diff --git "a/matchstick_equation/bfs/train/batch_000009.jsonl" "b/matchstick_equation/bfs/train/batch_000009.jsonl" new file mode 100644--- /dev/null +++ "b/matchstick_equation/bfs/train/batch_000009.jsonl" @@ -0,0 +1,100 @@ +{"episode": 900, "episode_seed": 2902244350, "split": "train", "timestamp": "2025-10-28T03:42:48.521155", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2902244350, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 8, 5, 4])", "action": "('move', [3, 8, 5, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "180/18=10", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "180/18=10", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "555b168efee4c058e4bec8b105efbb2fc36f0195abbdce2c0deda44e74a94bc3"} +{"episode": 901, "episode_seed": 1404930105, "split": "train", "timestamp": "2025-10-28T03:42:48.561370", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1404930105, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [1, 6, 2, 8])", "action": "('move', [1, 6, 2, 8])", "reward": 0.0, "image": 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PB3xN1rQbjwR4xGvWGneI/wC1brWrLU47z7RdJI80jTTJlSzyOS2MHLcYr61pscccS7Yo1UeijFOr6zJcp/sjDypuo5uUnJtq29vN9u5+L43F/XKily2SVrBXgf8AwVF8VfG/wR+wB8UfFX7Ob6gni+y8O79Om0mHfcwQmaMXUsQ6h0tjO4YfMpXcvIFe+U2ckQuV67Tj8q9OvSdahKmnbmTV1urrdehplOOhlma0MZKmqipTjNwl8MlGSfLLylaz8mfy/f8ABLP4l+N/h1+2r4Wu/C3xPu/ClrqzyWXifWLbUobUjTWAllDTTAqgLRRnPXKgDk4P6861afs0fHvxFo2l/Ev466f8T59PuJJtC8PeJ/GNpqlulw0ZDTJZrhJZRHvAZlfarPjGSa0P+Cd37N3wH+DnxZ8AeLfhf8LNK0XU/EngG7l12+tY2Ml43k2MnzF2bA3uzbVwMnpwMexf8FIPgr8KPjhofw98A/FrwHY67o0njGed7C7DKhkj0q+KNlCrZBJ71+UYbKcRV4fqYlV5KMb+5rZ2+f6H7d4h+IuW8Ycd0MbhqEsPFQjBzVnV+1d2Tino3FLnV47tXsue/wCCRIj0z4efEfwb8P2d/hfofxHurb4YSRoptRaNDFLexWkq58+3TUHu0R8sOCAxxx9c14x+wL4V8N+Bf2brTwX4N0O20zSdK8S67a6bp9nHsit4U1W6Coo7AD8T1OSa9nr9IyWm6eUUIt39yP4q/wCGyPx3iXHwzTPa+JhGylLru7JLmk+s525pvrJthRRXEfGr4hw+FNDfQbGRv7R1CErDtA/doThnP6ge/wBK6cdjKOX4WVeq7KK+/sl5vY8ihRniKqpw3Z4j+1V8RfE/jbxRY/Dz4Z3I/tzxDqQ0LwswRHEMjKz3N8UaRQ6QQxzTnB+YRIvVgD9C/Cv4aeFPg58OdF+F3giwFvpeh6fHa2iADcwUfNI5H3ndtzs3VmZmPJNeHfsY+ApfG3jnW/2ltes2W1g+0eHfA0UpU7bSKYLe3gUxhkM9xCEX5jmK2jYYDnP0jXjcOYSqqM8dX/iVnzPyj0X3fp2O3MqsOdUKfww0+fVhRRRX0h5p8Zf8F7/F3xy8Gf8ABNvxXqHwNl1GF7m/tbTxVdaXFulh0aQutySR8yIT5aOw6I7ZwpYj8f8A/gi58U/F3w//AGp7jQ7P4z3ngrwzq+hzt4nvrXWLewWUQoxtlaWYEA+c4wq8nce2cf0i6xpGleINJutB17TYL2xvrZ7e9s7qISRTxOpV43VshlZSQQeCCRXA/s9fsj/s2fso6DqHhn9nj4PaR4VstVu1utSi0+JibiVVCKXeRmYgDoM4GWIALHPyuccPYnMsxhiaddwSVut16Wa3vrqvmfs/CnihlfD3hrmHDVbAqpUxEm4z05feUVed9eany3p2vrba138Z694Y/ZI+PfiAal8WfiroXxRvNN0e6jtovGHi611RNMs2AN1JFEGCQAgJvn2hgET512ive/8AgkvfeJLr9jqxsb+W8m8O6b4k1ax+Hd1fW6xvP4bhunTTnGMb4/JACOfvRqhyQQxxv+ChX7O/wQ/aB+LPw68O/Gj4Z6b4isbDQ9dubO2vg4WKU3GlKXGxlJ+UkYORz0r2L9jC0tbD9lPwDYWNtHBBB4at4oIIUCpGirhVVRwoAAAA4AFefkOBqYPiPEU51XNxirt9b2eur22Wp8nmOd0a/CFLCLmlKU78srclJR59Kerd5815e7BK1rSvdenUUUV90fCHiXx0+Bv7A3jr9oLwd42/aD8N+Abj4k2rQr4LfxBqEMWozmOYvEsMLSKbjbKSVG18MTjk17SbO0JybWP/AL4FfzIf8FX/AIgftC6l/wAFJPiRrnxi1XWLTXtC8XzweGXm3QSWWlwzs2nNb7cbE8kxyqy/eZy+dzE1+pv7N37SU/iD4EeCvFPxh/bx1O38VXnh6zufEFpP8QtPh2XTIGdWiC/Jz1Xt04r4aHGGDw+KrQnQatK14pXdtLy21+8/cuPfC3MeG+GMpx1TMVXVaGkG3andKdqWrvDXVpR1s7e9p+kqqqDaqgAdABS15V+zb4v8R+Mhe6zLrTanpN1Alxa34n82KRn+YGJxlWVlOflOMbcdefVa+qyzHwzPBxxEYuKd9H5Ox+K4rDywtZ0272Cvzj/4OZPFvxx8OfsTaLpfw2m1GHwvq3ihbbx5PYR/KbfZut4pnHKRPMB6BmCKTyAf0cryD9vLw1oPjP8AZT8UeEfFOlx32mapJp9pqFnNnZPDJqFsrocEHBUkcEHmozii6+VVoKVvdeq8tfx2fkfRcEZ7R4Z4uwWaVqKqxpVFJxfXpdX05lfmi+kkmfiP/wAEMPi/4o8G+PPGvg3Vv2gb7wP4Pm0dL2f7P4httOS41MTRxxfPMCXPk+d8q8YAJ/hr7y8e/D79h/41WviPxt8aPH3h34hzxeHxBq/iDxP4ottTuNK05WJUROGC2iiQlgyBSztgk5xX0D/wTv8Agl8JPgZ4m8feAvhF8P8ATtA0dYNIuPsNjGdplf7ZudixLMxCqMknhQOgArhv+Cgv7NfwF+NX7Ql94h+LHwq0nXrzw98M7ObRpr+NiLZzdam5IUMFcFo0OGDD5enJz+aVsqxEOG44t15OOnua2V5W7289j9J4k47wHEniRWzKjTnhYSsuanb2rUYrV2lFXk0rvmdtNJW19y/4Jza58VPEn7D/AMNdZ+NC33/CQzeHE+0PqloILmW3DutrJLGANsj2whdsgHLHIByK9rrnPg8xb4SeFmY5J8OWJJP/AF7pXR1+r4eDpYeEG72SV3u7Ldn4zmeLjj8yrYmMFBVJykox2jzNvlXkr2XkFflNbfFfxNH+wX4u8XeOfiDqkHxdudT1A6zFOIjq0PjMXjfZLCO1OfmEsFtHDCqnNvGhUFfmP6s18B/Hz9nL4F67+1r4x/aB1r4XaXc+NNN+Jfh2Kw8RTozTwKsOiqu0btmQrsA23IzwcgV8nxlh5VcPQkptWmlp/e6+qtp6s+q4NzLK8H7aljaTkrwqJpRbbp837t81rQqc/vNXa5YvklsUP+C+3jX9pfQf+CWum3PhFNRtZtX1HTLT4ovp1uMw2EtrL56SFc+XE135EbbTgh9hO1iD8ef8Guev/GK2/ao8ceG/DsF2/ge68ILP4odbYNBHfRzAWO6Qj5HKvdhVB+YB+DtyP19/bZ0rTtd/ZG+I2h6xZpcWl74Qvbe7t5PuyxPEVZT7EEj8a8l/4J7fAj4O/s+fFPx54N+Cfw707w3plz4f0W6uLTTlbEsxudUXezOzMx2qAMngDjFTjsLL/W3Cy53rF/8Akqf59fmfcZL4j5fgfCTMeHJYKLqVp3U1bltJxd5Lfmhb3LeW3Lr9V0UUV9ofiB8TfHnxjr0X/BRvV/D/AMT/ABHc2Wl2fw3tJPhpYXkiw2d0JJZW1eaIkjzp0MNoHHJji5wFOT4p+zB+0Voer2vjxNR/bd1LSdDtPibq8Pg22Txrp9lGdN3RuWiQrl4vtT3YSQ53oFIJGCf0E/aG/ZY/Z6/av8MWfg39on4UaV4r07Tr37XY2+pI2bebYULo6MrLlWIIBweMg4GOv8O+EvC/hLw/Y+FPDHh6zsNM0yzitNOsLS3VIraCNQkcaKBhVVQAAOABXxmJ4YxlfM6uJhiXBS7Xv6PVaLofdV+JclnksKMcNetywhK6ioRUFbng9ZOdSyc7pWfNrLmXL4V+zN8S9V8dazpsvhT4myeLdLija2u9TXVUvUcIpyXki+QyAkZPBJIzX0NTY444l2xRqo9FGKdXvZRl1XLMO6dSq6jbbu/Ppu/zPj8ZiY4mopRgo6Wsgrw7/gpN4k+KnhD9h74heIvgzeata67baVDm80G3829tLFrqFb6eBcE+bHZm4kUgFlKAgEgV7jR1616Fek61CdNO3MmrrdXVrr0NMrxkcuzOhi5U1UVOcZOL2lyyT5Xvo7Wej0PzE+Pvxl8F+AfEfwM0r4PftAx+G4b7XVtkutE1+0jEvhn7HIJ5GmkLBIt0FuFkB+Z1Kgk8V6j4b+Ivwx8XeKdPtP8AhqY+M9RikkbSNM1DxtaXzRymJ1aSKKLDF/KaRc84Vm47j6c+Bv7GX7LH7NPiDXfFXwH+BugeGNQ8SuG1q60y1KtcYdnCjJIjTc7HYm1enHyjHpS2tqjBktowR0IQV8NR4Oxqw3spYtpO94pNx/8ASlfz0Pps34gyepWpxwNBuMF8c1GM5NtvVR5kuW/Kved0r6X5Vxn7PHglvAPwuttHkE4e61C+1CRLkAMjXV1LcFcYGADJgA84xnJrt6KK+3wtBYXDQop3UUl9ysfH1ajq1ZTfVthXI/Eb4RaX8Q9QtdSuNTltZIF8uUxRhvMjyTjnoQScHkcng111FTi8HhsdQdGvHmi+np6Do1qtCfPTdmR2dpBYWkVjaxhIoY1jjUdlAwB+QqSiiuhJRVkZNtu7CiiimAUUUUAeQ/tMaFLda/oPiKPRBLJaW9xbW92iMzr5zws8XHGGMMRHcleK7b4J+CU+HHwk8PeBo5JmGmaVFDm4I38DnOABnn0rqKK8rD5XHD5pWxvO26iSt2su/wAjqqYp1MLCjb4b6+oUUUV6pynmXxR/Y0/Za+NXxX0L45fFb4H6Drvi3w15X9ia5f2xaa28qQyxjggOEkJZQ4YAk4xmvSTZ2hOTax/98CpKKiNKnCTlGKTe+m/r3OqvjsbiqVOlWqylGmrRTk2ore0U3aKvrZWEVVQbVUADoAKWiirOUK+U/wDgp/4q8R+Hbj4Q2Wq67d6V8Pr74hAeO7+Fljt98dvJLpsV1KSPKt3vUhBJIVmCKTyA31ZWN8Q/h74I+LHgfVfhr8SfDFnrWg63ZPaarpd/EHiuYXGGVh+oIwQQCCCAa4sywk8dgalCMuVyVr/106PyPXyLH4fLM1p4ivDnguZNaXtKLjzRvpzRvzRvpzJH5x698ddN0P8Abr1XwXYftR3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", "info": {"equation": "20*4=80", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "20*4=80", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "bf3bee89b266008aa2fbb13d7bcea75d83e31988ea769bb22ad01f6df646f298"} +{"episode": 902, "episode_seed": 192037349, "split": "train", "timestamp": "2025-10-28T03:42:48.608315", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 192037349, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 0, 8, 5])", "action": "('move', [3, 0, 8, 5])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "11*19=209", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "11*19=209", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "ea9b3794f23f6cd51ab3b7eaa6f13cbef0ff6e084672127a09224be24d4b9912"} +{"episode": 903, "episode_seed": 2187003616, "split": "train", "timestamp": "2025-10-28T03:42:48.655566", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2187003616, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 0, 1, 4])", "action": "('move', [0, 0, 1, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "18*15=270", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", "info": {"equation": "18*15=270", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "79061660216172fb38d0c6da67c05313460caec56a4a3ec60dadb51751c3ea28"} +{"episode": 904, "episode_seed": 1474478025, "split": "train", "timestamp": "2025-10-28T03:42:48.689045", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1474478025, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 1, 1, 8])", "action": "('move', [0, 1, 1, 8])", "reward": 0.0, "image": 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", 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", "info": {"equation": "6*4=24", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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/oSl4qZVHwajw08vTqxly83u8nxc3tO/tOm1vtc32Tw3UPDf7K3x88b6Ze/EX4r6R8VdY063mTQtP8VeK7TWFs1ZSZnhtAfL3FQNzlGYBF5G0V6F/wSK1PU4p/i14F+H2oXN78HPDviiztvhbclxLZws1uzala2M+5jNaxXG0IQWVSzgMTuC63/BRz4A/Bj4+/FD4aeEPjJ8OtP8AEGmW2jeIbuCzvN6qk6yaWgcGNlOdruOuPm6dK9B/4J4eEvDHgL4A3fgnwVoNrpekaT411u103TrKIJFbwreyBUUDoP1JJJySTWmT4CrhOK5051XNxhdt/aukrPV7X79Efn2Iz6g+DJYW85SqNRUJW9nSUZ8/NT95vndnH4YJRnUV5cx7rRRRX6GfngVy/wAYbPw/deAb1vEL7EiUNbyqgZ1l6LtB6knj6E107ukaGSRwqqMszHAA9a+bf2pvj/YW3h+68Q2Gm3t/p+kRA2mnWsWZ9SvHYRxQxAAnfJI6RJ2y+eleDxFmFDBZdKE0pSqJxjHu3p9yv+S6nfl2HqV8SmtFHVvseD/tDfEPwtceItJ+DHiaW6j8OXl1ZXPxQ1SyWJhpehS3HkhZS80ZiW4mCxu4DFLcXD4+UGv0D0rTdL0bS7bSNEsLe0srS3SGztbSJY4oYlUKiIqgBVCgAAcAAAV8vaB+yJffDH4MTeIvH8dtq3ijxPI158SWYpNBPNLEsQt48RoGt4YlWBQVGUXcQSzE9v8AsO6h4q8MfD9/gj4v1A30Xhc+R4W1WS5R5bnSQStvDKAiETQIFiY4YOoR95ZnC+Dwy3k+Lll+JiozmlJPvpt8tfmmehmaWMorEUneKumu3n/Xke5UUUV94eAFfzL/APBZXxp+0L4t/wCCiPxGtP2hZtTWbSPEF1ZeE7S/h8uODQlnkNiYFHy+W8JWTcPvs7M3zE4/poryv9oX9iD9k39q7WdK8Q/tE/AnQvFd/okTxaZd6lC3mRRswYxlkZS6bhkK2QCWwBubPg8Q5RWzjCKlTnytO+uz9bfgfrXg/wCImXeHHEVTHY3DOtCcHC8bc8Nb3jzWVna0ldaa30s/zO/4JS/tD+I9S/Y30a1+M/7Zeq+HJtMvpdP8O6SfGtjY+TpMEcUcAETrvChhKoLckKOowT6f8Rfg9/wT++IHgfxz8Rfilrvhfxd9tt1l8X+OtZ8QW+pajAwUi3xdF8wMuAsUSbFfaqbWHB/S2z0bSNOs4dO0/SraC3t4ligghgVUjRRhVVQMAAAAAcACvz2/bE/ZV/Zz+KPx0+NXxY+Inwe0bWfEWjRxLpmp30Ts0Ai8PWcsY2btjbXZmG5TyfpXxef5Fisuy+M6mJlUV0lF3stHqveexnguLsJmfFuJzCMJYSNWUp2oWv8AEpKG8Fa9m5a2klJQex9S/wDBOHxF8avFf7D3w48QftDQ36eLbnQc6gdUsxb3UkIlkW2kmjAG2R7YQuwIB3McgHIHttZHw+Zm8BaGzMSTpFsSSev7pa16/TMPTdKhCDd7JK73dlu/U/N8zxccwzKtio01TVScpKEfhjzNvlj5RvZeSCua+MnhL4UeOfhV4g8K/HTTNIvPB93pUw8Rw68yLZi0ClpHlZyBGqhd+/I2FQwIIBHS1+Xf/B0J41/aG8O/s8+BfDfw+m1SDwBrWrXsfj+exh/dPOn2ZrCCeQcqjH7SwU/KzRrnlVFcuaYyOAy+pXlHmUVt3vp92uvkfQcB8O1uLOL8HlVKuqEqk9KjduXlTldbe97toK6vKyutz7o/ZA+EX7F3wv8Ah1eWX7FOieDI/DV5qjSX9x4O1CK9hmu1RAQ8yPJudU2fKW+UEcDPPrC2lqrBltowR0IQV/N5/wAEYfjd8Tfh/wDtIyeAdO+POqeC/BGr2Fxd+K2ttegsYHkhgcWzl58qH810X5fmYHByoOP1q8DfH3wjB4hjstG/bQn8QXd+ptbfS7vx7Z3XnM5GAkcYDGTjA288mvk8NxpgaeGSdCUWukUuX5ar8j67xO8PcfwpxdUwlXG/WXJRnzybc3zaWne/vK3d3jyvS9l9u0Vx3wP1DxTqXgsT+J2lciYi0luM75IsDBOeo64Pcc812NfZ4LFRxuFhXSaUlez3PyitSdGq4N3sFcT+0pqnxQ0P9nbx5rXwQspLnxnaeDdTm8JW8VusrS6mtrI1soRvlcmUIAp4OcGu2oreceeDje1+pWFrLD4mFVxUlFp8r1Ts72fk9n5H8kKfFn42eH/jc3xm/wCE21208f22vtqEmuyzuuoJqIkLNIzN83mb8gg+4IxxX7m/DP4+6bqHw08O33xC/b51S38QT6BZya9B/wALJ05PKvWgQzrtVSFxIXGBwMYFY/iv9lr9neX4j+Kf2h5/hDpEnjcfGe7ceI5Y3adWHifyVYAsUDCMBQwXI65zzX6S/Y7P/n1j/wC/Yr8wyPJcVi51408VKnyTadr6+b95H754ueKeU8bUsAsPgFT9nB3cuW6bt7kbL4I20vZtv4Y21+V/2fvAPhHx1q/gq78AX0Vx4f8ADN9Hfabd6TcpPbMkME1uieaNysvzsODklevBr6spERI12xoFA6ADFLX3OSZQsmwroqfPdt3tbstrvt3PwjG4t4yqp8trKwUUUV7Bxn8/H/ByD40/aF1X9vu78F/EyXU4/BGlaTaSfDm2mh2WkkElrCbuaIjiRzdCVGY/MBGi9Aue/wD+CJXx58WWPwG8Q+CviR+1VqXg/wAOaJq0Ufg/TE8V2enJmXzprsqso3uPMeM7jwC5APUD9hf2iP2T/wBnL9rLw/YeF/2jPhFpPiyy0u8N1p0epRtutpSpRijoVZQQeVBw2FJBKjHU+Bfhz4E+GXg3TPh58P8AwlYaRomjWSWml6ZY26pFbQoMKij+vUnJOSa+Jr8K4yrmlXEwxLgpapq/Nr03Wi6a9Fofveb+MGT5l4WYThaOXJVaXInL3eRcn24aN+0qfbbS+KerufAGq/Dr9iz406/rHjb4n+MvDHxM1RNBaDVNX8X+KLbVJNO0teWCncFs4QSWMqBCGZjvBNe4/wDBHrVPGl/+yLLp+sSahN4V0rxlqmn/AAsvNTtFiluvC8Toti4wBvjH71Y3I+aNEIyu1jyP7bH7L37Pf7Qn7YCSfGv4TaV4jOj/AA+0k6b9vVwIPM1DU9+AjKGDeWmQ2R8v1r6B/Yet7ez/AGRfh7Z2dvHDDD4Zt44YYkCpGijCqqjgAAAADgAVy8O4KpheI8RCVRycFq39q9nrq9j4bNs9o1uEKWEvOcpyi7TtyUlDmSVL3m3zJ+87QSStyy0a9Vooor9APz0+Jv2zPGHie0/4KKeB/CvxK8Q3mneBk+H8l34DhnZYdP1HxQ91Nb3SNISPNuUsnhEURJOJ5SqkliPEbT9oTTrP9vPxl4N0L9rK68N+E4PBNnN4gh0/xRY2VtH4hWcQLEsjgs8gtY8SICdjJhgpwD+jHxx+AXwa/aV+H8/ws+O/w703xPoFxcRTyabqcRZRLG25JFYEMjDkblIOGYdGILvg18B/g5+z18PrP4V/BX4daZ4c8P2LyPbaZp0GEV3Ys7knLMxJJLMSenPAr43G8MYzFZtPFQxDgmul+ZeS1Wnz8rdT7+nxPkUMjjSlhnKuoeztaPs7Xv7W/wAXtHquXl+J8/Pb3D5E8IeOvhd4v8ZW0tr+0injfW4rSeHTIL/xja381vE5R5xDHFggN5MZY4PEQ6YOfqr9m34fv8O/hu9hKLhZdS1m+1SaO5ADRvcTtKVxgYA3cA8+td2ltbRtujt0U+oQCn125Tw/PLcbLFVK7qSatqvTrd32Vj5PF5isTQVKMFFJ30/4ZBRRRX0p5g2aGK4he3nQMkilXU9wRgiuI8HfAvQ/CHif/hI49UmuBESbOCSMDyiQQSSPvHnjgY967miuTEYDB4urTq1YJyg7xfZ/13NqeIrUoSjB2Utyrrmj2fiDSLnRL9SYbqFo5MdQCOo9x1rmPh18HtL+H+pT6umqSXk8imOJnjCiOMkHHBOTxyeB7Cuxooq4DB18TDEVIJzhs+39eewQr1qdJ04vR7oKKKK6zEKKKKACvmz47/DCTxN468UaDDoElvL4viaG4uLONi1zutEtvNBORuWJUB4wNgyOtfSdFeRnWUxzjDRoubilJPRXva+n4nZgsW8HVc1G+lipoGlpomg2WixuzLZ2kcCsxGSEULk4+lW6KK9ZKyscYVifEj4beA/jB4E1X4Y/E/wpZa5oGt2bWuq6VqEIeK4ibqCOxBwQwwVIBBBANbdFEoxkmmrpl0qtWhVjUpycZRaaadmmtU01s10Z5/8As/8A7Kv7O37K/ha78F/s+fCPSPC2m316bu9t9OhOZ5toXe7uWZsKoABOB2xk13i2lqrBltowR0IQVJRU06dOlBQgkkui0RrisXisdiJYjE1JTqS1cpNyk35t3b+YUUUVZzhXE/tK6p8UtD/Z08e618D7F7rxpZ+DdTm8I20UCytLqa2sjWqBG+VyZgg2ng5wa7aipnHng43tfqb4WssPiYVXFSUWnyvZ2d7Pyez8j8rPEvxc+Gfhb/gmfeeMrL413UWof8I08y67d38b6vJ4pJ+2MkiSZP237bl3hK7lG47QBx6D8MPj7p+o/DLw5f8AxF/b51O38Q3Hh+yk1+AfEnTk8q+aBDOu1QQuJC4wOBjAr64t/wBhD9j20/aBf9qe2/Z78OJ8QJLtrp/Eq2h877Q0fltNtz5YkK5y4XcSS2dxJr1b7HZ/8+sf/fsV8JheEMwoc1sW43f2b6+b1Wv3+p9xnvE2RYumo4PDtuUnOUqiinFy/wCXceW94R1fM+XmbXuQtr4d+zx8RvEfj/xFa63oPi86/o13CTNfwXi3Fu6qCodXQlM7lI+U8kN3HHutIiJGu2NAoHQAYpa+pyjLqmWYV0p1XUbbd359N3677tnxWLxMcVV51FR0tZBRRRXqHKFFFFAHhv7QXhqVfijD4rg8PZuLnS7eyS9hjZmnSOWWRIjjjKvLIQBz85616N8C/AMfwu+D3hz4fRSzONJ0qKDdcEFzgZ+bAAzz6V1lFePg8ojhMyrYznbdTpbb59fLY7K2MdbDQo8tuX8Qooor2DjCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooA+dP20v+CqP7G37BHinS/Avx/8AGmr/ANu6ppM+rLo3hnwzeatc2mmQnE2oXKWsbm3tkOQZXwvB9DXuHw1+JPgP4x/D7Rfit8LvFVnrnhzxFpkOoaJrGny74by2lQPHIh9CpHXkdCAa/Lr/AIKS+GPjL+zL/wAFSPiL+1nc/sz+P/iN4O+LX7JGofDrw1N4A8LTaxJZa/8AaTIlpdRwgm3glGD5zfICxz0NfY3/AARt/Z2+Kf7KH/BMT4N/AH42WLWfirQPCKLrWnvKHaylllkn+zkqSC0YkCHBIBUgUAfTVFFFABRRRQByvxu+NHw9/Z4+FOt/Gn4q6tNZeH/D9p9o1G4trGW5lCllRVSKFWkkdmZVCqpJLCuO/Yr/AG2fgR+378Fv+F+fs66lqtz4eGs3elO2s6PNYXCXVswWZGhmAddrHHI659K7P41fFjQfgX8LdZ+LXifQNf1Sw0O1Fxc6f4X0GfU9QmXeq4htbdWlmbLA7VUnAJ6A1+fX/BtR491jRv2bfGH7PXjv4JfEvwj4htviN4h8T58a/DzUdJtZ7C+vy1v5U9zEiSSlSC0akso6igD9LaKKKACiiigAr5Yvv+Cyv7COj/tJad+y/wCI/G3iPSNa1jxRJ4b0bXdY8Eala6HqGrxv5b2UGoywrbyyiT5PlYjdxmvqevyD/aY/aOv/ANuz/gqd4Z+GP7T/AOzd8bPDfwS+BPxDt7rwVY6X8GNYvV8c+KIpmhj1K5vYrcxWumQN8yYb96rb2YKxCgH6+UUUUAFFFFABXjf7Xv7dPwO/Ym0bTNV+L9j4u1CXWPtDWOmeC/BV/rd2YoEDzzvFZxOY4o1ZS0j7VGRzXslfHn/BYfxx8LV+Ctr8G/jJ8M/2jdR0bxFDdXNvr37POn6jLdW93DEY0tLl9ObzVSYTsQkimBzH85G0UAfQH7K37VHwN/bT+Beh/tH/ALOXjVNf8JeII5G07UFt3hbdHI0ckbxyAMjo6srKRwRXodfGf/BAP4XftFfBj/gld8N/hr+058O/+EV8QaWl6llok+nxWt1BppupGtDdRxAKtw0ZDOSNxJy3zE19mUAFFFFABRRXl/7a1j+0fqv7JnxC0n9kFrNfibeeFrq38Ey39ysMUV/ImxJC7kKpXcWBPG5RmgDkv2e/+CmP7If7Uv7U3xE/Y7+CHxAuNa8Z/C1T/wAJekWmyCzgZZVhdI7gjZKySkowUnDKw7Gvfa/Gn/gjH+zt+2P+y/8A8FcfFPhXxn/wT5n+H3hJfgVomhavrh8cf2rarJbnzTfLfrZxR6leXVwWeaJCrRGVmJYDFfstQAUUUUAFFFFAHy78av8Agrn+y/8ABD9orXv2WtS8E/FXxN4u8L21hceILbwF8KtV1yHT472MyWzSy2cLqgdVbGcfcYfwnH1DG4kRZACAwBAYYNfjh/wWN+HGv6P+0T8RviR+xB8Of2u9H/ag8SX/AIbt/CmueArO8i8HaxFaiJUa5mh/0SS3SJ7lWW7O9ZCcAIxz+vHw+HjAeAdDHxDMB8QDR7b+3Da48r7Z5S+dsxxt8zdj2oA2KKKKAP/Z", 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"info": {"equation": "6*4=24", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "a84e7887f07114dd3d532d6d5abef9770040c919abe8c88c85e5464a509a3d14"} +{"episode": 905, "episode_seed": 4048963269, "split": "train", "timestamp": "2025-10-28T03:42:48.730784", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4048963269, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [1, 1, 0, 4])", "action": "('move', [1, 1, 0, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "65-40=25", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "65-40=25", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "535b437644ff6bba2dc1e75fba33e847f326f05713da4e514ff2522f5e402b7b"} +{"episode": 906, "episode_seed": 2766043664, "split": "train", "timestamp": "2025-10-28T03:42:48.767627", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2766043664, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [5, 5, 1, 8])", "action": "('move', [5, 5, 1, 8])", "reward": 0.0, "image": 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", 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", "info": {"equation": "2*16=32", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "2*16=32", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "5ed39e9b0fd49273f9e1c807d40d2c8ea230dc0532a4f4dad7819f93ce23cdb6"} +{"episode": 907, "episode_seed": 2352705429, "split": "train", "timestamp": "2025-10-28T03:42:48.809089", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2352705429, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 5, 3, 8])", "action": "('move', [6, 5, 3, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "2+6*5=32", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "2+6*5=32", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "8c23448c1ed2e9c39d5d05ee68673ea7a154d2ac19bc6234dd2a2f731648db21"} +{"episode": 908, "episode_seed": 1220685534, "split": "train", "timestamp": "2025-10-28T03:42:48.850160", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1220685534, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 0, 6, 4])", "action": "('move', [4, 0, 6, 4])", "reward": 0.0, "image": 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", 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", "info": {"equation": "11+51=62", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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2dJtyn2qUCbaTknCrvfagwq7mwBk16P8AsdRoPhReSBBuPi7Wctjk/wCnTV+bYTh3E0c3jhHXaahzXjfbn+Far19eh+reJnH2X8cZ1POMLhfZwajC0rczcY/FK11fXlWvwxjr0PVqKKK/Tj8bPzS/4OevFHxl0T9jrwrofgeW/i8J6v4t8nxtJZx/u3CR+ZaRTMOVjMqswH3S8aZ5Cg/L3/BD7406tofwK8VeEPHH7UeoeC9D07X4m8OabF4rtNOR3ljdrp1WUb35EOT0BOBzmv2h+O/hD4L+PPhDr/hT9oiw0W58FXdif+Eij8QzpFZCBWD75XdlEYVlVg+RtKggggGoPgH4E+A/gX4QaF4W/Zz0jQIPBVtaE+H08OypNZtEzs5eORSwkDOzMW3HJJJJNfJZlw/icdmzxNPEuneKWl7q3bVaPf1P2HC+ImBw/hJ/qxLAc0/bc/tbLl35r3tf2lvc/wCvfXofBWk+F/g34F+NXwl+Iv7MOpWV7478RfFiC3vPEGiX0WoX/iLT7iUtrv22YMxuIUtw8zs2RDJFDt2EgH9Ka+Ivgn8Avgv4V/blh+N/h34b6baeLtb+Jfie31TX40YzzxCPVRs5JCj91HnaBnYM5r7dp8I0JUMJWTk3apJa+Vtfn1PjuLc0p5j9VhGUpuFPWU/ibk2+Vay9yH2bu7blK0b8qKKKK+sPjz5N/wCC33if4xeEv+CaPxG1X4KS38WoNa28GrT6bHuli0uSdEvGyOVXyS4ZhyqFjwASPz8/4NX9a+K0fx5+Jnh3TYLpvA8vhOC41iQWwMKaotyi2gMnVXML3mFH3gpJ+6K/YH9pCCG5/Z38e21xGHjk8F6orow4YG0lBBrwv/gnH8C/hB8APE/jbwj8GPh9p/h3TbnRtDu7m1sFbEs7SakpkZnZmY4VRyeAOK+TzDDyfFWEnzPWMtP8Kb/G+p+vcP8AHeByvwpzPh2eEUqlepGSqaWSfL8XW8OW8LdZPa2v1RRRRX1h+Qnj+qfBv9iS8/a9svinq/h7wQ3xqTR82M819CNZNmI3i81bcvuZRH5iebsJCgruwMD1xbW1RgyW0YI6EIK/mL/aR+Mf7VOg/wDBULxT8TvEHi/WtG+JOnfEWeC1v3kW3nskWUwQRpu+RIhblEUH5DGecqST+zngn46eEz4mjsNB/bOuvEN3eBre30m48e2d15zN/cjjAcvxxtOetfCw4ywdCVWMqDT5ntbXzltZ99z9o8RfDTMOFqGWTq49YhVqKau2+S1nyw1f7v3vcel/e0R9uUVi/Dy51u88E6bdeIg/2x7cGYyDDHk4LA9CRgn3rar7WhVVehGolbmSdnurq+p+NVIezm49nY8l/by8QfFzwr+xl8TfEnwHF5/wl9l4MvptBbTofMuEnERO6Je7qNxXAJyBgE4Ffz+f8Eefij4w8Eftm2/2f4x3vhDSNa0e9j8V6vDrMNmZYViaWNXmnBAzcrD0+Yk+hNf0u18Q/wDBN/8AZ/8Agr8I/ivp3iL4bfDXTNHv/E3w6urvX7u2jYyXs32jTW3OXJx80jnAwMseK+Q4lwVTF5rhIwquDlzJNdLK91qtXsfr/AvH2A4b4EznKK2DVWeJUeWTtZXXL719fc+OFr2nfbc8w+L3h39jv4o+GvE/xL+KPxf07xrqej+F2H/CUap4st9Qv9At43MkUlmyMPssguCrIyAO8mxSWyFr7t/ZP1f4n+IP2YPh3rvxrguY/GF54K0ybxRHe2whmW/a1jM4kjAAR/MLZUAYORXzL/wUj/Z/+CnxY+K1x4p+JPw00zWtQ8L/AA0kutAuL2Nj9im866beqghWO6ND8wI+UcV9q2JLWULMSSYlyT9KfDeDqYPNcXTnUc3HlTb63Td3q9VsfIZ3nFLF8OYTDLmbvKXvWtTS91Qp6t2lpKekdVFKPu3ctfnV/wAHMPif4xaB+whpmnfDya/i8P6r4wt7bxvLZR5U2nlu8KTMOVja4WL2LBFPUA/orXkX7dfhLw348/Zd8Q+CvGOjxahpWq3mlWuo2M+dk8L6naq6HBBwQSOCDX0Oc0nWyqvBO3uv8Ff8djl4Izyjw3xdgszrUlVjSqRk4vqr9L6cy3j/AHkj8gv+CHXxz8T6R8KPGHgXx3+1Rqng7wzpOqWz+GNNXxba2EXnTCZrsoswLEZELED5QWJHLNX6Y/sw6H4R+IHi/Q/Efgzxv/wkVpo+sXOo3Wt22qRXv2m6aCeJ/OmTKlz9oJIGDwO1dP8A8E9PhT8N/hD8NvFfw9+GXguw0XRNP8at9j06ziwke/TdPdjliSSWZiSSTk19ARxxxLtijVR6KMV8nk3D1avQw2KniZOK5ZqFtFbVJe9p92x7viBxfheJOK8dj8PhlSjWk7LS9rKN5WXxStzS1fvN6vcdRRRX3x+chWF8UNHXxD8ONd0CTTEvUvtJnt5bRwcTI8ZVl45OVJHFbtFZ1qftaUoXtdNX9SoS5JqXY8m/Zg8GyaVLr3jaYTq2rfZbYLIuFK2/nHcvGeszAnp8vbBr1miiuXLcEsuwMMMpX5VvtfW5ria7xNeVRq1woooruMDzj9pjR/7U8I6ddtpa3A0/VhcpLglrdzDLFvGPVZXUk8fPWx8CPBzeA/hXpnh1/ODb7m6dZwA6tcXElwVIAGMGUgDqAOea6+ivNp5coZrPG8zblFRt2s7/ANfM6ZYlywqoW2d7hRRRXpHMcD+0doq6z8PUZ9LW5FnqUN0GIJMBTdiQY9M454wTU37O/g9vBnwyhsnEwe91C8v5EnGGUzzvLjGBgfNxnnFdx160V5scuSzZ47m1cOS3zve50vEt4RULdb3+Vgooor0jmPzS/wCDnrxT8ZdE/Y68K6H4Hlv4vCer+LfJ8bSWcf7twkfmWkUzDkRmVWYA/KXjTPIUH5j/AOCI3x28R6f8BvEngv4h/tX6t4Q0HRdaiTwppX/CX2thGvmrJLdeWkwLFd7RscfKGdsclq/an4p/Cv4d/G74f6p8Kviz4Qs9e8O61biHVNJv490VwgYMAcYIIZVYEEEFQQQQDUXwq+Dnwu+B/wAP9N+Ffwl8DafoPh7R4mj03SrGHEUCs7O2M5JJZmYkkkliSSTXymZcO4vHZo8VTxDppxS0vdW6LVaPfffofr2F8Scsw/hT/qpLBKVX23tPaaWtfm5tr+0/5d7W9n16HgX7LGg+FfG/jDQfFvgzxd/b1hot/e38mtWupR3i3V1LDcRStLMmVZ2a5kYgYO4dAARX1FSJHHEu2NAo9FGKWvVyfK/7Jwroubm3Jybatq7eb7dz8sxmK+t1VPltZWsFFFFeschj/ELSl13wFrWhyacl4l7pVxBJaSZ2zK8bKyHHPIJHHrXnX7L3gx9Kv9f8ZyxTxnULeysVSRcLttmuWyOM5zcMDzj5QOCDXrtFebXy5VszpYxy/hqSt35tP6+R0wxLhhZ0bfE1r6BRRRXpHMed3/7Jn7N2p/tAW/7VGofBzRZviFa2f2W38VPbk3KReW0XrtLeWzJvI3bTtzgAV6AtraowZLaMEdCEFSUVEKdOnflSV3d26vu/M6cRjMXi1BV6kp8kVGPM2+WK2ir7RV3ZLRBRRRVnMeUft0698UvC/wCx38SfEPwVe/TxRZ+EbyXSJdKg826icRndJCmDulVNzKACdwGATgV8O+PvjN4E8F/E74H+Hvhb+0i/hzSb7RdSW9vdL8RWkPn6Ctghhllnl3bc3cNqqkHLsJRztbH6c1518FP2SP2av2ctY8Q+IPgd8GdD8M3niu8F14gn0y22m8kDOy5ySFUNI5CLhRuOAK+azrI8TmmLpVaVZw5E11ur9VZrXo9VofYZJnuVZflNWhiaHPU99w0jaTnBQ99vVKnbnhZS96692/MvmLwfL4C+NF1qvhXw78dJPHOq6tpn2C5uD4nt9RurW1feoCiIYRA0jNkrjJ5PavuCCIQwJCDkIgXn2FJHbwRHdFCin1VQKfXTk2TTyqVWU6rqSna7a7X83fc+dxuNWLUUocqjfbz+4K+Yv+ClHiXX9AHwmtb3W7rTfBl78SIk8YXcRCQFktJ5dPiuZCR5cL3yW45IDOI1J+YA/TtYfxK+GvgP4xeA9V+GHxP8K2mt+H9bs2tdV0q/j3RXETdVI6g5AIIwQQCCCAa78yws8dgalCMuVyVr/wBdO/kb5JjsPl2aU69eHNBXTWjdpRcbxvpzRvzRvpzJH52eGfj5o1r+1J8U/CbftdXvhjQNNTRfLsLTxZZWECau1vKl6ilwWkZYobIOCTscsvBBA+rv2VfiPf8AjnVbRvDXxQk8X6RBbyQXeq/2tHeqxQEjfLF8hkDMB2ODz0r1b4P/AAO+EfwA+Hth8KPg14A07w94d0zzPsOlWEOI4i7tI5+bJYs7MxJJJJrqY444l2xRqo9FGK+bwHDGMwtSlOeLk1Bp8qvbTove26bbdD0s5zrL8Zian1WhywaUU3ZSfLFR5pJXSlK3M0pO0n8T3bqKKK+xPmAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK5D4+fHf4V/sxfBvxD8ffjb4qi0Twr4W05r3WdSlRn8qMEABVUFndmKoqKCWZlABJrr6+Tf+C3vwV+J/x5/4Js+OPB3we8JXniHXNP1PQtei8O6dHvuNUg03WLO+ntok/jkaG3k2p1Zgqjk0Aeyfsl/tefA/9tf4UH4w/AbXb2602DVrnS9TstW0qawvtMv7dgs1rdW06rJBKuVJRgDh1PQivTq+Lv8Agjb4W8f6hB+0F+0v4r+GviTwfo/xj+Peo+JvBugeLtIk0/URpgsbK0S5ntZMPbvLJbSNscBtoUnqK+0aACiiigDxv9sr9vH9nP8AYN8L6B4t/aJ1/U7K18S67FpOkrpWh3F873EjKoLiFGEUYLoC7kLl1HJIFeyV8Mf8HCPizUrX/gn/AHPw18NfCzx14r1rxP4v0FtNsfBHgu91h41stXsr2d5haxuYV8mCQqzYDMAo5NfZXwx+IGlfFf4c6H8TdC0rVrCy8QaVBqFpZa9pUtjewRyxh1Se3mCyQSgHDRuAykEEAigDdooooAK8C+JX/BS/9k34RftWaF+xz8QvFOtad4s8Rajbabpt7N4Wvf7IbUbmEzW9g2o+V9mF1JGAyxb92CM4zXvtfnH+3d8a7/41f8FXPhD+yj8U/gr8Urf4V/DDxJpPi5fEPh74ZanqVj4m8XSHZpsL3sELQ2ljZCczzyu3MmEbasbNQB+jlFFFABRRRQB4F+zt/wAFLP2Vf2oPj94i/Zm+GOu+IYvF3hzTH1N7HxD4RvtMTUtPS5Nq17ZSXMSLd24mGzzY8qSRjI5r32vzV/YO0rxT8QP+C0nxE/aT+GPwU+NOgeCtY+FE1h8QLv416Pcw/YvEQ1cSwWGjPdFitoIjO7R2zG2zsK9q/SqgAooooAjurq2sbWS9vbhIoYYy8ssjAKigZLEnoAOc15T+xj+21+z3+338IZ/jp+zN4oudZ8Mwa/eaONQudPktvNuLZlWQosgBZPmBVxwQaxP+Cl/w/wD2hfix+w78QPhd+y5okOpeMPEemRabb6fNriaYbmymuYo7+JLt1ZbeRrNrlUkKttZlO0kYr56/4N8vBXx7+G37P3xc8D/G39ld/hRBD8f/ABRdeHtDbVDcp9nmustFATBF5ltCVWOK5UFLhAJFCjigD76ooooAK8a/bE/bp+Cv7EOm+F734u6R4v1O58Za1LpXhzSPBHhC71u+vLmO2kuXVbe0R5CFhikckDgKT2r2Wvh3/guR4I+Gnif4M+FfEXjnwT+0Bf6x4evNVvPAusfs+Wt2+o6Xrb6dLbwNO9n+/ijkEzoGH7s/MJCFOCAfZngHxlp3xE8DaN8QNI07UrO01zSre/trTWNOks7uGOaNZFSeCUCSGUBgGjcBlYEEAg1rV5J+wSn7Qkf7FHwpT9rBrg/EoeAtL/4Tc3hUz/2l9mTzvN2/L5u7O/HG/dXrdABRRRQB4j8bP+Chn7MXwC/aG8M/st+OvEesT+M/E8EFzHp2heGrzUU0u1nuPs0F1fy28bpYwST5jWSUqpYHnAzXt1fjz/wUR+AX7ZHgv/gsbqnxq/Z/0r4wrrnxAHw7T4cav4HFz/wjPlWGovFrttr7R/uViSyeWVEn+U/aGKZfp+w1ABRRRQAV81/Av/gqp+zR8fv2nm/ZB8OeFviTofjc6Te6nb2XjT4balo8N1Z2kqxTTxS3USLJHvdQGXIJYYPNfSlfHn7JvgLxz8Vf+Cpv7RP7X/xB8Gavpml+GdN0f4XfDOXWNOlt/tVjbR/2jql1B5ijzIZb25RFlTKv9lOCcUAfYdFFFAH/2Q==", "info": {"equation": "11+51=62", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "3f15726fdc22bf44c39b3e9167089f2db251247fc7c8a8cda70826777ff03acf"} +{"episode": 909, "episode_seed": 4118824372, "split": "train", "timestamp": "2025-10-28T03:42:48.878176", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4118824372, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 6, 1, 8])", "action": "('move', [0, 6, 1, 8])", "reward": 0.0, "image": 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"info": {"equation": "0*8=0", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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b51KPKnK8bKFS/wBhWumua3NL3Xc/Rr9inXvjb4n/AGTfh/4h/aQsbi28dXnhm2k8Tw3losEy3RX5t8a8I2MEjAwSeB0r1Ciiv0ClB06UYN3skrvd+bP58x2JjjMbVxEYKCnKUuWOkY3bfLFdEtl5BRRRWhyhXiP7Q1h4atfFcUmktt1CaINfwxINnJOGJByHPcY5GDx39E+JvxQ0rwDZG2+aXUJ4WNrAnQdgzHsM/ng4r5N8b6b4/wD2i/inB+zd4Jv7y1l1q0/tP4g+KLdxE2k6K8pidI2aJ1N1dESxRLgFVjmkyPLGfieKMXTx0o5XQip1ZNX/ALv/AAbfh6o9zKqMqCeKqO0Uvv8A6/M47wH47+GH7QX7V3hLwx8T7eRvhpZ+ILiz8M3NxBbvpnijxXarKRBPIZiTBEFdrdPL2z3MDZb91Esn6G18q/Hr9kz4faH8PF+DUGgCDwZcadHZaZDaKqvYeUFMZjO3EcqMqyI+M7lz1Br1D9kP4g/EnxJ8OovCHxpvbe98UaIghutatpkKazEPuXYRUj8tyMCRNgCuDtLKVJXDGKp5fWnldeKhUT0/vf0tV3QZpSliIRxVN3jb7j1qiiivtzwwryr9uPX/AI5eFf2RfiD4i/Zqsbq48d2fhueTw1DZWi3ExuBjmONgQ7hdxAwckDAJ4r1Wis6sHVpSgna6aut1fqjrwGJjgsdSxEoKahKMuWWsZWafLJdU7WfkfyC+L9f8WeKfFepeJfHWrX19rd9fSz6te6nK73M1wzEyPKz/ADFy2ck85r9oP+Cf37THi3xf+yZ4V139oT9uHVtK8SyRTI1hJ460+zaK0SVltgYduU/chPvfMep5rb8dfscfst+N5vi58bvGHwO0PUvFa+M/Gk/9s3kTu5khv75YmKFvLO0IoGV/hBOTX6JfA21tpPgp4PeS3jZj4W08klAST9mjr8ryLJ8TjMXiKdPESp8js2r+9q1rqu3nuf0Z4ueL2T8aZHgsNh8v5HF8zlPlbj7tuSm0n7jvq3y35Y+6rHwvB8NP2OvjT8RLrxp4u8V+Hfip4pOlGFrzxV4ittcntbFSuUihZjHBEGIJZYwdzklsuc9N/wAEgiPDvxc+L/w3+BLyz/ArS7uyl8ITW0SSabBrMqsdRt7K5BJniXELH5nAZ25zkVc/bl/Zi/Z//aH/AGzPs/xs+FemeIk0n4X6a2mremRfIMmpaiHI8t1zkIvXPTivWv8Agmr4Q8LfD/4R+LfBHgjw/aaVo+lfEjU7bTtNsYRHDbxLHb4VVH4knqSSSSSTXdkmBqYfiydKVRycE23/ADXS31ff8D81xfEND/U2WHcqlSVVRioTt7Okoy5lKn70m5WXKvdp8sZzWqZ9E0UUV+lH5kFZPjvw54K8X+C9V8MfEfSdPv8AQL6wli1mz1aNHtpbYqfMEof5dm3Oc8DrWtX5j/8ABzf8Qf2ofCH7O3hDQPhNcava/D3XLy+t/iTe6XD8hb/RvsVvcSr8yQyFrgFeEdlVWz8qngzPGRy/AVMRKPMorZden3d/I+q4I4crcW8V4TKaVdUZVZWU5fZsnLTvLS0FdXk0rq9z61/Yx+AX/BNb4Z65ruv/ALDehfDhtSltIbfX73wdrcOozxQMzNHG7rLI0SOyMduVDmIE52DHv/2Kz/59Iv8Av2K/lA/ZL+MPxz+Cfxz0bxP+z18QtT8N69dzrYNe6beJD5lvKyrJHKZP3ZjPDHzPlUqrcFQR+6E/xx+HXmuIf+CguplNx2n/AIWbp/Tt/DXyGB4zwNPDqMqDj5QSt+h+leL/AIY5jwjntJ1cweK9tG6lUb9quWytK7lp/I762at7t394pFHENscaqPRRinV8zfCb4teJvHdzp2qfDr4kN4piRktRd2uppdwz7CoYSvESmc43twRu7Zr6Zr6TJs6pZzCcqcHFRdtet/61XQ/GMZgp4JxUpJ37BRRRXtHEFfnVovjrxbrP/BQ74uaR+0b4r1G28S6ffrp/wr8PawyW1q3hd184T6dHkC4eWWBjPIu9h9liDbduK/RWvj//AIKS/Ab4O/tB/HP4WeEfjV8PrHxFptr4W8U3dvaXxcLHOtxoaBwUZTna7jGcfN06V8vxfh5VsmlNSa5Gnbvraz++59dwhmOAwmKrYbGQbhXhy88VGU6bUlNOKk0ndx5ZLmi2n8S2fLfsT/Efxl4m/wCCkXjrRvhR4mutb+GzeAbd/G1xbRQzabY+J4pYoraGK5QZ85rPf5sYY7TGu4KQM/Pf/B0N4+/ac0Pwz4J8E+FrjWLX4VavBIfEstjDttbrU1l3QwXEi8kBF3rG2FLLuAJT5fsj/gmv8Mfh78HdX+Kfw8+Fng+x0HRLHX9KNrpunRbI0LaVbszHqWYk5LMST3Ndh/wUm8MeH/Gv7IGueD/FelRX+l6r4i8N2mo2U+dk8EmvaejocEHBViOCDzwa4cLg51eDeRVGrxcvkteX00t8z6rJeMcq4c8RsLmlLBqpRoWhyySUpaNe1e8VUu+aO9rKPM7cx/P/AP8ABIbxT+0R4V/4KA/D2X9m20vrjVL3WoLTX4bKyWdW0V5oxfGUMCFjWEFi5xtKqQc4B/p1r4O/ZX/Zg/Z8/Zz/AGvvAj/A74S6R4afVNM15dQmsI3Mk6pBbFVLyMzbQSTtBAzzjNfeNa8E0nHKpT5m7yenRW7evU6vGrjvAcecTU8VhMN7KMIKN3bnnre87XXu7RV3prfWyKKKK+xPx0+IP+CpPjTxZof7RHwc8OfEbxPqGifBm6nu7rxHfKVg06412ApLp1vf3JI8uHKvIFZlRpIkzkgCvFv+Cg/xvHw5v/hsnwz+OEnhvx4fHFp9ii0rUbVJjpdwGivZJ/Oz5MPkB9sp2guuAc8V+l/xE+HfgX4teCNT+G3xM8KWOuaDrNo1tqmlajAJIbiJuqsp98EEcggEEEA1wX7PH7Dv7JX7J95qWpfs7/AjQvC11rESRald2MLNLNGhJVC8jMwXJztBAJAJBIGPjc14YxWPzX61CvyrTveNl9n/AIdH6NlXFXD2FyzDrE4ZyrUIuKgow9lVvKUlKq2+ZNc1pLlnzxjFKUN18wzfHD4dl3WP/goLqe3JCkfE3T+n/fNdD4U+GXgb4z/DCL4WfDTVIrzw9f232KG+0C8S5SOMSAOwlG9Mhgck5AJINfZ/2Kz/AOfSL/v2Kekcca7Y0Cj0UYrKfCFetOLr4uU1F31Tf3Xk7Hysc4hCLUKKV/67C0UUV9ueGFFFFAHIfEr4Rab8Q7iHUf7Sezu4Y/LEqxB1dM5AYZHTJxgj7x61r+CPBml+BNCXQ9Ld5B5jSSzSY3SMe5xx0AH0ArYorhp5bgaWMliowSqS3f8AWnzN5YmvKiqTl7q6GP448F6Z480JtD1OR4x5qyRTRY3RuO4zx0JH0JrI+Gvwj0z4eTzah/aL3l3NH5ZmaIIqJnJCjJ64XOSfujpXX0UTy3A1cZHFygnUjon/AFp89wjia8aLpKXuvoFFFFdxgFeU/tx6/wDHLwr+yL8QfEX7NVjdXPjuz8NzyeGYbK0W4mNwMcxxtkO4XcQMHJAwCeK9WorOrB1aUoJ2umrrdX6o68BiY4LHUsRKCmoSjLllrGVmnyyXVO1n5H5w/BTx9+zxY/sbwa1N8Yo7jw42hSr4o8Q61rEZvjfXUZkuzdmRvlvnkmZjE+GLyAbeQK4z9hj9pHVfEv7Mmgar8ZP26tbsNV826itLa88cadYyjT453SzLwbAY2NusZIIB9RX3J4l/4JvfsK+MPjM/7Qfib9mDwreeMJdTj1GbWJrM5lu0wRM8QbynfKhixUlm+Y5JJr2k2doTk2sZPugr4TCcH4+hKbWLcLv7N7v11Wv3+p9znPE/D1fCyhhMPKc6k1OUqignTspe5BxvzJuTcpWhflj7isfEHw/8VfC3xV4uutR8P/HKDxt4in0+OGa5uPFNvqN4lnE7FYwIiNsSyTMfu/el5PIFfTX7L3wxPwz8Dal5v2pZtf8AEd1rE8V2AGiebYu0DAIXEYwDk89a9GS2t4jujgRT6qoFPr2Mo4cllmOliqld1JNW1Xpu7u+x8fi8yWJoKlGCik/66IKKKK+nPLCs7xf4Q8LeP/C+oeCfG/h6z1bR9VtHttS03UIFlhuYXGGR0YEMCD0rRopNJqzKhOdOanB2a1TW6fdHkv7PH7CP7IP7KGs6j4j/AGefgFoPhfUNWtVtr+/soXeaSFW3CIPKzMqFsEqpAYqpOdq49W+xWf8Az6Rf9+xUlFRSpUqEOSnFRXZKy/A6cdmGPzPEPEYyrKrUdrynJyk7aK7bb0WiGpFHENscaqPRRinUUVocgUUUUAFfnVovjvxZrP8AwUP+Lmj/ALR3izUbbxNp9+un/Crw9rDJbWzeF3XzvP06PIFy8ssDGeRd7D7NEG27cV+itedftE/slfs3ftZ6Jp/h79o34PaP4stdJumuNMGpwtvtZGXa2yRCrqGGNyg7W2qSCVUjxM/yqrm+C9jTnytO/k/Jn1HDGb5dldSvSxtNuFaHLzRUZTg1KMlKKk0ndx5ZLmi2n8S2f51W/wC0bp9t/wAFDfEfhTwR+1rd6B4Lk8DQ3Pi8ab4msbSzTX45I4IEjncEu/2ZGEiAnayYYKQK9d1H4q/BTxDFFYeM/wBtEeILCO7guW0rWviLYy20ssMqzQs6LtLbJUjkHP3kXORwftP4QfA74RfALwBZfCz4NfDzS/Dvh/T9xtNL022CxozMWZjnJZiSSWYknua6b7HZ/wDPrH/37FeDS4Rx0cOqbxkkrWsk7enxLT5HRnHEOV4rFxeEwqjCEVFN2U5W+3OytzPsm7KyvK138+fBH4Yv4j+MOi/E2cXSL4asr+OBlUCKVrpI0YMSOSBGCACMZ5r6HowB0FFfSZNlccowSw6lzat3tbfy1/M+ZxmKeMr+0asFFFFeqcoUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQA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b51KPKnK8bKFS/wBhWumua3NL3Xc/Rr9inXvjb4n/AGTfh/4h/aQsbi28dXnhm2k8Tw3losEy3RX5t8a8I2MEjAwSeB0r1Ciiv0ClB06UYN3skrvd+bP58x2JjjMbVxEYKCnKUuWOkY3bfLFdEtl5BRRRWhyhXiP7Q1h4atfFcUmktt1CaINfwxINnJOGJByHPcY5GDx39E+JvxQ0rwDZG2+aXUJ4WNrAnQdgzHsM/ng4r5N8b6b4/wD2i/inB+zd4Jv7y1l1q0/tP4g+KLdxE2k6K8pidI2aJ1N1dESxRLgFVjmkyPLGfieKMXTx0o5XQip1ZNX/ALv/AAbfh6o9zKqMqCeKqO0Uvv8A6/M47wH47+GH7QX7V3hLwx8T7eRvhpZ+ILiz8M3NxBbvpnijxXarKRBPIZiTBEFdrdPL2z3MDZb91Esn6G18q/Hr9kz4faH8PF+DUGgCDwZcadHZaZDaKqvYeUFMZjO3EcqMqyI+M7lz1Br1D9kP4g/EnxJ8OovCHxpvbe98UaIghutatpkKazEPuXYRUj8tyMCRNgCuDtLKVJXDGKp5fWnldeKhUT0/vf0tV3QZpSliIRxVN3jb7j1qiiivtzwwryr9uPX/AI5eFf2RfiD4i/Zqsbq48d2fhueTw1DZWi3ExuBjmONgQ7hdxAwckDAJ4r1Wis6sHVpSgna6aut1fqjrwGJjgsdSxEoKahKMuWWsZWafLJdU7WfkfyC+L9f8WeKfFepeJfHWrX19rd9fSz6te6nK73M1wzEyPKz/ADFy2ck85r9oP+Cf37THi3xf+yZ4V139oT9uHVtK8SyRTI1hJ460+zaK0SVltgYduU/chPvfMep5rb8dfscfst+N5vi58bvGHwO0PUvFa+M/Gk/9s3kTu5khv75YmKFvLO0IoGV/hBOTX6JfA21tpPgp4PeS3jZj4W08klAST9mjr8ryLJ8TjMXiKdPESp8js2r+9q1rqu3nuf0Z4ueL2T8aZHgsNh8v5HF8zlPlbj7tuSm0n7jvq3y35Y+6rHwvB8NP2OvjT8RLrxp4u8V+Hfip4pOlGFrzxV4ittcntbFSuUihZjHBEGIJZYwdzklsuc9N/wAEgiPDvxc+L/w3+BLyz/ArS7uyl8ITW0SSabBrMqsdRt7K5BJniXELH5nAZ25zkVc/bl/Zi/Z//aH/AGzPs/xs+FemeIk0n4X6a2mremRfIMmpaiHI8t1zkIvXPTivWv8Agmr4Q8LfD/4R+LfBHgjw/aaVo+lfEjU7bTtNsYRHDbxLHb4VVH4knqSSSSSTXdkmBqYfiydKVRycE23/ADXS31ff8D81xfEND/U2WHcqlSVVRioTt7Okoy5lKn70m5WXKvdp8sZzWqZ9E0UUV+lH5kFZPjvw54K8X+C9V8MfEfSdPv8AQL6wli1mz1aNHtpbYqfMEof5dm3Oc8DrWtX5j/8ABzf8Qf2ofCH7O3hDQPhNcava/D3XLy+t/iTe6XD8hb/RvsVvcSr8yQyFrgFeEdlVWz8qngzPGRy/AVMRKPMorZden3d/I+q4I4crcW8V4TKaVdUZVZWU5fZsnLTvLS0FdXk0rq9z61/Yx+AX/BNb4Z65ruv/ALDehfDhtSltIbfX73wdrcOozxQMzNHG7rLI0SOyMduVDmIE52DHv/2Kz/59Iv8Av2K/lA/ZL+MPxz+Cfxz0bxP+z18QtT8N69dzrYNe6beJD5lvKyrJHKZP3ZjPDHzPlUqrcFQR+6E/xx+HXmuIf+CguplNx2n/AIWbp/Tt/DXyGB4zwNPDqMqDj5QSt+h+leL/AIY5jwjntJ1cweK9tG6lUb9quWytK7lp/I762at7t394pFHENscaqPRRinV8zfCb4teJvHdzp2qfDr4kN4piRktRd2uppdwz7CoYSvESmc43twRu7Zr6Zr6TJs6pZzCcqcHFRdtet/61XQ/GMZgp4JxUpJ37BRRRXtHEFfnVovjrxbrP/BQ74uaR+0b4r1G28S6ffrp/wr8PawyW1q3hd184T6dHkC4eWWBjPIu9h9liDbduK/RWvj//AIKS/Ab4O/tB/HP4WeEfjV8PrHxFptr4W8U3dvaXxcLHOtxoaBwUZTna7jGcfN06V8vxfh5VsmlNSa5Gnbvraz++59dwhmOAwmKrYbGQbhXhy88VGU6bUlNOKk0ndx5ZLmi2n8S2fLfsT/Efxl4m/wCCkXjrRvhR4mutb+GzeAbd/G1xbRQzabY+J4pYoraGK5QZ85rPf5sYY7TGu4KQM/Pf/B0N4+/ac0Pwz4J8E+FrjWLX4VavBIfEstjDttbrU1l3QwXEi8kBF3rG2FLLuAJT5fsj/gmv8Mfh78HdX+Kfw8+Fng+x0HRLHX9KNrpunRbI0LaVbszHqWYk5LMST3Ndh/wUm8MeH/Gv7IGueD/FelRX+l6r4i8N2mo2U+dk8EmvaejocEHBViOCDzwa4cLg51eDeRVGrxcvkteX00t8z6rJeMcq4c8RsLmlLBqpRoWhyySUpaNe1e8VUu+aO9rKPM7cx/P/AP8ABIbxT+0R4V/4KA/D2X9m20vrjVL3WoLTX4bKyWdW0V5oxfGUMCFjWEFi5xtKqQc4B/p1r4O/ZX/Zg/Z8/Zz/AGvvAj/A74S6R4afVNM15dQmsI3Mk6pBbFVLyMzbQSTtBAzzjNfeNa8E0nHKpT5m7yenRW7evU6vGrjvAcecTU8VhMN7KMIKN3bnnre87XXu7RV3prfWyKKKK+xPx0+IP+CpPjTxZof7RHwc8OfEbxPqGifBm6nu7rxHfKVg06412ApLp1vf3JI8uHKvIFZlRpIkzkgCvFv+Cg/xvHw5v/hsnwz+OEnhvx4fHFp9ii0rUbVJjpdwGivZJ/Oz5MPkB9sp2guuAc8V+l/xE+HfgX4teCNT+G3xM8KWOuaDrNo1tqmlajAJIbiJuqsp98EEcggEEEA1wX7PH7Dv7JX7J95qWpfs7/AjQvC11rESRald2MLNLNGhJVC8jMwXJztBAJAJBIGPjc14YxWPzX61CvyrTveNl9n/AIdH6NlXFXD2FyzDrE4ZyrUIuKgow9lVvKUlKq2+ZNc1pLlnzxjFKUN18wzfHD4dl3WP/goLqe3JCkfE3T+n/fNdD4U+GXgb4z/DCL4WfDTVIrzw9f232KG+0C8S5SOMSAOwlG9Mhgck5AJINfZ/2Kz/AOfSL/v2Kekcca7Y0Cj0UYrKfCFetOLr4uU1F31Tf3Xk7Hysc4hCLUKKV/67C0UUV9ueGFFFFAHIfEr4Rab8Q7iHUf7Sezu4Y/LEqxB1dM5AYZHTJxgj7x61r+CPBml+BNCXQ9Ld5B5jSSzSY3SMe5xx0AH0ArYorhp5bgaWMliowSqS3f8AWnzN5YmvKiqTl7q6GP448F6Z480JtD1OR4x5qyRTRY3RuO4zx0JH0JrI+Gvwj0z4eTzah/aL3l3NH5ZmaIIqJnJCjJ64XOSfujpXX0UTy3A1cZHFygnUjon/AFp89wjia8aLpKXuvoFFFFdxgFeU/tx6/wDHLwr+yL8QfEX7NVjdXPjuz8NzyeGYbK0W4mNwMcxxtkO4XcQMHJAwCeK9WorOrB1aUoJ2umrrdX6o68BiY4LHUsRKCmoSjLllrGVmnyyXVO1n5H5w/BTx9+zxY/sbwa1N8Yo7jw42hSr4o8Q61rEZvjfXUZkuzdmRvlvnkmZjE+GLyAbeQK4z9hj9pHVfEv7Mmgar8ZP26tbsNV826itLa88cadYyjT453SzLwbAY2NusZIIB9RX3J4l/4JvfsK+MPjM/7Qfib9mDwreeMJdTj1GbWJrM5lu0wRM8QbynfKhixUlm+Y5JJr2k2doTk2sZPugr4TCcH4+hKbWLcLv7N7v11Wv3+p9znPE/D1fCyhhMPKc6k1OUqignTspe5BxvzJuTcpWhflj7isfEHw/8VfC3xV4uutR8P/HKDxt4in0+OGa5uPFNvqN4lnE7FYwIiNsSyTMfu/el5PIFfTX7L3wxPwz8Dal5v2pZtf8AEd1rE8V2AGiebYu0DAIXEYwDk89a9GS2t4jujgRT6qoFPr2Mo4cllmOliqld1JNW1Xpu7u+x8fi8yWJoKlGCik/66IKKKK+nPLCs7xf4Q8LeP/C+oeCfG/h6z1bR9VtHttS03UIFlhuYXGGR0YEMCD0rRopNJqzKhOdOanB2a1TW6fdHkv7PH7CP7IP7KGs6j4j/AGefgFoPhfUNWtVtr+/soXeaSFW3CIPKzMqFsEqpAYqpOdq49W+xWf8Az6Rf9+xUlFRSpUqEOSnFRXZKy/A6cdmGPzPEPEYyrKrUdrynJyk7aK7bb0WiGpFHENscaqPRRinUUVocgUUUUAFfnVovjvxZrP8AwUP+Lmj/ALR3izUbbxNp9+un/Crw9rDJbWzeF3XzvP06PIFy8ssDGeRd7D7NEG27cV+itedftE/slfs3ftZ6Jp/h79o34PaP4stdJumuNMGpwtvtZGXa2yRCrqGGNyg7W2qSCVUjxM/yqrm+C9jTnytO/k/Jn1HDGb5dldSvSxtNuFaHLzRUZTg1KMlKKk0ndx5ZLmi2n8S2f51W/wC0bp9t/wAFDfEfhTwR+1rd6B4Lk8DQ3Pi8ab4msbSzTX45I4IEjncEu/2ZGEiAnayYYKQK9d1H4q/BTxDFFYeM/wBtEeILCO7guW0rWviLYy20ssMqzQs6LtLbJUjkHP3kXORwftP4QfA74RfALwBZfCz4NfDzS/Dvh/T9xtNL022CxozMWZjnJZiSSWYknua6b7HZ/wDPrH/37FeDS4Rx0cOqbxkkrWsk7enxLT5HRnHEOV4rFxeEwqjCEVFN2U5W+3OytzPsm7KyvK138+fBH4Yv4j+MOi/E2cXSL4asr+OBlUCKVrpI0YMSOSBGCACMZ5r6HowB0FFfSZNlccowSw6lzat3tbfy1/M+ZxmKeMr+0asFFFFeqcoUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQA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"info": {"equation": "0*8=0", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "da4182e1fffd6bf18ab626d9c283d43ca271f5734552a2dbcd324911388518da"} +{"episode": 910, "episode_seed": 4077374825, "split": "train", "timestamp": "2025-10-28T03:42:48.919638", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4077374825, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 0, 6, 4])", "action": "('move', [4, 0, 6, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "88-21=67", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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ttDMQAeR7R/wSaJtv2btc0Dw40j+CNI+I2tWXw0mMa+U+iJKhUQOufOt0uWu44pCTujjXlhhjr/8ABRT4OfC740/Drwd8P/ir4Istb0W68dJJPp90GCOyaZqDIcoVYYYA8Guv/Yg8P6H4T/Zm0Dwt4Y0mCw03TbzVLWwsbWMJHbwx6ldIkagdAFAA+lc2UZfWwPEk4VKzqNU73fW7Ss9XsfLYnOaNThF4Vc15VFaLtyQUU3zR1vzybafuxSV9ZOXu+sV4d/wUq8TfGLwb+wb8U/E/wCe+TxZZeE55NMl0yLfcwrlRNJEOu9YTKwI+YFQRyBXuNBAYFWAII5Br7OvTdajKmna6aut1db/I+XyvGRy7M6GLlTVRU5xk4y2lyyT5X5O1n5M/m1/4Iu/F3xr4B/akuvDtv8c9S8F+F9a0W4l8UXVtr0NjHO0KMbYvJNlSwlkwMfMQ7di1fsr8Bfi+3iXXYdB+Hf7Q1x44uIr6OaaJ/E8GovCrYXD+RjbGQp+8P7xBr3H4F/smfs2/szf23/woT4N6J4W/4SO+F3rf9l2237VKN20nJOFXe+1BhV3HAGTXoMcEERzFCik9dqgV8XhOEsdRpxi8XJJO/LG9t76ar8tz9L8TPETLeOOKJ5nhcH7OLhGPvW5nZfFKyavryrV+7GPon0UUV9yfkx+aX/Bz14p+MuifsdeFdD8Dy38XhPV/Fvk+NpLOP924SPzLSKZhyIzKrMAflLxpnkKD8x/8ERvjv4i0/wCA3iTwV8Q/2sNV8I6DoutRJ4U0oeMLWwjXzVkluvLSYFiu9o2OPlDO2OS1frP+3p4J8KfEj9mTVvAXjrQYdU0bVtb0S31LT7nPl3ETataZVtpBx9CDWJ/wT4+Gfw/+Fnwo8QfD/wCHfhCx0fRdM8Yzx2GnWcWI4VNpaMcZySSzMSSSSSSTXwuaZZXxnE3JTrypuVO910s7W3Wj39T9lwniDl1DwgfDUsEpVPb83Ppa1+bm2v7T/l3tb2fXoc1+yxoPhXxv4w0Hxb4M8Xf29YaLf3t/JrVrqUd4t1dSw3EUrSzJlWdmuZGIGDuHQAEV9RUiRxxLtjQKPRRilr6TJ8r/ALJwroubm3Jybatq7eb7dz8lxmK+t1VPltZWsFFFFesch8m/8FvvE/xi8Jf8E0fiNqvwUlv4tQa1t4NWn02PdLFpck6JeNkcqvklwzDlULHgAkfn5/wav618Vo/jz8TPDumwXTeB5fCcFxrEgtgYU1RblFtAZOquYXvMKPvBST90V+wP7SEENz+zv49triMPHJ4L1RXRhwwNpKCDXhf/AATj+Bfwg+AHifxt4R+DHw+0/wAO6bc6Nod3c2tgrYlnaTUlMjM7MzHCqOTwBxXyeYYeT4qwk+Z6xlp/hTf431P17h/jvA5X4U5nw7PCKVSvUjJVNLJPl+LreHLeFusntbX6oooor6w/ITx/VPg3+xJefte2XxT1fw94Ib41Jo+bGea+hGsmzEbxeatuX3Moj8xPN2EhQV3YGB64traowZLaMEdCEFfzF/tI/GP9qnQf+CoXin4neIPF+taN8SdO+Is8FrfvItvPZIspggjTd8iRC3KIoPyGM85Ukn9nPBPx08JnxNHYaD+2ddeIbu8DW9vpNx49s7rzmb+5HGA5fjjac9a+Fhxlg6EqsZUGnzPa2vnLaz77n7R4i+GmYcLUMsnVx6xCrUU1dt8lrPlhq/3fve49L+9oj7corF+Hlzrd54J0268RB/tj24MxkGGPJwWB6EjBPvW1X2tCqq9CNRK3Mk7PdXV9T8aqQ9nNx7Ox5L+3l4g+LnhX9jL4m+JPgOLz/hL7LwZfTaC2nQ+ZcJOIid0S93UbiuATkDAJwK/n8/4I8/FHxh4I/bNt/s/xjvfCGka1o97H4r1eHWYbMywrE0savNOCBm5WHp8xJ9Ca/pdr4h/4Jv8A7P8A8FfhH8V9O8RfDb4a6Zo9/wCJvh1dXev3dtGxkvZvtGmtucuTj5pHOBgZY8V8hxLgqmLzXCRhVcHLmSa6WV7rVavY/X+BePsBw3wJnOUVsGqs8So8snayuuX3r6+58cLXtO+255h8XvDv7HfxR8NeJ/iX8Ufi/p3jXU9H8LsP+Eo1TxZb6hf6BbxuZIpLNkYfZZBcFWRkAd5NiktkLX3b+yfq/wAT/EH7MHw71341wXMfjC88FaZN4ojvbYQzLftaxmcSRgAI/mFsqAMHIr5l/wCCkf7P/wAFPix8VrjxT8Sfhppmtah4X+Gkl1oFxexsfsU3nXTb1UEKx3RofmBHyjivtWxJayhZiSTEuSfpT4bwdTB5ri6c6jm48qbfW6bu9Xqtj5DO84pYvhzCYZczd5S961qaXuqFPVu0tJT0jqopR927looor7M+MK+rvfR6TdSaYm65W3c264zl9p2jn3xX80v7D3j/APat1D/grp4K8ZXr6zcfEu/+KIj8Wrc2m66CyTNFqiSxsMIqWxuQwwBGqHG3aMf0xV8Q+AvgN8G9H/byT4+aZ8OtOi8Z6l8UtWtL7xEFY3EsAsr1dnLFVG2NASoBIXk8nPyXE+HlVxGDkpNfvEtPO2vqraep+veF/HmB4Oy3OMNiMIqzxNBxi3bRpSXLK/2Jc15Ja3itOq+3qKKK+tPyE+HPjX48jsP22Pi1ZfG3xnJpmm6V4M0h/CkGpzx29rHoLW7tfXcBYgSE3vmJM5zt8m3U4BXd5R+zF8dvDvjH9mTwmfjL+2xfy3WoaCE1fRdX8d2Fus1sxZUhmgAUoGg2Bk4I3EHBzX3v8dP2Tv2b/wBpm/0DU/j38HdF8VXHhe8a60GXVbcubSRihbGCNysY0JRsq2wZBxXfmztCcm1jJ/3BXxlfhfGVsfWrxxTgpu+l7+j1Wi2W+h9vjOI8oq5VRpUsN+9tTU21FKPs4ci5Grt+0+OpdR95L4tzyn9l3wiLE65493Ska0tpBHux5bJAJSHTjnJnIzkj5Rjoa9aoAAGAKK+ly3BLLsDDDKV+Vb7X1ufH4mu8TXlUatcK/J7xx8bfE/h39jTU/Gvib4u3+jfFaX4lmPVbi5ureHULXxD/AG0qPaeXJlYo47dVVRjC2qJIDt+c/rDXnafsmfs3R/tAyftUp8G9EHxDlsvssniv7N/pTReUIuudu7ywI9+N2z5c44rzs+yetm8aSp1OTklf/grzXT1ep9NwvneVZRGqsbR9om4TjZRd5U+b93K+1Opze+1d+6vdfT5b0L4k/DHxX4rsdPj/AGr38ZXcdy76RpGoeOLS9/fGN08yOKPDNII3kXvhXbjuPrn4EeDm8B/CvTPDr+cG33N06zgB1a4uJLgqQAMYMpAHUAc811a2tqjBktowR0IQVJUZTkVTLcXLEVa7qSkuXVdL33bZ4eLx8cTRVOMFFJ30/wCGQUUUV9EecFFFFABRRRQB8uf8FG/E/iLQ/GnwY0zUdautP8E3/ja5HiO4jKpby38dm8mlwXMhI2RtcAsoyA80cK8kqrfN/gH4/aEv7RHxb8Ov+2De+HNA03VtLTT7G18X2NjAuoGyAv0j3gtJtKW4YknbIXTgqwH6J/FT4VfDr43/AA+1T4VfFnwhZa94d1qAQ6npOoR7orhAwYZxgghlVgQQQVBBBANQ/Cn4N/C34HfD7TfhV8JfA2n6D4e0eJo9N0qwhxFArOztjOSSWZmJJJJYkkk18nmXDuLx2aPFU8Q6acUtL3XktVo999+h9nh+IMoo8OrCzw/NXS5L2jy8vtPae0v8XtP+XdrW5PtfZPLP2VPiHqXjrULe48P/ABHk8WaNHZNDPq39qJeI7R8AmWP5DJu4OME85HHHvNIkccS7Y0Cj0UYpa9rKsBUy3C+ynVdR3bu/P5v89z5XF4iOJq88YqOlrIKKKK9I5jH+IWlLrvgLWtDk05LxL3SriCS0kztmV42VkOOeQSOPWvOv2XvBj6Vf6/4zlinjOoW9lYqki4XbbNctkcZzm4YHnHygcEGvXaK82vlyrZnSxjl/DUlbvzaf18jphiXDCzo2+JrX0CiiivSOY87v/wBkz9m7U/2gLf8Aao1D4OaLN8QrWz+y2/ip7cm5SLy2i9dpby2ZN5G7aducACvQFtbVGDJbRgjoQgqSiohTp078qSu7u3V935nTiMZi8WoKvUlPkiox5m3yxW0VfaKu7JaIKKKKs5jyj9unXvil4X/Y7+JPiH4Kvfp4os/CN5LpEulQebdROIzukhTB3Sqm5lABO4DAJwK+HfH3xm8CeC/id8D/AA98Lf2kX8OaTfaLqS3t7pfiK0h8/QVsEMMss8u7bm7htVUg5dhKOdrY/TmvOvgp+yR+zV+zlrHiHxB8Dvgzofhm88V3guvEE+mW203kgZ2XOSQqhpHIRcKNxwBXzWdZHic0xdKrSrOHImut1fqrNa9HqtD7DJM9yrL8pq0MTQ56nvuGkbSc4KHvt6pU7c8LKXvXXu35l8xeD5fAXxoutV8K+HfjpJ451XVtM+wXNwfE9vqN1a2r71AURDCIGkZslcZPJ7V9wQRCGBIQchEC8+wpI7eCI7ooUU+qqBT66cmyaeVSqynVdSU7XbXa/m77nzuNxqxailDlUb7ef3BRRRXuHCFeE6J8NReftGpfjSpbNdM8Q3OsN5CkJI8kE8W9i2eH84txj5hx0Ir3aivNzDLlj6lGTlb2c1L1t0OnD4l4eM0lfmVvQKKKK9I5gooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK5D4+fHf4V/sxfBvxD8ffjb4qi0Twr4W05r3WdSlRn8qMEABVUFndmKoqKCWZlABJrr6+Tf+C3vwV+J/x5/wCCbPjjwd8HvCV54h1zT9T0LXovDunR77jVINN1izvp7aJP45Ght5NqdWYKo5NAHsn7Jf7XnwP/AG1/hQfjD8BtdvbrTYNWudL1Oy1bSprC+0y/t2CzWt1bTqskEq5UlGAOHU9CK9Or4u/4I2+FvH+oQftBftL+K/hr4k8H6P8AGP496j4m8G6B4u0iTT9RGmCxsrRLme1kw9u8sltI2xwG2hSeor7RoAKKKKAPG/2yv28f2c/2DfC+geLf2idf1OytfEuuxaTpK6VodxfO9xIyqC4hRhFGC6Au5C5dRySBXslfDH/Bwj4s1K1/4J/3Pw18NfCzx14r1rxP4v0FtNsfBHgu91h41stXsr2d5haxuYV8mCQqzYDMAo5NfZXwx+IGlfFf4c6H8TdC0rVrCy8QaVBqFpZa9pUtjewRyxh1Se3mCyQSgHDRuAykEEAigDdooooAK8C+JX/BS/8AZN+EX7Vmhfsc/ELxTrWneLPEWo22m6bezeFr3+yG1G5hM1vYNqPlfZhdSRgMsW/dgjOM177X5x/t3fGu/wDjV/wVc+EP7KPxT+CvxSt/hX8MPEmk+Ll8Q+HvhlqepWPibxdIdmmwvewQtDaWNkJzPPK7cyYRtqxs1AH6OUUUUAFFFFAHgX7O3/BSz9lX9qD4/eIv2ZvhjrviGLxd4c0x9Tex8Q+Eb7TE1LT0uTate2UlzEi3duJhs82PKkkYyOa99r81f2DtK8U/ED/gtJ8RP2k/hj8FPjToHgrWPhRNYfEC7+Nej3MP2LxENXEsFhoz3RYraCIzu0dsxts7Cvav0qoAKKKKAI7q6trG1kvb24SKGGMvLLIwCooGSxJ6ADnNeU/sY/ttfs9/t9/CGf46fszeKLnWfDMGv3mjjULnT5Lbzbi2ZVkKLIAWT5gVccEGsT/gpf8AD/8AaF+LH7DvxA+F37LmiQ6l4w8R6ZFptvp82uJphubKa5ijv4ku3Vlt5Gs2uVSQq21mU7SRivnr/g3y8FfHv4bfs/fFzwP8bf2V3+FEEPx/8UXXh7Q21Q3KfZ5rrLRQEwReZbQlVjiuVBS4QCRQo4oA++qKKKACvGv2xP26fgr+xDpvhe9+LukeL9TufGWtS6V4c0jwR4Qu9bvry5jtpLl1W3tEeQhYYpHJA4Ck9q9lr4d/4LkeCPhp4n+DPhXxF458E/tAX+seHrzVbzwLrH7PlrdvqOl62+nS28DTvZ/v4o5BM6Bh+7PzCQhTggH2Z4B8Zad8RPA2jfEDSNO1KztNc0q3v7a01jTpLO7hjmjWRUnglAkhlAYBo3AZWBBAINa1eSfsEp+0JH+xR8KU/awa4PxKHgLS/wDhNzeFTP8A2l9mTzvN2/L5u7O/HG/dXrdABRRRQB4j8bP+Chn7MXwC/aG8M/st+OvEesT+M/E8EFzHp2heGrzUU0u1nuPs0F1fy28bpYwST5jWSUqpYHnAzXt1fjz/AMFEfgF+2R4L/wCCxuqfGr9n/SvjCuufEAfDtPhxq/gcXP8AwjPlWGovFrttr7R/uViSyeWVEn+U/aGKZfp+w1ABRRRQAV81/Av/AIKqfs0fH79p5v2QfDnhb4k6H43Ok3up29l40+G2paPDdWdpKsU08Ut1EiyR73UBlyCWGDzX0pXx5+yb4C8c/FX/AIKm/tE/tf8AxB8Gavpml+GdN0f4XfDOXWNOlt/tVjbR/wBo6pdQeYo8yGW9uURZUyr/AGU4JxQB9h0UUUAf/9k=", 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ttDMQAeR7R/wSaJtv2btc0Dw40j+CNI+I2tWXw0mMa+U+iJKhUQOufOt0uWu44pCTujjXlhhjr/8ABRT4OfC740/Drwd8P/ir4Istb0W68dJJPp90GCOyaZqDIcoVYYYA8Guv/Yg8P6H4T/Zm0Dwt4Y0mCw03TbzVLWwsbWMJHbwx6ldIkagdAFAA+lc2UZfWwPEk4VKzqNU73fW7Ss9XsfLYnOaNThF4Vc15VFaLtyQUU3zR1vzybafuxSV9ZOXu+sV4d/wUq8TfGLwb+wb8U/E/wCe+TxZZeE55NMl0yLfcwrlRNJEOu9YTKwI+YFQRyBXuNBAYFWAII5Br7OvTdajKmna6aut1db/I+XyvGRy7M6GLlTVRU5xk4y2lyyT5X5O1n5M/m1/4Iu/F3xr4B/akuvDtv8c9S8F+F9a0W4l8UXVtr0NjHO0KMbYvJNlSwlkwMfMQ7di1fsr8Bfi+3iXXYdB+Hf7Q1x44uIr6OaaJ/E8GovCrYXD+RjbGQp+8P7xBr3H4F/smfs2/szf23/woT4N6J4W/4SO+F3rf9l2237VKN20nJOFXe+1BhV3HAGTXoMcEERzFCik9dqgV8XhOEsdRpxi8XJJO/LG9t76ar8tz9L8TPETLeOOKJ5nhcH7OLhGPvW5nZfFKyavryrV+7GPon0UUV9yfkx+aX/Bz14p+MuifsdeFdD8Dy38XhPV/Fvk+NpLOP924SPzLSKZhyIzKrMAflLxpnkKD8x/8ERvjv4i0/wCA3iTwV8Q/2sNV8I6DoutRJ4U0oeMLWwjXzVkluvLSYFiu9o2OPlDO2OS1frP+3p4J8KfEj9mTVvAXjrQYdU0bVtb0S31LT7nPl3ETataZVtpBx9CDWJ/wT4+Gfw/+Fnwo8QfD/wCHfhCx0fRdM8Yzx2GnWcWI4VNpaMcZySSzMSSSSSSTXwuaZZXxnE3JTrypuVO910s7W3Wj39T9lwniDl1DwgfDUsEpVPb83Ppa1+bm2v7T/l3tb2fXoc1+yxoPhXxv4w0Hxb4M8Xf29YaLf3t/JrVrqUd4t1dSw3EUrSzJlWdmuZGIGDuHQAEV9RUiRxxLtjQKPRRilr6TJ8r/ALJwroubm3Jybatq7eb7dz8lxmK+t1VPltZWsFFFFesch8m/8FvvE/xi8Jf8E0fiNqvwUlv4tQa1t4NWn02PdLFpck6JeNkcqvklwzDlULHgAkfn5/wav618Vo/jz8TPDumwXTeB5fCcFxrEgtgYU1RblFtAZOquYXvMKPvBST90V+wP7SEENz+zv49triMPHJ4L1RXRhwwNpKCDXhf/AATj+Bfwg+AHifxt4R+DHw+0/wAO6bc6Nod3c2tgrYlnaTUlMjM7MzHCqOTwBxXyeYYeT4qwk+Z6xlp/hTf431P17h/jvA5X4U5nw7PCKVSvUjJVNLJPl+LreHLeFusntbX6oooor6w/ITx/VPg3+xJefte2XxT1fw94Ib41Jo+bGea+hGsmzEbxeatuX3Moj8xPN2EhQV3YGB64traowZLaMEdCEFfzF/tI/GP9qnQf+CoXin4neIPF+taN8SdO+Is8FrfvItvPZIspggjTd8iRC3KIoPyGM85Ukn9nPBPx08JnxNHYaD+2ddeIbu8DW9vpNx49s7rzmb+5HGA5fjjac9a+Fhxlg6EqsZUGnzPa2vnLaz77n7R4i+GmYcLUMsnVx6xCrUU1dt8lrPlhq/3fve49L+9oj7corF+Hlzrd54J0268RB/tj24MxkGGPJwWB6EjBPvW1X2tCqq9CNRK3Mk7PdXV9T8aqQ9nNx7Ox5L+3l4g+LnhX9jL4m+JPgOLz/hL7LwZfTaC2nQ+ZcJOIid0S93UbiuATkDAJwK/n8/4I8/FHxh4I/bNt/s/xjvfCGka1o97H4r1eHWYbMywrE0savNOCBm5WHp8xJ9Ca/pdr4h/4Jv8A7P8A8FfhH8V9O8RfDb4a6Zo9/wCJvh1dXev3dtGxkvZvtGmtucuTj5pHOBgZY8V8hxLgqmLzXCRhVcHLmSa6WV7rVavY/X+BePsBw3wJnOUVsGqs8So8snayuuX3r6+58cLXtO+255h8XvDv7HfxR8NeJ/iX8Ufi/p3jXU9H8LsP+Eo1TxZb6hf6BbxuZIpLNkYfZZBcFWRkAd5NiktkLX3b+yfq/wAT/EH7MHw71341wXMfjC88FaZN4ojvbYQzLftaxmcSRgAI/mFsqAMHIr5l/wCCkf7P/wAFPix8VrjxT8Sfhppmtah4X+Gkl1oFxexsfsU3nXTb1UEKx3RofmBHyjivtWxJayhZiSTEuSfpT4bwdTB5ri6c6jm48qbfW6bu9Xqtj5DO84pYvhzCYZczd5S961qaXuqFPVu0tJT0jqopR927looor7M+MK+rvfR6TdSaYm65W3c264zl9p2jn3xX80v7D3j/APat1D/grp4K8ZXr6zcfEu/+KIj8Wrc2m66CyTNFqiSxsMIqWxuQwwBGqHG3aMf0xV8Q+AvgN8G9H/byT4+aZ8OtOi8Z6l8UtWtL7xEFY3EsAsr1dnLFVG2NASoBIXk8nPyXE+HlVxGDkpNfvEtPO2vqraep+veF/HmB4Oy3OMNiMIqzxNBxi3bRpSXLK/2Jc15Ja3itOq+3qKKK+tPyE+HPjX48jsP22Pi1ZfG3xnJpmm6V4M0h/CkGpzx29rHoLW7tfXcBYgSE3vmJM5zt8m3U4BXd5R+zF8dvDvjH9mTwmfjL+2xfy3WoaCE1fRdX8d2Fus1sxZUhmgAUoGg2Bk4I3EHBzX3v8dP2Tv2b/wBpm/0DU/j38HdF8VXHhe8a60GXVbcubSRihbGCNysY0JRsq2wZBxXfmztCcm1jJ/3BXxlfhfGVsfWrxxTgpu+l7+j1Wi2W+h9vjOI8oq5VRpUsN+9tTU21FKPs4ci5Grt+0+OpdR95L4tzyn9l3wiLE65493Ska0tpBHux5bJAJSHTjnJnIzkj5Rjoa9aoAAGAKK+ly3BLLsDDDKV+Vb7X1ufH4mu8TXlUatcK/J7xx8bfE/h39jTU/Gvib4u3+jfFaX4lmPVbi5ureHULXxD/AG0qPaeXJlYo47dVVRjC2qJIDt+c/rDXnafsmfs3R/tAyftUp8G9EHxDlsvssniv7N/pTReUIuudu7ywI9+N2z5c44rzs+yetm8aSp1OTklf/grzXT1ep9NwvneVZRGqsbR9om4TjZRd5U+b93K+1Opze+1d+6vdfT5b0L4k/DHxX4rsdPj/AGr38ZXcdy76RpGoeOLS9/fGN08yOKPDNII3kXvhXbjuPrn4EeDm8B/CvTPDr+cG33N06zgB1a4uJLgqQAMYMpAHUAc811a2tqjBktowR0IQVJUZTkVTLcXLEVa7qSkuXVdL33bZ4eLx8cTRVOMFFJ30/wCGQUUUV9EecFFFFABRRRQB8uf8FG/E/iLQ/GnwY0zUdautP8E3/ja5HiO4jKpby38dm8mlwXMhI2RtcAsoyA80cK8kqrfN/gH4/aEv7RHxb8Ov+2De+HNA03VtLTT7G18X2NjAuoGyAv0j3gtJtKW4YknbIXTgqwH6J/FT4VfDr43/AA+1T4VfFnwhZa94d1qAQ6npOoR7orhAwYZxgghlVgQQQVBBBANQ/Cn4N/C34HfD7TfhV8JfA2n6D4e0eJo9N0qwhxFArOztjOSSWZmJJJJYkkk18nmXDuLx2aPFU8Q6acUtL3XktVo999+h9nh+IMoo8OrCzw/NXS5L2jy8vtPae0v8XtP+XdrW5PtfZPLP2VPiHqXjrULe48P/ABHk8WaNHZNDPq39qJeI7R8AmWP5DJu4OME85HHHvNIkccS7Y0Cj0UYpa9rKsBUy3C+ynVdR3bu/P5v89z5XF4iOJq88YqOlrIKKKK9I5jH+IWlLrvgLWtDk05LxL3SriCS0kztmV42VkOOeQSOPWvOv2XvBj6Vf6/4zlinjOoW9lYqki4XbbNctkcZzm4YHnHygcEGvXaK82vlyrZnSxjl/DUlbvzaf18jphiXDCzo2+JrX0CiiivSOY87v/wBkz9m7U/2gLf8Aao1D4OaLN8QrWz+y2/ip7cm5SLy2i9dpby2ZN5G7aducACvQFtbVGDJbRgjoQgqSiohTp078qSu7u3V935nTiMZi8WoKvUlPkiox5m3yxW0VfaKu7JaIKKKKs5jyj9unXvil4X/Y7+JPiH4Kvfp4os/CN5LpEulQebdROIzukhTB3Sqm5lABO4DAJwK+HfH3xm8CeC/id8D/AA98Lf2kX8OaTfaLqS3t7pfiK0h8/QVsEMMss8u7bm7htVUg5dhKOdrY/TmvOvgp+yR+zV+zlrHiHxB8Dvgzofhm88V3guvEE+mW203kgZ2XOSQqhpHIRcKNxwBXzWdZHic0xdKrSrOHImut1fqrNa9HqtD7DJM9yrL8pq0MTQ56nvuGkbSc4KHvt6pU7c8LKXvXXu35l8xeD5fAXxoutV8K+HfjpJ451XVtM+wXNwfE9vqN1a2r71AURDCIGkZslcZPJ7V9wQRCGBIQchEC8+wpI7eCI7ooUU+qqBT66cmyaeVSqynVdSU7XbXa/m77nzuNxqxailDlUb7ef3BRRRXuHCFeE6J8NReftGpfjSpbNdM8Q3OsN5CkJI8kE8W9i2eH84txj5hx0Ir3aivNzDLlj6lGTlb2c1L1t0OnD4l4eM0lfmVvQKKKK9I5gooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK5D4+fHf4V/sxfBvxD8ffjb4qi0Twr4W05r3WdSlRn8qMEABVUFndmKoqKCWZlABJrr6+Tf+C3vwV+J/x5/wCCbPjjwd8HvCV54h1zT9T0LXovDunR77jVINN1izvp7aJP45Ght5NqdWYKo5NAHsn7Jf7XnwP/AG1/hQfjD8BtdvbrTYNWudL1Oy1bSprC+0y/t2CzWt1bTqskEq5UlGAOHU9CK9Or4u/4I2+FvH+oQftBftL+K/hr4k8H6P8AGP496j4m8G6B4u0iTT9RGmCxsrRLme1kw9u8sltI2xwG2hSeor7RoAKKKKAPG/2yv28f2c/2DfC+geLf2idf1OytfEuuxaTpK6VodxfO9xIyqC4hRhFGC6Au5C5dRySBXslfDH/Bwj4s1K1/4J/3Pw18NfCzx14r1rxP4v0FtNsfBHgu91h41stXsr2d5haxuYV8mCQqzYDMAo5NfZXwx+IGlfFf4c6H8TdC0rVrCy8QaVBqFpZa9pUtjewRyxh1Se3mCyQSgHDRuAykEEAigDdooooAK8C+JX/BS/8AZN+EX7Vmhfsc/ELxTrWneLPEWo22m6bezeFr3+yG1G5hM1vYNqPlfZhdSRgMsW/dgjOM177X5x/t3fGu/wDjV/wVc+EP7KPxT+CvxSt/hX8MPEmk+Ll8Q+HvhlqepWPibxdIdmmwvewQtDaWNkJzPPK7cyYRtqxs1AH6OUUUUAFFFFAHgX7O3/BSz9lX9qD4/eIv2ZvhjrviGLxd4c0x9Tex8Q+Eb7TE1LT0uTate2UlzEi3duJhs82PKkkYyOa99r81f2DtK8U/ED/gtJ8RP2k/hj8FPjToHgrWPhRNYfEC7+Nej3MP2LxENXEsFhoz3RYraCIzu0dsxts7Cvav0qoAKKKKAI7q6trG1kvb24SKGGMvLLIwCooGSxJ6ADnNeU/sY/ttfs9/t9/CGf46fszeKLnWfDMGv3mjjULnT5Lbzbi2ZVkKLIAWT5gVccEGsT/gpf8AD/8AaF+LH7DvxA+F37LmiQ6l4w8R6ZFptvp82uJphubKa5ijv4ku3Vlt5Gs2uVSQq21mU7SRivnr/g3y8FfHv4bfs/fFzwP8bf2V3+FEEPx/8UXXh7Q21Q3KfZ5rrLRQEwReZbQlVjiuVBS4QCRQo4oA++qKKKACvGv2xP26fgr+xDpvhe9+LukeL9TufGWtS6V4c0jwR4Qu9bvry5jtpLl1W3tEeQhYYpHJA4Ck9q9lr4d/4LkeCPhp4n+DPhXxF458E/tAX+seHrzVbzwLrH7PlrdvqOl62+nS28DTvZ/v4o5BM6Bh+7PzCQhTggH2Z4B8Zad8RPA2jfEDSNO1KztNc0q3v7a01jTpLO7hjmjWRUnglAkhlAYBo3AZWBBAINa1eSfsEp+0JH+xR8KU/awa4PxKHgLS/wDhNzeFTP8A2l9mTzvN2/L5u7O/HG/dXrdABRRRQB4j8bP+Chn7MXwC/aG8M/st+OvEesT+M/E8EFzHp2heGrzUU0u1nuPs0F1fy28bpYwST5jWSUqpYHnAzXt1fjz/AMFEfgF+2R4L/wCCxuqfGr9n/SvjCuufEAfDtPhxq/gcXP8AwjPlWGovFrttr7R/uViSyeWVEn+U/aGKZfp+w1ABRRRQAV81/Av/AIKqfs0fH79p5v2QfDnhb4k6H43Ok3up29l40+G2paPDdWdpKsU08Ut1EiyR73UBlyCWGDzX0pXx5+yb4C8c/FX/AIKm/tE/tf8AxB8Gavpml+GdN0f4XfDOXWNOlt/tVjbR/wBo6pdQeYo8yGW9uURZUyr/AGU4JxQB9h0UUUAf/9k=", "info": {"equation": "88-21=67", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "683451722ca16088b9fc952e9be208ccf87a13c9a3608e087868f2765a0c00c2"} +{"episode": 911, "episode_seed": 2203605925, "split": "train", "timestamp": "2025-10-28T03:42:48.957053", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2203605925, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 6, 0, 4])", "action": "('move', [4, 6, 0, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "68-60=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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xJNoXh7xP4xtNUt0uGjIaZLNcJLKI94DMr7VZ8YyTWh/wTu/Zu+A/wc+LPgDxb8L/AIWaVoup+JPAN3Lrt9axsZLxvJsZPmLs2Bvdm2rgZPTgY9i/4KQfBX4UfHDQ/h74B+LXgOx13RpPGM872F2GVDJHpV8UbKFWyCT3r8ow2U4irw/UxKryUY39zWzt8/0P27xD8Rct4w47oY3DUJYeKhGDmrOr9q7snFPRuKXOrx3avZc9/wAEiRHpnw8+I/g34fs7/C/Q/iPdW3wwkjRTai0aGKW9itJVz59umoPdoj5YcEBjjj65rxj9gXwr4b8C/s3Wngvwbodtpmk6V4l12103T7OPZFbwpqt0FRR2AH4nqck17PX6RktN08ooRbv7kfxV/wANkfjvEuPhmme18TCNlKXXd2SXNJ9ZztzTfWTbCv51f+DhPxb8cNd/4KQeI/D3xWm1FdE0iwtE8BW11Fst1014UZ5YAOGDXHnhn5JaPaT8gA/oqrzT4/8A7HP7L/7U99oup/tC/BPQ/Flx4ekd9Hm1W3LNb7ypZcqRuUlFJRsqcdKwz/Kqub4H2FOfK7p67Pyf5+qPtPCTj3AeHfFTzPGYd1oOnKGluaLdmpRvZX05Xqvdk/R/nj/wT/8A2lPEfiz9kLwbrfx7/bp1vTvEslpNHPaXXxAsbaWO3SeRLbcjguCYFjOX+Zs5bkmvu39mX4ga7491RdX0vxifEGiz2BJ1NL1biGQrhFdZE+QsSpB29fm4yOPZo9PsIo1iisYVVVAVViAAA6AVKiJGu2NAoHQAYrzsHw3jMPiqdWeMnJRd7O9n5fE/y2Plc74gw+b4/E4mnhY0lWnKSjG1o80m7LRaK9ltsLRRRX1h8yfGX/Be/wAXfHPwb/wTb8V3/wADJdRhkub+1tPFVzpcW6WHRpC63JJHzIhPlo7L0R2zhSxH4/f8EXPip4u+H/7VFxoVn8Z7zwV4Z1fQp28T31rrNvYLKIUY2ytLMCM+c4AVeTuPbOP6E/2pYIbr9mP4jWtxEHjk8B6urowyGBspQQa+dv2Af2dPgZ+z78ctX0L4LfDDS/DtrqXgtLi/isUYm4lF2FVmZ2ZjgcAZwMnA5OfhOIMBVxXEOGjCq4OaaTX2eVN6arc/cOEfEfLsi8Lcy4fq4JVKlaV1PSz5uVXnfXmp25oWvrba135jr/hj9kf4+a+NR+LXxV0L4pXem6PdR20XjDxda6pHplmwBuZYogwSDIC759oZQifOu0V9A/8ABKbXvGev/sjWr+I9T1O/0az8T6tZ+AdR1dMT3fhyK6dNPk3dZE8kBUkPLRqhyQQxwP8AgoV+zv8ABD9oH4s/Drw78aPhnpviKxsND125s7a+DhYpTcaUpcbGUn5SRg5HPSvYv2MLS1sP2U/ANhY20cEEHhq3igghQKkaKuFVVHCgAAADgAU8hwNXB8R4inOq5uMVdvrez11e2y1PisyzujX4QpYRc0pSne0rclJR59Kerd5815e7BK1rSvdenUUUV90fCH5uSfEjTPsf7RWp/tK/ES603XLTxlrtn4hXVZo4J9L0QK0OkLaxNgeTJZtFJCQD5088uCzkiu0/bR+I/wC2Zpn/AAQuPj+BNbtPifcfD7SW8ZS29iI762hkEQ1GVkUAwsITKXZQGjG4/KVyK/8AwUJ/Zx+BXxW+Onjz4l/En4W6XrWu+G/htZNoWpX8bM1oVTUpFKruCthwGG4HkV9pfEhifg/rzMck+GronPOf9HavhMnwM3jsxpe0eul+vvXd/VH6hiuJsnwuIy/H0cKpSjUp1ZwkoqCVOy9lC1/3ctW7pbQVnyuUvwF/4N09e+Melf8ABSXRNL+GtvdyaHqWhahF488i1EkcenLAzxPIxH7sfa1tQGGCSwXoxr+h+viL/gnN+zn8DPgH8ZtHm+DXww0zw9Jrnwwu5tXlsVcvdOs+klSzOzHALuQAQMseOa+3a9Dg2m4ZKne95Sfp00+6/wAzbxk4zwXHPGLzDC0PZRVOENbc0rXfNK11fXlWr92MfRFc78W/C/wx8a/DDX/C3xp07SrvwleaTOniOHW2VbT7HsJlaVnICKqgsXJG3buyMZroq/OP/g5k8XfHLw3+xNoumfDafUYPC+reKFtvHs9hH8pt9m63imccpE8wGezMEUnkA+7mWKjgsBUryjzKK27/APA7+R8jwTkNbifizB5XSrexlVmkp/y21utve091XV5WV1ufaH7Kfwx/ZR+Gvwhg0D9j/SPCkXgyW+nuIX8J3kd3aTXJYLK5mR38x8qFJLEgIF4CgD0mOCCI5ihRSepVQK/nx/4Ia/G7xx4T8XeL/h3rn7R+qeCvAw0r+0BbxeJrfT4JNVaWGNWUzg5cwrJkJ1CLu6LX6pfB/wCMw8QXTeH/AIdftHXXjW8juFuDEPE8GozRZwgBEHIjPowxkmvk8Pxpgo4eMfYST0VopW+X6aeR9T4icB43hji/E4Gri/btNS9pJvnfMlL37397XXV9+tj6/opkBmaBGuFAkKDzAvQHHOKfX3Kd1c/Lgr+Ur49/FP8AabP7Y+vfFb4sa1q9l8VNP8Z/abq6vIxHc2Oo28w8pVQ5VBEY41RR8gVFA+UCv6ta+Avj7+zj8C9f/a08Y/H/AFz4XaXdeM9O+JXh2Gw8Qzxs08CLDoqrtBbZkK7ANtyM8HOK+O4yw8quHoSUmvfS/wDAuvqraerP2nwa8Qsv4CxWYPFYRV/bUrLa6cW/dd/+Xc+b37Xfux0ZiXvj/wCD/wAUfhdB4N+OP7aE2tWWq6Tbp4n0DUvibZrbXbFEaaCYQlCYy4ZWQMAy5U5BIPSfsY+FfB3wv/4KKXvg79mvw/YaX4f1P4aPc/FLSvDthClha3sVxEujySeWMQXEkUl9hBt3xoHKnO8/T/7a/h/RNb/ZH+I2i6tpUE9peeEb2C6geMbZI3iKspx2Kkj8a8o/4J7fAf4Ofs9/FPx54O+Cfw707w3plz4f0W6ubXTkbEsxudUXezOzMx2qoGTwBxivOhlWIwPEmFhUxEqjak7u99E9NW9H1Pl8FxBh4cP42PLJc6cVSVvZXnZOctfihZOCUH70YtyXLZ/VlFFFfoZ+fHxN8efGOvRf8FG9X8P/ABP8R3Nlpdn8N7ST4aWF5IsNndCSWVtXmiJI86dDDaBxyY4ucBTk+KfswftFaHq9r48TUf23dS0nQ7T4m6vD4Ntk8a6fZRnTd0blokK5eL7U92EkOd6BSCRgn9BP2hv2WP2ev2r/AAxZ+Df2ifhRpXivTtOvftdjb6kjZt5thQujoysuVYggHB4yDgY6/wAO+EvC/hLw/Y+FPDHh6zsNM0yzitNOsLS3VIraCNQkcaKBhVVQAAOABXxmJ4YxlfM6uJhiXBS7Xv6PVaLofdV+JclnksKMcNetywhK6ioRUFbng9ZOdSyc7pWfNrLmXL8t/s/eGPB3xN1rQbjwR4xGvWGneI/7VutastTjvPtF0kjzSNNMmVLPI5LYwctxivrWmxxxxLtijVR6KMU6vbyXKf7Iw8qbqOblJybatvbzfbufI43F/XKily2SVrBXh3/BSbxJ8VPCH7D3xC8RfBm81a11220qHN5oNv5t7aWLXUK308C4J82OzNxIpALKUBAJAr3Gjr1r069J1qE6aduZNXW6urXXoVleMjl2Z0MXKmqipzjJxe0uWSfK99Haz0eh+Ynx9+MvgvwD4j+BmlfB79oGPw3Dfa6tsl1omv2kYl8M/Y5BPI00hYJFugtwsgPzOpUEnivUfDfxF+GPi7xTp9p/w1MfGeoxSSNpGmah42tL5o5TE6tJFFFhi/lNIuecKzcdx9OfA39jL9lj9mnxBrvir4D/AAN0DwxqHiVw2tXWmWpVrjDs4UZJEabnY7E2r04+UY9KW1tUYMltGCOhCCvhqPB2NWG9lLFtJ3vFJuP/AKUr+eh9Nm/EGT1K1OOBoNxgvjmoxnJtt6qPMly35V7zulfS/KuM/Z48Et4B+F1to8gnD3WoX2oSJcgBka6upbgrjAwAZMAHnGM5NdvRRX2+FoLC4aFFO6ikvuVj4+rUdWrKb6tsKKKK3MwooooAKKKKAPmn/gqx4h8Y+Hv2Y7H+xNU1DT/Dt/450ey+I2o6YoD2vh2Wfbds79YoWPlRyyD7sUj5IXcw+ZPjP8dNI8N/tf8Aw48O+Fv2kn8LWt94Y1eXxedI8Q2drF9h8uKSxkkmkztLTsPLAPzozEAqCR+lGsaPpPiHSLrQNe0yC9sb62e3vbO6iEkU8TqVeN1YEMrKSCDwQSK4L9nr9kf9mz9lHQdQ8Nfs8fB7R/Ctlqt2tzqUenxMWuZVXYpd5GZiFGcLnA3MQAWOflc34fxOZZlDE067gkrdbrf4dVvfXVfM+2yjiHJ8FkksPiMPz1Y+0UdI8kvaRUeabfvKVP4oWUk3y/Byty+ZfAnjr4e+MvF8P9j/ALRB8d63FaSR2NvdeLbbUZ7eFnjaURRw4IDNHDuOD9xOnf64+CfglPhx8JPD3gaOSZhpmlRQ5uCN/A5zgAZ59K6VLa3ibdHAin1VQKfXTk+RTyzE1K9Ss6kpJK7Xbzu7nzWMx8cVTjCMFFLt/wAMgooor6E84/Nx/iVpa2n7RWq/tLfES503W7Pxlrtp4iTVpooJtL0QK0OkLbRNgeTJZtFJCcETTzy8s5IFX9nz9oKHxr+zt4Q1T44/t1akviLVfC9rJ4nsLr4hafCDPJEDLG8QUbM5wV4IyRwa+3/ij+xl+yz8a/ivoXxy+K/wO0HXfFvhryv7E1y/ti01v5UpliHBAcJISyhwwUkkYzXpRs7QnJtY/wDvgV8OuFMd9Zq1I4txUnfS93/i1Wq+Z97m3E+SYvCRjh8L+8k4ylzKKjDljy8lK13yNtyd1F6QjZuLlLwb9lbwdpOo+MLf4maDMH02y8MSadpktpIr2s0NxJaygo4zvwtsmCDjDc5yDXvtIqqg2qoAHQAUtfS5RlqyrAxwylzWvra27vt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"info": {"equation": "68-60=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "561bcea522a6d824798806c0ba576c25393f70c5a8c110e32a27845bacae3c7a"} +{"episode": 912, "episode_seed": 677188218, "split": "train", "timestamp": "2025-10-28T03:42:48.993726", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 677188218, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 7, 6, 4])", "action": "('move', [2, 7, 6, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "33-7=26", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "33-7=26", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "1b548a23943a714c27bd2797ceaeb6d9fbd11f891de29319000e95078423e2c2"} +{"episode": 913, "episode_seed": 3548463982, "split": "train", "timestamp": "2025-10-28T03:42:49.040832", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3548463982, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 1, 3, 0])", "action": "('move', [4, 1, 3, 0])", "reward": 0.0, "image": 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", 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", "info": {"equation": "25+76=101", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", "info": {"equation": "25+76=101", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "3e9b863de42093861fb70ec18e8725898c1d63370fed651e7dff71aedef5597f"} +{"episode": 914, "episode_seed": 1666331173, "split": "train", "timestamp": "2025-10-28T03:42:49.088047", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1666331173, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [8, 6, 5, 4])", "action": "('move', [8, 6, 5, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "320/16=20", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "320/16=20", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "a52669472f9400480dd97f33d40722e2109b6f001bb2e33accf5bb711ce4f3d2"} +{"episode": 915, "episode_seed": 2327067196, "split": "train", "timestamp": "2025-10-28T03:42:49.120225", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2327067196, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 5, 5, 1])", "action": "('move', [3, 5, 5, 1])", "reward": 0.0, "image": "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", 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", 