diff --git "a/matchstick_equation/bfs/train/batch_000435.jsonl" "b/matchstick_equation/bfs/train/batch_000435.jsonl" new file mode 100644--- /dev/null +++ "b/matchstick_equation/bfs/train/batch_000435.jsonl" @@ -0,0 +1,100 @@ +{"episode": 43500, "episode_seed": 912823586, "split": "train", "timestamp": "2025-10-28T03:46:50.634845", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 912823586, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 0])", "action": "('move', [0, 1, 3, 0])", "reward": 0.0, "image": 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", 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lvbIQCdzSOq56AuM9DXTn2MpYPK6jmruS5Uu7eiX6+iPEwFGdbFRtpbVvskeW/A3xL4R8b/tsaZ4U8RQs0PhbSrt9Ckkiia3n15oYmmQMZNwmhsZ9yrs5FxMdw8uvsmvkHxt+zP4l+C3w38LDw9qkUniywvI9ebWJXXZN4gEjTXbM4h+WKbzZochNwikIAGBX1j4b1uHxL4fsvEEEDRLeWqTeUzqxjLAEoSpIJB4ODjIry+Fn9Vo1MvqrlqU3d+admn+n3HVmq9rOOIi7xkvut0LtFFFfWHkhX84n/BdDxh8eNS/4KjeLo/HtxqiSaLcWUPgSKSEhYtOCJJA1uBwwaVpGyMkyFs8ggf0d18R/8FFvgJ8Gvif8b9Q+IPxC+HOnaxrXhb4a2k/h7UL1GZrGT7Tqb7kAIUncisNwOCoIr5TjCi6uUpqTVpR+d9Pwvc/WPB3jbBcC8T1MbicN7aM6U4WVrpuzTV9LO3LLrZve1n9X/ALUfiBq/wACfBWrfFm2kg8VXXhLTZvE0M0AiePUGtY2uFZF4QiUuCo4HSutoor6mEeWCje9j8txFVV686iio8zbstld3svJbIKzPGk+v2vg7VrrwpD5mqR6ZO2mx7Qd9wI2MYweDlscHitOim1dWM4S5JqVr26PZn81f/BMXxz+0vf/APBXfwJ4pEusXfjfVfiFInjdru133LW8sjrqpnVx8m2EzluBs28YKgV/SpXxH8FvgJ8GvDH7c0Xxx0D4c6dbeLtc+Jfie31XxAiMbi4iEeqjaSSQo/dx52gZ2jOa+3K+U4RoOhhK0XJu1SS18ra/PqfrPi/xzguO85wmKw2F9gqdCEWtLt3btp9mN7Q621sr2RXkX7Wnwh/Yq+K+neGov2zdD8FXdtY61nwsfGV/FbL9tcD91CZHTzGcKMxchtoypwMeu1+C3/Bzd4p+Mt9+25onhPxfNfp4OsPCME/g2B49tq0kjH7XKhHDyeYiKxPzAJGOBjPp59mEMty51ZU+dXSs9vn/AFvY87wm4RxPGnGVPAUMW8NJRnP2kW+dWVrQs1q766r3eZ9LH7yLY2KKESziAAwAIxgCpQABgDAHYV+Xf7DP7TWp63+y34B8WfGz9ufVLbxM+lrLqNhqHj+xiIVJnEKyRMNwzCsWQx3HJLck1+gX7O2veIfEXhm61LVr+S7tJJ1fT7uSQuJVYbmKt/EmSCCOOT6VxZbxPhczxkcPTpyTabu7WVvRv+rdz5XO+Hq+SYuvQqVIz9lOULx2lyycbrydrryPQqKKK+mPnwr8j/8Ag6k8T/GGy8FfCzwppct/H4Dvr+/m1nyY8W82pxrH9mSVx/EImuGRDwcMRkrx+uFeAf8ABRX4XfD34zfCfw38O/il4Uttb0S+8bW5vNNuywjlKWl265KEHhlB4PavF4ipOrkldJ2tG/3a2+drH3PhtxJhuEuNsHmuIo+1hTk7x0v70XG8b6c0b80b21W63PBf+Db7W/ixq/8AwTgtbX4jQXS6XYeL9Rt/BUlzbBBJpmInYowGZEF292u491K9FFffNeRfsL+FvDngf9mvSvBng/RbfTdK0rWNZtdOsLVNsdvCmqXSoij0AH19a9droyaDhlNBXv7kfyPL4yziln/FeNzGlSVONWpOSiul3183vJ9W2zyj9unXvil4X/Y7+JPiH4Kvfp4os/CN5LpEulQebdROIzukhTB3Sqm5lABO4DAJwK+bPgJ440+P9qr4G+EfgL4ubU9HuPCmrnXILCSO6jPh0WEf2e6nfLNHm+hso0fI3s0q84bH3VXxH/wTb+AfwZ+DvxY07xJ8MPhxp2iah4n+HN1da/eWiN5l7N9o01tzlicfNI52jAyx4rxc6oSnnuBmpNavT01/HZ+R3ZJmWW0OH8VRr0uapFTcHZNN1Iez99vVeztz07J+9daX5l+WP/BwT4s+NWqf8FNPEml/EO41FNO0ew0+PwJDNGUjTT2gRy8AHDBrk3GX5JZSp+6AP3q/ZQ1f4oeIP2Yfh5rvxttriHxjeeCtMm8UxXduIZV1BrWMzh0HCN5hbKjocivmf/gpN8Bfg18XfivP4r+J3w507XNQ8LfDSS68P3N+jMbKbzrpt6qGCsd0aHDAj5Rx1r7TsSWsoWY5JiXJP0pZJh3Sz3HXk3rH/wAmu/w2XkfV8d8d4HibgnJMro4RUp4WDjKWmrSjH3ba2lbnnf7Xe13LX51f8HMPif4xaB+whpmnfDya/i8P6r4wt7bxvLZR5U2nlu8KTMOVja4WL2LBFPUA/orXkX7dfhLw348/Zd8Q+CvGOjxahpWq3mlWuo2M+dk8L6naq6HBBwQSOCDXt5zSdbKq8E7e6/wV/wAdj4rgjPKPDfF2CzOtSVWNKpGTi+qv0vpzLeP95I/IL/gh18c/E+kfCjxh4F8d/tUap4O8M6Tqls/hjTV8W2thF50wma7KLMCxGRCxA+UFiRyzV+mP7MOh+EfiB4v0PxH4M8b/APCRWmj6xc6jda3bapFe/abpoJ4n86ZMqXP2gkgYPA7V0/8AwT0+FPw3+EPw28V/D34ZeC7DRdE0/wAat9j06ziwke/TdPdjliSSWZiSSTk19ARxxxLtijVR6KMV8nk3D1avQw2KniZOK5ZqFtFbVJe9p92x7viBxfheJOK8dj8PhlSjWk7LS9rKN5WXxStzS1fvN6vcdRRRX3x+cnw58a/Hkdh+2x8WrL42+M5NM03SvBmkP4Ug1OeO3tY9Ba3dr67gLECQm98xJnOdvk26nAK7vKP2Yvjt4d8Y/syeEz8Zf22L+W61DQQmr6Lq/juwt1mtmLKkM0AClA0GwMnBG4g4Oa+9/jp+yd+zf+0zf6Bqfx7+Dui+KrjwveNdaDLqtuXNpIxQtjBG5WMaEo2VbYMg4rvzZ2hOTaxk/wC4K+Mr8L4ytj61eOKcFN30vf0eq0Wy30Pt8ZxHlFXKqNKlhv3tqam2opR9nDkXI1dv2nx1LqPvJfFueU/su+ERYnXPHu6UjWltII92PLZIBKQ6cc5M5GckfKMdDXrVAAAwBRX0uW4JZdgYYZSvyrfa+tz4/E13ia8qjVrhXJp8JNGT4jH4gi8fcT5n2PYNol27d+7rjvj1744rrKK1xGEw2L5PbRvytSXk1syKdapSvyO11Z+hgfEXwDZ/ELRE0q4vWtpIphLDOse7acEEEZGQQfUVpeHdDs/DWh2ug2BYw2sIjRm6tjqT7k5P41doojhMNDFSxCj78kk35IHWqOkqbfurWwUUUV0mYV4T+0x8Nm8eeOBo/wDZUiNr2iJpb31spMjxb5uMnKgp50jDjjcSeK92orzc1y5ZphPYOXKrp/c72OnCYl4WrzpX0aCiiivSOYKKKKAPCfBXw3ab9oddVOlSWa6NrmoaqywqRG8lxFcxlmLA5Dm5d+CMnpwCK92oorzcry5ZbRnBS5uaTld+Z04rEvEzUrWskvuCvPvj7+yn+zp+1LaaPY/tCfCHR/FkWgXxu9HTVoC32aUgBiuCMqwVdynKttXIOBXoNFd9SnTqwcZpNPo9ULCYvF4DERr4apKnOO0otxkrqzs1ZrR29CJbGxRQiWcQAGABGMAVKAAMAYA7CiirOcKKKKACvPP2ldFXV/A9pcPpS3P2DVUuVkIJNuwjkTzBj2dlOeMMa9Do69a5MfhPr2CqYfm5eZNX7G2Hq+wrRqWvZ3ON+APhBvBPwssdGcTB5bq8vZFnGGVrm6luCuMDABlwAecAZ5rsqKK0w1BYbDQop3UUl9ysRVm6tSU31bf3nlH7dOvfFLwv+x38SfEPwVe/TxRZ+EbyXSJdKg826icRndJCmDulVNzKACdwGATgV8O+PvjN4E8F/E74H+Hvhb+0i/hzSb7RdSW9vdL8RWkPn6Ctghhllnl3bc3cNqqkHLsJRztbH6c1518FP2SP2av2ctY8Q+IPgd8GdD8M3niu8F14gn0y22m8kDOy5ySFUNI5CLhRuOAK8HOsjxOaYulVpVnDkTXW6v1Vmtej1Wh9bkme5Vl+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+C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", "info": {"equation": "6*17=102", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "6*17=102", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "b3aa8d6c5593f515331927822a35185a5b6fe721172e98118f638e14803d9e24"} +{"episode": 43501, "episode_seed": 2561487927, "split": "train", "timestamp": "2025-10-28T03:46:50.692565", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 2561487927, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 2, 8])", "action": "('move', [6, 6, 2, 8])", "reward": 0.0, "image": 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WivYK8O/4KTeJPip4Q/Ye+IXiL4M3mrWuu22lQ5vNBt/NvbSxa6hW+ngXBPmx2ZuJFIBZSgIBIFe402ckQuV67Tj8q+tr0nWoTpp25k1dbq6tdeh+TZXjI5dmdDFypqoqc4ycXtLlknyvfR2s9HofAej+O4NN/aC/Z78Nfs3eLEvmudaeObT9Hlhu4pvCf2CRLi4mOWKQq8VqFmBAMgCgs3yn5K/4OmPFnxyPxv8Ah74G1CTUY/hv/wAIyb7S0EW20n1rz547glh9+VIDbgBvuLM2377V9df8E6f2cfgV8Fvi14A8X/Cr4X6XoeqeJPAF3Jrl/Zo5lvG8mxkO4uxwN7s21cDJHHAx7J/wUk+Dvwv+OuhfD34f/F/wVZ6/osnjGed9PvS4QyppV8UfKMpBBJ71+b4PCynwbWfO/ib+62no9/U/YeGeM8i4R8QsFj6WGdWlSjKLclFVG58z50k3FShflj72qT1jzWj4J/wbR6/8YtX/AGBbzTfiFDeDw7pvi+7h8Cy3VsEV7MhZJxE2MyILp5+TnDb1B+XA/RCvGP2BfC3hvwN+zfaeDPB2iW+m6TpXiXXbXTdPtI9kVvCmq3QVFHYAD6nqck17PX3WSwdPKKEW7+5H8Vf8NkfnHG2dUeIuLcbmVKkqUatSUlFdNetur3k+sm2FI6JIhjkUMrDDKwyCKWuI+NXxDh8KaG+g2Mjf2jqEJWHaB+7QnDOf1A9/pXRjsZQwGFnXqv3Yr7+y9XsfO0KM8RVVOG7Pl39rbx9/wrbSNTsPhjDdXmravfTWHhm3s7eKSYOI3lmljjeWNZBDDHNIAXAYxoDjdX1N+zrovwy8P/AjwjpfwZkik8LL4ftX0OeEqftEDxhxMxH3nk3F3bqzOxPJNfO/wT+DOofGB/EX7SF9bSqunG40TwDbu45tYZgt/dbfLDK088OxPmOY7aNhgSEHvP2KDrHgSfxB8JJjG/h86jLq3hPbIimyjnYSXNl5YRcKtw8sqHL/ACTbcr5YB+H4am8ux3JiIKH1hc0X837v3Pb07nuZmlicPenK/s3Z/wCf9eZ7/RRRX6GfOnxl/wAF7/F/xz8Gf8E2/FeofAybUYZLm/tbTxVdaXFulg0aQutySR8yIT5aOy9Eds4UsR+Qn/BFv4x+Pfh9+0xc+DrP466l4K8H6xpE8/iiW112GwhleGN/sxZ5sruEkgA2/MQxHTOP6Ptb0vRtb0W80XxFYW11p95ayQX9reRq8M0LqVdHVuGUqSCDwQTmvJP2N/g9+w38LvBWrQfsQaP4IXQ73VA2s3Pg3VIr+OS6WNcJJMkkh3KjKQhb5Q+QBvJPymcZDiMxzOnXp1/Z2Vut1/h1W99dT9r4T8SsDkPhhmPD1XL/AGs60rqpZcq5kkvaNpvmhy3p769rXfylr3hj9kj49+IBqXxZ+KuhfFG803R7qO2i8YeLrXVE0yzYA3UkUQYJACAm+faGARPnXaK97/4JL33iS6/Y6sbG/lvJvDum+JNWsfh3dX1usbz+G4bp005xjG+PyQAjn70aockEMcb/AIKFfs7/AAQ/aB+LPw68O/Gj4Z6b4isbDQ9dubO2vg4WKU3GlKXGxlJ+UkYORz0r2L9jC0tbD9lPwDYWNtHBBB4at4oIIUCpGirhVVRwoAAAA4AFcGQ4Gpg+I8RTnVc3GKu31vZ66vbZanx+Y53Rr8IUsIuaUpTvyytyUlHn0p6t3nzXl7sErWtK916dRRRX3R8IeJfHT4G/sDeOv2gvB3jb9oPw34BuPiTatCvgt/EGoQxajOY5i8SwwtIpuNspJUbXwxOOTXtJs7QnJtY/++BX8yH/AAVf+IH7Qupf8FJPiRrnxi1XWLTXtC8XzweGXm3QSWWlwzs2nNb7cbE8kxyqy/eZy+dzE1+pv7N37SU/iD4EeCvFPxh/bx1O38VXnh6zufEFpP8AELT4dl0yBnVogvyc9V7dOK+Ghxhg8Piq0J0GrSteKV3bS8ttfvP3Lj3wtzHhvhjKcdUzFV1WhpBt2p3Snalq7w11aUdbO3vafpKqqg2qoAHQAUteVfs2+L/EfjIXusy602p6TdQJcWt+J/NikZ/mBicZVlZTn5TjG3HXn1Wvqssx8MzwccRGLinfR+TsfiuKw8sLWdNu9gr84/8Ag5k8XfHLw3+xNoumfDafUYPC+reKFtvHs9hH8pt9m63imccpE8wGezMEUnkA/o5XO/Fvwv8ADHxr8MNf8LfGnTtKu/CV5pM6eI4dbZVtPsewmVpWcgIqqCxckbdu7IxmnmWFljcBUoRlyuStf+unfyPoOCc9o8McWYPNKtH20aM1Jw79NP7yveP95I/BD/ghr8bvHHhPxd4v+HeuftH6p4K8DDSv7QFvF4mt9Pgk1VpYY1ZTODlzCsmQnUIu7otfdnj34ffsP/Gq18R+NvjR4+8O/EOeLw+INX8QeJ/FFtqdxpWnKxKiJwwW0USEsGQKWdsEnOK+2f2U/hj+yj8NfhDBoH7H+keFIvBkt9PcQv4TvI7u0muSwWVzMjv5j5UKSWJAQLwFAHzd/wAFBf2a/gL8av2hL7xD8WPhVpOvXnh74Z2c2jTX8bEWzm61NyQoYK4LRocMGHy9OTn87zXIMVl2Te1niXKKt7qvy6vpr59j9I4g49wXE3iLWzOnRqYOMtG4Je291Je8uaC5pNK/vPl00k1r7l/wTm1z4qeJP2H/AIa6z8aFvv8AhIZvDifaH1S0EFzLbh3W1kljAG2R7YQu2QDljkA5Fe11znweYt8JPCzMck+HLEkn/r3Sujr9Mw8HSw8IN3skrvd2W7PxzM8XHH5lWxMYKCqTlJRjtHmbfKvJXsvIK/Ka2+K/iaP9gvxd4u8c/EHVIPi7c6nqB1mKcRHVofGYvG+yWEdqc/MJYLaOGFVObeNCoK/Mf1Zr4D+Pn7OXwL139rXxj+0DrXwu0u58aab8S/DsVh4inRmngVYdFVdo3bMhXYBtuRng5Ar5PjLDyq4ehJTatNLT+919VbT1Z9VwbmWV4P21LG0nJXhUTSi23T5v3b5rWhU5/eau1yxfJLYof8F9vGv7S+g/8EtdNufCKajazavqOmWnxRfTrcZhsJbWXz0kK58uJrvyI22nBD7CdrEH48/4Nc9f+MVt+1R448N+HYLt/A914QWfxQ62waCO+jmAsd0hHyOVe7CqD8wD8Hbkfr7+2zpWna7+yN8RtD1izS4tL3whe293byfdlieIqyn2IJH415L/AME9vgR8Hf2fPin488G/BP4d6d4b0y58P6LdXFppytiWY3OqLvZnZmY7VAGTwBxipx2Fl/rbhZc71i//ACVP8+vzPuMl8R8vwPhJmPDksFF1K07qaty2k4u8lvzQt7lvLbl1+q6KKK+0PxAKKKKAPnex+FX9s/G6GxOkS2KWXi99dmFspCGQTSTFyWB+V3Yk+pJxivoiiivKyrK45XCpFTcueTlr59P+CdWLxTxUotq1kkFeHf8ABSbxJ8VPCH7D3xC8RfBm81a11220qHN5oNv5t7aWLXUK308C4J82OzNxIpALKUBAJAr3Gjr1r0K9J1qE6aduZNXW6urXXoaZXjI5dmdDFypqoqc4ycXtLlknyvfR2s9HofmJ8ffjL4L8A+I/gZpXwe/aBj8Nw32urbJdaJr9pGJfDP2OQTyNNIWCRboLcLID8zqVBJ4r1Hw38Rfhj4u8U6faf8NTHxnqMUkjaRpmoeNrS+aOUxOrSRRRYYv5TSLnnCs3HcfTnwN/Yy/ZY/Zp8Qa74q+A/wADdA8Mah4lcNrV1plqVa4w7OFGSRGm52OxNq9OPlGPSltbVGDJbRgjoQgr4ajwdjVhvZSxbSd7xSbj/wClK/nofTZvxBk9StTjgaDcYL45qMZybbeqjzJct+Ve87pX0vyrjP2ePBLeAfhdbaPIJw91qF9qEiXIAZGurqW4K4wMAGTAB5xjOTXb0UV9vhaCwuGhRTuopL7lY+Pq1HVqym+rbCuR+I3wi0v4h6ha6lcanLayQL5cpijDeZHknHPQgk4PI5PBrrqKnF4PDY6g6NePNF9PT0HRrVaE+em7MitbK2s7KPT7eILDFEI0QdAoGAPyrkvBHwZ0bwT4mn8R2uoST7lZbWF4wBArYzyPvHsOnB7nmuyoqa2BwlepTqVIJunrHyCFerTjKMXpLfzCiiiusyPjL/gvf4v+Ofgz/gm34r1D4GTajDJc39raeKrrS4t0sGjSF1uSSPmRCfLR2XojtnCliPyE/wCCLfxj8e/D79pi58HWfx11LwV4P1jSJ5/FEtrrsNhDK8Mb/ZizzZXcJJABt+YhiOmcf0gaxpGleINJutB17TYL2xvrZ7e9s7qISRTxOpV43VshlZSQQeCCRXA/s9fsj/s2fso6DqHhn9nj4PaR4VstVu1utSi0+JibiVVCKXeRmYgDoM4GWIALHPyub8P4rMsxhiaddwSVtL3XpZre+uq+Z+z8K+KGV8P+GuYcNVsCqlTESbjPTl95RV5315qfLena+ttrXfzL4E8dfD3xl4vh/sf9og+O9bitJI7G3uvFttqM9vCzxtKIo4cEBmjh3HB+4nTv9cfBPwSnw4+Enh7wNHJMw0zSooc3BG/gc5wAM8+ldKltbxNujgRT6qoFPrpyfIp5ZialepWdSUkldrt53dz8pxmPjiqcYRgopdv+GQUUUV9CeceZfFH9jT9lr41fFfQvjl8VvgfoOu+LfDXlf2Jrl/bFprbypDLGOCA4SQllDhgCTjGa9JNnaE5NrH/3wKkoqI0qcJOUYpN76b+vc6q+OxuKpU6VarKUaatFOTait7RTdoq+tlYRVVBtVQAOgApaKKs5Qr84/wDg5k8XfHLw3+xNoumfDafUYPC+reKFtvHs9hH8pt9m63imccpE8wGezMEUnkA/o5WN8Qvh74J+LHgfVfhr8SPDFprWg63ZPaarpd/FviuYXGGVh+oIwQQCCCAa4sywksdgalCMuVyVr/106PyPp+C8/ocLcVYPNq1FVYUZqTg+q8r6cy+KL6SSZ+A//BDX43eOPCfi7xf8O9c/aP1TwV4GGlf2gLeLxNb6fBJqrSwxqymcHLmFZMhOoRd3Ra/THwRqfgL4o32q6X4W+NZ8daxqGnLZ3VyfEkGpXcNt+8VEHk/cQNNIwyv3nPJ6V9VfAv8AZx+Bv7M/gNfhj8CPhlpfhnQlu5Lo6dp0J2vPJjfIzMSzsQqjJJOFUdAAOzjggiOYoUUnqVUCvkIcG4qWGVGri3y9YpNx+V5fp8j6nj/j/AcW8W4jNsLhFSjOyV7czskuaVlbmdtbN9ru1yj4Q0KPwt4T0vwzFI7rp2nQWqu5BZhHGqAnHGeO1aNFFfdpWVj8wbuwr8nr340alon/AAT18c/EP4p/FW+0v4oC61SbxLcX00MepWPi5Ll2t7VYGyEKSQW6QxBcfZ4kZQVG4/rDXmWrfsZ/sta7+0FbftVax8D9BuPiFZoi2/imS2JuFKxGJWIztZ1jO0OVLABQCNox8/xBk1fOIUlTqcnK7/8AB9VbT1eqPruFs7yjKo1YY+i5pyhNcqi23T5/3b5rWhU5/eau1yxfJLY+QtF+Mfw88R+CNPsPib+25NqTXelW41/R9R+I1g1vcSNEpmhkRMZQtuBUEccZr6o/Zf8ABpttd174ku02dVsLKxj3AeW6QSXMm9eMnJuSCckfKPQ1699is/8An0i/79ipAAOAK58Bw3WwmYQxVbEyqOKdk13Vt3Jnj4vNIYilOnCkoKTvptvfawUUUV9SeQFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRUGq2kuoaZc2ENy0LzwPGkydYyykBh7jOaAPnj9nf8A4Ku/sRftS/tCan+zL8G/idd33iWwW+axkutCuraw1tbKbybw6ddyoIb0QSHbJ5TNt5PIBNfR1fip/wAErf2b/wBpmw/aJ/ZC/Z48Y/s3+OPCl5+yTZfEiP4oeLtb8Py22kX7arczLYrp143yX4uBKsreWTtAO7pX7V0AFFFFABXhv7bP/BRP9mD/AIJ+aV4c1b9pLxFq9knirU/sOkR6P4eub9i++KMvIYUZYYw80K73KgtIoGScV7lX59/8HH/i3Vpf2DYvgp4P+Efj/wAXeIPFfi7RrzTbbwP4GvtYWGHTtWsbq5Nw9rG4t/3QYpvx5hVgucHAB+gasGUMOhGRS1zXwd+Jui/Gb4X6H8U/Dmi63ptjrunpdWtj4k0WbTr+BG6LPbTqskL8co4BFdLQAUUUUAUPFXifQ/BPhfUvGfie/FrpmkWE17qN0yMwhgiQySPhQScKpOACeOBXh/7IH/BTL9lL9t7xx4k+GHwV17xBbeJvCtnBfar4d8XeEr7Rr37DOcQ3kcN5FG0kD8YkAx8y+oz7V458UweBvBOseNrrSL/UItH0q4vpLDSrRp7q5WKNpDFDEvMkjBdqoOWYgDrX5y/8EZvijrH7Vf7ZfxY/bW/aM+DfxN8H/FnxnoCabo/hrxR8MtT0nSvCvhKyuwLXT0vrqFIr29lklFxKVPchFCo1AH6X0UUUAFFFFAHzv+2b/wAFRf2TP2CdestD/aL1bxTZpcWcV5f6ro3gnUNRsNHtZZ/Ijnvrq3haK0RpAVXzGBO04FfQOm6lYazp1vq+l3aT2t1Ak1tPGcrJGwDKwPcEEGvzK/4OL7C4+Ofwui/Zv8D/AAK/aD174kRWVvf/AAyl+Hui3dx4T1i/mvoM22sbCbSVIfsqOUvVCqspMZO5q/ST4exeJ4PAGhweNbe1i1lNHtl1eKyUCFLoRL5qxgcBA+4DHbFAGxRRRQAUEhQWYgADkmivE/8Ago34Q/aW+IX7EfxF+H/7IUUL/ELXtAbTtD87VEsSqzyJFcMlw4KwSi3aYpIQdr7Tg4xQAv7Gv/BQX9l/9vmLxvd/sw+NbjXbX4f+LJvDuv3r6dJDC15GMkwO4AmjI5Ei8EEEda9rr8yv+DfX4WftJfBP4t/tM+A/it+xL/wqDwvJ490+Xw9ar4jN9bxtDpltai0tZPs0IvYViiRzeJ8rOzJt3KSf01oAKKKKACvnP4lf8FQP2dfhn+1VN+xxc+EPiVrvjKzfShqp8JfDbUtVsNMXUSRayXV1bRNFbIwDkvIQAI3JOFOPoyvyW/4KoeAPiFpX7dr+P/2FPAn7TOl/tE694v8ACEEOt6Da3cfgDVtFtgonN/LF/okkMcEt0jrcnzFkzsG1skA/WmiiigAooooA5D4+fHr4S/swfB3X/j58dfGlr4e8J+GLA3es6td5KQx5CgAKCzszMqKqgszMAASRXP8A7KX7XHwm/bI+Hk/xI+Eln4ls7W0vzZ3lh4u8KXmjX0EnlpIpa3u40k2NHIjq4BVgwINfO/8AwcE/s7fGL9pj/gmX4n8E/A7QdY1bW9K8R6HrsmkeHRu1C8tLLUIZ51tl/jnWNWkRP4mjAAJIFUf+CG1v+0HH8Ovixc/ESf4sN8N5/idM3wUHxwe6bxKNG+zReabj7Z/pIiNz5vliX5sBsfLigD7looooA//Z", "info": {"equation": "10*3=30", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", "info": {"equation": "10*3=30", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "ffed3d83a993f6a40e8468068f23d25b410b99d54e1562788eab7dbc633758db"} +{"episode": 43502, "episode_seed": 2276426956, "split": "train", "timestamp": "2025-10-28T03:46:50.761096", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 2276426956, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 1, 4, 4])", "action": "('move', [6, 1, 4, 4])", "reward": 0.0, "image": 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", 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o8lSNtLpyi7NX08n/AHXLfZ/Snwyu/FV/8N/D1946gaLW5tDtJNZieMIUujChlBUcKQ5bgcCtyiivoYrlikfndWaqVZTSSu27LZeS8j+cr9hH4wfGzSP+CrPiDxH8WPi3q3g/Wdb1HXbf4iatNqUOnzIQZJGgkeYbYwLmKBQg6bFUcV+jVvo/wauPjl8PfjR8JvGVp4s+I998WNItT4si1W31XU7q2dBBf2zyqTtt00v7QzIoAQIJMBjuP2b8OPhZ+yb4e+Pvjrxx8L9D8JJ8RtWW0/4WDLpl1FJqIBTMH2mIMWh3qNwyq+ZgMdxGa8b1b4NfCtf+CkEHxuHgWw/4S2LWoNNi17Y3npaHQnYxDnaASTyBnBIzg4r85rZBiMBOjOWIck60VZXtdy33+Lvpv1P3HinxGwPE3EP1+nhJYdRwsabikv3lo35Zar90+ZJfFenGPu6+79ZV4n/wUg1/4n+Fv2Dvix4h+DUl4niS08EX0mnS6em6eL92fMkjHXesW9gRyCMjkCvbKbLFFPE0E8aujqVdHGQwPUEdxX6FXputRlTTtdNX7XW5+M5ZjI5fmVDFSgpqnOMnF7S5ZJ8r8nazP58f+CJHjHxxPZ/FTwLdeI7r/hGbLwNf6ha6e0y+Vb30ohjknUHlWaOKME9MRrnoK/bX9kzxpqXjnwtLrUXjFvEOlPb2/wBi1k3q3K3DBSrMsqfK5O0bivGfTNeP/Hr9nX4Ifsy+DLL4f/AP4aaZ4W0afQfEt9Np+lRFUe4kWxDyHJJJIVR14CgDAAFfW9miJaRKihQIxgAYHSvhsgyWvg82nGVZ/uuW6V7S5ou3X7PTT7j7/wASuL8Fxjn1fNcNh/ZwrvRO3MuRRjd20vK13Z9d3uSUUUV98fmR8nf8FwPEHxQ8Nf8ABMT4n6h8KJbyO9ksLa31KWwTdImmy3UUd505CGBpA5HRCx4GTXzp/wAGt2q/EW7/AGSvHmla9Fcf8I1aeOFPh2SWABDM9shulRurAEQEjoCx9TX6CftNadY6x+zj4+0jVLVZ7W78G6nBcwP92SN7WRWU+xBI/GuA/wCCfvwv+Hnwa+Fev/Dr4WeEbPQ9DsPF8v2TTbFSI4y9nZux+YkklmYkkk8185Xot8UUanM/4ctOmj/+2/BH6XgeL8JhvCrF8OPDJ1KmIhUVTTRKK073XLZdOWctuvu9fip/wdSeIfiiPjH8LPDFzJeJ4MXw1dXengR4gk1T7QUnO4fekWEW3B+6JOPvtX7V15n+0t8MP2UviZp3hi3/AGq9G8KXdtY+KbabwoPFV3HCp1bDCFIS7r5krDdiIZ345U4rtzvATzLLp0Iz5W7avbRp6nJ4YcV0OC+M8PmtbDuvGCmuWNub3oNXjfqr/dc+F/hD4h+Ff7RnwP8Ah9pH7Tn7Qdt471afQrC/1Pwf4o8YWVzanUvsf7xns0wGZN8pCtkIecZUEfYn/BOLUdX1P9jfwjLqN9eXVpC2oW/h26vl/eTaNFf3Eemvn+NTZJbFX5LoVbJzmoP2/vhJ8NPjJ8JNF+HvxQ8GWetaLfeL7U3mnXQYJKUhuHXJQq3DKDwe1d1+y1Y2Wlfs4eB9L0y0jt7a18MWcNtbwoFSKNIlVUUDoAAAB2ArxMmy+tl+e1YVKzqP2a1fnL1e1tPU482zyhmGQOnCDg51nNQVuSCSlpDX7TnquWKShHWV/d72ud+LMGmT/DvVRqzYiW2LKwUEiQEbMZ77sfnXRV4x+2F8SLzw74Nl8P8Ahu0a71PYskFovSa4dvLtos4ON0zJk44HPIr3M7xMMNldVyV7rlS7uWiR8tgacquKilpZ3v2S1ON/Yl13w14y+NfxC1d4ydS0e2s9K0p5Y48NZLJN9okhYOWYNeJJFICq4NrF1619M18y+EPg/dfs4fGLwHaeHrrzoLPTW0zV55pI1a9t7pVaeUt5Yy/22KObA2fKz9yFP01XHw1JU8veFkrTpNxkvndP5pm2ZrmxHtU7qaTX+XyIdQa5SwneyXMwhYwjHVsHH61/Od/wTO+MXxi0n/gpF4i174sfGTVvB+p6+usj4i6tPqsOnztcB2kaKWSYYQ/a1jGwc5G0cZr+jevMvhR8LP2TvC3xl8f+L/g7oXhKPxzrN3bP8RpdHuopb7zirtD9qjViYWYF2AIXecsdx5p55lFbNKlF063s3Bv11XTVaq3fZs+74H41wvDHD2c4Grg/bPF0owUrK0LSavK6dl791/fjBdbr418P6L8Hh+0V8NfjF8G/Fdn4p+IWrfFK2tr3xXBqkGqalqFm1m0WoQzzKTiCLT1DbQAIvLiIALZb9F6+UbT4M/Cq0/4KTTfG628CWCeLZ9c/s2XXgh882g8NhhF12gZA5AB4xnFfV1YcL4aeFo4iEpuTVWSu+tra9d+p83xLmVPMKeDjFyfJSSblurtvkjq/chtHbq7RvZR3lraX1pLZahbRzQTRsk8MyBkdCMFWB4IIyCDXnP7LXwz/AGV/ht8JofDv7I2keFYfBzX9xNCfCl5HdWj3JfEzeajuGcMu0/MSNoXgAAcT/wAFUvEHxQ8Lf8E7vi5r3wbkvE1+38ITmCXT4900VuWVbqRO4K25mbcOVxuHIFfkn/wQt+MuteG/Bfj7wR4t/ac1LwT4atb6zutGsIvFdtp8Ul5Ksi3LqJgSx2RW+ccDA7mqzjPsPlGOpwqUnK8W7q11rsr+muvY+myDgfF5x4c5hntPF8kKNWnF0ru09lzNXtde09zR6c+x+9aqqKERQAOgApa8t/Zb8Yal428M3OtjxU2uaZKIW0/Vvta3CXHykMySL8rg4UkrxkmvUq9jLsbDMcHHERi0pX0e+ja/Q/OMTQeGrOm3ex+b/wDwc6a/8T9J/YY0DSvCEl4nh/U/HNvD4ta2TKNEsMslukpHRDOiMOxdE74B8P8A+CaPj7wf4+/YB0H4aftC/tNTQaZLJd6afBN/41tbO1n0tZiqW8kGVkMT/OpUsN6kjlTz+rn7Qvg34FeP/g3rnhT9pey0OfwPc26HX08SXSQWQjWRXRpJHZRHiRUIbcMMBg5rlfjh4A+FKfsVeIPh74P8O6S3g9vAT6fpthYBWtH0023lpHGUODGYiACDyDkHvXzmc5FiMXjamKhiHBcmyvfS+m691/nfQ/UcHx3haXh3heH/AKq1Up4l1fbK3b7L0ftFfuvdjHXt53/wTP0jR/Cr/FnwV8O9Mt7PwVpnj9BoVpYWscdnbXklhbSajDb+XxsW5YllHCStIgxtKr9RV4f+wN8N/Afwi+D+qfDr4ZeFbTRND0zxVdJYaZZKRHCGihdsZJJJZmYkkkkmvcK9nIIuGS4dXv7qf36/hsfB8S4ynjs8rVoXtdK7+KXKlHmlZv3p25pav3m9Xu/xB/4OkvFHxWh/ae+GugXVzexeE7Twc95oICYgOptdyLdMp/ikWNLPIP3Qy4+8c/SvgnVvgx+0b8LfBemftN/tAWfxA1FtDtdQ1Lwt4q8Y2V1ax6ibEi4lNqhUb41kuMZyIwWYYKhh9u/tFfDH9lL4jX3gyb9p3RvCl1caX4pgm8DnxPdxwt/ax/1SW4d182Vto/dDdv2jKnAxxv8AwUG+Dvwu+NHwy8NeAvir4Hsdc0e48ZxSzafeKwR3SxvWQnYQeGAPWvmM8yLEXxWMWIai1flV9bLZ6rTto9D9Jq8e4PH8N5Hk6w0qMsK6idaKXM+eWrp6xu7azvKN5dTT/wCCc93rd5+xR8P21qS6eOLSZINGlvYBHJLpMdzLHpzkDg7rJbZg38QIY8mva64z9nG3t7P9nzwNaWkCRRQ+ENNSKKNQqootYwFAHAAAxiuzr7XBw9ng6cb3tFK/yPynNcVHHZpXxMY8qnOUrduaTdum17BXkP7T3gRvHGpaLpn9nOftkFxp4vIATJGszRl1HUDhA3I/gPYGvXqKyzLArMcHLDuXKm1r6NP9Dnw1d4asqiV7X/FWCiiiu4wP5zv2D/jV8dtE/wCCqPiPV/ir8ZNa8Han4g1PW4fiRqMmqxafJuQyyeTK03yR7bmOJQoGRgKuBkV+wv7LcfhH4j/EOx8ReFfik/jA6Zqkl7qWtLrcOoSNN9keBEmli+UYR1AXg4A/H3Xwd+zb8CPh/wDFXxN8cPBnwt0nTvFnjIRDxNrtvBia/EYwm/JwOgJ2gbiAWyRmu1jiiiBEUSqD1Crivi8HwpiaFeFSpiW4xnzcutnZ3XXd9dD9T8RvELAca5rDF4XBqilQhSe28U77LZN8sdfhjG6WydRRRX2h+WHkf7VHgk+NoNJ0wac7m6iu9PF1ApMkQuBGGUdQM7AeR1T6163GgjjWMHhQAM0tFcGHwKoY2tiOa/tOXTtyq34m9Su6lCFO3w3+d2FFFFd5gYnxJ0sa38Ptb0ZtPW7W70qeF7VgcSq0ZUrxzyCelcv+zX4ZfQPBF7qEglDaxq73pWUYx+5ihGOOhEIPPqe2K9DorhngVPMYYvm+GLjb1ad/wN1XccM6Nt2nf0CvxX/4OnfFPxYs/jV8KdBF3f2/hCHw7c32lvECkJ1YXJWZg46yJCLbGfuiTI++a/aiuK+NP7OXwN/aLtNGsPjh8MdK8TQ+HtZj1XRo9UhLi1u4wQsi4IzweVOVbuDgVhnWX1Mzy+WHhLlbtr6O+p9t4acX4TgbjChnGJoe1hBTTirX96LjeN9Lq/3XPh79mL4yWXxI+Gfw9vPib+1Tc+KPGF54fsbq98O6l4ytLg/2m9qDLi2iw3mKWkG0Z25PHFfe3wo8MDwX8M9B8KBpD/Z+lQQnzsb8hB1wBzW6trbI29bdAw6EIM0+uXKMkq5bXnWq13UcklqtkterZ8zmuaQzKrKUKSppycrR2V+i0Wi2Cuc1H4baXqPxAtPH8t04ltodptwg2uwyFbPUYBPHsPQ56OivYr4ahiVFVY3s1Jeq2Z5dOrUpNuLtdW+TOc8YfDfS/GGv6Xr95dPG2my7mjVQRMoIYKT2+YDn0JHuOjooopYahRqzqQjaU2m33srL8AlVqTioyei2IdQa5SwneyXMwhYwjHVsHH61/Ol/wTM+Nnxs0b/goz4l1H4q/G3WvB174jbV2+JOoTaxFp8kl0jSSbJmmG1XF1tAUDIyVGFLCv6M64jwH+zd8Cfhh8RfFXxb8AfC3SdK8SeNp45vFWsWtvibUZI921nJJAOWYnaBuJycnmvHzvJ6+azoypVXT5G9Ve+q3VmtdO+zZ+jcE8c4HhXIM4y+vhVWljacYRbt7rTe9+lpcyt9uEfVeJfspR+FPiF8QbLxZ4V+JjeLhpd/Pd6hri6zDfvLcGza2CTSxfLkRyIAvBwi++fqSmxxRRDbFGqj0UYp1dWUZZLK8NKlKo5tycm3vd28327nwOMxSxdVSUeVJWsR3dpa39rLYX1tHNBPG0c0MqBkkQjBVgeCCDgg1x/wQ/Z2+CH7NvgVPhn8C/hppfhrQku5boabp0JCGaQgvISxJJOAMk9FAHAArtKK9Nwg5qTWq69dTOOJxMMPKhGbUJNNxu+VuN7NrZtXdm9ru24iqqKERQAOgApaKKowPzf/AODnTX/ifpX7DGgaV4QkvE8P6n45t4fFrWyZR4lhlkt0lI6IZ0RvQuid8A+Qf8EtfjXba5+xH4W0D41ftZXln9mmuNPs/Cuo+NbS3hOmxSeXBA0D4k8sqCoBIJUADjFfq38XPhD8M/jz8PNS+E/xh8G2XiDw5q8aJqWk36ExThXWRc4IIIdVYEEEFQRV/wAIeBfB3gDwppngbwX4as9N0jRrCGy0vT7WELHbW8SBI41HYKqgD6V8pmfDuKzDMZYiGIdNOKWl7+m606+p+nw49wEfDWjw08InVp15VfaaWacWl0vza2fTljHXty37OPhh/DngKa6lEofVtUlvmWUYxuVEGBgcERg8+vpiu+oor6HBYZYPB06Cd+RJX72R+a16rrVpVGrXdz8RP+Dojxj8X9M/an+GOmpqOo2nhnT/AAk2oeHJYcxxrqv2xxcyI45Mqoln7qCpGNxz9Z/s/fFrS/iN4P8ABLeOv2o7jxZ4tutCtLm58P3/AIws7pl1J7MeeUtoQG8xd8wwM7QW444+0/jB+zl8Dfj/AHXh68+M/wAMdK8Ry+E9ZTVfDr6lCXNjdpgiRcEZ6DKnKnaMg4FdktrbI29LdAR0IQZr5jG8L4nG42tVWJcY1LaK7vpaz1Ssum+h+m5x4g4DMeDMpyang1Gpg1U5p6e9zyuuXS6vvO+8tUY/w18OL4P+Heg+E0aQjTNGtrUGXG4+XEqc4AGeK26KK+upwVOCiuisfl0nzSbCiiirEFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFeN/Hb9vb9mL9m/47+A/wBnD4teOZ7DxV8RrgReH7aHS55oY98yW8L3U0alLVJbiRII2lKiSVggya9kr8zv+CqvwT+N/jH9v7w7pngT4PeKNesfin4c8BaJpfiXR9Jeew8P3Gg+OU1u/kvpl+W0T7ExkjZ8CR4ii5bAoA/TGiiigAry7wB+2J8DfiZ+0742/ZD8IazqE/jT4faVZah4mtpdInitoobrPleXO6hJjx8wQnaeCcggeo18XeB/itHd/wDBdLxv4cX4WfEGK0k+Buj6BF4pufAl/Hoct/bX1/qEsaaiY/s7gQXkABDYMm+MfMhFAH2jRRRQAyeeK1ge5uJAscaFnY9AAMk15D+yN+3Z+zt+27Z+J7j4D69q00/g/Vo7DX9O17w9daZd27SxCa3m8m6jRzDNEwkikA2uvIr164mW3t3uHRmEaFiqLkkAZwAOp9q+If8Agjd8TtQ/aH8TfHT9qT4i/C3x/wCEPHXj3xxbTaroPjXwJfaNFpejWkUtno9lbyXUSLeuttA888seQst4V4AXIB9w0UUUAcz8ZPi14R+BPwv1r4u+OxqDaToNkbm7i0jS5r67lGQqxw28CtJNIzMqqiKWZmAArH/Zj/aW+Ev7XvwT0f8AaA+COsXV74d1s3CWzX+ny2lxDNBPJbzwTQSqrxSxzRSRsjAEMhqP9q/xXofgv9m/xnr3ijwz411fSxoU1vqdl8OLeeXXfs0+IJZbJbZlm86NJGlUwnzV8vKZYAHxX/gil4G8ffDj/gnR4N8KePvB2vaCY9X16fQNO8WWX2fWBo82sXk2nyaghAYXj2rwySlxvLuS/wAxagD6sooooA84/a1/av8Agn+xH8ANe/aY/aG8SS6V4T8OLAdRure0e4lLTTxwRJHEgLSO0kiKFAzznoK9CsruDULOG/tiTHPEskZIwSrDI/Q1+f8A/wAHGPwY/ak+Nn7GA0X9nz4E/wDCxNK0u01q/wDFGgW2sC2u0k/sqe3srqCERSvfPDJcSTLaooaSSOLDKV5+5vhVdeKL74X+G73xv4aTRdam0GzfV9HivRcrY3RhQywCYKolCPuXeFXdtzgZxQBv0UUUAeO/Ez9uD4O/Cz9qHwx+yHrHh/xnqPi/xVpsGoWreHvBl7f2FhazXEtvHNe3UKNHZxmSGQbpSo+XrXsVfAP/AAUO8JeMf+HlvwJ8cfs+eFPjTD8R5dc8P2Gq654dgnHgy48Hx6heS6vb6pIn7kypDLIyJN82+SAxZO/H39QAUUUUAeTeC/21/gD8Qv2o/Ev7IHhDXNTvfGHhGxWfXni0G5/s23kKQyNafbtn2drpYriCRoA+9UlViOuPWa/MX9hn4MftS/B//gtb8XYpbH4nW/hHX/Eni3xB4rl1Uz/8IheWF6ujSaFJYbv3LX4kGoxzFP3gSHa/yiOv06oAKr6vqcOi6TdaxcwzyR2lu80kdtC0kjKqliERQS7HHCjkngVYooA8R/Y3/b8+Bn7ccvi6y+EOi+NNLvvA9/a2fiTSvHHgu80S7tZbiEzwgw3aI53R4fp0ZT0YZ9ur5h/4JdeDPF3/AAg/xS/aH+InhbU9I1v4ufGvxD4gFjrVjJbXcOl2866VpiSRygOgNjp1vIoIHEuRwRX09QAVxP7Rv7Qvwu/ZU+C2u/H74zavcWXhzw9BHJfS2djJdTu0kqQxRRQxBnllklkjjRFBLM6gda7avmT/AILF+EvGnjn/AIJz/ELwv4H8F6z4gmuG0ltT0vw3ZNcao2lpq1nJqEljGoLG8jtFuJISnziWNCnzBaAPYf2bP2jPhZ+1l8FtF+PnwY1a6vPD2urOLVr/AE+W0uIZYZ5LeeCaCVVeGWOaKSN0YAqyEV3VfL//AARu8JeL/BH/AATz8F+HfF/grXfD4j1PXZdE07xXZNb6v/ZMus3sunzagjgOLyW0eCWYyfvGkkZn+YtX1BQAV47+2J+3j+zT+wh4c0HxR+0j4yutKtvEerNYaYthpM97IdkTTT3DpAjNHbwRK0kszAJGgyxGRXsVfnj/AMHEPwE8efGL9n/wzffBdPiCfHjJr/hbw5D4H8CjXYb+PXNLksbixvsuv9nwTLsH285WDYSRlloA/Qu3uILu3S7tZkkilQPHJGwKupGQQR1BFPrA+FXha+8DfC/w34J1S5Wa50fQLOxuJlORJJFAkbMCfUqTW/QB/9k=", 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", "info": {"equation": "19+16*5=99", "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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5tDtJNZieMIUujChlBUcKQ5bgcCtyiivoYrlikfndWaqVZTSSu27LZeS8j+cr9hH4wfGzSP8Agqz4g8R/Fj4t6t4P1nW9R123+ImrTalDp8yEGSRoJHmG2MC5igUIOmxVHFfo1b6P8Grj45fD340fCbxlaeLPiPffFjSLU+LItVt9V1O6tnQQX9s8qk7bdNL+0MyKAECCTAY7j9m/Dj4Wfsm+Hvj7468cfC/Q/CSfEbVltP8AhYMumXUUmogFMwfaYgxaHeo3DKr5mAx3EZrxvVvg18K1/wCCkEHxuHgWw/4S2LWoNNi17Y3npaHQnYxDnaASTyBnBIzg4r85rZBiMBOjOWIck60VZXtdy33+Lvpv1P3HinxGwPE3EP1+nhJYdRwsabikv3lo35Zar90+ZJfFenGPu6+79ZV4n/wUg1/4n+Fv2Dvix4h+DUl4niS08EX0mnS6em6eL92fMkjHXesW9gRyCMjkCvbKbLFFPE0E8aujqVdHGQwPUEdxX6FXputRlTTtdNX7XW5+M5ZjI5fmVDFSgpqnOMnF7S5ZJ8r8nazP58f+CJHjHxxPZ/FTwLdeI7r/AIRmy8DX+oWuntMvlW99KIY5J1B5VmjijBPTEa56Cv21/ZM8aal458LS61F4xbxDpT29v9i1k3q3K3DBSrMsqfK5O0bivGfTNeP/AB6/Z1+CH7Mvgyy+H/wD+GmmeFtGn0HxLfTafpURVHuJFsQ8hySSSFUdeAoAwABX1vZoiWkSooUCMYAGB0r4bIMlr4PNpxlWf7rlule0uaLt1+z00+4+/wDEri/BcY59XzXDYf2cK70TtzLkUY3dtLytd2fXd7klFFFffH5kfJ3/AAXA8QfFDw1/wTE+J+ofCiW8jvZLC2t9SlsE3SJpst1FHedOQhgaQOR0QseBk186f8Gt2q/EW7/ZK8eaVr0Vx/wjVp44U+HZJYAEMz2yG6VG6sARASOgLH1NfoJ+01p1jrH7OPj7SNUtVntbvwbqcFzA/wB2SN7WRWU+xBI/GuA/4J+/C/4efBr4V6/8OvhZ4Rs9D0Ow8Xy/ZNNsVIjjL2dm7H5iSSWZiSSTzXzlei3xRRqcz/hy06aP/wC2/BH6XgeL8JhvCrF8OPDJ1KmIhUVTTRKK073XLZdOWctuvu9fip/wdSeIfiivxj+Fnhi5kvE8Fr4aurvTwI8W8mqfaCk53D70iwi24P3RJx99q/auvlz/AIKY/Bz4XfGbRvC2lfFXwPY69a6VDq2o6fb36sUhuo7ePZLgEZI3Hg5U55Bq+KabqZHVs7Ws/wAUc/hZxThuDuNsNmmIo+1jFTVla/vQavG+l1f7rnzd8IfEPwr/AGjPgf8AD7SP2nP2g7bx3q0+hWF/qfg/xR4wsrm1OpfY/wB4z2aYDMm+UhWyEPOMqCPsT/gnFqOr6n+xv4Rl1G+vLq0hbULfw7dXy/vJtGiv7iPTXz/Gpsktir8l0Ktk5zWT+2p8Jvht8Zv2fPCfw/8Ail4Ns9a0bUPEGnm80+6DBJSlrM65KFW4ZQeD2r0n9lqxstK/Zw8D6XplpHb21r4Ys4ba3hQKkUaRKqooHQAAADsBXm5Ll9bAZ5UhUrOo/Zp3fnL1e1tPU4M3zyhmGQunGDg51nNQVuSCSlpDX7TnquWKShHWV/d72ud+LMGmT/DvVRqzYiW2LKwUEiQEbMZ77sfnXRV4x+2F8SLzw74Nl8P+G7RrvU9iyQWi9Jrh28u2izg43TMmTjgc8ivdzvEww2V1XJXuuVLu5aJHy2Bpyq4qKWlne/ZLU439iXXfDXjL41/ELV3jJ1LR7az0rSnljjw1ksk32iSFg5Zg14kkUgKrg2sXXrX0zXzL4Q+D91+zh8YvAdp4euvOgs9NbTNXnmkjVr23ulVp5S3ljL/bYo5sDZ8rP3IU/TVcfDUlTy94WStOk3GS+d0/mmbZmubEe1TuppNf5fIh1BrlLCd7JczCFjCMdWwcfrX853/BM74xfGLSf+CkXiLXvix8ZNW8H6nr66yPiLq0+qw6fO1wHaRopZJhhD9rWMbBzkbRxmv6N68y+FHws/ZO8LfGXx/4v+DuheEo/HOs3ds/xGl0e6ilvvOKu0P2qNWJhZgXYAhd5yx3HmnnmUVs0qUXTrezcG/XVdNVqrd9mz7vgfjXC8McPZzgauD9s8XSjBSsrQtJq8rp2Xv3X9+MF1uvjnwzp/wotv2hvh18XPgn40t/E3xA134nWtlqnii11eHU9R1Swa12ahb3MqE5t4rGNX2ABYjDCwAZst+idfKNp8GfhVaf8FJpvjdbeBLBPFs+uf2bLrwQ+ebQeGwwi67QMgcgA8Yzivq6sOF8PPDUMRCU3JqrJXfW1teu/U+b4lzKnj6eDjFyfJSSblurtvkjq/chtHbq7RvZR3lraX1pLZahbRzQTRsk8MyBkdCMFWB4IIyCDXnP7LXwz/ZX+G3wmh8O/sjaR4Vh8HNf3E0J8KXkd1aPcl8TN5qO4Zwy7T8xI2heAABxP/BVLxB8UPC3/BO74ua98G5LxNft/CE5gl0+PdNFbllW6kTuCtuZm3DlcbhyBX5J/wDBC34y614b8F+PvBHi39pzUvBPhq1vrO60awi8V22nxSXkqyLcuomBLHZFb5xwMDuarOM+w+UY6nCpScrxburXWuyv6a69j6bIOB8XnHhzmGe08XyQo1acXSu7T2XM1e117T3NHpz7H71qqooRFAA6AClry39lvxhqXjbwzc62PFTa5pkohbT9W+1rcJcfKQzJIvyuDhSSvGSa9Sr2MuxsMxwccRGLSlfR76Nr9D84xNB4as6bd7H5v/8ABzpr/wAT9J/YY0DSvCEl4nh/U/HNvD4ta2TKNEsMslukpHRDOiMOxdE74B8P/wCCaPj7wf4+/YB0H4aftC/tNTQaZLJd6afBN/41tbO1n0tZiqW8kGVkMT/OpUsN6kjlTz+rn7Qvg34FeP8A4N654U/aXstDn8D3Nuh19PEl0kFkI1kV0aSR2UR4kVCG3DDAYOa5X44eAPhSn7FXiD4e+D/Dukt4PbwE+n6bYWAVrR9NNt5aRxlDgxmIgAg8g5B7185nORYjF42pioYhwXJsr30vpuvdf530P1HB8d4Wl4d4Xh/6q1Up4l1fbK3b7L0ftFfuvdjHXt53/wAEz9I0fwq/xZ8FfDvTLez8FaZ4/QaFaWFrHHZ215JYW0mow2/l8bFuWJZRwkrSIMbSq/UVeH/sDfDfwH8Ivg/qnw6+GXhW00TQ9M8VXSWGmWSkRwhooXbGSSSWZmJJJJJr3CvZyCLhkuHV7+6n9+v4bHwfEuMp47PK1aF7XSu/ilypR5pWb96duaWr95vV7v8AEH/g6S8UfFaH9p74a6BdXN7F4TtPBz3mggJiA6m13It0yn+KRY0s8g/dDLj7xz9K+CdW+DH7Rvwt8F6Z+03+0BZ/EDUW0O11DUvC3irxjZXVrHqJsSLiU2qFRvjWS4xnIjBZhgqGH27+0V8Mf2UviNfeDJv2ndG8KXVxpfimCbwOfE93HC39rH/VJbh3XzZW2j90N2/aMqcDHG/8FBvg78LvjR8MvDXgL4q+B7HXNHuPGcUs2n3isEd0sb1kJ2EHhgD1r5jPMixF8VjFiGotX5VfWy2eq07aPQ/SavHuDx/DeR5OsNKjLCuonWilzPnlq6esbu2s7yjeXU0/+Cc93rd5+xR8P21qS6eOLSZINGlvYBHJLpMdzLHpzkDg7rJbZg38QIY8mva64z9nG3t7P9nzwNaWkCRRQ+ENNSKKNQqootYwFAHAAAxiuzr7XBw9ng6cb3tFK/yPynNcVHHZpXxMY8qnOUrduaTdum17BXkP7T3gRvHGpaLpn9nOftkFxp4vIATJGszRl1HUDhA3I/gPYGvXqKyzLArMcHLDuXKm1r6NP9Dnw1d4asqiV7X/ABVgoooruMD+c79g/wCNXx20T/gqj4j1f4q/GTWvB2p+INT1uH4kajJqsWnybkMsnkytN8ke25jiUKBkYCrgZFfsL+y3H4R+I/xDsfEXhX4pP4wOmapJe6lrS63DqEjTfZHgRJpYvlGEdQF4OAPx918Hfs2/Aj4f/FXxN8cPBnwt0nTvFnjIRDxNrtvBia/EYwm/JwOgJ2gbiAWyRmu1jiiiBEUSqD1Crivi8HwpiaFeFSpiW4xnzcutnZ3XXd9dD9T8RvELAca5rDF4XBqilQhSe28U77LZN8sdfhjG6WydRRRX2h+WHkf7VHgk+NoNJ0wac7m6iu9PF1ApMkQuBGGUdQM7AeR1T6163GgjjWMHhQAM0tFcGHwKoY2tiOa/tOXTtyq34m9Su6lCFO3w3+d2FFFFd5gYnxJ0sa38Ptb0ZtPW7W70qeF7VgcSq0ZUrxzyCelcv+zX4ZfQPBF7qEglDaxq73pWUYx+5ihGOOhEIPPqe2K9DorhngVPMYYvm+GLjb1ad/wN1XccM6Nt2nf0Cvj39tvxnb6F+0+1l8TPFkuleF7f4N3l1o7XMiRWzzG7canKrNjfNFAlh8pztSUnHzGvsKuK+NP7OXwM/aLtNGsPjh8MdK8TQ+HtYj1XRo9UhLi1u4wQsi4IzwTlTlW7g4FYZ1l9TNMvlh4S5W7a9NHfU9Xh/H4HL8w58ZFum4uL5UnJX6x5rK99HqtGz4f/AGZfi/o/xB+G3w/m8e/tUXXifxRc6DZXE3h3U/F9nM329rYb8WsQDCVdzjYPu5IxxX3r8KPDA8F/DPQfCgaQ/wBn6VBCfOxvyEHXAHNbq2tsjb1t0DDoQgzT65coySrltedarXdRySWq2S16tmOaZnTzCo5U6SppycrLZX6LRaLYK5zUfhtpeo/EC08fy3TiW2h2m3CDa7DIVs9RgE8ew9Dno6K9ivhqGJUVVjezUl6rZnmU6tSk24u11b5M5zxh8N9L8Ya/pev3l08babLuaNVBEyghgpPb5gOfQke46OiiilhqFGrOpCNpTabfeysvwCVWpOKjJ6LYh1BrlLCd7JczCFjCMdWwcfrX86X/AATM+Nnxs0b/AIKM+JdR+Kvxt1rwde+I21dviTqE2sRafJJdI0kmyZphtVxdbQFAyMlRhSwr+jOuI8B/s3fAn4YfEXxV8W/AHwt0nSvEnjaeObxVrFrb4m1GSPdtZySQDlmJ2gbicnJ5rx87yevms6MqVV0+RvVXvqt1ZrXTvs2fo3BPHOB4VyDOMvr4VVpY2nGEW7e603vfpaXMrfbhH1XiX7KUfhT4hfEGy8WeFfiY3i4aXfz3eoa4usw37y3Bs2tgk0sXy5EciALwcIvvn6kpscUUQ2xRqo9FGKdXVlGWSyvDSpSqObcnJt73dvN9u58DjMUsXVUlHlSVrEd3aWt/ay2F9bRzQTxtHNDKgZJEIwVYHggg4INcf8EP2dvgh+zb4FT4Z/Av4aaX4a0JLuW6Gm6dCQhmkILyEsSSTgDJPRQBwAK7SivTcIOak1quvXUzjicTDDyoRm1CTTcbvlbjeza2bV3Zva7tuIqqihEUADoAKWiiqMD83/8Ag501/wCJ+lfsMaBpXhCS8Tw/qfjm3h8WtbJlHiWGWS3SUjohnRG9C6J3wD5B/wAEtfjXba5+xH4W0D41ftZXln9mmuNPs/Cuo+NbS3hOmxSeXBA0D4k8sqCoBIJUADjFfq38XPhD8M/jz8PNS+E/xh8G2XiDw5q8aJqWk36ExThXWRc4IIIdVYEEEFQRV/wh4F8HeAPCmmeBvBfhqz03SNGsIbLS9PtYQsdtbxIEjjUdgqqAPpXymZ8O4rMMxliIYh004paXv6brTr6n6fDj3AR8NaPDTwidWnXlV9ppZpxaXS/NrZ9OWMde3Lfs4+GH8OeAprqUSh9W1SW+ZZRjG5UQYGBwRGDz6+mK76iivocFhlg8HToJ35ElfvZH5rXqutWlUatd3PxE/wCDojxj8X9M/an+GOmpqOo2nhnT/CTah4clhzHGuq/bHFzIjjkyqiWfuoKkY3HP1n+z98WtL+I3g/wS3jr9qO48WeLbrQrS5ufD9/4ws7pl1J7MeeUtoQG8xd8wwM7QW444+0/jB+zl8Dfj/deHrz4z/DHSvEcvhPWU1Xw6+pQlzY3aYIkXBGegypyp2jIOBXZLa2yNvS3QEdCEGa+YxvC+JxuNrVViXGNS2iu76Ws9UrLpvofpuceIOAzHgzKcmp4NRqYNVOaenvc8rrl0ur7zvvLVGP8ADXw4vg/4d6D4TRpCNM0a2tQZcbj5cSpzgAZ4rboor66nBU4KK6Kx+XSfNJsKKKKsQUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAV438dv29v2Yv2b/AI7+A/2cPi145nsPFXxGuBF4ftodLnmhj3zJbwvdTRqUtUluJEgjaUqJJWCDJr2SvzO/4Kq/BP43+Mf2/vDumeBPg94o16x+KfhzwFoml+JdH0l57Dw/caD45TW7+S+mX5bRPsTGSNnwJHiKLlsCgD9MaKKKACvLvAH7YnwN+Jn7Tvjb9kPwhrOoT+NPh9pVlqHia2l0ieK2ihus+V5c7qEmPHzBCdp4JyCB6jXxd4H+K0d3/wAF0vG/hxfhZ8QYrST4G6PoEXim58CX8ehy39tfX+oSxpqJj+zuBBeQAENgyb4x8yEUAfaNFFFADJ54rWB7m4kCxxoWdj0AAyTXkP7I37dn7O37btn4nuPgPr2rTT+D9WjsNf07XvD11pl3btLEJrebybqNHMM0TCSKQDa68ivXriZbe3e4dGYRoWKouSQBnAA6n2r4h/4I3fE7UP2h/E3x0/ak+Ivwt8f+EPHXj3xxbTaroPjXwJfaNFpejWkUtno9lbyXUSLeuttA888seQst4V4AXIB9w0UUUAcz8ZPi14R+BPwv1r4u+OxqDaToNkbm7i0jS5r67lGQqxw28CtJNIzMqqiKWZmAArH/AGY/2lvhL+178E9H/aA+COsXV74d1s3CWzX+ny2lxDNBPJbzwTQSqrxSxzRSRsjAEMhqP9q/xXofgv8AZv8AGeveKPDPjXV9LGhTW+p2Xw4t55dd+zT4gllsltmWbzo0kaVTCfNXy8plgAfFf+CKXgbx98OP+CdHg3wp4+8Ha9oJj1fXp9A07xZZfZ9YGjzaxeTafJqCEBhePavDJKXG8u5L/MWoA+rKKKKAPOP2tf2r/gn+xH8ANe/aY/aG8SS6V4T8OLAdRure0e4lLTTxwRJHEgLSO0kiKFAzznoK9CsruDULOG/tiTHPEskZIwSrDI/Q1+f/APwcY/Bj9qT42fsYDRf2fPgT/wALE0rS7TWr/wAUaBbawLa7ST+yp7eyuoIRFK988MlxJMtqihpJI4sMpXn7m+FV14ovvhf4bvfG/hpNF1qbQbN9X0eK9FytjdGFDLAJgqiUI+5d4Vd23OBnFAG/RRRQB478TP24Pg78LP2ofDH7IeseH/Geo+L/ABVpsGoWreHvBl7f2FhazXEtvHNe3UKNHZxmSGQbpSo+XrXsVfAP/BQ7wl4x/wCHlvwJ8cfs+eFPjTD8R5dc8P2Gq654dgnHgy48Hx6heS6vb6pIn7kypDLIyJN82+SAxZO/H39QAUUUUAeTeC/21/gD8Qv2o/Ev7IHhDXNTvfGHhGxWfXni0G5/s23kKQyNafbtn2drpYriCRoA+9UlViOuPWa/MX9hn4MftS/B/wD4LW/F2KWx+J1v4R1/xJ4t8QeK5dVM/wDwiF5YXq6NJoUlhu/ctfiQajHMU/eBIdr/ACiOv06oAKr6vqcOi6TdaxcwzyR2lu80kdtC0kjKqliERQS7HHCjkngVYooA8R/Y3/b8+Bn7ccvi6y+EOi+NNLvvA9/a2fiTSvHHgu80S7tZbiEzwgw3aI53R4fp0ZT0YZ9ur5h/4JdeDPF3/CD/ABS/aH+InhbU9I1v4ufGvxD4gFjrVjJbXcOl2866VpiSRygOgNjp1vIoIHEuRwRX09QAVxP7Rv7Qvwu/ZU+C2u/H74zavcWXhzw9BHJfS2djJdTu0kqQxRRQxBnllklkjjRFBLM6gda7avmT/gsX4S8aeOf+Cc/xC8L+B/Bes+IJrhtJbU9L8N2TXGqNpaatZyahJYxqCxvI7RbiSEp84ljQp8wWgD2H9mz9oz4WftZfBbRfj58GNWurzw9rqzi1a/0+W0uIZYZ5LeeCaCVVeGWOaKSN0YAqyEV3VfL/APwRu8JeL/BH/BPPwX4d8X+Ctd8PiPU9dl0TTvFdk1vq/wDZMus3sunzagjgOLyW0eCWYyfvGkkZn+YtX1BQAV47+2J+3j+zT+wh4c0HxR+0j4yutKtvEerNYaYthpM97IdkTTT3DpAjNHbwRK0kszAJGgyxGRXsVfnj/wAHEPwE8efGL9n/AMM33wXT4gnx4ya/4W8OQ+B/Ao12G/j1zS5LG4sb7Lr/AGfBMuwfbzlYNhJGWWgD9C7e4gu7dLu1mSSKVA8ckbAq6kZBBHUEU+sD4VeFr7wN8L/DfgnVLlZrnR9As7G4mU5EkkUCRswJ9SpNb9AH/9k=", 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", 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", "info": {"equation": "19+16*5=99", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "76541f9a003056716ae0ffc73a0e28f8ac7292913369af7897e278e64ea49eea"} +{"episode": 43503, "episode_seed": 713378023, "split": "train", "timestamp": "2025-10-28T03:46:50.809684", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 713378023, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [5, 4, 1, 8])", "action": "('move', [5, 4, 1, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "7*13=91", "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*13=91", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "551875909afc869bafd3e311dffba3c0bd81c60b30f9dcda5afb148f430a4888"} +{"episode": 43504, "episode_seed": 1805738948, "split": "train", "timestamp": "2025-10-28T03:46:50.873421", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 1805738948, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 8, 0])", "action": "('move', [5, 0, 8, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "12+5*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": "12+5*1=17", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "230e45033d3dbca30a5a8b76b9f7d4d06dc59501ae29cb53f2f9d7e817384176"} +{"episode": 43505, "episode_seed": 2814665831, "split": "train", "timestamp": "2025-10-28T03:46:50.938275", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 2814665831, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 8, 1])", "action": "('move', [1, 6, 8, 1])", "reward": 0.0, "image": 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8JPht8b/hp4V+HnxZ8H2uu6JdeN4pLjTrwuEdk0++ZDlGU8MAeDTPD/hbw3F/wTavPDEOhWqacnwu1C0SySELGsAtJkEYA6KE+XA7V8fmOV18Zn1fkryh7ilp1W3LutNL/M/Tp8fYGfhnl2QRwqVWhXlN1Va+rk049eb37PVfBGz/AJfP/wDgnH4c8LeAv2gfi34E+DGiWWneCItP0K8u7DRrOKOwttfkS5S5WMxjAka0i095Ix93KNgb+fsGvnT/AIJ3/CD4YfAzw74y+Hvwh8E2Xh/RYdft549PsFbZ5sllCXcliWZjgckngAdABX0XX0PDMHDI6CvfS/3tv8D8/wCK8dTzDPatandq0Y3l8UuWEY80rN2lK12ryte3NLd/HX/BebxJ8WPDH/BMnx5d/CWW9ikuHs7XxBNp8eZE0qWdUuckcqjKQjkfwO2eCTX5lf8ABErxt8QtV8A/FfwNrHiW7m8M6L4OvLjRNPlnBisrmcD7S8Y6pvEUBP8ADlM9d2f3s8UeGPD3jXw1qHg7xbo9vqOlatZS2epWF3GHiuYJUKSRup6qysQR6Gvk79oH4FfCH9nHwlp3wo+B3gGw8N+HrLwF4klttL05CEV5JbV3cliWZix6kk9B0AFeFxbldWonjlUtGMUnHv7y/DW/ql8vu+G+O8Dg/DvEcKywqdWtWVRVdNElFvz5lycqtpyzlqrWl6p+yF471Lx3pI1Oy8dP4l0c6XEsWsf2gt0k0qYTIlT5GY7W3Y7jkZzXtdV9JRI9Lt1jQKPITgDHYVYr6rK8FPL8GqM6jm7t3e+rv3f5n5Viq8cRWc1HlXZHM/Gm+8b6X8HPFmp/DO2ebxJb+Gb+Xw/DHCJGe+W3cwKFbhiZAgweD0r+df8A4JIfFv4h+Hf257rVPEfxq1TwpH4g07Uj431yTWYrKadsNMBLNcA4droRkj7xOe2a/pOryn4EfCH9jnwN8SvH/iH9nnw94Ng8VavrCyfEZ/D93FNdC9LyuFukV2MDl2mbYQuSWOM5rzM8yatmmIoyp1vZ8t/XXqtVrprrsfpnA/HWD4Y4TznLKuD9s8XCMVKytCza99u+i5uaFvtpd7r4a+M9j8G7rSbn4+fCn4h2/i74tWviLRovCfi2LXLfVdY/tP7QsVpYRMpwsUiPOjwKArxyTuwOCy/p3Xxz8efgd8Ide/bu07416z8PtOufFehax4VtdH1yVGM1pC94NyoM7RnzH5xn5jg19jVzcMYWeEqYqE6jm1O131aW/XV319D5jiPNaePy7BUYuTcIybcunNypU46v3IKF4/DrKVordlfzgft2/FD9onR/+C0/ifxf4g8T6ppHibR/iclp4dvpSkD2OlrKI7Noi/yJGbR0cMeCJC55Ymv6P68q1/4S/se6h+1fo/xP8SaD4Of4x22gPHos9zeRDVzp/wC9RnjgL7nQBpk8zYcAsu7AxXfn2V1M1oU4QqcnLJO/+Xmuh9J4W8cYTgfG46tXwf1hVsPOmlZOzdn71/8Al27Wn5WetrHyB4+0v9kb48NJH8a/jjpPxJtdJ0u+aG18VeNLTUItNtnjAubmONCojYRqMzkbowCVZckn60/4J/6p451n9iv4Z6l8R2vW1aTwla+ZJqVqIbiSELi3klQABXaARMwwOScgHivPP+Cj/wAC/g/8b5PBfh74t/DzTtfsbFdVvrS0vo22JcJFAFfCkbsBmGDkHPINe+/BX/kjnhLgf8izYdB/07x15WQ4Grgs6xMKlVzajDV9b693tay1PnszzeliOGKGFXM3zuVnblpqPMrU9X8blzT0irxj8W66avK/2o/hR+x/8UbLwvF+1zong+7gsfEcT+E/+EtvYoFOpMDsjhMjr5ruB/qvmD7RlTgY9Ur8Nv8Ag6M8UfF0ftWeAfDOp3V/F4NtfBn2zw4oUrA2otcyrdurD70ioloD3UFcY3c+3nmPhl2XSrShzq6Vntq+v9b2PV8K+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+af9nz4ufH/S/wDgrX/wm3xP+IureGPFuoePb608cavPdxWU9pC0jpdRs8o2QqsalAOihVC9Fr9Ivj7Y/sx/ELwD4q+KviP40W/jTxT4d8LSPoPiS58U2+panoM0b+baPY+Wf3ExvPJ2FV3yyCOMlgQlfcHhD4R/sd6R+1J4o+JPgrw/4OT4uX+kxJ4tnsruJtW+xlYdjTwhy0aMEg+cqu7CZJ4rwz/goj8DfhB8Svi5pfi/x78PdO1XU/Cng57zw7d3cbE2E5uifMQAhScohG4HBUEYr8yzHh3E4HAVKrxLceb4VezvJK71+Lq9N+p++8R+JeA4n4qwGMp4WWFVGhCL5ElJ8qcuWOsV7N6Ri23aPvcr+E+qfhLeeMdR+FXhnUPiLbND4gn8P2UmuwtGEMd40CGZSo4UiQsMDgV0FFFfpkVyxSPwatUVWrKaSV23ZbK/ReSPzy/bH+J8/hjx/wDtLX/xJ+IN3o15o3huyHhDz3ija20w6UGtZ7NH4lL6nJeJuwd0qLHzgLWl8L/in4S8aW3hmDxT+1ZL4r19rSCX+wb/AMb2d2Pt7W+JCkEWCXXdKABnAJ4r6/8AiT+zD+z/APGD4j+Fvi98TvhPpGteJfBU5m8LaxewFptPkLK+5CDg4ZVZdwO1hkYPNdwtrao29LaMEdCEFfF4jhTF4jFV6n1pxjUbdkm7p9HqttlvofY47iPKquBw8KGH/eRjHnbUUk4wjBcjV21Llc5NpPmlaztzS5v4LeEj4H+FujeGWMu6C2LsJ8bw0jtIQcAYwXIx7V1FFFfYUKSoUY019lJfcrHxk5Oc3LufK/7bHijWdL/am+FmjeIdcnsfC0vh/XrmyWR1jtLnXE+yrGkjkjMi2cl8yJ3HmsAdhK/N/wCz18d/A3ir4YajaeNP20LpdJk8Ua5aabot543sLa3m0db+eO3jMIAPlNAAByCyEHPOa/Qb46/s+fBf9prwDJ8Lvj18O9P8T6BJdRXLabqSMUE0ZJSRSpDKwyRkEcMR0JB6TRvDXh7w7o9p4f0HRLWzsbC2jtrK0t4FSOCFFCpGqgYVVUAADoBXy2P4bxeMzKpiYYlwUklZXvorW3WnX5s+v/t/Ko5BRwqw960XZtqPLZOck09W5S50pJpWUE05c1oeffsweFxpWgav4oDSf8TzUI5l3Y2FY4I4gyccg7evPtXp9AAAwBRX0WX4NYDBU8OnflVr9z5TEVniK8qlrXCvGv2qvAr+NrrTdOGluxvtOu9MW8gUmRFuNgdB1A+4rDI/hPYGvZaKzzTALM8FLDuXKnbX0af6FYXEPC11USva/wCQy2hFvbx26kkIgUE+wxT6KK9A5zmfjTfeN9L+DnizU/hnbPN4kt/DN/L4fhjhEjPfLbuYFCtwxMgQYPB6V/O3/wAEjfjP8TvDP7bl9L4g+Ous+ErPxJZahL481V9djsnupVWSVDPJccGT7Sw/28uw6Fq/pKrgvhb+y5+z18E/GXin4hfCn4SaNoWteNr4XninUbG2xJqM++R975JA+aWRsLgEuTjNfO53kuIzWvRnSrOnyX2vfXqrNa9N9j9Q4J4+y/hXhXN8qr4RVZYyEYxlpaLV0+a+tlfmjbaaXe6+fPgJH4N+LPjW0bwt8XZPGk9vrtje6pqy6/BqM8YtpVmijkeL5UT92QAQCdzYOTx9gU2OGGHPlRKueu1cU6urJsqllVKcZVXUcndt+iXd/mfneMxaxc4tR5UlawV/OL+3H8Xf2lfDP/BarxT401PxlrGheKNJ+JIsPD+oeattJZ6QZBDa+WW+RIms5FO4/Kyyszfeav6Oq4PVv2YP2ftd+O+n/tO6x8JtHuPH2l6abCw8USW+bmG3IkUoDnGdssi7iNwViM44rPPcprZtRpwp1ORxknf+uq6H6F4Y8eYDgPGY2tisKq6r0J0ktNG7NJ3+xK1ppa2to7WPljwt4x+HvxB8UjR9G/aUl8dao9rNDp9hceMLbUZYUfAkaKKEBskBcnB4Ar7Q8F6CnhXwdpPheN3ZdN0yC1VpCCxEcapk44zx2rQS2t423R26KfVUAp9Tk+S1Mrq1KlSs6kp21flfzd9z4DGY2OKhGMYKKjfbz+SCuE+OP7MfwB/aWt9FtPjz8KdI8Ux+HdUXUdFTVYC4tbkDG9cEZBGMqcq2BkHAru6K9ucIVIuM0muz1OfC4rFYKuq+HqOE1tKLcWumjVmtNCP7Jahtwto8567BUlFFWYBRRRQBFerI9nKkMau5iYIjHhjjgH2ryD9lrwAnhzU9X1yOwmtEXT7TSobVlISNLdpmCjIzkebtPPYd69korz8RgFiMfRxLlb2fNp35lb8Dop4h08POlb4ra+juFFFFegc4V4vpfw/N1+06dbOmSWwsNTm1RmhU7Jmeze1DMTnOVk7Y5T2Ir2iivPx2AWOnRk5W9nNT9bX0OihiHQU0lfmTX3hRRRXoHOfzV/s7fGj9ovQv+Cs03jD4j/E/WvCnirWPHN7YfEDVZL6OxmhtjMwuoZGk+SJFWMAKeF8tAvKrX68eAJvAnxq1q68LaB8epvHOpahbJa3EzeKLfUbmzti+DtEQxGmWJJYYz3r6f8Pfsvfs+eFPjfrf7SXh34S6PaeOvEdktprfiaK3/wBJu4QIxtY5wMiGLJABbYMk4ruo7eCI7ooUU+qqBXwtPhDFaxninyuV+VJtPW93qlf5PXufrviJ4k5dxnmGGxOFwSo+yoQpvbdXvay+CN7RW9t7Xsn0UUV90fkQUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFeP/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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", 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", "info": {"equation": "60+59=119", "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": "60+59=119", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "aa7212305d2214f59da8b0c7221eefd59945851230ab873a2b4a96cec60a90d8"} +{"episode": 43506, "episode_seed": 1982106433, "split": "train", "timestamp": "2025-10-28T03:46:50.995382", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 1982106433, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 1, 7])", "action": "('move', [4, 4, 1, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "9+8*5=49", "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+8*5=49", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "aedaf86c93d647e28245533c8f0cd819e6b448186b1af465a965bc4980ba013e"} +{"episode": 43507, "episode_seed": 1119485269, "split": "train", "timestamp": "2025-10-28T03:46:51.050819", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 1119485269, "verbose": false, "save_verbose": false, "elicit_verbalization": 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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fG3xZ/acsP+CmGofE3xx4p1bSPiXB8SnjvtQuSkFxYyef9nKjzPkiRIfkXPyLGBj5QDX9Q1eeJ+yd+zfH+0BJ+1Snwc0UfEOWy+ySeK/s5+1NF5YixnO3d5YEe/G7Z8uccVWfZPWzeNJU6nJySv8A8FW6rp6vU+x8LvETL+AFmP1rBqv9ZouEdtHr7sr/APLud/ftd+7HRnx54hP7Nnx11jTPDfxI/aDsviXHZ3zXGj+GvE3jSz1K2Nz5bqJharhZpFjaQAsrbQzEAHke0f8ABJom2/Zu1zQPDjSP4I0j4ja1ZfDSYxr5T6IkqFRA65863S5a7jikJO6ONeWGGOv/AMFFPg58LvjT8OvB3w/+Kvgiy1vRbrx0kk+n3QYI7JpmoMhyhVhhgDwa6/8AYg8P6H4T/Zm0Dwt4Y0mCw03TbzVLWwsbWMJHbwx6ldIkagdAFAA+leNlGX1sDxJOFSs6jVO931u0rPV7HzuJzmjU4ReFXNeVRWi7ckFFN80db88m2n7sUlfWTl7vrFeHf8FKvE3xi8G/sG/FPxP8Anvk8WWXhOeTTJdMi33MK5UTSRDrvWEysCPmBUEcgV7jQQGBVgCCOQa+zr03Woypp2umrrdXW/yPl8rxkcuzOhi5U1UVOcZOMtpcsk+V+TtZ+TP5tf8Agi78XfGvgH9qS68O2/xz1LwX4X1rRbiXxRdW2vQ2Mc7Qoxti8k2VLCWTAx8xDt2LV+yvwF+L7eJddh0H4d/tDXHji4ivo5pon8Twai8KthcP5GNsZCn7w/vEGvcfgX+yZ+zb+zN/bf8AwoT4N6J4W/4SO+F3rf8AZdtt+1SjdtJyThV3vtQYVdxwBk16DHBBEcxQopPXaoFfF4ThLHUacYvFySTvyxvbe+mq/Lc/S/EzxEy3jjiieZ4XB+zi4Rj71uZ2XxSsmr68q1fuxj6J9FFFfcn5Mfml/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+9VeffH39lP8AZ0/altNHsf2hPhDo/iyLQL43ejpq0Bb7NKQAxXBGVYKu5TlW2rkHAr1M9y2rm2XvD058run5O3R/1ukev4V8bYHgDi+nm2Loe2gozjZW5o8y+KN9L9Hqvdcj85v2PvjBoXxI/Yi8HaD+0Z+2VfR3Gp+F2s9d8O3fxBs7ONrLdJFHbyRrteNGthGpG4MQxyQSa92/YR8J+A/hp+3Xr/g39nPw/p2meFb34VW93460/wAO2cK2EGpJdxJpLsY/9XPLaPfHaMb440kIJIZvqv8AaN0vTZf2dvHlrJp8JjbwVqiMnljBX7JKMfTFeIf8E4/gX8H/AIAeJ/G3hL4L/D7T/DmnXWjaHd3Nrp6tiWdpNSUyMzlmY7VUcngDivl6WUYjL+IMLGpiJVLqT1vpZbat6MKvFGGxmBzOtGm6arydqUbeyXPK93qtaenIlHdJ8y5bP6oooor9APzg8f1T4N/sSXn7Xtl8U9X8PeCG+NSaPmxnmvoRrJsxG8Xmrbl9zKI/MTzdhIUFd2BgeuLa2qMGS2jBHQhBX8xf7SPxj/ap0H/gqF4p+J3iDxfrWjfEnTviLPBa37yLbz2SLKYII03fIkQtyiKD8hjPOVJJ/ZzwT8dPCZ8TR2Gg/tnXXiG7vA1vb6TcePbO685m/uRxgOX442nPWvhYcZYOhKrGVBp8z2tr5y2s++5+0eIvhpmHC1DLJ1cesQq1FNXbfJaz5Yav9373uPS/vaI+3KKxfh5c63eeCdNuvEQf7Y9uDMZBhjycFgehIwT71tV9rQqqvQjUStzJOz3V1fU/GqkPZzcezsFFFFakH86v/BwT4s+NWqf8FNPEml/EO41FNO0ew0+PwJDNGUjTT2gRy8AHDBrk3GX5JZSp+6AP3q/ZQ1f4oeIP2Yfh5rvxttriHxjeeCtMm8UxXduIZV1BrWMzh0HCN5hbKjocivmf/gpN8Bfg18XfivP4r+J3w507XNQ8LfDSS68P3N+jMbKbzrpt6qGCsd0aHDAj5Rx1r7TsSWsoWY5JiXJP0r5LJMO6We468m9Y/wDk13+Gy8j9e4747wPE3BOSZXRwipTwsHGUtNWlGPu21tK3PO/2u9ruWvzq/wCDmHxP8YtA/YP0zTvh7LfxeHtV8YW9t43lso8qbTy3eFJmHKxtcLF7Fgik8gH9Fa8i/br8JeG/Hn7LviHwV4x0eLUNK1W80q11GxnzsnhfU7VXQ4IOCCRwQa9vOaTrZVXgnb3X+Cv+Ox8VwRnlHhvi7BZnWpKrGlUjJxfVX6X05lvH+8kfj9/wQz+M2teHvhb428G+Mv2nL/wV4ds9YtZ9BsIfFNppyS3Mscn2pwJQWc7Y7bJ+6O3JNfU+reDPgb4Y+JHw1+L37Od9pusfEvU/jFY/Y/FOmXsOp6prQuZ0TWluJwWMsS6c9w8n8MCohUR55+tf+Cenwp+G/wAIfht4r+Hvwy8F2Gi6Jp/jVvsenWcWEj36bp7scsSSSzMSSScmvIvAHwD+DOift4R/HrSfhxpsHjLUfilq1pe+IVRjcSQCyvV2cttUbY0BKgEheTyc/nsMqr08Nga8q8mpzglHW0b66avb0R+h5zx1gc340zPNadGVGE1JqEbWqWioqNXVLlnrKpbnu20lrzL7fooor9UPxM/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+Z04rEvEzUrWskvuCiiivSOYx/iFpS674C1rQ5NOS8S90q4gktJM7ZleNlZDjnkEjj1rzr9l7wY+lX+v+M5Yp4zqFvZWKpIuF22zXLZHGc5uGB5x8oHBBr12ivNr5cq2Z0sY5fw1JW782n9fI6YYlwws6Nvia19Aooor0jmPO7/8AZM/Zu1P9oC3/AGqNQ+DmizfEK1s/stv4qe3JuUi8tovXaW8tmTeRu2nbnAAr0BbW1RgyW0YI6EIKkoqIU6dO/Kkru7t1fd+Z04jGYvFqCr1JT5IqMeZt8sVtFX2iruyWiCiiirOYKKKKAPDP2pPh3/wm/idNMXSZA2uaE2ktfWykyFHaTKZOVG3zGYcdyTkCvcYIhDAkIOQiBefYU6ivNweXRwmMr4jmu6rTt2srfM6a2JdajTp2ty3+dwr5i/4KUeJdf0AfCa1vdbutN8GXvxIiTxhdxEJAWS0nl0+K5kJHlwvfJbjkgM4jUn5gD9O1h/Er4a+A/jF4D1X4YfE/wraa34f1uza11XSr+PdFcRN1UjqDkAgjBBAIIIBrXMsLPHYGpQjLlcla/wDXTv5HZkmOw+XZpTr14c0FdNaN2lFxvG+nNG/NG+nMkfnZ4Z+PmjWv7UnxT8Jt+11e+GNA01NF8uwtPFllYQJq7W8qXqKXBaRlihsg4JOxyy8EED6G/Zh0Pwj8QPF+h+I/Bnjf/hIrTR9YudRutbttUivftN00E8T+dMmVLn7QSQMHgdq9++D/AMDvhH8APh7YfCj4NeANO8PeHdM8z7DpVhDiOIu7SOfmyWLOzMSSSSa6mOOOJdsUaqPRRivmMHwpiKFSjOriXJU2pctna66K709bbHqZxnmBxWJqfU6HLBxUU3ZSajFR5pJXSlK3NJKTs3u926iiivtD5YKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACuQ+Pnx3+Ff7MXwb8Q/H342+KotE8K+FtOa91nUpUZ/KjBAAVVBZ3ZiqKiglmZQASa6+vk3/gt78Ffif8ef8Agmz448HfB7wleeIdc0/U9C16Lw7p0e+41SDTdYs76e2iT+ORobeTanVmCqOTQB7J+yX+158D/wBtf4UH4w/AbXb2602DVrnS9TstW0qawvtMv7dgs1rdW06rJBKuVJRgDh1PQivTq+Lv+CNvhbx/qEH7QX7S/iv4a+JPB+j/ABj+Peo+JvBugeLtIk0/URpgsbK0S5ntZMPbvLJbSNscBtoUnqK+0aACiiigDxv9sr9vH9nP9g3wvoHi39onX9TsrXxLrsWk6SulaHcXzvcSMqguIUYRRgugLuQuXUckgV7JXwx/wcI+LNStf+Cf9z8NfDXws8deK9a8T+L9BbTbHwR4LvdYeNbLV7K9neYWsbmFfJgkKs2AzAKOTX2V8MfiBpXxX+HOh/E3QtK1awsvEGlQahaWWvaVLY3sEcsYdUnt5gskEoBw0bgMpBBAIoA3aKKKACvAviV/wUv/AGTfhF+1ZoX7HPxC8U61p3izxFqNtpum3s3ha9/shtRuYTNb2Daj5X2YXUkYDLFv3YIzjNe+1+cf7d3xrv8A41f8FXPhD+yj8U/gr8Urf4V/DDxJpPi5fEPh74ZanqVj4m8XSHZpsL3sELQ2ljZCczzyu3MmEbasbNQB+jlFFFABRRRQB4F+zt/wUs/ZV/ag+P3iL9mb4Y674hi8XeHNMfU3sfEPhG+0xNS09Lk2rXtlJcxIt3biYbPNjypJGMjmvfa/NX9g7SvFPxA/4LSfET9pP4Y/BT406B4K1j4UTWHxAu/jXo9zD9i8RDVxLBYaM90WK2giM7tHbMbbOwr2r9KqACiiigCO6uraxtZL29uEihhjLyyyMAqKBksSegA5zXlP7GP7bX7Pf7ffwhn+On7M3ii51nwzBr95o41C50+S2824tmVZCiyAFk+YFXHBBrE/4KX/AA//AGhfix+w78QPhd+y5okOpeMPEemRabb6fNriaYbmymuYo7+JLt1ZbeRrNrlUkKttZlO0kYr56/4N8vBXx7+G37P3xc8D/G39ld/hRBD8f/FF14e0NtUNyn2ea6y0UBMEXmW0JVY4rlQUuEAkUKOKAPvqiiigArxr9sT9un4K/sQ6b4Xvfi7pHi/U7nxlrUuleHNI8EeELvW768uY7aS5dVt7RHkIWGKRyQOApPavZa+Hf+C5Hgj4aeJ/gz4V8ReOfBP7QF/rHh681W88C6x+z5a3b6jpetvp0tvA072f7+KOQTOgYfuz8wkIU4IB9meAfGWnfETwNo3xA0jTtSs7TXNKt7+2tNY06Szu4Y5o1kVJ4JQJIZQGAaNwGVgQQCDWtXkn7BKftCR/sUfClP2sGuD8Sh4C0v8A4Tc3hUz/ANpfZk87zdvy+buzvxxv3V63QAUUUUAeI/Gz/goZ+zF8Av2hvDP7LfjrxHrE/jPxPBBcx6doXhq81FNLtZ7j7NBdX8tvG6WMEk+Y1klKqWB5wM17dX48/wDBRH4BftkeC/8Agsbqnxq/Z/0r4wrrnxAHw7T4cav4HFz/AMIz5VhqLxa7ba+0f7lYksnllRJ/lP2himX6fsNQAUUUUAFfNfwL/wCCqn7NHx+/aeb9kHw54W+JOh+NzpN7qdvZeNPhtqWjw3VnaSrFNPFLdRIske91AZcglhg819KV8efsm+AvHPxV/wCCpv7RP7X/AMQfBmr6ZpfhnTdH+F3wzl1jTpbf7VY20f8AaOqXUHmKPMhlvblEWVMq/wBlOCcUAfYdFFFAH//Z", 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np4H2c8Je9WyV2tL03veT9+pqv3iWvU+Zf2A/DHhH4c/tueOfA/wB0Cx03wdP8O9PvfGGnaFYwpp9prgumSzIMYxHPJZeaXjGMpHC5ALBn+3K+Yf+Cd3wS+EvwC1/x34G+DPgGw8O6S8Gk3L2Wnq215mN4GkYsSzMQqjJJ4UAcCvp6vX4VhyZFR1ve7/F6H55xdmFLMc7lUp8zUYxjzStzz5Ypc0rNq77XdkkuZ2uyv5efG3xZ/acsP8AgphqHxN8ceKdW0j4lwfEp477ULkpBcWMnn/Zyo8z5IkSH5Fz8ixgY+UA1/UNXnifsnfs3x/tASftUp8HNFHxDlsvskniv7OftTReWIsZzt3eWBHvxu2fLnHFVn2T1s3jSVOpyckr/wDBVuq6er1PsfC7xEy/gBZj9awar/WaLhHbR6+7K/8Ay7nf37Xfux0Z8eeIT+zZ8ddY0zw38SP2g7L4lx2d81xo/hrxN40s9Stjc+W6iYWq4WaRY2kALK20MxAB5HtH/BJom2/Zu1zQPDjSP4I0j4ja1ZfDSYxr5T6IkqFRA65863S5a7jikJO6ONeWGGOv/wAFFPg58LvjT8OvB3w/+Kvgiy1vRbrx0kk+n3QYI7JpmoMhyhVhhgDwa6/9iDw/ofhP9mbQPC3hjSYLDTdNvNUtbCxtYwkdvDHqV0iRqB0AUAD6V42UZfWwPEk4VKzqNU73fW7Ss9XsfO4nOaNThF4Vc15VFaLtyQUU3zR1vzybafuxSV9ZOXu+sV4d/wAFKvE3xi8G/sG/FPxP8Anvk8WWXhOeTTJdMi33MK5UTSRDrvWEysCPmBUEcgV7jQQGBVgCCOQa+zr03Woypp2umrrdXW/yPl8rxkcuzOhi5U1UVOcZOMtpcsk+V+TtZ+TP5pf+CN/j74maR+2X4f8AAXh3xPeQ+HNfvTP4o01Jx5N4be3uGtndW+8ySvlSvzDc38O6v2T/AGZviDqn/CXa34I8I/EN73ULTxxezXPh1NTSQ2KSXBADQr80UbjL/NwSzMD6dV8T/wBlH9nL9mHwLE3wA+D+jeFD4j+IOn3etnSbcp9qlAm2k5Jwq732oMKu5sAZNej/ALHUaD4UXkgQbj4u1nLY5P8Ap01fm2E4dxNHN44R12moc14325/hWq9fXofq3iZx9l/HGdTzjC4X2cGowtK3M3GPxStdX15Vr8MY69D1aiiiv04/Gz80v+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+zd3bcpWjflRX4K/8HN/ij4yX/7beieEvGEt+vg6w8IwTeDoJI9tq8krH7ZIhHDyGREVieQEjHAxn96q8++Pv7Kf7On7Utpo9j+0J8IdH8WRaBfG70dNWgLfZpSAGK4IyrBV3Kcq21cg4FepnuW1c2y94enPld0/J26P+t0j1/CvjbA8AcX082xdD20FGcbK3NHmXxRvpfo9V7rkfnN+x98YNC+JH7EXg7Qf2jP2yr6O41Pwu1nrvh27+INnZxtZbpIo7eSNdrxo1sI1I3BiGOSCTXu37CPhPwH8NP269f8ABv7Ofh/TtM8K3vwqt7vx1p/h2zhWwg1JLuJNJdjH/q55bR747RjfHGkhBJDN9V/tG6Xpsv7O3jy1k0+Ext4K1RGTyxgr9klGPpivEP8AgnH8C/g/8APE/jbwl8F/h9p/hzTrrRtDu7m109WxLO0mpKZGZyzMdqqOTwBxXy9LKMRl/EGFjUxEql1J630sttW9GFXijDYzA5nWjTdNV5O1KNvZLnle71WtPTkSjuk+Zctn9UUUUV+gH5weP6p8G/2JLz9r2y+Ker+HvBDfGpNHzYzzX0I1k2YjeLzVty+5lEfmJ5uwkKCu7AwPXFtbVGDJbRgjoQgr+Yv9pH4x/tU6D/wVC8U/E7xB4v1rRviTp3xFngtb95Ft57JFlMEEabvkSIW5RFB+QxnnKkk/s54J+OnhM+Jo7DQf2zrrxDd3ga3t9JuPHtndeczf3I4wHL8cbTnrXwsOMsHQlVjKg0+Z7W185bWffc/aPEXw0zDhahlk6uPWIVaimrtvktZ8sNX+7973Hpf3tEfblFYvw8udbvPBOm3XiIP9se3BmMgwx5OCwPQkYJ962q+1oVVXoRqJW5knZ7q6vqfjVSHs5uPZ2CiiitSD+dX/AIOCfFnxq1T/AIKaeJNL+IdxqKado9hp8fgSGaMpGmntAjl4AOGDXJuMvySylT90AfvV+yhq/wAUPEH7MPw8134221xD4xvPBWmTeKYru3EMq6g1rGZw6DhG8wtlR0ORXzP/AMFJvgL8Gvi78V5/FfxO+HOna5qHhb4aSXXh+5v0ZjZTeddNvVQwVjujQ4YEfKOOtfadiS1lCzHJMS5J+lfJZJh3Sz3HXk3rH/ya7/DZeR+vcd8d4HibgnJMro4RUp4WDjKWmrSjH3ba2lbnnf7Xe13LX51f8HMPif4xaB+wfpmnfD2W/i8Par4wt7bxvLZR5U2nlu8KTMOVja4WL2LBFJ5AP6K15F+3X4S8N+PP2XfEPgrxjo8WoaVqt5pVrqNjPnZPC+p2quhwQcEEjgg17ec0nWyqvBO3uv8ABX/HY+K4Izyjw3xdgszrUlVjSqRk4vqr9L6cy3j/AHkj8fv+CGfxm1rw98LfG3g3xl+05f8Agrw7Z6xaz6DYQ+KbTTkluZY5PtTgSgs52x22T90duSa+p9W8GfA3wx8SPhr8Xv2c77TdY+Jep/GKx+x+KdMvYdT1TWhczomtLcTgsZYl057h5P4YFRCojzz9a/8ABPT4U/Df4Q/DbxX8Pfhl4LsNF0TT/GrfY9Os4sJHv03T3Y5YkklmYkkk5NeReAPgH8GdE/bwj+PWk/DjTYPGWo/FLVrS98QqjG4kgFlers5bao2xoCVAJC8nk5/PYZVXp4bA15V5NTnBKOto3101e3oj9DznjrA5vxpmea06MqMJqTUI2tUtFRUauqXLPWVS3PdtpLXmX2/RRRX6ofiZ/P8A/wDByh4s+NF5/wAFCI/D3jS41CLwzpHhiyk8BxuhSARyIrXU0RHDOblXVm+9+6QdFWvsP9ln9oK1+IP7LXg7UP2h/wBtq/m1rV/DcZ8T6Nq3xAsY0mD7gYZouGAaIqGUkNhjkg5r76+Of7J/7OH7TF/oGp/Hr4PaL4puPC94brQZdVty5tJSULYwRuVjGmUbKttGQcV35s7QnJtYyf8AcFfGV+F8ZWx9avHFOCm76Xv6PVaLZb6H7DxH4mZZnXAuU5FTwKjUwaalPSz0t7ujfv8Ax1L299Lfc8p/Zd8IixOuePd0pGtLaQR7seWyQCUh045yZyM5I+UY6GvWqAABgCivpctwSy7AwwylflW+19bn5Lia7xNeVRq1woooruMDzj9pjR/7U8I6ddtpa3A0/VhcpLglrdzDLFvGPVZXUk8fPWx8CPBzeA/hXpnh1/ODb7m6dZwA6tcXElwVIAGMGUgDqAOea6+ivNp5coZrPG8zblFRt2s7/wBfM6ZYlywqoW2d7hRRRXpHMcD+0doq6z8PUZ9LW5FnqUN0GIJMBTdiQY9M454wTU37O/g9vBnwyhsnEwe91C8v5EnGGUzzvLjGBgfNxnnFdx160V5scuSzZ47m1cOS3zve50vEt4RULdb3+Vgooor0jmCiiigDwnwV8N2m/aHXVTpUlmuja5qGqssKkRvJcRXMZZiwOQ5uXfgjJ6cAivdqKK83K8uWW0ZwUubmk5XfmdOKxLxM1K1rJL7gooor0jmMf4haUuu+Ata0OTTkvEvdKuIJLSTO2ZXjZWQ455BI49a86/Ze8GPpV/r/AIzlinjOoW9lYqki4XbbNctkcZzm4YHnHygcEGvXaK82vlyrZnSxjl/DUlbvzaf18jphiXDCzo2+JrX0CiiivSOY87v/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", "info": {"equation": "34+44=78", "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+44=78", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "e77cf04d5ce1637dbb51a1a01e2a5d81bea744958e7e2a4f8780e00a09117076"} +{"episode": 43508, "episode_seed": 2828256923, "split": "train", "timestamp": "2025-10-28T03:46:51.114630", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 2828256923, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 5, 7, 5])", "action": "('move', [8, 5, 7, 5])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "95+98=193", "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": "95+98=193", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "6cb3e338204a5e4185a965f7746b19fd0e64aef5a4a266b05af17613d3f69430"} +{"episode": 