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2025-09-16 02:27:49
2025-09-16 02:30:17
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2025-09-16T02:27:49.621350
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{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 1608637542, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'2', 1:'+', 2:'1', 3:'3', 4:'*', 5:'1', 6:'0', 7:'=', 8:'7', 9:'9', 10:'2']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [8, 0, 3, 5])</answer>", "action": "('move', [8, 0, 3, 5])", "reward": 0, "image": 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", 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pTfRtgqa6jc8+23H4MAA0vfJKwm9/21eedLhUaO4QTLy4ZT/zW229EgTzTgAAoPPnzkQIfD7f8aLK2cuiwzA1FDHl9Y2n6roAAv/ay96pwUkqylJ7B6BIGLStMe1AiaekNlBSixZWwVUanEm6996WTZtEgKRVt/3+mQ00JGwwRjzPA9Lttiv1cGldab23tJ5mn4KfaqhobfTEf1nuE4XuukbzXf1nzObxJn9xWongujbujfs/2rZVNjz9dOfRowDQ8q9/heo5GIajoqrcYQEAKK179NHgXnXv7t1f/31Dc7IruMgjBnxJTmsYO0Z9x455tm4NnvWzD9xfc9vi8dNiMcPU1VQUff1JkqOFIN6RchnTE6mjoun558XGBgzgIBDx2Vdw8XBbhEKRmpoaX3op6GTDunXlE1xdQDAFQoi8e8sFz/43dkWZHnqLVlXDuBStXpkiM/ytxxR/C0KYYZiqqqbJ065wOCO12hkKKsv1a9YgAALgrvawRaUwfbrKup5tW21lxSg/EzAOFJ+GBT3lXQcOdHz8MQOAAFx7j9K7iXo9oWXq1HGPP+4rLXXffbfJ9C2O/YTKypbX3wi6lfzFceLzqdcTNqxdS0QBA7g6pZbNm45nZ2CFUAD/gQNpV+YkPfBT0+q/R+w7AjPUXrTF2tqml18OOlP/5JOlyRE+IIiCQojUVZ+XYaMqkgcDQOd//tO+a1fPIg8h1Q/e01mx01u9y1u5C3UeTk6MIUrPlhGVngFA7SOPKIFAcLnM++Wh1rffwmYTQlj2N3urdslCu+itkn0N6g0OhVhf37BhQ5+UqX79erG+XmXdhnXrhObm4HJCoLKydt2DXQ17vFW7Oqt2Rf5mkXVujnnqeHaKq/aRNWE4hjDHmmOCOxwYjCoq6zOnqBXdqqH9o4869u0Lyu3kgL/24YdVViR+f/0jj2akJVNKkdnU9No/A4cOAwBQWvvww0FRGwbwfLK7c/duTS4lrl6dsXGjecIEjU3RRv0TT4jt7cFe85461fL66yor+k+ebN68ue9Hpfovf+oo+re3Zre36mOYIMY9cBMgFPV/l9WtXxfUeaty5qmnRI8n6IzvzJnaZ/4cDCFv1a5Ya7PdbqeUkpHWmVno1RP2iW5TOXta/hzEc32LPLKiJCW6otxxKj0DgMDp031iMA4gRgSKgBAS74rNysqQZQVhVug4a4ocraLn/HpCdaLewXpC95J84hcBQFGIHBCRQmwLcn1vqZXqDcAUkRFoO40w6ujsrG6SrkwbbWNDCeoJ+xquXk9Iuv2UFbjcNCLJVqt1YmKs72y5edZFQGmgtLTvhAT1hGMo6h2KAb2mVU/YJ8BNwJb0ubOYGCcohFIqSTIBhUuMYdxWualF5Qz2YD1hwpIFxC8AgKIosqwgINlTMvhhJ7qG1BMiSkMXGU0cy2sZ+g8YaZDeiRlCiNy7t4PI3eoNDoneekIihAwJKGVincgS5s0V7xjHmiKp3NnZ2TX5wgVms5Z9ZSMRvp4QgImwY4cVCMUY2yKdfZutBio/x1RPOBRhy1PPqydkBDF0qwOymJhop/p5xPPqCUNDiFKwWkxoWIPD6QlDyxBrRYyGWBxKDBYKa45Rb3DIL/oW9IT9YCyW1hFvmD8WgbYiWfBgxHx1tOjzXVs62lrCs3NewtcTIpDqW+WGNmAxFaRAaQ2QXhXcwBMylnrCoQhbnjqknrAPjEhbl1TZAINWOdU6MziEgGJT1PBGBuoJoU9PGLrIQxXMOzGvQUzoXLiwzyDDc7ZpGVQmAIAQ4lgGIUSJwtl0eHqS/npClmFZhuNYjDEycYGjZY45c8PzTeqqQwCSLFvM5jnTJzTVV4Vn57yErSdkHHZT0gSxrBbxHBECpMFvDc7oIOSYP//7oyccigHy1NHqCXt7nGUZxDBSQyvDRfEpajcVnl9P2GsQY0SIzFndMOxeuB494dlVqxpfeQUDSAD7r58eSIxGigKAFEVJSY7/yY+vsqdcwVpiVXoGAGJ19bGcHLmjgwWoTIosXjnr9puu4Xlu01s7a+qar71qfu7Mpea4WYjRsEFxKHTWE1IAADkgzJs/LbubNKzfkfvlUcapeRaXSL72sncQ8ZWV154urcjLzThRwd246h4dl0zD1xPu23/mluvdr/6u5fE37VMWpj71VLA8UFJy4sJpiq+bfA/0hEMht7efyM4J1NZQ7XrCmgceqH7kkeBwpeCa3M6MeCQrAIgoJMZhuWH5ZbW3rUtevSbu5ptVGlS83hO5uf6KCgagMcpy+KbZGPeGkCQvmH/hxfOvMMXPG2E1Ljjt2XHiWFCZtm1qclX92R5NlM/n9/mEgJ8SRZPCKkjlH/4QFIN5vzq8Z+er1Yeeai58dueWNT5ftyyJYRgcCv31hD5f+Ruv7QU4BPDu1XPU6wlD8Tcfa/rm6faiv7/y+A1HP3rQc/LFvz10XUdbaximhmJUesK5lxQA7EXw+eYXQ8uPr7zx+6MnHIrSB+8PT08oNjZ+FRW1D6Bo8WJBCPR1t7e15bPEhIMAO2ysVj3hmUcfDsb51l9dFxpCfp9PEgWqInh6Rt5tDt73oxluxuS7OItn+nVWoyHhjjskj8eckmK/aDqzozBYiBnGYtFzfgK+HT1hW2oce8W06Ah7uyY9YQiy0IYQFgSJZSA5yYUxzpyQ1FBf5YzUbb1+VHrChZMz44g8PsbrPmfEUjUj7fujJxyK6skJ4ekJOZcr9cknOw4cSLj9dp7v79MuDG1XXjilrRNNdWvVE1ZnxVuvmREZ4+icl2MOa4G09/skEvOrq93ZE5q+LBrwIJ2w4ZOS+sVgYT0hSiXfHz1hH4rgCbQVcZzpq6Mn2IhJZlusHGiLjrTu/eDVrMkbtFobih+8nnAowtYTAkDcqlVxg7bvjkZPyEbZEh79qcNurzhcT2k4o43+pCd+gXj9VLsybez53ugJ+yCilyoisGZJxpct/38mpj5Q/Z+0tOTK+lJJkjlN+zyH/yJDT6gLo9ETBp1BrOop1YH8QFQU3zd8rScwRp2dncVl9Q6HE3F2AMQwrCJ6jh/5bKy90x9DTzgajCTUHRrwnJS8VQzL19Y25c5eZjabOPs4zpYoiuKl+TNQ16kfXiwaesLRYCSh3lDwNR4BShCgiqr6zMkXAQAglrXEAiWUorQkK1X0fPzx94HvWk/4w6LnLkL9SssPDKmpqeSqq5DVOunDD8N41815DPrqidQFCCuKZItMiU9MDZabItIDrScAkCT5RW+lOXry6L8rfIbWE4ZHUE/YvGkT7tUTCn/b0rvULI9PTVzxo6t01BOOhqq77/bs2pX60ENRy5frYnD0L67qSULJ4+l5JwxC3MAlBKoE2hnzCFtvhkf5Nud7KIURN6oPxVB6QoblaHjP/FcESmTEcIoiL77mZlPvS+AQY4ag6JUqRPaF5+0ACKEkzBcT9OoJKcX8ACEiVr9pK5TvUk+ohNvdgZKShmeekQWh+qGHoq5d3jcHYzJbwzuTACC0tEIqQHBv6rmTOkT2AaWYsw1vgQUAqpCOZ592XJ9FASFJKnxvs+KKRYRSoCYTnzfZLbYdd6QsNkWG/8jQeFc0w3SNfFxYcBwTFxsdxkkcRk8odjfmptnC6BfMOzBrpkRCjIk1R/aXM2bMWYnsQ5hjR9pMqBKn0wZ2K9U+f9unJ8Qc13rwyz1dskIpAiCEgNjGMHGKok0bDd+hnhAA4uOiGdQWRsX6tWsVQWAAAoWFhWv/0pibFdQTypIYYwtn85ZYXgnb3+Xvuw4wI9bW7ntvU4CFoJ4wMSF2fFxAlnzOcUuZYbdJswDQ+eke/Nl/3HctIJQSX6Dq/tXOP/4EMZgSKpp5X8xUlmV9LUdHk4Tp6eO8dbVUhbYqDEwmc9r4JEXs2TKivmJQTxi8EQ/qCZmV85EgK4QkJsY7nJmUEq0PFmDNsZi1yoKHYWyMpV/8hXkH5p2K5MXYzNo0rIMPgysuhu+IJIQQoqHhPXrCX8+jlCKTqfm11x2XfMVcOAEkRSEkN2cSxiyAEEZPJa5erbVKeKSnpXTWVmoNp1A9IQKofeTP3X++gbWaKCEsy46bkddzGjXpZp94PAkTs8VCCek6+nXHux+af3YpCLJCSKcYK1kzFVkQO6ssIyZhoLTEfMkkMHGKJKemJTkSktLmz0EWPnSRhwTaFaGNCesnnBLZ316OEKaUXpCtp6YuiNRVK/nbAKHoqEh7ioZN4SPoCWUZAc2enG4yaXu8hT15YWfVTnvyQnTuDZg9Kb/j7Pt298VYjx2zAOBvK1UUhQLKzBgXEaF2e32ontBsNk2bmOnKnORYMocKEgBIkqwQhWGYnOxMXZzUHUqJr+0MQpgC5GZPVF9xRD2hLCuxMVH21ET1NsWqCuv1eUSSAaHc7Imsn3EP0BNiVvBWWFx5w+zhZgEAMSwbHwkYU0rNNgvmOUEQEQ7d5oKoIo5iTo8S2RccD9ms+sTfOdblQHAYxrKMWcsTuEbUE1JKrRYT1rgJgrMnRU++BaGBc12sJTZ68s8Gl4dNUJBJKbWYeUbL1Fq/npBhrBF2QZZ5QaQhD01CCFkt+veUToQZTmr0hJpDyGJmYp1AKSBkj7R7B0tSAY04BYABgCqyUFxNZRkwlmpb5JaOQUlLMWfDbLh7PhFmTVHB4T426fmkoyCYdyLWDJQgxoQ4DXordWKwyOF1KOdlqEzTMQOhR5CJgFLMORFWbflcPaFQWnu+GzA0ogpu7ECsObo3nDQ4ObKeEChmTEjLOgrxdouldYAxIBCKa6g4eAWYjqibxQBgnz1bKm+hCkE8JxbXWFJdfIR9lHrCUBBiWGs8JTJQwjl00BAOgLHGYcZMqYIZM2PV8AyOYfSEfWIw1prwrT6vcTRw9mQElBKFtcQhrPae+Rw9YUBQalvtueks9Kvggs3l7Po8qF93EMJcMJyIwts1hNMIekKGAUowa2XNGiR7jjlz/UfKMM8hjg18fcYxa2L4esLyVasEf2n0LUurbl2/5+LUQHLMKPWEAyCyr7PiI9YSZ3NfrD5cVENFb423epcjZQnvSFZ/4RpOTyjJ8y7Ju2TB5eaEfL0ezag7lMi+5iNie3lE+jWa1sG9+/aX/uzHSa/d1bFu28Hy6jOLpzBS/y3ZDT9eND77cj4qB+Hv4+MtIBhOlTsZU6TdPRcxGsJpSD0hITHRESuvv9KZdhVn0zAmVDo7T8y+KPrOK0hTx6nnth/80YUMy2jVE/Ykob/49LHJk2WgCTf/LHnjS1T5FhZ5KNFxpeg85qkSxs1e04svlv7qVwgg68037dcuC92uzbIMy3Fh3It+14R1Yk9fcWXLzh0mm23KiRM4IT50aZDnOcx8T9Ovn7BaLTU1FU6aFGhri128OP2D90no02Uw4nkujBCqX/90+Z2/RwAT391qu+qKMEKo51xbJk0c99ST3aeKklaf835CPfk2MxDCHW4NpSf830RYJzb5kYeZxETnzBnW8eP1dug7IaxWD6UnHA2uW38RKDrFOJ0x1y6DsHaeofD2hRgYGOiFsYHbwGCMMZLQwGCMMZLQwGCMMZLQwGCMMZLQwGCMMZLQwGCMMZLQwGCMMZLQwGCMMZLQwGCMMZLQwGCMMZLQwGCMMZLQwGCMMZLQwGCMMZLQwGCMMZLQwGCMMZLQwGCMMZLQwGCMMZLQwGCMMZLQwGCMMZLQwGCMMZLQwGCMMZLQwGCMMZLQwGCMMZLQwGCMMZLQwGCMMZLQwGCMMZLQwGCMGTkJt27dunPnTn2/ddu2bTU1NToaPHXq1EsvvaQog9/yGSayLG/YsOHQoUN6GQxy7Nix4uJivaz5/f61a9e+/fbbehkEgMbGxvXr13u9Xr0Mer3eJ5988rHHHhMEQS+bFRUVDz/8cHV1tV4GAeCjjz7asmWLjga3bNnS0dHxxhtvFBQUDH/kCEnY3t7e3NxcU1Pj9/v1cq61tXXr1q3t7e16GQSAM2fOCIKgY2KfOXPG5XKdOnVKL4NBtm/fXllZqZe1jo6OpKSk2bNn62UQAE6cOGG323VsuNlsvvLKK00mk44/kYcPH87JyTl8+LBeBr1eb319PQC0tLToYrCqquqDDz4oKyvz+XxlZWXDt32EJOzo6EhPT09ISNDxpzE6OnrlypU6vg2KUjp16tTMzMxAIKCXzfT09GnTpuloEAB8Pl8gEHA4wnzh8WBEUbRarZGRkXoZBIDa2tqcnByXy6WXQY7jMjIyUlNTrdZwX7c+CJ7nvV6vJEl6GQwEArGxsUlJSXpdG5KTk6+77rqGhobc3Fyr1Tr8XcAISagoCsMwGGNCyPBHqgchZLVadUxChFB6errH49E3dMrKymw2m14GAaCioiIrK8ts1u31j7Isf/rpp++++66OJ7O6unr79u06xjcAVFZWRkVpeLn8iDgcjnfeeUfH7nY4HI2Nje+//z7S6dXoGGOLxSKKIs/zADB8+oyQhMH0o5Tq5VwQ3V+KGLyX0LGna2tr582bx7J6vrD2iy+++OCDD3S8iYqMjLzvvvsQQjrmTFJS0s0331xaWqqXQQCoq6tzu906GmxsbFy3bl1bW5teBjHGGRkZbrdbxx4nhDAMI8syAAyfPiN8pd1ub2pqopTqeC8R9E/fPDx48GBWVpaOPxbV1dXd3d06DmMAYNmyZXa73W7X8HL54eno6KiqqmIYRsefyLi4uJaWFh0v1wDQ1NSUl5eno0GO4+rq6oLxrQuBQKC9vT0tLU3HwYKiKJGRkZWVlZIk8cO+BHqEK2FsbGx7e7uiKDo6BwBOp9Niseho8MSJExs3bvR4PHoZnDRp0nvvvTdhwgS9DAJAfHz8jBkzxo0bp5dBt9v94YcfRkZGchynl81x48Zt27ZNx5yRZdlms+k7cM3JyXn99ddzc3P1Muh0Opubm1tbW6Ojo/Wy6XA4srKyzp4963A4hu8g43XZBgZjjLFYb2AwxhhJaGAwxvwP9ekTvcLJyJYAAAAASUVORK5CYII=", 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", "info": { "equation": "2+19*10=192", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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Psm2VjU880X7qFAC0/P3viT/+cU85w3BUCCt3WAAASus3bqQADID3wIHP/7qtOS0xuMgjBHypNlMEO0Z9p0+7du0KnvVLv/tt3Y+WjJ4Sjxmmvq6q5PMPUq0tBOms6dcxXZE6LJzPPCM0NWIAK4Gojz6D2YNtEQpFdDqdL2wPOpl+vLTo3cIOIJgCIUQ6UHjVU/+DE2P06/5Ba2phVLpSr/TR2f7W07K/BSHMMExNjXPClBustmildgaCSlLDpk0IgADYa11sSRlMnRpmXdfuXebyUrRgLGAcKL0AC7vKO44e9bz/PgOAABI/PEUfIOHrCY2TJo360598ZWX2Bx7Q67/EsR9fXd2y49WgW2mfnCE+X/h6wsbNm4nAY4DEdrFl52tnJmdjmVAA/9GjmctzU393p/7Bv0YdPgnTw71pCw6H88UXg840PP54WVqUDwiiIBMidjTkZ5tpGMnTrSfcv79rkYeQ2rUPtVft89bu91bvR+0n0lLiiNy1ZSRMzwDAsWGDHAgEl8u8nx5vfeMf2KBHCEv+Zm/Nfol3C94aydcYvsGBEBoaGrdt6xWDbd0amZ7Qd6nSUbC2o/GQt2Z/e83+6J8tNs3NNUwazU5MdGzYFIFjCHOsIS64w4HBqKq6YezEcEW34RCqJ5QCfsf69WFWJH5/w4aN2ZlplFJk0Dtf+Vvg+AkAAEod69f36AldHxxQqidMefDB7O3bDWPGKDwUZYTqCb3nzyvTE+7c2XNRqf3j7z0l//LWHfDWvA9jhITf3QEIxfzflfVbFegJG7ZsEVyuvnrCmv3emv3xpmaLxUIpJUOtM7PQrSfsEvUCZHCWzAVzkI7rWeSRZDk1JTHGnhCmZwAQuHChR7HGAcQJQBEQQpIS43NysiVJRpjlPZf00cp2PPTnynpCe1i7PfrrCe1LFxC/AACyTKSAgGRiXpjn+0eEyiN9VHag7QLCyNPeXusUl2cO92BDCeoJew48fHkU6fRTlufyMokomUymcSnxvkuVhpnTgNJAWVnPCQnqCaOWLVPRZ1UYpp4wOL4P6gmz5s5k4mwgE0qpKEoEZC4ljrGbJGdLmDPY/fWEyUsXEj8PALIsS5KMgEyemK0bdKKLhQEWeRCloYuMeo7VKRn69xlpkO6JGUKI1L23g0id4RsckKCesPtiM3w9IeFDhgSUMvE2ZIywc6WzjmL10VRqb2/vmHD1QoNByb6yoYhcTwjARFmw1QSEYozN0baezVZ9pXr/BXpChhdCtzogo56JtYU/j3hFPWFoCFEKJqMeDWpwMD1haBliTYhREIt9dVZX2lTFGuLCNzjgD30JesJeMBbK6ok3wotFoK1E4l0YMZ+dKvl4f6GnrWXoOmETuZ4QgdjQKjW2AYspLwbK6oB0q+D6npD/Dj1hDxiRtg6xuhH6rXKG60z/EAKK9TGDG+mrJ4QePWHoIg+Vsc6GdQrEhLZFi3oMMjrOPCWbSgQAEEIcyyCEKJE5swpPT1JfT8gyLMtwHIsxRnoucKrcOmduZL6JHfUIQJQko8EwZ+oYZ0NNZHauSMR6QsZq0aeOEcodSMcRPkAa/abgjA5C1vnz/+v0hN0tzrIMYhixsZXhYnTp4W4qvLKesNsgxogQiTPZYdC9cF16wktr1jS99BIGEAGO3Do1kBKLZBkAybKcnpb03e/caEm/gTXGh+kZAAi1tadzcyWPhwWoTo0uXT3z3jtW6HTca//YV1ff/K0b5+fNWGZImIkYBRsUB2I4esLTkycHKisZgNYY07HVMzGDgxdBKcDPmz9lcidp3Lo379NTjE3xLC4Rfe7yNxHxlVc6LpRV5edln63ibl/zkIpLppHrCQ8fqbj7VvvLv2z50+uWiYsyup9kFbh48ezVU2RfJ/mG6gnrfve72g0bgsOVohV57dlJSJIBEJFJnNV426rrHD8qSHtwU8Jdd4VpUPZ6z+bl+auqGICmGOOJO2Zh3B1CorRw/tWz59+gT5o3xGpccNrTc/Z0UJm2e1JaTcOlLk2Uz+f3+fiAnxJZkcIqSPWvf30Y4CiA97MTh/a9XHt8S3PxU/sKN/l8nZIoRGBwIIajJ2x69tmgGKz59dd7xWA+X+Wrr3wIcBzgrZvmhK8nDMXffNr5xRPukr++9KfbTr231nXuub+su8XT1hqBqYEYlp5w7jVFAB8i+Hjnc6HlZ1bf/g3WEwpNTZ/FxBwGKFmyhOcDPc3tbW35KCX5GMBeM6tUT1ixcX0wznf95JbQEPL7fKLA0zCCp2vk3WbV+b493c7ofbNzdEyvzmo4JP/iF6LLZUhPt0ybyuwtDhZihjEa1ZyfgOHpCePuuMNXXIwMhrhVq5Cud/W2LSOBvWFKbJTFrUhPGILEtyGEeV5kGUhLTcQYjx2T2thQY4tWbb1+WHrCRRPGJhBpdJzXftmIpWZ65jdYT8glJmY8/rjn6NHke+/V6XrbtAND2/KrJ7a1o0l2pXrC2pwk04rp0XHW9nm5hogWSLt/TyRxP7nJPnmM89MSKqqz1V2Xmjpm+/auDxE9ISpMhqMnZKzW0c8+2788Mj1hDzLvCrSVcJz+s1Nn2ajxBnO8FGiLjTZ9+M7LORO2KbU2EJqeUKmeEAAS1qxJ6Ld9dzh6QjbGnLzxTqvFUnWigdJIRhu9SU/8PPH6qXJl2sgzHD3hQESkJ+yBCF4qC8AaRAlft+r/6ZmGQO2/MzPTqhvKRFHiFO3zHPyHND2hKgxHTxh0BrFhT6n25Ruiovi64Ws9izFqb28vLW+wWm2IswAghmFlwXXm5Ecj7Z36aHrC4aAloerQgOuc6K1hWJ3D4cybtdJg0HOWUZw5RRCEaxdMRx3nv3mxqOkJh4OWhGpDwdd0EihBgKpqGsZOmAYAgFjWGA+UUIoyU01UVvPxx18Hvmo94TeLrl5E+Cst3zBEp/PijTcik2n8u+9iiwohIvoaiNgBCMuyaI5OT0rJCJbro7ICrWcBkCj6BW+1IXbC8H8rcgbWE0ZGUE8YfN1KUE/I/6Wwe6lZGp2RcvO3b1RRTzgcah54wLV/f8a6dTGrVqlicPgvrupKQtHl6nonDEJc3yUEKgfcjGGIrTeDI3+Z8z2UwpAb1Qei6amnPCdOAIDzpZeSf/7znnKG5Whkz/yXeUokxHCyLC1ZcZe++yVwiDFAUPRKZSL5IvO2D4RQEuGLCbr1hJRiXR8hIg5/01YoX6WeUI60uQMXLzY++aTE87Xr1sV8a1XPHIzeYIrsTAIA39IKGQDBvamXT+oQyQeUYs48uAUWAKhMPE89Yb01hwJColj8z51yYjwilALV63X5E+xC2xlr+hJ9dOSPDE1KjGWYSF6rFg4cxyTEx0ZwEkWns+n554Oh0VhQUDkmsUdPKHQ25WWaI2gXrLNi1kCJiBg9a4juLWcMmDMRyYcwxw61mTBMbDYzWExU+fxtj54Qc1zrsU8PdUgypQiAEAJCG8MkyLIybTR8hXpCAEhKiGVQWwQVGzZvlnmeAQgUFxdv/mNTXk5QTyiJQpw5ks1bQmU17HlL98gtgBnB4Tj8z9cCLAT1hCnJ8aMTApLos41axgy6TZoFgPaDh/BH/7bfv5BQSnyBmt8+aPvNdxGDKaGCQeeLm8SyrK/l1HCSMCtrlLfeQcPQVkWAXm/IHJ0qC11bRsKv2FhQwDc3BzvigepqR8FaZvV8xEsyISkpSVbbWEqJ0gcLsIZ4zJok3sUwZsbYK/7COivW2WTRi7GBNStYBx+ExIQ4nSeaEEKIggPv0hP+dB6lFOn1za/ssF7zGXP1GBBlmZC83PEYswB8BC2V8uCDSqtERlZmerujWmk4heoJEYBjwx86/3Aba9JTQliWHTU9v+s0KtLNPvanVEwMRiMlpOPU55633jV8/1rgJZmQdiFeNI2VJV5orzEOmYSBsouGa8aDnpNFKSMz1Zqcmjl/DjLqQhd5SMAt821MRJdwSiS/uxIhTCm9arKamrogYodD9LcBQrEx0ZZ0BZvCh9ATShICOnlCll6v7PEWlrRF7TX7LGmL0OUdMEvqAs+lty322ViNHbMA4G8rk2WZAhqbPSoqKtzt9aF6QoNBP2Xc2MSx461L51BeBABRlGQiMwyTO3msKk6qDqXE11aBEKYAeZPHhV9xSD2hJMnxcTGWjJTwbQo1VaZb84koAUJ5k8exfsbeR0+IWd5bZUzMH2QPNwsAiGHZpGjAmFJqMBuxjuN5AeHQbS6IysIw5vQokXzB8ZDZpE78XWZdCgSHYSzLGJQ8gWtIPSGl1GTUY4WbIDhLauyEuxHqO9fFGuNjJ3y/f3nEBAWZlFKjQccomVrr1RMyjCnKwkuSjhdoyEOTEEImo/otpRIRhlM4ekLFIWQ0MPE2oBQQskRbvP0lqYCGnALAAEBliS+tpZIEGIuOFqnF0y9pKebMmI10zyfCrD4mONzHejWfdBQE62yINQAliNEjToHeKjwxWPTgOpQrMlCmqZiB0CXIREAp5mwIh235cj0hX+a4UgcMDamCGzkQa4jtDicFTg6tJwSKGT1Sso5CvJ1CWT1gDAj40joq9F8BpkPqZjEAWGbNEitbqEyQjhNK64wZibooyzD1hKEgxLCmJEokoISzqqAh7ANjSsCMgVIZMwbGpOAZHIPoCXvEYKwp+Ut9XuNw4CxpCCglMmtMQDjcPvNlesIALztaLXlZLPSq4IKHy1nUeVC/6iCEuWA4EVlnURBOQ+gJGQYowayJNSiQ7FnnzPWfLMc6DnFs4PMK68xxkesJK9es4f1lsXcvq7ln66HZGYG0uGHqCftAJF971XusMcFsnx1+uIQNFbx13tr91vSlOmta+DeuwfSEojTvmvxrFl5vSF6g1qMZVYcSydd8UnBXRmWtULQO7j18pOz730l95X5Pwe5jlbUVSyYyYm+X7LbvLB49+XpdTC7CX8fHW0AwnKr3Mfpoi30uYhSE04B6QkLiYqNW37rclnkjZ1YwJpTb28/OmhZ73w3E6Tn/9J5j376aYRmlesKuJPSXXjg9YYIENPmu76dtf57KX8IiDyUqrhRdwTyVI+jsOZ97ruwnP0EAOa+/bvnWytDt2izLsBwXQV/0qyaiE3vhhuUt+/bqzeaJZ8/i5KTQpUGdjsPM1zT9eonoqEWns3j8+EBbW/ySJVnvvE1Cny6DkU7HRRBCDVufqLzvVwhg3Fu7zDfeEEEIdZ1r4/hxo7Y83nm+JPXBy95PqCZfZgZCpMOtgfSE/0lEdGLTNqxnUlJsM6abRo9W26GvhIiOeiA94XBIvOeHgZLzjM0W962VENHOMxTZvhANDQ210DZwa2iMMFoSamiMMFoSamiMMFoSamiMMFoSamiMMFoSamiMMFoSamiMMFoSamiMMFoSamiMMFoSamiMMFoSamiMMFoSamiMMFoSamiMMFoSamiMMFoSamiMMFoSamiMMFoSamiMMFoSamiMMFoSamiMMFoSamiMMFoSamiMMFoSamiMMFoSamiMMFoSamiMMFoSamiMMFoSamiMMFoSamiMMEMn4a5du/bt26fur+7evbuurk5Fg+fPn3/++edluf9bPiNEkqRt27YdP35cLYNBTp8+XVpaqpY1v9+/efPmN954Qy2DANDU1LR161av16uWQa/X+/jjjz/66KM8z6tls6qqav369bW1tWoZBID33nuvsLBQRYOFhYUej+fVV18tKioa/JtDJKHb7W5ubq6rq/P7/Wo519raumvXLrfbrZZBAKioqOB5XsXErqioSExMPH/+vFoGg+zZs6e6ulotax6PJzU1ddasWWoZBICzZ89aLBYVD9xgMCxfvlyv16t4iTxx4kRubu6JEyfUMuj1ehsaGgCgpaVFFYM1NTXvvPNOeXm5z+crLy8f/NiHSEKPx5OVlZWcnKzipTE2Nnb16tUqvg2KUjpp0qSxY8cGAgG1bGZlZU2ZMkVFgwDg8/kCgYDVGuELj/sjCILJZIqOjlbLIAA4HI7c3NzExES1DHIcl52dnZGRYTJF+rr1fuh0Oq/XK4qiWgYDgUB8fHxqaqpa94a0tLRbbrmlsbExLy/PZDIN3gsYIgllWWYYBmNMCBn8m+GDEDKZTComIUIoKyvL5XKpGzrl5eVms1ktgwBQVVWVk5NjMKj2+kdJkg4ePPjWW2+peDJra2v37NmjYnwDQHV1dUyMgpfLD4nVan3zzTdVbG6r1drU1PT2228jlV6NjjE2Go2CIOh0OgAYPH2GSMJg+lFK1XIuiOovRQz2JVRsaYfDMW/ePJZV84W1n3zyyTvvvKNiJyo6OvqRRx5BCKmYM6mpqXfddVdZWZlaBgGgvr7ebreraLCpqamgoKCtrU0tgxjj7Oxsu92uYosTQhiGkSQJAAZPnyF+0mKxOJ1OSqmKfYmgf+rm4bFjx3JyclS8WNTW1nZ2dqo4jAGAlStXWiwWi0XBy+UHx+Px1NTUMAyj4iUyISGhpaVFxds1ADidzvz8fBUNchxXX18fjG9VCAQCbrc7MzNTxcGCLMvR0dHV1dWiKOoGfQn0EHfC+Ph4t9sty7KKzgGAzWYzGo0qGjx79uz27dtdLpdaBsePH//Pf/5zzJgxahkEgKSkpOnTp48aNUotg3a7/d13342OjuY4Ti2bo0aN2r17t4o5I0mS2WxWd+Cam5u7Y8eOvLw8tQzabLbm5ubW1tbY2Fi1bFqt1pycnEuXLlmt1sEbSHtdtobGCKMt1mtojDBaEmpojDD/CwnjG+u1fNhJAAAAAElFTkSuQmCC", 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", 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", "info": { "equation": "2+19*10=192", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
7e1290ef7010b1e03ee096824db91275e1954c24ac7ed966e410c7da011dd21e
1
3,421,126,067
train
2025-09-16T02:27:49.638488
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 3421126067, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'2', 1:'5', 2:'5', 3:'/', 4:'7', 5:'1', 6:'=', 7:'1', 8:'5']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [4, 0, 5, 0])</answer>", "action": "('move', [4, 0, 5, 0])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "255/17=15", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "255/17=15", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
92c204505d381e25839b4d9ebe6797f86756557cc66e654bcaefff0f81209e9a
2
4,083,286,876
train
2025-09-16T02:27:49.655674
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 4083286876, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'7', 1:'7', 2:'+', 3:'6', 4:'2', 5:'=', 6:'1', 7:'2', 8:'3']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [3, 4, 8, 5])</answer>", "action": "('move', [3, 4, 8, 5])", "reward": 0, "image": 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", 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", "info": { "equation": "77+52=129", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", "info": { "equation": "77+52=129", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
5a39b7e70f9e4c7f73de04189d4914da752ebcbe552fcab0f053fa63f363a7c0
3
787,846,414
train
2025-09-16T02:27:49.670325
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 787846414, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'9', 1:'7', 2:'-', 3:'5', 4:'1', 5:'=', 6:'0']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [0, 1, 4, 0])</answer>", "action": "('move', [0, 1, 4, 0])", "reward": 0, "image": 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", "info": { "equation": "57-57=0", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "57-57=0", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
f04ebe3b99425b3fdcb2957cc5101c1fac3aa5377dd22236d9e20ea2f07112ef
4
3,143,890,026
train
2025-09-16T02:27:49.685486
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 3143890026, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'9', 1:'6', 2:'/', 3:'6', 4:'=', 5:'7', 6:'5']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [5, 0, 6, 4])</answer>", "action": "('move', [5, 0, 6, 4])", "reward": 0, "image": 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", "info": { "equation": "96/6=16", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "96/6=16", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
b53c289f1010d520f7bc4fde3c48bfcf92153fc56919be2a022dd8a1deb56735
5
3,348,747,335
train
2025-09-16T02:27:49.701463
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 3348747335, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'8', 1:'7', 2:'-', 3:'4', 4:'3', 5:'=', 6:'4', 7:'8']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [0, 4, 4, 5])</answer>", "action": "('move', [0, 4, 4, 5])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "97-49=48", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "97-49=48", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
2d9b2a2c9e7b74c2ef701b5715ffd56e42e70f6f035c7f5d047d5c999f1d7247
6
2,571,218,620
train
2025-09-16T02:27:49.716586
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 2571218620, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'6', 1:'5', 2:'/', 3:'7', 4:'1', 5:'=', 6:'6']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [3, 0, 1, 4])</answer>", "action": "('move', [3, 0, 1, 4])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "66/11=6", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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"info": { "equation": "66/11=6", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
7d09f0e41a78acb66303d46b076c381538961ba62a2e05b93960918493a3729c
7
2,563,451,924
train
2025-09-16T02:27:49.735656
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 2563451924, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'1', 1:'8', 2:'/', 3:'1', 4:'3', 5:'=', 6:'2', 7:'9', 8:'4']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [7, 5, 2, 8])</answer>", "action": "('move', [7, 5, 2, 8])", "reward": 0, "image": "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", 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", 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", "info": { "equation": "18*13=234", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "18*13=234", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
46f36fba5784965fe38bdea5388c02c3f9eea88f6087be38438f2e7f21057feb
8
670,094,950
train
2025-09-16T02:27:49.753719
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 670094950, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'2', 1:'7', 2:'+', 3:'7', 4:'3', 5:'=', 6:'1', 7:'0', 8:'8']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [8, 1, 4, 5])</answer>", "action": "('move', [8, 1, 4, 5])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "27+79=106", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", "info": { "equation": "27+79=106", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
006154d8f30a5f39a56a1ee79246818752fcace1cc86c0532e2dfc5b6b221ff5
9
1,914,837,113
train
2025-09-16T02:27:49.767258
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 1914837113, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'1', 1:'2', 2:'/', 3:'8', 4:'=', 5:'8']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [3, 4, 0, 0])</answer>", "action": "('move', [3, 4, 0, 0])", "reward": 0, "image": 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Dc+bM0dSQ+vrrr5OSkjZv3nzhwgW73U5aToCKiordu3d//vnn5eXlu3fvJi0nwIQJE1599dW1a9eWlZXJfA2U9STMzc09evRoWlpaamqqwWCQcyk1EEVRU89nALDb7evXr58+fXpycjJpLV04fvy4KIrDhw+XJElT99Ps7OwtW7aIorh3796RI0eSlhPg7NmzXq8XIZSUlCTzBV6WCefPn79ixYrS0tKXX35Zr9fLuZQaWK1Wi8VCWkUXKioqLl68KElSWVlZUVGRdh6Gzz///FtvvbVz585FixaZzWbScgIkJiYmJiYCQF5e3uDBg0nLCTB16tTVq1djjOfPnx8fHy/nUvRz2RQKYbS1Dkah3IdQE1IohPl/iewlxROordgAAAAASUVORK5CYII=", "info": { "equation": "72/9=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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Dc+bM0dSQ+vrrr5OSkjZv3nzhwgW73U5aToCKiordu3d//vnn5eXlu3fvJi0nwIQJE1599dW1a9eWlZXJfA2U9STMzc09evRoWlpaamqqwWCQcyk1EEVRU89nALDb7evXr58+fXpycjJpLV04fvy4KIrDhw+XJElT99Ps7OwtW7aIorh3796RI0eSlhPg7NmzXq8XIZSUlCTzBV6WCefPn79ixYrS0tKXX35Zr9fLuZQaWK1Wi8VCWkUXKioqLl68KElSWVlZUVGRdh6Gzz///FtvvbVz585FixaZzWbScgIkJiYmJiYCQF5e3uDBg0nLCTB16tTVq1djjOfPnx8fHy/nUvRz2RQKYbS1Dkah3IdQE1IohPl/iewlxROordgAAAAASUVORK5CYII=", "info": { "equation": "72/9=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
82967f788cea9d54e6937a839bf0ad508c2c6d96c8df6589fd59b2616f57ee14
10
669,991,378
train
2025-09-16T02:27:49.785183
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 669991378, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'1', 1:'0', 2:'-', 3:'6', 4:'*', 5:'8', 6:'=', 7:'6', 8:'8']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [7, 4, 2, 7])</answer>", "action": "('move', [7, 4, 2, 7])", "reward": 0, "image": 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", 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aAGjctKnliy88zo0QKX7/o68baqBj9MhZWhpicaR+8Ctq4Jgn/2LdugPGT+y7wsuR+Lvf1axbx2Ac8+STDK8p+dkn1O0uf2QZUOpJJo8/fPbIx+sbOIQJBQBKadsf/5j583nhK+6wrdt68c1VwQU3cNEDnkHqvnix8plnPK90FmDsZ/t35//NRVSP61VFcX+5fsLzP7EsmV33//+H+eYgfVjudw73sOoJiyZPGfPazwwzMxmVHv+htPGxd274Zh+XkgwAzmPHTsyYQe12z8aa9YRNn3xSvGAB6uj0Y4BqK5afu40VeCCUUsobuMm5GSxnJIrTGneNtsZPv3rCsDEx2VnjFbuTCTKXzXkibMF/xP/3KxoMdcXVWGSv3OHpL3Ece+DAURd/xU23PTSYOvvSE3rOBaGc/IkhRiNlGVfhqaoH1mUdPDA6pUz96gkDIsInTcokdpEJsVYsfNackp+y/v2BWrmsnlBSAEAlJC41KS05QXFJiGXO5T0c/+J/Rz70YN91DqOesKycCeW53BQqKypAckoCzxDxQqUnCMVz5xS7vfO21qwndB0/TgjpOiQVh4zJM/JxkMWTjqOUyrIbgGKGl5pLhNAshAacb/BJT+hwAUJEdAcunePYdWCgJnpiCEhy8UeJ244w43S69h0+c8/jjw+yzj70hFRsH2h2uxXVrYCi8hmJTIQgnTs/OoPQJz2hQwQExOEKXHpV65/2abByWT2hq30Ck6qqilP0lFlvybcXHozs7zk5fHpCQJgNMDMBJuKQKAKj2ShYzZ15GsSyXp1obXrCngfmEZVhSe6RE0eq3NaL1MwXKwPRE7KxYW7ee16FBjBnMQSnOmsPMphtampOyZgeG5886EovqyekUvfZHpQyASY2wKzhmTU8DEhPyMaGYoOWJnFfekKvLVmGjQlFdf1HyvDpCQGIfLHJXd0ILAYGy5UNcm0T0E49Ya9qwwEP2vacP0ndymWmL1HWFAm9TnnojwHoCSkVj571RVTWL4qrXmw4jjBLCP1m56HDez49VVQ4yDr70RN2BWOl2iZfbAIYpZOZBqAnREj8/ixxuYbMSm9QWZGKynyJlGHUE07IYvgg6XQFMnDIwEmnylljmHBFuqfUPGmSENNNuqZNTxgwbx5rNHatJ2BmpiE0gGVwV7EfABDi5i3x2p7rPugJWYZlAABxrOProyGLfUpV943bUUVUF0LY4XAJgrD45tlnfhhsK7cvPWHHuXAcizBCBk4qqWCw1ZQzYZBG/YQvekKP65GBc3xxKPjmW7RYuZyesMvlYhgGMKaK6tpfErKwfyvDqyfcvLls2X3Rr91LFVL1i7dT3non5OabO0vr33nn3N13w6D1hBeWL7+wapUnOypxzK4fT1IiAkFRPS89SojFbLx9yfzAmDwhLAezWtQP/eoJiSzHx0QsXHRt5aNvITngiq+/Qdygku+UuFvOblZcDRzPb99RKMnuuVfnrfvrtoef/h9rQPBgar68nrD9llaczgULro12KBWPvpX8+trQJRrzsSOvJ1SU8EDzbXfeWLfyffl0S1bhAWwc8FfwLq8nbN9AEcWs9OS5s6ecv/u35owrx32wvv9KffzW4sn/um8XwH6Az4KN+3Z+7ONePTk4e+YegAMAf48LKDlb5FVaODl3D0AhwMb0qPLqs9pMKHb798nJuwF2A1S//rooiS6ns+uf6HIS1a35FDw0HTrwLYDnc50fPHSrS3R1NVH51efbADwfwPzbU/cO0hal1NVwsu77NxqOr606vPq5h+eU7f1ta/Gf/vbmHf/cuHbwlR+747bdAIUAn0Sa9+/53OXqdrn2Xj9vF8ABgM0xlh9OHdJmQm1rO5KYuBdgD0Dprbf2uo3b1agqrkGcB3WcL9vJ4H0AhQDv3XZ1q9jtRGoPH9zW8b3QD/7zZtJ/fb1TvWXztwD7AHZzzKYXlnm5vvRPb28H2A/wLYP+ueY5Xyocbj1h6ey0CSEKh3HIzHFefdmh0hMyZnPimjX1GzeyJlPUAw8gPwxJQX96QltUoFwwIYi34qTwuoz4wZtTxDoAzDC4urouOTEqJCTQLbvzpkzYcfAcBYo09Ww76VtPWHFlSoahlceMc+a/tp6wJiyg7ZbceGzEscFVuemU9pxR4xN96wlrE8Px9TlBRrOaGeOI8amRMqJ6QqVbF38I9YSB8+YFzutlKtlQ0ree0K2GPnhTdEaq5HTQfTWDNdVWIdpOYsy63e6vtu+/ftH9lLZS6rZYrI2VXxfu3Jo/u2Aw9fetJ+T/r+gJqegOvuva6MlZiizBjmKg2rJy/ekJEYQ/tVjXEw4TfesJicsjKhsCtaEiNlKiYFawN7ckZcyYOGORo2aPXHeY4w3zr8k/V312sAb+TfSECKgoE7uLKBrf553oesJ/L4gqiQ3HEGIxRjt2HrAGxQCAZ7YdUWlIaEhp0fba6oqRPsy+0PWEfaMH4ahGlZrslTtUuQ1hxuFwtsnWawvuBAAhKI0PSCBEMRqFpQvnVJ3+snPEdRQyMD2hEPbvpifUg3BU47ZXirYfEGYZhjl9+syY5AkGT9YEYc4cR6lKCBUEY1IMR0fx28OjJ+w2CDwlVRgT3nV4rWPwdrB6wn9Fhv2RM1q/bD9QhuFr8JQSsakYMzwAIKBOCSbOvPQpJ0NQiqv+KFUlipBbtktNJUKo1s/y+tkpw6YnHJ5P9COGGdoPSPkahKqqaswldcFLT8h2HyrFGPU2iWqUIl2sJZ2z6nr4nuV4MgS5JarKbZ7LLsvinPm3WsdkdpZhxth1Q1VxaDSiEqm+HtLbR88ZwXv2wpB8smx49IRyfb0qdyRdMOa7z/PkeGEonAJiTQ2H2xeqQqz3AWOGI9LArPh6zrGxkQzTOKCqe9JVT4gRLtu65XzqCehwBiE0wMKO2vnBXVFbWpuffTr0V/MJJYhh1Orqwk/WtzLQqSd0ttaNjwke9DMFcaZIufUcACDM8F7LJyDEGMMU+wUABmGeFcK02bC9v95yaB97XRpQwAxT/fUXjbU1nWlSQojAKQwzBC0mf+sJiSQ1PrU89KcTCKWAMbU17f/7u60mrlNP6HI0J4QFDzIO3dXVrtdeDX3pDkIoYjix5Ic9n37oRLRdT0iIq/lCdkoAHcijy9eLm5Ge0naxhQKltNdJv/0jlpZeeP432a/9zPMvZZmK5SsCll3PJkVB+6AtzZuS45n+Qwgd0GkMM9UvvmQ6UxKfdI8iubHA2YtOlv3lH/z/W3RJTxgaEhWVoSgKAGj2OkKYD0gQm4sxgxFiuIBuEmeEWd4S524tQxgBI/BWLVMC3DU1Zb/6Zdaj8zHLUlkBnq96/umgO+ewOUkePaFKyKTcLIQZ6Jhcpe1cAMCcl5eSl6d5936pe+ttumd3yksLVZWwBk4srzj323sNzyzFAO16wgBrfFy2qqpoEE4pf+zxSNERERWuOkRk4Ju/2UG3fsnfN/+SnnBMdHBwiqqq4LMVn4KQKA6HrRRhTAgJDw+Oj9aymIaXnnDs2DF8bHRCRoZpZmbnPHRZdhNKqaKOT00IiwrXYGV4sB84EHD7HLVDpTZ1Wg45UZfY2/qECKFpedpnPBsCk81R08SGYwGJBbhHukIISSduu9RcEji2QNun3d119cCIhtkTqCQTClEx4ROTk2OTU63zp3fVExJCKEXx8TFBCbGaz8XfOAoPWBdMowIHkpsQMmXqBNenx5Oumg4M9lqfkFCSnzdBW0fYUXQs6P5riKIAAMMw06bm8IfPjvHSEyoKABgM/JTJ4/uqqwPf3oRUJYoDAaIUOJY1GTUlr3roCXmzILkVpocMj1JqFHh+cDOe/QrieTY2rLOPHBQaWIcuqye0WrWvlY0YwRyVb4qc0muMYdZoiZ1ljpmufXEFhBmrmQm1UlmhAAZBMFpNkqLwPfSElFLBwAp++Kr8UIE4jo0J9XwwjlIaGBLoYJAkuwGjnoImzU7BBgMbG+qpECEUGBrYSnvXE2KETGaf5AE+PQ0Q5lkhFCgFoJgRsCFoYAfejree0F3b3LvcixLMB4K2ORPDApUk8ejZ9pQFAuexc94S2EsgRhjsK73vGBvM8iYA1F3fJJ+7CCwGjJX6FulC/eXkl4izIM48CFv+hbrdYlFZ+3MQY2dRGXFIl9Nsa3YKcbnE78+1zzpVifNY2WWn8iGG8a2j7lsQMgJniqZEAUowa+JM0b4echd66AkvMBxjzkpkodtgEUJAicIaI/Ao9nfI4sX2r7/3ZMaQgXN8dTRw3qShXZ9weDDExxmik8XDJVgwII5VKuppq8OSl9ZVT8iyDEKIEoXlgxjDoGRTfiV44ULX3tNACGCEjbxj29GAWVmcWRja9QmDb7rZ/uVBJHAAAAi5dh4Pum6K14AngzEAAYQMvq3I7ZOeEACI2+Go3u121gaOvZERNHrCtnnz2Yd/HvvG/VQhtY//8buMiJZsz/qE7Q07SuiSxdeMSZpoip6BuVH8SWlFKb7+OoXURv/u4Yan3y3bVbRvYS7Lc3To1iccNtp27T69uCDyN3dxY8Lr7lu9NyGwNj+5m55QURbcOCclPccUcxXD++UjrkMDhTN33G4/vW/MO79q/sM/L2z67ruFOdhiHOL1CZ2uE9PyuCuCIn59R92Da4rPVR1dMJGBLnpCRZmQOW7etVcK0dfylljwIdvvaxACAAAFSgaz4B4AlNx8S/0nHwNAxKLFCR++TxTv9BHPs5hhBz8m6W+cRUXHcyYSSgDgim+/NeRPHfL1CYeNsvsfqH77LQQQNGNmyvZthBCvVhzHswzDjP75VfKFC8fSxisuJwVI27TJfFMBqN3OZPDrEwJA85dfnbpuPgAwLJdR9D2TlOTleobBHMf67voBPaHR4G+p+NdfY8LCEEDsil/znAFGbz+/H0wTJiSufrPt6FFTamrgaF1R2Efinlvpmd4ZvewR3j/yy+GBj4tL+uO6pm++EaKjQ4fikyK9EjR/XvzKla7y8sBp08zpVwy+wgG9CXV0dIae0d7A0NH5P48ehDo6I4wehDo6I4wehDo6I4wehDo6I4wehDo6I4wehDo6I4wehDo6I4wehDo6I4wehDo6I4wehDo6I4wehDo6I4wehDo6I4wehDo6I4wehDo6I4wehDo6I4wehDo6I4wehDo6I4wehDo6I4wehDo6I4wehDo6I4wehDo6I4wehDo6I4wehDo6I4wehDo6I4wehDo6I4wehDo6I4yvQdjc3PzSSy8dO3bMr0cDAH/+85/Pnz/vVxMlJSUvvvhifX29X618+OGHq1evlmXvBVyHnI8++qilpcV/9R86dGj58uVbt271nwkAOHXq1AsvvNDY2Og/E42NjatWrVq+fLlfb+OWlpZVq1Zt2LDB9118DcK9e/eGh4cXFhaq6mXWJR0KioqKNm/e3NDQ4D8TAHD48OGoqKjdu3f7z0RlZaUoiiaT6fjx4/6zAgBNTU1r1671a6hXVVVdddVVubm5/jOhKMrBgwcTEhL86hSLxVJQUBAeHi5Jkv+sfPfdd6mpqY2NjeXl5T7u4msQlpeXL1y4UJIkURS1Hl7/ZGRk3HXXXYR4L1o4hBBCsrKy8vLy7Ha7/6xEREQsXry4ubmZZf27POihQ4fGjh3r16W1FEWxWq0hISH+M+Fyuerr67OzsxMSEvxnxWAwZGRkWCyWzMxM/1kxGo0ul6utrQ0hX9fY9DUIZVk2mUyUUr9GCMMwRqPRf/UDAMY4MzPz1KlTaWlp/rPC83xzc/OZM2diY2P9Z0UURZvNlpub67u/NVBbW/vhhx9u2bLFfyYopSdPntywYYNf31EAUFNTIwiCyWTyn4nY2NgtW7ZUVVWFh4f7uIuvQciyrCRJCCG/+hsAhmG9RJvNVlFRkZ2d7T8T1dXVVqt10aJFZ86c8Z+V0tLSrVu3fvbZZ35t9M6aNeull14qKyvzn2tUVc3Kylq2bNmhQ4f8ZMJDWVlZTEyMX00cO3Zs5cqVs2fPrqys9HEXX4MwIiKisLCQZVlBELQenk8QQvwdh19++WVmZqZfG4p1dXU7d+5samryq5WkpKQnn3wyMzMzOjraf1aKi4srKyuNRqP/nr88z4eGhlZXV1ssFj+Z8FBcXOzXFhAAGI3Guro6m82Gsa/B5et2M2bM+Pvf/56enu7vTk5QUJDZbPZf/YSQY8eOvfvuu3v27PGflczMzCNHjpSUlOTk5PjPitlsTk9PnzJliu8tHw3ExcW9+OKLU6dO9Z8Js9kcFha2du3aq6++2n9WFEUxGAx+7SAAwMyZMz/66COXy5WUlOTjLvpy2To6I4w+WK+jM8LoQaijM8L8L9pEZA0MBE63AAAAAElFTkSuQmCC", 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", "info": { "equation": "10+6*8=58", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "10+6*8=58", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
91638b5018166ce9b2e8f02570fae520eec35f0082eb5d442402f479dad28829
11
429,389,014
train
2025-09-16T02:27:49.800530
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 429389014, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'2', 1:'3', 2:'-', 3:'2', 4:'8', 5:'=', 6:'9']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [4, 6, 1, 5])</answer>", "action": "('move', [4, 6, 1, 5])", "reward": 0, "image": 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+JQEzCvgJEcMELQQZI0EUieChXb2DUVkW7BHm7iUUP2GQ/Ck1m/U6RYbsQ/ATdrUrn5aIAL4nfsLguxHK90/AN9FPGOzviDVhXhnrSkh+wgAQi1v3nZBlBfyEVJKCFwKh158YhDDPmbvdJxaUEP2EAX8mjC4OMUrcDUPzEwbTAK27vqUA3yM/YQCIxa17jssAVL5uWXWmG37Cjj8GYwCgRGJ4K29WpgP9xn7CDj+OYxFGgABHGZre22HMGGwaOTJCAcasrKj8/EANMbNG6pNsLMb+hcBgAABKALP6GGXsCyH5CTv8EEIAQIiHN/fDvAJdxCH5CTv+OBYQAoyQjm18c0vc/fd/X/yEfrURIUAIWwz2/y2xDB1mzA7XT3hy+vT2CMYAp5Ojy+7L6+An9CGJ0tDcjMl35TFRgwxxuYwuOpKzvcaN/YTtoonU6pr/4KyEeNu5J9e7vj2bvWe/MSszcglCbW3p0KGS3Y7aBFyNNe+5fyhnMlBZ7qhBlqXkPgnz7puM9L3Nvccw+phgX3sIh/MvvHB2xQpouy4Y4HBuUv3UHCz4P+olUZo5fUxmRgqfMEZnScWcSREBIfgJfVBRMvDMokVzaX3juaV/YYyxOTt3M1FRishQ3084f/7ljz5qfzNEAF9OG+zOTQG/2kiI7BZ++NCcGLOp7vE/ec42Dtl/SNe/G/NXO/kJy3/36/rf/sE7+OCKtdT955PzHvtN8JEZBnMcq/jITEh+QoDWc2cPZGRYCQAAB7B3auaPNx1Uyk9o37Ll5D33EFEEAN5qzdy7F6elQrCPOWCMeJ4DUP6rKgenT/YUb8cALMCZNGvMhtd/MGZ20DdzjmMZBit+IULxEwJA/Wf/Kn9gvtXbTtNx3zx+72NF/08ZBT3AT0hcrrK8PMeJE96rm1ZUZFvyOJH8G9uOivJDucNiAACABdh3z/DFnxwI309YltErZubQGKOJUIialXsBGfU6Bb7g1A1C8xPao801c4dORmaRENOgviZF/YTWGTP6FxW1fP01BYibO9c4SJl2Zrc4PDrlTsNonsEcy7bOyAQCer0yvV8hEqKf8EKfGMfMrDSj1UOoaULWt7eXnxAbDAPef//8yy9jAD4hwTd3KqA2NtgsdffkDOSiPYSYcyL2E2KZ9PqPgsSUfoTQqxfq6VFnpOfRfULxE1JBNN81pPdN8xMmLFkS/JZ7q+Cs5sQXF3G8nuPYC/u+vnkzY7qiG37CxbevnxDAmJMz4Ia10S1alPUTEqdAWlyEUCrJPdend9v7CQklLW7CU8Kxqjs2v79+whDR/IQatx+an1BDQ2U0P6GGhsr0ID/hLaFTc7Rbc21uEqH4CW9/sMo3R3XXFOghfkIAsG/ZUrt8OQLQJSdnfPrpTZqR16msW8+cpTFtYxKUosDv7LVBiSgLjQwfjRglPU0h+gl5nUG6/hSq7zLE6RQuXwbUtsAYpddZ6oOITiK1soY4paYKeHHX1kpSJ8cGZwrS584w3E3que0JfkKhtrZywQLRbkcALceO1Tz5ZOorrwQm43h9hLXxWhBe+e/1un+8HzXl/3iH7xHHCWVfH9j0XhOmfn7CnKwB0Xqn8+JRnfUOQ2wOH5UaiYJ2QvcTCq6W1NSkoFMcbwNqH30iga9ljXd5TUOI469u27pTcAti52VgEMofkUVbTgnNtcaEfL31DtaozMCKu7Ky4dHFKasKfCWMELjcx//2+qWEKNTBTygT0tJYNyCx1026ED3BTyja7e21seHVV6WUPqeHD/TzE7qcTakpEdVG33k1lZRUPPvssMWTbDEWqcWNEMI63dXirbV//wT/dr6fn9Bhqdb3isWsSWiuJmKrUkFY+8wz9p07/UaHzvzu9xcC/IQGo37Y6BHtt2pZJjfH6K8C9UXrzm3825i3lmGMKcgAADrd+XVrXdv/pVs8tbOfEBzx53R6I2ZNrQ0HEKWKBKFkt1fMm2dubEwfliW6BQAAjMTm5opFj8q/nKEb0MFPSEhS7/jUlEGi6LtFyt2ZtRwK/dauVfaAoXN6yZLmAwf8/IQ1y1c2BPgJLRbzkPxhonitNnY3L18QOg8ewkZqXjhRahXAa40xmSZNH4vfLAnqJySEAFCMOVm4KtgrdNaB4ZxoZ7rnJ2xbtlaSpCmTRlnMt8nnt+2bt1hGD2SHp3svsyTJaf376PIyoyjq2k9IMWtwN1Xo47IZXaSTp4nT2XL0aNL/fUQivoiSJDJl2pirRVv7Z2YZJwzx9xO2RSDCaMa0sRHm3nPonp+wrRAkWZ465U69vnvvaG1+Qo5j9DzbJ444Wr1vnyzH2OJtlwCu4ycEQFQWZEmZiTXh+QkppdHRJp+h4bsP4nSszcxYTbK9FRBQSo0mozna4rnquJ6NDZDscVBZifUIEEIAfNq1PkZKqC3edjUEP6HNqswM8p5AeH5CSqk12oiDLaF5vbx8O0ui6HC7j1T5vtmGkOx0O/edvIGFDCjmzKw+rltZdkV4fkKghDH0Vn4quUpQURBqLolnLwOLAQAY7Km77D5dfwN/GiWcMQGzSsQAIRSgdde37XdexGLn3hMEoEtPcxuM8VZ/Fe7mEZ6fEChhDX26+7UhX+qYu+9m9VbH5wewxQAAwDLU7XH8c1/cT6b2TD8hyzLe7mIie3QxGQjfJlN/En7+lPt4nVBehw06AMAGnXCqzvNtbdxPpt46P+H9919983OkYwH7PHJNG3eYslKC+wl9nxulQGRDbDdMdD2cbvkJWdb7TQZKZI/Oltndrw1dszI1FW8tX1BgHpOZsHaxc1dZ4+r3Kql8rNP6hD5U9xMCgEzkhfNmJsTbTMnTWGOCsiMl6nJ+9fN1r/zRtmBizOOzGl/7rOXvOw70Mpyfmn3r/ITNzccnTvA01ye9/DibEHPh8T+1VF7YNjUD+sX5+wkJNZr0ixbO5gxWS79pjC4G3TZNkpD9hABACf3RgtkxNqu573TW0Ku7jqrO6xOuK6pa9oz3c5fmAQMzvz7kvz5hG+r6Cb3wPIcxum0aoh2pfHB+wwfvey9EQuGDKe++478+YRs3yU/oPnWqdHie6GxBAAB48OZPDVMn0wArHQAgBDzPI4SU+uJjzyFEP6EXXsdhFGZtRH6f8a1bscJTX08AJS192piTE8YRI8R96lS7n1DFHmp1kR2O2meeAUoBoZR16xRb+7Y72DdtuvzxJwioOS8vYcmSWy+gJ9BaWtruJwxl1cDw8A9CDQ2NW8zt1oTQ0PjOoQWhhobKaEGooaEyWhBqaKiMFoQaGiqjBaGGhspoQaihoTJaEGpoqIwWhBoaKqMFoYaGymhBqKGhMloQamiojBaEGhoqowWhhobKaEGooaEyWhBqaKiMFoQaGiqjBaGGhspoQaihoTJaEGpoqIwWhBoaKqMFoYaGymhBqKGhMloQamiojBaEGhoqowWhhobKaEGooaEy4QSh0+lcu3btG2+8obiabvHXv/51y5YtKgr48ssvn3vuuaqqKrUEnDlzZtWqVRs2bBAE4capbxpNTU3r168npNtrtStCWVnZ8uXL16xZc+rUKVUEAEBpaenKlSt3794d3u7hBOGnn35qs9laWlp27twZXq6RU1xc/Nlnn33zzTdqCXA4HLt27RozZsy7776rigBKaXFx8ahRo5qamvbu3auKBi8lJSUbNmzwLld666mqqsrMzLzvvvt69+6tioDm5ubi4uJx48Zt3brVbreHcYRwgvDIkSNz584dO3bswYMHw9hdEcaNG/ezn/0MY9Wa0x6PZ9asWaNHj25sbFRLQ2FhYW5ubkNDg06n2hqpV65cKS8vz87OVmt5L6fTGRsbazKZLGosIAcA58+fb2xsTEtLGz16NMuGs2J0OJXY5XIZjUaDweDqYpX5W4DBYDAYDCqu6xYbG5uXl7dp06Zx48apIgAhFBUVdejQoUuXLqWnp6uiAQBKSkrGjx+flJSk1pPw4sWL27ZtKyoqOn78uCoCRFEsLS19//33y8vLOY4L4wjhBCHP84IgeDwenu/essDKovrKilVVVeXl5TNmzFAld0mS9u/fP2fOnIkTJx47dkwVDXa7/aOPPvr888937Nixf/9+VTSMGzdu1apVs2fP3rp1qyoCCCFDhgxZuXLlmTNnLl26FMYRwnl6Dhgw4ODBg/X19YMGDQpjd6WglMpy8JW0bwGSJL311lszZ85U607kfSdMSEiw2+0pKSmqaDAajc8//3xra+vx48dTU1NV0VBWVmYwGBwOh9VqVUWA1WqNj4+/ePEiz/PhVYZwnoQPPPDAJ598UlFRMXPmzDB2VwqTyZSYmKhW7lVVVWVlZW+//fbbb7+tigCO4yZMmLBy5UoAGDt2rCoaeJ5PT0/PyckZOXJkfHy8KhpGjBjx0ksvHT58uKCgQBUBKSkpvXv3/sUvfjF69OjwCkFbLltDQ2W0wXoNDZXRglBDQ2X+PwV0pY5ouLN9AAAAAElFTkSuQmCC", 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", 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", "info": { "equation": "29-20=9", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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eMEj+lJrNep0iU/YIIQA+5Wo8U0KtcdYrAOCjkevOVz8cPWHw0wjlB9vwDdQTBvs7Yk2YV0a60iM9YQCIxW2HzsiyAnpCKknBnUDotRcGIcxz5l6PiQWlh3rCgD8TRheLGCVaQ0IoQNvX33W2vIjFzoNnZAAq++oJg/vqh6UnDACxuO3AaT9fXZde6Al9fwzGAECJxPBRvFmZAfSgekKdr57Q58dxLMIIEOAIQ/P7e43DRpjGjQvTAGN6ekROTqAN0QvG6ROsLMb+TmAwAAAlgFl9tDLyhR7pCX1+CCEAIMTNmwdhXoEhYtZqjb3nnsa3P0c6FjAChLDFYP+/Asuo0caMqxq5oL76YekJ/Woj6tZX16WLnvDs3LmdEYwBzidGFt2d7aMn9CKJ0qisYTOnZjMRww2xWYwuMpy7vUqHeqXzQY4Bvp5+m2NsSoeesNNoIrW1L71vgS3OevGJV9u/q8o4cNiYnha+CUJlZeGoUZLdjjoMaIwxH7hnFGcyUFn2tUGWpcQBtiV3z0T6/ub+Exl9dLCvPYRCzYsvVq1eDR3lggGOZyXUzs7Egv+jXhKl+XMnpg1L4m0TdZZkzJkUMUBuaTkzY5roaIjf+DBri6555BV3VdPIw8d0g7usyRQqK78bM0ZsbPT89xbUEy5devnjjzvfDBHAl3NGuLKSwK82EiK7hB/fvyjabKp+7A9BfXVtuugJi//zV7W/+Z1n8qE9xlL9H08sefTXwWdmGMxxrOIzMyDLRePHNx8/7hl3H7xuXezPnyUBawXbLlYdGTYsigAAcAAHZ6f9y/ajSukJ7Tt3nr3zTiKKAMBHRaUdPIhTkiHYxxwwRjzPASj/FnR07kx3/h4MwAJcSImK3vznH01cGPTNnONYhsGKF0TL6aKj6Zlmz/cOAQ7dOWbFtiOBGrmaTz4qvmfJraonJO3tRdnZjjNnPKWbsmmTdeVjRPLvbDtKi49ljY4GgGv66hp0GcwoGtYvev6oaKOJUIhYkHUJGfU6Bb7g1AsYZsjWrRdffhkBsNHRCc8/DwAQMNxgjzRXLB41E5lFQkzDB5oU1RNGzZs3eNOm1m++oQCxixcbhyvTz+wVxyck3W6YwDOYY9m2eWlAQK9XZvSrhzRFGMruzJzBRboJMWd2q5Gr7B9xC+sJscEw5IMPal55BQPwNpt37VRAbayzWqrvzBx6PV9dgy5BiGXS799z45MGEUIbL9XSk85w76P36G+7LfW6UjpBNE8d2f+G6QltK1cGb3JvFlyUOf6lBzhez3HspUPf3LiVMd3RU43cra0nBDBmZg65bm10iRZl9YTEKZDWdkIoleS+q9O75fWEhJJWF+Ep4VjFFZs9QtMT9hxNT6hx66HpCTU0VEbTE2poqEwf0hPeFLp0R3u11uYG4di3r/xnP0MAfGzs8C++gD5gkgpglRtHdfcU6CN6QgCw79xZ+dxzCECXmDjs009v0Iq8Lr5uu1BFozvmJChFgd/Z64ASURaaGD4SMUpqmqS6utL77hNqaz36ibKHHkp9993AZLzOIHX7YvC9hzidwuXLgDoEQZReY6sPIjqJ1MYaYpVaKuAhUE/ImYKMuTMMd4NGbvuCnlCorDy3bJlotyOA1lOnKp54Ivm11wKTcbw+zNp4NQiv/PFV3d8+iJj1b57pe8RxQtE3R7a/34ypn54wM31IpN7prD+pi7rNEJPJRySHY0EnxOksycsTams9TwEGoGHLFjo4qWJipp+eUGhvTU5OCLplwi1A5SOP2/hK1jgVRBkAEMc37t61T3AJYtdtYBDKGZtOW0uElkqjLUcfdRtrVGZiJVBPCO2u03/5c4MtAolXa5tMSGtT9ZD4fjeoIPqCnlC02ztrY93rr0tJA86PGeqnJ2x3NicnhVUbvffVXFBQ+uyzo1fMsEZbpFYXQgjrdI35uyr/ug3/ZqmfntBhKdf3i8GsSWgpJ2KbUkFY+cwz9n37/GaHLvznby8F6AkNRv3oCWM7m2pZJjdI6H/zqd208eLWv0x8ZxXGmIIMAKDT1Wzc0L7nH7oVs7vqCcERd1GnN2LW1FZ3BFGqSBBKdnvpkiXmpqbU0ekePSFgJLa0lD7wiPyLebohCdARhzIhCf3jkpOGi6K3iZR7s2q5JwzasEHZC/ac8ytXthw54qcnrHhuTV2AntBiMY/MGS2KV2tjb/PyBqHz6DFspObl06U2ATzSGJNpxtxJ+O2CoHpCQggAxZiThUbBXqqLGhrKjXald3rCjm1rJUmaNWO8xXyLfH7bvmOnZcJQdkyqp5glSU4ZPECXnRZBUfd6QopZg6u5VB+bwejCXTwdVE84a87Exk27BqelG6eN9NVzEJl0RiDCaN6cSWHm3nfonZ6wwwmSLM+edbte37t3tA49Iccxep4dEEscbZ63T5ZjrHHWBoBr6AkBEJUFWVJmYU1oekJKaWSkySto+P6DOB1rNTNRJtneBggopUaT0RxpcTc6riVjAyS7HVRWYj+CbvSEjT77E3Z3qjVKmRXkfYHQ9ISU0qhIIw62hea18vKeLImiw+U6Ueb9ZhtCstPlPHS2+4lR73mYM7P62F5l2R2h6QmBEsbQX/ml5CpBRUGoaBCrLgOLAQAY7K6+7Dpfex19GiWc0YZZJWKgGz0hAehW09wBY7zZX4W7cYSmJwRKWMOA3n5tyJs6+o47WH2U4/Mj2GIAAGAZ6nI7/n4o9l9n9009IcsynuFiIrt10cMQvkWW/th+9qTrdLVQXI0NOgDABp1QUu3+rjL2X2erqCds3rrXlJ50dX/Crj8AAKBAZENML0R0fZxe6QlZ1vOdAUpkt86a1tuvDV2VMjXn7ypelmuemGbbsML5dVHTuvfPUflUl/0JvaiuJwQAmcjLl8y3xVlNiXNYo03ZmRJ1qVn3QvVrv7cumx792IKmNz5r/eveI/0MNbMzbqae8PT0ae6W2oRXHmNt0Zce+0PruUu7Zw+DQbEd+xN6oYQaTfoHli/kDFGWQXMYXTS6ZbokPdYTAgAl9CfLFkZbo8wD57KGfr1VVHXdn3DjprJVz3g+d2keMjTtm2P++xN2oK6e0APPcxijW6Yj6su5+5bWffiBpyBsefclvbfFf3/CDm6QntBVUlI4Jlt0tiIAADxix6eG2TNpgJQOABACnucRQkp98bHv0EM9oQdex2EUYm1Efp/xrV692l1bSwAlPP2UMTMzhCuGiaukpFNPqOIItbrIDkflM88ApYBQ0saNimnVe4N9+/bLn2xDQM3Z2baVK2++AX2BtsLCTj1hT3YNDA3/INTQ0LjJ3GpdCA2N7x1aEGpoqIwWhBoaKqMFoYaGymhBqKGhMloQamiojBaEGhoqowWhhobKaEGooaEyWhBqaKiMFoQaGiqjBaGGhspoQaihoTJaEGpoqIwWhBoaKqMFoYaGymhBqKGhMloQamiojBaEGhoqowWhhobKaEGooaEyWhBqaKiMFoQaGiqjBaGGhspoQaihoTJaEGpoqIwWhBoaKhNKEDqdzg0bNrz55puKW9Mr3nrrrZ07d6powJdffvn888+XlZWpZcCFCxfWrl27efNmQRCun/qG0dzc/OqrrxLS673aFaGoqOi5555bv359SUmJKgYAQGFh4Zo1a/bv3x/a6aEE4aeffmq1WltbW/ft2xdaruGTn5//2Wefffvtt2oZ4HA4vv7664kTJ7733nuqGEApzc/PHz9+fHNz88GDB1WxwUNBQcHmzZs925XefMrKytLS0u6+++7+/furYkBLS0t+fv7kyZN37dplt9tDuEIoQXjixInFixdPmjTp6NGjIZyuCJMnT/7pT3+KsWrdabfbvWDBggkTJjQ1NallQ15eXlZWVl1dnU6n2h6pV65cKS4uzsjIUGt7L6fTGRMTYzKZLGpsIAcANTU1TU1NKSkpEyZMYNlQdowOpRK3t7cbjUaDwdDezS7zNwGDwWAwGFTc1y0mJiY7O3v79u2TJ09WxQCEUERExLFjxxoaGlJTU1WxAQAKCgqmTJmSkJCg1pOwvr5+9+7dmzZtOn36tCoGiKJYWFj4wQcfFBcXcxwXwhVCCUKe5wVBcLvdPN+7bYGVRfWdFcvKyoqLi+fNm6dK7pIkHT58eNGiRdOnTz916pQqNtjt9o8//vjzzz/fu3fv4cOHVbFh8uTJa9euXbhw4a5du1QxgBAycuTINWvWXLhwoaGhIYQrhPL0HDJkyNGjR2tra4cPHx7C6UpBKZXl4Dtp3wQkSXrnnXfmz5+vVkvkeSe02Wx2uz0pKUkVG4xG4wsvvNDW1nb69Onk5GRVbCgqKjIYDA6HIyoqShUDoqKi4uLi6uvreZ4PrTKE8iS89957t23bVlpaOn/+/BBOVwqTyRQfH69W7mVlZUVFRe++++67776rigEcx02bNm3NmjUAMGnSJFVs4Hk+NTU1MzNz3LhxcXFxqtgwduzYl19++fjx47m5uaoYkJSU1L9//5///OcTJkwIzQnadtkaGiqjTdZraKiMFoQaGirz/9qXugA8h2/8AAAAAElFTkSuQmCC", "info": { "equation": "29-20=9", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
709ab9a95b390fe7795fd5873656d79271e8ff66a62fc2a7f33cfdee6226f3c9
12
249,467,210
train
2025-09-16T02:27:49.817610
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 249467210, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'1', 1:'8', 2:'0', 3:'/', 4:'1', 5:'0', 6:'=', 7:'1', 8:'5']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [1, 1, 8, 4])</answer>", "action": "('move', [1, 1, 8, 4])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "160/10=16", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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kf5UTQD2h7O3w2I8ghBkG7/iydPrch4dp8MoESk8otduB8RpmTaCCSCgkjY6XR1ndVVW+IBRbW0W7ve+B0/WEoFJP6Pb60mx3Fjv3H4z7zSA2R6SekFBmlI2xWTQsK0IMy8ZHIANLJZkSaouw9phNfV3wQInKBqII3ZTKGHMet2tUfGbxzLkBMXtZAqUnRJixWZgoGxVlCsAbDZZwG1xQDA4sMl1PqF5PiFiGTYxC7YMXyojUE7JYPNsm2bsusd5lUC9EFk40EqcXEEIs9p5skB0/aPkGavACsqqTyB5XawkAZhj8ze6DjDFm+DYHgQZGTwhAJXuneKYVWAwYy/ZuoeEcJefnyqmi6HrCQc+6nJ6QirJQUasmUkaYnpBjEULIZPAeOcXHjjGkjRmql4h5c8WTbUqPCxiMzbz723Jb0XTGev53PiLmz2cYpn8eAqInVMQexduBEKaE9Hr5BfctH6bBQQmYnjAl2ZCQ4T1UjY0GxLFyXRt1Yuv0ab5UY2amedw4XU/od9aV9YQcxzIMAxhTWfGUVo9aeOegNkeYntDjXfLTebZTrU1P/3f2e1vCb7heg5eGlU+c++CvSX//rXPbAcf6L/L2HzSmpfWl1j7wQNubb6JA6glpb8PX3s5KluWra07vP9r5yNNvDs+gKgKmJ/xuT/WSO2Keu48bHdPw61dTf78q7te/7kvt2r69at580PWEFxhcT+j1js/JuHnWlLO//E9L7vSxf9+gInPquBp6Qo/7u8KJewEOAGzKiqlrPqPNhdjb+11kZAnAAYC/z8rtFlz9Uz3tbbsCqieU3XZ7+ev2ije6Kt/8w8p5Vcc0Ku40EDA94ZLFewAOAGyNMh4u+8YvVdcT+nFlPWHNn9d/BVAK8C2DPnnjBTUGR5CekALU35AzKcXEsmzkzLHEq7G35mFR/R0FhT0e1mqyTssmbg/w5r5UJ4+bA6onlDx2oBQxqKurKywqJSu3cDjWhkTA9IRT08Z6pxoZVpqeQQf8FpauJ/TjynrCtjEx+LaJESaLkpfoSoxUY3AE6Qkpoabc1PhlN7Ms17D3iHatk7+e0D81gHpCIva4W0sAYZZhdnyxLz5ryL2y4aDrCYfE1dETIgQxTy5KSEnpdnTQk6oKZWTpCamsEKeHsPKll9ir5CrqCYnkIpILMKvIEm+Jn7tQ61Iobeh6wiFxtfSExCUQp4cKEiBV8fWPpRkJOK62AxQQxzIHDpa7BJbVMFP3D8Dl9IREEAeEva4n1FENUTzu1lLJ2YAwgxBUn2lf+E+PhTpTIxRdT3hl9CDUCBGdrtZSQAzGuKmpFXERCaPTBj/tHxKfnrD/fKN1SpZxdIzfz3UCQLD1hCOTq17lBF/Le2U9YaDwOo4DYgAAY9Td48yfNi/YHoNIkAtlhOgJAwXqt94jIKgNQkVRNI4l9YOKouhwAIo/7/vi3zvEGF3qR9mHjJ+ekDNfNAPBG0xkOKM+F+jbZkCSxHG5UyKz7hy+zSHnQSEBGF66WE/IDJi/DsgPYo0EPSGhNCBF721p4fD5jaoGLrfCDEeEoXlRe81JSXEM0zEk0wNpffX18LpqbJgECsUI127bcjbrGFwoDEJomJVFw5a699cTIo+3/IP/dkeHIYUCAAUqet3RUeHDf3Y5S7zYU+f7n7fGD9OaNhLiow3gGOYsS389IWaY5i8/72hr6RsvIYQYOZlhAhAbodUTAkCY1RwVFTHMOJSamz1r/1/U6vsIoYjhvNUn9n660Y3oeT0hIZ6uhvzMsCE9YGpvbm5OZm9rNwVK6SU3ERkcb01Nw0sv5q/9ue8jZZn6lc+ELb+NTY8/vz8h0KIpE31PFCFUW5x0bt3q3Ljpml+tVhSFY1mpu/vM7x40v3AvNhmAUEqpwWjILJokK4Rl8HDKgw9Lc7WUADCUyFx4umY7wyE7K62nsYFSSilouxappaX2t4+PXzEHsywVZeD5ppd+H/Gz69mJ6SApAKAQUlgwHmEGLiyu0pxbS1FRZlGR5tOHT3T0KC4lQVEIAo23CwDqHv23OK8rNj5GcXmRge/6+hu6bQf/wJwf9ISjEyIjMxVFAdVeVAUhkV0uRw3CmBASExOZkqDlmRNr65gonivIpKKsAKSljeaTElJzc83X5fntT0hlZVxWanS8Fi2Cn54wf1JOl21U+vSpTFSYbziOUiqKEgAoijKlMNdo1FglM3xEWOptvfU7bck3ccGZXL4ylEiucycAMCE0LMwyaYyW3wfw0xPGJ8ZMyshIysiyzbmWes9PpkmSTAihFKWkJEakatw+eSTgOXdUlmSEGUJJcdEEbR1hV0V5xIM3ElkGAIZhpk2dyB86Pdp/f0IZAAwGfspkVYWi7k1IFSK7ECBKgWNZs0nT4BXCbJiFCTMTl0ARmCwm3mIUJJkZoCeklJqMPM9paQIN0BPaunlWECVGEP3GxCmlVqsRax2TQJg1RIzlw9J9b4kQQKkiunwddYbBFrOm2uRiPaHBaDTZzIIs84JIhYtmtCmlRgNrNPyIJ0IVsbev6W6zafxtIWwwsElRPjMIofCo8B56aT0hRshsUbWWUNUjiDDPGqOAUgCKGSM2RAwt4+chYmun1NwBLAYGi43npLauS3dnKMF8OGhaM+GvJ6xsVDpdlzsWG6KHOdoUsggEAIRZcwwAAQCEOWwYpcnKQD2h/TJDMRRxVqRpv7oRAmuJ7xs216z5JB6P9/sz5+0oxF1ee9mlfIhhjKoEOuqCkDFy5gRKZKAEs2bOnKA2y/0wTRjP8BHCyXpk4JCBEyobGI6xjB8T2P0J/fWEu4+ax6caY8NZBg+YkpJ4a8rwx4FCBcIsb032FQpgnrelaDDiryest9Mel7Uom6VwcaEgSmSWj2AMqlYkj0z4sDTfm5ASmQ/T2I2PvP0O546DyMgBACDk2XU04tYpV2N/QgAgksvVvEdyt4Wn/YQxaiwJx+bNpx/+l6T/epDKpO3f/rQ7N7Y7Pyj7E7Zv+kvyxpWu7WUt//+Tb+ZkK/GRvv0JAYASYrWYfrpkTnhikTF6Ita0H/AIgcged9tBoas6PO0nrClW2+xo73d7Ti6aH/fiUm50TPsDr+1LDW8rzsD9CkWW5QU/uT4zZ6I58QaGDw/oFVxVKFXEnrre+s8tCTOMkeMQo6VXRdyeY9OKuGsiYp++r33ZG1Vnmo4smMTAsPYnVBuEvqsASnwz1JqpvuNO+8dbASD2rkWpG98lsv/wEc+zmGGH00pUXK6j1+S5689SgPT//MOoh5f5TUkhBHyQp6SuJpQqaHiFUvvgQ83r/4gAImZcl/nVF4QQv24Cx7MMw/zfWF81/NvVtWNn5a1zAIBhudyK75n0dLh4voBhMMex6iNlSA8iGmYEAkDKK2uZ6GgEkPTM0zxngCD08xmLJe1P6+2bNrEWS/xvlqFQTEldTYb5SAFA8gvP+5Z3Jix/hNdv12BEzLkl5fnnPXV14dOmWXKuCUCWAqLo0dHR0cz/hQaGjs6PGj0IdXRCjB6EOjohRg9CHZ0Qowehjk6I0YNQRyfE6EGooxNi9CDU0QkxehDq6IQYPQh1dEKMHoQ6OiFGD0IdnRCjB6GOTojRg1BHJ8ToQaijE2L0INTRCTF6EOrohBg9CHV0QowehDo6IUYPQh2dEKMHoY5OiNGDUEcnxOhBqKMTYvQg1NEJMXoQ6uiEGD0IdXRCjB6EOjohRm0QdnV1rV69ury8PKi5AYC33nrr7NmzQXVRXV29atUqu90eVC8bN2587bXXRNF/A9eA89FHH3V3dwfPfllZ2cqVK7dt2xY8FwBQWVn58ssvd3R0BM9FR0fHmjVrVq5cGdTHuLu7e82aNe+99576U9QG4b59+2JiYvbv368ol9mXNBBUVFRs3rz53LlzwXMBAIcOHYqPj9+zZ0/wXDQ2Nnq9XrPZfPTo0eB5AYDOzs5169YFNdSbmppuuOGGgoKC4LmQZfngwYOpqalBLRSr1Tp//vyYmBhBEILnZffu3VlZWR0dHXV1dSpPURuEdXV1CxcuFATB6/Vqzd7g5ObmLl26lBD/TQsDCCFk/PjxRUVFTqczeF5iY2MXLVrU1dXFssHdBbGsrCwtLS2oW2vJsmyz2UaN0rYdtyo8Ho/dbs/Pz09NTQ2eF4PBkJuba7Va8/LygufFZDJ5PJ7e3l6kes9WtUEoiqLZbKaUBjVCGIYxmUzBsw8AGOO8vLzKysrs7OzgeeF5vqur69SpU0lJScHz4vV6HQ5HQUGB+vLWQFtb28aNG7ds2RI8F5TS48ePv/fee0F9RwFAS0uL0Wg0m83Bc5GUlLRly5ampqaYmBiVp6gNQpZlBUFACAW1vAHgKuyX6HA46uvr8/Pzg+eiubnZZrPdddddp06dCp6Xmpqabdu2ffbZZ0Ft9M6cOXP16tW1tbXBKxpFUcaPH798+fKysrIgufBRW1ubmJgYVBfl5eXPP//8rFmzGhsbVZ6iNghjY2P379/PsqzRGNxN3gkhwY7DHTt25OXlBbWh2N7evmvXrs7OzqB6SU9Pf+KJJ/Ly8hISEoLnpaqqqrGx0WQyBa/+5Xk+KiqqubnZarUGyYWPqqqqoLaAAMBkMrW3tzscDozVBpfa42bMmPHhhx/m5OQEu5MTERFhsViCZ58QUl5e/s477+zduzd4XvLy8g4fPlxdXT1x4sTgebFYLDk5OVOmTFHf8tFAcnLyqlWrpk6dGjwXFoslOjp63bp1s2fPDp4XWZYNBkNQOwgAcN1113300Ucejyc9PV3lKfp22To6IUafrNfRCTF6EOrohJj/BXAvuzDP7OoBAAAAAElFTkSuQmCC", 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", 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", "info": { "equation": "160/10=16", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
56ec05d30acd056eeaec2bcacbed6350e759c9d7ff4592d99d4a1e42ea56cd29
13
1,972,458,954
train
2025-09-16T02:27:49.832363
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 1972458954, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'1', 1:'-', 2:'3', 3:'4', 4:'=', 5:'3', 6:'9']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [6, 1, 1, 7])</answer>", "action": "('move', [6, 1, 1, 7])", "reward": 0, "image": 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nQ0vh4cFr1pvvvLPrDrjp+XpCN6LVlp2dNnFqzvk12y5u2JnwyFOJv/991x0gonh8/vwLn3/efiH7rmnDnJlJ0LE3Iowlp+ue/5wTbgg5/fAbfF3TiNIDmgEDAqkscLpRTyiKZVlZHhVZ/cqVLt7lc3rKYbdLokACFG75gz96Qofd/v0flm9v+ypmYahOXj1h1cKFniAcX7iQ510OR2cH7Dbb9v7xe9pmsdZmxhz/uekJ7XaH3b77tknfAnwHUArwaf9QGfWEkt1+dNgwtw/uD4q6fE2Wnjt6eEubsnQ/wJu339TL9YQ0PXDDhvqXXkIATHh4/PLlAACyLcnyCz/1hFVDY0wzR5p0ekwgdPbIBln1hAP++leqTbeW9NprNMuxXkEQMKmYNnzapWSJgC7KZBoVK/0s9YTlNw+4Re9gKJpjaceMNBn1hJRON3DjxjOvv04BcDExrWunvBqi0Ww8fXvGIDaMx9iQ0Sf0hNrBg1PXrpWxwCDwR0+IulNPSBuNKdcLAhEFraonBGBNhpgX/6tb9IQA+oyMgddtCKdgVPWEStGNekL/UPWEAN2pJ/QTVU+oIjOqnvCGo+oJVTqi6glvOGoSqnSg9+kJez/qcNQH/ugJ+yq9Tk/YrVi2batdtgwBaBITh3z1VTdtPRZMEorXG5b0ahrfeuvM22+7g13z1FO69PSwqVN92CHK57DtRtJNDUEbjYM/+aR87FjeYgEAimXT//nl6FunENHH/4sQcByHEAIk66gK4+r77rtUWEgBEICqu+/OOHKEjfHx0hpjQgJccOInrtra4wsWCBYLArAePVrz6KPJ77zjbcZy2i42RDBJODC1Hy37Bx16Bi1FRTVLl1JtV3sCULNokbeeUMKYtzWGJYV2U/P7A0VRg1L7+dwLoetoBw8e+OGHHj2haeZMgBs6Ydvw2muetVMIwNXQUJ2X560nxBiHh7JsN2yDI1ksVXl5gsXi7ug0QONf/iImJZy8aVAnPaHD1pycFN+VK3IwSZgzJtN6vsLd/QghWA4FQ0/AUVlZdc89HkUvACAAvr6+Nm9hZz0hxsMGDzCbzaIoIoQIAemGf3yVYZicsZku2yX3LQhjLO8VwTRnjlKqqKbNm2tXrGgvQ6AALEVFJ08f6aQnlDAenZ3JMIw7/oQQuYYnJ5csubxvXyc9Yc2y/EYvPaHRaBgxZpQgtB4JoicEnIS89bTtUjWiaHd9/RJjB8bI+Y0ZBQlYTyiKAEAIMRr0t07OuLHOguP8YU8GCoI4Ojs9OjH2BvvQTQSsJ5QwAIiilDIgUZ8gg7wbAtUTCq3TNqIk3XbrzVptYCsWAk5CLDqwaKdoLQAQQjQcYzB0/jB4LyVoPSFNU8YwWd9J+IHkaiZYRDQHAIQQg0GrkW/KXlmC0xMSQrQaNiREniU7wekJCSGmMD0V4CcIA360YzQmRhPeJqIliAmhOHOghfRMgtQTAiCKpXVx3eTV1WANCYjRtO4VTTCtiUR0H7kaBqknJBixRooLl8eHoPSEQDCjSwj0HVXgSaiLYvQxGAsAQLBIcybOkBhoIT2TwPSEDN36dopgoBhZPnITEBrTIIrWApYAAGOeM/SnOOMN9qGbCEhPyDC0W1SJscBoI1i9PGPygPSEDOMeQxEs8RrzcBRgEgasJwQAiW9xNVXYGr7TRY7URWbSmrBAS+ix+K8nlCQxMSHml3dMRdo4Q9w4Whvuawvt7kVyNdkavnNZjhv6TdEYkyl5p+kUJQA9oSCOzk6fcMsIxpSujUinuVBZHPBfTwgABJNfLZgdbjYZ+k1ndFHuZwT/CSYJ2yoWZdGz9zQs27b9ePvtWBAAgDOZhpeUUCnJIPmIEkUhjmMBqG6aw/UPQrDUJxvizKpVJ1esQAAEwJSVNaR4jwjg87mAZmiWoQHJ/J1o7HCUZ2W1VFS4Wzdl9Wrzkoexr8lSAOA0LIVQcD4En4R9mMZ33vHoCfvAx8t6L6eeecajJ9QOHnzjHbCXlXn0hIkrV3ZTLWoSqqgoTN9c+KKi0otQk1BFRWHUJFRRURg1CVVUFEZNQhUVhVGTUEVFYdQkVFFRGDUJVVQURk1CFRWFUZNQRUVh1CRUUVEYNQlVVBRGTUIVFYVRk1BFRWHUJFRRURg1CVVUFEZNQhUVhVGTUEVFYdQkVFFRGDUJVVQURk1CFRWFUZNQRUVh1CRUUVEYNQlVVBRGTUIVFYVRk1BFRWHUJFRRUZhgktBms7388str166V3ZuAeO+997Zt26agA7t27Vq+fHl1dbVSDpw6deq555579913XS7X9a27jebm5rfffluuzeIDpby8fNmyZS+88MJPP/2kiAMAUFZWlp+fv2fPnuBODyYJv/rqK7PZbLVai4qKgqu16xQUFGzZsuX7779XyoGWlpbdu3ePGzfu73//uyIOEEIKCgrGjh3b3NxcUlKiiA9uCgsL3333XaTQ/nDV1dXDhw+/44474uJu9GbJbi5fvlxQUJCbm7t9+3aLxRJECcEk4eHDh+fOnTt+/Pj9+/cHcbos5ObmPv744+4tWhWB5/lZs2bl5OQ0NTUp5UNeXl5mZmZjY6NGI89G7UFw8eLFysrK9PR0pbb3stlsERERISEhRqMyGxWfOXOmqakpJSUlJyeHYYLZKDKYTuxwOPR6vU6nc/ja1/vGoNPpdDqdgvu6RUREZGVlbd68OTc3VxEHEEKhoaEHDhw4f/58amqqIj4AQGFh4YQJE+Lj45W6E547d27Hjh2rV68+duyYIg4IglBWVrZx48bKykqWZYMoIZgk5DjO5XLxPM9xgW0LLC+K76xYXV1dWVk5Y8YMRWoXRbG0tHTOnDmTJ08+evSoIj5YLJbPP/9869atO3fuLC0tVcSH3Nzc5557bvbs2du3b1fEAYzxiBEj8vPzT506df78+SBKCObuOXDgwP379zc0NAwdOjSI0+WCECJJklK1i6K4bt26mTNnKnUlcj8TxsTEWCyWpKQkRXzQ6/WrVq2y2+3Hjh1LTk5WxIfy8nKdTtfS0mIymRRxwGQyRUdHnzt3juO44DpDMHfCu+66a9OmTVVVVTNnzgzidLkICQmJjY1Vqvbq6ury8vL169evX79eEQdYlp00aVJ+fj4AjB8/XhEfOI5LTU3NyMgYPXp0dHS0Ij5kZ2e/9NJLBw8enDdvniIOJCUlxcXFPfPMMzk5OcEFQd0uW0VFYdTJehUVhVGTUEVFYf4f4HnNLEfxT6IAAAAASUVORK5CYII=", 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", 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", "info": { "equation": "1+34=35", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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"info": { "equation": "1+34=35", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