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", "info": {"equation": "11-3=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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wODlQcfpz4pX9mT48ano3h/4sftE2fxISz1JLjRfDfibx1aX9q1792OQWiFVnkAJCh1cfOwA5NfWX7IHwi/Yu+F/w6vLL9inRPBkfhq81RpL+48HahFewzXaogIeZHk3OqbPlLfKCOBnnif8AgpT8Jvht8YPh54E+HnxN8G2es6JqHxGi+2adcqwSXZpWpSJkoVYYdVPBHSvhsRw1i8Jk85vFNxjFvlV+V9bb/off8ceIWC4t8QFmNDCywq92HMkvbaXTnJJx9+z5bc691JOR5D/wTa0zSvAf7cHxR+G37OmnQW/wsHhi2v8AxRaaRbRf2Zp3i9rgRtDDIn3JWtF3SwKcRlEBVMKD94V8y/8ABOD4V/Dn4LJ8Rfh38KPBtjoOiWfiKxe303T4ysau+m27OxJJLMSclmJPTnAFfTVfVcMU3TyOjdt3V9el3t6I/OeMMzpZrnk6tNOyUY80rc8+WKXPO1/elu9XbRc0muZlFFcT+0pqnxQ0P9nbx5rXwQspLnxnaeDdTm8JW8VusrS6mtrI1soRvlcmUIAp4OcGvdnLkg5WvY+fwtB4rEwoppOTSu3ZK7tdvol1fY81s/2ev+CbcX7Y83xGsfCvw3Hxu+0NeTRpqcB1dZjbAtObPzMiQwneZPL3ENvzklj759js/wDn1j/79iv5JY/iz8bPD/xub4y/8Jtrtr4/ttfbUJNdknddQTURIWaRmb5vM35BB9wRjiv3N+Gfx903UPhp4dvviF+3zqlv4gn0Czk16D/hZOnJ5V60CGddqqQuJC4wOBjAr4PB8Z4KHPzYdxu2/dS183tr3P3fxY8J8y4OhgalXMvrPPDkXO3eHJbSCbl+7973drdtT9EERI12xoFA6ADFLXhX7PHxG8R+P/EVrreg+Lzr+jXcJM1/BeLcW7qoKh1dCUzuUj5TyQ3cce619VlGaU83wrrwg4q7Wvl1/rrdH4Xi8LLCVeRtPS+gUUUV6hyn8/H/AAcg+NP2hdV/b7u/BfxMl1OPwRpWk2knw5tpodlpJBLawm7miI4kc3QlRmPzARovQLnv/wDgiV8efFdl8BvEPgr4j/tV6l4P8OaHq0UfhDTE8V2enJmXzprsqso3uPMeM5PALkA9QP0V/wCCkHwH+D37QfxQ+GnhD41fD+y8RaZa6N4hu7ezvi4WOdZNLQOCjKc7XYdcc9Old3/wT08FeEPA/wABLzwZ4P8ADVlpuk6V411u107T7SALFbwpeyBUUeg/MnJOSSa/NZ5VXxXFNejTryg7c3Mt7Pl93daK+noj+hc58VcqzDwhwfDyy+KqU+SLl7vKuS/7yOjftKlvful8U9Xc+XtV+HX7Fnxp1/WPG3xP8ZeGPiZqiaC0Gqav4v8AFFtqkmnaWvLBTuC2cIJLGVAhDMx3gmvcf+CPWqeNL/8AZFl0/WJNQm8K6V4y1TT/AIWXmp2ixS3XheJ0WxcYA3xj96sbkfNGiEZXax5H9tj9l79nv9oT9sBJPjX8JtK8RnR/h9pJ037ergQeZqGp78BGUMG8tMhsj5frX0D+w9b29n+yL8PbOzt44YYfDNvHDDEgVI0UYVVUcAAAAAcACurh3BVMLxHiISqOTgtW/tXs9dXsfnmbZ7RrcIUsJec5TlF2nbkpKHMkqXvNvmT952gklbllo16rRRRX6AfnoUUUUAeQftP+HBfaroXih9EWRtOt7qCHUFVi0CzNCZIzjgKxhiPPdBiuh/Zt+H7/AA7+G72EouFl1LWb7VJo7kANG9xO0pXGBgDdwDz6131FePRyiNHOKmP523NJWttt1+R2Txjng44fl2d7/f8A5hRRRXsHGFFFFAGD8UtEj8TfDbXvDU+kx38Wo6RcWtxYy52zxSRsjocEHlWYcc81478BvhxLqPxZ0/x3cQ3UI8Pabe2kalNqM1x5AZWyM7lEI4BGM89RX0BRXj4zKI4zMqOLc2vZ9Lb/AD6ee/yOyjjHRw06Kj8XUKKKK9g4wooooAKKKKACiiigAr8u/wDg6E8a/tDeHf2efAvhv4fTapB4A1rVr2Px/PYw/unnT7M1hBPIOVRj9pYKflZo1zyqiv1ErE+JHw28B/GDwJqvwx+J/hSy1zQNbs2tdV0rUIQ8VxE3UEdiDghhgqQCCCAa4M0wc8wwFTDxlyuS3/H7ns/I+t4F4kw/CPF2EzivQVaFGV3B21umrq+nNG/NB9JJH86f/BGH43fE34f/ALSMngHTvjzqngvwRq9hcXfitrbXoLGB5IYHFs5efKh/NdF+X5mBwcqDj9VtK+JPwm8V+JNLttQ/ayHi+8gvfM0bStU8d2d2BdtG8QeOKPazS7JJEHXiRuM4x9Y/s/8A7Kv7O37K/ha78F/s+fCPSPC2m316bu9t9OhOZ5toXe7uWZsKoABOB2xk13i2lqrBltowR0IQV8lS4PxywvspYxpdYpNx/wDSl+R9Z4k+IuW8a8VzzXC4JUo8sYq9ueXL9qdk1za23doqKvoeX/su/D9/Ctl4h8XzC4WTxLqUFwY5gAoWK2igUoMA4ITOTnOcjivVKKK+wy/BxwGChh078qtfuflmIrPEVpVGrXCiiiuwxPJbf9hH9j60/aBf9qe2/Z88OJ8QJLprp/EotT532ho/LabbnyxIVzlwu4kls7iTXq32Oz/59Y/+/YqSis6dKlSvyRSu7uytd935nXi8wx+PcHiqsqnJFRjzScuWK2irt2iuiWiEREjXbGgUDoAMUtFFaHIFFFFAHwh488ZeJrv/AIKVfEfw78Y/Ed5a/wBn+H9Lh+Eek6g6w2tzpEtrHNqNxaDI+0TG9idZW+ZkSCMHaoBPj/wC/aR0fVfjj8Y9Mt/20b3R/BFl4ptW8JR2njGwsrZ7maBpdS8gkEzxCdkIkyV+Y4J5A/Qz9oj9k79nL9rPQLDwx+0Z8ItI8WWWlXZutNj1KNt1tKVKMUdCrqGB5UHDbVJBKrjqfAnw58B/DHwZpnw8+H3hKw0jQ9FsktNL0yxt1SK2hQYVFA/n1JyTkmvia/CuNq5nVxMMS4KWqavza9N1oumvbQ/Qa/FGRTydQjhr13Tp02moqnD2fJepB6yc6nIua8Vbnqe9Lm0+Pfhr4q+Hvi7xVdXvhT41p461+W1hjnnk8SwaldpbRyOY4wIeVjEkzkfL96U88gV9YfAvwDH8Lvg94c+H0UszjSdKig3XBBc4GfmwAM8+ldTHbwRHdFAin1VQKfXqZNkMsqxFSvOs6kppK7X56u58fjMesVTjCMFFL+uyCiiivojzgooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAPnT9tL/gqj+xt+wR4p0vwL8f/ABpq/wDbuqaTPqy6N4Z8M3mrXNppkJxNqFylrG5t7ZDkGV8LwfQ17h8NfiT4D+Mfw+0X4rfC7xVZ654c8RaZDqGiaxp8u+G8tpUDxyIfQqR15HQgGvy6/wCCkvhj4y/sy/8ABUj4i/tZ3P7M/j/4jeDvi1+yRqHw68NTeAPC02sSWWv/AGkyJaXUcIJt4JRg+c3yAsc9DX2N/wAEbf2dvin+yh/wTE+DfwB+Nli1n4q0Dwii61p7yh2spZZZJ/s5KkgtGJAhwSAVIFAH01RRRQAUUUUAcr8bvjR8Pf2ePhTrfxp+KurTWXh/w/afaNRuLaxluZQpZUVUihVpJHZmVQqqSSwrjv2K/wBtn4Eft+/Bb/hfn7Ouparc+HhrN3pTtrOjzWFwl1bMFmRoZgHXaxxyOufSuz+NXxY0H4F/C3Wfi14n0DX9UsNDtRcXOn+F9Bn1PUJl3quIbW3VpZmywO1VJwCegNfn1/wbUePdY0b9m3xh+z147+CXxL8I+Ibb4jeIfE+fGvw81HSbWewvr8tb+VPcxIkkpUgtGpLKOooA/S2iiigAooooAK+WL7/gsr+wjo/7SWnfsv8AiPxt4j0jWtY8USeG9G13WPBGpWuh6hq8b+W9lBqMsK28sok+T5WI3cZr6nr8g/2mP2jr/wDbs/4KneGfhj+0/wDs3fGzw38EvgT8Q7e68FWOl/BjWL1fHPiiKZoY9Sub2K3MVrpkDfMmG/eq29mCsQoB+vlFFFABRRRQAV43+17+3T8Dv2JtG0zVfi/Y+LtQl1j7Q1jpngvwVf63dmKBA887xWcTmOKNWUtI+1Rkc17JXx5/wWH8cfC1fgra/Bv4yfDP9o3UdG8RQ3Vzb69+zzp+oy3VvdwxGNLS5fTm81UmE7EJIpgcx/ORtFAH0B+yt+1R8Df20/gXof7R/wCzl41TX/CXiCORtO1Bbd4W3RyNHJG8cgDI6OrKykcEV6HXxn/wQD+F37RXwY/4JXfDf4a/tOfDv/hFfEGlpepZaJPp8VrdQaabqRrQ3UcQCrcNGQzkjcSct8xNfZlABRRRQAUUV5f+2tY/tH6r+yZ8QtJ/ZBazX4m3nha6t/BMt/crDFFfyJsSQu5CqV3FgTxuUZoA5L9nv/gpj+yH+1L+1N8RP2O/gh8QLjWvGfwtU/8ACXpFpsgs4GWVYXSO4I2SskpKMFJwysOxr32vxp/4Ix/s7ftj/sv/APBXHxT4V8Z/8E+Z/h94SX4FaJoWr64fHH9q2qyW5803y362cUepXl1cFnmiQq0RlZiWAxX7LUAFFFFABRRRQB8u/Gr/AIK5/sv/AAQ/aK179lrUvBPxV8TeLvC9tYXHiC28BfCrVdch0+O9jMls0stnC6oHVWxnH3GH8Jx9QxuJEWQAgMAQGGDX44f8Fjfhxr+j/tE/Eb4kfsQfDn9rvR/2oPEl/wCG7fwprngKzvIvB2sRWoiVGuZof9Ekt0ie5VluzvWQnACMc/rx8Ph4wHgHQx8QzAfEA0e2/tw2uPK+2eUvnbMcbfM3Y9qANiiiigD/2Q==", 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", "info": {"equation": "11-3=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "76c756ff4bec2d22c2872aa0a13ffa3beb5c133b4b22af9e5cbaa2b3fb0f8b61"} +{"episode": 916, "episode_seed": 2534003550, "split": "train", "timestamp": "2025-10-28T03:42:49.166325", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2534003550, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 0, 2, 7])", "action": "('move', [0, 0, 2, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "15+95=110", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "15+95=110", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "7e4d6d145bf7d598fd6e56e7242570357523ed8001d101cf163084afef83124f"} +{"episode": 917, "episode_seed": 3395090460, "split": "train", "timestamp": "2025-10-28T03:42:49.212942", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3395090460, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [5, 0, 2, 7])", "action": "('move', [5, 0, 2, 7])", "reward": 0.0, "image": 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PC1ho9x8NLmPMQtoRFHN59uRwT9t+0Zfruj2nhAB+inwz+KXg/wAZxeGoPEv7VsvivXWtYJRoN/43s7sfb2t8SFIIsEuu6UADOATxXZ/8FAfgl8JviR8d9M8eePfANhqur+FPClrceHL+8Rmawla+mJdBnaTlEI3A4KgjBr7DW1tUbeltGCOhCCvz7+wq+Y5njIRxEoLmV1unzK9nqttvQ/XeLPEDAZzwrkmApYNQnhKThKWnvNcqvGyvZ8vPK/25P1fN/BbwkfA/wt0bwyxl3QWxdhPjeGkdpCDgDGC5GPauooor72hSVCjGmvspL7lY/IJyc5uXc+WP22PE+s6X+1N8LNG8Q65PY+FpfD+vXNksjrHaXOtp9lSNZHJGZFs5L5kQnkeawB2Ej56/an+I3x7f/ghH468U/DrVdWuBPrWpWmn6pBbKJpvCb63LEsoKDmFrIgeaPvQndnB3V9Xf8FDfhJ8Nfjf8NPCnw9+LXg6113RLrxxFJcadeFwjsmn3zIcoykEEA8Gjw94f0OD/AIJr3nhODSYI9Mj+FuoWcdhHHtiS3FpNGIgo6KE+UAdBXyVXCTnn2L99rmo/dfT8LX+bP0XKOI8ryvB5biHhlOpQrQlJNR5ZRpzlPR7tz51GV1Zcid5XtD4O/wCDVLWPiZL4D+Lmg30Vz/whsGr6bPpkjQAQ/wBpvFKtyFfGS3kpaFlzwNh43c/rfXzp/wAE7/hB8Mfgb4d8ZfD34Q+CbLw/osOv288enWCtsEklnCXcliWYk45JPAA6ACvouvV4ag4ZHQV76X+9t/gcXiXxFhuLOOMZmtCl7KFSStHS/uxjG7tpzStzStfVvV7nx1/wXm8SfFjwx/wTJ8eXfwllvYpLh7O18QTafHmRNKlnVLnJHKoykI5H8Dtngk1+cX/BDL416/oPw38b+CPGn7UWp+DPDVhqdpP4f06PxZbafG1zMsv2pkWYFm4jgJx8oJz1Y5/dTxR4Y8PeNfDWoeDvFuj2+o6Vq1lLZ6lYXcYeK5glQpJG6nqrKxBHoa574LfAL4Nfs6/D61+FXwS+Hem+HfD9lLLJbaZYRHYryOXdiWJZiWJ5JJ6DoAK5c2yHFZjmMcRSrumlG2l779LNaPrr0PZyfxBy7LfDLFcMVMGp1ataNRVHayS5b33fMuXlXTlnLa3vcR+yh461Hx1bS6lYeOn8S6N9hRYNY/tBLpJpEITIlj+RmIVt2O46Zr2akREjXZGgUDsBilr18swU8vwiozqObTbu99Xfu/zPzTFV44is5xjyrsjmfjTfeN9L+DnizU/hnbPN4kt/DN/L4fhjhEjPfLbuYFCtwxMgQYPB6V/O3/wSN+M/xO8M/tuX0viD466z4Ss/EllqEvjzVX12Oye6lVZJUM8lxwZPtLD/AG8uw6Fq/pKryn4EfCH9jnwN8SvH/iH9nnw94Ng8VavrCyfEZ/D93FNdC9LyuFukV2MDl2mbYQuSWOM5rzM8yatmmIozp1vZ8t/XVbrVa6a67H6ZwPx1g+GOEs5yytg/bPFwjFSsrQs2vfbvoubmhb7aXe6+Fvjho3wQ1fRLj46/DbxxZ+NPivaeJ9D/AOES8Vf2zbavq41ZLpEsbKJgSFjcGYNAoCsjTSMCVLr+n9fHPx5+B3wh179u7TvjXrPw+0658V6FrHhW10fXJUYzWkL3g3KgztGfMfnGfmODX2NXNwxhZ4SrioSm5tTtd9bLfrq76+h8xxFmtPHZdgqMXJuEZNuXTm5UqcdX7kFC8fh1lK0Vuyue+KtvpVx8PtUXWW2wrbFlYKCVcfcIB77sV0NeJ/tgfFRvDHhO40fRrCW+u7SITmyiHNzO2Ft7cHBOXkZR04yDXrZ5iqeEyupKSvzLlS7uWiX9dD53A0pVsVFLSzu32SPO/wBlHxD4W8aftca7b6jC5uvC/hprXw68kUZilmeWJtSeNt5bfGHsIj8i7d7jJ3ED6wr5OvPgdrf7ON78PtU0K6W61XQbpL/U7p3Qf2jJcbl1Zd5iAHmmaSVQAvzrFkqBkfWEciSossbBlYAqwOQRXn8Lv2GDlgpq1Sk7Nd76p/P9DpzRc9ZV4u8ZrT5boWiiivpjyz88f+DlzxH8WND/AOCftnYeAJb2PRNT8a2dt40ezjypsvLleJZWHKxm5SAehbYp64Nf/g2V1f4mah+wJqmn+MYbgaHY+OryPwi88AVWtmjiecRtjLqLlpuecMWGeMD68/bk8HeF/iF+zHr3gfxtosOpaRqt9pVtqNhcZ2TwvqdqGQ7SDgj0INZ37A/gTwd8MPgTL8Pvh94cttI0XSfEuoQadptmpEcEfm5wMkk8kkkkkkkkkmvl3Qa4uU+Z60r2+drenX1P1RcaYP8A4hC+Gvqy9p9Z9p7TTa179+f7F9uTS/Q9rrkfjx4R+C/jv4Qa/wCFP2ibLRbjwTd2JHiKPxDcLFZCBWD7pZHZQgVlVg2RtKggggV11fnH/wAHNviT4saL+wtoml+B5b2Pw9qnjW3g8ZPaJlGgWKSSBJmHKxmdEPoXVAecA+1meKjg8vqVpR5lFPTv6+XfyPleB8jq8ScXYLLaVb2MqtSKU9nG2t47e9p7uq962qPvP4OeDvg/4P8AhV4f8M/A7StGh8H2elQp4cTRHSW0NptzG0TqSJFYHdvyd2d2STmuoVVUBVUADoAK/Fv/AII1fHnWIf2RW8PfE/8Aa/1Xwva6N4kuLTwvo7eNbSxWKx2RyHbHKC5Xz5JsE8dQOBX6tfs0+LNY8Z+HLvXrjXTqmnXLRy6dqInEqTh1JLRuPlZCNpBXjnivDyrifC5jiKeGhSlFteXKrK+nl0Wi6HXxrwtieGuIMbhKtdVXSqSXPd3lru7/AGtfeV3Z31e56XXh/wDwUr8R/Fjwj+wV8VvEnwOe9TxPZ+Drp9Ol02PdcRLgCaSMdQ6wmRgRyCuRyBXuFUfExYeG9QK9RYy4/wC+DX0tem6tCUE7XTV+11ufM5XjI5dmdDFygpqnOMnF7S5ZJ8r8naz8j+fH/ghl8YPE3gz4keM/BmqftDaj4I8I3GiJfXCQeJLfT4p9RWaOOI5mBy3lGbIXqFG77q1+vH7K1h4U8f8AjrS/FvhH4gHxRDpOo3N7e67Fq0V8bi5a1ktyJpo8qWCTL8owQFXsDnM/4Ji/Av4PfBIa/ovwm+Hem6Fa6n4W8P3+oRWUbH7Rcv8AbQ0jFySTgAYzgdgK+tY4o4htijVR6KMV8Fw/kNbE4bD4uWIlyxfModLxb21t+HU/RvFDjfB8WcW4rH4bDezjUUY625naCV5W0bfrsl2HUUUV+hH5UfzV/s7fGj9ovQv+Cs03jD4j/E/WvCnirWPHN7YfEDVZL6OxmhtjMwuoZGk+SJFWMAKeF8tAvKrX6NftEaN+yv8AFH4b+L/iP4y+L1l478RaH4Sl/sjXr/xLbarqGiujGS1NkqHEMrXflbdq7pZNkZ3AhD9yeEPhH+x3pH7Unij4k+CvD/g5Pi5f6TEni2eyu4m1b7GVh2NPCHLRowSD5yq7sJknivDP+CiPwN+EHxK+Lml+L/Hvw907VdT8KeDnvPDt3dxsTYTm6J8xACFJyiEbgcFQRivzLMuHcTgsBUqyxLceb4VezvJK71+Lq9N+p++8R+JWA4n4qwGMp4SWFVGhCL5ElJ8qcuWOsV7N6Ri23aHvcr+E+qfhLeeMdR+FXhnUPiLbND4gn8P2UmuwtGEMd40CGZSo4UiQsMDgV0FFFfpkVyxSPwatUVWrKaSV23ZbK/ReSPzy/bH+J8/hjx/+0tf/ABJ+IN3o15o3huyHhDz3ija20w6UGtZ7NH4lL6nJeJuwd0qLHzgLXQfBT482d9baHDcfti3mveINQ0mGO60SfxzZ3JkumiVpVSGIBi4YNgKeMGvrH4k/sw/s/wDxg+I/hb4vfE74T6RrXiXwVOZvC2sXsBabT5CyvuQg4OGVWXcDtYZGDzXcLa2qNvS2jBHQhBXxlbhbG1sXWqxxTgpybsr7Po9VtsvI+wx/EWU1sBh6dHD/ALyMYqbaiknGEYJRau2pcrnJtJ80rWduaVLwhNq1x4V06fXUK3j2cZuAwwd20ZyOx9fetGiivsaUHTpxg3eySu+vmfGylzSbta58r/tseKNZ0v8Aam+FmjeIdcnsfC0vh/XrmyWR1jtLnXE+yrGkjkjMi2cl8yJ3HmsAdhK/N/7PXx38DeKvhhqNp40/bQul0mTxRrlppui3njewtrebR1v547eMwgA+U0AAHILIQc85r9Bvjr+z58F/2mvAMnwu+PXw70/xPoEl1FctpupIxQTRklJFKkMrDJGQRwxHQkHpNG8NeHvDuj2nh/QdEtbOxsLaO2srS3gVI4IUUKkaqBhVVQAAOgFfKY/hvF4zMqmJhiXBSSVle+itbdadfmz6/wDt/Ko5BRwqw960XZtqPLZOck09W5S50pJpWUE05c1oeffsweFxpWgav4oDSf8AE81COZd2NhWOCOIMnHIO3rz7V6fQAAMAUV9Fl+DWAwVPDp35Va/c+UxFZ4ivKpa1wooorsMQooooA5n4033jfS/g54s1P4Z2zzeJLfwzfy+H4Y4RIz3y27mBQrcMTIEGDwelfzt/8EjfjP8AE7wz+25fS+IPjrrPhKz8SWWoS+PNVfXY7J7qVVklQzyXHBk+0sP9vLsOhav6Sq4L4W/sufs9fBPxl4p+IXwp+EmjaFrXja+F54p1GxtsSajPvkfe+SQPmlkbC4BLk4zXzud5LiM1r0Z0qzp8l9r316qzWvTfY/UOCePsv4V4VzfKq+EVWWMhGMZaWi1dPmvrZX5o22ml3uvnz4CR+Dfiz41tG8LfF2TxpPb67Y3uqasuvwajPGLaVZoo5Hi+VE/dkAEAnc2Dk8fYFNjhhhz5USrnrtXFOrqybKpZVSnGVV1HJ3bfol3f5n53jMWsXOLUeVJWsFcxe/C7Sb34iQ/EKS7fzIkG622Da0gXar568Dt6gfQ9PRXoYjC4fFKKqxvytSXk1sznp1alJtwdrq3yZzXxG+GmnfEaC0ivb+S3a0mLB40DFkbG5eemcDnt6GuighitoEt4V2pGgVFHYAYFPopwwuHpV51oxtKdrvvbYJVakqag3otvmFFFFbmZyPx20ka38LtSsW00XShoJjEQTgxTJIHGO6sgb/gNUv2dfCZ8J/DkBxMG1LUbm/ZZhgqZXzgcDjABGfWu7orz/qCeafXebXk5LfO9zo+sP6r7C3W9/lYK5/4qfCv4d/G74fap8Kviz4Rs9e8O61biHVNJv0LRXCBgwBwQQQyqwIIIKgggiugorvlGM4uMldMzo1quHqxq0pOMotNNOzTWqaa1TT1TWxg/Dr4X/D34S+BtK+Gnw28IWOj6DolklppWmWcIEdvCo4UZyT6kkkkkkkkk1uqqqAqqAB0AFLRRGMYpJKyQqtWpXqSqVJOUpNttu7berbb3b6sK8c/4KDa5498N/sXfETW/hreajbarB4ecm70eHzLu2tS6C6mhH/PRLYzOpGSCoI5Ar2OkkjjljaKVAysCGVhkEHsazr03WoSpp2umr9rrc6suxUMBmFHEygpqnOMnF7SUWnZ76O1noz819a+N/gzw7+1BpPhHwj+1G/hXw7J8LRc366R4qs7W3lIu4v7MbzZNxctBLeMqg4KbX6EE/VH7JnxHuvHGqQp4b+K0vjHSba3lhu9UbWI74bwdwDyxfJ5gLgY4O0j0FeifAj9l79nz9mPw9f8AhT4BfCXR/C2nanqT6hf2ul2+1ZrhlVS53En7qqAo+VQOAK7uOKOIbYo1UeijFfJZbwvjMHOlKeKdoO/Kr8vpv166dz3M7znK8VVcMFR9xRUVKSSnLq5SUbq93ZJSdkkruw6iiivsj5Y/mr/Z2+NH7Rehf8FZpvGHxH+J+teFPFWseOb2w+IGqyX0djNDbGZhdQyNJ8kSKsYAU8L5aBeVWv148ATeBPjVrV14W0D49TeOdS1C2S1uJm8UW+o3NnbF8HaIhiNMsSSwxnvX0/4e/Ze/Z88KfG/W/wBpLw78JdHtPHXiOyW01vxNFb/6TdwgRjaxzgZEMWSAC2wZJxXdR28ER3RQop9VUCvhafCGK1jPFPlcr8qTaet7vVK/yevc/XfETxJy7jPMMNicLglR9lQhTe26ve1l8Eb2it7b2vZPooor7o/IgooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK8f/bN/bq/Zy/YI+H2n/En9o7xRfWNjq2qGw0y10jRrjULu5lWGSeVkgt0aQpFBDLNI+NqJGzEivYK+B/+C3Hhz4l6B4i+Df7R/g/4LeK/HukeD18a6Nrmh+C9Ek1K+SbW/DN3p9lN9njyxi+0lInfpGs+48A0AfdPhXxR4e8ceF9N8a+EdYg1HSdYsIb3S9QtX3RXNvKgkjlQ91ZGVgfQ1fryL/gn/wDCbxn8Bv2Fvg58E/iLHs1/wn8MNC0nW4t4byru3sIYpY8jghXVlz32167QAVzPxm+L3gb4BfCrX/jP8S7+4ttB8N6bJfanNaWMtzKIkGSI4olZ5HJwFVQSSQBXTVyHx++IGlfCv4J+KfiHreia1qVrpOiXE89h4c0abUb6cBCNsFtArSTOc8IoJNAEX7O3x8+HP7UnwO8L/tD/AAivrq58M+L9Ii1LRJ72ze3leCT7peN/mQ8dDzXaV8i/8EKde1K9/wCCWvwo8G+IPh94t8Max4P8Px6Drmk+MvC91pN0l3Aqs5SK5RGki/eDbKBtYhgDkHH11QAUkkiRRtLIwCqCWJ7ClpJHEcbSMCQoJIAyTQB4l+yV/wAFCv2Y/wBtfxH4t8HfAzxFrD6t4Kltv7b0vxB4bvNLuPs9yHNteRR3UaNNbTCOQxzKCrbTjtn26vgL/gkP8WdQ/ae/ag+Pf7WHxX+EHxG8HeOfFV5Y6Xpmg+Mfh7qGkWmkeFdOluYdNt4rm5iSO7uZmkuLufyyQhuEQcJk/ftABRRRQB4jdf8ABQr9mjT/ANsey/YW1LWddtfHepxTHS2uvC95Hpd9PDareS2kN+0Yt5bhLdllaJXLKp5weK9ur89vjPp3in4m/wDBdH4O+Kfhd8H/AIuR3vgG31qy+IeteJdKuP8AhDI9Cm0hzBd6bLIWtxeyXcsMJeDbMVjkSQbVFfoTQAUUUUAeWftYftl/AL9irwn4d8ZftAeKpdMtPFfjGw8L6CltZvcS3epXjlYYlRATj5WZm6KqkmvU6/L7/g4P+CX7bHxJ8TeAviB8C/2Xl+JvhTwnLozWcNp4mFrdaVrknifS5XuPsqwSyXCtbWiW5mG1baK5uZW3KrLX6d6dNe3GnwT6jZrb3Dwq09usu8ROQCyhsDdg5GcDOKAJqKKKAPNP2sP2rvhX+xp8KB8Yvi9ba9cabJrVlpNrZeGNAn1S/u7y7mEMEMNtbq0kru7BQFBPNdT8JPiXo/xk+GmifFPw/omt6bZa7p6XdtYeJNGm06/gRhwk9tOqyQOO6OARXhX/AAVh8IfCHxl+yh9k+OPg74u6x4fsfFemajIfgfa3EviGxuLeUy291CLb9+qpMseXh+dSVPChiNT/AIJTL+0mn/BO/wCE6/teNrJ+IX/CML/bx8SNnUtvnSfZvtZ6/afs3kebnnzN+ec0AfQdFFFAFbWdY0rw9pF34g13UIbSxsbaS4vLu4kCxwxIpZ3ZjwFCgknsBXl37IP7bHwH/bk8CX3xJ/Z/v9budIsr8W63Ot+GrvTftaNGskV1bi5jQz20qMGjmTKOM4PBFXf21vhr4v8AjP8Asb/Fn4P/AA+I/t7xV8NNd0jRMvtBu7nT54YRk9Pndea+P/8Ag3o8NftD+Efgt438PfE3TfizY+C7G48PWngrTvjKs66pa30Wh2setxwLcfvEsF1BXWBR+6Cq3l/JigD9DaKKKACvnz4R/wDBS79nn4yftZap+xZonhr4g6R440yx1G+8rxT8PtQ0yzvbWyuUtp7i2ubiNY7iLzJECyRkq4YEE5FfQdfKH7Ofgfxn8Rv+CqHx8/ab8aeE9UsNJ8J+F/D/AMN/h/dalp8sCXsCo+rapc25kUCWJrm7t4fMTKlrMjOVNAH1fRRRQAV4F8av+CmH7JH7P37UPhn9kH4l+M9TtvGPih9PS1W18P3VxY2T388lvYJd3caGK1a5mikjiEjAuykCvfa/KD/gpH8G/jj4q/4LNfD/AMb+HfgT461eaPUPh23gHWdA0KSbwzLa2mtX82vvrsqjyvNtrWWOW0M53Ru+6H5iaAP1fooooA//2Q==", 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", 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", "info": {"equation": "20+3*1=23", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "20+3*1=23", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "fb0eab38d491f5679b21dbcb22fe0d9d28fa9fa424ea8d6bc05fe427dcff8fc5"} +{"episode": 918, "episode_seed": 2095066964, "split": "train", "timestamp": "2025-10-28T03:42:49.259162", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2095066964, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 0, 2, 7])", "action": "('move', [0, 0, 2, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "19+9*1=28", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "19+9*1=28", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "6a60e4537efdba33f08f047867f8863938ae9626cb951ae0da55161e52f3f3cb"} +{"episode": 919, "episode_seed": 3599060644, "split": "train", "timestamp": "2025-10-28T03:42:49.296471", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3599060644, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 4, 3, 1])", "action": "('move', [0, 4, 3, 1])", "reward": 0.0, "image": 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", "info": {"equation": "5*18=90", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "5*18=90", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "e920d0c1be344d8433423a1df675329e17523d4183551dc1da911aca74e021a4"} +{"episode": 920, "episode_seed": 748799139, "split": "train", "timestamp": "2025-10-28T03:42:49.333490", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 748799139, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [1, 1, 6, 6])", "action": "('move', [1, 1, 6, 6])", "reward": 0.0, "image": 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", 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", "info": {"equation": "16*3=48", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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"info": {"equation": "16*3=48", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "239328a95a538fd1f3e69d09f968f56da2ec2dcdd1d66689e98aee4aab6f519c"} +{"episode": 921, "episode_seed": 704308123, "split": "train", "timestamp": "2025-10-28T03:42:49.375239", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 704308123, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 4, 4, 4])", "action": "('move', [0, 4, 4, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "9+3*8=33", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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Z2sU0LAqbaaJCrojQ7VdNwJViD1Nfdv7Uvwd/Yn+KWq+Drr9rzQPBN5eafrGPBR8XX0UDteO0ZMUAkdfOZikeYvmDYXKnit39qrR9K1L9mP4i6ff6dDLBc+BtWinjeMYdGs5VZT7EEivh8Xw1iqmMxGIjinFS1sr3tbaWq0Wy30P2vPfEnBZrwTkuT08D7OeEverZK7Wl6b3vJ+/U1X7xLXqfMv7Afhjwj8Of23PHPgf4A6BY6b4On+Hen3vjDTtCsYU0+01wXTJZkGMYjnksvNLxjGUjhcgFgz/blfMP/BO74JfCX4Ba/wCO/A3wZ8A2Hh3SXg0m5ey09W2vMxvA0jFiWZiFUZJPCgDgV9PV6/CsOTIqOt73f4vQ/O+LswpZjncqlPmajGMeaVuefLFLmlZtXfa7sklzO12V/LR8aPjL+1hov7fHi74m+IvFWtaT8UP+Esv7S/upGWC4gZt9s1vhvkWLyD5QU/II8AfLiv6l68Y+MX7J37OEXiLxd+1TH8HdFHxDl8HX9o/iv7OftRi+xvF1zt3eWBHvxu2fLnHFHEGUVs1hS9nU5OR3/wCD6rp6vU+x8LfEPLuAf7RWKwar/WaXs47aPX3ZX/5dzv79rv3Y6M8A8N+OLfwf8a7PSoPiIdIutV8CWUFjpI1RITqRWedjtjOHleMDjZyods9a+0fA1xrV14P0658QowvXtENxvGGJx1I7EjBI9c14P+xwiN8SNVZkBI8CaLgkdP317X0bXm8HYCpTwccW6rammlHorSfn+i3Z8BnFeMqzo8qunv1egV4d/wAFKvE3xi8G/sG/FPxP8Anvk8WWXhOeTTJdMi33MK5UTSRDrvWEysCPmBUEcgV7jQQGBVgCCOQa+ur03Woypp2umrrdXW/yOTK8ZHLszoYuVNVFTnGTjLaXLJPlfk7Wfkz+bX/gi78XfGvgH9qS68O2/wAc9S8F+F9a0W4l8UXVtr0NjHO0KMbYvJNlSwlkwMfMQ7di1fof8f8Awp+x58T/AIc+Nvib8Q/ifpvjfWtO8LFU8Vah4jttU1PRxHvezW0Kn9w/2kgxoigyyttO/dtr7b/ZW+DX7Enwv/4Sr/hj/wAO+CLX7drX/FXf8Ijew3G29TdiKbY7+UybnxF8oXc2FGTXgP8AwUS/Z/8Agp8S/jdqHxA8ffDTTNW1nwt8NrSfw9f3cbFrGT7Tqb7lAIUnciMNwOCoIr8yzHh7E5flHPLEuUU17qvy6u11r89tz9v4p8R8DxT4if2rTw9TCxUIp8tlVlyq/vapLmdo3vK0FF8srcp9X/s+6l8Q9Y+AngjV/i5ayQeLLrwhps3ieGaARPHqLWsbXKsi8IRKXBUcDpXX0UV+oQjyQUb3sfhGIqqviJ1VFR5m3ZbK7vZeS2QV81ftmeLdG+Gs+peLdKtDdX6WUSx6cgQfar+VxFbQrllBaSR41OSPvZzX0L4q8S6d4R0KfX9UY+VAo+VfvOxOAo9yTXy94f8AAOpftLfHu8m1lJP7N8G2h1WSQsFSfXLlXSzQgxncsEHnSNhhhp4DgkcfJcVP66qeX0oqVST5vRRT1+ey+Z6WUr2LliJu0Vp6t/5Hrf7Een+E7L9l/wAKXHhOZpvt1m93rF1NAkc0+qSSu180yozBZftPnKy7m2lduSFFerV8/wD7I8WteBviD4r8Dyhf7F1m5/tewh3orWd+cJeRbAgO2QrHMDljvM+duVz9AV7WS4yljssp1KatZWa7NaNf10OLG0Z0MTKMtet+6YV+Cv8Awc3+J/jJf/tt6J4S8YS36+DrDwjBN4Ogkj22rSSsftkiEcPIZERWJ+YBIxwMZ/eqvlX/AIKMfAb4OfHrxx4C0n4y/DvT/Edrpeja7eafb6irFIZxLpi7wFYZ4JGDkHuK8/i2k6mR1GnblafrqlZ/ff5H6F4RcX4TgnjWlmWJoe1jyzjZW5o8y+KN9L6Weq92Uj5O/Y++MGg/En9iLwdoX7Rf7ZV9HPqnhdrPXfDt38QbOzjay3SRR28kabXjRrYRqRuDFWOSCTXu/wCwj4T8B/DT9uvX/Bv7Ofh/TtM8K3vwqt7vx1p/h2zhWwg1JLuJNJdjH/q55bR747RjfHGkhBJDN73c6bp1x/wT5kt5rCFkf4NlWQxjBB0nGK4D/gnH8C/g/wDADxP428JfBf4faf4c0660bQ7u5tdPVsSztJqSmRmcszHaqjk8AcV4WHyrEYLPsJ7SvKd1J630SW270dzKtxPhsVgszqxpumq0nalG3slzzvd6rWnpyJReqT5ly2f1RRRRX6Efm54/qnwb/YkvP2vbL4p6v4e8EN8ak0fNjPNfQjWTZiN4vNW3L7mUR+Ynm7CQoK7sDA9cW1tUYMltGCOhCCv5i/2kfjH+1ToP/BULxT8TvEHi/WtG+JOnfEWeC1v3kW3nskWUwQRpu+RIhblEUH5DGecqST+zngn46eEz4mjsNB/bOuvEN3eBre30m48e2d15zN/cjjAcvxxtOetfCw4ywdCVWMqDT5ntbXzltZ99z9o8RfDTMOFqGWTq49YhVqKau2+S1nyw1f7v3vcel/e0R9uUVi/Dy51u88E6bdeIg/2x7cGYyDDHk4LA9CRgn3rar7WhVVehGolbmSdnurq+p+NVIezm49nY8l/by8QfFzwr+xl8TfEnwHF5/wAJfZeDL6bQW06HzLhJxETuiXu6jcVwCcgYBOBX4Af8Edvi9498C/tgR6fZ/G/U/B+ga/pl2fGOowa7FZLcJHDJJAZJZ8qW+0FMH73zsBwzV/SzXj37MnwY/Yg+GviTxrffsoeHPA9tqmoaxjx1/wAIrewzyR3ivKfKuFR28hlZpcRYUA7sKMV89neSV8zxlGpTr+z5U11v6x1WvR67H63wR4g4LhngbOMnq4H20sUo2nZWjf3ffbT0j8VPf3+17nxf8avCP7F/xi8H+LfHfxh+Kmk+PbvTvCckU/iHWvFFtqd5olorM8Ztdpxbt55UqVUNJIVQlgQtfeP7J+r/ABO1/wDZf+HeufGuC5i8YXngnTJvFEd7bCGZb9rWMziSMABH8wtlQBg5FfMv/BSP9n/4KfFj4rXHin4k/DTTNa1Dwv8ADSS60C4vY2P2Kbzrpt6qCFY7o0PzAj5RxX2rYktZQsxJJiXJP0ri4bwdTB5rjKc6jm48ibfW6bu9Xqttz5XO84pYvhzCYZczalKXvWtTS91Qp6t2lo56R1UUo+7dy1+dX/BzD4o+MXh/9hDTNO+Hs1/F4e1Xxhb23jeWyj+U2nlu8MczDlY2uFi9iwRT1AP6K1zHxo8K/Cbxt8J/EHhb472GkXPg680uVfEkevSrHZi0C7naV3IEaqBu35G3aGBBGa+lzLCyxuAqUIy5XJNX/rp38jj4Kzylw1xZgs0q0fbRo1IycOr9P7y3j/eSPxM/4IdfHPxPo/wo8YeBvHn7U+q+DvDOlanbP4Y01fFtrp8XnTCZrsxrMCxGRCSB8oLEjlmr6j1bwZ8DfDHxI+Gvxe/ZzvtN1j4l6n8YrH7H4p0y9h1PVNaFzOia0txOCxliXTnuHk/hgVEKiPPP35+zn8Pv2d/h/wDBvRvDH7MOkeHYfA8KSvog8NXEdxZuGldpHSVGYSZkL5bcTnPPFfLfgD4B/BnRP28I/j1pPw402DxlqPxS1a0vfEKoxuJIBZXq7OW2qNsaAlQCQvJ5OfgsTkOJwDwnPiXJOpBJa2jfrHX7tEfoObceYPOeMsyzaFCVCM1J+zSX7yyUeWsrpJT1lU0nq3FLXmX2/RRRX6Wfix/P/wD8HKHiz40Xn/BQiPw940uNQi8M6R4YspPAcboUgEciK11NERwzm5V1ZvvfukHRVr7D/ZZ/aCtfiD+y14O1D9of9tq/m1rV/DcZ8T6Nq3xAsY0mD7gYZouGAaIqGUkNhjkg5r76+Of7J/7OH7TF/oGp/Hr4PaL4puPC94brQZdVty5tJSULYwRuVjGmUbKttGQcV35s7QnJtYyf9wV8ZX4XxlbH1q8cU4Kbvpe/o9VotlvofsPEfiZlmdcC5TkVPAqNTBpqU9LPS3u6N+/8dS9vfS33PKf2XfCIsTrnj3dKRrS2kEe7HlskAlIdOOcmcjOSPlGOhr1qgAAYAor6XLcEsuwMMMpX5VvtfW5+S4mu8TXlUatcKzfGOnjVvCWqaWbFLkXOnTxG2kztlDRsNhxzg5xx61pUV2Tjzwcb2uYxfLJM8b/Zd8C/2RrWs+L2t54fN0600yOGRNqBYHnfgEZyDKVPPYDrmvZKKK4crwEcswEMMpc3LfXbdt/qb4qu8VXlVatf/hgrw7/gpV4m+MXg39g34p+J/gE98niyy8JzyaZLpkW+5hXKiaSIdd6wmVgR8wKgjkCvcaCAwKsAQRyDXXXputRlTTtdNXW6ut/kbZXjI5dmdDFypqoqc4ycZbS5ZJ8r8naz8mfza/8ABF34u+NfAP7Ul14dt/jnqXgvwvrWi3Evii6ttehsY52hRjbF5JsqWEsmBj5iHbsWr9bfBCeBfjfc6n4U8NfG6TxvqWrWcdjf3w8SW+o3VtbEyBFzEMRopklYblxlmJJHA+mfgX+yZ+zb+zN/bf8AwoT4N6J4W/4SO+F3rf8AZdtt+1SjdtJyThV3vtQYVdxwBk16DHBBEcxQopPXaoFfEUODsUqEadXFPlTvypPl3v1f6bn6Z4leI2X8bcUzzTCYT2UXCMVe3M7L4pWT115Vq/djH0T6KKK+8PyUyvGvhOz8beHJ/D17M0QlwyTKMmNwcg4PX6ehpvgfwhZeB/DkPh+ymaURktJMy4Mjk5JwOnoB6Adeta9Fc31TDfWvrPL79uW/le9jT21T2Xsr+7e9vM5Pw/8ACTR/D/jq68bwX0jtOXaG2ZAFiZz85z39vTJ69usooow2Ew2Dg4UY8qbbfq9wq1qlaSc3dpWCvin46eO7nTf28PG9l8X/ABc2m6RpPw80yfwZBqdwlvZDTnaZ9Uuo2YgO4migWZjyiRw52qQW+1q89+P37KP7OX7U1po9j+0L8ING8WRaBem70dNWgL/ZpWADFcEZVgq7kOVbauQcCuDPctq5rl7w9OfK7p+Tt0f9b2Pc4czHL8uxk/rsW6c4uLcUnOPvRkpRUmlf3eV6r3ZS16P4B/Za+Ovhfxf+zP4fi+Kf7bOpAXdlc28uj6p45sLQSaaLiaO2imtwoMYa0EIZOGwxzg5r7g/ZW8LQwT638QbZ3aHV7OxtbZlIMTxQG4dXQgfMD9pIzkg4GOhz62thYooRLOIBRgARjAFSgADAGAOwrzsv4crYPHQxNXEyqciaSa7q3WT/AKsTmuc0Mwq1nRoKlGpJystopu6SsltsvIKKKK+pPBPO7/8AZM/Zu1P9oC3/AGqNQ+DmizfEK1s/stv4qe3JuUi8tovXaW8tmTeRu2nbnAAr0BbW1RgyW0YI6EIKkoqIU6dO/Kkru7t1fd+Z04jGYvFqCr1JT5IqMeZt8sVtFX2iruyWiCiiirOY8l/by8QfFzwr+xl8TfEnwHF5/wAJfZeDL6bQW06HzLhJxETuiXu6jcVwCcgYBOBX4Af8Edvi9498C/tgR6fZ/G/U/B+ga/pl2fGOowa7FZLcJHDJJAZJZ8qW+0FMH73zsBwzV/SzXnXwU/ZJ/Zr/AGctY8Q6/wDA74M6J4avPFd4LrxBPptttN5IGdhnJIVQ0jkIuFG44Ar5rO8jxOaYulVpVnT5E1pe6v1VmtXs9VofrXBXiNl3C3BObZJXwaqzxaSjLSy0t799bQ+OnZO077XufMXg+XwF8aLrVfCvh346SeOdV1bTPsFzcHxPb6jdWtq+9QFEQwiBpGbJXGTye1fcEEQhgSEHIRAvPsKSO3giO6KFFPqqgU+unJsmnlUqsp1XUlO1212v5u+5+Z43GrFqKUOVRvt5/cFfnV/wcw+KPjF4f/YQ0zTvh7NfxeHtV8YW9t43lso/lNp5bvDHMw5WNrhYvYsEU9QD+itYfxJ+G3gP4w+A9V+GHxP8LWmt6Brdm1rqulX0e6K4ibqpHUc4IIwQQCCCAa78xwssdgalCMuVyVr/ANdO/kezwZn1DhfirB5tWpe1hRmpOOmqXa+nMt4/3kj8Qf8Agh18c/E+j/Cjxh4G8eftT6r4O8M6Vqds/hjTV8W2unxedMJmuzGswLEZEJIHygsSOWav0x/Zh0Pwj8QPF+h+I/Bnjf8A4SK00fWLnUbrW7bVIr37TdNBPE/nTJlS5+0EkDB4Havf/g/8D/hJ8Afh7YfCn4N+ANO8P+HdM8z7DpVhDiOIu7SOfmJJLOzEkkkk11EcccS7Yo1UeijFfMYPhTEUalGdXFOSptS5bO110V3p92x7fHXGmE4r4mxuZ4bCqlGu9Fpe1lG8rL4pW5pav3m9XuOooor7Q/PQooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK5D4+fHf4V/sxfBvxD8ffjb4qi0Twr4W05r3WdSlRn8qMEABVUFndmKoqKCWZlABJrr6+Tf+C3vwV+J/wAef+CbPjjwd8HvCV54h1zT9T0LXovDunR77jVINN1izvp7aJP45Ght5NqdWYKo5NAHsn7Jf7XnwP8A21/hQfjD8BtdvbrTYNWudL1Oy1bSprC+0y/t2CzWt1bTqskEq5UlGAOHU9CK9Or4u/4I2+FvH+oQftBftL+K/hr4k8H6P8Y/j3qPibwboHi7SJNP1EaYLGytEuZ7WTD27yyW0jbHAbaFJ6ivtGgAooooA8b/AGyv28f2c/2DfC+geLf2idf1OytfEuuxaTpK6VodxfO9xIyqC4hRhFGC6Au5C5dRySBXslfDH/Bwj4s1K1/4J/3Pw18NfCzx14r1rxP4v0FtNsfBHgu91h41stXsr2d5haxuYV8mCQqzYDMAo5NfZXwx+IGlfFf4c6H8TdC0rVrCy8QaVBqFpZa9pUtjewRyxh1Se3mCyQSgHDRuAykEEAigDdooooAK8C+JX/BS/wDZN+EX7Vmhfsc/ELxTrWneLPEWo22m6bezeFr3+yG1G5hM1vYNqPlfZhdSRgMsW/dgjOM177X5x/t3fGu/+NX/AAVc+EP7KPxT+CvxSt/hX8MPEmk+Ll8Q+HvhlqepWPibxdIdmmwvewQtDaWNkJzPPK7cyYRtqxs1AH6OUUUUAFFFFAHgX7O3/BSz9lX9qD4/eIv2ZvhjrviGLxd4c0x9Tex8Q+Eb7TE1LT0uTate2UlzEi3duJhs82PKkkYyOa99r81f2DtK8U/ED/gtJ8RP2k/hj8FPjToHgrWPhRNYfEC7+Nej3MP2LxENXEsFhoz3RYraCIzu0dsxts7Cvav0qoAKKKKAI7q6trG1kvb24SKGGMvLLIwCooGSxJ6ADnNeU/sY/ttfs9/t9/CGf46fszeKLnWfDMGv3mjjULnT5Lbzbi2ZVkKLIAWT5gVccEGsT/gpf8P/ANoX4sfsO/ED4XfsuaJDqXjDxHpkWm2+nza4mmG5sprmKO/iS7dWW3kaza5VJCrbWZTtJGK+ev8Ag3y8FfHv4bfs/fFzwP8AG39ld/hRBD8f/FF14e0NtUNyn2ea6y0UBMEXmW0JVY4rlQUuEAkUKOKAPvqiiigArxr9sT9un4K/sQ6b4Xvfi7pHi/U7nxlrUuleHNI8EeELvW768uY7aS5dVt7RHkIWGKRyQOApPavZa+Hf+C5Hgj4aeJ/gz4V8ReOfBP7QF/rHh681W88C6x+z5a3b6jpetvp0tvA072f7+KOQTOgYfuz8wkIU4IB9meAfGWnfETwNo3xA0jTtSs7TXNKt7+2tNY06Szu4Y5o1kVJ4JQJIZQGAaNwGVgQQCDWtXkn7BKftCR/sUfClP2sGuD8Sh4C0v/hNzeFTP/aX2ZPO83b8vm7s78cb91et0AFFFFAHiPxs/wCChn7MXwC/aG8M/st+OvEesT+M/E8EFzHp2heGrzUU0u1nuPs0F1fy28bpYwST5jWSUqpYHnAzXt1fjz/wUR+AX7ZHgv8A4LG6p8av2f8ASvjCuufEAfDtPhxq/gcXP/CM+VYai8Wu22vtH+5WJLJ5ZUSf5T9oYpl+n7DUAFFFFABXzX8C/wDgqp+zR8fv2nm/ZB8OeFviTofjc6Te6nb2XjT4balo8N1Z2kqxTTxS3USLJHvdQGXIJYYPNfSlfHn7JvgLxz8Vf+Cpv7RP7X/xB8Gavpml+GdN0f4XfDOXWNOlt/tVjbR/2jql1B5ijzIZb25RFlTKv9lOCcUAfYdFFFAH/9k=", 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", "info": {"equation": "9+3*8=33", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "1335fe2f0bc7047c113d3aecca13c88e7383ad1aa3a691145aec237e25ce6a84"} +{"episode": 922, "episode_seed": 937086950, "split": "train", "timestamp": "2025-10-28T03:42:49.413319", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 937086950, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 5, 1, 4])", "action": "('move', [3, 5, 1, 4])", "reward": 0.0, "image": 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", "info": {"equation": "36/3=12", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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+Jfjf4dftq+Frvwt8T7vwpa6s8ll4n1i21KG1I01gJZQ00wKoC0UZz1yoA5OD+vOtWn7M/wAe/EWjaV8TPjrp/wAT59PuJJtC8PeJ/GNpqlulw0ZDTJZrhJZRHvAZ1farPjGSa0P+Cd37N3wH+DnxZ8AeLfhf8LNK0XU/EngG7l12+tY2Ml43k2MnzF2bA3uzbVwMnpwMexf8FIPgr8KPjhofw98A/FrwHY67o0njGed7C7DKhkj0q+KNlCrZBJ71+UYbKcRV4fqYlV5KMb+5rZ2+f6H7d4h+IuW8Ycd0MbhqEsPFQjBzVnV+1d2Tino3FLnV47tXssT/AIJK3t0ngH4i+E/B9/cXfwz0H4hT2PwunciS2SxFvC11BaTZPnWsV811FG2WACbQxC4H1nXjH7AvhXw34F/ZutPBfg3Q7bTNJ0rxLrtrpun2ceyK3hTVboKijsAPxPU5Jr2ev0nJYOnlFBN39yL181f8Nj8d4lx8Mzz2viYRspS67uyUeaVt5ztzTfWTbCiiuI+NXxDh8KaG+g2Mjf2jqEJWHaB+7QnDOf1A9/pXRjsZRy/Cyr1XZRX39kvN7HkUKM8RVVOG7PEf2qviL4n8beKLH4efDO5H9ueIdSGheFmCI4hkZWe5vijSKHSCGOac4PzCJF6sAfoX4V/DTwp8HPhzovwu8EWAt9L0PT47W0QAbmCj5pHI+87tudm6szMx5Jrw79jHwFL428c63+0tr1my2sH2jw74GilKnbaRTBb28CmMMhnuIQi/McxW0bDAc5+ka8bhzCVVRnjq/wDErPmflHovu/TsduZVYc6oU/hhp8+rCiiivpDzT4y/4L3+L/jn4M/4Jt+K9Q+Bk2owyXN/a2niq60uLdLBo0hdbkkj5kQny0dl6I7ZwpYj8hP+CLfxj8e/D79pi58HWfx11LwV4P1jSJ5/FEtrrsNhDK8Mb/ZizzZXcJJABt+YhiOmcf0fa3peja3ot5oviKwtrrT7y1kgv7W8jV4ZoXUq6OrcMpUkEHggnNeSfsb/AAe/Yb+F3grVoP2INH8ELod7qgbWbnwbqkV/HJdLGuEkmSSQ7lRlIQt8ofIA3kn5TOMhxGY5nTr06/s7K3W6/wAOq3vrqftfCfiVgch8MMx4eq5f7WdaV1UsuVcySXtG03zQ5b099e1rv5S17wx+yR8e/EA1L4s/FXQvijeabo91HbReMPF1rqiaZZsAbqSKIMEgBATfPtDAInzrtFe9/wDBJe+8SXX7HVjY38t5N4d03xJq1j8O7q+t1jefw3DdOmnOMY3x+SAEc/ejVDkghjjf8FCv2d/gh+0D8Wfh14d+NHwz03xFY2Gh67c2dtfBwsUpuNKUuNjKT8pIwcjnpXsX7GFpa2H7KfgGwsbaOCCDw1bxQQQoFSNFXCqqjhQAAABwAK4MhwNTB8R4inOq5uMVdvrez11e2y1Pj8xzujX4QpYRc0pSnfllbkpKPPpT1bvPmvL3YJWtaV7r06iiivuj4Q8S+OnwN/YG8dftBeDvG37QfhvwDcfEm1aFfBb+INQhi1GcxzF4lhhaRTcbZSSo2vhiccmvaTZ2hOTax/8AfAr+ZD/gq/8AED9oXUv+CknxI1z4xarrFpr2heL54PDLzboJLLS4Z2bTmt9uNieSY5VZfvM5fO5ia/U39m79pKfxB8CPBXin4w/t46nb+Krzw9Z3PiC0n+IWnw7LpkDOrRBfk56r26cV8NDjDB4fFVoToNWla8Uru2l5ba/efuXHvhbmPDfDGU46pmKrqtDSDbtTulO1LV3hrq0o62dve0/SVVVBtVQAOgApa8q/Zt8X+I/GQvdZl1ptT0m6gS4tb8T+bFIz/MDE4yrKynPynGNuOvPqtfVZZj4Zng44iMXFO+j8nY/FcVh5YWs6bd7BRRRXec4V/NZ/wXH8XfHLxN/wUk+IFh8bZdRWPSb8WnhC2vYtkUWjAbrYwAfKUcMzlh952fPzZA/pTr4k/wCChH7OPwK+N/7Qt74j+Lnwv0vxBe+HfhlZy6LNqKO32Vzdam5IUMFYFo0OGBHy9OTn5LjSk55Pz81uWSdu99P1ufrvgxxzgeA+KZ4zFYf2sZ05Q0tzRd07xvpZ25ZbaO+trP2r/gmpr/xj8UfsG/CzXvj9b3cXiy48JwHUhf2ohnZAWEDyIMbXaARMcgEliSASRXuNc58HmLfCTwszHJPhyxJJ/wCvdK6Ovp8PB0sPCDd7JK73dlufmGaYyOYZnXxUaapqpOUlGPwx5pN8sfJXsvJBX8qHxu+Mf7VWm/tn698YfiN4o13Svizp3jB5rq+l/cXdjfxSbERV6IqBVRUHyBAFGVr+q+vgL4+/s4/AvX/2tPGPx/1z4XaXdeM9O+JXh2Gw8Qzxs08CLDoqrtBbZkK7ANtyM8HOK+T4yw8quHoSU2rTS/8AAuvqraerP1vwa8Qcv4CxWYPFYRV/bUrLa6cW/dd/+Xc+b3937sdGU9H+Mfw78R+CrCw+Jn7bk2pNd6XANe0fUviNYNb3EjRqZoZETGULbgVBHHGa+p/2X/Bpttd174ku02dVsLKxj3AeW6QSXMm9eMnJuSCckfKPQ1699is/+fSL/v2KkAA4ArpwHDdbCZhDFVsTKo4p2TXdW3cmfluLzSGIoypwpKCk76bb32sFFFFfUnkH4S/8HPPi7443X7XfhrwT4qn1GPwHa+Fo7rwlbtHttJrpmZbyRSOJJQRErZ5VSvADZb0v/gkp+0V4p1T9j6wsfjT+2frPh9tJ1abTvDOlzeOLOzMOlRRQrEqxygvsD+cqlv4VAHyha/VD9ob9lj9nr9q/wxZ+Df2ifhRpXivTdOvftdjb6kjZt5tjIXRkKsuVYggHB4yDgY6/w94S8L+EtAsfCvhjw/Z2Gm6ZZxWmn2NrbqkVtBGoSONFAwqqoAAHQCvjMTwxja+Z1cTDEuCl2vf0eq0XQ/a818VMqzDwxwHDEcAlVoSu5vl5dL+9HRvnne827a33vp8tfs/eGPB3xN1rQbjwR4xGvWGneI/7VutastTjvPtF0kjzSNNMmVLPI5LYwctxivrWmxxxxLtijVR6KMU6vbyXKf7Iw8qbqOblJybatvbzfbufkGNxf1yopctklawV4d/wUm8SfFTwh+w98QvEXwZvNWtddttKhzeaDb+be2li11Ct9PAuCfNjszcSKQCylAQCQK9xo69a9OvSdahOmnbmTV1urq116FZXjI5dmdDFypqoqc4ycXtLlknyvfR2s9HofmJ8ffjL4L8A+I/gZpXwe/aBj8Nw32urbJdaJr9pGJfDP2OQTyNNIWCRboLcLID8zqVBJ4r1Hw38Rfhj4u8U6faf8NTHxnqMUkjaRpmoeNrS+aOUxOrSRRRYYv5TSLnnCs3HcfTnwN/Yy/ZY/Zp8Qa74q+A/wN0DwxqHiVw2tXWmWpVrjDs4UZJEabnY7E2r04+UY9KW1tUYMltGCOhCCvhqPB2NWG9lLFtJ3vFJuP8A6Ur+eh9Nm/EGT1K1OOBoNxgvjmoxnJtt6qPMly35V7zulfS/KuM/Z48Et4B+F1to8gnD3WoX2oSJcgBka6upbgrjAwAZMAHnGM5NdvRRX2+FoLC4aFFO6ikvuVj4+rUdWrKb6tsK5H4jfCLS/iHqFrqVxqctrJAvlymKMN5keScc9CCTg8jk8GuuoqcXg8NjqDo1480X09PQdGtVoT56bsyOztILC0isbWMJFDGscajsoGAPyFSUUV0JKKsjJtt3YUUUUwPjL/gvf4v+Ofgz/gm34r1D4GTajDJc39raeKrrS4t0sGjSF1uSSPmRCfLR2XojtnCliPyE/wCCLfxj8e/D79pi58HWfx11LwV4P1jSJ5/FEtrrsNhDK8Mb/ZizzZXcJJABt+YhiOmcf0gaxpGleINJutB17TYL2xvrZ7e9s7qISRTxOpV43VshlZSQQeCCRXA/s9fsj/s2fso6DqHhn9nj4PaR4VstVu1utSi0+JibiVVCKXeRmYgDoM4GWIALHPyub8P4rMsxhiaddwSVtL3XpZre+uq+Z+z8K+KGV8P+GuYcNVsCqlTESbjPTl95RV5315qfLena+ttrXfzL4E8dfD3xl4vh/sf9og+O9bitJI7G3uvFttqM9vCzxtKIo4cEBmjh3HB+4nTv9cfBPwSnw4+Enh7wNHJMw0zSooc3BG/gc5wAM8+ldKltbxNujgRT6qoFPrpyfIp5ZialepWdSUkldrt53dz8pxmPjiqcYRgopdv+GQUUUV9CeceZfFH9jT9lr41fFfQvjl8VvgfoOu+LfDXlf2Jrl/bFprbypDLGOCA4SQllDhgCTjGa9JNnaE5NrH/3wKkoqI0qcJOUYpN76b+vc6q+OxuKpU6VarKUaatFOTait7RTdoq+tlYRVVBtVQAOgApaKKs5QooooAK8I/aY8ESa/wCOWki0N/N1fQl0wXlujF5UDTEJ3GVM0jDj+Ik5Fe70V5eb5Ys2wTw7nyptO++x1YPFPCVvaJXM7whoUfhbwnpfhmKR3XTtOgtVdyCzCONUBOOM8dq0aKK9NKysczd2Ffk9e/GjUtE/4J6+OfiH8U/irfaX8UBdapN4luL6aGPUrHxcly7W9qsDZCFJILdIYguPs8SMoKjcf1hrzLVv2M/2Wtd/aCtv2qtY+B+g3HxCs0RbfxTJbE3ClYjErEZ2s6xnaHKlgAoBG0Y+f4gyavnEKSp1OTld/wDg+qtp6vVH13C2d5RlUasMfRc05QmuVRbbp8/7t81rQqc/vNXa5YvklsfKHw//AGiPDVhpGh654l/bwuZdUisrWbUrO8+I2nNC1x5amVHQDBXfuBUHHbNfXX7POseKNY8P3c+uXU9xaiZTY3FwxYvkEsAx+8ucc+pI7V332Kz/AOfSL/v2KkAA4ArLLsgxWCxsa9TFSqJJ6O/X1k/X1seLjMypYmnKMaMYXd9Onpp8gooor6Y8oKKKKACiiigAooooAKKKKACiiigAooooAKKKKAC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", "info": {"equation": "36/3=12", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "1d1555c5162eeda1f15807cb711d18f18fbf5c322ea99381a39495a70c706ff1"} +{"episode": 923, "episode_seed": 2797018140, "split": "train", "timestamp": "2025-10-28T03:42:49.459416", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2797018140, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 0, 1, 7])", "action": "('move', [2, 0, 1, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "9+18*2=45", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "9+18*2=45", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "35055bfd6b75133ba1533a83d86b3c6cc754b26204e840cf8d9c1444d53831f5"} +{"episode": 924, "episode_seed": 2777750954, "split": "train", "timestamp": "2025-10-28T03:42:49.510342", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2777750954, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 1, 3, 4])", "action": "('move', [0, 1, 3, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "6+16*8=134", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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kZHkzm5jtdrqu9nWJMkNtb3/9pr4OfC3xX+3D4R+LXiXwNYX3iTw7H4ag0PWLhGaWyjl1a5EgTnbyGbkgkZOMUz/go/8ABf4UfE7xT4R1n4geAtP1a68MaFq+o6BLdxk/YroS2OJVAIBYbV+8COBxX5xmOV1pLG1lXkoxqK8ej5nFp79L6adD9hx/iDgM1/sGlTw7ovCUOSU4W5pOKatHVe7Ll1u9HOb5ZWtL6V+F134s1D4ZeHb/AMewNFrs+hWcmtRPGEKXZhQzAqOFIcsMDgVu0UV+nxXLFI/EKs1Vqymkldt2Wyv0Xkfzh/sO/E/9om5/4Kz3Efj7xHq1vrPifxrfQ/EeyumEbXTRTPKYZozwPLuYoiqryuwAYXIr9oP2IvGd9rGoy+G9G8avqttp2savFqtmL9ZhpzG7mZYWVf8AVEZXCt82G9DW58fP2c/gd8Of+Eh+OHgf4ZaVpni3xn4j0RfE+u2sJE9+IryIJvOcDoCdoG4gFskZrvf2WERfgdpJVACbq/JIHX/TZ6/PsBkOIw2eqnKu/dXPpfVc79169d35t+p+r+I/HmA42xNPHYbCKjGNKFLl0+KMbuWnRX5Y9eWMb22XodFFFfoR+SGB8Vrzxdp/wu8S3/gCBpdeg0C8k0SJIg7PdrA5hAU8MTIFGDwa/FD/AINnfFHxm1P9vH4htqU2o3Nhqvg+5uvGtzdwli2oC9jMLzOw3LKXkueOpy+RwcfudXyZ+wd8Hvhf8NPjn4w8T+AfBFjpWo+K7W8v/Ed5bK3mahc/2nL+8kLE8/O2AMAbjgc183m1FzznBS5mvelp/wBu3/S3ofpfCXGGEyPgrO8pqYdVJ4uNNRlp7vLJ3vfXS/NG20kvVfWdfnn/AMHLuv8AxQ0b/gnvaWPgWS8TR9S8c2Nt4xa1TKmy8uaSNZT/AAobpLf2LbB3wf0Mryb9uDwR4T+JP7NOt+A/Hegw6po+q6hpNvqOn3G7ZPEdTtcq20g4+hFejnVN1cprxTt7svwV/wAdj53gjO6PDnF2BzOtS9pGlUjJx7q/S+l1vHzSPy6/4JafEXwv4v8A2BLP4Z/Hr9p+407R2vtQ0yLwfdeNrawt59JZhuheLKymOR3nVssCwYjOMV97/wDBNnTtK8L+Jfi14C+G9jFa+BdJ8TWP9jWGn26JY2Opy2ayajb22zhVDGCR4xwks0gwCSBseBvh14F8Pf8ABOPxB8OND8KWVroVr4Z8Tafb6XDFiKO1E97H5Q742cdc++ea2P8Agn58Lvh58GvhXr/w7+FnhGz0PQ7DxfL9k02xUiOMvZWbsfmJJJZiSSSea+TyXLq2FzTDTnWc+ak5JPorR93d6a+WyPpeJ+KsLnTzWtTpumsRWvGmrckbz53N6/xLRUdI6qUveWz93plzFbzW8kN2itE6FZFfoVI5B9sU+uP+NvjCHwt4LmtVlK3Ooq0EBAHygj52PsFJ/EivtcbiqWCwk69T4Ypv/gfPY/NqFKdatGEd2z538B634P1b9s3wt4AvhJLaaXbXupafLJDGY21Bo5UtI3y+5X+zR38oAU/cByMDP1xXxtafCnxDY/CDRfjzpUBh8Q+IPEMfiW0FzIo8rynQ2EBJi/dq9jGsT5UlTNJzzmvsLTL+HVdNt9TtwQlxCsqAkHAYAjpx3r53hNvD4eeEqR5Zxalbymk1923yPSzZe0qRrRd4vT5p2/4JPX8+f/BS/wCJfx50L/gunc+IdW8V6louoaN4s0e08LaizpB9h0lo4grQvJ8ixlZp2Lnjc8hPOcf0GV8m/Hj4N/C3xB+3x4e+MuueBbC68U6K3h+z0jW50YzWsElzdb0TnaAd784z8xwea24pw8sRg6UYzcf3kNV5u1/le59t4X8YYPg3M8ZXxGGVZVcPVppO2jlZq9/su3LLrZ9dn89ftIWn7OPxK+HXin4hap8Zrfx94r8N+GZpPCeqX3ia21a+0a6WRZLRrKNDiOV7xbUAhd0riOMlgdh/SfwlNrdz4U0y48TQ+XqUmnwtqEYUDbOY1MgwOBhs9K+W/wDgoF8F/hR8Rfix4P8AFfjnwFp+p6j4U0e4vvDl3dRktYXJvbT96gBALfIp+YHBUEc19aVjw7gqmCx+LpzqObThq+vu3vu+9t+h87nWaUsZkeDoR5rxdR67Ru0lGGr093mekfedktOaRXmXwo+Fn7J3hb4y+P8Axf8AB3QvCUfjnWbu2f4jS6PdRS33nFXaH7VGrEwswLsAQu85Y7jzXo+oNcpYTvZLmYQsYRjq2Dj9a/nS/wCCZnxs+Nmjf8FGfEuo/FX42614OvfEbau3xJ1CbWItPkkukaSTZM0w2q4utoCgZGSowpYV2Z5nNHKKlF1KfMpN6rdWXTz1+659DwPwViuKOHs5xtHF+xWFpRk4Xdqt5OXLKz2XJpo/f5D+jGOKKIbYo1UeijFOr56/ZF+I8njfV1t/DPxgl8aaZaxTR3mpPrcV/sfO9VeSH5Q4LDAODtPfivoWu7KszpZthnXpxcVdrXyPzzF4WWEq8kmm7X0CuS+Puo+O9I+BPjXVvhbBLL4ntfCWpTeHIoIRJI9+trI1uFQ8MxlCYU8E8V1tFehOPNBq9rkYeqqGIhUcVLladns7O9n5PZn4gf8ABr14k+LN9+1z8T7eea+uNC1DwcLvxRczx7w2pi9T7M0kjciRlkvTj+LDk/dr9v6+Tf8AgnZ8H/hf8KviD4s1P4deCLLSLjxNpVvqWvz2qtuvrtru6zK5Ynnk4AwoycAZNfWVfP8AC1N0smgm76y/9Ka/S59/4qcVYXjPjOtmeHoeyjKNNW0u+WCTbtpfov7qR+b/APwc6a/8T9K/YY0DSvCEl4nh/U/HNvD4ta2TKPEsMslukpHRDOiN6F0TvgHxL/gm18SfDPxK/YF0D4dftI/tR3S6fJ9p0r/hDNU8c21rbT6THJ5cNrJASshhZQU2lhuT5fukV+rP7Qvg34FeP/g3rnhT9pey0OfwPc26HX08SXSQWQjWRXRpJHZRHiRUIbcMMBg5rlfjh4A+FKfsVeIPh74P8O6S3g9vAT6fpthYBWtH0023lpHGUODGYiACDyDkHvXDnORYjF42pioYhwXJsr30vpuvdf530PTwfHeFpeHeF4f+qtVKeJdX2yt2+y9H7RX7r3Yx17ed/wDBM/SNH8Kv8WfBXw70y3s/BWmeP0GhWlhaxx2dteSWFtJqMNv5fGxbliWUcJK0iDG0qv1FXh/7A3w38B/CL4P6p8Ovhl4VtNE0PTPFV0lhplkpEcIaKF2xkkklmZiSSSSa9wr2cgi4ZLh1e/up/fr+Gx8HxLjKeOzytWhe10rv4pcqUeaVm/enbmlq/eb1e7/EH/g6S8UfFaH9p74a6BdXN7F4TtPBz3mggJiA6m13It0yn+KRY0s8g/dDLj7xz9K+CdW+DH7Rvwt8F6Z+03+0BZ/EDUW0O11DUvC3irxjZXVrHqJsSLiU2qFRvjWS4xnIjBZhgqGH3p8YP2cvgb8f7rw9efGf4Y6V4jl8J6ymq+HX1KEubG7TBEi4Iz0GVOVO0ZBwK82/4KDfB34XfGj4ZeGvAXxV8D2OuaPceM4pZtPvFYI7pY3rITsIPDAHrXzOe5DiV9axqrtRavyq+tls9Vp230P0afiDl+ZcO5JksaDozwjmpVYW5vflvTV4u7WsryjeXWxp/wDBOe71u8/Yo+H7a1JdPHFpMkGjS3sAjkl0mO5lj05yBwd1ktswb+IEMeTXtdcZ+zjb29n+z54GtLSBIoofCGmpFFGoVUUWsYCgDgAAYxXZ19pg4ezwdON72ilf5H5ZmuKjjs0r4mMeVTnKVu3NJu3Ta9j85P20Pi3rvg3Xvjxq+u/E+80HxPpni/QbfwfJJcwwy2tqYbB7A2wl+UxvcNfEyEH5luMn90dvf+CtT8B/GXxHL4P0P9omfx1qF3avbJHJ4sttRnsraR0EjxrEPkUkR7mII+Rfx+pvFH7OHwL8a/GXQP2hfFfwv0q/8a+F7OW00DxHcQZuLKGQOGRTnGMSSYyDt3tjGTXZx29vE26KBFPqqgV8pV4UxNfE1ZyxLUJz5uVJu6unrqldbLR7L0Po8w4hy2thcPDD4e04xtJtJe9ywhaNrtx9zmu7O85K2nNJ9FFFfaHxpxX7QGljVfhncxnTluRBdW9wQQSYzHKrhxjupAPp1q38E/C58HfC/SdCbzQyxyTuJh8ytNK8xB4GMFyMdeOa6qiuFYFLMnjObVwUbejbubuu3hlRt1vf5WCiiiu4wCvIP2f/AAGdH+Iev+Ijpz2YgjeyW3UERgvcNM2M8k5wevRh6ivX6K4cTgVicXRruVvZuTt3urfgb067p0Zwt8VvlZ3Cvnf/AIKE6/rWi2XwvtX1e5sfDt98S4IfEc0RCxPiyu3sop3P3Y3vktQP70nlpzuwfoisD4pfCz4efG34f6p8Kviv4StNd8Pa1b+Rqmk3yForhNwYA4IIIZVYEEEFQQQRTzHCzxuBqUIy5XJNX/rp38jsybGYfAZlTrV480FdOyTaUk4tpPTmjfmjdr3ktVufnl8Jfjp4H8QN450bxV+2FNa6JH8QNVs9L0CXxpY2tpNYkoZYvK+88LXD3S7icuvQ4wa+6f2avDZ0LwPeak3mZ1nV3vsSdMeTDCCvH3SIQe/Unpiuq8DfDzwP8NPBulfD3wF4WstK0XRLCKy0rTbSELHbQRqFRFHoAB15PU81s9OleLlHD1bLsVGvVrupaPKk1or22u3pp2R15zm2Fx9aaw1Lkg3dbXstFeytzPd+dwrnPiF8ONO+IUVlHfXrwfY7jflEB3ocbk56ZwOa6OivoMThqGLoulWjeL3X4niU6s6M1ODs0YXj/wADWfjzw7/YE921ttlWSKZEDbCuR0PXgkfjWtpWnW+kaZb6VaA+VbQLFHnrtUAD+VT0URw1CGIddR99pJvyW35jdWo6ag3otQr83P2s/i7rnhHVvjJqviL4q3nh/wAWWXxZ0Wy0CR7qC3ms7Njp/wBhFuJPlELxG6kMhHX7S2cxtt/SOuI139m74E+JvjdpP7SOv/C7Sbvx1oWmPp+keJpoM3NrbP5gaNTnGMSyjJBIEjAEZNeZnmV1s2w8KdOpyOMlK/pf8VuvM+h4ZzbLspxFSeMpe0i46JJO8oyUlF3+xK3LNrVJ3SduV/MHw5vfAnxl8WN4X8P/ALQM/jq/nEcTM/iq21GeytvNUsVEQ+RCQpZmBGVHNfa1Mjt4IjuigRT6qoFPoyfKJ5WqjnVdSU2m299Fbuzx8Zi1iuVRhyqPT+rBXEeA/wBm74E/DD4i+Kvi34A+Fuk6V4k8bTxzeKtYtbfE2oyR7trOSSAcsxO0DcTk5PNdvRXsShCTTau1t5ehjSxOJoU506c3GM1aSTaUkmmlJLdJpOz6pPdDY4oohtijVR6KMU6iiqMAoPTiiigDyD9m/wACDQPFev64NOks1SGPT0tgpEaBJZZCFzyceZ69MV6/RRXDluBWXYOOHUua19fVt/qb4mu8TWdS1r2/BWPzf/4OdNf+J+lfsMaBpXhCS8Tw/qfjm3h8WtbJlHiWGWS3SUjohnRG9C6J3wD5B/wS1+Ndtrn7EfhbQPjV+1leWf2aa40+z8K6j41tLeE6bFJ5cEDQPiTyyoKgEglQAOMV+rfxc+EPwz+PPw81L4T/ABh8G2XiDw5q8aJqWk36ExThXWRc4IIIdVYEEEFQRV/wh4F8HeAPCmmeBvBfhqz03SNGsIbLS9PtYQsdtbxIEjjUdgqqAPpXhZnw7iswzGWIhiHTTilpe/putOvqfpEOPcBHw1o8NPCJ1adeVX2mlmnFpdL82tn05Yx17ct+zj4Yfw54CmupRKH1bVJb5llGMblRBgYHBEYPPr6YrvqKK+hwWGWDwdOgnfkSV+9kfmteq61aVRq13cK88/aS0l9T8GWUyaZ9oNnqyTIwUloWMckYYAeokK8/3q9Doqcwwix+CqYfm5eZWv2Hh63sK8alr2ZifDXw4vg/4d6D4TRpCNM0a2tQZcbj5cSpzgAZ4rboorppwVOCiuisZSfNJsKKKKsQUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAV438dv29v2Yv2b/jv4D/AGcPi145nsPFXxGuBF4ftodLnmhj3zJbwvdTRqUtUluJEgjaUqJJWCDJr2SvzO/4Kq/BP43+Mf2/vDumeBPg94o16x+KfhzwFoml+JdH0l57Dw/caD45TW7+S+mX5bRPsTGSNnwJHiKLlsCgD9MaKKKACvLvAH7YnwN+Jn7Tvjb9kPwhrOoT+NPh9pVlqHia2l0ieK2ihus+V5c7qEmPHzBCdp4JyCB6jXxd4H+K0d3/AMF0vG/hxfhZ8QYrST4G6PoEXim58CX8ehy39tfX+oSxpqJj+zuBBeQAENgyb4x8yEUAfaNFFFADJ54rWB7m4kCxxoWdj0AAyTXkP7I37dn7O37btn4nuPgPr2rTT+D9WjsNf07XvD11pl3btLEJrebybqNHMM0TCSKQDa68ivXriZbe3e4dGYRoWKouSQBnAA6n2r4h/wCCN3xO1D9ofxN8dP2pPiL8LfH/AIQ8dePfHFtNqug+NfAl9o0Wl6NaRS2ej2VvJdRIt6620Dzzyx5Cy3hXgBcgH3DRRRQBzPxk+LXhH4E/C/Wvi747GoNpOg2RubuLSNLmvruUZCrHDbwK0k0jMyqqIpZmYACsf9mP9pb4S/te/BPR/wBoD4I6xdXvh3WzcJbNf6fLaXEM0E8lvPBNBKqvFLHNFJGyMAQyGo/2r/Feh+C/2b/GeveKPDPjXV9LGhTW+p2Xw4t55dd+zT4gllsltmWbzo0kaVTCfNXy8plgAfFf+CKXgbx98OP+CdHg3wp4+8Ha9oJj1fXp9A07xZZfZ9YGjzaxeTafJqCEBhePavDJKXG8u5L/ADFqAPqyiiigDzj9rX9q/wCCf7EfwA179pj9obxJLpXhPw4sB1G6t7R7iUtNPHBEkcSAtI7SSIoUDPOegr0Kyu4NQs4b+2JMc8SyRkjBKsMj9DX5/wD/AAcY/Bj9qT42fsYDRf2fPgT/AMLE0rS7TWr/AMUaBbawLa7ST+yp7eyuoIRFK988MlxJMtqihpJI4sMpXn7m+FV14ovvhf4bvfG/hpNF1qbQbN9X0eK9FytjdGFDLAJgqiUI+5d4Vd23OBnFAG/RRRQB478TP24Pg78LP2ofDH7IeseH/Geo+L/FWmwahat4e8GXt/YWFrNcS28c17dQo0dnGZIZBulKj5etexV8A/8ABQ7wl4x/4eW/Anxx+z54U+NMPxHl1zw/Yarrnh2CceDLjwfHqF5Lq9vqkifuTKkMsjIk3zb5IDFk78ff1ABRRRQB5N4L/bX+APxC/aj8S/sgeENc1O98YeEbFZ9eeLQbn+zbeQpDI1p9u2fZ2uliuIJGgD71SVWI649Zr8xf2Gfgx+1L8H/+C1vxdilsfidb+Edf8SeLfEHiuXVTP/wiF5YXq6NJoUlhu/ctfiQajHMU/eBIdr/KI6/TqgAqvq+pw6LpN1rFzDPJHaW7zSR20LSSMqqWIRFBLsccKOSeBViigDxH9jf9vz4Gftxy+LrL4Q6L400u+8D39rZ+JNK8ceC7zRLu1luITPCDDdojndHh+nRlPRhn26vmH/gl14M8Xf8ACD/FL9of4ieFtT0jW/i58a/EPiAWOtWMltdw6XbzrpWmJJHKA6A2OnW8iggcS5HBFfT1ABXE/tG/tC/C79lT4La78fvjNq9xZeHPD0Ecl9LZ2Ml1O7SSpDFFFDEGeWWSWSONEUEszqB1rtq+ZP8AgsX4S8aeOf8AgnP8QvC/gfwXrPiCa4bSW1PS/Ddk1xqjaWmrWcmoSWMagsbyO0W4khKfOJY0KfMFoA9h/Zs/aM+Fn7WXwW0X4+fBjVrq88Pa6s4tWv8AT5bS4hlhnkt54JoJVV4ZY5opI3RgCrIRXdV8v/8ABG7wl4v8Ef8ABPPwX4d8X+Ctd8PiPU9dl0TTvFdk1vq/9ky6zey6fNqCOA4vJbR4JZjJ+8aSRmf5i1fUFABXjv7Yn7eP7NP7CHhzQfFH7SPjK60q28R6s1hpi2Gkz3sh2RNNPcOkCM0dvBErSSzMAkaDLEZFexV+eP8AwcQ/ATx58Yv2f/DN98F0+IJ8eMmv+FvDkPgfwKNdhv49c0uSxuLG+y6/2fBMuwfbzlYNhJGWWgD9C7e4gu7dLu1mSSKVA8ckbAq6kZBBHUEU+sD4VeFr7wN8L/DfgnVLlZrnR9As7G4mU5EkkUCRswJ9SpNb9AH/2Q==", 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", "info": {"equation": "6+16*8=134", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "a9d39acc5ae745e8034460596b35ddb85d67dd109b66c5fc6390c66d88cc2923"} +{"episode": 925, "episode_seed": 2307799924, "split": "train", "timestamp": "2025-10-28T03:42:49.546976", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2307799924, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [5, 1, 2, 8])", "action": "('move', [5, 1, 2, 8])", "reward": 0.0, "image": 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", "info": {"equation": "12*5=60", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "12*5=60", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "f778939ff2062f6189ec886e4817a3515b0ba15ea8f60896b6172060dae45d30"} +{"episode": 926, "episode_seed": 1073017738, "split": "train", "timestamp": "2025-10-28T03:42:49.592810", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1073017738, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [7, 0, 4, 8])", "action": "('move', [7, 0, 4, 8])", "reward": 0.0, "image": 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", 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WvS9rCnJ3jpf3ouN1fTmjfmje2qWq3POP+CD2r/EvWP8AgmD8O5PiZDcK9ul5b6G1zAI2fTEuZFtiAMZXYMKx6qFPIwT9g15n+xzo2leHf2afCnh7QdOhs7GwspbaytLdAscEMc8ioigdFVQAB6CvTK7MsjyZdRje9ox/JHh8TZlTzniPGY+FNU41as5qK2ipSbt8rnyx+2x4n1nS/wBqb4WaN4h1yex8LS+H9eubJZHWO0udbT7KkayOSMyLZyXzIhPI81gDsJHz1+1P8Rvj2/8AwQj8deKfh1qurXAn1rUrTT9UgtlE03hN9bliWUFBzC1kQPNH3oTuzg7q+rv+Chvwk+Gvxv8Ahp4U+Hvxa8HWuu6JdeOIpLjTrwuEdk0++ZDlGUgggHg0eHvD+hwf8E17zwnBpMEemR/C3ULOOwjj2xJbi0mjEQUdFCfKAOgr5urhJzz7F++1zUfuvp+Fr/Nn1eUcR5XleDy3EPDKdShWhKSajyyjTnKej3bnzqMrqy5E7yvaHwd/wapax8TJfAfxc0G+iuf+ENg1fTZ9MkaACH+03ilW5CvjJbyUtCy54Gw8buf1vr50/wCCd/wg+GPwN8O+Mvh78IfBNl4f0WHX7eePTrBW2CSSzhLuSxLMScckngAdABX0XXq8NQcMjoK99L/e2/wOLxL4iw3FnHGMzWhS9lCpJWjpf3Yxjd205pW5pWvq3q9z46/4LzeJPix4Y/4Jk+PLv4Sy3sUlw9na+IJtPjzImlSzqlzkjlUZSEcj+B2zwSa/Mr/giV42+IWq+Afiv4G1jxLdzeGdF8HXlxomnyzgxWVzOB9peMdU3iKAn+HKZ67s/vZ4o8MeHvGvhrUPB3i3R7fUdK1ayls9SsLuMPFcwSoUkjdT1VlYgj0NfJ37QPwK+EP7OPhLTvhR8DvANh4b8PWXgLxJLbaXpyEIryS2ru5LEszFj1JJ6DoAK8Li3K6tRPHKpaMYpOPf3l+Gt/VL5fR8N8d4HB+HeI4VlhU6tasqiq6aJKLfnzLk5VbTlnLVWtL1T9kLx3qXjvSRqdl46fxLo50uJYtY/tBbpJpUwmRKnyMx2tux3HIzmva6r6SiR6XbrGgUeQnAGOwqxX1WV4KeX4NUZ1HN3bu99Xfu/wAz8qxVeOIrOajyrsgooor0DnP52/27fHX7Ur/8F0tQ1a2TVZPGWkfFDT7XwJam0DMLJJo/sCRRn5WjeJlb0bzHZuWav6JK+Ovj58E/hL4i/bw0742674BsLvxZoeseFbTR9dmVjNaQveDcqc7RnzH5xn5jg19i18xw9QdHFYy8m/3nX0v9+v4H6n4j8a4Pi3LcnoUMMqLwuHVOTVveei0t9hct4p6pyl6sqh4o1638MeHrzXrr7trAzgf3j2H4nAq/Xif7YHxUbwx4TuNH0awlvru0iE5sohzczthbe3BwTl5GUdOMg16mcY5Zdl86q+LaK7ye3+fofm2DofWcRGHTd+nUwf2XfD0nxG+N/iT4z6xGs0HhtH0PR5XRGzfTbJ7+ZW3Eghfs0PIUgrMOcmvoquQ+AvwwX4OfCLQ/h7Lci4u7O1Mmq3gx/pV9KzTXM3CqDvmeRvuj73SuvqspwSy/L6dHqld+ber/ABFi6/1jESn06enQK+NP2rfGsWkftl63ZfFjxdJpfhux+EMNz4cW+mSC02Pd3X9rzozEB5UWLTw+c7EZDwH5+y6+Vf8AgpZ8EPhJ8cLzwdpfxd8AWHiC20rStcv9Pg1BWZIblBZhZMAjPBIwcqc8g15vFdN1MjqtO1rP11Wh7fC2JwWHzTkxcW6c4uLcUnKOzvFSaV/d5XqvdbPkf/gr345/aYP/AAQ8+FF1qj6zHLrjaJD8RpZLIQyvafZZHh+1KoHlb50tiwwPnKqQM7a9M/4NldX+JmofsCapp/jGG4Gh2Pjq8j8IvPAFVrZo4nnEbYy6i5abnnDFhnjA+oP2lvB/hj4ifsNL4J8b6LDqWk6tY+H7bUrG4zsuInvbIMh2kHBHoQat/sD+BPB3ww+BMvw++H3hy20jRdJ8S6hBp2m2akRwR+bnAySTySSSSSSSSSa5qWGlT4og3Nv9z+TUfx39T7nG8eYDFeF1XII4OMJyxbqqStyxi7uy68y+BPb2enke11yPx48I/Bfx38INf8KftE2Wi3Hgm7sSPEUfiG4WKyECsH3SyOyhArKrBsjaVBBBArrq/OP/AIObfEnxY0X9hbRNL8Dy3sfh7VPGtvB4ye0TKNAsUkkCTMOVjM6IfQuqA84B97M8VHB5fUrSjzKKenf18u/kfGcD5HV4k4uwWW0q3sZVakUp7ONtbx297T3dV71tUfefwc8HfB/wf8KvD/hn4HaVo0Pg+z0qFPDiaI6S2htNuY2idSRIrA7t+TuzuySc11CqqgKqgAdABX4t/wDBGr486xD+yK3h74n/ALX+q+F7XRvElxaeF9HbxraWKxWOyOQ7Y5QXK+fJNgnjqBwK/Vr9mnxZrHjPw5d69ca6dU065aOXTtRE4lScOpJaNx8rIRtIK8c8V4eVcT4XMcRTw0KUotry5VZX08ui0XQ6+NeFsTw1xBjcJVrqq6VSS57u8td3f7WvvK7s76vc9Looor6o+KCv52/2OPHX7Uup/wDBeLSPEevpq0vjm8+K13a+LYri0BljsN8kV4jIeEijtA4GOERF29BX9ElfHnhL4J/CXTf+Ci9x8d7HwDp8fjHUfG15YXviEIxuJbZdBcCPk7QMIgyACdoya+Y4joOrWwclJr97FaefX5W/E/U/DfjXB8J4DOKFfDKq8Vh5Qi3b3XqrO/2HzXklq3GOnVfYdFFFfTn5Yfm/8Afib47uX+CzJ4tv7n4j6t8Xp08aabNHE12Z996NbhuITzDFbxSPjAHlqttj76bvhv8A4OIPF3x0f/gp+LDUZtUSy0XRdJf4cRrAdoRo0keSAAfvGN6JlLYJLRheiqK/T74c/BH4TaJ/wUHuvjlpfgGwg8X6v401Wy1LxAqsbie3XS5QsZySFGI4/ugZ2jOaT/gop8E/hN8T/i7pfjH4g+ArDV9T8KeDXu/Dl5eKzNYTm6J8xACFJyiH5gcFQRX5jUwc48P4iPtH7tf77NR/G9/VI/feEfEHI+GON4ZnHBc8J0KicbRTjOo+e0enJG3s09G4Sk+VX5D6o+FV54v1D4X+G9Q+INu0Ovz6BZya5E8YQpeNAhmUqOFIkLDA4Fb9FFfpsVyxSPwarNVasppJXbdlsr9F5IK8+/aR0gan4ItLg6YLg2Oqx3CvtJMB2SJvGPZyvPGGNeg0Vy4/CfXsFUw/Ny8yav2Kw9X2FaNS17O5y/wW8JHwP8LdG8MsZd0FsXYT43hpHaQg4AxguRj2rqKKK2oUlQoxpr7KS+5WM5yc5uXc+V/22PFGs6X+1N8LNG8Q65PY+FpfD+vXNksjrHaXOuJ9lWNJHJGZFs5L5kTuPNYA7CV+b/2evjv4G8VfDDUbTxp+2hdLpMnijXLTTdFvPG9hbW82jrfzx28ZhAB8poAAOQWQg55zX6DfHX9nz4L/ALTXgGT4XfHr4d6f4n0CS6iuW03UkYoJoySkilSGVhkjII4YjoSD0mjeGvD3h3R7Tw/oOiWtnY2FtHbWVpbwKkcEKKFSNVAwqqoAAHQCvlsfw3i8ZmVTEwxLgpJKyvfRWtutOvzZ9f8A2/lUcgo4VYe9aLs21HlsnOSaercpc6Uk0rKCacua0PPv2YPC40rQNX8UBpP+J5qEcy7sbCscEcQZOOQdvXn2r0+gAAYAor6LL8GsBgqeHTvyq1+58piKzxFeVS1rhXjX7VXgV/G11punDS3Y32nXemLeQKTIi3GwOg6gfcVhkfwnsDXstFZ5pgFmeClh3LlTtr6NP9CsLiHha6qJXtf8hltCLe3jt1JIRAoJ9hin0UV6BzhRRRQB4t8Rvh8fEf7QenSjTJIhJeabeyXUCn96LOVZlLE5GAy7TjHDDuQa9poorz8DgFgqlaalf2knL0ulodFfEOvGCtblVgrmL34XaTe/ESH4hSXb+ZEg3W2wbWkC7VfPXgdvUD6Hp6K6MRhcPilFVY35WpLya2ZnTq1KTbg7XVvkwoooroMwr41/ar8axaR+2brVj8V/F0ml+HLH4Qw3Phxb6ZILQo93c/2vOjMQHlRYtPD5zsRkPAfn7KrhPjl+zF8AP2l7fRbT48/CjSPFMfh3VF1HRU1WAuLW4AxuGCMgjGUOVbAyDgV5Od5dUzXL5YeEuVtp+Wj2f9bnu8PZhgMvx0pY2LdOUXFuKTnHVNOPM0r3XK9V7rkfCH7MPxt8PeOPgV4Db4qfthXerateaVYy3fh7V/GtiqzXAZWgR7ZArBwwiYRjBDgAjqK+8P2dvCTeE/hyFkEwfUdRub90mGCplfOAMDjABGfWu2+yWobcLaPOeuwVJXDlWQVcvxjxFXEOo+Xl1Wyunu2+xGa5tSzGc3ToqlGUnK0dle+i0Wivb0QVz/xU+Ffw7+N3w+1T4VfFnwjZ694d1q3EOqaTfoWiuEDBgDggghlVgQQQVBBBFdBRX0coxnFxkrpnk0a1XD1Y1aUnGUWmmnZprVNNapp6prYwfh18L/h78JfA2lfDT4beELHR9B0SyS00rTLOECO3hUcKM5J9SSSSSSSSSa3VVVAVVAA6ACloojGMUklZIVWrUr1JVKknKUm223dtvVtt7t9WFFFFMgK8X0v4fm6/adOtnTJLYWGpzaozQqdkzPZvahmJznKydscp7EV7RRXn47ALHToycrezmp+tr6HRQxDoKaSvzJr7wooor0DnPyquPjfq2gfCH4X6x4o+Ol/4c8e6r8WpIfGd3LqVtaXsF4Z7sazBN5uRbxwxu6jAGxRbgffXd7z4Am8CfGrWrrwtoHx6m8c6lqFslrcTN4ot9RubO2L4O0RDEaZYklhjPevp/wAPfsu/s9+FPjhrX7Sfh34SaNaeOvEVktprXiaK3/0m7hAjG1jnAz5MWSAC2xck4ruo7eCI7ooUU+qqBXwtPg/FWcamKfK5Xsk7PW93ru/R69z7fPOJcrxtdVMFh+W/M22opqU224x5b+5D4Y7Nq7tG/Kn0UUV90fEBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAV4/+2b+3V+zl+wR8PtP+JP7R3ii+sbHVtUNhplrpGjXGoXdzKsMk8rJBbo0hSKCGWaR8bUSNmJFewV8D/8ABbjw58S9A8RfBv8AaP8AB/wW8V+PdI8Hr410bXND8F6JJqV8k2t+GbvT7Kb7PHljF9pKRO/SNZ9x4BoA+6fCvijw9448L6b418I6xBqOk6xYQ3ul6havuiubeVBJHKh7qyMrA+hq/XkX/BP/AOE3jP4DfsLfBz4J/EWPZr/hP4YaFpOtxbw3lXdvYQxSx5HBCurLnvtr12gArmfjN8XvA3wC+FWv/Gf4l39xbaD4b02S+1Oa0sZbmURIMkRxRKzyOTgKqgkkgCumrkPj98QNK+FfwT8U/EPW9E1rUrXSdEuJ57Dw5o02o304CEbYLaBWkmc54RQSaAIv2dvj58Of2pPgd4X/AGh/hFfXVz4Z8X6RFqWiT3tm9vK8En3S8b/Mh46Hmu0r5F/4IU69qV7/AMEtfhR4N8QfD7xb4Y1jwf4fj0HXNJ8ZeF7rSbpLuBVZykVyiNJF+8G2UDaxDAHIOPrqgApJJEijaWRgFUEsT2FLSSOI42kYEhQSQBkmgDxL9kr/AIKFfsx/tr+I/Fvg74GeItYfVvBUtt/bel+IPDd5pdx9nuQ5tryKO6jRpraYRyGOZQVbacds+3V8Bf8ABIf4s6h+09+1B8e/2sPiv8IPiN4O8c+Kryx0vTNB8Y/D3UNItNI8K6dLcw6bbxXNzEkd3czNJcXc/lkhDcIg4TJ+/aACiiigDxG6/wCChX7NGn/tj2X7C2pazrtr471OKY6W114XvI9Lvp4bVbyW0hv2jFvLcJbssrRK5ZVPODxXt1fnt8Z9O8U/E3/guj8HfFPwu+D/AMXI73wDb61ZfEPWvEulXH/CGR6FNpDmC702WQtbi9ku5YYS8G2YrHIkg2qK/QmgAooooA8s/aw/bL+AX7FXhPw74y/aA8VS6ZaeK/GNh4X0FLaze4lu9SvHKwxKiAnHyszN0VVJNep1+X3/AAcH/BL9tj4k+JvAXxA+Bf7Ly/E3wp4Tl0ZrOG08TC1utK1yTxPpcr3H2VYJZLhWtrRLczDattFc3MrblVlr9O9OmvbjT4J9Rs1t7h4Vae3WXeInIBZQ2BuwcjOBnFAE1FFFAHmn7WH7V3wr/Y0+FA+MXxetteuNNk1qy0m1svDGgT6pf3d5dzCGCGG2t1aSV3dgoCgnmup+EnxL0f4yfDTRPin4f0TW9Nstd09Lu2sPEmjTadfwIw4Se2nVZIHHdHAIrwr/AIKw+EPhD4y/ZQ+yfHHwd8XdY8P2PivTNRkPwPtbiXxDY3FvKZbe6hFt+/VUmWPLw/OpKnhQxGp/wSmX9pNP+Cd/wnX9rxtZPxC/4Rhf7ePiRs6lt86T7N9rPX7T9m8jzc8+ZvzzmgD6DooooArazrGleHtIu/EGu6hDaWNjbSXF5d3EgWOGJFLO7MeAoUEk9gK8u/ZB/bY+A/7cngS++JP7P9/rdzpFlfi3W51vw1d6b9rRo1kiurcXMaGe2lRg0cyZRxnB4Iq7+2t8NfF/xn/Y3+LPwf8Ah8R/b3ir4aa7pGiZfaDd3OnzwwjJ6fO6818f/wDBvR4a/aH8I/Bbxv4e+Jum/Fmx8F2Nx4etPBWnfGVZ11S1votDtY9bjgW4/eJYLqCusCj90FVvL+TFAH6G0UUUAFfPnwj/AOCl37PPxk/ay1T9izRPDXxB0jxxpljqN95Xin4fahplne2tlcpbT3Ftc3Eax3EXmSIFkjJVwwIJyK+g6+UP2c/A/jP4jf8ABVD4+ftN+NPCeqWGk+E/C/h/4b/D+61LT5YEvYFR9W1S5tzIoEsTXN3bw+YmVLWZGcqaAPq+iiigArwL41f8FMP2SP2fv2ofDP7IPxL8Z6nbeMfFD6elqtr4furixsnv55LewS7u40MVq1zNFJHEJGBdlIFe+1+UH/BSP4N/HHxV/wAFmvh/438O/Anx1q80eofDtvAOs6BoUk3hmW1tNav5tffXZVHlebbWssctoZzujd90PzE0Afq/RRRQB//Z", 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", "info": {"equation": "10+7*0=10", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "10+7*0=10", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "2737877e8463eee91691eb850aa0ad1e9d5fe4db5b31231f2207f803965225c1"} +{"episode": 927, "episode_seed": 507332614, "split": "train", "timestamp": "2025-10-28T03:42:49.634740", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 507332614, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 6, 1, 7])", "action": "('move', [0, 6, 1, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "0+7*6=42", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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lwAwDZ2rkNkHHIr134m2drqv7BGu6fqMCzQXXwkuIriJ+kiNpjBlPsQSPxr4ehg5yzXMoe0esV/5Mr/8Akuy8j9QwfFGU5bPKsdHCqc6dSjKcZKKjaguS0Wrt+1+ObklaaWkrXPy//wCDVfWvisPiJ8VfDltb3LeBzotnc3kptx5KasJtkIEnUO0Bnyo6hFJxgZ/aCvmH/gnf8E/hN8A9f8d+Bvg14CsPDuktBpNy9lp6tteZjeBnYsSzEhVGSTwoHQV9PV6/C0XHIqOt73f4vQ4fFLifC8YccYrNMPR9lCfKktLvlilzStpzO2tvJXe4V/LR8aPjL+1hov7fHi74m+IvFWtaT8UP+Esv7S/upGWC4gZt9s1vhvkWLyD5QU/II8AfLiv6l68Y+MX7J37OEXiLxd+1TH8HdFHxDl8HX9o/iv7OftRi+xvF1zt3eWBHvxu2fLnHFHEGUVs1hS9nU5OR3/4Pqunq9T1vC3xDy7gH+0VisGq/1ml7OO2j192V/wDl3O/v2u/djozwDw344t/B/wAa7PSoPiIdIutV8CWUFjpI1RITqRWedjtjOHleMDjZyods9a+0fA1xrV14P0658QowvXtENxvGGJx1I7EjBI9c14P+xwiN8SNVZkBI8CaLgkdP317X0bXm8HYCpTwccW6rammlHorSfn+i3Z8BnFeMqzo8qunv1egUUUV9meMFfzif8F0PGHx41L/gqN4uj8e3GqJJotxZQ+BIpISFi04IkkDW4HDBpWkbIyTIWzyCB/R3XxH/AMFFvgJ8Gvif8b9Q+IPxC+HOnaxrXhb4a2k/h7UL1GZrGT7Tqb7kAIUncisNwOCoIr5TjCi6uUpqTVpR+d9Pwvc/WPB3jbBcC8T1MbicN7aM6U4WVrpuzTV9LO3LLrZve1n9X/ALUfiBq/wJ8Fat8WbaSDxVdeEtNm8TQzQCJ49Qa1ja4VkXhCJS4KjgdK62iivqYR5YKN72Py3EVVXrzqKKjzNuy2V3ey8lsgr5q/bM8W6N8NZ9S8W6VaG6v0solj05Ag+1X8riK2hXLKC0kjxqckfezmvoXxV4l07wjoU+v6ox8qBR8q/edicBR7kmvl7w/wCAdS/aW+Pd5NrKSf2b4NtDqskhYKk+uXKulmhBjO5YIPOkbDDDTwHBI4+S4qf11U8vpRUqknzeiinr89l8z0spXsXLETdorT1b/wAj1v8AYj0/wnZfsv8AhS48JzNN9us3u9YupoEjmn1SSV2vmmVGYLL9p85WXc20rtyQor1avn/9keLWvA3xB8V+B5Qv9i6zc/2vYQ70VrO/OEvItgQHbIVjmByx3mfO3K5+gK9rJcZSx2WU6lNWsrNdmtGv66HFjaM6GJlGWvW/dMK/BX/g5v8AE/xkv/229E8JeMJb9fB1h4Rgm8HQSR7bVpJWP2yRCOHkMiIrE/MAkY4GM/vVXyr/AMFGPgN8HPj1448BaT8Zfh3p/iO10vRtdvNPt9RVikM4l0xd4CsM8EjByD3FefxbSdTI6jTtytP11Ss/vv8AI/QvCLi/CcE8a0syxND2seWcbK3NHmXxRvpfSz1XuykfJ/7Hvxh0L4kfsReDtD/aL/bLvorjU/C7Weu+Hbv4hWdnG1lukijt3jTa8aNbCNSNwYhjkgk171+wnoHg/wCG/wC2/rfw7/Z20uz07wZcfC+LUPGuj+HreIaZa6qLqCPS5js4iuZrP7XkDBkjgids8Mfd7nTdOuP+CfMlvNYQsj/BsqyGMYIOk4xXAf8ABOP4F/B/4AeJ/G3hL4L/AA+0/wAOaddaNod3c2unq2JZ2k1JTIzOWZjtVRyeAOK8PD5ViMDn2E9pXlPmUnrfRJbbvR3Ma3E+GxWCzOqqbpqtJ2pRt7Jc873eq1p6ciUd0nzLls/qiiiiv0E/ODx/VPg3+xJefte2XxT1fw94Ib41Jo+bGea+hGsmzEbxeatuX3Moj8xPN2EhQV3YGB64traowZLaMEdCEFfzF/tI/GP9qnQf+CoXin4neIPF+taN8SdO+Is8FrfvItvPZIspggjTd8iRC3KIoPyGM85Ukn9nPBPx08JnxNHYaD+2ddeIbu8DW9vpNx49s7rzmb+5HGA5fjjac9a+Fhxlg6EqsZUGnzPa2vnLaz77n7R4i+GmYcLUMsnVx6xCrUU1dt8lrPlhq/3fve49L+9oj7corF+Hlzrd54J0268RB/tj24MxkGGPJwWB6EjBPvW1X2tCqq9CNRK3Mk7PdXV9T8aqQ9nNx7Ox5L+3l4g+LnhX9jL4m+JPgOLz/hL7LwZfTaC2nQ+ZcJOIid0S93UbiuATkDAJwK/n8/4I8/FHxh4I/bMtzbfGO98I6RrWj3sfivWIdZhszLCsTSxq804IGbhYenzE+xNf0u1518FP2Sf2a/2ctY8Q6/8AA74M6J4avPFd4LrxBPptttN5IGdhnJIVQ0jkIuFG44Ar5/O8ixGa4ulVp1uTkv3uvNWa16PVaH6vwV4jZdwtwTm2SV8Gqs8Wkoy0stLe/fW0Pjp2TtO+17nwn8avCP7F/wAYvB/i3x38YfippPj2707wnJFP4h1rxRbaneaJaKzPGbXacW7eeVKlVDSSFUJYELX3j+yfq/xO1/8AZf8Ah3rnxrguYvGF54J0ybxRHe2whmW/a1jM4kjAAR/MLZUAYORXzL/wUj/Z/wDgp8WPitceKfiT8NNM1rUPC/w0kutAuL2Nj9im866beqghWO6ND8wI+UcV9q2JLWULMSSYlyT9K4eG8HUwea4ynOo5uPIm31um7vV6rbc+ZzvOKWL4cwmGXM2pSl71rU0vdUKerdpaOekdVFKPu3ctfnV/wcw+J/jFoH7CGmad8PJr+Lw/qvjC3tvG8tlHlTaeW7wpMw5WNrhYvYsEU9QD+iteRft1+EvDfjz9l3xD4K8Y6PFqGlareaVa6jYz52TwvqdqrocEHBBI4INfQ5zSdbKq8E7e6/wV/wAdjk4Izyjw3xdgszrUlVjSqRk4vqr9L6cy3j/eSPyC/wCCHXxz8T6R8KPGHgXx3+1Rqng7wzpOqWz+GNNXxba2EXnTCZrsoswLEZELED5QWJHLNX6Y/sw6H4R+IHi/Q/Efgzxv/wAJFaaPrFzqN1rdtqkV79pumgnifzpkypc/aCSBg8DtXT/8E9PhT8N/hD8NvFfw9+GXguw0XRNP8at9j06ziwke/TdPdjliSSWZiSSTk19ARxxxLtijVR6KMV8nk3D1avQw2KniZOK5ZqFtFbVJe9p92x7viBxfheJOK8dj8PhlSjWk7LS9rKN5WXxStzS1fvN6vcdRRRX3x+cnw58a/Hkdh+2x8WrL42+M5NM03SvBmkP4Ug1OeO3tY9Ba3dr67gLECQm98xJnOdvk26nAK7vKP2Yvjt4d8Y/syeEz8Zf22L+W61DQQmr6Lq/juwt1mtmLKkM0AClA0GwMnBG4g4Oa+9/jp+yd+zf+0zf6Bqfx7+Dui+KrjwveNdaDLqtuXNpIxQtjBG5WMaEo2VbYMg4rvzZ2hOTaxk/7gr4yvwvjK2PrV44pwU3fS9/R6rRbLfQ+3xnEeUVcqo0qWG/e2pqbailH2cORcjV2/afHUuo+8l8W55T+y74RFidc8e7pSNaW0gj3Y8tkgEpDpxzkzkZyR8ox0NetUAADAFFfS5bgll2BhhlK/Kt9r63Pj8TXeJryqNWuFZvjHTxq3hLVNLNilyLnTp4jbSZ2yho2Gw45wc449a0qK7Jx54ON7XMYvlkmeN/su+Bf7I1rWfF7W88Pm6daaZHDIm1AsDzvwCM5BlKnnsB1zXslFFcOV4COWYCGGUublvrtu2/1N8VXeKryqtWv/wAMFFFFegc4V4T+0x8Nm8eeOBo/9lSI2vaImlvfWykyPFvm4ycqCnnSMOONxJ4r3aivNzXLlmmE9g5cqun9zvY6cJiXhavOlfRoKKKK9I5jK8a+E7Pxt4cn8PXszRCXDJMoyY3ByDg9fp6Gm+B/CFl4H8OQ+H7KZpRGS0kzLgyOTknA6egHoB161r0VzfVMN9a+s8vv25b+V72NPbVPZeyv7t728zk/D/wk0fw/46uvG8F9I7Tl2htmQBYmc/Oc9/b0yevbrKKKMNhMNg4OFGPKm236vcKtapWknN3aVgr4p+Onju5039vDxvZfF/xc2m6RpPw80yfwZBqdwlvZDTnaZ9Uuo2YgO4migWZjyiRw52qQW+1q89+P37KP7OX7U1po9j+0L8ING8WRaBem70dNWgL/AGaVgAxXBGVYKu5DlW2rkHArgz3Laua5e8PTnyu6fk7dH/W9j3OHMxy/LsZP67FunOLi3FJzj70ZKUVJpX93leq92Utej+Af2Wvjr4X8X/sz+H4vin+2zqQF3ZXNvLo+qeObC0Emmi4mjtoprcKDGGtBCGThsMc4Oa+4P2VvC0ME+t/EG2d2h1ezsbW2ZSDE8UBuHV0IHzA/aSM5IOBjoc+trYWKKESziAUYAEYwBUoAAwBgDsK87L+HK2Dx0MTVxMqnImkmu6t1k/6sTmuc0Mwq1nRoKlGpJystopu6SsltsvIKKKK+pPBPO7/9kz9m7U/2gLf9qjUPg5os3xCtbP7Lb+KntyblIvLaL12lvLZk3kbtp25wAK9AW1tUYMltGCOhCCpKKiFOnTvypK7u7dX3fmdOIxmLxagq9SU+SKjHmbfLFbRV9oq7slogoooqzmCiiigDwz9qT4d/8Jv4nTTF0mQNrmhNpLX1spMhR2kymTlRt8xmHHck5Ar3GCIQwJCDkIgXn2FOorzcHl0cJjK+I5ruq07drK3zOmtiXWo06drct/ncK+Yv+ClHiXX9AHwmtb3W7rTfBl78SIk8YXcRCQFktJ5dPiuZCR5cL3yW45IDOI1J+YA/TtYfxK+GvgP4xeA9V+GHxP8ACtprfh/W7NrXVdKv490VxE3VSOoOQCCMEEAgggGtcyws8dgalCMuVyVr/wBdO/kdmSY7D5dmlOvXhzQV01o3aUXG8b6c0b80b6cyR+dnhn4+aNa/tSfFPwm37XV74Y0DTU0Xy7C08WWVhAmrtbypeopcFpGWKGyDgk7HLLwQQPq79lX4j3/jnVbRvDXxQk8X6RBbyQXeq/2tHeqxQEjfLF8hkDMB2ODz0r1b4P8AwO+EfwA+Hth8KPg14A07w94d0zzPsOlWEOI4i7tI5+bJYs7MxJJJJrqY444l2xRqo9FGK+bwHDGMwtSlOeLk1Bp8qvbTove26bbdD0s5zrL8Zian1WhywaUU3ZSfLFR5pJXSlK3M0pO0n8T3bqKKK+xPmAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK5D4+fHf4V/sxfBvxD8ffjb4qi0Twr4W05r3WdSlRn8qMEABVUFndmKoqKCWZlABJrr6+Tf8Agt78Ffif8ef+CbPjjwd8HvCV54h1zT9T0LXovDunR77jVINN1izvp7aJP45Ght5NqdWYKo5NAHsn7Jf7XnwP/bX+FB+MPwG129utNg1a50vU7LVtKmsL7TL+3YLNa3VtOqyQSrlSUYA4dT0Ir06vi7/gjb4W8f6hB+0F+0v4r+GviTwfo/xj+Peo+JvBugeLtIk0/URpgsbK0S5ntZMPbvLJbSNscBtoUnqK+0aACiiigDxv9sr9vH9nP9g3wvoHi39onX9TsrXxLrsWk6SulaHcXzvcSMqguIUYRRgugLuQuXUckgV7JXwx/wAHCPizUrX/AIJ/3Pw18NfCzx14r1rxP4v0FtNsfBHgu91h41stXsr2d5haxuYV8mCQqzYDMAo5NfZXwx+IGlfFf4c6H8TdC0rVrCy8QaVBqFpZa9pUtjewRyxh1Se3mCyQSgHDRuAykEEAigDdooooAK8C+JX/AAUv/ZN+EX7Vmhfsc/ELxTrWneLPEWo22m6bezeFr3+yG1G5hM1vYNqPlfZhdSRgMsW/dgjOM177X5x/t3fGu/8AjV/wVc+EP7KPxT+CvxSt/hX8MPEmk+Ll8Q+HvhlqepWPibxdIdmmwvewQtDaWNkJzPPK7cyYRtqxs1AH6OUUUUAFFFFAHgX7O3/BSz9lX9qD4/eIv2ZvhjrviGLxd4c0x9Tex8Q+Eb7TE1LT0uTate2UlzEi3duJhs82PKkkYyOa99r81f2DtK8U/ED/AILSfET9pP4Y/BT406B4K1j4UTWHxAu/jXo9zD9i8RDVxLBYaM90WK2giM7tHbMbbOwr2r9KqACiiigCO6uraxtZL29uEihhjLyyyMAqKBksSegA5zXlP7GP7bX7Pf7ffwhn+On7M3ii51nwzBr95o41C50+S2824tmVZCiyAFk+YFXHBBrE/wCCl/w//aF+LH7DvxA+F37LmiQ6l4w8R6ZFptvp82uJphubKa5ijv4ku3Vlt5Gs2uVSQq21mU7SRivnr/g3y8FfHv4bfs/fFzwP8bf2V3+FEEPx/wDFF14e0NtUNyn2ea6y0UBMEXmW0JVY4rlQUuEAkUKOKAPvqiiigArxr9sT9un4K/sQ6b4Xvfi7pHi/U7nxlrUuleHNI8EeELvW768uY7aS5dVt7RHkIWGKRyQOApPavZa+Hf8AguR4I+Gnif4M+FfEXjnwT+0Bf6x4evNVvPAusfs+Wt2+o6Xrb6dLbwNO9n+/ijkEzoGH7s/MJCFOCAfZngHxlp3xE8DaN8QNI07UrO01zSre/trTWNOks7uGOaNZFSeCUCSGUBgGjcBlYEEAg1rV5J+wSn7Qkf7FHwpT9rBrg/EoeAtL/wCE3N4VM/8AaX2ZPO83b8vm7s78cb91et0AFFFFAHiPxs/4KGfsxfAL9obwz+y3468R6xP4z8TwQXMenaF4avNRTS7We4+zQXV/LbxuljBJPmNZJSqlgecDNe3V+PP/AAUR+AX7ZHgv/gsbqnxq/Z/0r4wrrnxAHw7T4cav4HFz/wAIz5VhqLxa7ba+0f7lYksnllRJ/lP2himX6fsNQAUUUUAFfNfwL/4Kqfs0fH79p5v2QfDnhb4k6H43Ok3up29l40+G2paPDdWdpKsU08Ut1EiyR73UBlyCWGDzX0pXx5+yb4C8c/FX/gqb+0T+1/8AEHwZq+maX4Z03R/hd8M5dY06W3+1WNtH/aOqXUHmKPMhlvblEWVMq/2U4JxQB9h0UUUAf//Z", 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", 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", "info": {"equation": "0+7*6=42", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "4229f829a11902eb5ce2e5889336c12624cd62cad054cb7887bbbfcb3ee3c67b"} +{"episode": 928, "episode_seed": 1762001689, "split": "train", "timestamp": "2025-10-28T03:42:49.680293", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1762001689, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 8, 1, 4])", "action": "('move', [3, 8, 1, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "165/15=11", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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"info": {"equation": "165/15=11", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "d61318734cb35733ac0998bd2a283d27f0941d4134810429cbe3a795495ceb5e"} +{"episode": 929, "episode_seed": 2624797089, "split": "train", "timestamp": "2025-10-28T03:42:49.716962", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2624797089, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [5, 5, 2, 7])", "action": "('move', [5, 5, 2, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "34+0=34", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "34+0=34", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "848aa820050394c8206ae2778cf594c2c6e85d086ffb4f29fb34d1ea4ef1a7cb"} +{"episode": 930, "episode_seed": 204980685, "split": "train", "timestamp": "2025-10-28T03:42:49.763830", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 204980685, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 0, 8, 4])", "action": "('move', [3, 0, 8, 4])", "reward": 0.0, "image": 