SfMlGz+qKKKK+/Pzk8f1T4N/sSXn7Xtl8U9X8PeCG+NSaPmxnmvoRrJsxG8Xmrbl9zKI/MTzdhIUFd2BgeuLa2qMGS2jBHQhBX8xf7SPxj/ap0H/gqF4p+J3iDxfrWjfEnTviLPBa37yLbz2SLKYII03fIkQtyiKD8hjPOVJJ/ZzwT8dPCZ8TR2Gg/tnXXiG7vA1vb6TcePbO685m/uRxgOX442nPWvhYcZYOhKrGVBp8z2tr5y2s++5+0eIvhpmHC1DLJ1cesQq1FNXbfJaz5Yav9373uPS/vaI+3KKxfh5c63eeCdNuvEQf7Y9uDMZBhjycFgehIwT71tV9rQqqvQjUStzJOz3V1fU/GqkPZzcezsFFFFakH86v/AAcE+LPjVqn/AAU08SaX8Q7jUU07R7DT4/AkM0ZSNNPaBHLwAcMGuTcZfkllKn7oA/er9lDV/ih4g/Zh+Hmu/G22uIfGN54K0ybxTFd24hlXUGtYzOHQcI3mFsqOhyK+Z/8AgpN8Bfg18XfivP4r+J3w507XNQ8LfDSS68P3N+jMbKbzrpt6qGCsd0aHDAj5Rx1r7TsSWsoWY5JiXJP0r5LJMO6We468m9Y/+TXf4bLyP17jvjvA8TcE5JldHCKlPCwcZS01aUY+7bW0rc87/a72u5a/Or/g5h8T/GLQP2D9M074ey38Xh7VfGFvbeN5bKPKm08t3hSZhysbXCxexYIpPIB/RWvIv26/CXhvx5+y74h8FeMdHi1DStVvNKtdRsZ87J4X1O1V0OCDggkcEGvbzmk62VV4J291/gr/AI7HxXBGeUeG+LsFmdakqsaVSMnF9VfpfTmW8f7yR+P3/BDP4za14e+Fvjbwb4y/acv/AAV4ds9YtZ9BsIfFNppyS3Mscn2pwJQWc7Y7bJ+6O3JNfU+reDPgb4Y+JHw1+L37Od9pusfEvU/jFY/Y/FOmXsOp6prQuZ0TWluJwWMsS6c9w8n8MCohUR55+tf+Cenwp+G/wh+G3iv4e/DLwXYaLomn+NW+x6dZxYSPfpunuxyxJJLMxJJJya8i8AfAP4M6J+3hH8etJ+HGmweMtR+KWrWl74hVGNxJALK9XZy21RtjQEqASF5PJz+ewyqvTw2BryryanOCUdbRvrpq9vRH6HnPHWBzfjTM81p0ZUYTUmoRtapaKio1dUuWesqlue7bSWvMvt+iiiv1Q/EwrC+KGjr4h+HGu6BJpiXqX2kz28to4OJkeMqy8cnKkjit2is61P2tKUL2umr+pUJck1LseTfsweDZNKl17xtMJ1bVvstsFkXClbfzjuXjPWZgT0+Xtg16zRRXLluCWXYGGGUr8q32vrc1xNd4mvKo1a4UUUV3GB5x+0xo/wDanhHTrttLW4Gn6sLlJcEtbuYZYt4x6rK6knj562PgR4ObwH8K9M8Ov5wbfc3TrOAHVri4kuCpAAxgykAdQBzzXX0V5tPLlDNZ43mbcoqNu1nf+vmdMsS5YVULbO9wooor0jmOB/aO0VdZ+HqM+lrciz1KG6DEEmApuxIMemcc8YJqb9nfwe3gz4ZQ2TiYPe6heX8iTjDKZ53lxjAwPm4zziu469aK82OXJZs8dzauHJb53vc6XiW8IqFut7/KwUUUV6RzHy5/wUb8T+ItD8afBjTNR1q60/wTf+NrkeI7iMqlvLfx2byaXBcyEjZG1wCyjIDzRwrySqt83+Afj9oS/tEfFvw6/wC2De+HNA03VtLTT7G18X2NjAuoGyAv0j3gtJtKW4YknbIXTgqwH6J/FT4VfDr43/D7VPhV8WfCFlr3h3WoBDqek6hHuiuEDBhnGCCGVWBBBBUEEEA1D8Kfg38Lfgd8PtN+FXwl8DafoPh7R4mj03SrCHEUCs7O2M5JJZmYkkkliSSTXyeZcO4vHZo8VTxDppxS0vdeS1Wj3336H2eH4gyijw6sLPD81dLkvaPLy+09p7S/xe0/5d2tbk+19k8s/ZU+IepeOtQt7jw/8R5PFmjR2TQz6t/aiXiO0fAJlj+QybuDjBPORxx7zSJHHEu2NAo9FGKWvayrAVMtwvsp1XUd27vz+b/Pc+VxeIjiavPGKjpayCvwW/4ObvFPxlvv23NE8J+L5r9PB1h4Rgn8GwPHttWkkY/a5UI4eTzERWJ+YBIxwMZ/emvPvj7+yn+zp+1LaaPY/tCfCHR/FkWgXxu9HTVoC32aUgBiuCMqwVdynKttXIOBWOe5bVzXL3h6c+V3T8nbo/63SPvvCvjbA8AcX082xdD20FGcbK3NHmXxRvpfo9V7rkfnn+xp+0Cvj/8AZB8GXX7RH7bWpf2zqWgtHruj6p8QLKESQGSREiliPzgNbiMMGO4hiSck192/sreFoYJ9b+INs7tDq9nY2tsykGJ4oDcOroQPmB+0kZyQcDHQ59bWxsUUIlnEABgARjAFSgADAGAOwrzsv4crYPHQxNXEyqciaSa7q3WT/qx81nWe0s2xWIq08PGkqs5T5Y7RvJy5VotFsvIKKKK+pPnTzu//AGTP2btT/aAt/wBqjUPg5os3xCtbP7Lb+KntyblIvLaL12lvLZk3kbtp25wAK9AW1tUYMltGCOhCCpKKiFOnTvypK7u7dX3fmdOIxmLxagq9SU+SKjHmbfLFbRV9oq7slogoooqzmCiiigDwz9qT4d/8Jv4nTTF0mQNrmhNpLX1spMhR2kymTlRt8xmHHck5Ar3GCIQwJCDkIgXn2FOorzcHl0cJjK+I5ruq07drK3zOmtiXWo06drct/ncK+Yv+ClHiXX9AHwmtb3W7rTfBl78SIk8YXcRCQFktJ5dPiuZCR5cL3yW45IDOI1J+YA/TtYfxK+GvgP4xeA9V+GHxP8K2mt+H9bs2tdV0q/j3RXETdVI6g5AIIwQQCCCAa1zLCzx2BqUIy5XJWv8A107+R2ZJjsPl2aU69eHNBXTWjdpRcbxvpzRvzRvpzJH52eGfj5o1r+1J8U/CbftdXvhjQNNTRfLsLTxZZWECau1vKl6ilwWkZYobIOCTscsvBBA+hv2YdD8I/EDxfofiPwZ43/4SK00fWLnUbrW7bVIr37TdNBPE/nTJlS5+0EkDB4Havfvg/wDA74R/AD4e2Hwo+DXgDTvD3h3TPM+w6VYQ4jiLu0jn5slizszEkkkmupjjjiXbFGqj0UYr5jB8KYihUozq4lyVNqXLZ2uuiu9PW2x6mcZ5gcVian1OhywcVFN2UmoxUeaSV0pStzSSk7N7vduooor7Q+WCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArkPj58d/hX+zF8G/EPx9+NviqLRPCvhbTmvdZ1KVGfyowQAFVQWd2YqiooJZmUAEmuvr5N/4Le/BX4n/Hn/AIJs+OPB3we8JXniHXNP1PQtei8O6dHvuNUg03WLO+ntok/jkaG3k2p1Zgqjk0Aeyfsl/tefA/8AbX+FB+MPwG129utNg1a50vU7LVtKmsL7TL+3YLNa3VtOqyQSrlSUYA4dT0Ir06vi7/gjb4W8f6hB+0F+0v4r+GviTwfo/wAY/j3qPibwboHi7SJNP1EaYLGytEuZ7WTD27yyW0jbHAbaFJ6ivtGgAooooA8b/bK/bx/Zz/YN8L6B4t/aJ1/U7K18S67FpOkrpWh3F873EjKoLiFGEUYLoC7kLl1HJIFeyV8Mf8HCPizUrX/gn/c/DXw18LPHXivWvE/i/QW02x8EeC73WHjWy1eyvZ3mFrG5hXyYJCrNgMwCjk19lfDH4gaV8V/hzofxN0LStWsLLxBpUGoWllr2lS2N7BHLGHVJ7eYLJBKAcNG4DKQQQCKAN2iiigArwL4lf8FL/wBk34RftWaF+xz8QvFOtad4s8Rajbabpt7N4Wvf7IbUbmEzW9g2o+V9mF1JGAyxb92CM4zXvtfnH+3d8a7/AONX/BVz4Q/so/FP4K/FK3+Ffww8SaT4uXxD4e+GWp6lY+JvF0h2abC97BC0NpY2QnM88rtzJhG2rGzUAfo5RRRQAUUUUAeBfs7f8FLP2Vf2oPj94i/Zm+GOu+IYvF3hzTH1N7HxD4RvtMTUtPS5Nq17ZSXMSLd24mGzzY8qSRjI5r32vzV/YO0rxT8QP+C0nxE/aT+GPwU+NOgeCtY+FE1h8QLv416Pcw/YvEQ1cSwWGjPdFitoIjO7R2zG2zsK9q/SqgAooooAjurq2sbWS9vbhIoYYy8ssjAKigZLEnoAOc15T+xj+21+z3+338IZ/jp+zN4oudZ8Mwa/eaONQudPktvNuLZlWQosgBZPmBVxwQaxP+Cl/wAP/wBoX4sfsO/ED4XfsuaJDqXjDxHpkWm2+nza4mmG5sprmKO/iS7dWW3kaza5VJCrbWZTtJGK+ev+DfLwV8e/ht+z98XPA/xt/ZXf4UQQ/H/xRdeHtDbVDcp9nmustFATBF5ltCVWOK5UFLhAJFCjigD76ooooAK8a/bE/bp+Cv7EOm+F734u6R4v1O58Za1LpXhzSPBHhC71u+vLmO2kuXVbe0R5CFhikckDgKT2r2Wvh3/guR4I+Gnif4M+FfEXjnwT+0Bf6x4evNVvPAusfs+Wt2+o6Xrb6dLbwNO9n+/ijkEzoGH7s/MJCFOCAfZngHxlp3xE8DaN8QNI07UrO01zSre/trTWNOks7uGOaNZFSeCUCSGUBgGjcBlYEEAg1rV5J+wSn7Qkf7FHwpT9rBrg/EoeAtL/AOE3N4VM/wDaX2ZPO83b8vm7s78cb91et0AFFFFAHiPxs/4KGfsxfAL9obwz+y3468R6xP4z8TwQXMenaF4avNRTS7We4+zQXV/LbxuljBJPmNZJSqlgecDNe3V+PP8AwUR+AX7ZHgv/AILG6p8av2f9K+MK658QB8O0+HGr+Bxc/wDCM+VYai8Wu22vtH+5WJLJ5ZUSf5T9oYpl+n7DUAFFFFABXzX8C/8Agqp+zR8fv2nm/ZB8OeFviTofjc6Te6nb2XjT4balo8N1Z2kqxTTxS3USLJHvdQGXIJYYPNfSlfHn7JvgLxz8Vf8Agqb+0T+1/wDEHwZq+maX4Z03R/hd8M5dY06W3+1WNtH/AGjql1B5ijzIZb25RFlTKv8AZTgnFAH2HRRRQB//2Q==", 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", "info": {"equation": "44+26=70", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", "info": {"equation": "44+26=70", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "8c8c4900220ba1648de0ba2a941105fc7c0aa884e042e06c0e4cdd08fb000a08"} +{"episode": 51177, "episode_seed": 3479800840, "split": "train", "timestamp": "2025-10-28T03:47:45.134898", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3479800840, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [11, 4, 2, 7])", "action": "('move', [11, 4, 2, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "19+13*10=149", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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w1B3ubvxLaeJBPbj93pELKLDd/cjHlWARh1BTsxr9mq+bfhn8Lvh5ov8AwUJ8ZfFrSvCNpB4l1uwns9W1pFPnXNvDbaX5UbEnAVeOgGcDOcCsc5pOeIwklJq1Vfk3+lvmzr4L4ow3D+WZvhqtBVHisNKlF6e43KOuvT7WmvNGPqvpKvxO/wCC/wB4/wDjP4Y/4KpfCG70vxFf6VY6Lo2l3XhC/jZI47a5fUZBczRu/wAgcFIdxbgBEzxiv2xrz/4m/Dv9mzxR8X/AXi34saT4an8baLc3zfDqXVrmNL1ZXhH2r7KjMDKRGqswAbaAG4xmujOsBPMsF7GE+R3i7+j/AKt52F4ccVYfg/iGWPrYb26dKtDlsn8UGr69Ok+0HLfZ/FuoR/B3xT8XfBnxZ8GfFOHx18QLD4geHrDRtel1+21bULW1e9ZZ7WMp/qoWs5tRdwAMqJHJPlgr+iVfNXxt+FHw21b9u/wJ8VtS8GWM3iPQ9OsbbSNYeM+baRTS6iJVTnA3DgnGcE4Iya+la4OHMJUwbxNOdRzana76+7F33ff8Dxc8zGnjcHhIRu+SDvfpeTtCOr9yKV1t70pe6t3+Tf8AwdReJfiXpHw8+Dum6FeXsHhuTxBqV1qEluCsY1GGKD7IWYdHEb3RUf7x7V7V+wN8SvGupaN8PJdd8fzzeKPEXw90S+1Swkv4/M1KYyztcXLRry+GkO51+UeZz1FfZ3xg+Bfwh+P+gWPhb4z/AA/07xHp2m6xb6rY2mpRb0hvICTFMBkfMu5h6EMQQQSK83/ZECt4v8YSMo3eXb84/wCn3Uq83NMmr1s/p1VWcVUelr3XLHXqt7fiz6nFcZYPGcAYHJI4ZKeElVcp6e/7Waa89NpX/ljby90ooor7c/Mz82f+Dn7WviDp37DvhjS/DT3S6FqHj+3j8SmBMoyLbTyQJIey+aoYDoWRe4FfWf8AwTK1Lxzq/wDwT6+DuofEiOddXk8AacJvtMIjkMQhAhZgO5hEZ9TnJ5NXP28vht4E+L3wG/4V38TPDFtrOh6j4g09b7Tbst5cwSYSKDtIPDKp4Pau8+A9tb2fwO8GWlpAkUUXhTTkijjXCootowAB2AFeDQpOPEdafM9acdPm1+n4s++x/FGGxXhxgsijQSqUa9Wo6mmqlGNl3vraXlCG/Tzb/gpvrfxD8O/8E+/i/rXwre6TXLfwLfNbS2Sbpo4zHiZ07grCZGyORjI5Ar8q/wDgjh478P8AiX9kDxD8Ivjf+0PcaZ4ZPiWaysfBt54vgsrS9s5oke4iaFiJHikkdwwBAbew7tX7hahaWN/YT2OqW8UttNC0dzFOoKPGQQysDwQRkEHtXh958Kf2YtA/YR1/4cfs8eHvDUnw6uPCuqQWFt4duUubGeKbzvtAWVGbfudpQxDE5yMjHHLn2T18fXVaFZw5YSTS3fXutH1+R2cP8Y4bLOCMTkssM3OriKVRVVb3OVNb78yt7mq0c9V1o/8ABN3TtM0H4QeKfC3hGxitvC2lfEfVrfwpbWtukdtDbZikuI4NnBjW+e9Qf3SrL0UAfQleTfsTeBvCHwz/AGe9O+H/AIA8PW+k6LpGqalb6bptopEdvEL2YhRkk9STkkkkkkkmvWa9bJo8uU4dXv7kfyR8Zn2Khjc5r1oXs5PV7vpzS396W8tX7zerPn/9vnxHB4M8Av4m05JX1YafNBZRW6I0kkkjLHCFDOgLebIMAsAeeRXsnwysPC+lfDfw/pvggodGg0W1j0logNpthEojIxxgpg8V4f8AEzTX+O37QFvodosj2PhvTrrVN3AVp4F8m3Q/Kchpp5JByD+4B9q9C/ZON9ZfBmy8LX7Bv7Eup7G0YOpzaLIWtxhVXbthaOPGOsZ5PU+JlGIhPPMRNJJVfhff2fuv8dQxlOUcDTjfWG67c2q/yPSqKKK+tPIPxm/4Id+K/j7rX/BYj47S+P01Bpr6z1l/G32u2A8q7j1SNYFf/nmVzKqqONoIAwOP2Zr5q/Zo+F3w88IftifEf4geGfCNnZa34ne/fxBqcKnzb4w3saRbySR8qkgAYHJ719K14PDtJ0cBKLk3789/KTX6XPvvEjifDcXcRRx1CgqMVRow5VbeNNJvTpfSP91R22XxR8ePHXirTP2vte02PxHeR62nxA8D2nhTTiiEyaZI1u03kxty8bFtXMjgZAhkOR5fHx5rniz4+S/8HQ1nE41F3g1SOwtYWtgUTQDpBZ9oPAi2tI5Yfxkn73FfoN8efhb8O9e/bn8A/FbWfB9nc+I9BsrG30bWJVJls4pp75ZVTnA3DgnGcE4IyaXXPhb8PJ/+CjulfGSfwjaP4pg02PSoNbYMZo7M6ffSGEc7QpfnOM9s44rwquFl9Ym+d/7zB/ek/wBbfJH0XD3GmU5Hh6yWF53WwNSi21HSclCCa7x/d8z2lzTkul39J15/8dvh5+zb49vvBs37Q2k+G7m40rxfa3fgc+IbmOJl1pQxgFsHZfMmOGIjG7dtztO3j0Cvxz/4OhvHHxi8K/Fn4JP4Z1bUbDSNPhvdT0a6tfkVNZinhxIHH/LWNPKK5+7vJH3jX0+c42GX5fOvKHOlbT1aR8z4b8MV+L+L6GV0cT9XlNTfOr3XLCUrKzT1tZ67Nn7Ex28ER3RQopPUqoFPr5E/ZM+Lz+K/E+kaPof7SV1411GaK1n1bT5vFVtqDWwCYlbZAPkXLsCTxkL6V9d1OUZvRzilKpTi4qLtr6X6HyWNwU8DUUJSTfkFflP/AMHU2tfEC0+BPwq0PSpLpfDF54pv5Nb8tP3LXkdvH9kDt67HvCq98Mf4RX6sV4B/wUZ+Fnw7+MHwW0rwf8UPCFnrmljxL9qFjfKTH50VhevG5AIztYZweD3BFZ8RQ9pkldXt7t/uaf42sfU+HHEOH4V42wWa16XtIUpO8dLu8ZRur6XjfmXmkd9+yXqPjjV/2WPhtqvxNjmTxHc+A9Il15LmERyC8aziMwZRwrby2R2NeM/8Frta+IWgf8EwPizf/DSS6S/fRIILx7NNziwlu4Y7z6L9mabceyljX0p4JJbwZpDHqdLt8/8Aftak8U+GPD3jfwzqPgzxbpEGoaVq1jLZ6lYXKbo7m3lQpJG47qysQR6Gu+th5VsBKgpWbi439Va55GV5zSy/imhm06KcadaNV0+jUZqfIvKysfjP/wAElPFPg3x7+w5YfCP46fHbOkDxVc22mfD/AFPxRbQ2d5a+dFOkb2hw8yPdNKSpOHPykFeD+mP/AATigtrD9l2z0bQolTQNP8S63aeFBHGqxjS49TuEtli28NEqjbG3dFU5Ocm18eP2fvgt4W/Y01H9n7w/8N9NtfBkNha6bH4ehjKwC1a7iDRZB3YO5snO4kk5zzXSfsieG9A8G/s6eGfCPhXSYbDTNLgntNPsbZcR28EdxKiRqPQKAPwr5jJcqr5XnChUrOb9l8l7yVldvRW029D6jjHizCcSrG4mjTdONfEuooacsVaXvOz/AIkuZc1lbTd3Vtj9obUvG+j/AAB8c6v8M0mbxJa+D9Tm8PrbRB5DfLayNAEU/ebzAmB3Nfh5/wAERPiYbfwT8UfB3xL/AGjb/wAJaBfXtpP9j/4S2DTRqFzPHNHdMzSYkdjHHCCVIxxyCc1++deT/Db4a/sz/D74N+LtI/Zo0Pwxb6Nc32q3Orx+Gp45oTqjKRc+YUZgsoZQrJkbdoXAAAr0M7yetmdenOnWdPlUtt9bbar5kcNcYYbJeDMyyieF55YmdCSqae57OTlq97/y27yPNf8Agmt4d8IeCrj4m+CvhJpFlY+CbHxHYPpVppMEa2cN7JpsBukhZOG+UWzsOzyN3Jr6irwL/gnP8Lvh58HPgbfeA/hd4StNE0e38QebDYWYbYryWNm7tliSSWYkkk9fTFe+108PR5ckoK9/dX46/gfMcS4yGOzutWg21dK8vilyxUeaWr96VuaWr1b1e7K8x8L+Dyv7SOteKDYvB5Vi5LIDsmMy267iT3xABx/dNenUV24rCLFTpScrckub10at+J5FKs6UZq3xK34p/oFfij/wX3+JHxv8Hf8ABVX4RX+heKdS0Wz0bQ9Nn8I6jbyrCltPLfypdyxu3yhiFiVy3G1VDfL1/a6uS8bfAf4O/Ej4heFvit46+Hmm6p4i8Ey3EvhXVruHdLprzoElMfOPmVV6g4IBGCM1zZzl9TM8F7GnPld07+j/AKa80j7Xw74twnBfEEswxOH9tF0qsOXTecGk9el/dl/dcrJ7P54/ZuvfBvxQ+KlrdeGvjdL44uNNvIri7vn8SQajLbRRrKYo2aIYjjLO5AIBJY4NfWlNjhhhz5UKrnrtUCnUsoyyeV0JQnUdRylzNvfZLu+3c+PxmJWKmmo8qStb+rBXmP7P3hA6D4j8WaubF7YXF6lsIACEXy5LiQlc8nJnPf0r06iuqvhFWxdKvzW9nzad+ZW/AyhW5KU6dvit+DuFFFFdhicP+0Lpjan8OJFXT/tBgvYJlG0koVbhgB3BP6mui8A6EPC/gTRfDQZyNO0i2tcyY3Hy4lTnHfitaiuOGDUMfPE83xRUbdrNv8bmzrXoKlbZt/fb/I8L/wCCm+t/EPw7/wAE+/i/rXwre6TXLfwLfNbS2Sbpo4zHiZ07grCZGyORjI5Ar8uP+CKHxbgi/Zc1fwN8Tf2lrrQdIs/FckGjeF7nxZbWdtcW8sUckyeTJ87o8rtnBAJZgOc1+219ZWepWU2najaxz29xE0c8EqBkkRhhlYHgggkEVzPwe+B3wk/Z/wDh5YfCj4NeAdP8P+HdLMpsNKsYiI4jJI0rkbiSSzuzEkk5NePnGR4jNMXCrTrumlFp2vfV+q0fXXoj7vKOM8FlnAeLyGeGU6latTqqbtooxaa6u6duXylPVdYPgJ4ffw78MrO3kEga5uLi7YSjBBmmeT06fNx7V2VFFe5haCwuFhRTvypK/orHwVap7WrKfdt/eYPgzwBp3gubU5bO4aUaleGZlZQPLXnCD1xk8+9L4B8CWHgHS59Msbl5hPdvMXdQCAcALx6AAZ78/St2iopYDB0XBwglyX5fLm1f3lSxFafNzPe1/O2wUUUV1mJ5h8MPBv2H43+KfE32F7cL5sSqoIRzNKspfnkk7AeDj5j7V6fRRXHgcGsFQdNSvrJ3/wAUm/wubV6zrz5rW0S+5WPgH9t/4qal4M+M/j+bWviteeGtRtvFngu08MXP22G2eDTZTbl3gaXjY0j6sHkI48p+f3fHrP7J9x4T+IXxLt/Enhj4uyeNH0q4lnvtWbXodRdGNtJCkUkkXCqFlYqvBzzzXu/iD4DfB3xV8W9D+PHiP4d6beeMPDdhcWWheIJ4c3FnbzAiWNDnGGBYcg43NjG456yOGKEERRKueu1cV4EeG67zN4qWIfL7Tn5dbPZq+tr9NnokfR5jnmAxGAo0aFG0lBRlJ2WvLGGlt42jza2fNOWml26uS+KfwH+D3xtufDt58WPh7p2vS+E9eh1rw4+oRbjYX8WfLnTBHIz0OQSASDgY62ivqZwhOPLJXXmfOUMRXwtVVaM3GS2abTV1Z6rXVaegyO3giO6KFFJ6lVAp9FFUYhXnX7TXh5/EngGCwjsGmP8AaKhWRSXiZ4pIty47kSFef71ei0VyY/CLHYOeHcrcytc2w9b2FeNS17MraLp66Ro1ppKMSLW1jiBY8kKoHOPpVmiiupKysYnL/GfThqvwx1azNiLgeSj+UQT9yRX3cd127vwpfgz4ePhb4Y6To7eZuEDTMJR8wMsjSkHgdC+K6eiuT6mv7Q+tc32eW3zvc29s/q/srdb3+Vjj/wBobUvG+j/AHxzq/wAM0mbxJa+D9Tm8PrbRB5DfLayNAEU/ebzAmB3NfiJ/wQ6+MOp6Z4P+I/hP4iftMal4S0FtTtLy1sH8WW9hHeXk6SrdORN80jFIoAxHt3NfvXXIfCL4BfBn4CaDfeF/g58ONL8PafqWsXGqX1pp0G1JrycgyzEHPLbVHoAoAAAArys5ybEZpiKVSlWdPlTWl7622s189T7rh7jLBZLwZmWS1cMqk8VKjKM9Pd9nJt3vd+Ubd5XMf9l/Q7XSvhzJqVi+6DVtQN3blWBQx+TDEhQjqpWIEHnOc5xivR6AABgDAHQUV62BwqwODp4dO/Kkr97Hwler7etKpa13cKKKK6zIKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK8q+E/7aP7PXxs/aC8ffsw/DvxjNeeL/AIam3Hiezk06aKJfNHPkTOojufLb93L5Zby3IVsE4r1WvgD9gL4T/F3w1/wU++L954s+FHiHSNI8M/8ACWAeJNS01orDW/8AhIPEUOr2X2OY/Lc+XbRMsu3PlOQhwTQB9/0UUUAedp+1J8IJP2qD+xrHql83jlfBDeLHtBpc32VdNF0lrn7SV8oyeY6/ugxYKQxABGfRK+UfiD8SI7H/AILK/Dbwcfh142mif4IeIrGTxLa+DbyXRLe5ub/T7qGGbUFQ28TmLTLr5WYEMYV6ypn6uoAK8s+Ov7ZXwI/Zv+J3gD4SfFjW9RstV+JWs/2X4bmt9EuZ7RblnjjjW5uI0MVr5ksscUZlZd7uFXPOPU6+Pv8Agpb8SbyT9oH9nD9nTWPhv43v/CXiP4n23iDxT4g8K+C73VYLWTSp7eTTbO5kt42Wzjl1Ca2meaUqqw2U2TzkAH2DRRRQB5l+1r+1z8Gv2J/hFL8b/jvd6xB4fgvUt7ibRNAudRlhyru0rx26OyQxxxySSSkBURGJIr0iwvrPVLGHU9PuFmt7iJZYJUOVdGGVYexBBr5R/wCC2dufEH/BPPxr8N7T4f8AxM8Ran4stW0rw7afC2wmuLtdVaKSSx+1rCc/YHuIoop94MRSUrINjEj6g8FRa3B4N0mDxNBDFqSaZAuoR2ygRpOI18wIBwFDZxjjFAGnWb4y8XeHvAHhDVfHni3Uks9K0TTZ7/U7uT7sFvDG0kkh9lRWP4VpV4t/wUQ8CfGP4n/sbeNvh78BvBFt4m8R6xa2tsnhy811NMj1Wza8g+22pu3R1g8y0+0JvKtjd0PSgDvPgJ8bfAP7SfwU8KftA/Cu+nufDXjPQLXWdCuLq1aCSS0uI1kiZo2+ZCVYZU8iutr51/4JI6V8R9B/4Jo/BPQPi38OJ/CPiDT/AABZWt/4dunYy2YiUpGHDIjI7RqjtGVBjLlDkrk/RVAFXXNYsfD2i3mv6pIUtrG1kuLh1XJWNFLMcd+Aa4D9lH9qX4dftj/Byy+Ofwq0HxVYaHqMzJYr4v8AC11pFzOgVWWZIblFdoXV1ZJQCrg5BNdn49toL3wLrVnc6dd3kcuk3KSWmnqpnnUxMCkYbguw4XPGSM18rf8ABFPQfFvhf9lPXfDdxpnxPsfBOn/ETULb4S2PxijuE8QW3huOC1SOK4S5/eoi3S3oiV8YiEYX5dtAH1/RRRQB5t8FP2svgv8AtB/EPx58M/hbq2o3t/8ADjWhpXiO5m0a4gtGususiW1xIgjuvLkilikMTN5ckbI2DXpNfn3/AMEbvhT+0R8G/wBpT9o3wX8RLT4g2/hdPGV5dwJ4w87+y5dVuvEGu3Zm0XzPl+yvps+lPIYvlMzNn599foJQAV45pv7cfwa1H9se6/YZfQ/GNp41t9Fl1W3utQ8G3kGkX9tFHbSSta37oILkx/a4FcRs212KnDAivY6+e9D8K+J/Gn/BUbxB8RtT0DUIdC8BfBWw0TQ7+6s3S3ub7VtTnur4QSMNshSLTNOD7SdvmKDjIoA+hKKKKAPIPi5+3P8As5/A/wDaR8Cfso/EPxPfW3jH4iKx8PW9vo1xNbJ8zJF9puEQx23nSI8cXmMPMdGVeRXr9fnp/wAFAPhf8VPE3/BYb9nDxx4b+E3i3VbLTI7T+zNb0fSnl0W3C3l02r/2vKo8tTFZtbyWfmn5Z3kMXzk1+hdABXlX7U37aX7PX7Gdl4W1D4/+L59Ki8Y+JodD0U22mzXRM7gs0soiVjDbxqN0k74SMEFiMivVa+Bf+C/X7PXj74+fBDwPo/wdbxqvjG88S3Hh3SR4U8IDVra4t9VtzbXMGoOXX+zrZkUOb45EXk4xmRaAPvqikUFVCkk4HU96WgDzz4vftRfCL4H/ABP+Hfwe8f6nfQ678UtbudK8IwWumSzRy3EFu1xJ5siKUgUIvBcjcSAM84z/ANlH9sz9n79tXwnrfjX9nrxdNq2n+H/EU2i6jJc6dNasLiNEkWRFlVS8MkUkcsUqgpIjqykivH/+Cnfjw+GfiH+zdoUPgHxtrDXPxviu7m98J+DrzVIdMt10u/sjPdSW6Mtsgm1C3+aQqCokbpG2PPf+CD3wu+LPgP4X+NL34pfCnxB4PktIvC3hNNO8R6a1rLdXWg+HrLTL27hVv9ZbvcxSLFMPllWIMpIIoA+9a87/AGnv2pPhD+yD8M4/i18bNUvrTR5tbsdJifTtLmu5WuruZYYl2RKSF3NlnOFVQSTxXolfLf8AwWW8T3Xhz/gn14vt9N8B+K/El5qeoaTbWml+DfDN1q147DUbedm8i2RnCBIXJfGBwCeRQB7B8I/2pPhB8cPir8RPg18PdUvrjW/hdqtpp3i1LnS5oIori4hM0YikkULOu0MCyZUMpGcivRK+Q/2NPi7beP8A/go3+0P9l+GPj7SbTVNC8JXOmav4l8DX2nWN4LezlSZIrieNY5JFa5jBRSW4fj5Tj68oA//Z", 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", "info": {"equation": "19+13*10=149", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "b019b0fd014a410e5bd11d11765ef8ab8416f9aab45aa5183731bfcd9d728193"} +{"episode": 