799d0ae99eae33c4d6ec7244db039f8a3743e4d198484b0078dfbaf644e8c9ad
14
3,720,198,231
train
2025-09-16T02:27:49.847381
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 3720198231, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'6', 1:'+', 2:'7', 3:'6', 4:'=', 5:'2', 6:'4']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [2, 0, 0, 1])</answer>", "action": "('move', [2, 0, 0, 1])", "reward": 0, "image": 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rfv7z1j6xgIZtkweezk1ePO+GjIwUjInH43v5b++bTSYJy7f9aGZ6mtXQYxqjT4/h5P1wiKvLMWw/IZFcnukzxhQUD6j73TtO+8H+r62y3nJL9wUEUNxPWHHLHMDNNUwDHO+dfOymIcF+wgCSKA0fVjjuukGMpVBrK6Q5c0wEEEk6MW9e/dq1wRPZt0y7xl+cA34huJcEYSz7+dt/PCvZaKj91UvCGceg3fs0ffqEHwsFj7FU/PGJuj88HWjOPpup9nd3/2jx7ztOij14+1zhw4+1AAjgfJbJ8OarU6bPj+6rtkeWy0eObNy/HwEQgD5Ll6Y89MD6d1/un97Yq1cPjInD0bDjK0/JwiUAwHEsRSFAyozmt6ur83+877a7n4rVwfdOnyyUbqIAGICaXEvyyteuG31DuydzQsj2a/rpas7RACzAoeL0CR9tyesVo24Ju/3IlCmBgAQg9+WXM+65p7PCkv8yQnTMR4mOPPib+j+/yAEgAFequf6Zh2f/5IGQU7RphmYZOuYtAft85UOHuo4eDSRc7ooV1rt+hTsMlroqK/YVXxu4CWYAdv1wyKJ1e3SRiInGT1g+PGeoOELHMDSFpFnFLiF2zyE03ffdd88+/zwCYJKTsx57DACYtj8vNE1rdYkz13VGXF2O4fgJRUyOTsuf1tBbJqBLtViuzZDd3phEv0r8hIcLMnrOHJKs0xEA3aziBpZLsLuV0un6rllz7sUXKQAuPT3jvvsAQgyWXrCaan9Y1I9NEjA2FiXKT8joNenP/kRvMNI07ThYDjF1u2n79897/fUYHjBOKO4nJJKo7ZedMW+iLBOOZWB9+7GN6Lh6/IQUIam/n5uekQEAdadqSFUEr06KFfqior5Xao3EL5oU8BMSgt1+TGhE0wl2u11VKO4nJDLGbh+WSVdut0gjX01+QuzxY7cPAIiMAa7SWcSqn1Al1qh+woSj+pVU2qL6CROOmoQqbVD9hImnze1oRHNtVOJIh3faJi7yVeMnRDQN0PUL4L8jtElCb80ZktzSC0wIYkM/7mMCcXJwhUSS5USGC5P4qcIeD19fDyi3+W9CQs5j5DguTm9hu0r8hL4ztaRXavOfhKDO/UpEFmTBSXMWRCswdZYQIkcySa0j3yTh5Zdf0Xy4xjzlgUDbQizLlx/Ys+H9RooE+wlljM06otEkboZK755ZBtp/teVh/FSdvuPOdO40ox8fGAxALNfwxcatvJ8XpTbmKVnumW1rfil4rFHcT3jhuWXGLz413PgbQghCCLGc78DB3dY1TURu5ycsHjTASDs89WXa5HytrYAz9UqcSgAAMBr1vXpmhnyQDpPmJGy02ysffPDaRZOsySbJ7UcIURpNQ+nG0++to/4wr936hEOvLeQ0msBlmBCC4+xgGFw8sLG2HmOCECIEEvkSzi6Ik6q6FcvPvvvO6LfupyiKgAwAoNGcW77Mt+kjzaKpbdcnRGNGD8Mt10eMcWyvCJZZs5RyRTk3bKh+4vGhD95sNutltx8hBBpNw7r1NWvX04//qJ2f0GU5xVqTKcbgdxzDkj/xSZiSYh1U2E9q6bWKoiU0J6Fn7z5KT4y3TZS8PAAQQowGw6TpY6g37aH9hDIOxOvZI6NvemF3v0fnYKHJVXcoMCOJEGIy6qdMLIpfOMVVOf/zmWlUP2ZIXsA2Kklybp9szdB8M0Gdr08IoigNH1aY1iM2c5cVx7V9B5tm0N98nezlAQBjbLWYxk8ezWzYmxvKT4hxYJFGjeS7wDed1JgjmLcZA7Vnd4iShBANAJIsT53yA602svvEFj8hy9JajslOwS5v4EUVDEtb06yXALrwExJCNBxjNMZxEhnBkiw0td7r0zRlSlJ+AbD4qUKshrEaaYtBdnoBASFEb9Abk0xCg6sLGxshxGjUamI3ZK8siOVoHcdkWnGjJ9AaWY5NTktuIKQLPyEAIrIfS7GZuxc+waOjhBBLkp6iIhuwb/ETSqLo8vsPVjW/sw0h2eP37Dp2paEhghgDxcVxdVjEaFlDZqtnF1EsrcuMX7gwiZ8qIvL8qUvimXpgKAAAmhJq6/0n667gTyOY1qQgWvkptTGBiILo9PJlp75pjU0ez77jV6wEijMzWltiRLbSZnSUYEaXHWkfVXPp5BtvZLQW16d7KJMOAIChiV9wrd+V8rOpCq5PCAAUo+eS+mAsAAAQDBSTyNfJdEb8VKXfe4//SC1fUUvpNABA6TT88Vrh69MpP5v6PVqfcG4JiLRn06FAa6RYWm70uksPpC6cnjA/YfjobAWA5UD3GJYFjTUfRZiE31iZGks3VsyfYxydn75skefLcsfS908Q+fAPi5VdnxAAsOQV3GdcNRs5U44xczStTQ61WHWiiZ+qc0ufqf3rn63zJyb/6nrH3z5xv7d5T6ru3NTCBK9PqCyOf6+rvGOBaWJx2tIFns/2Nfx5bQUD7dYnDBAnP2H4ECLLvMN1+nMsesy9b2B0qZGOlLTxE9YtX1F1/28pAAxg7Nsv/8A+meNCO7hoimWZRHr5CJYQohP8OuorEidVJ+bOu/DPNYETkV4yN2f127Ish3wyZ1mGpimlTJVx5exTT5/63ROBSkgaVDxwzy4JIJF+wsggmABBUWloM1if8dvfSPWXhLo6DCjrN/exJvPV86SfyBdYhE+cVPV5/TXKZARCAKGc5ctplutk3sR3mewnlshNjVJDA0Goi/UJrxZQhL0xwbtebYPgKirfN9QJ3CoqCqMmoYqKwqhJqKKiMGoSqqgojJqEKioKoyahiorCqEmooqIwahKqqCiMmoQqKgqjJqGKisKoSaiiojBqEqqoKIyahCoqCqMmoYqKwqhJqKKiMGoSqqgojJqEKioKoyahiorCqEmooqIwahKqqCiMmoQqKgqjJqGKisKoSaiiojBqEqqoKIyahCoqCqMmoYqKwqhJqKKiMNEkocfjWbZs2euvvx5zNRHxxhtvfPbZZwoK2LJly2OPPVZVVaWUgJqamieffHLlypU8z1+5dNxobGx85ZVXMI54rfaYUF5e/uijjz733HPHjx9XRAAAlJWVLVmyZNu2bdHtHk0Sfvzxx1ar1e12b926Nbqo3ae0tPSTTz756quvlBLgcrm+/PLL0aNHr169WhEBhJDS0tKRI0c2Njbu3LlTEQ0B7Hb7ypUrkUKr1lVVVeXn5998882Zmcos4dzU1FRaWjp27NiNGzc6nc4ojhBNEh48eHD27NljxozZu3dvFLvHhLFjx/76178OLNGqCIIgXH/99aNGjXI4HFcuHR9KSkqKi4svXLig0WiU0nD58uWKiorCwkKllvfyeDw2m81gMJhMyixUfO7cOYfDkZubO2rUKIaJZvm2aBqxz+fT6/U6nc7n80Wxe0zQ6XQ6nU7Bdd1sNtvQoUM3bNgwduxYRQQghMxm8759+y5dupSXl6eIBgCw2+3jxo3LyspS6pfw4sWLX3zxxYoVK44cOaKIAFEUy8rK1qxZU1FRwUa1jmQ0SchxHM/zgiBwXGTLAscWxVdWrKqqqqiomDFjhiLRJUnavXv3rFmzJk6cePjwYUU0OJ3OtWvXfvrpp5s3b969e7ciGsaOHfvkk0/ecMMNGzduVEQAxnjQoEFLliypqam5dOlSFEeI5tezb9++e/furaurGzhwYBS7xwpCiCzLSkWXJOmtt96aOXOmUleiwDNhenq60+nMyclRRINer3/mmWe8Xu+RI0d69+6tiIby8nKdTudyuSwWiyICLBZLWlraxYsXOY6LrjFE80t46623rlu3rrKycubMmVHsHisMBkNGRoZS0auqqsrLy1etWrVq1SpFBLAsO2HChCVLlgDAmDFjFNHAcVxeXl5RUdHw4cPT0tIU0TBs2LDnn39+//79c+bMUURATk5OZmbmQw89NGrUqOgqQV0uW0VFYdTBehUVhVGTUEVFYf4fl6igdqmvcH4AAAAASUVORK5CYII=", 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", 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", "info": { "equation": "8+16=24", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "8+16=24", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
cca918045484853e20f99451bbe1212814f5913aaea0726feca65a7c02ceffbd
15
1,433,267,572
train
2025-09-16T02:27:49.861404
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 1433267572, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'7', 1:'2', 2:'*', 3:'8', 4:'=', 5:'5']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [2, 8, 5, 1])</answer>", "action": "('move', [2, 8, 5, 1])", "reward": 0, "image": 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"info": { "equation": "72/8=9", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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5czX1lfryyy+TkpK2bNly8eJFh8NBW06Q8vLyPXv2fPrpp2VlZXv27KEtJ8jEiRNffvnldevWlZaWyrwMlHUmzMnJOXbs2ODBg1NTU41Go5xNqYEkSZo6PwOAw+HYsGHDjBkzkpOTaWvpxIkTJyRJGjFiBMZYU8fTrKysrVu3SpK0b9++UaNG0ZYT5Ny5cz6fDyGUlJQk8wJeVggXLFiwcuXKkpKSF1980WAwyNmUGthsNqvVSltFJ8rLyy9duoQxLi0tLSws1M7J8Nlnn33jjTd27dq1ePFii8VCW06QxMTExMREAMjNzR0yZAhtOUGmTZu2Zs0aQsiCBQvi4+PlbIq9LpvBoIy27oMxGPcgLIQMBmX+H729JcUMsWm+AAAAAElFTkSuQmCC", "info": { "equation": "72/8=9", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
dbe6be67575d3e699f0297625b064b142656fd8005bad4d2f5572e89d5251733
16
2,581,769,315
train
2025-09-16T02:27:49.878137
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 2581769315, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'1', 1:'6', 2:'0', 3:'/', 4:'2', 5:'8', 6:'=', 7:'9']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [5, 6, 1, 1])</answer>", "action": "('move', [5, 6, 1, 1])", "reward": 0, "image": 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kK2tITHSkLBMEdMuu0w8v/bOXg+o36cZP6FAEGJJzV6+YKMliY2MNNQ+8jqzhQwoLbhcrUzd+QgoAIFOaMjQtpW8vyWRlYyIu/2aDtagq49DBO8RPSBy9bZlGLrq3bdcenxVbfyjQzxkDMeEgyYRCZIRu9MiMpj1725PQUlwsiaLzEekJP6FouWKtP4IQ5li2+PjpZmvYwEHZgWq8az/hzX0QJVkmAEAoyZ8wwucMhO78hO0bJUmSrAIgJLeYIxfde2nJemK13i5J2LWfsP1pe1mSJbMNEJKaTYafT279cqXU2Hhn+QkZzPaNRfwVnxURy7O9o5CKp6IVAFiOjYiOoPabcbm1xgXcTygLRkoJQixmcN2lq/Mf/y+N1vfXBXSgaz+h2yoRer8yoWs/oZsKlLJ9Y7FGc8f4Cd1YXghle0djjfpO8xNSUbIdLqd2N345D6GS3Xb8ImmzAEKAkNxmtZy4SKWbCe/WGhdYP6EsGM2X9yHEMAxTdvb8ybIrMbHdnyk9p1s/oSuMxq/nY7v1E3YEY9vhCmIy31F+wltBLLYdvyB7HOOP3U/IcSzCyHFGMX1zIPaxR31WjH30F5bCUtJmBRYjFpNWi7WoLObRX7YXMEyfrjIYetRPKJpqid0ECLEsrjhfO2/h8qgYjyxnHtKNn9DpB2MEQKksqfxzaXbjJ3T6HDGDAQBrVa1f7Y2cPhPrAnb972m68RM6xciwDADgME3blv26EWP5Xh6Nrv/o/YRm86xZd/ePNFQtfEeTmjlo87eI8X3E+eKSJU3bv05872mgtO7ZD6KmzU75YL1zgfoNGyqffhp6xk9Iib353FeyrREzbHNzy0f/s/nl1Zt1ekNAGm/n0ltvVb/0MoLr7r7KRP3JeSO5W2+aJFEan5czasRQTa/JnC7Jn3fYQTd+whuKFuuInMET8kfVPrfefq4p69hxxmDwRzT4fsKyWbMclywMYIzUFs0bfsNPeD0FZJstbUCfGbPvvvz6X9u2H8/Yf1idOtCj1j33U4XAT2i17M7JLATYD1DAMZ+vet5PRdFs2hMT7VD8Lky1ZdNa1zI95yc0XzlYX/zutRPvt5796IPfzd76j40BbNyZfdkZRQD7AfaEqT5b9XwHd5/jR7QLlEiBUuzaT2i1WI4uXrQb4ADAQYCPF0y+Hf2ElU8/7XBpHuC4ln1FHfyEVovl9Ko3djneygvw8ZSMFuGO8BNSgPP56WP7hVFAzOgBV3v5O7VlY3DFzOxxLTYZQD0hrU7t5grQQ35CSolkqQfMIITMJrPFjqZMXxCoxp0hAKX5abkp4RQQMzrlalKMq7sv4HTrJzyf1af/jBE6jlenxN+mfsI+b75JJIlSqhs2TD8217VAdVq8ZtqwCK1GFRepy0oiJhtE3f5+QkpBPSAx4Vf3AkKWllZ6qMlPRRc/oZtxoB7yE9oajgutFxDmWJb5x9c/GBLuYvy4r+4CSqgmtVfi0ukUsNnYTI+19IRKB7r1EzJaVdzvH76t/YSMwZDy4YddFMAAsSvuRD8hvW5UQ1QIhLsvdH5C0XzZ0XmQZUkE3WNPvIw8G7/2AcdBo4A7dfcFnH8HP6EH+OYnVKxMwcDeWim0XkSYZVm2YM9+i9jjL/K4g+nCT9hZDcVP+O+O0HLOfPn6YzdElksrri184c+h3aXbmjvPT/jj3bM7BvOlvURoQQizLHO6tNwQ2y8+0cVnoOAxDj9hhzx0+Ak7zIUyGANAwPyEPUYor4SeuPtud0XBeJaIFsAsAGCEmprNeVN8f8LBExBGIXgirMf6t66Eyk9or64+O2sWoTQiL6//nwN5L+NdEkoBfR2Tvb5eslrb3X2uT2liBMTN+8V9p1s/IUCAFWV7GyUSYngAEATrpHvn6/sExjDRGVJrm72lBRACCkBpZ08aEMlGxDZWE+u/IrFY7E1NgFIAACgg1u2XKpAOxpD4CS88+WTb8eMIwFxSEp6fHz1vXocyCDO+fXm8cdZjnNyvF6Wu73rzBWK11j29OPFnaY6PBvF88+7CPQQLTssDEUqjDGqEMA1Er9rFT8ibjhwu5PVW4qxIIsJZzDCB+sKw2jjMqimVARDCrMq/5TQ8oWbp0vh4I7AciBLiOOHMqf3ffm5CxNlPOHTwgAi+ydZUHtZrnDpqCOb8mvKtefGlWFqL+DxqFxHH2C9cOLh5UytDkdOEAUgtGk0gn5INvp+wafv29pnJ2qVLq1SSs59QJsTUeDF1ULgPCeJFErIsMyxrkGBucNxdy54tdtEZl/7wB3F3QebbcyVZZhBCKtXVDR/J+3dyPxvvvD7h6NE57VUc7hufufLuu+Z/bR320mpZljEAUquuffY5/PAdt3BKuyKhZOSIbIQYSon/igDAh/fFrEYWWgEjQJwqwrP3ovtK4xdf1P+/jSO+fsVx2UE8b9y5q+arb9kXZjv7CVvDUrTxcYhVmy7t5cIS/UnC5q1bL61dN+Kv1+1giOdb9x2s+vSf7PJ5N/2EhNw1NE2t1siyDCgARxUAuLi4lC7frRpAzEeO1KxY4TwzKVy+XL3o0Vv8hIQMSOlrMBgcq9wSQjw/j3uRhEJzuWBuAIQppVqNetzYNC/icKH1+wLDLyZRnRpEmSAaE2MYNTwzkufd+AkpBQCe5yaOy+m8PQ8Ub/UTRkToxo7O1tW39b5VURRFQggAYIzzJ/j1Ng0H+uSZbdU7iCxE9L8PUM92wk1792nHpjIDE6kkA6UqFT9+4ih2y7F+Ln5CR4yI4a0NJZwuyXfFAwfVmUlsRn/HS5YYhpkwaRRU7kp28RM63kFICJk4LofjbqdheS/8hJIEAJIsjx2dpQ/31CPmxbGQ7eb27g3GWBfu10wX4ng2KQrxLBVlSoHn+fDIcKHV2pmfECGk99P5dqufkOPYiOgI65WWLhT99No5YFSRhoEPAEAQRskRy7HRehymkdssAIAwNsREGoF24SeUBb8eqUEMxxrCGL1WbrUAAEIoMjayvnM/IaUQodd6+z6y0OKtn5BSGh6uYTx+gaAXXwtWG4tZtWPSE2GGUcd5XtcVKtltx84Rix0QAEaS0WQrq+1qPTeEGf86FW78hCWVtCtF5KfXzqkpHJx5KiqLwoWr0rVmx3AltUuWoxVdv92c0/X2T1ESahvFy03XB0hlYj5c7nalx/YaATuqwcJbPyFQwqjjPB8Q8uKbweuSMKsFQgAIIEYV4ZlNoxNiF/7StK2Y2kVgMOJYuaHFfuxc5Jzcnluf0MVPaLUVno66f5xjfUI3ikDVBr9uuYNP9M8etJddEesaMM8CxkCoecuhqHnjes5PGDV3tlxnsp+rwyoeEAIGm745EHX/uA5+QpZl8I1ZOz8Vg4+HfkKWZRxXP0JEXp+MsMevrfBq4FgWjG01O4loieg/nVFH+XV2p/TcI4+07N+ZtOE52dh27YUPiyP4ynuG9uz6hEuWNGz9sve6Z4DS+mffP6XB5dMymFuXOpZE6b5p4wYPTtX2/gmrjUeBGOAOJpfefLP2g//T641Huf7x9U+8e85mK56VxQHqOT/h1XV/rnrrlYRXFqizB9QvereyseXwnGyOudVPKEqjRt41PjdbnTCRD+/n6NTcRnjiJ5QkaXB68n33jOVjx6gMaZj11Lzi/ewNJQA0IHMvUlPTybsyrJcvAYB+2PD0/YUydTMZwfEsg5mA3M4Ri+VkVrb5XAUFCE9NG3TkEOF5N4ocyzA4IDGGhNLxE42FexCAyhA59EQJxMW6zqE5ztyBivHsfTMatm7BAKxKM/TEcdyvr5tZO5bhAqcYfC4uXly3fj0CYDhucMFufngOuCwEjhnMez8zGcgpVB9o3bWr/rNNCCBx6X9oMzODoGg6cODKhx8BQMKTT+hG99QLtkOLrby8btXbFGjM7NmGmTODoGivrq557XUAarjnnuj584OgGHzk5uaqZcscfsL4Z54JYMshTkIFBYUf71OtCgr/JihJqKAQYpQkVFAIMUoSKiiEGCUJFRRCjJKECgohRklCBYUQoyShgkKIUZJQQSHEKEmooBBilCRUUAgxShIqKIQYJQkVFEKMkoQKCiFGSUIFhRCjJKGCQohRklBBIcQoSaigEGKUJFRQCDFKEioohBglCRUUQoyShAoKIUZJQgWFEKMkoYJCiFGSUEEhxChJqKAQYpQkVFAIMd4lYUVFxauvvlpWVtZDe+OWzz//vKCgIGhyNpvtvffe+/LLL4Om2NTU9MYbb2zatCnI64L8/e9/r6qqCo5WZWXlihUr3nnnnebm5uAoUko3bNiwcePG4MgBwNGjR1977bUXX3zx+PHjXlX0IgkJId999116evrOnTsd648HgTNnzvztb387e/ZscOQA4MSJE+Hh4aWlpfX19cFRLCwszMzMvHDhQtBSAgBMJtOaNWuMRmNw5Kqrq9PS0mbMmKHVBmAFck84cuQIx3Emk+n06dPBUUxOTp47d65Wq7Xb3ay+3gVeJKHdbm9sbHzooYeMRqMgCF7uoY+kpqYuXbqUZT1d9NR/DAbDrFmz1Gq1t4fSZyZPnjxixIjm5uZghllQUDB48GDH6rlBwGKxGAyGiIgIng/S8qDFxcV9+vTJycnR6/XBUYyKisrIyNBqtdnZ2V5V9O5KSAhx/BK0KyHLsjqdLpj3aWlpaZIkEUKio6ODo6jT6YqLi+12e2xsbHAUW1tbGxoacnNzEULBUTQajTt27Fi7dm1TU1NwFBsbG7dv375t2za12tMVc/3n5MmTcXFx3p5ovEhChJDjxIkxDtoZFACCv4Li5s2bx4wZo9FogiN37Nix++67Lz09vaamJjiKR48e3b59+5YtWwoLC4OjmJ2dvXLlytTU1DNnzgRHkef5Z555Jicnp7i4ODiKAFBaWjpo0CBva3mRSzzP63S6Q4cOabValUrlrZLPUEqDduEFgLKysrq6uuHDhwct+Q8ePHjmzBmz2cwwQVpKetiwYcuXL8/IyEhOTg6O4rlz56qqqkRRDFqfMDk52Wg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", "info": { "equation": "180/20=9", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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"info": { "equation": "180/20=9", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
4448e9fe43fd59913b8c0a4c871f1435d035ecd305db9a0b3cf13b24176b9cc0
17
613,608,295
train
2025-09-16T02:27:49.894088
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 613608295, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'3', 1:'*', 2:'1', 3:'8', 4:'=', 5:'4', 6:'9']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [3, 1, 6, 4])</answer>", "action": "('move', [3, 1, 6, 4])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "3*16=48", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "3*16=48", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
6bd64a47261dce48bfa177dbe9d240f6eda3b38197a84acf7c8ae6747890f7c9
18
3,041,148,567
train
2025-09-16T02:27:49.911869
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 3041148567, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'9', 1:'5', 2:'+', 3:'3', 4:'1', 5:'=', 6:'7', 7:'2']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [0, 5, 4, 0])</answer>", "action": "('move', [0, 5, 4, 0])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "35+37=72", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "35+37=72", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
46d1ecef00938c9281350b3091bf7575e1c0e3f5acc95d772b1aeaa206d3f93d
19
2,795,544,706
train
2025-09-16T02:27:49.930042
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 2795544706, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'7', 1:'1', 2:'-', 3:'9', 4:'*', 5:'2', 6:'=', 7:'2', 8:'9']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [0, 0, 2, 7])</answer>", "action": "('move', [0, 0, 2, 7])", "reward": 0, "image": 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", 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t7o9/rH7rLQbjiJUrmW6jkQOHynLp0qWUEGe9VK9dWxUfeoVDmFAAoJTa25pig/wHGIfy5csVq1c7TxcLMOKzQ/uy/2EnqrPqVUWRv/hg9Is/tCyYWvvf/8PsOkqXSH3O4Ua0rxud0tBwOjvbfu7c9Uf7MPYTNv7zn0WzZ6NrJxoDVFmx9MJCVuCBUEopb+DGj0tlOSNR2q3Rt2lr/PTiJwQAQklQVERG+ijF1s74mUumPR00+5GY327QINQZe/0JW8Vu5/sSx7FHjuTb+ZvuWfjkQMrszU8oqwCgEpI5Lt3X1wdjdObMOeuIe9PH5QzwQDxEb35CCoQSHx/r+MwMVVUR0N0HL8756asaXDo39BOKCgCohEQnxScnxCp2EbHMxawlMet+G/rk4t7L7PsOR1paHOfPd25cD2c/of3kSUJI5yGpaGRMyMnGfhZndxylVJJkAIoZXmwqFgLTEep3VfTiJ7yqS4jcZgeEiEP2XTStbe+R/kp0x+ATb+fziWxDmGlvtx88dv4nTz01wDJ78RNSx9XBNFlWCCGUopiYCL/YyAEqeo5e/ITOWXiUUEmWAYBQkp01WptP7oZ+QvvVCUyqqirtDmea9b5s2+GjoX3dJ91oZmCMOK7zlKjh7CfsvmNOUxkWpW594kiVWqGbzcwtlRv7CbtnZiODZN51XoUGMGcx+Ce11xxlMNvY2JSYOikyJmHAhd7QT0jFLiPalFLBwAqGQa73QaQXP2H3SrZajYOlct1P6JKTZdiIQFTb9xlz4yonxGVS4nD2E/ZsjOy5yU1ZU6i2mUu9+wm7JlBH/gVt1jUXFHud48pJhFlC6K49ecf2bz974vAAy+zDT9j1a8RZEGceoKLn6N1P6AIjBA+mSk9QSRFPlLgTKX0HIRsU5DNlyvfFT+gzcyZrNHYux2dymiHQh2UwyzIdfwBAiMxbYjS0RaF3P+HVP5ZhGQBAHNv2VX7APLe6qntHbqskqh0h3NZmFwRh3r1Tz58ZaCu3Nz9hp9OFEKJEYXk/xuA/QEXP0Zuf8NqBMAwDAJQovE+8RpUb+QmvSXAcyzAMYEwV1X6oOGDOfX2W2XfHDAC0FxScnjjReQ8Y/n7CSytWXFq/3tk7KnLM3vszlRBfUFTnQ48SYjEbH1gwyzciSwgag1ktfhaqqoUzZjTt3o0BMEB9gPnggglOP6EzA5GkmIiQOXNvr/jFn5Hkc9NXuxA3oA5GSuTmC58o9iscz3+9+7AoyTNuzXrrrzuXPP8/Vp8BBUbr/v1np0yhhAAABjhyy4i6m0diSeloIyiKMvvuaYkpY0wR0xleex/vEPgJLyxaVLd5MwJAAM0m7sADE7HTTwgAAISoIcEBC+bOMIXdIviPQoyWKQHE4TiZmWk/c8bpvL0U6ffdvEyGXm/xKg5HekrCjKkTSh991Zx6y8i/f9BnmW4FIQCcWfx4w8Y3OYAGf6P/ts3ZUwZ/iAIAjkzIdPoJy1LCJn69PyZcy+1KbWs7lZFhu3ABAOJfey3g50+4DEkhBPyAh6TsJ0+eyMxUZRkDpOzZY5iYBZ1advX79pydeacVQAWoeO6x+9e+NRAtAHDUn2mt2IkZgyjJ77z7yQ8X5QYG+n3+792m8Jzc+X0s5tUnJx5a1Pr3zRxATag55JOPMsZNdWnFcTzLMMxAZhoTm60gPd3pJwyZP99DfsL2stK8hAReJRigeOGt9767nXMZjMSI5zmEBrRMTvPOnWdmzqQAnMFw03f5zIgRnau+4oO/lf/0Z2YAB4Na/7gm94lVfRbo7oVY/P3xEzJmc9zGjXVbtrAmU9gTTyAPDEkBgDE9Pe6111rz800jR/p2a5w3hPlKuaP9eCuOD65NjRm4nOKoBcAMg6uqahPiwgICfGVJzpowevfRixQo0ubJuUZxZsxI20SBZZWbEzieFwSNnRa9MDR+wiYjWzNnQgbhmGCLaUKqAbO8B3qSfGfMiFmzxl5e7pudbR6V4pJaExeM7xzjZzSraRFtEW41UtwNwu+Xn9B35kxPTL9yIXTx4huuHSurgYvvGYifsDNSa7mj4TTGrCzLX3596M65j1PaQqlssVjrK746vGdH9tTcgZTPhfiHrf+R0WRpO118fYGvwWPI/ITUIfvNywmfNIZIEnx9anAm+/REL8uIIATBz83T/YTDgoH6CTuhOOopUTAr2Jqa41NzxubMbaveL9Ue43jDrNuyL1ZdGPC+EmJzEMJo8+z2ydD5CRFQUSatdqJ6c0k43U/4fw2iio4rBQixGKPde45Y/SIAwDnbjqg0IDDg3Imva6rKvb2bvaH7CXtHD8JhjSo22ip2q1IrwkxbW3urZL099yEAEPySeZ9YQhSjUVg0Z1pl4RdAh2/boX9+QiHoP81PqAfhsEa2VTgaziDMMgxTWHg+KmG0wdlrgjBnjqZUJYQKgjE+gqPD+Onh9BN2GQSekCREBXceXrs2ePv98BMOLv9Zt5zBpXTx4ub9+83p6YnX1uQdXCgljsYizPAAgIC2izB28vWlnAx+ifa6fKqKFCFZsomNxUKg1mV5PfxzA0PmJxyyJfrPzZ/ffu6c/223xfz2twMvzd0gVFVV49pU/UEdruved6f5yy+rN24EgLaCAv+77gpcuLBzKsvxg2Fdo6rU6jztkuSYNmu+NSqtIw0zxs4ZVaVNo4hKxLo6uLYuI9PTapzOSbYMr30h2KHxE0p1dap0rUMSY74nD5Fiv8IKAaBpppST2nfeqfvoIwRgLyjwnz3bmtPFVoIZjoj9q3p3jzkyMpRh6vtVdH9BCKKjwtycPOBdVJutbPly58wMClCxYsUFC3T2E7a31I6K8O9pYma/QJwpVGq5CAAIM7w5rGsiYoxBiu0SAIMwzwpB2jQa3v/AkneQvSMZKGCGqfrq3/U11R3dpISQ9LSRJuWCokrWqOm8VYvD04mn/YREFOufWxH4o9GEUsCYNjQe+ui9FhPX4Se0WEwZqVFtVfuNwWNMIeMxZ9GgIl++fGnVKnyt6suWLm1a+6vrfkJC7E2XMhJ9+nUZuxuEqSmJrZebKVBKe5z0OwgghNJSR9pbKgCAEDqco7F6/XrbmTPXVwQtKyt79skufsLAgLCwVEVRAEDzIxEhzPvEOpqKMIMRYjifLgGAMMtbouWWEoQRMAJv1TIlQK6uLnn2mfRfzMIsSyUFeL7yxef9HprGjonv8BO2+pQYgoKIKrfXHB1IEJqzshKzsjRv3ie1f36T7t+X+NIcVSWsgXOUlV989THD6kUYwOknJBZze0AKYgzttfm8NY7XFITlv/qVVF3d8Uuerfn5FetWdPETRoX7+yc623RuVr1bQUiUtraGcwhjQkhwsL+22WR9IrdVOVovI4QVRR2VFBsUpnGe+xDglp9QVgAAIXRz1mjNQgbfBHPYzY4rBT5xubhbd4UQkEJkm9hU7DsiV9tULLm2DhiHYepoKkqEQlhE8NiEhMiEJOusSS5+QoRZxVGvtNeyJu0r83qUtsNHrLNvpgIHokwImTBxtH37yfjpk4DBLn5CxHCOhjO8T5wGFbf8hIoCAAYDP2H8qJ7KcMW9JyFVidKGAFEKHMuajB7pvKKKg6oiYnhKqVHg+YHNePYo/fITarauAQBiBHNYtil0Qo8xhlmjJXKKOWKS9smQCDNWMxNopZJCAQyCYLSaREXhu/kJARBVRaoOgifLQyCOYyMCgcEAQCn1DfBtY5AoyYBRd0OTKrVoVHHbT4gRMpndmgfr1uspwjwrBAKlABQzAjb4ubNVf8G8D+YsABQowbwveGIN5kGiH35CQJqta9eL6DXGBjYdmcp1jdLFy8BiwFipaxYv1d3Ifol5K+a1NOGGBirLjhMlVysC4/YTJaRNvJGfkHN5wXabflQ9Yhj3XtTdC0JG4EzhlChACWZNnCncna36C2sMYngrpSolCmsMwcPYP+qGn5Bhrk5zJ5qta0OAISbaEJ7gOFaMBQPiWKW8jra0WbKSv49+Qv85c+wHCoEQwAgb+bad+T5T0jmzMMR+QpZlGIwBCCBkcK/F666VichtbVX75PYa3xF3M4KnakIVm1vKdmDWYo2ejrlhvKR0X35CVVXiYiNn3z3NGD6V94kfzlNAWvfuK5yXG/qbh7mo4NqfvX4g1rcmO8ETfkKPQ+H8gw/YCg9Gvfts0xv/urT122/njMEW41D7CRVldNrImbffIoTfzlsi3RkLcTcIrx4lJTAwL5YbIgQAeWjZ1kGkdz8hAGCMeJ7z+OkaDEoef6LqzT8jAL+cyYlf7+z8+4ROBu4nHBqkS5cKkkcp9nYKkLx1q/meXFC7HMkQ+AkBgGEwx7HuV32/7tBoKC6pAYyiDiW9+wm/X0S/sMY5vTN8WQ+/T/g9go+Ojv9/bzXu2iWEhwcOxpIiPdK7n1AD/XoS6ujoDD7fj8eOjs7/YfQg1NHxMnoQ6uh4GT0IdXS8jB6EOjpeRg9CHR0vowehjo6X0YNQR8fL6EGoo+Nl9CDU0fEyehDq6HgZPQh1dLyMHoQ6Ol5GD0IdHS+jB6GOjpfRg1BHx8voQaij42X0INTR8TJ6EOroeBk9CHV0vIwehDo6XkYPQh0dL6MHoY6Ol9GDUEfHy+hBqKPjZfQg1NHxMnoQ6uh4GXeDsKmp6aWXXiooKPDo3gDAO++8U1pa6lGJ4uLidevW1dXVeVTlww8/fP311yXJ9QdcB52PP/64ubnZc+Xn5eWtWLFix44dnpMAgLNnz65du7a+vt5zEvX19evXr1+xYoVHL+Pm5ub169dv3rzZ/U3cDcIDBw4EBwcfPnxYVVVN++YWJ06c+OSTT65cueI5CQA4duxYWFjYvn37PCdRUVHhcDhMJtPJkyc9pwIAjY2NmzZt8mioV1ZWTp8+fdy4cZ6TUBTl6NGjsbGxHq0Ui8WSm5sbHBwsdvu13UHk22+/TUpKqq+vLysrc3MTd4OwrKxszpw5oig6HA6tu9c3qampDz/8MCHEcxKEkPT09KysLJvN5jm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", "info": { "equation": "11+9*2=29", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "11+9*2=29", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
29bfd9540b0690de56246ab2432f7b23ec2667f71499cc2fc62c48a6035bb880
20
88,409,749
train
2025-09-16T02:27:49.949221
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 88409749, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'7', 1:'8', 2:'-', 3:'1', 4:'1', 5:'*', 6:'4', 7:'=', 8:'6', 9:'2']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [0, 0, 2, 7])</answer>", "action": "('move', [0, 0, 2, 7])", "reward": 0, "image": 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", "info": { "equation": "18+11*4=62", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", "info": { "equation": "18+11*4=62", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
56a2f33066a93e60ea1b2bb71a06a95c4cd6aaab3abd2c549ddcf2ccb64c4e3c
21
242,285,876
train
2025-09-16T02:27:49.967381
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 242285876, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'5', 1:'4', 2:'-', 3:'8', 4:'2', 5:'=', 6:'1', 7:'4', 8:'6']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [3, 4, 2, 7])</answer>", "action": "('move', [3, 4, 2, 7])", "reward": 0, "image": 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", 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", "info": { "equation": "54+92=146", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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fDj98Vm1rp8MDHvgSyspqNm/2HAgWhPJVKxsf+6l0JSgqxu62SlOsBQbd55u4bh0WRQIQv3o1xwVhEDVQLj3+a6WpiQLAACPON6DDx+HKj7P/EFmuXP0wEOKZEzPmyIWjH7zRxCIKEwAghHS+9FLWT/Jj1t7b8ued5o9K5LrLbHxcoF7ky5er163zNK4YgBGfFO6f+pYbq57Qq4oif/LquKfvt9w1s/43f7v0xK9Hf/jxgDPF/dMTEpKRl22PjMAEy5caKxc+NfaLL6zTpwVUex89IQJoBWj9zUJDcix4BgwZeuIP8swUA0auY0dB08aPco4fZQOUMrV++GHpkiXoyggHBXCOAva5+/MXzABMdu0uAKLMnJ5HszxWXNbhc4zRWgS+19ATAgAmODrRnpM9RnG46HBzxazHopc8kPQ/zwbk4lp6wivStVEjU1JSEjHGTY3Nle1x8xY/qOFYhpwQ6QkRwKVEE/zmTgoIEMAE22Jj8vKysEOgI61VS580j5o66o3XAq3tgHrC4empo0cmK24RMXT55IeSNvzPsFUrr20zED2hKAFCrD2KH5/oKi4ONAl99IQEIBxgQvY449TR3fPQJUnGqgpOwTQ1A7HvyvUNgSahu6QEY+ztJQ5Dp9p1LzQYuIl5uQzHEUIomhPbyviobOTP7L6eXENP6NmCMZadbkAIC3LY8lnOr78J1MW19ISu7qB0SddsNnNuyph+DF3vhEhPiAFG0dbU2dOARp62AsFEcgqAADvdYctnd7x8UENt/dITugRPmfW2qY5Dh4etGsBmgHpCQigTz0RZERVwv1BvPSEBEBWFEiVfMQgmdKSVtpq1iMp6HQj2aq4RQiRJ5g2e5gFSpU5tbblr6Al778wkRMuclnkV/esJfScA0DRlNg1BMzIohE5PqCIQJRmoPoLMJERRmoTd/usJEUMz9ijUMHC/Q4B6QgopLZ1ieT3BASv9+lEM9jUzhqGki/VyY5uGyRN9HAhAP3YIYxqmbeZSAKIyQoRjF4KvJ+wJoljKoOXh9nogdHpCIil932MREo5fwG53oC769dIXRFLE4goiDzw7px89odlXT8iyDEVRiKGVy624XrDNuSnQ2vehJxwZb84YzoCXFotlEELIaBCOnediUwwjUgL1YsvPZ4xG7zNvnTKaDjd3B9XjCAAwljlLkoa2KFxbT9j1x9AMDQCIZZyfH4u8/fZAXfSlJ6S79IS9RJ5AcZw1ScOBXA+ESE8IAGHzclmzgaFp7zMGAMjAOv9ZFLH4Ng21HVBPyLIMTdNAUURR3YVlkUsH9nJVT1ick6M6HB7p2smcxItzx/YYLHK558yZkhkdffHBP9hX/8r+2K80HEDL+++XLl1KXal9Qf7Y9uxE5OWFuIW77lloPX+5Zu0/Rm/bETZ7lgYvl9asubRpk6dTUWLpXbdm5cybnD9rMgDs/PTr4lMXoqPC77kzP8w+mY8eTzFapsATVT07b17bl19SABRAc6T54F2TPHpCzw5YkpLssUuXza3+5f8hyTb28z0aBnaVlpaScTlSTTUAUABlqVFliyfQXrPeFVm5YUr29GlTjAnzGGOs5mHu742e8Pzddze+9Zan17rTYii4exIy893TwbGixISZ7/7hLQ3rX5POtmcf+oYyBiwVGlhPKAjZGSPnzZx0ccV/mzN/kPb6GwMbvaqSevbZ/QD7AY6np4vtbT56wqM/+8legEMAO63cwb0faJVikbKlS78G+Brg3F13iaLQQ4jldn2dN74A4BuAt9JjKmvLtblQHI7jI0d6juXy88/Xd7R8+PJDbadfbD39fzteeqi+vk5wu7AqD2zomriKiwtZ1vPaz7a9e31EZdWffbobwPMCzLd+o11PeHHrH/cCHAT40sh++OIzfYg8pUGLPL9HekLx0qXDNlsBQAFA8/Z3fYJSf+Tw7ivvC339p4tDpCc89/KLXwAUAnxFo4+2POWPwau352EPPSRWViqCELt8OWfzHdSqyh0+/JbJZpaFqSOw1gkNADB882YqIgIBJKxd6zMkRQCqZmfkJhkZhom4MQ0LGucK02ZzypYtjW+/zZhMw37+81Znp/dgvdFoMgRDKmnMzk753//tPHbMlJYWduONPqUtcWHSonHhnJVKjWnI1N5QvJgSBQtyw00mJTtBtEeFQuT5fdITcomJI7Zsaf3ySz4uLnKp77yuumhb520TkigjlRBRMyEjRHrC+pQYasH4cKNZzbI77X7N8ruahBTPp/zxj/3uF24ZtvFHVmuYdL7cIfbTCeEHfGrqyJdf7rMoiHrCsPz8q82qnqooEjRBIQxbubLf9/jIatTKWwevJ6QoFP3bO+ITEtsaG0l58EWe3zM9IQBE3Xtv1L19T1Aighxx39xQ6wkRgpjf3B6flNTe0kzO+hUyvx9UMMEOASOOyCpoeVWcX4RETzhEBEtPiJ0eOzKg4J/375uecEAv34qe0CtkfuXXdT3HXyfk6HrC6wBdT/gvja4nvB7Qk/BfmutIT/gvzNXmqNLSUrpokeJy2VevjlmhVebxr8TFlSvbCwrM2dmjXn01RC4QTQf3vTg+XCd6wu8WiKaDG5OrSVi9dm3bwYMUQOWvfx2xcCHjs2oUoggZ7EvpB0Qd9Hvve0MIUYP14jYv2j/7rG7LFgBwnjgRsXBh1N13e5cyLIeD0bck1NURj9qGkD4VMVgVsexg+CjNLq4HPSEhIQm9D5iQYAWFpTwniPR+pzNFs1gMzMtVPWH9Sy95ZpkoTU1lq1fVP3C74iVdU4VmAx+CbjEvEILhiXFBHELwYDBw8fHRGGMUvFdmqA5H5SOPIADPJI/qNWsuWMBbT+jqaBhjj+jrgSsAhJOn1b+9bNm8ghCCWNZx/Ng+ZpuIcXdQUpLtCRGiu+2CNfEmPmKMXy977osh1xOyLJ1gj8UY06F5DYIHm8UUFRU+yDyUa2vdz22O2ngvxgTRrFB2uuDjN12IdOkJMXa3XcoZZQvoMmYAADscFx96CCtK94SyprffvcxVeq9PmDk2jeMMBAghfT7MBwGEUFZmmrujGgAwJsHKRrPZlJ6WoohOhqKDciMEgLpNmxynT3uuFwQgVFZWPr6qh54wKjIuLlNRFADQ5pQoSsXKlclhhrAIG3aKiOeb3tmuFnzJ3jm9W7rWiewSnYSActTuN4SnaZsHCwBMbGxqP4O33w4Gg2FsRqrkaqNpGmMc9Buxh+joSDYpXlUx0hoUAKh85NFhgjM2LkZ1CsjAte35kuzcxf3H/Kt6wsT4iIhRnh92P70EtD6hihDExEQkxadqO4BrIztrhc7LCFGKoo5JT46OiwmKWaHlrCx2IkSripqXO9ZsGuz7ksFPPaGsAABC6IbJ47T4UFXhwrmY3y/HokIIMfGGKROzrW41rqeeUFVVQECwJLaW8VGZgzusIUNoOy+52gBRiqqOHzc6PCwwJaGfuJtKFFlBFI0Jnjp5nLZ195zFJ8J/NgcrCgDQNH3DlPHckQuJvusTKgBgMHCTJvol8gxMT0gIsAxjMoZktJ4oAlFFRHOEECPPcUF6lZUqOYGogGhCiMVspAa95iEEqCe0WjXONaNMRiY+wjN4TdG0NSJMcjb1sxSeqipObV6uB7DiJFjxhN5sMoSoUeotH9UeFIOBSYjymEEIhUWFdZC+9YQUQiazX3f8wNcnpHnKEB5gzf2C4mwUawEgQDDFhQEdnIcTxhSDKE/OEIqP0vzg5E0AekJANK/xJ13tdIglF4GiAAERJeHkxf6m8iGKY/hobV6uBxg+CjGGrtAbIhEVkiRkzHHds0U1BwW73cLx8i47KnadqOhnWBUA0bR/QfFXTzj49QkHhDFG05yVEJVghTHGUqw5KGY5axJQDBBMsMJZkhAKQoD90BPSdNc0d8zZtLTeEcuG3TTX8fkRysgBRWFRFg6Xhd+c9/3TEwIAa0mkaN4TI9Ziv3LTDDKcbUSXxhsr2oICABG3LnbsOox4FgAAIffekvCbJwVtfcIB9ITBWJ9wQFSxvaNyJ8VYrMNnU2yQHgwIUdz17RUfGSIyTLF5FBMEIcKAekJVVVKSE5bcMssYP5OzpWp4GwgAKE3NJZNyzQvHRTx4c8OKP5S4HKcXZjNe7ycIlp7wOoAo7ub2ig85W7I57gaKMYXEB1GljsrOqn+a46fzEWMQrSXVsct98obJ7Njw2LX3NqzcUlpec2xJLg2DWp8QdV83dZs3lz/+OABY0tMzDn+DOc5nsIhhaYZmgtKcuxYEA6CgX0+EqEH5DezGXVJSnJenyjIFkLF3r2HKZOjZaUxRiONYGJzTpldeLb3/PgqAi4jMPFkMkZG+QWFohgl9UL4Vgh6jEHlp2/XZmZvnAwDNsJnFx+nUVJ/Q0zTFsoz/ofdXT/jtEZrrKejRvbaeMFhE3/cj18mTUnNT5IIFvD0hRF6uE76FDAyKl/D5+Unr17srK8NuuMGcMTYIVQrRmIyOjo6ffB+aMTo632n0JNTRGWL0JNTRGWL0JNTRGWL0JNTRGWL0JNTRGWL0JNTRGWL0JNTRGWL0JNTRGWL0JNTRGWL0JNTRGWL0JNTRGWL0JNTRGWL0JNTRGWL0JNTRGWL0JNTRGWL0JNTRGWL0JNTRGWL0JNTRGWL0JNTRGWL0JNTRGWL0JNTRGWL0JNTRGWL0JNTRGWL0JNTRGWL0JNTRGWL0JNTRGWL8TcK2traNGzeeOHEipLUBgL/85S8XL14MqYuysrINGzY0NjaG1Mubb775wgsvSL1WXw0627dvb29vD539oqKiNWvW7Ny5M3QuAODMmTPPPPNMc3Nz6Fw0Nzdv2rRpzZo1Ib2M29vbN23atG3bNv+/4m8SHjhwICYm5tChQ6raz7qkwaC4uPi9995ramoKnQsAOHLkSFxc3P79+0Pnorq6WhAEk8lUUlISOi8A0NraunXr1pCmek1NzezZsydMmBA6F4qiHD58ODk5OaRBsVgsixYtiomJEXsttBxE9u3bl56e3tzcXFl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", "info": { "equation": "54+92=146", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
62317e6adb2cd2bf1a84a8e9925472fea700fd30dff4a67466ee9a3415180d66
22
4,165,731,073
train
2025-09-16T02:27:49.983795
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 4165731073, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'4', 1:'5', 2:'-', 3:'1', 4:'4', 5:'=', 6:'9', 7:'2']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [6, 5, 1, 4])</answer>", "action": "('move', [6, 5, 1, 4])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "46-14=32", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "46-14=32", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
171588ba705c16e6f160baba5abcc55a34410195aeb8fdf96c8b299ba1aa4d13
23
3,100,961,111
train
2025-09-16T02:27:50.001032
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 3100961111, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'1', 1:'5', 2:'+', 3:'7', 4:'/', 5:'2', 6:'=', 7:'1', 8:'7']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [3, 0, 4, 8])</answer>", "action": "('move', [3, 0, 4, 8])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "15+1*2=17", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "15+1*2=17", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
e27903c24d80ac2395eeb938e6e6142f167386c971e4a7633ee8865cc36645b6
24
3,575,313,899
train
2025-09-16T02:27:50.016390
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 3575313899, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'7', 1:'-', 2:'6', 3:'0', 4:'=', 5:'8', 6:'7']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [5, 1, 1, 7])</answer>", "action": "('move', [5, 1, 1, 7])", "reward": 0, "image": 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", 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", 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tJrnOBQgIIUaT0WIzI9Lm4D7r6lr3E2JC20yMvX1dhZBO5lSD9BP6SWduN0UMfp1a6YQul60QzJp7A1Jg1UGQfkKEsNPj2ncKiwp4+YjI82drxPJLwFAAADQlVFzynK0hbQ/emdvtmvYTMpRYfonvUFchpKs51cD9hH4S9dvfUizbsYIU8RNG+3Jw6aLDrVkZhL/ylSgKsQzNMLR3JAjLgi58IKIUSMLA/IQsQ3unyBiaeIT6bw7GPPZo9zVEP/aI52QFX1hBGXQAQBl0QlGF52RF9GOPtCnWoa7gWvUTsixD0RR0Xleho7M51eD9hH5S9fbbpY8tRKHwE2Jccu+9VR991HIjpwB2TxlUlhz+0B2zYmIiMSZOp/ut9z6zWiwSlu+8PSs6ym5KuIkxRiu1eN9/PyH2eGJjIufNn9mw50TVy2st6dcp5XK8sOTli/+3PCxnYvjvZta+t/Hn1TviH/5Dwp/+1KYQxiX33lvz0Uctgq5dP2GjMyMjddKUzJr3N/uuq1AiOxwnJ050HTvm/VMBP6GfhNBPKEn5o0btbvY0nl+yhBc8n/9j6bFNiy+feO9S/t+Kdy5Z9fZzXiuXLImhcJH56Sf88YXncpt/FTPPalDW5Xjgxkm7AfYBHAD4oo91585vOpbBkqT5Cd0u165pk78H2N9lXYWUhhMFSvoJ/SSEfkKaTlm9+vzrryMAJjw87rnnAIBpe3uhaVpvaG+uUxA//YTFg6JtWcNtBiMmYJ01vFJRl+MP45Ovs3hYiuZY2j0jVXb7eMiRENL8hABQcF3f641upsu6CimXrXqF/YR+fSaUfkL9gAH9rubgCi3++QlRKF2OrM0c89o9V/yEPp/+JUnzEwIAazNHX62uQsq14ifsUfz2E4bQ5aj5CZvE+OEn9K+uQojmJ9RQGM1P2OP8sh0iGj2P5ifscbQk1GjDL8pPeI2gdUfbE6JfNA0MP/yEoYr8i/ETIpoG6LTr+2simAYnXa1boiySLJMAVxR0B3dpaZvH+84WASLKZ7et+/jpJ+Q4zuevsHWfX4if0F1eQfr0avqTkM6WxXp/9lXJ0AFCCJHlbmVEMEmY0q833YM/N5DUO85Ee3qmoh15290v/W/8e494EwzRNL5YefyrT6sMNNV2Ry7BWRWWaA2Fqg5+Qu7yttydvIcX22wDI8ty7/gI7wyC4hpU9xNWvbrUvG2T6eY/EEIQQojl3D8cPWBf20Dk1n5CjHG4lWVVXbZuNhv79I7tzhU5mCTMHJPeWHPK2/wIIVgJB0MXDE8fVF9xCWOCECIEQnT5BwB3YWHh3XcnptgTkhJEhwsAEMs4i4qKl9+FX2m/P+HgAX3tdrskScqqqly+7Pzqj8etXERRFAEZAECnu7BsqXv7N7r7p0GrNbSA0PhxGbhZEsZY2SuCLTvbppIrqm7DhjN/en7Uk3OsVqPc6EEIgU53ef3X59Z9TT9/e7v9CUdnpDMM461/QkiIuiddEBlpH5bWv6V7GERLCDgJhcYK5+USRNHeeL0TYlKilfyNmXZgocFReQwQDQCEEIvZOPWGoSGKJZwrFy5eiHv7PtHVtOoCITR95iTXtydSfPoJJUlxVT78hH3jdaOGWAlq2Z+wCUIEUfImnihKozPSohKU2QtFdRx79rJRJuOc62UXDwAYY7vNMmnKOGbDoWSffkIZQ1NdJRjjldmZJwC15/eKkoQQDQCSLE+bep1eH9iKhcB/Y0ZyY8lF0XoAIIToOMZsDuEiMoIlWWhAdFN/g6YpS5iST/+tQTRNAXB9o1vP+UbERDoAuvYTKqjKp5/QHGYRLjta9ifsCCHEbNbrlJuyVxfEcrSBY2LtuN7p/dkUlmPDo8IvE9KFn5AQotexJlNPmQmbaT07SgixhRmpAH+CMOBHO0ZnY3ThzSZaghgTxdkDPYj/IEbPmmJbPLuIYmlDbIhieZ+vXXtOIqa5Wgg4d58gAFfbn1AxVb79hKWVpOtHf4JpXSSiQ3g17EmIKIh1Lj7/bNMvCCIkNzidh4uuWgmItVBceM+IbKHN7CjBjCE+0DGqwJPQ0IsxRmMsAgDBEs3ZOHMIf2SOYoxcWF+MBQCFdwLsiDEt1TJ8RN0n2yiLARACCiEdU7cqN/ymUT22P2FHPyFfVCGcKIu8Z9qV/QlbvRBCAICxwJn7UJxFEQ2qEzEvB0Tauf0YZTEAAMXScr2rcesPve6b3mP7E/qPISIVsOwdHsOyoLMPQQEmYcB+QgCQBQdfe8pZud8QOdwQmU7rwgI9QkBgySU0ljvO5XKWRGV3AuwIX1p64vqxdJw1bsVCqaq2euF7VQ3O3b8ZypqNPbc/4ZKXK959wz7/Bq+fsHHNjoO9DBempVF8+xXMkihlTR83ZGAiFz1OZ0miFJ2mU5far9YXP7jAckN61JIFzs2HL7+xrpCBE9nDemx/Qv8hRJb5WkfZFiw6rUmzGEOvlqcnPwkmCZtiY0kRP3sA4RDd/R9WvCp1GzedmpXt7YCyJnPq4YNUcrJPpwhFIY5jASjFVZ2ed0fV52spAAwQnTMv8ZOPZFn2ORPBsgxNU96Bq18Z5//80tn//pO3EsKGpQ86uF8C388FNEOzDK1yJRBMgKCgNASfhL9iqt59t/HIEQIocs5sVYbpZYej7PHHgRBAKHHZMtryK+lnBsq5p56SLl8mCMU//bR+wAC15YQKLQk1NFRGW8CtoaEyWhJqaKiMloQaGiqjJaGGhspoSaihoTJaEmpoqIyWhBoaKqMloYaGymhJqKGhMloSamiojJaEGhoqoyWhhobKaEmooaEyWhJqaKiMloQaGiqjJaGGhspoSaihoTJaEmpoqIyWhBoaKqMloYaGymhJqKGhMloSamiojJaEGhoqoyWhhobKaEmooaEyWhJqaKiMloQaGioTTBI6nc6lS5d+8MEHiqsJiA8//HDz5s0qCvjuu++ee+65kpIStQScO3fuxRdfXLFiBc/zVy8dMurr6995552e3yzeS0FBwbPPPvvqq68WFRWpIgAA8vPzFy9evHv37uA+HkwSfvvtt3a7vbGxcefOncFF7T5bt27duHHjjz/+qJYAh8Oxa9eucePGffLJJ6oIIIRs3bp17Nix9fX1+/btU0WDl7y8vBUrVqDQ71rnk5KSkiFDhsyZMyc2NlRbOHdNQ0PD1q1bJ0yYkJubW1dXF8QRgknCo0ePzp49e/z48YcOHQri44owYcKERx991LtFqyoIgjBz5szMzMza2tqrlw4NOTk56enpVVVVOl1Pb9Tews8//1xYWJiWlqbW9l5OpzMiIsJkMllU2kDuwoULtbW1ycnJmZmZDBPMjp3BNGK32200Gg0Gg9vtDuLjimAwGAwGg4r7ukVERIwaNWrDhg0TJkxQRQBCyGq1Hj58uKampl+/fqpoAIC8vLyJEyfGxcWpdSesrq7etm3b8uXLT548qYoAURTz8/PXrl1bWFjIsmwQRwgmCTmO43leEASOC2xbYGVRfWfFkpKSwsLCGTNmqBJdkqQDBw5kZ2ffcMMNx48fV0VDXV3dunXrNm3atGPHjgMHDqiiYcKECS+++OKsWbNyc3NVEYAxHjZs2OLFi8+dO1dTUxPEEYK5e6akpBw6dKiysnLQoEFBfFwpCCGyLKsVXZKklStXZmVlqXUl8j4TRkdH19XVJSYmqqLBaDS+/PLLLpfr5MmTSUlJqmgoKCgwGAwOh8Nms6kiwGazRUVFVVdXcxwXXGMI5k542223rV+/vri4OCsrK4iPK4XJZIqJiVEreklJSUFBwapVq1atWqWKAJZlJ0+evHjxYgAYP368Kho4juvXr9/QoUNHjx4dFRWlioaMjIzXX3/9yJEjc+fOVUVAYmJibGzsU089lZmZGVwlaNtla2iojDZZr6GhMloSamiozP8D/S4Yg74xBpEAAAAASUVORK5CYII=", "info": { "equation": "7+60=67", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "7+60=67", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
f89b3738c02117088cd45f3a60ddf4a8169417228171c118623bc7d000fe6007
25
4,031,053,213
train
2025-09-16T02:27:50.033346
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 4031053213, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'7', 1:'4', 2:'-', 3:'3', 4:'8', 5:'=', 6:'3', 7:'9']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [4, 1, 7, 4])</answer>", "action": "('move', [4, 1, 7, 4])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "74-36=38", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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fECOUNSk7OkwvWmx0lL559iuKyHHp/9jj0YFxCzKEnxAAAERCUnMyE0bFCCYLEx3WuvT3wmnj+KqDjMHgh+IQfkLSrzhmfOqYhFjBaGGiwi799B1LWXNW1UEfrExDYjx40GVJYP2EBIAGKAgfOXL2TGy+bgWw2ezYYTUQSfgP7u/7Zr//iuXlzn8SAApgkjZq9I2Kdrsd95/eGEv7t9rRM/1WvLmf0ElREHk7AGATH7F8btfv9/it6L2fULTaAAHuM4c/O/fqz7cRUbxdsrA39xMOLBQEUTBbASGx22T4/r2t33sd9/WBX0F4cz/hwFu5oiAKJisgJHQbDY8V9+5YJ3R0BDIIA+7u81jXTojDweihAk0xCdGIuxxgRRhcEYjEjNbN/YQeq3AJ0UH1ExLgEqJvM5fmTf2EHsCEiYuiVKph8hOC+70kJszoSEql9M1POCRD2v98ZVAH4yAQu2A9dIrYPPjlJCneJKOFkMSMls+KAOaqUySYfkKEzFWnsMXi4Ui6VRnST+gKQ1lrTot9fX63cWg/4Y0ghrJ+e1Y0mrxU9DYIIx95hGIYl1UG1k/IsIxh7iSagHNyiWUZRCHHGcX4RWX000/5r7h4scv5jEYQPq+AAeSS0ULIMVpElAZJYwxD+Amd2khRFCBAHNO740Dk48PuJ2RZhqIpAEAqrnfH/ojvLJRy+Q0yQ/gJndpI0zQAUBpl39/KwmbePVx+QmdFxqGo6ttdoc2fynkae3fH24EZALiwevWF9euvf44tAH7CxW3btg04GI9ljW66dzxtu+FdJ8FkmjdvVlK4oXnJJlVKdvrOXVL8hE3Ll196++0Bd9/JtBGn5mbT9hvsz4JdmHPf9IyMFPXoexj1CCRtSP2mfsJriiZzcfHknIxxLc/+AYj+jgNllErlt6JXfkKTedq03CmTss+v2Iw7xKyqaloraQT/VvIT9iOYLVnjx917//TWV943H2zKrq7xMiQ8clM/YX8IiFZr6tj4B+bPuvSrv/bt/Tar4pAyxbukmvd+KoxxYP2E9o6OmoQEh4Px2OTJNqvlBgej2WyxmPdNyC4FqAAoYemPNr4gUVE0meoyMhzuvrrMTL6321XRbLaYzYLdFiiv3RB+QrPZYjaXz529H6ACoALBfz0fDD9h1eLvlgA4nJwfLHsQS5O7Bf2EFrO57pUX/wlQCXAQ4L35Uyx4eP2EFrP5+Mb13zi+ygvw3t1ZPbzvfsIhEUiA/YRMRMTY999v27YNAYz60Y9YhdLlbR8CcGZm2tREDQFETxl7JTZCoiKlVo95//3LW7cCwMhnnuF0YRJXOCTe+AkbC8bkMVNoilZkBclP2DgxMd04WUkzyrTYM2PiCZFyQ3OL+gmbMkdFz5moVyqUcVHqzDjRPOx+wvOpI1T35YWpVYqYcG1OHDZaIcJ3P+HNIYIYWD8hAOhnzdLPmjWo4jD4CbUFBeMKCqSvx3u88hP+7qlg+gmZMO3IDd9TqTVEEMjf66TI3bp+Qi4EfsLoNbedn9AbRdlP6DtD+wkJwUYrxhQQIlFR9hPeUET2E8oEH9lPKB3ZTygjCdlPKB05CGUkcSv7CW8X5NvRYWdIP2FgQRSSNNbpI7esnzDwePcOmh/4FoTCIJ9jGj6CrxhYhvYTAmDi6f1DvxV7+2w9PYAQEABCEOvB5T0wJV5AuDX9hICoALYRBIFvawPK0P8nTbuf5xBFYw+fwx8aX5z1FJWcGEuI+9jscIEAkpNGEyDoth0YHdJPKGKsVWCGDZiNqGXVqhEjuoBhwS4gluUbjlXs+siIsLMiR1s4hdSkqzO3mp9QxNhmvKJJCg9UGF5+fZOhrpp5OBfsItA0vnzl8OcfdnDIWdHYcS4lXedHgPgQhAxD5+Wk86Z2RPWr+qTkBwjBxLwMc+9Fx+2VY4z7NuLqu+9e/eQT5xxaz4ED59c2OfsJRYwnTsiiGAaLGCS3sePjj9v+84P8z3/huAggjuv6+puWz3YxP5nvPD9hTk4mx3GiiFGAepVLSLh5LjSA9B04cGHDBudetTQ1Na/4wQ1+QozTUsdqdVpBEAGQxGPVVF197rVfTvj1YwzDELuIGMZ8qvH0m0/Q65+47ifEeOyYBIPBIAgCAGCMvY9/H4KQ7z7Fm9odV3m1Sjl96rCf8PjeJkvfZYQoQoDj2BnTJwy3YmDx3k/oiEBAaOad+ZIUD5Srp6bQ40YRQQRCFAquaMZkZndNorufUMQAgAmeeWd+oBJpwcEHP6EgAoAoiEWFeUoJb6hb6huYSE4xM4dYbQBACLnzrinWPSfGuvsJBQEABFGcOiVHr1N7uX4fglC0mQgWEM0BAEVRWp3/Lxl7CRbMRLQ5PjCBENLrvW3VLYIffsIwaW1EDMtE6imNSuwzAwCiKENUeFe/oue0gUTF4OOrn5AQotdpKAlnGkTTtFZJR+pwr8VxpxkeHX6BQoP5CQkhOp2KHuwDgm74MODDqKMpRumYdw1RNK2M8b6ufzDKSIrV9E8mjSha5f9M7iHBDz8hrRopRZGIdv7sFeFqt2Moj9gE8+HGwb5uHhDF4OOznxAIrYwB5P/YJhFFe3uf7cxlYCgAAASmQ6eIdVA/IRBMK2O8H4LyYcs4bRzFqAFjAAyIVoRJ/fbZkLDqkTSrI1gAIICQ8nbLL3npJ7w+WyARFYY0SYqPPmI7cdne2k5xDFAUYGLaXRXx3en/j+YndPqhr2UmOcM4JCEIdUXTKaS1Hj5JqRUAgJRc32flhjmTXPyEDEM7rn4Y2zl9MqK8/myFT8O4It/V1/I1tpvDkubSyggpZxevFbv7WveJ1s6wpLmMKjoIioHFKz+hXbi7eEpOdrp69CxGHev9zvPIxQ0bLvzH72PXP8UmjWh75g+nrdbaeTksoGGdnzDIeOUntAs52al3z5ykGDFNETZW4lfzuv7788YfPh313ENhD0+9vOLfLtY3lz6cy6hv8BMKgpCRljzn3qlcdIHCkEox3n6I0Pd8EcEAJCDZHu8VCRCJ5tpQQUTxeEFBT3U1AGgSEzOqDxGdFtzG6hiWZujA5NAAoL5oRlfpfgSgMISPP1IHMdHuWTvHmTuo+zGgnH788csffkgBMEplZmUlk57mITNJUyzLBKqNTcuevfjuOxQAQlRm6X4ufyKIrooUTXG+K/p+0g3+tcjXl9JvJbzxEwacMe+927rxdwRI1Pz5yvj4ICgGnyH9hAEn4XcbCcEEY+2ECfrCaQFccyDfnJCRkfGD2+wRS0bm/x5yEMrIhBg5CGVkQowchDIyIUYOQhmZECMHoYxMiJGDUEYmxMhBKCMTYuQglJEJMXIQysiEGDkIZWRCjByEMjIhRg5CGZkQIwehjEyIkYNQRibEyEEoIxNi5CCUkQkxchDKyIQYOQhlZEKMHIQyMiFGDkIZmRAjB6GMTIiRg1BGJsTIQSgjE2LkIJSRCTFyEMrIhBg5CGVkQoxvQdjY2Lh27doTJ04M09Z45KOPPiopKQmanNVqfeutt3bs2BE0xc7OzvXr12/bti3I84J8+umnzc3NwdFqampas2bNpk2buru7g6NICHnnnXc++OCD4MgBwOHDh1977bWXX37522+/9amiD0GIMf7HP/6Rlpb29ddfi+LNJn8NIA0NDdu3bz958mRw5ADgyJEjOp2uvr6+ra0tOIqlpaXZ2dlnz54NWkgAgNFofOONN7q6uoIjd/78+dTU1AceeECtDtLs3NXV1SzLGo3G48ePB0cxOTl5wYIFarXaZvM8F/pg+BCENputo6Nj8eLFXV1dPM/7uIV+kpKSsmrVKoaRNG+mTxgMhnnz5imVSl+70m+Ki4vz8/O7u7uD2cySkpKMjAyKCtLziNlsNhgMYWFhHMcFR7G2tjY+Pn7ChAl6vT44ihEREVlZWWq1Ojc316eKvl0JMcaOX4J2JWQYRqvVBvM+LTU1VRAEjHFkZGRwFLVabW1trc1mi44OxuyFANDb29ve3l5YWIhQkKZ+7Orq+uqrrzZv3tzZ2RkcxY6Ojr179+7Zs0ep9HbGXOkcPXo0JibG1xOND0GIEHKcOCmKCtoZFACCP4Pizp07CwoKVCpVcORqamrmzJmTlpbW0tISHMXDhw/v3bt39+7dpaWlwVHMzc1dt25dSkpKQ0NDcBQ5jlu5cuWECRNqa2uDowgA9fX16enpvtbyIZY4jtNqtVVVVWq1WqGQNAO4TxBCgnbhBYATJ060trZOnDgxaMF/8ODBhoYGk8lE00GavDovL2/16tVZWVnJycnBUTx9+nRzc7Pdbg/aM2FycnJXV5fRaNRqtcFR5Hm+paUlLS3N14o+BCFN00VFRVu2bCksLAzm04tarQ7afRoA1NXV1dbWrlu3zmw2B0dxxowZGzdujIqKSkpKCo6iwWDIzMzMz88PmmJ2dvbmzZtNJpOvz0t+U1xc/Oc//7m1tXXy5MnBUezp6RkxYkRYWJivFeXpsmVkQoycrJeRCTFyEMrIhJj/BcbxYVxa6jurAAAAAElFTkSuQmCC", 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", 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", "info": { "equation": "74-36=38", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
3425f7ed96cfcc518f9fedc19cd24e820468ce3c482fb734ee80052430a8f33c
26
911,989,541
train
2025-09-16T02:27:50.048413
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 911989541, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'4', 1:'0', 2:'-', 3:'9', 4:'5', 5:'=', 6:'4']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [3, 5, 4, 4])</answer>", "action": "('move', [3, 5, 4, 4])", "reward": 0, "image": 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", 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ABBNjnEmr10CAgkurDZaZyKInRDQd0gkShbyCgL086WltEJEkry3K3H30RU8YykTMpMbTOg6xSuoJucwUBBB9x2Qw0KO6FePeCgITbkQyJa+ekHh69DgAAEWJl695z17GogzLR4nAuw6fxe1OXykilvZUXxBsLiL4XZyQHoVeUesJiSiGdgImvS8MQhTHxoQ9JhaSPuoJAw1gGW9VkK8itCBSPSEB19ffE4DgAL4Z6VlPKPayJgYxlGvfSQmgS43UF3rTEyIAy6LprJYLmJZhWYamaQCgdKxwsdX5XV3Ksn/ve5Y9kbJ8WfvOY1Kbi2JpAKCMOufuYyAwlh9dHxukDIbEJUsC7k8uPaE+L89UXBwsD4u7d6I2LZ6hqAA/0L6pVIKBYrRx8sgX+qQn9CsI3xRZSF9FRth6QpYBhIBCSMNY3/4i4YEHmPj4KG0YDITUE+pS42Nnje9Qt3YvCIQQIEQZdba/VBjHjtPnR6onPDljRlcNoADq0y0n7itkKYp0fw+ITteYgpEzy0p++Muuq2/vSP7xT2TUE9oqdyYun2coLbqycpOt4uhtb26Kf+CBbqlcrlMzZjj27+86IqOe0FtfXzV2rGiz+fxAAVyzxOx7YCxr0BFJ8u8bS5I4dEjyQ/ffg7SpMalTaG0cyLTC8tKLL1549tmu1gwN8N24oZfuyaO8Aa96Itqds0un5hWOav7tuyF9FRmS3f59SYnz+PGuTpGgYXfNLwyhJxREHUcvXjyfNFublr9B6y0Feytpkyl6GwAGgZ5w4cKrW7Z0OQEB7JmV4ylMhw51a+dxjCWP99FH5sbFGBp/+hrfYB1z8FvNiDDWr3bTEza/+mrd8uXge/Ll5OQcPCBxXHBL7OijP+L//okWAAFcTjMa3n5DRj3h1+lD2aZmBMACHCtMnv7xnqwgjZyz/vzBrMx+0hPavvji9H33YUEAAM5szt2/n8rMAClEc5SiEMexAJTsvaBzjzzSsnmzb4osZdGi4X/eKElSQM+cELIvZ6Tu4iW6V19FhufMmepJk3ibDQAolh390Ue6GXcTMbCd2fzZxzUPLjT72mka9sRP5z257m+yGDAY9ITY7a6eMMF+6pSvdDPXrYt/+qc4yAn2szXfFo6LAwAABuDAfeMf23oocj1hyrJlYmsr39KCAdKWLWONppBrdaonpnfoCSn59YTHyvJnX8uUCOgSzeZxKVIojVy7QdN/ekJzaemIdesc331HABLmz9ePlqdah8WIP/6R6lRRpq9dS7McG1QSAianZuXOupbRu68iQ3vbbdnvvnt161YEEDN+fMc3HYJsuDwkzl6Wl6k385gYpud9D7LFwGDQE1I6XfYHH1x69VUKgEtO7lgPFOSElnhj430FI9lYHuOYgqj1hAAw9Pnnb3yOXpP84oDpCUPRz3rC5KefDv3IHShoozHzrbd6T0NEQdtvekIAMM+de+PZDo8Q99islMnjBV6U3G7yyTFZsh4sekIAfUFB9g0LwiMY5dUT9glVTzg46Ec9YR9BQNw8truxIBKpt2HDsBgsesI+ouoJVW49VD2hiorC/LPrCVVUFGcQ6QkHhMHVHO2jnvCWh29srOkcFBm1bRs3dOjA29D86qstGzcCQOzUqRmvvz6QWQ8SPeGAEUkQijf6HHrEBOsJaX2IiQdOo+s/GxQHu1xnH3rIfvy4T9B19qGHcioqqCA/cBwX8itsstBeUXFh+XJfGTiPH9eOHp2ydGlwMppm+8mGwaAn7COEECmcRWrBRBKE2VnD6F4+fhEpwXpCiqKb/v63C/mjupQjAECAeN2OjIy0kEscbwEuLF3aduCAr0LRAO0HDtQ+/VTTorkBekJJkoYNsfg+TC6vAZ66urOLF0NnX4UANK5YYYvTX+yuJ5Qwdlgbs1MS+6kglNUT9p2YGP3wYanROCGS+5pcXOi4csrXKiCEYCJPGdT/4hf2yso7nluDOx+umKYv/Mdv2YfG62aN64pDQohOrx03uUjsXLEtSZjIXA8Vo3nt2paNG/0f6TRA66Z3Gur2BugJAaGpU4pw55sBY0zk8IJos51bsIBvavJfrkUE4dyjjwXvT5iWmpSRPloQOhaXR/lCCGb4mjXyXrA/SEiIH5M/sqtpFkHTIOwg5B2Nzmu1iKJ9+Q0bmpKdLE9DPFhPWDQxvznNkmJJTQhQcBHCd25bK4rijLsnGWNukc9vh6sn9AWeIIgTi/KThsowJhG2nrAzAhGFSmdNjd6Amw570zeCKPo24RAlaeaM27Xa8LYrDjsIsejGoouitQBACNFwTIxMX0cP1hOa4kxWvcbbq4KLEBIba+iP5rEiRKYnJITExGg1skzZR6EnjDcbZDDgZsN/V0ZCiDlWT4X5CcKw6y6jMTOaOOhoghLEGChOHulKaD2h1dHbt8ABgGBal6pUp1x2ItMTAsG0JgHRcjwNo9ifkNYrMIqrON12ZSSY0Q0J92tD4QehLpHRJ2MsAADBIs2ZuRh5XB9KT3gCefi4ebcHK7gYhvbNZWCJ18SNQtTg7LSHTVh6QoahEUIAgDHPxQynOBk+OafuTxguOkseYMk3PIYlXhOfG+7XhlAEvXmJt3utp5zNB3QJY3UJhbQmNtwrhAbj2iVLrn31efJ/lBtKi1pXbnLvPrEnL8le3LU/oZ8NWFr0UFlyUrxh6CxGn4zo8Frhg5k+6wlBFMSy2VNyR6VzyVM0xgyKlac1GIaesF/3J7xJIESSvFZ7/XYsOE0ZcxhdYriKqkiCsCNvLMr//pGkqvET2k90TJGNWP27hGd+hXtoBXEcS1HolmmI+tMXPaEPlmVompLdCX3UE0L/7U9400EwARLZMyjyIOwnPGfONL3yCiKEiY+/KUao+wPJbq//xS98/05fu5Y2yvZp475j27atS0+Y/PTTA2/APw+DLghVVP7Z+OduQqioDALUIFRRURg1CFVUFEYNQhUVhVGDUEVFYdQgVFFRGDUIVVQURg1CFRWFUYNQRUVh1CBUUVEYNQhVVBRGDUIVFYVRg1BFRWHUIFRRURg1CFVUFEYNQhUVhVGDUEVFYdQgVFFRGDUIVVQURg1CFRWFUYNQRUVh1CBUUVEYNQhVVBRGDUIVFYVRg1BFRWHUIFRRURg1CFVUFCaSIHQ6nWvWrHnrrbdktyYs/vSnP33xxRcKGrBnz55nn322trZWKQMuXry4evXqDRs2eL3eG6fuN9ra2tavXx9ya9EBoLq6+plnnnnppZfOnDmjiAEAUFVVtWrVqsrKyshOjyQIP/nkk/j4eIfDsXfv3shyjZ4dO3Z89tlnJ06cUMoAu93+9ddfT5ky5b333lPEAELIjh07Jk2a1NbWtn//fkVs8FFRUbFhwwbfdqUDT21tbW5u7v3335+amqqIAe3t7Tt27CgpKdm5c6fNZovgCpEE4dGjR+fPnz916tTDhw9HcLoslJSU/PznP6coxZrTPM/fe++9kydPtlqtN07dPyxYsKCwsLClpUWjUWyP1B9++KGmpiY/P1+p7b2cTqfFYjEYDEYlNpADgEuXLlmt1szMzMmTJzNMJDt2RlKJ3W63Xq/X6XTuHjZYHwB0Op1Op1NwXzeLxTJhwoRt27aVlJQoYgBCyGQyffvtt1euXMnKylLEBgCoqKiYNm1aWlqaUm/C1tbWL7/8ct26dSdPnlTEAEEQqqqqPvjgg5qaGpZlI7hCJEHIcZzX6+V5nuPC2xZYXhTfWbG2trampqa0tFSR3EVRPHjw4Ny5c++6667jx48rYoPNZtuyZcvnn3++e/fugwcPKmJDSUnJ6tWr58yZs3PnTkUMwBiPGTNm1apVFy9evHLlSgRXiOTtmZ2dffjw4ebm5tGjR0dwulwQQiQp9E7aA4Aoihs3biwrK1PqSeTrEyYnJ9tstvT0dEVs0Ov1L7zwgsvlOnnyZEZGhiI2VFdX63Q6u91uNpsVMcBsNiclJbW2tnIcF1lliORN+OCDD27duvXs2bNlZWURnC4XBoMhJSVFqdxra2urq6s3bdq0adMmRQxgWXb69OmrVq0CgKlTpypiA8dxWVlZBQUFEydOTEpKUsSGoqKiV1555ciRI+Xl5YoYkJ6enpqa+stf/nLy5MmROUHdLltFRWHUyXoVFYVRg1BFRWH+P1k8BIWMr9wSAAAAAElFTkSuQmCC", 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", "info": { "equation": "40-36=4", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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UvHpC4unX4wAAFCVevOI9eRGLMiwfJQLvOngS25y+UkQs7Wk4I3S6iOB3cUL6FXrFrCckohjaCZgMvDAIURwbF/GYWEjC1BMGGsAy3vogX0VpQbR6QgKuXUcIQHAA34z0rycUB1gTgxjKtfuoBNCrRgqHgfSECMCycDqr5QKmZViWoWkaACgdK5ztcH7TnLb0Z+Fn2R9py5battRJXS6KpQGAMuqc2+tAYCw/nH/VXIMhefHigPuTS0+oLygwlZUFy8MS75mgzTAzFBXgB9o3lUowUIw2cVSMufsIS0/oVxC+KbKQvoqOiPWELAMIAYWQhrG+/UXS/fczZnOMNgwGQuoJdenm+Jnju9WtfQsCIQQIUUZd5x9rjGPH6Quj1RMeLS/3HwtqybIcvreYpSjS9z0gOl1jikbOqJr63R+3XX57c+qPfiKjnrCzdkvysjmGytJLy9d31hy67a315vvv75PK5TpWXu7Yu7f3iIx6Qm9LS/3YsWJnp88PFMAVS9zu+8eyBh2RJP++sSSJQzJT5913N9Kmx6VPprWJINMKy2vqCXsgot1ZUTmloDiv7ZfvhfRVdESgJxREHUcvWjSXtFnPL3uD1luKdtbSJlPsNgAMAj3hggWXP/ywt2eIAHbMzPcUZ0G3urXnOMaSx/vwQ7MT4wznHn+Nb7WO2f+VZngE61evBiEAtL36avOyZeB78uXn5+/fJ3FccEvs0MM/5P/6iRYAAVzMMBrefqO84sEo77UvRJJ2ZQ1hz7chABagrjh1+sc7cocFvmScLaf35+boJSAAHE3tK8//0ccHTDJJmTq/+OL4vfdiQQAALiFh9N69VE42SCGaoxSFOI4FoGTvBZ166KH2DRt8U2RpCxcO+593JEkK6JkTQnbnj9SdvUAP6KvosB89crCwUE+AAHAsvfeesQ9t2KZDgatG2j77uPGBBQm+dpqGPfz4nMfW/EUWA3xP5PZ336V8cyRpaUV1dWxqkI4IAACIxEt8J80lIDrmLrG/CW53Q0mJ/dgxX+nmrFljfvJxLAY2tu0nG78qHpcIAAAMwL57xz/y0QFdJJOWfQYz0pYuFTs6+PZ2DJCxdClrNIVcq9MwIatbT0jJryesqyqsuJIjEdAlJySMS5NCaeRsBs310xMmVFYOX7PG8c03BCBp7lz9KHmqdUSEpSfE5NjM0TOvZA/sq+gIU094MTPRXlWQo0/gMTFMLzgCssXAYNATUjrdiPffv/DqqxQAl5ravR4oqCDazcZz9xaNZON5jOOKYtYTAsCQF1649jl6TepvbpieMBTXWU+Y+uSToR+5N4qw9ISioFVcT+gREh+ZmTZpvMCLkttNPqmTJffBoicE0BcVjbhmQXgEo7x6wrBQ9YSDA+X1hAiIm8d2NxZEIg00bBgRg0VPGCaqnlDl1kPVE6qoKMz3XU+ooqI4g0hPeEMYXM3RMPWEtzzh6AmvK8ruKTBI9IQ3jGh8LV7rc+hRE6wnpIN0dADAaXTXzwbFCVNPyHGcJN+4dACelhbRfxkgQqwhxJg7TbPXyYbBoCcME0KIFMkitWCiCcIRuUPpAT5+ES3Y6WxesCBrZjpQvuoHFEWf/+tfzhTm9SpHAIAA8bod2dkZIZc43gKceeqprn37fBWKBrDt29f05BPBekJJkoZmWnwfJpfXAM+pU+1LHslaWd3tYYTA7Tn63luXUk3IT08oYeywnhuRlnydCiLj+edFq7VXT8hotIOr2dZDXJx+2ND0WJwQzX1NKit2XDrmaxUQQjCRpwxafv5ze23t7b9ehXserpimz/zzL9l543Uzx/XGISFEp9eOm1Ta+6iWJExkroeK0bZ6dbufohcAaICO9e+2Nu8M0BMCQlMml+KeNwPGmMjhBbGz8+S8eXFWa+64AsHjBQCgkGCznVy0RHq2UjOiz/6EGekp2VmjBKF7cXmML4Rghq1aJe8FrwdJSeYxhSN7m2ZRNA0iDkLecc55pQlRtC+/oUPSRqTK0xAP1hOWTihsy7CkWdKTAhRchPA929aKolh+10Rj3C3y+e1I9YS+wBMEcUJpYcoQGcYksNPpqKvL+P+Piri7VokiLp85+cqaLcNHF+injwnUE/ZEIKJQ5cwpsRtw02E/v0cQRd8mHKIkzSj/gVYb2XbFEQchFt1YdFG0FgAIIRqOiZPp6+jBekJTosmq13gHVHARQuLjDdejeawI0ekJCSFxcVqNLFP2CCEALudqPBNMzCnmK2HoCc0JBhkMuNnw35WREJIQr6ci/ARhxHWX0SQwmkToboISxBgoTh7pSmg9odUx0LfAAYBgWpeuVKdcdqLTEwLBtCYJ0XI8DTEmAK5dR3p7moihnHuPYYB+Nc090PobPYo7GOizKyPBjC4z0q8NRR6EumRGn4qxAAAEizSXwMXJ4/pQesLDyMMnzvlBsIKLYWjfXAaWeE1iHqIGZ6c9YiLSEzIMjRACAIx5Lm4YxcnwyTnGbE66//4rb3+ONAxQ3Rq5rg3bDQVZ36v9CcNHZykALPmGx7DEa8yjI/3aEIqiNy/xdq/1mLNtny5prC6pmNbER3qF0GDctHjxlS8/T/3nakNlacfy9e7th3cUpNjLevcn9LMBSwvnVaWmmA1DZjL6VERH1gofzIStJwRREKsqJo/Oy+JSJ2uM2RQrT2tQstmO3jmdt7VlvPo4k5p48fHXHKcubp2RB8OSbuj+hDcJhEiS12pv2YQFpyl7FqNLjlRRFU0QdueNRfnfP5JUP77Edrh7imz4yl8lPfcs7mdKkONYikK3TEPUn3D0hD5YlqFpSnYneE6cqB9fIjgdCACAyv/0E92Mu0mQlA4AEAKO4xBCcn3x8WaFYAIkumdQ9EF4nfCcOHH+lVcQIYzZfFOMUF8PJLu95ec/9/0/a/Vq2ijbp43Dp3Pjxst/+wgBiSspSX3yyRtvwPeHQReEKirfN77fTQgVlUGAGoQqKgqjBqGKisKoQaiiojBqEKqoKIwahCoqCqMGoYqKwqhBqKKiMGoQqqgojBqEKioKowahiorCqEGooqIwahCqqCiMGoQqKgqjBqGKisKoQaiiojBqEKqoKIwahCoqCqMGoYqKwqhBqKKiMGoQqqgojBqEKioKowahiorCqEGooqIwahCqqCiMGoQqKgqjBqGKisJEE4ROp3PVqlXr1q2T3ZqI+P3vf//FF18oaMCOHTuef/75pqYmpQw4e/bsypUr33zzTa/Xe+3U142urq61a9diHPFe7bLQ0NDw3HPPvfTSSydOnFDEAACor69fsWJFbW1tdKdHE4SffPKJ2Wx2OBw7d+6MLtfY2bx582effXb48GGlDLDb7bt27Zo8efIf/vAHRQwghGzevHnixIldXV179+5VxAYfNTU1b775pm+70htPU1PT6NGj77vvvvT0dEUMsNlsmzdvnjp16pYtWzo7O6O4QjRBeOjQoblz506ZMuXgwYNRnC4LU6dO/elPf0pRijWneZ6/5557Jk2aZLVar536+jB//vzi4uL29naNRrE9Ur/77rvGxsbCwkKltvdyOp0Wi8VgMBiV2EAOAC5cuGC1WnNyciZNmsQw0ezYGU0ldrvder1ep9O5+9lg/Qag0+l0Op2C+7pZLJaSkpKNGzdOnTpVEQMQQiaT6auvvrp06VJubq4iNgBATU3NtGnTMjIylHoTdnR0bN26dc2aNUePHlXEAEEQ6uvr33///cbGRpZlo7hCNEHIcZzX6+V5nuMi2xZYXhTfWbGpqamxsbGyslKR3EVR3L9//+zZs++8885vv/1WERs6Ozs//PDDzz//fPv27fv371fEhqlTp65cuXLWrFlbtmxRxACM8ZgxY1asWHH27NlLly5FcYVo3p4jRow4ePBgW1vbqFGjojhdLgghkhR6J+0bgCiK77zzTlVVlVJPIl+fMDU1tbOzMysrSxEb9Hr9iy++6HK5jh49mp2drYgNDQ0NOp3ObrcnJCQoYkBCQkJKSkpHRwfHcdFVhmjehA888MBHH3108uTJqqqqKE6XC4PBkJaWplTuTU1NDQ0N69evX79+vSIGsCw7ffr0FStWAMCUKVMUsYHjuNzc3KKiogkTJqSkpChiQ2lp6SuvvPL1119XV1crYkBWVlZ6evozzzwzadKk6JygbpetoqIw6mS9iorCqEGooqIw/wfBv8hE53ufogAAAABJRU5ErkJggg==", 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UvHpC4unX4wAAFCVevOI9eRGLMiwfJQLvOngS25y+UkQs7Wk4I3S6iOB3cUL6FXrFrCckohjaCZgMvDAIURwbF/GYWEjC1BMGGsAy3vogX0VpQbR6QgKuXUcIQHAA34z0rycUB1gTgxjKtfuoBNCrRgqHgfSECMCycDqr5QKmZViWoWkaACgdK5ztcH7TnLb0Z+Fn2R9py5battRJXS6KpQGAMuqc2+tAYCw/nH/VXIMhefHigPuTS0+oLygwlZUFy8MS75mgzTAzFBXgB9o3lUowUIw2cVSMufsIS0/oVxC+KbKQvoqOiPWELAMIAYWQhrG+/UXS/fczZnOMNgwGQuoJdenm+Jnju9WtfQsCIQQIUUZd5x9rjGPH6Quj1RMeLS/3HwtqybIcvreYpSjS9z0gOl1jikbOqJr63R+3XX57c+qPfiKjnrCzdkvysjmGytJLy9d31hy67a315vvv75PK5TpWXu7Yu7f3iIx6Qm9LS/3YsWJnp88PFMAVS9zu+8eyBh2RJP++sSSJQzJT5913N9Kmx6VPprWJINMKy2vqCXsgot1ZUTmloDiv7ZfvhfRVdESgJxREHUcvWjSXtFnPL3uD1luKdtbSJlPsNgAMAj3hggWXP/ywt2eIAHbMzPcUZ0G3urXnOMaSx/vwQ7MT4wznHn+Nb7WO2f+VZngE61evBiEAtL36avOyZeB78uXn5+/fJ3FccEvs0MM/5P/6iRYAAVzMMBrefqO84sEo77UvRJJ2ZQ1hz7chABagrjh1+sc7cocFvmScLaf35+boJSAAHE3tK8//0ccHTDJJmTq/+OL4vfdiQQAALiFh9N69VE42SCGaoxSFOI4FoGTvBZ166KH2DRt8U2RpCxcO+593JEkK6JkTQnbnj9SdvUAP6KvosB89crCwUE+AAHAsvfeesQ9t2KZDgatG2j77uPGBBQm+dpqGPfz4nMfW/EUWA3xP5PZ336V8cyRpaUV1dWxqkI4IAACIxEt8J80lIDrmLrG/CW53Q0mJ/dgxX+nmrFljfvJxLAY2tu0nG78qHpcIAAAMwL57xz/y0QFdJJOWfQYz0pYuFTs6+PZ2DJCxdClrNIVcq9MwIatbT0jJryesqyqsuJIjEdAlJySMS5NCaeRsBs310xMmVFYOX7PG8c03BCBp7lz9KHmqdUSEpSfE5NjM0TOvZA/sq+gIU094MTPRXlWQo0/gMTFMLzgCssXAYNATUjrdiPffv/DqqxQAl5ravR4oqCDazcZz9xaNZON5jOOKYtYTAsCQF1649jl6TepvbpieMBTXWU+Y+uSToR+5N4qw9ISioFVcT+gREh+ZmTZpvMCLkttNPqmTJffBoicE0BcVjbhmQXgEo7x6wrBQ9YSDA+X1hAiIm8d2NxZEIg00bBgRg0VPGCaqnlDl1kPVE6qoKMz3XU+ooqI4g0hPeEMYXM3RMPWEtzzh6AmvK8ruKTBI9IQ3jGh8LV7rc+hRE6wnpIN0dADAaXTXzwbFCVNPyHGcJN+4dACelhbRfxkgQqwhxJg7TbPXyYbBoCcME0KIFMkitWCiCcIRuUPpAT5+ES3Y6WxesCBrZjpQvuoHFEWf/+tfzhTm9SpHAIAA8bod2dkZIZc43gKceeqprn37fBWKBrDt29f05BPBekJJkoZmWnwfJpfXAM+pU+1LHslaWd3tYYTA7Tn63luXUk3IT08oYeywnhuRlnydCiLj+edFq7VXT8hotIOr2dZDXJx+2ND0WJwQzX1NKit2XDrmaxUQQjCRpwxafv5ze23t7b9ehXserpimz/zzL9l543Uzx/XGISFEp9eOm1Ta+6iWJExkroeK0bZ6dbufohcAaICO9e+2Nu8M0BMCQlMml+KeNwPGmMjhBbGz8+S8eXFWa+64AsHjBQCgkGCznVy0RHq2UjOiz/6EGekp2VmjBKF7cXmML4Rghq1aJe8FrwdJSeYxhSN7m2ZRNA0iDkLecc55pQlRtC+/oUPSRqTK0xAP1hOWTihsy7CkWdKTAhRchPA929aKolh+10Rj3C3y+e1I9YS+wBMEcUJpYcoQGcYksNPpqKvL+P+Piri7VokiLp85+cqaLcNHF+injwnUE/ZEIKJQ5cwpsRtw02E/v0cQRd8mHKIkzSj/gVYb2XbFEQchFt1YdFG0FgAIIRqOiZPp6+jBekJTosmq13gHVHARQuLjDdejeawI0ekJCSFxcVqNLFP2CCEALudqPBNMzCnmK2HoCc0JBhkMuNnw35WREJIQr6ci/ARhxHWX0SQwmkToboISxBgoTh7pSmg9odUx0LfAAYBgWpeuVKdcdqLTEwLBtCYJ0XI8DTEmAK5dR3p7moihnHuPYYB+Nc090PobPYo7GOizKyPBjC4z0q8NRR6EumRGn4qxAAAEizSXwMXJ4/pQesLDyMMnzvlBsIKLYWjfXAaWeE1iHqIGZ6c9YiLSEzIMjRACAIx5Lm4YxcnwyTnGbE66//4rb3+ONAxQ3Rq5rg3bDQVZ36v9CcNHZykALPmGx7DEa8yjI/3aEIqiNy/xdq/1mLNtny5prC6pmNbER3qF0GDctHjxlS8/T/3nakNlacfy9e7th3cUpNjLevcn9LMBSwvnVaWmmA1DZjL6VERH1gofzIStJwRREKsqJo/Oy+JSJ2uM2RQrT2tQstmO3jmdt7VlvPo4k5p48fHXHKcubp2RB8OSbuj+hDcJhEiS12pv2YQFpyl7FqNLjlRRFU0QdueNRfnfP5JUP77Edrh7imz4yl8lPfcs7mdKkONYikK3TEPUn3D0hD5YlqFpSnYneE6cqB9fIjgdCACAyv/0E92Mu0mQlA4AEAKO4xBCcn3x8WaFYAIkumdQ9EF4nfCcOHH+lVcQIYzZfFOMUF8PJLu95ec/9/0/a/Vq2ijbp43Dp3Pjxst/+wgBiSspSX3yyRtvwPeHQReEKirfN77fTQgVlUGAGoQqKgqjBqGKisKoQaiiojBqEKqoKIwahCoqCqMGoYqKwqhBqKKiMGoQqqgojBqEKioKowahiorCqEGooqIwahCqqCiMGoQqKgqjBqGKisKoQaiiojBqEKqoKIwahCoqCqMGoYqKwqhBqKKiMGoQqqgojBqEKioKowahiorCqEGooqIwahCqqCiMGoQqKgqjBqGKisJEE4ROp3PVqlXr1q2T3ZqI+P3vf//FF18oaMCOHTuef/75pqYmpQw4e/bsypUr33zzTa/Xe+3U142urq61a9diHPFe7bLQ0NDw3HPPvfTSSydOnFDEAACor69fsWJFbW1tdKdHE4SffPKJ2Wx2OBw7d+6MLtfY2bx582effXb48GGlDLDb7bt27Zo8efIf/vAHRQwghGzevHnixIldXV179+5VxAYfNTU1b775pm+70htPU1PT6NGj77vvvvT0dEUMsNlsmzdvnjp16pYtWzo7O6O4QjRBeOjQoblz506ZMuXgwYNRnC4LU6dO/elPf0pRijWneZ6/5557Jk2aZLVar536+jB//vzi4uL29naNRrE9Ur/77rvGxsbCwkKltvdyOp0Wi8VgMBiV2EAOAC5cuGC1WnNyciZNmsQw0ezYGU0ldrvder1ep9O5+9lg/Qag0+l0Op2C+7pZLJaSkpKNGzdOnTpVEQMQQiaT6auvvrp06VJubq4iNgBATU3NtGnTMjIylHoTdnR0bN26dc2aNUePHlXEAEEQ6uvr33///cbGRpZlo7hCNEHIcZzX6+V5nuMi2xZYXhTfWbGpqamxsbGyslKR3EVR3L9//+zZs++8885vv/1WERs6Ozs//PDDzz//fPv27fv371fEhqlTp65cuXLWrFlbtmxRxACM8ZgxY1asWHH27NlLly5FcYVo3p4jRow4ePBgW1vbqFGjojhdLgghkhR6J+0bgCiK77zzTlVVlVJPIl+fMDU1tbOzMysrSxEb9Hr9iy++6HK5jh49mp2drYgNDQ0NOp3ObrcnJCQoYkBCQkJKSkpHRwfHcdFVhmjehA888MBHH3108uTJqqqqKE6XC4PBkJaWplTuTU1NDQ0N69evX79+vSIGsCw7ffr0FStWAMCUKVMUsYHjuNzc3KKiogkTJqSkpChiQ2lp6SuvvPL1119XV1crYkBWVlZ6evozzzwzadKk6JygbpetoqIw6mS9iorCqEGooqIw/wfBv8hE53ufogAAAABJRU5ErkJggg==", "info": { "equation": "40-36=4", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