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/AHVfTZblFFFfox+LhX5N/wDB1L4j+LNj8LPhV4Z0aS9TwTf61qEuv+TH+4k1GOOH7GkjDv5b3bKp4O1j1UY/WSvBf+Chfws+Hfxo+FHh74d/FTwla65od940tzd6beFhHKUtbt1JKEHhlB4PavF4ipurkldJ292/3a2+drH3HhvxFhuE+N8Fmtel7WFOTvHS/vRcbq+nNG/NG9tUtVuecf8ABB7V/iXrH/BMH4dyfEyG4V7dLy30NrmARs+mJcyLbEAYyuwYVj1UKeRgn7BrzP8AY50bSvDv7NPhTw9oOnQ2djYWUttZWlugWOCGOeRURQOiqoAA9BXpldmWR5Muoxve0Y/kjw+Jsyp5zxHjMfCmqcatWc1FbRUpN2+Vz8jf+DqnxH8WLXwf8J/C2ny3qeCLy/1GfVRFH/o8upxpELYSMP4hE9wVU9QXIzjin/wTy+KHhvx5/wAE/wDwt4F/aI/ayu7S1n0u50q68J3nju0sYH0lJXhhtniBWRYmgUIQWBZDyea/Tb9qz4d/sufE34PXXh39sKw8MT+CkvIJ7lvFt+lraRXCviJ/Od0Eb7m2ghgTuK8hiCvx58K+DoP2UvGXhjR9DsU0ZPh9qFpa2dtEogFqLGRFjQLwE2YAA4x0r5vM+H8TiswrYmGJcE4rRXvorWeq00/PQ/Qp+IOEn4b5dw8sHy1KFaU/baa6t+69+f31zaqyjDXX3fBf+Ccfhzwt4C/aB+LfgT4MaJZad4Ii0/Qry7sNGs4o7C21+RLlLlYzGMCRrSLT3kjH3co2Bv5+wa+dP+Cd/wAIPhh8DPDvjL4e/CHwTZeH9Fh1+3nj0+wVtnmyWUJdyWJZmOBySeAB0AFfRderwzBwyOgr30v97b/A+D4rx1PMM9q1qd2rRjeXxS5YRjzSs3aUrXavK17c0t2V85ftueKbL4e2914t0Oz+1auNNRLWwRU/0q9kkENpF8zKCzyuiYJHGOa+hdV1Oz0XTZ9W1CXZBbRNJK3ooGT9TXzA3hO//aX/AGgpzdwyrp3hiwbXGLOqq2oS+Zb6dEcodwjjS5kbBBDCE8544eKn9aoU8DTXNUm7pdlFNt/Pb5s48pXsqkq8naMVb5v+rnsn7Jth4O079mzwXH4EuTPp8ugw3H2mSNUluLiUeZcSyqjMFmeZpWkAJw7MMmvQ68R/Y5GreGB4n+Hl2F/s5NYk1XRFDqDbrcnfdQFAikYuvNlBJbIuMZG3Fe3V7WU4uljcup1aeiaWnZrRr5M4sXRlQxMoS7hRRRXonMfzt/t2+Ov2pX/4Lpahq1smqyeMtI+KGn2vgS1NoGYWSTR/YEijPytG8TK3o3mOzcs1f0SV8dfHz4J/CXxF+3hp3xt13wDYXfizQ9Y8K2mj67MrGa0he8G5U52jPmPzjPzHBr7Fr5jh6g6OKxl5N/vOvpf79fwP1PxH41wfFuW5PQoYZUXhcOqcmre89Fpb7C5bxT1TlL1ZX84H7dvxQ/aJ0f8A4LT+J/F/iDxPqmkeJtH+JyWnh2+lKQPY6Wsojs2iL/IkZtHRwx4IkLnlia/o/rg9W/Zg/Z+13476f+07rHwm0e48faXppsLDxRJb5uYbciRSgOcZ2yyLuI3BWIzjiuvPcprZtRpwp1ORxkn/AF5roZeGPHuA4CxmNrYrCquq9CdJLTRuzSd/sStaaWtraO1j4n8faX+yN8eGkj+Nfxx0n4k2uk6XfNDa+KvGlpqEWm2zxgXNzHGhURsI1GZyN0YBKsuST9af8E/9U8c6z+xX8M9S+I7XratJ4StfMk1K1ENxJCFxbySoAArtAImYYHJOQDxXnn/BR/4F/B/43yeC/D3xb+Hmna/Y2K6rfWlpfRtsS4SKAK+FI3YDMMHIOeQa99+Cv/JHPCXA/wCRZsOg/wCneOvJyHA1cFnWJhUqubUYavrfXu9rWWp4OZ5vSxHDFDCrmb53Kzty01HmVqer+Ny5p6RV4x+LddNXlf7Ufwo/Y/8AijZeF4v2udE8H3cFj4jifwn/AMJbexQKdSYHZHCZHXzXcD/VfMH2jKnAx6pX4bf8HRnij4uj9qzwD4Z1O6v4vBtr4M+2eHFClYG1FrmVbt1YfekVEtAe6grjG7n288x8Muy6VaUOdXSs9tX1/rex6vhXwpiOM+M6OXUcU8NJxnL2kb8y5YvSNmrt7PVe7zPpY/cX7Jahtwto8567BUlfm9+x3+0tfa58E/h94l+J37a+oXfi7UPD9o2raNqPjuyPm3Use3y3gAD7juHy53bsd6+//hPd65e+AdPufELSNcsjfPNneybjtLZ5ztx9a5cq4iw2b4l0aVOSsr3du6VtG+58pm+S1snr1KVScZck3C8XdOzauvJ20Oir84/+Dm3xH8WNF/YW0TSvA8t7H4e1TxrbweMntEyjQLFJJAkzDlYzOiH0LqgPOAf0cryH9uvwR4T+JX7M+seAfHmgw6po2rato9vqWn3G7y7iI6pa5VtpBxwOhFdudU3VyivFO3uv8Ff8dj0eBs8ocNcYYHM61L2kaVSMnHutrq+nMr80f7yR+W//AARs+PGrp+yG/hz4o/tf6r4XtdH8R3Nn4Y0c+NbSxWKw8uOQ7I5QX2+fJNgnjqBwBX6c/sgeF9EjivfHPhu4WXTbrR7Gw0yW2lWS3lt4jK6NG4zvGJR8wJBGKm/YT8A+Cvh3+z9B4E8D+GLPTNH0nX9UttN0+1ixHBEt5LhRnJ9TkkkkkkkmvZlVVAVVAA6ACvAyLIq0Hh8bUxEpJRuotaLmjsnd7X7dEdvG/E+H4h4hx2LoYdUo1qkpWVr25r62XxPeXm2LXh//AAUr8R/Fjwl+wT8VvEnwPe9TxPZ+Drp9Ol02PdcRLgCaSMdQ6wmRgRyCuRyBXuFUfExYeG9QK9RYy4/74NfXV6bq0JQTtdNX7XW58tleMjl2Z0MXKCmqc4ycXtLlknyvydrPyP57f+CGHxV1vwT8U/G3hrUfj5e+B/DF74fiuryS28QW2nLdX0c6pAC8wJYiOS5+VfcnoK/QLRND+EOg/Hf4afFf9n/xNa658QPEPxZtrbUfE+nanDqWo63ZSqBq0V3MrEyW8VigkK8LAYYCoQkbvZ/+CYvwL+D3wSGv6L8Jvh3puhWup+FvD9/qEVlGx+0XL/bQ0jFySTgAYzgdgKo+EPgh8ItK/wCCitx8dNO+H2nReMNQ8bXlheeIFRvPktl0FwI+TtUYRBkAE7Rk1+XYLLK6wmCxDry5ZVIpR6R956rXy7dT9n4t8QMv4g41zDNKNGVKEqVuVWvUtCMbVbNLlf2vi0SjbXmX2LRRRX6sfhJ/NP8As+fFz4/6X/wVr/4Tb4n/ABF1bwx4t1Dx7fWnjjV57uKyntIWkdLqNnlGyFVjUoB0UKoXotfpF8fbH9mP4heAfFXxV8R/Gi38aeKfDvhaR9B8SXPim31LU9BmjfzbR7Hyz+4mN55Owqu+WQRxksCEr7g8IfCP9jvSP2pPFHxJ8FeH/ByfFy/0mJPFs9ldxNq32MrDsaeEOWjRgkHzlV3YTJPFeGf8FEfgb8IPiV8XNL8X+Pfh7p2q6n4U8HPeeHbu7jYmwnN0T5iAEKTlEI3A4KgjFfmWY8O4nA4CpVeJbjzfCr2d5JXevxdXpv1P33iPxLwHE/FWAxlPCywqo0IRfIkpPlTlyx1ivZvSMW27R97lfwn1T8JbzxjqPwq8M6h8RbZofEE/h+yk12FowhjvGgQzKVHCkSFhgcCugoor9MiuWKR+DVqiq1ZTSSu27LZX6LyQV59+0jpA1PwRaXB0wXBsdVjuFfaSYDskTeMezleeMMa9Borlx+E+vYKph+bl5k1fsVh6vsK0alr2dzl/gt4SPgf4W6N4ZYy7oLYuwnxvDSO0hBwBjBcjHtXUUUVtQpKhRjTX2Ul9ysZzk5zcu5+Rv/B1R4j+LFr4O+E/hXT5b1PBF7f6jPqoiT/R5dTjSIWwkYfxCJ7gqp65cjOOJP8AgnF8d08U/sQ+ENP+Pn7Y1/bXH2K40+Tw7qXjqzt4zpkcrwwQPC3z+WYFVcEhivfkGv09+Ov7PvwX/aa8ASfC749fDvT/ABPoEt1FctpupIxQTRklJFKkMrDJGQRwxHQkV0mjeGvD3h7R7Tw/oWiWtpY2FtHb2VpbwKkcESKFRFUDAVVAAA6AV8tj+G8XjMyqYmGJdNSSVle+itbdadfmz9UxPiHl1fw0wPDKwS9rQqzm6mlmnzNW0b5nzWlfS0I77R89/Zg8LjStA1fxQGk/4nmoRzLuxsKxwRxBk45B29efavT6AABgCivosvwawGCp4dO/KrX7n5fiKzxFeVS1rlTXtGtPEOi3Wh32fKuoGjcr1GR1HuOtZ3w+8D2ngDw+NDtrtrhmlaWadk272OB05wMAD8K3KK0lhcPLErEOPvpNJ+TJVWoqbpp6PWxzHg/4XaV4O8S6j4ks7x5GviRHEyACFS25lB7/ADfoB9a6eiijDYXD4Ol7OjHljdu3m3dhVq1K0uabuwoooroMzxb4jfD4+I/2g9OlGmSRCS8029kuoFP70WcqzKWJyMBl2nGOGHcg17TRRXn4HALBVK01K/tJOXpdLQ6K+IdeMFa3KrBRRRXoHOeUftR+G31y00eeLSTNIjXFvHcRozPGZlRdoxx820dR1UV6J4L0FPCvg7SfC8buy6bpkFqrSEFiI41TJxxnjtWnRXn0MAqGYVsVzXdRRVu3KrfidFTEOeHhSt8N/wAQrhPjj+zH8Af2lrfRbT48/CnSPFMfh3VF1HRU1WAuLW5AxvXBGQRjKnKtgZBwK7uiu2cIVIuM0muz1FhcVisFXVfD1HCa2lFuLXTRqzWmhH9ktQ24W0ec9dgqSiirMAr5r/4KIeItd0XU/hHYXWr3Nj4Uv/iEY/Ec8RCQy3C2Nw+nQzuT8sb3ixYHRpViXksFP0pXP/FT4VfDr43/AA+1T4U/FnwhZ694d1qAQ6ppN+haK4QMHAOCCCGVWBBBBUEEEVw5lhJ47AVKEZcrkrX/AK6dH5Hq5JjcNl+Z06+IjzQV07JNpSi4uUU9HKN+aN2veS1W5+efwn/aB8PT+PPibpt9+2ffaDpGnePpYNA0+38aWNlCifZLaS6EasCzoLx7kbyTkhhnivuH9mnxZrHjPw5d69ca6dU065aOXTtRE4lScOpJaNx8rIRtIK8c8V1vw6+F3w8+EngXSvhn8NvB9jo+g6JZpa6VplnCBHbwr0UZyT3JJJJJJJJJNbqqqgKqgAdABXiZVw9i8BiKdWpipTUVbl1ttbu9F006I7M5zbBY6tUWGoKEHZJ6c1opK8rK3NK15avVvcWvHP8AgoNrnj3w3+xd8RNb+Gt5qNtqsHh5ybvR4fMu7a1LoLqaEf8APRLYzOpGSCoI5Ar2OkkjjljaKVAysCGVhkEHsa+kr03WoSpp2umr9rrc8vLsVDAZhRxMoKapzjJxe0lFp2e+jtZ6M/NfWvjf4M8O/tQaT4R8I/tRv4V8OyfC0XN+ukeKrO1t5SLuL+zG82TcXLQS3jKoOCm1+hBP0L+ytYeFPH/jrS/FvhH4gHxRDpOo3N7e67Fq0V8bi5a1ktyJpo8qWCTL8owQFXsDn2f4Efsvfs+fsx+Hr/wp8AvhLo/hbTtT1J9Qv7XS7fas1wyqpc7iT91VAUfKoHAFd3HFHENsUaqPRRivj8BwpicNOjKriW1CSlypPlunfS7/ABt3PezrO8txFVwwNJqHLyqUklOXeUlG6vd2S5nZJK7sOooor7U+UP5q/wBnb40ftF6F/wAFZpvGHxH+J+teFPFWseOb2w+IGqyX0djNDbGZhdQyNJ8kSKsYAU8L5aBeVWv148ATeBPjVrV14W0D49TeOdS1C2S1uJm8UW+o3NnbF8HaIhiNMsSSwxnvX0/4e/Ze/Z88KfG/W/2kvDvwl0e08deI7JbTW/E0Vv8A6TdwgRjaxzgZEMWSAC2wZJxXdR28ER3RQop9VUCvhafCGK1jPFPlcr8qTaet7vVK/wAnr3P13xE8Scu4zzDDYnC4JUfZUIU3tur3tZfBG9ore29r2T6KKK+6PyIKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACvH/ANs39ur9nL9gj4faf8Sf2jvFF9Y2OraobDTLXSNGuNQu7mVYZJ5WSC3RpCkUEMs0j42okbMSK9gr4H/4LceHPiXoHiL4N/tH+D/gt4r8e6R4PXxro2uaH4L0STUr5Jtb8M3en2U32ePLGL7SUid+kaz7jwDQB90+FfFHh7xx4X03xr4R1iDUdJ1iwhvdL1C1fdFc28qCSOVD3VkZWB9DV+vIv+Cf/wAJvGfwG/YW+DnwT+IsezX/AAn8MNC0nW4t4byru3sIYpY8jghXVlz32167QAVzPxm+L3gb4BfCrX/jP8S7+4ttB8N6bJfanNaWMtzKIkGSI4olZ5HJwFVQSSQBXTVyHx++IGlfCv4J+KfiHreia1qVrpOiXE89h4c0abUb6cBCNsFtArSTOc8IoJNAEX7O3x8+HP7UnwO8L/tD/CK+urnwz4v0iLUtEnvbN7eV4JPul43+ZDx0PNdpXyL/AMEKde1K9/4Ja/Cjwb4g+H3i3wxrHg/w/HoOuaT4y8L3Wk3SXcCqzlIrlEaSL94NsoG1iGAOQcfXVABSSSJFG0sjAKoJYnsKWkkcRxtIwJCgkgDJNAHiX7JX/BQr9mP9tfxH4t8HfAzxFrD6t4Kltv7b0vxB4bvNLuPs9yHNteRR3UaNNbTCOQxzKCrbTjtn26vgL/gkP8WdQ/ae/ag+Pf7WHxX+EHxG8HeOfFV5Y6Xpmg+Mfh7qGkWmkeFdOluYdNt4rm5iSO7uZmkuLufyyQhuEQcJk/ftABRRRQB4jdf8FCv2aNP/AGx7L9hbUtZ1218d6nFMdLa68L3kel308Nqt5LaQ37Ri3luEt2WVolcsqnnB4r26vz2+M+neKfib/wAF0fg74p+F3wf+Lkd74Bt9asviHrXiXSrj/hDI9Cm0hzBd6bLIWtxeyXcsMJeDbMVjkSQbVFfoTQAUUUUAeWftYftl/AL9irwn4d8ZftAeKpdMtPFfjGw8L6CltZvcS3epXjlYYlRATj5WZm6KqkmvU6/L7/g4P+CX7bHxJ8TeAviB8C/2Xl+JvhTwnLozWcNp4mFrdaVrknifS5XuPsqwSyXCtbWiW5mG1baK5uZW3KrLX6d6dNe3GnwT6jZrb3Dwq09usu8ROQCyhsDdg5GcDOKAJqKKKAPNP2sP2rvhX+xp8KB8Yvi9ba9cabJrVlpNrZeGNAn1S/u7y7mEMEMNtbq0kru7BQFBPNdT8JPiXo/xk+GmifFPw/omt6bZa7p6XdtYeJNGm06/gRhwk9tOqyQOO6OARXhX/BWHwh8IfGX7KH2T44+Dvi7rHh+x8V6ZqMh+B9rcS+IbG4t5TLb3UItv36qkyx5eH51JU8KGI1P+CUy/tJp/wTv+E6/teNrJ+IX/AAjC/wBvHxI2dS2+dJ9m+1nr9p+zeR5uefM355zQB9B0UUUAVtZ1jSvD2kXfiDXdQhtLGxtpLi8u7iQLHDEilndmPAUKCSewFeXfsg/tsfAf9uTwJffEn9n+/wBbudIsr8W63Ot+GrvTftaNGskV1bi5jQz20qMGjmTKOM4PBFXf21vhr4v+M/7G/wAWfg/8PiP7e8VfDTXdI0TL7Qbu50+eGEZPT53Xmvj/AP4N6PDX7Q/hH4LeN/D3xN034s2PguxuPD1p4K074yrOuqWt9FodrHrccC3H7xLBdQV1gUfugqt5fyYoA/Q2iiigAr58+Ef/AAUu/Z5+Mn7WWqfsWaJ4a+IOkeONMsdRvvK8U/D7UNMs721srlLae4trm4jWO4i8yRAskZKuGBBORX0HXyh+zn4H8Z/Eb/gqh8fP2m/GnhPVLDSfCfhfw/8ADf4f3WpafLAl7AqPq2qXNuZFAlia5u7eHzEypazIzlTQB9X0UUUAFeBfGr/gph+yR+z9+1D4Z/ZB+JfjPU7bxj4ofT0tVtfD91cWNk9/PJb2CXd3GhitWuZopI4hIwLspAr32vyg/wCCkfwb+OPir/gs18P/ABv4d+BPjrV5o9Q+HbeAdZ0DQpJvDMtraa1fza++uyqPK822tZY5bQzndG77ofmJoA/V+iiigD//2Q==", 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", 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", "info": {"equation": "19*14=266", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "19*14=266", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "d4c81b315984a81c777cb0d3ce4369337834b903f0ca5e1a66d56876e420eb57"} +{"episode": 931, "episode_seed": 690638324, "split": "train", "timestamp": "2025-10-28T03:42:49.810539", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 690638324, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 0, 4, 5])", "action": "('move', [0, 0, 4, 5])", "reward": 0.0, "image": 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", 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", 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aW6BY4IY55FRFA6KqgAD0FemV2ZZHky6jG97Rj+SPD4mzKnnPEeMx8Kapxq1ZzUVtFSk3b5XCvkr/AILj+I/ix4X/AOCZPxI1D4QS3sd5La21vq02nx7pI9LluI47w8cqhhZw7DojMeBkj61rh/2mrG01P9m/4gabqFus1vceCdViniccOjWkoZT7EEirx9N1sFVpp2vFq/bQnhzM6eTcQYTHzpqpGjUhNxe0lGSdvnY/Mj/g1S1j4mS+A/i5oN9Fc/8ACGwavps+mSNABD/abxSrchXxkt5KWhZc8DYeN3P63186f8E7/hB8Mfgb4d8ZfD34Q+CbLw/osOv288enWCtsEklnCXcliWYk45JPAA6ACvouvN4ag4ZHQV76X+9t/gfQeJfEWG4s44xma0KXsoVJK0dL+7GMbu2nNK3NK19W9XuFfOX7bnimy+HtvdeLdDs/tWrjTUS1sEVP9KvZJBDaRfMygs8romCRxjmvoXVdTs9F02fVtQl2QW0TSSt6KBk/U18wN4Tv/wBpf9oKc3cMq6d4YsG1xizqqtqEvmW+nRHKHcI40uZGwQQwhPOeOHip/WqFPA01zVJu6XZRTbfz2+bPm8pXsqkq8naMVb5v+rnsn7Jth4O079mzwXH4EuTPp8ugw3H2mSNUluLiUeZcSyqjMFmeZpWkAJw7MMmvQ68R/Y5GreGB4n+Hl2F/s5NYk1XRFDqDbrcnfdQFAikYuvNlBJbIuMZG3Fe3V7WU4uljcup1aeiaWnZrRr5M4sXRlQxMoS7hRRRXonMfzt/t2+Ov2pX/AOC6WoatbJqsnjLSPihp9r4EtTaBmFkk0f2BIoz8rRvEyt6N5js3LNX9ElfHXx8+Cfwl8Rft4ad8bdd8A2F34s0PWPCtpo+uzKxmtIXvBuVOdoz5j84z8xwa+xa+Y4eoOjisZeTf7zr6X+/X8D9T8R+NcHxbluT0KGGVF4XDqnJq3vPRaW+wuW8U9U5S9WV/OB+3b8UP2idH/wCC0/ifxf4g8T6ppHibR/iclp4dvpSkD2OlrKI7Noi/yJGbR0cMeCJC55Ymv6P68q1/4S/se6h+1fo/xP8AEmg+Dn+MdtoDx6LPc3kQ1c6f+9RnjgL7nQBpk8zYcAsu7AxXVn2V1M1oU4QqcnLJO/8Al5roT4W8cYTgfG46tXwf1hVsPOmlZOzdn71/+XbtaflZ62sfIHj7S/2Rvjw0kfxr+OOk/Em10nS75obXxV40tNQi022eMC5uY40KiNhGozORujAJVlySfrT/AIJ/6p451n9iv4Z6l8R2vW1aTwla+ZJqVqIbiSELi3klQABXaARMwwOScgHivPP+Cj/wL+D/AMb5PBfh74t/DzTtfsbFdVvrS0vo22JcJFAFfCkbsBmGDkHPINe+/BX/AJI54S4H/Is2HQf9O8deVkOBq4LOsTCpVc2ow1fW+vd7WstT57M83pYjhihhVzN87lZ25aajzK1PV/G5c09Iq8Y/Fuumryv9qP4Ufsf/ABRsvC8X7XOieD7uCx8RxP4T/wCEtvYoFOpMDsjhMjr5ruB/qvmD7RlTgY9Ur8Nv+DozxR8XR+1Z4B8M6ndX8Xg218GfbPDihSsDai1zKt26sPvSKiWgPdQVxjdz7eeY+GXZdKtKHOrpWe2r6/1vY9Xwr4UxHGfGdHLqOKeGk4zl7SN+ZcsXpGzV29nqvd5n0sfuL9ktQ24W0ec9dgqSvze/Y7/aWvtc+Cfw+8S/E79tfULvxdqHh+0bVtG1Hx3ZHzbqWPb5bwAB9x3D5c7t2O9ff/wnu9cvfAOn3PiFpGuWRvnmzvZNx2ls8524+tcuVcRYbN8S6NKnJWV7u3dK2jfc+UzfJa2T16lKpOMuSbheLunZtXXk7aHRV+cf/Bzb4j+LGi/sLaJpXgeW9j8Pap41t4PGT2iZRoFikkgSZhysZnRD6F1QHnAP6OV5D+3X4I8J/Er9mfWPAPjzQYdU0bVtW0e31LT7jd5dxEdUtcq20g44HQiu3Oqbq5RXinb3X+Cv+Ox6PA2eUOGuMMDmdal7SNKpGTj3W11fTmV+aP8AeSPy3/4I2fHjV0/ZDfw58Uf2v9V8L2uj+I7mz8MaOfGtpYrFYeXHIdkcoL7fPkmwTx1A4Ar9Of2QPC+iRxXvjnw3cLLpt1o9jYaZLbSrJby28RldGjcZ3jEo+YEgjFTfsJ+AfBXw7/Z+g8CeB/DFnpmj6Tr+qW2m6faxYjgiW8lwozk+pySSSSSSTXsyqqgKqgAdABXgZFkVaDw+NqYiUko3UWtFzR2Tu9r9uiO3jfifD8Q8Q47F0MOqUa1SUrK17c19bL4nvLzbFrxz/goNrnj3w3+xd8RNb+Gt5qNtqsHh5ybvR4fMu7a1LoLqaEf89EtjM6kZIKgjkCvY6o+JiR4b1Ar1+wy4/wC+DX11em61CVNO101ddLrc+Uy7FRwOYUcTKCmoTjJxe0uVp2e+jtZ6M+Uf2Q/GS6j+2HN4W+GPiMah4Si+EEM+sJp7xz2lvN9uj/slvOUkh5beS/ZVzh40V+mCfyX/AGOPHX7Uup/8F4tI8R6+mrS+Obz4rXdr4tiuLQGWOw3yRXiMh4SKO0DgY4REXb0Ffrf/AMEwPgh8I/gWPEGi/CDwBp/h+11Twt4fv9RisFb/AEi5b7aGkYsSScADGcDsBk1R8JfBP4S6b/wUXuPjvY+AdPj8Y6j42vLC98QhGNxLbLoLgR8naBhEGQATtGTX51h8LKWUZdLnf8X85P8AK34s/Z+HeO8l4YrZzhqeE9rCvhfZRlJRUr2d3NJtcsnPVJt2hBa7r7Dooor9KPws/mn/AGfPi58f9L/4K1/8Jt8T/iLq3hjxbqHj2+tPHGrz3cVlPaQtI6XUbPKNkKrGpQDooVQvRa/R79ojRv2V/ij8N/F/xH8ZfF6y8d+ItD8JS/2Rr1/4lttV1DRXRjJamyVDiGVrvytu1d0smyM7gQh+5PCHwj/Y70j9qTxR8SfBXh/wcnxcv9JiTxbPZXcTat9jKw7GnhDlo0YJB85Vd2EyTxXhn/BRH4G/CD4lfFzS/F/j34e6dqup+FPBz3nh27u42JsJzdE+YgBCk5RCNwOCoIxX5jmXDuJwOAqVXiW483wq9neSV3r8XV6b9T994j8S8BxPxVgMZTwssKqNCEXyJKT5U5csdYr2b0jFtu0fe5X8J9U/CW88Y6j8KvDOofEW2aHxBP4fspNdhaMIY7xoEMylRwpEhYYHAroKKK/TYrlikfg1aoqtWU0krtuy2V+i8kFefftI6QNT8EWlwdMFwbHVY7hX2kmA7JE3jHs5XnjDGvQaK5cfhPr2CqYfm5eZNX7FYer7CtGpa9nc5f4LeEj4H+FujeGWMu6C2LsJ8bw0jtIQcAYwXIx7V1FFFbUKSoUY019lJfcrGc5Oc3LuFYvxI0sa58Ptc0R9OW8W80m4gktXBxMrxsrJxzyCRxW1RTqw9rSlC9rpr7whLkkpdjzH9mPwm2iaHrHiKQTK2s6ikm2UYGIoUiBXjODt9+a9Ooorny/BrAYKnh078qtfuaYis8RXlUta5U17RrTxDot1od9nyrqBo3K9RkdR7jrWd8PvA9p4A8PjQ7a7a4ZpWlmnZNu9jgdOcDAA/CtyitJYXDyxKxDj76TSfkyVVqKm6aej1scx4P8AhdpXg7xLqPiSzvHka+JEcTIAIVLbmUHv836AfWunooow2Fw+Dpezox5Y3bt5t3YVatStLmm7sKKKK6DM8W+I3w+PiP8AaD06UaZJEJLzTb2S6gU/vRZyrMpYnIwGXacY4YdyDXtNFFefgcAsFUrTUr+0k5el0tDor4h14wVrcqsFfzi/tx/F39pXwz/wWq8U+NNT8ZaxoXijSfiSLDw/qHmrbSWekGQQ2vllvkSJrORTuPyssrM33mr+jquD1b9mD9n7Xfjvp/7TusfCbR7jx9pemmwsPFElvm5htyJFKA5xnbLIu4jcFYjOOK489ymtm1GnCnU5HGSd/wCuq6H6N4Y8eYDgPGY2tisKq6r0J0ktNG7NJ3+xK1ppa2to7WPljwt4x+HvxB8UjR9G/aUl8dao9rNDp9hceMLbUZYUfAkaKKEBskBcnB4Ar7Q8F6CnhXwdpPheN3ZdN0yC1VpCCxEcapk44zx2rQS2t423R26KfVUAp9Tk+S1Mrq1KlSs6kp21flfzd9z4DGY2OKhGMYKKjfbz+SCuE+OP7MfwB/aWt9FtPjz8KdI8Ux+HdUXUdFTVYC4tbkDG9cEZBGMqcq2BkHAru6K9ucIVIuM0muz1OfC4rFYKuq+HqOE1tKLcWumjVmtNCP7Jahtwto8567BUlFFWYBXzX/wUQ8Ra7oup/COwutXubHwpf/EIx+I54iEhluFsbh9Ohncn5Y3vFiwOjSrEvJYKfpSuf+Knwq+HXxv+H2qfCn4s+ELPXvDutQCHVNJv0LRXCBg4BwQQQyqwIIIKgggiuHMsJPHYCpQjLlcla/8AXTo/I9XJMbhsvzOnXxEeaCunZJtKUXFyino5RvzRu17yWq3Pzz+E/wC0D4en8efE3Tb79s++0HSNO8fSwaBp9v40sbKFE+yW0l0I1YFnQXj3I3knJDDPFfcP7NPizWPGfhy7164106pp1y0cunaiJxKk4dSS0bj5WQjaQV454rrfh18Lvh58JPAulfDP4beD7HR9B0SzS10rTLOECO3hXoozknuSSSSSSSSSa3VVVAVVAA6ACvEyrh7F4DEU6tTFSmoq3Lrba3d6Lpp0R2Zzm2Cx1aosNQUIOyT05rRSV5WVuaVry1ere4teOf8ABQbXPHvhv9i74ia38NbzUbbVYPDzk3ejw+Zd21qXQXU0I/56JbGZ1IyQVBHIFex0kkccsbRSoGVgQysMgg9jX0lem61CVNO101ftdbnl5dioYDMKOJlBTVOcZOL2kotOz30drPRn5r618b/Bnh39qDSfCPhH9qN/Cvh2T4Wi5v10jxVZ2tvKRdxf2Y3mybi5aCW8ZVBwU2v0IJ+hf2VrDwp4/wDHWl+LfCPxAPiiHSdRub2912LVor43Fy1rJbkTTR5UsEmX5RggKvYHPs/wI/Ze/Z8/Zj8PX/hT4BfCXR/C2nanqT6hf2ul2+1ZrhlVS53En7qqAo+VQOAK7uOKOIbYo1UeijFfH4DhTE4adGVXEtqElLlSfLdO+l3+Nu572dZ3luIquGBpNQ5eVSkkpy7yko3V7uyXM7JJXdh1FFFfanyh/NX+zt8aP2i9C/4KzTeMPiP8T9a8KeKtY8c3th8QNVkvo7GaG2MzC6hkaT5IkVYwAp4Xy0C8qtfrx4Am8CfGrWrrwtoHx6m8c6lqFslrcTN4ot9RubO2L4O0RDEaZYklhjPevp/w9+y9+z54U+N+t/tJeHfhLo9p468R2S2mt+Jorf8A0m7hAjG1jnAyIYskAFtgyTiu6jt4IjuihRT6qoFfC0+EMVrGeKfK5X5Um09b3eqV/k9e5+u+IniTl3GeYYbE4XBKj7KhCm9t1e9rL4I3tFb23teyfRRRX3R+RBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAV4/8Atm/t1fs5fsEfD7T/AIk/tHeKL6xsdW1Q2GmWukaNcahd3MqwyTyskFujSFIoIZZpHxtRI2YkV7BXwP8A8FuPDnxL0DxF8G/2j/B/wW8V+PdI8Hr410bXND8F6JJqV8k2t+GbvT7Kb7PHljF9pKRO/SNZ9x4BoA+6fCvijw9448L6b418I6xBqOk6xYQ3ul6havuiubeVBJHKh7qyMrA+hq/XkX/BP/4TeM/gN+wt8HPgn8RY9mv+E/hhoWk63FvDeVd29hDFLHkcEK6sue+2vXaACuZ+M3xe8DfAL4Va/wDGf4l39xbaD4b02S+1Oa0sZbmURIMkRxRKzyOTgKqgkkgCumrkPj98QNK+FfwT8U/EPW9E1rUrXSdEuJ57Dw5o02o304CEbYLaBWkmc54RQSaAIv2dvj58Of2pPgd4X/aH+EV9dXPhnxfpEWpaJPe2b28rwSfdLxv8yHjoea7SvkX/AIIU69qV7/wS1+FHg3xB8PvFvhjWPB/h+PQdc0nxl4XutJuku4FVnKRXKI0kX7wbZQNrEMAcg4+uqACkkkSKNpZGAVQSxPYUtJI4jjaRgSFBJAGSaAPEv2Sv+ChX7Mf7a/iPxb4O+BniLWH1bwVLbf23pfiDw3eaXcfZ7kOba8ijuo0aa2mEchjmUFW2nHbPt1fAX/BIf4s6h+09+1B8e/2sPiv8IPiN4O8c+Kryx0vTNB8Y/D3UNItNI8K6dLcw6bbxXNzEkd3czNJcXc/lkhDcIg4TJ+/aACiiigDxG6/4KFfs0af+2PZfsLalrOu2vjvU4pjpbXXhe8j0u+nhtVvJbSG/aMW8twluyytErllU84PFe3V+e3xn07xT8Tf+C6Pwd8U/C74P/FyO98A2+tWXxD1rxLpVx/whkehTaQ5gu9NlkLW4vZLuWGEvBtmKxyJINqiv0JoAKKKKAPLP2sP2y/gF+xV4T8O+Mv2gPFUumWnivxjYeF9BS2s3uJbvUrxysMSogJx8rMzdFVSTXqdfl9/wcH/BL9tj4k+JvAXxA+Bf7Ly/E3wp4Tl0ZrOG08TC1utK1yTxPpcr3H2VYJZLhWtrRLczDattFc3MrblVlr9O9OmvbjT4J9Rs1t7h4Vae3WXeInIBZQ2BuwcjOBnFAE1FFFAHmn7WH7V3wr/Y0+FA+MXxetteuNNk1qy0m1svDGgT6pf3d5dzCGCGG2t1aSV3dgoCgnmup+EnxL0f4yfDTRPin4f0TW9Nstd09Lu2sPEmjTadfwIw4Se2nVZIHHdHAIrwr/grD4Q+EPjL9lD7J8cfB3xd1jw/Y+K9M1GQ/A+1uJfENjcW8plt7qEW379VSZY8vD86kqeFDEan/BKZf2k0/wCCd/wnX9rxtZPxC/4Rhf7ePiRs6lt86T7N9rPX7T9m8jzc8+ZvzzmgD6DooooArazrGleHtIu/EGu6hDaWNjbSXF5d3EgWOGJFLO7MeAoUEk9gK8u/ZB/bY+A/7cngS++JP7P9/rdzpFlfi3W51vw1d6b9rRo1kiurcXMaGe2lRg0cyZRxnB4Iq7+2t8NfF/xn/Y3+LPwf+HxH9veKvhprukaJl9oN3c6fPDCMnp87rzXx/wD8G9Hhr9ofwj8FvG/h74m6b8WbHwXY3Hh608Fad8ZVnXVLW+i0O1j1uOBbj94lguoK6wKP3QVW8v5MUAfobRRRQAV8+fCP/gpd+zz8ZP2stU/Ys0Tw18QdI8caZY6jfeV4p+H2oaZZ3trZXKW09xbXNxGsdxF5kiBZIyVcMCCcivoOvlD9nPwP4z+I3/BVD4+ftN+NPCeqWGk+E/C/h/4b/D+61LT5YEvYFR9W1S5tzIoEsTXN3bw+YmVLWZGcqaAPq+iiigArwL41f8FMP2SP2fv2ofDP7IPxL8Z6nbeMfFD6elqtr4furixsnv55LewS7u40MVq1zNFJHEJGBdlIFe+1+UH/AAUj+Dfxx8Vf8Fmvh/438O/Anx1q80eofDtvAOs6BoUk3hmW1tNav5tffXZVHlebbWssctoZzujd90PzE0Afq/RRRQB//9k=", "info": {"equation": "11*19=209", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "11*19=209", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "bc15b80626458bd67cda486c4d92056941b783bd7c488f3307af1f5316677d39"} +{"episode": 932, "episode_seed": 1389629351, "split": "train", "timestamp": "2025-10-28T03:42:49.848397", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1389629351, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 6, 3, 1])", "action": "('move', [6, 6, 3, 1])", "reward": 0.0, "image": 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hn+2V4ci8IfF7UfCOm69M1p4u1G01eO0WTTwDK/mSTfIMMikE/NngcnB/ZPw38Rfhj4u8U6faf8NTHxnqMUkjaRpmoeNrS+aOUxOrSRRRYYv5TSLnnCs3HcZ//BO79m74D/Bz4s+APFvwv+FmlaLqfiTwDdy67fWsbGS8bybGT5i7Ngb3Ztq4GT04GPvZbW1RgyW0YI6EIK/Ncl4fxGZ5Y5LEyhFtrls2vu5lv6H654teImXcYcUxx2Gwfs1GnGN5W55NXd3ZPa/KtXoltsuM/Z48Et4B+F1to8gnD3WoX2oSJcgBka6upbgrjAwAZMAHnGM5NdvRRX6RhaCwuGhRTuopL7lY/F6tR1aspvq2wr+dX/g4T8W/HDXf+CkHiPw98VptRXRNIsLRPAVtdRbLddNeFGeWADhg1x54Z+SWj2k/IAP6Kq80+P8A+xz+y/8AtT32i6n+0L8E9D8WXHh6R30ebVbcs1vvKllypG5SUUlGypx0ry8/yqrm+B9hTnyu6euz8n+fqj9M8JOPcB4d8VPM8Zh3Wg6coaW5ot2alG9lfTleq92T9H+ZX7CPxN+J3xC/4J06r8RvjZ8Rb+41tvEsHn+JL2/QXENtAdNjt5Wm6K0cEcfzv8w2ZfJya/RX9mjx/rfjzVxq2k+MT4h0SeyJ/tOO9W5hkKEIrpIhKFiVIO3r83GRx5D8a4IIPib8QbeGFEjX4i+H1WNVAUD7PoYwB6V9kIiRrtjQKB0AGK+V4fyitLMqs/bu1KpZr+drq9evz3PB4mzmlmOLq4qNCMFXcpqK2gpS5uWOi0jey222Fooor9FPjT4y/wCC9/i745+Df+Cbfiu/+BkuowyXN/a2niq50uLdLDo0hdbkkj5kQny0dl6I7ZwpYj8fv+CLnxU8XfD/APaouNCs/jPeeCvDOr6FO3ie+tdZt7BZRCjG2VpZgRnznACrydx7Zx/Qn+1LBDdfsx/Ea1uIg8cngPV1dGGQwNlKCDXzt+wD+zp8DP2ffjlq+hfBb4YaX4dtdS8FpcX8VijE3EouwqszOzMcDgDOBk4HJz8JxBgKuK4hw0YVXBzTSa+zypvTVbn7hwj4j5dkXhbmXD9XBKpUrSup6WfNyq87681O3NC19bbWu/Mdf8Mfsj/HzXxqPxa+KuhfFK703R7qO2i8YeLrXVI9Ms2ANzLFEGCQZAXfPtDKET512ivoH/glNr3jPX/2RrV/Eep6nf6NZ+J9Ws/AOo6umJ7vw5FdOmnybusieSAqSHlo1Q5IIY4H/BQr9nf4IftA/Fn4deHfjR8M9N8RWNhoeu3NnbXwcLFKbjSlLjYyk/KSMHI56V7F+xhaWth+yn4BsLG2jggg8NW8UEEKBUjRVwqqo4UAAAAcACnkOBq4PiPEU51XNxirt9b2eur22Wp8VmWd0a/CFLCLmlKU72lbkpKPPpT1bvPmvL3YJWtaV7r06iiivuj4Q8S+OnwN/YG8dftBeDvG37QfhvwDcfEm1aFfBb+INQhi1GcxzF4lhhaRTcbZSSo2vhiccmvaTZ2hOTax/wDfAr+ZD/gq/wDED9oXUv8AgpJ8SNc+MWq6xaa9oXi+eDwy826CSy0uGdm05rfbjYnkmOVWX7zOXzuYmv1N/Zu/aSn8QfAjwV4p+MP7eOp2/iq88PWdz4gtJ/iFp8Oy6ZAzq0QX5Oeq9unFfDQ4wweHxVaE6DVpWvFK7tpeW2v3n7lx74W5jw3wxlOOqZiq6rQ0g27U7pTtS1d4a6tKOtnb3tP0lVVQbVUADoAKWvKv2bfF/iPxkL3WZdabU9JuoEuLW/E/mxSM/wAwMTjKsrKc/KcY2468+q19VlmPhmeDjiIxcU76Pydj8VxWHlhazpt3sFfnH/wcyeLfjj4c/Ym0XS/htNqMPhfVvFC23jyewj+U2+zdbxTOOUieYD0DMEUnkA/o5XkH7eXhrQfGf7Kfijwj4p0uO+0zVJNPtNQs5s7J4ZNQtldDgg4Kkjgg81GcUXXyqtBSt7r1Xlr+Oz8j6LgjPaPDPF2CzStRVWNKopOL69Lq+nMr80X0kkz8R/8Aghh8X/FHg3x5418G6t+0DfeB/B82jpez/Z/ENtpyXGpiaOOL55gS58nzvlXjABP8NfeXj34ffsP/ABqtfEfjb40ePvDvxDni8PiDV/EHifxRbancaVpysSoicMFtFEhLBkClnbBJzivoH/gnf8EvhJ8DPE3j7wF8Ivh/p2gaOsGkXH2GxjO0yv8AbNzsWJZmIVRkk8KB0AFcN/wUF/Zr+Avxq/aEvvEPxY+FWk69eeHvhnZzaNNfxsRbObrU3JChgrgtGhwwYfL05OfzStlWIhw3HFuvJx09zWyvK3e3nsfpPEnHeA4k8SK2ZUac8LCVlzU7e1ajFau0oq8mld8ztppK2vuX/BObXPip4k/Yf+Gus/Ghb7/hIZvDifaH1S0EFzLbh3W1kljAG2R7YQu2QDljkA5Fe11znweYt8JPCzMck+HLEkn/AK90ro6/V8PB0sPCDd7JK73dluz8ZzPFxx+ZVsTGCgqk5SUY7R5m3yryV7LyCv5Svj38U/2mz+2Pr3xW+LGtavZfFTT/ABn9purq8jEdzY6jbzDylVDlUERjjVFHyBUUD5QK/q1r4C+Pv7OPwL1/9rTxj8f9c+F2l3XjPTviV4dhsPEM8bNPAiw6Kq7QW2ZCuwDbcjPBzivk+MsPKrh6ElJr30v/AALr6q2nqz9c8GvELL+AsVmDxWEVf21Ky2unFv3Xf/l3Pm9+137sdGYl74/+D/xR+F0Hg344/toTa1ZarpNunifQNS+JtmttdsURpoJhCUJjLhlZAwDLlTkEg9J+xj4V8HfC/wD4KKXvg79mvw/YaX4f1P4aPc/FLSvDthClha3sVxEujySeWMQXEkUl9hBt3xoHKnO8/T/7a/h/RNb/AGR/iNouraVBPaXnhG9guoHjG2SN4irKcdipI/GvKP8Agnt8B/g5+z38U/Hng74J/DvTvDemXPh/Rbq5tdORsSzG51Rd7M7MzHaqgZPAHGK86GVYjA8SYWFTESqNqTu730T01b0fU+XwXEGHhw/jY8slzpxVJW9ledk5y1+KFk4JQfvRi3Jctn9WUUUV+hn58FFFFAHzvY/Cr+2fjdDYnSJbFLLxe+uzC2UhDIJpJi5LA/K7sSfUk4xX0RRRXlZVlccrhUipuXPJy18+n/BOrF4p4qUW1aySCvDv+Ck3iT4qeEP2HviF4i+DN5q1rrttpUObzQbfzb20sWuoVvp4FwT5sdmbiRSAWUoCASBXuNHXrXoV6TrUJ007cyaut1dWuvQ0yvGRy7M6GLlTVRU5xk4vaXLJPle+jtZ6PQ/MT4+/GXwX4B8R/AzSvg9+0DH4bhvtdW2S60TX7SMS+GfscgnkaaQsEi3QW4WQH5nUqCTxXsfw++OvhmbX/wCx/Dn7Ydz4mvNQiMMOlXHjm0u2cjDkxxxYfeAp5H8O7tX0V8Df2Mv2WP2afEGu+KvgP8DdA8Mah4lcNrV1plqVa4w7OFGSRGm52OxNq9OPlGPSltbVGDJbRgjoQgr4jD8IY+nh/ZvGOO+kb2/9KW/XQ+mzjPsmrVacMFQbhBfHNRU5NtvVR5kuW/Kved0r6X5VkfDm61698E6fc+JlcXrw5m8xcMeTtLDsSMEj1rboor7ehSdGhGm5N8qSu93ZbvzZ8dUkpzcrWuwooorUg+ePib8LG8X/ABkvtFfR5bX+19dsL+5ntFOZhbm22yksCPuW0aHtxjg19D0UV5WW5XHLqlaam5e0k5a9L9PP1OvE4p4mMI2tyqwUUUV6pyHzT/wVY8Q+MfD37Mdj/Ymqahp/h2/8c6PZfEbUdMUB7Xw7LPtu2d+sULHyo5ZB92KR8kLuYfMnxn+OmkeG/wBr/wCHHh3wt+0k/ha1vvDGry+LzpHiGztYvsPlxSWMkk0mdpadh5YB+dGYgFQSP0o1jR9J8Q6RdaBr2mQXtjfWz297Z3UQkinidSrxurAhlZSQQeCCRXBfs9fsj/s2fso6DqHhr9nj4PaP4VstVu1udSj0+Ji1zKq7FLvIzMQozhc4G5iACxz8rm/D+JzLMoYmnXcElbrdb/Dqt766r5n22UcQ5Pgsklh8Rh+erH2ijpHkl7SKjzTb95Sp/FCykm+X4OVuXzL4E8dfD3xl4vh/sf8AaIPjvW4rSSOxt7rxbbajPbws8bSiKOHBAZo4dxwfuJ07/XHwT8Ep8OPhJ4e8DRyTMNM0qKHNwRv4HOcADPPpXSpbW8Tbo4EU+qqBT66cnyKeWYmpXqVnUlJJXa7ed3c+axmPjiqcYRgopdv+GQUUUV9CeceZfFH9jT9lr41fFfQvjl8VvgfoOu+LfDXlf2Jrl/bFprbypDLGOCA4SQllDhgCTjGa9JNnaE5NrH/3wKkoqI0qcJOUYpN76b+vc6q+OxuKpU6VarKUaatFOTait7RTdoq+tlYRVVBtVQAOgApaKKs5Qr5T/wCCn/irxH4duPhDZarrt3pXw+vviEB47v4WWO33x28kumxXUpI8q3e9SEEkhWYIpPIDfVlY3xD+Hvgj4seB9V+GvxJ8MWetaDrdk9pqul38QeK5hcYZWH6gjBBAIIIBrizLCTx2BqUIy5XJWv8A106PyPXyLH4fLM1p4ivDnguZNaXtKLjzRvpzRvzRvpzJH5x698ddN0P9uvVfBdh+1Hd+FNFh+G0Mnie2sfEtnYwx6sl8VtUZ5AWMxt3uS0eflURsQNy59V8Ean4C+KN9qul+FvjWfHWsahpy2d1cnxJBqV3DbfvFRB5P3EDTSMMr95zyelfVXwL/AGcfgZ+zP4DX4ZfAf4Y6X4Z0JbyS6On6dCdrzyY3yMzEs7EKoyxJwqjoAB2ccEERzFCik9SqgV8hDg3FSwyo1cW+XrFJuPyvL9D2M04gy2ri08FQtCMVFSlZTlbeUkrpNvopOysuZ2u6PhDQo/C3hPS/DMUjuunadBaq7kFmEcaoCccZ47Vo0UV92lZWPkW7sK/J69+NGpaJ/wAE9fHPxD+KfxVvtL+KAutUm8S3F9NDHqVj4uS5dre1WBshCkkFukMQXH2eJGUFRuP6w15lq37Gf7LWu/tBW37VWsfA/Qbj4hWaItv4pktibhSsRiViM7WdYztDlSwAUAjaMfP8QZNXziFJU6nJyu//AAfVW09Xqj67hbO8oyqNWGPouacoTXKott0+f92+a1oVOf3mrtcsXyS2PkLRfjH8PPEfgjT7D4m/tuTak13pVuNf0fUfiNYNb3EjRKZoZETGULbgVBHHGa+qP2X/AAabbXde+JLtNnVbCysY9wHlukElzJvXjJybkgnJHyj0NevfYrP/AJ9Iv+/YqQADgCufAcN1sJmEMVWxMqjinZNd1bdyZ4+LzSGIpTpwpKCk76bb32sFFFFfUnkBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUVBqtpLqGmXNhDctC88DxpMnWMspAYe4zmgD54/Z3/AOCrv7EX7Uv7Qmp/sy/Bv4nXd94lsFvmsZLrQrq2sNbWym8m8OnXcqCG9EEh2yeUzbeTyATX0dX4qf8ABK39m/8AaZsP2if2Qv2ePGP7N/jjwpefsk2XxIj+KHi7W/D8ttpF+2q3My2K6deN8l+LgSrK3lk7QDu6V+1dABRRRQAV4b+2z/wUT/Zg/wCCfmleHNW/aS8RavZJ4q1P7DpEej+Hrm/YvvijLyGFGWGMPNCu9yoLSKBknFe5V+ff/Bx/4t1aX9g2L4KeD/hH4/8AF3iDxX4u0a80228D+Br7WFhh07VrG6uTcPaxuLf90GKb8eYVYLnBwAfoGrBlDDoRkUtc18Hfibovxm+F+h/FPw5out6bY67p6XVrY+JNFm06/gRuiz206rJC/HKOARXS0AFFFFAFDxV4n0PwT4X1Lxn4nvxa6ZpFhNe6jdMjMIYIkMkj4UEnCqTgAnjgV4f+yB/wUy/ZS/be8ceJPhh8Fde8QW3ibwrZwX2q+HfF3hK+0a9+wznEN5HDeRRtJA/GJAMfMvqM+1eOfFMHgbwTrHja60i/1CLR9KuL6Sw0q0ae6uVijaQxQxLzJIwXaqDlmIA61+cv/BGb4o6x+1X+2X8WP21v2jPg38TfB/xZ8Z6Amm6P4a8UfDLU9J0rwr4SsrsC109L66hSK9vZZJRcSlT3IRQqNQB+l9FFFABRRRQB87/tm/8ABUX9kz9gnXrLQ/2i9W8U2aXFnFeX+q6N4J1DUbDR7WWfyI5766t4WitEaQFV8xgTtOBX0DpupWGs6db6vpd2k9rdQJNbTxnKyRsAysD3BBBr8yv+Di+wuPjn8Lov2b/A/wACv2g9e+JEVlb3/wAMpfh7ot3ceE9Yv5r6DNtrGwm0lSH7KjlL1QqrKTGTuav0k+HsXieDwBocHjW3tYtZTR7ZdXislAhS6ES+asYHAQPuAx2xQBsUUUUAFBIUFmIAA5JorxP/AIKN+EP2lviF+xH8Rfh/+yFFC/xC17QG07Q/O1RLEqs8iRXDJcOCsEot2mKSEHa+04OMUAL+xr/wUF/Zf/b5i8b3f7MPjW4121+H/iybw7r96+nSQwteRjJMDuAJoyORIvBBBHWva6/Mr/g31+Fn7SXwT+Lf7TPgP4rfsS/8Kg8LyePdPl8PWq+IzfW8bQ6ZbWotLWT7NCL2FYokc3ifKzsybdykn9NaACiiigAr5z+JX/BUD9nX4Z/tVTfscXPhD4la74ys30oaqfCXw21LVbDTF1EkWsl1dW0TRWyMA5LyEACNyThTj6Mr8lv+CqHgD4haV+3a/j/9hTwJ+0zpf7ROveL/AAhBDreg2t3H4A1bRbYKJzfyxf6JJDHBLdI63J8xZM7BtbJAP1pooooAKKKKAOQ+Pnx6+Ev7MHwd1/4+fHXxpa+HvCfhiwN3rOrXeSkMeQoACgs7MzKiqoLMzAAEkVz/AOyl+1x8Jv2yPh5P8SPhJZ+JbO1tL82d5YeLvCl5o19BJ5aSKWt7uNJNjRyI6uAVYMCDXzv/AMHBP7O3xi/aY/4Jl+J/BPwO0HWNW1vSvEeh67JpHh0btQvLSy1CGedbZf451jVpET+JowACSBVH/ghtb/tBx/Dr4sXPxEn+LDfDef4nTN8FB8cHum8SjRvs0Xmm4+2f6SIjc+b5Yl+bAbHy4oA+5aKKKAP/2Q==", 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", 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", "info": {"equation": "72+8=80", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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TNGLqWIdQ6WxncMPmUruXkCvfKbOSIXK9dpx+VfW16TrUJU07cyaut1dbr0PyjKcdDLM1oYyVNVFSnGbhL4ZKMk+WXlK1n5M/mE/4JX/Fv4j/AAz/AGyvDkXhD4vaj4R03XpmtPF2o2mrx2iyaeAZX8ySb5BhkUgn5s8Dk4P7J+G/iL8MfF3inT7T/hqY+M9RikkbSNM1DxtaXzRymJ1aSKKLDF/KaRc84Vm47jP/AOCd37N3wH+DnxZ8AeLfhf8ACzStF1PxJ4Bu5ddvrWNjJeN5NjJ8xdmwN7s21cDJ6cDH3straowZLaMEdCEFfmuS8P4jM8scliZQi21y2bX3cy39D9c8WvETLuMOKY47DYP2ajTjG8rc8mru7sntflWr0S22XGfs8eCW8A/C620eQTh7rUL7UJEuQAyNdXUtwVxgYAMmADzjGcmu3oor9IwtBYXDQop3UUl9ysfi9Wo6tWU31bYV/Or/AMHCfi344a7/AMFIPEfh74rTaiuiaRYWieAra6i2W66a8KM8sAHDBrjzwz8ktHtJ+QAf0VV5p8f/ANjn9l/9qe+0XU/2hfgnofiy48PSO+jzarblmt95UsuVI3KSiko2VOOleXn+VVc3wPsKc+V3T12fk/z9UfpnhJx7gPDvip5njMO60HTlDS3NFuzUo3sr6cr1Xuyfo/zK/YR+JvxO+IX/AATp1X4jfGz4i39xrbeJYPP8SXt+guIbaA6bHbytN0Vo4I4/nf5hsy+Tk1+iv7NHj/W/HmrjVtJ8YnxDok9kT/acd6tzDIUIRXSRCULEqQdvX5uMjjyH41wQQfE34g28MKJGvxF8PqsaqAoH2fQxgD0r7IREjXbGgUDoAMV8rw/lFaWZVZ+3dqVSzX87XV69fnueDxNnNLMcXVxUaEYKu5TUVtBSlzcsdFpG9lttsLRRRX6KfGnxl/wXv8XfHPwb/wAE2/Fd/wDAyXUYZLm/tbTxVc6XFulh0aQutySR8yIT5aOy9Eds4UsR+P3/AARc+Kni74f/ALVFxoVn8Z7zwV4Z1fQp28T31rrNvYLKIUY2ytLMCM+c4AVeTuPbOP6E/wBqWCG6/Zj+I1rcRB45PAerq6MMhgbKUEGvnb9gH9nT4Gfs+/HLV9C+C3ww0vw7a6l4LS4v4rFGJuJRdhVZmdmY4HAGcDJwOTn4TiDAVcVxDhowquDmmk19nlTemq3P3DhHxHy7IvC3MuH6uCVSpWldT0s+blV5315qduaFr622td+Y694Y/ZI+PfiAal8WfiroXxRvNN0e6jtovGHi611RNMs2AN1JFEGCQAgJvn2hgET512ive/8AgkvfeJLr9jqxsb+W8m8O6b4k1ax+Hd1fW6xvP4bhunTTnGMb4/JACOfvRqhyQQxxv+ChX7O/wQ/aB+LPw68O/Gj4Z6b4isbDQ9dubO2vg4WKU3GlKXGxlJ+UkYORz0r2L9jC0tbD9lPwDYWNtHBBB4at4oIIUCpGirhVVRwoAAAA4AFPIcDUwfEeIpzqubjFXb63s9dXtstT4rMc7o1+EKWEXNKUp35ZW5KSjz6U9W7z5ry92CVrWle69Oooor7o+EPEvjp8Df2BvHX7QXg7xt+0H4b8A3HxJtWhXwW/iDUIYtRnMcxeJYYWkU3G2UkqNr4YnHJr2k2doTk2sf8A3wK/mQ/4Kv8AxA/aF1L/AIKSfEjXPjFqusWmvaF4vng8MvNugkstLhnZtOa3242J5JjlVl+8zl87mJr9Tf2bv2kp/EHwI8FeKfjD+3jqdv4qvPD1nc+ILSf4hafDsumQM6tEF+TnqvbpxXw0OMMHh8VWhOg1aVrxSu7aXltr95+5ce+FuY8N8MZTjqmYquq0NINu1O6U7UtXeGurSjrZ297T9JVVUG1VAA6AClryr9m3xf4j8ZC91mXWm1PSbqBLi1vxP5sUjP8AMDE4yrKynPynGNuOvPqtfVZZj4Zng44iMXFO+j8nY/FcVh5YWs6bd7BX5x/8HMni344+HP2JtF0v4bTajD4X1bxQtt48nsI/lNvs3W8UzjlInmA9AzBFJ5AP6OV5B+3l4a0Hxn+yn4o8I+KdLjvtM1STT7TULObOyeGTULZXQ4IOCpI4IPNRnFF18qrQUre69V5a/js/I+i4Iz2jwzxdgs0rUVVjSqKTi+vS6vpzK/NF9JJM/Ef/AIIYfF/xR4N8eeNfBurftA33gfwfNo6Xs/2fxDbaclxqYmjji+eYEufJ875V4wAT/DX3l49+H37D/wAarXxH42+NHj7w78Q54vD4g1fxB4n8UW2p3GlacrEqInDBbRRISwZApZ2wSc4r6B/4J3/BL4SfAzxN4+8BfCL4f6doGjrBpFx9hsYztMr/AGzc7FiWZiFUZJPCgdABXDf8FBf2a/gL8av2hL7xD8WPhVpOvXnh74Z2c2jTX8bEWzm61NyQoYK4LRocMGHy9OTn80rZViIcNxxbrycdPc1sryt3t57H6TxJx3gOJPEitmVGnPCwlZc1O3tWoxWrtKKvJpXfM7aaStr7l/wTm1z4qeJP2H/hrrPxoW+/4SGbw4n2h9UtBBcy24d1tZJYwBtke2ELtkA5Y5AORXtdc58HmLfCTwszHJPhyxJJ/wCvdK6Ov1fDwdLDwg3eySu93Zbs/GczxccfmVbExgoKpOUlGO0eZt8q8ley8gr8prb4r+Jo/wBgvxd4u8c/EHVIPi7c6nqB1mKcRHVofGYvG+yWEdqc/MJYLaOGFVObeNCoK/Mf1Zr4D+Pn7OXwL139rXxj+0DrXwu0u58aab8S/DsVh4inRmngVYdFVdo3bMhXYBtuRng5Ar5PjLDyq4ehJTatNLT+919VbT1Z9VwbmWV4P21LG0nJXhUTSi23T5v3b5rWhU5/eau1yxfJLYof8F9vGv7S+g/8EtdNufCKajazavqOmWnxRfTrcZhsJbWXz0kK58uJrvyI22nBD7CdrEH48/4Nc9f+MVt+1R448N+HYLt/A914QWfxQ62waCO+jmAsd0hHyOVe7CqD8wD8Hbkfr7+2zpWna7+yN8RtD1izS4tL3whe293byfdlieIqyn2IJH415L/wT2+BHwd/Z8+Kfjzwb8E/h3p3hvTLnw/ot1cWmnK2JZjc6ou9mdmZjtUAZPAHGKnHYWX+tuFlzvWL/wDJU/z6/M+4yXxHy/A+EmY8OSwUXUrTupq3LaTi7yW/NC3uW8tuXX6rooor7Q/EAooooA+d7H4Vf2z8bobE6RLYpZeL312YWykIZBNJMXJYH5XdiT6knGK+iKKK8rKsrjlcKkVNy55OWvn0/wCCdWLxTxUotq1kkFeHf8FJvEnxU8IfsPfELxF8GbzVrXXbbSoc3mg2/m3tpYtdQrfTwLgnzY7M3EikAspQEAkCvcaOvWvQr0nWoTpp25k1dbq6tdehpleMjl2Z0MXKmqipzjJxe0uWSfK99Haz0eh+Ynx9+MvgvwD4j+BmlfB79oGPw3Dfa6tsl1omv2kYl8M/Y5BPI00hYJFugtwsgPzOpUEnivY/h98dfDM2v/2P4c/bDufE15qERhh0q48c2l2zkYcmOOLD7wFPI/h3dq+ivgb+xl+yx+zT4g13xV8B/gboHhjUPErhtautMtSrXGHZwoySI03Ox2JtXpx8ox6UtraowZLaMEdCEFfEYfhDH08P7N4xx30je3/pS366H02cZ9k1arThgqDcIL45qKnJtt6qPMly35V7zulfS/Ksj4c3WvXvgnT7nxMri9eHM3mLhjydpYdiRgketbdFFfb0KTo0I03JvlSV3u7Ld+bPjqklObla12FFFFakHzx8TfhY3i/4yX2ivo8tr/a+u2F/cz2inMwtzbbZSWBH3LaND24xwa+h6KK8rLcrjl1StNTcvaSctel+nn6nXicU8TGEbW5VYKKKK9U5D5p/4KseIfGPh79mOx/sTVNQ0/w7f+OdHsviNqOmKA9r4dln23bO/WKFj5Ucsg+7FI+SF3MPmT4z/HTSPDf7X/w48O+Fv2kn8LWt94Y1eXxedI8Q2drF9h8uKSxkkmkztLTsPLAPzozEAqCR+lGsaPpPiHSLrQNe0yC9sb62e3vbO6iEkU8TqVeN1YEMrKSCDwQSK4L9nr9kf9mz9lHQdQ8Nfs8fB7R/Ctlqt2tzqUenxMWuZVXYpd5GZiFGcLnA3MQAWOflc34fxOZZlDE067gkrdbrf4dVvfXVfM+2yjiHJ8FkksPiMPz1Y+0UdI8kvaRUeabfvKVP4oWUk3y/Byty+ZfAnjr4e+MvF8P9j/tEHx3rcVpJHY2914tttRnt4WeNpRFHDggM0cO44P3E6d/rj4J+CU+HHwk8PeBo5JmGmaVFDm4I38DnOABnn0rpUtreJt0cCKfVVAp9dOT5FPLMTUr1KzqSkkrtdvO7ufNYzHxxVOMIwUUu3/DIKKKK+hPOPMvij+xp+y18avivoXxy+K3wP0HXfFvhryv7E1y/ti01t5UhljHBAcJISyhwwBJxjNekmztCcm1j/wC+BUlFRGlThJyjFJvfTf17nVXx2NxVKnSrVZSjTVopybUVvaKbtFX1srCKqoNqqAB0AFLRRVnKFfKf/BT/AMVeI/Dtx8IbLVddu9K+H198QgPHd/Cyx2++O3kl02K6lJHlW73qQgkkKzBFJ5Ab6srG+Ifw98EfFjwPqvw1+JPhiz1rQdbsntNV0u/iDxXMLjDKw/UEYIIBBBANcWZYSeOwNShGXK5K1/66dH5Hr5Fj8Plma08RXhzwXMmtL2lFx5o305o35o305kj849e+Oum6H+3Xqvguw/aju/Cmiw/DaGTxPbWPiWzsYY9WS+K2qM8gLGY273JaPPyqI2IG5c+q+CNT8BfFG+1XS/C3xrPjrWNQ05bO6uT4kg1K7htv3iog8n7iBppGGV+855PSvqr4F/s4/Az9mfwGvwy+A/wx0vwzoS3kl0dP06E7XnkxvkZmJZ2IVRliThVHQADs44IIjmKFFJ6lVAr5CHBuKlhlRq4t8vWKTcfleX6HsZpxBltXFp4KhaEYqKlKynK28pJXSbfRSdlZcztd0fCGhR+FvCel+GYpHddO06C1V3ILMI41QE44zx2rRoor7tKysfIt3YV+T178aNS0T/gnr45+IfxT+Kt9pfxQF1qk3iW4vpoY9SsfFyXLtb2qwNkIUkgt0hiC4+zxIygqNx/WGvMtW/Yz/Za139oK2/aq1j4H6DcfEKzRFt/FMlsTcKViMSsRnazrGdocqWACgEbRj5/iDJq+cQpKnU5OV3/4Pqraer1R9dwtneUZVGrDH0XNOUJrlUW26fP+7fNa0KnP7zV2uWL5JbHyFovxj+HniPwRp9h8Tf23JtSa70q3Gv6PqPxGsGt7iRolM0MiJjKFtwKgjjjNfVH7L/g022u698SXabOq2FlYx7gPLdIJLmTevGTk3JBOSPlHoa9e+xWf/PpF/wB+xUgAHAFc+A4brYTMIYqtiZVHFOya7q27kzx8XmkMRSnThSUFJ3023vtYKKKK+pPICiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooqDVbSXUNMubCG5aF54HjSZOsZZSAw9xnNAHzx+zv/wAFXf2Iv2pf2hNT/Zl+DfxOu77xLYLfNYyXWhXVtYa2tlN5N4dOu5UEN6IJDtk8pm28nkAmvo6vxU/4JW/s3/tM2H7RP7IX7PHjH9m/xx4UvP2SbL4kR/FDxdrfh+W20i/bVbmZbFdOvG+S/FwJVlbyydoB3dK/augAooooAK8N/bZ/4KJ/swf8E/NK8Oat+0l4i1eyTxVqf2HSI9H8PXN+xffFGXkMKMsMYeaFd7lQWkUDJOK9yr8+/wDg4/8AFurS/sGxfBTwf8I/H/i7xB4r8XaNeabbeB/A19rCww6dq1jdXJuHtY3Fv+6DFN+PMKsFzg4AP0DVgyhh0IyKWua+DvxN0X4zfC/Q/in4c0XW9Nsdd09Lq1sfEmizadfwI3RZ7adVkhfjlHAIrpaACiiigCh4q8T6H4J8L6l4z8T34tdM0iwmvdRumRmEMESGSR8KCThVJwATxwK8P/ZA/wCCmX7KX7b3jjxJ8MPgrr3iC28TeFbOC+1Xw74u8JX2jXv2Gc4hvI4byKNpIH4xIBj5l9Rn2rxz4pg8DeCdY8bXWkX+oRaPpVxfSWGlWjT3VysUbSGKGJeZJGC7VQcsxAHWvzl/4IzfFHWP2q/2y/ix+2t+0Z8G/ib4P+LPjPQE03R/DXij4ZanpOleFfCVldgWunpfXUKRXt7LJKLiUqe5CKFRqAP0vooooAKKKKAPnf8AbN/4Ki/smfsE69ZaH+0Xq3imzS4s4ry/1XRvBOoajYaPayz+RHPfXVvC0VojSAqvmMCdpwK+gdN1Kw1nTrfV9Lu0ntbqBJraeM5WSNgGVge4IINfmV/wcX2Fx8c/hdF+zf4H+BX7QevfEiKyt7/4ZS/D3Rbu48J6xfzX0GbbWNhNpKkP2VHKXqhVWUmMnc1fpJ8PYvE8HgDQ4PGtvaxaymj2y6vFZKBCl0Il81YwOAgfcBjtigDYooooAKCQoLMQAByTRXif/BRvwh+0t8Qv2I/iL8P/ANkKKF/iFr2gNp2h+dqiWJVZ5EiuGS4cFYJRbtMUkIO19pwcYoAX9jX/AIKC/sv/ALfMXje7/Zh8a3Gu2vw/8WTeHdfvX06SGFryMZJgdwBNGRyJF4III617XX5lf8G+vws/aS+Cfxb/AGmfAfxW/Yl/4VB4Xk8e6fL4etV8Rm+t42h0y2tRaWsn2aEXsKxRI5vE+VnZk27lJP6a0AFFFFABXzn8Sv8AgqB+zr8M/wBqqb9ji58IfErXfGVm+lDVT4S+G2parYaYuoki1kurq2iaK2RgHJeQgARuScKcfRlfkt/wVQ8AfELSv27X8f8A7CngT9pnS/2ide8X+EIIdb0G1u4/AGraLbBROb+WL/RJIY4JbpHW5PmLJnYNrZIB+tNFFFABRRRQByHx8+PXwl/Zg+Duv/Hz46+NLXw94T8MWBu9Z1a7yUhjyFAAUFnZmZUVVBZmYAAkiuf/AGUv2uPhN+2R8PJ/iR8JLPxLZ2tpfmzvLDxd4UvNGvoJPLSRS1vdxpJsaORHVwCrBgQa+d/+Dgn9nb4xftMf8Ey/E/gn4HaDrGra3pXiPQ9dk0jw6N2oXlpZahDPOtsv8c6xq0iJ/E0YABJAqj/wQ2t/2g4/h18WLn4iT/FhvhvP8Tpm+Cg+OD3TeJRo32aLzTcfbP8ASREbnzfLEvzYDY+XFAH3LRRRQB//2Q==", "info": {"equation": "72+8=80", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "5d83052b7b2ebbc4f5a1cecfd7dde60e1a440708406227a95a4bc008e649f6fc"} +{"episode": 933, "episode_seed": 825572656, "split": "train", "timestamp": "2025-10-28T03:42:49.895115", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 825572656, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [1, 4, 0, 5])", "action": "('move', [1, 4, 0, 5])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "99+34=133", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "99+34=133", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "3fea0fff7350feac463a3a0821f9c296ddb256fe3dfd187b2293a2a797cf85db"} +{"episode": 934, "episode_seed": 1254997016, "split": "train", "timestamp": "2025-10-28T03:42:49.936743", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1254997016, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 5, 1, 7])", "action": "('move', [0, 5, 1, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "3+9*1=12", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", "info": {"equation": "3+9*1=12", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "d6fa05c872eee04180e9fa5e4f0f0455a591458e5585bf85659207c269831603"} +{"episode": 935, "episode_seed": 737335976, "split": "train", "timestamp": "2025-10-28T03:42:49.974076", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 737335976, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 5, 6, 1])", "action": "('move', [3, 5, 6, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "54/3=18", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "54/3=18", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "118b600e9d5e91ccafec1e2849af66810f2ed10333a1046abdca1d811a4032cf"} +{"episode": 936, "episode_seed": 1913023542, "split": "train", "timestamp": "2025-10-28T03:42:50.025064", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1913023542, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 0, 2, 7])", "action": "('move', [0, 0, 2, 7])", "reward": 0.0, "image": 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/ACZL9b/I+18KeLMLwXxhTzLEUPbR5KkbaXTlF2avp5P+65b7P6U+GV34qv8A4b+Hr7x1A0WtzaHaSazE8YQpdGFDKCo4Uhy3A4FblFFfQxXLFI/O6s1Uqymkldt2Wy8l5H8537B/xq+O2if8FUfEer/FX4ya14O1PxBqetw/EjUZNVi0+Tchlk8mVpvkj23McShQMjAVcDIr9FrfR/g1cfHL4e/Gj4TeMrTxZ8R774saRanxZFqtvqup3Vs6CC/tnlUnbbppf2hmRQAgQSYDHcfs34cfCz9k3w98ffHXjj4X6H4ST4jastp/wsGXTLqKTUQCmYPtMQYtDvUbhlV8zAY7iM143q3wa+Fa/wDBSCD43DwLYf8ACWxa1BpsWvbG89LQ6E7GIc7QCSeQM4JGcHFfnNbIMTgJ0ZyxLknWirK9leW+/wAXfTe+p+48U+I2B4l4h+v08JLDqOFjTcUl+8tG/LPVfunzJL4r04x93X3frKvE/wDgpBr/AMT/AAt+wd8WPEPwakvE8SWngi+k06XT03Txfuz5kkY671i3sCOQRkcgV7ZTZYop4mgnjV0dSro4yGB6gjuK/Qq9N1qMqadrpq/a63PxnLMZHL8yoYqUFNU5xk4vaXLJPlfk7WZ+BH/BCr4xa14W0zx/4K8TftK6l4I8MRyWl7YWcPii306Ka/k3pK4EwJdvLijB28AKue1ftD+yp4z1Hxv4dudZg8YN4g0l4oRZax9tW5W4YAqzLKnyvnaNxXjPpmui+B37OHwK/Zq8HS/D/wCBHwv0rwxo0+oS302n6ZBtR7iQKHkOSSSQqjrwFAGAAK7VESNdiKFA6ADFfL5Rw5i8vrU6lTEuSjf3NeXVNd/PsfbeI3GmB404nxeZYbDeyjVcbXtze7GKvK2l3y3er33YtFFFfWn52fJ3/BcDxB8UPDX/AATE+J+ofCiW8jvZLC2t9SlsE3SJpst1FHedOQhgaQOR0QseBk186f8ABrdqvxFu/wBkrx5pWvRXH/CNWnjhT4dklgAQzPbIbpUbqwBEBI6AsfU1+gn7TWnWOsfs4+PtI1S1We1u/BupwXMD/dkje1kVlPsQSPxrgP8Agn78L/h58GvhXr/w6+FnhGz0PQ7DxfL9k02xUiOMvZ2bsfmJJJZmJJJPNfOV6LfFFGpzP+HLTpo//tvwR+l4Hi/CYbwqxfDjwydSpiIVFU00SitO91y2XTlnLbr7vXx5+254zg0L9p17P4meLZdJ8LW/wbvLrR2uJEhtmnN241OVXbG+aKBLA4Odqyk4+Y19h18uf8FMvg58LfjPo3hbSvir4GsdetdKh1bUdPt79WKQ3UdvHslwCMkZPBypzyDV8U03UyOrZ2tZ/itD5bhfE4LD5sli4t05Jxbik5K63jeyvpbdaNnwl/wXw8Y/tEXf/BNz9m238Zf2rFbazZW8/wAQBPZiHdqy6dbtbpcBQPLfLXjeXwNyHjKDH3t/wRt1X4iaz/wTJ+EF78T4rhdSXwyYbb7VCI3NhHcSx2LYHVTaLAVbqykHvWv+2v8AC74ffGr9nvwn8Pfit4Uttc0S/wDEGnteadeFgkpS1mdSShB4ZQeD2r0b9lqxstL/AGcfBGl6baRwW1r4Ys4baCFAqRRpEqqigdAAAAPQVhgsPKlxJVbm3+6hv62/9tv82fYZ7xrgs18NsJkdPCKnOniatVzVrWlzNRXX7fK+nLThvsu9rnfizBpk/wAO9VGrNiJbYsrBQSJARsxnvux+ddFXjH7YXxIvPDvg2Xw/4btGu9T2LJBaL0muHby7aLODjdMyZOOBzyK9LO8TDDZXVcle65Uu7lokfnGBpyq4qKWlne/ZLU439iXXfDXjL41/ELV3jJ1LR7az0rSnljjw1ksk32iSFg5Zg14kkUgKrg2sXXrX0zXzL4Q+D91+zh8YvAdp4euvOgs9NbTNXnmkjVr23ulVp5S3ljL/AG2KObA2fKz9yFP01XHw1JU8veFkrTpNxkvndP5pm2ZrmxHtU7qaTX+XyIdQa5SwneyXMwhYwjHVsHH61/Od/wAEzvjF8YtI/wCCkXiLXfix8ZNW8H6pr66yPiLq0+qw6fO1wHaRopXmGEP2tYxsHORtHGa/o3r5P/Ze+DPwq8G/to+NPiR4X8B2Flr3imXxM3iHVY0JlvjHrEATeWJAwD0UAHqc1y8S4OpjMRhIwqODcmrrpdXvuu1vmffcCcZ4Lhrh3OsDXwqqvF0oxi3b3Wm1rfp73MrfahH1XjnhnT/hRbftDfDr4ufBPxpb+JviBrvxOtbLVPFFrq8Op6jqlg1rs1C3uZUJzbxWMavsACxGGFgAzZb9E6+UbT4M/Cq0/wCCk03xutvAlgni2fXP7Nl14IfPNoPDYYRddoGQOQAeMZxX1dWnC+HnhqGIhKbk1Vkrvra2vXfqfMcS5lTx9PBxi5PkpJNy3V23yR1fuQ2jt1do3so7y1tL60lstQto5oJo2SeGZAyOhGCrA8EEZBBrzn9lr4Z/sr/Db4TQ+Hf2RtI8Kw+Dmv7iaE+FLyO6tHuS+Jm81HcM4Zdp+YkbQvAAA4n/AIKpeIPih4W/4J3fFzXvg3JeJr9v4QnMEunx7porcsq3UidwVtzM24crjcOQK/JP/ghb8Zda8N+C/H3gjxb+05qXgnw1a31ndaNYReK7bT4pLyVZFuXUTAljsit844GB3NVnGfYfKMdThUpOV4t3VrrXZX9Ndex9NkHA+Lzjw5zDPaeL5IUatOLpXdp7Lmava69p7mj059j961VUUIigAdABS15b+y34w1Lxt4ZudbHiptc0yUQtp+rfa1uEuPlIZkkX5XBwpJXjJNepV7GXY2GY4OOIjFpSvo99G1+h+cYmg8NWdNu9gr45/wCC9Wv/ABO8Pf8ABMPx9P8ADB7xGuXsrXXpbKPc66XLcolyCeqoykI5H8DMDwTX2NXnn7Wei6V4k/Zm8d+HdesUurHUPC95bXtrLnbNDJGUdDjnBUkfjRmNN1cvqwTteMtfketwvmlPJOJMHmFSmqkaNWE3F/aUZJ2/DTzPhz/g2C1X4iXn7D3ibTvE0U40Cz8ezr4YkmgCqVa3ha4CN1dRKSe4DMwz1A/SavEP2Bvhv4D+EXwf1T4dfDLwtaaLoemeKrpLDTLJSI4Q0UDtjJJJLMxJJJJJr2+uXIYuOTUFe/up/fr+Gx6PHud0OJOMsdmdGn7ONWo5KOmi2u7aczteX95vVn4if8HRHjH4v6Z+1P8ADHTU1HUbTwzp/hJtQ8OSw5jjXVftji5kRxyZVRLP3UFSMbjn6S8E6t8GP2jfhb4L0z9pv9oCz+IGotodrqGpeFvFXjGyurWPUTYkXEptUKjfGslxjORGCzDBUMPt39or4Y/spfEa+8GTftO6N4UurjS/FME3gc+J7uOFv7WP+qS3DuvmyttH7obt+0ZU4GON/wCCg3wd+F3xo+GXhrwF8VfA9jrmj3HjOKWbT7xWCO6WN6yE7CDwwB618xnmRYi+KxixDUWr8qvrZbPVfLR6H29Tj3BY/hvI8nWGlRlhXUTrRS5nzy3p6xu7azvKN5dTT/4Jz3et3n7FHw/bWpLp44tJkg0aW9gEckukx3MsenOQODusltmDfxAhjya9rrjP2cbe3s/2fPA1paQJFFD4Q01Ioo1Cqii1jAUAcAADGK7OvtcHD2eDpxve0Ur/ACPynNcVHHZpXxMY8qnOUrduaTdum17BXkP7T3gRvHGpaLpn9nOftkFxp4vIATJGszRl1HUDhA3I/gPYGvXqKyzLArMcHLDuXKm1r6NP9Dnw1d4asqiV7X/FWCiiiu4wP5zv2D/jV8dtE/4Ko+I9X+Kvxk1rwdqfiDU9bh+JGoyarFp8m5DLJ5MrTfJHtuY4lCgZGAq4GRX7C/stx+EfiP8AEOx8ReFfik/jA6Zqkl7qWtLrcOoSNN9keBEmli+UYR1AXg4A/H3Xwd+zb8CPh/8AFXxN8cPBnwt0nTvFnjIRDxNrtvBia/EYwm/JwOgJ2gbiAWyRmu1jiiiBEUSqD1Crivi8HwpiaFeFSpiW4xnzcutnZ3XXd9dD9T8RvELAca5rDF4XBqilQhSe28U77LZN8sdfhjG6WydRRRX2h+WBRRRQAUUUUAYnxJ0sa38Ptb0ZtPW7W70qeF7VgcSq0ZUrxzyCelcv+zX4ZfQPBF7qEglDaxq73pWUYx+5ihGOOhEIPPqe2K9DorhngVPMYYvm+GLjb1ad/wADdV3HDOjbdp39Ar49/bb8Z2+hftPtZfEzxZLpXhe3+Dd5daO1zIkVs8xu3GpyqzY3zRQJYfKc7UlJx8xr7CrivjT+zl8DP2i7TRrD44fDHSvE0Ph7WI9V0aPVIS4tbuMELIuCM8E5U5Vu4OBWGdZfUzTL5YeEuVu2vTR31PV4fx+By/MOfGRbpuLi+VJyV+seayvfR6rRs+H/ANmX4v6P8Qfht8P5vHv7VF14n8UXOg2VxN4d1PxfZzN9va2G/FrEAwlXc42D7uSMcV96/CjwwPBfwz0HwoGkP9n6VBCfOxvyEHXAHNbq2tsjb1t0DDoQgzT65coySrltedarXdRySWq2S16tmOaZnTzCo5U6SppycrLZX6LRaLYK5zUfhtpeo/EC08fy3TiW2h2m3CDa7DIVs9RgE8ew9Dno6K9ivhqGJUVVjezUl6rZnmU6tSk24u11b5M5zxh8N9L8Ya/pev3l08babLuaNVBEyghgpPb5gOfQke46OiiilhqFGrOpCNpTabfeysvwCVWpOKjJ6LYh1JrtNOnewXdOIXMK46vg4/XFflz4X+OTaNYfA/8Atr9o/UfDOua3Z6zJ4/vH1u1sbt5vIaS+W6aUHyXXVFjTYADuDJj5SB+plcR4D/Zt+BHww+I3ir4t+APhbpOleJPG08c3irWLW3xNqMibtrOSSAcsxO0DcTk5PNePneT181nRdKq6fI3qr31W6s1r032bPpMizjLctwOJpYmjzymlyaK1+WcbSb1SXPzppP3oRVteaPiX7KUfhT4hfEGy8WeFfiY3i4aXfz3eoa4usw37y3Bs2tgk0sXy5EciALwcIvvn6kpscUUQ2xRqo9FGKdXVlGWSyvDSpSqObcnJt73dvN9u54eMxSxdVSUeVJWsR3dpa39rLYX1tHNBPG0c0MqBkkQjBVgeCCDgg1x/wQ/Z2+CH7NvgVPhn8C/hppfhrQku5boabp0JCGaQgvISxJJOAMk9FAHAArtKK9Nwg5qTWq69dTOOJxMMPKhGbUJNNxu+VuN7NrZtXdm9ru24iqqKERQAOgApaKKowCuf+K+lDXPhtrejtpy3a3OnSo1swJ8wEcjA5Jx0966Cisq9L21GVO9uZNX9VYqEuSal2OA/Zx8MN4d8AzXcnmhtW1SW+ZZRjG5UQY4HBEYPPr6Yrv6KKywWGWDwdOgnfkSV+9kXXqutWlUatd3PxE/4OiPGPxf0z9qf4Y6amo6jaeGdP8JNqHhyWHMca6r9scXMiOOTKqJZ+6gqRjcc/Wf7P3xa0v4jeD/BLeOv2o7jxZ4tutCtLm58P3/jCzumXUnsx55S2hAbzF3zDAztBbjjj7T+MH7OXwN+P914evPjP8MdK8Ry+E9ZTVfDr6lCXNjdpgiRcEZ6DKnKnaMg4FdktrbI29LdAR0IQZr5jG8L4nG42tVWJcY1LaK7vpaz1Ssum+h+m5x4g4DMeDMpyang1Gpg1U5p6e9zyuuXS6vvO+8tUY/w18OL4P8Ah3oPhNGkI0zRra1BlxuPlxKnOABnituiivrqcFTgororH5dJ80mwoooqxBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXjfx2/b2/Zi/Zv+O/gP9nD4teOZ7DxV8RrgReH7aHS55oY98yW8L3U0alLVJbiRII2lKiSVggya9kr8zv+CqvwT+N/jH9v7w7pngT4PeKNesfin4c8BaJpfiXR9Jeew8P3Gg+OU1u/kvpl+W0T7ExkjZ8CR4ii5bAoA/TGiiigAry7wB+2J8DfiZ+0742/ZD8IazqE/jT4faVZah4mtpdInitoobrPleXO6hJjx8wQnaeCcggeo18XeB/itHd/8F0vG/hxfhZ8QYrST4G6PoEXim58CX8ehy39tfX+oSxpqJj+zuBBeQAENgyb4x8yEUAfaNFFFADJ54rWB7m4kCxxoWdj0AAyTXkP7I37dn7O37btn4nuPgPr2rTT+D9WjsNf07XvD11pl3btLEJrebybqNHMM0TCSKQDa68ivXriZbe3e4dGYRoWKouSQBnAA6n2r4h/4I3fE7UP2h/E3x0/ak+Ivwt8f+EPHXj3xxbTaroPjXwJfaNFpejWkUtno9lbyXUSLeuttA888seQst4V4AXIB9w0UUUAcz8ZPi14R+BPwv1r4u+OxqDaToNkbm7i0jS5r67lGQqxw28CtJNIzMqqiKWZmAArH/Zj/aW+Ev7XvwT0f9oD4I6xdXvh3WzcJbNf6fLaXEM0E8lvPBNBKqvFLHNFJGyMAQyGo/2r/Feh+C/2b/GeveKPDPjXV9LGhTW+p2Xw4t55dd+zT4gllsltmWbzo0kaVTCfNXy8plgAfFf+CKXgbx98OP8AgnR4N8KePvB2vaCY9X16fQNO8WWX2fWBo82sXk2nyaghAYXj2rwySlxvLuS/zFqAPqyiiigDzj9rX9q/4J/sR/ADXv2mP2hvEkuleE/DiwHUbq3tHuJS008cESRxIC0jtJIihQM856CvQrK7g1Czhv7YkxzxLJGSMEqwyP0Nfn//AMHGPwY/ak+Nn7GA0X9nz4E/8LE0rS7TWr/xRoFtrAtrtJP7Knt7K6ghEUr3zwyXEky2qKGkkjiwylefub4VXXii++F/hu98b+Gk0XWptBs31fR4r0XK2N0YUMsAmCqJQj7l3hV3bc4GcUAb9FFFAHjvxM/bg+Dvws/ah8Mfsh6x4f8AGeo+L/FWmwahat4e8GXt/YWFrNcS28c17dQo0dnGZIZBulKj5etexV8A/wDBQ7wl4x/4eW/Anxx+z54U+NMPxHl1zw/Yarrnh2CceDLjwfHqF5Lq9vqkifuTKkMsjIk3zb5IDFk78ff1ABRRRQB5N4L/AG1/gD8Qv2o/Ev7IHhDXNTvfGHhGxWfXni0G5/s23kKQyNafbtn2drpYriCRoA+9UlViOuPWa/MX9hn4MftS/B//AILW/F2KWx+J1v4R1/xJ4t8QeK5dVM//AAiF5YXq6NJoUlhu/ctfiQajHMU/eBIdr/KI6/TqgAqvq+pw6LpN1rFzDPJHaW7zSR20LSSMqqWIRFBLsccKOSeBViigDxH9jf8Ab8+Bn7ccvi6y+EOi+NNLvvA9/a2fiTSvHHgu80S7tZbiEzwgw3aI53R4fp0ZT0YZ9ur5h/4JdeDPF3/CD/FL9of4ieFtT0jW/i58a/EPiAWOtWMltdw6XbzrpWmJJHKA6A2OnW8iggcS5HBFfT1ABXE/tG/tC/C79lT4La78fvjNq9xZeHPD0Ecl9LZ2Ml1O7SSpDFFFDEGeWWSWSONEUEszqB1rtq+ZP+CxfhLxp45/4Jz/ABC8L+B/Bes+IJrhtJbU9L8N2TXGqNpaatZyahJYxqCxvI7RbiSEp84ljQp8wWgD2H9mz9oz4WftZfBbRfj58GNWurzw9rqzi1a/0+W0uIZYZ5LeeCaCVVeGWOaKSN0YAqyEV3VfL/8AwRu8JeL/AAR/wTz8F+HfF/grXfD4j1PXZdE07xXZNb6v/ZMus3sunzagjgOLyW0eCWYyfvGkkZn+YtX1BQAV47+2J+3j+zT+wh4c0HxR+0j4yutKtvEerNYaYthpM97IdkTTT3DpAjNHbwRK0kszAJGgyxGRXsVfnj/wcQ/ATx58Yv2f/DN98F0+IJ8eMmv+FvDkPgfwKNdhv49c0uSxuLG+y6/2fBMuwfbzlYNhJGWWgD9C7e4gu7dLu1mSSKVA8ckbAq6kZBBHUEU+sD4VeFr7wN8L/DfgnVLlZrnR9As7G4mU5EkkUCRswJ9SpNb9AH//2Q==", 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", "info": {"equation": "13+10*6=73", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "13+10*6=73", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "d0c8f15ce702ffd2118429bad1612d9249d2d8c804e709156d0226ae38f61969"} +{"episode": 937, "episode_seed": 3139936973, "split": "train", "timestamp": "2025-10-28T03:42:50.057695", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3139936973, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 8, 3, 4])", "action": "('move', [2, 8, 3, 4])", "reward": 0.0, "image": 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", 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", "info": {"equation": "30/6=5", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "30/6=5", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "4d4ea287fffd0a8a5ab4b601744af2c32c2ab91643069aed64affef91b1e4027"} +{"episode": 938, "episode_seed": 258878324, "split": "train", "timestamp": "2025-10-28T03:42:50.094908", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 258878324, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 0, 3, 8])", "action": "('move', [2, 0, 3, 8])", "reward": 0.0, "image": 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/AAU8deLfgL8D9B8L6l4lvdMfWrvS7Yq1xjU4XCjJIjTc7HYm1enHAx0H7JUcbfF3x+7RqSNK0TBI5HzahX5euHcTh8zpYJ17OUZO6vouy1W9tdtz9g8TfEbLePc2/tXCYT2cIRhC0rc0mm3zStdac3LHfRJ6XsvYvhzda9e+CdPufEyuL14czeYuGPJ2lh2JGCR61t0UV+oUKTo0I03JvlSV3u7Ld+bPxKpJTm5WtdhRRRWpB5N+3d4g+MnhT9jf4k+JP2fIrxvGll4RvJfD39nW4luFnCH5okOdzhdxUYJyBgE4Ffz4f8Ed/FXxts/+Cmvww1X4VPf3uqal4pSHxJIkP2h5dKlf/iYySl8/KIDI5cnIKgg5xn+mivz/AP2K/wBnT4GfDP48/D74reAvhhpml+JPEl7qba5rNujme7L2N7I+SzEKGfDEKACQOOBj4ziTDSqZtgp87V5W9NU7rz6H7Z4b+ImX8KcHZxldfBqrPEQ92WltYuPLO+rjG/NFLq2tL3X6AUUUV9mfiYVxfxw8aHwv4UbTrKXbealmGLHVUx87deODgH1IrrdS1G00nT59Uv5QkNvE0krnsoGTXyl+0BrHiT9oDx7pnwj8Iy3dtJ4zu209r2Fgkml6LEA9/chjG4V/KYxx5H+uuoucAkfO8RY+dDDLC0H+9q+7Fdk93/XX0PRy7DxqVXVn8ENX/kdH+xJ4Ht/H/iXWP2qdXtkkt7lZND8AeZEh8rTYpP8ASbxGV2/4+rhTg4UmG1gOPmOfpGqfh3w/o3hPw/Y+FvDunxWmn6bZxWtjaQRhUhhjQIiKo4ACgAAelXK9XLsFSy7BQw8Nor731fzZy4mvLE1nUl1Ciiiu0wP5hv8Agrb4y+O/ib/gov8AE65+OtxqSarpfiq5s9BhvovL+z6RHMx08QqOBGYDHICPvGRnOWYmv1G+CPxy074mfs0eGR+0F+3Pqg1vXvCUA8XabL8SLK0JlmhxNGyx7WiyGIIUqy54IIr7m+KP7Gn7LXxq+K+hfHL4rfA/Qdd8W+GvK/sTXL+2LTW3lSGWMcEBwkhLKHDAEnGM11XxXtLUfC/xK4tY8jQLw58sf88Hr4Z8J41YitVjinFSbel7ta/Fqu/mfuPG/ixlfFXDuVZdh8AqU8JFJy00aSjanZXUXbmd7O9l0u/gv4DeA/hL8Iv28vg7afsieGtH0uXWtB1O38c2fhK0he3n8LJZGS2uropnaBfLZrFOTulMkg3Pg7f0Xr4h/wCCc37OXwL+AXxm0ef4NfC/S/D0mufDC7m1eWxRy906z6SVLM7McAu5ABABYnHNfb1d3BtNwyVO97yk/TpZfdf5n5/xtmdHMszpqnKU/Z01FznZTm+aU+aSUpbc3JH3pe7GOvRFc78W/C/wx8a/DDX/AAt8adO0q78JXmkzp4jh1tlW0+x7CZWlZyAiqoLFyRt27sjGa6Kvzj/4OZPF3xy8N/sTaLpnw2n1GDwvq3ihbbx7PYR/KbfZut4pnHKRPMBnszBFJ5APu5lio4LAVK8o8yitu/8AwO/kc3BOQ1uJ+LMHldKt7GVWaSn/AC21utve091XV5WV1ufaH7Kfwx/ZR+Gvwhg0D9j/AEjwpF4Mlvp7iF/Cd5Hd2k1yWCyuZkd/MfKhSSxICBeAoA9JjggiOYoUUnqVUCv58f8Aghr8bvHHhPxd4v8Ah3rn7R+qeCvAw0r+0BbxeJrfT4JNVaWGNWUzg5cwrJkJ1CLu6LX6pfB/4zDxBdN4f+HX7R1141vI7hbgxDxPBqM0WcIARByIz6MMZJr5PD8aYKOHjH2Ek9FaKVvl+mnkfU+InAeN4Y4vxOBq4v27TUvaSb53zJS9+9/e111ffrY+v6KZAZmgRrhQJCg8wL0Bxzin19yndXPy4K/lK+PfxU/abb9sfXvit8V9a1ez+Kmn+M/tN1c3kYjubHUbeYeUqocqgiMcaoo+QKigfKBX9WteJa/8Df2B9S/bD074n+I/DfgF/jatosunPc6hCNZkiSB0WZbYybpCsKuBJsJCpwQEGPneIcnq5tCkoVeTll163/VdPV6n7J4P+IuC8Pq+YTxGBeJ9tSsrJXjy3dpX2pSv+8evwxdmfKl74/8Ag/8AFH4XQeDfjj+2hNrVlquk26eJ9A1L4m2a212xRGmgmEJQmMuGVkDAMuVOQSD0n7GPhXwd8L/+Cil74O/Zr8P2Gl+H9T+Gj3PxS0rw7YQpYWt7FcRLo8knljEFxJFJfYQbd8aBypzvP0/+2v4f0TW/2R/iNouraVBPaXnhG9guoHjG2SN4irKcdipI/GvKP+Ce3wH+Dn7PfxT8eeDvgn8O9O8N6Zc+H9Furm105GxLMbnVF3szszMdqqBk8AcYr5+GVYjA8SYWFTESqNqTu730T01b0fU+cwXEGHhw/jY8slzpxVJW9ledk5y1+KFk4JQfvRi3Jctn9WUUUV+hn58fhL/wc8+Lvjjdftd+GvBPiqfUY/Adr4WjuvCVu0e20mumZlvJFI4klBEStnlVK8ANlvS/+CSn7RXinVP2PrCx+NP7Z+s+H20nVptO8M6XN44s7Mw6VFFCsSrHKC+wP5yqW/hUAfKFr9UP2hv2WP2ev2r/AAxZ+Df2ifhRpXivTdOvftdjb6kjZt5tjIXRkKsuVYggHB4yDgY6/wAPeEvC/hLQLHwr4Y8P2dhpumWcVpp9ja26pFbQRqEjjRQMKqqAAB0Ar4zE8MY2vmdXEwxLgpdr39HqtF0P2vNfFTKsw8McBwxHAJVaErub5eXS/vR0b553vNu2t976fLX7P3hjwd8Tda0G48EeMRr1hp3iP+1brWrLU47z7RdJI80jTTJlSzyOS2MHLcYr61pscccS7Yo1UeijFOr28lyn+yMPKm6jm5Scm2rb28327n5BjcX9cqKXLZJWsFFFFewcZyXxz0BPE/wt1TRZNHW/SRYna2YMc7JUcMAvJKlQw91rkf2XvA7aTdeIPH8vnhtbWztlWQAIUt/OIZeMnJnYE5I+UY6GvW6AAOAK8qrlcaub08c5v3YuNumt9b/P8jqjinHCSoW3d7hRRRXqnKFFFFACOXCExgFsfKD6188/BX4UJH8WNIuY9Im06HwlLdTR2sKERRtJBLAIzuBOMTMw5ycA8jNfQ9GB6V5WPyuOOxVCs5teyd7d9vu2OrD4p0KVSCV+ZW9Aooor1TlKutaTaa9pFzot8pMN1C0cmOoBGMj3rA+Gvws074crdSQ6i93PdEAyyRhdqAnCgDPrye59K6miuWpgsLVxUMRON5xuk+1zWNerGk6afuvdBRRRXUZBRRRQAVn+LLJtS8Lalpy2aXJuLCaMW8udsu5CNpxzg5x+NaFFTOPPBxva407NM8I/Zp+HAsviCPGC2dxbR6N4fn0e3gZNsYEsts5U5Gdyi1QYzwGORyK93oorzsoy2OU4GOGUua19dt3fY6MZiXi67qNWCsb4hfD3wT8WPA+q/DX4keGLTWtB1uye01XS7+LfFcwuMMrD9QRgggEEEA1s0V6UoqSaaumY06lSjUVSm2pJ3TWjTWzT6NHE/Av9nH4G/sz+A1+GPwI+GWl+GdCW7kujp2nQna88mN8jMxLOxCqMkk4VR0AA7OOCCI5ihRSepVQKfRShCFOCjBWS6LYvE4nEYyvKviJuc5O7lJttt9W3q35sKKKKoxCv5UPjb8Y/2qtO/bQ174w/EXxRrul/FnTvGDzXV9L+4vLG/ik2Iir0RUCqioPkCAKMrX9V9eZat+xp+y3r37QVr+1VrHwP0G4+IVmirb+KZbYm4XbEYlYjO1nWM7Q5UsAFwRtGPnuIMmr5xCkqdTk5Hfr9+nVdPV6o/YPCPxKy3w5r46eMwft1XpqK2umr+67/APLud/ftd+7H3WfIej/GP4d+I/BVhYfEz9tybUmu9LgGvaPqXxGsGt7iRo1M0MiJjKFtwKgjjjNfU/7L/g022u698SXabOq2FlYx7gPLdIJLmTevGTk3JBOSPlHoa9e+xWf/AD6Rf9+xUgAHAFc+A4brYTMIYqtiZVHFOya7q27kz82xeaQxFGVOFJQUnfTbe+1gooor6k8gKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiioNVtJdQ0y5sIbloXngeNJk6xllIDD3Gc0AfPH7O//BV39iL9qX9oTU/2Zfg38Tru+8S2C3zWMl1oV1bWGtrZTeTeHTruVBDeiCQ7ZPKZtvJ5AJr6Or8VP+CVv7N/7TNh+0T+yF+zx4x/Zv8AHHhS8/ZJsviRH8UPF2t+H5bbSL9tVuZlsV068b5L8XAlWVvLJ2gHd0r9q6ACiiigArw39tn/AIKJ/swf8E/NK8Oat+0l4i1eyTxVqf2HSI9H8PXN+xffFGXkMKMsMYeaFd7lQWkUDJOK9yr8+/8Ag4/8W6tL+wbF8FPB/wAI/H/i7xB4r8XaNeabbeB/A19rCww6dq1jdXJuHtY3Fv8AugxTfjzCrBc4OAD9A1YMoYdCMilrmvg78TdF+M3wv0P4p+HNF1vTbHXdPS6tbHxJos2nX8CN0We2nVZIX45RwCK6WgAooooAoeKvE+h+CfC+peM/E9+LXTNIsJr3UbpkZhDBEhkkfCgk4VScAE8cCvD/ANkD/gpl+yl+29448SfDD4K694gtvE3hWzgvtV8O+LvCV9o179hnOIbyOG8ijaSB+MSAY+ZfUZ9q8c+KYPA3gnWPG11pF/qEWj6VcX0lhpVo091crFG0hihiXmSRgu1UHLMQB1r85f8AgjN8UdY/ar/bL+LH7a37Rnwb+Jvg/wCLPjPQE03R/DXij4ZanpOleFfCVldgWunpfXUKRXt7LJKLiUqe5CKFRqAP0vooooAKKKKAPnf9s3/gqL+yZ+wTr1lof7RereKbNLizivL/AFXRvBOoajYaPayz+RHPfXVvC0VojSAqvmMCdpwK+gdN1Kw1nTrfV9Lu0ntbqBJraeM5WSNgGVge4IINfmV/wcX2Fx8c/hdF+zf4H+BX7QevfEiKyt7/AOGUvw90W7uPCesX819Bm21jYTaSpD9lRyl6oVVlJjJ3NX6SfD2LxPB4A0ODxrb2sWspo9surxWSgQpdCJfNWMDgIH3AY7YoA2KKKKACgkKCzEAAck0V4n/wUb8IftLfEL9iP4i/D/8AZCihf4ha9oDadofnaoliVWeRIrhkuHBWCUW7TFJCDtfacHGKAF/Y1/4KC/sv/t8xeN7v9mHxrca7a/D/AMWTeHdfvX06SGFryMZJgdwBNGRyJF4III617XX5lf8ABvr8LP2kvgn8W/2mfAfxW/Yl/wCFQeF5PHuny+HrVfEZvreNodMtrUWlrJ9mhF7CsUSObxPlZ2ZNu5ST+mtABRRRQAV85/Er/gqB+zr8M/2qpv2OLnwh8Std8ZWb6UNVPhL4balqthpi6iSLWS6uraJorZGAcl5CABG5Jwpx9GV+S3/BVDwB8QtK/btfx/8AsKeBP2mdL/aJ17xf4Qgh1vQbW7j8AatotsFE5v5Yv9Ekhjglukdbk+Ysmdg2tkgH600UUUAFFFFAHIfHz49fCX9mD4O6/wDHz46+NLXw94T8MWBu9Z1a7yUhjyFAAUFnZmZUVVBZmYAAkiuf/ZS/a4+E37ZHw8n+JHwks/Etna2l+bO8sPF3hS80a+gk8tJFLW93Gkmxo5EdXAKsGBBr53/4OCf2dvjF+0x/wTL8T+CfgdoOsatreleI9D12TSPDo3aheWllqEM862y/xzrGrSIn8TRgAEkCqP8AwQ2t/wBoOP4dfFi5+Ik/xYb4bz/E6ZvgoPjg903iUaN9mi803H2z/SREbnzfLEvzYDY+XFAH3LRRRQB//9k=", 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", 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", "info": {"equation": "5+1*4=9", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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"info": {"equation": "5+1*4=9", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "19249e4518292dff7d77bece41fd0fbf112429c8cb83fb1bfb065c29779f1378"} +{"episode": 939, "episode_seed": 2006195228, "split": "train", "timestamp": "2025-10-28T03:42:50.141793", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2006195228, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [5, 4, 4, 8])", "action": "('move', [5, 4, 4, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "0+10*9=90", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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jzwDYarrHhTwra3Phy/vEZmsJjfTEugB2k5RCNwOCoIwa9N/4KF/Cz4d/Gj4UeHvh38VPCVrrmh33jS3N3pt4WEcpS1u3UkoQeGUHg9q/P8RhJ+zzVc73T/8Abrfd7vofsXC3GeTcP8Q5Nmf1Xn9l/EVo9Kaopw7tWdW8uX33bpzy84/4IPav8S9Y/wCCYPw7k+JkNwr26XlvobXMAjZ9MS5kW2IAxldgwrHqoU8jBP2DXmf7HOjaV4d/Zp8KeHtB06GzsbCyltrK0t0CxwQxzyKiKB0VVAAHoK9Mr7PLI8mXUY3vaMfyR+a8TZlTzniPGY+FNU41as5qK2ipSbt8rn5G/wDB1R4j+LFr4O+E/hXT5b1PBF7f6jPqoiT/AEeXU40iFsJGH8Qie4KqeuXIzjjP/wCCZnxZ8ZXn7EXhP4i/Fz4qXNnPpvxEt7aHxDf6pFC1vY29tDBbRNM/yqgiRIcNyVOO4Nfqj8df2ffgv+014Ak+F3x6+Hen+J9AluorltN1JGKCaMkpIpUhlYZIyCOGI6EivCrvQdE8O/tRQ+GtB0m3s9PsfHml29nZW8QSKGJNBgVEVRwFVQAAOgFfG8Q5NXeYxxSq2VSdOKWt09r/ACtdebe3X9EXH2AxnhrhOGY4RKrh51KkqmlpJ8zS73fPaV9LQjve0fcfgLquvax4G+265cyzhrp/sk8zFmkiwDnJ6jOcGu1oAAGAKK+2wOGlg8JCjKTk4q131PySvUVatKaVr9ArD+Jt34rsPht4hvvAduZdch0O7k0WJYw5e7ELmFdp4bLhRg8GtyiumS5otCpTVOrGbSdmnZ7Pyfkfz8f8G/XjD49ah/wVeF9LNqt3Nrula2/xLuLuAvI0ZVpmkuCwyjG+W2Bbg722/wARr+gevj39jn4J/Cb4e/tc6/8AEnwT4BsNN17xYviqXxHqturedfuuswkFyxIHLE4XAJOSOBX2FXzXCdF0cslFyb9+W/k7fpf1Z+meLfGOD444phmGGw/sYqjThbS7aTbbtppzcsf7sY7bLl/jdf8AjnSvgv4v1T4YWzzeJbbwvqEvh2GKESNJfLbSGBQrcMTIEGDwelfF37HfxAe8+MfwA0T4WeNbzWItR8E6pN4uDmOeWTTvsURe6vCctDL/AGnHboTwTK0yEZVgv3zXx3+w18EfhL8Nv2mtc8eeBfAFhpeteLNN8Q3PiTUrdG82/lGsWxDOWJxy7HC4GT0qc6oSnm+BmpNWk9Plf8bWfkz53I8xy/D5LjKNelzTs3B2Vm5RlD3m9Uoc3PC1/eVmteaP5P8A7dvjr9qV/wDgulqGrWyarJ4y0j4oafa+BLU2gZhZJNH9gSKM/K0bxMrejeY7NyzV/RJXx18fPgn8JfEX7eGnfG3XfANhd+LND1jwraaPrsysZrSF7wblTnaM+Y/OM/McGvsWnw9QdHFYy8m/3nX0v9+v4H0viPxrg+LctyehQwyovC4dU5NW956LS32Fy3inqnKXqyue+KtvpVx8PtUXWW2wrbFlYKCVcfcIB77sV0NeJ/tgfFRvDHhO40fRrCW+u7SITmyiHNzO2Ft7cHBOXkZR04yDXo55iqeEyupKSvzLlS7uWiX9dD83wNKVbFRS0s7t9kjzv9lHxD4W8aftca7b6jC5uvC/hprXw68kUZilmeWJtSeNt5bfGHsIj8i7d7jJ3ED6wr5OvPgdrf7ON78PtU0K6W61XQbpL/U7p3Qf2jJcbl1Zd5iAHmmaSVQAvzrFkqBkfWEciSossbBlYAqwOQRXn8Lv2GDlgpq1Sk7Nd76p/P8AQ6c0XPWVeLvGa0+W6Fr8NP8Ag6R8R/Fif9qjwH4T1uS9XwVB4KN14fiaPFs9+9zKt4yn+OQItoDnlQV6buf3Lryv9qP4Ufsf/FGy8Lxftc6J4Pu4LHxHE/hP/hLb2KBTqTA7I4TI6+a7gf6r5g+0ZU4GO/PcvnmeXSoRnyttO720fX+t7H2PhXxdh+COM6OaVsM68YxnHlik5Lmi1eN+q2f91yPhD4A+PvAPx3/Zc8BeGf2mv2o28SXmraHpkuu+DNd8b2Ztru6Uo8UE1om0uBIsZ8k8FlAZTyK+n/8Agl5p+neHfD3xP8GeALKK38B6R8SZovB8FnbolpAz2dtLqENsU4aJL97kcZCyGRBjbtX0f9uLwJ4O+IH7M2veCvGnhy21HStVvtKttRsZ1ISeJ9TtQyEqQcEehBqj+wN4D8G/DD4Ey/D74e+HLbSNE0nxLqEGnabZqRHBH5ucDJJOSSSSSSSSSSa+ey3LK+X8RxhUryqP2bd325rW3enX1ObH8QYfG5DilGDh7ardU1b2ULtS546/Hp7Ne6vcb953se11yPx48I/Bfx38INf8KftE2Wi3Hgm7sSPEUfiG4WKyECsH3SyOyhArKrBsjaVBBBArrq/OP/g5t8SfFjRf2FtE0vwPLex+HtU8a28HjJ7RMo0CxSSQJMw5WMzoh9C6oDzgH6rM8VHB5fUrSjzKKenf18u/kebwPkdXiTi7BZbSrexlVqRSns421vHb3tPd1XvW1R95/Bzwd8H/AAf8KvD/AIZ+B2laND4Ps9KhTw4miOktobTbmNonUkSKwO7fk7s7sknNdQqqoCqoAHQAV+Lf/BGr486xD+yK3h74n/tf6r4XtdG8SXFp4X0dvGtpYrFY7I5DtjlBcr58k2CeOoHAr9Wv2afFmseM/Dl3r1xrp1TTrlo5dO1ETiVJw6klo3HyshG0grxzxXh5VxPhcxxFPDQpSi2vLlVlfTy6LRdDr414WxPDXEGNwlWuqrpVJLnu7y13d/ta+8ruzvq9z0uvDv8AgpX4j+LHhH9gn4reJPge96niez8HXT6dLpse64iXAE0kY6h1hMjAjkFcjkCvcaSSNJUaKVAysCGVhkEehr6WvTdajKmna6av2utz5nK8ZHLszoYuVNTVOcZOL2lyyT5X5O1n5H88H/BC/wCKuueCfil428N6j8e73wP4YvfD8V1eSW3iC209bq/jnVIAXmBLERyXPyr9T0Fff2l+GPgtpfx7+F3xd+BGuWPiD4h6x8XbaK68VWWoQapqWrWs0fl6ulxOCS0MengsQMLCI4doXd832b+yn8JP2Pfhf4N1fTf2PdA8HW2h3OvzS6z/AMIjeRXMP9ohEWRJHR3CuqhB5eRtBGFGa8P8IfBD4RaV/wAFFbj46ad8PtOi8Yah42vLC88QKjefJbLoLgR8naowiDIAJ2jJr86nkGIy/wCqOWIck6kUkr8qu27rX9FufsnFPiHguI+M8fmtPDzoRlSa5LLmqNQUeWtqlyveXxaJRtrzL7Fooor9KPww/N/4A/E3x3cv8FmTxbf3PxH1b4vTp4002aOJrsz770a3DcQnmGK3ikfGAPLVbbH303fDf/BxB4u+Oj/8FPxYajNqiWWi6LpL/DiNYDtCNGkjyQAD94xvRMpbBJaML0VRX6ffDn4I/CbRP+Cg918ctL8A2EHi/V/Gmq2WpeIFVjcT266XKFjOSQoxHH90DO0ZzSf8FFPgn8Jvif8AF3S/GPxB8BWGr6n4U8Gvd+HLy8VmawnN0T5iAEKTlEPzA4KgivzGpg5x4fxEfaP3a/32aj+N7+qR++8I+IOR8McbwzOOC54ToVE42inGdR89o9OSNvZp6NwlJ8qvyH1R8KrzxfqHwv8ADeofEG3aHX59As5NcieMIUvGgQzKVHCkSFhgcCt+iiv02K5YpH4NVmqtWU0krtuy2V+i8kfnl+2P8T5/DHj/APaWv/iT8QbvRrzRvDdkPCHnvFG1tph0oNaz2aPxKX1OS8Tdg7pUWPnAWtL4X/FPwl40tvDMHin9qyXxXr7WkEv9g3/jezux9va3xIUgiwS67pQAM4BPFfX/AMSf2Yf2f/jB8R/C3xe+J3wn0jWvEvgqczeFtYvYC02nyFlfchBwcMqsu4HawyMHmu4W1tUbeltGCOhCCvi8Rwpi8Riq9T604xqNuyTd0+j1W2y30PscdxHlVXA4eFDD/vIxjztqKScYRguRq7alyucm0nzStZ25pc38FvCR8D/C3RvDLGXdBbF2E+N4aR2kIOAMYLkY9q6iiivsKFJUKMaa+ykvuVj4ycnObl3CvFtX+H7ax+03DqTabJb+TqcWqyTQqcTmO08hWYnI6BU4x9we9e00VyZhgFj/AGV5W5Jxn626G2HxDw/NZX5k194UUUV6BzhRRRQB4v8ABf4fmw+NmqeI20ySzGnQ6hCIY1Ii33d1FM5y3JJMe4YPRye4r2iiivPyzALLcN7FS5tW7vzdzoxWIeJq87VtEvuOX+N1/wCOdK+C/i/VPhhbPN4ltvC+oS+HYYoRI0l8ttIYFCtwxMgQYPB6V+b1n8b/AAt4bufgDY+FP2mb7QItX8NX7+INTXxBa21zdWf2FGklupZsmOU6jHCrDgmXzlI+Rgv6k1wPws/Zb/Z5+CXjLxT8QvhR8I9G0LWvG199s8U6jY22JNRn3yPvfJIHzyyNhcAlycZrzc7yXEZrXozp1nT5L7Xvr1Wq16b7H0eRZ3lmXZbiKOJo885XcNI2bcZQtNvVKPNzwsn7ys0r80fn34CR+Dfiz41tG8LfF2TxpPb67Y3uqasuvwajPGLaVZoo5Hi+VE/dkAEAnc2Dk8fYFNjhhhz5USrnrtXFOrqybKpZVSnGVV1HJ3bfol3f5ngYzFrFzi1HlSVrBXMXvwu0m9+IkPxCku38yJButtg2tIF2q+evA7eoH0PT0V6GIwuHxSiqsb8rUl5NbM56dWpSbcHa6t8mc18Rvhpp3xGgtIr2/kt2tJiweNAxZGxuXnpnA57ehrooIYraBLeFdqRoFRR2AGBT6KcMLh6VedaMbSna7722CVWpKmoN6Lb5hX4bf8HRnij4uj9qzwD4Z1O6v4vBtr4M+2eHFClYG1FrmVbt1YfekVEtAe6grjG7n9ya4T44/sx/AH9pa30W0+PPwp0jxTH4d1RdR0VNVgLi1uQMb1wRkEYypyrYGQcCuDO8uqZpl8sPCXK20/LR9f63PvvC/jLB8B8YUs3xVD2sIxnFpW5lzRavG+l+j/utnwb+yz8dbL4i/AH4f3vxw/bEu9X8R6jo2n3Gr+H9X8c2ZWa++R0R7dcPvEgjYJnO4DPORX3n+zt4Sbwn8OQsgmD6jqNzfukwwVMr5wBgcYAIz61232S1DbhbR5z12CpK4cqyGtl+MeIq4h1Hy8uq2V09232PmM3zenmdWpOnRjSU5uXLHZXb0SstFey8kFc/8VPhX8O/jd8PtU+FXxZ8I2eveHdatxDqmk36ForhAwYA4IIIZVYEEEFQQQRXQUV9HKMZxcZK6Z5FGtVw9WNWlJxlFppp2aa1TTWqaeqa2MH4dfC/4e/CXwNpXw0+G3hCx0fQdEsktNK0yzhAjt4VHCjOSfUkkkkkkkkmt1VVQFVQAOgApaKIxjFJJWSFVq1K9SVSpJylJttt3bb1bbe7fVhXh/8AwUr8R/Fjwj+wT8VvEnwPkvU8T2fg66k06bTY91xEuAJpIx1DrCZGBHIK5HIFe4UkkaSo0UqBlYEMrDII9DWdem61GVNO101ftdbnZleMjl2Z0MXKmpqnOMnF7S5ZJ8r8naz8j+eT/ghl8YPE/gz4keM/BmqftC6j4I8I3GiJfXCQeI7fT4p9RWaOOI5mBy3lNNkL1Cjd91a/Xj9law8KeP8Ax1pfi3wj8QD4oh0nUbm9vddi1aK+NxctayW5E00eVLBJl+UYICr2Bz7R8Cf2YP2ff2ZPD1/4U+Afwm0fwtp2qam+oX9rplvtWa5ZVUudxJ+6qgAcADgCu6jijiG2KNVHooxXx+A4UxOGnRlVxLahJS5bPlunfS7/AE7n6B4kce4HjTifE5nhML7KNVRir25naKjeVtLu3fZLsOooor7U/MD8qrj436toHwh+F+seKPjpf+HPHuq/FqSHxndy6lbWl7BeGe7GswTebkW8cMbuowBsUW4H313e8+AJvAnxq1q68LaB8epvHOpahbJa3EzeKLfUbmzti+DtEQxGmWJJYYz3r6f8Pfsu/s9+FPjhrX7Sfh34SaNaeOvEVktprXiaK3/0m7hAjG1jnAz5MWSAC2xck4ruo7eCI7ooUU+qqBXwtPg/FWcamKfK5Xsk7PW93ru/R69z7fPOJcrxtdVMFh+W/M22opqU224x5b+5D4Y7Nq7tG/Kn0UUV90fEBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAV4/wDtm/t1fs5fsEfD7T/iT+0d4ovrGx1bVDYaZa6Ro1xqF3cyrDJPKyQW6NIUighlmkfG1EjZiRXsFfA//Bbjw58S9A8RfBv9o/wf8FvFfj3SPB6+NdG1zQ/BeiSalfJNrfhm70+ym+zx5YxfaSkTv0jWfceAaAPunwr4o8PeOPC+m+NfCOsQajpOsWEN7peoWr7orm3lQSRyoe6sjKwPoav15F/wT/8AhN4z+A37C3wc+CfxFj2a/wCE/hhoWk63FvDeVd29hDFLHkcEK6sue+2vXaACuZ+M3xe8DfAL4Va/8Z/iXf3FtoPhvTZL7U5rSxluZREgyRHFErPI5OAqqCSSAK6auQ+P3xA0r4V/BPxT8Q9b0TWtStdJ0S4nnsPDmjTajfTgIRtgtoFaSZznhFBJoAi/Z2+Pnw5/ak+B3hf9of4RX11c+GfF+kRalok97ZvbyvBJ90vG/wAyHjoea7SvkX/ghTr2pXv/AAS1+FHg3xB8PvFvhjWPB/h+PQdc0nxl4XutJuku4FVnKRXKI0kX7wbZQNrEMAcg4+uqACkkkSKNpZGAVQSxPYUtJI4jjaRgSFBJAGSaAPEv2Sv+ChX7Mf7a/iPxb4O+BniLWH1bwVLbf23pfiDw3eaXcfZ7kOba8ijuo0aa2mEchjmUFW2nHbPt1fAX/BIf4s6h+09+1B8e/wBrD4r/AAg+I3g7xz4qvLHS9M0Hxj8PdQ0i00jwrp0tzDptvFc3MSR3dzM0lxdz+WSENwiDhMn79oAKKKKAPEbr/goV+zRp/wC2PZfsLalrOu2vjvU4pjpbXXhe8j0u+nhtVvJbSG/aMW8twluyytErllU84PFe3V+e3xn07xT8Tf8Aguj8HfFPwu+D/wAXI73wDb61ZfEPWvEulXH/AAhkehTaQ5gu9NlkLW4vZLuWGEvBtmKxyJINqiv0JoAKKKKAPLP2sP2y/gF+xV4T8O+Mv2gPFUumWnivxjYeF9BS2s3uJbvUrxysMSogJx8rMzdFVSTXqdfl9/wcH/BL9tj4k+JvAXxA+Bf7Ly/E3wp4Tl0ZrOG08TC1utK1yTxPpcr3H2VYJZLhWtrRLczDattFc3MrblVlr9O9OmvbjT4J9Rs1t7h4Vae3WXeInIBZQ2BuwcjOBnFAE1FFFAHmn7WH7V3wr/Y0+FA+MXxetteuNNk1qy0m1svDGgT6pf3d5dzCGCGG2t1aSV3dgoCgnmup+EnxL0f4yfDTRPin4f0TW9Nstd09Lu2sPEmjTadfwIw4Se2nVZIHHdHAIrwr/grD4Q+EPjL9lD7J8cfB3xd1jw/Y+K9M1GQ/A+1uJfENjcW8plt7qEW379VSZY8vD86kqeFDEan/AASmX9pNP+Cd/wAJ1/a8bWT8Qv8AhGF/t4+JGzqW3zpPs32s9ftP2byPNzz5m/POaAPoOiiigCtrOsaV4e0i78Qa7qENpY2NtJcXl3cSBY4YkUs7sx4ChQST2Ary79kH9tj4D/tyeBL74k/s/wB/rdzpFlfi3W51vw1d6b9rRo1kiurcXMaGe2lRg0cyZRxnB4Iq7+2t8NfF/wAZ/wBjf4s/B/4fEf294q+Gmu6RomX2g3dzp88MIyenzuvNfH//AAb0eGv2h/CPwW8b+HvibpvxZsfBdjceHrTwVp3xlWddUtb6LQ7WPW44FuP3iWC6grrAo/dBVby/kxQB+htFFFABXz58I/8Agpd+zz8ZP2stU/Ys0Tw18QdI8caZY6jfeV4p+H2oaZZ3trZXKW09xbXNxGsdxF5kiBZIyVcMCCcivoOvlD9nPwP4z+I3/BVD4+ftN+NPCeqWGk+E/C/h/wCG/wAP7rUtPlgS9gVH1bVLm3MigSxNc3dvD5iZUtZkZypoA+r6KKKACvAvjV/wUw/ZI/Z+/ah8M/sg/Evxnqdt4x8UPp6Wq2vh+6uLGye/nkt7BLu7jQxWrXM0UkcQkYF2UgV77X5Qf8FI/g38cfFX/BZr4f8Ajfw78CfHWrzR6h8O28A6zoGhSTeGZbW01q/m199dlUeV5ttayxy2hnO6N33Q/MTQB+r9FFFAH//Z", 