51178, "episode_seed": 3671477127, "split": "train", "timestamp": "2025-10-28T03:47:45.188979", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3671477127, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [7, 1, 3, 4])", "action": "('move', [7, 1, 3, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "12+8*6=60", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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vU8E3+tahLr/kx/uJNRjjh+xpIw7+W92yqeDtY9VGP1krwX/goX8LPh38aPhR4e+HfxU8JWuuaHfeNLc3em3hYRylLW7dSShB4ZQeD2rxuIqbq5JXSdvdv92tvnax9p4b8RYbhPjfBZrXpe1hTk7x0v70XG6vpzRvzRvbVLVbnnH/AAQe1f4l6x/wTB+HcnxMhuFe3S8t9Da5gEbPpiXMi2xAGMrsGFY9VCnkYJ+wa8z/AGOdG0rw7+zT4U8PaDp0NnY2FlLbWVpboFjghjnkVEUDoqqAAPQV6ZXZlkeTLqMb3tGP5I8PibMqec8R4zHwpqnGrVnNRW0VKTdvlc/I3/g6o8R/Fi18HfCfwtp0t6ngi8v9Rn1URR/6PLqcaxC2EjD+IRPcFVPXLkZxxJ/wTh+O8fir9iHwhp/x7/bGv7a4FlcafJ4d1Lx1Z28Z0yOV4YIHhb5/LMCquCQxXvyDX3h/wUN+Enw2+N/w08K/Dz4s+D7XXdEuvG8Ulxp14XCOyaffMhyjKeGAPBrtP2RtD0XSP2afBmk6XpNtb2tpokcFrbwwhUijQlURQOgCgAD0FfJY3KcRj+Iq0adeVO8IvS+21t1ppf5n6DiuPMBV8LMBw/8AU17ShWnJ1NNU+Zq2jfM+e0r9IR3+zF+zB4XGlaBq/igNJ/xPNQjmXdjYVjgjiDJxyDt68+1en0AADAFFfX5fg1gMFTw6d+VWv3PyjEVniK8qlrXPjr/gvN4k+LHhj/gmT48u/hLLexSXD2dr4gm0+PMiaVLOqXOSOVRlIRyP4HbPBJr8yv8AgiV42+IWq+Afiv4G1jxLdzeGdF8HXlxomnyzgxWVzOB9peMdU3iKAn+HKZ67s/vZ4o8MeHvGvhrUPB3i3R7fUdK1ayls9SsLuMPFcwSoUkjdT1VlYgj0NfJ37QPwK+EP7OPhLTvhR8DvANh4b8PWXgLxJLbaXpyEIryS2ru5LEszFj1JJ6DoAK+R4tyurUTxyqWjGKTj395fhrf1S+X6vw3x3gcH4d4jhWWFTq1qyqKrpokot+fMuTlVtOWctVa0vVP2QvHepeO9JGp2Xjp/EujnS4li1j+0FukmlTCZEqfIzHa27HccjOa9rqvpKJHpdusaBR5CcAY7CrFfVZXgp5fg1RnUc3du731d+7/M/KsVXjiKzmo8q7I5n4033jfS/g54s1P4Z2zzeJLfwzfy+H4Y4RIz3y27mBQrcMTIEGDwelfzr/8ABJD4t/ELw5+3Rdan4k+NWqeFI/EGm6kfG+tyazFZTTthpgJZrgHDNdCMkfeJJ7Zr+k6vjr9h74G/CH4d/tM65468E/DzTtN1nxZpviG68SajDGxlv5hrFuQzliccuxwuBluleBxLgqmLx2EjCo4NuSuuml7rVa6WP0/gTjjA8NcI51llbCqrLFQioydtLNr3r9Fzc0bbTS73Xgvxw0b4Iavolx8dfht44s/GnxXtPE+h/wDCJeKv7ZttX1casl0iWNlEwJCxuDMGgUBWRppGBKl1/T+vjn48/A74Q69+3dp3xr1n4fadc+K9C1jwra6PrkqMZrSF7wblQZ2jPmPzjPzHBr7Gq+GMLPCVcVCU3NqdrvrZb9dXfX0PleIs1p47LsFRi5NwjJty6c3KlTjq/cgoXj8OspWit2Vz3xVt9KuPh9qi6y22FbYsrBQSrj7hAPfdiuhrxP8AbA+KjeGPCdxo+jWEt9d2kQnNlEObmdsLb24OCcvIyjpxkGvWzzFU8JldSUlfmXKl3ctEv66HzuBpSrYqKWlndvsked/so+IfC3jT9rjXbfUYXN14X8NNa+HXkijMUszyxNqTxtvLb4w9hEfkXbvcZO4gfWFfJ158Dtb/AGcb34fapoV0t1qug3SX+p3Tug/tGS43Lqy7zEAPNM0kqgBfnWLJUDI+sI5ElRZY2DKwBVgcgivP4XfsMHLBTVqlJ2a731T+f6HTmi56yrxd4zWny3Qtfhp/wdI+I/ixP+1P4D8J63Jer4Kt/BRutAjaPFs+oPcyreMp/jkCJaA55UFem7n9y6+Vf+ClfwR+EvxvvPB2l/FzwDYeILbStK1y/wBPg1BWKQ3KCzCyYBGcAkYOQc8g1fFdN1MjqtO1rP11Wh9p4T8WYTgvjahmeJoe1ilONlbmXNFrmjfS/T/C2fM3wA8feAfjv+y34C8NftM/tRt4kvNW0PTJdd8Ga743szbXd0pR4oJrRNpcB1jPknILKAynkV9R/wDBMSOLSfDvxL8F+DF2+A9C+Iktt4KggjUWlqGs7aW+t7UrwYUvpLoYHCOZEGNu0dP+0r4G8H/EL9hxPBnjXw7bajpWrWPh+21GynQhJ4nvbIMh2kEAg9iDV79gbwH4N+GHwJl+H3w98OW2kaJpPiXUINO02zUiOCPzc4GSSckkkkkkkkkk15WWZbXwHEUY1K8qj9k3d9r2tu9OvqceP4gw+NyLFRjBw9rVuqat7KF2pc8dfj09mvdXuN+872Pa65H48eEfgv47+EGv+FP2ibLRbjwTd2JHiKPxDcLFZCBWD7pZHZQgVlVg2RtKggggV11fnH/wc2+JPixov7C2iaX4HlvY/D2qeNbeDxk9omUaBYpJIEmYcrGZ0Q+hdUB5wD9VmeKjg8vqVpR5lFPTv6+XfyPN4HyOrxJxdgstpVvYyq1IpT2cba3jt72nu6r3rao+8/g54O+D/g/4VeH/AAz8DtK0aHwfZ6VCnhxNEdJbQ2m3MbROpIkVgd2/J3Z3ZJOa6hVVQFVQAOgAr8W/+CNXx51iH9kVvD3xP/a/1Xwva6N4kuLTwvo7eNbSxWKx2RyHbHKC5Xz5JsE8dQOBX6tfs0+LNY8Z+HLvXrjXTqmnXLRy6dqInEqTh1JLRuPlZCNpBXjnivDyrifC5jiKeGhSlFteXKrK+nl0Wi6HXxrwtieGuIMbhKtdVXSqSXPd3lru7/a195XdnfV7npdeH/8ABSvxH8WPCX7BPxW8SfA971PE9n4Oun06XTY91xEuAJpIx1DrCZGBHIK5HIFe4VR8TFh4b1Ar1FjLj/vg19LXpurQlBO101ftdbnzOV4yOXZnQxcoKapzjJxe0uWSfK/J2s/I/nt/4IYfFXW/BPxT8beGtR+Pl74H8MXvh+K6vJLbxBbact1fRzqkALzAliI5Ln5V9yegr9AtE0P4Q6D8d/hp8V/2f/E1rrnxA8Q/Fm2ttR8T6dqcOpajrdlKoGrRXcysTJbxWKCQrwsBhgKhCRu9n/4Ji/Av4PfBIa/ovwm+Hem6Fa6n4W8P3+oRWUbH7Rcv9tDSMXJJOABjOB2Aqj4Q+CHwi0r/AIKK3Hx0074fadF4w1DxteWF54gVG8+S2XQXAj5O1RhEGQATtGTX5dgssrrCYLEOvLllUilHpH3nqtfLt1P2fi3xAy/iDjXMM0o0ZUoSpW5Va9S0IxtVs0uV/a+LRKNteZfYtFFFfqx+En5v/AH4m+O7l/gsyeLb+5+I+rfF6dPGmmzRxNdmffejW4biE8wxW8Uj4wB5arbY++m74b/4OIPF3x0f/gp+LDUZtUSy0XRdJf4cRrAdoRo0keSAAfvGN6JlLYJLRheiqK/T74c/BH4TaJ/wUHuvjlpfgGwg8X6v401Wy1LxAqsbie3XS5QsZySFGI4/ugZ2jOaT/gop8E/hN8T/AIu6X4x+IPgKw1fU/Cng17vw5eXiszWE5uifMQAhScoh+YHBUEV+Y1MHOPD+Ij7R+7X++zUfxvf1SP33hHxByPhjjeGZxwXPCdConG0U4zqPntHpyRt7NPRuEpPlV+Q+qPhVeeL9Q+F/hvUPiDbtDr8+gWcmuRPGEKXjQIZlKjhSJCwwOBW/RRX6bFcsUj8GqzVWrKaSV23ZbK/ReSCvPv2kdIGp+CLS4OmC4Njqsdwr7STAdkibxj2crzxhjXoNFcuPwn17BVMPzcvMmr9isPV9hWjUtezucv8ABbwkfA/wt0bwyxl3QWxdhPjeGkdpCDgDGC5GPauooorahSVCjGmvspL7lYznJzm5dz5X/bY8Uazpf7U3ws0bxDrk9j4Wl8P69c2SyOsdpc64n2VY0kckZkWzkvmRO481gDsJX55/Zf8A2kPDc3gqXV9X/bevbS3tPGOsJoOnXHjewtoTpkWozLaL5OM+UYlUDJyyYOec19+fHX9nz4L/ALTXgGT4XfHr4d6f4n0CS6iuW03UkYoJoySkilSGVhkjII4YjoSD0mjeGvD3h3R7Tw/oOiWtnY2FtHbWVpbwKkcEKKFSNVAwqqoAAHQCvl8dw5i8XmdTE08S6aklte+itbdadfVn139v5UuH6OF+r3rR0bajy2TnJNPVuUudKSaVlBay5rQ5j4C6rr2seBvtuuXMs4a6f7JPMxZpIsA5yeoznBrtaAABgCivo8DhpYPCQoyk5OKtd9T5SvUVatKaVr9Arxr9qrwK/ja603Thpbsb7TrvTFvIFJkRbjYHQdQPuKwyP4T2Br2Wisc0wCzPBSw7lyp219Gn+heFxDwtdVEr2v8AkMtoRb28dupJCIFBPsMU+iivQOc5f43X/jnSvgv4v1T4YWzzeJbbwvqEvh2GKESNJfLbSGBQrcMTIEGDwelfm9Z/G/wt4bufgDY+FP2mb7QItX8NX7+INTXxBa21zdWf2FGklupZsmOU6jHCrDgmXzlI+Rgv6k1wPws/Zb/Z5+CXjLxT8QvhR8I9G0LWvG199s8U6jY22JNRn3yPvfJIHzyyNhcAlycZr53O8lxGa16M6dZ0+S+1769Vqtem+x9XkWd5Zl2W4ijiaPPOV3DSNm3GULTb1Sjzc8LJ+8rNK/NH59+Akfg34s+NbRvC3xdk8aT2+u2N7qmrLr8Gozxi2lWaKOR4vlRP3ZABAJ3Ng5PH2BTY4YYc+VEq567VxTq6smyqWVUpxlVdRyd236Jd3+Z4GMxaxc4tR5UlawVzF78LtJvfiJD8QpLt/MiQbrbYNrSBdqvnrwO3qB9D09FehiMLh8UoqrG/K1JeTWzOenVqUm3B2urfJnNfEb4aad8RoLSK9v5LdrSYsHjQMWRsbl56ZwOe3oa6KCGK2gS3hXakaBUUdgBgU+inDC4elXnWjG0p2u+9tglVqSpqDei2+YV8a/tV+NYtI/bN1qx+K/i6TS/Dlj8IYbnw4t9MkFoUe7uf7XnRmIDyosWnh852IyHgPz9lVwnxy/Zi+AH7S9votp8efhRpHimPw7qi6joqarAXFrcAY3DBGQRjKHKtgZBwK4M7y6pmuXyw8JcrbT8tHs/63PZ4ezDAZfjpSxsW6couLcUnOOqaceZpXuuV6r3XI+EP2Yfjb4e8cfArwG3xU/bCu9W1a80qxlu/D2r+NbFVmuAytAj2yBWDhhEwjGCHABHUV94fs7eEm8J/DkLIJg+o6jc37pMMFTK+cAYHGACM+tdt9ktQ24W0ec9dgqSuHKsgq5fjHiKuIdR8vLqtldPdt9iM1zalmM5unRVKMpOVo7K99FotFe3ogrn/AIqfCv4d/G74fap8Kviz4Rs9e8O61biHVNJv0LRXCBgwBwQQQyqwIIIKgggiugor6OUYzi4yV0zyaNarh6satKTjKLTTTs01qmmtU09U1sYPw6+F/wAPfhL4G0r4afDbwhY6PoOiWSWmlaZZwgR28KjhRnJPqSSSSSSSSTW6qqoCqoAHQAUtFEYxikkrJCq1alepKpUk5Sk2227tt6ttvdvqwrxz/goNrnj3w3+xd8RNb+Gt5qNtqsHh5ybvR4fMu7a1LoLqaEf89EtjM6kZIKgjkCvY6SSOOWNopUDKwIZWGQQexrOvTdahKmna6av2utzqy7FQwGYUcTKCmqc4ycXtJRadnvo7WejPzX1r43+DPDv7UGk+EfCP7Ub+FfDsnwtFzfrpHiqztbeUi7i/sxvNk3Fy0Et4yqDgptfoQT9C/srWHhTx/wCOtL8W+EfiAfFEOk6jc3t7rsWrRXxuLlrWS3ImmjypYJMvyjBAVewOfZ/gR+y9+z5+zH4ev/CnwC+Euj+FtO1PUn1C/tdLt9qzXDKqlzuJP3VUBR8qgcAV3ccUcQ2xRqo9FGK+PwHCmJw06MquJbUJKXKk+W6d9Lv8bdz3s6zvLcRVcMDSahy8qlJJTl3lJRur3dkuZ2SSu7DqKKK+1PlD8qrj436toHwh+F+seKPjpf8Ahzx7qvxakh8Z3cupW1pewXhnuxrME3m5FvHDG7qMAbFFuB99d3vPgCbwJ8atauvC2gfHqbxzqWoWyWtxM3ii31G5s7Yvg7REMRpliSWGM96+n/D37Lv7PfhT44a1+0n4d+EmjWnjrxFZLaa14mit/wDSbuECMbWOcDPkxZIALbFyTiu6jt4IjuihRT6qoFfC0+D8VZxqYp8rleyTs9b3eu79Hr3Pt884lyvG11UwWH5b8zbaimpTbbjHlv7kPhjs2ru0b8qfRRRX3R8QFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXj/wC2b+3V+zl+wR8PtP8AiT+0d4ovrGx1bVDYaZa6Ro1xqF3cyrDJPKyQW6NIUighlmkfG1EjZiRXsFfA/wDwW48OfEvQPEXwb/aP8H/BbxX490jwevjXRtc0PwXokmpXyTa34Zu9Pspvs8eWMX2kpE79I1n3HgGgD7p8K+KPD3jjwvpvjXwjrEGo6TrFhDe6XqFq+6K5t5UEkcqHurIysD6Gr9eRf8E//hN4z+A37C3wc+CfxFj2a/4T+GGhaTrcW8N5V3b2EMUseRwQrqy577a9doAK5n4zfF7wN8AvhVr/AMZ/iXf3FtoPhvTZL7U5rSxluZREgyRHFErPI5OAqqCSSAK6auQ+P3xA0r4V/BPxT8Q9b0TWtStdJ0S4nnsPDmjTajfTgIRtgtoFaSZznhFBJoAi/Z2+Pnw5/ak+B3hf9of4RX11c+GfF+kRalok97ZvbyvBJ90vG/zIeOh5rtK+Rf8AghTr2pXv/BLX4UeDfEHw+8W+GNY8H+H49B1zSfGXhe60m6S7gVWcpFcojSRfvBtlA2sQwByDj66oAKSSRIo2lkYBVBLE9hS0kjiONpGBIUEkAZJoA8S/ZK/4KFfsx/tr+I/Fvg74GeItYfVvBUtt/bel+IPDd5pdx9nuQ5tryKO6jRpraYRyGOZQVbacds+3V8Bf8Eh/izqH7T37UHx7/aw+K/wg+I3g7xz4qvLHS9M0Hxj8PdQ0i00jwrp0tzDptvFc3MSR3dzM0lxdz+WSENwiDhMn79oAKKKKAPEbr/goV+zRp/7Y9l+wtqWs67a+O9TimOltdeF7yPS76eG1W8ltIb9oxby3CW7LK0SuWVTzg8V7dX57fGfTvFPxN/4Lo/B3xT8Lvg/8XI73wDb61ZfEPWvEulXH/CGR6FNpDmC702WQtbi9ku5YYS8G2YrHIkg2qK/QmgAooooA8s/aw/bL+AX7FXhPw74y/aA8VS6ZaeK/GNh4X0FLaze4lu9SvHKwxKiAnHyszN0VVJNep1+X3/Bwf8Ev22PiT4m8BfED4F/svL8TfCnhOXRms4bTxMLW60rXJPE+lyvcfZVglkuFa2tEtzMNq20VzcytuVWWv0706a9uNPgn1GzW3uHhVp7dZd4icgFlDYG7ByM4GcUATUUUUAeaftYftXfCv9jT4UD4xfF6216402TWrLSbWy8MaBPql/d3l3MIYIYba3VpJXd2CgKCea6n4SfEvR/jJ8NNE+Kfh/RNb02y13T0u7aw8SaNNp1/AjDhJ7adVkgcd0cAivCv+CsPhD4Q+Mv2UPsnxx8HfF3WPD9j4r0zUZD8D7W4l8Q2NxbymW3uoRbfv1VJljy8PzqSp4UMRqf8Epl/aTT/AIJ3/Cdf2vG1k/EL/hGF/t4+JGzqW3zpPs32s9ftP2byPNzz5m/POaAPoOiiigCtrOsaV4e0i78Qa7qENpY2NtJcXl3cSBY4YkUs7sx4ChQST2Ary79kH9tj4D/tyeBL74k/s/3+t3OkWV+LdbnW/DV3pv2tGjWSK6txcxoZ7aVGDRzJlHGcHgirv7a3w18X/Gf9jf4s/B/4fEf294q+Gmu6RomX2g3dzp88MIyenzuvNfH/APwb0eGv2h/CPwW8b+HvibpvxZsfBdjceHrTwVp3xlWddUtb6LQ7WPW44FuP3iWC6grrAo/dBVby/kxQB+htFFFABXz58I/+Cl37PPxk/ay1T9izRPDXxB0jxxpljqN95Xin4fahplne2tlcpbT3Ftc3Eax3EXmSIFkjJVwwIJyK+g6+UP2c/A/jP4jf8FUPj5+03408J6pYaT4T8L+H/hv8P7rUtPlgS9gVH1bVLm3MigSxNc3dvD5iZUtZkZypoA+r6KKKACvAvjV/wUw/ZI/Z+/ah8M/sg/Evxnqdt4x8UPp6Wq2vh+6uLGye/nkt7BLu7jQxWrXM0UkcQkYF2UgV77X5Qf8ABSP4N/HHxV/wWa+H/jfw78CfHWrzR6h8O28A6zoGhSTeGZbW01q/m199dlUeV5ttayxy2hnO6N33Q/MTQB+r9FFFAH//2Q==", "info": {"equation": "12+8*6=60", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "c46cc86c501f750c2ce1528019d2d80b7f5aa160f23d1468e6607333ce7dbc76"} +{"episode": 51179, "episode_seed": 1530442715, "split": "train", "timestamp": "2025-10-28T03:47:45.235740", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1530442715, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 0, 1, 4])", "action": "('move', [6, 0, 1, 4])", "reward": 0.0, "image": 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", 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", "info": {"equation": "76-60=16", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "76-60=16", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "271b1d50a00c6f7f76b9cd9152def46c81d962ed312b92f3557c1041ee6096eb"} +{"episode": 51180, "episode_seed": 2944510039, "split": "train", "timestamp": "2025-10-28T03:47:45.311978", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2944510039, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 5, 7, 4])", "action": "('move', [3, 5, 7, 4])", "reward": 0.0, "image": 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", 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", 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MrrdPmV7PVbbeh+u8WeIGAznhXJMBSwahPCUnCUtPea5VeNlez5eeV/tyfq+b+C3hI+B/hbo3hljLugti7CfG8NI7SEHAGMFyMe1dRRRX3tCkqFGNNfZSX3Kx+QTk5zcu5+Rv/B1R4j+LFr4O+E/hXT5b1PBF7f6jPqoiT/R5dTjSIWwkYfxCJ7gqp65cjOOM/wD4JmfFnxlefsReE/iL8XPipc2c+m/ES3tofEN/qkULW9jb20MFtE0z/KqCJEhw3JU47g1+qPx1/Z9+C/7TXgCT4XfHr4d6f4n0CW6iuW03UkYoJoySkilSGVhkjII4YjoSK8Ku9B0Tw7+1FD4a0HSbez0+x8eaXb2dlbxBIoYk0GBURVHAVVAAA6AV8JxDk1d5jHFKrZVJ04pa3T2v8rXXm3t1/Xlx9gMZ4a4ThmOESq4edSpKppaSfM0u93z2lfS0I73tH3H4C6rr2seBvtuuXMs4a6f7JPMxZpIsA5yeoznBrtaAABgCivtsDhpYPCQoyk5OKtd9T8kr1FWrSmla/QKw/ibd+K7D4beIb7wHbmXXIdDu5NFiWMOXuxC5hXaeGy4UYPBrcorpkuaLQqU1Tqxm0nZp2ez8n5H8/H/Bv14w+PWof8FXhfSzardza7pWtv8AEu4u4C8jRlWmaS4LDKMb5bYFuDvbb/Ea/oHr49/Y5+Cfwm+Hv7XOv/EnwT4BsNN17xYviqXxHqturedfuuswkFyxIHLE4XAJOSOBX2FXzXCdF0cslFyb9+W/k7fpf1Z+meLfGOD444phmGGw/sYqjThbS7aTbbtppzcsf7sY7bLmfjTfeN9L+DnizU/hnbPN4kt/DN/L4fhjhEjPfLbuYFCtwxMgQYPB6V/O3/wSN+M/xO8M/tuX0viD466z4Ss/EllqEvjzVX12Oye6lVZJUM8lxwZPtLD/AG8uw6Fq/pKryn4EfCH9jnwN8SvH/iH9nnw94Ng8VavrCyfEZ/D93FNdC9LyuFukV2MDl2mbYQuSWOM5q88yatmmIozp1vZ8t/XVbrVa6a67GnA/HWD4Y4SznLK2D9s8XCMVKytCza99u+i5uaFvtpd7r4W+OGjfBDV9EuPjr8NvHFn40+K9p4n0P/hEvFX9s22r6uNWS6RLGyiYEhY3BmDQKArI00jAlS6/p/Xxz8efgd8Ide/bu07416z8PtOufFehax4VtdH1yVGM1pC94NyoM7RnzH5xn5jg19jVzcMYWeEq4qEpubU7XfWy366u+vofMcRZrTx2XYKjFybhGTbl05uVKnHV+5BQvH4dZStFbsrnvirb6VcfD7VF1ltsK2xZWCglXH3CAe+7FdDXif7YHxUbwx4TuNH0awlvru0iE5sohzczthbe3BwTl5GUdOMg162eYqnhMrqSkr8y5Uu7lol/XQ+dwNKVbFRS0s7t9kjzv9lHxD4W8aftca7b6jC5uvC/hprXw68kUZilmeWJtSeNt5bfGHsIj8i7d7jJ3ED6wr5OvPgdrf7ON78PtU0K6W61XQbpL/U7p3Qf2jJcbl1Zd5iAHmmaSVQAvzrFkqBkfWEciSossbBlYAqwOQRXn8Lv2GDlgpq1Sk7Nd76p/P8AQ6c0XPWVeLvGa0+W6Fr8NP8Ag6R8R/Fif9qjwH4T1uS9XwVB4KN14fiaPFs9+9zKt4yn+OQItoDnlQV6buf3Lryv9qP4Ufsf/FGy8Lxftc6J4Pu4LHxHE/hP/hLb2KBTqTA7I4TI6+a7gf6r5g+0ZU4GO/PcvnmeXSoRnyttO720fX+t7H2PhXxdh+COM6OaVsM68YxnHlik5Lmi1eN+q2f91yPhD4AePvAXx3/Zc8BeGf2mv2o28SXmraHpsuu+DNd8b2Ztru6Uo8UE1om0uA6xnyTwWUBlPIr6j/4JiRxaT4d+JfgvwYu3wHoXxEltvBUEEai0tQ1nbS31valeDCl9JdDA4RzIgxt2j0P9uLwJ4O+IH7M2veCvGnhy21HStVvtKttRsZ1ISeJ9TtQyEqQcEehBqj+wN4D8G/DD4Ey/D74e+HLbSNE0nxLqEGnabZqRHBH5ucDJJOSSSSSSSSSSa+fy3LK+X8RxhUryqP2bd325rW3enX1ObH8QYfG5DilGDh7ardU1b2ULtS546/Hp7Ne6vcb953se11yPx48I/Bfx38INf8KftE2Wi3Hgm7sSPEUfiG4WKyECsH3SyOyhArKrBsjaVBBBArrq/OP/AIObfEnxY0X9hbRNL8Dy3sfh7VPGtvB4ye0TKNAsUkkCTMOVjM6IfQuqA84B+pzPFRweX1K0o8yinp39fLv5Hm8D5HV4k4uwWW0q3sZVakUp7ONtbx297T3dV71tUfefwc8HfB/wf8KvD/hn4HaVo0Pg+z0qFPDiaI6S2htNuY2idSRIrA7t+TuzuySc11CqqgKqgAdABX4t/wDBGr486xD+yK3h74n/ALX+q+F7XRvElxaeF9HbxraWKxWOyOQ7Y5QXK+fJNgnjqBwK/Vr9mnxZrHjPw5d69ca6dU065aOXTtRE4lScOpJaNx8rIRtIK8c8V4eVcT4XMcRTw0KUotry5VZX08ui0XQ6+NeFsTw1xBjcJVrqq6VSS57u8td3f7WvvK7s76vc9Lrw/wD4KV+I/ix4S/YJ+K3iT4Hvep4ns/B10+nS6bHuuIlwBNJGOodYTIwI5BXI5Ar3CqPiYsPDeoFeosZcf98Gvpa9N1aEoJ2umr9rrc+ZyvGRy7M6GLlBTVOcZOL2lyyT5X5O1n5H89v/AAQw+Kut+Cfin428Naj8fL3wP4YvfD8V1eSW3iC205bq+jnVIAXmBLERyXPyr7k9BX6BaJofwh0H47/DT4r/ALP/AImtdc+IHiH4s21tqPifTtTh1LUdbspVA1aK7mViZLeKxQSFeFgMMBUISN3s/wDwTF+Bfwe+CQ1/RfhN8O9N0K11Pwt4fv8AUIrKNj9ouX+2hpGLkknAAxnA7AVR8IfBD4RaV/wUVuPjpp3w+06LxhqHja8sLzxAqN58lsuguBHydqjCIMgAnaMmvy7BZZXWEwWIdeXLKpFKPSPvPVa+Xbqfs/FviBl/EHGuYZpRoypQlStyq16loRjarZpcr+18WiUba8y+xaKKK/Vj8JCv5+/+DiDxd8dH/wCCn4sNRm1RLLRdF0l/hxGsB2hGjSR5IAB+8Y3omUtgktGF6Kor+gSvjj/gop8E/hN8T/i7pfjH4g+ArDV9T8KeDXu/Dl5eKzNYTm6J8xACFJyiH5gcFQRXzPFtF1cnbUrWlF+utv1v8j9Q8I+McHwRxY8wxOH9tGVKpC2l02k01fTXl5X/AHZS32f1R8KrzxfqHwv8N6h8Qbdodfn0Czk1yJ4whS8aBDMpUcKRIWGBwK36KK+liuWKR+Z1ZqrVlNJK7bstlfovJH55ftj/ABPn8MeP/wBpa/8AiT8QbvRrzRvDdkPCHnvFG1tph0oNaz2aPxKX1OS8Tdg7pUWPnAWug+Cnx5s7620OG4/bFvNe8QahpMMd1ok/jmzuTJdNErSqkMQDFwwbAU8YNfWPxJ/Zh/Z/+MHxH8LfF74nfCfSNa8S+CpzN4W1i9gLTafIWV9yEHBwyqy7gdrDIwea7hbW1Rt6W0YI6EIK+MrcLY2ti61WOKcFOTdlfZ9Hqttl5H2GP4iymtgMPTo4f95GMVNtRSTjCMEotXbUuVzk2k+aVrO3NKl4Qm1a48K6dPrqFbx7OM3AYYO7aM5HY+vvWjRRX2NKDp04wbvZJXfXzPjZS5pN2tcK8W1f4ftrH7TcOpNpslv5OpxarJNCpxOY7TyFZicjoFTjH3B717TRXFmGAWP9leVuScZ+tuhth8Q8PzWV+ZNfeFFFFegc4UUUUAeL/Bf4fmw+NmqeI20ySzGnQ6hCIY1Ii33d1FM5y3JJMe4YPRye4r2iiivPyzALLcN7FS5tW7vzdzoxWIeJq87VtEvuOZ+NN9430v4OeLNT+Gds83iS38M38vh+GOESM98tu5gUK3DEyBBg8HpX87f/AASN+M/xO8M/tuX0viD466z4Ss/EllqEvjzVX12Oye6lVZJUM8lxwZPtLD/by7DoWr+kquC+Fv7Ln7PXwT8ZeKfiF8KfhJo2ha142vheeKdRsbbEmoz75H3vkkD5pZGwuAS5OM15ud5LiM1r0Z0qzp8l9r316qzWvTfY/SOCePsv4V4VzfKq+EVWWMhGMZaWi1dPmvrZX5o22ml3uvnz4CR+Dfiz41tG8LfF2TxpPb67Y3uqasuvwajPGLaVZoo5Hi+VE/dkAEAnc2Dk8fYFNjhhhz5USrnrtXFOrqybKpZVSnGVV1HJ3bfol3f5n53jMWsXOLUeVJWsFcxe/C7Sb34iQ/EKS7fzIkG622Da0gXar568Dt6gfQ9PRXoYjC4fFKKqxvytSXk1sznp1alJtwdrq3yZzXxG+GmnfEaC0ivb+S3a0mLB40DFkbG5eemcDnt6GuighitoEt4V2pGgVFHYAYFPopwwuHpV51oxtKdrvvbYJVakqag3otvmFfht/wAHRnij4uj9qzwD4Z1O6v4vBtr4M+2eHFClYG1FrmVbt1YfekVEtAe6grjG7n9ya4T44/sx/AH9pa30W0+PPwp0jxTH4d1RdR0VNVgLi1uQMb1wRkEYypyrYGQcCuDO8uqZpl8sPCXK20/LR9f63PvvC/jLB8B8YUs3xVD2sIxnFpW5lzRavG+l+j/utnwb+yz8dbL4i/AH4f3vxw/bEu9X8R6jo2n3Gr+H9X8c2ZWa++R0R7dcPvEgjYJnO4DPORX3n+zt4Sbwn8OQsgmD6jqNzfukwwVMr5wBgcYAIz61232S1DbhbR5z12CpK4cqyGtl+MeIq4h1Hy8uq2V09232PmM3zenmdWpOnRjSU5uXLHZXb0SstFey8kFc/wDFT4V/Dv43fD7VPhV8WfCNnr3h3WrcQ6ppN+haK4QMGAOCCCGVWBBBBUEEEV0FFfRyjGcXGSumeRRrVcPVjVpScZRaaadmmtU01qmnqmtjB+HXwv8Ah78JfA2lfDT4beELHR9B0SyS00rTLOECO3hUcKM5J9SSSSSSSSSa3VVVAVVAA6ACloojGMUklZIVWrUr1JVKknKUm223dtvVtt7t9WFeOf8ABQbXPHvhv9i74ia38NbzUbbVYPDzk3ejw+Zd21qXQXU0I/56JbGZ1IyQVBHIFex0kkccsbRSoGVgQysMgg9jWdem61CVNO101ftdbnVl2KhgMwo4mUFNU5xk4vaSi07PfR2s9GfmvrXxv8GeHf2oNJ8I+Ef2o38K+HZPhaLm/XSPFVna28pF3F/ZjebJuLloJbxlUHBTa/Qgn6F/ZWsPCnj/AMdaX4t8I/EA+KIdJ1G5vb3XYtWivjcXLWsluRNNHlSwSZflGCAq9gc+z/Aj9l79nz9mPw9f+FPgF8JdH8LadqepPqF/a6Xb7VmuGVVLncSfuqoCj5VA4Aru44o4htijVR6KMV8fgOFMThp0ZVcS2oSUuVJ8t076Xf427nvZ1neW4iq4YGk1Dl5VKSSnLvKSjdXu7Jczskld2HUUUV9qfKBXi37THw8Hjnxdp2mDTJAdV046e17bqfM2GQllycqNoO4ZHck8CvaaK8/M8AsywjoOXKrp39GmdGFxDw1X2iV9/wAUFFFFegc4UUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFeP/tm/t1fs5fsEfD7T/iT+0d4ovrGx1bVDYaZa6Ro1xqF3cyrDJPKyQW6NIUighlmkfG1EjZiRXsFfA/8AwW48OfEvQPEXwb/aP8H/AAW8V+PdI8Hr410bXND8F6JJqV8k2t+GbvT7Kb7PHljF9pKRO/SNZ9x4BoA+6fCvijw9448L6b418I6xBqOk6xYQ3ul6havuiubeVBJHKh7qyMrA+hq/XkX/AAT/APhN4z+A37C3wc+CfxFj2a/4T+GGhaTrcW8N5V3b2EMUseRwQrqy577a9doAK5n4zfF7wN8AvhVr/wAZ/iXf3FtoPhvTZL7U5rSxluZREgyRHFErPI5OAqqCSSAK6auQ+P3xA0r4V/BPxT8Q9b0TWtStdJ0S4nnsPDmjTajfTgIRtgtoFaSZznhFBJoAi/Z2+Pnw5/ak+B3hf9of4RX11c+GfF+kRalok97ZvbyvBJ90vG/zIeOh5rtK+Rf+CFOvale/8EtfhR4N8QfD7xb4Y1jwf4fj0HXNJ8ZeF7rSbpLuBVZykVyiNJF+8G2UDaxDAHIOPrqgApJJEijaWRgFUEsT2FLSSOI42kYEhQSQBkmgDxL9kr/goV+zH+2v4j8W+DvgZ4i1h9W8FS239t6X4g8N3ml3H2e5Dm2vIo7qNGmtphHIY5lBVtpx2z7dXwF/wSH+LOoftPftQfHv9rD4r/CD4jeDvHPiq8sdL0zQfGPw91DSLTSPCunS3MOm28VzcxJHd3MzSXF3P5ZIQ3CIOEyfv2gAooooA8Ruv+ChX7NGn/tj2X7C2pazrtr471OKY6W114XvI9Lvp4bVbyW0hv2jFvLcJbssrRK5ZVPODxXt1fnt8Z9O8U/E3/guj8HfFPwu+D/xcjvfANvrVl8Q9a8S6Vcf8IZHoU2kOYLvTZZC1uL2S7lhhLwbZisciSDaor9CaACiiigDyz9rD9sv4BfsVeE/DvjL9oDxVLplp4r8Y2HhfQUtrN7iW71K8crDEqICcfKzM3RVUk16nX5ff8HB/wAEv22PiT4m8BfED4F/svL8TfCnhOXRms4bTxMLW60rXJPE+lyvcfZVglkuFa2tEtzMNq20VzcytuVWWv0706a9uNPgn1GzW3uHhVp7dZd4icgFlDYG7ByM4GcUATUUUUAeaftYftXfCv8AY0+FA+MXxetteuNNk1qy0m1svDGgT6pf3d5dzCGCGG2t1aSV3dgoCgnmup+EnxL0f4yfDTRPin4f0TW9Nstd09Lu2sPEmjTadfwIw4Se2nVZIHHdHAIrwr/grD4Q+EPjL9lD7J8cfB3xd1jw/Y+K9M1GQ/A+1uJfENjcW8plt7qEW379VSZY8vD86kqeFDEan/BKZf2k0/4J3/Cdf2vG1k/EL/hGF/t4+JGzqW3zpPs32s9ftP2byPNzz5m/POaAPoOiiigCtrOsaV4e0i78Qa7qENpY2NtJcXl3cSBY4YkUs7sx4ChQST2Ary79kH9tj4D/ALcngS++JP7P9/rdzpFlfi3W51vw1d6b9rRo1kiurcXMaGe2lRg0cyZRxnB4Iq7+2t8NfF/xn/Y3+LPwf+HxH9veKvhprukaJl9oN3c6fPDCMnp87rzXx/8A8G9Hhr9ofwj8FvG/h74m6b8WbHwXY3Hh608Fad8ZVnXVLW+i0O1j1uOBbj94lguoK6wKP3QVW8v5MUAfobRRRQAV8+fCP/gpd+zz8ZP2stU/Ys0Tw18QdI8caZY6jfeV4p+H2oaZZ3trZXKW09xbXNxGsdxF5kiBZIyVcMCCcivoOvlD9nPwP4z+I3/BVD4+ftN+NPCeqWGk+E/C/h/4b/D+61LT5YEvYFR9W1S5tzIoEsTXN3bw+YmVLWZGcqaAPq+iiigArwL41f8ABTD9kj9n79qHwz+yD8S/Gep23jHxQ+npara+H7q4sbJ7+eS3sEu7uNDFatczRSRxCRgXZSBXvtflB/wUj+Dfxx8Vf8Fmvh/438O/Anx1q80eofDtvAOs6BoUk3hmW1tNav5tffXZVHlebbWssctoZzujd90PzE0Afq/RRRQB/9k=", "info": {"equation": "2+13*5=67", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", "info": {"equation": "2+13*5=67", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "5850d37db058cde26653fa54cb760e6b5b0a68d2e53a64c62b957a772f43d76d"} +{"episode": 51181, "episode_seed": 813948464, "split": "train", "timestamp": "2025-10-28T03:47:45.358997", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 813948464, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 0, 1, 8])", "action": "('move', [4, 0, 1, 8])", "reward": 0.0, "image": 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", 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", "info": {"equation": "4*3=12", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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"info": {"equation": "4*3=12", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "498f87f0ed7b56adddb64a377879369d2af6fb66b3c84d3f99ffb7475480a420"} +{"episode": 51182, "episode_seed": 3177884166, "split": "train", "timestamp": "2025-10-28T03:47:45.412968", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3177884166, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 0, 4, 4])", "action": "('move', [3, 0, 4, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "19*16=304", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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mARs+mJcyLbEAYyuwYVj1UKeRgn7BrzP9jnRtK8O/s0+FPD2g6dDZ2NhZS21laW6BY4IY55FRFA6KqgAD0FemV2ZZHky6jG97Rj+SPD4mzKnnPEeMx8Kapxq1ZzUVtFSk3b5XPyN/4OqfEfxYtfB/wn8LafLep4IvL/UZ9VEUf+jy6nGkQthIw/iET3BVT1BcjOOKf/BPL4oeG/Hn/BP/AMLeBf2iP2sru0tZ9LudKuvCd547tLGB9JSV4YbZ4gVkWJoFCEFgWQ8nmv02/as+Hf7LnxN+D114d/bCsPDE/gpLyCe5bxbfpa2kVwr4ifzndBG+5toIYE7ivIYgr8efCvg6D9lLxl4Y0fQ7FNGT4fahaWtnbRKIBaixkRY0C8BNmAAOMdK+bzPh/E4rMK2JhiXBOK0V76K1nqtNPz0P0KfiDhJ+G+XcPLB8tShWlP22murfuvfn99c2qsow1193wX/gnH4c8LeAv2gfi34E+DGiWWneCItP0K8u7DRrOKOwttfkS5S5WMxjAka0i095Ix93KNgb+fsGvnT/AIJ3/CD4YfAzw74y+Hvwh8E2Xh/RYdft549PsFbZ5sllCXcliWZjgckngAdABX0XXq8MwcMjoK99L/e2/wAD4PivHU8wz2rWp3atGN5fFLlhGPNKzdpStdq8rXtzS3ZXzl+254psvh7b3Xi3Q7P7Vq401EtbBFT/AEq9kkENpF8zKCzyuiYJHGOa+hdV1Oz0XTZ9W1CXZBbRNJK3ooGT9TXzA3hO/wD2l/2gpzdwyrp3hiwbXGLOqq2oS+Zb6dEcodwjjS5kbBBDCE8544eKn9aoU8DTXNUm7pdlFNt/Pb5s48pXsqkq8naMVb5v+rnsn7Jth4O079mzwXH4EuTPp8ugw3H2mSNUluLiUeZcSyqjMFmeZpWkAJw7MMmvQ68R/Y5GreGB4n+Hl2F/s5NYk1XRFDqDbrcnfdQFAikYuvNlBJbIuMZG3Fe3V7WU4uljcup1aeiaWnZrRr5M4sXRlQxMoS7hRRRXonMfzt/t2+Ov2pX/AOC6WoatbJqsnjLSPihp9r4EtTaBmFkk0f2BIoz8rRvEyt6N5js3LNX9ElfHXx8+Cfwl8Rft4ad8bdd8A2F34s0PWPCtpo+uzKxmtIXvBuVOdoz5j84z8xwa+xa+Y4eoOjisZeTf7zr6X+/X8D9T8R+NcHxbluT0KGGVF4XDqnJq3vPRaW+wuW8U9U5S9WV/OB+3d8UP2idG/wCC0/ifxf4h8Uano/ibR/idHaeHL6Vkgex0tZRHZtEX+RIzaMjhjwRIXPLE1/R/Xxv8Zfgj8Jdb/b4tvjhrHgDT7nxbpXiPw5ZabrsyM01vbt5e5FGdoz5jjOM4YjNRxXh5YjC0VGbj+8itPPS/qt0V4VcbYLgrHY6ricKq6rYedNJ20bs7O/2JbTW9raO1jzTx7pn7I/x3d1+NPxy0r4kW2kaZfPBbeKfGlpqEWmWzxj7TdRxoVEbCNRmcjdGASrLkk/W37BOvfEPxP+xp8ONf+Kl1qNxrl14Wt3ubrV4RHd3EeD5Msy8YleHy3bIB3MSQDkV5z/wUf+Bfwf8AjfJ4L8PfFv4eadr9jYrqt9aWl9G2xLhIoAr4UjdgMwwcg55Br334K/8AJHPCXA/5Fmw6D/p3jrDIcDVwWdYmFSq5tRhdvrfXu9rWR81meb0sRwxQwq5m+dys7ctNRurU9X8blzT0irxj8W66avK/2o/hR+x/8UbLwvF+1zong+7gsfEcT+E/+EtvYoFOpMDsjhMjr5ruB/qvmD7RlTgY9Ur8Nv8Ag6M8UfF0ftWeAfDOp3V/F4NtfBn2zw4oUrA2otcyrdurD70ioloD3UFcY3c+1nmPhl2XSrShzq6Vntq+v9b2PV8K+FMRxnxnRy6jinhpOM5e0jfmXLF6Rs1dvZ6r3eZ9LH7i/ZLUNuFtHnPXYKkr83v2O/2lr7XPgn8PvEvxO/bX1C78Xah4ftG1bRtR8d2R826lj2+W8AAfcdw+XO7djvX3/wDCe71y98A6fc+IWka5ZG+ebO9k3HaWzznbj61y5VxFhs3xLo0qclZXu7d0raN9z5TN8lrZPXqUqk4y5JuF4u6dm1deTtodFX5x/wDBzb4k+LGi/sLaJpfgeW9j8Pap41t4PGT2iZRoFikkgSZhysZnRD6F1QHnAP6OVyPx48I/Bfx38INf8KftE2Wi3Hgm7sSPEUfiG4WKyECsH3SyOyhArKrBsjaVBBBAr08zwssbl9ShGXK5Jq/+fl38j0OB89pcM8XYLNKtH2saNSMnDdvp7v8AeV7x/vJH5B/8EdvjfqNz+x1P4Q+LP7X2r+GLHTPEF1YeG9GHjm208RaeY43YIr/vAvnST4bIxyFwFGPsL9g7wV8K/hd+2g3hf9mPRNLsPDOo/CMXPjC38ORRPZtLFeQLo88sqEnzpIZNR2sTmVELktjdX1z8K/CHwh8G/BzRfDnwN0vRoPCFlosa+G00R0ltPsmzMbROpYSKwO7fk7s7snOa+cP+CX/wR+EnwSvtZtPhN4BsNBj1vwdoeoauLFWzdXLNdAyOWJJPoOgycAZNfG0MmxGXZvglUxDnfmtvZcsdlq9Ht00Prc94ywudY3OcbCjKksRLSkrcrcpNc1TVe/D41aMv3jveNtfr6vHP+Cg2uePfDf7F3xE1v4a3mo22qweHnJu9Hh8y7trUugupoR/z0S2MzqRkgqCOQK9jqj4mJHhvUCvX7DLj/vg193XputQlTTtdNXXS63PzXLsVHA5hRxMoKahOMnF7S5WnZ76O1noz5R/ZD8ZLqP7Yc3hb4Y+IxqHhKL4QQz6wmnvHPaW8326P+yW85SSHlt5L9lXOHjRX6YJ/Jf8AY48dftS6n/wXi0jxHr6atL45vPitd2vi2K4tAZY7DfJFeIyHhIo7QOBjhERdvQV+t/8AwTA+CHwj+BY8QaL8IPAGn+H7XVPC3h+/1GKwVv8ASLlvtoaRixJJwAMZwOwGTVHwl8E/hLpv/BRe4+O9j4B0+PxjqPja8sL3xCEY3EtsuguBHydoGEQZABO0ZNfnWHwspZRl0ud/xfzk/wArfiz9n4d47yXhitnOGp4T2sK+F9lGUlFSvZ3c0m1yyc9Um3aEFruvsOiiiv0o/Cz+af8AZ8+Lnx/0v/grX/wm3xP+IureGPFuoePb608cavPdxWU9pC0jpdRs8o2QqsalAOihVC9Fr9Hv2iNG/ZX+KPw38X/Efxl8XrLx34i0PwlL/ZGvX/iW21XUNFdGMlqbJUOIZWu/K27V3SybIzuBCH798Pfsvfs+eFPjfrf7SXh34S6PaeOvEdktprfiaK3/ANJu4QIxtY5wMiGLJABbYMk4r5z/AOCiPwN+EHxK+Lml+L/Hvw907VdT8KeDnvPDt3dxsTYTm6J8xACFJyiEbgcFQRivzPM+HMVgMBUqyxLceZPl1s7ySTeu/V6fM/euIPE/LOK+KcDjaGGlho0aMYS5OXmbgnJxVml7O/uK70jq4v4D6p+Et54x1H4VeGdQ+Its0PiCfw/ZSa7C0YQx3jQIZlKjhSJCwwOBXQUUV+lxXLFI/Ca1RVasppJXbdlsr9F5IK8+/aR0gan4ItLg6YLg2Oqx3CvtJMB2SJvGPZyvPGGNeg0Vy4/CfXsFUw/Ny8yav2Kw9X2FaNS17O5y/wAFvCR8D/C3RvDLGXdBbF2E+N4aR2kIOAMYLkY9q6iiitqFJUKMaa+ykvuVjOcnObl3PyN/4OqPEfxYtfB3wn8K6fLep4Ivb/UZ9VESf6PLqcaRC2EjD+IRPcFVPXLkZxxJ/wAE4vjunin9iHwhp/x8/bGv7a4+xXGnyeHdS8dWdvGdMjleGCB4W+fyzAqrgkMV78g1+nvx1/Z9+C/7TXgCT4XfHr4d6f4n0CW6iuW03UkYoJoySkilSGVhkjII4YjoSK6TRvDXh7w9o9p4f0LRLW0sbC2jt7K0t4FSOCJFCoiqBgKqgAAdAK+Wx/DeLxmZVMTDEumpJKyvfRWtutOvzZ+qYnxDy6v4aYHhlYJe1oVZzdTSzT5mraN8z5rSvpaEd9o+e/sweFxpWgav4oDSf8TzUI5l3Y2FY4I4gyccg7evPtXp9AAAwBRX0WX4NYDBU8OnflVr9z8vxFZ4ivKpa1ypr2jWniHRbrQ77PlXUDRuV6jI6j3HWs74feB7TwB4fGh2121wzStLNOybd7HA6c4GAB+FblFaSwuHliViHH30mk/JkqrUVN009HrY5jwf8LtK8HeJdR8SWd48jXxIjiZABCpbcyg9/m/QD6109FFGGwuHwdL2dGPLG7dvNu7CrVqVpc03dhRRRXQZni3xG+Hx8R/tB6dKNMkiEl5pt7JdQKf3os5VmUsTkYDLtOMcMO5Br2miivPwOAWCqVpqV/aScvS6Wh0V8Q68YK1uVWCvzE/aO+MWveE/BPxj8Q+Ivite6F4+tfjYbTTZJrmCC6swuo26aTHCkvyrC+nJDKHIwUaaQnhiP07rg9W/Zf8A2fdd+PGn/tPax8JtHuPH2l6abDT/ABRJb5uYbciRSgOcZ2yyLuI3BXIzjiuPPcprZtRpwp1ORxknf+uq6H0HDGcZZlFWpLG0vaJpNJKLvKLuoS5tqc9p2u1o7StZ/LHhbxj8PfiD4pGj6N+0pL461R7WaHT7C48YW2oywo+BI0UUIDZIC5ODwBX2h4L0FPCvg7SfC8buy6bpkFqrSEFiI41TJxxnjtWgltbxtujt0U+qoBT6nJ8lqZXVqVKlZ1JTtq/K/m77njYzGxxUIxjBRUb7efyQVwnxx/Zj+AP7S1votp8efhTpHimPw7qi6joqarAXFrcgY3rgjIIxlTlWwMg4Fd3RXtzhCpFxmk12epz4XFYrBV1Xw9RwmtpRbi100as1poR/ZLUNuFtHnPXYKkooqzAK/OP/AIObfEnxY0X9hbRNL8Dy3sfh7VPGtvB4ye0TKNAsUkkCTMOVjM6IfQuqA84B/Ryuf+Knwr+Hfxu+H2qfCr4s+EbPXvDutW4h1TSb9C0VwgYMAcEEEMqsCCCCoIIIrhzLCTx2AqUIy5XJWv8A106PyPqOCs/w/C3FmDzavS9rCjNScdNUuqvpzLeN/tJH48/8EbPjxq6fshv4b+KP7X+q+F7XR/EdxZ+GNHbxraWKxWHlxyHZHKC+3z5JsE8dQOAK/Tn9kDwvokcV7458N3Cy6bdaPY2GmS20qyW8tvEZXRo3Gd4xKPmBIIxXp/w6+F/w9+EvgbSvhp8NvCFjo+g6JZJaaVplnCBHbwqOFGck+pJJJJJJJJNbqqqgKqgAdABXg5Zw1XwWLpV6uIc+RO0bOyuraXb0+XRHbxlxVhuJs9xuOw+HVKNeo5WVr2vfWy+J7y82xa8c/wCCg2uePfDf7F3xE1v4a3mo22qweHnJu9Hh8y7trUugupoR/wA9EtjM6kZIKgjkCvY6SSOOWNopUDKwIZWGQQexr6evTdahKmna6av2utz5fLsVDAZhRxMoKapzjJxe0lFp2e+jtZ6M/NfWvjf4M8O/tQaT4R8I/tRv4V8OyfC0XN+ukeKrO1t5SLuL+zG82TcXLQS3jKoOCm1+hBP0L+ytYeFPH/jrS/FvhH4gHxRDpOo3N7e67Fq0V8bi5a1ktyJpo8qWCTL8owQFXsDn2f4Efsvfs+fsx+Hr/wAKfAL4S6P4W07U9SfUL+10u32rNcMqqXO4k/dVQFHyqBwBXdxxRxDbFGqj0UYr4/AcKYnDToyq4ltQkpcqT5bp30u/xt3PezrO8txFVwwNJqHLyqUklOXeUlG6vd2S5nZJK7sOooor7U+UCvFv2mPh4PHPi7TtMGmSA6rpx09r23U+ZsMhLLk5UbQdwyO5J4Fe00V5+Z4BZlhHQcuVXTv6NM6MLiHhqvtEr7/igooor0DnCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArx/wDbN/bq/Zy/YI+H2n/En9o7xRfWNjq2qGw0y10jRrjULu5lWGSeVkgt0aQpFBDLNI+NqJGzEivYK+B/+C3Hhz4l6B4i+Df7R/g/4LeK/HukeD18a6Nrmh+C9Ek1K+SbW/DN3p9lN9njyxi+0lInfpGs+48A0AfdPhXxR4e8ceF9N8a+EdYg1HSdYsIb3S9QtX3RXNvKgkjlQ91ZGVgfQ1fryL/gn/8ACbxn8Bv2Fvg58E/iLHs1/wAJ/DDQtJ1uLeG8q7t7CGKWPI4IV1Zc99teu0AFcz8Zvi94G+AXwq1/4z/Eu/uLbQfDemyX2pzWljLcyiJBkiOKJWeRycBVUEkkAV01ch8fviBpXwr+Cfin4h63omtala6TolxPPYeHNGm1G+nAQjbBbQK0kznPCKCTQBF+zt8fPhz+1J8DvC/7Q/wivrq58M+L9Ii1LRJ72ze3leCT7peN/mQ8dDzXaV8i/wDBCnXtSvf+CWvwo8G+IPh94t8Max4P8Px6Drmk+MvC91pN0l3Aqs5SK5RGki/eDbKBtYhgDkHH11QAUkkiRRtLIwCqCWJ7ClpJHEcbSMCQoJIAyTQB4l+yV/wUK/Zj/bX8R+LfB3wM8Raw+reCpbb+29L8QeG7zS7j7PchzbXkUd1GjTW0wjkMcygq2047Z9ur4C/4JD/FnUP2nv2oPj3+1h8V/hB8RvB3jnxVeWOl6ZoPjH4e6hpFppHhXTpbmHTbeK5uYkju7mZpLi7n8skIbhEHCZP37QAUUUUAeI3X/BQr9mjT/wBsey/YW1LWddtfHepxTHS2uvC95Hpd9PDareS2kN+0Yt5bhLdllaJXLKp5weK9ur89vjPp3in4m/8ABdH4O+Kfhd8H/i5He+AbfWrL4h614l0q4/4QyPQptIcwXemyyFrcXsl3LDCXg2zFY5EkG1RX6E0AFFFFAHln7WH7ZfwC/Yq8J+HfGX7QHiqXTLTxX4xsPC+gpbWb3Et3qV45WGJUQE4+VmZuiqpJr1Ovy+/4OD/gl+2x8SfE3gL4gfAv9l5fib4U8Jy6M1nDaeJha3Wla5J4n0uV7j7KsEslwrW1oluZhtW2iubmVtyqy1+nenTXtxp8E+o2a29w8KtPbrLvETkAsobA3YORnAzigCaiiigDzT9rD9q74V/safCgfGL4vW2vXGmya1ZaTa2XhjQJ9Uv7u8u5hDBDDbW6tJK7uwUBQTzXU/CT4l6P8ZPhponxT8P6Jrem2Wu6el3bWHiTRptOv4EYcJPbTqskDjujgEV4V/wVh8IfCHxl+yh9k+OPg74u6x4fsfFemajIfgfa3EviGxuLeUy291CLb9+qpMseXh+dSVPChiNT/glMv7Saf8E7/hOv7XjayfiF/wAIwv8Abx8SNnUtvnSfZvtZ6/afs3kebnnzN+ec0AfQdFFFAFbWdY0rw9pF34g13UIbSxsbaS4vLu4kCxwxIpZ3ZjwFCgknsBXl37IP7bHwH/bk8CX3xJ/Z/v8AW7nSLK/Futzrfhq7037WjRrJFdW4uY0M9tKjBo5kyjjODwRV39tb4a+L/jP+xv8AFn4P/D4j+3vFXw013SNEy+0G7udPnhhGT0+d15r4/wD+Dejw1+0P4R+C3jfw98TdN+LNj4Lsbjw9aeCtO+MqzrqlrfRaHax63HAtx+8SwXUFdYFH7oKreX8mKAP0NooooAK+fPhH/wAFLv2efjJ+1lqn7FmieGviDpHjjTLHUb7yvFPw+1DTLO9tbK5S2nuLa5uI1juIvMkQLJGSrhgQTkV9B18ofs5+B/GfxG/4KofHz9pvxp4T1Sw0nwn4X8P/AA3+H91qWnywJewKj6tqlzbmRQJYmubu3h8xMqWsyM5U0AfV9FFFABXgXxq/4KYfskfs/ftQ+Gf2QfiX4z1O28Y+KH09LVbXw/dXFjZPfzyW9gl3dxoYrVrmaKSOISMC7KQK99r8oP8AgpH8G/jj4q/4LNfD/wAb+HfgT461eaPUPh23gHWdA0KSbwzLa2mtX82vvrsqjyvNtrWWOW0M53Ru+6H5iaAP1fooooA//9k=", "info": {"equation": "19*16=304", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "7b5c87f20fb85ff25714487e8856f99f77407f6d7d9a34c09cc9a9ad6e59e69f"} +{"episode": 51183, "episode_seed": 1719656693, "split": "train", "timestamp": "2025-10-28T03:47:45.467834", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1719656693, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 5, 4, 8])", "action": "('move', [3, 5, 4, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "12+3*5=27", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "12+3*5=27", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "5098e01c806c3a68bfb3304545ccf91b9d88a861bd8ac348e03fa2a76f31daff"} +{"episode": 51184, "episode_seed": 2810238035, "split": "train", "timestamp": "2025-10-28T03:47:45.537240", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2810238035, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 6, 1, 4])", "action": "('move', [2, 6, 1, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "360/18=20", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "360/18=20", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "dbe4b0e0d5e1a008ab31e656f67507e20a169b491dade2f455e8475ba3dd0dc0"} +{"episode": 51185, "episode_seed": 2077169998, "split": "train", "timestamp": "2025-10-28T03:47:45.576921", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2077169998, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 5, 0, 1])", "action": "('move', [4, 5, 0, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "9-6=3", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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N+v8ASQUUUV9UeUFeVftx6/8AHLwr+yL8QfEX7NVjdXHjuz8NzyeGobK0W4mNwMcxxsCHcLuIGDkgYBPFeq0VnVg6tKUE7XTV1ur9UdeAxMcFjqWIlBTUJRlyy1jKzT5ZLqnaz8j+QXxfr/izxT4r1LxL461a+vtbvr6WfVr3U5Xe5muGYmR5Wf5i5bOSec1+0H/BP79pjxb4v/ZM8K67+0J+3Dq2leJZIpkawk8dafZtFaJKy2wMO3KfuQn3vmPU81t+Ov2OP2W/G83xc+N3jD4HaHqXitfGfjSf+2byJ3cyQ398sTFC3lnaEUDK/wAIJya/RL4G2ttJ8FPB7yW8bMfC2nkkoCSfs0dfleRZPicZi8RTp4iVPkdm1f3tWtdV289z+jPFzxeyfjTI8FhsPl/I4vmcp8rcfdtyU2k/cd9W+W/LH3VY+F4fhp+x18aviHdeM/F/ivw78VPFJ0swtd+KvEVtrk1pYqVykULMY4Ig2CWWMHc5JbLnPXf8EkdX1Wy+LfxY+G3wd1e91D4FaC9gvgaXcJ9NstUdXa/s9PucsZbdP3TYDMqvI3IJIqT9uX9mL9n/APaH/bM+z/Gz4V6Z4iTSfhfpraat6ZF8gyalqIcjy3XOQi9c9OK9a/4Jq+EPC3w/+Efi3wR4I8P2mlaPpXxI1O207TbGERw28Sx2+FVR+JJ6kkkkkk13ZJgamG4rqUpVXJwTbf8ANdLfV979dUfmuL4hof6myw7lUqSqqMVCdvZ0lGXMpU/ek3Ky5V7tPljOa1TPomiiiv0o/MgrJ8d+HPBXi/wXqvhj4j6Tp9/oF9YSxazZ6tGj20tsVPmCUP8ALs25zngda1q/Mf8A4Ob/AIg/tQ+EP2dvCGgfCa41e1+HuuXl9b/Em90uH5C3+jfYre4lX5khkLXAK8I7Kqtn5VPBmeMjl+AqYiUeZRWy69Pu7+R9VwRw5W4t4rwmU0q6oyqyspy+zZOWneWloK6vJpXV7n1r+xj8Av8Agmt8M9c13X/2G9C+HDalLaQ2+v3vg7W4dRnigZmaON3WWRokdkY7cqHMQJzsGPf/ALFZ/wDPpF/37Ffygfsl/GH45/BP456N4n/Z6+IWp+G9eu51sGvdNvEh8y3lZVkjlMn7sxnhj5nyqVVuCoI/dCf44/DrzXEP/BQXUym47T/ws3T+nb+GvkMDxngaeHUZUHHyglb9D9K8X/DHMeEc9pOrmDxXto3UqjftVy2VpXctP5HfWzVvdu/vFIo4htjjVR6KMU6vmb4TfFrxN47udO1T4dfEhvFMSMlqLu11NLuGfYVDCV4iUznG9uCN3bNfTNfSZNnVLOYTlTg4qLtr1v8A1quh+MYzBTwTipSTv2CiiivaOIK/nH/4Lz/ED9p7xN+354o8J/Hy51iLQtFvJF+HenXkJitF0pyNk9uo+R/MK/PLyzMm1iNgVf6OK8d/bL+D37EHxX8F6Uf25NF8Ey6JYamf7GvfGmpRWSQ3TxtmOKd5IyC6IxMYbDCMEg7AR4XEOWTzXAeyjU5LO+uz9fz9T9V8H+OcLwFxX9er4R4hTi4e6k6kW9eanfq7crV1eLevR/ib/wAESf2hvi54d8ba18J9e/aX1jwf8NrXSJ75bVfEtvYwJqjywqnltOCQWQTEqnBIy3OCfv8A+Jetfsy/Gjw0fBHxt/a7Xxd4ee4Sa78Pa78T7Y2V2yZ2CZIWjMqqxDhWO3eqtjKjH25+zx8Ov2evh38INH8M/szaF4ctfBSRNLow8MyRzWcqsxLSJKhYSktnL7iSeprz/wD4KR+D/C3jH9kLXPCPijQba90zVPEXhu01CzmT5Z4JNe09HQ4wcFWI4IPPBr5urwxjcPlsm8ZJxjFvlV+XRXsve2+XyNuMePsLxRx1PNcPhfqt5xScbKonF253bl/edX7y1SXNpzHxj8QfAvw/+Cf7W3wi1r9jHwfpWi/FTUPF9pY61ovg3SbYfavC0jr/AGjJe26DbDCkQ3rMVQl14YlQK/Uevg79lb9l/wDZ7/Zz/a/8CS/A74SaR4ak1TS9eXUZ7CNzJOqQWxVWeRmbaCSdoIGecZr7xr0OCaTjlUp8zd5PTordvXqfO8cZvh8xxFChScpqlG3tKiSqTu72aUpWjDaEeeVld315YlFFFfYnwx+Uf/B0B4//AGnPDvw48FeEfA9zrFr8MdZ89fGM+nw4t571XQ20FxKvIUqHYRthWZQeSox+WP7CXxk+N3wb/aR8PXvwQ+J2p+FrjV9Rt7DWrzT9Qjt1k095kM6ytL+72hAWy/3SARg4r+pH4h/DvwN8WvBGp/Db4l+FLHXNB1m0a21TStRgEkNxE3VWU/gQRyCAQQQDXB/s8fsPfsl/sn3mpaj+zv8AAjQvC1zrESRaldWMLNLPGhJVC8jMwXJztBAJwSCQK+MzXhjFY/NfrUK/KtO942/l20+a3Z/RvBvjbknDPhtV4dr5aqlVqaT932dTnfxVb6txvbRO6jFXj0+YJvjh8Oy7rH/wUF1PbkhSPibp/T/vmuh8KfDLwN8Z/hhF8LPhpqkV54ev7b7FDfaBeJcpHGJAHYSjemQwOScgEkGvs/7FZ/8APpF/37FPSOONdsaBR6KMVnPhCvWnF18XKai76pv7rydj8OjnEIRahRSv/XYWiiivtzwwooooAKKKKACiiigAooooAK8p/bj1/wCOXhX9kX4g+Iv2arG6ufHdn4bnk8Mw2VotxMbgY5jjbIdwu4gYOSBgE8V6tRWdWDq0pQTtdNXW6v1R14DExwWOpYiUFNQlGXLLWMrNPlkuqdrPyPzh+Cnj79nix/Y3g1qb4xR3HhxtClXxR4h1rWIzfG+uozJdm7MjfLfPJMzGJ8MXkA28gVxn7DH7SOq+Jf2ZNA1X4yft1a3Yar5t1FaW154406xlGnxzulmXg2AxsbdYyQQD6ivuTxL/AME3v2FfGHxmf9oPxN+zB4VvPGEupx6jNrE1mcy3aYImeIN5TvlQxYqSzfMckk17SbO0JybWMn3QV8JhOD8fQlNrFuF39m9366rX7/U+5znifh6vhZQwmHlOdSanKVRQTp2Uvcg435k3JuUrQvyx9xWPiD4f+Kvhb4q8XXWo+H/jlB428RT6fHDNc3Him31G8SzidisYERG2JZJmP3fvS8nkCvpr9l74Yn4Z+BtS837Us2v+I7rWJ4rsANE82xdoGAQuIxgHJ5616MltbxHdHAin1VQKfXsZRw5LLMdLFVK7qSatqvTd3d9j4/F5ksTQVKMFFJ/10QUUUV9OeWFZ3i/wh4W8f+F9Q8E+N/D1nq2j6raPbalpuoQLLDcwuMMjowIYEHpWjRSaTVmVCc6c1ODs1qmt0+6PJf2eP2Ef2Qf2UNZ1HxH+zz8AtB8L6hq1qttf39lC7zSQq24RB5WZlQtglVIDFVJztXHq32Kz/wCfSL/v2KkoqKVKlQhyU4qK7JWX4HTjswx+Z4h4jGVZVajteU5OUnbRXbbei0Q1Io4htjjVR6KMU6iitDkCiiigAr+cf/gvP8QP2nvE37fnijwn8fLnWItC0W8kX4d6deQmK0XSnI2T26j5H8wr88vLMybWI2BV/o4rzv8AaJ/ZL/Zu/az0TT/Dv7Rvwf0fxZa6TdNcaYupxNvtZGXaxSRCrqGGNyg7W2qSCVUjw8/yqrm+C9jTnytO/k/J/n6n6j4ScfYDw74neY4zC+2hKDhdW54Xs+aF9Lu3K1dXi3r0f4X/APBEn9ob4ueHfG2tfCfXv2l9Y8H/AA2tdInvltV8S29jAmqPLCqeW04JBZBMSqcEjLc4J/RfUfir8FPEMUVh4z/bRHiCwju4LltK1r4i2MttLLDKs0LOi7S2yVI5Bz95FzkcH7T+EPwP+EfwD8AWXwt+Dfw90zw74f07d9k0vTrcLGhZizMc5LMSSSzEk9zXTfY7P/n1j/79ivCp8JY6OHVN42SVrWSdvNfEtPkZ8fce5fxfxVXzXD4KNKM7WWnM7ac0mlbne7te2iu7Xfz58Efhi/iP4w6L8TZxdIvhqyv44GVQIpWukjRgxI5IEYIAIxnmvoejAHQUV9Jk2VxyjBLDqXNq3e1t/LX8z88xmKeMr+0asFFFFeqcoUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAGZ4z8ZeFPh34S1Px7468QWmk6Lo1jLearqd9MI4bW3jUs8jseAoUEk18ufs3f8Fvf+CeH7U/xh0T4IfDP4oaza6x4sS4bwRc+JvCN/pdl4oEDESf2dc3MSR3WMHhDk4wMkgV2n/BVn9nv4kftW/8ABOX4xfs8fCAI/ibxV4Iu7PRYJJhGtxPgOsJY8KH27Mnj5ua/KP4c/DH9pX9s7X/+Cen7Mngv9jv4peBdW/Zf1CK6+Lnijxp4Nn0rTtJW0FkjJaXUoCXhlNo7KIiclos9SVAP3eooooAKKKKACiiigDyP9sr9uD9n39g74ZwfFX9obW9VttOvL02lhbaH4futSurqZYnmZUhto3bCxxyOzHCqqkkitj9lH9qT4Rfto/ALw9+0t8CNUvL3wp4nt3m0m5v7B7aV0WRoyWjcBl+ZD1+teY/8FYPjXpPwg/Yn8aaPefDzxz4lvvGnh/UvD2i2PgPwVe63cC8nsZ/LaWO0R2hhJXaZWAUFlGckCvC/+Dbn4i3tt/wTn8G/sveMvg78RvCPi34caKsfiK38b+ANQ0eB3uLq5dFtprqJFucKuW2Z27lzjIyAfoNRRRQAUUUUAFFFFAHyd+03/wAFp/2Fv2SPHOs+CPjDrfjaNPDV5FaeKPEWk/DjVrzR9GnkKhY7m+igMEbfOvG4/eHevpj4d/EPwR8W/Aej/E/4aeJ7TWvD/iDTob/RtWsJd8N3bSoHjkQ+hUg88jocGvyf/wCC0/7Znx1/aV+NOqf8EvdL+Afxl8HfBOQJH8Xfi54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"info": {"equation": "9-6=3", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "c523cde5d7a3a94420bd2f88de6aa7bd3b7d982b31863311e2646132dd8cdd38"} +{"episode": 51186, "episode_seed": 4280577637, "split": "train", "timestamp": "2025-10-28T03:47:45.649963", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4280577637, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 5, 2, 7])", "action": "('move', [6, 5, 2, 7])", "reward": 0.0, "image": 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rXIkCc7eQzckEjJxivqyO3t4m3RQIp9VUCviKeQ1swx+K/wBolGKqax3T2lrqlpey0ex+j8Y8eYLPMmyfDUcIoSwuHVNy095rS6sr205tbPmnL1b6D04oor9APyY/P79jn4i+MtV+JnwSs28VX954p1XUPEb/ABKsp442njIt7p9Q+1IObcRan9kiXGACyJ0YCvha38aftJXP/ByjHfXf9qSa9F8YW05IZLUFk8OYaLhCMCH+zCX3D+El+pzX6c/s9fB34X+Ev27PFPxZ8OeCLKz8S+JbjxBFrusxK3nXkcV3bCNWJJAAAHCgZwCckCl1n4PfC9/+CkUHxxfwRZN4uj1qDTI9fZWM6Wh0J2MQ52gEk8gZwSM4OK/OKODnHAUY+0emJt+Nr/hf1bP3PJePslyTMcxqU8FzRxODqU0moq06jc7NLT2a5uTTWUYRdo/CvrCvE/8AgpBr/wAT/C37B3xY8Q/BqS8TxJaeCL6TTpdPTdPF+7PmSRjrvWLewI5BGRyBXtlNliiniaCeNXR1KujjIYHqCO4r9Cr03Woypp2umr9rrc/GssxkcvzKhipQU1TnGTi9pcsk+V+TtZn4Ef8ABCr4xa14W0zx/wCCvE37SupeCPDEclpe2FnD4ot9Oimv5N6SuBMCXby4owdvACrntX7Q/sqeM9R8b+HbnWYPGDeINJeKEWWsfbVuVuGAKsyyp8r52jcV4z6Zrovgd+zh8Cv2avB0vw/+BHwv0rwxo0+oS302n6ZBtR7iQKHkOSSSQqjrwFAGAAK7VESNdiKFA6ADFfL5Rw5i8vrU6lTEuSjf3NeXVNd/PsfbeI3GmB404nxeZYbDeyjVcbXtze7GKvK2l3y3er33YtFFFfWn52fJ3/BcDxB8UPDX/BMT4n6h8KJbyO9ksLa31KWwTdImmy3UUd505CGBpA5HRCx4GTXzp/wa3ar8Rbv9krx5pWvRXH/CNWnjhT4dklgAQzPbIbpUbqwBEBI6AsfU1+gn7TWnWOsfs4+PtI1S1We1u/BupwXMD/dkje1kVlPsQSPxrgP+Cfvwv+Hnwa+Fev8Aw6+FnhGz0PQ7DxfL9k02xUiOMvZ2bsfmJJJZmJJJPNfOV6LfFFGpzP8Ahy06aP8A+2/BH6XgeL8JhvCrF8OPDJ1KmIhUVTTRKK073XLZdOWctuvu9fip/wAHUniH4oj4x/CzwxcyXieDF8NXV3p4EeIJNU+0FJzuH3pFhFtwfuiTj77V+1dcV8af2cvgb+0XaaNYfHD4Y6V4mh8PazHqujR6pCXFrdxghZFwRng8qcq3cHAruzrL6maZdLDwlyt216aO+pw+GnF+E4G4woZxiaHtYU1NOKtf3ouKcb6Jq/3XPgD4Q+IfhX+0Z8D/AIe6T+05+0HbeO9Wm0Kw1DUvCHijxhZXNt/af2P94z2aYDMm+UhWyEOTjKgj7A/4JsTXsn7F3g6B5biTTrX7fa+GJbmII0miQ39xFpjDHDIbJLYo/wDEm1snOaZ+398JPhp8ZPhJovw9+KHgyz1rRb7xfam8066DBJSkNw65KFW4ZQeD2ruv2WrGy0r9nDwPpemWkdvbWvhizhtreFAqRRpEqqigdAAAAOwFeHk2XVsvz2rCpWdR+zWr85er2t+JzZtnlDMMgdOEHDnrOagrckElLSGv2nPVcsUlCOsr+73tc78WYNMn+HeqjVmxEtsWVgoJEgI2Yz33Y/Ouirxj9sL4kXnh3wbL4f8ADdo13qexZILRek1w7eXbRZwcbpmTJxwOeRXuZ3iYYbK6rkr3XKl3ctEj5bA05VcVFLSzvfslqcb+xLrvhrxl8a/iFq7xk6lo9tZ6VpTyxx4ayWSb7RJCwcswa8SSKQFVwbWLr1r6Zr5l8IfB+6/Zw+MXgO08PXXnQWemtpmrzzSRq17b3Sq08pbyxl/tsUc2Bs+Vn7kKfpquPhqSp5e8LJWnSbjJfO6fzTNszXNiPap3U0mv8vkQ6g1ylhO9kuZhCxhGOrYOP1r+c7/gmd8YvjFpP/BSLxFr3xY+MmreD9T19dZHxF1afVYdPna4DtI0Uskwwh+1rGNg5yNo4zX9G9eZfCj4WfsneFvjL4/8X/B3QvCUfjnWbu2f4jS6PdRS33nFXaH7VGrEwswLsAQu85Y7jzTzzKK2aVKLp1vZuDfrqumq1Vu+zZ93wPxrheGOHs5wNXB+2eLpRgpWVoWk1eV07L37r+/GC63Xxr4f0X4PD9or4a/GL4N+K7PxT8QtW+KVtbXviuDVINU1LULNrNotQhnmUnEEWnqG2gAReXEQAWy36L18o2nwZ+FVp/wUmm+N1t4EsE8Wz65/ZsuvBD55tB4bDCLrtAyByADxjOK+rqw4Xw08LRxEJTcmqsld9bW1679T5viXMqeYU8HGLk+Skk3LdXbfJHV+5DaO3V2jeyjvLW0vrSWy1C2jmgmjZJ4ZkDI6EYKsDwQRkEGvOf2Wvhn+yv8ADb4TQ+Hf2RtI8Kw+Dmv7iaE+FLyO6tHuS+Jm81HcM4Zdp+YkbQvAAA4n/gql4g+KHhb/AIJ3fFzXvg3JeJr9v4QnMEunx7porcsq3UidwVtzM24crjcOQK/JP/ghb8Zda8N+C/H3gjxb+05qXgnw1a31ndaNYReK7bT4pLyVZFuXUTAljsit844GB3NVnGfYfKMdThUpOV4t3VrrXZX9Ndex9NkHA+Lzjw5zDPaeL5IUatOLpXdp7Lmava69p7mj059j961VUUIigAdABS15b+y34w1Lxt4ZudbHiptc0yUQtp+rfa1uEuPlIZkkX5XBwpJXjJNepV7GXY2GY4OOIjFpSvo99G1+h+cYmg8NWdNu9j83/wDg501/4n6T+wxoGleEJLxPD+p+ObeHxa1smUaJYZZLdJSOiGdEYdi6J3wD4d/wTQ8f+D/H/wCwBoPw0/aF/aamg0yWS800+Cb/AMbWtnaz6YsxVLeSDKyGJ/nUqWG9SRyp5/S/9u74f+DPip+znffDz4h+HYNW0TVdc0mHUdNud3lzx/2hA21tpB6qDwR0rjdJ+HXgS0/4Jr6x8NbXwnZR6AnhjWNMTSo4sRLZ/aLiLyQByF8v5eucd6+RznLa2MzupyVnD91zadUm1y7rR7/ofqmD44wdLw2wuQ/VrVaeKdT2qtdJx0a2fOr23Xuxjr2qf8E1bKx8O/8AC1PAvgO1jt/A+i+O0j8OWVnAiWVldSWVvLqNvbbOBGt07syDhJZJVAGCo+n68P8A2Bvhv4D+EXwf1T4dfDLwraaJoemeKrpLDTLJSI4Q0ULtjJJJLMzEkkkk17hX0mQRcMlw6vf3V+Ov4bHwHEuMp47PK1aF7XSu/ilypR5pWb96duaWr95vV7v8RP8Ag6J8Y/F/S/2pvhjpqajqNp4Y07wk2oeHJYcxxLqv2xxcyI46yqiWfuoKkY3HP1n+z98WtL+I3g/wS/jn9qO48WeLbrQrO5ufD9/4ws7pl1J7MeeUtoQG8xd8wwM7QW4449d/4KafBz4XfF6LwsPid4GsdbGhaRrmpaQt8rEW13GtpslABAJGejZB7g19R2Fvbi1hlECBvLU7ggz0r5mvkdbM84xcI4iUF7l1unzR2eq0Vj7zO+OsDjuBsmyqGESnhVVTnprzSTXLpdX3nfeWpmfDXw4vg/4d6D4TRpCNM0a2tQZcbj5cSpzgAZ4rboor7qnBU4KK6Kx+USfNJs/OT9tD4t674N1748avrvxPvNB8T6Z4v0G38HySXMMMtramGwewNsJflMb3DXxMhB+ZbjJ/dHb6/wDAz4w2WueN08P/AA//AGnLnxtdyXMUp0+Xxdbai0cavtLbIcFUIfDE8dOhAr6G8Ufs4fAvxr8ZdA/aF8V/C/Sr/wAa+F7OW00DxHcQZuLKGQOGRTnGMSSYyDt3tjGTXZx29vE26KBFPqqgV8hLhjGSxlSssVKMZT5rK+qvfXVa9Nnol6H1+ZcQZXiMHh6dDD+/GNptqK97lhC0bXvH3Oe7s7zkrac0n0HpxRRX2R8eflrpPxxvdE0j4Ny+Jv2hdR8L+J9a1/XB8Qbp9YtbG7Ewhu5NQiuDLnyBHqC28YQAYwijjivp79luPwj8R/iHY+IvCvxSfxgdM1SS91LWl1uHUJGm+yPAiTSxfKMI6gLwcAfj7r4O/Zt+BHw/+Kvib44eDPhbpOneLPGQiHibXLeDE1+Ixhd+TgdATtA3EAtkjNdrHFFECIolUHqFXFfF4PhTE0K8J1MS3GM+bls7Ozunvu+rsfY8QcQ5bmFdyweH5FKLu2kneUpSatH7MebkjqrxinaN+VOooor7Q+OCiiigAooooAxPiTpY1v4fa3ozaet2t3pU8L2rA4lVoypXjnkE9K5f9mvwy+geCL3UJBKG1jV3vSsoxj9zFCMcdCIQefU9sV6HRXDPAqeYwxfN8MXG3q07/gbqu44Z0bbtO/oFFFFdxgcD+0bpf9o+BIJxpouDZ6pFOh2kmEhXXeMf723nsxre+FHhgeC/hnoPhQNIf7P0qCE+djfkIOuAOa6CiuGGBUMxni+bWUVG3azb/U3lXcsMqNtm3f1Cuc1H4baXqPxAtPH8t04ltodptwg2uwyFbPUYBPHsPQ56Oit6+GoYlRVWN7NSXqtmZ06tSk24u11b5M5zxh8N9L8Ya/pev3l08babLuaNVBEyghgpPb5gOfQke46OiiilhqFGrOpCNpTabfeysvwCVWpOKjJ6LYh1BrlLCd7JczCFjCMdWwcfrX86X/BMz42fGzRv+CjPiXUfir8bda8HXviNtXb4k6hNrEWnySXSNJJsmaYbVcXW0BQMjJUYUsK/ozriPAf7N3wJ+GHxF8VfFvwB8LdJ0rxJ42njm8Vaxa2+JtRkj3bWckkA5ZidoG4nJyea8fO8nr5rOjKlVdPkb1V76rdWa1077Nn6NwTxzgeFcgzjL6+FVaWNpxhFu3utN736WlzK324R9V4l+ylH4U+IXxBsvFnhX4mN4uGl3893qGuLrMN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", "info": {"equation": "20+14*3=62", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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NRW0VKTfKvJXsj+f7/grt8Vf2hvCn/BbeTxEvi/VtEvNA1HRLfwLqKSrB9k06SGLc0Lt8gjaWa63MflJaQNwCK/SXwVqfgP4y+I5fB+h/tEz+OtQu7V7ZI5PFltqM9lbSOgkeNYh8ikiPcxBHyL+PW/tNfBz4W+K/24fCPxa8S+BrC+8SeHY/DUGh6xcIzS2UcurXIkCc7eQzckEjJxivqyO3t4m3RQIp9VUCviKeQ1swx+K/2iUYqprHdPaWuqWl7LR7H6Pxjx5gs8ybJ8NRwihLC4dU3LT3mtLqyvbTm1s+acvVvoPTiiiv0A/Jj8/v2OfiL4y1X4mfBKzbxVf3ninVdQ8Rv8SrKeONp4yLe6fUPtSDm3EWp/ZIlxgAsidGAr4Wt/Gn7SVz/wAHKMd9d/2pJr0XxhbTkhktQWTw5houEIwIf7MJfcP4SX6nNfpz+z18Hfhf4S/bs8U/Fnw54IsrPxL4luPEEWu6zEredeRxXdsI1YkkAAAcKBnAJyQKXWfg98L3/wCCkUHxxfwRZN4uj1qDTI9fZWM6Wh0J2MQ52gEk8gZwSM4OK/OKODnHAUY+0emJt+Nr/hf1bP3PJePslyTMcxqU8FzRxODqU0moq06jc7NLT2a5uTTWUYRdo/CvrCvE/wDgpBr/AMT/AAt+wd8WPEPwakvE8SWngi+k06XT03Txfuz5kkY671i3sCOQRkcgV7ZTZYop4mgnjV0dSro4yGB6gjuK/Qq9N1qMqadrpq/a63PxrLMZHL8yoYqUFNU5xk4vaXLJPlfk7WZ/Pj/wRI8Y+OJ7P4qeBbrxHdf8IzZeBr/ULXT2mXyre+lEMck6g8qzRxRgnpiNc9BX7a/smeNNS8c+Fpdai8Yt4h0p7e3+xayb1blbhgpVmWVPlcnaNxXjPpmvH/j1+zr8EP2ZfBll8P8A4B/DTTPC2jT6D4lvptP0qIqj3Ei2IeQ5JJJCqOvAUAYAAr63s0RLSJUUKBGMADA6V8NkGS18Hm04yrP91y3SvaXNF26/Z6afcff+JXF+C4xz6vmuGw/s4V3onbmXIoxu7aXla7s+u73JKKKK++PzI+Tv+C4HiD4oeGv+CYnxP1D4US3kd7JYW1vqUtgm6RNNluoo7zpyEMDSByOiFjwMmvnT/g1u1X4i3f7JXjzSteiuP+EatPHCnw7JLAAhme2Q3So3VgCICR0BY+pr9BP2mtOsdY/Zx8faRqlqs9rd+DdTguYH+7JG9rIrKfYgkfjXAf8ABP34X/Dz4NfCvX/h18LPCNnoeh2Hi+X7JptipEcZezs3Y/MSSSzMSSSea+cr0W+KKNTmf8OWnTR//bfgj9LwPF+Ew3hVi+HHhk6lTEQqKppolFad7rlsunLOW3X3evxU/wCDqTxD8UR8Y/hZ4YuZLxPBi+Grq708CPEEmqfaCk53D70iwi24P3RJx99q/auuK+NP7OXwN/aLtNGsPjh8MdK8TQ+HtZj1XRo9UhLi1u4wQsi4IzweVOVbuDgV3Z1l9TNMulh4S5W7a9NHfU4fDTi/CcDcYUM4xND2sKamnFWv70XFON9E1f7rnwB8IfEPwr/aM+B/w90n9pz9oO28d6tNoVhqGpeEPFHjCyubb+0/sf7xns0wGZN8pCtkIcnGVBH2B/wTYmvZP2LvB0Dy3EmnWv2+18MS3MQRpNEhv7iLTGGOGQ2SWxR/4k2tk5zTP2/vhJ8NPjJ8JNF+HvxQ8GWetaLfeL7U3mnXQYJKUhuHXJQq3DKDwe1d1+y1Y2Wlfs4eB9L0y0jt7a18MWcNtbwoFSKNIlVUUDoAAAB2Arw8my6tl+e1YVKzqP2a1fnL1e1vxObNs8oZhkDpwg4c9ZzUFbkgkpaQ1+056rlikoR1lf3e9rnfizBpk/w71Uas2IltiysFBIkBGzGe+7H510VeMfthfEi88O+DZfD/AIbtGu9T2LJBaL0muHby7aLODjdMyZOOBzyK9zO8TDDZXVcle65Uu7lokfLYGnKriopaWd79ktTjf2Jdd8NeMvjX8QtXeMnUtHtrPStKeWOPDWSyTfaJIWDlmDXiSRSAquDaxdetfTNfMvhD4P3X7OHxi8B2nh6686Cz01tM1eeaSNWvbe6VWnlLeWMv9tijmwNnys/chT9NVx8NSVPL3hZK06TcZL53T+aZtma5sR7VO6mk1/l8iHUGuUsJ3slzMIWMIx1bBx+tfzpf8EzPjZ8bNG/4KM+JdR+Kvxt1rwde+I21dviTqE2sRafJJdI0kmyZphtVxdbQFAyMlRhSwr+jOvMvhR8LP2TvC3xl8f8Ai/4O6F4Sj8c6zd2z/EaXR7qKW+84q7Q/ao1YmFmBdgCF3nLHceaeeZRWzSpRdOt7Nxb231XTVaq3fZs+74H41wvDHD2c4Gtg/bPF0owUrK0LSavK6dl791/fjBdbr418P6L8Hh+0V8NfjF8G/Fdn4p+IWrfFK2tr3xXBqkGqalqFm1m0WoQzzKTiCLT1DbQAIvLiIALZb9F6+UbT4M/Cq0/4KTTfG628CWCeLZ9c/s2XXgh882g8NhhF12gZA5AB4xnFfV1YcL4aeFo4iEpuTVWSu+tra9d+p83xLmVPMKeDjFyfJSSblurtvkjq/chtHbq7RvZR3lraX1pLZahbRzQTRsk8MyBkdCMFWB4IIyCDXnP7LXwz/ZX+G3wmh8O/sjaR4Vh8HNf3E0J8KXkd1aPcl8TN5qO4Zwy7T8xI2heAABxP/BVLxB8UPC3/AATu+LmvfBuS8TX7fwhOYJdPj3TRW5ZVupE7grbmZtw5XG4cgV+Sf/BC34y614b8F+PvBHi39pzUvBPhq1vrO60awi8V22nxSXkqyLcuomBLHZFb5xwMDuarOM+w+UY6nCpScrxburXWuyv6a69j6bIOB8XnHhzmGe08XyQo1acXSu7T2XM1e117T3NHpz7H71qqooRFAA6AClry39lvxhqXjbwzc62PFTa5pkohbT9W+1rcJcfKQzJIvyuDhSSvGSa9Sr2MuxsMxwccRGLSlfR76Nr9D84xNB4as6bd7H5v/wDBzpr/AMT9J/YY0DSvCEl4nh/U/HNvD4ta2TKNEsMslukpHRDOiMOxdE74B8O/4JoeP/B/j/8AYA0H4aftC/tNTQaZLJeaafBN/wCNrWztZ9MWYqlvJBlZDE/zqVLDepI5U8/pf+3d8P8AwZ8VP2c774efEPw7Bq2iarrmkw6jptzu8ueP+0IG2ttIPVQeCOlcbpPw68CWn/BNfWPhra+E7KPQE8MaxpiaVHFiJbP7RcReSAOQvl/L1zjvXyOc5bWxmd1OSs4fuubTqk2uXdaPf9D9UwfHGDpeG2FyH6tarTxTqe1VrpOOjWz51e2692Mde1T/AIJq2Vj4d/4Wp4F8B2sdv4H0Xx2kfhyys4ESysrqSyt5dRt7bZwI1undmQcJLJKoAwVH0/Xh/wCwN8N/Afwi+D+qfDr4ZeFbTRND0zxVdJYaZZKRHCGihdsZJJJZmYkkkkmvcK+kyCLhkuHV7+6vx1/DY+A4lxlPHZ5WrQva6V38UuVKPNKzfvTtzS1fvN6vd/iJ/wAHRPjH4v6X+1N8MdNTUdRtPDGneEm1Dw5LDmOJdV+2OLmRHHWVUSz91BUjG45+s/2fvi1pfxG8H+CX8c/tR3HizxbdaFZ3Nz4fv/GFndMupPZjzyltCA3mLvmGBnaC3HHHrv8AwU0+Dnwu+L0XhYfE7wNY62NC0jXNS0hb5WItruNbTZKACASM9GyD3Br6jsLe3FrDKIEDeWp3BBnpXzNfI62Z5xi4RxEoL3LrdPmjs9VorH3md8dYHHcDZNlUMIlPCqqnPTXmkmuXS6vvO+8tTM+GvhxfB/w70HwmjSEaZo1tagy43Hy4lTnAAzxW3RRX3VOCpwUV0Vj8ok+aTZ+cn7aHxb13wbr3x41fXfifeaD4n0zxfoNv4PkkuYYZbW1MNg9gbYS/KY3uGviZCD8y3GT+6O31/wCBnxhstc8bp4f+H/7Tlz42u5LmKU6fL4uttRaONX2ltkOCqEPhieOnQgV9DeKP2cPgX41+MugftC+K/hfpV/418L2ctpoHiO4gzcWUMgcMinOMYkkxkHbvbGMmuzjt7eJt0UCKfVVAr5CXDGMljKlZYqUYynzWV9Ve+uq16bPRL0Pr8y4gyvEYPD06GH9+MbTbUV73LCFo2vePuc93Z3nJW05pPoPTiiivsj48/LXSfjje6JpHwbl8TftC6j4X8T61r+uD4g3T6xa2N2JhDdyahFcGXPkCPUFt4wgAxhFHHFfT37LcfhH4j/EOx8ReFfik/jA6Zqkl7qWtLrcOoSNN9keBEmli+UYR1AXg4A/H3Xwd+zb8CPh/8VfE3xw8GfC3SdO8WeMhEPE2uW8GJr8RjC78nA6AnaBuIBbJGa7WOKKIERRKoPUKuK+LwfCmJoV4TqYluMZ83LZ2dndPfd9XY+x4g4hy3MK7lg8PyKUXdtJO8pSk1aP2Y83JHVXjFO0b8qdRRRX2h8ceR/tUeCT42