43509, "episode_seed": 3945064091, "split": "train", "timestamp": "2025-10-28T03:46:51.169580", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 3945064091, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [7, 1, 3, 8])", "action": "('move', [7, 1, 3, 8])", "reward": 0.0, "image": 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", 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", "info": {"equation": "3+9*7=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": "3+9*7=66", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "0c661f9411fbddc426a63b51ca6252ff9c2effe373db3144a1c5c1f6ac6c19fe"} +{"episode": 43510, "episode_seed": 683975008, "split": "train", "timestamp": "2025-10-28T03:46:51.213743", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 683975008, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 6, 1, 8])", "action": "('move', [5, 6, 1, 8])", "reward": 0.0, "image": 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", "info": {"equation": "0*20=0", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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CibghwG9D/wCClnwu+H3xm+HXgT4dfFLwnba3od/8RojeabdlgkuzStSkTJQhhhlU8EdPSqn/AATg+Ffw5+CyfEX4d/CjwbY6Doln4isXt9N0+MrGrvptuzsSSSzEnJZiT05wBXwjwso8bJ871jzfK1uX0P0SWcZPU4T1ofv1BUrcsfZr3r+1vfm9o9rcvxNz57e4fkl/wcg+NP2hdV/b7u/BfxMl1OPwRpWk2knw5tpodlpJBLawm7miI4kc3QlRmPzARovQLn7U/wCDYLxL8ddW/ZM8W6D48tr3/hCNL8Rxr4CuLq0CIzSCV79IX4MiLL5ZPUK7uAc7gvv/APwUg+A/we/aD+KHw08H/Gr4f2PiLTLbRvEN3b2d8XCxzrJpaBwUZTna7Drjn6V3/wDwTx8J+GfAfwCvPBPgvQrbS9I0rxrrdrpunWcQSK3hS9kCooHQfqTknJJNLAYWVPjSt77douXre2j8lfT0R91xD4oZZm3g5g+G4YFQq0+SLnpyr2bfvw6+0qW99u3xT1dz3WiiivvD8BCuX+MNn4fuvAN63iF9iRKGt5VQM6y9F2g9STx9Ca6d3SNDJI4VVGWZjgAetfNv7U3x/sLbw/deIbDTb2/0/SIgbTTrWLM+pXjsI4oYgATvkkdIk7ZfPSvB4izChgsulCaUpVE4xj3b0+5X/JdTvy7D1K+JTWijq32PB/2hviH4WuPEWk/BjxNLdR+HLy6srn4oapZLEw0vQpbjyQspeaMxLcTBY3cBiluLh8fKDX6B6Vpul6NpdtpGiWFvaWVpbpDZ2tpEscUMSqFREVQAqhQAAOAAAK+XtA/ZEvvhj8GJvEXj+O21bxR4nka8+JLMUmgnmliWIW8eI0DW8MSrAoKjKLuIJZie3/Yd1DxV4Y+H7/BHxfqBvovC58jwtqslyjy3OkglbeGUBEImgQLExwwdQj7yzOF8HhlvJ8XLL8TFRnNKSffTb5a/NM9DM0sZRWIpO8VdNdvP+vI9yooor7w8AK/mX/4LLeNP2hfF3/BQ/wCI1n+0NNqazaR4hurLwnaahD5ccGhLO5sTAo+Xy3hKybh99nZm+YnH9NFfFf7bf7MfwA/aJ/bBjm+OHwq0zxK2j/D7Sf7MOo+ZiDzNQ1PeAEZQQdiZDZHHuc/I8aUXUyj2nM1yyWnR3019Nz9h8FeO8BwFxPUxWLw3tY1ION1bnhre8b2Vna0ldaa30s/lX/glt+01418V/si6XdfH79tvW9H1Cz1Gax0OyuvHdnaOulwxxRwZSQGQgMJVDP8AMQo6jBP1B4LsfAnxe0bxD4Y8CfE0eMLzxArwa7q9rrkOo3bvNb/Z1aR4sqpWGNVXKgbYuhwTX0N+xBpum237I/w+trbToI4ovDNukUUcKqqKAQFUAYAAAAA4AFerRwwxZ8qJVz12riuCHCeJxmGh7XFycWk7NNrbpeX3Ox8ln3FOHzPPsVjqOFjS9pOUlGNrRu720ivntd9itoGlpomg2WixuzLZ2kcCsxGSEULk4+lW6KK+8SsrHxYV8e/8FPvF/ijw/wDFv4H6P4o8Q3ukfC291/UZ/F98jLFZSavbxwS6PBezkjy4WlFxIASFeWGIHJCg/YVeK/8ABQzwr4d8c/sm694M8XaRFqGlarrOhWmo2M+dk8Ems2SuhwQcFSRwQfQ15md0XiMprQUnH3W7ry1t87Wfkz3OG8dh8uzmlWr0+eD5otaXSnGUOaN9OaHNzxv9pLVbngPws8f+MJf+CmXgrwZ8J/EE99YDwTqsXxZ020iimttOtFUS6ZJcP963na5dwiZDNG7EKVyw+Qv+DpXxp+0LD8U/APgCaXU4fhXP4fF7arHDts7rXVnuEmEjj78kdv8AZyqt90SuV+82Puf/AIJ+fAT4M/s9fHrxV4V+Cfw403w3p954L0+6u7fTkb9/N9tu1DuzlmYhQAMnAGcYya6//gpZ8L/h98Zfh14E+HXxS8KW2t6Hf/EaL7Zpt2WEcuzStSkTJUhhhlU8EdK+PwuFlU4Jn77XxS+Sfw+jtf1Z+l8N8Z5Nwp4i4PH08L7WjQj7NtqKqScuaTq2u4qcefliuZ+5GMebqvz5/wCDV/xL8dX8T/Evwgttev8ADNNPiu3me0H2ePXS8SKqSnne1sGLIMjCRk4yu79la+Zf+CcHws+HPwXj+Ivw7+FHg2x0HRLPxDYvbabp8ZWNWfTbdnY5JLMSclmJPTnAFfTVfTcMU3TyOjd3ur+l3sfLeJ3E2G4v42xWaYegqMJtJR0u7JLmlbTmlu7el3a7KKK4n9pTVPihof7O3jzWvghZSXPjO08G6nN4St4rdZWl1NbWRrZQjfK5MoQBTwc4Ne5OXJBytex8RhaDxWJhRTScmlduyV3a7fRLq+x5rZ/s9f8ABNuL9seb4jWPhX4bj43faGvJo01OA6usxtgWnNn5mRIYTvMnl7iG35ySx98+x2f/AD6x/wDfsV/JLH8WfjZ4f+NzfGX/AITbXbXx/ba+2oSa7JO66gmoiQs0jM3zeZvyCD7gjHFfub8M/j7puofDTw7ffEL9vnVLfxBPoFnJr0H/AAsnTk8q9aBDOu1VIXEhcYHAxgV8Hg+M8FDn5sO43bfupa+b217n7v4seE+ZcHQwNSrmX1nnhyLnbvDktpBNy/d+97u1u2p+iCIka7Y0CgdABilrwr9nj4jeI/H/AIitdb0Hxedf0a7hJmv4Lxbi3dVBUOroSmdykfKeSG7jj3WvqsozSnm+FdeEHFXa18uv9dbo/C8XhZYSryNp6X0CiiivUOU+EPHnjHxPd/8ABSn4j+HvjF4ivLX+z/D+lw/CPSb9lhtbjSJbWObUbi0GR9omN7E6ytyyJBGDtUAntP8Aglz498Y+OPG/xvk0vX7jWPhpD42tpPAmrtFEbaW7lty2qx2s8f8Ax8QJchcNllDO4DE7gs//AAUg+A/we/aD+KHw08I/Gr4f2XiLTLXRvEN3b2l8ZAsc4k0tA4KMpztdhjOOenSu/wD+CeHhLwx4C+AN34J8FaDa6XpGk+NdbtdN06yiCRW8K3sgVFA6D9SSSckk18HgMLKnxpW99u0XL1vb3fRX09EfomZZxk+I4XThQtXnCnSa5Y8kPZ8t6kGnzOdT2a5rxVuep70ubT8DP+Cy3jT9oXxb/wAFEPiNaftCy6ms2keILqy8J2l/D5ccGhLPIbEwKPl8t4Ssm4ffZ2ZvmJx+y3/BAbxL8dfE3/BNrwvL8cba9RbLULi08Gy39oInm0KNYhbMMAF0DeaqOwyyIuMrhi39tv8AZj+AH7RP7YUc3xw+FWmeJW0f4faSdMOo+Z+48zUNT34CMoIbYmQ2R8vua9//AGHre3tP2Rfh7aWlvHFDD4Zt44YYkCpGighVUDgAAAADgAUZHhZUeKMUnNvlX38zT19D7rj/AMUMs4o8NstyWjgVSqUuW8tOWPJFx/d21XPvK9rbe98S9Vooor7w/AT4m/bM8YeJ7T/gop4H8K/ErxDead4GT4fyXfgOGdlh0/UfFD3U1vdI0hI825SyeERREk4nlKqSWI8RtP2hNOs/28/GXg3Qv2srrw34Tg8E2c3iCHT/ABRY2VtH4hWcQLEsjgs8gtY8SICdjJhgpwD+jHxx+AXwa/aV+H8/ws+O/wAO9N8T6BcXEU8mm6nEWUSxtuSRWBDIw5G5SDhmHRiC74NfAf4Ofs9fD6z+FfwV+HWmeHPD9i8j22madBhFd2LO5JyzMSSSzEnpzwK+NxvDGMxWbTxUMQ4JrpfmXktVp8/K3U+/p8T5FDI40pYZyrqHs7Wj7O17+1v8XtHquXl+J8/Pb3D5E8IeOvhd4v8AGVtLa/tIp431uK0nh0yC/wDGNrfzW8TlHnEMcWCA3kxljg8RDpg5+qv2bfh+/wAO/hu9hKLhZdS1m+1SaO5ADRvcTtKVxgYA3cA8+td2ltbRtujt0U+oQCn125Tw/PLcbLFVK7qSatqvTrd32Vj5PF5isTQVKMFFJ30/4ZBRRRX0p5g2aGK4he3nQMkilXU9wRgiuI8HfAvQ/CHif/hI49UmuBESbOCSMDyiQQSSPvHnjgY967miuTEYDB4urTq1YJyg7xfZ/wBdzaniK1KEowdlLcq65o9n4g0i50S/UmG6haOTHUAjqPcda5j4dfB7S/h/qU+rpqkl5PIpjiZ4wojjJBxwTk8cngewrsaKKuAwdfEwxFSCc4bPt/XnsEK9anSdOL0e6CiiiusxCvz1+F/xH1R/2hfjnqn7QXjV7LxfpXjy9jFj4iuo7WPTvCdq7HSpoELACzMEplaf7pllkLNuyB+hVeVftC/sP/smftX6zpXiL9on4EaF4rv9EheLTbzUoW8yKJmDGMsjKXTcMhWyAS2ANzZ8HiHKK2cYNUqc+Vp312frb8D6jhnNcry+Valj4S5KqS54RjKcXF82ik4pqW0lzRezu7csvgH9i/8AaKsdX+G+vx+JP24NZ0vSLDx3q1l4Gtp/Gen2Df2FFIq2pEJXIXPmhWbllUHkYJ+ovg58Yb/xYtvpfw1+OU3jSbT7jDzx6/DqEgMhLBZjBxjAONw4VTjpmvqiz0bSNOs4dO0/SraC3t4ligghgVUjRRhVVQMAAAAAcACp44YYs+VEq567VxXkrhXHWSeOnZW016dve+7sLMc/wWMx1StRwkacZN2iraLpf3Vd93ZXd9EERkMSmVQH2jcB0B706iivtFoj5gK+PP8Agp/4w8T+Hvi18D9I8U+IbzSPhbe+INRn8X3yssVlJq9vHBLo9vezkjy4WlFw4UkK8sMQOSFB+w6xPiT8NvAXxh8Car8Mfih4Tstc8P63aNa6ppWoQh4riJuxHYggEMMFWAYEEA1wZpg55hgKmHjLlclv+P3PZ+R7XD+Y4bKs2hiMRT54WlFrS6U4ShzRvpzQ5uaN/tJarc/Nz42fHa38Jft0+BPBXhT9pK48KQz+F9UX4jw6dr1naJBbRp5un+dLKCY5TcTNiPhmRw2CpJr03SviT8JvFfiTS7bUP2sh4vvIL3zNG0rVPHdndgXbRvEHjij2s0uySRB14kbjOMfWH7P/AOyr+zt+yv4Wu/Bf7Pfwj0jwtpt/em7vbfToSTPNtC73dyzNhVAAJwO2Mmu9W0tVYMttGCOhCCvkqXB+OWF9lLFtLrFJ8v8A6Ur/AHHsZvxBlNbEU44LD+5Tjy88lGM5vmlJzklzJP3uVLmlaMYq7seX/su/D9/Ctl4h8XzC4WTxLqUFwY5gAoWK2igUoMA4ITOTnOcjivVKKK+wy/BxwGChh078qtfufJ4is8RWlUatcKKKK7DE8lt/2Ef2PrT9oF/2p7b9nzw4nxAkumun8Si1PnfaGj8tptufLEhXOXC7iSWzuJNerfY7P/n1j/79ipKKzp0qVK/JFK7u7K133fmdeLzDH49weKqyqckVGPNJy5YraKu3aK6JaIRESNdsaBQOgAxS0UVocgUUUUAfCHjzxl4mu/8AgpV8R/Dvxj8R3lr/AGf4f0uH4R6TqDrDa3OkS2sc2o3FoMj7RMb2J1lb5mRIIwdqgE+P/AL9pHR9V+OPxj0y3/bRvdH8EWXim1bwlHaeMbCytnuZoGl1LyCQTPEJ2QiTJX5jgnkD9DP2iP2Tv2cv2s9AsPDH7Rnwi0jxZZaVdm602PUo23W0pUoxR0KuoYHlQcNtUkEquOp8CfDnwH8MfBmmfDz4feErDSND0WyS00vTLG3VIraFBhUUD+fUnJOSa+Jr8K42rmdXEwxLgpapq/Nr03Wi6a9tD9Br8UZFPJ1COGvXdOnTaaiqcPZ8l6kHrJzqci5rxVuep70ubT49+Gvir4e+LvFV1e+FPjWnjrX5bWGOeeTxLBqV2ltHI5jjAh5WMSTOR8v3pTzyBX1h8C/AMfwu+D3hz4fRSzONJ0qKDdcEFzgZ+bAAzz6V1MdvBEd0UCKfVVAp9epk2QyyrEVK86zqSmkrtfnq7nx+Mx6xVOMIwUUv67IKKKK+iPOCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooA+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": "0*20=0", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "d2a12cda41dc9621e8d4c5ec577d9633b8edaeb055fc0fdd7eea492e737ba99c"} +{"episode": 43511, "episode_seed": 3599235147, "split": "train", "timestamp": "2025-10-28T03:46:51.281685", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 3599235147, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [7, 0, 5, 4])", "action": "('move', [7, 0, 5, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "2+20*6=122", "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+20*6=122", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "b1a405be8bc31d0825150f50659be1be464e2fc94476fef725f7253ceee5fa90"} +{"episode": 43512, "episode_seed": 3360260400, "split": "train", "timestamp": "2025-10-28T03:46:51.330005", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 3360260400, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 0, 2, 8])", "action": "('move', [0, 0, 2, 8])", "reward": 0.0, "image": 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", 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um6faR7IreFNVugqKOwAH1PU5Jr2euzJYOnlFCLd/cj+Kv+GyPD42zqjxFxbjcypUlSjVqSkorpr1t1e8n1k2wooriPjV8Q4fCmhvoNjI39o6hCVh2gfu0Jwzn9QPf6V0Y7GUcvwsq9V2UV9/ZLzex85QozxFVU4bs8R/aq+Ivifxt4osfh58M7kf254h1IaF4WYIjiGRlZ7m+KNIodIIY5pzg/MIkXqwB+hfhX8NPCnwc+HOi/C7wRYC30vQ9PjtbRABuYKPmkcj7zu252bqzMzHkmvDv2MfAUvjbxzrf7S2vWbLawfaPDvgaKUqdtpFMFvbwKYwyGe4hCL8xzFbRsMBzn6RrxuHMJVVGeOr/wASs+Z+Uei+79Ox25lVhzqhT+GGnz6sKKKK+kPNPjL/AIL3+Lvjn4N/4Jt+K7/4GS6jDJc39raeKrnS4t0sOjSF1uSSPmRCfLR2XojtnCliPx+/4IufFTxd8P8A9qi40Kz+M954K8M6voU7eJ7611m3sFlEKMbZWlmBGfOcAKvJ3HtnH9Cf7UsEN1+zH8RrW4iDxyeA9XV0YZDA2UoINfO37AP7OnwM/Z9+OWr6F8Fvhhpfh211LwWlxfxWKMTcSi7CqzM7MxwOAM4GTgcnPwnEGAq4riHDRhVcHNNJr7PKm9NVufuHCPiPl2ReFuZcP1cEqlStK6npZ83KrzvrzU7c0LX1tta78x17wx+yR8e/EA1L4s/FXQvijeabo91HbReMPF1rqiaZZsAbqSKIMEgBATfPtDAInzrtFe9/8El77xJdfsdWNjfy3k3h3TfEmrWPw7ur63WN5/DcN06ac4xjfH5IARz96NUOSCGON/wUK/Z3+CH7QPxZ+HXh340fDPTfEVjYaHrtzZ218HCxSm40pS42MpPykjByOelexfsYWlrYfsp+AbCxto4IIPDVvFBBCgVI0VcKqqOFAAAAHAAp5DgamD4jxFOdVzcYq7fW9nrq9tlqfFZjndGvwhSwi5pSlO/LK3JSUefSnq3efNeXuwSta0r3Xp1FFFfdHwh4l8dPgb+wN46/aC8HeNv2g/DfgG4+JNq0K+C38QahDFqM5jmLxLDC0im42yklRtfDE45Ne0mztCcm1j/74FfzIf8ABV/4gftC6l/wUk+JGufGLVdYtNe0LxfPB4ZebdBJZaXDOzac1vtxsTyTHKrL95nL53MTX6m/s3ftJT+IPgR4K8U/GH9vHU7fxVeeHrO58QWk/wAQtPh2XTIGdWiC/Jz1Xt04r4aHGGDw+KrQnQatK14pXdtLy21+8/cuPfC3MeG+GMpx1TMVXVaGkG3andKdqWrvDXVpR1s7e9p+kqqqDaqgAdABS15V+zb4v8R+Mhe6zLrTanpN1Alxa34n82KRn+YGJxlWVlOflOMbcdefVa+qyzHwzPBxxEYuKd9H5Ox+K4rDywtZ0272Cvzj/wCDmTxb8cfDn7E2i6X8NptRh8L6t4oW28eT2Efym32breKZxykTzAegZgik8gH9HK8g/by8NaD4z/ZT8UeEfFOlx32mapJp9pqFnNnZPDJqFsrocEHBUkcEHmozii6+VVoKVvdeq8tfx2fkfRcEZ7R4Z4uwWaVqKqxpVFJxfXpdX05lfmi+kkmfiP8A8EMPi/4o8G+PPGvg3Vv2gb7wP4Pm0dL2f7P4httOS41MTRxxfPMCXPk+d8q8YAJ/hr7y8e/D79h/41WviPxt8aPH3h34hzxeHxBq/iDxP4ottTuNK05WJUROGC2iiQlgyBSztgk5xX0D/wAE7/gl8JPgZ4m8feAvhF8P9O0DR1g0i4+w2MZ2mV/tm52LEszEKoySeFA6ACuG/wCCgv7NfwF+NX7Ql94h+LHwq0nXrzw98M7ObRpr+NiLZzdam5IUMFcFo0OGDD5enJz+aVsqxEOG44t15OOnua2V5W7289j9J4k47wHEniRWzKjTnhYSsuanb2rUYrV2lFXk0rvmdtNJW19y/wCCc2ufFTxJ+w/8NdZ+NC33/CQzeHE+0PqloILmW3DutrJLGANsj2whdsgHLHIByK9rrnPg8xb4SeFmY5J8OWJJP/XuldHX6vh4Olh4QbvZJXe7st2fjOZ4uOPzKtiYwUFUnKSjHaPM2+VeSvZeQV/KV8e/in+02f2x9e+K3xY1rV7L4qaf4z+03V1eRiO5sdRt5h5SqhyqCIxxqij5AqKB8oFf1a18BfH39nH4F6/+1p4x+P8Arnwu0u68Z6d8SvDsNh4hnjZp4EWHRVXaC2zIV2AbbkZ4OcV8nxlh5VcPQkpNe+l/4F19VbT1Z+ueDXiFl/AWKzB4rCKv7alZbXTi37rv/wAu583v2u/djozEvfH/AMH/AIo/C6Dwb8cf20JtastV0m3TxPoGpfE2zW2u2KI00EwhKExlwysgYBlypyCQek/Yx8K+Dvhf/wAFFL3wd+zX4fsNL8P6n8NHufilpXh2whSwtb2K4iXR5JPLGILiSKS+wg2740DlTnefp/8AbX8P6Jrf7I/xG0XVtKgntLzwjewXUDxjbJG8RVlOOxUkfjXlH/BPb4D/AAc/Z7+Kfjzwd8E/h3p3hvTLnw/ot1c2unI2JZjc6ou9mdmZjtVQMngDjFedDKsRgeJMLCpiJVG1J3d76J6at6PqfL4LiDDw4fxseWS504qkreyvOyc5a/FCycEoP3oxbkuWz+rKKKK/Qz8+CiiigD53sfhV/bPxuhsTpEtill4vfXZhbKQhkE0kxclgfld2JPqScYr6IoorysqyuOVwqRU3Lnk5a+fT/gnVi8U8VKLatZJBRRRXqnKFeYftPaENV0PRtUbR1uBpmpPPHc4Ja2doXi3DHABSR1JPqPWvT6K4cywf9oYGeH5uXmVr72N8NW+r141LXscR+zx4JbwD8LrbR5BOHutQvtQkS5ADI11dS3BXGBgAyYAPOMZya7eiit8LQWFw0KKd1FJfcrEVajq1ZTfVthXI/Eb4RaX8Q9QtdSuNTltZIF8uUxRhvMjyTjnoQScHkcng111FTi8HhsdQdGvHmi+np6Do1qtCfPTdmR2dpBYWkVjaxhIoY1jjUdlAwB+QqSiiuhJRVkZNtu7CiiimB80/8FWPEPjHw9+zHY/2Jqmoaf4dv/HOj2XxG1HTFAe18Oyz7btnfrFCx8qOWQfdikfJC7mHzJ8Z/jppHhv9r/4ceHfC37ST+FrW+8MavL4vOkeIbO1i+w+XFJYySTSZ2lp2HlgH50ZiAVBI/SjWNH0nxDpF1oGvaZBe2N9bPb3tndRCSKeJ1KvG6sCGVlJBB4IJFcF+z1+yP+zZ+yjoOoeGv2ePg9o/hWy1W7W51KPT4mLXMqrsUu8jMxCjOFzgbmIALHPyub8P4nMsyhiaddwSVut1v8Oq3vrqvmfbZRxDk+CySWHxGH56sfaKOkeSXtIqPNNv3lKn8ULKSb5fg5W5fMvgTx18PfGXi+H+x/2iD471uK0kjsbe68W22oz28LPG0oijhwQGaOHccH7idO/1x8E/BKfDj4SeHvA0ckzDTNKihzcEb+BznAAzz6V0qW1vE26OBFPqqgU+unJ8inlmJqV6lZ1JSSV2u3nd3PmsZj44qnGEYKKXb/hkFFFFfQnnHmXxR/Y0/Za+NXxX0L45fFb4H6Drvi3w15X9ia5f2xaa28qQyxjggOEkJZQ4YAk4xmvSTZ2hOTax/wDfAqSiojSpwk5Rik3vpv69zqr47G4qlTpVqspRpq0U5NqK3tFN2ir62VhFVUG1VAA6AClooqzlCvlP/gp/4q8R+Hbj4Q2Wq67d6V8Pr74hAeO7+Fljt98dvJLpsV1KSPKt3vUhBJIVmCKTyA31ZWN8Q/h74I+LHgfVfhr8SfDFnrWg63ZPaarpd/EHiuYXGGVh+oIwQQCCCAa4sywk8dgalCMuVyVr/wBdOj8j18ix+HyzNaeIrw54LmTWl7Si480b6c0b80b6cyR+cevfHXTdD/br1XwXYftR3fhTRYfhtDJ4ntrHxLZ2MMerJfFbVGeQFjMbd7ktHn5VEbEDcufVfBGp+Avijfarpfhb41nx1rGoactndXJ8SQaldw237xUQeT9xA00jDK/ec8npX1V8C/2cfgZ+zP4DX4ZfAf4Y6X4Z0JbyS6On6dCdrzyY3yMzEs7EKoyxJwqjoAB2ccEERzFCik9SqgV8hDg3FSwyo1cW+XrFJuPyvL9D2M04gy2ri08FQtCMVFSlZTlbeUkrpNvopOysuZ2u6PhDQo/C3hPS/DMUjuunadBaq7kFmEcaoCccZ47Vo0UV92lZWPkW7sK/J69+NGpaJ/wT18c/EP4p/FW+0v4oC61SbxLcX00MepWPi5Ll2t7VYGyEKSQW6QxBcfZ4kZQVG4/rDXmWrfsZ/sta7+0FbftVax8D9BuPiFZoi2/imS2JuFKxGJWIztZ1jO0OVLABQCNox8/xBk1fOIUlTqcnK7/8H1VtPV6o+u4WzvKMqjVhj6LmnKE1yqLbdPn/AHb5rWhU5/eau1yxfJLY+QtF+Mfw88R+CNPsPib+25NqTXelW41/R9R+I1g1vcSNEpmhkRMZQtuBUEccZr6o/Zf8Gm213XviS7TZ1WwsrGPcB5bpBJcyb14ycm5IJyR8o9DXr32Kz/59Iv8Av2KkAA4ArnwHDdbCZhDFVsTKo4p2TXdW3cmePi80hiKU6cKSgpO+m299rBRRRX1J5AUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFQaraS6hplzYQ3LQvPA8aTJ1jLKQGHuM5oA+eP2d/8Agq7+xF+1L+0Jqf7Mvwb+J13feJbBb5rGS60K6trDW1spvJvDp13KghvRBIdsnlM23k8gE19HV+Kn/BK39m/9pmw/aJ/ZC/Z48Y/s3+OPCl5+yTZfEiP4oeLtb8Py22kX7arczLYrp143yX4uBKsreWTtAO7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", "info": {"equation": "11*8=88", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "11*8=88", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "94ebd1fb120600ab95df1f4a6597b07546c4c3f460f297ecc980bcac7bdbe81b"} +{"episode": 43513, "episode_seed": 2569161654, "split": "train", "timestamp": "2025-10-28T03:46:51.386235", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 2569161654, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 8])", "action": "('move', [0, 1, 3, 8])", "reward": 0.0, "image": 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", 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", "info": {"equation": "6+8*3=30", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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1q80hdRRmW2n86yy4AYBs7RkNkHHIr1j4maTpeqfsFa7Y6jp8M0Nz8JbiO4jeMYkRtMYMD9QSK/OauUYjF5zjVDEShy2btfVSTdnqtFst9D9uz/xGwGacC5HlFLBqnUwt71FbdWV4W1vP453t76Wr3PC/2BdE8O/Dz9tDxr8NvgJpdtp3gZvh/Zaj4r0fQ7WJNMsdfa58u1dRH8sVzNZKxkQY3RwwOw5Vm+2K+Yf+Cd3wS+EvwC1/x34G+DPgGw8O6S8Gk3L2Wnq215mN4GkYsSzMQqjJJ4UAcCvp6vpeFouORUdb3u/xeh+ccXZhSzHO5VKfM1GMY80rc8+WKXNKzau+13ZJLmdrsr+Wj40fGX9rDRf2+PF3xN8ReKta0n4of8JZf2l/dSMsFxAzb7ZrfDfIsXkHygp+QR4A+XFf1L14x8Yv2Tv2cIvEXi79qmP4O6KPiHL4Ov7R/Ff2c/ajF9jeLrnbu8sCPfjds+XOOKOIMorZrCl7Opycjv8A8H1XT1ep9j4W+IeXcA/2isVg1X+s0vZx20evuyv/AMu539+137sdGeAeG/HFv4P+NdnpUHxEOkXWq+BLKCx0kaokJ1IrPOx2xnDyvGBxs5UO2etfaPga41q68H6dc+IUYXr2iG43jDE46kdiRgkeua8H/Y4RG+JGqsyAkeBNFwSOn769r6NrzeDsBUp4OOLdVtTTSj0VpPz/AEW7PgM4rxlWdHlV09+r0CvDv+ClXib4x+Dv2Dfin4n+AL3yeLLLwnPJpcumRb7mFcqJpIh13rCZWBHzAqCOQK9xqHUCwsJyvUQtj8jX11em61GVNO101dbq63+Ry5XjI5dmdDFypqoqc4ycZfDLlknyvydrPyZ/Nr/wRe+J/ifwH+1lPp0PxmvPBegav4fuf+El1G31mCxEoiUtArTTAjPnMuAOTk9s1+ivx/8ACn7HnxP+HPjb4m/EP4n6b431rTvCxVPFWoeI7bVNT0cR73s1tCp/cP8AaSDGiKDLK207922vYf8Agmh+z/8ABX4L+PbO6+Ffw00zQ5fEPw2jvNbks42LXk/m2h3uXJPBdyAMAbjgc1H/AMFEv2f/AIKfEv43ah8QPH3w00zVtZ8LfDa0n8PX93Gxaxk+06m+5QCFJ3IjDcDgqCK/JP7Lr/6vLFe3ly81uTW3xWvv89j9y4u8RMu4l8R/7Uo0Z4eChFXhy+0lyrm96zS1do3vK0VF8smuU+r/ANn3UviHrHwE8Eav8XLWSDxZdeENNm8TwzQCJ49Ra1ja5VkXhCJS4KjgdK6+iiv16EeSCje9j8ExFVV8ROqoqPM27LZXd7LyWyCvmr9szxbo3w1n1LxbpVobq/SyiWPTkCD7VfyuIraFcsoLSSPGpyR97Oa+hfFXiXTvCOhT6/qjHyoFHyr952JwFHuSa+XvD/gHUv2lvj3eTaykn9m+DbQ6rJIWCpPrlyrpZoQYzuWCDzpGwww08BwSOPkuKn9dVPL6UVKpJ83oop6/PZfM9LKV7FyxE3aK09W/8j1v9iPT/Cdl+y/4UuPCczTfbrN7vWLqaBI5p9Ukldr5plRmCy/afOVl3NtK7ckKK9Wr5/8A2R4ta8DfEHxX4HlC/wBi6zc/2vYQ70VrO/OEvItgQHbIVjmByx3mfO3K5+gK9rJcZSx2WU6lNWsrNdmtGv66HFjaM6GJlGWvW/dMK/Bb/g5u8U/GW+/bc0Twn4vmv08HWHhGCfwbA8e21aSRj9rlQjh5PMRFYn5gEjHAxn96a8i/a0+EP7FXxX07w1F+2bofgq7trHWs+Fj4yv4rZftrgfuoTI6eYzhRmLkNtGVOBjPPsvnmeXOhGfK7p3e2nR/1vY+/8JuMcNwNxlTzOvhnXjyzjyxSc1zL4oX66We3uuR8Dfsl/G3Tvi1+xd4Usv2nf21dTfUNb8OPb+JdE1L4i2lsJrVnkjWGZAVkUPb7A2WDkMckEmvcv2EfCfgP4aft16/4N/Zz8P6dpnhW9+FVvd+OtP8ADtnCthBqSXcSaS7GP/Vzy2j3x2jG+ONJCCSGb6r/AGjdL02X9nbx5ayafCY28FaojJ5YwV+ySjH0xXiH/BOP4F/B/wCAHifxt4S+C/w+0/w5p11o2h3dza6erYlnaTUlMjM5ZmO1VHJ4A4r5mllGIy/iDCxqYiVS6k9b6WW2rejIq8UYbF4DM60abpqvJ2pRt7Jc8r3eq1p6ciUd0nzLls/qiiiivvz84PH9U+Df7El5+17ZfFPV/D3ghvjUmj5sZ5r6EaybMRvF5q25fcyiPzE83YSFBXdgYHri2tqjBktowR0IQV/MX+0j8Y/2qdB/4KheKfid4g8X61o3xJ074izwWt+8i289kiymCCNN3yJELcoig/IYzzlSSf2c8E/HTwmfE0dhoP7Z114hu7wNb2+k3Hj2zuvOZv7kcYDl+ONpz1r4WHGWDoSqxlQafM9ra+ctrPvuftHiL4aZhwtQyydXHrEKtRTV23yWs+WGr/d+97j0v72iPtyisX4eXOt3ngnTbrxEH+2PbgzGQYY8nBYHoSME+9bVfa0Kqr0I1ErcyTs91dX1PxqpD2c3Hs7Hkv7eXiD4ueFf2Mvib4k+A4vP+EvsvBl9NoLadD5lwk4iJ3RL3dRuK4BOQMAnAr8AP+CO3xe8e+Bf2wI9Ps/jfqfg/QNf0y7PjHUYNdisluEjhkkgMks+VLfaCmD9752A4Zq/pZrx79mT4MfsQfDXxJ41vv2UPDnge21TUNYx46/4RW9hnkjvFeU+VcKjt5DKzS4iwoB3YUYr57O8kr5njKNSnX9nyprrf1jqtej12P1vgjxBwXDPA2cZPVwPtpYpRtOytG/u++2npH4qe/v9r3Pi/wCNXhH9i/4xeD/Fvjv4w/FTSfHt3p3hOSKfxDrXii21O80S0VmeM2u04t288qVKqGkkKoSwIWvvH9k/V/idr/7L/wAO9c+NcFzF4wvPBOmTeKI722EMy37WsZnEkYACP5hbKgDByK+Zf+Ckf7P/AMFPix8VrjxT8Sfhppmtah4X+Gkl1oFxexsfsU3nXTb1UEKx3RofmBHyjivtWxJayhZiSTEuSfpXFw3g6mDzXGU51HNx5E2+t03d6vVbbnyud5xSxfDmEwy5m1KUvetaml7qhT1btLRz0jqopR927lr5j/4KUeJdf0EfCa1vNbutN8GXvxIjXxhdwkJAWS0nl0+K5kJHlwvfJbjkgM4jUn5gD9OV5F+3X4S8NePf2XfEPgrxjo0Wo6Vqt7pVrqNjPnZPC+p2qshwQcEE9CDX0Gc0nWyqvFO3uvVeSv8AjseHkGLoYLN6VWvDmhdprRtKSceZX05o35o305kjy/8AYc8aeMNf+Mfx103wzqs+o+GdMl0ZdMkEMbW8Ov8A2KVL+2ilX77JFFppkQk7HdlODkD8Sv2HvH/7Vuof8FdPBXjK9fWbj4l3/wAURH4tW5tN10FkmaLVEljYYRUtjchhgCNUONu0Y/eP/gnh8MPh98HPhr4r+Hfwt8I2eh6JYeNW+yabYoRHGX03T3Y8kkkszEkkkk15B4C+A3wb0f8AbyT4+aZ8OtOi8Z6l8UtWtL7xEFY3EsAsr1dnLFVG2NASoBIXk8nPxdTCSlleWPnfxxX/AIE7/wDktrI/YeEvEPJuF62eUVglUhiKCpwbUU7wg4XmtVy1L89RJv3kleXxH29RRRX6Ofgx8OfGvx5HYftsfFqy+NvjOTTNN0rwZpD+FINTnjt7WPQWt3a+u4CxAkJvfMSZznb5NupwCu7yj9mL47eHfGP7MnhM/GX9ti/lutQ0EJq+i6v47sLdZrZiypDNAApQNBsDJwRuIODmvvf46fsnfs3/ALTN/oGp/Hv4O6L4quPC9411oMuq25c2kjFC2MEblYxoSjZVtgyDiu/NnaE5NrGT/uCvjK/C+MrY+tXjinBTd9L39HqtFst9D7fGcR5RVyqjSpYb97amptqKUfZw5FyNXb9p8dS6j7yXxbnlP7LvhEWJ1zx7ulI1pbSCPdjy2SASkOnHOTORnJHyjHQ161QAAMAUV9LluCWXYGGGUr8q32vrc+PxNd4mvKo1a4Vm+MdPGreEtU0s2KXIudOniNtJnbKGjYbDjnBzjj1rSorsnHng43tcxi+WSZ43+y74F/sjWtZ8Xtbzw+bp1ppkcMibUCwPO/AIzkGUqeewHXNeyUUVw5XgI5ZgIYZS5uW+u27b/U3xVd4qvKq1a/8AwwV4x/wUP8Q/Evwr+xR8RvEHwjutTt9ctvD7NHd6JB5t5bWxkQXU0C4OZUtjM6kAkMoIBIAr2eggMCrAEEcg1116brUZU07XTV1urrf5GuW4uOAzGjipQU1TnGTi9pcrT5Xvo7WejPzM+Inxp8EeEPj/APCTwx8Of2kf+EY0W78J6q2pz6N4ktLeKTSFgg+xSPPJuwGnWMR4P7weZjcFYj1bwQngX433Op+FPDXxuk8b6lq1nHY398PElvqN1bWxMgRcxDEaKZJWG5cZZiSRwPpn4Ffsl/s2fsyf23/woP4NaJ4W/wCEjvRd61/Zdtt+1Sru2k5Jwq732oMKu5sAZNegxwQRHMUKKT12qBXxFDg7FKhGnVxT5U78qT5d79X+m59Jm+f5XVrxWAovlhHl5pqKnJtyk3JRurrm5V7z92K22T6KKK+8PjjK8a+E7Pxt4cn8PXszRCXDJMoyY3ByDg9fp6Gm+B/CFl4H8OQ+H7KZpRGS0kzLgyOTknA6egHoB161r0VzfVMN9a+s8vv25b+V72NPbVPZeyv7t728zk/D/wAJNH8P+OrrxvBfSO05dobZkAWJnPznPf29Mnr26yiijDYTDYODhRjyptt+r3CrWqVpJzd2lYK/Bb/g5u8U/GW+/bc0Twn4vmv08HWHhGCfwbA8e21aSRj9rlQjh5PMRFYn5gEjHAxn96a8++Pv7Kf7On7Utpo9j+0J8IdH8WRaBfG70dNWgLfZpSAGK4IyrBV3Kcq21cg4FcGe5bVzXL3h6c+V3T8nbo/63SP0Pwr42wPAHF9PNsXQ9tBRnGytzR5l8Ub6X6PVe65H55/saftAr4//AGQfBl1+0R+21qX9s6loLR67o+qfECyhEkBkkRIpYj84DW4jDBjuIYknJNfdv7K3haGCfW/iDbO7Q6vZ2NrbMpBieKA3Dq6ED5gftJGckHAx0OfW1sbFFCJZxAAYAEYwBUoAAwBgDsK87L+HK2Dx0MTVxMqnImkmu6t1k/6sfNZ1ntLNsViKtPDxpKrOU+WO0bycuVaLRbLyCiiivqT5087v/wBkz9m7U/2gLf8Aao1D4OaLN8QrWz+y2/ip7cm5SLy2i9dpby2ZN5G7aducACvQFtbVGDJbRgjoQgqSiohTp078qSu7u3V935nTiMZi8WoKvUlPkiox5m3yxW0VfaKu7JaIKKKKs5jyX9vLxB8XPCv7GXxN8SfAcXn/AAl9l4MvptBbTofMuEnERO6Je7qNxXAJyBgE4FfgB/wR2+L3j3wL+2BHp9n8b9T8H6Br+mXZ8Y6jBrsVktwkcMkkBklnypb7QUwfvfOwHDNX9LNedfBT9kn9mv8AZy1jxDr/AMDvgzonhq88V3guvEE+m2203kgZ2GckhVDSOQi4UbjgCvms7yPE5pi6VWlWdPkTWl7q/VWa1ez1Wh+tcFeI2XcLcE5tklfBqrPFpKMtLLS3v31tD46dk7Tvte58xeD5fAXxoutV8K+HfjpJ451XVtM+wXNwfE9vqN1a2r71AURDCIGkZslcZPJ7V9wQRCGBIQchEC8+wpI7eCI7ooUU+qqBT66cmyaeVSqynVdSU7XbXa/m77n5njcasWopQ5VG+3n9wV8xf8FKPEuv6APhNa3ut3Wm+DL34kRJ4wu4iEgLJaTy6fFcyEjy4XvktxyQGcRqT8wB+naw/iV8NfAfxi8B6r8MPif4VtNb8P63Zta6rpV/HuiuIm6qR1ByAQRgggEEEA135lhZ47A1KEZcrkrX/rp38jfJMdh8uzSnXrw5oK6a0btKLjeN9OaN+aN9OZI/Ozwz8fNGtf2pPin4Tb9rq98MaBpqaL5dhaeLLKwgTV2t5UvUUuC0jLFDZBwSdjll4IIH0N+zDofhH4geL9D8R+DPG/8AwkVpo+sXOo3Wt22qRXv2m6aCeJ/OmTKlz9oJIGDwO1e/fB/4HfCP4AfD2w+FHwa8Aad4e8O6Z5n2HSrCHEcRd2kc/NksWdmYkkkk11McccS7Yo1UeijFfMYPhTEUKlGdXEuSptS5bO110V3p622PUzjPMDisTU+p0OWDiopuyk1GKjzSSulKVuaSUnZvd7t1FFFfaHywUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFch8fPjv8K/2Yvg34h+Pvxt8VRaJ4V8Lac17rOpSoz+VGCAAqqCzuzFUVFBLMygAk119fJv/Bb34K/E/wCPP/BNnxx4O+D3hK88Q65p+p6Fr0Xh3To99xqkGm6xZ309tEn8cjQ28m1OrMFUcmgD2T9kv9rz4H/tr/Cg/GH4Da7e3Wmwatc6Xqdlq2lTWF9pl/bsFmtbq2nVZIJVypKMAcOp6EV6dXxd/wAEbfC3j/UIP2gv2l/Ffw18SeD9H+Mfx71HxN4N0DxdpEmn6iNMFjZWiXM9rJh7d5ZLaRtjgNtCk9RX2jQAUUUUAeN/tlft4/s5/sG+F9A8W/tE6/qdla+Jddi0nSV0rQ7i+d7iRlUFxCjCKMF0BdyFy6jkkCvZK+GP+DhHxZqVr/wT/ufhr4a+FnjrxXrXifxfoLabY+CPBd7rDxrZavZXs7zC1jcwr5MEhVmwGYBRya+yvhj8QNK+K/w50P4m6FpWrWFl4g0qDULSy17SpbG9gjljDqk9vMFkglAOGjcBlIIIBFAG7RRRQAV4F8Sv+Cl/7Jvwi/as0L9jn4heKda07xZ4i1G203Tb2bwte/2Q2o3MJmt7BtR8r7MLqSMBli37sEZxmvfa/OP9u7413/xq/wCCrnwh/ZR+KfwV+KVv8K/hh4k0nxcviHw98MtT1Kx8TeLpDs02F72CFobSxshOZ55XbmTCNtWNmoA/RyiiigAooooA8C/Z2/4KWfsq/tQfH7xF+zN8Mdd8QxeLvDmmPqb2PiHwjfaYmpaelybVr2ykuYkW7txMNnmx5UkjGRzXvtfmr+wdpXin4gf8FpPiJ+0n8Mfgp8adA8Fax8KJrD4gXfxr0e5h+xeIhq4lgsNGe6LFbQRGd2jtmNtnYV7V+lVABRRRQBHdXVtY2sl7e3CRQwxl5ZZGAVFAyWJPQAc5ryn9jH9tr9nv9vv4Qz/HT9mbxRc6z4Zg1+80cahc6fJbebcWzKshRZACyfMCrjgg1if8FL/h/wDtC/Fj9h34gfC79lzRIdS8YeI9Mi0230+bXE0w3NlNcxR38SXbqy28jWbXKpIVbazKdpIxXz1/wb5eCvj38Nv2fvi54H+Nv7K7/CiCH4/+KLrw9obaoblPs811looCYIvMtoSqxxXKgpcIBIoUcUAffVFFFABXjX7Yn7dPwV/Yh03wve/F3SPF+p3PjLWpdK8OaR4I8IXet315cx20ly6rb2iPIQsMUjkgcBSe1ey18O/8FyPBHw08T/Bnwr4i8c+Cf2gL/WPD15qt54F1j9ny1u31HS9bfTpbeBp3s/38UcgmdAw/dn5hIQpwQD7M8A+MtO+IngbRviBpGnalZ2muaVb39taaxp0lndwxzRrIqTwSgSQygMA0bgMrAggEGtavJP2CU/aEj/Yo+FKftYNcH4lDwFpf/Cbm8Kmf+0vsyed5u35fN3Z34437q9boAKKKKAPEfjZ/wUM/Zi+AX7Q3hn9lvx14j1ifxn4ngguY9O0Lw1eaiml2s9x9mgur+W3jdLGCSfMaySlVLA84Ga9ur8ef+CiPwC/bI8F/8FjdU+NX7P8ApXxhXXPiAPh2nw41fwOLn/hGfKsNReLXbbX2j/crElk8sqJP8p+0MUy/T9hqACiiigAr5r+Bf/BVT9mj4/ftPN+yD4c8LfEnQ/G50m91O3svGnw21LR4bqztJVimniluokWSPe6gMuQSwwea+lK+PP2TfAXjn4q/8FTf2if2v/iD4M1fTNL8M6bo/wALvhnLrGnS2/2qxto/7R1S6g8xR5kMt7coiyplX+ynBOKAPsOiiigD/9k=", 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", "info": {"equation": "6+8*3=30", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "d52dc33600cfa73e11f195c08f7427b66ef7cd3bb93c17968e1dd6f308930678"} +{"episode": 43514, "episode_seed": 2321838093, "split": "train", "timestamp": "2025-10-28T03:46:51.445667", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 2321838093, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [1, 1, 4, 4])", "action": "('move', [1, 1, 4, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "95+28=123", "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": "95+28=123", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "b2824d78a87c0b7ab7b7d4eb08fdf3de17849dca655841877a79bcdbe7221532"} +{"episode": 43515, "episode_seed": 2527817255, "split": "train", "timestamp": "2025-10-28T03:46:51.505891", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 2527817255, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 4, 4])", "action": "('move', [1, 0, 4, 4])", "reward": 0.0, "image": 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", "info": {"equation": "11*18=198", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"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*18=198", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "6da74f97485763c75548a8372646bca31ce5e69130cb35a8158a8bfc0ca2ebab"} +{"episode": 43516, "episode_seed": 2567555427, "split": "train", "timestamp": "2025-10-28T03:46:51.569336", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 2567555427, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 0, 2, 7])", "action": "('move', [6, 0, 2, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "15+14*1=29", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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xsfhH/wALv8BfGT4P+O4PFPxF1T4qaRYz+KrbWYNU1O+s3CxX9pLIhP8AoyaYs8jRgBUEayYDfMfsr4cfCz9k3w98ffHXjj4X6H4ST4jastp/wsGXTLqKTUQCmYPtMQYtDvUbhlV8zAY7iM143q3wa+Fa/wDBSCD43DwLYf8ACWxa1BpsWvbG89LQ6E7GIc7QCSeQM4JGcHFfnNbIMTgJ0ZyxLknWirK9ruW+/wAXfTe+p+48U+I+B4l4h+v08JLDqOFjTcUl+8tG/LLVfunzJL4r04x927936yrxP/gpBr/xP8LfsHfFjxD8GpLxPElp4IvpNOl09N08X7s+ZJGOu9Yt7AjkEZHIFe2U2WKKeJoJ41dHUq6OMhgeoI7iv0KvTdajKmna6av2utz8ZyzGRy/MqGKlBTVOcZOL2lyyT5X5O1mfz4/8ESPGPjiez+KngW68R3X/AAjNl4Gv9QtdPaZfKt76UQxyTqDyrNHFGCemI1z0Fftr+yZ401Lxz4Wl1qLxi3iHSnt7f7FrJvVuVuGClWZZU+Vydo3FeM+ma8f+PX7OvwQ/Zl8GWXw/+Afw00zwto0+g+Jb6bT9KiKo9xItiHkOSSSQqjrwFAGAAK+t7NES0iVFCgRjAAwOlfDZBktfB5tOMqz/AHXLdK9pc0Xbr9npp9x9/wCJXF+C4xz6vmuGw/s4V3onbmXIoxu7aXla7s+u73JKKKK++PzI+Tv+C4HiD4oeGv8AgmJ8T9Q+FEt5HeyWFtb6lLYJukTTZbqKO86chDA0gcjohY8DJr50/wCDW7VfiLd/slePNK16K4/4Rq08cKfDsksACGZ7ZDdKjdWAIgJHQFj6mv0E/aa06x1j9nHx9pGqWqz2t34N1OC5gf7skb2sisp9iCR+NcB/wT9+F/w8+DXwr1/4dfCzwjZ6Hodh4vl+yabYqRHGXs7N2PzEkkszEkknmvnK9FviijU5n/Dlp00f/wBt+CP0vA8X4TDeFWL4ceGTqVMRCoqmmiUVp3uuWy6cs5bdfd6/FT/g6k8Q/FEfGP4WeGLmS8TwYvhq6u9PAjxBJqn2gpOdw+9IsItuD90Scffav2rrivjT+zl8Df2i7TRrD44fDHSvE0Ph7WY9V0aPVIS4tbuMELIuCM8HlTlW7g4Fd2dZfUzTLpYeEuVu2vTR31OHw04vwnA3GFDOMTQ9rCmppxVr+9FxTjfRNX+658AfCHxD8K/2jPgf8PdJ/ac/aDtvHerTaFYahqXhDxR4wsrm2/tP7H+8Z7NMBmTfKQrZCHJxlQR9gf8ABNia9k/Yu8HQPLcSada/b7XwxLcxBGk0SG/uItMYY4ZDZJbFH/iTa2TnNM/b++Enw0+Mnwk0X4e/FDwZZ61ot94vtTeaddBgkpSG4dclCrcMoPB7V3X7LVjZaV+zh4H0vTLSO3trXwxZw21vCgVIo0iVVRQOgAAAHYCvDybLq2X57VhUrOo/ZrV+cvV7W/E5s2zyhmGQOnCDhz1nNQVuSCSlpDX7TnquWKShHWV/d72ud+LMGmT/AA71Uas2IltiysFBIkBGzGe+7H510VeMfthfEi88O+DZfD/hu0a71PYskFovSa4dvLtos4ON0zJk44HPIr3M7xMMNldVyV7rlS7uWiR8tgacquKilpZ3v2S1ON/Yl13w14y+NfxC1d4ydS0e2s9K0p5Y48NZLJN9okhYOWYNeJJFICq4NrF1619M18y+EPg/dfs4fGLwHaeHrrzoLPTW0zV55pI1a9t7pVaeUt5Yy/22KObA2fKz9yFP01XHw1JU8veFkrTpNxkvndP5pm2ZrmxHtU7qaTX+XyCiiivoTzj8Evgz41/aWvf+DkGbUdVXU5fETfFbUdPv4prUFk0BVliA2kYWFdPVGVh/CFYEkjP7218pW/wd+F0H/BSib44ReB7EeLp9c/s2XXyrGc2g8NhhFydoGQOQAeMZxX1bXzfDlF0YYlOTf72e/lb8+p+l+JfGGE4vr5dUoYdUVRw1Km0rauN72t9lbRT1SI7y1tL60lstQto5oJo2SeGZAyOhGCrA8EEZBBrzn9lr4Z/sr/Db4TQ+Hf2RtI8Kw+Dmv7iaE+FLyO6tHuS+Jm81HcM4Zdp+YkbQvAAA4n/gql4g+KHhb/gnd8XNe+Dcl4mv2/hCcwS6fHumityyrdSJ3BW3MzbhyuNw5Ar8k/8Aghb8Zda8N+C/H3gjxb+05qXgnw1a31ndaNYReK7bT4pLyVZFuXUTAljsit844GB3NLOM+w+UY6nCpScrxburXWuyv6a69i8g4HxeceHOYZ7TxfJCjVpxdK7tPZczV7XXtPc0enPsfvWqqihEUADoAKWvLf2W/GGpeNvDNzrY8VNrmmSiFtP1b7Wtwlx8pDMki/K4OFJK8ZJr1KvYy7GwzHBxxEYtKV9Hvo2v0PzjE0Hhqzpt3sfm/wD8HOmv/E/Sv2GNA0rwhJeJ4f1Pxzbw+LWtkyjxLDLJbpKR0QzojehdE74B8g/4JafGy2139iPwtoPxq/azvLP7NNcafZ+FtQ8a2lvCdNik8uCBoH/eeWVBUAkEqABxiv0d/bu+H/gz4qfs533w8+Ifh2DVtE1XXNJh1HTbnd5c8f8AaEDbW2kHqoPBHStD9jfwn4Y8Jfs4eHPC3hnQbWx07TDeWthZ28ICQQx3k6Iij0CgD8K+VzLKq+YcQyhCvKnemnpfa9rbrTqfp0ON8DDwtocPvCJ1IYmVTn01Tjp0vza2fTljH5an7OPhh/DngKa6lEofVtUlvmWUYxuVEGBgcERg8+vpiu+oor63BYZYPB06Cd+RJX72R+X16rrVpVGrXdz8Qf8Ag6S8UfFaH9p74a6BdXN7F4TtPBz3mggJiA6m13It0yn+KRY0s8g/dDLj7xz9K+CdW+DH7Rvwt8F6Z+03+0BZ/EDUW0O11DUvC3irxjZXVrHqJsSLiU2qFRvjWS4xnIjBZhgqGH27+0V8Mf2UviNfeDJv2ndG8KXVxpfimCbwOfE93HC39rH/AFSW4d182Vto/dDdv2jKnAxxv/BQb4O/C740fDLw14C+Kvgex1zR7jxnFLNp94rBHdLG9ZCdhB4YA9a+LzzIsRfFYxYhqLV+VX1stnqtO2j0P2Crx7g8fw3keTrDSoywrqJ1opcz55aunrG7trO8o3l1NP8A4Jz3et3n7FHw/bWpLp44tJkg0aW9gEckukx3MsenOQODusltmDfxAhjya9rrjP2cbe3s/wBnzwNaWkCRRQ+ENNSKKNQqootYwFAHAAAxiuzr7XBw9ng6cb3tFK/yPynNcVHHZpXxMY8qnOUrduaTdum17BXkP7T3gRvHGpaLpn9nOftkFxp4vIATJGszRl1HUDhA3I/gPYGvXqKyzLArMcHLDuXKm1r6NP8AQ58NXeGrKole1/xVgoooruMD+c79g/41fHbRP+CqPiPV/ir8ZNa8Han4g1PW4fiRqMmqxafJuQyyeTK03yR7bmOJQoGRgKuBkV+wv7LcfhH4j/EOx8ReFfik/jA6Zqkl7qWtLrcOoSNN9keBEmli+UYR1AXg4A/H3Xwd+zb8CPh/8VfE3xw8GfC3SdO8WeMhEPE2u28GJr8RjCb8nA6AnaBuIBbJGa7WOKKIERRKoPUKuK+LwfCmJoV4VKmJbjGfNy62dnddd310P1PxG8QsBxrmsMXhcGqKVCFJ7bxTvstk3yx1+GMbpbJ1FFFfaH5YeR/tUeCT42g0nTBpzubqK708XUCkyRC4EYZR1AzsB5HVPrXrcaCONYweFAAzS0VwYfAqhja2I5r+05dO3Krfib1K7qUIU7fDf53YUUUV3mBifEnSxrfw+1vRm09btbvSp4XtWBxKrRlSvHPIJ6Vy/wCzX4ZfQPBF7qEglDaxq73pWUYx+5ihGOOhEIPPqe2K9DorhngVPMYYvm+GLjb1ad/wN1XccM6Nt2nf0Ciiiu4wOB/aN0v+0fAkE400XBs9UinQ7STCQrrvGP8Ae289mNb3wo8MDwX8M9B8KBpD/Z+lQQnzsb8hB1wBzXQUVwwwKhmM8Xzayio27Wbf6m8q7lhlRts27+oVzmo/DbS9R+IFp4/lunEttDtNuEG12GQrZ6jAJ49h6HPR0VvXw1DEqKqxvZqS9VszOnVqUm3F2urfJnOeMPhvpfjDX9L1+8unjbTZdzRqoImUEMFJ7fMBz6Ej3HR0UUUsNQo1Z1IRtKbTb72Vl+ASq1JxUZPRbBRRRW5B5Engdr39qMeITpzwC0nOoNLEp2zsbA2isxOf4WxxjmMehz67RRXDgcCsCqiUr885T9Obp8jevXddx0typL7iO7tLW/tZbC+to5oJ42jmhlQMkiEYKsDwQQcEGuP+CH7O3wQ/Zt8Cp8M/gX8NNL8NaEl3LdDTdOhIQzSEF5CWJJJwBknooA4AFdpRXY4Qc1JrVdeuoRxOJhh5UIzahJpuN3ytxvZtbNq7s3td23EVVRQiKAB0AFLRRVGB84/8FAPEGtaPrnwksLjVriy8N3/jySPWpIyqwzXS6fctYQTOfuo1yFKj+KVIl5JAPzX+zv8AtHeGmbXb+7/bQubO1s/iJq8egaQ/jSwt7d7JLttirDjLRGTzQpzl1wQSCDX398XPhB8M/j18O9S+E3xh8GWXiDw5q8aJqWk36ExThHWRc4IIKuisCCCCoIq94P8AAvg7wB4U0zwN4L8NWem6Ro1hDZaXp9rAFjtreJAkcaDsFVQB9K+VzLh7F47MpYmniHTTilpe+nTdadfU+tpZ5llPIIYV0OatF2u1Hl5bylzX3525cr0soxWrvaOb8HL3XdQ+H1lc+IJJHmJcRyTEl3j3HaTnk8d+4wa6iiivosJQeGwsKLlzOKSu93Zbny1Waq1ZTStd3sfiJ/wdEeMfi/pn7U/wx01NR1G08M6f4SbUPDksOY411X7Y4uZEccmVUSz91BUjG45+s/2fvi1pfxG8H+CW8dftR3HizxbdaFaXNz4fv/GFndMupPZjzyltCA3mLvmGBnaC3HHH2n8YP2cvgb8f7rw9efGf4Y6V4jl8J6ymq+HX1KEubG7TBEi4Iz0GVOVO0ZBwK7JbW2Rt6W6AjoQgzXy2N4XxONxtaqsS4xqW0V3fS1nqlZdN9D9OzjxBwGY8GZTk1PBqNTBqpzT097nldcul1fed95aox/hr4cXwf8O9B8Jo0hGmaNbWoMuNx8uJU5wAM8Vt0UV9dTgqcFFdFY/LpPmk2FFFFWIKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK8b+O37e37MX7N/x38B/s4fFrxzPYeKviNcCLw/bQ6XPNDHvmS3he6mjUpapLcSJBG0pUSSsEGTXslfmd/wAFVfgn8b/GP7f3h3TPAnwe8Ua9Y/FPw54C0TS/Euj6S89h4fuNB8cprd/JfTL8ton2JjJGz4EjxFFy2BQB+mNFFFABXl3gD9sT4G/Ez9p3xt+yH4Q1nUJ/Gnw+0qy1DxNbS6RPFbRQ3WfK8ud1CTHj5ghO08E5BA9Rr4u8D/FaO7/4LpeN/Di/Cz4gxWknwN0fQIvFNz4Ev49Dlv7a+v8AUJY01Ex/Z3AgvIACGwZN8Y+ZCKAPtGiiigBk88VrA9zcSBY40LOx6AAZJryH9kb9uz9nb9t2z8T3HwH17Vpp/B+rR2Gv6dr3h660y7t2liE1vN5N1GjmGaJhJFIBtdeRXr1xMtvbvcOjMI0LFUXJIAzgAdT7V8Q/8EbvidqH7Q/ib46ftSfEX4W+P/CHjrx744tptV0Hxr4EvtGi0vRrSKWz0eyt5LqJFvXW2geeeWPIWW8K8ALkA+4aKKKAOZ+Mnxa8I/An4X618XfHY1BtJ0GyNzdxaRpc19dyjIVY4beBWkmkZmVVRFLMzAAVj/sx/tLfCX9r34J6P+0B8EdYur3w7rZuEtmv9PltLiGaCeS3ngmglVXiljmikjZGAIZDUf7V/ivQ/Bf7N/jPXvFHhnxrq+ljQprfU7L4cW88uu/Zp8QSy2S2zLN50aSNKphPmr5eUywAPiv/AARS8DePvhx/wTo8G+FPH3g7XtBMer69PoGneLLL7PrA0ebWLybT5NQQgMLx7V4ZJS43l3Jf5i1AH1ZRRRQB5x+1r+1f8E/2I/gBr37TH7Q3iSXSvCfhxYDqN1b2j3EpaaeOCJI4kBaR2kkRQoGec9BXoVldwahZw39sSY54lkjJGCVYZH6Gvz//AODjH4MftSfGz9jAaL+z58Cf+FiaVpdprV/4o0C21gW12kn9lT29ldQQiKV754ZLiSZbVFDSSRxYZSvP3N8KrrxRffC/w3e+N/DSaLrU2g2b6vo8V6LlbG6MKGWATBVEoR9y7wq7tucDOKAN+iiigDx34mftwfB34WftQ+GP2Q9Y8P8AjPUfF/irTYNQtW8PeDL2/sLC1muJbeOa9uoUaOzjMkMg3SlR8vWvYq+Af+Ch3hLxj/w8t+BPjj9nzwp8aYfiPLrnh+w1XXPDsE48GXHg+PULyXV7fVJE/cmVIZZGRJvm3yQGLJ34+/qACiiigDybwX+2v8AfiF+1H4l/ZA8Ia5qd74w8I2Kz688Wg3P9m28hSGRrT7ds+ztdLFcQSNAH3qkqsR1x6zX5i/sM/Bj9qX4P/wDBa34uxS2PxOt/COv+JPFviDxXLqpn/wCEQvLC9XRpNCksN37lr8SDUY5in7wJDtf5RHX6dUAFV9X1OHRdJutYuYZ5I7S3eaSO2haSRlVSxCIoJdjjhRyTwKsUUAeI/sb/ALfnwM/bjl8XWXwh0Xxppd94Hv7Wz8SaV448F3miXdrLcQmeEGG7RHO6PD9OjKejDPt1fMP/AAS68GeLv+EH+KX7Q/xE8LanpGt/Fz41+IfEAsdasZLa7h0u3nXStMSSOUB0BsdOt5FBA4lyOCK+nqACuJ/aN/aF+F37KnwW134/fGbV7iy8OeHoI5L6WzsZLqd2klSGKKKGIM8sskskcaIoJZnUDrXbV8yf8Fi/CXjTxz/wTn+IXhfwP4L1nxBNcNpLanpfhuya41RtLTVrOTUJLGNQWN5HaLcSQlPnEsaFPmC0Aew/s2ftGfCz9rL4LaL8fPgxq11eeHtdWcWrX+ny2lxDLDPJbzwTQSqrwyxzRSRujAFWQiu6r5f/AOCN3hLxf4I/4J5+C/Dvi/wVrvh8R6nrsuiad4rsmt9X/smXWb2XT5tQRwHF5LaPBLMZP3jSSMz/ADFq+oKACvHf2xP28f2af2EPDmg+KP2kfGV1pVt4j1ZrDTFsNJnvZDsiaae4dIEZo7eCJWklmYBI0GWIyK9ir88f+DiH4CePPjF+z/4ZvvgunxBPjxk1/wALeHIfA/gUa7Dfx65pcljcWN9l1/s+CZdg+3nKwbCSMstAH6F29xBd26XdrMkkUqB45I2BV1IyCCOoIp9YHwq8LX3gb4X+G/BOqXKzXOj6BZ2NxMpyJJIoEjZgT6lSa36AP//Z", "info": {"equation": "15+14*1=29", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "5e0f4f773c671319d20184d5d6bd32d7603bd97c86792d222a4ed61651793b7c"} +{"episode": 43517, "episode_seed": 2602793391, "split": "train", "timestamp": "2025-10-28T03:46:51.622930", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 2602793391, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 7, 1])", "action": "('move', [1, 1, 7, 1])", "reward": 0.0, "image": 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", 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", "info": {"equation": "16*8=128", "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*8=128", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "161b21addffbba4bf6298bbbf1d5762c3e268412b2208bbf121509df64edafbb"} +{"episode": 43518, "episode_seed": 1908330015, "split": "train", "timestamp": "2025-10-28T03:46:51.671275", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 1908330015, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 1])", "action": "('move', [0, 0, 1, 1])", "reward": 0.0, "image": 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x/wD2Of2X/wBqe+0XU/2hfgnofiy48PSO+jzarblmt95UsuVI3KSiko2VOOlc+f5VVzfA+wpz5XdPXZ+T/P1R9p4Sce4Dw74qeZ4zDutB05Q0tzRbs1KN7K+nK9V7sn6P88f+Cf8A+0p4j8WfsheDdb+Pf7dOt6d4lktJo57S6+IFjbSx26TyJbbkcFwTAsZy/wAzZy3JNfdv7MvxA13x7qi6vpfjE+INFnsCTqaXq3EMhXCK6yJ8hYlSDt6/NxkcezR6fYRRrFFYwqqqAqrEAAB0AqVESNdsaBQOgAxXnYPhvGYfFU6s8ZOSi72d7Py+J/lsfK53xBh83x+JxNPCxpKtOUlGNrR5pN2Wi0V7LbYWiiivrD5k+Mv+C9/i/wCOfgz/AIJt+K9Q+Bk2owyXN/a2niq60uLdLBo0hdbkkj5kQny0dl6I7ZwpYj8hP+CLfxj8e/D79pi58HWfx11LwV4P1jSJ5/FEtrrsNhDK8Mb/AGYs82V3CSQAbfmIYjpnH9H2t6Xo2t6LeaL4isLa60+8tZIL+1vI1eGaF1Kujq3DKVJBB4IJzXkn7G/we/Yb+F3grVoP2INH8ELod7qgbWbnwbqkV/HJdLGuEkmSSQ7lRlIQt8ofIA3kn5TOMhxGY5nTr06/s7K3W6/w6re+up+18J+JWByHwwzHh6rl/tZ1pXVSy5VzJJe0bTfNDlvT317Wu/lLXvDH7JHx78QDUviz8VdC+KN5puj3UdtF4w8XWuqJplmwBupIogwSAEBN8+0MAifOu0V73/wSXvvEl1+x1Y2N/LeTeHdN8SatY/Du6vrdY3n8Nw3TppzjGN8fkgBHP3o1Q5IIY43/AAUK/Z3+CH7QPxZ+HXh340fDPTfEVjYaHrtzZ218HCxSm40pS42MpPykjByOelexfsYWlrYfsp+AbCxto4IIPDVvFBBCgVI0VcKqqOFAAAAHAArgyHA1MHxHiKc6rm4xV2+t7PXV7bLU+PzHO6NfhClhFzSlKd+WVuSko8+lPVu8+a8vdgla1pXuvTqKKK+6PhDxL46fA39gbx1+0F4O8bftB+G/ANx8SbVoV8Fv4g1CGLUZzHMXiWGFpFNxtlJKja+GJxya9pNnaE5NrH/3wK/mQ/4Kv/ED9oXUv+CknxI1z4xarrFpr2heL54PDLzboJLLS4Z2bTmt9uNieSY5VZfvM5fO5ia/U39m79pKfxB8CPBXin4w/t46nb+Krzw9Z3PiC0n+IWnw7LpkDOrRBfk56r26cV8NDjDB4fFVoToNWla8Uru2l5ba/efuXHvhbmPDfDGU46pmKrqtDSDbtTulO1LV3hrq0o62dve0/SVVVBtVQAOgApa8q/Zt8X+I/GQvdZl1ptT0m6gS4tb8T+bFIz/MDE4yrKynPynGNuOvPqtfVZZj4Zng44iMXFO+j8nY/FcVh5YWs6bd7BRRRXec4V/NZ/wXH8XfHLxN/wAFJPiBYfG2XUVj0m/Fp4Qtr2LZFFowG62MAHylHDM5Yfednz82QP6U6+JP+ChH7OPwK+N/7Qt74j+Lnwv0vxBe+HfhlZy6LNqKO32Vzdam5IUMFYFo0OGBHy9OTn5LjSk55Pz81uWSdu99P1ufrvgxxzgeA+KZ4zFYf2sZ05Q0tzRd07xvpZ25ZbaO+trP2r/gmpr/AMY/FH7Bvws174/W93F4suPCcB1IX9qIZ2QFhA8iDG12gETHIBJYkgEkV7jXOfB5i3wk8LMxyT4csSSf+vdK6Ovp8PB0sPCDd7JK73dlufmGaYyOYZnXxUaapqpOUlGPwx5pN8sfJXsvJBX8pXx7+Kn7Tbftj698VvivrWr2fxU0/wAZ/abq5vIxHc2Oo28w8pVQ5VBEY41RR8gVFA+UCv6ta8S1/wCBv7A+pfth6d8T/EfhvwC/xtW0WXTnudQhGsyRJA6LMtsZN0hWFXAk2EhU4ICDHhcQ5PVzaFJQq8nLLr1v+q6er1P1bwf8RcF4fV8wniMC8T7alZWSvHlu7SvtSlf949fhi7M+VL3x/wDB/wCKPwug8HfHD9tCbWrLVdJt08T6BqXxNs1trtiiNNBMIShMZcMrIGAZcqcgkHqf2NND8OfDL/goNc/Dv9m7S7bTfC178Opr74m6D4etYl0yy1BZ7dNKndY/lt7qWE3YKjaZIoUchsBq+mv21/D+ia3+yP8AEbRdW0qCe0vPCN7BdQPGNskbxFWU47FSR+NeUf8ABPb4D/Bz9nv4p+PPB3wT+HeneG9MufD+i3Vza6cjYlmNzqi72Z2ZmO1VAyeAOMV8/TyrEYHiTCwqYiVRtSd3e9knpu9H1PnMFxBh4cP42PLJc6cVSVvZXnZOctfihZOCUH70YtyXLZ/VlFFFfoZ+fBRRRQB872Pwq/tn43Q2J0iWxSy8XvrswtlIQyCaSYuSwPyu7En1JOMV9EUUV5WVZXHK4VIqblzyctfPp/wTqxeKeKlFtWskgrw7/gpN4k+KnhD9h74heIvgzeata67baVDm80G3829tLFrqFb6eBcE+bHZm4kUgFlKAgEgV7jR1616Fek61CdNO3MmrrdXVrr0NMrxkcuzOhi5U1UVOcZOL2lyyT5Xvo7Wej0PzE+Pvxl8F+AfEfwM0r4PftAx+G4b7XVtkutE1+0jEvhn7HIJ5GmkLBIt0FuFkB+Z1Kgk8V6j4b+Ivwx8XeKdPtP8AhqY+M9RikkbSNM1DxtaXzRymJ1aSKKLDF/KaRc84Vm47j6c+Bv7GX7LH7NPiDXfFXwH+BugeGNQ8SuG1q60y1KtcYdnCjJIjTc7HYm1enHyjHpS2tqjBktowR0IQV8NR4Oxqw3spYtpO94pNx/8ASlfz0Pps34gyepWpxwNBuMF8c1GM5NtvVR5kuW/Kved0r6X5Vxn7PHglvAPwuttHkE4e61C+1CRLkAMjXV1LcFcYGADJgA84xnJrt6KK+3wtBYXDQop3UUl9ysfH1ajq1ZTfVthRRRW5mFFFFABRRRQB8Zf8F7/F/wAc/Bn/AATb8V6h8DJtRhkub+1tPFV1pcW6WDRpC63JJHzIhPlo7L0R2zhSxH5Cf8EW/jH49+H37TFz4Os/jrqXgrwfrGkTz+KJbXXYbCGV4Y3+zFnmyu4SSADb8xDEdM4/pA1jSNK8QaTdaDr2mwXtjfWz297Z3UQkinidSrxurZDKykgg8EEiuB/Z6/ZH/Zs/ZR0HUPDP7PHwe0jwrZardrdalFp8TE3EqqEUu8jMxAHQZwMsQAWOflc34fxWZZjDE067gkraXuvSzW99dV8z9n4V8UMr4f8ADXMOGq2BVSpiJNxnpy+8oq87681PlvTtfW21rv5l8CeOvh74y8Xw/wBj/tEHx3rcVpJHY2914tttRnt4WeNpRFHDggM0cO44P3E6d/rj4J+CU+HHwk8PeBo5JmGmaVFDm4I38DnOABnn0rpUtreJt0cCKfVVAp9dOT5FPLMTUr1KzqSkkrtdvO7uflOMx8cVTjCMFFLt/wAMgooor6E848y+KP7Gn7LXxq+K+hfHL4rfA/Qdd8W+GvK/sTXL+2LTW3lSGWMcEBwkhLKHDAEnGM16SbO0JybWP/vgVJRURpU4ScoxSb3039e51V8djcVSp0q1WUo01aKcm1Fb2im7RV9bKwiqqDaqgAdABS0UVZyhRRRQAV4R+0x4Ik1/xy0kWhv5ur6EumC8t0YvKgaYhO4ypmkYcfxEnIr3eivLzfLFm2CeHc+VNp332OrB4p4St7RK5neENCj8LeE9L8MxSO66dp0FqruQWYRxqgJxxnjtWjRRXppWVjmbuwr+VD42/GP9qrTv20Ne+MPxF8Ua7pfxZ07xg811fS/uLyxv4pNiIq9EVAqoqD5AgCjK1/VfXmWrfsafst69+0Fa/tVax8D9BuPiFZoq2/imW2JuF2xGJWIztZ1jO0OVLABcEbRj5/iDJq+cQpKnU5OR36/fp1XT1eqP1/wj8Sst8Oa+OnjMH7dV6aitrpq/uu//AC7nf37Xfux91nyHo/xj+HfiPwVYWHxM/bcm1JrvS4Br2j6l8RrBre4kaNTNDIiYyhbcCoI44zX1P+y/4NNtruvfEl2mzqthZWMe4Dy3SCS5k3rxk5NyQTkj5R6GvXvsVn/z6Rf9+xUgAHAFc+A4brYTMIYqtiZVHFOya7q27kz82xeaQxFGVOFJQUnfTbe+1gooor6k8gKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiioNVtJdQ0y5sIbloXngeNJk6xllIDD3Gc0AfPH7O/8AwVd/Yi/al/aE1P8AZl+DfxOu77xLYLfNYyXWhXVtYa2tlN5N4dOu5UEN6IJDtk8pm28nkAmvo6vxU/4JW/s3/tM2H7RP7IX7PHjH9m/xx4UvP2SbL4kR/FDxdrfh+W20i/bVbmZbFdOvG+S/FwJVlbyydoB3dK/augAooooAK8N/bZ/4KJ/swf8ABPzSvDmrftJeItXsk8Van9h0iPR/D1zfsX3xRl5DCjLDGHmhXe5UFpFAyTivcq/Pv/g4/wDFurS/sGxfBTwf8I/H/i7xB4r8XaNeabbeB/A19rCww6dq1jdXJuHtY3Fv+6DFN+PMKsFzg4AP0DVgyhh0IyKWua+DvxN0X4zfC/Q/in4c0XW9Nsdd09Lq1sfEmizadfwI3RZ7adVkhfjlHAIrpaACiiigCh4q8T6H4J8L6l4z8T34tdM0iwmvdRumRmEMESGSR8KCThVJwATxwK8P/ZA/4KZfspftveOPEnww+CuveILbxN4Vs4L7VfDvi7wlfaNe/YZziG8jhvIo2kgfjEgGPmX1GfavHPimDwN4J1jxtdaRf6hFo+lXF9JYaVaNPdXKxRtIYoYl5kkYLtVByzEAda/OX/gjN8UdY/ar/bL+LH7a37Rnwb+Jvg/4s+M9ATTdH8NeKPhlqek6V4V8JWV2Ba6el9dQpFe3sskouJSp7kIoVGoA/S+iiigAooooA+d/2zf+Cov7Jn7BOvWWh/tF6t4ps0uLOK8v9V0bwTqGo2Gj2ss/kRz311bwtFaI0gKr5jAnacCvoHTdSsNZ0631fS7tJ7W6gSa2njOVkjYBlYHuCCDX5lf8HF9hcfHP4XRfs3+B/gV+0Hr3xIisre/+GUvw90W7uPCesX819Bm21jYTaSpD9lRyl6oVVlJjJ3NX6SfD2LxPB4A0ODxrb2sWspo9surxWSgQpdCJfNWMDgIH3AY7YoA2KKKKACgkKCzEAAck0V4n/wAFG/CH7S3xC/Yj+Ivw/wD2QooX+IWvaA2naH52qJYlVnkSK4ZLhwVglFu0xSQg7X2nBxigBf2Nf+Cgv7L/AO3zF43u/wBmHxrca7a/D/xZN4d1+9fTpIYWvIxkmB3AE0ZHIkXgggjrXtdfmV/wb6/Cz9pL4J/Fv9pnwH8Vv2Jf+FQeF5PHuny+HrVfEZvreNodMtrUWlrJ9mhF7CsUSObxPlZ2ZNu5ST+mtABRRRQAV85/Er/gqB+zr8M/2qpv2OLnwh8Std8ZWb6UNVPhL4balqthpi6iSLWS6uraJorZGAcl5CABG5Jwpx9GV+S3/BVDwB8QtK/btfx/+wp4E/aZ0v8AaJ17xf4Qgh1vQbW7j8AatotsFE5v5Yv9Ekhjglukdbk+Ysmdg2tkgH600UUUAFFFFAHIfHz49fCX9mD4O6/8fPjr40tfD3hPwxYG71nVrvJSGPIUABQWdmZlRVUFmZgACSK5/wDZS/a4+E37ZHw8n+JHwks/Etna2l+bO8sPF3hS80a+gk8tJFLW93Gkmxo5EdXAKsGBBr53/wCDgn9nb4xftMf8Ey/E/gn4HaDrGra3pXiPQ9dk0jw6N2oXlpZahDPOtsv8c6xq0iJ/E0YABJAqj/wQ2t/2g4/h18WLn4iT/FhvhvP8Tpm+Cg+OD3TeJRo32aLzTcfbP9JERufN8sS/NgNj5cUAfctFFFAH/9k=", 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", 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", "info": {"equation": "18-3=15", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "18-3=15", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "74c3a9f1d41f74aae99618d2a57243b1ea3f0813d9b2453cf22370e6ea884bca"} +{"episode": 43519, "episode_seed": 3722083224, "split": "train", "timestamp": "2025-10-28T03:46:51.745034", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 3722083224, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 0, 5, 1])", "action": "('move', [3, 0, 5, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "0+11*9=99", "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+11*9=99", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "1fb635f4605aba329a247abb3aadf0935e1629ce6b22f43b3fd4dfc373a2218c"} +{"episode": 43520, "episode_seed": 1046723558, "split": "train", "timestamp": "2025-10-28T03:46:51.827237", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 1046723558, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 1, 2, 7])", "action": "('move', [6, 1, 2, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "10+14*5=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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", "info": {"equation": "10+14*5=80", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "6884cfc2ee063b8deecf145013dfb5b02bb595fba63ff0fed6d58db523b87e94"} +{"episode": 43521, "episode_seed": 523543105, "split": "train", "timestamp": "2025-10-28T03:46:51.895017", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 523543105, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 3, 0])", "action": "('move', [6, 4, 3, 0])", "reward": 0.0, "image": 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", "info": {"equation": "9*17=153", "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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zMbwNIxYlmYhVGSTwoA4FfT1evwrDkyKjre93+L0Pzvi7MKWY53KpT5moxjHmlbnnyxS5pWbV32u7JJcztdlc58WbbR7n4fakNbbbEkG5HVQWWQH5CoPfdgfjXR14R+198YE8P+HrvTdH0+bUJdLXzHsYB815dttS3tkIBO5pHVc9AXGehrpz7GUsHldRzV3JcqXdvRL9fRHiYCjOtio20tq32SPLfgb4l8I+N/22NM8KeIoWaHwtpV2+hSSRRNbz680MTTIGMm4TQ2M+5V2ci4mO4eXX2TXyD42/Zn8S/Bb4b+Fh4e1SKTxZYXkevNrErrsm8QCRprtmcQ/LFN5s0OQm4RSEADAr6x8N63D4l8P2XiCCBolvLVJvKZ1YxlgCUJUkEg8HBxkV5fCz+q0amX1Vy1Kbu/NOzT/T7jqzVe1nHERd4yX3W6F2iiivrDyQr+cT/guh4w+PGpf8FRvF0fj241RJNFuLKHwJFJCQsWnBEkga3A4YNK0jZGSZC2eQQP6O6+I/+Ci3wE+DXxP+N+ofEH4hfDnTtY1rwt8NbSfw9qF6jM1jJ9p1N9yAEKTuRWG4HBUEV8pxhRdXKU1Jq0o/O+n4XufrHg7xtguBeJ6mNxOG9tGdKcLK103Zpq+lnbll1s3vaz+r/gFqPxA1f4E+CtW+LNtJB4quvCWmzeJoZoBE8eoNaxtcKyLwhEpcFRwOldbRRX1MI8sFG97H5biKqr151FFR5m3ZbK7vZeS2QVmeNJ9ftfB2rXXhSHzNUj0ydtNj2g77gRsYxg8HLY4PFadFNq6sZwlyTUrXt0ezP5q/+CYvjn9pe/8A+Cu/gTxSJdYu/G+q/EKRPG7XdrvuWt5ZHXVTOrj5NsJnLcDZt4wVAr+lSviP4LfAT4NeGP25ovjjoHw50628Xa58S/E9vqviBEY3FxEI9VG0kkhR+7jztAztGc19uV8pwjQdDCVouTdqklr5W1+fU/WfF/jnBcd5zhMVhsL7BU6EItaXbu3bT7Mb2h1trZXsivIv2tPhD+xV8V9O8NRftm6H4Ku7ax1rPhY+Mr+K2X7a4H7qEyOnmM4UZi5DbRlTgY9dr8Fv+Dm7xT8Zb79tzRPCfi+a/TwdYeEYJ/BsDx7bVpJGP2uVCOHk8xEVifmASMcDGfTz7MIZblzqyp86ulZ7fP8Arex53hNwjieNOMqeAoYt4aSjOftIt86srWhZrV311Xu8z6WP3kWxsUUIlnEABgARjAFSgADAGAOwr8u/2Gf2mtT1v9lvwD4s+Nn7c+qW3iZ9LWXUbDUPH9jEQqTOIVkiYbhmFYshjuOSW5Jr9Av2dte8Q+IvDN1qWrX8l3aSTq+n3ckhcSqw3MVb+JMkEEccn0riy3ifC5njI4enTkm03d2srejf9W7nyud8PV8kxdehUqRn7KcoXjtLlk43Xk7XXkehUUUV9MfPhX5H/wDB1J4n+MNl4K+FnhTS5b+PwHfX9/NrPkx4t5tTjWP7Mkrj+IRNcMiHg4YjJXj9cK8A/wCCivwu+Hvxm+E/hv4d/FLwpba3ol942tzeabdlhHKUtLt1yUIPDKDwe1eLxFSdXJK6TtaN/u1t87WPufDbiTDcJcbYPNcRR9rCnJ3jpf3ouN4305o35o3tqt1ueC/8G32t/FjV/wDgnBa2vxGgul0uw8X6jb+CpLm2CCTTMROxRgMyILt7tdx7qV6KK++a8i/YX8LeHPA/7NeleDPB+i2+m6VpWsaza6dYWqbY7eFNUulRFHoAPr6167XRk0HDKaCvf3I/keXxlnFLP+K8bmNKkqcatSclFdLvr5veT6ttnkv7eXiD4ueFf2Mvib4k+A4vP+EvsvBl9NoLadD5lwk4iJ3RL3dRuK4BOQMAnAr+fz/gjz8UfGHgj9sy3Nt8Y73wjpGtaPex+K9Yh1mGzMsKxNLGrzTggZuFh6fMT7E1/S7Xj37MnwY/Yg+GviTxrffsoeHPA9tqmoaxjx1/wit7DPJHeK8p8q4VHbyGVmlxFhQDuwoxXl55klfNMZRqU63s+W/e/rHVa99Vofc8EeIOD4Z4GzjJ6uB9tLFKNp2Vo3933209I/FT39/te58Z/F7w7+x38UfDXif4l/FH4v6d411PR/C7D/hKNU8WW+oX+gW8bmSKSzZGH2WQXBVkZAHeTYpLZC192/sn6v8AE/xB+zB8O9d+NcFzH4wvPBWmTeKI722EMy37WsZnEkYACP5hbKgDByK+Zf8AgpH+z/8ABT4sfFa48U/En4aaZrWoeF/hpJdaBcXsbH7FN51029VBCsd0aH5gR8o4r7VsSWsoWYkkxLkn6VxcN4Opg81xdOdRzceVNvrdN3er1Wx8pnecUsXw5hMMuZu8pe9a1NL3VCnq3aWkp6R1UUo+7dy1+dX/AAcw+KPjF4f/AGENM074ezX8Xh7VfGFvbeN5bKP5TaeW7wxzMOVja4WL2LBFPUA/orXMfGjwr8JvG3wn8QeFvjvYaRc+DrzS5V8SR69KsdmLQLudpXcgRqoG7fkbdoYEEZr6XMsLLG4CpQjLlck1f+unfyOTgrPKXDXFmCzSrR9tGjUjJw6v0/vLeP8AeSPxM/4IdfHPxPo/wo8YeBvHn7U+q+DvDOlanbP4Y01fFtrp8XnTCZrsxrMCxGRCSB8oLEjlmr6j1bwZ8DfDHxI+Gvxe/ZzvtN1j4l6n8YrH7H4p0y9h1PVNaFzOia0txOCxliXTnuHk/hgVEKiPPP35+zn8Pv2d/h/8G9G8Mfsw6R4dh8DwpK+iDw1cR3Fm4aV2kdJUZhJmQvltxOc88V8t+APgH8GdE/bwj+PWk/DjTYPGWo/FLVrS98QqjG4kgFlers5bao2xoCVAJC8nk5+CxOQ4nAPCc+Jck6kElraN+sdfu0R+g5tx5g854yzLNoUJUIzUn7NJfvLJR5ayuklPWVTSercUteZfb9FFFfpZ+LH8/wD/AMHKHiz40Xn/AAUIj8PeNLjUIvDOkeGLKTwHG6FIBHIitdTREcM5uVdWb737pB0Va+w/2Wf2grX4g/steDtQ/aH/AG2r+bWtX8NxnxPo2rfECxjSYPuBhmi4YBoioZSQ2GOSDmvvr45/sn/s4ftMX+gan8evg9ovim48L3hutBl1W3Lm0lJQtjBG5WMaZRsq20ZBxXfmztCcm1jJ/wBwV8ZX4XxlbH1q8cU4Kbvpe/o9VotlvofsPEfiZlmdcC5TkVPAqNTBpqU9LPS3u6N+/wDHUvb30t9zyn9l3wiLE65493Ska0tpBHux5bJAJSHTjnJnIzkj5Rjoa9aoAAGAKK+ly3BLLsDDDKV+Vb7X1ufkuJrvE15VGrXCuTT4SaMnxGPxBF4+4nzPsewbRLt2793XHfHr3xxXWUVriMJhsXye2jflakvJrZkU61Slfkdrqz9DA+IvgGz+IWiJpVxetbSRTCWGdY9204IIIyMgg+orS8O6HZ+GtDtdBsCxhtYRGjN1bHUn3Jyfxq7RRHCYaGKliFH35JJvyQOtUdJU2/dWtgooorpMwrwn9pj4bN488cDR/wCypEbXtETS3vrZSZHi3zcZOVBTzpGHHG4k8V7tRXm5rlyzTCewcuVXT+53sdOExLwtXnSvo0FFFFekcwUUUUAeE+Cvhu037Q66qdKks10bXNQ1VlhUiN5LiK5jLMWByHNy78EZPTgEV7tRRXm5Xlyy2jOClzc0nK78zpxWJeJmpWtZJfcFeffH39lP9nT9qW00ex/aE+EOj+LItAvjd6OmrQFvs0pADFcEZVgq7lOVbauQcCvQaK76lOnVg4zSafR6oWExeLwGIjXw1SVOcdpRbjJXVnZqzWjt6ES2NiihEs4gAMACMYAqUAAYAwB2FFFWc4UUUUAFeeftK6Kur+B7S4fSlufsGqpcrIQSbdhHInmDHs7Kc8YY16HR161yY/CfXsFUw/Ny8yav2NsPV9hWjUtezucb8AfCDeCfhZY6M4mDy3V5eyLOMMrXN1LcFcYGADLgA84AzzXZUUVphqCw2GhRTuopL7lYirN1akpvq2/vPJf28vEHxc8K/sZfE3xJ8Bxef8JfZeDL6bQW06HzLhJxETuiXu6jcVwCcgYBOBX4Af8ABHb4vePfAv7YEen2fxv1PwfoGv6ZdnxjqMGuxWS3CRwySQGSWfKlvtBTB+987AcM1f0s1518FP2Sf2a/2ctY8Q6/8Dvgzonhq88V3guvEE+m2203kgZ2GckhVDSOQi4UbjgCvBzvI8TmmLpVaVZ0+RNaXur9VZrV7PVaH6vwV4jZdwtwTm2SV8Gqs8Wkoy0stLe/fW0Pjp2TtO+17nzF4Pl8BfGi61Xwr4d+OknjnVdW0z7Bc3B8T2+o3VravvUBREMIgaRmyVxk8ntX3BBEIYEhByEQLz7Ckjt4IjuihRT6qoFPrpybJp5VKrKdV1JTtdtdr+bvufmeNxqxailDlUb7ef3BX51f8HMPij4xeH/2ENM074ezX8Xh7VfGFvbeN5bKP5TaeW7wxzMOVja4WL2LBFPUA/orWH8Sfht4D+MPgPVfhh8T/C1prega3Zta6rpV9HuiuIm6qR1HOCCMEEAgggGu/McLLHYGpQjLlcla/wDXTv5Hs8GZ9Q4X4qwebVqXtYUZqTjpql2vpzLeP95I/EH/AIIdfHPxPo/wo8YeBvHn7U+q+DvDOlanbP4Y01fFtrp8XnTCZrsxrMCxGRCSB8oLEjlmr9Mf2YdD8I/EDxfofiPwZ43/AOEitNH1i51G61u21SK9+03TQTxP50yZUuftBJAweB2r3/4P/A/4SfAH4e2Hwp+DfgDTvD/h3TPM+w6VYQ4jiLu0jn5iSSzsxJJJJNdRHHHEu2KNVHooxXzGD4UxFGpRnVxTkqbUuWztddFd6fdse3x1xphOK+JsbmeGwqpRrvRaXtZRvKy+KVuaWr95vV7jqKKK+0Pz0KKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACuQ+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": "9*17=153", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "6cc6e87621aa2705480cde3559d9e54512a74cd694e007164d83498c23f7eee3"} +{"episode": 43522, "episode_seed": 2486493415, "split": "train", "timestamp": "2025-10-28T03:46:51.962543", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 2486493415, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 0, 1])", "action": "('move', [3, 1, 0, 1])", "reward": 0.0, "image": 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", 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", 