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jzwDYarrHhTwra3Phy/vEZmsJjfTEugB2k5RCNwOCoIwa9N/4KF/Cz4d/Gj4UeHvh38VPCVrrmh33jS3N3pt4WEcpS1u3UkoQeGUHg9q/P8RhJ+zzVc73T/8Abrfd7vofsXC3GeTcP8Q5Nmf1Xn9l/EVo9Kaopw7tWdW8uX33bpzy84/4IPav8S9Y/wCCYPw7k+JkNwr26XlvobXMAjZ9MS5kW2IAxldgwrHqoU8jBP2DXmf7HOjaV4d/Zp8KeHtB06GzsbCyltrK0t0CxwQxzyKiKB0VVAAHoK9Mr7PLI8mXUY3vaMfyR+a8TZlTzniPGY+FNU41as5qK2ipSbt8rn5G/wDB1R4j+LFr4O+E/hXT5b1PBF7f6jPqoiT/AEeXU40iFsJGH8Qie4KqeuXIzjjP/wCCZnxZ8ZXn7EXhP4i/Fz4qXNnPpvxEt7aHxDf6pFC1vY29tDBbRNM/yqgiRIcNyVOO4Nfqj8df2ffgv+014Ak+F3x6+Hen+J9AluorltN1JGKCaMkpIpUhlYZIyCOGI6EivCrvQdE8O/tRQ+GtB0m3s9PsfHml29nZW8QSKGJNBgVEVRwFVQAAOgFfG8Q5NXeYxxSq2VSdOKWt09r/ACtdebe3X9EXH2AxnhrhOGY4RKrh51KkqmlpJ8zS73fPaV9LQjve0fcfgLquvax4G+265cyzhrp/sk8zFmkiwDnJ6jOcGu1oAAGAKK+2wOGlg8JCjKTk4q131PySvUVatKaVr9ArD+Jt34rsPht4hvvAduZdch0O7k0WJYw5e7ELmFdp4bLhRg8GtyiumS5otCpTVOrGbSdmnZ7Pyfkfz8f8G/XjD49ah/wVeF9LNqt3Nrula2/xLuLuAvI0ZVpmkuCwyjG+W2Bbg722/wARr+gevj39jn4J/Cb4e/tc6/8AEnwT4BsNN17xYviqXxHqturedfuuswkFyxIHLE4XAJOSOBX2FXzXCdF0cslFyb9+W/k7fpf1Z+meLfGOD444phmGGw/sYqjThbS7aTbbtppzcsf7sY7bLl/jdf8AjnSvgv4v1T4YWzzeJbbwvqEvh2GKESNJfLbSGBQrcMTIEGDwelfF37HfxAe8+MfwA0T4WeNbzWItR8E6pN4uDmOeWTTvsURe6vCctDL/AGnHboTwTK0yEZVgv3zXx3+w18EfhL8Nv2mtc8eeBfAFhpeteLNN8Q3PiTUrdG82/lGsWxDOWJxy7HC4GT0qc6oSnm+BmpNWk9Plf8bWfkz53I8xy/D5LjKNelzTs3B2Vm5RlD3m9Uoc3PC1/eVmteaP5P8A7dvjr9qV/wDgulqGrWyarJ4y0j4oafa+BLU2gZhZJNH9gSKM/K0bxMrejeY7NyzV/RJXx18fPgn8JfEX7eGnfG3XfANhd+LND1jwraaPrsysZrSF7wblTnaM+Y/OM/McGvsWnw9QdHFYy8m/3nX0v9+v4H0viPxrg+LctyehQwyovC4dU5NW956LS32Fy3inqnKXqyue+KtvpVx8PtUXWW2wrbFlYKCVcfcIB77sV0NeJ/tgfFRvDHhO40fRrCW+u7SITmyiHNzO2Ft7cHBOXkZR04yDXo55iqeEyupKSvzLlS7uWiX9dD83wNKVbFRS0s7t9kjzv9lHxD4W8aftca7b6jC5uvC/hprXw68kUZilmeWJtSeNt5bfGHsIj8i7d7jJ3ED6wr5OvPgdrf7ON78PtU0K6W61XQbpL/U7p3Qf2jJcbl1Zd5iAHmmaSVQAvzrFkqBkfWEciSossbBlYAqwOQRXn8Lv2GDlgpq1Sk7Nd76p/P8AQ6c0XPWVeLvGa0+W6Fr8NP8Ag6R8R/Fif9qjwH4T1uS9XwVB4KN14fiaPFs9+9zKt4yn+OQItoDnlQV6buf3Lryv9qP4Ufsf/FGy8Lxftc6J4Pu4LHxHE/hP/hLb2KBTqTA7I4TI6+a7gf6r5g+0ZU4GO/PcvnmeXSoRnyttO720fX+t7H2PhXxdh+COM6OaVsM68YxnHlik5Lmi1eN+q2f91yPhD4A+PvAPx3/Zc8BeGf2mv2o28SXmraHpkuu+DNd8b2Ztru6Uo8UE1om0uBIsZ8k8FlAZTyK+n/8Agl5p+neHfD3xP8GeALKK38B6R8SZovB8FnbolpAz2dtLqENsU4aJL97kcZCyGRBjbtX0f9uLwJ4O+IH7M2veCvGnhy21HStVvtKttRsZ1ISeJ9TtQyEqQcEehBqj+wN4D8G/DD4Ey/D74e+HLbSNE0nxLqEGnabZqRHBH5ucDJJOSSSSSSSSSSa+ey3LK+X8RxhUryqP2bd325rW3enX1ObH8QYfG5DilGDh7ardU1b2ULtS546/Hp7Ne6vcb953se11yPx48I/Bfx38INf8KftE2Wi3Hgm7sSPEUfiG4WKyECsH3SyOyhArKrBsjaVBBBArrq/OP/g5t8SfFjRf2FtE0vwPLex+HtU8a28HjJ7RMo0CxSSQJMw5WMzoh9C6oDzgH6rM8VHB5fUrSjzKKenf18u/kebwPkdXiTi7BZbSrexlVqRSns421vHb3tPd1XvW1R95/Bzwd8H/AAf8KvD/AIZ+B2laND4Ps9KhTw4miOktobTbmNonUkSKwO7fk7s7sknNdQqqoCqoAHQAV+Lf/BGr486xD+yK3h74n/tf6r4XtdG8SXFp4X0dvGtpYrFY7I5DtjlBcr58k2CeOoHAr9Wv2afFmseM/Dl3r1xrp1TTrlo5dO1ETiVJw6klo3HyshG0grxzxXh5VxPhcxxFPDQpSi2vLlVlfTy6LRdDr414WxPDXEGNwlWuqrpVJLnu7y13d/ta+8ruzvq9z0uvDv8AgpX4j+LHhH9gn4reJPge96niez8HXT6dLpse64iXAE0kY6h1hMjAjkFcjkCvcaSSNJUaKVAysCGVhkEehr6WvTdajKmna6av2utz5nK8ZHLszoYuVNTVOcZOL2lyyT5X5O1n5H88H/BC/wCKuueCfil428N6j8e73wP4YvfD8V1eSW3iC209bq/jnVIAXmBLERyXPyr9T0Fff2l+GPgtpfx7+F3xd+BGuWPiD4h6x8XbaK68VWWoQapqWrWs0fl6ulxOCS0MengsQMLCI4doXd832b+yn8JP2Pfhf4N1fTf2PdA8HW2h3OvzS6z/AMIjeRXMP9ohEWRJHR3CuqhB5eRtBGFGa8P8IfBD4RaV/wAFFbj46ad8PtOi8Yah42vLC88QKjefJbLoLgR8naowiDIAJ2jJr86nkGIy/wCqOWIck6kUkr8qu27rX9FufsnFPiHguI+M8fmtPDzoRlSa5LLmqNQUeWtqlyveXxaJRtrzL7Fooor9KPww/N/4A/E3x3cv8FmTxbf3PxH1b4vTp4002aOJrsz770a3DcQnmGK3ikfGAPLVbbH303fDf/BxB4u+Oj/8FPxYajNqiWWi6LpL/DiNYDtCNGkjyQAD94xvRMpbBJaML0VRX6ffDn4I/CbRP+Cg918ctL8A2EHi/V/Gmq2WpeIFVjcT266XKFjOSQoxHH90DO0ZzSf8FFPgn8Jvif8AF3S/GPxB8BWGr6n4U8Gvd+HLy8VmawnN0T5iAEKTlEPzA4KgivzGpg5x4fxEfaP3a/32aj+N7+qR++8I+IOR8McbwzOOC54ToVE42inGdR89o9OSNvZp6NwlJ8qvyH1R8KrzxfqHwv8ADeofEG3aHX59As5NcieMIUvGgQzKVHCkSFhgcCt+iiv02K5YpH4NVmqtWU0krtuy2V+i8kfnl+2P8T5/DHj/APaWv/iT8QbvRrzRvDdkPCHnvFG1tph0oNaz2aPxKX1OS8Tdg7pUWPnAWtL4X/FPwl40tvDMHin9qyXxXr7WkEv9g3/jezux9va3xIUgiwS67pQAM4BPFfX/AMSf2Yf2f/jB8R/C3xe+J3wn0jWvEvgqczeFtYvYC02nyFlfchBwcMqsu4HawyMHmu4W1tUbeltGCOhCCvi8Rwpi8Riq9T604xqNuyTd0+j1W2y30PscdxHlVXA4eFDD/vIxjztqKScYRguRq7alyucm0nzStZ25pc38FvCR8D/C3RvDLGXdBbF2E+N4aR2kIOAMYLkY9q6iiivsKFJUKMaa+ykvuVj4ycnObl3CvFtX+H7ax+03DqTabJb+TqcWqyTQqcTmO08hWYnI6BU4x9we9e00VyZhgFj/AGV5W5Jxn626G2HxDw/NZX5k194UUUV6BzhRRRQB4v8ABf4fmw+NmqeI20ySzGnQ6hCIY1Ii33d1FM5y3JJMe4YPRye4r2iiivPyzALLcN7FS5tW7vzdzoxWIeJq87VtEvuOX+N1/wCOdK+C/i/VPhhbPN4ltvC+oS+HYYoRI0l8ttIYFCtwxMgQYPB6V+b1n8b/AAt4bufgDY+FP2mb7QItX8NX7+INTXxBa21zdWf2FGklupZsmOU6jHCrDgmXzlI+Rgv6k1wPws/Zb/Z5+CXjLxT8QvhR8I9G0LWvG199s8U6jY22JNRn3yPvfJIHzyyNhcAlycZrzc7yXEZrXozp1nT5L7Xvr1Wq16b7H0eRZ3lmXZbiKOJo885XcNI2bcZQtNvVKPNzwsn7ys0r80fn34CR+Dfiz41tG8LfF2TxpPb67Y3uqasuvwajPGLaVZoo5Hi+VE/dkAEAnc2Dk8fYFNjhhhz5USrnrtXFOrqybKpZVSnGVV1HJ3bfol3f5ngYzFrFzi1HlSVrBXMXvwu0m9+IkPxCku38yJButtg2tIF2q+evA7eoH0PT0V6GIwuHxSiqsb8rUl5NbM56dWpSbcHa6t8mc18Rvhpp3xGgtIr2/kt2tJiweNAxZGxuXnpnA57ehrooIYraBLeFdqRoFRR2AGBT6KcMLh6VedaMbSna7722CVWpKmoN6Lb5hX4bf8HRnij4uj9qzwD4Z1O6v4vBtr4M+2eHFClYG1FrmVbt1YfekVEtAe6grjG7n9ya4T44/sx/AH9pa30W0+PPwp0jxTH4d1RdR0VNVgLi1uQMb1wRkEYypyrYGQcCuDO8uqZpl8sPCXK20/LR9f63PvvC/jLB8B8YUs3xVD2sIxnFpW5lzRavG+l+j/utnwb+yz8dbL4i/AH4f3vxw/bEu9X8R6jo2n3Gr+H9X8c2ZWa++R0R7dcPvEgjYJnO4DPORX3n+zt4Sbwn8OQsgmD6jqNzfukwwVMr5wBgcYAIz61232S1DbhbR5z12CpK4cqyGtl+MeIq4h1Hy8uq2V09232PmM3zenmdWpOnRjSU5uXLHZXb0SstFey8kFc/8VPhX8O/jd8PtU+FXxZ8I2eveHdatxDqmk36ForhAwYA4IIIZVYEEEFQQQRXQUV9HKMZxcZK6Z5FGtVw9WNWlJxlFppp2aa1TTWqaeqa2MH4dfC/4e/CXwNpXw0+G3hCx0fQdEsktNK0yzhAjt4VHCjOSfUkkkkkkkkmt1VVQFVQAOgApaKIxjFJJWSFVq1K9SVSpJylJttt3bb1bbe7fVhXh/8AwUr8R/Fjwj+wT8VvEnwPkvU8T2fg66k06bTY91xEuAJpIx1DrCZGBHIK5HIFe4UkkaSo0UqBlYEMrDII9DWdem61GVNO101ftdbnZleMjl2Z0MXKmpqnOMnF7S5ZJ8r8naz8j+eT/ghl8YPE/gz4keM/BmqftC6j4I8I3GiJfXCQeI7fT4p9RWaOOI5mBy3lNNkL1Cjd91a/Xj9law8KeP8Ax1pfi3wj8QD4oh0nUbm9vddi1aK+NxctayW5E00eVLBJl+UYICr2Bz7R8Cf2YP2ff2ZPD1/4U+Afwm0fwtp2qam+oX9rplvtWa5ZVUudxJ+6qgAcADgCu6jijiG2KNVHooxXx+A4UxOGnRlVxLahJS5bPlunfS7/AE7n6B4kce4HjTifE5nhML7KNVRir25naKjeVtLu3fZLsOooor7U/MD8qrj436toHwh+F+seKPjpf+HPHuq/FqSHxndy6lbWl7BeGe7GswTebkW8cMbuowBsUW4H313e8+AJvAnxq1q68LaB8epvHOpahbJa3EzeKLfUbmzti+DtEQxGmWJJYYz3r6f8Pfsu/s9+FPjhrX7Sfh34SaNaeOvEVktprXiaK3/0m7hAjG1jnAz5MWSAC2xck4ruo7eCI7ooUU+qqBXwtPg/FWcamKfK5Xsk7PW93ru/R69z7fPOJcrxtdVMFh+W/M22opqU224x5b+5D4Y7Nq7tG/Kn0UUV90fEBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAV4/wDtm/t1fs5fsEfD7T/iT+0d4ovrGx1bVDYaZa6Ro1xqF3cyrDJPKyQW6NIUighlmkfG1EjZiRXsFfA//Bbjw58S9A8RfBv9o/wf8FvFfj3SPB6+NdG1zQ/BeiSalfJNrfhm70+ym+zx5YxfaSkTv0jWfceAaAPunwr4o8PeOPC+m+NfCOsQajpOsWEN7peoWr7orm3lQSRyoe6sjKwPoav15F/wT/8AhN4z+A37C3wc+CfxFj2a/wCE/hhoWk63FvDeVd29hDFLHkcEK6sue+2vXaACuZ+M3xe8DfAL4Va/8Z/iXf3FtoPhvTZL7U5rSxluZREgyRHFErPI5OAqqCSSAK6auQ+P3xA0r4V/BPxT8Q9b0TWtStdJ0S4nnsPDmjTajfTgIRtgtoFaSZznhFBJoAi/Z2+Pnw5/ak+B3hf9of4RX11c+GfF+kRalok97ZvbyvBJ90vG/wAyHjoea7SvkX/ghTr2pXv/AAS1+FHg3xB8PvFvhjWPB/h+PQdc0nxl4XutJuku4FVnKRXKI0kX7wbZQNrEMAcg4+uqACkkkSKNpZGAVQSxPYUtJI4jjaRgSFBJAGSaAPEv2Sv+ChX7Mf7a/iPxb4O+BniLWH1bwVLbf23pfiDw3eaXcfZ7kOba8ijuo0aa2mEchjmUFW2nHbPt1fAX/BIf4s6h+09+1B8e/wBrD4r/AAg+I3g7xz4qvLHS9M0Hxj8PdQ0i00jwrp0tzDptvFc3MSR3dzM0lxdz+WSENwiDhMn79oAKKKKAPEbr/goV+zRp/wC2PZfsLalrOu2vjvU4pjpbXXhe8j0u+nhtVvJbSG/aMW8twluyytErllU84PFe3V+e3xn07xT8Tf8Aguj8HfFPwu+D/wAXI73wDb61ZfEPWvEulXH/AAhkehTaQ5gu9NlkLW4vZLuWGEvBtmKxyJINqiv0JoAKKKKAPLP2sP2y/gF+xV4T8O+Mv2gPFUumWnivxjYeF9BS2s3uJbvUrxysMSogJx8rMzdFVSTXqdfl9/wcH/BL9tj4k+JvAXxA+Bf7Ly/E3wp4Tl0ZrOG08TC1utK1yTxPpcr3H2VYJZLhWtrRLczDattFc3MrblVlr9O9OmvbjT4J9Rs1t7h4Vae3WXeInIBZQ2BuwcjOBnFAE1FFFAHmn7WH7V3wr/Y0+FA+MXxetteuNNk1qy0m1svDGgT6pf3d5dzCGCGG2t1aSV3dgoCgnmup+EnxL0f4yfDTRPin4f0TW9Nstd09Lu2sPEmjTadfwIw4Se2nVZIHHdHAIrwr/grD4Q+EPjL9lD7J8cfB3xd1jw/Y+K9M1GQ/A+1uJfENjcW8plt7qEW379VSZY8vD86kqeFDEan/AASmX9pNP+Cd/wAJ1/a8bWT8Qv8AhGF/t4+JGzqW3zpPs32s9ftP2byPNzz5m/POaAPoOiiigCtrOsaV4e0i78Qa7qENpY2NtJcXl3cSBY4YkUs7sx4ChQST2Ary79kH9tj4D/tyeBL74k/s/wB/rdzpFlfi3W51vw1d6b9rRo1kiurcXMaGe2lRg0cyZRxnB4Iq7+2t8NfF/wAZ/wBjf4s/B/4fEf294q+Gmu6RomX2g3dzp88MIyenzuvNfH//AAb0eGv2h/CPwW8b+HvibpvxZsfBdjceHrTwVp3xlWddUtb6LQ7WPW44FuP3iWC6grrAo/dBVby/kxQB+htFFFABXz58I/8Agpd+zz8ZP2stU/Ys0Tw18QdI8caZY6jfeV4p+H2oaZZ3trZXKW09xbXNxGsdxF5kiBZIyVcMCCcivoOvlD9nPwP4z+I3/BVD4+ftN+NPCeqWGk+E/C/h/wCG/wAP7rUtPlgS9gVH1bVLm3MigSxNc3dvD5iZUtZkZypoA+r6KKKACvAvjV/wUw/ZI/Z+/ah8M/sg/Evxnqdt4x8UPp6Wq2vh+6uLGye/nkt7BLu7jQxWrXM0UkcQkYF2UgV77X5Qf8FI/g38cfFX/BZr4f8Ajfw78CfHWrzR6h8O28A6zoGhSTeGZbW01q/m199dlUeV5ttayxy2hnO6N33Q/MTQB+r9FFFAH//Z", 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", "info": {"equation": "0+10*9=90", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "f58a7aff50f398d44d49ebfd53126db0ee5430e1450aeaa263999227a7427044"} +{"episode": 940, "episode_seed": 3241147205, "split": "train", "timestamp": "2025-10-28T03:42:50.185264", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3241147205, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 6, 1, 0])", "action": "('move', [4, 6, 1, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "57-40=17", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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y63tH1ivDv+ClXib4xeDf2Dfin4n+AT3yeLLLwnPJpkumRb7mFcqJpIh13rCZWBHzAqCOQK9xoIDAqwBBHINfUV6brUZU07XTV1urrf5H5fleMjl2Z0MXKmqipzjJxltLlknyvydrPyZ/Nr/wRd+LvjXwD+1JdeHbf456l4L8L61otxL4ourbXobGOdoUY2xeSbKlhLJgY+Yh27Fq/ZX4C/F9vEuuw6D8O/2hrjxxcRX0c00T+J4NReFWwuH8jG2MhT94f3iDXuPwL/ZM/Zt/Zm/tv/hQnwb0Twt/wkd8LvW/7Lttv2qUbtpOScKu99qDCruOAMmvQY4IIjmKFFJ67VAr4vCcJY6jTjF4uSSd+WN7b301X5bn6X4meImW8ccUTzPC4P2cXCMfetzOy+KVk1fXlWr92MfRPooor7k/Jj80v+DnrxR8ZdE/Y68K6H4Hlv4vCer+LfJ8bSWcf7twkfmWkUzDlYzKrMB90vGmeQoPy9/wQ++NOraH8CvFXhDxx+1HqHgvQ9O1+JvDmmxeK7TTkd5Y3a6dVlG9+RDk9ATgc5r9rvin8K/h38bvh/qnwq+LPhCz17w7rVuIdU0m/j3RXCBgwBxgghlVgQQQVBBBANRfCr4OfC74H/D/AE34V/CXwNp+g+HtHiaPTdKsYcRQKzs7YzkklmZiSSSWJJJNfJ5lw7isdmjxVPEOmnFLS915LVaPfffofr2F8Sctw/hT/qpLBKVX23tPaaWtfm5tr+0/5d7W9n16H57WHgn4HeD/AI3/AAf+Jf7Nc+mal4+1j4uwpJ4j0i6h1HUNdsrl3GvPdzgs00a2plkdzxC6xBdm4K36XV8RfBP4BfBfwr+3LD8b/Dvw30208Xa38S/E9vqmvxoxnniEeqjZySFH7qPO0DOwZzX27RwjQlQwlZOTf7yS18rK/wA+p8jxbmtPMfqsIylNwp6yn8Tcm3yrWXuQ+zd3bcpWjflRXxT8dPHdzpv7d/jez+MHi5tM0fSfh5pk/g2HVLhLeyGnO076pdRsxAdxNFCszHlEjhztUgt9rV8qf8FGfgJ8G/j3448BaT8Zvh1p/iO10rRtdvNPt9RVikM4l0xd4CsM8Egg5B7it+LaTqZHUalblafrqlZ/ff5HLwpisDh8ylTxcW4VYuLcUnKGsZKUVJpX93leq92Utej8K/af+If7T1r/AMG+TeLvDVzry6/P4cit7u9NgIb4+G2vmiSeRFA8vfpvks7AAhXZjt5I+av+DV/WvitH8efiZ4d02C6bwPL4TguNYkFsDCmqLcotoDJ1VzC95hR94KSfuiv1QuLeCf8A4J7vaTQq0T/Boo0e35Sp0nBGPTFeef8ABOP4F/CD4AeJ/G3hH4MfD7T/AA7ptzo2h3dza2CtiWdpNSUyMzszMcKo5PAHFcFbCShxBgXzt+41/wCAx/8Abr6n6LgfETLcP4dZzkn1GKniq3tItW5YKUovleif7vl/d201e1tfqiiiivtD8UPH9U+Df7El5+17ZfFPV/D3ghvjUmj5sZ5r6EaybMRvF5q25fcyiPzE83YSFBXdgYHri2tqjBktowR0IQV/MX+0j8Y/2qdB/wCCoXin4neIPF+taN8SdO+Is8FrfvItvPZIspggjTd8iRC3KIoPyGM85Ukn9nPBPx08JnxNHYaD+2ddeIbu8DW9vpNx49s7rzmb+5HGA5fjjac9a+Fhxlg6EqsZUGnzPa2vnLaz77n7R4i+GmYcLUMsnVx6xCrUU1dt8lrPlhq/3fve49L+9oj7corF+Hlzrd54J0268RB/tj24MxkGGPJwWB6EjBPvW1X2tCqq9CNRK3Mk7PdXV9T8aqQ9nNx7OwUUUVqQfzq/8HBPiz41ap/wU08SaX8Q7jUU07R7DT4/AkM0ZSNNPaBHLwAcMGuTcZfkllKn7oA/er9lDV/ih4g/Zh+Hmu/G22uIfGN54K0ybxTFd24hlXUGtYzOHQcI3mFsqOhyK+Z/+Ck3wF+DXxd+K8/iv4nfDnTtc1Dwt8NJLrw/c36MxspvOum3qoYKx3RocMCPlHHWvtOxJayhZjkmJck/Svkskw7pZ7jryb1j/wCTXf4bLyP17jvjvA8TcE5JldHCKlPCwcZS01aUY+7bW0rc87/a72u5aKKK+tPyEr6u99HpN1JpibrlbdzbrjOX2naOffFfzS/sPeP/ANq3UP8Agrp4K8ZXr6zcfEu/+KIj8Wrc2m66CyTNFqiSxsMIqWxuQwwBGqHG3aMf0xV8Q+AvgN8G9H/byT4+aZ8OtOi8Z6l8UtWtL7xEFY3EsAsr1dnLFVG2NASoBIXk8nPyXE+HlVxGDkpNfvEtPO2vqraep+veF/HmB4Oy3OMNiMIqzxNBxi3bRpSXLK/2Jc15Ja3itOq+3qKKK+tPyE/n/wD+DlDxZ8aLz/goRH4e8aXGoReGdI8MWUngON0KQCORFa6miI4Zzcq6s33v3SDoq19h/ss/tBWvxB/Za8Hah+0P+21fza1q/huM+J9G1b4gWMaTB9wMM0XDANEVDKSGwxyQc199fHP9k/8AZw/aYv8AQNT+PXwe0XxTceF7w3Wgy6rblzaSkoWxgjcrGNMo2VbaMg4rvzZ2hOTaxk/7gr4yvwvjK2PrV44pwU3fS9/R6rRbLfQ/YeI/EzLM64FynIqeBUamDTUp6Welvd0b9/46l7e+lvueU/su+ERYnXPHu6UjWltII92PLZIBKQ6cc5M5GckfKMdDXrVAAAwBRX0uW4JZdgYYZSvyrfa+tz8lxNd4mvKo1a4UUUV3GB5x+0xo/wDanhHTrttLW4Gn6sLlJcEtbuYZYt4x6rK6knj562PgR4ObwH8K9M8Ov5wbfc3TrOAHVri4kuCpAAxgykAdQBzzXX0V5tPLlDNZ43mbcoqNu1nf+vmdMsS5YVULbO9wooor0jmCiiigAooooAKKKKAPCfBXw3ab9oddVOlSWa6NrmoaqywqRG8lxFcxlmLA5Dm5d+CMnpwCK92oorzcry5ZbRnBS5uaTld+Z04rEvEzUrWskvuCvin46eO7nTf28PG9l8X/ABc2m6RpPw80yfwZBqdwlvZDTnaZ9Uuo2YgO4migWZjyiRw52qQW+1q89+P37KP7OX7U1po9j+0L8ING8WRaBem70dNWgL/ZpWADFcEZVgq7kOVbauQcCsc9y2rmuXvD058run5O3R/1vY9fhzMcvy7GT+uxbpzi4txSc4+9GSlFSaV/d5XqvdlLXo/gH9lr46+F/F/7M/h+L4p/ts6kBd2Vzby6PqnjmwtBJpouJo7aKa3CgxhrQQhk4bDHODmvuD9lbwtDBPrfxBtndodXs7G1tmUgxPFAbh1dCB8wP2kjOSDgY6HPra2FiihEs4gFGABGMAVKAAMAYA7CvOy/hytg8dDE1cTKpyJpJrurdZP+rE5rnNDMKtZ0aCpRqScrLaKbukrJbbLyCiiivqTwTzu//ZM/Zu1P9oC3/ao1D4OaLN8QrWz+y2/ip7cm5SLy2i9dpby2ZN5G7aducACvQFtbVGDJbRgjoQgqSiohTp078qSu7u3V935nTiMZi8WoKvUlPkiox5m3yxW0VfaKu7JaIKKKKs5gooooA8M/ak+Hf/Cb+J00xdJkDa5oTaS19bKTIUdpMpk5UbfMZhx3JOQK9xgiEMCQg5CIF59hTqK83B5dHCYyviOa7qtO3ayt8zprYl1qNOna3Lf53CiiivSOYK8J0T4ai8/aNS/GlS2a6Z4hudYbyFISR5IJ4t7Fs8P5xbjHzDjoRXu1FebmGXLH1KMnK3s5qXrbodOHxLw8ZpK/MregUUUV6RzBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAVyHx8+O/wAK/wBmL4N+Ifj78bfFUWieFfC2nNe6zqUqM/lRggAKqgs7sxVFRQSzMoAJNdfXyb/wW9+CvxP+PP8AwTZ8ceDvg94SvPEOuafqeha9F4d06PfcapBpusWd9PbRJ/HI0NvJtTqzBVHJoA9k/ZL/AGvPgf8Atr/Cg/GH4Da7e3Wmwatc6Xqdlq2lTWF9pl/bsFmtbq2nVZIJVypKMAcOp6EV6dXxd/wRt8LeP9Qg/aC/aX8V/DXxJ4P0f4x/HvUfE3g3QPF2kSafqI0wWNlaJcz2smHt3lktpG2OA20KT1FfaNABRRRQB43+2V+3j+zn+wb4X0Dxb+0Tr+p2Vr4l12LSdJXStDuL53uJGVQXEKMIowXQF3IXLqOSQK9kr4Y/4OEfFmpWv/BP+5+Gvhr4WeOvFeteJ/F+gtptj4I8F3usPGtlq9lezvMLWNzCvkwSFWbAZgFHJr7K+GPxA0r4r/DnQ/iboWlatYWXiDSoNQtLLXtKlsb2COWMOqT28wWSCUA4aNwGUgggEUAbtFFFABXgXxK/4KX/ALJvwi/as0L9jn4heKda07xZ4i1G203Tb2bwte/2Q2o3MJmt7BtR8r7MLqSMBli37sEZxmvfa/OP9u7413/xq/4KufCH9lH4p/BX4pW/wr+GHiTSfFy+IfD3wy1PUrHxN4ukOzTYXvYIWhtLGyE5nnlduZMI21Y2agD9HKKKKACiiigDwL9nb/gpZ+yr+1B8fvEX7M3wx13xDF4u8OaY+pvY+IfCN9pialp6XJtWvbKS5iRbu3Ew2ebHlSSMZHNe+1+av7B2leKfiB/wWk+In7Sfwx+Cnxp0DwVrHwomsPiBd/GvR7mH7F4iGriWCw0Z7osVtBEZ3aO2Y22dhXtX6VUAFFFFAEd1dW1jayXt7cJFDDGXllkYBUUDJYk9ABzmvKf2Mf22v2e/2+/hDP8AHT9mbxRc6z4Zg1+80cahc6fJbebcWzKshRZACyfMCrjgg1if8FL/AIf/ALQvxY/Yd+IHwu/Zc0SHUvGHiPTItNt9Pm1xNMNzZTXMUd/El26stvI1m1yqSFW2synaSMV89f8ABvl4K+Pfw2/Z++Lngf42/srv8KIIfj/4ouvD2htqhuU+zzXWWigJgi8y2hKrHFcqClwgEihRxQB99UUUUAFeNftift0/BX9iHTfC978XdI8X6nc+Mtal0rw5pHgjwhd63fXlzHbSXLqtvaI8hCwxSOSBwFJ7V7LXw7/wXI8EfDTxP8GfCviLxz4J/aAv9Y8PXmq3ngXWP2fLW7fUdL1t9Olt4Gnez/fxRyCZ0DD92fmEhCnBAPszwD4y074ieBtG+IGkadqVnaa5pVvf21prGnSWd3DHNGsipPBKBJDKAwDRuAysCCAQa1q8k/YJT9oSP9ij4Up+1g1wfiUPAWl/8JubwqZ/7S+zJ53m7fl83dnfjjfur1ugAooooA8R+Nn/AAUM/Zi+AX7Q3hn9lvx14j1ifxn4ngguY9O0Lw1eaiml2s9x9mgur+W3jdLGCSfMaySlVLA84Ga9ur8ef+CiPwC/bI8F/wDBY3VPjV+z/pXxhXXPiAPh2nw41fwOLn/hGfKsNReLXbbX2j/crElk8sqJP8p+0MUy/T9hqACiiigAr5r+Bf8AwVU/Zo+P37Tzfsg+HPC3xJ0PxudJvdTt7Lxp8NtS0eG6s7SVYpp4pbqJFkj3uoDLkEsMHmvpSvjz9k3wF45+Kv8AwVN/aJ/a/wDiD4M1fTNL8M6bo/wu+GcusadLb/arG2j/ALR1S6g8xR5kMt7coiyplX+ynBOKAPsOiiigD//Z", 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", 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", "info": {"equation": "57-40=17", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "bf2d2780f49bfa3e2fb1ed8ac2a616d9fb5c38df881c06e87aaa09b751a45e61"} +{"episode": 941, "episode_seed": 1779959353, "split": "train", "timestamp": "2025-10-28T03:42:50.217471", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1779959353, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 1, 5, 0])", "action": "('move', [3, 1, 5, 0])", "reward": 0.0, "image": 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3X96N+aH95I/nX/4IwfFzx58Pf2opvDOm/Gm+8FeE9a0maTxdeWusW9isogilNqGlnBAImkACryd54wCR+n/ilf2ZPjxqejeH/ix+0TZ/EhLPUkuNF8N+JvHVpf2rXv3Y5BaIVWeQAkKHVx87ADk19ZfsgfCL9i74X/Dq8sv2KdE8GR+GrzVGkv7jwdqEV7DNdqiAh5keTc6ps+Ut8oI4GeeJ/wCClPwm+G3xg+HngT4efE3wbZ6zomofEaL7Zp1yrBJdmlalImShVhh1U8EdK+GxHDWLweTzm8U3GMW+VX5X17/off8AHPiFguLvEBZjQw0sKvdhzJL22l05yScffs+W3OvdUU5HkP8AwTa0zSvAf7cHxR+G37OmnQW/wsHhi2v/ABRaaRbRf2Zp3i9rgRtDDIn3JWtF3SwKcRlEBVMKD94V8y/8E4PhX8OfgsnxF+Hfwo8G2Og6JZ+IrF7fTdPjKxq76bbs7EkksxJyWYk9OcAV9NV9VwxTdPI6N23dX16Xe3oj854wzOlmueTq007JRjzStzz5Ypc87X96W71dtFzSa5mUUVxP7SmqfFDQ/wBnbx5rXwQspLnxnaeDdTm8JW8VusrS6mtrI1soRvlcmUIAp4OcGvdnLkg5WvY+fwtB4rEwoppOTSu3ZK7tdvol1fY81s/2ev8Agm3F+2PN8RrHwr8Nx8bvtDXk0aanAdXWY2wLTmz8zIkMJ3mTy9xDb85JY++fY7P/AJ9Y/wDv2K/klj+LPxs8P/G5vjL/AMJtrtr4/ttfbUJNdknddQTURIWaRmb5vM35BB9wRjiv3N+Gfx903UPhp4dvviF+3zqlv4gn0Czk16D/AIWTpyeVetAhnXaqkLiQuMDgYwK+DwfGeChz82Hcbtv3UtfN7a9z938WPCfMuDoYGpVzL6zzw5Fzt3hyW0gm5fu/e93a3bU/RBESNdsaBQOgAxS14V+zx8RvEfj/AMRWut6D4vOv6NdwkzX8F4txbuqgqHV0JTO5SPlPJDdxx7rX1WUZpTzfCuvCDirta+XX+ut0fheLwssJV5G09L6BRRRXqHKFFFFAH8y//BZbxp+0L4t/4KIfEa0/aFl1NZtI8QXVl4TtL+Hy44NCWeQ2JgUfL5bwlZNw++zszfMTj9lv+CA3iX46+Jv+CbXheX44216i2WoXFp4Nlv7QRPNoUaxC2YYALoG81UdhlkRcZXDFv7bf7MfwA/aJ/bCjm+OHwq0zxK2j/D7STph1HzP3Hmahqe/ARlBDbEyGyPl9zXv/AOw9b29p+yL8PbS0t44oYfDNvHDDEgVI0UEKqgcAAAAAcACvg8jwsqPFGKTm3yr7+Zp6+h+/cf8AihlnFHhtluS0cCqVSly3lpyx5IuP7u2q595Xtbb3viXqtFFFfeH4CFFFFAHkH7T/AIcF9quheKH0RZG063uoIdQVWLQLM0JkjOOArGGI890GK6H9m34fv8O/hu9hKLhZdS1m+1SaO5ADRvcTtKVxgYA3cA8+td9RXj0cojRzipj+dtzSVrbbdfkdk8Y54OOH5dne/wB/+YUUUV7Bxng//BTbxT8ZvBf7Dfj3xL8BLnV7fxFbWdrm70C2E19a2DXkC388C4J82Oza5kUgFlKAgZAr4q/bJ+MXgr4X/sieF9R/Z1+NMGlavHqekR/C6+0bVraSW6aOVLZ9rSllaNYJJVlkPCEjcy5r9Ta8k+Ev7B/7HnwJ+KWpfGr4Q/s9eHNA8UasJxe6vYWhDkTSeZKqKSViDMORGFGOOnFfLZ7w/iM2xlKtTrcnLp101vePn92y1Pu+GuI8kyvARpY7DucqVR1IpKLjVuoL2dVtpqCcE9FO6lNcqvzL5rtvj58O9P1GO9j/AG/L2YQTrIsVx8StPaOQK2drDbypxgjuK+lP2c/FvivxXf3GoyavJqWj3NsJ471pvMiZ22spjccEMpzwcYII616v9is/+fSL/v2Keqqo2qAAOgFLB8O4zDYyFepi5zUejvr98n+R8zWzGlUounGilfr/AEkLRRRX1R5QUUUUAFFFFABRRRQAV+Xf/B0J41/aG8O/s8+BfDfw+m1SDwBrWrXsfj+exh/dPOn2ZrCCeQcqjH7SwU/KzRrnlVFfqJWJ8SPht4D+MHgTVfhj8T/Cllrmga3Zta6rpWoQh4riJuoI7EHBDDBUgEEEA1wZpg55hgKmHjLlclv+P3PZ+R9bwLxJh+EeLsJnFegq0KMruDtrdNXV9OaN+aD6SSP50/8AgjD8bvib8P8A9pGTwDp3x51TwX4I1ewuLvxW1tr0FjA8kMDi2cvPlQ/mui/L8zA4OVBx+q2lfEn4TeK/Eml22oftZDxfeQXvmaNpWqeO7O7Au2jeIPHFHtZpdkkiDrxI3GcY+sf2f/2Vf2dv2V/C134L/Z8+EekeFtNvr03d7b6dCczzbQu93cszYVQACcDtjJrvFtLVWDLbRgjoQgr5KlwfjlhfZSxjS6xSbj/6UvyPrPEnxFy3jXiuea4XBKlHljFXtzy5ftTsmubW27tFRV9Dy/8AZd+H7+FbLxD4vmFwsniXUoLgxzABQsVtFApQYBwQmcnOc5HFeqUUV9hl+DjgMFDDp35Va/c/LMRWeIrSqNWuFFFFdhieS2/7CP7H1p+0C/7U9t+z54cT4gSXTXT+JRanzvtDR+W023PliQrnLhdxJLZ3EmvVvsdn/wA+sf8A37FSUVnTpUqV+SKV3d2Vrvu/M68XmGPx7g8VVlU5IqMeaTlyxW0Vdu0V0S0QiIka7Y0CgdABiloorQ5AooooAKKKKAPDf2gvDUq/FGHxXB4ezcXOl29kl7DGzNOkcssiRHHGVeWQgDn5z1r0b4F+AY/hd8HvDnw+ilmcaTpUUG64ILnAz82ABnn0rrKK8fB5RHCZlWxnO26nS23z6+Wx2VsY62GhR5bcv4hRRRXsHGFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQB86ftpf8FUf2Nv2CPFOl+Bfj/wCNNX/t3VNJn1ZdG8M+GbzVrm00yE4m1C5S1jc29shyDK+F4Poa9w+GvxJ8B/GP4faL8Vvhd4qs9c8OeItMh1DRNY0+XfDeW0qB45EPoVI68joQDX5df8FJfDHxl/Zl/wCCpHxF/azuf2Z/H/xG8HfFr9kjUPh14am8AeFptYkstf8AtJkS0uo4QTbwSjB85vkBY56Gvsb/AII2/s7fFP8AZQ/4JifBv4A/Gyxaz8VaB4RRda095Q7WUsssk/2clSQWjEgQ4JAKkCgD6aooooAKKKKAOV+N3xo+Hv7PHwp1v40/FXVprLw/4ftPtGo3FtYy3MoUsqKqRQq0kjszKoVVJJYVx37Ff7bPwI/b9+C3/C/P2ddS1W58PDWbvSnbWdHmsLhLq2YLMjQzAOu1jjkdc+ldn8avixoPwL+Fus/FrxPoGv6pYaHai4udP8L6DPqeoTLvVcQ2turSzNlgdqqTgE9Aa/Pr/g2o8e6xo37NvjD9nrx38EviX4R8Q23xG8Q+J8+Nfh5qOk2s9hfX5a38qe5iRJJSpBaNSWUdRQB+ltFFFABRRRQAV8sX3/BZX9hHR/2ktO/Zf8R+NvEeka1rHiiTw3o2u6x4I1K10PUNXjfy3soNRlhW3llEnyfKxG7jNfU9fkH+0x+0df8A7dn/AAVO8M/DH9p/9m742eG/gl8CfiHb3Xgqx0v4Maxer458URTNDHqVzexW5itdMgb5kw371W3swViFAP18ooooAKKKKACvG/2vf26fgd+xNo2mar8X7HxdqEusfaGsdM8F+Cr/AFu7MUCB553is4nMcUaspaR9qjI5r2Svjz/gsP44+Fq/BW1+Dfxk+Gf7Ruo6N4ihurm3179nnT9Rlure7hiMaWly+nN5qpMJ2ISRTA5j+cjaKAPoD9lb9qj4G/tp/AvQ/wBo/wDZy8apr/hLxBHI2nagtu8Lbo5GjkjeOQBkdHVlZSOCK9Dr4z/4IB/C79or4Mf8Ervhv8Nf2nPh3/wiviDS0vUstEn0+K1uoNNN1I1obqOIBVuGjIZyRuJOW+YmvsygAooooAKKK8v/AG1rH9o/Vf2TPiFpP7ILWa/E288LXVv4Jlv7lYYor+RNiSF3IVSu4sCeNyjNAHJfs9/8FMf2Q/2pf2pviJ+x38EPiBca14z+Fqn/AIS9ItNkFnAyyrC6R3BGyVklJRgpOGVh2Ne+1+NP/BGP9nb9sf8AZf8A+CuPinwr4z/4J8z/AA+8JL8CtE0LV9cPjj+1bVZLc+ab5b9bOKPUry6uCzzRIVaIysxLAYr9lqACiiigAooooA+XfjV/wVz/AGX/AIIftFa9+y1qXgn4q+JvF3he2sLjxBbeAvhVquuQ6fHexmS2aWWzhdUDqrYzj7jD+E4+oY3EiLIAQGAIDDBr8cP+Cxvw41/R/wBon4jfEj9iD4c/td6P+1B4kv8Aw3b+FNc8BWd5F4O1iK1ESo1zND/oklukT3Kst2d6yE4ARjn9ePh8PGA8A6GPiGYD4gGj239uG1x5X2zyl87Zjjb5m7HtQBsUUUUAf//Z", 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", 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", "info": {"equation": "12-5=7", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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PuKMJnOdYnH08HCkqs5SUVa0eZ3t8K+e1/IIjIYlMqgPtG4DoD3p1FFfarRHx4V+Xf/B0J40/aF8Pfs8+BfDXw/l1OD4f61q15H4/nsYf3Tzp9mawhnkHKox+0sFPys0S55VRX6iVzXxk8JfCjxz8KvEHhX46aZpF54Pu9KmHiOHXmRbMWgUtI8rOQI1ULv35GwqGBBAI8/NMJLH5fUoRnyuS3/H7ns/I+u4D4io8J8X4PNqtBV40p3cH1unG6/vRvzQ/vJH86/8AwRg+Lnjz4e/tRTeGdN+NN94K8J61pM0ni68tdYt7FZRBFKbUNLOCARNIAFXk7zxgEj9P/FA/Zl+PGpaP4f8Aiv8AtE2fxHSz1JJ9G8NeJvHVpf2r3vSOQWiFVnkGSFDq4+ZgBya+sv2QPhF+xd8L/h1eWX7FOieDI/DV5qjSX9x4O1CK9hmu1RAQ8yPJudU2fKW+UEcDPPE/8FKfhN8NvjB8PPAnw8+Jvg2z1nRNQ+I0X2zTrlWCS7NK1KRMlCrDDqp4I6V8NiOGsXg8nnN4puMYt8qvyvr3/Q+/458QsFxd4gLMaGGlhV7sOZJe20unOSTj79ny2517qinI8n/4JxLH4N/bV+JPwn/Z+Gz4S2fhaC917TdMRG0nSPFz3WJILZlJEUr22XmgThGVcqnyg/dVfMv/AATg+Ffw5+CyfEX4d/CjwbY6Doln4isXt9N0+MrGrvptuzsSSSzEnJZiT05wBX01X1fDFN08jo3k3dX16Xe3oj854vzKlmueTq007RUY80rc8+WKXPO11zS3ertouaTXMyiiuJ/aU1T4oaH+zt481r4IWUlz4ztPBupzeEreK3WVpdTW1ka2UI3yuTKEAU8HODXuTlyQcrXsfP4Wg8ViYUU0nJpXbsld2u30S6vsea2f7PX/AATbi/bHm+I1j4V+G4+N32hryaNNTgOrrMbYFpzZ+ZkSGE7zJ5e4ht+cksffPsdn/wA+sf8A37FfySx/Fn42eH/jc3xl/wCE21218f22vtqEmuyTuuoJqIkLNIzN83mb8gg+4IxxX7m/DP4+6bqHw08O33xC/b51S38QT6BZya9B/wALJ05PKvWgQzrtVSFxIXGBwMYFfB4PjPBQ5+bDuN237qWvm9te5+7+LHhPmXB0MDUq5l9Z54ci527w5LaQTcv3fve7tbtqfogiJGu2NAoHQAYpa8K/Z4+I3iPx/wCIrXW9B8XnX9Gu4SZr+C8W4t3VQVDq6EpncpHynkhu4491r6rKM0p5vhXXhBxV2tfLr/XW6PwvF4WWEq8jael9Aooor1DlCiiigD+Zf/gst40/aF8W/wDBRD4jWn7QsuprNpHiC6svCdpfw+XHBoSzyGxMCj5fLeErJuH32dmb5icfst/wQG8S/HXxN/wTa8Ly/HG2vUWy1C4tPBst/aCJ5tCjWIWzDABdA3mqjsMsiLjK4Yt/bb/Zj+AH7RP7YUc3xw+FWmeJW0f4faSdMOo+Z+48zUNT34CMoIbYmQ2R8vua9/8A2Hre3tP2Rfh7aWlvHFDD4Zt44YYkCpGighVUDgAAAADgAV8HkeFlR4oxSc2+VffzNPX0P37j/wAUMs4o8NstyWjgVSqUuW8tOWPJFx/d21XPvK9rbe98S9Vooor7w/AQooooA8g/af8ADgvtV0LxQ+iLI2nW91BDqCqxaBZmhMkZxwFYwxHnugxXQ/s2/D9/h38N3sJRcLLqWs32qTR3IAaN7idpSuMDAG7gHn1rvqK8ejlEaOcVMfztuaStbbbr8jsnjHPBxw/Ls73+/wDzCiiivYOM8H/4KbeKfjN4L/Yb8e+JfgJc6vb+Iraztc3egWwmvrWwa8gW/ngXBPmx2bXMikAspQEDIFfFX7ZPxi8FfC/9kTwvqP7Ovxpg0rV49T0iP4XX2jatbSS3TRypbPtaUsrRrBJKssh4QkbmXNfqbXknwl/YP/Y8+BPxS1L41fCH9nrw5oHijVhOL3V7C0IciaTzJVRSSsQZhyIwoxx04r5bPeH8Rm2MpVqdbk5dOumt7x8/u2Wp93w1xHkmV4CNLHYdzlSqOpFJRcat1BezqttNQTgnop3UprlV+ZfNdt8fPh3p+ox3sf7fl7MIJ1kWK4+JWntHIFbO1ht5U4wR3FfSn7Ofi3xX4rv7jUZNXk1LR7m2E8d603mRM7bWUxuOCGU54OMEEda9X+xWf/PpF/37FPVVUbVAAHQClg+HcZhsZCvUxc5qPR31++T/ACPma2Y0qlF040Ur9f6SFooor6o8oKKKKACiiigAooooAK/Lv/g6E8a/tDeHf2efAvhv4fTapB4A1rVr2Px/PYw/unnT7M1hBPIOVRj9pYKflZo1zyqiv1ErE+JHw28B/GDwJqvwx+J/hSy1zQNbs2tdV0rUIQ8VxE3UEdiDghhgqQCCCAa4M0wc8wwFTDxlyuS3/H7ns/I+t4F4kw/CPF2EzivQVaFGV3B21umrq+nNG/NB9JJH86f/AARh+N3xN+H/AO0jJ4B07486p4L8EavYXF34ra216CxgeSGBxbOXnyofzXRfl+ZgcHKg4/VbSviT8JvFfiTS7bUP2sh4vvIL3zNG0rVPHdndgXbRvEHjij2s0uySRB14kbjOMfWP7P8A+yr+zt+yv4Wu/Bf7Pnwj0jwtpt9em7vbfToTmebaF3u7lmbCqAATgdsZNd4tpaqwZbaMEdCEFfJUuD8csL7KWMaXWKTcf/Sl+R9Z4k+IuW8a8VzzXC4JUo8sYq9ueXL9qdk1za23doqKvoeX/su/D9/Ctl4h8XzC4WTxLqUFwY5gAoWK2igUoMA4ITOTnOcjivVKKK+wy/BxwGChh078qtfuflmIrPEVpVGrXCiiiuwxPJbf9hH9j60/aBf9qe2/Z88OJ8QJLprp/EotT532ho/LabbnyxIVzlwu4kls7iTXq32Oz/59Y/8Av2KkorOnSpUr8kUru7srXfd+Z14vMMfj3B4qrKpyRUY80nLlitoq7dorolohERI12xoFA6ADFLRRWhyBRRRQAUUUUAeG/tBeGpV+KMPiuDw9m4udLt7JL2GNmadI5ZZEiOOMq8shAHPznrXo3wL8Ax/C74PeHPh9FLM40nSooN1wQXOBn5sADPPpXWUV4+DyiOEzKtjOdt1Oltvn18tjsrYx1sNCjy25fxCiiivYOMKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigD50/bS/4Ko/sbfsEeKdL8C/H/wAaav8A27qmkz6sujeGfDN5q1zaaZCcTahcpaxube2Q5BlfC8H0Ne4fDX4k+A/jH8PtF+K3wu8VWeueHPEWmQ6homsafLvhvLaVA8ciH0KkdeR0IBr8uv8AgpL4Y+Mv7Mv/AAVI+Iv7Wdz+zP4/+I3g74tfskah8OvDU3gDwtNrEllr/wBpMiWl1HCCbeCUYPnN8gLHPQ19jf8ABG39nb4p/sof8ExPg38AfjZYtZ+KtA8Ioutae8odrKWWWSf7OSpILRiQIcEgFSBQB9NUUUUAFFFFAHK/G740fD39nj4U638afirq01l4f8P2n2jUbi2sZbmUKWVFVIoVaSR2ZlUKqkksK479iv8AbZ+BH7fvwW/4X5+zrqWq3Ph4azd6U7azo81hcJdWzBZkaGYB12sccjrn0rs/jV8WNB+Bfwt1n4teJ9A1/VLDQ7UXFzp/hfQZ9T1CZd6riG1t1aWZssDtVScAnoDX59f8G1Hj3WNG/Zt8Yfs9eO/gl8S/CPiG2+I3iHxPnxr8PNR0m1nsL6/LW/lT3MSJJKVILRqSyjqKAP0tooooAKKKKACvli+/4LK/sI6P+0lp37L/AIj8beI9I1rWPFEnhvRtd1jwRqVroeoavG/lvZQajLCtvLKJPk+ViN3Ga+p6/IP9pj9o6/8A27P+Cp3hn4Y/tP8A7N3xs8N/BL4E/EO3uvBVjpfwY1i9Xxz4oimaGPUrm9itzFa6ZA3zJhv3qtvZgrEKAfr5RRRQAUUUUAFeN/te/t0/A79ibRtM1X4v2Pi7UJdY+0NY6Z4L8FX+t3ZigQPPO8VnE5jijVlLSPtUZHNeyV8ef8Fh/HHwtX4K2vwb+Mnwz/aN1HRvEUN1c2+vfs86fqMt1b3cMRjS0uX05vNVJhOxCSKYHMfzkbRQB9AfsrftUfA39tP4F6H+0f8As5eNU1/wl4gjkbTtQW3eFt0cjRyRvHIAyOjqyspHBFeh18Z/8EA/hd+0V8GP+CV3w3+Gv7Tnw7/4RXxBpaXqWWiT6fFa3UGmm6ka0N1HEAq3DRkM5I3EnLfMTX2ZQAUUUUAFFFeX/trWP7R+q/smfELSf2QWs1+Jt54WurfwTLf3KwxRX8ibEkLuQqldxYE8blGaAOS/Z7/4KY/sh/tS/tTfET9jv4IfEC41rxn8LVP/AAl6RabILOBllWF0juCNkrJKSjBScMrDsa99r8af+CMf7O37Y/7L/wDwVx8U+FfGf/BPmf4feEl+BWiaFq+uHxx/atqslufNN8t+tnFHqV5dXBZ5okKtEZWYlgMV+y1ABRRRQAUUUUAfLvxq/wCCuf7L/wAEP2ite/Za1LwT8VfE3i7wvbWFx4gtvAXwq1XXIdPjvYzJbNLLZwuqB1VsZx9xh/CcfUMbiRFkAIDAEBhg1+OH/BY34ca/o/7RPxG+JH7EHw5/a70f9qDxJf8Ahu38Ka54Cs7yLwdrEVqIlRrmaH/RJLdInuVZbs71kJwAjHP68fD4eMB4B0MfEMwHxANHtv7cNrjyvtnlL52zHG3zN2PagDYooooA/9k=", 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", "info": {"equation": "12-5=7", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "d125f786fe09e0672f750998ed192d45d6c446364a0126e6b269d78a66e3b7c9"} +{"episode": 942, "episode_seed": 3129789202, "split": "train", "timestamp": "2025-10-28T03:42:50.264135", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3129789202, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 6, 1, 4])", "action": "('move', [2, 6, 1, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "180/12=15", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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q0K8puqrX1cmnHrze/Z6r4I2f8vn/APwTj8OeFvAX7QPxb8CfBjRLLTvBEWn6FeXdho1nFHYW2vyJcpcrGYxgSNaRae8kY+7lGwN/P2DXzp/wTv8AhB8MPgZ4d8ZfD34Q+CbLw/osOv288en2Cts82SyhLuSxLMxwOSTwAOgAr6Lr6HhmDhkdBXvpf723+B+f8V46nmGe1a1O7VoxvL4pcsIx5pWbtKVrtXla9uaW7+ff+Cl3iDXvDn7N1vc2er3Wn6JP420O38a6haYH2fRXvo1uTI5/1cLfIkr8bYnkJIGSOH/Zp8dfEjUfHf7QFr8MNQm1O10nw7pb6IkcEUsEXiX7HeedbxuPvv5SaYzxsflMi9N1e9ftXaXp+ufsx/EHRNWs0uLS98G6lBdW8gyssT2zq6n2Kkj8a88/4J5/Cb4a/BHwZ4w+HXwl8GWWgaHa+LFkg02wVgivJYWjOxLEsxJ7kk9B0ArkxWHlLimjPnavTlp6afrf1SO/BZpl1HhapRnR5qqmrNpcrTlCTbfxcy5HBK1nGb1jy2n+Pf8Awb9eMPj1qH/BV4X0s2q3c2u6Vrb/ABLuLuAvI0ZVpmkuCwyjG+W2Bbg722/xGv6B6+Pf2Ofgn8Jvh7+1zr/xJ8E+AbDTde8WL4ql8R6rbq3nX7rrMJBcsSByxOFwCTkjgV9hVXCdF0cslFyb9+W/k7fpf1Z7/i3xjg+OOKYZhhsP7GKo04W0u2k227aac3LH+7GO2yK4v47+LovCvgK4jNysUl9mASM2AkeMyMTngBQee2RXaV8z/tK3s3x48faP8FNCaZrPX9SGlXs0bBfLsFDTajJko4G6CNoVyOXlTBGcjqz/ABU6OB9jSf7yq+SPz0b+S/Q/PcvpKdfnl8MNX8jsv2JPBptPhjc/F/U7Py9R8f3o1YF4kEkenBRHp8JKs2QLdUlIzw9xLwMkV7NTIIILWBLW1hSOKNAsccagKqgYAAHQAdqfXqYTDU8HhoUIbRSX3HLWqyrVXOW7CiiiugzPxE/4OnfEPxXk/aD+HHhLU5L1fA6eEJbvSEMeLaXVGuZEujuH35FhFoMH7quMY3nP6pf8E5tY+Juv/sJfCfV/jFDcp4jn8D2B1EXkAilP7oCNnUYwxjCE8A5PIBzXD/8ABSL4J/Cb45yeCvDvxf8AAdh4hsbBdVvrS01BWKR3CRQBZMKRnAZhg5BzyDXvfwV/5I54S4H/ACLNh0H/AE7x18vl1Bw4kxkuZvSGnqv0tp6n6nxLxrg848N8oyKnhlCeGlUcp6a3f2evvXvO+8op69Omr8Nv+DozxR8XR+1Z4B8Napc38Xg208GfbPDqhStu2otcyrdurD70ioloD3UFcY3c/uTXyr/wUr+CPwl+N954O0v4ueAbDxBbaVpWuX+nwagrFIblBZhZMAjOASMHIOeQa14rpupkdVp2tZ+uq0OTwn4swnBfG1DM8TQ9rBRnGytzLmi1zRvpfp/hbPnz9ln47WPxF+APw/vvjf8AtiXer+I9R0bT7jV/D+r+OrIrNe/I8aPAuH3hxGwTOdwGcnIr7z/Z28JN4T+HIWQTB9R1G5v3SYYKmV84AwOMAEZ9a2vhja2x+G/h6Q20e7+w7Q52Dr5KV0FTlOQ1sBi/rNXEOo3Hl1WybT3bfY+SzjN6eZVqkqdGNJSm5Wjsrt6JWWivZeSCuR+PHhH4L+O/hBr/AIU/aJstFuPBN3YkeIo/ENwsVkIFYPulkdlCBWVWDZG0qCCCBXXV+cf/AAc2+JPixov7C2iaX4HlvY/D2qeNbeDxk9omUaBYpJIEmYcrGZ0Q+hdUB5wD6+Z4qODy+pWlHmUU9O/r5d/I7+B8jq8ScXYLLaVb2MqtSKU9nG2t47e9p7uq962qPvP4OeDvg/4P+FXh/wAM/A7StGh8H2elQp4cTRHSW0NptzG0TqSJFYHdvyd2d2STmuoVVUBVUADoAK/Fv/gjV8edYh/ZFbw98T/2v9V8L2ujeJLi08L6O3jW0sVisdkch2xyguV8+SbBPHUDgV+rX7NPizWPGfhy7164106pp1y0cunaiJxKk4dSS0bj5WQjaQV454rw8q4nwuY4inhoUpRbXlyqyvp5dFouh18a8LYnhriDG4SrXVV0qklz3d5a7u/2tfeV3Z31e56XRRRX1R8UFfzt/sceOv2pdT/4LxaR4j19NWl8c3nxWu7XxbFcWgMsdhvkivEZDwkUdoHAxwiIu3oK/okr488JfBP4S6b/AMFF7j472PgHT4/GOo+NrywvfEIRjcS2y6C4EfJ2gYRBkAE7Rk18xxHQdWtg5KTX72K08+vyt+J+p+G/GuD4TwGcUK+GVV4rDyhFu3uvVWd/sPmvJLVuMdOq+w6KKK+nPyw/mn/Z8+Lnx/0v/grX/wAJt8T/AIi6t4Y8W6h49vrTxxq893FZT2kLSOl1GzyjZCqxqUA6KFUL0Wv0i+Ptj+zH8QvAPir4q+I/jRb+NPFPh3wtI+g+JLnxTb6lqegzRv5to9j5Z/cTG88nYVXfLII4yWBCV9weEPhH+x3pH7Unij4k+CvD/g5Pi5f6TEni2eyu4m1b7GVh2NPCHLRowSD5yq7sJknivDP+CiPwN+EHxK+Lml+L/Hvw907VdT8KeDnvPDt3dxsTYTm6J8xACFJyiEbgcFQRivzLMeHcTgcBUqvEtx5vhV7O8krvX4ur036n77xH4l4DifirAYynhZYVUaEIvkSUnypy5Y6xXs3pGLbdo+9yv4T6p+Et54x1H4VeGdQ+Its0PiCfw/ZSa7C0YQx3jQIZlKjhSJCwwOBXQUUV+mRXLFI/Bq1RVasppJXbdlsr9F5IK8+/aR0gan4ItLg6YLg2Oqx3CvtJMB2SJvGPZyvPGGNeg0Vy4/CfXsFUw/Ny8yav2Kw9X2FaNS17O5y/wW8JHwP8LdG8MsZd0FsXYT43hpHaQg4AxguRj2rqKKK2oUlQoxpr7KS+5WM5yc5uXc+V/wBtjxRrOl/tTfCzRvEOuT2PhaXw/r1zZLI6x2lzrifZVjSRyRmRbOS+ZE7jzWAOwlfm/wDZ6+O/gbxV8MNRtPGn7aF0ukyeKNctNN0W88b2FtbzaOt/PHbxmEAHymgAA5BZCDnnNfoN8df2fPgv+014Bk+F3x6+Hen+J9AkuorltN1JGKCaMkpIpUhlYZIyCOGI6Eg9Jo3hrw94d0e08P6DolrZ2NhbR21laW8CpHBCihUjVQMKqqAAB0Ar5bH8N4vGZlUxMMS4KSSsr30VrbrTr82fX/2/lUcgo4VYe9aLs21HlsnOSaercpc6Uk0rKCacua0PPv2YPC40rQNX8UBpP+J5qEcy7sbCscEcQZOOQdvXn2r0+gAAYAor6LL8GsBgqeHTvyq1+58piKzxFeVS1rnz7/wUu8Q694c/Zut7qz1e60/Q5/G2h2/jXULXA+z6K99GtyZHP+rgb5ElfjbE8hJAyR8uWXx40ax/ak+InhOb9rS88K6NY6XosjWFn4ssrCFdVdLhbkL5gLO4gjstwz8pIHGa/RbxT4Y8PeNvDOoeDfF2jW+o6Vq1jLZ6lp93GHiubeVCkkbqeCrKxBHoa5/4K/AH4Nfs6/D61+FXwS+HWm+HPD9lLLLbaZYRHYryOXdiWJZmLE8kk9B0AFeJm2Q4rMcxjiKdd00o20vffpZrR9deh9RgM9yvC8PTwlWhzVruztHltJwbk2/e5o8jilazjN6x5bT8l/Y/0Tw34g8RQfEHwn4l/tjT7TSLy3h1a3vkuoryS4uIpJZGmTIkkLwsSQfvM2R0x9E0iIka7I0CgdgMUterlOXf2Xg1Q5+d3bu9L3d/P8z5vF4n61W9pa22noFcv4J+F2leCNe1HXLK7eVr5iI42QAQIW3FQe/Pf0A9yeoorqq4XD16sKk43lC7i+11ZmMKtSEJRi9HuFFFFdBmFFFFAHlH7Ufht9ctNHni0kzSI1xbx3EaMzxmZUXaMcfNtHUdVFeieC9BTwr4O0nwvG7sum6ZBaq0hBYiONUyccZ47Vp0V59DAKhmFbFc13UUVbtyq34nRUxDnh4UrfDf8Qr41/ar8axaR+2brVj8V/F0ml+HLH4Qw3Phxb6ZILQo93c/2vOjMQHlRYtPD5zsRkPAfn7KrhPjl+zF8AP2l7fRbT48/CjSPFMfh3VF1HRU1WAuLW4AxuGCMgjGUOVbAyDgVjneXVM1y+WHhLlbaflo9n/W56vD2YYDL8dKWNi3TlFxbik5x1TTjzNK91yvVe65Hw5+yH+0bDqHwc8Ba14z/bV1C68QXWiWwudF1HxtYr5ssibUje2UBlcqyfIMENgdRivvz4T3euXvgHT7nxC0jXLI3zzZ3sm47S2ec7cfWt77Jahtwto8567BUlcmVZJicuxLq1cTKppazvZap31b7GWa5pQzGrOdOhGmpScrR2SbfurRaK9vkFc/8VPhX8O/jd8PtU+FXxZ8I2eveHdatxDqmk36ForhAwYA4IIIZVYEEEFQQQRXQUV9BKMZxcZK6Z5dGtVw9WNWlJxlFppp2aa1TTWqaeqa2MH4dfC/4e/CXwNpXw0+G3hCx0fQdEsktNK0yzhAjt4VHCjOSfUkkkkkkkkmt1VVQFVQAOgApaKIxjFJJWSFVq1K9SVSpJylJttt3bb1bbe7fVhRRRTICvF9L+H5uv2nTrZ0yS2Fhqc2qM0KnZMz2b2oZic5ysnbHKexFe0UV5+OwCx06MnK3s5qfra+h0UMQ6Cmkr8ya+8KKKK9A5z+av8AZ2+NH7Rehf8ABWabxh8R/ifrXhTxVrHjm9sPiBqsl9HYzQ2xmYXUMjSfJEirGAFPC+WgXlVr9ePAE3gT41a1deFtA+PU3jnUtQtktbiZvFFvqNzZ2xfB2iIYjTLEksMZ719P+Hv2Xv2fPCnxv1v9pLw78JdHtPHXiOyW01vxNFb/AOk3cIEY2sc4GRDFkgAtsGScV3UdvBEd0UKKfVVAr4WnwhitYzxT5XK/Kk2nre71Sv8AJ69z9d8RPEnLuM8ww2JwuCVH2VCFN7bq97WXwRvaK3tva9k+iiivuj8iCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArx/wDbN/bq/Zy/YI+H2n/En9o7xRfWNjq2qGw0y10jRrjULu5lWGSeVkgt0aQpFBDLNI+NqJGzEivYK+B/+C3Hhz4l6B4i+Df7R/g/4LeK/HukeD18a6Nrmh+C9Ek1K+SbW/DN3p9lN9njyxi+0lInfpGs+48A0AfdPhXxR4e8ceF9N8a+EdYg1HSdYsIb3S9QtX3RXNvKgkjlQ91ZGVgfQ1fryL/gn/8ACbxn8Bv2Fvg58E/iLHs1/wAJ/DDQtJ1uLeG8q7t7CGKWPI4IV1Zc99teu0AFcz8Zvi94G+AXwq1/4z/Eu/uLbQfDemyX2pzWljLcyiJBkiOKJWeRycBVUEkkAV01ch8fviBpXwr+Cfin4h63omtala6TolxPPYeHNGm1G+nAQjbBbQK0kznPCKCTQBF+zt8fPhz+1J8DvC/7Q/wivrq58M+L9Ii1LRJ72ze3leCT7peN/mQ8dDzXaV8i/wDBCnXtSvf+CWvwo8G+IPh94t8Max4P8Px6Drmk+MvC91pN0l3Aqs5SK5RGki/eDbKBtYhgDkHH11QAUkkiRRtLIwCqCWJ7ClpJHEcbSMCQoJIAyTQB4l+yV/wUK/Zj/bX8R+LfB3wM8Raw+reCpbb+29L8QeG7zS7j7PchzbXkUd1GjTW0wjkMcygq2047Z9ur4C/4JD/FnUP2nv2oPj3+1h8V/hB8RvB3jnxVeWOl6ZoPjH4e6hpFppHhXTpbmHTbeK5uYkju7mZpLi7n8skIbhEHCZP37QAUUUUAeI3X/BQr9mjT/wBsey/YW1LWddtfHepxTHS2uvC95Hpd9PDareS2kN+0Yt5bhLdllaJXLKp5weK9ur89vjPp3in4m/8ABdH4O+Kfhd8H/i5He+AbfWrL4h614l0q4/4QyPQptIcwXemyyFrcXsl3LDCXg2zFY5EkG1RX6E0AFFFFAHln7WH7ZfwC/Yq8J+HfGX7QHiqXTLTxX4xsPC+gpbWb3Et3qV45WGJUQE4+VmZuiqpJr1Ovy+/4OD/gl+2x8SfE3gL4gfAv9l5fib4U8Jy6M1nDaeJha3Wla5J4n0uV7j7KsEslwrW1oluZhtW2iubmVtyqy1+nenTXtxp8E+o2a29w8KtPbrLvETkAsobA3YORnAzigCaiiigDzT9rD9q74V/safCgfGL4vW2vXGmya1ZaTa2XhjQJ9Uv7u8u5hDBDDbW6tJK7uwUBQTzXU/CT4l6P8ZPhponxT8P6Jrem2Wu6el3bWHiTRptOv4EYcJPbTqskDjujgEV4V/wVh8IfCHxl+yh9k+OPg74u6x4fsfFemajIfgfa3EviGxuLeUy291CLb9+qpMseXh+dSVPChiNT/glMv7Saf8E7/hOv7XjayfiF/wAIwv8Abx8SNnUtvnSfZvtZ6/afs3kebnnzN+ec0AfQdFFFAFbWdY0rw9pF34g13UIbSxsbaS4vLu4kCxwxIpZ3ZjwFCgknsBXl37IP7bHwH/bk8CX3xJ/Z/v8AW7nSLK/Futzrfhq7037WjRrJFdW4uY0M9tKjBo5kyjjODwRV39tb4a+L/jP+xv8AFn4P/D4j+3vFXw013SNEy+0G7udPnhhGT0+d15r4/wD+Dejw1+0P4R+C3jfw98TdN+LNj4Lsbjw9aeCtO+MqzrqlrfRaHax63HAtx+8SwXUFdYFH7oKreX8mKAP0NooooAK+fPhH/wAFLv2efjJ+1lqn7FmieGviDpHjjTLHUb7yvFPw+1DTLO9tbK5S2nuLa5uI1juIvMkQLJGSrhgQTkV9B18ofs5+B/GfxG/4KofHz9pvxp4T1Sw0nwn4X8P/AA3+H91qWnywJewKj6tqlzbmRQJYmubu3h8xMqWsyM5U0AfV9FFFABXgXxq/4KYfskfs/ftQ+Gf2QfiX4z1O28Y+KH09LVbXw/dXFjZPfzyW9gl3dxoYrVrmaKSOISMC7KQK99r8oP8AgpH8G/jj4q/4LNfD/wAb+HfgT461eaPUPh23gHWdA0KSbwzLa2mtX82vvrsqjyvNtrWWOW0M53Ru+6H5iaAP1fooooA//9k=", 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", "info": {"equation": "180/12=15", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "3acff1c8380388a7764df24d5c4d31a079850b216999e38ea0b480e38423a81c"} +{"episode": 943, "episode_seed": 132317375, "split": "train", "timestamp": "2025-10-28T03:42:50.310698", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 132317375, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 0, 1, 7])", "action": "('move', [2, 0, 1, 7])", "reward": 0.0, "image": 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", 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GcAniuz/4KA/BL4TfEj476Z488e+AbDVdX8KeFLW48OX94jM1hK19MS6DO0nKIRuBwVBGDX2Gtrao29LaMEdCEFfnv9hV8xzPGQjiJQXMrrdPmV7PVbbeh+w8WeIGAznhXJMBSwahPCUnCUtPea5VeNlez5eeV/tyfq+b+C3hI+B/hbo3hljLugti7CfG8NI7SEHAGMFyMe1dRRRX3tCkqFGNNfZSX3Kx+QTk5zcu5+Rv/B1R4j+LFr4O+E/hXT5b1PBF7f6jPqoiT/R5dTjSIWwkYfxCJ7gqp65cjOOLv/BMf9pHUpv2OvAmpfF79tTUtM1bT45ILbR77x1ZW6R2VvO0drG0Ljfs8lEGGOSv1zX6afHX9n34L/tNeAJPhd8evh3p/ifQJbqK5bTdSRigmjJKSKVIZWGSMgjhiOhIrpNG8NeHvD2j2nh/QtEtbSxsLaO3srS3gVI4IkUKiKoGAqqAAB0Ar5fHcOYzF5nUxNPEumpJbXvorW3WnX5n6pivEPLq/hpgeGfqS9rQqzm6jtZp8zVtG+Z89pX0tCO+0eX+Auq69rHgb7brlzLOGun+yTzMWaSLAOcnqM5wa7WgAAYAor6PA4aWDwkKMpOTirXfU/Lq9RVq0ppWv0CsP4m3fiuw+G3iG+8B25l1yHQ7uTRYljDl7sQuYV2nhsuFGDwa3KK6ZLmi0KlNU6sZtJ2adns/J+R/Px/wb9eMPj1qH/BV4X0s2q3c2u6Vrb/Eu4u4C8jRlWmaS4LDKMb5bYFuDvbb/Ea/oHr49/Y5+Cfwm+Hv7XOv/EnwT4BsNN17xYviqXxHqturedfuuswkFyxIHLE4XAJOSOBX2FXzXCdF0cslFyb9+W/k7fpf1Z+meLfGOD444phmGGw/sYqjThbS7aTbbtppzcsf7sY7bLmfjTfeN9L+DnizU/hnbPN4kt/DN/L4fhjhEjPfLbuYFCtwxMgQYPB6V/O3/wAEjvjP8TvDP7bt7J4g+Ous+ErTxLZahL481R9djsnupVWSVDPJccGT7Sy9t+XYdGav6Sq+Ov2Hvgb8Ifh3+0zrnjrwT8PNO03WfFmm+IbrxJqMMbGW/mGsW5DOWJxy7HC4GW6VzcSYOri8dhIwqODbkrrppe61XaxvwJxvgeGuEc6yyvhVVlioRUZO2lm171+i5uaNtppd7qX4CR+Dfiz41tG8LfF2TxpPb67Y3uqasuvwajPGLaVZoo5Hi+VE/dkAEAnc2Dk8fYFNjhhhz5USrnrtXFOr18myqWVUpxlVdRyd236Jd3+Z+aYzFrFzi1HlSVrBXPfFW30q4+H2qLrLbYVtiysFBKuPuEA992K6GvE/2wPio3hjwncaPo1hLfXdpEJzZRDm5nbC29uDgnLyMo6cZBqs8xVPCZXUlJX5lypd3LRL+ugsDSlWxUUtLO7fZI87/ZR8Q+FvGn7XGu2+owubrwv4aa18OvJFGYpZnlibUnjbeW3xh7CI/Iu3e4ydxA+sK+Trz4Ha3+zje/D7VNCulutV0G6S/wBTundB/aMlxuXVl3mIAeaZpJVAC/OsWSoGR9YRyJKiyxsGVgCrA5BFefwu/YYOWCmrVKTs13vqn8/0OnNFz1lXi7xmtPluha/Db/g6M8UfF0ftWeAfDWqXN/F4NtPBn2zw6oUrbtqLXMq3bqw+9IqJaA91BXGN3P7k18q/8FK/gj8JfjfeeDtL+LngGw8QW2laVrl/p8GoKxSG5QWYWTAIzgEjByDnkGr4rpupkdVp2tZ+uq0PtPCfizCcF8bUMzxND2sFGcbK3MuaLXNG+l+n+Fs+fP2WfjtY/EX4A/D+++N/7Yl3q/iPUdG0+41fw/q/jqyKzXvyPGjwLh94cRsEzncBnJyK+8/2dvCTeE/hyFkEwfUdRub90mGCplfOAMDjABGfWtr4Y2tsfhv4ekNtHu/sO0Odg6+SldBU5TkNbAYv6zVxDqNx5dVsm09232Pks4zenmVapKnRjSUpuVo7K7eiVlor2Xkgrkfjx4R+C/jv4Qa/4U/aJstFuPBN3YkeIo/ENwsVkIFYPulkdlCBWVWDZG0qCCCBXXV+cf8Awc2+JPixov7C2iaX4HlvY/D2qeNbeDxk9omUaBYpJIEmYcrGZ0Q+hdUB5wD6+Z4qODy+pWlHmUU9O/r5d/I7+B8jq8ScXYLLaVb2MqtSKU9nG2t47e9p7uq962qPvP4OeDvg/wCD/hV4f8M/A7StGh8H2elQp4cTRHSW0NptzG0TqSJFYHdvyd2d2STmuoVVUBVUADoAK/Fv/gjV8edYh/ZFbw98T/2v9V8L2ujeJLi08L6O3jW0sVisdkch2xyguV8+SbBPHUDgV+rX7NPizWPGfhy7164106pp1y0cunaiJxKk4dSS0bj5WQjaQV454rw8q4nwuY4inhoUpRbXlyqyvp5dFouh18a8LYnhriDG4SrXVV0qklz3d5a7u/2tfeV3Z31e56XXh/8AwUr8R/Fjwj+wV8VvEnwOe9TxPZ+Drp9Ol02PdcRLgCaSMdQ6wmRgRyCuRyBXuFUfExYeG9QK9RYy4/74NfS16bq0JQTtdNX7XW58zleMjl2Z0MXKCmqc4ycXtLlknyvydrPyP58f+CGXxg8TeDPiR4z8Gap+0NqPgjwjcaIl9cJB4kt9Pin1FZo44jmYHLeUZsheoUbvurX68fsrWHhTx/460vxb4R+IB8UQ6TqNze3uuxatFfG4uWtZLciaaPKlgky/KMEBV7A5zP8AgmL8C/g98Ehr+i/Cb4d6boVrqfhbw/f6hFZRsftFy/20NIxckk4AGM4HYCvrWOKOIbYo1UeijFfBcP5DWxOGw+LliJcsXzKHS8W9tbfh1P0bxQ43wfFnFuKx+Gw3s41FGOtuZ2gleVtG367Jdh1FFFfoR+VH80/7Pvxc+P8ApX/BWv8A4Tb4ofEXVfDHi3UPH19aeN9XuLuKyntIWd0uo2eUbIVWNSgHRQqhei1+kXx9sf2Y/iF4B8VfFXxH8aLfxp4p8O+FpH0HxJc+KbfUtT0GaN/NtHsfLP7iY3nk7Cq75ZBHGSwISvcPh58D/hHpP/BQW6+N+n/D/T4vF2seNNVstS17Yxnnt10uULGckqBiNPugE7RnNM/4KI/A34QfEr4uaX4v8e/D3TtV1Pwp4Oe88O3d3GxNhObonzEAIUnKIRuBwVBGK/JauU11l1et7eXLGq48utm+ZLm331vt03P6A4m8SMt4k4qy/G0cM8MqVCEX7O3M3FOTgtUuS/uK70jq4v4D6p+Et54x1H4VeGdQ+Its0PiCfw/ZSa7C0YQx3jQIZlKjhSJCwwOBXQUUV+sxXLFI/A61RVasppJXbdlsr9F5I/PL9sf4nz+GPH/7S1/8SfiDd6NeaN4bsh4Q894o2ttMOlBrWezR+JS+pyXibsHdKix84C10HwU+PNnfW2hw3H7Yt5r3iDUNJhjutEn8c2dyZLpolaVUhiAYuGDYCnjBr6x+JP7MP7P/AMYPiP4W+L3xO+E+ka14l8FTmbwtrF7AWm0+Qsr7kIODhlVl3A7WGRg813C2tqjb0towR0IQV8ZW4WxtbF1qscU4Kcm7K+z6PVbbLyPsMfxFlNbAYenRw/7yMYqbaiknGEYJRau2pcrnJtJ80rWduaVLwhNq1x4V06fXUK3j2cZuAwwd20ZyOx9fetGiivsaUHTpxg3eySu+vmfGylzSbta4UUUVZIUUUUAFFFFAHi/wX+H5sPjZqniNtMksxp0OoQiGNSIt93dRTOctySTHuGD0cnuK9ooorz8swCy3DexUubVu783c6MViHiavO1bRL7jl/jdf+OdK+C/i/VPhhbPN4ltvC+oS+HYYoRI0l8ttIYFCtwxMgQYPB6V+b1n8b/C3hu5+ANj4U/aZvtAi1fw1fv4g1NfEFrbXN1Z/YUaSW6lmyY5TqMcKsOCZfOUj5GC/qTXA/Cz9lv8AZ5+CXjLxT8QvhR8I9G0LWvG199s8U6jY22JNRn3yPvfJIHzyyNhcAlycZrzc7yXEZrXozp1nT5L7Xvr1Wq16b7H0eRZ3lmXZbiKOJo885XcNI2bcZQtNvVKPNzwsn7ys0r80fIf2Xfim/jDxPa6T4J+Oc/ji3trs/wBozv4hh1AwI652yNDwo+TK7hnOcHk19OU2OGGHPlRKueu1cU6u3KMtq5bRlCpWdRt3u/RK277dz5/F4mGJmpRgo2VtP6QVzF78LtJvfiJD8QpLt/MiQbrbYNrSBdqvnrwO3qB9D09FduIwuHxSiqsb8rUl5NbMwp1alJtwdrq3yZzXxG+GmnfEaC0ivb+S3a0mLB40DFkbG5eemcDnt6GuighitoEt4V2pGgVFHYAYFPopwwuHpV51oxtKdrvvbYJVakqag3otvmFfGv7VfjWLSP2zdasfiv4uk0vw5Y/CGG58OLfTJBaFHu7n+150ZiA8qLFp4fOdiMh4D8/ZVcJ8cv2YvgB+0vb6LafHn4UaR4pj8O6ouo6KmqwFxa3AGNwwRkEYyhyrYGQcCuDO8uqZrl8sPCXK20/LR7P+tz2eHswwGX46UsbFunKLi3FJzjqmnHmaV7rleq91yPhz9kP9o2HUPg54C1rxn+2rqF14gutEthc6LqPjaxXzZZE2pG9soDK5Vk+QYIbA6jFffnwnu9cvfAOn3PiFpGuWRvnmzvZNx2ls8524+tb32S1DbhbR5z12CpK5MqyTE5diXVq4mVTS1ney1Tvq32Ms1zShmNWc6dCNNSk5Wjsk2/dWi0V7fIK5/wCKnwr+Hfxu+H2qfCr4s+EbPXvDutW4h1TSb9C0VwgYMAcEEEMqsCCCCoIIIroKK+glGM4uMldM8ujWq4erGrSk4yi0007NNapprVNPVNbGD8Ovhf8AD34S+BtK+Gnw28IWOj6DolklppWmWcIEdvCo4UZyT6kkkkkkkkk1uqqqAqqAB0AFLRRGMYpJKyQqtWpXqSqVJOUpNttu7berbb3b6sK8c/4KDa5498N/sXfETW/hreajbarB4ecm70eHzLu2tS6C6mhH/PRLYzOpGSCoI5Ar2OkkjjljaKVAysCGVhkEHsazr03WoSpp2umr9rrc6suxUMBmFHEygpqnOMnF7SUWnZ76O1noz819a+N/gzw7+1BpPhHwj+1G/hXw7J8LRc366R4qs7W3lIu4v7MbzZNxctBLeMqg4KbX6EE/VH7JnxHuvHGqQp4b+K0vjHSba3lhu9UbWI74bwdwDyxfJ5gLgY4O0j0FeifAj9l79nz9mPw9f+FPgF8JdH8LadqepPqF/a6Xb7VmuGVVLncSfuqoCj5VA4Aru44o4htijVR6KMV8llvC+Mwc6Up4p2g78qvy+m/Xrp3PczvOcrxVVwwVH3FFRUpJKcurlJRur3dklJ2SSu7DqKKK+yPlj8qrj436toHwh+F+seKPjpf+HPHuq/FqSHxndy6lbWl7BeGe7GswTebkW8cMbuowBsUW4H313e8+AJvAnxq1q68LaB8epvHOpahbJa3EzeKLfUbmzti+DtEQxGmWJJYYz3r6f8Pfsu/s9+FPjhrX7Sfh34SaNaeOvEVktprXiaK3/wBJu4QIxtY5wM+TFkgAtsXJOK7qO3giO6KFFPqqgV8LT4PxVnGpinyuV7JOz1vd67v0evc+3zziXK8bXVTBYflvzNtqKalNtuMeW/uQ+GOzau7Rvyp9FFFfdHxAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFeP/tm/t1fs5fsEfD7T/iT+0d4ovrGx1bVDYaZa6Ro1xqF3cyrDJPKyQW6NIUighlmkfG1EjZiRXsFfA/8AwW48OfEvQPEXwb/aP8H/AAW8V+PdI8Hr410bXND8F6JJqV8k2t+GbvT7Kb7PHljF9pKRO/SNZ9x4BoA+6fCvijw9448L6b418I6xBqOk6xYQ3ul6havuiubeVBJHKh7qyMrA+hq/XkX/AAT/APhN4z+A37C3wc+CfxFj2a/4T+GGhaTrcW8N5V3b2EMUseRwQrqy577a9doAK5n4zfF7wN8AvhVr/wAZ/iXf3FtoPhvTZL7U5rSxluZREgyRHFErPI5OAqqCSSAK6auQ+P3xA0r4V/BPxT8Q9b0TWtStdJ0S4nnsPDmjTajfTgIRtgtoFaSZznhFBJoAi/Z2+Pnw5/ak+B3hf9of4RX11c+GfF+kRalok97ZvbyvBJ90vG/zIeOh5rtK+Rf+CFOvale/8EtfhR4N8QfD7xb4Y1jwf4fj0HXNJ8ZeF7rSbpLuBVZykVyiNJF+8G2UDaxDAHIOPrqgApJJEijaWRgFUEsT2FLSSOI42kYEhQSQBkmgDxL9kr/goV+zH+2v4j8W+DvgZ4i1h9W8FS239t6X4g8N3ml3H2e5Dm2vIo7qNGmtphHIY5lBVtpx2z7dXwF/wSH+LOoftPftQfHv9rD4r/CD4jeDvHPiq8sdL0zQfGPw91DSLTSPCunS3MOm28VzcxJHd3MzSXF3P5ZIQ3CIOEyfv2gAooooA8Ruv+ChX7NGn/tj2X7C2pazrtr471OKY6W114XvI9Lvp4bVbyW0hv2jFvLcJbssrRK5ZVPODxXt1fnt8Z9O8U/E3/guj8HfFPwu+D/xcjvfANvrVl8Q9a8S6Vcf8IZHoU2kOYLvTZZC1uL2S7lhhLwbZisciSDaor9CaACiiigDyz9rD9sv4BfsVeE/DvjL9oDxVLplp4r8Y2HhfQUtrN7iW71K8crDEqICcfKzM3RVUk16nX5ff8HB/wAEv22PiT4m8BfED4F/svL8TfCnhOXRms4bTxMLW60rXJPE+lyvcfZVglkuFa2tEtzMNq20VzcytuVWWv0706a9uNPgn1GzW3uHhVp7dZd4icgFlDYG7ByM4GcUATUUUUAeaftYftXfCv8AY0+FA+MXxetteuNNk1qy0m1svDGgT6pf3d5dzCGCGG2t1aSV3dgoCgnmup+EnxL0f4yfDTRPin4f0TW9Nstd09Lu2sPEmjTadfwIw4Se2nVZIHHdHAIrwr/grD4Q+EPjL9lD7J8cfB3xd1jw/Y+K9M1GQ/A+1uJfENjcW8plt7qEW379VSZY8vD86kqeFDEan/BKZf2k0/4J3/Cdf2vG1k/EL/hGF/t4+JGzqW3zpPs32s9ftP2byPNzz5m/POaAPoOiiigCtrOsaV4e0i78Qa7qENpY2NtJcXl3cSBY4YkUs7sx4ChQST2Ary79kH9tj4D/ALcngS++JP7P9/rdzpFlfi3W51vw1d6b9rRo1kiurcXMaGe2lRg0cyZRxnB4Iq7+2t8NfF/xn/Y3+LPwf+HxH9veKvhprukaJl9oN3c6fPDCMnp87rzXx/8A8G9Hhr9ofwj8FvG/h74m6b8WbHwXY3Hh608Fad8ZVnXVLW+i0O1j1uOBbj94lguoK6wKP3QVW8v5MUAfobRRRQAV8+fCP/gpd+zz8ZP2stU/Ys0Tw18QdI8caZY6jfeV4p+H2oaZZ3trZXKW09xbXNxGsdxF5kiBZIyVcMCCcivoOvlD9nPwP4z+I3/BVD4+ftN+NPCeqWGk+E/C/h/4b/D+61LT5YEvYFR9W1S5tzIoEsTXN3bw+YmVLWZGcqaAPq+iiigArwL41f8ABTD9kj9n79qHwz+yD8S/Gep23jHxQ+npara+H7q4sbJ7+eS3sEu7uNDFatczRSRxCRgXZSBXvtflB/wUj+Dfxx8Vf8Fmvh/438O/Anx1q80eofDtvAOs6BoUk3hmW1tNav5tffXZVHlebbWssctoZzujd90PzE0Afq/RRRQB/9k=", 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r2eq229D9h4s8QMBnPCuSYClg1CeEpOEpae81yq8bK9ny88r/AG5P1fN/BbwkfA/wt0bwyxl3QWxdhPjeGkdpCDgDGC5GPauooor72hSVCjGmvspL7lY/IJyc5uXc/I3/AIOqPEfxYtfB3wn8K6fLep4Ivb/UZ9VESf6PLqcaRC2EjD+IRPcFVPXLkZxxn/8ABMz4s+Mrz9iLwn8Rfi58VLmzn034iW9tD4hv9Uiha3sbe2hgtommf5VQRIkOG5KnHcGv1R+Ov7PvwX/aa8ASfC749fDvT/E+gS3UVy2m6kjFBNGSUkUqQysMkZBHDEdCRXhV3oOieHf2oofDWg6Tb2en2PjzS7ezsreIJFDEmgwKiKo4CqoAAHQCvhOIcmrvMY4pVbKpOnFLW6e1/la6829uv68uPsBjPDXCcMxwiVXDzqVJVNLST5ml3u+e0r6WhHe9o+4/AXVde1jwN9t1y5lnDXT/AGSeZizSRYBzk9RnODXa0AADAFFfbYHDSweEhRlJycVa76n5JXqKtWlNK1+gVh/E278V2Hw28Q33gO3MuuQ6HdyaLEsYcvdiFzCu08NlwoweDW5RXTJc0WhUpqnVjNpOzTs9n5PyP5+P+Dfrxh8etQ/4KvC+lm1W7m13Stbf4l3F3AXkaMq0zSXBYZRjfLbAtwd7bf4jX9A9fHv7HPwT+E3w9/a51/4k+CfANhpuveLF8VS+I9Vt1bzr911mEguWJA5YnC4BJyRwK+wq+a4ToujlkouTfvy38nb9L+rP0zxb4xwfHHFMMww2H9jFUacLaXbSbbdtNOblj/djHbZcz8ab7xvpfwc8Wan8M7Z5vElv4Zv5fD8McIkZ75bdzAoVuGJkCDB4PSv52/8Agkd8Z/id4Z/bdvZPEHx11nwlaeJbLUJfHmqPrsdk91KqySoZ5LjgyfaWXtvy7DozV/SVXx1+w98DfhD8O/2mdc8deCfh5p2m6z4s03xDdeJNRhjYy38w1i3IZyxOOXY4XAy3SubiTB1cXjsJGFRwbclddNL3Wq7WN+BON8Dw1wjnWWV8KqssVCKjJ20s2vev0XNzRttNLvdS/ASPwb8WfGto3hb4uyeNJ7fXbG91TVl1+DUZ4xbSrNFHI8Xyon7sgAgE7mwcnj7ApscMMOfKiVc9dq4p1evk2VSyqlOMqrqOTu2/RLu/zPzTGYtYucWo8qStYK574q2+lXHw+1RdZbbCtsWVgoJVx9wgHvuxXQ14n+2B8VG8MeE7jR9GsJb67tIhObKIc3M7YW3twcE5eRlHTjINVnmKp4TK6kpK/MuVLu5aJf10FgaUq2KilpZ3b7JHnf7KPiHwt40/a41231GFzdeF/DTWvh15IozFLM8sTak8bby2+MPYRH5F273GTuIH1hXydefA7W/2cb34fapoV0t1qug3SX+p3Tug/tGS43Lqy7zEAPNM0kqgBfnWLJUDI+sI5ElRZY2DKwBVgcgivP4XfsMHLBTVqlJ2a731T+f6HTmi56yrxd4zWny3Qtfht/wdGeKPi6P2rPAPhrVLm/i8G2ngz7Z4dUKVt21FrmVbt1YfekVEtAe6grjG7n9ya+Vf+ClfwR+EvxvvPB2l/FzwDYeILbStK1y/0+DUFYpDcoLMLJgEZwCRg5BzyDV8V03UyOq07Ws/XVaH2nhPxZhOC+NqGZ4mh7WCjONlbmXNFrmjfS/T/C2fPn7LPx2sfiL8Afh/ffG/9sS71fxHqOjafcav4f1fx1ZFZr35HjR4Fw+8OI2CZzuAzk5Ffef7O3hJvCfw5CyCYPqOo3N+6TDBUyvnAGBxgAjPrW18MbW2Pw38PSG2j3f2HaHOwdfJSugqcpyGtgMX9Zq4h1G48uq2Tae7b7HyWcZvTzKtUlToxpKU3K0dldvRKy0V7LyQVyPx48I/Bfx38INf8KftE2Wi3Hgm7sSPEUfiG4WKyECsH3SyOyhArKrBsjaVBBBArrq/OP8A4ObfEnxY0X9hbRNL8Dy3sfh7VPGtvB4ye0TKNAsUkkCTMOVjM6IfQuqA84B9fM8VHB5fUrSjzKKenf18u/kd/A+R1eJOLsFltKt7GVWpFKezjbW8dve093Ve9bVH3n8HPB3wf8H/AAq8P+GfgdpWjQ+D7PSoU8OJojpLaG025jaJ1JEisDu35O7O7JJzXUKqqAqqAB0AFfi3/wAEavjzrEP7IreHvif+1/qvhe10bxJcWnhfR28a2lisVjsjkO2OUFyvnyTYJ46gcCv1a/Zp8Wax4z8OXevXGunVNOuWjl07UROJUnDqSWjcfKyEbSCvHPFeHlXE+FzHEU8NClKLa8uVWV9PLotF0OvjXhbE8NcQY3CVa6qulUkue7vLXd3+1r7yu7O+r3PS68P/AOClfiP4seEf2Cvit4k+Bz3qeJ7PwddPp0umx7riJcATSRjqHWEyMCOQVyOQK9wqj4mLDw3qBXqLGXH/AHwa+lr03VoSgna6av2utz5nK8ZHLszoYuUFNU5xk4vaXLJPlfk7Wfkfz4/8EMvjB4m8GfEjxn4M1T9obUfBHhG40RL64SDxJb6fFPqKzRxxHMwOW8ozZC9Qo3fdWv14/ZWsPCnj/wAdaX4t8I/EA+KIdJ1G5vb3XYtWivjcXLWsluRNNHlSwSZflGCAq9gc5n/BMX4F/B74JDX9F+E3w703QrXU/C3h+/1CKyjY/aLl/toaRi5JJwAMZwOwFfWscUcQ2xRqo9FGK+C4fyGticNh8XLES5YvmUOl4t7a2/Dqfo3ihxvg+LOLcVj8NhvZxqKMdbcztBK8raNv12S7DqKKK/Qj8qP5p/2ffi58f9K/4K1/8Jt8UPiLqvhjxbqHj6+tPG+r3F3FZT2kLO6XUbPKNkKrGpQDooVQvRa/SL4+2P7MfxC8A+Kvir4j+NFv408U+HfC0j6D4kufFNvqWp6DNG/m2j2Pln9xMbzydhVd8sgjjJYEJXuHw8+B/wAI9J/4KC3Xxv0/4f6fF4u1jxpqtlqWvbGM89uulyhYzklQMRp90AnaM5pn/BRH4G/CD4lfFzS/F/j34e6dqup+FPBz3nh27u42JsJzdE+YgBCk5RCNwOCoIxX5LVymusur1vby5Y1XHl1s3zJc2++t9um5/QHE3iRlvEnFWX42jhnhlSoQi/Z25m4pycFqlyX9xXekdXF/AfVPwlvPGOo/CrwzqHxFtmh8QT+H7KTXYWjCGO8aBDMpUcKRIWGBwK6Ciiv1mK5YpH4HWqKrVlNJK7bstlfovJH55ftj/E+fwx4//aWv/iT8QbvRrzRvDdkPCHnvFG1tph0oNaz2aPxKX1OS8Tdg7pUWPnAWug+Cnx5s7620OG4/bFvNe8QahpMMd1ok/jmzuTJdNErSqkMQDFwwbAU8YNfWPxJ/Zh/Z/wDjB8R/C3xe+J3wn0jWvEvgqczeFtYvYC02nyFlfchBwcMqsu4HawyMHmu4W1tUbeltGCOhCCvjK3C2NrYutVjinBTk3ZX2fR6rbZeR9hj+IsprYDD06OH/AHkYxU21FJOMIwSi1dtS5XOTaT5pWs7c0qXhCbVrjwrp0+uoVvHs4zcBhg7tozkdj6+9aNFFfY0oOnTjBu9kld9fM+NlLmk3a1wrxbV/h+2sftNw6k2myW/k6nFqsk0KnE5jtPIVmJyOgVOMfcHvXtNFcWYYBY/2V5W5Jxn626G2HxDw/NZX5k194UUUV6BzhRRRQB4v8F/h+bD42ap4jbTJLMadDqEIhjUiLfd3UUznLckkx7hg9HJ7ivaKKK8/LMAstw3sVLm1bu/N3OjFYh4mrztW0S+45f43X/jnSvgv4v1T4YWzzeJbbwvqEvh2GKESNJfLbSGBQrcMTIEGDwelfm9Z/G/wt4bufgDY+FP2mb7QItX8NX7+INTXxBa21zdWf2FGklupZsmOU6jHCrDgmXzlI+Rgv6k1wPws/Zb/AGefgl4y8U/EL4UfCPRtC1rxtffbPFOo2NtiTUZ98j73ySB88sjYXAJcnGa83O8lxGa16M6dZ0+S+1769Vqtem+x9HkWd5Zl2W4ijiaPPOV3DSNm3GULTb1Sjzc8LJ+8rNK/NHyH9l34pv4w8T2uk+CfjnP44t7a7P8AaM7+IYdQMCOudsjQ8KPkyu4ZznB5NfTlNjhhhz5USrnrtXFOrtyjLauW0ZQqVnUbd7v0Stu+3c+fxeJhiZqUYKNlbT+kFcxe/C7Sb34iQ/EKS7fzIkG622Da0gXar568Dt6gfQ9PRXbiMLh8UoqrG/K1JeTWzMKdWpSbcHa6t8mc18Rvhpp3xGgtIr2/kt2tJiweNAxZGxuXnpnA57ehrooIYraBLeFdqRoFRR2AGBT6KcMLh6VedaMbSna7722CVWpKmoN6Lb5hXxr+1X41i0j9s3WrH4r+LpNL8OWPwhhufDi30yQWhR7u5/tedGYgPKixaeHznYjIeA/P2VXCfHL9mL4AftL2+i2nx5+FGkeKY/DuqLqOipqsBcWtwBjcMEZBGMocq2BkHArgzvLqma5fLDwlyttPy0ez/rc9nh7MMBl+OlLGxbpyi4txSc46ppx5mle65Xqvdcj4c/ZD/aNh1D4OeAta8Z/tq6hdeILrRLYXOi6j42sV82WRNqRvbKAyuVZPkGCGwOoxX358J7vXL3wDp9z4haRrlkb55s72TcdpbPOduPrW99ktQ24W0ec9dgqSuTKskxOXYl1auJlU0tZ3stU76t9jLNc0oZjVnOnQjTUpOVo7JNv3VotFe3yCuf8Aip8K/h38bvh9qnwq+LPhGz17w7rVuIdU0m/QtFcIGDAHBBBDKrAgggqCCCK6CivoJRjOLjJXTPLo1quHqxq0pOMotNNOzTWqaa1TT1TWxg/Dr4X/AA9+EvgbSvhp8NvCFjo+g6JZJaaVplnCBHbwqOFGck+pJJJJJJJJNbqqqgKqgAdABS0URjGKSSskKrVqV6kqlSTlKTbbbu23q2292+rCvHP+Cg2uePfDf7F3xE1v4a3mo22qweHnJu9Hh8y7trUugupoR/z0S2MzqRkgqCOQK9jpJI45Y2ilQMrAhlYZBB7Gs69N1qEqadrpq/a63OrLsVDAZhRxMoKapzjJxe0lFp2e+jtZ6M/NfWvjf4M8O/tQaT4R8I/tRv4V8OyfC0XN+ukeKrO1t5SLuL+zG82TcXLQS3jKoOCm1+hBP1R+yZ8R7rxxqkKeG/itL4x0m2t5YbvVG1iO+G8HcA8sXyeYC4GODtI9BXonwI/Ze/Z8/Zj8PX/hT4BfCXR/C2nanqT6hf2ul2+1ZrhlVS53En7qqAo+VQOAK7uOKOIbYo1UeijFfJZbwvjMHOlKeKdoO/Kr8vpv166dz3M7znK8VVcMFR9xRUVKSSnLq5SUbq93ZJSdkkruw6iiivsj5Y/Kq4+N+raB8IfhfrHij46X/hzx7qvxakh8Z3cupW1pewXhnuxrME3m5FvHDG7qMAbFFuB99d3vPgCbwJ8atauvC2gfHqbxzqWoWyWtxM3ii31G5s7Yvg7REMRpliSWGM96+n/D37Lv7PfhT44a1+0n4d+EmjWnjrxFZLaa14mit/8ASbuECMbWOcDPkxZIALbFyTiu6jt4IjuihRT6qoFfC0+D8VZxqYp8rleyTs9b3eu79Hr3Pt884lyvG11UwWH5b8zbaimpTbbjHlv7kPhjs2ru0b8qfRRRX3R8QFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXj/7Zv7dX7OX7BHw+0/4k/tHeKL6xsdW1Q2GmWukaNcahd3MqwyTyskFujSFIoIZZpHxtRI2YkV7BXwP/AMFuPDnxL0DxF8G/2j/B/wAFvFfj3SPB6+NdG1zQ/BeiSalfJNrfhm70+ym+zx5YxfaSkTv0jWfceAaAPunwr4o8PeOPC+m+NfCOsQajpOsWEN7peoWr7orm3lQSRyoe6sjKwPoav15F/wAE/wD4TeM/gN+wt8HPgn8RY9mv+E/hhoWk63FvDeVd29hDFLHkcEK6sue+2vXaACuZ+M3xe8DfAL4Va/8AGf4l39xbaD4b02S+1Oa0sZbmURIMkRxRKzyOTgKqgkkgCumrkPj98QNK+FfwT8U/EPW9E1rUrXSdEuJ57Dw5o02o304CEbYLaBWkmc54RQSaAIv2dvj58Of2pPgd4X/aH+EV9dXPhnxfpEWpaJPe2b28rwSfdLxv8yHjoea7SvkX/ghTr2pXv/BLX4UeDfEHw+8W+GNY8H+H49B1zSfGXhe60m6S7gVWcpFcojSRfvBtlA2sQwByDj66oAKSSRIo2lkYBVBLE9hS0kjiONpGBIUEkAZJoA8S/ZK/4KFfsx/tr+I/Fvg74GeItYfVvBUtt/bel+IPDd5pdx9nuQ5tryKO6jRpraYRyGOZQVbacds+3V8Bf8Eh/izqH7T37UHx7/aw+K/wg+I3g7xz4qvLHS9M0Hxj8PdQ0i00jwrp0tzDptvFc3MSR3dzM0lxdz+WSENwiDhMn79oAKKKKAPEbr/goV+zRp/7Y9l+wtqWs67a+O9TimOltdeF7yPS76eG1W8ltIb9oxby3CW7LK0SuWVTzg8V7dX57fGfTvFPxN/4Lo/B3xT8Lvg/8XI73wDb61ZfEPWvEulXH/CGR6FNpDmC702WQtbi9ku5YYS8G2YrHIkg2qK/QmgAooooA8s/aw/bL+AX7FXhPw74y/aA8VS6ZaeK/GNh4X0FLaze4lu9SvHKwxKiAnHyszN0VVJNep1+X3/Bwf8ABL9tj4k+JvAXxA+Bf7Ly/E3wp4Tl0ZrOG08TC1utK1yTxPpcr3H2VYJZLhWtrRLczDattFc3MrblVlr9O9OmvbjT4J9Rs1t7h4Vae3WXeInIBZQ2BuwcjOBnFAE1FFFAHmn7WH7V3wr/AGNPhQPjF8XrbXrjTZNastJtbLwxoE+qX93eXcwhghhtrdWkld3YKAoJ5rqfhJ8S9H+Mnw00T4p+H9E1vTbLXdPS7trDxJo02nX8CMOEntp1WSBx3RwCK8K/4Kw+EPhD4y/ZQ+yfHHwd8XdY8P2PivTNRkPwPtbiXxDY3FvKZbe6hFt+/VUmWPLw/OpKnhQxGp/wSmX9pNP+Cd/wnX9rxtZPxC/4Rhf7ePiRs6lt86T7N9rPX7T9m8jzc8+ZvzzmgD6DooooArazrGleHtIu/EGu6hDaWNjbSXF5d3EgWOGJFLO7MeAoUEk9gK8u/ZB/bY+A/wC3J4EvviT+z/f63c6RZX4t1udb8NXem/a0aNZIrq3FzGhntpUYNHMmUcZweCKu/trfDXxf8Z/2N/iz8H/h8R/b3ir4aa7pGiZfaDd3OnzwwjJ6fO6818f/APBvR4a/aH8I/Bbxv4e+Jum/Fmx8F2Nx4etPBWnfGVZ11S1votDtY9bjgW4/eJYLqCusCj90FVvL+TFAH6G0UUUAFfPnwj/4KXfs8/GT9rLVP2LNE8NfEHSPHGmWOo33leKfh9qGmWd7a2VyltPcW1zcRrHcReZIgWSMlXDAgnIr6Dr5Q/Zz8D+M/iN/wVQ+Pn7TfjTwnqlhpPhPwv4f+G/w/utS0+WBL2BUfVtUubcyKBLE1zd28PmJlS1mRnKmgD6vooooAK8C+NX/AAUw/ZI/Z+/ah8M/sg/Evxnqdt4x8UPp6Wq2vh+6uLGye/nkt7BLu7jQxWrXM0UkcQkYF2UgV77X5Qf8FI/g38cfFX/BZr4f+N/DvwJ8davNHqHw7bwDrOgaFJN4ZltbTWr+bX312VR5Xm21rLHLaGc7o3fdD8xNAH6v0UUUAf/Z", "info": {"equation": "2+12*2=26", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "2+12*2=26", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "d47a17c06d1f18335a0cec4fb87dc037bab5ad46dd20708988c4c4cbc755af6d"} +{"episode": 944, "episode_seed": 2425629771, "split": "train", "timestamp": "2025-10-28T03:42:50.357328", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2425629771, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [1, 4, 2, 7])", "action": "('move', [1, 4, 2, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "35+94=129", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "35+94=129", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "3d18bcbefe850536fdb29a6500b932ff369c67b624567efc027e44298092f916"} +{"episode": 945, "episode_seed": 252349123, "split": "train", "timestamp": "2025-10-28T03:42:50.394250", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 252349123, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 0, 1, 8])", "action": "('move', [2, 0, 1, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "2*11=22", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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Q/E/xZ45u7Tw78KYnfV9avY9F8J+amFhupwxe8k+R8RwxpJOwIOVgxjLYrK+MH7M4+CXh7wxoHwXufsl14Skt7/wbqN+6lheQqUmE7iJuLhJJklZUJK3DkDNfmmLxcKucvNoQUqNOUYN9+jl52urfI+mo0XDBfVJStOSbS7eX9eZ9c0Vm+EPEcXi7wvYeJYrRrf7bapK9s8iu0LEfNGSpIJU5UkHGRWlX6TCcKkFOLunqn5M+alFxk090FFFFUI8m/bu8QfGTwp+xv8SfEn7PkV43jSy8I3kvh7+zrcS3CzhD80SHO5wu4qME5AwCcCv58P8Agjv4q+Ntn/wU1+GGq/Cp7+91TUvFKQ+JJEh+0PLpUr/8TGSUvn5RAZHLk5BUEHOM/wBNFfn/APsV/s6fAz4Z/Hn4ffFbwF8MNM0vxJ4kvdTbXNZt0cz3ZexvZHyWYhQz4YhQASBxwMfGcSYaVTNsFPnavK3pqndefQ/bPDfxEy/hTg7OMrr4NVZ4iHuy0trFx5Z31cY35opdW1pe6/QCiiivsz8TCiiigD+f7/g5Q8W/HHVP2/T4S+IEuop4P0rw9ZyeALeaLZatFLBGbuaLHDublZEdj82IkU8KtfqB/wAEJNe+MXiD/gmd4Cn+MkF2ststxbeHHvbYRPJo8b7bRgAAWTYMIxGWRVPIwTp/8FDv2fvgt+0N8WPhz4d+Nvw50/xJY6foeu3Nlbahv2xTG40pS42Mp+6SMHI56V7B+xha2th+yn4BsLG2jhgg8NW8cEMKBUjRVwqqo4AAAAA4AFfGZZhpUuLMW3NvRP8A8Cs7fLZH7XxZ4iZfnvhXlXD9LBqFTDv3p6W91SjeNtb1L81S9ve/mvdenUUUV9mfih4l8dPgb+wN46/aC8HeNv2g/DfgG4+JNq0K+C38QahDFqM5jmLxLDC0im42yklRtfDE45Ne0mztCcm1j/74FfzIf8FX/iB+0LqX/BST4ka58YtV1i017QvF88Hhl5t0EllpcM7NpzW+3GxPJMcqsv3mcvncxNfqb+zd+0lP4g+BHgrxT8Yf28dTt/FV54es7nxBaT/ELT4dl0yBnVogvyc9V7dOK+Ghxhg8Piq0J0GrSteKV3bS8ttfvP3Lj3wtzHhvhjKcdUzFV1WhpBt2p3Snalq7w11aUdbO3vafpKqqg2qoAHQAUteVfs2+L/EfjIXusy602p6TdQJcWt+J/NikZ/mBicZVlZTn5TjG3HXn1Wvqssx8MzwccRGLinfR+TsfiuKw8sLWdNu9gr84/wDg5k8XfHLw3+xNoumfDWfUYPC+reKFtvHs9hH8pttm63imccpE8wGf4WYIpPIB/RyvIP28vDWg+M/2U/FHhHxTpcd9pmqSafaahZzZ2TwyahbK6HBBwVJHBB5qM4ouvlVaClb3XqvLX8dn5H0XBGe0eGeLsFmlaiqsaVRScX16XV9OZX5ovpJJn4m/8ENfjf438J+L/F/w61v9pDVPBXgYaV/aIt4vE1vp8EmqtLDGrKZwcsYVkyE6hF3dFr9MfBGp+Avijfarpfhb41nx1rGoactndXJ8SQaldw237xUQeT9xA00jDK/ec8npXef8E7/gl8JPgZ4m8feAvhF8P9O0DR1g0i4+w2MZ2mV/tm52LEszEKoySeFA6ACvqGOCCI5ihRSepVQK+Iy3hqvmWVU5yxUlCWvLZtKz/wAVvwPrPEfjnBcS8Z4nMsNhFTUrJbcztFLmlZfE+tm+13uUfCGhR+FvCel+GYpHddO06C1V3ILMI41QE44zx2rRoor9ISsrH5U3dhX8qHxu+Mf7VWm/tn698YfiN4o13Svizp3jB5rq+l/cXdjfxSbERV6IqBVRUHyBAFGVr+q+vgL4+/s4/AvX/wBrTxj8f9c+F2l3XjPTviV4dhsPEM8bNPAiw6Kq7QW2ZCuwDbcjPBzivjuMsPKrh6ElNq00v/AuvqraerP2jwa8Qcv4CxWYPFYRV/bUrLa6cW/dd/8Al3Pm9/d+7HRlPR/jH8O/EfgqwsPiZ+25NqTXelwDXtH1L4jWDW9xI0amaGRExlC24FQRxxmvqf8AZf8ABpttd174ku02dVsLKxj3AeW6QSXMm9eMnJuSCckfKPQ1699is/8An0i/79ipAAOAK6cBw3WwmYQxVbEyqOKdk13Vt3Jn5bi80hiKMqcKSgpO+m299rBRRRX1J5B8TfHnxjr0X/BRvV/D/wAT/EdzZaXZ/De0k+GlheSLDZ3QkllbV5oiSPOnQw2gccmOLnAU5Pin7MH7RWh6va+PE1H9t3UtJ0O0+Jurw+DbZPGun2UZ03dG5aJCuXi+1PdhJDnegUgkYJ/QT9ob9lj9nr9q/wAMWfg39on4UaV4r07Tr37XY2+pI2bebYULo6MrLlWIIBweMg4GOv8ADvhLwv4S8P2PhTwx4es7DTNMs4rTTrC0t1SK2gjUJHGigYVVUAADgAV8ZieGMZXzOriYYlwUu17+j1Wi6H3VfiXJZ5LCjHDXrcsISuoqEVBW54PWTnUsnO6Vnzay5ly+FfszfEvVfHWs6bL4U+Jsni3S4o2trvU11VL1HCKcl5IvkMgJGTwSSM19DU2OOOJdsUaqPRRinV72UZdVyzDunUquo227vz6bv8z4/GYmOJqKUYKOlrIKZcQQ3UD21wgaORCrqe4IwRT6K9RpNWZy7HH/AA9+D2k/D/WLnWLfUpbl5UMcAkjC+VGSDjjqeOvHHar3xI+HVj8RdKisbi9a2mt5S8Fwse7GRggjIyDx3HIH49FRXBHKsvhgnhI017N7rX13vf8AHQ6HisQ66rOXvLqZ/hbw7ZeE9AtvD2nMzRWybQ743MSSSTjuSSa0KKK7adOFGmqcFZJWS7JGMpSnJyluwoooqyRHLhCYwC2PlB9a+efgr8KEj+LGkXMekTadD4Slupo7WFCIo2kglgEZ3AnGJmYc5OAeRmvoejA9K8rH5XHHYqhWc2vZO9u+33bHVh8U6FKpBK/MregUUUV6pyhRRRQB5D+0xoUt1r+g+Io9EEslpb3Ftb3aIzOvnPCzxccYYwxEdyV4rtvgn4JT4cfCTw94GjkmYaZpUUObgjfwOc4AGefSuoorysPlccPmlbG87bqJK3ay7/I6qmKdTCwo2+G+vqFFFFeqcp5l8Uf2NP2WvjV8V9C+OXxW+B+g674t8NeV/YmuX9sWmtvKkMsY4IDhJCWUOGAJOMZr0k2doTk2sf8A3wKkoqI0qcJOUYpN76b+vc6q+OxuKpU6VarKUaatFOTait7RTdoq+tlYRVVBtVQAOgApaKKs5Qr5T/4Kf+KvEfh24+ENlquu3elfD6++IQHju/hZY7ffHbyS6bFdSkjyrd71IQSSFZgik8gN9WVjfEP4e+CPix4H1X4a/EnwxZ61oOt2T2mq6XfxB4rmFxhlYfqCMEEAgggGuLMsJPHYGpQjLlcla/8AXTo/I9fIsfh8szWniK8OeC5k1pe0ouPNG+nNG/NG+nMkfnHr3x103Q/269V8F2H7Ud34U0WH4bQyeJ7ax8S2djDHqyXxW1RnkBYzG3e5LR5+VRGxA3Ln3b4P/GYeILpvD/w6/aOuvGt5HcLcGIeJ4NRmizhACIORGfRhjJNfRPwL/Zx+Bn7M/gNfhl8B/hjpfhnQlvJLo6fp0J2vPJjfIzMSzsQqjLEnCqOgAHZxwQRHMUKKT1KqBXydDhHHQoxg8ZJJdFey9PeX5fI9fNs+yuvil9Uw/uRiopySUpW3lJK6Tb6KTsrLmdrsgMzQI1woEhQeYF6A45xT6KK+4Ssj5EK/J69+NGpaJ/wT18c/EP4p/FW+0v4oC61SbxLcX00MepWPi5Ll2t7VYGyEKSQW6QxBcfZ4kZQVG4/rDXmWrfsZ/sta7+0FbftVax8D9BuPiFZoi2/imS2JuFKxGJWIztZ1jO0OVLABQCNox8/xBk1fOIUlTqcnK7/8H1VtPV6o+v4WzvKMqjVhj6LmnKE1yqLbdPn/AHb5rWhU5/eau1yxfJLY+UPh/wDtEeGrDSND1zxL+3hcy6pFZWs2pWd58RtOaFrjy1MqOgGCu/cCoOO2a+uv2edY8Uax4fu59cup7i1EymxuLhixfIJYBj95c459SR2rvvsVn/z6Rf8AfsVIABwBWWXZBisFjY16mKlUST0d+vrJ+vrY8XGZlSxNOUY0Ywu76dPTT5BRRRX0x5QUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFQaraS6hplzYQ3LQvPA8aTJ1jLKQGHuM5oA+eP2d/+Crv7EX7Uv7Qmp/sy/Bv4nXd94lsFvmsZLrQrq2sNbWym8m8OnXcqCG9EEh2yeUzbeTyATX0dX4qf8Erf2b/2mbD9on9kL9njxj+zf448KXn7JNl8SI/ih4u1vw/LbaRftqtzMtiunXjfJfi4Eqyt5ZO0A7ulftXQAUUUUAFeG/ts/wDBRP8AZg/4J+aV4c1b9pLxFq9knirU/sOkR6P4eub9i++KMvIYUZYYw80K73KgtIoGScV7lX59/wDBx/4t1aX9g2L4KeD/AIR+P/F3iDxX4u0a80228D+Br7WFhh07VrG6uTcPaxuLf90GKb8eYVYLnBwAfoGrBlDDoRkUtc18Hfibovxm+F+h/FPw5out6bY67p6XVrY+JNFm06/gRuiz206rJC/HKOARXS0AFFFFAFDxV4n0PwT4X1Lxn4nvxa6ZpFhNe6jdMjMIYIkMkj4UEnCqTgAnjgV4f+yB/wAFMv2Uv23vHHiT4YfBXXvEFt4m8K2cF9qvh3xd4SvtGvfsM5xDeRw3kUbSQPxiQDHzL6jPtXjnxTB4G8E6x42utIv9Qi0fSri+ksNKtGnurlYo2kMUMS8ySMF2qg5ZiAOtfnL/AMEZvijrH7Vf7ZfxY/bW/aM+DfxN8H/FnxnoCabo/hrxR8M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"info": {"equation": "2*11=22", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "2d10228b9ed9d3add7b60aa0da8664ae2aecf73d2c70ed099e8a12f55652ad87"} +{"episode": 946, "episode_seed": 3067128060, "split": "train", "timestamp": "2025-10-28T03:42:50.440591", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3067128060, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [7, 0, 8, 5])", "action": "('move', [7, 0, 8, 5])", "reward": 0.0, "image": 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", 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", "info": {"equation": "209/11=19", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "209/11=19", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "51a52e71b9c9b939f58516b6d5bcefa956b639285cbea684b62342c89d7910aa"} +{"episode": 947, "episode_seed": 894966110, "split": "train", "timestamp": "2025-10-28T03:42:50.487374", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 894966110, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 1, 2, 8])", "action": "('move', [4, 1, 2, 