g0nTBpzubqK708XUCkyRC4EYZR1AzsB5HVPrXrcaCONYweFAAzS0VwYfAqhja2I5r+05dO3Krfib1K7qUIU7fDf53YUUUV3mBifEnSxrfw+1vRm09btbvSp4XtWBxKrRlSvHPIJ6Vy/7Nfhl9A8EXuoSCUNrGrvelZRjH7mKEY46EQg8+p7Yr0OiuGeBU8xhi+b4YuNvVp3/A3Vdxwzo23ad/QKKKK7jA4H9o3S/wC0fAkE400XBs9UinQ7STCQrrvGP97bz2Y1vfCjwwPBfwz0HwoGkP8AZ+lQQnzsb8hB1wBzXQUVwwwKhmM8Xzayio27Wbf6m8q7lhlRts27+oVzmo/DbS9R+IFp4/lunEttDtNuEG12GQrZ6jAJ49h6HPR0VvXw1DEqKqxvZqS9VszOnVqUm3F2urfJnOeMPhvpfjDX9L1+8unjbTZdzRqoImUEMFJ7fMBz6Ej3HR0UUUsNQo1Z1IRtKbTb72Vl+ASq1JxUZPRbEOoNcpYTvZLmYQsYRjq2Dj9a/nS/4JmfGz42aN/wUZ8S6j8VfjbrXg698Rtq7fEnUJtYi0+SS6RpJNkzTDari62gKBkZKjClhX9GdcR4D/Zu+BPww+Ivir4t+APhbpOleJPG08c3irWLW3xNqMke7azkkgHLMTtA3E5OTzXj53k9fNZ0ZUqrp8jeqvfVbqzWunfZs/RuCeOcDwrkGcZfXwqrSxtOMIt291pve/S0uZW+3CPqvEv2Uo/CnxC+INl4s8K/ExvFw0u/nu9Q1xdZhv3luDZtbBJpYvlyI5EAXg4RffP1JTY4oohtijVR6KMU6urKMslleGlSlUc25OTb3u7eb7dz4HGYpYuqpKPKkrWI7u0tb+1lsL62jmgnjaOaGVAySIRgqwPBBBwQa4/4Ifs7fBD9m3wKnwz+Bfw00vw1oSXct0NN06EhDNIQXkJYkknAGSeigDgAV2lFem4Qc1JrVdeupnHE4mGHlQjNqEmm43fK3G9m1s2ruze13bcRVVFCIoAHQAUtFFUYHzj/AMFAPEGtaPrnwksLjVriy8N3/jySPWpIyqwzXS6fctYQTOfuo1yFKj+KVIl5JAPzB8E/jl4E8T6T4m07xT+2DKukf8J9rNtpPh+48a2Nvaz6eLtgsfkjDPCzmUA5y64OSCDX6E/Fz4QfDP49fDvUvhN8YfBll4g8OavGialpN+hMU4R1kXOCCCrorAgggqCKveD/AAL4O8AeFNM8DeC/DVnpukaNYQ2Wl6fawBY7a3iQJHGg7BVUAfSvlMz4dxWPzGWIhiHTTilpe/putOvqfW0c9yylkFPDOhetF2u1Hl5eaUua/wAXO3LlellGK1d7R5f9nHww/hzwFNdSiUPq2qS3zLKMY3KiDAwOCIwefX0xXfUUV9DgsMsHg6dBO/Ikr97I+Xr1XWrSqNWu7nxb+3N45tvD/wC0Z4mtvib4yn0nw9ZfBF7rQDPIkcGWuboanNEW4kmRY9NBHO0PHx+855b9mD9oC88Q+DfCMmrfteah4g8W6t4ZszqOg3PjKzuJGvWt45JgtvCAwdXD/KvQBhjFfY3xh/Zx+Bn7QF14evfjP8MdK8Ry+FNZTVfDr6lCXNldoQRIuCM9Fypyp2jIOBXZLa2yNvS3QEdCEGa+ZxfDOMxWOrV44pwU7aK/a1nqtunkfV18/wAreVUKNPD3qxS5m1FJcqsuRq7974p3t7219yHRnvZdHtJdSXbcNbRmdfR9o3frmrNFFfXRjyxSvex8g3d3CiiiqEFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFeN/Hb9vb9mL9m/wCO/gP9nD4teOZ7DxV8RrgReH7aHS55oY98yW8L3U0alLVJbiRII2lKiSVggya9kr8zv+CqvwT+N/jH9v7w7pngT4PeKNesfin4c8BaJpfiXR9Jeew8P3Gg+OU1u/kvpl+W0T7ExkjZ8CR4ii5bAoA/TGiiigAry7wB+2J8DfiZ+0742/ZD8IazqE/jT4faVZah4mtpdInitoobrPleXO6hJjx8wQnaeCcggeo18XeB/itHd/8ABdLxv4cX4WfEGK0k+Buj6BF4pufAl/Hoct/bX1/qEsaaiY/s7gQXkABDYMm+MfMhFAH2jRRRQAyeeK1ge5uJAscaFnY9AAMk15D+yN+3Z+zt+27Z+J7j4D69q00/g/Vo7DX9O17w9daZd27SxCa3m8m6jRzDNEwkikA2uvIr164mW3t3uHRmEaFiqLkkAZwAOp9q+If+CN3xO1D9ofxN8dP2pPiL8LfH/hDx1498cW02q6D418CX2jRaXo1pFLZ6PZW8l1Ei3rrbQPPPLHkLLeFeAFyAfcNFFFAHM/GT4teEfgT8L9a+Lvjsag2k6DZG5u4tI0ua+u5RkKscNvArSTSMzKqoilmZgAKx/wBmP9pb4S/te/BPR/2gPgjrF1e+HdbNwls1/p8tpcQzQTyW88E0Eqq8Usc0UkbIwBDIaj/av8V6H4L/AGb/ABnr3ijwz411fSxoU1vqdl8OLeeXXfs0+IJZbJbZlm86NJGlUwnzV8vKZYAHxX/gil4G8ffDj/gnR4N8KePvB2vaCY9X16fQNO8WWX2fWBo82sXk2nyaghAYXj2rwySlxvLuS/zFqAPqyiiigDzj9rX9q/4J/sR/ADXv2mP2hvEkuleE/DiwHUbq3tHuJS008cESRxIC0jtJIihQM856CvQrK7g1Czhv7YkxzxLJGSMEqwyP0Nfn/wD8HGPwY/ak+Nn7GA0X9nz4E/8ACxNK0u01q/8AFGgW2sC2u0k/sqe3srqCERSvfPDJcSTLaooaSSOLDKV5+5vhVdeKL74X+G73xv4aTRdam0GzfV9HivRcrY3RhQywCYKolCPuXeFXdtzgZxQBv0UUUAeO/Ez9uD4O/Cz9qHwx+yHrHh/xnqPi/wAVabBqFq3h7wZe39hYWs1xLbxzXt1CjR2cZkhkG6UqPl617FXwD/wUO8JeMf8Ah5b8CfHH7PnhT40w/EeXXPD9hquueHYJx4MuPB8eoXkur2+qSJ+5MqQyyMiTfNvkgMWTvx9/UAFFFFAHk3gv9tf4A/EL9qPxL+yB4Q1zU73xh4RsVn154tBuf7Nt5CkMjWn27Z9na6WK4gkaAPvVJVYjrj1mvzF/YZ+DH7Uvwf8A+C1vxdilsfidb+Edf8SeLfEHiuXVTP8A8IheWF6ujSaFJYbv3LX4kGoxzFP3gSHa/wAojr9OqACq+r6nDouk3WsXMM8kdpbvNJHbQtJIyqpYhEUEuxxwo5J4FWKKAPEf2N/2/PgZ+3HL4usvhDovjTS77wPf2tn4k0rxx4LvNEu7WW4hM8IMN2iOd0eH6dGU9GGfbq+Yf+CXXgzxd/wg/wAUv2h/iJ4W1PSNb+Lnxr8Q+IBY61YyW13DpdvOulaYkkcoDoDY6dbyKCBxLkcEV9PUAFcT+0b+0L8Lv2VPgtrvx++M2r3Fl4c8PQRyX0tnYyXU7tJKkMUUUMQZ5ZZJZI40RQSzOoHWu2r5k/4LF+EvGnjn/gnP8QvC/gfwXrPiCa4bSW1PS/Ddk1xqjaWmrWcmoSWMagsbyO0W4khKfOJY0KfMFoA9h/Zs/aM+Fn7WXwW0X4+fBjVrq88Pa6s4tWv9PltLiGWGeS3ngmglVXhljmikjdGAKshFd1Xy/wD8EbvCXi/wR/wTz8F+HfF/grXfD4j1PXZdE07xXZNb6v8A2TLrN7Lp82oI4Di8ltHglmMn7xpJGZ/mLV9QUAFeO/tift4/s0/sIeHNB8UftI+MrrSrbxHqzWGmLYaTPeyHZE009w6QIzR28EStJLMwCRoMsRkV7FX54/8ABxD8BPHnxi/Z/wDDN98F0+IJ8eMmv+FvDkPgfwKNdhv49c0uSxuLG+y6/wBnwTLsH285WDYSRlloA/Qu3uILu3S7tZkkilQPHJGwKupGQQR1BFPrA+FXha+8DfC/w34J1S5Wa50fQLOxuJlORJJFAkbMCfUqTW/QB//Z", 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", "info": {"equation": "20+14*3=62", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "e4d578bd4bfd8700a16cb79bc6740741778cd9ae689e0348f788617cff0f8088"} +{"episode": 51187, "episode_seed": 4189958350, "split": "train", "timestamp": "2025-10-28T03:47:45.712180", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4189958350, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [5, 1, 2, 7])", "action": "('move', [5, 1, 2, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "10+3*6=28", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "10+3*6=28", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "80c2276710c71925cc9db992cff1a40f6361c864234bb75770a2730f67e16653"} +{"episode": 51188, "episode_seed": 766925246, "split": "train", "timestamp": "2025-10-28T03:47:45.759108", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 766925246, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 7, 4, 5])", "action": "('move', [2, 7, 4, 5])", "reward": 0.0, "image": 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nJELleu04/Kvra9J1qE6aduZNXW6urXXofL5XjI5dmdDFypqoqc4ycXtLlknyvfR2s9HofAej+O4NN/aC/Z78Nfs3eLEvmudaeObT9Hlhu4pvCf2CRLi4mOWKQq8VqFmBAMgCgs3yn5K/4OmPFnxyPxv+HvgbUJNRj+G//CMm+0tBFttJ9a8+eO4JYfflSA24Ab7izNt++1fXX/BOn9nH4FfBb4teAPF/wq+F+l6HqniTwBdya5f2aOZbxvJsZDuLscDe7NtXAyRxwMeyf8FJPg78L/jroXw9+H/xf8FWev6LJ4xnnfT70uEMqaVfFHyjKQQSe9fm+Dwsp8G1nzv4m/utp6Pf1P2HhnjPIuEfELBY+lhnVpUoyi3JRVRufM+dJNxUoX5Y+9qk9Y81o+Cf8G0ev/GLV/2BbzTfiFDeDw7pvi+7h8Cy3VsEV7MhZJxE2MyILp5+TnDb1B+XA/RCvGP2BfC3hvwN+zfaeDPB2iW+m6TpXiXXbXTdPtI9kVvCmq3QVFHYAD6nqck17PX3WSwdPKKEW7+5H8Vf8NkfnHG2dUeIuLcbmVKkqUatSUlFdNetur3k+sm2Ffzq/wDBwn4t+OGu/wDBSDxH4e+K02oromkWFongK2uotluumvCjPLABwwa488M/JLR7SfkAH9FVeafH/wDY5/Zf/anvtF1P9oX4J6H4suPD0jvo82q25ZrfeVLLlSNykopKNlTjpXPn+VVc3wPsKc+V3T12fk/z9UfUeEnHuA8O+KnmeMw7rQdOUNLc0W7NSjeyvpyvVe7J+j/Mr9hH4m/E74hf8E6dV+I3xs+It/ca23iWDz/El7foLiG2gOmx28rTdFaOCOP53+YbMvk5Nfor+zR4/wBb8eauNW0nxifEOiT2RP8Aacd6tzDIUIRXSRCULEqQdvX5uMjjyH41wQQfE34g28MKJGvxF8PqsaqAoH2fQxgD0r7IREjXbGgUDoAMV8rw/lFaWZVZ+3dqVSzX87XV69fnueDxNnNLMcXVxUaEYKu5TUVtBSlzcsdFpG9lttsLRRRX6KfGnxl/wXv8XfHLwZ/wTb8V6h8DZdRhe5v7W08VXWlxbpYdGkLrckkfMiE+WjsOiO2cKWI/H/8A4IufFPxd8P8A9qe40Oz+M954K8M6voc7eJ7611i3sFlEKMbZWlmBAPnOMKvJ3HtnH9IusaRpXiDSbrQde02C9sb62e3vbO6iEkU8TqVeN1bIZWUkEHggkVwP7PX7I/7Nn7KOg6h4Z/Z4+D2keFbLVbtbrUotPiYm4lVQil3kZmIA6DOBliACxz8rnHD2JzLMYYmnXcElbrdelmt766r5n7Pwp4oZXw94a5hw1WwKqVMRJuM9OX3lFXnfXmp8t6dr622td/GeveGP2SPj34gGpfFn4q6F8UbzTdHuo7aLxh4utdUTTLNgDdSRRBgkAICb59oYBE+ddor3v/gkvfeJLr9jqxsb+W8m8O6b4k1ax+Hd1fW6xvP4bhunTTnGMb4/JACOfvRqhyQQxxv+ChX7O/wQ/aB+LPw68O/Gj4Z6b4isbDQ9dubO2vg4WKU3GlKXGxlJ+UkYORz0r2L9jC0tbD9lPwDYWNtHBBB4at4oIIUCpGirhVVRwoAAAA4AFefkOBqYPiPEU51XNxirt9b2eur22Wp8nmOd0a/CFLCLmlKU78srclJR59Kerd5815e7BK1rSvdenUUUV90fCH8xn/BV/wCIH7Qupf8ABST4ka58YtV1i017QvF88Hhl5t0EllpcM7NpzW+3GxPJMcqsv3mcvncxNfqB8Efjlp3xM/Zo8Mj9oL9ufVP7b17wlAPF2nS/EiytCZZocTRsse1oshiCFKsueCCK+xvjp8Df2BvHX7QXg7xt+0H4b8A3HxJtWhXwW/iDUIYtRnMcxeJYYWkU3G2UkqNr4YnHJr0r4r2lqPhf4lcWseRoF4c+WP8Ang9fCLhbGPEVpwxbipNvS93197Va6+Z+68deKWA4m4byjAUsu9jLDQXvNJLRKNqVlfkvG7295JdLv4L+A3gP4S/CL9vL4O2n7InhrR9Ll1rQdTt/HNn4StIXt5/CyWRktrq6KZ2gXy2axTk7pTJINz4O39F6+If+Cc37OXwL+AXxm0ef4NfC/S/D0mufDC7m1eWxRy906z6SVLM7McAu5ABABYnHNfb1ehwbTcMlTve8pP06WX3X+Z+d8bZnRzLM6apylP2dNRc52U5vmlPmklKW3NyR96Xuxjr0RXO/Fvwv8MfGvww1/wALfGnTtKu/CV5pM6eI4dbZVtPsewmVpWcgIqqCxckbdu7Ixmuir84/+DmTxd8cvDf7E2i6Z8Np9Rg8L6t4oW28ez2Efym32breKZxykTzAZ7MwRSeQD7uZYqOCwFSvKPMorbv/AMDv5HNwTkNbifizB5XSrexlVmkp/wAttbrb3tPdV1eVldbn2h+yn8Mf2Ufhr8IYNA/Y/wBI8KReDJb6e4hfwneR3dpNclgsrmZHfzHyoUksSAgXgKAPSY4IIjmKFFJ6lVAr+fH/AIIa/G7xx4T8XeL/AId65+0fqngrwMNK/tAW8Xia30+CTVWlhjVlM4OXMKyZCdQi7ui1+qXwf+Mw8QXTeH/h1+0ddeNbyO4W4MQ8TwajNFnCAEQciM+jDGSa+Tw/GmCjh4x9hJPRWilb5fpp5H1PiJwHjeGOL8TgauL9u01L2km+d8yUvfvf3tddX362Pr+imQGZoEa4UCQoPMC9Acc4p9fcp3Vz8uCiiimB8Ff8HGfiz45eFf8Agnfcp8HpdRi03UvE9rY+PLjToslNHkin3LIw5jie4FtGxH3g+w/KxB+Jv+DXPX/jFbftUeOPDfh2C7fwPdeEFn8UOtsGgjvo5gLHdIR8jlXuwqg/MA/B25H6+/ts6Vp2u/sjfEbQ9Ys0uLS98IXtvd28n3ZYniKsp9iCR+NeS/8ABPb4EfB39nz4p+PPBvwT+HeneG9MufD+i3VxaacrYlmNzqi72Z2ZmO1QBk8AcYr4zMMNJ8XYafO9Yt+nKnp6Pr8z9syHxEy/LfCDH8NTwalVqzup6W95x96XXnhb3GvLa2v1XRRRX2Z+Jn4S/wDBzz4u+ON1+134a8E+Kp9Rj8B2vhaO68JW7R7bSa6ZmW8kUjiSUERK2eVUrwA2W9L/AOCSn7RXinVP2PrCx+NP7Z+s+H20nVptO8M6XN44s7Mw6VFFCsSrHKC+wP5yqW/hUAfKFr9UP2hv2WP2ev2r/DFn4N/aJ+FGleK9N069+12NvqSNm3m2MhdGQqy5ViCAcHjIOBjr/D3hLwv4S0Cx8K+GPD9nYabplnFaafY2tuqRW0EahI40UDCqqgAAdAK+MxPDGNr5nVxMMS4KXa9/R6rRdD9rzXxUyrMPDHAcMRwCVWhK7m+Xl0v70dG+ed7zbtrfe+ny1+z94Y8HfE3WtBuPBHjEa9Yad4j/ALVutastTjvPtF0kjzSNNMmVLPI5LYwctxivrWmxxxxLtijVR6KMU6vbyXKf7Iw8qbqOblJybatvbzfbufkGNxf1yopctklawV4d/wAFJvEnxU8IfsPfELxF8GbzVrXXbbSoc3mg2/m3tpYtdQrfTwLgnzY7M3EikAspQEAkCvcaOvWvTr0nWoTpp25k1dbq6tdehWV4yOXZnQxcqaqKnOMnF7S5ZJ8r30drPR6H5ifH34y+C/APiP4GaV8Hv2gY/DcN9rq2yXWia/aRiXwz9jkE8jTSFgkW6C3CyA/M6lQSeK9R8N/EX4Y+LvFOn2n/AA1MfGeoxSSNpGmah42tL5o5TE6tJFFFhi/lNIuecKzcdx9OfA39jL9lj9mnxBrvir4D/A3QPDGoeJXDa1daZalWuMOzhRkkRpudjsTavTj5Rj0pbW1RgyW0YI6EIK+Go8HY1Yb2UsW0ne8Um4/+lK/nofTZvxBk9StTjgaDcYL45qMZybbeqjzJct+Ve87pX0vyrjP2ePBLeAfhdbaPIJw91qF9qEiXIAZGurqW4K4wMAGTAB5xjOTXb0UV9vhaCwuGhRTuopL7lY+Pq1HVqym+rbCiiitzM+ePib8LG8X/ABkvtFfR5bX+19dsL+5ntFOZhbm22yksCPuW0aHtxjg19D0UV5WW5XHLqlaam5e0k5a9L9PP1OvE4p4mMI2tyqwUUUV6pyBRRRQB5D+0xoUt1r+g+Io9EEslpb3Ftb3aIzOvnPCzxccYYwxEdyV4rtvgn4JT4cfCTw94GjkmYaZpUUObgjfwOc4AGefSuoorysPlccPmlbG87bqJK3ay7/I6qmKdTCwo2+G+vqFFFFeqcp/MZ/wVf+IH7Qupf8FJPiRrnxi1XWLTXtC8XzweGXm3QSWWlwzs2nNb7cbE8kxyqy/eZy+dzE1+o/7P37QUXjX9nnwjqnxy/bq1JfEWq+GLaTxPp9z8QtPhBnkiBljeIAbM5IK8EZI4Nfb/AMUf2NP2WvjV8V9C+OXxW+B+g674t8NeV/YmuX9sWmtvKkMsY4IDhJCWUOGAJOMZr0k2doTk2sf/AHwK+HXCeOWJq1I4twUnfS93/i1Wv3n7dx14rZTxZw1leW0cvVOWFhaTfLa6io2p2Tag7czTs72XS78G/ZW8HaTqPjC3+JmgzB9NsvDEmnaZLaSK9rNDcSWsoKOM78LbJgg4w3Ocg177SKqoNqqAB0AFLX0uUZasqwMcMpc1r62tu77an43jMS8XXdRq1wrG+IXw98E/FjwPqvw1+JHhi01rQdbsntNV0u/i3xXMLjDKw/UEYIIBBBANbNFelKKkmmrpmFOpUo1FUptqSd01o01s0+jRxPwL/Zx+Bv7M/gNfhj8CPhlpfhnQlu5Lo6dp0J2vPJjfIzMSzsQqjJJOFUdAAOzjggiOYoUUnqVUCn0UoQhTgowVkui2LxOJxGMryr4ibnOTu5SbbbfVt6t+bCiiiqMQooooA5r4x6Cnij4W674dm0dNQjvdOkhls3DESowwwwvJO3OAO+K4P9mLwVJZeIdf+Ik4nV9SsbLT1WQAIy28l1JuXjJOblgTnHygcEGvYaK8utlka2a0sa5v3E1bo731v8/yOqGKcMJKhb4mncKKKK9Q5QooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKg1W0l1DTLmwhuWheeB40mTrGWUgMPcZzQB88fs7/8ABV39iL9qX9oTU/2Zfg38Tru+8S2C3zWMl1oV1bWGtrZTeTeHTruVBDeiCQ7ZPKZtvJ5AJr6Or8VP+CVv7N/7TNh+0T+yF+zx4x/Zv8ceFLz9kmy+JEfxQ8Xa34flttIv21W5mWxXTrxvkvxcCVZW8snaAd3Sv2roAKKKKACvDf22f+Cif7MH/BPzSvDmrftJeItXsk8Van9h0iPR/D1zfsX3xRl5DCjLDGHmhXe5UFpFAyTivcq/Pv8A4OP/ABbq0v7BsXwU8H/CPx/4u8QeK/F2jXmm23gfwNfawsMOnatY3Vybh7WNxb/ugxTfjzCrBc4OAD9A1YMoYdCMilrmvg78TdF+M3wv0P4p+HNF1vTbHXdPS6tbHxJos2nX8CN0We2nVZIX45RwCK6WgAooooAoeKvE+h+CfC+peM/E9+LXTNIsJr3UbpkZhDBEhkkfCgk4VScAE8cCvD/2QP8Agpl+yl+29448SfDD4K694gtvE3hWzgvtV8O+LvCV9o179hnOIbyOG8ijaSB+MSAY+ZfUZ9q8c+KYPA3gnWPG11pF/qEWj6VcX0lhpVo091crFG0hihiXmSRgu1UHLMQB1r85f+CM3xR1j9qv9sv4sftrftGfBv4m+D/iz4z0BNN0fw14o+GWp6TpXhXwlZXYFrp6X11CkV7eyySi4lKnuQihUagD9L6KKKACiiigD53/AGzf+Cov7Jn7BOvWWh/tF6t4ps0uLOK8v9V0bwTqGo2Gj2ss/kRz311bwtFaI0gKr5jAnacCvoHTdSsNZ0631fS7tJ7W6gSa2njOVkjYBlYHuCCDX5lf8HF9hcfHP4XRfs3+B/gV+0Hr3xIisre/+GUvw90W7uPCesX819Bm21jYTaSpD9lRyl6oVVlJjJ3NX6SfD2LxPB4A0ODxrb2sWspo9surxWSgQpdCJfNWMDgIH3AY7YoA2KKKKACgkKCzEAAck0V4n/wUb8IftLfEL9iP4i/D/wDZCihf4ha9oDadofnaoliVWeRIrhkuHBWCUW7TFJCDtfacHGKAF/Y1/wCCgv7L/wC3zF43u/2YfGtxrtr8P/Fk3h3X719Okhha8jGSYHcATRkciReCCCOte11+ZX/Bvr8LP2kvgn8W/wBpnwH8Vv2Jf+FQeF5PHuny+HrVfEZvreNodMtrUWlrJ9mhF7CsUSObxPlZ2ZNu5ST+mtABRRRQAV85/Er/AIKgfs6/DP8Aaqm/Y4ufCHxK13xlZvpQ1U+EvhtqWq2GmLqJItZLq6tomitkYByXkIAEbknCnH0ZX5Lf8FUPAHxC0r9u1/H/AOwp4E/aZ0v9onXvF/hCCHW9BtbuPwBq2i2wUTm/li/0SSGOCW6R1uT5iyZ2Da2SAfrTRRRQAUUUUAch8fPj18Jf2YPg7r/x8+OvjS18PeE/DFgbvWdWu8lIY8hQAFBZ2ZmVFVQWZmAAJIrn/wBlL9rj4TftkfDyf4kfCSz8S2draX5s7yw8XeFLzRr6CTy0kUtb3caSbGjkR1cAqwYEGvnf/g4J/Z2+MX7TH/BMvxP4J+B2g6xq2t6V4j0PXZNI8OjdqF5aWWoQzzrbL/HOsatIifxNGAASQKo/8ENrf9oOP4dfFi5+Ik/xYb4bz/E6ZvgoPjg903iUaN9mi803H2z/AEkRG583yxL82A2PlxQB9y0UUUAf/9k=", 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", 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", "info": {"equation": "50-49=1", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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21cDJHHAx7J/wUk+Dvwv+OuhfD34f/F/wVZ6/osnjGed9PvS4QyppV8UfKMpBBJ71+b4PCynwbWfO/ib+62no9/U/YeGeM8i4R8QsFj6WGdWlSjKLclFVG58z50k3FShflj72qT1jzWj4J/wbR6/8YtX/AGBbzTfiFDeDw7pvi+7h8Cy3VsEV7MhZJxE2MyILp5+TnDb1B+XA/RCvGP2BfC3hvwN+zfaeDPB2iW+m6TpXiXXbXTdPtI9kVvCmq3QVFHYAD6nqck17PX3WSwdPKKEW7+5H8Vf8NkfnHG2dUeIuLcbmVKkqUatSUlFdNetur3k+sm2Ffzq/8HCfi344a7/wUg8R+HvitNqK6JpFhaJ4CtrqLZbrprwozywAcMGuPPDPyS0e0n5AB/RVXmnx/wD2Of2X/wBqe+0XU/2hfgnofiy48PSO+jzarblmt95UsuVI3KSiko2VOOlc+f5VVzfA+wpz5XdPXZ+T/P1R9R4Sce4Dw74qeZ4zDutB05Q0tzRbs1KN7K+nK9V7sn6P88f+Cf8A+0p4j8WfsheDdb+Pf7dOt6d4lktJo57S6+IFjbSx26TyJbbkcFwTAsZy/wAzZy3JNfdv7MvxA13x7qi6vpfjE+INFnsCTqaXq3EMhXCK6yJ8hYlSDt6/NxkcezR6fYRRrFFYwqqqAqrEAAB0AqVESNdsaBQOgAxXnYPhvGYfFU6s8ZOSi72d7Py+J/lsfK53xBh83x+JxNPCxpKtOUlGNrR5pN2Wi0V7LbYWiiivrD5k+Mv+C9/i745eDP8Agm34r1D4Gy6jC9zf2tp4qutLi3Sw6NIXW5JI+ZEJ8tHYdEds4UsR+P8A/wAEXPin4u+H/wC1PcaHZ/Ge88FeGdX0OdvE99a6xb2CyiFGNsrSzAgHznGFXk7j2zj+kXWNI0rxBpN1oOvabBe2N9bPb3tndRCSKeJ1KvG6tkMrKSCDwQSK4H9nr9kf9mz9lHQdQ8M/s8fB7SPCtlqt2t1qUWnxMTcSqoRS7yMzEAdBnAyxABY5+Vzjh7E5lmMMTTruCSt1uvSzW99dV8z9n4U8UMr4e8Ncw4arYFVKmIk3GenL7yirzvrzU+W9O19bbWu/jPXvDH7JHx78QDUviz8VdC+KN5puj3UdtF4w8XWuqJplmwBupIogwSAEBN8+0MAifOu0V73/AMEl77xJdfsdWNjfy3k3h3TfEmrWPw7ur63WN5/DcN06ac4xjfH5IARz96NUOSCGON/wUK/Z3+CH7QPxZ+HXh340fDPTfEVjYaHrtzZ218HCxSm40pS42MpPykjByOelexfsYWlrYfsp+AbCxto4IIPDVvFBBCgVI0VcKqqOFAAAAHAArz8hwNTB8R4inOq5uMVdvrez11e2y1Pk8xzujX4QpYRc0pSnfllbkpKPPpT1bvPmvL3YJWtaV7r06iiivuj4Q/mG/wCCtvjL47+Jv+Ci/wATrn463GpJqul+Krmz0GG+i8v7PpEczHTxCo4EZgMcgI+8ZGc5Zia/Ub4I/HLTviZ+zR4ZH7QX7c+qDW9e8JQDxdpsvxIsrQmWaHE0bLHtaLIYghSrLnggivsb46fA39gbx1+0F4O8bftB+G/ANx8SbVoV8Fv4g1CGLUZzHMXiWGFpFNxtlJKja+GJxya9K+K9paj4X+JXFrHkaBeHPlj/AJ4PXwi4VxbxNapDFuPM76Xu+vvarXXzP3XjrxSwHE3DeUYCll3sZYaC95pJaJR/dWV+RuN3t7yS6XfwX8BvAfwl+EX7eXwdtP2RPDWj6XLrWg6nb+ObPwlaQvbz+FksjJbXV0UztAvls1inJ3SmSQbnwdv6L18Q/wDBOb9nL4F/AL4zaPP8Gvhfpfh6TXPhhdzavLYo5e6dZ9JKlmdmOAXcgAgAsTjmvt6vQ4NpuGSp3veUn6dLL7r/ADPzvjbM6OZZnTVOUp+zpqLnOynN80p80kpS25uSPvS92MdeiK534t+F/hj41+GGv+FvjTp2lXfhK80mdPEcOtsq2n2PYTK0rOQEVVBYuSNu3dkYzXRV+cf/AAcyeLvjl4b/AGJtF0z4bT6jB4X1bxQtt49nsI/lNvs3W8UzjlInmAz2Zgik8gH3cyxUcFgKleUeZRW3f/gd/I5uCchrcT8WYPK6Vb2Mqs0lP+W2t1t72nuq6vKyutz7Q/ZT+GP7KPw1+EMGgfsf6R4Ui8GS309xC/hO8ju7Sa5LBZXMyO/mPlQpJYkBAvAUAekxwQRHMUKKT1KqBX8+P/BDX43eOPCfi7xf8O9c/aP1TwV4GGlf2gLeLxNb6fBJqrSwxqymcHLmFZMhOoRd3Ra/VL4P/GYeILpvD/w6/aOuvGt5HcLcGIeJ4NRmizhACIORGfRhjJNfJ4fjTBRw8Y+wknorRSt8v008j6nxE4DxvDHF+JwNXF+3aal7STfO+ZKXv3v72uur79bH1/RTIDM0CNcKBIUHmBegOOcU+vuU7q5+XBRRRTA+Cv8Ag4z8WfHLwr/wTvuU+D0uoxabqXie1sfHlxp0WSmjyRT7lkYcxxPcC2jYj7wfYflYg/E3/Brnr/xitv2qPHHhvw7Bdv4HuvCCz+KHW2DQR30cwFjukI+Ryr3YVQfmAfg7cj9ff22dK07Xf2RviNoesWaXFpe+EL23u7eT7ssTxFWU+xBI/GvJf+Ce3wI+Dv7PnxT8eeDfgn8O9O8N6Zc+H9Furi005WxLMbnVF3szszMdqgDJ4A4xXxmYYaT4uw0+d6xb9OVPT0fX5n7ZkPiJl+W+EGP4ang1KrVndT0t7zj70uvPC3uNeW1tfquiiivsz8TPwl/4OefF3xxuv2u/DXgnxVPqMfgO18LR3XhK3aPbaTXTMy3kikcSSgiJWzyqleAGy3pf/BJT9orxTqn7H1hY/Gn9s/WfD7aTq02neGdLm8cWdmYdKiihWJVjlBfYH85VLfwqAPlC1+qH7Q37LH7PX7V/hiz8G/tE/CjSvFem6de/a7G31JGzbzbGQujIVZcqxBAODxkHAx1/h7wl4X8JaBY+FfDHh+zsNN0yzitNPsbW3VIraCNQkcaKBhVVQAAOgFfGYnhjG18zq4mGJcFLte/o9Vouh+15r4qZVmHhjgOGI4BKrQldzfLy6X96OjfPO95t21vvfT5a/Z+8MeDvibrWg3HgjxiNesNO8R/2rda1ZanHefaLpJHmkaaZMqWeRyWxg5bjFfWtNjjjiXbFGqj0UYp1e3kuU/2Rh5U3Uc3KTk21be3m+3c/IMbi/rlRS5bJK1grw7/gpN4k+KnhD9h74heIvgzeata67baVDm80G3829tLFrqFb6eBcE+bHZm4kUgFlKAgEgV7jR1616dek61CdNO3MmrrdXVrr0KyvGRy7M6GLlTVRU5xk4vaXLJPle+jtZ6PQ/MT4+/GXwX4B8R/AzSvg9+0DH4bhvtdW2S60TX7SMS+GfscgnkaaQsEi3QW4WQH5nUqCTxXqPhv4i/DHxd4p0+0/4amPjPUYpJG0jTNQ8bWl80cpidWkiiiwxfymkXPOFZuO4+nPgb+xl+yx+zT4g13xV8B/gboHhjUPErhtautMtSrXGHZwoySI03Ox2JtXpx8ox6UtraowZLaMEdCEFfDUeDsasN7KWLaTveKTcf8A0pX89D6bN+IMnqVqccDQbjBfHNRjOTbb1UeZLlvyr3ndK+l+VcZ+zx4JbwD8LrbR5BOHutQvtQkS5ADI11dS3BXGBgAyYAPOMZya7eiivt8LQWFw0KKd1FJfcrHx9Wo6tWU31bYUUUVuZhRRRQAUUUUAFFFFAHkP7TGhS3Wv6D4ij0QSyWlvcW1vdojM6+c8LPFxxhjDER3JXiu2+CfglPhx8JPD3gaOSZhpmlRQ5uCN/A5zgAZ59K6iivKw+Vxw+aVsbztuokrdrLv8jqqYp1MLCjb4b6+oUUUV6pyn8xn/AAVf+IH7Qupf8FJPiRrnxi1XWLTXtC8XzweGXm3QSWWlwzs2nNb7cbE8kxyqy/eZy+dzE1+o/wCz9+0FF41/Z58I6p8cv26tSXxFqvhi2k8T6fc/ELT4QZ5IgZY3iAGzOSCvBGSODX2/8Uf2NP2WvjV8V9C+OXxW+B+g674t8NeV/YmuX9sWmtvKkMsY4IDhJCWUOGAJOMZr0k2doTk2sf8A3wK+HXCeOWJq1I4twUnfS93/AItVr95+3cdeK2U8WcNZXltHL1TlhYWk3y2uoqNqdk2oO3M07O9l0u/Bv2VvB2k6j4wt/iZoMwfTbLwxJp2mS2kivazQ3ElrKCjjO/C2yYIOMNznINe+0iqqDaqgAdABS19LlGWrKsDHDKXNa+trbu+2p+N4zEvF13UatcKxviF8PfBPxY8D6r8NfiR4YtNa0HW7J7TVdLv4t8VzC4wysP1BGCCAQQQDWzRXpSipJpq6ZhTqVKNRVKbakndNaNNbNPo0cT8C/wBnH4G/sz+A1+GPwI+GWl+GdCW7kujp2nQna88mN8jMxLOxCqMkk4VR0AA7OOCCI5ihRSepVQKfRShCFOCjBWS6LYvE4nEYyvKviJuc5O7lJttt9W3q35sKKKKoxCiiigDmvjHoKeKPhbrvh2bR01CO906SGWzcMRKjDDDC8k7c4A74rg/2YvBUll4h1/4iTidX1KxstPVZAAjLbyXUm5eMk5uWBOcfKBwQa9hory62WRrZrSxrm/cTVujvfW/z/I6oYpwwkqFviadwooor1DlCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooqDVbSXUNMubCG5aF54HjSZOsZZSAw9xnNAHzx+zv/AMFXf2Iv2pf2hNT/AGZfg38Tru+8S2C3zWMl1oV1bWGtrZTeTeHTruVBDeiCQ7ZPKZtvJ5AJr6Or8VP+CVv7N/7TNh+0T+yF+zx4x/Zv8ceFLz9kmy+JEfxQ8Xa34flttIv21W5mWxXTrxvkvxcCVZW8snaAd3Sv2roAKKKKACvDf22f+Cif7MH/AAT80rw5q37SXiLV7JPFWp/YdIj0fw9c37F98UZeQwoywxh5oV3uVBaRQMk4r3Kvz7/4OP8Axbq0v7BsXwU8H/CPx/4u8QeK/F2jXmm23gfwNfawsMOnatY3Vybh7WNxb/ugxTfjzCrBc4OAD9A1YMoYdCMilrmvg78TdF+M3wv0P4p+HNF1vTbHXdPS6tbHxJos2nX8CN0We2nVZIX45RwCK6WgAooooAoeKvE+h+CfC+peM/E9+LXTNIsJr3UbpkZhDBEhkkfCgk4VScAE8cCvD/2QP+CmX7KX7b3jjxJ8MPgrr3iC28TeFbOC+1Xw74u8JX2jXv2Gc4hvI4byKNpIH4xIBj5l9Rn2rxz4pg8DeCdY8bXWkX+oRaPpVxfSWGlWjT3VysUbSGKGJeZJGC7VQcsxAHWvzl/4IzfFHWP2q/2y/ix+2t+0Z8G/ib4P+LPjPQE03R/DXij4ZanpOleFfCVldgWunpfXUKRXt7LJKLiUqe5CKFRqAP0vooooAKKKKAPnf9s3/gqL+yZ+wTr1lof7RereKbNLizivL/VdG8E6hqNho9rLP5Ec99dW8LRWiNICq+YwJ2nAr6B03UrDWdOt9X0u7Se1uoEmtp4zlZI2AZWB7ggg1+ZX/BxfYXHxz+F0X7N/gf4FftB698SIrK3v/hlL8PdFu7jwnrF/NfQZttY2E2kqQ/ZUcpeqFVZSYydzV+knw9i8TweANDg8a29rFrKaPbLq8VkoEKXQiXzVjA4CB9wGO2KANiiiigAoJCgsxAAHJNFeJ/8ABRvwh+0t8Qv2I/iL8P8A9kKKF/iFr2gNp2h+dqiWJVZ5EiuGS4cFYJRbtMUkIO19pwcYoAX9jX/goL+y/wDt8xeN7v8AZh8a3Gu2vw/8WTeHdfvX06SGFryMZJgdwBNGRyJF4III617XX5lf8G+vws/aS+Cfxb/aZ8B/Fb9iX/hUHheTx7p8vh61XxGb63jaHTLa1FpayfZoRewrFEjm8T5WdmTbuUk/prQAUUUUAFfOfxK/4Kgfs6/DP9qqb9ji58IfErXfGVm+lDVT4S+G2parYaYuoki1kurq2iaK2RgHJeQgARuScKcfRlfkt/wVQ8AfELSv27X8f/sKeBP2mdL/AGide8X+EIIdb0G1u4/AGraLbBROb+WL/RJIY4JbpHW5PmLJnYNrZIB+tNFFFABRRRQByHx8+PXwl/Zg+Duv/Hz46+NLXw94T8MWBu9Z1a7yUhjyFAAUFnZmZUVVBZmYAAkiuf8A2Uv2uPhN+2R8PJ/iR8JLPxLZ2tpfmzvLDxd4UvNGvoJPLSRS1vdxpJsaORHVwCrBgQa+d/8Ag4J/Z2+MX7TH/BMvxP4J+B2g6xq2t6V4j0PXZNI8OjdqF5aWWoQzzrbL/HOsatIifxNGAASQKo/8ENrf9oOP4dfFi5+Ik/xYb4bz/E6ZvgoPjg903iUaN9mi803H2z/SREbnzfLEvzYDY+XFAH3LRRRQB//Z", "info": {"equation": "50-49=1", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "db00cc66bfa2f84de3b54aee04f3c8edb717cf401fabe831a4d1e71ba6eff543"} +{"episode": 51189, "episode_seed": 2535370538, "split": "train", "timestamp": "2025-10-28T03:47:45.836489", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2535370538, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 0, 3, 1])", "action": "('move', [6, 0, 3, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "16+84=100", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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YfxCJ7gqp65cjOOKf/BPL4o+G/Hn7AHhbwN+0P+1nd2lrNpdzpVz4Tu/HlpYwNpKSvDDbPECsixNAoQgsGZD15r9AP+Chvwk+G3xv+GnhX4efFnwfa67ol143ikuNOvC4R2TT75kOUZTwwB4NM8P+FvDcX/BNq88MQ6FappyfC7ULRLJIQsawC0mQRgDooT5cDtXx+Y5XXxmfV+SvKHuKWnVbcu600v8AM/Rp8fYGfhnl2QRwqVWhXlN1Va+rk049eb37PVfBGz/l4P8A4J0aRoPgn49fFb4dfB/Trex8B2enaHdyaXpNvGmnWOvSi6F0kOz5Uka1j095IxgAsjEAvk/XtfOn/BO/4QfDD4GeHfGXw9+EPgmy8P6LDr9vPHp9grbPNksoS7ksSzMcDkk8ADoAK+i6+h4ai4ZHQTd9L/e3p8j8/wCK8dSzDPatandq0Y3l8UuWEY80rN2lK12ryte3NLd/HX/BebxJ8WPDH/BMnx5d/CWW9ikuHs7XxBNp8eZE0qWdUuckcqjKQjkfwO2eCTX5lf8ABErxt8QtV8A/FfwNrHiW7m8M6L4OvLjRNPlnBisrmcD7S8Y6pvEUBP8ADlM9d2f3s8UeGPD3jXw1qHg7xbo9vqOlatZS2epWF3GHiuYJUKSRup6qysQR6Gvk79oH4FfCH9nHwlp3wo+B3gGw8N+HrLwF4klttL05CEV5JbV3cliWZix6kk9B0AFeFxbldWonjlUtGMUnHv7y/DW/ql8vu+G+O8Dg/DvEcKywqdWtWVRVdNElFvz5lycqtpyzlqrWl6p+yF471Lx3pI1Oy8dP4l0c6XEsWsf2gt0k0qYTIlT5GY7W3Y7jkZzXtdV9JRI9Lt1jQKPITgDHYVYr6rK8FPL8GqM6jm7t3e+rv3f5n5Viq8cRWc1HlXZHM/Gm+8b6X8HPFmp/DO2ebxJb+Gb+Xw/DHCJGe+W3cwKFbhiZAgweD0r+df8A4JIfFv4heHP26LrU/Enxq1TwpH4g03Uj431uTWYrKadsNMBLNcA4ZroRkj7xJPbNf0nV8dfsPfA34Q/Dv9pnXPHXgn4eadpus+LNN8Q3XiTUYY2Mt/MNYtyGcsTjl2OFwMt0rwOJcFUxeOwkYVHBtyV100vdarXSx+n8CccYHhrhHOssrYVVZYqEVGTtpZte9foubmjbaaXe68F+OGjfBDV9EuPjr8NvHFn40+K9p4n0P/hEvFX9s22r6uNWS6RLGyiYEhY3BmDQKArI00jAlS6/p/Xxz8efgd8Ide/bu07416z8PtOufFehax4VtdH1yVGM1pC94NyoM7RnzH5xn5jg19jVfDGFnhKuKhKbm1O131st+urvr6HyvEWa08dl2Coxcm4Rk25dOblSpx1fuQULx+HWUrRW7K/nA/bt+KH7ROj/APBafxP4v8QeJ9U0jxNo/wATktPDt9KUgex0tZRHZtEX+RIzaOjhjwRIXPLE1/R/XB6t+zB+z9rvx30/9p3WPhNo9x4+0vTTYWHiiS3zcw25EilAc4ztlkXcRuCsRnHFehnuU1s2o04U6nI4yT/rzXQ+h8MePcBwFjMbWxWFVdV6E6SWmjdmk7/Yla00tbW0drHxP4+0v9kb48NJH8a/jjpPxJtdJ0u+aG18VeNLTUItNtnjAubmONCojYRqMzkbowCVZckn60/4J/6p451n9iv4Z6l8R2vW1aTwla+ZJqVqIbiSELi3klQABXaARMwwOScgHivPP+Cj/wAC/g/8b5PBfh74t/DzTtfsbFdVvrS0vo22JcJFAFfCkbsBmGDkHPINe+/BX/kjnhLgf8izYdB/07x15OQ4Grgs6xMKlVzajDV9b693tay1PBzPN6WI4YoYVczfO5WduWmo8ytT1fxuXNPSKvGPxbrpq8r/AGo/hR+x/wDFGy8Lxftc6J4Pu4LHxHE/hP8A4S29igU6kwOyOEyOvmu4H+q+YPtGVOBj1Svw2/4OjPFHxdH7VngHwzqd1fxeDbXwZ9s8OKFKwNqLXMq3bqw+9IqJaA91BXGN3Pt55j4Zdl0q0oc6ulZ7avr/AFvY9Xwr4UxHGfGdHLqOKeGk4zl7SN+ZcsXpGzV29nqvd5n0sfuL9ktQ24W0ec9dgqSvze/Y7/aWvtc+Cfw+8S/E79tfULvxdqHh+0bVtG1Hx3ZHzbqWPb5bwAB9x3D5c7t2O9ff/wAJ7vXL3wDp9z4haRrlkb55s72TcdpbPOduPrXLlXEWGzfEujSpyVle7t3Sto33PlM3yWtk9epSqTjLkm4Xi7p2bV15O2h0VFFFfQninj3/AAUE8QfFbwp+xH8UvEnwPe8TxXZeCr6XRpNOj33EcgiOXiHXeqbmXHIIBGTivyd/4NZtb+J6ftO/EjQ9MS6fwjc+C4rjXpBAGiXUEu0Fnuc8q5jkvcD+IBifu1+31+xWxmZTyImI/I18j/8ABMD4JfCX4J3+s2nwn8A2Ggx634O0PUNWFirZurpmugZHLEkn26DJwBk18xmlCUuIcFPma+PT0V/xvZ+R+p8Mca4PJ/DjOMiqYZTniXTcZ6aWa+Lr7tuaFtpNvTr9e145/wAFBtc8e+G/2LviJrfw1vNRttVg8POTd6PD5l3bWpdBdTQj/nolsZnUjJBUEcgV7HVHxMSPDeoFev2GXH/fBr6KvTdahKmna6auul1ufnOXYqOBzCjiZQU1CcZOL2lytOz30drPRnyj+yH4yXUf2w5vC3wx8RjUPCUXwghn1hNPeOe0t5vt0f8AZLecpJDy28l+yrnDxor9ME/kv+xx46/al1P/AILxaR4j19NWl8c3nxWu7XxbFcWgMsdhvkivEZDwkUdoHAxwiIu3oK/W/wD4JgfBD4R/AseINF+EHgDT/D9rqnhbw/f6jFYK3+kXLfbQ0jFiSTgAYzgdgMmqPhL4J/CXTf8AgovcfHex8A6fH4x1HxteWF74hCMbiW2XQXAj5O0DCIMgAnaMmvzrD4WUsoy6XO/4v5yf5W/Fn7Pw7x3kvDFbOcNTwntYV8L7KMpKKlezu5pNrlk56pNu0ILXdfYdFFFfpR+Fn5v/AAB+Jvju5f4LMni2/ufiPq3xenTxpps0cTXZn33o1uG4hPMMVvFI+MAeWq22Pvpu+G/+DiDxd8dH/wCCn4sNRm1RLLRdF0l/hxGsB2hGjSR5IAB+8Y3omUtgktGF6Kor9Pvhz8EfhNon/BQe6+OWl+AbCDxfq/jTVbLUvECqxuJ7ddLlCxnJIUYjj+6BnaM5pP8Agop8E/hN8T/i7pfjH4g+ArDV9T8KeDXu/Dl5eKzNYTm6J8xACFJyiH5gcFQRX5jUwc48P4iPtH7tf77NR/G9/VI/feEfEHI+GON4ZnHBc8J0KicbRTjOo+e0enJG3s09G4Sk+VX5D6o+FV54v1D4X+G9Q+INu0Ovz6BZya5E8YQpeNAhmUqOFIkLDA4Fb9FFfpsVyxSPwarNVasppJXbdlsr9F5IK8+/aR0gan4ItLg6YLg2Oqx3CvtJMB2SJvGPZyvPGGNeg0Vy4/CfXsFUw/Ny8yav2Kw9X2FaNS17O5y/wW8JHwP8LdG8MsZd0FsXYT43hpHaQg4AxguRj2rqKKK2oUlQoxpr7KS+5WM5yc5uXc+V/wBtjxRrOl/tTfCzRvEOuT2PhaXw/r1zZLI6x2lzrifZVjSRyRmRbOS+ZE7jzWAOwlfm/wDZ6+O/gbxV8MNRtPGn7aF0ukyeKNctNN0W88b2FtbzaOt/PHbxmEAHymgAA5BZCDnnNfoN8df2fPgv+014Bk+F3x6+Hen+J9AkuorltN1JGKCaMkpIpUhlYZIyCOGI6Eg9Jo3hrw94d0e08P6DolrZ2NhbR21laW8CpHBCihUjVQMKqqAAB0Ar5bH8N4vGZlUxMMS4KSSsr30VrbrTr82fX/2/lUcgo4VYe9aLs21HlsnOSaercpc6Uk0rKCacua0PPv2YPC40rQNX8UBpP+J5qEcy7sbCscEcQZOOQdvXn2r0+gAAYAor6LL8GsBgqeHTvyq1+58piKzxFeVS1rhXjX7VXgV/G11punDS3Y32nXemLeQKTIi3GwOg6gfcVhkfwnsDXstFZ5pgFmeClh3LlTtr6NP9CsLiHha6qJXtf8hltCLe3jt1JIRAoJ9hin0UV6BznL/G6/8AHOlfBfxfqnwwtnm8S23hfUJfDsMUIkaS+W2kMChW4YmQIMHg9K/N6z+N/hbw3c/AGx8KftM32gRav4av38QamviC1trm6s/sKNJLdSzZMcp1GOFWHBMvnKR8jBf1JrgfhZ+y3+zz8EvGXin4hfCj4R6NoWteNr77Z4p1GxtsSajPvkfe+SQPnlkbC4BLk4zXzud5LiM1r0Z06zp8l9r316rVa9N9j6vIs7yzLstxFHE0eecruGkbNuMoWm3qlHm54WT95WaV+aPz78BI/BvxZ8a2jeFvi7J40nt9dsb3VNWXX4NRnjFtKs0UcjxfKifuyACATubByePsCmxwww58qJVz12rinV1ZNlUsqpTjKq6jk7tv0S7v8zwMZi1i5xajypK1gooor2DjPKP2o/Db65aaPPFpJmkRri3juI0ZnjMyou0Y4+baOo6qK9E8F6CnhXwdpPheN3ZdN0yC1VpCCxEcapk44zx2rTorz6GAVDMK2K5ruooq3blVvxOipiHPDwpW+G/4hXCfHH9mP4A/tLW+i2nx5+FOkeKY/DuqLqOipqsBcWtyBjeuCMgjGVOVbAyDgV3dFds4QqRcZpNdnqLC4rFYKuq+HqOE1tKLcWumjVmtNCP7Jahtwto8567BUlFFWYBRRRQBFerI9nKkMau5iYIjHhjjgH2ryD9lrwAnhzU9X1yOwmtEXT7TSobVlISNLdpmCjIzkebtPPYd69korz8RgFiMfRxLlb2fNp35lb8Dop4h08POlb4ra+juFeOf8FBtc8e+G/2LviJrfw1vNRttVg8POTd6PD5l3bWpdBdTQj/nolsZnUjJBUEcgV7HSSRxyxtFKgZWBDKwyCD2Nddem61CVNO101ftdbmuXYqGAzCjiZQU1TnGTi9pKLTs99Haz0Z+a+tfG/wZ4d/ag0nwj4R/ajfwr4dk+Foub9dI8VWdrbykXcX9mN5sm4uWglvGVQcFNr9CCfoX9law8KeP/HWl+LfCPxAPiiHSdRub2912LVor43Fy1rJbkTTR5UsEmX5RggKvYHPs/wACP2Xv2fP2Y/D1/wCFPgF8JdH8LadqepPqF/a6Xb7VmuGVVLncSfuqoCj5VA4Aru44o4htijVR6KMV8fgOFMThp0ZVcS2oSUuVJ8t076Xf427nvZ1neW4iq4YGk1Dl5VKSSnLvKSjdXu7Jczskld2HUUUV9qfKH5VXHxv1bQPhD8L9Y8UfHS/8OePdV+LUkPjO7l1K2tL2C8M92NZgm83It44Y3dRgDYotwPvru958ATeBPjVrV14W0D49TeOdS1C2S1uJm8UW+o3NnbF8HaIhiNMsSSwxnvX0/wCHv2Xf2e/Cnxw1r9pPw78JNGtPHXiKyW01rxNFb/6TdwgRjaxzgZ8mLJABbYuScV3UdvBEd0UKKfVVAr4WnwfirONTFPlcr2Sdnre713fo9e59vnnEuV42uqmCw/LfmbbUU1KbbcY8t/ch8Mdm1d2jflT6KKK+6PiAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK8f/bN/bq/Zy/YI+H2n/En9o7xRfWNjq2qGw0y10jRrjULu5lWGSeVkgt0aQpFBDLNI+NqJGzEivYK+B/8Agtx4c+JegeIvg3+0f4P+C3ivx7pHg9fGuja5ofgvRJNSvkm1vwzd6fZTfZ48sYvtJSJ36RrPuPANAH3T4V8UeHvHHhfTfGvhHWINR0nWLCG90vULV90VzbyoJI5UPdWRlYH0NX68i/4J/wDwm8Z/Ab9hb4OfBP4ix7Nf8J/DDQtJ1uLeG8q7t7CGKWPI4IV1Zc99teu0AFcz8Zvi94G+AXwq1/4z/Eu/uLbQfDemyX2pzWljLcyiJBkiOKJWeRycBVUEkkAV01ch8fviBpXwr+Cfin4h63omtala6TolxPPYeHNGm1G+nAQjbBbQK0kznPCKCTQBF+zt8fPhz+1J8DvC/wC0P8Ir66ufDPi/SItS0Se9s3t5Xgk+6Xjf5kPHQ812lfIv/BCnXtSvf+CWvwo8G+IPh94t8Max4P8AD8eg65pPjLwvdaTdJdwKrOUiuURpIv3g2ygbWIYA5Bx9dUAFJJIkUbSyMAqgliewpaSRxHG0jAkKCSAMk0AeJfslf8FCv2Y/21/Efi3wd8DPEWsPq3gqW2/tvS/EHhu80u4+z3Ic215FHdRo01tMI5DHMoKttOO2fbq+Av8AgkP8WdQ/ae/ag+Pf7WHxX+EHxG8HeOfFV5Y6Xpmg+Mfh7qGkWmkeFdOluYdNt4rm5iSO7uZmkuLufyyQhuEQcJk/ftABRRRQB4jdf8FCv2aNP/bHsv2FtS1nXbXx3qcUx0trrwveR6XfTw2q3ktpDftGLeW4S3ZZWiVyyqecHivbq/Pb4z6d4p+Jv/BdH4O+Kfhd8H/i5He+AbfWrL4h614l0q4/4QyPQptIcwXemyyFrcXsl3LDCXg2zFY5EkG1RX6E0AFFFFAHln7WH7ZfwC/Yq8J+HfGX7QHiqXTLTxX4xsPC+gpbWb3Et3qV45WGJUQE4+VmZuiqpJr1Ovy+/wCDg/4JftsfEnxN4C+IHwL/AGXl+JvhTwnLozWcNp4mFrdaVrknifS5XuPsqwSyXCtbWiW5mG1baK5uZW3KrLX6d6dNe3GnwT6jZrb3Dwq09usu8ROQCyhsDdg5GcDOKAJqKKKAPNP2sP2rvhX+xp8KB8Yvi9ba9cabJrVlpNrZeGNAn1S/u7y7mEMEMNtbq0kru7BQFBPNdT8JPiXo/wAZPhponxT8P6Jrem2Wu6el3bWHiTRptOv4EYcJPbTqskDjujgEV4V/wVh8IfCHxl+yh9k+OPg74u6x4fsfFemajIfgfa3EviGxuLeUy291CLb9+qpMseXh+dSVPChiNT/glMv7Saf8E7/hOv7XjayfiF/wjC/28fEjZ1Lb50n2b7Wev2n7N5Hm558zfnnNAH0HRRRQBW1nWNK8PaRd+INd1CG0sbG2kuLy7uJAscMSKWd2Y8BQoJJ7AV5d+yD+2x8B/wBuTwJffEn9n+/1u50iyvxbrc634au9N+1o0ayRXVuLmNDPbSowaOZMo4zg8EVd/bW+Gvi/4z/sb/Fn4P8Aw+I/t7xV8NNd0jRMvtBu7nT54YRk9Pndea+P/wDg3o8NftD+Efgt438PfE3TfizY+C7G48PWngrTvjKs66pa30Wh2setxwLcfvEsF1BXWBR+6Cq3l/JigD9DaKKKACvnz4R/8FLv2efjJ+1lqn7FmieGviDpHjjTLHUb7yvFPw+1DTLO9tbK5S2nuLa5uI1juIvMkQLJGSrhgQTkV9B18ofs5+B/GfxG/wCCqHx8/ab8aeE9UsNJ8J+F/D/w3+H91qWnywJewKj6tqlzbmRQJYmubu3h8xMqWsyM5U0AfV9FFFABXgXxq/4KYfskfs/ftQ+Gf2QfiX4z1O28Y+KH09LVbXw/dXFjZPfzyW9gl3dxoYrVrmaKSOISMC7KQK99r8oP+Ckfwb+OPir/AILNfD/xv4d+BPjrV5o9Q+HbeAdZ0DQpJvDMtraa1fza++uyqPK822tZY5bQzndG77ofmJoA/V+iiigD/9k=", "info": {"equation": "16+84=100", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "a3fb48039f22ee80ce054261c80789e29beb686d2ee4cad5fd952a0aa8daaff2"} +{"episode": 51190, "episode_seed": 869284513, "split": "train", "timestamp": "2025-10-28T03:47:45.898566", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 869284513, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 1, 1, 5])", "action": "('move', [3, 1, 1, 5])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "79-6=73", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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"info": {"equation": "79-6=73", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "942a297b36335f631fc72e3cba3e4e72a510916f3a23a8ce739c242393100ab2"} +{"episode": 51191, "episode_seed": 1415911969, "split": "train", "timestamp": "2025-10-28T03:47:45.958699", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1415911969, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 0, 0, 0])", "action": "('move', [2, 0, 0, 0])", "reward": 0.0, "image": 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", "info": {"equation": "7+18=25", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", "info": {"equation": "7+18=25", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "02e0ac56b40b786be62ebb7af2159245c5278018f676c36ccc1b961c884c19f8"} +{"episode": 51192, "episode_seed": 4002151422, "split": "train", "timestamp": "2025-10-28T03:47:46.017573", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4002151422, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 0, 1, 8])", "action": "('move', [2, 0, 1, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "8*11=88", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "8*11=88", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "fae947c05ee6ecb8bc55968a94e790986d7b1d437104e851207976ec7a907882"} +{"episode": 51193, "episode_seed": 3429381317, "split": "train", "timestamp": "2025-10-28T03:47:46.080835", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3429381317, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [7, 6, 1, 8])", "action": "('move', [7, 6, 1, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "7*20=140", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", "info": {"equation": "7*20=140", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "0d1f2a13d30a2fb58899bae56391b58cf008f3b2fb60a36651b7cc37f7827885"} +{"episode": 51194, "episode_seed": 