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+8WfGj9qrQP8AgplqfxR8VeNtb0D4mr8RZbXUtSeZbW4sy0xtniy/yRxCA+WAf3YjAH3a/qBr4g8W/AP4Mzft63/x/n+G+mv40X4o6TZJ4ikRmuFg+wWKbBk7R8pK5C5wSM4Jrh4tw069PDcs3H94o6d5dfVW09T7jwm48wHBH9prE4RV/b0HFXto1f3ZX/5dz5vftd+7HRlbQviT8MfFfiux0+P9q9/GV3Hcu+kaRqHji0vf3xjdPMjijwzSCN5F74V247j65+BHg5vAfwr0zw6/nBt9zdOs4AdWuLiS4KkADGDKQB1AHPNdWtraowZLaMEdCEFSV25TkVTLcXLEVa7qSkuXVdL33bZ+Y4vHxxNFU4wUUnfT/hkFeHf8FKvE3xi8G/sG/FPxP8Anvk8WWXhOeTTJdMi33MK5UTSRDrvWEysCPmBUEcgV7jQQGBVgCCOQa92vTdajKmna6aut1db/ACIyvGRy7M6GLlTVRU5xk4y2lyyT5X5O1n5M/m1/4Iu/F3xr4B/akuvDtv8AHPUvBfhfWtFuJfFF1ba9DYxztCjG2LyTZUsJZMDHzEO3YtX7K/AX4vt4l12HQfh3+0NceOLiK+jmmifxPBqLwq2Fw/kY2xkKfvD+8Qa9x+Bf7Jn7Nv7M39t/8KE+DeieFv8AhI74Xet/2XbbftUo3bSck4Vd77UGFXccAZNegxwQRHMUKKT12qBXxeE4Sx1GnGLxckk78sb23vpqvy3P0vxM8RMt444onmeFwfs4uEY+9bmdl8UrJq+vKtX7sY+ifRRRX3J+TH5pf8HPXij4y6J+x14V0PwPLfxeE9X8W+T42ks4/wB24SPzLSKZhysZlVmA+6XjTPIUH5e/4IffGnVtD+BXirwh44/aj1DwXoena/E3hzTYvFdppyO8sbtdOqyje/IhyegJwOc1+0Px38IfBfx58Idf8KftEWGi3Pgq7sT/AMJFH4hnSKyECsH3yu7KIwrKrB8jaVBBBANQfAPwJ8B/Avwg0Lwt+znpGgQeCra0J8Pp4dlSazaJnZy8cilhIGdmYtuOSSSSa+SzLh/E47NniaeJdO8UtL3Vu2q0e/qfsOF8RMDh/CT/AFYlgOaftuf2tly78172v7S3uf8AXvr0PgrSfC/wb8C/Gr4S/EX9mHUrK98d+IvixBb3niDRL6LUL/xFp9xKW137bMGY3EKW4eZ2bIhkih27CQD+lNfEXwT+AXwX8K/tyw/G/wAO/DfTbTxdrfxL8T2+qa/GjGeeIR6qNnJIUfuo87QM7BnNfbtPhGhKhhKycm7VJLXytr8+p8dxbmlPMfqsIylNwp6yn8Tcm3yrWXuQ+zd3bcpWjflRX4K/8HN/if4yX/7beieEvGEt+vg6w8IwTeDoJI9tq0krH7ZIhHDyGREVifmASMcDGf3qr5V/4KMfAb4OfHrxx4C0n4y/DvT/ABHa6Xo2u3mn2+oqxSGcS6Yu8BWGeCRg5B7it+LaTqZHUaduVp+uqVn99/ke74RcX4TgnjWlmWJoe1jyzjZW5o8y+KN9L6Weq92Uj5O/Y++MGg/En9iLwdoX7Rf7ZV9HPqnhdrPXfDt38QbOzjay3SRR28kabXjRrYRqRuDFWOSCTXu/7CPhPwH8NP269f8ABv7Ofh/TtM8K3vwqt7vx1p/h2zhWwg1JLuJNJdjH/q55bR747RjfHGkhBJDN73c6bp1x/wAE+ZLeawhZH+DZVkMYwQdJxiuA/wCCcfwL+D/wA8T+NvCXwX+H2n+HNOutG0O7ubXT1bEs7SakpkZnLMx2qo5PAHFeFh8qxGCz7Ce0ryndSet9Eltu9HcyrcT4bFYLM6sabpqtJ2pRt7Jc873eq1p6ciUXqk+Zctn9UUUUV+hH5ueP6p8G/wBiS8/a9svinq/h7wQ3xqTR82M819CNZNmI3i81bcvuZRH5iebsJCgruwMD1xbW1RgyW0YI6EIK/mL/AGkfjH+1ToP/AAVC8U/E7xB4v1rRviTp3xFngtb95Ft57JFlMEEabvkSIW5RFB+QxnnKkk/s54J+OnhM+Jo7DQf2zrrxDd3ga3t9JuPHtndeczf3I4wHL8cbTnrXwsOMsHQlVjKg0+Z7W185bWffc/aPEXw0zDhahlk6uPWIVaimrtvktZ8sNX+7973Hpf3tEfblFYvw8udbvPBOm3XiIP8AbHtwZjIMMeTgsD0JGCfetqvtaFVV6EaiVuZJ2e6ur6n41Uh7Obj2djyX9vLxB8XPCv7GXxN8SfAcXn/CX2Xgy+m0FtOh8y4ScRE7ol7uo3FcAnIGATgV+AH/AAR2+L3j3wL+2BHp9n8b9T8H6Br+mXZ8Y6jBrsVktwkcMkkBklnypb7QUwfvfOwHDNX9LNePfsyfBj9iD4a+JPGt9+yh4c8D22qahrGPHX/CK3sM8kd4rynyrhUdvIZWaXEWFAO7CjFfPZ3klfM8ZRqU6/s+VNdb+sdVr0eux+t8EeIOC4Z4GzjJ6uB9tLFKNp2Vo3933209I/FT39/te58X/Grwj+xf8YvB/i3x38YfippPj2707wnJFP4h1rxRbaneaJaKzPGbXacW7eeVKlVDSSFUJYELX3j+yfq/xO1/9l/4d658a4LmLxheeCdMm8UR3tsIZlv2tYzOJIwAEfzC2VAGDkV8y/8ABSP9n/4KfFj4rXHin4k/DTTNa1Dwv8NJLrQLi9jY/YpvOum3qoIVjujQ/MCPlHFfatiS1lCzEkmJck/SuLhvB1MHmuMpzqObjyJt9bpu71eq23Plc7zili+HMJhlzNqUpe9a1NL3VCnq3aWjnpHVRSj7t3LX51f8HMPif4xaB+wfpmnfD2a/i8Par4xt7bxvLZR5U2nlu8KTMOVja4WL2LBFPUA/orWH8Sfht4D+MPgPVfhh8T/C1prega3Zta6rpV9HuiuIm6qR1HOCCMEEAgggGvpsxwssdgalCMuVyVr/ANdO/kcXBmfUOF+KsHm1al7WFGak46apdr6cy3j/AHkj8Pf+CGfxm1rw78LfG3g3xl+05f8Agrw5Z6xaz6DYQ+KbTTkluZY5PtTgSgs52x22T90duSa+p9W8GfA3wx8SPhr8Xv2c77TdY+Jep/GKx+x+KdMvYdT1TWhczomtLcTgsZYl057h5P4YFRCojzz+hvwf+B/wk+APw9sPhT8G/AGneH/DumeZ9h0qwhxHEXdpHPzEklnZiSSSSa+SvAHwD+DOift4R/HrSfhxpsHjLUfilq1pe+IVRjcSQCyvV2cttUbY0BKgEheTyc/BYrIMVl0sIqmIcr1IxtraPnG76dNEfoGZ8f4DPeL8xzmlRlRp1FKSpxtapaKio1tUuWesqlue7bSWvMvt+iiiv0o/GD+f/wD4OUPFnxovP+ChEfh7xpcahF4Z0jwxZSeA43QpAI5EVrqaIjhnNyrqzfe/dIOirX2H+yz+0Fa/EH9lrwdqH7Q/7bV/NrWr+G4z4n0bVviBYxpMH3AwzRcMA0RUMpIbDHJBzX318c/2T/2cP2mL/QNT+PXwe0XxTceF7w3Wgy6rblzaSkoWxgjcrGNMo2VbaMg4rvzZ2hOTaxk/7gr4yvwvjK2PrV44pwU3fS9/R6rRbLfQ/YeI/EzLM64FynIqeBUamDTUp6Welvd0b9/46l7e+lvueU/su+ERYnXPHu6UjWltII92PLZIBKQ6cc5M5GckfKMdDXrVAAAwBRX0uW4JZdgYYZSvyrfa+tz8lxNd4mvKo1a4V+T3jj42+J/Dv7Gmp+NfE3xdv9G+K0vxLMeq3FzdW8OoWviH+2lR7Ty5MrFHHbqqqMYW1RJAdvzn9Ya87T9kz9m6P9oGT9qlPg3og+Ictl9lk8V/Zv8ASmi8oRdc7d3lgR78btny5xxXnZ9k9bN40lTqcnJK/wDwV5rp6vU+m4XzvKsojVWNo+0TcJxsou8qfN+7lfanU5vfau/dXuvp81eBfjl4Uk8TjS/DX7ZF34lu71WgttJuPHdpdmXndlI4gHLgL1HbNfYnga41q68H6dc+IUYXr2iG43jDE46kdiRgkeua0VtbVGDJbRgjoQgqSjKcmxGW15VauIlVurWd9NfNv+rng4vGU8TTUY01G3b/AIZBRRRXvnAFFFFABRRRQB+aX/Bz14p+MuifsdeFdD8Dy38XhPV/Fvk+NpLOP924SPzLSKZhyIzKrMAflLxpnkKD8x/8ERvjt4j0/wCA3iTwX8Q/2r9W8IaDoutRJ4U0r/hL7WwjXzVkluvLSYFiu9o2OPlDO2OS1ftT8U/hX8O/jd8P9U+FXxZ8IWeveHdatxDqmk38e6K4QMGAOMEEMqsCCCCoIIIBqL4VfBz4XfA/4f6b8K/hL4G0/QfD2jxNHpulWMOIoFZ2dsZySSzMxJJJLEkkmvlMy4dxeOzR4qniHTTilpe6t0Wq0e++/Q/XsL4k5Zh/Cn/VSWCUqvtvae00ta/NzbX9p/y72t7Pr0PAv2WNB8K+N/GGg+LfBni7+3rDRb+9v5NatdSjvFurqWG4ilaWZMqzs1zIxAwdw6AAivqKkSOOJdsaBR6KMUterk+V/wBk4V0XNzbk5NtW1dvN9u5+WYzFfW6qny2srWCvin46eO7nTf28PG9l8X/FzabpGk/DzTJ/BkGp3CW9kNOdpn1S6jZiA7iaKBZmPKJHDnapBb7Wrz34/fso/s5ftTWmj2P7Qvwg0bxZFoF6bvR01aAv9mlYAMVwRlWCruQ5Vtq5BwKnPctq5rl7w9OfK7p+Tt0f9b2PV4czHL8uxk/rsW6c4uLcUnOPvRkpRUmlf3eV6r3ZS16P4B/Za+Ovhfxf+zP4fi+Kf7bOpAXdlc28uj6p45sLQSaaLiaO2imtwoMYa0EIZOGwxzg5r7g/ZW8LQwT638QbZ3aHV7OxtbZlIMTxQG4dXQgfMD9pIzkg4GOhz62thYooRLOIBRgARjAFSgADAGAOwrzsv4crYPHQxNXEyqciaSa7q3WT/qxOa5zQzCrWdGgqUaknKy2im7pKyW2y8gooor6k8E87v/2TP2btT/aAt/2qNQ+DmizfEK1s/stv4qe3JuUi8tovXaW8tmTeRu2nbnAAr0BbW1RgyW0YI6EIKkoqIU6dO/Kkru7t1fd+Z04jGYvFqCr1JT5IqMeZt8sVtFX2iruyWiCiiirOY8l/by8QfFzwr+xl8TfEnwHF5/wl9l4MvptBbTofMuEnERO6Je7qNxXAJyBgE4FfgB/wR2+L3j3wL+2BHp9n8b9T8H6Br+mXZ8Y6jBrsVktwkcMkkBklnypb7QUwfvfOwHDNX9LNedfBT9kn9mv9nLWPEOv/AAO+DOieGrzxXeC68QT6bbbTeSBnYZySFUNI5CLhRuOAK+azvI8TmmLpVaVZ0+RNaXur9VZrV7PVaH61wV4jZdwtwTm2SV8Gqs8Wkoy0stLe/fW0Pjp2TtO+17nzF4Pl8BfGi61Xwr4d+OknjnVdW0z7Bc3B8T2+o3VravvUBREMIgaRmyVxk8ntX3BBEIYEhByEQLz7Ckjt4IjuihRT6qoFPrpybJp5VKrKdV1JTtdtdr+bvufmeNxqxailDlUb7ef3BRRRXuHCFeE6J8NReftGpfjSpbNdM8Q3OsN5CkJI8kE8W9i2eH84txj5hx0Ir3aivNzDLlj6lGTlb2c1L1t0OnD4l4eM0lfmVvQKKKK9I5gooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK5D4+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": "92-58=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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", 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", 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", "info": {"equation": "92-58=34", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "c6c80314817d0bec8f445061c74a04f93c44272f9979f38048d33c2275680bed"} +{"episode": 43523, "episode_seed": 4265099376, "split": "train", "timestamp": "2025-10-28T03:46:52.039732", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 4265099376, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 0, 4])", "action": "('move', [8, 6, 0, 4])", "reward": 0.0, "image": 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wFbYSGGCcnlv+ChHwj+Gfxk+FXh74e/FDwXZ61ot94ztzd6ddBgkhS1u3XJQq3DKDwe1fn+bcP4mEcXiliGou8uVX10vaWq22Wj0P2jNvEPBZ3lGQZdDCyw8sJDklVilzPVRcqesb35XKV5RvOUlfS7p/8EuHmj/ZLtdK01pH8M6b4o1qy8CSvGoV9Civ5ks/LK/6yERjbG/O+NUbLAhj9E15n+xzo2k+HP2aPCfh7QNOhs7CwspLaytLdAscEMc8iJGoHRVUAAegr0yvs8si4ZdRi3e0Y6/JH5RnmMhmGc4jExjyqc5O3q3v59/M+WP22PE+s6X+1N8LNG8Q65PY+FpfD+vXNksjrHaXOtp9lSNZHJGZFs5L5kQnkeawB2Ej56/an+I3x7f/AIIR+OvFPw61XVrgT61qVpp+qQWyiabwm+tyxLKCg5hayIHmj70J3Zwd1fV3/BQ34SfDX43/AA08KfD34teDrXXdEuvHEUlxp14XCOyaffMhyjKQQQDwaPD3h/Q4P+Ca954Tg0mCPTI/hbqFnHYRx7YktxaTRiIKOihPlAHQV83Vwk559i/fa5qP3X0/C1/mz7LKOI8ryvB5biHhlOpQrQlJNR5ZRpzlPR7tz51GV1Zcid5XtD4O/wCDVLWPiZL4D+Lmg30Vz/whsGr6bPpkjQAQ/wBpvFKtyFfGS3kpaFlzwNh43c/rfXzp/wAE7/hB8Mfgb4d8ZfD34Q+CbLw/osOv288enWCtsEklnCXcliWYk45JPAA6ACvouvV4ag4ZHQV76X+9t/gcXiXxFhuLOOMZmtCl7KFSStHS/uxjG7tpzStzStfVvV7nx1/wXm8SfFjwx/wTJ8eXfwllvYpLh7O18QTafHmRNKlnVLnJHKoykI5H8Dtngk1+ZX/BErxt8QtV8A/FfwNrHiW7m8M6L4OvLjRNPlnBisrmcD7S8Y6pvEUBP8OUz13Z/ezxR4Y8PeNfDWoeDvFuj2+o6Vq1lLZ6lYXcYeK5glQpJG6nqrKxBHoa+Tv2gfgV8If2cfCWnfCj4HeAbDw34esvAXiSW20vTkIRXkltXdyWJZmLHqST0HQAV4XFuV1aieOVS0YxSce/vL8Nb+qXy+j4b47wOD8O8RwrLCp1a1ZVFV00SUW/PmXJyq2nLOWqtaXqn7IXjvUvHekjU7Lx0/iXRzpcSxax/aC3STSphMiVPkZjtbdjuORnNe11X0lEj0u3WNAo8hOAMdhVivqsrwU8vwaozqObu3d76u/d/mflWKrxxFZzUeVdkFFFFegc5/O3+3b46/alf/gulqGrWyarJ4y0j4oafa+BLU2gZhZJNH9gSKM/K0bxMrejeY7NyzV/RJXx18fPgn8JfEX7eGnfG3XfANhd+LND1jwraaPrsysZrSF7wblTnaM+Y/OM/McGvsWvmOHqDo4rGXk3+86+l/v1/A/U/EfjXB8W5bk9ChhlReFw6pyat7z0WlvsLlvFPVOUvVlfm/8AEb4m+OdOu/iRdr4svx8TV/aAhstD0uWOJroldUtl0m2ht2+9byabHFLnHzRtPITwzD9IK+OPjJ8EvhLrP7fdt8c9W8A2Fx4u0nxH4cstM1+VWM9tA3lhkTnaMiRxnGcMRmlxTQlWoULSa/eR283a/quh81wlmGX4GtW+t0udcqktE7uDuoSv9ie07a6J2drP4L/4OnfEPxXk/aD+HHhLU5L1fA6eEJbvSEMeLaXVGuZEujuH35FhFoMH7quMY3nP6pf8E5tY+Juv/sJfCfV/jFDcp4jn8D2B1EXkAilP7oCNnUYwxjCE8A5PIBzXD/8ABSL4J/Cb45yeCvDvxf8AAdh4hsbBdVvrS01BWKR3CRQBZMKRnAZhg5BzyDXvfwV/5I54S4H/ACLNh0H/AE7x0ZdQcOJMZLmb0hp6r9Laep9LxLxrg848N8oyKnhlCeGlUcp6a3f2evvXvO+8op69Omryv9qP4Ufsf/FGy8Lxftc6J4Pu4LHxHE/hP/hLb2KBTqTA7I4TI6+a7gf6r5g+0ZU4GPVK/Db/AIOjPFHxdH7VngHwzqd1fxeDbXwZ9s8OKFKwNqLXMq3bqw+9IqJaA91BXGN3Po55j4Zdl0q0oc6ulZ7avr/W9jh8K+FMRxnxnRy6jinhpOM5e0jfmXLF6Rs1dvZ6r3eZ9LH7i/ZLUNuFtHnPXYKkr83v2O/2lr7XPgn8PvEvxO/bX1C78Xah4ftG1bRtR8d2R826lj2+W8AAfcdw+XO7djvX3/8ACe71y98A6fc+IWka5ZG+ebO9k3HaWzznbj61y5VxFhs3xLo0qclZXu7d0raN9z5TN8lrZPXqUqk4y5JuF4u6dm1deTtodFRRRX0J4p49/wAFBPEHxW8KfsR/FLxJ8D3vE8V2Xgq+l0aTTo99xHIIjl4h13qm5lxyCARk4r8nf+DWbW/ien7TvxI0PTEun8I3PguK416QQBol1BLtBZ7nPKuY5L3A/iAYn7tft9fsVsZmU8iJiPyNfI//AATA+CXwl+Cd/rNp8J/ANhoMet+DtD1DVhYq2bq6ZroGRyxJJ9ugycAZNfMZpQlLiHBT5mvj09Ff8b2fkfqfDHGuDyfw4zjIqmGU54l03Gemlmvi6+7bmhbaTb06/XteHf8ABSvxH8WPCP7BPxW8SfA971PE9n4Oun06XTY91xEuAJpIx1DrCZGBHIK5HIFe40kkaSo0UqBlYEMrDII9DX0Vem61GVNO101ftdbn53leMjl2Z0MXKmpqnOMnF7S5ZJ8r8naz8j+eD/ghf8Vdc8E/FLxt4b1H493vgfwxe+H4rq8ktvEFtp63V/HOqQAvMCWIjkuflX6noK/QLRND+EOg/Hf4afFf9n/xNa658QPEPxZtrbUfE+nanDqWo63ZSqBq0V3MrEyW8VigkK8LAYYCoQkbvsn9lP4Sfse/C/wbq+m/se6B4OttDudfml1n/hEbyK5h/tEIiyJI6O4V1UIPLyNoIwozXh/hD4IfCLSv+Citx8dNO+H2nReMNQ8bXlheeIFRvPktl0FwI+TtUYRBkAE7Rk1+dTyDE5d9UcsQ5J1IpJX5Vdt3Wv6Lc/ZOKfELBcR8Z4/NaeHnQjKk1yWXNUago8tbVLle8vi0SjbXmX2LRRRX6Ufhh/NP+z78XPj/AKV/wVr/AOE2+KHxF1Xwx4t1Dx9fWnjfV7i7isp7SFndLqNnlGyFVjUoB0UKoXotfo9+0Ro37K/xR+G/i/4j+Mvi9ZeO/EWh+Epf7I16/wDEttquoaK6MZLU2SocQytd+Vt2rulk2RncCEPunw8+B/wj0n/goLdfG/T/AIf6fF4u1jxpqtlqWvbGM89uulyhYzklQMRp90AnaM5pn/BRH4G/CD4lfFzS/F/j34e6dqup+FPBz3nh27u42JsJzdE+YgBCk5RCNwOCoIxX5LVymusur1vby5Y1XHl1s3zJcz131vt03P6A4m8SMt4k4qy/G0cM8MqVCEX7O3M3FOTgtUuS/uK70jq4v4D6p+Et54x1H4VeGdQ+Its0PiCfw/ZSa7C0YQx3jQIZlKjhSJCwwOBXQUUV+sxXLFI/A61RVasppJXbdlsr9F5I/nx/4L+/En9oDQP+Cq91qt1rmracPC1ho9x8NLmPMX2aERRzefbkdT9t+0Zfruj2nhAB+inwz+KXg/xnF4ag8S/tWy+K9da1glGg3/jezux9va3xIUgiwS67pQAM4BPFfX/xI/Zi+AHxg+I/hb4u/E34UaRrXiXwVOZvC2sXsBabT5CyvuQg4OGVWG4HawyMHmu3W1tUbeltGCOhCCvi8Rwpi8Ria8/rTjGo27K7un0eqWmy30P1bijxHy7PuGsny2lglCeCpuEpae8/dV42V7Pl55X155Ptd838FvCR8D/C3RvDLGXdBbF2E+N4aR2kIOAMYLkY9q6iiivsKFJUKMaa+ykvuVj8nnJzm5dz5X/bY8Uazpf7U3ws0bxDrk9j4Wl8P69c2SyOsdpc64n2VY0kckZkWzkvmRO481gDsJX5v/Z6+O/gbxV8MNRtPGn7aF0ukyeKNctNN0W88b2FtbzaOt/PHbxmEAHymgAA5BZCDnnNfoN8df2fPgv+014Bk+F3x6+Hen+J9AkuorltN1JGKCaMkpIpUhlYZIyCOGI6Eg9Jo3hrw94d0e08P6DolrZ2NhbR21laW8CpHBCihUjVQMKqqAAB0Ar5bH8N4vGZlUxMMS4KSSsr30VrbrTr82fX/wBv5VHIKOFWHvWi7NtR5bJzkmnq3KXOlJNKygmnLmtDz79mDwuNK0DV/FAaT/ieahHMu7GwrHBHEGTjkHb159q9PoAAGAKK+iy/BrAYKnh078qtfufKYis8RXlUta4V41+1V4Ffxtdabpw0t2N9p13pi3kCkyItxsDoOoH3FYZH8J7A17LRWeaYBZngpYdy5U7a+jT/AEKwuIeFrqole1/yGW0It7eO3UkhECgn2GKfRRXoHOFFFFAHi3xG+Hx8R/tB6dKNMkiEl5pt7JdQKf3os5VmUsTkYDLtOMcMO5Br2miivPwOAWCqVpqV/aScvS6Wh0V8Q68YK1uVWCvzE/aO+MWveE/BPxj8Q+Ivite6F4+tfjYbTTZJrmCC6swuo26aTHCkvyrC+nJDKHIwUaaQnhiP07rg9W/Zf/Z91348af8AtPax8JtHuPH2l6abDT/FElvm5htyJFKA5xnbLIu4jcFcjOOK489ymtm1GnCnU5HGSd/66rofQcMZxlmUVaksbS9omk0kou8ou6hLm2pz2na7WjtK1n8seFvGPw9+IPikaPo37SkvjrVHtZodPsLjxhbajLCj4EjRRQgNkgLk4PAFfaHgvQU8K+DtJ8Lxu7LpumQWqtIQWIjjVMnHGeO1aCW1vG26O3RT6qgFPqcnyWpldWpUqVnUlO2r8r+bvueNjMbHFQjGMFFRvt5/JBXCfHH9mP4A/tLW+i2nx5+FOkeKY/DuqLqOipqsBcWtyBjeuCMgjGVOVbAyDgV3dFe3OEKkXGaTXZ6nPhcVisFXVfD1HCa2lFuLXTRqzWmhH9ktQ24W0ec9dgqSiirMAooooAivVkezlSGNXcxMERjwxxwD7V5B+y14ATw5qer65HYTWiLp9ppUNqykJGlu0zBRkZyPN2nnsO9eyUV5+IwCxGPo4lyt7Pm078yt+B0U8Q6eHnSt8VtfR3CvD/8AgpX4j+LHhH9gn4reJPgfJep4ns/B11Jp02mx7riJcATSRjqHWEyMCOQVyOQK9wpJI0lRopUDKwIZWGQR6GuuvTdajKmna6av2utzfK8ZHLszoYuVNTVOcZOL2lyyT5X5O1n5H88n/BDL4weJ/BnxI8Z+DNU/aF1HwR4RuNES+uEg8R2+nxT6is0ccRzMDlvKabIXqFG77q1+vH7K1h4U8f8AjrS/FvhH4gHxRDpOo3N7e67Fq0V8bi5a1ktyJpo8qWCTL8owQFXsDn2j4E/swfs+/syeHr/wp8A/hNo/hbTtU1N9Qv7XTLfas1yyqpc7iT91VAA4AHAFd1HFHENsUaqPRRivj8BwpicNOjKriW1CSly2fLdO+l3+nc/QPEjj3A8acT4nM8JhfZRqqMVe3M7RUbytpd277Jdh1FFFfan5gflVcfG/VtA+EPwv1jxR8dL/AMOePdV+LUkPjO7l1K2tL2C8M92NZgm83It44Y3dRgDYotwPvru958ATeBPjVrV14W0D49TeOdS1C2S1uJm8UW+o3NnbF8HaIhiNMsSSwxnvX0/4e/Zd/Z78KfHDWv2k/Dvwk0a08deIrJbTWvE0Vv8A6TdwgRjaxzgZ8mLJABbYuScV3UdvBEd0UKKfVVAr4WnwfirONTFPlcr2Sdnre713fo9e59vnnEuV42uqmCw/LfmbbUU1KbbcY8t/ch8Mdm1d2jflT6KKK+6PiAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK8f8A2zf26v2cv2CPh9p/xJ/aO8UX1jY6tqhsNMtdI0a41C7uZVhknlZILdGkKRQQyzSPjaiRsxIr2Cvgf/gtx4c+JegeIvg3+0f4P+C3ivx7pHg9fGuja5ofgvRJNSvkm1vwzd6fZTfZ48sYvtJSJ36RrPuPANAH3T4V8UeHvHHhfTfGvhHWINR0nWLCG90vULV90VzbyoJI5UPdWRlYH0NX68i/4J//AAm8Z/Ab9hb4OfBP4ix7Nf8ACfww0LSdbi3hvKu7ewhiljyOCFdWXPfbXrtABXM/Gb4veBvgF8Ktf+M/xLv7i20Hw3psl9qc1pYy3MoiQZIjiiVnkcnAVVBJJAFdNXIfH74gaV8K/gn4p+Iet6JrWpWuk6JcTz2HhzRptRvpwEI2wW0CtJM5zwigk0ARfs7fHz4c/tSfA7wv+0P8Ir66ufDPi/SItS0Se9s3t5Xgk+6Xjf5kPHQ812lfIv8AwQp17Ur3/glr8KPBviD4feLfDGseD/D8eg65pPjLwvdaTdJdwKrOUiuURpIv3g2ygbWIYA5Bx9dUAFJJIkUbSyMAqgliewpaSRxHG0jAkKCSAMk0AeJfslf8FCv2Y/21/Efi3wd8DPEWsPq3gqW2/tvS/EHhu80u4+z3Ic215FHdRo01tMI5DHMoKttOO2fbq+Av+CQ/xZ1D9p79qD49/tYfFf4QfEbwd458VXljpemaD4x+HuoaRaaR4V06W5h023iubmJI7u5maS4u5/LJCG4RBwmT9+0AFFFFAHiN1/wUK/Zo0/8AbHsv2FtS1nXbXx3qcUx0trrwveR6XfTw2q3ktpDftGLeW4S3ZZWiVyyqecHivbq/Pb4z6d4p+Jv/AAXR+Dvin4XfB/4uR3vgG31qy+IeteJdKuP+EMj0KbSHMF3pssha3F7Jdywwl4NsxWORJBtUV+hNABRRRQB5Z+1h+2X8Av2KvCfh3xl+0B4ql0y08V+MbDwvoKW1m9xLd6leOVhiVEBOPlZmboqqSa9Tr8vv+Dg/4JftsfEnxN4C+IHwL/ZeX4m+FPCcujNZw2niYWt1pWuSeJ9Lle4+yrBLJcK1taJbmYbVtorm5lbcqstfp3p017cafBPqNmtvcPCrT26y7xE5ALKGwN2DkZwM4oAmooooA80/aw/au+Ff7GnwoHxi+L1tr1xpsmtWWk2tl4Y0CfVL+7vLuYQwQw21urSSu7sFAUE811Pwk+Jej/GT4aaJ8U/D+ia3ptlrunpd21h4k0abTr+BGHCT206rJA47o4BFeFf8FYfCHwh8ZfsofZPjj4O+LuseH7HxXpmoyH4H2txL4hsbi3lMtvdQi2/fqqTLHl4fnUlTwoYjU/4JTL+0mn/BO/4Tr+142sn4hf8ACML/AG8fEjZ1Lb50n2b7Wev2n7N5Hm558zfnnNAH0HRRRQBW1nWNK8PaRd+INd1CG0sbG2kuLy7uJAscMSKWd2Y8BQoJJ7AV5d+yD+2x8B/25PAl98Sf2f7/AFu50iyvxbrc634au9N+1o0ayRXVuLmNDPbSowaOZMo4zg8EVd/bW+Gvi/4z/sb/ABZ+D/w+I/t7xV8NNd0jRMvtBu7nT54YRk9Pndea+P8A/g3o8NftD+Efgt438PfE3TfizY+C7G48PWngrTvjKs66pa30Wh2setxwLcfvEsF1BXWBR+6Cq3l/JigD9DaKKKACvnz4R/8ABS79nn4yftZap+xZonhr4g6R440yx1G+8rxT8PtQ0yzvbWyuUtp7i2ubiNY7iLzJECyRkq4YEE5FfQdfKH7Ofgfxn8Rv+CqHx8/ab8aeE9UsNJ8J+F/D/wAN/h/dalp8sCXsCo+rapc25kUCWJrm7t4fMTKlrMjOVNAH1fRRRQAV4F8av+CmH7JH7P37UPhn9kH4l+M9TtvGPih9PS1W18P3VxY2T388lvYJd3caGK1a5mikjiEjAuykCvfa/KD/AIKR/Bv44+Kv+CzXw/8AG/h34E+OtXmj1D4dt4B1nQNCkm8My2tprV/Nr767Ko8rzba1ljltDOd0bvuh+YmgD9X6KKKAP//Z", 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", 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", "info": {"equation": "80+70=150", "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": "80+70=150", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "80893b68bb8a1a057fb1f2ed9f886f011719119711f5428808ba12648434ba03"} +{"episode": 43524, "episode_seed": 3147894453, "split": "train", "timestamp": "2025-10-28T03:46:52.108332", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 3147894453, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 7, 4])", "action": "('move', [0, 5, 7, 4])", "reward": 0.0, "image": 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", "info": {"equation": "31+57=88", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "31+57=88", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "29f962b8405a1d2f249baee7779541a992fff19cb8693771ccb86bddf99926fa"} +{"episode": 43525, "episode_seed": 1061178799, "split": "train", "timestamp": "2025-10-28T03:46:52.177266", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 1061178799, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [7, 6, 1, 5])", "action": "('move', [7, 6, 1, 5])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "19*16=304", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "19*16=304", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "9513f6bc88fe4602b71c339ed78832855b4fe13dfb32f6c3affccb7c1f69cdbd"} +{"episode": 43526, "episode_seed": 1440875921, "split": "train", "timestamp": "2025-10-28T03:46:52.236976", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 1440875921, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 5, 0])", "action": "('move', [0, 6, 5, 0])", "reward": 0.0, "image": 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", 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kdQmNy9FLA9a9F+LP7Gv7Lf7M/wAFPHXi34C/A/QfC+peJb3TH1q70u2KtcY1OFwoySI03Ox2JtXpxwMdB+yVHG3xd8fu0akjStEwSOR82oV+Xrh3E4fM6WCdezlGTur6LstVvbXbc/YPE3xGy3j3Nv7VwmE9nCEYQtK3NJpt80rXWnNyx30Sel7L2L4c3WvXvgnT7nxMri9eHM3mLhjydpYdiRgketbdFFfqFCk6NCNNyb5Uld7uy3fmz8SqSU5uVrXYUUUVqQeTft3eIPjJ4U/Y3+JPiT9nyK8bxpZeEbyXw9/Z1uJbhZwh+aJDnc4XcVGCcgYBOBX8+H/BHfxV8bbP/gpr8MNV+FT397qmpeKUh8SSJD9oeXSpX/4mMkpfPyiAyOXJyCoIOcZ/por8/wD9iv8AZ0+Bnwz+PPw++K3gL4YaZpfiTxJe6m2uazbo5nuy9jeyPksxChnwxCgAkDjgY+M4kw0qmbYKfO1eVvTVO68+h+2eG/iJl/CnB2cZXXwaqzxEPdlpbWLjyzvq4xvzRS6trS91+gFFFFfZn4mfGX/Be/xd8cvBn/BNvxXqHwNl1GF7m/tbTxVdaXFulh0aQutySR8yIT5aOw6I7ZwpYj8f/wDgi58U/F3w/wD2p7jQ7P4z3ngrwzq+hzt4nvrXWLewWUQoxtlaWYEA+c4wq8nce2cf0i6xpGleINJutB17TYL2xvrZ7e9s7qISRTxOpV43VshlZSQQeCCRXA/s9fsj/s2fso6DqHhn9nj4PaR4VstVu1utSi0+JibiVVCKXeRmYgDoM4GWIALHPyuccPYnMsxhiaddwSVut16Wa3vrqvmfs/CnihlfD3hrmHDVbAqpUxEm4z05feUVed9eany3p2vrba138Z694Y/ZI+PfiAal8WfiroXxRvNN0e6jtovGHi611RNMs2AN1JFEGCQAgJvn2hgET512ive/+CS994kuv2OrGxv5bybw7pviTVrH4d3V9brG8/huG6dNOcYxvj8kAI5+9GqHJBDHG/4KFfs7/BD9oH4s/Drw78aPhnpviKxsND125s7a+DhYpTcaUpcbGUn5SRg5HPSvYv2MLS1sP2U/ANhY20cEEHhq3igghQKkaKuFVVHCgAAADgAV5+Q4Gpg+I8RTnVc3GKu31vZ66vbZanyeY53Rr8IUsIuaUpTvyytyUlHn0p6t3nzXl7sErWtK916dRRRX3R8IeJfHT4G/sDeOv2gvB3jb9oPw34BuPiTatCvgt/EGoQxajOY5i8SwwtIpuNspJUbXwxOOTXtJs7QnJtY/++BX8yH/AAVf+IH7Qupf8FJPiRrnxi1XWLTXtC8XzweGXm3QSWWlwzs2nNb7cbE8kxyqy/eZy+dzE1+pv7N37SU/iD4EeCvFPxh/bx1O38VXnh6zufEFpP8AELT4dl0yBnVogvyc9V7dOK+Ghxhg8Piq0J0GrSteKV3bS8ttfvP3Lj3wtzHhvhjKcdUzFV1WhpBt2p3Snalq7w11aUdbO3vafpKqqg2qoAHQAUteVfs2+L/EfjIXusy602p6TdQJcWt+J/NikZ/mBicZVlZTn5TjG3HXn1Wvqssx8MzwccRGLinfR+TsfiuKw8sLWdNu9gooorvOcK/ms/4Lj+Lvjl4m/wCCknxAsPjbLqKx6Tfi08IW17Fsii0YDdbGAD5SjhmcsPvOz5+bIH9KdfEn/BQj9nH4FfG/9oW98R/Fz4X6X4gvfDvwys5dFm1FHb7K5utTckKGCsC0aHDAj5enJz8lxpSc8n5+a3LJO3e+n63P13wY45wPAfFM8ZisP7WM6coaW5ou6d430s7csttHfW1n7V/wTU1/4x+KP2DfhZr3x+t7uLxZceE4DqQv7UQzsgLCB5EGNrtAImOQCSxJAJIr3Guc+DzFvhJ4WZjknw5Ykk/9e6V0dfT4eDpYeEG72SV3u7Lc/MM0xkcwzOvio01TVScpKMfhjzSb5Y+SvZeSCv5Svj38VP2m2/bH174rfFfWtXs/ipp/jP7TdXN5GI7mx1G3mHlKqHKoIjHGqKPkCooHygV/VrXmWrfsafst69+0Fa/tVax8D9BuPiFZoq2/imW2JuF2xGJWIztZ1jO0OVLABcEbRjxOIMlrZxCkqdTl5Xf7+vqunq9UfqXhH4l5b4c18dPGYP2/t6aitrpq/uu//Lud/ftd+7H3WfGl74/+D/xR+F0Hg344/toTa1ZarpNunifQNS+JtmttdsURpoJhCUJjLhlZAwDLlTkEg9J+xj4V8HfC/wD4KKXvg79mvw/YaX4f1P4aPc/FLSvDthClha3sVxEujySeWMQXEkUl9hBt3xoHKnO8/T/7a/h/RNb/AGR/iNouraVBPaXnhG9guoHjG2SN4irKcdipI/GvKP8Agnt8B/g5+z38U/Hng74J/DvTvDemXPh/Rbq5tdORsSzG51Rd7M7MzHaqgZPAHGK+dhlWIwPEmFhUxEqjak7u99E9NW9H1PAwXEGHhw/jY8slzpxVJW9ledk5y1+KFk4JQfvRi3Jctn9WUUUV+hn58fE3x58Y69F/wUb1fw/8T/EdzZaXZ/De0k+GlheSLDZ3QkllbV5oiSPOnQw2gccmOLnAU5Pin7MH7RWh6va+PE1H9t3UtJ0O0+Jurw+DbZPGun2UZ03dG5aJCuXi+1PdhJDnegUgkYJ/QT9ob9lj9nr9q/wxZ+Df2ifhRpXivTtOvftdjb6kjZt5thQujoysuVYggHB4yDgY6/w74S8L+EvD9j4U8MeHrOw0zTLOK006wtLdUitoI1CRxooGFVVAAA4AFfGYnhjGV8zq4mGJcFLte/o9Vouh91X4lyWeSwoxw163LCErqKhFQVueD1k51LJzulZ82suZcvy3+z94Y8HfE3WtBuPBHjEa9Yad4j/tW61qy1OO8+0XSSPNI00yZUs8jktjBy3GK+tabHHHEu2KNVHooxTq9vJcp/sjDypuo5uUnJtq29vN9u58jjcX9cqKXLZJWsFFFFewcZyXxz0BPE/wt1TRZNHW/SRYna2YMc7JUcMAvJKlQw91rkf2XvA7aTdeIPH8vnhtbWztlWQAIUt/OIZeMnJnYE5I+UY6GvW6AAOAK8qrlcaub08c5v3YuNumt9b/AD/I6o4pxwkqFt3e4UUUV6pyhRRRQAjlwhMYBbHyg+tfPPwV+FCR/FjSLmPSJtOh8JS3U0drChEUbSQSwCM7gTjEzMOcnAPIzX0PRgeleVj8rjjsVQrObXsne3fb7tjqw+KdClUglfmVvQKKKK9U5QooooA8h/aY0KW61/QfEUeiCWS0t7i2t7tEZnXznhZ4uOMMYYiO5K8V23wT8Ep8OPhJ4e8DRyTMNM0qKHNwRv4HOcADPPpXUUV5WHyuOHzStjedt1ElbtZd/kdVTFOphYUbfDfX1CiiivVOU8y+KP7Gn7LXxq+K+hfHL4rfA/Qdd8W+GvK/sTXL+2LTW3lSGWMcEBwkhLKHDAEnGM16SbO0JybWP/vgVJRURpU4ScoxSb3039e51V8djcVSp0q1WUo01aKcm1Fb2im7RV9bKwiqqDaqgAdABS0UVZyhRRRQAV4R+0x4Ik1/xy0kWhv5ur6EumC8t0YvKgaYhO4ypmkYcfxEnIr3eivLzfLFm2CeHc+VNp332OrB4p4St7RK5neENCj8LeE9L8MxSO66dp0FqruQWYRxqgJxxnjtWjRRXppWVjmbuwooopiOa+Megp4o+Fuu+HZtHTUI73TpIZbNwxEqMMMMLyTtzgDviuD/AGYvBUll4h1/4iTidX1KxstPVZAAjLbyXUm5eMk5uWBOcfKBwQa9hory62WRrZrSxrm/cTVujvfW/wA/yOqGKcMJKhb4mncKKKK9Q5QooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKg1W0l1DTLmwhuWheeB40mTrGWUgMPcZzQB88fs7/8FXf2Iv2pf2hNT/Zl+DfxOu77xLYLfNYyXWhXVtYa2tlN5N4dOu5UEN6IJDtk8pm28nkAmvo6vxU/4JW/s3/tM2H7RP7IX7PHjH9m/wAceFLz9kmy+JEfxQ8Xa34flttIv21W5mWxXTrxvkvxcCVZW8snaAd3Sv2roAKKKKACvDf22f8Agon+zB/wT80rw5q37SXiLV7JPFWp/YdIj0fw9c37F98UZeQwoywxh5oV3uVBaRQMk4r3Kvz7/wCDj/xbq0v7BsXwU8H/AAj8f+LvEHivxdo15ptt4H8DX2sLDDp2rWN1cm4e1jcW/wC6DFN+PMKsFzg4AP0DVgyhh0IyKWua+DvxN0X4zfC/Q/in4c0XW9Nsdd09Lq1sfEmizadfwI3RZ7adVkhfjlHAIrpaACiiigCh4q8T6H4J8L6l4z8T34tdM0iwmvdRumRmEMESGSR8KCThVJwATxwK8P8A2QP+CmX7KX7b3jjxJ8MPgrr3iC28TeFbOC+1Xw74u8JX2jXv2Gc4hvI4byKNpIH4xIBj5l9Rn2rxz4pg8DeCdY8bXWkX+oRaPpVxfSWGlWjT3VysUbSGKGJeZJGC7VQcsxAHWvzl/wCCM3xR1j9qv9sv4sftrftGfBv4m+D/AIs+M9ATTdH8NeKPhlqek6V4V8JWV2Ba6el9dQpFe3sskouJSp7kIoVGoA/S+iiigAooooA+d/2zf+Cov7Jn7BOvWWh/tF6t4ps0uLOK8v8AVdG8E6hqNho9rLP5Ec99dW8LRWiNICq+YwJ2nAr6B03UrDWdOt9X0u7Se1uoEmtp4zlZI2AZWB7ggg1+ZX/BxfYXHxz+F0X7N/gf4FftB698SIrK3v8A4ZS/D3Rbu48J6xfzX0GbbWNhNpKkP2VHKXqhVWUmMnc1fpJ8PYvE8HgDQ4PGtvaxaymj2y6vFZKBCl0Il81YwOAgfcBjtigDYooooAKCQoLMQAByTRXif/BRvwh+0t8Qv2I/iL8P/wBkKKF/iFr2gNp2h+dqiWJVZ5EiuGS4cFYJRbtMUkIO19pwcYoAX9jX/goL+y/+3zF43u/2YfGtxrtr8P8AxZN4d1+9fTpIYWvIxkmB3AE0ZHIkXgggjrXtdfmV/wAG+vws/aS+Cfxb/aZ8B/Fb9iX/AIVB4Xk8e6fL4etV8Rm+t42h0y2tRaWsn2aEXsKxRI5vE+VnZk27lJP6a0AFFFFABXzn8Sv+CoH7Ovwz/aqm/Y4ufCHxK13xlZvpQ1U+EvhtqWq2GmLqJItZLq6tomitkYByXkIAEbknCnH0ZX5Lf8FUPAHxC0r9u1/H/wCwp4E/aZ0v9onXvF/hCCHW9BtbuPwBq2i2wUTm/li/0SSGOCW6R1uT5iyZ2Da2SAfrTRRRQAUUUUAch8fPj18Jf2YPg7r/AMfPjr40tfD3hPwxYG71nVrvJSGPIUABQWdmZlRVUFmZgACSK5/9lL9rj4TftkfDyf4kfCSz8S2draX5s7yw8XeFLzRr6CTy0kUtb3caSbGjkR1cAqwYEGvnf/g4J/Z2+MX7TH/BMvxP4J+B2g6xq2t6V4j0PXZNI8OjdqF5aWWoQzzrbL/HOsatIifxNGAASQKo/wDBDa3/AGg4/h18WLn4iT/FhvhvP8Tpm+Cg+OD3TeJRo32aLzTcfbP9JERufN8sS/NgNj5cUAfctFFFAH//2Q==", 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", "info": {"equation": "0+74=74", "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+74=74", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "c573cf2b3e06256b5d28c6d4fed366d0f8c0fc7143163e4c56087ae2b625ac28"} +{"episode": 43527, "episode_seed": 3068108525, "split": "train", "timestamp": "2025-10-28T03:46:52.279685", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 3068108525, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 3, 4])", "action": "('move', [5, 0, 3, 4])", "reward": 0.0, "image": 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", 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", 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rjAwAZMAHnGM5NdvRRX6RhaCwuGhRTuopL7lY/F6tR1aspvq2wr+dX/g4T8W/HDXf+CkHiPw98VptRXRNIsLRPAVtdRbLddNeFGeWADhg1x54Z+SWj2k/IAP6Kq80+P8A+xz+y/8AtT32i6n+0L8E9D8WXHh6R30ebVbcs1vvKllypG5SUUlGypx0ry8/yqrm+B9hTnyu6euz8n+fqj9M8JOPcB4d8VPM8Zh3Wg6coaW5ot2alG9lfTleq92T9H+eP/BP/wDaU8R+LP2QvBut/Hv9unW9O8SyWk0c9pdfECxtpY7dJ5EttyOC4JgWM5f5mzluSa+7f2ZfiBrvj3VF1fS/GJ8QaLPYEnU0vVuIZCuEV1kT5CxKkHb1+bjI49mj0+wijWKKxhVVUBVWIAADoBUqIka7Y0CgdABivOwfDeMw+Kp1Z4yclF3s72fl8T/LY+VzviDD5vj8TiaeFjSVacpKMbWjzSbstFor2W2wtFFFfWHzJ8Zf8F7/ABd8c/Bv/BNvxXf/AAMl1GGS5v7W08VXOlxbpYdGkLrckkfMiE+WjsvRHbOFLEfj9/wRc+Kni74f/tUXGhWfxnvPBXhnV9CnbxPfWus29gsohRjbK0swIz5zgBV5O49s4/oT/alghuv2Y/iNa3EQeOTwHq6ujDIYGylBBr52/YB/Z0+Bn7Pvxy1fQvgt8MNL8O2upeC0uL+KxRibiUXYVWZnZmOBwBnAycDk5+E4gwFXFcQ4aMKrg5ppNfZ5U3pqtz9w4R8R8uyLwtzLh+rglUqVpXU9LPm5Ved9eanbmha+ttrXfmOveGP2SPj34gGpfFn4q6F8UbzTdHuo7aLxh4utdUTTLNgDdSRRBgkAICb59oYBE+ddor3v/gkvfeJLr9jqxsb+W8m8O6b4k1ax+Hd1fW6xvP4bhunTTnGMb4/JACOfvRqhyQQxxv8AgoV+zv8ABD9oH4s/Drw78aPhnpviKxsND125s7a+DhYpTcaUpcbGUn5SRg5HPSvYv2MLS1sP2U/ANhY20cEEHhq3igghQKkaKuFVVHCgAAADgAU8hwNTB8R4inOq5uMVdvrez11e2y1PisxzujX4QpYRc0pSnfllbkpKPPpT1bvPmvL3YJWtaV7r06iiivuj4Q8S+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/wCvdK6Ovp8PB0sPCDd7JK73dlufmGaYyOYZnXxUaapqpOUlGPwx5pN8sfJXsvJBX8pXx7+Kn7Tbftj698VvivrWr2fxU0/xn9purm8jEdzY6jbzDylVDlUERjjVFHyBUUD5QK/q1rzLVv2NP2W9e/aCtf2qtY+B+g3HxCs0VbfxTLbE3C7YjErEZ2s6xnaHKlgAuCNox4nEGS1s4hSVOpy8rv8Af19V09Xqj9S8I/EvLfDmvjp4zB+39vTUVtdNX913/wCXc7+/a792Pus+NL3x/wDB/wCKPwug8G/HH9tCbWrLVdJt08T6BqXxNs1trtiiNNBMIShMZcMrIGAZcqcgkHpP2MfCvg74X/8ABRS98Hfs1+H7DS/D+p/DR7n4paV4dsIUsLW9iuIl0eSTyxiC4kikvsINu+NA5U53n6f/AG1/D+ia3+yP8RtF1bSoJ7S88I3sF1A8Y2yRvEVZTjsVJH415R/wT2+A/wAHP2e/in488HfBP4d6d4b0y58P6LdXNrpyNiWY3OqLvZnZmY7VUDJ4A4xXzsMqxGB4kwsKmIlUbUnd3vonpq3o+p4GC4gw8OH8bHlkudOKpK3srzsnOWvxQsnBKD96MW5Lls/qyiiiv0M/Pj4m+PPjHXov+Cjer+H/AIn+I7my0uz+G9pJ8NLC8kWGzuhJLK2rzREkedOhhtA45McXOApyfFP2YP2itD1e18eJqP7bupaTodp8TdXh8G2yeNdPsozpu6Ny0SFcvF9qe7CSHO9ApBIwT+gn7Q37LH7PX7V/hiz8G/tE/CjSvFenade/a7G31JGzbzbChdHRlZcqxBAODxkHAx1/h3wl4X8JeH7Hwp4Y8PWdhpmmWcVpp1haW6pFbQRqEjjRQMKqqAABwAK+MxPDGMr5nVxMMS4KXa9/R6rRdD7qvxLks8lhRjhr1uWEJXUVCKgrc8HrJzqWTndKz5tZcy5fCv2ZviXqvjrWdNl8KfE2TxbpcUbW13qa6ql6jhFOS8kXyGQEjJ4JJGa+hqbHHHEu2KNVHooxTq97KMuq5Zh3TqVXUbbd359N3+Z8fjMTHE1FKMFHS1kFeHf8FJvEnxU8IfsPfELxF8GbzVrXXbbSoc3mg2/m3tpYtdQrfTwLgnzY7M3EikAspQEAkCvcaOvWvQr0nWoTpp25k1dbq6tdehpleMjl2Z0MXKmqipzjJxe0uWSfK99Haz0eh+Ynx9+MvgvwD4j+BmlfB79oGPw3Dfa6tsl1omv2kYl8M/Y5BPI00hYJFugtwsgPzOpUEnivY/h98dfDM2v/ANj+HP2w7nxNeahEYYdKuPHNpds5GHJjjiw+8BTyP4d3avor4G/sZfssfs0+INd8VfAf4G6B4Y1DxK4bWrrTLUq1xh2cKMkiNNzsdibV6cfKMelLa2qMGS2jBHQhBXxGH4Qx9PD+zeMcd9I3t/6Ut+uh9NnGfZNWq04YKg3CC+OaipybbeqjzJct+Ve87pX0vyrI+HN1r174J0+58TK4vXhzN5i4Y8naWHYkYJHrW3RRX29Ck6NCNNyb5Uld7uy3fmz46pJTm5WtdhRRRWpAUUUUAFFFFAHzT/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+tlYRVVBtVQAOgApaKKs5QooooAK8I/aY8ESa/wCOWki0N/N1fQl0wXlujF5UDTEJ3GVM0jDj+Ik5Fe70V5eb5Ys2wTw7nyptO++x1YPFPCVvaJXM7whoUfhbwnpfhmKR3XTtOgtVdyCzCONUBOOM8dq0aKK9NKysczd2FFFFMRzXxj0FPFHwt13w7No6ahHe6dJDLZuGIlRhhhheSducAd8Vwf7MXgqSy8Q6/wDEScTq+pWNlp6rIAEZbeS6k3LxknNywJzj5QOCDXsNFeXWyyNbNaWNc37iat0d763+f5HVDFOGElQt8TTuFFFFeocoUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFQaraS6hplzYQ3LQvPA8aTJ1jLKQGHuM5oA+eP2d/+Crv7EX7Uv7Qmp/sy/Bv4nXd94lsFvmsZLrQrq2sNbWym8m8OnXcqCG9EEh2yeUzbeTyATX0dX4qf8Erf2b/ANpmw/aJ/ZC/Z48Y/s3+OPCl5+yTZfEiP4oeLtb8Py22kX7arczLYrp143yX4uBKsreWTtAO7pX7V0AFFFFABXhv7bP/AAUT/Zg/4J+aV4c1b9pLxFq9knirU/sOkR6P4eub9i++KMvIYUZYYw80K73KgtIoGScV7lX59/8ABx/4t1aX9g2L4KeD/hH4/wDF3iDxX4u0a80228D+Br7WFhh07VrG6uTcPaxuLf8AdBim/HmFWC5wcAH6BqwZQw6EZFLXNfB34m6L8ZvhfofxT8OaLrem2Ou6el1a2PiTRZtOv4Ebos9tOqyQvxyjgEV0tABRRRQBQ8VeJ9D8E+F9S8Z+J78WumaRYTXuo3TIzCGCJDJI+FBJwqk4AJ44FeH/ALIH/BTL9lL9t7xx4k+GHwV17xBbeJvCtnBfar4d8XeEr7Rr37DOcQ3kcN5FG0kD8YkAx8y+oz7V458UweBvBOseNrrSL/UItH0q4vpLDSrRp7q5WKNpDFDEvMkjBdqoOWYgDrX5y/8ABGb4o6x+1X+2X8WP21v2jPg38TfB/wAWfGegJpuj+GvFHwy1PSdK8K+ErK7AtdPS+uoUivb2WSUXEpU9yEUKjUAfpfRRRQAUUUUAfO/7Zv8AwVF/ZM/YJ16y0P8AaL1bxTZpcWcV5f6ro3gnUNRsNHtZZ/Ijnvrq3haK0RpAVXzGBO04FfQOm6lYazp1vq+l3aT2t1Ak1tPGcrJGwDKwPcEEGvzK/wCDi+wuPjn8Lov2b/A/wK/aD174kRWVvf8Awyl+Hui3dx4T1i/mvoM22sbCbSVIfsqOUvVCqspMZO5q/ST4exeJ4PAGhweNbe1i1lNHtl1eKyUCFLoRL5qxgcBA+4DHbFAGxRRRQAUEhQWYgADkmivE/wDgo34Q/aW+IX7EfxF+H/7IUUL/ABC17QG07Q/O1RLEqs8iRXDJcOCsEot2mKSEHa+04OMUAL+xr/wUF/Zf/b5i8b3f7MPjW4121+H/AIsm8O6/evp0kMLXkYyTA7gCaMjkSLwQQR1r2uvzK/4N9fhZ+0l8E/i3+0z4D+K37Ev/AAqDwvJ490+Xw9ar4jN9bxtDpltai0tZPs0IvYViiRzeJ8rOzJt3KSf01oAKKKKACvnP4lf8FQP2dfhn+1VN+xxc+EPiVrvjKzfShqp8JfDbUtVsNMXUSRayXV1bRNFbIwDkvIQAI3JOFOPoyvyW/wCCqHgD4haV+3a/j/8AYU8CftM6X+0Tr3i/whBDreg2t3H4A1bRbYKJzfyxf6JJDHBLdI63J8xZM7BtbJAP1pooooAKKKKAOQ+Pnx6+Ev7MHwd1/wCPnx18aWvh7wn4YsDd6zq13kpDHkKAAoLOzMyoqqCzMwABJFc/+yl+1x8Jv2yPh5P8SPhJZ+JbO1tL82d5YeLvCl5o19BJ5aSKWt7uNJNjRyI6uAVYMCDXzv8A8HBP7O3xi/aY/wCCZfifwT8DtB1jVtb0rxHoeuyaR4dG7ULy0stQhnnW2X+OdY1aRE/iaMAAkgVR/wCCG1v+0HH8Ovixc/ESf4sN8N5/idM3wUHxwe6bxKNG+zReabj7Z/pIiNz5vliX5sBsfLigD7looooA/9k=", "info": {"equation": "22-8=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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", "info": {"equation": "22-8=14", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "e512fc6bd45bfe3d5b19ffc7d01ed83a02e88cdfe7228d0cb123f1ab6003e641"} +{"episode": 43528, "episode_seed": 1124448861, "split": "train", "timestamp": "2025-10-28T03:46:52.328811", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 1124448861, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 1, 7, 4])", "action": "('move', [2, 1, 7, 4])", "reward": 0.0, "image": 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", 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", 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zhF4i8XftUx/B3RR8Q5fB1/aP4r+zn7UYvsbxdc7d3lgR78btny5xxRxBlFbNYUvZ1OTkd/8Ag+q6er1PW8LfEPLuAf7RWKwar/WaXs47aPX3ZX/5dzv79rv3Y6M8A8N+OLfwf8a7PSoPiIdIutV8CWUFjpI1RITqRWedjtjOHleMDjZyods9a+0fA1xrV14P0658QowvXtENxvGGJx1I7EjBI9c14P8AscIjfEjVWZASPAmi4JHT99e19G15vB2AqU8HHFuq2pppR6K0n5/ot2fAZxXjKs6PKrp79XoFeHf8FKvE3xi8G/sG/FPxP8Anvk8WWXhOeTTJdMi33MK5UTSRDrvWEysCPmBUEcgV7jQQGBVgCCOQa+ur03Woypp2umrrdXW/yOTK8ZHLszoYuVNVFTnGTjLaXLJPlfk7Wfkz+bD/AIIvfE/xP4D/AGsbjT4fjNeeC/D+reH7n/hJdSttZgsRKIlLW6tNMCM+cy4A5OT2zX6M/HLQf2SfH3gXxh8XvGXxbsvF/iLRvDe618ZXPii31HVtCaEvJZGyeM/6NILrDRrGAZZWCnfnbX2t+yt8Gv2JPhf/AMJV/wAMf+HfBFr9u1r/AIq7/hEb2G423qbsRTbHfymTc+IvlC7mwoya8B/4KJfs/wDwU+Jfxu1D4gePvhppmraz4W+G1pP4ev7uNi1jJ9p1N9ygEKTuRGG4HBUEV+ZZhw9isuynnliXJJr3Vfl1drrX57bn7fxT4j4HinxE/tSnh6mFioRT5bKrLlV/e1S952je8rQUXyytyn1f+z7qXxD1j4CeCNX+LlrJB4suvCGmzeJ4ZoBE8eotaxtcqyLwhEpcFRwOldfRRX6hCPJBRvex+EYiqq+InVUVHmbdlsru9l5LZBXzV+2Z4t0b4az6l4t0q0N1fpZRLHpyBB9qv5XEVtCuWUFpJHjU5I+9nNfQvirxLp3hHQp9f1Rj5UCj5V+87E4Cj3JNfL3h/wAA6l+0t8e7ybWUk/s3wbaHVZJCwVJ9cuVdLNCDGdywQedI2GGGngOCRx8lxU/rqp5fSipVJPm9FFPX57L5npZSvYuWIm7RWnq3/ket/sR6f4Tsv2X/AApceE5mm+3Wb3esXU0CRzT6pJK7XzTKjMFl+0+crLubaV25IUV6tXz/APsjxa14G+IPivwPKF/sXWbn+17CHeitZ35wl5FsCA7ZCscwOWO8z525XP0BXtZLjKWOyynUpq1lZrs1o1/XQ4sbRnQxMoy1637phX4K/wDBzf4o+Ml/+23onhLxhLfr4OsPCME3g6CSPbavJKx+2SIRw8hkRFYnkBIxwMZ/eqvIv2tPhD+xV8V9O8NRftm6H4Ku7ax1rPhY+Mr+K2X7a4H7qEyOnmM4UZi5DbRlTgYzz7Lp5nlzoRnyu6d3tp0f9b2Pv/CbjHDcDcZU8zr4Z148s48sUnNcy+KF+ulnt7rkfAX7H3xg0L4kfsReDtB/aM/bKvo7jU/C7Weu+Hbv4g2dnG1lukijt5I12vGjWwjUjcGIY5IJNe7fsI+E/Afw0/br1/wb+zn4f07TPCt78Kre78daf4ds4VsINSS7iTSXYx/6ueW0e+O0Y3xxpIQSQzfVf7Rul6bL+zt48tZNPhMbeCtURk8sYK/ZJRj6YrxD/gnH8C/g/wDADxP428JfBf4faf4c0660bQ7u5tdPVsSztJqSmRmcszHaqjk8AcV8xSyjEZfxBhY1MRKpdSet9LLbVvRkVeKMNjMDmdaNN01Xk7Uo29kueV7vVa09ORKO6T5ly2f1RRRRX6AfnB4/qnwb/YkvP2vbL4p6v4e8EN8ak0fNjPNfQjWTZiN4vNW3L7mUR+Ynm7CQoK7sDA9cW1tUYMltGCOhCCv5i/2kfjH+1ToP/BULxT8TvEHi/WtG+JOnfEWeC1v3kW3nskWUwQRpu+RIhblEUH5DGecqST+zngn46eEz4mjsNB/bOuvEN3eBre30m48e2d15zN/cjjAcvxxtOetfCw4ywdCVWMqDT5ntbXzltZ99z9o8RfDTMOFqGWTq49YhVqKau2+S1nyw1f7v3vcel/e0R9uUVi/Dy51u88E6bdeIg/2x7cGYyDDHk4LA9CRgn3rar7WhVVehGolbmSdnurq+p+NVIezm49nY8l/by8QfFzwr+xl8TfEnwHF5/wAJfZeDL6bQW06HzLhJxETuiXu6jcVwCcgYBOBX8/n/AAR5+KPjDwR+2Zbm2+Md74R0jWtHvY/FesQ6zDZmWFYmljV5pwQM3Cw9PmJ9ia/pdrzr4Kfsk/s1/s5ax4h1/wCB3wZ0Tw1eeK7wXXiCfTbbabyQM7DOSQqhpHIRcKNxwBXz+d5FiM1xdKrTrcnJfvdeas1r0eq0P1fgrxGy7hbgnNskr4NVZ4tJRlpZaW9++tofHTsnad9r3PhP41eEf2L/AIxeD/Fvjv4w/FTSfHt3p3hOSKfxDrXii21O80S0VmeM2u04t288qVKqGkkKoSwIWvvH9k/V/idr/wCy/wDDvXPjXBcxeMLzwTpk3iiO9thDMt+1rGZxJGAAj+YWyoAwcivmX/gpH+z/APBT4sfFa48U/En4aaZrWoeF/hpJdaBcXsbH7FN51029VBCsd0aH5gR8o4r7VsSWsoWYkkxLkn6Vw8N4Opg81xlOdRzceRNvrdN3er1W258znecUsXw5hMMuZtSlL3rWppe6oU9W7S0c9I6qKUfdu5a/Or/g5h8T/GLQP2D9M074ey38Xh7VfGFvbeN5bKPKm08t3hSZhysbXCxexYIpPIB/RWvIv26/CXhvx5+y74h8FeMdHi1DStVvNKtdRsZ87J4X1O1V0OCDggkcEGvoc5pOtlVeCdvdf4K/47HJwRnlHhvi7BZnWpKrGlUjJxfVX6X05lvH+8kfj9/wQz+M2teHvhb428G+Mv2nL/wV4ds9YtZ9BsIfFNppyS3Mscn2pwJQWc7Y7bJ+6O3JNfVl/wCGPgz4O+Inw7+LH7NOs2WqfEnXPi7YxR+J9I1GLUdT1+O4uYxrUd1MGYzwLYedJIp+SARRsoj4z9Yf8E9PhT8N/hD8NvFfw9+GXguw0XRNP8at9j06ziwke/TdPdjliSSWZiSSTk15F4A+AfwZ0T9vCP49aT8ONNg8Zaj8UtWtL3xCqMbiSAWV6uzltqjbGgJUAkLyeTn89p5ViKeGwNeVeTU5wSjr7t+2vT0R+h5zx1gc340zPNadGVKE1JqEbWqWioqNXVLlnrKpbnu20lrzL7fooor9UPxMKwviho6+IfhxrugSaYl6l9pM9vLaODiZHjKsvHJypI4rdorOtT9rSlC9rpq/qVCXJNS7Hk37MHg2TSpde8bTCdW1b7LbBZFwpW3847l4z1mYE9Pl7YNes0UVy5bgll2BhhlK/Kt9r63NcTXeJryqNWuFZvjHTxq3hLVNLNilyLnTp4jbSZ2yho2Gw45wc449a0qK7Jx54ON7XMYvlkmeN/su+Bf7I1rWfF7W88Pm6daaZHDIm1AsDzvwCM5BlKnnsB1zXslFFcOV4COWYCGGUublvrtu2/1N8VXeKryqtWv/AMMFeHf8FKvE3xi8G/sG/FPxP8Anvk8WWXhOeTTJdMi33MK5UTSRDrvWEysCPmBUEcgV7jQQGBVgCCOQa669N1qMqadrpq63V1v8jbK8ZHLszoYuVNVFTnGTjLaXLJPlfk7Wfkz+bX/gi78XfGvgH9qS68O2/wAc9S8F+F9a0W4l8UXVtr0NjHO0KMbYvJNlSwlkwMfMQ7di1frb4ITwL8b7nU/Cnhr43SeN9S1azjsb++HiS31G6trYmQIuYhiNFMkrDcuMsxJI4H0z8C/2TP2bf2Zv7b/4UJ8G9E8Lf8JHfC71v+y7bb9qlG7aTknCrvfagwq7jgDJr0GOCCI5ihRSeu1QK+IocHYpUI06uKfKnflSfLvfq/03P0zxK8Rsv424pnmmEwnsouEYq9uZ2XxSsnrryrV+7GPon0UUV94fkpleNfCdn428OT+Hr2ZohLhkmUZMbg5Bwev09DTfA/hCy8D+HIfD9lM0ojJaSZlwZHJyTgdPQD0A69a16K5vqmG+tfWeX37ct/K97GntqnsvZX9297eZyfh/4SaP4f8AHV143gvpHacu0NsyALEzn5znv7emT17dZRRRhsJhsHBwox5U22/V7hVrVK0k5u7SsFfgt/wc3eKfjLfftuaJ4T8XzX6eDrDwjBP4NgePbatJIx+1yoRw8nmIisT8wCRjgYz+9NeffH39lP8AZ0/altNHsf2hPhDo/iyLQL43ejpq0Bb7NKQAxXBGVYKu5TlW2rkHArgz3Laua5e8PTnyu6fk7dH/AFukfofhXxtgeAOL6ebYuh7aCjONlbmjzL4o30v0eq91yPzz/Y0/aBXx/wDsg+DLr9oj9trUv7Z1LQWj13R9U+IFlCJIDJIiRSxH5wGtxGGDHcQxJOSa+7f2VvC0ME+t/EG2d2h1ezsbW2ZSDE8UBuHV0IHzA/aSM5IOBjoc+trY2KKESziAAwAIxgCpQABgDAHYV52X8OVsHjoYmriZVORNJNd1brJ/1Y+azrPaWbYrEVaeHjSVWcp8sdo3k5cq0Wi2XkFFFFfUnzp53f8A7Jn7N2p/tAW/7VGofBzRZviFa2f2W38VPbk3KReW0XrtLeWzJvI3bTtzgAV6AtraowZLaMEdCEFSUVEKdOnflSV3d26vu/M6cRjMXi1BV6kp8kVGPM2+WK2ir7RV3ZLRBRRRVnMFFFFAHhn7Unw7/wCE38Tppi6TIG1zQm0lr62UmQo7SZTJyo2+YzDjuScgV7jBEIYEhByEQLz7CnUV5uDy6OExlfEc13Vadu1lb5nTWxLrUadO1uW/zuFfMX/BSjxLr+gD4TWt7rd1pvgy9+JESeMLuIhICyWk8unxXMhI8uF75LcckBnEak/MAfp2sP4lfDXwH8YvAeq/DD4n+FbTW/D+t2bWuq6Vfx7oriJuqkdQcgEEYIIBBBANa5lhZ47A1KEZcrkrX/rp38jsyTHYfLs0p168OaCumtG7Si43jfTmjfmjfTmSPzs8M/HzRrX9qT4p+E2/a6vfDGgaami+XYWniyysIE1dreVL1FLgtIyxQ2QcEnY5ZeCCB9Dfsw6H4R+IHi/Q/Efgzxv/AMJFaaPrFzqN1rdtqkV79pumgnifzpkypc/aCSBg8DtXv3wf+B3wj+AHw9sPhR8GvAGneHvDumeZ9h0qwhxHEXdpHPzZLFnZmJJJJNdTHHHEu2KNVHooxXzGD4UxFCpRnVxLkqbUuWztddFd6ettj1M4zzA4rE1PqdDlg4qKbspNRio80krpSlbmklJ2b3e7dRRRX2h8sFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXIfHz47/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+8RfszfDHXfEMXi7w5pj6m9j4h8I32mJqWnpcm1a9spLmJFu7cTDZ5seVJIxkc177X5q/sHaV4p+IH/BaT4iftJ/DH4KfGnQPBWsfCiaw+IF38a9HuYfsXiIauJYLDRnuixW0ERndo7ZjbZ2Fe1fpVQAUUUUAR3V1bWNrJe3twkUMMZeWWRgFRQMliT0AHOa8p/Yx/ba/Z7/b7+EM/x0/Zm8UXOs+GYNfvNHGoXOnyW3m3FsyrIUWQAsnzAq44INYn/BS/4f8A7QvxY/Yd+IHwu/Zc0SHUvGHiPTItNt9Pm1xNMNzZTXMUd/El26stvI1m1yqSFW2synaSMV89f8G+Xgr49/Db9n74ueB/jb+yu/wogh+P/ii68PaG2qG5T7PNdZaKAmCLzLaEqscVyoKXCASKFHFAH31RRRQAV41+2J+3T8Ff2IdN8L3vxd0jxfqdz4y1qXSvDmkeCPCF3rd9eXMdtJcuq29ojyELDFI5IHAUntXstfDv/BcjwR8NPE/wZ8K+IvHPgn9oC/1jw9eareeBdY/Z8tbt9R0vW306W3gad7P9/FHIJnQMP3Z+YSEKcEA+zPAPjLTviJ4G0b4gaRp2pWdprmlW9/bWmsadJZ3cMc0ayKk8EoEkMoDANG4DKwIIBBrWryT9glP2hI/2KPhSn7WDXB+JQ8BaX/wm5vCpn/tL7Mnnebt+Xzd2d+ON+6vW6ACiiigDxH42f8FDP2YvgF+0N4Z/Zb8deI9Yn8Z+J4ILmPTtC8NXmoppdrPcfZoLq/lt43SxgknzGskpVSwPOBmvbq/Hn/goj8Av2yPBf/BY3VPjV+z/AKV8YV1z4gD4dp8ONX8Di5/4RnyrDUXi12219o/3KxJZPLKiT/KftDFMv0/YagAooooAK+a/gX/wVU/Zo+P37Tzfsg+HPC3xJ0PxudJvdTt7Lxp8NtS0eG6s7SVYpp4pbqJFkj3uoDLkEsMHmvpSvjz9k3wF45+Kv/BU39on9r/4g+DNX0zS/DOm6P8AC74Zy6xp0tv9qsbaP+0dUuoPMUeZDLe3KIsqZV/spwTigD7DooooA//Z", "info": {"equation": "1+5*9=46", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "1+5*9=46", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "c6c0677c69ce43222716c7e17cb410334cac27b7d6accf45d168981d5c3f4d76"} +{"episode": 43529, "episode_seed": 4039690197, "split": "train", "timestamp": "2025-10-28T03:46:52.382307", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 4039690197, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [7, 6, 3, 4])", "action": "('move', [7, 6, 3, 4])", "reward": 0.0, "image": 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hV4e+HvxQ8F2etaLfeM7c3enXQYJIUtbt1yUKtwyg8HtX5/m3D+JhHF4pYlqLvLlV9dL2lqttlo9LH7Rm3iHgs7yjIMuhhZYeWEhySqxS5nqouVPWN78rlK8o3nKSvpd0/wDglw80f7JdrpWmtI/hnTfFGtWXgSV41CvoUV/Mln5ZX/WQiMbY353xqjZYEMfomvM/2OdG0nw5+zR4T8PaBp0NnYWFlJbWVpboFjghjnkRI1A6KqgAD0FemV9nlkXDLqMW72jHX5I/KM8xkMwznEYmMeVTnJ29W9/Pv5n5G/8AB1R4j+LFr4P+E/hbT5b1PBF5f6jPqoij/wBHl1ONYhbCRh/EInuCqnrlyM44p/8ABPL4o+G/Hn/BP/wt4G/aH/ayurS1n0u50q68J3nju0sYH0lJXhhtniBWRYmgUIQWDMh5PNfoB/wUN+Enw2+N/wANPCvw8+LPg+113RLrxvFJcadeFwjsmn3zIcoynhgDwaZ4f8LeG4v+CbV54Yh0K1TTk+F2oWiWSQhY1gFpMgjAHRQny4Havj8xyuvjM+r8leUPcUtOq25d1ppf5n6bPj7Az8M8uyCOFSq0K8puqrX1cmnHrze/Z6r4I2f8vn//AATj8OeFvAX7QPxb8CfBjRLLTvBEWn6FeXdho1nFHYW2vyJcpcrGYxgSNaRae8kY+7lGwN/P2DXzp/wTv+EHww+Bnh3xl8PfhD4JsvD+iw6/bzx6fYK2zzZLKEu5LEszHA5JPAA6ACvouvoeGYOGR0Fe+l/vbf4H5/xXjqeYZ7VrU7tWjG8vilywjHmlZu0pWu1eVr25pbv46/4LzeJPix4Y/wCCZPjy7+Est7FJcPZ2viCbT48yJpUs6pc5I5VGUhHI/gds8EmvzK/4IleNviFqvgH4r+BtY8S3c3hnRfB15caJp8s4MVlczgfaXjHVN4igJ/hymeu7P72eKPDHh7xr4a1Dwd4t0e31HStWspbPUrC7jDxXMEqFJI3U9VZWII9DXyd+0D8CvhD+zj4S074UfA7wDYeG/D1l4C8SS22l6chCK8ktq7uSxLMxY9SSeg6ACvC4tyurUTxyqWjGKTj395fhrf1S+X3fDfHeBwfh3iOFZYVOrWrKoqumiSi358y5OVW05Zy1VrS9U/ZC8d6l470kanZeOn8S6OdLiWLWP7QW6SaVMJkSp8jMdrbsdxyM5r2uq+kokel26xoFHkJwBjsKsV9VleCnl+DVGdRzd27vfV37v8z8qxVeOIrOajyrsjmfjTfeN9L+DnizU/hnbPN4kt/DN/L4fhjhEjPfLbuYFCtwxMgQYPB6V/Ov/wAEkPi38Q/Dv7c91qniP41ap4Uj8QadqR8b65JrMVlNO2GmAlmuAcO10IyR94nPbNf0nV5T8CPhD+xz4G+JXj/xD+zz4e8GweKtX1hZPiM/h+7imuhel5XC3SK7GBy7TNsIXJLHGc15meZNWzTEUZU63s+W/rr1Wq10112P0zgfjrB8McJ5zllXB+2eLhGKlZWhZte+3fRc3NC320u918NfGex+Dd1pNz8fPhT8Q7fxd8WrXxFo0XhPxbFrlvqusf2n9oWK0sImU4WKRHnR4FAV45J3YHBZf07r45+PPwO+EOvft3ad8a9Z+H2nXPivQtY8K2uj65KjGa0he8G5UGdoz5j84z8xwa+xq5uGMLPCVMVCdRzana76tLfrq76+h8xxHmtPH5dgqMXJuEZNuXTm5UqcdX7kFC8fh1lK0Vuyv5xf25Pi7+0r4Y/4LVeKfGmqeM9Y0HxRpPxJFh4e1HzVtpLPSDIIbXyy3yJE1nIpyflYSszfeav6Oq+N/jL8EfhLrf7fFt8cNY8Aafc+LdK8R+HLLTddmRmmt7dvL3IoztGfMcZxnDEZquK8PKvhaKjNx/eRWnnpf1W6PqPCrjbBcFY7HVcThVXVbDzppO2jdnZ3+xLaa3tbR2sYnhbxj8PfiD4pGj6N+0pL461R7WaHT7C48YW2oywo+BI0UUIDZIC5ODwBX2h4L0FPCvg7SfC8buy6bpkFqrSEFiI41TJxxnjtWgltbxtujt0U+qoBT67MnyWpldWpUqVnUlO2r8r+bvufnOMxscVCMYwUVG+3n8kFeV/tR/Cj9j/4o2XheL9rnRPB93BY+I4n8J/8JbexQKdSYHZHCZHXzXcD/VfMH2jKnAx6pX4bf8HRnij4uj9qzwD4Z1O6v4vBtr4M+2eHFClYG1FrmVbt1YfekVEtAe6grjG7nfPMfDLsulWlDnV0rPbV9f63sfbeFfCmI4z4zo5dRxTw0nGcvaRvzLli9I2au3s9V7vM+lj9xfslqG3C2jznrsFSV+b37Hf7S19rnwT+H3iX4nftr6hd+LtQ8P2jato2o+O7I+bdSx7fLeAAPuO4fLndux3r7/8AhPd65e+AdPufELSNcsjfPNneybjtLZ5ztx9a5cq4iw2b4l0aVOSsr3du6VtG+58pm+S1snr1KVScZck3C8XdOzauvJ20Oiooor6E8U8e/wCCgniD4reFP2I/il4k+B73ieK7LwVfS6NJp0e+4jkERy8Q671Tcy45BAIycV+Tv/BrNrfxPT9p34kaHpiXT+EbnwXFca9IIA0S6gl2gs9znlXMcl7gfxAMT92v2+v2K2MzKeRExH5Gvkf/AIJgfBL4S/BO/wBZtPhP4BsNBj1vwdoeoasLFWzdXTNdAyOWJJPt0GTgDJr5jNKEpcQ4KfM18enor/jez8j9T4Y41weT+HGcZFUwynPEum4z00s18XX3bc0LbSbenX69rw//AIKV+I/ix4S/YJ+K3iT4Hvep4ns/B10+nS6bHuuIlwBNJGOodYTIwI5BXI5Ar3CqPiYsPDeoFeosZcf98Gvoq9N1aEoJ2umr9rrc/O8rxkcuzOhi5QU1TnGTi9pcsk+V+TtZ+R/Pb/wQw+Kut+Cfin428Naj8fL3wP4YvfD8V1eSW3iC205bq+jnVIAXmBLERyXPyr7k9BX39pfhj4LaX8e/hd8XfgRrlj4g+IesfF22iuvFVlqEGqalq1rNH5erpcTgktDHp4LEDCwiOHaF3fN7X/wTF+Bfwe+CQ1/RfhN8O9N0K11Pwt4fv9Qiso2P2i5f7aGkYuSScADGcDsBVHwh8EPhFpX/AAUVuPjpp3w+06LxhqHja8sLzxAqN58lsuguBHydqjCIMgAnaMmvy7BZZXWEwWIdeXLKpFKPSPvPVa+Xbqfs/FviBl/EHGuPzSjRlShKlblVr1LQjG1WzS5X9r4tEo215l9i0UUV+rH4Sfm/8Afib47uX+CzJ4tv7n4j6t8Xp08aabNHE12Z996NbhuITzDFbxSPjAHlqttj76bvhv8A4OIPF3x0f/gp+LDUZtUSy0XRdJf4cRrAdoRo0keSAAfvGN6JlLYJLRheiqK/T74c/BH4TaJ/wUHuvjlpfgGwg8X6v401Wy1LxAqsbie3XS5QsZySFGI4/ugZ2jOaT/gop8E/hN8T/i7pfjH4g+ArDV9T8KeDXu/Dl5eKzNYTm6J8xACFJyiH5gcFQRX5jUwc48P4iPtH7tf77NR/G9/VI/feEfEHI+GON4ZnHBc8J0KicbRTjOo+e0enJG3s09G4Sk+VX5D6o+FV54v1D4X+G9Q+INu0Ovz6BZya5E8YQpeNAhmUqOFIkLDA4Fb9FFfpsVyxSPwarNVasppJXbdlsr9F5I/nx/4L+/En9oDQP+Cq91qt1rmracPC1ho9x8NLmPMX2aERRzefbkdT9t+0Zfruj2nhAB+inwz+KXg/xnF4ag8S/tWy+K9da1glGg3/AI3s7sfb2t8SFIIsEuu6UADOATxX1/8AEj9mL4AfGD4j+Fvi78TfhRpGteJfBU5m8LaxewFptPkLK+5CDg4ZVYbgdrDIwea7dbW1Rt6W0YI6EIK+LxHCmLxGJrz+tOMajbsru6fR6pabLfQ/VuKPEfLs+4ayfLaWCUJ4Km4Slp7z91XjZXs+XnlfXnk+13zfwW8JHwP8LdG8MsZd0FsXYT43hpHaQg4AxguRj2rqKKK+woUlQoxpr7KS+5WPyecnObl3Plf9tjxRrOl/tTfCzRvEOuT2PhaXw/r1zZLI6x2lzrifZVjSRyRmRbOS+ZE7jzWAOwlfm/8AZ6+O/gbxV8MNRtPGn7aF0ukyeKNctNN0W88b2FtbzaOt/PHbxmEAHymgAA5BZCDnnNfoN8df2fPgv+014Bk+F3x6+Hen+J9AkuorltN1JGKCaMkpIpUhlYZIyCOGI6Eg9Jo3hrw94d0e08P6DolrZ2NhbR21laW8CpHBCihUjVQMKqqAAB0Ar5bH8N4vGZlUxMMS4KSSsr30VrbrTr82fX/2/lUcgo4VYe9aLs21HlsnOSaercpc6Uk0rKCacua0PPv2YPC40rQNX8UBpP8AieahHMu7GwrHBHEGTjkHb159q9PoAAGAKK+iy/BrAYKnh078qtfufKYis8RXlUta4V41+1V4Ffxtdabpw0t2N9p13pi3kCkyItxsDoOoH3FYZH8J7A17LRWeaYBZngpYdy5U7a+jT/QrC4h4WuqiV7X/ACGW0It7eO3UkhECgn2GKfRRXoHOcz8ab7xvpfwc8Wan8M7Z5vElv4Zv5fD8McIkZ75bdzAoVuGJkCDB4PSv52/+CRvxn+J3hn9ty+l8QfHXWfCVn4kstQl8eaq+ux2T3UqrJKhnkuODJ9pYf7eXYdC1f0lVwXwt/Zc/Z6+CfjLxT8QvhT8JNG0LWvG18LzxTqNjbYk1GffI+98kgfNLI2FwCXJxmvnc7yXEZrXozpVnT5L7Xvr1Vmtem+x+ocE8fZfwrwrm+VV8IqssZCMYy0tFq6fNfWyvzRttNLvdfPnwEj8G/FnxraN4W+LsnjSe312xvdU1Zdfg1GeMW0qzRRyPF8qJ+7IAIBO5sHJ4+wKbHDDDnyolXPXauKdXVk2VSyqlOMqrqOTu2/RLu/zPzvGYtYucWo8qStYK/MT9o74xa94T8E/GPxD4i+K17oXj61+NhtNNkmuYILqzC6jbppMcKS/KsL6ckMocjBRppCeGI/TuuD1b9l/9n3Xfjxp/7T2sfCbR7jx9pemmw0/xRJb5uYbciRSgOcZ2yyLuI3BXIzjis89ymtm1GnCnU5HGSd/66roe5wxnGWZRVqSxtL2iaTSSi7yi7qEubanPadrtaO0rWfzd8MPjTpOo+J30LwH+1heeMNQuQDb6W/jK21CTCNnckcIDemeox1r7JtGuHtYmukCymNTIqngNjkD8aVLa3jbdHbop9VQCn08oymvlkpyq15VXK2/S1+7fc8XGYuniVFRpqNu3/DIK4T44/sx/AH9pa30W0+PPwp0jxTH4d1RdR0VNVgLi1uQMb1wRkEYypyrYGQcCu7or2JwhUi4zSa7PUwwuKxWCrqvh6jhNbSi3Frpo1ZrTQj+yWobcLaPOeuwVJRRVmAUUUUARXqyPZypDGruYmCIx4Y44B9q8g/Za8AJ4c1PV9cjsJrRF0+00qG1ZSEjS3aZgoyM5Hm7Tz2HevZKK8/EYBYjH0cS5W9nzad+ZW/A6KeIdPDzpW+K2vo7hXjn/AAUG1zx74b/Yu+Imt/DW81G21WDw85N3o8PmXdtal0F1NCP+eiWxmdSMkFQRyBXsdJJHHLG0UqBlYEMrDIIPY1116brUJU07XTV+11ua5dioYDMKOJlBTVOcZOL2kotOz30drPRn5r618b/Bnh39qDSfCPhH9qN/Cvh2T4Wi5v10jxVZ2tvKRdxf2Y3mybi5aCW8ZVBwU2v0IJ+hf2VrDwp4/wDHWl+LfCPxAPiiHSdRub2912LVor43Fy1rJbkTTR5UsEmX5RggKvYHPs/wI/Ze/Z8/Zj8PX/hT4BfCXR/C2nanqT6hf2ul2+1ZrhlVS53En7qqAo+VQOAK7uOKOIbYo1UeijFfH4DhTE4adGVXEtqElLlSfLdO+l3+Nu572dZ3luIquGBpNQ5eVSkkpy7yko3V7uyXM7JJXdh1FFFfanyh+VVx8b9W0D4Q/C/WPFHx0v8Aw5491X4tSQ+M7uXUra0vYLwz3Y1mCbzci3jhjd1GANii3A++u73nwBN4E+NWtXXhbQPj1N451LULZLW4mbxRb6jc2dsXwdoiGI0yxJLDGe9fT/h79l39nvwp8cNa/aT8O/CTRrTx14isltNa8TRW/wDpN3CBGNrHOBnyYskAFti5JxXdR28ER3RQop9VUCvhafB+Ks41MU+VyvZJ2et7vXd+j17n2+ecS5Xja6qYLD8t+ZttRTUpttxjy39yHwx2bV3aN+VPooor7o+ICiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArx/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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", 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", "info": {"equation": "38+62=100", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "38+62=100", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "36f63e54e3348ac7ef1ecb839eb8358f0b696088b1039b4e67525f14edf78819"} +{"episode": 43530, "episode_seed": 2260140802, "split": "train", "timestamp": "2025-10-28T03:46:52.430398", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 2260140802, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 2, 7])", "action": "('move', [0, 1, 2, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "63+23=86", "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": "63+23=86", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "58b514ffc190d9f1e24b737e137ec72a190ffa2b5ac39542bb5825858b627f23"} +{"episode": 43531, "episode_seed": 2694528395, "split": "train", "timestamp": "2025-10-28T03:46:52.474161", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 2694528395, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 0, 1, 7])", "action": "('move', [3, 0, 1, 7])", "reward": 0.0, "image": 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A2t3WmWpVrjDs4UbiRGm52OxNq9OPlGPSVtbVGDJbRgjoQgr4jD8IY+nh/Z/XHHfSN7f+lL56H6n4o+JmV8d8SRzDC4L2cYwjC8uXnk1dtysmtL8sdXok9L2WR8ObrXr3wTp9z4mVxevDmbzFwx5O0sOxIwSPWtuiivt6FJ0aEabk3ypK73dlu/Nn4/UkpzcrWuwr+dX/AIOE/Fnxw1z/AIKP+I/D/wAVpdRXRNIsLRPAVtdRbLcaa8KM8kIHDhrjzwz8ktHtJ+QAf0VV8fft9/s6/A/9oD9obw0nxq+GWm+JE0XwbcT6UmpK5W3ka8j3EBWAbIVchsjjpXzXGNF1MklLmtytP11tZ/ff5H6p4Nca4LgXjD6/isP7WMqcoaW5ot2fNG+l/d5Xqvdk/R/MH/BPL9oPUtd/Yw8ESfGj9t3VtF1pNNltRpn/AAntjZG2soppIrRRFjcmLdIsZ+Y8E8muu0HwL8GPg18aPgfrv7Gljplr4q1rx/aafLc+FZYrufXvDksrtrL3sgZmuoEjV5mncsUniiwwbap+8/2XLKyH7Mvw6C2cQA8CaRgCIAD/AEKKvj39ir9nL4F/DL48/D74reAfhfpel+JPEl7qba5rNujme732N7I4JZiFDOAxChQSBxwMfPYnJ8Tg8bgnUxEp80la9/d221ZnheLcLWx+ZY5UnSjUc5KjC3s5OfPaM9Y+5FSdvdk2rxXLfmX6A0UUV+ln5YFFFFAH8/3/AAcoeLfjjqn7fp8JfECXUU8H6V4es5PAFvNFstWilgjN3NFjh3NysiOx+bESKeFWv1A/4ISa98YvEH/BM7wFP8ZILtZbZbi28OPe2wieTR4322jAAAsmwYRiMsiqeRgnT/4KHfs/fBb9ob4sfDnw78bfhzp/iSx0/Q9dubK21DftimNxpSlxsZT90kYORz0r2D9jC1tbD9lPwDYWNtHDBB4at44IYUCpGirhVVRwAAAABwAK+MyzDSpcWYtubeif/gVnb5bI/a+LPETL898K8q4fpYNQqYd+9PS3uqUbxtrepfmqXt73817r06iiivsz8UPEvjp8Df2BvHX7QXg7xt+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/DX3r438C/sTfGCPxB4/+L/xE0Dx/eWuhCLU/EniPxVbajdaPYI+5PJcMBZgSncGQIWdsFjnFe/f8E7/AIJfCT4GeJvH3gL4RfD/AE7QNHWDSLj7DYxnaZX+2bnYsSzMQqjJJ4UDoAK4b/goL+zX8BfjV+0JfeIfix8KtJ1688PfDOzm0aa/jYi2c3WpuSFDBXBaNDhgw+Xpyc/mlbKsRDhuOMdeTjp7mtl71u/z2P0niTjvAcSeJFbMqNOeFhKy5qdvatRitZWlFXk0rvmdtNJW192/4J3+Jfi54w/Yn+HPiX46TalL4mu/D6ve3Gs24ivLiHzHFtNOvGJXtxC7ZAJZiSASRXs9c58HmLfCTwszHJPhyxJJ/wCvdK6Ov1fDwdLDwg3eySu93Zbs/GczxccfmVbExgoKpOUlGO0eZt8q8ley8gr+Ur49/FT9ptv2x9e+K3xX1rV7P4qaf4z+03VzeRiO5sdRt5h5SqhyqCIxxqij5AqKB8oFf1a15lq37Gn7LevftBWv7VWsfA/Qbj4hWaKtv4pltibhdsRiViM7WdYztDlSwAXBG0Y8TiDJa2cQpKnU5eV3+/r6rp6vVH6n4R+JeW+HNfHTxmD9v7emora6av7rv/y7nf37Xfux91nxpe+P/g/8UfhdB4N+OP7aE2tWWq6Tbp4n0DUvibZrbXbFEaaCYQlCYy4ZWQMAy5U5BIPSfsY+FfB3wv8A+Cil74O/Zr8P2Gl+H9T+Gj3PxS0rw7YQpYWt7FcRLo8knljEFxJFJfYQbd8aBypzvP0/+2v4f0TW/wBkf4jaLq2lQT2l54RvYLqB4xtkjeIqynHYqSPxryj/AIJ7fAf4Ofs9/FPx54O+Cfw707w3plz4f0W6ubXTkbEsxudUXezOzMx2qoGTwBxivnYZViMDxJhYVMRKo2pO7vfRPTVvR9TwMFxBh4cP42PLJc6cVSVvZXnZOctfihZOCUH70YtyXLZ/VlFFFfoZ+fH4S/8ABzz4u+ON1+134a8E+Kp9Rj8B2vhaO68JW7R7bSa6ZmW8kUjiSUERK2eVUrwA2W9L/wCCSn7RXinVP2PrCx+NP7Z+s+H20nVptO8M6XN44s7Mw6VFFCsSrHKC+wP5yqW/hUAfKFr9UP2hv2WP2ev2r/DFn4N/aJ+FGleK9N069+12NvqSNm3m2MhdGQqy5ViCAcHjIOBjr/D3hLwv4S0Cx8K+GPD9nYabplnFaafY2tuqRW0EahI40UDCqqgAAdAK+MxPDGNr5nVxMMS4KXa9/R6rRdD9rzXxUyrMPDHAcMRwCVWhK7m+Xl0v70dG+ed7zbtrfe+ny1+z94Y8HfE3WtBuPBHjEa9Yad4j/tW61qy1OO8+0XSSPNI00yZUs8jktjBy3GK+tabHHHEu2KNVHooxTq9vJcp/sjDypuo5uUnJtq29vN9u5+QY3F/XKily2SVrBRRRXsHGFFFFABRRRQAV8H6z8Qrm0/bY+Nv/AAvPxo2n3Ojf2b/wjFnrlzHa2tt4VWzST7Zb7iA0bXr3gmm52tFGrFcKK+8K8z/aA/Y3/Zd/aov9F1P9ob4JaH4suPDzu2jzarblmt95UuuVI3ISiko2VOOleJn+VVc3wPsKc+V3T8n5P8/VH0nDWZ5bl2Iqxx0ZOnUhy80VGU4NSjNOKk4p35eV+9HSTd3blfwN+xx+0Pp2t/s8aNdeNP26tb0547u/t9ItLrxvp9jKmlRXk0Wn7oCgMZNokBwQDzk8mvqn9l3wX4V8VeKfC3izwRqqXui+HIrifT77T7tJ7effBLbYMq5D/wCtc/Kc7lPoRX0tHp9hFGsUVjCqqoCqsQAAHQCpURI12xoFA6ADFeXhuFq9LF0q1bFSmoO6TX5Xk7fcTmeeYfG4ivUoYeNKNRyaS2im20tEr2WnQWiiivrz50KKKKAPIf2mNClutf0HxFHoglktLe4tre7RGZ1854WeLjjDGGIjuSvFdt8E/BKfDj4SeHvA0ckzDTNKihzcEb+BznAAzz6V1FFeVh8rjh80rY3nbdRJW7WXf5HVUxTqYWFG3w319Qooor1TlPMvij+xp+y18avivoXxy+K3wP0HXfFvhryv7E1y/ti01t5UhljHBAcJISyhwwBJxjNekmztCcm1j/74FSUVEaVOEnKMUm99N/XudVfHY3FUqdKtVlKNNWinJtRW9opu0VfWysIqqg2qoAHQAUtFFWcoV8p/8FP/ABV4j8O3HwhstV1270r4fX3xCA8d38LLHb747eSXTYrqUkeVbvepCCSQrMEUnkBvqysb4h/D3wR8WPA+q/DX4k+GLPWtB1uye01XS7+IPFcwuMMrD9QRgggEEEA1xZlhJ47A1KEZcrkrX/rp0fkevkWPw+WZrTxFeHPBcya0vaUXHmjfTmjfmjfTmSPzj17466bof7deq+C7D9qO78KaLD8NoZPE9tY+JbOxhj1ZL4raozyAsZjbvclo8/KojYgblz6r4I1PwF8Ub7VdL8LfGs+OtY1DTls7q5PiSDUruG2/eKiDyfuIGmkYZX7znk9K+qvgX+zj8DP2Z/Aa/DL4D/DHS/DOhLeSXR0/ToTteeTG+RmYlnYhVGWJOFUdAAOzjggiOYoUUnqVUCvkIcG4qWGVGri3y9YpNx+V5foexmnEGW1cWngqFoRioqUrKcrbykldJt9FJ2VlzO13R8IaFH4W8J6X4Zikd107ToLVXcgswjjVATjjPHatGiivu0rKx8i3dhRRRTEc18Y9BTxR8Ldd8OzaOmoR3unSQy2bhiJUYYYYXknbnAHfFcH+zF4KksvEOv8AxEnE6vqVjZaeqyABGW3kupNy8ZJzcsCc4+UDgg17DRXl1ssjWzWljXN+4mrdHe+t/n+R1QxThhJULfE07hRRRXqHKFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRUGq2kuoaZc2ENy0LzwPGkydYyykBh7jOaAPnj9nf/gq7+xF+1L+0Jqf7Mvwb+J13feJbBb5rGS60K6trDW1spvJvDp13KghvRBIdsnlM23k8gE19HV+Kn/BK39m/wDaZsP2if2Qv2ePGP7N/jjwpefsk2XxIj+KHi7W/D8ttpF+2q3My2K6deN8l+LgSrK3lk7QDu6V+1dABRRRQAV4b+2z/wAFE/2YP+CfmleHNW/aS8RavZJ4q1P7DpEej+Hrm/YvvijLyGFGWGMPNCu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", "info": {"equation": "3+61=64", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "3+61=64", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "e296e1d7439197dd7557a93a6b34a4e59ee52cd5937d09d3a883586fc9a9c287"} +{"episode": 43532, "episode_seed": 3418550878, "split": "train", "timestamp": "2025-10-28T03:46:52.516080", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 3418550878, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 6, 1, 8])", "action": "('move', [3, 6, 1, 8])", "reward": 0.0, "image": 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", 