8])", "reward": 0.0, "image": 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k3b5XPyN/4OqfEfxYtfB/wn8LafLep4IvL/UZ9VEUf+jy6nGkQthIw/iET3BVT1BcjOOKf/BPL4oeG/Hn/BP/AMLeBf2iP2sru0tZ9LudKuvCd547tLGB9JSV4YbZ4gVkWJoFCEFgWQ8nmv1N+Ov7PvwX/aa8ASfC749fDvT/ABPoEt1FctpupIxQTRklJFKkMrDJGQRwxHQkVmftAeDvCmn/ALLPjXwfYeHbODSoPAGo2UOnwwBYo7cWUkYiVR0UJ8oA6CvnMz4dxWJx1XFwxDgpRWivfRap6rTS/wA3offy8RcBU8O8v4bjhLVcPWlUdVW2bk049eb3rPVaQjZ/y+Bf8E4/DnhbwF+0D8W/AnwY0Sy07wRFp+hXl3YaNZxR2Ftr8iXKXKxmMYEjWkWnvJGPu5RsDfz9g186f8E7/hB8MPgZ4d8ZfD34Q+CbLw/osOv288en2Cts82SyhLuSxLMxwOSTwAOgAr6Lr1OGYOGR0Fe+l/vbf4Hw3FeOp5hntWtTu1aMby+KXLCMeaVm7Sla7V5WvbmluyvD/wBs/wCJd/4X8LpoXh21F1qTmMWFllf9Jvp5Bb2cHzMo+aaRQQSOCDmvaNV1Oz0XTZ9W1CXZBbRNJK3ooGT9TXzr4KsLz45ftX2+uajaudK8IwHXLgSbdrXs4ktrCLBQ7vLiW6kJDKVcQnnPGWf1HiFTy6D96q9fKC1k/wALfeefl8VTcsTLaC09Xse1fBX4Y6b8GvhXofw00yYTDSrFUubvyghu7liXnuGAJw8srSSNyfmc11FFFfQQhGnBRirJaHnNuTuwoooqhH87f7dvjr9qV/8AgulqGrWyarJ4y0j4oafa+BLU2gZhZJNH9gSKM/K0bxMrejeY7NyzV/RJXx18fPgn8JfEX7eGnfG3XfANhd+LND1jwraaPrsysZrSF7wblTnaM+Y/OM/McGvsWvmOHqDo4rGXk3+86+l/v1/A/U/EfjXB8W5bk9ChhlReFw6pyat7z0WlvsLlvFPVOUvVlfzgft3fFD9onRv+C0/ifxf4h8Uano/ibR/idHaeHL6Vkgex0tZRHZtEX+RIzaMjhjwRIXPLE1/R/Xxv8Zfgj8Jdb/b4tvjhrHgDT7nxbpXiPw5ZabrsyM01vbt5e5FGdoz5jjOM4YjNRxXh5YjC0VGbj+8itPPS/qt0V4VcbYLgrHY6ricKq6rYedNJ20bs7O/2JbTW9raO1jzPx9pf7I3x4aSP41/HHSfiTa6Tpd80Nr4q8aWmoRabbPGBc3McaFRGwjUZnI3RgEqy5JP1p/wT/wBU8c6z+xX8M9S+I7XratJ4StfMk1K1ENxJCFxbySoAArtAImYYHJOQDxXnn/BR/wCBfwf+N8ngvw98W/h5p2v2Niuq31paX0bbEuEigCvhSN2AzDByDnkGvffgr/yRzwlwP+RZsOg/6d4658hwNXBZ1iYVKrm1GGr6317va1lqfNZnm9LEcMUMKuZvncrO3LTUeZWp6v43LmnpFXjH4t101eV/tR/Cj9j/AOKNl4Xi/a50TwfdwWPiOJ/Cf/CW3sUCnUmB2RwmR1813A/1XzB9oypwMeqV+G3/AAdGeKPi6P2rPAPhnU7q/i8G2vgz7Z4cUKVgbUWuZVu3Vh96RUS0B7qCuMbufbzzHwy7LpVpQ51dKz21fX+t7Hq+FfCmI4z4zo5dRxTw0nGcvaRvzLli9I2au3s9V7vM+lj9xfslqG3C2jznrsFSV+b37Hf7S19rnwT+H3iX4nftr6hd+LtQ8P2jato2o+O7I+bdSx7fLeAAPuO4fLndux3r7/8AhPd65e+AdPufELSNcsjfPNneybjtLZ5ztx9a5cq4iw2b4l0aVOSsr3du6VtG+58pm+S1snr1KVScZck3C8XdOzauvJ20Oir84/8Ag5t8R/FjRf2FtE0rwPLex+HtU8a28HjJ7RMo0CxSSQJMw5WMzoh9C6oDzgH9HK8h/br8EeE/iV+zPrHgHx5oMOqaNq2raPb6lp9xu8u4iOqWuVbaQccDoRXbnVN1corxTt7r/BX/AB2PR4Gzyhw1xhgczrUvaRpVIyce62ur6cyvzR/vJH5b/wDBGz48aun7Ib+HPij+1/qvhe10fxHc2fhjRz41tLFYrDy45DsjlBfb58k2CeOoHAFfpz+yB4X0SOK98c+G7hZdNutHsbDTJbaVZLeW3iMro0bjO8YlHzAkEYqb9hPwD4K+Hf7P0HgTwP4Ys9M0fSdf1S203T7WLEcES3kuFGcn1OSSSSSSSa9mVVUBVUADoAK8DIsirQeHxtTESklG6i1ouaOyd3tft0R28b8T4fiHiHHYuhh1SjWqSlZWvbmvrZfE95ebYteH/wDBSvxH8WPCP7BXxW8SfA571PE9n4Oun06XTY91xEuAJpIx1DrCZGBHIK5HIFe4VR8TFh4b1Ar1FjLj/vg19dXpurQlBO101ftdbny2V4yOXZnQxcoKapzjJxe0uWSfK/J2s/I/nx/4IZfGDxN4M+JHjPwZqn7Q2o+CPCNxoiX1wkHiS30+KfUVmjjiOZgct5RmyF6hRu+6tfrx+ytYeFPH/jrS/FvhH4gHxRDpOo3N7e67Fq0V8bi5a1ktyJpo8qWCTL8owQFXsDnM/wCCYvwL+D3wSGv6L8Jvh3puhWup+FvD9/qEVlGx+0XL/bQ0jFySTgAYzgdgK+tY4o4htijVR6KMV8Fw/kNbE4bD4uWIlyxfModLxb21t+HU/RvFDjfB8WcW4rH4bDezjUUY625naCV5W0bfrsl2HUUUV+hH5UfzT/s+fFz4/wCl/wDBWv8A4Tb4n/EXVvDHi3UPHt9aeONXnu4rKe0haR0uo2eUbIVWNSgHRQqhei1+j37RGjfsr/FH4b+L/iP4y+L1l478RaH4Sl/sjXr/AMS22q6horoxktTZKhxDK135W3au6WTZGdwIQ/fvh79l79nzwp8b9b/aS8O/CXR7Tx14jsltNb8TRW/+k3cIEY2sc4GRDFkgAtsGScV85/8ABRH4G/CD4lfFzS/F/j34e6dqup+FPBz3nh27u42JsJzdE+YgBCk5RCNwOCoIxX5nmfDmKwGAqVZYluPMny62d5JJvXfq9PmfvXEHiflnFfFOBxtDDSw0aNGMJcnLzNwTk4qzS9nf3Fd6R1cX8B9U/CW88Y6j8KvDOofEW2aHxBP4fspNdhaMIY7xoEMylRwpEhYYHAroKKK/S4rlikfhNaoqtWU0krtuy2V+i8kFefftI6QNT8EWlwdMFwbHVY7hX2kmA7JE3jHs5XnjDGvQaK5cfhPr2CqYfm5eZNX7FYer7CtGpa9nc5f4LeEj4H+FujeGWMu6C2LsJ8bw0jtIQcAYwXIx7V1FFFbUKSoUY019lJfcrGc5Oc3LuFYvxI0sa58Ptc0R9OW8W80m4gktXBxMrxsrJxzyCRxW1RTqw9rSlC9rpr7whLkkpdjzH9mPwm2iaHrHiKQTK2s6ikm2UYGIoUiBXjODt9+a9Ooorny/BrAYKnh078qtfuaYis8RXlUta5U17RrTxDot1od9nyrqBo3K9RkdR7jrWd8PvA9p4A8PjQ7a7a4ZpWlmnZNu9jgdOcDAA/CtyitJYXDyxKxDj76TSfkyVVqKm6aej1sFFFFdBmFFFFAHi3xG+Hx8R/tB6dKNMkiEl5pt7JdQKf3os5VmUsTkYDLtOMcMO5Br2miivPwOAWCqVpqV/aScvS6Wh0V8Q68YK1uVWCvzE/aO+MWveE/BPxj8Q+Ivite6F4+tfjYbTTZJrmCC6swuo26aTHCkvyrC+nJDKHIwUaaQnhiP07rg9W/Zf/Z91348af8AtPax8JtHuPH2l6abDT/FElvm5htyJFKA5xnbLIu4jcFcjOOK489ymtm1GnCnU5HGSd/66rofQcMZxlmUVaksbS9omk0kou8ou6hLm2pz2na7WjtK1n8seFvGPw9+IPikaPo37SkvjrVHtZodPsLjxhbajLCj4EjRRQgNkgLk4PAFfaHgvQU8K+DtJ8Lxu7LpumQWqtIQWIjjVMnHGeO1aCW1vG26O3RT6qgFPqcnyWpldWpUqVnUlO2r8r+bvueNjMbHFQjGMFFRvt5/JBXCfHH9mP4A/tLW+i2nx5+FOkeKY/DuqLqOipqsBcWtyBjeuCMgjGVOVbAyDgV3dFe3OEKkXGaTXZ6nPhcVisFXVfD1HCa2lFuLXTRqzWmhH9ktQ24W0ec9dgqSiirMAr5r/wCCiHiLXdF1P4R2F1q9zY+FL/4hGPxHPEQkMtwtjcPp0M7k/LG94sWB0aVYl5LBT9KVz/xU+FXw6+N/w+1T4U/FnwhZ694d1qAQ6ppN+haK4QMHAOCCCGVWBBBBUEEEVw5lhJ47AVKEZcrkrX/rp0fkerkmNw2X5nTr4iPNBXTsk2lKLi5RT0co35o3a95LVbn55/Cf9oHw9P48+Jum337Z99oOkad4+lg0DT7fxpY2UKJ9ktpLoRqwLOgvHuRvJOSGGeK+4f2afFmseM/Dl3r1xrp1TTrlo5dO1ETiVJw6klo3HyshG0grxzxXW/Dr4XfDz4SeBdK+Gfw28H2Oj6DolmlrpWmWcIEdvCvRRnJPckkkkkkkkk1uqqqAqqAB0AFeJlXD2LwGIp1amKlNRVuXW21u70XTTojsznNsFjq1RYagoQdknpzWikrysrc0rXlq9W9xa8c/4KDa5498N/sXfETW/hreajbarB4ecm70eHzLu2tS6C6mhH/PRLYzOpGSCoI5Ar2OkkjjljaKVAysCGVhkEHsa+kr03WoSpp2umr9rrc8vLsVDAZhRxMoKapzjJxe0lFp2e+jtZ6M/NfWvjf4M8O/tQaT4R8I/tRv4V8OyfC0XN+ukeKrO1t5SLuL+zG82TcXLQS3jKoOCm1+hBP1R+yZ8R7rxxqkKeG/itL4x0m2t5YbvVG1iO+G8HcA8sXyeYC4GODtI9BXonwI/Ze/Z8/Zj8PX/hT4BfCXR/C2nanqT6hf2ul2+1ZrhlVS53En7qqAo+VQOAK7uOKOIbYo1UeijFfJZbwvjMHOlKeKdoO/Kr8vpv166dz3M7znK8VVcMFR9xRUVKSSnLq5SUbq93ZJSdkkruw6iiivsj5YK8W/aY+Hg8c+LtO0waZIDqunHT2vbdT5mwyEsuTlRtB3DI7kngV7TRXn5ngFmWEdBy5VdO/o0zowuIeGq+0Svv8Aigooor0DnCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArx/8AbN/bq/Zy/YI+H2n/ABJ/aO8UX1jY6tqhsNMtdI0a41C7uZVhknlZILdGkKRQQyzSPjaiRsxIr2Cvgf8A4LceHPiXoHiL4N/tH+D/AILeK/HukeD18a6Nrmh+C9Ek1K+SbW/DN3p9lN9njyxi+0lInfpGs+48A0AfdPhXxR4e8ceF9N8a+EdYg1HSdYsIb3S9QtX3RXNvKgkjlQ91ZGVgfQ1fryL/AIJ//Cbxn8Bv2Fvg58E/iLHs1/wn8MNC0nW4t4byru3sIYpY8jghXVlz32167QAVzPxm+L3gb4BfCrX/AIz/ABLv7i20Hw3psl9qc1pYy3MoiQZIjiiVnkcnAVVBJJAFdNXIfH74gaV8K/gn4p+Iet6JrWpWuk6JcTz2HhzRptRvpwEI2wW0CtJM5zwigk0ARfs7fHz4c/tSfA7wv+0P8Ir66ufDPi/SItS0Se9s3t5Xgk+6Xjf5kPHQ812lfIv/AAQp17Ur3/glr8KPBviD4feLfDGseD/D8eg65pPjLwvdaTdJdwKrOUiuURpIv3g2ygbWIYA5Bx9dUAFJJIkUbSyMAqgliewpaSRxHG0jAkKCSAMk0AeJfslf8FCv2Y/21/Efi3wd8DPEWsPq3gqW2/tvS/EHhu80u4+z3Ic215FHdRo01tMI5DHMoKttOO2fbq+Av+CQ/wAWdQ/ae/ag+Pf7WHxX+EHxG8HeOfFV5Y6Xpmg+Mfh7qGkWmkeFdOluYdNt4rm5iSO7uZmkuLufyyQhuEQcJk/ftABRRRQB4jdf8FCv2aNP/bHsv2FtS1nXbXx3qcUx0trrwveR6XfTw2q3ktpDftGLeW4S3ZZWiVyyqecHivbq/Pb4z6d4p+Jv/BdH4O+Kfhd8H/i5He+AbfWrL4h614l0q4/4QyPQptIcwXemyyFrcXsl3LDCXg2zFY5EkG1RX6E0AFFFFAHln7WH7ZfwC/Yq8J+HfGX7QHiqXTLTxX4xsPC+gpbWb3Et3qV45WGJUQE4+VmZuiqpJr1Ovy+/4OD/AIJftsfEnxN4C+IHwL/ZeX4m+FPCcujNZw2niYWt1pWuSeJ9Lle4+yrBLJcK1taJbmYbVtorm5lbcqstfp3p017cafBPqNmtvcPCrT26y7xE5ALKGwN2DkZwM4oAmooooA80/aw/au+Ff7GnwoHxi+L1tr1xpsmtWWk2tl4Y0CfVL+7vLuYQwQw21urSSu7sFAUE811Pwk+Jej/GT4aaJ8U/D+ia3ptlrunpd21h4k0abTr+BGHCT206rJA47o4BFeFf8FYfCHwh8ZfsofZPjj4O+LuseH7HxXpmoyH4H2txL4hsbi3lMtvdQi2/fqqTLHl4fnUlTwoYjU/4JTL+0mn/AATv+E6/teNrJ+IX/CML/bx8SNnUtvnSfZvtZ6/afs3kebnnzN+ec0AfQdFFFAFbWdY0rw9pF34g13UIbSxsbaS4vLu4kCxwxIpZ3ZjwFCgknsBXl37IP7bHwH/bk8CX3xJ/Z/v9budIsr8W63Ot+GrvTftaNGskV1bi5jQz20qMGjmTKOM4PBFXf21vhr4v+M/7G/xZ+D/w+I/t7xV8NNd0jRMvtBu7nT54YRk9Pndea+P/APg3o8NftD+Efgt438PfE3TfizY+C7G48PWngrTvjKs66pa30Wh2setxwLcfvEsF1BXWBR+6Cq3l/JigD9DaKKKACvnz4R/8FLv2efjJ+1lqn7FmieGviDpHjjTLHUb7yvFPw+1DTLO9tbK5S2nuLa5uI1juIvMkQLJGSrhgQTkV9B18ofs5+B/GfxG/4KofHz9pvxp4T1Sw0nwn4X8P/Df4f3WpafLAl7AqPq2qXNuZFAlia5u7eHzEypazIzlTQB9X0UUUAFeBfGr/AIKYfskfs/ftQ+Gf2QfiX4z1O28Y+KH09LVbXw/dXFjZPfzyW9gl3dxoYrVrmaKSOISMC7KQK99r8oP+Ckfwb+OPir/gs18P/G/h34E+OtXmj1D4dt4B1nQNCkm8My2tprV/Nr767Ko8rzba1ljltDOd0bvuh+YmgD9X6KKKAP/Z", 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", 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", "info": {"equation": "14*16=224", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "14*16=224", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "691c735e0742baea3ba66eeef57bb99cb17aceca26eaf8afa272a91328d11f3b"} +{"episode": 948, "episode_seed": 2501200343, "split": "train", "timestamp": "2025-10-28T03:42:50.538350", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2501200343, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 0, 2, 7])", "action": "('move', [3, 0, 2, 7])", "reward": 0.0, "image": 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", 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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": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "18+11*4=62", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "70855d4622dd64c20ad6a5aeae5b31af085ed09a5f2699ce6830cbd241dbe151"} +{"episode": 949, "episode_seed": 79161223, "split": "train", "timestamp": "2025-10-28T03:42:50.580322", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 79161223, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 5, 2, 8])", "action": "('move', [6, 5, 2, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "19*7=133", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "19*7=133", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "7b309e3efdbe9595966b61a1c9fa104c8c238b7ca7742f7ddec2f0f9bca7a75e"} +{"episode": 950, "episode_seed": 2745081597, "split": "train", "timestamp": "2025-10-28T03:42:50.629785", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2745081597, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 0, 7, 1])", "action": "('move', [3, 0, 7, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "16*12=192", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "16*12=192", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "cbd2dcd80df4a9a4ccab72d17de6d0ffea910f9a5ebd6beae5a6370773131a0d"} +{"episode": 951, "episode_seed": 3020217283, "split": "train", "timestamp": "2025-10-28T03:42:50.671862", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3020217283, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 7, 4, 4])", "action": "('move', [2, 7, 4, 4])", "reward": 0.0, "image": 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", 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JEh+Rc/IsYGPlANf1DV8QeLfgH8GZv29b/wCP8/w301/Gi/FHSbJPEUiM1wsH2CxTYMnaPlJXIXOCRnBNcPFuGnXp4blm4/vFHT+919VbT1PuPCbjzAcEPM1icIq/t6Dir20av7sr/wDLufN79rv3Y6M5jxCf2bPjrrGmeG/iR+0HZfEuOzvmuNH8NeJvGlnqVsbny3UTC1XCzSLG0gBZW2hmIAPI9o/4JNE237N2uaB4caR/BGkfEbWrL4aTGNfKfRElQqIHXPnW6XLXccUhJ3Rxrywwx1/+Cinwc+F3xp+HXg74f/FXwRZa3ot146SSfT7oMEdk0zUGQ5QqwwwB4Ndf+xB4f0Pwn+zNoHhbwxpMFhpum3mqWthY2sYSO3hj1K6RI1A6AKAB9K5soy+tgeJJwqVnUap3u+t2lZ6vY+WxOc0anCLwq5ryqK0Xbkgopvmjrfnk20/dikr6ycvd9Yrw7/gpV4m+MXg39g34p+J/gE98niyy8JzyaZLpkW+5hXKiaSIdd6wmVgR8wKgjkCvcaCAwKsAQRyDX2dem61GVNO101dbq63+R8vleMjl2Z0MXKmqipzjJxltLlknyvydrPyZ/NL/wRv8AH3xM0j9svw/4C8O+J7yHw5r96Z/FGmpOPJvDb29w1s7q33mSV8qV+Ybm/h3V+yf7M3xB1T/hLtb8EeEfiG97qFp44vZrnw6mppIbFJLggBoV+aKNxl/m4JZmB9Oq+J/7KP7OX7MPgWJvgB8H9G8KHxH8QdPu9bOk25T7VKBNtJyThV3vtQYVdzYAya9H/Y6jQfCi8kCDcfF2s5bHJ/06avzbCcO4mjm8cI67TUOa8b7c/wAK1Xr69D9W8TOPsv44zqecYXC+zg1GFpW5m4x+KVrq+vKtfhjHXoerUUUV+nH42fml/wAHPXij4y6J+x14V0PwPLfxeE9X8W+T42ks4/3bhI/MtIpmHKxmVWYD7peNM8hQfl7/AIIffGnVtD+BXirwh44/aj1DwXoena/E3hzTYvFdppyO8sbtdOqyje/IhyegJwOc1+13xT+Ffw7+N3w/1T4VfFnwhZ694d1q3EOqaTfx7orhAwYA4wQQyqwIIIKggggGovhV8HPhd8D/AIf6b8K/hL4G0/QfD2jxNHpulWMOIoFZ2dsZySSzMxJJJLEkkmvk8y4dxWOzR4qniHTTilpe68lqtHvvv0P17C+JOW4fwp/1UlglKr7b2ntNLWvzc21/af8ALva3s+vQ/Paw8E/A7wf8b/g/8S/2a59M1Lx9rHxdhSTxHpF1DqOoa7ZXLuNee7nBZpo1tTLI7niF1iC7NwVv0ur4i+CfwC+C/hX9uWH43+Hfhvptp4u1v4l+J7fVNfjRjPPEI9VGzkkKP3UedoGdgzmvt2jhGhKhhKycm/3klr5WV/n1PkeLc1p5j9VhGUpuFPWU/ibk2+Vay9yH2bu7blK0b8qK/BX/AIOb/FHxkv8A9tvRPCXjCW/XwdYeEYJvB0Eke21eSVj9skQjh5DIiKxPICRjgYz+9VeRftafCH9ir4r6d4ai/bN0PwVd21jrWfCx8ZX8Vsv21wP3UJkdPMZwozFyG2jKnAx6efZdPM8udCM+V3Tu9tOj/rex7XhNxjhuBuMqeZ18M68eWceWKTmuZfFC/XSz291yPgL9j74waF8SP2IvB2g/tGftlX0dxqfhdrPXfDt38QbOzjay3SRR28ka7XjRrYRqRuDEMckEmvdv2EfCfgP4aft16/4N/Zz8P6dpnhW9+FVvd+OtP8O2cK2EGpJdxJpLsY/9XPLaPfHaMb440kIJIZvqv9o3S9Nl/Z28eWsmnwmNvBWqIyeWMFfskox9MV4h/wAE4/gX8H/gB4n8beEvgv8AD7T/AA5p11o2h3dza6erYlnaTUlMjM5ZmO1VHJ4A4r5illGIy/iDCxqYiVS6k9b6WW2rejIq8UYbGYHM60abpqvJ2pRt7Jc8r3eq1p6ciUd0nzLls/qiiiiv0A/ODx/VPg3+xJefte2XxT1fw94Ib41Jo+bGea+hGsmzEbxeatuX3Moj8xPN2EhQV3YGB64traowZLaMEdCEFfzF/tI/GP8Aap0H/gqF4p+J3iDxfrWjfEnTviLPBa37yLbz2SLKYII03fIkQtyiKD8hjPOVJJ/ZzwT8dPCZ8TR2Gg/tnXXiG7vA1vb6TcePbO685m/uRxgOX442nPWvhYcZYOhKrGVBp8z2tr5y2s++5+0eIvhpmHC1DLJ1cesQq1FNXbfJaz5Yav8Ad+97j0v72iPtyisX4eXOt3ngnTbrxEH+2PbgzGQYY8nBYHoSME+9bVfa0Kqr0I1ErcyTs91dX1PxqpD2c3Hs7BRRRWpB/Or/AMHBPiz41ap/wU08SaX8Q7jUU07R7DT4/AkM0ZSNNPaBHLwAcMGuTcZfkllKn7oA/er9lDV/ih4g/Zh+Hmu/G22uIfGN54K0ybxTFd24hlXUGtYzOHQcI3mFsqOhyK+Z/wDgpN8Bfg18XfivP4r+J3w507XNQ8LfDSS68P3N+jMbKbzrpt6qGCsd0aHDAj5Rx1r7TsSWsoWY5JiXJP0r5LJMO6We468m9Y/+TXf4bLyP17jvjvA8TcE5JldHCKlPCwcZS01aUY+7bW0rc87/AGu9ruWvmP8A4KUeJdf0EfCa1vNbutN8GXvxIjXxhdwkJAWS0nl0+K5kJHlwvfJbjkgM4jUn5gD9OV5F+3X4S8NePf2XfEPgrxjo0Wo6Vqt7pVrqNjPnZPC+p2qshwQcEE9CDXtZzSdbKq8U7e69V5K/47H5zkGLoYLN6VWvDmhdprRtKSceZX05o35o305kjy/9hzxp4w1/4x/HXTfDOqz6j4Z0yXRl0yQQxtbw6/8AYpUv7aKVfvskUWmmRCTsd2U4OQPxK/Ye8f8A7Vuof8FdPBXjK9fWbj4l3/xREfi1bm03XQWSZotUSWNhhFS2NyGGAI1Q427Rj94/+CeHww+H3wc+Gviv4d/C3wjZ6Holh41b7JptihEcZfTdPdjySSSzMSSSSTXkHgL4DfBvR/28k+PmmfDrTovGepfFLVrS+8RBWNxLALK9XZyxVRtjQEqASF5PJz8XUwkpZXlj538cV/4E7/8AktrI/YeEvEPJuF62eUVglUhiKCpwbUU7wg4XmtVy1L89RJv3kleXxH29RRRX6Ofgx/P/AP8AByh4s+NF5/wUIj8PeNLjUIvDOkeGLKTwHG6FIBHIitdTREcM5uVdWb737pB0Va+w/wBln9oK1+IP7LXg7UP2h/22r+bWtX8NxnxPo2rfECxjSYPuBhmi4YBoioZSQ2GOSDmvvr45/sn/ALOH7TF/oGp/Hr4PaL4puPC94brQZdVty5tJSULYwRuVjGmUbKttGQcV35s7QnJtYyf9wV8ZX4XxlbH1q8cU4Kbvpe/o9VotlvofsPEfiZlmdcC5TkVPAqNTBpqU9LPS3u6N+/8AHUvb30t9zyn9l3wiLE65493Ska0tpBHux5bJAJSHTjnJnIzkj5Rjoa9aoAAGAKK+ly3BLLsDDDKV+Vb7X1ufkuJrvE15VGrXCvye8cfG3xP4d/Y01Pxr4m+Lt/o3xWl+JZj1W4ubq3h1C18Q/wBtKj2nlyZWKOO3VVUYwtqiSA7fnP6w152n7Jn7N0f7QMn7VKfBvRB8Q5bL7LJ4r+zf6U0XlCLrnbu8sCPfjds+XOOK87PsnrZvGkqdTk5JX/4K8109XqfTcL53lWURqrG0faJuE42UXeVPm/dyvtTqc3vtXfur3X0+W9C+JPwx8V+K7HT4/wBq9/GV3Hcu+kaRqHji0vf3xjdPMjijwzSCN5F74V247j65+BHg5vAfwr0zw6/nBt9zdOs4AdWuLiS4KkADGDKQB1AHPNdWtraowZLaMEdCEFSVGU5FUy3FyxFWu6kpLl1XS9922eHi8fHE0VTjBRSd9P8AhkFFFFfRHnHA/tHaKus/D1GfS1uRZ6lDdBiCTAU3YkGPTOOeME1N+zv4PbwZ8MobJxMHvdQvL+RJxhlM87y4xgYHzcZ5xXcdetFebHLks2eO5tXDkt873udLxLeEVC3W9/lYKKKK9I5gooooA8J8FfDdpv2h11U6VJZro2uahqrLCpEbyXEVzGWYsDkObl34IyenAIr3aiivNyvLlltGcFLm5pOV35nTisS8TNStayS+4K/Bb/g5u8U/GW+/bc0Twn4vmv08HWHhGCfwbA8e21aSRj9rlQjh5PMRFYn5gEjHAxn96a8++Pv7Kf7On7Utpo9j+0J8IdH8WRaBfG70dNWgLfZpSAGK4IyrBV3Kcq21cg4FY57ltXNcveHpz5XdPyduj/rdI++8K+NsDwBxfTzbF0PbQUZxsrc0eZfFG+l+j1XuuR+ef7Gn7QK+P/2QfBl1+0R+21qX9s6loLR67o+qfECyhEkBkkRIpYj84DW4jDBjuIYknJNfdv7K3haGCfW/iDbO7Q6vZ2NrbMpBieKA3Dq6ED5gftJGckHAx0OfW1sbFFCJZxAAYAEYwBUoAAwBgDsK87L+HK2Dx0MTVxMqnImkmu6t1k/6sfNZ1ntLNsViKtPDxpKrOU+WO0bycuVaLRbLyCiiivqT5087v/2TP2btT/aAt/2qNQ+DmizfEK1s/stv4qe3JuUi8tovXaW8tmTeRu2nbnAAr0BbW1RgyW0YI6EIKkoqIU6dO/Kkru7t1fd+Z04jGYvFqCr1JT5IqMeZt8sVtFX2iruyWiCiiirOYKKKKAPDP2pPh3/wm/idNMXSZA2uaE2ktfWykyFHaTKZOVG3zGYcdyTkCvcYIhDAkIOQiBefYU6ivNweXRwmMr4jmu6rTt2srfM6a2JdajTp2ty3+dwr5i/4KUeJdf0AfCa1vdbutN8GXvxIiTxhdxEJAWS0nl0+K5kJHlwvfJbjkgM4jUn5gD9O1h/Er4a+A/jF4D1X4YfE/wAK2mt+H9bs2tdV0q/j3RXETdVI6g5AIIwQQCCCAa1zLCzx2BqUIy5XJWv/AF07+R2ZJjsPl2aU69eHNBXTWjdpRcbxvpzRvzRvpzJH52eGfj5o1r+1J8U/CbftdXvhjQNNTRfLsLTxZZWECau1vKl6ilwWkZYobIOCTscsvBBA+hv2YdD8I/EDxfofiPwZ43/4SK00fWLnUbrW7bVIr37TdNBPE/nTJlS5+0EkDB4Havfvg/8AA74R/AD4e2Hwo+DXgDTvD3h3TPM+w6VYQ4jiLu0jn5slizszEkkkmupjjjiXbFGqj0UYr5jB8KYihUozq4lyVNqXLZ2uuiu9PW2x6mcZ5gcVian1OhywcVFN2UmoxUeaSV0pStzSSk7N7vduooor7Q+WCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArkPj58d/hX+zF8G/EPx9+NviqLRPCvhbTmvdZ1KVGfyowQAFVQWd2YqiooJZmUAEmuvr5N/wCC3vwV+J/x5/4Js+OPB3we8JXniHXNP1PQtei8O6dHvuNUg03WLO+ntok/jkaG3k2p1Zgqjk0Aeyfsl/tefA/9tf4UH4w/AbXb2602DVrnS9TstW0qawvtMv7dgs1rdW06rJBKuVJRgDh1PQivTq+Lv+CNvhbx/qEH7QX7S/iv4a+JPB+j/GP496j4m8G6B4u0iTT9RGmCxsrRLme1kw9u8sltI2xwG2hSeor7RoAKKKKAPG/2yv28f2c/2DfC+geLf2idf1OytfEuuxaTpK6VodxfO9xIyqC4hRhFGC6Au5C5dRySBXslfDH/AAcI+LNStf8Agn/c/DXw18LPHXivWvE/i/QW02x8EeC73WHjWy1eyvZ3mFrG5hXyYJCrNgMwCjk19lfDH4gaV8V/hzofxN0LStWsLLxBpUGoWllr2lS2N7BHLGHVJ7eYLJBKAcNG4DKQQQCKAN2iiigArwL4lf8ABS/9k34RftWaF+xz8QvFOtad4s8Rajbabpt7N4Wvf7IbUbmEzW9g2o+V9mF1JGAyxb92CM4zXvtfnH+3d8a7/wCNX/BVz4Q/so/FP4K/FK3+Ffww8SaT4uXxD4e+GWp6lY+JvF0h2abC97BC0NpY2QnM88rtzJhG2rGzUAfo5RRRQAUUUUAeBfs7f8FLP2Vf2oPj94i/Zm+GOu+IYvF3hzTH1N7HxD4RvtMTUtPS5Nq17ZSXMSLd24mGzzY8qSRjI5r32vzV/YO0rxT8QP8AgtJ8RP2k/hj8FPjToHgrWPhRNYfEC7+Nej3MP2LxENXEsFhoz3RYraCIzu0dsxts7Cvav0qoAKKKKAI7q6trG1kvb24SKGGMvLLIwCooGSxJ6ADnNeU/sY/ttfs9/t9/CGf46fszeKLnWfDMGv3mjjULnT5Lbzbi2ZVkKLIAWT5gVccEGsT/AIKX/D/9oX4sfsO/ED4XfsuaJDqXjDxHpkWm2+nza4mmG5sprmKO/iS7dWW3kaza5VJCrbWZTtJGK+ev+DfLwV8e/ht+z98XPA/xt/ZXf4UQQ/H/AMUXXh7Q21Q3KfZ5rrLRQEwReZbQlVjiuVBS4QCRQo4oA++qKKKACvGv2xP26fgr+xDpvhe9+LukeL9TufGWtS6V4c0jwR4Qu9bvry5jtpLl1W3tEeQhYYpHJA4Ck9q9lr4d/wCC5Hgj4aeJ/gz4V8ReOfBP7QF/rHh681W88C6x+z5a3b6jpetvp0tvA072f7+KOQTOgYfuz8wkIU4IB9meAfGWnfETwNo3xA0jTtSs7TXNKt7+2tNY06Szu4Y5o1kVJ4JQJIZQGAaNwGVgQQCDWtXkn7BKftCR/sUfClP2sGuD8Sh4C0v/AITc3hUz/wBpfZk87zdvy+buzvxxv3V63QAUUUUAeI/Gz/goZ+zF8Av2hvDP7LfjrxHrE/jPxPBBcx6doXhq81FNLtZ7j7NBdX8tvG6WMEk+Y1klKqWB5wM17dX48/8ABRH4BftkeC/+CxuqfGr9n/SvjCuufEAfDtPhxq/gcXP/AAjPlWGovFrttr7R/uViSyeWVEn+U/aGKZfp+w1ABRRRQAV81/Av/gqp+zR8fv2nm/ZB8OeFviTofjc6Te6nb2XjT4balo8N1Z2kqxTTxS3USLJHvdQGXIJYYPNfSlfHn7JvgLxz8Vf+Cpv7RP7X/wAQfBmr6ZpfhnTdH+F3wzl1jTpbf7VY20f9o6pdQeYo8yGW9uURZUyr/ZTgnFAH2HRRRQB//9k=", 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", "info": {"equation": "58-48=10", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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a1ZfDSYxr5T6IkqFRA65863S5a7jikJO6ONeWGGOv/wAFFPg58LvjT8OvB3w/+Kvgiy1vRbrx0kk+n3QYI7JpmoMhyhVhhgDwa6/9iDw/ofhP9mbQPC3hjSYLDTdNvNUtbCxtYwkdvDHqV0iRqB0AUAD6VzZRl9bA8SThUrOo1Tvd9btKz1ex8tic5o1OEXhVzXlUVou3JBRTfNHW/PJtp+7FJX1k5e76xXh3/BSrxN8YvBv7BvxT8T/AJ75PFll4Tnk0yXTIt9zCuVE0kQ671hMrAj5gVBHIFe40EBgVYAgjkGvs69N1qMqadrpq63V1v8j5fK8ZHLszoYuVNVFTnGTjLaXLJPlfk7Wfkz+bX/gi78XfGvgH9qS68O2/xz1LwX4X1rRbiXxRdW2vQ2Mc7Qoxti8k2VLCWTAx8xDt2LV+yvwF+L7eJddh0H4d/tDXHji4ivo5pon8Twai8KthcP5GNsZCn7w/vEGvcfgX+yZ+zb+zN/bf/ChPg3onhb/hI74Xet/2XbbftUo3bSck4Vd77UGFXccAZNegxwQRHMUKKT12qBXxeE4Sx1GnGLxckk78sb23vpqvy3P0vxM8RMt444onmeFwfs4uEY+9bmdl8UrJq+vKtX7sY+ifRRRX3J+TH5pf8HPXij4y6J+x14V0PwPLfxeE9X8W+T42ks4/3bhI/MtIpmHKxmVWYD7peNM8hQfl7/gh98adW0P4FeKvCHjj9qPUPBeh6dr8TeHNNi8V2mnI7yxu106rKN78iHJ6AnA5zX7XfFP4V/Dv43fD/VPhV8WfCFnr3h3WrcQ6ppN/HuiuEDBgDjBBDKrAgggqCCCAai+FXwc+F3wP+H+m/Cv4S+BtP0Hw9o8TR6bpVjDiKBWdnbGckkszMSSSSxJJJr5PMuHcVjs0eKp4h004paXuvJarR7779D9ewviTluH8Kf8AVSWCUqvtvae00ta/NzbX9p/y72t7Pr0Pz2sPBPwO8H/G/wCD/wAS/wBmufTNS8fax8XYUk8R6RdQ6jqGu2Vy7jXnu5wWaaNbUyyO54hdYguzcFb9Lq+Ivgn8Avgv4V/blh+N/h34b6baeLtb+Jfie31TX40YzzxCPVRs5JCj91HnaBnYM5r7do4RoSoYSsnJv95Ja+Vlf59T5Hi3NaeY/VYRlKbhT1lP4m5NvlWsvch9m7u25StG/KivwV/4Ob/E/wAZL/8Abb0Twl4wlv18HWHhGCbwdBJHttWklY/bJEI4eQyIisT8wCRjgYz+9VfKv/BRj4DfBz49eOPAWk/GX4d6f4jtdL0bXbzT7fUVYpDOJdMXeArDPBIwcg9xW/FtJ1MjqNO3K0/XVKz++/yPd8IuL8JwTxrSzLE0Pax5Zxsrc0eZfFG+l9LPVe7KR8nfsffGDQfiT+xF4O0L9ov9sq+jn1Twu1nrvh27+INnZxtZbpIo7eSNNrxo1sI1I3BirHJBJr3f9hHwn4D+Gn7dev8Ag39nPw/p2meFb34VW93460/w7ZwrYQakl3Emkuxj/wBXPLaPfHaMb440kIJIZve7nTdOuP8AgnzJbzWELI/wbKshjGCDpOMVwH/BOP4F/B/4AeJ/G3hL4L/D7T/DmnXWjaHd3Nrp6tiWdpNSUyMzlmY7VUcngDivCw+VYjBZ9hPaV5TupPW+iS23ejuZVuJ8NisFmdWNN01Wk7Uo29kued7vVa09ORKL1SfMuWz+qKKKK/Qj83PH9U+Df7El5+17ZfFPV/D3ghvjUmj5sZ5r6EaybMRvF5q25fcyiPzE83YSFBXdgYHri2tqjBktowR0IQV/MX+0j8Y/2qdB/wCCoXin4neIPF+taN8SdO+Is8FrfvItvPZIspggjTd8iRC3KIoPyGM85Ukn9nPBPx08JnxNHYaD+2ddeIbu8DW9vpNx49s7rzmb+5HGA5fjjac9a+Fhxlg6EqsZUGnzPa2vnLaz77n7R4i+GmYcLUMsnVx6xCrUU1dt8lrPlhq/3fve49L+9oj7corF+Hlzrd54J0268RB/tj24MxkGGPJwWB6EjBPvW1X2tCqq9CNRK3Mk7PdXV9T8aqQ9nNx7OwUUUVqQfzq/8HBPiz41ap/wU08SaX8Q7jUU07R7DT4/AkM0ZSNNPaBHLwAcMGuTcZfkllKn7oA/er9lDV/ih4g/Zh+Hmu/G22uIfGN54K0ybxTFd24hlXUGtYzOHQcI3mFsqOhyK+Z/+Ck3wF+DXxd+K8/iv4nfDnTtc1Dwt8NJLrw/c36MxspvOum3qoYKx3RocMCPlHHWvtOxJayhZjkmJck/Svkskw7pZ7jryb1j/wCTXf4bLyP17jvjvA8TcE5JldHCKlPCwcZS01aUY+7bW0rc87/a72u5a+Y/+ClHiXX9BHwmtbzW7rTfBl78SI18YXcJCQFktJ5dPiuZCR5cL3yW45IDOI1J+YA/TleRft1+EvDXj39l3xD4K8Y6NFqOlare6Va6jYz52TwvqdqrIcEHBBPQg17Wc0nWyqvFO3uvVeSv+Ox+c5Bi6GCzelVrw5oXaa0bSknHmV9OaN+aN9OZI8v/AGHPGnjDX/jH8ddN8M6rPqPhnTJdGXTJBDG1vDr/ANilS/topV++yRRaaZEJOx3ZTg5A/Er9h7x/+1bqH/BXTwV4yvX1m4+Jd/8AFER+LVubTddBZJmi1RJY2GEVLY3IYYAjVDjbtGP3j/4J4fDD4ffBz4a+K/h38LfCNnoeiWHjVvsmm2KERxl9N092PJJJLMxJJJJNeQeAvgN8G9H/AG8k+PmmfDrTovGepfFLVrS+8RBWNxLALK9XZyxVRtjQEqASF5PJz8XUwkpZXlj538cV/wCBO/8A5LayP2HhLxDybhetnlFYJVIYigqcG1FO8IOF5rVctS/PUSb95JXl8R9vUUUV+jn4Mfz/AP8AwcoeLPjRef8ABQiPw940uNQi8M6R4YspPAcboUgEciK11NERwzm5V1ZvvfukHRVr7D/ZZ/aCtfiD+y14O1D9of8Abav5ta1fw3GfE+jat8QLGNJg+4GGaLhgGiKhlJDYY5IOa++vjn+yf+zh+0xf6Bqfx6+D2i+KbjwveG60GXVbcubSUlC2MEblYxplGyrbRkHFd+bO0JybWMn/AHBXxlfhfGVsfWrxxTgpu+l7+j1Wi2W+h+w8R+JmWZ1wLlORU8Co1MGmpT0s9Le7o37/AMdS9vfS33PKf2XfCIsTrnj3dKRrS2kEe7HlskAlIdOOcmcjOSPlGOhr1qgAAYAor6XLcEsuwMMMpX5VvtfW5+S4mu8TXlUatcK/J7xx8bfE/h39jTU/Gvib4u3+jfFaX4lmPVbi5ureHULXxD/bSo9p5cmVijjt1VVGMLaokgO35z+sNedp+yZ+zdH+0DJ+1Snwb0QfEOWy+yyeK/s3+lNF5Qi6527vLAj343bPlzjivOz7J62bxpKnU5OSV/8AgrzXT1ep9NwvneVZRGqsbR9om4TjZRd5U+b93K+1Opze+1d+6vdfT5b0L4k/DHxX4rsdPj/avfxldx3LvpGkah44tL398Y3TzI4o8M0gjeRe+FduO4+ufgR4ObwH8K9M8Ov5wbfc3TrOAHVri4kuCpAAxgykAdQBzzXVra2qMGS2jBHQhBUlRlORVMtxcsRVrupKS5dV0vfdtnh4vHxxNFU4wUUnfT/hkFFFFfRHnBRRRQAUUUUAFFFFAHhPgr4btN+0OuqnSpLNdG1zUNVZYVIjeS4iuYyzFgchzcu/BGT04BFe7UUV5uV5cstozgpc3NJyu/M6cViXiZqVrWSX3BXxT8dPHdzpv7eHjey+L/i5tN0jSfh5pk/gyDU7hLeyGnO0z6pdRsxAdxNFAszHlEjhztUgt9rV578fv2Uf2cv2prTR7H9oX4QaN4si0C9N3o6atAX+zSsAGK4IyrBV3Icq21cg4FY57ltXNcveHpz5XdPyduj/AK3sevw5mOX5djJ/XYt05xcW4pOcfejJSipNK/u8r1Xuylr0fwD+y18dfC/i/wDZn8PxfFP9tnUgLuyubeXR9U8c2FoJNNFxNHbRTW4UGMNaCEMnDYY5wc19wfsreFoYJ9b+INs7tDq9nY2tsykGJ4oDcOroQPmB+0kZyQcDHQ59bWwsUUIlnEAowAIxgCpQABgDAHYV52X8OVsHjoYmriZVORNJNd1brJ/1YnNc5oZhVrOjQVKNSTlZbRTd0lZLbZeQUUUV9SeCed3/AOyZ+zdqf7QFv+1RqHwc0Wb4hWtn9lt/FT25NykXltF67S3lsybyN207c4AFegLa2qMGS2jBHQhBUlFRCnTp35Uld3dur7vzOnEYzF4tQVepKfJFRjzNvlitoq+0Vd2S0QUUUVZzBRRRQB4Z+1J8O/8AhN/E6aYukyBtc0JtJa+tlJkKO0mUycqNvmMw47knIFe4wRCGBIQchEC8+wp1Febg8ujhMZXxHNd1WnbtZW+Z01sS61GnTtblv87hXzF/wUo8S6/oA+E1re63dab4MvfiREnjC7iISAslpPLp8VzISPLhe+S3HJAZxGpPzAH6drD+JXw18B/GLwHqvww+J/hW01vw/rdm1rqulX8e6K4ibqpHUHIBBGCCAQQQDWuZYWeOwNShGXK5K1/66d/I7Mkx2Hy7NKdevDmgrprRu0ouN4305o35o305kj87PDPx80a1/ak+KfhNv2ur3wxoGmpovl2Fp4ssrCBNXa3lS9RS4LSMsUNkHBJ2OWXgggfQ37MOh+EfiB4v0PxH4M8b/wDCRWmj6xc6jda3bapFe/abpoJ4n86ZMqXP2gkgYPA7V798H/gd8I/gB8PbD4UfBrwBp3h7w7pnmfYdKsIcRxF3aRz82SxZ2ZiSSSTXUxxxxLtijVR6KMV8xg+FMRQqUZ1cS5Km1Lls7XXRXenrbY9TOM8wOKxNT6nQ5YOKim7KTUYqPNJK6UpW5pJSdm93u3UUUV9ofLBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFF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", "info": {"equation": "58-48=10", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "1b4de98eb8e9125e292c44f7ae3da71df3a192e022dfd554d486dc24491f77f4"} +{"episode": 952, "episode_seed": 3415352539, "split": "train", "timestamp": "2025-10-28T03:42:50.718391", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3415352539, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [8, 1, 2, 8])", "action": "('move', [8, 1, 2, 8])", "reward": 0.0, "image": 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", "info": {"equation": "12*13=156", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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"info": {"equation": "12*13=156", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "6dfac80bd628f3b5424720205f425ec782b2b17f19d31df2bec02093cd3bf5ee"} +{"episode": 953, "episode_seed": 2813746877, "split": "train", "timestamp": "2025-10-28T03:42:50.751109", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2813746877, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 5, 1, 8])", "action": "('move', [4, 5, 1, 8])", "reward": 0.0, "image": 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iCRW8K3sgVFA6D9SSSckk15+T5fVwnFc6c6rm4wu2/tXUVZ6vRX79EfFYjPqD4LlhW5ylUaioSt7Okoz5+an7zfO7OPwwSjOory5j3Wiiiv0M/OwrO8V+JbDwjoFxr+ot+7gTIUdXY8BR6kmtB3SNDJI4VVGWZjgAetfNv7U3x/sLbw/deIbDTb2/0/SIgbTTrWLM+pXjsI4oYgATvkkdIk7ZfPSvFz3NoZVg3Ja1JaRXd9/Rf8DqduBwjxdaz+FbvyOE8ZaRrn7VXxlt/wBnyO5b7HqMaat8S72HawtdG3OEsh+8Vke7ki8gYDYgWc8EKa+x9M0zTdE0230bRtOgtLO0gSG0tLWFY4oYkUKqIqgBVAAAAGABgV5j+yJ8BdS+B3w2ln8bzQ3XjTxRef2t411CFldXvWjRBBG6xpmCCNEhjyo+WPcfmZifVanIMreW4P8Aea1J+9J+b6fL87jzDFLE1vd+FaIKKKK9w4Qr+Zf/AILLeNP2hfFv/BRD4jWn7QsuprNpHiC6svCdpfw+XHBoSzyGxMCj5fLeErJuH32dmb5icf00V8V/tt/sx/AD9on9sGOb44fCrTPEraP8PtJ/sw6j5mIPM1DU94ARlBB2JkNkce5z8jxpRdTKPaczXLJadHfTX03P2HwV47wHAXE9TFYvDe1jUg43VueGt7xvZWdrSV1prfSz+Tv+CUn7Q/iPUv2N9GtfjP8Atl6p4cm0y+l0/wAO6SfGtjYiHSYI4o4AInXeFDCVQW5IUdRgn0/4i/B7/gn98QPA/jn4i/FLXfC/i77bbrL4v8daz4gt9S1GBgpFvi6L5gZcBYok2K+1U2sOD9vfsQabptt+yP8AD62ttOgjii8M26RRRwqqooBAVQBgAAAADgAV8i/tifsq/s5/FH46fGr4sfET4PaNrPiLRo4l0zU76J2aAReHrOWMbN2xtrszDcp5P0r5fOcmxOEymnXqYmU03G0XeyuvV7bbHNheLMLmHGGKx0YywkakpTtQtf41JQ3grXs3LW0kmoPY+pf+CcPiL41eK/2Hvhx4g/aGhv08W3Og51A6pZi3upIRLIttJNGANsj2whdgQDuY5AOQPbayPh8zN4C0NmYknSLYkk9f3S1r1+oYem6VCEG72SV3u7Ld+p+a5ni45hmVbFRpqmqk5SUI/DHmbfLHyjey8kFc18ZPCXwo8c/CrxB4V+OmmaReeD7vSph4jh15kWzFoFLSPKzkCNVC79+RsKhgQQCOlr8u/wDg6E8a/tDeHf2efAvhv4fTapB4A1rVr2Px/PYw/unnT7M1hBPIOVRj9pYKflZo1zyqiuXNMZHAZfUryjzKK2730+7XXyPoOA+Ha3FnF+DyqlXVCVSelRu3Lypyutve920FdXlZXW590fsgfCL9i74X/Dq8sv2KdE8GR+GrzVGkv7jwdqEV7DNdqiAh5keTc6ps+Ut8oI4GefWFtLVWDLbRgjoQgr+bz/gjD8bvib8P/wBpGTwDp3x51TwX4I1ewuLvxW1tr0FjA8kMDi2cvPlQ/mui/L8zA4OVBx+tXgb4++EYPEMdlo37aE/iC7v1Nrb6Xd+PbO685nIwEjjAYycYG3nk18nhuNMDTwyToSi10ily/LVfkfXeJ3h7j+FOLqmEq436y5KM+eTbm+bS07395W7u8eV6Xsvt2iuO+B+oeKdS8FifxO0rkTEWktxnfJFgYJz1HXB7jnmuxr7PBYqONwsK6TSkr2e5+UVqTo1XBu9grif2lNU+KGh/s7ePNa+CFlJc+M7Twbqc3hK3it1laXU1tZGtlCN8rkyhAFPBzg121Fbzjzwcb2v1KwtZYfEwquKkotPleqdnez8ns/I/kbvPiN8WrX4xv8VtV8S6sPHEHiL+05tWvSzXq6mk/mea+8Z80SjJDDqMEdq/c/4f/HHRvEHwp0L/AIWZ+3xq0Gt33hy0/wCEit4/idYQtHdvbp9oUeWB5ZEhcfKflxweAa+lbP8AZ6/4JtxftjzfEax8K/DcfG77Q15NGmpwHV1mNsC05s/MyJDCd5k8vcQ2/OSWPvn2Oz/59Y/+/Yr4LB8JY2nz8uMcbv7N9fX3lr3Wvqfu/iv4sZdxvDARo5a6LpQvedk/et7sLL+GrXi9L/yxtr+UXxx+F/7P/wAGvB3gHx/+xP4V8PWfxQtvFdovwoufCEcF1e6zNJcql7G7bmN5AYHn86RywjHV4wTX6w1+a37Iv7LX7O/wz8W/Bj4y+A/hFpGmeKtY1yybUtdhR2nlM+nXckxBdiE3tydgXPTpxX6U108EUnDBVpczfv2t00S19XfX0R+fcb5zSzGOGoRlOo6alJ1KlueTm0+T4p+5BxbjeTblOcrLmsFFFFfbHwR/Px/wcg+NP2htV/b6u/BXxMm1SPwRpWk2cnw5tpodlpJBJawm7mjxxI5uhMjMfmAjRfuhc+jf8EWP2i/Hs3wJ13wd8Wv2utZ8L+HvD1/b2ngrTpPGNrYrHGwlkuUjWYF2RWaLH8K7iF7gfod/wUg+A/we/aD+KHw08IfGr4f2XiLTLXRvEN3b2d8XCxzrJpaBwUZTna7Drjnp0ru/+Cengrwh4H+Al54M8H+GrLTdJ0rxrrdrp2n2kAWK3hS9kCoo9B+ZOSckk1+azyrEYnimvRp15QdubmV72fL7u60V9PRH9C5z4q5TmHhFg+Hll8VUp8kXL3eVcl/3kdG+epb37pfFPV3PG/hr4q+Hvi7xVdXvhT41p461+W1hjnnk8SwaldpbRyOY4wIeVjEkzkfL96U88gV9YfAvwDH8Lvg94c+H0UszjSdKig3XBBc4GfmwAM8+ldTHbwRHdFAin1VQKfX1GTZDLKsRUrzrOpKaSu1+erufheMx6xVOMIwUUv67IKKKK+iPOCiiigDyD9p/w4L7VdC8UPoiyNp1vdQQ6gqsWgWZoTJGccBWMMR57oMV0P7Nvw/f4d/Dd7CUXCy6lrN9qk0dyAGje4naUrjAwBu4B59a76ivHo5RGjnFTH87bmkrW226/I7J4xzwccPy7O9/v/zCiiivYOMbNDFcQvbzoGSRSrqe4IwRXEeDvgXofhDxP/wkceqTXAiJNnBJGB5RIIJJH3jzxwMe9dzRXJiMBg8XVp1asE5Qd4vs/wCu5tTxFalCUYOyluFFFFdZiFFFFABX56/C/wCI+qP+0L8c9U/aC8avZeL9K8eXsYsfEV1Hax6d4TtXY6VNAhYAWZglMrT/AHTLLIWbdkD9Cq8q/aF/Yf8A2TP2r9Z0rxF+0T8CNC8V3+iQvFpt5qULeZFEzBjGWRlLpuGQrZAJbAG5s+DxDlFbOMGqVOfK0767P1t+B9RwzmuV5fKtSx8JclVJc8IxlOLi+bRScU1LaS5ovZ3duWXwD+xf+0VY6v8ADfX4/En7cGs6XpFh471ay8DW0/jPT7Bv7CikVbUiErkLnzQrNyyqDyME+6+C7HwJ8XtG8Q+GPAnxNHjC88QK8Gu6va65DqN27zW/2dWkeLKqVhjVVyoG2LocE19q2ejaRp1nDp2n6VbQW9vEsUEEMCqkaKMKqqBgAAAADgAVPHDDFnyolXPXauK8WfB+JrQUKuMlKKto07fK8tPLQeP4hwuJx9TEYfCxpqTdkmtF0u1FXffa7u7IraBpaaJoNlosbsy2dpHArMRkhFC5OPpVuiivt0rKx8sFYnxI+G3gP4weBNV+GPxP8KWWuaBrdm1rqulahCHiuIm6gjsQcEMMFSAQQQDW3RRKMZJpq6ZdKrVoVY1KcnGUWmmnZprVNNbNdGef/s//ALKv7O37K/ha78F/s+fCPSPC2m316bu9t9OhOZ5toXe7uWZsKoABOB2xk13i2lqrBltowR0IQVJRU06dOlBQgkkui0RrisXisdiJYjE1JTqS1cpNyk35t3b+YUUUVZzhXE/tKap8UND/AGdvHmtfBCykufGdp4N1ObwlbxW6ytLqa2sjWyhG+VyZQgCng5wa7aipnHng43tfqb4WssPiYVXFSUWnyvVOzvZ+T2fkfyQx/Fn42eH/AI3N8Zf+E21218f22vtqEmuyTuuoJqIkLNIzN83mb8gg+4IxxX7m/DP4+6bqHw08O33xC/b51S38QT6BZya9B/wsnTk8q9aBDOu1VIXEhcYHAxgV9b2/7CP7H1p+0C/7U9t+z54cT4gSXTXT+JRanzvtDR+W023PliQrnLhdxJLZ3EmvVvsdn/z6x/8AfsV8JheEMwoc1sW43f2b6+b1Wv3+p+5eKfi7k/H8MFHC5eqfsYu7ly3u7e5Gyf7uNtL2bv8ADG2vyv8As/eAfCPjrV/BV34Avorjw/4Zvo77TbvSblJ7Zkhgmt0TzRuVl+dhwckr14NfVlIiJGu2NAoHQAYpa+lyTKFk2FdFT57tu9rdltd9u5+JY3FvGVVPltZWCiiivYOM+EPHnjLxNd/8FKviP4d+MfiO8tf7P8P6XD8I9J1B1htbnSJbWObUbi0GR9omN7E6yt8zIkEYO1QCfH/gF+0jo+q/HH4x6Zb/ALaN7o/giy8U2reEo7TxjYWVs9zNA0upeQSCZ4hOyESZK/McE8gfoZ+0R+yd+zl+1noFh4Y/aM+EWkeLLLSrs3Wmx6lG262lKlGKOhV1DA8qDhtqkglVx1PgT4c+A/hj4M0z4efD7wlYaRoei2SWml6ZY26pFbQoMKigfz6k5JyTXxNfhXG1czq4mGJcFLVNX5tem60XTXtofoNfijIp5OoRw167p06bTUVTh7PkvUg9ZOdTkXNeKtz1PelzafKvwq+Nltr0knhnwF+0rc+MrxJhdeUvim31C5i6IMCDnZkgYIILN719b+G5dUn8P2U2txBLxrVDcqOz7Rn9atR28ER3RQIp9VUCn17GUZPXyyrOdXESqc1t76W9Wz43GYyGJjGMaajbt/wyCiiiveOAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigA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", "info": {"equation": "4*8=32", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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/DvTPDnh+weR7XTNOgwiu7Fnck5ZmJJJZiT054FfGY7hjF4rNpYuGIcE+qvzLpZarT5+Vup+80/F7J4eEseE3lydZO3N7vJbm5vafze16bW+1zfZPh7UPDf7K3x78caZffEX4r6R8VdZ022nTQtP8VeK7TWFs0ZSZnhtAfL3MoG5yjMAi8jaK7z/gj6W0iX4veAfhYWk+DWh+L7ZPhnPCiNZLPLC0mqwWc4JM9ulyVw2WAZ3AYncBuf8ABRz4A/Bj4+/FD4aeEPjJ8OtP8QaZbaN4hu4LO83qqTrJpaBwY2U52u464+bp0r0H/gnh4S8MeAvgDd+CfBWg2ul6RpPjXW7XTdOsogkVvCt7IFRQOg/UkknJJNefk+X1cJxXOnOq5uMLtv7V1FWer0V+/RHxWIz6g+C5YVucpVGoqErezpKM+fmp+83zuzj8MEozqK8uY91ooor9DPzsK5f4w2fh+68A3reIX2JEoa3lVAzrL0XaD1JPH0Jrp3dI0MkjhVUZZmOAB6182/tTfH+wtvD914hsNNvb/T9IiBtNOtYsz6leOwjihiABO+SR0iTtl89K8HiLMKGCy6UJpSlUTjGPdvT7lf8AJdTvy7D1K+JTWijq32PB/wBob4h+FrjxFpPwY8TS3Ufhy8urK5+KGqWSxMNL0KW48kLKXmjMS3EwWN3AYpbi4fHyg1+gelabpejaXbaRolhb2llaW6Q2draRLHFDEqhURFUAKoUAADgAACvl7QP2RL74Y/BibxF4/jttW8UeJ5GvPiSzFJoJ5pYliFvHiNA1vDEqwKCoyi7iCWYnt/2HdQ8VeGPh+/wR8X6gb6LwufI8LarJco8tzpIJW3hlARCJoECxMcMHUI+8szhfB4ZbyfFyy/ExUZzSkn302+WvzTPQzNLGUViKTvFXTXbz/ryPcqKKK+8PACv5l/8Agst40/aF8W/8FEPiNaftCy6ms2keILqy8J2l/D5ccGhLPIbEwKPl8t4Ssm4ffZ2ZvmJx/TRXxX+23+zH8AP2if2wY5vjh8KtM8Sto/w+0n+zDqPmYg8zUNT3gBGUEHYmQ2Rx7nPyPGlF1Mo9pzNcslp0d9NfTc/YfBXjvAcBcT1MVi8N7WNSDjdW54a3vG9lZ2tJXWmt9LP5O/4JSftD+I9S/Y30a1+M/wC2XqnhybTL6XT/AA7pJ8a2NiIdJgjijgAidd4UMJVBbkhR1GCfT/iL8Hv+Cf3xA8D+OfiL8Utd8L+Lvttusvi/x1rPiC31LUYGCkW+LovmBlwFiiTYr7VTaw4P29+xBpum237I/wAPra206COKLwzbpFFHCqqigEBVAGAAAAAOABXyL+2J+yr+zn8Ufjp8avix8RPg9o2s+ItGjiXTNTvonZoBF4es5Yxs3bG2uzMNynk/Svl85ybE4TKadepiZTTcbRd7K69Xttsc2F4swuYcYYrHRjLCRqSlO1C1/jUlDeCtezctbSSag9j6l/4Jw+IvjV4r/Ye+HHiD9oaG/Txbc6DnUDqlmLe6khEsi20k0YA2yPbCF2BAO5jkA5A9trI+HzM3gLQ2ZiSdItiST1/dLWvX6hh6bpUIQbvZJXe7st36n5rmeLjmGZVsVGmqaqTlJQj8MeZt8sfKN7LyQVzXxk8JfCjxz8KvEHhX46aZpF54Pu9KmHiOHXmRbMWgUtI8rOQI1ULv35GwqGBBAI6Wvy7/AODoTxr+0N4d/Z58C+G/h9NqkHgDWtWvY/H89jD+6edPszWEE8g5VGP2lgp+VmjXPKqK5c0xkcBl9SvKPMorbvfT7tdfI+g4D4drcWcX4PKqVdUJVJ6VG7cvKnK62973bQV1eVldbn3R+yB8Iv2Lvhf8Oryy/Yp0TwZH4avNUaS/uPB2oRXsM12qICHmR5Nzqmz5S3ygjgZ59YW0tVYMttGCOhCCv5vP+CMPxu+Jvw//AGkZPAOnfHnVPBfgjV7C4u/FbW2vQWMDyQwOLZy8+VD+a6L8vzMDg5UHH61eBvj74Rg8Qx2WjftoT+ILu/U2tvpd349s7rzmcjASOMBjJxgbeeTXyeG40wNPDJOhKLXSKXL8tV+R9d4neHuP4U4uqYSrjfrLkoz55Nub5tLTvf3lbu7x5Xpey+3aK474H6h4p1LwWJ/E7SuRMRaS3Gd8kWBgnPUdcHuOea7Gvs8Fio43CwrpNKSvZ7n5RWpOjVcG72CuJ/aU1T4oaH+zt481r4IWUlz4ztPBupzeEreK3WVpdTW1ka2UI3yuTKEAU8HODXbUVvOPPBxva/UrC1lh8TCq4qSi0+V6p2d7Pyez8j+SGP4s/Gzw/wDG5vjL/wAJtrtr4/ttfbUJNdknddQTURIWaRmb5vM35BB9wRjiv3J+H/xx0bxB8KdC/wCFmft8atBrd94ctP8AhIreP4nWELR3b26faFHlgeWRIXHyn5ccHgGvpWz/AGev+CbcX7Y83xGsfCvw3Hxu+0NeTRpqcB1dZjbAtObPzMiQwneZPL3ENvzklj759js/+fWP/v2K+CwnCWNpqfLjHHV/DfX195a91r6n7v4r+K+XcbxwEaOWui6UL3nZP3re7Cy/hq14vS/8sba/lF8cfhf+z/8ABrwd4B8f/sT+FfD1n8ULbxXaL8KLnwhHBdXuszSXKpexu25jeQGB5/OkcsIx1eME1+sNfmt+yL+y1+zv8M/FvwY+MvgP4RaRpnirWNcsm1LXYUdp5TPp13JMQXYhN7cnYFz06cV+lNdPBFJwwVaXM379rdNEtfV319Efn3G+c0sxjhqEZTqOmpSdSpbnk5tPk+KfuQcW43k25TnKy5rBRRRX2x8Efz8f8HIPjT9obVf2+rvwV8TJtUj8EaVpNnJ8ObaaHZaSQSWsJu5o8cSOboTIzH5gI0X7oXPo3/BFj9ovx7N8Cdd8HfFr9rrWfC/h7w9f29p4K06Txja2KxxsJZLlI1mBdkVmix/Cu4he4H6Hf8FIPgP8Hv2g/ih8NPCHxq+H9l4i0y10bxDd29nfFwsc6yaWgcFGU52uw6456dK7v/gnp4K8IeB/gJeeDPB/hqy03SdK8a63a6dp9pAFit4UvZAqKPQfmTknJJNfms8qxGJ4pr0adeUHbm5le9ny+7utFfT0R/Quc+KuU5h4RYPh5ZfFVKfJFy93lXJf95HRvnqW9+6XxT1dzxv4a+Kvh74u8VXV74U+NaeOtfltYY555PEsGpXaW0cjmOMCHlYxJM5Hy/elPPIFfWHwL8Ax/C74PeHPh9FLM40nSooN1wQXOBn5sADPPpXUx28ER3RQIp9VUCn19Rk2QyyrEVK86zqSmkrtfnq7n4XjMesVTjCMFFL+uyCiiivojzgooooA8g/af8OC+1XQvFD6Isjadb3UEOoKrFoFmaEyRnHAVjDEee6DFdD+zb8P3+Hfw3ewlFwsupazfapNHcgBo3uJ2lK4wMAbuAefWu+orx6OURo5xUx/O25pK1ttuvyOyeMc8HHD8uzvf7/8wooor2DjGzQxXEL286BkkUq6nuCMEVxHg74F6H4Q8T/8JHHqk1wIiTZwSRgeUSCCSR9488cDHvXc0VyYjAYPF1adWrBOUHeL7P8ArubU8RWpQlGDspblXXNHs/EGkXOiX6kw3ULRyY6gEdR7jrXMfDr4PaX8P9Sn1dNUkvJ5FMcTPGFEcZIOOCcnjk8D2FdjRRVwGDr4mGIqQTnDZ9v689ghXrU6Tpxej3QUUUV1mIV+evwv+I+qP+0L8c9U/aC8avZeL9K8eXsYsfEV1Hax6d4TtXY6VNAhYAWZglMrT/dMsshZt2QP0Kryr9oX9h/9kz9q/WdK8RftE/AjQvFd/okLxabealC3mRRMwYxlkZS6bhkK2QCWwBubPg8Q5RWzjBqlTnytO+uz9bfgfUcM5rleXyrUsfCXJVSXPCMZTi4vm0UnFNS2kuaL2d3bll8A/sX/ALRVjq/w31+PxJ+3BrOl6RYeO9WsvA1tP4z0+wb+wopFW1IhK5C580Kzcsqg8jBPuvgux8CfF7RvEPhjwJ8TR4wvPECvBrur2uuQ6jdu81v9nVpHiyqlYY1VcqBti6HBNfatno2kadZw6dp+lW0FvbxLFBBDAqpGijCqqgYAAAAA4AFTxwwxZ8qJVz12rivFnwfia0FCrjJSiraNO3yvLTy0Hj+IcLicfUxGHwsaak3ZJrRdLtRV332u7uyK2gaWmiaDZaLG7MtnaRwKzEZIRQuTj6Vboor7dKysfLBWJ8SPht4D+MHgTVfhj8T/AApZa5oGt2bWuq6VqEIeK4ibqCOxBwQwwVIBBBANbdFEoxkmmrpl0qtWhVjUpycZRaaadmmtU01s10Z5/wDs/wD7Kv7O37K/ha78F/s+fCPSPC2m316bu9t9OhOZ5toXe7uWZsKoABOB2xk13i2lqrBltowR0IQVJRU06dOlBQgkkui0RrisXisdiJYjE1JTqS1cpNyk35t3b+YUUUVZzhXE/tKap8UND/Z28ea18ELKS58Z2ng3U5vCVvFbrK0uprayNbKEb5XJlCAKeDnBrtqKmceeDje1+pvhayw+JhVcVJRafK9U7O9n5PZ+R/JDH8WfjZ4f+NzfGX/hNtdtfH9tr7ahJrsk7rqCaiJCzSMzfN5m/IIPuCMcV+5vwz+Pum6h8NPDt98Qv2+dUt/EE+gWcmvQf8LJ05PKvWgQzrtVSFxIXGBwMYFfW9v+wj+x9aftAv8AtT237PnhxPiBJdNdP4lFqfO+0NH5bTbc+WJCucuF3EktncSa9W+x2f8Az6x/9+xXwmF4QzChzWxbjd/Zvr5vVa/f6n7l4p+LuT8fwwUcLl6p+xi7uXLe7t7kbJ/u420vZu/wxtr8r/s/eAfCPjrV/BV34Avorjw/4Zvo77TbvSblJ7Zkhgmt0TzRuVl+dhwckr14NfVlIiJGu2NAoHQAYpa+lyTKFk2FdFT57tu9rdltd9u5+JY3FvGVVPltZWCiiivYOM+EPHnjLxNd/wDBSr4j+HfjH4jvLX+z/D+lw/CPSdQdYbW50iW1jm1G4tBkfaJjexOsrfMyJBGDtUAnx/4BftI6Pqvxx+MemW/7aN7o/giy8U2reEo7TxjYWVs9zNA0upeQSCZ4hOyESZK/McE8gfoZ+0R+yd+zl+1noFh4Y/aM+EWkeLLLSrs3Wmx6lG262lKlGKOhV1DA8qDhtqkglVx1PgT4c+A/hj4M0z4efD7wlYaRoei2SWml6ZY26pFbQoMKigfz6k5JyTXxNfhXG1czq4mGJcFLVNX5tem60XTXtofoNfijIp5OoRw167p06bTUVTh7PkvUg9ZOdTkXNeKtz1PelzafKvwq+Nltr0knhnwF+0rc+MrxJhdeUvim31C5i6IMCDnZkgYIILN719b+G5dUn8P2U2txBLxrVDcqOz7Rn9atR28ER3RQIp9VUCn17GUZPXyyrOdXESqc1t76W9Wz43GYyGJjGMaajbt/wyCiiiveOAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigD50/bS/4Ko/sbfsEeKdL8C/H/wAaav8A27qmkz6sujeGfDN5q1zaaZCcTahcpaxube2Q5BlfC8H0Ne4fDX4k+A/jH8PtF+K3wu8VWeueHPEWmQ6homsafLvhvLaVA8ciH0KkdeR0IBr8uv8AgpL4Y+Mv7Mv/AAVI+Iv7Wdz+zP4/+I3g74tfskah8OvDU3gDwtNrEllr/wBpMiWl1HCCbeCUYPnN8gLHPQ19jf8ABG39nb4p/sof8ExPg38AfjZYtZ+KtA8Ioutae8odrKWWWSf7OSpILRiQIcEgFSBQB9NUUUUAFFFFAHK/G740fD39nj4U638afirq01l4f8P2n2jUbi2sZbmUKWVFVIoVaSR2ZlUKqkksK479iv8AbZ+BH7fvwW/4X5+zrqWq3Ph4azd6U7azo81hcJdWzBZkaGYB12sccjrn0rs/jV8WNB+Bfwt1n4teJ9A1/VLDQ7UXFzp/hfQZ9T1CZd6riG1t1aWZssDtVScAnoDX59f8G1Hj3WNG/Zt8Yfs9eO/gl8S/CPiG2+I3iHxPnxr8PNR0m1nsL6/LW/lT3MSJJKVILRqSyjqKAP0tooooAKKKKACvli+/4LK/sI6P+0lp37L/AIj8beI9I1rWPFEnhvRtd1jwRqVroeoavG/lvZQajLCtvLKJPk+ViN3Ga+p6/IP9pj9o6/8A27P+Cp3hn4Y/tP8A7N3xs8N/BL4E/EO3uvBVjpfwY1i9Xxz4oimaGPUrm9itzFa6ZA3zJhv3qtvZgrEKAfr5RRRQAUUUUAFeN/te/t0/A79ibRtM1X4v2Pi7UJdY+0NY6Z4L8FX+t3ZigQPPO8VnE5jijVlLSPtUZHNeyV8ef8Fh/HHwtX4K2vwb+Mnwz/aN1HRvEUN1c2+vfs86fqMt1b3cMRjS0uX05vNVJhOxCSKYHMfzkbRQB9AfsrftUfA39tP4F6H+0f8As5eNU1/wl4gjkbTtQW3eFt0cjRyRvHIAyOjqyspHBFeh18Z/8EA/hd+0V8GP+CV3w3+Gv7Tnw7/4RXxBpaXqWWiT6fFa3UGmm6ka0N1HEAq3DRkM5I3EnLfMTX2ZQAUUUUAFFFeX/trWP7R+q/smfELSf2QWs1+Jt54WurfwTLf3KwxRX8ibEkLuQqldxYE8blGaAOS/Z7/4KY/sh/tS/tTfET9jv4IfEC41rxn8LVP/AAl6RabILOBllWF0juCNkrJKSjBScMrDsa99r8af+CMf7O37Y/7L/wDwVx8U+FfGf/BPmf4feEl+BWiaFq+uHxx/atqslufNN8t+tnFHqV5dXBZ5okKtEZWYlgMV+y1ABRRRQAUUUUAfLvxq/wCCuf7L/wAEP2ite/Za1LwT8VfE3i7wvbWFx4gtvAXwq1XXIdPjvYzJbNLLZwuqB1VsZx9xh/CcfUMbiRFkAIDAEBhg1+OH/BY34ca/o/7RPxG+JH7EHw5/a70f9qDxJf8Ahu38Ka54Cs7yLwdrEVqIlRrmaH/RJLdInuVZbs71kJwAjHP68fD4eMB4B0MfEMwHxANHtv7cNrjyvtnlL52zHG3zN2PagDYooooA/9k=", 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/DvTPDnh+weR7XTNOgwiu7Fnck5ZmJJJZiT054FfGY7hjF4rNpYuGIcE+qvzLpZarT5+Vup+80/F7J4eEseE3lydZO3N7vJbm5vafze16bW+1zfZPh7UPDf7K3x78caZffEX4r6R8VdZ022nTQtP8VeK7TWFs0ZSZnhtAfL3MoG5yjMAi8jaK7z/gj6W0iX4veAfhYWk+DWh+L7ZPhnPCiNZLPLC0mqwWc4JM9ulyVw2WAZ3AYncBuf8ABRz4A/Bj4+/FD4aeEPjJ8OtP8QaZbaN4hu4LO83qqTrJpaBwY2U52u464+bp0r0H/gnh4S8MeAvgDd+CfBWg2ul6RpPjXW7XTdOsogkVvCt7IFRQOg/UkknJJNefk+X1cJxXOnOq5uMLtv7V1FWer0V+/RHxWIz6g+C5YVucpVGoqErezpKM+fmp+83zuzj8MEozqK8uY91ooor9DPzsK5f4w2fh+68A3reIX2JEoa3lVAzrL0XaD1JPH0Jrp3dI0MkjhVUZZmOAB6182/tTfH+wtvD914hsNNvb/T9IiBtNOtYsz6leOwjihiABO+SR0iTtl89K8HiLMKGCy6UJpSlUTjGPdvT7lf8AJdTvy7D1K+JTWijq32PB/wBob4h+FrjxFpPwY8TS3Ufhy8urK5+KGqWSxMNL0KW48kLKXmjMS3EwWN3AYpbi4fHyg1+gelabpejaXbaRolhb2llaW6Q2draRLHFDEqhURFUAKoUAADgAACvl7QP2RL74Y/BibxF4/jttW8UeJ5GvPiSzFJoJ5pYliFvHiNA1vDEqwKCoyi7iCWYnt/2HdQ8VeGPh+/wR8X6gb6LwufI8LarJco8tzpIJW3hlARCJoECxMcMHUI+8szhfB4ZbyfFyy/ExUZzSkn302+WvzTPQzNLGUViKTvFXTXbz/ryPcqKKK+8PACv5l/8Agst40/aF8W/8FEPiNaftCy6ms2keILqy8J2l/D5ccGhLPIbEwKPl8t4Ssm4ffZ2ZvmJx/TRXxX+23+zH8AP2if2wY5vjh8KtM8Sto/w+0n+zDqPmYg8zUNT3gBGUEHYmQ2Rx7nPyPGlF1Mo9pzNcslp0d9NfTc/YfBXjvAcBcT1MVi8N7WNSDjdW54a3vG9lZ2tJXWmt9LP5O/4JSftD+I9S/Y30a1+M/wC2XqnhybTL6XT/AA7pJ8a2NiIdJgjijgAidd4UMJVBbkhR1GCfT/iL8Hv+Cf3xA8D+OfiL8Utd8L+Lvttusvi/x1rPiC31LUYGCkW+LovmBlwFiiTYr7VTaw4P29+xBpum237I/wAPra206COKLwzbpFFHCqqigEBVAGAAAAAOABXyL+2J+yr+zn8Ufjp8avix8RPg9o2s+ItGjiXTNTvonZoBF4es5Yxs3bG2uzMNynk/Svl85ybE4TKadepiZTTcbRd7K69Xttsc2F4swuYcYYrHRjLCRqSlO1C1/jUlDeCtezctbSSag9j6l/4Jw+IvjV4r/Ye+HHiD9oaG/Txbc6DnUDqlmLe6khEsi20k0YA2yPbCF2BAO5jkA5A9trI+HzM3gLQ2ZiSdItiST1/dLWvX6hh6bpUIQbvZJXe7st36n5rmeLjmGZVsVGmqaqTlJQj8MeZt8sfKN7LyQVzXxk8JfCjxz8KvEHhX46aZpF54Pu9KmHiOHXmRbMWgUtI8rOQI1ULv35GwqGBBAI6Wvy7/AODoTxr+0N4d/Z58C+G/h9NqkHgDWtWvY/H89jD+6edPszWEE8g5VGP2lgp+VmjXPKqK5c0xkcBl9SvKPMorbvfT7tdfI+g4D4drcWcX4PKqVdUJVJ6VG7cvKnK62973bQV1eVldbn3R+yB8Iv2Lvhf8Oryy/Yp0TwZH4avNUaS/uPB2oRXsM12qICHmR5Nzqmz5S3ygjgZ59YW0tVYMttGCOhCCv5vP+CMPxu+Jvw//AGkZPAOnfHnVPBfgjV7C4u/FbW2vQWMDyQwOLZy8+VD+a6L8vzMDg5UHH61eBvj74Rg8Qx2WjftoT+ILu/U2tvpd349s7rzmcjASOMBjJxgbeeTXyeG40wNPDJOhKLXSKXL8tV+R9d4neHuP4U4uqYSrjfrLkoz55Nub5tLTvf3lbu7x5Xpey+3aK474H6h4p1LwWJ/E7SuRMRaS3Gd8kWBgnPUdcHuOea7Gvs8Fio43CwrpNKSvZ7n5RWpOjVcG72CuJ/aU1T4oaH+zt481r4IWUlz4ztPBupzeEreK3WVpdTW1ka2UI3yuTKEAU8HODXbUVvOPPBxva/UrC1lh8TCq4qSi0+V6p2d7Pyez8j+SGP4s/Gzw/wDG5vjL/wAJtrtr4/ttfbUJNdknddQTURIWaRmb5vM35BB9wRjiv3J+H/xx0bxB8KdC/wCFmft8atBrd94ctP8AhIreP4nWELR3b26faFHlgeWRIXHyn5ccHgGvpWz/AGev+CbcX7Y83xGsfCvw3Hxu+0NeTRpqcB1dZjbAtObPzMiQwneZPL3ENvzklj759js/+fWP/v2K+CwnCWNpqfLjHHV/DfX195a91r6n7v4r+K+XcbxwEaOWui6UL3nZP3re7Cy/hq14vS/8sba/lF8cfhf+z/8ABrwd4B8f/sT+FfD1n8ULbxXaL8KLnwhHBdXuszSXKpexu25jeQGB5/OkcsIx1eME1+sNfmt+yL+y1+zv8M/FvwY+MvgP4RaRpnirWNcsm1LXYUdp5TPp13JMQXYhN7cnYFz06cV+lNdPBFJwwVaXM379rdNEtfV319Efn3G+c0sxjhqEZTqOmpSdSpbnk5tPk+KfuQcW43k25TnKy5rBRRRX2x8Efz8f8HIPjT9obVf2+rvwV8TJtUj8EaVpNnJ8ObaaHZaSQSWsJu5o8cSOboTIzH5gI0X7oXPo3/BFj9ovx7N8Cdd8HfFr9rrWfC/h7w9f29p4K06Txja2KxxsJZLlI1mBdkVmix/Cu4he4H6Hf8FIPgP8Hv2g/ih8NPCHxq+H9l4i0y10bxDd29nfFwsc6yaWgcFGU52uw6456dK7v/gnp4K8IeB/gJeeDPB/hqy03SdK8a63a6dp9pAFit4UvZAqKPQfmTknJJNfms8qxGJ4pr0adeUHbm5le9ny+7utFfT0R/Quc+KuU5h4RYPh5ZfFVKfJFy93lXJf95HRvnqW9+6XxT1dzxv4a+Kvh74u8VXV74U+NaeOtfltYY555PEsGpXaW0cjmOMCHlYxJM5Hy/elPPIFfWHwL8Ax/C74PeHPh9FLM40nSooN1wQXOBn5sADPPpXUx28ER3RQIp9VUCn19Rk2QyyrEVK86zqSmkrtfnq7n4XjMesVTjCMFFL+uyCiiivojzgooooA8g/af8OC+1XQvFD6Isjadb3UEOoKrFoFmaEyRnHAVjDEee6DFdD+zb8P3+Hfw3ewlFwsupazfapNHcgBo3uJ2lK4wMAbuAefWu+orx6OURo5xUx/O25pK1ttuvyOyeMc8HHD8uzvf7/8wooor2DjGzQxXEL286BkkUq6nuCMEVxHg74F6H4Q8T/8JHHqk1wIiTZwSRgeUSCCSR9488cDHvXc0VyYjAYPF1adWrBOUHeL7P8ArubU8RWpQlGDspblXXNHs/EGkXOiX6kw3ULRyY6gEdR7jrXMfDr4PaX8P9Sn1dNUkvJ5FMcTPGFEcZIOOCcnjk8D2FdjRRVwGDr4mGIqQTnDZ9v689ghXrU6Tpxej3QUUUV1mIV+evwv+I+qP+0L8c9U/aC8avZeL9K8eXsYsfEV1Hax6d4TtXY6VNAhYAWZglMrT/dMsshZt2QP0Kryr9oX9h/9kz9q/WdK8RftE/AjQvFd/okLxabealC3mRRMwYxlkZS6bhkK2QCWwBubPg8Q5RWzjBqlTnytO+uz9bfgfUcM5rleXyrUsfCXJVSXPCMZTi4vm0UnFNS2kuaL2d3bll8A/sX/ALRVjq/w31+PxJ+3BrOl6RYeO9WsvA1tP4z0+wb+wopFW1IhK5C580Kzcsqg8jBPuvgux8CfF7RvEPhjwJ8TR4wvPECvBrur2uuQ6jdu81v9nVpHiyqlYY1VcqBti6HBNfatno2kadZw6dp+lW0FvbxLFBBDAqpGijCqqgYAAAAA4AFTxwwxZ8qJVz12rivFnwfia0FCrjJSiraNO3yvLTy0Hj+IcLicfUxGHwsaak3ZJrRdLtRV332u7uyK2gaWmiaDZaLG7MtnaRwKzEZIRQuTj6Vboor7dKysfLBWJ8SPht4D+MHgTVfhj8T/AApZa5oGt2bWuq6VqEIeK4ibqCOxBwQwwVIBBBANbdFEoxkmmrpl0qtWhVjUpycZRaaadmmtU01s10Z5/wDs/wD7Kv7O37K/ha78F/s+fCPSPC2m316bu9t9OhOZ5toXe7uWZsKoABOB2xk13i2lqrBltowR0IQVJRU06dOlBQgkkui0RrisXisdiJYjE1JTqS1cpNyk35t3b+YUUUVZzhXE/tKap8UND/Z28ea18ELKS58Z2ng3U5vCVvFbrK0uprayNbKEb5XJlCAKeDnBrtqKmceeDje1+pvhayw+JhVcVJRafK9U7O9n5PZ+R/JDH8WfjZ4f+NzfGX/hNtdtfH9tr7ahJrsk7rqCaiJCzSMzfN5m/IIPuCMcV+5vwz+Pum6h8NPDt98Qv2+dUt/EE+gWcmvQf8LJ05PKvWgQzrtVSFxIXGBwMYFfW9v+wj+x9aftAv8AtT237PnhxPiBJdNdP4lFqfO+0NH5bTbc+WJCucuF3EktncSa9W+x2f8Az6x/9+xXwmF4QzChzWxbjd/Zvr5vVa/f6n7l4p+LuT8fwwUcLl6p+xi7uXLe7t7kbJ/u420vZu/wxtr8r/s/eAfCPjrV/BV34Avorjw/4Zvo77TbvSblJ7Zkhgmt0TzRuVl+dhwckr14NfVlIiJGu2NAoHQAYpa+lyTKFk2FdFT57tu9rdltd9u5+JY3FvGVVPltZWCiiivYOM+EPHnjLxNd/wDBSr4j+HfjH4jvLX+z/D+lw/CPSdQdYbW50iW1jm1G4tBkfaJjexOsrfMyJBGDtUAnx/4BftI6Pqvxx+MemW/7aN7o/giy8U2reEo7TxjYWVs9zNA0upeQSCZ4hOyESZK/McE8gfoZ+0R+yd+zl+1noFh4Y/aM+EWkeLLLSrs3Wmx6lG262lKlGKOhV1DA8qDhtqkglVx1PgT4c+A/hj4M0z4efD7wlYaRoei2SWml6ZY26pFbQoMKigfz6k5JyTXxNfhXG1czq4mGJcFLVNX5tem60XTXtofoNfijIp5OoRw167p06bTUVTh7PkvUg9ZOdTkXNeKtz1PelzafKvwq+Nltr0knhnwF+0rc+MrxJhdeUvim31C5i6IMCDnZkgYIILN719b+G5dUn8P2U2txBLxrVDcqOz7Rn9atR28ER3RQIp9VUCn17GUZPXyyrOdXESqc1t76W9Wz43GYyGJjGMaajbt/wyCiiiveOAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigD50/bS/4Ko/sbfsEeKdL8C/H/wAaav8A27qmkz6sujeGfDN5q1zaaZCcTahcpaxube2Q5BlfC8H0Ne4fDX4k+A/jH8PtF+K3wu8VWeueHPEWmQ6homsafLvhvLaVA8ciH0KkdeR0IBr8uv8AgpL4Y+Mv7Mv/AAVI+Iv7Wdz+zP4/+I3g74tfskah8OvDU3gDwtNrEllr/wBpMiWl1HCCbeCUYPnN8gLHPQ19jf8ABG39nb4p/sof8ExPg38AfjZYtZ+KtA8Ioutae8odrKWWWSf7OSpILRiQIcEgFSBQB9NUUUUAFFFFAHK/G740fD39nj4U638afirq01l4f8P2n2jUbi2sZbmUKWVFVIoVaSR2ZlUKqkksK479iv8AbZ+BH7fvwW/4X5+zrqWq3Ph4azd6U7azo81hcJdWzBZkaGYB12sccjrn0rs/jV8WNB+Bfwt1n4teJ9A1/VLDQ7UXFzp/hfQZ9T1CZd6riG1t1aWZssDtVScAnoDX59f8G1Hj3WNG/Zt8Yfs9eO/gl8S/CPiG2+I3iHxPnxr8PNR0m1nsL6/LW/lT3MSJJKVILRqSyjqKAP0tooooAKKKKACvli+/4LK/sI6P+0lp37L/AIj8beI9I1rWPFEnhvRtd1jwRqVroeoavG/lvZQajLCtvLKJPk+ViN3Ga+p6/IP9pj9o6/8A27P+Cp3hn4Y/tP8A7N3xs8N/BL4E/EO3uvBVjpfwY1i9Xxz4oimaGPUrm9itzFa6ZA3zJhv3qtvZgrEKAfr5RRRQAUUUUAFeN/te/t0/A79ibRtM1X4v2Pi7UJdY+0NY6Z4L8FX+t3ZigQPPO8VnE5jijVlLSPtUZHNeyV8ef8Fh/HHwtX4K2vwb+Mnwz/aN1HRvEUN1c2+vfs86fqMt1b3cMRjS0uX05vNVJhOxCSKYHMfzkbRQB9AfsrftUfA39tP4F6H+0f8As5eNU1/wl4gjkbTtQW3eFt0cjRyRvHIAyOjqyspHBFeh18Z/8EA/hd+0V8GP+CV3w3+Gv7Tnw7/4RXxBpaXqWWiT6fFa3UGmm6ka0N1HEAq3DRkM5I3EnLfMTX2ZQAUUUUAFFFeX/trWP7R+q/smfELSf2QWs1+Jt54WurfwTLf3KwxRX8ibEkLuQqldxYE8blGaAOS/Z7/4KY/sh/tS/tTfET9jv4IfEC41rxn8LVP/AAl6RabILOBllWF0juCNkrJKSjBScMrDsa99r8af+CMf7O37Y/7L/wDwVx8U+FfGf/BPmf4feEl+BWiaFq+uHxx/atqslufNN8t+tnFHqV5dXBZ5okKtEZWYlgMV+y1ABRRRQAUUUUAfLvxq/wCCuf7L/wAEP2ite/Za1LwT8VfE3i7wvbWFx4gtvAXwq1XXIdPjvYzJbNLLZwuqB1VsZx9xh/CcfUMbiRFkAIDAEBhg1+OH/BY34ca/o/7RPxG+JH7EHw5/a70f9qDxJf8Ahu38Ka54Cs7yLwdrEVqIlRrmaH/RJLdInuVZbs71kJwAjHP68fD4eMB4B0MfEMwHxANHtv7cNrjyvtnlL52zHG3zN2PagDYooooA/9k=", 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", "info": {"equation": "4*8=32", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "3b1f7ab440e501ca723d71d021686c38cdb3b976e519d8648e1fb0b232f61619"} +{"episode": 954, "episode_seed": 3734433528, "split": "train", "timestamp": "2025-10-28T03:42:50.788987", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3734433528, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 7, 4, 6])", "action": "('move', [2, 7, 4, 6])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "48-48=0", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "48-48=0", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "255b8b28d8bf1939a4558768768324a6ad73953a15208451612866af7c981d37"} +{"episode": 955, "episode_seed": 2009223458, "split": "train", "timestamp": "2025-10-28T03:42:50.826015", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2009223458, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 0, 1, 0])", "action": "('move', [0, 0, 1, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "17/1=17", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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"info": {"equation": "17/1=17", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "c2f9a33e47531c56cf96edd6cc37245992c79a4e6bdac1d10534aa8b7ab286bb"} +{"episode": 956, "episode_seed": 1503203765, "split": "train", "timestamp": "2025-10-28T03:42:50.872298", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1503203765, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 0, 1, 0])", "action": "('move', [0, 0, 1, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "17-1*3=14", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "17-1*3=14", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "28166f904c7d1a32939c2725466cf8e65ef474cb2711aee0bf9b25dd4d5424c3"} +{"episode": 957, "episode_seed": 1721735326, "split": "train", "timestamp": "2025-10-28T03:42:50.914740", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1721735326, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 0, 4, 1])", "action": "('move', [3, 0, 4, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "84-18=66", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "84-18=66", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "69d3ab188d4988e3e2de84d8bed6b7c898c838959533af36601fbe55d9c43815"} +{"episode": 958, "episode_seed": 1322419255, "split": "train", "timestamp": "2025-10-28T03:42:50.947376", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1322419255, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 1, 1, 7])", "action": "('move', [0, 1, 1, 7])", "reward": 0.0, "image": 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", 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", "info": {"equation": "6+5=11", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "6+5=11", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "2706d6736dd98d546b70f08e2a8f3c4c674bcb93c7479906dcc7434738717fab"} +{"episode": 959, "episode_seed": 3655434769, "split": "train", "timestamp": "2025-10-28T03:42:50.988807", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3655434769, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 0, 0, 0])", "action": "('move', [2, 0, 0, 0])", "reward": 0.0, "image": 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", "info": {"equation": "7+1*5=12", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "7+1*5=12", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "6ab86ed5a393b82babd453331e36c3ee149f2f25c6a8e6822e51e166ad6706ed"} +{"episode": 960, "episode_seed": 2592974531, "split": "train", "timestamp": "2025-10-28T03:42:51.030471", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2592974531, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 7, 1, 0])", "action": "('move', [2, 7, 1, 0])", "reward": 0.0, "image": 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", "info": {"equation": "57-13=44", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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"info": {"equation": "57-13=44", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "bce0e57dabc7cddde1673aebed012e336590278606785cdea7f4dd126416c68b"} +{"episode": 961, "episode_seed": 3827063925, "split": "train", "timestamp": "2025-10-28T03:42:51.077440", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3827063925, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 4, 3, 0])", "action": "('move', [0, 4, 3, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "97+70=167", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", "info": {"equation": "97+70=167", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "e61c0f5d6d18435a61444c41d7e37d926cb0e6f2bd59cd9d6c0fe787871d4779"} +{"episode": 962, "episode_seed": 1598364269, "split": "train", "timestamp": "2025-10-28T03:42:51.119653", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1598364269, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 4, 1, 1])", "action": "('move', [0, 4, 1, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "98-36=62", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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8N9NfxovxR0myTxFIjNcLB9gsU2DJ2j5SVyFzgkZwTXDxbhp16eG5ZuP7xR0/vdfVW09T7jwm48wHBDzNYnCKv7eg4q9tGr+7K/8Ay7nze/a792OjOY8Qn9mz466xpnhv4kftB2XxLjs75rjR/DXibxpZ6lbG58t1EwtVws0ixtIAWVtoZiADyPaP+CTRNt+zdrmgeHGkfwRpHxG1qy+GkxjXyn0RJUKiB1z51uly13HFISd0ca8sMMdf/gop8HPhd8afh14O+H/xV8EWWt6LdeOkkn0+6DBHZNM1BkOUKsMMAeDXX/sQeH9D8J/szaB4W8MaTBYabpt5qlrYWNrGEjt4Y9SukSNQOgCgAfSubKMvrYHiScKlZ1Gqd7vrdpWer2PlsTnNGpwi8Kua8qitF25IKKb5o6355NtP3YpK+snL3fWK8O/4KVeJvjF4N/YN+Kfif4BPfJ4ssvCc8mmS6ZFvuYVyomkiHXesJlYEfMCoI5Ar3GggMCrAEEcg19nXputRlTTtdNXW6ut/kfL5XjI5dmdDFypqoqc4ycZbS5ZJ8r8naz8mfza/8EXfi7418A/tSXXh23+OepeC/C+taLcS+KLq216GxjnaFGNsXkmypYSyYGPmIduxav2V+AvxfbxLrsOg/Dv9oa48cXEV9HNNE/ieDUXhVsLh/IxtjIU/eH94g17j8C/2TP2bf2Zv7b/4UJ8G9E8Lf8JHfC71v+y7bb9qlG7aTknCrvfagwq7jgDJr0GOCCI5ihRSeu1QK+LwnCWOo04xeLkknflje299NV+W5+l+JniJlvHHFE8zwuD9nFwjH3rczsvilZNX15Vq/djH0T6KKK+5PyY/NL/g568U/GXRP2OvCuh+B5b+Lwnq/i3yfG0lnH+7cJH5lpFMw5EZlVmAPyl40zyFB+Y/+CI3x28R6f8AAbxJ4L+If7V+reENB0XWok8KaV/wl9rYRr5qyS3XlpMCxXe0bHHyhnbHJav2c+O/hD4L+PPhDr/hT9oiw0W58FXdif8AhIo/EM6RWQgVg++V3ZRGFZVYPkbSoIIIBqD4B+BPgP4F+EGheFv2c9I0CDwVbWhPh9PDsqTWbRM7OXjkUsJAzszFtxySSSTXyWZcP4nHZs8RTxLp3ilpe6t21Wj39T9hwviJgcP4S/6sSwHNP23P7Wy5d+a97X9rb3P+vfXofAth4J+B3g/43/B/4l/s1z6ZqXj7WPi7CkniPSLqHUdQ12yuXca893OCzTRramWR3PELrEF2bgrfpdXxF8E/gF8F/Cv7csPxv8O/DfTbTxdrfxL8T2+qa/GjGeeIR6qNnJIUfuo87QM7BnNfbtPhGhKhhKycm/3klr5WV/n1PjuLc1p5j9VhGUpuFPWU/ibk2+Vay9yH2bu7blK0b8qK/BX/AIOb/E/xkv8A9tvRPCXjCW/XwdYeEYJvB0Eke21aSVj9skQjh5DIiKxPzAJGOBjP71V8q/8ABRj4DfBz49eOPAWk/GX4d6f4jtdL0bXbzT7fUVYpDOJdMXeArDPBIwcg9xW/FtJ1MjqNO3K0/XVKz++/yPd8IuL8JwTxrSzLE0Pax5Zxsrc0eZfFG+l9LPVe7KR8n/se/GHQviR+xF4O0P8AaL/bLvorjU/C7Weu+Hbv4hWdnG1lukijt3jTa8aNbCNSNwYhjkgk171+wnoHg/4b/tv638O/2dtLs9O8GXHwvi1Dxro/h63iGmWuqi6gj0uY7OIrmaz+15AwZI4InbPDH3e503Trj/gnzJbzWELI/wAGyrIYxgg6TjFcB/wTj+Bfwf8AgB4n8beEvgv8PtP8OaddaNod3c2unq2JZ2k1JTIzOWZjtVRyeAOK8PD5ViMDn2E9pXlPmUnrfRJbbvR3Ma3E+GxWCzOqqbpqtJ2pRt7Jc873eq1p6ciUd0nzLls/qiiiiv0E/ODx/VPg3+xJefte2XxT1fw94Ib41Jo+bGea+hGsmzEbxeatuX3Moj8xPN2EhQV3YGB64traowZLaMEdCEFfzF/tI/GP9qnQf+CoXin4neIPF+taN8SdO+Is8FrfvItvPZIspggjTd8iRC3KIoPyGM85Ukn9nPBPx08JnxNHYaD+2ddeIbu8DW9vpNx49s7rzmb+5HGA5fjjac9a+Fhxlg6EqsZUGnzPa2vnLaz77n7R4i+GmYcLUMsnVx6xCrUU1dt8lrPlhq/3fve49L+9oj7corF+Hlzrd54J0268RB/tj24MxkGGPJwWB6EjBPvW1X2tCqq9CNRK3Mk7PdXV9T8aqQ9nNx7Ox5L+3l4g+LnhX9jL4m+JPgOLz/hL7LwZfTaC2nQ+ZcJOIid0S93UbiuATkDAJwK/n8/4I8/FHxh4I/bNt/s/xjvfCGka1o97H4r1eHWYbMywrE0savNOCBm5WHp8xJ9Ca/pdr4h/4Jv/ALP/AMFfhH8V9O8RfDb4a6Zo9/4m+HV1d6/d20bGS9m+0aa25y5OPmkc4GBljxXyHEuCqYvNcJGFVwcuZJrpZXutVq9j9f4F4+wHDfAmc5RWwaqzxKjyydrK65fevr7nxwte077bnmHxe8O/sd/FHw14n+JfxR+L+neNdT0fwuw/4SjVPFlvqF/oFvG5kiks2Rh9lkFwVZGQB3k2KS2Qtfdv7J+r/E/xB+zB8O9d+NcFzH4wvPBWmTeKI722EMy37WsZnEkYACP5hbKgDByK+Zf+Ckf7P/wU+LHxWuPFPxJ+Gmma1qHhf4aSXWgXF7Gx+xTeddNvVQQrHdGh+YEfKOK+1bElrKFmJJMS5J+lPhvB1MHmuLpzqObjypt9bpu71eq2PkM7zili+HMJhlzN3lL3rWppe6oU9W7S0lPSOqilH3buWvzq/wCDmHxP8YtA/YQ0zTvh5NfxeH9V8YW9t43lso8qbTy3eFJmHKxtcLF7FginqAf0VryL9uvwl4b8efsu+IfBXjHR4tQ0rVbzSrXUbGfOyeF9TtVdDgg4IJHBBr6HOaTrZVXgnb3X+Cv+Oxy8EZ5R4b4uwWZ1qSqxpVIycX1V+l9OZbx/vJH5Bf8ABDr45+J9I+FHjDwL47/ao1Twd4Z0nVLZ/DGmr4ttbCLzphM12UWYFiMiFiB8oLEjlmr9Mf2YdD8I/EDxfofiPwZ43/4SK00fWLnUbrW7bVIr37TdNBPE/nTJlS5+0EkDB4Haun/4J6fCn4b/AAh+G3iv4e/DLwXYaLomn+NW+x6dZxYSPfpunuxyxJJLMxJJJya+gI444l2xRqo9FGK+Tybh6tXoYbFTxMnFcs1C2itqkve0+7Y93xA4vwvEnFeOx+HwypRrSdlpe1lG8rL4pW5pav3m9XuOooor74/OT+f/AP4OUPFnxovP+ChEfh7xpcahF4Z0jwxZSeA43QpAI5EVrqaIjhnNyrqzfe/dIOirX2H+yz+0Fa/EH9lrwdqH7Q/7bV/NrWr+G4z4n0bVviBYxpMH3AwzRcMA0RUMpIbDHJBzX318c/2T/wBnD9pi/wBA1P49fB7RfFNx4XvDdaDLqtuXNpKShbGCNysY0yjZVtoyDiu/NnaE5NrGT/uCvjK/C+MrY+tXjinBTd9L39HqtFst9D9h4j8TMszrgXKcip4FRqYNNSnpZ6W93Rv3/jqXt76W+55T+y74RFidc8e7pSNaW0gj3Y8tkgEpDpxzkzkZyR8ox0NetUAADAFFfS5bgll2BhhlK/Kt9r63PyXE13ia8qjVrhX5PeOPjb4n8O/saan418TfF2/0b4rS/Esx6rcXN1bw6ha+If7aVHtPLkysUcduqqoxhbVEkB2/Of1hrztP2TP2bo/2gZP2qU+DeiD4hy2X2WTxX9m/0povKEXXO3d5YEe/G7Z8uccV52fZPWzeNJU6nJySv/wV5rp6vU+m4XzvKsojVWNo+0TcJxsou8qfN+7lfanU5vfau/dXuvp8t6F8Sfhj4r8V2Onx/tXv4yu47l30jSNQ8cWl7++Mbp5kcUeGaQRvIvfCu3HcfXPwI8HN4D+FemeHX84Nvubp1nADq1xcSXBUgAYwZSAOoA55rq1tbVGDJbRgjoQgqSoynIqmW4uWIq13UlJcuq6Xvu2zw8Xj44miqcYKKTvp/wAMgooor6I84KKKKACiiigD80v+DnrxT8ZdE/Y68K6H4Hlv4vCer+LfJ8bSWcf7twkfmWkUzDkRmVWYA/KXjTPIUH5j/wCCI3x28R6f8BvEngv4h/tX6t4Q0HRdaiTwppX/AAl9rYRr5qyS3XlpMCxXe0bHHyhnbHJav2p+Kfwr+Hfxu+H+qfCr4s+ELPXvDutW4h1TSb+PdFcIGDAHGCCGVWBBBBUEEEA1F8Kvg58Lvgf8P9N+Ffwl8DafoPh7R4mj03SrGHEUCs7O2M5JJZmYkkkliSSTXymZcO4vHZo8VTxDppxS0vdW6LVaPfffofr2F8Scsw/hT/qpLBKVX23tPaaWtfm5tr+0/wCXe1vZ9eh4F+yxoPhXxv4w0Hxb4M8Xf29YaLf3t/JrVrqUd4t1dSw3EUrSzJlWdmuZGIGDuHQAEV9RUiRxxLtjQKPRRilr1cnyv+ycK6Lm5tycm2rau3m+3c/LMZivrdVT5bWVrBXxT8dPHdzpv7eHjey+L/i5tN0jSfh5pk/gyDU7hLeyGnO0z6pdRsxAdxNFAszHlEjhztUgt9rV578fv2Uf2cv2prTR7H9oX4QaN4si0C9N3o6atAX+zSsAGK4IyrBV3Icq21cg4FTnuW1c1y94enPld0/J26P+t7Hq8OZjl+XYyf12LdOcXFuKTnH3oyUoqTSv7vK9V7spa9H8A/stfHXwv4v/AGZ/D8XxT/bZ1IC7srm3l0fVPHNhaCTTRcTR20U1uFBjDWghDJw2GOcHNfcH7K3haGCfW/iDbO7Q6vZ2NrbMpBieKA3Dq6ED5gftJGckHAx0OfW1sLFFCJZxAKMACMYAqUAAYAwB2Fedl/DlbB46GJq4mVTkTSTXdW6yf9WJzXOaGYVazo0FSjUk5WW0U3dJWS22XkFFFFfUngnnd/8Asmfs3an+0Bb/ALVGofBzRZviFa2f2W38VPbk3KReW0XrtLeWzJvI3bTtzgAV6AtraowZLaMEdCEFSUVEKdOnflSV3d26vu/M6cRjMXi1BV6kp8kVGPM2+WK2ir7RV3ZLRBRRRVnMeUft0698UvC/7HfxJ8Q/BV79PFFn4RvJdIl0qDzbqJxGd0kKYO6VU3MoAJ3AYBOBXw74++M3gTwX8Tvgf4e+Fv7SL+HNJvtF1Jb290vxFaQ+foK2CGGWWeXdtzdw2qqQcuwlHO1sfpzXnXwU/ZI/Zq/Zy1jxD4g+B3wZ0PwzeeK7wXXiCfTLbabyQM7LnJIVQ0jkIuFG44Ar5rOsjxOaYulVpVnDkTXW6v1Vmtej1Wh9hkme5Vl+U1aGJoc9T33DSNpOcFD329UqdueFlL3rr3b8y+YvB8vgL40XWq+FfDvx0k8c6rq2mfYLm4Pie31G6tbV96gKIhhEDSM2SuMnk9q+4IIhDAkIOQiBefYUkdvBEd0UKKfVVAp9dOTZNPKpVZTqupKdrtrtfzd9z53G41YtRShyqN9vP7gr5i/4KUeJdf0AfCa1vdbutN8GXvxIiTxhdxEJAWS0nl0+K5kJHlwvfJbjkgM4jUn5gD9O1h/Er4a+A/jF4D1X4YfE/wAK2mt+H9bs2tdV0q/j3RXETdVI6g5AIIwQQCCCAa78yws8dgalCMuVyVr/ANdO/kb5JjsPl2aU69eHNBXTWjdpRcbxvpzRvzRvpzJH52eGfj5o1r+1J8U/CbftdXvhjQNNTRfLsLTxZZWECau1vKl6ilwWkZYobIOCTscsvBBA+rv2VfiPf+OdVtG8NfFCTxfpEFvJBd6r/a0d6rFASN8sXyGQMwHY4PPSvVvg/wDA74R/AD4e2Hwo+DXgDTvD3h3TPM+w6VYQ4jiLu0jn5slizszEkkkmupjjjiXbFGqj0UYr5vAcMYzC1KU54uTUGnyq9tOi97bptt0PSznOsvxmJqfVaHLBpRTdlJ8sVHmkldKUrczSk7SfxPduooor7E+YCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArkPj58d/hX+zF8G/EPx9+NviqLRPCvhbTmvdZ1KVGfyowQAFVQWd2YqiooJZmUAEmuvr5N/wCC3vwV+J/x5/4Js+OPB3we8JXniHXNP1PQtei8O6dHvuNUg03WLO+ntok/jkaG3k2p1Zgqjk0Aeyfsl/tefA/9tf4UH4w/AbXb2602DVrnS9TstW0qawvtMv7dgs1rdW06rJBKuVJRgDh1PQivTq+Lv+CNvhbx/qEH7QX7S/iv4a+JPB+j/GP496j4m8G6B4u0iTT9RGmCxsrRLme1kw9u8sltI2xwG2hSeor7RoAKKKKAPG/2yv28f2c/2DfC+geLf2idf1OytfEuuxaTpK6VodxfO9xIyqC4hRhFGC6Au5C5dRySBXslfDH/AAcI+LNStf8Agn/c/DXw18LPHXivWvE/i/QW02x8EeC73WHjWy1eyvZ3mFrG5hXyYJCrNgMwCjk19lfDH4gaV8V/hzofxN0LStWsLLxBpUGoWllr2lS2N7BHLGHVJ7eYLJBKAcNG4DKQQQCKAN2iiigArwL4lf8ABS/9k34RftWaF+xz8QvFOtad4s8Rajbabpt7N4Wvf7IbUbmEzW9g2o+V9mF1JGAyxb92CM4zXvtfnH+3d8a7/wCNX/BVz4Q/so/FP4K/FK3+Ffww8SaT4uXxD4e+GWp6lY+JvF0h2abC97BC0NpY2QnM88rtzJhG2rGzUAfo5RRRQAUUUUAeBfs7f8FLP2Vf2oPj94i/Zm+GOu+IYvF3hzTH1N7HxD4RvtMTUtPS5Nq17ZSXMSLd24mGzzY8qSRjI5r32vzV/YO0rxT8QP8AgtJ8RP2k/hj8FPjToHgrWPhRNYfEC7+Nej3MP2LxENXEsFhoz3RYraCIzu0dsxts7Cvav0qoAKKKKAI7q6trG1kvb24SKGGMvLLIwCooGSxJ6ADnNeU/sY/ttfs9/t9/CGf46fszeKLnWfDMGv3mjjULnT5Lbzbi2ZVkKLIAWT5gVccEGsT/AIKX/D/9oX4sfsO/ED4XfsuaJDqXjDxHpkWm2+nza4mmG5sprmKO/iS7dWW3kaza5VJCrbWZTtJGK+ev+DfLwV8e/ht+z98XPA/xt/ZXf4UQQ/H/AMUXXh7Q21Q3KfZ5rrLRQEwReZbQlVjiuVBS4QCRQo4oA++qKKKACvGv2xP26fgr+xDpvhe9+LukeL9TufGWtS6V4c0jwR4Qu9bvry5jtpLl1W3tEeQhYYpHJA4Ck9q9lr4d/wCC5Hgj4aeJ/gz4V8ReOfBP7QF/rHh681W88C6x+z5a3b6jpetvp0tvA072f7+KOQTOgYfuz8wkIU4IB9meAfGWnfETwNo3xA0jTtSs7TXNKt7+2tNY06Szu4Y5o1kVJ4JQJIZQGAaNwGVgQQCDWtXkn7BKftCR/sUfClP2sGuD8Sh4C0v/AITc3hUz/wBpfZk87zdvy+buzvxxv3V63QAUUUUAeI/Gz/goZ+zF8Av2hvDP7LfjrxHrE/jPxPBBcx6doXhq81FNLtZ7j7NBdX8tvG6WMEk+Y1klKqWB5wM17dX48/8ABRH4BftkeC/+CxuqfGr9n/SvjCuufEAfDtPhxq/gcXP/AAjPlWGovFrttr7R/uViSyeWVEn+U/aGKZfp+w1ABRRRQAV81/Av/gqp+zR8fv2nm/ZB8OeFviTofjc6Te6nb2XjT4balo8N1Z2kqxTTxS3USLJHvdQGXIJYYPNfSlfHn7JvgLxz8Vf+Cpv7RP7X/wAQfBmr6ZpfhnTdH+F3wzl1jTpbf7VY20f9o6pdQeYo8yGW9uURZUyr/ZTgnFAH2HRRRQB//9k=", 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", "info": {"equation": "98-36=62", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "0b55213625f96ccf200af6196396d52d3bcd5ac99fb0c5fdfff6a5d3693cd4a6"} +{"episode": 963, "episode_seed": 117299848, "split": "train", "timestamp": "2025-10-28T03:42:51.162028", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 117299848, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 6, 1, 7])", "action": "('move', [0, 6, 1, 7])", "reward": 0.0, "image": 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", 