3dd09e2703a50566ecf8d4e2965ec17c238091234c94a782a4789a1e8ad4afda
27
3,344,769
train
2025-09-16T02:27:50.063164
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 3344769, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'1', 1:'2', 2:'/', 3:'7', 4:'2', 5:'=', 6:'6']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [3, 0, 0, 0])</answer>", "action": "('move', [3, 0, 0, 0])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "72/12=6", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "72/12=6", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
878e5a0fcb8d319abba96d6e0afab28d6d3516565dbfbac31cb8f782ce7050ad
28
780,932,287
train
2025-09-16T02:27:50.079607
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 780932287, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'7', 1:'5', 2:'2', 3:'/', 4:'1', 5:'8', 6:'=', 7:'9']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [0, 0, 1, 4])</answer>", "action": "('move', [0, 0, 1, 4])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "162/18=9", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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"info": { "equation": "162/18=9", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
12a4ce730055c5fcbb17e5a31dc4f4e9a237dc32684be0d977e63098032ec3c5
29
4,261,516,219
train
2025-09-16T02:27:50.100240
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 4261516219, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'3', 1:'9', 2:'+', 3:'5', 4:'6', 5:'=', 6:'1', 7:'5', 8:'4']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [4, 4, 0, 5])</answer>", "action": "('move', [4, 4, 0, 5])", "reward": 0, "image": 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", 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", "info": { "equation": "99+55=154", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "99+55=154", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
ac98a1c7466a345a59b863763545ef849a20ffd1e869156dee20cd682267c2a5
30
787,716,372
train
2025-09-16T02:27:50.117472
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 787716372, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'3', 1:'+', 2:'1', 3:'7', 4:'/', 5:'8', 6:'=', 7:'9', 8:'1']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [3, 0, 4, 8])</answer>", "action": "('move', [3, 0, 4, 8])", "reward": 0, "image": 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Wux4Nxp4vPaGkAABBaMacmVFGI2UZV8mZpp9vzTty+OqUMvnSE1IglITFxRYU5BKHm4myNqx4zpw5J/P999SMQCM9IXFdnJYhy7IiegAhLilamDHBWVEx1iL0NDV5bLaBXZMCRAG0ey7O06eUzinMj4iI8kgyYjipr5mIdmwYPnEnSNTSE/qmr6xsmPxHLT2haK8Re85hhnc63QeOVD2w4X8HadCHnpC6Lw6mSZKsSDLICp8zkYkTxHN1V2cR+tATemdkUEI9fW5AQPpc4Xdf3/P2QZUj0EhPSIaNNVOKTQIbbQ3g2n2kgJAA0EG3zh5JIpcGi5yUqC+ZUUtPGCovstsGABgjm61zxtxlyakZwVq8sp6QikNHtCllwkxsmBlp05UVPD70hCOnRbHJ0dig/iWxZnrCIasj2dYrnmulZMzDqVcQEF5hsMgQiViVZ7iDenpC3wQmKhsV2dXu7qhAmCWEfvn1oZj4oCtwVD3hYDCWm22eC10A4zW3aYz41hMOASH38R+JyzUOMaihJ+wfw+E4FmOMWEa+0EVa3WE3LBprfMbsbFNm5lBxWoIwOXkg5QzDsCyDEFAis8Y4zAUyr9o3aukJfRO1YgUd8U3wZqW+JqK4EcIOR29kYu68gPrGhuFLTzgo9QgjZODE6gYGW00zpgXvVwt86QmHjkYiA9f3RWnkbberHIFmesKLv0t2um64YXZOTEzdP7+etG5D0i8D0RPa/vrXqhUrvFczGGDvoix2Qc7/unMpQqjiZM3nf9tvMhlXr7xhQvpMU2IR5jSZAqKKntA31OM5XVTUe+QIUk9PSIlk//Fj2dXB8fw33+5nombdfndQXTIDXFlPOJB65x133JjYJzc89oeM326JXh1gf+w46AnP3nVX+1/+ggEQQK/FcOCuWcirJwQAACLLseHmu+67pe359zyV9rySw9io8gCVhnpCl9N59OEH9gKUAOyy8sHoCatXrNgHsA+gZvVqUXRv37qhveLN7tNbv9/2+Mnjh1xOpyJ7KNVI6kWpenpC37R/9833quoJXR2n2o6/3nFiS1Pp6y/94tburo7gbQ7gQ0/ocjqLb75pH8BhgI+TLFe5nlA8f/5IWNgBgAMAnTs+GiLydDpby4583S+//O8Hb/vp6QkbZqak3FJo5jiYE5SeMOW113BkJAJIfvppnjfgQTOheEEQ1D4yjUQtPaFvWmJM6uoJZXcbAGYY3NTUck3+gvCI6OBtDuBbT9hwbWaOoYfHjPO6q11PyE+YMOmtt7r27BESEqJWDJ/G0BIT1nt7fio24uTIpvzsn56ekI2wxL+sgp5QSE/PePtt7//D75k11hZdRD09oS9U1RN6ehvctlMYs5IkffXd4VvXvKBKjAP41hPyPx09IQBE33tv9L2Xn6BE3VLkmht1PeFVwE9QTyi7OymRMSs4uu2ZuQvy8ouCtzmEvxs9oW90PaFOYBBFdHeUI8RijPbsPWyJSAp1RGNG1xP6Ri/CqxpF7HI07lE8vQgzfX3OXo/1xuX3hTqoMTM2PaEQo+sJda4iJEej23YaYZZhmMrKsxMyphkEzfuuVGc89YQ/RfzVE+qMP5QSd1cVZngAQECdIsy8LsBHOY1CoGpdPxk3PSEANP76152ffCKkpEz59FNNej81wF89ISBMNbhSV8bnCWuDoJQq2j9UihByuQlhY4Uqnl7vburxuBcuudM6ITf42IajELG9HfrHUZgRz8NVpQNrfPSEzmPHml58kRDiKC8Pf/31YW9x43iBXPYaWFUUQsba5+eXnlAhRHF3GoTAO46vRMoElQVdoyIIhoSEaEII0vIwGRUZxnZbgq5DxJniPT3nAABhhjdrsq1s771vKT3ILp0CFDDDNH/zRWdry0A3KSFE4GSGUeEmbRz0hHXr1lFCvDNmWl56qTk9frCe0NXXnRYTqXUdxsVGMXbjmOqQBQDicNStXUtkeWBCWceHH13g6y/pCQnJuWYyzxsoUEovO+k3EBBAbs5kl70BALzTF1Qx6xuL1TI5I02WXCzDaJeP5KQEkzPGaz9gLwhhPizN3V2FGYwQw4Wp/9I4qaWl9okNeY8twSxLPTLwfNOLz0bct5Cdke7VEyqEFOTnIcxA/+SqgH2ZCwszCwtVC30EbVu32vfvH9DESp2d5x99YIieMMyamjJdURQURFJGJT09xV570qsH8tPLWPSEioIQxMZGpiaq89oWyXnB3dOMEJYVZXJ6alSSyq9NvSxu2xnJ04cQoyjKrIIcQdBgPAqgr72CUIoQIITmFgY+49kQnmFOmOvuKA+buBxr0F0htbUD4zYsmEZFD6GQkBQ7MyMjOSPLumTeYD0hIYRSlJqaFJGm/uMO1MIvPaEkAQChZE7hNG1uhKmz7YR3SrbBwM/6mV8PbRibnpBS4FjWZFRnb6CKSBURMTyl1ChwBj7Ydx76g+LpBaoAYiilFouAtUmF4ukZ+N9qDbw/EzGCOWGOKX4WQtq8FRBhxmpmoq3UI1MAgyAYrSZRlvkRekJKqWBghSs8xexqYEx6wmCS4puB23iMkMnslxxvjHpCoJgRsCEiqDAHfPNWzFsAKFCC+DDEqC8gHAlrikPYuydRbIjRZOYSAHfp/g0xQmyQ1rSqQAAAKrV3ec5dABYDxnK7XTzffoWuGIo4C9JAX6YWY9ATAgSflCvBmuMvFj1iGMEvgY6/ekKWZTBGQAhmTZwpUZ1wDVEMH0GJQonMGmMwPx6Pr+WtaQgxAJQQibekaqQT58PS+58MQPgwbV+6GAyG1BRDYoa7rBoLBsSxckM77emzFE4ZrCdkWQYhRInM8hGMITLUIV8Rf/SEDMMAACWyZklBfNhEQiQACggZwib61Yb6qSeU5BsXFc4sKDAl3cQIqmVC8dh7674Ahrem3MiMSxECJZLzQk/tZ0LMNGPMTKyBft/rROyucTTusaYu5sPSr+YpIL379leuWh7/mzXchNi2h94oTgtvnZMxJPWyfMctCzOzZ5iSrmd4lZ/6oy6j6AmJEhcbtXrlYlPCtULkVMRoMiWAKqKro8LZXhaWtoy3JPvzYFs00N/V8tpr5554AgAsWVnZRw4Tnh92Kmc5hmVY9Z+WSwkAGudxVUoVLa/x+r0QxduveJVT+/DPm//vHxBARNF1md9+TQgZlnqOZxmGufrnV3kaGytycjw9PQAwdcdHpmXLYGhPPsKI57nxSP1YdjB/9YQaEooHB41DGgDgJ1GBAJDywvPe6Z2J69fxGozgjRu+9YTjyZh2MDQ+o3M6OjpX4mq/wNDR+btHL0IdnRCjF6GOTojRi1BHJ8ToRaijE2L0ItTRCTF6EerohBi9CHV0QoxehDo6IUYvQh2dEKMXoY5OiNGLUEcnxOhFqKMTYvQi1NEJMXoR6uiEGL0IdXRCjF6EOjohRi9CHZ0Qoxehjk6I0YtQRyfE6EWooxNi9CLU0QkxehHq6IQYvQh1dEKMXoQ6OiFGL0IdnRCjF6GOTojxtwi7u7tffvnl8vJyTaMBgHfeeaeurk5TF9XV1Zs2bWpvb9fUywcffPDGG294Rrx9VXV27Nhht9u1s19aWvrkk0/u2rVLOxcAcObMmZdeeqmzs1M7F52dnZs3b37yySc13Y3tdvvmzZu3bdvmfxN/i7C4uDg2NrakpERRlIBi84uKioqPP/64o6NDOxcAUFZWlpCQsH//fu1cNDY2ut1uk8l04sQJ7bwAQFdX15YtWzQt9aampuuvvz4/P187F7IsHzlyJC0tTdOkWCyW5cuXx8bGiiPe6asiP/zwQ1ZWVmdnZ319vZ9N/C3C+vr6FStWiKLodrsDDW90cnJy1qxZQwgZfdVAIYTk5eUVFhY6HA7tvMTFxa1ataq7u5tltX09aGlp6aRJkzR9tZYsy1arNSoqSjsXLpervb19+vTpaWlp2nkxGAw5OTkWiyU3N1c7L0aj0eVy9fb2Ir9fuelvEXo8HpPJRCnVtEIYhjEajdrZBwCMcW5u7pkzZ6ZMmaKdF57nu7u7z549m5ycrJ0Xt9tts9ny8/P9z3cAtLa2fvDBBzt37tTOBaX01KlT27Zt0/QcBQAtLS2CIJhMJu1cJCcn79y5s6mpKTY21s8m/hYhy7KiKCKENM03AIzD+xJtNltDQ8P06dO1c9Hc3Gy1WleuXHn27FntvNTU1OzatWv37t2aXvTOnz//5Zdfrq2t1S41iqLk5eWtX7++tLRUIxdeamtrk5KSNHVRXl7+/PPPL1iwoLGx0c8m/hZhXFxcSUkJy7KCoMlL3gcghGhdh19++WVubq6mF4ptbW179+7t6urS1Et6evrGjRtzc3MTExO181JVVdXY2Gg0GrU7/vI8Hx0d3dzcbLFYNHLhpaqqStMrIAAwGo1tbW02mw1jf4vL3/WKioo++uij7OxsrW9yIiIizGazdvYJIeXl5X/6058OHDignZfc3NyjR49WV1fPmDFDOy9mszk7O3vWrFn+X/kEQEpKyqZNm2bPnq2dC7PZHBMTs2XLlkWLFmnnRZZlg8Gg6Q0CAFx33XU7duxwuVzp6el+NtFfl62jE2L0wXodnRCjF6GOToj5f7Xw4jOeIrepAAAAAElFTkSuQmCC", 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", 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LsxJKpPPN1Xe+Pn7nTnPe8KRMroqK49One/SOHiutAOeenP3gsw9jhZYcLz99uuL2W280mSyK7NZZ0yxJ/t7FDeS61hM6W0vttbs8/SWOYw8cOOLkx9+95Gl/2hxMTygpAEAQmjR9cpheT1nGWXSq7pfrJxw8cG1KmQbTE1IglFiiInNysojdxYSZaxa8akydnvrpJ4H0QCU9IXFeXJYhy7IiugEhLi5cmDTKUVo63CR019W5bbaeQ5MChAE0uy+uAaGUTs+dEhoa5pZkxHBSdz0RO7Cu/8IdP7nu9IS90VmSnfwRItkRZhwOZ2HxmV/8+td+tjmInpC6Lk6mSZKsSDLICp85mokSxHNV12YSDqIn9KzIoIS6u12AgHQ7Qx6Y2/lhYYA9UElPSPrNNVOKDQIbbvbh3n2ggJAA0F5dZ7ckkcuTRQ5KAi+Zue70hL3BnElnTXM0HmQw29bWnpo5Iz4xxe9Gr6onpGLfGW1KGYuBtRiROkNZ/jOInnDgsig2PhzrAn9LrJqesM/mSLZ1iecaKRn2dOpVBIRXmSzSWREb+PW115eesB+ys9nVcgxhlhD64+5Dxfu2nSot8rPNIfSEvcFYrre5L7QBjNTapmEyuJ6wDwi5jp4lTucI+BAIPSHLeP44jsUYI5aRL7SRRpfl5nnD9U+fkWFITe0rTosRxsb3hJxhGJZlEAJKZFYfhbnAr6u+jvSEA5G664jiRAh3dzsFQVh0z+wzJw/42eZgesJeoUcYIR0nltcw2GyYNNFPoyoxmJ6QvfwHAEjHdX97yHrPvQH2QDU94cXfJTucN988LTMiouoX78Ytey7uN77oCW1//WvZggWeuxkMsHteGjs785/uvx0hVHq8Ytvf9hoM+sULbx6VPNkQm4c5VZaAXC96wv5tEqnj7Beys4Xj+Z27ikS3dOu83PX/b8fSl//LbLH60/LV9YQ9oXfcd98tsd1yzTP/kfJv68IX+zgeOwJ6wjNLljR/9hkGQABdJt2+JVORR08IAABEliNDjEsevqvptU/cpzsmFB3A+gBPUPmmJ4TLz0tcu3YvwF6Ao2lpYke70+lwOi7/HX7ysd0ARQDbzXzh7i99fipj+YIFewD2AFQsXiyKrs3rn2sufb/95Pq/b3z2+NH9TodDkd2UEp/bHxJnU+Nuo6EQoAjgk3tudBBVHnba/OMPfwcoBChg0KYXH/O/QWfLiaaj77YcW1dX/N7rS+dUFvzvzrIPP/v9Q19vWud/4yUPLdkLUATwVbRx/76/9Qt9wR237QE4APBFnOnkqUO+mVC6ug6PHl0AsA+g4v77r7iN5GxVZKcfv4OK588ftFj2AewDaN3yudPl7P1DGosP7vA8ERTgL4/fo9JBdv6/PvKEfreO/XrdG95U8VZPWDM5IeGuXCPHwXS/9IQJ77yDrVYEEP/iizyvw71WQvGCIAT6zDSQ60hP2BvZ1QSAGQbX1zeljI4JCwuR3FLu1Im7Dp6jQJF/qz8G1xPW3JSaqevkMeOYea3rCflRo8Z88EHbrl1CTEzYgv7LGBoiLF33TknEehxvrZuScf3pCdlQU/TqAOgJheTklA8/9Pzfv8+ssrboIteJnrA37q4al+0ExqwkSd/v3H/Hwicp7aRUMpnMrbU/FO3ePn12vj/tD64n5K8fPSEAhD/0UPhDV16gRF2S9ZFbND3hNcD1oifshexqpUTGrGBv70jOzJuct7C7YZ+7qZjjdfNvnn6u/qzfvv530RMOjqYn1PANooiulhKEWIzRrt0HzKFxAMAIYQBAFBoWHlZRurOxvibYbg6GpiccHC0Jr2kUsc1eu0txdyHMdHc7utzmW/IfBgAhNJ23JBEi6/XCAwvm1J3+Dug1On0Hw9UTChH/0/SEWhJe00j2WpftJMIswzCnT58ZlTJR5xk1QZgzJlCqEEIFQZ8cx9Fr+Orh0RP2no00TU0TRkWyGPWbwfNfT3g94q2eUGPkoZS42sowwwMAAuoQYfLMy49y0oWmOpuPUEWkCEluu9hWLoT7+lheX9W6XjJiekIAqH3lldYvvxQSEtK/+kqV0U8V8FZPCAirca5VRuYJa72glCrqP1SKEHKlBWHDhSruLs9h6na75sy/3zwqq6cMM/reGypyt49GFCI2N8OleRRmwNM4AzKANTJ6QseRI3VvvkkIsZeUhLz7br+3uHG8QK54DxxQFEKGO+bnlZ5QIURxteoE3weOr0bCqAALuoZEEHQxMeGEEKTmaTLMamHbTX7nIeIM0e7OcwCAMMMb++4rhBh9hGw/D8AgzLOCj+t+bJ98ajpUyN6eDhQww9T/8G1rY0PPMCkhROBkhglAJ20E9IRVy5ZRQjwrZhreeqs+Obq3ntDZ3Z4UYVU7D6Miw5gO/bDykAXP05GXLiWy3LOgrGXT5xf46st6QkIyx4/leR0FSukVF/36AgLIyhzr7KgBAM/yhYA0Ozgms2lsSpIsOVmGUS8e8XExBkeEp32frSCEeUuSq70MMxghhrP0eWkcwixvSpA6KxFGwAi8OdEHE1JDQ+Xzz014Zj5mWeqWgefr3nw59OE57KRkj55QISRnygSEGbi0uMq33wIAxtzc1Nxcn6sPSdP69R179/ZoYqXW1vNPP9ZHT2gxJyZkK4qC/AjKkCQnJ3RUHvfogby0Mhw9oaIgBJGR1sTYwLy2RXJccHXWI4RlRRmbnBgWF+DXpl4Rl+2U5O5GiFEUZWpOpiCoMB8F0N1cSihFCBBCN+b6vuJZF5JijLnR1VJiGZ2PBwxXCGEZRLKL7eUhY/IR8uWNZVJTMzAu3eyJVHQTCjFxkZNTUuJT0szzZ/TWExJCKEWJiXGhSYF/3EGg8EpPKEkAQCiZnjtRnY4wdTQd8yzJ1un4qTd49dCG4ekJKQWOZQ36wAxeUUWkiogYnlKqFzgdH/C3QlwBxd0FVAHEUEpNJgGrEwrF3dnzv9ns+1o8xAjGmOmG6KlXzDHM6k3xs4xxM3zLQAAAhBmzkQk3U7dMAXSCoDcbRFnmB+gJKaWCjhV0IxEj3xiWntCfoAxOTzceI2QweiXHG6aeEChmBKwL9cvNHtu8GfMmAAqUIN6C/HgTiPewhiiEPUcSxboIVVYuAXCX+2+IESL9bG3wHPM9AwEAqNTc5j53AVgMGMvNHeL55qsMxVDEmZAK+rJAMQw9IYD/QbkarDH6YtIjhvGuo+6tnpBlGYwREIJZA2eIDYy7ujCGD6VEoURm9RGYH4nH1/LmJIQYAEqIxJsSVdKJ85bkS08GILxF3Zcu+oMuMUEXm+IqLseCDnGsXNNMO7tNuem99YQsyyCEKJFZPpTR+SWbUhVv9IQMwwAAJbJqQUG8ZTQhEgAFhHSW0V7VoV7qCSX5lnm5k3NyDHG3MULAIqG4O7qqvgWGNyfcwoxIEgIlkuNCZ+XXQsREfcRkrIJ+32NEbK+w1+4yJ97KW5Kv5SUgXXv2nl6UH/3GI9yoyKYn3itICmmcntIn9LJ8311zUjMmGeLmMnyAn/oTWIbQExIlKjJs8cJbDTE3CdZxiFFlSQBVRGdLqaO52JJ0J2+K9+bBtqhnvKvhnXc87yc0paVlHOzzfkIPLMewDBv4p+VSAoBGeF6VUsW/uzjvrBDFM654jVP55C/r//M/EEBo3szUnTsIIf1Cz/EswzDX/voqd21taWamu7MTAMZt+dxw553QdyQfYcTz3EiEfjgHmLd6QhUJxoODRiAMAHBdZCAAJLz+mmd5Z+zyZbwKM3gjxuB6wpFkWAcYGpnZOQ0Njatxrd9gaGj8t0dLQg2NIKMloYZGkNGSUEMjyGhJqKERZLQk1NAIMloSamgEGS0JNTSCjJaEGhpBRktCDY0goyWhhkaQ0ZJQQyPIaEmooRFktCTU0AgyWhJqaAQZLQk1NIKMloQaGkFGS0INjSCjJaGGRpDRklBDI8hoSaihEWS0JNTQCDJaEmpoBBktCTU0goyWhBoaQUZLQg2NIKMloYZGkPE2Cdvb21evXl1SUqKqNwDw0UcfVVVVqWqivLx81apVzc3NqlrZsGHDe++95x7w9tWAs2XLlo6ODvXaP3To0IoVK7Zv366eCQA4derUW2+91draqp6J1tbWNWvWrFixQtXDuKOjY82aNRs3bvS+irdJWFBQEBkZWVRUpCiKT755RWlp6RdffNHS0qKeCQAoLi6OiYnZu3eveiZqa2tdLpfBYDh27Jh6VgCgra1t3bp1qqZ6XV3d3Llzp0yZop4JWZYPHjyYlJSkalBMJlN+fn5kZKQ44J2+AeSnn35KS0trbW2trq72soq3SVhdXb1gwQJRFF0ul6/uDU1mZuYjjzxCCBl6U18hhEyYMCE3N9dut6tnJSoqatGiRe3t7Syr7utBDx06NGbMGFVfrSXLstlsDgsLU8+E0+lsbm7Ozs5OSkpSz4pOp8vMzDSZTFlZWepZ0ev1Tqezq6sLef3KTW+T0O12GwwGSqmqGcIwjF6vV699AMAYZ2VlnTp1Kj09XT0rPM+3t7efOXMmPj5ePSsul8tms02ZMsX7ePtAY2Pjhg0btm7dqp4JSumJEyc2btyo6jUKABoaGgRBMBgM6pmIj4/funVrXV1dZGSkl1W8TUKWZUVRRAipGm8AGIH3JdpstpqamuzsbPVM1NfXm83mhQsXnjlzRj0rFRUV27dv/+abb1S96Z01a9bq1asrKyvVC42iKBMmTFi+fPmhQ4dUMuGhsrIyLi5OVRMlJSWvvfba7Nmza2trvazibRJGRUUVFRWxLCsIqrzkvQdCiNp5+N1332VlZal6o9jU1LR79+62tjZVrSQnJ69cuTIrKys2NlY9K2VlZbW1tXq9Xr3zL8/z4eHh9fX1JpNJJRMeysrKVL0DAgC9Xt/U1GSz2TD2Nrm83S4vL+/zzz/PyMhQu5MTGhpqNBrVa58QUlJS8qc//Wnfvn3qWcnKyjp8+HB5efmkSZPUs2I0GjMyMqZOner9nY8PJCQkrFq1atq0aeqZMBqNERER69atmzdvnnpWZFnW6XSqdhAAYObMmVu2bHE6ncnJyV5W0V6XraERZLTJeg2NIKMloYZGkPn/OBm9OunmZMUAAAAASUVORK5CYII=", "info": { "equation": "3+11*8=91", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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LsxJKpPPN1Xe+Pn7nTnPe8KRMroqK49One/SOHiutAOeenP3gsw9jhZYcLz99uuL2W280mSyK7NZZ0yxJ/t7FDeS61hM6W0vttbs8/SWOYw8cOOLkx9+95Gl/2hxMTygpAEAQmjR9cpheT1nGWXSq7pfrJxw8cG1KmQbTE1IglFiiInNysojdxYSZaxa8akydnvrpJ4H0QCU9IXFeXJYhy7IiugEhLi5cmDTKUVo63CR019W5bbaeQ5MChAE0uy+uAaGUTs+dEhoa5pZkxHBSdz0RO7Cu/8IdP7nu9IS90VmSnfwRItkRZhwOZ2HxmV/8+td+tjmInpC6Lk6mSZKsSDLICp85mokSxHNV12YSDqIn9KzIoIS6u12AgHQ7Qx6Y2/lhYYA9UElPSPrNNVOKDQIbbvbh3n2ggJAA0F5dZ7ckkcuTRQ5KAi+Zue70hL3BnElnTXM0HmQw29bWnpo5Iz4xxe9Gr6onpGLfGW1KGYuBtRiROkNZ/jOInnDgsig2PhzrAn9LrJqesM/mSLZ1iecaKRn2dOpVBIRXmSzSWREb+PW115eesB+ys9nVcgxhlhD64+5Dxfu2nSot8rPNIfSEvcFYrre5L7QBjNTapmEyuJ6wDwi5jp4lTucI+BAIPSHLeP44jsUYI5aRL7SRRpfl5nnD9U+fkWFITe0rTosRxsb3hJxhGJZlEAJKZFYfhbnAr6u+jvSEA5G664jiRAh3dzsFQVh0z+wzJw/42eZgesJeoUcYIR0nltcw2GyYNNFPoyoxmJ6QvfwHAEjHdX97yHrPvQH2QDU94cXfJTucN988LTMiouoX78Ytey7uN77oCW1//WvZggWeuxkMsHteGjs785/uvx0hVHq8Ytvf9hoM+sULbx6VPNkQm4c5VZaAXC96wv5tEqnj7Beys4Xj+Z27ikS3dOu83PX/b8fSl//LbLH60/LV9YQ9oXfcd98tsd1yzTP/kfJv68IX+zgeOwJ6wjNLljR/9hkGQABdJt2+JVORR08IAABEliNDjEsevqvptU/cpzsmFB3A+gBPUPmmJ4TLz0tcu3YvwF6Ao2lpYke70+lwOi7/HX7ysd0ARQDbzXzh7i99fipj+YIFewD2AFQsXiyKrs3rn2sufb/95Pq/b3z2+NH9TodDkd2UEp/bHxJnU+Nuo6EQoAjgk3tudBBVHnba/OMPfwcoBChg0KYXH/O/QWfLiaaj77YcW1dX/N7rS+dUFvzvzrIPP/v9Q19vWud/4yUPLdkLUATwVbRx/76/9Qt9wR237QE4APBFnOnkqUO+mVC6ug6PHl0AsA+g4v77r7iN5GxVZKcfv4OK588ftFj2AewDaN3yudPl7P1DGosP7vA8ERTgL4/fo9JBdv6/PvKEfreO/XrdG95U8VZPWDM5IeGuXCPHwXS/9IQJ77yDrVYEEP/iizyvw71WQvGCIAT6zDSQ60hP2BvZ1QSAGQbX1zeljI4JCwuR3FLu1Im7Dp6jQJF/qz8G1xPW3JSaqevkMeOYea3rCflRo8Z88EHbrl1CTEzYgv7LGBoiLF33TknEehxvrZuScf3pCdlQU/TqAOgJheTklA8/9Pzfv8+ssrboIteJnrA37q4al+0ExqwkSd/v3H/Hwicp7aRUMpnMrbU/FO3ePn12vj/tD64n5K8fPSEAhD/0UPhDV16gRF2S9ZFbND3hNcD1oifshexqpUTGrGBv70jOzJuct7C7YZ+7qZjjdfNvnn6u/qzfvv530RMOjqYn1PANooiulhKEWIzRrt0HzKFxAMAIYQBAFBoWHlZRurOxvibYbg6GpiccHC0Jr2kUsc1eu0txdyHMdHc7utzmW/IfBgAhNJ23JBEi6/XCAwvm1J3+Dug1On0Hw9UTChH/0/SEWhJe00j2WpftJMIswzCnT58ZlTJR5xk1QZgzJlCqEEIFQZ8cx9Fr+Orh0RP2no00TU0TRkWyGPWbwfNfT3g94q2eUGPkoZS42sowwwMAAuoQYfLMy49y0oWmOpuPUEWkCEluu9hWLoT7+lheX9W6XjJiekIAqH3lldYvvxQSEtK/+kqV0U8V8FZPCAirca5VRuYJa72glCrqP1SKEHKlBWHDhSruLs9h6na75sy/3zwqq6cMM/reGypyt49GFCI2N8OleRRmwNM4AzKANTJ6QseRI3VvvkkIsZeUhLz7br+3uHG8QK54DxxQFEKGO+bnlZ5QIURxteoE3weOr0bCqAALuoZEEHQxMeGEEKTmaTLMamHbTX7nIeIM0e7OcwCAMMMb++4rhBh9hGw/D8AgzLOCj+t+bJ98ajpUyN6eDhQww9T/8G1rY0PPMCkhROBkhglAJ20E9IRVy5ZRQjwrZhreeqs+Obq3ntDZ3Z4UYVU7D6Miw5gO/bDykAXP05GXLiWy3LOgrGXT5xf46st6QkIyx4/leR0FSukVF/36AgLIyhzr7KgBAM/yhYA0Ozgms2lsSpIsOVmGUS8e8XExBkeEp32frSCEeUuSq70MMxghhrP0eWkcwixvSpA6KxFGwAi8OdEHE1JDQ+Xzz014Zj5mWeqWgefr3nw59OE57KRkj55QISRnygSEGbi0uMq33wIAxtzc1Nxcn6sPSdP69R179/ZoYqXW1vNPP9ZHT2gxJyZkK4qC/AjKkCQnJ3RUHvfogby0Mhw9oaIgBJGR1sTYwLy2RXJccHXWI4RlRRmbnBgWF+DXpl4Rl+2U5O5GiFEUZWpOpiCoMB8F0N1cSihFCBBCN+b6vuJZF5JijLnR1VJiGZ2PBwxXCGEZRLKL7eUhY/IR8uWNZVJTMzAu3eyJVHQTCjFxkZNTUuJT0szzZ/TWExJCKEWJiXGhSYF/3EGg8EpPKEkAQCiZnjtRnY4wdTQd8yzJ1un4qTd49dCG4ekJKQWOZQ36wAxeUUWkiogYnlKqFzgdH/C3QlwBxd0FVAHEUEpNJgGrEwrF3dnzv9ns+1o8xAjGmOmG6KlXzDHM6k3xs4xxM3zLQAAAhBmzkQk3U7dMAXSCoDcbRFnmB+gJKaWCjhV0IxEj3xiWntCfoAxOTzceI2QweiXHG6aeEChmBKwL9cvNHtu8GfMmAAqUIN6C/HgTiPewhiiEPUcSxboIVVYuAXCX+2+IESL9bG3wHPM9AwEAqNTc5j53AVgMGMvNHeL55qsMxVDEmZAK+rJAMQw9IYD/QbkarDH6YtIjhvGuo+6tnpBlGYwREIJZA2eIDYy7ujCGD6VEoURm9RGYH4nH1/LmJIQYAEqIxJsSVdKJ85bkS08GILxF3Zcu+oMuMUEXm+IqLseCDnGsXNNMO7tNuem99YQsyyCEKJFZPpTR+SWbUhVv9IQMwwAAJbJqQUG8ZTQhEgAFhHSW0V7VoV7qCSX5lnm5k3NyDHG3MULAIqG4O7qqvgWGNyfcwoxIEgIlkuNCZ+XXQsREfcRkrIJ+32NEbK+w1+4yJ97KW5Kv5SUgXXv2nl6UH/3GI9yoyKYn3itICmmcntIn9LJ8311zUjMmGeLmMnyAn/oTWIbQExIlKjJs8cJbDTE3CdZxiFFlSQBVRGdLqaO52JJ0J2+K9+bBtqhnvKvhnXc87yc0paVlHOzzfkIPLMewDBv4p+VSAoBGeF6VUsW/uzjvrBDFM654jVP55C/r//M/EEBo3szUnTsIIf1Cz/EswzDX/voqd21taWamu7MTAMZt+dxw553QdyQfYcTz3EiEfjgHmLd6QhUJxoODRiAMAHBdZCAAJLz+mmd5Z+zyZbwKM3gjxuB6wpFkWAcYGpnZOQ0Njatxrd9gaGj8t0dLQg2NIKMloYZGkNGSUEMjyGhJqKERZLQk1NAIMloSamgEGS0JNTSCjJaEGhpBRktCDY0goyWhhkaQ0ZJQQyPIaEmooRFktCTU0AgyWhJqaAQZLQk1NIKMloQaGkFGS0INjSCjJaGGRpDRklBDI8hoSaihEWS0JNTQCDJaEmpoBBktCTU0goyWhBoaQUZLQg2NIKMloYZGkPE2Cdvb21evXl1SUqKqNwDw0UcfVVVVqWqivLx81apVzc3NqlrZsGHDe++95x7w9tWAs2XLlo6ODvXaP3To0IoVK7Zv366eCQA4derUW2+91draqp6J1tbWNWvWrFixQtXDuKOjY82aNRs3bvS+irdJWFBQEBkZWVRUpCiKT755RWlp6RdffNHS0qKeCQAoLi6OiYnZu3eveiZqa2tdLpfBYDh27Jh6VgCgra1t3bp1qqZ6XV3d3Llzp0yZop4JWZYPHjyYlJSkalBMJlN+fn5kZKQ44J2+AeSnn35KS0trbW2trq72soq3SVhdXb1gwQJRFF0ul6/uDU1mZuYjjzxCCBl6U18hhEyYMCE3N9dut6tnJSoqatGiRe3t7Syr7utBDx06NGbMGFVfrSXLstlsDgsLU8+E0+lsbm7Ozs5OSkpSz4pOp8vMzDSZTFlZWepZ0ev1Tqezq6sLef3KTW+T0O12GwwGSqmqGcIwjF6vV699AMAYZ2VlnTp1Kj09XT0rPM+3t7efOXMmPj5ePSsul8tms02ZMsX7ePtAY2Pjhg0btm7dqp4JSumJEyc2btyo6jUKABoaGgRBMBgM6pmIj4/funVrXV1dZGSkl1W8TUKWZUVRRAipGm8AGIH3JdpstpqamuzsbPVM1NfXm83mhQsXnjlzRj0rFRUV27dv/+abb1S96Z01a9bq1asrKyvVC42iKBMmTFi+fPmhQ4dUMuGhsrIyLi5OVRMlJSWvvfba7Nmza2trvazibRJGRUUVFRWxLCsIqrzkvQdCiNp5+N1332VlZal6o9jU1LR79+62tjZVrSQnJ69cuTIrKys2NlY9K2VlZbW1tXq9Xr3zL8/z4eHh9fX1JpNJJRMeysrKVL0DAgC9Xt/U1GSz2TD2Nrm83S4vL+/zzz/PyMhQu5MTGhpqNBrVa58QUlJS8qc//Wnfvn3qWcnKyjp8+HB5efmkSZPUs2I0GjMyMqZOner9nY8PJCQkrFq1atq0aeq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"info": { "equation": "3+11*8=91", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
6f07e4a03dc31bf29f02528b516eebd8b7ba781e1154c6bf4572dda9db1ee123
31
2,652,062,880
train
2025-09-16T02:27:50.133906
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 2652062880, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'6', 1:'6', 2:'+', 3:'1', 4:'7', 5:'=', 6:'5', 7:'1']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [2, 7, 1, 1])</answer>", "action": "('move', [2, 7, 1, 1])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "68-17=51", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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"info": { "equation": "68-17=51", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
3642b749a6dbf02beceb5c69d67f9f00fb238e48f7de245bedb9d00f8d6a07be
32
1,306,710,475
train
2025-09-16T02:27:50.151095
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 1306710475, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'1', 1:'1', 2:'*', 3:'1', 4:'2', 5:'=', 6:'2', 7:'8', 8:'4']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [7, 6, 1, 0])</answer>", "action": "('move', [7, 6, 1, 0])", "reward": 0, "image": 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", 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", "info": { "equation": "17*12=204", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "17*12=204", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
5e988263330a48349242ec927108aa48f112bbafc0162979a7d45582ecc333c5
33
2,627,030,329
train
2025-09-16T02:27:50.166467
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 2627030329, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'5', 1:'*', 2:'7', 3:'2', 4:'=', 5:'5', 6:'0']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [2, 0, 5, 4])</answer>", "action": "('move', [2, 0, 5, 4])", "reward": 0, "image": 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eTlE0IYTj2M937R986yMpaYpNlqpI4HpCwjBDR2VaTSbZ5aFCTa79+efu/WO/1a9HP/Z4F20oWrDw8r/eTz24RjbrAWOOYz/Z8ZXlv/89YdtHlkmTvGkku/3MpEk+Mzo9pyeUXTwghB0etl9s6K0Z9u2fdVMQmqKz6ku3eyt7hJDHw2/a/Nmdi/67O/IKEL++6kk9YfMXRBAlbx0qitKI4emRvZVZu6w6ndUTym4eEMKNbv3gvpas/vZPd3Y9CO07dtp+PQ2HGkGUAEAUpdGjh1VQHziOHmsJQr9zqj2uJySEDjEyvUJAUGbZZHtYc299WIr7Sj6iGJqmL5RfjOs79OYJt3dTdoHQka96TE/YHkKI2azXKTdlry5B6gkxoa0mJtyMiAKrdihWxyVEIY4hogQABBOrLfSKgYPWCwi9c6rtZnR6Vk9IUdKlWr7wEpauKfTqAp7a770RSFGU3d7w4Ud7K84d3/bPN7opu0DoyFc9qSds9zWmdRGI9l3W+CMlSD0hQ4kXavhzl4mogKgSi7zrwA/Y6fEOdiCWdp0sERs9RGp1I641p9rNekKWZWiaBgDKwIrnq53HS6IffaSzPzJA3Fe+93qBYejSsor43tEPPrDgzPFOL89TEL++6lE9Yas/73gVxgJnjqc45ceoVaFTekKWZSiaAgDKoBPOlntOl0c90qHgI3CiH3nY/n+HiUcAhgYAymJw7DjM6K1ht93WksY7p9pedtglPeHpSZNaSgAFUJZg++72TD96QqdrcEb/yTnZV/65p+adXVH3/jLhxZc6/zOvj8de4LiwB4AghERRXvPWxhk5Y0cNT1/95nsDR911290PIKWHZAPER3upuJ7wwsqVLbI5CuBYZmzl5AyK961cJVHKmTp6UEoCFzVaZ0mkFJ2mU11P+MPs2S3dLRqgOLnX9zMH+9ETOpzDh6eNm5h1+W87r2zaG7f0sd7PPtt1A4gkFc1f0Hjy24in7zJlp1c9+feG/fkDN28LnTKldTK5sfH02LGukyebzgpKT3g1CAGg8o03Sh57zHsty8CBAw8dlDmuvYLrxD3zhG2f6AEQwKVYi+mdv06auiCoX3otiMxfOf0PABkA6fXc5q273E7PPQtnYEzq6urfeHvjij9+HB2nwCt9gqPgd8+2aC/dNsul3z268KHfK3XxI1MnCrv2UAAMwPkka9jav90yeobfnjnLMjRNKSulg+Ya2ZshAUh6880e1hMCQMULL5SuXOmdgbEOG5byzdcSQPvSeHTWdLz7Sx0AAjgfHxK1cWN29m3+rtdpJLfr67hYXV09AmABjg2Py9n+bZ8oX51A4+nvj6SnX9UTzhiyeNshQ2fuSJuaO/rRR6XqaqGqCgPEPvooawnx29PPH5EwTBxpYBiaQtLMzEahWzqEouMiENnb93U6PRfLK+6ZPwNjjDGJjLTdkpV54vCXOXeoFoTttJdK6gmPZSXcbMjiaIplGNe0QYBBr++5/t4NoieMXbFCqquT6uoIQNxTTzE6vd9mRv7NfW8xuhmK5ljaPS1Ndiv2lh2epvJuGzzViSVMjLG2kEE22eGCdiK32hC9knpCAOj9/PPXP8eoi3rxXqPJTNN03Yl86IZ1G5KrurE8F4AAIITQv7Zst/UZEZk81nP5GCBGFKWMtAF/W/9mXHzy4GFjFc89ELpVT8hazdEvL2I5Pcsylw4e76aVMX65cfSEABD/6qvXTcNazVEv33fVV/5GSoKEl4zpiTE9rycMCEKww4MJjWja7+sGuo7kqcWiE9E6hJAgeEQU8utHn9fpDbK7WmgsxwAJfWJnTssq+P6YWkEI3aonxAQ7PJgjmGW6ycMd5nwj6QkDovt89Z+oJ2xGFhqcl75GNOcdd/lg605jSLRObwAAxtALiAwAoiTFx/c59c3Wwh9OqGzuTwxNT9jj3HBByNuLGss+x7IbAFEUVX25psrO3LesaczDFH0zF5oERJYxttnCHn94YfGxf8m8XVWTf1poesIe54YLQkfFV5KrEiEGABBC+/YfHpmdYzQ1v8cOUbqwFIJlAPBuaJM1tI/oqlTR4J8YHc19efWEDPiZq2xK0g16wv8Q2vYJCSm47Ta+vJwAJLz0knXatB62xn35BJE8QDVZhWVRIJaxU+5unUZnSfCY40RnJaJoAJAwcl8+rgtNQtRP4Q3wTfhrEPZQzjeMnhBk+czUqUJNDQFI+t//tYzt6c5/gHrCrtMmCM899NCVTz+lAAhA0YIFGSdP+p1zxARIu9fvKoLM1xMsIbopnCRZXPLEq5y5zWv2Ea0DxLTS7yCZtwPpufHDZtvkbnICdjr5mhpASU2fCbnGqlQsOrHkYgwR/nbHCJIbRE9YfP/9tbm53tJYOG9exsmTbJSfl+BhTLrpRrTXE9L+lIosp5eu11C/Nm30hBV//rO3bYEARLu9ZO7cht8u99ETyhiHGIhOp+RIdAusOc5jPwMEAyAgmDVEMjo/S7E4c5zovNj0gWDWkgCou1aQd0Rin1gT7emO21/2wNIorowxjvNOBiCWq/1i9z7ew4ttt4FBaOTwNOI4yzeUGaNG6q0DGON1X9QYKDeCnrDlvXsIgK+sLJ47t+7ph3z0hBjjsBCW7YZtcNrrCSmEzn/wfkFqXxCuDkcRQtzO+sSEWL8d6QBpKrv1ubmlTzzRuiqjABoOHy5Zcn/7/QmHDU3ndDrv5BUhBCv3FNJZ+zsvfYOFRqAYjAWDOZ5i/QShISLNWXXQu1ody4IuLAVRPR2EQzJT68trMCYIIUJAqam8yjWrL256b/T65RRFEZABAHS6itWvuvf8n27x5LZ6QmiMvKjTGynG5Ko6jAhRMAgBwDpzplWlXdbqtm8vW7my9ZITCsC+b19p+cn2+xOOGJ7JMMzV0qjQPGHp0gc9R4/e/NY9LXcWI+rco0+je0cax2aQ5jjEBFss5sEjh4pi05EgSkKwekIZe/Pr0zu6X1R6Z3O9BqFJs5yVB3l7kSV+is6S6DcNovRhAxY6Lnwh8XVh/e5StvAFAhYaGitPeheLEUIsZuOkCRmKXNn+6U5LVn/mpmTvbZYkOalvnG7YoBCCOtYTEooxeOoL9RHptE6pF+GrSaf1hDKGJl/1Nsb5f2N6Z2mvJ7z55iFV4dtioxK8+xO2pCSYCGLT3Kkky5Mn3azXd66d2CU9ISFExzFms5IrqmhdWEjCNNJHvtbDDVGM3mbtdzcBgpReNhkIBEuy0NDSd6VpyhKqzJgEYnVMuJm2mmS7CxAQQowmoznUItQ2XkNPCIBkoZHI3SUo62GC0xMSQvQ61mRSpqPkV09Yq2d5LF9b2GkNNVJU5/rnXd2fEDEmilO89kUBNS8RpUoEAgBi9KwppmU0CFEsbYhR5MpE5Plzl8ULNcBQAAA0JZTXeEorWxQbHZyGWWMUxSg6OKkeQe9PiFgLxYUpY4M/PaHU6L7O6iiCGUNcZ8eobqD9CX9EUIyRC+2LsQAAQDBQjD5MmVZQ1CPLPKfL+YJyyqADAMqg48+WC9+XRdw3WdMT9uT+hH70hDuPMgxjzRnetD+hz40AACBYFnThgzr79tGg9ITdsz/hjwssuQTHhcbzuzlLgjlmNK0PU2qSoOL5F8r/9Fr4gglhv55e95fPHO/vPdzLUDE5vYf1hOrSCT1h9+1POH++/dj+qJXzvXpC97c/5A6N8Qzt27w/YavEmNy7YEZYuNXcZypj6NXSTwmQYPSE0D37E/4YIVhCiFZ8Srdo3vyqLZu97x2NmjsvYeO7vvsTNtNNesIbgQD1hNA9+xMCAHa78wZnOooKvTci+fXXw5c9hDvokXI6lkIoOBuQz0xX+cqVLXpCY4YyI34anUVubCx7/HEgBBBKWL26O96t/KPg/JNPtugJu+dF79fBlZdXseYNCggXHR2Iyi84fINQQ0Ojh7nhFnBraPynoQWhhobKaEGooaEyWhBqaKiMFoQaGiqjBaGGhspoQaihoTJaEGpoqIwWhBoaKqMFoYaGymhBqKGhMloQamiojBaEGhoqowWhhobKaEGooaEyWhBqaKiMFoQaGiqjBaGGhspoQaihoTJaEGpoqIwWhBoaKqMFoYaGymhBqKGhMloQamiojBaEGhoqowWhhobKaEGooaEywQSh0+l89dVX161bp7g1neLvf//7zp07VTTgyy+/XLFiRXFxsVoGnD9//rnnnlu7di3P89dP3W3U19e//fbbSm0W31ny8/Offvrpl1566ezZs6oYAAB5eXmrVq36+uuvgzs9mCD85JNPwsPDHQ7Hvn37gsu16+zateuzzz777rvv1DKgsbFx//79o0eP3rhxoyoGEEJ27do1atSo+vr6AwcOqGKDl9zc3LVr1yKl94cLkOLi4kGDBt1xxx0xMcpsltxZGhoadu3alZ2dvXv3brvdHsQVggnCEydOzJ49e8yYMUeOHAnidEXIzs5++OGHvVu0qoIgCNOnT8/Kyqqrq1PLhrlz52ZmZlZVVel0ymzUHgRXrlwpKChIT09Xa3svp9Nps9lMJpNFpQ3kKioq6urqkpKSsrKyGCaAbd7bEUwhdrvdRqPRYDC43e4gTlcEg8FgMBhU3NfNZrMNGzZs+/bt2dnZqhiAEAoJCTl69Ojly5eTk5NVsQEAcnNzx44dGxsbq9aTsLq6+osvvlizZs3p06dVMUAUxby8vM2bNxcUFLAsG8QVgglCjuN4nhcEgeM6ty2wsqi+s2JxcXFBQcG0adNUyV2SpEOHDs2cOXPChAmnTp1SxQa73b5169YdO3bs3bv30KFDqtiQnZ393HPPzZgxY/fu3aoYgDEePHjwqlWrzp8/f/ny5SCuEMzTs1+/fkeOHKmsrExNTQ3idKUghMiy/72LewBJktavX5+Tk6NWTeTtE0ZFRdnt9oSEBFVsMBqNL7zwgsvlOn36dGJioio25OfnGwyGxsZGq9WqigFWqzUyMrK6uprjuOAKQzBPwrvuuuujjz4qLCzMyckJ4nSlMJlM0dHRauVeXFycn5+/YcOGDRs2qGIAy7Ljx49ftWoVAIwZM0YVGziOS05OzsjIGDFiRGRkpCo2DB8+/JVXXjl27NicOXNUMSAhISEmJubJJ5/MysoKzgnadtkaGiqjTdZraKiMFoQaGirz/6KTPg0GVlO5AAAAAElFTkSuQmCC", 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", "info": { "equation": "5*12=60", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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VFwyq6wnbQggxm/U65abs1SVEPSEmtM3ERJgRUWDVDsXquKQYxDFElACAYGKzh100cNByAaFvTrXNjE736gkpSjpfw586j6XLCr06gbfmB18EUhTlcNR/uGV3+ekjm//zRhcVFwxXg56wzdeY1kUi2n9Z4zVKiHpChhLPVvOnLxBRAVElFnn3dz9il9c32IFY2n2sWGzwEqnFhbjcnGoX6wlZlqFpGgAoAyuWVrmOFMc+9mhHf2SQeC7+4PMCw9AlZ8oTe8Q+9OCcn450eHmegqivJ2zx5xuvwljgzIkUp/wYtSp0SE/IsgxFUwBAGXTCyTLvibKYR9sVfARP7KOPOP7vAPEKwNAAQFkMzm0HGL0tfOrU5jS+OdW2ssNO6QlPTJjQXAMogDNJ9u/vyAygJ3S5B2X0uTUn++J/dlW/syPmvl8nvbS84z/zyngdBc6zuwAIQkgU5ZVvrZucM3rE0PQVb77Xf8TdU2c+iJQekg2SrtYTnl26tFk2RwEczoyvuDWD4v1vrpIo5UwcOaBfEhczUmdJphSdprtm9IRO19ChA8eMz7rwz+0X1+9OWPh4j+ee67wBRJIKZ89pOPZt5DN3m7LTK5/6V/3e/P4bNofddlvLZHJDw4nRo93HjjWeFZKe8FIQAkDFG28UP/64Ly9L//799++TOa6tguvovfcImz/RAyCA8/EW0zv/mDBxTki/9HIQmb944t8AMgDS67kNm3Z4XN57507GmNTW1r3x9rol//txbIICr/QJjYI/PdesJ/TYLef/9Njch/+sVOYHJ44XduyiABiA0hRb+Kp/3jxycsCeOcsyNE0pK6WDpjuyr0ACkPLmm92sJwSAE797vFlP2BBlrX7x6emB9ISHpt2Od36pA0AApYnWmHXrsrOnBsywo0ge99cJ8braOgTAAhwempCz9dueMf46gYYTPxxMT7+kJ5x8w/zN+w0duSKt7tyxjz0mVVUJlZUYIP6xx1iLNWBPP39Y0hBxuIFhaApJUzIbhC7pEIrOc0BkX9/X5fKeKyu/d/ZkjDHGJDrafnNW5tEDX+bcqVoQdqme8HBW0k2GLI6mWIZxTxoAGPT67uvvXVt6wvybet1s9DAUzbG0Z9JA2aPYW3Z4msqbOmiiC0uYGOPt1gF22emGGP9kNVa9knpCAOjxwgtXPseoi3npPqPJTNN07dF86IJ1G5K7qqEsF4AAIITQfzdutfccFp062nvhMCBGFKWMgX3/uebNhMTUQUNGK156MHSpnpC1mWNfnsdyepZlzu870kUrYwJyzekJWZs55uX7L/kq0EhJiPCSMT05rvv1hEFBCHZ6MaERTQd83UDnkbw1WHQhWocQEgSviKy/fewFnd4ge6qEhjIMkNQzfsqkrIIfDqsVhNClekJMsNOLOYJZpos83G7J15yesOt89XPUEzYhC/Wu818jmvONu3ywabvRGqvTGwCAMUQBkQFAlKTExJ7Hv9l06sejKpt7naHpCbudqy4IeUdhw5nPsewBQBRFVV2ornQw9y9qHPMwxd7EhaUAkWWM7fbwJx6ZW3T4vzLvUNXk6wtNT9jtXHVB6Cz/SnJXIMQAAEJoz94Dw7NzjKam99ghShfej2AZAHwb2mQN7im6K1Q0+Dqjvbkvn56QgQBzlY1JukBP+DOhdZ+QkIKpU/myMgKQtHy5bdKkbrbGc+EokbxANVqFZVEgltG3zWyZRmdJ8poTRFcFomgAkDDyXDiiC0tB1PXwBvhGAjUIu6nkq0ZPiGga4PIvgO9agtQTdp5WQXj64YcvfvopBUAACufMyTh2LOCcIyZA2rx+VxFkvo5gCdGN4STJ4oInX+XMrV6zj2gdIKaFfgfJvANI940fNtkmd5ETsMvFV1cDSmn8TMhlVqVi0YUlN2OIBOWGhq4SPaHnbBlJjGr8SEh722xgTLroQrTVE9KBlIosp5eu1FC/PK30hOV/+5uvbYEARIejeNas+j8u9tMTyhhbDUSnU2wkuiWsOcHr+AkIBkBAMGuIZnQBlmJx5gTRda7xA8GsJQlQ973510dyz3gT7e2Ky3/mwYUx3BnGOMY3GYBYruaLnXt4Ly+23gYGoeFDBxLnSb7+jDFmuN7WlzG2mcMKFdX1hJXLXzV/sc009XFCCEIIsZznyNH9ERvqidxST4gxDreybBdsg9NWT0ghVPrB+wVpvUC4NBxFCPG46pKT4gN2pIOkse7W5eaWPPlky1sZBVB/4EDxggfa7k84ZHA6p9P5Jq8IIVi5p5DO1sd1/hssNADFYCwYzIkUGyAIDZEDXZX7fKvVsSzowvshqruD8IbMtLqyaowJQogQUGoqr2LlinPr3xu5ZjFFUQRkAACdrnzFq55d/6ebf2trPSE0RJ/T6Y0UY3JXHkCEKBiEAGCbMsWm0i5rjq1bi59bOuR3d1qtRtnpRQiBTlez5ePSTR/TS2f67U84bGgmwzCXaqNC84QlCx/yHjp001v3Nl9ZjKjTjz2D7htuHJ1BmuIQE2yxmAcNHyyKjUdCqAmh6gll7CuvZ4/Y3jHpHS31MoSlTHNV7OMdhZbE23SW5IBpEKUP7zvXefYLia8N7323spUvGLBQ31BxzLdYjBBiMRsnjMtQJGfHp9stWX2YG1N9l1mS5JReCbohA6wEta8nJBRj8Nad0kem0zqlXoSvJg3ffMtGm4x33iy7eQDAGEfYLGPGj2S2HkwJqCeUMTT6qocxIU0RG9rqCW+66YbKiM3xMUm+/QmbUxJMBLGx7yrJ8q0TbtLrO9ZO7JSekBCi4xizWckVVbQu3Jo0ifSUL/dwQxSjt9t6zyRAkNLLJoOBYEkW6pv7rjRNWcKUGZNArI6JMNM2k+xwAwJCiNFkNIdZhJqGy+gJAZAsNBC5qwRl3QxiOdrAMXERuM7l65KxHBseHV5DyGX0hIQQvY41mZTpKAXUE9boWR7Llxd22sKMFNWx/nln9ydEjIniFL/7oqCal4hSJQIBADF61hTXPBqEKJY2xCmSMxF5/vQF8Ww1MBQAAE0JZdXekopmxUY7p2HWGEMxSg5OqggRBdHh5vNOI5YBAEBIrne5Dp28ohMQa6G4cEVsCKgnlBo8V1gdRTBjSOjoGNVVtD/hNQTFGLmwXhgLAAAEA8Xow5VpBcU8ush7oowvKKMMOgCgDDr+ZJnww5nI+2/9GekJ75kFIu3adYyyGACAYmm5zu3ccSTqgYndtj9hAD3h9kMMw9hyhjbuT+h3IQAACJYFXcSAjr59NCQ9YdfsT3htgSW34DzbULqTsySZ40bS+nClJgnKX3ix7K+vRcwZF/7b22v//pnz/d0Hogzlt6Z3s55QXWo/2nLqwXmWcZnRL8xzbT9U89qmAgZ+mDKoW/cnnD3bcXhvzNLZPj2h59sfcwfHeQf3atqfsEViTO6bMzk8wmbuOZExRDX3U4IkFD0hdM3+hNciBEsI0YpP6RbeM7ty4wbfe0djZt2TtO5d//0Jm+giPeHVwLk//+X0H57zOSFsUGbagX0SQLftTwgA2OPJG5TpLDzlsyH19dcjFj2M2+mRcjqWQig0G5DfTFfZ0qXNekJjhjIjfhodRW5oOPPEE0AIIJS0YkVXvFv5mqD0qaekmhqCUMLTT3fNi96vgDsvr3zlGxQQLjY2GJVfaPgHoYaGRjdz1S3g1tD4uaEFoYaGymhBqKGhMloQamiojBaEGhoqowWhhobKaEGooaEyWhBqaKiMFoQaGiqjBaGGhspoQaihoTJaEGpoqIwWhBoaKqMFoYaGymhBqKGhMloQamiojBaEGhoqowWhhobKaEGooaEyWhBqaKiMFoQaGiqjBaGGhspoQaihoTJaEGpoqIwWhBoaKqMFoYaGymhBqKGhMqEEocvlevXVV1evXq24NR3iX//61/bt21U04Msvv1yyZElRUZFaBpSWlj7//POrVq3ief7KqbuMurq6t99+W6nN4jtKfn7+M888s3z58pMnT6piAADk5eUtW7bs66+/Du30UILwk08+iYiIcDqde/bsCa3UzrNjx47PPvvs+++/V8uAhoaGvXv3jhw5ct26daoYQAjZsWPHiBEj6urqvvvuO1Vs8JGbm7tq1Sqk9P5wQVJUVDRgwIA777wzLk6ZzZI7Sn19/Y4dO7Kzs3fu3OlwOELIIZQgPHr06PTp00eNGnXw4MEQTleE7OzsRx55xLdFqyoIgnD77bdnZWXV1taqZcOsWbMyMzMrKyt1OmU2ag+BixcvFhQUpKenq7W9l8vlstvtJpPJotIGcuXl5bW1tSkpKVlZWQwTxDbvbQilEns8HqPRaDAYPB5PCKcrgsFgMBgMKu7rZrfbhwwZsnXr1uzsbFUMQAhZrdZDhw5duHAhNTVVFRsAIDc3d/To0fHx8Wo9Cauqqr744ouVK1eeOHFCFQNEUczLy9uwYUNBQQHLsiHkEEoQchzH87wgCBzXsW2BlUX1nRWLiooKCgomTZqkSumSJO3fv3/KlCnjxo07fvy4KjY4HI5NmzZt27Zt9+7d+/fvV8WG7Ozs559/fvLkyTt37lTFAIzxoEGDli1bVlpaeuHChRByCOXp2bt374MHD1ZUVKSlpYVwulIQQmQ58N7F3YAkSWvWrMnJyVHrTuTrE8bExDgcjqSkJFVsMBqNL774otvtPnHiRHJysio25OfnGwyGhoYGm82migE2my06OrqqqorjuNAqQyhPwrvvvnvLli2nTp3KyckJ4XSlMJlMsbGxapVeVFSUn5+/du3atWvXqmIAy7Jjx45dtmwZAIwaNUoVGziOS01NzcjIGDZsWHR0tCo2DB069JVXXjl8+PCMGTNUMSApKSkuLu6pp57KysoKzQnadtkaGiqjTdZraKiMFoQaGirz/1F2FKEryEurAAAAAElFTkSuQmCC", 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", 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", "info": { "equation": "5*12=60", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
da5d17d2f6e1305de7db98fe2bc12a7f123de900d8f608f77eb5bc6aa45dcd6b
34
2,253,811,733
train
2025-09-16T02:27:50.183839
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 2253811733, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'1', 1:'8', 2:'-', 3:'8', 4:'*', 5:'1', 6:'=', 7:'2', 8:'7']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [1, 4, 2, 7])</answer>", "action": "('move', [1, 4, 2, 7])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "19+8*1=27", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", "info": { "equation": "19+8*1=27", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
0a93602e2591f4bc0a53eb0910e61c46de086302af02731412004b7a7feffa05
35
30,349,564
train
2025-09-16T02:27:50.203420
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 30349564, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'4', 1:'+', 2:'1', 3:'9', 4:'*', 5:'1', 6:'8', 7:'=', 8:'1', 9:'3', 10:'4']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [6, 6, 9, 5])</answer>", "action": "('move', [6, 6, 9, 5])", "reward": 0, "image": 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", 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", "info": { "equation": "4+19*10=194", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "4+19*10=194", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
47e62c2860662d742957eac24bef09c7f31b00719d1a1f5ae2dc55b6bcee5696
36
1,855,189,739
train
2025-09-16T02:27:50.218647
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 1855189739, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'7', 1:'4', 2:'*', 3:'2', 4:'=', 5:'2', 6:'6']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [0, 0, 6, 1])</answer>", "action": "('move', [0, 0, 6, 1])", "reward": 0, "image": "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", 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", "info": { "equation": "14*2=28", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "14*2=28", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
2c2fbbccac4be3a7a0307f3bd66791b0f2af0bcb79f87813a3a70debde9005e1
37
99,052,376
train
2025-09-16T02:27:50.234858
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 99052376, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'2', 1:'0', 2:'*', 3:'2', 4:'=', 5:'1', 6:'4']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [2, 8, 1, 6])</answer>", "action": "('move', [2, 8, 1, 6])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "28/2=14", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "28/2=14", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
84163cf12a629d7a9f9e8aea8ce0597186fa4c3dfc54cccf0e4824cd2ab133b5
38
1,250,819,632
train
2025-09-16T02:27:50.251935
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 1250819632, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'2', 1:'1', 2:'0', 3:'/', 4:'1', 5:'5', 6:'=', 7:'7', 8:'8']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [7, 0, 1, 0])</answer>", "action": "('move', [7, 0, 1, 0])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "270/15=18", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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23sHlXn29lnl3l8FVUnJy3jzqcHh+atcTvv9+5apVqZ8/C9E2jmU/eeejpL9Xz/5yLzKbAeD8//1f5d13e00oC5Se0Nlc5Go9xDBcU1Pz3kPNP9y4zX+bl2LU9IQEoWmzp0eZTJRlhOLShh++mn3wgGny5ECezKgQdD2h1BspyempkyemKIKEWOZc/sPjNv96zEPrLm9zGD0hEXqneiiKoqoqQhAbGzkuIXWkWR8W8dw5xeHobwVq1hM6Dx0xX3sVig2niqIoau7Mqe0v71EFkTWbAcB19OjAJnkA9YSK2C60HUUIMwze/WnR3Jse9tPg5RllPaEqK6CofOZ4Js4onav+OgZh0PWEfZGiqqriEj1ptltnO4oPjnloGJvD6AmJNGjuGKXAsazZFPjOK8SyXu1kjXpChmXjI5CBpbJCCbVFWLvNpv4meKBEZUNRpS5KFYw5weWMik+bPf+mgJi9JKOvJ6SUCTOzYRYU0K6sUWM09IRee7IMmxiNWocvFB/0hIM3Y8aIDRE+5th3LqE2HLmekCjS6XriEAEhxGKxrE6xX9DyDdXgBWRWJ1EEZ3MhAGYY/MXeg4wx1n+bw0BHXU+IsdJodzd3APgxmSl0jIaecMh26XiVL8rbS+gJrX16wgGiMowREIJZM2dO0JD7y2PJyzMmJvqvJ4xYdpO7rEXtdgKDsZl3fVliy5/LWHulqBHLlzMMM9BLQPSEqrtbFdsRwpSQHpFfcdcGPw0Oy2jqCTmORRghAydV1DLYZp42NSCnMMoEXU844HIxDAMYU0UViiqiVt46rM0LesKT06fL3d0ePeHxrITapdmDRGWysui6/Ol5eebEJYwxKMrOtj/+8dx990EA9IRPnN/xx6Q//8Sx64D9lU+yig8aJ0zoT626//6WV19FgdQT0p66z8WOUpblKyrPFp/oWL/pVf8M+kQA9YSn5s3zFDMDcPDqtJbZqYOK3uVasWJRglOpfeR3E1/cFr1mjbYMf9P1hL07KKKYnTFx8YKZ1ff9lyVz7qQ/b/chc32Ub3piL0ARwMdW46fvvT5UVCbLEiV+icqGJTB6wp6eryIjCwEOAPx5QWaX5ByYKrS27AmonlBxtbWV/Kbt+Mudpa/+euOy8pOH/DToO4HSE1Y9+KBHSnp64UJJEr2KvuDGJV8BHAB4L9F6ulTj2X1b9IQuV+Xrr3wGUATwJYP+/vLTvhi8UBM7mxEftXxGuMHA56V0h1uDISob5nEQKD0hi2pvyc3rFliryTpnMnEJwJv7Ux08bgyonlAW2oBSxKDOzs6w6HHpmXn+WBsRgdITjn3ySSJJFCBh/Xp+yAhe7dy0TEM3jxnXNWlk5P8t5OHboydsGR+Lb5wWYbKoWYnORJ/qjBeCkDEbxjx9Z2R0THNtXVe3v1oPDQRNT+idGkA9IXF3u5oLAWGWYXZ/UhCfPuJWmT8ESk/IxsWlXkLkCQD8uNj4O+7lDSb7kVPatE7fLj0hgtifrtKqJ/SI0wx+i9P84GunJySyk8hOwKyqyLwl/qaVWqdCaSNQesLLoxLiEIkMmh+Lup7w8lxhKoqvG86WAxQQxzIHDpY4JZbVNK/yG8+l9IREcg95tep6Qh2fIargai6SHXUIMwhBxbnWld97bPjDvpXoesLLowehRojb4WwuAsRgjBsamhEXkTB2wvCHfSvx6AkHDQLPTDeOjR04vOb5P9hg6wmvTC48chDjnzD0iuHyesJAIdpPAWIAAGPU1e3ImbMs2B6Dh1hZWbl6NQEY//zz4UuWBNz+FaInDBRowHyPgHAhCMXmZojmAAAoxYaLNIuJ7KJECup/MKsjn6c2FC89IWceNALBG0zEn16fPlR3T6872T0lc2Zk+q3+2xxxHlQSgO4lSmsefbSnpAQBVG/YkHOsBAz84HR/PcCVoScklAak6MWmJg73rh42dLoVZjgijcxLrwnn53vYD/5mnPtvAIA53r5335eSKqukX084eVJKtPG829lqHXu9ISLNz9O4KAhB8th4/++qgXpCJIglO/7XFROGVAqexQJEV0x0uP9eOEu8u7vG8523xvtpTRsJ8TEGsPs5ytK+Y4d91y7PO0osKyv9yWMNN13TryckhBg5hWECEBuh1RMCQJjVHB0d4Wccyo2Nwgu/in72LkIoYjix4vT+f7zlQrRXT0iI0FmXkxY2ohuMBQDicJx98MH0BeNMZhMV3GA0tLzyunz1fnbRtH49YbchJWxsIiWqs6kgaEGIsjInCd31AEAI1RYnHe+/73jrnau+/6yqqhzLyl1d5x5/wPz0WmwyAKGUUoPRkJY/XVEJy2B/yoMPm+BsKgRgKFG48MBru3xhcvqE7vo6SimloO1c3E1NtT/6UX/dHQE0bf2fNlo6cH3CvNxshBnom1ylObeW/Py0/HzNh/tPTEwUNy5BVQkCjZcLAGoe/dEY0RkXH6s6RWTgOz//gu7azd+/9IKecGxCZGSap07noxcWAFSXS7Y3m2++XRVlICQiwjYjOyM2PjnaW09IADFEdkjdVYawwHdCyM5GsacZIawo6pT0lJh4LVoELz1hzvSMTltU6txZTHSYpzuOUup2ywCgqurMvEyjUeMjmeEjwlJu7Kn92Ja8iAvO4PLloUR2nj8NgAmhYWGW6eO1/D+A7+sTUorGjUuMSEkKUPZDgHD+hCIrCDOEktn5U0eukwMAcB4viXjgeqIoAMAwzJxZ0/jDZ8d66QkVBQAMBn7mDJ8KxVPNQNhqZsZEAKEAwHGsNdImKepFVVKUuIni0pL94aCKSFUJMTyl1GTkeU5LFWiIntDWxbOSW2Ykt1efOKXUajVibUUBgDBriJjEh6V63hIhgFLV7fR0bDAMtpg1PU181hNSSo0G1mj4Gg+Equ6e/qq7zaZxViY2GNikaI8ZhFB4dHg3vbieECNktvg0l7D3FlTtXe7SOsRiQEjtEcSyuku0xylmzawxStsJDJMVPgxzVgAKlGA+HDTNmfDWE5bWqx3OS+2LDTEaZy71EbIIBACEWXOsR92HMIcNWgplROsTIs6KuACv2zGasJb4/m5zzZpPIgjisXO9dlTiKqm65FQ+xDBGnwQ6GADY8DBr7mznnuPYzCMGq50OpaIx7Nqc0dQTAgBrimF4G6UqJQprisOayttbT7j3hDk7xRgXzjJ4yJCUzFvHfU114gCAMMtbkylRgBLAPG8bp8HIt2d9QgDgwyZ43oSUKHyYxmZ85M23OHYfREYOAAAhYc+JiBtmeg14MhgDEEDIEDbeF5t9esIzZ07OnRW57kbr4ukt//LCYTPuW59w9PSEAKBKXd01uzBrtSVfizmbNiN1Gze2vvOH5Lc2Oj861PTbv3+xdLIaH+lZnxAAKCFWi+nONUvDE/ONMdMwq118EHKIIrhaDkqdFeETvsOa4rSNjg6vJwzQ+oQhh1LV3V3TU/tPS8I8Y+QUxGiZEkBcwsk5+dxVEXGb7mpd93L5uYajK6YzMEBPqChTsyYtWTTXmLCItyb58se2qL+/q/G5LVVPbEQAltSJGUcOEYPBq+ub5RiWYQP7b7kXgRIA5M9ou+p0nrgqy1VbTQFS/+vXUQ+v8xqSQgj4IA9JjSaUqgj5VSuuXreu4eWXASBq4cKJu/9JCPEqeo5nGYb5Zsyv8v9yde7+uPSGpQDAsFzm8WNMaioMrtQzDOY4Fnz2cuFGjH9kg7u+ThGEuDvv5MMj/MmlX/gd5IzFMuG1V9reeYe1WOIfWodCMSQ1mvh5S8FwesJvGP5froilS8Y99ZRQUxM+Z44l46oAZCkgih4dHR3NfBMqGDo6X2v0INTRCTF6EOrohBg9CHV0QowehDo6IUYPQh2dEKMHoY5OiNGDUEcnxOhBqKMTYvQg1NEJMXoQ6uiEGD0IdXRCjB6EOjohRg9CHZ0Qowehjk6I0YNQRyfE6EGooxNi9CDU0QkxehDq6IQYPQh1dEKMHoQ6OiFGD0IdnRCjB6GOTojRg1BHJ8ToQaijE2L0INTRCTF6EOrohBhfg7Czs/PZZ58tKSkJam4A4I033qiurg6qi4qKis2bN7e1tQXVy1tvvbV161a323sB14Dz7rvvdnV1Bc/+oUOHNm7cuGvXruC5AIDS0tJnnnmmvb09eC7a29u3bNmycePGoN7GXV1dW7Zsefvtt30/xNcgLCgoiI2NLS4uVtVLrEsaCI4fP/7ee++dP38+eC4A4PDhw/Hx8fv27Quei/r6elEUzWbziRMngucFADo6OrZt2xbUUG9oaLj22mtzc3OD50JRlIMHD6akpAS1UKxW6/Lly2NjYyVJCp6XvXv3pqent7e319TU+HiIr0FYU1OzcuVKSZJEUdSaveHJzMy8++67yeDF5QMLISQ7Ozs/P9/hcATPS1xc3KpVqzo7O1k2uKsgHjp0aMKECUFdWktRFJvNFhUVlDXSPQiC0NbWlpOTk5KSEjwvBoMhMzPTarVmZWUFz4vJZBIEoaenB/m8xqavQeh2u81mM6U0qBHCMIzJZAqefQDAGGdlZZWWlk6ePDl4Xnie7+zsPHPmTFJSUvC8iKJot9tzc3N9L28NtLS0vPXWWzt37gyeC0rpqVOn3n777aC+owCgqanJaDSazebguUhKStq5c2dDQ0NsbKyPh/gahCzLSpKEEApqeQPAKKyXaLfba2trc3JygueisbHRZrPddtttZ86cCZ6XysrKXbt2ffjhh0Gt9M6fP//ZZ5+tqqoKXtGoqpqdnb1hw4ZDhw4FyYWHqqqqxMTEoLooKSl56qmnFixYUF9f7+MhvgZhXFxccXExy7JGY3AXeSeEBDsOd+/enZWVFdSKYmtr6549ezo6OoLqJTU19YknnsjKykpISAiel/Ly8vr6epPJFLznL8/z0dHRjY2NVqs1SC48lJeXB7UGBAAmk6m1tdVut2Psa3D5ut+8efP++te/ZmRkBLuRExERYbFYgmefEFJSUvLmm2/u378/eF6ysrKOHDlSUVExbdq04HmxWCwZGRkzZ870veajgeTk5M2bN8+aNSt4LiwWS0xMzLZt26677rrgeVEUxWAwBLWBAADXXHPNu+++KwhCamqqj4foy2Xr6IQYfbBeRyfE6EGooxNi/h/Q4sZZuGbVKwAAAABJRU5ErkJggg==", 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", "info": { "equation": "270/15=18", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
082acb94053217e8e2421c3595700bda5a160767f82d0747398b62449279b113
39
2,253,890,010
train
2025-09-16T02:27:50.266839
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 2253890010, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'9', 1:'9', 2:'-', 3:'3', 4:'1', 5:'=', 6:'2']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [0, 5, 4, 0])</answer>", "action": "('move', [0, 5, 4, 0])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "39-37=2", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "39-37=2", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
daacd3b315beccf13ac50bc5168e17df2c2a733ac769267eda003eda6ce9dc1e
40
2,627,888,186
train
2025-09-16T02:27:50.282084
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 2627888186, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'1', 1:'8', 2:'/', 3:'2', 4:'=', 5:'2', 6:'0']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [1, 6, 2, 8])</answer>", "action": "('move', [1, 6, 2, 8])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "10*2=20", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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PzVLcFnRMT9j2ByKIkj/xRFEakZud3D2lK1y6+nRET9iOKIr+PJEkOb13d2O3zJD7osGxaXPC76biWCOIEgCIojR69PAz1Ieug4fakzDsmuovW0+IWI7rmYj0HHF5AYBgYo6z6I06COxsIETp9aEbxBTUEwbXTDHGlJF8SxWRvIAoiqIqK2pmzHkw1prYFeY6oicMhRASE6PXKbdkry4d0ROGQgjR61iTSZktOxSr4+w2xDFElACAYGJNiD1v4CBwA6F/TTXk3fsL1hMSUfAcKMMtbv/wErG072iV6PAQMSDyCLms0EsJPWEoWPY6q7/CkhsQxdD0d3uP/FRW/dm7q6rLj3eJuY7pCUP+jGldIqKvk7XKDuoJQ/6MEWumuDhlfBB5z54fsdvXHo2e4grR6SNSwH8ExmF7v79gPWHK4odbthbLzR6KpQGAMhvcO4pBZBJmF7aXoUympAULgp6ESukJw4JFF+86hRADADRNlxwru2fejFG5GYf3busKcx3SEwb8+KdqMRa4mJ4U1yVTxFefjugJA3/8E2YYi4w+gTUq0ydP+f1Djs/3E58ATGs0ujbtZ/TWuBkz2sv411RDZYe/eD2hY/fWpMW3mqbmnlu+zlF0uN8b6+LvuOOSUh7Pj5Mnu/bsab+ilJ4wDAQ3V30hOqsB0SzLHD7y06avvn1i2a/r68+9+ubny1/4IDm1p+I2zzz33Only9tlcxTAoZy0upsHUXzww1USpYL80QP72znbaJ25F6XoMp3qesLSO2YCbn3e0gAnesX9dOuwQD2hH0mURuRmj7txMGPN1idk05wys2VEkk7Omess/i7x8TtNY7Prl77VsuvogA8+jp0yJbCY7HQeHzfOU1zceldUesKIkxAAvr/ztnY94dmeVtPrf52cPzfSSsJCZHmXvTtbW4cAWIDiHNuEz7/O6Bk81HZXV+7LSL+oJ5w84J7P91s6LWUKxdt4xFXzNaI5hJAoSc+/uHbOrKn9+9oB0NZtu6oa0NKn1iluFAAO5E8S2jRyp9Ktca+/cePoaWFXIliWoWkKkMLbhlqKio5Pnuw3SADS//KXq6wnBIDjf1jc+OLLHAACcCZZGp9ddts9j4bdok0zNMvQijeC5PXs7pama2r2R+Oh3G4FG7/rYQt+7DqPHzuQnX1RTzhtyMKP9xkiceaa0xMWF2TnX0iXCRiSrNahKXI4jVyLSdcVesJgCBbdZ4GiAYBlmGM/lvfukTQwsxfPSwAwaeLI1/6xubG+JtGm/HaWII0cYNDrr9547xrREx7JSulRMCzOYCAAhuk5F1hOr1NGNt1BeJoqmTE4340lTIxpCZaBCbLLAyH7BS5Y9Ne9njAcXaMnDMJTv593nEAUS9NUbV3Dhk+23bvoaUK7CWlAiKZopmdqzCsrH/7js+/oDArnf7BGrmt2xoTl2tETUoQk/d/ZtpQUAKirOkXKu2Ti7UrwkjG7V6qmJwxP1+gJgxCcp/1bsRiGqTldM3H6wqE3TpO85/iy9QAgy3hawYS31n3icDTZlE7CLtTI/azla0lPiN0+7F+vkjGA8jv1fwZNT6gunoYDorceIRohVF/fuHHTt30ycwCA5iw0GwMEE0IomuqelvjxP55yOZ1q+6scmp7wqqMlYTCy4PSeO+ypP+DfIqPTcd/sPjhx+m+yh40FAETrzD2nIFoHQARBLJg6ftSQxKqjXwJRRdDVBVxp7UvTE3YJWhIGI3nPOU8X+XfkUhRV33C+rOzUpGl3tRdgTam0zkoIBgBBEO327t2srqvaZexKLrf25dcTMhBmrbK1yL+znrBzXFvK+g4quLoOgmVPw0GKbZ2KpCh0vvH8kNF3GGMuWQc3pdzQXPG5/9+yTAjxehsOGm15ivkRrkN4dbh29ISIpgGuuE+oi7lq0RhNEko/1y2JmlA9IR2iowMATmfoMh+IzDe1x5koCn0yh+T1nxNUiGLNQOSLCjoiy7xDKQ+w2803NgJKb6ucXGFrLhbdWPIwhkRQbnrqGtETek/XkJ5Jrb8ScoVjNogsyIKD5qyIVlLTFKonDBuNLKfvZDRGk4R9MnrQtPKP6lA9IUXRtR9/WJXdnwgXJwAIEN7r6tUrTSnRyiUgiovpKbSUt6/86ixhxjmI5hhjiuQ95488RHFsTMR66stRfd/9Nq6aMY73LwYglruwbetO3seLlx4Dg1BebhZxneBbqo22PL21H2MMo3mNDtX1hPUrV8Vs22SasZgQghBCLOf9/vC++A9aiBykJ8wZ3D+GbnI3lujjBuoTsjizMnuYQvWEFEKnPny/NLM3BEYjIV53cy97p6IxmiQcmZfjOvejf6cNIQQrNCcRRk9I01WP/ic7a5hhytD2PCSEGIz6oSNzpbapOVnGSinpEKJ08QN9TT9SjOEK4xyKMXKxvQV3LUXrgWCgOX2cMgqaujWra997Z/TaJRRFEZABAHS6M6tXebd/rlt486V6QnAm1+r0Rooxeer3I0IUTEJQVU/o2Lix4k/Lh//hdovFKLt8CCHQ6S58+tmpDZ/Ry2cF6Qmd1io2Po5iTL6mn7DkUyoJw+kJqaqHH0f35BnHDWqPRkyw2RwzOG+oKF6MxkhtRZyEgqvGfaEcUbTfXo/uKX1synzHTKieMHdEdl1aQkpCauv5hG0QQoS2Y2slSZp80w3mGMVW6jhTalzf2S1VX1CsyWzPv9w4Rx+fRXEW56mtnNkekzpaqc6g44vN5pF9mWEZ/v9mSZLTe3fTDR9oIejyekJCMQZfc5k+MZvWKfVF+Gri/PY7NtlkvP1G2cMDAMY43moeP2k0s/FAejg9Icb+RtBJ3nq+pVJn6d15H0L1hKNGDamP/zjNZo8PikZMBLEtGmX55smj9PrIdixE/h0zkhdLHorWAwAhRMcxMTHK7KgK1RNa4ixNRh3fdiJc2LsIIbGxJgW7x4jm2Jhu8VkLEVxpnEMxRr21v86SgRCt4PAdsTomPoa2mmSHBxAQQowmY0ysWbjgvEIjACBZcBJZsf2D6oJYjjZwTGo8bm7VtbEcG5ccd4GQK+gJARCRfVhS5iyAsHrCC3qWx/KVo9Eaa6TCHaF5JVuROsforIwurm1ZjCDGRHHKPH3D6wmbXESSr/SeIZg2pCq+eRchuiMzDYhSeAKNiDxfdU483QgMBQBAU0JNo6+yzt87uPxtmDXaKEbRLztTDyIKosPDl1QhlgEAQEhucbsPnvjZRqA4C6NPUMSHsHpCyen92WhkDN0inaOKPAkNSYzRhrEIAARLNGflYpTZwRxOT/gD8glxt45qPREuWEoHAIBlQRfXH1HX1lpL1Nh+v8h3vIYvraEMOgCgDDr+RI1wrDrx3pv/jfSEswtBpN3biymzAQAolpabPa4t3yf9Kl9NPeHmgwzDWAtyw0cjAADBsqCLHxjpt49GI2WSBSff9KO7bq8hcYghMYfWxUZaQ3gwLl+w4MI3m2yPzjRNzW1Yvs6744evs5Kdee3nEwb4gOV5swpsyfGm7lMYo03Bzfuqc+aZZ2v++mL83Ilxv7ul6W9fut7fsT/JcObm7KusJ1SXpk8+LbtvvnliTvIz892bD154cUMpA0HnE/rpSj3hHMehXbblc/x6Qu93PxYNTfUN7Q0h0UgwuWfutLh4a0yPfMaQFOlKSTRJ2GZYUv79I8slw4a3/ND6lZu9n3wq8fFl+DJjAI5jKQop3hG9Fjg5e079+g/8jWArnG1/9+3g8wnb6CI94bVA7VNPV/3nn/yNEDs4J3P/XgngauoJsddbMjjHdbLM70PGSy/FL3rwstGoYykUZTRGn4RdhO/EidoXXkCEMPHxHTkZ67pEdjqrH3kECAGE7KtX0+brpJ8ZKaeWLpUuXCAIdVu2TN+v39V3wFNScmbNyxQQLiWl+zPPdJGVay4JNTT+3dA2cGtoqIyWhBoaKqMloYaGymhJqKGhMloSamiojJaEGhoqoyWhhobKaEmooaEyWhJqaKiMloQaGiqjJaGGhspoSaihoTJaEmpoqIyWhBoaKqMloYaGymhJqKGhMloSamiojJaEGhoqoyWhhobKaEmooaEyWhJqaKiMloQaGiqjJaGGhspoSaihoTJaEmpoqIyWhBoaKqMloYaGykSThG63e9WqVW+++abi3kTEW2+9tXnzZhUd+Prrr5944ony8nK1HDh16tSTTz75+uuv8zz/86W7jObm5ldffRXjiM9qV4SjR48+/vjjK1euPHHihCoOAEBJScmKFSt2794d3e3RJOG//vWv+Ph4l8u1c+fO6Kx2ni1btnz55Zc//PCDWg44nc5du3aNHj363XffVcUBQsiWLVtuuOGG5ubmPXv2qOKDn6Kiotdffx0pemJxxykvLx84cODtt9+empqqigMtLS1btmwZO3bs1q1bHQ5HFDVEk4SHDx++7bbbxowZc+DAgShuV4SxY8c+9NBD/iNaVUEQhFtuuWXkyJFNTU1q+VBYWJiTk1NfX6/TqXZG6vnz50tLS7Ozs9U63svtdickJJhMJrNKB8idOXOmqakpPT195MiRDBPNiZ3RBLHX6zUajQaDwev1RnG7IhgMBoPBoOK5bgkJCcOHD9+4cePYsWNVcQAhZLFYDh48eO7cuYyMDFV8AICioqJx48alpaWp9SZsaGjYtm3bmjVrjh8/rooDoiiWlJR88MEHpaWlLMtGUUM0SchxHM/zgiBwXGTHAiuL6icrlpeXl5aWTp06VRXrkiTt27dv+vTpEydOPHLkiCo+OByODRs2bNq0aceOHfv27VPFh7Fjxz755JPTpk3bunWrKg5gjAcPHrxixYpTp06dO3cuihqieXv26dPnwIEDdXV1mZmZUdyuFIQQWQ5/dvFVQJKktWvXFhQUqPUk8o8JbTabw+Gw2+2q+GA0Gp999lmPx3P8+PFevXqp4sPRo0cNBoPT6bRarao4YLVak5OTGxoaOI6LLhiieRPeeeedn376aVlZWUFBQRS3K4XJZEpJSVHLenl5+dGjR9etW7du3TpVHGBZdsKECStWrACAMWPGqOIDx3EZGRmDBg0aMWJEcnKyKj7k5ua+8MILhw4dmjlzpioO2O321NTUpUuXjhw5MrpG0I7L1tBQGW2xXkNDZbQk1NBQmf8FoEMjIudQ8McAAAAASUVORK5CYII=", "info": { "equation": "10*2=20", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
6d6b6aa2c1d0b5c2644d9354dab1e202f698b3326328fe38116e4a83743576a2
41
1,717,389,822
train
2025-09-16T02:27:50.299492