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M9AMmvn/9ljwQnxh+OOo/GvWbdLjQ/Aklxo/hUyojrPrD/Lf3qsHJzCmLRSVUhnuxzkYT9qL4n+K/HV3aeHPhTE76vrV7HonhPzVwsN1OGL3knyPiOGNJJ2BBysGMZbFfQfwn+GXhf4M/DbRPhZ4MgdNN0LT47S2aXb5ku0fNLIVADSO2XdsDczMe9fI4NrPM7li96NH3YdnLq/68j2KyeBwKpfbnq/Jdv68zoaKKK+uPHCiiigDyb9u7xB8ZPCn7G/xJ8Sfs+RXjeNLLwjeS+Hv7OtxLcLOEPzRIc7nC7iowTkDAJwK/nw/4I7+KvjbZ/wDBTX4Yar8Knv73VNS8UpD4kkSH7Q8ulSv/AMTGSUvn5RAZHLk5BUEHOM/00V+f/wCxX+zp8DPhn8efh98VvAXww0zS/EniS91Ntc1m3RzPdl7G9kfJZiFDPhiFABIHHAx8ZxJhpVM2wU+dq8remqd159D9s8N/ETL+FODs4yuvg1VniIe7LS2sXHlnfVxjfmil1bWl7r9AKKKK+zPxM+Mv+C9/i745+Df+Cbfiu/8AgZLqMMlzf2tp4qudLi3Sw6NIXW5JI+ZEJ8tHZeiO2cKWI/H7/gi58VPF3w//AGqLjQrP4z3ngrwzq+hTt4nvrXWbewWUQoxtlaWYEZ85wAq8nce2cf0J/tSwQ3X7MfxGtbiIPHJ4D1dXRhkMDZSgg187fsA/s6fAz9n345avoXwW+GGl+HbXUvBaXF/FYoxNxKLsKrMzszHA4AzgZOByc/CcQYCriuIcNGFVwc00mvs8qb01W5+4cI+I+XZF4W5lw/VwSqVK0rqelnzcqvO+vNTtzQtfW21rvzHXvDH7JHx78QDUviz8VdC+KN5puj3UdtF4w8XWuqJplmwBupIogwSAEBN8+0MAifOu0V73/wAEl77xJdfsdWNjfy3k3h3TfEmrWPw7ur63WN5/DcN06ac4xjfH5IARz96NUOSCGON/wUK/Z3+CH7QPxZ+HXh340fDPTfEVjYaHrtzZ218HCxSm40pS42MpPykjByOelexfsYWlrYfsp+AbCxto4IIPDVvFBBCgVI0VcKqqOFAAAAHAAp5DgamD4jxFOdVzcYq7fW9nrq9tlqfFZjndGvwhSwi5pSlO/LK3JSUefSnq3efNeXuwSta0r3Xp1FFFfdHwh4l8dPgb+wN46/aC8HeNv2g/DfgG4+JNq0K+C38QahDFqM5jmLxLDC0im42yklRtfDE45Ne0mztCcm1j/wC+BX8yH/BV/wCIH7Qupf8ABST4ka58YtV1i017QvF88Hhl5t0EllpcM7NpzW+3GxPJMcqsv3mcvncxNfqb+zd+0lP4g+BHgrxT8Yf28dTt/FV54es7nxBaT/ELT4dl0yBnVogvyc9V7dOK+Ghxhg8Piq0J0GrSteKV3bS8ttfvP3Lj3wtzHhvhjKcdUzFV1WhpBt2p3Snalq7w11aUdbO3vafpKqqg2qoAHQAUteVfs2+L/EfjIXusy602p6TdQJcWt+J/NikZ/mBicZVlZTn5TjG3HXn1Wvqssx8MzwccRGLinfR+TsfiuKw8sLWdNu9gr84/+DmTxd8cvDf7E2i6Z8Np9Rg8L6t4oW28ez2Efym32breKZxykTzAZ7MwRSeQD+jlc78W/C/wx8a/DDX/AAt8adO0q78JXmkzp4jh1tlW0+x7CZWlZyAiqoLFyRt27sjGaeZYWWNwFShGXK5K1/66d/I+g4Jz2jwxxZg80q0fbRozUnDv00/vK94/3kj8EP8Aghr8bvHHhPxd4v8Ah3rn7R+qeCvAw0r+0BbxeJrfT4JNVaWGNWUzg5cwrJkJ1CLu6LX3Z49+H37D/wAarXxH42+NHj7w78Q54vD4g1fxB4n8UW2p3GlacrEqInDBbRRISwZApZ2wSc4r7Z/ZT+GP7KPw1+EMGgfsf6R4Ui8GS309xC/hO8ju7Sa5LBZXMyO/mPlQpJYkBAvAUAfN3/BQX9mv4C/Gr9oS+8Q/Fj4VaTr154e+GdnNo01/GxFs5utTckKGCuC0aHDBh8vTk5/O81yDFZdk3tZ4lyire6r8ur6a+fY/SOIOPcFxN4i1szp0amDjLRuCXtvdSXvLmguaTSv7z5dNJNa+5f8ABObXPip4k/Yf+Gus/Ghb7/hIZvDifaH1S0EFzLbh3W1kljAG2R7YQu2QDljkA5Fe11znweYt8JPCzMck+HLEkn/r3Sujr9Mw8HSw8IN3skrvd2W7PxzM8XHH5lWxMYKCqTlJRjtHmbfKvJXsvIK/Ka2+K/iaP9gvxd4u8c/EHVIPi7c6nqB1mKcRHVofGYvG+yWEdqc/MJYLaOGFVObeNCoK/Mf1Zr4D+Pn7OXwL139rXxj+0DrXwu0u58aab8S/DsVh4inRmngVYdFVdo3bMhXYBtuRng5Ar5PjLDyq4ehJTatNLT+919VbT1Z9VwbmWV4P21LG0nJXhUTSi23T5v3b5rWhU5/eau1yxfJLYof8F9vGv7S+g/8ABLXTbnwimo2s2r6jplp8UX063GYbCW1l89JCufLia78iNtpwQ+wnaxB+PP8Ag1z1/wCMVt+1R448N+HYLt/A914QWfxQ62waCO+jmAsd0hHyOVe7CqD8wD8Hbkfr7+2zpWna7+yN8RtD1izS4tL3whe293byfdlieIqyn2IJH415L/wT2+BHwd/Z8+Kfjzwb8E/h3p3hvTLnw/ot1cWmnK2JZjc6ou9mdmZjtUAZPAHGKnHYWX+tuFlzvWL/APJU/wA+vzPuMl8R8vwPhJmPDksFF1K07qaty2k4u8lvzQt7lvLbl1+q6KKK+0PxA/CX/g558XfHG6/a78NeCfFU+ox+A7XwtHdeErdo9tpNdMzLeSKRxJKCIlbPKqV4AbLel/8ABJT9orxTqn7H1hY/Gn9s/WfD7aTq02neGdLm8cWdmYdKiihWJVjlBfYH85VLfwqAPlC1+qH7Q37LH7PX7V/hiz8G/tE/CjSvFem6de/a7G31JGzbzbGQujIVZcqxBAODxkHAx1/h7wl4X8JaBY+FfDHh+zsNN0yzitNPsbW3VIraCNQkcaKBhVVQAAOgFfGYnhjG18zq4mGJcFLte/o9Vouh+15r4qZVmHhjgOGI4BKrQldzfLy6X96OjfPO95t21vvfT5a/Z+8MeDvibrWg3HgjxiNesNO8R/2rda1ZanHefaLpJHmkaaZMqWeRyWxg5bjFfWtNjjjiXbFGqj0UYp1e3kuU/wBkYeVN1HNyk5NtW3t5vt3PyDG4v65UUuWyStYKZcQQ3UD21wgaORCrqe4IwRT6K9dpNWZx7HH/AA9+D2k/D/WLnWLfUpbl5UMcAkjC+VGSDjjqeOvHHauwoornwmDw2Bo+yoR5Y729TWtWq1589R3YUUUV0mQUUUUAI5cITGAWx8oPrXzz8FfhQkfxY0i5j0ibTofCUt1NHawoRFG0kEsAjO4E4xMzDnJwDyM19D0YHpXlY/K447FUKzm17J3t32+7Y6sPinQpVIJX5lb0CiiivVOU+af+CrHiHxj4e/Zjsf7E1TUNP8O3/jnR7L4jajpigPa+HZZ9t2zv1ihY+VHLIPuxSPkhdzD5k+M/x00jw3+1/wDDjw74W/aSfwta33hjV5fF50jxDZ2sX2Hy4pLGSSaTO0tOw8sA/OjMQCoJH6Uaxo+k+IdIutA17TIL2xvrZ7e9s7qISRTxOpV43VgQyspIIPBBIrgv2ev2R/2bP2UdB1Dw1+zx8HtH8K2Wq3a3OpR6fExa5lVdil3kZmIUZwucDcxABY5+Vzfh/E5lmUMTTruCSt1ut/h1W99dV8z7bKOIcnwWSSw+Iw/PVj7RR0jyS9pFR5pt+8pU/ihZSTfL8HK3L5l8CeOvh74y8Xw/2P8AtEHx3rcVpJHY2914tttRnt4WeNpRFHDggM0cO44P3E6d/rj4J+CU+HHwk8PeBo5JmGmaVFDm4I38DnOABnn0rpUtreJt0cCKfVVAp9dOT5FPLMTUr1KzqSkkrtdvO7ufNYzHxxVOMIwUUu3/AAyCiiivoTzjzL4o/safstfGr4r6F8cvit8D9B13xb4a8r+xNcv7YtNbeVIZYxwQHCSEsocMAScYzXpJs7QnJtY/++BUlFRGlThJyjFJvfTf17nVXx2NxVKnSrVZSjTVopybUVvaKbtFX1srCKqoNqqAB0AFLRRVnKFfnH/wcyeLvjl4b/Ym0XTPhtPqMHhfVvFC23j2ewj+U2+zdbxTOOUieYDPZmCKTyAf0crG+IXw98E/FjwPqvw1+JHhi01rQdbsntNV0u/i3xXMLjDKw/UEYIIBBBANcWZYSWOwNShGXK5K1/66dH5H0/Bef0OFuKsHm1aiqsKM1JwfVeV9OZfFF9JJM/Af/ghr8bvHHhPxd4v+HeuftH6p4K8DDSv7QFvF4mt9Pgk1VpYY1ZTODlzCsmQnUIu7otfpj4I1PwF8Ub7VdL8LfGs+OtY1DTls7q5PiSDUruG2/eKiDyfuIGmkYZX7znk9K+qvgX+zj8Df2Z/Aa/DH4EfDLS/DOhLdyXR07ToTteeTG+RmYlnYhVGSScKo6AAdnHBBEcxQopPUqoFfIQ4NxUsMqNXFvl6xSbj8ry/T5H1PH/H+A4t4txGbYXCKlGdkr25nZJc0rK3M7a2b7XdrlHwhoUfhbwnpfhmKR3XTtOgtVdyCzCONUBOOM8dq0aKK+7SsrH5g3dhX5PXvxo1LRP8Agnr45+IfxT+Kt9pfxQF1qk3iW4vpoY9SsfFyXLtb2qwNkIUkgt0hiC4+zxIygqNx/WGvMtW/Yz/Za139oK2/aq1j4H6DcfEKzRFt/FMlsTcKViMSsRnazrGdocqWACgEbRj5/iDJq+cQpKnU5OV3/wCD6q2nq9UfXcLZ3lGVRqwx9FzTlCa5VFtunz/u3zWtCpz+81drli+SWx8haL8Y/h54j8EafYfE39tybUmu9Ktxr+j6j8RrBre4kaJTNDIiYyhbcCoI44zX1R+y/wCDTba7r3xJdps6rYWVjHuA8t0gkuZN68ZOTckE5I+Uehr177FZ/wDPpF/37FSAAcAVz4DhuthMwhiq2JlUcU7JrurbuTPHxeaQxFKdOFJQUnfTbe+1gooor6k8gKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiioNVtJdQ0y5sIbloXngeNJk6xllIDD3Gc0AfPH7O/wDwVd/Yi/al/aE1P9mX4N/E67vvEtgt81jJdaFdW1hra2U3k3h067lQQ3ogkO2TymbbyeQCa+jq/FT/AIJW/s3/ALTNh+0T+yF+zx4x/Zv8ceFLz9kmy+JEfxQ8Xa34flttIv21W5mWxXTrxvkvxcCVZW8snaAd3Sv2roAKKKKACvDf22f+Cif7MH/BPzSvDmrftJeItXsk8Van9h0iPR/D1zfsX3xRl5DCjLDGHmhXe5UFpFAyTivcq/Pv/g4/8W6tL+wbF8FPB/wj8f8Ai7xB4r8XaNeabbeB/A19rCww6dq1jdXJuHtY3Fv+6DFN+PMKsFzg4AP0DVgyhh0IyKWua+DvxN0X4zfC/Q/in4c0XW9Nsdd09Lq1sfEmizadfwI3RZ7adVkhfjlHAIrpaACiiigCh4q8T6H4J8L6l4z8T34tdM0iwmvdRumRmEMESGSR8KCThVJwATxwK8P/AGQP+CmX7KX7b3jjxJ8MPgrr3iC28TeFbOC+1Xw74u8JX2jXv2Gc4hvI4byKNpIH4xIBj5l9Rn2rxz4pg8DeCdY8bXWkX+oRaPpVxfSWGlWjT3VysUbSGKGJeZJGC7VQcsxAHWvzl/4IzfFHWP2q/wBsv4sftrftGfBv4m+D/iz4z0BNN0fw14o+GWp6TpXhXwlZXYFrp6X11CkV7eyySi4lKnuQihUagD9L6KKKACiiigD53/bN/wCCov7Jn7BOvWWh/tF6t4ps0uLOK8v9V0bwTqGo2Gj2ss/kRz311bwtFaI0gKr5jAnacCvoHTdSsNZ0631fS7tJ7W6gSa2njOVkjYBlYHuCCDX5lf8ABxfYXHxz+F0X7N/gf4FftB698SIrK3v/AIZS/D3Rbu48J6xfzX0GbbWNhNpKkP2VHKXqhVWUmMnc1fpJ8PYvE8HgDQ4PGtvaxaymj2y6vFZKBCl0Il81YwOAgfcBjtigDYooooAKCQoLMQAByTRXif8AwUb8IftLfEL9iP4i/D/9kKKF/iFr2gNp2h+dqiWJVZ5EiuGS4cFYJRbtMUkIO19pwcYoAX9jX/goL+y/+3zF43u/2YfGtxrtr8P/ABZN4d1+9fTpIYWvIxkmB3AE0ZHIkXgggjrXtdfmV/wb6/Cz9pL4J/Fv9pnwH8Vv2Jf+FQeF5PHuny+HrVfEZvreNodMtrUWlrJ9mhF7CsUSObxPlZ2ZNu5ST+mtABRRRQAV85/Er/gqB+zr8M/2qpv2OLnwh8Std8ZWb6UNVPhL4balqthpi6iSLWS6uraJorZGAcl5CABG5Jwpx9GV+S3/AAVQ8AfELSv27X8f/sKeBP2mdL/aJ17xf4Qgh1vQbW7j8AatotsFE5v5Yv8ARJIY4JbpHW5PmLJnYNrZIB+tNFFFABRRRQByHx8+PXwl/Zg+Duv/AB8+OvjS18PeE/DFgbvWdWu8lIY8hQAFBZ2ZmVFVQWZmAAJIrn/2Uv2uPhN+2R8PJ/iR8JLPxLZ2tpfmzvLDxd4UvNGvoJPLSRS1vdxpJsaORHVwCrBgQa+d/wDg4J/Z2+MX7TH/AATL8T+CfgdoOsatreleI9D12TSPDo3aheWllqEM862y/wAc6xq0iJ/E0YABJAqj/wAENrf9oOP4dfFi5+Ik/wAWG+G8/wATpm+Cg+OD3TeJRo32aLzTcfbP9JERufN8sS/NgNj5cUAfctFFFAH/2Q==", 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", "info": {"equation": "3*10=30", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "3*10=30", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "f9f1c98b48a967ce80e888a9e3b2a2b14dbc086b00a4a6252a63858e5c5025e8"} +{"episode": 43533, "episode_seed": 2879220146, "split": "train", "timestamp": "2025-10-28T03:46:52.557965", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 2879220146, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 6, 6])", "action": "('move', [2, 8, 6, 6])", "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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0MZKmqipTjNwl8MlGSfLLylaz8mfy+f8ABLP4l+N/h1+2r4WvPC3xPu/ClpqzyWXifWLbUobUjTWAllDTTAqgLRRnPUlQBycH9edatP2aPj34i0bS/iX8ddP+J8+n3Ek2heHvE/jG01S3S4aMhpks1wksoj3gMyvtVnxjJNfXvwO/Yz/ZZ/Zq8Q694r+BHwN0HwxqHiaQNrd1plqVa4w7OFG4kRpudjsTavTj5RjzT/gpB8FfhR8cND+HvgH4teA7HXdGk8YzzvYXYZUMkelXxRsoVbIJPevznF8MYzL8oqTliXaKbcVflf4/ofsvHPidlfHXG1DMMLQlhoqEYOa5XV68zspRT+JxS51eK1avZc9/wSJEemfDz4j+Dfh+zv8AC/Q/iPdW3wwkjRTai0aGKW9itJVz59umoPdoj5YcEBjjj65rxj9gXwr4b8C/s3Wngvwbodtpmk6V4l12103T7OPZFbwpqt0FRR2AH4nqck17PX2+S03TyihFu/uR/FX/AA2R+TcS4+GaZ7XxMI2Updd3ZJc0n1nO3NN9ZNsKKK4j41fEOHwpob6DYyN/aOoQlYdoH7tCcM5/UD3+ldOOxlHL8LKvVdlFff2S83seRQozxFVU4bs8R/aq+Ivifxt4osfh58M7kf254h1IaF4WYIjiGRlZ7m+KNIodIIY5pzg/MIkXqwB+hfhX8NPCnwc+HOi/C7wRYC30vQ9PjtbRABuYKPmkcj7zu252bqzMzHkmvDv2MfAUvjbxzrf7S2vWbLawfaPDvgaKUqdtpFMFvbwKYwyGe4hCL8xzFbRsMBzn6RrxuHMJVVGeOr/xKz5n5R6L7v07HbmVWHOqFP4YafPqwooor6Q80+Mv+C9/i/45+DP+CbfivUPgZNqMMlzf2tp4qutLi3SwaNIXW5JI+ZEJ8tHZeiO2cKWI/IT/AIIt/GPx78Pv2mLnwdZ/HXUvBXg/WNInn8US2uuw2EMrwxv9mLPNldwkkAG35iGI6Zx/R9rel6Nrei3mi+IrC2utPvLWSC/tbyNXhmhdSro6twylSQQeCCc15J+xv8Hv2G/hd4K1aD9iDR/BC6He6oG1m58G6pFfxyXSxrhJJkkkO5UZSELfKHyAN5J+UzjIcRmOZ069Ov7Oyt1uv8Oq3vrqftfCfiVgch8MMx4eq5f7WdaV1UsuVcySXtG03zQ5b099e1rv5S17wx+yR8e/EA1L4s/FXQvijeabo91HbReMPF1rqiaZZsAbqSKIMEgBATfPtDAInzrtFe9/8El77xJdfsdWNjfy3k3h3TfEmrWPw7ur63WN5/DcN06ac4xjfH5IARz96NUOSCGON/wUK/Z3+CH7QPxZ+HXh340fDPTfEVjYaHrtzZ218HCxSm40pS42MpPykjByOelexfsYWlrYfsp+AbCxto4IIPDVvFBBCgVI0VcKqqOFAAAAHAArgyHA1MHxHiKc6rm4xV2+t7PXV7bLU+PzHO6NfhClhFzSlKd+WVuSko8+lPVu8+a8vdgla1pXuvTqKKK+6PhDxL46fA39gbx1+0F4O8bftB+G/ANx8SbVoV8Fv4g1CGLUZzHMXiWGFpFNxtlJKja+GJxya9pNnaE5NrH/AN8Cv5kP+Cr/AMQP2hdS/wCCknxI1z4xarrFpr2heL54PDLzboJLLS4Z2bTmt9uNieSY5VZfvM5fO5ia/U39m79pKfxB8CPBXin4w/t46nb+Krzw9Z3PiC0n+IWnw7LpkDOrRBfk56r26cV8NDjDB4fFVoToNWla8Uru2l5ba/efuXHvhbmPDfDGU46pmKrqtDSDbtTulO1LV3hrq0o62dve0/SVVVBtVQAOgApa8q/Zt8X+I/GQvdZl1ptT0m6gS4tb8T+bFIz/ADAxOMqyspz8pxjbjrz6rX1WWY+GZ4OOIjFxTvo/J2PxXFYeWFrOm3ewUUUV3nOFfzWf8Fx/F3xy8Tf8FJPiBYfG2XUVj0m/Fp4Qtr2LZFFowG62MAHylHDM5Yfednz82QP6U6+JP+ChH7OPwK+N/wC0Le+I/i58L9L8QXvh34ZWcuizaijt9lc3WpuSFDBWBaNDhgR8vTk5+S40pOeT8/NblknbvfT9bn674Mcc4HgPimeMxWH9rGdOUNLc0XdO8b6WduWW2jvraz9q/wCCamv/ABj8UfsG/CzXvj9b3cXiy48JwHUhf2ohnZAWEDyIMbXaARMcgEliSASRXuNc58HmLfCTwszHJPhyxJJ/690ro6+nw8HSw8IN3skrvd2W5+YZpjI5hmdfFRpqmqk5SUY/DHmk3yx8ley8kFfylfHv4p/tNn9sfXvit8WNa1ey+Kmn+M/tN1dXkYjubHUbeYeUqocqgiMcaoo+QKigfKBX9WtfAXx9/Zx+Bev/ALWnjH4/658LtLuvGenfErw7DYeIZ42aeBFh0VV2gtsyFdgG25GeDnFfJ8ZYeVXD0JKTXvpf+BdfVW09Wfrfg14hZfwFisweKwir+2pWW104t+67/wDLufN79rv3Y6MxL3x/8H/ij8LoPBvxx/bQm1qy1XSbdPE+gal8TbNba7YojTQTCEoTGXDKyBgGXKnIJB6T9jHwr4O+F/8AwUUvfB37Nfh+w0vw/qfw0e5+KWleHbCFLC1vYriJdHkk8sYguJIpL7CDbvjQOVOd5+n/ANtfw/omt/sj/EbRdW0qCe0vPCN7BdQPGNskbxFWU47FSR+NeUf8E9vgP8HP2e/in488HfBP4d6d4b0y58P6LdXNrpyNiWY3OqLvZnZmY7VUDJ4A4xXnQyrEYHiTCwqYiVRtSd3e+iemrej6ny+C4gw8OH8bHlkudOKpK3srzsnOWvxQsnBKD96MW5Lls/qyiiiv0M/Pj8Jf+Dnnxd8cbr9rvw14J8VT6jH4DtfC0d14St2j22k10zMt5IpHEkoIiVs8qpXgBst6X/wSU/aK8U6p+x9YWPxp/bP1nw+2k6tNp3hnS5vHFnZmHSoooViVY5QX2B/OVS38KgD5Qtfqh+0N+yx+z1+1f4Ys/Bv7RPwo0rxXpunXv2uxt9SRs282xkLoyFWXKsQQDg8ZBwMdf4e8JeF/CWgWPhXwx4fs7DTdMs4rTT7G1t1SK2gjUJHGigYVVUAADoBXxmJ4YxtfM6uJhiXBS7Xv6PVaLoftea+KmVZh4Y4DhiOASq0JXc3y8ul/ejo3zzvebdtb730+Wv2fvDHg74m61oNx4I8YjXrDTvEf9q3WtWWpx3n2i6SR5pGmmTKlnkclsYOW4xX1rTY444l2xRqo9FGKdXt5LlP9kYeVN1HNyk5NtW3t5vt3PyDG4v65UUuWyStYKKKK9g4wrzD9p7Qhquh6NqjaOtwNM1J547nBLWztC8W4Y4AKSOpJ9R616fRXDmWD/tDAzw/Ny8ytfexvhq31evGpa9jiP2ePBLeAfhdbaPIJw91qF9qEiXIAZGurqW4K4wMAGTAB5xjOTXb0UVvhaCwuGhRTuopL7lYirUdWrKb6tsK5H4jfCLS/iHqFrqVxqctrJAvlymKMN5keScc9CCTg8jk8GuuoqcXg8NjqDo1480X09PQdGtVoT56bsyOztILC0isbWMJFDGscajsoGAPyFSUUV0JKKsjJtt3YUUUUwPjL/gvf4v8Ajn4M/wCCbfivUPgZNqMMlzf2tp4qutLi3SwaNIXW5JI+ZEJ8tHZeiO2cKWI/IT/gi38Y/Hvw+/aYufB1n8ddS8FeD9Y0iefxRLa67DYQyvDG/wBmLPNldwkkAG35iGI6Zx/SBrGkaV4g0m60HXtNgvbG+tnt72zuohJFPE6lXjdWyGVlJBB4IJFcD+z1+yP+zZ+yjoOoeGf2ePg9pHhWy1W7W61KLT4mJuJVUIpd5GZiAOgzgZYgAsc/K5vw/isyzGGJp13BJW0vdelmt766r5n7Pwr4oZXw/wCGuYcNVsCqlTESbjPTl95RV5315qfLena+ttrXfzL4E8dfD3xl4vh/sf8AaIPjvW4rSSOxt7rxbbajPbws8bSiKOHBAZo4dxwfuJ07/XHwT8Ep8OPhJ4e8DRyTMNM0qKHNwRv4HOcADPPpXSpbW8Tbo4EU+qqBT66cnyKeWYmpXqVnUlJJXa7ed3c/KcZj44qnGEYKKXb/AIZBRRRX0J5x5l8Uf2NP2WvjV8V9C+OXxW+B+g674t8NeV/YmuX9sWmtvKkMsY4IDhJCWUOGAJOMZr0k2doTk2sf/fAqSiojSpwk5Rik3vpv69zqr47G4qlTpVqspRpq0U5NqK3tFN2ir62VhFVUG1VAA6AClooqzlCiiigArwj9pjwRJr/jlpItDfzdX0JdMF5boxeVA0xCdxlTNIw4/iJORXu9FeXm+WLNsE8O58qbTvvsdWDxTwlb2iVzO8IaFH4W8J6X4Zikd107ToLVXcgswjjVATjjPHatGiivTSsrHM3dhX5PXvxo1LRP+Cevjn4h/FP4q32l/FAXWqTeJbi+mhj1Kx8XJcu1varA2QhSSC3SGILj7PEjKCo3H9Ya8y1b9jP9lrXf2grb9qrWPgfoNx8QrNEW38UyWxNwpWIxKxGdrOsZ2hypYAKARtGPn+IMmr5xCkqdTk5Xf/g+qtp6vVH13C2d5RlUasMfRc05QmuVRbbp8/7t81rQqc/vNXa5YvklsfIWi/GP4eeI/BGn2HxN/bcm1JrvSrca/o+o/Eawa3uJGiUzQyImMoW3AqCOOM19Ufsv+DTba7r3xJdps6rYWVjHuA8t0gkuZN68ZOTckE5I+Uehr177FZ/8+kX/AH7FSAAcAVz4DhuthMwhiq2JlUcU7JrurbuTPHxeaQxFKdOFJQUnfTbe+1gooor6k8gKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiioNVtJdQ0y5sIbloXngeNJk6xllIDD3Gc0AfPH7O//AAVd/Yi/al/aE1P9mX4N/E67vvEtgt81jJdaFdW1hra2U3k3h067lQQ3ogkO2TymbbyeQCa+jq/FT/glb+zf+0zYftE/shfs8eMf2b/HHhS8/ZJsviRH8UPF2t+H5bbSL9tVuZlsV068b5L8XAlWVvLJ2gHd0r9q6ACiiigArw39tn/gon+zB/wT80rw5q37SXiLV7JPFWp/YdIj0fw9c37F98UZeQwoywxh5oV3uVBaRQMk4r3Kvz7/AODj/wAW6tL+wbF8FPB/wj8f+LvEHivxdo15ptt4H8DX2sLDDp2rWN1cm4e1jcW/7oMU348wqwXODgA/QNWDKGHQjIpa5r4O/E3RfjN8L9D+KfhzRdb02x13T0urWx8SaLNp1/AjdFntp1WSF+OUcAiuloAKKKKAKHirxPofgnwvqXjPxPfi10zSLCa91G6ZGYQwRIZJHwoJOFUnABPHArw/9kD/AIKZfspftveOPEnww+CuveILbxN4Vs4L7VfDvi7wlfaNe/YZziG8jhvIo2kgfjEgGPmX1GfavHPimDwN4J1jxtdaRf6hFo+lXF9JYaVaNPdXKxRtIYoYl5kkYLtVByzEAda/OX/gjN8UdY/ar/bL+LH7a37Rnwb+Jvg/4s+M9ATTdH8NeKPhlqek6V4V8JWV2Ba6el9dQpFe3sskouJSp7kIoVGoA/S+iiigAooooA+d/wBs3/gqL+yZ+wTr1lof7RereKbNLizivL/VdG8E6hqNho9rLP5Ec99dW8LRWiNICq+YwJ2nAr6B03UrDWdOt9X0u7Se1uoEmtp4zlZI2AZWB7ggg1+ZX/BxfYXHxz+F0X7N/gf4FftB698SIrK3v/hlL8PdFu7jwnrF/NfQZttY2E2kqQ/ZUcpeqFVZSYydzV+knw9i8TweANDg8a29rFrKaPbLq8VkoEKXQiXzVjA4CB9wGO2KANiiiigAoJCgsxAAHJNFeJ/8FG/CH7S3xC/Yj+Ivw/8A2QooX+IWvaA2naH52qJYlVnkSK4ZLhwVglFu0xSQg7X2nBxigBf2Nf8AgoL+y/8At8xeN7v9mHxrca7a/D/xZN4d1+9fTpIYWvIxkmB3AE0ZHIkXgggjrXtdfmV/wb6/Cz9pL4J/Fv8AaZ8B/Fb9iX/hUHheTx7p8vh61XxGb63jaHTLa1FpayfZoRewrFEjm8T5WdmTbuUk/prQAUUUUAFfOfxK/wCCoH7Ovwz/AGqpv2OLnwh8Std8ZWb6UNVPhL4balqthpi6iSLWS6uraJorZGAcl5CABG5Jwpx9GV+S3/BVDwB8QtK/btfx/wDsKeBP2mdL/aJ17xf4Qgh1vQbW7j8AatotsFE5v5Yv9Ekhjglukdbk+Ysmdg2tkgH600UUUAFFFFAHIfHz49fCX9mD4O6/8fPjr40tfD3hPwxYG71nVrvJSGPIUABQWdmZlRVUFmZgACSK5/8AZS/a4+E37ZHw8n+JHwks/Etna2l+bO8sPF3hS80a+gk8tJFLW93Gkmxo5EdXAKsGBBr53/4OCf2dvjF+0x/wTL8T+CfgdoOsatreleI9D12TSPDo3aheWllqEM862y/xzrGrSIn8TRgAEkCqP/BDa3/aDj+HXxYufiJP8WG+G8/xOmb4KD44PdN4lGjfZovNNx9s/wBJERufN8sS/NgNj5cUAfctFFFAH//Z", 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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": "ea3199ba81f6d5c007fac3dc252e42c81d012999f89f08956af9d7bff1f47894"} +{"episode": 43534, "episode_seed": 2040561641, "split": "train", "timestamp": "2025-10-28T03:46:52.612457", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 2040561641, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 5, 1])", "action": "('move', [4, 0, 5, 1])", "reward": 0.0, "image": 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", 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", "info": {"equation": "285/19=15", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", "info": {"equation": "285/19=15", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "8e08cd9791dc9bd729f64cf91122439fd7971349a7ccca702d7ae41cbfc31121"} +{"episode": 43535, "episode_seed": 2200788291, "split": "train", "timestamp": "2025-10-28T03:46:52.655215", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 2200788291, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 3, 8])", "action": "('move', [2, 6, 3, 8])", "reward": 0.0, "image": 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", 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", "info": {"equation": "2+0*5=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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", 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", 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3yjr1r069J1qEqaduZNXW6ut16GmU46GWZrQxkqaqKlOM3CXwyUZJ8svKVrPyZ/LH/wAE+viN8VfB/wC0/wCGtD+H3iy9srTxNr2nWPiq2huFEd/YfboJXjlD8MNyKwx82R8vJwf268P/ABAtfCX7SXiHQYviadLv9X8NaVHaaENXjha+CzXzNIkRIeR1CY3L0UsD1r0X4s/sa/st/sz/AAU8deLfgL8D9B8L6l4lvdMfWrvS7Yq1xjU4XCjJIjTc7HYm1enHAx0H7JUcbfF3x+7RqSNK0TBI5HzahX5euHcTh8zpYJ17OUZO6vouy1W9tdtz9g8TfEbLePc2/tXCYT2cIRhC0rc0mm3zStdac3LHfRJ6XsvYvhzda9e+CdPufEyuL14czeYuGPJ2lh2JGCR61t0UV+oUKTo0I03JvlSV3u7Ld+bPxKpJTm5WtdhXwfrPxCubT9tf42/8Lz8aNp9zox03/hGLPXLmO1tbbwqtmkn2y33EBo2vXvBNNztaKNWK4UV94V8fft+fs6/A79oD9oXw3H8avhjpviRNF8GXE+lpqSuVgka8jDEBWAbIVchsjjpzXzXGNJ1MklJStytP11tZ/ff5H1HCOLy+hjqlDGRfJVhy80VGUoNSjNOKk0nfl5X70dJN3duV5Hwr+IH7UUX/AARW1Xxz8PW1248cWfg/Wf8AhAbmbSlXUJtMiurhNLnEIUAyHT1t5F+XLHacEnB/G/8A4I7+KvjbZ/8ABTX4Yar8Knv73VNS8UpD4kkSH7Q8ulSv/wATGSUvn5RAZHLk5BUEHOM/0W/stqifsyfDlI0VVHgTSAqqMAD7FFwAOlfHX7Ff7OnwM+Gfx5+H3xW8BfDDTNL8SeJL3U21zWbdHM92Xsb2R8lmIUM+GIUAEgccDHm5vg5rF5d+8e8Y/dbX1fU/UODPE3KsgyHP8HLL4v63zSha3LFSUkoT0V4QTvGy3vor3X6AUUUV94fggV5f+0taaK2naddyNt1EzMkIVRl4sZYMeoAJGPc+9ek6lqNppOnz6pfyhIbeJpJXPZQMmvlL4/6x4k+P/j7S/hJ4Rlu7aTxldtp7XsJCSaXosQD39yGMbhXMTGNMj/W3UXOASPmOKMRCWDWCilKpVaUV21+L5fn8z1MrpyVZ1m7Rgm2/0K37BfivwR8Wv2g/GHj3UIH/ALS0/R4rXwGLqKHZLovnyRXV9bOsrM/nXkJRztXEUNp/z05+va+T/if8KNQ+CHxG8K+IvhRYQ203gy4jOi2YZI0utHdVhutPLmNtu6JBsxgCWGElgATX1VYX1tqdjDqNnIHiniWSNh3UjIo4YrwjhJYKS5alJtNd9dH8wzSm3WVdO8Zq6/yJqKKK+nPLP5hv+CtvjL47+Jv+Ci/xOufjrcakmq6X4qubPQYb6Ly/s+kRzMdPEKjgRmAxyAj7xkZzlmJr9Rvgh8ctO+Jf7NHhn/hoL9ufVBreveEoB4u06X4kWVoTLNDiaNlj2tFkMQQpVlzwQRX2N8dPgb+wN46/aC8HeNv2g/DfgG4+JNq0K+C38QahDFqM5jmLxLDC0im42yklRtfDE45NelfFe0tR8L/Eri1jyNAvDnyx/wA8Hr4RcK4t4mtUhi3Hmd9L3fX3tVrr5n7rx14pYDibhvKMBSy72MsNBe80ktEo/urK/I3G7295JdLv4R+AfhL4Z/B39uT4Q6B+yBo+m6TF4g0fUE8f6V4Qhiazu/DUNi72d7eBCQCt6bZILg/PJ9omXc43Y/RGviH/AIJzfs5fAv4BfGbR5/g18L9L8PSa58MLubV5bFHL3TrPpJUszsxwC7kAEAFicc19vV6HBsHDJU73vKT9Oll91/Vn53xtmdHMszpqnKU/ZwUXOdlOb5pS5pWlLbm5I+9L3Yx16Irnfi34X+GPjX4Ya/4W+NOnaVd+ErzSZ08Rw62yrafY9hMrSs5ARVUFi5I27d2RjNdFX5x/8HMni745eG/2JtF0z4bT6jB4X1bxQtt49nsI/lNvs3W8UzjlInmAz2Zgik8gH3cyxUcFgKleUeZRW3f/AIHfyObgnIa3E/FmDyulW9jKrNJT/ltrdbe9p7qurysrrc+0P2U/hj+yj8NfhDBoH7H+keFIvBkt9PcQv4TvI7u0muSwWVzMjv5j5UKSWJAQLwFAHpMcEERzFCik9SqgV/Pj/wAENfjd448J+LvF/wAO9c/aP1TwV4GGlf2gLeLxNb6fBJqrSwxqymcHLmFZMhOoRd3Ra/VL4P8AxmHiC6bw/wDDr9o668a3kdwtwYh4ng1GaLOEAIg5EZ9GGMk18nh+NMFHDxj7CSeitFK3y/TTyPqfETgPG8McX4nA1cX7dpqXtJN875kpe/e/va66vv1sfX9FMgMzQI1woEhQeYF6A45xT6+5Turn5cFfyofG74x/tVab+2fr3xh+I3ijXdK+LOneMHmur6X9xd2N/FJsRFXoioFVFQfIEAUZWv6r6+Avj7+zj8C9f/a08Y/H/XPhdpd14z074leHYbDxDPGzTwIsOiqu0FtmQrsA23Izwc4r47jLDyq4ehJTatNL/wAC6+qtp6s/afBrxBy/gLFZg8VhFX9tSstrpxb913/5dz5vf3fux0ZT0f4x/DvxH4KsLD4mftuTak13pcA17R9S+I1g1vcSNGpmhkRMZQtuBUEccZr6n/Zf8Gm213XviS7TZ1WwsrGPcB5bpBJcyb14ycm5IJyR8o9DXr32Kz/59Iv+/YqQADgCunAcN1sJmEMVWxMqjinZNd1bdyZ+W4vNIYijKnCkoKTvptvfawUUUV9SeQfE3x58Y69F/wAFG9X8P/E/xHc2Wl2fw3tJPhpYXkiw2d0JJZW1eaIkjzp0MNoHHJji5wFOT4p+zB+0Voer2vjxNR/bd1LSdDtPibq8Pg22Txrp9lGdN3RuWiQrl4vtT3YSQ53oFIJGCf0E/aG/ZY/Z6/av8MWfg39on4UaV4r07Tr37XY2+pI2bebYULo6MrLlWIIBweMg4GOv8O+EvC/hLw/Y+FPDHh6zsNM0yzitNOsLS3VIraCNQkcaKBhVVQAAOABXxmJ4YxlfM6uJhiXBS7Xv6PVaLofdV+JclnksKMcNetywhK6ioRUFbng9ZOdSyc7pWfNrLmXL4V+zN8S9V8dazpsvhT4myeLdLija2u9TXVUvUcIpyXki+QyAkZPBJIzX0NTY444l2xRqo9FGKdXvZRl1XLMO6dSq6jbbu/Ppu/zPj8ZiY4mopRgo6Wsgooor1TlOS+OegJ4n+FuqaLJo636SLE7WzBjnZKjhgF5JUqGHutcj+y94HbSbrxB4/l88Nra2dsqyABClv5xDLxk5M7AnJHyjHQ163QABwBXlVcrjVzenjnN+7Fxt01vrf5/kdUcU44SVC27vcKKKK9U5Qr4P1n4hXNp+2x8bf+F5+NG0+50b+zf+EYs9cuY7W1tvCq2aSfbLfcQGja9e8E03O1oo1YrhRX3hXmf7QH7G/wCy7+1Rf6Lqf7Q3wS0PxZceHndtHm1W3LNb7ypdcqRuQlFJRsqcdK8TP8qq5vgfYU58run5Pyf5+qPpOGszy3LsRVjjoydOpDl5oqMpwalGacVJxTvy8r96Okm7u3K/gb9jj9ofTtb/AGeNGuvGn7dWt6c8d3f2+kWl1430+xlTSoryaLT90BQGMm0SA4IB5yeTX1T+y74L8K+KvFPhbxZ4I1VL3RfDkVxPp99p92k9vPvgltsGVch/9a5+U53KfQivpaPT7CKNYorGFVVQFVYgAAOgFSoiRrtjQKB0AGK8vDcLV6WLpVq2KlNQd0mvyvJ2+4nM88w+NxFepQw8aUajk0ltFNtpaJXstOgtFFFfXnzpV1rSbTXtIudFvlJhuoWjkx1AIxke9YHw1+FmnfDlbqSHUXu57ogGWSMLtQE4UAZ9eT3PpXU0Vy1MFhauKhiJxvON0n2uaxr1Y0nTT917o5X4k/CrTfiK9pcT6jJaTWpKmSOMNvjJBK4PQ8cHtnoa6LSNMtdF0u30iyXENtCsUYPoowKsUUU8FhaWJniIRtOdrvvbYJVqs6Spt6LZBRRRXUZH8xn/AAVf+IH7Qupf8FJPiRrnxi1XWLTXtC8XzweGXm3QSWWlwzs2nNb7cbE8kxyqy/eZy+dzE1+o/wCz9+0FF41/Z58I6p8cv26tSXxFqvhi2k8T6fc/ELT4QZ5IgZY3iAGzOSCvBGSODX2/8Uf2NP2WvjV8V9C+OXxW+B+g674t8NeV/YmuX9sWmtvKkMsY4IDhJCWUOGAJOMZr0k2doTk2sf8A3wK+HXCeOWJq1I4twUnfS93/AItVr95+3cdeK2U8WcNZXltHL1TlhYWk3y2uoqNqdk2oO3M07O9l0u/Bv2VvB2k6j4wt/iZoMwfTbLwxJp2mS2kivazQ3ElrKCjjO/C2yYIOMNznINe+0iqqDaqgAdABS19LlGWrKsDHDKXNa+trbu+2p+N4zEvF13UatcKxviF8PfBPxY8D6r8NfiR4YtNa0HW7J7TVdLv4t8VzC4wysP1BGCCAQQQDWzRXpSipJpq6ZhTqVKNRVKbakndNaNNbNPo0cT8C/wBnH4G/sz+A1+GPwI+GWl+GdCW7kujp2nQna88mN8jMxLOxCqMkk4VR0AA7OOCCI5ihRSepVQKfRShCFOCjBWS6LYvE4nEYyvKviJuc5O7lJttt9W3q35sKKKKoxCvyevfjRqWif8E9fHPxD+KfxVvtL+KAutUm8S3F9NDHqVj4uS5dre1WBshCkkFukMQXH2eJGUFRuP6w15lq37Gf7LWu/tBW37VWsfA/Qbj4hWaItv4pktibhSsRiViM7WdYztDlSwAUAjaMfPcQZNXziFJU6nJyu/8AwfVW09Xqj6/hbO8oyqNWGPouacoTXKott0+f92+a1oVOf3mrtcsXyS2PlD4f/tEeGrDSND1zxL+3hcy6pFZWs2pWd58RtOaFrjy1MqOgGCu/cCoOO2a+uv2edY8Uax4fu59cup7i1EymxuLhixfIJYBj95c459SR2rvvsVn/AM+kX/fsVIABwBWWXZBisFjY16mKlUST0d+vrJ+vrY8XGZlSxNOUY0Ywu76dPTT5BRRRX0x5QUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFQaraS6hplzYQ3LQvPA8aTJ1jLKQGHuM5oA+eP2d/wDgq7+xF+1L+0Jqf7Mvwb+J13feJbBb5rGS60K6trDW1spvJvDp13KghvRBIdsnlM23k8gE19HV+Kn/AASt/Zv/AGmbD9on9kL9njxj+zf448KXn7JNl8SI/ih4u1vw/LbaRftqtzMtiunXjfJfi4Eqyt5ZO0A7ulftXQAUUUUAFeG/ts/8FE/2YP8Agn5pXhzVv2kvEWr2SeKtT+w6RHo/h65v2L74oy8hhRlhjDzQrvcqC0igZJxXuVfn3/wcf+LdWl/YNi+Cng/4R+P/ABd4g8V+LtGvNNtvA/ga+1hYYdO1axurk3D2sbi3/dBim/HmFWC5wcAH6BqwZQw6EZFLXNfB34m6L8ZvhfofxT8OaLrem2Ou6el1a2PiTRZtOv4Ebos9tOqyQvxyjgEV0tABRRRQBQ8VeJ9D8E+F9S8Z+J78WumaRYTXuo3TIzCGCJDJI+FBJwqk4AJ44FeH/sgf8FMv2Uv23vHHiT4YfBXXvEFt4m8K2cF9qvh3xd4SvtGvfsM5xDeRw3kUbSQPxiQDHzL6jPtXjnxTB4G8E6x42utIv9Qi0fSri+ksNKtGnurlYo2kMUMS8ySMF2qg5ZiAOtfnL/wRm+KOsftV/tl/Fj9tb9oz4N/E3wf8WfGegJpuj+GvFHwy1PSdK8K+ErK7AtdPS+uoUivb2WSUXEpU9yEUKjUAfpfRRRQAUUUUAfO/7Zv/AAVF/ZM/YJ16y0P9ovVvFNmlxZxXl/qujeCdQ1Gw0e1ln8iOe+ureForRGkBVfMYE7TgV9A6bqVhrOnW+r6XdpPa3UCTW08ZyskbAMrA9wQQa/Mr/g4vsLj45/C6L9m/wP8AAr9oPXviRFZW9/8ADKX4e6Ld3HhPWL+a+gzbaxsJtJUh+yo5S9UKqykxk7mr9JPh7F4ng8AaHB41t7WLWU0e2XV4rJQIUuhEvmrGBwED7gMdsUAbFFFFABQSFBZiAAOSaK8T/wCCjfhD9pb4hfsR/EX4f/shRQv8Qte0BtO0PztUSxKrPIkVwyXDgrBKLdpikhB2vtODjFAC/sa/8FBf2X/2+YvG93+zD41uNdtfh/4sm8O6/evp0kMLXkYyTA7gCaMjkSLwQQR1r2uvzK/4N9fhZ+0l8E/i3+0z4D+K37Ev/CoPC8nj3T5fD1qviM31vG0OmW1qLS1k+zQi9hWKJHN4nys7Mm3cpJ/TWgAooooAK+c/iV/wVA/Z1+Gf7VU37HFz4Q+JWu+MrN9KGqnwl8NtS1Ww0xdRJFrJdXVtE0VsjAOS8hAAjck4U4+jK/Jb/gqh4A+IWlft2v4//YU8CftM6X+0Tr3i/wAIQQ63oNrdx+ANW0W2Cic38sX+iSQxwS3SOtyfMWTOwbWyQD9aaKKKACiiigDkPj58evhL+zB8Hdf+Pnx18aWvh7wn4YsDd6zq13kpDHkKAAoLOzMyoqqCzMwABJFc/wDspftcfCb9sj4eT/Ej4SWfiWztbS/NneWHi7wpeaNfQSeWkilre7jSTY0ciOrgFWDAg187/wDBwT+zt8Yv2mP+CZfifwT8DtB1jVtb0rxHoeuyaR4dG7ULy0stQhnnW2X+OdY1aRE/iaMAAkgVR/4IbW/7Qcfw6+LFz8RJ/iw3w3n+J0zfBQfHB7pvEo0b7NF5puPtn+kiI3Pm+WJfmwGx8uKAPuWiiigD/9k=", "info": {"equation": "2+0*5=2", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "9f10e420df766c1396ceae5c0318d17e0843528202ed40f4f42aaa5885e99a1d"} +{"episode": 43536, "episode_seed": 2939712173, "split": "train", "timestamp": "2025-10-28T03:46:52.702085", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 2939712173, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 5, 0, 5])", "action": "('move', [7, 5, 0, 5])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "97-34=63", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", "info": {"equation": "97-34=63", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "4726714e03ac0a1bbd0ea74100b375deb55fc0c12bddcbe35888e28662bdf1f3"} +{"episode": 43537, "episode_seed": 3099547194, "split": "train", "timestamp": "2025-10-28T03:46:52.740012", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 3099547194, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 0, 1, 8])", "action": "('move', [4, 0, 1, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "9*2=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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"info": {"equation": "9*2=18", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "8bc46ffa1965059f7c1372cbe79ce9ddeb5b7ce335cba704530929ba580bdb97"} +{"episode": 43538, "episode_seed": 1636314782, "split": "train", "timestamp": "2025-10-28T03:46:52.794282", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 1636314782, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 3, 5])", "action": "('move', [8, 6, 3, 5])", "reward": 0.0, "image": 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g+ZoMN9LHY+WwJ8yFYlCRPk7okjIJBBP0LXmf7HOjaT4c/Zo8J+HtA06GzsLCyktrK0t0CxwQxzyIkagdFVQAB6CvTK+zyyLhl1GLd/djr8kfk+eYyGYZziMTGPKpzk7ere/n38z8jf8Ag6p8R/Fi18H/AAn8LafLep4IvL/UZ9VEUf8Ao8upxpELYSMP4hE9wVU9QXIzjin/AME8vih4b8ef8E//AAt4F/aI/ayu7S1n0u50q68J3nju0sYH0lJXhhtniBWRYmgUIQWBZDyea/U346/s+/Bf9prwBJ8Lvj18O9P8T6BLdRXLabqSMUE0ZJSRSpDKwyRkEcMR0JFZn7QHg7wpp/7LPjXwfYeHbODSoPAGo2UOnwwBYo7cWUkYiVR0UJ8oA6CvnMz4dxWJx1XFwxDgpRWivfRap6rTS/zeh+jy8RcBU8O8v4bjhLVcPWlUdVW2bk049eb3rPVaQjZ/y+Bf8E4/DnhbwF+0D8W/AnwY0Sy07wRFp+hXl3YaNZxR2Ftr8iXKXKxmMYEjWkWnvJGPu5RsDfz9g186f8E7/hB8MPgZ4d8ZfD34Q+CbLw/osOv288en2Cts82SyhLuSxLMxwOSTwAOgAr6Lr1OGYOGR0Fe+l/vbf4Hw3FeOp5hntWtTu1aMby+KXLCMeaVm7Sla7V5Wvbmlu/jr/gvN4k+LHhj/AIJk+PLv4Sy3sUlw9na+IJtPjzImlSzqlzkjlUZSEcj+B2zwSa/Mr/giV42+IWq+Afiv4G1jxLdzeGdF8HXlxomnyzgxWVzOB9peMdU3iKAn+HKZ67s/vZ4o8MeHvGvhrUPB3i3R7fUdK1ayls9SsLuMPFcwSoUkjdT1VlYgj0NfJ37QPwK+EP7OPhLTvhR8DvANh4b8PWXgLxJLbaXpyEIryS2ru5LEszFj1JJ6DoAK8Li3K6tRPHKpaMYpOPf3l+Gt/VL5fd8N8d4HB+HeI4VlhU6tasqiq6aJKLfnzLk5VbTlnLVWtL1T9kLx3qXjvSRqdl46fxLo50uJYtY/tBbpJpUwmRKnyMx2tux3HIzmva6r6SiR6XbrGgUeQnAGOwqxX1WV4KeX4NUZ1HN3bu99Xfu/zPyrFV44is5qPKuyOZ+NN9430v4OeLNT+Gds83iS38M38vh+GOESM98tu5gUK3DEyBBg8HpX87f/AASN+M/xO8M/tuX0viD466z4Ss/EllqEvjzVX12Oye6lVZJUM8lxwZPtLD/by7DoWr+kqvKfgR8If2OfA3xK8f8AiH9nnw94Ng8VavrCyfEZ/D93FNdC9LyuFukV2MDl2mbYQuSWOM5rzM8yatmmIozp1vZ8t/XVbrVa6a67H6ZwPx1g+GOEs5yytg/bPFwjFSsrQs2vfbvoubmhb7aXe6+Fvjho3wQ1fRLj46/DbxxZ+NPivaeJ9D/4RLxV/bNtq+rjVkukSxsomBIWNwZg0CgKyNNIwJUuv6f18c/Hn4HfCHXv27tO+Nes/D7TrnxXoWseFbXR9clRjNaQveDcqDO0Z8x+cZ+Y4NfY1c3DGFnhKuKhKbm1O131st+urvr6HzHEWa08dl2Coxcm4Rk25dOblSpx1fuQULx+HWUrRW7K/nA/bu+KH7ROjf8ABafxP4v8Q+KNT0fxNo/xOjtPDl9KyQPY6Wsojs2iL/IkZtGRwx4IkLnlia/o/r43+MvwR+Eut/t8W3xw1jwBp9z4t0rxH4cstN12ZGaa3t28vcijO0Z8xxnGcMRmq4rw8sRhaKjNx/eRWnnpf1W6PqPCrjbBcFY7HVcThVXVbDzppO2jdnZ3+xLaa3tbR2seaePdM/ZH+O7uvxp+OWlfEi20jTL54LbxT40tNQi0y2eMfabqONCojYRqMzkbowCVZckn62/YJ174h+J/2NPhxr/xUutRuNcuvC1u9zdavCI7u4jwfJlmXjErw+W7ZAO5iSAcivOf+Cj/AMC/g/8AG+TwX4e+Lfw807X7GxXVb60tL6NtiXCRQBXwpG7AZhg5BzyDXvvwV/5I54S4H/Is2HQf9O8dYZDgauCzrEwqVXNqMLt9b693tayPmszzeliOGKGFXM3zuVnblpqN1anq/jcuaekVeMfi3XTV5X+1H8KP2P8A4o2XheL9rnRPB93BY+I4n8J/8JbexQKdSYHZHCZHXzXcD/VfMH2jKnAx6pX4bf8AB0Z4o+Lo/as8A+GdTur+Lwba+DPtnhxQpWBtRa5lW7dWH3pFRLQHuoK4xu59rPMfDLsulWlDnV0rPbV9f63ser4V8KYjjPjOjl1HFPDScZy9pG/MuWL0jZq7ez1Xu8z6WP3F+yWobcLaPOeuwVJX5vfsd/tLX2ufBP4feJfid+2vqF34u1Dw/aNq2jaj47sj5t1LHt8t4AA+47h8ud27Hevv/wCE93rl74B0+58QtI1yyN882d7JuO0tnnO3H1rlyriLDZviXRpU5Kyvd27pW0b7nymb5LWyevUpVJxlyTcLxd07Nq68nbQ6KiiivoTxTx7/AIKCeIPit4U/Yj+KXiT4HveJ4rsvBV9Lo0mnR77iOQRHLxDrvVNzLjkEAjJxX5O/8Gs2t/E9P2nfiRoemJdP4RufBcVxr0ggDRLqCXaCz3OeVcxyXuB/EAxP3a/b6/YrYzMp5ETEfka+R/8AgmB8EvhL8E7/AFm0+E/gGw0GPW/B2h6hqwsVbN1dM10DI5Ykk+3QZOAMmvmM0oSlxDgp8zXx6eiv+N7PyP1PhjjXB5P4cZxkVTDKc8S6bjPTSzXxdfdtzQttJt6dfr2vDv8AgpX4j+LHhH9gn4reJPge96niez8HXT6dLpse64iXAE0kY6h1hMjAjkFcjkCvcaSSNJUaKVAysCGVhkEehr6KvTdajKmna6av2utz87yvGRy7M6GLlTU1TnGTi9pcsk+V+TtZ+R/PB/wQv+KuueCfil428N6j8e73wP4YvfD8V1eSW3iC209bq/jnVIAXmBLERyXPyr9T0FfoFomh/CHQfjv8NPiv+z/4mtdc+IHiH4s21tqPifTtTh1LUdbspVA1aK7mViZLeKxQSFeFgMMBUISN32T+yn8JP2Pfhf4N1fTf2PdA8HW2h3OvzS6z/wAIjeRXMP8AaIRFkSR0dwrqoQeXkbQRhRmvD/CHwQ+EWlf8FFbj46ad8PtOi8Yah42vLC88QKjefJbLoLgR8naowiDIAJ2jJr86nkGJy76o5YhyTqRSSvyq7butf0W5+ycU+IWC4j4zx+a08POhGVJrksuao1BR5a2qXK95fFolG2vMvsWiiiv0o/DD+af9n34ufH/Sv+Ctf/CbfFD4i6r4Y8W6h4+vrTxvq9xdxWU9pCzul1GzyjZCqxqUA6KFUL0Wv0e/aI0b9lf4o/Dfxf8AEfxl8XrLx34i0PwlL/ZGvX/iW21XUNFdGMlqbJUOIZWu/K27V3SybIzuBCH3T4efA/4R6T/wUFuvjfp/w/0+LxdrHjTVbLUte2MZ57ddLlCxnJKgYjT7oBO0ZzTP+CiPwN+EHxK+Lml+L/Hvw907VdT8KeDnvPDt3dxsTYTm6J8xACFJyiEbgcFQRivyWrlNdZdXre3lyxquPLrZvmS5nrvrfbpuf0BxN4kZbxJxVl+No4Z4ZUqEIv2duZuKcnBapcl/cV3pHVxfwH1T8JbzxjqPwq8M6h8RbZofEE/h+yk12FowhjvGgQzKVHCkSFhgcCugoor9ZiuWKR+B1qiq1ZTSSu27LZX6LyR/Pj/wX9+JP7QGgf8ABVe61W61zVtOHhaw0e4+GlzHmL7NCIo5vPtyOp+2/aMv13R7TwgA/RT4Z/FLwf4zi8NQeJf2rZfFeutawSjQb/xvZ3Y+3tb4kKQRYJdd0oAGcAnivr/4kfsxfAD4wfEfwt8Xfib8KNI1rxL4KnM3hbWL2AtNp8hZX3IQcHDKrDcDtYZGDzXbra2qNvS2jBHQhBXxeI4UxeIxNef1pxjUbdld3T6PVLTZb6H6txR4j5dn3DWT5bSwShPBU3CUtPefuq8bK9ny88r688n2u+b+C3hI+B/hbo3hljLugti7CfG8NI7SEHAGMFyMe1dRRRX2FCkqFGNNfZSX3Kx+Tzk5zcu4Vi/EjSxrnw+1zRH05bxbzSbiCS1cHEyvGysnHPIJHFbVFOrD2tKUL2umvvCEuSSl2PMf2Y/CbaJoeseIpBMrazqKSbZRgYihSIFeM4O335r06iiufL8GsBgqeHTvyq1+5piKzxFeVS1rhXjX7VXgV/G11punDS3Y32nXemLeQKTIi3GwOg6gfcVhkfwnsDXstFZ5pgFmeClh3LlTtr6NP9CsLiHha6qJXtf8hltCLe3jt1JIRAoJ9hin0UV6BznM/Gm+8b6X8HPFmp/DO2ebxJb+Gb+Xw/DHCJGe+W3cwKFbhiZAgweD0r+dv/gkb8Z/id4Z/bcvpfEHx11nwlZ+JLLUJfHmqvrsdk91KqySoZ5LjgyfaWH+3l2HQtX9JVcF8Lf2XP2evgn4y8U/EL4U/CTRtC1rxtfC88U6jY22JNRn3yPvfJIHzSyNhcAlycZr53O8lxGa16M6VZ0+S+1769VZrXpvsfqHBPH2X8K8K5vlVfCKrLGQjGMtLRaunzX1sr80bbTS73Xz58BI/BvxZ8a2jeFvi7J40nt9dsb3VNWXX4NRnjFtKs0UcjxfKifuyACATubByePsCmxwww58qJVz12rinV1ZNlUsqpTjKq6jk7tv0S7v8z87xmLWLnFqPKkrWCvzE/aO+MWveE/BPxj8Q+Ivite6F4+tfjYbTTZJrmCC6swuo26aTHCkvyrC+nJDKHIwUaaQnhiP07rg9W/Zf/Z91348af8AtPax8JtHuPH2l6abDT/FElvm5htyJFKA5xnbLIu4jcFcjOOKzz3Ka2bUacKdTkcZJ3/rquh7nDGcZZlFWpLG0vaJpNJKLvKLuoS5tqc9p2u1o7StZ/LHhbxj8PfiD4pGj6N+0pL461R7WaHT7C48YW2oywo+BI0UUIDZIC5ODwBX2h4L0FPCvg7SfC8buy6bpkFqrSEFiI41TJxxnjtWgltbxtujt0U+qoBT6nJ8lqZXVqVKlZ1JTtq/K/m77njYzGxxUIxjBRUb7efyQVwnxx/Zj+AP7S1votp8efhTpHimPw7qi6joqarAXFrcgY3rgjIIxlTlWwMg4Fd3RXtzhCpFxmk12epz4XFYrBV1Xw9RwmtpRbi100as1poR/ZLUNuFtHnPXYKkooqzAKKKKAIr1ZHs5UhjV3MTBEY8MccA+1eQfsteAE8Oanq+uR2E1oi6faaVDaspCRpbtMwUZGcjzdp57DvXslFefiMAsRj6OJcrez5tO/MrfgdFPEOnh50rfFbX0dwrw/wD4KV+I/ix4R/YJ+K3iT4HyXqeJ7PwddSadNpse64iXAE0kY6h1hMjAjkFcjkCvcKSSNJUaKVAysCGVhkEehrrr03Woypp2umr9rrc3yvGRy7M6GLlTU1TnGTi9pcsk+V+TtZ+R/PJ/wQy+MHifwZ8SPGfgzVP2hdR8EeEbjREvrhIPEdvp8U+orNHHEczA5bymmyF6hRu+6tfrx+ytYeFPH/jrS/FvhH4gHxRDpOo3N7e67Fq0V8bi5a1ktyJpo8qWCTL8owQFXsDn2j4E/swfs+/syeHr/wAKfAP4TaP4W07VNTfUL+10y32rNcsqqXO4k/dVQAOABwBXdRxRxDbFGqj0UYr4/AcKYnDToyq4ltQkpctny3Tvpd/p3P0DxI49wPGnE+JzPCYX2UaqjFXtzO0VG8raXdu+yXYdRRRX2p+YH5VXHxv1bQPhD8L9Y8UfHS/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=", 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", 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", "info": {"equation": "54+96=150", "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+96=150", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "6af61db654c4b57ff6528154027913499fc147479ebdd77e33e7f90f177f6a0d"} +{"episode": 43539, "episode_seed": 855646478, "split": "train", "timestamp": "2025-10-28T03:46:52.843240", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 855646478, "verbose": false, "save_verbose": false, "elicit_verbalization": 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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JO6ONeWGGOv8A8FFPg58LvjT8OvB3w/8Air4Istb0W68dJJPp90GCOyaZqDIcoVYYYA8Guv8A2IPD+h+E/wBmbQPC3hjSYLDTdNvNUtbCxtYwkdvDHqV0iRqB0AUAD6VzZRl9bA8SThUrOo1Tvd9btKz1ex8tic5o1OEXhVzXlUVou3JBRTfNHW/PJtp+7FJX1k5e76xXh3/BSrxN8YvBv7BvxT8T/AJ75PFll4Tnk0yXTIt9zCuVE0kQ671hMrAj5gVBHIFe40EBgVYAgjkGvs69N1qMqadrpq63V1v8j5fK8ZHLszoYuVNVFTnGTjLaXLJPlfk7Wfkz+bX/AIIu/F3xr4B/akuvDtv8c9S8F+F9a0W4l8UXVtr0NjHO0KMbYvJNlSwlkwMfMQ7di1fsr8Bfi+3iXXYdB+Hf7Q1x44uIr6OaaJ/E8GovCrYXD+RjbGQp+8P7xBr3H4F/smfs2/szf23/AMKE+DeieFv+Ejvhd63/AGXbbftUo3bSck4Vd77UGFXccAZNegxwQRHMUKKT12qBXxeE4Sx1GnGLxckk78sb23vpqvy3P0vxM8RMt444onmeFwfs4uEY+9bmdl8UrJq+vKtX7sY+ifRRRX3J+TH5pf8ABz14o+MuifsdeFdD8Dy38XhPV/Fvk+NpLOP924SPzLSKZhysZlVmA+6XjTPIUH5e/wCCH3xp1bQ/gV4q8IeOP2o9Q8F6Hp2vxN4c02LxXaacjvLG7XTqso3vyIcnoCcDnNftd8U/hX8O/jd8P9U+FXxZ8IWeveHdatxDqmk38e6K4QMGAOMEEMqsCCCCoIIIBqL4VfBz4XfA/wCH+m/Cv4S+BtP0Hw9o8TR6bpVjDiKBWdnbGckkszMSSSSxJJJr5PMuHcVjs0eKp4h004paXuvJarR7779D9ewviTluH8Kf9VJYJSq+29p7TS1r83Ntf2n/AC72t7Pr0Pz2sPBPwO8H/G/4P/Ev9mufTNS8fax8XYUk8R6RdQ6jqGu2Vy7jXnu5wWaaNbUyyO54hdYguzcFb9Lq+Ivgn8Avgv4V/blh+N/h34b6baeLtb+Jfie31TX40YzzxCPVRs5JCj91HnaBnYM5r7do4RoSoYSsnJv95Ja+Vlf59T5Hi3NaeY/VYRlKbhT1lP4m5NvlWsvch9m7u25StG/KivwV/wCDm/xP8ZL/APbb0Twl4wlv18HWHhGCbwdBJHttWklY/bJEI4eQyIisT8wCRjgYz+9VfKv/AAUY+A3wc+PXjjwFpPxl+Hen+I7XS9G1280+31FWKQziXTF3gKwzwSMHIPcVvxbSdTI6jTtytP11Ss/vv8j3fCLi/CcE8a0syxND2seWcbK3NHmXxRvpfSz1XuykfJ/7Hvxh0L4kfsReDtD/AGi/2y76K41Pwu1nrvh27+IVnZxtZbpIo7d402vGjWwjUjcGIY5IJNe9fsJ6B4P+G/7b+t/Dv9nbS7PTvBlx8L4tQ8a6P4et4hplrqouoI9LmOziK5ms/teQMGSOCJ2zwx93udN064/4J8yW81hCyP8ABsqyGMYIOk4xXAf8E4/gX8H/AIAeJ/G3hL4L/D7T/DmnXWjaHd3Nrp6tiWdpNSUyMzlmY7VUcngDivDw+VYjA59hPaV5T5lJ630SW270dzGtxPhsVgszqqm6arSdqUbeyXPO93qtaenIlHdJ8y5bP6oooor9BPzg8f1T4N/sSXn7Xtl8U9X8PeCG+NSaPmxnmvoRrJsxG8Xmrbl9zKI/MTzdhIUFd2BgeuLa2qMGS2jBHQhBX8xf7SPxj/ap0H/gqF4p+J3iDxfrWjfEnTviLPBa37yLbz2SLKYII03fIkQtyiKD8hjPOVJJ/ZzwT8dPCZ8TR2Gg/tnXXiG7vA1vb6TcePbO685m/uRxgOX442nPWvhYcZYOhKrGVBp8z2tr5y2s++5+0eIvhpmHC1DLJ1cesQq1FNXbfJaz5Yav9373uPS/vaI+3KKxfh5c63eeCdNuvEQf7Y9uDMZBhjycFgehIwT71tV9rQqqvQjUStzJOz3V1fU/GqkPZzcezsFFFFakH86v/BwT4s+NWqf8FNPEml/EO41FNO0ew0+PwJDNGUjTT2gRy8AHDBrk3GX5JZSp+6AP3q/ZQ1f4oeIP2Yfh5rvxttriHxjeeCtMm8UxXduIZV1BrWMzh0HCN5hbKjocivmf/gpN8Bfg18XfivP4r+J3w507XNQ8LfDSS68P3N+jMbKbzrpt6qGCsd0aHDAj5Rx1r7TsSWsoWY5JiXJP0r5LJMO6We468m9Y/wDk13+Gy8j9e4747wPE3BOSZXRwipTwsHGUtNWlGPu21tK3PO/2u9ruWvzq/wCDmHxP8YtA/YQ0zTvh5NfxeH9V8YW9t43lso8qbTy3eFJmHKxtcLF7FginqAf0VryL9uvwl4b8efsu+IfBXjHR4tQ0rVbzSrXUbGfOyeF9TtVdDgg4IJHBBr285pOtlVeCdvdf4K/47HxXBGeUeG+LsFmdakqsaVSMnF9VfpfTmW8f7yR+QX/BDr45+J9I+FHjDwL47/ao1Twd4Z0nVLZ/DGmr4ttbCLzphM12UWYFiMiFiB8oLEjlmr9Mf2YdD8I/EDxfofiPwZ43/wCEitNH1i51G61u21SK9+03TQTxP50yZUuftBJAweB2rp/+Cenwp+G/wh+G3iv4e/DLwXYaLomn+NW+x6dZxYSPfpunuxyxJJLMxJJJya+gI444l2xRqo9FGK+Tybh6tXoYbFTxMnFcs1C2itqkve0+7Y93xA4vwvEnFeOx+HwypRrSdlpe1lG8rL4pW5pav3m9XuOooor74/OT+f8A/wCDlDxZ8aLz/goRH4e8aXGoReGdI8MWUngON0KQCORFa6miI4Zzcq6s33v3SDoq19h/ss/tBWvxB/Za8Hah+0P+21fza1q/huM+J9G1b4gWMaTB9wMM0XDANEVDKSGwxyQc199fHP8AZP8A2cP2mL/QNT+PXwe0XxTceF7w3Wgy6rblzaSkoWxgjcrGNMo2VbaMg4rvzZ2hOTaxk/7gr4yvwvjK2PrV44pwU3fS9/R6rRbLfQ/YeI/EzLM64FynIqeBUamDTUp6Welvd0b9/wCOpe3vpb7nlP7LvhEWJ1zx7ulI1pbSCPdjy2SASkOnHOTORnJHyjHQ161QAAMAUV9LluCWXYGGGUr8q32vrc/JcTXeJryqNWuFfk944+Nvifw7+xpqfjXxN8Xb/RvitL8SzHqtxc3VvDqFr4h/tpUe08uTKxRx26qqjGFtUSQHb85/WGvO0/ZM/Zuj/aBk/apT4N6IPiHLZfZZPFf2b/Smi8oRdc7d3lgR78btny5xxXnZ9k9bN40lTqcnJK//AAV5rp6vU+m4XzvKsojVWNo+0TcJxsou8qfN+7lfanU5vfau/dXuvp8t6F8Sfhj4r8V2Onx/tXv4yu47l30jSNQ8cWl7++Mbp5kcUeGaQRvIvfCu3HcfXPwI8HN4D+FemeHX84Nvubp1nADq1xcSXBUgAYwZSAOoA55rq1tbVGDJbRgjoQgqSoynIqmW4uWIq13UlJcuq6Xvu2zw8Xj44miqcYKKTvp/wyCiiivojzgooooAKKKKACiiigDwnwV8N2m/aHXVTpUlmuja5qGqssKkRvJcRXMZZiwOQ5uXfgjJ6cAivdqKK83K8uWW0ZwUubmk5XfmdOKxLxM1K1rJL7gr4p+Onju5039vDxvZfF/xc2m6RpPw80yfwZBqdwlvZDTnaZ9Uuo2YgO4migWZjyiRw52qQW+1q89+P37KP7OX7U1po9j+0L8ING8WRaBem70dNWgL/ZpWADFcEZVgq7kOVbauQcCsc9y2rmuXvD058run5O3R/wBb2PX4czHL8uxk/rsW6c4uLcUnOPvRkpRUmlf3eV6r3ZS16P4B/Za+Ovhfxf8Asz+H4vin+2zqQF3ZXNvLo+qeObC0Emmi4mjtoprcKDGGtBCGThsMc4Oa+4P2VvC0ME+t/EG2d2h1ezsbW2ZSDE8UBuHV0IHzA/aSM5IOBjoc+trYWKKESziAUYAEYwBUoAAwBgDsK87L+HK2Dx0MTVxMqnImkmu6t1k/6sTmuc0Mwq1nRoKlGpJystopu6SsltsvIKKKK+pPBPO7/wDZM/Zu1P8AaAt/2qNQ+DmizfEK1s/stv4qe3JuUi8tovXaW8tmTeRu2nbnAAr0BbW1RgyW0YI6EIKkoqIU6dO/Kkru7t1fd+Z04jGYvFqCr1JT5IqMeZt8sVtFX2iruyWiCiiirOYKKKKAPDP2pPh3/wAJv4nTTF0mQNrmhNpLX1spMhR2kymTlRt8xmHHck5Ar3GCIQwJCDkIgXn2FOorzcHl0cJjK+I5ruq07drK3zOmtiXWo06drct/ncK+Yv8AgpR4l1/QB8JrW91u603wZe/EiJPGF3EQkBZLSeXT4rmQkeXC98luOSAziNSfmAP07WH8Svhr4D+MXgPVfhh8T/Ctprfh/W7NrXVdKv490VxE3VSOoOQCCMEEAgggGtcyws8dgalCMuVyVr/107+R2ZJjsPl2aU69eHNBXTWjdpRcbxvpzRvzRvpzJH52eGfj5o1r+1J8U/CbftdXvhjQNNTRfLsLTxZZWECau1vKl6ilwWkZYobIOCTscsvBBA+rv2VfiPf+OdVtG8NfFCTxfpEFvJBd6r/a0d6rFASN8sXyGQMwHY4PPSvVvg/8DvhH8APh7YfCj4NeANO8PeHdM8z7DpVhDiOIu7SOfmyWLOzMSSSSa6mOOOJdsUaqPRRivm8BwxjMLUpTni5NQafKr206L3tum23Q9LOc6y/GYmp9VocsGlFN2UnyxUeaSV0pStzNKTtJ/E926iiivsT5gKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACuQ+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", "info": {"equation": "58-46=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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JO6ONeWGGOv8A8FFPg58LvjT8OvB3w/8Air4Istb0W68dJJPp90GCOyaZqDIcoVYYYA8Guv8A2IPD+h+E/wBmbQPC3hjSYLDTdNvNUtbCxtYwkdvDHqV0iRqB0AUAD6VzZRl9bA8SThUrOo1Tvd9btKz1ex8tic5o1OEXhVzXlUVou3JBRTfNHW/PJtp+7FJX1k5e76xXh3/BSrxN8YvBv7BvxT8T/AJ75PFll4Tnk0yXTIt9zCuVE0kQ671hMrAj5gVBHIFe40EBgVYAgjkGvs69N1qMqadrpq63V1v8j5fK8ZHLszoYuVNVFTnGTjLaXLJPlfk7Wfkz+bX/AIIu/F3xr4B/akuvDtv8c9S8F+F9a0W4l8UXVtr0NjHO0KMbYvJNlSwlkwMfMQ7di1fsr8Bfi+3iXXYdB+Hf7Q1x44uIr6OaaJ/E8GovCrYXD+RjbGQp+8P7xBr3H4F/smfs2/szf23/AMKE+DeieFv+Ejvhd63/AGXbbftUo3bSck4Vd77UGFXccAZNegxwQRHMUKKT12qBXxeE4Sx1GnGLxckk78sb23vpqvy3P0vxM8RMt444onmeFwfs4uEY+9bmdl8UrJq+vKtX7sY+ifRRRX3J+TH5pf8ABz14o+MuifsdeFdD8Dy38XhPV/Fvk+NpLOP924SPzLSKZhysZlVmA+6XjTPIUH5e/wCCH3xp1bQ/gV4q8IeOP2o9Q8F6Hp2vxN4c02LxXaacjvLG7XTqso3vyIcnoCcDnNftd8U/hX8O/jd8P9U+FXxZ8IWeveHdatxDqmk38e6K4QMGAOMEEMqsCCCCoIIIBqL4VfBz4XfA/wCH+m/Cv4S+BtP0Hw9o8TR6bpVjDiKBWdnbGckkszMSSSSxJJJr5PMuHcVjs0eKp4h004paXuvJarR7779D9ewviTluH8Kf9VJYJSq+29p7TS1r83Ntf2n/AC72t7Pr0Pz2sPBPwO8H/G/4P/Ev9mufTNS8fax8XYUk8R6RdQ6jqGu2Vy7jXnu5wWaaNbUyyO54hdYguzcFb9Lq+Ivgn8Avgv4V/blh+N/h34b6baeLtb+Jfie31TX40YzzxCPVRs5JCj91HnaBnYM5r7do4RoSoYSsnJv95Ja+Vlf59T5Hi3NaeY/VYRlKbhT1lP4m5NvlWsvch9m7u25StG/KivwV/wCDm/xP8ZL/APbb0Twl4wlv18HWHhGCbwdBJHttWklY/bJEI4eQyIisT8wCRjgYz+9VfKv/AAUY+A3wc+PXjjwFpPxl+Hen+I7XS9G1280+31FWKQziXTF3gKwzwSMHIPcVvxbSdTI6jTtytP11Ss/vv8j3fCLi/CcE8a0syxND2seWcbK3NHmXxRvpfSz1XuykfJ/7Hvxh0L4kfsReDtD/AGi/2y76K41Pwu1nrvh27+IVnZxtZbpIo7d402vGjWwjUjcGIY5IJNe9fsJ6B4P+G/7b+t/Dv9nbS7PTvBlx8L4tQ8a6P4et4hplrqouoI9LmOziK5ms/teQMGSOCJ2zwx93udN064/4J8yW81hCyP8ABsqyGMYIOk4xXAf8E4/gX8H/AIAeJ/G3hL4L/D7T/DmnXWjaHd3Nrp6tiWdpNSUyMzlmY7VUcngDivDw+VYjA59hPaV5T5lJ630SW270dzGtxPhsVgszqqm6arSdqUbeyXPO93qtaenIlHdJ8y5bP6oooor9BPzg8f1T4N/sSXn7Xtl8U9X8PeCG+NSaPmxnmvoRrJsxG8Xmrbl9zKI/MTzdhIUFd2BgeuLa2qMGS2jBHQhBX8xf7SPxj/ap0H/gqF4p+J3iDxfrWjfEnTviLPBa37yLbz2SLKYII03fIkQtyiKD8hjPOVJJ/ZzwT8dPCZ8TR2Gg/tnXXiG7vA1vb6TcePbO685m/uRxgOX442nPWvhYcZYOhKrGVBp8z2tr5y2s++5+0eIvhpmHC1DLJ1cesQq1FNXbfJaz5Yav9373uPS/vaI+3KKxfh5c63eeCdNuvEQf7Y9uDMZBhjycFgehIwT71tV9rQqqvQjUStzJOz3V1fU/GqkPZzcezsFFFFakH86v/BwT4s+NWqf8FNPEml/EO41FNO0ew0+PwJDNGUjTT2gRy8AHDBrk3GX5JZSp+6AP3q/ZQ1f4oeIP2Yfh5rvxttriHxjeeCtMm8UxXduIZV1BrWMzh0HCN5hbKjocivmf/gpN8Bfg18XfivP4r+J3w507XNQ8LfDSS68P3N+jMbKbzrpt6qGCsd0aHDAj5Rx1r7TsSWsoWY5JiXJP0r5LJMO6We468m9Y/wDk13+Gy8j9e4747wPE3BOSZXRwipTwsHGUtNWlGPu21tK3PO/2u9ruWvzq/wCDmHxP8YtA/YQ0zTvh5NfxeH9V8YW9t43lso8qbTy3eFJmHKxtcLF7FginqAf0VryL9uvwl4b8efsu+IfBXjHR4tQ0rVbzSrXUbGfOyeF9TtVdDgg4IJHBBr285pOtlVeCdvdf4K/47HxXBGeUeG+LsFmdakqsaVSMnF9VfpfTmW8f7yR+QX/BDr45+J9I+FHjDwL47/ao1Twd4Z0nVLZ/DGmr4ttbCLzphM12UWYFiMiFiB8oLEjlmr9Mf2YdD8I/EDxfofiPwZ43/wCEitNH1i51G61u21SK9+03TQTxP50yZUuftBJAweB2rp/+Cenwp+G/wh+G3iv4e/DLwXYaLomn+NW+x6dZxYSPfpunuxyxJJLMxJJJya+gI444l2xRqo9FGK+Tybh6tXoYbFTxMnFcs1C2itqkve0+7Y93xA4vwvEnFeOx+HwypRrSdlpe1lG8rL4pW5pav3m9XuOooor74/OT+f8A/wCDlDxZ8aLz/goRH4e8aXGoReGdI8MWUngON0KQCORFa6miI4Zzcq6s33v3SDoq19h/ss/tBWvxB/Za8Hah+0P+21fza1q/huM+J9G1b4gWMaTB9wMM0XDANEVDKSGwxyQc199fHP8AZP8A2cP2mL/QNT+PXwe0XxTceF7w3Wgy6rblzaSkoWxgjcrGNMo2VbaMg4rvzZ2hOTaxk/7gr4yvwvjK2PrV44pwU3fS9/R6rRbLfQ/YeI/EzLM64FynIqeBUamDTUp6Welvd0b9/wCOpe3vpb7nlP7LvhEWJ1zx7ulI1pbSCPdjy2SASkOnHOTORnJHyjHQ161QAAMAUV9LluCWXYGGGUr8q32vrc/JcTXeJryqNWuFfk944+Nvifw7+xpqfjXxN8Xb/RvitL8SzHqtxc3VvDqFr4h/tpUe08uTKxRx26qqjGFtUSQHb85/WGvO0/ZM/Zuj/aBk/apT4N6IPiHLZfZZPFf2b/Smi8oRdc7d3lgR78btny5xxXnZ9k9bN40lTqcnJK//AAV5rp6vU+m4XzvKsojVWNo+0TcJxsou8qfN+7lfanU5vfau/dXuvp8t6F8Sfhj4r8V2Onx/tXv4yu47l30jSNQ8cWl7++Mbp5kcUeGaQRvIvfCu3HcfXPwI8HN4D+FemeHX84Nvubp1nADq1xcSXBUgAYwZSAOoA55rq1tbVGDJbRgjoQgqSoynIqmW4uWIq13UlJcuq6Xvu2zw8Xj44miqcYKKTvp/wyCiiivojzgooooAKKKKACiiigDwnwV8N2m/aHXVTpUlmuja5qGqssKkRvJcRXMZZiwOQ5uXfgjJ6cAivdqKK83K8uWW0ZwUubmk5XfmdOKxLxM1K1rJL7gr4p+Onju5039vDxvZfF/xc2m6RpPw80yfwZBqdwlvZDTnaZ9Uuo2YgO4migWZjyiRw52qQW+1q89+P37KP7OX7U1po9j+0L8ING8WRaBem70dNWgL/ZpWADFcEZVgq7kOVbauQcCsc9y2rmuXvD058run5O3R/wBb2PX4czHL8uxk/rsW6c4uLcUnOPvRkpRUmlf3eV6r3ZS16P4B/Za+Ovhfxf8Asz+H4vin+2zqQF3ZXNvLo+qeObC0Emmi4mjtoprcKDGGtBCGThsMc4Oa+4P2VvC0ME+t/EG2d2h1ezsbW2ZSDE8UBuHV0IHzA/aSM5IOBjoc+trYWKKESziAUYAEYwBUoAAwBgDsK87L+HK2Dx0MTVxMqnImkmu6t1k/6sTmuc0Mwq1nRoKlGpJystopu6SsltsvIKKKK+pPBPO7/wDZM/Zu1P8AaAt/2qNQ+DmizfEK1s/stv4qe3JuUi8tovXaW8tmTeRu2nbnAAr0BbW1RgyW0YI6EIKkoqIU6dO/Kkru7t1fd+Z04jGYvFqCr1JT5IqMeZt8sVtFX2iruyWiCiiirOYKKKKAPDP2pPh3/wAJv4nTTF0mQNrmhNpLX1spMhR2kymTlRt8xmHHck5Ar3GCIQwJCDkIgXn2FOorzcHl0cJjK+I5ruq07drK3zOmtiXWo06drct/ncK+Yv8AgpR4l1/QB8JrW91u603wZe/EiJPGF3EQkBZLSeXT4rmQkeXC98luOSAziNSfmAP07WH8Svhr4D+MXgPVfhh8T/Ctprfh/W7NrXVdKv490VxE3VSOoOQCCMEEAgggGtcyws8dgalCMuVyVr/107+R2ZJjsPl2aU69eHNBXTWjdpRcbxvpzRvzRvpzJH52eGfj5o1r+1J8U/CbftdXvhjQNNTRfLsLTxZZWECau1vKl6ilwWkZYobIOCTscsvBBA+rv2VfiPf+OdVtG8NfFCTxfpEFvJBd6r/a0d6rFASN8sXyGQMwHY4PPSvVvg/8DvhH8APh7YfCj4NeANO8PeHdM8z7DpVhDiOIu7SOfmyWLOzMSSSSa6mOOOJdsUaqPRRivm8BwxjMLUpTni5NQafKr206L3tum23Q9LOc6y/GYmp9VocsGlFN2UnyxUeaSV0pStzNKTtJ/E926iiivsT5gKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACuQ+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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", 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", "info": {"equation": "58-46=12", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "2a3b9918527f737ca8a6326b1a3ccff751cc526049d6fd03a96391d44c2652a1"} +{"episode": 43540, "episode_seed": 2363619004, "split": "train", "timestamp": "2025-10-28T03:46:52.893789", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 2363619004, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 7, 1])", "action": "('move', [2, 7, 7, 1])", "reward": 0.0, "image": 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", "info": {"equation": "42-24=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": "42-24=18", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "84a2158169e567eccd2f6dd0b2262be96f0a6533be933e6a411a34edf8cb143b"} +{"episode": 43541, "episode_seed": 1702687986, "split": "train", "timestamp": "2025-10-28T03:46:52.963889", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 1702687986, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 0, 3, 4])", "action": "('move', [2, 0, 3, 4])", "reward": 0.0, "image": 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", 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", 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FtVJ77gp4Y193Vh/Er4beBPjD4D1X4YfE7wva61oGuWbWuq6XeoTFcRN1U4wR2IIIIIBBBFfa5hhpYzBVKEXZyTV/U/OOEc6o8OcT4PNK1P2kaFSE3HuotN2vpfqr9bH5If8ABIj4p+LF/ZE8HeJPH/xLuLI6b8RZtL0a/u9Sji2WiaY0VvZh2/gJJjVD8xBAH8Nfrh8OLjV7vwNplxrpc3T2qmUy53H0Jz3IwTXgvg/wL4Q+G/7UOjfDvwL4etdL0PQ76Cy0nTLWPEVrbxeHnSONR6BQB619K181wvllXCVa05VXLlk4W6XVve3+R3ca55Qz/O6+OpUVTjWnKolpopybUdO19fMKKKK+xPjz8Pv2MvF/7RGo/wDByZ4qufEK6lJfXHirxJY+IhPbAmPQ4oJRaBs/ciCxWGxh1/d4zu5/cGvl/wAIfCf4baZ/wUa174zWHg2yi8VapJLp+oa6qnz5rWPSrIpCSTgKCq9ACdoznAr6gr5/h2i6NGvFyb/ez39Uv+CfoniRxXheLsfgq9DDqiqWGo0mlbVwTu1bpryx68qW2x+Xn/B0rrnxJsP2XPh7ougNdp4Xv/Gc3/CRtDH+6a4S3LWiSMOgObhgvQlAeqisn9j7XvhZ8ef2QPhh4O/aV+PFt4qmXQ7Z5PAniTxZaSWitCsiW4eyGC3lwBWCvnaQGI3KCPuj9v34X/D74yfBrTPh78UfCltreiX3iq0N3pt5u8uUpHM652kHhlU9e1cj8dfhH8Mvin+w38Pvhn8QvBNjqmgXkOgR3OlTIVidY7dWRfkKkAMikYI6elfPZ9l1bEZhiqkazio0lJpbNarl3Wml+u57OC41wUuCMryP2LhOjiJzdaNuZKVtY6xbl71mnKKtCHvdu7/4J96jreqfsc+BrvWry7uVGnTRaTdXygSz6YlzMlhIx/i3Wa27BurAhjya9kri/wBnG0tdP/Z+8EafYWyQwW/hPT4oIYlCrGi26BVAHQAAAD2rtK+4wUXDB04t3tFa/I/Mc0xUcbmdfERjyqc5St2vJu3yuePftja7oXhDwKnjPUhmbTYbiYRgLmWNY9xXJI5LBAB3Ldq1/wBj6DSIf2avCM2khg9zpf2nU/MjRXOoSOz3m8IzAP8AaWmDAM2CCMnGa4H412KfHz466B8KYFkfTIbp7rVHUgAQ2REp6owIa7a0QjglQxB7V0/7JMGq+HLfxT4H1AL9ng1+S/04B1zGLgbp4toUEYuVmkyd2fPHPGB8vl+Jpy4jq1eVctW8Yvu6ajf79fWx1YilJZbGF9Y2bXlK9v68z2GiiivsTxj8dP8Ag6p1/wCJkOsfB/w9BLeJ4TaLUrpRGn7l9TVoVBYjrIsTfKD0Ej46mv1Y/Zx1Hxzq/wCz14D1b4nRTR+JbrwZpc3iFLiERyLfNaRGcMg4VvML5A6HivG/+Clvwm+Gvxg8DeGtE+KHgyy1yz06/vtSsra+VikV3DYy+XLgEZK7jwcg55Br6N0RmfRbNmOSbWMk/wDARXz+ApOGf4uXM3dU9Pk/8vxP0TiDivC5pwDlGTQw6jPCyruU9Pe55Jq3X/FfdpWON/al1Txxof7NHxB1r4Ztdr4itPBWqTaG1hD5k63a2shiMa/xOHC7R3OK+V/g14/8Zp4c+Lifs2eIbnVoNK+ANjdeHJLFY7kLrH2fUGsdjjJeaSIQuUJOQYmx84J+5D04r5f/AOCaHwl+Gvwg0DxLpHwx8F2WiW2pwaXqWoRWSkfaLuWKXzJmLEksdo9hgAAVGZUJVM8wklJrSotP8O/4/gePk2Z4HB5NXjVoqdSMoSjdJxd5RupddFG0Ur/HK9uvwr/wata58Sb3X/jNY3zXc3h2RNMuri4njyp1NnuAT5h5LtHksPYE9s/sVXy9/wAE1/hN8NvhLZeKrP4a+DLLRo9Zt9L1TVFs1b/SryUXPmTOWJJY7R7DHAFfUNa8MwdPJKSvff8A9KZ6PidxLhuLuNsVmtCj7KFTktHS/uwjG7tpd2uec/Fj4a/sweLvi34A8V/GXRvC9x4z0W9un+HMus3UaXizmNTP9kRmBmYKqMQA23aG4IBr0OO3giO6KBFPqqgV+HH/AAcM/Ej48+Ef+Cnvw91PQfEeqaTD4f8AD2m3ngK9t3ES29y93IZpomPy7/MRAxbsiBvlxn9F/wBnD4t2viPx9beH/BP7Slz43na6ilurKXxXb6i0EQJVm2wgFUIY5J4yB0xXn1OKMLhsyqYaVF83MldJa7K7/TfSx6HEnA2LyrhjKMxli1UjiaU5qDb/AHdpX5Y6vR813t7/AD+p9Z0UUV9cfmR89f8ABWDXPiT4b/4JyfF/WfhK92mtxeD5gkljHuljtmdFunXuNtsZm3DlQCRyBXyV/wAGt2qeP7r9kTx3pmtxT/8ACO2vjvOgSSQgIZntYjcqjdWAxCSOgLH1Nfop8aoIbr4N+Lba4jDxyeGb9XRujA28gIryv/gnl8Lfh58Gvg7rHw++FnhG00PRbPxQ722nWQbYjSWVm7nLEkksxJJJ618/iaLfElCpzP4J6dNGv/kvwR+iZdxXhcL4ZY7h+WHTqVa9OoqmmiS1Xe65bR6WnPbr71X4L/8ABQ34lfGvw7/wcBW2tax421Hw8dL8Q6LY6Dq32iO2+xaHLbRrM0UknyJGVnvCXPRnkPUcfvRXy78W/hJ8NNY/4KEeGPjHq3gqxuPFGlWum6fputyoTNb20i6iXjXnaASzc4z8xGcE1nxPh54nCUoRm4v2kNV5u1+m17/Irw24swnCOPxtbEYdVlWw1Wkk7aOSTTd/su1pdbN+j8I1c/CTWPiX4U+Mvw6+KUfjP4kQeP8Aw7p2k+JB4gg1TUo7eS98uaxRkP7u3ayl1FpIwAChlkOSgZf0Zr5d+NPwi+GOq/t9eEPi/qXgiwm8T6La6VZ6TrTxnzrSCWXUPMROdo3bmBOM4YjOCa+oqnhvCzwn1mnOo5tVLXfX3Yu+73v+B8/n+ZU8dg8HTjduEHdy6XdlCOr9yKjeO2spe6uvg3/BQbW9Y0T4ZeEjFqdxZ6Nc/ErR4PE9zCAEW0LSNEsrn7kT3i2cbHjO/b0Y18V/8FEfiF8ZL3/gjZ8T9Q8EapqFzok3xaudPGoW8CYfQDfgTBXT70H20yQ7+dy/KSVJNff37ZXhTw547/Zq8T+C/F+jxahpWqxW1rqNjPnZPC91CrocEHBBI4INeY2fwr+HNr/wTbv/AIM2vg+zj8KiO+0saHGrLCLM6tLGYeDuxsJGc575zzXNmmGlUzas+dq+Hl+Z9DwnxHluRxwOJq4f2k6OJhJqys4KSm3ffnuuVX0SSPN/+DdrVPiBqX/BMbw3F43inW0tPEWqweGWnhCb9PE+7Kn+NfPa5AY/3SOgFfcteVfsVeDfC3w8/Z00fwL4H0K30zR9J1DU7XTdPtVIjt4V1C4CouSTx6kknqSTXqte9k8XDKqCvf3I/kj5vjDNqWe8VY7MaVP2catWc1HsnJvW2l+/nc/Oj9qL4u6p4R+JPjq78RfGC98MeIo/jloen6fcHULe1ltdKeKyCrCZchIGs2vZDJj73nHOVOPZP2Z5/CHxQ+JVlqfhv4yS+Np9Nv47q/1M+IINRlhVIpRFE7xDCJl3IBAJLNya+gdQ/Z7+Ceq/G2z/AGj9S+GulzeObDRW0iz8TSQZuYrJmZjCDnGMu/OMgOwBwSK7COGGHPlRKueu1cV4MOGMR9fdeeIfL7Tn5bOz1ur62v02eh1Zpn+XYnDUqeGocslBKTaS97lUWo23guW6vZ3lK/duooor68+SPKZvBRvP2oIvEQsHhFrH9taaNTtnJtGtQWJ9nI4x9we+fVqKK4sFg1g/aWlfnnKXpfp8jevWdbl0tZJfcFFFFdpgeU6P4Jab9py+8TNYPALWF7kvGDsmaSCKEMxPU7Uxxj7nsa9WooriwODWCjNKV+aUpf8AgTvb5G9es67i7WskvuPm/wDbo8SX2h/E/wCE1prOtyWHhm41LWHvJJHWO2l1JLLNpHNIxGP3LXzqucFogeqivnH9lj4w+FvH/wAOvCkOvftTXXiC/klnGkeGb/xZaPujSeZLPbaRgPvFuIiq9e5Ga+8vjZ8CvhF+0d8Prn4VfHHwDYeJfD15NFNcaXqKExtJE4dGypBBDAcgjuOhIrpLLStM022is9P06CCKCNY4I4YgqxqowFUAcAAYArwMz4bxOY4+pWjiHCMklZXd7aNPVadfmz6WGe5dSyOjhlQvWg9ZNJKyc5Jp6tuXPaV0rKnCzd7RzPhr4eHhL4d6F4WBkP8AZ2kW1tmXG75I1XnAHPFbdFFfU04KnTUF0Vj5ST5pNnP+Efh7pvhDW9W1uzuWkfVLjzNjKAIVySVHr8zE5+npknhT4e6b4T8Qat4gtLl5H1SbfsZQBEMlioPfLEn8vqegormhl+CpcnLBLkbcfJyvf77s1liK0ua8t0k/lt+QUUUV2GJ5d+1J4SPi/wAN6dpy6c8pluZbZZ4lJeEzRNH8vbkMRyDzivTLK2FnZQ2akkRRKgJ6nAxUtFcVHBqjjauI5r+05dO3KmvxubzrOdCFO3w3/E4P9qXVPHGh/s0fEHWvhm12viK08FapNobWEPmTrdrayGIxr/E4cLtHc4r4Q0H42eA9H+M//CMeHP2srjwz4di+GOiTxLYeLrOzjuJXluPJkLyZaSRrcKxGeFKN/GCf0rrjPg1+zv8ABD9nrQtQ8M/BT4Y6T4bsNV1ibVdQtdNt9qT3ku0SSnOeSFUYHACgAADFeVnOS4jM8TSq0qzp8qa0vfW21mvnqe/lecZdgsor4etR56kneDsra2vzN6+6o+5ZPWUr268d+x5oGiweGr3xd4cv1utO1G2s7fT7mGdZYZoIVkKSI65Dg+afmBIOOO9eyUiqqKFRQAOgApa9TLcEsuwMMPzc3L12vrc8DE1/rNeVS1rnHePv2ffgr8UvH/hX4p/EP4baZq/iHwRcTT+FNWvId0umyShRI0ZzjnYp5BwVBGCM110dvBEd0UCKfVVAp9FdihCLbS1e/n6iqYjEVqcKdSbcYK0U22opttpLom23ZdW3uwoooqjEzfGVgNV8I6rpbWa3AudNniNu2cSho2G0455zj8a439mjw03h/wAC3d06SodT1Z7rZKMbQIYYBgYzjEIPPcmvRKK4p4NTx8MVzfDGUberTv8AgbxruOHlStu07+lwr86/2sfi3qvhD4k/EW78Q/Fy88M+IIPjJ4bsNHuDfwWstrpckVhsEJlyqwvbtqLmTH3hOc5Q7f0UrjdV/Z7+CmufGrTv2jNX+Gul3HjjSdIk0vTfEssGbm3s3LFolOcYO9+cZAdgDhiDx53llbNcPCnTqcjUlK/pf8VuvNHt8OZrl+VV6s8XS9onGyVk/eUoySd/sytyytrZ6J7P57/ZvuPB/wAVPiVZXnhv40S+N59Ov4bm+1JvEUGoy26RLK0UTtEMRx7mcgEAks2DX1tTY4YYc+VEq567VxTqvJ8rlldCcJ1HUcpczb32S7vt3PIxmKWKmmo8qStb+rHg3/BQbXNX0P4ZeEmi1O4stFuviVo8Hie5hACLaFpGhWVz9yJ71bONjxnft6Ma+V/hJ8avBPiTUvFeh+Jf2sJP7Pg+I+o22jeF5/GFlDaywLMjeUIBh3T7UZwDnL4HJ4r9B/iL8O/BHxb8C6r8M/iT4atdY0HXLF7PVdLvE3R3MLjDKccj2IIIOCCCM0eA/h14F+GHgzSvh38P/C1npWiaHYRWWk6daQhY7aCNQqIvfgAcnJPUkmvNzbh/E5lj/bwxDppx5dL93putH+Z7+FzvLsPkSw0qHNWUt7Ll5d731fPf3drcvW5lfAnw63hj4X6fp8glDTTXN26zDDAz3Ek2MYHHz8e1dfRRX0OFoLDYaFFO/Kkr+isfM1Z+1qyn3bf3hRRRW5mFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFeRj9uL9m8/thH9hMeNJ/+FjDw9/a507+zJ/s3l7fM8j7Tt8r7T5P7/yN2/yvnxt5r1yvzrT4QfGUf8Fx2J+EviX+wf8AhOT8RP8AhOf7Lf8Asj+zD4FXw79j+1fc+1fbgf8AR87vL/eYxzQB+ilFFFAHA/tP/tK/Cn9kD4E+If2jfjbqV7aeGPDFqtxqk2nabLeThWkWNQkMSs7ks6jgYAySQASOy8Pa7p3ijw/Y+JtIkZ7TUbOK6tXdCpaORA6kg8g4I4rwz/gqnr82gf8ABOL41rZeEfEWvXmqfDjVdH03SPCugXGp31zd31u9nAqW9urSMvmzoXYAhEDOcKpNegfsp+L7Xx7+zR4D8W2Whazpkd54TsSNP8Q6RNYX1uVgVSk1vMqyQuCpyrAEUAd/RRRQB5J8Kv23f2ffjL+0f41/ZS8F69qn/CaeA7ZbnWLHUtAurSG4gMpgea0mmjWO7jjmHku8RZVk+UnNet18XfswfEu8+Nn/AAVy+NfiXx38MfHeg3fgbwnB4M8AT6r4IvbXSL7SIrmK51C/j1GSMW9xLcXs0aRxI5IhsN+DvbH2jQAV5Z+19+2N8E/2HfhOfjV8e7rWodBS9FvNNoXh261OWEeXJK80kdsjtHDHFFJJJKwCIqEk9M+p18g/8FxYY/EP/BPfxh8L4fh18VPEepeL7SbTPDdv8J9PnublNXNvLJYrerCc/YJJ0jim8wNCVk2yDaxNAH1tpWqadrml22t6RdpcWl5bpPazxnKyRuoZWHsQQfxqxWL8NoPElr8OtAtfGNrbwavHotquqw2iBYo7kQqJVQLwFD7gAOMYraoAK86+EP7VHwY+OnxW+JHwY+GviGa+1z4Ua1aaV4zQ2jpFbXdxarcpGkhG2UiNgG252sCp5Fei1+eX/BFf4Wftd/Cb9pH9pLT/ANqX9nIeELnWtY0TVJfEcPiIX8HiHUJo7uW5uImWCNSG81WKqz+TuWEklNxAP0NooooA8m/aM/bM+E37MXjnwJ8OPHmheL9T1j4iajNaeHrPwl4Ru9WZPJe3Wae4+zI32eBDcw7pXwihskjFes18L/8ABaDwv4w1PUvg/wCKfgd4Y+L8vxZ0zxWkHw21n4cQTHSbSafUdL+2xa48XypZSWsMhIm/csIpM/OEFfdFABTZpobaF7i4lWOONSzu7YCgckknoKdXOfGLwxq/jb4ReKvBmgTCO/1fw5fWVlIzYCzS27xoSe2GYc0Acp+yn+158E/20Ph9d/FH4Dapql7odpq8tgl7qehXNiLsoqOtxbi4RDPbSI6PHOmUkVsgnBx6dXwL/wAG83gj4/8Aw3/ZE1rwH8ZNL+JFhpWi61p2n+F9O+KYmGo2rwaHp0OqRwCb5lsF1NL1bYD5PLH7v5NtffVABXinxz/b3+CP7O37Qvgf9mz4k6F41TWfiFe2ll4d1jT/AATe3OjG6uZpYorebUEjMEMxMLsY2YMEAcjaQa9rr5v/AGoPCPiv4rft2fs6eCoPDeoz+GPCF34i8da/qIspDZxXlrp40zT4XlxsErPq08qITuItmYDCmgD6QooooA5r4yfFzwD8AvhP4j+NvxU1wab4b8J6Lcarrl+YmfyLWCMySMFUFmO1ThQCScAcmsL9l39p/wCE37YPwbsPjn8Fr/UJtFvru6tGh1jSprC8tLq2ne3uLe4t51WSGWOWN1ZGAIxXI/8ABS/w38QvGP8AwT3+NHhP4UeEm17xFqfw21e10vRo7UTyXkj2rqYo424eQqW2L3fbXAf8EXfCWu+C/wBhmz0e/wDBfizQtJk8c+JrrwjbfECykg8QT6NNrF1LZ3GpLL+9N3JG4d2l/eNlS3JoA+r6KKKAPI1/bk/Zvf8AbDb9hRfGdx/wsVNA/tZtP/suf7Ls2CX7P9q2+T9p8kifyN2/yjvxt5r1yvzv8Yfs3/EbUP8Agv54V+JvgObx1/wi1pZ3Hi7xzb3/AIMEWgR3g8Ny6FbT22rb/wB/NIskUTWQUGP7PLKThkr9EKACvNvjP+1j8GfgJ8Uvhz8G/iLq1/Dr3xU1yfSfCFvaaVNPHLcQw+c/myopSBQuAC5G4nAzzj0mvkH/AIKnfE1fA3xF/Zns1+GnjrxB5Xx5tNXvp/B/gq91aLT7OCwvLWSW5e2jcW6+bfwY3kblEjDIjbAB7H+y1+3F+zh+2VfeM9O+AHjSfVpfAfiBtI14XGmT2wMgLqs8BlVRcW0jRSqk6ZRzDIATtNet1+df/BCv4PfGX4eeJPHg+KPwk8R+E18IeCPDHw7mfxBpj2yaxqekXmuTXV5aFv8Aj4tSmoWxS4XKvvYA/Ka/RSgD/9k=", "info": {"equation": "0+16*10=160", "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+16*10=160", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "88f596286a494c1650f7b99caec8caf1fe987318a2d1083d32a8c7a053efcaaa"} +{"episode": 43542, "episode_seed": 4171134754, "split": "train", "timestamp": "2025-10-28T03:46:53.039934", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 4171134754, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 5, 3, 8])", "action": "('move', [7, 5, 3, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "0+3*10=30", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "0+3*10=30", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "386a9c66014698ec37067cd31e594fc7fb891dfed07ce75142411350d67464f6"} +{"episode": 43543, "episode_seed": 2220616396, "split": "train", "timestamp": "2025-10-28T03:46:53.107720", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 2220616396, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 7, 1])", "action": "('move', [6, 6, 7, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "9*12=108", "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": "9*12=108", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "e44165169439d029d265341422f95bd12877804183e74ec81fdb61ea5f2b6579"} +{"episode": 43544, "episode_seed": 3230968786, "split": "train", "timestamp": "2025-10-28T03:46:53.176011", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 3230968786, "verbose": false, "save_verbose": false, "elicit_verbalization": 