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Sbl7LT1ba8zG8DSMWJZmIVRkk8KAOBX09X0vCsOTIqOt73f4vQ/OOLswpZjncqlPmajGMeaVuefLFLmlZtXfa7sklzO12V/L94r+NH7Veg/8ABTLU/ij4q8ba3oPxNX4iS22pak8y2txZlpjbPFl/kjiWA+WAf3YjAH3a/qBrzxP2Tv2b4/2gJP2qU+Dmij4hy2X2STxX9nP2povLEWM527vLAj343bPlzjiqz7J6+bxpKnU5OSV+v3q3VdPV6n2Hhd4iZdwCsxWKwar/AFmi4R20evuyv/y7nf37Xfux0Z80+Bfjl4Uk8TjS/DX7ZF34lu71WgttJuPHdpdmXndlI4gHLgL1HbNfYnga41q68H6dc+IUYXr2iG43jDE46kdiRgkeua0VtbVGDJbRgjoQgqSjKcmxGW15VauIlVurWd9NfNv+rn5vi8ZTxNNRjTUbdv8AhkFFFFe+cAV/OJ/wXQ8YfHjUv+Co3i6Px7caokmi3FlD4EikhIWLTgiSQNbgcMGlaRsjJMhbPIIH9HdfEf8AwUW+Anwa+J/xv1D4g/EL4c6drGteFvhraT+HtQvUZmsZPtOpvuQAhSdyKw3A4KgivlOMKLq5SmpNWlH530/C9z9Y8HeNsFwLxPUxuJw3tozpThZWum7NNX0s7csutm97Wf1f8AtR+IGr/AnwVq3xZtpIPFV14S02bxNDNAInj1BrWNrhWReEIlLgqOB0rraKK+phHlgo3vY/LcRVVevOooqPM27LZXd7LyWyCvmr9szxbo3w1n1LxbpVobq/SyiWPTkCD7VfyuIraFcsoLSSPGpyR97Oa+hfFXiXTvCOhT6/qjHyoFHyr952JwFHuSa+XvD/AIB1L9pb493k2spJ/Zvg20OqySFgqT65cq6WaEGM7lgg86RsMMNPAcEjj5Lip/XVTy+lFSqSfN6KKevz2XzPSylexcsRN2itPVv/ACPW/wBiPT/Cdl+y/wCFLjwnM0326ze71i6mgSOafVJJXa+aZUZgsv2nzlZdzbSu3JCivVq+f/2R4ta8DfEHxX4HlC/2LrNz/a9hDvRWs784S8i2BAdshWOYHLHeZ87crn6Ar2slxlLHZZTqU1ays12a0a/rocWNozoYmUZa9b90wr8Ff+Dm/wAUfGS//bb0Twl4wlv18HWHhGCbwdBJHttXklY/bJEI4eQyIisTyAkY4GM/vVXn3x9/ZT/Z0/altNHsf2hPhDo/iyLQL43ejpq0Bb7NKQAxXBGVYKu5TlW2rkHAqM9y2rm2XvD058run5O3R/1ukfeeFfG2B4A4vp5ti6HtoKM42VuaPMvijfS/R6r3XI/Ob9j74waF8SP2IvB2g/tGftlX0dxqfhdrPXfDt38QbOzjay3SRR28ka7XjRrYRqRuDEMckEmvdv2EfCfgP4aft16/4N/Zz8P6dpnhW9+FVvd+OtP8O2cK2EGpJdxJpLsY/wDVzy2j3x2jG+ONJCCSGb6r/aN0vTZf2dvHlrJp8JjbwVqiMnljBX7JKMfTFeIf8E4/gX8H/gB4n8beEvgv8PtP8OaddaNod3c2unq2JZ2k1JTIzOWZjtVRyeAOK+XpZRiMv4gwsamIlUupPW+lltq3owq8UYbGYHM60abpqvJ2pRt7Jc8r3eq1p6ciUd0nzLls/qiiiiv0A/ODx/VPg3+xJefte2XxT1fw94Ib41Jo+bGea+hGsmzEbxeatuX3Moj8xPN2EhQV3YGB64traowZLaMEdCEFfzF/tI/GP9qnQf8AgqF4p+J3iDxfrWjfEnTviLPBa37yLbz2SLKYII03fIkQtyiKD8hjPOVJJ/ZzwT8dPCZ8TR2Gg/tnXXiG7vA1vb6TcePbO685m/uRxgOX442nPWvhYcZYOhKrGVBp8z2tr5y2s++5+0eIvhpmHC1DLJ1cesQq1FNXbfJaz5Yav9373uPS/vaI+3KKxfh5c63eeCdNuvEQf7Y9uDMZBhjycFgehIwT71tV9rQqqvQjUStzJOz3V1fU/GqkPZzcezseS/t5eIPi54V/Yy+JviT4Di8/4S+y8GX02gtp0PmXCTiIndEvd1G4rgE5AwCcCvwA/wCCO/xe8e+BP2wI9OtPjfqfg/QNf0y7PjHUINdisluEihkkgMks+VLfaCmD9752A4Zq/pZr4h/4Jv8A7P8A8FfhH8V9O8RfDb4a6Zo9/wCJvh1dXev3dtGxkvZvtGmtucuTj5pHOBgZY8V8hxJgquKzXCRhVcHLmV10sr3Wq32Z+v8AAvH2A4b4EznJ62DVWeJUeWTtZXXL719fc+OFr2nfbcj8Hy+AvjRdar4V8O/HSTxzquraZ9gubg+J7fUbq1tX3qAoiGEQNIzZK4yeT2r7ggiEMCQg5CIF59hSR28ER3RQop9VUCn17GTZNPKpVZTqupKdrtrtfzd9z8rxuNWLUUocqjfbz+4K/Or/AIOYfE/xi0D9g/TNO+Hst/F4e1Xxhb23jeWyjyptPLd4UmYcrG1wsXsWCKTyAf0VryL9uvwl4b8efsu+IfBXjHR4tQ0rVbzSrXUbGfOyeF9TtVdDgg4IJHBBrqzmk62VV4J291/gr/jse3wRnlHhvi7BZnWpKrGlUjJxfVX6X05lvH+8kfj9/wAEM/jNrXh74W+NvBvjL9py/wDBXh2z1i1n0Gwh8U2mnJLcyxyfanAlBZztjtsn7o7ck19T6t4M+Bvhj4kfDX4vfs532m6x8S9T+MVj9j8U6Zew6nqmtC5nRNaW4nBYyxLpz3DyfwwKiFRHnn61/wCCenwp+G/wh+G3iv4e/DLwXYaLomn+NW+x6dZxYSPfpunuxyxJJLMxJJJya8i8AfAP4M6J+3hH8etJ+HGmweMtR+KWrWl74hVGNxJALK9XZy21RtjQEqASF5PJz+ewyqvTw2BryryanOCUdbRvrpq9vRH6HnPHWBzfjTM81p0ZUYTUmoRtapaKio1dUuWesqlue7bSWvMvt+iiiv1Q/Ez4c+NfjyOw/bY+LVl8bfGcmmabpXgzSH8KQanPHb2segtbu19dwFiBITe+YkznO3ybdTgFd3lH7MXx28O+Mf2ZPCZ+Mv7bF/LdahoITV9F1fx3YW6zWzFlSGaABSgaDYGTgjcQcHNfe/x0/ZO/Zv8A2mb/AEDU/j38HdF8VXHhe8a60GXVbcubSRihbGCNysY0JRsq2wZBxXfmztCcm1jJ/wBwV8ZX4XxlbH1q8cU4Kbvpe/o9Votlvofb4ziPKKuVUaVLDfvbU1NtRSj7OHIuRq7ftPjqXUfeS+Lc8p/Zd8IixOuePd0pGtLaQR7seWyQCUh045yZyM5I+UY6GvWqAABgCivpctwSy7AwwylflW+19bnx+JrvE15VGrXCiiiu4wCiiigAooooAK8J/aY+GzePPHA0f+ypEbXtETS3vrZSZHi3zcZOVBTzpGHHG4k8V7tRXm5rlyzTCewcuVXT+53sdOExLwtXnSvo0FFFFekcxleNfCdn428OT+Hr2ZohLhkmUZMbg5Bwev09DTfA/hCy8D+HIfD9lM0ojJaSZlwZHJyTgdPQD0A69a16K5vqmG+tfWeX37ct/K97GntqnsvZX9297eZyfh/4SaP4f8dXXjeC+kdpy7Q2zIAsTOfnOe/t6ZPXt1lFFGGwmGwcHCjHlTbb9XuFWtUrSTm7tKwUUUV0mZj/ABC0pdd8Ba1ocmnJeJe6VcQSWkmdsyvGyshxzyCRx6151+y94MfSr/X/ABnLFPGdQt7KxVJFwu22a5bI4znNwwPOPlA4INeu0V5tfLlWzOljHL+GpK3fm0/r5HTDEuGFnRt8TWvoFFFFekcx53f/ALJn7N2p/tAW/wC1RqHwc0Wb4hWtn9lt/FT25NykXltF67S3lsybyN207c4AFegLa2qMGS2jBHQhBUlFRCnTp35Uld3dur7vzOnEYzF4tQVepKfJFRjzNvlitoq+0Vd2S0QUUUVZzHlH7dOvfFLwv+x38SfEPwVe/TxRZ+EbyXSJdKg826icRndJCmDulVNzKACdwGATgV8O+PvjN4E8F/E74H+Hvhb+0i/hzSb7RdSW9vdL8RWkPn6Ctghhllnl3bc3cNqqkHLsJRztbH6c1518FP2SP2av2ctY8Q+IPgd8GdD8M3niu8F14gn0y22m8kDOy5ySFUNI5CLhRuOAK+azrI8TmmLpVaVZw5E11ur9VZrXo9VofYZJnuVZflNWhiaHPU99w0jaTnBQ99vVKnbnhZS96692/MvCPgh8Yx4g1saB8Ov2j7nxveLcxztbv4pt9RkiX7nIgwVjOecjHevrwZxzTI7eCI7ooUU+qqBT67Moyqtlin7SvKq5W36W+b/pI+cxmKhinHlgo27f8Mgr5i/4KUeJdf0AfCa1vdbutN8GXvxIiTxhdxEJAWS0nl0+K5kJHlwvfJbjkgM4jUn5gD9O1h/Er4a+A/jF4D1X4YfE/wAK2mt+H9bs2tdV0q/j3RXETdVI6g5AIIwQQCCCAa7Myws8dgalCMuVyVr/ANdO/kdGSY7D5dmlOvXhzQV01o3aUXG8b6c0b80b6cyR+dnhn4+aNa/tSfFPwm37XV74Y0DTU0Xy7C08WWVhAmrtbypeopcFpGWKGyDgk7HLLwQQPob9mHQ/CPxA8X6H4j8GeN/+EitNH1i51G61u21SK9+03TQTxP50yZUuftBJAweB2r374P8AwO+EfwA+Hth8KPg14A07w94d0zzPsOlWEOI4i7tI5+bJYs7MxJJJJrqY444l2xRqo9FGK+YwfCmIoVKM6uJclTaly2drrorvT1tsepnGeYHFYmp9TocsHFRTdlJqMVHmkldKUrc0kpOze73bqKKK+0PlgooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK5D4+fHf4V/sxfBvxD8ffjb4qi0Twr4W05r3WdSlRn8qMEABVUFndmKoqKCWZlABJrr6+Tf+C3vwV+J/x5/wCCbPjjwd8HvCV54h1zT9T0LXovDunR77jVINN1izvp7aJP45Ght5NqdWYKo5NAHsn7Jf7XnwP/AG1/hQfjD8BtdvbrTYNWudL1Oy1bSprC+0y/t2CzWt1bTqskEq5UlGAOHU9CK9Or4u/4I2+FvH+oQftBftL+K/hr4k8H6P8AGP496j4m8G6B4u0iTT9RGmCxsrRLme1kw9u8sltI2xwG2hSeor7RoAKKKKAPG/2yv28f2c/2DfC+geLf2idf1OytfEuuxaTpK6VodxfO9xIyqC4hRhFGC6Au5C5dRySBXslfDH/Bwj4s1K1/4J/3Pw18NfCzx14r1rxP4v0FtNsfBHgu91h41stXsr2d5haxuYV8mCQqzYDMAo5NfZXwx+IGlfFf4c6H8TdC0rVrCy8QaVBqFpZa9pUtjewRyxh1Se3mCyQSgHDRuAykEEAigDdooooAK8C+JX/BS/8AZN+EX7Vmhfsc/ELxTrWneLPEWo22m6bezeFr3+yG1G5hM1vYNqPlfZhdSRgMsW/dgjOM177X5x/t3fGu/wDjV/wVc+EP7KPxT+CvxSt/hX8MPEmk+Ll8Q+HvhlqepWPibxdIdmmwvewQtDaWNkJzPPK7cyYRtqxs1AH6OUUUUAFFFFAHgX7O3/BSz9lX9qD4/eIv2ZvhjrviGLxd4c0x9Tex8Q+Eb7TE1LT0uTate2UlzEi3duJhs82PKkkYyOa99r81f2DtK8U/ED/gtJ8RP2k/hj8FPjToHgrWPhRNYfEC7+Nej3MP2LxENXEsFhoz3RYraCIzu0dsxts7Cvav0qoAKKKKAI7q6trG1kvb24SKGGMvLLIwCooGSxJ6ADnNeU/sY/ttfs9/t9/CGf46fszeKLnWfDMGv3mjjULnT5Lbzbi2ZVkKLIAWT5gVccEGsT/gpf8AD/8AaF+LH7DvxA+F37LmiQ6l4w8R6ZFptvp82uJphubKa5ijv4ku3Vlt5Gs2uVSQq21mU7SRivnr/g3y8FfHv4bfs/fFzwP8bf2V3+FEEPx/8UXXh7Q21Q3KfZ5rrLRQEwReZbQlVjiuVBS4QCRQo4oA++qKKKACvGv2xP26fgr+xDpvhe9+LukeL9TufGWtS6V4c0jwR4Qu9bvry5jtpLl1W3tEeQhYYpHJA4Ck9q9lr4d/4LkeCPhp4n+DPhXxF458E/tAX+seHrzVbzwLrH7PlrdvqOl62+nS28DTvZ/v4o5BM6Bh+7PzCQhTggH2Z4B8Zad8RPA2jfEDSNO1KztNc0q3v7a01jTpLO7hjmjWRUnglAkhlAYBo3AZWBBAINa1eSfsEp+0JH+xR8KU/awa4PxKHgLS/wDhNzeFTP8A2l9mTzvN2/L5u7O/HG/dXrdABRRRQB4j8bP+Chn7MXwC/aG8M/st+OvEesT+M/E8EFzHp2heGrzUU0u1nuPs0F1fy28bpYwST5jWSUqpYHnAzXt1fjz/AMFEfgF+2R4L/wCCxuqfGr9n/SvjCuufEAfDtPhxq/gcXP8AwjPlWGovFrttr7R/uViSyeWVEn+U/aGKZfp+w1ABRRRQAV81/Av/AIKqfs0fH79p5v2QfDnhb4k6H43Ok3up29l40+G2paPDdWdpKsU08Ut1EiyR73UBlyCWGDzX0pXx5+yb4C8c/FX/AIKm/tE/tf8AxB8Gavpml+GdN0f4XfDOXWNOlt/tVjbR/wBo6pdQeYo8yGW9uURZUyr/AGU4JxQB9h0UUUAf/9k=", 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", "info": {"equation": "0+7*4=28", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "0+7*4=28", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "fe962e5aed90cfbe9613353b6dc212a89dcfb04b78e0364edad00276691708d5"} +{"episode": 964, "episode_seed": 3709883833, "split": "train", "timestamp": "2025-10-28T03:42:51.199369", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3709883833, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [1, 1, 0, 4])", "action": "('move', [1, 1, 0, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "66/6=11", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "66/6=11", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "b0db7ac19ee31c2afb04154745aae7116e6a81888bfe2fb0cfc4ab5e4f4b1330"} +{"episode": 965, "episode_seed": 2803006246, "split": "train", "timestamp": "2025-10-28T03:42:51.227882", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2803006246, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 0, 2, 4])", "action": "('move', [4, 0, 2, 4])", "reward": 0.0, "image": 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"info": {"equation": "8/8=1", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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"info": {"equation": "8/8=1", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "b6ecf4e03ff847cd042a7d1b8fe1be7cf29c886fba8bc3a617f66e80204877e5"} +{"episode": 966, "episode_seed": 3056270477, "split": "train", "timestamp": "2025-10-28T03:42:51.274572", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3056270477, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [7, 4, 1, 7])", "action": "('move', [7, 4, 1, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "3+13*7=94", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "3+13*7=94", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "4296d023675ef5e06bab2aa997be45bd1a7c9cd31e16586514778d05cd3eca2f"} +{"episode": 967, "episode_seed": 341891909, "split": "train", "timestamp": "2025-10-28T03:42:51.316732", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 341891909, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 5, 6, 4])", "action": "('move', [0, 5, 6, 4])", "reward": 0.0, "image": 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", 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/a898ScFmvBOS5PTwPs54S96tkrtaXpve8n79TVfvEtep8y/sB+GPCPw5/bc8c+B/gDoFjpvg6f4d6fe+MNO0KxhTT7TXBdMlmQYxiOeSy80vGMZSOFyAWDP9uV8w/wDBO74JfCX4Ba/478DfBnwDYeHdJeDSbl7LT1ba8zG8DSMWJZmIVRkk8KAOBX09Xr8Kw5Mio63vd/i9D874uzClmOdyqU+ZqMYx5pW558sUuaVm1d9ruySXM7XZX8vPjb4s/tOWH/BTDUPib448U6tpHxLg+JTx32oXJSC4sZPP+zlR5nyRIkPyLn5FjAx8oBr+oavPE/ZO/Zvj/aAk/apT4OaKPiHLZfZJPFf2c/ami8sRYznbu8sCPfjds+XOOKrPsnrZvGkqdTk5JX/4Kt1XT1ep9j4XeImX8ALMfrWDVf6zRcI7aPX3ZX/5dzv79rv3Y6M+PPEJ/Zs+OusaZ4b+JH7Qdl8S47O+a40fw14m8aWepWxufLdRMLVcLNIsbSAFlbaGYgA8j2j/AIJNE237N2uaB4caR/BGkfEbWrL4aTGNfKfRElQqIHXPnW6XLXccUhJ3Rxrywwx1/wDgop8HPhd8afh14O+H/wAVfBFlrei3XjpJJ9PugwR2TTNQZDlCrDDAHg11/wCxB4f0Pwn+zNoHhbwxpMFhpum3mqWthY2sYSO3hj1K6RI1A6AKAB9K8bKMvrYHiScKlZ1Gqd7vrdpWer2PncTnNGpwi8Kua8qitF25IKKb5o6355NtP3YpK+snL3fWK8O/4KVeJvjF4N/YN+Kfif4BPfJ4ssvCc8mmS6ZFvuYVyomkiHXesJlYEfMCoI5Ar3GggMCrAEEcg19nXputRlTTtdNXW6ut/kfL5XjI5dmdDFypqoqc4ycZbS5ZJ8r8naz8mfzS/wDBG/x98TNI/bL8P+AvDvie8h8Oa/emfxRpqTjybw29vcNbO6t95klfKlfmG5v4d1fsn+zN8QdU/wCEu1vwR4R+Ib3uoWnji9mufDqamkhsUkuCAGhX5oo3GX+bglmYH06r4n/so/s5fsw+BYm+AHwf0bwofEfxB0+71s6TblPtUoE20nJOFXe+1BhV3NgDJr0f9jqNB8KLyQINx8Xazlscn/Tpq/NsJw7iaObxwjrtNQ5rxvtz/CtV6+vQ/VvEzj7L+OM6nnGFwvs4NRhaVuZuMfila6vryrX4Yx16Hq1FFFfpx+Nn5pf8HPXij4y6J+x14V0PwPLfxeE9X8W+T42ks4/3bhI/MtIpmHKxmVWYD7peNM8hQfl7/gh98adW0P4FeKvCHjj9qPUPBeh6dr8TeHNNi8V2mnI7yxu106rKN78iHJ6AnA5zX7XfFP4V/Dv43fD/AFT4VfFnwhZ694d1q3EOqaTfx7orhAwYA4wQQyqwIIIKggggGovhV8HPhd8D/h/pvwr+EvgbT9B8PaPE0em6VYw4igVnZ2xnJJLMzEkkksSSSa+TzLh3FY7NHiqeIdNOKWl7ryWq0e++/Q/XsL4k5bh/Cn/VSWCUqvtvae00ta/NzbX9p/y72t7Pr0Pz2sPBPwO8H/G/4P8AxL/Zrn0zUvH2sfF2FJPEekXUOo6hrtlcu4157ucFmmjW1MsjueIXWILs3BW/S6viL4J/AL4L+Ff25Yfjf4d+G+m2ni7W/iX4nt9U1+NGM88Qj1UbOSQo/dR52gZ2DOa+3aOEaEqGErJyb/eSWvlZX+fU+R4tzWnmP1WEZSm4U9ZT+JuTb5VrL3IfZu7tuUrRvyor8Ff+Dm/xR8ZL/wDbb0Twl4wlv18HWHhGCbwdBJHttXklY/bJEI4eQyIisTyAkY4GM/vVXkX7Wnwh/Yq+K+neGov2zdD8FXdtY61nwsfGV/FbL9tcD91CZHTzGcKMxchtoypwMenn2XTzPLnQjPld07vbTo/63se14TcY4bgbjKnmdfDOvHlnHlik5rmXxQv10s9vdcj4C/Y++MGhfEj9iLwdoP7Rn7ZV9Hcan4Xaz13w7d/EGzs42st0kUdvJGu140a2EakbgxDHJBJr3b9hHwn4D+Gn7dev+Df2c/D+naZ4VvfhVb3fjrT/AA7ZwrYQakl3Emkuxj/1c8to98doxvjjSQgkhm+q/wBo3S9Nl/Z28eWsmnwmNvBWqIyeWMFfskox9MV4h/wTj+Bfwf8AgB4n8beEvgv8PtP8OaddaNod3c2unq2JZ2k1JTIzOWZjtVRyeAOK+YpZRiMv4gwsamIlUupPW+lltq3oyKvFGGxmBzOtGm6arydqUbeyXPK93qtaenIlHdJ8y5bP6oooor9APzg8f1T4N/sSXn7Xtl8U9X8PeCG+NSaPmxnmvoRrJsxG8Xmrbl9zKI/MTzdhIUFd2BgeuLa2qMGS2jBHQhBX8xf7SPxj/ap0H/gqF4p+J3iDxfrWjfEnTviLPBa37yLbz2SLKYII03fIkQtyiKD8hjPOVJJ/ZzwT8dPCZ8TR2Gg/tnXXiG7vA1vb6TcePbO685m/uRxgOX442nPWvhYcZYOhKrGVBp8z2tr5y2s++5+0eIvhpmHC1DLJ1cesQq1FNXbfJaz5Yav9373uPS/vaI+3KKxfh5c63eeCdNuvEQf7Y9uDMZBhjycFgehIwT71tV9rQqqvQjUStzJOz3V1fU/GqkPZzcezseS/t5eIPi54V/Yy+JviT4Di8/4S+y8GX02gtp0PmXCTiIndEvd1G4rgE5AwCcCv5/P+CPPxR8YeCP2zLc23xjvfCOka1o97H4r1iHWYbMywrE0savNOCBm4WHp8xPsTX9LtePfsyfBj9iD4a+JPGt9+yh4c8D22qahrGPHX/CK3sM8kd4rynyrhUdvIZWaXEWFAO7CjFfPZ5klfNMZRqU63s+W/e/rHVa99VofrfBHiDg+GeBs4yergfbSxSjadlaN/d99tPSPxU9/f7XufF/xq8I/sX/GLwf4t8d/GH4qaT49u9O8JyRT+Ida8UW2p3miWiszxm12nFu3nlSpVQ0khVCWBC194/sn6v8Ttf/Zf+HeufGuC5i8YXngnTJvFEd7bCGZb9rWMziSMABH8wtlQBg5FfMv/AAUj/Z/+CnxY+K1x4p+JPw00zWtQ8L/DSS60C4vY2P2Kbzrpt6qCFY7o0PzAj5RxX2rYktZQsxJJiXJP0ri4bwdTB5rjKc6jm48ibfW6bu9Xqttz5XO84pYvhzCYZczalKXvWtTS91Qp6t2lo56R1UUo+7dy1+dX/BzD4o+MXh/9hDTNO+Hs1/F4e1Xxhb23jeWyj+U2nlu8MczDlY2uFi9iwRT1AP6K1zHxo8K/Cbxt8J/EHhb472GkXPg680uVfEkevSrHZi0C7naV3IEaqBu35G3aGBBGa+lzLCyxuAqUIy5XJNX/AK6d/I4+Cs8pcNcWYLNKtH20aNSMnDq/T+8t4/3kj8TP+CHXxz8T6P8ACjxh4G8eftT6r4O8M6Vqds/hjTV8W2unxedMJmuzGswLEZEJIHygsSOWavqPVvBnwN8MfEj4a/F79nO+03WPiXqfxisfsfinTL2HU9U1oXM6JrS3E4LGWJdOe4eT+GBUQqI88/fn7Ofw+/Z3+H/wb0bwx+zDpHh2HwPCkr6IPDVxHcWbhpXaR0lRmEmZC+W3E5zzxXy34A+AfwZ0T9vCP49aT8ONNg8Zaj8UtWtL3xCqMbiSAWV6uzltqjbGgJUAkLyeTn4LE5DicA8Jz4lyTqQSWto36x1+7RH6Dm3HmDznjLMs2hQlQjNSfs0l+8slHlrK6SU9ZVNJ6txS15l9v0UUV+ln4sfz/wD/AAcoeLPjRef8FCI/D3jS41CLwzpHhiyk8BxuhSARyIrXU0RHDOblXVm+9+6QdFWvsP8AZZ/aCtfiD+y14O1D9of9tq/m1rV/DcZ8T6Nq3xAsY0mD7gYZouGAaIqGUkNhjkg5r76+Of7J/wCzh+0xf6Bqfx6+D2i+KbjwveG60GXVbcubSUlC2MEblYxplGyrbRkHFd+bO0JybWMn/cFfGV+F8ZWx9avHFOCm76Xv6PVaLZb6H7DxH4mZZnXAuU5FTwKjUwaalPSz0t7ujfv/AB1L299Lfc8p/Zd8IixOuePd0pGtLaQR7seWyQCUh045yZyM5I+UY6GvWqAABgCivpctwSy7AwwylflW+19bn5Lia7xNeVRq1woooruMDzj9pjR/7U8I6ddtpa3A0/VhcpLglrdzDLFvGPVZXUk8fPWx8CPBzeA/hXpnh1/ODb7m6dZwA6tcXElwVIAGMGUgDqAOea6+ivNp5coZrPG8zblFRt2s7/18zpliXLCqhbZ3uFFFFekcxwP7R2irrPw9Rn0tbkWepQ3QYgkwFN2JBj0zjnjBNTfs7+D28GfDKGycTB73ULy/kScYZTPO8uMYGB83GecV3HXrRXmxy5LNnjubVw5LfO97nS8S3hFQt1vf5WCiiivSOYKKKKAPCfBXw3ab9oddVOlSWa6NrmoaqywqRG8lxFcxlmLA5Dm5d+CMnpwCK92oorzcry5ZbRnBS5uaTld+Z04rEvEzUrWskvuCvwW/4ObvFPxlvv23NE8J+L5r9PB1h4Rgn8GwPHttWkkY/a5UI4eTzERWJ+YBIxwMZ/emvPvj7+yn+zp+1LaaPY/tCfCHR/FkWgXxu9HTVoC32aUgBiuCMqwVdynKttXIOBWOe5bVzXL3h6c+V3T8nbo/63SPvvCvjbA8AcX082xdD20FGcbK3NHmXxRvpfo9V7rkfnn+xp+0Cvj/APZB8GXX7RH7bWpf2zqWgtHruj6p8QLKESQGSREiliPzgNbiMMGO4hiSck192/sreFoYJ9b+INs7tDq9nY2tsykGJ4oDcOroQPmB+0kZyQcDHQ59bWxsUUIlnEABgARjAFSgADAGAOwrzsv4crYPHQxNXEyqciaSa7q3WT/qx81nWe0s2xWIq08PGkqs5T5Y7RvJy5VotFsvIKKKK+pPnTzu/wD2TP2btT/aAt/2qNQ+DmizfEK1s/stv4qe3JuUi8tovXaW8tmTeRu2nbnAAr0BbW1RgyW0YI6EIKkoqIU6dO/Kkru7t1fd+Z04jGYvFqCr1JT5IqMeZt8sVtFX2iruyWiCiiirOY8l/by8QfFzwr+xl8TfEnwHF5/wl9l4MvptBbTofMuEnERO6Je7qNxXAJyBgE4FfgB/wR2+L3j3wL+2BHp9n8b9T8H6Br+mXZ8Y6jBrsVktwkcMkkBklnypb7QUwfvfOwHDNX9LNedfBT9kn9mv9nLWPEOv/A74M6J4avPFd4LrxBPptttN5IGdhnJIVQ0jkIuFG44Ar5rO8jxOaYulVpVnT5E1pe6v1VmtXs9VofrXBXiNl3C3BObZJXwaqzxaSjLSy0t799bQ+OnZO077XufMXg+XwF8aLrVfCvh346SeOdV1bTPsFzcHxPb6jdWtq+9QFEQwiBpGbJXGTye1fcEEQhgSEHIRAvPsKSO3giO6KFFPqqgU+unJsmnlUqsp1XUlO1212v5u+5+Z43GrFqKUOVRvt5/cFfnV/wAHMPij4xeH/wBhDTNO+Hs1/F4e1Xxhb23jeWyj+U2nlu8MczDlY2uFi9iwRT1AP6K1h/En4beA/jD4D1X4YfE/wtaa3oGt2bWuq6VfR7oriJuqkdRzggjBBAIIIBrvzHCyx2BqUIy5XJWv/XTv5Hs8GZ9Q4X4qwebVqXtYUZqTjpql2vpzLeP95I/EH/gh18c/E+j/AAo8YeBvHn7U+q+DvDOlanbP4Y01fFtrp8XnTCZrsxrMCxGRCSB8oLEjlmr9Mf2YdD8I/EDxfofiPwZ43/4SK00fWLnUbrW7bVIr37TdNBPE/nTJlS5+0EkDB4Havf8A4P8AwP8AhJ8Afh7YfCn4N+ANO8P+HdM8z7DpVhDiOIu7SOfmJJLOzEkkkk11EcccS7Yo1UeijFfMYPhTEUalGdXFOSptS5bO110V3p92x7fHXGmE4r4mxuZ4bCqlGu9Fpe1lG8rL4pW5pav3m9XuOooor7Q/PQooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK5D4+fHf4V/sxfBvxD8ffjb4qi0Twr4W05r3WdSlRn8qMEABVUFndmKoqKCWZlABJrr6+Tf8Agt78Ffif8ef+CbPjjwd8HvCV54h1zT9T0LXovDunR77jVINN1izvp7aJP45Ght5NqdWYKo5NAHsn7Jf7XnwP/bX+FB+MPwG129utNg1a50vU7LVtKmsL7TL+3YLNa3VtOqyQSrlSUYA4dT0Ir06vi7/gjb4W8f6hB+0F+0v4r+GviTwfo/xj+Peo+JvBugeLtIk0/URpgsbK0S5ntZMPbvLJbSNscBtoUnqK+0aACiiigDxv9sr9vH9nP9g3wvoHi39onX9TsrXxLrsWk6SulaHcXzvcSMqguIUYRRgugLuQuXUckgV7JXwx/wAHCPizUrX/AIJ/3Pw18NfCzx14r1rxP4v0FtNsfBHgu91h41stXsr2d5haxuYV8mCQqzYDMAo5NfZXwx+IGlfFf4c6H8TdC0rVrCy8QaVBqFpZa9pUtjewRyxh1Se3mCyQSgHDRuAykEEAigDdooooAK8C+JX/AAUv/ZN+EX7Vmhfsc/ELxTrWneLPEWo22m6bezeFr3+yG1G5hM1vYNqPlfZhdSRgMsW/dgjOM177X5x/t3fGu/8AjV/wVc+EP7KPxT+CvxSt/hX8MPEmk+Ll8Q+HvhlqepWPibxdIdmmwvewQtDaWNkJzPPK7cyYRtqxs1AH6OUUUUAFFFFAHgX7O3/BSz9lX9qD4/eIv2ZvhjrviGLxd4c0x9Tex8Q+Eb7TE1LT0uTate2UlzEi3duJhs82PKkkYyOa99r81f2DtK8U/ED/AILSfET9pP4Y/BT406B4K1j4UTWHxAu/jXo9zD9i8RDVxLBYaM90WK2giM7tHbMbbOwr2r9KqACiiigCO6uraxtZL29uEihhjLyyyMAqKBksSegA5zXlP7GP7bX7Pf7ffwhn+On7M3ii51nwzBr95o41C50+S2824tmVZCiyAFk+YFXHBBrE/wCCl/w//aF+LH7DvxA+F37LmiQ6l4w8R6ZFptvp82uJphubKa5ijv4ku3Vlt5Gs2uVSQq21mU7SRivnr/g3y8FfHv4bfs/fFzwP8bf2V3+FEEPx/wDFF14e0NtUNyn2ea6y0UBMEXmW0JVY4rlQUuEAkUKOKAPvqiiigArxr9sT9un4K/sQ6b4Xvfi7pHi/U7nxlrUuleHNI8EeELvW768uY7aS5dVt7RHkIWGKRyQOApPavZa+Hf8AguR4I+Gnif4M+FfEXjnwT+0Bf6x4evNVvPAusfs+Wt2+o6Xrb6dLbwNO9n+/ijkEzoGH7s/MJCFOCAfZngHxlp3xE8DaN8QNI07UrO01zSre/trTWNOks7uGOaNZFSeCUCSGUBgGjcBlYEEAg1rV5J+wSn7Qkf7FHwpT9rBrg/EoeAtL/wCE3N4VM/8AaX2ZPO83b8vm7s78cb91et0AFFFFAHiPxs/4KGfsxfAL9obwz+y3468R6xP4z8TwQXMenaF4avNRTS7We4+zQXV/LbxuljBJPmNZJSqlgecDNe3V+PP/AAUR+AX7ZHgv/gsbqnxq/Z/0r4wrrnxAHw7T4cav4HFz/wAIz5VhqLxa7ba+0f7lYksnllRJ/lP2himX6fsNQAUUUUAFfNfwL/4Kqfs0fH79p5v2QfDnhb4k6H43Ok3up29l40+G2paPDdWdpKsU08Ut1EiyR73UBlyCWGDzX0pXx5+yb4C8c/FX/gqb+0T+1/8AEHwZq+maX4Z03R/hd8M5dY06W3+1WNtH/aOqXUHmKPMhlvblEWVMq/2U4JxQB9h0UUUAf//Z", 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", "info": {"equation": "34+49=83", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "34+49=83", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "125dfceab1b2cd3820b4ab13c39c4c7b0c73972ab857e91cf6985d4b7903ec9e"} +{"episode": 968, "episode_seed": 1816886359, "split": "train", "timestamp": "2025-10-28T03:42:51.354414", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1816886359, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 1, 6, 4])", "action": "('move', [0, 1, 6, 4])", "reward": 0.0, "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": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "66/11=6", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "3d7c42a6310ed7a111046eb8e5003d6761038da17882815a737bb2725f819be4"} +{"episode": 969, "episode_seed": 2982125637, "split": "train", "timestamp": "2025-10-28T03:42:51.401585", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2982125637, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [1, 6, 2, 7])", "action": "('move', [1, 6, 2, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "10+8*4=42", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "10+8*4=42", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "3aad6c41398015f85e8c84f4121521c1c4b6f75a2e7de6632c3b707eff763c38"} +{"episode": 970, "episode_seed": 3767368945, "split": "train", "timestamp": "2025-10-28T03:42:51.445857", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3767368945, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [7, 1, 2, 0])", "action": "('move', [7, 1, 2, 0])", "reward": 0.0, "image": 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", "info": {"equation": "2+7*2=16", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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+Esv7S/upGWC4gZt9s1vhvkWLyD5QU/II8AfLiv6l68Y+MX7J37OEXiLxd+1TH8HdFHxDl8HX9o/iv7OftRi+xvF1zt3eWBHvxu2fLnHFeZxBlFbNYUvZ1OTkd/8Ag+q6er1P1Hwt8Q8u4B/tFYrBqv8AWaXs47aPX3ZX/wCXc7+/a792OjPAPDfji38H/Guz0qD4iHSLrVfAllBY6SNUSE6kVnnY7Yzh5XjA42cqHbPWvtHwNca1deD9OufEKML17RDcbxhicdSOxIwSPXNeD/scIjfEjVWZASPAmi4JHT99e19G15vB2AqU8HHFuq2pppR6K0n5/ot2fAZxXjKs6PKrp79XoFFFFfZnjBX84n/BdDxh8eNS/wCCo3i6Px7caokmi3FlD4EikhIWLTgiSQNbgcMGlaRsjJMhbPIIH9HdfEf/AAUW+Anwa+J/xv1D4g/EL4c6drGteFvhraT+HtQvUZmsZPtOpvuQAhSdyKw3A4KgivlOMKLq5SmpNWlH530/C9z9Y8HeNsFwLxPUxuJw3tozpThZWum7NNX0s7csutm97Wf1f8AtR+IGr/AnwVq3xZtpIPFV14S02bxNDNAInj1BrWNrhWReEIlLgqOB0rraKK+phHlgo3vY/LcRVVevOooqPM27LZXd7LyWyCvmr9szxbo3w1n1LxbpVobq/SyiWPTkCD7VfyuIraFcsoLSSPGpyR97Oa+hfFXiXTvCOhT6/qjHyoFHyr952JwFHuSa+XvD/gHUv2lvj3eTaykn9m+DbQ6rJIWCpPrlyrpZoQYzuWCDzpGwww08BwSOPkuKn9dVPL6UVKpJ83oop6/PZfM9LKV7FyxE3aK09W/8j1v9iPT/AAnZfsv+FLjwnM0326ze71i6mgSOafVJJXa+aZUZgsv2nzlZdzbSu3JCivVq+f8A9keLWvA3xB8V+B5Qv9i6zc/2vYQ70VrO/OEvItgQHbIVjmByx3mfO3K5+gK9rJcZSx2WU6lNWsrNdmtGv66HFjaM6GJlGWvW/dMK/Bb/AIObvFHxlvv23NE8J+L5r9PB2n+EoJ/BsDx7bVpJGP2uVCOGk8xEVifmASMcDGf3pr5V/wCCjHwG+Dnx68ceAtJ+Mvw70/xHa6Xo2u3mn2+oqxSGcS6Yu8BWGeCRg5B7ivP4tpOpkdRp25Wn66pWf33+R+heEXF+E4J41pZliaHtY8s42VuaPMvijfS+lnqvdlI+W/2NP2gV+IH7IPgy7/aI/ba1H+2NS0Fo9d0fVPiBZQiSAySIkUsZ+cBrcRhgx3EMSTkmvu79lbwtDBPrfxBtndodXs7G1tmUgxPFAbh1dCB8wP2kjOSDgY6HPV/s8WVn/wAKA8Df6JF/yJ2mcCMf8+kVdqAAMAYA7Cscs4erYXGU8XVxMqnKnZNd1bdt/wBWPlc8zylmmLxFSnQjSVWcpcsdo3k5cq0Wi2XkFFFFfVnzh4/qnwb/AGJLz9r2y+Ker+HvBDfGpNHzYzzX0I1k2YjeLzVty+5lEfmJ5uwkKCu7AwPXFtbVGDJbRgjoQgr+Yv8AaR+Mf7VOg/8ABULxT8TvEHi/WtG+JOnfEWeC1v3kW3nskWUwQRpu+RIhblEUH5DGecqST+zngn46eEz4mjsNB/bOuvEN3eBre30m48e2d15zN/cjjAcvxxtOetfCw4ywdCVWMqDT5ntbXzltZ99z9o8RfDTMOFqGWTq49YhVqKau2+S1nyw1f7v3vcel/e0R9uUVi/Dy51u88E6bdeIg/wBse3BmMgwx5OCwPQkYJ962q+1oVVXoRqJW5knZ7q6vqfjVSHs5uPZ2CiiitSD+dX/g4J8WfGrVP+CmniTS/iHcaimnaPYafH4EhmjKRpp7QI5eADhg1ybjL8kspU/dAH71fsoav8UPEH7MPw8134221xD4xvPBWmTeKYru3EMq6g1rGZw6DhG8wtlR0ORXzP8A8FJvgL8Gvi78V5/FfxO+HOna5qHhb4aSXXh+5v0ZjZTeddNvVQwVjujQ4YEfKOOtfadiS1lCzHJMS5J+lfJZJh3Sz3HXk3rH/wAmu/w2Xkfr3HfHeB4m4JyTK6OEVKeFg4ylpq0ox922tpW553+13tdy1+dX/BzD4n+MWgfsH6Zp3w9lv4vD2q+MLe28by2UeVNp5bvCkzDlY2uFi9iwRSeQD+iteRft1+EvDfjz9l3xD4K8Y6PFqGlareaVa6jYz52TwvqdqrocEHBBI4INe3nNJ1sqrwTt7r/BX/HY+K4Izyjw3xdgszrUlVjSqRk4vqr9L6cy3j/eSPx+/wCCGfxm1rw98LfG3g3xl+05f+CvDtnrFrPoNhD4ptNOSW5ljk+1OBKCznbHbZP3R25Jr6sv/DHwZ8HfET4d/Fj9mnWbLVPiTrnxdsYo/E+kajFqOp6/HcXMY1qO6mDMZ4FsPOkkU/JAIo2UR8Z+sP8Agnp8Kfhv8Ifht4r+Hvwy8F2Gi6Jp/jVvsenWcWEj36bp7scsSSSzMSSScmvIvAHwD+DOift4R/HrSfhxpsHjLUfilq1pe+IVRjcSQCyvV2cttUbY0BKgEheTyc/ntPKsRTw2BryryanOCUdfdv216eiP0POeOsDm/GmZ5rToypQmpNQja1S0VFRq6pcs9ZVLc922kteZfb9FFFfqh+Jnw58a/Hkdh+2x8WrL42+M5NM03SvBmkP4Ug1OeO3tY9Ba3dr67gLECQm98xJnOdvk26nAK7vM/wBkT9pO1ufgB4H8TfEX9ufUodZGlxTXOn6l460+3+RXbyVlt9o2ZhEe5DgjJBwc192fHT9k79m/9pm/0DU/j38HdF8VXHhe8a60GXVbcubSRihbGCNysY0JRsq2wZBxXfmztCcm1jJ/3BXxlbhjG1cfWrwxTgpu+l7+j1W2y307H2+M4jyerlNGjTw3721NTbUVGPs4ci5Grt+0+OpdR95L4tzh/wBn7WPEeteEprzXLqW4hNzmxuZnLGRCATgn7y56H3I7V3lAAAwBRX0+AwssFg4UJTc3FWu92fHV6qrVpTStfoFZvjHTxq3hLVNLNilyLnTp4jbSZ2yho2Gw45wc449a0qK6px54ON7XMovlkmeN/su+Bf7I1rWfF7W88Pm6daaZHDIm1AsDzvwCM5BlKnnsB1zXslFFcOV4COWYCGGUublvrtu2/wBTfFV3iq8qrVr/APDBRRRXoHOFeE/tMfDZvHnjgaP/AGVIja9oiaW99bKTI8W+bjJyoKedIw443EnivdqK83NcuWaYT2Dlyq6f3O9jpwmJeFq86V9Ggooor0jmMrxr4Ts/G3hyfw9ezNEJcMkyjJjcHIOD1+noab4H8IWXgfw5D4fspmlEZLSTMuDI5OScDp6AegHXrWvRXN9Uw31r6zy+/blv5XvY09tU9l7K/u3vbzOT8P8Awk0fw/46uvG8F9I7Tl2htmQBYmc/Oc9/b0yevbrKKKMNhMNg4OFGPKm236vcKtapWknN3aVgr4p+Onju5039vDxvZfF/xc2m6RpPw80yfwZBqdwlvZDTnaZ9Uuo2YgO4migWZjyiRw52qQW+1q89+P37KP7OX7U1po9j+0L8ING8WRaBem70dNWgL/ZpWADFcEZVgq7kOVbauQcCuDPctq5rl7w9OfK7p+Tt0f8AW9j3OHMxy/LsZP67FunOLi3FJzj70ZKUVJpX93leq92Utej+Cv2P/wBo/S7z4AeE9d8bftz6ra3kccpgsNQ8cafakWUd1KtmslvtBjzarBuQ4PJzg5r71/Z217xD4i8M3WpatfyXdpJOr6fdySFxKrDcxVv4kyQQRxyfSu9WwsUUIlnEAowAIxgCpQABgDAHYVw5bkGKwOMjXqYqVRJNWd7a/wDbz/qxnm2b4bMa1WdLDxpKcnJJWtFNt2Wi229Aooor6Y8M87v/ANkz9m7U/wBoC3/ao1D4OaLN8QrWz+y2/ip7cm5SLy2i9dpby2ZN5G7aducACvQFtbVGDJbRgjoQgqSiohTp078qSu7u3V935nTiMZi8WoKvUlPkiox5m3yxW0VfaKu7JaIKKKKs5gooooA8M/ak+Hf/AAm/idNMXSZA2uaE2ktfWykyFHaTKZOVG3zGYcdyTkCvcYIhDAkIOQiBefYU6ivNweXRwmMr4jmu6rTt2srfM6a2JdajTp2ty3+dwr5i/wCClHiXX9AHwmtb3W7rTfBl78SIk8YXcRCQFktJ5dPiuZCR5cL3yW45IDOI1J+YA/TtYfxK+GvgP4xeA9V+GHxP8K2mt+H9bs2tdV0q/j3RXETdVI6g5AIIwQQCCCAa1zLCzx2BqUIy5XJWv/XTv5HZkmOw+XZpTr14c0FdNaN2lFxvG+nNG/NG+nMkfnZ4Z+PmjWv7UnxT8Jt+11e+GNA01NF8uwtPFllYQJq7W8qXqKXBaRlihsg4JOxyy8EED6G/Zh0Pwj8QPF+h+I/Bnjf/AISK00fWLnUbrW7bVIr37TdNBPE/nTJlS5+0EkDB4Havfvg/8DvhH8APh7YfCj4NeANO8PeHdM8z7DpVhDiOIu7SOfmyWLOzMSSSSa6mOOOJdsUaqPRRivmMHwpiKFSjOriXJU2pctna66K709bbHqZxnmBxWJqfU6HLBxUU3ZSajFR5pJXSlK3NJKTs3u926iiivtD5YKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACuQ+Pnx3+Ff7MXwb8Q/H342+KotE8K+FtOa91nUpUZ/KjBAAVVBZ3ZiqKiglmZQASa6+vk3/gt78Ffif8AHn/gmz448HfB7wleeIdc0/U9C16Lw7p0e+41SDTdYs76e2iT+ORobeTanVmCqOTQB7J+yX+158D/ANtf4UH4w/AbXb2602DVrnS9TstW0qawvtMv7dgs1rdW06rJBKuVJRgDh1PQivTq+Lv+CNvhbx/qEH7QX7S/iv4a+JPB+j/GP496j4m8G6B4u0iTT9RGmCxsrRLme1kw9u8sltI2xwG2hSeor7RoAKKKKAPG/wBsr9vH9nP9g3wvoHi39onX9TsrXxLrsWk6SulaHcXzvcSMqguIUYRRgugLuQuXUckgV7JXwx/wcI+LNStf+Cf9z8NfDXws8deK9a8T+L9BbTbHwR4LvdYeNbLV7K9neYWsbmFfJgkKs2AzAKOTX2V8MfiBpXxX+HOh/E3QtK1awsvEGlQahaWWvaVLY3sEcsYdUnt5gskEoBw0bgMpBBAIoA3aKKKACvAviV/wUv8A2TfhF+1ZoX7HPxC8U61p3izxFqNtpum3s3ha9/shtRuYTNb2Daj5X2YXUkYDLFv3YIzjNe+1+cf7d3xrv/jV/wAFXPhD+yj8U/gr8Urf4V/DDxJpPi5fEPh74ZanqVj4m8XSHZpsL3sELQ2ljZCczzyu3MmEbasbNQB+jlFFFABRRRQB4F+zt/wUs/ZV/ag+P3iL9mb4Y674hi8XeHNMfU3sfEPhG+0xNS09Lk2rXtlJcxIt3biYbPNjypJGMjmvfa/NX9g7SvFPxA/4LSfET9pP4Y/BT406B4K1j4UTWHxAu/jXo9zD9i8RDVxLBYaM90WK2giM7tHbMbbOwr2r9KqACiiigCO6uraxtZL29uEihhjLyyyMAqKBksSegA5zXlP7GP7bX7Pf7ffwhn+On7M3ii51nwzBr95o41C50+S2824tmVZCiyAFk+YFXHBBrE/4KX/D/wDaF+LH7DvxA+F37LmiQ6l4w8R6ZFptvp82uJphubKa5ijv4ku3Vlt5Gs2uVSQq21mU7SRivnr/AIN8vBXx7+G37P3xc8D/ABt/ZXf4UQQ/H/xRdeHtDbVDcp9nmustFATBF5ltCVWOK5UFLhAJFCjigD76ooooAK8a/bE/bp+Cv7EOm+F734u6R4v1O58Za1LpXhzSPBHhC71u+vLmO2kuXVbe0R5CFhikckDgKT2r2Wvh3/guR4I+Gnif4M+FfEXjnwT+0Bf6x4evNVvPAusfs+Wt2+o6Xrb6dLbwNO9n+/ijkEzoGH7s/MJCFOCAfZngHxlp3xE8DaN8QNI07UrO01zSre/trTWNOks7uGOaNZFSeCUCSGUBgGjcBlYEEAg1rV5J+wSn7Qkf7FHwpT9rBrg/EoeAtL/4Tc3hUz/2l9mTzvN2/L5u7O/HG/dXrdABRRRQB4j8bP8AgoZ+zF8Av2hvDP7LfjrxHrE/jPxPBBcx6doXhq81FNLtZ7j7NBdX8tvG6WMEk+Y1klKqWB5wM17dX48/8FEfgF+2R4L/AOCxuqfGr9n/AEr4wrrnxAHw7T4cav4HFz/wjPlWGovFrttr7R/uViSyeWVEn+U/aGKZfp+w1ABRRRQAV81/Av8A4Kqfs0fH79p5v2QfDnhb4k6H43Ok3up29l40+G2paPDdWdpKsU08Ut1EiyR73UBlyCWGDzX0pXx5+yb4C8c/FX/gqb+0T+1/8QfBmr6ZpfhnTdH+F3wzl1jTpbf7VY20f9o6pdQeYo8yGW9uURZUyr/ZTgnFAH2HRRRQB//Z", 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", "info": {"equation": "2+7*2=16", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "47321a2b2d6109715ab4b68f813f4a855f972d9849734263a6c2dcf038294c4a"} +{"episode": 971, "episode_seed": 3254927412, "split": "train", "timestamp": "2025-10-28T03:42:51.492384", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3254927412, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [7, 0, 2, 7])", "action": "('move', [7, 0, 2, 7])", "reward": 0.0, "image": 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", 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", 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mRbYgDGV2DCseqhTyME/YNeZ/sc6NpXh39mnwp4e0HTobOxsLKW2srS3QLHBDHPIqIoHRVUAAegr0yuzLI8mXUY3vaMfyR4fE2ZU854jxmPhTVONWrOaitoqUm7fK58sftseJ9Z0v9qb4WaN4h1yex8LS+H9eubJZHWO0udbT7KkayOSMyLZyXzIhPI81gDsJHz1+1P8AEb49v/wQj8deKfh1qurXAn1rUrTT9UgtlE03hN9bliWUFBzC1kQPNH3oTuzg7q+rv+Chvwk+Gvxv+GnhT4e/Frwda67ol144ikuNOvC4R2TT75kOUZSCCAeDR4e8P6HB/wAE17zwnBpMEemR/C3ULOOwjj2xJbi0mjEQUdFCfKAOgr5urhJzz7F++1zUfuvp+Fr/ADZ9XlHEeV5Xg8txDwynUoVoSkmo8so05yno92586jK6suRO8r2h8Hf8GqWsfEyXwH8XNBvorn/hDYNX02fTJGgAh/tN4pVuQr4yW8lLQsueBsPG7n9b6+dP+Cd/wg+GPwN8O+Mvh78IfBNl4f0WHX7eePTrBW2CSSzhLuSxLMScckngAdABX0XXq8NQcMjoK99L/e2/wOLxL4iw3FnHGMzWhS9lCpJWjpf3Yxjd205pW5pWvq3q9z46/wCC83iT4seGP+CZPjy7+Est7FJcPZ2viCbT48yJpUs6pc5I5VGUhHI/gds8EmvzK/4IleNviFqvgH4r+BtY8S3c3hnRfB15caJp8s4MVlczgfaXjHVN4igJ/hymeu7P72eKPDHh7xr4a1Dwd4t0e31HStWspbPUrC7jDxXMEqFJI3U9VZWII9DXyd+0D8CvhD+zj4S074UfA7wDYeG/D1l4C8SS22l6chCK8ktq7uSxLMxY9SSeg6ACvC4tyurUTxyqWjGKTj395fhrf1S+X0fDfHeBwfh3iOFZYVOrWrKoqumiSi358y5OVW05Zy1VrS9U/ZC8d6l470kanZeOn8S6OdLiWLWP7QW6SaVMJkSp8jMdrbsdxyM5r2uq+kokel26xoFHkJwBjsKsV9VleCnl+DVGdRzd27vfV37v8z8qxVeOIrOajyrsjl/jdf8AjnSvgv4v1T4YWzzeJbbwvqEvh2GKESNJfLbSGBQrcMTIEGDwelfF37HfxAe8+MfwA0T4WeNbzWItR8E6pN4uDmOeWTTvsURe6vCctDL/AGnHboTwTK0yEZVgv3zXx3+w18EfhL8Nv2mtc8eeBfAFhpeteLNN8Q3PiTUrdG82/lGsWxDOWJxy7HC4GT0rx86oSnm+BmpNWk9Plf8AG1n5M+myPMcvw+S4yjXpc07NwdlZuUZQ95vVKHNzwtf3lZrXmj+T/wC3b46/alf/AILpahq1smqyeMtI+KGn2vgS1NoGYWSTR/YEijPytG8TK3o3mOzcs1f0SV8dfHz4J/CXxF+3hp3xt13wDYXfizQ9Y8K2mj67MrGa0he8G5U52jPmPzjPzHBr7Fp8PUHRxWMvJv8AedfS/wB+v4H0viPxrg+LctyehQwyovC4dU5NW956LS32Fy3inqnKXqyue+KtvpVx8PtUXWW2wrbFlYKCVcfcIB77sV0NeJ/tgfFRvDHhO40fRrCW+u7SITmyiHNzO2Ft7cHBOXkZR04yDXo55iqeEyupKSvzLlS7uWiX9dD83wNKVbFRS0s7t9kjzv8AZR8Q+FvGn7XGu2+owubrwv4aa18OvJFGYpZnlibUnjbeW3xh7CI/Iu3e4ydxA+sK+Trz4Ha3+zje/D7VNCulutV0G6S/1O6d0H9oyXG5dWXeYgB5pmklUAL86xZKgZH1hHIkqLLGwZWAKsDkEV5/C79hg5YKatUpOzXe+qfz/Q6c0XPWVeLvGa0+W6Fr40/at8axaR+2Xrdl8WPF0ml+G7H4Qw3Phxb6ZILTY93df2vOjMQHlRYtPD5zsRkPAfn7Lr5V/wCClnwQ+EnxwvPB2l/F3wBYeILbStK1y/0+DUFZkhuUFmFkwCM8EjBypzyDV8V03UyOq07Ws/XVaHocLYnBYfNOTFxbpzi4txSco7O8VJpX93leq91s+R/+Cvfjn9pg/wDBDz4UXWqPrMcuuNokPxGlkshDK9p9lkeH7UqgeVvnS2LDA+cqpAztr0z/AINldX+JmofsCapp/jGG4Gh2Pjq8j8IvPAFVrZo4nnEbYy6i5abnnDFhnjA+oP2lvB/hj4ifsNL4J8b6LDqWk6tY+H7bUrG4zsuInvbIMh2kHBHoQat/sD+BPB3ww+BMvw++H3hy20jRdJ8S6hBp2m2akRwR+bnAySTySSSSSSSSSa5qWGlT4og3Nv8Ac/k1H8d/U+5xvHmAxXhdVyCODjCcsW6qkrcsYu7suvMvgT29np5Htdcj8ePCPwX8d/CDX/Cn7RNlotx4Ju7EjxFH4huFishArB90sjsoQKyqwbI2lQQQQK66vzj/AODm3xJ8WNF/YW0TS/A8t7H4e1TxrbweMntEyjQLFJJAkzDlYzOiH0LqgPOAfezPFRweX1K0o8yinp39fLv5HxnA+R1eJOLsFltKt7GVWpFKezjbW8dve093Ve9bVH3n8HPB3wf8H/Crw/4Z+B2laND4Ps9KhTw4miOktobTbmNonUkSKwO7fk7s7sknNdQqqoCqoAHQAV+Lf/BGr486xD+yK3h74n/tf6r4XtdG8SXFp4X0dvGtpYrFY7I5DtjlBcr58k2CeOoHAr9Wv2afFmseM/Dl3r1xrp1TTrlo5dO1ETiVJw6klo3HyshG0grxzxXh5VxPhcxxFPDQpSi2vLlVlfTy6LRdDr414WxPDXEGNwlWuqrpVJLnu7y13d/ta+8ruzvq9z0uiiivqj4oK/nb/Y48dftS6n/wXi0jxHr6atL45vPitd2vi2K4tAZY7DfJFeIyHhIo7QOBjhERdvQV/RJXx54S+Cfwl03/AIKL3Hx3sfAOnx+MdR8bXlhe+IQjG4ltl0FwI+TtAwiDIAJ2jJr5jiOg6tbByUmv3sVp59flb8T9T8N+NcHwngM4oV8MqrxWHlCLdvdeqs7/AGHzXklq3GOnVfYdFFFfTn5Yfm/8Afib47uX+CzJ4tv7n4j6t8Xp08aabNHE12Z996NbhuITzDFbxSPjAHlqttj76bvhv/g4g8XfHR/+Cn4sNRm1RLLRdF0l/hxGsB2hGjSR5IAB+8Y3omUtgktGF6Kor9Pvhz8EfhNon/BQe6+OWl+AbCDxfq/jTVbLUvECqxuJ7ddLlCxnJIUYjj+6BnaM5pP+CinwT+E3xP8Ai7pfjH4g+ArDV9T8KeDXu/Dl5eKzNYTm6J8xACFJyiH5gcFQRX5jUwc48P4iPtH7tf77NR/G9/VI/feEfEHI+GON4ZnHBc8J0KicbRTjOo+e0enJG3s09G4Sk+VX5D6o+FV54v1D4X+G9Q+INu0Ovz6BZya5E8YQpeNAhmUqOFIkLDA4Fb9FFfpsVyxSPwarNVasppJXbdlsr9F5IK8+/aR0gan4ItLg6YLg2Oqx3CvtJMB2SJvGPZyvPGGNeg0Vy4/CfXsFUw/Ny8yav2Kw9X2FaNS17O5y/wAFvCR8D/C3RvDLGXdBbF2E+N4aR2kIOAMYLkY9q6iiitqFJUKMaa+ykvuVjOcnObl3Plf9tjxRrOl/tTfCzRvEOuT2PhaXw/r1zZLI6x2lzrifZVjSRyRmRbOS+ZE7jzWAOwlfm/8AZ6+O/gbxV8MNRtPGn7aF0ukyeKNctNN0W88b2FtbzaOt/PHbxmEAHymgAA5BZCDnnNfoN8df2fPgv+014Bk+F3x6+Hen+J9AkuorltN1JGKCaMkpIpUhlYZIyCOGI6Eg9Jo3hrw94d0e08P6DolrZ2NhbR21laW8CpHBCihUjVQMKqqAAB0Ar5bH8N4vGZlUxMMS4KSSsr30VrbrTr82fX/2/lUcgo4VYe9aLs21HlsnOSaercpc6Uk0rKCacua0PPv2YPC40rQNX8UBpP8AieahHMu7GwrHBHEGTjkHb159q9PoAAGAKK+iy/BrAYKnh078qtfufKYis8RXlUta4V41+1V4Ffxtdabpw0t2N9p13pi3kCkyItxsDoOoH3FYZH8J7A17LRWeaYBZngpYdy5U7a+jT/QrC4h4WuqiV7X/ACGW0It7eO3UkhECgn2GKfRRXoHOcv8AG6/8c6V8F/F+qfDC2ebxLbeF9Ql8OwxQiRpL5baQwKFbhiZAgweD0r83rP43+FvDdz8AbHwp+0zfaBFq/hq/fxBqa+ILW2ubqz+wo0kt1LNkxynUY4VYcEy+cpHyMF/UmuB+Fn7Lf7PPwS8ZeKfiF8KPhHo2ha142vvtninUbG2xJqM++R975JA+eWRsLgEuTjNfO53kuIzWvRnTrOnyX2vfXqtVr032Pq8izvLMuy3EUcTR55yu4aRs24yhabeqUebnhZP3lZpX5o/PvwEj8G/FnxraN4W+LsnjSe312xvdU1Zdfg1GeMW0qzRRyPF8qJ+7IAIBO5sHJ4+wKbHDDDnyolXPXauKdXVk2VSyqlOMqrqOTu2/RLu/zPAxmLWLnFqPKkrWCuYvfhdpN78RIfiFJdv5kSDdbbBtaQLtV89eB29QPoenor0MRhcPilFVY35WpLya2Zz06tSk24O11b5M5r4jfDTTviNBaRXt/JbtaTFg8aBiyNjcvPTOBz29DXRQQxW0CW8K7UjQKijsAMCn0U4YXD0q860Y2lO133tsEqtSVNQb0W3zCvjX9qvxrFpH7ZutWPxX8XSaX4csfhDDc+HFvpkgtCj3dz/a86MxAeVFi08PnOxGQ8B+fsquE+OX7MXwA/aXt9FtPjz8KNI8Ux+HdUXUdFTVYC4tbgDG4YIyCMZQ5VsDIOBXBneXVM1y+WHhLlbaflo9n/W57PD2YYDL8dKWNi3TlFxbik5x1TTjzNK91yvVe65Hwh+zD8bfD3jj4FeA2+Kn7YV3q2rXmlWMt34e1fxrYqs1wGVoEe2QKwcMImEYwQ4AI6ivvD9nbwk3hP4chZBMH1HUbm/dJhgqZXzgDA4wARn1rtvslqG3C2jznrsFSVw5VkFXL8Y8RVxDqPl5dVsrp7tvsRmubUsxnN06KpRlJytHZXvotFor29EFc/8AFT4V/Dv43fD7VPhV8WfCNnr3h3WrcQ6ppN+haK4QMGAOCCCGVWBBBBUEEEV0FFfRyjGcXGSumeTRrVcPVjVpScZRaaadmmtU01qmnqmtjB+HXwv+Hvwl8DaV8NPht4QsdH0HRLJLTStMs4QI7eFRwozkn1JJJJJJJJJrdVVUBVUADoAKWiiMYxSSVkhVatSvUlUqScpSbbbd229W23u31YUUUUyArxfS/h+br9p062dMkthYanNqjNCp2TM9m9qGYnOcrJ2xynsRXtFFefjsAsdOjJyt7Oan62vodFDEOgppK/MmvvCiiivQOc/Kq4+N+raB8IfhfrHij46X/hzx7qvxakh8Z3cupW1pewXhnuxrME3m5FvHDG7qMAbFFuB99d3vPgCbwJ8atauvC2gfHqbxzqWoWyWtxM3ii31G5s7Yvg7REMRpliSWGM96+n/D37Lv7PfhT44a1+0n4d+EmjWnjrxFZLaa14mit/8ASbuECMbWOcDPkxZIALbFyTiu6jt4IjuihRT6qoFfC0+D8VZxqYp8rleyTs9b3eu79Hr3Pt884lyvG11UwWH5b8zbaimpTbbjHlv7kPhjs2ru0b8qfRRRX3R8QFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXj/7Zv7dX7OX7BHw+0/4k/tHeKL6xsdW1Q2GmWukaNcahd3MqwyTyskFujSFIoIZZpHxtRI2YkV7BXwP/AMFuPDnxL0DxF8G/2j/B/wAFvFfj3SPB6+NdG1zQ/BeiSalfJNrfhm70+ym+zx5YxfaSkTv0jWfceAaAPunwr4o8PeOPC+m+NfCOsQajpOsWEN7peoWr7orm3lQSRyoe6sjKwPoav15F/wAE/wD4TeM/gN+wt8HPgn8RY9mv+E/hhoWk63FvDeVd29hDFLHkcEK6sue+2vXaACuZ+M3xe8DfAL4Va/8AGf4l39xbaD4b02S+1Oa0sZbmURIMkRxRKzyOTgKqgkkgCumrkPj98QNK+FfwT8U/EPW9E1rUrXSdEuJ57Dw5o02o304CEbYLaBWkmc54RQSaAIv2dvj58Of2pPgd4X/aH+EV9dXPhnxfpEWpaJPe2b28rwSfdLxv8yHjoea7SvkX/ghTr2pXv/BLX4UeDfEHw+8W+GNY8H+H49B1zSfGXhe60m6S7gVWcpFcojSRfvBtlA2sQwByDj66oAKSSRIo2lkYBVBLE9hS0kjiONpGBIUEkAZJoA8S/ZK/4KFfsx/tr+I/Fvg74GeItYfVvBUtt/bel+IPDd5pdx9nuQ5tryKO6jRpraYRyGOZQVbacds+3V8Bf8Eh/izqH7T37UHx7/aw+K/wg+I3g7xz4qvLHS9M0Hxj8PdQ0i00jwrp0tzDptvFc3MSR3dzM0lxdz+WSENwiDhMn79oAKKKKAPEbr/goV+zRp/7Y9l+wtqWs67a+O9TimOltdeF7yPS76eG1W8ltIb9oxby3CW7LK0SuWVTzg8V7dX57fGfTvFPxN/4Lo/B3xT8Lvg/8XI73wDb61ZfEPWvEulXH/CGR6FNpDmC702WQtbi9ku5YYS8G2YrHIkg2qK/QmgAooooA8s/aw/bL+AX7FXhPw74y/aA8VS6ZaeK/GNh4X0FLaze4lu9SvHKwxKiAnHyszN0VVJNep1+X3/Bwf8ABL9tj4k+JvAXxA+Bf7Ly/E3wp4Tl0ZrOG08TC1utK1yTxPpcr3H2VYJZLhWtrRLczDattFc3MrblVlr9O9OmvbjT4J9Rs1t7h4Vae3WXeInIBZQ2BuwcjOBnFAE1FFFAHmn7WH7V3wr/AGNPhQPjF8XrbXrjTZNastJtbLwxoE+qX93eXcwhghhtrdWkld3YKAoJ5rqfhJ8S9H+Mnw00T4p+H9E1vTbLXdPS7trDxJo02nX8CMOEntp1WSBx3RwCK8K/4Kw+EPhD4y/ZQ+yfHHwd8XdY8P2PivTNRkPwPtbiXxDY3FvKZbe6hFt+/VUmWPLw/OpKnhQxGp/wSmX9pNP+Cd/wnX9rxtZPxC/4Rhf7ePiRs6lt86T7N9rPX7T9m8jzc8+ZvzzmgD6DooooArazrGleHtIu/EGu6hDaWNjbSXF5d3EgWOGJFLO7MeAoUEk9gK8u/ZB/bY+A/wC3J4EvviT+z/f63c6RZX4t1udb8NXem/a0aNZIrq3FzGhntpUYNHMmUcZweCKu/trfDXxf8Z/2N/iz8H/h8R/b3ir4aa7pGiZfaDd3OnzwwjJ6fO6818f/APBvR4a/aH8I/Bbxv4e+Jum/Fmx8F2Nx4etPBWnfGVZ11S1votDtY9bjgW4/eJYLqCusCj90FVvL+TFAH6G0UUUAFfPnwj/4KXfs8/GT9rLVP2LNE8NfEHSPHGmWOo33leKfh9qGmWd7a2VyltPcW1zcRrHcReZIgWSMlXDAgnIr6Dr5Q/Zz8D+M/iN/wVQ+Pn7TfjTwnqlhpPhPwv4f+G/w/utS0+WBL2BUfVtUubcyKBLE1zd28PmJlS1mRnKmgD6vooooAK8C+NX/AAUw/ZI/Z+/ah8M/sg/Evxnqdt4x8UPp6Wq2vh+6uLGye/nkt7BLu7jQxWrXM0UkcQkYF2UgV77X5Qf8FI/g38cfFX/BZr4f+N/DvwJ8davNHqHw7bwDrOgaFJN4ZltbTWr+bX312VR5Xm21rLHLaGc7o3fdD8xNAH6v0UUUAf/Z", "info": {"equation": "10+0*0=10", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "10+0*0=10", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "b89d8466c7b62bfba7f29d6b9ab505e2e5bc577c5d5325f395f1adb49f78e058"} +{"episode": 972, "episode_seed": 82047617, "split": "train", "timestamp": "2025-10-28T03:42:51.535596", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 82047617, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 4, 7, 0])", "action": "('move', [6, 4, 7, 0])", "reward": 0.0, "image": 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", 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Xh23+OepeC/C+taLcS+KLq216GxjnaFGNsXkmypYSyYGPmIduxav2V+AvxfbxLrsOg/Dv9oa48cXEV9HNNE/ieDUXhVsLh/IxtjIU/eH94g17j8C/2TP2bf2Zv7b/AOFCfBvRPC3/AAkd8LvW/wCy7bb9qlG7aTknCrvfagwq7jgDJr0GOCCI5ihRSeu1QK+LwnCWOo04xeLkknflje299NV+W5+l+JniJlvHHFE8zwuD9nFwjH3rczsvilZNX15Vq/djH0T6KKK+5PyYKzPGk+v2vg7VrrwpD5mqR6ZO2mx7Qd9wI2MYweDlscHitOik1dWKhLkmpWvbo9mfzV/8ExfHP7S9/wD8Fd/AnikS6xd+N9V+IUieN2u7XfctbyyOuqmdXHybYTOW4GzbxgqBX9KlfEfwW+Anwa8MftzRfHHQPhzp1t4u1z4l+J7fVfECIxuLiIR6qNpJJCj93HnaBnaM5r7cr5ThGg6GErRcm7VJLXytr8+p+s+L/HOC47znCYrDYX2Cp0IRa0u3du2n2Y3tDrbWyvZFfgt/wc3eKPjLfftuaJ4T8XzX6eDtP8JQT+DYHj22rSSMftcqEcNJ5iIrE/MAkY4GM/vTXyr/AMFGPgN8HPj1448BaT8Zfh3p/iO10vRtdvNPt9RVikM4l0xd4CsM8EjByD3Fb8W0nUyOo07crT9dUrP77/I4fCLi/CcE8a0syxND2seWcbK3NHmXxRvpfSz1XuykfLf7Gn7QK/ED9kHwZd/tEfttaj/bGpaC0eu6PqnxAsoRJAZJESKWM/OA1uIwwY7iGJJyTX3d+yt4Whgn1v4g2zu0Or2dja2zKQYnigNw6uhA+YH7SRnJBwMdDnq/2eLKz/4UB4G/0SL/AJE7TOBGP+fSKu1AAGAMAdhWOWcPVsLjKeLq4mVTlTsmu6tu2/6sfK55nlLNMXiKlOhGkqs5S5Y7RvJy5VotFsvIKKKK+rPnDx/VPg3+xJefte2XxT1fw94Ib41Jo+bGea+hGsmzEbxeatuX3Moj8xPN2EhQV3YGB64traowZLaMEdCEFfzF/tI/GP8Aap0H/gqF4p+J3iDxfrWjfEnTviLPBa37yLbz2SLKYII03fIkQtyiKD8hjPOVJJ/ZzwT8dPCZ8TR2Gg/tnXXiG7vA1vb6TcePbO685m/uRxgOX442nPWvhYcZYOhKrGVBp8z2tr5y2s++5+0eIvhpmHC1DLJ1cesQq1FNXbfJaz5Yav8Ad+97j0v72iPtyisX4eXOt3ngnTbrxEH+2PbgzGQYY8nBYHoSME+9bVfa0Kqr0I1ErcyTs91dX1PxqpD2c3Hs7Hkv7eXiD4ueFf2Mvib4k+A4vP8AhL7LwZfTaC2nQ+ZcJOIid0S93UbiuATkDAJwK/n8/wCCPPxR8YeCP2zbf7P8Y73whpGtaPex+K9Xh1mGzMsKxNLGrzTggZuVh6fMSfQmv6Xa+If+Cb/7P/wV+EfxX07xF8Nvhrpmj3/ib4dXV3r93bRsZL2b7RprbnLk4+aRzgYGWPFfIcS4Kpi81wkYVXBy5kmulle61Wr2P1/gXj7AcN8CZzlFbBqrPEqPLJ2srrl96+vufHC17TvtueYfF7w7+x38UfDXif4l/FH4v6d411PR/C7D/hKNU8WW+oX+gW8bmSKSzZGH2WQXBVkZAHeTYpLZC192/sn6v8T/ABB+zB8O9d+NcFzH4wvPBWmTeKI722EMy37WsZnEkYACP5hbKgDByK+Zf+Ckf7P/AMFPix8VrjxT8Sfhppmtah4X+Gkl1oFxexsfsU3nXTb1UEKx3RofmBHyjivtWxJayhZiSTEuSfpT4bwdTB5ri6c6jm48qbfW6bu9Xqtj5DO84pYvhzCYZczd5S961qaXuqFPVu0tJT0jqopR927looor7M+MK+rvfR6TdSaYm65W3c264zl9p2jn3xX80v7D3j/9q3UP+CungrxlevrNx8S7/wCKIj8Wrc2m66CyTNFqiSxsMIqWxuQwwBGqHG3aMf0xV8Q+AvgN8G9H/byT4+aZ8OtOi8Z6l8UtWtL7xEFY3EsAsr1dnLFVG2NASoBIXk8nPyXE+HlVxGDkpNfvEtPO2vqraep+veF/HmB4Oy3OMNiMIqzxNBxi3bRpSXLK/wBiXNeSWt4rTqvt6iiivrT8hPhz41+PI7D9tj4tWXxt8ZyaZpuleDNIfwpBqc8dvax6C1u7X13AWIEhN75iTOc7fJt1OAV3eUfsxfHbw74x/Zk8Jn4y/tsX8t1qGghNX0XV/HdhbrNbMWVIZoAFKBoNgZOCNxBwc197/HT9k79m/wDaZv8AQNT+Pfwd0XxVceF7xrrQZdVty5tJGKFsYI3KxjQlGyrbBkHFd+bO0JybWMn/AHBXxlfhfGVsfWrxxTgpu+l7+j1Wi2W+h9vjOI8oq5VRpUsN+9tTU21FKPs4ci5Grt+0+OpdR95L4tzyn9l3wiLE65493Ska0tpBHux5bJAJSHTjnJnIzkj5Rjoa9aoAAGAKK+ly3BLLsDDDKV+Vb7X1ufH4mu8TXlUatcK/l+8V/Gj9qvQf+CmWp/FHxV421vQfiavxElttS1J5ltbizLTG2eLL/JHEsB8sA/uxGAPu1/UDXnifsnfs3x/tASftUp8HNFHxDlsvskniv7OftTReWIsZzt3eWBHvxu2fLnHFedn2T183jSVOpyckr9fvVuq6er1P1Dwu8RMu4BWYrFYNV/rNFwjto9fdlf8A5dzv79rv3Y6M+WtC+JPwx8V+K7HT4/2r38ZXcdy76RpGoeOLS9/fGN08yOKPDNII3kXvhXbjuPrn4EeDm8B/CvTPDr+cG33N06zgB1a4uJLgqQAMYMpAHUAc811a2tqjBktowR0IQVJUZTkVTLcXLEVa7qSkuXVdL33bZ+c4vHxxNFU4wUUnfT/hkFFFFfRHnBRRRQAUUUUAFFFFAHhPgr4btN+0OuqnSpLNdG1zUNVZYVIjeS4iuYyzFgchzcu/BGT04BFe7UUV5uV5cstozgpc3NJyu/M6cViXiZqVrWSX3BXxT8dPHdzpv7eHjey+L/i5tN0jSfh5pk/gyDU7hLeyGnO0z6pdRsxAdxNFAszHlEjhztUgt9rV578fv2Uf2cv2prTR7H9oX4QaN4si0C9N3o6atAX+zSsAGK4IyrBV3Icq21cg4FY57ltXNcveHpz5XdPyduj/AK3sevw5mOX5djJ/XYt05xcW4pOcfejJSipNK/u8r1Xuylr0fwV+x/8AtH6XefADwnrvjb9ufVbW8jjlMFhqHjjT7UiyjupVs1kt9oMebVYNyHB5OcHNfev7O2veIfEXhm61LVr+S7tJJ1fT7uSQuJVYbmKt/EmSCCOOT6V3q2FiihEs4gFGABGMAVKAAMAYA7CuHLcgxWBxka9TFSqJJqzvbX/t5/1YzzbN8NmNarOlh40lOTkkrWim27LRbbegUUUV9MeGed3/AOyZ+zdqf7QFv+1RqHwc0Wb4hWtn9lt/FT25NykXltF67S3lsybyN207c4AFegLa2qMGS2jBHQhBUlFRCnTp35Uld3dur7vzOnEYzF4tQVepKfJFRjzNvlitoq+0Vd2S0QUUUVZzHlH7dOvfFLwv+x38SfEPwVe/TxRZ+EbyXSJdKg826icRndJCmDulVNzKACdwGATgV8O+PvjN4E8F/E74H+Hvhb+0i/hzSb7RdSW9vdL8RWkPn6Ctghhllnl3bc3cNqqkHLsJRztbH6c1518FP2SP2av2ctY8Q+IPgd8GdD8M3niu8F14gn0y22m8kDOy5ySFUNI5CLhRuOAK+azrI8TmmLpVaVZw5E11ur9VZrXo9VofYZJnuVZflNWhiaHPU99w0jaTnBQ99vVKnbnhZS96692/MvmLwfL4C+NF1qvhXw78dJPHOq6tpn2C5uD4nt9RurW1feoCiIYRA0jNkrjJ5PavuCCIQwJCDkIgXn2FJHbwRHdFCin1VQKfXTk2TTyqVWU6rqSna7a7X83fc+dxuNWLUUocqjfbz+4KKKK9w4QrwnRPhqLz9o1L8aVLZrpniG51hvIUhJHkgni3sWzw/nFuMfMOOhFe7UV5uYZcsfUoycrezmpetuh04fEvDxmkr8yt6BRRRXpHMFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXIfHz47/Cv9mL4N+Ifj78bfFUWieFfC2nNe6zqUqM/lRggAKqgs7sxVFRQSzMoAJNdfXyb/wW9+CvxP8Ajz/wTZ8ceDvg94SvPEOuafqeha9F4d06PfcapBpusWd9PbRJ/HI0NvJtTqzBVHJoA9k/ZL/a8+B/7a/woPxh+A2u3t1psGrXOl6nZatpU1hfaZf27BZrW6tp1WSCVcqSjAHDqehFenV8Xf8ABG3wt4/1CD9oL9pfxX8NfEng/R/jH8e9R8TeDdA8XaRJp+ojTBY2VolzPayYe3eWS2kbY4DbQpPUV9o0AFFFFAHjf7ZX7eP7Of7BvhfQPFv7ROv6nZWviXXYtJ0ldK0O4vne4kZVBcQowijBdAXchcuo5JAr2Svhj/g4R8Wala/8E/7n4a+GvhZ468V614n8X6C2m2PgjwXe6w8a2Wr2V7O8wtY3MK+TBIVZsBmAUcmvsr4Y/EDSviv8OdD+JuhaVq1hZeINKg1C0ste0qWxvYI5Yw6pPbzBZIJQDho3AZSCCARQBu0UUUAFeBfEr/gpf+yb8Iv2rNC/Y5+IXinWtO8WeItRttN029m8LXv9kNqNzCZrewbUfK+zC6kjAZYt+7BGcZr32vzj/bu+Nd/8av8Agq58If2Ufin8Ffilb/Cv4YeJNJ8XL4h8PfDLU9SsfE3i6Q7NNhe9ghaG0sbITmeeV25kwjbVjZqAP0cooooAKKKKAPAv2dv+Cln7Kv7UHx+8RfszfDHXfEMXi7w5pj6m9j4h8I3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", "info": {"equation": "69-12=57", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "69-12=57", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "4dc1cc73d35cd8461899eba0a30dc5c561ffc3875db78ee7c85202909d962778"} +{"episode": 973, "episode_seed": 3971990577, "split": "train", "timestamp": "2025-10-28T03:42:51.577733", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3971990577, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 0, 2, 7])", "action": "('move', [4, 0, 2, 7])", "reward": 0.0, "image": 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", "info": {"equation": "86+11=97", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "86+11=97", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "f38489af3fa2cc3960c3eee82094f2572e502f9b3aab8de9c3fae81c393eb336"} +{"episode": 974, "episode_seed": 1965261827, "split": "train", "timestamp": "2025-10-28T03:42:51.615250", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1965261827, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [5, 1, 6, 4])", "action": "('move', [5, 1, 6, 4])", "reward": 0.0, "image": 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", 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", "info": {"equation": "4+52=56", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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jJPll5StZ+TP5Y/8Agn18Rvir4P8A2n/DWh/D7xZe2Vp4m17TrHxVbQ3CiO/sPt0Erxyh+GG5FYY+bI+Xk4P7deH/AIgWvhL9pLxDoMXxNOl3+r+GtKjtNCGrxwtfBZr5mkSIkPI6hMbl6KWB616L8Wf2Nf2W/wBmf4KeOvFvwF+B+g+F9S8S3umPrV3pdsVa4xqcLhRkkRpudjsTavTjgY6D9kqONvi74/do1JGlaJgkcj5tQr8vXDuJw+Z0sE69nKMndX0XZare2u25+weJviNlvHubf2rhMJ7OEIwhaVuaTTb5pWutObljvok9L2XsXw5utevfBOn3PiZXF68OZvMXDHk7Sw7EjBI9a26KK/UKFJ0aEabk3ypK73dlu/Nn4lUkpzcrWuwr+dX/AIOE/Fvxw1z/AIKP+I/D3xWm1FdE0jT7RPAdtdRbLcaa8KM8sIHDhrjzwz8ktHtJ+QAf0VV4p+1z8E/2CvivqfhW9/bR8P8AgO6u7S8kj8JP4y1KG2eSVmjLxQ+ZInnZIjzH8wPGRzz4/EOWTzXAeyjPks09dn5P79POx+o+D/G+F4C4t/tCvhXXUqcoWik5xbs+aF+vu8r1Xut+j+Cv+Cef7QWp65+xh4If40/tuatoutJpstqNL/4T2xsmtrOKaSK0UREbo8W6RYz8x4J5NddoPgX4MfBr40fA/Xf2NLHTLXxVrXj+00+W58KyxXc+veHJZXbWXvZAzNdQJGrzNO5YpPFFhg21T+lken2EUaxRWMKqqgKqxAAAdAK+BP2Kv2cvgX8Mvjz8Pvit4B+F+l6X4k8SXuptrms26OZ7vfY3sjglmIUM4DEKFBIHHAx8njMlxOAzDBqpiZT5ppK9/dtbbV7kYPi7C18bmOPVJ0o1Oeaowt7OTnz2hPWPuRUnb3ZNq8Vy35l+gNFFFfpJ+XHxl/wXu8X/ABz8Gf8ABNzxXqHwMm1GGS5v7W08U3WlxbpYdGkLrckkfMiE+WjsvRHbOFLEfkJ/wRb+Mnj34fftM3Pg2z+OupeCvCGsaRPceKJbXXYbCGV4Y3+zFnmyu4SyADb8xDEdM4/oN/alghuv2Y/iNa3EQeOTwHq6ujDIYGylBBr52/YB/Z0+Bn7Pvxy1fQvgt8MNL8O2upeC0uL+KxRibiUXYVWZnZmOBwBnAycDk5+E4gwFXFcQ4aMKrg5ppNfZ5U3pqtz9w4R8R8tyPwtzLh+rglUqVpXU9LPm5Ved9eanbmptX1tta7w/Anjr4e+MvF8P9j/tEHx3rcVpJHY2914tttRnt4WeNpRFHDggM0cO44P3E6d/rj4J+CU+HHwk8PeBo5JmGmaVFDm4I38DnOABnn0rpUtreJt0cCKfVVAp9e1k+RTyzE1K9Ss6kpJK7Xbzu7n5BjMfHFU4wjBRS7f8Mgooor6E848S+OnwN/YG8dftBeDvG37QfhvwDcfEm1aFfBb+INQhi1GcxzF4lhhaRTcbZSSo2vhiccmvaTZ2hOTax/8AfAr+ZD/gq/8AED9oXUv+CknxI1z4xarrFpr2heL54PDLzboJLLS4Z2bTmt9uNieSY5VZfvM5fO5ia/U39m79pKfxB8CPBXin4w/t46nb+Krzw9Z3PiC0n+IWnw7LpkDOrRBfk56r26cV8NDjDB4fFVoToNWla8Uru2l5ba/efuXHvhbmPDfDGU46pmKrqtDSDbtTulO1LV3hrq0o62dve0/SVVVBtVQAOgApa8q/Zt8X+I/GQvdZl1ptT0m6gS4tb8T+bFIz/MDE4yrKynPynGNuOvPqtfVZZj4Zng44iMXFO+j8nY/FcVh5YWs6bd7BX5x/8HMni744+G/2JtF0z4bTajB4X1bxStt48nsI/lNvs3W8UzjlInmA9AzBFJ5AP6OVzvxb8L/DHxr8MNf8LfGnTtKu/CV5pM6eI4dbZVtPsewmVpWcgIqqCxckbdu7IxmnmWFljcBUoRlyuStf+unfyPoOCc9o8McWYPNKtH20aM1Jw79NP7yveP8AeSPwK/4IYfF7xR4N8eeNPB2rftA33gfwfPo6Xs32fxBbaclxqYmiji+eYEufJ875V4wAT/DX3r438C/sTfGCPxB4/wDi/wDETQPH95a6EItT8SeI/FVtqN1o9gj7k8lwwFmBKdwZAhZ2wWOcV9rfsp/DH9lH4a/CGDQP2P8ASPCkXgyW+nuIX8J3kd3aTXJYLK5mR38x8qFJLEgIF4CgD5u/4KC/s1/AX41ftCX3iH4sfCrSdevPD3wzs5tGmv42ItnN1qbkhQwVwWjQ4YMPl6cnP53mvD+Ky7JvayxLlFW91X5dX018+x+kcQce4LifxFrZnTo1MHGWjcEvbe6kveXNBc0mlze8+XTSTWvu3/BO/wAS/Fzxh+xP8OfEvx0m1KXxNd+H1e9uNZtxFeXEPmOLaadeMSvbiF2yASzEkAkivZ65z4PMW+EnhZmOSfDliST/ANe6V0dfpmHg6WHhBu9kld7uy3Z+OZni44/Mq2JjBQVScpKMdo8zb5V5K9l5BX8pXx7+Kf7TZ/bH174rfFjWtXsvipp/jP7TdXV5GI7mx1G3mHlKqHKoIjHGqKPkCooHygV/VrXwF8ff2cfgXr/7WnjH4/658LtLuvGenfErw7DYeIZ42aeBFh0VV2gtsyFdgG25GeDnFfJ8ZYeVXD0JKTXvpf8AgXX1VtPVn654NeIWX8BYrMHisIq/tqVltdOLfuu//LufN79rv3Y6MxL3x/8AB/4o/C6Dwd8cP20JtastV0m3TxPoGpfE2zW2u2KI00EwhKExlwysgYBlypyCQep/Y00Pw58Mv+Cg1z8O/wBm7S7bTfC178Opr74m6D4etYl0yy1BZ7dNKndY/lt7qWE3YKjaZIoUchsBq+mv21/D+ia3+yP8RtF1bSoJ7S88I3sF1A8Y2yRvEVZTjsVJH415R/wT2+A/wc/Z7+Kfjzwd8E/h3p3hvTLnw/ot1c2unI2JZjc6ou9mdmZjtVQMngDjFedTyrEYHiTCwqYiVRtSd3e9knpu9H1Pl8FxBh4cP42PLJc6cVSVvZXnZOctfihZOCUH70YtyXLZ/VlFFFfoZ+fBRRRQB872Pwq/tn43Q2J0iWxSy8XvrswtlIQyCaSYuSwPyu7En1JOMV9EUUV5WVZXHK4VIqblzyctfPp/wTqxeKeKlFtWskgooor1TlOS+OegJ4n+FuqaLJo636SLE7WzBjnZKjhgF5JUqGHutcj+y94HbSbrxB4/l88Nra2dsqyABClv5xDLxk5M7AnJHyjHQ163QABwBXlVcrjVzenjnN+7Fxt01vrf5/kdUcU44SVC27vcKKKK9U5Qr+dX/g4T8W/HDXf+CkHiPw98VptRXRNIsLRPAVtdRbLddNeFGeWADhg1x54Z+SWj2k/IAP6Kq80+P/7HP7L/AO1PfaLqf7QvwT0PxZceHpHfR5tVtyzW+8qWXKkblJRSUbKnHSvEz/Kqub4H2FOfK7p67Pyf5+qP1Dwk49wHh3xU8zxmHdaDpyhpbmi3ZqUb2V9OV6r3ZP0f54/8E/8A9pTxH4s/ZC8G638e/wBunW9O8SyWk0c9pdfECxtpY7dJ5EttyOC4JgWM5f5mzluSa+vf2XfBfhXxV4p8LeLPBGqpe6L4ciuJ9PvtPu0nt598EttgyrkP/rXPynO5T6EV9LR6fYRRrFFYwqqqAqrEAAB0AqVESNdsaBQOgAxXlYbhavSxdKtWxUpqDuk0/wALydvuPl864io5rj8TiKWGjSVaU5csdoqUm+VWS0V7IWiiivsD5c+af+CrHiHxj4e/Zjsf7E1TUNP8O3/jnR7L4jajpigPa+HZZ9t2zv1ihY+VHLIPuxSPkhdzD5k+M/x00jw3+1/8OPDvhb9pJ/C1rfeGNXl8XnSPENnaxfYfLiksZJJpM7S07DywD86MxAKgkfpRrGj6T4h0i60DXtMgvbG+tnt72zuohJFPE6lXjdWBDKykgg8EEiuC/Z6/ZH/Zs/ZR0HUPDX7PHwe0fwrZardrc6lHp8TFrmVV2KXeRmYhRnC5wNzEAFjn5XN+H8TmWZQxNOu4JK3W63+HVb311XzPtso4hyfBZJLD4jD89WPtFHSPJL2kVHmm37ylT+KFlJN8vwcrcvnj4XfG7S9T1WXw94K/aqu/F9/chJY7BvGFtfzoIyfmjSHDAZYbuCD8ua+v/DUupz+HrGbWo9l29pGblfR9oz+tW0treJt0cCKfVVAp9duUZPXy2rOdXESq8yS1vpb1bPmMZjKeJjGMaajbt/wyCiiivdOA8y+KP7Gn7LXxq+K+hfHL4rfA/Qdd8W+GvK/sTXL+2LTW3lSGWMcEBwkhLKHDAEnGM16SbO0JybWP/vgVJRURpU4ScoxSb3039e51V8djcVSp0q1WUo01aKcm1Fb2im7RV9bKwiqqDaqgAdABS0UVZyhX5x/8HMni745eG/2JtF0z4bT6jB4X1bxQtt49nsI/lNvs3W8UzjlInmAz2Zgik8gH9HKxviF8PfBPxY8D6r8NfiR4YtNa0HW7J7TVdLv4t8VzC4wysP1BGCCAQQQDXFmWEljsDUoRlyuStf8Arp0fkfT8F5/Q4W4qwebVqKqwozUnB9V5X05l8UX0kkz8B/8Aghr8bvHHhPxd4v8Ah3rn7R+qeCvAw0r+0BbxeJrfT4JNVaWGNWUzg5cwrJkJ1CLu6LX6Y+CNT8BfFG+1XS/C3xrPjrWNQ05bO6uT4kg1K7htv3iog8n7iBppGGV+855PSvqr4F/s4/A39mfwGvwx+BHwy0vwzoS3cl0dO06E7XnkxvkZmJZ2IVRkknCqOgAHZxwQRHMUKKT1KqBXyEODcVLDKjVxb5esUm4/K8v0+R9Tx/x/gOLeLcRm2FwipRnZK9uZ2SXNKytzO2tm+13a5R8IaFH4W8J6X4Zikd107ToLVXcgswjjVATjjPHatGiivu0rKx+YN3YV+T178aNS0T/gnr45+IfxT+Kt9pfxQF1qk3iW4vpoY9SsfFyXLtb2qwNkIUkgt0hiC4+zxIygqNx/WGvMtW/Yz/Za139oK2/aq1j4H6DcfEKzRFt/FMlsTcKViMSsRnazrGdocqWACgEbRj5/iDJq+cQpKnU5OV3/AOD6q2nq9UfXcLZ3lGVRqwx9FzTlCa5VFtunz/u3zWtCpz+81drli+SWx8haL8Y/h54j8EafYfE39tybUmu9Ktxr+j6j8RrBre4kaJTNDIiYyhbcCoI44zX1R+y/4NNtruvfEl2mzqthZWMe4Dy3SCS5k3rxk5NyQTkj5R6GvXvsVn/z6Rf9+xUgAHAFc+A4brYTMIYqtiZVHFOya7q27kzx8XmkMRSnThSUFJ3023vtYKKKK+pPICiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooqDVbSXUNMubCG5aF54HjSZOsZZSAw9xnNAHzx+zv/wVd/Yi/al/aE1P9mX4N/E67vvEtgt81jJdaFdW1hra2U3k3h067lQQ3ogkO2TymbbyeQCa+jq/FT/glb+zf+0zYftE/shfs8eMf2b/ABx4UvP2SbL4kR/FDxdrfh+W20i/bVbmZbFdOvG+S/FwJVlbyydoB3dK/augAooooAK8N/bZ/wCCif7MH/BPzSvDmrftJeItXsk8Van9h0iPR/D1zfsX3xRl5DCjLDGHmhXe5UFpFAyTivcq/Pv/AIOP/FurS/sGxfBTwf8ACPx/4u8QeK/F2jXmm23gfwNfawsMOnatY3Vybh7WNxb/ALoMU348wqwXODgA/QNWDKGHQjIpa5r4O/E3RfjN8L9D+KfhzRdb02x13T0urWx8SaLNp1/AjdFntp1WSF+OUcAiuloAKKKKAKHirxPofgnwvqXjPxPfi10zSLCa91G6ZGYQwRIZJHwoJOFUnABPHArw/wDZA/4KZfspftveOPEnww+CuveILbxN4Vs4L7VfDvi7wlfaNe/YZziG8jhvIo2kgfjEgGPmX1GfavHPimDwN4J1jxtdaRf6hFo+lXF9JYaVaNPdXKxRtIYoYl5kkYLtVByzEAda/OX/AIIzfFHWP2q/2y/ix+2t+0Z8G/ib4P8Aiz4z0BNN0fw14o+GWp6TpXhXwlZXYFrp6X11CkV7eyySi4lKnuQihUagD9L6KKKACiiigD53/bN/4Ki/smfsE69ZaH+0Xq3imzS4s4ry/wBV0bwTqGo2Gj2ss/kRz311bwtFaI0gKr5jAnacCvoHTdSsNZ0631fS7tJ7W6gSa2njOVkjYBlYHuCCDX5lf8HF9hcfHP4XRfs3+B/gV+0Hr3xIisre/wDhlL8PdFu7jwnrF/NfQZttY2E2kqQ/ZUcpeqFVZSYydzV+knw9i8TweANDg8a29rFrKaPbLq8VkoEKXQiXzVjA4CB9wGO2KANiiiigAoJCgsxAAHJNFeJ/8FG/CH7S3xC/Yj+Ivw//AGQooX+IWvaA2naH52qJYlVnkSK4ZLhwVglFu0xSQg7X2nBxigBf2Nf+Cgv7L/7fMXje7/Zh8a3Gu2vw/wDFk3h3X719Okhha8jGSYHcATRkciReCCCOte11+ZX/AAb6/Cz9pL4J/Fv9pnwH8Vv2Jf8AhUHheTx7p8vh61XxGb63jaHTLa1FpayfZoRewrFEjm8T5WdmTbuUk/prQAUUUUAFfOfxK/4Kgfs6/DP9qqb9ji58IfErXfGVm+lDVT4S+G2parYaYuoki1kurq2iaK2RgHJeQgARuScKcfRlfkt/wVQ8AfELSv27X8f/ALCngT9pnS/2ide8X+EIIdb0G1u4/AGraLbBROb+WL/RJIY4JbpHW5PmLJnYNrZIB+tNFFFABRRRQByHx8+PXwl/Zg+Duv8Ax8+OvjS18PeE/DFgbvWdWu8lIY8hQAFBZ2ZmVFVQWZmAAJIrn/2Uv2uPhN+2R8PJ/iR8JLPxLZ2tpfmzvLDxd4UvNGvoJPLSRS1vdxpJsaORHVwCrBgQa+d/+Dgn9nb4xftMf8Ey/E/gn4HaDrGra3pXiPQ9dk0jw6N2oXlpZahDPOtsv8c6xq0iJ/E0YABJAqj/AMENrf8AaDj+HXxYufiJP8WG+G8/xOmb4KD44PdN4lGjfZovNNx9s/0kRG583yxL82A2PlxQB9y0UUUAf//Z", 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jJPll5StZ+TP5Y/8Agn18Rvir4P8A2n/DWh/D7xZe2Vp4m17TrHxVbQ3CiO/sPt0Erxyh+GG5FYY+bI+Xk4P7deH/AIgWvhL9pLxDoMXxNOl3+r+GtKjtNCGrxwtfBZr5mkSIkPI6hMbl6KWB616L8Wf2Nf2W/wBmf4KeOvFvwF+B+g+F9S8S3umPrV3pdsVa4xqcLhRkkRpudjsTavTjgY6D9kqONvi74/do1JGlaJgkcj5tQr8vXDuJw+Z0sE69nKMndX0XZare2u25+weJviNlvHubf2rhMJ7OEIwhaVuaTTb5pWutObljvok9L2XsXw5utevfBOn3PiZXF68OZvMXDHk7Sw7EjBI9a26KK/UKFJ0aEabk3ypK73dlu/Nn4lUkpzcrWuwr+dX/AIOE/Fvxw1z/AIKP+I/D3xWm1FdE0jT7RPAdtdRbLcaa8KM8sIHDhrjzwz8ktHtJ+QAf0VV4p+1z8E/2CvivqfhW9/bR8P8AgO6u7S8kj8JP4y1KG2eSVmjLxQ+ZInnZIjzH8wPGRzz4/EOWTzXAeyjPks09dn5P79POx+o+D/G+F4C4t/tCvhXXUqcoWik5xbs+aF+vu8r1Xut+j+Cv+Cef7QWp65+xh4If40/tuatoutJpstqNL/4T2xsmtrOKaSK0UREbo8W6RYz8x4J5NddoPgX4MfBr40fA/Xf2NLHTLXxVrXj+00+W58KyxXc+veHJZXbWXvZAzNdQJGrzNO5YpPFFhg21T+lken2EUaxRWMKqqgKqxAAAdAK+BP2Kv2cvgX8Mvjz8Pvit4B+F+l6X4k8SXuptrms26OZ7vfY3sjglmIUM4DEKFBIHHAx8njMlxOAzDBqpiZT5ppK9/dtbbV7kYPi7C18bmOPVJ0o1Oeaowt7OTnz2hPWPuRUnb3ZNq8Vy35l+gNFFFfpJ+XHxl/wXu8X/ABz8Gf8ABNzxXqHwMm1GGS5v7W08U3WlxbpYdGkLrckkfMiE+WjsvRHbOFLEfkJ/wRb+Mnj34fftM3Pg2z+OupeCvCGsaRPceKJbXXYbCGV4Y3+zFnmyu4SyADb8xDEdM4/oN/alghuv2Y/iNa3EQeOTwHq6ujDIYGylBBr52/YB/Z0+Bn7Pvxy1fQvgt8MNL8O2upeC0uL+KxRibiUXYVWZnZmOBwBnAycDk5+E4gwFXFcQ4aMKrg5ppNfZ5U3pqtz9w4R8R8tyPwtzLh+rglUqVpXU9LPm5Ved9eanbmptX1tta7w/Anjr4e+MvF8P9j/tEHx3rcVpJHY2914tttRnt4WeNpRFHDggM0cO44P3E6d/rj4J+CU+HHwk8PeBo5JmGmaVFDm4I38DnOABnn0rpUtreJt0cCKfVVAp9e1k+RTyzE1K9Ss6kpJK7Xbzu7n5BjMfHFU4wjBRS7f8Mgooor6E848S+OnwN/YG8dftBeDvG37QfhvwDcfEm1aFfBb+INQhi1GcxzF4lhhaRTcbZSSo2vhiccmvaTZ2hOTax/8AfAr+ZD/gq/8AED9oXUv+CknxI1z4xarrFpr2heL54PDLzboJLLS4Z2bTmt9uNieSY5VZfvM5fO5ia/U39m79pKfxB8CPBXin4w/t46nb+Krzw9Z3PiC0n+IWnw7LpkDOrRBfk56r26cV8NDjDB4fFVoToNWla8Uru2l5ba/efuXHvhbmPDfDGU46pmKrqtDSDbtTulO1LV3hrq0o62dve0/SVVVBtVQAOgApa8q/Zt8X+I/GQvdZl1ptT0m6gS4tb8T+bFIz/MDE4yrKynPynGNuOvPqtfVZZj4Zng44iMXFO+j8nY/FcVh5YWs6bd7BX5x/8HMni744+G/2JtF0z4bTajB4X1bxStt48nsI/lNvs3W8UzjlInmA9AzBFJ5AP6OVzvxb8L/DHxr8MNf8LfGnTtKu/CV5pM6eI4dbZVtPsewmVpWcgIqqCxckbdu7IxmnmWFljcBUoRlyuStf+unfyPoOCc9o8McWYPNKtH20aM1Jw79NP7yveP8AeSPwK/4IYfF7xR4N8eeNPB2rftA33gfwfPo6Xs32fxBbaclxqYmiji+eYEufJ875V4wAT/DX3r438C/sTfGCPxB4/wDi/wDETQPH95a6EItT8SeI/FVtqN1o9gj7k8lwwFmBKdwZAhZ2wWOcV9rfsp/DH9lH4a/CGDQP2P8ASPCkXgyW+nuIX8J3kd3aTXJYLK5mR38x8qFJLEgIF4CgD5u/4KC/s1/AX41ftCX3iH4sfCrSdevPD3wzs5tGmv42ItnN1qbkhQwVwWjQ4YMPl6cnP53mvD+Ky7JvayxLlFW91X5dX018+x+kcQce4LifxFrZnTo1MHGWjcEvbe6kveXNBc0mlze8+XTSTWvu3/BO/wAS/Fzxh+xP8OfEvx0m1KXxNd+H1e9uNZtxFeXEPmOLaadeMSvbiF2yASzEkAkivZ65z4PMW+EnhZmOSfDliST/ANe6V0dfpmHg6WHhBu9kld7uy3Z+OZni44/Mq2JjBQVScpKMdo8zb5V5K9l5BX8pXx7+Kf7TZ/bH174rfFjWtXsvipp/jP7TdXV5GI7mx1G3mHlKqHKoIjHGqKPkCooHygV/VrXwF8ff2cfgXr/7WnjH4/658LtLuvGenfErw7DYeIZ42aeBFh0VV2gtsyFdgG25GeDnFfJ8ZYeVXD0JKTXvpf8AgXX1VtPVn654NeIWX8BYrMHisIq/tqVltdOLfuu//LufN79rv3Y6MxL3x/8AB/4o/C6Dwd8cP20JtastV0m3TxPoGpfE2zW2u2KI00EwhKExlwysgYBlypyCQep/Y00Pw58Mv+Cg1z8O/wBm7S7bTfC178Opr74m6D4etYl0yy1BZ7dNKndY/lt7qWE3YKjaZIoUchsBq+mv21/D+ia3+yP8RtF1bSoJ7S88I3sF1A8Y2yRvEVZTjsVJH415R/wT2+A/wc/Z7+Kfjzwd8E/h3p3hvTLnw/ot1c2unI2JZjc6ou9mdmZjtVQMngDjFedTyrEYHiTCwqYiVRtSd3e9knpu9H1Pl8FxBh4cP42PLJc6cVSVvZXnZOctfihZOCUH70YtyXLZ/VlFFFfoZ+fBRRRQB872Pwq/tn43Q2J0iWxSy8XvrswtlIQyCaSYuSwPyu7En1JOMV9EUUV5WVZXHK4VIqblzyctfPp/wTqxeKeKlFtWskgooor1TlOS+OegJ4n+FuqaLJo636SLE7WzBjnZKjhgF5JUqGHutcj+y94HbSbrxB4/l88Nra2dsqyABClv5xDLxk5M7AnJHyjHQ163QABwBXlVcrjVzenjnN+7Fxt01vrf5/kdUcU44SVC27vcKKKK9U5Qr+dX/g4T8W/HDXf+CkHiPw98VptRXRNIsLRPAVtdRbLddNeFGeWADhg1x54Z+SWj2k/IAP6Kq80+P/7HP7L/AO1PfaLqf7QvwT0PxZceHpHfR5tVtyzW+8qWXKkblJRSUbKnHSvEz/Kqub4H2FOfK7p67Pyf5+qP1Dwk49wHh3xU8zxmHdaDpyhpbmi3ZqUb2V9OV6r3ZP0f54/8E/8A9pTxH4s/ZC8G638e/wBunW9O8SyWk0c9pdfECxtpY7dJ5EttyOC4JgWM5f5mzluSa+vf2XfBfhXxV4p8LeLPBGqpe6L4ciuJ9PvtPu0nt598EttgyrkP/rXPynO5T6EV9LR6fYRRrFFYwqqqAqrEAAB0AqVESNdsaBQOgAxXlYbhavSxdKtWxUpqDuk0/wALydvuPl864io5rj8TiKWGjSVaU5csdoqUm+VWS0V7IWiiivsD5c+af+CrHiHxj4e/Zjsf7E1TUNP8O3/jnR7L4jajpigPa+HZZ9t2zv1ihY+VHLIPuxSPkhdzD5k+M/x00jw3+1/8OPDvhb9pJ/C1rfeGNXl8XnSPENnaxfYfLiksZJJpM7S07DywD86MxAKgkfpRrGj6T4h0i60DXtMgvbG+tnt72zuohJFPE6lXjdWBDKykgg8EEiuC/Z6/ZH/Zs/ZR0HUPDX7PHwe0fwrZardrc6lHp8TFrmVV2KXeRmYhRnC5wNzEAFjn5XN+H8TmWZQxNOu4JK3W63+HVb311XzPtso4hyfBZJLD4jD89WPtFHSPJL2kVHmm37ylT+KFlJN8vwcrcvnj4XfG7S9T1WXw94K/aqu/F9/chJY7BvGFtfzoIyfmjSHDAZYbuCD8ua+v/DUupz+HrGbWo9l29pGblfR9oz+tW0treJt0cCKfVVAp9duUZPXy2rOdXESq8yS1vpb1bPmMZjKeJjGMaajbt/wyCiiivdOA8y+KP7Gn7LXxq+K+hfHL4rfA/Qdd8W+GvK/sTXL+2LTW3lSGWMcEBwkhLKHDAEnGM16SbO0JybWP/vgVJRURpU4ScoxSb3039e51V8djcVSp0q1WUo01aKcm1Fb2im7RV9bKwiqqDaqgAdABS0UVZyhX5x/8HMni745eG/2JtF0z4bT6jB4X1bxQtt49nsI/lNvs3W8UzjlInmAz2Zgik8gH9HKxviF8PfBPxY8D6r8NfiR4YtNa0HW7J7TVdLv4t8VzC4wysP1BGCCAQQQDXFmWEljsDUoRlyuStf8Arp0fkfT8F5/Q4W4qwebVqKqwozUnB9V5X05l8UX0kkz8B/8Aghr8bvHHhPxd4v8Ah3rn7R+qeCvAw0r+0BbxeJrfT4JNVaWGNWUzg5cwrJkJ1CLu6LX6Y+CNT8BfFG+1XS/C3xrPjrWNQ05bO6uT4kg1K7htv3iog8n7iBppGGV+855PSvqr4F/s4/A39mfwGvwx+BHwy0vwzoS3cl0dO06E7XnkxvkZmJZ2IVRkknCqOgAHZxwQRHMUKKT1KqBXyEODcVLDKjVxb5esUm4/K8v0+R9Tx/x/gOLeLcRm2FwipRnZK9uZ2SXNKytzO2tm+13a5R8IaFH4W8J6X4Zikd107ToLVXcgswjjVATjjPHatGiivu0rKx+YN3YV+T178aNS0T/gnr45+IfxT+Kt9pfxQF1qk3iW4vpoY9SsfFyXLtb2qwNkIUkgt0hiC4+zxIygqNx/WGvMtW/Yz/Za139oK2/aq1j4H6DcfEKzRFt/FMlsTcKViMSsRnazrGdocqWACgEbRj5/iDJq+cQpKnU5OV3/AOD6q2nq9UfXcLZ3lGVRqwx9FzTlCa5VFtunz/u3zWtCpz+81drli+SWx8haL8Y/h54j8EafYfE39tybUmu9Ktxr+j6j8RrBre4kaJTNDIiYyhbcCoI44zX1R+y/4NNtruvfEl2mzqthZWMe4Dy3SCS5k3rxk5NyQTkj5R6GvXvsVn/z6Rf9+xUgAHAFc+A4brYTMIYqtiZVHFOya7q27kzx8XmkMRSnThSUFJ3023vtYKKKK+pPICiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooqDVbSXUNMubCG5aF54HjSZOsZZSAw9xnNAHzx+zv/wVd/Yi/al/aE1P9mX4N/E67vvEtgt81jJdaFdW1hra2U3k3h067lQQ3ogkO2TymbbyeQCa+jq/FT/glb+zf+0zYftE/shfs8eMf2b/ABx4UvP2SbL4kR/FDxdrfh+W20i/bVbmZbFdOvG+S/FwJVlbyydoB3dK/augAooooAK8N/bZ/wCCif7MH/BPzSvDmrftJeItXsk8Van9h0iPR/D1zfsX3xRl5DCjLDGHmhXe5UFpFAyTivcq/Pv/AIOP/FurS/sGxfBTwf8ACPx/4u8QeK/F2jXmm23gfwNfawsMOnatY3Vybh7WNxb/ALoMU348wqwXODgA/QNWDKGHQjIpa5r4O/E3RfjN8L9D+KfhzRdb02x13T0urWx8SaLNp1/AjdFntp1WSF+OUcAiuloAKKKKAKHirxPofgnwvqXjPxPfi10zSLCa91G6ZGYQwRIZJHwoJOFUnABPHArw/wDZA/4KZfspftveOPEnww+CuveILbxN4Vs4L7VfDvi7wlfaNe/YZziG8jhvIo2kgfjEgGPmX1GfavHPimDwN4J1jxtdaRf6hFo+lXF9JYaVaNPdXKxRtIYoYl5kkYLtVByzEAda/OX/AIIzfFHWP2q/2y/ix+2t+0Z8G/ib4P8Aiz4z0BNN0fw14o+GWp6TpXhXwlZXYFrp6X11CkV7eyySi4lKnuQihUagD9L6KKKACiiigD53/bN/4Ki/smfsE69ZaH+0Xq3imzS4s4ry/wBV0bwTqGo2Gj2ss/kRz311bwtFaI0gKr5jAnacCvoHTdSsNZ0631fS7tJ7W6gSa2njOVkjYBlYHuCCDX5lf8HF9hcfHP4XRfs3+B/gV+0Hr3xIisre/wDhlL8PdFu7jwnrF/NfQZttY2E2kqQ/ZUcpeqFVZSYydzV+knw9i8TweANDg8a29rFrKaPbLq8VkoEKXQiXzVjA4CB9wGO2KANiiiigAoJCgsxAAHJNFeJ/8FG/CH7S3xC/Yj+Ivw//AGQooX+IWvaA2naH52qJYlVnkSK4ZLhwVglFu0xSQg7X2nBxigBf2Nf+Cgv7L/7fMXje7/Zh8a3Gu2vw/wDFk3h3X719Okhha8jGSYHcATRkciReCCCOte11+ZX/AAb6/Cz9pL4J/Fv9pnwH8Vv2Jf8AhUHheTx7p8vh61XxGb63jaHTLa1FpayfZoRewrFEjm8T5WdmTbuUk/prQAUUUUAFfOfxK/4Kgfs6/DP9qqb9ji58IfErXfGVm+lDVT4S+G2parYaYuoki1kurq2iaK2RgHJeQgARuScKcfRlfkt/wVQ8AfELSv27X8f/ALCngT9pnS/2ide8X+EIIdb0G1u4/AGraLbBROb+WL/RJIY4JbpHW5PmLJnYNrZIB+tNFFFABRRRQByHx8+PXwl/Zg+Duv8Ax8+OvjS18PeE/DFgbvWdWu8lIY8hQAFBZ2ZmVFVQWZmAAJIrn/2Uv2uPhN+2R8PJ/iR8JLPxLZ2tpfmzvLDxd4UvNGvoJPLSRS1vdxpJsaORHVwCrBgQa+d/+Dgn9nb4xftMf8Ey/E/gn4HaDrGra3pXiPQ9dk0jw6N2oXlpZahDPOtsv8c6xq0iJ/E0YABJAqj/AMENrf8AaDj+HXxYufiJP8WG+G8/xOmb4KD44PdN4lGjfZovNNx9s/0kRG583yxL82A2PlxQB9y0UUUAf//Z", "info": {"equation": "4+52=56", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "71c22e74043ecf7dcdc9c67072bf60138f031d0aa3407182f593699922944270"} +{"episode": 975, "episode_seed": 3699863830, "split": "train", "timestamp": "2025-10-28T03:42:51.657554", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3699863830, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [1, 4, 0, 4])", "action": "('move', [1, 4, 0, 4])", "reward": 0.0, "image": 