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 1717389822, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'3', 1:'9', 2:'+', 3:'3', 4:'5', 5:'=', 6:'7', 7:'6']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [7, 4, 4, 4])</answer>", "action": "('move', [7, 4, 4, 4])", "reward": 0, "image": 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", 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75hvH9SN/Z13N55u7GKCGrjW2vj6y67O85+6MeOC6vjf+0fnuOxHXXRdePtebyr3zE9o3qrhpZZN5QJgQwKSp4KGkJ59Kef55/1o1hp/QDstMKZscRjNYwkjFNBU+GLfiofTXNvqneO7ll8/89rfOGS0C8F1m2Pw3Hh8/Lp5C1Hc793d2ds6bOzU8IoIQRLA1auI9tErvnxyM6Se0b6FQ0fTiqDCNZLXRUdpTM9fqCmdlf/bp5fMTYoTypxbERoRLZoGOCW9e8KQqesLEr3Z4dGD8GLGePn101ixbe7ujB4PhJyQkc1J2ZmqSaDAzMRHnfvumeXdz/r4fvPFne+UndGwVbDZsN2hwjP7u8oF/VvjRpJEUnf2Eju2CYMN2q4FEIu+/fuDbnf4r7tnj/F8CwACkGIE4fY/Zs6ZFRUfZBs9Xxtx1UDturt+Ko/sJHRttNlGy2gAAG61Rqxb1/mmH34re+wkliwAI8IAp8sFFnf+ymUjSZU4oBg+ho8Pa3u486g2en9BoAYTEPoP+jvL+LevE7m4fgnB0P6H7R4ihmeRY3HTB9xbBKIoOP6GHHWiKSY1FXEdgFaXhmVxBsOFLP2aIzIzW6H5Cj7twqbFB9RMS4FJjA+nSvAJANO1+QQmqnxATZlw0peaB8ir74K2fcPiXAmIRLDWNRPR8JnnDGH5C949somV/AxE8+OVkKY6S0UJIZkbLZ0UA074GEkw/IUKmfQ3YbA7Z00KXASJJofUTIoayHDwlGYxe9qpXfkLHH8syiEJAU0QQDTtqYu69x8fmXGJ0P6GrIkUBgOHzvbErZCguX+5ySaEZJmLJdOcn5hiaZhkaIfsPRsLrZc0xjOEndGojRVGAAHFM/5Zd0T+77H5ClmUomgIApOb6t+yMumWZnNvvlQY/YYKuqCj4fkKWZWiGBgAqTD2wrUo7ZQaXlORN/d76CQEAgEhG0y23LkhkVS0rX9VNvTp78wfy/ITLL2ze7FA8mj/u9LWThvyEg4hG49Kl89Ij9c33blBnFUzc+oUcP+HpVavOvfGGw93XMDFh/6yMu2+5Nj0tiaKof1bs27vvGMexCxfMys3N0oybz2jikbwp9VH9hI42msrLpxXmTmh98M9Awq/atdvvOWcAaH/xxTNPPulQbEmOPHhziauf0GiaObNo+tSCll9sxN1S/r4DtFaWwyDIfsIxMVZX15WVYUGAIPoJJYsle3zK4hvnnfvDfw98eTC/aj+f5V1SzWFqGsNPaDKZTMbvsjLtb+n8jme3/IdcP6Gtu7smNdWueHTaNMFidlE0m03flxRUAlQBVLD0B+vXylSUjMZDubl2d9+hvDyb2fz9V5/88NljvXVvXKx/87M3Vp5sOGo2GUWbECiv3Rh+QpPJbDLtWbRgJ0AVQBWC934dAD9h3U9+UgmwG6A6Ntbc2uLuJ9y3/NYKALuT892VS7A8uZD4Ccck+H7CY+uf/9b+Vl6At6/Jv2h1fXPvSPjgJxQxaZqfNzM/ARPQzcrujZLrJ2Siosa/886FzZsRQOIjj7Aq3sXgTQCa5ubMSAsjgOjp488nybX6URpN5jvvdGzaBAAJDzzA8DzLDHtmSMWrebVmhL39wRs/YWNpZjEznaZoVX4A/IQAkPH669xLLxGAmKVL+eQUD4qT0yYapvE0w+ckNWWmECJnQBMaP+GYBN9P2JIdr76uOEKjVsVFaguTscEC3sWID35CLIrqq9ITH7slUH5CAAifNy983ryRPr0cfkJtaemEUV5gESo/4Uv3BMpPCAB8dvboikyENuGFn6s1YUQUyT8OydEKlZ9wTILvJ6QAYp9ZljAumUYAWyu9P5NC6if0RvHy+wlDT6D9hGNDCDZYMKaAEJmKip9wWBGjFRvMyEdFxU+oIAvFTygfxU+oIAvFTygfJQgVZHEl+wl/LPjgJ7wcdL79dvvGjQCQvn59xIIFQVAMPmP6CQPOwK5dp375SwCIX7EiYc2ay6p15foJA453z6D5gQ9+Qo5jJX8f/PGIpaHhzJo1otEIAE0rVxYeOkTr9c4FKATYwxvNA4mEMXU5Jcb2EwJgEshZWclgaLr/fnNDAwA0P/po+Ny5Grc3AjqWxAsIV6afUJKkALYRRNF64QJQ+sH/enw8laL9O1198BNKkhQXrQPkWOhOFnY/oWQ02hWtLS2N99/X8cBtzn5CTEiUnkeIIgGR9ER8bJQEYRgTykOvBoAx/YQSxloVZtiA2Yha1q41NTQMZu1sttP33Xdx3aPOfkIJY442c6pAvl/1SvMTAkDyuASeawlUGHb8cYP+0AHmpiKwSUDTuON89Wd/7+aQ4wouYWzoPpM1UUeIzy9DHAzC1t/9bmAo3woANMD5v/5Xe/8hZz8hIJhROhk7ZWDltKr9hRf6KiudFbu2fNpmrHP2ExJCpk8vcexin+MOLJmZqRdRFMYYaApjHMhrJ0DnW291fvSRcw7t4q5dLc+edvYTShhPLsmnGAZLGGS3sfvDDzs2bXJ2aQ5UV7c8/ojL+oSFhXkcx0kSRgHqVS41dfTMZPC5alL2QHuXPSRknqvGAwfOPPf7kn+9g2EYYpMQw5gaGk++cif9/J3O6xOOz0zV6/X2VW4xxt6fSj77Ce2nqUbNz5oh64Lng5+QEADgOHbOrBK3auRBsKGjhhAECGyiVFKcGxsbyPuD935CewQCQnOvlvU2FB/8hBIGAEzw3KunBCqRduWARaOx65h96CuJ0uyyYl7GE+rmunommlPNLSQWAQAIIVf/ZLplx/Hx7n5CUQQAUZJmTC8M13n76JWffkKKorQ6/x8yHklxFD8hQig8PJAPlNmRhH774IEQotW4PsUmEz/8hBHy2ujH+oQyFa9QiCQJAwhRAEAICdeFUTKuNIimaS1PR+twv9k+0oyMjTxLoZH8hIQQnU5Nj/QCQTf88hMCIIqm+TgvNTziq58QEEWr/V/JfaRK2bCkwcWqCab4aPnrEznjh5+QVifIUvR9fUKZilcmiOIYTdzQMp2E5uMA+T+3SSTJ1jUgNHUAQwEAIDDubyCW0dYnpPk476egfPMTMgyNEABgQLQqQta7z7z0EzIOdx9CfMDzSwip9BMwtgEAxgKnTaEYWbd3F7z0E15aLZBIKr2s1RH/P6xP6A2I5jltKsYC2FcL1E9AMoJQN3sWhbSW6hOURgUAiOcGPt2jXzg12OsT2pEkcdlN89PSM8PGzaf5KDlXF/DSTyiKNy6eOz5rQti4+Yw6VqaiO0SyWvtPDbR8o4mfqo7Op1i51hAXvPIT2sRryqcXFkzUjJvHaJK8P3ge8cpPGOj1Ca9AsGiydB8zduzVpcxTRYyX+da83v/5rPGhFTEP3xBx04yOX/ylva658qYiRhOY9Qkv5Yts7e2HCwqs3d0EILq8fPyOf0gSdk8NcBxDUXRAgkHs6TlSXGxuaSEA+mnTsndWSMRDMoLlGDpAiiNBsCjz1B+xZkk6Vlp68cABAAhLS8s9sJ/otOA2V8ewNEMHLIdWX17e8913CICPjc2rqYbYWPesnf3KHbSsXagI4JE9vfLB9rfepAAQovIqd3JTJoPbazQomuJYxtdeHZa07f38c4efkM8Kxiil/9tvHX5CTUFBEBSDj+nQIYefMLy8PAiKloaGtiE/oX7JkiAo/n9A6utrfvRRgrG2pCR+9eoA1hzIJycUFBT8QHmAW0EhxChBqKAQYpQgVFAIMUoQKiiEGCUIFRRCjBKECgohRglCBYUQowShgkKIUYJQQSHEKEGooBBilCBUUAgxShAqKIQYJQgVFEKMEoQKCiFGCUIFhRCjBKGCQohRglBBIcQoQaigEGKUIFRQCDFKECoohBglCBUUQowShAoKIUYJQgWFEKMEoYJCiFGCUEEhxChBqKAQYpQgVFAIMb4FYWNj47PPPnv8+PHL9G088sEHH1RUVARNzmKxvPrqq1u2bAmaYk9Pz/PPP7958+YgrwvyySefNDc3B0fr9OnTzzzzzIYNG/r6+oKjSAh5880333333eDIAUB1dfVzzz33xBNPHDx40KcdfQhCjPFXX32Vk5PzzTffSJI09g6BoL6+/uOPPz5x4kRw5ADg8OHDOp2urq7uwoULwVGsrKwsKCg4depU0EICAAwGw8svv9zb2xscuZaWluzs7MWLF2s0QVqd+8CBAyzLGgyGY8eOBUcxIyPj5ptv1mg0guB5LfSR8CEIBUHo7u5evnx5b2+v1dOyzJeDrKysNWvWMAFdSn509Hr90qVLeZ73tSv9pry8fMqUKX19fcFsZkVFRW5uLkUF6feIyWTS6/UREREcxwVHsba2NiUlpaSkJDw8PDiKUVFR+fn5Go2mqKjIpx19uxNijO3/CNqdkGEYrVYbzHFadna2KIoY4+jo6OAoarXa2tpaQRBiY2ODo9jf39/V1VVWVoYQGrt0IOjt7f366683btzY09MTHMXu7u4vv/xyx44dPO/tirnyOXLkSFxcnK8XGh+CECFkv3BSFBW0KygABH8Fxa1bt5aWlqrVgVy/fhRqamoWLlyYk5PT2toaHMXq6uovv/xy27ZtlZWVwVEsKipat25dVlZWfX19cBQ5jlu9enVJSUltbW1wFAGgrq5u4sSJvu7lQyxxHKfVavft26fRaFQqWSuA+wQhJGg3XgA4fvx4W1vb5MmTgxb8P/zwQ319vdFopOkgLV5dXFz89NNP5+fnZ2RkBEfx5MmTzc3NNpstaL8JMzIyent7DQaDVqsNjqLVam1tbc3JyfF1Rx+CkKbp2bNnv/baa2VlZcH89aLRaII2TgOAQ4cO1dbWrlu3zmQyBUdxzpw569evj4mJSU9PD46iXq/Py8ubMmVK0BQLCgo2btxoNBp9/b3kN+Xl5X/729/a2tqmTZsWHMWLFy/Gx8dHRET4uqOyXLaCQohRkvUKCiFGCUIFhRDzf+wLLgMYmVtcAAAAAElFTkSuQmCC", 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", "info": { "equation": "39+36=75", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "39+36=75", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
12e1b1e405cc2a142d0c143cb61b5ffd9515ebe540631c657b9bbcd5ab457480
42
599,121,577
train
2025-09-16T02:27:50.317704
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 599121577, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'7', 1:'6', 2:'*', 3:'1', 4:'6', 5:'=', 6:'2', 7:'8', 8:'8']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [0, 0, 1, 1])</answer>", "action": "('move', [0, 0, 1, 1])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "18*16=288", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "18*16=288", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
f2ac7ce5a18cd8de63e34bc76996cd12ed2463961e0e7616f6aa9ae783990287
43
200,427,519
train
2025-09-16T02:27:50.330989
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 200427519, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'9', 1:'*', 2:'7', 3:'=', 4:'3']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [2, 0, 4, 5])</answer>", "action": "('move', [2, 0, 4, 5])", "reward": 0, "image": 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", 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E8fkX3+078J60p1bWTitt90jFxZfT0kq2/ReUPGELaXGesA7IagWWmffog6yGs/6YXfiPL22FpZF/fjrG4zwhavDcUSAk58knr69e7ViKADotWhS58h8SgJtz5TOLnyhe82FAzX9ZgKvxwTcWzlnw55We6PMEc/ZmqbIAag6Der32m/1Hd+46nDb7gdvi4zDGCKHiYvMbb2+8fdDEtKdek0tnayDkh0n3CvXzhGeSgrXP/t/Uh57wjYTGeUJWr2/neUIAoKLYOE/Y7Z13/NzkCQEA4LvB/dmfzuvsjQBoOPa7pICeb6wffvf9HkpykieMe/ddtclkvXLF/su03bpFLl/ubNV6nEoON92b1FUXYJ8xozUFixN6XvNJntApYsWvWCiH2pkx3K3i0h9P/zJ+7J09k7tZLAIAUErDwoJnP/KHT7Ydu5qTER3X9KPZ2gsMs1/JE7aKVucJDwzp/GC03sDyBIACBKW0ZZ4QACKff76lDcmYJ2yMtfhCRcF3FAv26Wksy94oLF7/4Rd+YQn9Rz2G0a+UFNrnamCMTaawWJN65XOzFi59vUefwXJpbilKntATWpcnDHs51Vd5wtYhX56wMUJ5LhUtiK2+ncaz7NW8q/qQ+MX/957O4I+FCpyzXbKVIMQSQnU6zayZD/zn481nfvqhA5lQyRP6HiVP2CwoESuuHbKZsxwOBAQnT/+y8ZOdffoN1hn8AYBVGThdONDq61uMCceyyclJJw9u2r9jg8Xq5DxKoRYlT+htOsyQYJMQbBVKL4mV+dZb5xBb/TgchJBNED75cm/qghWj7/ujY2Vj9CiG11tuptvHNaw2oU/vhIF39d69+3/5GcFdet2DGJdzeX/vKHlCb/PbORISsbLsyi5rcYbDgQBACNm8dW9YRKe6DrSjjxhY94SZEFJRYRk9eqg/ukywcjB0iT1P6OpGZd08ofO7bRzLcyzDMPbdH6WYErGj5AnbCCdHQorxpRkzqi5eRPY3KyUnd924sZ3PjieSpSx3D8MbGtzhwRhfyr31l3986rQqoMsD5ktbHCUIgSCIwKjKLu8M6D5ZORg65XebJ2w7nOQJs2fMMB844EhbVaWnS8XFXTdudH8fllDAzZlx10ZQLFXdYDhdg8Usi/714SGOd/6wRlYbTInYyGxIqrruuGJst4ii1PAerw/5veUJAUCUcBt1eD0T2vOEZUePOjrGLrR4zx40ZUrt+wkbIUnYoBbDw0OI6ydhtymI4TWBiUJZTv3bTVQT1IPj3fWsJjDRZs6qV0WJJrgHoPZ+tdy7Z7xer5XRh/5jxiRs2dI4T8hCc4cafDKaWw9HntCh2S4h75VX6K1bbvKEmJCE7p3UaneP3m01tb3lJk/IApR++23e0W9d5QklCQ/skxgRHiaItU8Kp5Rizya2Nh/EqvWmgdaSCwyrsTuKUgwEGyKHOZ2CVF2FOH3kUMutc4jlqx94QTHBoj4yRZZn5LSIsWMGVxZl133zACEEO39tYVthHDLEOGSIL3+jJ7jJE3IABe+9l7XpPVd5QkzIxLF3chxX9zCDMfHKUcebecK6DsQYx8V2iknwXVCI4Y1BCbOE8pyq6ycAwBg1itOFNDWcDohVBSWkSpX5FfnfAYA+MoXXd6o7tNM+qbx+3FJ8pe4BXBSl23snqEMHyKiqneN5nrCu5Ww2YfiwAQGxSZ4La6s8IaVUo+a1QS7fuu51EMNx2hBOG6INuR2a/bg3hBh7lTqoR/OrZAfbSqhkrbuzoJQadBqDv4+mbndEvJsnpJT6++kMBo0XhNU26t08IVDEG1ldJw+0tRLEcK3wUuuq5EJl7Myo/OqNHlHCqIMYTZh8oto73s0TAiWsNoJRefR0GTveyxNyLMexNZfalGCB0wRpgnp4LlGhMZqgRE4bTLBQE6KgBNt4QyeVXwd7UIAv8TRPyLGc40mqlBLJqg6I5/Umz4V5LU8IAKIgpj48ITQkkADnHzcBMSpW5ee5RAWnYKGMYqHsyk6CrawqwBg9iuE0DG+QW1e7xpM8IQCwDDNvzmQEhNeb9KYhDK9rfFesFXgtT2j/c1QqFcMgCuB4uq5C20IxBUCAfBYF6ui0Ok8IAIBArVaBtzu8kQkBACD/lVca5wkVFH4zOM0TyoVzEyooKPgM5RxGQUFmFBMqKMiMYkIFBZlRTKigIDOKCRUUZEYxoYKCzCgmVFCQGcWECgoyo5hQQUFmFBMqKMiMYkIFBZlRTKigIDOKCRUUZEYxoYKCzCgmVFCQGcWECgoyo5hQQUFmFBMqKMiMYkIFBZlRTKigIDOKCRUUZEYxoYKCzCgmVFCQGcWECgoyo5hQQUFmFBMqKMiMYkIFBZnx5msxt23blp6eHhgYOH/+fLW6vb9xui45OTlr164dMWLEmDFj5NbSAs6cObNjxw5JkmbPnh0TEyO3nOaSlZW1ZcuW0tLSoUOHjho1iud5uRW1AErpwYMHT58+vWTJEm+16bUj4ddff33s2LHRo0eXl5evW7fOW836gKysrFWrVh07duzUqVNya2kBNpvtzTffHDp0aPfu3Zd3nNdm3bx5c+vWrdHR0Q8//PAHH3xw5swZuRW1jIKCgqVLl+7evduLbXrNhLt27erXr9/gwYPT0tK++OILbzXrA2JiYl577bVx48YR0vSbytsPpaWlU6dOTUlJ6d+/f25urtxymktAQMC8efMmTpxYUFAgimLHOgxardaVK1fOnDnTuyd6XjOh2WzW6/UAEBISUlxc7K1mfYBardbr9R3uFXFhYWFjx44VBOGtt95atGiR3HKaC8/zgYGBeXl5H374YWJiYgc6iwaA9evX9+/ff+LEid79tnjNhHq9XhAEAKioqDAYlJc2+4gVK1bExsZOmTJFbiHNpaCg4ODBg8nJyZs2bcrLy8vIyJBbUXM5ffr02rVrr1y5smrVqqysrMOHD3urZa8NzAwaNCg9PX3QoEG7d+8eMWKEt5r1GRhjjLHcKlqAJEkvvfQSx3Fz5861Wq0ajUZuRc2ipKRky5YtJpPJ39+/Y52OxsXFbd68WRTFX3755eTJkwkJCd5q2WsmTE1Nfeedd5599lk/P78VK1Z4q1mfYTKZOpYJ09PTjx8/HhUVtXz58tjY2GXLlsmtqFkkJiaOHz/+1Vdf5Thu1qxZffr0kVtRcwkMDAwMDAQAtVo9YMCAsLAwb7WsvC5bQUFmlJv1Cgoyo5hQQUFm/h+Mjn+FvXAUdwAAAABJRU5ErkJggg==", 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", "info": { "equation": "9*1=9", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "9*1=9", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
5b332470efa653608aa4ba4458c4d16870f723cdbd071b68bbd2411537b41169
44
1,254,751,707
train
2025-09-16T02:27:50.348173
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 1254751707, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'2', 1:'9', 2:'+', 3:'5', 4:'1', 5:'=', 6:'8', 7:'8']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [7, 1, 4, 0])</answer>", "action": "('move', [7, 1, 4, 0])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "29+57=86", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", "info": { "equation": "29+57=86", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
61cdf41e65d4cd0e9593c1486e4962a7217d9592cb763b5cf5d2c6f0155e8cde
45
4,182,248,123
train
2025-09-16T02:27:50.368171
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 4182248123, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'1', 1:'4', 2:'-', 3:'1', 4:'9', 5:'*', 6:'8', 7:'=', 8:'1', 9:'3', 10:'4']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [4, 1, 2, 7])</answer>", "action": "('move', [4, 1, 2, 7])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "14+15*8=134", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", "info": { "equation": "14+15*8=134", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
93fc97d75d5100aaf9671aa733e822c65d9212c8c8292732a5930cb442df7a4b
46
1,573,512,143
train
2025-09-16T02:27:50.385602
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 1573512143, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'1', 1:'1', 2:'/', 3:'1', 4:'0', 5:'=', 6:'7', 7:'1', 8:'0']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [6, 0, 2, 8])</answer>", "action": "('move', [6, 0, 2, 8])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "11*10=110", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "11*10=110", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
373553e0e89d153750a8cc580212aca2f0f69a034c804bafa0506070ab96a8ac
47
999,745,294
train
2025-09-16T02:27:50.403579
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 999745294, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'6', 1:'7', 2:'+', 3:'8', 4:'9', 5:'=', 6:'1', 7:'4', 8:'5']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [0, 4, 4, 4])</answer>", "action": "('move', [0, 4, 4, 4])", "reward": 0, "image": 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", "image_prev": 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", 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", "info": { "equation": "57+88=145", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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2euJLqKhofPElZ4T0AMGffLNv4kSpLygOqxWd2JP28q/08zJ0D73Gf1EId/5aRVsAIG7jRiyKBCB63Tq3ydvvh0uPPCq3tjpDP/F8MzpaAn0/zp5DHI6adQ8CIc41MVOPXTj+6butLKIwAQBCSM/rr6f9Mj9iw13tr+0y/v2Uo/EyGx3lrRfH5ct1Gzc6O1cMwMTPD32X+74dK87QK7Ls+Px/M565x3THvKbH/3rpsUenfPaPUVeKe6YnJCQlJz0mNAQT7LjUUrP06WlffWXOm+NtA0bAdvLk6bw8Yr2izVGtJ+z47LPyggLUN8NBAVRSwL50T/6SuYDJ7j2FQOR5eTk0y2PZZh6/UB+uRuA7gp4QADDB4XExmelTZauNDjZWz384vODe+Bef98rFSHpCp3SN4ElpUyfGRskOB+kVq677fdL7H6hYpBpw/KQnRACX4gzw+O0UECCACbZERuTkpGGrQIeaa5c/ZZycO/ndt72t7ah6wvHJiVMmJch2ETF01ay18ZtfHPfA/SPb9EZPKEqAEBsTxk+Ps5WW+jYJhaoq2Wp1FZWp0xPaT53CGLuqFqMw9ChX7oU6HTcjJ4vhOEIIRXNiZwUflo48Wd03mBH0hM4jGGNHrx0QwoIjaPX83gNHvHUxkp7Q1h8URbaLgIAy6Y0L03uPHv8hJqGf9IQYYDJtTlwwB2jk7F0TTKReARDgXnvQ6gXdbxxUUVuP9IQ2wVlmvi3XevjouAdGsemlnpAQysAzYWZE+XiCETGM23OyOj3h0IbggbW1Ts2Wg9c5uwdIkXpA1fz9CHrCoSczseEOTs26iqvrCd2CAkjHMNEhiP5Bzvr6T0+oIBAlB1DDBJmJDaNUCbs91xMihmZiwlDz6OMOXuoJKSS394hVTQSPVenn7m54taHXXoZpCMBVFmEQxjBO3colL0RlhAgnLvheT+gKQtgqiGW1BF+lDtc2/tMTEkke/h6LkFByAdvt3rq4qpfhIJIsllYTx+irc66iJzS66wlZlqEoCjG0fLkDNwmWhTeoaMAIGHNy+JiYsesJLfn5jF7v+s2bZ0+hg439QXU2BwAwdnCmeBV9URhZT3jlH0MzNAAglundeyJ05UpvXYykJ3QNCk0BTeEem3Tmcsiyn6poS8Dxk54QAIIWZ7FGHUPTrnOeAIB0bO8/i0NuvU1FbUfVE7IsQ9M0UBSRFfuhitDlo3sZ0BOWZmYqVqtTT3g6M+7iommDJots9oULZ6eGh1+87+WYdX+IefgPKhowMi3/8z9Va9bAmPWEl9avv7Rli3N0VGLp3bekZS6elT9/FgDs+uJAadmF8LDgO2/PD4qZxYdPpxg1S+BH0BM6T8CSFB8TuXzForrf/jeSLNP2fq1iYvfqesK+E+z23FnpualTLv58S2jBnRNe/LHrCc//7Gct77/vHLXuMekKfzYTGfn+5eBYliOCjD/7+c3Nm96WznWlHz5C6b2WCmFBOJWTYz9zxpkpl2KDS1bmDNITCkJ6yqTF82ZeXPOfxtSfJL3z7uhGB1RSzz//HcB3ACXJyWJXp5ue8Pivf7kP4DDALjN3cN+naqVYo+ATPaFstZZMmuRsy+WtW5u62z97Y23nmVc7zvz3J6+vbWpqFOw2rDjGWNWR9IQ2W92XX+wBcL4A8/3H/aIntNtsp5/e+A3AIYA9HP3VR6+p9PEvpCcUL106arEUAhQCtO38yC0oTceO7ul7X+g7v7pVtZ6w88sviwAKAY7odNazZ9y8VL7x6lcAhwC+pdHftz/ticGB2/O4tWvFmhpZECJXr+Ys7pNatVnjx988y8iykDsRq13QMMrtwEd6QtponLB9e8sHHzAGw7j/+I+O3h7XyXq93qDzhVRyZD1he1SQtCwjmDNTiRHNqfGqvYysJ6xPiTb/NCeI5/ns+Dazykb9K+kJubi4idu3d3zzDR8VFbrcfV1XY7il57bseEpPxYbUZ6eo1hMGLV4cv2mTvbY2KDfXODXFrbRpQgS1ZHqw3qikxfTGeLTKbyAJKZ6f8Kc/XfW8YNO45/7NbA6SzldZRb8MAPhQTxiUnz/QrRqsiiK+EhSOrie85fvQEz6t6QkHEXbXXWF3Db9AiQiOkLsXjV1PCACxTz55tSKEIOLxldHx8V3tbeScR0Hx+EEFE2wVMOKIQwE1r4rzCL/oCf2Gpif0Gb7SE47qxUd6wpFxCZlH+fWDnFnS8BmanvAaQNMT/qjR9ITXAloS/qi5hvSEP2IGuqNye3v5smWyzRazbl3EGrUyjx8NyD8yxWG8+O0RCa4ZPeEPjspVq2yVlSELF8a/+OLYrQ0kYd2GDZ0HD1IANY8+GrJ0KeO2axSiCPHxUrWhKGN+7/1QCCGKr17c5oJ4uQn313ZIQjIsh30xtiQ0NhKn2oaQYXZToOixD/ZeC3pCQvwSejcwIT4JSvObb7Z89BECsJ88GVJQYB6suqJoFoveeRnQEza9/rpzlYnc2lqx7oGme1f26wkVjBWhTcf7YVjMBYRgfFyUz6YQ+tDpuOjocIwx8t0rM5Su7s6nngx75EZMMKJppaHh8GfvdtPQrye0dTdPjQkZ7oHLC4TTZ5S/vmF6YQ0hBLGsteTEfmaHiHF/UOydNYZIk7o16K4EXE/IsnRsTCTGmPZn/8JiMoSFBY8xDx2XL1964gnnohwCULNuXeezjw7oCTG2d17KnGzx6jJmAABbrRfXrsWy3P+C+tYPPrrM1bjuT5g6LYnjdAQIIcM+zPsAhFBaapK9uw4AMCa+ykaj0ZCcNEEWexmK9smNEAAaNj9nOF8Rn3ifLDoonrWWllX/5W/coysG9IRhoVFRqbIsA4A6p0SWq++/PyFIFxRiwb0i4vnWD3cqhd+wt+f1S9cmT5pgMpkwxoSo9OKEiYxMvMrLYL8fdDrdtJREydZJ0zTG2Oc3Yifh4aFsfLSiYKQ2KABQ++ijUmNjv8iz58SJus3rB+kJ46JDQiY7f9g99OLV/oQKQhARERIfnaiuASPj6G0Qei4jRMmyMjU5ITwqwidmhfZzDrEHIVqRlZysaUbDWN+XDADWI0csd85X+lRqs6+bjk83T3DTEzpkAEAIXTcrQ40PRREuVEb8cTUWZUKIgdfNnpFutitRbnpCWQEAi8WYNWHq2NsVKITO85KtExAlK8r0jCnBQd4pCT3E3npKdsiIojHBubMy1O2759n+hDIA6HTczBkeBcU7PSEhwDKMQe+X2XoiC0QREc0RQvQ8x/noVVaK1AtEAUQTQkxGPTXmPQ8BAHEcExvePz8eHBbUjK6qJzSrXVBGGfRMdIhz8pqiaXNIkNTbOqx0jaYpoyEA3UhfgeVegmVn6I0GnZ86pa7yUdVB8VxPSCFkMHp0x/d+f0Kap3TBnpj2FoqzUKwJgADBFBcEtG+uKsYQgSjnF0coPsyjXXJGg4iicOLClbUdCGwnq4ZMbfeDaF7lT7rSYxVPXQSKAgRElITTF6+2lA9RLKVT87KcawSGD0OM7krodaGI8ksSMsao/tWiqoPizf6ENM2He2LTUz3h2PcnHBVGH05zZkIUgmVGH0mxRp+Y5czxQDFAMMEyZ4pHyAcBDl250rq3xLnbGdKxvV+eCMrPGawnpOkry9wxZ1HTe0csG3TDIuveY5SeA4rCokM4WhF8Uw4zXFCA4jiz+mXiAYc1xVE074wRa4rpu2n6GM4y8YrGG8vqggL+3p9wFD2hL/YnHBVF7Oqu2UUxJvP4BRTrowcDQmR7U1f133UhKYbIHIrxgYSCyHL5kptk3BT9X2tbn3yr+kDpweXZDMf2jygoijwhIbbg5vn66HmcJVHd20Dk1rZTM7OMSzNC7rupec3Lp2zWM0vTGZc3EMgO+brZ6XlzZutjFzP6yLFvAx44iGxv66r+jLMkGKOuoxiDX3wQRequ6an9pzE6jw+Zimg1qT66ntD7/QlR/3XT+MILVY88AgCm5OSUo0cwx7kNfTMszdCMT7pzI0EwAPL59USI4pPfwH5spaWnpmdhggFg2rff6nJnw+BBY4pCHMfC2Jy2vvW/5ffcTQFwIaGpp0shNNQ9KAzNMP4PyveCz2PkJy9de/acyc8nAKxON63kBD1xolvoaZpiWcbz0HuqJ/z+8M/15PPoGjIyJmzb2nPihCE5OcgXOwoPS/jd/2Y7fVpqaw1dsoSPifWTl2uE7yEDfeJlZD2hmir5aU5GQ0PDQ/4VujEaGj9otCTU0AgwWhJqaAQYLQk1NAKMloQaGgFGS0INjQCjJaGGRoDRklBDI8BoSaihEWC0JNTQCDBaEmpoBBgtCTU0AoyWhBoaAUZLQg2NAKMloYZGgNGSUEMjwGhJqKERYLQk1NAIMFoSamgEGC0JNTQCjJaEGhoBRktCDY0AoyWhhkaA0ZJQQyPAaEmooRFgtCTU0AgwWhJqaAQYT5Ows7PzueeeO3nypF9rAwBvvvnmxYsX/eqioqJi8+bNLS0tfvXy3nvvbdu2TRqy+6rP2blzZ1dXl//sFxcXr1+/fteuXf5zAQBnz5599tln29ra/Oeira1ty5Yt69ev9+tl3NXVtWXLlh07dnj+J54mYVFRUURExOHDhxVFUVU3jygtLf34449bW1v95wIAjh07FhUV9d133/nPRV1dnSAIBoPh1KlT/vMCAB0dHa+88opfU72+vn7BggXZ2dn+cyHL8tGjRxMSEvwaFJPJtGzZsoiICHHIbrs+ZP/+/cnJyW1tbTU1NR7+iadJWFNTs3z5clEUBUFQW73RSU1NvfvuuzEeflNon4AxTk9PnzVrltVq9Z+XyMjIlStXdnZ2Moya7UE9p7i4eOLEiX7dWkuWZbPZHBrqx+247XZ7S0tLZmZmQkKC/7zodLrU1FSTyZSWluY/L3q93m639/T0II/32PQ0CSVJMhgMhBC/ZghN03q9D3bSHQGKotLS0s6ePTtlyhT/eeE4rrOz8/z587GxftxUUBCE9vb27Oxsz+Otgqampvfee++TTz7xnwt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", "info": { "equation": "57+88=145", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
4ca97cf8a5116b2cc12cf0f6fcbf5d5ce0839adeed44817848f1e5425f8c7f0c
48
1,958,805,693
train
2025-09-16T02:27:50.419519
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 1958805693, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'4', 1:'4', 2:'-', 3:'2', 4:'5', 5:'=', 6:'7', 7:'5']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [6, 0, 4, 1])</answer>", "action": "('move', [6, 0, 4, 1])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "44-29=15", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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4fcNSobnZiyB069OzEWy12rDV1v0jxNBMQhSuueJ9i+AminZCelIEmmKSohB3yc+K0LMiEIkZrZv7Cd1uEqpVSVK8qZ/QzQYEuKSoO8ul2SvB9xNiwsRHUEq+xyxDV27mJ+zxthgExGKzVJwmgvsjyRN6VOwBYhcsB6qJzY1fTpLiTTJaCEnMaHmtCEArYyQp9uYndAUh0/5qbDbLfsKbVeilnxAxlOXwWdFg9LBX3fsJCQCrUujGDaIxOKd6WJZBFAKaIjbBsLUictYvvWzODbr7CRmW0U0YTBN3ihQFAIaNe6NmSlCcMcNlSKERhE0axgByyWgh5LhaRHidpGsMvfgJu+TQEAAhRFTo0qUo9uIndOpViqYAACm59g27wh+ZJvsJb4KHfkKWZWiGBgAqRKnfXK4uKOTcXXvvzg0/4anJk1u++cYRlDRAZX7fxtEZlM3udJ8qEY2mRx4dF8sq6ud8qBl8T9raL6X5CWdcWbu2U/FYVnzt/XfRti73OglG46RJY5LDdHWz3lOmZmds+kaKn7B27tyLf/5zp7vvVHqf6gnZtL3LACnYhfEPjMjMTFXFj2VUfZC0S+oNr7zSuHy5o48ogDNJYSem5l/3E95QvK94aE52hip+DKOK89wM6pYLb711buHCzjbWJ4QdnjqI7TppEoym4cNzhw7Orv/VCtwsZu0/SKslOQx+Cn7Ck5MmOY5VCqA1TFX2aL6Ln1C0WNL6J06cPObi63/XbzucVX6AT/UsqdZparI1Nh6MiCgDKAU4UVxss1nM5i5eKZPJuCO1XxnAXoAdPLvhT1L9hPbm5oqkJIfisSFDbBazi6LZbNo5KLsUoByghKW/XL5AoqJoNB7JzHS4+44MHGhtb3NVNJnMJpNgt/ngCnOvKAqlA1IcRrsdWuX6j/7QxU94/Z/dbvWXIiGk6t57SwHKAA5FRZkb6l38hGaTaf+MR0sAHE7ONXMekv2EnlA7d66jV/ey7LU9Zd39hMeXL/vB8VRegM/uy7pmNXhY841Bl42L67d6dfPGjQgg/uWXWVbBsl3CVcCkZuzA4VkxmIBmRFpruFQ/IRMe3n/16itr1yKA2BdeYBV8V0EgADWj0wv7hhBA9ND+l+M8fZBjT1AqVb/Vqy+tWgUAMbNnc5pQiRX2igBwcmzmiJw4TEAzPPVaVCiv8DGz6jkpH3/Mvf02AYicNIlPcPNA0dP5fTMMQ3ia4dPjamQ/oWckvvkmFgRCiDovT1tY1L1AfVof5QN5oSqlIjpMnZOADRbwLEa6zHzCHn447OGHeyqKBUF5d3LsS4/4y08IANoxY7RjxvT06a3wE6qHDRswbJj0ejyE2AVVVkrMhMEYQ9vlq6TaD53WK3xa2s0djEyo7Cf0vkKdrt+nn96kAAUQtXhaTHwCjQA2lXp+pcu70w8/+wk9Ubzz/YQdnYaB2IWA3bTVC7Kf8NaAjVZsMCMvFWU/oYwkZD+hdGQ/oYwkZD+hdOQglJHE7ewnvFOQp6O3FkTTkq48+oR+9+6zv/41APSZOTNm/vxbqnX7+gn9ja2+/tSkSZiQ0OHDkz/6yI81exeEQg+PY7p1BF7Rv9hbWmx6PThuwSEEuaR9roMFExZMDB8pXVE0GGqeecZcXQ0AdS++qB09WpXjujxQ55J4fuH29BOKoujHNhJRPDtnjv7wYQRgPHJEM3p0xPW1kjpBFI27tdoTvAhCiqJS+sYR4sdnvfUCAkhJjidA0B16YRSg4fl5sVkAFA2igFjW9OOPe9RfGgE7+wmz705Vo4uW9jp13EhFWCbFSEok1i9YYKqu7sja2e21Tz99bemLzn5CEWOONnMKqUlXZ243PyEAJMTH8Fy9v8Lw8sqVLdu2deZCz8+fX6cQnP2EIsaG5nOpGRofAsSLIGQYOi8nw2psQlSHqldKPoAQ5OdlmtovOCZ0jmvcdxBXPv20df1X+bOXYYwBACkUzV9vor/dwjw/wdlPqNfWKiIjEMXpG3eyIYlSgrB53bpLq1Y5uzT1hw7Vv/yCs59QxDgnZyDHcaKIkZ96lUtKunlmMvDcfVea/kKTIyQkHqvGgwcbFi92zoVaL16sf+aXLusT9u+XpNPpBEEAAIyx5/HvRRBa26qtxiZAFCFEpeRHFN7yAc/aXmvWX0KIIgQ4jh01YtCtVvQv+p27NGNzUHwEETEQEhKiHD6iQFl51o2f0BGlFGduqtQk3e+zohd+QhEDACZ49D0FAUykBQgsGI1Nxx1TX1EQRxbl8RLuUPfCTygIACCIYuHQHK3GU1eaF0Eo2owEC4jmAICiKLXmlt9+hQUTEW2OB0wghLTSvHaBBzEcEx2KVAqiNwMAQ9O6yFA9vpmfUKqD0Vs/oWQH420KEUWbHiEKAAghWk0IJWGk8dZPSAjRaJR0Tw8Q7IYXKQpGFUUxvGOhZUTRNB/t+ba+wfARFBvSsbQzomil7yu5BwUi2i0nG3GrASgECESz1VRZQ246/ZPqYPTWTyjZwXh7giiOUUVfX6aT0Hw0IN+zcT6sT0jz0Z5fgvJizzh1AsWoAGMADIhWhEp99lmvsKoYmtUQLAAQQIi/0/JLkU89aTlUIzS1I4YBmiJWu+n7yvBHRwbdT3hDURT+I7N2iOY5dRLGNnCsFqgbgCQEYaDWJ/QM0dqqb9iO7abQ5Ak0Hy5ldPFYsU3fuFO0tIQmT2CUUQFQ9C8NC1+59MXq+HdnU2HqK7M/OEnjYxNzgu8ntAsjhw8aUnCXMq6YVScgyn3i5I4GCyZL83Hjpb2axDGK0P4Sn5rniZ/Q5/UJvc8XEQxAAnojMsEEiERzbbAgongsf7D+SCUAKOPiBx6pJBpN9xwaw9IM7bcc2oni4pYdOxAAHxU1sOIQREW5UWRoJoBZu2BBsCBxUOvk3HPPNX78MQKgWTazZCeXPwi6PUaDoimOZbztVe/3L/C/Rd7elH47gWi6/1/WXPxwBQGIftL9+oR+p1c/4U8Hf0UgeOAn9Bl/3jkhIyPjA3fYKZaMzH8echDKyAQZOQhlZIKMHIQyMkFGDkIZmSAjB6GMTJCRg1BGJsjIQSgjE2TkIJSRCTJyEMrIBBk5CGVkgowchDIyQUYOQhmZICMHoYxMkJGDUEYmyMhBKCMTZOQglJEJMnIQysgEGTkIZWSCjByEMjJBRg5CGZkgIwehjEyQkYNQRibIyEEoIxNk5CCUkQkychDKyAQZOQhlZIKMd0F4+vTpJUuWnDx58hbtjVu+/PLLkpKSgMlZLJYPP/xww4YNAVNsaWlZtmzZ2rVrA7wuyFdffVVXVxcYrdra2sWLF7/33nttbW2BUSSEfPLJJ2vWrAmMHAAcOnTotddee+WVVw4fPuzVhl4EIcb4u+++S09P3759uyiK3u2gr5w4cWL9+vWnTp0KjBwA/PjjjxqNpqqq6sqVK4FRLC0tzc7OPnv2bMBCAgAMBsO7777b2toaGLn6+vq0tLSJEyeqVAFanfvgwYMsyxoMhuPHjwdGMSUlZerUqSqVymZzvxZ6T3gRhDabrbm5ecaMGa2trVZ3yzLfClJTU+fPn88wflvgqld0Ot2kSZN4nve2K32muLi4oKCgra0tkM0sKSnJzMykqACdj5hMJp1OFxoaynFcYBQrKysTExMHDRqk1WoDoxgeHp6VlaVSqXJzc73a0LtfQoyx44+A/RIyDKNWqwM5T0tLSxMEAWMcERERGEW1Wl1ZWWmz2aKiArF6IQC0t7c3NTUVFRUhFKClH1tbW7///vsVK1a0tLQERrG5uXnbtm1bt27leU9XzJXO0aNHo6OjvR1ovAhChJBj4KQoKmAjKAAEfgXFTZs2DRs2TKlUBkauoqJi/Pjx6enpDQ0NgVE8dOjQtm3bNm/eXFpaGhjF3NzcpUuXpqamnjhxIjCKHMfNmzdv0KBBlZWVgVEEgKqqqoyMDG+38iKWOI5Tq9X79+9XqVQKhaQVwL2CEBKwH14AOHnyZGNjY35+fsCCf9++fSdOnDAajTQdoMWr8/LyFi1alJWVlZKSEhjFM2fO1NXV2e32gJ0TpqSktLa2GgwGtVodGEWr1drQ0JCenu7thl4EIU3TI0eOXLlyZVFRUSDPXlQqVcDmaQBw5MiRysrKpUuXmkymwCiOGjVq+fLlkZGRycnJgVHU6XQDBw4sKCgImGJ2dvaKFSuMRqO350s+U1xc/Pnnnzc2Ng4ZMiQwiteuXevTp09oaKi3G8rLZcvIBBk5WS8jE2TkIJSRCTL/Dw3I5EvmnPRoAAAAAElFTkSuQmCC", "info": { "equation": "44-29=15", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
4fda398ecd976d0174c00d43be6804def7190295e3b82a7ff1ced7d968399d9d
49
389,151,677
train
2025-09-16T02:27:50.436983
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 389151677, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'7', 1:'5', 2:'+', 3:'7', 4:'7', 5:'=', 6:'7', 7:'5', 8:'3']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [6, 0, 1, 4])</answer>", "action": "('move', [6, 0, 1, 4])", "reward": 0, "image": 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6UINK9a9+Jba20gAIoGnN2uoRaYJFAYQQAM9z327927TJhdyVXaboEfbkSbQlToNEcGSXq3rZs74GUADDvz6sdHRoeA4rOJ5Dhxreest3lbcDJH+2A+7/ubaqhrzwAhYEApC6dKnJFIFJ1FC5/Myv5eZmCgADDDvfiA4ehd5HthqIJFUtfQII8T0dNfrQhcOfftjMIgoTACCEdL79dv7P5iQ+/4Br3dYrq1fFzp/Hpob8BKl05crl55+nAHwqVUuXtq34NYcVRAAAFFmWtn047qV/dCye3viv/4/+9iBZIg74DHfXY2tBkF2ukyUlXEXF1Uu7Pn5CYOibbi6yUwxYTR2flDa//HnB0cNsnxnq4LR+9tnZBQtQ98PBFEAFBexrP50zdypgsm17KRB5+pQimrVg2evMmGVNCNfg25eqJUtq33ijpxOszU8YHMxxp2fN6ti796qx7Qb2Ewan/auvTs+bh+SuSQX9/IRRSYlFRfnYzdNxzuqFL9pHlIz48INQW3tNP6EgA4CCcUZO9qjhWTInIIa+WLwkc+Ufkx9/LHidA18JcUcHf/68f+daXz+hooCHt5XkInaT1NAYahJyx49jjP1VUjB0Kl3nQrPZdFPReMZkIoRQtEloO2eJH4tQhHtZnkOHAixnWvyEQSGiyJ082cvTeAP7CYPDnTiBZbknZPr6CT08IMAeLvr+mR3v7NXQ2mv6CbmuyRtFUWQv7ytz3lXi3n8w+fEB6lTRHaUoxLL+Nhnd/YSY0HFO2mnXYirr0zDs5yYjhIiiZDH7ugdIETv7sZqFTf8mxghroH5UblQ/YXD6Nvs6+AmZ9HhKk7E7mJ8wYEuGZtLiUePAQVFxEcA4wKimu5+QocRLDVJTm4aHJ/oxEAJcox7C2JJB25MmQelrIdPmJwwGIf25DW9QP2FwiCgGHhh6+wkR4o9ewBwXqsQ1VfqDiLJwrFJNpgychExCQtS0aXr4CW19/YQsgxBCVjN/5Lwpaah52NBQVaLmzGGsVv/WOieNomPsPUH1CQEAxpLJkRnxvigAxC1cSPq8E1kJymaLvv12/xPYjewnDE7UrbeaHI7r4yf0hR6ZWc9/lcXeeZeG1l7TT9hdP8syNE0DRRFZ4fadi1s4sMrAAzMA4C0vPzlpku8cEKaf8OzChVR360vnjGkfO6SXn5DjF/9knvP8ldrn/jpqwyfRM2doULm8bNnlVat8g5MiS2/7cX7B7OI5M4oBYOuXu46dvJAQH/OTe+dEpxVbEgqpSPj3AyCieGrKlM6DB1F4fsLgiJcvHy8slFwu9EPwEwan9sUXLy9fjsL2E56/776mjz7yDV12Osyl901E/n5CWU6Mtt/34B2Nyz8Qz7SP3X+ACt3Ec20/YdcGMs+PzR0+e/rES//73+x5N4/824cDV6rSQ3UyQn7CcwsX7gLYBVCxeLHgbyrzejnOu6uosBTgAMBHOYlVdRe1Schu99Hhw33WtSurVzd0uD57Z0nbqbdaT/3fT95e0tBQz3NerEiad0ENTd9+/X0k/ITBqVjxux0/HD9hEGSOi4ifULh8+WBUVClAKUDL5k29nH5eb8Ohg9u7fy/0b4/eqdm0GsxP6PVWvPPWNwD7AL6n0edrfqemQrWn53MR8hNmvPoqFRuLANKfey5gSooAVM/MHZ9pZRgmdtpIzGu8j6Lt9qFr1jR9/DFjsyX/4hetnk7/yXqr1Wa26G5irE+wRcRPGJyLOUk/ID9hEHgKIuInNA0ZMmzNmtbvvrOkpMQtXBRQWp8Q1XnXhEzKSqXH1k7IJUTjE3LB/YQNQxOpuYUxVruSn+ZJU/WUn9okjJyfMHv4O+/0W0QwseZlpTw2m2HYy6VHwvE6Rc+Zc7Vb1fvHvIhuHrNeRM5PGIQflp8wGIIcET8hAMQ/8ED8A/0/oER4KfahW1NvGiuLAnx3Foj2UblgfkIEib+5+4b2EwaHyAp2c5iRoc/P4P3gMPyEIRApP+GAKryI3RyWtZyw1GP4CQ1CwfAT3gD8nfuJDIJj+AlvBIwk/B/NDeQn/B/M9e6Oug8cuPDoowhg+Lvv2ouKrrO6QQA3iJ8wgtS88ELLp59aMjJGffZZ+OsdXIsgfkINqE1CRVHCf8KLSFLVkiWe8nIAuPTEE3k7d4HfLQlFof46R+FCCFGu249KdYMx1mNfAlAUHP5g743gJyTEd4CFi/fIkdqXXsIYu8vLo//855SnnvIvZU0WHIkBv+B+QopmsRCaitokTE9PpumWkKruS8Pate0HDvimpNylpad+/3xtSX6PnxBjEuVgIv4cmdlsSk1NwBijwDEIHYmLjWLaHHrnYWpKghlc4T+DPuh+Qpal09OSMMZ0GD+DQCTp0tKlBGPfEzP1K1bUZSf7+wk5T1tWQmyYeTiAnxBjru1ywYiokE6OapMwL3dE55V2AoSQfm/mB4avqKhZvryX3evFFb3WJwRSPLHQd0RhTCI1oWe323JGDpUFD0PRETkRqiE9LcXmTfDJ6Sc6KmdYR81lQgghYakwSUnZ15i8vT6YzeYxudmit42maYw1Xt4b161r37376nKOLS2XH3+kl58wypmZUaD4VlnV+nVV//rXYn19j0rnkSM1K5f18hMOSY2NHeG7sKtUUZWEWPZ4XBWIojDGiYmxmalaFtNQvz4hkZXROVkJKYkaVPrCu85IQidCtCIrRePH2G2Rf1i0L56mY5gQhAAh9KPicXpIECx5mk8BUBiTqCj7+KGj9VC5PvBt50VvGyBKVpTCcaNiorUsQ6J+fUJMcEnxOG2/NKbKTyjLAGA2mybepCoo6q6ERMGyBwEiBFiGsVk1rban2k9ICLFaTCY2MoNGiugBogCiCSEOu5W6Lr/y5r/8ndOpz1NyhCiix3ejTtOU3TYI3chIgWUPwTKiTYQQu82srVMakp9Qc1DU+wkphGx2VWd8VUckokyMJR4IASAUbaHMMWo+FUBI6xNSpmigI3NUMbZERPm+OEJZ4kEH71Jf/Ja/Q7QlMpf0QBDF2BIBMAAgiqXMkf+xnOsGY4lHjBmAAMGUOQ5RWpIwpPUJNQdFvZ8QEE1bEtTUqS4JaQtrSyVYBoIpxsbatCwtpspPGOn1CQHA5MwEigGCCZZNjkyErscvIJqisrtXGsaal8ILDqIYkyPDFxSgTCZnph4q1wfWMYSiLb4YsY607pNmaAzy+oR+xzBNUQAYEDKrW5FblZ8QALDk8dTtlrwN0cPuoC0aZ2wH9hPqsD4hECJzDe2Vn5tjc21JRRSju4UCAAiWhLYKd813zszZpqhsROkyH4tlzttwUGg7Fz3sDsaapN+0mP4QmWtpr/zMFJVlT/kRxdi01TKAn1Df9Qm7NpBleVz+yDm33mxJvdXkSFfT81KbhADg6y1AeFeSikWLGrZsAYCUxYsz3/sr7tMdNZkYimYi/qsThCjX5xrYSxQr2npWoakMxq7pQfg7ItbUHMvLEzs6AGD05k22efOg90g+opDJxIap0r59+6k5cwgAazaPOXqEHjYsQIWmKZZl1GdKSGdoFGYGQlA/oa4MymF6HTIQBmnX9CD8HQnuJ4wUwf2EGgjpSmhgYBB5jAe4DQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGbVJ2NbW9vLLL5eXl+vaGgB49913L126pKvEuXPnVq5c2dTUpKvK+vXrX3/9dVEMXMA14mzevLm9vV2/+svKypYtW7Z161b9JADg9OnTK1asaGlp0U+ipaVl1apVy5Yt0/Uwbm9vX7Vq1YYNG9R/RG0S7tmzJzExcf/+/YqiaGqbKo4dO7Zly5bm5mb9JADg0KFDKSkpu3fv1k+ipqaG53mbzXb8+HH9VACgtbV17dq1uqZ6bW3tzJkzJ0yYoJ+ELMsHDx7MysrSNSgOh2P+/PmJiYlCn9V2I8jOnTtzcnJaWlqqqqpUfkRtElZVVS1cuFAQBJ7ntTZvYPLy8h566CGM+1tDO0JgjMeOHVtcXOx2u/VTSUpKuvvuu9va2hhGl+VBeygrKxs2bJiuS2vJsux0OuPidFyOm+O4pqamgoKCrKws/VTMZnNeXp7D4cjPz9dPxWq1chzX2dmJVK/ZqjYJRVG02WyEEF0zhKZpq1XflXQpisrPzz99+vSoUaP0UzGZTG1tbefPn09PT9dPhed5l8s1YcIE9fHWQENDw/r16z/55BP9JAghJ0+e3LBhg67XKACor6+3WCw2m8aVgNWQnp7+ySef1NbWJiYmqvyI2iRkGEYQBISQrvEGgOuwXqLL5aquri4oKNBPoq6uzul0Llq06Pz58/qpVFRUbN269YsvvtC10ztt2rSXX365srJSv9AoijJ27NgnnniirKxMJwkflZWVaWlpukqUl5cvX758+vTpNTU1Kj+iNgmTkpL279/PMIzFYtHaPFVgjPXOw23btuXn5+vaUWxsbNyxY0dra6uuKtnZ2c8++2x+fn5qaqp+KmfPnq2pqbFarfqdf00mU3x8fF1dncPh0EnCx9mzZ3XtAQGA1WptbGx0uVwUpTa51G43ZcqUTZs25ebm6n2TExMTY7fb9asfY1xeXv7ee++Vlpbqp5Kfn3/48OFz584VFhbqp2K323NzcydOnKi+56OBjIyMlStXTpo0ST8Ju92ekJCwdu3aW265RT8VWZbNZrOuNwgAMHXq1M2bN3Mcl52drfIjxnLZBgaDjDFZb2AwyBhJaGAwyPw30f/0wbRXijgAAAAASUVORK5CYII=", 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6UINK9a9+Jba20gAIoGnN2uoRaYJFAYQQAM9z327927TJhdyVXaboEfbkSbQlToNEcGSXq3rZs74GUADDvz6sdHRoeA4rOJ5Dhxreest3lbcDJH+2A+7/ubaqhrzwAhYEApC6dKnJFIFJ1FC5/Myv5eZmCgADDDvfiA4ehd5HthqIJFUtfQII8T0dNfrQhcOfftjMIgoTACCEdL79dv7P5iQ+/4Br3dYrq1fFzp/Hpob8BKl05crl55+nAHwqVUuXtq34NYcVRAAAFFmWtn047qV/dCye3viv/4/+9iBZIg74DHfXY2tBkF2ukyUlXEXF1Uu7Pn5CYOibbi6yUwxYTR2flDa//HnB0cNsnxnq4LR+9tnZBQtQ98PBFEAFBexrP50zdypgsm17KRB5+pQimrVg2evMmGVNCNfg25eqJUtq33ijpxOszU8YHMxxp2fN6ti796qx7Qb2Ewan/auvTs+bh+SuSQX9/IRRSYlFRfnYzdNxzuqFL9pHlIz48INQW3tNP6EgA4CCcUZO9qjhWTInIIa+WLwkc+Ufkx9/LHidA18JcUcHf/68f+daXz+hooCHt5XkInaT1NAYahJyx49jjP1VUjB0Kl3nQrPZdFPReMZkIoRQtEloO2eJH4tQhHtZnkOHAixnWvyEQSGiyJ082cvTeAP7CYPDnTiBZbknZPr6CT08IMAeLvr+mR3v7NXQ2mv6CbmuyRtFUWQv7ytz3lXi3n8w+fEB6lTRHaUoxLL+Nhnd/YSY0HFO2mnXYirr0zDs5yYjhIiiZDH7ugdIETv7sZqFTf8mxghroH5UblQ/YXD6Nvs6+AmZ9HhKk7E7mJ8wYEuGZtLiUePAQVFxEcA4wKimu5+QocRLDVJTm4aHJ/oxEAJcox7C2JJB25MmQelrIdPmJwwGIf25DW9QP2FwiCgGHhh6+wkR4o9ewBwXqsQ1VfqDiLJwrFJNpgychExCQtS0aXr4CW19/YQsgxBCVjN/5Lwpaah52NBQVaLmzGGsVv/WOieNomPsPUH1CQEAxpLJkRnxvigAxC1cSPq8E1kJymaLvv12/xPYjewnDE7UrbeaHI7r4yf0hR6ZWc9/lcXeeZeG1l7TT9hdP8syNE0DRRFZ4fadi1s4sMrAAzMA4C0vPzlpku8cEKaf8OzChVR360vnjGkfO6SXn5DjF/9knvP8ldrn/jpqwyfRM2doULm8bNnlVat8g5MiS2/7cX7B7OI5M4oBYOuXu46dvJAQH/OTe+dEpxVbEgqpSPj3AyCieGrKlM6DB1F4fsLgiJcvHy8slFwu9EPwEwan9sUXLy9fjsL2E56/776mjz7yDV12Osyl901E/n5CWU6Mtt/34B2Nyz8Qz7SP3X+ACt3Ec20/YdcGMs+PzR0+e/rES//73+x5N4/824cDV6rSQ3UyQn7CcwsX7gLYBVCxeLHgbyrzejnOu6uosBTgAMBHOYlVdRe1Schu99Hhw33WtSurVzd0uD57Z0nbqbdaT/3fT95e0tBQz3NerEiad0ENTd9+/X0k/ITBqVjxux0/HD9hEGSOi4ifULh8+WBUVClAKUDL5k29nH5eb8Ohg9u7fy/0b4/eqdm0GsxP6PVWvPPWNwD7AL6n0edrfqemQrWn53MR8hNmvPoqFRuLANKfey5gSooAVM/MHZ9pZRgmdtpIzGu8j6Lt9qFr1jR9/DFjsyX/4hetnk7/yXqr1Wa26G5irE+wRcRPGJyLOUk/ID9hEHgKIuInNA0ZMmzNmtbvvrOkpMQtXBRQWp8Q1XnXhEzKSqXH1k7IJUTjE3LB/YQNQxOpuYUxVruSn+ZJU/WUn9okjJyfMHv4O+/0W0QwseZlpTw2m2HYy6VHwvE6Rc+Zc7Vb1fvHvIhuHrNeRM5PGIQflp8wGIIcET8hAMQ/8ED8A/0/oER4KfahW1NvGiuLAnx3Foj2UblgfkIEib+5+4b2EwaHyAp2c5iRoc/P4P3gMPyEIRApP+GAKryI3RyWtZyw1GP4CQ1CwfAT3gD8nfuJDIJj+AlvBIwk/B/NDeQn/B/M9e6Oug8cuPDoowhg+Lvv2ouKrrO6QQA3iJ8wgtS88ELLp59aMjJGffZZ+OsdXIsgfkINqE1CRVHCf8KLSFLVkiWe8nIAuPTEE3k7d4HfLQlFof46R+FCCFGu249KdYMx1mNfAlAUHP5g743gJyTEd4CFi/fIkdqXXsIYu8vLo//855SnnvIvZU0WHIkBv+B+QopmsRCaitokTE9PpumWkKruS8Pate0HDvimpNylpad+/3xtSX6PnxBjEuVgIv4cmdlsSk1NwBijwDEIHYmLjWLaHHrnYWpKghlc4T+DPuh+Qpal09OSMMZ0GD+DQCTp0tKlBGPfEzP1K1bUZSf7+wk5T1tWQmyYeTiAnxBjru1ywYiokE6OapMwL3dE55V2AoSQfm/mB4avqKhZvryX3evFFb3WJwRSPLHQd0RhTCI1oWe323JGDpUFD0PRETkRqiE9LcXmTfDJ6Sc6KmdYR81lQgghYakwSUnZ15i8vT6YzeYxudmit42maYw1Xt4b161r37376nKOLS2XH3+kl58wypmZUaD4VlnV+nVV//rXYn19j0rnkSM1K5f18hMOSY2NHeG7sKtUUZWEWPZ4XBWIojDGiYmxmalaFtNQvz4hkZXROVkJKYkaVPrCu85IQidCtCIrRePH2G2Rf1i0L56mY5gQhAAh9KPicXpIECx5mk8BUBiTqCj7+KGj9VC5PvBt50VvGyBKVpTCcaNiorUsQ6J+fUJMcEnxOG2/NKbKTyjLAGA2mybepCoo6q6ERMGyBwEiBFiGsVk1rban2k9ICLFaTCY2MoNGiugBogCiCSEOu5W6Lr/y5r/8ndOpz1NyhCiix3ejTtOU3TYI3chIgWUPwTKiTYQQu82srVMakp9Qc1DU+wkphGx2VWd8VUckokyMJR4IASAUbaHMMWo+FUBI6xNSpmigI3NUMbZERPm+OEJZ4kEH71Jf/Ja/Q7QlMpf0QBDF2BIBMAAgiqXMkf+xnOsGY4lHjBmAAMGUOQ5RWpIwpPUJNQdFvZ8QEE1bEtTUqS4JaQtrSyVYBoIpxsbatCwtpspPGOn1CQHA5MwEigGCCZZNjkyErscvIJqisrtXGsaal8ILDqIYkyPDFxSgTCZnph4q1wfWMYSiLb4YsY607pNmaAzy+oR+xzBNUQAYEDKrW5FblZ8QALDk8dTtlrwN0cPuoC0aZ2wH9hPqsD4hECJzDe2Vn5tjc21JRRSju4UCAAiWhLYKd813zszZpqhsROkyH4tlzttwUGg7Fz3sDsaapN+0mP4QmWtpr/zMFJVlT/kRxdi01TKAn1Df9Qm7NpBleVz+yDm33mxJvdXkSFfT81KbhADg6y1AeFeSikWLGrZsAYCUxYsz3/sr7tMdNZkYimYi/qsThCjX5xrYSxQr2npWoakMxq7pQfg7ItbUHMvLEzs6AGD05k22efOg90g+opDJxIap0r59+6k5cwgAazaPOXqEHjYsQIWmKZZl1GdKSGdoFGYGQlA/oa4MymF6HTIQBmnX9CD8HQnuJ4wUwf2EGgjpSmhgYBB5jAe4DQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGSMJDQwGGbVJ2NbW9vLLL5eXl+vaGgB49913L126pKvEuXPnVq5c2dTUpKvK+vXrX3/9dVEMXMA14mzevLm9vV2/+svKypYtW7Z161b9JADg9OnTK1asaGlp0U+ipaVl1apVy5Yt0/Uwbm9vX7Vq1YYNG9R/RG0S7tmzJzExcf/+/YqiaGqbKo4dO7Zly5bm5mb9JADg0KFDKSkpu3fv1k+ipqaG53mbzXb8+HH9VACgtbV17dq1uqZ6bW3tzJkzJ0yYoJ+ELMsHDx7MysrSNSgOh2P+/PmJiYlCn9V2I8jOnTtzcnJaWlqqqqpUfkRtElZVVS1cuFAQBJ7ntTZvYPLy8h566CGM+1tDO0JgjMeOHVtcXOx2u/VTSUpKuvvuu9va2hhGl+VBeygrKxs2bJiuS2vJsux0OuPidFyOm+O4pqamgoKCrKws/VTMZnNeXp7D4cjPz9dPxWq1chzX2dmJVK/ZqjYJRVG02WyEEF0zhKZpq1XflXQpisrPzz99+vSoUaP0UzGZTG1tbefPn09PT9dPhed5l8s1YcIE9fHWQENDw/r16z/55BP9JAghJ0+e3LBhg67XKACor6+3WCw2m8aVgNWQnp7+ySef1NbWJiYmqvyI2iRkGEYQBISQrvEGgOuwXqLL5aquri4oKNBPoq6uzul0Llq06Pz58/qpVFRUbN269YsvvtC10ztt2rSXX365srJSv9AoijJ27NgnnniirKxMJwkflZWVaWlpukqUl5cvX758+vTpNTU1Kj+iNgmTkpL279/PMIzFYtHaPFVgjPXOw23btuXn5+vaUWxsbNyxY0dra6uuKtnZ2c8++2x+fn5qaqp+KmfPnq2pqbFarfqdf00mU3x8fF1dncPh0EnCx9mzZ3XtAQGA1WptbGx0uVwUpTa51G43ZcqUTZs25ebm6n2TExMTY7fb9asfY1xeXv7ee++Vlpbqp5Kfn3/48OFz584VFhbqp2K323NzcydOnKi+56OBjIyMlStXTpo0ST8Ju92ekJCwdu3aW265RT8VWZbNZrOuNwgAMHXq1M2bN3Mcl52drfIjxnLZBgaDjDFZb2AwyBhJaGAwyPw30f/0wbRXijgAAAAASUVORK5CYII=", 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", "info": { "equation": "76+77=153", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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jdu1aCsDrpXr16o4Xf+nGEiIAAJIoCgfenfTCP1tWzm7+97/Rn54gq/gR53D3TFsbBtFurygqcldW3ny0q6MnBIa+/Y5CM8WAUde1p7j1pffzzpxiB4xQD0/7vn2Xli5FuCexKYBKCthXvrtw0UzA5MDBYiDi7BmFNGvAosuaOs8YG6zAdyDVq1bVv/pqXyNYmZ5weLDbfWHevK6jR28K2zQ94Uh6Qlt8XGFhDnZ46GhrzbLnzeOKxr37TqC1HVJPyIkAIGGcmpkxYWy66OYQQ1+buipt/R8TnnxieJsjPwlxV5fnyhXfxrW6ekJJAqfHVJSF2J1CU3OgSeg+exZj7OslEUO31HMv1Ot1txdOZnQ6QghF67iOy4aYXIRC3MpynjzpJzlToiccFsLz7oqKfppGTU8oR0/o9AAC7HRHPDS3682jCmo7pJ7Q3TN4I0mS6PJ4y6z3FTmOn0h4cgSbMpqjFIVY1lcmo7qeEBM62kpbzUpEZQMqhn3UZIQQnhcMem/zAEl89yBSs6AZXMQYYh9oEC+anrA/w+gJmZQYSpGwezg9od+eDM0kx6DmkYMi4yGAsZ9QTXU9IUPx15uElg4FkycGERACDGGHMKYEUDbTZFgGSsiU6QmHg5DB1IaantDPzhB6QoQ8Z65itztQF0N6GQzCi1x5lZxMGTkJmdhY26xZt0hPyDIIIWTUe05f0cWP1o8ZHagX28KFjNHoW1vrtAl0pLkvqF5HAICxoLOkhbwtCgDRy5aRAZ+E1gVlMkXcfbfvDUzTE8rRE3pDj/Ss839Ko+69T0Fth9QT9tpnWYamaaAoIkruY5ejl43sZeSOGQBwlZVVTJvmvQeoqyd0e1Z+Z7H1yo36X//nhG17IubOUeClds2a2g0bvJ2TPEsf+HZO3oKpC+dMBYD9H35RXnE1NibyOw8sjEieaojNp0Kh3/eD8Pz5GTO6T5xAwekJh4evrT2bny/Y7UjTE/Zy5cEHW957z9t12W3RFz84BfnqCUUxLsL84CP3NK97h7/YmXv8SypwEc/QesKeHUSPJzdr7ILZU65//z/M2XeM/8e7IxuVqaGquAV6Qrfri8L8YoAvAd7LjKtuuKbMhehwnBk71quNvLFxY1OXfd+bqzrOv9Z+/v/ueWNVU1Ojx+3CkqD4FOTQ8unHn4dCTzg8lS/+9pCmJ/SBq609YbMVAxQDtO3a2U/p53I1nTxxsPf3Qv/xw3sVi1aH0xO6XJVvvvYJwDGAz2n0/ubfyjEo9/Z8WX09IQGomZs1Oc3IMEzUrPHYo/A9ijabR2/e3LJ9O2MyJfzkJ+3Obt/BeqPRpDeoLmJsjDWFRE84PNcy4zU9oS+6UaPGbN7c/tlnhsTE6GXL/UobY23d9xWkUUYqJaq+IIsQhTPkhtcTNo2OoxblRxrNUk6yM1nWLD+5SXgL9IQEE2N2euITCxiGrS0+HYzWKWLhwpvNKtzPDlFNY9aP0OkJh0HTEw4k5uGHYx4efIIS8QhRj85Puj1X5Dn47BIQ5b1yw+kJEcT9asXXWE9IRAk73JgR/TLn64imJwyAUOkJR/Ti4bHDjUUlNyz5aHpCjUDQ9IRfAb7heiKN4dH0hF8FtCT8X81XSE/4v5hb3hz9pmt5v158RfSEIaTuuefa9u41pKZO2Lcv+PUOhmIYPaEC5CahJEnBz/AiPM/b7YB69CNM/6FSikKDNY6ChRAi3bIfleoFY6zGufghSTj4zt6vgp6QEO8FFiyu06frX3gBY+woK4v4858Tn3nGt5TVGXAoOvyG1xNSNIu5wLzITcKUlASabgvI9EBubPw/EdWXKf1kkAiFqKr9e65nnoPeDMGY2CxMyOeR6fW6pKRYjDHy74NQkegoG9NhUTsPkxJj9WAPfg562PWELEunJMdjjOkgfgaBCML11asJxt4ZM40vvtiQkeCrJ3Q7O9Jjo4LMwxH0hBi7O2rzxtkCujnKTcLsrHHdNzoJEEIGfZkfGU9lZe0Lv8t75XveTcLQNWvW2p5axGQk9qxPCGTqlHzvFYUxCdWAntlsyhw/WuScDEWH5EYoh5TkRJMr1utOPacTMsd01dUSQggJygsTH5/x5pshrFig6PX627IyeFcHTdMYK3y8N7/+eueRIzeXc2xrq33y8X56Qps1LTVP8q6yqvTrqvnlL/nGxj4v3adP161f009POCopKmqc98Eu04usJMSi02mvRBSFMY6Li0pLUrKYBl9VTcfo2IJxhBclgDFjRulSktKzs00zc/zWJySiNDEzPTYxToGXgXjsFwWuGyFaEqXCybeZTaGfLDoQZ0s5JgQhQAh9a+okNVwQLDhbzwNQGBObzTx59EQ1vNwaPB1XeFcHIEqUpPxJEyIjlCxDIn99Qkxw0dRJynonZOkJRREA9HrdlNtlBUXek5BIWHQiQIQAyzAmo6LRekQxNjNtM2EnRxAYzUad2cAJIj1AT0gIMRp0OjY0nUYS7wQiAaIJIRazkbolPUO+y99ZrerMkiNE4p3eF3WapsymMDQjQwUWnQSLiNYRQswmvbJGaUB6QsVBka8npBAymWXd8WVdkYjSMYYYIASAULSB0kfKOWoAmL/RLjS0AUMBTfF1rUJTx+CvMwRTugigQ3NVMaY4RHm/OEIZYkAF7dJAfJa/Q7QhNI90fxDFmOIAMAAgiqX0of+xnFsGY4hBjB6AAMGUPhpRSpIwoPUJFQdFvp4QEE0bYuXYlJeEtIE1JREsAsEUY2JNSpYWM07KpXWR3MUapGeRnuUu1NIsbc4drer6hACgs6YBxQDBBIs6SxpCt+IXEHW2jN6VhrHipfCGB1GMzpLqDQpQOp01TQ0vtwbWMoqiDd4YsZbk3ptmYIR5fUKfa5imKAAMCOnlrcgtS08IAFhwOhuOCK6miDH30AaFI7b23buvrvpByp9/TETc9LM3DmfHd+apvj4hECK6mzqr3tdHZZniCylGdQkFABAscB2VjrrPrGkLdLYMRKkyHotFt6vpBNdxOWLMPYwxXr1hMfUhoruts2qfzpZuTvwWxZiUWRlBT6ju+oQ9O4iiOCln/ML5dxiS5ussKXJaXnKTEAC8rQUI7kly+d77WvbtBYD45SvSt76DRf/uI52OoWgm5L86QYh0a56B/ZxiSVnLKjAv4Tg1NQj+RPi6uvLsbL6rCwAm7tppWrwY+vfkIwrpdGyQXjoPHjy/cCEBYPX6286cpseM8fNC0xTLMvIzJaA7NAoyAwEg7U+v0LGxCCBl7a91rB5u1U8TheUyvQUZCGE6NTUI/kSG1xOGiuH1hAoI6EmooaERerSZnBoaYUZLQg2NMKMloYZGmNGSUEMjzGhJqKERZrQk1NAIM1oSamiEGS0JNTTCjJaEGhphRktCDY0woyWhhkaY0ZJQQyPMaEmooRFmtCTU0AgzWhJqaIQZLQk1NMKMloQaGmFGS0INjTCjJaGGRpjRklBDI8xoSaihEWa0JNTQCDNaEmpohBktCTU0woyWhBoaYUZLQg2NMKMloYZGmJGbhB0dHS+99FJZWZmqtQGAt9566/r166q6uHz58vr161taWlT1snXr1k2bNvG8/wKuIWfXrl2dnZ3q2S8tLV2zZs3+/fvVcwEAFy5cePHFF9va2tRz0dbWtmHDhjVr1qh6GXd2dm7YsGHbtm3yD5GbhCUlJXFxccePH5ckSVHdZFFeXr579+7W1lb1XADAyZMnExMTjxw5op6Luro6j8djMpnOnj2rnhcAaG9v37Jli6qpXl9fP3fu3IKCAvVciKJ44sSJ9PR0VYNisViWLFkSFxfHDVhtN4QcPnw4MzOzra2turpa5iFyk7C6unrZsmUcx3k8HqXVG5ns7OxHH30UY/9FC0MIxjg3N3fq1KkOh0M9L/Hx8StWrOjo6GAYVZYH7aO0tHTMmDGqLq0liqLVao2OVnE5brfb3dLSkpeXl56erp4XvV6fnZ1tsVhycnLU82I0Gt1ud3d3N5K9ZqvcJOR53mQyEUJUzRCapo1GdVfSpSgqJyfnwoULEyZMUM+LTqfr6Oi4cuVKSkqKel48Ho/dbi8oKJAfbwU0NTVt3bp1z5496rkghFRUVGzbtk3VZxQANDY2GgwGk0nhSsBySElJ2bNnT319fVxcnMxD5CYhwzAcxyGEVI03ANyC9RLtdntNTU1eXp56LhoaGqxW6/Lly69cuaKel8rKyv3793/wwQeqNnpnzZr10ksvVVVVqRcaSZJyc3Ofeuqp0tJSlVx4qaqqSk5OVtVFWVnZunXrZs+eXVdXJ/MQuUkYHx9//PhxhmEMBoPS6skCY6x2Hh44cCAnJ0fVhmJzc/OhQ4fa29tV9ZKRkfHss8/m5OQkJSWp5+XSpUt1dXVGo1G9+69Op4uJiWloaLBYLCq58HLp0iVVW0AAYDQam5ub7XY7RclNLrn7zZgxY+fOnVlZWWq/5ERGRprNZvXsY4zLysrefvvt4uJi9bzk5OScOnXq8uXL+fn56nkxm81ZWVlTpkyR3/JRQGpq6vr166dNm6aeC7PZHBsbu2XLljvvvFM9L6Io6vV6VV8QAGDmzJm7du1yu90ZGRkyD9GWy9bQCDPaYL2GRpjRklBDI8z8fwb13O506qtGAAAAAElFTkSuQmCC", "info": { "equation": "76+77=153", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
93a7c348890c10dfc1e457dfe55a086dbf9e888d816190b22a9bffb4e2595456
50
3,372,305,070
train
2025-09-16T02:27:50.453954
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 3372305070, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'4', 1:'-', 2:'1', 3:'5', 4:'*', 5:'1', 6:'=', 7:'1', 8:'8']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [8, 4, 1, 7])</answer>", "action": "('move', [8, 4, 1, 7])", "reward": 0, "image": 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b4dGIge6TN8wnFAnpzJLyhFJs5NkQi4q2e+/kNAogyDLuIw0PEdlByfCvy/FLPiEbEyrpeq6rUAHmzPqgFEfdUQazLS2tyWl3xMQlDd1sP2j5hN7Y6c4n7LEny7DRIah+4AW9N84nlPrSAEZyc4dwuY6SQU+nUlnuIzmtz0UYlLD6IMT6fDUm3IR8QkpdJy+p89ID2dngajyFMEsI3Zd/7HjBV+eKC4duth+0fEJv7Nyo6qkoC8Vl3mTe9pFPSAE4Ex+Qm84AdGXHcRyLMUYsI19tIXWugHvuHmz0htRUY3LydclpSVGm1FgWkGcaHkJAicwawjGnZl11/9zEfEKWYRkAQBxr//vJ4CVeDVX3j2SvJooTIWy3O3meX/LAjItnh6GV2w9aPmGfdvrOJ/RQCsMwgDGVFefh0uBFDw5oszufsDgzU7HZEAADcDpzVPms8Vi8No0DIDuc99wzLS00tPyx30avejb6GTX5hM3/938lixbha9EXzBnfljEKeXihhC5bcs+oxEnGqFzM+WQJyHDlE56fPbt1/34MgAGagk2Hlk31zCckohgXHb5o8ayqp/4HiQHj/74PcUMafKdEarv0hexs5HS6vfsLBVGafXf21ve+XvninywBQUOx3D9aPmEPbpxP2LmD7HJlpCbNnjG1/Me/MqXdPubPH3kR3DVqNm8+AHAA4LuUFKGt1el0OB3dfyeefDwfoBBgh0V3KP+vqt/ZWLpo0bcA3wJcWLZMEFyeLtx/iixSSlTbHxBnfV2+yXgIoBDgwwducxBZnR1HcfFhjnO/qbU1P9/pcnqeRdWeXV8DuN9u+slzjw9D2I1n6r/7beOpLdXHf//yypllB3/VXvL2J7/7/pefbhm68f45Pv/eAwCFAF/EBZw9d0ydEaWj40RCwkGAAoALS5f2uY/kbFJk5xAiHYC2U0X/AHC/MvSjJxeqvshqtn/xD4BDAAc45rP1q3tU/YW339oLcBjgHwz68s2XvTHYfXuOWLlSqKiQXa7whx/WBfQclqycFBu7INvEcZAzpHzC2Ndfx0FBCCDm+ed1N32yCIYvn9CQkZHwm990nDxpHDMmsNfLPpojA8W8CVadBSeG1afF9WlhUMiuegDMMLimpj4pITI4OFASpeypE/YfvUyBoiEuwOsXLZ+wB/3nE9YlhOF5E60Gk5IebY/2qpHSLULM8wl/+MMN97OaIzYOQz4hn5iY9Pbbqg8fBoYrnxAgYsWKG871SkrIivuj0lIEh50eqlXtwo3YUelqPoMxK0nSnr2H5y1+ktJ2SiWz2dJU9ffC/B05M/KG6KIftHzCHgyQT4gg7LklavMJ+0fLJxwkxOlOKhuGbEPZ1USJjFne1tqWmJY7KXexvbZArD/O6fRz78m5XHNp6C76Q8sn7IWWT/ivBVEEV2MRQizGaH/+EYs1GgAYPhgAiEKDQ4IvFO+tq6n0d5j9oeUT9o8mwhGNIrTYqvYrYgfCjN3u6BAts/IeBQDeOlYXEE+IbDDwDy+aWX1+t3sAc2QyuHxCPvRfLZ9QE+GIRrJVuZrPIswyDHP+/MVRSRP0vAEAAGHOFEupQgjleUNiNEdH8NPDnU/oOd9onprCjwrznF5jWQYAfJ1PODL517rlDC/lK1a0FRSYMjKSr72Td3ihlLhaSjCjAwAE1CHApDu7X+WktyY7G05SRaAISaJNaCnlQ0boNPoIySccLpDHeo9hwVsRKoqicixphEEpVdQOMHjStmdP7ZtvAoC9qCho/vyQhx7yLGU5HemzuTU4qCJ2uH92UXTNnLvUMiq9qwwzBs8dFdk+ZHd9oyjD8IwdCfmEhNLhqBRw1dZy2C1D2nu5FWY4IgzOi7fnHBMTwTBNgzI9MuF5fWRkCCEEqZskAgAAxWarWLMGXUtOq1q79pIZPPMJHe3146KDCBniHRNxxgix/TIAIMzoenzTAiHGECrbrgAwCOtYftDrfrwkdlTkUCZyuvBvPiEABJiNISHWIepQqqlxvvF6yMbvE0IRw7lKzxZ89bED0c58QkKcrVcykwMGNfburQjTUpM7rrZRoJTSIV9b/sRsMY9JipclJ8swquujdtMm29mz3W8Eraio+M+fXZdPGBIcGZkmyzIAqPaCENYFxLtaSzCDEWK4gPjrSjGrM8dK7WUII2B4nWUYlgT0SUZ6ir2pFK4trlJtx5SdnZydPXxxDZrQ0GAuLkpRCBpCpVSseTrCZQ+PDFPsLqTXte7bT3fs1j0xtzufcFRUUFCyu/ngpRevREhku735AsKYEBIWFhQXpeYLJyMEV/M5SbQjxCiKMnVyGs+ruSV7/31ChNBt2RNUR6sPTDJF3uZqLApIyMO9hiv44FQi2YTW0sDReWgI79vvB8XV5GyrRJhRFBIXF22NH/7XHdw0nI2nZElGmCGU5GRPUPfaKntxkfXJe4gsAwDDMLdNm6g7fmlUj3xCWQYAvV43dYpXL23w7klIFSLbESBKgWNZo+EWHrxSxA6gCiCGUmo281hVVQwqn9BiUf+tbMTwpsgcY8TUPjWGWYM5Zrop+g4fKRAAqCJS2QWYpZTyepbX35LfpXSjiB1d7WrVlYL1ejYmxG0GIRQYEthO+84nxAgZTV4tEPfqEkRYx/IhQCkAxQyP9dbBBT6SYI3hCLuvJIr1oepGmwb1fUKGD1Ph4joT/WrMdwoEAMyZsC4AKAGgiDMjH+SX3TRYU2TXalHVlUKcTtd3lzvtKMRRVHbDpXyIYbzrqHsnQobnjFGUyEAJZo2cMcrbkEceOks8QgwAJUTSmeOQqlce3oTvE44QsC6ANYRQIlOisDoro/dh2pSv0QWMdj8JKZFVV0rQ/Q/Ydh9FPAcAgJAz/5T13qk9JjwZjAEIIKQPSPDGJvKyq00ku73mgOSoCxy9gOFv4ZoASiTH1fayL/nQCYbQSVhV/v6A+YRD/z7hyEER2zuu/B2IbImfy+iG+a0/NxNKFbG9oqPyb6aoXD5oHGLU9KqIw3n6tmxuvDX8+e/Xr3iz5HL1yYWTGPDIJ5TlCelj5sy6nY+apTPHePNiW29F6D4LoGQoH9wbOVCqDLEV5zx1qnjyZEWSMEBqfr5+Wvawf59wBOFeE6f2RckjiqFXfevuPefunQsADMulFX/HJCb2qHqGwRzHel/1gxKhxnXU/fGP7nzC6P/6L3/HonFTqX75ZWdFReBtt4X95CdDt6aJUEPDz/wzNDA0NG5pNBFqaPgZTYQaGn5GE6GGhp/RRKih4Wc0EWpo+BlNhBoafkYToYaGn9FEqKHhZzQRamj4GU2EGhp+RhOhhoaf0USooeFnNBFqaPgZTYQaGn5GE6GGhp/RRKih4Wc0EWpo+BlNhBoafkYToYaGn9FEqKHhZzQRamj4GU2EGhp+RhOhhoaf0USooeFnNBFqaPgZTYQaGn7GWxG2trZu3LixqKjIp9EAwDvvvFNeXu5TF6WlpRs2bGhoaPCpl48//vj3v/+9KPb8gOuw8/nnn7e1tfnO/rFjx9auXbtjxw7fuQCAc+fOrV+/vqmpyXcumpqaNm3atHbtWp9exm1tbZs2bdq2bZv3h3grwoMHD4aFhRUWFirKDb5LOhwUFxd/8cUXjY2NvnMBAMePH4+MjDxw4IDvXFRVVblcLqPReOrUKd95AYCWlpYtW7b4VOrV1dV33XVXVlaW71zIsnz06NH4+HifVorZbM7LywsLCxN6fWh5GPnmm29SUlKampoqKiq8PMRbEVZUVCxatEgQBJfLpTa8gUlLS1u+fDkhxHcuCCEZGRnZ2dk2m813XsLDw5csWdLa2sqyvv086LFjx0aPHu3TT2vJsmyxWIKDg33nwul0NjQ0ZGZmxsfH+86LXq9PS0szm83p6em+82IwGJxOZ0dHB0LefondWxGKomg0GimlPlUIwzAGg8F39gEAY5yenn7u3LmxY8f6zotOp2ttbb148WJMTIzvvLhcrubm5qysLO/rWwV1dXUff/zx9u3bfeeCUnrmzJlt27b59BkFALW1tTzPG41G37mIiYnZvn17dXV1WFiYl4d4K0KWZQVBQAj5tL4B4CZ8L7G5ubmysjIzM9N3LmpqaiwWy+LFiy9evOg7LxcuXNixY8fOnTt92uidPn36xo0by8rKfFc1iqJkZGSsXr362LFjPnLhpqysLDo62qcuioqKXnrppRkzZlRVVXl5iLciDA8PLywsZFmW59V85N17CCG+1uHu3bvT09N92lCsr6/Pz89vaWnxqZfExMR169alp6dHRUX5zktJSUlVVZXBYPDd/Ven04WEhNTU1JjNZh+5cFNSUuLTFhAAGAyG+vr65uZmjL0Vl7f75ebm/uUvf0lNTfV1J8dqtZpMJt/ZJ4QUFRW9//77BQUFvvOSnp5+4sSJ0tLSiRMn+s6LyWRKTU2dOnWq9y0fFcTGxm7YsGHatGm+c2EymUJDQ7ds2XL33Xf7zossy3q93qcdBAC48847P//8c6fTmZiY6OUh2ueyNTT8jDZZr6HhZzQRamj4mf8H9yfEBb4RcEcAAAAASUVORK5CYII=", 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", 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", "info": { "equation": "4+15*1=19", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "4+15*1=19", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
6a0c9bf4d3bb1f246a29c247901838961f7aff859b133a4a5006d7d7785e0d03
51
2,655,947,709
train
2025-09-16T02:27:50.473074
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 2655947709, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'1', 1:'2', 2:'+', 3:'1', 4:'8', 5:'/', 6:'8', 7:'=', 8:'9', 9:'2']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [4, 6, 5, 8])</answer>", "action": "('move', [4, 6, 5, 8])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "12+10*8=92", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "12+10*8=92", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
16092fdfc23430e33a1d7326cafba15b324272d07364a65189d7d2e7c107c840
52
857,592,370
train
2025-09-16T02:27:50.488606
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 857592370, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'7', 1:'2', 2:'/', 3:'2', 4:'=', 5:'2', 6:'4']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [0, 0, 2, 8])</answer>", "action": "('move', [0, 0, 2, 8])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "12*2=24", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "12*2=24", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
062b67075e63203cfcd88e0612dbcb9d2827050ad371907a3998e9abbcf7d4ac
53
1,642,661,739
train
2025-09-16T02:27:50.504278
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 1642661739, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'5', 1:'0', 2:'-', 3:'4', 4:'1', 5:'=', 6:'7', 7:'9']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [6, 0, 0, 4])</answer>", "action": "('move', [6, 0, 0, 4])", "reward": 0, "image": 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", 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", 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7rYfORj2yyJkgcu5cRq0Oop8watGiPl0KjSBiTh4DyM0ziQAIAFHqAxpjcPcTUgAR9+UzFOpzVCmKAgSIY7q+3TfoYdlPGBBS+wldziPN0ABAaVTdW8u04/M5T2Pv7vjkJySiyXz/AzMHs4qGxe/rJtySsulL/y8XQmofe7SrfHf8h/8mGrrPvfxR7ENPDvvlWtck53/zm/pXfo6C5yesW7Lk/O9+58hPA5xIjT15dybNX9FBCrww684paWnJ6oQZjDoWBTak3rh8eePatU7F2qSoqjnZLHadQgPBZJ4+fWJW2qjGZ98FEjZ2X4nfY87eIPsJ/cCweXPNnDmOWxYFYIhQlzyQ2+sn7AkB0WpNGTlk9n23nX/z/7p3HM4oO6BM9m5SzWlquqaf0Gw27U4eUQJQDrBbyX77v28EaNCytV7ao1aVA/wI8Ldw5a6//sE9TXD9hKLJdCQtrRigGOBIerqtq8OjZ1Lg7QQLAWo5wIJwbPx4h2LlsGHWSy0Wa1+50rtn7gUoAyhD8NmLsp8wOATdT1i3ZEkxQAlAOct2lpb08RNazOaqtat/ACh3KN6e0WkbAD+hgEntjPTJGXGYgG5KiiEyoL4TAEwcfWZu7mQrwQSoaakdbmvPg+4npNTqEZ98cmHjRgCIe+YZThceYIHXBNH0iI0bz69bRwBiFi1SREW7pzmVNyKHmURTtCJD9hMGjaD7CYesWYMFgRCizckJyy9wT9CQEqu6MydcrVLERGizErHRCt7FiA9+QiwIqrHDB//8fkxQZ2srqbraAIM3hMRPqM3LG5WXF3g53qPOyhq5ceNVErAx4bG/ekL2EwaXoPsJab1+xEcfXSUBBRC9cuD9hD3WOIKu8iI2H/jX8BNeG9lPOBAE3U/oBbKfUCYEyH7CwLluLEsyNyaynzBw5CCUCYjr2U94o3D5cVT693le008oc/1z/foJg429oeHEnDmYkPDJk4d/8EEQS74chLYLFwR77zI0QtzfP8txrOjvwh+P9PETuq/tpBBgD+8Xv9kQ+hmUulEUr08/oSiKJHhr8Ygonlm8uPvwYQRgOnJEN23aoAce6JMGUbR/l2tPEIrd3ReeXzp4Sb6j3hTLte3+YY/ZzAuXF9eLohgzSAcIQTCa1tdPyHEde4r3YsrmspwfExKpVyJEkaBIXq8kDU9A0j4RDB8WT9PBXKF6vfkJASAxIU7JNQQrDC+uX9++47IJ89yyZfUKwdVPKGJsbDubPFpHiPvLEK9BTxA2/ucKdOjQmKwnBRHTFAUKRfM779kK/8HeO9F1f8L8vFzsMgMbSKuaf/ELfk9R5q/mCaJII4QUiosbNoplu9iFU52KhJBJk8Y5szjGuG8+cnPSja0904PStHFcdlp3yzHH9ERQFLmhQ68+Fyo9Y8ekdDe3OkIiwGvVdPBg48qVrnOhtvPnG55+4go/IcYjRwzV6/WOXW4xxt7Hf6+fcM/e8KfvwhwDdgFjPHhw1ITM9EERcTGe9ycEtUo5JT+gDq+PnzAqSj8xNzOC4+KudPfZ7byjNRzHFk4Z1395NyqC+aLJUNez5zFC024JwttQro5obTe2n3IoYoKn3TJewok0icCCydRa5Xj0FQVxakGOMoAV6j74CQUBAARRzJ+UFabz8LZ1j/QEIeI4dmg00DSAQAhRKJWacJ1NFPvz2lEUpdUFtMjYg58wQmfrsvTrYEQoLMzbVt1AENGGBQvV+xKN8IFvIxHtWDBTFCeZYgggomjvRogCAEJImE5DBdDT+OonJITodCqa9nbqoScdsdusB072bAlIUcKlTmvdBcD9vmkYUTStjPFSwyMe/IQ1567m+EIUrRrAndxDBcXpGIUeendEpVVxA67IahhFpJSK0oMojlHH9LaR0MqYQHYQ89VPCATTyhjvh6B6/YRPPtG9pRyAAEVRHMOfaxVONEbcM2ng9id09xPaK05HzC1w7E/owd2HkPJmnF+iFRGMKopgAQAIERX61IFWpDgdq47rURSFm3LWDtFKTjsUYzsAYMxz+lEogCD00k/IMLTj7ocxz4UlIcrb5Wg9fkIiiqfmzTVWHUj4/cv8mQutKz47EK1uujVtAPcnJOT0o492lu1K3PCCaOi+9PJHleFc3R1jevcn7EEQhPtmTxuZPEqTMINRRQe4I+L1iWjvMl8ot3WdCR8+i1HHe3/y/Abz3aaWQ7a2qrDhs1htIqJ8e1ntDQEWzNa2KtOFct2Q2xThIwN8a543fkJBENJSk2bdkc9F5yn0KRTj7SaTyDmXwjc1HUkfa+/qIACRtxSO2rVDFLH71ADHMRRFByUYhPb2Y2MzLOebASAsJze1rFgkHiYjWI6hg6R4HUMIwQEaiH2WxGLPgNDNC8FCsDq1s0uXNn34IQKgWTataA+XOw7cXqNB0RTHMr7OhV6uH5uQMPLzz9q+/x4BSlj+Kssq2AHuH5nIyJGf/6Hlj5sQwOBl/84qlDdhh+wtSOIIBICbPgIBIIiPFdf0E/oNCuKqAhkZGT+4uZ/xZGRuAOQglJEJMXIQysiEGDkIZWRCjByEMjIhRg5CGZkQIwehjEyIkYNQRibEyEEoIxNi5CCUkQkxchDKyIQYOQhlZEKMHIQyMiFGDkIZmRAjB6GMTIiRg1BGJsTIQSgjE2LkIJSRCTFyEMrIhBg5CGVkQowchDIyIUYOQhmZECMHoYxMiJGDUEYmxMhBKCMTYuQglJEJMXIQysiEGN+C8NSpU6tWraqpqRmg2njkyy+/LCoqkkzOarW+//773377rWSK7e3tq1ev3rRpk8T7gnzzzTf19fXSaNXV1a1cufKdd97p6OiQRpEQsmHDhk8//VQaOQA4dOjQG2+8sXz58sOHD/uU0YcgxBj//e9/T01N3bVrlyiK184QDI4fP/7111+fOHFCGjkAOHr0qE6nq66ubmlpkUaxuLg4MzPzzJkzkoUEABiNxrfffttgMEgj19DQkJKSMnv2bLVaot25Dx48yLKs0WisqqqSRjEpKWnevHlqtdpu97Df+1XwIQjtdntbW9uiRYsMBoPNZvOxhn6SnJy8bNkyhhnwfTOd6PX6OXPmKJVKXw+l30yfPn38+PEdHR1SNrOoqCgtLY2iJPo+Yjab9Xp9eHg4x3HSKFZWVg4ZMmTcuHFhYWHSKEZGRmZkZKjV6uzsbJ8y+nYnxBg7fpDsTsgwjFarlfI5LSUlRRAEjPGgQYOkUdRqtZWVlXa7PTo6WhrFrq6u1tbWgoIChNC1UwcDg8Gwc+fOdevWtbe3S6PY1ta2Y8eO7du3K5Xe7pgbOMeOHYuJifG1o/EhCBFCjo6ToijJelAAkH4HxS1btuTl5alUKmnkKioqZs2alZqa2tjYKI3ioUOHduzYsXXr1uLiYmkUs7Oz33rrreTk5OPHj0ujyHHcc889N27cuMrKSmkUAaC6unr06NG+5vIhljiO02q1+/fvV6vVCkVAO4D7BCFEshsvANTU1DQ1NeXm5koW/D/++OPx48dNJhNNS7R1bk5OzooVKzIyMpKSkqRRPH36dH19Pc/zkn0nTEpKMhgMRqNRq9VKo2iz2RobG1NTU33N6EMQ0jQ9derU9evXFxQUSPntRa1WS/acBgBHjhyprKx86623zGazNIqFhYVr166NiooaPny4NIp6vT49PX38+PGSKWZmZq5bt85kMvn6fclvpk+f/vnnnzc1NU2cOFEaxc7OztjY2PDwcF8zyttly8iEGHmyXkYmxMhBKCMTYv4f4FTUG7XvatcAAAAASUVORK5CYII=", "info": { "equation": "60-41=19", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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"info": { "equation": "60-41=19", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