1240520947, "split": "train", "timestamp": "2025-10-28T03:47:46.141394", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1240520947, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 0, 1, 8])", "action": "('move', [2, 0, 1, 8])", "reward": 0.0, "image": 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", "info": {"equation": "5*18=90", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "5*18=90", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "75175ab8366d08bc0592d3bad0f51e87800bc33c8547aef5719ab1b15da6f3e6"} +{"episode": 51195, "episode_seed": 1533689312, "split": "train", "timestamp": "2025-10-28T03:47:46.206239", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1533689312, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 7, 0, 1])", "action": "('move', [2, 7, 0, 1])", "reward": 0.0, "image": 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", 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z9tDxr8NvgJpdtp3gZvh/Zaj4r0fQ7WJNMsdfa58u1dRH8sVzNZKxkQY3RwwOw5Vm+2K+Yf8Agnd8EvhL8Atf8d+Bvgz4BsPDukvBpNy9lp6tteZjeBpGLEszEKoySeFAHAr6er6XhaLjkVHW97v8XofnHF2YUsxzuVSnzNRjGPNK3PPlilzSs2rvtd2SS5na7KKKK+hPmD8eP+DqXxR8ZLeT4WeDoJb+P4f3Md5dXCxR4tptXQhUEjDq6wMxRT2eQjPOPqX/AIN4ta+Kus/8Ez/DyfE2C5W1stf1C28Ivc24jMmkq6FCpHLoJ2uVDHsuOgFevf8ABRj4SfDb43fDjwd8PPiz4Ptdd0S68dpJPp14XCO6aZqLIcoykEMAeDXWfsQ+H9E8KfszaB4X8M6VBYadpt5qlrYWVrGFjghj1K6VI1A6AKAB9K+Sw2HcOL60+Z6007fNK3ppc/Xs048wOO8IcHw1HCKNSlWcnU0s17zuuvO+bllfSy63tH1ivDv+ClXib4xeDf2Dfin4n+AT3yeLLLwnPJpkumRb7mFcqJpIh13rCZWBHzAqCOQK9xoIDAqwBBHINfUV6brUZU07XTV1urrf5H5fleMjl2Z0MXKmqipzjJxltLlknyvydrPyZ/NL/wAEb/H3xM0j9svw/wCAvDvie8h8Oa/emfxRpqTjybw29vcNbO6t95klfKlfmG5v4d1fsn+zN8QdU/4S7W/BHhH4hve6haeOL2a58OpqaSGxSS4IAaFfmijcZf5uCWZgfTqvif8Aso/s5fsw+BYm+AHwf0bwofEfxB0+71s6TblPtUoE20nJOFXe+1BhV3NgDJr0f9jqNB8KLyQINx8Xazlscn/Tpq/NsJw7iaObxwjrtNQ5rxvtz/CtV6+vQ/VvEzj7L+OM6nnGFwvs4NRhaVuZuMfila6vryrX4Yx16Hq1FFFfpx+Nn5pf8HPXij4y6J+x14V0PwPLfxeE9X8W+T42ks4/3bhI/MtIpmHKxmVWYD7peNM8hQfl7/gh98adW0P4FeKvCHjj9qPUPBeh6dr8TeHNNi8V2mnI7yxu106rKN78iHJ6AnA5zX7XfFP4V/Dv43fD/VPhV8WfCFnr3h3WrcQ6ppN/HuiuEDBgDjBBDKrAgggqCCCAai+FXwc+F3wP+H+m/Cv4S+BtP0Hw9o8TR6bpVjDiKBWdnbGckkszMSSSSxJJJr5PMuHcVjs0eKp4h004paXuvJarR7779D9ewviTluH8Kf8AVSWCUqvtvae00ta/NzbX9p/y72t7Pr0Pz2sPBPwO8H/G/wCD/wAS/wBmufTNS8fax8XYUk8R6RdQ6jqGu2Vy7jXnu5wWaaNbUyyO54hdYguzcFb9Lq+Ivgn8Avgv4V/blh+N/h34b6baeLtb+Jfie31TX40YzzxCPVRs5JCj91HnaBnYM5r7do4RoSoYSsnJv95Ja+Vlf59T5Hi3NaeY/VYRlKbhT1lP4m5NvlWsvch9m7u25StG/Kivin46eO7nTf27/G9n8YPFzaZo+k/DzTJ/BsOqXCW9kNOdp31S6jZiA7iaKFZmPKJHDnapBb7Wr5U/4KM/AT4N/Hvxx4C0n4zfDrT/ABHa6Vo2u3mn2+oqxSGcS6Yu8BWGeCQQcg9xW/FtJ1MjqNStytP11Ss/vv8AI5eFMVgcPmUqeLi3CrFxbik5Q1jJSipNK/u8r1Xuylr0fhX7T/xD/aetf+DfJvF3hq515dfn8ORW93emwEN8fDbXzRJPIigeXv03yWdgAQrsx28kfNX/AAav618Vo/jz8TPDumwXTeB5fCcFxrEgtgYU1RblFtAZOquYXvMKPvBST90V+qFxbwT/APBPd7SaFWif4NFGj2/KVOk4Ix6Yrzz/AIJx/Av4QfADxP428I/Bj4faf4d0250bQ7u5tbBWxLO0mpKZGZ2ZmOFUcngDiuCthJQ4gwL52/ca/wDAY/8At19T9FwPiJluH8Os5yT6jFTxVb2kWrcsFKUXyvRP93y/u7aava2v1RRRRX2h+KHj+qfBv9iS8/a9svinq/h7wQ3xqTR82M819CNZNmI3i81bcvuZRH5iebsJCgruwMD1xbW1RgyW0YI6EIK/mL/aR+Mf7VOg/wDBULxT8TvEHi/WtG+JOnfEWeC1v3kW3nskWUwQRpu+RIhblEUH5DGecqST+zngn46eEz4mjsNB/bOuvEN3eBre30m48e2d15zN/cjjAcvxxtOetfCw4ywdCVWMqDT5ntbXzltZ99z9o8RfDTMOFqGWTq49YhVqKau2+S1nyw1f7v3vcel/e0R9uUVi/Dy51u88E6bdeIg/2x7cGYyDDHk4LA9CRgn3rar7WhVVehGolbmSdnurq+p+NVIezm49nY8l/by8QfFzwr+xl8TfEnwHF5/wl9l4MvptBbTofMuEnERO6Je7qNxXAJyBgE4Ffz+f8Eefij4w8EftmW5tvjHe+EdI1rR72PxXrEOsw2ZlhWJpY1eacEDNwsPT5ifYmv6Xa86+Cn7JP7Nf7OWseIdf+B3wZ0Tw1eeK7wXXiCfTbbabyQM7DOSQqhpHIRcKNxwBXz+d5FiM1xdKrTrcnJfvdeas1r0eq0P1fgrxGy7hbgnNskr4NVZ4tJRlpZaW9++tofHTsnad9r3PhP41eEf2L/jF4P8AFvjv4w/FTSfHt3p3hOSKfxDrXii21O80S0VmeM2u04t288qVKqGkkKoSwIWvvH9k/V/idr/7L/w71z41wXMXjC88E6ZN4ojvbYQzLftaxmcSRgAI/mFsqAMHIr5l/wCCkf7P/wAFPix8VrjxT8Sfhppmtah4X+Gkl1oFxexsfsU3nXTb1UEKx3RofmBHyjivtWxJayhZiSTEuSfpXDw3g6mDzXGU51HNx5E2+t03d6vVbbnzOd5xSxfDmEwy5m1KUvetaml7qhT1btLRz0jqopR927looor7M+LK+rvfR6TdSaYm65W3c264zl9p2jn3xX80v7D3j/8Aat1D/grp4K8ZXr6zcfEu/wDiiI/Fq3NpuugskzRaoksbDCKlsbkMMARqhxt2jH9MVfEPgL4DfBvR/wBvJPj5pnw606LxnqXxS1a0vvEQVjcSwCyvV2csVUbY0BKgEheTyc/JcT4eVXEYOSk1+8S087a+qtp6n694X8eYHg7Lc4w2IwirPE0HGLdtGlJcsr/YlzXklreK06r7eooor60/IT4c+NfjyOw/bY+LVl8bfGcmmabpXgzSH8KQanPHb2segtbu19dwFiBITe+YkznO3ybdTgFd3lH7MXx28O+Mf2ZPCZ+Mv7bF/LdahoITV9F1fx3YW6zWzFlSGaABSgaDYGTgjcQcHNfe/wAdP2Tv2b/2mb/QNT+Pfwd0XxVceF7xrrQZdVty5tJGKFsYI3KxjQlGyrbBkHFd+bO0JybWMn/cFfGV+F8ZWx9avHFOCm76Xv6PVaLZb6H2+M4jyirlVGlSw3721NTbUUo+zhyLkau37T46l1H3kvi3PKf2XfCIsTrnj3dKRrS2kEe7HlskAlIdOOcmcjOSPlGOhr1qgAAYAor6XLcEsuwMMMpX5VvtfW58fia7xNeVRq1woooruMDzj9pjR/7U8I6ddtpa3A0/VhcpLglrdzDLFvGPVZXUk8fPWx8CPBzeA/hXpnh1/ODb7m6dZwA6tcXElwVIAGMGUgDqAOea6+ivNp5coZrPG8zblFRt2s7/ANfM6ZYlywqoW2d7hRRRXpHMcD+0doq6z8PUZ9LW5FnqUN0GIJMBTdiQY9M454wTU37O/g9vBnwyhsnEwe91C8v5EnGGUzzvLjGBgfNxnnFdx160V5scuSzZ47m1cOS3zve50vEt4RULdb3+Vgooor0jmCiiigDwnwV8N2m/aHXVTpUlmuja5qGqssKkRvJcRXMZZiwOQ5uXfgjJ6cAivdqKK83K8uWW0ZwUubmk5XfmdOKxLxM1K1rJL7gr4p+Onju5039vDxvZfF/xc2m6RpPw80yfwZBqdwlvZDTnaZ9Uuo2YgO4migWZjyiRw52qQW+1q89+P37KP7OX7U1po9j+0L8ING8WRaBem70dNWgL/ZpWADFcEZVgq7kOVbauQcCsc9y2rmuXvD058run5O3R/wBb2PX4czHL8uxk/rsW6c4uLcUnOPvRkpRUmlf3eV6r3ZS16P4B/Za+Ovhfxf8Asz+H4vin+2zqQF3ZXNvLo+qeObC0Emmi4mjtoprcKDGGtBCGThsMc4Oa+4P2VvC0ME+t/EG2d2h1ezsbW2ZSDE8UBuHV0IHzA/aSM5IOBjoc+trYWKKESziAUYAEYwBUoAAwBgDsK87L+HK2Dx0MTVxMqnImkmu6t1k/6sTmuc0Mwq1nRoKlGpJystopu6SsltsvIKKKK+pPBPO7/wDZM/Zu1P8AaAt/2qNQ+DmizfEK1s/stv4qe3JuUi8tovXaW8tmTeRu2nbnAAr0BbW1RgyW0YI6EIKkoqIU6dO/Kkru7t1fd+Z04jGYvFqCr1JT5IqMeZt8sVtFX2iruyWiCiiirOYKKKKAPDP2pPh3/wAJv4nTTF0mQNrmhNpLX1spMhR2kymTlRt8xmHHck5Ar3GCIQwJCDkIgXn2FOorzcHl0cJjK+I5ruq07drK3zOmtiXWo06drct/ncKKKK9I5grwnRPhqLz9o1L8aVLZrpniG51hvIUhJHkgni3sWzw/nFuMfMOOhFe7UV5uYZcsfUoycrezmpetuh04fEvDxmkr8yt6BRRRXpHMFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXIfHz47/Cv9mL4N+Ifj78bfFUWieFfC2nNe6zqUqM/lRggAKqgs7sxVFRQSzMoAJNdfXyb/wAFvfgr8T/jz/wTZ8ceDvg94SvPEOuafqeha9F4d06PfcapBpusWd9PbRJ/HI0NvJtTqzBVHJo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", "info": {"equation": "87-40=47", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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u7JJcztdlFFFfQnzB+PH/AAdS+KPjJbyfCzwdBLfx/D+5jvLq4WKPFtNq6EKgkYdXWBmKKezyEZ5x9S/8G8WtfFXWf+CZ/h5PibBcra2Wv6hbeEXubcRmTSVdChUjl0E7XKhj2XHQCvXv+CjHwk+G3xu+HHg74efFnwfa67ol147SSfTrwuEd00zUWQ5RlIIYA8Gus/Yh8P6J4U/Zm0Dwv4Z0qCw07TbzVLWwsrWMLHBDHqV0qRqB0AUAD6V8lhsO4cX1p8z1pp2+aVvTS5+vZpx5gcd4Q4PhqOEUalKs5OppZr3ndded83LK+ll1vaPrFeHf8FKvE3xi8G/sG/FPxP8AAJ75PFll4Tnk0yXTIt9zCuVE0kQ671hMrAj5gVBHIFe40EBgVYAgjkGvqK9N1qMqadrpq63V1v8AI/L8rxkcuzOhi5U1UVOcZOMtpcsk+V+TtZ+TP5tf+CLvxd8a+Af2pLrw7b/HPUvBfhfWtFuJfFF1ba9DYxztCjG2LyTZUsJZMDHzEO3YtX7K/AX4vt4l12HQfh3+0NceOLiK+jmmifxPBqLwq2Fw/kY2xkKfvD+8Qa9x+Bf7Jn7Nv7M39t/8KE+DeieFv+Ejvhd63/Zdtt+1SjdtJyThV3vtQYVdxwBk16DHBBEcxQopPXaoFfF4ThLHUacYvFySTvyxvbe+mq/Lc/S/EzxEy3jjiieZ4XB+zi4Rj71uZ2XxSsmr68q1fuxj6J9FFFfcn5Mfml/wc9eKPjLon7HXhXQ/A8t/F4T1fxb5PjaSzj/duEj8y0imYcrGZVZgPul40zyFB+Xv+CH3xp1bQ/gV4q8IeOP2o9Q8F6Hp2vxN4c02LxXaacjvLG7XTqso3vyIcnoCcDnNftd8U/hX8O/jd8P9U+FXxZ8IWeveHdatxDqmk38e6K4QMGAOMEEMqsCCCCoIIIBqL4VfBz4XfA/4f6b8K/hL4G0/QfD2jxNHpulWMOIoFZ2dsZySSzMxJJJLEkkmvk8y4dxWOzR4qniHTTilpe68lqtHvvv0P17C+JOW4fwp/wBVJYJSq+29p7TS1r83Ntf2n/Lva3s+vQ/Paw8E/A7wf8b/AIP/ABL/AGa59M1Lx9rHxdhSTxHpF1DqOoa7ZXLuNee7nBZpo1tTLI7niF1iC7NwVv0ur4i+CfwC+C/hX9uWH43+Hfhvptp4u1v4l+J7fVNfjRjPPEI9VGzkkKP3UedoGdgzmvt2jhGhKhhKycm/3klr5WV/n1PkeLc1p5j9VhGUpuFPWU/ibk2+Vay9yH2bu7blK0b8qK+Kfjp47udN/bv8b2fxg8XNpmj6T8PNMn8Gw6pcJb2Q052nfVLqNmIDuJooVmY8okcOdqkFvtavlT/goz8BPg38e/HHgLSfjN8OtP8AEdrpWja7eafb6irFIZxLpi7wFYZ4JBByD3Fb8W0nUyOo1K3K0/XVKz++/wAjl4UxWBw+ZSp4uLcKsXFuKTlDWMlKKk0r+7yvVe7KWvR+FftP/EP9p61/4N8m8XeGrnXl1+fw5Fb3d6bAQ3x8NtfNEk8iKB5e/TfJZ2ABCuzHbyR81f8ABq/rXxWj+PPxM8O6bBdN4Hl8JwXGsSC2BhTVFuUW0Bk6q5he8wo+8FJP3RX6oXFvBP8A8E93tJoVaJ/g0UaPb8pU6TgjHpivPP8AgnH8C/hB8APE/jbwj8GPh9p/h3TbnRtDu7m1sFbEs7SakpkZnZmY4VRyeAOK4K2ElDiDAvnb9xr/AMBj/wC3X1P0XA+ImW4fw6znJPqMVPFVvaRatywUpRfK9E/3fL+7tpq9ra/VFFFFfaH4oeP6p8G/2JLz9r2y+Ker+HvBDfGpNHzYzzX0I1k2YjeLzVty+5lEfmJ5uwkKCu7AwPXFtbVGDJbRgjoQgr+Yv9pH4x/tU6D/AMFQvFPxO8QeL9a0b4k6d8RZ4LW/eRbeeyRZTBBGm75EiFuURQfkMZ5ypJP7OeCfjp4TPiaOw0H9s668Q3d4Gt7fSbjx7Z3XnM39yOMBy/HG05618LDjLB0JVYyoNPme1tfOW1n33P2jxF8NMw4WoZZOrj1iFWopq7b5LWfLDV/u/e9x6X97RH25RWL8PLnW7zwTpt14iD/bHtwZjIMMeTgsD0JGCfetqvtaFVV6EaiVuZJ2e6ur6n41Uh7Obj2djyX9vLxB8XPCv7GXxN8SfAcXn/CX2Xgy+m0FtOh8y4ScRE7ol7uo3FcAnIGATgV/P5/wR5+KPjDwR+2Zbm2+Md74R0jWtHvY/FesQ6zDZmWFYmljV5pwQM3Cw9PmJ9ia/pdrzr4Kfsk/s1/s5ax4h1/4HfBnRPDV54rvBdeIJ9NttpvJAzsM5JCqGkchFwo3HAFfP53kWIzXF0qtOtycl+915qzWvR6rQ/V+CvEbLuFuCc2ySvg1Vni0lGWllpb3762h8dOydp32vc+E/jV4R/Yv+MXg/wAW+O/jD8VNJ8e3eneE5Ip/EOteKLbU7zRLRWZ4za7Ti3bzypUqoaSQqhLAha+8f2T9X+J2v/sv/DvXPjXBcxeMLzwTpk3iiO9thDMt+1rGZxJGAAj+YWyoAwcivmX/AIKR/s//AAU+LHxWuPFPxJ+Gmma1qHhf4aSXWgXF7Gx+xTeddNvVQQrHdGh+YEfKOK+1bElrKFmJJMS5J+lcPDeDqYPNcZTnUc3HkTb63Td3q9VtufM53nFLF8OYTDLmbUpS961qaXuqFPVu0tHPSOqilH3buWiiivsz4sr6u99HpN1JpibrlbdzbrjOX2naOffFfzS/sPeP/wBq3UP+CungrxlevrNx8S7/AOKIj8Wrc2m66CyTNFqiSxsMIqWxuQwwBGqHG3aMf0xV8Q+AvgN8G9H/AG8k+PmmfDrTovGepfFLVrS+8RBWNxLALK9XZyxVRtjQEqASF5PJz8lxPh5VcRg5KTX7xLTztr6q2nqfr3hfx5geDstzjDYjCKs8TQcYt20aUlyyv9iXNeSWt4rTqvt6iiivrT8hPhz41+PI7D9tj4tWXxt8ZyaZpuleDNIfwpBqc8dvax6C1u7X13AWIEhN75iTOc7fJt1OAV3eUfsxfHbw74x/Zk8Jn4y/tsX8t1qGghNX0XV/HdhbrNbMWVIZoAFKBoNgZOCNxBwc197/AB0/ZO/Zv/aZv9A1P49/B3RfFVx4XvGutBl1W3Lm0kYoWxgjcrGNCUbKtsGQcV35s7QnJtYyf9wV8ZX4XxlbH1q8cU4Kbvpe/o9Votlvofb4ziPKKuVUaVLDfvbU1NtRSj7OHIuRq7ftPjqXUfeS+Lc8p/Zd8IixOuePd0pGtLaQR7seWyQCUh045yZyM5I+UY6GvWqAABgCivpctwSy7AwwylflW+19bnx+JrvE15VGrXCiiiu4wPOP2mNH/tTwjp122lrcDT9WFykuCWt3MMsW8Y9VldSTx89bHwI8HN4D+FemeHX84Nvubp1nADq1xcSXBUgAYwZSAOoA55rr6K82nlyhms8bzNuUVG3azv8A18zpliXLCqhbZ3uFFFFekcwUUUUAFFFFABRRRQB4T4K+G7TftDrqp0qSzXRtc1DVWWFSI3kuIrmMsxYHIc3LvwRk9OARXu1FFebleXLLaM4KXNzScrvzOnFYl4mala1kl9wV8U/HTx3c6b+3h43svi/4ubTdI0n4eaZP4Mg1O4S3shpztM+qXUbMQHcTRQLMx5RI4c7VILfa1ee/H79lH9nL9qa00ex/aF+EGjeLItAvTd6OmrQF/s0rABiuCMqwVdyHKttXIOBWOe5bVzXL3h6c+V3T8nbo/wCt7Hr8OZjl+XYyf12LdOcXFuKTnH3oyUoqTSv7vK9V7spa9H8A/stfHXwv4v8A2Z/D8XxT/bZ1IC7srm3l0fVPHNhaCTTRcTR20U1uFBjDWghDJw2GOcHNfcH7K3haGCfW/iDbO7Q6vZ2NrbMpBieKA3Dq6ED5gftJGckHAx0OfW1sLFFCJZxAKMACMYAqUAAYAwB2Fedl/DlbB46GJq4mVTkTSTXdW6yf9WJzXOaGYVazo0FSjUk5WW0U3dJWS22XkFFFFfUngnnd/wDsmfs3an+0Bb/tUah8HNFm+IVrZ/ZbfxU9uTcpF5bReu0t5bMm8jdtO3OABXoC2tqjBktowR0IQVJRUQp06d+VJXd3bq+78zpxGMxeLUFXqSnyRUY8zb5YraKvtFXdktEFFFFWcwUUUUAeGftSfDv/AITfxOmmLpMgbXNCbSWvrZSZCjtJlMnKjb5jMOO5JyBXuMEQhgSEHIRAvPsKdRXm4PLo4TGV8RzXdVp27WVvmdNbEutRp07W5b/O4UUUV6RzBXhOifDUXn7RqX40qWzXTPENzrDeQpCSPJBPFvYtnh/OLcY+YcdCK92orzcwy5Y+pRk5W9nNS9bdDpw+JeHjNJX5lb0CiiivSOYKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACuQ+Pnx3+Ff7MXwb8Q/H342+KotE8K+FtOa91nUpUZ/KjBAAVVBZ3ZiqKiglmZQASa6+vk3/AILe/BX4n/Hn/gmz448HfB7wleeIdc0/U9C16Lw7p0e+41SDTdYs76e2iT+ORobeTanVmCqOTQB7J+yX+158D/21/hQfjD8BtdvbrTYNWudL1Oy1bSprC+0y/t2CzWt1bTqskEq5UlGAOHU9CK9Or4u/4I2+FvH+oQftBftL+K/hr4k8H6P8Y/j3qPibwboHi7SJNP1EaYLGytEuZ7WTD27yyW0jbHAbaFJ6ivtGgAooooA8b/bK/bx/Zz/YN8L6B4t/aJ1/U7K18S67FpOkrpWh3F873EjKoLiFGEUYLoC7kLl1HJIFeyV8Mf8ABwj4s1K1/wCCf9z8NfDXws8deK9a8T+L9BbTbHwR4LvdYeNbLV7K9neYWsbmFfJgkKs2AzAKOTX2V8MfiBpXxX+HOh/E3QtK1awsvEGlQahaWWvaVLY3sEcsYdUnt5gskEoBw0bgMpBBAIoA3aKKKACvAviV/wAFL/2TfhF+1ZoX7HPxC8U61p3izxFqNtpum3s3ha9/shtRuYTNb2Daj5X2YXUkYDLFv3YIzjNe+1+cf7d3xrv/AI1f8FXPhD+yj8U/gr8Urf4V/DDxJpPi5fEPh74ZanqVj4m8XSHZpsL3sELQ2ljZCczzyu3MmEbasbNQB+jlFFFABRRRQB4F+zt/wUs/ZV/ag+P3iL9mb4Y674hi8XeHNMfU3sfEPhG+0xNS09Lk2rXtlJcxIt3biYbPNjypJGMjmvfa/NX9g7SvFPxA/wCC0nxE/aT+GPwU+NOgeCtY+FE1h8QLv416Pcw/YvEQ1cSwWGjPdFitoIjO7R2zG2zsK9q/SqgAooooAjurq2sbWS9vbhIoYYy8ssjAKigZLEnoAOc15T+xj+21+z3+338IZ/jp+zN4oudZ8Mwa/eaONQudPktvNuLZlWQosgBZPmBVxwQaxP8Agpf8P/2hfix+w78QPhd+y5okOpeMPEemRabb6fNriaYbmymuYo7+JLt1ZbeRrNrlUkKttZlO0kYr56/4N8vBXx7+G37P3xc8D/G39ld/hRBD8f8AxRdeHtDbVDcp9nmustFATBF5ltCVWOK5UFLhAJFCjigD76ooooAK8a/bE/bp+Cv7EOm+F734u6R4v1O58Za1LpXhzSPBHhC71u+vLmO2kuXVbe0R5CFhikckDgKT2r2Wvh3/AILkeCPhp4n+DPhXxF458E/tAX+seHrzVbzwLrH7PlrdvqOl62+nS28DTvZ/v4o5BM6Bh+7PzCQhTggH2Z4B8Zad8RPA2jfEDSNO1KztNc0q3v7a01jTpLO7hjmjWRUnglAkhlAYBo3AZWBBAINa1eSfsEp+0JH+xR8KU/awa4PxKHgLS/8AhNzeFTP/AGl9mTzvN2/L5u7O/HG/dXrdABRRRQB4j8bP+Chn7MXwC/aG8M/st+OvEesT+M/E8EFzHp2heGrzUU0u1nuPs0F1fy28bpYwST5jWSUqpYHnAzXt1fjz/wAFEfgF+2R4L/4LG6p8av2f9K+MK658QB8O0+HGr+Bxc/8ACM+VYai8Wu22vtH+5WJLJ5ZUSf5T9oYpl+n7DUAFFFFABXzX8C/+Cqn7NHx+/aeb9kHw54W+JOh+NzpN7qdvZeNPhtqWjw3VnaSrFNPFLdRIske91AZcglhg819KV8efsm+AvHPxV/4Km/tE/tf/ABB8Gavpml+GdN0f4XfDOXWNOlt/tVjbR/2jql1B5ijzIZb25RFlTKv9lOCcUAfYdFFFAH//2Q==", 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", 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", "info": {"equation": "87-40=47", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "a45ecf19e185bb045193ad32233bbd9b5688e1d703966537f13db6e0a1742c0c"} +{"episode": 51196, "episode_seed": 2429345314, "split": "train", "timestamp": "2025-10-28T03:47:46.279381", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2429345314, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 1, 6, 1])", "action": "('move', [0, 1, 6, 1])", "reward": 0.0, "image": 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", 