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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", 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", 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", "info": {"equation": "47-22=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": "47-22=25", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "7efbc790b03bfb0426a463648a14455e2afb20f28df0f36a5e37ff693d078174"} +{"episode": 43545, "episode_seed": 2180222226, "split": "train", "timestamp": "2025-10-28T03:46:53.248679", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 2180222226, "verbose": false, "save_verbose": false, "elicit_verbalization": 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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", 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9fOn/AATv+EHwx+Bvh3xl8PfhD4JsvD+iw6/bzx6dYK2wSSWcJdyWJZiTjkk8ADoAK+i683hqDhkdBXvpf723+B9B4l8RYbizjjGZrQpeyhUkrR0v7sYxu7ac0rc0rX1b1e58df8ABebxJ8WPDH/BMnx5d/CWW9ikuHs7XxBNp8eZE0qWdUuckcqjKQjkfwO2eCTX5lf8ESvG3xC1XwD8V/A2seJbubwzovg68uNE0+WcGKyuZwPtLxjqm8RQE/w5TPXdn97PFHhjw9418Nah4O8W6Pb6jpWrWUtnqVhdxh4rmCVCkkbqeqsrEEehr5O/aB+BXwh/Zx8Jad8KPgd4BsPDfh6y8BeJJbbS9OQhFeSW1d3JYlmYsepJPQdABXhcW5XVqJ45VLRjFJx7+8vw1v6pfL6PhvjvA4Pw7xHCssKnVrVlUVXTRJRb8+ZcnKracs5aq1peqfsheO9S8d6SNTsvHT+JdHOlxLFrH9oLdJNKmEyJU+RmO1t2O45Gc17XVfSUSPS7dY0CjyE4Ax2FWK+qyvBTy/BqjOo5u7d3vq793+Z+VYqvHEVnNR5V2Ry/xuv/ABzpXwX8X6p8MLZ5vEtt4X1CXw7DFCJGkvltpDAoVuGJkCDB4PSvi79jv4gPefGP4AaJ8LPGt5rEWo+CdUm8XBzHPLJp32KIvdXhOWhl/tOO3QngmVpkIyrBfvmvjv8AYa+CPwl+G37TWuePPAvgCw0vWvFmm+IbnxJqVujebfyjWLYhnLE45djhcDJ6V4+dUJTzfAzUmrSenyv+NrPyZ9NkeY5fh8lxlGvS5p2bg7Kzcoyh7zeqUObnha/vKzWvNH8n/wBu3x1+1K//AAXS1DVrZNVk8ZaR8UNPtfAlqbQMwskmj+wJFGflaN4mVvRvMdm5Zq/okr46+PnwT+EviL9vDTvjbrvgGwu/Fmh6x4VtNH12ZWM1pC94NypztGfMfnGfmODX2LT4eoOjisZeTf7zr6X+/X8D6XxH41wfFuW5PQoYZUXhcOqcmre89Fpb7C5bxT1TlL1ZVDxRr1v4Y8PXmvXX3bWBnA/vHsPxOBV+vE/2wPio3hjwncaPo1hLfXdpEJzZRDm5nbC29uDgnLyMo6cZBr1M4xyy7L51V8W0V3k9v8/Q/NsHQ+s4iMOm79Opg/su+HpPiN8b/Enxn1iNZoPDaPoejyuiNm+m2T38ytuJBC/ZoeQpBWYc5NfRVch8Bfhgvwc+EWh/D2W5Fxd2dqZNVvBj/Sr6VmmuZuFUHfM8jfdH3uldfVZTgll+X06PVK7829X+IsXX+sYiU+nT06BX4af8HSPiP4sT/tUeA/CetyXq+CoPBRuvD8TR4tnv3uZVvGU/xyBFtAc8qCvTdz+5deV/tR/Cj9j/AOKNl4Xi/a50TwfdwWPiOJ/Cf/CW3sUCnUmB2RwmR1813A/1XzB9oypwMY57l88zy6VCM+Vtp3e2j6/1vY+88K+LsPwRxnRzSthnXjGM48sUnJc0Wrxv1Wz/ALrkfCHwB8feAfjv+y54C8M/tNftRt4kvNW0PTJdd8Ga743szbXd0pR4oJrRNpcCRYz5J4LKAynkV9P/APBLzT9O8O+Hvif4M8AWUVv4D0j4kzReD4LO3RLSBns7aXUIbYpw0SX73I4yFkMiDG3avo/7cXgTwd8QP2Zte8FeNPDltqOlarfaVbajYzqQk8T6nahkJUg4I9CDVH9gbwH4N+GHwJl+H3w98OW2kaJpPiXUINO02zUiOCPzc4GSSckkkkkkkkkk189luWV8v4jjCpXlUfs27vtzWtu9Ovqc2P4gw+NyHFKMHD21W6pq3soXalzx1+PT2a91e437zvY9rrkfjx4R+C/jv4Qa/wCFP2ibLRbjwTd2JHiKPxDcLFZCBWD7pZHZQgVlVg2RtKggggV11fnH/wAHNviT4saL+wtoml+B5b2Pw9qnjW3g8ZPaJlGgWKSSBJmHKxmdEPoXVAecA/VZnio4PL6laUeZRT07+vl38jzeB8jq8ScXYLLaVb2MqtSKU9nG2t47e9p7uq962qPvP4OeDvg/4P8AhV4f8M/A7StGh8H2elQp4cTRHSW0NptzG0TqSJFYHdvyd2d2STmuoVVUBVUADoAK/Fv/AII1fHnWIf2RW8PfE/8Aa/1Xwva6N4kuLTwvo7eNbSxWKx2RyHbHKC5Xz5JsE8dQOBX6tfs0+LNY8Z+HLvXrjXTqmnXLRy6dqInEqTh1JLRuPlZCNpBXjnivDyrifC5jiKeGhSlFteXKrK+nl0Wi6HXxrwtieGuIMbhKtdVXSqSXPd3lru7/AGtfeV3Z31e56XRRRX1R8UFfzt/sceOv2pdT/wCC8WkeI9fTVpfHN58Vru18WxXFoDLHYb5IrxGQ8JFHaBwMcIiLt6Cv6JK+PPCXwT+Eum/8FF7j472PgHT4/GOo+NrywvfEIRjcS2y6C4EfJ2gYRBkAE7Rk18xxHQdWtg5KTX72K08+vyt+J+p+G/GuD4TwGcUK+GVV4rDyhFu3uvVWd/sPmvJLVuMdOq+w6KKK+nPywK/n7/4OIPF3x0f/AIKfiw1GbVEstF0XSX+HEawHaEaNJHkgAH7xjeiZS2CS0YXoqiv6BK+OP+CinwT+E3xP+Lul+MfiD4CsNX1Pwp4Ne78OXl4rM1hObonzEAIUnKIfmBwVBFfM8W0XVydtStaUX662/W/yP1Dwj4xwfBHFjzDE4f20ZUqkLaXTaTTV9NeXlf8AdlLfZ/VHwqvPF+ofC/w3qHxBt2h1+fQLOTXInjCFLxoEMylRwpEhYYHArfoor6WK5YpH5nVmqtWU0krtuy2V+i8kFefftI6QNT8EWlwdMFwbHVY7hX2kmA7JE3jHs5XnjDGvQaK5cfhPr2CqYfm5eZNX7FYer7CtGpa9nc5f4LeEj4H+FujeGWMu6C2LsJ8bw0jtIQcAYwXIx7V1FFFbUKSoUY019lJfcrGc5Oc3LuFYvxI0sa58Ptc0R9OW8W80m4gktXBxMrxsrJxzyCRxW1RTqw9rSlC9rpr7whLkkpdjzH9mPwm2iaHrHiKQTK2s6ikm2UYGIoUiBXjODt9+a9Ooorny/BrAYKnh078qtfuaYis8RXlUta4V41+1V4Ffxtdabpw0t2N9p13pi3kCkyItxsDoOoH3FYZH8J7A17LRWeaYBZngpYdy5U7a+jT/AEKwuIeFrqole1/yGW0It7eO3UkhECgn2GKfRRXoHOcv8br/AMc6V8F/F+qfDC2ebxLbeF9Ql8OwxQiRpL5baQwKFbhiZAgweD0r83rP43+FvDdz8AbHwp+0zfaBFq/hq/fxBqa+ILW2ubqz+wo0kt1LNkxynUY4VYcEy+cpHyMF/UmuB+Fn7Lf7PPwS8ZeKfiF8KPhHo2ha142vvtninUbG2xJqM++R975JA+eWRsLgEuTjNfO53kuIzWvRnTrOnyX2vfXqtVr032Pq8izvLMuy3EUcTR55yu4aRs24yhabeqUebnhZP3lZpX5o/PvwEj8G/FnxraN4W+LsnjSe312xvdU1Zdfg1GeMW0qzRRyPF8qJ+7IAIBO5sHJ4+wKbHDDDnyolXPXauKdXVk2VSyqlOMqrqOTu2/RLu/zPAxmLWLnFqPKkrWCuYvfhdpN78RIfiFJdv5kSDdbbBtaQLtV89eB29QPoenor0MRhcPilFVY35WpLya2Zz06tSk24O11b5MKKKK6DMK/Db/g6M8UfF0ftWeAfDOp3V/F4NtfBn2zw4oUrA2otcyrdurD70ioloD3UFcY3c/uTXCfHH9mP4A/tLW+i2nx5+FOkeKY/DuqLqOipqsBcWtyBjeuCMgjGVOVbAyDgV5Od5dUzTL5YeEuVtp+Wj6/1ufoXhfxlg+A+MKWb4qh7WEYzi0rcy5otXjfS/R/3Wz4N/ZZ+Otl8RfgD8P7344ftiXer+I9R0bT7jV/D+r+ObMrNffI6I9uuH3iQRsEzncBnnIr7z/Z28JN4T+HIWQTB9R1G5v3SYYKmV84AwOMAEZ9a7b7Jahtwto8567BUlcOVZDWy/GPEVcQ6j5eXVbK6e7b7HzGb5vTzOrUnToxpKc3Lljsrt6JWWivZeSCuf+Knwr+Hfxu+H2qfCr4s+EbPXvDutW4h1TSb9C0VwgYMAcEEEMqsCCCCoIIIroKK+jlGM4uMldM8ijWq4erGrSk4yi0007NNapprVNPVNbGD8Ovhf8PfhL4G0r4afDbwhY6PoOiWSWmlaZZwgR28KjhRnJPqSSSSSSSSTW6qqoCqoAHQAUtFEYxikkrJCq1alepKpUk5Sk2227tt6ttvdvqwooopkBXi+l/D83X7Tp1s6ZJbCw1ObVGaFTsmZ7N7UMxOc5WTtjlPYivaKK8/HYBY6dGTlb2c1P1tfQ6KGIdBTSV+ZNfeFFFFegc4V4t+0x8PB458Xadpg0yQHVdOOnte26nzNhkJZcnKjaDuGR3JPAr2mivPzPALMsI6Dlyq6d/RpnRhcQ8NV9olff8AFBRRRXoHOFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXj/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/EPW9E1rUrXSdEuJ57Dw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", "info": {"equation": "17-0/9=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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15vDUHDI6CvfS/wB7b/A+g8S+IsNxZxxjM1oUvZQqSVo6X92MY3dtOaVuaVr6t6vc+Ov+C83iT4seGP8AgmT48u/hLLexSXD2dr4gm0+PMiaVLOqXOSOVRlIRyP4HbPBJr84v+CGXxr1/Qfhv438EeNP2otT8GeGrDU7Sfw/p0fiy20+NrmZZftTIswLNxHATj5QTnqxz+6nijwx4e8a+GtQ8HeLdHt9R0rVrKWz1Kwu4w8VzBKhSSN1PVWViCPQ1z3wW+AXwa/Z1+H1r8Kvgl8O9N8O+H7KWWS20ywiOxXkcu7EsSzEsTyST0HQAVy5tkOKzHMY4ilXdNKNtL336Wa0fXXoezk/iDl2W+GWK4YqYNTq1a0aiqO1kly3vu+ZcvKunLOW1ve4j9lDx1qPjq2l1Kw8dP4l0b7Ciwax/aCXSTSIQmRLH8jMQrbsdx0zXs1IiJGuyNAoHYDFLXr5Zgp5fhFRnUc2m3d76u/d/mfmmKrxxFZzjHlXZHL/G6/8AHOlfBfxfqnwwtnm8S23hfUJfDsMUIkaS+W2kMChW4YmQIMHg9K+Lv2O/iA958Y/gBonws8a3msRaj4J1SbxcHMc8smnfYoi91eE5aGX+047dCeCZWmQjKsF++a+O/wBhr4I/CX4bftNa5488C+ALDS9a8Wab4hufEmpW6N5t/KNYtiGcsTjl2OFwMnpXj51QlPN8DNSatJ6fK/42s/Jn02R5jl+HyXGUa9LmnZuDsrNyjKHvN6pQ5ueFr+8rNa80fyf/AG7fHX7Ur/8ABdLUNWtk1WTxlpHxQ0+18CWptAzCySaP7AkUZ+Vo3iZW9G8x2blmr+iSvjr4+fBP4S+Iv28NO+Nuu+AbC78WaHrHhW00fXZlYzWkL3g3KnO0Z8x+cZ+Y4NfYtPh6g6OKxl5N/vOvpf79fwPpfEfjXB8W5bk9ChhlReFw6pyat7z0WlvsLlvFPVOUvVlUPFGvW/hjw9ea9dfdtYGcD+8ew/E4FX68T/bA+KjeGPCdxo+jWEt9d2kQnNlEObmdsLb24OCcvIyjpxkGvUzjHLLsvnVXxbRXeT2/z9D82wdD6ziIw6bv06mD+y74ek+I3xv8SfGfWI1mg8No+h6PK6I2b6bZPfzK24kEL9mh5CkFZhzk19FVyHwF+GC/Bz4RaH8PZbkXF3Z2pk1W8GP9KvpWaa5m4VQd8zyN90fe6V19VlOCWX5fTo9Urvzb1f4ixdf6xiJT6dPToFfhp/wdI+I/ixP+1R4D8J63Jer4Kg8FG68PxNHi2e/e5lW8ZT/HIEW0BzyoK9N3P7l15X+1H8KP2P8A4o2XheL9rnRPB93BY+I4n8J/8JbexQKdSYHZHCZHXzXcD/VfMH2jKnAxjnuXzzPLpUIz5W2nd7aPr/W9j7zwr4uw/BHGdHNK2GdeMYzjyxSclzRavG/VbP8AuuR8IfAHx94B+O/7LngLwz+01+1G3iS81bQ9Ml13wZrvjezNtd3SlHigmtE2lwJFjPkngsoDKeRX0/8A8EvNP07w74e+J/gzwBZRW/gPSPiTNF4Pgs7dEtIGeztpdQhtinDRJfvcjjIWQyIMbdq+j/txeBPB3xA/Zm17wV408OW2o6Vqt9pVtqNjOpCTxPqdqGQlSDgj0INUf2BvAfg34YfAmX4ffD3w5baRomk+JdQg07TbNSI4I/NzgZJJySSSSSSSSSTXz2W5ZXy/iOMKleVR+zbu+3Na2706+pzY/iDD43IcUowcPbVbqmreyhdqXPHX49PZr3V7jfvO9j2uuR+PHhH4L+O/hBr/AIU/aJstFuPBN3YkeIo/ENwsVkIFYPulkdlCBWVWDZG0qCCCBXXV+cf/AAc2+JPixov7C2iaX4HlvY/D2qeNbeDxk9omUaBYpJIEmYcrGZ0Q+hdUB5wD9VmeKjg8vqVpR5lFPTv6+XfyPN4HyOrxJxdgstpVvYyq1IpT2cba3jt72nu6r3rao+8/g54O+D/g/wCFXh/wz8DtK0aHwfZ6VCnhxNEdJbQ2m3MbROpIkVgd2/J3Z3ZJOa6hVVQFVQAOgAr8W/8AgjV8edYh/ZFbw98T/wBr/VfC9ro3iS4tPC+jt41tLFYrHZHIdscoLlfPkmwTx1A4Ffq1+zT4s1jxn4cu9euNdOqadctHLp2oicSpOHUktG4+VkI2kFeOeK8PKuJ8LmOIp4aFKUW15cqsr6eXRaLodfGvC2J4a4gxuEq11VdKpJc93eWu7v8Aa195XdnfV7npdFFFfVHxQV/O3+xx46/al1P/AILxaR4j19NWl8c3nxWu7XxbFcWgMsdhvkivEZDwkUdoHAxwiIu3oK/okr488JfBP4S6b/wUXuPjvY+AdPj8Y6j42vLC98QhGNxLbLoLgR8naBhEGQATtGTXzHEdB1a2DkpNfvYrTz6/K34n6n4b8a4PhPAZxQr4ZVXisPKEW7e69VZ3+w+a8ktW4x06r7Dooor6c/LAr+fv/g4g8XfHR/8Agp+LDUZtUSy0XRdJf4cRrAdoRo0keSAAfvGN6JlLYJLRheiqK/oEr44/4KKfBP4TfE/4u6X4x+IPgKw1fU/Cng17vw5eXiszWE5uifMQAhScoh+YHBUEV8zxbRdXJ21K1pRfrrb9b/I/UPCPjHB8EcWPMMTh/bRlSqQtpdNpNNX015eV/wB2Ut9n9UfCq88X6h8L/DeofEG3aHX59As5NcieMIUvGgQzKVHCkSFhgcCt+iivpYrlikfmdWaq1ZTSSu27LZX6LyQV59+0jpA1PwRaXB0wXBsdVjuFfaSYDskTeMezleeMMa9Borlx+E+vYKph+bl5k1fsVh6vsK0alr2dzl/gt4SPgf4W6N4ZYy7oLYuwnxvDSO0hBwBjBcjHtXUUUVtQpKhRjTX2Ul9ysZzk5zcu4Vi/EjSxrnw+1zRH05bxbzSbiCS1cHEyvGysnHPIJHFbVFOrD2tKUL2umvvCEuSSl2PMf2Y/CbaJoeseIpBMrazqKSbZRgYihSIFeM4O335r06iiufL8GsBgqeHTvyq1+5piKzxFeVS1rhRRRXYYhRRRQBy/xuv/ABzpXwX8X6p8MLZ5vEtt4X1CXw7DFCJGkvltpDAoVuGJkCDB4PSvzes/jf4W8N3PwBsfCn7TN9oEWr+Gr9/EGpr4gtba5urP7CjSS3Us2THKdRjhVhwTL5ykfIwX9Sa4H4Wfst/s8/BLxl4p+IXwo+EejaFrXja++2eKdRsbbEmoz75H3vkkD55ZGwuAS5OM187neS4jNa9GdOs6fJfa99eq1WvTfY+ryLO8sy7LcRRxNHnnK7hpGzbjKFpt6pR5ueFk/eVmlfmj8+/ASPwb8WfGto3hb4uyeNJ7fXbG91TVl1+DUZ4xbSrNFHI8Xyon7sgAgE7mwcnj7ApscMMOfKiVc9dq4p1dWTZVLKqU4yquo5O7b9Eu7/M8DGYtYucWo8qStYK5i9+F2k3vxEh+IUl2/mRIN1tsG1pAu1Xz14Hb1A+h6eivQxGFw+KUVVjflakvJrZnPTq1KTbg7XVvkwoooroMwr8Nv+DozxR8XR+1Z4B8M6ndX8Xg218GfbPDihSsDai1zKt26sPvSKiWgPdQVxjdz+5NcJ8cf2Y/gD+0tb6LafHn4U6R4pj8O6ouo6KmqwFxa3IGN64IyCMZU5VsDIOBXk53l1TNMvlh4S5W2n5aPr/W5+heF/GWD4D4wpZviqHtYRjOLStzLmi1eN9L9H/dbPg39ln462XxF+APw/vfjh+2Jd6v4j1HRtPuNX8P6v45sys198joj264feJBGwTOdwGecivvP9nbwk3hP4chZBMH1HUbm/dJhgqZXzgDA4wARn1rtvslqG3C2jznrsFSVw5VkNbL8Y8RVxDqPl5dVsrp7tvsfMZvm9PM6tSdOjGkpzcuWOyu3olZaK9l5IK5/wCKnwr+Hfxu+H2qfCr4s+EbPXvDutW4h1TSb9C0VwgYMAcEEEMqsCCCCoIIIroKK+jlGM4uMldM8ijWq4erGrSk4yi0007NNapprVNPVNbGD8Ovhf8AD34S+BtK+Gnw28IWOj6DolklppWmWcIEdvCo4UZyT6kkkkkkkkk1uqqqAqqAB0AFLRRGMYpJKyQqtWpXqSqVJOUpNttu7berbb3b6sKKKKZAV4vpfw/N1+06dbOmSWwsNTm1RmhU7Jmeze1DMTnOVk7Y5T2Ir2iivPx2AWOnRk5W9nNT9bX0OihiHQU0lfmTX3hRRRXoHOFeLftMfDweOfF2naYNMkB1XTjp7Xtup8zYZCWXJyo2g7hkdyTwK9porz8zwCzLCOg5cqunf0aZ0YXEPDVfaJX3/FBRRRXoHOFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXj/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=", 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", 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", "info": {"equation": "17-0/9=17", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "fa4d2d75ea38c7de3bc2af60de4e0be18f020f2259dbae9895760f37453da1bc"} +{"episode": 43546, "episode_seed": 290888551, "split": "train", "timestamp": "2025-10-28T03:46:53.307570", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 290888551, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 1, 4])", "action": "('move', [6, 1, 1, 4])", "reward": 0.0, "image": 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", 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", 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vwt8T7vwpa6s8ll4n1i21KG1I01gJZQ00wKoC0UZz1yoA5OD+vOtWn7M/x78RaNpXxM+Oun/E+fT7iSbQvD3ifxjaapbpcNGQ0yWa4SWUR7wGdX2qz4xkmtD/AIJ3fs3fAf4OfFnwB4t+F/ws0rRdT8SeAbuXXb61jYyXjeTYyfMXZsDe7NtXAyenAx7F/wAFIPgr8KPjhofw98A/FrwHY67o0njGed7C7DKhkj0q+KNlCrZBJ71+UYbKcRV4fqYlV5KMb+5rZ2+f6H7d4h+IuW8Ycd0MbhqEsPFQjBzVnV+1d2Tino3FLnV47tXssT/gkre3SeAfiL4T8H39xd/DPQfiFPY/C6dyJLZLEW8LXUFpNk+daxXzXUUbZYAJtDELgfWdeMfsC+FfDfgX9m608F+DdDttM0nSvEuu2um6fZx7IreFNVugqKOwA/E9TkmvZ6/Sclg6eUUE3f3IvXzV/wANj8d4lx8Mzz2viYRspS67uyUeaVt5ztzTfWTbCv51f+DhPxb8cNd/4KQeI/D3xWm1FdE0iwtE8BW11Fst1014UZ5YAOGDXHnhn5JaPaT8gA/oqrzT4/8A7HP7L/7U99oup/tC/BPQ/Flx4ekd9Hm1W3LNb7ypZcqRuUlFJRsqcdK58/yqrm+B9hTnyu6euz8n+fqj7Twk49wHh3xU8zxmHdaDpyhpbmi3ZqUb2V9OV6r3ZP0f54/8E/8A9pTxH4s/ZC8G638e/wBunW9O8SyWk0c9pdfECxtpY7dJ5EttyOC4JgWM5f5mzluSa+7f2ZfiBrvj3VF1fS/GJ8QaLPYEnU0vVuIZCuEV1kT5CxKkHb1+bjI49mj0+wijWKKxhVVUBVWIAADoBUqIka7Y0CgdABivOwfDeMw+Kp1Z4yclF3s72fl8T/LY+VzviDD5vj8TiaeFjSVacpKMbWjzSbstFor2W2wtFFFfWHzJ80/8FWPEPjLw/wDsx2P9iapqFh4dv/HOj2XxG1HTFHmW3h2Wfbdsz9YoWPlRyuPuxSPkhdzDzr4UeP8AX73/AIKFfD/w38KvEZv9Pn8EazJ4/stOEU9rbacywS6fcSuMmJ3uOIsEeYjyEBlBI+n/ANqa3hu/2Y/iNa3MQkjl8B6ukiMMhlNlMCDXzx/wT+/Z5+CP7PHxz1fRPgj8NNN8N2up+C0uNQj09XJuJFuwqs7OzMcDIAzgZOAMnPxma4aT4qwk+d6p6duW7f8A4Fsz7rKs1yqlwvWpVqN6sOdR0jyy9rFR5ptvmUqXxQspJvl+Hlbl+YP/AAcoeLfjjqn7fp8JfECXUU8H6V4es5PAFvNFstWilgjN3NFjh3NysiOx+bESKeFWv1A/4ISa98YvEH/BM7wFP8ZILtZbZbi28OPe2wieTR4322jAAAsmwYRiMsiqeRgnT/4KHfs/fBb9ob4sfDnw78bfhzp/iSx0/Q9dubK21DftimNxpSlxsZT90kYORz0r2D9jC1tbD9lPwDYWNtHDBB4at44IYUCpGirhVVRwAAAABwAKMsw0qXFmLbm3on/4FZ2+WyPseLPETL898K8q4fpYNQqYd+9PS3uqUbxtrepfmqXt73817r06iiivsz8UPEvjp8Df2BvHX7QXg7xt+0H4b8A3HxJtWhXwW/iDUIYtRnMcxeJYYWkU3G2UkqNr4YnHJr2k2doTk2sf/fAr+ZD/AIKv/ED9oXUv+CknxI1z4xarrFpr2heL54PDLzboJLLS4Z2bTmt9uNieSY5VZfvM5fO5ia/U39m79pKfxB8CPBXin4w/t46nb+Krzw9Z3PiC0n+IWnw7LpkDOrRBfk56r26cV8NDjDB4fFVoToNWla8Uru2l5ba/efuXHvhbmPDfDGU46pmKrqtDSDbtTulO1LV3hrq0o62dve0/SVVVBtVQAOgApa8q/Zt8X+I/GQvdZl1ptT0m6gS4tb8T+bFIz/MDE4yrKynPynGNuOvPqtfVZZj4Zng44iMXFO+j8nY/FcVh5YWs6bd7BX5x/wDBzJ4u+OXhv9ibRdM+G0+oweF9W8ULbePZ7CP5Tb7N1vFM45SJ5gM9mYIpPIB/Ryud+Lfhf4Y+Nfhhr/hb406dpV34SvNJnTxHDrbKtp9j2EytKzkBFVQWLkjbt3ZGM08ywssbgKlCMuVyVr/107+R9BwTntHhjizB5pVo+2jRmpOHfpp/eV7x/vJH4If8ENfjd448J+LvF/w71z9o/VPBXgYaV/aAt4vE1vp8EmqtLDGrKZwcuYVkyE6hF3dFr7s8e/D79h/41WviPxt8aPH3h34hzxeHxBq/iDxP4ottTuNK05WJUROGC2iiQlgyBSztgk5xX2z+yn8Mf2Ufhr8IYNA/Y/0jwpF4Mlvp7iF/Cd5Hd2k1yWCyuZkd/MfKhSSxICBeAoA+bv8AgoL+zX8BfjV+0JfeIfix8KtJ1688PfDOzm0aa/jYi2c3WpuSFDBXBaNDhgw+Xpyc/nea5Bisuyb2s8S5RVvdV+XV9NfPsfpHEHHuC4m8Ra2Z06NTBxlo3BL23upL3lzQXNJpX958umkmtfcv+Cc2ufFTxJ+w/wDDXWfjQt9/wkM3hxPtD6paCC5ltw7raySxgDbI9sIXbIByxyAciva65z4PMW+EnhZmOSfDliST/wBe6V0dfpmHg6WHhBu9kld7uy3Z+OZni44/Mq2JjBQVScpKMdo8zb5V5K9l5BX8pXx7+Kf7TZ/bH174rfFjWtXsvipp/jP7TdXV5GI7mx1G3mHlKqHKoIjHGqKPkCooHygV/VrXwF8ff2cfgXr/AO1p4x+P+ufC7S7rxnp3xK8Ow2HiGeNmngRYdFVdoLbMhXYBtuRng5xXyfGWHlVw9CSk176X/gXX1VtPVn654NeIWX8BYrMHisIq/tqVltdOLfuu/wDy7nze/a792OjMS98f/B/4o/C6Dwd8cP20JtastV0m3TxPoGpfE2zW2u2KI00EwhKExlwysgYBlypyCQep/Y00Pw58Mv8AgoNc/Dv9m7S7bTfC178Opr74m6D4etYl0yy1BZ7dNKndY/lt7qWE3YKjaZIoUchsBq+mv21/D+ia3+yP8RtF1bSoJ7S88I3sF1A8Y2yRvEVZTjsVJH415R/wT2+A/wAHP2e/in488HfBP4d6d4b0y58P6LdXNrpyNiWY3OqLvZnZmY7VUDJ4A4xXnU8qxGB4kwsKmIlUbUnd3vZJ6bvR9T5fBcQYeHD+NjyyXOnFUlb2V52TnLX4oWTglB+9GLcly2f1ZRRRX6Gfnx+Ev/Bzz4u+ON1+134a8E+Kp9Rj8B2vhaO68JW7R7bSa6ZmW8kUjiSUERK2eVUrwA2W9L/4JKftFeKdU/Y+sLH40/tn6z4fbSdWm07wzpc3jizszDpUUUKxKscoL7A/nKpb+FQB8oWv1Q/aG/ZY/Z6/av8ADFn4N/aJ+FGleK9N069+12NvqSNm3m2MhdGQqy5ViCAcHjIOBjr/AA94S8L+EtAsfCvhjw/Z2Gm6ZZxWmn2NrbqkVtBGoSONFAwqqoAAHQCvjMTwxja+Z1cTDEuCl2vf0eq0XQ/a818VMqzDwxwHDEcAlVoSu5vl5dL+9HRvnne827a33vp8tfs/eGPB3xN1rQbjwR4xGvWGneI/7VutastTjvPtF0kjzSNNMmVLPI5LYwctxivrWmxxxxLtijVR6KMU6vbyXKf7Iw8qbqOblJybatvbzfbufkGNxf1yopctklawV4d/wUm8SfFTwh+w98QvEXwZvNWtddttKhzeaDb+be2li11Ct9PAuCfNjszcSKQCylAQCQK9xo69a9OvSdahOmnbmTV1urq116FZXjI5dmdDFypqoqc4ycXtLlknyvfR2s9HofmJ8ffjL4L8A+I/gZpXwe/aBj8Nw32urbJdaJr9pGJfDP2OQTyNNIWCRboLcLID8zqVBJ4r1Hw38Rfhj4u8U6faf8NTHxnqMUkjaRpmoeNrS+aOUxOrSRRRYYv5TSLnnCs3HcfTnwN/Yy/ZY/Zp8Qa74q+A/wADdA8Mah4lcNrV1plqVa4w7OFGSRGm52OxNq9OPlGPSltbVGDJbRgjoQgr4ajwdjVhvZSxbSd7xSbj/wClK/nofTZvxBk9StTjgaDcYL45qMZybbeqjzJct+Ve87pX0vyrjP2ePBLeAfhdbaPIJw91qF9qEiXIAZGurqW4K4wMAGTAB5xjOTXb0UV9vhaCwuGhRTuopL7lY+Pq1HVqym+rbCiiitzMKKKKACiiigD5p/4KseIfGPh79mOx/sTVNQ0/w7f+OdHsviNqOmKA9r4dln23bO/WKFj5Ucsg+7FI+SF3MPmT4z/HTSPDf7X/AMOPDvhb9pJ/C1rfeGNXl8XnSPENnaxfYfLiksZJJpM7S07DywD86MxAKgkfpRrGj6T4h0i60DXtMgvbG+tnt72zuohJFPE6lXjdWBDKykgg8EEiuC/Z6/ZH/Zs/ZR0HUPDX7PHwe0fwrZardrc6lHp8TFrmVV2KXeRmYhRnC5wNzEAFjn5XN+H8TmWZQxNOu4JK3W63+HVb311XzPtso4hyfBZJLD4jD89WPtFHSPJL2kVHmm37ylT+KFlJN8vwcrcvmXwJ46+HvjLxfD/Y/wC0QfHetxWkkdjb3Xi221Ge3hZ42lEUcOCAzRw7jg/cTp3+uPgn4JT4cfCTw94GjkmYaZpUUObgjfwOc4AGefSulS2t4m3RwIp9VUCn105PkU8sxNSvUrOpKSSu1287u581jMfHFU4wjBRS7f8ADIKKKK+hPOPMvij+xp+y18avivoXxy+K3wP0HXfFvhryv7E1y/ti01t5UhljHBAcJISyhwwBJxjNekmztCcm1j/74FSUVEaVOEnKMUm99N/XudVfHY3FUqdKtVlKNNWinJtRW9opu0VfWysIqqg2qoAHQAUtFFWcoV+cf/BzJ4u+OXhv9ibRdM+G0+oweF9W8ULbePZ7CP5Tb7N1vFM45SJ5gM9mYIpPIB/Rysb4hfD3wT8WPA+q/DX4keGLTWtB1uye01XS7+LfFcwuMMrD9QRgggEEEA1xZlhJY7A1KEZcrkrX/rp0fkfT8F5/Q4W4qwebVqKqwozUnB9V5X05l8UX0kkz8B/+CGvxu8ceE/F3i/4d65+0fqngrwMNK/tAW8Xia30+CTVWlhjVlM4OXMKyZCdQi7ui1+mPgjU/AXxRvtV0vwt8az461jUNOWzurk+JINSu4bb94qIPJ+4gaaRhlfvOeT0r6q+Bf7OPwN/Zn8Br8MfgR8MtL8M6Et3JdHTtOhO155Mb5GZiWdiFUZJJwqjoAB2ccEERzFCik9SqgV8hDg3FSwyo1cW+XrFJuPyvL9PkfU8f8f4Di3i3EZthcIqUZ2SvbmdklzSsrcztrZvtd2uUfCGhR+FvCel+GYpHddO06C1V3ILMI41QE44zx2rRoor7tKysfmDd2Ffk9e/GjUtE/wCCevjn4h/FP4q32l/FAXWqTeJbi+mhj1Kx8XJcu1varA2QhSSC3SGILj7PEjKCo3H9Ya8y1b9jP9lrXf2grb9qrWPgfoNx8QrNEW38UyWxNwpWIxKxGdrOsZ2hypYAKARtGPn+IMmr5xCkqdTk5Xf/AIPqraer1R9dwtneUZVGrDH0XNOUJrlUW26fP+7fNa0KnP7zV2uWL5JbHyFovxj+HniPwRp9h8Tf23JtSa70q3Gv6PqPxGsGt7iRolM0MiJjKFtwKgjjjNfVH7L/AINNtruvfEl2mzqthZWMe4Dy3SCS5k3rxk5NyQTkj5R6GvXvsVn/AM+kX/fsVIABwBXPgOG62EzCGKrYmVRxTsmu6tu5M8fF5pDEUp04UlBSd9Nt77WCiiivqTyAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKg1W0l1DTLmwhuWheeB40mTrGWUgMPcZzQB88fs7/APBV39iL9qX9oTU/2Zfg38Tru+8S2C3zWMl1oV1bWGtrZTeTeHTruVBDeiCQ7ZPKZtvJ5AJr6Or8VP8Aglb+zf8AtM2H7RP7IX7PHjH9m/xx4UvP2SbL4kR/FDxdrfh+W20i/bVbmZbFdOvG+S/FwJVlbyydoB3dK/augAooooAK8N/bZ/4KJ/swf8E/NK8Oat+0l4i1eyTxVqf2HSI9H8PXN+xffFGXkMKMsMYeaFd7lQWkUDJOK9yr8+/+Dj/xbq0v7BsXwU8H/CPx/wCLvEHivxdo15ptt4H8DX2sLDDp2rWN1cm4e1jcW/7oMU348wqwXODgA/QNWDKGHQjIpa5r4O/E3RfjN8L9D+KfhzRdb02x13T0urWx8SaLNp1/AjdFntp1WSF+OUcAiuloAKKKKAKHirxPofgnwvqXjPxPfi10zSLCa91G6ZGYQwRIZJHwoJOFUnABPHArw/8AZA/4KZfspftveOPEnww+CuveILbxN4Vs4L7VfDvi7wlfaNe/YZziG8jhvIo2kgfjEgGPmX1GfavHPimDwN4J1jxtdaRf6hFo+lXF9JYaVaNPdXKxRtIYoYl5kkYLtVByzEAda/OX/gjN8UdY/ar/AGy/ix+2t+0Z8G/ib4P+LPjPQE03R/DXij4ZanpOleFfCVldgWunpfXUKRXt7LJKLiUqe5CKFRqAP0vooooAKKKKAPnf9s3/AIKi/smfsE69ZaH+0Xq3imzS4s4ry/1XRvBOoajYaPayz+RHPfXVvC0VojSAqvmMCdpwK+gdN1Kw1nTrfV9Lu0ntbqBJraeM5WSNgGVge4IINfmV/wAHF9hcfHP4XRfs3+B/gV+0Hr3xIisre/8AhlL8PdFu7jwnrF/NfQZttY2E2kqQ/ZUcpeqFVZSYydzV+knw9i8TweANDg8a29rFrKaPbLq8VkoEKXQiXzVjA4CB9wGO2KANiiiigAoJCgsxAAHJNFeJ/wDBRvwh+0t8Qv2I/iL8P/2QooX+IWvaA2naH52qJYlVnkSK4ZLhwVglFu0xSQg7X2nBxigBf2Nf+Cgv7L/7fMXje7/Zh8a3Gu2vw/8AFk3h3X719Okhha8jGSYHcATRkciReCCCOte11+ZX/Bvr8LP2kvgn8W/2mfAfxW/Yl/4VB4Xk8e6fL4etV8Rm+t42h0y2tRaWsn2aEXsKxRI5vE+VnZk27lJP6a0AFFFFABXzn8Sv+CoH7Ovwz/aqm/Y4ufCHxK13xlZvpQ1U+EvhtqWq2GmLqJItZLq6tomitkYByXkIAEbknCnH0ZX5Lf8ABVDwB8QtK/btfx/+wp4E/aZ0v9onXvF/hCCHW9BtbuPwBq2i2wUTm/li/wBEkhjglukdbk+Ysmdg2tkgH600UUUAFFFFAHIfHz49fCX9mD4O6/8AHz46+NLXw94T8MWBu9Z1a7yUhjyFAAUFnZmZUVVBZmYAAkiuf/ZS/a4+E37ZHw8n+JHwks/Etna2l+bO8sPF3hS80a+gk8tJFLW93Gkmxo5EdXAKsGBBr53/AODgn9nb4xftMf8ABMvxP4J+B2g6xq2t6V4j0PXZNI8OjdqF5aWWoQzzrbL/ABzrGrSIn8TRgAEkCqP/AAQ2t/2g4/h18WLn4iT/ABYb4bz/ABOmb4KD44PdN4lGjfZovNNx9s/0kRG583yxL82A2PlxQB9y0UUUAf/Z", "info": {"equation": "36-0=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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", 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", "info": {"equation": "36-0=36", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "6350f1600d0d6552d58c5521606b14d57d670712f5bc53e99dfbb6b9ce724af9"} +{"episode": 43547, "episode_seed": 413715136, "split": "train", "timestamp": "2025-10-28T03:46:53.386844", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 413715136, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 5, 8])", "action": "('move', [6, 0, 5, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "13+19*1=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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YtPk3IZZPJlab5I9tzHEoUDIwFXAyK/Ra30f4NXHxy+Hvxo+E3jK08WfEe++LGkWp8WRarb6rqd1bOggv7Z5VJ226aX9oZkUAIEEmAx3H7N+HHws/ZN8PfH3x144+F+h+Ek+I2rLaf8LBl0y6ik1EApmD7TEGLQ71G4ZVfMwGO4jNeN6t8GvhWv8AwUgg+Nw8C2H/AAlsWtQabFr2xvPS0OhOxiHO0AknkDOCRnBxX5zWyDE4CdGcsS5J1oqyvZXlvv8AF303vqfuPFPiNgeJeIfr9PCSw6jhY03FJfvLRvyz1X7p8yS+K9OMfd1936yrxP8A4KQa/wDE/wALfsHfFjxD8GpLxPElp4IvpNOl09N08X7s+ZJGOu9Yt7AjkEZHIFe2U2WKKeJoJ41dHUq6OMhgeoI7iv0KvTdajKmna6av2utz8ZyzGRy/MqGKlBTVOcZOL2lyyT5X5O1mfz4/8ESPGPjiez+KngW68R3X/CM2Xga/1C109pl8q3vpRDHJOoPKs0cUYJ6YjXPQV+2v7JnjTUvHPhaXWovGLeIdKe3t/sWsm9W5W4YKVZllT5XJ2jcV4z6Zrx/49fs6/BD9mXwZZfD/AOAfw00zwto0+g+Jb6bT9KiKo9xItiHkOSSSQqjrwFAGAAK+t7NES0iVFCgRjAAwOlfDZBktfB5tOMqz/dct0r2lzRduv2emn3H3/iVxfguMc+r5rhsP7OFd6J25lyKMbu2l5Wu7Pru9ySiiivvj8yPk7/guB4g+KHhr/gmJ8T9Q+FEt5HeyWFtb6lLYJukTTZbqKO86chDA0gcjohY8DJr50/4NbtV+It3+yV480rXorj/hGrTxwp8OySwAIZntkN0qN1YAiAkdAWPqa/QT9prTrHWP2cfH2kaparPa3fg3U4LmB/uyRvayKyn2IJH41wH/AAT9+F/w8+DXwr1/4dfCzwjZ6Hodh4vl+yabYqRHGXs7N2PzEkkszEkknmvnK9FviijU5n/Dlp00f/234I/S8DxfhMN4VYvhx4ZOpUxEKiqaaJRWne65bLpyzlt193r8VP8Ag6k8Q/FEfGP4WeGLmS8TwYvhq6u9PAjxBJqn2gpOdw+9IsItuD90Scffav2rrzP9pb4YfspfEzTvDFv+1Xo3hS7trHxTbTeFB4qu44VOrYYQpCXdfMlYbsRDO/HKnFdud4CeZZdOhGfK3bV7aNPU5PDDiuhwXxnh81rYd14wU1yxtze9Bq8b9Vf7rnwv8IfEPwr/AGjPgf8AD3Sf2nP2g7bx3q02hWGoal4Q8UeMLK5tv7T+x/vGezTAZk3ykK2QhycZUEfYH/BNia9k/Yu8HQPLcSada/b7XwxLcxBGk0SG/uItMYY4ZDZJbFH/AIk2tk5zTP2/vhJ8NPjJ8JNF+HvxQ8GWetaLfeL7U3mnXQYJKUhuHXJQq3DKDwe1d1+y1Y2Wlfs4eB9L0y0jt7a18MWcNtbwoFSKNIlVUUDoAAAB2ArxMmy6tl+e1YVKzqP2a1fnL1e1vxOPNs8oZhkDpwg4c9ZzUFbkgkpaQ1+056rlikoR1lf3e9rnfizBpk/w71Uas2IltiysFBIkBGzGe+7H510VeMfthfEi88O+DZfD/hu0a71PYskFovSa4dvLtos4ON0zJk44HPIr3M7xMMNldVyV7rlS7uWiR8tgacquKilpZ3v2S1ON/Yl13w14y+NfxC1d4ydS0e2s9K0p5Y48NZLJN9okhYOWYNeJJFICq4NrF1619M18y+EPg/dfs4fGLwHaeHrrzoLPTW0zV55pI1a9t7pVaeUt5Yy/22KObA2fKz9yFP01XHw1JU8veFkrTpNxkvndP5pm2ZrmxHtU7qaTX+XyCiiivoTzj8Evgz41/aWvf+DkGbUdVXU5fETfFbUdPv4prUFk0BVliA2kYWFdPVGVh/CFYEkjP7218pW/wd+F0H/BSib44ReB7EeLp9c/s2XXyrGc2g8NhhFydoGQOQAeMZxX1bXzfDlF0YYlOTf72e/lb8+p+l+JfGGE4vr5dUoYdUVRw1Km0rauN72t9lbRT1SI7y1tL60lstQto5oJo2SeGZAyOhGCrA8EEZBBrzn9lr4Z/sr/AA2+E0Ph39kbSPCsPg5r+4mhPhS8jurR7kviZvNR3DOGXafmJG0LwAAOJ/4KpeIPih4W/wCCd3xc174NyXia/b+EJzBLp8e6aK3LKt1IncFbczNuHK43DkCvyT/4IW/GXWvDfgvx94I8W/tOal4J8NWt9Z3WjWEXiu20+KS8lWRbl1EwJY7IrfOOBgdzSzjPsPlGOpwqUnK8W7q11rsr+muvYvIOB8XnHhzmGe08XyQo1acXSu7T2XM1e117T3NHpz7H71qqooRFAA6AClry39lvxhqXjbwzc62PFTa5pkohbT9W+1rcJcfKQzJIvyuDhSSvGSa9Sr2MuxsMxwccRGLSlfR76Nr9D84xNB4as6bd7H5v/wDBzpr/AMT9K/YY0DSvCEl4nh/U/HNvD4ta2TKPEsMslukpHRDOiN6F0TvgHxL/AIJtfEnwz8Sv2BdA+HX7SP7Ud0unyfadK/4QzVPHNta20+kxyeXDayQErIYWUFNpYbk+X7pFfqz+0L4N+BXj/wCDeueFP2l7LQ5/A9zbodfTxJdJBZCNZFdGkkdlEeJFQhtwwwGDmuV+OHgD4Up+xV4g+Hvg/wAO6S3g9vAT6fpthYBWtH0023lpHGUODGYiACDyDkHvXzmc5FiMXjamKhiHBcmyvfS+m691/nfQ/UcHx3haXh3heH/qrVSniXV9srdvsvR+0V+692Mde3nf/BM/SNH8Kv8AFnwV8O9Mt7PwVpnj9BoVpYWscdnbXklhbSajDb+XxsW5YllHCStIgxtKr9RV4f8AsDfDfwH8Ivg/qnw6+GXhW00TQ9M8VXSWGmWSkRwhooXbGSSSWZmJJJJJr3CvZyCLhkuHV7+6n9+v4bHwfEuMp47PK1aF7XSu/ilypR5pWb96duaWr95vV7v8RP8Ag6J8Y/F/S/2pvhjpqajqNp4Y07wk2oeHJYcxxLqv2xxcyI46yqiWfuoKkY3HP1n+z98WtL+I3g/wS/jn9qO48WeLbrQrO5ufD9/4ws7pl1J7MeeUtoQG8xd8wwM7QW4449d/4KafBz4XfF6LwsPid4GsdbGhaRrmpaQt8rEW13GtpslABAJGejZB7g19R2Fvbi1hlECBvLU7ggz0r5mvkdbM84xcI4iUF7l1unzR2eq0Vj7zO+OsDjuBsmyqGESnhVVTnprzSTXLpdX3nfeWpmfDXw4vg/4d6D4TRpCNM0a2tQZcbj5cSpzgAZ4rboor7qnBU4KK6Kx+USfNJsK8h/ae8CN441LRdM/s5z9sguNPF5ACZI1maMuo6gcIG5H8B7A169RXJmWBWY4OWHcuVNrX0af6G2GrvDVlUSva/wCKsFFFFdxgfznfsH/Gr47aJ/wVR8R6v8VfjJrXg7U/EGp63D8SNRk1WLT5NyGWTyZWm+SPbcxxKFAyMBVwMiv2F/Zbj8I/Ef4h2PiLwr8Un8YHTNUkvdS1pdbh1CRpvsjwIk0sXyjCOoC8HAH4+6+Dv2bfgR8P/ir4m+OHgz4W6Tp3izxkIh4m123gxNfiMYTfk4HQE7QNxALZIzXaxxRRAiKJVB6hVxXxeD4UxNCvCpUxLcYz5uXWzs7rru+uh+p+I3iFgONc1hi8Lg1RSoQpPbeKd9lsm+WOvwxjdLZOooor7Q/LDyP9qjwSfG0Gk6YNOdzdRXeni6gUmSIXAjDKOoGdgPI6p9a9bjQRxrGDwoAGaWiuDD4FUMbWxHNf2nLp25Vb8TepXdShCnb4b/O7Ciiiu8wMT4k6WNb+H2t6M2nrdrd6VPC9qwOJVaMqV455BPSuX/Zr8MvoHgi91CQShtY1d70rKMY/cxQjHHQiEHn1PbFeh0VwzwKnmMMXzfDFxt6tO/4G6ruOGdG27Tv6BX4r/wDB074p+LFn8avhToIu7+38IQ+Hbm+0t4gUhOrC5KzMHHWRIRbYz90SZH3zX7UVxXxp/Zy+Bv7Rdpo1h8cPhjpXiaHw9rMeq6NHqkJcWt3GCFkXBGeDypyrdwcCsM6y+pmeXyw8JcrdtfR31PtvDTi/CcDcYUM4xND2sIKacVa/vRcbxvpdX+658PfsxfGSy+JHwz+Ht58Tf2qbnxR4wvPD9jdXvh3UvGVpcH+03tQZcW0WG8xS0g2jO3J44r72+FHhgeC/hnoPhQNIf7P0qCE+djfkIOuAOa3VtbZG3rboGHQhBmn1y5RklXLa861Wu6jkktVslr1bPmc1zSGZVZShSVNOTlaOyv0Wi0WwVzmo/DbS9R+IFp4/lunEttDtNuEG12GQrZ6jAJ49h6HPR0V7FfDUMSoqrG9mpL1WzPLp1alJtxdrq3yZznjD4b6X4w1/S9fvLp4202Xc0aqCJlBDBSe3zAc+hI9x0dFFFLDUKNWdSEbSm02+9lZfgEqtScVGT0WwUUUVuQeRJ4Ha9/ajHiE6c8AtJzqDSxKds7GwNorMTn+FscY5jHoc+u0UVw4HArAqolK/POU/Tm6fI3r13XcdLcqS+4ju7S1v7WWwvraOaCeNo5oZUDJIhGCrA8EEHBBrj/gh+zt8EP2bfAqfDP4F/DTS/DWhJdy3Q03ToSEM0hBeQliSScAZJ6KAOABXaUV2OEHNSa1XXrqEcTiYYeVCM2oSabjd8rcb2bWzau7N7XdtxFVUUIigAdABS0UVRgfm/wD8HOmv/E/Sv2GNA0rwhJeJ4f1Pxzbw+LWtkyjxLDLJbpKR0QzojehdE74B8g/4Ja/Gu21z9iPwtoHxq/ayvLP7NNcafZ+FdR8a2lvCdNik8uCBoHxJ5ZUFQCQSoAHGK/Vv4ufCH4Z/Hn4eal8J/jD4NsvEHhzV40TUtJv0JinCusi5wQQQ6qwIIIKgir/hDwL4O8AeFNM8DeC/DVnpukaNYQ2Wl6fawhY7a3iQJHGo7BVUAfSvlMz4dxWYZjLEQxDppxS0vf03WnX1P0+HHuAj4a0eGnhE6tOvKr7TSzTi0ul+bWz6csY69uW/Zx8MP4c8BTXUolD6tqkt8yyjGNyogwMDgiMHn19MV31FFfQ4LDLB4OnQTvyJK/eyPzWvVdatKo1a7ufFv7c3jm28P/tGeJrb4m+Mp9J8PWXwRe60AzyJHBlrm6GpzRFuJJkWPTQRztDx8fvOeW/Zg/aAvPEPg3wjJq37XmoeIPFureGbM6joNz4ys7iRr1reOSYLbwgMHVw/yr0AYYxX2N8Yf2cfgZ+0BdeHr34z/DHSvEcvhTWU1Xw6+pQlzZXaEESLgjPRcqcqdoyDgV2S2tsjb0t0BHQhBmvmcXwzjMVjq1eOKcFO2iv2tZ6rbp5H1dfP8reVUKNPD3qxS5m1FJcqsuRq7974p3t7219yHRnvZdHtJdSXbcNbRmdfR9o3frmrNFFfXRjyxSvex8g3d3CiiiqEFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFeN/Hb9vb9mL9m/47+A/2cPi145nsPFXxGuBF4ftodLnmhj3zJbwvdTRqUtUluJEgjaUqJJWCDJr2SvzO/4Kq/BP43+Mf2/vDumeBPg94o16x+KfhzwFoml+JdH0l57Dw/caD45TW7+S+mX5bRPsTGSNnwJHiKLlsCgD9MaKKKACvLvAH7YnwN+Jn7Tvjb9kPwhrOoT+NPh9pVlqHia2l0ieK2ihus+V5c7qEmPHzBCdp4JyCB6jXxd4H+K0d3/wXS8b+HF+FnxBitJPgbo+gReKbnwJfx6HLf219f6hLGmomP7O4EF5AAQ2DJvjHzIRQB9o0UUUAMnnitYHubiQLHGhZ2PQADJNeQ/sjft2fs7ftu2fie4+A+vatNP4P1aOw1/Tte8PXWmXdu0sQmt5vJuo0cwzRMJIpANrryK9euJlt7d7h0ZhGhYqi5JAGcADqfaviH/gjd8TtQ/aH8TfHT9qT4i/C3x/4Q8dePfHFtNqug+NfAl9o0Wl6NaRS2ej2VvJdRIt6620Dzzyx5Cy3hXgBcgH3DRRRQBzPxk+LXhH4E/C/Wvi747GoNpOg2RubuLSNLmvruUZCrHDbwK0k0jMyqqIpZmYACsf9mP9pb4S/te/BPR/2gPgjrF1e+HdbNwls1/p8tpcQzQTyW88E0Eqq8Usc0UkbIwBDIaj/av8V6H4L/Zv8Z694o8M+NdX0saFNb6nZfDi3nl137NPiCWWyW2ZZvOjSRpVMJ81fLymWAB8V/4IpeBvH3w4/wCCdHg3wp4+8Ha9oJj1fXp9A07xZZfZ9YGjzaxeTafJqCEBhePavDJKXG8u5L/MWoA+rKKKKAPOP2tf2r/gn+xH8ANe/aY/aG8SS6V4T8OLAdRure0e4lLTTxwRJHEgLSO0kiKFAzznoK9CsruDULOG/tiTHPEskZIwSrDI/Q1+f/8AwcY/Bj9qT42fsYDRf2fPgT/wsTStLtNav/FGgW2sC2u0k/sqe3srqCERSvfPDJcSTLaooaSSOLDKV5+5vhVdeKL74X+G73xv4aTRdam0GzfV9HivRcrY3RhQywCYKolCPuXeFXdtzgZxQBv0UUUAeO/Ez9uD4O/Cz9qHwx+yHrHh/wAZ6j4v8VabBqFq3h7wZe39hYWs1xLbxzXt1CjR2cZkhkG6UqPl617FXwD/AMFDvCXjH/h5b8CfHH7PnhT40w/EeXXPD9hquueHYJx4MuPB8eoXkur2+qSJ+5MqQyyMiTfNvkgMWTvx9/UAFFFFAHk3gv8AbX+APxC/aj8S/sgeENc1O98YeEbFZ9eeLQbn+zbeQpDI1p9u2fZ2uliuIJGgD71SVWI649Zr8xf2Gfgx+1L8H/8Agtb8XYpbH4nW/hHX/Eni3xB4rl1Uz/8ACIXlhero0mhSWG79y1+JBqMcxT94Eh2v8ojr9OqACq+r6nDouk3WsXMM8kdpbvNJHbQtJIyqpYhEUEuxxwo5J4FWKKAPEf2N/wBvz4Gftxy+LrL4Q6L400u+8D39rZ+JNK8ceC7zRLu1luITPCDDdojndHh+nRlPRhn26vmH/gl14M8Xf8IP8Uv2h/iJ4W1PSNb+Lnxr8Q+IBY61YyW13DpdvOulaYkkcoDoDY6dbyKCBxLkcEV9PUAFcT+0b+0L8Lv2VPgtrvx++M2r3Fl4c8PQRyX0tnYyXU7tJKkMUUUMQZ5ZZJZI40RQSzOoHWu2r5k/4LF+EvGnjn/gnP8AELwv4H8F6z4gmuG0ltT0vw3ZNcao2lpq1nJqEljGoLG8jtFuJISnziWNCnzBaAPYf2bP2jPhZ+1l8FtF+PnwY1a6vPD2urOLVr/T5bS4hlhnkt54JoJVV4ZY5opI3RgCrIRXdV8v/wDBG7wl4v8ABH/BPPwX4d8X+Ctd8PiPU9dl0TTvFdk1vq/9ky6zey6fNqCOA4vJbR4JZjJ+8aSRmf5i1fUFABXjv7Yn7eP7NP7CHhzQfFH7SPjK60q28R6s1hpi2Gkz3sh2RNNPcOkCM0dvBErSSzMAkaDLEZFexV+eP/BxD8BPHnxi/Z/8M33wXT4gnx4ya/4W8OQ+B/Ao12G/j1zS5LG4sb7Lr/Z8Ey7B9vOVg2EkZZaAP0Lt7iC7t0u7WZJIpUDxyRsCrqRkEEdQRT6wPhV4WvvA3wv8N+CdUuVmudH0CzsbiZTkSSRQJGzAn1Kk1v0Af//Z", 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", "info": {"equation": "13+19*1=32", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "b398d4c02899b4baa43c66395940174958b3f27e72df46979836e43c19d0a1f7"} +{"episode": 43548, "episode_seed": 3059303566, "split": "train", "timestamp": "2025-10-28T03:46:53.453216", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 3059303566, "verbose": false, "save_verbose": false, "elicit_verbalization": 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": "15*9=135", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "15*9=135", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "f8d8b8e869b94179dc98caf3c4f2e174c1b353123a2758315031952571231bb5"} +{"episode": 43549, "episode_seed": 916590275, "split": "train", "timestamp": "2025-10-28T03:46:53.518925", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 916590275, "verbose": false, "save_verbose": false, "elicit_verbalization": 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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", 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BRTfNHW/PJtp+7FJX1k5e76xXh3/BSrxN8YvBv7BvxT8T/AJ75PFll4Tnk0yXTIt9zCuVE0kQ671hMrAj5gVBHIFe40EBgVYAgjkGvs69N1qMqadrpq63V1v8j5fK8ZHLszoYuVNVFTnGTjLaXLJPlfk7Wfkz+bX/AIIu/F3xr4B/akuvDtv8c9S8F+F9a0W4l8UXVtr0NjHO0KMbYvJNlSwlkwMfMQ7di1fof8f/AAp+x58T/hz42+JvxD+J+m+N9a07wsVTxVqHiO21TU9HEe97NbQqf3D/AGkgxoigyyttO/dtr7b/AGVvg1+xJ8L/APhKv+GP/Dvgi1+3a1/xV3/CI3sNxtvU3Yim2O/lMm58RfKF3NhRk14D/wAFEv2f/gp8S/jdqHxA8ffDTTNW1nwt8NrSfw9f3cbFrGT7Tqb7lAIUnciMNwOCoIr8yzHh7E5flHPLEuUU17qvy6u11r89tz9v4p8R8DxT4if2rTw9TCxUIp8tlVlyq/vapLmdo3vK0FF8srcp9X/s+6l8Q9Y+AngjV/i5ayQeLLrwhps3ieGaARPHqLWsbXKsi8IRKXBUcDpXX0UV+oQjyQUb3sfhGIqqviJ1VFR5m3ZbK7vZeS2QV4P+2f8AFibwpoB0rR7M3t5b+WLTT1ZQb3UJ3WGztgWZRl5ZEXBI++DnivaPFXiXTvCOhT6/qjHyoFHyr952JwFHuSa+cvhVoGofG79qVfEeu27PpPgWL+1rlnC7LjWbpHjtk2mM7hBbmeQlWXDTwHBI4+bz+q8VUpZZTfvVXeXlBat/O2nozty+CpRlipLSO3nI9p/Z7+Edr8EPhHpHw+S4S5vYYmuNa1BYBGb7UJmMtzcMATgvK7tjJwCBnAFdpRRX0dOnClTUIKySsvkebKTnJye7CiiirEfJv/Bb7xP8YvCX/BNH4jar8FJb+LUGtbeDVp9Nj3SxaXJOiXjZHKr5JcMw5VCx4AJH5+f8Gr+tfFaP48/Ezw7psF03geXwnBcaxILYGFNUW5RbQGTqrmF7zCj7wUk/dFfsD+0hBDc/s7+Pba4jDxyeC9UV0YcMDaSgg14X/wAE4/gX8IPgB4n8beEfgx8PtP8ADum3OjaHd3NrYK2JZ2k1JTIzOzMxwqjk8AcV8nmGHk+KsJPmesZaf4U3+N9T9e4f47wOV+FOZ8OzwilUr1IyVTSyT5fi63hy3hbrJ7W1+qKKKK+sPyE/mC/ad+K37Tmn/wDBT3xP8SPF/iPVdM+I2m/EqRbO9uQkM1iY7jy7UIH+RI1hEYQn5NmDkg5P67+Ibj9nP456jpfhP4k/tGWvxHht9UW50rwv4j8bWeo2st4qsscn2VcCd1DPtVgwGSduQCOq+LfwC+DGq/t3X/x71P4cabceMrH4j+GLSz8QTIzTwwmHSl2KCdo4kcZ25wxGa9a/4KI/CX4a/GH4UeG/h78TvBtnrOi33ja3N3p1yGCS7LS7dclCrDDKp4I6V+VPKK88PjqixEkqcpXXSVtbvXr6M/e+NPEjLuKsTk0aGFeG9hSjCU4W5leyappOPuRS9xOUfiknbd85/wAEnI4dN+CvjPwr4N3H4f6N8TtUtPho8cSi2/szZBJMltIufOt01B7+NHychMZIUV9S15F+wv4V8OeBv2a9K8GeD9Ft9N0nStY1m107T7RNsdvCmqXSoij0AH19a9dr9DyaDp5TQV7+5H8Vc/HuIsdDMs8xGJgrKUnvu7ac0u8pW5pPrJthXj37MnwY/Yg+GviTxrffsoeHPA9tqmoaxjx1/wAIrewzyR3ivKfKuFR28hlZpcRYUA7sKMVP+3l4g+LnhX9jL4m+JPgOLz/hL7LwZfTaC2nQ+ZcJOIid0S93UbiuATkDAJwK/AD/AII7fF7x74F/bAj0+z+N+p+D9A1/TLs+MdRg12KyW4SOGSSAySz5Ut9oKYP3vnYDhmry87z2hlOMoxqUua6bvpddPd8++q0P0Tgjw+xvE/A2cZrSx3sY4dRvTu7VOX3/AH7Pb/n3o7z7Wuf0rR28ER3RQop9VUCn18h/BD4xjxBrY0D4dftH3Pje8W5jna3fxTb6jJEv3ORBgrGc85GO9fXgzjmu3KM6o5wpunCUVG2/W/8AX5H5djMFPBuKk079gooor2TiK+rvfR6TdSaYm65W3c264zl9p2jn3xX80v7D3j/9q3UP+CungrxlevrNx8S7/wCKIj8Wrc2m66CyTNFqiSxsMIqWxuQwwBGqHG3aMf0xV8Q+AvgN8G9H/byT4+aZ8OtOi8Z6l8UtWtL7xEFY3EsAsr1dnLFVG2NASoBIXk8nPyXE+HlVxGDkpNfvEtPO2vqraep+veF/HmB4Oy3OMNiMIqzxNBxi3bRpSXLK/wBiXNeSWt4rTqvt6iiivrT8hCsL4oaOviH4ca7oEmmJepfaTPby2jg4mR4yrLxycqSOK3aKzrU/a0pQva6av6lQlyTUux5N+zB4Nk0qXXvG0wnVtW+y2wWRcKVt/OO5eM9ZmBPT5e2DXrNFFcuW4JZdgYYZSvyrfa+tzXE13ia8qjVrhX8v3iv40ftV6D/wUy1P4o+KvG2t6D8TV+IkttqWpPMtrcWZaY2zxZf5I4lgPlgH92IwB92v6ga88T9k79m+P9oCT9qlPg5oo+Ictl9kk8V/Zz9qaLyxFjOdu7ywI9+N2z5c44rzs+yevm8aSp1OTklfr96t1XT1ep+oeF3iJl3AKzFYrBqv9ZouEdtHr7sr/wDLud/ftd+7HRny1oXxJ+GPivxXY6fH+1e/jK7juXfSNI1DxxaXv74xunmRxR4ZpBG8i98K7cdx9c/Ajwc3gP4V6Z4dfzg2+5unWcAOrXFxJcFSABjBlIA6gDnmurW1tUYMltGCOhCCpKjKciqZbi5YirXdSUly6rpe+7bPznF4+OJoqnGCik76f8Mgrw7/AIKVeJvjF4N/YN+Kfif4BPfJ4ssvCc8mmS6ZFvuYVyomkiHXesJlYEfMCoI5Ar3GggMCrAEEcg17tem61GVNO101dbq63+RGV4yOXZnQxcqaqKnOMnGW0uWSfK/J2s/Jn82v/BF34u+NfAP7Ul14dt/jnqXgvwvrWi3Evii6ttehsY52hRjbF5JsqWEsmBj5iHbsWr9bfBCeBfjfc6n4U8NfG6TxvqWrWcdjf3w8SW+o3VtbEyBFzEMRopklYblxlmJJHA+mfgX+yZ+zb+zN/bf/AAoT4N6J4W/4SO+F3rf9l2237VKN20nJOFXe+1BhV3HAGTXoMcEERzFCik9dqgV8RQ4OxSoRp1cU+VO/Kk+Xe/V/pufpniV4jZfxtxTPNMJhPZRcIxV7czsvilZPXXlWr92MfRPooor7w/JTK8a+E7Pxt4cn8PXszRCXDJMoyY3ByDg9fp6Gm+B/CFl4H8OQ+H7KZpRGS0kzLgyOTknA6egHoB161r0VzfVMN9a+s8vv25b+V72NPbVPZeyv7t728wooorpMwooooAx/iFpS674C1rQ5NOS8S90q4gktJM7ZleNlZDjnkEjj1rzr9l7wY+lX+v8AjOWKeM6hb2ViqSLhdts1y2RxnObhgecfKBwQa9dorza+XKtmdLGOX8NSVu/Np/XyOmGJcMLOjb4mtfQKKKK9I5j8qPiz8avE3hj9k34jeNvFvxWvtG+KifEm9SWW4uIIr6z1xNXVdPto45cqkYtobXZxt+zqZASoL17Xo/xL+F/inxNp+ny/tav4uukuy2l6PqHjqzvA1wUZA6RR4ZnCs4GM8MeK+qL/APZL/Zt1T9oG3/ap1D4N6JN8Q7Sz+y2/it7Ym5SPy2i9dpby2ZN5G7aducACvQFtbVGDJbRgjoQgr4VcIYyTqp4tpTbdkm7p/wA2qu+591nXE2UYz2csJhrSvKcm1Fcspcv7uFr/ALuHL7jdn7z91Wu+R+APhBvBPwssdGcTB5bq8vZFnGGVrm6luCuMDABlwAecAZ5rsqKK+zw1BYbDQop3UUl9ysfEVZurUlN9W394V518FP2Sf2a/2ctY8Q6/8Dvgzonhq88V3guvEE+m2203kgZ2GckhVDSOQi4UbjgCvRaK0lTpykpSSbWz7enY1pYzF0KFSjTqSjCpbmim0pWd1zJaOz1V72eqGR28ER3RQop9VUCn0UVZzhRRRQAV4Tonw1F5+0al+NKls10zxDc6w3kKQkjyQTxb2LZ4fzi3GPmHHQivdqK83MMuWPqUZOVvZzUvW3Q6cPiXh4zSV+ZW9Aooor0jmCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArkPj58d/hX+zF8G/EPx9+NviqLRPCvhbTmvdZ1KVGfyowQAFVQWd2YqiooJZmUAEmuvr5N/4Le/BX4n/Hn/gmz448HfB7wleeIdc0/U9C16Lw7p0e+41SDTdYs76e2iT+ORobeTanVmCqOTQB7J+yX+158D/21/hQfjD8BtdvbrTYNWudL1Oy1bSprC+0y/t2CzWt1bTqskEq5UlGAOHU9CK9Or4u/wCCNvhbx/qEH7QX7S/iv4a+JPB+j/GP496j4m8G6B4u0iTT9RGmCxsrRLme1kw9u8sltI2xwG2hSeor7RoAKKKKAPG/2yv28f2c/wBg3wvoHi39onX9TsrXxLrsWk6SulaHcXzvcSMqguIUYRRgugLuQuXUckgV7JXwx/wcI+LNStf+Cf8Ac/DXw18LPHXivWvE/i/QW02x8EeC73WHjWy1eyvZ3mFrG5hXyYJCrNgMwCjk19lfDH4gaV8V/hzofxN0LStWsLLxBpUGoWllr2lS2N7BHLGHVJ7eYLJBKAcNG4DKQQQCKAN2iiigArwL4lf8FL/2TfhF+1ZoX7HPxC8U61p3izxFqNtpum3s3ha9/shtRuYTNb2Daj5X2YXUkYDLFv3YIzjNe+1+cf7d3xrv/jV/wVc+EP7KPxT+CvxSt/hX8MPEmk+Ll8Q+HvhlqepWPibxdIdmmwvewQtDaWNkJzPPK7cyYRtqxs1AH6OUUUUAFFFFAHgX7O3/AAUs/ZV/ag+P3iL9mb4Y674hi8XeHNMfU3sfEPhG+0xNS09Lk2rXtlJcxIt3biYbPNjypJGMjmvfa/NX9g7SvFPxA/4LSfET9pP4Y/BT406B4K1j4UTWHxAu/jXo9zD9i8RDVxLBYaM90WK2giM7tHbMbbOwr2r9KqACiiigCO6uraxtZL29uEihhjLyyyMAqKBksSegA5zXlP7GP7bX7Pf7ffwhn+On7M3ii51nwzBr95o41C50+S2824tmVZCiyAFk+YFXHBBrE/4KX/D/APaF+LH7DvxA+F37LmiQ6l4w8R6ZFptvp82uJphubKa5ijv4ku3Vlt5Gs2uVSQq21mU7SRivnr/g3y8FfHv4bfs/fFzwP8bf2V3+FEEPx/8AFF14e0NtUNyn2ea6y0UBMEXmW0JVY4rlQUuEAkUKOKAPvqiiigArxr9sT9un4K/sQ6b4Xvfi7pHi/U7nxlrUuleHNI8EeELvW768uY7aS5dVt7RHkIWGKRyQOApPavZa+Hf+C5Hgj4aeJ/gz4V8ReOfBP7QF/rHh681W88C6x+z5a3b6jpetvp0tvA072f7+KOQTOgYfuz8wkIU4IB9meAfGWnfETwNo3xA0jTtSs7TXNKt7+2tNY06Szu4Y5o1kVJ4JQJIZQGAaNwGVgQQCDWtXkn7BKftCR/sUfClP2sGuD8Sh4C0v/hNzeFTP/aX2ZPO83b8vm7s78cb91et0AFFFFAHiPxs/4KGfsxfAL9obwz+y3468R6xP4z8TwQXMenaF4avNRTS7We4+zQXV/LbxuljBJPmNZJSqlgecDNe3V+PP/BRH4BftkeC/+CxuqfGr9n/SvjCuufEAfDtPhxq/gcXP/CM+VYai8Wu22vtH+5WJLJ5ZUSf5T9oYpl+n7DUAFFFFABXzX8C/+Cqn7NHx+/aeb9kHw54W+JOh+NzpN7qdvZeNPhtqWjw3VnaSrFNPFLdRIske91AZcglhg819KV8efsm+AvHPxV/4Km/tE/tf/EHwZq+maX4Z03R/hd8M5dY06W3+1WNtH/aOqXUHmKPMhlvblEWVMq/2U4JxQB9h0UUUAf/Z", 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", "info": {"equation": "133/19=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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", 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", "info": {"equation": "133/19=7", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "b0805baa784e3954868cbbcf54be9a2dc9b66debbfda64a890422c1a502d842d"} +{"episode": 43550, "episode_seed": 735008072, "split": "train", "timestamp": "2025-10-28T03:46:53.579100", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 735008072, "verbose": false, "save_verbose": false, "elicit_verbalization": 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": 43551, "episode_seed": 3478037727, "split": "train", "timestamp": "2025-10-28T03:46:53.638880", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 3478037727, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 0])", "action": "('move', [5, 5, 1, 0])", "reward": 0.0, "image": 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", 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", "info": {"equation": "17*2=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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", 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", 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", "info": {"equation": "17*2=34", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "118880ead855e6ecfba5f2f6cf82431ca90f326bbee9687965b2ce7097c359a1"} +{"episode": 43552, "episode_seed": 2566252152, "split": "train", "timestamp": "2025-10-28T03:46:53.723939", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 2566252152, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [8, 0, 5, 8])", "action": "('move', [8, 0, 5, 8])", "reward": 0.0, "image": 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", 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NU1O+s3CxX9pLIhP+jJpizyNGAFQRrJgN8x+yvhx8LP2TfD3x98deOPhfofhJPiNqy2n/AAsGXTLqKTUQCmYPtMQYtDvUbhlV8zAY7iM143q3wa+Fa/8ABSCD43DwLYf8JbFrUGmxa9sbz0tDoTsYhztAJJ5AzgkZwcV+c1sgxOAnRnLEuSdaKsr2u5b7/F303vqfuPFPiPgeJeIfr9PCSw6jhY03FJfvLRvyy1X7p8yS+K9OMfdu/d+sq8T/AOCkGv8AxP8AC37B3xY8Q/BqS8TxJaeCL6TTpdPTdPF+7PmSRjrvWLewI5BGRyBXtlNliiniaCeNXR1KujjIYHqCO4r9Cr03Woypp2umr9rrc/GcsxkcvzKhipQU1TnGTi9pcsk+V+TtZn8+P/BEjxj44ns/ip4FuvEd1/wjNl4Gv9QtdPaZfKt76UQxyTqDyrNHFGCemI1z0Fftr+yZ401Lxz4Wl1qLxi3iHSnt7f7FrJvVuVuGClWZZU+Vydo3FeM+ma8f+PX7OvwQ/Zl8GWXw/wDgH8NNM8LaNPoPiW+m0/SoiqPcSLYh5DkkkkKo68BQBgACvrezREtIlRQoEYwAMDpXw2QZLXwebTjKs/3XLdK9pc0Xbr9npp9x9/4lcX4LjHPq+a4bD+zhXeiduZcijG7tpeVruz67vckooor74/Mj5O/4LgeIPih4a/4JifE/UPhRLeR3slhbW+pS2CbpE02W6ijvOnIQwNIHI6IWPAya+dP+DW7VfiLd/slePNK16K4/4Rq08cKfDsksACGZ7ZDdKjdWAIgJHQFj6mv0E/aa06x1j9nHx9pGqWqz2t34N1OC5gf7skb2sisp9iCR+NcB/wAE/fhf8PPg18K9f+HXws8I2eh6HYeL5fsmm2KkRxl7Ozdj8xJJLMxJJJ5r5yvRb4oo1OZ/w5adNH/9t+CP0vA8X4TDeFWL4ceGTqVMRCoqmmiUVp3uuWy6cs5bdfd6+PP23PGcGhftOvZ/EzxbLpPha3+Dd5daO1xIkNs05u3Gpyq7Y3zRQJYHBztWUnHzGvsOvlz/AIKZfBz4W/GfRvC2lfFXwNY69a6VDq2o6fb36sUhuo7ePZLgEZIyeDlTnkGr4ppupkdWztaz/FaHy3C+JwWHzZLFxbpyTi3FJyV1vG9lfS260bPhL/gvh4x/aIu/+Cbn7Ntv4y/tWK21myt5/iAJ7MQ7tWXTrdrdLgKB5b5a8by+BuQ8ZQY+9v8AgjbqvxE1n/gmT8IL34nxXC6kvhkw232qERubCO4ljsWwOqm0WAq3VlIPetf9tf4XfD741fs9+E/h78VvCltrmiX/AIg09rzTrwsElKWszqSUIPDKDwe1ejfstWNlpf7OPgjS9NtI4La18MWcNtBCgVIo0iVVRQOgAAAHoKwwWHlS4kqtzb/dQ39bf+23+bPsM941wWa+G2EyOnhFTnTxNWq5q1rS5morr9vlfTlpw32Xe1zvxZg0yf4d6qNWbES2xZWCgkSAjZjPfdj866KvGP2wviReeHfBsvh/w3aNd6nsWSC0XpNcO3l20WcHG6ZkyccDnkV6Wd4mGGyuq5K91ypd3LRI/OMDTlVxUUtLO9+yWpxv7Euu+GvGXxr+IWrvGTqWj21npWlPLHHhrJZJvtEkLByzBrxJIpAVXBtYuvWvpmvmXwh8H7r9nD4xeA7Tw9dedBZ6a2mavPNJGrXtvdKrTylvLGX+2xRzYGz5WfuQp+mq4+GpKnl7wsladJuMl87p/NM2zNc2I9qndTSa/wAvkQ6k12mnTvYLunELmFcdXwcfrivgj9h/4ieK9X+JfwOsbHxZf6hrmq6Dr1x8S7e4SN51byd97Jdr963dNXEMQHy4YsmOCB9+18o/stfBz4XeCP20/GnxK8JeBrGw1/xTL4mbxDq0Kt518Y9YgCbySQAAeigA9Tk1OdUXUzHBSUmrTenyv+lvRs9jIsfgMNlWNpV6fNKUU4OyevLOGreqS9pzpq/vQira80fzA+DPjX9pa9/4OQZtR1VdTl8RN8VtR0+/imtQWTQFWWIDaRhYV09UZWH8IVgSSM/vbXylb/B34XQf8FKJvjhF4HsR4un1z+zZdfKsZzaDw2GEXJ2gZA5AB4xnFfVtLhyi6MMSnJv97Pfyt+fU+i8S+MMJxfXy6pQw6oqjhqVNpW1cb3tb7K2inqkR3lraX1pLZahbRzQTRsk8MyBkdCMFWB4IIyCDXnP7LXwz/ZX+G3wmh8O/sjaR4Vh8HNf3E0J8KXkd1aPcl8TN5qO4Zwy7T8xI2heAABxP/BVLxB8UPC3/AATu+LmvfBuS8TX7fwhOYJdPj3TRW5ZVupE7grbmZtw5XG4cgV+Sf/BC34y614b8F+PvBHi39pzUvBPhq1vrO60awi8V22nxSXkqyLcuomBLHZFb5xwMDuaWcZ9h8ox1OFSk5Xi3dWutdlf0117F5BwPi848Ocwz2ni+SFGrTi6V3aey5mr2uvae5o9OfY/etVVFCIoAHQAUteW/st+MNS8beGbnWx4qbXNMlELafq32tbhLj5SGZJF+VwcKSV4yTXqVexl2NhmODjiIxaUr6PfRtfofnGJoPDVnTbvYK+Of+C9Wv/E7w9/wTD8fT/DB7xGuXsrXXpbKPc66XLcolyCeqoykI5H8DMDwTX2NXnn7Wei6V4k/Zm8d+HdesUurHUPC95bXtrLnbNDJGUdDjnBUkfjRmNN1cvqwTteMtfketwvmlPJOJMHmFSmqkaNWE3F/aUZJ2/DTzPhz/g2C1X4iXn7D3ibTvE0U40Cz8ezr4YkmgCqVa3ha4CN1dRKSe4DMwz1A/SavEP2Bvhv4D+EXwf1T4dfDLwtaaLoemeKrpLDTLJSI4Q0UDtjJJJLMxJJJJJr2+uXIYuOTUFe/up/fr+Gx6PHud0OJOMsdmdGn7ONWo5KOmi2u7aczteX95vVn4g/8HSXij4rQ/tPfDXQLq5vYvCdp4Oe80EBMQHU2u5FumU/xSLGlnkH7oZcfeOfpXwTq3wY/aN+FvgvTP2nP2gLP4gai2h2uoal4W8VeMbK6tY9RNiRcSm1QqN8avcYzkRgswwVDD7d/aK+GP7KXxGvvBk37TujeFLq40vxTBN4HPie7jhb+1j/qktw7r5srbR+6G7ftGVOBjjf+Cg3wd+F3xo+GXhrwF8VfA9jrmj3HjOKWbT7xWCO6WN6yE7CDwwB618xnmRYi+KxixDUWr8qvrZbPVfLR6H29Xj3B4/hvI8nWGlRlhXUTrRS5nzy1dPWN3bWd5RvLqa//AATy1bxNrf7GXgTUPFF7fXTnTZk0y71JNs9xpiXMyafK/wDeL2a27bjywbceSa9nrjP2cbe3s/2fPA1paQJFFD4Q01Ioo1Cqii1jAUAcAADGK7OvtcHFwwlON72ite+h+U5rio47NK+JjHlU5ylbtzSbt02vYK8h/ae8CN441LRdM/s5z9sguNPF5ACZI1maMuo6gcIG5H8B7A169RWWZYFZjg5Ydy5U2tfRp/oc+GrvDVlUSva/4qwUUUV3GB/Od+wf8avjton/AAVR8R6v8VfjJrXg7U/EGp63D8SNRk1WLT5NyGWTyZWm+SPbcxxKFAyMBVwMiv2F/Zbj8I/Ef4h2PiLwr8Un8YHTNUkvdS1pdbh1CRpvsjwIk0sXyjCOoC8HAH4+6+Dv2bfgR8P/AIq+Jvjh4M+Fuk6d4s8ZCIeJtdt4MTX4jGE35OB0BO0DcQC2SM12scUUQIiiVQeoVcV8Xg+FMTQrwqVMS3GM+bl1s7O667vrofqfiN4hYDjXNYYvC4NUUqEKT23infZbJvljr8MY3S2TqKKK+0Pyw8j/AGqPBJ8bQaTpg053N1Fd6eLqBSZIhcCMMo6gZ2A8jqn1r1uNBHGsYPCgAZpaK4MPgVQxtbEc1/acunblVvxN6ld1KEKdvhv87sKKKK7zAxPiTpY1v4fa3ozaet2t3pU8L2rA4lVoypXjnkE9K5f9mvwy+geCL3UJBKG1jV3vSsoxj9zFCMcdCIQefU9sV6HRXDPAqeYwxfN8MXG3q07/AIG6ruOGdG27Tv6BXx7+234zt9C/afay+JniyXSvC9v8G7y60drmRIrZ5jduNTlVmxvmigSw+U52pKTj5jX2FXFfGn9nL4GftF2mjWHxw+GOleJofD2sR6ro0eqQlxa3cYIWRcEZ4JypyrdwcCsM6y+pmmXyw8Jcrdtemjvqerw/j8Dl+Yc+Mi3TcXF8qTkr9Y81le+j1WjZ8P8A7Mvxf0f4g/Db4fzePf2qLrxP4oudBsribw7qfi+zmb7e1sN+LWIBhKu5xsH3ckY4r71+FHhgeC/hnoPhQNIf7P0qCE+djfkIOuAOa3VtbZG3rboGHQhBmn1y5RklXLa861Wu6jkktVslr1bMc0zOnmFRyp0lTTk5WWyv0Wi0WwVzmo/DbS9R+IFp4/lunEttDtNuEG12GQrZ6jAJ49h6HPR0V7FfDUMSoqrG9mpL1WzPMp1alJtxdrq3yZznjD4b6X4w1/S9fvLp4202Xc0aqCJlBDBSe3zAc+hI9x0dFFFLDUKNWdSEbSm02+9lZfgEqtScVGT0WxDqTXaadO9gu6cQuYVx1fBx+uK/Lnwv8cm0aw+B/wDbX7R+o+Gdc1uz1mTx/ePrdrY3bzeQ0l8t00oPkuuqLGmwAHcGTHykD9TK4jwH+zb8CPhh8RvFXxb8AfC3SdK8SeNp45vFWsWtvibUZE3bWckkA5ZidoG4nJyea8fO8nr5rOi6VV0+RvVXvqt1ZrXpvs2fSZFnGW5bgcTSxNHnlNLk0Vr8s42k3qkufnTSfvQira80fEv2Uo/CnxC+INl4s8K/ExvFw0u/nu9Q1xdZhv3luDZtbBJpYvlyI5EAXg4RffP1JTY4oohtijVR6KMU6urKMslleGlSlUc25OTb3u7eb7dzw8Zili6qko8qStYju7S1v7WWwvraOaCeNo5oZUDJIhGCrA8EEHBBrj/gh+zt8EP2bfAqfDP4F/DTS/DWhJdy3Q03ToSEM0hBeQliSScAZJ6KAOABXaUV6bhBzUmtV166mccTiYYeVCM2oSabjd8rcb2bWzau7N7XdtxFVUUIigAdABS0UVRgFc/8V9KGufDbW9HbTlu1udOlRrZgT5gI5GByTjp710FFZV6XtqMqd7cyav6qxUJck1LscB+zj4Ybw74Bmu5PNDatqkt8yyjGNyogxwOCIwefX0xXf0UVlgsMsHg6dBO/Ikr97IuvVdatKo1a7ufiJ/wdEeMfi/pn7U/wx01NR1G08M6f4SbUPDksOY411X7Y4uZEccmVUSz91BUjG45+s/2fvi1pfxG8H+CW8dftR3HizxbdaFaXNz4fv/GFndMupPZjzyltCA3mLvmGBnaC3HHH2n8YP2cvgb8f7rw9efGf4Y6V4jl8J6ymq+HX1KEubG7TBEi4Iz0GVOVO0ZBwK7JbW2Rt6W6AjoQgzXzGN4XxONxtaqsS4xqW0V3fS1nqlZdN9D9NzjxBwGY8GZTk1PBqNTBqpzT097nldcul1fed95aox/hr4cXwf8O9B8Jo0hGmaNbWoMuNx8uJU5wAM8Vt0UV9dTgqcFFdFY/LpPmk2FFFFWIKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK8b+O37e37MX7N/x38B/s4fFrxzPYeKviNcCLw/bQ6XPNDHvmS3he6mjUpapLcSJBG0pUSSsEGTXslfmd/wAFVfgn8b/GP7f3h3TPAnwe8Ua9Y/FPw54C0TS/Euj6S89h4fuNB8cprd/JfTL8ton2JjJGz4EjxFFy2BQB+mNFFFABXl3gD9sT4G/Ez9p3xt+yH4Q1nUJ/Gnw+0qy1DxNbS6RPFbRQ3WfK8ud1CTHj5ghO08E5BA9Rr4u8D/FaO7/4LpeN/Di/Cz4gxWknwN0fQIvFNz4Ev49Dlv7a+v8AUJY01Ex/Z3AgvIACGwZN8Y+ZCKAPtGiiigBk88VrA9zcSBY40LOx6AAZJryH9kb9uz9nb9t2z8T3HwH17Vpp/B+rR2Gv6dr3h660y7t2liE1vN5N1GjmGaJhJFIBtdeRXr1xMtvbvcOjMI0LFUXJIAzgAdT7V8Q/8EbvidqH7Q/ib46ftSfEX4W+P/CHjrx744tptV0Hxr4EvtGi0vRrSKWz0eyt5LqJFvXW2geeeWPIWW8K8ALkA+4aKKKAOZ+Mnxa8I/An4X618XfHY1BtJ0GyNzdxaRpc19dyjIVY4beBWkmkZmVVRFLMzAAVj/sx/tLfCX9r34J6P+0B8EdYur3w7rZuEtmv9PltLiGaCeS3ngmglVXiljmikjZGAIZDUf7V/ivQ/Bf7N/jPXvFHhnxrq+ljQprfU7L4cW88uu/Zp8QSy2S2zLN50aSNKphPmr5eUywAPiv/AARS8DePvhx/wTo8G+FPH3g7XtBMer69PoGneLLL7PrA0ebWLybT5NQQgMLx7V4ZJS43l3Jf5i1AH1ZRRRQB5x+1r+1f8E/2I/gBr37TH7Q3iSXSvCfhxYDqN1b2j3EpaaeOCJI4kBaR2kkRQoGec9BXoVldwahZw39sSY54lkjJGCVYZH6Gvz//AODjH4MftSfGz9jAaL+z58Cf+FiaVpdprV/4o0C21gW12kn9lT29ldQQiKV754ZLiSZbVFDSSRxYZSvP3N8KrrxRffC/w3e+N/DSaLrU2g2b6vo8V6LlbG6MKGWATBVEoR9y7wq7tucDOKAN+iiigDx34mftwfB34WftQ+GP2Q9Y8P8AjPUfF/irTYNQtW8PeDL2/sLC1muJbeOa9uoUaOzjMkMg3SlR8vWvYq+Af+Ch3hLxj/w8t+BPjj9nzwp8aYfiPLrnh+w1XXPDsE48GXHg+PULyXV7fVJE/cmVIZZGRJvm3yQGLJ34+/qACiiigDybwX+2v8AfiF+1H4l/ZA8Ia5qd74w8I2Kz688Wg3P9m28hSGRrT7ds+ztdLFcQSNAH3qkqsR1x6zX5i/sM/Bj9qX4P/wDBa34uxS2PxOt/COv+JPFviDxXLqpn/wCEQvLC9XRpNCksN37lr8SDUY5in7wJDtf5RHX6dUAFV9X1OHRdJutYuYZ5I7S3eaSO2haSRlVSxCIoJdjjhRyTwKsUUAeI/sb/ALfnwM/bjl8XWXwh0Xxppd94Hv7Wz8SaV448F3miXdrLcQmeEGG7RHO6PD9OjKejDPt1fMP/AAS68GeLv+EH+KX7Q/xE8LanpGt/Fz41+IfEAsdasZLa7h0u3nXStMSSOUB0BsdOt5FBA4lyOCK+nqACuJ/aN/aF+F37KnwW134/fGbV7iy8OeHoI5L6WzsZLqd2klSGKKKGIM8sskskcaIoJZnUDrXbV8yf8Fi/CXjTxz/wTn+IXhfwP4L1nxBNcNpLanpfhuya41RtLTVrOTUJLGNQWN5HaLcSQlPnEsaFPmC0Aew/s2ftGfCz9rL4LaL8fPgxq11eeHtdWcWrX+ny2lxDLDPJbzwTQSqrwyxzRSRujAFWQiu6r5f/AOCN3hLxf4I/4J5+C/Dvi/wVrvh8R6nrsuiad4rsmt9X/smXWb2XT5tQRwHF5LaPBLMZP3jSSMz/ADFq+oKACvHf2xP28f2af2EPDmg+KP2kfGV1pVt4j1ZrDTFsNJnvZDsiaae4dIEZo7eCJWklmYBI0GWIyK9ir88f+DiH4CePPjF+z/4ZvvgunxBPjxk1/wALeHIfA/gUa7Dfx65pcljcWN9l1/s+CZdg+3nKwbCSMstAH6F29xBd26XdrMkkUqB45I2BV1IyCCOoIp9YHwq8LX3gb4X+G/BOqXKzXOj6BZ2NxMpyJJIoEjZgT6lSa36AP//Z", "info": {"equation": "15+10*0=15", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "15+10*0=15", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "3abe7c3732e36ae503537be596148b437036ed33b44221c3975d4c500b17d416"} +{"episode": 43553, "episode_seed": 3722655495, "split": "train", "timestamp": "2025-10-28T03:46:53.777352", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 3722655495, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 0])", "action": "('move', [3, 5, 5, 0])", "reward": 0.0, "image": 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", "info": {"equation": "21/3=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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", 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FfB59hZS4lwkudrma+XK+nqfv3AvihlnDvhjmWQ1sCqlSpzWlpyy51b95fV8m8bXvovdtzH3PRRRX3h+AhRRXC/Gb4n2/hHTJPD+lzN/al1CNjKARChJBY574BwPfNcmOxuHy/Cyr1nZL8X0S82bUKFTEVVTgtWeVftc/HfTPD1jc3rRzXdnpMqW9pYWhXztS1CWRYYreLcwV3eR0jTJHLE5xzXcfsg/AK9+B/wANXvvGwtbjxx4quBq3jjUreBV33jqMWqEMxMFsmIIhuI2pu6uxPk37NPw3uPjn8dpvi34isH/4RP4b6jLY+FoJguzUdeEbRXV7saPJS2SVraNg+PNNwcZRGr6wr5/h3B1q855piV+8q7LtHp/Xb1PQzGtCnFYWl8Md/NhRRRX1Z5IV+Xf/AAdCeNf2hvDv7PPgXw38PptUg8Aa1q17H4/nsYf3Tzp9mawgnkHKox+0sFPys0a55VRX6iVzXxk8JfCjxz8KvEHhX46aZpF54Pu9KmHiOHXmRbMWgUtI8rOQI1ULv35GwqGBBAI8/NMJLH5fUoRnyuS3/H7ns/I+u4D4io8J8X4PNqtBV40p3cH1unG6/vRvzQ/vJH87v/BGH43fE34f/tIyeAdO+POqeC/BGr2Fxd+K2ttegsYHkhgcWzl58qH810X5fmYHByoOP058Ur+zJ8eNT0bw/wDFj9omz+JCWepJcaL4b8TeOrS/tWvfuxyC0Qqs8gBIUOrj52AHJr6y/ZA+EX7F3wv+HV5ZfsU6J4Mj8NXmqNJf3Hg7UIr2Ga7VEBDzI8m51TZ8pb5QRwM88T/wUp+E3w2+MHw88CfDz4m+DbPWdE1D4jRfbNOuVYJLs0rUpEyUKsMOqngjpXw2I4axeEyec3im4xi3yq/K+tt/0Pv+OPELBcW+ICzGhhZYVe7DmSXttLpzkk4+/Z8tude6knI8h/4JtaZpXgP9uD4o/Db9nTToLf4WDwxbX/ii00i2i/szTvF7XAjaGGRPuStaLulgU4jKICqYUH7wr5l/4JwfCv4c/BZPiL8O/hR4NsdB0Sz8RWL2+m6fGVjV3023Z2JJJZiTksxJ6c4Ar6ar6rhim6eR0btu6vr0u9vRH5zxhmdLNc8nVpp2SjHmlbnnyxS552v70t3q7aLmk1zMoorif2lNU+KGh/s7ePNa+CFlJc+M7Twbqc3hK3it1laXU1tZGtlCN8rkyhAFPBzg17s5ckHK17Hz+FoPFYmFFNJyaV27JXdrt9Eur7Hmtn+z1/wTbi/bHm+I1j4V+G4+N32hryaNNTgOrrMbYFpzZ+ZkSGE7zJ5e4ht+cksffPsdn/z6x/8AfsV/JLH8WfjZ4f8Ajc3xl/4TbXbXx/ba+2oSa7JO66gmoiQs0jM3zeZvyCD7gjHFfub8M/j7puofDTw7ffEL9vnVLfxBPoFnJr0H/CydOTyr1oEM67VUhcSFxgcDGBXweD4zwUOfmw7jdt+6lr5vbXufu/ix4T5lwdDA1KuZfWeeHIudu8OS2kE3L9373u7W7an6IIiRrtjQKB0AGKWvCv2ePiN4j8f+IrXW9B8XnX9Gu4SZr+C8W4t3VQVDq6EpncpHynkhu4491r6rKM0p5vhXXhBxV2tfLr/XW6PwvF4WWEq8jael9Aooor1DlCiiigD+Zf8A4LLeNP2hfFv/AAUQ+I1p+0LLqazaR4gurLwnaX8PlxwaEs8hsTAo+Xy3hKybh99nZm+YnH7Lf8EBvEvx18Tf8E2vC8vxxtr1FstQuLTwbLf2giebQo1iFswwAXQN5qo7DLIi4yuGLf22/wBmP4AftE/thRzfHD4VaZ4lbR/h9pJ0w6j5n7jzNQ1PfgIyghtiZDZHy+5r3/8AYet7e0/ZF+HtpaW8cUMPhm3jhhiQKkaKCFVQOAAAAAOABXweR4WVHijFJzb5V9/M09fQ/fuP/FDLOKPDbLclo4FUqlLlvLTljyRcf3dtVz7yva23vfEvVaKKK+8PwE+Jv2zPGHie0/4KKeB/CvxK8Q3mneBk+H8l34DhnZYdP1HxQ91Nb3SNISPNuUsnhEURJOJ5SqkliPEbT9oTTrP9vPxl4N0L9rK68N+E4PBNnN4gh0/xRY2VtH4hWcQLEsjgs8gtY8SICdjJhgpwD+jHxx+AXwa/aV+H8/ws+O/w703xPoFxcRTyabqcRZRLG25JFYEMjDkblIOGYdGILvg18B/g5+z18PrP4V/BX4daZ4c8P2LyPbaZp0GEV3Ys7knLMxJJLMSenPAr43G8MYzFZtPFQxDgmul+ZeS1Wnz8rdT7+nxPkUMjjSlhnKuoeztaPs7Xv7W/xe0eq5eX4nz89vcPlr4b/HTw/eanL4c8L/taz+K7y/QFNPm8a2t7MBHli0aQ4cccsRngc8CvrX4aXXiK98FWNz4qR1vWQ+Z5q4cjcdpYdiRjIraS2to23R26KfUIBT69HKckxGXYmVariZVLq1nfvvq38vVnyOLx1PE0lCNNRs76f8Mgooor6E84KKKKAMH4paJH4m+G2veGp9Jjv4tR0i4tbixlztnikjZHQ4IPKsw455rx34DfDiXUfizp/ju4huoR4e029tI1KbUZrjyAytkZ3KIRwCMZ56ivoCivHxmURxmZUcW5tez6W3+fTz3+R2UcY6OGnRUfi6hRRRXsHGFcZ8QvgzpPj3WYdbfVZbSVVWO48uMN5qAnpno3OM8j2NdnRXLjMFhcfR9liI80d7enoa0a1WhPnpuzK+k6ZaaLplvpFhHthtoVjjX2AxViiiuiMYwioxVkjNtt3YUUUVQgr8u/+DoTxr+0N4d/Z58C+G/h9NqkHgDWtWvY/H89jD+6edPszWEE8g5VGP2lgp+VmjXPKqK/USsT4kfDbwH8YPAmq/DH4n+FLLXNA1uza11XStQhDxXETdQR2IOCGGCpAIIIBrgzTBzzDAVMPGXK5Lf8fuez8j63gXiTD8I8XYTOK9BVoUZXcHbW6aur6c0b80H0kkfzp/8ABGH43fE34f8A7SMngHTvjzqngvwRq9hcXfitrbXoLGB5IYHFs5efKh/NdF+X5mBwcqDj9VtK+JPwm8V+JNLttQ/ayHi+8gvfM0bStU8d2d2BdtG8QeOKPazS7JJEHXiRuM4x9Y/s/wD7Kv7O37K/ha78F/s+fCPSPC2m316bu9t9OhOZ5toXe7uWZsKoABOB2xk13i2lqrBltowR0IQV8lS4PxywvspYxpdYpNx/9KX5H1niT4i5bxrxXPNcLglSjyxir255cv2p2TXNrbd2ioq+h5f+y78P38K2XiHxfMLhZPEupQXBjmAChYraKBSgwDghM5Oc5yOK9Uoor7DL8HHAYKGHTvyq1+5+WYis8RWlUatcKKKK7DE8lt/2Ef2PrT9oF/2p7b9nzw4nxAkumun8Si1PnfaGj8tptufLEhXOXC7iSWzuJNerfY7P/n1j/wC/YqSis6dKlSvyRSu7uytd935nXi8wx+PcHiqsqnJFRjzScuWK2irt2iuiWiEREjXbGgUDoAMUtFFaHIFFFFABRRRQB4b+0F4alX4ow+K4PD2bi50u3skvYY2Zp0jllkSI44yryyEAc/OetejfAvwDH8Lvg94c+H0UszjSdKig3XBBc4GfmwAM8+ldZRXj4PKI4TMq2M523U6W2+fXy2OytjHWw0KPLbl/EKKKK9g4wooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAPnT9tL/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==", "info": {"equation": "21/3=7", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "a11ab7037d305346b246a42e8b58fd982b4051971677daeb6bf66e8bcd24b0e1"} +{"episode": 43554, "episode_seed": 