6a41e1726079ed2e28de656a428e63ade4b7c8bf793913eb2037e450f11f9908
54
2,208,620,086
train
2025-09-16T02:27:50.520885
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 2208620086, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'9', 1:'3', 2:'-', 3:'4', 4:'8', 5:'=', 6:'4', 7:'3']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [4, 6, 0, 4])</answer>", "action": "('move', [4, 6, 0, 4])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "83-40=43", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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QRTNYwEjGXMx9KfrZl1M2bvBN8co771z+6U8dK1o8QHPZaOUz99sVbUmoDlMTggg2h49dQsvUvsmBOz8hBmguSpQvLUd2RQrlTc4PVykFs5UOD7o05bXg3KkZ2//uu5/wySfHbH+LzkwEXjARvO3ZtxeULErc8J4tQF9X1zhjhtDba9/6PeAnBICWJBX95kLKfnsAIRm545Ljonm9kYkKbX/+Xf6CbvzhQ8zQSy0PuYWfkPQrjh6fMTo5ntcZmcjQKz/9wFjVkn340Ij5Ce1LLVYrtjmMOEb9wxnabyp8aNJwio5+Qvtyi8WKbe5+gYS98JB23wHfFaurHf8kABTApKDIhKGKVqsV9w9vjLHreFDCdJ8V3foJCxThibPLiNHioMgLZisAYL05fNlczbu7fVc8WK0sSafT4ggvACEyGVdWVtTz9QH7HSWmixetvb1OXru73U9IAMYiVer9Ux1HLp4XeIMJEBJ69Oofzm7/wW+wVgs+JeHN/YR2L4XAC7zeBAjxPTr1UzP6tq3mu7tHzE/o+hFiaCYxCl/s9L5FcBNFu5/QzQo0xSRHIe7qCCvC8IpARFa03FoTbIrEvSJwyVGi/IQMy0SEUCqFoDUAAKIodWSYjut0CHBjjbuLLBQwjJ+QR2C2DFMXwYRJjKQUitvkJ3TjAsOESYigFPIR9hMO3SkgJoup7jzh3R9JnnALP6HrR1bedOQcsbjxy4lSvElFCyGRFS2vFQEMh88REX5CIljNl67x13tsXz+x8IZj54ll8Gtya427B/yEN+tVhjLVXRC0Wp/beGs/4VAQQ5mOXxJ0eg8VPfIT2v+xLIMoBDRFLLxud13kc0u8bM4gN/cTOitSFADodtRGPStCcfFipyGFRhA2r5gB5FTRQggBEAAiV4uaY3D1E1IAYfNLGAo5tZGiKECAOKZv28GIp333E0Y8+T3LmavW9i6KY4CigBDtl4ccv6agyZMVo0bdY35CAAibV8IqZE69StM0AFAqufaLqtDpD9wuP6GjImNTVGh31QRNLOHczb274qmfEAAAiKA3PP5EeRwra136fvCk+zI2bb5tfsJ+eL1+3ryZKWHqlufWK9Jzxu78UoyfsHnZsit//CM9oHg2M+bc3BzaOsT+zFv5OQ9OzcpKVybMYpQxSNyUetsbb7StW2dXvJgaeXpeHosdS2jA6w0zZhTlZqW1vfRbICETDlb5POcMAB1r117543sxq59hU2Lan31XkVU4dvt2x07r2bXr7KOPwl3uJzz/zDN2d19XVHDtwgKGY4lDXYQ3GLPHp81+aGr7Lz42HGrOOVrnYUq45aZ+wv4UEEymjDFJD8+feeXt/9buOZ5dc0Se7llRzW5quoWf0GAwGPTfpo+uAqgF+FbObvt/t9lPaDAYjYb9BTmVADUAFSy9ed1rIhUFvb4hK6sSoBKgYdw4c1+Ps6LBYDQYeKuFYF6klg3M8ycnTrQp1o8aZbreaTQ5y1XPLT8AUANQg+Avr46An7Bq/DjbAzArOHrLb37mGnD87vcTnl+8+CBAFcAhuVx7/LiTZ9JoMDT84vVvAGoBDgF8NH+yEd9eP6HRYDi9bs0+21N5AT56ILvXfBv8hDwmF2eNm5IdiwkET83QhPvDT3hxembJKBUBRE8ecy0+XKQipVSO/vjjqx9+CACxL77IBYeK3OAtQTQ9+sMPr2zYQACiFy+WRUa5xpwvHp3PTKYpWpY9Mn7CpllZpRmhBJC6eExnrNo15vTd7ycctX49pVAQgJApU4Jyc10DmsfFRc0pDJHL5ImRynGJguG2+wlbM2IUD+aHKhWy6LCg3ESsM4FnOeKFnxDzvGJCStzPHr+r/YRBxcVpxcXit+M5ytzcMR9+eJMANjo05tdLJD+hV7DR0aNv2qs0FwA/YdRKyU94lyL5CW8Hkp9Q4p8EyU8oHslPKCEKyU8oHikJJUQRMD/hPcTg5WhAnud5cz+hhA944iccQQLlJ/Q/t/QT+sxgEpqvXuXt9zcR4vr8WY5jBV8fJO6WW/oJKQTYzfPF7zV43u1vJ1+3dis/IQDYX4k3IvjfT+gJgiCMYBs98RMiivbtcO1PQkGrvfrjl+OWldj2m2K57m/37TcYrPzgzfWCIERHBPd/u6LxxE+ICQlXyxGiyIhI3qmkpiSgkTt3OfkJzU2nar7crEPY7mAUMOZoIycTW3R1xM9+Qk9ITIiVc60jlYa39BMKGOu6L6ePDSbE9Y07t6A/Cdv+fQU6dmx87rO8gGmKApmsY/175rJv2EeLBt19CEqKC7FDBVZMqzrWru2prLSPijRA17a/t+sbHf2EhJDJkwvsq9jmuO89CvPH6br6y4Mi29i9ZUvnnz+ZuP0t22CKOE7z9b62v3/J/GQ+GpirFDDOzR3HcZwgYDRCvcolJ9+8Fup/JozP0HZ02VJC5LGqP3q0beVKx1qo+cqV1heWDPETYjxmdLJarba95RZj7Hn+D/gJ9x8IfeEhzDFg4THGcXGRk3LGRYTFRrv4CW3frlIhn1oiasDzwk9ICABwHFs2tcBlM3c9vOGaXtOMKBoAAKHp94l64ourn3BaWRGzq27U7DLHGUurtb9qhwmeft9EPxbS/ATm9fqu07ZLX4EXppXmy0Xcoe6Fn5DnAYAXhJLJuSHBbp627pb+JEQcxyZHAU0D8IQQmVyuCg02C8JwXjuKooKCfb/JGLz3EyKEQkI8bdVdBBHMmDdSAw/RCBXXRrd+Qk2/g9F92UCk4h0KEQSLFiEKAAghIcEqSsRI462fkBASHKygaU9LD/1xxGI2HTnXb+ejKP56r6n5KmA83MUtomhaHu3+M8/w1k8IiKIVvr/J/Y6F4oIZmRoG3ohKK2LFbM29n/CmEz8iFe9MEMUxyuiBXiW0PBqQ79U4b/2EQDAtj/Z8CmrAT/jsEu3OWgACFEVxjPW7Lv5sW9gjk538hAxDIwQAGBAtCxX17DMP/YSD7j6E5PdifYmWhTGKSIJ5ACBEkKkzxWzN2U+IiX7X4fAnpjp1KcPQFIUACBH4e7Jqh2g5F5SMsQUAMLZy6jQkIgk99BMyDG07+2Fs5UJSEeXp7Wj9U9VEEM4veEx3+kjCn39ivXS1a8VfjkQp2+/PGuonBEHgFz42a1TKaFXCLFoeLmZ0AQ/9hDw//+HpY9LTVAmzGEWUSMU7E8HSZ7haa+67FJoyh1HGe/7luaVj7drvfv9u/JolbEpM54u/vWAy1c/LZQENcTBa+WlTCoomjlfEz2CDEhHl3cNq7wowbzB1n9ZfrQ1OmikLHSPyqXme+Al5ns/KTJ0zu4SLKpapMyjG05dMDtaLrO3tDeMmWPp6CED4fWVpX+8RBOxaGuA4hqLoEUkG/saNk/n5xtZWAqAuKso4UCEQN8UIlmPoEVK8gyGEYJEGYjuN08o0lQcQgEwdNv5EA0RHuVbtbCO336p2gYJgXuSgZufyyy+3/+EPCIBm2ayK/VxhAbi8lpuiKY5lvO3VIUVbzY4d3V98gQAlvPFzebo/rlL69u2z+wmVOTl+UPxnwHTuXPu6XxMgkfPnqx95JNC7c48g9PS0vP66zU8Y88orI7jlkbxzQkJCwgfu7Ws8CYm7ACkJJSQCjJSEEhIBRkpCCYkAIyWhhESAkZJQQiLASEkoIRFgpCSUkAgwUhJKSAQYKQklJAKMlIQSEgFGSkIJiQAjJaGERICRklBCIsBISSghEWCkJJSQCDBSEkpIBBgpCSUkAoyUhBISAUZKQgmJACMloYREgJGSUEIiwEhJKCERYKQklJAIMFISSkgEGCkJJSQCjJSEEhIBxrskPH/+/KpVq86cOXOb9sYtmzdvrqio8JucyWR6//33t23b5jfFGzdurFmzZtOmTX5+L8jnn3/e0tLiH63m5uaVK1euX7++p6fHP4qEkA8++OCTTz7xjxwAHDt27Fe/+tUbb7xx/Phxr1b0Igkxxv/4xz8yMzO//vprQbjZy19HkKampq1bt549e9Y/cgBw4sSJ4ODgxsbGzs5O/yhWVlbm5ORcunTJbykBADqd7p133tFoNP6Ra21tzcjIePjhh5VKP72d++jRoyzL6nS606dP+0cxNTV1wYIFSqXSYnHzvveb4EUSWiyW7u7uxYsXazQas9ns5R76SHp6+vLlyxlmZF4x5wlqtXrevHlyudzbrvSZGTNmTJw4saenx5/NrKioyMrKoig//R4xGAxqtTo0NJTjOP8o1tfXJyUlFRQUhISE+EcxPDw8OztbqVTm5eV5taJ3Z0KMse0/fjsTMgwTFBTkz+u0jIwMnucxxhEREf5RDAoKqq+vt1gsUVFR/lHs6+vr6uoqLS1FCN06eiTQaDR79+7dsGHDjRs3/KPY3d29Z8+e3bt3y+WevjFXPCdPnoyOjvZ2oPEiCRFCtoGToii/jaAA4P83KO7cubO4uFihUPhHrq6ubs6cOZmZmW1tbf5RPHbs2J49e3bt2lVZWekfxby8vNWrV6enpzc1NflHkeO4V155paCgoL6+3j+KANDY2Dh27Fhv1/IilziOCwoKOnz4sFKplMlEvQHcKwghfjvxAsCZM2fa29sLCwv9lvyHDh1qamrS6/U07aeXV+fn569YsSI7Ozs1NdU/ihcuXGhpabFarX77TZiamqrRaHQ6XVBQkH8UzWZzW1tbZmamtyt6kYQ0TU+bNm3jxo2lpaX+/PWiVCr9dp0GAA0NDfX19atXrzYYDP5RLCsrW7duXWRkZEpKin8U1Wr1uHHjJk6c6DfFnJycDRs26PV6b38v+cyMGTM+/fTT9vb2oqIi/yj29vbGxMSEhoZ6u6L0umwJiQAjFeslJAKMlIQSEgHm/wPmvhltVTyFVAAAAABJRU5ErkJggg==", "info": { "equation": "83-40=43", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
0b4b819a873344861d7b744dafd454338e1390aedbac75786ee170a6e1402024
55
4,222,944,499
train
2025-09-16T02:27:50.536579
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 4222944499, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'4', 1:'3', 2:'-', 3:'7', 4:'8', 5:'=', 6:'3', 7:'1']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [3, 0, 1, 5])</answer>", "action": "('move', [3, 0, 1, 5])", "reward": 0, "image": 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", 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NBghOEAbRT2gn2OnuG7gKMTSTHIubO/1r9LUU+/2EHirQFDM4FnHnAqwI11YEEuyMlkdrXPD8hB4qEOAGx95iLs3r+gk9gAmTHEOpVLekn/Cat8UgIFa7tbaJ8B4/u15xAz/hwFUO3rrvBLF78MuJUrxORguhYGe0PFrjguondAchc80JbLHcTn5CdxjKWntSMBiC18eg+AkJAKtW6EpH0xhcUz0syyAKAU0RO2/cXhuz4HG/2319P6G7IkUBgPGLPbFPiFAsK3MbUmgEkbPGMoDcMloIIQACQJS64M4xaKdOVcbHS+cndNmrFE0BAFJxvZt3RT009/bxE7r0kaZpAKA0SsO/KiOm3HUL+AmPz559cevWfndfXcGQjilZlN3h8qAAIpjMDz1cOohVtC1aHV40KWP9hqD5CfvgTaZZs+5MjdS1LlilSs/N2rJVjJ+w5Zlnfvjzn/vdfccz40/cm0s7rhqueAc/8+4J2dnp6qTpjDoeBWJK/Tp0b9hwsmw+SOQn7IM3mcePHzWmKLftuTW4W8ip2U+HiZrBv5n8hH3wZkvOyOEz7pnQ8epa896W3P21nKd0VKAIjJ/Q3tGxPzra6e5rnDbNbrde5e4zm81m03fpQysB9gB8p2Q3/0+Q/YRms8Vi/n50bgVANUA5S29Y+aJIRcFkqs/Odrr76keMsPX2uCuazRazmXfYCeZFanmPxH5Ci9lcU/ZwOYDz2aTrFt1/+/kJLWZz/asvfQuwB2AvwMezx1jwreAnZBMTh65d2/3FFwgg6eWXWVbBXn3zDY9J8/QR43MSMIHwCRn6KCn8hM1TMscN0RBA9Jhh5xOjRCpSavXQtWvPffQRACQ89RQXHiFygwFBej9hU8GQLGOxkmaUmYnNt6mfsGXEoNiZBVqlQpkcox6RLJhvCT8hQOQDD0Q+8MC1imKeV92ROujfH7ql/YRhY8cOHztW/HYCSAj8hBE/Aj8hdyv6Cb1A9hMGBdlPGAxkP6HMjwTZTyge2U8oIwrZTygeOQhlRHEz+wlvFUJ8OXp9P6GMHyAKBfH+rAHctH7CWwjfgpDnPV7l+8kN/YQUAk/3A91uBHav8r0G+6VLgBAQAEIQ68Hl3f9KvIBwc/oJAVEB7KM3CILgn6IPQUhRVNqQREIGvlDEH7zxE2JConRKhCgCt3MopqUmocCdu9oXL46P1wPDgoNHLGtrPFK9dYMR4X4/oYAxR1s4hdikqys3m59QwNhuPK9JjZQyDJMS49RClx8B4kMQMgydn5dlM3UhCgBAEPd6jbMrVvRUVPSPijRA1+Z/dJgaXP2EhJAxY0b3V3HOcd9+FOSPMHb1pQdF9rF748bOv6wr/OdvnEMy4jj9Nzvb/7GV+dXsfj+hgHFe3giO4wQBowDtVW7w4Os/WzWAGHbvPrNihWtm0tLS0vrck1f5CTHOzBgWFh7G8wIAEvlZ9ZLsrOGX2tudex5j7H38+xCEtp4TNlOX8yyvViknjBM14PngJyQEADiOnTxh9IDN3PLw5vMmfQuiaAAAhKZMcn+0j08Yd1epx6XTwwcRXgBCFApu4uRiZlvtkIF+QgEDACZ4yqRCCRNpAcAHPyEvAIDACxNL8pVBvkMdCzZjZz0gCgB4QRg3Jk8brvayrg9BKNhNBPOI5gCAoqiwcD8fbOHEVz8hQkir9bZXtxBEsGHeQl1+iEaEuD4ihmWitZRGJRjMAIAoShcTqe97I6LntIFIRenx1U9ICNGGazw5/gIKEQS7wXkhSggJD1fRtLepBx9SFIw6lmKUTp8UomhaGedHU/vx1U8IiKJV/j955aaF4sIZhQ4uvxGVViWI2RoRHLZT5/kLPU7zF7Hz5gNN5LoTPyIVpcdnPyEQWhnnPEcFD0QxrCah7zgSTCvjvJ+C8qFlXFgyxagBYwAMiFZEiHr2mZd+wivuPoSUt2N+iVZEMqoYgnkAIERQ6DLFbC360Ufsx845OroojgGKAkxM22qiHp7gtksZhqYoBECIwN9yWTsv/YQMQ9OXM5OcbjgKehBynDYVY0efojYNUd5eZvo2VS3Y9Ib2b7DDHJF6L62MEjm6eOUn5PnZ900Zlj5ckzSdUcUGezwLCYK913xuj633VETqTEad6P3B88jZFSvO/PHdxOWPs6nxnU+9d9JqrZuVxwK6yk/o4CeOH11cOFKVOI0NS0aUbw+rDTle+QkdfF5uxl1TihTx4xURw4L91DwAwLzF1nPc2LE7LGmyQpdBMd6aQn3PFxEMQAKS7eEvXjycn29payMAuuLijF3lAvGQjGA5hqbo2zL8XCCE4EAZiBsmTtZX7EIACl3kyEP1EBc7MGvnPFcE5DiGhJPz55/77DMKgFEqR+zZw2RleshM0hTLMhL3kWDe12HU90E3cMFwQz/hjwkUQAv/0I8/7Fj5OwIkZvZsZUpKoDZ7U3FDP2Go8ONCJpB3TsjIyPjB7X2NJyNzCyAHoYxMiJGDUEYmxMhBKCMTYuQglJEJMXIQysiEGDkIZWRCjByEMjIhRg5CGZkQIwehjEyIkYNQRibEyEEoIxNi5CCUkQkxchDKyIQYOQhlZEKMHIQyMiFGDkIZmRAjB6GMTIiRg1BGJsTIQSgjE2LkIJSRCTFyEMrIhBg5CGVkQowchDIyIUYOQhmZECMHoYxMiJGDUEYmxPgWhE1NTa+//vqxY8eC1BqPbNiwoby8XDI5q9W6evXqzZs3S6Z48eLF5cuXr1+/XuL3gnz++eetra3SaLW0tCxdunTVqlU9PT3SKBJCPvjgg3Xr1kkjBwAHDhx44403XnnllYMHD/pU0YcgxBh/9dVXmZmZ33zzjSBc7+WvAaSxsXHTpk3Hjx+XRg4ADh06FB4e3tDQ0NnZKY1iRUVFbm7uqVOnJAsJADAaje+8845er5dGrq2tLSMj47777lOrJXo79/79+1mWNRqNR48elUYxLS1tzpw5arXabvfwvvfr4EMQ2u327u7usrIyvV5vs9l8bKGfpKenL168mGFEvTfTJ3Q63axZs5RKpa+70m+mTZtWWFjY09MjZTfLy8uzs7MpSqLvI2azWafTRUREcBwnjWJdXV1KSsro0aO1Wq00ilFRUTk5OWq1etSoUT5V9O1MiDF2/iHZmZBhmLCwMCmv0zIyMniexxhHR0dLoxgWFlZXV2e322NjY6VR7O3t7erqKikpQQhJo6jX67/++us1a9ZcvHhRGsXu7u4dO3Zs375dqfT2jbniOXz4cFxcnK8DjQ9BiBByDpwURUk2ggKA9G9Q3LJly9ixY1UqlTRytbW1M2fOzMzMbG9vl0bxwIEDO3bs2LZtW0VFhTSKo0aNWrZsWXp6emNjozSKHMc9//zzo0ePrqurk0YRABoaGrKysnyt5UMscRwXFhZWU1OjVqsViqC/AbwfQohkJ14AOHbsWEdHR0FBgWTBv3fv3sbGRpPJRNMSvdg5Pz9/yZIlOTk5aWlp0iiePHmytbXV4XBI9p0wLS1Nr9cbjcawsDBpFG02W3t7e2Zmpq8VfQhCmqYnTpz4/vvvl5SUSPntRa1WS3adBgD19fV1dXXLli0zm83SKE6ePHnlypUxMTGpqanSKOp0uhEjRhQWFkqmmJubu2bNGpPJ5Ov3Jb+ZNm3aJ5980tHRUVxcLI3ipUuX4uPjIyIifK0ovy5bRibEyMl6GZkQIwehjEyI+X998ZVZ0MBQ6QAAAABJRU5ErkJggg==", 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", "info": { "equation": "49-18=31", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "49-18=31", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
7b79ad5812349223eddc2c309a304d638cbbc73830ff1075e82a97ffb98976b4
56
2,544,401,215
train
2025-09-16T02:27:50.554327
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 2544401215, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'1', 1:'4', 2:'+', 3:'8', 4:'/', 5:'4', 6:'=', 7:'3', 8:'8']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [3, 1, 4, 8])</answer>", "action": "('move', [3, 1, 4, 8])", "reward": 0, "image": 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", 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", "info": { "equation": "14+6*4=38", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", "info": { "equation": "14+6*4=38", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
78fe5f7665a64f3136ae53f96f27587a4d670914141a005613b0b2aec1cde139
57
2,004,731,384
train
2025-09-16T02:27:50.572605
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 2004731384, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'2', 1:'8', 2:'8', 3:'/', 4:'1', 5:'0', 6:'=', 7:'1', 8:'8']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [8, 1, 5, 6])</answer>", "action": "('move', [8, 1, 5, 6])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "288/18=16", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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/+yU1cMyTf7bt+ArGDn1VXZJRL7984bXXGIzjn3yS4QOQ/BwU4nRWPvqoezYvBUgrLJPr67XpCaufecZ92lmAlI+L9xRscREVUQAAVVHkj/82/rf3WJfPqn/qL1VPPpHx4UdDzhQfSk8odaqksq4aExsbA0ArK6vtXN7Vc72edzeYnlAhAAAsM2naRAtmwcS3b997cd0/cr47xPlRT0gopdQYaptckItcEjPCVvfIK7SWzdz1pV+yl466YmdDCcNwFy7U7S6p+9mqjb7bvBzDoSeUVbfZCQW5I0wmyjKufWU1P3tt3IH9V6KUadj0hInpqRmjkxWXiFjmbP7DSWv/EPPQg4PbHEJP2K2SUhRFVVWEICoqPCku1duqw6B6wu556JIkE1UFh2AuyETce3J9g7dBOIie0J2Oo5RKLgkASIfLtmR6wy/eprLiexAqQpOr8VuEMMPgTz8vnnbDwz4aHJxh0BNSoXMwTZYVVVZAUfmsUUy0UTx7/koMwmHVEzoFd5nt5gL7vgMxDw1hcwg9YT+VFKXAsazZpEmIdXk9YX8xCKHMCBtjs2iYVjSInrB/TpxSNjYcm03gD1SxjVIFY87ldIyITSuYeYNfzF6WwOsJqdh3RJtSJsTMhliQX1NZw8bw6wkRy7DxEahh6EbxQE/YdzNmjNgQ5mGN++w5qJ6wDyyWztfLja2XmO8ypJdB9YR9wFg8WkHa7d66GAhRXI66IgDMMPir3QcYY5TvNoeADouesDcYK7XNUl0LgA+TmYLH8OsJqaSIpec8Ud5eRk9o7dIT9lJJYYyAEMyaOXOchtoPpifs9sKxCCFkMgjfnuajRxlSRnnrZTA9YS8vgACbeMcXh0Jmz0O89w+QvqhSuyo0IYQpIR0Cv/jOlT4aHJLh0BN2nS6OYxFGyMCJ5ZUMtpknjPfLIQwzw6Yn5DiWYRjAmCqqq7h8xJKbh7TZoyc8mpsrt7e79YSl2XGVC8ZhqWsYB0CRlXlz8nMnTjTHX8sYwzXUHgbTE3Z6oS5h+R0Lbafralb/NeOd7aHXzNbgZRA9IQBQVbWwzF33L7b/eWfbtpLxB7/jon18cNGOqi+FljKW5ctPndl3pGXF6td8M+gRgdcTdjW907l48bw4h1L5yJ9Gv7AxYvlybRX+oegJBWFc5uj5syafv/+/LVnTxvzfJg8q18XJ1U/uBigG2Gk1fr7tjd6iMvefLIuUaPwt0G4uqyd0Ol0u5zcTJ+wF2A+wJT2qovasNheD6Qmdzpaqis8tpmK3nnDRFN/1hIqzsfHwy42lr7SWvfaHVQtPHtWouNPAMOgJXU5n4fXXfgOwH2BbvFXXE9Kh9ISn3nj1C4BigK8Z9I9X1nhisCcreCYzdsSiSaEGAz8xuT3U2k9U5i8G1xNWXpOZm2RiWTZ85hgiaNTgDa4ndNjMF2+amChQJtw/ekLZ1QiUIga1traGRCSlZ030xZpXDI+esHJaWpahnceMc4auJwQYSk9YPyoKXz8hzGRRs+Md8R71GXuCkDEbYtbcER4RWVdZ1dbuq9bjcgRdT0gFOcR/ekIitTvrigBhlmE+/awwNt3rtzJfGB49Ia/rCfsyuJ4QIYh6amlcUlJbcxM94VGj9Bofc4vTDD6L0wblX0xPSGQHkR2AWVWReUvsDUu0ToXShq4n9Irh0hMSh0jsLirKgDwaf/5haUb8jqN+PwXEscz+A4cdIstqGKn7AXA5PSERpQFhr+sJdTyGqC5nXbFsr0KYQQjKzzYs+fFjQ+/2g0TXEw6OHoQaIZLdUVcMiMEY19TUIS4sbmRKsCv1PcWtJ+zzo7KT040jo/r9XCcABFpP+P2k55YzTD9vrlUY6jmIYTSmvbxBaD4GiAEAjFFbuz1n6sJAewwgAW6U74me0F8ghvHvzxP1BKFQVwcRHAAApdhwiddiIjspERmDxpF6AKCSJDU3A4rt9G3qkwrHGF1qEpXXyC0titMJCAEFQIgz9xmB4A0m4kvWp4vuZQZkWRqbNTk8/WbfbXpdB5X4Ib2kErGxETI7R8+ZAePXfvlBrO+DnpBQ6pemFy5c4HDnQlUDp/5jhiOid146TTi+3MV++HfjtH8HAMzxzbv3fC2qskq69YQZY5IjjBclR4N15FxDWJq22te9+HJoRTk25IJKMcLndmw/n34UuhqDEBpiZX2fH1z3q6ci8w0UYQQUuYTDW//qjAxBKgUAClQSnJERob5fu5wlVmqvcP/PW2N9tKaNuNhIAzT7OMrS/PYma0kRe10GUMAMU/v5J031F7rzJYQQI6cwjB9iI7h6QgAIsZojIsJ8jEO5tta14b8i1t1JCEUMJ5Qf3/vRZieinXpCQlytVTlpIV5dYCwAELv9zM9/nj4ryWQ2UZcERkP9q2/IV+9l503o1hO2G5JDRsZTojouFGoLQuHUqarfPpez4V73R8oylaueDll5PZsaC52DtjR/8gT3FUUI1RYnLR98YN+85aqfrFNVlWNZua3t7BMPmNfcjk0Gt57QYDSk5ecqKmEZ7Et78CEpjgtFAAwlCheqRdvlOxnpKe3VVZRSSkHbscgXLpz75ePjHlmAWZZKCvB8zW9/HXbXbHZCqltPqBIyMW8cwgx0Ta7SXFtLfn5afr7m3X0nMnIElxSnqgSBxtMFABWP/meM4IiOjVIdAjLwrV9+RXd8yv90QY+ecGRceHiaqqrgsRcWAFSnU26uM994qyrIQEhYmG3SuMyo2MSI/npCAoghsl1sP2cI8ToJIZ2rYCJ4Li+NSooKkJIykk+IS87KMs/I7qMnpJQq6tj05MhYLVM6HSWHzNdchaJCqaIoipqTm9lqG5E6bQoTEdKjJ5RkAFBVdfLELKNR4y2Z4cNCkq/vqNxpS5zHBWZweXAokR0XjwNgQmhIiCV31FgNRuSGRmAEw6zxVJQIhdj4qNzRoxNGp9sWXN1bT0gIoRQlJcWHJSf49SCGFdfFI4qsIMwQSgryx2t7EXaUHg57YC5RFABgGGbqlAn8wTMj+69PqACAwcBPnuRRo7i7GQhbzUxMGBAKABzHWsNtoqJeUiVFiUQUp5bqI8yGWJgQM3GIFIHJYuItRlFWmAF6QkqpycjznJYuEGJYNjYMGVgqK5RQW5itjWdFSWYG6AkppVarEWvNSSDMGsLG8CGp7qdEEKBUlRzuxAbDYItZ090EYcZmYSJsVFIogMFoNNnMoqLwA/SElFKjgTUaruCBUFXq6O6622waZ2Vig4FNiHCbQQiFRoS200vrCTFCZotHcwk7L0G1uU0qq0IsBoTUDpdwouoy7+MUs2bWOEJT/YlU1yLXNgGLgcFS9UW5vvXSrzOUYD4UNM2ZoEQRj1cTuwAIIRYLZdVqi+Ny38WGSI0zl7oIWgQCAMKsOcqt7kOYwwZtjULlxhbpbB2wGDBWGtvEqsbLNT3irIjz87odwwlrie1Om2vWfBKXS/jubKcdlTgPn7vsVD7EMEaPFvzCAMCGhljzChy7SrGZRwxWW+1KeW3INTl+1hOOH8fwYeKJSmTgkIETy6oYjrGMG9VHT8gyCAElCmuKxpraO2zhDdKJerXdAQzGZt65+4h5XLIxOrSPnrBzSErmrUlXqE4cABBmeWsiJQpQApjnbUkajBiSEg1xo4WD5dhoQByrVDbSdoc1P6O3npBlGYQQJQrLh/mSGw86fEiK+0lIicKHaHyND7/xJvunB5CRAwBAyLXrSNh1k/20PuHp00enTQl/8Hrr/Nz6ezccNOOu9Qn9qifctu3Mw/+e8D8PUIXU/+fru7Oi23L66gkJXb507sjUXHPcdMzZtHmpWrWqYctfEjevcvyz5MIf//HVggw1NrxHT0iI1WK6Y/mC0Ph8Y+QEzPq6pE4QIYrLWX9AbC0PTfkRa4rWNjra8c2eE0sXxTx3NzcyquGnLxUmh9YXjO7T9Iqy+Eez0zInmOOvYfj+y3VdQVCqSu0VHZWfWOKmG8PHIkbLlADidB2dms9dFRa9+s6GB185ebbm28W5DPi0PiHqznfV/m79uSdXIQBL6ujMQyXEYOjXV2Q5hmVYH38tt/ymmxs//AAAom9Zmrz5baL0Tx/xPIsZ1pdeoupwHLkq21l5ngKk/vcfRjz8YL8hKYSAD/CQ1HBCqYqQT73icw/8rPbVPyGAsOkz0r74jBDSr+k5nmUY5l9jfpXvp6v1051l1y0AAIblskq/Y1JToe/4NsNgjmPBYy89F2LsIyul6irF5Yq+4w4+NMyXWg5C0gsbmMhIBJDw9GqeM0AA3vMZiyXl9Vcbt2xhLZbYhx5EwRiSGk58vKQAIHHNs+7pnXErV/D66RqKsAXXJj37rKuiInTqVEvmVX6okl8UPTo6Opr5V+hg6Ohc0ehBqKMTZPQg1NEJMnoQ6ugEGT0IdXSCjB6EOjpBRg9CHZ0gowehjk6Q0YNQRyfI6EGooxNk9CDU0QkyehDq6AQZPQh1dIKMHoQ6OkFGD0IdnSCjB6GOTpDRg1BHJ8joQaijE2T0INTRCTJ6EOroBBk9CHV0gowehDo6QUYPQh2dIKMHoY5OkNGDUEcnyOhBqKMTZPQg1NEJMp4GYWtr67p16w4fPhzQ2gDAm2++ef78+YC6KC8vX7t2bWNjY0C9bN68+aWXXpKk/gu4+p3333+/ra0tcPZLSkpWrVq1Y8eOwLkAgLKysueff76pqSlwLpqamtavX79q1aqAXsZtbW3r169/5513PN/F0yAsLCyMiorat2+fql5mXVJ/UFpaum3btosXLwbOBQAcPHgwNjZ2z549gXNRXV0tCILZbD5y5EjgvABAS0vLxo0bAxrqNTU111xzTV5eXuBcKIpy4MCB5OTkgDaK1WpdtGhRVFSUKIqB87J79+709PSmpqaKigoPd/E0CCsqKpYsWSKKoiAIWqs3NFlZWXfffTch/Rct9COEkHHjxuXn59vt9sB5iY6OXrp0aWtrK8sGdhXEkpKSlJSUgC6tpSiKzWYbMULbctwe4XK5Ghsbc3JykpOTA+fFYDBkZWVZrdbs7OzAeTGZTC6Xq6OjA3m8ZqunQShJktlsppQGNEIYhjGZTIGzDwAY4+zs7LKysoyMjMB54Xm+tbX19OnTCQkJgfMiCEJzc3NeXp7n7a2B+vr6zZs3b9++PXAuKKXHjh175513AvqMAoALFy4YjUaz2Rw4FwkJCdu3b6+pqYmKivJwF0+DkGVZURQRQgFtbwAYhvUSm5ubKysrc3JyAueitrbWZrPdcsstp0+fDpyXU6dO7dix4+OPPw5op3fmzJnr1q07d+5c4JpGVdVx48atXLmypKQkQC7cnDt3Lj4+PqAuDh8+/Oyzz86aNau6utrDXTwNwujo6H379rEsazQGdpF3Qkig4/DTTz/Nzs4OaEexoaFh165dLS0tAfWSmpr65JNPZmdnx8XFBc7LyZMnq6urTSZT4O6/PM9HRETU1tZardYAuXBz8uTJgPaAAMBkMjU0NDQ3N2PsaXB5+r3p06e/9957mZmZgX7JCQsLs1gsgbNPCDl8+PBbb721d+/ewHnJzs4+dOhQeXn5hAkTAufFYrFkZmZOnjzZ856PBhITE9euXTtlypTAubBYLJGRkRs3bpwzZ07gvCiKYjAYAvqCAAAzZsx4//33XS5Xamqqh7voy2Xr6AQZfbBeRyfI6EGooxNk/h9HI62OCspivgAAAABJRU5ErkJggg==", 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", "info": { "equation": "288/18=16", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
44c3addf10379f2192b9c6c70540ae4bf0e605af2d19915a85fc43c71969f865
58
199,502,978
train
2025-09-16T02:27:50.588078
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 199502978, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'2', 1:'/', 2:'1', 3:'5', 4:'=', 5:'3', 6:'8']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [6, 6, 1, 8])</answer>", "action": "('move', [6, 6, 1, 8])", "reward": 0, "image": 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", 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Dn6h2H61O+E2ngo/gubyesL0NCCFAiDLprH+3mK4Zoc8KV0/oq5GjAE72jS6+faSPnrAFURCvyRk8ZeJIOmqIrlcOrZHhJ8YC4raW2Kt2ABCEkCBIK19fO++RP+WMmhSh4oIn0nrCU4sXt/VmaIAfRvQ9M2WYn56QiDbHtOnjh+UMrv2f9VbLoUF/Wxf7s5913QAvPV9P6EW0O3Jzh02cMvbc37Zd+GBnn4cX9X3uua4bEISesAWEseT23H3XjBijofqh1/mqxuH7Dmj69w++LOS74lfyh+faNHKuOFP1/zx654LnA26KpWmKZRnZZWy+EMlz4eh7ABIA0mq5jZu2En3G/b9ZhgLtbOx+Ovjq7B8em/foi3JlXnbXXXUffOCV0iXOm5fy3lpJkjqMzAkhe4Zm6CrP0AAswOGchEn/3DUgZYgsBngV3i1SboD0v/ylm/WEAHBm+fI2PaF55MjBe74VAfxr44GZN+PtuzQACKAyJSphw4a8vFtlMUB0Ofek9fPVE97wcWFHPSGArbTkQM6IGAAAYAD23nbt/Z99rwslNNq13H4aOb1W062/4OSLYK8BInn3Ezvsrpqz5xe9+LceEoEQYT1h/7/+lWrVraWuXEmzHOu3RidgcuymzJsa0iQCut5m84hEye6UpfQrS09YfF3/6/UuhqI5lnZNH6aAnjDWVH1bdgYbzWNszO6ynjCiGrmQEJ31tmoLAAFACKGPNn0R1+canUGvlD3+RNRXtMmUvmbNpdMQUdBm9EmcM1mSCMcy8HnHtY3wuBL1hAmv3KusntAkr54wghq5UBDdDVhwIFqDEOJ5t4CiHlq0nGW7dZvOZVHcV0TC2O7CErmU2i1EVD3hRbpLT9h9v8sSPBLf7Dj7LaI570+Jbdq8TR+VodH2oNfg1YxXT+j3PvHqCWkPf4nFElVPGB49ZYjVhsdaZjv9JZZcAIiiqPpz5+uszL0LZZvzULkMqp6w2+lxQWg/87XorPVKlhBCu7/5fnRevt4QpbRd/y1ceXrCK5923dGQ9tpEAte5Q0R0A9ViFZYEnpgm3HSnslZ1P3x1dUnrFtDBW7ZwfSO4HaIDV5yeMHIghukeRXW7IHRWVpGY1jUJQpD/vHgrBAuSp5HmomWckgYAydNEsOiVLAGAKAkLnljBGXvJWIRciJIUIVEldjpL77zTduQIBYABSu+8c6jFQuk7Dok5jovQr7BdSXpCAIxJhB4EX1PDO5y+cUj7PQUAYDmteLmO+qW5GIQX/vKm5tONUVOf8N4SYllP8Q/fb/moiSId9ITZwwZGax2O+sMa8yBdXDYXldYVC3xhjX3c1uNAMAACglldPKPpoT/tntYv2UC7I/H4Ty1c2LR3r7dPQgM0791b/sjDNfNmdNATSpLUr0+cdwVBdhuuFD0hxjgmimU5+betS1bryTlz0uYMbmt4KIQqN31YMqQ/8O30hC5HU1pqcsCBdJC0BGGTxVL6u9+NuP+G2BiTaHcjhCiNpqFw++kPP6N+P6eDntBmqtD2jqMYg6e5AgtOGYNQY85wnN2DeRtQDMa8zphCsT00CK/JGdJUfR5jghAiBOR6KdWuXFm3dq3vqIAGqF/3flXFbr/zCdH4cbm4tX3EGMvbIphnzFBKFdW4ZcvpJUt8nUABWHfvPll9uIOeUMJ4VG4OwzBe/xNCuhIMvpx8+BH3gQPXvXF325PFiDr12DPontH6Cdm+ekKTyTh89AhBaLkSRk1oCULH/gOUnhjnTRadHgAghBgNhhumjafetQTUE2KMAQhFsZKnwWMt1Zgzwr7bDkSnz3TU7vVYy0wpN2lMaXJlKy+Yb7bVHvbu2iOEmIz6qZOzZck5rPMJQRDEUblZ8X0TZbFBcULWE0oYAERRSu/fV99Hno171q3b4h6ajqP1IIgAIAjiddddUxf7aXJCagA9odCybCNK0o1Tr9NqQxujteoJWZbWckyfXtjW0glmWDo2PvYcwCX0hACISB5JlHWziCYmKnU66SchqieuYXohWJT45raxK01Tpmh55iTC0xMSQoxGrUa+JXtlCU9PSAjRaliDQZ5JCorVcKkJiGOIIAIAwcQcF92gZT1YuvSDMEfrKSq06ZxWPaEoCDa3+1B5y2+2ISQ53I69xy+3NEQo1shoZZ84QT05AgEAMVrWkAStR1MhiqV1SbLkHPb5hLSmF6K777yKiBKmnpBgxJooLkYeGwSP87tj2OH2vpMQSzsPV4g212V2RxHM6PqEOkfVkjrm1lsZrdm29XvKpAMAYGji5m2f7+11743K6gl7JhSj56L7Y8wDABAMFKONkacXpJ5PCCHqCRmG9ooqMRYYbRyrl6dPnvibX1v/+T1x88DQAECZdPZtBxiGMefn+usJGYZGAAAES7wmNhOFGIQXpUxNhdtL5s42jstMWHG/45vixmUflRHpSLvzCVvoNj1hTwaLTt5eZavczplSjUnjaG0MyLR/NGg9YWTPJ1SWEPSEgjgqN2vC9cMZc5Y2Lovm5NnXQUSxbM4c68FvEpbMMeRl1T35jus/xywjktwj+nfQEwIAweSeubfExJqN/aYxut5t45QgaacnrF25qvzx33qXp4wDMzJ/OCB1OJ+wlW7QE14RECwiRMu+pBuMntBLhM4n7AkEqScEAJqhWYaW3QnY5SoanmMvK/VGxIDXXotd+CjuZIDGaVgKofBsQB3mtauXLOFrazGg5EWP6bPlmfFTCRXJZjv925bfC0tduZI2XSX9zFCpfPLJNj2hdtCg7jfAWVR0ZtWfKSBcYmIwpwaGR8cgVFFR6WZ63AZuFZX/NtQgVFFRGDUIVVQURg1CFRWFUYNQRUVh1CBUUVEYNQhVVBRGDUIVFYVRg1BFRWHUIFRRURg1CFVUFEYNQhUVhVGDUEVFYdQgVFFRGDUIVVQURg1CFRWFUYNQRUVh1CBUUVEYNQhVVBRGDUIVFYVRg1BFRWHUIFRRURg1CFVUFEYNQhUVhVGDUEVFYdQgVFFRGDUIVVQUJpwgdDgcK1asWLNmjezWhMQ777yzbds2BQ3YtWvX4sWLy8vLlTKgsrLyhRdeWL16tcfjuXzqiNHU1PTmm2/KdVh8qBQXFz/zzDMvv/zyiRMnFDEAAIqKipYuXfrtt9+G9/VwgvBf//pXbGys3W7fvXt3eKV2ncLCwn//+98//vijUgbYbLZvvvlm3LhxGzZsUMQAQkhhYeGYMWOampq+++47RWzwYrFYVq9ejeQ+Hy5IysvLMzMzb7/99qQkeQ5LDpXm5ubCwsK8vLzt27dbrdYwcggnCA8dOjRr1qzx48fv378/jK/LQl5e3q9//WvvEa2KwPP8zTffPHbs2MbGRqVsKCgoyMnJqaur02jkOag9DC5cuFBSUpKVlaXU8V4OhyMuLs5gMJgUOkDuzJkzjY2N6enpY8eOZZhwjnkPpxK7XC69Xq/T6VydHLDeDeh0Op1Op+C5bnFxcSNHjtyyZUteXp4iBiCEoqKiDhw4cO7cuQEDBihiAwBYLJYJEyYkJycr9Sasr6//6quvVq1adfToUUUMEAShqKho48aNJSUlLMuGkUM4QchxnMfj4Xme40I7FlheFD9Zsby8vKSkZPr06YqULorivn37ZsyYMXny5CNHjihig9Vq3bx589atW3fu3Llv3z5FbMjLy3vhhRduueWW7du3K2IAxnj48OFLly6trKw8d+5cGDmE8/YcOHDg/v37a2trhwwZEsbX5YIQIkmBzy7uBkRRXLt2bX5+vlItkXdMmJCQYLVaU1NTFbFBr9cvX77c6XQePXo0LS1NERuKi4t1Op3NZjObzYoYYDab4+Pj6+vrOY4LrzKE8ya84447Pvvss9LS0vz8/DC+LhcGgyExMVGp0svLy4uLi9etW7du3TpFDGBZdtKkSUuXLgWA8ePHK2IDx3EDBgzIzs4eNWpUfHy8Ijbk5ua++uqrBw8enD17tiIGpKamJiUlPfnkk2PHjg3PCepx2SoqCqMu1quoKIwahCoqCvP/PXcBle4WXUkAAAAASUVORK5CYII=", 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", "info": { "equation": "2*15=30", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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"info": { "equation": "2*15=30", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
73a69bae9454a8dfb2c453da66cdab4545e12ba9fc8d2a9745d63419841fe0c5
59
3,693,415,908
train
2025-09-16T02:27:50.605723
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 3693415908, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'1', 1:'8', 2:'/', 3:'5', 4:'=', 5:'9', 6:'8']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [6, 6, 2, 8])</answer>", "action": "('move', [6, 6, 2, 8])", "reward": 0, "image": 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", 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", 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c2GE94Zy59R9/lLFvuRShBYw5jv3Xhh3G33859ouvjOPHe9uINttP48f7zejc7HrC1uOE8I7Ly1PEi/aYh6Y0rf9D86lTnVGEFBeli81yXzqBEA0ALMscOHT0dLXnzkdmym4LQtcTYkIAIfGS3Xj78IZ/fGff8/1NUITt0RO2IgiC5PYAQtju1vbvbhzWy7Z+Y8eL0LZhY+xv83GUHgQRAARBHDFi8DnqU8ehw61FGHRO9WbXEwZFIpzFTNGy6Qn9QBSjTxzmaaogohsQRVHU6fKqKbMfjjLFdYa5MPWEEmaSYmgdh1iuM7y6zrRHTxgETGiTgYmJQESGVTsUq+EsZsQxRBABgGBiio26qOPAd9DeO6casEbnZtcTBoAYyrXvpCTJoycM4pXktp/5DotOQBRD09/vO/pT6ZmvP1h6puxEp5gLS0+IWMZTVCHYXES4GXS97dQT+sNQwtkLnop6IsiwfBQLHtfek9jZ7B3sQCztKiwX7M1E9PlDYIyDrZK7qfWEPj8syyAKAQIqUtf48TZ9eh/DkCEd9yEQLDg8jkqEGACgabroeOndc6cMz0k7sm9LZ5gLSU/IsszlsSKjzrmtEAQm9k7ZxgYVpD16wquCQFMAQOk0fElV84kq8+/aFHy0n8TfPWL75gBp5oGhAYAy6hwbDjBaU/SUKa1tvHOqgUl7c+sJW53Goss9+87bzAkx1Q+/7T5+NmvPfn1mXxl88IPgxor1gv0MIJplmSNHf9rw3Z5nn7y/trb+7RXfLH7tk4SkbrLbPPfyyxXPPtv6NEMD/DAw5dy4zAA9IRHtzon5IzOz02t+v8ZmPdL73VUx06bJ5YbiesKTU6e23iJogLK0+OOT+/vqCb2IDmdOTuboccPq39148cNtXR5cmPLccx13gIjiqdlz7IXfxz09w5CXVbvovaZdx/p88kXUhAm+zSS7/cSoUa7CwsufCktPGHIRAsAPM6a26gnPdzMZ3vnf8RPnhHqSoBBJ2p2W6qsnHPbxen89IYCr+uyB9HQTBgBgAfbe2vdX6w5GdljKFIj7wlFH1XZEcwghQRRf/cvK2TPz03tZANDmLbsq6tCiF1bJbhQATv3yl7UffogACEDi3Lnd/rFSkiQ/PQkhZE+fXrrKczQAC1CYbR7zzfa0bv6xCo8mq/XE+PFegwSgx1//ep31hABw7qWXTi9e7A2CafDg9D27RYDAJdqHbr8Nb96uAUAAld0izR98kJc3Jdj5QkZ0u3Z3SdY0NCIAFuBwTpeCdd93Nftfdu0njh/MyrqiJ5w0YP4X+3WhKDz/LfWEtqiIiqkDxqEIAWNDRleDTHpCfwgWnOeBogGAZZjjJ8u6d43vm5Hq8YgAMG7ssL//Y+OF2qo4sywi0qvo/n//17oY1bJsGc1ygWv4BExOTug74VKqREAXbzINTJQcLlms3yB6wuRnnxUbGsSGBgLQ5cknGY02aLIeG979Fr2boWiOpd35mfLqCYum9J/oxCIm+uTYyL6xksMFAe92vRSp/U/UExKPEDG6f5LcekI/XLUHPLYSRLE0TVXX1H3+5ZZ7FrxIaCchdQjRFM10S4p465VHn3lpjUYnc/3TRmOPFSuu3YaIgtY/VjJw4+gJAaDb0qU/24Y1RZhfvafz9IRJqp4wOJ2jJ/SDt5/1LsViGKbqbNXYyfMH3jJJdNd7StcCgCThSQVj3lv1pc3WYJa7CNtJu2IVIjeUnrBdqHrCmxVX3UHBXYsQjRCqrb2wbsOenhnZAEBzkTQbAQQTQiiaSkmO++IfLzjsdqX9lQ9VT3jdUYvQH4m3u+uPuGoPepfIaDTcjt2Hxk7+ddagPABAtMbYbQKiNQCE54WC/NHDB8RVHPsWyPV7A0Xncq25L1VP2CmoReiP6K63n7V6Z0Qoiqqtu1haWjlu0i9bG7CGJFpjIgQDAM8LFktKF5Pjur6CojNpa+7LqydkIMi7Ty836QQ94X8IN5ayvp0Krs6DYMlVd4hiL49MUhS6eOHigBHT9BFXSaUMiUMby7/x/luSCCFud90hvTlXLjf4qqriliWg6evWcSnyD8C2xY2jJwRJ+mniRP7CBQLQ4803jaOu93Y31y0bwylC8eceS8KGP3+etzsAodZBUVofZMyD0+g6zQcieRpa80wQ+J4ZA3LTZ/s1olgjEOmKgo5IkscmlwfY5SqdOdN+9CgFgAFKZ87sY7VSAXHgOK6T3sJ2g+gJy+6775LV6t3to/TOO/sVFrLmIHu/YUzCmOtuD4F6wqDZyHLaDmZjOEXYM60rfY3XDYQLdjrLZ8+2TEgCypt+QFF09RefVmSlt+qYAIAA8bgdqanJQbsuHQVRXEQ3vqms9XW6msgg/RxEc4w+UXTXezMPURwbEbKeui0qFixo3LfPa54GaNq3r+yhB6vnTvbTE0qS1LVLrHcGQS7TrdwIesLa1au9QUAAnpqaslmzGp5+2E9PiDGOjmRZTv5l64F6Qgqhyk8/Ks7oDr7ZSIjb2Zhq6VA2hlOEw3KzHfUnvVcfQgiWaUzizGOP2XfvvuXFpbjlAo9puuKJ37MzB+kmDPTVE+r02oHDcsSWoTlJwnJdChGiNDF9mxtOUozuGv0citFzUd15ZzVFa4FgoDlttDxLVWqWLatdudJ3tQUNULdq9dnynQH7E6KRI3Jwy6A8xljeG4Jp8mSlVFEN69adWbzYNwgUgG3nztNVhX56QgnjITnZDMN4HwoIIXJdmk8/+FDzoUPD37qr9XEDI6ri0afR3bn6Uf1asxETbDRG9M8dKAhXsjFUWyEXIe+ocl4qQxTttdc1JbGnWZ53zNjWfxtz11hIiCSSBACCIOYMyapJjk2MTQqiJ2zZtlYUxfG/GGqMkG2mjjMkRfe6s6liPcUajJaJbfVztDGZFBdpr9zMGS0RSSPkmqsMa39CEARxSE5WQkqiPE4oTch6QgkDgChKPbqn6LvIczUM1BMOHz6gNuaLZLMlxi8bMeGFlmyUpFvHD9dqQ1uxEPo7ZkQ3Fl0UrQUAQoiGYyIi5HnbH2I5rlsc0nLE+75XTCKjIxv0Gg++lp6QEBIVZZDx8RjRHBvRJSZzPoJr9XMoRq81pWsi0xCiZey+h6cnJIRERGg18k3ZK0t4ekJCiFbDGgzyLNkJqie8pGU9WLr2H8IUpaeCbaF5LVuhOsdoTIwmumVajCDGQHHy7A5LBN51sBQ3OVsVXM3HKoQGBxGla91nCKZ1SbLviIIQ3Z6RBkTJPIAW9v6EtCYO0TfJu0/D1BMSjFgjxUXL40MwPaFod/9sNjK6LqGOUYVehLp4Rm/GWAAAgkWaM3ER8gygJy58tGlzodTootjLCi7nth9RMx99+/BAPSHD0N7kxxKviU5H1I011xI26v6EEKKekGFo7xIfjAVGG8vq5XkmD6In3HiIYRhTQU7wbAQAIFjiNTF9Q337aDhSJom3expOOmv26eIG6OKyaU1UqGcIDsZl9957accG8xPTDfk5dYtXubf9uD0zwZ7rrycEAAlLc2cWmBNiDCkTGL1ZxsX7itNuPWHn7k+oLCHoCQVxSE7WqFv6M6YsbWwWzUXK4gARxVOzZ9sO7zIvnu3VE7q/P2kdmNQ8sDsEZCPB5O45k6JjTBFdJzK6eESHNlobThG2GBblv/9IUtGgwU0/Xp4i6/78C3FPP4nb6ANwHEtRSPYH0RuB9ugJvXTS/oQ3Au3UEwIAzdAsQ8seBOx2F/XPdpwq9WZj2uuvxyx4uM1s1LAUCjMbwy/CTqK5pKT6tdcQIUxMTHuULDclkt1+5rHL7wuzLFtGG2+S58xQqVy0qFVPqO3d+/o74CoqOrf8DQoIl5iY8qc/dZKVG64IVVT+01AXcKuoKIxahCoqCqMWoYqKwqhFqKKiMGoRqqgojFqEKioKoxahiorCqEWooqIwahGqqCiMWoQqKgqjFqGKisKoRaiiojBqEaqoKIxahCoqCqMWoYqKwqhFqKKiMGoRqqgojFqEKioKoxahiorCqEWooqIwahGqqCiMWoQqKgqjFqGKisKoRaiiojBqEaqoKIxahCoqCqMWoYqKwoRThE6nc+nSpStWrJDdm5B47733Nm7cqKAD27dvf/bZZ8vKypRyoLKy8vnnn3/nnXc8Hs/Pt+40Ghsb3377bbk2iw+VY8eOPf3006+88kpJSYkiDgBAUVHRkiVLdu/eHd7HwynCf/3rXzExMQ6HY+fOneFZ7TibNm369ttvf/zxR6UcsNvtu3btGjFixAcffKCIA4SQTZs2DR06tLGxce/evYr44MVqtb7zzjtI1h2L209ZWVnfvn3vuOOOpKQkRRxoamratGlTXl7e5s2bbTZbGGcIpwiPHDkyderUkSNHHjx4MIyPy0JeXt4jjzzi3aJVEXiev+2224YNG9bQ0KCUD7NmzcrOzq6trdVoFNsj9eLFi8XFxVlZWUpt7+V0OmNjYw0Gg1GhDeTOnTvX0NDQo0ePYcOGMUw4O3aGk8Rut1uv1+t0OncbG6xfB3Q6nU6nU3Bft9jY2MGDB69bty4vL08RBxBCkZGRhw4dqq+vT0tLU8QHALBaraNGjUpOTlbqTlhXV7dly5bly5efOHFCEQcEQSgqKvrkk0+Ki4tZlg3jDOEUIcdxHo+H53mOC21bYHlRfGfFsrKy4uLi/Px8RayLorh///7JkyePHTv26NGjivhgs9k+//zzDRs2bNu2bf/+/Yr4kJeX9/zzz0+aNGnz5s2KOIAx7t+//5IlSyorK+vr68M4Qzh3z549ex48eLCmpiYjIyOMj8sFIUSSgu9dfB0QRXHlypUFBQVKXYm8fUKz2Wyz2SwWiyI+6PX6l156yeVynThxIjU1VREfjh07ptPp7Ha7yWRSxAGTyZSQkFBXV8dxXHjJEM6dcMaMGV999VVpaWlBQUEYH5cLg8GQmJiolPWysrJjx46tWrVq1apVijjAsuyYMWOWLFkCACNHjlTEB47j0tLS+vXrN2TIkISEBEV8yMnJee211w4fPjx9+nRFHLBYLElJSYsWLRo2bFh4QVC3y1ZRURh1sl5FRWHUIlRRUZj/B0K1T0OimHNQAAAAAElFTkSuQmCC", "info": { "equation": "18*5=90", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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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": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
347348e403f4b5622a87fd63106a5dad44c5ed2998ff636d154018930518cd5e
60
2,609,385,266
train
2025-09-16T02:27:50.621095
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 2609385266, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'7', 1:'8', 2:'+', 3:'6', 4:'9', 5:'=', 6:'3']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [2, 7, 6, 5])</answer>", "action": "('move', [2, 7, 6, 5])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "78-69=9", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "78-69=9", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
a58f65b3c18a5248a54dde22ad119727dcad0942115839c96f28e71e44e05e33
61
2,921,898,630
train
2025-09-16T02:27:50.641116
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 2921898630, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'1', 1:'2', 2:'-', 3:'1', 4:'9', 5:'*', 6:'7', 7:'=', 8:'7', 9:'4', 10:'5']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [8, 0, 2, 7])</answer>", "action": "('move', [8, 0, 2, 7])", "reward": 0, "image": 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", 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NKQ2XKYRrael98SU5rKKte0k4rNxPOJTPeQNC78tr9k6skFMosm1b2fzKwruvNd3xXMaWnVCj9KLN+3y9//8FOZjibfu3vrM2DARRkAghH7066amfQYal93dvuNtvMhTEHXc9o35C4EWJkJHlpSNGFBNJqGvwX7ToboVtrsjBg/umTSOhEABggF4LCv1uEWs3U0IwxtOmTLBYLMDYssZdh075jKuxn9CTBRKhGE+dNcVhNEpRvnXBfePe/cg6qUptYEQc7DvwEqUSQjgSCX+49cj3fv4HtSJxofTgggX+TZuODfel208Yj+Ybb2x/5pkhC19qfkIM0GPHg/ctYq0mSghrNk+fNdWIMNfc0XnDcxN37jx1P2FRxYix5aXUZOj81XOWnGkj/vBEPJEz6ieUfVaiKEmSRCmtmjhaea8H7/OJoZCcHwQgD5vPOWc663ZRiQClvCBSSkEMi4PtBrvSaZnx0NhPWFkmT/wXeIEIEraYTZOKo18eSaEIMWMx2Iu5/i8NJmP93oP5pTPUKiSC0mhj49ABSbufMB7DLHyp+QkJgBtbys+bwWQ7QSKUUkEQCUiGgmzGYxW7e7XxE3I8osQ2d1L0nS8TiCQqQs39hIQ74W7bZlUxHDwsGIKAEwSJ44/ZcAAAgBKRilHlmnG/69T8hEP99bKfEDg+1n2DWIbNcyGsvhcOABA2ZY7mBg4DJZzInDvrklREEsgP2/G0+gnjkfLROUkK8QLD8RCTQshiYrKcqec5/VqeU8rkZiBzTwKRM+0nPOG7TZkK1U4SjCh9bS4LRawZG5XOf0/0XZr7CYdAQKM8f8in3LF2QiREiPTsZjDT6+/fsf2zLe+vSUEkkf5wd1w6/YTxSPnonCSFhuUzRqQvJLR0guLJL8n9hBjzjT4ymMjXeyb8hCzLDvkJ5T+EECWSwaa0twMArBMmmNzu48FUjjDlu1iMj2kyDFCCGTNjzVWuGQ+N/YRoyGDGAsZSOEJ6OeuU6hQCoxInRXoxw/b29s05vwY4dTMnk4CQ4/zzzx4/YTycMYfjlPyEk8pNORnHU4hlEMMInUcZQ6axWGmLJoGf0GBgMcbYaIjubHKcOzuBSKKOGQDw3XOPd9kyBEAAxn/8cYZiDy7v9e6dVC30+VmAloKM+qtqmK8uXKIoLrjk3KrpF5tzZyBGxR2p7/77W+++W+7sqZ1fGRjrxoIEgAghmS7HkkULXGXzDfbCU+8dpZL0xaxZsp/QWFQ0af9+RvHZ5+jLLx9asgQDMAA7z6vomF6OBREAAaVGRJcsuTR41wuOGZeWPPBgCoFFju4N+f5hMBhfX//hebOqd+w8MPuyX5WNGp98S2VEDx3aN3mKFB4kADmLF496+WVVm2vrJ4yHGAjsm1gZ9bVRAMfMmRP++U/lzwppu/tu7/33y1ee2oVVAxX5SJQAEJFItsOy6IoLfDc8VnTHg7lLlyoUlILB+okTudZWBqAn27bjmukY42N+wmh07ryaMX6u5+mPq3bswrb4Xbip+a+UsP+/f7wFYCvA2/f97LgZLByOhMOiwKuSkhF6e+tyczcD7J8zh+OisYLRSIQQMQXNeKTsJySCUF9VtRlgd0VFNNB3fMcj4dpzptcCfIzgn2+o8BPG4j+w5ujep5q2PPzUvVcEvnju0zdvf+X5B1OTisfeJYvPHj9hPBrvuSs1PyHf1fVZZuYWgC8uvDA2hYJHe/9R4N4OsMnGqvUTdqxc+U+ArQBHN6yP9RM2Pf/c3wE+BVj3X3O5hAqn0U/YWl3ivnyGKT8jMqliyFZ3KrDZ2aUrVvRt3uz+/veNRhWX0BRI2U+IWLb44YfNr7+evWCBKcM1tJwCdM8dP8bDcmXZkTwVfsIhiDBIpAjDMN09/jEVRQBoRElhc2enJEmMmsdGJaa1puzs8RPGwzvOnZqf0JCXV7p8ef+2be4f/Sg2hUIY+uZPHt83gCZ41PoJc6+/PtLQwDgcWZcuhJgD4S/LY+dPycpwBC6ooYIA8TuQTqefsCDb/fD1DMK+fRFVGyYg57rrcq67Lvl6p0zKfkIAcF1yieuS4f2WKfsJh4j07iZCCLDhs8+bLr7sGiL1GI3mgd7G+p1bJk+fm4LgSTmr/ITxSNlPCAC5P/xh7g9/OGwh5YSU/YRMRkbZs89+fTk2sfm/vSbfnde87XBiQ9zp9BMSQkKcqmf7nUWk7CdMIJmSn3AIMepHCEejkfJx54yZdmXfwTVEDM6smeAPdGoVIfzb+wnjcSp+wnhQIINREookHVP4j/NG/IsiRo8Kgz7WYNyz9xBlbAAIG2yESE6n48DnH0ajGoyOngq6n/BU0IvwXwDCBwc7aikRgNLefmn2Bd8BAEvuFABkt9vnnVPe6/08vRHqfsJTQS/CfwHESA/Xfxhjo78vgAxOV1YOALDWfMQYCZGyMp1Z1jRfCc+0n/Dfi9M5Lyl9L/RJL93PPut75hn30qWe227TRJDr/xJhFiGIRrmR48+VF2JsMNqKo4FGwCgaajNLHFYz6Kotsp+wZ80a/JWfkHtqLZIkACRJ4ojSgiv/a4GGfsKzCr69/dDChYzLNWbjRmxJZRQgWe8opSSlCVYAwB/1Q4EVTjYFUeKDCLOY1WDc4jRBiPycXtVIwaDvgQciXm97e3v+93+As45NzWOw8jl/X9MUBwGASGK+p3TcuMuPLUUYYYM8Q56IEaAqOjMTfZdEUrs/OpN+QinVnIwHpZBynnc+8cTArl0A0PvXv8b6ORjGQHlFhzxJEVrMpqysDKK+hzC8o87wj4/YGYtAEMJNB//x9hoegewnHFFa4LF1E2R0FF/AaDHV83SQlZVBj5pSKJvuVasiXi8DIPb0NNz7684Fc2U/oUSomZVSs1mx5mwh5AWgrCULxcwtZsyZ8lwc1uhCWJubGrc7G6H+FDY8Y35CAMjPzWJQn4aCRgOTm5OZQh3yPl/388/LB7Vj+fLGoowhP6EQ6qiusCk5lSc5cg6nvbggn5Bj7zRVHlzb75aNGOtkDAxBKPDhx4Ob/268dLrsJwxCQe7IEaIQFcOdZ20RFhXmB3gbpVTVCUjo7u547DH5kCCArj8+25fdKfsJCaVjp1Yde6ueypOa0V4Y6d5JgRqs+bGXKYO9CAGlhLCWXITVPZQhHhUVpeGevQCpXBm0euxiUsrLigd8LadymzYMs9k8orRQ4gcoparuWDpWrOD9fnkULnz4sO/J+477CYvcdnsFpVLSIJMUIdffLAhhjJnCgrxMj4q50YK/037eRYSXEMtUTxzjCAvD/IQIs1z/EZNLy+ejaEjY30gBCCETx5WbTErzO6mfUJKI1WoaV6LumRQGW6E5p1LiAubsibHLGVOmxT2dD3xpzddmriYRI9H+VkCYYZjKiaM00dQcSkm47zBCmAJUTRyjiSYfahMi/YBQTnamvbRA+YbJ308IZOL4CmPCWThJipCIYaASpYzJwBrVPCYM2y1MlkM+qdhdDj7U+3U/IREHlQueYeTYKKVWiwkrtx4r8BNijK0qHyWEGKOj6BtAybBmFcKsLX+GLa9Gs+YWlagYBUAIIaslbd08yaBEDAMgAKrKkppIUYxSIiLGwLKMWc1juJL6CSkFq8WEEqZQkoPHmjIRNgAliLUiRsWNvuQP8s1dCGOgNHrAS8WTXJGTvrctjXwVG8UmlwpbRlI/IQDCLDamMnc0bqVp1+GBsAEbnUCpbB/WSlZrEGvOkn9drYLERidiTUAJZkxIzTiKkvcTJg0yWRHaPAixlErY6MRGpXYeALBVT4vWH8YmFmHMN7Q6Zow5RT/hGcZgKwQiUSKyVrdyn3UyPyEDQBFiWZuKudFnEsSYWEs2JRICOPWnhJwmEMIGaz4lIhDJaNcmhVhrHmZMlEqYtbLmHOUbavJ+wiR+QqCECxwKdWzLKFvIWlQEx7e2NsyZlf/o97jNDbs3bN59+WTmq+9J2U94JqESF2rfQoSQo+RiVUMpCfyEJpNhydXfyh8z3+gcqeHlS1uIEOr/coPJNdaSW61Vj6vmEDE80PIeY3LZPechRpMeKcoHW4PeD50llxjUFHYiP+HQ+wnzZydOoWRFKAdIJYRUz8Nuve0X3sceZQDGbd1qmjI5dh6TwcAy7Nn4tvoToUBB7RO4qSjumzo1UF/vrKgYW/cZNZmO7zgCk9Fw1mb2cb7W+DwbOQ1BppbnnU8+efjmmxHA2A3rrZdcEjvjn2UZ1mBI2pxRlBApRAYA7ltvEQIBc0lxxqxZKWx+FoBSmFAfz0/4r8TZX4FwWoJMLc/j+QlVfG9q80J0dHS04l/hnKej82+NXoQ6OmlGL0IdnTSjF6GOTprRi1BHJ83oRaijk2b0ItTRSTN6EeropBm9CHV00oxehDo6aUYvQh2dNKMXoY5OmtGLUEcnzehFqKOTZvQi1NFJM3oR6uikGb0IdXTSjF6EOjppRi9CHZ00oxehjk6a0YtQRyfN6EWoo5Nm9CLU0UkzehHq6KQZvQh1dNKMXoQ6OmlGL0IdnTSTvAjXrVv33nvvafut69evb2tr01Bw//79zz77rCR9/RWNKSKK4sqVKz/99FOtBGXq6+sPHDiglVokEnnkkUdee+01rQQBoKur6/HHHw8Gg1oJBoPB5cuXP/TQQxzHaaXZ3Ny8bNkyr9erlSAAvPvuu2vXrtVQcO3atf39/S+99FJtbW3iNZMUYSAQ6OnpaWtri0QiWgV39OjRdevWBQIBrQQB4PDhwxzHaVjYhw8fzsvL279/v1aCMhs2bGhpadFKrb+/v7CwcObMmVoJAsC+ffvsdruGO242m+fPn28ymTQ8RdbV1VVWVtbV1WklGAwGOzo6AKC3t1cTwdbW1o0bNzY1NYXD4aampsT7nqQI+/v7y8vL3W63hqfGrKysJUuWaPg2KErphAkTRo0aFY1GtdIsLy+fMmWKhoIAEA6Ho9Gow6HihceJ4XnearW6XC6tBAHA5/NVVlbm5eVpJWgwGCoqKkpLS61Wq1aaRqMxGAwKgqCVYDQazcnJKSws1OraUFRUdNVVV3V2dlZVVVmt1sR3AUmKUJIkhmEwxoSc5KXzqYEQslqtGhYhQqi8vNzv92ubOk1NTTabTStBAGhubh49erTZbNZKUBTFjz766I033tDwx/R6vRs2bNAwvwGgpaUlM1Obl8vLOByO119/XcPD7XA4urq63n77baTynbDxwBhbLBae541GIwAkLp8kRSiXH6VUq+BkNH8ponwvoeGR9vl8s2fPZlkt36q7devWjRs3angT5XK57rzzToSQhjVTWFi4dOnSxsZGrQQBoL293ePxaCjY1dX12GOP9fX1aSWIMa6oqPB4PBoecUIIwzCiKAJA4vJJ8pV2u727u5tSquG9hByftnW4ffv20aNHa3iy8Hq9g4ODGjZjAOCyyy6z2+12u10rwf7+/tbWVoZhNDxF5ubm9vb2ani5BoDu7u7q6moNBQ0GQ3t7u5zfmhCNRgOBQFlZmYaNBUmSXC5XS0uLIAjy9TAeSa6EOTk5gUBAkiQNgwMAp9NpsVg0FNy3b9/q1av9fr9WgmPHjn3zzTdHjhyplSAA5Ofn19TUlJSUaCXo8Xjeeecdl8tlMBi00iwpKVm/fr2GNSOKos1m07bhWllZ+eKLL1ZVVWkl6HQ6e3p6jh49mpWVpZWmw+EYPXr0kSNHHA5H4gOkvy5bRyfN6IP1OjppRi9CHZ00838iD6vhy7VWggAAAABJRU5ErkJggg==", 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LbpyvXSguwe3b+z/4gAFAALmf7qF3EfX5hNYJE0p+97tQQ4P7rrvMKS2XqYRvbu55+RXFrKJt+0kopL5bFPXn3AGx59U1+ydWYJlQgPD27WVXVRbe/0Pz3c+nbd0NNWobbcHr7fnTi4oxxdsPbntnbQgIoiATQj75y6SnfwVp1p6H38hvu40riLvumugnDtfXd7/6avQM75IlJBhUaZx38WI5EkEAGCCwa3fHS8uDHZsDLR8GWj4sSA+ZLVZKKdGy/hY+fLj7pZdOGPO7J6XebsAMAA517gp5twCloa7dqbWxQ+j5059CR48q2zUj3d1ty5erLCh2dbU/8UT0HtC+8pm+HWsD3o8DLR+KlmN5S28BFmf8/OqeDa+H9tWlYBhnz0eYBaAIoWAwKFJrbr7au0NyKPUuWkQkCZRN4R9/NPDRR5oECu6+u2L1asvIkbqZdDraly4V/H6ldgIHD/a8/LLKgkP82fPwg/1fvhVo/SjQ8gGMFHLu/wEglHHrNW1PPpG0A3nCmOXL+d5exZhgwxHvyoeifp5xxxW2GeOs1aO40ZneR5cmEPlG8wmVPCtJkmVZppRWTRytftZD8HqlYBB/rZkFIEtAERBKqqsn2B0uUZRACkmDbZxD7bbMeOicT1hZpuSOiIJIRBlbLeZJxZGvjtkmVWk1DDNWzlHM93/FmU11+w/nlU7XqpAISiMNDdEK+XbnExKAfGwtv3A6k+UCmVBKRVEiIHMFWYzbJnX16JNPyAuIEvvsSZF3vkogkigIdc8nJPxJvW27TcNy8BBjCAD9+n9RlJQGkBKJShH1mnG/68zyCaPz9Uo+IfBCbAIXYhk2Nx1h7bNwAICwOWM0P3AUKOEl5oKZV6YikkB+yIV/q/MJCQJeEBleOJ5uppxjNTOZrtT9nJ7i55QyOWnI0p1A5JvOJzzpu80ZKtVOYwzAKXtZKGIt2KR2/3ui79I9nzAKAhoRhCPe1BIgKRHD3XsZzPT4+nfu+HzrB2tSEEmkPzQ77ludTyjJQ/0ZI9IXFJs7QPXml+T5hBgLDV4ymCiv95vIJ2RZNppPqPwhhCiRObuG8YxtwgRzfv6JHMKxhUyWS4lDhsEsywAlmLEwNh0SC3XOJ0TRBDMWMJZDYdLD26ZUp2AYlXk53IMZtqen7+KLaoDXtnMyCQg5L7ronyifcFK5OTuNxfiEWzKM2NHLcBmmYrUjmgT5hBzHYoyxiYvsbnReMCuBSKIHPQGA94EHPIsWIQACMH7z5jTVObiCx7N/UrXY52MBmgvS6q6vYb5uuCRJmnvlBVXTrrDkTEeMhh6pd/HilvvvV9JYN18yesLNl19y/uTmlraX176fn5e14Ma56WVXcY7CM58dpbL85cyZSj6hqaho0sGDjOq7T++rrx5ZsAADMAC7L6xon1aORQkAAaUmRBcsuDpw34vO6VeXLHkkBcPCvfuD3r9xnGndho8vnFm9c/ehWdf8d9mo8clLqiNy5MiByVPk0CAByJ4/f9Srr2oq/s3kE0p+/4GJldF8wgl//7v6Z4W03n+/Z/FipeWpnVc1UJGHJBkAEZlkOa03fu9S70+eKLr7kZyFC1UKyoFA3cSJfEsLA9CdZd950zSM8fF8wkhk9pyaMT6++5nNVTv3YHv8KdzU8q/UcPA/frYVYBvA2w/96kQ+YSgUDoUkUdAkpSD29OzKydkCcGjOJd2+ns2v3TNw6Pl97z+wd+fmSDhEiJSCZjxSzickolhXVbUFYG9FRcTfd+LCw6Ha86fVAmxG8Pc3NOQTxuI7tKZ3/9ONW5c+/eD3/F8+/9mbd732wiOpScVj/4L53+J8QqGz8/OMjK0AX152Gc9Hog4Z6O35W0H+DoD37KzWfML2FSv+DrANoHfjhth8wsYXnv8rwGcA6/9lNp9Q4SzmE7ZUl+RfO92clxaeVBFNqzsT2Kys0uXL+7Zscd9yC7WeuK+YTBazHvqxpJxPiFi2eOlSy7p1WXPnmtPSo8cpQNfs8WPcLF+WFc7VkE8YhYiDRA4zDNPV7RtTUQSARpQUNnV0yLLMaHlsVGJaasq+xfmEXG5u6bJl/du35//0pybTiToNYui7avL4vgE0wa01nzDn5pvD9fWM05l59TyIqQhfWS571ZTMNKf/0hoqihB/Auls5hMWZOUvvZlB2HsgrKlgArJ/9KPsH/0IAPr7fLFm6qUfJeV8QgBIv/LK9CuHzlumnE8YJdyzl4hBwNznXzRecc1NRO42mSwDPQ11u7dOnjY7BcHT8u3OJwSAnB//OOfHPx5ykPJiyvmETFpa2XPPnXocm9m8/70pLz+3afvRxAlxZzOfkBAS5DU9208DKeyr1kTK+YQJJFPKJ4wiRXwI4UgkXD7u/DHnXdd3eA2RAjNqJvj8HXpZCN/6fMJ4nI30VApkMEKC4aRrCv90uRH/oEiRXnHQy3KmffuPUMYOgDBnJ0R2uZyHvvg4EtFhdfRMMPIJzwQjCP8BIEJgsL2WEhEo7emXZ136rwBgzZkCgBwOx5zzy3s8XwyvhUY+4ZlgBOE/AFK4m+8/irHJ1+dHnCs9MxsAWFseYkyEyJkZrkzbMLeE33Q+4beLs7kv6dx7oc83Q9dzz3mffTZ/4UL3nXfqIsj3f4UwixBEIvzI8RcoBzHmTPbiiL8BMIoEWy0yj7UsuuqLkk/YvWYN/jqfkH96LZJlACTL0ojSguv+Za6O+YTnFEJb25F585j09DGbNmFrKrP0yWZHNeY6xCL0+qDABqfbgigLAYRZzKa+rnAmhqmBEOU5vZqRAwHvkiVhj6etrS3v32/Bmce35jFY/Z6/UzSlQQAgspTnLh037trjRxFGmFN2yBMpDFTDZGai75JJav2jbzKfUNa76imFlN2p46mnBvbsAYCel16KfT8Uw3BUUFXlSYLQajFnZqYR7TOEoZ27uL99wk6/EUQx1Hj4b2+vERAo+YQjSgvc9i6CTM7iS5lUt3qaTFx2VkYKhqkkMzON9ppTCJuuVavCHg8DIHV31z94T8fc2Uo+oUyohZVRSo7IWrLEoAeAstZMFDMtzFgylL04rCkdYX06Nfn5WQj1p1DwG8snBIC8nEwG9ekoaOKYnOyMFOJQ8Hq7XnhBqdT2ZcsaitKi+YRisL26wq7mVp6k5pwuR3FBHiHH32mq3rjWhxeNGOtiOIYg5P948+CWv5qungaCJBMSgIKckSMkMSKFOlIOQpvVOqK0gIiDWg1TSVFhnl+wU0o1xbmSTxh9Z1vn75/ry+rg3JkgE0Lp2KlVipbWe4fJURju2k2Bcra82GaKcxQhoJQQ1pqDsLaHMsSjoqI01L0fIJWWQa/HLialvKx4wNusY2/IYrGMKC2UhQFKqaYeS/vy5YLPp6zChY4e9a58KPp+wqKifIejglI5qZFJgpDvbxLFEMZMYUFuhlvD3mjR1+G48HIiyIhlqieOcYbEIfmECLN8/zFzeorPR+GDLWJkACGck5PpKtGwt0MlIV8DBSCETBxXbjar9e+k+YSyTGw287gSbc+k4OyFluxKmfdbsibGHmfMGdb8aYL/K1uePns1iRSO9LcAwgzDVE4cpYum7lBKQn1HEcIUoGriGF00hWCrGO4HhLKzMhylBeoLJn8/IZCJ4ytMCXfhJAlCIoWAypQyZo41aXlMGHZYmUynclNxpDuFYM+p+YREGlQveIphYUplQJjjWIvGfUbq9AcBgFJqs5qx+o0BKvIJMcY2jY8SQozJWXQJUDJkWIUwa8+bbs+t0W24RWUqRQAQQshmHbZpnmRQIoUAEADVlJKaSFGKUCIhhmNZxqLlMVxJ8wkpBZvVjBK6UJLKY80ZCHNACWJtiNHQ0Zd9AaGpE2EMlEYOeah0mhY56XvbEhlmSkfYpKQvobMw8f21bRSb0zWkZSTNJwRAmMWmVPaOxo00/SY8EOawyQWUKunDesnqDWItmcqvq5eR2ORCrBkowYxZkzupeT9hUiOTBaHdjRBLqYxNLmxSm84DAPbq8yJ1R7GZRRgL9S3O6WPOMJ9wqGG2PMyYKJUxa2PMuj1kLQpnLwQiUyKxtnz1W+SS5RMyABQhlrXr33/WBcSYWWsWJTICOPOnhJwlEMKcLY8SCYhscujziB3WlosZs+JOrCVbfUFd3k+YJJ8QKOH9R4Lt29PK5rFWDcYJLS31F8/Me/zf+C31ezdu2XvtZObr70k5n/Bkw6gQaAq0bnaVXsWdBZ+mMh9s20rEoLPkCk1LKQnyCc1mbsEN380bc5XJNVLH5ktfiBjs/2qjOX2sNadarxlX3SFSaKD5fcac7nBfiBhdZqSoEGgJeD52lVzJaQnsRPmE0fcT5s1K7ELJglAxkMoIad6H3XLnbzxPPM4AjNu2zTxlcuw+Jo5jGTaVB+DqYph6eaCad4pTSTowdaq/rs5VUTF21+fUbD5x4QjMJu6c9ewTnDL4PBc5C0am5k4dK1cevf12BDB24wbblVfG7vhnWYbluKTDGVUOkZqj5//6DtHvt5QUp82cmUJxNZzNCAQAlMKG+nj5hP9InPsRCGfFyNTcKV4+oYbvPRuLbAYGBur5R7jnGRh8qzGC0MBgmDGC0MBgmDGC0MBgmDGC0MBgmDGC0MBgmDGC0MBgmDGC0MBgmDGC0MBgmDGC0MBgmDGC0MBgmDGC0MBgmDGC0MBgmDGC0MBgmDGC0MBgmDGC0MBgmDGC0MBgmDGC0MBgmDGC0MBgmDGC0MBgmDGC0MBgmDGC0MBgmDGC0MBgmDGC0MBgmDGC0MBgmDGC0MBgmDGC0MBgmEkehOvXr3///ff1/dYNGza0trbqKHjw4MHnnntOlk99RWOKSJK0YsWKzz77TC9Bhbq6ukOHDumlFg6HH3vssddff10vQQDo7Ox88sknA4GAXoKBQGDZsmWPPvooz/N6aTY1NS1atMjj8eglCADvvvvu2rVrdRRcu3Ztf3//K6+8Ultbm/jMJEHo9/u7u7tbW1vD4bBexvX29q5fv97v9+slCABHjx7leV7HwD569Ghubu7Bgwf1ElTYuHFjc3OzXmr9/f2FhYUzZszQSxAADhw44HA4dLxwi8Vy1VVXmc1mHW+Ru3btqqys3LVrl16CgUCgvb0dAHp6enQRbGlp2bRpU2NjYygUamxsTHztSYKwv7+/vLw8Pz9fx1tjZmbmggULdHwbFKV0woQJo0aNikQiemmWl5dPmTJFR0EACIVCkUjE6dTwwuPECIJgs9nS09P1EgQAr9dbWVmZm5urlyDHcRUVFaWlpTabTS9Nk8kUCAREUdRLMBKJZGdnFxYW6tU2FBUVXX/99R0dHVVVVTabLXEvIEkQyrLMMAzGmJDTvHQ+NRBCNptNxyBECJWXl/t8Pn1dp7Gx0W636yUIAE1NTaNHj7ZYLHoJSpL0ySefvPHGGzr+mB6PZ+PGjTr6NwA0NzdnZOjzcnkFp9O5bt06Havb6XR2dna+/fbbSOM7YeOBMbZarYIgmEwmAEgcPkmCUAk/Sqlexino/lJEpS+hY017vd5Zs2axrJ5v1d22bdumTZt07ESlp6ffe++9CCEdY6awsHDhwoUNDQ16CQJAW1ub263nK807OzufeOKJvr4+vQQxxhUVFW63W8caJ4QwDCNJEgAkDp8kX+lwOLq6uiilOvYlFPv0jcMdO3aMHj1ax5uFx+MZHBzUcRgDANdcc43D4XA4HHoJ9vf3t7S0MAyj4y0yJyenp6dHx+YaALq6uqqrq3UU5Diura1N8W9diEQifr+/rKxMx8GCLMvp6enNzc2iKCrtYTyStITZ2dl+v1+WZR2NAwCXy2W1WnUUPHDgwOrVq30+n16CY8eOffPNN0eOHKmXIADk5eXV1NSUlJToJeh2u99555309HSO4/TSLCkp2bBhg44xI0mS3W7Xd+BaWVn58ssvV1VV6SXocrm6u7t7e3szMzP10nQ6naNHjz527JjT6UxcQcbrsg0Mhhljsd7AYJgxgtDAYJj5f8sb9yXRGPOTAAAAAElFTkSuQmCC", "info": { "equation": "12+19*7=145", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "12+19*7=145", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
e999eba2e89aaae49a8b4af49fa2eddade7d014fe8e3ba696c13a319bc9a3129
62
732,395,540
train
2025-09-16T02:27:50.658314
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 732395540, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'2', 1:'5', 2:'2', 3:'/', 4:'7', 5:'0', 6:'=', 7:'1', 8:'4']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [4, 0, 5, 6])</answer>", "action": "('move', [4, 0, 5, 6])", "reward": 0, "image": 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", 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", "info": { "equation": "252/18=14", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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sZOS4vIymJ8SEEMKb+Pm5WQDA0NQXB0+uuGOb1Wobb1tGxNlU7GopoWn2woWmAyVN923KnxSzIzIVekJZ9Zidk5c1zWwmDO0+VN5w3ysZRw5/F6VM+ukJaxbG8T+6BsTeSIlOik9OiFXcImLo87kPxmz7VdgD949ucww9IXb3LvVQFEVVVYQgJCQwJiJ+vFUH7/WEqgpOwZKXith35eaW8QbhKHpCTzqOECJJMgCoqjovJ81kmpxLsiK0uVu/RoiiaeqTz4oX3PDgpJi9HFOgJyRC72SaLCuqrICicmlxdKhJPF/9XQxCnfSECCDbLzRq+aVIUVVVcQmeMvtNeY5DR8IeGMPmGHpCLA5SxxACLMNYzJqEWN7rCTGhp9lpu1XDsqJR9IRDcuKEEJvNRE1SklYVuwhRKIp1u5zTwhPzFt8wKWYvi/56QiIOntEmhPazMH5WhL6TaW399IQykOGRAgCIoZnIINQydqd4oSccvJmiTRQf4GWNB+3pvZ6QoaTqZrm1E8b/5Da6nnBICcUHa1y5NBisuJ1NRQAUTVN/P3CENoVM3OYYkCnREw6EopTGdqmpA8BHS50mhn56wmGS9EvbxbIqb5S3l9ET2vr0hAOUfhSFAGOKsbCWCA21H64ntAzXE7IMQgiZeeHrs1xoHD8jbrxeRtMTDmgLAGAsc7aYSbmuq1K3KrQhRBGMewRu9R0bJ25zdKZCT9h3rFiWQRRCPCtW1NKU3TJn9qQ0YYrRSU9IAQQsz2YoNPBw0TQNFEUU1V1cMW3NTWPavKQnPJGVJXd3e/SEZekRtSsyqAFKP0VWrr06NysnxxK5nDYFaqg9ALS///6ZNWuovtoXLJ/VlTF9kJ7QLay/faX9bFPD5j8l79rrf9VSDV7qNm1q2LEDASAAN00dvHWu2qcnBACCsc1qvn39Cv/IXFPwHEqTfn8wpKfuC6GjnGG4ispzh453bNj8yoRtjo3+esK+rne5Vq++NsKp1D70+4QX8oPWr9dW4X8YPeHxnBz3qVOeSKmLCvhmXQ5NLgkBFEHISE1YtmRe9Y//25q2YOb/7vSicn2c2fz4AYBigH0202d7XhsoKvN8ZFkkWNUqwuqlYs2arwC+Aqhcv14cqPRzudxu11c5cwoADgPsTgqpaTyvzYXk6DkYGlwIcBjgzavTmztbhzREcLuwKk+wIf0ortbW0t+2lr3UWf7KrzatPHNCo+JOA1OgJ3S7XIXXL/8K4DDAnkiboSckhHTu2+dpyGGed5SfcgvugYer8rWXPwcoBviSRn9+aas3Bi/NjZ5LDZ+2aq4/z3M5sd3+tiGisski+r/+iwoMRABRmzdzgyeLCEDtValZMWaGYQIXz8SCRg2em0Y1N2Tm9AiM1WS/IpkjlB6qxX5kdysQgmjU2dnpFxSTlJajn68hTI2esHZBYhrfzVG0a5GhJwQA8F+2LGbLFndtrX9enjVl6I/WNseFUNfPCTBb1fRIZ6RXY8ZLQUhb+LCttwcGBTfV1nV1T1TrcTlM8fEJr702YhHBxJwWG37/MoZh6wq+1q51EmT71ZkRSzOBAPr8GBkh9TBpYKnb1VQEiGJo+pNPC8OTxv1UNhGmRk/IGXrCYUT9/OeXK0IIQp5Yp1VP6BGn8RMWp00AoqjY4caMMvISey9BQCQFO9wASEN+dVxg2YllJ1CMqsicNfyGNVqXQmnD0BOOi8nTE47OePWE/1yakUnH2XyYAGIZ+vCRUqfIMBpm6v4JuJyeEIvSsLA39IQGXoNVt6upWHbUIYpGCCrOt6z54SNj7/ZPiaEnHB0jCDWCJYezqRgQTVFUQ0MTYgMips/wdaW+pXj0hANnI23zkkzTQwZOr/VN3uqrJ/x2cumSMzU/b+44fPjcPfcggITXX7fm6JJIRDStMe01HoT2k4BoAKAo1NXtyLxipd4edURngfW3RE/4reVSEApNTRDEAgAQQvEjPBZj2UWwSPMaZ+oBgMhyzYMPOktLAaB648a0A1/BgKWLFIVGWkQ1buSODsXlAoSAACDEWkb4RUNFaKM5P0Rpf4RTpZ5ed7KUkjYvMOkmzaa010HFZOKZJxWLra2Q2jt7Tg+bv56U3Na3QU+ICdFJSjoQFY+7U3rb7PxiP/Ph+6YF/woAFMu1Hzj4pajKKu7XEybPjA0yXZScLbbp1/ABidrq15yf33X4sOdy6CgoOPXMUw156f16QoyJn42Z+DqypiefCM7lCaIQEOQWSt/5kyvYD6kEAAgQjuNyMhOF5oOcf6I1bD5tmqbNC2sNl7prPH9ztvAJ1lkbEeHBPLRP8Fcb29/caSspYq5LBgIUTTd+9re25gv9+RKMsYlVaHoSYsO3ekIA8LNZgoIC9I7D0JBpdJd5XHHIAAB2OM797GdJS2LMFjNxS2Dim19+Tb6ygLl2Tr+esJuP9ZseSbDqvFCoLQiFysr6LVv6IwwB1P3i2UHvJwSSO2+O54zCmGi7xnd88IHjrd2zfrJdVVWWYeSurvOP3WvZehtl5j16Qo5nHcH1DGsW2stZa6RZaxByfjOcF4oAaIIV1l+LtmviJCfN6K6vI4QQAtrOLfnChar/eDTjoRUUwxBJAY5r+M+fB/xgKTMn3qMnVDHOyc5AFA19i6s019aam5uYm6t594kTHDyNjYlQVYxA4+Hyhvj46K6qE5436nrphQEA1eWS25ssN96iCjJgHBBgn5uRGhIeHTRUT4gB0Vh2iN1VvN+4kxDev5+QKGpKUmxwuBYtgrPkmOWqWSjEnyiKoqiZWamd9mnxC+bTQX6D9YSEojmxs8IUlKHt3ktzAX6x1/fU7rNHX8vqM7k8OgTLzounACiMiZ+fNSsuRYMRuaUVaIFfMpuIEiYQHhmSlZAQlZBkX3HlQD0hxpgQFBMTGRCr8fXJ3wbcF48rsoIoGhOclztbnwdh4mo57lmSzfPcvLledYpnmIEom4UOCwBMAIBlGVugXVTUEVVSBEtYcWmonfd6QkKI2cRxrJYhEKIZJjwA8QyRFYKJPcDexTGiJNPD9IQASJV6NI/lEMXwATM5v3jPXcIHEKJKTk9ig6Ypq0XTAA9RtN1KB9mJpBAA3mQy2y2ionDD9ISEEBPPmPjv8ETowO622/VayahKPZ5OoRCyWL1aS9h7NVDbu6TyOsRQgJDa4xZO111Wg8dYGE1DuHG9n5Di/EHTmgmCFfFUPXYIgBBiKKG8Xu1wXu67jCVsgnpCn0UgACCKsYR41H2IYile27iayK0d0vkmYCigKKW1S6xrvVzXI9aGNL2v7lsCYw3vT5vrp/lkrGG9oY5o2uTVC78oAGD8/WzZec79ZZSFQzSldjqUika/qzJ9oCec8PsJA1beIJ1uVrudQFOUhXMdOG7JiDWF+uuqJ/QJiGI4WzTBChAMFMfZYzQY4WOi+YgE4WgFZeIRyyi1raTbactNHqgnZBgaIUSwwnABE8mN+xzOb4YnPAhWOD+dHuMR5xeHsQxAACHeL86rfTyP2uLZsycWzA+8/3rbsqzmHz1/1EL1vZ9wavWEk/R+wpbdf4x+a5PzryUXfvfnv69IVsMD9dQT+gysuF3NR8TOCv8Z32PModpmR3u+Onh63aqwZ+5kp4e0/PTFwlj/5ryEQV2vKKu/tzQxdY4l8iqam7ofcZ10CFGl7pqe2r9ZIxaaAlMQrcuSAKKK7otlrtajfrErOVsUeHGVR/35rsbndlQ9vgkBWOMTUo+VYJ4f8rjEsDRDM94YHYXKtWub9+wBgPD162Pe+BMeNhzlOIaimYmMElWn8/isdFdtNQGI/+9fTXvw/iGDXoSA03lKaiohREVoQqPiqnvva3z59wggYOGixM8/xRgP6XqWY2ia/sdYXzXxwzXpXi6diOEPbZTq6xS3O/T22zn/AF2qNqqecLKgrdYZr77cuns3Y7WGP3A/8sWU1FQy8VMqeusWz/LOiI0bdOqUbw9TEIHj9YImYcmFgYHBBPhHGGAYGHynMYLQwMDHGEFoYOBjjCA0MPAxRhAaGPgYIwgNDHyMEYQGBj7GCEIDAx9jBKGBgY8xgtDAwMcYQWhg4GOMIDQw8DFGEBoY+BgjCA0MfIwRhAYGPsYIQgMDH2MEoYGBjzGC0MDAxxhBaGDgY4wgNDDwMUYQGhj4GCMIDQx8jBGEBgY+xghCAwMfYwShgYGPMYLQwMDHGEFoYOBjvA3Czs7O7du3l5aW6lobAHj99derq6t1dVFRUbFt27bW1lZdvbz11lsvvviiJA191fGk895773V1delnv6SkZNOmTR999JF+LgCgvLz82WefbWtr089FW1vbjh07Nm3apOtp3NXVtWPHjl27dnm/i7dBWFhYGBIScujQIVVVNdXNK8rKyvbs2XPx4kX9XADA0aNHw8PDDx48qJ+L+vp6QRAsFsvx48f18wIAHR0d+fn5uoZ6Q0PDVVddlZ2drZ8LRVGOHDkSGxura6fYbLZVq1aFhISIoqiflwMHDiQlJbW1tdXU1Hi5i7dBWFNTs2bNGlEUBUHQWr2xSUtLu/POO/HQl8tPJhjjjIyM3Nxch8Ohn5fQ0NB169Z1dnYyjL5vQSwpKZkxY4aur9ZSFMVut0+bpu113F7hdrtbW1szMzNjY2P188LzfFpams1mS09P18+L2Wx2u909PT3I63e2ehuEkiRZLBZCiK4RQtO02WzWzz4AUBSVnp5eXl6enJysnxeO4zo7O8+ePRsVFaWfF0EQ2tvbs7Ozve9vDTQ3N7/11lt79+7VzwUh5OTJk7t27dL1HgUAFy5cMJlMFotFPxdRUVF79+5taGgICQnxchdvg5BhGFEUEUK69jcATMH7Etvb22trazMzM/Vz0djYaLfb165de/bsWf28VFZWfvTRRx9//LGug97Fixdv3769qqpKv65RVTUjI2Pjxo0lJSU6ufBQVVUVGRmpq4vS0tItW7YsWbKkvr7ey128DcLQ0NBDhw4xDGMy6fuSd4yx3nH4ySefpKen6zpQbGlp2b9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"info": { "equation": "252/18=14", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