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KbBk7R8pK5C5wSM4Jrh4tw069PDcs3H94o6f3uvqraep9x4TceYDgh5msThFX9vQcVe2jV/dlf/l3Pm9+137sdGcx4iP7Nnx21jTPDXxI/aDsviXHaXzXGj+GvE3jSz1K2NyI3UTC1XCzSLG0mCyttDMQAeR7b/wSlvr6f9nTW9H0u+ubrwZo/wAQtX074Z3M+GjbQYmjWJLeQE+dbRz/AGqGFyTmKJACVAJ0v+Cinwc+F3xp+HXg74f/ABV8EWWt6LdeOkkn0+6DBHZNM1BkOUKsMMAeDXX/ALEHh/Q/Cf7M2geFvDGkwWGm6beapa2FjaxhI7eGPUrpEjUDoAoAH0rmyjL62B4knCpWdRqne763aVnq9j5bE5zRq8I/VVzXlUVou3JBRTfNHW/PJtp+7FJX1k5e76xXh3/BSrxN8YvBv7BvxT8T/AJ75PFll4Tnk0yXTIt9zCuVE0kQ671hMrAj5gVBHIFe40EBgVYAgjkGvs69N1qMqadrpq63V1v8j5fK8ZHLszoYuVNVFTnGTjLaXLJPlfk7Wfkz+bX/AIIu/F3xr4B/akuvDtv8c9S8F+F9a0W4l8UXVtr0NjHO0KMbYvJNlSwlkwMfMQ7di1fsr8Bfi+3iXXYdB+Hf7Q1x44uIr6OaaJ/E8GovCrYXD+RjbGQp+8P7xBr3H4F/smfs2/szf23/AMKE+DeieFv+Ejvhd63/AGXbbftUo3bSck4Vd77UGFXccAZNegxwQRHMUKKT12qBXxeE4Sx1GnGLxckk78sb23vpqvy3P0vxM8RMt444onmeFwfs4uEY+9bmdl8UrJq+vKtX7sY+ifRRRX3J+TH5pf8ABz14p+MuifsdeFdD8Dy38XhPV/Fvk+NpLOP924SPzLSKZhyIzKrMAflLxpnkKD8x/wDBEb47+ItP+A3iTwV8Q/2sNV8I6DoutRJ4U0oeMLWwjXzVkluvLSYFiu9o2OPlDO2OS1frP+3p4J8KfEj9mTVvAXjrQYdU0bVtb0S31LT7nPl3ETataZVtpBx9CDWJ/wAE+Phn8P8A4WfCjxB8P/h34QsdH0XTPGM8dhp1nFiOFTaWjHGckkszEkkkkkk18LmmWV8ZxNyU68qblTvddLO1t1o9/U/ZcJ4g5dQ8IHw1LBKVT2/Nz6Wtfm5tr+0/5d7W9n16HNfssaD4V8b+MNB8W+DPF39vWGi397fya1a6lHeLdXUsNxFK0syZVnZrmRiBg7h0ABFfUVIkccS7Y0Cj0UYpa+kyfK/7Jwroubm3Jybatq7eb7dz8lxmK+t1VPltZWsFfgr/AMHN/ij4yX/7beieEvGEt+vg6w8IwTeDoJI9tq8krH7ZIhHDyGREVieQEjHAxn96q8i/a0+EP7FXxX07w1F+2bofgq7trHWs+Fj4yv4rZftrgfuoTI6eYzhRmLkNtGVOBiM+y6eZ5c6EZ8rund7adH/W9j7/AMJuMcNwNxlTzOvhnXjyzjyxSc1zL4oX66We3uuR8BfsffGDQviR+xF4O0H9oz9sq+juNT8LtZ674du/iDZ2cbWW6SKO3kjXa8aNbCNSNwYhjkgk17t+wj4T8B/DT9uvX/Bv7Ofh/TtM8K3vwqt7vx1p/h2zhWwg1JLuJNJdjH/q55bR747RjfHGkhBJDN9V/tG6Xpsv7O3jy1k0+Ext4K1RGTyxgr9klGPpivEP+CcfwL+D/wAAPE/jbwl8F/h9p/hzTrrRtDu7m109WxLO0mpKZGZyzMdqqOTwBxXzFLKMRl/EGFjUxEql1J630sttW9GRV4ow2MwOZ1o03TVeTtSjb2S55Xu9VrT05Eo7pPmXLZ/VFFFFfoB+cHj+qfBv9iS8/a9svinq/h7wQ3xqTR82M819CNZNmI3i81bcvuZRH5iebsJCgruwMD1xbW1RgyW0YI6EIK/mL/aR+Mf7VOg/8FQvFPxO8QeL9a0b4k6d8RZ4LW/eRbeeyRZTBBGm75EiFuURQfkMZ5ypJP7OeCfjp4TPiaOw0H9s668Q3d4Gt7fSbjx7Z3XnM39yOMBy/HG05618LDjLB0JVYyoNPme1tfOW1n33P2jxF8NMw4WoZZOrj1iFWopq7b5LWfLDV/u/e9x6X97RH25RWL8PLnW7zwTpt14iD/bHtwZjIMMeTgsD0JGCfetqvtaFVV6EaiVuZJ2e6ur6n41Uh7Obj2djyX9vLxB8XPCv7GXxN8SfAcXn/CX2Xgy+m0FtOh8y4ScRE7ol7uo3FcAnIGATgV+AH/BHb4vePfAv7YEen2fxv1PwfoGv6ZdnxjqMGuxWS3CRwySQGSWfKlvtBTB+987AcM1f0s149+zJ8GP2IPhr4k8a337KHhzwPbapqGsY8df8IrewzyR3ivKfKuFR28hlZpcRYUA7sKMV89neSV8zxlGpTr+z5U11v6x1WvR67H63wR4g4LhngbOMnq4H20sUo2nZWjf3ffbT0j8VPf3+17nxf8avCP7F/wAYvB/i3x38YfippPj2707wnJFP4h1rxRbaneaJaKzPGbXacW7eeVKlVDSSFUJYELX3j+yfq/xO1/8AZf8Ah3rnxrguYvGF54J0ybxRHe2whmW/a1jM4kjAAR/MLZUAYORXzL/wUj/Z/wDgp8WPitceKfiT8NNM1rUPC/w0kutAuL2Nj9im866beqghWO6ND8wI+UcV9q2JLWULMSSYlyT9K4uG8HUwea4ynOo5uPIm31um7vV6rbc+VzvOKWL4cwmGXM2pSl71rU0vdUKerdpaOekdVFKPu3ctfnV/wcw+J/jFoH7B+mad8PZb+Lw9qvjC3tvG8tlHlTaeW7wpMw5WNrhYvYsEUnkA/orXkX7dfhLw348/Zd8Q+CvGOjxahpWq3mlWuo2M+dk8L6naq6HBBwQSOCDX0Oc0nWyqvBO3uv8ABX/HY5OCM8o8N8XYLM61JVY0qkZOL6q/S+nMt4/3kj8fv+CGfxm1rw98LfG3g3xl+05f+CvDtnrFrPoNhD4ptNOSW5ljk+1OBKCznbHbZP3R25Jr6sv/AAx8GfB3xE+HfxY/Zp1my1T4k658XbGKPxPpGoxajqevx3FzGNajupgzGeBbDzpJFPyQCKNlEfGfrD/gnp8Kfhv8Ifht4r+Hvwy8F2Gi6Jp/jVvsenWcWEj36bp7scsSSSzMSSScmvIvAHwD+DOift4R/HrSfhxpsHjLUfilq1pe+IVRjcSQCyvV2cttUbY0BKgEheTyc/ntPKsRTw2BryryanOCUdfdv216eiP0POeOsDm/GmZ5rToypQmpNQja1S0VFRq6pcs9ZVLc922kteZfb9FFFfqh+Jn8/wD/AMHKHiz40Xn/AAUIj8PeNLjUIvDOkeGLKTwHG6FIBHIitdTREcM5uVdWb737pB0Va+w/2Wf2grX4g/steDtQ/aH/AG2r+bWtX8NxnxPo2rfECxjSYPuBhmi4YBoioZSQ2GOSDmvvr45/sn/s4ftMX+gan8evg9ovim48L3hutBl1W3Lm0lJQtjBG5WMaZRsq20ZBxXfmztCcm1jJ/wBwV8ZX4XxlbH1q8cU4Kbvpe/o9VotlvofsPEfiZlmdcC5TkVPAqNTBpqU9LPS3u6N+/wDHUvb30t9zyn9l3wiLE65493Ska0tpBHux5bJAJSHTjnJnIzkj5Rjoa9aoAAGAKK+ly3BLLsDDDKV+Vb7X1ufkuJrvE15VGrXCvye8cfG3xP4d/Y01Pxr4m+Lt/o3xWl+JZj1W4ubq3h1C18Q/20qPaeXJlYo47dVVRjC2qJIDt+c/rDXnafsmfs3R/tAyftUp8G9EHxDlsvssniv7N/pTReUIuudu7ywI9+N2z5c44rzs+yetm8aSp1OTklf/AIK8109XqfTcL53lWURqrG0faJuE42UXeVPm/dyvtTqc3vtXfur3X0+W9C+JPwx8V+K7HT4/2r38ZXcdy76RpGoeOLS9/fGN08yOKPDNII3kXvhXbjuPrn4EeDm8B/CvTPDr+cG33N06zgB1a4uJLgqQAMYMpAHUAc811a2tqjBktowR0IQVJUZTkVTLcXLEVa7qSkuXVdL33bZ4eLx8cTRVOMFFJ30/4ZBRRRX0R5wUUUUAFFFFAHy5/wAFG/E/iLQ/GnwY0zUdautP8E3/AI2uR4juIyqW8t/HZvJpcFzISNkbXALKMgPNHCvJKq3zf4B+P2hL+0R8W/Dr/tg3vhzQNN1bS00+xtfF9jYwLqBsgL9I94LSbSluGJJ2yF04KsB+ifxU+FXw6+N/w+1T4VfFnwhZa94d1qAQ6npOoR7orhAwYZxgghlVgQQQVBBBANQ/Cn4N/C34HfD7TfhV8JfA2n6D4e0eJo9N0qwhxFArOztjOSSWZmJJJJYkkk18nmXDuLx2aPFU8Q6acUtL3XktVo999+h9nh+IMoo8OrCzw/NXS5L2jy8vtPae0v8AF7T/AJd2tbk+19k8s/ZU+IepeOtQt7jw/wDEeTxZo0dk0M+rf2ol4jtHwCZY/kMm7g4wTzkcce80iRxxLtjQKPRRilr2sqwFTLcL7KdV1Hdu78/m/wA9z5XF4iOJq88YqOlrIK/Bb/g5u8U/GW+/bc0Twn4vmv08HWHhGCfwbA8e21aSRj9rlQjh5PMRFYn5gEjHAxn96a8++Pv7Kf7On7Utpo9j+0J8IdH8WRaBfG70dNWgLfZpSAGK4IyrBV3Kcq21cg4FY57ltXNcveHpz5XdPyduj/rdI++8K+NsDwBxfTzbF0PbQUZxsrc0eZfFG+l+j1XuuR+ef7Gn7QK+P/2QfBl1+0R+21qX9s6loLR67o+qfECyhEkBkkRIpYj84DW4jDBjuIYknJNfdv7K3haGCfW/iDbO7Q6vZ2NrbMpBieKA3Dq6ED5gftJGckHAx0OfW1sbFFCJZxAAYAEYwBUoAAwBgDsK87L+HK2Dx0MTVxMqnImkmu6t1k/6sfNZ1ntLNsViKtPDxpKrOU+WO0bycuVaLRbLyCiiivqT5087v/2TP2btT/aAt/2qNQ+DmizfEK1s/stv4qe3JuUi8tovXaW8tmTeRu2nbnAAr0BbW1RgyW0YI6EIKkoqIU6dO/Kkru7t1fd+Z04jGYvFqCr1JT5IqMeZt8sVtFX2iruyWiCiiirOY8l/by8QfFzwr+xl8TfEnwHF5/wl9l4MvptBbTofMuEnERO6Je7qNxXAJyBgE4FfgB/wR2+L3j3wL+2BHp9n8b9T8H6Br+mXZ8Y6jBrsVktwkcMkkBklnypb7QUwfvfOwHDNX9LNedfBT9kn9mv9nLWPEOv/AAO+DOieGrzxXeC68QT6bbbTeSBnYZySFUNI5CLhRuOAK+azvI8TmmLpVaVZ0+RNaXur9VZrV7PVaH61wV4jZdwtwTm2SV8Gqs8Wkoy0stLe/fW0Pjp2TtO+17nzF4Pl8BfGi61Xwr4d+OknjnVdW0z7Bc3B8T2+o3VravvUBREMIgaRmyVxk8ntX3BBEIYEhByEQLz7Ckjt4IjuihRT6qoFPrpybJp5VKrKdV1JTtdtdr+bvufmeNxqxailDlUb7ef3BXzF/wAFKPEuv6APhNa3ut3Wm+DL34kRJ4wu4iEgLJaTy6fFcyEjy4XvktxyQGcRqT8wB+naw/iV8NfAfxi8B6r8MPif4VtNb8P63Zta6rpV/HuiuIm6qR1ByAQRgggEEEA135lhZ47A1KEZcrkrX/rp38jfJMdh8uzSnXrw5oK6a0btKLjeN9OaN+aN9OZI/Ozwz8fNGtf2pPin4Tb9rq98MaBpqaL5dhaeLLKwgTV2t5UvUUuC0jLFDZBwSdjll4IIH0N+zDofhH4geL9D8R+DPG//AAkVpo+sXOo3Wt22qRXv2m6aCeJ/OmTKlz9oJIGDwO1e/fB/4HfCP4AfD2w+FHwa8Aad4e8O6Z5n2HSrCHEcRd2kc/NksWdmYkkkk11McccS7Yo1UeijFfMYPhTEUKlGdXEuSptS5bO110V3p622PUzjPMDisTU+p0OWDiopuyk1GKjzSSulKVuaSUnZvd7t1FFFfaHywUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFch8fPjv8ACv8AZi+DfiH4+/G3xVFonhXwtpzXus6lKjP5UYIACqoLO7MVRUUEszKACTXX18m/8Fvfgr8T/jz/AME2fHHg74PeErzxDrmn6noWvReHdOj33GqQabrFnfT20SfxyNDbybU6swVRyaAPZP2S/wBrz4H/ALa/woPxh+A2u3t1psGrXOl6nZatpU1hfaZf27BZrW6tp1WSCVcqSjAHDqehFenV8Xf8EbfC3j/UIP2gv2l/Ffw18SeD9H+Mfx71HxN4N0DxdpEmn6iNMFjZWiXM9rJh7d5ZLaRtjgNtCk9RX2jQAUUUUAeN/tlft4/s5/sG+F9A8W/tE6/qdla+Jddi0nSV0rQ7i+d7iRlUFxCjCKMF0BdyFy6jkkCvZK+GP+DhHxZqVr/wT/ufhr4a+FnjrxXrXifxfoLabY+CPBd7rDxrZavZXs7zC1jcwr5MEhVmwGYBRya+yvhj8QNK+K/w50P4m6FpWrWFl4g0qDULSy17SpbG9gjljDqk9vMFkglAOGjcBlIIIBFAG7RRRQAV4F8Sv+Cl/wCyb8Iv2rNC/Y5+IXinWtO8WeItRttN029m8LXv9kNqNzCZrewbUfK+zC6kjAZYt+7BGcZr32vzj/bu+Nd/8av+Crnwh/ZR+KfwV+KVv8K/hh4k0nxcviHw98MtT1Kx8TeLpDs02F72CFobSxshOZ55XbmTCNtWNmoA/RyiiigAooooA8C/Z2/4KWfsq/tQfH7xF+zN8Mdd8QxeLvDmmPqb2PiHwjfaYmpaelybVr2ykuYkW7txMNnmx5UkjGRzXvtfmr+wdpXin4gf8FpPiJ+0n8Mfgp8adA8Fax8KJrD4gXfxr0e5h+xeIhq4lgsNGe6LFbQRGd2jtmNtnYV7V+lVABRRRQBHdXVtY2sl7e3CRQwxl5ZZGAVFAyWJPQAc5ryn9jH9tr9nv9vv4Qz/AB0/Zm8UXOs+GYNfvNHGoXOnyW3m3FsyrIUWQAsnzAq44INYn/BS/wCH/wC0L8WP2HfiB8Lv2XNEh1Lxh4j0yLTbfT5tcTTDc2U1zFHfxJdurLbyNZtcqkhVtrMp2kjFfPX/AAb5eCvj38Nv2fvi54H+Nv7K7/CiCH4/+KLrw9obaoblPs811looCYIvMtoSqxxXKgpcIBIoUcUAffVFFFABXjX7Yn7dPwV/Yh03wve/F3SPF+p3PjLWpdK8OaR4I8IXet315cx20ly6rb2iPIQsMUjkgcBSe1ey18O/8FyPBHw08T/Bnwr4i8c+Cf2gL/WPD15qt54F1j9ny1u31HS9bfTpbeBp3s/38UcgmdAw/dn5hIQpwQD7M8A+MtO+IngbRviBpGnalZ2muaVb39taaxp0lndwxzRrIqTwSgSQygMA0bgMrAggEGtavJP2CU/aEj/Yo+FKftYNcH4lDwFpf/Cbm8Kmf+0vsyed5u35fN3Z34437q9boAKKKKAPEfjZ/wAFDP2YvgF+0N4Z/Zb8deI9Yn8Z+J4ILmPTtC8NXmoppdrPcfZoLq/lt43SxgknzGskpVSwPOBmvbq/Hn/goj8Av2yPBf8AwWN1T41fs/6V8YV1z4gD4dp8ONX8Di5/4RnyrDUXi12219o/3KxJZPLKiT/KftDFMv0/YagAooooAK+a/gX/AMFVP2aPj9+0837IPhzwt8SdD8bnSb3U7ey8afDbUtHhurO0lWKaeKW6iRZI97qAy5BLDB5r6Ur48/ZN8BeOfir/AMFTf2if2v8A4g+DNX0zS/DOm6P8LvhnLrGnS2/2qxto/wC0dUuoPMUeZDLe3KIsqZV/spwTigD7DooooA//2Q==", 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", 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", "info": {"equation": "65-29=36", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", "info": {"equation": "65-29=36", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "4315315081613a928c0fc2b87ef277e0df7d0d54463837d9a203ce99f6e833c7"} +{"episode": 976, "episode_seed": 726338203, "split": "train", "timestamp": "2025-10-28T03:42:51.699599", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 726338203, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 7, 0, 0])", "action": "('move', [2, 7, 0, 0])", "reward": 0.0, "image": 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", 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", "info": {"equation": "75-48=27", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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"info": {"equation": "75-48=27", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "3917764d81aad1818ee0ad3d23e54e921ce80d38636c5664ff6faf8f7e115908"} +{"episode": 977, "episode_seed": 3922271575, "split": "train", "timestamp": "2025-10-28T03:42:51.737036", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3922271575, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 1, 1, 4])", "action": "('move', [0, 1, 1, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "68/4=17", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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StZ+TP5fv+CWfxL8b/Dr9tXwtd+Fvifd+FLXVnksvE+sW2pQ2pGmsBLKGmmBVAWijOeuVAHJwf151q0/Zo+PfiLRtL+Jfx10/4nz6fcSTaF4e8T+MbTVLdLhoyGmSzXCSyiPeAzK+1WfGMk1of8E7v2bvgP8ABz4s+APFvwv+FmlaLqfiTwDdy67fWsbGS8bybGT5i7Ngb3Ztq4GT04GPYv8AgpB8FfhR8cND+HvgH4teA7HXdGk8YzzvYXYZUMkelXxRsoVbIJPevyjDZTiKvD9TEqvJRjf3NbO3z/Q/bvEPxFy3jDjuhjcNQlh4qEYOas6v2ruycU9G4pc6vHdq9lz3/BIkR6Z8PPiP4N+H7O/wv0P4j3Vt8MJI0U2otGhilvYrSVc+fbpqD3aI+WHBAY44+ua8Y/YF8K+G/Av7N1p4L8G6HbaZpOleJddtdN0+zj2RW8KardBUUdgB+J6nJNez1+kZLTdPKKEW7+5H8Vf8NkfjvEuPhmme18TCNlKXXd2SXNJ9ZztzTfWTbCiiuI+NXxDh8KaG+g2Mjf2jqEJWHaB+7QnDOf1A9/pXTjsZRy/Cyr1XZRX39kvN7HkUKM8RVVOG7PEf2qviL4n8beKLH4efDO5H9ueIdSGheFmCI4hkZWe5vijSKHSCGOac4PzCJF6sAfoX4V/DTwp8HPhzovwu8EWAt9L0PT47W0QAbmCj5pHI+87tudm6szMx5Jrw79jHwFL428c63+0tr1my2sH2jw74GilKnbaRTBb28CmMMhnuIQi/McxW0bDAc5+ka8bhzCVVRnjq/wDErPmflHovu/TsduZVYc6oU/hhp8+rCiiivpDzT4y/4L3+Lvjl4M/4Jt+K9Q+Bsuowvc39raeKrrS4t0sOjSF1uSSPmRCfLR2HRHbOFLEfj/8A8EXPin4u+H/7U9xodn8Z7zwV4Z1fQ528T31rrFvYLKIUY2ytLMCAfOcYVeTuPbOP6RdY0jSvEGk3Wg69psF7Y31s9ve2d1EJIp4nUq8bq2QyspIIPBBIrgf2ev2R/wBmz9lHQdQ8M/s8fB7SPCtlqt2t1qUWnxMTcSqoRS7yMzEAdBnAyxABY5+Vzjh7E5lmMMTTruCSt1uvSzW99dV8z9n4U8UMr4e8Ncw4arYFVKmIk3GenL7yirzvrzU+W9O19bbWu/jPXvDH7JHx78QDUviz8VdC+KN5puj3UdtF4w8XWuqJplmwBupIogwSAEBN8+0MAifOu0V73/wSXvvEl1+x1Y2N/LeTeHdN8SatY/Du6vrdY3n8Nw3TppzjGN8fkgBHP3o1Q5IIY43/AAUK/Z3+CH7QPxZ+HXh340fDPTfEVjYaHrtzZ218HCxSm40pS42MpPykjByOelexfsYWlrYfsp+AbCxto4IIPDVvFBBCgVI0VcKqqOFAAAAHAArz8hwNTB8R4inOq5uMVdvrez11e2y1Pk8xzujX4QpYRc0pSnfllbkpKPPpT1bvPmvL3YJWtaV7r06iiivuj4Q8S+OnwN/YG8dftBeDvG37QfhvwDcfEm1aFfBb+INQhi1GcxzF4lhhaRTcbZSSo2vhiccmvaTZ2hOTax/98Cv5kP8Agq/8QP2hdS/4KSfEjXPjFqusWmvaF4vng8MvNugkstLhnZtOa3242J5JjlVl+8zl87mJr9Tf2bv2kp/EHwI8FeKfjD+3jqdv4qvPD1nc+ILSf4hafDsumQM6tEF+TnqvbpxXw0OMMHh8VWhOg1aVrxSu7aXltr95+5ce+FuY8N8MZTjqmYquq0NINu1O6U7UtXeGurSjrZ297T9JVVUG1VAA6AClryr9m3xf4j8ZC91mXWm1PSbqBLi1vxP5sUjP8wMTjKsrKc/KcY2468+q19VlmPhmeDjiIxcU76Pydj8VxWHlhazpt3sFFFFd5zhX81n/AAXH8XfHLxN/wUk+IFh8bZdRWPSb8WnhC2vYtkUWjAbrYwAfKUcMzlh952fPzZA/pTr4k/4KEfs4/Ar43/tC3viP4ufC/S/EF74d+GVnLos2oo7fZXN1qbkhQwVgWjQ4YEfL05OfkuNKTnk/PzW5ZJ2730/W5+u+DHHOB4D4pnjMVh/axnTlDS3NF3TvG+lnbllto762s/av+Camv/GPxR+wb8LNe+P1vdxeLLjwnAdSF/aiGdkBYQPIgxtdoBExyASWJIBJFe41znweYt8JPCzMck+HLEkn/r3Sujr6fDwdLDwg3eySu93Zbn5hmmMjmGZ18VGmqaqTlJRj8MeaTfLHyV7LyQUUUVscJ8Ff8HGfiz45eFf+Cd9ynwel1GLTdS8T2tj48uNOiyU0eSKfcsjDmOJ7gW0bEfeD7D8rEH4m/wCDXPX/AIxW37VHjjw34dgu38D3XhBZ/FDrbBoI76OYCx3SEfI5V7sKoPzAPwduR+vv7bOladrv7I3xG0PWLNLi0vfCF7b3dvJ92WJ4irKfYgkfjXkv/BPb4EfB39nz4p+PPBvwT+HeneG9MufD+i3VxaacrYlmNzqi72Z2ZmO1QBk8AcYr4zMMNJ8XYafO9Yt+nKnp6Pr8z9syHxEy/LfCDH8NTwalVqzup6W95x96XXnhb3GvLa2v1XRRRX2Z+JnxN8efGOvRf8FG9X8P/E/xHc2Wl2fw3tJPhpYXkiw2d0JJZW1eaIkjzp0MNoHHJji5wFOT4p+zB+0Voer2vjxNR/bd1LSdDtPibq8Pg22Txrp9lGdN3RuWiQrl4vtT3YSQ53oFIJGCf0E/aG/ZY/Z6/av8MWfg39on4UaV4r07Tr37XY2+pI2bebYULo6MrLlWIIBweMg4GOv8O+EvC/hLw/Y+FPDHh6zsNM0yzitNOsLS3VIraCNQkcaKBhVVQAAOABXxmJ4YxlfM6uJhiXBS7Xv6PVaLofdV+JclnksKMcNetywhK6ioRUFbng9ZOdSyc7pWfNrLmXL8t/s/eGPB3xN1rQbjwR4xGvWGneI/7VutastTjvPtF0kjzSNNMmVLPI5LYwctxivrWmxxxxLtijVR6KMU6vbyXKf7Iw8qbqOblJybatvbzfbufI43F/XKily2SVrBXh3/AAUm8SfFTwh+w98QvEXwZvNWtddttKhzeaDb+be2li11Ct9PAuCfNjszcSKQCylAQCQK9xo69a9OvSdahOmnbmTV1urq116FZXjI5dmdDFypqoqc4ycXtLlknyvfR2s9HofmJ8ffjL4L8A+I/gZpXwe/aBj8Nw32urbJdaJr9pGJfDP2OQTyNNIWCRboLcLID8zqVBJ4r1Hw38Rfhj4u8U6faf8ADUx8Z6jFJI2kaZqHja0vmjlMTq0kUUWGL+U0i55wrNx3H058Df2Mv2WP2afEGu+KvgP8DdA8Mah4lcNrV1plqVa4w7OFGSRGm52OxNq9OPlGPSltbVGDJbRgjoQgr4ajwdjVhvZSxbSd7xSbj/6Ur+eh9Nm/EGT1K1OOBoNxgvjmoxnJtt6qPMly35V7zulfS/KuM/Z48Et4B+F1to8gnD3WoX2oSJcgBka6upbgrjAwAZMAHnGM5NdvRRX2+FoLC4aFFO6ikvuVj4+rUdWrKb6tsK5H4jfCLS/iHqFrqVxqctrJAvlymKMN5keScc9CCTg8jk8GuuoqcXg8NjqDo1480X09PQdGtVoT56bsyOztILC0isbWMJFDGscajsoGAPyFSUUV0JKKsjJtt3YUUUUwCiiigDyH9pjQpbrX9B8RR6IJZLS3uLa3u0RmdfOeFni44wxhiI7krxXbfBPwSnw4+Enh7wNHJMw0zSooc3BG/gc5wAM8+ldRRXlYfK44fNK2N523USVu1l3+R1VMU6mFhRt8N9fUKKKK9U5TzL4o/safstfGr4r6F8cvit8D9B13xb4a8r+xNcv7YtNbeVIZYxwQHCSEsocMAScYzXpJs7QnJtY/++BUlFRGlThJyjFJvfTf17nVXx2NxVKnSrVZSjTVopybUVvaKbtFX1srCKqoNqqAB0AFLRRVnKFFFFABXhH7THgiTX/HLSRaG/m6voS6YLy3Ri8qBpiE7jKmaRhx/EScivd6K8vN8sWbYJ4dz5U2nffY6sHinhK3tErmd4Q0KPwt4T0vwzFI7rp2nQWqu5BZhHGqAnHGeO1aNFFemlZWOZu7CiiimI5r4x6Cnij4W674dm0dNQjvdOkhls3DESowwwwvJO3OAO+K4P8AZi8FSWXiHX/iJOJ1fUrGy09VkACMtvJdSbl4yTm5YE5x8oHBBr2GivLrZZGtmtLGub9xNW6O99b/AD/I6oYpwwkqFviadwooor1DlCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooqDVbSXUNMubCG5aF54HjSZOsZZSAw9xnNAHzx+zv/wVd/Yi/al/aE1P9mX4N/E67vvEtgt81jJdaFdW1hra2U3k3h067lQQ3ogkO2TymbbyeQCa+jq/FT/glb+zf+0zYftE/shfs8eMf2b/ABx4UvP2SbL4kR/FDxdrfh+W20i/bVbmZbFdOvG+S/FwJVlbyydoB3dK/augAooooAK8N/bZ/wCCif7MH/BPzSvDmrftJeItXsk8Van9h0iPR/D1zfsX3xRl5DCjLDGHmhXe5UFpFAyTivcq/Pv/AIOP/FurS/sGxfBTwf8ACPx/4u8QeK/F2jXmm23gfwNfawsMOnatY3Vybh7WNxb/ALoMU348wqwXODgA/QNWDKGHQjIpa5r4O/E3RfjN8L9D+KfhzRdb02x13T0urWx8SaLNp1/AjdFntp1WSF+OUcAiuloAKKKKAKHirxPofgnwvqXjPxPfi10zSLCa91G6ZGYQwRIZJHwoJOFUnABPHArw/wDZA/4KZfspftveOPEnww+CuveILbxN4Vs4L7VfDvi7wlfaNe/YZziG8jhvIo2kgfjEgGPmX1GfavHPimDwN4J1jxtdaRf6hFo+lXF9JYaVaNPdXKxRtIYoYl5kkYLtVByzEAda/OX/AIIzfFHWP2q/2y/ix+2t+0Z8G/ib4P8Aiz4z0BNN0fw14o+GWp6TpXhXwlZXYFrp6X11CkV7eyySi4lKnuQihUagD9L6KKKACiiigD53/bN/4Ki/smfsE69ZaH+0Xq3imzS4s4ry/wBV0bwTqGo2Gj2ss/kRz311bwtFaI0gKr5jAnacCvoHTdSsNZ0631fS7tJ7W6gSa2njOVkjYBlYHuCCDX5lf8HF9hcfHP4XRfs3+B/gV+0Hr3xIisre/wDhlL8PdFu7jwnrF/NfQZttY2E2kqQ/ZUcpeqFVZSYydzV+knw9i8TweANDg8a29rFrKaPbLq8VkoEKXQiXzVjA4CB9wGO2KANiiiigAoJCgsxAAHJNFeJ/8FG/CH7S3xC/Yj+Ivw//AGQooX+IWvaA2naH52qJYlVnkSK4ZLhwVglFu0xSQg7X2nBxigBf2Nf+Cgv7L/7fMXje7/Zh8a3Gu2vw/wDFk3h3X719Okhha8jGSYHcATRkciReCCCOte11+ZX/AAb6/Cz9pL4J/Fv9pnwH8Vv2Jf8AhUHheTx7p8vh61XxGb63jaHTLa1FpayfZoRewrFEjm8T5WdmTbuUk/prQAUUUUAFfOfxK/4Kgfs6/DP9qqb9ji58IfErXfGVm+lDVT4S+G2parYaYuoki1kurq2iaK2RgHJeQgARuScKcfRlfkt/wVQ8AfELSv27X8f/ALCngT9pnS/2ide8X+EIIdb0G1u4/AGraLbBROb+WL/RJIY4JbpHW5PmLJnYNrZIB+tNFFFABRRRQByHx8+PXwl/Zg+Duv8Ax8+OvjS18PeE/DFgbvWdWu8lIY8hQAFBZ2ZmVFVQWZmAAJIrn/2Uv2uPhN+2R8PJ/iR8JLPxLZ2tpfmzvLDxd4UvNGvoJPLSRS1vdxpJsaORHVwCrBgQa+d/+Dgn9nb4xftMf8Ey/E/gn4HaDrGra3pXiPQ9dk0jw6N2oXlpZahDPOtsv8c6xq0iJ/E0YABJAqj/AMENrf8AaDj+HXxYufiJP8WG+G8/xOmb4KD44PdN4lGjfZovNNx9s/0kRG583yxL82A2PlxQB9y0UUUAf//Z", 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", 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StZ+TP5fv+CWfxL8b/Dr9tXwtd+Fvifd+FLXVnksvE+sW2pQ2pGmsBLKGmmBVAWijOeuVAHJwf151q0/Zo+PfiLRtL+Jfx10/4nz6fcSTaF4e8T+MbTVLdLhoyGmSzXCSyiPeAzK+1WfGMk1of8E7v2bvgP8ABz4s+APFvwv+FmlaLqfiTwDdy67fWsbGS8bybGT5i7Ngb3Ztq4GT04GPYv8AgpB8FfhR8cND+HvgH4teA7HXdGk8YzzvYXYZUMkelXxRsoVbIJPevyjDZTiKvD9TEqvJRjf3NbO3z/Q/bvEPxFy3jDjuhjcNQlh4qEYOas6v2ruycU9G4pc6vHdq9lz3/BIkR6Z8PPiP4N+H7O/wv0P4j3Vt8MJI0U2otGhilvYrSVc+fbpqD3aI+WHBAY44+ua8Y/YF8K+G/Av7N1p4L8G6HbaZpOleJddtdN0+zj2RW8KardBUUdgB+J6nJNez1+kZLTdPKKEW7+5H8Vf8NkfjvEuPhmme18TCNlKXXd2SXNJ9ZztzTfWTbCiiuI+NXxDh8KaG+g2Mjf2jqEJWHaB+7QnDOf1A9/pXTjsZRy/Cyr1XZRX39kvN7HkUKM8RVVOG7PEf2qviL4n8beKLH4efDO5H9ueIdSGheFmCI4hkZWe5vijSKHSCGOac4PzCJF6sAfoX4V/DTwp8HPhzovwu8EWAt9L0PT47W0QAbmCj5pHI+87tudm6szMx5Jrw79jHwFL428c63+0tr1my2sH2jw74GilKnbaRTBb28CmMMhnuIQi/McxW0bDAc5+ka8bhzCVVRnjq/wDErPmflHovu/TsduZVYc6oU/hhp8+rCiiivpDzT4y/4L3+Lvjl4M/4Jt+K9Q+Bsuowvc39raeKrrS4t0sOjSF1uSSPmRCfLR2HRHbOFLEfj/8A8EXPin4u+H/7U9xodn8Z7zwV4Z1fQ528T31rrFvYLKIUY2ytLMCAfOcYVeTuPbOP6RdY0jSvEGk3Wg69psF7Y31s9ve2d1EJIp4nUq8bq2QyspIIPBBIrgf2ev2R/wBmz9lHQdQ8M/s8fB7SPCtlqt2t1qUWnxMTcSqoRS7yMzEAdBnAyxABY5+Vzjh7E5lmMMTTruCSt1uvSzW99dV8z9n4U8UMr4e8Ncw4arYFVKmIk3GenL7yirzvrzU+W9O19bbWu/jPXvDH7JHx78QDUviz8VdC+KN5puj3UdtF4w8XWuqJplmwBupIogwSAEBN8+0MAifOu0V73/wSXvvEl1+x1Y2N/LeTeHdN8SatY/Du6vrdY3n8Nw3TppzjGN8fkgBHP3o1Q5IIY43/AAUK/Z3+CH7QPxZ+HXh340fDPTfEVjYaHrtzZ218HCxSm40pS42MpPykjByOelexfsYWlrYfsp+AbCxto4IIPDVvFBBCgVI0VcKqqOFAAAAHAArz8hwNTB8R4inOq5uMVdvrez11e2y1Pk8xzujX4QpYRc0pSnfllbkpKPPpT1bvPmvL3YJWtaV7r06iiivuj4Q8S+OnwN/YG8dftBeDvG37QfhvwDcfEm1aFfBb+INQhi1GcxzF4lhhaRTcbZSSo2vhiccmvaTZ2hOTax/98Cv5kP8Agq/8QP2hdS/4KSfEjXPjFqusWmvaF4vng8MvNugkstLhnZtOa3242J5JjlVl+8zl87mJr9Tf2bv2kp/EHwI8FeKfjD+3jqdv4qvPD1nc+ILSf4hafDsumQM6tEF+TnqvbpxXw0OMMHh8VWhOg1aVrxSu7aXltr95+5ce+FuY8N8MZTjqmYquq0NINu1O6U7UtXeGurSjrZ297T9JVVUG1VAA6AClryr9m3xf4j8ZC91mXWm1PSbqBLi1vxP5sUjP8wMTjKsrKc/KcY2468+q19VlmPhmeDjiIxcU76Pydj8VxWHlhazpt3sFFFFd5zhX81n/AAXH8XfHLxN/wUk+IFh8bZdRWPSb8WnhC2vYtkUWjAbrYwAfKUcMzlh952fPzZA/pTr4k/4KEfs4/Ar43/tC3viP4ufC/S/EF74d+GVnLos2oo7fZXN1qbkhQwVgWjQ4YEfL05OfkuNKTnk/PzW5ZJ2730/W5+u+DHHOB4D4pnjMVh/axnTlDS3NF3TvG+lnbllto762s/av+Camv/GPxR+wb8LNe+P1vdxeLLjwnAdSF/aiGdkBYQPIgxtdoBExyASWJIBJFe41znweYt8JPCzMck+HLEkn/r3Sujr6fDwdLDwg3eySu93Zbn5hmmMjmGZ18VGmqaqTlJRj8MeaTfLHyV7LyQUUUVscJ8Ff8HGfiz45eFf+Cd9ynwel1GLTdS8T2tj48uNOiyU0eSKfcsjDmOJ7gW0bEfeD7D8rEH4m/wCDXPX/AIxW37VHjjw34dgu38D3XhBZ/FDrbBoI76OYCx3SEfI5V7sKoPzAPwduR+vv7bOladrv7I3xG0PWLNLi0vfCF7b3dvJ92WJ4irKfYgkfjXkv/BPb4EfB39nz4p+PPBvwT+HeneG9MufD+i3VxaacrYlmNzqi72Z2ZmO1QBk8AcYr4zMMNJ8XYafO9Yt+nKnp6Pr8z9syHxEy/LfCDH8NTwalVqzup6W95x96XXnhb3GvLa2v1XRRRX2Z+JnxN8efGOvRf8FG9X8P/E/xHc2Wl2fw3tJPhpYXkiw2d0JJZW1eaIkjzp0MNoHHJji5wFOT4p+zB+0Voer2vjxNR/bd1LSdDtPibq8Pg22Txrp9lGdN3RuWiQrl4vtT3YSQ53oFIJGCf0E/aG/ZY/Z6/av8MWfg39on4UaV4r07Tr37XY2+pI2bebYULo6MrLlWIIBweMg4GOv8O+EvC/hLw/Y+FPDHh6zsNM0yzitNOsLS3VIraCNQkcaKBhVVQAAOABXxmJ4YxlfM6uJhiXBS7Xv6PVaLofdV+JclnksKMcNetywhK6ioRUFbng9ZOdSyc7pWfNrLmXL8t/s/eGPB3xN1rQbjwR4xGvWGneI/7VutastTjvPtF0kjzSNNMmVLPI5LYwctxivrWmxxxxLtijVR6KMU6vbyXKf7Iw8qbqOblJybatvbzfbufI43F/XKily2SVrBXh3/AAUm8SfFTwh+w98QvEXwZvNWtddttKhzeaDb+be2li11Ct9PAuCfNjszcSKQCylAQCQK9xo69a9OvSdahOmnbmTV1urq116FZXjI5dmdDFypqoqc4ycXtLlknyvfR2s9HofmJ8ffjL4L8A+I/gZpXwe/aBj8Nw32urbJdaJr9pGJfDP2OQTyNNIWCRboLcLID8zqVBJ4r1Hw38Rfhj4u8U6faf8ADUx8Z6jFJI2kaZqHja0vmjlMTq0kUUWGL+U0i55wrNx3H058Df2Mv2WP2afEGu+KvgP8DdA8Mah4lcNrV1plqVa4w7OFGSRGm52OxNq9OPlGPSltbVGDJbRgjoQgr4ajwdjVhvZSxbSd7xSbj/6Ur+eh9Nm/EGT1K1OOBoNxgvjmoxnJtt6qPMly35V7zulfS/KuM/Z48Et4B+F1to8gnD3WoX2oSJcgBka6upbgrjAwAZMAHnGM5NdvRRX2+FoLC4aFFO6ikvuVj4+rUdWrKb6tsK5H4jfCLS/iHqFrqVxqctrJAvlymKMN5keScc9CCTg8jk8GuuoqcXg8NjqDo1480X09PQdGtVoT56bsyOztILC0isbWMJFDGscajsoGAPyFSUUV0JKKsjJtt3YUUUUwCiiigDyH9pjQpbrX9B8RR6IJZLS3uLa3u0RmdfOeFni44wxhiI7krxXbfBPwSnw4+Enh7wNHJMw0zSooc3BG/gc5wAM8+ldRRXlYfK44fNK2N523USVu1l3+R1VMU6mFhRt8N9fUKKKK9U5TzL4o/safstfGr4r6F8cvit8D9B13xb4a8r+xNcv7YtNbeVIZYxwQHCSEsocMAScYzXpJs7QnJtY/++BUlFRGlThJyjFJvfTf17nVXx2NxVKnSrVZSjTVopybUVvaKbtFX1srCKqoNqqAB0AFLRRVnKFFFFABXhH7THgiTX/HLSRaG/m6voS6YLy3Ri8qBpiE7jKmaRhx/EScivd6K8vN8sWbYJ4dz5U2nffY6sHinhK3tErmd4Q0KPwt4T0vwzFI7rp2nQWqu5BZhHGqAnHGeO1aNFFemlZWOZu7CiiimI5r4x6Cnij4W674dm0dNQjvdOkhls3DESowwwwvJO3OAO+K4P8AZi8FSWXiHX/iJOJ1fUrGy09VkACMtvJdSbl4yTm5YE5x8oHBBr2GivLrZZGtmtLGub9xNW6O99b/AD/I6oYpwwkqFviadwooor1DlCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooqDVbSXUNMubCG5aF54HjSZOsZZSAw9xnNAHzx+zv/wVd/Yi/al/aE1P9mX4N/E67vvEtgt81jJdaFdW1hra2U3k3h067lQQ3ogkO2TymbbyeQCa+jq/FT/glb+zf+0zYftE/shfs8eMf2b/ABx4UvP2SbL4kR/FDxdrfh+W20i/bVbmZbFdOvG+S/FwJVlbyydoB3dK/augAooooAK8N/bZ/wCCif7MH/BPzSvDmrftJeItXsk8Van9h0iPR/D1zfsX3xRl5DCjLDGHmhXe5UFpFAyTivcq/Pv/AIOP/FurS/sGxfBTwf8ACPx/4u8QeK/F2jXmm23gfwNfawsMOnatY3Vybh7WNxb/ALoMU348wqwXODgA/QNWDKGHQjIpa5r4O/E3RfjN8L9D+KfhzRdb02x13T0urWx8SaLNp1/AjdFntp1WSF+OUcAiuloAKKKKAKHirxPofgnwvqXjPxPfi10zSLCa91G6ZGYQwRIZJHwoJOFUnABPHArw/wDZA/4KZfspftveOPEnww+CuveILbxN4Vs4L7VfDvi7wlfaNe/YZziG8jhvIo2kgfjEgGPmX1GfavHPimDwN4J1jxtdaRf6hFo+lXF9JYaVaNPdXKxRtIYoYl5kkYLtVByzEAda/OX/AIIzfFHWP2q/2y/ix+2t+0Z8G/ib4P8Aiz4z0BNN0fw14o+GWp6TpXhXwlZXYFrp6X11CkV7eyySi4lKnuQihUagD9L6KKKACiiigD53/bN/4Ki/smfsE69ZaH+0Xq3imzS4s4ry/wBV0bwTqGo2Gj2ss/kRz311bwtFaI0gKr5jAnacCvoHTdSsNZ0631fS7tJ7W6gSa2njOVkjYBlYHuCCDX5lf8HF9hcfHP4XRfs3+B/gV+0Hr3xIisre/wDhlL8PdFu7jwnrF/NfQZttY2E2kqQ/ZUcpeqFVZSYydzV+knw9i8TweANDg8a29rFrKaPbLq8VkoEKXQiXzVjA4CB9wGO2KANiiiigAoJCgsxAAHJNFeJ/8FG/CH7S3xC/Yj+Ivw//AGQooX+IWvaA2naH52qJYlVnkSK4ZLhwVglFu0xSQg7X2nBxigBf2Nf+Cgv7L/7fMXje7/Zh8a3Gu2vw/wDFk3h3X719Okhha8jGSYHcATRkciReCCCOte11+ZX/AAb6/Cz9pL4J/Fv9pnwH8Vv2Jf8AhUHheTx7p8vh61XxGb63jaHTLa1FpayfZoRewrFEjm8T5WdmTbuUk/prQAUUUUAFfOfxK/4Kgfs6/DP9qqb9ji58IfErXfGVm+lDVT4S+G2parYaYuoki1kurq2iaK2RgHJeQgARuScKcfRlfkt/wVQ8AfELSv27X8f/ALCngT9pnS/2ide8X+EIIdb0G1u4/AGraLbBROb+WL/RJIY4JbpHW5PmLJnYNrZIB+tNFFFABRRRQByHx8+PXwl/Zg+Duv8Ax8+OvjS18PeE/DFgbvWdWu8lIY8hQAFBZ2ZmVFVQWZmAAJIrn/2Uv2uPhN+2R8PJ/iR8JLPxLZ2tpfmzvLDxd4UvNGvoJPLSRS1vdxpJsaORHVwCrBgQa+d/+Dgn9nb4xftMf8Ey/E/gn4HaDrGra3pXiPQ9dk0jw6N2oXlpZahDPOtsv8c6xq0iJ/E0YABJAqj/AMENrf8AaDj+HXxYufiJP8WG+G8/xOmb4KD44PdN4lGjfZovNNx9s/0kRG583yxL82A2PlxQB9y0UUUAf//Z", "info": {"equation": "68/4=17", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "aec9e993d0700fbb21af6ef54fcb5882e0fbf8845a73c32d2a3e358ea57d521c"} +{"episode": 978, "episode_seed": 3620119394, "split": "train", "timestamp": "2025-10-28T03:42:51.780195", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3620119394, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 0, 7, 0])", "action": "('move', [0, 0, 7, 0])", "reward": 0.0, "image": 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", 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", "info": {"equation": "15+32=47", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", "info": {"equation": "15+32=47", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "9d0673bd162d7d6f037af0921e05a1b189ea9d962d6bb774b35a6ec668c6b2d4"} +{"episode": 979, "episode_seed": 29383107, "split": "train", "timestamp": "2025-10-28T03:42:51.822597", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 29383107, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 4, 7, 1])", "action": "('move', [0, 4, 7, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "90-52=38", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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5pWbV32u7JJcztdlfl1pnxV+Isf7O0GvDxhqMnxlu/i9FHd6dPHE+oN4jGuIHsDbNnbElsgUKAAtoiyAhPnr9Ra+IfFfwD+DT/t73/wC0FL8ONObxqnxR0mzTxG6MbhYPsFimwZbaPkJXcBuwSM4Jrj4roSqrCyUmv3kVp/e6+qtp6nbwjmeW4GNeGMpc/wANSOkXd0+b93K9rU6nP77V37q919Plb/g6l8UfGS3k+Fng6CW/j+H9zHeXVwsUeLabV0IVBIw6usDMUU9nkIzzj6l/4N4ta+Kus/8ABM/w8nxNguVtbLX9QtvCL3NuIzJpKuhQqRy6CdrlQx7LjoBXr3/BRj4SfDb43fDjwd8PPiz4Ptdd0S68dpJPp14XCO6aZqLIcoykEMAeDXWfsQ+H9E8KfszaB4X8M6VBYadpt5qlrYWVrGFjghj1K6VI1A6AKAB9KMNh3Di+tPmetNO3zSt6aXPqs048wOO8IcHw1HCKNSlWcnU0s17zuuvO+bllfSy63tH1ivDv+ClXib4xeDf2Dfin4n+AT3yeLLLwnPJpkumRb7mFcqJpIh13rCZWBHzAqCOQK9xoIDAqwBBHINfUV6brUZU07XTV1urrf5H5fleMjl2Z0MXKmqipzjJxltLlknyvydrPyZ/Nr/wRd+LvjXwD+1JdeHbf456l4L8L61otxL4ourbXobGOdoUY2xeSbKlhLJgY+Yh27Fq/ZX4C/F9vEuuw6D8O/wBoa48cXEV9HNNE/ieDUXhVsLh/IxtjIU/eH94g17j8C/2TP2bf2Zv7b/4UJ8G9E8Lf8JHfC71v+y7bb9qlG7aTknCrvfagwq7jgDJr0GOCCI5ihRSeu1QK+LwnCWOo04xeLkknflje299NV+W5+l+JniJlvHHFE8zwuD9nFwjH3rczsvilZNX15Vq/djH0T6KKK+5PyY/NL/g568UfGXRP2OvCuh+B5b+Lwnq/i3yfG0lnH+7cJH5lpFMw5WMyqzAfdLxpnkKD8vf8EPvjTq2h/ArxV4Q8cftR6h4L0PTtfibw5psXiu005HeWN2unVZRvfkQ5PQE4HOa/aH47+EPgv48+EOv+FP2iLDRbnwVd2J/4SKPxDOkVkIFYPvld2URhWVWD5G0qCCCAag+AfgT4D+BfhBoXhb9nPSNAg8FW1oT4fTw7Kk1m0TOzl45FLCQM7Mxbcckkkk18lmXD+Jx2bPE08S6d4paXurdtVo9/U/YcL4iYHD+En+rEsBzT9tz+1suXfmve1/aW9z/r316HwVpPhf4N+BfjV8JfiL+zDqVle+O/EXxYgt7zxBol9FqF/wCItPuJS2u/bZgzG4hS3DzOzZEMkUO3YSAf0pr4i+CfwC+C/hX9uWH43+Hfhvptp4u1v4l+J7fVNfjRjPPEI9VGzkkKP3UedoGdgzmvt2nwjQlQwlZOTdqklr5W1+fU+O4tzSnmP1WEZSm4U9ZT+JuTb5VrL3IfZu7tuUrRvyor8Fv+Dm7xR8Zb79tzRPCfi+a/Twdp/hKCfwbA8e21aSRj9rlQjhpPMRFYn5gEjHAxn96a+Vf+CjHwG+Dnx68ceAtJ+Mvw70/xHa6Xo2u3mn2+oqxSGcS6Yu8BWGeCRg5B7it+LaTqZHUaduVp+uqVn99/ke74RcX4TgnjWlmWJoe1jyzjZW5o8y+KN9L6Weq92Uj5b/Y0/aBX4gfsg+DLv9oj9trUf7Y1LQWj13R9U+IFlCJIDJIiRSxn5wGtxGGDHcQxJOSa+7v2VvC0ME+t/EG2d2h1ezsbW2ZSDE8UBuHV0IHzA/aSM5IOBjoc9X+zxZWf/CgPA3+iRf8AInaZwIx/z6RV2oAAwBgDsKxyzh6thcZTxdXEyqcqdk13Vt23/Vj5XPM8pZpi8RUp0I0lVnKXLHaN5OXKtFotl5BRRRX1Z84eP6p8G/2JLz9r2y+Ker+HvBDfGpNHzYzzX0I1k2YjeLzVty+5lEfmJ5uwkKCu7AwPXFtbVGDJbRgjoQgr+Yv9pH4x/tU6D/wVC8U/E7xB4v1rRviTp3xFngtb95Ft57JFlMEEabvkSIW5RFB+QxnnKkk/s54J+OnhM+Jo7DQf2zrrxDd3ga3t9JuPHtndeczf3I4wHL8cbTnrXwsOMsHQlVjKg0+Z7W185bWffc/aPEXw0zDhahlk6uPWIVaimrtvktZ8sNX+7973Hpf3tEfblFYvw8udbvPBOm3XiIP9se3BmMgwx5OCwPQkYJ962q+1oVVXoRqJW5knZ7q6vqfjVSHs5uPZ2PJf28vEHxc8K/sZfE3xJ8Bxef8ACX2Xgy+m0FtOh8y4ScRE7ol7uo3FcAnIGATgV+AH/BHb4vePfAv7YEen2fxv1PwfoGv6ZdnxjqMGuxWS3CRwySQGSWfKlvtBTB+987AcM1f0s149+zJ8GP2IPhr4k8a337KHhzwPbapqGsY8df8ACK3sM8kd4rynyrhUdvIZWaXEWFAO7CjFfPZ3klfM8ZRqU6/s+VNdb+sdVr0eux+t8EeIOC4Z4GzjJ6uB9tLFKNp2Vo3933209I/FT39/te58X/Grwj+xf8YvB/i3x38YfippPj2707wnJFP4h1rxRbaneaJaKzPGbXacW7eeVKlVDSSFUJYELX3j+yfq/wATtf8A2X/h3rnxrguYvGF54J0ybxRHe2whmW/a1jM4kjAAR/MLZUAYORXzL/wUj/Z/+CnxY+K1x4p+JPw00zWtQ8L/AA0kutAuL2Nj9im866beqghWO6ND8wI+UcV9q2JLWULMSSYlyT9K4uG8HUwea4ynOo5uPIm31um7vV6rbc+VzvOKWL4cwmGXM2pSl71rU0vdUKerdpaOekdVFKPu3ctfnV/wcw+J/jFoH7B+mad8PZb+Lw9qvjC3tvG8tlHlTaeW7wpMw5WNrhYvYsEUnkA/orXkX7dfhLw348/Zd8Q+CvGOjxahpWq3mlWuo2M+dk8L6naq6HBBwQSOCDX0Oc0nWyqvBO3uv8Ff8djk4Izyjw3xdgszrUlVjSqRk4vqr9L6cy3j/eSPx+/4IZ/GbWvD3wt8beDfGX7Tl/4K8O2esWs+g2EPim005JbmWOT7U4EoLOdsdtk/dHbkmvqfVvBnwN8MfEj4a/F79nO+03WPiXqfxisfsfinTL2HU9U1oXM6JrS3E4LGWJdOe4eT+GBUQqI88/Wv/BPT4U/Df4Q/DbxX8Pfhl4LsNF0TT/GrfY9Os4sJHv03T3Y5YkklmYkkk5NeReAPgH8GdE/bwj+PWk/DjTYPGWo/FLVrS98QqjG4kgFlers5bao2xoCVAJC8nk5/PYZVXp4bA15V5NTnBKOto3101e3oj9DznjrA5vxpmea06MqMJqTUI2tUtFRUauqXLPWVS3PdtpLXmX2/RRRX6ofiZ/P/AP8AByh4s+NF5/wUIj8PeNLjUIvDOkeGLKTwHG6FIBHIitdTREcM5uVdWb737pB0Va+w/wBln9oK1+IP7LXg7UP2h/22r+bWtX8NxnxPo2rfECxjSYPuBhmi4YBoioZSQ2GOSDmvvr45/sn/ALOH7TF/oGp/Hr4PaL4puPC94brQZdVty5tJSULYwRuVjGmUbKttGQcV35s7QnJtYyf9wV8ZX4XxlbH1q8cU4Kbvpe/o9VotlvofsPEfiZlmdcC5TkVPAqNTBpqU9LPS3u6N+/8AHUvb30t9zyn9l3wiLE65493Ska0tpBHux5bJAJSHTjnJnIzkj5Rjoa9aoAAGAKK+ly3BLLsDDDKV+Vb7X1ufkuJrvE15VGrXCvye8cfG3xP4d/Y01Pxr4m+Lt/o3xWl+JZj1W4ubq3h1C18Q/wBtKj2nlyZWKOO3VVUYwtqiSA7fnP6w152n7Jn7N0f7QMn7VKfBvRB8Q5bL7LJ4r+zf6U0XlCLrnbu8sCPfjds+XOOK87PsnrZvGkqdTk5JX/4K8109XqfTcL53lWURqrG0faJuE42UXeVPm/dyvtTqc3vtXfur3X0+W9C+JPwx8V+K7HT4/wBq9/GV3Hcu+kaRqHji0vf3xjdPMjijwzSCN5F74V247j65+BHg5vAfwr0zw6/nBt9zdOs4AdWuLiS4KkADGDKQB1AHPNdWtraowZLaMEdCEFSVGU5FUy3FyxFWu6kpLl1XS9922eHi8fHE0VTjBRSd9P8AhkFFFFfRHnBRRRQAUUUUAfml/wAHPXin4y6J+x14V0PwPLfxeE9X8W+T42ks4/3bhI/MtIpmHIjMqswB+UvGmeQoPzH/AMERvjt4j0/4DeJPBfxD/av1bwhoOi61EnhTSv8AhL7WwjXzVkluvLSYFiu9o2OPlDO2OS1ftT8U/hX8O/jd8P8AVPhV8WfCFnr3h3WrcQ6ppN/HuiuEDBgDjBBDKrAgggqCCCAai+FXwc+F3wP+H+m/Cv4S+BtP0Hw9o8TR6bpVjDiKBWdnbGckkszMSSSSxJJJr5TMuHcXjs0eKp4h004paXurdFqtHvvv0P17C+JOWYfwp/1UlglKr7b2ntNLWvzc21/af8u9rez69DwL9ljQfCvjfxhoPi3wZ4u/t6w0W/vb+TWrXUo7xbq6lhuIpWlmTKs7NcyMQMHcOgAIr6ipEjjiXbGgUeijFLXq5Plf9k4V0XNzbk5NtW1dvN9u5+WYzFfW6qny2srWCvin46eO7nTf28PG9l8X/FzabpGk/DzTJ/BkGp3CW9kNOdpn1S6jZiA7iaKBZmPKJHDnapBb7Wrz34/fso/s5ftTWmj2P7Qvwg0bxZFoF6bvR01aAv8AZpWADFcEZVgq7kOVbauQcCpz3Laua5e8PTnyu6fk7dH/AFvY9XhzMcvy7GT+uxbpzi4txSc4+9GSlFSaV/d5XqvdlLXo/gr9j/8AaP0u8+AHhPXfG37c+q2t5HHKYLDUPHGn2pFlHdSrZrJb7QY82qwbkODyc4Oa+9f2dte8Q+IvDN1qWrX8l3aSTq+n3ckhcSqw3MVb+JMkEEccn0rvVsLFFCJZxAKMACMYAqUAAYAwB2FcOW5BisDjI16mKlUSTVne2v8A28/6sZ5tm+GzGtVnSw8aSnJySVrRTbdlottvQKKKK+mPDPO7/wDZM/Zu1P8AaAt/2qNQ+DmizfEK1s/stv4qe3JuUi8tovXaW8tmTeRu2nbnAAr0BbW1RgyW0YI6EIKkoqIU6dO/Kkru7t1fd+Z04jGYvFqCr1JT5IqMeZt8sVtFX2iruyWiCiiirOY8l/by8QfFzwr+xl8TfEnwHF5/wl9l4MvptBbTofMuEnERO6Je7qNxXAJyBgE4FfgB/wAEdvi9498C/tgR6fZ/G/U/B+ga/pl2fGOowa7FZLcJHDJJAZJZ8qW+0FMH73zsBwzV/SzXnXwU/ZJ/Zr/Zy1jxDr/wO+DOieGrzxXeC68QT6bbbTeSBnYZySFUNI5CLhRuOAK+azvI8TmmLpVaVZ0+RNaXur9VZrV7PVaH61wV4jZdwtwTm2SV8Gqs8Wkoy0stLe/fW0Pjp2TtO+17nzF4Pl8BfGi61Xwr4d+OknjnVdW0z7Bc3B8T2+o3VravvUBREMIgaRmyVxk8ntX3BBEIYEhByEQLz7Ckjt4IjuihRT6qoFPrpybJp5VKrKdV1JTtdtdr+bvufmeNxqxailDlUb7ef3BXzF/wUo8S6/oA+E1re63dab4MvfiREnjC7iISAslpPLp8VzISPLhe+S3HJAZxGpPzAH6drD+JXw18B/GLwHqvww+J/hW01vw/rdm1rqulX8e6K4ibqpHUHIBBGCCAQQQDXfmWFnjsDUoRlyuStf8Arp38jfJMdh8uzSnXrw5oK6a0btKLjeN9OaN+aN9OZI/Ozwz8fNGtf2pPin4Tb9rq98MaBpqaL5dhaeLLKwgTV2t5UvUUuC0jLFDZBwSdjll4IIH0N+zDofhH4geL9D8R+DPG/wDwkVpo+sXOo3Wt22qRXv2m6aCeJ/OmTKlz9oJIGDwO1e/fB/4HfCP4AfD2w+FHwa8Aad4e8O6Z5n2HSrCHEcRd2kc/NksWdmYkkkk11McccS7Yo1UeijFfMYPhTEUKlGdXEuSptS5bO110V3p622PUzjPMDisTU+p0OWDiopuyk1GKjzSSulKVuaSUnZvd7t1FFFfaHywUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFch8fPjv8K/2Yvg34h+Pvxt8VRaJ4V8Lac17rOpSoz+VGCAAqqCzuzFUVFBLMygAk119fJv/AAW9+CvxP+PP/BNnxx4O+D3hK88Q65p+p6Fr0Xh3To99xqkGm6xZ309tEn8cjQ28m1OrMFUcmgD2T9kv9rz4H/tr/Cg/GH4Da7e3Wmwatc6Xqdlq2lTWF9pl/bsFmtbq2nVZIJVypKMAcOp6EV6dXxd/wRt8LeP9Qg/aC/aX8V/DXxJ4P0f4x/HvUfE3g3QPF2kSafqI0wWNlaJcz2smHt3lktpG2OA20KT1FfaNABRRRQB43+2V+3j+zn+wb4X0Dxb+0Tr+p2Vr4l12LSdJXStDuL53uJGVQXEKMIowXQF3IXLqOSQK9kr4Y/4OEfFmpWv/AAT/ALn4a+GvhZ468V614n8X6C2m2PgjwXe6w8a2Wr2V7O8wtY3MK+TBIVZsBmAUcmvsr4Y/EDSviv8ADnQ/iboWlatYWXiDSoNQtLLXtKlsb2COWMOqT28wWSCUA4aNwGUgggEUAbtFFFABXgXxK/4KX/sm/CL9qzQv2OfiF4p1rTvFniLUbbTdNvZvC17/AGQ2o3MJmt7BtR8r7MLqSMBli37sEZxmvfa/OP8Abu+Nd/8AGr/gq58If2Ufin8Ffilb/Cv4YeJNJ8XL4h8PfDLU9SsfE3i6Q7NNhe9ghaG0sbITmeeV25kwjbVjZqAP0cooooAKKKKAPAv2dv8AgpZ+yr+1B8fvEX7M3wx13xDF4u8OaY+pvY+IfCN9pialp6XJtWvbKS5iRbu3Ew2ebHlSSMZHNe+1+av7B2leKfiB/wAFpPiJ+0n8Mfgp8adA8Fax8KJrD4gXfxr0e5h+xeIhq4lgsNGe6LFbQRGd2jtmNtnYV7V+lVABRRRQBHdXVtY2sl7e3CRQwxl5ZZGAVFAyWJPQAc5ryn9jH9tr9nv9vv4Qz/HT9mbxRc6z4Zg1+80cahc6fJbebcWzKshRZACyfMCrjgg1if8ABS/4f/tC/Fj9h34gfC79lzRIdS8YeI9Mi0230+bXE0w3NlNcxR38SXbqy28jWbXKpIVbazKdpIxXz1/wb5eCvj38Nv2fvi54H+Nv7K7/AAogh+P/AIouvD2htqhuU+zzXWWigJgi8y2hKrHFcqClwgEihRxQB99UUUUAFeNftift0/BX9iHTfC978XdI8X6nc+Mtal0rw5pHgjwhd63fXlzHbSXLqtvaI8hCwxSOSBwFJ7V7LXw7/wAFyPBHw08T/Bnwr4i8c+Cf2gL/AFjw9eareeBdY/Z8tbt9R0vW306W3gad7P8AfxRyCZ0DD92fmEhCnBAPszwD4y074ieBtG+IGkadqVnaa5pVvf21prGnSWd3DHNGsipPBKBJDKAwDRuAysCCAQa1q8k/YJT9oSP9ij4Up+1g1wfiUPAWl/8ACbm8Kmf+0vsyed5u35fN3Z34437q9boAKKKKAPEfjZ/wUM/Zi+AX7Q3hn9lvx14j1ifxn4ngguY9O0Lw1eaiml2s9x9mgur+W3jdLGCSfMaySlVLA84Ga9ur8ef+CiPwC/bI8F/8FjdU+NX7P+lfGFdc+IA+HafDjV/A4uf+EZ8qw1F4tdttfaP9ysSWTyyok/yn7QxTL9P2GoAKKKKACvmv4F/8FVP2aPj9+0837IPhzwt8SdD8bnSb3U7ey8afDbUtHhurO0lWKaeKW6iRZI97qAy5BLDB5r6Ur48/ZN8BeOfir/wVN/aJ/a/+IPgzV9M0vwzpuj/C74Zy6xp0tv8AarG2j/tHVLqDzFHmQy3tyiLKmVf7KcE4oA+w6KKKAP/Z", "info": {"equation": "90-52=38", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "50c3dc8c267c615bac87485d374a396aab3884a28ab602fb0fe31abd6b915c67"} +{"episode": 980, "episode_seed": 534533629, "split": "train", "timestamp": "2025-10-28T03:42:51.865154", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 534533629, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 4, 7, 4])", "action": "('move', [4, 4, 7, 4])", "reward": 0.0, "image": 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", 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epr6Q/wCCkfwD+DPx0+IvhYfGD4c6d4hXQvB+tXmkLqKMy20/nWWXADANnaMhsg45FesfEzSdL1T9grXbHUdPhmhufhLcR3EbxjEiNpjBgfqCRX5zVyjEYvOcaoYiUOWzdr6qSbs9Votlvoft2f8AiNgM04FyPKKWDVOphb3qK26srwtrefxzvb30tXueD/sB+GPCPw5/bc8c+B/gDoFjpvg6f4d6fe+MNO0KxhTT7TXBdMlmQYxiOeSy80vGMZSOFyAWDP8AblfMP/BO74JfCX4Ba/478DfBnwDYeHdJeDSbl7LT1ba8zG8DSMWJZmIVRkk8KAOBX09X0vCsOTIqOt73f4vQ/OOLswpZjncqlPmajGMeaVuefLFLmlZtXfa7sklzO12V/LR8aPjL+1hov7fHi74m+IvFWtaT8UP+Esv7S/upGWC4gZt9s1vhvkWLyD5QU/II8AfLiv6l68Y+MX7J37OEXiLxd+1TH8HdFHxDl8HX9o/iv7OftRi+xvF1zt3eWBHvxu2fLnHFHEGUVs1hS9nU5OR3/wCD6rp6vU+x8LfEPLuAf7RWKwar/WaXs47aPX3ZX/5dzv79rv3Y6M8A8N+OLfwf8a7PSoPiIdIutV8CWUFjpI1RITqRWedjtjOHleMDjZyods9a+0fA1xrV14P0658QowvXtENxvGGJx1I7EjBI9c14P+xwiN8SNVZkBI8CaLgkdP317X0bXm8HYCpTwccW6rammlHorSfn+i3Z8BnFeMqzo8qunv1egV4d/wAFKvE3xj8HfsG/FPxP8AXvk8WWXhOeTS5dMi33MK5UTSRDrvWEysCPmBUEcgV7jUOoFhYTleohbH5Gvrq9N1qMqadrpq63V1v8jlyvGRy7M6GLlTVRU5xk4y+GXLJPlfk7Wfkz+bv/AIIu/F7xr4B/akuvDlv8c9S8FeF9a0W4l8UXNtr0NhHO0KMbYvJNlSwlkwMfMd7DoWr9bfBCeBfjfc6n4U8NfG6TxvqWrWcdjf3w8SW+o3VtbEyBFzEMRopklYblxlmJJHAf/wAE0P2f/gr8F/HtndfCv4aaZocviH4bR3mtyWcbFryfzbQ73Lkngu5AGANxwOa+144IIjmKFFJ67VAr85ybh2tmWWwqSxMlBt+5a60l/it0vsfqfipx/geLOL6mYYXCezXJCOtuZ2W8rJ668q1+GMfRPooor9LPx0K+av2zPFujfDWfUvFulWhur9LKJY9OQIPtV/K4itoVyygtJI8anJH3s5r6F8VeJdO8I6FPr+qMfKgUfKv3nYnAUe5Jr5e8P+AdS/aW+Pd5NrKSf2b4NtDqskhYKk+uXKulmhBjO5YIPOkbDDDTwHBI4+Q4qf11U8vpRUqknzeiinr89l8z2MpXsXLETdorT1b/AMj1v9iPT/Cdl+y/4UuPCczTfbrN7vWLqaBI5p9Ukldr5plRmCy/afOVl3NtK7ckKK9Wr5//AGR4ta8DfEHxX4HlC/2LrNz/AGvYQ70VrO/OEvItgQHbIVjmByx3mfO3K5+gK9rJcZSx2WU6lNWsrNdmtGv66HFjaM6GJlGWvW/dMK/BX/g5v8T/ABkv/wBtvRPCXjCW/XwdYeEYJvB0Eke21aSVj9skQjh5DIiKxPzAJGOBjP71V8q/8FGPgN8HPj1448BaT8Zfh3p/iO10vRtdvNPt9RVikM4l0xd4CsM8EjByD3FefxbSdTI6jTtytP11Ss/vv8j9C8IuL8JwTxrSzLE0Pax5Zxsrc0eZfFG+l9LPVe7KR8nfsffGDQfiT+xF4O0L9ov9sq+jn1Twu1nrvh27+INnZxtZbpIo7eSNNrxo1sI1I3BirHJBJr3f9hHwn4D+Gn7dev8Ag39nPw/p2meFb34VW93460/w7ZwrYQakl3Emkuxj/wBXPLaPfHaMb440kIJIZve7nTdOuP8AgnzJbzWELI/wbKshjGCDpOMVwH/BOP4F/B/4AeJ/G3hL4L/D7T/DmnXWjaHd3Nrp6tiWdpNSUyMzlmY7VUcngDivCw+VYjBZ9hPaV5TupPW+iS23ejuZVuJ8NisFmdWNN01Wk7Uo29kued7vVa09ORKL1SfMuWz+qKKKK/Qj83PH9U+Df7El5+17ZfFPV/D3ghvjUmj5sZ5r6EaybMRvF5q25fcyiPzE83YSFBXdgYHri2tqjBktowR0IQV/MX+0j8Y/2qdB/wCCoXin4neIPF+taN8SdO+Is8FrfvItvPZIspggjTd8iRC3KIoPyGM85Ukn9nPBPx08JnxNHYaD+2ddeIbu8DW9vpNx49s7rzmb+5HGA5fjjac9a+Fhxlg6EqsZUGnzPa2vnLaz77n7R4i+GmYcLUMsnVx6xCrUU1dt8lrPlhq/3fve49L+9oj7corF+Hlzrd54J0268RB/tj24MxkGGPJwWB6EjBPvW1X2tCqq9CNRK3Mk7PdXV9T8aqQ9nNx7Ox5L+3l4g+LnhX9jL4m+JPgOLz/hL7LwZfTaC2nQ+ZcJOIid0S93UbiuATkDAJwK/AD/AII7/F7x74E/bAj060+N+p+D9A1/TLs+MdQg12KyW4SKGSSAySz5Ut9oKYP3vnYDhmr+lmviH/gm/wDs/wDwV+EfxX07xF8Nvhrpmj3/AIm+HV1d6/d20bGS9m+0aa25y5OPmkc4GBljxXyHEmCq4rNcJGFVwcuZXXSyvdarfZn6/wAC8fYDhvgTOcnrYNVZ4lR5ZO1ldcvvX19z44Wvad9tyPwfL4C+NF1qvhXw78dJPHOq6tpn2C5uD4nt9RurW1feoCiIYRA0jNkrjJ5PavuCCIQwJCDkIgXn2FJHbwRHdFCin1VQKfXsZNk08qlVlOq6kp2u2u1/N33PyvG41YtRShyqN9vP7gr86v8Ag5h8T/GLQP2D9M074ezX8Xh7VfGNvbeN5bKPKm08t3hSZhysbXCxexYIp6gH9Fa5j40eFfhN42+E/iDwt8d7DSLnwdeaXKviSPXpVjsxaBdztK7kCNVA3b8jbtDAgjNd2ZYWWNwFShGXK5Jq/wDXTv5HtcFZ5S4a4swWaVaPto0akZOHV+n95bx/vJH4kf8ABDP4za14d+Fvjbwb4y/acv8AwV4cs9YtZ9BsIfFNppyS3Mscn2pwJQWc7Y7bJ+6O3JNfVl/4Y+DPg74ifDv4sfs06zZap8Sdc+LtjFH4n0jUYtR1PX47i5jGtR3UwZjPAth50kin5IBFGyiPjP3v+zn8Pv2d/h/8G9G8Mfsw6R4dh8DwpK+iDw1cR3Fm4aV2kdJUZhJmQvltxOc88V8t+APgH8GdE/bwj+PWk/DjTYPGWo/FLVrS98QqjG4kgFlers5bao2xoCVAJC8nk5+CxGQ4nL3hOfEuSdSCSV7Rv1jr92iP0HNuPMHnPGWZZtChKhGak/ZpL37JR5ayuklLWVTSercUteZfb9FFFfpZ+LHw58a/Hkdh+2x8WrL42+M5NM03SvBmkP4Ug1OeO3tY9Ba3dr67gLECQm98xJnOdvk26nAK7vKP2Yvjt4d8Y/syeEz8Zf22L+W61DQQmr6Lq/juwt1mtmLKkM0AClA0GwMnBG4g4Oa+9/jp+yd+zf8AtM3+gan8e/g7oviq48L3jXWgy6rblzaSMULYwRuVjGhKNlW2DIOK782doTk2sZP+4K+Mr8L4ytj61eOKcFN30vf0eq0Wy30Pt8ZxHlFXKqNKlhv3tqam2opR9nDkXI1dv2nx1LqPvJfFueU/su+ERYnXPHu6UjWltII92PLZIBKQ6cc5M5GckfKMdDXrVAAAwBRX0uW4JZdgYYZSvyrfa+tz4/E13ia8qjVrhWb4x08at4S1TSzYpci506eI20mdsoaNhsOOcHOOPWtKiuyceeDje1zGL5ZJnjf7LvgX+yNa1nxe1vPD5unWmmRwyJtQLA878AjOQZSp57Adc17JRRXDleAjlmAhhlLm5b67btv9TfFV3iq8qrVr/wDDBXjH/BQ/xD8S/Cv7FHxG8QfCO61O31y28Ps0d3okHm3ltbGRBdTQLg5lS2MzqQCQyggEgCvZ6CAwKsAQRyDXXXputRlTTtdNXW6ut/ka5bi44DMaOKlBTVOcZOL2lytPle+jtZ6M/Mz4ifGnwR4Q+P8A8JPDHw5/aR/4RjRbvwnqranPo3iS0t4pNIWCD7FI88m7AadYxHg/vB5mNwViPfvgL8X28S67DoPw7/aGuPHFxFfRzTRP4ng1F4VbC4fyMbYyFP3h/eINe4/Ar9kv9mz9mT+2/wDhQfwa0Twt/wAJHei71r+y7bb9qlXdtJyThV3vtQYVdzYAya9BjggiOYoUUnrtUCvi8JwljqNOMXi5JJ35Y3tvfTVflufRZznuU160Y4Kh7kY8vNNRU5NuUnKSjzK65uVe8/dittk+iiivuT5AyvGvhOz8beHJ/D17M0QlwyTKMmNwcg4PX6ehpvgfwhZeB/DkPh+ymaURktJMy4Mjk5JwOnoB6Adeta9Fc31TDfWvrPL79uW/le9jT21T2Xsr+7e9vM5Pw/8ACTR/D/jq68bwX0jtOXaG2ZAFiZz85z39vTJ69usooow2Ew2Dg4UY8qbbfq9wq1qlaSc3dpWCvin46eO7nTf28PG9l8X/ABc2m6RpPw80yfwZBqdwlvZDTnaZ9Uuo2YgO4migWZjyiRw52qQW+1q89+P37KP7OX7U1po9j+0L8ING8WRaBem70dNWgL/ZpWADFcEZVgq7kOVbauQcCuDPctq5rl7w9OfK7p+Tt0f9b2Pc4czHL8uxk/rsW6c4uLcUnOPvRkpRUmlf3eV6r3ZS16P4B/Za+Ovhfxf+zP4fi+Kf7bOpAXdlc28uj6p45sLQSaaLiaO2imtwoMYa0EIZOGwxzg5r7g/ZW8LQwT638QbZ3aHV7OxtbZlIMTxQG4dXQgfMD9pIzkg4GOhz62thYooRLOIBRgARjAFSgADAGAOwrzsv4crYPHQxNXEyqciaSa7q3WT/AKsTmuc0Mwq1nRoKlGpJystopu6SsltsvIKKKK+pPBPO7/8AZM/Zu1P9oC3/AGqNQ+DmizfEK1s/stv4qe3JuUi8tovXaW8tmTeRu2nbnAAr0BbW1RgyW0YI6EIKkoqIU6dO/Kkru7t1fd+Z04jGYvFqCr1JT5IqMeZt8sVtFX2iruyWiCiiirOY8o/bp174peF/2O/iT4h+Cr36eKLPwjeS6RLpUHm3UTiM7pIUwd0qpuZQATuAwCcCvh3x98ZvAngv4nfA/wAPfC39pF/Dmk32i6kt7e6X4itIfP0FbBDDLLPLu25u4bVVIOXYSjna2P05rzr4Kfskfs1fs5ax4h8QfA74M6H4ZvPFd4LrxBPplttN5IGdlzkkKoaRyEXCjccAV81nWR4nNMXSq0qzhyJrrdX6qzWvR6rQ+wyTPcqy/KatDE0Oep77hpG0nOCh77eqVO3PCyl7117t+ZeEfBD4xjxBrY0D4dftH3Pje8W5jna3fxTb6jJEv3ORBgrGc85GO9fXgzjmmR28ER3RQop9VUCn12ZRlVbLFP2leVVytv0t83/SR85jMVDFOPLBRt2/4ZBX51f8HMPij4xeH/2ENM074ezX8Xh7VfGFvbeN5bKP5TaeW7wxzMOVja4WL2LBFPUA/orWH8Sfht4D+MPgPVfhh8T/AAtaa3oGt2bWuq6VfR7oriJuqkdRzggjBBAIIIBrszHCyx2BqUIy5XJWv/XTv5HtcGZ9Q4X4qwebVqXtYUZqTjpql2vpzLeP95I/EH/gh18c/E+j/Cjxh4G8eftT6r4O8M6Vqds/hjTV8W2unxedMJmuzGswLEZEJIHygsSOWav0x/Zh0Pwj8QPF+h+I/Bnjf/hIrTR9YudRutbttUivftN00E8T+dMmVLn7QSQMHgdq9/8Ag/8AA/4SfAH4e2Hwp+DfgDTvD/h3TPM+w6VYQ4jiLu0jn5iSSzsxJJJJNdRHHHEu2KNVHooxXzGD4UxFGpRnVxTkqbUuWztddFd6fdse3x1xphOK+JsbmeGwqpRrvRaXtZRvKy+KVuaWr95vV7jqKKK+0Pz0KKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACuQ+Pnx3+Ff7MXwb8Q/H342+KotE8K+FtOa91nUpUZ/KjBAAVVBZ3ZiqKiglmZQASa6+vk3/gt78Ffif8ef+CbPjjwd8HvCV54h1zT9T0LXovDunR77jVINN1izvp7aJP45Ght5NqdWYKo5NAHsn7Jf7XnwP/bX+FB+MPwG129utNg1a50vU7LVtKmsL7TL+3YLNa3VtOqyQSrlSUYA4dT0Ir06vi7/AII2+FvH+oQftBftL+K/hr4k8H6P8Y/j3qPibwboHi7SJNP1EaYLGytEuZ7WTD27yyW0jbHAbaFJ6ivtGgAooooA8b/bK/bx/Zz/AGDfC+geLf2idf1OytfEuuxaTpK6VodxfO9xIyqC4hRhFGC6Au5C5dRySBXslfDH/Bwj4s1K1/4J/wBz8NfDXws8deK9a8T+L9BbTbHwR4LvdYeNbLV7K9neYWsbmFfJgkKs2AzAKOTX2V8MfiBpXxX+HOh/E3QtK1awsvEGlQahaWWvaVLY3sEcsYdUnt5gskEoBw0bgMpBBAIoA3aKKKACvAviV/wUv/ZN+EX7Vmhfsc/ELxTrWneLPEWo22m6bezeFr3+yG1G5hM1vYNqPlfZhdSRgMsW/dgjOM177X5x/t3fGu/+NX/BVz4Q/so/FP4K/FK3+Ffww8SaT4uXxD4e+GWp6lY+JvF0h2abC97BC0NpY2QnM88rtzJhG2rGzUAfo5RRRQAUUUUAeBfs7f8ABSz9lX9qD4/eIv2ZvhjrviGLxd4c0x9Tex8Q+Eb7TE1LT0uTate2UlzEi3duJhs82PKkkYyOa99r81f2DtK8U/ED/gtJ8RP2k/hj8FPjToHgrWPhRNYfEC7+Nej3MP2LxENXEsFhoz3RYraCIzu0dsxts7Cvav0qoAKKKKAI7q6trG1kvb24SKGGMvLLIwCooGSxJ6ADnNeU/sY/ttfs9/t9/CGf46fszeKLnWfDMGv3mjjULnT5Lbzbi2ZVkKLIAWT5gVccEGsT/gpf8P8A9oX4sfsO/ED4XfsuaJDqXjDxHpkWm2+nza4mmG5sprmKO/iS7dWW3kaza5VJCrbWZTtJGK+ev+DfLwV8e/ht+z98XPA/xt/ZXf4UQQ/H/wAUXXh7Q21Q3KfZ5rrLRQEwReZbQlVjiuVBS4QCRQo4oA++qKKKACvGv2xP26fgr+xDpvhe9+LukeL9TufGWtS6V4c0jwR4Qu9bvry5jtpLl1W3tEeQhYYpHJA4Ck9q9lr4d/4LkeCPhp4n+DPhXxF458E/tAX+seHrzVbzwLrH7PlrdvqOl62+nS28DTvZ/v4o5BM6Bh+7PzCQhTggH2Z4B8Zad8RPA2jfEDSNO1KztNc0q3v7a01jTpLO7hjmjWRUnglAkhlAYBo3AZWBBAINa1eSfsEp+0JH+xR8KU/awa4PxKHgLS/+E3N4VM/9pfZk87zdvy+buzvxxv3V63QAUUUUAeI/Gz/goZ+zF8Av2hvDP7LfjrxHrE/jPxPBBcx6doXhq81FNLtZ7j7NBdX8tvG6WMEk+Y1klKqWB5wM17dX48/8FEfgF+2R4L/4LG6p8av2f9K+MK658QB8O0+HGr+Bxc/8Iz5VhqLxa7ba+0f7lYksnllRJ/lP2himX6fsNQAUUUUAFfNfwL/4Kqfs0fH79p5v2QfDnhb4k6H43Ok3up29l40+G2paPDdWdpKsU08Ut1EiyR73UBlyCWGDzX0pXx5+yb4C8c/FX/gqb+0T+1/8QfBmr6ZpfhnTdH+F3wzl1jTpbf7VY20f9o6pdQeYo8yGW9uURZUyr/ZTgnFAH2HRRRQB/9k=", 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", "info": {"equation": "8+2*9=26", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "8+2*9=26", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "6c70f5cce84fa95bec8a39a4dc03fb26b3152131ca854e05a1442ef0e89739ba"} +{"episode": 981, "episode_seed": 4203866100, "split": "train", "timestamp": "2025-10-28T03:42:51.902286", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4203866100, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 0, 2, 8])", "action": "('move', [6, 0, 2, 8])", "reward": 0.0, "image": 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", 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", "info": {"equation": "17*3=51", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", "info": {"equation": "17*3=51", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "a38401b2bd2c672a18983162d3417977b2b12ec52632ff7f947cb2034cd25c8d"} +{"episode": 982, "episode_seed": 3190819433, "split": "train", "timestamp": "2025-10-28T03:42:51.949545", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3190819433, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 0, 0, 5])", "action": "('move', [2, 0, 0, 5])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "9+10*8=89", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "9+10*8=89", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "f591957ce327c81642da25e5a1eb8236c6a8ce7a94d6072d41c77997e7de57f0"} +{"episode": 983, "episode_seed": 454531713, "split": "train", "timestamp": "2025-10-28T03:42:51.986948", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 454531713, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 6, 1, 4])", "action": "('move', [4, 6, 1, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "16-10=6", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "16-10=6", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "d52716fef0d384ad91704ac5d1fa68966d974b396929f0e230a24a1760dfca98"} +{"episode": 984, "episode_seed": 3640418808, "split": "train", "timestamp": "2025-10-28T03:42:52.033666", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3640418808, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [7, 0, 2, 4])", "action": "('move', [7, 0, 2, 4])", "reward": 0.0, "image": 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", 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4P+E/hbT5b1PBF5f6jPqoij/0eXU40iFsJGH8Qie4KqeoLkZxxT/4J5fFHw347/YA8LeBv2h/2sru0tZtLudKufCd547tLGBtJSV4YbZ4gVkWJoFCkFgzIevNfpt+1Z8O/wBlz4m/B668O/thWHhifwUl5BPct4tv0tbSK4V8RP5zugjfc20EMCdxXkMQV+PPhXwdB+yl4y8MaPodimjJ8PtQtLWztolEAtRYyIsaBeAmzAAHGOlfN5nw/icVmFbEwxLgnFaK99Faz1Wmn56H6FPxBwk/DfLuHlg+WpQrSn7bTXVv3Xvz++ubVWUYa6+74T/wTo0jQfBPx6+K3w6+D+nW9j4Ds9O0O7k0vSbeNNOsdelF0LpIdnypI1rHp7yRjABZGIBfJ+va+dP+Cd/wg+GHwM8O+Mvh78IfBNl4f0WHX7eePT7BW2ebJZQl3JYlmY4HJJ4AHQAV9F16vDUXDI6Cbvpf729PkfB8V46lmGe1a1O7VoxvL4pcsIx5pWbtKVrtXla9uaW7+Ov+C83iP4seGf8AgmT48u/hNLexyXL2dr4gm0+PMiaVLOqXOSOVRlIRyP4HbPBJr83v+CFvxh1Xwz8O/Hvg7xZ+0zf+CPDtvq1pdaPYweKbXTkmvJY5FuZAJQWc7IbYHsMDuTX7p+NdG8JeI/BureH/AB/ZWVzoV9ps8GtW+o7fs8lo8bLKsu7jYULBs8YzXH/sx/Dr9mb4efBrTPDf7KGleGYvA6yzyaY3he7jurOV2lbzWWZWcSN5gYE7iQV28bcDkzbIsRmOZRr08Q6do20vffpZrR31+R9rk/HuDy3wuxfDk8Fzzq14zVWy5UrRdm7N8/uNR7xlLa2vx/8As1+FvhN8Pv2xvhde/syXNnPdeKY9fbx5qOi3cd6+taSIJpnvr+cMxlcaobdVnY53zyRg4JUfoHXx5+xv8EfhJ8O/2uNe+I/gjwBp+ma94rXxTL4i1W2RvNv2XWYCC5JIAyxOFABPJHAr7DquE6Lo5ZKLk378t/J2/S/qz5Li3MoZljaLi5S5KcYuU/ik25TbestubkjeTbjFPT4UVxfx38XReFfAVxGblYpL7MAkZsBI8ZkYnPACg89siu0r5n/aVvZvjx4+0f4KaE0zWev6kNKvZo2C+XYKGm1GTJRwN0EbQrkcvKmCM5HVn+KnRwPsaT/eVXyR+ejfyX6Hh5fSU6/PL4Yav5HZfsSeDTafDG5+L+p2fl6j4/vRqwLxIJI9OCiPT4SVZsgW6pKRnh7iXgZIr2amQQQWsCWtrCkcUaBY441AVVAwAAOgA7U+vUwmGp4PDQoQ2ikvuOWtVlWquct2FFFFdBmfiJ/wdO+IfivJ+0H8OPCWpyXq+B08IS3ekIY8W0uqNcyJdHcPvyLCLQYP3VcYxvOf1S/4Jzax8Tdf/YS+E+r/ABihuU8Rz+B7A6iLyARSn90BGzqMYYxhCeAcnkA5rh/+CkXwT+E3xzk8FeHfi/4DsPENjYLqt9aWmoKxSO4SKALJhSM4DMMHIOeQa97+Cv8AyRzwlwP+RZsOg/6d46+Xy6g4cSYyXM3pDT1X6W09T9T4l41weceG+UZFTwyhPDSqOU9Nbv7PX3r3nfeUU9enTV+G3/B0Z4o+Lo/as8A+GdTur+Lwba+DPtnhxQpWBtRa5lW7dWH3pFRLQHuoK4xu5/cmvK/2o/hR+x/8UbLwvF+1zong+7gsfEcT+E/+EtvYoFOpMDsjhMjr5ruB/qvmD7RlTgY9HPMvnmeXSoRnyttO720fX+t7HD4V8XYfgjjOjmlbDOvGMZx5YpOS5otXjfqtn/dcj4T+BHxF8E/tA/sx+BdD/ak/aql8UajrWjabP4h8IeIfHVo0F7eApJHFParhpP3gjbymJywAYHkV9Of8EvNP07w74e+J/gzwBZRW/gPSPiTNF4Pgs7dEtIGeztpdQhtinDRJfvcjjIWQyIMbdq+j/txeBPB3xA/Zm17wV408OW2o6Vqt9pVtqNjOpCTxPqdqGQlSDgj0INUf2BvAfg34YfAmX4ffD3w5baRomk+JdQg07TbNSI4I/NzgZJJySSSSSSSSSTXz+W5ZXwHEcYVK8qj9m3d9ua1t3p19Tmx/EGHxuQ4pRg4e2q3VNW9lC7UueOvx6ezXur3G/ed7Htdcj8ePCPwX8d/CDX/Cn7RNlotx4Ju7EjxFH4huFishArB90sjsoQKyqwbI2lQQQQK66vzj/wCDm3xJ8WNF/YW0TS/A8t7H4e1TxrbweMntEyjQLFJJAkzDlYzOiH0LqgPOAfqczxUcHl9StKPMop6d/Xy7+R5vA+R1eJOLsFltKt7GVWpFKezjbW8dve093Ve9bVH3n8HPB3wf8H/Crw/4Z+B2laND4Ps9KhTw4miOktobTbmNonUkSKwO7fk7s7sknNdQqqoCqoAHQAV+Lf8AwRq+POsQ/sit4e+J/wC1/qvhe10bxJcWnhfR28a2lisVjsjkO2OUFyvnyTYJ46gcCv1a/Zp8Wax4z8OXevXGunVNOuWjl07UROJUnDqSWjcfKyEbSCvHPFeHlXE+FzHEU8NClKLa8uVWV9PLotF0OvjXhbE8NcQY3CVa6qulUkue7vLXd3+1r7yu7O+r3PS6KKK+qPigr+dv9jjx1+1Lqf8AwXi0jxHr6atL45vPitd2vi2K4tAZY7DfJFeIyHhIo7QOBjhERdvQV/RJXx54S+Cfwl03/govcfHex8A6fH4x1HxteWF74hCMbiW2XQXAj5O0DCIMgAnaMmvmOI6Dq1sHJSa/exWnn1+VvxP1Pw341wfCeAzihXwyqvFYeUIt2916qzv9h815Jatxjp1X2HRRRX05+WH81f7O/wAaP2itC/4KzTeMPiP8UNa8KeKtY8c3th4/1WS+jsZobYzN9qhkaT5I0VYgAvRfLTbyq1+vHgCbwJ8atauvC2gfHqbxzqWoWyWtxM3ii31G5s7Yvg7REMRpliSWGM961vh58D/hHpP/AAUFuvjfp/w/0+LxdrHjTVbLUte2MZ57ddLlCxnJKgYjT7oBO0ZzX2HHbwRHdFCin1VQK/OMt4drY6NW+JkoxqSTjunytavW136H7H4l+IWA4szHCYnDYJUfZ4eEHtur3Ssvgje0VvbteyfRRRX6OfjgV59+0jpA1PwRaXB0wXBsdVjuFfaSYDskTeMezleeMMa9Borkx+E+vYKph+bl5k1fsbYer7CtGpa9nc5f4LeEj4H+FujeGWMu6C2LsJ8bw0jtIQcAYwXIx7V1FFFbUKSoUY019lJfcrGc5Oc3Lufkb/wdUeI/ixa+DvhP4V0+W9TwRe3+oz6qIk/0eXU40iFsJGH8Qie4KqeuXIzjiT/gnF8d08U/sQ+ENP8Aj5+2Nf21x9iuNPk8O6l46s7eM6ZHK8MEDwt8/lmBVXBIYr35Br9Pfjr+z78F/wBprwBJ8Lvj18O9P8T6BLdRXLabqSMUE0ZJSRSpDKwyRkEcMR0JFdJo3hrw94e0e08P6FolraWNhbR29laW8CpHBEihURVAwFVQAAOgFfLY/hvF4zMqmJhiXTUklZXvorW3WnX5s/VMT4h5dX8NMDwysEva0Ks5uppZp8zVtG+Z81pX0tCO+0fPf2YPC40rQNX8UBpP+J5qEcy7sbCscEcQZOOQdvXn2r0+gAAYAor6LL8GsBgqeHTvyq1+5+X4is8RXlUta58df8F5vEnxY8Mf8EyfHl38JZb2KS4eztfEE2nx5kTSpZ1S5yRyqMpCOR/A7Z4JNfnF/wAEMvjXr+g/Dfxv4I8aftRan4M8NWGp2k/h/To/Fltp8bXMyy/amRZgWbiOAnHygnPVjn91PFHhjw9418Nah4O8W6Pb6jpWrWUtnqVhdxh4rmCVCkkbqeqsrEEehrnvgt8Avg1+zr8PrX4VfBL4d6b4d8P2UssltplhEdivI5d2JYlmJYnkknoOgArxM2yHFZjmMcRSrumlG2l779LNaPrr0P03J/EHLst8MsVwxUwanVq1o1FUdrJLlvfd8y5eVdOWctre95L+x/onhvxB4ig+IPhPxL/bGn2mkXlvDq1vfJdRXklxcRSSyNMmRJIXhYkg/eZsjpj6JpERI12RoFA7AYpa9XKcu/svBqhz87u3d6Xu7+f5n5ti8T9are0tbbT0CuX8E/C7SvBGvajrlldvK18xEcbIAIELbioPfnv6Ae5PUUV1VcLh69WFScbyhdxfa6szGFWpCEoxej3CiiiugzCiiigDyj9qPw2+uWmjzxaSZpEa4t47iNGZ4zMqLtGOPm2jqOqivRPBegp4V8HaT4Xjd2XTdMgtVaQgsRHGqZOOM8dq06K8+hgFQzCtiua7qKKt25Vb8ToqYhzw8KVvhv8AiFfht/wdGeKPi6P2rPAPhnU7q/i8G2vgz7Z4cUKVgbUWuZVu3Vh96RUS0B7qCuMbuf3JrhPjj+zH8Af2lrfRbT48/CnSPFMfh3VF1HRU1WAuLW5AxvXBGQRjKnKtgZBwKxzvLqmaZfLDwlyttPy0fX+tz7rwv4ywfAfGFLN8VQ9rCMZxaVuZc0Wrxvpfo/7rZ8G/ss/HWy+IvwB+H978cP2xLvV/Eeo6Np9xq/h/V/HNmVmvvkdEe3XD7xII2CZzuAzzkV95/s7eEm8J/DkLIJg+o6jc37pMMFTK+cAYHGACM+tdt9ktQ24W0ec9dgqSuHKshrZfjHiKuIdR8vLqtldPdt9j5jN83p5nVqTp0Y0lOblyx2V29ErLRXsvJBXP/FT4V/Dv43fD7VPhV8WfCNnr3h3WrcQ6ppN+haK4QMGAOCCCGVWBBBBUEEEV0FFfRyjGcXGSumeRRrVcPVjVpScZRaaadmmtU01qmnqmtjB+HXwv+Hvwl8DaV8NPht4QsdH0HRLJLTStMs4QI7eFRwozkn1JJJJJJJJJrdVVUBVUADoAKWiiMYxSSVkhVatSvUlUqScpSbbbd229W23u31YUUUUyArxfS/h+br9p062dMkthYanNqjNCp2TM9m9qGYnOcrJ2xynsRXtFFefjsAsdOjJyt7Oan62vodFDEOgppK/MmvvCiiivQOc/Kq4+N+raB8IfhfrHij46X/hzx7qvxakh8Z3cupW1pewXhnuxrME3m5FvHDG7qMAbFFuB99d3098Afi/H4i8VQ6B8P/2kLnxxdfbIZprWXxVb6i8MedhyIMFYyCclhjvkYr3rw9+y7+z34U+OGtftJ+HfhJo1p468RWS2mteJorf/AEm7hAjG1jnAz5MWSAC2xck4ruo7eCI7ooUU+qqBXxGH4TxtKTbxckua9lfXW93qtX10evc+2z7iPKcfWU8JhuW93K6impTbbjG1/ch8Mdm1d2jflT6KKK+3PiQooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK8f/AGzf26v2cv2CPh9p/wASf2jvFF9Y2OraobDTLXSNGuNQu7mVYZJ5WSC3RpCkUEMs0j42okbMSK9gr4H/AOC3Hhz4l6B4i+Df7R/g/wCC3ivx7pHg9fGuja5ofgvRJNSvkm1vwzd6fZTfZ48sYvtJSJ36RrPuPANAH3T4V8UeHvHHhfTfGvhHWINR0nWLCG90vULV90VzbyoJI5UPdWRlYH0NX68i/wCCf/wm8Z/Ab9hb4OfBP4ix7Nf8J/DDQtJ1uLeG8q7t7CGKWPI4IV1Zc99teu0AFcz8Zvi94G+AXwq1/wCM/wAS7+4ttB8N6bJfanNaWMtzKIkGSI4olZ5HJwFVQSSQBXTVyHx++IGlfCv4J+KfiHreia1qVrpOiXE89h4c0abUb6cBCNsFtArSTOc8IoJNAEX7O3x8+HP7UnwO8L/tD/CK+urnwz4v0iLUtEnvbN7eV4JPul43+ZDx0PNdpXyL/wAEKde1K9/4Ja/Cjwb4g+H3i3wxrHg/w/HoOuaT4y8L3Wk3SXcCqzlIrlEaSL94NsoG1iGAOQcfXVABSSSJFG0sjAKoJYnsKWkkcRxtIwJCgkgDJNAHiX7JX/BQr9mP9tfxH4t8HfAzxFrD6t4Kltv7b0vxB4bvNLuPs9yHNteRR3UaNNbTCOQxzKCrbTjtn26vgL/gkP8AFnUP2nv2oPj3+1h8V/hB8RvB3jnxVeWOl6ZoPjH4e6hpFppHhXTpbmHTbeK5uYkju7mZpLi7n8skIbhEHCZP37QAUUUUAeI3X/BQr9mjT/2x7L9hbUtZ1218d6nFMdLa68L3kel308Nqt5LaQ37Ri3luEt2WVolcsqnnB4r26vz2+M+neKfib/wXR+Dvin4XfB/4uR3vgG31qy+IeteJdKuP+EMj0KbSHMF3pssha3F7Jdywwl4NsxWORJBtUV+hNABRRRQB5Z+1h+2X8Av2KvCfh3xl+0B4ql0y08V+MbDwvoKW1m9xLd6leOVhiVEBOPlZmboqqSa9Tr8vv+Dg/wCCX7bHxJ8TeAviB8C/2Xl+JvhTwnLozWcNp4mFrdaVrknifS5XuPsqwSyXCtbWiW5mG1baK5uZW3KrLX6d6dNe3GnwT6jZrb3Dwq09usu8ROQCyhsDdg5GcDOKAJqKKKAPNP2sP2rvhX+xp8KB8Yvi9ba9cabJrVlpNrZeGNAn1S/u7y7mEMEMNtbq0kru7BQFBPNdT8JPiXo/xk+GmifFPw/omt6bZa7p6XdtYeJNGm06/gRhwk9tOqyQOO6OARXhX/BWHwh8IfGX7KH2T44+Dvi7rHh+x8V6ZqMh+B9rcS+IbG4t5TLb3UItv36qkyx5eH51JU8KGI1P+CUy/tJp/wAE7/hOv7XjayfiF/wjC/28fEjZ1Lb50n2b7Wev2n7N5Hm558zfnnNAH0HRRRQBW1nWNK8PaRd+INd1CG0sbG2kuLy7uJAscMSKWd2Y8BQoJJ7AV5d+yD+2x8B/25PAl98Sf2f7/W7nSLK/Futzrfhq7037WjRrJFdW4uY0M9tKjBo5kyjjODwRV39tb4a+L/jP+xv8Wfg/8PiP7e8VfDTXdI0TL7Qbu50+eGEZPT53Xmvj/wD4N6PDX7Q/hH4LeN/D3xN034s2PguxuPD1p4K074yrOuqWt9FodrHrccC3H7xLBdQV1gUfugqt5fyYoA/Q2iiigAr58+Ef/BS79nn4yftZap+xZonhr4g6R440yx1G+8rxT8PtQ0yzvbWyuUtp7i2ubiNY7iLzJECyRkq4YEE5FfQdfKH7Ofgfxn8Rv+CqHx8/ab8aeE9UsNJ8J+F/D/w3+H91qWnywJewKj6tqlzbmRQJYmubu3h8xMqWsyM5U0AfV9FFFABXgXxq/wCCmH7JH7P37UPhn9kH4l+M9TtvGPih9PS1W18P3VxY2T388lvYJd3caGK1a5mikjiEjAuykCvfa/KD/gpH8G/jj4q/4LNfD/xv4d+BPjrV5o9Q+HbeAdZ0DQpJvDMtraa1fza++uyqPK822tZY5bQzndG77ofmJoA/V+iiigD/2Q==", 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", "info": {"equation": "156/13=12", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "156/13=12", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "dd9f7a2ace0f1f68abf73f4c3ee08d91844cd8bd04d27e9ee54b365e9430be98"} +{"episode": 985, "episode_seed": 4063848766, "split": "train", "timestamp": "2025-10-28T03:42:52.066119", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4063848766, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [1, 0, 3, 0])", "action": "('move', [1, 0, 3, 0])", "reward": 0.0, "image": 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", "info": {"equation": "21/7=3", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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TtBAzzjIFfB59hZS4lwkudrma+XK+nqfv3AvihlnDvhjmWQ1sCqlSpzWlpyy51b95fV8m8bXvovdtzH3PRRRX3h+AhRRXC/Gb4n2/hHTJPD+lzN/al1CNjKARChJBY574BwPfNcmOxuHy/Cyr1nZL8X0S82bUKFTEVVTgtWeVftc/HfTPD1jc3rRzXdnpMqW9pYWhXztS1CWRYYreLcwV3eR0jTJHLE5xzXcfsg/AK9+B/wANXvvGwtbjxx4quBq3jjUreBV33jqMWqEMxMFsmIIhuI2pu6uxPk37NPw3uPjn8dpvi34isH/4RP4b6jLY+FoJguzUdeEbRXV7saPJS2SVraNg+PNNwcZRGr6wr5/h3B1q855piV+8q7LtHp/Xb1PQzGtCnFYWl8Md/NhRRRX1Z5IUUUUAFfi1/wAHSvjT9oWH4p+AfAE0upw/Cufw+L21WOHbZ3WurPcJMJHH35I7f7OVVvuiVyv3mx+0tfOH/BSz4X/D74y/DrwJ8Ovil4Uttb0O/wDiNF9s027LCOXZpWpSJkqQwwyqeCOleFxLRdfJayUmrK+nW2tn5M/QPC/irC8G8a4bNMRQVaEbprS65lbmjfTmj0va+qur3X58/wDBq/4l+Or+J/iX4QW2vX+GaafFdvM9oPs8eul4kVUlPO9rYMWQZGEjJxld37K18y/8E4PhZ8OfgvH8Rfh38KPBtjoOiWfiGxe203T4ysas+m27OxySWYk5LMSenOAK+mqXDFN08jo3d7q/pd7E+J3E2G4v42xWaYegqMJtJR0u7JLmlbTmlu7el3a7KKK4n9pTVPihof7O3jzWvghZSXPjO08G6nN4St4rdZWl1NbWRrZQjfK5MoQBTwc4Ne5OXJBytex8RhaDxWJhRTScmlduyV3a7fRLq+x5rZ/s9f8ABNuL9seb4jWPhX4bj43faGvJo01OA6usxtgWnNn5mRIYTvMnl7iG35ySx98+x2f/AD6x/wDfsV/JLH8WfjZ4f+NzfGX/AITbXbXx/ba+2oSa7JO66gmoiQs0jM3zeZvyCD7gjHFfub8M/j7puofDTw7ffEL9vnVLfxBPoFnJr0H/AAsnTk8q9aBDOu1VIXEhcYHAxgV8Hg+M8FDn5sO43bfupa+b217n7v4seE+ZcHQwNSrmX1nnhyLnbvDktpBNy/d+97u1u2p+iCIka7Y0CgdABilrwr9nj4jeI/H/AIitdb0Hxedf0a7hJmv4Lxbi3dVBUOroSmdykfKeSG7jj3WvqsozSnm+FdeEHFXa18uv9dbo/C8XhZYSryNp6X0CiiivUOU/n4/4OQfGv7Quq/t9Xfgr4mTanH4I0rSbOT4c200Oy0kgktYTdzxY4kc3XmozH5gI0X7oXPo3/BFj9ovx7N8Cdd8HfFr9rrWfC/h7w9f29p4K06Txja2KpGwlkuUjWYF2RWaLH8K7iF7gfrB+2X8I/wBiT4reBtLi/bj0nwXLoVjqudHu/GmpxWUcV28b5SKZ5IzuZFYlA3zCPJB2Ajv/AIX+D/hf4P8Ahxofhj4R6JpFr4WstLhj8PwaOqG1W02AxGIrkMhUghgTuznJzmviK3DGLrZrVrwxThza6X5tej1Wi6a9Ef0BnHizluYeE+D4bWWWnT5Y+0aXs7095wdm/aT/AOXm3xS1dz4I1X4dfsWfGnX9Y8bfE/xl4Y+JmqJoLQapq/i/xRbapJp2lrywU7gtnCCSxlQIQzMd4Jr3H/gj1qnjS/8A2RZdP1iTUJvCuleMtU0/4WXmp2ixS3XheJ0WxcYA3xj96sbkfNGiEZXax5H9tj9l79nv9oT9sBJPjX8JtK8RnR/h9pJ037ergQeZqGp78BGUMG8tMhsj5frX0D+w9b29n+yL8PbOzt44YYfDNvHDDEgVI0UYVVUcAAAAAcACubh3BVMLxHiISqOTgtW/tXs9dXsfA5tntGtwhSwl5zlOUXaduSkocySpe82+ZP3naCSVuWWjXqtFFFfoB+enxN+2Z4w8T2n/AAUU8D+FfiV4hvNO8DJ8P5LvwHDOyw6fqPih7qa3ukaQkebcpZPCIoiScTylVJLEeI2n7QmnWf7efjLwboX7WV14b8JweCbObxBDp/iixsraPxCs4gWJZHBZ5Bax4kQE7GTDBTgH9GPjj8Avg1+0r8P5/hZ8d/h3pvifQLi4ink03U4iyiWNtySKwIZGHI3KQcMw6MQXfBr4D/Bz9nr4fWfwr+Cvw60zw54fsXke20zToMIruxZ3JOWZiSSWYk9OeBXxuN4YxmKzaeKhiHBNdL8y8lqtPn5W6n39PifIoZHGlLDOVdQ9na0fZ2vf2t/i9o9Vy8vxPn57e4fLXw3+Onh+81OXw54X/a1n8V3l+gKafN41tb2YCPLFo0hw445YjPA54FfWvw0uvEV74KsbnxUjresh8zzVw5G47Sw7EjGRW0ltbRtujt0U+oQCn16OU5JiMuxMq1XEyqXVrO/ffVv5erPkcXjqeJpKEaajZ30/4ZBRRRX0J5wUUUUAYPxS0SPxN8Nte8NT6THfxajpFxa3FjLnbPFJGyOhwQeVZhxzzXjvwG+HEuo/FnT/AB3cQ3UI8Pabe2kalNqM1x5AZWyM7lEI4BGM89RX0BRXj4zKI4zMqOLc2vZ9Lb/Pp57/ACOyjjHRw06Kj8XUKKKK9g4wrjPiF8GdJ8e6zDrb6rLaSqqx3HlxhvNQE9M9G5xnkexrs6K5cZgsLj6PssRHmjvb09DWjWq0J89N2ZX0nTLTRdMt9IsI9sNtCsca+wGKsUUV0RjGEVGKskZttu7CiiiqEFFFFABXmv7Tfh0a94U0u6k0RbsaVq4vYptrFrWQQSxCQY/2JZFJPAD16VRXHmGE+v4KeH5uXmVrm2HrewrRqWvY8r/Zd+H7+FbLxD4vmFwsniXUoLgxzABQsVtFApQYBwQmcnOc5HFeqUUUZfg44DBQw6d+VWv3DEVniK0qjVrhRRRXYYnktv8AsI/sfWn7QL/tT237PnhxPiBJdNdP4lFqfO+0NH5bTbc+WJCucuF3EktncSa9W+x2f/PrH/37FSUVnTpUqV+SKV3d2Vrvu/M68XmGPx7g8VVlU5IqMeaTlyxW0Vdu0V0S0QiIka7Y0CgdABiloorQ5AooooA/n4/4OQfGv7Quq/t9Xfgr4mTanH4I0rSbOT4c200Oy0kgktYTdzxY4kc3XmozH5gI0X7oXPo3/BFj9ovx7N8Cdd8HfFr9rrWfC/h7w9f29p4K06Txja2KpGwlkuUjWYF2RWaLH8K7iF7gfr9+0R+yf+zl+1l4fsPC/wC0Z8ItJ8WWWl3hutOj1KNt1tKVKMUdCrKCDyoOGwpIJUY6nwL8OfAnwy8G6Z8PPh/4SsNI0TRrJLTS9MsbdUitoUGFRR/XqTknJNfE1+FcbVzOriYYlwUtbq/Nr03Wi6a9tD97zfxfyfMvCzCcLxy5KrS5E5e7yLk+3DRv2lT7baXxT1dz49+Gvir4e+LvFV1e+FPjWnjrX5bWGOeeTxLBqV2ltHI5jjAh5WMSTOR8v3pTzyBX1h8C/AMfwu+D3hz4fRSzONJ0qKDdcEFzgZ+bAAzz6V1MdvBEd0UCKfVVAp9epk2QyyrEVK86zqSmkrtfnq7n4rjMesVTjCMFFL+uyCiiivojzgooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAPnT9tL/gqj+xt+wR4p0vwL8f/Gmr/wBu6ppM+rLo3hnwzeatc2mmQnE2oXKWsbm3tkOQZXwvB9DXuHw1+JPgP4x/D7Rfit8LvFVnrnhzxFpkOoaJrGny74by2lQPHIh9CpHXkdCAa/Lr/gpL4Y+Mv7Mv/BUj4i/tZ3P7M/j/AOI3g74tfskah8OvDU3gDwtNrEllr/2kyJaXUcIJt4JRg+c3yAsc9DX2N/wRt/Z2+Kf7KH/BMT4N/AH42WLWfirQPCKLrWnvKHaylllkn+zkqSC0YkCHBIBUgUAfTVFFFABRRRQByvxu+NHw9/Z4+FOt/Gn4q6tNZeH/AA/afaNRuLaxluZQpZUVUihVpJHZmVQqqSSwrjv2K/22fgR+378Fv+F+fs66lqtz4eGs3elO2s6PNYXCXVswWZGhmAddrHHI659K7P41fFjQfgX8LdZ+LXifQNf1Sw0O1Fxc6f4X0GfU9QmXeq4htbdWlmbLA7VUnAJ6A1+fX/BtR491jRv2bfGH7PXjv4JfEvwj4htviN4h8T58a/DzUdJtZ7C+vy1v5U9zEiSSlSC0akso6igD9LaKKKACiiigAr5Yvv8Agsr+wjo/7SWnfsv+I/G3iPSNa1jxRJ4b0bXdY8Eala6HqGrxv5b2UGoywrbyyiT5PlYjdxmvqevyD/aY/aOv/wBuz/gqd4Z+GP7T/wCzd8bPDfwS+BPxDt7rwVY6X8GNYvV8c+KIpmhj1K5vYrcxWumQN8yYb96rb2YKxCgH6+UUUUAFFFFABXjf7Xv7dPwO/Ym0bTNV+L9j4u1CXWPtDWOmeC/BV/rd2YoEDzzvFZxOY4o1ZS0j7VGRzXslfHn/AAWH8cfC1fgra/Bv4yfDP9o3UdG8RQ3Vzb69+zzp+oy3VvdwxGNLS5fTm81UmE7EJIpgcx/ORtFAH0B+yt+1R8Df20/gXof7R/7OXjVNf8JeII5G07UFt3hbdHI0ckbxyAMjo6srKRwRXodfGf8AwQD+F37RXwY/4JXfDf4a/tOfDv8A4RXxBpaXqWWiT6fFa3UGmm6ka0N1HEAq3DRkM5I3EnLfMTX2ZQAUUUUAFFFeX/trWP7R+q/smfELSf2QWs1+Jt54WurfwTLf3KwxRX8ibEkLuQqldxYE8blGaAOS/Z7/AOCmP7If7Uv7U3xE/Y7+CHxAuNa8Z/C1T/wl6RabILOBllWF0juCNkrJKSjBScMrDsa99r8af+CMf7O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"info": {"equation": "21/7=3", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "4ddfcacd8c195eac795500148238bf72e0b84596e9f62b2fa30a4b078e1ecd73"} +{"episode": 986, "episode_seed": 748979619, "split": "train", "timestamp": "2025-10-28T03:42:52.112804", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 748979619, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 5, 8, 0])", "action": "('move', [0, 5, 8, 0])", "reward": 0.0, "image": 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", 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", 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ia8z/AGOdG0nw5+zR4T8PaBp0NnYWFlJbWVpboFjghjnkRI1A6KqgAD0FemV9nlkXDLqMW72jHX5I/KM8xkMwznEYmMeVTnJ29W9/Pv5n5G/8HVHiP4sWvg74T+FtOlvU8EXl/qM+qiKP/R5dTjWIWwkYfxCJ7gqp65cjOOJP+CcPx3j8VfsQ+ENP+Pf7Y1/bXAsrjT5PDupeOrO3jOmRyvDBA8LfP5ZgVVwSGK9+Qa+8P+Chvwk+G3xv+GnhX4efFnwfa67ol143ikuNOvC4R2TT75kOUZTwwB4Ndp+yNoei6R+zT4M0nS9Jtre1tNEjgtbeGEKkUaEqiKB0AUAAegr5LG5TiMfxFWjTryp3hF6X22tutNL/ADP0jFceYCr4WYDh/wCpr2lCtOTqaap8zVtG+Z89pX6Qjv8AZi/Zg8LjStA1fxQGk/4nmoRzLuxsKxwRxBk45B29efavT6AABgCivr8vwawGCp4dO/KrX7n5RiKzxFeVS1rnx1/wXm8SfFjwx/wTJ8eXfwllvYpLh7O18QTafHmRNKlnVLnJHKoykI5H8Dtngk1+cX/BDL416/oPw38b+CPGn7UWp+DPDVhqdpP4f06PxZbafG1zMsv2pkWYFm4jgJx8oJz1Y5/c/wAa6N4S8R+DdW8P+P7KyudCvtNng1q31Hb9nktHjZZVl3cbChYNnjGa4/8AZj+HX7M3w8+DWmeG/wBlDSvDMXgdZZ5NMbwvdx3VnK7St5rLMrOJG8wMCdxIK7eNuB4ebZFiMxzKNeniHTtG2l779LNaO+vyP1HJ+PMHlvhdi+HJ4LnnVrxmqtlypWi7N2b5/ctHvGUtra/Hf7N3gz4OeAv20PhVrf7NA0+51DxLb+IR431fR7iK+l1fRzDJPLeX1yCzSN/aq2gExOTJI8ecfKP0Hr48/Y3+CPwk+Hf7XGvfEfwR4A0/TNe8Vr4pl8RarbI3m37LrMBBckkAZYnCgAnkjgV9h1XCdF0MslFyb9+W/k7fpf1Z8lxbmUMyxtFxcpclOMXKfxSbcptvWW3NyRvJtxinp8KK4v47+LovCvgK4jNysUl9mASM2AkeMyMTngBQee2RXaV8z/tK3s3x48faP8FNCaZrPX9SGlXs0bBfLsFDTajJko4G6CNoVyOXlTBGcjqz/FTo4H2NJ/vKr5I/PRv5L9Dw8vpKdfnl8MNX8jsv2JPBptPhjc/F/U7Py9R8f3o1YF4kEkenBRHp8JKs2QLdUlIzw9xLwMkV7NTIIILWBLW1hSOKNAsccagKqgYAAHQAdqfXqYTDU8HhoUIbRSX3HLWqyrVXOW7CiiiugzPxE/4OnfEPxXk/aD+HHhLU5L1fA6eEJbvSEMeLaXVGuZEujuH35FhFoMH7quMY3nP6pf8ABObWPibr/wCwl8J9X+MUNyniOfwPYHUReQCKU/ugI2dRjDGMITwDk8gHNcP/AMFIvgn8JvjnJ4K8O/F/wHYeIbGwXVb60tNQVikdwkUAWTCkZwGYYOQc8g1738Ff+SOeEuB/yLNh0H/TvHXy+XUHDiTGS5m9Iaeq/S2nqfqfEvGuDzjw3yjIqeGUJ4aVRynprd/Z6+9e877yinr06avw0/4OkfEfxYn/AGqPAfhPW5L1fBUHgo3Xh+Jo8Wz373Mq3jKf45Ai2gOeVBXpu5/cuvK/2o/hR+x/8UbLwvF+1zong+7gsfEcT+E/+EtvYoFOpMDsjhMjr5ruB/qvmD7RlTgY9HPcvnmeXSoRnyttO720fX+t7HD4V8XYfgjjOjmlbDOvGMZx5YpOS5otXjfqtn/dcj4Q+APj7wD8d/2XPAXhn9pr9qNvEl5q2h6ZLrvgzXfG9mba7ulKPFBNaJtLgSLGfJPBZQGU8ivp/wD4Jeafp3h3w98T/BngCyit/AekfEmaLwfBZ26JaQM9nbS6hDbFOGiS/e5HGQshkQY27V9H/bi8CeDviB+zNr3grxp4cttR0rVb7SrbUbGdSEnifU7UMhKkHBHoQao/sDeA/Bvww+BMvw++Hvhy20jRNJ8S6hBp2m2akRwR+bnAySTkkkkkkkkkkmvnstyyvl/EcYVK8qj9m3d9ua1t3p19Tmx/EGHxuQ4pRg4e2q3VNW9lC7UueOvx6ezXur3G/ed7Htdcj8ePCPwX8d/CDX/Cn7RNlotx4Ju7EjxFH4huFishArB90sjsoQKyqwbI2lQQQQK66vzj/wCDm3xJ8WNF/YW0TS/A8t7H4e1TxrbweMntEyjQLFJJAkzDlYzOiH0LqgPOAfqszxUcHl9StKPMop6d/Xy7+R5vA+R1eJOLsFltKt7GVWpFKezjbW8dve093Ve9bVH3n8HPB3wf8H/Crw/4Z+B2laND4Ps9KhTw4miOktobTbmNonUkSKwO7fk7s7sknNdQqqoCqoAHQAV+Lf8AwRq+POsQ/sit4e+J/wC1/qvhe10bxJcWnhfR28a2lisVjsjkO2OUFyvnyTYJ46gcCv1a/Zp8Wax4z8OXevXGunVNOuWjl07UROJUnDqSWjcfKyEbSCvHPFeHlXE+FzHEU8NClKLa8uVWV9PLotF0OvjXhbE8NcQY3CVa6qulUkue7vLXd3+1r7yu7O+r3PS6KKK+qPigr+dv9jjx1+1Lqf8AwXi0jxHr6atL45vPitd2vi2K4tAZY7DfJFeIyHhIo7QOBjhERdvQV/RJXx54S+Cfwl03/govcfHex8A6fH4x1HxteWF74hCMbiW2XQXAj5O0DCIMgAnaMmvmOI6Dq1sHJSa/exWnn1+VvxP1Pw341wfCeAzihXwyqvFYeUIt2916qzv9h815Jatxjp1X2HRRRX05+WBX8/f/AAcQeLvjo/8AwU/FhqM2qJZaLoukv8OI1gO0I0aSPJAAP3jG9EylsElowvRVFf0CV8cf8FFPgn8Jvif8XdL8Y/EHwFYavqfhTwa934cvLxWZrCc3RPmIAQpOUQ/MDgqCK+Z4tourk7ala0ov11t+t/kfqHhHxjg+COLHmGJw/toypVIW0um0mmr6a8vK/wC7KW+z+qPhVeeL9Q+F/hvUPiDbtDr8+gWcmuRPGEKXjQIZlKjhSJCwwOBW/RRX0sVyxSPzOrNVasppJXbdlsr9F5I/nx/4L+/En9oDQP8Agqvdarda5q2nDwtYaPcfDS5jzF9mhEUc3n25HU/bftGX67o9p4QAfop8M/il4P8AGcXhqDxL+1bL4r11rWCUaDf+N7O7H29rfEhSCLBLrulAAzgE8V9f/Ej9mL4AfGD4j+Fvi78TfhRpGteJfBU5m8LaxewFptPkLK+5CDg4ZVYbgdrDIwea7dbW1Rt6W0YI6EIK+LxHCmLxGJrz+tOMajbsru6fR6pabLfQ/VuKPEfLs+4ayfLaWCUJ4Km4Slp7z91XjZXs+XnlfXnk+13zfwW8JHwP8LdG8MsZd0FsXYT43hpHaQg4AxguRj2rqKKK+woUlQoxpr7KS+5WPyecnObl3Plf9tjxRrOl/tTfCzRvEOuT2PhaXw/r1zZLI6x2lzrifZVjSRyRmRbOS+ZE7jzWAOwlfnn9l/8AaQ8NzeCpdX1f9t69tLe08Y6wmg6dceN7C2hOmRajMtovk4z5RiVQMnLJg55zX358df2fPgv+014Bk+F3x6+Hen+J9AkuorltN1JGKCaMkpIpUhlYZIyCOGI6Eg9Jo3hrw94d0e08P6DolrZ2NhbR21laW8CpHBCihUjVQMKqqAAB0Ar5fHcOYvF5nUxNPEumpJbXvorW3WnX1Z9d/b+VLh+jhfq960dG2o8tk5yTT1blLnSkmlZQWsua0OY+Auq69rHgb7brlzLOGun+yTzMWaSLAOcnqM5wa7WgAAYAor6PA4aWDwkKMpOTirXfU+Ur1FWrSmla/Q+Ov+C83iT4seGP+CZPjy7+Est7FJcPZ2viCbT48yJpUs6pc5I5VGUhHI/gds8Emvzi/wCCGXxr1/Qfhv438EeNP2otT8GeGrDU7Sfw/p0fiy20+NrmZZftTIswLNxHATj5QTnqxz+6nijwx4e8a+GtQ8HeLdHt9R0rVrKWz1Kwu4w8VzBKhSSN1PVWViCPQ1z3wW+AXwa/Z1+H1r8Kvgl8O9N8O+H7KWWS20ywiOxXkcu7EsSzEsTyST0HQAV4WbZDisxzGOIpV3TSjbS99+lmtH116H6dk/iDl2W+GWK4YqYNTq1a0aiqO1kly3vu+ZcvKunLOW1ve8l/Y/0Tw34g8RQfEHwn4l/tjT7TSLy3h1a3vkuoryS4uIpJZGmTIkkLwsSQfvM2R0x9E0iIka7I0CgdgMUterlOXf2Xg1Q5+d3bu9L3d/P8z82xeJ+tVvaWttp6BXL+CfhdpXgjXtR1yyu3la+YiONkAECFtxUHvz39APcnqKK6quFw9erCpON5Qu4vtdWZjCrUhCUYvR7hRRRXQZhRRRQB5R+1H4bfXLTR54tJM0iNcW8dxGjM8ZmVF2jHHzbR1HVRXongvQU8K+DtJ8Lxu7LpumQWqtIQWIjjVMnHGeO1adFefQwCoZhWxXNd1FFW7cqt+J0VMQ54eFK3w3/EK/Db/g6M8UfF0ftWeAfDOp3V/F4NtfBn2zw4oUrA2otcyrdurD70ioloD3UFcY3c/uTXCfHH9mP4A/tLW+i2nx5+FOkeKY/DuqLqOipqsBcWtyBjeuCMgjGVOVbAyDgVjneXVM0y+WHhLlbaflo+v9bn3Xhfxlg+A+MKWb4qh7WEYzi0rcy5otXjfS/R/wB1s+Df2WfjrZfEX4A/D+9+OH7Yl3q/iPUdG0+41fw/q/jmzKzX3yOiPbrh94kEbBM53AZ5yK+8/wBnbwk3hP4chZBMH1HUbm/dJhgqZXzgDA4wARn1rtvslqG3C2jznrsFSVw5VkNbL8Y8RVxDqPl5dVsrp7tvsfMZvm9PM6tSdOjGkpzcuWOyu3olZaK9l5IK5/4qfCv4d/G74fap8Kviz4Rs9e8O61biHVNJv0LRXCBgwBwQQQyqwIIIKgggiugor6OUYzi4yV0zyKNarh6satKTjKLTTTs01qmmtU09U1sYPw6+F/w9+EvgbSvhp8NvCFjo+g6JZJaaVplnCBHbwqOFGck+pJJJJJJJJNbqqqgKqgAdABS0URjGKSSskKrVqV6kqlSTlKTbbbu23q2292+rCiiimQFeL6X8PzdftOnWzpklsLDU5tUZoVOyZns3tQzE5zlZO2OU9iK9oorz8dgFjp0ZOVvZzU/W19DooYh0FNJX5k194UUUV6BzhXi37THw8Hjnxdp2mDTJAdV046e17bqfM2GQllycqNoO4ZHck8CvaaK8/M8AsywjoOXKrp39GmdGFxDw1X2iV9/xQUUUV6BzhRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAV4/wDtm/t1fs5fsEfD7T/iT+0d4ovrGx1bVDYaZa6Ro1xqF3cyrDJPKyQW6NIUighlmkfG1EjZiRXsFfA//Bbjw58S9A8RfBv9o/wf8FvFfj3SPB6+NdG1zQ/BeiSalfJNrfhm70+ym+zx5YxfaSkTv0jWfceAaAPunwr4o8PeOPC+m+NfCOsQajpOsWEN7peoWr7orm3lQSRyoe6sjKwPoav15F/wT/8AhN4z+A37C3wc+CfxFj2a/wCE/hhoWk63FvDeVd29hDFLHkcEK6sue+2vXaACuZ+M3xe8DfAL4Va/8Z/iXf3FtoPhvTZL7U5rSxluZREgyRHFErPI5OAqqCSSAK6auQ+P3xA0r4V/BPxT8Q9b0TWtStdJ0S4nnsPDmjTajfTgIRtgtoFaSZznhFBJoAi/Z2+Pnw5/ak+B3hf9of4RX11c+GfF+kRalok97ZvbyvBJ90vG/wAyHjoea7SvkX/ghTr2pXv/AAS1+FHg3xB8PvFvhjWPB/h+PQdc0nxl4XutJuku4FVnKRXKI0kX7wbZQNrEMAcg4+uqACkkkSKNpZGAVQSxPYUtJI4jjaRgSFBJAGSaAPEv2Sv+ChX7Mf7a/iPxb4O+BniLWH1bwVLbf23pfiDw3eaXcfZ7kOba8ijuo0aa2mEchjmUFW2nHbPt1fAX/BIf4s6h+09+1B8e/wBrD4r/AAg+I3g7xz4qvLHS9M0Hxj8PdQ0i00jwrp0tzDptvFc3MSR3dzM0lxdz+WSENwiDhMn79oAKKKKAPEbr/goV+zRp/wC2PZfsLalrOu2vjvU4pjpbXXhe8j0u+nhtVvJbSG/aMW8twluyytErllU84PFe3V+e3xn07xT8Tf8Aguj8HfFPwu+D/wAXI73wDb61ZfEPWvEulXH/AAhkehTaQ5gu9NlkLW4vZLuWGEvBtmKxyJINqiv0JoAKKKKAPLP2sP2y/gF+xV4T8O+Mv2gPFUumWnivxjYeF9BS2s3uJbvUrxysMSogJx8rMzdFVSTXqdfl9/wcH/BL9tj4k+JvAXxA+Bf7Ly/E3wp4Tl0ZrOG08TC1utK1yTxPpcr3H2VYJZLhWtrRLczDattFc3MrblVlr9O9OmvbjT4J9Rs1t7h4Vae3WXeInIBZQ2BuwcjOBnFAE1FFFAHmn7WH7V3wr/Y0+FA+MXxetteuNNk1qy0m1svDGgT6pf3d5dzCGCGG2t1aSV3dgoCgnmup+EnxL0f4yfDTRPin4f0TW9Nstd09Lu2sPEmjTadfwIw4Se2nVZIHHdHAIrwr/grD4Q+EPjL9lD7J8cfB3xd1jw/Y+K9M1GQ/A+1uJfENjcW8plt7qEW379VSZY8vD86kqeFDEan/AASmX9pNP+Cd/wAJ1/a8bWT8Qv8AhGF/t4+JGzqW3zpPs32s9ftP2byPNzz5m/POaAPoOiiigCtrOsaV4e0i78Qa7qENpY2NtJcXl3cSBY4YkUs7sx4ChQST2Ary79kH9tj4D/tyeBL74k/s/wB/rdzpFlfi3W51vw1d6b9rRo1kiurcXMaGe2lRg0cyZRxnB4Iq7+2t8NfF/wAZ/wBjf4s/B/4fEf294q+Gmu6RomX2g3dzp88MIyenzuvNfH//AAb0eGv2h/CPwW8b+HvibpvxZsfBdjceHrTwVp3xlWddUtb6LQ7WPW44FuP3iWC6grrAo/dBVby/kxQB+htFFFABXz58I/8Agpd+zz8ZP2stU/Ys0Tw18QdI8caZY6jfeV4p+H2oaZZ3trZXKW09xbXNxGsdxF5kiBZIyVcMCCcivoOvlD9nPwP4z+I3/BVD4+ftN+NPCeqWGk+E/C/h/wCG/wAP7rUtPlgS9gVH1bVLm3MigSxNc3dvD5iZUtZkZypoA+r6KKKACvAvjV/wUw/ZI/Z+/ah8M/sg/Evxnqdt4x8UPp6Wq2vh+6uLGye/nkt7BLu7jQxWrXM0UkcQkYF2UgV77X5Qf8FI/g38cfFX/BZr4f8Ajfw78CfHWrzR6h8O28A6zoGhSTeGZbW01q/m199dlUeV5ttayxy2hnO6N33Q/MTQB+r9FFFAH//Z", "info": {"equation": "323/19=17", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "323/19=17", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "99a9daf7b0369674e087c4a3c219f24d5f3a5f1339f7c6474a19091b0a2f30a1"} +{"episode": 