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8KAOBX09X0vCsOTIqOt73f4vQ/OOLswpZjncqlPmajGMeaVuefLFLmlZtXfa7sklzO12V/Lz42+LX7Tmn/wDBS/UPid458U6ro/xLh+JTx32o3JSC4sZPP+z7R5nyRIkPyLn5FjAx8oBr+oaviDxb8A/gzN+3rf8Ax/n+G+mv40X4o6TZJ4ikRmuFg+wWKbBk7R8pK5C5wSM4Jrh4tw069PDcs3H94o6f3uvqraep9x4TceYDgh5msThFX9vQcVe2jV/dlf8A5dz5vftd+7HRnMeIj+zZ8dtY0zw18SP2g7L4lx2l81xo/hrxN40s9StjciN1EwtVws0ixtJgsrbQzEAHke2/8Epb6+n/AGdNb0fS765uvBmj/ELV9O+GdzPho20GJo1iS3kBPnW0c/2qGFyTmKJACVAJ0v8Agop8HPhd8afh14O+H/xV8EWWt6LdeOkkn0+6DBHZNM1BkOUKsMMAeDXX/sQeH9D8J/szaB4W8MaTBYabpt5qlrYWNrGEjt4Y9SukSNQOgCgAfSubKMvrYHiScKlZ1Gqd7vrdpWer2PlsTnNGrwj9VXNeVRWi7ckFFN80db88m2n7sUlfWTl7vrFeHf8ABSrxN8YvBv7BvxT8T/AJ75PFll4Tnk0yXTIt9zCuVE0kQ671hMrAj5gVBHIFe40EBgVYAgjkGvs69N1qMqadrpq63V1v8j5fK8ZHLszoYuVNVFTnGTjLaXLJPlfk7Wfkz+aX/gjf4++Jmkftl+H/AAF4d8T3kPhzX70z+KNNSceTeG3t7hrZ3VvvMkr5Ur8w3N/Dur9k/wBmb4g6p/wl2t+CPCPxDe91C08cXs1z4dTU0kNiklwQA0K/NFG4y/zcEszA+nVfE/8AZR/Zy/Zh8CxN8APg/o3hQ+I/iDp93rZ0m3KfapQJtpOScKu99qDCrubAGTXo/wCx1Gg+FF5IEG4+LtZy2OT/AKdNX5thOHcTRzeOEddpqHNeN9uf4VqvX16H6t4mcfZfxxnU84wuF9nBqMLStzNxj8UrXV9eVa/DGOvQ9Wooor9OPxs/NL/g568U/GXRP2OvCuh+B5b+Lwnq/i3yfG0lnH+7cJH5lpFMw5EZlVmAPyl40zyFB+Y/+CI3x28R6f8AAbxJ4L+If7V+reENB0XWok8KaV/wl9rYRr5qyS3XlpMCxXe0bHHyhnbHJav2c+O/hD4L+PPhDr/hT9oiw0W58FXdif8AhIo/EM6RWQgVg++V3ZRGFZVYPkbSoIIIBqD4B+BPgP4F+EGheFv2c9I0CDwVbWhPh9PDsqTWbRM7OXjkUsJAzszFtxySSSTXyWZcP4nHZs8RTxLp3ilpe6t21Wj39T9hwviJgcP4S/6sSwHNP23P7Wy5d+a97X9rb3P+vfXofAth4J+B3g/43/B/4l/s1z6ZqXj7WPi7CkniPSLqHUdQ12yuXca893OCzTRramWR3PELrEF2bgrfpdXxF8E/gF8F/Cv7csPxv8O/DfTbTxdrfxL8T2+qa/GjGeeIR6qNnJIUfuo87QM7BnNfbtPhGhKhhKycm/3klr5WV/n1PjuLc1p5j9VhGUpuFPWU/ibk2+Vay9yH2bu7blK0b8qK+Kfjp47udN/bv8b2fxg8XNpmj6T8PNMn8Gw6pcJb2Q052nfVLqNmIDuJooVmY8okcOdqkFvtavlT/goz8BPg38e/HHgLSfjN8OtP8R2ulaNrt5p9vqKsUhnEumLvAVhngkEHIPcVvxbSdTI6jUrcrT9dUrP77/I5eFMVgcPmUqeLi3CrFxbik5Q1jJSipNK/u8r1Xuylr0fhX7T/AMQ/2nrX/g3ybxd4audeXX5/DkVvd3psBDfHw2180STyIoHl79N8lnYAEK7MdvJHzV/wav618Vo/jz8TPDumwXTeB5fCcFxrEgtgYU1RblFtAZOquYXvMKPvBST90V+qFxbwT/8ABPd7SaFWif4NFGj2/KVOk4Ix6Yrzz/gnH8C/hB8APE/jbwj8GPh9p/h3TbnRtDu7m1sFbEs7SakpkZnZmY4VRyeAOK4K2ElDiDAvnb9xr/wGP/t19T9FwPiJluH8Os5yT6jFTxVb2kWrcsFKUXyvRP8Ad8v7u2mr2tr9UUUUV9ofih4/qnwb/YkvP2vbL4p6v4e8EN8ak0fNjPNfQjWTZiN4vNW3L7mUR+Ynm7CQoK7sDA9cW1tUYMltGCOhCCv5i/2kfjH+1ToP/BULxT8TvEHi/WtG+JOnfEWeC1v3kW3nskWUwQRpu+RIhblEUH5DGecqST+zngn46eEz4mjsNB/bOuvEN3eBre30m48e2d15zN/cjjAcvxxtOetfCw4ywdCVWMqDT5ntbXzltZ99z9o8RfDTMOFqGWTq49YhVqKau2+S1nyw1f7v3vcel/e0R9uUVi/Dy51u88E6bdeIg/2x7cGYyDDHk4LA9CRgn3rar7WhVVehGolbmSdnurq+p+NVIezm49nY8l/by8QfFzwr+xl8TfEnwHF5/wAJfZeDL6bQW06HzLhJxETuiXu6jcVwCcgYBOBX8/n/AAR5+KPjDwR+2Zbm2+Md74R0jWtHvY/FesQ6zDZmWFYmljV5pwQM3Cw9PmJ9ia/pdrx79mT4MfsQfDXxJ41vv2UPDnge21TUNYx46/4RW9hnkjvFeU+VcKjt5DKzS4iwoB3YUYr57PMkr5pjKNSnW9ny3739Y6rXvqtD9b4I8QcHwzwNnGT1cD7aWKUbTsrRv7vvtp6R+Knv7/a9z4z+L3h39jv4o+GvE/xL+KPxf07xrqej+F2H/CUap4st9Qv9At43MkUlmyMPssguCrIyAO8mxSWyFr7t/ZP1f4n+IP2YPh3rvxrguY/GF54K0ybxRHe2whmW/a1jM4kjAAR/MLZUAYORXzL/AMFI/wBn/wCCnxY+K1x4p+JPw00zWtQ8L/DSS60C4vY2P2Kbzrpt6qCFY7o0PzAj5RxX2rYktZQsxJJiXJP0ri4bwdTB5ri6c6jm48qbfW6bu9Xqtj5TO84pYvhzCYZczd5S961qaXuqFPVu0tJT0jqopR927lr86v8Ag5h8T/GLQP2D9M074ey38Xh7VfGFvbeN5bKPKm08t3hSZhysbXCxexYIpPIB/RWvIv26/CXhvx5+y74h8FeMdHi1DStVvNKtdRsZ87J4X1O1V0OCDggkcEGvoc5pOtlVeCdvdf4K/wCOxy8EZ5R4b4uwWZ1qSqxpVIycX1V+l9OZbx/vJH4/f8EM/jNrXh74W+NvBvjL9py/8FeHbPWLWfQbCHxTaacktzLHJ9qcCUFnO2O2yfujtyTX1Zf+GPgz4O+Inw7+LH7NOs2WqfEnXPi7YxR+J9I1GLUdT1+O4uYxrUd1MGYzwLYedJIp+SARRsoj4z9Yf8E9PhT8N/hD8NvFfw9+GXguw0XRNP8AGrfY9Os4sJHv03T3Y5YkklmYkkk5NeReAPgH8GdE/bwj+PWk/DjTYPGWo/FLVrS98QqjG4kgFlers5bao2xoCVAJC8nk5/PaeVYinhsDXlXk1OcEo6+7ftr09Efoec8dYHN+NMzzWnRlShNSahG1qloqKjV1S5Z6yqW57ttJa8y+36KKK/VD8TPhz41+PI7D9tj4tWXxt8ZyaZpuleDNIfwpBqc8dvax6C1u7X13AWIEhN75iTOc7fJt1OAV3eUfsxfHbw74x/Zk8Jn4y/tsX8t1qGghNX0XV/HdhbrNbMWVIZoAFKBoNgZOCNxBwc197/HT9k79m/8AaZv9A1P49/B3RfFVx4XvGutBl1W3Lm0kYoWxgjcrGNCUbKtsGQcV35s7QnJtYyf9wV8ZX4XxlbH1q8cU4Kbvpe/o9Votlvofb4ziPKKuVUaVLDfvbU1NtRSj7OHIuRq7ftPjqXUfeS+Lc8p/Zd8IixOuePd0pGtLaQR7seWyQCUh045yZyM5I+UY6GvWqAABgCivpctwSy7AwwylflW+19bnx+JrvE15VGrXCvye8cfG3xP4d/Y01Pxr4m+Lt/o3xWl+JZj1W4ubq3h1C18Q/wBtKj2nlyZWKOO3VVUYwtqiSA7fnP6w152n7Jn7N0f7QMn7VKfBvRB8Q5bL7LJ4r+zf6U0XlCLrnbu8sCPfjds+XOOK87PsnrZvGkqdTk5JX/4K8109XqfTcL53lWURqrG0faJuE42UXeVPm/dyvtTqc3vtXfur3X0+W9C+JPwx8V+K7HT4/wBq9/GV3Hcu+kaRqHji0vf3xjdPMjijwzSCN5F74V247j65+BHg5vAfwr0zw6/nBt9zdOs4AdWuLiS4KkADGDKQB1AHPNdWtraowZLaMEdCEFSVGU5FUy3FyxFWu6kpLl1XS9922eHi8fHE0VTjBRSd9P8AhkFFFFfRHnHA/tHaKus/D1GfS1uRZ6lDdBiCTAU3YkGPTOOeME1N+zv4PbwZ8MobJxMHvdQvL+RJxhlM87y4xgYHzcZ5xXcdetFebHLks2eO5tXDkt873udLxLeEVC3W9/lYKKKK9I5j80v+DnrxT8ZdE/Y68K6H4Hlv4vCer+LfJ8bSWcf7twkfmWkUzDkRmVWYA/KXjTPIUH5j/wCCI3x28R6f8BvEngv4h/tX6t4Q0HRdaiTwppX/AAl9rYRr5qyS3XlpMCxXe0bHHyhnbHJav2p+Kfwr+Hfxu+H+qfCr4s+ELPXvDutW4h1TSb+PdFcIGDAHGCCGVWBBBBUEEEA1F8Kvg58Lvgf8P9N+Ffwl8DafoPh7R4mj03SrGHEUCs7O2M5JJZmYkkkliSSTXymZcO4vHZo8VTxDppxS0vdW6LVaPfffofr2F8Scsw/hT/qpLBKVX23tPaaWtfm5tr+0/wCXe1vZ9eh4F+yxoPhXxv4w0Hxb4M8Xf29YaLf3t/JrVrqUd4t1dSw3EUrSzJlWdmuZGIGDuHQAEV9RUiRxxLtjQKPRRilr1cnyv+ycK6Lm5tycm2rau3m+3c/LMZivrdVT5bWVrBXxT8dPHdzpv7eHjey+L/i5tN0jSfh5pk/gyDU7hLeyGnO0z6pdRsxAdxNFAszHlEjhztUgt9rV578fv2Uf2cv2prTR7H9oX4QaN4si0C9N3o6atAX+zSsAGK4IyrBV3Icq21cg4FTnuW1c1y94enPld0/J26P+t7Hq8OZjl+XYyf12LdOcXFuKTnH3oyUoqTSv7vK9V7spa9H8A/stfHXwv4v/AGZ/D8XxT/bZ1IC7srm3l0fVPHNhaCTTRcTR20U1uFBjDWghDJw2GOcHNfcH7K3haGCfW/iDbO7Q6vZ2NrbMpBieKA3Dq6ED5gftJGckHAx0OfW1sLFFCJZxAKMACMYAqUAAYAwB2Fedl/DlbB46GJq4mVTkTSTXdW6yf9WJzXOaGYVazo0FSjUk5WW0U3dJWS22XkFFFFfUngnnd/8Asmfs3an+0Bb/ALVGofBzRZviFa2f2W38VPbk3KReW0XrtLeWzJvI3bTtzgAV6AtraowZLaMEdCEFSUVEKdOnflSV3d26vu/M6cRjMXi1BV6kp8kVGPM2+WK2ir7RV3ZLRBRRRVnMeS/t5eIPi54V/Yy+JviT4Di8/wCEvsvBl9NoLadD5lwk4iJ3RL3dRuK4BOQMAnAr8AP+CO3xe8e+Bf2wI9Ps/jfqfg/QNf0y7PjHUYNdisluEjhkkgMks+VLfaCmD9752A4Zq/pZrzr4Kfsk/s1/s5ax4h1/4HfBnRPDV54rvBdeIJ9NttpvJAzsM5JCqGkchFwo3HAFfNZ3keJzTF0qtKs6fImtL3V+qs1q9nqtD9a4K8Rsu4W4JzbJK+DVWeLSUZaWWlvfvraHx07J2nfa9z5i8Hy+AvjRdar4V8O/HSTxzquraZ9gubg+J7fUbq1tX3qAoiGEQNIzZK4yeT2r7ggiEMCQg5CIF59hSR28ER3RQop9VUCn105Nk08qlVlOq6kp2u2u1/N33PzPG41YtRShyqN9vP7gr5i/4KUeJdf0AfCa1vdbutN8GXvxIiTxhdxEJAWS0nl0+K5kJHlwvfJbjkgM4jUn5gD9O1h/Er4a+A/jF4D1X4YfE/wraa34f1uza11XSr+PdFcRN1UjqDkAgjBBAIIIBrvzLCzx2BqUIy5XJWv/AF07+RvkmOw+XZpTr14c0FdNaN2lFxvG+nNG/NG+nMkfnZ4Z+PmjWv7UnxT8Jt+11e+GNA01NF8uwtPFllYQJq7W8qXqKXBaRlihsg4JOxyy8EED6G/Zh0Pwj8QPF+h+I/Bnjf8A4SK00fWLnUbrW7bVIr37TdNBPE/nTJlS5+0EkDB4Havfvg/8DvhH8APh7YfCj4NeANO8PeHdM8z7DpVhDiOIu7SOfmyWLOzMSSSSa6mOOOJdsUaqPRRivmMHwpiKFSjOriXJU2pctna66K709bbHqZxnmBxWJqfU6HLBxUU3ZSajFR5pJXSlK3NJKTs3u926iiivtD5YKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACuQ+Pnx3+Ff7MXwb8Q/H342+KotE8K+FtOa91nUpUZ/KjBAAVVBZ3ZiqKiglmZQASa6+vk3/gt78Ffif8ef+CbPjjwd8HvCV54h1zT9T0LXovDunR77jVINN1izvp7aJP45Ght5NqdWYKo5NAHsn7Jf7XnwP/bX+FB+MPwG129utNg1a50vU7LVtKmsL7TL+3YLNa3VtOqyQSrlSUYA4dT0Ir06vi7/AII2+FvH+oQftBftL+K/hr4k8H6P8Y/j3qPibwboHi7SJNP1EaYLGytEuZ7WTD27yyW0jbHAbaFJ6ivtGgAooooA8b/bK/bx/Zz/AGDfC+geLf2idf1OytfEuuxaTpK6VodxfO9xIyqC4hRhFGC6Au5C5dRySBXslfDH/Bwj4s1K1/4J/wBz8NfDXws8deK9a8T+L9BbTbHwR4LvdYeNbLV7K9neYWsbmFfJgkKs2AzAKOTX2V8MfiBpXxX+HOh/E3QtK1awsvEGlQahaWWvaVLY3sEcsYdUnt5gskEoBw0bgMpBBAIoA3aKKKACvAviV/wUv/ZN+EX7Vmhfsc/ELxTrWneLPEWo22m6bezeFr3+yG1G5hM1vYNqPlfZhdSRgMsW/dgjOM177X5x/t3fGu/+NX/BVz4Q/so/FP4K/FK3+Ffww8SaT4uXxD4e+GWp6lY+JvF0h2abC97BC0NpY2QnM88rtzJhG2rGzUAfo5RRRQAUUUUAeBfs7f8ABSz9lX9qD4/eIv2ZvhjrviGLxd4c0x9Tex8Q+Eb7TE1LT0uTate2UlzEi3duJhs82PKkkYyOa99r81f2DtK8U/ED/gtJ8RP2k/hj8FPjToHgrWPhRNYfEC7+Nej3MP2LxENXEsFhoz3RYraCIzu0dsxts7Cvav0qoAKKKKAI7q6trG1kvb24SKGGMvLLIwCooGSxJ6ADnNeU/sY/ttfs9/t9/CGf46fszeKLnWfDMGv3mjjULnT5Lbzbi2ZVkKLIAWT5gVccEGsT/gpf8P8A9oX4sfsO/ED4XfsuaJDqXjDxHpkWm2+nza4mmG5sprmKO/iS7dWW3kaza5VJCrbWZTtJGK+ev+DfLwV8e/ht+z98XPA/xt/ZXf4UQQ/H/wAUXXh7Q21Q3KfZ5rrLRQEwReZbQlVjiuVBS4QCRQo4oA++qKKKACvGv2xP26fgr+xDpvhe9+LukeL9TufGWtS6V4c0jwR4Qu9bvry5jtpLl1W3tEeQhYYpHJA4Ck9q9lr4d/4LkeCPhp4n+DPhXxF458E/tAX+seHrzVbzwLrH7PlrdvqOl62+nS28DTvZ/v4o5BM6Bh+7PzCQhTggH2Z4B8Zad8RPA2jfEDSNO1KztNc0q3v7a01jTpLO7hjmjWRUnglAkhlAYBo3AZWBBAINa1eSfsEp+0JH+xR8KU/awa4PxKHgLS/+E3N4VM/9pfZk87zdvy+buzvxxv3V63QAUUUUAeI/Gz/goZ+zF8Av2hvDP7LfjrxHrE/jPxPBBcx6doXhq81FNLtZ7j7NBdX8tvG6WMEk+Y1klKqWB5wM17dX48/8FEfgF+2R4L/4LG6p8av2f9K+MK658QB8O0+HGr+Bxc/8Iz5VhqLxa7ba+0f7lYksnllRJ/lP2himX6fsNQAUUUUAFfNfwL/4Kqfs0fH79p5v2QfDnhb4k6H43Ok3up29l40+G2paPDdWdpKsU08Ut1EiyR73UBlyCWGDzX0pXx5+yb4C8c/FX/gqb+0T+1/8QfBmr6ZpfhnTdH+F3wzl1jTpbf7VY20f9o6pdQeYo8yGW9uURZUyr/ZTgnFAH2HRRRQB/9k=", 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", "info": {"equation": "66+30=96", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "66+30=96", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "a222b3124d9726f710261b58ed8d142216eca86b8c9584200ec9ba342074afb8"} +{"episode": 51197, "episode_seed": 4120541693, "split": "train", "timestamp": "2025-10-28T03:47:46.349495", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4120541693, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 5, 4, 6])", "action": "('move', [3, 5, 4, 6])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "29+38=67", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "29+38=67", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "ca5d9ff71243214d1a26bda6e6ad88598219550838c1ebe2eaf29abc3d6ce9eb"} +{"episode": 51198, "episode_seed": 4073282353, "split": "train", "timestamp": "2025-10-28T03:47:46.412716", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4073282353, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 8, 1, 1])", "action": "('move', [2, 8, 1, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "68/17=4", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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pGmsBLKGmmBVAWijOeuVAHJwf151q0/Zo+PfiLRtL+Jfx10/4nz6fcSTaF4e8T+MbTVLdLhoyGmSzXCSyiPeAzK+1WfGMk1of8E7v2bvgP8HPiz4A8W/C/wCFmlaLqfiTwDdy67fWsbGS8bybGT5i7Ngb3Ztq4GT04GPYv+CkHwV+FHxw0P4e+Afi14Dsdd0aTxjPO9hdhlQyR6VfFGyhVsgk96/KMNlOIq8P1MSq8lGN/c1s7fP9D9u8Q/EXLeMOO6GNw1CWHioRg5qzq/au7JxT0bilzq8d2r2XPf8ABIkR6Z8PPiP4N+H7O/wv0P4j3Vt8MJI0U2otGhilvYrSVc+fbpqD3aI+WHBAY44+ua8Y/YF8K+G/Av7N1p4L8G6HbaZpOleJddtdN0+zj2RW8KardBUUdgB+J6nJNez1+kZLTdPKKEW7+5H8Vf8ADZH47xLj4ZpntfEwjZSl13dklzSfWc7c031k2wooriPjV8Q4fCmhvoNjI39o6hCVh2gfu0Jwzn9QPf6V047GUcvwsq9V2UV9/ZLzex5FCjPEVVThuzxH9qr4i+J/G3iix+HnwzuR/bniHUhoXhZgiOIZGVnub4o0ih0ghjmnOD8wiRerAH6F+Ffw08KfBz4c6L8LvBFgLfS9D0+O1tEAG5go+aRyPvO7bnZurMzMeSa8O/Yx8BS+NvHOt/tLa9ZstrB9o8O+BopSp22kUwW9vApjDIZ7iEIvzHMVtGwwHOfpGvG4cwlVUZ46v/ErPmflHovu/TsduZVYc6oU/hhp8+rCiiivpDzQooooA/n+/wCDlDxb8cdU/b9PhL4gS6ing/SvD1nJ4At5otlq0UsEZu5oscO5uVkR2PzYiRTwq1+oH/BCTXvjF4g/4JneAp/jJBdrLbLcW3hx722ETyaPG+20YAAFk2DCMRlkVTyME6f/AAUO/Z++C37Q3xY+HPh342/DnT/Eljp+h67c2VtqG/bFMbjSlLjYyn7pIwcjnpXsH7GFra2H7KfgGwsbaOGCDw1bxwQwoFSNFXCqqjgAAAADgAV8ZlmGlS4sxbc29E//AAKzt8tkftfFniJl+e+FeVcP0sGoVMO/enpb3VKN421vUvzVL297+a916dRRRX2Z+KBXy3/wWd8W/HHwT/wTg+I/iD9n6bUYdbjsIUvLnSYt1xb6a8yLeyqRygW3MhLryi5YEYyPqSsD4r8fC3xKcf8AMAvOo/6YPXPi6LxGFnSUrcyauul1uetkOZQyfO8Nj50lVVKpCbhLaSjJPle+jtbZ+h/P/wD8G6evfGPSv+CkuiaX8Nbe7k0PUtC1CLx55FqJI49OWBnieRiP3Y+1ragMMElgvRjX9D9fEX/BOb9nP4GfAP4zaPN8Gvhhpnh6TXPhhdzavLYq5e6dZ9JKlmdmOAXcgAgZY8c19u185wbTcMlTve8pP06afdf5n6B4ycZ4LjnjF5hhaHsoqnCGtuaVrvmla6vryrV+7GPoiud+Lfhf4Y+Nfhhr/hb406dpV34SvNJnTxHDrbKtp9j2EytKzkBFVQWLkjbt3ZGM10VfnH/wcyeLvjl4b/Ym0XTPhtPqMHhfVvFC23j2ewj+U2+zdbxTOOUieYDPZmCKTyAfdzLFRwWAqV5R5lFbd/8Agd/I+R4JyGtxPxZg8rpVvYyqzSU/5ba3W3vae6rq8rK63PtD9lP4Y/so/DX4QwaB+x/pHhSLwZLfT3EL+E7yO7tJrksFlczI7+Y+VCkliQEC8BQB6THBBEcxQopPUqoFfz4/8ENfjd448J+LvF/w71z9o/VPBXgYaV/aAt4vE1vp8EmqtLDGrKZwcuYVkyE6hF3dFr9Uvg/8Zh4gum8P/Dr9o668a3kdwtwYh4ng1GaLOEAIg5EZ9GGMk18nh+NMFHDxj7CSeitFK3y/TTyPqfETgPG8McX4nA1cX7dpqXtJN875kpe/e/va66vv1sfX9FMgMzQI1woEhQeYF6A45xT6+5Turn5cFfylfHv4qftNt+2Pr3xW+K+tavZ/FTT/ABn9purm8jEdzY6jbzDylVDlUERjjVFHyBUUD5QK/q1rzLVv2NP2W9e/aCtf2qtY+B+g3HxCs0VbfxTLbE3C7YjErEZ2s6xnaHKlgAuCNox8/wAQZLWziFJU6nLyu/39fVdPV6o/YPCPxLy3w5r46eMwft/b01FbXTV/dd/+Xc7+/a792Pus+NL3x/8AB/4o/C6Dwb8cf20JtastV0m3TxPoGpfE2zW2u2KI00EwhKExlwysgYBlypyCQek/Yx8K+Dvhf/wUUvfB37Nfh+w0vw/qfw0e5+KWleHbCFLC1vYriJdHkk8sYguJIpL7CDbvjQOVOd5+n/21/D+ia3+yP8RtF1bSoJ7S88I3sF1A8Y2yRvEVZTjsVJH415R/wT2+A/wc/Z7+Kfjzwd8E/h3p3hvTLnw/ot1c2unI2JZjc6ou9mdmZjtVQMngDjFfOwyrEYHiTCwqYiVRtSd3e+iemrej6ngYLiDDw4fxseWS504qkreyvOyc5a/FCycEoP3oxbkuWz+rKKKK/Qz8+Pib48+Mdei/4KN6v4f+J/iO5stLs/hvaSfDSwvJFhs7oSSytq80RJHnToYbQOOTHFzgKcnxT9mD9orQ9XtfHiaj+27qWk6HafE3V4fBtsnjXT7KM6bujctEhXLxfanuwkhzvQKQSME/oJ+0N+yx+z1+1f4Ys/Bv7RPwo0rxXp2nXv2uxt9SRs282woXR0ZWXKsQQDg8ZBwMdf4d8JeF/CXh+x8KeGPD1nYaZplnFaadYWluqRW0EahI40UDCqqgAAcACvjMTwxjK+Z1cTDEuCl2vf0eq0XQ+6r8S5LPJYUY4a9blhCV1FQioK3PB6yc6lk53Ss+bWXMuX5b/Z+8MeDvibrWg3HgjxiNesNO8R/2rda1ZanHefaLpJHmkaaZMqWeRyWxg5bjFfWtNjjjiXbFGqj0UYp1e3kuU/2Rh5U3Uc3KTk21be3m+3c+RxuL+uVFLlskrWCvDv8AgpN4k+KnhD9h74heIvgzeata67baVDm80G3829tLFrqFb6eBcE+bHZm4kUgFlKAgEgV7jR1616dek61CdNO3MmrrdXVrr0KyvGRy7M6GLlTVRU5xk4vaXLJPle+jtZ6PQ/MT4+/GXwX4B8R/AzSvg9+0DH4bhvtdW2S60TX7SMS+GfscgnkaaQsEi3QW4WQH5nUqCTxXqPhv4i/DHxd4p0+0/wCGpj4z1GKSRtI0zUPG1pfNHKYnVpIoosMX8ppFzzhWbjuPpz4G/sZfssfs0+INd8VfAf4G6B4Y1DxK4bWrrTLUq1xh2cKMkiNNzsdibV6cfKMelLa2qMGS2jBHQhBXw1Hg7GrDeyli2k73ik3H/wBKV/PQ+mzfiDJ6lanHA0G4wXxzUYzk229VHmS5b8q953SvpflXGfs8eCW8A/C620eQTh7rUL7UJEuQAyNdXUtwVxgYAMmADzjGcmu3oor7fC0FhcNCindRSX3Kx8fVqOrVlN9W2Fcj8RvhFpfxD1C11K41OW1kgXy5TFGG8yPJOOehBJweRyeDXXUVOLweGx1B0a8eaL6enoOjWq0J89N2ZHZ2kFhaRWNrGEihjWONR2UDAH5CpKKK6ElFWRk227sKKKKYBRRRQB5D+0xoUt1r+g+Io9EEslpb3Ftb3aIzOvnPCzxccYYwxEdyV4rtvgn4JT4cfCTw94GjkmYaZpUUObgjfwOc4AGefSuoorysPlccPmlbG87bqJK3ay7/ACOqpinUwsKNvhvr6hRRRXqnKFZ/iyybUvC2pactmlybiwmjFvLnbLuQjacc4OcfjWhRUzjzwcb2uNOzTPCP2afhwLL4gjxgtncW0ejeH59Ht4GTbGBLLbOVORncotUGM8Bjkcivd6KK87KMtjlOBjhlLmtfXbd32OjGYl4uu6jVgrG+IXw98E/FjwPqvw1+JHhi01rQdbsntNV0u/i3xXMLjDKw/UEYIIBBBANbNFelKKkmmrpmNOpUo1FUptqSd01o01s0+jRxPwL/AGcfgb+zP4DX4Y/Aj4ZaX4Z0JbuS6OnadCdrzyY3yMzEs7EKoySThVHQADs44IIjmKFFJ6lVAp9FKEIU4KMFZLoti8TicRjK8q+Im5zk7uUm2231berfmwoooqjEKKKKAOa+Megp4o+Fuu+HZtHTUI73TpIZbNwxEqMMMMLyTtzgDviuD/Zi8FSWXiHX/iJOJ1fUrGy09VkACMtvJdSbl4yTm5YE5x8oHBBr2GivLrZZGtmtLGub9xNW6O99b/P8jqhinDCSoW+Jp3CiiivUOUKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiioNVtJdQ0y5sIbloXngeNJk6xllIDD3Gc0AfPH7O/8AwVd/Yi/al/aE1P8AZl+DfxOu77xLYLfNYyXWhXVtYa2tlN5N4dOu5UEN6IJDtk8pm28nkAmvo6vxU/4JW/s3/tM2H7RP7IX7PHjH9m/xx4UvP2SbL4kR/FDxdrfh+W20i/bVbmZbFdOvG+S/FwJVlbyydoB3dK/augAooooAK8N/bZ/4KJ/swf8ABPzSvDmrftJeItXsk8Van9h0iPR/D1zfsX3xRl5DCjLDGHmhXe5UFpFAyTivcq/Pv/g4/wDFurS/sGxfBTwf8I/H/i7xB4r8XaNeabbeB/A19rCww6dq1jdXJuHtY3Fv+6DFN+PMKsFzg4AP0DVgyhh0IyKWua+DvxN0X4zfC/Q/in4c0XW9Nsdd09Lq1sfEmizadfwI3RZ7adVkhfjlHAIrpaACiiigCh4q8T6H4J8L6l4z8T34tdM0iwmvdRumRmEMESGSR8KCThVJwATxwK8P/ZA/4KZfspftveOPEnww+CuveILbxN4Vs4L7VfDvi7wlfaNe/YZziG8jhvIo2kgfjEgGPmX1GfavHPimDwN4J1jxtdaRf6hFo+lXF9JYaVaNPdXKxRtIYoYl5kkYLtVByzEAda/OX/gjN8UdY/ar/bL+LH7a37Rnwb+Jvg/4s+M9ATTdH8NeKPhlqek6V4V8JWV2Ba6el9dQpFe3sskouJSp7kIoVGoA/S+iiigAooooA+d/2zf+Cov7Jn7BOvWWh/tF6t4ps0uLOK8v9V0bwTqGo2Gj2ss/kRz311bwtFaI0gKr5jAnacCvoHTdSsNZ0631fS7tJ7W6gSa2njOVkjYBlYHuCCDX5lf8HF9hcfHP4XRfs3+B/gV+0Hr3xIisre/+GUvw90W7uPCesX819Bm21jYTaSpD9lRyl6oVVlJjJ3NX6SfD2LxPB4A0ODxrb2sWspo9surxWSgQpdCJfNWMDgIH3AY7YoA2KKKKACgkKCzEAAck0V4n/wAFG/CH7S3xC/Yj+Ivw/wD2QooX+IWvaA2naH52qJYlVnkSK4ZLhwVglFu0xSQg7X2nBxigBf2Nf+Cgv7L/AO3zF43u/wBmHxrca7a/D/xZN4d1+9fTpIYWvIxkmB3AE0ZHIkXgggjrXtdfmV/wb6/Cz9pL4J/Fv9pnwH8Vv2Jf+FQeF5PHuny+HrVfEZvreNodMtrUWlrJ9mhF7CsUSObxPlZ2ZNu5ST+mtABRRRQAV85/Er/gqB+zr8M/2qpv2OLnwh8Std8ZWb6UNVPhL4balqthpi6iSLWS6uraJorZGAcl5CABG5Jwpx9GV+S3/BVDwB8QtK/btfx/+wp4E/aZ0v8AaJ17xf4Qgh1vQbW7j8AatotsFE5v5Yv9Ekhjglukdbk+Ysmdg2tkgH600UUUAFFFFAHIfHz49fCX9mD4O6/8fPjr40tfD3hPwxYG71nVrvJSGPIUABQWdmZlRVUFmZgACSK5/wDZS/a4+E37ZHw8n+JHwks/Etna2l+bO8sPF3hS80a+gk8tJFLW93Gkmxo5EdXAKsGBBr53/wCDgn9nb4xftMf8Ey/E/gn4HaDrGra3pXiPQ9dk0jw6N2oXlpZahDPOtsv8c6xq0iJ/E0YABJAqj/wQ2t/2g4/h18WLn4iT/FhvhvP8Tpm+Cg+OD3TeJRo32aLzTcfbP9JERufN8sS/NgNj5cUAfctFFFAH/9k=", 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"info": {"equation": "68/17=4", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "1d928154ec2da56094fe2db8509f4fe4073160dd47f9acab58fe6efb6d8398bf"} +{"episode": 51199, "episode_seed": 3749216337, "split": "train", "timestamp": "2025-10-28T03:47:46.463304", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 553, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3749216337, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 0, 1, 8])", "action": "('move', [0, 0, 1, 8])", "reward": 0.0, "image": 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", 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", "info": {"equation": "1*8=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", "info": {"equation": "1*8=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "c7c44a60e1aeec8d9adc77dea8a2770f5ecea88a008c37b9c9c7284adf827c3c"}