d566546e174ae0ffc9f06ced7547abe814dcd744a93c373fc04d557bc1fbfd02
63
1,934,879,560
train
2025-09-16T02:27:50.676155
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 1934879560, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'1', 1:'6', 2:'*', 3:'1', 4:'8', 5:'=', 6:'9', 7:'2', 8:'4']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [6, 5, 1, 1])</answer>", "action": "('move', [6, 5, 1, 1])", "reward": 0, "image": 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w/eCbcfpyacMG66FDDAABSGgX7X9598uicUjsrhfr4cNxo/Wjf7dKtHRd/K+3W/76buTSHyvw0gvCnDFuamfNP2jPHh2GweUnq25asozjAr9G34tksdSufJQBQAAYYPRXR+TOTmV6wsYXX3K3kA4gdNuu3ampgtS9c1u0WtHRL3Ne+aVu+njNw29qPyuBOweRzFyJUatWEZeLAsQtW8bzgZeVAEDdE0+4amvdTZ9W296w8Z2DabHYLWEDsH7xRerMsYnP3es4XMmufg/tPwwzpvvrgopi9bJllBD3jpnGZ59tSItp4RAmFAAopQ5be3Jk2BDjULx4sW7VKvdznAVI/bR075QtDiK716JlSRI/f3f8Mz8xLpne9F9/ZnYepA8Ig24IGUF6QmCZidcWGjALOr5zW0nLmk/yvjvCxSvbnNMNJaLl9EYquQAhhJAgCJu2fn3/k+/yGoVL274QdD2hSwIAmZLROZmpCbGSKFKb6/w1D43Z8p6CTapXgYH0hDKhQFmdrujaQk6SsdnQ8sJ79k8rc44cDKSekAKhxGw2TSzMk2UZAd21//zCn7+goKfVV09YU5yiuWdWd6MQkpiRNnZ0suRwIZY5X/RA0uoXY+6/b2CbI09PKMtgc+qnZCHuA/FS0xCDECFWG5ZpbzqCEMtx7M5d++JHX8MFYauaJ0HXE9q71wkkSZYcLkCAjTrDrFzbwSMjMwgH0BN2z8RSKogSpVTusht/OKlzUwmx2gKoJ3T3rimhgigCAKFkStF4ZWMdLz0hAigwRyfcMIM4uhtFlmXJ7nSnmeZPsR44GDPY/IMP3VGMEcd5bgcLrJ4QuwRvmQmhTLiJMRkCMLBGSBcx3mE5CbJIKbE66E233YlQcBdmgq0nJF4bACggDcvGhSEmCFt/AsGV9ITEJXgvhxDKRodio5Kmv5KeEDD00RKCyaRwv2Q/jQK0n0YBQCzDxkegpsEjZUTqCVksVF8Sm9sDsHmCytbGEio5WY49ebLq+LHjf9+8TpYDrF3y4mroCT1BiFidrhO1imXQwWZgPaEniMWu0xfk1nYFXgbWE3rBaKMUuLiil/6gguQ6VuVLpIwwPSHHIoSQTuM8epaPTtGkpvjrxQtKZdFahxCDMa6pa1xy2xxwNgjB2bTdS9D1hD3VxXEsZjAwmHTZhZMXw+bdNMScBwkvPSH10BN6NT3Wa+zfHDfkT2JC/d7APZCesMcLwzAAQInEm9OUlcVLT4gBQm8o8CwIx7EMwwDGVJIdpRXhC+cPanOE6QkdziV3zjWdvVj/+DtjN28LmTlDgRdPHK3HrfW7GYbt6rJvfPeT3/zyR//4oiQ6Y87seUoXDXwg+HrCngMcjilFuVOyx1b/eG34gjtTXhy5esKL69adf/BB97CQILRnQb4zJQqJPU1PCSvLd90zn35+pHndJzklB3SKVonP3XFH8+bNCAABdOi5fXdOxm49odsvkaOjwpcsmq2PvVYblokYJWME4nQeLyx0nDyJABiACwmh3y0uZOj3PV7J6czNGj17+qTqn71gyL52zN/eHdyoj+9aPPGbf/sGoBTg0zDd/t0f+XhWXw7NmrEX4ADA1tSw4ye/ddjt3/9z2L8pzC8B+BZgS0ZUTcN5xV7cEFloOfF2c9lrnaf/+O4rSz94/d7OM2+d27v2mRVzBcE1ROMD07zzq68B9gPsY9B7j/9CsZ3qDa/tBtgPsEvHffzGsw6H3bPGyn+3ahdAKcCXPLPjgzcV+iDk9Ny5JQD7AL7LzKTOfmpGcnVKLoUvm+2lvKhoL8BegNpHHnG6nJ4FsbZZdiXE7gP4FuBv12RY7O3KXNiqq3YzeD/AAYC/3H59p/Oy6nLY7U6ngxBpiAVp/+KLfQAlAN9qNNZTJx1Oh6eLyrfe2AFQCvA1gz5Z/ztfDI4gPSEFqJ2ZNSFJx7Js2LQxxDnUTqPsaqdEQAiLktzR3j7nhmJBECMjwlKTo+qqK1PHZA/R/gBcHT1hfVac6abCEK1WW5DUqnSm4eroCQEg5Q9/aHzzTQbj+EcfZS5fjbQzuGFOXqEljdFrzddmELsTdEr0hO069tLCSXmEY6KM+knZGszymsC//Cpk9uykp55y1NaGTJliyMzySr2UEoXn5IfqDHJOvC3ep11+I0hPSAnVZSfH3jebZbkLJUeHqHWiRLI2fENlkdNo9u0/IvNJ4fG5ro6zhOKE2NAP3nl+xW/fYtmgvZ7squkJf/fPoScEAENRUXpRUb9J1CUaAqEnpE4xdHFx3NR8Igiwozx4qqiEJ5+8UhJCEPXY4n9iPSGVZGJ1EFbqd+rMT09EcloQwghBp01cdPfjppgwV1eNJEl5uZnVdaUOh8NkCuI7AlU9oR8ESk+IgLpE0uUgQZ4AHxhVT9iNvekQlRwMy1y40HDm7MWwiAjAPGZ1QCnC2KChuz/9SyA2Ev6To+oJRwD/ikFIibPtlLO1HCGGYZjyk1U3Lrpfo9ECYg2x1wIgURRn/2BquKbB0dkw3HkdZlQ94UjgXzAIKRBbw15KRISxzWavv9g2vqBbqsOZEhHDAYAoSpnpcVhqGdacDj9XVU+ocgWu+kanYGp53bjaKqksAMIIgd1mSx13naZnDhZjThOa7mgpR5glBFztZ7QROcHexTYUEMNcac9HQLhqekIAaNu2rfa3v2UwzvjoIz5R+YzxAATpdUHBxtcglGVZ8btAe6GCIFgsgLpfOMle/r5DjFF/nSO/IZKNUgkhnsgkJCxy/rU/QbinbRBGWAPQPchxv05z6B77yQMhASmLs7GRumuL0n62pGKGDnkC8OroCYnVWr1ihbO6mgLUPvxw+nvveaZqtPqAVJfQ3CwLPROSGPP9bdmVHC2sNhyCdueVCfG3UXwNwoSEGIZp9T9Ll3Fx3R9CaiqwZgLIFCNctX1bdUY59EyTEkLNRnbozyVWG4mwu/YJp4tCl89QMboIhN2TopTVxwz9ztIv4WFmtt04xAvLWX5S/vNbxt//jFKKOM763dE97GYXIe4cy4Q42mv00cah30euhp7wyScd1dXue2Hb+++Xr3+5IS2uV08oiWJEuEHpKwi7IS5X62MrI+4eTygFjKmlrfSDjZ16rldPaDTq87JH2RpKdFH5+uiJmAvK+DY6Kpzp0PkVh74GYXZWetfFDgqU0n4H84PjrKy88MzTeS/d4/6TskztyifMy+ewabHd3ycEWjQp331FEUIV3+M5UyJmNERyUCJxxlGALysjb0pGiKFUJkTkjUlB6osmxMfq7ZHueUVlKlIqSVX33ZccogkJMxObC2m1Le9vlUt2cT8q7pWupY9OMRqNhBBKFXpxw0ZHp731luLTB8VaWnpxwwbPnmLN8oc89YQMwxRMLiCEYgYR/58kbpr++w1asjd9zUJZJqyGc9bUnn/hF5pVd2AAt56QGA328CzEaOxNR3lTCh+cIExLS+yoKieUgs9N71MQEslms1QijAkhUVFhSXFKNr8KVTVMBM8VpFNBkgFSU0fxCXHJ2dn663K8vk9IJTkzIzkyVuE+d4SwOXVex/mPtRE52ohxXqkY8+bUmzurPjHETtGEKvnggS/Ymo8RShEChNA1ReOVmJBl57nKqOfuIC6JUqrXaiZPzDU55FgvPaEkA4DZbJiQkhnA/AcW3/WEkiznjx8bGqLkMyS2A9+aFlxDtRy4RELIpMnjHX8/njZzKjDYS0+IGM5pOcmbUwJSusuh9qbj7i3ZGg0/aaJPjeLbk5DKRLIhQJQCx7J6naLVeoRZs4Ex64nNRRHoDDreoHWJEtNHT0gp1Wl5/gqvsvLFE6uLDh/3U4T6fUMZ5gzx4dk/7z81QMhCZ+//FUvXsF7HxoW5F68xw5jCQgRbS7/SNYbBBn1QupEBwXc9IaXUoNcwiuZXEMex8RHAYLedkPAQG4NcgggY9e2wezZQYJGFLne3GiOkN/j0AgefOmMI86w2AigFoJjRYk2oouwR4WKb2NAKLAYGC3Ut4qX2/oczlGA+BJghXVUDx1hQIxAAOEPP104AKZauyV1W1/FqwBgQUJfgLK++0lY+hDmsCVfm5Srgu54QKMGa8O8n0vz04jxW1X1Dx9h+rIrYXFcaL3s0UIBhDTHdo3TEMFqf3ifmWxAyWk4fR4kElGBWz+njFGRONz6X4UNdp2uRhkMaznXqAsMxhtyUwH6fcITAm9N6JLZEmXQNcVzI9T+wfnUY63jAmLhE58GK0B8WeuoJWZbBGAEhgHnelBTYIgQQn/SELAMAhEicMb5nXs0/whYudOw7DYQARljH2748ap6Wyxm0gdUTDgbizSmEiAAUENL41uP1SU8IAES02Rr2ivZLIak3M1qFK7aWDz8898DPE175FZXIpYf/uCc7uiMvwN8nHCFQIrraK611u0xJs3lzGsJKutZSS+vxSRMMc8eH3fvDpp+9ctxuPTk3l/V4P4EkStdMzi2eOlmXMJvVRY/k1+YOpiekLMf+eMmNEYkFuugizOqV+KBw9q47raf3j/qfR9pf/+TC+3v2LMzHRl1g9YSD50J2OVqO2ZsPm5Pn8sYEX9ZCfA1Ct32gBIbWkau4dX7zxx8BQPSixcmb/kok7z7JEL9POKKgRFbWs+qlZeNfzty9FAPwYeHZ5ccgPNyrf8WyDMuywVv1CiAnJk9u//ZbAEh65JHop3/n3bVGoOE5ZXerXoQLF8rGZkoOOwUY+/77hlvmgXxZfSGMeJ4L9mAEACiVfffiV5nRECMQAJJefomJjEQACU88znMaCKKMYfgZYgQCQOTSn9jLy4XWlvA5c7TxCQHJ1XAxgJ4wUPCJiWl/fLNt505tXFzEYp/efh0k/Ipzv56EKioqgeefoBujovKvjRqEKirDjBqEKirDjBqEKirDjBqEKirDjBqEKirDjBqEKirDjBqEKirDjBqEKirDjBqEKirDjBqEKirDjBqEKirDjBqEKirDjBqEKirDjBqEKirDjBqEKirDjBqEKirDjBqEKirDjBqEKir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", "info": { "equation": "18*18=324", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", "info": { "equation": "18*18=324", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
4c072a76223db219d8efcc342ae9dba7dc165cdc0263f223af99bbb36fe10e6a
64
279,394,470
train
2025-09-16T02:27:50.691261
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 279394470, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'3', 1:'2', 2:'-', 3:'0', 4:'=', 5:'9', 6:'2']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [5, 5, 2, 7])</answer>", "action": "('move', [5, 5, 2, 7])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "32+0=32", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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"info": { "equation": "32+0=32", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
261e359089112e24dafd7aa2de1169e22bcb26804b2d714ecf29799562c6fa53
65
56,972,561
train
2025-09-16T02:27:50.707802
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 56972561, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'1', 1:'+', 2:'2', 3:'*', 4:'7', 5:'=', 6:'2', 7:'7']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [7, 0, 0, 0])</answer>", "action": "('move', [7, 0, 0, 0])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "7+2*7=21", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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8Ww6GAETBXrFkiXd6wtti+f77Hkd81BN6KhhVALFWSq4fxRhPnZJrDDFKXZPdyHatSDcob+AW+9QTdh93Op2EEJcD06b41F/yRBUy1NYUKdlbAWGOZQtPF3cIxuT0bHmt9IG9osLZ3u7eIvyJ6Qm7D4qiJIoSAEiiNHniKLU/V6jLoye8Lb2+Jn3R2nnmpQDSzbOcDofzRrOeUknoGLC5Xi2Cm57Q8yuEUIhR3rWrgBi1JiLbXLMPIYwZXHelcc7CFRqtf5dT3eQAy8q+WjXA9K0n9IRSajToelP8yYcsesLb0uuCRl9WOd5SwXgrEOb0PQdRZLDYx4wWQozGp7WjnkhCq/XqMYQYhmHOX6g8XVS246PXmpuuyGulD6jT+ZPXE3p+yaijAPlxXYo8esLbEv6zn2GW7WHJFz2hp06P1aiM94xzX+vEsgzHusYwKCCk9m1+qTc9IerWE7p/uiwCVZtkHmNwWmqJwwIIsSwuv1g1f96M9KGmmktl8lrpA/348ZqEm7R2PzU9oduHuT4zyZuSkT+DUCY9YT+oXbeudsOGGz/H5rOesGLx4saPP+5WMBZnxhblxi9fNHdQTATDMF/tOXzm7EWWYxfcO21YSrJuyGxWE+nj+6xy1aqrb7/dPaNVmhxxcf6o63rCLkSnOHfOpIyMFO2Q2aw2GskxpO6CEkfbxb9L9mbMsG1t5nff//tTqx6pq7vyzbHq5zb8N8YBWv/Q9uWXZfPnw49cT1jxi1+4am8M0BCmObko57qesAvRKWZlps6aNk4VnacKGYYY/75lfNETehGElNJjGakuPaFg0DS/unbhSp9mt8SWlrOjRtmqqymAKScn9dDB/bu3R3HlCQlxGONv9p8cP3dtRFQMx3MMZmRpToid1mPJQ9krjQjAYtJ2bll/90OrwOMCcBzLMFiWGS13OhtOWK8cQwyvUvF/3f5VRIRp9oxcSuD9Dz4dN2vVpFkPyGuuD4oe/bn5up6wZPm9v3z7H750mIjNVpyXZy4sRAAIYMShQ/7WEwLAqbn59l17MQDi2fNPPfzzDdt6mZlkMMexst/HW1Hx2qYbesL8rAf/ccQ4AClT34hUZj0hGxY2bNu2xo8/RgCDfv1rjldx7E0zEGqNRq2Rc2jEzuDyOSMnddglCpopqXUGvVqtkfH8fUApETsbATMIIWunzWzumD9vsihKGOMZ03ILSk8FMgiLf/x6wnO5SaNVuQzGqpHxl+MT1Krgr3qXR0/YN1SUZNcTGmfONM6ceUuLso8WCE5dTmrMvFxCoLGmltbJL4m8Ffam00LHJYQ5lmX+53/3hsePN0Zl2FvLCbBRURGV//jk2Hc7Jky7LzDO/AT0hHx0aMyrjzOsShIEuu+Cj2eThZ+OntC/IKBOiVhshAB1SoEsgtN6xTVqLUmiE3RLVqxTcSB01FLJrtGoF9w79ULF2YAF4U9BT0gIsdgRS6h0Bz2Kip7wzsXRcVnoqESYZVn20OGTnU6VWqUGrGJ4PVBCCImMjrp47tuKC2eC7anXKHpC31GC0O8I7Rct9V0/1UEkqaT82qMrXwQABEg3ZBpi1YQQjVq14vEFtee+IKKtz5PdcSh6Qt9RgtDvWOsPEaEdIcyyTHHJBVNkQvSgeNdXnDaa4Y2UEkoBMWxmWihxWILrrbcoekLf+f+lrEcM48ffQu8NobWMODsBswCAEWpps+bNummFgyYi21m9FxAApSKhtqZCQ/zdgfTQR4KlJwzmrxDJjXdB6FoR6z8kiVDGj+unnE1NTqsVXAtiKL2VboA4rUSys2oZfrBZcpgpERHDA4Ag2Kbfs8gYd9McGuZ0QG+sFghMf0ne+xgEPaEgCE1NgK8vY2R6PyclTkloYzURHjtT+AVJkgY2nu+Nsh7jpITBlHpuKCIbg2IiuE6tn7SYVBRrVq0aNCuCIgwgIY63/HDyMG+0kRsCAkJJdma6WrwsWBr0QyarQ9N9XGnBaqMwq6ZUAkAIsyqP5a+Y0zGqEOK0ulYjBKa/lJgwmGHk20ck8HrCV34XduU8o84Bh4gYRqqpO/mPj1o55K4nHJYUOzicWBoKddE56vCRjMrkb6+GDI7SSk0DCBAvgpBlmVFZ6YK1ybV2xR8arbTUpPaqckIowwAhRN5ovPrHP1q/2jXq+dckScIASK269tF22L+XWzrLXU9oNlUzoSaEGUvdft6QwPgWhLwhHrMaSegAjABxqpCe65gYVSiriRCEdsTwlEoqU5ov5vrJ6OwMc+NZ1/SELJrJAOsJq1/dNPY/VyKEKADiOUvRmcvvfsa8/Ii7ntDMxNpRLGZ11oYTjCYyAEGYkZ7cXlPTtesuIf1/eL0IQqHtgmBtcv1qgFajnjRB5hceJU5zw2kKGABEUcwZNzI01Cjj+Tv2HzA+kAsRBhAlQiEkRD9hfLa+0dybntB1/Vhb02n9kGk+2jUm3Weu/ppIQkjiXEC9XHDd4CkI80LHpdBhDzCqXn4UXF4ke4ulpRxhBgAIJdOmjA3gD3PKgPVUIZ8Yyo1Lc2luEEJTpo8XT9YN9dATSpIEQDGjsjedVYWkIH+uziWSYGkscjVnREmaMD7LaOjvYi8vglByWLu7NxhjvUH2BV9UcnS4qnJKqUGvYW7R1h8YiOXZIWFIxVOnDQA4jg0JD7Fdbb+VnhCAytJDY1ShpuSHAOBWy18Z3miIn62nRMbF4n1AJQcROzHu6g/Lrpn0N4hhWYOGCdWTjk5Xuy80MvTKrfWEAEhydIDnEmF5oZLkMN94eg0ahunv0JEXQ0ysNhKzaldhEGYYddQAXO0LhDndoK5NjinBqgiE5Ry8paLDfrqSmDsBIUBIMts6iy57boro5g+SrYeG8O0WoKPARCAAYE7HqsK6R4Nk10z6G0pER0O7s7oRWAwAQMF68kJfSlSgnG6QX/WEAIAwy+liuq4qJYw6qv9DUF54xutjMasFQgAIIEYVknz7PN6AEKsKGUqIE1waMEMCwnLuoh75+C86D5cQsw1YjFhMOmz2w8VhD04KpJ7wTgDzBk4bQ4kIAFQSf3SzdqZ75oAZhJJKrOYBAeJZ8/8cDa6eEAAQ5nlj4o2n15jU/yrECykTAEhCq7nmG+LsDEmcx6jDZH+7UMlubyu31H6nH5ynCk3HrMwtpcrVq5t2fT7krTVAaeNT/3VOgy/MGcmIAdIT3jkQp9naeEpoLjYmzuX0sb78fFZQaPrgg0trfxP97MO66ZkNv9pcXdVw/IEsVsUHUU8IAES0CW1llrpDrl8GxGx/hR3eBSEAACUA1K8aLUpEeRui3ZDOzrNZ2daL5RTAkJKa/sMJwvMB0xPeaVAi+XWswq9c/PkjDZ9sxwAMyw0/eYLNSA+6ntDFAJ5e7591P1frAOCnCAQArNUO+8sHV9/dCgAxK57gjX4firyT+fFGIAAkbH4T63WUUuOkSfrs7GC7c4MBPL3e14QKCgqy8tNZgKeg8CNFCUIFhSCjBKGCQpBRglBBIcgoQaigEGSUIFRQCDJKECooBBklCBUUgowShAoKQUYJQgWFIKMEoYJCkFGCUEEhyChBqKAQZJQgVFAIMkoQKigEGSUIFRSCjBKECgpBRglCBYUgowShgkKQUYJQQSHIKEGooBBklCBUUAgyShAqKAQZJQgVFIKMEoQKCkFGCUIFhSCjBKGCQpDxLgjLy8tfeuml8+fP+8mbXtm+ffuBAwcCZs5ut2/evPnzzz8PmMWWlpYNGzZ8/PHHAd4X5LPPPquqqgqMrcuXL7/wwgtvvPFGW1tbYCxSSt955533338/MOYA4NSpUy+//PLatWtPnz7tVUYvgpAQsnfv3rS0tG+++UaSJO8cHCilpaWffvppWVlZYMwBwJkzZwwGQ0lJSWNjY2AsHj58ODMz89KlSwELCQCwWCyvv/56a2trYMxVV1enpqbee++9Wm2Aduf+4YcfOI6zWCzFxcWBsZiUlLRw4UKtVutw9Lr7+i3xIggdDkdzc/PixYtbW1sFQfDSwwGSkpLy9NNPs6y/NkvzxGQy3X///Wq12ttLOWBmzJgxduzYtra2QBbzwIEDGRkZGAeoP9LZ2WkymUJCQnhezt2X+6CwsDAuLm706NFGozEwFsPCwkaOHKnVarO93KrNu5qQEOL6T8BqQpZl9Xp9INtpqampoigSQsLDwwNjUa/XFxYWOhyOyMjIwFjs6OhoamqaOHEiQigwFltbW7/++ustW7a0tLQExmJzc/OePXt2796tVvd3x1zfOXv2bFRUlLcvGi+CECHkenFijAP2BgWAwO+guGPHjtzcXI1GExhzBQUFc+fOTUtLq6mpCYzFU6dO7dmz58svvzx8+HBgLGZnZ69fvz4lJaW0tDQwFnmeX7NmzejRowsLCwNjEQBKSkrS09O9zeVFLPE8r9frT5w4odVqVSq/7wDeDaU0YBUvAJw/f76urm7MmDEBC/7vv/++tLTUarUyTIC2zh01atS6detGjhyZlJQUGIsXL16sqqpyOp0B6xMmJSW1trZaLBa9Xh8Yi4Ig1NTUpKWleZvRiyBkGGby5MlvvfXWxIkTA9l70Wq1AWunAUBRUVFhYeH69es7OzsDY3Hq1KmbNm2KiIhITEwMjEWTyTR8+PCxY8cGzGJmZuaWLVusVqu3/aUBM2PGjL/85S91dXU5OTmBsdje3h4dHR0S4vUe7Mp22QoKQUaZrFdQCDJKECooBJn/A8W9WaIQYoukAAAAAElFTkSuQmCC", "info": { "equation": "7+2*7=21", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
c6a26928715429f5009e6c1a18c1f1f9285a31e312145fa329102cf479109237
66
4,075,432,323
train
2025-09-16T02:27:50.722993
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 4075432323, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'7', 1:'2', 2:'*', 3:'5', 4:'=', 5:'7', 6:'2']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [0, 0, 3, 4])</answer>", "action": "('move', [0, 0, 3, 4])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "12*6=72", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "12*6=72", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
6f7afe90d562a9cc85c5b5154a1f0d144419dd8fbd0d24a2977b6556d36dbbf8
67
4,046,725,720
train
2025-09-16T02:27:50.740632
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 4046725720, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'1', 1:'6', 2:'/', 3:'7', 4:'9', 5:'=', 6:'3', 7:'0', 8:'4']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [3, 0, 2, 8])</answer>", "action": "('move', [3, 0, 2, 8])", "reward": 0, "image": 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GcQMY4e0PyWqtXvk0A4AAMMDob4vl9nZ1esL6N9e5I2QECN723f7EREHqWLkt2mzo6O60//q1cWaGfsX7hq/z4J5+JDPXYuSqVYTnKUD0smU6nRpZSb/UPP+8s7LS/Zxq+fzzk398qy4pGrslbAC2b75JnD0u7rWHnEXl7OrP0KEimDXTWxeE55ufWRn2YAahFDAWGxr48xXc6KSOUoej+oknMIB7YHxM/hmxoUGdnrBm1Sr3gbAAiTsLDuZ+6iQyogAAsiSJuz7JeOX+gKUzG//zv5m9R+hjQr9ruIeRnhBYZtIN2WbMglHXvi3v0pqvMo8VczExXnnpFaHtx/bqXQhhQRA2bdn36POf6PSDvzq8k6rHHqt9553OhtHg6wl5CQBkSkanjU+MjZJEkdr589c/OfbTz1QsUh0C+tITyoQCZY3GnBuyOUnGgeZLb3zm2FmeVnzEWynTxfVv16z6XdKBdQQjVs99ue6j7Nqg1O3b3Z3MuldfrXr22c5H+SDqCaumJeh/MacjKITEJSeNGx0vOXnEMudzHhu1+s0Rjz7St83hpyeUZbC7TLkpiPtCbGgceBJSItouHgJCOQO757v86MQpnCoNi3LsRUVdT9fg6wkdHfMEkiRLTh4Q4ACjeU66/Ujx8EzCPvSEHSOxlAqiRCmVLzsCbp7cvimP2Oxe6wkP/2BZeD01cMCLhJDcG7IdL2y7Wto9BIOlJ0QAWYGRsT+bRZwdQZFlWXK43GWWBbm2w0dG9Df+MCz1hIQyoRbGYh6UgTIquYjkAIQIkV0iXvDgbxDy7cCsOlGZEjtX9ITdFwBQQHqWjQ5BzEAH/XxEH3pCz+kQQtnIYBygJvSI49iYMGAwAFBKg0IDXYarTWsfBgVoL0EBQCzDxoShxv4zZVjqCVksVDaITa0DWjzR4UO21edRiWc59uTJsvpLotHg89Wq6kRlPelLT9gVhIjNxZ+q9pEMeuD0rSfsCmIxf/aC3NyqzovreEXHKcLYcbyC2BydpYMVlL6lpB7f88crlGTKMNMTcixCCBn1rqPndJEJ+sQEb714QKks2moQYjBGNfUtix/4na/bogAQumgR7fGNt0Z60xPiDj3hldPFcSxmMDCYXHYIpy+GzL91gDX3EX3oCT1Cj016x/cnzBMmM8FeL+AOWbTImX8WCAGMsFFn/6Yw+KZbO5+oPdWDg6InxADBP8vqeiAcxzIMAxhTSXYWlIUuWtCvzWGmJ3S6lt4zz3LuYu2zfxm3eVvQ7FkqvHTF2XzCVrufYdj29ssbP9/31JotPh2ScUMF4fS0aZePHEED1hOWpKWJ9fUIgAEoHxt5dn4mI11NTMnpzM1Jz00dV3nf2tCF9yS8+VPUE7p/aY+wsnzvLxbQXcVN679KyztsVDFLTOHHe++1lxXEfPjvzev/5jhwLqO4pLNjSQkpmz+/5euv0YD1hCeys52nT7uDciE2+NiSbIZC56SO5HKlp4yeO3Ny5f99w5x6w9i/fqKg5soYCj2h0/F99oQ8gB8APk2OqKo7r9qLGyILl0592FTyTtvZP32y7r5/bPvLAA0qp2nvt/sGQ0/Y9PHHBwHyAIoiIpy1tV31hE6H4+RLq74DKADYrWP2fPG+Sh9+1xM6HLYW63exUR16wuuTrQ6VekJbxfl9V8SiG++6Uehe2naiZN9g6Albv/kmHyAP4Ae93nbmdDcpqcNR/sF7ewAKAPYx6Ks/vqTE4DDSE1KA6tkpE0cZWZYNmTGWuAa6VljmWykREMKiKLbbpdvnqJzOVkF9uGlQ9ITh993nOHFCaG4OvflmQ4+B4tqUaMut2UEGgyFrVLNFZV93WOgJGVx3S2a2NYkxGQJvSCYOFxjV6AnbTFzjnVMyCcuEW2pzrqOCAF16H82B+kHREwbNnTvqxRed1dVBubnm8SkepQ0JEfiWCcFGs5wWY49RtMpvGOkJKaHG1PioR+ayLHch7+gAtU6USLa676kscnp9/qFikQnXe9/2UM8g6QkBYNTatdcqYgy6yJf+SfSEZl/oCT1LpUHREwJA7PPPX6sIIYh4ZslPWE9IJZnYnISVeh0689ITkVxW92LRdru4+IGVLDukvwg4WHrCvtD0hD3tDImesG80PWEHjsZCKjkZlrlwoa703MXQMB9cOv8EaHrCYcAwnd4dEJS4WktdzScRYhiGOXm64qbFj+p9Pz34U8StJ/TMQ01POLT8Ez4JKRB73UFKRISx3e6ovdiSkTXN35UapgwjPeG/MEP+JPS9lpdvKaeyAAgjBA67PfG66fqh/U23QYQIQtn8+XxjY8Rdd3W8dWRQGSZ6wsHCRz8X5GuUJqEsy+rHkq5ABUGwWgFFdfjunhsYo95+bMFriGSnVEJIR2QSFBK+4Ib7ER7q2BBCBuVY6l9/vXn3bgxQU1oaumCBYfz4rqUIM3TAK/uGg55QbzANyunqqicEjHXdV0dxOgMZ+IBff8iEeBsUpUkYGzuCYZq9r1I3Lq7/Q1BVGdZPBJlihCt2bKtMPglXhkkJoYEB7MBXV7OGcITdZ59wxgikbIRqcAkNCWRbAwZ4YbnKymp//3u3LpG4XOcffaTp33/dqSeUCXG2VpkiAwAGevn6XU8oiWJYqHkAUwYAPfSE1NpS8MVH7SYOEwoAlFKnvTU+PMTXeRgZEcq0Gb3KQ6UXaGrKmMsX2yhQSnv9caD+cZWXX3jl5cx1v3B/pCxTvfK5wOW3sElRHe8nBJozeYL7iiKEqr7Hc5Y4zOiJ5KRE4gJGAvZDEsbGRJkc4e54q4s6laTKZcvk9nb3PQkDtOzZW2douKonJGTM6ISAgABCCKUqvbhhIyOTPvhA9e79YisouLhhQ7fXOS5/squekGGYrClZhFDMIOL9k8RN4/9/j+YdHLNmkSwTVs+5qqrPv/GwftXdGAAoEEoCAy2j4jJl91tWfZaKSUlxbRUnCaWg2IuiC5RIdru1HGFMCImICBkVnaSickJFFROm47LGUEGSARITR+pio+NTU03T0zzeT0gleXxyfHhUhAovAIAQDkyc33b+S0NYmiHsOnVGBoi96TihFCFACF2fk6HGhEI9oSQDQGCgeWLC+GsY8j/K9YSSLE/IGBccpOY1JB56wslTMpx/P5E0eyow2H1np4QKoggAhJLcnAzfjE5QR+MJ95JsvV43eZKioCh7SlCZSHYEiFLgWNZkVDVbjzAbaGYCTcTOUwRGs1FnNvCixPTQE1JKjQad7ho/ZaXEE2uMDL3ulwj5rZsuC+2d/1vULihTqicEYBhsNvmkGTkoKNcTUkrNJj2janylh54wyM4gXhABo54NdtVB6RdZuOxuVmOETGZFi7QU3Q0Q1rGGMKAUgGLGgPXBqqpHhIstYl0zsBgYLNRcEhtae+/OUIJ1QcAM6KryYwYCAGeO6qwIY1D5SFeqJwRAmMP6UHVehgDlekKgBOtD1Q2k9aIntPPX6i+rDkq/sOYRHb10xDAGRb8npiwJGQNniqZEAkowa+JM0SoqZ8xIZ3TB/NlqpOeQnuPPXGA4xpyeMJTvJxwydIFJVyS2RBeopvWuRE/IsgzGCAgBrNNZRg1KzX2BIj0hywAAIRIXEHNlXM07PPWEu48GzkjnzAaWuerC/YylRFIXFAUgXWACISIABYT0gQmK9lHYCSai3V53UHQ0BCXexhhUzthat2798bFfxf7Xb6hEGlb86UBqZFvmkL6fcMigRORby20131lGzdUFJiFVg0P96wlF6fop6dOmTjHGzmWNkT792dwB0p+ekLIce9/Sm8LisoyROZg1qfFB4dy999jOHhr5P0+1vvvVhc8PHFg0AQcYO5eDEyJHRoQuXTzXFHWDIWQ8Ynwi76Yy77x03NFUFBg/TxcQCwpG+5Umods+UAIDa+aV3bGg6cvtABC5eEn8po1E8myT6HQsZtiBz0kOByiRBzhFeWnjxtL770cAhoiI644dg9AQj/YVyzIsyyqJtN85NWVK6w8/AMCop56KfPklzxX8CPQ6Tt3dqhPhwoWSceMlp4MCjPv8c/Pt80Hudr4QRjodNwRdFUpl5V68OmY0wAwEgFFvrWPCwxFA7HPP6jg9DKmwYagZ+CKBvvWEPy360BMOFrq4uKQ/vd+yd68hOjpsiaJfv/YRXuW5V09CDQ2Nwecn0IzR0PjnRktCDQ0/oyWhhoaf0ZJQQ8PPaEmooeFntCTU0PAzWhJqaPgZLQk1NPyMloQaGn5GS0INDT+jJaGGhp/RklBDw89oSaih4We0JNTQ8DNaEmpo+BktCTU0/IyWhBoafkZLQg0NP6MloYaGn9GSUEPDz2hJqKHhZ7Qk1NDwM1oSamj4GS0JNTT8jJaEGhp+RktCDQ0/oyWhhoafUZqEra2ta9asKSkp8WltAODPf/5zZWWlT12UlZWtXr26qanJp142bdr09ttvC4LnW3UHnS1btrS1tfnOfmFh4cqVK3fs2OE7FwBw5syZV199tbm52Xcumpub165du3LlSp9exm1tbWvXrt28ebPyXZQmYX5+fkRExOHDh2VZ7n9rtRw/fnzr1q2XLl3ynQsAKCoqioqKOnjwoO9c1NTUuFwuk8l04sQJ33kBgJaWlg0bNvg01Wtra2fPnp2VleU7F5IkHTlyJD4+3qdBCQgImD9/fkREBN/jFciDyIEDB5KTk5ubm6uqqhTuojQJq6qqFi1axPO8y+VSW73+SU1NfeCBB0ivL1IeJAgh6enpOTk5NpvNd14iIyOXLFnS2trKsgN64V6/FBYWJiYm+vTVWpIkWSyW0FAfvo7b6XQ2NTVlZmbGx8f7zoter09NTQ0ICEhLS/OdF6PR6HQ6L1++jBS/s1VpEgqCYDKZKKU+zRCGYYxGo+/sAwDGOC0t7cyZM+PGjfOdF51O19raeu7cudjYWN95cblcVqs1KytLebxV0NDQsGnTpm3btvnOBaX01KlTmzdv9ukzCgDq6+sNBoPJpOpNwMqIjY3dtm1bbW1tRESEwl2UJiHLsjzPI4R8Gm8AGIL3JVqt1urq6szMTN+5qKurs1gsixcvPnfunO+8lJeX79ixY+fOnT5t9M6YMWPNmjUVFRW+C40sy+np6cuXLy8sLPSRCzcVFRUxPn7XaklJyYsvvjhz5syamhqFuyhNwsjIyMOHD7MsazAY1FZPEYQQX+fhrl270tLSfNpQbGxs3L9/f0tLi0+9JCUlPf3002lpadHR0b7zUlpaWlNTYzQafXf/1el0YWFhdXV1AQEBPnLhprS01KctIAAwGo2NjY1WqxVjpcmldLtp06Z98cUXKSkpvu7kBAcHm81m39knhJSUlHz00Ud5eXm+85KWllZcXFxWVjZhwgTfeTGbzSkpKZMnT1be8lFBXFzc6tWrp0yZ4jsXZrM5PDx8w4YNN954o++8SJKk1+t92kEAgOnTp2/ZssXpdCYlJSncRXtdtoaGn9Em6zU0/IyWhBoafuZ/Ae7OZ0T9EXUuAAAAAElFTkSuQmCC", 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", 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", "info": { "equation": "16*19=304", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "16*19=304", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
602ac8b3c77a9f066a8b1c0507aff5224e1b2660c83e2b989a187bdfbac37526
68
4,147,358,011
train
2025-09-16T02:27:50.758577
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 4147358011, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'4', 1:'2', 2:'+', 3:'3', 4:'8', 5:'=', 6:'7', 7:'0']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [4, 1, 7, 6])</answer>", "action": "('move', [4, 1, 7, 6])", "reward": 0, "image": 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pU9OUHCooWDZsaP/wQ/nixgCZlU1i1U+cEj/hK6+bq/cxC3LBJQFNCydb+aZmzYjzg7o927adfuNNWVECyDjURsoqQImfEAE4AVoW5ujnTAS+b9QeabiCwglaQJgQwKQh++GEZ55NWrUqsFwN4CcEAABCyOTJ+TqthgBx2O07q7rveOiFwOQA4OdXX238j/9wH9EiAD+MCrvu3adGD4+jEPXDjr3t7e2zZ00yhYcTggjmIzPupTXmgBUH8BPKWyiUOzkvMkwv8S460nB82hPGnOlpG/52WfyEsiJCWZOyY8JNkkOgo01NJc9oosZkfLflavETDgh/4sSh6dNdbW3na3PFfsKDM4oS/3iHbl4hcfCUhl37n28Xd8VlbN6EGAYAhLa2w9Om8Y2N/YpB8BMSABZgWkxiTMksbOf7twouF5YdRhxjvqe49/vtAWTpYorufsL+7YLgwoQAAMexRdPzA5YDgN6yMvePBIABSLIBcTuPGdMLIqMiz01UYBwdPxmGzwpY8dJ+wv6NLpco8S4AwDY+cukNlte2BKx4aT/hBYpOARDgXnvEQze0/+faq8hPOCDCqVN8W5t7q1ehn9BRU8tEcZpZOcQpAAAh5Jprp9meWguSBAwDANLZs87GRg9vanD8hALBsrvP+yvE0ExiDG44E0CWLqHY7yf0oYiQyaQPWO5iitKF46qC4HJ7CiUKR7Qu7Sf0uQuXHHP5/IQ+diDAJccE06V5BeDzgU2Rn5CmaYOWjjLiHoc8TB8RE+F0LzTKx/B8cPyEF50Wg4A4BWdlPRF9X0n+MICf0IcoResCf/PKRRUvMaKFkMIRrUErAtgr6sjl9BN6gpC9og47HFeRn3BAiOTLM6nETyhJro5eoeEUMBQAAAL73jrs9n4N4qv/UKmfkACweo25JJ/G4D7Uw7IMohDQFBFE65bK6PvvDSxXMJCf0P0PIQRAACGtsvGl6MWLPaoUmmHC504m4vmJHQxNs/2KQLRmRX0MA/gJ3UqVoihAgDimZ/3OqDsvm5/QXZGmAADpuJ71OyJvXnQV+QkHRDtmjDE3N4h+QuOM6RQyOPcfpfQaAEBarmf9jqhbb5UfCAFAk5hoKiwMgp/w6Pz5Z7/5pt/dVzVhROusDEpwuc1TJZLNfvMtJfGspnnJW8ZJM9PWfq7MT3hnx9rP4JzigbHDmn6Rfc5P2IcoivNvnDU6dUzY8OsYXQwgRVN8Tixd+vO77/a7++oyhu2dnnLPzdePHJFAUdT32yt2VxzmOHZOyfTMzFT98OsYfRxS1qV+ST9hH6LNXlxckJM5puWhN4CYxu/cFXCfMwzgJzyvOG1a7uRJ2c2/XoM7payKfbRBkcMgxH7CAbHt319TWIgFAYLlJ/z7hoZHH4h6+AbTgqmtS97EPVT27gp3E6bz6NHDkyaJvb2gxE8otLbui4qS3X21xcWC4LzA3We32+22H1JHyW/p/EHLrv9vpX5CvqN9e7hRfkPm5qiwLX//wENR/hNFgWBJoZaMZLNVZ2bK7r7qsWNdDseP3321Z8PvLDXvdte+t+HdJcfqDjnsNtElECwGRXEAP6Hd7rDby24o2QFQDlCO4K+PX3Y/ocNur1h8y3YAueQ/XjL3avQTDkjw/YSLFpTKPxPAx0vneyc49ueXf1ToJ2QTEkZ99FHn118jgOFPPcWyGvbCyTciJg3XjZ2WNQwTME5Ps0Qq9RPaOLrhxpxpToIB6KL0Lq1Gqw38DuAPlF4/6qOPTn3wAQAMe/BBRqtlmQvmNGm0Oq1OUfePB/74CeunjMpjJtMUrckKkZ+wfsKIDGuBlma06QkNV6efcECC7yecnDJWKNDQjDZz+PGUZG8rU/2YaMV+QoCIm26KuOmmiyXFoqgbPzL+dzcHy09IeJexKCt+zlQskZb6E8R28V6Z4GGYMmXMJV5gMVR+wj/dG1I/YfhV7ycckMvjJ7yn30/onSAYfkI/CLKfEAERxD4Hoxi0d5xdfah+wsuB6idU+RdB9RMqR/UTqihC9RMqRw1CFUVcyX7Cq4WhbI4imlbUK3eVMKCfMLggCoWyVK9cP2HQ8W8OWgAMLgjFoHafCGfOiA4HyNNTCLnYDEZJ6AXsorVBfRVh/8ExpoJqWfRgYD8hACbB7JUVe3qF7m5ACAgAIYj14fLuXxIvKFyZfkJJkoKYRw8/IficnkrRgdlfBxGEFEWljEggxHuAJBCww9G69OH429PkgkIc1/Vj6Q5M8W7T+QmQ/NxM2nFUdFoMw4s05jREDe7FAQMSFxMpQRjGhPJRqkFgQD+hhLFBgxk2aDailmXL4uIswLDgEhHL8rWHyr/53IqwuyJHOzhNMCu1K81PCACJw4dpueZghaGHnxCfOr1/w2edHOqvwSWMrZ2NqRnGAAJkEEHIMHReTgZv65CnjkmBToeVaXvxRdeP27P/tFCUJBohpNGcfu8DqXwre/sMdz9hb2SL0RQOgHpPfs+ZRgQ9CEeNSu5GkRhjoCmMcTDrToD2999v/+IL9zG07p07m1eccPcTShhPyM+iGAZLGADkfvyA6Vy37sxfPp644fdyRhDHWbZua/nbN8xv5/f7CSWMc3LGchwnSRgpVpThkpMvPRYaesaPS+tt65BDQuG1atu3r/H5P+T/8Q6GYYhLQgxjr6s/9uZd9Kq7aIqSDecSxqNHJZvNZnmVW4yx/5fSIIKQ76rjbR2AKEKIXqedPlVRhdfz/XbzL68hBi24JIxIdLS5YEJ2BMd5+wnPBQZytFeHxU9TIuoJwdZTlYQgQOASpfy8zJiYYN4f/PcTyhEICM2aqehtKNadZfqpqfSYeCJKQIhGw80oKmA2VY7w9hNKGAAwwbNmTgzWQNqVAxZtto7DctNXEqUZhXlaBTPUvf2EM6+Z7NxyZHRRIdJw/Y8SkijJEShK0tTJOSajv1OvBhGEkmAjWEQ0BwAURRmMiqaYIZZjEiMRxxCXRAhwHGeMMPI9jov5CYEQie9RougTSeiRGw+EEIPecxabQgLwE4Yr80wihmWiTFSYTuq1AwCiKHN0hKVP0fewgULFKxQiSUIvQhQAEEJMxjBfjj9/8eknPEkheX1C7+d5QojRqKNpfztyBtHhw+hjKEYr+6QQRdPaWP/39YaIgrPyGLYLgAAoJFqsziMnL+W/QhRrSFCi6POgbFhC39LRBFPaqOA2dwPwE9K6YUoUieTij58W27vkrjwiiPb99ZeejaRQ8coEURyjj4W+dWYJrY1V4r/x9hPa9tYRp+ui3WkE09pY/7ugBnFmnCGRYvSAMQAGRGvCFa0pHXP/PdYtVURwAU0hlpE6uoXKYxELCi+fn9AHCGnMYzB2AQDGAmdIophgziD300/IMDRFIQBCiKQxK1odMer2W4Ujp1ytHRTHAEUBJrZNFZG3TPeQO68oif8vR+0QreUMyRgLAICxizOPQQqC0NtP2Pu3MvOcSX3rE7qVqnz3w9jFmVIQ5W+ranBd1RJv6W3Zil328JE30NpIRe4+Qo7dfXd3+dbE934jWXrbf/t+VTjntj5hH8H1E/o4C4nne473Nm/Vx03SRWVRrFJriAd++Qld4rXFk3OyM/TDZzP6BP9/PJ+0vfTSyf95LWHVvezIuDMPvnHM6ayal8MC8lCcMS2/YOI4XUIxa0gMenfXlQAW7c7Ow7ZTu41JszXhoxW+Nc/y9w31D98X/ehN4Qumnvr1f7XVNJUuyGX08vqEfQ1dURQz01PmXD+Vi5miMadRjL+LTA5+vIhgABKU0R7x7NmD47McP7cBgClvQnp5qUR8vNyQ5RiaooMefu4QLCq89C96ZEk6PGVK9759ABA2YkTmvr3EaACvRjfD0gwdtDG0mhlFltIdCEBjjhh3oBpiY7xH7eSaO2SjdkNFEH/ZE0seanv/PQoAIWps6Q5u4gTweo0GRVMcywy2VIM5aBsAPdu2nflsLQKIX/aYPjt7CM/k8mGvru73E5qKi0Og6Kyra139JwIkev5889y5IVD8V0Dq6mp68kmCsSE/P+6RR4J45CEOQhUVFXUCt4rKEKMGoYrKEKMGoYrKEKMGoYrKEKMGoYrKEKMGoYrKEKMGoYrKEKMGoYrKEKMGoYrKEKMGoYrKEKMGoYrKEKMGoYrKEKMGoYrKEKMGoYrKEKMGoYrKEKMGoYrKEKMGoYrKEKMGoYrKEKMGoYrKEKMGoYrKEKMGoYrKEKMGoYrKEKMGoYrKEKMGoYrKEKMGoYrKEKMGoYrKEKMGoYrKEDO4IKyvr1+xYsWRI0cu09n45PPPP9++fXvI5JxO51tvvbV+/fqQKZ49e3bVqlVr164N8bogX331VVNTU2i0Tpw48dxzz73++utdXV2hUSSEvPfeex9//HFo5ABg//79zz///NNPP/3TTz8NasdBBCHG+LvvvktPT9+6daskXWrx1yBSW1v75ZdfHj16NDRyAHDgwAGj0VhTU3PmzJnQKJaWlmZnZx8/fjxkIQEAVqv11VdftVgsoZFrbm5OS0u78cYb9foQrc69b98+lmWtVuvhw4dDo5iSkrJw4UK9Xi8IvtdCvxiDCEJBEDo7OxcvXmyxWHieH+QZBkhqauqyZcuYoC4lf2nMZvO8efO0Wu1gizJgiouLJ06c2NXVFcpsbt++PTMzk6JC9Dxit9vNZnN4eDjHcaFRrKqqSkpKys/PN5lMoVGMjIzMysrS6/W5ubmD2nFwd0KMsfxPyO6EDMMYDIZQttPS0tJEUcQYR0VFhUbRYDBUVVUJghATExMaxZ6eno6OjsLCQoRQaBQtFss///nPNWvWnD17NjSKnZ2d33777ZYtW7Raf1fMVc7BgwdjY2MHW9EMIggRQnLFSVFUyGpQAAj9CoobN26cMmWKThfM9esvQWVl5Zw5c9LT01taWkKjuH///m+//XbTpk2lpaWhUczNzV25cmVqamptbW1oFDmOe+SRR/Lz86uqqkKjCAA1NTUZGRmD3WsQscRxnMFgqKio0Ov1Go2iFcAHBSEkZDdeADhy5Ehra+uECRNCFvx79uypra212Ww0HaLFq/Py8pYvX56VlZWSkhIaxWPHjjU1NblcrpA9E6akpFgsFqvVajAYQqPI83xLS0t6evpgdxxEENI0PWPGjLfffruwsDCUTy96vT5k7TQAqK6urqqqWrlypd1uD41iUVHR6tWro6OjR44cGRpFs9k8duzYiRMnhkwxOzt7zZo1NpttsM9LAVNcXPzJJ5+0trYWFBSERrG7uzsuLi48PHywO6rLZauoDDHqYL2KyhCjBqGKyhDzf1QcJBgSzZzFAAAAAElFTkSuQmCC", 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rj7zt9TVfrO9kgBqoa5zd3aRy89g/3GV84Gfmt/8r//99T7ZXwTWz/Dm4bz8hAnAAtC4q0M6dAHz/qD1ScSWl49WAMCGASVP+Q8nPPJu2enVwubqMnxAAAAghkyYVa9QqAsRus+2o7bnjwReCkwOA06+8cvK3v3Uf0SIA34/QXff2UyNTEilEfb99d0dHx+xZE41RUYQggvmY0ffSKlPQipfxE7q2UKhwUlGMTivxTjpGf3zqE4aCadmb/n7l/IQYobyJ+fFRRsku0HHG5jnPqGJHjf5mq08Hxk8R/sSJg9OmOdvbL9TmV9RP6Jr3SciIsdkj0pNFi52Jizr923X2nc151T8G7yckACzA1PjU+DmzsI0f3Co4ndjlMOIY0z1lff8qDyJLQym6+wkHtwuCExMCABzHzpxWHLQcAPRVVrr/SwAYgDQrELfzmD6tJCY2ZmCiAmPv3KdPmRW04qX9hIMbnU5R4p0AgK18zLIbzK9uDVrRfz+h5BAAAe6zRT94Q8e/ryeSFJZx33AgnDnDt7e7t3qvqJ9wcHhZEiXR6gCExG6L6Y6y3o2rxK4uuX5CgWCXu8/7K8TQTGo8bjoXeI7gEoqDfkIfiggZjdqg5YZSlC4eVxUEp9uvUCJzROvSfkKfu3Dp8WH1ExLg0uND6dK8CkA07V2hXDk/oY85HpgwKbGURh0CP+GQ02IQEIfgqGkkou87yR8u4yf0IUrRmuDfvDKk4iVGtBCSOaIVsCKArbqBhNNPiJCtugHb7RGbLXQFIJIUbj/hxSCGcuw7Llmsfpaqbz8hAWC1KtOcYhqD+1APyzKIQkBTRBAtW2vi7r83wOxc4NJ+QvcPQgiAAEJqeeNLcUuWeFQpNMNEzZ9ExAsTOxiaZgcVgahNsvoYLuMndCtViqIAAeKY3o07Yu+84n5ClmUomgIApOF6N26PuXmxnMfv1YZ61ChDYWH4/IRupUozNABQOk3flir9hClccrI/x7/gJzy6YMH5L78cdPfVjs9omzWaEpxu81SJZLXdfMucJFbVsvRNw8QZ2es/kecnvLNz/ccwoLh/zLDmn+cP+An7EUVxwbxZI7NG6VKuYzTxgGRN8TmxbNnpt98edPc1jB62e1rmPTdfPzwjmaKof5VX76o+xHHs3DnTcnOztCnXMdpEJK9L/ZJ+wn5Eq62srKQgd1Trg68DMY7bsTPoPmfw009otU2dWjhpYn7Lw2txl5RXvYfWy3IYhNlPeFmse/fWl5ZiQYBw+An7Q0ByOLJHps1bMPv0C/+/7+t9eVW71Vn+vaxo0NQktLXtiY11ufsOl5UJguMid5/NZrNZv88a4XpL5/dqduP/lesn5Ds7yqMMrjdkfhWr2/qPdz0UXR9RFAiWZGq5kKzWutxcl7uvbswYp93+wzef/7jpd+b6t3sOr9v09tJjDQftNqvoFELltbuMn9Bms9tslTfM2Q5QBVCF4G+Ph8NPWL3klnIAV8l/sHQ+licXET/hZQmzn9Busx1as/o711t5Ad67Nq+HD9xPyCYnj3j//a4vvkAAKU89xbIq9uLJNyImTdeNmZo3DBMwTMs2x8j1E1o5umlewVQHwQD0zJxutUqtDv4J4A+UVjvi/ffPvPsuAAx74AFGrWaZi6YgqdQatUZW948H/vgJGyePKGIm0RStyguTn7BxfMZoS4maZtQ5yU0j0giR06CJjJ/wsoTfT9iSnaj5WVGUVqNKiNYXpGKLA/yLkYtuwegbb4y+8cahkmJR1IwbnvS7m0PlJyS80zAzL2nuFCyR1sYTxDp0r0zo0E+ePOoSL7CIlJ/wz/eG00/IROmHvfQLjVZHRJH8V50cuUj5CS9LRPyE8c/J9BP6QYj9hAiIIPY7GMWQvePsp0f4/YSEYIsDYwoIkamo+AkvSqL4CRXCj+InlI/iJ1SQheInlI8ShAqyuJr9hD8VItkcRTQtq1fuJ8Jl/YShBVEonKV69foJQ45/c9CCILAgFEPafSKcOyfa7eCankLIUDMYJaEPsJNWh/RVhIMHx5gKqWXRg8v7CQEwCWWvrNjbJ/T0AEJAAAhBrA+X9+CSeCHh6vQTSpIUwjyCKPLnzgFl6v/X5/RUig7O/hpAEFIUlZmRTIh332wwYLu9bdlDSbdnuwoKcVz3DxXbMcW7TecnQIoLc2n7UdFh1qfMVJmy5b8r2oPE+BgJdBgTykephoDL+gkljPUqzLAhsxG1Ll+emGgGhgWniFiWP3yw6stPLAi7K3K0nVOFslK72vyEAJCaMkzNtYQqDM+8/Jqpbg+zsBCcEtA0PnN276aPuzg0WINLGFu6TmaNNgQRIAEEIcPQRQWjeWuna+qYFOx0WBftL77o/KE8/8+LREmiEUIq1dl170pV29jbp7v7CftiWg3GKADUd+pfnDEj5EE4YkR6D4rBGANNYYxDWXcCdLzzTsenn7qPofXs2NGy8oS7n1DCeHxxHsUwWMIA4OrHD5quDRvO/fWDCZt+78oI4jjztu9a//4l85sF7usTFhSM4ThOkjCSreiCS0+/9Fho+Bk3NruvvdMVEjLvVeuePSef/0PxH+9gGIY4JcQwtobGY2/cRa++64KfEOORI9JNJpNrlVuMsf+3UgBByHc38NZOQBQhRKtRT5siq8Lr/Ve56RfXEL0anBJGJC7OVDI+P5rjvP2EA4GB7B11uqSpckQ9IdhypoYQBAicolRclBsfH8rng/9+QlcEAkKzZsh6G4plR6V2ShY9KomIEhCiUnHTZ5YwW2oyvP2EEgYATPCsGRNCNZB29YBFq7XzkKvpK4nS9NIitYwZ6vb6w0wsp5pVQBwCABBCZlwzybH1yEhvP6EoAoAoSVMmFRgN/k69CiAIJcFKsIhoDgAoitIbZE0xQyzHpMYgjiFOiRDgOM4QbeB77UP5CYEQie+Vo+gTSeh1NR4IIXqt5yw2mQThJ4yS55lEDMvEGimdRuqzAQCiKFNctLlf0fewgUzFqxQiSUIfQhQAEEKMBh0lo6ZBNE3r1XSsAffaXS3N6PjoUxQayk9ICDEYNDTtb0dOAB0+jDaeYtSuddcQRdPqBP/39YaIgqPmGLYJgAAoJJotjiOnLuX4QhSr98sYEgiI1SX3L1ZNMKWODW1zNwg/Ia0ZJkeRSE7++Fmxo9vVlUcE0ba38dKzkWQqXp0gimO0CdC/ziyh1Qly/DdEkpydfULTGWAoAAAE1t0NxDGknxAIptUJ/ndBBXBmnD6VYrSAMQAGRKuiZK0pHX//PZattURwAk0hlpE6e4SaY9ELS6+cn9AHCKlMozB2AgDGAqdPo5hQziD30094YbVAIqlMslZHjL39VuHIGWdbJ8UxQFGAiXVLdcwt0/4nrU/oD4hWc/p0jAUAwNjJmUYhGUFomD6NQnrH3qOUVgUASM31/b3SNHeih5+QYWjX0w9jJ2fMRJS/rarAuqol3tzXug07bVHDb6DVMbLcfYQcu/vunqptqet+LZn7On7zTm0U57Y+YT+h9RP6OAuJ53uP97Vs0yZO1MTmUaxca4gHfvkJneK1ZZMK8kdrU2Yz2mT/L55P2l966dR/vpq8+l52eOK5B14/5nDU3lTAArqi6xNehWDR5ug6ZD2zy5A2WxU1UuZb88z/2NT40H1xj94YtXDKmYf/T3t9c8XCQkZ7kZ9QFMXcnMy510/h4ierTNkU4+9iWIGPFxEMQEIy2iOeP39gXJ79dDsAGIvG51RVSMTHyw1ZjqEpOuTh5w7Bosxbf8gjS9KhyZN79uwBAF1GRu6e3cSgB69GN8PSDB2yMbT66TPNFdsRgMoUPXZ/HSTEe4/auWrusI3aRYoQXtkTSx9sf2cdBYAQNaZiOzdhPHi9RoOiKY5lAi3VUA7aBkHvd9+d+3g9Akha/pg2Pz+CZ3LlsNXVDfoJjWVlYVB0NDS0rfkzARK3YIFp/vwwKP5vQOrubn7ySYKxvrg48ZFHQnjkCAehgoKCMoFbQSHCKEGooBBhlCBUUIgwShAqKEQYJQgVFCKMEoQKChFGCUIFhQijBKGCQoRRglBBIcIoQaigEGGUIFRQiDBKECooRBglCBUUIowShAoKEUYJQgWFCKMEoYJChFGCUEEhwihBqKAQYZQgVFCIMEoQKihEGCUIFRQijBKECgoRRglCBYUIowShgkKEUYJQQSHCKEGooBBhlCBUUIgwgQVhY2PjypUrjxw5coXOxieffPJJeXl52OQcDsebb765cePGsCmeP39+9erV69evD/O6IJ9//nlzc3N4tE6cOPHcc8+99tpr3d3d4VEkhKxbt+6DDz4IjxwA7N279/nnn3/66af37dsX0I4BBCHG+JtvvsnJydm2bZskXWrx1xBy+PDhzz777OjRo+GRA4D9+/cbDIb6+vpz586FR7GioiI/P//48eNhCwkAsFgsr7zyitlsDo9cS0tLdnb2vHnztNowrc69Z88elmUtFsuhQ4fCo5iZmblo0SKtVisIvtdCH4oAglAQhK6uriVLlpjNZp7nAzzDIMnKylq+fDkT0qXkL43JZLrpppvUanWgRRk0ZWVlEyZM6O7uDmc2y8vLc3NzKSpMv0dsNpvJZIqKiuI4LjyKtbW1aWlpxcXFRqMxPIoxMTF5eXlarbawsDCgHQN7EmKMXX+E7UnIMIxerw9nOy07O1sURYxxbGxseBT1en1tba0gCPHx8eFR7O3t7ezsLC0tRQiFR9FsNn/77bdr1649f/58eBS7urq+/vrrrVu3qtX+rpgrnwMHDiQkJARa0QQQhAghV8VJUVTYalAACP8Kips3b548ebJGE8r16y9BTU3N3Llzc3JyWltbw6O4d+/er7/+esuWLRUVFeFRLCwsXLVqVVZW1uHDh8OjyHHcI488UlxcXFtbGx5FAKivrx89enSgewUQSxzH6fX66upqrVarUslaATwgCCFhe/ACwJEjR9ra2saPHx+24P/xxx8PHz5stVppOkyLVxcVFa1YsSIvLy8zMzM8iseOHWtubnY6nWH7TZiZmWk2my0Wi16vD48iz/Otra05OTmB7hhAENI0PX369Lfeequ0tDScv160Wm3Y2mkAUFdXV1tbu2rVKpvNFh7FmTNnrlmzJi4ubvjw4eFRNJlMY8aMmTBhQtgU8/Pz165da7VaA/29FDRlZWUffvhhW1tbSUlJeBR7enoSExOjoqIC3VFZLltBIcIog/UKChFGCUIFhQjz38IIFdRasnXHAAAAAElFTkSuQmCC", "info": { "equation": "42+36=78", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", "info": { "equation": "42+36=78", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
3216705c67c71bacc572d1154abb9410f63cb120901c7d6020e4cedef69f842c
69
2,419,304,461
train
2025-09-16T02:27:50.775267
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 2419304461, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'1', 1:'0', 2:'0', 3:'/', 4:'9', 5:'=', 6:'2', 7:'8']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [7, 6, 1, 6])</answer>", "action": "('move', [7, 6, 1, 6])", "reward": 0, "image": 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CuRPzkmJ1ktXOJOoa5z+lSBg56rvtvxI/IQA4lwdkZ6anp4qixLL46+8qF939uibYyfpL+AkpAIBE6Yix2SOGDhZNVjYx9swfN1pLG3Mr9vxL+wl7fyzW3zGHapXgkAiiSYlx4/KyDCWlriA0V1bSCxehh6r4U7Fu0RRIjAFRIhTiYrWTJ+Z27drtCkJLVZXocLi3yED4CR2WVmt7JUKYY9mqA0e6rZqRowrCVXj/fsLzx+AQJZsdEBCjJe6+hWf/c8uvxk/o+lAUJVGUAEASpRnTCpUhrFDv30/oWm0viZJotgFCYrdJf8vc3s/WiJ2d/9J+QsTxbFo84lnqkCgFnudj4nXAnlcJvyLLs0PikYKnDisAsBwbmxBL7Rcoen8Rw+4nlAQDpQQhFjO45XTb0rv+U6UOaTmVO/37CX1koMAPTRpoz2R46d9P6A2lVBejwSFM2ffvJ/RheSGUHZKAVcp/dT8hFe22/fXEYgcEgJFoMNmOtVDJ7VbQlzUuVMUDDcRoAYQAIclotRxqoKL9fAJfU17h9RNKgsF8pgwhhmGYmmPHD9e0JiZduqf0n0v6CT1ByFJRS6zWX5Of0PufjDIZUPDrUi7tJ7wQxGLbgROSyexnq0bNT5i0/N9M26uo3QEMRhwrdfTY9jUk3rbMlSB+0SJWrQ6jnzDp93dYSqqJ0QosRiwmvRZraU3i7//NlUC/cKFCrx9QP6HDdIrYTYAQy+K646duXL4qPjEM4/UuLuEn7PvhOBYzGACQiu/9bFf875b8evyEbj9M38wkrx+JQgjCS/gJ3VqVYRkAwBqV8Zty7YSp/GC/Rtej5yek9Pgdt/f+/NPgtx+WDMZTj78z6JY7h71ywYTPmXXrGlf+Bwqjn3DFiq5vv0xdfz9Q2vLwX+MX3DDir2+7J2jfuPHk/ffDwPgJKbF3138u2Toxw3Z392z6761Pr9uq1enDUriL06+80vDUU64B3qa0uAOLx3EX3jSJZktRUcHkiXlNKzaQTim3opLRhnRLHHk/4fE77nBWCQO0xav2Lp3U5yc8h+gQ8/Oy582eqBhUpIjNRExIvUy/fsJzISDZbNmZ6dfecMWZF/5u/PZAbvleZZZ/k2r++6kGwk+4U636GWAPwD9jlTu+fs87Tfj9hIkJTgfjdxrFN1s2eKcZOD+huXVPe9UbZw/9pffYpr8+d8O2LzaHsXB3qufMKQEoBdiXlGRtbvLw2lktloplNxYDONth873XXY5+wsqrr3KepnKe3fz4Ld51tFosdsFGiRguxf79hFaL5cjal35wvpUX4N15uT3CZeInPLFofJGNEgp4dk6316PzgPgJryuY3mOTAJQzs1uUPi5xA+QnpJSIlnbADELIbDJb7GjewlvDVbgHGW+/zb/6KgVIvP56ZZqPF4rWjR82yjRJybDKnMHHL08/4S9TMsYppjAYK3KHnhw6zNszGXYu6Sdsyh6kWlAYq1YpkuO0+WnEZIN42U/ojaef0MebnQbIT2jrOCD0nkCYY1nmiy9/0qf8hgnhvrp/lNnZmf167djYy95PyA+KS3n19wyrkASB/lAbYmn+4I+fMOkZ2U/oj2KU/IQO8xnnWZMk0QHaO+95Gvk3fj0g/Ar8hIQQkw2xhErh+Cr6pThQfkLZyhQJ7L0nhd4GhFmWZYt3lVscni/yuHzpx0/oHoTuOWQ/oQdyEA44Qk+9+cy5ZTdEkqrrzi5//M/RPaQwIvsJQ0d21g845tO7idCDEGZZ5kh1rT5p2KDUodE+qLDxf8hPOGBE80roj7vvclcUDMeIwwKYBQCMUFe3uWhe8OsN/MS4e/eJhx8GgEF33pnyyCMDqhUtP6GfK8LCyYApBhaE4kWGT4LDw0/ovYIRIyA+3i8ePJf0EwKEWVGyGykREcMDgCBY51y9VJceHsPERRVNpuN3322trQWAxpUrdbNne78yI6At8S5JFPyEgiB0dADuW49ykXFmShyS0M2qEr0GMgNHFIX2dsB6l6J3iQgzwX15AnHWY5wxbDCl3mOzweDpJ+T57p0luwgW3JbzE0rj9UqEMIUwfGO8/IS8qXJvCa+zEndFEhvDYoYJ11eUVSdjVkmpBIAQZhXaAXEJu9P02GOWPhMmdThO3nVXz5qV7n5CiRCesfKKcJokI+0nfOHF+DM1jHIS2EXEMFJzy95/fGjgkLufMDMjbXACMbVVaQZNUibkMgp9KIqt617XH6xkFxWAQwKGIa1t+778sJO/QNHU2ZA1KiaIAAkgCFmWKcwfJZg7nKvwpGC313By+k9/cuwsznt1sShJDEJIoWjbuEkq38HdPAOEc9N3lNLJk8e5sri9sSsYWt94w/zPbYVPrZMkCQMgpeLshx/BT99xy+e5FAklEycUIMRQSkJXBAA+ZihmVZLQCxgB4hSx/r0XPVg6P/64ddMm910fjfv2NT3x7+5+QomQ/PwxPM9LEkHhqCMA8EOH9j8zGUaMu3c3vbp2wp/vRwhRAMRzpoOHTr7zKfP8Le5+QiOTZkNpmNWY2yoYVVIoQWiurGx4/rlxL97Csix1SIhlLbV19W/exrx023k/ISGZI4bq9XrnLreEEP/78QCCUOiuFcwdzrcGqFXK6VND6vA8/ISJifpJ4/PieN65P6Ermd3ucNaG57lZ08ddvDw/FC/0E8bGaqdOLtC2G4dcqOhwOAghAIAxnj1zQiiKTnQZ1xmbvieSEDv8GkAD+xAegJ9QIgBAKJk9c0K4XswZGcz7qvjhcdzEHOe+XQihmXMmi3tbRnj5CSVJAqCYUdg6DitisxAO8k7YWn2UTeAVs/OpzQ4AlNKZcybbttdkevsJRREAREmaOjlfF6P2s/wAvhOS3ex6vMEYa2NCmuny4SeMixF6rc7dAn2kR0in87dWvhUv9BNyHBubEGtt7elHMTY0RSeMIk4/cgkAhOKm8ZOA/YQAYaljJEEMy8aomDgt6bU47/vikuLOXNxPCIAkey+E8ESDGIbRKpmEGNJrdSmewuhifkJKaUyMimH8Pd0BfC1YdRJmlc7KIMwwymT/83rjw09Yc6q//dwQZlQhWe98+AkPnqT9KSJGFaa1owhHIAIhCD8hQNjqGCkoEe1tPY6mdmAxAAAF895an7tZunJwmtSQ/ISS5Ogw2o+3nlNEYN5bS20X9RMCJYwy2f8hqACOjNemYVYNhAAQQIwiNqR3n3n7Ce376+MWTXPuT+j+g5yDmQgpQ5tf8vITWm0lR+J/N925P6EPRaBK/YCPMYQXP/2ELMtgjAAolcTLbtZOf/UCMIJQ3YCVPCBAPGv8omxA/YQxM6ZjpLXtO4bVCgBASt74eZn+mokefkKWZZxXP0IcvC4DYb9fWxHQULUkGIzNO4jDEjt8IaOMD6l3p7T+9tt7ynekbXxUMhjPPv5OVSx/8qqxffsTnkMUxRuunZ2ZNVIz5EpWlRTi9aRhxYqObZ8NeetBoLT94b/8osK1C3KZC7c6Fh3iNQumjx6dpR5yJasehMIxpB5J/PITOsQZReMmTRirGjyX06YhPFAbMA4QHe+9d+LJRwetvFEzJ6/tvvVNjW0/L8pnFfwA+gm/+LLugTsTH/pt7KKprSv+fLq6sWRRAau+wE8oiuLonIxrrprKJ01R6LMx66+xI/D5IkoAaFhme8SursO/ybWeOQ0AusLxOeUlEvUxGcHxLIOZsNzOEYvlcH6Bub6OAsRkZY+qrCA870ORYxkGh6WOUeHo3LldP/2EAJRJSWP274OkJO9ZO2fPffnWsf7mW9o+/ggDMCw3Zm8FO3qUj5lJBnMcG646nrz3vtPvbMQACOExJbv4CePBa+txzGA+cMXAB+vC92zDxsdnvv9e+4dbEEDqI//OKXzZ+8IKVqsz33+v9Z1NAJBy7z28LnaABaPDJf2EvwKGrX8TazWUUt306dqCgggoDn11LaWEEqIdN043LdSXwbsTzpUTMjIyQSAv4JaRiTJyEMrIRBk5CGVkoowchDIyUUYOQhmZKCMHoYxMlJGDUEYmyshBKCMTZeQglJGJMnIQyshEGTkIZWSijByEMjJRRg5CGZkoIwehjEyUkYNQRibKyEEoIxNl5CCUkYkychDKyEQZOQhlZKKMHIQyMlFGDkIZmSgjB6GMTJSRg1BGJsrIQSgjE2XkIJSRiTJyEMrIRBk5CGVkokxgQVhXV7d69eqampoBOhqffPTRR8XFxRGTs9ls69ev/+yzzyKm2NXV9dJLL23ZsiXC+4J8+umnjY2NkdE6efLkM8888/rrr3d3d0dGkVK6cePGzZs3R0YOAPbt2/f8888/+eSTBw4cCChjAEFICPnuu+9ycnJ27NghSdKlM4SDo0ePfvLJJ8eOHYuMHAAcOnQoJiamurq6vb09MoolJSV5eXknTpyIWEgAgMlkeu211wwGQ2TkmpqasrOzr732WrU6QrtzV1ZWchxnMpmOHDkSGcWMjIzFixer1Wq73cfu6/0QQBDa7fbOzs5ly5YZDAbB17bMA0FWVtYjjzzCsoFv4RYser3++uuvVyqVgTZl0MydO3fChAnd3d2RrGZxcfHo0aMxjtDziMVi0ev1sbGxPM9HRrGqqio9PX3cuHE6nS4yivHx8bm5uWq1uiDArdoCuxISQpy/ROxKyLKsVquN5H1adna2KIqEkISEhMgoarXaqqoqu92elJQUGcXe3t6Ojo5p06YhhCKjaDAYvv/++w0bNnR1dUVGsbOz89tvv92+fbtS6e+OuaFz+PDh5OTkQDuaAIIQIeTsODHGEetBASDyOyhu3bp1ypQpKpUqMnL79++/5pprcnJympubI6O4b9++b7/99ptvvikpKYmMYkFBwZo1a7Kyso4ePRoZRZ7nH3zwwXHjxlVVVUVGEQCqq6tHjRoVaK4AYonnea1WW1FRoVarFYqQdgAPCEppxC68AFBTU9PS0jJ+/PiIBf+ePXuOHj1qNpsZJkKbVxcWFq5atSo3NzcjIyMyivX19Y2NjQ6HI2LPhBk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", "info": { "equation": "180/9=20", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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dXMVPCAAABKHsMTnxUXrZamfi9HUzn1XFDs36Ydt14icEAMfygIy05OT+kiSzLN7yw765S9Zq/Z2sN+/bd2TSlKRX7o6YU0CtAlZxm/7y7vTOfllbv0MsCwD2M2eOFRYKtbXO873XvJ+w53O7XSQOc4NMo5fcbNy+02/F7l+K9HPHQ1wkSDKhEB2lGzcmu33nrp4gtJSXS6LofEb6wk8oWpqtrfsQwhzLlh881mnVDs3KC1bhvfsJLx2DKMk2OyAgRkv0A7PP/WXTdeMn7PlQkmRJkgFAluRJBfnqAFaoWyuOs7G8amoutdkBgFI6bUah+elNIMvAsgAgt7fbamudH1HXg5/QQwYGsynxiG/2WxGxPDswBql4KloBgOXYqNgoar9UL49TXkH3E8pCB6UEIRYzuOlMy4L7/xKhCWg5lTO9+wk9ZKDAp8T3tWcyuPTuJ3SHUqqP1OIApuwRwzA6NRMbSbqtjmn66Phom/NJ81T6te8ndP+XKNn2VlG7B7+cl1DJbjtYS4wWQAgQko1Wy+FaKl0KeI9TXsH1E8pCh/nsboQYhmEqT5w8UtkcF3/1ltJ7ruondAUhS1kVsVqvJz+h+z8ZdQIg/9elUFkW24z2k83AYgAABJa9VcTpfZiS69FP2PPDcSzCyNGimL79NX7RH/1WjP/jfZbiCmK0AosRi0m3xVpSGffHP/QkMMyerTIY+tRPKJoaid0ECLEsrj7ZeMfiFTFxQRiv7+EqfkKns4oZDAAogu/+cmfM7+ZfP35Cpx/m4swkbxiKAgjCyEkTMdLZ9p/AGhUAIDXf/eXO2DvvdHQIAUCVlKQvKLj+/IQXkMzmOXNuGBxtqFu8NiI9J2vzloD8hMuXt3//Tf91y4DSpkf+ETPr9iH/eM85QeuGDaeXLYO+8RNSYu+s+Uq2nccM29nZ9cH/2fzcms06vSEohfdw5o03ap99tmeAtz4p+uC8kRf9hBeQzJbCwrxxY3Lql68n5+Xssn2MLqBX4tD7CU/ed5+jShigJSZi74KxF/2EF5BEKTcnY8bUMap+haqoNMQE1Mp0fP3NyYeXxD44Wz93QtPSd0g3zvm1zNmEaTtx4tiYMZLRCNeVn9BisVotO0bmFAOUAhRxzGernwhQUTSbdsbFOhR/0Kq+27TePU3f+QnNzXtay98+d/jv3Sc++MeLt2/9emMQC3emYtq0YoASgP3x8daGehevndViKVt4RxGA4zxsXHrbtegn3HfzTY7LVMqzG5+8272OVovFLtgokYKlWD5/ruNWLAXYuOx29wQ1f31jx3XpJzw5NXPCIC0FxIxLaxkQ6HydjcHVt+VN7LLJAOrJGU1qD4+4PvITUkokSytgBiFkNpktdjRj9j3BKtyF1Pfe4998kwLEzZmjTvLwhaLVowZlmcaqGVadOeDkteknPDo+daRqPIOxKjvldMogd89k0Dk2LnW4fayKYdXDBp5KTXG3MlUPjVP8hF7g6if0MA7UR35CW9tBofsUwhzLMl9/84sh8TdMAO/VvaPOyEjr1WvHRl3zfkK+X3Tim39kWJUsCHR7VYCleQMbrUt84w89fkL3BIqf0GvFMPkJRfNZR9Mpy5IIukV/eg55N37dJ1wHfkJCiMmGWELlYNyKXin2lZ9QsTKFAnv3aaG7FmGWZdminaUW0fXF+9qlFz+hcxA651D8hC4oQdjnCF015rMXlt0QWa6oPrf4yb+F95CCiOInDBzFWd/nmM/sIkIXQphlmWMVVYb4Qf36p1w92zWC4icMnHA+Cb1x913rikLHCSJaALMAgBFq7zQXzvB/hYOXGHftOvXIIwDQb9GixEcf7VOtcPkJvVwRFkz6TNG3IJSuMHziH/bWVslq7XH3ua9gxAg8rQfyn6v6CQGCrCjbjZRIiOEBQBCs025eoE8OjmHiioom08klS6xVVQBQ99RT+qlT3b8yw6ct8a5KGPyEgiC0tQG+6Pa8wjgzJaIsdLIRcW6zCb5zuZ8QPPkJEWb8u3l8cdZjnDpoAKXuEyT+QKzWpmUP9r8rw3EzIJ7v3FG8k2DBaTk/oTTGoEYIUwjCHePmJ+RN+/YW83orcVYkUZEsZphg3aKsJgGzakplAIQwq9L1iUvYmfonnrBUVV2YtRPF0/ff37XqKWc/oUwIz1h5VTBNkqH2E778SszZSkY9FuwSYhi5oWnvfz7t4JCznzAtNWlALDG1lGv7jVXHZjMqQyCKLn5C0tyy/5tPz/OXKZrO16ZnRfoRID4EIcsy+blZgrnNsQpP9nd7DQdnXntN3FGU8+Y8SZYZhJBK1bLhA7n0J+6uST1+QkrpuHEje7I4fWOXPzS//bb5v7fmP7tGlmUMgNSqc59+Br/8wC2e0aNIKBkzOg8hhlISuCIA8JEpmI2QhW7ACBCnivJuHZO/nP/88+YPPnB2aRr3769/+r+c/YQyIbm5w3mel2WCglFHAOBTUnqfmQwixl276t9cPfpvyxBCFADxnOnQ4dPv/5t56W5nP6GRSbKhJMxqzS1lTER8IEFo3rev9qUXR75yN8uyVJQRy1qqqmve+T3z6u8ZjB0PCJmQtCEpBoPBscstIcT7dtyHIBQ6qwRzm+NbAzQR6okTAmrwun8uMtw3jerUIMoE0bg4w9hROdE878FPSCkA8Dw3ZeLIK5fnheLlfsKoKN2EcXm6VuPAyxVFUSSEAADGeOrk0YEoOtCn3mas/5HIQtTgWwD1bSfcBz+hTACAUDJ18uhgfTFnaDDvL+cHR3NjMh2eG4TQ5GnjpL1NQ9z8hLIsA1DMqGxtR1RR6Qj7+Sbs7iecPG2cbVtl2pQCpOJ7VuXKkuyIQEmWJ4zL1UdqvCzfh3tCtpt7ujcYY11kQDNdiOPZpBjEs1SUKQWe5yOjI4Vu65X8hAghvd7bWnlWvNxPyHFsVGyUtbmrF8WowBQdMKpow9D5ABCIm8ZLfPYTAgSljqEEMSwbGcFE60i3pcfdd/bKfkIAJNu7IYAejUc/YSNGjv0J3V1glNLIyAjmSl8g6IYPtwWrices2lEZhBlGneB9XneoZLcdqCEWOyAAjKQOk62ysTf/FcJMREDWOw9+wkOnaW+KiIkI0tpRhEMQgeCHnxAgaHUMFZRI9pYusb71gruPgnlvVS9OVADKafsH109o3ltFbeIVTZiUMOoE74egfDgyXpeEWQ0QAkAAMaqogL77LH7xH0zbyqldBAYjjpXbuuwHaqLnFrj4CVmWQY7BTITUgc0vufkJrbbiYzG/m+jYn9CDIlC1oc/HGIKLl35ClmUwRgCUytI1N2tnuHkWGEGoqMVqHhAgnjV+vTvEfkLjV7sNt4y5sD+hsyJzUVGfirDXX1vh01C1LHQYG34ioiVq8GxGHRNQ605pzb33dpX+lLThMbnDeO7J98uj+NM3jXD1E0rS7bdOTUsfqh14IxsRH+DzpHb58ratXw589yGgtPWRvx+NwFWzspnLtzqWROmWWROHDUvXDLyR1fRDwRhSDyVe+QlFaVLhyLGjR0QMmM7pkhDuqw0Y+4i2jz469cxj/Z66Qzstp+WBdfV1Lb/OzWVVfJ/6CasfXBT38G+j5k5oXv63MxV1xXPzWI1jf8ILHVFJkoZlpt5y0wQ+frzKkIFZb40dvs8XUQJAgzLbI7W3H/lNtvXsGQDQ54/KLC2WqYfJCI5nGcwE5XWOWCxHcvPMNdUUIDI9I2tfGeF5D4ocyzA4KHUMC8enT2//5RcEoI6PH35gP8THu8/aOVrua7eONXfd3fL5ZxiAYbnhe8vYYVkeZiYZzHFssOp4eukDZ97fgAEQwsOLd/KjR4Hb1uOYwbzvir4P1gWvb8PGxKR9/FHrp5sQQP9H/4tTebL3BRWs0aR9/FHz+x8AQOLSP/H6qD4WDA9X9RNeBwxa9w7WaSml+okTdXl5IVBMeXM1pYQSohs5Ul9QGMSSg7lyQkFBwQ+UBdwKCmFGCUIFhTCjBKGCQphRglBBIcwoQaigEGaUIFRQCDNKECoohBklCBUUwowShAoKYUYJQgWFMKMEoYJCmFGCUEEhzChBqKAQZpQgVFAIM0oQKiiEGSUIFRTCjBKECgphRglCBYUwowShgkKYUYJQQSHMKEGooBBmlCBUUAgzShAqKIQZJQgVFMKMEoQKCmFGCUIFhTCjBKGCQpjxLQirq6tXrlxZWVnZR0fjkc8++6yoqChkcjabbd26dV9++WXIFNvb21999dVNmzaFeF+Qf//733V1daHROn369PPPP7927drOzs7QKFJKN2zYsHHjxtDIAcD+/ftfeumlZ5555uDBgz5l9CEICSE//PBDZmbmTz/9JMvy1TMEg+PHj3/xxRcnTpwIjRwAHD58ODIysqKiorW1NTSKxcXFOTk5p06dCllIAIDJZHrrrbc6OjpCI1dfX5+RkXHrrbdqNCHanXvfvn0cx5lMpmPHjoVGMTU1dd68eRqNxm73sPt6L/gQhHa7/fz58wsXLuzo6BA8bcvcF6Snpz/66KMs6/sWbv5iMBjmzJmjVqt9PZV+M3369NGjR3d2doaymkVFRcOGDcM4RP0Ri8ViMBiioqJ4ng+NYnl5eXJy8siRI/V6fWgUY2JisrOzNRpNno9btfn2JCSEOH4J2ZOQZVmdThfK97SMjAxJkgghsbGxoVHU6XTl5eV2uz0+Pj40it3d3W1tbQUFBQih0Ch2dHT8+OOP69evb29vD43i+fPnv//++23btqnV3u6YGzhHjhxJSEjwtaHxIQgRQo6GE2McshYUAEK/g+LmzZvHjx8fERERGrkDBw7ccsstmZmZDQ0NoVHcv3//999//9133xUXF4dGMS8vb9WqVenp6cePHw+NIs/zDz300MiRI8vLy0OjCAAVFRVZWVm+5vIhlnie1+l0ZWVlGo1GpQpoB3CfoJSG7MELAJWVlU1NTaNGjQpZ8O/Zs+f48eNms5lhQrR5dX5+/ooVK7Kzs1NTU0OjWFNTU1dXJ4piyPqEqampHR0dJpNJp9OFRlEQhIaGhszMTF8z+hCEDMNMmjTp3XffLSgoCGXvRaPRhOw9DQAOHTpUXl6+atUqi8USGsUpU6asXr06Li5u8ODBoVE0GAzDhw8fPXp0yBRzcnLWr19vNpt97S/5zfTp0z/++OOmpqaxY8eGRrGrq6tfv35RUT7vwa5sl62gEGaUyXoFhTCjBKGCQpj5f/8ElZLYXq/vAAAAAElFTkSuQmCC", "info": { "equation": "180/9=20", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
cff24b5a7bcf8690e6b7dc49c446eca2904e1f1c3c61039757de8494de4f16c0
70
3,472,040,177
train
2025-09-16T02:27:50.792473
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 3472040177, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'7', 1:'2', 2:'+', 3:'7', 4:'4', 5:'=', 6:'7', 7:'4', 8:'5']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [6, 0, 8, 4])</answer>", "action": "('move', [6, 0, 8, 4])", "reward": 0, "image": 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1b92+vfvYMfeNqa+k5PwfNjQVZiGhvyMUY2IxMUjODINRqf/tb/nOThoAAbRv216fFs/pJEAIAbhczq/3/G3enFzn1YOasDTjhNm0LtJPd8MRbbb6devdFaAAJn95UurpUaYnbHnxJXeE9ADhu7/Zn5LCi/3SNaGvD536Iuu/H9XPn659/DXdZyXw458rq/DEjRsxxxEA65o1XoO340PDE0+K165RABgg5WIbKjsNAzdn+RBBqFuzFghxz4mZduLSyY/fvcYiChMAIIT0vv561s+WxDz1gO21PcZPzwotV1lrnK9ehKtXGzdudJ/DDEDK3tJDhe87sYQIAIAkisLev05/5mHTqvmtv3urYf2TUz/5+5gzxfunrY2CaLNVFBY6a2qu37MCricUMQAQIAWzcg16Pc3QZScqUgt+ljol0ycXAND5ySdVy5ejgREOCqCGAvalh5csnQuY7PuiBIg4vyifZnVYdJgnLdJH+yvwHU7d6tVNr7wy2AgOiJ4QAQgA9Xdk6pYX9kvXCJ6cNS0lIU4UBGLnLv/gN1Pe/0DBJNWQ0/3555V33IHE/kGFQOkJEUDDRAP87j4KCBDABFtiY/Lzs3Cfi4401xc/bUwrTHv3HV9rO6aecFJ66tTJSaKTQwx9uWB14uYXJ/zysdHLHPtOiHt6XBcverafA64nHJyHzvMCJoSI0rT0pOi4GJ/Kd+M8exZj7OklDkOv1H8t1Go1M/NnMBoNIYSiNVxXtS4q2/97rxf2Eye8NFn+6wkJAAUwOyZhwq0LsKN/nEAUJdHJAQLKpDcuyraXnfw+JqHz3DksioMhC5SeEAOk0ebUhXOARu7WNcGEt7sAAbY7w+5f2PPGEQW1laUndLjcNvM9hX1Hyyb8cowyZTRHKQqxrKdMJuB6Qi8xCCFEr9NoFHU9Da8Yvj631q3ZEnRad/MASXwvBGH8PojSNYJHkK4RQFqGsUYg+ns56js8ZIHSE0oIOF4AaoQgMwlRlCJht3w9IWJoJj4KtY2dKTJuAhh7CdWCoSccasCUJgxoJcdoBAEhwA0mYRDGMEHhzKVRCZR0bSTF4IgTQRDuc3EV9QQrn04YQgjPe58YAdITEl4c+RqLkOv0Jex0+urihl5GgvAiV14rJ1PGTkImOtoyb14w9ITGQT3hkCEpIFhk9LEUa/TVBQBYlixh9HrP2ppnT6XDjYNBdXsBAIwFjSkx4G1RAIgsLibDlvhayHA9Ic1QYYtyGbg+gseyDEVTQFO418Gfvxqx7HY/ax4SLLfcojGZAq4nBICwxTNYo5ahac8TDACQlrX/43jE3fcoqO2YekKWZWiaBooiouQsrY4sHtvL2B0zAOA4c6Zi9mz3NcBPPWHNihXufEAAJYun9UxPRB5DUgSTVfcumpg6w2AtoljfHgkGaVi3rmHLFnfnJM/S++7KyllcsGRBAQDs+exgecWl6KjwH9+3JCy+QBedSzH+ToEfDuH580VFvWVlyG894ZmsLKGlxS3yrJkSe2FZDi1eT0zR6SwsyC7MnHrlwS2Ry3+c/OJ3V084Ok1PP92waRPyW0948Uc/an//fQoAAfSatCU/moWMusHp4FgUY8KMP3rwzrZN7/AXurOPHqP0el9dYJfrbH6+8/x5d1AaEsJP35s/RE/ocmVnTF48f9aVf/kvY+YPp/zt3bELlSl5qgiQnvD4ogWHAI4C7EyJOHv+mJcQy+lwSCJPiGKpFyGEiH19pydPdkvXrm7d2tpj++SN1V3nX+08/392v766tbXF5XRgSfDHxZi0f/3lt4HQE7b/9a+HAEoATsTEOJuaPEWeTofj3O83fgNQCvCFhv7qo9cU+hgvPeEoiE5nQPSEXENDmcVSAlAC0LHzIy+lX+uJsi8G3hf6t0fvVnySdX3++WGAEoBjWm1f5XkvLzVvvPoVQCnAtzT6dNvv5RQo9/JcHSA9YfWctOkWjqVo+9w0FtE63y9FY0IbjcnbtrV/8AFjMEz4t3/rtPd6Dtbr9QatLvBOvWiJNgRETxj94IOOs2f5jo7I227TDXvxXFOG1Xx7fphOp8tL7DAr3Klx0xOOgouCgOgJNRMnpmzb1vnNN7q4uMjiFV7WlmhL7z15iZSeSohoystQrCcMW7w4cdMmZ319WGGhcVqGl7U1OYZamhuuN0pZ8fZ4WbP85CZh4PSEcXEPF7Kstr2sfPgbfgJF2JIl15tVQ1VRJICCwlEIkJ4QABK3bLmRidZpYn//vdETjgYnBkRPCABRDzwQ9cDIE5SIS4h46Bb/9YQAkPAf/3EjE0IQ87t7rYmJ3bYOckFWUMZbT0gkjPucmMUB0+x+VwmUnnA0VD2hr14CpCccHQ8JqKz8+l6OLKkEDFVP+B1A1SX9U6PqCb8LqEn4T813SE/4T8y4N0f9frO9SgD5jugJv3fUrFzpqKmJWLQo8cUX/S9NbhJKkuT/DC/C87zNBqhfP8KMND4hcV2IYuR8y0auU0Kkce8EwhgHRBs5OpKE/e/s/S7oCQlxn2DBBROCA/ECsbY332z/6CME4DxzJmL5cvNQ1RVFs5jzzYvcJExImEDTHT4VPZyrW/8UVldNaWeARChE1e7ZfSX9HAx+jgJIXs40qq8cKK0pYT5rSvDTnRutVmO1RmOMkXcfRBCJjLAwXaZg56E1LloLNv/noIdcT8iydEJ8LMaYDuZrECwmQ1RUuJ95KFy92rBhg3tSDgGoW7Om69knr+sJMXZ2NeSkWXy6OMpNwsyMtN6r3QQIISM+zI+Nq6am4Zk/5Lz0iPsnYej6dRssa5cyqXH9ekJCeiLqw8LCJa7H2VEeqCQ0Gg3pU5JFzs5QdEAuhHJIiI8zOKLd7oLndGp6Sk9jAyGEEL+8MLGxqTd4Gez4oNVqb8pI5R1dNE1jHIDb+4hER0eyiVZJwsiPoNQ/+STf0jIo8uw9dapx87ohesKJ1oiINPeNXaYXWUmIRbvdVoMoCmMcExORaE1VUHu+to6O0rB5aYQXJYCUlImaBGtSZqZhbpaXnhDRrGBvxlw3pVUybcILl+2CwPUiREuilD/jJqMh8JNFh2NvL8eEIAQIoR8UTA+GC4IF+7XzABTGxGIxzkieFgwv44Or6yLv6AJEiZKUO31qeJjCacOj47x2VhRERNGY4MKC6cp6J+R9n1AEAK1WM2umrKDIuxMSCYt2BIgQYBnGoFc0Wo8oxmKkLQZs5wgCvVGvMeo4QaSH6QkBEBYdgRLmSLwdiASIJoSYjHpqXHqGJL5n8H+z0gllY0CIxNvdD+o0TRkNIWhGBgos2gkWEa0hhBgN2iA1Sj3lo4qDIl9PSCFkMMq64ss6IxGlYXRRQAgAoWgdpQ2Xs9UwMH+1U2juAIYCmuIbrwmtXSM/zhDMaCNQgPQNjCEGUe4DRyhdlKyv5PgNaxx8eQmidUpeETA2iGIMMQAYABDFUtrAvyxn3GB0UYjRAhAgmNJGIiooScgY4wZniyoOii/fJ6RpXbScMuUlIa1jDVaCRSCYYgysQcmnxfTTs2lNOHehHmlZpGW5ygaapY3ZyYHVEw5HY04EigGCCRY1pkSExuMNiBpL6sCdHGssSlrvY4IoRmOa5A4KUBqNOTEYXsYH1jSRonXuGLGm+IGLZoDRWFL6Nd5YVByUIH6fcEywYLc3HxIcrWEpd9I6hSO2tl27Lq3+3wn//XMi4tbHXz+QGdudE3g9oTeEiM7W7tpPtREZhth8igm6hAIACBa4rpq+xm/MiYs1llREBWU8FotOR2sZ11UdlnIno4/1/zPgoYOIzo7u2k80liRj3A8oxhAUH0Tie+p66/9htBbpIqYhWkmqj60n9P37hHKT0L0XQDD4dyepvvue9k8+BoDYFfcm7XgHi97dRxoNQ9FMwN86QYg0PvfAIU6xFKSW1RAvodi1YDA+O+K/l+4vvji/ZAkBYLXam06folNSYOh4AU1TLMvIzxSfrtDIzwwEgMQ/vkRHRyOAhA1PaVgtBOvtu96E5DQdhwyEEO1aMBifHfHfy+h6QiVVGid9nYqKyg1QZ3KqqIQYNQlVVEKMmoQqKiFGTUIVlRCjJqGKSohRk1BFJcSoSaiiEmLUJFRRCTFqEqqohBg1CVVUQoyahCoqIUZNQhWVEKMmoYpKiFGTUEUlxKhJqKISYtQkVFEJMWoSqqiEGDUJVVRCjJqEKiohRk1CFZUQoyahikqIUZNQRSXEqEmoohJi1CRUUQkxahKqqIQYNQlVVEKMmoQqKiFGbhJ2dXU999xzZ86cCWptAODNN9+8cuVKUF1UV1dv3ry5vb09qF527Njx8ssv87z3B1wDzs6dO7u7u4NX/vHjx9etW7dnz57guQCAysrKZ599tqOjI3guOjo6tmzZsm7duqCext3d3Vu2bHnvvffkbyI3CQ8fPhwTE3P06FFJkhTVTRbl5eW7du26du1a8FwAwIkTJ+Li4g4dOhQ8F42NjS6Xy2AwnD17NnheAKCzs3P79u1BTfWmpqaFCxfm5eUFz4UoimVlZUlJSUENislkWrZsWUxMDDfsa7sB5MCBA+np6R0dHXV1dTI3kZuEdXV1xcXFHMe5XC6l1RubzMzMhx56CGPvjxYGEIxxdnZ2QUFBX19f8LzExsbee++9XV1dDBOUz4MOcvz48ZSUlKB+WksURbPZHBkZxM9xO53O9vb2nJycpKSk4HnRarWZmZkmkykrKyt4XvR6vdPp7O3tRbK/2So3CXmeNxgMhJCgZghN03p9cL+kS1FUVlZWZWXl1KlTg+dFo9F0dXVdvHgxISEheF5cLpfNZsvLy5MfbwW0trbu2LFj9+7dwXNBCKmoqHjvvfeCeo8CgJaWFp1OZzAE5UvAbhISEnbv3t3U1BQTEyNzE7lJyDAMx3EIoaDGGwDG4XuJNputvr4+JycneC6am5vNZvOKFSsuXrwYPC81NTV79uzZu3dvUBu98+bNe+6552pra4MXGkmSsrOz165de/z48SC5cFNbWxsfHx9UF2fOnNm0adP8+fMbGxtlbiI3CWNjY48ePcowjE6nU1o9WWCMg52H+/bty8rKCmpDsa2tbf/+/Z2dnUH1kpqaun79+qysLKvVGjwvVVVVjY2Ner0+eNdfjUYTFRXV3NxsMpmC5MJNVVVVUFtAAKDX69va2mw2G0XJTS656xUVFX300UcZGRnBfsgJDw83Go3BKx9jfObMmbfffrukpCR4XrKysk6ePFldXZ2bmxs8L0ajMSMjY9asWfJbPgqYNGnS5s2bZ8+eHTwXRqMxOjp6+/btN998c/C8iKKo1WqD+oAAAHPnzt25c6fT6UxNTZW5ifq5bBWVEKMO1quohBg1CVVUQsz/A/vj0XPwXaUpAAAAAElFTkSuQmCC", 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", "info": { "equation": "72+74=146", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", "info": { "equation": "72+74=146", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
a3d5c8da87bbf89fc7a8feb3be504e20d183538388ea62305bbdd73f5d3e9c2a
71