987, "episode_seed": 489209751, "split": "train", "timestamp": "2025-10-28T03:42:52.140863", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 489209751, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [1, 7, 0, 4])", "action": "('move', [1, 7, 0, 4])", "reward": 0.0, "image": 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", 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", "info": {"equation": "6-4=2", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "6-4=2", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "e107032c818aa0742a7e5aaa030f1821a3a93d61baa4b6bdd3118c7a36071eee"} +{"episode": 988, "episode_seed": 1165709747, "split": "train", "timestamp": "2025-10-28T03:42:52.187924", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1165709747, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 5, 2, 8])", "action": "('move', [6, 5, 2, 8])", "reward": 0.0, "image": 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", 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", 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xL1j/AIJg/DuT4mQ3CvbpeW+htcwCNn0xLmRbYgDGV2DCseqhTyME/YNeZ/sc6NpXh39mnwp4e0HTobOxsLKW2srS3QLHBDHPIqIoHRVUAAegr0yuzLI8mXUY3vaMfyR4fE2ZU854jxmPhTVONWrOaitoqUm7fK5+Rv8AwdUeI/ixa+D/AIT+FtPlvU8EXl/qM+qiKP8A0eXU41iFsJGH8Qie4KqeuXIzjin/AME8vij4b8ef8E//AAt4G/aH/ayurS1n0u50q68J3nju0sYH0lJXhhtniBWRYmgUIQWDMh5PNfoB/wAFDfhJ8Nvjf8NPCvw8+LPg+113RLrxvFJcadeFwjsmn3zIcoynhgDwaZ4f8LeG4v8Agm1eeGIdCtU05PhdqFolkkIWNYBaTIIwB0UJ8uB2r4/Mcrr4zPq/JXlD3FLTqtuXdaaX+Z+jT4+wM/DPLsgjhUqtCvKbqq19XJpx683v2eq+CNn/AC+f/wDBOPw54W8BftA/FvwJ8GNEstO8ERafoV5d2GjWcUdhba/IlylysZjGBI1pFp7yRj7uUbA38/YNfOn/AATv+EHww+Bnh3xl8PfhD4JsvD+iw6/bzx6fYK2zzZLKEu5LEszHA5JPAA6ACvouvoeGYOGR0Fe+l/vbf4H5/wAV46nmGe1a1O7VoxvL4pcsIx5pWbtKVrtXla9uaW7K+cv23PFNl8Pbe68W6HZ/atXGmolrYIqf6VeySCG0i+ZlBZ5XRMEjjHNfQuq6nZ6Lps+rahLsgtomklb0UDJ+pr5gbwnf/tL/ALQU5u4ZV07wxYNrjFnVVbUJfMt9OiOUO4RxpcyNgghhCec8cPFT+tUKeBprmqTd0uyim2/nt82ceUr2VSVeTtGKt83/AFc9k/ZNsPB2nfs2eC4/AlyZ9Pl0GG4+0yRqktxcSjzLiWVUZgszzNK0gBOHZhk16HXiP7HI1bwwPE/w8uwv9nJrEmq6IodQbdbk77qAoEUjF15soJLZFxjI24r26vaynF0sbl1OrT0TS07NaNfJnFi6MqGJlCXcKKKK9E5j+dv9u3x1+1K//BdLUNWtk1WTxlpHxQ0+18CWptAzCySaP7AkUZ+Vo3iZW9G8x2blmr+iSvjr4+fBP4S+Iv28NO+Nuu+AbC78WaHrHhW00fXZlYzWkL3g3KnO0Z8x+cZ+Y4NfYtfMcPUHRxWMvJv9519L/fr+B+p+I/GuD4ty3J6FDDKi8Lh1Tk1b3notLfYXLeKeqcperKKKK+nPyw/ET/g6d8Q/FeT9oP4ceEtTkvV8Dp4Qlu9IQx4tpdUa5kS6O4ffkWEWgwfuq4xjec/ql/wTm1j4m6/+wl8J9X+MUNyniOfwPYHUReQCKU/ugI2dRjDGMITwDk8gHNcP/wAFIvgn8JvjnJ4K8O/F/wAB2HiGxsF1W+tLTUFYpHcJFAFkwpGcBmGDkHPINe9/BX/kjnhLgf8AIs2HQf8ATvHXy+XUHDiTGS5m9Iaeq/S2nqfqfEvGuDzjw3yjIqeGUJ4aVRynprd/Z6+9e877yinr06avK/2o/hR+x/8AFGy8Lxftc6J4Pu4LHxHE/hP/AIS29igU6kwOyOEyOvmu4H+q+YPtGVOBj1Svw2/4OjPFHxdH7VngHwzqd1fxeDbXwZ9s8OKFKwNqLXMq3bqw+9IqJaA91BXGN3Po55j4Zdl0q0oc6ulZ7avr/W9jh8K+FMRxnxnRy6jinhpOM5e0jfmXLF6Rs1dvZ6r3eZ9LH7i/ZLUNuFtHnPXYKkr83v2O/wBpa+1z4J/D7xL8Tv219Qu/F2oeH7RtW0bUfHdkfNupY9vlvAAH3HcPlzu3Y719/wDwnu9cvfAOn3PiFpGuWRvnmzvZNx2ls8524+tcuVcRYbN8S6NKnJWV7u3dK2jfc+UzfJa2T16lKpOMuSbheLunZtXXk7aHRV+cf/Bzb4k+LGi/sLaJpfgeW9j8Pap41t4PGT2iZRoFikkgSZhysZnRD6F1QHnAP6OVyPx48I/Bfx38INf8KftE2Wi3Hgm7sSPEUfiG4WKyECsH3SyOyhArKrBsjaVBBBAr08zwssbl9ShGXK5Jq/8An5d/I9DgfPaXDPF2CzSrR9rGjUjJw3b6e7/eV7x/vJH5B/8ABHb436jc/sdT+EPiz+19q/hix0zxBdWHhvRh45ttPEWnmON2CK/7wL50k+GyMchcBRj7C/YO8FfCv4XftoN4X/Zj0TS7DwzqPwjFz4wt/DkUT2bSxXkC6PPLKhJ86SGTUdrE5lRC5LY3V9c/Cvwh8IfBvwc0Xw58DdL0aDwhZaLGvhtNEdJbT7JszG0TqWEisDu35O7O7JzmvnD/AIJf/BH4SfBK+1m0+E3gGw0GPW/B2h6hq4sVbN1cs10DI5Ykk+g6DJwBk18bQybEZdm+CVTEOd+a29lyx2Wr0e3TQ+tz3jLC51jc5xsKMqSxEtKStytyk1zVNV78PjVoy/eO9421+vq8c/4KDa5498N/sXfETW/hreajbarB4ecm70eHzLu2tS6C6mhH/PRLYzOpGSCoI5Ar2OqPiYkeG9QK9fsMuP8Avg193XputQlTTtdNXXS63PzXLsVHA5hRxMoKahOMnF7S5WnZ76O1noz5R/ZD8ZLqP7Yc3hb4Y+IxqHhKL4QQz6wmnvHPaW8326P+yW85SSHlt5L9lXOHjRX6YJ/Jf9jjx1+1Lqf/AAXi0jxHr6atL45vPitd2vi2K4tAZY7DfJFeIyHhIo7QOBjhERdvQV+t/wDwTA+CHwj+BY8QaL8IPAGn+H7XVPC3h+/1GKwVv9IuW+2hpGLEknAAxnA7AZNUfCXwT+Eum/8ABRe4+O9j4B0+PxjqPja8sL3xCEY3EtsuguBHydoGEQZABO0ZNfnWHwspZRl0ud/xfzk/yt+LP2fh3jvJeGK2c4anhPawr4X2UZSUVK9ndzSbXLJz1SbdoQWu6+w6KKK/Sj8LP5p/2ffi58f9K/4K1/8ACbfFD4i6r4Y8W6h4+vrTxvq9xdxWU9pCzul1GzyjZCqxqUA6KFUL0Wv0i+Ptj+zH8QvAPir4q+I/jRb+NPFPh3wtI+g+JLnxTb6lqegzRv5to9j5Z/cTG88nYVXfLII4yWBCV7h8PPgf8I9J/wCCgt18b9P+H+nxeLtY8aarZalr2xjPPbrpcoWM5JUDEafdAJ2jOaZ/wUR+Bvwg+JXxc0vxf49+HunarqfhTwc954du7uNibCc3RPmIAQpOUQjcDgqCMV+S1cprrLq9b28uWNVx5dbN8yXNvvrfbpuf0BxN4kZbxJxVl+No4Z4ZUqEIv2duZuKcnBapcl/cV3pHVxfwH1T8JbzxjqPwq8M6h8RbZofEE/h+yk12FowhjvGgQzKVHCkSFhgcCugoor9ZiuWKR+B1qiq1ZTSSu27LZX6LyQV59+0jpA1PwRaXB0wXBsdVjuFfaSYDskTeMezleeMMa9Borlx+E+vYKph+bl5k1fsVh6vsK0alr2dzl/gt4SPgf4W6N4ZYy7oLYuwnxvDSO0hBwBjBcjHtXUUUVtQpKhRjTX2Ul9ysZzk5zcu58r/tseKNZ0v9qb4WaN4h1yex8LS+H9eubJZHWO0udcT7KsaSOSMyLZyXzInceawB2Er83/s9fHfwN4q+GGo2njT9tC6XSZPFGuWmm6LeeN7C2t5tHW/njt4zCAD5TQAAcgshBzzmv0G+Ov7PnwX/AGmvAMnwu+PXw70/xPoEl1FctpupIxQTRklJFKkMrDJGQRwxHQkHpNG8NeHvDuj2nh/QdEtbOxsLaO2srS3gVI4IUUKkaqBhVVQAAOgFfLY/hvF4zMqmJhiXBSSVle+itbdadfmz6/8At/Ko5BRwqw960XZtqPLZOck09W5S50pJpWUE05c1oeffsweFxpWgav4oDSf8TzUI5l3Y2FY4I4gyccg7evPtXp9AAAwBRX0WX4NYDBU8OnflVr9z5TEVniK8qlrXKmvaNaeIdFutDvs+VdQNG5XqMjqPcdazvh94HtPAHh8aHbXbXDNK0s07Jt3scDpzgYAH4VuUVpLC4eWJWIcffSaT8mSqtRU3TT0etjmPB/wu0rwd4l1HxJZ3jyNfEiOJkAEKltzKD3+b9APrXT0UUYbC4fB0vZ0Y8sbt2827sKtWpWlzTd2FFFFdBmeLfEb4fHxH+0Hp0o0ySISXmm3sl1Ap/eizlWZSxORgMu04xww7kGvaaKK8/A4BYKpWmpX9pJy9LpaHRXxDrxgrW5VYKKKK9A5zyj9qPw2+uWmjzxaSZpEa4t47iNGZ4zMqLtGOPm2jqOqivRPBegp4V8HaT4Xjd2XTdMgtVaQgsRHGqZOOM8dq06K8+hgFQzCtiua7qKKt25Vb8ToqYhzw8KVvhv8AiFcJ8cf2Y/gD+0tb6LafHn4U6R4pj8O6ouo6KmqwFxa3IGN64IyCMZU5VsDIOBXd0V2zhCpFxmk12eosLisVgq6r4eo4TW0otxa6aNWa00I/slqG3C2jznrsFSUUVZgFfnH/AMHNviT4saL+wtoml+B5b2Pw9qnjW3g8ZPaJlGgWKSSBJmHKxmdEPoXVAecA/o5XP/FT4V/Dv43fD7VPhV8WfCNnr3h3WrcQ6ppN+haK4QMGAOCCCGVWBBBBUEEEVw5lhJ47AVKEZcrkrX/rp0fkfUcFZ/h+FuLMHm1el7WFGak46apdVfTmW8b/AGkj8ef+CNnx41dP2Q38N/FH9r/VfC9ro/iO4s/DGjt41tLFYrDy45DsjlBfb58k2CeOoHAFfpz+yB4X0SOK98c+G7hZdNutHsbDTJbaVZLeW3iMro0bjO8YlHzAkEYr0/4dfC/4e/CXwNpXw0+G3hCx0fQdEsktNK0yzhAjt4VHCjOSfUkkkkkkkkmt1VVQFVQAOgArwcs4ar4LF0q9XEOfInaNnZXVtLt6fLojt4y4qw3E2e43HYfDqlGvUcrK17XvrZfE95ebYteOf8FBtc8e+G/2LviJrfw1vNRttVg8POTd6PD5l3bWpdBdTQj/AJ6JbGZ1IyQVBHIFex0kkccsbRSoGVgQysMgg9jX09em61CVNO101ftdbny+XYqGAzCjiZQU1TnGTi9pKLTs99Haz0Z+a+tfG/wZ4d/ag0nwj4R/ajfwr4dk+Foub9dI8VWdrbykXcX9mN5sm4uWglvGVQcFNr9CCfoX9law8KeP/HWl+LfCPxAPiiHSdRub2912LVor43Fy1rJbkTTR5UsEmX5RggKvYHPs/wACP2Xv2fP2Y/D1/wCFPgF8JdH8LadqepPqF/a6Xb7VmuGVVLncSfuqoCj5VA4Aru44o4htijVR6KMV8fgOFMThp0ZVcS2oSUuVJ8t076Xf427nvZ1neW4iq4YGk1Dl5VKSSnLvKSjdXu7Jczskld2HUUUV9qfKH5VXHxv1bQPhD8L9Y8UfHS/8OePdV+LUkPjO7l1K2tL2C8M92NZgm83It44Y3dRgDYotwPvru958ATeBPjVrV14W0D49TeOdS1C2S1uJm8UW+o3NnbF8HaIhiNMsSSwxnvX0/wCHv2Xf2e/Cnxw1r9pPw78JNGtPHXiKyW01rxNFb/6TdwgRjaxzgZ8mLJABbYuScV3UdvBEd0UKKfVVAr4WnwfirONTFPlcr2Sdnre713fo9e59vnnEuV42uqmCw/LfmbbUU1KbbcY8t/ch8Mdm1d2jflT6KKK+6PiAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK8f/bN/bq/Zy/YI+H2n/En9o7xRfWNjq2qGw0y10jRrjULu5lWGSeVkgt0aQpFBDLNI+NqJGzEivYK+B/8Agtx4c+JegeIvg3+0f4P+C3ivx7pHg9fGuja5ofgvRJNSvkm1vwzd6fZTfZ48sYvtJSJ36RrPuPANAH3T4V8UeHvHHhfTfGvhHWINR0nWLCG90vULV90VzbyoJI5UPdWRlYH0NX68i/4J/wDwm8Z/Ab9hb4OfBP4ix7Nf8J/DDQtJ1uLeG8q7t7CGKWPI4IV1Zc99teu0AFcz8Zvi94G+AXwq1/4z/Eu/uLbQfDemyX2pzWljLcyiJBkiOKJWeRycBVUEkkAV01ch8fviBpXwr+Cfin4h63omtala6TolxPPYeHNGm1G+nAQjbBbQK0kznPCKCTQBF+zt8fPhz+1J8DvC/wC0P8Ir66ufDPi/SItS0Se9s3t5Xgk+6Xjf5kPHQ812lfIv/BCnXtSvf+CWvwo8G+IPh94t8Max4P8AD8eg65pPjLwvdaTdJdwKrOUiuURpIv3g2ygbWIYA5Bx9dUAFJJIkUbSyMAqgliewpaSRxHG0jAkKCSAMk0AeJfslf8FCv2Y/21/Efi3wd8DPEWsPq3gqW2/tvS/EHhu80u4+z3Ic215FHdRo01tMI5DHMoKttOO2fbq+Av8AgkP8WdQ/ae/ag+Pf7WHxX+EHxG8HeOfFV5Y6Xpmg+Mfh7qGkWmkeFdOluYdNt4rm5iSO7uZmkuLufyyQhuEQcJk/ftABRRRQB4jdf8FCv2aNP/bHsv2FtS1nXbXx3qcUx0trrwveR6XfTw2q3ktpDftGLeW4S3ZZWiVyyqecHivbq/Pb4z6d4p+Jv/BdH4O+Kfhd8H/i5He+AbfWrL4h614l0q4/4QyPQptIcwXemyyFrcXsl3LDCXg2zFY5EkG1RX6E0AFFFFAHln7WH7ZfwC/Yq8J+HfGX7QHiqXTLTxX4xsPC+gpbWb3Et3qV45WGJUQE4+VmZuiqpJr1Ovy+/wCDg/4JftsfEnxN4C+IHwL/AGXl+JvhTwnLozWcNp4mFrdaVrknifS5XuPsqwSyXCtbWiW5mG1baK5uZW3KrLX6d6dNe3GnwT6jZrb3Dwq09usu8ROQCyhsDdg5GcDOKAJqKKKAPNP2sP2rvhX+xp8KB8Yvi9ba9cabJrVlpNrZeGNAn1S/u7y7mEMEMNtbq0kru7BQFBPNdT8JPiXo/wAZPhponxT8P6Jrem2Wu6el3bWHiTRptOv4EYcJPbTqskDjujgEV4V/wVh8IfCHxl+yh9k+OPg74u6x4fsfFemajIfgfa3EviGxuLeUy291CLb9+qpMseXh+dSVPChiNT/glMv7Saf8E7/hOv7XjayfiF/wjC/28fEjZ1Lb50n2b7Wev2n7N5Hm558zfnnNAH0HRRRQBW1nWNK8PaRd+INd1CG0sbG2kuLy7uJAscMSKWd2Y8BQoJJ7AV5d+yD+2x8B/wBuTwJffEn9n+/1u50iyvxbrc634au9N+1o0ayRXVuLmNDPbSowaOZMo4zg8EVd/bW+Gvi/4z/sb/Fn4P8Aw+I/t7xV8NNd0jRMvtBu7nT54YRk9Pndea+P/wDg3o8NftD+Efgt438PfE3TfizY+C7G48PWngrTvjKs66pa30Wh2setxwLcfvEsF1BXWBR+6Cq3l/JigD9DaKKKACvnz4R/8FLv2efjJ+1lqn7FmieGviDpHjjTLHUb7yvFPw+1DTLO9tbK5S2nuLa5uI1juIvMkQLJGSrhgQTkV9B18ofs5+B/GfxG/wCCqHx8/ab8aeE9UsNJ8J+F/D/w3+H91qWnywJewKj6tqlzbmRQJYmubu3h8xMqWsyM5U0AfV9FFFABXgXxq/4KYfskfs/ftQ+Gf2QfiX4z1O28Y+KH09LVbXw/dXFjZPfzyW9gl3dxoYrVrmaKSOISMC7KQK99r8oP+Ckfwb+OPir/AILNfD/xv4d+BPjrV5o9Q+HbeAdZ0DQpJvDMtraa1fza++uyqPK822tZY5bQzndG77ofmJoA/V+iiigD/9k=", "info": {"equation": "18*17=306", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "18*17=306", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "ceb370c2767c879d4b6bfa1419a58b7c3ad8056fa10e5f533cda769f41d082a0"} +{"episode": 989, "episode_seed": 1088248927, "split": "train", "timestamp": "2025-10-28T03:42:52.229912", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1088248927, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 0, 4, 4])", "action": "('move', [3, 0, 4, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "26-16=10", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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"info": {"equation": "26-16=10", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "d19ea6d2bc32504e0624eb8b9f9b151a23ac739885d73c479af7080501894c6e"} +{"episode": 990, "episode_seed": 3957482227, "split": "train", "timestamp": "2025-10-28T03:42:52.272067", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3957482227, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 1, 2, 7])", "action": "('move', [6, 1, 2, 7])", "reward": 0.0, "image": 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", "info": {"equation": "16+44=60", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "16+44=60", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "3145e3995476709a45377ad59be38e315295310dd561a8fa4bad7be41ffeb46e"} +{"episode": 991, "episode_seed": 2916178397, "split": "train", "timestamp": "2025-10-28T03:42:52.309510", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2916178397, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 8, 0, 0])", "action": "('move', [2, 8, 0, 0])", "reward": 0.0, "image": 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", 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", "info": {"equation": "78/13=6", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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/au7JxT0bilzq8d2r2XPf8EiRHpnw8+I/g34fs7/C/Q/iPdW3wwkjRTai0aGKW9itJVz59umoPdoj5YcEBjjj65rxj9gXwr4b8C/s3Wngvwbodtpmk6V4l12103T7OPZFbwpqt0FRR2AH4nqck17PX6RktN08ooRbv7kfxV/w2R+O8S4+GaZ7XxMI2Updd3ZJc0n1nO3NN9ZNsKKK4j41fEOHwpob6DYyN/aOoQlYdoH7tCcM5/UD3+ldOOxlHL8LKvVdlFff2S83seRQozxFVU4bs8R/aq+Ivifxt4osfh58M7kf254h1IaF4WYIjiGRlZ7m+KNIodIIY5pzg/MIkXqwB+hfhX8NPCnwc+HOi/C7wRYC30vQ9PjtbRABuYKPmkcj7zu252bqzMzHkmvDv2MfAUvjbxzrf7S2vWbLawfaPDvgaKUqdtpFMFvbwKYwyGe4hCL8xzFbRsMBzn6RrxuHMJVVGeOr/wASs+Z+Uei+79Ox25lVhzqhT+GGnz6sKKKK+kPNCiiigD+f7/g5Q8W/HHVP2/T4S+IEuop4P0rw9ZyeALeaLZatFLBGbuaLHDublZEdj82IkU8KtfqB/wAEJNe+MXiD/gmd4Cn+MkF2ststxbeHHvbYRPJo8b7bRgAAWTYMIxGWRVPIwTp/8FDv2fvgt+0N8WPhz4d+Nvw50/xJY6foeu3Nlbahv2xTG40pS42Mp+6SMHI56V7B+xha2th+yn4BsLG2jhgg8NW8cEMKBUjRVwqqo4AAAAA4AFfGZZhpUuLMW3NvRP8A8Cs7fLZH7XxZ4iZfnvhXlXD9LBqFTDv3p6W91SjeNtb1L81S9ve/mvdenUUUV9mfih/MZ/wVf+IH7Qupf8FJPiRrnxi1XWLTXtC8XzweGXm3QSWWlwzs2nNb7cbE8kxyqy/eZy+dzE1+oHwR+OWnfEz9mjwyP2gv259U/tvXvCUA8XadL8SLK0JlmhxNGyx7WiyGIIUqy54IIr7G+OnwN/YG8dftBeDvG37QfhvwDcfEm1aFfBb+INQhi1GcxzF4lhhaRTcbZSSo2vhiccmvSvivaWo+F/iVxax5GgXhz5Y/54PXwi4WxjxFacMW4qTb0vd9fe1WuvmfuvHXilgOJuG8owFLLvYyw0F7zSS0SjalZX5Lxu9veSXS7+C/gN4D+Evwi/by+Dtp+yJ4a0fS5da0HU7fxzZ+ErSF7efwslkZLa6uimdoF8tmsU5O6UySDc+Dt/ReviH/AIJzfs5fAv4BfGbR5/g18L9L8PSa58MLubV5bFHL3TrPpJUszsxwC7kAEAFicc19vV6HBtNwyVO97yk/TpZfdf5n53xtmdHMszpqnKU/Z01FznZTm+aU+aSUpbc3JH3pe7GOvRFc78W/C/wx8a/DDX/C3xp07SrvwleaTOniOHW2VbT7HsJlaVnICKqgsXJG3buyMZroq/OP/g5k8XfHLw3+xNoumfDafUYPC+reKFtvHs9hH8pt9m63imccpE8wGezMEUnkA+7mWKjgsBUryjzKK27/APA7+RzcE5DW4n4sweV0q3sZVZpKf8ttbrb3tPdV1eVldbn2h+yn8Mf2Ufhr8IYNA/Y/0jwpF4Mlvp7iF/Cd5Hd2k1yWCyuZkd/MfKhSSxICBeAoA9JjggiOYoUUnqVUCv58f+CGvxu8ceE/F3i/4d65+0fqngrwMNK/tAW8Xia30+CTVWlhjVlM4OXMKyZCdQi7ui1+qXwf+Mw8QXTeH/h1+0ddeNbyO4W4MQ8TwajNFnCAEQciM+jDGSa+Tw/GmCjh4x9hJPRWilb5fpp5H1PiJwHjeGOL8TgauL9u01L2km+d8yUvfvf3tddX362Pr+imQGZoEa4UCQoPMC9Acc4p9fcp3Vz8uCv5Svj38U/2mz+2Pr3xW+LGtavZfFTT/Gf2m6uryMR3NjqNvMPKVUOVQRGONUUfIFRQPlAr+rWvgL4+/s4/AvX/ANrTxj8f9c+F2l3XjPTviV4dhsPEM8bNPAiw6Kq7QW2ZCuwDbcjPBzivjuMsPKrh6ElJr30v/AuvqraerP2nwa8Qsv4CxWYPFYRV/bUrLa6cW/dd/wDl3Pm9+137sdGYl74/+D/xR+F0Hg744ftoTa1ZarpNunifQNS+JtmttdsURpoJhCUJjLhlZAwDLlTkEg9T+xpofhz4Zf8ABQa5+Hf7N2l22m+Fr34dTX3xN0Hw9axLpllqCz26aVO6x/Lb3UsJuwVG0yRQo5DYDV9Nftr+H9E1v9kf4jaLq2lQT2l54RvYLqB4xtkjeIqynHYqSPxryj/gnt8B/g5+z38U/Hng74J/DvTvDemXPh/Rbq5tdORsSzG51Rd7M7MzHaqgZPAHGK86nlWIwPEmFhUxEqjak7u97JPTd6PqfL4LiDDw4fxseWS504qkreyvOyc5a/FCycEoP3oxbkuWz+rKKKK/Qz8+CiiigD53sfhV/bPxuhsTpEtill4vfXZhbKQhkE0kxclgfld2JPqScYr6IoorysqyuOVwqRU3Lnk5a+fT/gnVi8U8VKLatZJBXh3/AAUm8SfFTwh+w98QvEXwZvNWtddttKhzeaDb+be2li11Ct9PAuCfNjszcSKQCylAQCQK9xo69a9CvSdahOmnbmTV1urq116GmV4yOXZnQxcqaqKnOMnF7S5ZJ8r30drPR6H5ifH34y+C/APiP4GaV8Hv2gY/DcN9rq2yXWia/aRiXwz9jkE8jTSFgkW6C3CyA/M6lQSeK9R8N/EX4Y+LvFOn2n/DUx8Z6jFJI2kaZqHja0vmjlMTq0kUUWGL+U0i55wrNx3H058Df2Mv2WP2afEGu+KvgP8AA3QPDGoeJXDa1daZalWuMOzhRkkRpudjsTavTj5Rj0pbW1RgyW0YI6EIK+Go8HY1Yb2UsW0ne8Um4/8ApSv56H02b8QZPUrU44Gg3GC+OajGcm23qo8yXLflXvO6V9L8q4z9njwS3gH4XW2jyCcPdahfahIlyAGRrq6luCuMDABkwAecYzk129FFfb4WgsLhoUU7qKS+5WPj6tR1aspvq2wrkfiN8ItL+IeoWupXGpy2skC+XKYow3mR5Jxz0IJODyOTwa66ipxeDw2OoOjXjzRfT09B0a1WhPnpuzI7O0gsLSKxtYwkUMaxxqOygYA/IVJRRXQkoqyMm23dhRRRTAKKKKAPIf2mNClutf0HxFHoglktLe4tre7RGZ1854WeLjjDGGIjuSvFdt8E/BKfDj4SeHvA0ckzDTNKihzcEb+BznAAzz6V1FFeVh8rjh80rY3nbdRJW7WXf5HVUxTqYWFG3w319Qooor1TlP5jP+Cr/wAQP2hdS/4KSfEjXPjFqusWmvaF4vng8MvNugkstLhnZtOa3242J5JjlVl+8zl87mJr9R/2fv2govGv7PPhHVPjl+3VqS+ItV8MW0nifT7n4hafCDPJEDLG8QA2ZyQV4IyRwa+3/ij+xp+y18avivoXxy+K3wP0HXfFvhryv7E1y/ti01t5UhljHBAcJISyhwwBJxjNekmztCcm1j/74FfDrhPHLE1akcW4KTvpe7/xarX7z9u468Vsp4s4ayvLaOXqnLCwtJvltdRUbU7JtQduZp2d7Lpd+DfsreDtJ1Hxhb/EzQZg+m2XhiTTtMltJFe1mhuJLWUFHGd+FtkwQcYbnOQa99pFVUG1VAA6AClr6XKMtWVYGOGUua19bW3d9tT8bxmJeLruo1a4VjfEL4e+Cfix4H1X4a/Ejwxaa1oOt2T2mq6Xfxb4rmFxhlYfqCMEEAgggGtmivSlFSTTV0zCnUqUaiqU21JO6a0aa2afRo4n4F/s4/A39mfwGvwx+BHwy0vwzoS3cl0dO06E7XnkxvkZmJZ2IVRkknCqOgAHZxwQRHMUKKT1KqBT6KUIQpwUYKyXRbF4nE4jGV5V8RNznJ3cpNttvq29W/NhRRRVGIV+T178aNS0T/gnr45+IfxT+Kt9pfxQF1qk3iW4vpoY9SsfFyXLtb2qwNkIUkgt0hiC4+zxIygqNx/WGvMtW/Yz/Za139oK2/aq1j4H6DcfEKzRFt/FMlsTcKViMSsRnazrGdocqWACgEbRj57iDJq+cQpKnU5OV3/4Pqraer1R9fwtneUZVGrDH0XNOUJrlUW26fP+7fNa0KnP7zV2uWL5JbHyFovxj+HniPwRp9h8Tf23JtSa70q3Gv6PqPxGsGt7iRolM0MiJjKFtwKgjjjNfVH7L/g022u698SXabOq2FlYx7gPLdIJLmTevGTk3JBOSPlHoa9e+xWf/PpF/wB+xUgAHAFc+A4brYTMIYqtiZVHFOya7q27kzx8XmkMRSnThSUFJ3023vtYKKKK+pPICiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooqDVbSXUNMubCG5aF54HjSZOsZZSAw9xnNAHzx+zv/wAFXf2Iv2pf2hNT/Zl+DfxOu77xLYLfNYyXWhXVtYa2tlN5N4dOu5UEN6IJDtk8pm28nkAmvo6vxU/4JW/s3/tM2H7RP7IX7PHjH9m/xx4UvP2SbL4kR/FDxdrfh+W20i/bVbmZbFdOvG+S/FwJVlbyydoB3dK/augAooooAK8N/bZ/4KJ/swf8E/NK8Oat+0l4i1eyTxVqf2HSI9H8PXN+xffFGXkMKMsMYeaFd7lQWkUDJOK9yr8+/wDg4/8AFurS/sGxfBTwf8I/H/i7xB4r8XaNeabbeB/A19rCww6dq1jdXJuHtY3Fv+6DFN+PMKsFzg4AP0DVgyhh0IyKWua+DvxN0X4zfC/Q/in4c0XW9Nsdd09Lq1sfEmizadfwI3RZ7adVkhfjlHAIrpaACiiigCh4q8T6H4J8L6l4z8T34tdM0iwmvdRumRmEMESGSR8KCThVJwATxwK8P/ZA/wCCmX7KX7b3jjxJ8MPgrr3iC28TeFbOC+1Xw74u8JX2jXv2Gc4hvI4byKNpIH4xIBj5l9Rn2rxz4pg8DeCdY8bXWkX+oRaPpVxfSWGlWjT3VysUbSGKGJeZJGC7VQcsxAHWvzl/4IzfFHWP2q/2y/ix+2t+0Z8G/ib4P+LPjPQE03R/DXij4ZanpOleFfCVldgWunpfXUKRXt7LJKLiUqe5CKFRqAP0vooooAKKKKAPnf8AbN/4Ki/smfsE69ZaH+0Xq3imzS4s4ry/1XRvBOoajYaPayz+RHPfXVvC0VojSAqvmMCdpwK+gdN1Kw1nTrfV9Lu0ntbqBJraeM5WSNgGVge4IINfmV/wcX2Fx8c/hdF+zf4H+BX7QevfEiKyt7/4ZS/D3Rbu48J6xfzX0GbbWNhNpKkP2VHKXqhVWUmMnc1fpJ8PYvE8HgDQ4PGtvaxaymj2y6vFZKBCl0Il81YwOAgfcBjtigDYooooAKCQoLMQAByTRXif/BRvwh+0t8Qv2I/iL8P/ANkKKF/iFr2gNp2h+dqiWJVZ5EiuGS4cFYJRbtMUkIO19pwcYoAX9jX/AIKC/sv/ALfMXje7/Zh8a3Gu2vw/8WTeHdfvX06SGFryMZJgdwBNGRyJF4III617XX5lf8G+vws/aS+Cfxb/AGmfAfxW/Yl/4VB4Xk8e6fL4etV8Rm+t42h0y2tRaWsn2aEXsKxRI5vE+VnZk27lJP6a0AFFFFABXzn8Sv8AgqB+zr8M/wBqqb9ji58IfErXfGVm+lDVT4S+G2parYaYuoki1kurq2iaK2RgHJeQgARuScKcfRlfkt/wVQ8AfELSv27X8f8A7CngT9pnS/2ide8X+EIIdb0G1u4/AGraLbBROb+WL/RJIY4JbpHW5PmLJnYNrZIB+tNFFFABRRRQByHx8+PXwl/Zg+Duv/Hz46+NLXw94T8MWBu9Z1a7yUhjyFAAUFnZmZUVVBZmYAAkiuf/AGUv2uPhN+2R8PJ/iR8JLPxLZ2tpfmzvLDxd4UvNGvoJPLSRS1vdxpJsaORHVwCrBgQa+d/+Dgn9nb4xftMf8Ey/E/gn4HaDrGra3pXiPQ9dk0jw6N2oXlpZahDPOtsv8c6xq0iJ/E0YABJAqj/wQ2t/2g4/h18WLn4iT/FhvhvP8Tpm+Cg+OD3TeJRo32aLzTcfbP8ASREbnzfLEvzYDY+XFAH3LRRRQB//2Q==", 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", 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", "info": {"equation": "78/13=6", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "ca02f4a944de305b330abc41ec6c4831189db1cb7274f44e6966e2ffaa506d11"} +{"episode": 992, "episode_seed": 2789783892, "split": "train", "timestamp": "2025-10-28T03:42:52.346587", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2789783892, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 7, 6, 6])", "action": "('move', [2, 7, 6, 6])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "21-13=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "21-13=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "d17f79e40023674df780776aad83a0e0d9708060e55507fdab8516163078c4c1"} +{"episode": 993, "episode_seed": 1030618900, "split": "train", "timestamp": "2025-10-28T03:42:52.384202", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1030618900, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 0, 0, 0])", "action": "('move', [3, 0, 0, 0])", "reward": 0.0, "image": 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", 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", 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N39yL181f8Nj8h4lx8Mzz2viYRspS67uyUeaVt5ztzTfWTbCiiuI+NXxDh8KaG+g2Mjf2jqEJWHaB+7QnDOf1A9/pXRjsZRy/Cyr1XZRX39kvN7HkUKM8RVVOG7PEf2qviL4n8beKLH4efDO5H9ueIdSGheFmCI4hkZWe5vijSKHSCGOac4PzCJF6sAfoX4V/DTwp8HPhzovwu8EWAt9L0PT47W0QAbmCj5pHI+87tudm6szMx5Jrw79jHwFL428c63+0tr1my2sH2jw74GilKnbaRTBb28CmMMhnuIQi/McxW0bDAc5+ka8bhzCVVRnjq/8AErPmflHovu/TsduZVYc6oU/hhp8+rCiiivpDzQooooA/n+/4OUPFvxx1T9v0+EviBLqKeD9K8PWcngC3mi2WrRSwRm7mixw7m5WRHY/NiJFPCrX6gf8ABCTXvjF4g/4JneAp/jJBdrLbLcW3hx722ETyaPG+20YAAFk2DCMRlkVTyME6f/BQ79n74LftDfFj4c+Hfjb8OdP8SWOn6HrtzZW2ob9sUxuNKUuNjKfukjByOelewfsYWtrYfsp+AbCxto4YIPDVvHBDCgVI0VcKqqOAAAAAOABXxmWYaVLizFtzb0T/APArO3y2R+18WeImX574V5Vw/SwahUw796elvdUo3jbW9S/NUvb3v5r3Xp1FFFfZn4ofzDf8FbfGXx38Tf8ABRf4nXPx1uNSTVdL8VXNnoMN9F5f2fSI5mOniFRwIzAY5AR94yM5yzE1+o3wQ+OWnfEv9mjwz/w0F+3Pqg1vXvCUA8XadL8SLK0JlmhxNGyx7WiyGIIUqy54IIr7G+OnwN/YG8dftBeDvG37QfhvwDcfEm1aFfBb+INQhi1GcxzF4lhhaRTcbZSSo2vhiccmvSvivaWo+F/iVxax5GgXhz5Y/wCeD18IuFcW8TWqQxbjzO+l7vr72q118z91468UsBxNw3lGApZd7GWGgveaSWiUf3Vlfkbjd7e8kul38I/APwl8M/g7+3J8IdA/ZA0fTdJi8QaPqCeP9K8IQxNZ3fhqGxd7O9vAhIBW9NskFwfnk+0TLucbsfojXxD/AME5v2cvgX8AvjNo8/wa+F+l+HpNc+GF3Nq8tijl7p1n0kqWZ2Y4BdyACACxOOa+3q9Dg2Dhkqd73lJ+nSy+6/qz8742zOjmWZ01TlKfs4KLnOynN80pc0rSltzckfel7sY69EVzvxb8L/DHxr8MNf8AC3xp07SrvwleaTOniOHW2VbT7HsJlaVnICKqgsXJG3buyMZroq/OP/g5k8XfHLw3+xNoumfDafUYPC+reKFtvHs9hH8pt9m63imccpE8wGezMEUnkA+7mWKjgsBUryjzKK27/wDA7+RzcE5DW4n4sweV0q3sZVZpKf8ALbW6297T3VdXlZXW59ofsp/DH9lH4a/CGDQP2P8ASPCkXgyW+nuIX8J3kd3aTXJYLK5mR38x8qFJLEgIF4CgD0mOCCI5ihRSepVQK/nx/wCCGvxu8ceE/F3i/wCHeuftH6p4K8DDSv7QFvF4mt9Pgk1VpYY1ZTODlzCsmQnUIu7otfql8H/jMPEF03h/4dftHXXjW8juFuDEPE8GozRZwgBEHIjPowxkmvk8Pxpgo4eMfYST0VopW+X6aeR9T4icB43hji/E4Gri/btNS9pJvnfMlL37397XXV9+tj6/opkBmaBGuFAkKDzAvQHHOKfX3Kd1c/Lgr+Ur49/FT9ptv2x9e+K3xX1rV7P4qaf4z+03VzeRiO5sdRt5h5SqhyqCIxxqij5AqKB8oFf1a14lr/wN/YH1L9sPTvif4j8N+AX+Nq2iy6c9zqEI1mSJIHRZltjJukKwq4EmwkKnBAQY+d4hyerm0KShV5OWXXrf9V09Xqfsng/4i4Lw+r5hPEYF4n21KyslePLd2lfalK/7x6/DF2Z8qXvj/wCD/wAUfhdB4O+OH7aE2tWWq6Tbp4n0DUvibZrbXbFEaaCYQlCYy4ZWQMAy5U5BIPU/saaH4c+GX/BQa5+Hf7N2l22m+Fr34dTX3xN0Hw9axLpllqCz26aVO6x/Lb3UsJuwVG0yRQo5DYDV9Nftr+H9E1v9kf4jaLq2lQT2l54RvYLqB4xtkjeIqynHYqSPxryj/gnt8B/g5+z38U/Hng74J/DvTvDemXPh/Rbq5tdORsSzG51Rd7M7MzHaqgZPAHGK+fp5ViMDxJhYVMRKo2pO7veyT03ej6nzmC4gw8OH8bHlkudOKpK3srzsnOWvxQsnBKD96MW5Lls/qyiiiv0M/PgooooA+d7H4Vf2z8bobE6RLYpZeL312YWykIZBNJMXJYH5XdiT6knGK+iKKK8rKsrjlcKkVNy55OWvn0/4J1YvFPFSi2rWSQV4H/wVF8VfG/wR+wB8UfFX7Ob6gni+y8O79Om0mHfcwQmaMXUsQ6h0tjO4YfMpXcvIFe+UdetehXpOtQlTTtzJq63V1uvQ2ynHQyzNaGMlTVRUpxm4S+GSjJPll5StZ+TP5gv+CV3xb+I/w0/bJ8OReEPi9qPhHTdela08XajaavHaLJp4BlfzJJvkGGRSCfmzwOTg/sn4b+Ivwx8XeKdPtP8AhqY+M9RikkbSNM1DxtaXzRymJ1aSKKLDF/KaRc84Vm47j6d+B37Gf7LP7NXiHXvFfwI+Bug+GNQ8TSBtbutMtSrXGHZwo3EiNNzsdibV6cfKMekra2qMGS2jBHQhBXw1Hg3Gxw3spYtpO94pNx/9KXz0P1TxQ8Tcs464ljmOEwXs4xhGF5cvPJq7bdk1pfljq9Enpey4z9njwS3gH4XW2jyCcPdahfahIlyAGRrq6luCuMDABkwAecYzk129FFfb4WgsLhoUU7qKS+5WPx+rUdWrKb6tsK5H4jfCLS/iHqFrqVxqctrJAvlymKMN5keScc9CCTg8jk8GuuoqcXg8NjqDo1480X09PQdGtVoT56bsyOztILC0isbWMJFDGscajsoGAPyFSUUV0JKKsjJtt3YUUUUwCiiigDyH9pjQpbrX9B8RR6IJZLS3uLa3u0RmdfOeFni44wxhiI7krxXbfBPwSnw4+Enh7wNHJMw0zSooc3BG/gc5wAM8+ldRRXlYfK44fNK2N523USVu1l3+R1VMU6mFhRt8N9fUKKKK9U5T+Yz/AIKv/ED9oXUv+CknxI1z4xarrFpr2heL54PDLzboJLLS4Z2bTmt9uNieSY5VZfvM5fO5ia/Uf9n79oKLxr+zz4R1T45ft1akviLVfDFtJ4n0+5+IWnwgzyRAyxvEANmckFeCMkcGvt/4o/safstfGr4r6F8cvit8D9B13xb4a8r+xNcv7YtNbeVIZYxwQHCSEsocMAScYzXpJs7QnJtY/wDvgV8OuE8csTVqRxbgpO+l7v8AxarX7z9u468Vsp4s4ayvLaOXqnLCwtJvltdRUbU7JtQduZp2d7Lpd+DfsreDtJ1Hxhb/ABM0GYPptl4Yk07TJbSRXtZobiS1lBRxnfhbZMEHGG5zkGvfaRVVBtVQAOgApa+lyjLVlWBjhlLmtfW1t3fbU/G8ZiXi67qNWuFY3xC+Hvgn4seB9V+GvxI8MWmtaDrdk9pqul38W+K5hcYZWH6gjBBAIIIBrZor0pRUk01dMwp1KlGoqlNtSTumtGmtmn0aOJ+Bf7OPwN/Zn8Br8MfgR8MtL8M6Et3JdHTtOhO155Mb5GZiWdiFUZJJwqjoAB2ccEERzFCik9SqgU+ilCEKcFGCsl0WxeJxOIxleVfETc5yd3KTbbb6tvVvzYUUUVRiFfyofG34x/tVad+2hr3xh+IvijXdL+LOneMHmur6X9xeWN/FJsRFXoioFVFQfIEAUZWv6r68y1b9jT9lvXv2grX9qrWPgfoNx8QrNFW38Uy2xNwu2IxKxGdrOsZ2hypYALgjaMfPcQZNXziFJU6nJyO/X79Oq6er1R+weEfiVlvhzXx08Zg/bqvTUVtdNX913/5dzv79rv3Y+6z5D0f4x/DvxH4KsLD4mftuTak13pcA17R9S+I1g1vcSNGpmhkRMZQtuBUEccZr6n/Zf8Gm213XviS7TZ1WwsrGPcB5bpBJcyb14ycm5IJyR8o9DXr32Kz/AOfSL/v2KkAA4ArnwHDdbCZhDFVsTKo4p2TXdW3cmfm2LzSGIoypwpKCk76bb32sFFFFfUnkBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUVBqtpLqGmXNhDctC88DxpMnWMspAYe4zmgD54/Z3/wCCrv7EX7Uv7Qmp/sy/Bv4nXd94lsFvmsZLrQrq2sNbWym8m8OnXcqCG9EEh2yeUzbeTyATX0dX4qf8Erf2b/2mbD9on9kL9njxj+zf448KXn7JNl8SI/ih4u1vw/LbaRftqtzMtiunXjfJfi4Eqyt5ZO0A7ulftXQAUUUUAFeG/ts/8FE/2YP+CfmleHNW/aS8RavZJ4q1P7DpEej+Hrm/YvvijLyGFGWGMPNCu9yoLSKBknFe5V+ff/Bx/wCLdWl/YNi+Cng/4R+P/F3iDxX4u0a80228D+Br7WFhh07VrG6uTcPaxuLf90GKb8eYVYLnBwAfoGrBlDDoRkUtc18Hfibovxm+F+h/FPw5out6bY67p6XVrY+JNFm06/gRuiz206rJC/HKOARXS0AFFFFAFDxV4n0PwT4X1Lxn4nvxa6ZpFhNe6jdMjMIYIkMkj4UEnCqTgAnjgV4f+yB/wUy/ZS/be8ceJPhh8Fde8QW3ibwrZwX2q+HfF3hK+0a9+wznEN5HDeRRtJA/GJAMfMvqM+1eOfFMHgbwTrHja60i/wBQi0fSri+ksNKtGnurlYo2kMUMS8ySMF2qg5ZiAOtfnL/wRm+KOsftV/tl/Fj9tb9oz4N/E3wf8WfGegJpuj+GvFHwy1PSdK8K+ErK7AtdPS+uoUivb2WSUXEpU9yEUKjUAfpfRRRQAUUUUAfO/wC2b/wVF/ZM/YJ16y0P9ovVvFNmlxZxXl/qujeCdQ1Gw0e1ln8iOe+ureForRGkBVfMYE7TgV9A6bqVhrOnW+r6XdpPa3UCTW08ZyskbAMrA9wQQa/Mr/g4vsLj45/C6L9m/wAD/Ar9oPXviRFZW9/8Mpfh7ot3ceE9Yv5r6DNtrGwm0lSH7KjlL1QqrKTGTuav0k+HsXieDwBocHjW3tYtZTR7ZdXislAhS6ES+asYHAQPuAx2xQBsUUUUAFBIUFmIAA5JorxP/go34Q/aW+IX7EfxF+H/AOyFFC/xC17QG07Q/O1RLEqs8iRXDJcOCsEot2mKSEHa+04OMUAL+xr/AMFBf2X/ANvmLxvd/sw+NbjXbX4f+LJvDuv3r6dJDC15GMkwO4AmjI5Ei8EEEda9rr8yv+DfX4WftJfBP4t/tM+A/it+xL/wqDwvJ490+Xw9ar4jN9bxtDpltai0tZPs0IvYViiRzeJ8rOzJt3KSf01oAKKKKACvnP4lf8FQP2dfhn+1VN+xxc+EPiVrvjKzfShqp8JfDbUtVsNMXUSRayXV1bRNFbIwDkvIQAI3JOFOPoyvyW/4KoeAPiFpX7dr+P8A9hTwJ+0zpf7ROveL/CEEOt6Da3cfgDVtFtgonN/LF/okkMcEt0jrcnzFkzsG1skA/WmiiigAooooA5D4+fHr4S/swfB3X/j58dfGlr4e8J+GLA3es6td5KQx5CgAKCzszMqKqgszMAASRXP/ALKX7XHwm/bI+Hk/xI+Eln4ls7W0vzZ3lh4u8KXmjX0EnlpIpa3u40k2NHIjq4BVgwINfO//AAcE/s7fGL9pj/gmX4n8E/A7QdY1bW9K8R6HrsmkeHRu1C8tLLUIZ51tl/jnWNWkRP4mjAAJIFUf+CG1v+0HH8Ovixc/ESf4sN8N5/idM3wUHxwe6bxKNG+zReabj7Z/pIiNz5vliX5sBsfLigD7looooA//2Q==", "info": {"equation": "75/15=5", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "75/15=5", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "9c792baef376783016aca7bb08a624f135aeea23314b6ced4aaea0b8b94ae161"} +{"episode": 994, "episode_seed": 1360838141, "split": "train", "timestamp": "2025-10-28T03:42:52.421211", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1360838141, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 0, 5, 0])", "action": "('move', [0, 0, 5, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "11*7=77", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "11*7=77", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "fe513960fd404d9baaeabd10321a141cf2e6388731f6758118d9b940df761eee"} +{"episode": 995, "episode_seed": 1843057434, "split": "train", "timestamp": "2025-10-28T03:42:52.458913", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1843057434, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 5, 3, 0])", "action": "('move', [4, 5, 3, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "80-73=7", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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XBPmx2ZuJFIBZSgIBIFe402ckQuV67Tj8q+tr0nWoTpp25k1dbq6tdeh8vleMjl2Z0MXKmqipzjJxe0uWSfK99Haz0eh8B6P47g039oL9nvw1+zd4sS+a51p45tP0eWG7im8J/YJEuLiY5YpCrxWoWYEAyAKCzfKfkr/g6Y8WfHI/G/4e+BtQk1GP4b/8Iyb7S0EW20n1rz547glh9+VIDbgBvuLM2377V9df8E6f2cfgV8Fvi14A8X/Cr4X6XoeqeJPAF3Jrl/Zo5lvG8mxkO4uxwN7s21cDJHHAx7J/wUk+Dvwv+OuhfD34f/F/wVZ6/osnjGed9PvS4QyppV8UfKMpBBJ71+b4PCynwbWfO/ib+62no9/U/YeGeM8i4R8QsFj6WGdWlSjKLclFVG58z50k3FShflj72qT1jzWj4J/wbR6/8YtX/YFvNN+IUN4PDum+L7uHwLLdWwRXsyFknETYzIgunn5OcNvUH5cD9EK8Y/YF8LeG/A37N9p4M8HaJb6bpOleJddtdN0+0j2RW8KardBUUdgAPqepyTXs9fdZLB08ooRbv7kfxV/w2R+ccbZ1R4i4txuZUqSpRq1JSUV01626veT6ybYV/Or/AMHCfi344a7/AMFIPEfh74rTaiuiaRYWieAra6i2W66a8KM8sAHDBrjzwz8ktHtJ+QAf0VV5p8f/ANjn9l/9qe+0XU/2hfgnofiy48PSO+jzarblmt95UsuVI3KSiko2VOOlc+f5VVzfA+wpz5XdPXZ+T/P1R9R4Sce4Dw74qeZ4zDutB05Q0tzRbs1KN7K+nK9V7sn6P88f+Cf/AO0p4j8WfsheDdb+Pf7dOt6d4lktJo57S6+IFjbSx26TyJbbkcFwTAsZy/zNnLck192/sy/EDXfHuqLq+l+MT4g0WewJOppercQyFcIrrInyFiVIO3r83GRx7NHp9hFGsUVjCqqoCqsQAAHQCpURI12xoFA6ADFedg+G8Zh8VTqzxk5KLvZ3s/L4n+Wx8rnfEGHzfH4nE08LGkq05SUY2tHmk3ZaLRXstthaKKK+sPmQooooA/n+/wCDlDxb8cdU/b9PhL4gS6ing/SvD1nJ4At5otlq0UsEZu5oscO5uVkR2PzYiRTwq1+oH/BCTXvjF4g/4JneAp/jJBdrLbLcW3hx722ETyaPG+20YAAFk2DCMRlkVTyME6f/AAUO/Z++C37Q3xY+HPh342/DnT/Eljp+h67c2VtqG/bFMbjSlLjYyn7pIwcjnpXsH7GFra2H7KfgGwsbaOGCDw1bxwQwoFSNFXCqqjgAAAADgAV8ZlmGlS4sxbc29E//AAKzt8tkftfFniJl+e+FeVcP0sGoVMO/enpb3VKN421vUvzVL297+a916dRRRX2Z+KH8xn/BV/4gftC6l/wUk+JGufGLVdYtNe0LxfPB4ZebdBJZaXDOzac1vtxsTyTHKrL95nL53MTX6gfBH45ad8TP2aPDI/aC/bn1T+29e8JQDxdp0vxIsrQmWaHE0bLHtaLIYghSrLnggivsb46fA39gbx1+0F4O8bftB+G/ANx8SbVoV8Fv4g1CGLUZzHMXiWGFpFNxtlJKja+GJxya9K+K9paj4X+JXFrHkaBeHPlj/ng9fCLhbGPEVpwxbipNvS93197Va6+Z+68deKWA4m4byjAUsu9jLDQXvNJLRKNqVlfkvG7295JdLv4L+A3gP4S/CL9vL4O2n7InhrR9Ll1rQdTt/HNn4StIXt5/CyWRktrq6KZ2gXy2axTk7pTJINz4O39F6+If+Cc37OXwL+AXxm0ef4NfC/S/D0mufDC7m1eWxRy906z6SVLM7McAu5ABABYnHNfb1ehwbTcMlTve8pP06WX3X+Z+d8bZnRzLM6apylP2dNRc52U5vmlPmklKW3NyR96Xuxjr0RXO/Fvwv8MfGvww1/wt8adO0q78JXmkzp4jh1tlW0+x7CZWlZyAiqoLFyRt27sjGa6Kvzj/AODmTxd8cvDf7E2i6Z8Np9Rg8L6t4oW28ez2Efym32breKZxykTzAZ7MwRSeQD7uZYqOCwFSvKPMorbv/wADv5HNwTkNbifizB5XSrexlVmkp/y21utve091XV5WV1ufaH7Kfwx/ZR+Gvwhg0D9j/SPCkXgyW+nuIX8J3kd3aTXJYLK5mR38x8qFJLEgIF4CgD0mOCCI5ihRSepVQK/nx/4Ia/G7xx4T8XeL/h3rn7R+qeCvAw0r+0BbxeJrfT4JNVaWGNWUzg5cwrJkJ1CLu6LX6pfB/wCMw8QXTeH/AIdftHXXjW8juFuDEPE8GozRZwgBEHIjPowxkmvk8Pxpgo4eMfYST0VopW+X6aeR9T4icB43hji/E4Gri/btNS9pJvnfMlL37397XXV9+tj6/opkBmaBGuFAkKDzAvQHHOKfX3Kd1c/LgooopgfBX/Bxn4s+OXhX/gnfcp8HpdRi03UvE9rY+PLjToslNHkin3LIw5jie4FtGxH3g+w/KxB+Jv8Ag1z1/wCMVt+1R448N+HYLt/A914QWfxQ62waCO+jmAsd0hHyOVe7CqD8wD8Hbkfr7+2zpWna7+yN8RtD1izS4tL3whe293byfdlieIqyn2IJH415L/wT2+BHwd/Z8+Kfjzwb8E/h3p3hvTLnw/ot1cWmnK2JZjc6ou9mdmZjtUAZPAHGK+MzDDSfF2GnzvWLfpyp6ej6/M/bMh8RMvy3wgx/DU8GpVas7qelvecfel154W9xry2tr9V0UUV9mfiZ8TfHnxjr0X/BRvV/D/xP8R3Nlpdn8N7ST4aWF5IsNndCSWVtXmiJI86dDDaBxyY4ucBTk+KfswftFaHq9r48TUf23dS0nQ7T4m6vD4Ntk8a6fZRnTd0blokK5eL7U92EkOd6BSCRgn9BP2hv2WP2ev2r/DFn4N/aJ+FGleK9O069+12NvqSNm3m2FC6OjKy5ViCAcHjIOBjr/DvhLwv4S8P2PhTwx4es7DTNMs4rTTrC0t1SK2gjUJHGigYVVUAADgAV8ZieGMZXzOriYYlwUu17+j1Wi6H3VfiXJZ5LCjHDXrcsISuoqEVBW54PWTnUsnO6Vnzay5ly/Lf7P3hjwd8Tda0G48EeMRr1hp3iP+1brWrLU47z7RdJI80jTTJlSzyOS2MHLcYr61pscccS7Yo1UeijFOr28lyn+yMPKm6jm5Scm2rb28327nyONxf1yopctklawV4d/wAFJvEnxU8IfsPfELxF8GbzVrXXbbSoc3mg2/m3tpYtdQrfTwLgnzY7M3EikAspQEAkCvcaOvWvTr0nWoTpp25k1dbq6tdehWV4yOXZnQxcqaqKnOMnF7S5ZJ8r30drPR6H5ifH34y+C/APiP4GaV8Hv2gY/DcN9rq2yXWia/aRiXwz9jkE8jTSFgkW6C3CyA/M6lQSeK9R8N/EX4Y+LvFOn2n/AA1MfGeoxSSNpGmah42tL5o5TE6tJFFFhi/lNIuecKzcdx9OfA39jL9lj9mnxBrvir4D/A3QPDGoeJXDa1daZalWuMOzhRkkRpudjsTavTj5Rj0pbW1RgyW0YI6EIK+Go8HY1Yb2UsW0ne8Um4/+lK/nofTZvxBk9StTjgaDcYL45qMZybbeqjzJct+Ve87pX0vyrjP2ePBLeAfhdbaPIJw91qF9qEiXIAZGurqW4K4wMAGTAB5xjOTXb0UV9vhaCwuGhRTuopL7lY+Pq1HVqym+rbCiiitzMKKKKACiiigAooooA8h/aY0KW61/QfEUeiCWS0t7i2t7tEZnXznhZ4uOMMYYiO5K8V23wT8Ep8OPhJ4e8DRyTMNM0qKHNwRv4HOcADPPpXUUV5WHyuOHzStjedt1ElbtZd/kdVTFOphYUbfDfX1CiiivVOU/mM/4Kv8AxA/aF1L/AIKSfEjXPjFqusWmvaF4vng8MvNugkstLhnZtOa3242J5JjlVl+8zl87mJr9R/2fv2govGv7PPhHVPjl+3VqS+ItV8MW0nifT7n4hafCDPJEDLG8QA2ZyQV4IyRwa+3/AIo/safstfGr4r6F8cvit8D9B13xb4a8r+xNcv7YtNbeVIZYxwQHCSEsocMAScYzXpJs7QnJtY/++BXw64TxyxNWpHFuCk76Xu/8Wq1+8/buOvFbKeLOGsry2jl6pywsLSb5bXUVG1OybUHbmadney6Xfg37K3g7SdR8YW/xM0GYPptl4Yk07TJbSRXtZobiS1lBRxnfhbZMEHGG5zkGvfaRVVBtVQAOgApa+lyjLVlWBjhlLmtfW1t3fbU/G8ZiXi67qNWuFY3xC+Hvgn4seB9V+GvxI8MWmtaDrdk9pqul38W+K5hcYZWH6gjBBAIIIBrZor0pRUk01dMwp1KlGoqlNtSTumtGmtmn0aOJ+Bf7OPwN/Zn8Br8MfgR8MtL8M6Et3JdHTtOhO155Mb5GZiWdiFUZJJwqjoAB2ccEERzFCik9SqgU+ilCEKcFGCsl0WxeJxOIxleVfETc5yd3KTbbb6tvVvzYUUUVRiFFFFAHNfGPQU8UfC3XfDs2jpqEd7p0kMtm4YiVGGGGF5J25wB3xXB/sxeCpLLxDr/xEnE6vqVjZaeqyABGW3kupNy8ZJzcsCc4+UDgg17DRXl1ssjWzWljXN+4mrdHe+t/n+R1QxThhJULfE07hRRRXqHKFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRUGq2kuoaZc2ENy0LzwPGkydYyykBh7jOaAPnj9nf/gq7+xF+1L+0Jqf7Mvwb+J13feJbBb5rGS60K6trDW1spvJvDp13KghvRBIdsnlM23k8gE19HV+Kn/BK39m/9pmw/aJ/ZC/Z48Y/s3+OPCl5+yTZfEiP4oeLtb8Py22kX7arczLYrp143yX4uBKsreWTtAO7pX7V0AFFFFABXhv7bP8AwUT/AGYP+CfmleHNW/aS8RavZJ4q1P7DpEej+Hrm/YvvijLyGFGWGMPNCu9yoLSKBknFe5V+ff8Awcf+LdWl/YNi+Cng/wCEfj/xd4g8V+LtGvNNtvA/ga+1hYYdO1axurk3D2sbi3/dBim/HmFWC5wcAH6BqwZQw6EZFLXNfB34m6L8ZvhfofxT8OaLrem2Ou6el1a2PiTRZtOv4Ebos9tOqyQvxyjgEV0tABRRRQBQ8VeJ9D8E+F9S8Z+J78WumaRYTXuo3TIzCGCJDJI+FBJwqk4AJ44FeH/sgf8ABTL9lL9t7xx4k+GHwV17xBbeJvCtnBfar4d8XeEr7Rr37DOcQ3kcN5FG0kD8YkAx8y+oz7V458UweBvBOseNrrSL/UItH0q4vpLDSrRp7q5WKNpDFDEvMkjBdqoOWYgDrX5y/wDBGb4o6x+1X+2X8WP21v2jPg38TfB/xZ8Z6Amm6P4a8UfDLU9J0rwr4SsrsC109L66hSK9vZZJRcSlT3IRQqNQB+l9FFFABRRRQB87/tm/8FRf2TP2CdestD/aL1bxTZpcWcV5f6ro3gnUNRsNHtZZ/Ijnvrq3haK0RpAVXzGBO04FfQOm6lYazp1vq+l3aT2t1Ak1tPGcrJGwDKwPcEEGvzK/4OL7C4+Ofwui/Zv8D/Ar9oPXviRFZW9/8Mpfh7ot3ceE9Yv5r6DNtrGwm0lSH7KjlL1QqrKTGTuav0k+HsXieDwBocHjW3tYtZTR7ZdXislAhS6ES+asYHAQPuAx2xQBsUUUUAFBIUFmIAA5JorxP/go34Q/aW+IX7EfxF+H/wCyFFC/xC17QG07Q/O1RLEqs8iRXDJcOCsEot2mKSEHa+04OMUAL+xr/wAFBf2X/wBvmLxvd/sw+NbjXbX4f+LJvDuv3r6dJDC15GMkwO4AmjI5Ei8EEEda9rr8yv8Ag31+Fn7SXwT+Lf7TPgP4rfsS/wDCoPC8nj3T5fD1qviM31vG0OmW1qLS1k+zQi9hWKJHN4nys7Mm3cpJ/TWgAooooAK+c/iV/wAFQP2dfhn+1VN+xxc+EPiVrvjKzfShqp8JfDbUtVsNMXUSRayXV1bRNFbIwDkvIQAI3JOFOPoyvyW/4KoeAPiFpX7dr+P/ANhTwJ+0zpf7ROveL/CEEOt6Da3cfgDVtFtgonN/LF/okkMcEt0jrcnzFkzsG1skA/WmiiigAooooA5D4+fHr4S/swfB3X/j58dfGlr4e8J+GLA3es6td5KQx5CgAKCzszMqKqgszMAASRXP/spftcfCb9sj4eT/ABI+Eln4ls7W0vzZ3lh4u8KXmjX0EnlpIpa3u40k2NHIjq4BVgwINfO//BwT+zt8Yv2mP+CZfifwT8DtB1jVtb0rxHoeuyaR4dG7ULy0stQhnnW2X+OdY1aRE/iaMAAkgVR/4IbW/wC0HH8Ovixc/ESf4sN8N5/idM3wUHxwe6bxKNG+zReabj7Z/pIiNz5vliX5sBsfLigD7looooA//9k=", 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", 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", "info": {"equation": "80-73=7", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "54147ebfe9ef52ea97746046b28f251e0bd684ccd4a5da82dab2cf9a8311640f"} +{"episode": 996, "episode_seed": 1782573364, "split": "train", "timestamp": "2025-10-28T03:42:52.501341", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1782573364, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 5, 2, 7])", "action": "('move', [0, 5, 2, 7])", "reward": 0.0, "image": 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", "info": {"equation": "37+50=87", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "37+50=87", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "1954efbd6785b151b968b6f78d58cab84af241cbede59442bce40059741afccf"} +{"episode": 997, "episode_seed": 3679962749, "split": "train", "timestamp": "2025-10-28T03:42:52.548565", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3679962749, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [5, 4, 7, 0])", "action": "('move', [5, 4, 7, 0])", "reward": 0.0, "image": 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", "info": {"equation": "8+13*5=73", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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/DP4yfCrw98Pfih4Ls9a0W+8Z25u9OugwSQpa3brkoVbhlB4PavzPHZXXq18wqRrySg7tdJXXNZ69Nloz9szjxAy/Osl4fy+nh3QlhYOEqkLc28YuUFeN7qPM05RvOTV7aun/AMEuHmj/AGS7XStNaR/DOm+KNasvAkrxqFfQor+ZLPyyv+shEY2xvzvjVGywIY/RNeZ/sc6NpPhz9mjwn4e0DTobOwsLKS2srS3QLHBDHPIiRqB0VVAAHoK9Mr7/ACyLhl1GLd7Rjr8kfkmeYyGYZziMTGPKpzk7ere/n38z8jf+DqjxH8WLXwd8J/Cuny3qeCL2/wBRn1URJ/o8upxpELYSMP4hE9wVU9cuRnHGf/wTM+LPjK8/Yi8J/EX4ufFS5s59N+IlvbQ+Ib/VIoWt7G3toYLaJpn+VUESJDhuSpx3Br9Ufjr+z78F/wBprwBJ8Lvj18O9P8T6BLdRXLabqSMUE0ZJSRSpDKwyRkEcMR0JFeFXeg6J4d/aih8NaDpNvZ6fY+PNLt7Oyt4gkUMSaDAqIqjgKqgAAdAK+N4hyau8xjilVsqk6cUtbp7X+Vrrzb26/pa4+wGM8NcJwzHCJVcPOpUlU0tJPmaXe757SvpaEd72j7j8BdV17WPA323XLmWcNdP9knmYs0kWAc5PUZzg12tAAAwBRX22Bw0sHhIUZScnFWu+p+SV6irVpTStfoFYfxNu/Fdh8NvEN94DtzLrkOh3cmixLGHL3YhcwrtPDZcKMHg1uUV0yXNFoVKap1YzaTs07PZ+T8j+fj/g368YfHrUP+CrwvpZtVu5td0rW3+JdxdwF5GjKtM0lwWGUY3y2wLcHe23+I1/QPXx7+xz8E/hN8Pf2udf+JPgnwDYabr3ixfFUviPVbdW86/ddZhILliQOWJwuASckcCvsKvmuE6Lo5ZKLk378t/J2/S/qz9M8W+McHxxxTDMMNh/YxVGnC2l20m23bTTm5Y/3Yx22XM/Gm+8b6X8HPFmp/DO2ebxJb+Gb+Xw/DHCJGe+W3cwKFbhiZAgweD0r+dv/gkb8Z/id4Z/bcvpfEHx11nwlZ+JLLUJfHmqvrsdk91KqySoZ5LjgyfaWH+3l2HQtX9JVeU/Aj4Q/sc+BviV4/8AEP7PPh7wbB4q1fWFk+Iz+H7uKa6F6XlcLdIrsYHLtM2whckscZzV55k1bNMRRnTrez5b+uq3Wq10112NOB+OsHwxwlnOWVsH7Z4uEYqVlaFm177d9Fzc0LfbS73Xwt8cNG+CGr6JcfHX4beOLPxp8V7TxPof/CJeKv7ZttX1casl0iWNlEwJCxuDMGgUBWRppGBKl1/T+vjn48/A74Q69+3dp3xr1n4fadc+K9C1jwra6PrkqMZrSF7wblQZ2jPmPzjPzHBr7Grm4Yws8JVxUJTc2p2u+tlv11d9fQ+Y4izWnjsuwVGLk3CMm3LpzcqVOOr9yChePw6ylaK3ZXPfFW30q4+H2qLrLbYVtiysFBKuPuEA992K6GvE/wBsD4qN4Y8J3Gj6NYS313aRCc2UQ5uZ2wtvbg4Jy8jKOnGQa9bPMVTwmV1JSV+ZcqXdy0S/rofO4GlKtiopaWd2+yR53+yj4h8LeNP2uNdt9Rhc3Xhfw01r4deSKMxSzPLE2pPG28tvjD2ER+Rdu9xk7iB9YV8nXnwO1v8AZxvfh9qmhXS3Wq6DdJf6ndO6D+0ZLjcurLvMQA80zSSqAF+dYslQMj6wjkSVFljYMrAFWByCK8/hd+wwcsFNWqUnZrvfVP5/odOaLnrKvF3jNafLdC1+Gn/B0j4j+LE/7VHgPwnrcl6vgqDwUbrw/E0eLZ797mVbxlP8cgRbQHPKgr03c/uXXlf7Ufwo/Y/+KNl4Xi/a50TwfdwWPiOJ/Cf/AAlt7FAp1JgdkcJkdfNdwP8AVfMH2jKnAx357l88zy6VCM+Vtp3e2j6/1vY+x8K+LsPwRxnRzSthnXjGM48sUnJc0Wrxv1Wz/uuR8IfADx94C+O/7LngLwz+01+1G3iS81bQ9Nl13wZrvjezNtd3SlHigmtE2lwHWM+SeCygMp5FfUf/AATEji0nw78S/BfgxdvgPQviJLbeCoII1FpahrO2lvre1K8GFL6S6GBwjmRBjbtHof7cXgTwd8QP2Zte8FeNPDltqOlarfaVbajYzqQk8T6nahkJUg4I9CDVH9gbwH4N+GHwJl+H3w98OW2kaJpPiXUINO02zUiOCPzc4GSSckkkkkkkkkk18/luWV8v4jjCpXlUfs27vtzWtu9Ovqc2P4gw+NyHFKMHD21W6pq3soXalzx1+PT2a91e437zvY9rrkfjx4R+C/jv4Qa/4U/aJstFuPBN3YkeIo/ENwsVkIFYPulkdlCBWVWDZG0qCCCBXXV+cf8Awc2+JPixov7C2iaX4HlvY/D2qeNbeDxk9omUaBYpJIEmYcrGZ0Q+hdUB5wD9TmeKjg8vqVpR5lFPTv6+XfyPN4HyOrxJxdgstpVvYyq1IpT2cba3jt72nu6r3rao+8/g54O+D/g/4VeH/DPwO0rRofB9npUKeHE0R0ltDabcxtE6kiRWB3b8ndndkk5rqFVVAVVAA6ACvxb/AOCNXx51iH9kVvD3xP8A2v8AVfC9ro3iS4tPC+jt41tLFYrHZHIdscoLlfPkmwTx1A4Ffq1+zT4s1jxn4cu9euNdOqadctHLp2oicSpOHUktG4+VkI2kFeOeK8PKuJ8LmOIp4aFKUW15cqsr6eXRaLodfGvC2J4a4gxuEq11VdKpJc93eWu7v9rX3ld2d9Xuel0UUV9UfFBX87f7HHjr9qXU/wDgvFpHiPX01aXxzefFa7tfFsVxaAyx2G+SK8RkPCRR2gcDHCIi7egr+iSvjzwl8E/hLpv/AAUXuPjvY+AdPj8Y6j42vLC98QhGNxLbLoLgR8naBhEGQATtGTXzHEdB1a2DkpNfvYrTz6/K34n6n4b8a4PhPAZxQr4ZVXisPKEW7e69VZ3+w+a8ktW4x06r7Dooor6c/LD+av8AZ2+NH7Rehf8ABWabxh8R/ifrXhTxVrHjm9sPiBqsl9HYzQ2xmYXUMjSfJEirGAFPC+WgXlVr9Gv2iNG/ZX+KPw38X/Efxl8XrLx34i0PwlL/AGRr1/4lttV1DRXRjJamyVDiGVrvytu1d0smyM7gQh+5PCHwj/Y70j9qTxR8SfBXh/wcnxcv9JiTxbPZXcTat9jKw7GnhDlo0YJB85Vd2EyTxXhn/BRH4G/CD4lfFzS/F/j34e6dqup+FPBz3nh27u42JsJzdE+YgBCk5RCNwOCoIxX5lmXDuJwWAqVZYluPN8KvZ3kld6/F1em/U/feI/ErAcT8VYDGU8JLCqjQhF8iSk+VOXLHWK9m9IxbbtD3uV/CfVPwlvPGOo/CrwzqHxFtmh8QT+H7KTXYWjCGO8aBDMpUcKRIWGBwK6Ciiv0yK5YpH4NWqKrVlNJK7bstlfovJH55ftj/ABPn8MeP/wBpa/8AiT8QbvRrzRvDdkPCHnvFG1tph0oNaz2aPxKX1OS8Tdg7pUWPnAWtL4X/ABT8JeNLbwzB4p/asl8V6+1pBL/YN/43s7sfb2t8SFIIsEuu6UADOATxX1/8Sf2Yf2f/AIwfEfwt8Xvid8J9I1rxL4KnM3hbWL2AtNp8hZX3IQcHDKrLuB2sMjB5ruFtbVG3pbRgjoQgr4vEcKYvEYqvU+tOMajbsk3dPo9Vtst9D7HHcR5VVwOHhQw/7yMY87aiknGEYLkau2pcrnJtJ80rWduaXN/BbwkfA/wt0bwyxl3QWxdhPjeGkdpCDgDGC5GPauooor7ChSVCjGmvspL7lY+MnJzm5dwrxbV/h+2sftNw6k2myW/k6nFqsk0KnE5jtPIVmJyOgVOMfcHvXtNFcmYYBY/2V5W5Jxn626G2HxDw/NZX5k194UUUV6BzhRRRQB4v8F/h+bD42ap4jbTJLMadDqEIhjUiLfd3UUznLckkx7hg9HJ7ivaKKK8/LMAstw3sVLm1bu/N3OjFYh4mrztW0S+45n4033jfS/g54s1P4Z2zzeJLfwzfy+H4Y4RIz3y27mBQrcMTIEGDwelfzt/8EjfjP8TvDP7bl9L4g+Ous+ErPxJZahL481V9djsnupVWSVDPJccGT7Sw/wBvLsOhav6Sq4L4W/sufs9fBPxl4p+IXwp+EmjaFrXja+F54p1GxtsSajPvkfe+SQPmlkbC4BLk4zXm53kuIzWvRnSrOnyX2vfXqrNa9N9j9I4J4+y/hXhXN8qr4RVZYyEYxlpaLV0+a+tlfmjbaaXe6+fPgJH4N+LPjW0bwt8XZPGk9vrtje6pqy6/BqM8YtpVmijkeL5UT92QAQCdzYOTx9gU2OGGHPlRKueu1cU6urJsqllVKcZVXUcndt+iXd/mfneMxaxc4tR5UlawVzF78LtJvfiJD8QpLt/MiQbrbYNrSBdqvnrwO3qB9D09FehiMLh8UoqrG/K1JeTWzOenVqUm3B2urfJnNfEb4aad8RoLSK9v5LdrSYsHjQMWRsbl56ZwOe3oa6KCGK2gS3hXakaBUUdgBgU+inDC4elXnWjG0p2u+9tglVqSpqDei2+YV+G3/B0Z4o+Lo/as8A+GdTur+Lwba+DPtnhxQpWBtRa5lW7dWH3pFRLQHuoK4xu5/cmuE+OP7MfwB/aWt9FtPjz8KdI8Ux+HdUXUdFTVYC4tbkDG9cEZBGMqcq2BkHArgzvLqmaZfLDwlyttPy0fX+tz77wv4ywfAfGFLN8VQ9rCMZxaVuZc0Wrxvpfo/wC62fBv7LPx1sviL8Afh/e/HD9sS71fxHqOjafcav4f1fxzZlZr75HRHt1w+8SCNgmc7gM85Ffef7O3hJvCfw5CyCYPqOo3N+6TDBUyvnAGBxgAjPrXbfZLUNuFtHnPXYKkrhyrIa2X4x4iriHUfLy6rZXT3bfY+YzfN6eZ1ak6dGNJTm5csdldvRKy0V7LyQVz/wAVPhX8O/jd8PtU+FXxZ8I2eveHdatxDqmk36ForhAwYA4IIIZVYEEEFQQQRXQUV9HKMZxcZK6Z5FGtVw9WNWlJxlFppp2aa1TTWqaeqa2MH4dfC/4e/CXwNpXw0+G3hCx0fQdEsktNK0yzhAjt4VHCjOSfUkkkkkkkkmt1VVQFVQAOgApaKIxjFJJWSFVq1K9SVSpJylJttt3bb1bbe7fVhRRRTICvF9L+H5uv2nTrZ0yS2Fhqc2qM0KnZMz2b2oZic5ysnbHKexFe0UV5+OwCx06MnK3s5qfra+h0UMQ6Cmkr8ya+8KKKK9A5z+av9nb40ftF6F/wVmm8YfEf4n614U8Vax45vbD4garJfR2M0NsZmF1DI0nyRIqxgBTwvloF5Va/XjwBN4E+NWtXXhbQPj1N451LULZLW4mbxRb6jc2dsXwdoiGI0yxJLDGe9fT/AIe/Ze/Z88KfG/W/2kvDvwl0e08deI7JbTW/E0Vv/pN3CBGNrHOBkQxZIALbBknFd1HbwRHdFCin1VQK+Fp8IYrWM8U+VyvypNp63u9Ur/J69z9d8RPEnLuM8ww2JwuCVH2VCFN7bq97WXwRvaK3tva9k+iiivuj8iCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArx/9s39ur9nL9gj4faf8Sf2jvFF9Y2OraobDTLXSNGuNQu7mVYZJ5WSC3RpCkUEMs0j42okbMSK9gr4H/wCC3Hhz4l6B4i+Df7R/g/4LeK/HukeD18a6Nrmh+C9Ek1K+SbW/DN3p9lN9njyxi+0lInfpGs+48A0AfdPhXxR4e8ceF9N8a+EdYg1HSdYsIb3S9QtX3RXNvKgkjlQ91ZGVgfQ1fryL/gn/APCbxn8Bv2Fvg58E/iLHs1/wn8MNC0nW4t4byru3sIYpY8jghXVlz32167QAVzPxm+L3gb4BfCrX/jP8S7+4ttB8N6bJfanNaWMtzKIkGSI4olZ5HJwFVQSSQBXTVyHx++IGlfCv4J+KfiHreia1qVrpOiXE89h4c0abUb6cBCNsFtArSTOc8IoJNAEX7O3x8+HP7UnwO8L/ALQ/wivrq58M+L9Ii1LRJ72ze3leCT7peN/mQ8dDzXaV8i/8EKde1K9/4Ja/Cjwb4g+H3i3wxrHg/wAPx6Drmk+MvC91pN0l3Aqs5SK5RGki/eDbKBtYhgDkHH11QAUkkiRRtLIwCqCWJ7ClpJHEcbSMCQoJIAyTQB4l+yV/wUK/Zj/bX8R+LfB3wM8Raw+reCpbb+29L8QeG7zS7j7PchzbXkUd1GjTW0wjkMcygq2047Z9ur4C/wCCQ/xZ1D9p79qD49/tYfFf4QfEbwd458VXljpemaD4x+HuoaRaaR4V06W5h023iubmJI7u5maS4u5/LJCG4RBwmT9+0AFFFFAHiN1/wUK/Zo0/9sey/YW1LWddtfHepxTHS2uvC95Hpd9PDareS2kN+0Yt5bhLdllaJXLKp5weK9ur89vjPp3in4m/8F0fg74p+F3wf+Lkd74Bt9asviHrXiXSrj/hDI9Cm0hzBd6bLIWtxeyXcsMJeDbMVjkSQbVFfoTQAUUUUAeWftYftl/AL9irwn4d8ZftAeKpdMtPFfjGw8L6CltZvcS3epXjlYYlRATj5WZm6KqkmvU6/L7/AIOD/gl+2x8SfE3gL4gfAv8AZeX4m+FPCcujNZw2niYWt1pWuSeJ9Lle4+yrBLJcK1taJbmYbVtorm5lbcqstfp3p017cafBPqNmtvcPCrT26y7xE5ALKGwN2DkZwM4oAmooooA80/aw/au+Ff7GnwoHxi+L1tr1xpsmtWWk2tl4Y0CfVL+7vLuYQwQw21urSSu7sFAUE811Pwk+Jej/ABk+GmifFPw/omt6bZa7p6XdtYeJNGm06/gRhwk9tOqyQOO6OARXhX/BWHwh8IfGX7KH2T44+Dvi7rHh+x8V6ZqMh+B9rcS+IbG4t5TLb3UItv36qkyx5eH51JU8KGI1P+CUy/tJp/wTv+E6/teNrJ+IX/CML/bx8SNnUtvnSfZvtZ6/afs3kebnnzN+ec0AfQdFFFAFbWdY0rw9pF34g13UIbSxsbaS4vLu4kCxwxIpZ3ZjwFCgknsBXl37IP7bHwH/AG5PAl98Sf2f7/W7nSLK/Futzrfhq7037WjRrJFdW4uY0M9tKjBo5kyjjODwRV39tb4a+L/jP+xv8Wfg/wDD4j+3vFXw013SNEy+0G7udPnhhGT0+d15r4//AODejw1+0P4R+C3jfw98TdN+LNj4Lsbjw9aeCtO+MqzrqlrfRaHax63HAtx+8SwXUFdYFH7oKreX8mKAP0NooooAK+fPhH/wUu/Z5+Mn7WWqfsWaJ4a+IOkeONMsdRvvK8U/D7UNMs721srlLae4trm4jWO4i8yRAskZKuGBBORX0HXyh+zn4H8Z/Eb/AIKofHz9pvxp4T1Sw0nwn4X8P/Df4f3WpafLAl7AqPq2qXNuZFAlia5u7eHzEypazIzlTQB9X0UUUAFeBfGr/gph+yR+z9+1D4Z/ZB+JfjPU7bxj4ofT0tVtfD91cWNk9/PJb2CXd3GhitWuZopI4hIwLspAr32vyg/4KR/Bv44+Kv8Ags18P/G/h34E+OtXmj1D4dt4B1nQNCkm8My2tprV/Nr767Ko8rzba1ljltDOd0bvuh+YmgD9X6KKKAP/2Q==", 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/DP4yfCrw98Pfih4Ls9a0W+8Z25u9OugwSQpa3brkoVbhlB4PavzPHZXXq18wqRrySg7tdJXXNZ69Nloz9szjxAy/Osl4fy+nh3QlhYOEqkLc28YuUFeN7qPM05RvOTV7aun/AMEuHmj/AGS7XStNaR/DOm+KNasvAkrxqFfQor+ZLPyyv+shEY2xvzvjVGywIY/RNeZ/sc6NpPhz9mjwn4e0DTobOwsLKS2srS3QLHBDHPIiRqB0VVAAHoK9Mr7/ACyLhl1GLd7Rjr8kfkmeYyGYZziMTGPKpzk7ere/n38z8jf+DqjxH8WLXwd8J/Cuny3qeCL2/wBRn1URJ/o8upxpELYSMP4hE9wVU9cuRnHGf/wTM+LPjK8/Yi8J/EX4ufFS5s59N+IlvbQ+Ib/VIoWt7G3toYLaJpn+VUESJDhuSpx3Br9Ufjr+z78F/wBprwBJ8Lvj18O9P8T6BLdRXLabqSMUE0ZJSRSpDKwyRkEcMR0JFeFXeg6J4d/aih8NaDpNvZ6fY+PNLt7Oyt4gkUMSaDAqIqjgKqgAAdAK+N4hyau8xjilVsqk6cUtbp7X+Vrrzb26/pa4+wGM8NcJwzHCJVcPOpUlU0tJPmaXe757SvpaEd72j7j8BdV17WPA323XLmWcNdP9knmYs0kWAc5PUZzg12tAAAwBRX22Bw0sHhIUZScnFWu+p+SV6irVpTStfoFYfxNu/Fdh8NvEN94DtzLrkOh3cmixLGHL3YhcwrtPDZcKMHg1uUV0yXNFoVKap1YzaTs07PZ+T8j+fj/g368YfHrUP+CrwvpZtVu5td0rW3+JdxdwF5GjKtM0lwWGUY3y2wLcHe23+I1/QPXx7+xz8E/hN8Pf2udf+JPgnwDYabr3ixfFUviPVbdW86/ddZhILliQOWJwuASckcCvsKvmuE6Lo5ZKLk378t/J2/S/qz9M8W+McHxxxTDMMNh/YxVGnC2l20m23bTTm5Y/3Yx22XM/Gm+8b6X8HPFmp/DO2ebxJb+Gb+Xw/DHCJGe+W3cwKFbhiZAgweD0r+dv/gkb8Z/id4Z/bcvpfEHx11nwlZ+JLLUJfHmqvrsdk91KqySoZ5LjgyfaWH+3l2HQtX9JVeU/Aj4Q/sc+BviV4/8AEP7PPh7wbB4q1fWFk+Iz+H7uKa6F6XlcLdIrsYHLtM2whckscZzV55k1bNMRRnTrez5b+uq3Wq10112NOB+OsHwxwlnOWVsH7Z4uEYqVlaFm177d9Fzc0LfbS73Xwt8cNG+CGr6JcfHX4beOLPxp8V7TxPof/CJeKv7ZttX1casl0iWNlEwJCxuDMGgUBWRppGBKl1/T+vjn48/A74Q69+3dp3xr1n4fadc+K9C1jwra6PrkqMZrSF7wblQZ2jPmPzjPzHBr7Grm4Yws8JVxUJTc2p2u+tlv11d9fQ+Y4izWnjsuwVGLk3CMm3LpzcqVOOr9yChePw6ylaK3ZXPfFW30q4+H2qLrLbYVtiysFBKuPuEA992K6GvE/wBsD4qN4Y8J3Gj6NYS313aRCc2UQ5uZ2wtvbg4Jy8jKOnGQa9bPMVTwmV1JSV+ZcqXdy0S/rofO4GlKtiopaWd2+yR53+yj4h8LeNP2uNdt9Rhc3Xhfw01r4deSKMxSzPLE2pPG28tvjD2ER+Rdu9xk7iB9YV8nXnwO1v8AZxvfh9qmhXS3Wq6DdJf6ndO6D+0ZLjcurLvMQA80zSSqAF+dYslQMj6wjkSVFljYMrAFWByCK8/hd+wwcsFNWqUnZrvfVP5/odOaLnrKvF3jNafLdC1+Gn/B0j4j+LE/7VHgPwnrcl6vgqDwUbrw/E0eLZ797mVbxlP8cgRbQHPKgr03c/uXXlf7Ufwo/Y/+KNl4Xi/a50TwfdwWPiOJ/Cf/AAlt7FAp1JgdkcJkdfNdwP8AVfMH2jKnAx357l88zy6VCM+Vtp3e2j6/1vY+x8K+LsPwRxnRzSthnXjGM48sUnJc0Wrxv1Wz/uuR8IfADx94C+O/7LngLwz+01+1G3iS81bQ9Nl13wZrvjezNtd3SlHigmtE2lwHWM+SeCygMp5FfUf/AATEji0nw78S/BfgxdvgPQviJLbeCoII1FpahrO2lvre1K8GFL6S6GBwjmRBjbtHof7cXgTwd8QP2Zte8FeNPDltqOlarfaVbajYzqQk8T6nahkJUg4I9CDVH9gbwH4N+GHwJl+H3w98OW2kaJpPiXUINO02zUiOCPzc4GSSckkkkkkkkkk18/luWV8v4jjCpXlUfs27vtzWtu9Ovqc2P4gw+NyHFKMHD21W6pq3soXalzx1+PT2a91e437zvY9rrkfjx4R+C/jv4Qa/4U/aJstFuPBN3YkeIo/ENwsVkIFYPulkdlCBWVWDZG0qCCCBXXV+cf8Awc2+JPixov7C2iaX4HlvY/D2qeNbeDxk9omUaBYpJIEmYcrGZ0Q+hdUB5wD9TmeKjg8vqVpR5lFPTv6+XfyPN4HyOrxJxdgstpVvYyq1IpT2cba3jt72nu6r3rao+8/g54O+D/g/4VeH/DPwO0rRofB9npUKeHE0R0ltDabcxtE6kiRWB3b8ndndkk5rqFVVAVVAA6ACvxb/AOCNXx51iH9kVvD3xP8A2v8AVfC9ro3iS4tPC+jt41tLFYrHZHIdscoLlfPkmwTx1A4Ffq1+zT4s1jxn4cu9euNdOqadctHLp2oicSpOHUktG4+VkI2kFeOeK8PKuJ8LmOIp4aFKUW15cqsr6eXRaLodfGvC2J4a4gxuEq11VdKpJc93eWu7v9rX3ld2d9Xuel0UUV9UfFBX87f7HHjr9qXU/wDgvFpHiPX01aXxzefFa7tfFsVxaAyx2G+SK8RkPCRR2gcDHCIi7egr+iSvjzwl8E/hLpv/AAUXuPjvY+AdPj8Y6j42vLC98QhGNxLbLoLgR8naBhEGQATtGTXzHEdB1a2DkpNfvYrTz6/K34n6n4b8a4PhPAZxQr4ZVXisPKEW7e69VZ3+w+a8ktW4x06r7Dooor6c/LD+av8AZ2+NH7Rehf8ABWabxh8R/ifrXhTxVrHjm9sPiBqsl9HYzQ2xmYXUMjSfJEirGAFPC+WgXlVr9Gv2iNG/ZX+KPw38X/Efxl8XrLx34i0PwlL/AGRr1/4lttV1DRXRjJamyVDiGVrvytu1d0smyM7gQh+5PCHwj/Y70j9qTxR8SfBXh/wcnxcv9JiTxbPZXcTat9jKw7GnhDlo0YJB85Vd2EyTxXhn/BRH4G/CD4lfFzS/F/j34e6dqup+FPBz3nh27u42JsJzdE+YgBCk5RCNwOCoIxX5lmXDuJwWAqVZYluPN8KvZ3kld6/F1em/U/feI/ErAcT8VYDGU8JLCqjQhF8iSk+VOXLHWK9m9IxbbtD3uV/CfVPwlvPGOo/CrwzqHxFtmh8QT+H7KTXYWjCGO8aBDMpUcKRIWGBwK6Ciiv0yK5YpH4NWqKrVlNJK7bstlfovJH55ftj/ABPn8MeP/wBpa/8AiT8QbvRrzRvDdkPCHnvFG1tph0oNaz2aPxKX1OS8Tdg7pUWPnAWtL4X/ABT8JeNLbwzB4p/asl8V6+1pBL/YN/43s7sfb2t8SFIIsEuu6UADOATxX1/8Sf2Yf2f/AIwfEfwt8Xvid8J9I1rxL4KnM3hbWL2AtNp8hZX3IQcHDKrLuB2sMjB5ruFtbVG3pbRgjoQgr4vEcKYvEYqvU+tOMajbsk3dPo9Vtst9D7HHcR5VVwOHhQw/7yMY87aiknGEYLkau2pcrnJtJ80rWduaXN/BbwkfA/wt0bwyxl3QWxdhPjeGkdpCDgDGC5GPauooor7ChSVCjGmvspL7lY+MnJzm5dwrxbV/h+2sftNw6k2myW/k6nFqsk0KnE5jtPIVmJyOgVOMfcHvXtNFcmYYBY/2V5W5Jxn626G2HxDw/NZX5k194UUUV6BzhRRRQB4v8F/h+bD42ap4jbTJLMadDqEIhjUiLfd3UUznLckkx7hg9HJ7ivaKKK8/LMAstw3sVLm1bu/N3OjFYh4mrztW0S+45n4033jfS/g54s1P4Z2zzeJLfwzfy+H4Y4RIz3y27mBQrcMTIEGDwelfzt/8EjfjP8TvDP7bl9L4g+Ous+ErPxJZahL481V9djsnupVWSVDPJccGT7Sw/wBvLsOhav6Sq4L4W/sufs9fBPxl4p+IXwp+EmjaFrXja+F54p1GxtsSajPvkfe+SQPmlkbC4BLk4zXm53kuIzWvRnSrOnyX2vfXqrNa9N9j9I4J4+y/hXhXN8qr4RVZYyEYxlpaLV0+a+tlfmjbaaXe6+fPgJH4N+LPjW0bwt8XZPGk9vrtje6pqy6/BqM8YtpVmijkeL5UT92QAQCdzYOTx9gU2OGGHPlRKueu1cU6urJsqllVKcZVXUcndt+iXd/mfneMxaxc4tR5UlawVzF78LtJvfiJD8QpLt/MiQbrbYNrSBdqvnrwO3qB9D09FehiMLh8UoqrG/K1JeTWzOenVqUm3B2urfJnNfEb4aad8RoLSK9v5LdrSYsHjQMWRsbl56ZwOe3oa6KCGK2gS3hXakaBUUdgBgU+inDC4elXnWjG0p2u+9tglVqSpqDei2+YV+G3/B0Z4o+Lo/as8A+GdTur+Lwba+DPtnhxQpWBtRa5lW7dWH3pFRLQHuoK4xu5/cmuE+OP7MfwB/aWt9FtPjz8KdI8Ux+HdUXUdFTVYC4tbkDG9cEZBGMqcq2BkHArgzvLqmaZfLDwlyttPy0fX+tz77wv4ywfAfGFLN8VQ9rCMZxaVuZc0Wrxvpfo/wC62fBv7LPx1sviL8Afh/e/HD9sS71fxHqOjafcav4f1fxzZlZr75HRHt1w+8SCNgmc7gM85Ffef7O3hJvCfw5CyCYPqOo3N+6TDBUyvnAGBxgAjPrXbfZLUNuFtHnPXYKkrhyrIa2X4x4iriHUfLy6rZXT3bfY+YzfN6eZ1ak6dGNJTm5csdldvRKy0V7LyQVz/wAVPhX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", "info": {"equation": "8+13*5=73", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "59055ec02b04dff5c1b0944fb97008e55a699e10d139c8706bc1d11a6baaa68b"} +{"episode": 998, "episode_seed": 706172926, "split": "train", "timestamp": "2025-10-28T03:42:52.594854", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 706172926, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 1, 2, 7])", "action": "('move', [3, 1, 2, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "61+51=112", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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IWq+Afiv4G1jxLdzeGdF8HXlxomnyzgxWVzOB9peMdU3iKAn+HKZ67s/vZ4o8MeHvGvhrUPB3i3R7fUdK1ayls9SsLuMPFcwSoUkjdT1VlYgj0NfJ37QPwK+EP7OPhLTvhR8DvANh4b8PWXgLxJLbaXpyEIryS2ru5LEszFj1JJ6DoAK8Li3K6tRPHKpaMYpOPf3l+Gt/VL5fR8N8d4HB+HeI4VlhU6tasqiq6aJKLfnzLk5VbTlnLVWtL1T9kLx3qXjvSRqdl46fxLo50uJYtY/tBbpJpUwmRKnyMx2tux3HIzmva6r6SiR6XbrGgUeQnAGOwqxX1WV4KeX4NUZ1HN3bu99Xfu/zPyrFV44is5qPKuyOZ+NN9430v4OeLNT+Gds83iS38M38vh+GOESM98tu5gUK3DEyBBg8HpX86/8AwSQ+LfxD8O/tz3WqeI/jVqnhSPxBp2pHxvrkmsxWU07YaYCWa4Bw7XQjJH3ic9s1/SdXlPwI+EP7HPgb4leP/EP7PPh7wbB4q1fWFk+Iz+H7uKa6F6XlcLdIrsYHLtM2whckscZzXmZ5k1bNMRRlTrez5b+uvVarXTXXY/TOB+OsHwxwnnOWVcH7Z4uEYqVlaFm177d9Fzc0LfbS73Xw18Z7H4N3Wk3Px8+FPxDt/F3xatfEWjReE/FsWuW+q6x/af2hYrSwiZThYpEedHgUBXjkndgcFl/Tuvjn48/A74Q69+3dp3xr1n4fadc+K9C1jwra6PrkqMZrSF7wblQZ2jPmPzjPzHBr7Grm4Yws8JUxUJ1HNqdrvq0t+urvr6HzHEea08fl2Coxcm4Rk25dOblSpx1fuQULx+HWUrRW7KKKK+sPkj8RP+Dp3xD8V5P2g/hx4S1OS9XwOnhCW70hDHi2l1RrmRLo7h9+RYRaDB+6rjGN5z+qX/BObWPibr/7CXwn1f4xQ3KeI5/A9gdRF5AIpT+6AjZ1GMMYwhPAOTyAc1w//BSL4J/Cb45yeCvDvxf8B2HiGxsF1W+tLTUFYpHcJFAFkwpGcBmGDkHPINe9/BX/AJI54S4H/Is2HQf9O8dfL5dQcOJMZLmb0hp6r9Laep+p8S8a4POPDfKMip4ZQnhpVHKemt39nr717zvvKKevTpq8r/aj+FH7H/xRsvC8X7XOieD7uCx8RxP4T/4S29igU6kwOyOEyOvmu4H+q+YPtGVOBj1Svw2/4OjPFHxdH7VngHwzqd1fxeDbXwZ9s8OKFKwNqLXMq3bqw+9IqJaA91BXGN3Po55j4Zdl0q0oc6ulZ7avr/W9jh8K+FMRxnxnRy6jinhpOM5e0jfmXLF6Rs1dvZ6r3eZ9LH7i/ZLUNuFtHnPXYKkr83v2O/2lr7XPgn8PvEvxO/bX1C78Xah4ftG1bRtR8d2R826lj2+W8AAfcdw+XO7djvX3/wDCe71y98A6fc+IWka5ZG+ebO9k3HaWzznbj61y5VxFhs3xLo0qclZXu7d0raN9z5TN8lrZPXqUqk4y5JuF4u6dm1deTtodFRRRX0J4p49/wUE8QfFbwp+xH8UvEnwPe8TxXZeCr6XRpNOj33EcgiOXiHXeqbmXHIIBGTivyd/4NZtb+J6ftO/EjQ9MS6fwjc+C4rjXpBAGiXUEu0Fnuc8q5jkvcD+IBifu1+31+xWxmZTyImI/I18j/wDBMD4JfCX4J3+s2nwn8A2Ggx634O0PUNWFirZurpmugZHLEkn26DJwBk18xmlCUuIcFPma+PT0V/xvZ+R+p8Mca4PJ/DjOMiqYZTniXTcZ6aWa+Lr7tuaFtpNvTr9e0UUV9OflgV/O3+xx46/al1P/AILxaR4j19NWl8c3nxWu7XxbFcWgMsdhvkivEZDwkUdoHAxwiIu3oK/okr488JfBP4S6b/wUXuPjvY+AdPj8Y6j42vLC98QhGNxLbLoLgR8naBhEGQATtGTXzHEdB1a2DkpNfvYrTz6/K34n6n4b8a4PhPAZxQr4ZVXisPKEW7e69VZ3+w+a8ktW4x06r7Dooor6c/LD+av9nf40ftFaF/wVmm8YfEf4oa14U8Vax45vbDx/qsl9HYzQ2xmb7VDI0nyRoqxABei+Wm3lVr9ePAE3gT41a1deFtA+PU3jnUtQtktbiZvFFvqNzZ2xfB2iIYjTLEksMZ71rfDz4H/CPSf+Cgt18b9P+H+nxeLtY8aarZalr2xjPPbrpcoWM5JUDEafdAJ2jOa+w47eCI7ooUU+qqBX5xlvDtbHRq3xMlGNSScd0+VrV62u/Q/Y/EvxCwHFmY4TE4bBKj7PDwg9t1e6Vl8Eb2it7dr2T6KKK/Rz8cPzy/bH+J8/hjx/+0tf/En4g3ejXmjeG7IeEPPeKNrbTDpQa1ns0fiUvqcl4m7B3SosfOAtaXwv+KfhLxpbeGYPFP7VkvivX2tIJf7Bv/G9ndj7e1viQpBFgl13SgAZwCeK+v8A4k/sw/s//GD4j+Fvi98TvhPpGteJfBU5m8LaxewFptPkLK+5CDg4ZVZdwO1hkYPNdwtrao29LaMEdCEFfFYjhTF4jFV6n1pxjUbdkm7p9Hqttlvofa47iPKquBw8KGH/AHkYx521FJOMIwXI1dtS5XOTaT5pWs7c0ub+C3hI+B/hbo3hljLugti7CfG8NI7SEHAGMFyMe1dRRRX2FCkqFGNNfZSX3Kx8ZOTnNy7hWL8SNLGufD7XNEfTlvFvNJuIJLVwcTK8bKycc8gkcVtUU6sPa0pQva6a+8IS5JKXY8x/Zj8Jtomh6x4ikEytrOopJtlGBiKFIgV4zg7ffmvTqKK58vwawGCp4dO/KrX7mmIrPEV5VLWuFeNftVeBX8bXWm6cNLdjfadd6Yt5ApMiLcbA6DqB9xWGR/CewNey0VnmmAWZ4KWHcuVO2vo0/wBCsLiHha6qJXtf8hltCLe3jt1JIRAoJ9hin0UV6BznM/Gm+8b6X8HPFmp/DO2ebxJb+Gb+Xw/DHCJGe+W3cwKFbhiZAgweD0r+dv8A4JG/Gf4neGf23L6XxB8ddZ8JWfiSy1CXx5qr67HZPdSqskqGeS44Mn2lh/t5dh0LV/SVXBfC39lz9nr4J+MvFPxC+FPwk0bQta8bXwvPFOo2NtiTUZ98j73ySB80sjYXAJcnGa+dzvJcRmtejOlWdPkvte+vVWa16b7H6hwTx9l/CvCub5VXwiqyxkIxjLS0Wrp819bK/NG200u918+fASPwb8WfGto3hb4uyeNJ7fXbG91TVl1+DUZ4xbSrNFHI8Xyon7sgAgE7mwcnj7ApscMMOfKiVc9dq4p1dWTZVLKqU4yquo5O7b9Eu7/M/O8Zi1i5xajypK1gooor2DjPKP2o/Db65aaPPFpJmkRri3juI0ZnjMyou0Y4+baOo6qK9E8F6CnhXwdpPheN3ZdN0yC1VpCCxEcapk44zx2rTorz6GAVDMK2K5ruooq3blVvxOipiHPDwpW+G/4hXCfHH9mP4A/tLW+i2nx5+FOkeKY/DuqLqOipqsBcWtyBjeuCMgjGVOVbAyDgV3dFds4QqRcZpNdnqLC4rFYKuq+HqOE1tKLcWumjVmtNCP7Jahtwto8567BUlFFWYBRRRQBFerI9nKkMau5iYIjHhjjgH2ryD9lrwAnhzU9X1yOwmtEXT7TSobVlISNLdpmCjIzkebtPPYd69korz8RgFiMfRxLlb2fNp35lb8Dop4h08POlb4ra+juFFFFegc4V4vpfw/N1+06dbOmSWwsNTm1RmhU7Jmeze1DMTnOVk7Y5T2Ir2iivPx2AWOnRk5W9nNT9bX0OihiHQU0lfmTX3hRRRXoHOflVcfG/VtA+EPwv1jxR8dL/AMOePdV+LUkPjO7l1K2tL2C8M92NZgm83It44Y3dRgDYotwPvru+nvgD8X4/EXiqHQPh/wDtIXPji6+2QzTWsviq31F4Y87DkQYKxkE5LDHfIxXvXh79l39nvwp8cNa/aT8O/CTRrTx14isltNa8TRW/+k3cIEY2sc4GfJiyQAW2LknFd1HbwRHdFCin1VQK+Iw/CeNpSbeLklzXsr663u9Vq+uj17n22fcR5Tj6ynhMNy3u5XUU1KbbcY2v7kPhjs2ru0b8qfRRRX258SFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXj/7Zv7dX7OX7BHw+0/4k/tHeKL6xsdW1Q2GmWukaNcahd3MqwyTyskFujSFIoIZZpHxtRI2YkV7BXwP/wAFuPDnxL0DxF8G/wBo/wAH/BbxX490jwevjXRtc0PwXokmpXyTa34Zu9Pspvs8eWMX2kpE79I1n3HgGgD7p8K+KPD3jjwvpvjXwjrEGo6TrFhDe6XqFq+6K5t5UEkcqHurIysD6Gr9eRf8E/8A4TeM/gN+wt8HPgn8RY9mv+E/hhoWk63FvDeVd29hDFLHkcEK6sue+2vXaACuZ+M3xe8DfAL4Va/8Z/iXf3FtoPhvTZL7U5rSxluZREgyRHFErPI5OAqqCSSAK6auQ+P3xA0r4V/BPxT8Q9b0TWtStdJ0S4nnsPDmjTajfTgIRtgtoFaSZznhFBJoAi/Z2+Pnw5/ak+B3hf8AaH+EV9dXPhnxfpEWpaJPe2b28rwSfdLxv8yHjoea7SvkX/ghTr2pXv8AwS1+FHg3xB8PvFvhjWPB/h+PQdc0nxl4XutJuku4FVnKRXKI0kX7wbZQNrEMAcg4+uqACkkkSKNpZGAVQSxPYUtJI4jjaRgSFBJAGSaAPEv2Sv8AgoV+zH+2v4j8W+DvgZ4i1h9W8FS239t6X4g8N3ml3H2e5Dm2vIo7qNGmtphHIY5lBVtpx2z7dXwF/wAEh/izqH7T37UHx7/aw+K/wg+I3g7xz4qvLHS9M0Hxj8PdQ0i00jwrp0tzDptvFc3MSR3dzM0lxdz+WSENwiDhMn79oAKKKKAPEbr/AIKFfs0af+2PZfsLalrOu2vjvU4pjpbXXhe8j0u+nhtVvJbSG/aMW8twluyytErllU84PFe3V+e3xn07xT8Tf+C6Pwd8U/C74P8AxcjvfANvrVl8Q9a8S6Vcf8IZHoU2kOYLvTZZC1uL2S7lhhLwbZisciSDaor9CaACiiigDyz9rD9sv4BfsVeE/DvjL9oDxVLplp4r8Y2HhfQUtrN7iW71K8crDEqICcfKzM3RVUk16nX5ff8ABwf8Ev22PiT4m8BfED4F/svL8TfCnhOXRms4bTxMLW60rXJPE+lyvcfZVglkuFa2tEtzMNq20VzcytuVWWv0706a9uNPgn1GzW3uHhVp7dZd4icgFlDYG7ByM4GcUATUUUUAeaftYftXfCv9jT4UD4xfF6216402TWrLSbWy8MaBPql/d3l3MIYIYba3VpJXd2CgKCea6n4SfEvR/jJ8NNE+Kfh/RNb02y13T0u7aw8SaNNp1/AjDhJ7adVkgcd0cAivCv8AgrD4Q+EPjL9lD7J8cfB3xd1jw/Y+K9M1GQ/A+1uJfENjcW8plt7qEW379VSZY8vD86kqeFDEan/BKZf2k0/4J3/Cdf2vG1k/EL/hGF/t4+JGzqW3zpPs32s9ftP2byPNzz5m/POaAPoOiiigCtrOsaV4e0i78Qa7qENpY2NtJcXl3cSBY4YkUs7sx4ChQST2Ary79kH9tj4D/tyeBL74k/s/3+t3OkWV+LdbnW/DV3pv2tGjWSK6txcxoZ7aVGDRzJlHGcHgirv7a3w18X/Gf9jf4s/B/wCHxH9veKvhprukaJl9oN3c6fPDCMnp87rzXx//AMG9Hhr9ofwj8FvG/h74m6b8WbHwXY3Hh608Fad8ZVnXVLW+i0O1j1uOBbj94lguoK6wKP3QVW8v5MUAfobRRRQAV8+fCP8A4KXfs8/GT9rLVP2LNE8NfEHSPHGmWOo33leKfh9qGmWd7a2VyltPcW1zcRrHcReZIgWSMlXDAgnIr6Dr5Q/Zz8D+M/iN/wAFUPj5+03408J6pYaT4T8L+H/hv8P7rUtPlgS9gVH1bVLm3MigSxNc3dvD5iZUtZkZypoA+r6KKKACvAvjV/wUw/ZI/Z+/ah8M/sg/Evxnqdt4x8UPp6Wq2vh+6uLGye/nkt7BLu7jQxWrXM0UkcQkYF2UgV77X5Qf8FI/g38cfFX/AAWa+H/jfw78CfHWrzR6h8O28A6zoGhSTeGZbW01q/m199dlUeV5ttayxy2hnO6N33Q/MTQB+r9FFFAH/9k=", "info": {"equation": "61+51=112", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "b3c557f77e075df7076a5d55d7b23e06d659a2ce43c1180044d7250c8ec0019f"} +{"episode": 999, "episode_seed": 394788752, "split": "train", "timestamp": "2025-10-28T03:42:52.637178", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 51, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 394788752, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 0, 7, 0])", "action": "('move', [4, 0, 7, 0])", "reward": 0.0, "image": 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", "info": {"equation": "9+8*1=17", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", "info": {"equation": "9+8*1=17", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "c9bfb9a07ccbe33163c6f9056e3a228f0d26cc6557450580514ca6cc2e769be2"}