2648821287, "split": "train", "timestamp": "2025-10-28T03:46:53.836952", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 2648821287, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 6, 1])", "action": "('move', [0, 0, 6, 1])", "reward": 0.0, "image": 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", 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c2plvZ9RecrOssbjqcyK6sAFXdnaBx/VJXwB4d/Zz+Bmk/tZL+0Jp/wAMNMj8bXvxwvYbnxJtc3DIdUuIyBliqkoirlQDjIzyc/f9fHcHUHQpYlOTdqjj/wCA9fV319EfsfjJ4gYDj7F4CrhcJ7BUqVntduTT5Vb7ELe5s/elor2CvA/+Covir43+CP2APij4q/ZzfUE8X2Xh3fp02kw77mCEzRi6liHUOlsZ3DD5lK7l5Ar3yjr1r62vSdahKmnbmTV1urrdeh+UZTjoZZmtDGSpqoqU4zcJfDJRknyy8pWs/Jn8vn/BLP4l+N/h1+2r4WvPC3xPu/ClpqzyWXifWLbUobUjTWAllDTTAqgLRRnPUlQBycH9edatP2aPj34i0bS/iX8ddP8AifPp9xJNoXh7xP4xtNUt0uGjIaZLNcJLKI94DMr7VZ8YyTX178Dv2M/2Wf2avEOveK/gR8DdB8Mah4mkDa3daZalWuMOzhRuJEabnY7E2r04+UY80/4KQfBX4UfHDQ/h74B+LXgOx13RpPGM872F2GVDJHpV8UbKFWyCT3r85xfDGMy/KKk5Yl2im3FX5X+P6H7Lxz4nZXx1xtQzDC0JYaKhGDmuV1evM7KUU/icUudXitWr2XPf8EiRHpnw8+I/g34fs7/C/Q/iPdW3wwkjRTai0aGKW9itJVz59umoPdoj5YcEBjjj65rxj9gXwr4b8C/s3Wngvwbodtpmk6V4l12103T7OPZFbwpqt0FRR2AH4nqck17PX2+S03TyihFu/uR/FX/DZH5NxLj4ZpntfEwjZSl13dklzSfWc7c031k2wpHRJEMcihlYYZWGQRS1xHxq+IcPhTQ30Gxkb+0dQhKw7QP3aE4Zz+oHv9K6cdjKGAws69V+7Fff2Xq9jyaFGeIqqnDdny7+1t4+/wCFbaRqdh8MYbq81bV76aw8M29nbxSTBxG8s0scbyxrIIYY5pAC4DGNAcbq+pv2ddF+GXh/4EeEdL+DMkUnhZfD9q+hzwlT9ogeMOJmI+88m4u7dWZ2J5Jr53+CfwZ1D4wP4i/aQvraVV043GieAbd3HNrDMFv7rb5YZWnnh2J8xzHbRsMCQg95+xQdY8CT+IPhJMY38PnUZdW8J7ZEU2Uc7CS5svLCLhVuHllQ5f5JtuV8sA/D8NTeXY7kxEFD6wuaL+b937nt6dz3MzSxOHvTlf2bs/8AP+vM9/ooor9DPnQooooA/n+/4OUPFvxx1T9v0+EviBLqKeD9K8PWcngC3mi2WrRSwRm7mixw7m5WRHY/NiJFPCrX6gf8EJNe+MXiD/gmd4Cn+MkF2ststxbeHHvbYRPJo8b7bRgAAWTYMIxGWRVPIwTp/wDBQ79n74LftDfFj4c+Hfjb8OdP8SWOn6HrtzZW2ob9sUxuNKUuNjKfukjByOelewfsYWtrYfsp+AbCxto4YIPDVvHBDCgVI0VcKqqOAAAAAOABXxmWYaVLizFtzb0T/wDArO3y2R+18WeImX574V5Vw/SwahUw796elvdUo3jbW9S/NUvb3v5r3Xp1FFFfZn4oeJfHT4G/sDeOv2gvB3jb9oPw34BuPiTatCvgt/EGoQxajOY5i8SwwtIpuNspJUbXwxOOTXtJs7QnJtY/++BX8yH/AAVf+IH7Qupf8FJPiRrnxi1XWLTXtC8XzweGXm3QSWWlwzs2nNb7cbE8kxyqy/eZy+dzE1+pv7N37SU/iD4EeCvFPxh/bx1O38VXnh6zufEFpP8AELT4dl0yBnVogvyc9V7dOK+Ghxhg8Piq0J0GrSteKV3bS8ttfvP3Lj3wtzHhvhjKcdUzFV1WhpBt2p3Snalq7w11aUdbO3vafpKqqg2qoAHQAUteVfs2+L/EfjIXusy602p6TdQJcWt+J/NikZ/mBicZVlZTn5TjG3HXn1Wvqssx8MzwccRGLinfR+TsfiuKw8sLWdNu9gr84/8Ag5k8XfHHw3+xNoumfDabUYPC+reKVtvHk9hH8pt9m63imccpE8wHoGYIpPIB/Ryud+Lfhf4Y+Nfhhr/hb406dpV34SvNJnTxHDrbKtp9j2EytKzkBFVQWLkjbt3ZGM08ywssbgKlCMuVyVr/ANdO/kfQcE57R4Y4sweaVaPto0ZqTh36af3le8f7yR+BX/BDD4veKPBvjzxp4O1b9oG+8D+D59HS9m+z+ILbTkuNTE0UcXzzAlz5PnfKvGACf4a+8vHvw+/Yf+NVr4j8bfGjx94d+Ic8Xh8Qav4g8T+KLbU7jStOViVEThgtookJYMgUs7YJOcV9s/sp/DH9lH4a/CGDQP2P9I8KReDJb6e4hfwneR3dpNclgsrmZHfzHyoUksSAgXgKAPm7/goL+zX8BfjV+0JfeIfix8KtJ1688PfDOzm0aa/jYi2c3WpuSFDBXBaNDhgw+Xpyc/nea8P4nLsm9pLEuUVb3Vfl1fTXz7H6RxBx7guJ/EWtmdOjUwcZaNwS9t7qS95c0FzSaV/efLppJrX3L/gnNrnxU8SfsP8Aw11n40Lff8JDN4cT7Q+qWgguZbcO62sksYA2yPbCF2yAcscgHIr2uuc+DzFvhJ4WZjknw5Ykk/8AXuldHX6Zh4Olh4QbvZJXe7st2fjmZ4uOPzKtiYwUFUnKSjHaPM2+VeSvZeQV/KV8e/in+02f2x9e+K3xY1rV7L4qaf4z+03V1eRiO5sdRt5h5SqhyqCIxxqij5AqKB8oFf1a18BfH39nH4F6/wDtaeMfj/rnwu0u68Z6d8SvDsNh4hnjZp4EWHRVXaC2zIV2AbbkZ4OcV8nxlh5VcPQkpNe+l/4F19VbT1Z+ueDXiFl/AWKzB4rCKv7alZbXTi37rv8A8u583v2u/djozEvfH/wf+KPwug8HfHD9tCbWrLVdJt08T6BqXxNs1trtiiNNBMIShMZcMrIGAZcqcgkHqf2NND8OfDL/AIKDXPw7/Zu0u203wte/Dqa++Jug+HrWJdMstQWe3TSp3WP5be6lhN2Co2mSKFHIbAavpr9tfw/omt/sj/EbRdW0qCe0vPCN7BdQPGNskbxFWU47FSR+NeUf8E9vgP8ABz9nv4p+PPB3wT+HeneG9MufD+i3Vza6cjYlmNzqi72Z2ZmO1VAyeAOMV51PKsRgeJMLCpiJVG1J3d72Sem70fU+XwXEGHhw/jY8slzpxVJW9ledk5y1+KFk4JQfvRi3Jctn9WUUUV+hn58FFFFAHzvY/Cr+2fjdDYnSJbFLLxe+uzC2UhDIJpJi5LA/K7sSfUk4xX0RRRXlZVlccrhUipuXPJy18+n/AATqxeKeKlFtWskgooor1TlCvMP2ntCGq6Ho2qNo63A0zUnnjucEtbO0LxbhjgApI6kn1HrXp9FcOZYP+0MDPD83LzK197G+GrfV68alr2OI/Z48Et4B+F1to8gnD3WoX2oSJcgBka6upbgrjAwAZMAHnGM5NdvRRW+FoLC4aFFO6ikvuViKtR1aspvq2wrkfiN8ItL+IeoWupXGpy2skC+XKYow3mR5Jxz0IJODyOTwa66ipxeDw2OoOjXjzRfT09B0a1WhPnpuzIrWytrOyj0+3iCwxRCNEHQKBgD8q5LwR8GdG8E+Jp/EdrqEk+5WW1heMAQK2M8j7x7Dpwe55rsqKmtgcJXqU6lSCbp6x8ghXq04yjF6S38wooorrMgooooA8h/aY0KW61/QfEUeiCWS0t7i2t7tEZnXznhZ4uOMMYYiO5K8V23wT8Ep8OPhJ4e8DRyTMNM0qKHNwRv4HOcADPPpXUUV5WHyuOHzStjedt1ElbtZd/kdVTFOphYUbfDfX1CiiivVOU8y+KP7Gn7LXxq+K+hfHL4rfA/Qdd8W+GvK/sTXL+2LTW3lSGWMcEBwkhLKHDAEnGM16SbO0JybWP8A74FSUVEaVOEnKMUm99N/XudVfHY3FUqdKtVlKNNWinJtRW9opu0VfWysIqqg2qoAHQAUtFFWcoV+cf8AwcyeLvjl4b/Ym0XTPhtPqMHhfVvFC23j2ewj+U2+zdbxTOOUieYDPZmCKTyAf0crG+IXw98E/FjwPqvw1+JHhi01rQdbsntNV0u/i3xXMLjDKw/UEYIIBBBANcWZYSWOwNShGXK5K1/66dH5H0/Bef0OFuKsHm1aiqsKM1JwfVeV9OZfFF9JJM/Af/ghr8bvHHhPxd4v+HeuftH6p4K8DDSv7QFvF4mt9Pgk1VpYY1ZTODlzCsmQnUIu7otfpj4I1PwF8Ub7VdL8LfGs+OtY1DTls7q5PiSDUruG2/eKiDyfuIGmkYZX7znk9K+qvgX+zj8Df2Z/Aa/DH4EfDLS/DOhLdyXR07ToTteeTG+RmYlnYhVGSScKo6AAdnHBBEcxQopPUqoFfIQ4NxUsMqNXFvl6xSbj8ry/T5H1PH/H+A4t4txGbYXCKlGdkr25nZJc0rK3M7a2b7XdrlHwhoUfhbwnpfhmKR3XTtOgtVdyCzCONUBOOM8dq0aKK+7SsrH5g3dhX5PXvxo1LRP+Cevjn4h/FP4q32l/FAXWqTeJbi+mhj1Kx8XJcu1varA2QhSSC3SGILj7PEjKCo3H9Ya8y1b9jP8AZa139oK2/aq1j4H6DcfEKzRFt/FMlsTcKViMSsRnazrGdocqWACgEbRj5/iDJq+cQpKnU5OV3/4Pqraer1R9dwtneUZVGrDH0XNOUJrlUW26fP8Au3zWtCpz+81drli+SWx8haL8Y/h54j8EafYfE39tybUmu9Ktxr+j6j8RrBre4kaJTNDIiYyhbcCoI44zX1R+y/4NNtruvfEl2mzqthZWMe4Dy3SCS5k3rxk5NyQTkj5R6GvXvsVn/wA+kX/fsVIABwBXPgOG62EzCGKrYmVRxTsmu6tu5M8fF5pDEUp04UlBSd9Nt77WCiiivqTyAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKg1W0l1DTLmwhuWheeB40mTrGWUgMPcZzQB88fs7/wDBV39iL9qX9oTU/wBmX4N/E67vvEtgt81jJdaFdW1hra2U3k3h067lQQ3ogkO2TymbbyeQCa+jq/FT/glb+zf+0zYftE/shfs8eMf2b/HHhS8/ZJsviRH8UPF2t+H5bbSL9tVuZlsV068b5L8XAlWVvLJ2gHd0r9q6ACiiigArw39tn/gon+zB/wAE/NK8Oat+0l4i1eyTxVqf2HSI9H8PXN+xffFGXkMKMsMYeaFd7lQWkUDJOK9yr8+/+Dj/AMW6tL+wbF8FPB/wj8f+LvEHivxdo15ptt4H8DX2sLDDp2rWN1cm4e1jcW/7oMU348wqwXODgA/QNWDKGHQjIpa5r4O/E3RfjN8L9D+KfhzRdb02x13T0urWx8SaLNp1/AjdFntp1WSF+OUcAiuloAKKKKAKHirxPofgnwvqXjPxPfi10zSLCa91G6ZGYQwRIZJHwoJOFUnABPHArw/9kD/gpl+yl+29448SfDD4K694gtvE3hWzgvtV8O+LvCV9o179hnOIbyOG8ijaSB+MSAY+ZfUZ9q8c+KYPA3gnWPG11pF/qEWj6VcX0lhpVo091crFG0hihiXmSRgu1UHLMQB1r85f+CM3xR1j9qv9sv4sftrftGfBv4m+D/iz4z0BNN0fw14o+GWp6TpXhXwlZXYFrp6X11CkV7eyySi4lKnuQihUagD9L6KKKACiiigD53/bN/4Ki/smfsE69ZaH+0Xq3imzS4s4ry/1XRvBOoajYaPayz+RHPfXVvC0VojSAqvmMCdpwK+gdN1Kw1nTrfV9Lu0ntbqBJraeM5WSNgGVge4IINfmV/wcX2Fx8c/hdF+zf4H+BX7QevfEiKyt7/4ZS/D3Rbu48J6xfzX0GbbWNhNpKkP2VHKXqhVWUmMnc1fpJ8PYvE8HgDQ4PGtvaxaymj2y6vFZKBCl0Il81YwOAgfcBjtigDYooooAKCQoLMQAByTRXif/AAUb8IftLfEL9iP4i/D/APZCihf4ha9oDadofnaoliVWeRIrhkuHBWCUW7TFJCDtfacHGKAF/Y1/4KC/sv8A7fMXje7/AGYfGtxrtr8P/Fk3h3X719Okhha8jGSYHcATRkciReCCCOte11+ZX/Bvr8LP2kvgn8W/2mfAfxW/Yl/4VB4Xk8e6fL4etV8Rm+t42h0y2tRaWsn2aEXsKxRI5vE+VnZk27lJP6a0AFFFFABXzn8Sv+CoH7Ovwz/aqm/Y4ufCHxK13xlZvpQ1U+EvhtqWq2GmLqJItZLq6tomitkYByXkIAEbknCnH0ZX5Lf8FUPAHxC0r9u1/H/7CngT9pnS/wBonXvF/hCCHW9BtbuPwBq2i2wUTm/li/0SSGOCW6R1uT5iyZ2Da2SAfrTRRRQAUUUUAch8fPj18Jf2YPg7r/x8+OvjS18PeE/DFgbvWdWu8lIY8hQAFBZ2ZmVFVQWZmAAJIrn/ANlL9rj4TftkfDyf4kfCSz8S2draX5s7yw8XeFLzRr6CTy0kUtb3caSbGjkR1cAqwYEGvnf/AIOCf2dvjF+0x/wTL8T+CfgdoOsatreleI9D12TSPDo3aheWllqEM862y/xzrGrSIn8TRgAEkCqP/BDa3/aDj+HXxYufiJP8WG+G8/xOmb4KD44PdN4lGjfZovNNx9s/0kRG583yxL82A2PlxQB9y0UUUAf/2Q==", 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", "info": {"equation": "14*7=98", "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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3+CP2APij4q/ZzfUE8X2Xh3fp02kw77mCEzRi6liHUOlsZ3DD5lK7l5Ar3yjr1r62vSdahKmnbmTV1urrdeh+UZTjoZZmtDGSpqoqU4zcJfDJRknyy8pWs/Jn8vn/AASz+Jfjf4dftq+Frzwt8T7vwpaas8ll4n1i21KG1I01gJZQ00wKoC0UZz1JUAcnB/XnWrT9mj49+ItG0v4l/HXT/ifPp9xJNoXh7xP4xtNUt0uGjIaZLNcJLKI94DMr7VZ8YyTX178Dv2M/2Wf2avEOveK/gR8DdB8Mah4mkDa3daZalWuMOzhRuJEabnY7E2r04+UY80/4KQfBX4UfHDQ/h74B+LXgOx13RpPGM872F2GVDJHpV8UbKFWyCT3r85xfDGMy/KKk5Yl2im3FX5X+P6H7Lxz4nZXx1xtQzDC0JYaKhGDmuV1evM7KUU/icUudXitWr2XPf8EiRHpnw8+I/g34fs7/AAv0P4j3Vt8MJI0U2otGhilvYrSVc+fbpqD3aI+WHBAY44+ua8Y/YF8K+G/Av7N1p4L8G6HbaZpOleJddtdN0+zj2RW8KardBUUdgB+J6nJNez19vktN08ooRbv7kfxV/wANkfk3EuPhmme18TCNlKXXd2SXNJ9ZztzTfWTbCkdEkQxyKGVhhlYZBFLXEfGr4hw+FNDfQbGRv7R1CErDtA/doThnP6ge/wBK6cdjKGAws69V+7Fff2Xq9jyaFGeIqqnDdny7+1t4+/4VtpGp2HwxhurzVtXvprDwzb2dvFJMHEbyzSxxvLGsghhjmkALgMY0Bxur6m/Z10X4ZeH/AIEeEdL+DMkUnhZfD9q+hzwlT9ogeMOJmI+88m4u7dWZ2J5Jr53+CfwZ1D4wP4i/aQvraVV043GieAbd3HNrDMFv7rb5YZWnnh2J8xzHbRsMCQg95+xQdY8CT+IPhJMY38PnUZdW8J7ZEU2Uc7CS5svLCLhVuHllQ5f5JtuV8sA/D8NTeXY7kxEFD6wuaL+b937nt6dz3MzSxOHvTlf2bs/8/wCvM9/ooor9DPnQooooA/n+/wCDlDxb8cdU/b9PhL4gS6ing/SvD1nJ4At5otlq0UsEZu5oscO5uVkR2PzYiRTwq1+oH/BCTXvjF4g/4JneAp/jJBdrLbLcW3hx722ETyaPG+20YAAFk2DCMRlkVTyME6f/AAUO/Z++C37Q3xY+HPh342/DnT/Eljp+h67c2VtqG/bFMbjSlLjYyn7pIwcjnpXsH7GFra2H7KfgGwsbaOGCDw1bxwQwoFSNFXCqqjgAAAADgAV8ZlmGlS4sxbc29E//AAKzt8tkftfFniJl+e+FeVcP0sGoVMO/enpb3VKN421vUvzVL297+a916dRRRX2Z+KHiXx0+Bv7A3jr9oLwd42/aD8N+Abj4k2rQr4LfxBqEMWozmOYvEsMLSKbjbKSVG18MTjk17SbO0JybWP8A74FfzIf8FX/iB+0LqX/BST4ka58YtV1i017QvF88Hhl5t0EllpcM7NpzW+3GxPJMcqsv3mcvncxNfqb+zd+0lP4g+BHgrxT8Yf28dTt/FV54es7nxBaT/ELT4dl0yBnVogvyc9V7dOK+Ghxhg8Piq0J0GrSteKV3bS8ttfvP3Lj3wtzHhvhjKcdUzFV1WhpBt2p3Snalq7w11aUdbO3vafpKqqg2qoAHQAUteVfs2+L/ABH4yF7rMutNqek3UCXFrfifzYpGf5gYnGVZWU5+U4xtx159Vr6rLMfDM8HHERi4p30fk7H4risPLC1nTbvYK/OP/g5k8XfHHw3+xNoumfDabUYPC+reKVtvHk9hH8pt9m63imccpE8wHoGYIpPIB/Ryud+Lfhf4Y+Nfhhr/AIW+NOnaVd+ErzSZ08Rw62yrafY9hMrSs5ARVUFi5I27d2RjNPMsLLG4CpQjLlcla/8AXTv5H0HBOe0eGOLMHmlWj7aNGak4d+mn95XvH+8kfgV/wQw+L3ijwb488aeDtW/aBvvA/g+fR0vZvs/iC205LjUxNFHF88wJc+T53yrxgAn+GvvLx78Pv2H/AI1WviPxt8aPH3h34hzxeHxBq/iDxP4ottTuNK05WJUROGC2iiQlgyBSztgk5xX2z+yn8Mf2Ufhr8IYNA/Y/0jwpF4Mlvp7iF/Cd5Hd2k1yWCyuZkd/MfKhSSxICBeAoA+bv+Cgv7NfwF+NX7Ql94h+LHwq0nXrzw98M7ObRpr+NiLZzdam5IUMFcFo0OGDD5enJz+d5rw/icuyb2ksS5RVvdV+XV9NfPsfpHEHHuC4n8Ra2Z06NTBxlo3BL23upL3lzQXNJpX958umkmtfcv+Cc2ufFTxJ+w/8ADXWfjQt9/wAJDN4cT7Q+qWgguZbcO62sksYA2yPbCF2yAcscgHIr2uuc+DzFvhJ4WZjknw5Ykk/9e6V0dfpmHg6WHhBu9kld7uy3Z+OZni44/Mq2JjBQVScpKMdo8zb5V5K9l5BX8pXx7+Kf7TZ/bH174rfFjWtXsvipp/jP7TdXV5GI7mx1G3mHlKqHKoIjHGqKPkCooHygV/VrXwF8ff2cfgXr/wC1p4x+P+ufC7S7rxnp3xK8Ow2HiGeNmngRYdFVdoLbMhXYBtuRng5xXyfGWHlVw9CSk176X/gXX1VtPVn654NeIWX8BYrMHisIq/tqVltdOLfuu/8Ay7nze/a792OjMS98f/B/4o/C6Dwb8cf20JtastV0m3TxPoGpfE2zW2u2KI00EwhKExlwysgYBlypyCQek/Yx8K+Dvhf/AMFFL3wd+zX4fsNL8P6n8NHufilpXh2whSwtb2K4iXR5JPLGILiSKS+wg2740DlTnefp/wDbX8P6Jrf7I/xG0XVtKgntLzwjewXUDxjbJG8RVlOOxUkfjXlH/BPb4D/Bz9nv4p+PPB3wT+HeneG9MufD+i3Vza6cjYlmNzqi72Z2ZmO1VAyeAOMV50MqxGB4kwsKmIlUbUnd3vonpq3o+p8vguIMPDh/Gx5ZLnTiqSt7K87Jzlr8ULJwSg/ejFuS5bP6sooor9DPz4KKKKAPnex+FX9s/G6GxOkS2KWXi99dmFspCGQTSTFyWB+V3Yk+pJxivoiiivKyrK45XCpFTcueTlr59P8AgnVi8U8VKLatZJBRRRXqnKFeYftPaENV0PRtUbR1uBpmpPPHc4Ja2doXi3DHABSR1JPqPWvT6K4cywf9oYGeH5uXmVr72N8NW+r141LXscR+zx4JbwD8LrbR5BOHutQvtQkS5ADI11dS3BXGBgAyYAPOMZya7eiit8LQWFw0KKd1FJfcrEVajq1ZTfVthXI/Eb4RaX8Q9QtdSuNTltZIF8uUxRhvMjyTjnoQScHkcng111FTi8HhsdQdGvHmi+np6Do1qtCfPTdmRWtlbWdlHp9vEFhiiEaIOgUDAH5VyXgj4M6N4J8TT+I7XUJJ9ystrC8YAgVsZ5H3j2HTg9zzXZUVNbA4SvUp1KkE3T1j5BCvVpxlGL0lv5hRRRXWZBRRRQB5D+0xoUt1r+g+Io9EEslpb3Ftb3aIzOvnPCzxccYYwxEdyV4rtvgn4JT4cfCTw94GjkmYaZpUUObgjfwOc4AGefSuoorysPlccPmlbG87bqJK3ay7/I6qmKdTCwo2+G+vqFFFFeqcp5l8Uf2NP2WvjV8V9C+OXxW+B+g674t8NeV/YmuX9sWmtvKkMsY4IDhJCWUOGAJOMZr0k2doTk2sf/fAqSiojSpwk5Rik3vpv69zqr47G4qlTpVqspRpq0U5NqK3tFN2ir62VhFVUG1VAA6AClooqzlCvzj/AODmTxd8cvDf7E2i6Z8Np9Rg8L6t4oW28ez2Efym32breKZxykTzAZ7MwRSeQD+jlY3xC+Hvgn4seB9V+GvxI8MWmtaDrdk9pqul38W+K5hcYZWH6gjBBAIIIBrizLCSx2BqUIy5XJWv/XTo/I+n4Lz+hwtxVg82rUVVhRmpOD6ryvpzL4ovpJJn4D/8ENfjd448J+LvF/w71z9o/VPBXgYaV/aAt4vE1vp8EmqtLDGrKZwcuYVkyE6hF3dFr9MfBGp+Avijfarpfhb41nx1rGoactndXJ8SQaldw237xUQeT9xA00jDK/ec8npX1V8C/wBnH4G/sz+A1+GPwI+GWl+GdCW7kujp2nQna88mN8jMxLOxCqMkk4VR0AA7OOCCI5ihRSepVQK+QhwbipYZUauLfL1ik3H5Xl+nyPqeP+P8BxbxbiM2wuEVKM7JXtzOyS5pWVuZ21s32u7XKPhDQo/C3hPS/DMUjuunadBaq7kFmEcaoCccZ47Vo0UV92lZWPzBu7CvyevfjRqWif8ABPXxz8Q/in8Vb7S/igLrVJvEtxfTQx6lY+LkuXa3tVgbIQpJBbpDEFx9niRlBUbj+sNeZat+xn+y1rv7QVt+1VrHwP0G4+IVmiLb+KZLYm4UrEYlYjO1nWM7Q5UsAFAI2jHz/EGTV84hSVOpycrv/wAH1VtPV6o+u4WzvKMqjVhj6LmnKE1yqLbdPn/dvmtaFTn95q7XLF8ktj5C0X4x/DzxH4I0+w+Jv7bk2pNd6VbjX9H1H4jWDW9xI0SmaGRExlC24FQRxxmvqj9l/wAGm213XviS7TZ1WwsrGPcB5bpBJcyb14ycm5IJyR8o9DXr32Kz/wCfSL/v2KkAA4ArnwHDdbCZhDFVsTKo4p2TXdW3cmePi80hiKU6cKSgpO+m299rBRRRX1J5AUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFQaraS6hplzYQ3LQvPA8aTJ1jLKQGHuM5oA+eP2d/wDgq7+xF+1L+0Jqf7Mvwb+J13feJbBb5rGS60K6trDW1spvJvDp13KghvRBIdsnlM23k8gE19HV+Kn/AASt/Zv/AGmbD9on9kL9njxj+zf448KXn7JNl8SI/ih4u1vw/LbaRftqtzMtiunXjfJfi4Eqyt5ZO0A7ulftXQAUUUUAFeG/ts/8FE/2YP8Agn5pXhzVv2kvEWr2SeKtT+w6RHo/h65v2L74oy8hhRlhjDzQrvcqC0igZJxXuVfn3/wcf+LdWl/YNi+Cng/4R+P/ABd4g8V+LtGvNNtvA/ga+1hYYdO1axurk3D2sbi3/dBim/HmFWC5wcAH6BqwZQw6EZFLXNfB34m6L8ZvhfofxT8OaLrem2Ou6el1a2PiTRZtOv4Ebos9tOqyQvxyjgEV0tABRRRQBQ8VeJ9D8E+F9S8Z+J78WumaRYTXuo3TIzCGCJDJI+FBJwqk4AJ44FeH/sgf8FMv2Uv23vHHiT4YfBXXvEFt4m8K2cF9qvh3xd4SvtGvfsM5xDeRw3kUbSQPxiQDHzL6jPtXjnxTB4G8E6x42utIv9Qi0fSri+ksNKtGnurlYo2kMUMS8ySMF2qg5ZiAOtfnL/wRm+KOsftV/tl/Fj9tb9oz4N/E3wf8WfGegJpuj+GvFHwy1PSdK8K+ErK7AtdPS+uoUivb2WSUXEpU9yEUKjUAfpfRRRQAUUUUAfO/7Zv/AAVF/ZM/YJ16y0P9ovVvFNmlxZxXl/qujeCdQ1Gw0e1ln8iOe+ureForRGkBVfMYE7TgV9A6bqVhrOnW+r6XdpPa3UCTW08ZyskbAMrA9wQQa/Mr/g4vsLj45/C6L9m/wP8AAr9oPXviRFZW9/8ADKX4e6Ld3HhPWL+a+gzbaxsJtJUh+yo5S9UKqykxk7mr9JPh7F4ng8AaHB41t7WLWU0e2XV4rJQIUuhEvmrGBwED7gMdsUAbFFFFABQSFBZiAAOSaK8T/wCCjfhD9pb4hfsR/EX4f/shRQv8Qte0BtO0PztUSxKrPIkVwyXDgrBKLdpikhB2vtODjFAC/sa/8FBf2X/2+YvG93+zD41uNdtfh/4sm8O6/evp0kMLXkYyTA7gCaMjkSLwQQR1r2uvzK/4N9fhZ+0l8E/i3+0z4D+K37Ev/CoPC8nj3T5fD1qviM31vG0OmW1qLS1k+zQi9hWKJHN4nys7Mm3cpJ/TWgAooooAK+c/iV/wVA/Z1+Gf7VU37HFz4Q+JWu+MrN9KGqnwl8NtS1Ww0xdRJFrJdXVtE0VsjAOS8hAAjck4U4+jK/Jb/gqh4A+IWlft2v4//YU8CftM6X+0Tr3i/wAIQQ63oNrdx+ANW0W2Cic38sX+iSQxwS3SOtyfMWTOwbWyQD9aaKKKACiiigDkPj58evhL+zB8Hdf+Pnx18aWvh7wn4YsDd6zq13kpDHkKAAoLOzMyoqqCzMwABJFc/wDspftcfCb9sj4eT/Ej4SWfiWztbS/NneWHi7wpeaNfQSeWkilre7jSTY0ciOrgFWDAg187/wDBwT+zt8Yv2mP+CZfifwT8DtB1jVtb0rxHoeuyaR4dG7ULy0stQhnnW2X+OdY1aRE/iaMAAkgVR/4IbW/7Qcfw6+LFz8RJ/iw3w3n+J0zfBQfHB7pvEo0b7NF5puPtn+kiI3Pm+WJfmwGx8uKAPuWiiigD/9k=", 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", "info": {"equation": "14*7=98", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "88f297c26e8c72b4d3c5f90f1349c5844f90e0eecef185d9584f0d2842230b01"} +{"episode": 43555, "episode_seed": 1151081648, "split": "train", "timestamp": "2025-10-28T03:46:53.879922", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 1151081648, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 4, 0])", "action": "('move', [0, 1, 4, 0])", "reward": 0.0, "image": 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", 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", 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"info": {"equation": "6+1=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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", 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"info": {"equation": "6+1=7", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "c6499b6ffbd2819dcfb3115e2a8b4f3ebfa6d6fc9e4a78d5043348461ea2bf3a"} +{"episode": 43556, "episode_seed": 2221621792, "split": "train", "timestamp": "2025-10-28T03:46:53.939834", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 2221621792, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 6, 6])", "action": "('move', [0, 0, 6, 6])", "reward": 0.0, "image": 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", "info": {"equation": "18/1=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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", "info": {"equation": "18/1=18", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "6737d13dc560b7c442777cf79fe13638f9cd2fb7050204c21475ae36ff0eb39b"} +{"episode": 43557, "episode_seed": 4248109797, "split": "train", "timestamp": "2025-10-28T03:46:53.999901", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 4248109797, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 7, 0, 4])", "action": "('move', [2, 7, 0, 4])", "reward": 0.0, "image": 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", 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GmmBVAWijOepKgDk4P6861afs0fHvxFo2l/Ev466f8T59PuJJtC8PeJ/GNpqlulw0ZDTJZrhJZRHvAZlfarPjGSa+nf2WfgZ+wL8MvGPjLVP2RPDPgG31u6vFi8anwlfw3M1vL5krLDMqSP8AZvnEv7vCDKHj5BjlP+CkHwV+FHxw0P4e+Afi14Dsdd0aTxjPO9hdhlQyR6VfFGyhVsgk96/N8Tw1isFk9So8U3FJvlV+V6+v36bn7Vx94kYHjPjqjjaOGnhFGEYOVl7bZtuycb6S5YrnV47tJ2XPf8EiRHpnw8+I/g34fs7/AAv0P4j3Vt8MJI0U2otGhilvYrSVc+fbpqD3aI+WHBAY44+ua8Y/YF8K+G/Av7N1p4L8G6HbaZpOleJddtdN0+zj2RW8KardBUUdgB+J6nJNez19zktN08ooRbv7kfxV/wANkfkPEuPhmme18TCNlKXXd2SXNJ9ZztzTfWTbCv51f+DhPxb8cNd/4KQeI/D3xWm1FdE0iwtE8BW11Fst1014UZ5YAOGDXHnhn5JaPaT8gA/oqrzT4/8A7HP7L/7U99oup/tC/BPQ/Flx4ekd9Hm1W3LNb7ypZcqRuUlFJRsqcdKwz/Kqub4H2FOfK7p67Pyf5+qPtPCTj3AeHfFTzPGYd1oOnKGluaLdmpRvZX05Xqvdk/R/nj/wT/8A2lPEfiz9kLwbrfx7/bp1vTvEslpNHPaXXxAsbaWO3SeRLbcjguCYFjOX+Zs5bkmvu39mX4ga7491RdX0vxifEGiz2BJ1NL1biGQrhFdZE+QsSpB29fm4yOPZo9PsIo1iisYVVVAVViAAA6AVKiJGu2NAoHQAYrzsHw3jMPiqdWeMnJRd7O9n5fE/y2Plc74gw+b4/E4mnhY0lWnKSjG1o80m7LRaK9ltsLRRRX1h8yfGX/Be/wAXfHLwZ/wTb8V6h8DZdRhe5v7W08VXWlxbpYdGkLrckkfMiE+WjsOiO2cKWI/H/wD4IufFPxd8P/2p7jQ7P4z3ngrwzq+hzt4nvrXWLewWUQoxtlaWYEA+c4wq8nce2cf0h63peja3ot5oviKwtrrT7y1kgv7W8jV4ZoXUq6OrcMpUkEHggnNeSfsb/B79hv4XeCtWg/Yg0fwQuh3uqBtZufBuqRX8cl0sa4SSZJJDuVGUhC3yh8gDeSflM4yCvmOZ069OvyWVut1/h1W99dT9r4T8S8DkPhhmPD1TL/azrSuqllyrmSX7xtN80OW9PfXta7+Ute8MfskfHvxANS+LPxV0L4o3mm6PdR20XjDxda6ommWbAG6kiiDBIAQE3z7QwCJ867RXvf8AwSXvvEl1+x1Y2N/LeTeHdN8SatY/Du6vrdY3n8Nw3TppzjGN8fkgBHP3o1Q5IIY43/BQr9nf4IftA/Fn4deHfjR8M9N8RWNhoeu3NnbXwcLFKbjSlLjYyk/KSMHI56V7F+xhaWth+yn4BsLG2jggg8NW8UEEKBUjRVwqqo4UAAAAcACuDIcDUwfEeIpzqubjFXb63s9dXtstT4/Mc7o1+EKWEXNKUp35ZW5KSjz6U9W7z5ry92CVrWle69Oooor7o+EPEvjp8Df2BvHX7QXg7xt+0H4b8A3HxJtWhXwW/iDUIYtRnMcxeJYYWkU3G2UkqNr4YnHJr2k2doTk2sf/AHwK/mQ/4Kv/ABA/aF1L/gpJ8SNc+MWq6xaa9oXi+eDwy826CSy0uGdm05rfbjYnkmOVWX7zOXzuYmv1N/Zu/aSn8QfAjwV4p+MP7eOp2/iq88PWdz4gtJ/iFp8Oy6ZAzq0QX5Oeq9unFfDQ4wweHxVaE6DVpWvFK7tpeW2v3n7lx74W5jw3wxlOOqZiq6rQ0g27U7pTtS1d4a6tKOtnb3tP0lVVQbVUADoAKWvKv2bfF/iPxkL3WZdabU9JuoEuLW/E/mxSM/zAxOMqyspz8pxjbjrz6rX1WWY+GZ4OOIjFxTvo/J2PxXFYeWFrOm3ewV+cf/BzJ4t+OPhz9ibRdL+G02ow+F9W8ULbePJ7CP5Tb7N1vFM45SJ5gPQMwRSeQD+jleQft5eGtB8Z/sp+KPCPinS477TNUk0+01Czmzsnhk1C2V0OCDgqSOCDzUZxRdfKq0FK3uvVeWv47PyPouCM9o8M8XYLNK1FVY0qik4vr0ur6cyvzRfSSTPxH/4IYfF/xR4N8eeNfBurftA33gfwfNo6Xs/2fxDbaclxqYmjji+eYEufJ875V4wAT/DX3r438C/sTfGCPxB4/wDi/wDETQPH95a6EItT8SeI/FVtqN1o9gj7k8lwwFmBKdwZAhZ2wWOcV79/wTv+CXwk+Bnibx94C+EXw/07QNHWDSLj7DYxnaZX+2bnYsSzMQqjJJ4UDoAK4b/goL+zX8BfjV+0JfeIfix8KtJ1688PfDOzm0aa/jYi2c3WpuSFDBXBaNDhgw+Xpyc/mlbKsRDhuOMdeTjp7mtl71u/z2P0niTjvAcSeJFbMqNOeFhKy5qdvatRitZWlFXk0rvmdtNJW192/wCCd/iX4ueMP2J/hz4l+Ok2pS+Jrvw+r3txrNuIry4h8xxbTTrxiV7cQu2QCWYkgEkV7PXOfB5i3wk8LMxyT4csSSf+vdK6Ov1fDwdLDwg3eySu93Zbs/GczxccfmVbExgoKpOUlGO0eZt8q8ley8gr8prb4r+Jo/2C/F3i7xz8QdUg+LtzqeoHWYpxEdWh8Zi8b7JYR2pz8wlgto4YVU5t40Kgr8x/VmvgP4+fs5fAvXf2tfGP7QOtfC7S7nxppvxL8OxWHiKdGaeBVh0VV2jdsyFdgG25GeDkCvk+MsPKrh6ElNq00tP73X1VtPVn1XBuZZXg/bUsbScleFRNKLbdPm/dvmtaFTn95q7XLF8ktih/wX28a/tL6D/wS10258IpqNrNq+o6ZafFF9OtxmGwltZfPSQrny4mu/IjbacEPsJ2sQfjz/g1z1/4xW37VHjjw34dgu38D3XhBZ/FDrbBoI76OYCx3SEfI5V7sKoPzAPwduR+vv7bOladrv7I3xG0PWLNLi0vfCF7b3dvJ92WJ4irKfYgkfjXkv8AwT2+BHwd/Z8+Kfjzwb8E/h3p3hvTLnw/ot1cWmnK2JZjc6ou9mdmZjtUAZPAHGKnHYWX+tuFlzvWL/8AJU/z6/M+4yXxHy/A+EmY8OSwUXUrTupq3LaTi7yW/NC3uW8tuXX6rooor7Q/ED4m+PPjHXov+Cjer+H/AIn+I7my0uz+G9pJ8NLC8kWGzuhJLK2rzREkedOhhtA45McXOApyfFP2YP2itD1e18eJqP7bupaTodp8TdXh8G2yeNdPsozpu6Ny0SFcvF9qe7CSHO9ApBIwT+gn7Q37LH7PX7V/hiz8G/tE/CjSvFenade/a7G31JGzbzbChdHRlZcqxBAODxkHAx1/h3wl4X8JeH7Hwp4Y8PWdhpmmWcVpp1haW6pFbQRqEjjRQMKqqAABwAK+MxPDGMr5nVxMMS4KXa9/R6rRdD7qvxLks8lhRjhr1uWEJXUVCKgrc8HrJzqWTndKz5tZcy5flv8AZ+8MeDvibrWg3HgjxiNesNO8R/2rda1ZanHefaLpJHmkaaZMqWeRyWxg5bjFfWtNjjjiXbFGqj0UYp1e3kuU/wBkYeVN1HNyk5NtW3t5vt3Pkcbi/rlRS5bJK1grwP8A4Ki+Kvjf4I/YA+KPir9nN9QTxfZeHd+nTaTDvuYITNGLqWIdQ6WxncMPmUruXkCvfKOvWvTr0nWoSpp25k1dbq63XoaZTjoZZmtDGSpqoqU4zcJfDJRknyy8pWs/Jn8wX/BK74t/Ef4aftk+HIvCHxe1HwjpuvStaeLtRtNXjtFk08Ayv5kk3yDDIpBPzZ4HJwf2T8N/EX4Y+LvFOn2n/DUx8Z6jFJI2kaZqHja0vmjlMTq0kUUWGL+U0i55wrNx3H078Dv2M/2Wf2avEOveK/gR8DdB8Mah4mkDa3daZalWuMOzhRuJEabnY7E2r04+UY9JW1tUYMltGCOhCCvhqPBuNjhvZSxbSd7xSbj/AOlL56H6p4oeJuWcdcSxzHCYL2cYwjC8uXnk1dtuya0vyx1eiT0vZcZ+zx4JbwD8LrbR5BOHutQvtQkS5ADI11dS3BXGBgAyYAPOMZya7eiivt8LQWFw0KKd1FJfcrH4/VqOrVlN9W2FFFFbmYUUUUAFFFFAHxl/wXv8X/HPwZ/wTb8V6h8DJtRhkub+1tPFV1pcW6WDRpC63JJHzIhPlo7L0R2zhSxH5Cf8EW/jH49+H37TFz4Os/jrqXgrwfrGkTz+KJbXXYbCGV4Y3+zFnmyu4SSADb8xDEdM4/pA1jSNK8QaTdaDr2mwXtjfWz297Z3UQkinidSrxurZDKykgg8EEiuB/Z6/ZH/Zs/ZR0HUPDP7PHwe0jwrZardrdalFp8TE3EqqEUu8jMxAHQZwMsQAWOflc34fxWZZjDE067gkraXuvSzW99dV8z9n4V8UMr4f8Ncw4arYFVKmIk3GenL7yirzvrzU+W9O19bbWu/mXwJ46+HvjLxfD/Y/7RB8d63FaSR2NvdeLbbUZ7eFnjaURRw4IDNHDuOD9xOnf64+CfglPhx8JPD3gaOSZhpmlRQ5uCN/A5zgAZ59K6VLa3ibdHAin1VQKfXTk+RTyzE1K9Ss6kpJK7Xbzu7n5TjMfHFU4wjBRS7f8Mgooor6E848y+KP7Gn7LXxq+K+hfHL4rfA/Qdd8W+GvK/sTXL+2LTW3lSGWMcEBwkhLKHDAEnGM16SbO0JybWP/AL4FSUVEaVOEnKMUm99N/XudVfHY3FUqdKtVlKNNWinJtRW9opu0VfWysIqqg2qoAHQAUtFFWcoV8p/8FP8AxV4j8O3HwhstV1270r4fX3xCA8d38LLHb747eSXTYrqUkeVbvepCCSQrMEUnkBvqysb4h/D3wR8WPA+q/DX4k+GLPWtB1uye01XS7+IPFcwuMMrD9QRgggEEEA1xZlhJ47A1KEZcrkrX/rp0fkevkWPw+WZrTxFeHPBcya0vaUXHmjfTmjfmjfTmSPzj17466bof7deq+C7D9qO78KaLD8NoZPE9tY+JbOxhj1ZL4raozyAsZjbvclo8/KojYgblz6r4I1PwF8Ub7VdL8LfGs+OtY1DTls7q5PiSDUruG2/eKiDyfuIGmkYZX7znk9K+qvgX+zj8DP2Z/Aa/DL4D/DHS/DOhLeSXR0/ToTteeTG+RmYlnYhVGWJOFUdAAOzjggiOYoUUnqVUCvkIcG4qWGVGri3y9YpNx+V5foexmnEGW1cWngqFoRioqUrKcrbykldJt9FJ2VlzO13R8IaFH4W8J6X4Zikd107ToLVXcgswjjVATjjPHatGiivu0rKx8i3dhX5PXvxo1LRP+Cevjn4h/FP4q32l/FAXWqTeJbi+mhj1Kx8XJcu1varA2QhSSC3SGILj7PEjKCo3H9Ya8y1b9jP9lrXf2grb9qrWPgfoNx8QrNEW38UyWxNwpWIxKxGdrOsZ2hypYAKARtGPn+IMmr5xCkqdTk5Xf/g+qtp6vVH13C2d5RlUasMfRc05QmuVRbbp8/7t81rQqc/vNXa5YvklsfIWi/GP4eeI/BGn2HxN/bcm1JrvSrca/o+o/Eawa3uJGiUzQyImMoW3AqCOOM19Ufsv+DTba7r3xJdps6rYWVjHuA8t0gkuZN68ZOTckE5I+Uehr177FZ/8+kX/AH7FSAAcAVz4DhuthMwhiq2JlUcU7JrurbuTPHxeaQxFKdOFJQUnfTbe+1gooor6k8gKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiioNVtJdQ0y5sIbloXngeNJk6xllIDD3Gc0AfPH7O//AAVd/Yi/al/aE1P9mX4N/E67vvEtgt81jJdaFdW1hra2U3k3h067lQQ3ogkO2TymbbyeQCa+jq/FT/glb+zf+0zYftE/shfs8eMf2b/HHhS8/ZJsviRH8UPF2t+H5bbSL9tVuZlsV068b5L8XAlWVvLJ2gHd0r9q6ACiiigArw39tn/gon+zB/wT80rw5q37SXiLV7JPFWp/YdIj0fw9c37F98UZeQwoywxh5oV3uVBaRQMk4r3Kvz7/AODj/wAW6tL+wbF8FPB/wj8f+LvEHivxdo15ptt4H8DX2sLDDp2rWN1cm4e1jcW/7oMU348wqwXODgA/QNWDKGHQjIpa5r4O/E3RfjN8L9D+KfhzRdb02x13T0urWx8SaLNp1/AjdFntp1WSF+OUcAiuloAKKKKAKHirxPofgnwvqXjPxPfi10zSLCa91G6ZGYQwRIZJHwoJOFUnABPHArw/9kD/AIKZfspftveOPEnww+CuveILbxN4Vs4L7VfDvi7wlfaNe/YZziG8jhvIo2kgfjEgGPmX1GfavHPimDwN4J1jxtdaRf6hFo+lXF9JYaVaNPdXKxRtIYoYl5kkYLtVByzEAda/OX/gjN8UdY/ar/bL+LH7a37Rnwb+Jvg/4s+M9ATTdH8NeKPhlqek6V4V8JWV2Ba6el9dQpFe3sskouJSp7kIoVGoA/S+iiigAooooA+d/wBs3/gqL+yZ+wTr1lof7RereKbNLizivL/VdG8E6hqNho9rLP5Ec99dW8LRWiNICq+YwJ2nAr6B03UrDWdOt9X0u7Se1uoEmtp4zlZI2AZWB7ggg1+ZX/BxfYXHxz+F0X7N/gf4FftB698SIrK3v/hlL8PdFu7jwnrF/NfQZttY2E2kqQ/ZUcpeqFVZSYydzV+knw9i8TweANDg8a29rFrKaPbLq8VkoEKXQiXzVjA4CB9wGO2KANiiiigAoJCgsxAAHJNFeJ/8FG/CH7S3xC/Yj+Ivw/8A2QooX+IWvaA2naH52qJYlVnkSK4ZLhwVglFu0xSQg7X2nBxigBf2Nf8AgoL+y/8At8xeN7v9mHxrca7a/D/xZN4d1+9fTpIYWvIxkmB3AE0ZHIkXgggjrXtdfmV/wb6/Cz9pL4J/Fv8AaZ8B/Fb9iX/hUHheTx7p8vh61XxGb63jaHTLa1FpayfZoRewrFEjm8T5WdmTbuUk/prQAUUUUAFfOfxK/wCCoH7Ovwz/AGqpv2OLnwh8Std8ZWb6UNVPhL4balqthpi6iSLWS6uraJorZGAcl5CABG5Jwpx9GV+S3/BVDwB8QtK/btfx/wDsKeBP2mdL/aJ17xf4Qgh1vQbW7j8AatotsFE5v5Yv9Ekhjglukdbk+Ysmdg2tkgH600UUUAFFFFAHIfHz49fCX9mD4O6/8fPjr40tfD3hPwxYG71nVrvJSGPIUABQWdmZlRVUFmZgACSK5/8AZS/a4+E37ZHw8n+JHwks/Etna2l+bO8sPF3hS80a+gk8tJFLW93Gkmxo5EdXAKsGBBr53/4OCf2dvjF+0x/wTL8T+CfgdoOsatreleI9D12TSPDo3aheWllqEM862y/xzrGrSIn8TRgAEkCqP/BDa3/aDj+HXxYufiJP8WG+G8/xOmb4KD44PdN4lGjfZovNNx9s/wBJERufN8sS/NgNj5cUAfctFFFAH//Z", "info": {"equation": "69-9=60", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "69-9=60", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "8ec696f1ada152d53b00de7c444d6318cf924fb246b30126f717a9c97225b0f3"} +{"episode": 43558, "episode_seed": 685491465, "split": "train", "timestamp": "2025-10-28T03:46:54.072886", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 685491465, "verbose": false, "save_verbose": false, "elicit_verbalization": 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": "16+18*4=88", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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NOztZxf8A5Ml+t/kfa+FPFmF4L4wp5liKHto8lSNtLpyi7NX08n/dct9n9KfDK78VX/w38PX3jqBotbm0O0k1mJ4whS6MKGUFRwpDluBwK3KKK+hiuWKR+d1ZqpVlNJK7bstl5LyP5yv2EvjB8bNH/wCCrPiDxF8Wfi3q3g/Wdc1HXbf4iarNqUOnzKQZJGgkeYbYwLmKBQi9NiqOK/R2xsfhH/wu/wABfGT4P+O4PFPxF1T4qaRYz+KrbWYNU1O+s3CxX9pLIhP+jJpizyNGAFQRrJgN8x9l/Z++DPwr8Mft1eKfitoPgSwtvEniW58QRa7rCIxmvEiu7YRq24kAAAcKBnAJyQKXVvg18K1/4KQQfG4eBbD/AIS2LWoNNi17Y3npaHQnYxDnaASTyBnBIzg4r8uoZXXgqdV15OPt+Xl8+Zrm33+XU/dOLPETL+I+Ilj6OGdCMcJGDjG3vtRvyTs1+6u+X7T5Ix91P4frKvE/+CkGv/E/wt+wd8WPEPwakvE8SWngi+k06XT03Txfuz5kkY671i3sCOQRkcgV7ZTZYop4mgnjV0dSro4yGB6gjuK/Ta9N1qMqadrpq/a63PxbLMZHL8yoYqUFNU5xk4vaXLJPlfk7WZ/Pj/wRI8Y+OJ7P4qeBbrxHdf8ACM2Xga/1C109pl8q3vpRDHJOoPKs0cUYJ6YjXPQV+2v7JnjTUvHPhaXWovGLeIdKe3t/sWsm9W5W4YKVZllT5XJ2jcV4z6Zrx/49fs6/BD9mXwZZfD/4B/DTTPC2jT6D4lvptP0qIqj3Ei2IeQ5JJJCqOvAUAYAAr63s0RLSJUUKBGMADA6V8NkGS18Hm04yrP8Adct0r2lzRduv2emn3H3/AIlcX4LjHPq+a4bD+zhXeiduZcijG7tpeVruz67vckooor74/Mj5O/4LgeIPih4a/wCCYnxP1D4US3kd7JYW1vqUtgm6RNNluoo7zpyEMDSByOiFjwMmvnT/AINbtV+It3+yV480rXorj/hGrTxwp8OySwAIZntkN0qN1YAiAkdAWPqa/QT9prTrHWP2cfH2kaparPa3fg3U4LmB/uyRvayKyn2IJH41wH/BP34X/Dz4NfCvX/h18LPCNnoeh2Hi+X7JptipEcZezs3Y/MSSSzMSSSea+cr0W+KKNTmf8OWnTR//AG34I/S8DxfhMN4VYvhx4ZOpUxEKiqaaJRWne65bLpyzlt193r8VP+DqTxD8UV+Mfws8MXMl4ngtfDV1d6eBHi3k1T7QUnO4fekWEW3B+6JOPvtX7V18uf8ABTH4OfC74zaN4W0r4q+B7HXrXSodW1HT7e/VikN1Hbx7JcAjJG48HKnPINXxTTdTI6tna1n+KOfws4pw3B3G2GzTEUfaxipqytf3oNXjfS6v91z5u+EPiH4V/tGfA/4e6T+05+0HbeO9Wm0Kw1DUvCHijxhZXNt/af2P94z2aYDMm+UhWyEOTjKgj7A/4JsTXsn7F3g6B5biTTrX7fa+GJbmII0miQ39xFpjDHDIbJLYo/8AEm1snOazf21PhN8NvjN+z54T+H/xS8G2etaNqHiDTzeafdBgkpS1mdclCrcMoPB7V6T+y1Y2Wlfs4eB9L0y0jt7a18MWcNtbwoFSKNIlVUUDoAAAB2Arzcly+tgM9qRqVnUfs07vzl6va34nBm+eUcwyF0owcHOs5qCtyQSUtIa/ac9VyxSUI6yv7ve1zvxZg0yf4d6qNWbES2xZWCgkSAjZjPfdj866KvGP2wviReeHfBsvh/w3aNd6nsWSC0XpNcO3l20WcHG6ZkyccDnkV7ud4mGGyuq5K91ypd3LRI+WwNOVXFRS0s737JanG/sS674a8ZfGv4hau8ZOpaPbWelaU8sceGslkm+0SQsHLMGvEkikBVcG1i69a+ma+ZfCHwfuv2cPjF4DtPD1150FnpraZq880kate290qtPKW8sZf7bFHNgbPlZ+5Cn6arj4akqeXvCyVp0m4yXzun80zbM1zYj2qd1NJr/L5EOoNcpYTvZLmYQsYRjq2Dj9a/nO/wCCZ3xi+MWk/wDBSLxFr3xY+MmreD9T19dZHxF1afVYdPna4DtI0Uskwwh+1rGNg5yNo4zX9G9cR4D/AGbvgT8MPiL4q+LfgD4W6TpXiTxtPHN4q1i1t8TajJHu2s5JIByzE7QNxOTk81Wd5PXzWdF0qrp8jeqvfVbqzWunfZs+44J45wPCuQZxl9fCqtLG04wi3b3Wm73v0tLmVvtwj6r4f8P6L8Hh+0V8NfjF8G/Fdn4p+IWrfFK2tr3xXBqkGqalqFm1m0WoQzzKTiCLT1DbQAIvLiIALZb9F6+UbT4M/Cq0/wCCk03xutvAlgni2fXP7Nl14IfPNoPDYYRddoGQOQAeMZxX1dXPwvhp4WjiISm5NVZK762tr136nz3EuZU8wp4OMXJ8lJJuW6u2+SOr9yG0durtG9lHeWtpfWktlqFtHNBNGyTwzIGR0IwVYHggjIINec/stfDP9lf4bfCaHw7+yNpHhWHwc1/cTQnwpeR3Vo9yXxM3mo7hnDLtPzEjaF4AAHE/8FUvEHxQ8Lf8E7vi5r3wbkvE1+38ITmCXT4900VuWVbqRO4K25mbcOVxuHIFfkn/AMELfjLrXhvwX4+8EeLf2nNS8E+GrW+s7rRrCLxXbafFJeSrIty6iYEsdkVvnHAwO5qs4z7D5RjqcKlJyvFu6tda7K/prr2Ppsg4HxeceHOYZ7TxfJCjVpxdK7tPZczV7XXtPc0enPsfvWqqihEUADoAKWvLf2W/GGpeNvDNzrY8VNrmmSiFtP1b7Wtwlx8pDMki/K4OFJK8ZJr1KvYy7GwzHBxxEYtKV9Hvo2v0PzjE0Hhqzpt3sfm//wAHOmv/ABP0n9hjQNK8ISXieH9T8c28Pi1rZMo0SwyyW6SkdEM6Iw7F0TvgHw7/AIJoeP8Awf4+/YA0H4a/tC/tNTQaZLJeaafBN/42tbO1n0xZiqW8kGVkMT/OpUsN6kjlTz+l/wC3d8P/AAZ8VP2c774efEPw7Bq2iarrmkw6jptzu8ueP+0IG2ttIPVQeCOlcbpPw68CWn/BNfWPhra+E7KPQE8MaxpiaVHFiJbP7RcReSAOQvl/L1zjvXyOc5bWxmd1OSs4fuubTqk2uXdaPf8AQ/VMHxxg6Xhthch+rWq08U6ntVa6Tjo1s+dXtuvdjHXtR/4Jn6Ro/hV/iz4K+HemW9n4K0zx+g0K0sLWOOztrySwtpNRht/L42LcsSyjhJWkQY2lV+oq8P8A2Bvhv4D+EXwf1T4dfDLwraaJoemeKrpLDTLJSI4Q0ULtjJJJLMzEkkkk17hX0mQRcMlw6vf3U/v1/DY+A4lxlPHZ5WrQva6V38UuVKPNKzfvTtzS1fvN6vd/iD/wdJeKPitD+078NdBurm9i8JWng57zQsJiA6m13It0yt/FIsaWeQfuhlx945+lfBOr/Bj9o34W+C9M/ab/AGgLP4gai2h2uoal4W8VeMbK6tY9RNiRcSm1QqN8ayXGM5EYLMMFQw9+/wCCmnwc+F3xei8LD4neBrHWxoWka5qWkLfKxFtdxrabJQAQCRno2Qe4NdT+3z8H/hf8avhN4U8CfFbwRY65o9z4vglnsLxWCO6WF6yk7CDwwB618bm+W1q2Lx9WNZxUFFtdJXjez12VtNGfplbjvA47hfIcpjQdGeFdRSqwtze9JawV4u7WsryjeXWxr/8ABOe71u8/Yo+H7a1JdPHFpMkGjS3sAjkl0mO5lj05yBwd1ktswb+IEMeTXtdcZ+zjb29n+z54GtLSBIoofCGmpFFGoVUUWsYCgDgAAYxXZ1+gYOHs8HTje9opX+R+TZrio47NK+JjHlU5ylbtzSbt02vYK8h/ae8CN441LRdM/s5z9sguNPF5ACZI1maMuo6gcIG5H8B7A169RWWZYFZjg5Ydy5U2tfRp/oc+GrvDVlUSva/4qwUHpxRRXcYH5a6T8cb3RNI+Dcvib9oXUfC/ifWtf1wfEG6fWLWxuxMIbuTUIrgy58gR6gtvGEAGMIo44r6e/Zbj8I/Ef4h2PiLwr8Un8YHTNUkvdS1pdbh1CRpvsjwIk0sXyjCOoC8HAH4+6+Dv2bfgR8P/AIq+Jvjh4M+Fuk6d4s8ZCIeJtct4MTX4jGF35OB0BO0DcQC2SM12scUUQIiiVQeoVcV8Xg+FMTQrwnUxLcYz5uWzs7O6e+76ux9jxBxDluYV3LB4fkUou7aSd5SlJq0fsx5uSOqvGKdo35U6iiivtD448j/ao8EnxtBpOmDTnc3UV3p4uoFJkiFwIwyjqBnYDyOqfWvW40Ecaxg8KABmlorgw+BVDG1sRzX9py6duVW/E3qV3UoQp2+G/wA7sKKKK7zAxPiTpY1v4fa3ozaet2t3pU8L2rA4lVoypXjnkE9K5f8AZr8MvoHgi91CQShtY1d70rKMY/cxQjHHQiEHn1PbFeh0VwzwKnmMMXzfDFxt6tO/4G6ruOGdG27Tv6BXx7+234zt9C/afay+JniyXSvC9v8ABu8utHa5kSK2eY3bjU5VZsb5ooEsPlOdqSk4+Y19hVxXxp/Zy+Bn7Rdpo1h8cPhjpXiaHw9rEeq6NHqkJcWt3GCFkXBGeCcqcq3cHArDOsvqZpl8sPCXK3bXpo76nq8P4/A5fmHPjIt03FxfKk5K/WPNZXvo9Vo2fD/7Mvxf0f4g/Db4fzePf2qLrxP4oudBsribw7qfi+zmb7e1sN+LWIBhKu5xsH3ckY4r71+FHhgeC/hnoPhQNIf7P0qCE+djfkIOuAOa3VtbZG3rboGHQhBmn1y5RklXLa861Wu6jkktVslr1bMc0zOnmFRyp0lTTk5WWyv0Wi0WwVzmo/DbS9R+IFp4/lunEttDtNuEG12GQrZ6jAJ49h6HPR0V7FfDUMSoqrG9mpL1WzPMp1alJtxdrq3yZznjD4b6X4w1/S9fvLp4202Xc0aqCJlBDBSe3zAc+hI9x0dFFFLDUKNWdSEbSm02+9lZfgEqtScVGT0WwUUUVuQeRJ4Ha9/ajHiE6c8AtJzqDSxKds7GwNorMTn+FscY5jHoc+u0UVw4HArAqolK/POU/Tm6fI3r13XcdLcqS+4ju7S1v7WWwvraOaCeNo5oZUDJIhGCrA8EEHBBrj/gh+zt8EP2bfAqfDP4F/DTS/DWhJdy3Q03ToSEM0hBeQliSScAZJ6KAOABXaUV2OEHNSa1XXrqEcTiYYeVCM2oSabjd8rcb2bWzau7N7XdtxFVUUIigAdABS0UVRgfOP8AwUA8Qa1o+ufCSwuNWuLLw3f+PJI9akjKrDNdLp9y1hBM5+6jXIUqP4pUiXkkA/MHwT+OXgTxPpPibTvFP7YMq6R/wn2s22k+H7jxrY29rPp4u2Cx+SMM8LOZQDnLrg5IINfoT8XPhB8M/j18O9S+E3xh8GWXiDw5q8aJqWk36ExThHWRc4IIKuisCCCCoIq94P8AAvg7wB4U0zwN4L8NWem6Ro1hDZaXp9rAFjtreJAkcaDsFVQB9K+UzPh3FY/MZYiGIdNOKWl7+m606+p9bRz3LKWQU8M6F60Xa7UeXl5pS5r/ABc7cuV6WUYrV3tHl/2cfDD+HPAU11KJQ+rapLfMsoxjcqIMDA4IjB59fTFd9RRX0OCwyweDp0E78iSv3sj5evVdatKo1a7ufFv7c3jm28P/ALRnia2+JvjKfSfD1l8EXutAM8iRwZa5uhqc0RbiSZFj00Ec7Q8fH7zniP2e/i1pXxG8GeCH8b/tSXPizxZdaFZ3Nx4f1DxhZ3LLqT2Y84rbQgN5i75htGdoLcccfanxh/Zx+Bn7QF14evfjP8MdK8Ry+FNZTVfDr6lCXNldoQRIuCM9Fypyp2jIOBXZLa2yNvS3QEdCEGa+XxvC+JxuNrVViXGNS2iTd1a1nqlZdPI+rrcQZZ/ZeHpUqH72KXM2opLlVlyNXfvfFO9ve2vuY/w18OL4P+Heg+E0aQjTNGtrUGXG4+XEqc4AGeK26KK+vpwVOCiuisfISfNJsKKKKsQUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAV438dv29v2Yv2b/jv4D/Zw+LXjmew8VfEa4EXh+2h0ueaGPfMlvC91NGpS1SW4kSCNpSoklYIMmvZK/M7/gqr8E/jf4x/b+8O6Z4E+D3ijXrH4p+HPAWiaX4l0fSXnsPD9xoPjlNbv5L6ZfltE+xMZI2fAkeIouWwKAP0xooooAK8u8AftifA34mftO+Nv2Q/CGs6hP40+H2lWWoeJraXSJ4raKG6z5XlzuoSY8fMEJ2ngnIIHqNfF3gf4rR3f/BdLxv4cX4WfEGK0k+Buj6BF4pufAl/Hoct/bX1/qEsaaiY/s7gQXkABDYMm+MfMhFAH2jRRRQAyeeK1ge5uJAscaFnY9AAMk15D+yN+3Z+zt+27Z+J7j4D69q00/g/Vo7DX9O17w9daZd27SxCa3m8m6jRzDNEwkikA2uvIr164mW3t3uHRmEaFiqLkkAZwAOp9q+If+CN3xO1D9ofxN8dP2pPiL8LfH/hDx1498cW02q6D418CX2jRaXo1pFLZ6PZW8l1Ei3rrbQPPPLHkLLeFeAFyAfcNFFFAHM/GT4teEfgT8L9a+Lvjsag2k6DZG5u4tI0ua+u5RkKscNvArSTSMzKqoilmZgAKx/2Y/2lvhL+178E9H/aA+COsXV74d1s3CWzX+ny2lxDNBPJbzwTQSqrxSxzRSRsjAEMhqP9q/xXofgv9m/xnr3ijwz411fSxoU1vqdl8OLeeXXfs0+IJZbJbZlm86NJGlUwnzV8vKZYAHxX/gil4G8ffDj/AIJ0eDfCnj7wdr2gmPV9en0DTvFll9n1gaPNrF5Np8moIQGF49q8Mkpcby7kv8xagD6sooooA84/a1/av+Cf7EfwA179pj9obxJLpXhPw4sB1G6t7R7iUtNPHBEkcSAtI7SSIoUDPOegr0Kyu4NQs4b+2JMc8SyRkjBKsMj9DX5//wDBxj8GP2pPjZ+xgNF/Z8+BP/CxNK0u01q/8UaBbawLa7ST+yp7eyuoIRFK988MlxJMtqihpJI4sMpXn7m+FV14ovvhf4bvfG/hpNF1qbQbN9X0eK9FytjdGFDLAJgqiUI+5d4Vd23OBnFAG/RRRQB478TP24Pg78LP2ofDH7IeseH/ABnqPi/xVpsGoWreHvBl7f2FhazXEtvHNe3UKNHZxmSGQbpSo+XrXsVfAP8AwUO8JeMf+HlvwJ8cfs+eFPjTD8R5dc8P2Gq654dgnHgy48Hx6heS6vb6pIn7kypDLIyJN82+SAxZO/H39QAUUUUAeTeC/wBtf4A/EL9qPxL+yB4Q1zU73xh4RsVn154tBuf7Nt5CkMjWn27Z9na6WK4gkaAPvVJVYjrj1mvzF/YZ+DH7Uvwf/wCC1vxdilsfidb+Edf8SeLfEHiuXVTP/wAIheWF6ujSaFJYbv3LX4kGoxzFP3gSHa/yiOv06oAKr6vqcOi6TdaxcwzyR2lu80kdtC0kjKqliERQS7HHCjkngVYooA8R/Y3/AG/PgZ+3HL4usvhDovjTS77wPf2tn4k0rxx4LvNEu7WW4hM8IMN2iOd0eH6dGU9GGfbq+Yf+CXXgzxd/wg/xS/aH+InhbU9I1v4ufGvxD4gFjrVjJbXcOl2866VpiSRygOgNjp1vIoIHEuRwRX09QAVxP7Rv7Qvwu/ZU+C2u/H74zavcWXhzw9BHJfS2djJdTu0kqQxRRQxBnllklkjjRFBLM6gda7avmT/gsX4S8aeOf+Cc/wAQvC/gfwXrPiCa4bSW1PS/Ddk1xqjaWmrWcmoSWMagsbyO0W4khKfOJY0KfMFoA9h/Zs/aM+Fn7WXwW0X4+fBjVrq88Pa6s4tWv9PltLiGWGeS3ngmglVXhljmikjdGAKshFd1Xy//AMEbvCXi/wAEf8E8/Bfh3xf4K13w+I9T12XRNO8V2TW+r/2TLrN7Lp82oI4Di8ltHglmMn7xpJGZ/mLV9QUAFeO/tift4/s0/sIeHNB8UftI+MrrSrbxHqzWGmLYaTPeyHZE009w6QIzR28EStJLMwCRoMsRkV7FX54/8HEPwE8efGL9n/wzffBdPiCfHjJr/hbw5D4H8CjXYb+PXNLksbixvsuv9nwTLsH285WDYSRlloA/Qu3uILu3S7tZkkilQPHJGwKupGQQR1BFPrA+FXha+8DfC/w34J1S5Wa50fQLOxuJlORJJFAkbMCfUqTW/QB//9k=", 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", 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", "info": {"equation": "16+18*4=88", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "79d6ead27a041d95e254f452f566463d20ccbba2dafd42f6558155951d0d310d"} +{"episode": 43559, "episode_seed": 1167157085, "split": "train", "timestamp": "2025-10-28T03:46:54.135112", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 1167157085, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 0, 1])", "action": "('move', [6, 0, 0, 1])", "reward": 0.0, "image": 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3633vp8IfFzwd8E/h74S0r4z/ALKV3pt98Wbjx3bP4O8VaJfw6jrGvaxcXcKXcE0+5mu0kheQToxKJGWOEGTX6m1+f/hv9nD4E6P+1in7QWmfC7S4vGt58cL2G48RhGNwyHVLiMgZYqpKIqZVQcZGeTn9AK9Lg+hKjSxKcm7VHH7uvq76+iPgeLs3pZjhsHRjKc3CLk5z+L3+X92vel+7hytxu1dzm+WN7BXgf/BUXxV8b/BH7AHxR8Vfs5vqCeL7Lw7v06bSYd9zBCZoxdSxDqHS2M7hh8yldy8gV75TZyRC5XrtOPyr62vSdahKmnbmTV1urrdeh8zlOOhlma0MZKmqipTjNwl8MlGSfLLylaz8mfy/f8Es/iX43+HX7avha78LfE+78KWurPJZeJ9YttShtSNNYCWUNNMCqAtFGc9cqAOTg/rzrVp+zR8e/EWjaX8S/jrp/wAT59PuJJtC8PeJ/GNpqlulw0ZDTJZrhJZRHvAZlfarPjGSa0P+Cd37N3wH+DnxZ8AeLfhf8LNK0XU/EngG7l12+tY2Ml43k2MnzF2bA3uzbVwMnpwMexf8FIPgr8KPjhofw98A/FrwHY67o0njGed7C7DKhkj0q+KNlCrZBJ71+UYbKcRV4fqYlV5KMb+5rZ2+f6H7d4h+IuW8Ycd0MbhqEsPFQjBzVnV+1d2Tino3FLnV47tXsue/4JEiPTPh58R/Bvw/Z3+F+h/Ee6tvhhJGim1Fo0MUt7FaSrnz7dNQe7RHyw4IDHHH1zXjH7AvhXw34F/ZutPBfg3Q7bTNJ0rxLrtrpun2ceyK3hTVboKijsAPxPU5Jr2ev0jJabp5RQi3f3I/ir/hsj8d4lx8M0z2viYRspS67uyS5pPrOduab6ybYV/Or/wcJ+Lfjhrv/BSDxH4e+K02oromkWFongK2uotluumvCjPLABwwa488M/JLR7SfkAH9FVeafH/9jn9l/wDanvtF1P8AaF+Ceh+LLjw9I76PNqtuWa33lSy5UjcpKKSjZU46Vhn+VVc3wPsKc+V3T12fk/z9UfaeEnHuA8O+KnmeMw7rQdOUNLc0W7NSjeyvpyvVe7J+j/Mr9hH4m/E74hf8E6dV+I3xs+It/ca23iWDz/El7foLiG2gOmx28rTdFaOCOP53+YbMvk5Nfor+zR4/1vx5q41bSfGJ8Q6JPZE/2nHercwyFCEV0kQlCxKkHb1+bjI48h+NcEEHxN+INvDCiRr8RfD6rGqgKB9n0MYA9K+yERI12xoFA6ADFfK8P5RWlmVWft3alUs1/O11evX57ng8TZzSzHF1cVGhGCruU1FbQUpc3LHRaRvZbbbC0UUV+inxp8Zf8F7/ABf8c/Bn/BNvxXqHwMm1GGS5v7W08VXWlxbpYNGkLrckkfMiE+WjsvRHbOFLEfkJ/wAEW/jH49+H37TFz4Os/jrqXgrwfrGkTz+KJbXXYbCGV4Y3+zFnmyu4SSADb8xDEdM4/o+1vS9G1vRbzRfEVhbXWn3lrJBf2t5GrwzQupV0dW4ZSpIIPBBOa8k/Y3+D37Dfwu8FatB+xBo/ghdDvdUDazc+DdUiv45LpY1wkkySSHcqMpCFvlD5AG8k/KZxkOIzHM6denX9nZW63X+HVb311P2vhPxKwOQ+GGY8PVcv9rOtK6qWXKuZJL2jab5oct6e+va138pa94Y/ZI+PfiAal8WfiroXxRvNN0e6jtovGHi611RNMs2AN1JFEGCQAgJvn2hgET512ive/wDgkvfeJLr9jqxsb+W8m8O6b4k1ax+Hd1fW6xvP4bhunTTnGMb4/JACOfvRqhyQQxxv+ChX7O/wQ/aB+LPw68O/Gj4Z6b4isbDQ9dubO2vg4WKU3GlKXGxlJ+UkYORz0r2L9jC0tbD9lPwDYWNtHBBB4at4oIIUCpGirhVVRwoAAAA4AFcGQ4Gpg+I8RTnVc3GKu31vZ66vbZanx+Y53Rr8IUsIuaUpTvyytyUlHn0p6t3nzXl7sErWtK916dRRRX3R8IeJfHT4G/sDeOv2gvB3jb9oPw34BuPiTatCvgt/EGoQxajOY5i8SwwtIpuNspJUbXwxOOTXtJs7QnJtY/8AvgV/Mh/wVf8AiB+0LqX/AAUk+JGufGLVdYtNe0LxfPB4ZebdBJZaXDOzac1vtxsTyTHKrL95nL53MTX6m/s3ftJT+IPgR4K8U/GH9vHU7fxVeeHrO58QWk/xC0+HZdMgZ1aIL8nPVe3TivhocYYPD4qtCdBq0rXild20vLbX7z9y498Lcx4b4YynHVMxVdVoaQbdqd0p2pau8NdWlHWzt72n6SqqoNqqAB0AFLXlX7Nvi/xH4yF7rMutNqek3UCXFrfifzYpGf5gYnGVZWU5+U4xtx159Vr6rLMfDM8HHERi4p30fk7H4risPLC1nTbvYK/OP/g5k8XfHHw3+xNoumfDabUYPC+reKVtvHk9hH8pt9m63imccpE8wHoGYIpPIB/Ryud+Lfhf4Y+Nfhhr/hb406dpV34SvNJnTxHDrbKtp9j2EytKzkBFVQWLkjbt3ZGM08ywssbgKlCMuVyVr/107+R9BwTntHhjizB5pVo+2jRmpOHfpp/eV7x/vJH4Ff8ABDD4veKPBvjzxp4O1b9oG+8D+D59HS9m+z+ILbTkuNTE0UcXzzAlz5PnfKvGACf4a+8vHvw+/Yf+NVr4j8bfGjx94d+Ic8Xh8Qav4g8T+KLbU7jStOViVEThgtookJYMgUs7YJOcV9s/sp/DH9lH4a/CGDQP2P8ASPCkXgyW+nuIX8J3kd3aTXJYLK5mR38x8qFJLEgIF4CgD5u/4KC/s1/AX41ftCX3iH4sfCrSdevPD3wzs5tGmv42ItnN1qbkhQwVwWjQ4YMPl6cnP53mvD+Jy7JvaSxLlFW91X5dX018+x+kcQce4LifxFrZnTo1MHGWjcEvbe6kveXNBc0mlf3ny6aSa19y/wCCc2ufFTxJ+w/8NdZ+NC33/CQzeHE+0PqloILmW3DutrJLGANsj2whdsgHLHIByK9rrnPg8xb4SeFmY5J8OWJJP/XuldHX6Zh4Olh4QbvZJXe7st2fjmZ4uOPzKtiYwUFUnKSjHaPM2+VeSvZeQUUUVscR8Ff8HGfiz45eFf8Agnfcp8HpdRi03UvE9rY+PLjToslNHkin3LIw5jie4FtGxH3g+w/KxB+Jv+DXPX/jFbftUeOPDfh2C7fwPdeEFn8UOtsGgjvo5gLHdIR8jlXuwqg/MA/B25H6+/ts6Vp2u/sjfEbQ9Ys0uLS98IXtvd28n3ZYniKsp9iCR+NeS/8ABPb4EfB39nz4p+PPBvwT+HeneG9MufD+i3VxaacrYlmNzqi72Z2ZmO1QBk8AcYr4zMMNJ8XYafO9Yt+nKnp6Pr8z9syHxEy/LfCDH8NTwalVqzup6W95x96XXnhb3GvLa2v1XRRRX2Z+JnxN8efGOvRf8FG9X8P/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+rUdWrKb6tsKKKK3Mz54+Jvwsbxf8ZL7RX0eW1/tfXbC/uZ7RTmYW5ttspLAj7ltGh7cY4NfQ9FFeVluVxy6pWmpuXtJOWvS/Tz9TrxOKeJjCNrcqsFFFFeqch8Zf8ABe/xf8c/Bn/BNvxXqHwMm1GGS5v7W08VXWlxbpYNGkLrckkfMiE+WjsvRHbOFLEfkJ/wRb+Mfj34fftMXPg6z+OupeCvB+saRPP4oltddhsIZXhjf7MWebK7hJIANvzEMR0zj+kDWNI0rxBpN1oOvabBe2N9bPb3tndRCSKeJ1KvG6tkMrKSCDwQSK4H9nr9kf8AZs/ZR0HUPDP7PHwe0jwrZardrdalFp8TE3EqqEUu8jMxAHQZwMsQAWOflc34fxWZZjDE067gkraXuvSzW99dV8z9n4V8UMr4f8Ncw4arYFVKmIk3GenL7yirzvrzU+W9O19bbWu/mXwJ46+HvjLxfD/Y/wC0QfHetxWkkdjb3Xi221Ge3hZ42lEUcOCAzRw7jg/cTp3+uPgn4JT4cfCTw94GjkmYaZpUUObgjfwOc4AGefSulS2t4m3RwIp9VUCn105PkU8sxNS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fRHwPF2b08xw2DoxlObhFyc5/F7/L+7XvS/dw5W43au5zfLG9grwP/gqL4q+N/gj9gD4o+Kv2c31BPF9l4d36dNpMO+5ghM0YupYh1DpbGdww+ZSu5eQK98ps5Ihcr12nH5V9bXpOtQlTTtzJq63V1uvQ+ZynHQyzNaGMlTVRUpxm4S+GSjJPll5StZ+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+5H8Vf8NkfjvEuPhmme18TCNlKXXd2SXNJ9ZztzTfWTbCv51f8Ag4T8W/HDXf8AgpB4j8PfFabUV0TSLC0TwFbXUWy3XTXhRnlgA4YNceeGfklo9pPyAD+iqvNPj/8Asc/sv/tT32i6n+0L8E9D8WXHh6R30ebVbcs1vvKllypG5SUUlGypx0rDP8qq5vgfYU58runrs/J/n6o+08JOPcB4d8VPM8Zh3Wg6coaW5ot2alG9lfTleq92T9H+ZX7CPxN+J3xC/wCCdOq/Eb42fEW/uNbbxLB5/iS9v0FxDbQHTY7eVpuitHBHH87/ADDZl8nJr9Ff2aPH+t+PNXGraT4xPiHRJ7In+0471bmGQoQiukiEoWJUg7evzcZHHkPxrggg+JvxBt4YUSNfiL4fVY1UBQPs+hjAHpX2QiJGu2NAoHQAYr5Xh/KK0syqz9u7Uqlmv52ur16/Pc8HibOaWY4urio0IwVdymoraClLm5Y6LSN7LbbYWiiiv0U+NPjL/gvf4v8Ajn4M/wCCbfivUPgZNqMMlzf2tp4qutLi3SwaNIXW5JI+ZEJ8tHZeiO2cKWI/IT/gi38Y/Hvw+/aYufB1n8ddS8FeD9Y0iefxRLa67DYQyvDG/wBmLPNldwkkAG35iGI6Zx/R9rel6Nrei3mi+IrC2utPvLWSC/tbyNXhmhdSro6twylSQQeCCc15J+xv8Hv2G/hd4K1aD9iDR/BC6He6oG1m58G6pFfxyXSxrhJJkkkO5UZSELfKHyAN5J+UzjIcRmOZ069Ov7Oyt1uv8Oq3vrqftfCfiVgch8MMx4eq5f7WdaV1UsuVcySXtG03zQ5b099e1rv5S17wx+yR8e/EA1L4s/FXQvijeabo91HbReMPF1rqiaZZsAbqSKIMEgBATfPtDAInzrtFe9/8El77xJdfsdWNjfy3k3h3TfEmrWPw7ur63WN5/DcN06ac4xjfH5IARz96NUOSCGON/wAFCv2d/gh+0D8Wfh14d+NHwz03xFY2Gh67c2dtfBwsUpuNKUuNjKT8pIwcjnpXsX7GFpa2H7KfgGwsbaOCCDw1bxQQQoFSNFXCqqjhQAAABwAK4MhwNTB8R4inOq5uMVdvrez11e2y1Pj8xzujX4QpYRc0pSnfllbkpKPPpT1bvPmvL3YJWtaV7r06iiivuj4Q8S+OnwN/YG8dftBeDvG37QfhvwDcfEm1aFfBb+INQhi1GcxzF4lhhaRTcbZSSo2vhiccmvaTZ2hOTax/98Cv5kP+Cr/xA/aF1L/gpJ8SNc+MWq6xaa9oXi+eDwy826CSy0uGdm05rfbjYnkmOVWX7zOXzuYmv1N/Zu/aSn8QfAjwV4p+MP7eOp2/iq88PWdz4gtJ/iFp8Oy6ZAzq0QX5Oeq9unFfDQ4wweHxVaE6DVpWvFK7tpeW2v3n7lx74W5jw3wxlOOqZiq6rQ0g27U7pTtS1d4a6tKOtnb3tP0lVVQbVUADoAKWvKv2bfF/iPxkL3WZdabU9JuoEuLW/E/mxSM/zAxOMqyspz8pxjbjrz6rX1WWY+GZ4OOIjFxTvo/J2PxXFYeWFrOm3ewV+cf/AAcyeLvjj4b/AGJtF0z4bTajB4X1bxStt48nsI/lNvs3W8UzjlInmA9AzBFJ5AP6OVzvxb8L/DHxr8MNf8LfGnTtKu/CV5pM6eI4dbZVtPsewmVpWcgIqqCxckbdu7IxmnmWFljcBUoRlyuStf8Arp38j6DgnPaPDHFmDzSrR9tGjNScO/TT+8r3j/eSPwK/4IYfF7xR4N8eeNPB2rftA33gfwfPo6Xs32fxBbaclxqYmiji+eYEufJ875V4wAT/AA195ePfh9+w/wDGq18R+NvjR4+8O/EOeLw+INX8QeJ/FFtqdxpWnKxKiJwwW0USEsGQKWdsEnOK+2f2U/hj+yj8NfhDBoH7H+keFIvBkt9PcQv4TvI7u0muSwWVzMjv5j5UKSWJAQLwFAHzd/wUF/Zr+Avxq/aEvvEPxY+FWk69eeHvhnZzaNNfxsRbObrU3JChgrgtGhwwYfL05OfzvNeH8Tl2Te0liXKKt7qvy6vpr59j9I4g49wXE/iLWzOnRqYOMtG4Je291Je8uaC5pNK/vPl00k1r7l/wTm1z4qeJP2H/AIa6z8aFvv8AhIZvDifaH1S0EFzLbh3W1kljAG2R7YQu2QDljkA5Fe11znweYt8JPCzMck+HLEkn/r3Sujr9Mw8HSw8IN3skrvd2W7PxzM8XHH5lWxMYKCqTlJRjtHmbfKvJXsvIKKKK2OI+Cv8Ag4z8WfHLwr/wTvuU+D0uoxabqXie1sfHlxp0WSmjyRT7lkYcxxPcC2jYj7wfYflYg/E3/Brnr/xitv2qPHHhvw7Bdv4HuvCCz+KHW2DQR30cwFjukI+Ryr3YVQfmAfg7cj9ff22dK07Xf2RviNoesWaXFpe+EL23u7eT7ssTxFWU+xBI/GvJf+Ce3wI+Dv7PnxT8eeDfgn8O9O8N6Zc+H9Furi005WxLMbnVF3szszMdqgDJ4A4xXxmYYaT4uw0+d6xb9OVPT0fX5n7ZkPiJl+W+EGP4ang1KrVndT0t7zj70uvPC3uNeW1tfquiiivsz8TPib48+Mdei/4KN6v4f+J/iO5stLs/hvaSfDSwvJFhs7oSSytq80RJHnToYbQOOTHFzgKcnxT9mD9orQ9XtfHiaj+27qWk6HafE3V4fBtsnjXT7KM6bujctEhXLxfanuwkhzvQKQSME/oJ+0N+yx+z1+1f4Ys/Bv7RPwo0rxXp2nXv2uxt9SRs282woXR0ZWXKsQQDg8ZBwMdf4d8JeF/CXh+x8KeGPD1nYaZplnFaadYWluqRW0EahI40UDCqqgAAcACvjMTwxjK+Z1cTDEuCl2vf0eq0XQ+6r8S5LPJYUY4a9blhCV1FQioK3PB6yc6lk53Ss+bWXMuX5b/Z+8MeDvibrWg3HgjxiNesNO8R/wBq3WtWWpx3n2i6SR5pGmmTKlnkclsYOW4xX1rTY444l2xRqo9FGKdXt5LlP9kYeVN1HNyk5NtW3t5vt3Pkcbi/rlRS5bJK1grw7/gpN4k+KnhD9h74heIvgzeata67baVDm80G3829tLFrqFb6eBcE+bHZm4kUgFlKAgEgV7jR1616dek61CdNO3MmrrdXVrr0KyvGRy7M6GLlTVRU5xk4vaXLJPle+jtZ6PQ/MT4+/GXwX4B8R/AzSvg9+0DH4bhvtdW2S60TX7SMS+GfscgnkaaQsEi3QW4WQH5nUqCTxXqPhv4i/DHxd4p0+0/4amPjPUYpJG0jTNQ8bWl80cpidWkiiiwxfymkXPOFZuO4+nPgb+xl+yx+zT4g13xV8B/gboHhjUPErhtautMtSrXGHZwoySI03Ox2JtXpx8ox6UtraowZLaMEdCEFfDUeDsasN7KWLaTveKTcf/Slfz0Pps34gyepWpxwNBuMF8c1GM5NtvVR5kuW/Kved0r6X5Vxn7PHglvAPwuttHkE4e61C+1CRLkAMjXV1LcFcYGADJgA84xnJrt6KK+3wtBYXDQop3UUl9ysfH1ajq1ZTfVthRRRW5mfPHxN+FjeL/jJfaK+jy2v9r67YX9zPaKczC3NttlJYEfcto0PbjHBr6HoorystyuOXVK01Ny9pJy16X6efqdeJxTxMYRtblVgooor1TkPjL/gvf4v+Ofgz/gm34r1D4GTajDJc39raeKrrS4t0sGjSF1uSSPmRCfLR2XojtnCliPyE/4It/GPx78Pv2mLnwdZ/HXUvBXg/WNInn8US2uuw2EMrwxv9mLPNldwkkAG35iGI6Zx/SBrGkaV4g0m60HXtNgvbG+tnt72zuohJFPE6lXjdWyGVlJBB4IJFcD+z1+yP+zZ+yjoOoeGf2ePg9pHhWy1W7W61KLT4mJuJVUIpd5GZiAOgzgZYgAsc/K5vw/isyzGGJp13BJW0vdelmt766r5n7Pwr4oZXw/4a5hw1WwKqVMRJuM9OX3lFXnfXmp8t6dr622td/MvgTx18PfGXi+H+x/2iD471uK0kjsbe68W22oz28LPG0oijhwQGaOHccH7idO/1x8E/BKfDj4SeHvA0ckzDTNKihzcEb+BznAAzz6V0qW1vE26OBFPqqgU+unJ8inlmJqV6lZ1JSSV2u3nd3PynGY+OKpxhGCil2/4ZBRRRX0J5x5l8Uf2NP2WvjV8V9C+OXxW+B+g674t8NeV/YmuX9sWmtvKkMsY4IDhJCWUOGAJOMZr0k2doTk2sf8A3wKkoqI0qcJOUYpN76b+vc6q+OxuKpU6VarKUaatFOTait7RTdoq+tlYRVVBtVQAOgApaKKs5Qr84/8Ag5k8XfHLw3+xNoumfDafUYPC+reKFtvHs9hH8pt9m63imccpE8wGezMEUnkA/o5WN8Qvh74J+LHgfVfhr8SPDFprWg63ZPaarpd/FviuYXGGVh+oIwQQCCCAa4sywksdgalCMuVyVr/106PyPp+C8/ocLcVYPNq1FVYUZqTg+q8r6cy+KL6SSZ+A/wDwQ1+N3jjwn4u8X/DvXP2j9U8FeBhpX9oC3i8TW+nwSaq0sMaspnBy5hWTITqEXd0Wv0x8Ean4C+KN9qul+FvjWfHWsahpy2d1cnxJBqV3DbfvFRB5P3EDTSMMr95zyelfVXwL/Zx+Bv7M/gNfhj8CPhlpfhnQlu5Lo6dp0J2vPJjfIzMSzsQqjJJOFUdAAOzjggiOYoUUnqVUCvkIcG4qWGVGri3y9YpNx+V5fp8j6nj/AI/wHFvFuIzbC4RUozsle3M7JLmlZW5nbWzfa7tco+ENCj8LeE9L8MxSO66dp0FqruQWYRxqgJxxnjtWjRRX3aVlY/MG7sKKKKYjmvjHoKeKPhbrvh2bR01CO906SGWzcMRKjDDDC8k7c4A74rg/2YvBUll4h1/4iTidX1KxstPVZAAjLbyXUm5eMk5uWBOcfKBwQa9hory62WRrZrSxrm/cTVujvfW/z/I6oYpwwkqFviadwooor1DlCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooqDVbSXUNMubCG5aF54HjSZOsZZSAw9xnNAHzx+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": "88+3=91", "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": "88+3=91", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "545f2a958addd036f8651d01266cf1b20bea6154b94acd656b5de39f65ddd631"} +{"episode": 43560, "episode_seed": 1036216592, "split": "train", "timestamp": "2025-10-28T03:46:54.203732", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 1036216592, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 5, 4, 4])", "action": "('move', [0, 5, 4, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "30+28=58", "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+28=58", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "2639613177bca230aefd3b615d14ae8365ddd138245372063a1c77c73682ecd9"} +{"episode": 43561, "episode_seed": 3329771084, "split": "train", "timestamp": "2025-10-28T03:46:54.256630", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 3329771084, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 5])", "action": "('move', [0, 0, 5, 5])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "15-6=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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"info": {"equation": "15-6=9", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "efda7e1dffe12644dc07150ecfdfc78a8b0f671862790cdc64a5b8de224203bb"} +{"episode": 43562, "episode_seed": 2488856731, "split": "train", "timestamp": "2025-10-28T03:46:54.316192", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 2488856731, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 6, 1, 8])", "action": "('move', [3, 6, 1, 8])", "reward": 0.0, "image": 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", 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", "info": {"equation": "1*20=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": "1*20=20", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "4c8afa78cf658ba438800003175b4b7ef2fe47c9805cb0b5d1f6690f5fcae88f"} +{"episode": 43563, "episode_seed": 3841010025, "split": "train", "timestamp": "2025-10-28T03:46:54.390890", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 3841010025, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 6, 2, 7])", "action": "('move', [3, 6, 2, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "14+0*2=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": "14+0*2=14", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "3cae2a417bfc6e39e1c778cee66202221b81883a099577a1bdf3eb3fe5b02986"} +{"episode": 43564, "episode_seed": 3703732120, "split": "train", "timestamp": "2025-10-28T03:46:54.449969", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 3703732120, "verbose": false, "save_verbose": false, "elicit_verbalization": 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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", "info": {"equation": "76/19=4", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "76/19=4", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "48b79ef973221a5ffcfdcda848f9d7bef5db12c766629079cd61fe9d772d7e7e"} +{"episode": 43565, "episode_seed": 3195075597, "split": "train", "timestamp": "2025-10-28T03:46:54.525119", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 3195075597, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 5, 0, 0])", "action": "('move', [1, 5, 0, 0])", "reward": 0.0, "image": 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", 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", "info": {"equation": "73+72=145", "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": "73+72=145", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "298e272ebc9480c394936c0cbfbf61f9e99a8c5492a4853c315ed72f68c4d714"} +{"episode": 43566, "episode_seed": 137456276, "split": "train", "timestamp": "2025-10-28T03:46:54.592189", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 137456276, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 1, 1])", "action": "('move', [6, 5, 1, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "69-36=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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QuSkFxYyef9nKjzPkiRIfkXPyLGBj5QDX9Q1eQRfBz9iUftezfFSHw/4JPxrbRv304voTrP2LyxF5pg37gvl4j83ZnZ8u7BxRn+UVc1jSUKvJyyv/AMFea6fPU+08KuP8HwKsy9vgvrH1ii4rRPltfSV/+XUr+/8A4Y6M+WPEJ/Zs+OusaZ4b+JH7Qdl8S47O+a40fw14m8aWepWxufLdRMLVcLNIsbSAFlbaGYgA8j2j/gk0Tbfs3a5oHhxpH8EaR8RtasvhpMY18p9ESVCogdc+dbpctdxxSEndHGvLDDHX/wCCinwc+F3xp+HXg74f/FXwRZa3ot146SSfT7oMEdk0zUGQ5QqwwwB4Ndf+xB4f0Pwn+zNoHhbwxpMFhpum3mqWthY2sYSO3hj1K6RI1A6AKAB9K8jKMvrYHiScKlZ1Gqd7vrdpWer2PmsTnNGpwi8Kua8qitF25IKKb5o6355NtP3YpK+snL3fWK8O/wCClXib4xeDf2Dfin4n+AT3yeLLLwnPJpkumRb7mFcqJpIh13rCZWBHzAqCOQK9xoIDAqwBBHINfZ16brUZU07XTV1urrf5Hy+V4yOXZnQxcqaqKnOMnGW0uWSfK/J2s/Jn82v/AARd+LvjXwD+1JdeHbf456l4L8L61otxL4ourbXobGOdoUY2xeSbKlhLJgY+Yh27Fq/ZX4C/F9vEuuw6D8O/2hrjxxcRX0c00T+J4NReFWwuH8jG2MhT94f3iDXuPwL/AGTP2bf2Zv7b/wCFCfBvRPC3/CR3wu9b/su22/apRu2k5Jwq732oMKu44Aya9BjggiOYoUUnrtUCvi8JwljqNOMXi5JJ35Y3tvfTVflufpfiZ4iZbxxxRPM8Lg/ZxcIx963M7L4pWTV9eVav3Yx9E+iiivuT8mPzS/4OevFPxl0T9jrwrofgeW/i8J6v4t8nxtJZx/u3CR+ZaRTMORGZVZgD8peNM8hQfmP/AIIjfHbxHp/wG8SeC/iH+1fq3hDQdF1qJPCmlf8ACX2thGvmrJLdeWkwLFd7RscfKGdsclq/Zz47+EPgv48+EOv+FP2iLDRbnwVd2J/4SKPxDOkVkIFYPvld2URhWVWD5G0qCCCAag+AfgT4D+BfhBoXhb9nPSNAg8FW1oT4fTw7Kk1m0TOzl45FLCQM7Mxbcckkkk18lmXD+Jx2bPEU8S6d4paXurdtVo9/U/YcL4iYHD+Ev+rEsBzT9tz+1suXfmve1/a29z/r316HwLYeCfgd4P8Ajf8AB/4l/s1z6ZqXj7WPi7CkniPSLqHUdQ12yuXca893OCzTRramWR3PELrEF2bgrfpdXxF8E/gF8F/Cv7csPxv8O/DfTbTxdrfxL8T2+qa/GjGeeIR6qNnJIUfuo87QM7BnNfbtPhGhKhhKycm/3klr5WV/n1PjuLc1p5j9VhGUpuFPWU/ibk2+Vay9yH2bu7blK0b8qK/BX/g5v8T/ABkv/wBtvRPCXjCW/XwdYeEYJvB0Eke21aSVj9skQjh5DIiKxPzAJGOBjP71V8q/8FGPgN8HPj1448BaT8Zfh3p/iO10vRtdvNPt9RVikM4l0xd4CsM8EjByD3Fb8W0nUyOo07crT9dUrP77/I93wi4vwnBPGtLMsTQ9rHlnGytzR5l8Ub6X0s9V7spHyf8Ase/GHQviR+xF4O0P9ov9su+iuNT8LtZ674du/iFZ2cbWW6SKO3eNNrxo1sI1I3BiGOSCTXvX7CegeD/hv+2/rfw7/Z20uz07wZcfC+LUPGuj+HreIaZa6qLqCPS5js4iuZrP7XkDBkjgids8Mfd7nTdOuP8AgnzJbzWELI/wbKshjGCDpOMVwH/BOP4F/B/4AeJ/G3hL4L/D7T/DmnXWjaHd3Nrp6tiWdpNSUyMzlmY7VUcngDivDw+VYjA59hPaV5T5lJ630SW270dzGtxPhsVgszqqm6arSdqUbeyXPO93qtaenIlHdJ8y5bP6oooor9BPzg8f1T4N/sSXn7Xtl8U9X8PeCG+NSaPmxnmvoRrJsxG8Xmrbl9zKI/MTzdhIUFd2BgeuLa2qMGS2jBHQhBX8xf7SPxj/AGqdB/4KheKfid4g8X61o3xJ074izwWt+8i289kiymCCNN3yJELcoig/IYzzlSSf2c8E/HTwmfE0dhoP7Z114hu7wNb2+k3Hj2zuvOZv7kcYDl+ONpz1r4WHGWDoSqxlQafM9ra+ctrPvuftHiL4aZhwtQyydXHrEKtRTV23yWs+WGr/AHfve49L+9oj7corF+Hlzrd54J0268RB/tj24MxkGGPJwWB6EjBPvW1X2tCqq9CNRK3Mk7PdXV9T8aqQ9nNx7Ox5L+3l4g+LnhX9jL4m+JPgOLz/AIS+y8GX02gtp0PmXCTiIndEvd1G4rgE5AwCcCvwA/4I7fF7x74F/bAj0+z+N+p+D9A1/TLs+MdRg12KyW4SOGSSAySz5Ut9oKYP3vnYDhmr+lmvHv2ZPgx+xB8NfEnjW+/ZQ8OeB7bVNQ1jHjr/AIRW9hnkjvFeU+VcKjt5DKzS4iwoB3YUYr57O8kr5njKNSnX9nyprrf1jqtej12P1vgjxBwXDPA2cZPVwPtpYpRtOytG/u++2npH4qe/v9r3Pi/41eEf2L/jF4P8W+O/jD8VNJ8e3eneE5Ip/EOteKLbU7zRLRWZ4za7Ti3bzypUqoaSQqhLAha+8f2T9X+J2v8A7L/w71z41wXMXjC88E6ZN4ojvbYQzLftaxmcSRgAI/mFsqAMHIr5l/4KR/s//BT4sfFa48U/En4aaZrWoeF/hpJdaBcXsbH7FN51029VBCsd0aH5gR8o4r7VsSWsoWYkkxLkn6VxcN4Opg81xlOdRzceRNvrdN3er1W258rnecUsXw5hMMuZtSlL3rWppe6oU9W7S0c9I6qKUfdu5a/Or/g5h8UfGLw/+whpmnfD2a/i8Par4wt7bxvLZR/KbTy3eGOZhysbXCxexYIp6gH9Fa5j40eFfhN42+E/iDwt8d7DSLnwdeaXKviSPXpVjsxaBdztK7kCNVA3b8jbtDAgjNfS5lhZY3AVKEZcrkmr/wBdO/kcfBWeUuGuLMFmlWj7aNGpGTh1fp/eW8f7yR+Jn/BDr45+J9H+FHjDwN48/an1Xwd4Z0rU7Z/DGmr4ttdPi86YTNdmNZgWIyISQPlBYkcs1fUereDPgb4Y+JHw1+L37Od9pusfEvU/jFY/Y/FOmXsOp6prQuZ0TWluJwWMsS6c9w8n8MCohUR55+/P2c/h9+zv8P8A4N6N4Y/Zh0jw7D4HhSV9EHhq4juLNw0rtI6SozCTMhfLbic554r5b8AfAP4M6J+3hH8etJ+HGmweMtR+KWrWl74hVGNxJALK9XZy21RtjQEqASF5PJz8FichxOAeE58S5J1IJLW0b9Y6/doj9BzbjzB5zxlmWbQoSoRmpP2aS/eWSjy1ldJKesqmk9W4pa8y+36KKK/Sz8WPhz41+PI7D9tj4tWXxt8ZyaZpuleDNIfwpBqc8dvax6C1u7X13AWIEhN75iTOc7fJt1OAV3eUfsxfHbw74x/Zk8Jn4y/tsX8t1qGghNX0XV/HdhbrNbMWVIZoAFKBoNgZOCNxBwc197/HT9k79m/9pm/0DU/j38HdF8VXHhe8a60GXVbcubSRihbGCNysY0JRsq2wZBxXfmztCcm1jJ/3BXxlfhfGVsfWrxxTgpu+l7+j1Wi2W+h9vjOI8oq5VRpUsN+9tTU21FKPs4ci5Grt+0+OpdR95L4tzyn9l3wiLE65493Ska0tpBHux5bJAJSHTjnJnIzkj5Rjoa9aoAAGAKK+ly3BLLsDDDKV+Vb7X1ufH4mu8TXlUatcK/l+8V/Gj9qvQf8AgplqfxR8VeNtb0H4mr8RJbbUtSeZbW4sy0xtniy/yRxLAfLAP7sRgD7tf1A154n7J37N8f7QEn7VKfBzRR8Q5bL7JJ4r+zn7U0XliLGc7d3lgR78btny5xxXnZ9k9fN40lTqcnJK/X71bqunq9T9Q8LvETLuAVmKxWDVf6zRcI7aPX3ZX/5dzv79rv3Y6M+WtC+JPwx8V+K7HT4/2r38ZXcdy76RpGoeOLS9/fGN08yOKPDNII3kXvhXbjuPrn4EeDm8B/CvTPDr+cG33N06zgB1a4uJLgqQAMYMpAHUAc811a2tqjBktowR0IQVJUZTkVTLcXLEVa7qSkuXVdL33bZ+c4vHxxNFU4wUUnfT/hkFFFFfRHnBRRRQAUUUUAfml/wc9eKfjLon7HXhXQ/A8t/F4T1fxb5PjaSzj/duEj8y0imYciMyqzAH5S8aZ5Cg/Mf/AARG+O3iPT/gN4k8F/EP9q/VvCGg6LrUSeFNK/4S+1sI181ZJbry0mBYrvaNjj5QztjktX7U/FP4V/Dv43fD/VPhV8WfCFnr3h3WrcQ6ppN/HuiuEDBgDjBBDKrAgggqCCCAai+FXwc+F3wP+H+m/Cv4S+BtP0Hw9o8TR6bpVjDiKBWdnbGckkszMSSSSxJJJr5TMuHcXjs0eKp4h004paXurdFqtHvvv0P17C+JOWYfwp/1UlglKr7b2ntNLWvzc21/af8ALva3s+vQ8C/ZY0Hwr438YaD4t8GeLv7esNFv72/k1q11KO8W6upYbiKVpZkyrOzXMjEDB3DoACK+oqRI44l2xoFHooxS16uT5X/ZOFdFzc25OTbVtXbzfbuflmMxX1uqp8trK1gr4p+Onju5039vDxvZfF/xc2m6RpPw80yfwZBqdwlvZDTnaZ9Uuo2YgO4migWZjyiRw52qQW+1q89+P37KP7OX7U1po9j+0L8ING8WRaBem70dNWgL/ZpWADFcEZVgq7kOVbauQcCpz3Laua5e8PTnyu6fk7dH/W9j1eHMxy/LsZP67FunOLi3FJzj70ZKUVJpX93leq92Utej+Af2Wvjr4X8X/sz+H4vin+2zqQF3ZXNvLo+qeObC0Emmi4mjtoprcKDGGtBCGThsMc4Oa+4P2VvC0ME+t/EG2d2h1ezsbW2ZSDE8UBuHV0IHzA/aSM5IOBjoc+trYWKKESziAUYAEYwBUoAAwBgDsK87L+HK2Dx0MTVxMqnImkmu6t1k/wCrE5rnNDMKtZ0aCpRqScrLaKbukrJbbLyCiiivqTwTzu//AGTP2btT/aAt/wBqjUPg5os3xCtbP7Lb+KntyblIvLaL12lvLZk3kbtp25wAK9AW1tUYMltGCOhCCpKKiFOnTvypK7u7dX3fmdOIxmLxagq9SU+SKjHmbfLFbRV9oq7slogoooqzmPJf28vEHxc8K/sZfE3xJ8Bxef8ACX2Xgy+m0FtOh8y4ScRE7ol7uo3FcAnIGATgV+AH/BHb4vePfAv7YEen2fxv1PwfoGv6ZdnxjqMGuxWS3CRwySQGSWfKlvtBTB+987AcM1f0s1518FP2Sf2a/wBnLWPEOv8AwO+DOieGrzxXeC68QT6bbbTeSBnYZySFUNI5CLhRuOAK+azvI8TmmLpVaVZ0+RNaXur9VZrV7PVaH61wV4jZdwtwTm2SV8Gqs8Wkoy0stLe/fW0Pjp2TtO+17nzF4Pl8BfGi61Xwr4d+OknjnVdW0z7Bc3B8T2+o3VravvUBREMIgaRmyVxk8ntX3BBEIYEhByEQLz7Ckjt4IjuihRT6qoFPrpybJp5VKrKdV1JTtdtdr+bvufmeNxqxailDlUb7ef3BX51f8HMPij4xeH/2ENM074ezX8Xh7VfGFvbeN5bKP5TaeW7wxzMOVja4WL2LBFPUA/orWH8Sfht4D+MPgPVfhh8T/C1prega3Zta6rpV9HuiuIm6qR1HOCCMEEAgggGu/McLLHYGpQjLlcla/wDXTv5Hs8GZ9Q4X4qwebVqXtYUZqTjpql2vpzLeP95I/EH/AIIdfHPxPo/wo8YeBvHn7U+q+DvDOlanbP4Y01fFtrp8XnTCZrsxrMCxGRCSB8oLEjlmr9Mf2YdD8I/EDxfofiPwZ43/AOEitNH1i51G61u21SK9+03TQTxP50yZUuftBJAweB2r3/4P/A/4SfAH4e2Hwp+DfgDTvD/h3TPM+w6VYQ4jiLu0jn5iSSzsxJJJJNdRHHHEu2KNVHooxXzGD4UxFGpRnVxTkqbUuWztddFd6fdse3x1xphOK+JsbmeGwqpRrvRaXtZRvKy+KVuaWr95vV7jqKKK+0Pz0KKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACuQ+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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", 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", "info": {"equation": "69-36=33", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "67904e0ca424d38d16daf0bd3a833f1ab0d1dbcc77a9e927d01f1b049b610501"} +{"episode": 43567, "episode_seed": 1347364622, "split": "train", "timestamp": "2025-10-28T03:46:54.652116", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 1347364622, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 5, 6, 4])", "action": "('move', [3, 5, 6, 4])", "reward": 0.0, "image": 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J0rxLrtrpun2keyK3hTVboKijsAB9T1OSa9nrsyWDp5RQi3f3I/ir/hsjw+Ns6o8RcW43MqVJUo1akpKK6a9bdXvJ9ZNsK/nV/wCDhPxb8cNd/wCCkHiPw98VptRXRNIsLRPAVtdRbLddNeFGeWADhg1x54Z+SWj2k/IAP6Kq80+P/wCxz+y/+1PfaLqf7QvwT0PxZceHpHfR5tVtyzW+8qWXKkblJRSUbKnHSufP8qq5vgfYU58runrs/J/n6o+o8JOPcB4d8VPM8Zh3Wg6coaW5ot2alG9lfTleq92T9H+eP/BP/wDaU8R+LP2QvBut/Hv9unW9O8SyWk0c9pdfECxtpY7dJ5EttyOC4JgWM5f5mzluSa+7f2ZfiBrvj3VF1fS/GJ8QaLPYEnU0vVuIZCuEV1kT5CxKkHb1+bjI49mj0+wijWKKxhVVUBVWIAADoBUqIka7Y0CgdABivOwfDeMw+Kp1Z4yclF3s72fl8T/LY+VzviDD5vj8TiaeFjSVacpKMbWjzSbstFor2W2wtFFFfWHzJ8Zf8F7/ABd8cvBn/BNvxXqHwNl1GF7m/tbTxVdaXFulh0aQutySR8yIT5aOw6I7ZwpYj8f/APgi58U/F3w//anuNDs/jPeeCvDOr6HO3ie+tdYt7BZRCjG2VpZgQD5zjCrydx7Zx/SHrel6Nrei3mi+IrC2utPvLWSC/tbyNXhmhdSro6twylSQQeCCc15J+xv8Hv2G/hd4K1aD9iDR/BC6He6oG1m58G6pFfxyXSxrhJJkkkO5UZSELfKHyAN5J+UzjIK+Y5nTr06/JZW63X+HVb311P2vhPxLwOQ+GGY8PVMv9rOtK6qWXKuZJfvG03zQ5b099e1rv5S17wx+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/FcVh5YWs6bd7BX5x/8HMni745eG/2JtF0z4az6jB4X1bxQtt49nsI/lNts3W8UzjlInmAz/CzBFJ5AP6OV5B+3l4a0Hxn+yn4o8I+KdLjvtM1STT7TULObOyeGTULZXQ4IOCpI4IPNRnFF18qrQUre69V5a/js/I+i4Iz2jwzxdgs0rUVVjSqKTi+vS6vpzK/NF9JJM/E3/ghr8b/ABv4T8X+L/h1rf7SGqeCvAw0r+0RbxeJrfT4JNVaWGNWUzg5YwrJkJ1CLu6LX6Y+CNT8BfFG+1XS/C3xrPjrWNQ05bO6uT4kg1K7htv3iog8n7iBppGGV+855PSu8/4J3/BL4SfAzxN4+8BfCL4f6doGjrBpFx9hsYztMr/bNzsWJZmIVRkk8KB0AFfUMcEERzFCik9SqgV8RlvDVfMsqpzlipKEteWzaVn/AIrfgfWeI/HOC4l4zxOZYbCKmpWS25naKXNKy+J9bN9rvco+ENCj8LeE9L8MxSO66dp0FqruQWYRxqgJxxnjtWjRRX6QlZWPypu7Cv5Svj38VP2m2/bH174rfFfWtXs/ipp/jP7TdXN5GI7mx1G3mHlKqHKoIjHGqKPkCooHygV/VrXiWv8AwN/YH1L9sPTvif4j8N+AX+Nq2iy6c9zqEI1mSJIHRZltjJukKwq4EmwkKnBAQY+d4hyerm0KShV5OWXXrf8AVdPV6n7H4P8AiLgvD6vmE8RgXifbUrKyV48t3aV9qUr/ALx6/DF2Z8qXvj/4P/FH4XQeDfjj+2hNrVlquk26eJ9A1L4m2a212xRGmgmEJQmMuGVkDAMuVOQSD0n7GPhXwd8L/wDgope+Dv2a/D9hpfh/U/ho9z8UtK8O2EKWFrexXES6PJJ5YxBcSRSX2EG3fGgcqc7z9P8A7a/h/RNb/ZH+I2i6tpUE9peeEb2C6geMbZI3iKspx2Kkj8a8o/4J7fAf4Ofs9/FPx54O+Cfw707w3plz4f0W6ubXTkbEsxudUXezOzMx2qoGTwBxivn4ZViMDxJhYVMRKo2pO7vfRPTVvR9T5zBcQYeHD+NjyyXOnFUlb2V52TnLX4oWTglB+9GLcly2f1ZRRRX6Gfnx+Ev/AAc8+Lvjjdftd+GvBPiqfUY/Adr4WjuvCVu0e20mumZlvJFI4klBEStnlVK8ANlvS/8Agkp+0V4p1T9j6wsfjT+2frPh9tJ1abTvDOlzeOLOzMOlRRQrEqxygvsD+cqlv4VAHyha/VD9ob9lj9nr9q/wxZ+Df2ifhRpXivTdOvftdjb6kjZt5tjIXRkKsuVYggHB4yDgY6/w94S8L+EtAsfCvhjw/Z2Gm6ZZxWmn2NrbqkVtBGoSONFAwqqoAAHQCvjMTwxja+Z1cTDEuCl2vf0eq0XQ/a818VMqzDwxwHDEcAlVoSu5vl5dL+9HRvnne827a33vp8tfs/eGPB3xN1rQbjwR4xGvWGneI/7VutastTjvPtF0kjzSNNMmVLPI5LYwctxivrWmxxxxLtijVR6KMU6vbyXKf7Iw8qbqOblJybatvbzfbufkGNxf1yopctklawUUUV7BxhXmH7T2hDVdD0bVG0dbgaZqTzx3OCWtnaF4twxwAUkdST6j1r0+iuHMsH/aGBnh+bl5la+9jfDVvq9eNS17HEfs8eCW8A/C620eQTh7rUL7UJEuQAyNdXUtwVxgYAMmADzjGcmu3oorfC0FhcNCindRSX3KxFWo6tWU31bYUUUVuZhRRRQAUUUUAfGX/Be/xf8AHPwZ/wAE2/FeofAybUYZLm/tbTxVdaXFulg0aQutySR8yIT5aOy9Eds4UsR+Qn/BFv4x+Pfh9+0xc+DrP466l4K8H6xpE8/iiW112GwhleGN/sxZ5sruEkgA2/MQxHTOP6QNY0jSvEGk3Wg69psF7Y31s9ve2d1EJIp4nUq8bq2QyspIIPBBIrgf2ev2R/2bP2UdB1Dwz+zx8HtI8K2Wq3a3WpRafExNxKqhFLvIzMQB0GcDLEAFjn5XN+H8VmWYwxNOu4JK2l7r0s1vfXVfM/Z+FfFDK+H/AA1zDhqtgVUqYiTcZ6cvvKKvO+vNT5b07X1tta7+ZfAnjr4e+MvF8P8AY/7RB8d63FaSR2NvdeLbbUZ7eFnjaURRw4IDNHDuOD9xOnf64+CfglPhx8JPD3gaOSZhpmlRQ5uCN/A5zgAZ59K6VLa3ibdHAin1VQKfXTk+RTyzE1K9Ss6kpJK7Xbzu7n5TjMfHFU4wjBRS7f8ADIKKKK+hPOPMvij+xp+y18avivoXxy+K3wP0HXfFvhryv7E1y/ti01t5UhljHBAcJISyhwwBJxjNekmztCcm1j/74FSUVEaVOEnKMUm99N/XudVfHY3FUqdKtVlKNNWinJtRW9opu0VfWysIqqg2qoAHQAUtFFWcoV8p/wDBT/xV4j8O3HwhstV1270r4fX3xCA8d38LLHb747eSXTYrqUkeVbvepCCSQrMEUnkBvqysb4h/D3wR8WPA+q/DX4k+GLPWtB1uye01XS7+IPFcwuMMrD9QRgggEEEA1xZlhJ47A1KEZcrkrX/rp0fkevkWPw+WZrTxFeHPBcya0vaUXHmjfTmjfmjfTmSPzj17466bof7deq+C7D9qO78KaLD8NoZPE9tY+JbOxhj1ZL4raozyAsZjbvclo8/KojYgblz7t8H/AIzDxBdN4f8Ah1+0ddeNbyO4W4MQ8TwajNFnCAEQciM+jDGSa+ifgX+zj8DP2Z/Aa/DL4D/DHS/DOhLeSXR0/ToTteeTG+RmYlnYhVGWJOFUdAAOzjggiOYoUUnqVUCvk6HCOOhRjB4ySS6K9l6e8vy+R6+bZ9ldfFL6ph/cjFRTkkpStvKSV0m30UnZWXM7XZAZmgRrhQJCg8wL0Bxzin0UV9wlZHyIV/Kh8bfjH+1Vp37aGvfGH4i+KNd0v4s6d4wea6vpf3F5Y38UmxEVeiKgVUVB8gQBRla/qvrzLVv2NP2W9e/aCtf2qtY+B+g3HxCs0VbfxTLbE3C7YjErEZ2s6xnaHKlgAuCNox8/xBk1fOIUlTqcnI79fv06rp6vVH7B4R+JWW+HNfHTxmD9uq9NRW101f3Xf/l3O/v2u/dj7rPkPR/jH8O/EfgqwsPiZ+25NqTXelwDXtH1L4jWDW9xI0amaGRExlC24FQRxxmvqf8AZf8ABpttd174ku02dVsLKxj3AeW6QSXMm9eMnJuSCckfKPQ1699is/8An0i/79ipAAOAK58Bw3WwmYQxVbEyqOKdk13Vt3Jn5ti80hiKMqcKSgpO+m299rBRRRX1J5AUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFQaraS6hplzYQ3LQvPA8aTJ1jLKQGHuM5oA+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/hrxR8MtT0nSvCvhKyuwLXT0vrqFIr29lklFxKVPchFCo1AH6X0UUUAFFFFAHzv+2b/wVF/ZM/YJ16y0P9ovVvFNmlxZxXl/qujeCdQ1Gw0e1ln8iOe+ureForRGkBVfMYE7TgV9A6bqVhrOnW+r6XdpPa3UCTW08ZyskbAMrA9wQQa/Mr/g4vsLj45/C6L9m/wP8Cv2g9e+JEVlb3/wyl+Hui3dx4T1i/mvoM22sbCbSVIfsqOUvVCqspMZO5q/ST4exeJ4PAGhweNbe1i1lNHtl1eKyUCFLoRL5qxgcBA+4DHbFAGxRRRQAUEhQWYgADkmivE/+CjfhD9pb4hfsR/EX4f/ALIUUL/ELXtAbTtD87VEsSqzyJFcMlw4KwSi3aYpIQdr7Tg4xQAv7Gv/AAUF/Zf/AG+YvG93+zD41uNdtfh/4sm8O6/evp0kMLXkYyTA7gCaMjkSLwQQR1r2uvzK/wCDfX4WftJfBP4t/tM+A/it+xL/AMKg8LyePdPl8PWq+IzfW8bQ6ZbWotLWT7NCL2FYokc3ifKzsybdykn9NaACiiigAr5z+JX/AAVA/Z1+Gf7VU37HFz4Q+JWu+MrN9KGqnwl8NtS1Ww0xdRJFrJdXVtE0VsjAOS8hAAjck4U4+jK/Jb/gqh4A+IWlft2v4/8A2FPAn7TOl/tE694v8IQQ63oNrdx+ANW0W2Cic38sX+iSQxwS3SOtyfMWTOwbWyQD9aaKKKACiiigDkPj58evhL+zB8Hdf+Pnx18aWvh7wn4YsDd6zq13kpDHkKAAoLOzMyoqqCzMwABJFc/+yl+1x8Jv2yPh5P8AEj4SWfiWztbS/NneWHi7wpeaNfQSeWkilre7jSTY0ciOrgFWDAg187/8HBP7O3xi/aY/4Jl+J/BPwO0HWNW1vSvEeh67JpHh0btQvLSy1CGedbZf451jVpET+JowACSBVH/ghtb/ALQcfw6+LFz8RJ/iw3w3n+J0zfBQfHB7pvEo0b7NF5puPtn+kiI3Pm+WJfmwGx8uKAPuWiiigD//2Q==", 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", 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", "info": {"equation": "31-3=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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2b7TwZ4O0S303SdK8S67a6bp9pHsit4U1W6Coo7AAfU9TkmvZ67Mlg6eUUIt39yP4q/4bI8PjbOqPEXFuNzKlSVKNWpKSiumvW3V7yfWTbCv51f8Ag4T8W/HDXf8AgpB4j8PfFabUV0TSLC0TwFbXUWy3XTXhRnlgA4YNceeGfklo9pPyAD+iqvNPj/8Asc/sv/tT32i6n+0L8E9D8WXHh6R30ebVbcs1vvKllypG5SUUlGypx0rnz/Kqub4H2FOfK7p67Pyf5+qPqPCTj3AeHfFTzPGYd1oOnKGluaLdmpRvZX05Xqvdk/R/nj/wT/8A2lPEfiz9kLwbrfx7/bp1vTvEslpNHPaXXxAsbaWO3SeRLbcjguCYFjOX+Zs5bkmvu39mX4ga7491RdX0vxifEGiz2BJ1NL1biGQrhFdZE+QsSpB29fm4yOPZo9PsIo1iisYVVVAVViAAA6AVKiJGu2NAoHQAYrzsHw3jMPiqdWeMnJRd7O9n5fE/y2Plc74gw+b4/E4mnhY0lWnKSjG1o80m7LRaK9ltsLRRRX1h8yfGX/Be/wAX/HPwZ/wTb8V6h8DJtRhkub+1tPFV1pcW6WDRpC63JJHzIhPlo7L0R2zhSxH5Cf8ABFv4x+Pfh9+0xc+DrP466l4K8H6xpE8/iiW112GwhleGN/sxZ5sruEkgA2/MQxHTOP6Ptb0vRtb0W80XxFYW11p95ayQX9reRq8M0LqVdHVuGUqSCDwQTmvJP2N/g9+w38LvBWrQfsQaP4IXQ73VA2s3Pg3VIr+OS6WNcJJMkkh3KjKQhb5Q+QBvJPymcZDiMxzOnXp1/Z2Vut1/h1W99dT9r4T8SsDkPhhmPD1XL/azrSuqllyrmSS9o2m+aHLenvr2td/KWveGP2SPj34gGpfFn4q6F8UbzTdHuo7aLxh4utdUTTLNgDdSRRBgkAICb59oYBE+ddor3v8A4JL33iS6/Y6sbG/lvJvDum+JNWsfh3dX1usbz+G4bp005xjG+PyQAjn70aockEMcb/goV+zv8EP2gfiz8OvDvxo+Gem+IrGw0PXbmztr4OFilNxpSlxsZSflJGDkc9K9i/YwtLWw/ZT8A2FjbRwQQeGreKCCFAqRoq4VVUcKAAAAOABXBkOBqYPiPEU51XNxirt9b2eur22Wp8fmOd0a/CFLCLmlKU78srclJR59Kerd5815e7BK1rSvdenUUUV90fCHiXx0+Bv7A3jr9oLwd42/aD8N+Abj4k2rQr4LfxBqEMWozmOYvEsMLSKbjbKSVG18MTjk17SbO0JybWP/AL4FfzIf8FX/AIgftC6l/wAFJPiRrnxi1XWLTXtC8XzweGXm3QSWWlwzs2nNb7cbE8kxyqy/eZy+dzE1+pv7N37SU/iD4EeCvFPxh/bx1O38VXnh6zufEFpP8QtPh2XTIGdWiC/Jz1Xt04r4aHGGDw+KrQnQatK14pXdtLy21+8/cuPfC3MeG+GMpx1TMVXVaGkG3andKdqWrvDXVpR1s7e9p+kqqqDaqgAdABS15V+zb4v8R+Mhe6zLrTanpN1Alxa34n82KRn+YGJxlWVlOflOMbcdefVa+qyzHwzPBxxEYuKd9H5Ox+K4rDywtZ0272Cvzj/4OZPF3xy8N/sTaLpnw1n1GDwvq3ihbbx7PYR/KbbZut4pnHKRPMBn+FmCKTyAf0cryD9vLw1oPjP9lPxR4R8U6XHfaZqkmn2moWc2dk8MmoWyuhwQcFSRwQeajOKLr5VWgpW916ry1/HZ+R9FwRntHhni7BZpWoqrGlUUnF9el1fTmV+aL6SSZ+Jv/BDX43+N/Cfi/wAX/DrW/wBpDVPBXgYaV/aIt4vE1vp8EmqtLDGrKZwcsYVkyE6hF3dFr9MfBGp+Avijfarpfhb41nx1rGoactndXJ8SQaldw237xUQeT9xA00jDK/ec8npXef8ABO/4JfCT4GeJvH3gL4RfD/TtA0dYNIuPsNjGdplf7ZudixLMxCqMknhQOgAr6hjggiOYoUUnqVUCviMt4ar5llVOcsVJQlry2bSs/wDFb8D6zxH45wXEvGeJzLDYRU1KyW3M7RS5pWXxPrZvtd7lHwhoUfhbwnpfhmKR3XTtOgtVdyCzCONUBOOM8dq0aKK/SErKx+VN3YV/KV8e/in+02f2x9e+K3xY1rV7L4qaf4z+03V1eRiO5sdRt5h5SqhyqCIxxqij5AqKB8oFf1a18BfH39nH4F6/+1p4x+P+ufC7S7rxnp3xK8Ow2HiGeNmngRYdFVdoLbMhXYBtuRng5xXx3GWHlVw9CSk176X/AIF19VbT1Z+0eDXiFl/AWKzB4rCKv7alZbXTi37rv/y7nze/a792OjMS98f/AAf+KPwug8G/HH9tCbWrLVdJt08T6BqXxNs1trtiiNNBMIShMZcMrIGAZcqcgkHpP2MfCvg74X/8FFL3wd+zX4fsNL8P6n8NHufilpXh2whSwtb2K4iXR5JPLGILiSKS+wg2740DlTnefp/9tfw/omt/sj/EbRdW0qCe0vPCN7BdQPGNskbxFWU47FSR+NeUf8E9vgP8HP2e/in488HfBP4d6d4b0y58P6LdXNrpyNiWY3OqLvZnZmY7VUDJ4A4xXnQyrEYHiTCwqYiVRtSd3e+iemrej6ny+C4gw8OH8bHlkudOKpK3srzsnOWvxQsnBKD96MW5Lls/qyiiiv0M/Pj8Jf8Ag558XfHG6/a78NeCfFU+ox+A7XwtHdeErdo9tpNdMzLeSKRxJKCIlbPKqV4AbLel/wDBJT9orxTqn7H1hY/Gn9s/WfD7aTq02neGdLm8cWdmYdKiihWJVjlBfYH85VLfwqAPlC1+qH7Q37LH7PX7V/hiz8G/tE/CjSvFem6de/a7G31JGzbzbGQujIVZcqxBAODxkHAx1/h7wl4X8JaBY+FfDHh+zsNN0yzitNPsbW3VIraCNQkcaKBhVVQAAOgFfGYnhjG18zq4mGJcFLte/o9Vouh+15r4qZVmHhjgOGI4BKrQldzfLy6X96OjfPO95t21vvfT5a/Z+8MeDvibrWg3HgjxiNesNO8R/wBq3WtWWpx3n2i6SR5pGmmTKlnkclsYOW4xX1rTY444l2xRqo9FGKdXt5LlP9kYeVN1HNyk5NtW3t5vt3PyDG4v65UUuWyStYKKKK9g4wrzD9p7Qhquh6NqjaOtwNM1J547nBLWztC8W4Y4AKSOpJ9R616fRXDmWD/tDAzw/Ny8ytfexvhq31evGpa9jiP2ePBLeAfhdbaPIJw91qF9qEiXIAZGurqW4K4wMAGTAB5xjOTXb0UVvhaCwuGhRTuopL7lYirUdWrKb6tsKKKK3MwooooAKKKKAPjL/gvf4v8Ajn4M/wCCbfivUPgZNqMMlzf2tp4qutLi3SwaNIXW5JI+ZEJ8tHZeiO2cKWI/IT/gi38Y/Hvw+/aYufB1n8ddS8FeD9Y0iefxRLa67DYQyvDG/wBmLPNldwkkAG35iGI6Zx/SBrGkaV4g0m60HXtNgvbG+tnt72zuohJFPE6lXjdWyGVlJBB4IJFcD+z1+yP+zZ+yjoOoeGf2ePg9pHhWy1W7W61KLT4mJuJVUIpd5GZiAOgzgZYgAsc/K5vw/isyzGGJp13BJW0vdelmt766r5n7Pwr4oZXw/wCGuYcNVsCqlTESbjPTl95RV5315qfLena+ttrXfzL4E8dfD3xl4vh/sf8AaIPjvW4rSSOxt7rxbbajPbws8bSiKOHBAZo4dxwfuJ07/XHwT8Ep8OPhJ4e8DRyTMNM0qKHNwRv4HOcADPPpXSpbW8Tbo4EU+qqBT66cnyKeWYmpXqVnUlJJXa7ed3c/KcZj44qnGEYKKXb/AIZBRRRX0J5x5l8Uf2NP2WvjV8V9C+OXxW+B+g674t8NeV/YmuX9sWmtvKkMsY4IDhJCWUOGAJOMZr0k2doTk2sf/fAqSiojSpwk5Rik3vpv69zqr47G4qlTpVqspRpq0U5NqK3tFN2ir62VhFVUG1VAA6AClooqzlCvlP8A4Kf+KvEfh24+ENlquu3elfD6++IQHju/hZY7ffHbyS6bFdSkjyrd71IQSSFZgik8gN9WVjfEP4e+CPix4H1X4a/EnwxZ61oOt2T2mq6XfxB4rmFxhlYfqCMEEAgggGuLMsJPHYGpQjLlcla/9dOj8j18ix+HyzNaeIrw54LmTWl7Si480b6c0b80b6cyR+cevfHXTdD/AG69V8F2H7Ud34U0WH4bQyeJ7ax8S2djDHqyXxW1RnkBYzG3e5LR5+VRGxA3Ln3b4P8AxmHiC6bw/wDDr9o668a3kdwtwYh4ng1GaLOEAIg5EZ9GGMk19E/Av9nH4Gfsz+A1+GXwH+GOl+GdCW8kujp+nQna88mN8jMxLOxCqMsScKo6AAdnHBBEcxQopPUqoFfJ0OEcdCjGDxkkl0V7L095fl8j182z7K6+KX1TD+5GKinJJSlbeUkrpNvopOysuZ2uyAzNAjXCgSFB5gXoDjnFPoor7hKyPkQr8nr340alon/BPXxz8Q/in8Vb7S/igLrVJvEtxfTQx6lY+LkuXa3tVgbIQpJBbpDEFx9niRlBUbj+sNeZat+xn+y1rv7QVt+1VrHwP0G4+IVmiLb+KZLYm4UrEYlYjO1nWM7Q5UsAFAI2jHz/ABBk1fOIUlTqcnK7/wDB9VbT1eqPr+Fs7yjKo1YY+i5pyhNcqi23T5/3b5rWhU5/eau1yxfJLY+QtF+Mfw88R+CNPsPib+25NqTXelW41/R9R+I1g1vcSNEpmhkRMZQtuBUEccZr6o/Zf8Gm213XviS7TZ1WwsrGPcB5bpBJcyb14ycm5IJyR8o9DXr32Kz/AOfSL/v2KkAA4ArnwHDdbCZhDFVsTKo4p2TXdW3cmePi80hiKU6cKSgpO+m299rBRRRX1J5AUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQ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"info": {"equation": "31-3=28", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "8c2e62b1649b461e3e89b40aa3a95cdcc1871d33e3c2f990ddee4a7188e6bcde"} +{"episode": 43568, "episode_seed": 1909594843, "split": "train", "timestamp": "2025-10-28T03:46:54.719082", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 1909594843, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 0, 1, 1])", "action": "('move', [3, 0, 1, 1])", "reward": 0.0, "image": 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", 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IfkXPyLGBj5QDX9Q1fEHi34B/Bmb9vW/+P8/w301/Gi/FHSbJPEUiM1wsH2CxTYMnaPlJXIXOCRnBNcPFuGnXp4blm4/vFHT+919VbT1PuPCbjzAcEPM1icIq/t6Dir20av7sr/8ALufN79rv3Y6M5jxEf2bPjtrGmeGviR+0HZfEuO0vmuNH8NeJvGlnqVsbkRuomFquFmkWNpMFlbaGYgA8j23/AIJS319P+zprej6XfXN14M0f4havp3wzuZ8NG2gxNGsSW8gJ862jn+1QwuScxRIASoBOl/wUU+Dnwu+NPw68HfD/AOKvgiy1vRbrx0kk+n3QYI7JpmoMhyhVhhgDwa6/9iDw/ofhP9mbQPC3hjSYLDTdNvNUtbCxtYwkdvDHqV0iRqB0AUAD6VzZRl9bA8SThUrOo1Tvd9btKz1ex8tic5o1eEfqq5ryqK0Xbkgopvmjrfnk20/dikr6ycvd9Yrw7/gpV4m+MXg39g34p+J/gE98niyy8JzyaZLpkW+5hXKiaSIdd6wmVgR8wKgjkCvcaCAwKsAQRyDX2dem61GVNO101dbq63+R8vleMjl2Z0MXKmqipzjJxltLlknyvydrPyZ/Nr/wRd+LvjXwD+1JdeHbf456l4L8L61otxL4ourbXobGOdoUY2xeSbKlhLJgY+Yh27Fq/ZX4C/F9vEuuw6D8O/2hrjxxcRX0c00T+J4NReFWwuH8jG2MhT94f3iDXuPwL/ZM/Zt/Zm/tv/hQnwb0Twt/wkd8LvW/7Lttv2qUbtpOScKu99qDCruOAMmvQY4IIjmKFFJ67VAr4vCcJY6jTjF4uSSd+WN7b301X5bn6X4meImW8ccUTzPC4P2cXCMfetzOy+KVk1fXlWr92MfRPooor7k/JgrM8aT6/a+DtWuvCkPmapHpk7abHtB33AjYxjB4OWxweK06KTV1YqEuSala9uj2Z/NX/wAExfHP7S9//wAFd/AnikS6xd+N9V+IUieN2u7XfctbyyOuqmdXHybYTOW4GzbxgqBX9KlfEfwW+Anwa8MftzRfHHQPhzp1t4u1z4l+J7fVfECIxuLiIR6qNpJJCj93HnaBnaM5r7cr5ThGg6GErRcm7VJLXytr8+p+s+L/ABzguO85wmKw2F9gqdCEWtLt3btp9mN7Q621sr2RX4Lf8HN3in4y337bmieE/F81+ng6w8IwT+DYHj22rSSMftcqEcPJ5iIrE/MAkY4GM/vTXkX7Wnwh/Yq+K+neGov2zdD8FXdtY61nwsfGV/FbL9tcD91CZHTzGcKMxchtoypwMenn2XzzPLnQjPld07vbTo/63sed4TcY4bgbjKnmdfDOvHlnHlik5rmXxQv10s9vdcj4G/ZL+NunfFr9i7wpZftO/tq6m+oa34ce38S6JqXxFtLYTWrPJGsMyArIoe32BssHIY5IJNe5fsI+E/Afw0/br1/wb+zn4f07TPCt78Kre78daf4ds4VsINSS7iTSXYx/6ueW0e+O0Y3xxpIQSQzfVf7Rul6bL+zt48tZNPhMbeCtURk8sYK/ZJRj6YrxD/gnH8C/g/8AADxP428JfBf4faf4c0660bQ7u5tdPVsSztJqSmRmcszHaqjk8AcV8zSyjEZfxBhY1MRKpdSet9LLbVvRkVeKMNi8BmdaNN01Xk7Uo29kueV7vVa09ORKO6T5ly2f1RRRRX35+cHj+qfBv9iS8/a9svinq/h7wQ3xqTR82M819CNZNmI3i81bcvuZRH5iebsJCgruwMD1xbW1RgyW0YI6EIK/mL/aR+Mf7VOg/wDBULxT8TvEHi/WtG+JOnfEWeC1v3kW3nskWUwQRpu+RIhblEUH5DGecqST+zngn46eEz4mjsNB/bOuvEN3eBre30m48e2d15zN/cjjAcvxxtOetfCw4ywdCVWMqDT5ntbXzltZ99z9o8RfDTMOFqGWTq49YhVqKau2+S1nyw1f7v3vcel/e0R9uUVi/Dy51u88E6bdeIg/2x7cGYyDDHk4LA9CRgn3rar7WhVVehGolbmSdnurq+p+NVIezm49nY8l/by8QfFzwr+xl8TfEnwHF5/wl9l4MvptBbTofMuEnERO6Je7qNxXAJyBgE4FfgB/wR3+L3j3wJ+2BHp1p8b9T8H6Br+mXZ8Y6hBrsVktwkUMkkBklnypb7QUwfvfOwHDNX9LNfEP/BN/9n/4K/CP4r6d4i+G3w10zR7/AMTfDq6u9fu7aNjJezfaNNbc5cnHzSOcDAyx4r5DiTBVcVmuEjCq4OXMrrpZXutVvsz9f4F4+wHDfAmc5PWwaqzxKjyydrK65fevr7nxwte077bkfg+XwF8aLrVfCvh346SeOdV1bTPsFzcHxPb6jdWtq+9QFEQwiBpGbJXGTye1fcEEQhgSEHIRAvPsKSO3giO6KFFPqqgU+vYybJp5VKrKdV1JTtdtdr+bvufleNxqxailDlUb7ef3BX51f8HMPif4xaB+wfpmnfD2a/i8Par4xt7bxvLZR5U2nlu8KTMOVja4WL2LBFPUA/orXMfGjwr8JvG3wn8QeFvjvYaRc+DrzS5V8SR69KsdmLQLudpXcgRqoG7fkbdoYEEZruzLCyxuAqUIy5XJNX/rp38j2uCs8pcNcWYLNKtH20aNSMnDq/T+8t4/3kj8SP8Aghn8Zta8O/C3xt4N8ZftOX/grw5Z6xaz6DYQ+KbTTkluZY5PtTgSgs52x22T90duSa+rL/wx8GfB3xE+HfxY/Zp1my1T4k658XbGKPxPpGoxajqevx3FzGNajupgzGeBbDzpJFPyQCKNlEfGfvf9nP4ffs7/AA/+DejeGP2YdI8Ow+B4UlfRB4auI7izcNK7SOkqMwkzIXy24nOeeK+W/AHwD+DOift4R/HrSfhxpsHjLUfilq1pe+IVRjcSQCyvV2cttUbY0BKgEheTyc/BYjIcTl7wnPiXJOpBJK9o36x1+7RH6Dm3HmDznjLMs2hQlQjNSfs0l79ko8tZXSSlrKppPVuKWvMvt+iiiv0s/Fj+f/8A4OUPFnxovP8AgoRH4e8aXGoReGdI8MWUngON0KQCORFa6miI4Zzcq6s33v3SDoq19h/ss/tBWvxB/Za8Hah+0P8AttX82tav4bjPifRtW+IFjGkwfcDDNFwwDRFQykhsMckHNffXxz/ZP/Zw/aYv9A1P49fB7RfFNx4XvDdaDLqtuXNpKShbGCNysY0yjZVtoyDiu/NnaE5NrGT/ALgr4yvwvjK2PrV44pwU3fS9/R6rRbLfQ/YeI/EzLM64FynIqeBUamDTUp6Welvd0b9/46l7e+lvueU/su+ERYnXPHu6UjWltII92PLZIBKQ6cc5M5GckfKMdDXrVAAAwBRX0uW4JZdgYYZSvyrfa+tz8lxNd4mvKo1a4V+T3jj42+J/Dv7Gmp+NfE3xdv8ARvitL8SzHqtxc3VvDqFr4h/tpUe08uTKxRx26qqjGFtUSQHb85/WGvO0/ZM/Zuj/AGgZP2qU+DeiD4hy2X2WTxX9m/0povKEXXO3d5YEe/G7Z8uccV52fZPWzeNJU6nJySv/AMFea6er1PpuF87yrKI1VjaPtE3CcbKLvKnzfu5X2p1Ob32rv3V7r6fLehfEn4Y+K/Fdjp8f7V7+MruO5d9I0jUPHFpe/vjG6eZHFHhmkEbyL3wrtx3H1z8CPBzeA/hXpnh1/ODb7m6dZwA6tcXElwVIAGMGUgDqAOea6tbW1RgyW0YI6EIKkqMpyKpluLliKtd1JSXLqul77ts8PF4+OJoqnGCik76f8Mgooor6I84KKKKACiiigAooooA8J8FfDdpv2h11U6VJZro2uahqrLCpEbyXEVzGWYsDkObl34IyenAIr3aiivNyvLlltGcFLm5pOV35nTisS8TNStayS+4K/Bb/AIObvFPxlvv23NE8J+L5r9PB1h4Rgn8GwPHttWkkY/a5UI4eTzERWJ+YBIxwMZ/emvPvj7+yn+zp+1LaaPY/tCfCHR/FkWgXxu9HTVoC32aUgBiuCMqwVdynKttXIOBWOe5bVzXL3h6c+V3T8nbo/wCt0j77wr42wPAHF9PNsXQ9tBRnGytzR5l8Ub6X6PVe65H55/saftAr4/8A2QfBl1+0R+21qX9s6loLR67o+qfECyhEkBkkRIpYj84DW4jDBjuIYknJNfdv7K3haGCfW/iDbO7Q6vZ2NrbMpBieKA3Dq6ED5gftJGckHAx0OfW1sbFFCJZxAAYAEYwBUoAAwBgDsK87L+HK2Dx0MTVxMqnImkmu6t1k/wCrHzWdZ7SzbFYirTw8aSqzlPljtG8nLlWi0Wy8gooor6k+dPO7/wDZM/Zu1P8AaAt/2qNQ+DmizfEK1s/stv4qe3JuUi8tovXaW8tmTeRu2nbnAAr0BbW1RgyW0YI6EIKkoqIU6dO/Kkru7t1fd+Z04jGYvFqCr1JT5IqMeZt8sVtFX2iruyWiCiiirOY8o/bp174peF/2O/iT4h+Cr36eKLPwjeS6RLpUHm3UTiM7pIUwd0qpuZQATuAwCcCvh3x98ZvAngv4nfA/w98Lf2kX8OaTfaLqS3t7pfiK0h8/QVsEMMss8u7bm7htVUg5dhKOdrY/TmvOvgp+yR+zV+zlrHiHxB8Dvgzofhm88V3guvEE+mW203kgZ2XOSQqhpHIRcKNxwBXzWdZHic0xdKrSrOHImut1fqrNa9HqtD7DJM9yrL8pq0MTQ56nvuGkbSc4KHvt6pU7c8LKXvXXu35l4R8EPjGPEGtjQPh1+0fc+N7xbmOdrd/FNvqMkS/c5EGCsZzzkY719eDOOaZHbwRHdFCin1VQKfXZlGVVssU/aV5VXK2/S3zf9JHzmMxUMU48sFG3b/hkFfnV/wAHMPij4xeH/wBhDTNO+Hs1/F4e1Xxhb23jeWyj+U2nlu8MczDlY2uFi9iwRT1AP6K1h/En4beA/jD4D1X4YfE/wtaa3oGt2bWuq6VfR7oriJuqkdRzggjBBAIIIBrszHCyx2BqUIy5XJWv/XTv5HtcGZ9Q4X4qwebVqXtYUZqTjpql2vpzLeP95I/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": "38-13=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": "38-13=25", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "20a8c1fc5237bc67cb70311512339003898f71c22f8cab044e0b51f7f05c1b6c"} +{"episode": 43569, "episode_seed": 2189146570, "split": "train", "timestamp": "2025-10-28T03:46:54.793564", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 2189146570, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [8, 0, 2, 7])", "action": "('move', [8, 0, 2, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "22+89=111", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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21va2miRwWtvDCFSKNCVRFA6AKAAPQV8TjcpxGP4irRp15U7wi9L7bW3Wml/mfreK48wFXwswHD/1Ne0oVpydTTVPmato3zPntK/SEd/sxfsweFxpWgav4oDSf8TzUI5l3Y2FY4I4gyccg7evPtXp9AAAwBRX1+X4NYDBU8OnflVr9z8oxFZ4ivKpa1z46/4LzeJPix4Y/wCCZPjy7+Est7FJcPZ2viCbT48yJpUs6pc5I5VGUhHI/gds8EmvzK/4IleNviFqvgH4r+BtY8S3c3hnRfB15caJp8s4MVlczgfaXjHVN4igJ/hymeu7P72eKPDHh7xr4a1Dwd4t0e31HStWspbPUrC7jDxXMEqFJI3U9VZWII9DXyd+0D8CvhD+zj4S074UfA7wDYeG/D1l4C8SS22l6chCK8ktq7uSxLMxY9SSeg6ACvkeLcrq1E8cqloxik49/eX4a39Uvl+r8N8d4HB+HeI4VlhU6tasqiq6aJKLfnzLk5VbTlnLVWtL1T9kLx3qXjvSRqdl46fxLo50uJYtY/tBbpJpUwmRKnyMx2tux3HIzmva6r6SiR6XbrGgUeQnAGOwqxX1WV4KeX4NUZ1HN3bu99Xfu/zPyrFV44is5qPKuyOZ+NN9430v4OeLNT+Gds83iS38M38vh+GOESM98tu5gUK3DEyBBg8HpX86/wDwSQ+LfxC8Oft0XWp+JPjVqnhSPxBpupHxvrcmsxWU07YaYCWa4BwzXQjJH3iSe2a/pOr46/Ye+Bvwh+Hf7TOueOvBPw807TdZ8Wab4huvEmowxsZb+YaxbkM5YnHLscLgZbpXgcS4Kpi8dhIwqODbkrrppe61Wulj9P4E44wPDXCOdZZWwqqyxUIqMnbSza96/Rc3NG200u914L8cNG+CGr6JcfHX4beOLPxp8V7TxPof/CJeKv7ZttX1casl0iWNlEwJCxuDMGgUBWRppGBKl1/T+vjn48/A74Q69+3dp3xr1n4fadc+K9C1jwra6PrkqMZrSF7wblQZ2jPmPzjPzHBr7Gq+GMLPCVcVCU3NqdrvrZb9dXfX0PleIs1p47LsFRi5NwjJty6c3KlTjq/cgoXj8OspWit2V/OB+3b8UP2idH/4LT+J/F/iDxPqmkeJtH+JyWnh2+lKQPY6Wsojs2iL/IkZtHRwx4IkLnlia/o/ryrX/hL+x7qH7V+j/E/xJoPg5/jHbaA8eiz3N5ENXOn/AL1GeOAvudAGmTzNhwCy7sDFd+fZXUzWhThCpycsk7/5ea6H0nhbxxhOB8bjq1fB/WFWw86aVk7N2fvX/wCXbtaflZ62sfIHj7S/2Rvjw0kfxr+OOk/Em10nS75obXxV40tNQi022eMC5uY40KiNhGozORujAJVlySfrT/gn/qnjnWf2K/hnqXxHa9bVpPCVr5kmpWohuJIQuLeSVAAFdoBEzDA5JyAeK88/4KP/AAL+D/xvk8F+Hvi38PNO1+xsV1W+tLS+jbYlwkUAV8KRuwGYYOQc8g1778Ff+SOeEuB/yLNh0H/TvHXlZDgauCzrEwqVXNqMNX1vr3e1rLU+ezPN6WI4YoYVczfO5WduWmo8ytT1fxuXNPSKvGPxbrpq8r/aj+FH7H/xRsvC8X7XOieD7uCx8RxP4T/4S29igU6kwOyOEyOvmu4H+q+YPtGVOBj1Svw2/wCDozxR8XR+1Z4B8M6ndX8Xg218GfbPDihSsDai1zKt26sPvSKiWgPdQVxjdz7eeY+GXZdKtKHOrpWe2r6/1vY9Xwr4UxHGfGdHLqOKeGk4zl7SN+ZcsXpGzV29nqvd5n0sfuL9ktQ24W0ec9dgqSvze/Y7/aWvtc+Cfw+8S/E79tfULvxdqHh+0bVtG1Hx3ZHzbqWPb5bwAB9x3D5c7t2O9ff/AMJ7vXL3wDp9z4haRrlkb55s72TcdpbPOduPrXLlXEWGzfEujSpyVle7t3Sto33PlM3yWtk9epSqTjLkm4Xi7p2bV15O2h0VFFFfQninj3/BQTxB8VvCn7EfxS8SfA97xPFdl4KvpdGk06PfcRyCI5eIdd6puZccggEZOK/J3/g1m1v4np+078SND0xLp/CNz4LiuNekEAaJdQS7QWe5zyrmOS9wP4gGJ+7X7fX7FbGZlPIiYj8jXyP/AMEwPgl8Jfgnf6zafCfwDYaDHrfg7Q9Q1YWKtm6uma6BkcsSSfboMnAGTXzGaUJS4hwU+Zr49PRX/G9n5H6nwxxrg8n8OM4yKphlOeJdNxnppZr4uvu25oW2k29Ov17RRRX05+WBX87f7HHjr9qXU/8AgvFpHiPX01aXxzefFa7tfFsVxaAyx2G+SK8RkPCRR2gcDHCIi7egr+iSvjzwl8E/hLpv/BRe4+O9j4B0+PxjqPja8sL3xCEY3EtsuguBHydoGEQZABO0ZNfMcR0HVrYOSk1+9itPPr8rfifqfhvxrg+E8BnFCvhlVeKw8oRbt7r1Vnf7D5ryS1bjHTqvsOiiivpz8sCv5+/+DiDxd8dH/wCCn4sNRm1RLLRdF0l/hxGsB2hGjSR5IAB+8Y3omUtgktGF6Kor+gSvjj/gop8E/hN8T/i7pfjH4g+ArDV9T8KeDXu/Dl5eKzNYTm6J8xACFJyiH5gcFQRXzPFtF1cnbUrWlF+utv1v8j9Q8I+McHwRxY8wxOH9tGVKpC2l02k01fTXl5X/AHZS32f1R8KrzxfqHwv8N6h8Qbdodfn0Czk1yJ4whS8aBDMpUcKRIWGBwK36KK+liuWKR+Z1ZqrVlNJK7bstlfovJH55ftj/ABPn8MeP/wBpa/8AiT8QbvRrzRvDdkPCHnvFG1tph0oNaz2aPxKX1OS8Tdg7pUWPnAWug+Cnx5s7620OG4/bFvNe8QahpMMd1ok/jmzuTJdNErSqkMQDFwwbAU8YNfWPxJ/Zh/Z/+MHxH8LfF74nfCfSNa8S+CpzN4W1i9gLTafIWV9yEHBwyqy7gdrDIwea7hbW1Rt6W0YI6EIK+MrcLY2ti61WOKcFOTdlfZ9Hqttl5H2GP4iymtgMPTo4f95GMVNtRSTjCMEotXbUuVzk2k+aVrO3NKl4Qm1a48K6dPrqFbx7OM3AYYO7aM5HY+vvWjRRX2NKDp04wbvZJXfXzPjZS5pN2tc+V/22PFGs6X+1N8LNG8Q65PY+FpfD+vXNksjrHaXOuJ9lWNJHJGZFs5L5kTuPNYA7CV+ef2X/ANpDw3N4Kl1fV/23r20t7TxjrCaDp1x43sLaE6ZFqMy2i+TjPlGJVAycsmDnnNffnx1/Z8+C/wC014Bk+F3x6+Hen+J9AkuorltN1JGKCaMkpIpUhlYZIyCOGI6Eg9Jo3hrw94d0e08P6DolrZ2NhbR21laW8CpHBCihUjVQMKqqAAB0Ar5XHcOYvF5nUxNPEumpJbXvorW3WnX1Z9d/b+VLh+jhfq960dG2o8tk5yTT1blLnSkmlZQWsua0OY+Auq69rHgb7brlzLOGun+yTzMWaSLAOcnqM5wa7WgAAYAor6PA4aWDwkKMpOTirXfU+Ur1FWrSmla/QK8a/aq8Cv42utN04aW7G+0670xbyBSZEW42B0HUD7isMj+E9ga9lorHNMAszwUsO5cqdtfRp/oXhcQ8LXVRK9r/AJDLaEW9vHbqSQiBQT7DFPoor0DnOX+N1/450r4L+L9U+GFs83iW28L6hL4dhihEjSXy20hgUK3DEyBBg8HpX5vWfxv8LeG7n4A2PhT9pm+0CLV/DV+/iDU18QWttc3Vn9hRpJbqWbJjlOoxwqw4Jl85SPkYL+pNcD8LP2W/2efgl4y8U/EL4UfCPRtC1rxtffbPFOo2NtiTUZ98j73ySB88sjYXAJcnGa+dzvJcRmtejOnWdPkvte+vVarXpvsfV5FneWZdluIo4mjzzldw0jZtxlC029Uo83PCyfvKzSvzR+ffgJH4N+LPjW0bwt8XZPGk9vrtje6pqy6/BqM8YtpVmijkeL5UT92QAQCdzYOTx9gU2OGGHPlRKueu1cU6urJsqllVKcZVXUcndt+iXd/meBjMWsXOLUeVJWsFfzi/tx/F39pXwz/wWq8U+NNT8ZaxoXijSfiSLDw/qHmrbSWekGQQ2vllvkSJrORTuPyssrM33mr+jquD1b9mD9n7Xfjvp/7TusfCbR7jx9pemmwsPFElvm5htyJFKA5xnbLIu4jcFYjOOKzz3Ka2bUacKdTkcZJ3/rquh+heGPHmA4DxmNrYrCquq9CdJLTRuzSd/sStaaWtraO1j5Y8LeMfh78QfFI0fRv2lJfHWqPazQ6fYXHjC21GWFHwJGiihAbJAXJweAK+0PBegp4V8HaT4Xjd2XTdMgtVaQgsRHGqZOOM8dq0EtreNt0duin1VAKfU5PktTK6tSpUrOpKdtX5X83fc+AxmNjioRjGCio328/kgrhPjj+zH8Af2lrfRbT48/CnSPFMfh3VF1HRU1WAuLW5AxvXBGQRjKnKtgZBwK7uivbnCFSLjNJrs9TnwuKxWCrqvh6jhNbSi3Frpo1ZrTQj+yWobcLaPOeuwVJRRVmAUUUUARXqyPZypDGruYmCIx4Y44B9q8g/Za8AJ4c1PV9cjsJrRF0+00qG1ZSEjS3aZgoyM5Hm7Tz2HevZKK8/EYBYjH0cS5W9nzad+ZW/A6KeIdPDzpW+K2vo7hRRRXoHOFeL6X8PzdftOnWzpklsLDU5tUZoVOyZns3tQzE5zlZO2OU9iK9oorz8dgFjp0ZOVvZzU/W19DooYh0FNJX5k194UUUV6BzhXi37THw8Hjnxdp2mDTJAdV046e17bqfM2GQllycqNoO4ZHck8CvaaK8/M8AsywjoOXKrp39GmdGFxDw1X2iV9/xQUUUV6BzhRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAV4/+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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", 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", "info": {"equation": "22+89=111", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "21f173fd1054fe79fda2e50014a3646818f4795a8e6fd4c5fd6d919d980cee69"} +{"episode": 43570, "episode_seed": 2694889752, "split": "train", "timestamp": "2025-10-28T03:46:54.871957", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 2694889752, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [7, 1, 0, 0])", "action": "('move', [7, 1, 0, 0])", "reward": 0.0, "image": 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", 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GU+xBIq8fTdbBVaadrxav20J4czOnk3EGEx86aqRo1ITcXtJRknb52PzI/wCDVLWPiZL4D+Lmg30Vz/whsGr6bPpkjQAQ/wBpvFKtyFfGS3kpaFlzwNh43c/rfXzp/wAE7/hB8Mfgb4d8ZfD34Q+CbLw/osOv288enWCtsEklnCXcliWYk45JPAA6ACvouvN4ag4ZHQV76X+9t/gfQeJfEWG4s44xma0KXsoVJK0dL+7GMbu2nNK3NK19W9XufHX/AAXm8SfFjwx/wTJ8eXfwllvYpLh7O18QTafHmRNKlnVLnJHKoykI5H8Dtngk1+ZX/BErxt8QtV8A/FfwNrHiW7m8M6L4OvLjRNPlnBisrmcD7S8Y6pvEUBP8OUz13Z/ezxR4Y8PeNfDWoeDvFuj2+o6Vq1lLZ6lYXcYeK5glQpJG6nqrKxBHoa+Tv2gfgV8If2cfCWnfCj4HeAbDw34esvAXiSW20vTkIRXkltXdyWJZmLHqST0HQAV4XFuV1aieOVS0YxSce/vL8Nb+qXy+j4b47wOD8O8RwrLCp1a1ZVFV00SUW/PmXJyq2nLOWqtaXqn7IXjvUvHekjU7Lx0/iXRzpcSxax/aC3STSphMiVPkZjtbdjuORnNe11X0lEj0u3WNAo8hOAMdhVivqsrwU8vwaozqObu3d76u/d/mflWKrxxFZzUeVdkcz8ab7xvpfwc8Wan8M7Z5vElv4Zv5fD8McIkZ75bdzAoVuGJkCDB4PSv51/8Agkh8W/iF4c/boutT8SfGrVPCkfiDTdSPjfW5NZispp2w0wEs1wDhmuhGSPvEk9s1/SdXx1+w98DfhD8O/wBpnXPHXgn4eadpus+LNN8Q3XiTUYY2Mt/MNYtyGcsTjl2OFwMt0rwOJcFUxeOwkYVHBtyV100vdarXSx+n8CccYHhrhHOssrYVVZYqEVGTtpZte9foubmjbaaXe68F+OGjfBDV9EuPjr8NvHFn40+K9p4n0P8A4RLxV/bNtq+rjVkukSxsomBIWNwZg0CgKyNNIwJUuv6f18c/Hn4HfCHXv27tO+Nes/D7TrnxXoWseFbXR9clRjNaQveDcqDO0Z8x+cZ+Y4NfY1XwxhZ4SrioSm5tTtd9bLfrq76+h8rxFmtPHZdgqMXJuEZNuXTm5UqcdX7kFC8fh1lK0Vuyv5wP27fih+0To/8AwWn8T+L/ABB4n1TSPE2j/E5LTw7fSlIHsdLWUR2bRF/kSM2jo4Y8ESFzyxNf0f1werfswfs/a78d9P8A2ndY+E2j3Hj7S9NNhYeKJLfNzDbkSKUBzjO2WRdxG4KxGccV6Ge5TWzajThTqcjjJP8ArzXQ+h8MePcBwFjMbWxWFVdV6E6SWmjdmk7/AGJWtNLW1tHax8T+PtL/AGRvjw0kfxr+OOk/Em10nS75obXxV40tNQi022eMC5uY40KiNhGozORujAJVlySfrT/gn/qnjnWf2K/hnqXxHa9bVpPCVr5kmpWohuJIQuLeSVAAFdoBEzDA5JyAeK88/wCCj/wL+D/xvk8F+Hvi38PNO1+xsV1W+tLS+jbYlwkUAV8KRuwGYYOQc8g1778Ff+SOeEuB/wAizYdB/wBO8deTkOBq4LOsTCpVc2ow1fW+vd7WstTwczzeliOGKGFXM3zuVnblpqPMrU9X8blzT0irxj8W66avK/2o/hR+x/8AFGy8Lxftc6J4Pu4LHxHE/hP/AIS29igU6kwOyOEyOvmu4H+q+YPtGVOBj1Svw2/4OjPFHxdH7VngHwzqd1fxeDbXwZ9s8OKFKwNqLXMq3bqw+9IqJaA91BXGN3Pt55j4Zdl0q0oc6ulZ7avr/W9j1fCvhTEcZ8Z0cuo4p4aTjOXtI35lyxekbNXb2eq93mfSx+4v2S1DbhbR5z12CpK/N79jv9pa+1z4J/D7xL8Tv219Qu/F2oeH7RtW0bUfHdkfNupY9vlvAAH3HcPlzu3Y719//Ce71y98A6fc+IWka5ZG+ebO9k3HaWzznbj61y5VxFhs3xLo0qclZXu7d0raN9z5TN8lrZPXqUqk4y5JuF4u6dm1deTtodFRRRX0J4p49/wUE8QfFbwp+xH8UvEnwPe8TxXZeCr6XRpNOj33EcgiOXiHXeqbmXHIIBGTivyd/wCDWbW/ien7TvxI0PTEun8I3PguK416QQBol1BLtBZ7nPKuY5L3A/iAYn7tft9fsVsZmU8iJiPyNfI//BMD4JfCX4J3+s2nwn8A2Ggx634O0PUNWFirZurpmugZHLEkn26DJwBk18xmlCUuIcFPma+PT0V/xvZ+R+p8Mca4PJ/DjOMiqYZTniXTcZ6aWa+Lr7tuaFtpNvTr9e14f/wUr8R/Fjwl+wT8VvEnwPe9TxPZ+Drp9Ol02PdcRLgCaSMdQ6wmRgRyCuRyBXuFUfExYeG9QK9RYy4/74NfRV6bq0JQTtdNX7XW5+d5XjI5dmdDFygpqnOMnF7S5ZJ8r8naz8j+e3/ghh8Vdb8E/FPxt4a1H4+Xvgfwxe+H4rq8ktvEFtpy3V9HOqQAvMCWIjkuflX3J6Cvv7S/DHwW0v49/C74u/AjXLHxB8Q9Y+LttFdeKrLUINU1LVrWaPy9XS4nBJaGPTwWIGFhEcO0Lu+b2v8A4Ji/Av4PfBIa/ovwm+Hem6Fa6n4W8P3+oRWUbH7Rcv8AbQ0jFySTgAYzgdgKo+EPgh8ItK/4KK3Hx0074fadF4w1DxteWF54gVG8+S2XQXAj5O1RhEGQATtGTX5dgssrrCYLEOvLllUilHpH3nqtfLt1P2fi3xAy/iDjXH5pRoypQlStyq16loRjarZpcr+18WiUba8y+xaKKK/Vj8JCv5+/+DiDxd8dH/4Kfiw1GbVEstF0XSX+HEawHaEaNJHkgAH7xjeiZS2CS0YXoqiv6BK+OP8Agop8E/hN8T/i7pfjH4g+ArDV9T8KeDXu/Dl5eKzNYTm6J8xACFJyiH5gcFQRXzPFtF1cnbUrWlF+utv1v8j9Q8I+McHwRxY8wxOH9tGVKpC2l02k01fTXl5X/dlLfZ/VHwqvPF+ofC/w3qHxBt2h1+fQLOTXInjCFLxoEMylRwpEhYYHArfoor6WK5YpH5nVmqtWU0krtuy2V+i8kFefftI6QNT8EWlwdMFwbHVY7hX2kmA7JE3jHs5XnjDGvQaK5cfhPr2CqYfm5eZNX7FYer7CtGpa9nc5f4LeEj4H+FujeGWMu6C2LsJ8bw0jtIQcAYwXIx7V1FFFbUKSoUY019lJfcrGc5Oc3LuFYvxI0sa58Ptc0R9OW8W80m4gktXBxMrxsrJxzyCRxW1RTqw9rSlC9rpr7whLkkpdjzH9mPwm2iaHrHiKQTK2s6ikm2UYGIoUiBXjODt9+a9Ooorny/BrAYKnh078qtfuaYis8RXlUta4V41+1V4Ffxtdabpw0t2N9p13pi3kCkyItxsDoOoH3FYZH8J7A17LRWeaYBZngpYdy5U7a+jT/QrC4h4WuqiV7X/IZbQi3t47dSSEQKCfYYp9FFegc5y/xuv/ABzpXwX8X6p8MLZ5vEtt4X1CXw7DFCJGkvltpDAoVuGJkCDB4PSvzes/jf4W8N3PwBsfCn7TN9oEWr+Gr9/EGpr4gtba5urP7CjSS3Us2THKdRjhVhwTL5ykfIwX9Sa4H4Wfst/s8/BLxl4p+IXwo+EejaFrXja++2eKdRsbbEmoz75H3vkkD55ZGwuAS5OM187neS4jNa9GdOs6fJfa99eq1WvTfY+ryLO8sy7LcRRxNHnnK7hpGzbjKFpt6pR5ueFk/eVmlfmj8+/ASPwb8WfGto3hb4uyeNJ7fXbG91TVl1+DUZ4xbSrNFHI8Xyon7sgAgE7mwcnj7ApscMMOfKiVc9dq4p1dWTZVLKqU4yquo5O7b9Eu7/M8DGYtYucWo8qStYKKKK9g4zyj9qPw2+uWmjzxaSZpEa4t47iNGZ4zMqLtGOPm2jqOqivRPBegp4V8HaT4Xjd2XTdMgtVaQgsRHGqZOOM8dq06K8+hgFQzCtiua7qKKt25Vb8ToqYhzw8KVvhv+IVwnxx/Zj+AP7S1votp8efhTpHimPw7qi6joqarAXFrcgY3rgjIIxlTlWwMg4Fd3RXbOEKkXGaTXZ6iwuKxWCrqvh6jhNbSi3Frpo1ZrTQj+yWobcLaPOeuwVJRRVmAUUUUARXqyPZypDGruYmCIx4Y44B9q8g/Za8AJ4c1PV9cjsJrRF0+00qG1ZSEjS3aZgoyM5Hm7Tz2HevZKK8/EYBYjH0cS5W9nzad+ZW/A6KeIdPDzpW+K2vo7hXjn/BQbXPHvhv9i74ia38NbzUbbVYPDzk3ejw+Zd21qXQXU0I/56JbGZ1IyQVBHIFex0kkccsbRSoGVgQysMgg9jXXXputQlTTtdNX7XW5rl2KhgMwo4mUFNU5xk4vaSi07PfR2s9GfmvrXxv8GeHf2oNJ8I+Ef2o38K+HZPhaLm/XSPFVna28pF3F/ZjebJuLloJbxlUHBTa/Qgn6F/ZWsPCnj/x1pfi3wj8QD4oh0nUbm9vddi1aK+NxctayW5E00eVLBJl+UYICr2Bz7P8AAj9l79nz9mPw9f8AhT4BfCXR/C2nanqT6hf2ul2+1ZrhlVS53En7qqAo+VQOAK7uOKOIbYo1UeijFfH4DhTE4adGVXEtqElLlSfLdO+l3+Nu572dZ3luIquGBpNQ5eVSkkpy7yko3V7uyXM7JJXdh1FFFfanygV4t+0x8PB458Xadpg0yQHVdOOnte26nzNhkJZcnKjaDuGR3JPAr2mivPzPALMsI6Dlyq6d/RpnRhcQ8NV9olff8UFFFFegc4UUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFeP8A7Zv7dX7OX7BHw+0/4k/tHeKL6xsdW1Q2GmWukaNcahd3MqwyTyskFujSFIoIZZpHxtRI2YkV7BXwP/wW48OfEvQPEXwb/aP8H/BbxX490jwevjXRtc0PwXokmpXyTa34Zu9Pspvs8eWMX2kpE79I1n3HgGgD7p8K+KPD3jjwvpvjXwjrEGo6TrFhDe6XqFq+6K5t5UEkcqHurIysD6Gr9eRf8E//AITeM/gN+wt8HPgn8RY9mv8AhP4YaFpOtxbw3lXdvYQxSx5HBCurLnvtr12gArmfjN8XvA3wC+FWv/Gf4l39xbaD4b02S+1Oa0sZbmURIMkRxRKzyOTgKqgkkgCumrkPj98QNK+FfwT8U/EPW9E1rUrXSdEuJ57Dw5o02o304CEbYLaBWkmc54RQSaAIv2dvj58Of2pPgd4X/aH+EV9dXPhnxfpEWpaJPe2b28rwSfdLxv8AMh46Hmu0r5F/4IU69qV7/wAEtfhR4N8QfD7xb4Y1jwf4fj0HXNJ8ZeF7rSbpLuBVZykVyiNJF+8G2UDaxDAHIOPrqgApJJEijaWRgFUEsT2FLSSOI42kYEhQSQBkmgDxL9kr/goV+zH+2v4j8W+DvgZ4i1h9W8FS239t6X4g8N3ml3H2e5Dm2vIo7qNGmtphHIY5lBVtpx2z7dXwF/wSH+LOoftPftQfHv8Aaw+K/wAIPiN4O8c+Kryx0vTNB8Y/D3UNItNI8K6dLcw6bbxXNzEkd3czNJcXc/lkhDcIg4TJ+/aACiiigDxG6/4KFfs0af8Atj2X7C2pazrtr471OKY6W114XvI9Lvp4bVbyW0hv2jFvLcJbssrRK5ZVPODxXt1fnt8Z9O8U/E3/AILo/B3xT8Lvg/8AFyO98A2+tWXxD1rxLpVx/wAIZHoU2kOYLvTZZC1uL2S7lhhLwbZisciSDaor9CaACiiigDyz9rD9sv4BfsVeE/DvjL9oDxVLplp4r8Y2HhfQUtrN7iW71K8crDEqICcfKzM3RVUk16nX5ff8HB/wS/bY+JPibwF8QPgX+y8vxN8KeE5dGazhtPEwtbrStck8T6XK9x9lWCWS4Vra0S3Mw2rbRXNzK25VZa/TvTpr240+CfUbNbe4eFWnt1l3iJyAWUNgbsHIzgZxQBNRRRQB5p+1h+1d8K/2NPhQPjF8XrbXrjTZNastJtbLwxoE+qX93eXcwhghhtrdWkld3YKAoJ5rqfhJ8S9H+Mnw00T4p+H9E1vTbLXdPS7trDxJo02nX8CMOEntp1WSBx3RwCK8K/4Kw+EPhD4y/ZQ+yfHHwd8XdY8P2PivTNRkPwPtbiXxDY3FvKZbe6hFt+/VUmWPLw/OpKnhQxGp/wAEpl/aTT/gnf8ACdf2vG1k/EL/AIRhf7ePiRs6lt86T7N9rPX7T9m8jzc8+ZvzzmgD6DooooArazrGleHtIu/EGu6hDaWNjbSXF5d3EgWOGJFLO7MeAoUEk9gK8u/ZB/bY+A/7cngS++JP7P8Af63c6RZX4t1udb8NXem/a0aNZIrq3FzGhntpUYNHMmUcZweCKu/trfDXxf8AGf8AY3+LPwf+HxH9veKvhprukaJl9oN3c6fPDCMnp87rzXx//wAG9Hhr9ofwj8FvG/h74m6b8WbHwXY3Hh608Fad8ZVnXVLW+i0O1j1uOBbj94lguoK6wKP3QVW8v5MUAfobRRRQAV8+fCP/AIKXfs8/GT9rLVP2LNE8NfEHSPHGmWOo33leKfh9qGmWd7a2VyltPcW1zcRrHcReZIgWSMlXDAgnIr6Dr5Q/Zz8D+M/iN/wVQ+Pn7TfjTwnqlhpPhPwv4f8Ahv8AD+61LT5YEvYFR9W1S5tzIoEsTXN3bw+YmVLWZGcqaAPq+iiigArwL41f8FMP2SP2fv2ofDP7IPxL8Z6nbeMfFD6elqtr4furixsnv55LewS7u40MVq1zNFJHEJGBdlIFe+1+UH/BSP4N/HHxV/wWa+H/AI38O/Anx1q80eofDtvAOs6BoUk3hmW1tNav5tffXZVHlebbWssctoZzujd90PzE0Afq/RRRQB//2Q==", 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41as5qK2ipSbt8rhXyV/wXH8R/Fjwv/wTJ+JGofCCW9jvJbW2t9Wm0+PdJHpctxHHeHjlUMLOHYdEZjwMkfWtcP8AtNWNpqf7N/xA03ULdZre48E6rFPE44dGtJQyn2IJFXj6brYKrTTteLV+2hPDmZ08m4gwmPnTVSNGpCbi9pKMk7fOx+ZH/BqlrHxMl8B/FzQb6K5/4Q2DV9Nn0yRoAIf7TeKVbkK+MlvJS0LLngbDxu5/W+vnT/gnf8IPhj8DfDvjL4e/CHwTZeH9Fh1+3nj06wVtgkks4S7ksSzEnHJJ4AHQAV9F15vDUHDI6CvfS/3tv8D6DxL4iw3FnHGMzWhS9lCpJWjpf3Yxjd205pW5pWvq3q9z46/4LzeJPix4Y/4Jk+PLv4Sy3sUlw9na+IJtPjzImlSzqlzkjlUZSEcj+B2zwSa/Mr/giV42+IWq+Afiv4G1jxLdzeGdF8HXlxomnyzgxWVzOB9peMdU3iKAn+HKZ67s/vZ4o8MeHvGvhrUPB3i3R7fUdK1ayls9SsLuMPFcwSoUkjdT1VlYgj0NfJ37QPwK+EP7OPhLTvhR8DvANh4b8PWXgLxJLbaXpyEIryS2ru5LEszFj1JJ6DoAK8Li3K6tRPHKpaMYpOPf3l+Gt/VL5fR8N8d4HB+HeI4VlhU6tasqiq6aJKLfnzLk5VbTlnLVWtL1T9kLx3qXjvSRqdl46fxLo50uJYtY/tBbpJpUwmRKnyMx2tux3HIzmva6r6SiR6XbrGgUeQnAGOwqxX1WV4KeX4NUZ1HN3bu99Xfu/wAz8qxVeOIrOajyrsjmfjTfeN9L+DnizU/hnbPN4kt/DN/L4fhjhEjPfLbuYFCtwxMgQYPB6V/Ov/wSQ+LfxC8Oft0XWp+JPjVqnhSPxBpupHxvrcmsxWU07YaYCWa4BwzXQjJH3iSe2a/pOr46/Ye+Bvwh+Hf7TOueOvBPw807TdZ8Wab4huvEmowxsZb+YaxbkM5YnHLscLgZbpXgcS4Kpi8dhIwqODbkrrppe61Wulj9P4E44wPDXCOdZZWwqqyxUIqMnbSza96/Rc3NG200u914L8cNG+CGr6JcfHX4beOLPxp8V7TxPof/AAiXir+2bbV9XGrJdIljZRMCQsbgzBoFAVkaaRgSpdf0/r45+PPwO+EOvft3ad8a9Z+H2nXPivQtY8K2uj65KjGa0he8G5UGdoz5j84z8xwa+xqvhjCzwlXFQlNzana762W/XV319D5XiLNaeOy7BUYuTcIybcunNypU46v3IKF4/DrKVordlfzgft2/FD9onR/+C0/ifxf4g8T6ppHibR/iclp4dvpSkD2OlrKI7Noi/wAiRm0dHDHgiQueWJr+j+uD1b9mD9n7Xfjvp/7TusfCbR7jx9pemmwsPFElvm5htyJFKA5xnbLIu4jcFYjOOK9DPcprZtRpwp1ORxkn/Xmuh9D4Y8e4DgLGY2tisKq6r0J0ktNG7NJ3+xK1ppa2to7WPifx9pf7I3x4aSP41/HHSfiTa6Tpd80Nr4q8aWmoRabbPGBc3McaFRGwjUZnI3RgEqy5JP1p/wAE/wDVPHOs/sV/DPUviO162rSeErXzJNStRDcSQhcW8kqAAK7QCJmGByTkA8V55/wUf+Bfwf8AjfJ4L8PfFv4eadr9jYrqt9aWl9G2xLhIoAr4UjdgMwwcg55Br334K/8AJHPCXA/5Fmw6D/p3jrychwNXBZ1iYVKrm1GGr6317va1lqeDmeb0sRwxQwq5m+dys7ctNR5lanq/jcuaekVeMfi3XTV5X+1H8KP2P/ijZeF4v2udE8H3cFj4jifwn/wlt7FAp1JgdkcJkdfNdwP9V8wfaMqcDHqlfht/wdGeKPi6P2rPAPhnU7q/i8G2vgz7Z4cUKVgbUWuZVu3Vh96RUS0B7qCuMbufbzzHwy7LpVpQ51dKz21fX+t7Hq+FfCmI4z4zo5dRxTw0nGcvaRvzLli9I2au3s9V7vM+lj9xfslqG3C2jznrsFSV+b37Hf7S19rnwT+H3iX4nftr6hd+LtQ8P2jato2o+O7I+bdSx7fLeAAPuO4fLndux3r7/wDhPd65e+AdPufELSNcsjfPNneybjtLZ5ztx9a5cq4iw2b4l0aVOSsr3du6VtG+58pm+S1snr1KVScZck3C8XdOzauvJ20Oiooor6E8U8e/4KCeIPit4U/Yj+KXiT4HveJ4rsvBV9Lo0mnR77iOQRHLxDrvVNzLjkEAjJxX5O/8Gs2t/E9P2nfiRoemJdP4RufBcVxr0ggDRLqCXaCz3OeVcxyXuB/EAxP3a/b6/YrYzMp5ETEfka+R/wDgmB8EvhL8E7/WbT4T+AbDQY9b8HaHqGrCxVs3V0zXQMjliST7dBk4Aya+YzShKXEOCnzNfHp6K/43s/I/U+GONcHk/hxnGRVMMpzxLpuM9NLNfF1923NC20m3p1+va8P/AOClfiP4seEv2Cfit4k+B73qeJ7PwddPp0umx7riJcATSRjqHWEyMCOQVyOQK9wqj4mLDw3qBXqLGXH/AHwa+ir03VoSgna6av2utz87yvGRy7M6GLlBTVOcZOL2lyyT5X5O1n5H89v/AAQw+Kut+Cfin428Naj8fL3wP4YvfD8V1eSW3iC205bq+jnVIAXmBLERyXPyr7k9BX6BaJofwh0H47/DT4r/ALP/AImtdc+IHiH4s21tqPifTtTh1LUdbspVA1aK7mViZLeKxQSFeFgMMBUISN3s/wDwTF+Bfwe+CQ1/RfhN8O9N0K11Pwt4fv8AUIrKNj9ouX+2hpGLkknAAxnA7AVR8IfBD4RaV/wUVuPjpp3w+06LxhqHja8sLzxAqN58lsuguBHydqjCIMgAnaMmvy7BZZXWEwWIdeXLKpFKPSPvPVa+Xbqfs/FviBl/EHGuYZpRoypQlStyq16loRjarZpcr+18WiUba8y+xaKKK/Vj8JCv5+/+DiDxd8dH/wCCn4sNRm1RLLRdF0l/hxGsB2hGjSR5IAB+8Y3omUtgktGF6Kor+gSvjj/gop8E/hN8T/i7pfjH4g+ArDV9T8KeDXu/Dl5eKzNYTm6J8xACFJyiH5gcFQRXzPFtF1cnbUrWlF+utv1v8j9Q8I+McHwRxY8wxOH9tGVKpC2l02k01fTXl5X/AHZS32f1R8KrzxfqHwv8N6h8Qbdodfn0Czk1yJ4whS8aBDMpUcKRIWGBwK36KK+liuWKR+Z1ZqrVlNJK7bstlfovJBXn37SOkDU/BFpcHTBcGx1WO4V9pJgOyRN4x7OV54wxr0GiuXH4T69gqmH5uXmTV+xWHq+wrRqWvZ3OX+C3hI+B/hbo3hljLugti7CfG8NI7SEHAGMFyMe1dRRRW1CkqFGNNfZSX3KxnOTnNy7hWL8SNLGufD7XNEfTlvFvNJuIJLVwcTK8bKycc8gkcVtUU6sPa0pQva6a+8IS5JKXY8x/Zj8Jtomh6x4ikEytrOopJtlGBiKFIgV4zg7ffmvTqKK58vwawGCp4dO/KrX7mmIrPEV5VLWuFeNftVeBX8bXWm6cNLdjfadd6Yt5ApMiLcbA6DqB9xWGR/CewNey0VnmmAWZ4KWHcuVO2vo0/wBCsLiHha6qJXtf8hltCLe3jt1JIRAoJ9hin0UV6BznL/G6/wDHOlfBfxfqnwwtnm8S23hfUJfDsMUIkaS+W2kMChW4YmQIMHg9K/N6z+N/hbw3c/AGx8KftM32gRav4av38QamviC1trm6s/sKNJLdSzZMcp1GOFWHBMvnKR8jBf1JrgfhZ+y3+zz8EvGXin4hfCj4R6NoWteNr77Z4p1GxtsSajPvkfe+SQPnlkbC4BLk4zXzud5LiM1r0Z06zp8l9r316rVa9N9j6vIs7yzLstxFHE0eecruGkbNuMoWm3qlHm54WT95WaV+aPz78BI/BvxZ8a2jeFvi7J40nt9dsb3VNWXX4NRnjFtKs0UcjxfKifuyACATubByePsCmxwww58qJVz12rinV1ZNlUsqpTjKq6jk7tv0S7v8zwMZi1i5xajypK1gooor2DjPKP2o/Db65aaPPFpJmkRri3juI0ZnjMyou0Y4+baOo6qK9E8F6CnhXwdpPheN3ZdN0yC1VpCCxEcapk44zx2rTorz6GAVDMK2K5ruooq3blVvxOipiHPDwpW+G/4hXCfHH9mP4A/tLW+i2nx5+FOkeKY/DuqLqOipqsBcWtyBjeuCMgjGVOVbAyDgV3dFds4QqRcZpNdnqLC4rFYKuq+HqOE1tKLcWumjVmtNCP7Jahtwto8567BUlFFWYBRRRQBFerI9nKkMau5iYIjHhjjgH2ryD9lrwAnhzU9X1yOwmtEXT7TSobVlISNLdpmCjIzkebtPPYd69korz8RgFiMfRxLlb2fNp35lb8Dop4h08POlb4ra+juFeOf8FBtc8e+G/wBi74ia38NbzUbbVYPDzk3ejw+Zd21qXQXU0I/56JbGZ1IyQVBHIFex0kkccsbRSoGVgQysMgg9jXXXputQlTTtdNX7XW5rl2KhgMwo4mUFNU5xk4vaSi07PfR2s9GfmvrXxv8ABnh39qDSfCPhH9qN/Cvh2T4Wi5v10jxVZ2tvKRdxf2Y3mybi5aCW8ZVBwU2v0IJ+hf2VrDwp4/8AHWl+LfCPxAPiiHSdRub2912LVor43Fy1rJbkTTR5UsEmX5RggKvYHPs/wI/Ze/Z8/Zj8PX/hT4BfCXR/C2nanqT6hf2ul2+1ZrhlVS53En7qqAo+VQOAK7uOKOIbYo1UeijFfH4DhTE4adGVXEtqElLlSfLdO+l3+Nu572dZ3luIquGBpNQ5eVSkkpy7yko3V7uyXM7JJXdh1FFFfanygV4t+0x8PB458Xadpg0yQHVdOOnte26nzNhkJZcnKjaDuGR3JPAr2mivPzPALMsI6Dlyq6d/RpnRhcQ8NV9olff8UFFFFegc4UUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFeP/tm/t1fs5fsEfD7T/iT+0d4ovrGx1bVDYaZa6Ro1xqF3cyrDJPKyQW6NIUighlmkfG1EjZiRXsFfA//AAW48OfEvQPEXwb/AGj/AAf8FvFfj3SPB6+NdG1zQ/BeiSalfJNrfhm70+ym+zx5YxfaSkTv0jWfceAaAPunwr4o8PeOPC+m+NfCOsQajpOsWEN7peoWr7orm3lQSRyoe6sjKwPoav15F/wT/wDhN4z+A37C3wc+CfxFj2a/4T+GGhaTrcW8N5V3b2EMUseRwQrqy577a9doAK5n4zfF7wN8AvhVr/xn+Jd/cW2g+G9NkvtTmtLGW5lESDJEcUSs8jk4CqoJJIArpq5D4/fEDSvhX8E/FPxD1vRNa1K10nRLieew8OaNNqN9OAhG2C2gVpJnOeEUEmgCL9nb4+fDn9qT4HeF/wBof4RX11c+GfF+kRalok97ZvbyvBJ90vG/zIeOh5rtK+Rf+CFOvale/wDBLX4UeDfEHw+8W+GNY8H+H49B1zSfGXhe60m6S7gVWcpFcojSRfvBtlA2sQwByDj66oAKSSRIo2lkYBVBLE9hS0kjiONpGBIUEkAZJoA8S/ZK/wCChX7Mf7a/iPxb4O+BniLWH1bwVLbf23pfiDw3eaXcfZ7kOba8ijuo0aa2mEchjmUFW2nHbPt1fAX/AASH+LOoftPftQfHv9rD4r/CD4jeDvHPiq8sdL0zQfGPw91DSLTSPCunS3MOm28VzcxJHd3MzSXF3P5ZIQ3CIOEyfv2gAooooA8Ruv8AgoV+zRp/7Y9l+wtqWs67a+O9TimOltdeF7yPS76eG1W8ltIb9oxby3CW7LK0SuWVTzg8V7dX57fGfTvFPxN/4Lo/B3xT8Lvg/wDFyO98A2+tWXxD1rxLpVx/whkehTaQ5gu9NlkLW4vZLuWGEvBtmKxyJINqiv0JoAKKKKAPLP2sP2y/gF+xV4T8O+Mv2gPFUumWnivxjYeF9BS2s3uJbvUrxysMSogJx8rMzdFVSTXqdfl9/wAHB/wS/bY+JPibwF8QPgX+y8vxN8KeE5dGazhtPEwtbrStck8T6XK9x9lWCWS4Vra0S3Mw2rbRXNzK25VZa/TvTpr240+CfUbNbe4eFWnt1l3iJyAWUNgbsHIzgZxQBNRRRQB5p+1h+1d8K/2NPhQPjF8XrbXrjTZNastJtbLwxoE+qX93eXcwhghhtrdWkld3YKAoJ5rqfhJ8S9H+Mnw00T4p+H9E1vTbLXdPS7trDxJo02nX8CMOEntp1WSBx3RwCK8K/wCCsPhD4Q+Mv2UPsnxx8HfF3WPD9j4r0zUZD8D7W4l8Q2NxbymW3uoRbfv1VJljy8PzqSp4UMRqf8Epl/aTT/gnf8J1/a8bWT8Qv+EYX+3j4kbOpbfOk+zfaz1+0/ZvI83PPmb885oA+g6KKKAK2s6xpXh7SLvxBruoQ2ljY20lxeXdxIFjhiRSzuzHgKFBJPYCvLv2Qf22PgP+3J4EvviT+z/f63c6RZX4t1udb8NXem/a0aNZIrq3FzGhntpUYNHMmUcZweCKu/trfDXxf8Z/2N/iz8H/AIfEf294q+Gmu6RomX2g3dzp88MIyenzuvNfH/8Awb0eGv2h/CPwW8b+HvibpvxZsfBdjceHrTwVp3xlWddUtb6LQ7WPW44FuP3iWC6grrAo/dBVby/kxQB+htFFFABXz58I/wDgpd+zz8ZP2stU/Ys0Tw18QdI8caZY6jfeV4p+H2oaZZ3trZXKW09xbXNxGsdxF5kiBZIyVcMCCcivoOvlD9nPwP4z+I3/AAVQ+Pn7TfjTwnqlhpPhPwv4f+G/w/utS0+WBL2BUfVtUubcyKBLE1zd28PmJlS1mRnKmgD6vooooAK8C+NX/BTD9kj9n79qHwz+yD8S/Gep23jHxQ+npara+H7q4sbJ7+eS3sEu7uNDFatczRSRxCRgXZSBXvtflB/wUj+Dfxx8Vf8ABZr4f+N/DvwJ8davNHqHw7bwDrOgaFJN4ZltbTWr+bX312VR5Xm21rLHLaGc7o3fdD8xNAH6v0UUUAf/2Q==", "info": {"equation": "77+84=161", "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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41as5qK2ipSbt8rhXyV/wXH8R/Fjwv/wTJ+JGofCCW9jvJbW2t9Wm0+PdJHpctxHHeHjlUMLOHYdEZjwMkfWtcP8AtNWNpqf7N/xA03ULdZre48E6rFPE44dGtJQyn2IJFXj6brYKrTTteLV+2hPDmZ08m4gwmPnTVSNGpCbi9pKMk7fOx+ZH/BqlrHxMl8B/FzQb6K5/4Q2DV9Nn0yRoAIf7TeKVbkK+MlvJS0LLngbDxu5/W+vnT/gnf8IPhj8DfDvjL4e/CHwTZeH9Fh1+3nj06wVtgkks4S7ksSzEnHJJ4AHQAV9F15vDUHDI6CvfS/3tv8D6DxL4iw3FnHGMzWhS9lCpJWjpf3Yxjd205pW5pWvq3q9z46/4LzeJPix4Y/4Jk+PLv4Sy3sUlw9na+IJtPjzImlSzqlzkjlUZSEcj+B2zwSa/Mr/giV42+IWq+Afiv4G1jxLdzeGdF8HXlxomnyzgxWVzOB9peMdU3iKAn+HKZ67s/vZ4o8MeHvGvhrUPB3i3R7fUdK1ayls9SsLuMPFcwSoUkjdT1VlYgj0NfJ37QPwK+EP7OPhLTvhR8DvANh4b8PWXgLxJLbaXpyEIryS2ru5LEszFj1JJ6DoAK8Li3K6tRPHKpaMYpOPf3l+Gt/VL5fR8N8d4HB+HeI4VlhU6tasqiq6aJKLfnzLk5VbTlnLVWtL1T9kLx3qXjvSRqdl46fxLo50uJYtY/tBbpJpUwmRKnyMx2tux3HIzmva6r6SiR6XbrGgUeQnAGOwqxX1WV4KeX4NUZ1HN3bu99Xfu/wAz8qxVeOIrOajyrsjmfjTfeN9L+DnizU/hnbPN4kt/DN/L4fhjhEjPfLbuYFCtwxMgQYPB6V/Ov/wSQ+LfxC8Oft0XWp+JPjVqnhSPxBpupHxvrcmsxWU07YaYCWa4BwzXQjJH3iSe2a/pOr46/Ye+Bvwh+Hf7TOueOvBPw807TdZ8Wab4huvEmowxsZb+YaxbkM5YnHLscLgZbpXgcS4Kpi8dhIwqODbkrrppe61Wulj9P4E44wPDXCOdZZWwqqyxUIqMnbSza96/Rc3NG200u914L8cNG+CGr6JcfHX4beOLPxp8V7TxPof/AAiXir+2bbV9XGrJdIljZRMCQsbgzBoFAVkaaRgSpdf0/r45+PPwO+EOvft3ad8a9Z+H2nXPivQtY8K2uj65KjGa0he8G5UGdoz5j84z8xwa+xqvhjCzwlXFQlNzana762W/XV319D5XiLNaeOy7BUYuTcIybcunNypU46v3IKF4/DrKVordlfzgft2/FD9onR/+C0/ifxf4g8T6ppHibR/iclp4dvpSkD2OlrKI7Noi/wAiRm0dHDHgiQueWJr+j+uD1b9mD9n7Xfjvp/7TusfCbR7jx9pemmwsPFElvm5htyJFKA5xnbLIu4jcFYjOOK9DPcprZtRpwp1ORxkn/Xmuh9D4Y8e4DgLGY2tisKq6r0J0ktNG7NJ3+xK1ppa2to7WPifx9pf7I3x4aSP41/HHSfiTa6Tpd80Nr4q8aWmoRabbPGBc3McaFRGwjUZnI3RgEqy5JP1p/wAE/wDVPHOs/sV/DPUviO162rSeErXzJNStRDcSQhcW8kqAAK7QCJmGByTkA8V55/wUf+Bfwf8AjfJ4L8PfFv4eadr9jYrqt9aWl9G2xLhIoAr4UjdgMwwcg55Br334K/8AJHPCXA/5Fmw6D/p3jrychwNXBZ1iYVKrm1GGr6317va1lqeDmeb0sRwxQwq5m+dys7ctNR5lanq/jcuaekVeMfi3XTV5X+1H8KP2P/ijZeF4v2udE8H3cFj4jifwn/wlt7FAp1JgdkcJkdfNdwP9V8wfaMqcDHqlfht/wdGeKPi6P2rPAPhnU7q/i8G2vgz7Z4cUKVgbUWuZVu3Vh96RUS0B7qCuMbufbzzHwy7LpVpQ51dKz21fX+t7Hq+FfCmI4z4zo5dRxTw0nGcvaRvzLli9I2au3s9V7vM+lj9xfslqG3C2jznrsFSV+b37Hf7S19rnwT+H3iX4nftr6hd+LtQ8P2jato2o+O7I+bdSx7fLeAAPuO4fLndux3r7/wDhPd65e+AdPufELSNcsjfPNneybjtLZ5ztx9a5cq4iw2b4l0aVOSsr3du6VtG+58pm+S1snr1KVScZck3C8XdOzauvJ20Oiooor6E8U8e/4KCeIPit4U/Yj+KXiT4HveJ4rsvBV9Lo0mnR77iOQRHLxDrvVNzLjkEAjJxX5O/8Gs2t/E9P2nfiRoemJdP4RufBcVxr0ggDRLqCXaCz3OeVcxyXuB/EAxP3a/b6/YrYzMp5ETEfka+R/wDgmB8EvhL8E7/WbT4T+AbDQY9b8HaHqGrCxVs3V0zXQMjliST7dBk4Aya+YzShKXEOCnzNfHp6K/43s/I/U+GONcHk/hxnGRVMMpzxLpuM9NLNfF1923NC20m3p1+va8P/AOClfiP4seEv2Cfit4k+B73qeJ7PwddPp0umx7riJcATSRjqHWEyMCOQVyOQK9wqj4mLDw3qBXqLGXH/AHwa+ir03VoSgna6av2utz87yvGRy7M6GLlBTVOcZOL2lyyT5X5O1n5H89v/AAQw+Kut+Cfin428Naj8fL3wP4YvfD8V1eSW3iC205bq+jnVIAXmBLERyXPyr7k9BX6BaJofwh0H47/DT4r/ALP/AImtdc+IHiH4s21tqPifTtTh1LUdbspVA1aK7mViZLeKxQSFeFgMMBUISN3s/wDwTF+Bfwe+CQ1/RfhN8O9N0K11Pwt4fv8AUIrKNj9ouX+2hpGLkknAAxnA7AVR8IfBD4RaV/wUVuPjpp3w+06LxhqHja8sLzxAqN58lsuguBHydqjCIMgAnaMmvy7BZZXWEwWIdeXLKpFKPSPvPVa+Xbqfs/FviBl/EHGuYZpRoypQlStyq16loRjarZpcr+18WiUba8y+xaKKK/Vj8JCv5+/+DiDxd8dH/wCCn4sNRm1RLLRdF0l/hxGsB2hGjSR5IAB+8Y3omUtgktGF6Kor+gSvjj/gop8E/hN8T/i7pfjH4g+ArDV9T8KeDXu/Dl5eKzNYTm6J8xACFJyiH5gcFQRXzPFtF1cnbUrWlF+utv1v8j9Q8I+McHwRxY8wxOH9tGVKpC2l02k01fTXl5X/AHZS32f1R8KrzxfqHwv8N6h8Qbdodfn0Czk1yJ4whS8aBDMpUcKRIWGBwK36KK+liuWKR+Z1ZqrVlNJK7bstlfovJBXn37SOkDU/BFpcHTBcGx1WO4V9pJgOyRN4x7OV54wxr0GiuXH4T69gqmH5uXmTV+xWHq+wrRqWvZ3OX+C3hI+B/hbo3hljLugti7CfG8NI7SEHAGMFyMe1dRRRW1CkqFGNNfZSX3KxnOTnNy7hWL8SNLGufD7XNEfTlvFvNJuIJLVwcTK8bKycc8gkcVtUU6sPa0pQva6a+8IS5JKXY8x/Zj8Jtomh6x4ikEytrOopJtlGBiKFIgV4zg7ffmvTqKK58vwawGCp4dO/KrX7mmIrPEV5VLWuFeNftVeBX8bXWm6cNLdjfadd6Yt5ApMiLcbA6DqB9xWGR/CewNey0VnmmAWZ4KWHcuVO2vo0/wBCsLiHha6qJXtf8hltCLe3jt1JIRAoJ9hin0UV6BznL/G6/wDHOlfBfxfqnwwtnm8S23hfUJfDsMUIkaS+W2kMChW4YmQIMHg9K/N6z+N/hbw3c/AGx8KftM32gRav4av38QamviC1trm6s/sKNJLdSzZMcp1GOFWHBMvnKR8jBf1JrgfhZ+y3+zz8EvGXin4hfCj4R6NoWteNr77Z4p1GxtsSajPvkfe+SQPnlkbC4BLk4zXzud5LiM1r0Z06zp8l9r316rVa9N9j6vIs7yzLstxFHE0eecruGkbNuMoWm3qlHm54WT95WaV+aPz78BI/BvxZ8a2jeFvi7J40nt9dsb3VNWXX4NRnjFtKs0UcjxfKifuyACATubByePsCmxwww58qJVz12rinV1ZNlUsqpTjKq6jk7tv0S7v8zwMZi1i5xajypK1gooor2DjPKP2o/Db65aaPPFpJmkRri3juI0ZnjMyou0Y4+baOo6qK9E8F6CnhXwdpPheN3ZdN0yC1VpCCxEcapk44zx2rTorz6GAVDMK2K5ruooq3blVvxOipiHPDwpW+G/4hXCfHH9mP4A/tLW+i2nx5+FOkeKY/DuqLqOipqsBcWtyBjeuCMgjGVOVbAyDgV3dFds4QqRcZpNdnqLC4rFYKuq+HqOE1tKLcWumjVmtNCP7Jahtwto8567BUlFFWYBRRRQBFerI9nKkMau5iYIjHhjjgH2ryD9lrwAnhzU9X1yOwmtEXT7TSobVlISNLdpmCjIzkebtPPYd69korz8RgFiMfRxLlb2fNp35lb8Dop4h08POlb4ra+juFeOf8FBtc8e+G/wBi74ia38NbzUbbVYPDzk3ejw+Zd21qXQXU0I/56JbGZ1IyQVBHIFex0kkccsbRSoGVgQysMgg9jXXXputQlTTtdNX7XW5rl2KhgMwo4mUFNU5xk4vaSi07PfR2s9GfmvrXxv8ABnh39qDSfCPhH9qN/Cvh2T4Wi5v10jxVZ2tvKRdxf2Y3mybi5aCW8ZVBwU2v0IJ+hf2VrDwp4/8AHWl+LfCPxAPiiHSdRub2912LVor43Fy1rJbkTTR5UsEmX5RggKvYHPs/wI/Ze/Z8/Zj8PX/hT4BfCXR/C2nanqT6hf2ul2+1ZrhlVS53En7qqAo+VQOAK7uOKOIbYo1UeijFfH4DhTE4adGVXEtqElLlSfLdO+l3+Nu572dZ3luIquGBpNQ5eVSkkpy7yko3V7uyXM7JJXdh1FFFfanygV4t+0x8PB458Xadpg0yQHVdOOnte26nzNhkJZcnKjaDuGR3JPAr2mivPzPALMsI6Dlyq6d/RpnRhcQ8NV9olff8UFFFFegc4UUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFeP/tm/t1fs5fsEfD7T/iT+0d4ovrGx1bVDYaZa6Ro1xqF3cyrDJPKyQW6NIUighlmkfG1EjZiRXsFfA//AAW48OfEvQPEXwb/AGj/AAf8FvFfj3SPB6+NdG1zQ/BeiSalfJNrfhm70+ym+zx5YxfaSkTv0jWfceAaAPunwr4o8PeOPC+m+NfCOsQajpOsWEN7peoWr7orm3lQSRyoe6sjKwPoav15F/wT/wDhN4z+A37C3wc+CfxFj2a/4T+GGhaTrcW8N5V3b2EMUseRwQrqy577a9doAK5n4zfF7wN8AvhVr/xn+Jd/cW2g+G9NkvtTmtLGW5lESDJEcUSs8jk4CqoJJIArpq5D4/fEDSvhX8E/FPxD1vRNa1K10nRLieew8OaNNqN9OAhG2C2gVpJnOeEUEmgCL9nb4+fDn9qT4HeF/wBof4RX11c+GfF+kRalok97ZvbyvBJ90vG/zIeOh5rtK+Rf+CFOvale/wDBLX4UeDfEHw+8W+GNY8H+H49B1zSfGXhe60m6S7gVWcpFcojSRfvBtlA2sQwByDj66oAKSSRIo2lkYBVBLE9hS0kjiONpGBIUEkAZJoA8S/ZK/wCChX7Mf7a/iPxb4O+BniLWH1bwVLbf23pfiDw3eaXcfZ7kOba8ijuo0aa2mEchjmUFW2nHbPt1fAX/AASH+LOoftPftQfHv9rD4r/CD4jeDvHPiq8sdL0zQfGPw91DSLTSPCunS3MOm28VzcxJHd3MzSXF3P5ZIQ3CIOEyfv2gAooooA8Ruv8AgoV+zRp/7Y9l+wtqWs67a+O9TimOltdeF7yPS76eG1W8ltIb9oxby3CW7LK0SuWVTzg8V7dX57fGfTvFPxN/4Lo/B3xT8Lvg/wDFyO98A2+tWXxD1rxLpVx/whkehTaQ5gu9NlkLW4vZLuWGEvBtmKxyJINqiv0JoAKKKKAPLP2sP2y/gF+xV4T8O+Mv2gPFUumWnivxjYeF9BS2s3uJbvUrxysMSogJx8rMzdFVSTXqdfl9/wAHB/wS/bY+JPibwF8QPgX+y8vxN8KeE5dGazhtPEwtbrStck8T6XK9x9lWCWS4Vra0S3Mw2rbRXNzK25VZa/TvTpr240+CfUbNbe4eFWnt1l3iJyAWUNgbsHIzgZxQBNRRRQB5p+1h+1d8K/2NPhQPjF8XrbXrjTZNastJtbLwxoE+qX93eXcwhghhtrdWkld3YKAoJ5rqfhJ8S9H+Mnw00T4p+H9E1vTbLXdPS7trDxJo02nX8CMOEntp1WSBx3RwCK8K/wCCsPhD4Q+Mv2UPsnxx8HfF3WPD9j4r0zUZD8D7W4l8Q2NxbymW3uoRbfv1VJljy8PzqSp4UMRqf8Epl/aTT/gnf8J1/a8bWT8Qv+EYX+3j4kbOpbfOk+zfaz1+0/ZvI83PPmb885oA+g6KKKAK2s6xpXh7SLvxBruoQ2ljY20lxeXdxIFjhiRSzuzHgKFBJPYCvLv2Qf22PgP+3J4EvviT+z/f63c6RZX4t1udb8NXem/a0aNZIrq3FzGhntpUYNHMmUcZweCKu/trfDXxf8Z/2N/iz8H/AIfEf294q+Gmu6RomX2g3dzp88MIyenzuvNfH/8Awb0eGv2h/CPwW8b+HvibpvxZsfBdjceHrTwVp3xlWddUtb6LQ7WPW44FuP3iWC6grrAo/dBVby/kxQB+htFFFABXz58I/wDgpd+zz8ZP2stU/Ys0Tw18QdI8caZY6jfeV4p+H2oaZZ3trZXKW09xbXNxGsdxF5kiBZIyVcMCCcivoOvlD9nPwP4z+I3/AAVQ+Pn7TfjTwnqlhpPhPwv4f+G/w/utS0+WBL2BUfVtUubcyKBLE1zd28PmJlS1mRnKmgD6vooooAK8C+NX/BTD9kj9n79qHwz+yD8S/Gep23jHxQ+npara+H7q4sbJ7+eS3sEu7uNDFatczRSRxCRgXZSBXvtflB/wUj+Dfxx8Vf8ABZr4f+N/DvwJ8davNHqHw7bwDrOgaFJN4ZltbTWr+bX312VR5Xm21rLHLaGc7o3fdD8xNAH6v0UUUAf/2Q==", 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", "info": {"equation": "77+84=161", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "ac3b4043077b0e4257db4281b55ed4a88453a07a2fcfc081bd03bff20b0585b4"} +{"episode": 