1,655,351,289
train
2025-09-16T02:27:50.809133
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 1655351289, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'9', 1:'4', 2:'-', 3:'5', 4:'6', 5:'=', 6:'9', 7:'0']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [0, 5, 2, 7])</answer>", "action": "('move', [0, 5, 2, 7])", "reward": 0, "image": 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", 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", "info": { "equation": "34+56=90", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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f7tHcfm3vG9uztlbaqg9xebk+K555ebOurppZOhlsAtC09XSnpf2ULDFhuMDA99+ffe11ezgJAGlHu0hFFfjTT2hfKOPyC3PlgDAhgElL1kOxzzwbv2GDb7Vy8hMiACtA+y/SlMuLhhWBZfIKc1U0gwWMZExL9oNR9z407s0tvin+/Morbf/+744ZLQLww3jV3LefmjA2mkLUD/sOnjt3bs7sqdqQEEIQwZawtHtomc43OfDMT4gpNHlaTphKKVhsdJj6ZNFjmuwZKdu/8G08oCd+QoxQ5tSsyBCtYLLSEdr2+c/IwiemfbPbrQPj/0Ou4icEAACBkJTsjISYKN5gYiJDOu9/lW/WT6r6kdHpfFA0VFcfKZ4V9/vbFIsLiclCydjS37xZcj467atdiGEAwNrVdayoyNLWNrzP/O8nHF5qtdkwwQAAHKO7u2Twn3t9qNJIijRAQeiYMY6KAFarDdvd/QIJfeD6we/3+a5YUeH4lQAwAPEGIA6/o3hGflh4mG3oeGVMPT+px872WdFzP6FgsQEANljCVi/sf3W3z4qe+wkFsxUQ4EFj6IMLz/2mlAjCKCcU/caV/YTDC3le4I1mQEg4b9DdPa/zrpfx4CD4FISm+gYmnJPNziZmKwAQQq69rsjwVCkIAjAMAAh9fea2Nidvqp/9hK7/QgzNxEXilm4fqnQFRRshIykCTTEJkYg7419F4fK8qtVqw5ceZohYd5/3fkIuIdLtWp4qeusnJMAlRPrTpTn6XNlP6AZMmLgISqHw3U9I07RaTodr8IDJnqYPjQw1OzYa5SY9738/odPmidlqrmkivPsjyRNGVBwBYuPNBxuJ1Y1fTpTiFTJaCIl193nvJzRWNRIxLk1v/YQIGasasck0SqOFRoOr+gmdYShzTbMwOOhzHYkg2HoGrS1ngKEAABAYDzZih/thgkffTzj8YVkGUQhoilh5/e6aiPvu8a1W4M5PyLCMbuFUmrhTpCgA0H95IPJeEYorVzqdUmiGCVk0zXHEHEPTLEMjZH9gJHKdqD4GD/2ELMtQFAUIEMcMbNsffvtKn8/ZHvoJWZahaAoAkIIb2LYv7KblYi6/AeYqfkKHOtI0DQCUSj74P+Uhs6/z2U+oKZ5BIbX50AlKKQMAJOcGtu0Lv+UW+wMhAMji4rSFhaPuJ7RvWTAYb7p5fgwrO7XqDc3UmSmln4jzE67sLi0dVjyaObZ13iTaetlYJ95gWLx4zrhQXft9mxXJWWk7dorxE7auXv3z22/TFxUb08YcnJF0903zxiXGUhT1z71VB6qOcRy7YP6M9PRk5di5jDIaietS73j66Y5Nm4YVW5Iiji2e7OwnNBhLSvKz0yd2PPgaEO01+8t97nMGD/2EBmNR0eRpU7NOPbwF9wqZVdW0WlQPfuD9hE133mk/ciiAnkjNgeVTLvoJh+CNpsxJE+ddP6PzmQ+MP7ZmVddwsbE+K/b/9/aWRx4If2ihdun0zlWv4wEq60AVpbpkkjCfOHFs6lR+cBBG0U9oNBqNhh+Sx9vf0vmDnN32Z7F+Qltvb01Cgl3xaH6+1WxyUjSZjHumZJUBVALsZelPNj0mUlEwGOrS08sAygDqMjJsJtOebz7/cfuT/fVvX2h4Z/vbq5obj5qMBt5m9ZfXDvP8kbw8u2JtYqL5XLern7Bi4fx9AJUAlQj++uht4kWv6iesWnnzXgC7k/PDVYuwOLmg+AmbVq7cD1AO8KNcPvjTT651rHvmiX8CHAD4EeD9JdNMWLSfcPlS+6FYCfDh6iWuBZr/9Mc9o+0n5DFpmZtRlDkGE9DMSOkPE+snZMLCJnzwQXdpKQKI+dWvWJncabQPAWiZnTo9UUUA0dMmnI0Va/WjlMrxH3xw5r33AGDML3/JyOUsc9mYIZlcIVcoR1jbFxBNj3/vvZ+3bCEAUStXyiLcvM6wqWB8DjONpmhZZnxrQoJrAa/wxE/YlJuYps+X04w8NbZlfDwhYm5oguMnTNy8mVIoCIC2qEidne1aoDUjJnJBrlYuk8dFKDPiBKNoP+G0pAxrvoxm5OljTyYluFqZmiZGjLqfEPO84ppxMU/e5C8/IQBo58zRznEzksvOaPgJ1QUFE6/wAotR6J9QZmdPeO+9KxRgo0KiX7qHYeXYaiHfnhAp54mfkAlRj9l4l0KpIjxP/lEnRi5YfkI2Kmr8FVuV5kbDT3j3sJ/QtcC/pp/QE8XR9xMGH7tRjSUE+6dVr+4nJATrzRhTQIhIxaD5Ca+K5CeU+D+C5CcUj+QnlBCF5CcUjxSEEqIImp/wfxFe+AklfOPCV1+1PfMMAMSuXRt5772jLYcoJKqv00uC5Sc0nTjRtGIFAQibPz/+8tfVjhaejUHzAS/8hBzHCr6+SNxn+BFeAOUvBIwpN0OO/Abf39+yapXl9GkAaPvVrzTFxa6zzWDiz15ZfmDQeuECIAQEgBDEunF5D0+J5xeC4ic8ef/9+ro6BGCsq9Nce63uF79wLoQoP9bRyU8I7vyEiKLdDV+7Ol74CQVBiArXDO3dgIAAksaNJUDQqHWMRkeGCaDCmFBuWtUPtK1ebTl92t6qgl5/8r77+p59xNFPKGCslmGG9ZuNqGPt2ujofmBYsPGIZS0NRyt3fqJH2FGRo02czJ/vVw28n3CgvHw4M3nq4Yeb3viDo59QwNiqP6saF+qvMHTyE+IzZw9t/7iXQ46K+t625DQNIa4ZxKswFIQdL7wweDHfCgA0wNn//FvXQJ2jnxAQTC/IxQ4ZWJEVuyoIQW5OunGgy357Ze/j9i/jxydcQGEYY6ApjLE/z50A595999xnnznm0C7s339qXavT/IS5UzIphsECBtF17P300+7//DBv+wv2iiCO6//u+44vdjKPL3GcnzA7O4PjOEHAyE+tyiUkXDkX6kcG9+8/vXGjY6uaWlvbH37gMj8hxqkpE9QaNc8LAEjksWqorm578bdTfn8bwzDEJiCGMTY2Nb9+B73hDpqi7NckAeMJ4xN0Oh3P8wCAMfb8UPLaT2jfu0qFfMb0UT/hWQZaTYNnEKIIAY5jZ82Y4mcBgvVnaghBgMDGC1Ny0iMj/Xl98GJ+QnskIDR7psv7L7xS3F+hnJ5MT4whvACEyGRc8ax8ZldNoqufUMAAgAmePTPPX4m0wOCFn5AXAEDgheLCHLmIEequfsKZ104z7z4+YVYhknHDjxICL9gjkBeE6dOytRpPh1756CekKEqtGd3XuQMA5o1EsNpfMIEQ0mr9OaDMjmAdsN88EELUSudRbCLxwU8YIq6OiGGZcC2lUgiDRgBAFKWLCO0fUnSfNhCpGHi89RMSQrQalTvHn8eK7vyEpylkn5/Q9XmeEKLRKOiRXiDogk9+QgBE0bQ8ykMNn2Hk4RSrGpqiG1G04uomZS9BrCp2aPsEU/Jw8fMTOeKDn5BWjBGjSASb5eRZ/tx5e1cesfLGQ00jvd3cL4qBx2s/IRBaHgXI975NVz+h4WAjMdtG7E4jmJZHed4F5Z2fkGFohAAAA6JlIf6ZU/oKsMoxNKshmAcggJDc7/klhGS6iRjbAABjK6eOpxh/Xt4DPz9h+K23WI+fsXX2UBwDFAWYGHZVhd084//Q/IQOH/piZpLTTUQigtDVTzj4RYVuwdSh+QkdFemLitokz6e488pPCILAL186N3HceNXYubQ8TMzZxUMEy/nBzj2CuS9k3EJGEel3RSJYLAMnB099p4yeqgjPpFix1hAnPPIT+nd+wo0bT//Hq7Eb7mHHRXf/8rVms7l2cTYLaFTnJwwwHvkJbXx2Vsp1s6fKootkIRNEvjWv/7+3Nz10b8QjN4YsnX7m4be66tvLlk5mlPb5CYcChOf59NSkBfOmc5EFMl0KxXg6GdalfJGtq+twVpalt5cAhJeUTNj9D0HArtkIjmMoig5A+F2CYAJEpLn2agq8yEN/xC0LwrGCggvV1QCgSkxMrz5INGpw6atjWJqh/ZNDA4D64ln9ZfsQgEwXOulwHURFumbt7GfuwExQMxo03377mY8/pgAYuTzjwAEmLdVNZpKmWJbxVx1bVz3Y9e47FABCVEbZPi4vFwRnRYqmOO8VvfATBg1vB6X7ojBaA9k98RP6nfHvv9u56SUCJGLJEnl8fAAUA89V/YR+J+GlTYRggrF6yhRtoT/Hk/lz5ISEhIQPSAO4JSSCjBSEEhJBRgpCCYkgIwWhhESQkYJQQiLISEEoIRFkpCCUkAgyUhBKSAQZKQglJIKMFIQSEkFGCkIJiSAjBaGERJCRglBCIshIQSghEWSkIJSQCDJSEEpIBBkpCCUkgowUhBISQUYKQgmJICMFoYREkJGCUEIiyEhBKCERZKQglJAIMlIQSkgEGSkIJSSCjBSEEhJBRgpCCYkg410QNjU1rVu37vjx46P0a9zyySef7N27N2ByZrP5jTfe2LZtW8AU+/r6NmzYUFpaGuB5QT7//PP29vbAaLW2tj7//PObN28+f/58YBQJIe+8886HH34YGDkAOHTo0Isvvvj000//9NNPXq3oRRBijL/55pvU1NTvvvtOEK40+asfaWho2Lp164kTJwIjBwCHDx/WaDT19fXd3d2BUSwrK8vKyjp58mTAQgIA9Hr9K6+80t/fHxi5U6dOpaSk3HDDDUplgGbnrq6uZllWr9cfO3YsMIpJSUnLli1TKpVWq/u50EfCiyC0Wq29vb0rV67s7++3WCxe/kIfSU5OXrt2LePXqeSvjE6nW7x4sVwu97YpfaakpCQvL+/8+fOBrObevXvT09MpKkDPI0ajUafThYSEcBwXGMXa2tr4+PgpU6ZotdrAKIaFhWVmZiqVysmTJ3u1ondXQoyx/Y+AXQkZhlGr1YG8T0tJSeF5HmMcHh4eGEW1Wl1bW2u1WiMjAzF7IQAMDAz09PQUFhYiNNpTPw7R39//7bffbtmypa+vLzCKvb29X3/99e7du+VyT2fMFc+RI0eioqK8PdF4EYQIIfuJk6KogJ1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f7tHcfm3vG9uztlbaqg9xebk+K555ebOurppZOhlsAtC09XSnpf2ULDFhuMDA99+ffe11ezgJAGlHu0hFFfjTT2hfKOPyC3PlgDAhgElL1kOxzzwbv2GDb7Vy8hMiACtA+y/SlMuLhhWBZfIKc1U0gwWMZExL9oNR9z407s0tvin+/Morbf/+744ZLQLww3jV3LefmjA2mkLUD/sOnjt3bs7sqdqQEEIQwZawtHtomc43OfDMT4gpNHlaTphKKVhsdJj6ZNFjmuwZKdu/8G08oCd+QoxQ5tSsyBCtYLLSEdr2+c/IwiemfbPbrQPj/0Ou4icEAACBkJTsjISYKN5gYiJDOu9/lW/WT6r6kdHpfFA0VFcfKZ4V9/vbFIsLiclCydjS37xZcj467atdiGEAwNrVdayoyNLWNrzP/O8nHF5qtdkwwQAAHKO7u2Twn3t9qNJIijRAQeiYMY6KAFarDdvd/QIJfeD6we/3+a5YUeH4lQAwAPEGIA6/o3hGflh4mG3oeGVMPT+px872WdFzP6FgsQEANljCVi/sf3W3z4qe+wkFsxUQ4EFj6IMLz/2mlAjCKCcU/caV/YTDC3le4I1mQEg4b9DdPa/zrpfx4CD4FISm+gYmnJPNziZmKwAQQq69rsjwVCkIAjAMAAh9fea2Nidvqp/9hK7/QgzNxEXilm4fqnQFRRshIykCTTEJkYg7419F4fK8qtVqw5ceZohYd5/3fkIuIdLtWp4qeusnJMAlRPrTpTn6XNlP6AZMmLgISqHw3U9I07RaTodr8IDJnqYPjQw1OzYa5SY9738/odPmidlqrmkivPsjyRNGVBwBYuPNBxuJ1Y1fTpTiFTJaCIl193nvJzRWNRIxLk1v/YQIGasasck0SqOFRoOr+gmdYShzTbMwOOhzHYkg2HoGrS1ngKEAABAYDzZih/thgkffTzj8YVkGUQhoilh5/e6aiPvu8a1W4M5PyLCMbuFUmrhTpCgA0H95IPJeEYorVzqdUmiGCVk0zXHEHEPTLEMjZH9gJHKdqD4GD/2ELMtQFAUIEMcMbNsffvtKn8/ZHvoJWZahaAoAkIIb2LYv7KblYi6/AeYqfkKHOtI0DQCUSj74P+Uhs6/z2U+oKZ5BIbX50AlKKQMAJOcGtu0Lv+UW+wMhAMji4rSFhaPuJ7RvWTAYb7p5fgwrO7XqDc3UmSmln4jzE67sLi0dVjyaObZ13iTaetlYJ95gWLx4zrhQXft9mxXJWWk7dorxE7auXv3z22/TFxUb08YcnJF0903zxiXGUhT1z71VB6qOcRy7YP6M9PRk5di5jDIaietS73j66Y5Nm4YVW5Iiji2e7OwnNBhLSvKz0yd2PPgaEO01+8t97nMGD/2EBmNR0eRpU7NOPbwF9wqZVdW0WlQPfuD9hE133mk/ciiAnkjNgeVTLvoJh+CNpsxJE+ddP6PzmQ+MP7ZmVddwsbE+K/b/9/aWRx4If2ihdun0zlWv4wEq60AVpbpkkjCfOHFs6lR+cBBG0U9oNBqNhh+Sx9vf0vmDnN32Z7F+Qltvb01Cgl3xaH6+1WxyUjSZjHumZJUBVALsZelPNj0mUlEwGOrS08sAygDqMjJsJtOebz7/cfuT/fVvX2h4Z/vbq5obj5qMBt5m9ZfXDvP8kbw8u2JtYqL5XLern7Bi4fx9AJUAlQj++uht4kWv6iesWnnzXgC7k/PDVYuwOLmg+AmbVq7cD1AO8KNcPvjTT651rHvmiX8CHAD4EeD9JdNMWLSfcPlS+6FYCfDh6iWuBZr/9Mc9o+0n5DFpmZtRlDkGE9DMSOkPE+snZMLCJnzwQXdpKQKI+dWvWJncabQPAWiZnTo9UUUA0dMmnI0Va/WjlMrxH3xw5r33AGDML3/JyOUsc9mYIZlcIVcoR1jbFxBNj3/vvZ+3bCEAUStXyiLcvM6wqWB8DjONpmhZZnxrQoJrAa/wxE/YlJuYps+X04w8NbZlfDwhYm5oguMnTNy8mVIoCIC2qEidne1aoDUjJnJBrlYuk8dFKDPiBKNoP+G0pAxrvoxm5OljTyYluFqZmiZGjLqfEPO84ppxMU/e5C8/IQBo58zRznEzksvOaPgJ1QUFE6/wAotR6J9QZmdPeO+9KxRgo0KiX7qHYeXYaiHfnhAp54mfkAlRj9l4l0KpIjxP/lEnRi5YfkI2Kmr8FVuV5kbDT3j3sJ/QtcC/pp/QE8XR9xMGH7tRjSUE+6dVr+4nJATrzRhTQIhIxaD5Ca+K5CeU+D+C5CcUj+QnlBCF5CcUjxSEEqIImp/wfxFe+AklfOPCV1+1PfMMAMSuXRt5772jLYcoJKqv00uC5Sc0nTjRtGIFAQibPz/+8tfVjhaejUHzAS/8hBzHCr6+SNxn+BFeAOUvBIwpN0OO/Abf39+yapXl9GkAaPvVrzTFxa6zzWDiz15ZfmDQeuECIAQEgBDEunF5D0+J5xeC4ic8ef/9+ro6BGCsq9Nce63uF79wLoQoP9bRyU8I7vyEiKLdDV+7Ol74CQVBiArXDO3dgIAAksaNJUDQqHWMRkeGCaDCmFBuWtUPtK1ebTl92t6qgl5/8r77+p59xNFPKGCslmGG9ZuNqGPt2ujofmBYsPGIZS0NRyt3fqJH2FGRo02czJ/vVw28n3CgvHw4M3nq4Yeb3viDo59QwNiqP6saF+qvMHTyE+IzZw9t/7iXQ46K+t625DQNIa4ZxKswFIQdL7wweDHfCgA0wNn//FvXQJ2jnxAQTC/IxQ4ZWJEVuyoIQW5OunGgy357Ze/j9i/jxydcQGEYY6ApjLE/z50A595999xnnznm0C7s339qXavT/IS5UzIphsECBtF17P300+7//DBv+wv2iiCO6//u+44vdjKPL3GcnzA7O4PjOEHAyE+tyiUkXDkX6kcG9+8/vXGjY6uaWlvbH37gMj8hxqkpE9QaNc8LAEjksWqorm578bdTfn8bwzDEJiCGMTY2Nb9+B73hDpqi7NckAeMJ4xN0Oh3P8wCAMfb8UPLaT2jfu0qFfMb0UT/hWQZaTYNnEKIIAY5jZ82Y4mcBgvVnaghBgMDGC1Ny0iMj/Xl98GJ+QnskIDR7psv7L7xS3F+hnJ5MT4whvACEyGRc8ax8ZldNoqufUMAAgAmePTPPX4m0wOCFn5AXAEDgheLCHLmIEequfsKZ104z7z4+YVYhknHDjxICL9gjkBeE6dOytRpPh1756CekKEqtGd3XuQMA5o1EsNpfMIEQ0mr9OaDMjmAdsN88EELUSudRbCLxwU8YIq6OiGGZcC2lUgiDRgBAFKWLCO0fUnSfNhCpGHi89RMSQrQalTvHn8eK7vyEpylkn5/Q9XmeEKLRKOiRXiDogk9+QgBE0bQ8ykMNn2Hk4RSrGpqiG1G04uomZS9BrCp2aPsEU/Jw8fMTOeKDn5BWjBGjSASb5eRZ/tx5e1cesfLGQ00jvd3cL4qBx2s/IRBaHgXI975NVz+h4WAjMdtG7E4jmJZHed4F5Z2fkGFohAAAA6JlIf6ZU/oKsMoxNKshmAcggJDc7/klhGS6iRjbAABjK6eOpxh/Xt4DPz9h+K23WI+fsXX2UBwDFAWYGHZVhd084//Q/IQOH/piZpLTTUQigtDVTzj4RYVuwdSh+QkdFemLitokz6e488pPCILAL186N3HceNXYubQ8TMzZxUMEy/nBzj2CuS9k3EJGEel3RSJYLAMnB099p4yeqgjPpFix1hAnPPIT+nd+wo0bT//Hq7Eb7mHHRXf/8rVms7l2cTYLaFTnJwwwHvkJbXx2Vsp1s6fKootkIRNEvjWv/7+3Nz10b8QjN4YsnX7m4be66tvLlk5mlPb5CYcChOf59NSkBfOmc5EFMl0KxXg6GdalfJGtq+twVpalt5cAhJeUTNj9D0HArtkIjmMoig5A+F2CYAJEpLn2agq8yEN/xC0LwrGCggvV1QCgSkxMrz5INGpw6atjWJqh/ZNDA4D64ln9ZfsQgEwXOulwHURFumbt7GfuwExQMxo03377mY8/pgAYuTzjwAEmLdVNZpKmWJbxVx1bVz3Y9e47FABCVEbZPi4vFwRnRYqmOO8VvfATBg1vB6X7ojBaA9k98RP6nfHvv9u56SUCJGLJEnl8fAAUA89V/YR+J+GlTYRggrF6yhRtoT/Hk/lz5ISEhIQPSAO4JSSCjBSEEhJBRgpCCYkgIwWhhESQkYJQQiLISEEoIRFkpCCUkAgyUhBKSAQZKQglJIKMFIQSEkFGCkIJiSAjBaGERJCRglBCIshIQSghEWSkIJSQCDJSEEpIBBkpCCUkgowUhBISQUYKQgmJICMFoYREkJGCUEIiyEhBKCERZKQglJAIMlIQSkgEGSkIJSSCjBSEEhJBRgpCCYkg410QNjU1rVu37vjx46P0a9zyySef7N27N2ByZrP5jTfe2LZtW8AU+/r6NmzYUFpaGuB5QT7//PP29vbAaLW2tj7//PObN28+f/58YBQJIe+8886HH34YGDkAOHTo0Isvvvj000//9NNPXq3oRRBijL/55pvU1NTvvvtOEK40+asfaWho2Lp164kTJwIjBwCHDx/WaDT19fXd3d2BUSwrK8vKyjp58mTAQgIA9Hr9K6+80t/fHxi5U6dOpaSk3HDDDUplgGbnrq6uZllWr9cfO3YsMIpJSUnLli1TKpVWq/u50EfCiyC0Wq29vb0rV67s7++3WCxe/kIfSU5OXrt2LePXqeSvjE6nW7x4sVwu97YpfaakpCQvL+/8+fOBrObevXvT09MpKkDPI0ajUafThYSEcBwXGMXa2tr4+PgpU6ZotdrAKIaFhWVmZiqVysmTJ3u1ondXQoyx/Y+AXQkZhlGr1YG8T0tJSeF5HmMcHh4eGEW1Wl1bW2u1WiMjAzF7IQAMDAz09PQUFhYiNNpTPw7R39//7bffbtmypa+vLzCKvb29X3/99e7du+VyT2fMFc+RI0eioqK8PdF4EYQIIfuJk6KogJ1BASDwMyju2LGjoKBAofDn/PVXoKamZsGCBampqR0dHYFRPHTo0Ndff71r166ysrLAKE6ePHn9+vXJyckNDQ2BUeQ4bs2aNVOmTKmtrQ2MIgDU19enpaV5u5YXscRxnFqtrqqqUiqVMpmoGcC9ghASsAsvABw/fryzszM3Nzdgwf/jjz82NDQYDAaaDtDk1Tk5Oc8991xmZmZSUlJgFJubm9vb2202W8CeCZOSkvr7+/V6vVqtDoyixWLp6OhITU31dkUvgpCm6eLi4jfffLOwsDCQTy9KpTJg92kAUFdXV1tbu379eqPRGBjFWbNmbdq0KSIiYty4cYFR1Ol0GRkZeXl5AVPMysrasmWLwWDw9nnJZ0pKSv7+9793dnbm5+cHRvHChQvR0dEhISHerihNly0hEWSkZL2ERJCRglBCIsj8P7AyjKhZPpQkAAAAAElFTkSuQmCC", "info": { "equation": "34+56=90", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
1e466690e6328fbe3718464e2336ddbf76bb1c3efcb0db36f0491d561537f2f3
72
1,308,306,184
train
2025-09-16T02:27:50.824954
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 1308306184, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'2', 1:'3', 2:'+', 3:'5', 4:'=', 5:'1', 6:'7']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [2, 7, 3, 4])</answer>", "action": "('move', [2, 7, 3, 4])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "23-6=17", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", "info": { "equation": "23-6=17", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
eb8e6d6470ba487a95faaf0bbfa87cb2be6bdfadf350c3fe3dfcf09a72441332
73
68,574,553
train
2025-09-16T02:27:50.841759
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 68574553, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'7', 1:'9', 2:'5', 3:'/', 4:'1', 5:'4', 6:'=', 7:'1', 8:'4']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [0, 0, 2, 4])</answer>", "action": "('move', [0, 0, 2, 4])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "196/14=14", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "196/14=14", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
fac94504c28b10b8d16c4a5ecc2d123f7e8184482bf7303b8d73f0a3c3714120
74
419,498,548
train
2025-09-16T02:27:50.856675
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 419498548, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'5', 1:'3', 2:'-', 3:'5', 4:'=', 5:'6', 6:'4']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [5, 4, 1, 5])</answer>", "action": "('move', [5, 4, 1, 5])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "59-5=54", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "59-5=54", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
6cd15b3cb9e68f0027367a8d739cf417390c5fc45484ba91921951b721a50c23
75
991,681,409
train
2025-09-16T02:27:50.873970
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 991681409, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'3', 1:'2', 2:'+', 3:'9', 4:'5', 5:'=', 6:'1', 7:'3', 8:'7']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [8, 0, 4, 1])</answer>", "action": "('move', [8, 0, 4, 1])", "reward": 0, "image": 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", 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", "info": { "equation": "32+99=131", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", "info": { "equation": "32+99=131", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
15261a0fcea14b02a1a3b49b671d71777d34750bc61c72640114e5c9d97bb65b
76
2,938,758,483
train
2025-09-16T02:27:50.890181
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 2938758483, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'5', 1:'0', 2:'-', 3:'2', 4:'0', 5:'=', 6:'4', 7:'8']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [7, 6, 0, 4])</answer>", "action": "('move', [7, 6, 0, 4])", "reward": 0, "image": 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", 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", "info": { "equation": "60-20=40", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", "info": { "equation": "60-20=40", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
3e1ada7c7d711f9cd53fbf3035afefb6ee7c9b01b5ca213354e1e34a9a81bb7e
77
1,035,196,507
train
2025-09-16T02:27:50.906126
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 1035196507, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'2', 1:'5', 2:'+', 3:'7', 4:'0', 5:'=', 6:'3', 7:'6']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [3, 0, 1, 4])</answer>", "action": "('move', [3, 0, 1, 4])", "reward": 0, "image": 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", 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", "info": { "equation": "26+10=36", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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JIySzjYkIufybDbaS2qwD+z25n3rkJ+zZKohd7j6dlp82RdENz3M/IXa6+2US+uAtpu/2eK+4b5/rRwLAACRYgLgcx/RpE8PCw8SutnXG1nJEHzfDa8Xr4nM/oXnvPt2UVHp0LJFkIESj4QoLJ7bv3BPfncB+7pzY0eH6Rvgz8xP2bJQkWbLaASG53WK8f079L1/FJhN4FYRD8BNa7ICQ1G423l3U+eUaqbV1CEE4uJ+w/1cURekNioaYDdlPSFNMYiTiGn2rKF/bkysIIu79MUOGu0fL935ChmXCg6kgrWyyAgCiKGNEqJlrdkngxhr3E7JQwPX8hG7AhImPoLRa//kJMWHiwiktD5RHbf6e+gn7HhZF03yUJwIDMVQ/IREl+8HTRHDjl1OkOEiPFkLD3aPlcz8hkUXH+SbpSrvz9BNBsh4+Q4Tem5pba9zPzE/YF4ayl5+VTSavyzhUPyFiKPuR87LZ4qHiIH5CvsdPeK27DwAwIFoTomgOCA/9hCzLIAo5Lynz5rLIFcu9V1y2rM8thWaYkPmTXEfMMTTN9jgYgfDG4W1j8LmfMPyuXwgnG8X6FopjgKKAENPW/REPLO9JoJ80STtyZF/Fn5Of0OXKoWkaAKgg3vRVSciMm4bbT8iyDM04FbWmbaX6/CncCI9s6L1+wtOLFrdt3eLcSgFU5MY3FI3t8RM6kWVp6eLZI5NSguJm03yYQnefR35Ci2XhwllJocbaB9ZrU7PHbNmqZPqJmkcfvfz223S34ukxMQenJd9/+5ykkSMoivp+94GyAyc4jp03d1pGRqoubjaji0a+aFIfBN/7Cdeuvfz269Fr7mOToutX/EWbMX7Mpk2ulda+bdupBQvgZ+sn7EKy2rLGjp5zy7T6P7xn3V+Tfajcw5Bwiyd+QtluTxuVcNuiWZdf+i/TjiNZpQf5VM8eVD2mJuvF2h84phRgP8CWGMMP337q1t0n+87dd30/oc26Ky+7GKAUYDdLf7LuaYWKssVSmZFRDFAMUJmZKdpsu775Yv+m37VVvd1RvWHT2w+fPX3cZrVIouCFK8xrfO4nLBmb6ZwhczdHf/rq7/onOPJz9xParNbKP/z2e4AygP0A7y6aZMPD7ic8se7l75yz8gK8e1NWh6PvzL0D0dvI1KFlLy7Mm4I5DESemS4x7HC7+67rJyQA52akTxkZRADRk0Y1jVBq9aN0upT33mt85x0AiHnoIYbnWeaaMUMaXstrdQPsPVz43E9YPTujIC2EADJOHtUcY+yf5sS/gJ+wJjM2ct74YF7Dx0foMuNl67D7CS+mRWtvzg3RaTVRofqceGy2Q5hH7xcul6BdDL55QszcyVgmlhMnxUHmXPIR1/UTEgL8qNiYX90CCFk7OsmBq8pF9ZMnjx5kAgvVTzhEfrx+Qs7ffkIKIHL10pi4eBoBbCn2/EpyCUIERBC73H0yBj9M/OeBn9BpjQOEiGMAa9zPANVPOBwEwk+ILQ5stqEhKqp+QhVFqH5C5fwLG4hUfIHqJ1SOGoQqivgx+wl/KvS+jvpz+vdeRSWtciru8MRP6EN+tH5C3+PZGDQv6A1CR2Oj1DO+iZCB+otloROITGu8WVijD0Jzs2SzgXN4CiH9x3ZSCLCbGc19iYwxNcwS10Xy6SRX1/UTAkDPkng+4cfpJwRE+bCMIEmO5magjF0fadrNEFyK9u5y7QpC2WRq/NVjsY9OcR43xXKtP3y3y2oVJZfB9Qjyc8cSUyUWbfq4Qi4kFVHeVyi22eoffSz2rjRnRSGOa99VvAdTDpfh/JiQMCOPEEV8YmF0R3RkmAxBGBPKTa36ieSkOOS7Z1cfP6Gj+njp1k/MCKPuKpQx5mgbp/Hl/Ko/Nj+hjLFgbgpKCvVVGDa+ut5YeYhZPA5EGWgaNzYd3vRxK4dcFc2tF1LHGAgZ8mSIXUFY9++r0OHDY3NWSDKmKQo0mob1rzsKv2cXTHT1E3aGXwrSGwjBpks/hAUnIQX9GA2vvCLu2p395yWSLNMIIY2macM7culO9q7prusTTpqU17OLs43bt6SkJHagMIwx0BTG2Jf3To8Zn5tpbunqHlRYxtZPP23+z/fzNz3vLAjiuLad39X9cyvzzCLU3VYpY5yTk8lxnCxj5KNa5RITRw3aa+dDTHv3Xlq71rVn0lZTU/v4g9f4CTFOTxulN+glSQZACmeEsBw6dOHFP+b9x90MwxBRRgxjPX3m7Ov30i/f67o+4aiURKPR6FzlFmPs+aXU7SfctSfkwVswx4AgYYxjYyMmZGeGh8ZEufcTUoRge8sxXbT3U3d0fr/b+MuZRM+DKGNEIiKME8dnh3KcGz8hIQDAcWzhtLyB8/MKgs2N5YQgQCBKcl5uRmSkv+fflqxNlraarncKhGbcqGj+jv5+wumFE5lt5SPnFLq2WIpiV68dJnjGjfm+6kjzD0PwE0oyAMiSPL0gl1cwQt1WVc2Ec5oZOcQuAAAh5MaZk+zbT47q7yeUJACQZHnKpJxgg6dDr7rKgjiOTYwEmgaQCCEang8KMThkeeDVAmVZULRaIGI5Jj4McQwRZUKA4zhDqMHRaRtIESEUHOz7AWWy0Ol8eSCE6HV9R7H5ASI7sGSjuifRCFFWRrd+wjYgzvUJ3e6iUNH/DNVPSAgJNgRRCu40iKZpPU+HG3CnzfmmGRoZeolCA/kJCSEGg5b2eALBrnREcNgPnu6y81GUdKXDXtMIeMCRAYhi2CBFbVxEEuzlZ7FVAARAIanNbD95abAV5BBFa72feWWgTNmgEV1LRxNM8eGIctOMMaxQnIHRGHsWlKS1MUpyc+8nHLThR6Gi/xmynxAIzUcpcfwQWRZbTMK5RmAoAAAEloOniX2w9QlpPsrzJqhuP+GK5aYtZQAEKIriGPFSi3SqLnT+pOHzE0Y+cL95ewURRKApxDJyS4dQfjZ0cYHf1icEAEBIYxyNsQgAGAucPoFi/L0iDa0JZbQRBEsAQIisMSpaHbGvnxATy7YDYXdM61OlDENTFAIgRJZ+cr12HvoJGYamu3smOeNopCAIDdOnUUhvP3yK0mkAAPGc6Z/7jPMm+Hh9QiLLZ5YsNp84GPefz4jnG1tWfXAwUlc/M2MY/YSEnL3vvo7SnfEbnpLbTFee+XtFCFczZ6w/1ycEACI7HJ3nTRd36qInaMOzKFbpUlNeIAud1sYyR+f5kKR5jG6E5yfPLQ1r1176219GvLycTYpufuj/nbXbKxbmsIBc79qSKE2fmjcxf6x2RBGrj/f/818hHvkJRSknO+2mGRM00VM1IaMUzprX9t+bzjy2IuJXC0IWT2l8/K8NVbXFi8cxOt+sT9jbXyTW11dm3iB0thOAsBsLR+/cIcu4f9cAxzEURfskGKSrV4/dkGW73AAAwbnj00uLZeKmM4LlGNpHigNBsKTw0ld+CIRgXxmIq6YXthXvQQAaY+jYo5UQFdm/18555/ZJr11AOHvPPY0ff0wBMDyfWVbGjEl30zNJUyzL+KqMNQ8/0vD3DRQAQlRm8R4ufzz0W3qcoilu6Iou6xPGxY368IPWr75CgOJ+72Z9Qp/DhIWN+vAfzR9vRACxT/4bq+EDdUMOdAQCAPKhhT/l3b/Xr/szARKxaBGvbELRHy3X9RP6nMQ/ryMEE4z1eXnBBb6cn96XIydUVFS8QB3AraISYNQgVFEJMGoQqqgEGDUIVVQCjBqEKioBRg1CFZUAowahikqAUYNQRSXAqEGoohJg1CBUUQkwahCqqAQYNQhVVAKMGoQqKgFGDUIVlQCjBqGKSoBRg1BFJcCoQaiiEmDUIFRRCTBqEKqoBBg1CFVUAowahCoqAUYNQhWVAKMGoYpKgFGDUEUlwKhBqKISYNQgVFEJMGoQqqgEmKEF4ZkzZ1544YWTJ08O09G45ZNPPtm9e7ff5Ox2+xtvvPHll1/6TfHq1asvv/zyxo0b/bwuyBdffFFbW+sfrZqamtWrV69fv769vd0/ioSQDRs2vP/++/6RA4DDhw+/+OKLv//9748cOTKkHYcQhBjjb775Jj09fefOnbI82OKvPqS6uvrzzz8/deqUf+QA4OjRowaDoaqqqrm52T+KxcXF2dnZ58+f91tIAIDZbH7ttdfa2tr8I3fx4sW0tLTbbrtNp/PT6tyHDh1iWdZsNp84ccI/isnJyUuWLNHpdILgboX5gRlCEAqC0NraumzZsra2NofDMcQj9JLU1NQnn3yS8eNS8kajceHChTzPD7UqvaaoqCg/P7+9vd2fxdy9e3dGRgZF+en3iNVqNRqNISEhHMf5R7GioiIhISEvLy84ONg/imFhYVlZWTqdbty4cUPacWhPQoyx8x+/PQkZhtHr9f58T0tLS5MkCWMcHh7uH0W9Xl9RUSEIQmRkpH8UOzs7W1paCgoKEELXT+0L2travv322zfffPPq1av+UWxtbd2xY8f27dt53tMVc5Vz7NixqKiood5ohhCECCHnjZOiKL/dQQHA/ysobtmyZfLkyVqtn9avLy8vnzdvXnp6el1dnX8UDx8+vGPHjm3bthUXF/tHcdy4cWvWrElNTa2urvaPIsdxTzzxRF5eXkVFhX8UAaCqqmrMmDFD3WsIscRxnF6vP3DggE6n02gUrQA+JAghfnvwAsDJkyfr6+vHjx/vt+Dfv39/dXW1xWKhaT8tXp2bm7tq1aqsrKzk5GT/KJ49e7a2tlYURb/9JkxOTm5razObzXq93j+KDoejrq4uPT19qDsOIQhpmp4+ffpbb71VUFDgz18vOp3Ob+9pAFBZWVlRUbFmzRqr1eofxcLCwnXr1kVERCQlJflH0Wg0ZmZm5ufn+00xOzv7zTfftFgsQ/295DVFRUUffvhhfX39xIkT/aPY0dERHR0dEhIy1B3V5bJVVAKM2lmvohJg1CBUUQkw/wsYlWvZQTKOXgAAAABJRU5ErkJggg==", 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", 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", "info": { "equation": "26+10=36", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
9f25ac0e864f4d8b05afc50ec13918ec88ddaf14a13327b093fb95872daf42bc
78
1,890,440,558
train
2025-09-16T02:27:50.921670
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 1890440558, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'1', 1:'8', 2:'5', 3:'/', 4:'1', 5:'=', 6:'1', 7:'5']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [1, 6, 4, 0])</answer>", "action": "('move', [1, 6, 4, 0])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "105/7=15", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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"info": { "equation": "105/7=15", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
79b620a16bce951348324e0b4ce1fc960927d0661953058f2dd3a9b58a89729b
79
2,934,594,491
train
2025-09-16T02:27:50.939418
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 2934594491, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'2', 1:'5', 2:'+', 3:'9', 4:'6', 5:'=', 6:'7', 7:'2', 8:'3']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [6, 0, 4, 1])</answer>", "action": "('move', [6, 0, 4, 1])", "reward": 0, "image": 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", "info": { "equation": "25+98=123", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "25+98=123", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
9a934345359c04aef68f3792deeec51cfd067737d39697b321eaa86e1a93f3f8
80
524,150,214
train
2025-09-16T02:27:50.957175
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 524150214, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'1', 1:'4', 2:'+', 3:'2', 4:'*', 5:'0', 6:'=', 7:'3', 8:'8']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [8, 6, 5, 6])</answer>", "action": "('move', [8, 6, 5, 6])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "14+2*8=30", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "14+2*8=30", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
bf3b181db014352fce8854948e083812d1d187cd6f79a0d283a79d69471c35ac
81
2,619,915,691
train
2025-09-16T02:27:50.975190
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 2619915691, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'7', 1:'9', 2:'-', 3:'5', 4:'0', 5:'=', 6:'7', 7:'2', 8:'9']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [6, 0, 2, 7])</answer>", "action": "('move', [6, 0, 2, 7])", "reward": 0, "image": 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", "image_prev": 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", 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", "info": { "equation": "79+50=129", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "79+50=129", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
5162651514cf154ae0b1b42566b8d135dc46a1fb907b68c9cbe700ce01a70690
82
2,126,768,636
train
2025-09-16T02:27:50.991457
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 2126768636, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'3', 1:'7', 2:'+', 3:'9', 4:'9', 5:'=', 6:'7', 7:'5']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [3, 5, 4, 4])</answer>", "action": "('move', [3, 5, 4, 4])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "37+38=75", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "37+38=75", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
b0a8abc80f6b90499088bd3ca10237625d16a639c8b4b5d4ac62f411859c3b27
83
3,578,544,903
train
2025-09-16T02:27:51.009130
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 3578544903, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'0', 1:'+', 2:'4', 3:'*', 4:'6', 5:'=', 6:'9', 7:'2']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [6, 5, 0, 6])</answer>", "action": "('move', [6, 5, 0, 6])", "reward": 0, "image": 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", 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kbX6CH5PY8sz7oYdLxNY2NtzD6U59UIVn2Q2NgqGWAuOIQJZhKiqrR6TkT8r32VtA/S9/aa2qclzpPEDariNHJ3xsIhK6dnmYKit11rq07Y+p542/+oedjc/9Vpufr0ga6Y3oyNdeYyIjAUA/b546Nc27FtycS1u2GAuPOdqIAcZ8U3Ji90cdmOJrMWBraWHLDmb84SHt/bPatn2e9UmhcPIUP3GCx4pXXnutfd++3lHuxnXr6hRiKwu9ihIhxrba1NFaSqnL7PGb0DNtrfYX666+9VrK8dckhBiMa5qvFN/3wt3bPtDdd4+j3NV3361audK5F+Wln7Dx2Wfrn3/e2cEoAXyXqb/zf56KDQ/BGO/7+qjZZJg1c5JGq6MUKBXDMldg1vP7WR8/IQIQAWpmJqt/MgtsPQlDyjA5U3J0Cp7YRawLqp64NuS2H4364D2PRftgbS81NHyNcI/XgeO49//6WcHS34zNcTPFxAMG4yckCI2dlBURrJMsdiZcVzd/vSIsZfT+vW4dGP+G3MRPCAAAEqVp2ZkJMZGiycJGBDc9/IpYZRxz/AdWr/dA8SZ+Qse8T0JGJSckJSWKosixzJ5vjt+6fEvo4GarXvMTfn8weNXthGfBLhJCRoyIElMTOgsLe4PQ+MMPffb00k/o6mBUAMSZKLm2FWM8c0aeLlgn9SS7keVqSVBMvueKNzoDKQAGmKQJj51fQMzXzQeCIBC7CADUZgt5ZKHhL76cM6AITra0RkjWDkCYY9ni0+e7bbqU0eN8Vf/g/YSS1Q4IiMEc8sjCq7/dSSXJf9k07xjYT9i7URQl0WwFhKROk/6ntzY9+BIxGMCjIBzYT9g7K1cSJVEUAUCUpCmTs3Xawc657GkL4nkuIQIYBkCklCqUvEavBfb6u5/b26Q3XjvXfSmAdGOW024Xrl9SlEq2bo/l3CoCgADU4Zl0swNCfEKELz2TAIhRqsLHGRq+RQhjBjddbrlt2WqV2qvuyg31D9VPSMHnbRxuBvYTuoFQNi4cq1TD5Cd0tbxQSrVaFdPf8LsLPeWo3WY9UdFjGsRYvNplrWmhktMXPdzMjDdU+nUw9gfCnGaEx3L9Kg6Q0SLUfLzCrUPPYyRbh6m5ECGGYZgLFbWnS8p3ffhSW+tlX9U/ZD8hQubjFcRi8dg85X9u6ifsC4utRVWSweBxG2/uJ+z7P8IoIwc/BHXNT7jiIcOuYwAUMEY8KzS2ChUtYffe01su7J57MMv20fTGT+jq02NVCt3tk5znOrEsw7GOMQwKCCm9yy+5+gkZBCGL81hAzuksjmMxxoAQMIzhH4fDH3zQG9E+CMZGYjcCQiyLK6vq7lw4e3SyvqG63Ff1D9JPyHEsZjAAIBXf/enB0B/d5aV1w5/cxE/o1EaGYQAABykNXxwJLpg7XH5CJ1HH048QgdclITzY/GTPwAyVpMply8xlp2J2PCFUN1/67Xuxa38Zu369c9HGDRsaN226/nVsXvsJLy5f3rJzp+M2wACcz4oryUtYde+CmOhwhmH+ue/wmbNVLMcuuaNgVGpKUOw8VhUByKt5djVr1lx+4w3mmmJ5elTFwixGuMH+LBpNt98+PT1xRP3KV9iwxDFff+urEQtK7J1Vn0nWNsywnZ2Gt9797OeP/rip6fI3hfVPbXoPY98k1gflJzSZ8/PHTZ6UVb92O2mTxh4/yWi8eiX2v5+w8ic/6XX3tUZoj92Vc81P2INotowdk3Lr7dOa1u8w/1CTdbKIH+H5m1THl19WLFkKlDgU23SKwvtyr/kJe0JAFMWM9KQFt07hI/IU+jTMDjZxgHo7XeaG+uOJiSoKCOBKuDr00535M25IUVBKCzPSHH5Cm1bV9senl63xKrsltrefHT/eUl9PAfS5uWmHDn6396NIrjIxMR5j/M13JyYveDo8MprjOQYzXoafA2I2n5s40VBWBgDazMzRx44Sjocbb3Enb5sLB4+yAITBNb95+P7n3/Re14H5ynHT5ULE8AoF/9eP/hkerp83O48SePf9TybNfXTa3KW+Eiocn0VPn8UAQpCi8ZnHlrr4Cc+u+qnlw094AARQtnrRT9/40ptRGWKxnM/PNxQXIwAEMObQoeH2EwJA1f33N3/4IQZglcrMY8fY0el92lix8dm2zX9SAyCAc0smL//ssBJ5NXXm9H13Gz/+OwOAWeb8qjuWv/qRs5/QAWYwz7FDzYVeP6xuFVd/V+4UwhEK0ux0QerbPROpj/2EbGjoqB07WnbuRAAxv/gFxys49oY0oFKlUqp8aevFanXyjh3Nb78NANE/+xmvDXYtUzUtZVIoQQjzOSPrvfMTOkMpEc0tgBmEkMlsMRi671w4XRQljPHsgryislO+CsLB+AkrJySONuYqGVaZPuJicjylXn1BQkD8hIlbt2KVigLo8vM17ibc1mTGRCyYoFMqlHHh6sw4yeytn/D8xIRMy2QFyyhHxyqTEpS8z+bZ9+8nFPp+wxIVJZ/7CXVz5ujmzOnvv66j7d6jyctLycsboADvOz+hM9bW07buaoQ5lmX+8fn+sITJusgMa0clATYyMrz2i48Lv981pWCR90KD8ROywZrozQ+q1EFUFOk/S7yRC5SfkIuMTH777QEKMLyP/YRsiCb6xQcVSjVIAt1zdsgp+QFqvv7rv4efMPD4zk/ojGC67DhrkiQKELRi9QYFB7buRipZVSrlkjtmVlw865MghMH4CSklRishGCj1so0B8xPeFJ/7CQklRisREQLi24tf9hP6A3t3ja27FmGWZdlDh0+YBYVSoQSsYHgNUEIIiYiKrDr3r4sVZwJ9pENG9hN6jxyEw46tq8p4qWfaDZGk0sqrD6x5BgAQoKDYAsQqCSEqpWL1Q0saz31JRMuAlf3bIfsJvUcOwmHHdOkQsXUhhFmWOV9aoY9IjIpJcPyLU0cxvI5SQikghs1KDyF2Y2CPdqgEzE/4/xBD8BPKeICto5wIZsAsAGCE2jtN+XNvmOGgCh8n1O8HBECpSKiltVibcKs3iggjH34Z7E0JlJ/QUl5eee+9FCB0/vz4LVu8r/DmDNP3HvXrJ6TU1aPE85zk6ReJDxJJIpQJ8PwpUfTZF+8DgGQ3UCIihgcAm80y6/Z7dfE35NAwF+RIAfeU97q/JHYb7F1dgBBQAErdfnNx75J4PiEgfsLqhx/uXcBDO2uW3nUJPYR9ObouiraWFsD6nj8Zxv2AF5EkWzurDBtSWtu9nxBzfNt3335vNgvi9cn1kiRFhml7zu7wEBMdzpnVw5GZGDxJI33ZY2HVkZhVUioBIIRZhcv0V8wFMYpgIpgcp837/lLDunVRUR3AciCIiONsZecKd39kRKTXTygRwjMWXuHLRRf97yfsPnKkNzNZv3Zt5bY/OPsJJULsxitBI0N8dSk1v7RVX3KSXToOBAkYhjRfOfX5h208clZMTIhJiOKMzSfUkRNUYVmDt6H3BGHDbzegU6fGZK8QJcJgDArFpa2v2mb+i7szt9drBwim5E0gThlY37TPifS0pK66SkIowwAhJCDROGF8pqmz1vG705ieh/DaBMyqJFs3YASIUwT3/V50RhHCqsJtti7E8JRKCn26N3JtH3/c8r/vTvz8mR5zNs93fPNtw2e72f9a4rw+YXZ2Js/zkkSQL9oIAHxCwqgBs3Y+xHDoUOPmzc6ZSUtNTd3aVTf4CQlJTxul0WpEUQJAXl6rppMna5/7fc4LP2ZZlgoSYllzRWXVqw8wmx5w9hMaIMbKJmA2yNxyilGEqIYahH38hDEx4ZOyMsNCoiOdvXYU7EKPt0itUk6b4uMbHiWC4cppChgARFHMnTQ2JETnW4mbIpiazF0NCGEAwBgXzJjofZ26pEWG+q+JZAseuQDczZwKGjEDYd7WXR0yaimjcDOJZ/AYDx1VT0llUmKoKAGlCgU/fWYu+1VRoqufUCIAQCgpmDHRj1/M6QOG4CcUJQCQRGn61PFKL2aoW0rL2DBeUZBNrXYAoJTOmDXZuvfCKFc/oSQBUMwqre2lytCMXvf2wPTnJ1QGBWttktSf1w5jrNGqXLd7B5Xs3Y6MNqVUq1Exfh8roqKFSjbEKAAAIRSs88GkOUYRok+5CwD66ycwvE6bME9DCfK6v4RYjg3T4SCVZDADAMJYHx7SAXSA9Ql90kZ/MlQ/IaVUpw3CXtxpEMMwGiUTpiXdFkeaPiQipBGj/vyEAEiydzt39QdmAD9hM5B+ZwYgzDDKyCG3ZmAQ5oJiehY5pgQrwgdvBvEVmNdjXtuzKDhCjMpHc0cRvllPHXkfgQBAJcFWfUW82ukYyqN20Xyqkg441OSzNvqLIfsJgTLKSG8MAFSShFaD/WIzsBgAAIHpRAW1DuQn5IJi3L71uMWNnxDzrNDYKpY3hCya7Fif0PkHIQAggBhFcMqANQ8ZhFhFcDIhAjgcWdrEQT7NfQirCmf5EEoc3WCq1A/7GINvCbvvHvuFZqGpFfMsYAyEmr46Hnr3tP+P1id0dvddy0zy+hTkRRBqp0/DSGM9VY7VCgBASt7w2VH9gknD4Sdcajx/IvZ//0uobm7d8N6JCHXTrIze9QkdSJJ419J5iSOTg2LnMcpQn9iLnKGS1dpZaWz8XjMiXxEyGrMBeFOS7F2mS4cF4yVd0kJWHeWTB5Q/ubR5c+P/vDJi00PcyKiWn/13ldVavDibAzSs6xP6mUH5CQUxOyttbsEkRVS+IniUo4vhMR3/+Lzy0RXhj98ZvHRK89o/XyqtO7x0HKv2tZ9QaGoqybzF3t1JAUJnzEz5Zp8kEddsBM+z2Efuvv6gRPT/i2ifQ6C+6KEFitLpMzsOH0QACn3ImDMlEBkxrOsTBoSb+gkBgGEwN3R3X3/UrH7k0ltvYgCEcObhg/zECb73E3KxsaM+eK/tiy8QoNinn+I4hRfLY3pFoCMQfNVDCxTJ77zVtOWPFGj4kiXK+PhAH86wcFM/oc9J+OMWSgklRJOTo5vq+bf+ueLLmRM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", "info": { "equation": "8+4*6=32", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", "info": { "equation": "8+4*6=32", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
87b437992f46793d63b4fe1596deab463820f04829542d1bffe58e3fa72da00d
84
147,697,582
train
2025-09-16T02:27:51.026847
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 147697582, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'2', 1:'7', 2:'0', 3:'/', 4:'1', 5:'5', 6:'=', 7:'7', 8:'9']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [7, 0, 8, 4])</answer>", "action": "('move', [7, 0, 8, 4])", "reward": 0, "image": 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", 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", "info": { "equation": "270/15=18", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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23sHlXn29lnl3l8FVUnJy3jzqcHh+atcTvv9+5apVqZ8/C9E2jmU/eeejpL9Xz/5yLzKbAeD8//1f5d13e00oC5Se0Nlc5Go9xDBcU1Pz3kPNP9y4zX+bl2LU9IQEoWmzp0eZTJRlhOLShh++mn3wgGny5ECezKgQdD2h1BspyempkyemKIKEWOZc/sPjNv96zEPrLm9zGD0hEXqneiiKoqoqQhAbGzkuIXWkWR8W8dw5xeHobwVq1hM6Dx0xX3sVig2niqIoau7Mqe0v71EFkTWbAcB19OjAJnkA9YSK2C60HUUIMwze/WnR3Jse9tPg5RllPaEqK6CofOZ4Js4onav+OgZh0PWEfZGiqqriEj1ptltnO4oPjnloGJvD6AmJNGjuGKXAsazZFPjOK8SyXu1kjXpChmXjI5CBpbJCCbVFWLvNpv4meKBEZUNRpS5KFYw5weWMik+bPf+mgJi9JKOvJ6SUCTOzYRYU0K6sUWM09IRee7IMmxiNWocvFB/0hIM3Y8aIDRE+5th3LqE2HLmekCjS6XriEAEhxGKxrE6xX9DyDdXgBWRWJ1EEZ3MhAGYY/MXeg4wx1n+bw0BHXU+IsdJodzd3APgxmSl0jIaecMh26XiVL8rbS+gJrX16wgGiMowREIJZM2dO0JD7y2PJyzMmJvqvJ4xYdpO7rEXtdgKDsZl3fVliy5/LWHulqBHLlzMMM9BLQPSEqrtbFdsRwpSQHpFfcdcGPw0Oy2jqCTmORRghAydV1DLYZp42NSCnMMoEXU844HIxDAMYU0UViiqiVt46rM0LesKT06fL3d0ePeHxrITapdmDRGWysui6/Ol5eebEJYwxKMrOtj/+8dx990EA9IRPnN/xx6Q//8Sx64D9lU+yig8aJ0zoT626//6WV19FgdQT0p66z8WOUpblKyrPFp/oWL/pVf8M+kQA9YSn5s3zFDMDcPDqtJbZqYOK3uVasWJRglOpfeR3E1/cFr1mjbYMf9P1hL07KKKYnTFx8YKZ1ff9lyVz7qQ/b/chc32Ub3piL0ARwMdW46fvvT5UVCbLEiV+icqGJTB6wp6eryIjCwEOAPx5QWaX5ByYKrS27AmonlBxtbWV/Kbt+Mudpa/+euOy8pOH/DToO4HSE1Y9+KBHSnp64UJJEr2KvuDGJV8BHAB4L9F6ulTj2X1b9IQuV+Xrr3wGUATwJYP+/vLTvhi8UBM7mxEftXxGuMHA56V0h1uDISob5nEQKD0hi2pvyc3rFliryTpnMnEJwJv7Ux08bgyonlAW2oBSxKDOzs6w6HHpmXn+WBsRgdITjn3ySSJJFCBh/Xp+yAhe7dy0TEM3jxnXNWlk5P8t5OHboydsGR+Lb5wWYbKoWYnORJ/qjBeCkDEbxjx9Z2R0THNtXVe3v1oPDQRNT+idGkA9IXF3u5oLAWGWYXZ/UhCfPuJWmT8ESk/IxsWlXkLkCQD8uNj4O+7lDSb7kVPatE7fLj0hgtifrtKqJ/SI0wx+i9P84GunJySyk8hOwKyqyLwl/qaVWqdCaSNQesLLoxLiEIkMmh+Lup7w8lxhKoqvG86WAxQQxzIHDpY4JZbVNK/yG8+l9IREcg95tep6Qh2fIargai6SHXUIMwhBxbnWld97bPjDvpXoesLLowehRojb4WwuAsRgjBsamhEXkTB2wvCHfSvx6AkHDQLPTDeOjR04vOb5P9hg6wmvTC48chDjnzD0iuHyesJAIdpPAWIAAGPU1e3ImbMs2B6Dh1hZWbl6NQEY//zz4UuWBNz+FaInDBRowHyPgHAhCMXmZojmAAAoxYaLNIuJ7KJECup/MKsjn6c2FC89IWceNALBG0zEn16fPlR3T6872T0lc2Zk+q3+2xxxHlQSgO4lSmsefbSnpAQBVG/YkHOsBAz84HR/PcCVoScklAak6MWmJg73rh42dLoVZjgijcxLrwnn53vYD/5mnPtvAIA53r5335eSKqukX084eVJKtPG829lqHXu9ISLNz9O4KAhB8th4/++qgXpCJIglO/7XFROGVAqexQJEV0x0uP9eOEu8u7vG8523xvtpTRsJ8TEGsPs5ytK+Y4d91y7PO0osKyv9yWMNN13TryckhBg5hWECEBuh1RMCQJjVHB0d4Wccyo2Nwgu/in72LkIoYjix4vT+f7zlQrRXT0iI0FmXkxY2ohuMBQDicJx98MH0BeNMZhMV3GA0tLzyunz1fnbRtH49YbchJWxsIiWqs6kgaEGIsjInCd31AEAI1RYnHe+/73jrnau+/6yqqhzLyl1d5x5/wPz0WmwyAKGUUoPRkJY/XVEJy2B/yoMPm+BsKgRgKFG48MBru3xhcvqE7vo6SimloO1c3E1NtT/6UX/dHQE0bf2fNlo6cH3CvNxshBnom1ylObeW/Py0/HzNh/tPTEwUNy5BVQkCjZcLAGoe/dEY0RkXH6s6RWTgOz//gu7azd+/9IKecGxCZGSap07noxcWAFSXS7Y3m2++XRVlICQiwjYjOyM2PjnaW09IADFEdkjdVYawwHdCyM5GsacZIawo6pT0lJh4LVoELz1hzvSMTltU6txZTHSYpzuOUup2ywCgqurMvEyjUeMjmeEjwlJu7Kn92Ja8iAvO4PLloUR2nj8NgAmhYWGW6eO1/D+A7+sTUorGjUuMSEkKUPZDgHD+hCIrCDOEktn5U0eukwMAcB4viXjgeqIoAMAwzJxZ0/jDZ8d66QkVBQAMBn7mDJ8KxVPNQNhqZsZEAKEAwHGsNdImKepFVVKUuIni0pL94aCKSFUJMTyl1GTkeU5LFWiIntDWxbOSW2Ykt1efOKXUajVibUUBgDBriJjEh6V63hIhgFLV7fR0bDAMtpg1PU181hNSSo0G1mj4Gg+Equ6e/qq7zaZxViY2GNikaI8ZhFB4dHg3vbieECNktvg0l7D3FlTtXe7SOsRiQEjtEcSyuku0xylmzawxStsJDJMVPgxzVgAKlGA+HDTNmfDWE5bWqx3OS+2LDTEaZy71EbIIBACEWXOsR92HMIcNWgplROsTIs6KuACv2zGasJb4/m5zzZpPIgjisXO9dlTiKqm65FQ+xDBGnwQ6GADY8DBr7mznnuPYzCMGq50OpaIx7Nqc0dQTAgBrimF4G6UqJQprisOayttbT7j3hDk7xRgXzjJ4yJCUzFvHfU114gCAMMtbkylRgBLAPG8bp8HIt2d9QgDgwyZ43oSUKHyYxmZ85M23OHYfREYOAAAhYc+JiBtmeg14MhgDEEDIEDbeF5t9esIzZ07OnRW57kbr4ukt//LCYTPuW59w9PSEAKBKXd01uzBrtSVfizmbNiN1Gze2vvOH5Lc2Oj861PTbv3+xdLIaH+lZnxAAKCFWi+nONUvDE/ONMdMwq118EHKIIrhaDkqdFeETvsOa4rSNjg6vJwzQ+oQhh1LV3V3TU/tPS8I8Y+QUxGiZEkBcwsk5+dxVEXGb7mpd93L5uYajK6YzMEBPqChTsyYtWTTXmLCItyb58se2qL+/q/G5LVVPbEQAltSJGUcOEYPBq+ub5RiWYQP7b7kXgRIA5M9ou+p0nrgqy1VbTQFS/+vXUQ+v8xqSQgj4IA9JjSaUqgj5VSuuXreu4eWXASBq4cKJu/9JCPEqeo5nGYb5Zsyv8v9yde7+uPSGpQDAsFzm8WNMaioMrtQzDOY4Fnz2cuFGjH9kg7u+ThGEuDvv5MMj/MmlX/gd5IzFMuG1V9reeYe1WOIfWodCMSQ1mvh5S8FwesJvGP5froilS8Y99ZRQUxM+Z44l46oAZCkgih4dHR3NfBMqGDo6X2v0INTRCTF6EOrohBg9CHV0QowehDo6IUYPQh2dEKMHoY5OiNGDUEcnxOhBqKMTYvQg1NEJMXoQ6uiEGD0IdXRCjB6EOjohRg9CHZ0Qowehjk6I0YNQRyfE6EGooxNi9CDU0QkxehDq6IQYPQh1dEKMHoQ6OiFGD0IdnRCjB6GOTojRg1BHJ8ToQaijE2L0INTRCTF6EOrohBhfg7Czs/PZZ58tKSkJam4A4I033qiurg6qi4qKis2bN7e1tQXVy1tvvbV161a323sB14Dz7rvvdnV1Bc/+oUOHNm7cuGvXruC5AIDS0tJnnnmmvb09eC7a29u3bNmycePGoN7GXV1dW7Zsefvtt30/xNcgLCgoiI2NLS4uVtVLrEsaCI4fP/7ee++dP38+eC4A4PDhw/Hx8fv27Quei/r6elEUzWbziRMngucFADo6OrZt2xbUUG9oaLj22mtzc3OD50JRlIMHD6akpAS1UKxW6/Lly2NjYyVJCp6XvXv3pqent7e319TU+HiIr0FYU1OzcuVKSZJEUdSaveHJzMy8++67yeDF5QMLISQ7Ozs/P9/hcATPS1xc3KpVqzo7O1k2uKsgHjp0aMKECUFdWktRFJvNFhUVlDXSPQiC0NbWlpOTk5KSEjwvBoMhMzPTarVmZWUFz4vJZBIEoaenB/m8xqavQeh2u81mM6U0qBHCMIzJZAqefQDAGGdlZZWWlk6ePDl4Xnie7+zsPHPmTFJSUvC8iKJot9tzc3N9L28NtLS0vPXWWzt37gyeC0rpqVOn3n777aC+owCgqanJaDSazebguUhKStq5c2dDQ0NsbKyPh/gahCzLSpKEEApqeQPAKKyXaLfba2trc3JygueisbHRZrPddtttZ86cCZ6XysrKXbt2ffjhh0Gt9M6fP//ZZ5+tqqoKXtGoqpqdnb1hw4ZDhw4FyYWHqqqqxMTEoLooKSl56qmnFixYUF9f7+MhvgZhXFxccXExy7JGY3AXeSeEBDsOd+/enZWVFdSKYmtr6549ezo6OoLqJTU19YknnsjKykpISAiel/Ly8vr6epPJFLznL8/z0dHRjY2NVqs1SC48lJeXB7UGBAAmk6m1tdVut2Psa3D5ut+8efP++te/ZmRkBLuRExERYbFYgmefEFJSUvLmm2/u378/eF6ysrKOHDlSUVExbdq04HmxWCwZGRkzZ870veajgeTk5M2bN8+aNSt4LiwWS0xMzLZt26677rrgeVEUxWAwBLWBAADXXHPNu+++KwhCamqqj4foy2Xr6IQYfbBeRyfE6EGooxNi/h/Q4sZZuGbVKwAAAABJRU5ErkJggg==", "info": { "equation": "270/15=18", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
b90f39e9ff6a4c0b3a9894f33868a78b505f3b2f60f4a85502bc27f697c614cc
85
744,595,490
train
2025-09-16T02:27:51.044223
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 744595490, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'1', 1:'1', 2:'/', 3:'1', 4:'8', 5:'=', 6:'7', 7:'9', 8:'8']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [6, 0, 2, 8])</answer>", "action": "('move', [6, 0, 2, 8])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "11*18=198", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", "info": { "equation": "11*18=198", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
2a48a0b089160ef7d2470242a0f08f406397a9fba28dfabc773e838cf8ea5c84
86
3,905,501,389
train
2025-09-16T02:27:51.059917
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 3905501389, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'1', 1:'2', 2:'8', 3:'/', 4:'1', 5:'8', 6:'=', 7:'1']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [2, 1, 7, 0])</answer>", "action": "('move', [2, 1, 7, 0])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "126/18=7", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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btLv/9zWG9HRrUdEA9RMubd34ge/fDMDhMal1143r8hNeQpblW26YMzJrVMyQ77GmZJXrHoLyEzpd1103MydjcP2y/2UTM8Zu3RbeiEVvKBHba/6ueC9ihm1v73j7j58//tLnFqstIoUHj7Z+wkvIbs/EwtxZcyY3PvKGWNOWf/BQj+moUNHYT3hVvFVVxyZNkh0OGFh+QqH1QklcrO+1osWJMZs/eTuwu08WKVFUavkIxk+4Y1bRDoBdAGUMfv+J+yOi68PVvKelfN2Fw691Vr39+q9vKf5kQwQLDwmN/YQet/vAg8u/AtgNsAfgnaXzBqKf8KrUvPjbrwacn9DFM6duyJ/upQSAmZ3TbjT0tbsvGD9hzYxRkxIIQpgvHF6fnhopaUqJ7G4BzCCEXE6XW0QLFi2NVOGhor2f8FT+0OE3TLRwvHHEoAHqJ7wq1aOSBp6fkApS7Oy8tOunEYU2VNdSV98vRg3CT8gPTU5dNhNhVnK76PaGSCl7Ww8JnacR5liW+eTT/9hSr2FUvKdDJdr7CRmzIeW5uwe0n/CqDEw/IQIqysThIYRSOdBwdsQJxk+oEOL0IMxSKRIOxi4k1znfqLWiyBJYfnz/4yi48es+QfcT9g3h+Ql1K5MWiJ21QucZhFmWZUu273JLff7g/S3mCn7Cy+XQ/YTfdYSOGte5S4t1iKJUVl9Y9os/RPeQBjTfPj9h/z2ybw2uszuI0IEQZlnmWOVJW3LGoLRePgOdoPH5CXvEoc9P2GOGmcEYALT0E4ZHNO+EiGE0XrukvaJgryKSGzALABihtnbX9AXhr3Dov2jYv+23fsKwCS0I5YgOn4gtLbLHA74FMZRebpWmIjqASIwxQb2i1NoquVzdigFn4SPrYFREByUyYngAEATP3OsWW4dqZJi4ApH9HYnbLba1ARoBAEABsQFPqhCWhVyV/uknVBQlvDqG4qzHODNjMKW9t/cIB+LxND3wYNoPsn2HjXi+/avS7QQLfsv5KdDCglzGUyV77ZYhsw22bITDn1yistzw4INpC5IowgAK4njn/n2lvNVDvlYklMTFsphhInXCsOYUzBopVQAQwqzBMjgy5apjeMZghonY200bHvvvZNqI+OlUlBDHiKdP7/l8YydDkd+EAcgdJnVLf3vQ3/yEADBkcIpZaQ0jQEIIQpZlxuePFlytvqdrJbjFqZfj7G9+I31VMu53t8mKwiCEDIbzb76t7PqS+8FMfz+hI6Eh1hoHgByN/+atGWqCsHndOte/isf/90uKomAAZDRc+OBD+M8X3LIF/vsTTppYgBBDKQEARfUrWPjYYZg1KUInYASIM8QFt46pjyksyHW0HPFNT6isY3tx8dn1r0788y99HxHPd+7cU/f+P9jVd37tJyTkmrHZRqNJURRAEWhVAOBSUka8/bb6ciJI7uhRHQ0NvpshIST463gIQSi0nxRcrYAwpdRsMs6YpmqzlM5/l9junUstRpAUgmhSkm3yhHHxPN/bT9h1i0eeCxUxadPDV/xPifXWqZAUC7JCKMTFWaZNKbC0OALtT0gAAGM8Z1YE3r9izbzRUb+VKELc8OsBRX84WvG2OduqfZNmhJI5syaGOK31DZy79xjHpbN5w30vWWIYZtbcyVC7LbOXn9D3DkJCyOwZhRwX/XaILEQRnC0VvjFYWVGmTcm3xgbrvAuhLRTR1d29wRhbYlXNdCGOZ9MTEM9SSaEUeJ6PjY8VOj2XdfdRqgidqhRZnh2SgAw8lTwAwHFsXGKcp7njCg7GOHUORh+MId426g4A6Cej5FQRiezG+FJ/WGUdEcOxthjGalY63QCAEIpPjm+5vJ+QUoizmkN9H9kAgCqK6PA9iFJKY2NNTNCv8wvhtGDNyZg1+iY9EWYYY0oYh9oNlUXvwRriFgEBYCTbnd4TjVfyXyHMqetQUVn0HjpDHG5ACBBSHB53RS29kiJiTBFaO4pwP4lAAMBcDGtIgK5XD6qsI1VkofGidK7t0gCpQlz7TvZ49WCPHBFr1f4EwiwXk3qpVSlhjCnBDwiFcGbwlnTMmoEQAAKIMcSNCuNYu0le9kPn5nIqSsBgxLFKa4d4sCb+1qK+8xMm/+hed2klcXiAxYjFpNPjLT2WcPuMKO5PGBUwH8uZUymRAYAqskFdqybcdovS5BRrmrCBB4SAwc7PdifcPqOHn5BlGdw1a6dSsX+CMM9bhxMigW9m0pqJcNCvrQhpUFUR7I6GL4nkjhu+iDEmqLq6U1pzzz0du75Mf/MRxe648Iu3yuN4v/0JLxFhP+HKla3FHw959SGgtOWnrx014ZPX5jHf3OpYy/0JowWRHK6WA8LFY9bh13OWdDXDXQBw/tU/1P32ydQnlxoLRrYsX1d7sWPfrQUc800/oSRPnnTNzKICY+psPjbD16n5lkFkj9Be5Wza4RvJx2ywLyIMffaGEgAakbkXua3tyDV5nnNnAcA6fkLOrlKFBni5IcezDGYi8jhH3O4j+QWummoKEJuVPXr/XsLzARQ5lmGwZvNL0YISJVJrmquuv6G1eBMGYA2msYcP4YxhAWbtWIZjme9Aq8rB3wN9RHIKNQw6t21r+WAjAkhb9TPzuHEaKDp3725+620ASF1xv2XKFA0UvwuI9fUNTz8DQG3f/37i4sXRPpwBRpSDUEdHp78M2enofGfRg1BHJ8roQaijE2X0INTRiTJ6EOroRBk9CHV0oowehDo6UUYPQh2dKKMHoY5OlNGDUEcnyuhBqKMTZfQg1NGJMnoQ6uhEGT0IdXSijB6EOjpRRg9CHZ0oowehjk6U0YNQRyfK6EGooxNl9CDU0YkyehDq6EQZPQh1dKKMHoQ6OlFGD0IdnSijB6GOTpTRg1BHJ8roQaijE2VCC8Lq6uqnnnrqxIkTfXQ0Afnwww9LSko0k/N6va+88srHH3+smWJbW9vzzz+/ceNGjfcF+dvf/lZXV6eNVm1t7RNPPPHyyy+3t7dro0gpffPNNzds2KCNHAAcOHDg6aeffuyxxw4dOhRSxhCCkBDyxRdf5OTkfPnll779xzXg+PHjH330UVVVlTZyAHD48OHY2NjKysqWlhZtFEtLS8eNG3f69GnNQgIAnE7n2rVr7Xa7NnL19fXZ2dk33HCD2RyBHciDYf/+/RzHOZ3OY8eOaaOYmZl52223mc1mUQy03/vlCSEIRVG8ePHikiVL7Ha7IAghHmGYZGVlrVq1imVD2/BNDTab7eabbzYajaE2ZdjMmzdv4sSJ7e3tWlazpKQkNzfXt3uuBrjdbpvNFhcXx/MabQ9aXl4+dOjQwsJCq9WqjWJCQkJeXp7ZbC4oKAgpY2h3QkKI7x+a3QlZlrVYLFo+p2VnZ8uyTAhJTEzURtFisZSXl4uimJycrI1iZ2dna2trUVERQkgbRbvdvnXr1vXr17e1tWmjePHixS1btmzevNloDHbHXPUcOXIkJSUl1AtNCEGIEPJdODHGml1BAUD7HRQ///zzqVOnmkwmbeQOHjx4/fXX5+TkNDQ0aKN44MCBLVu2bNq0qbS0VBvFgoKCZ599Nisr6/jx49oo8jz/0EMPFRYWlpeXa6MIAJWVlaNHjw41VwixxPO8xWLZu3ev2Ww2GAyhKoUNpVSzGy8AnDhxoqmpacKECZoF/549e44fP+5yuRhGo62kx48fv3r16ry8vMzMTG0Ua2pq6urqJEnSrE+YmZlpt9udTqfFYtFGURCEhoaGnJycUDOGEIQMw8ycOfPVV18tKirSsvdiNps1e04DgIqKivLy8meffdbtdmujOHv27DVr1iQlJQ0fPlwbRZvNNmbMmIkTJ2qmOG7cuPXr17tcrlD7S2Ezb9689957r6mpafLkydoodnR0DBo0KC4uLtSM+nbZOjpRRp+s19GJMnoQ6uhEmf8H6Of/lvi/21EAAAAASUVORK5CYII=", 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", "info": { "equation": "126/18=7", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
ad504b875adc7002b1c9cad58e3631c89b027ee785fb95856c2a5c6ec2f6c71f
87
1,679,592,528
train
2025-09-16T02:27:51.077480
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 1679592528, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'7', 1:'0', 2:'*', 3:'1', 4:'9', 5:'=', 6:'3', 7:'4', 8:'2']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [0, 0, 1, 6])</answer>", "action": "('move', [0, 0, 1, 6])", "reward": 0, "image": 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", 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", "info": { "equation": "18*19=342", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "18*19=342", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
e5d02a082a243c44bb9b6b1f4f41ec29286aa3b70b97f7a2bd5bfafc3ba9f4d2
88
1,111,451,555
train
2025-09-16T02:27:51.093169
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 1111451555, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'1', 1:'8', 2:'*', 3:'6', 4:'=', 5:'8', 6:'0']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [1, 6, 3, 1])</answer>", "action": "('move', [1, 6, 3, 1])", "reward": 0, "image": 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", 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vxi7stJ5w7h21H32Ysn+lFKYFjDmO/c+mXcY/fjbh08+Nkyb5yog224+TJrWa0bnR9YQtxwnhHZeWp4gX7ZYHpjdt/B/P6dNdkYQUF66LTHfXn0KIBgCWZQ4ePn6m0nv7Q7fJXhcEryfEhABCYr3deMvIhn99bd/77Q2QhB3RE7YgCILk9gJC2O7WDuxlHNHXtnFz55PQtmlz5O9zcLgeBBEABEEcPXroeepjx+EjLUkYcE71RtcTBkQiXIKVomXTE7YCUYw+doS3qYyIbkAURVFnSium5z0Ybo7qiupC1BNKmImz0DoOsVxXWHWN6YieMACY0GYDYwlDRIZVOxSr4RKsiGOIIAIAwcQcGX5Rx4H/oL1vTrXNGp0bXU/YBsRQrv0/SJI8esIAVklu+9mvsegERDE0/e3+4z8Wn/1izfKzJae6pLqQ9ISIZbwFZYLNRYQbQdfbQT1haxhKOFfnLaslggzLR7Hgde37ATs9vsEOxNKuY6WC3UNEvy8CYxxoldwNrSf0+2FZBlEIEFAmXeNHO/TJ/Q3DhnXehrZgweF1lCPEAABN0wUni++6Y/rIzKSj+7d1RXVB6QlZlrk0VmTUOXccA4GJvF22sUEF6Yie8Aon0BQAUDoNX1ThOVVhfbhdwUfHiX34IduXB4mHB4YGAMqoc2w6yGjNEdOnt5Txzam2DdobW0/YYjQWXe6822+2xlgqH3zDffJc+t4D+rRUGWxoBcGNZRsF+1lANMsyR4//uOnrvU8vvre6uvaNt79c8vLamLiestfZYT0hEe3OKTlj0jKSq/642pZ/tN9bqywzZ8plxvWvJ/QhOpyZmWnjJo6ofWvzxQ92dLt/Yfdnnum8AUQUT+fNtR/7NurJ2Ybs9OpF7zTtPtF/7afhkyf7F5Ps9lNjx7qOHbt0Vkh6wqCTEAC+mz2jRU94oafZ8ObfJ02ZG+xFAkIkaU9Sor+ecMRHG1vrCQFclecOJiebMQAAC7DvptRfbzhk6rSUqS3uuuOOip2I5hBCgii+9Mp7ebflJPdNAEBbt+0uq0GLnlsle6UAcGjKRH89YcSbb41qoyckhOzt31dXfp4GYAGOZVjHf7kzqWdrX4VGU37+qUmTfBUSgN5/+9s11hMCwKk/LGzRE9qjTXUvLp7RSk8IAACHb7kZb92pAUAA5T1N1jVrsrOnB7xgsIhu155u8ZqGRgTAAhzJ7Ja74dse1ta3Xfupk4fS0y/rCacOmv/pAV0wCs+fpZ7QFh5WNmPQRBQmYGxI6WGQSU/YGoIF5wWgaABgGebkDyW9ekSnpiR6vSIATJww4p//2lxXXRFllUVEegUd0RMKmPwwOXVyfaJEQBdtNg+OlRwuWWr/eekJT4zsNUrvZiiaY2l3Tpq8esKC6QOnOLGIiT4+0pQaKTlc0ObdrvUm7S9RT0i8Qti4gXFy6wlb4ao+6LUVIYqlaaqyqmb9Z9vuXvA8oZ2E1CBEUzTTMy7s9WWPPPXiao1O5vzviJ6QiIK2ta9k4OeoJ7S+dHfX6QnjVD1hYLpGT9gK3n7OtxSLYZiKcxUTps0fPGqq6K71Fq8DAEnCU3PHv7PqM5utwSp3EnZQI9chXwVbs6onbEHVEyqLq+aQ4K5GiEYIVVfXbdi0t09KBgDQnIlmw4BgQghFU93joz7913MOu11pe+VD1RNec9QkbI3E2921R13Vh3xLZDQabteewxOm/TZ9SDYAIFpj7DkZ0RoAwvNCbs64kYOiyk58BeTavYGia7na3JeqJ+wS1CRsjeiutZ/L982IUBRVXXOxuLh84tT/binAGuJojZkQDAA8LyQkdO9mdlzTV1B0Je3Nffn0hAwEePfppSJdoCf8hXB9Kes7qODqOgiWXDWHKfbSUCRFoYt1FweNnqkPu0IqZYgd3lj6pe93SSKEuN01h/XWLNnsCNQgvDZcP3pCRNMAV33veBdzzaIxlCQUf6pZEjL8hQu83QEItQyK0voAYx6cRtdlNhDJ29ASZ4LA90kZlJWc16oQxRqBSJcVdESSvDa5LMBOp7euDlDv5ouTgAtKOY7rorewXSd6Qve5CtIz+tKfhCAu8LJYjEkIc90doa2eMGA0spy2k9EYShL2SepBX+V1A6GCnc7SvLyEyXFAUQAYACiKrvz047L05BYdEwAQIF63IzExPmDXpbMgigvryTeVtLxOV2MK0M9BNMfoY0V3rS/yEMWxYUHrqdvj7H33W7mzjH6cbzIAsVz9tq3feD1eQfS/LUuS1KNbpG8GQa6qW1BcT1i9bHnYtk2G6QsJIQghxHLu744esKxtIpK/nhBjHGFi2XbyszO01RNSCJV//GFhSi/wj0ZC3M7GxIRORWMoSTgiK8NR+4Pv7kMIwTKNSZx99FH7nj2jnl+Om2/wmKbLHv8je9sQ3eTB/npCnV47eESm2Dw0J0lYrlshQpTGkupp+IFidFfp51CMngvvxTsrKVoLBAPNaSPkWapStXJF5QerR7/3GEVRBCQAAI3m/Irl7u1faubfdOX+hGjM6EzcPCiPMZb3gWCeNk0pVZRtw4bSZ5YM/cOtJpNecngQQqDR1H/+Rfn6L+glt/nrCSWMh2VmMAzjaxQQQuS6NZ+5/wHP4cMjX7+zpbmBEVX2yJPoriz92AEt0YgJNhrDBmYNFoTL0RhsXUEnIe+ocNaXIIr21deje2wfqzzvmLFt/Mpy5wSIMRFJAgBBEDOHpVfFR8ZGxgXQEzZvWyuK4qRfDTeGyTZTxxniIvre3lS2kWINxoQp7fVztJY0ijPZy7dyxoSwuNFyzVXaNm42jujLDEnyfc2iKPXu1U0zNNVEUPv7E4IgiMMy02O6x8pjhNLY937Lxhj0t46SXF4AwBhbzMZxE0czGw71DqgnlDBc8lV3fTd57oZt9YQjRw6qtnwab02wtIpGTHihORol6aZJI7Xa4FYsBP+OGdGNRRdFawGAEKLhmLAwed72h1iO6xmFtBzxzc9iYoowNeg1Xnw1PSEhJDzcIGPzGNEcG9bNkjYfwdX6ORSj15qTNaYkhGgZu++I1TCWMNpskGwuQEAI0Rv0YeFGvt5+dSeEhWk18k3ZKwtiOVrHMXEW3Oj0+Zbl2IiYiHpCrqInJIRoNazBIM+SnYB6wnot68XS1b8Ic7ieCrSF5tXqCtY4RmNmNBHN02IEMQaKk2d3WCLwrkPFuMnZouDynCgTGhxElK72nCGY1sXJviMKQnRHRhoQJfMAGhG83rJa4VwdMBQAAE3xFXWeM1W+1kH7p2FaE4XoG+Tdp0TgBZvLW1CGWAYAACGpyek8XPSTTkCskeIiZLEhoJ5QtLt/MhoZXbdgx6iCT0JdNKO3YiwAAMEizZm5MHlWMMcufKRp6zGp0UWxlxRczh3fIw8fccvItnpChqF9wY8lXhORjKjra64lZKwPL/CcqvAWVlA6DQBQOo23qII/eTbq7pt+QfsT3j4HBNq5/Rhl1AEAxdJSo8ux5bvo30xpqydkGNq3xAdjgdFGsnp52uQB9ISbDzMMY87NDByNAAAES7zGkhrs20dDkTJJvN3b8IOzar8uapAuKoPWhAd7hcBgXHLPPfW7Nlkfn2XIyaxZssq94/udaTH2rNZ6QgCQsHTHbbnWGIuh+2RGb5Vx8b7inH/hxYq/v2KZOyHi9zc3/N9Xjg93HIzWnb8p/RrvT6gsDZ99XnzfPOOEjJgX5jk3H65/ZX0hAyenDQygJxTEYZnpY0cNZMzp2sh0mjPJYgARxdN5ebYju61L8nx6Qve3P+QPjvMM7gVtopFgctfcqREWc1iPKYwuGtHBjdaGkoTNFYvyP38kqWDI0Kbvj/vmKHo9+1zUk4txO30AjmMpCsneEL0eOH17XvW6tT4nWOfcnrDmfUmSruX+hNcDlc89X/bHZ3xOCB+YkXJwvwgQcIk2zdAsQ8vuBOx2FwzMcJwu9tmQ9OqrlgUPthuNGpZCIUZj6EnYRXiKiipffhkRwlgsPZcvV9ocZZDs9rOPPgqEAEIJK1bQxhuknRks5YsWifX1BKFuixdr+/W79ga4CgrOr3yNAsLFxnZ/4YUuquW6S0IVlV8a6gJuFRWFUZNQRUVh1CRUUVEYNQlVVBRGTUIVFYVRk1BFRWHUJFRRURg1CVVUFEZNQhUVhVGTUEVFYdQkVFFRGDUJVVQURk1CFRWFUZNQRUVh1CRUUVEYNQlVVBRGTUIVFYVRk1BFRWHUJFRRURg1CVVUFEZNQhUVhVGTUEVFYdQkVFFRGDUJVVQURk1CFRWFUZNQRUVh1CRUUVGYUJLQ6XQuX7787bfflt2aoHjnnXc2b96soAE7d+58+umnS0pKlDKgvLz82WefffPNN71e70+X7jIaGxvfeOMNuTaLD5YTJ048+eSTy5YtKyoqUsQAACgoKFi6dOmePXtCOz2UJPzPf/5jsVgcDsc333wTWq2dZ8uWLV999dX333+vlAF2u3337t2jR49es2aNIgYQQrZs2TJ8+PDGxsZ9+/YpYoOP/Pz8N998E8m6Y3HHKSkpSU1NvfXWW+Pi4hQxoKmpacuWLdnZ2Vu3brXZbCFcIZQkPHr06IwZM8aMGXPo0KEQTpeF7Ozshx56yLdFqyLwPH/zzTePGDGioaFBKRvmzJmTkZFRXV2t0Si2R+rFixcLCwvT09OV2t7L6XRGRkYaDAajQhvInT9/vqGhoXfv3iNGjGCYUHbsDCWI3W63Xq/X6XRutzuE02VBp9PpdDoF93WLjIwcOnTohg0bsrOzFTEAIWQymQ4fPlxbW5uUlKSIDQCQn58/duzY+Ph4pZ6ENTU127ZtW7ly5alTpxQxQBCEgoKCtWvXFhYWsiwbwhVCSUKO47xeL8/zHBfctsDyovjOiiUlJYWFhTk5OYrULorigQMHpk2bNmHChOPHjytig81mW79+/aZNm3bs2HHgwAFFbMjOzn722WenTp26detWRQzAGA8cOHDp0qXl5eW1tbUhXCGUp2efPn0OHTpUVVWVkpI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"info": { "equation": "10*8=80", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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ev/Z+/bWEhZ3WE869q+6zT9MPrpIi1IAxx7H/2bxb/9xXE7/coJ882VNGtFh+njzZZ0Xn+tYTWjZ9G333RIg3EEkCAEEQR44YVKnnrPv2X0pCl8u6d6/PU0B2PaE3FBepiclwNpxGiAYAlmUOHz1xrtJ95yN3yN4WdExP2PofhBdETAggJDZY9beMbvzXd9Z9+38FSdgRPWEbgiBITjcghK1O9aBe+lF9LJu2dD4JLZu3xPwpB0dqQRABQBDEMWOGVVGf244ea0vCgGuq17eeELEc1zMWqTniWZ/FRB9lUGtV4K2RQ4hSq/03iMmoJ/StmWK0CaPczaVEdAKiKIo6V1IxY87DkcbYrmiuI3rCAEiYSYymNRxifyt6wgBgQht1THQEIjLs2qFYFWc2IY4hgggABBNjTORFDQfeE9GeNVW/PTrXsZ6QCLzjSBFutnuGl4ilXSdLBYuDCF6RR0i7Qi859IT+YMlpLfsOi3ZAFEPT+w+e+Lmo7OuPV5YVn+6S5jqmJ/QBsYy7wM9X1y0d1BP6wlDC+Xp3aR0RZNg+igW348BP2O5qi0ZHfolgdRHR6w+BMQ60S+461hMmLHyseVu+1OSgWBoAKL3GvjMfBCbmzkvzXZROF3fffT5PQrn0hAHBgs1tK0eIAQCapgtOFd1z14zRWanHD27viuY6pCds/WFZpmWuKJCvrl86oie8zAk0BQCURsWfqXCdrjA92q7go+MkPPqI5ZvDxMUD0xKNts2HGbUxasaMtjKeNVV/2eF1rye07N0Wt/AWXU5W3dLVlrzjfd9dHX377ZeVcjh+mjzZduBA2xW59IQBILipdJNgLQNEsyxz/MTPm7/b98yS+2tq6t5675ulr6yNT+wpe5u/qCdsM0602qfmjB2QmVb93JqAvuoM176e0INos2dlDRg/aVTdu1sufrKz24MLuz/7bOcNIKJ4ds5ca/7+2Kdm6bIzaha/37znZL+1X0ZOmeJdTLJaT48b58jPb7krJD1h0EkIAD/MurVNT3ihp1H3zj8mT50bbCUBIZK0x9ydraxGACxAfqZpwje7Unum+xSzl507lJpySU84ud893xw2dFrK5I+z/oStYheiOYSQIIovv/rhnDty0vqYAdC27XtKa9Hi51fL3igAHJk6yVtPGPXOuzf46AkBCCH7+vXRlFfRV/RVaDTn5Z2ePNnTIAFI+fvfr7KeEABO/3lhm57QGmeof2nJrT56QgAAOHrLzXjbLhUAAijvaTB9/HF29oyAFQaL6HTs7ZakamzyROOxrG65G/f3MPk+dq2nTx3JyLikJ5w2eP6XhzQoiDHhNacnzM/NmNqQIhHQxBmNQxKkQBq5Zp2qK/SEvhAs2C8ARQMAyzCnfiru1SOuf3qy2y0CwKSJo97+15b6mopYkywi0svokJ4Qk5+m9J/SkHxlX4XA9aUnPDm61w1aJ0PRHEs7cwbIqycsmDFoqh2LmGiTYgz9YySbA0y+xRoM6l+9njAQXaMn9MFRc9htOYMolqapyura9V9tv3fBC4S2E1KLEE3RTM/EiDdXPPb0S2tUGpnzv0N6QlFQK3pCANYYYXr53q7TEyYqesLAdI2e0Afeet6zFYthmIrzFROnzx9ywzTRWecuWgcAkoSn5U54f/VXFkujSe4kVPSErcYoesLfMI7aI4KzBiEaIVRTU79x877e6ZkAQHMGmo0AggkhFE11T4r98l/P26zWcNsrH4qe8KqjJKEvEm911h131BzxbJFRqbjde49OnP6HjKHZAIBolb7nFESrAAjPC7k540cPji09+S2QsAi6uoArrX0pesIuQUlCX0RnnfV8nmdHLkVRNbUXi4rKJ037XVsBVpdIq4yEYADgecFs7t7NaJO5Ux4+2lv78ugJGfBdq2Ra5IVdoif8jXBtKes7qODqOgiWHLVHKbZlKpKi0MX6i4PH3K6NuEwqpUsY2VTyjeffkkQIcTprj2pNI2SzI1CH8Opw7egJEU0DXGmfUFdz1aIxlCQUf6lbEjL+ekJaG2DOg1NpuswGIrkb2+JMEPje6YNHpM3xKUSxeiDSJQUdkSS3RS4LsN3urq8HlNJaOQm4oZTjuICzpp3nGtETOs9XkJ5xLb8S0t4xGxiTENa6O4K/njBgNLKcupPRGEoS9k7tQV/h6wZCxV9PSFF05Zefl2akEf7SBAAB4nbakpOTAg5dOguiuIiefHMxtC62qgwBxjmI5hhtguis80Qeojg2Img9dXuUPfCgiStjtOM9iwGI5Rq2b/ve7XILlx0DI0lSj24xnhUEuZpuI+x6wpoVKyO2b9bNWEgIQQghlnP+cPxQ9NpmInnrCTHGUQaW7YJjcPz1hBRC5Z9/WpjeC7yjkRCnvSnZ3KloDCUJR43ItNX95Hn6EEKwTHMSZY8/bt2794YXVuLWBzym6dInnmPvGKqZMqQtDwkhGq16yKgssXVqTpKwXI9ChChVdH9X408Uo7nCOIditFxkL95eSdFqIBhoTh0lz1aV6lWvV36yZsyHiyiKIiABAKhUVa+vdO74RjX/Jm89ISA0dkwWbp2UxxjL+0IwTp8eLlWUZePGkmeXDvvzbQaDVrK5EEKgUjVs+Lp8/df00ju89YQSxsOzMhmG8XQKCCFyPZrPPfiQ6+jR0W/e3dbdwIgqfewpdM8I7biBbdGICdbrIwaNGCIIl6Ix2LaCTkLeVmFvKEYU7WmvR/eE3iZ5vmPGX0+YNTyjOikmISax5XzCVgghfOuxtaIoTr5xpD5CtpU6TpcY1efO5tJNFKvTm6e2N85RRw+gOIO1fBunN0ckjpFrrdKyaYt+VB9maKrnzyyKUkqvbqph/Q0EBdQTehJPEMThWRnx3RPkMSLcWPftZ+N12ttukBxuAMAYRxv14yeNYTYeSQmoJ5QwtPiqu7abPE9Dfz3h6NGDa6K/TDKZo32iERNeaI1GSbpp8mi1OrgdC8F/x4zoxKKDotUAQAhRcUxEhDzf9uevJzREGRq1KnfriXAB7yKEREbqZOweI5pjI7pFD5iP4ErjHIrRqo1pKkMqQrSMw3fEqpjoCNqokywOQEAI0eq0EZF6vsF6ZSdERKhV8i3ZhxfEcrSGYxKjcVOLro3l2Kj4qAZCrqAnJISoVaxOJ8+WnYB6wgY168bSlf8QxkgtFegIzSu1FaxxjMrIqKJal8UIYnQUJ88xJIH1hI02IkpXes8QTGsSIZj9sh0BIbojMw2IknkCjQhud2mdcL4eGAoAgKb4inrXuWpP76D92zCtikX0r+S7T4nACxaHu6AUsQwAAEJSs91+9MwvOgGxeoqLksWGgHpC0er8xWhkNN2CnaMKPgk1cYzWhLEAAASLNGfkIuTZwRxIT/gjcvFRt4xuORHu8h9P8GOJV0WlIeraWmsJGdOjC1ynK9yFFZRGBQCURuU+U8GfKou99yZ/PSHD0J6vfsOY5yJ6UlyXfOXc1Sfmztkg0PYd+ZReAwAUS0tNDtvWH+J+P9VfT8gwtGeLD8YCo45htfL0yQPoCbccZRjGmJsVOBoBAAiWeFV0/2C/fTQUKZPEW92NP9mrD2piB2tiM2lVZLA1BAbj4vvua9i92fTETF1OVu3S1c6dP+4aEG8d0XY+oZcNWLrrjlxTfLSu+xRGa5Jx837YqXrxpYp/vBo9d2LUn25u/N9vbZ/uPBynqbopw09PCKIg5k4d0z/NzJnGqPTJlKzLdOGl8asNRQ/M00/MjH9xnn3L0YZX1xcycGr6oAB6QkEcnpUx7oZBjDFDHZNBcwZZDCCieHbOHMuxPaalczx6Quf+n/KGJLqG9AK/aCSY3DN3WlS0MaLHVEYTh+jgZmtDScLWhkX53z+SVDB0WPOPJzxrFL2WPx/71BLczhiA41iKQrJ3RK8Fzt45p2bdWo8TTLPvNH/8kSRJAVciWJahaepX6YTK518ofe5ZjxMiB2WmHz4oAgTcok0zNMvQsjsBO50FgzJtZ4s8NqS+9lr0gofbjUYVS6EQozH0JOwiXGfOVL7yCiKEiY7uuXJluM0JD5LVWvb440AIIGR+/XVa/yvpZwZL+eLFYkMDQajbkiXqvn2vvgGOgoKqVW9QQLiEhO4vvthFrVxzSaig8FtD2cCtoBBmlCRUUAgzShIqKIQZJQkVFMKMkoQKCmFGSUIFhTCjJKGCQphRklBBIcwoSaigEGaUJFRQCDNKEioohBklCRUUwoyShAoKYUZJQgWFMKMkoYJCmFGSUEEhzChJqKAQZpQkVFAIM0oSKiiEGSUJFRTCjJKECgphRklCBYUwoyShgkKYUZJQQSHMKEmooBBmlCRUUAgzShIqKISZUJLQbrevXLnyvffek92aoHj//fe3bNkSRgN27dr1zDPPFBcXh8uA8vLy5cuXv/POO263+5dLdxlNTU1vvfWWXIfFB8vJkyefeuqpFStWnDlzJiwGAEBBQcGyZcv27t0b2u2hJOF//vOf6Ohom832/fffh9Zq59m6deu33377448/hssAq9W6Z8+eMWPGfPzxx2ExgBCydevWkSNHNjU1HThwICw2eMjLy3vnnXeQrCcWd5zi4uL+/fvfdtttiYmJYTGgubl569at2dnZ27Zts1gsIdQQShIeP3781ltvHTt27JEjR0K4XRays7MfeeQRzxGtYYHn+ZtvvnnUqFGNjY3hsmH27NmZmZk1NTUqVdjOSL148WJhYWFGRka4jvey2+0xMTE6nU4fpgPkqqqqGhsbU1JSRo0axTChnNgZShA7nU6tVqvRaJxOZwi3y4JGo9FoNGE81y0mJmbYsGEbN27Mzs4OiwEIIYPBcPTo0bq6utTU1LDYAAB5eXnjxo1LSkoK15uwtrZ2+/btq1atOn36dFgMEAShoKBg7dq1hYWFLMuGUEMoSchxnNvt5nme44I7Flhewn6yYnFxcWFhYU5OTlhaF0Xx0KFD06dPnzhx4okTJ8Jig8ViWb9+/ebNm3fu3Hno0KGw2JCdnb18+fJp06Zt27Y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ev/Z+/bWEhZ3WE869q+6zT9MPrpIi1IAxx7H/2bxb/9xXE7/coJ882VNGtFh+njzZZ0Xn+tYTWjZ9G333RIg3EEkCAEEQR44YVKnnrPv2X0pCl8u6d6/PU0B2PaE3FBepiclwNpxGiAYAlmUOHz1xrtJ95yN3yN4WdExP2PofhBdETAggJDZY9beMbvzXd9Z9+38FSdgRPWEbgiBITjcghK1O9aBe+lF9LJu2dD4JLZu3xPwpB0dqQRABQBDEMWOGVVGf244ea0vCgGuq17eeELEc1zMWqTniWZ/FRB9lUGtV4K2RQ4hSq/03iMmoJ/StmWK0CaPczaVEdAKiKIo6V1IxY87DkcbYrmiuI3rCAEiYSYymNRxifyt6wgBgQht1THQEIjLs2qFYFWc2IY4hgggABBNjTORFDQfeE9GeNVW/PTrXsZ6QCLzjSBFutnuGl4ilXSdLBYuDCF6RR0i7Qi859IT+YMlpLfsOi3ZAFEPT+w+e+Lmo7OuPV5YVn+6S5jqmJ/QBsYy7wM9X1y0d1BP6wlDC+Xp3aR0RZNg+igW348BP2O5qi0ZHfolgdRHR6w+BMQ60S+461hMmLHyseVu+1OSgWBoAKL3GvjMfBCbmzkvzXZROF3fffT5PQrn0hAHBgs1tK0eIAQCapgtOFd1z14zRWanHD27viuY6pCds/WFZpmWuKJCvrl86oie8zAk0BQCURsWfqXCdrjA92q7go+MkPPqI5ZvDxMUD0xKNts2HGbUxasaMtjKeNVV/2eF1rye07N0Wt/AWXU5W3dLVlrzjfd9dHX377ZeVcjh+mjzZduBA2xW59IQBILipdJNgLQNEsyxz/MTPm7/b98yS+2tq6t5675ulr6yNT+wpe5u/qCdsM0602qfmjB2QmVb93JqAvuoM176e0INos2dlDRg/aVTdu1sufrKz24MLuz/7bOcNIKJ4ds5ca/7+2Kdm6bIzaha/37znZL+1X0ZOmeJdTLJaT48b58jPb7krJD1h0EkIAD/MurVNT3ihp1H3zj8mT50bbCUBIZK0x9ydraxGACxAfqZpwje7Unum+xSzl507lJpySU84ud893xw2dFrK5I+z/oStYheiOYSQIIovv/rhnDty0vqYAdC27XtKa9Hi51fL3igAHJk6yVtPGPXOuzf46AkBCCH7+vXRlFfRV/RVaDTn5Z2ePNnTIAFI+fvfr7KeEABO/3lhm57QGmeof2nJrT56QgAAOHrLzXjbLhUAAijvaTB9/HF29oyAFQaL6HTs7ZakamzyROOxrG65G/f3MPk+dq2nTx3JyLikJ5w2eP6XhzQoiDHhNacnzM/NmNqQIhHQxBmNQxKkQBq5Zp2qK/SEvhAs2C8ARQMAyzCnfiru1SOuf3qy2y0CwKSJo97+15b6mopYkywi0svokJ4Qk5+m9J/SkHxlX4XA9aUnPDm61w1aJ0PRHEs7cwbIqycsmDFoqh2LmGiTYgz9YySbA0y+xRoM6l+9njAQXaMn9MFRc9htOYMolqapyura9V9tv3fBC4S2E1KLEE3RTM/EiDdXPPb0S2tUGpnzv0N6QlFQK3pCANYYYXr53q7TEyYqesLAdI2e0Afeet6zFYthmIrzFROnzx9ywzTRWecuWgcAkoSn5U54f/VXFkujSe4kVPSErcYoesLfMI7aI4KzBiEaIVRTU79x877e6ZkAQHMGmo0AggkhFE11T4r98l/P26zWcNsrH4qe8KqjJKEvEm911h131BzxbJFRqbjde49OnP6HjKHZAIBolb7nFESrAAjPC7k540cPji09+S2QsAi6uoArrX0pesIuQUlCX0RnnfV8nmdHLkVRNbUXi4rKJ037XVsBVpdIq4yEYADgecFs7t7NaJO5Ux4+2lv78ugJGfBdq2Ra5IVdoif8jXBtKes7qODqOgiWHLVHKbZlKpKi0MX6i4PH3K6NuEwqpUsY2VTyjeffkkQIcTprj2pNI2SzI1CH8Opw7egJEU0DXGmfUFdz1aIxlCQUf6lbEjL+ekJaG2DOg1NpuswGIrkb2+JMEPje6YNHpM3xKUSxeiDSJQUdkSS3RS4LsN3urq8HlNJaOQm4oZTjuICzpp3nGtETOs9XkJ5xLb8S0t4xGxiTENa6O4K/njBgNLKcupPRGEoS9k7tQV/h6wZCxV9PSFF05Zefl2akEf7SBAAB4nbakpOTAg5dOguiuIiefHMxtC62qgwBxjmI5hhtguis80Qeojg2Img9dXuUPfCgiStjtOM9iwGI5Rq2b/ve7XILlx0DI0lSj24xnhUEuZpuI+x6wpoVKyO2b9bNWEgIQQghlnP+cPxQ9NpmInnrCTHGUQaW7YJjcPz1hBRC5Z9/WpjeC7yjkRCnvSnZ3KloDCUJR43ItNX95Hn6EEKwTHMSZY8/bt2794YXVuLWBzym6dInnmPvGKqZMqQtDwkhGq16yKgssXVqTpKwXI9ChChVdH9X408Uo7nCOIditFxkL95eSdFqIBhoTh0lz1aV6lWvV36yZsyHiyiKIiABAKhUVa+vdO74RjX/Jm89ISA0dkwWbp2UxxjL+0IwTp8eLlWUZePGkmeXDvvzbQaDVrK5EEKgUjVs+Lp8/df00ju89YQSxsOzMhmG8XQKCCFyPZrPPfiQ6+jR0W/e3dbdwIgqfewpdM8I7biBbdGICdbrIwaNGCIIl6Ix2LaCTkLeVmFvKEYU7WmvR/eE3iZ5vmPGX0+YNTyjOikmISax5XzCVgghfOuxtaIoTr5xpD5CtpU6TpcY1efO5tJNFKvTm6e2N85RRw+gOIO1fBunN0ckjpFrrdKyaYt+VB9maKrnzyyKUkqvbqph/Q0EBdQTehJPEMThWRnx3RPkMSLcWPftZ+N12ttukBxuAMAYRxv14yeNYTYeSQmoJ5QwtPiqu7abPE9Dfz3h6NGDa6K/TDKZo32iERNeaI1GSbpp8mi1OrgdC8F/x4zoxKKDotUAQAhRcUxEhDzf9uevJzREGRq1KnfriXAB7yKEREbqZOweI5pjI7pFD5iP4ErjHIrRqo1pKkMqQrSMw3fEqpjoCNqokywOQEAI0eq0EZF6vsF6ZSdERKhV8i3ZhxfEcrSGYxKjcVOLro3l2Kj4qAZCrqAnJISoVaxOJ8+WnYB6wgY168bSlf8QxkgtFegIzSu1FaxxjMrIqKJal8UIYnQUJ88xJIH1hI02IkpXes8QTGsSIZj9sh0BIbojMw2IknkCjQhud2mdcL4eGAoAgKb4inrXuWpP76D92zCtikX0r+S7T4nACxaHu6AUsQwAAEJSs91+9MwvOgGxeoqLksWGgHpC0er8xWhkNN2CnaMKPgk1cYzWhLEAAASLNGfkIuTZwRxIT/gjcvFRt4xuORHu8h9P8GOJV0WlIeraWmsJGdOjC1ynK9yFFZRGBQCURuU+U8GfKou99yZ/PSHD0J6vfsOY5yJ6UlyXfOXc1Sfmztkg0PYd+ZReAwAUS0tNDtvWH+J+P9VfT8gwtGeLD8YCo45htfL0yQPoCbccZRjGmJsVOBoBAAiWeFV0/2C/fTQUKZPEW92NP9mrD2piB2tiM2lVZLA1BAbj4vvua9i92fTETF1OVu3S1c6dP+4aEG8d0XY+oZcNWLrrjlxTfLSu+xRGa5Jx837YqXrxpYp/vBo9d2LUn25u/N9vbZ/uPBynqbopw09PCKIg5k4d0z/NzJnGqPTJlKzLdOGl8asNRQ/M00/MjH9xnn3L0YZX1xcycGr6oAB6QkEcnpUx7oZBjDFDHZNBcwZZDCCieHbOHMuxPaalczx6Quf+n/KGJLqG9AK/aCSY3DN3WlS0MaLHVEYTh+jgZmtDScLWhkX53z+SVDB0WPOPJzxrFL2WPx/71BLczhiA41iKQrJ3RK8Fzt45p2bdWo8TTLPvNH/8kSRJAVciWJahaepX6YTK518ofe5ZjxMiB2WmHz4oAgTcok0zNMvQsjsBO50FgzJtZ4s8NqS+9lr0gofbjUYVS6EQozH0JOwiXGfOVL7yCiKEiY7uuXJluM0JD5LVWvb440AIIGR+/XVa/yvpZwZL+eLFYkMDQajbkiXqvn2vvgGOgoKqVW9QQLiEhO4vvthFrVxzSaig8FtD2cCtoBBmlCRUUAgzShIqKIQZJQkVFMKMkoQKCmFGSUIFhTCjJKGCQphRklBBIcwoSaigEGaUJFRQCDNKEioohBklCRUUwoyShAoKYUZJQgWFMKMkoYJCmFGSUEEhzChJqKAQZpQkVFAIM0oSKiiEGSUJFRTCjJKECgphRklCBYUwoyShgkKYUZJQQSHMKEmooBBmlCRUUAgzShIqKISZUJLQbrevXLnyvffek92aoHj//fe3bNkSRgN27dr1zDPPFBcXh8uA8vLy5cuXv/POO263+5dLdxlNTU1vvfWWXIfFB8vJkyefeuqpFStWnDlzJiwGAEBBQcGyZcv27t0b2u2hJOF//vOf6Ohom832/fffh9Zq59m6deu33377448/hssAq9W6Z8+eMWPGfPzxx2ExgBCydevWkSNHNjU1HThwICw2eMjLy3vnnXeQrCcWd5zi4uL+/fvfdtttiYmJYTGgubl569at2dnZ27Zts1gsIdQQShIeP3781ltvHTt27JEjR0K4XRays7MfeeQRzxGtYYHn+ZtvvnnUqFGNjY3hsmH27NmZmZk1NTUqVdjOSL148WJhYWFGRka4jvey2+0xMTE6nU4fpgPkqqqqGhsbU1JSRo0axTChnNgZShA7nU6tVqvRaJxOZwi3y4JGo9FoNGE81y0mJmbYsGEbN27Mzs4OiwEIIYPBcPTo0bq6utTU1LDYAAB5eXnjxo1LSkoK15uwtrZ2+/btq1atOn36dFgMEAShoKBg7dq1hYWFLMuGUEMoSchxnNvt5nme44I7Flhewn6yYnFxcWFhYU5OTlhaF0Xx0KFD06dPnzhx4okTJ8Jig8ViWb9+/ebNm3fu3Hno0KGw2JCdnb18+fJp06Zt27YtLAZgjAcNGrRs2bLy8vK6uroQagjl7dm7d+8jR45UV1enp6eHcLtcEEIkKfDZxVcBURQ//PDD3NzccD2JPGNCk8lksVjMZnNYbNBqtS+99JLD4Th9+nRycnJYbDh58qRGo7FarUajMSwGGI3G+Pj42tpajuNCC4ZQ3oSzZs3asGFDUVFRbm5uCLfLhU6nS0hICFfrxcXFJ0+eXL169erVq8NiAMuyEyZMWLZsGQCMHTs2LDZwHJeamjpw4MDhw4fHx8eHxYasrKxXXnnl2LFjM2fODIsBZrM5MTFx8eLFo0aNCs0JynHZCgphRlmsV1AIM0oSKiiEmf8DIUXIE5DQRVAAAAAASUVORK5CYII=", "info": { "equation": "10*8=80", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
a600cc744e60dfc4f27956122b9c15e3ce17aa400995df8a1bbf9e633fc866d0
89
782,698,033
train
2025-09-16T02:27:51.110638
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 782698033, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'1', 1:'0', 2:'*', 3:'7', 4:'9', 5:'=', 6:'1', 7:'3', 8:'0']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [3, 0, 7, 5])</answer>", "action": "('move', [3, 0, 7, 5])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "10*19=190", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "10*19=190", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
1193644787dabbf07245f812d7365e4daec77933331326859d1f5ade5ed0f0cb
90
2,845,511,527
train
2025-09-16T02:27:51.127021
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 2845511527, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'6', 1:'9', 2:'+', 3:'2', 4:'7', 5:'=', 6:'8', 7:'5']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [0, 4, 1, 4])</answer>", "action": "('move', [0, 4, 1, 4])", "reward": 0, "image": 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", 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", "info": { "equation": "58+27=85", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", "info": { "equation": "58+27=85", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
de17b14530d9cc164f323bfd5a2654fe9ff9b69ec809092cb41f12d39bd5b9b2
91
3,244,252,547
train
2025-09-16T02:27:51.143430
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 3244252547, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'8', 1:'+', 2:'7', 3:'*', 4:'9', 5:'=', 6:'6', 7:'3']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [0, 1, 7, 5])</answer>", "action": "('move', [0, 1, 7, 5])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "6+7*9=69", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "6+7*9=69", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
9c81b395ec1949932486faaa46be18dfed95dc22c5a60c9b9951f37eefb782bf
92
1,338,788,865
train
2025-09-16T02:27:51.160331
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 1338788865, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'1', 1:'2', 2:'/', 3:'1', 4:'9', 5:'=', 6:'1', 7:'5', 8:'6']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [4, 5, 2, 8])</answer>", "action": "('move', [4, 5, 2, 8])", "reward": 0, "image": 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", 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", 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7x6JlSRI//9eoZ+62Lp1e/eTbZU/894gdn/U5IeTKiCeUMAAQIBMnjDabTDRDHz56Knni/cnDMwJy0R2CRdeZd4jkA4QQQoIgbNm2++G/vG/o9wBrL2geT+gPXSN4WGZaUly0JIrE7Tt/1WPDP/hQxSTVoDNo8YT2SOe4cZm41UuH2UoXPm1JmZzy/ruB5rbPeML41OQRwxIl3ocY+vzERxLWPh/18EO927wi4gnb56ELgogJIZKclpoYEe0MyH6PIMQYHWmemmMIMSzLfPf9vthhV7EaTFXriObxhJ62cQJJkiXeBwgoq8kyM8t9+NgvUYSDGk/o9gIC7OZDbr+2+c39KnKrKJ7Q4/Wn2eZPbj14OKqv/ocrIp6wSzAIIcRkNBgGpOsJIVP4KN51GmSRENzKkzlL7hjAGm/PPjWPJ+w8AYAA4hgmxoFoLXtiNSMo8YRMXLi6WfvK4wkRQzOx4aimb6VcKfGEnRMwZQgBeiAaJ0RurcohkpdhmdOni0/knfhs68uy1tMpBiGesCMI4Vav71Qpwdqel0YEIZ4QIe/xc5jnA3VxWS89QQTJl1esRCnBjCe0tMcTdhqSAoIlxhRJsZZAXXSHEFlsLUeIpiiqpLxq6ZIbwVspaDNpux3N4wkvXSuWZSiaAprCLR7h9EXHvDn9zHlQGMx4QoahAQBxrPvLI45b5qvIbZ/xhCzL0DQNFEUkmT9QGLawby+DHU9YtGgRXOqrzJmV1jwqAXUYkiKYLF08c0jyGHPMVIoNrEnQI3z9idaKPTTNtLR43nn/3w8+cOuXX+VEpt44a57aQQMFaB9PeGkHnp88MWtyxogLv10ftuCOoc//p8cTnr3tttoPPqAAEECLlcu5bQLqGE8oSc4Qy22/valmzbvCmaasg4coU8AhU33HE3q9WenDZk2fcOHef1gyrh7+3vt9G1X4acRTD/7hR4ADAJ87TPv3fKr8m4pdODJzxl6AgwDbkhwnTh/iPZ4uf7IkEIL7NqQALAt1p/5Zm/tK85k33n/pro9fva+54M1ze9c/s2KuIPgGxMXlqP3um90A+wH20ejDVfert/Ovf+0FyAE46nTyFRU83+lanfzr6u8BDgB8baC//fh1lT4wPjN3bg7APoDjaWnE28OVkXzNkk/lx2aVIPF8TlzMPoBDAO9NS3O5G9XZ8ZWVHbbbcwByAOq3fcx7+Y6Xq/ro4a8vfS/0vQduUX2TVX6y3V+4e1n6o2eXd/FS9OZr3wIcANhNo39v+qsSg4MdT1g4JWWU3cdStHtaCotoY+CPIuXIvkaCBYQoUZKbGhtvnD1VEMSIcEdSorP8QlFSv8c/emFw4gkr0mNsc8aFGI3GsQn1NpVX8tcUT2gYMiRp06aG7783RkeHLVzUJbUqwt4yf2wCZaLiHBVj0wlROUOu93jC6qFO6sbRoSaLnBnrjlU0y2/w4wmjo++ezLJc7eE8Iqr5jpNCCJZaK38ksshy3L79x2RDQlhslq/pLCZUXHTox/+7YcXTbzKMZjMMBy2e8K96PGEnwu+8M/zOntsaxCs67ro+ZnyWJPjg+wLo8nk/xfQeT4gQOJ9cHJOQ0OSqJ2cUFcpgxxMSGeNWHrNYXcxuIJ6w5HUhRCEEzW5x0d2rbFEOX0uJJEnZWWkXyg/wPG+zaTjNV48nDICBiifs04tXwK08ltQ8sDrSezwhdvuLXgSkSF+/gJAIdXhqjhCJpxm6rKyy4OxFR3g4UAaKMQEhiKIsHNnz+b/URg7/itDjCa8Afo0iJNjbkO+tP4kQTdP0ydPFNyx6mOOMgBhL9NUASBTFWddPCeMq+ebKYOc1yOjxhFcCv0IREsDuyr0Ei4ii3G5PxcWGUWPbZgOztnhEswAgilJaSgwl1QU1p8HnCoon/A9m0Cc6qfqyfUD4GoqILACiEAKP2500chp3qQ+WolguNIWvO4koBmPwNRYYwzO1nsXWH3qPJ+w/V0g84QBSvnp1/aefGuPjR+zYoVHQNqLpgW22KhWhLMsq+5I6QARBcLkAtcWPMD2NT8i+RkQx6pat8oMlNyESQgYs4xBHxPyrf4eoS9ODEYUoDqCtkeP/nKZqR73lAeMBiY3sPZ4QUTTpdzfGlRBPSIj/Busvnp9+qnjmGYxxa25uyEsvRa9Y0TGVNRjxQHQDeKuqWKpt9bDuczAomsW+wLwoFWFcXBRN1wdkujsXX/6fkJJCihsDMqEQVbzzkwupJ6F9OQogY7PTqNY8oDhr3HTWGqfOC2OMQJS/AxezJifq3ENFm8IvLRlHGHNU/58sPRLmsDON1n7qsPd4QhljvrHEHGnt/3Mk6PGELEvHxUZijOl+fPmOiOKFZcsIxv4ZM1XPPluZHNUxnpB3NyZGOPqpQ7Gykn/hufB1d2JMEM16C0/nfLbFg9q+bStjzDeWZafYA3o4KhVhRnpKy8UmAoSQHhvzfeMtKip75m/ZL9zj/0kYunTlU/blNzLJ0W3xhIQ0O0pDQkJlXzNfn6dahKwtnqI5LPEES6x1CFCdztFgS0SIJkTGWDRYEzSqi8bFRps9Ef7yVlfqRJIuLFsmNze3rxrQ8O13lcbqn+MJMU4ZNtRqtWKMCVHpxQ8TGZl8mY/BDg4cx41MTxY8jTRNY4zVvd5rXn+9ae/en8Mv6+vLHr6/Uzyh3ZYQny37V1lVe7lKVjwe5XVHRjtltxdxhsbvvic7dxn+cMPP8YRDYhyOFP+LXaEXRSLEktvtKkIUhTF2Oh0JMWoW0xCKS+hwAzs2hQiSDJCUNMQQF5OYkWGeltklnhDRrOiuxL4milMzbQIhyp40r+n8DmN4pjF8ZJdUijLYk25qLv63JXoyF6pmgqIS3LV5mBCEACF01cRRakwojCeUZACw2y1jhqZdxtAvAG/jWcHTCIiSZHn0qBGhIWqmDStfnxATPHniKHW9E+683NA/zsSSBAA0TV81abTh6LkhXdcnlACA4wwTxisqFGVvQiJjyY0AEQIsw5hNqkbrEcXYLbTdjN0+gsBkMRksRp8o0d3iCQEQljz9CMxBjCkybOT/63nJAUSxltiwjN/3Z0GCPum4/J1N7YQypfGEADRNWcxBqEYOFFhyEywh2kAIsZg5dZXSgOIJVRcKxXFMXLjfIEIoJDykmfQcT0ghZLYo+oCDoqcBogyMMRwIASAUbaS40MAy3gYWLjaIlfXAUEBTQnmdWN3Yc3OGYIZzIKZfX6DoXWOaKhA6LX+HaKPKTwQojScEQBRLcWHqvFwJMMZwxHAABAimuLCfO9ICIaD1CVUXCuZ57/Hzbf2uMvbkFl9mWBUA0bRR0ffElImQNrLmGIIlIJhizKw5RmmWO2AalUUbQn1nShHHIo715ZfRLG3JGqppPGGwMNiTL73Jsbql8JTEEzIMTVEIMAbKYLAlDEjOgwJrHULRRiCYYIm1xl7qVwuMwVmf0HHzLa27DiMjCwCAEL/nROhvJgzG+oQAgEW3u3Kv6KkOSbqJNqocsXVt337ukd/HvfRHIuHqx9/4ISOyKVvbeMJgQbDoayxqLf/eljDLYE9GlJrx2L7jCUXpqklZU6dMMsXNYkyRmn7LWGOIxNc3Fe8w2BMt0VdRjFmdlT7iCQdkfUIPf/KqiezI0MhVd9Y8tKngfMVPC8bQ0K/1CZWKEAD8tQXlq671SOEt82t3fAoAkYsWJ255F0tdu48MBoaiGY1GDgYZgmV1Nat26t59178+odHpHHn8eMf1Cf0wDM0wjJKSvvIhRO5nM0EoL8/LyBCamwEgbdvH5rlzu6wc2P/1CQGgcddX+b+5AQBohs3IO04nJw/S+oQAAID6qUAASHjxBToiAgHEPbXKwHKg7dfKg0w/FQh9xRP+yuh/Q733eMKBIvSG2Qlr1vAlJSFXXWVJ79r9roKA3oQ6OjoDz6+hGqOj84tGF6GOTpDRRaijE2R0EeroBBldhDo6QUYXoY5OkNFFqKMTZHQR6ugEGV2EOjpBRhehjk6Q0UWooxNkdBHq6AQZXYQ6OkFGF6GOTpDRRaijE2R0EeroBBldhDo6QUYXoY5OkNFFqKMTZHQR6ugEGV2EOjpBRhehjk6Q0UWooxNkdBHq6AQZXYQ6OkFGF6GOTpDRRaijE2SUirCxsXHdunW5ubma5gYA3nrrrQsXLmjqorCwcO3atbW1tZp62bJly8aNGwWh6wKuA862bduampq0s3/kyJGVK1fu3LlTOxcAkJ+f/+yzz9bX12vnor6+fv369StXrtT0Nm5qalq/fv3WrVuVH6JUhPv27XM6nQcPHpTly6xLOhDk5eVt3769rq5OOxcAcPTo0ejo6L1792rnory83Ov1ms3mEydOaOcFABoaGjZv3qyp1CsqKq699tqxY8dq50KSpMOHDycmJmpaKFardd68eU6n09dtTd8B5IcffkhNTa2vry8pKVF4iFIRlpSULFy40Ofzeb1etdnrm4yMjLvuugvjrosWDiAY46ysrIkTJ7a2tmrnJTIycvHixY2NjQyjZnlQ5Rw5ciQpKUnTpbUkSbLZbGFhGi7HzfN8bW1tdnZ2YmKidl44jsvIyLBarZmZmdp5MZlMPM+3tLQgxWu2KhWhIAhms5kQoqlCaJo2mUza2QcAiqIyMzPz8/NHjBihnReDwdDY2Hj27Nm4uDjtvHi9XpfLNXbsWOXlrYLq6uotW7Z88skn2rkghJw6dWrr1q2avqMAoKqqymg0ms0qVwJWQlxc3CeffFJRUeF0OhUeolSEDMP4fD6EkKblDQCDsF6iy+UqLS3Nzs7WzkVlZaXNZlu0aNHZs2e181JUVLRz587PP/9c00rvNddcs27duuLiYu2KRpblrKys5cuXHzlyRCMXfoqLi2M1Xms1Nzd3zZo106dPLy8vV3iIUhFGRkYePHiQYRij0ag2e4rAGGutw127dmVmZmpaUaypqdmzZ09DQ4OmXpKTk5944onMzMyYmBjtvBQUFJSXl5tMJu2evwaDITw8vLKy0mq1auTCT0FBgaY1IAAwmUw1NTUul4uilIpL6X5Tp079+OOP09PTtW7khIaGWiwW7exjjHNzc995552cnBztvGRmZh47dqywsHD06NHaebFYLOnp6RMmTFBe81FBfHz82rVrJ02apJ0Li8USERGxefPm6667TjsvkiRxHKdpAwEApk2btm3bNp7nk5OTFR6iL5etoxNk9MF6HZ0go4tQRyfI/H9HniAAxbz4fgAAAABJRU5ErkJggg==", "info": { "equation": "12*13=156", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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7x6JlSRI//9eoZ+62Lp1e/eTbZU/894gdn/U5IeTKiCeUMAAQIBMnjDabTDRDHz56Knni/cnDMwJy0R2CRdeZd4jkA4QQQoIgbNm2++G/vG/o9wBrL2geT+gPXSN4WGZaUly0JIrE7Tt/1WPDP/hQxSTVoDNo8YT2SOe4cZm41UuH2UoXPm1JmZzy/ruB5rbPeML41OQRwxIl3ocY+vzERxLWPh/18EO927wi4gnb56ELgogJIZKclpoYEe0MyH6PIMQYHWmemmMIMSzLfPf9vthhV7EaTFXriObxhJ62cQJJkiXeBwgoq8kyM8t9+NgvUYSDGk/o9gIC7OZDbr+2+c39KnKrKJ7Q4/Wn2eZPbj14OKqv/ocrIp6wSzAIIcRkNBgGpOsJIVP4KN51GmSRENzKkzlL7hjAGm/PPjWPJ+w8AYAA4hgmxoFoLXtiNSMo8YRMXLi6WfvK4wkRQzOx4aimb6VcKfGEnRMwZQgBeiAaJ0RurcohkpdhmdOni0/knfhs68uy1tMpBiGesCMI4Vav71Qpwdqel0YEIZ4QIe/xc5jnA3VxWS89QQTJl1esRCnBjCe0tMcTdhqSAoIlxhRJsZZAXXSHEFlsLUeIpiiqpLxq6ZIbwVspaDNpux3N4wkvXSuWZSiaAprCLR7h9EXHvDn9zHlQGMx4QoahAQBxrPvLI45b5qvIbZ/xhCzL0DQNFEUkmT9QGLawby+DHU9YtGgRXOqrzJmV1jwqAXUYkiKYLF08c0jyGHPMVIoNrEnQI3z9idaKPTTNtLR43nn/3w8+cOuXX+VEpt44a57aQQMFaB9PeGkHnp88MWtyxogLv10ftuCOoc//p8cTnr3tttoPPqAAEECLlcu5bQLqGE8oSc4Qy22/valmzbvCmaasg4coU8AhU33HE3q9WenDZk2fcOHef1gyrh7+3vt9G1X4acRTD/7hR4ADAJ87TPv3fKr8m4pdODJzxl6AgwDbkhwnTh/iPZ4uf7IkEIL7NqQALAt1p/5Zm/tK85k33n/pro9fva+54M1ze9c/s2KuIPgGxMXlqP3um90A+wH20ejDVfert/Ovf+0FyAE46nTyFRU83+lanfzr6u8BDgB8baC//fh1lT4wPjN3bg7APoDjaWnE28OVkXzNkk/lx2aVIPF8TlzMPoBDAO9NS3O5G9XZ8ZWVHbbbcwByAOq3fcx7+Y6Xq/ro4a8vfS/0vQduUX2TVX6y3V+4e1n6o2eXd/FS9OZr3wIcANhNo39v+qsSg4MdT1g4JWWU3cdStHtaCotoY+CPIuXIvkaCBYQoUZKbGhtvnD1VEMSIcEdSorP8QlFSv8c/emFw4gkr0mNsc8aFGI3GsQn1NpVX8tcUT2gYMiRp06aG7783RkeHLVzUJbUqwt4yf2wCZaLiHBVj0wlROUOu93jC6qFO6sbRoSaLnBnrjlU0y2/w4wmjo++ezLJc7eE8Iqr5jpNCCJZaK38ksshy3L79x2RDQlhslq/pLCZUXHTox/+7YcXTbzKMZjMMBy2e8K96PGEnwu+8M/zOntsaxCs67ro+ZnyWJPjg+wLo8nk/xfQeT4gQOJ9cHJOQ0OSqJ2cUFcpgxxMSGeNWHrNYXcxuIJ6w5HUhRCEEzW5x0d2rbFEOX0uJJEnZWWkXyg/wPG+zaTjNV48nDICBiifs04tXwK08ltQ8sDrSezwhdvuLXgSkSF+/gJAIdXhqjhCJpxm6rKyy4OxFR3g4UAaKMQEhiKIsHNnz+b/URg7/itDjCa8Afo0iJNjbkO+tP4kQTdP0ydPFNyx6mOOMgBhL9NUASBTFWddPCeMq+ebKYOc1yOjxhFcCv0IREsDuyr0Ei4ii3G5PxcWGUWPbZgOztnhEswAgilJaSgwl1QU1p8HnCoon/A9m0Cc6qfqyfUD4GoqILACiEAKP2500chp3qQ+WolguNIWvO4koBmPwNRYYwzO1nsXWH3qPJ+w/V0g84QBSvnp1/aefGuPjR+zYoVHQNqLpgW22KhWhLMsq+5I6QARBcLkAtcWPMD2NT8i+RkQx6pat8oMlNyESQgYs4xBHxPyrf4eoS9ODEYUoDqCtkeP/nKZqR73lAeMBiY3sPZ4QUTTpdzfGlRBPSIj/Busvnp9+qnjmGYxxa25uyEsvRa9Y0TGVNRjxQHQDeKuqWKpt9bDuczAomsW+wLwoFWFcXBRN1wdkujsXX/6fkJJCihsDMqEQVbzzkwupJ6F9OQogY7PTqNY8oDhr3HTWGqfOC2OMQJS/AxezJifq3ENFm8IvLRlHGHNU/58sPRLmsDON1n7qsPd4QhljvrHEHGnt/3Mk6PGELEvHxUZijOl+fPmOiOKFZcsIxv4ZM1XPPluZHNUxnpB3NyZGOPqpQ7Gykn/hufB1d2JMEM16C0/nfLbFg9q+bStjzDeWZafYA3o4KhVhRnpKy8UmAoSQHhvzfeMtKip75m/ZL9zj/0kYunTlU/blNzLJ0W3xhIQ0O0pDQkJlXzNfn6dahKwtnqI5LPEES6x1CFCdztFgS0SIJkTGWDRYEzSqi8bFRps9Ef7yVlfqRJIuLFsmNze3rxrQ8O13lcbqn+MJMU4ZNtRqtWKMCVHpxQ8TGZl8mY/BDg4cx41MTxY8jTRNY4zVvd5rXn+9ae/en8Mv6+vLHr6/Uzyh3ZYQny37V1lVe7lKVjwe5XVHRjtltxdxhsbvvic7dxn+cMPP8YRDYhyOFP+LXaEXRSLEktvtKkIUhTF2Oh0JMWoW0xCKS+hwAzs2hQiSDJCUNMQQF5OYkWGeltklnhDRrOiuxL4milMzbQIhyp40r+n8DmN4pjF8ZJdUijLYk25qLv63JXoyF6pmgqIS3LV5mBCEACF01cRRakwojCeUZACw2y1jhqZdxtAvAG/jWcHTCIiSZHn0qBGhIWqmDStfnxATPHniKHW9E+683NA/zsSSBAA0TV81abTh6LkhXdcnlACA4wwTxisqFGVvQiJjyY0AEQIsw5hNqkbrEcXYLbTdjN0+gsBkMRksRp8o0d3iCQEQljz9CMxBjCkybOT/63nJAUSxltiwjN/3Z0GCPum4/J1N7YQypfGEADRNWcxBqEYOFFhyEywh2kAIsZg5dZXSgOIJVRcKxXFMXLjfIEIoJDykmfQcT0ghZLYo+oCDoqcBogyMMRwIASAUbaS40MAy3gYWLjaIlfXAUEBTQnmdWN3Yc3OGYIZzIKZfX6DoXWOaKhA6LX+HaKPKTwQojScEQBRLcWHqvFwJMMZwxHAABAimuLCfO9ICIaD1CVUXCuZ57/Hzbf2uMvbkFl9mWBUA0bRR0ffElImQNrLmGIIlIJhizKw5RmmWO2AalUUbQn1nShHHIo715ZfRLG3JGqppPGGwMNiTL73Jsbql8JTEEzIMTVEIMAbKYLAlDEjOgwJrHULRRiCYYIm1xl7qVwuMwVmf0HHzLa27DiMjCwCAEL/nROhvJgzG+oQAgEW3u3Kv6KkOSbqJNqocsXVt337ukd/HvfRHIuHqx9/4ISOyKVvbeMJgQbDoayxqLf/eljDLYE9GlJrx2L7jCUXpqklZU6dMMsXNYkyRmn7LWGOIxNc3Fe8w2BMt0VdRjFmdlT7iCQdkfUIPf/KqiezI0MhVd9Y8tKngfMVPC8bQ0K/1CZWKEAD8tQXlq671SOEt82t3fAoAkYsWJ255F0tdu48MBoaiGY1GDgYZgmV1Nat26t59178+odHpHHn8eMf1Cf0wDM0wjJKSvvIhRO5nM0EoL8/LyBCamwEgbdvH5rlzu6wc2P/1CQGgcddX+b+5AQBohs3IO04nJw/S+oQAAID6qUAASHjxBToiAgHEPbXKwHKg7dfKg0w/FQh9xRP+yuh/Q733eMKBIvSG2Qlr1vAlJSFXXWVJ79r9roKA3oQ6OjoDz6+hGqOj84tGF6GOTpDRRaijE2R0EeroBBldhDo6QUYXoY5OkNFFqKMTZHQR6ugEGV2EOjpBRhehjk6Q0UWooxNkdBHq6AQZXYQ6OkFGF6GOTpDRRaijE2R0EeroBBldhDo6QUYXoY5OkNFFqKMTZHQR6ugEGV2EOjpBRhehjk6Q0UWooxNkdBHq6AQZXYQ6OkFGF6GOTpDRRaijE2SUirCxsXHdunW5ubma5gYA3nrrrQsXLmjqorCwcO3atbW1tZp62bJly8aNGwWh6wKuA862bduampq0s3/kyJGVK1fu3LlTOxcAkJ+f/+yzz9bX12vnor6+fv369StXrtT0Nm5qalq/fv3WrVuVH6JUhPv27XM6nQcPHpTly6xLOhDk5eVt3769rq5OOxcAcPTo0ejo6L1792rnory83Ov1ms3mEydOaOcFABoaGjZv3qyp1CsqKq699tqxY8dq50KSpMOHDycmJmpaKFardd68eU6n09dtTd8B5IcffkhNTa2vry8pKVF4iFIRlpSULFy40Ofzeb1etdnrm4yMjLvuugvjrosWDiAY46ysrIkTJ7a2tmrnJTIycvHixY2NjQyjZnlQ5Rw5ciQpKUnTpbUkSbLZbGFhGi7HzfN8bW1tdnZ2YmKidl44jsvIyLBarZmZmdp5MZlMPM+3tLQgxWu2KhWhIAhms5kQoqlCaJo2mUza2QcAiqIyMzPz8/NHjBihnReDwdDY2Hj27Nm4uDjtvHi9XpfLNXbsWOXlrYLq6uotW7Z88skn2rkghJw6dWrr1q2avqMAoKqqymg0ms0qVwJWQlxc3CeffFJRUeF0OhUeolSEDMP4fD6EkKblDQCDsF6iy+UqLS3Nzs7WzkVlZaXNZlu0aNHZs2e181JUVLRz587PP/9c00rvNddcs27duuLiYu2KRpblrKys5cuXHzlyRCMXfoqLi2M1Xms1Nzd3zZo106dPLy8vV3iIUhFGRkYePHiQYRij0ag2e4rAGGutw127dmVmZmpaUaypqdmzZ09DQ4OmXpKTk5944onMzMyYmBjtvBQUFJSXl5tMJu2evwaDITw8vLKy0mq1auTCT0FBgaY1IAAwmUw1NTUul4uilIpL6X5Tp079+OOP09PTtW7khIaGWiwW7exjjHNzc995552cnBztvGRmZh47dqywsHD06NHaebFYLOnp6RMmTFBe81FBfHz82rVrJ02apJ0Li8USERGxefPm6667TjsvkiRxHKdpAwEApk2btm3bNp7nk5OTFR6iL5etoxNk9MF6HZ0go4tQRyfI/H9HniAAxbz4fgAAAABJRU5ErkJggg==", "info": { "equation": "12*13=156", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
4b758f9402cfd4df312d8534bfd87ee37318269b8e44d74c11c089014f0e4d9b
93
1,826,030,589
train
2025-09-16T02:27:51.178155
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 1826030589, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'0', 1:'+', 2:'1', 3:'0', 4:'/', 5:'3', 6:'=', 7:'9', 8:'0']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [7, 5, 4, 8])</answer>", "action": "('move', [7, 5, 4, 8])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "0+10*3=30", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "0+10*3=30", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
4598e4513ba04859cba61539298d95f6461a5f09062989d8f4bec38571c56dc4
94
2,233,675,141
train
2025-09-16T02:27:51.193721
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 2233675141, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'8', 1:'0', 2:'+', 3:'1', 4:'2', 5:'=', 6:'8']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [2, 7, 3, 0])</answer>", "action": "('move', [2, 7, 3, 0])", "reward": 0, "image": 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YGJiAcQumMglm8HOx0jTNMjTtnUolGChGGzespgqF/YR9//iaYFlnHYSJboRzfT9h34pACAFClEln+98K05R8fU60/IQ+JKdrcu6E+YuKrv7vjiuvlyfe/x8R9BPa9m0btWqpoWRa25pNtorjN/xlk+Xuu/u0crlOzZvnOHCg55MI+gn5xsaqKVMkm817saMA2q3GXXfkjEqx/sd9SwVJ4jh25+7D+w9W6fXa0SkJy++6DWmTjcmzaG1csF97iBpR9hOeLC52VVZ6/4kA3Ay1u3Sqn5/QB8FEb9A+cO9iVmc2jV1Aa+JQBOcJRrqf0AfCWPbw931nSZzR0PToH4QLHZMPHdWMG8T61UH6CQEA4Ph93xY++kQLgACaU0yG11+JoJ9wb9oY9mILAmABKvMS5/xjV2aAR87ZePZQZkaU/IS2rVtP33knFkUA4MzmSQcPyulj3/7Nw2XLZsky4Th22/b9E29+eHxWHkVRHMcCKPOrKlH1E9pP/vNITk6vR+72Kd95e4cOBVk1ghBwHIcQivAMzTfFTwhgr605mpcfBwAADMDBO6c+uPlw1P2E1dPTfH5CKvJ+wspFOQvbM2QCulFmc36SHMwj12XQRM9PaC4pGbdhg+OrrwhA/LJl+okTRUHsN1nPabRaXbTsiyESVT9he4y2n0eOw7TW2N9KFz2+SX5Ci6npztwJbKyAsTF3OP2Evxo2P2EwouwnTHz8cf9LLgkyOhxhA9cQiKqfMJhHbvgO+RvnJzSpfsLh7IuNKKLoJwzbIxcOqp9QRUVhVD+hiorC/Kv7CVVUFGcE+QmHhT6Po4NaaxMNQvQTqkSbKL1TIERGiJ9w2LKxz7l2nb9A4rrnJAhBbPDOKCZASFTGygL9hLQ+yEwAp9FJ11tCFVmGOVyIRE+Vp7FR8l8GiBBrGHDMXfJcRYimNeYIChgJfkLh4kXB6fKvw6DZyHLaML+I3iK8+seXNR+9FzPve94CQyzLV391eMu7nRTx9xPKGMfoiEajCSdqUAL9hBRFX/zob+dyJvY4RwCAAOHdjvT0lCjZ2AKhKGpCZmrQtw4oSPRUeerqLj/8YNq6Ut8ZRgjcnpNv/aUtMQb19RMmJlgmTRzbeX4nxegMyTdrYjMRHbHEUNxPeHbFivQVE3uSjELo/N/eqckaB0IfP6Hb2ZmeFlY2+o6rs6Ki9vvfz39wriXOJDk8CCFKo2kv39b4zmbqZyv8/YQyxgX5OZxG47VUE0IwiUwxND7zjH3fvpt/sR53Tzximj73vZ+yy6fqFuT31CEhRKfX5s+c1nOplmUcnRuzD4ZhZs7I453t3kUhGOMoPQiMBFWSzVa7fLmxoyMzP1v08AAAFBK7umofeFj+YYlmfB8/oc5jcRjGI4ohWLA3fsFmr6QjV4QAMHb9+gjubVCcfexxz9GjN710X89PB2BEnXv6WXR/ob44199PaDIZJxfmi2JvNg42lq8InUeOUnpivPdWycUDACHEaDDMXTiber0iuJ9Qxt54qWOSxidG5kE80E84bXpOS4o1yZoc38/BRYgg+OwdkiTNmzvDZIzi+hV32/GeXBdFafq0nIQxyvf+o6QKO52OysqU3z4kYV+xSRKet2BW+4Zt4yZl6+dM7u8n9F0KEdCss/lQTNrC8DWMBGyfb7U+WoJj9SBKACCK0k03Tbls+SglMS2In7DbVCnJ8vx5N2m1g7sSdfsJWZbWcszoeGz3PQQzLG1JsLQBXMNPSAjRcIwxQquZAv2EMXExHXoNf00HFyEkNtZAX+O34cJG5jsJlrzrEgkhRqNWMwJ+AjhaqhBCAFxGbz0TTCwJlvYQ/IQy3xEBASMDitVwaYmIY4goAQDBxGyNbdeyPJavnY3mWD01yJ8g7PYTSqJo93iO1/t+sw0h2elxHjx9PQsZQYyB4iLzKqzgfsIOx7XW7gAAwbQuOeKdcn9Y42jEaHxjRQTTmnhED98qyoGIliqMCYBr7z97rryIoZwHTmEAcr0HLc40iFcRjXCwyLsOnMJOT082uiobJLv7utnI6EYPdi27r3XcHXcwWrP988OUSQcAwNDEI9g/Phj/b/MD/YQMQ9MUBQAESzRn5oyRsXIG8xN+jTxC3NKbAh1cDEN7R62wLGjiJiIqip12jXkCRWsBywCAscAZx1JcxH7cbaSpYiyW+Lvvbn/9c6RhgPJ55Drf3mnITvuX8hMmffcp2z8OE48AjC8bHVuPMgxjXjQteDYCABAsCxrLpMH+2lCvlamzfFvNPaXGWZMS1z/o3Fvd8fy7dUQ+cWdeED+hKE3Jm3jbLQV0TJYuPo/WxEbmuDGuX7myfffnid8rNZRMa12zyb3z613ZCfbCnvcT9iJj+d7lixITLIYxCxh9YgQH5YIi8x3OloO8rc6YOldjSqfYEfE7DlFSJXd1nbx1jtDVkvL7R5nEuOZH/+Coa94+fyKMjR9WP6GiEEmqW7HCdmxv4poVhqKcyz94zf3lqYr8ZE/+OAjIRoLJ/fcsjrOYjakLGd2owTqq+vgJW363oX71M975AeP4CZO+OipzXPCZGZpiWSbyD4GyXDW1oOvrE14N49b9PP7ZH+IBHok5jqUoFNUH0b4QguWo3nKHRFRUec6cqZpaIDodCACAuvHTT3Tzb+v3fkIv0fITjgCw2101Oc9RV+vNxszf/tby5BMDZqOGpdAQsxH1G9duWrNGaGnBgFJWPa3PzR2K9vDwnDlz8cUXESGMxaLgCLWKbcuWK3/fjIAYCwoSH39caTnK4KqqurTh9xQQLilpzPPPRylK/yJUUVEZZv6/PUKoqHzjUItQRUVh1CJUUVEYtQhVVBRGLUIVFYVRi1BFRWHUIlRRURi1CFVUFEYtQhUVhVGLUEVFYdQiVFFRGLUIVVQURi1CFRWFUYtQRUVh1CJUUVEYtQhVVBRGLUIVFYVRi1BFRWHUIlRRURi1CFVUFEYtQhUVhVGLUEVFYdQiVFFRGLUIVVQURi1CFRWFUYtQRUVh1CJUUVGYoRSh0+lcv379q6++GnE1g+K1117bunWrggJ27dr13HPP1dfXKyXg/Pnz69at27hxI8/z128dNTo7O19++WWMB/2u9ohQXV397LPPvvDCC2fOnFFEAABUVVWtXbt23759Q9t8KEX4ySefWCwWh8OxZ8+eoUUNn/Ly8s8+++zrr79WSoDdbt+7d++sWbP++te/KiKAEFJeXj5jxozOzs4DBw4oosFLRUXFxo0bERrcO6IjRX19/aRJk+66667k5GRFBHR1dZWXlxcVFW3bts1msw1hD0MpwuPHjy9btmz27NlHjhwZwuYRoaio6KmnnqIoxR6nBUG4/fbbZ86c2dGh2Ivay8rK8vLyLl++rNFE9x2p1+Dq1as1NTU5OTlKvd7L6XRarVaDwWAyKfP65EuXLnV0dGRkZMycOZNhhvKiyKEksdvt1uv1Op3O7XYPYfOIoNPpdDqdgu91s1qtBQUFW7ZsKSoqUkQAQigmJubo0aNtbW2ZmZmKaACAioqK4uLilJQUpe6Era2t27dv37Bhw8mTJxURIIpiVVXVe++9V1NTw7LsEPYwlCLkOI7neUEQOG5wrwWOLIq/WbG+vr6mpqakpESR6JIkHTp0aMmSJbfeeuuJEycU0WCz2T788MPPP/98586dhw4dUkRDUVHRunXrFi9evG3bNkUEYIwnT568du3a8+fPt7W1DWEPQ7l7jh8//siRIy0tLVlZWUPYPFIQQmQ5+LuLhwFJkt54441FixYpdSXy9gkTExNtNltaWpoiGvR6/S9/+UuXy3Xy5Mn09HRFNFRXV+t0OrvdbjabFRFgNpsTEhJaW1s5jhtaMgzlTvitb31r8+bNtbW1ixYtGsLmkcJgMCQlJSkVvb6+vrq6etOmTZs2bVJEAMuyc+bMWbt2LQDMnj1bEQ0cx2VmZubm5k6fPj0hIUERDdOmTXvxxRePHTtWWlqqiIC0tLTk5OQf/OAHM2fOHNpJUF+XraKiMOpkvYqKwqhFqKKiMP8H76XEZaEpaW0AAAAASUVORK5CYII=", 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", 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", "info": { "equation": "80-72=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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", "info": { "equation": "80-72=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
156dd94f6719aeef8a8381ec27c3a3c1a5d6d007a83b406af67cad2893303671
95
893,102,645
train
2025-09-16T02:27:51.208462
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 893102645, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'5', 1:'4', 2:'+', 3:'1', 4:'=', 5:'4', 6:'7']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [2, 7, 3, 0])</answer>", "action": "('move', [2, 7, 3, 0])", "reward": 0, "image": 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UShzn3RM7+tB9rs++1AIggEvJEYYP3ps45YEQb6YVSSofObLpyBEEQAD6vvRS7DO/x15jAHttzcGsLDMGAGAB9k8a9D+bDplkSmWybNly8q67sCAAAGc2DyotldL6rHvjsbnFd0gS4Th22/a9WaMeyxyQR1EUx7EAlCILNYgk7clIY85dAAAO4PjQpDGff5vZR54XsvuJ7P7hCUD6228nPnnD14vovIoQTWvMslTdzsWXXz7z/PNuSzDn52ft3SOCj3HB4VnT8LadGgAEcL6PKeGTTwoLZ8qrpGtaTvx4KCdHT4AAcCy9f/qQBZ8d0KEAxoQdJjMSFy0S6+tdly9jgORFi9gIk8/IUPnw1HxhhI5haAqJM/JaXDIMCFuh6cx162pfew0BMFFRyc89B+AjPGWJNJ4tHjIBGQWMDQNSDLLmE5qLivquWGH9/nsCEFtcrM/KElxCp2A9p9Fqdd2VvugnP/t8wuTnnhMbG8XGRgLQ6w9/YDRanzNv5bf3HaV3MBTNsbSjKFvGfEI/uWbSyplPCAC9X3rp5ufoNQmv/FJvMNI03Xi0HCQ5M7i0/ftn3DSDixeMYwcndVs+YcJvfpPgWZ2P2WElUmY6Kfi55xMCQJ/XX79pGdZsTHj1V92UT+gP8ucT+lctwVYnJjSiacUzuMKTT9gz+dnnE/qFmk+o8nNDzScMO2o+oUpH1HzCsKM6oUoHelQ+4S1Cx+4oIRUzZ/IXLhCA1OXLzUVFCqlSUYyek09469DBCc8+8cTVzZspAAJQ+cADuceO+Yw5YgKEKDk9SAgRb9Y1kpcwV+cn3aSqR+QT+o3iPw0hRJJC0tAhn/Diu++6+xYIQLBYqufObX5hSad8Qgljk45oNOFaI+sLvV6blpbsc+jSHVAU1S8jxeeuAwrSraoUzyf0n34ZfShKyflxo1HfJyUpFGtsdcKmkpIzTz/t+SijAJoPHqxe+LD3/oT5Q3M4jUaSMAAQQjAJd2TGHGkamjdQbFsjK0m4W1/MDMMUjMzjbdfcD3uMsbIdgfCoMs+YYf5vyIoqGJlnu1bp/n9CSNgeze3ExkYPzunX/kKWAg+bB5tPKGF3fSm9EzMTcoISHzwtF0sFF48oGgBEUZw4fmSEsRvXrzgajrbbuiCIw4flxPdO7L7q/qtVhRm++Yzdcq7NEqT0vr31vcK6kh4AWmr3CaKIEA0AoiRNmni7VhtYPzGkfEJCiIZjjEZdQFWGjsQ3tq9ZIYRERhro7vzbcBLfRLCIaM5dndGo1fSAPwHcM1WFGSzaieR0r5UjhGg1rMEQ7oGSZ3SUEGKO1AfaPQ51f0LEGCguOqAqQ4eL6HN9GoBgWpcEgayXDRTW2Asxmla3J5jWxCI63M8db3qmqjDDaGMozgTuARHBiI2guKgwa+gQHSWY0fUKdI6qB+1P6D+62GwA3JptK7k0UVmI6salPxpzP4rWurfpwtjFGftQnGx/3O1npirMsPpERhuDsQAAGAuMNobVh7tProvJBixdt8boQYH+taGg8gm7aX9C/yFY5ButNdtFvjEydRqjT5Bx8b5PJL7RVlfKWyqNKeM1EWlUzwiI9UxVYUZyNTuvltvrD+vjh2ljcmjOFGYBhEgS39hy7hss2Exp0xldnHuM4D/B5BMCAE1TLMt0ayfw5hBMgKDwaSAES936yg2Knqkq3BAsKtwIIVhjMPmEPQUU5vAQ6pG23jNVhRvlGyEEa0Q9IeSlonIroy7gVlFRGNUJVVQURnVCFRWFUZ1QRUVhVCdUUVEY1QlVVBRGdUIVFYVRnVBFRWFUJ1RRURjVCVVUFEZ1QhUVhVGdUEVFYVQnVFFRGNUJVVQURnVCFRWFUZ1QRUVhVCdUUVEY1QlVVBRGdUIVFYVRnVBFRWFUJ1RRURjVCVVUFEZ1QhUVhVGdUEVFYVQnVFFRGNUJVVQURnVCFRWFCcYJbTbb66+/vmbNGtnVBMT777+/ZcsWBQXs3Lnzueeeq6qqUkrA+fPnly1btnr1ap7nldIAAE1NTatWrQr/ZvFuysvLn3322eXLl586dUoRAQBQVla2dOnSPXv2BHd6ME745ZdfRkdHW63WXbt2BVdr6GzduvWrr7764YcflBLQ0tKye/fuO+6445NPPlFEACFk69atI0eObGpq2r9/vyIa3JSUlKxevRqh8O6R1UZVVdWgQYPuvvvupKQkRQQ0Nzdv3bq1sLBw27ZtFosliCsE44RHjx4tLi4ePXr0oUOHgjhdFgoLC5966imKUqw77XK5pk2bVlBQ0NjYePPS3cPcuXPz8vIuX76s0YR7o/Z2rl69WlFRkZOTo9T2XjabLSYmxmAwREQos1HxxYsXGxsb09PTCwoKGCaYHdqCMWKHw6HX63U6ncPhCOJ0WdDpdDqdTsF93WJiYvLz8zdt2lRYWKiIAISQyWQ6fPhwQ0NDRkaGIhoAoKSkZMyYMcnJyUq9Cevr67dv375ixYoTJ04oIkAQhLKysvXr11dUVLBsMDt6BuOEHMfxPO9yuTgusG2B5UXxnRWrqqoqKiqKiooUqV0UxQMHDsyYMePOO+88fvy4IhosFsvGjRu//vrrHTt2HDhwQBENhYWFy5Ytmz59+rZt2xQRgDEePHjw0qVLz58/39DQEMQVgnl7ZmZmHjp0qK6ubsCAAUGcLheEEEmSlKpdFMUPP/xw6tSpSj2J3GPChIQEi8WSmpqqiAa9Xv/yyy/b7fYTJ06kpaUpoqG8vFyn07W0tJjNZkUEmM3m+Pj4+vp6juOCM4Zg3oRz5sz5/PPPT58+PXXq1CBOlwuDwZCYmKhU7VVVVeXl5R999NFHH32kiACWZceNG7d06VIAGD16tCIaOI7LyMjIzc0dPnx4fHy8IhqGDRv22muvHTlyZPbs2YoISE1NTUpKeuaZZwoKCoJrBHW7bBUVhVGD9SoqCqM6oYqKwvw/+OEKpBk2+w8AAAAASUVORK5CYII=", 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", 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", "info": { "equation": "54-7=47", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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"info": { "equation": "54-7=47", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
93fe26331071fed973e5c42a67a1787ed7ce64e9c96be5afc1a2fe4a740baf13
96
2,348,102,761
train
2025-09-16T02:27:51.224500
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 2348102761, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'7', 1:'7', 2:'+', 3:'4', 4:'9', 5:'=', 6:'6', 7:'5']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [0, 0, 4, 4])</answer>", "action": "('move', [0, 0, 4, 4])", "reward": 0, "image": 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ufkIM0FiUxC2Zg6z9r6djCo2ZWBgRohatNjpCc3Hy8tCCKVmffTosfkK7IkJ5E/KjtWGimaejwprmvKyMHJnz1b47yk9ISFbBqJT4GMFoZqK1rb/4d+GCYXTlMUan80HRIz8hIRmjszJSEgSDmYnSXvntFnN5U17lMU/82Z5eCQ3Hjjlt8a+7zxVjVRXBQ8wgUh2MR44M/pMAMADJRiCDzvapU4oiIiNs/ecrY+48qUmc7rOiWz/hWFVE0uxpxMw7Ntpsgmi1AQA2WiOWzuv5930+K97aTzhE0cIDAqw3hT87r+P/7Lgj/YSCyQIIib1G3VOzW598E+v14FMQeuEnNFoAIaHXoHu8tG/3WqGry59B6Lab9Ke7b/gV3eYVqSHnHs/b8I2HGSJxRsutNcEGxGrliZV3/QkAFCnRw+cndJOBgCIleliPo9/x2k+ICZMURalUPr+b57WfEBMmMZJScUB5NPvg6RTFba1xfsetNc7/DsZbzGghJHFGy2tFAFNlAxlOP6EzCJkqG7DZfCf7CRnKUn1B1Ot9rqO3fkLEUJaTF0WD0UNFT4Mw8ic/oRjGqUg/uvtciXj4YUat9qOfMGrxYqf+jGYY7QMTiXDjxQ6GplmGRsj+wEg4naQxBlc/IQUQ/tAkhkKDJ9BYlqEoChAgBdO3+3DkT4fNTzhYkaYAAKkUfbsPRTyy8M7zE7IsQ9M0AFAhnP5v5drpM5lIH4e7PfQTsixDM3ZFlX5vhWb8JEVCgiflezowAwCXV626vG7djc+xSfYT3pYrb77ZtOJfkf/8hI1Ll1557z17fhqgISfu+JT0px6ZnZaaQFHUtwcrj1aeUSjYuXOm5OZmqhNnMepYJG1IvWXlypYNGxyKP6ZHnZk/hsVDWl0wmkpLiwpyR7Y8+0cgYXcdLqdUKp8V215//dLLLzsUm5PCTy4Yyw69aRKMpsmTx0yckN/8/CbcJeZVVtEajc+K8PfpJzSZ80aPnH3flNaXt5mONeZXVXsYEm7p2bPn7Pz59ksWBdATri5/dJyTn1C0WLJGJN//0Iwrr/1//f6TeRXHuUzPJtU8dz1hjP3rJ/QE//oJRaOxNje3DKAMoHbUKJvZ/P1Xu4599q89de9dr9/y2XtLLjScNpuMgo33lw8NC8Kp8ePtijWpqZaOa2aLswntyLw5hwAqACoQ/OVf/OAnrLvnnjKAcoAT0dHmlmZXr13l4kcPAti/Tbp9yQN3pJ+w9uUV3wIcBTgG8OeHJpqxTaJi49Kl9lY9yrLXj5S7+gnPbFj3jf2rvAB/npl33er85d6b4cU8oUD87Ce8LX73E1Jqdca2bVe3bgWAuF/+kuE4lhnSAkpOxancWP58BtF0xtatVzZtIgAxixcro6Jd05wvzihkJtIUrczzg58QANLffVfxxhsEIGr+fC7JzQdFz49LzTEUcTTDZSf8eIf6CRtHxUfPHRfGKbmkKPWoJNFkgRBJV/vk9euxIBBCNIWFYZNKXBM0Z8Wq7i3UqlXKmHBNQRI2WCDCoxjxIgiJIPrdT3gbxWHwE2qKi0fe4gMWwzA+oS4oGLF16y0SsDHa2Dee9pefEAC4rKxbKzLaO99PSCvomN8/FhUTTQEheyokygEArdNlvP/+LRJQANGrF8YlJtEI4PMyz88k2U/4d4C//YS35x/BT0gAGy3YYAYqcOcNNlqxwYy8VJT9hDKSkP2E0pH9hDKSkP2E0pGDUEYSQfMT3kHIt6N3IPrDhy/+6lcAEPuzn8UtWzasWsHyE3r4Rpgf4Zubz82fjwnRTp6c9qc/+bFk74JQEPz2ifi/E0URY8rF+RZg/FtH0WD48ZlnzA0NANC0YkXY9OnqAuflgRxL4vmFIPgJrVZrZydQA5Pvbt/fQJQf60hE8eKSJfqTJxGAsbY2dPr0SJcl9BBFY5/OJW+c9RSVnppAiB+/9XYbEEB6WiIBgoZNMTY6QoQQjAlFB23sNT0tEfnvxaPm5ctNAyZMYrM1/uIX19euGOwnFDFW0GaF0p/fVw20n/C1f4u4cpbmioAXEE2LLa3H//bXHhY5+lMRY97QHpIW7q8wbN+8uXv/fsdc6OVly5qUwmA/oYixoetSZk6oDwHiRRAyDF1YkGM1dtq/6i8O9RkNBwjBuMJcU1+b/RS1j3H7l4yMlOsoAmMMNIUx9mPf6TnjCkcZOvunByXWsWvnzqtbtw5e9VF/4kTzS78e7CcUMS4oGKVQKEQRIz+1qiIl5dYzk35Ef/hw8xsbxv9pKUKIACAFa6j9ofH9XfSrjw9enzA7a4QmVCMIIgCSeK4aq6paVq8ePBdqvXKl+ZmnndYnHJGRotPp7KvcYow9P5W8CEJrb4PV2Gm/yqtV3JRJw97hWfsazfqrCFGEgELBTpsy1s8CBBuuVhOCAIFNEMcW5kZH+/X72x4gmNqNPY39S+chNP1u393f4JWfUMQAgAmefvf4AE6k+QHjiRpFWjg7Idu+bhdC6O57JgrHWzNc/YSCCACiIE4tKeQkvKHuhZ9QEABAEMVJEwvCQj199cqLIBR5I8ECohUAQFGUJtT3l4w9BAsmIvL2D0wghMLC/PlCmR2R77PfPBBCNGrnt9gCABGtWDBTAx/R0Eqro9d+QsmKgQfRDBOqosM1uM9kv+8Ljw6/cnM/ISEkLDSEktDTeOsnJISEhqrsKzR5ghdDTIw6mmI4+2KLiKJpLsbzvL7BcJEUG9K/vCOiaJXvK7nfBMSGJPSXTzDFRSKKvV0WP0MpQhmlzrGgJK2Kk1Ka135CyYqBh2CBb79ua74GDAUAQMB4vMHtapaOHDQXE+D1CWkuxvMhKC/2TKFJohg1YAyAAdFKrX/WlL4FrDqOZkMJFgAIIMT5fX4JIaVuJMY2AMCYV2iSKWbYL+9O0MpwRhVFsAAAhIhKnaTVET30EzIMTVEIgBBR+F83a6e7717Qg7XuEsUp7CZM/X8duSPWJ/QM0dqjbzmAbSZt2jyai5DSu3is2Ktv/V60dGvT5jGqaL8rEtFq7buobz6gjp2gisyj2GG3hrgi8n2mq0etfRe1aXMZdYLnB88tHvkJbcLUyWOLxo9WJZSymqTAX/8l0vmf/3lx5YuxKx4NuSe//dmNzU3tRx8uYJSKYV2f8LZ+Qp/XJ/R+vohgAOKX2R7PFQkQieba2ykIEk996btACPZXHetLS7u/+w4BcNHRo6pPQHS066ydvecO6HH0Kxcee7x950cUAM2wo45XMrk5bmYmaYplGX/V8dJzz7W++y4CoFk29+D3inFjwWXpcYqmFN4ren/mDf/Vz1VxuEfvgh2BAID82Mvc1k94B5C68R1KE0IICZsyRTNmTAAUb+sn9Bl/vjkhIyPjA/IL3DIyQUYOQhmZICMHoYxMkJGDUEYmyMhBKCMTZOQglJEJMnIQysgEGTkIZWSCjByEMjJBRg5CGZkgIwehjEyQkYNQRibIyEEoIxNk5CCUkQkychDKyAQZOQhlZIKMHIQyMkFGDkIZmSAjB6GMTJCRg1BGJsjIQSgjE2TkIJSRCTJyEMrIBBk5CGVkgowchDIyQUYOQhmZICMHoYxMkPEuCM+fP79mzZqzZ88O09645aOPPjp48GDA5CwWy8aNG3fv3h0wxe7u7nXr1u3YsSPA64Ls2rWrqakpMFqNjY2rV69+++23e3t7A6NICNmyZcv27dsDIwcAJ06cePXVV1euXHny5EmvMnoRhBjjr776Kjs7+8CBA6IoereDvlJfX//JJ5+cO3cuMHIA8MMPP4SGhtbV1V27di0wimVlZfn5+RcvXgxYSACAwWB46623enp6AiPX3NyclZV1//33q9UBWp27qqqKZVmDwXDmzJnAKKanpy9YsECtVvM871VGL4KQ5/murq7Fixf39PRY3S3LPBxkZmYuW7aMCeBS8jqdbv78+RzHeduUPlNaWjp+/Pje3t5AVvPgwYO5ubkUFaDnEZPJpNPptFqtQqEIjGJNTU1ycvLYsWPDwsICoxgREZGXl6dWq8d4uVSbd1dCjLH9PwG7EjIMo9FoAnmflpWVJQgCxjgyMjIwihqNpqamhuf56OjowCj29fV1dnaWlJQgNNxLP/bT09Pz9ddfb9q0qbu7OzCKXV1d+/fv37dvH8d5umKudE6dOhUTE+NtR+NFECKE7B0nRVEB60EBIPArKH7++efFxcUqVYDWr6+urp47d252dnZLS0tgFE+cOLF///69e/eWlZUFRnHMmDFr167NzMysr68PjKJCoXjhhRfGjh1bU1MTGEUAqKury8nJ8TaXF7GkUCg0Gk1lZaVarVYqJa0A7hWEkIBdeAHg7Nmzra2t48aNC1jwHzt2rL6+3mg00nSAFq8uLCxctWpVXl5eenp6YBQvXLjQ1NRks9kC9kyYnp7e09NjMBg0Gk1gFK1Wa0tLS3Z2trcZvQhCmqanTp26efPmkpKSQD69qNXqgN2nAUBtbW1NTc3atWtNJlNgFKdNm7Zhw4aoqKi0tLTAKOp0ulGjRo0fPz5givn5+Zs2bTIajd4+L/lMaWnpBx980NraWlRUFBjF69evx8bGarVabzPKy2XLyAQZebJeRibIyEEoIxNk/gccChFLB0ikpQAAAABJRU5ErkJggg==", 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", 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", "info": { "equation": "17+48=65", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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"info": { "equation": "17+48=65", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
5acdb75a4ff457c377c304d4da443efa272abd79ab4a43d3e41a1eca71e33bda
97
2,438,254,339
train
2025-09-16T02:27:51.240147
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 2438254339, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'6', 1:'5', 2:'+', 3:'0', 4:'=', 5:'8', 6:'5']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [2, 7, 0, 1])</answer>", "action": "('move', [2, 7, 0, 1])", "reward": 0, "image": 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", 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", 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", "info": { "equation": "85-0=85", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", 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"info": { "equation": "85-0=85", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
f9ddee90e910e2b20e875bd7ee5f3a2c9208c0b19d3ef639e687d751ddf300a1
98
793,943,861
train
2025-09-16T02:27:51.257366
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 793943861, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'5', 1:'/', 2:'2', 3:'8', 4:'=', 5:'1', 6:'0', 7:'0']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [3, 6, 1, 8])</answer>", "action": "('move', [3, 6, 1, 8])", "reward": 0, "image": "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", 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", "info": { "equation": "5*20=100", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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RF07TymHgEBBN28vL+bo6NqFzUrdl06aLH33kvLkxQMaRSqHwKCfFT/jWKn3RIWZ6DvAi0LTjfI29skrRs3NSt+3XX+v/sdqpKAKkn6glew+Ab37C9ha2+uWXjR2OXufRC+s+rv3wdVP9dmPVVueLHqhK+vsCJsGAFGzC67OMu3bVvPZawKXqAqIVrLY7IZ2Tk7wgHDtRkpcftK5g3erVLR2OXgCgAZo3b6n+2/PuZTRWbc3O6IY62gdRDHDJr5OGNWtavtkwOHdg+3yAQtH07ab65a+7Ehj37Kl+7TV3i6O5rLRi8eKAFzc7Uaal9Vm7tu/atfo775SST1CwFhdX/OUv7k48W2Nj6axZ2GIJLEPj7t1Vb64YkjvQ+WWNONZ4tKhyYefclb28vGzRItdbBOAwtpXOmiW0tASmaD50qOKV/xw0NIthGABADGMuKSmbN58I7bero7a2dN48IoouRcFuK509m6+v9yV/v/2EmGAAAI7RP5pv3L4zsFJ5RRmdaWs5QwQLIMRx7PYd+1RRGfHdpK4gcXF1P6HrOM/zzpihKGrcGEl9CeNvu3S3ZqOkaCJiIESjUY3KG9S8c5ermbOeOiVYLO7PUrKf8JqYDxdyvQzs0H7EIQAAQmj8xFHG/9riSuCoq7PX1rorSvQTWk8VM9GcYlw2sTkAgBAyfuIo83NfgigCwwCA2Nxsq6hw7zL65SdsP/EqfsLOl8PhmghGDM0kxyLWy6xUwNBcpCoqkxARAICQhsa2O+59jOWCZq67ip/w8jm0jjIiFBkRyF3iAjEcExeJ1Apny8bQdGS03n0qz6s1TvYTXitDhtGpaIPW1dE1xBouW3UcfEWa1irpaJ274mW3E+Vlev46+wkREJvDduQsEbz5fQOFN9daLh5BiGEY+tCRU2dKSr9et9xsvBSs/K/pJ+wKQrRK0tpRIvK20zW4xQQUAgSi1W4pLCV8Z6V5tcbJfsJrZIgFR30rX9UADAUAQMBysATbOyuNiKJ3xYD9hKLINxodpXXtiggsB0uw2+9rEG+jeUHxEyo8/YQsyyAKAU0Rh2DafCRmzqzASuUVR2s5wXZAQFHUubLqh2dOjdbYLjZcCFb+3vyEyOUnvNwziQAIAFHq0yQpPvyg7XCp0NiGGAZoith589ajMbMfdSWIGD9eGR8v+wn9Qn/bZDCC/VQFpeQAAeKYto27Yh580JVA2bevLicniH5C3eg8Cmlth89QagUAICXXtnFX9H33uUZlFcnJESNHBsFPeOauu5p//NEZlDRA4eCeNePSL/cTEtFsufveSd1YRdWCt3VDx6R9uT5Yt4voMLaWbsSChaaZ8+fr1m/c8uyfZ/1+oKikll707CoUpMUDFQsX1n3wgfOKaYDivjHnpg7s8BO2I/DClMl5GRmp6qRbGXU8kjaIX/380oavPun25hzKoK1Z8HZE7vjUz79wf75oWr/+3MwHQfYT+kPjp59W/L+/xD41QzM+q2bOSoqN7r9zt3ulmQ8fPjVyJHY4IFh+wm83lS6eF73w9ojpI2oWrMZtVNb+A+7fI7YzZ04OHSoYjeC/nxBcP37oqKk5FB29B6AAoDg/3+GwWa0Wq6XzZbGYd6T23gOwH2CHkt34/iuB/4yjB8aqbQ2Fqy8ee7/tzJoVf/nDL/+z5NKpDxuP//dfF+edPLovWCq82bSrW9xegH0A2/Tq7z5b2aWMzpfAOwgWgqIoisLunt2dP0e5XcV++8/XPNMcvuO2AoC9APs45pOnHpCoKBiNhWlpewH2AuxnWfPRo94vjLfylgaJWr5z4vEFuwH2AvyO0EcPTeAlZ3jw1gkFAPsA9lLok6cf9Exw+oXndgLsBTgA8NGMEVZRqmbhPdOdivsAPn7sLs8E5/7rb78B7AU4CLBuUnarzfsv93rSOTLHJib2Xreu6fvvEUDSc8+xrKLLxLKASemtmaMGJGACury0lqig+V8Idgj2ZqBoiqKamlppmgzMSuMFgWOZcWOGFh/7PTP7auYj37HR1NnJA/LabCIB1Zi0Gp32unomAUAAODNlQF59d0xAm5fWZvBSabKfMJAM8/oO0phpRCmyelT08DIXGnw/4fCUTMcwBc0oM5LKUnp4WpnO9o2R7CcEMEydapg69UpJsSCobunV7dm7MUGtjY3k5NWWBfuFue533lyHKBYhtHHT1t4Dpih0yZbWKkGkenRP+mnt+szs3Iys4UFQsvOaYWkJt+diDA3V50lN0IpwJdr9hEtlP+G/h5/wUZef0DNBMPyEPtBujSPoKj/EFgC8+QIgCiGw26wafc+pD/wHCJesbV9hLBoMkbdNHFZx7mRwghAB4V3uPjGIRbgKsp8QQPYTXo1wWpmc2JpOCJZ6hGiaprdsK+A0sTRNUbSaYtRAsCDgxG4JRwq+aag7H+4rvQmQ/YQ3I+EMQkJEe8sZc/1+hGiEkNlsqWkU75v1NAAgRqlNGguIwViIjjE8+sCtpYUbCb7uT483O7Kf8GYkvEEoGM9vJ6IdEKJpurDwZEraIG1E+8IiVteTopVACMZEpVKn91IR7OUOk3HnxvUTylyZy/qEdatW1X/yCQD0fu893ahR11vbdvE4IaJzIg4h0mbBI++4x/VfhEAZm2Wu3YMQRQgReIf1YpGmm6Sr8sXdF1xCrHjj+gmDTqh85yFQ7AxCy5Ejlc8+iwUBAMrmzh1w5EiX9bUcx4qBLvzxiuhoAyI6xyocduu0+xdq4t0NiohiVM5ZbADnw6vU3S/4xkbebO5093nrQQEA5s1YtDHKABdYXKZ4LT8hAGACEm0T7tyIfkIAQRQJCZpWFz8heP3lIUR5jlEFzuV+QvC6PJWiAzOjdvoJS+fNI4LgDHbLmTNnFy2svf92dz+hKIpx0TpAyPMXgQOD1XSzXzoNAACEopWcput6c1phoFg1wTwAAkSx2q4GXL8gglC9cGG3iTEEUQAiYjnToYMFXIQVi+5+wpysdKVQbjfVa5NGKw3piJa0nNrTT7hXu94M2H3WTqvATFCXwt9ofkIA6Nm9G8cG6CTypIufUKyuOfjdFy0sojpiQMTYYarX9DIEKwy7+AlxXf3hTV80cZcpmpoqUtN1hHjOIF6D9iCsfvllY2Gh6/uEBqj//5/WthV12Z9wRO5gV1sovVVU6PuaancBEQATSqFjtV1vF1adQLM63tqAKAYQUkrrvdT94x/mf/088Pm3RFGkAJBScfGL9bBjKztnoquMmGCjvoo26BFFm2p2cLqetIQgbPcTzl/e6Sfc9AP9r5+ZxbejDkUR48GDBlAMg0UMkh2MTpx+Qun5BJHsrHRT3WFCCCCpZWz3E773GEKIACCONRUdK1+zgX7lAcrt5uyX1ker0wqCCIAk3qvtfsLXHmAYhvAiYhhLydlzqx+ilz9EU5SzTRIx7tO7h16vFwQBADDGvsd/YPsTglqlzBshaXEzACDEGPrc01rxE8WodD0mek2j6znZWPObaGvW97odSduTtG3HzojpuRCjA0HEBCIjtSOG52gbjN78hM76Y6yNR7VJ4wJW9OYnHKIqLHPuT+imKDgjEBCS6GC8McGONnPjaeejL8Z4bN4gVsJPWnn6CceMHy4crOk9Ps+9+y0IoiCIACAK4uiRA5USDGKefsIx44fbNp/uM3YkUnCuroQoiM4IFERxxPDsCJ2vPrgA9yekKEqrk7zgCyFaFR2V/qDzadNrElqh16dMJUAkLqQGp7svKQopOMJbAYBlmcjoSGtd6xX3YAQicQ7N5SckRisAMDStj4k04vb9Cb2eItHBeGNCsIAFM0IMABACkRFqJGGwyuUnxG0W53OfIdZwoWN/Qi/qhEToNN4cf74rtvsJcZvVpXieQs79CT3784QQnU5F074O5AS8PyFNK+N81LgG6FrbyyBKegQCABEctqMV2GgBhAAh0Wi1FJWTqzyoICRxDs27n/CqD2MSHYw3JohRMsqYjjE2ItWl6eEnNB8sIVfbtYHQyjgpWxh5+gnNB0uIjb/icBrBtDLO90Ev//yEQdyfMPTEznrEUnAKG63AUIihcJvVVnAy6u68UPoJLdsKo+4d3b4/oeesHREV+n7BKu+NA8WoWU0ixjwAYMxLnJn09BMav93buT+h24umKKcip++LJAShp5/Q+L979VOGtu9P6K5IdyhGpCDK10duv/yEwdyfMCxUPP54488bk95dBIQ0PPH+CRVVMnkALVxfP2HdF+uSVs6nDNqG+atP0/jEHdkd+xN2Kk7MH56dla5OmsCoE33/8G4iMG+yNhZZLhZG9JjE6XoiWtJocOOnn5YtfTL+mXs147Pq//R2VWX9/unZjIIjbjMEAi9kZ6VNHDdUET9KEdlH4ih3y7ebzi6cHbN4auT0EXWPv1d7qrJgeg6jdu5P2B4ggiBk9EuZ8ocRXGyuQp9GMb4OYSDX7cDX1h7LyrI3NRGA6Pz8Ppv/JYr4+u1PGBawxXI8O8d87iwB0KWmpR86gDnOs4wsy9A0FZQ5NCKKJwYPNRYVAoAqMSmzqJDodF5m7ViaoUM3axcuCBaC9RVz7v4H6r9aTwHQDJt58ACTke5ZqzRNsSwTrFotX/Cn2jUfUgAIUZkFu7ghg8HjZzQomuL8V/TDT/hvAKVW9/ns07o1awEgYcF8LkLSVpW+gGi6zycfX3j7HQIQ9+BMRczNuTwlSASxke/59mpKqyGEROTlaXNygpXtVejx5gpCMMFYO2hQxMhgridDwVxVICMj4z835VOljMy/E3IQysiEGTkIZWTCjByEMjJhRg5CGZkwIwehjEyYkYNQRibMyEEoIxNm5CCUkQkzchDKyIQZOQhlZMKMHIQyMmFGDkIZmTAjB6GMTJiRg1BGJszIQSgjE2bkIJSRCTNyEMrIhBk5CGVkwowchDIyYUYOQhmZMCMHoYxMmJGDUEYmzMhBKCMTZuQglJEJM3IQysiEGTkIZWTCjH9BePbs2WXLlp0+ffo6XY1X1q9fv3PnzpDJ2Wy2t99+e+PGjSFTbG5uXr58+ZdffhnifUE2bNhQWVkZGq3y8vKXXnpp1apVly5dCo0iIeTDDz/8+OOPQyMHAIcPH37llVeWLl169OhRv070Iwgxxlu3bu3Xr98vv/wiiqJ/FxgoxcXF33zzzZkzZ0IjBwDHjh3T6XSnTp1qaGgIjWJBQUFWVlZZWVnIQgIATCbTypUrW1paQiNXVVWVlpZ2xx13qNUh2g/80KFDLMuaTKaTJ0+GRjElJWXGjBlqtdrh8L4X+pXwIwgdDkdTU9PMmTNbWlrsdrufVxggqampS5YsYZjQ7Zup1+unTZumVCr9rcqAyc/PHzJkyKVLl0JZzJ07d2ZkZFBUiPojFotFr9dHRkZynKTtQX2nsLCwe/fugwYNioiICI1iVFTUgAED1Gp1jp9btfnXEmKMnX+ErCVkGEar1YbyOS0tLU0QBIxxdHR0aBS1Wm1hYaHD4YiNDdHuhW1tbY2NjSNHjkQIXTt1MGhpadm2bds777zT3NwcGsWmpqYtW7Zs3rxZqfR1x1zpHD9+PC4uzt8vGj+CECHk/OKkKCpk36AAEPodFH/44Yfc3FyVShUauSNHjkyZMqVfv37V1dWhUTx8+PCWLVt++umngoKC0Cjm5OS8+uqrqampxcXFoVHkOG7RokWDBg0qLCwMjSIAnDp1Kj093d+z/IgljuO0Wu2BAwfUarVCIWkHcL8ghISs4QWA06dP19TUDB48OGTB//vvvxcXF5vNZpoO0XbZAwcOfPHFFwcMGJCSkhIaxXPnzlVWVvI8H7I+YUpKSktLi8lk0mq1oVG02+3V1dX9+vXz90Q/gpCm6dGjR7/77rsjR44MZe9FrVaH7DkNAIqKigoLC1999VWLxRIaxbFjx65YsSImJqZXr16hUdTr9ZmZmUOGDAmZYlZW1jvvvGM2m/3tLwVMfn7+Z599VlNTM2zYsNAotra2xsfHR0b6vQe7vF22jEyYkSfrZWTCjByEMjJh5v8Ave3lPfXCnHgAAAAASUVORK5CYII=", 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", "info": { "equation": "5*20=100", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
null
ef2c4f92bcc9ebf0a93fe74e0c8e5527de8372a550a99951e5616898b5b65bd0
99
134,489,564
train
2025-09-16T02:27:51.271786
null
{ "env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x1461e2780730>", "max_steps": 500, "abs_size": 336, "master_seed": 42, "max_long_side": 336, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": { "sos_seed": 12, "sos_max_len": 80 }, "enable_reasoning": true, "reasoner_class": null }
{ "render": false, "seed": 134489564, "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 }
{ "step": 2, "reward": 1, "terminated": true, "truncated": false }
[ { "step": 0, "prompt": "You see an image of a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\n\nSymbols (left→right) with indices:\n[0:'8', 1:'/', 2:'8', 3:'=', 4:'4', 5:'8']\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 • src_idx, dst_idx ∈ [0, N−1], with src_idx ≠ dst_idx\n • src_seg, dst_seg ∈ matchstick_puzzles.TOTAL (e.g., {0..12})\n • 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)\n 7 : plus vertical stroke (used by '+')\n 8,9 : multiply diagonals (used by '*'); single {8} or {9} maps to '/'\n 10 : diagonal for divide (if enabled in mapping)\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 <think>…</think> and give the final result in <answer>…</answer>.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('move', [0, 1, 1, 8])</answer>", "action": "('move', [0, 1, 1, 8])", "reward": 0, "image": 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", "info": { "equation": "6*8=48", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." }, { "step": 1, "prompt": "Environment feedback: Action executed successfully.", "vlm_output": "Based on the current state, I need to take the optimal action to solve this task.<answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1, "image": 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", 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", "info": { "equation": "6*8=48", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully." }, "think": "Based on the current state, I need to take the optimal action to solve this task." } ]
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