43571, "episode_seed": 3544205307, "split": "train", "timestamp": "2025-10-28T03:46:54.963722", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 3544205307, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 4])", "action": "('move', [0, 0, 4, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "18+18*5=108", "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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oJu/uR/JH5txjmlPO+K8dj4U/ZqrVqSUe15N2fn387hX4gftQ+L/2hj/wcueFzbLqT3dj4y0Kx8PRfZgwTQZLaP7T5Y6GIxS3rM3YmQ8Ecft/Xy98WPhP8NtV/wCChXhf4y6l4Msp/FWk22m6fpmuSKTPbW0i6iXjTnAB3Nk4z8xGcE1wcRUXVoULSatVht5u363PoPDnivC8J4zHVa+HVVVsNWpJO2jmlZu/2dLS62b9D6hr4R/4ONNc+I+i/wDBNHVo/AT3aWd94r0y28VPapnGms0jYc9VQ3C2qk99wU8Ma+7q8u/bQ8H+GPiB+zX4j8EeNNFh1HSdVexttRsJ87J4XvYAyHBBwR6EGu/N6bq5XXinb3ZfkeBwdm9HIOK8DmVWn7SNGrCbj3SknpfS/Vedj8v/APgmD4w8FfEj9g7wz8Lvj7+0GZrBtTns7bwBqni21htLm0juw0ED2hxJIjSg/Ix/edCGU4P6F/8ABNC0tNJ+AGr+HPDFskXhXSvH+t2vgxIIUSBNPW5JZISnDQpctdIh/uoB0ArF/wCFSfDNv+Cb8/wfPgmwHhj99pY0VYysIs/7YaPyeDuC7OM5z755r079jDwj4Y8A/s46F4J8F6JBpuk6Vdala6dYWq4jt4U1C5VUXPOAB1OSe5NfLZBgKuFzSnKdVz5qKav0Ta93d6I+j4s4nw2dwx9WlTdNVsTKahpyRT5nzaP+I7qLtG1r6u6S9Sr+fb4Z/Ej4+t/wXk8UW/i/xBqdte618S9R07xLazsE+06ZBOWtYWU8GNRb2bJjtGhHHX+gmvCf2hvgB8GPCt3rn7QXh34caZaeNPE2oaJZa74jhgxc3lvFe2wjjds4wAiDgAnYuc7Rj1OKMuqY7Ac8J8vs+aT81yv8eno2Lw/4xwfC+HzLDV8P7V4yi6MXp7knJau/T7WmvNGPqsn9hTxhfeINMk0nTfGDavY6aby3vU+2rMLGdbt2FudvEbIHwEPzBcZ6CvoyuE/ZmRE+Bfh3aoGbRicDqfMeu7rvyPCTweWwhKbm3rd9L6267HwmOrRrYmTUbW0+7qFfmN/wdG658SdP/ZG8DaP4de7Tw1qHjcr4laBP3byJbu9qkjDopYSsB0LRg9VFfpzXiX7fPwy8A/GH4JWnw6+J/ha21rQ9R8T2IvdNuywjm2F3XO0g8Mqng9qM/pupk1dXt7rf3a/jax9L4fZ9h+GONMDmlel7SFKom46Xs01dX05o35o3tqlqtzG/4JO6p8QNZ/4Jv/B2/wDidFOurHwXboBcwiNzaIWS0YgdjbLCQepBBPJr3/VHvI9MuJNPXdcLA5gXGcvtO39cVyf7OVpa6f8As/eCNPsbdIYLfwnp8UEMa4WNFt0CqAOgAAAHtXZ13YOLhg6cb3tFa/I8LOcdDMc6xGMjBQVSpOaitoqUm+VeSvY/nl/4JK/GP4paT+278SL34v8Ax01bwZc67p99deNr+bWoNNmudVS9UhJXnH3w8tz8g7luwr9NP2N/Dnws8Mftm6PrHwGvbLUW8TeCddu/Het6fdxXr6ti/tngvLy5UkyTG6lu1Vs85mUDEeE9E/ZB+EPwx8DftO/Ebxj4S8EWFhqviq81S78R38MZMl/OurzBXcsT0DNgDA+Y8c0v7Jfwk+GfgL9rH4ieOPBvgqx07V/FV1rE/iLULdD5l/JHq7KjOST90M2AMDk8Zr8+yvLK1HE4WtKtJp1JpR6Ll5rvf7VtdOp+r8bcfYDifOMbjaOHdGM6FOHIrWk+SMbzs1pC7dPST9yGkd19Q1FfRWs9lNDfKpheJlmD9CpHOfbFS1xvxz8YW3hPwHcpJMUlvkaCNgM7VxmRj7BM/mK/QMdiaeDwdSvU2im/Xy+ex+M0KUq1aMI7tnhn7Pes+Ftd/bAn8Ozq8j+HvCdxLo0ssUexriaWHzsHfuWZLc2/AXGy6f5u1fUtfI/gv4c6/wCAtP8Ah78aY7cw6rrGuf8ACQalFNKm4RXQMUluSYhgpYyxKBwd9uAW/ir64BBGQa8LhW9HAyws48s6b1X+Jcyf42+R35r79dVYu8ZLT5aP+vM4H9qvVviDoH7MXxF1z4TC4Pimz8D6rP4cFnFvl+3LaStBsX+JvMC4Hc4r8QP+CF3xY1Dw6PiRoPiv9pDUfBWiztZXcQi8UW+nfbL1zKsjlpgWkby1XOOnGeSK/f2vOP2b/hh+y38OPC2saX+y3oXhW20e58S3dxraeF7iOeH+1CVW4EhRmCyjailMjYABgDitc5yavmeKpVKdd0+VSWl76221XzPs+G+MsLkvA+aZNUwntJYmVFqelo8km7S08vc83I+f/wDgnb4b+H3gD4++LfBfwAt7OLwbL4F0fUNVi0eRJbNtTea4SG5Mqk77ia1QF2JJkWOJ2JJBP2PXy9/wTX+E3w1+Ell4qsvhr4MstGi1i20vU9UWzUj7TeSi58yZixJLHaPYY4Ar6hrThmDp5JSTd/i/9KZ81xVjoZhnU6sXKXuwXNL4pNRScpavV+r0srvc85+LHw1/Zg8XfFvwB4r+MujeF7jxnot7dP8ADmXWbqNLxZzGpn+yIzAzMFVGIAbbtDcEA16HHbwRHdFAin1VQK/Dj/g4Z+JHx58I/wDBT34e6noPiPVNJh8P+HtNvPAV7buIlt7l7uQzTRMfl3+YiBi3ZEDfLjP6L/s4fFu18R+Prbw/4J/aUufG87XUUt1ZS+K7fUWgiBKs22EAqhDHJPGQOmK8+pxRhcNmVTDSovm5krpLXZXf6b6WPq+JOBsXlXDGUZjLFqpHE0pzUG3+7tK/LHV6Pmu9vf5/U+s6KKK+uPzI+ev+CsGufEnw3/wTk+L+s/CV7tNbi8HzBJLGPdLHbM6LdOvcbbYzNuHKgEjkCvkr/g1u1Tx/dfsieO9M1uKf/hHbXx3nQJJIQEMz2sRuVRurAYhJHQFj6mv0U+NUEN18G/FttcRh45PDN+ro3RgbeQEV5X/wTy+Fvw8+DXwd1j4ffCzwjaaHotn4od7bTrINsRpLKzdzliSSWYkkk9a+fxNFviShU5n8E9OmjX/yX4I/RMu4rwuF8Msdw/LDp1KtenUVTTRJarvdcto9LTnt196r4T+IvxA8X2X7UniSxPiW9XxUPjt4YsNE0srG0h0lorFtkUR5Nu1qdTlaQDIK3DZHlnb92V8vfFn4TfDbVf8AgoV4X+M2p+DLKfxVpNrpun6Zrkikz21tIuol405wAdzZOM/MRnBNHEVF1aNC0mrVYbebt+tzweGcdgsFXrvE0+dOm7aJ+9FqSTv9mVuWVtbPRPZ/nB+2f4w/aI/4iSfCAsF1J7nTvF3hyz8Kw/ZgwXRJIYjdeWDwYiJr8s3YmQ5BXj9wK+X/AI2/Cf4ba1+354Q+MOreDLK48UaJaaTZaTrcqsZrS3ll1DzI05wA25snGfmIzya+oKMjpOliMZeTd6r/ACT/AFt8ke9x3xZheJcvyijRw6pPC4aNKT095xbV9OmnNrrzSl6v4b/4OItc+JOif8Ey/EI+Hz3aW154h0228USWkedumtKdwc9VRphbqSOu7aeGNfJX/BLXxj4M+IX7BmhfCv4+ftCn+y21i6srXwFqXi61t7S6sluVeKF7U4kkjeYvlSf3mdpBU4P6l/tleFPDvjr9mrxP4M8X6RFqGlarFbWuo2M+dk8L3UKuhwQcEEjgg15da/CT4Z2//BN+/wDg9b+CbCPwwsd9pY0WOMrCLM6tLGYeDuxsJGc575zzXjZ9l9bF5tNwrOFqLbt1Sfw7rRnpZVxng8N4e0sieHtUWLVX2qtdLktdbPnT2d0rWV1ua/8AwTRsrLRvgh4i8M+FbVIfCelfEXWbXwZFbwIlvHZCVXlSDZw0SXr3qKe2zb0UV9EV5V+xV4N8K/Dv9nTR/AvgfQrfS9H0nUNTttN0+1UiO3hXULgKi5yfxJJPUkmvVa+nyePJlNBXv7kfyR+f59i4Y7OsRXgnaUnvu9d5f3pby/vNhXlPjHwSda/aP0XVjp7xiCOG6a5iB/eCFZwAxORgGUjjB+YeterUVrjsGsbGEXK3LKMvXld7fM4KFZ0HJ2vdNfeFeC/8FBNc1bRPAHggJqlxZaNd/E7S4PEs8OBH9n2TtbpK5+5G98lihORkuq/xYr3qsP4lfDbwJ8YfAeq/DD4neF7XWtA1uza11XS71C0VxE3VTjBHYgggggEEEU8ww0sZgalCMrOSav6nVlGLoYLMqVavHmgnqkk3Z6NpPTmV7xvpdI/Pn4NfGnwT4nn8R6P4i/awlksYviNqdvovhefxhZRW00CXYKRrbjDun2jzNpzl8KecjP3r8DPDr+F/hdpulyLKGd7i6dZhhgZ7iSYjGBgDzOPbFavgj4f+Cfht4P0rwB4E8MWel6NolhDZaTp1pCFjtreJAkcaj0CgD1rYrx8myGtllf21Wu6j5eVJ7JXT0u3pppsdec5phswrz+r0uSHNdbXtsr20vbV+YVxvx707+0vhneRfYBcCKe3n2kElDHKrhxjupUH8K7KivbxmH+t4SpQvbmTV+11Y8ejU9jWjO17NP7jm/hB4aPhD4ZaL4dPmZt7Fdwm+8C2XIPA6FsV0lFFa0aao0Y019lJfcTOXPNy7hXCftE6YdS+HoYacLg22owzr8pJjIJAcY784+hNd3RWOOwv13B1KF7cyav2uXQq+wrRqWvZ3MT4a+Hh4S+HeheFgZD/Z2kW1tmXG75I1XnAHPFaerPex6VcyaYm65W3c2646vtO0fnirFFb04KnTUF0ViHK8+ax+XfgX45Wumar8KLPWf2m9R8MXuqfD3U7zxrO3iG1sLie/FxaCT7S0oJSUXjXqeWMfMkox+7IH2N+xppnh7XLu5+IXhfxYddsvsElsmsR6hHdJeyy3HmzSNMnyySeYhLEHALHgcV6X8O/2efgl8JvFvirx38OPhnpWj6x431JdQ8V6hZwYk1O5G7EshJPOXc8YGXY9WJPZIiRrsjQKB2AxXyeWcMYjBYmnWq4hyUG2o621ur6vfW703+8+q4hz7L8yry+p0OSLW7sndycndR0tFvkjrrGMXZfClrn/AB98PdO8fx2Md/dPD9iuhKCiA71/iTnpnA59q6CivqcRh6OKoulVjeL3X4ny1OpOlNTg7NHP+P8A4fad4/trO2vrp4fsl0JQyKDuXoyc9Mjv2roAABgDgUUUQw9GnWnVjG0pWu+9tvuCVScoKDei2+ZwP7VerfEHQP2YviLrnwmFwfFNn4H1Wfw4LOLfL9uW0laDYv8AE3mBcDucV+In/BC/4ya34et/iJ4X8W/tM6p4L0BpbO/toU8VW+npdahJvSWT9+CXcxxxhiP7q57V+/NcZ8G/2ePgh+z3oWoeGfgr8MtK8OWGq6xNquoWum2+1J7yXaJJTnPJCqMDgBQAABXiZzkuIzPE0qtKs6fKmtL31ttZr56n6Fw5xrgck4JzPJKuFVSeKlScZ6e77OV3e+v+G380r+fHfseaBosHhq98XeHL9brTtRtrO30+5hnWWGaCFZCkiOuQ4Pmn5gSDjjvXslIqqihUUADoAKWvTy3BLLsDDD83Ny9dr63PgcTX+s15VLWucd4+/Z9+CvxS8f8AhX4p/EP4baZq/iHwRcTT+FNWvId0umyShRI0ZzjnYp5BwVBGCM110dvBEd0UCKfVVAp9FdihCLbS1e/n6iqYjEVqcKdSbcYK0U22opttpLom23ZdW3uwoooqjEzfGVgNV8I6rpbWa3AudNniNu2cSho2G0455zj8a439mjw03h/wLd3TpKh1PVnutkoxtAhhgGBjOMQg89ya9Eoring1PHwxXN8MZRt6tO/4G8a7jh5UrbtO/pcK/Ov9rH4t6r4Q+JPxFu/EPxcvPDPiCD4yeG7DR7g38FrLa6XJFYbBCZcqsL27ai5kx94TnOUO39FK43Vf2e/gprnxq079ozV/hrpdx440nSJNL03xLLBm5t7NyxaJTnGDvfnGQHYA4Yg8ed5ZWzXDwp06nI1JSv6X/FbrzR7fDma5flVerPF0vaJxslZP3lKMknf7Mrcsra2eiez+e/2b7jwf8VPiVZXnhv40S+N59Ov4bm+1JvEUGoy26RLK0UTtEMRx7mcgEAks2DX1tTY4YYc+VEq567VxTqvJ8rlldCcJ1HUcpczb32S7vt3PIxmKWKmmo8qStb+rHg3/AAUG1zV9D+GXhJotTuLLRbr4laPB4nuYQAi2haRoVlc/cie9WzjY8Z37ejGvlf4SfGrwT4k1LxXofiX9rCT+z4PiPqNto3hefxhZQ2ssCzI3lCAYd0+1GcA5y+ByeK/Qf4i/DvwR8W/Auq/DP4k+GrXWNB1yxez1XS7xN0dzC4wynHI9iCCDgggjNHgP4deBfhh4M0r4d/D/AMLWelaJodhFZaTp1pCFjtoI1Coi9+AByck9SSa83NuH8TmWP9vDEOmnHl0v3em60f5nv4XO8uw+RLDSoc1ZS3suXl3vfV89/d2ty9bmV8CfDreGPhfp+nyCUNNNc3brMMMDPcSTYxgcfPx7V19FFfQ4WgsNhoUU78qSv6Kx8zVn7WrKfdt/eFFFFbmYUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAV5GP24v2bz+2Ef2Ex40n/wCFjDw9/a507+zJ/s3l7fM8j7Tt8r7T5P7/AMjdv8r58bea9cr860+EHxlH/BcdifhL4l/sH/hOT8RP+E5/st/7I/sw+BV8O/Y/tX3PtX24H/R87vL/AHmMc0AfopRRRQBwP7T/AO0r8Kf2QPgT4h/aN+NupXtp4Y8MWq3GqTadpst5OFaRY1CQxKzuSzqOBgDJJABI7Lw9runeKPD9j4m0iRntNRs4rq1d0Klo5EDqSDyDgjivDP8Agqnr82gf8E4vjWtl4R8Ra9eap8ONV0fTdI8K6BcanfXN3fW72cCpb26tIy+bOhdgCEQM5wqk16B+yn4vtfHv7NHgPxbZaFrOmR3nhOxI0/xDpE1hfW5WBVKTW8yrJC4KnKsARQB39FFFAHknwq/bd/Z9+Mv7R/jX9lLwXr2qf8Jp4DtludYsdS0C6tIbiAymB5rSaaNY7uOOYeS7xFlWT5Sc163Xxd+zB8S7z42f8FcvjX4l8d/DHx3oN34G8JweDPAE+q+CL210i+0iK5iudQv49RkjFvcS3F7NGkcSOSIbDfg72x9o0AFeWftfftjfBP8AYd+E5+NXx7utah0FL0W802heHbrU5YR5ckrzSR2yO0cMcUUkkkrAIioST0z6nXyD/wAFxYY/EP8AwT38YfC+H4dfFTxHqXi+0m0zw3b/AAn0+e5uU1c28slit6sJz9gknSOKbzA0JWTbINrE0AfW2lapp2uaXba3pF2lxaXluk9rPGcrJG6hlYexBB/GrFYvw2g8SWvw60C18Y2tvBq8ei2q6rDaIFijuRColVAvAUPuAA4xitqgArzr4Q/tUfBj46fFb4kfBj4a+IZr7XPhRrVppXjNDaOkVtd3FqtykaSEbZSI2AbbnawKnkV6LX55f8EV/hZ+138Jv2kf2ktP/al/ZyHhC51rWNE1SXxHD4iF/B4h1CaO7lubiJlgjUhvNViqs/k7lhJJTcQD9DaKKKAPJv2jP2zPhN+zF458CfDjx5oXi/U9Y+ImozWnh6z8JeEbvVmTyXt1mnuPsyN9ngQ3MO6V8IobJIxXrNfC/wDwWg8L+MNT1L4P+Kfgd4Y+L8vxZ0zxWkHw21n4cQTHSbSafUdL+2xa48XypZSWsMhIm/csIpM/OEFfdFABTZpobaF7i4lWOONSzu7YCgckknoKdXOfGLwxq/jb4ReKvBmgTCO/1fw5fWVlIzYCzS27xoSe2GYc0Acp+yn+158E/wBtD4fXfxR+A2qape6HaavLYJe6noVzYi7KKjrcW4uEQz20iOjxzplJFbIJwcenV8C/8G83gj4//Df9kTWvAfxk0v4kWGlaLrWnaf4X074piYajavBoenQ6pHAJvmWwXU0vVtgPk8sfu/k2199UAFeKfHP9vf4I/s7ftC+B/wBmz4k6F41TWfiFe2ll4d1jT/BN7c6Mbq5mliit5tQSMwQzEwuxjZgwQByNpBr2uvm/9qDwj4r+K37dn7OngqDw3qM/hjwhd+IvHWv6iLKQ2cV5a6eNM0+F5cbBKz6tPKiE7iLZmAwpoA+kKKKKAOa+Mnxc8A/AL4T+I/jb8VNcGm+G/Cei3Gq65fmJn8i1gjMkjBVBZjtU4UAknAHJrC/Zd/af+E37YPwbsPjn8Fr/AFCbRb67urRodY0qawvLS6tp3t7i3uLedVkhljljdWRgCMVyP/BS/wAN/ELxj/wT3+NHhP4UeEm17xFqfw21e10vRo7UTyXkj2rqYo424eQqW2L3fbXAf8EXfCWu+C/2GbPR7/wX4s0LSZPHPia68I23xAspIPEE+jTaxdS2dxqSy/vTdyRuHdpf3jZUtyaAPq+iiigDyNf25P2b3/bDb9hRfGdx/wALFTQP7WbT/wCy5/suzYJfs/2rb5P2nySJ/I3b/KO/G3mvXK/O/wAYfs3/ABG1D/gv54V+JvgObx1/wi1pZ3Hi7xzb3/gwRaBHeDw3LoVtPbatv/fzSLJFE1kFBj+zyyk4ZK/RCgArzb4z/tY/Bn4CfFL4c/Bv4i6tfw698VNcn0nwhb2mlTTxy3EMPnP5sqKUgULgAuRuJwM849Jr5B/4KnfE1fA3xF/Zns1+GnjrxB5Xx5tNXvp/B/gq91aLT7OCwvLWSW5e2jcW6+bfwY3kblEjDIjbAB7H+y1+3F+zh+2VfeM9O+AHjSfVpfAfiBtI14XGmT2wMgLqs8BlVRcW0jRSqk6ZRzDIATtNet1+df8AwQr+D3xl+HniTx4Pij8JPEfhNfCHgjwx8O5n8QaY9smsanpF5rk11eWhb/j4tSmoWxS4XKvvYA/Ka/RSgD//2Q==", 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", 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", "info": {"equation": "18+18*5=108", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "9dd6e3f7fa37281900bcce6da2a569cb447d828158775dc0ce98f8c32ec7fc43"} +{"episode": 43572, "episode_seed": 1624683410, "split": "train", "timestamp": "2025-10-28T03:46:55.031951", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 1624683410, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 4])", "action": "('move', [0, 5, 1, 4])", "reward": 0.0, "image": 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", 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", "info": {"equation": "36-25=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": "36-25=11", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "f3ed0d1336886e72bd0f9405b9c93df273987c9652c23dd7e0e3f24108926897"} +{"episode": 43573, "episode_seed": 1301110457, "split": "train", "timestamp": "2025-10-28T03:46:55.098461", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 1301110457, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 7, 0, 4])", "action": "('move', [2, 7, 0, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "61-12=49", "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": "61-12=49", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "abac327b73f78474acfaffebfa4a89f1054be160e3770dc673a84d1140316a19"} +{"episode": 43574, "episode_seed": 3887907728, "split": "train", "timestamp": "2025-10-28T03:46:55.166051", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 3887907728, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 1, 4])", "action": "('move', [6, 5, 1, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "56-22=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": "56-22=34", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "f2baca065b3789c5f4094b1c5c4b4cb1fe780f29d7a2bd45d9c80b913a6de330"} +{"episode": 43575, "episode_seed": 2304156616, "split": "train", "timestamp": "2025-10-28T03:46:55.231801", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 2304156616, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 1, 8])", "action": "('move', [7, 0, 1, 8])", "reward": 0.0, "image": 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1+7+5bQlgv95uir+JwK0K8I/a++MCeH/D13puj6fNqEulr5j2MA+a8u22pb2yEAnc0jquegLjPQ12ZzmCy3ASqr4npFd5Pb/P0R4eCw7xOIUem79DmvgH4am+NP7Sd98RddiW40v4fFkt2eNHSXX7uIPI4O8lWt7SVFAKjm+bByvH05XD/s5fCZ/gp8HdH8C6hdJc6osb3niC+Tb/AKXqVw7T3U2VRMgzSPt+UYQKO1dxTybAf2dl8KT+LeT7ye/+QsbiPrOIc1tsvRBRRRXqHKFfzif8F0PGHx41L/gqN4uj8e3GqJJotxZQ+BIpISFi04IkkDW4HDBpWkbIyTIWzyCB/R3XxH/wUW+Anwa+J/xv1D4g/EL4c6drGteFvhraT+HtQvUZmsZPtOpvuQAhSdyKw3A4KgivlOMKLq5SmpNWlH530/C9z9Y8HeNsFwLxPUxuJw3tozpThZWum7NNX0s7csutm97Wf1f8AtR+IGr/AAJ8Fat8WbaSDxVdeEtNm8TQzQCJ49Qa1ja4VkXhCJS4KjgdK62iivqYR5YKN72Py3EVVXrzqKKjzNuy2V3ey8lsj80v+DnrxR8ZdE/Y68K6H4Hlv4vCer+LfJ8bSWcf7twkfmWkUzDlYzKrMB90vGmeQoPy9/wQ++NOraH8CvFXhDxx+1HqHgvQ9O1+JvDmmxeK7TTkd5Y3a6dVlG9+RDk9ATgc5r9ofjv4Q+C/jz4Q6/4U/aIsNFufBV3Yn/hIo/EM6RWQgVg++V3ZRGFZVYPkbSoIIIBqD4B+BPgP4F+EGheFv2c9I0CDwVbWhPh9PDsqTWbRM7OXjkUsJAzszFtxySSSTXymZcP4nHZs8TTxLp3ilpe6t21Wj39T9bwviJgcP4Sf6sSwHNP23P7Wy5d+a97X9pb3P+vfXofAth4J+B3g/wCN/wAH/iX+zXPpmpePtY+LsKSeI9IuodR1DXbK5dxrz3c4LNNGtqZZHc8QusQXZuCt+l1fEXwT+AXwX8K/tyw/G/w78N9NtPF2t/EvxPb6pr8aMZ54hHqo2ckhR+6jztAzsGc19u0+EaEqGErJyb/eSWvlZX+fU+O4tzWnmP1WEZSm4U9ZT+JuTb5VrL3IfZu7tuUrRvyoryL9rT4Q/sVfFfTvDUX7Zuh+Cru2sdaz4WPjK/itl+2uB+6hMjp5jOFGYuQ20ZU4GPXa/Bb/AIObvFPxlvv23NE8J+L5r9PB1h4Rgn8GwPHttWkkY/a5UI4eTzERWJ+YBIxwMZ9PPswhluXOrKnzq6Vnt8/63se14TcI4njTjKngKGLeGkozn7SLfOrK1oWa1d9dV7vM+lj95FsbFFCJZxAAYAEYwBUoAAwBgDsK/Lv9hn9prU9b/Zb8A+LPjZ+3Pqlt4mfS1l1Gw1Dx/YxEKkziFZImG4ZhWLIY7jkluSa/QL9nbXvEPiLwzdalq1/Jd2kk6vp93JIXEqsNzFW/iTJBBHHJ9K4st4nwuZ4yOHp05JtN3drK3o3/AFbufK53w9XyTF16FSpGfspyheO0uWTjdeTtdeR6FRRRX0x8+Ffkf/wdSeJ/jDZeCvhZ4U0uW/j8B31/fzaz5MeLebU41j+zJK4/iETXDIh4OGIyV4/XCvAP+Civwu+Hvxm+E/hv4d/FLwpba3ol942tzeabdlhHKUtLt1yUIPDKDwe1eLxFSdXJK6TtaN/u1t87WPufDbiTDcJcbYPNcRR9rCnJ3jpf3ouN4305o35o3tqt1ueC/wDBt9rfxY1f/gnBa2vxGgul0uw8X6jb+CpLm2CCTTMROxRgMyILt7tdx7qV6KK++a8i/YX8LeHPA/7NeleDPB+i2+m6VpWsaza6dYWqbY7eFNUulRFHoAPr6167XRk0HDKaCvf3I/keXxlnFLP+K8bmNKkqcatSclFdLvr5veT6tthRRRXpHzR/Or/wcE+LPjVqn/BTTxJpfxDuNRTTtHsNPj8CQzRlI009oEcvABwwa5Nxl+SWUqfugD96v2UNX+KHiD9mH4ea78bba4h8Y3ngrTJvFMV3biGVdQa1jM4dBwjeYWyo6HIr5n/4KTfAX4NfF34rz+K/id8OdO1zUPC3w0kuvD9zfozGym866beqhgrHdGhwwI+Ucda+07ElrKFmOSYlyT9K+SyTDulnuOvJvWP/AJNd/hsvI/XuO+O8DxNwTkmV0cIqU8LBxlLTVpRj7ttbStzzv9rva7looor60/ISvq730ek3UmmJuuVt3NuuM5fado598V/NL+w94/8A2rdQ/wCCungrxlevrNx8S7/4oiPxatzabroLJM0WqJLGwwipbG5DDAEaocbdox/TFXxD4C+A3wb0f9vJPj5pnw606LxnqXxS1a0vvEQVjcSwCyvV2csVUbY0BKgEheTyc/JcT4eVXEYOSk1+8S087a+qtp6n694X8eYHg7Lc4w2IwirPE0HGLdtGlJcsr/YlzXklreK06r7eooor60/IT+f/AP4OUPFnxovP+ChEfh7xpcahF4Z0jwxZSeA43QpAI5EVrqaIjhnNyrqzfe/dIOirX2H+yz+0Fa/EH9lrwdqH7Q/7bV/NrWr+G4z4n0bVviBYxpMH3AwzRcMA0RUMpIbDHJBzX318c/2T/wBnD9pi/wBA1P49fB7RfFNx4XvDdaDLqtuXNpKShbGCNysY0yjZVtoyDiu/NnaE5NrGT/uCvjK/C+MrY+tXjinBTd9L39HqtFst9D9h4j8TMszrgXKcip4FRqYNNSnpZ6W93Rv3/jqXt76W+55T+y74RFidc8e7pSNaW0gj3Y8tkgEpDpxzkzkZyR8ox0NetUAADAFFfS5bgll2BhhlK/Kt9r63PyXE13ia8qjVrhXJp8JNGT4jH4gi8fcT5n2PYNol27d+7rjvj1744rrKK1xGEw2L5PbRvytSXk1syKdapSvyO11Z+gUUUV0mYUUUUAFeE/tMfDZvHnjgaP8A2VIja9oiaW99bKTI8W+bjJyoKedIw443EnivdqK83NcuWaYT2Dlyq6f3O9jpwmJeFq86V9Ggooor0jmPzS/4OevFPxl0T9jrwrofgeW/i8J6v4t8nxtJZx/u3CR+ZaRTMORGZVZgD8peNM8hQfmP/giN8dvEen/AbxJ4L+If7V+reENB0XWok8KaV/wl9rYRr5qyS3XlpMCxXe0bHHyhnbHJav2p+Kfwr+Hfxu+H+qfCr4s+ELPXvDutW4h1TSb+PdFcIGDAHGCCGVWBBBBUEEEA1F8Kvg58Lvgf8P8ATfhX8JfA2n6D4e0eJo9N0qxhxFArOztjOSSWZmJJJJYkkk18pmXDuLx2aPFU8Q6acUtL3Vui1Wj3336H69hfEnLMP4U/6qSwSlV9t7T2mlrX5uba/tP+Xe1vZ9eh4F+yxoPhXxv4w0Hxb4M8Xf29YaLf3t/JrVrqUd4t1dSw3EUrSzJlWdmuZGIGDuHQAEV9RUiRxxLtjQKPRRilr1cnyv8AsnCui5ubcnJtq2rt5vt3PyzGYr63VU+W1lawV598ff2U/wBnT9qW00ex/aE+EOj+LItAvjd6OmrQFvs0pADFcEZVgq7lOVbauQcCvQaK9OpTp1YOM0mn0eqIwmLxeAxEa+GqSpzjtKLcZK6s7NWa0dvQiWxsUUIlnEABgARjAFSgADAGAOwooqznCiiigArzz9pXRV1fwPaXD6Utz9g1VLlZCCTbsI5E8wY9nZTnjDGvQ6OvWuTH4T69gqmH5uXmTV+xth6vsK0alr2dzjfgD4QbwT8LLHRnEweW6vL2RZxhla5upbgrjAwAZcAHnAGea7KiitMNQWGw0KKd1FJfcrEVZurUlN9W394UUUVuQeGftSfDv/hN/E6aYukyBtc0JtJa+tlJkKO0mUycqNvmMw47knIFe4wRCGBIQchEC8+wp1Febg8ujhMZXxHNd1WnbtZW+Z01sS61GnTtblv87hRRRXpHMFeE6J8NReftGpfjSpbNdM8Q3OsN5CkJI8kE8W9i2eH84txj5hx0Ir3aivNzDLlj6lGTlb2c1L1t0OnD4l4eM0lfmVvQKKKK9I5gooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK5D4+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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", 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", "info": {"equation": "9*19=171", "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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Vz0BcZ6GunPsZSweV1HNXclypd29Ev19EeJgKM62KjbS2rfZI8t+BviXwj43/AG2NM8KeIoWaHwtpV2+hSSRRNbz680MTTIGMm4TQ2M+5V2ci4mO4eXX2TXyD42/Zn8S/Bb4b+Fh4e1SKTxZYXkevNrErrsm8QCRprtmcQ/LFN5s0OQm4RSEADAr6x8N63D4l8P2XiCCBolvLVJvKZ1YxlgCUJUkEg8HBxkV5fCz+q0amX1Vy1Kbu/NOzT/T7jqzVe1nHERd4yX3W6F2iiivrDyQr+cT/AILoeMPjxqX/AAVG8XR+PbjVEk0W4sofAkUkJCxacESSBrcDhg0rSNkZJkLZ5BA/o7r4j/4KLfAT4NfE/wCN+ofEH4hfDnTtY1rwt8NbSfw9qF6jM1jJ9p1N9yAEKTuRWG4HBUEV8pxhRdXKU1Jq0o/O+n4XufrHg7xtguBeJ6mNxOG9tGdKcLK103Zpq+lnbll1s3vaz+r/AIBaj8QNX+BPgrVvizbSQeKrrwlps3iaGaARPHqDWsbXCsi8IRKXBUcDpXW0UV9TCPLBRvex+W4iqq9edRRUeZt2Wyu72Xktkfml/wAHPXij4y6J+x14V0PwPLfxeE9X8W+T42ks4/3bhI/MtIpmHKxmVWYD7peNM8hQfl7/AIIffGnVtD+BXirwh44/aj1DwXoena/E3hzTYvFdppyO8sbtdOqyje/IhyegJwOc1+0Px38IfBfx58Idf8KftEWGi3Pgq7sT/wAJFH4hnSKyECsH3yu7KIwrKrB8jaVBBBANQfAPwJ8B/Avwg0Lwt+znpGgQeCra0J8Pp4dlSazaJnZy8cilhIGdmYtuOSSSSa+UzLh/E47NniaeJdO8UtL3Vu2q0e/qfreF8RMDh/CT/ViWA5p+25/a2XLvzXva/tLe5/1769D4FsPBPwO8H/G/4P8AxL/Zrn0zUvH2sfF2FJPEekXUOo6hrtlcu4157ucFmmjW1MsjueIXWILs3BW/S6viL4J/AL4L+Ff25Yfjf4d+G+m2ni7W/iX4nt9U1+NGM88Qj1UbOSQo/dR52gZ2DOa+3afCNCVDCVk5N/vJLXysr/PqfHcW5rTzH6rCMpTcKesp/E3Jt8q1l7kPs3d23KVo35UV5F+1p8If2Kvivp3hqL9s3Q/BV3bWOtZ8LHxlfxWy/bXA/dQmR08xnCjMXIbaMqcDHrtfgt/wc3eKfjLfftuaJ4T8XzX6eDrDwjBP4NgePbatJIx+1yoRw8nmIisT8wCRjgYz6efZhDLcudWVPnV0rPb5/wBb2Pa8JuEcTxpxlTwFDFvDSUZz9pFvnVla0LNau+uq93mfSx+8i2NiihEs4gAMACMYAqUAAYAwB2Ffl3+wz+01qet/st+AfFnxs/bn1S28TPpay6jYah4/sYiFSZxCskTDcMwrFkMdxyS3JNfoF+ztr3iHxF4ZutS1a/ku7SSdX0+7kkLiVWG5irfxJkggjjk+lcWW8T4XM8ZHD06ck2m7u1lb0b/q3c+Vzvh6vkmLr0KlSM/ZTlC8dpcsnG68na68j0Kiiivpj58K/I//AIOpPE/xhsvBXws8KaXLfx+A76/v5tZ8mPFvNqcax/ZklcfxCJrhkQ8HDEZK8frhXgH/AAUV+F3w9+M3wn8N/Dv4peFLbW9EvvG1ubzTbssI5SlpduuShB4ZQeD2rxeIqTq5JXSdrRv92tvnax9z4bcSYbhLjbB5riKPtYU5O8dL+9FxvG+nNG/NG9tVutzwX/g2+1v4sav/AME4LW1+I0F0ul2Hi/UbfwVJc2wQSaZiJ2KMBmRBdvdruPdSvRRX3zXkX7C/hbw54H/Zr0rwZ4P0W303StK1jWbXTrC1TbHbwpql0qIo9AB9fWvXa6Mmg4ZTQV7+5H8jy+Ms4pZ/xXjcxpUlTjVqTkorpd9fN7yfVtsKKKK9I+aP51f+DgnxZ8atU/4KaeJNL+IdxqKado9hp8fgSGaMpGmntAjl4AOGDXJuMvySylT90AfvV+yhq/xQ8Qfsw/DzXfjbbXEPjG88FaZN4piu7cQyrqDWsZnDoOEbzC2VHQ5FfM//AAUm+Avwa+LvxXn8V/E74c6drmoeFvhpJdeH7m/RmNlN51029VDBWO6NDhgR8o4619p2JLWULMckxLkn6V8lkmHdLPcdeTesf/Jrv8Nl5H69x3x3geJuCckyujhFSnhYOMpaatKMfdtraVued/td7XctFFFfWn5CV9Xe+j0m6k0xN1ytu5t1xnL7TtHPviv5pf2HvH/7Vuof8FdPBXjK9fWbj4l3/wAURH4tW5tN10FkmaLVEljYYRUtjchhgCNUONu0Y/pir4h8BfAb4N6P+3knx80z4dadF4z1L4pataX3iIKxuJYBZXq7OWKqNsaAlQCQvJ5OfkuJ8PKriMHJSa/eJaedtfVW09T9e8L+PMDwdlucYbEYRVniaDjFu2jSkuWV/sS5ryS1vFadV9vUUUV9afkJ/P8A/wDByh4s+NF5/wAFCI/D3jS41CLwzpHhiyk8BxuhSARyIrXU0RHDOblXVm+9+6QdFWvsP9ln9oK1+IP7LXg7UP2h/wBtq/m1rV/DcZ8T6Nq3xAsY0mD7gYZouGAaIqGUkNhjkg5r76+Of7J/7OH7TF/oGp/Hr4PaL4puPC94brQZdVty5tJSULYwRuVjGmUbKttGQcV35s7QnJtYyf8AcFfGV+F8ZWx9avHFOCm76Xv6PVaLZb6H7DxH4mZZnXAuU5FTwKjUwaalPSz0t7ujfv8Ax1L299Lfc8p/Zd8IixOuePd0pGtLaQR7seWyQCUh045yZyM5I+UY6GvWqAABgCivpctwSy7AwwylflW+19bn5Lia7xNeVRq1wrk0+EmjJ8Rj8QRePuJ8z7HsG0S7du/d1x3x698cV1lFa4jCYbF8nto35WpLya2ZFOtUpX5Ha6s/QwPiL4Bs/iFoiaVcXrW0kUwlhnWPdtOCCCMjIIPqK0vDuh2fhrQ7XQbAsYbWERozdWx1J9ycn8au0URwmGhipYhR9+SSb8kDrVHSVNv3VrYKKKK6TMK8J/aY+GzePPHA0f8AsqRG17RE0t762UmR4t83GTlQU86RhxxuJPFe7UV5ua5cs0wnsHLlV0/ud7HThMS8LV50r6NBRRRXpHMfml/wc9eKfjLon7HXhXQ/A8t/F4T1fxb5PjaSzj/duEj8y0imYciMyqzAH5S8aZ5Cg/Mf/BEb47eI9P8AgN4k8F/EP9q/VvCGg6LrUSeFNK/4S+1sI181ZJbry0mBYrvaNjj5QztjktX7U/FP4V/Dv43fD/VPhV8WfCFnr3h3WrcQ6ppN/HuiuEDBgDjBBDKrAgggqCCCAai+FXwc+F3wP+H+m/Cv4S+BtP0Hw9o8TR6bpVjDiKBWdnbGckkszMSSSSxJJJr5TMuHcXjs0eKp4h004paXurdFqtHvvv0P17C+JOWYfwp/1UlglKr7b2ntNLWvzc21/af8u9rez69DwL9ljQfCvjfxhoPi3wZ4u/t6w0W/vb+TWrXUo7xbq6lhuIpWlmTKs7NcyMQMHcOgAIr6ipEjjiXbGgUeijFLXq5Plf8AZOFdFzc25OTbVtXbzfbuflmMxX1uqp8trK1grz74+/sp/s6ftS2mj2P7Qnwh0fxZFoF8bvR01aAt9mlIAYrgjKsFXcpyrbVyDgV6DRXp1KdOrBxmk0+j1RGExeLwGIjXw1SVOcdpRbjJXVnZqzWjt6ES2NiihEs4gAMACMYAqUAAYAwB2FFFWc4UUUUAFeeftK6Kur+B7S4fSlufsGqpcrIQSbdhHInmDHs7Kc8YY16HR161yY/CfXsFUw/Ny8yav2NsPV9hWjUtezucb8AfCDeCfhZY6M4mDy3V5eyLOMMrXN1LcFcYGADLgA84AzzXZUUVphqCw2GhRTuopL7lYirN1akpvq2/vCiiityDwz9qT4d/8Jv4nTTF0mQNrmhNpLX1spMhR2kymTlRt8xmHHck5Ar3GCIQwJCDkIgXn2FOorzcHl0cJjK+I5ruq07drK3zOmtiXWo06drct/ncKKKK9I5grwnRPhqLz9o1L8aVLZrpniG51hvIUhJHkgni3sWzw/nFuMfMOOhFe7UV5uYZcsfUoycrezmpetuh04fEvDxmkr8yt6BRRRXpHMFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXIfHz47/AAr/AGYvg34h+Pvxt8VRaJ4V8Lac17rOpSoz+VGCAAqqCzuzFUVFBLMygAk119fJv/Bb34K/E/48/wDBNnxx4O+D3hK88Q65p+p6Fr0Xh3To99xqkGm6xZ309tEn8cjQ28m1OrMFUcmgD2T9kv8Aa8+B/wC2v8KD8YfgNrt7dabBq1zpep2WraVNYX2mX9uwWa1uradVkglXKkowBw6noRXp1fF3/BG3wt4/1CD9oL9pfxX8NfEng/R/jH8e9R8TeDdA8XaRJp+ojTBY2VolzPayYe3eWS2kbY4DbQpPUV9o0AFFFFAHjf7ZX7eP7Of7BvhfQPFv7ROv6nZWviXXYtJ0ldK0O4vne4kZVBcQowijBdAXchcuo5JAr2Svhj/g4R8Wala/8E/7n4a+GvhZ468V614n8X6C2m2PgjwXe6w8a2Wr2V7O8wtY3MK+TBIVZsBmAUcmvsr4Y/EDSviv8OdD+JuhaVq1hZeINKg1C0ste0qWxvYI5Yw6pPbzBZIJQDho3AZSCCARQBu0UUUAFeBfEr/gpf8Asm/CL9qzQv2OfiF4p1rTvFniLUbbTdNvZvC17/ZDajcwma3sG1HyvswupIwGWLfuwRnGa99r84/27vjXf/Gr/gq58If2Ufin8Ffilb/Cv4YeJNJ8XL4h8PfDLU9SsfE3i6Q7NNhe9ghaG0sbITmeeV25kwjbVjZqAP0cooooAKKKKAPAv2dv+Cln7Kv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"info": {"equation": "9*19=171", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "bf5e1eafe4f24c6a74b877e73d5c4935209db73d8a35cfe23efa315ebf093f89"} +{"episode": 43576, "episode_seed": 1199443937, "split": "train", "timestamp": "2025-10-28T03:46:55.306177", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 1199443937, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 1])", "action": "('move', [0, 0, 1, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "195/13=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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g+WpQrSn7bTXVv3Xvz++ubVWUYa6+74L/AME4/DnhbwF+0D8W/AnwY0Sy07wRFp+hXl3YaNZxR2Ftr8iXKXKxmMYEjWkWnvJGPu5RsDfz9g186f8ABO/4QfDD4GeHfGXw9+EPgmy8P6LDr9vPHp9grbPNksoS7ksSzMcDkk8ADoAK+i69XhmDhkdBXvpf723+B8HxXjqeYZ7VrU7tWjG8vilywjHmlZu0pWu1eVr25pbv46/4LzeI/ix4Z/4Jk+PLv4TS3scly9na+IJtPjzImlSzqlzkjlUZSEcj+B2zwSa/N7/ghb8YdV8M/Dvx74O8WftM3/gjw7b6taXWj2MHim105JryWORbmQCUFnOyG2B7DA7k1+6fjXRvCXiPwbq3h/x/ZWVzoV9ps8GtW+o7fs8lo8bLKsu7jYULBs8YzXH/ALMfw6/Zm+Hnwa0zw3+yhpXhmLwOss8mmN4Xu47qzldpW81lmVnEjeYGBO4kFdvG3A5M2yLEZjmUa9PEOnaNtL336Wa0d9fkfa5Px7g8t8LsXw5PBc86teM1VsuVK0XZuzfP7jUe8ZS2tr8f/s1+FvhN8Pv2xvhde/syXNnPdeKY9fbx5qOi3cd6+taSIJpnvr+cMxlcaobdVnY53zyRg4JUfoHXx5+xv8EfhJ8O/wBrjXviP4I8AafpmveK18Uy+ItVtkbzb9l1mAguSSAMsThQATyRwK+w6rhOi6OWSi5N+/Lfydv0v6s+S4tzKGZY2i4uUuSnGLlP4pNuU23rLbm5I3k24xT0+FFcX8d/F0XhXwFcRm5WKS+zAJGbASPGZGJzwAoPPbIrtK+Z/wBpW9m+PHj7R/gpoTTNZ6/qQ0q9mjYL5dgoabUZMlHA3QRtCuRy8qYIzkdWf4qdHA+xpP8AeVXyR+ejfyX6Hh5fSU6/PL4Yav5HZfsSeDTafDG5+L+p2fl6j4/vRqwLxIJI9OCiPT4SVZsgW6pKRnh7iXgZIr2amQQQWsCWtrCkcUaBY441AVVAwAAOgA7U+vUwmGp4PDQoQ2ikvuOWtVlWquct2FFFFdBmfiJ/wdO+IfivJ+0H8OPCWpyXq+B08IS3ekIY8W0uqNcyJdHcPvyLCLQYP3VcYxvOf1S/4Jzax8Tdf/YS+E+r/GKG5TxHP4HsDqIvIBFKf3QEbOoxhjGEJ4ByeQDmuH/4KRfBP4TfHOTwV4d+L/gOw8Q2Nguq31paagrFI7hIoAsmFIzgMwwcg55Br3v4K/8AJHPCXA/5Fmw6D/p3jr5fLqDhxJjJczekNPVfpbT1P1PiXjXB5x4b5RkVPDKE8NKo5T01u/s9feved95RT16dNX4bf8HRnij4uj9qzwD4Z1O6v4vBtr4M+2eHFClYG1FrmVbt1YfekVEtAe6grjG7n9ya8r/aj+FH7H/xRsvC8X7XOieD7uCx8RxP4T/4S29igU6kwOyOEyOvmu4H+q+YPtGVOBj0c8y+eZ5dKhGfK207vbR9f63scPhXxdh+COM6OaVsM68YxnHlik5Lmi1eN+q2f91yPhP4EfEXwT+0D+zH4F0P9qT9qqXxRqOtaNps/iHwh4h8dWjQXt4CkkcU9quGk/eCNvKYnLABgeRX05/wS80/TvDvh74n+DPAFlFb+A9I+JM0Xg+Czt0S0gZ7O2l1CG2KcNEl+9yOMhZDIgxt2r6P+3F4E8HfED9mbXvBXjTw5bajpWq32lW2o2M6kJPE+p2oZCVIOCPQg1R/YG8B+Dfhh8CZfh98PfDltpGiaT4l1CDTtNs1Ijgj83OBkknJJJJJJJJJJNfP5bllfAcRxhUryqP2bd325rW3enX1ObH8QYfG5DilGDh7ardU1b2ULtS546/Hp7Ne6vcb953se11yPx48I/Bfx38INf8ACn7RNlotx4Ju7EjxFH4huFishArB90sjsoQKyqwbI2lQQQQK66vzj/4ObfEnxY0X9hbRNL8Dy3sfh7VPGtvB4ye0TKNAsUkkCTMOVjM6IfQuqA84B+pzPFRweX1K0o8yinp39fLv5Hm8D5HV4k4uwWW0q3sZVakUp7ONtbx297T3dV71tUfefwc8HfB/wf8ACrw/4Z+B2laND4Ps9KhTw4miOktobTbmNonUkSKwO7fk7s7sknNdQqqoCqoAHQAV+Lf/AARq+POsQ/sit4e+J/7X+q+F7XRvElxaeF9HbxraWKxWOyOQ7Y5QXK+fJNgnjqBwK/Vr9mnxZrHjPw5d69ca6dU065aOXTtRE4lScOpJaNx8rIRtIK8c8V4eVcT4XMcRTw0KUotry5VZX08ui0XQ6+NeFsTw1xBjcJVrqq6VSS57u8td3f7WvvK7s76vc9Looor6o+KCv52/2OPHX7Uup/8ABeLSPEevpq0vjm8+K13a+LYri0BljsN8kV4jIeEijtA4GOERF29BX9ElfHnhL4J/CXTf+Ci9x8d7HwDp8fjHUfG15YXviEIxuJbZdBcCPk7QMIgyACdoya+Y4joOrWwclJr97FaefX5W/E/U/DfjXB8J4DOKFfDKq8Vh5Qi3b3XqrO/2HzXklq3GOnVfYdFFFfTn5YfzT/s+fFz4/wCl/wDBWv8A4Tb4n/EXVvDHi3UPHt9aeONXnu4rKe0haR0uo2eUbIVWNSgHRQqhei1+kXx9sf2Y/iF4B8VfFXxH8aLfxp4p8O+FpH0HxJc+KbfUtT0GaN/NtHsfLP7iY3nk7Cq75ZBHGSwISvuDwh8I/wBjvSP2pPFHxJ8FeH/ByfFy/wBJiTxbPZXcTat9jKw7GnhDlo0YJB85Vd2EyTxXhn/BRH4G/CD4lfFzS/F/j34e6dqup+FPBz3nh27u42JsJzdE+YgBCk5RCNwOCoIxX5lmPDuJwOAqVXiW483wq9neSV3r8XV6b9T994j8S8BxPxVgMZTwssKqNCEXyJKT5U5csdYr2b0jFtu0fe5X8J9U/CW88Y6j8KvDOofEW2aHxBP4fspNdhaMIY7xoEMylRwpEhYYHAroKKK/TIrlikfg1aoqtWU0krtuy2V+i8kFefftI6QNT8EWlwdMFwbHVY7hX2kmA7JE3jHs5XnjDGvQaK5cfhPr2CqYfm5eZNX7FYer7CtGpa9nc5f4LeEj4H+FujeGWMu6C2LsJ8bw0jtIQcAYwXIx7V1FFFbUKSoUY019lJfcrGc5Oc3Lufkb/wAHVHiP4sWvg74T+FdPlvU8EXt/qM+qiJP9Hl1ONIhbCRh/EInuCqnrlyM44k/4JxfHdPFP7EPhDT/j5+2Nf21x9iuNPk8O6l46s7eM6ZHK8MEDwt8/lmBVXBIYr35Br9Pfjr+z78F/2mvAEnwu+PXw70/xPoEt1FctpupIxQTRklJFKkMrDJGQRwxHQkV0mjeGvD3h7R7Tw/oWiWtpY2FtHb2VpbwKkcESKFRFUDAVVAAA6AV8tj+G8XjMyqYmGJdNSSVle+itbdadfmz9UxPiHl1fw0wPDKwS9rQqzm6mlmnzNW0b5nzWlfS0I77R89/Zg8LjStA1fxQGk/4nmoRzLuxsKxwRxBk45B29efavT6AABgCivosvwawGCp4dO/KrX7n5fiKzxFeVS1rnx1/wXm8SfFjwx/wTJ8eXfwllvYpLh7O18QTafHmRNKlnVLnJHKoykI5H8Dtngk1+cX/BDL416/oPw38b+CPGn7UWp+DPDVhqdpP4f06PxZbafG1zMsv2pkWYFm4jgJx8oJz1Y5/dTxR4Y8PeNfDWoeDvFuj2+o6Vq1lLZ6lYXcYeK5glQpJG6nqrKxBHoa574LfAL4Nfs6/D61+FXwS+Hem+HfD9lLLJbaZYRHYryOXdiWJZiWJ5JJ6DoAK8TNshxWY5jHEUq7ppRtpe+/SzWj669D9NyfxBy7LfDLFcMVMGp1ataNRVHayS5b33fMuXlXTlnLa3veS/sf6J4b8QeIoPiD4T8S/2xp9ppF5bw6tb3yXUV5JcXEUksjTJkSSF4WJIP3mbI6Y+iaRESNdkaBQOwGKWvVynLv7Lwaoc/O7t3el7u/n+Z+bYvE/Wq3tLW209Arl/BPwu0rwRr2o65ZXbytfMRHGyACBC24qD357+gHuT1FFdVXC4evVhUnG8oXcX2urMxhVqQhKMXo9woooroMwooooA8o/aj8Nvrlpo88WkmaRGuLeO4jRmeMzKi7Rjj5to6jqor0TwXoKeFfB2k+F43dl03TILVWkILERxqmTjjPHatOivPoYBUMwrYrmu6iirduVW/E6KmIc8PClb4b/iFfht/wAHRnij4uj9qzwD4Z1O6v4vBtr4M+2eHFClYG1FrmVbt1YfekVEtAe6grjG7n9ya4T44/sx/AH9pa30W0+PPwp0jxTH4d1RdR0VNVgLi1uQMb1wRkEYypyrYGQcCsc7y6pmmXyw8JcrbT8tH1/rc+68L+MsHwHxhSzfFUPawjGcWlbmXNFq8b6X6P8Autnwb+yz8dbL4i/AH4f3vxw/bEu9X8R6jo2n3Gr+H9X8c2ZWa++R0R7dcPvEgjYJnO4DPORX3n+zt4Sbwn8OQsgmD6jqNzfukwwVMr5wBgcYAIz61232S1DbhbR5z12CpK4cqyGtl+MeIq4h1Hy8uq2V09232PmM3zenmdWpOnRjSU5uXLHZXb0SstFey8kFc/8AFT4V/Dv43fD7VPhV8WfCNnr3h3WrcQ6ppN+haK4QMGAOCCCGVWBBBBUEEEV0FFfRyjGcXGSumeRRrVcPVjVpScZRaaadmmtU01qmnqmtjB+HXwv+Hvwl8DaV8NPht4QsdH0HRLJLTStMs4QI7eFRwozkn1JJJJJJJJJrdVVUBVUADoAKWiiMYxSSVkhVatSvUlUqScpSbbbd229W23u31YUUUUyArxfS/h+br9p062dMkthYanNqjNCp2TM9m9qGYnOcrJ2xynsRXtFFefjsAsdOjJyt7Oan62vodFDEOgppK/MmvvCiiivQOc/mr/Z2+NH7Rehf8FZpvGHxH+J+teFPFWseOb2w+IGqyX0djNDbGZhdQyNJ8kSKsYAU8L5aBeVWv148ATeBPjVrV14W0D49TeOdS1C2S1uJm8UW+o3NnbF8HaIhiNMsSSwxnvX0/wCHv2Xv2fPCnxv1v9pLw78JdHtPHXiOyW01vxNFb/6TdwgRjaxzgZEMWSAC2wZJxXdR28ER3RQop9VUCvhafCGK1jPFPlcr8qTaet7vVK/yevc/XfETxJy7jPMMNicLglR9lQhTe26ve1l8Eb2it7b2vZPooor7o/IgooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK8f/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=", 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", "info": {"equation": "195/13=15", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "08830a970e7be7f002e27816efa982b748e82171c5d570f74b4d0ea316b89eec"} +{"episode": 43577, "episode_seed": 1335019889, "split": "train", "timestamp": "2025-10-28T03:46:55.358982", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 1335019889, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 5, 0])", "action": "('move', [0, 4, 5, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "56/8=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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"info": {"equation": "56/8=7", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "e6c9e9025f33ca0cd07c3f529043ef0b97f84daf80b8ed66cf851ffd963cd360"} +{"episode": 43578, "episode_seed": 2919825837, "split": "train", "timestamp": "2025-10-28T03:46:55.436234", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 2919825837, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 1, 0])", "action": "('move', [7, 0, 1, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "270/18=15", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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87H5kf8GqWsfEyXwH8XNBvorn/hDYNX02fTJGgAh/tN4pVuQr4yW8lLQsueBsPG7n9b6+dP8Agnf8IPhj8DfDvjL4e/CHwTZeH9Fh1+3nj06wVtgkks4S7ksSzEnHJJ4AHQAV9F15vDUHDI6CvfS/3tv8D6DxL4iw3FnHGMzWhS9lCpJWjpf3Yxjd205pW5pWvq3q9z59/wCCl3iDXvDn7N1vc2er3Wn6JP420O38a6haYH2fRXvo1uTI5/1cLfIkr8bYnkJIGSOH/Zp8dfEjUfHf7QFr8MNQm1O10nw7pb6IkcEUsEXiX7HeedbxuPvv5SaYzxsflMi9N1e9ftXaXp+ufsx/EHRNWs0uLS98G6lBdW8gyssT2zq6n2Kkj8a88/4J5/Cb4a/BHwZ4w+HXwl8GWWgaHa+LFkg02wVgivJYWjOxLEsxJ7kk9B0ArkxWHlLimjPnavTlp6afrf1SObBZpl1HhapRnR5qqmrNpcrTlCTbfxcy5HBK1nGb1jy2n+Pf/Bv14w+PWof8FXhfSzardza7pWtv8S7i7gLyNGVaZpLgsMoxvltgW4O9tv8AEa/oHr49/Y5+Cfwm+Hv7XOv/ABJ8E+AbDTde8WL4ql8R6rbq3nX7rrMJBcsSByxOFwCTkjgV9hVXCdF0cslFyb9+W/k7fpf1Z7/i3xjg+OOKYZhhsP7GKo04W0u2k227aac3LH+7GO2yK4v47+LovCvgK4jNysUl9mASM2AkeMyMTngBQee2RXaV8z/tK3s3x48faP8ABTQmmaz1/UhpV7NGwXy7BQ02oyZKOBugjaFcjl5UwRnI6s/xU6OB9jSf7yq+SPz0b+S/Q/PcvpKdfnl8MNX8jsv2JPBptPhjc/F/U7Py9R8f3o1YF4kEkenBRHp8JKs2QLdUlIzw9xLwMkV7NTIIILWBLW1hSOKNAsccagKqgYAAHQAdqfXqYTDU8HhoUIbRSX3HLWqyrVXOW7CiiiugzPxE/wCDp3xD8V5P2g/hx4S1OS9XwOnhCW70hDHi2l1RrmRLo7h9+RYRaDB+6rjGN5z+qX/BObWPibr/AOwl8J9X+MUNyniOfwPYHUReQCKU/ugI2dRjDGMITwDk8gHNcP8A8FIvgn8JvjnJ4K8O/F/wHYeIbGwXVb60tNQVikdwkUAWTCkZwGYYOQc8g1738Ff+SOeEuB/yLNh0H/TvHXy+XUHDiTGS5m9Iaeq/S2nqfqfEvGuDzjw3yjIqeGUJ4aVRynprd/Z6+9e877yinr06avw0/wCDpHxH8WJ/2p/AfhPW5L1fBVv4KN1oEbR4tn1B7mVbxlP8cgRLQHPKgr03c/uXXyr/AMFK/gj8JfjfeeDtL+LngGw8QW2laVrl/p8GoKxSG5QWYWTAIzgEjByDnkGteK6bqZHVadrWfrqtDk8J+LMJwXxtQzPE0PaxSnGytzLmi1zRvpfp/hbPmb4AePvAPx3/AGW/AXhr9pn9qNvEl5q2h6ZLrvgzXfG9mba7ulKPFBLaJtLgOsZ8k8FlAZTyK+n/APgl5p+neHfD3xP8GeALKK38B6R8SZovB8FnbolpAz2dtLqENsU4aJL97kcZCyGRBjbtXq/2lfA3g/4hfsOJ4M8a+HbbUdK1ax8P22o2U6EJPE97ZBkO0ggEHsQavfsDeA/Bvww+BMvw++Hvhy20jRNJ8S6hBp2m2akRwR+bnAySTkkkkkkkkkkmvJyzLa+A4ijGpXlUfsm7vte1t3p19Tjx/EGHxuRYqMYOHtat1TVvZQu1Lnjr8ens17q9xv3nex7XXI/Hjwj8F/Hfwg1/wp+0TZaLceCbuxI8RR+IbhYrIQKwfdLI7KECsqsGyNpUEEECuur84/8Ag5t8SfFjRf2FtE0vwPLex+HtU8a28HjJ7RMo0CxSSQJMw5WMzoh9C6oDzgH6vM8VHB5fUrSjzKKenf18u/kebwPkdXiTi7BZbSrexlVqRSns421vHb3tPd1XvW1R95/Bzwd8H/B/wq8P+GfgdpWjQ+D7PSoU8OJojpLaG025jaJ1JEisDu35O7O7JJzXUKqqAqqAB0AFfi3/AMEavjzrEP7IreHvif8Atf6r4XtdG8SXFp4X0dvGtpYrFY7I5DtjlBcr58k2CeOoHAr9Wv2afFmseM/Dl3r1xrp1TTrlo5dO1ETiVJw6klo3HyshG0grxzxXh5VxPhcxxFPDQpSi2vLlVlfTy6LRdDr414WxPDXEGNwlWuqrpVJLnu7y13d/ta+8ruzvq9z0uiiivqj4oK/nb/Y48dftS6n/AMF4tI8R6+mrS+Obz4rXdr4tiuLQGWOw3yRXiMh4SKO0DgY4REXb0Ff0SV8eeEvgn8JdN/4KL3Hx3sfAOnx+MdR8bXlhe+IQjG4ltl0FwI+TtAwiDIAJ2jJr5jiOg6tbByUmv3sVp59flb8T9T8N+NcHwngM4oV8MqrxWHlCLdvdeqs7/YfNeSWrcY6dV9h0UUV9Oflh/NP+z58XPj/pf/BWv/hNvif8RdW8MeLdQ8e31p441ee7isp7SFpHS6jZ5RshVY1KAdFCqF6LX6RfH2x/Zj+IXgHxV8VfEfxot/Gninw74WkfQfElz4pt9S1PQZo3820ex8s/uJjeeTsKrvlkEcZLAhK+4PCHwj/Y70j9qTxR8SfBXh/wcnxcv9JiTxbPZXcTat9jKw7GnhDlo0YJB85Vd2EyTxXhn/BRH4G/CD4lfFzS/F/j34e6dqup+FPBz3nh27u42JsJzdE+YgBCk5RCNwOCoIxX5lmPDuJwOAqVXiW483wq9neSV3r8XV6b9T994j8S8BxPxVgMZTwssKqNCEXyJKT5U5csdYr2b0jFtu0fe5X8J9U/CW88Y6j8KvDOofEW2aHxBP4fspNdhaMIY7xoEMylRwpEhYYHAroKKK/TIrlikfg1aoqtWU0krtuy2V+i8kfnl+2P8T5/DHj/APaWv/iT8QbvRrzRvDdkPCHnvFG1tph0oNaz2aPxKX1OS8Tdg7pUWPnAWug+Cnx5s7620OG4/bFvNe8QahpMMd1ok/jmzuTJdNErSqkMQDFwwbAU8YNfWPxJ/Zh/Z/8AjB8R/C3xe+J3wn0jWvEvgqczeFtYvYC02nyFlfchBwcMqsu4HawyMHmu4W1tUbeltGCOhCCvjK3C2NrYutVjinBTk3ZX2fR6rbZeR9hj+IsprYDD06OH/eRjFTbUUk4wjBKLV21Llc5NpPmlaztzSpeEJtWuPCunT66hW8ezjNwGGDu2jOR2Pr71o0UV9jSg6dOMG72SV318z42UuaTdrXCsX4kaWNc+H2uaI+nLeLeaTcQSWrg4mV42Vk455BI4raopVYe1pShe10194QlySUux5j+zH4TbRND1jxFIJlbWdRSTbKMDEUKRArxnB2+/NenUUVz5fg1gMFTw6d+VWv3NMRWeIryqWtc+ff8Agpd4h17w5+zdb3Vnq91p+hz+NtDt/GuoWuB9n0V76NbkyOf9XA3yJK/G2J5CSBkj5csvjxo1j+1J8RPCc37Wl54V0ax0vRZGsLPxZZWEK6q6XC3IXzAWdxBHZbhn5SQOM1+i3inwx4e8beGdQ8G+LtGt9R0rVrGWz1LT7uMPFc28qFJI3U8FWViCPQ1z/wAFfgD8Gv2dfh9a/Cr4JfDrTfDnh+ylllttMsIjsV5HLuxLEszFieSSeg6ACvEzbIcVmOYxxFOu6aUbaXvv0s1o+uvQ+owGe5XheHp4SrQ5q13Z2jy2k4Nybfvc0eRxStZxm9Y8tp+S/sf6J4b8QeIoPiD4T8S/2xp9ppF5bw6tb3yXUV5JcXEUksjTJkSSF4WJIP3mbI6Y+iaRESNdkaBQOwGKWvVynLv7Lwaoc/O7t3el7u/n+Z83i8T9are0tbbT0CuX8E/C7SvBGvajrlldvK18xEcbIAIELbioPfnv6Ae5PUUV1VcLh69WFScbyhdxfa6szGFWpCEoxej3CiiiugzCiiigDyj9qPw2+uWmjzxaSZpEa4t47iNGZ4zMqLtGOPm2jqOqivRPBegp4V8HaT4Xjd2XTdMgtVaQgsRHGqZOOM8dq06K8+hgFQzCtiua7qKKt25Vb8ToqYhzw8KVvhv+IV8a/tV+NYtI/bN1qx+K/i6TS/Dlj8IYbnw4t9MkFoUe7uf7XnRmIDyosWnh852IyHgPz9lVwnxy/Zi+AH7S9votp8efhRpHimPw7qi6joqarAXFrcAY3DBGQRjKHKtgZBwKxzvLqma5fLDwlyttPy0ez/rc9Xh7MMBl+OlLGxbpyi4txSc46ppx5mle65Xqvdcj4Q/Zh+Nvh7xx8CvAbfFT9sK71bVrzSrGW78Pav41sVWa4DK0CPbIFYOGETCMYIcAEdRX3h+zt4Sbwn8OQsgmD6jqNzfukwwVMr5wBgcYAIz61232S1DbhbR5z12CpK4cqyCrl+MeIq4h1Hy8uq2V09232IzXNqWYzm6dFUoyk5Wjsr30Wi0V7eiCuf8Aip8K/h38bvh9qnwq+LPhGz17w7rVuIdU0m/QtFcIGDAHBBBDKrAgggqCCCK6Civo5RjOLjJXTPJo1quHqxq0pOMotNNOzTWqaa1TT1TWxg/Dr4X/AA9+EvgbSvhp8NvCFjo+g6JZJaaVplnCBHbwqOFGck+pJJJJJJJJNbqqqgKqgAdABS0URjGKSSskKrVqV6kqlSTlKTbbbu23q2292+rCiiimQFeL6X8PzdftOnWzpklsLDU5tUZoVOyZns3tQzE5zlZO2OU9iK9oorz8dgFjp0ZOVvZzU/W19DooYh0FNJX5k194UUUV6Bzn81f7O3xo/aL0L/grNN4w+I/xP1rwp4q1jxze2HxA1WS+jsZobYzMLqGRpPkiRVjACnhfLQLyq1+vHgCbwJ8atauvC2gfHqbxzqWoWyWtxM3ii31G5s7Yvg7REMRpliSWGM96+n/D37L37PnhT4363+0l4d+Euj2njrxHZLaa34mit/8ASbuECMbWOcDIhiyQAW2DJOK7qO3giO6KFFPqqgV8LT4QxWsZ4p8rlflSbT1vd6pX+T17n674ieJOXcZ5hhsThcEqPsqEKb23V72svgje0Vvbe17J9FFFfdH5EFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXj/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": "270/18=15", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "c17c42be4923effe41d5d35802023ce75c8649677571f738de5ea86498ae52a7"} +{"episode": 43579, "episode_seed": 881677948, "split": "train", "timestamp": "2025-10-28T03:46:55.510541", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 881677948, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 0, 3, 5])", "action": "('move', [6, 0, 3, 5])", "reward": 0.0, "image": 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", "info": {"equation": "68+98=166", "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": "68+98=166", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "c542d8d8815a0277e476dfd91f7f827c2ec1d7fd8a7fe637f6b6b7b7a3de9a14"} +{"episode": 43580, "episode_seed": 2984751846, "split": "train", "timestamp": "2025-10-28T03:46:55.586450", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 2984751846, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 1, 7])", "action": "('move', [7, 1, 1, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "7+11*5=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": "7+11*5=62", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "55462c15376df042a5be9d6261b2e0c9844aeca295d0c27b996bd7aed518f5de"} +{"episode": 43581, "episode_seed": 4181764551, "split": "train", "timestamp": "2025-10-28T03:46:55.644921", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 4181764551, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 8])", "action": "('move', [5, 5, 2, 8])", "reward": 0.0, "image": 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", 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", "info": {"equation": "11*3=33", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "11*3=33", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "18b9475a4a5dd402cd180eea4702f84c4207dff211989ae9eaa042ddd21ddf91"} +{"episode": 43582, "episode_seed": 585734002, "split": "train", "timestamp": "2025-10-28T03:46:55.736467", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 585734002, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 8])", "action": "('move', [0, 0, 5, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "13+17*9=166", "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+17*9=166", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "2efe4deaec6eaa71120361e7f569a17ec47cfe3810a6515aed877aa1cb1eaf71"} +{"episode": 43583, "episode_seed": 2475610234, "split": "train", "timestamp": "2025-10-28T03:46:55.811944", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 2475610234, "verbose": false, "save_verbose": false, "elicit_verbalization": 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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", 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", 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", "info": {"equation": "20*17=340", "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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C/vxJ/aA0D/gqtdatda7q2mjwtYaPcfDS5jzELaERRzefbkcE/bftGX67o9p4QAfop8M/il4P8ZxeGoPEv7VsvivXWtYJRoN/43s7sfb2t8SFIIsEuu6UADOATxXZ/wDBQH4JfCb4kfHfTPHnj3wDYarq/hTwpa3Hhy/vEZmsJWvpiXQZ2k5RCNwOCoIwa+w1tbVG3pbRgjoQgr8+/sKvmOZ4yEcRKC5ldbp8yvZ6rbb0P13izxAwGc8K5JgKWDUJ4Sk4Slp7zXKrxsr2fLzyv9uT9XzfwW8JHwP8LdG8MsZd0FsXYT43hpHaQg4AxguRj2rqKKK+9oUlQoxpr7KS+5WPyCcnObl3Plj9tjxPrOl/tTfCzRvEOuT2PhaXw/r1zZLI6x2lzrafZUjWRyRmRbOS+ZEJ5HmsAdhI+ev2p/iN8e3/AOCEfjrxT8OtV1a4E+talaafqkFsomm8JvrcsSygoOYWsiB5o+9Cd2cHdX1d/wAFDfhJ8Nfjf8NPCnw9+LXg6113RLrxxFJcadeFwjsmn3zIcoykEEA8Gjw94f0OD/gmveeE4NJgj0yP4W6hZx2Ece2JLcWk0YiCjooT5QB0FfJVcJOefYv32uaj919Pwtf5s/Rco4jyvK8HluIeGU6lCtCUk1HllGnOU9Hu3PnUZXVlyJ3le0Pg7/g1S1j4mS+A/i5oN9Fc/wDCGwavps+mSNABD/abxSrchXxkt5KWhZc8DYeN3P63186f8E7/AIQfDH4G+HfGXw9+EPgmy8P6LDr9vPHp1grbBJJZwl3JYlmJOOSTwAOgAr6Lr1eGoOGR0Fe+l/vbf4HF4l8RYbizjjGZrQpeyhUkrR0v7sYxu7ac0rc0rX1b1e4V85ftueKbL4e2914t0Oz+1auNNRLWwRU/0q9kkENpF8zKCzyuiYJHGOa+hdV1Oz0XTZ9W1CXZBbRNJK3ooGT9TXzA3hO//aX/AGgpzdwyrp3hiwbXGLOqq2oS+Zb6dEcodwjjS5kbBBDCE8544eKn9aoU8DTXNUm7pdlFNt/Pb5s+byleyqSrydoxVvm/6ueyfsm2Hg7Tv2bPBcfgS5M+ny6DDcfaZI1SW4uJR5lxLKqMwWZ5mlaQAnDswya9DrxH9jkat4YHif4eXYX+zk1iTVdEUOoNutyd91AUCKRi682UElsi4xkbcV7dXtZTi6WNy6nVp6JpadmtGvkzixdGVDEyhLuFFFFeicx/O3+3b46/alf/AILpahq1smqyeMtI+KGn2vgS1NoGYWSTR/YEijPytG8TK3o3mOzcs1f0SV8dfHz4J/CXxF+3hp3xt13wDYXfizQ9Y8K2mj67MrGa0he8G5U52jPmPzjPzHBr7Fr5jh6g6OKxl5N/vOvpf79fwP1PxH41wfFuW5PQoYZUXhcOqcmre89Fpb7C5bxT1TlL1ZRRRX05+WH4if8AB074h+K8n7Qfw48JanJer4HTwhLd6QhjxbS6o1zIl0dw+/IsItBg/dVxjG85/VL/AIJzax8Tdf8A2EvhPq/xihuU8Rz+B7A6iLyARSn90BGzqMYYxhCeAcnkA5rh/wDgpF8E/hN8c5PBXh34v+A7DxDY2C6rfWlpqCsUjuEigCyYUjOAzDByDnkGve/gr/yRzwlwP+RZsOg/6d46+Xy6g4cSYyXM3pDT1X6W09T9T4l41weceG+UZFTwyhPDSqOU9Nbv7PX3r3nfeUU9enTV5X+1H8KP2P8A4o2XheL9rnRPB93BY+I4n8J/8JbexQKdSYHZHCZHXzXcD/VfMH2jKnAx6pX4bf8AB0Z4o+Lo/as8A+GdTur+Lwba+DPtnhxQpWBtRa5lW7dWH3pFRLQHuoK4xu59HPMfDLsulWlDnV0rPbV9f63scPhXwpiOM+M6OXUcU8NJxnL2kb8y5YvSNmrt7PVe7zPpY/cX7Jahtwto8567BUlfm9+x3+0tfa58E/h94l+J37a+oXfi7UPD9o2raNqPjuyPm3Use3y3gAD7juHy53bsd6+//hPd65e+AdPufELSNcsjfPNneybjtLZ5ztx9a5cq4iw2b4l0aVOSsr3du6VtG+58pm+S1snr1KVScZck3C8XdOzauvJ20Oir84/+Dm3xJ8WNF/YW0TS/A8t7H4e1TxrbweMntEyjQLFJJAkzDlYzOiH0LqgPOAf0crkfjx4R+C/jv4Qa/wCFP2ibLRbjwTd2JHiKPxDcLFZCBWD7pZHZQgVlVg2RtKggggV6eZ4WWNy+pQjLlck1f/Py7+R6HA+e0uGeLsFmlWj7WNGpGThu3093+8r3j/eSPyD/AOCO3xv1G5/Y6n8IfFn9r7V/DFjpniC6sPDejDxzbaeItPMcbsEV/wB4F86SfDZGOQuAox9hfsHeCvhX8Lv20G8L/sx6Jpdh4Z1H4Ri58YW/hyKJ7NpYryBdHnllQk+dJDJqO1icyohclsbq+ufhX4Q+EPg34OaL4c+Bul6NB4QstFjXw2miOktp9k2ZjaJ1LCRWB3b8ndndk5zXzh/wS/8Agj8JPglfazafCbwDYaDHrfg7Q9Q1cWKtm6uWa6BkcsSSfQdBk4Aya+NoZNiMuzfBKpiHO/Nbey5Y7LV6PbpofW57xlhc6xuc42FGVJYiWlJW5W5Sa5qmq9+Hxq0ZfvHe8ba/X1eHf8FK/EfxY8I/sE/FbxJ8D3vU8T2fg66fTpdNj3XES4AmkjHUOsJkYEcgrkcgV7jSSRpKjRSoGVgQysMgj0Nfd16brUZU07XTV+11ufm+V4yOXZnQxcqamqc4ycXtLlknyvydrPyP54P+CF/xV1zwT8UvG3hvUfj3e+B/DF74fiuryS28QW2nrdX8c6pAC8wJYiOS5+Vfqegr7+0vwx8FtL+Pfwu+LvwI1yx8QfEPWPi7bRXXiqy1CDVNS1a1mj8vV0uJwSWhj08FiBhYRHDtC7vm+5vgT+zB+z7+zJ4ev/CnwD+E2j+FtO1TU31C/tdMt9qzXLKqlzuJP3VUADgAcAV87eEPgh8ItK/4KK3Hx0074fadF4w1DxteWF54gVG8+S2XQXAj5O1RhEGQATtGTX53U4exWWvCe0xDknUiuVXsm23da/otz9h4l8R8u4p4vx2cYehKjCdJpRVr1LQUbVrNLle8vj0SjbXmX2LRRRX6Sfh5+b/wB+Jvju5f4LMni2/ufiPq3xenTxpps0cTXZn33o1uG4hPMMVvFI+MAeWq22Pvpu+G/wDg4g8XfHR/+Cn4sNRm1RLLRdF0l/hxGsB2hGjSR5IAB+8Y3omUtgktGF6Kor9Pvhz8EfhNon/BQe6+OWl+AbCDxfq/jTVbLUvECqxuJ7ddLlCxnJIUYjj+6BnaM5pP+CinwT+E3xP+Lul+MfiD4CsNX1Pwp4Ne78OXl4rM1hObonzEAIUnKIfmBwVBFfmNTBzjw/iI+0fu1/vs1H8b39Uj994R8Qcj4Y43hmccFzwnQqJxtFOM6j57R6ckbezT0bhKT5VfkPqj4VXni/UPhf4b1D4g27Q6/PoFnJrkTxhCl40CGZSo4UiQsMDgVv0UV+mxXLFI/Bqs1Vqymkldt2Wyv0Xkj88v2x/ifP4Y8f8A7S1/8SfiDd6NeaN4bsh4Q894o2ttMOlBrWezR+JS+pyXibsHdKix84C10HwU+PNnfW2hw3H7Yt5r3iDUNJhjutEn8c2dyZLpolaVUhiAYuGDYCnjBr6x+JP7MP7P/wAYPiP4W+L3xO+E+ka14l8FTmbwtrF7AWm0+Qsr7kIODhlVl3A7WGRg813C2tqjb0towR0IQV8ZW4WxtbF1qscU4Kcm7K+z6PVbbLyPsMfxFlNbAYenRw/7yMYqbaiknGEYJRau2pcrnJtJ80rWduaVLwhNq1x4V06fXUK3j2cZuAwwd20ZyOx9fetGiivsaUHTpxg3eySu+vmfGylzSbta58r/ALbHijWdL/am+FmjeIdcnsfC0vh/XrmyWR1jtLnXE+yrGkjkjMi2cl8yJ3HmsAdhK/N/7PXx38DeKvhhqNp40/bQul0mTxRrlppui3njewtrebR1v547eMwgA+U0AAHILIQc85r9Bvjr+z58F/2mvAMnwu+PXw70/wAT6BJdRXLabqSMUE0ZJSRSpDKwyRkEcMR0JB6TRvDXh7w7o9p4f0HRLWzsbC2jtrK0t4FSOCFFCpGqgYVVUAADoBXymP4bxeMzKpiYYlwUklZXvorW3WnX5s+v/t/Ko5BRwqw960XZtqPLZOck09W5S50pJpWUE05c1oeffsweFxpWgav4oDSf8TzUI5l3Y2FY4I4gyccg7evPtXp9AAAwBRX0WX4NYDBU8OnflVr9z5TEVniK8qlrXKmvaNaeIdFutDvs+VdQNG5XqMjqPcdazvh94HtPAHh8aHbXbXDNK0s07Jt3scDpzgYAH4VuUVpLC4eWJWIcffSaT8mSqtRU3TT0etjmPB/wu0rwd4l1HxJZ3jyNfEiOJkAEKltzKD3+b9APrXT0UUYbC4fB0vZ0Y8sbt2827sKtWpWlzTd2FFFFdBmeLfEb4fHxH+0Hp0o0ySISXmm3sl1Ap/eizlWZSxORgMu04xww7kGvaaKK8/A4BYKpWmpX9pJy9LpaHRXxDrxgrW5VYKKKK9A5zyj9qPw2+uWmjzxaSZpEa4t47iNGZ4zMqLtGOPm2jqOqivRPBegp4V8HaT4Xjd2XTdMgtVaQgsRHGqZOOM8dq06K8+hgFQzCtiua7qKKt25Vb8ToqYhzw8KVvhv+IVwnxx/Zj+AP7S1votp8efhTpHimPw7qi6joqarAXFrcgY3rgjIIxlTlWwMg4Fd3RXbOEKkXGaTXZ6iwuKxWCrqvh6jhNbSi3Frpo1ZrTQj+yWobcLaPOeuwVJRRVmAV+cf/AAc2+JPixov7C2iaX4HlvY/D2qeNbeDxk9omUaBYpJIEmYcrGZ0Q+hdUB5wD+jlc/wDFT4V/Dv43fD7VPhV8WfCNnr3h3WrcQ6ppN+haK4QMGAOCCCGVWBBBBUEEEVw5lhJ47AVKEZcrkrX/AK6dH5H1HBWf4fhbizB5tXpe1hRmpOOmqXVX05lvG/2kj8ef+CNnx41dP2Q38N/FH9r/AFXwva6P4juLPwxo7eNbSxWKw8uOQ7I5QX2+fJNgnjqBwBX6c/sgeF9EjivfHPhu4WXTbrR7Gw0yW2lWS3lt4jK6NG4zvGJR8wJBGK9P+HXwv+Hvwl8DaV8NPht4QsdH0HRLJLTStMs4QI7eFRwozkn1JJJJJJJJJrdVVUBVUADoAK8HLOGq+CxdKvVxDnyJ2jZ2V1bS7eny6I7eMuKsNxNnuNx2Hw6pRr1HKyte1762XxPeXm2LRRRX1h8UFeL6X8PzdftOnWzpklsLDU5tUZoVOyZns3tQzE5zlZO2OU9iK9oorz8dgFjp0ZOVvZzU/W19DooYh0FNJX5k194UUUV6Bzn5VXHxv1bQPhD8L9Y8UfHS/wDDnj3Vfi1JD4zu5dStrS9gvDPdjWYJvNyLeOGN3UYA2KLcD767vefAE3gT41a1deFtA+PU3jnUtQtktbiZvFFvqNzZ2xfB2iIYjTLEksMZ719P+Hv2Xf2e/Cnxw1r9pPw78JNGtPHXiKyW01rxNFb/AOk3cIEY2sc4GfJiyQAW2LknFd1HbwRHdFCin1VQK+Fp8H4qzjUxT5XK9knZ63u9d36PXufb55xLleNrqpgsPy35m21FNSm23GPLf3IfDHZtXdo35U+iiivuj4gKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACvH/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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", "info": {"equation": "20*17=340", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "484cdd9e5adae1f431ebf0f0b9e7fc25c8954d250d05fc65ee9362ab699cd5cc"} +{"episode": 43584, "episode_seed": 4011453232, "split": "train", "timestamp": "2025-10-28T03:46:55.880128", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 4011453232, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 7, 4])", "action": "('move', [0, 5, 7, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "30+38=68", "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+38=68", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "01e60fe649bdf4902edd7eb0ada6dabcd0acacfba359e35ac5f327b7dde08685"} +{"episode": 43585, "episode_seed": 3398008539, "split": "train", "timestamp": "2025-10-28T03:46:55.951537", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 3398008539, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 6, 2, 7])", "action": "('move', [4, 6, 2, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "14+20*2=54", "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": "14+20*2=54", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "f72fe40e6e82f6cfa9c9d11e40d9e0610b47bab6062a2f11c13486df66643f72"} +{"episode": 43586, "episode_seed": 2980556222, "split": "train", "timestamp": "2025-10-28T03:46:56.020101", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 2980556222, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 4, 0, 1])", "action": "('move', [3, 4, 0, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "92-55=37", "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": "92-55=37", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "9f89cfb84bdedc9a2001ace60255ffc48e96fa63d029b744830348da6642cd7e"} +{"episode": 43587, "episode_seed": 3388009995, "split": "train", "timestamp": "2025-10-28T03:46:56.085282", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 3388009995, "verbose": false, "save_verbose": false, "elicit_verbalization": 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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O6aZqLIcoykEMAeDXWfsQ+H9E8KfszaB4X8M6VBYadpt5qlrYWVrGFjghj1K6VI1A6AKAB9K+Sw2HcOL60+Z6007fNK3ppc/Xs048wOO8IcHw1HCKNSlWcnU0s17zuuvO+bllfSy63tH1ivDv+ClXib4xeDf2Dfin4n+AT3yeLLLwnPJpkumRb7mFcqJpIh13rCZWBHzAqCOQK9xoIDAqwBBHINfUV6brUZU07XTV1urrf5H5fleMjl2Z0MXKmqipzjJxltLlknyvydrPyZ/NL/wRv8ffEzSP2y/D/gLw74nvIfDmv3pn8Uaak48m8Nvb3DWzurfeZJXypX5hub+HdX7J/szfEHVP+Eu1vwR4R+Ib3uoWnji9mufDqamkhsUkuCAGhX5oo3GX+bglmYH06r4n/so/s5fsw+BYm+AHwf0bwofEfxB0+71s6TblPtUoE20nJOFXe+1BhV3NgDJr0f8AY6jQfCi8kCDcfF2s5bHJ/wBOmr82wnDuJo5vHCOu01DmvG+3P8K1Xr69D9W8TOPsv44zqecYXC+zg1GFpW5m4x+KVrq+vKtfhjHXoerUUUV+nH42fml/wc9eKPjLon7HXhXQ/A8t/F4T1fxb5XjaSzj/AHbhI/MtIpmHKxmVWYD7peNM8hQfl7/gh78adV0T4FeK/CHjj9qPUPBeh6dr8TeHdNi8V2mnI7yxu90wWUb358nJ6AnjnNfrZ+3p4J8KfEj9mTVvAXjrQYdU0bVtb0S31LT7nPl3ETataZVtpBx9CDWJ/wAE+Phn8P8A4WfCjxB8P/h34QsdH0XTPGM8dhp1nFiOFTaWjHGckkszEkkkkkk18LmmWV8bxNy068oN073XSztZarR7+p+y4TxBy+h4QPhqWCUqnt+bn0ta/NzbX9p/y72t7Pr0PlPSfC/wb8C/Gr4S/EX9mHUrK98d+IvixBb3niDRL6LUL/xFp9xKW137bMGY3EKW4eZ2bIhkih27CQD+lNfEXwT+AXwX8K/tyw/G/wAO/DfTbTxdrfxL8T2+qa/GjGeeIR6qNnJIUfuo87QM7BnNfbtd3CNCVDCVk5N2qSWvlbX59T4ri3NKeY/VYRlKbhT1lP4m5NvlWsvch9m7u25StG/KivwV/wCDm/xR8ZL/APbb0Twl4wlv18HWHhGCbwdBJHttXklY/bJEI4eQyIisTyAkY4GM/vVXkX7Wnwh/Yq+K+neGov2zdD8FXdtY61nwsfGV/FbL9tcD91CZHTzGcKMxchtoypwMenn2XTzPLnQjPld07vbTo/63se14TcY4bgbjKnmdfDOvHlnHlik5rmXxQv10s9vdcj4C/Y++MGhfEj9iLwdoP7Rn7ZV9Hcan4Xaz13w7d/EGzs42st0kUdvJGu140a2EakbgxDHJBJr3b9hHwn4D+Gn7dev+Df2c/D+naZ4VvfhVb3fjrT/DtnCthBqSXcSaS7GP/Vzy2j3x2jG+ONJCCSGb6r/aN0vTZf2dvHlrJp8JjbwVqiMnljBX7JKMfTFeIf8ABOP4F/B/4AeJ/G3hL4L/AA+0/wAOaddaNod3c2unq2JZ2k1JTIzOWZjtVRyeAOK+YpZRiMv4gwsamIlUupPW+lltq3oyKvFGGxmBzOtGm6arydqUbeyXPK93qtaenIlHdJ8y5bP6oooor9APzg8f1T4N/sSXn7Xtl8U9X8PeCG+NSaPmxnmvoRrJsxG8Xmrbl9zKI/MTzdhIUFd2BgeuLa2qMGS2jBHQhBX8xf7SPxj/AGqdB/4KheKfid4g8X61o3xJ074izwWt+8i289kiymCCNN3yJELcoig/IYzzlSSf2c8E/HTwmfE0dhoP7Z114hu7wNb2+k3Hj2zuvOZv7kcYDl+ONpz1r4WHGWDoSqxlQafM9ra+ctrPvuftHiL4aZhwtQyydXHrEKtRTV23yWs+WGr/AHfve49L+9oj7corF+Hlzrd54J0268RB/tj24MxkGGPJwWB6EjBPvW1X2tCqq9CNRK3Mk7PdXV9T8aqQ9nNx7Ox5L+3l4g+LnhX9jL4m+JPgOLz/AIS+y8GX02gtp0PmXCTiIndEvd1G4rgE5AwCcCv5/P8Agjz8UfGHgj9s23+z/GO98IaRrWj3sfivV4dZhszLCsTSxq804IGblYenzEn0Jr+l2viH/gm/+z/8FfhH8V9O8RfDb4a6Zo9/4m+HV1d6/d20bGS9m+0aa25y5OPmkc4GBljxXyHEuCqYvNcJGFVwcuZJrpZXutVq9j9f4F4+wHDfAmc5RWwaqzxKjyydrK65fevr7nxwte077bnlnxq8I/sX/GLwf4t8d/GH4qaT49u9O8JyRT+Ida8UW2p3miWiszxm12nFu3nlSpVQ0khVCWBC194/sn6v8Ttf/Zf+HeufGuC5i8YXngnTJvFEd7bCGZb9rWMziSMABH8wtlQBg5FfMv8AwUj/AGf/AIKfFj4rXHin4k/DTTNa1Dwv8NJLrQLi9jY/YpvOum3qoIVjujQ/MCPlHFfatiS1lCzEkmJck/Snw3g6mDzXGU51HNx5E2+t03d6vVbbnyOd5xSxfDmEwy5m1KUvetaml7qhT1btLRz0jqopR927lr86v+DmHxP8YtA/YP0zTvh7LfxeHtV8YW9t43lso8qbTy3eFJmHKxtcLF7Fgik8gH9Fa8i/br8JeG/Hn7LviHwV4x0eLUNK1W80q11GxnzsnhfU7VXQ4IOCCRwQa+hzmk62VV4J291/gr/jscnBGeUeG+LsFmdakqsaVSMnF9VfpfTmW8f7yR+P3/BDP4za14e+Fvjbwb4y/acv/BXh2z1i1n0Gwh8U2mnJLcyxyfanAlBZztjtsn7o7ck19WX/AIY+DPg74ifDv4sfs06zZap8Sdc+LtjFH4n0jUYtR1PX47i5jGtR3UwZjPAth50kin5IBFGyiPjP1h/wT0+FPw3+EPw28V/D34ZeC7DRdE0/xq32PTrOLCR79N092OWJJJZmJJJOTXkXgD4B/BnRP28I/j1pPw402DxlqPxS1a0vfEKoxuJIBZXq7OW2qNsaAlQCQvJ5Ofz2nlWIp4bA15V5NTnBKOvu37a9PRH6HnPHWBzfjTM81p0ZUoTUmoRtapaKio1dUuWesqlue7bSWvMvt+iiiv1Q/EwrC+KGjr4h+HGu6BJpiXqX2kz28to4OJkeMqy8cnKkjit2is61P2tKUL2umr+pUJck1LseTfsweDZNKl17xtMJ1bVvstsFkXClbfzjuXjPWZgT0+Xtg16zRRXLluCWXYGGGUr8q32vrc1xNd4mvKo1a4UUUV3GB5x+0xo/9qeEdOu20tbgafqwuUlwS1u5hli3jHqsrqSePnrY+BHg5vAfwr0zw6/nBt9zdOs4AdWuLiS4KkADGDKQB1AHPNdfRXm08uUM1njeZtyio27Wd/6+Z0yxLlhVQts73CiiivSOY4H9o7RV1n4eoz6WtyLPUoboMQSYCm7Egx6Zxzxgmpv2d/B7eDPhlDZOJg97qF5fyJOMMpnneXGMDA+bjPOK7jr1orzY5clmzx3Nq4clvne9zpeJbwioW63v8rBRRRXpHMfLn/BRvxP4i0Pxp8GNM1HWrrT/AATf+NrkeI7iMqlvLfx2byaXBcyEjZG1wCyjIDzRwrySqt83+Afj9oS/tEfFvw6/7YN74c0DTdW0tNPsbXxfY2MC6gbIC/SPeC0m0pbhiSdshdOCrAfon8VPhV8Ovjf8PtU+FXxZ8IWWveHdagEOp6TqEe6K4QMGGcYIIZVYEEEFQQQQDUPwp+Dfwt+B3w+034VfCXwNp+g+HtHiaPTdKsIcRQKzs7YzkklmZiSSSWJJJNfJ5lw7i8dmjxVPEOmnFLS915LVaPfffofZ4fiDKKPDqws8PzV0uS9o8vL7T2ntL/F7T/l3a1uT7X2TwP8AZY0Hwr438YaD4t8GeLv7esNFv72/k1q11KO8W6upYbiKVpZkyrOzXMjEDB3DoACK+oqRI44l2xoFHooxS162T5X/AGThXRc3NuTk21bV28327ny+MxX1uqp8trK1gr8Fv+Dm7xT8Zb79tzRPCfi+a/TwdYeEYJ/BsDx7bVpJGP2uVCOHk8xEVifmASMcDGf3prz74+/sp/s6ftS2mj2P7Qnwh0fxZFoF8bvR01aAt9mlIAYrgjKsFXcpyrbVyDgVOe5bVzXL3h6c+V3T8nbo/wCt0j7zwr42wPAHF9PNsXQ9tBRnGytzR5l8Ub6X6PVe65H55/saftAr4/8A2QfBl1+0R+21qX9s6loLR67o+qfECyhEkBkkRIpYj84DW4jDBjuIYknJNfdv7K3haGCfW/iDbO7Q6vZ2NrbMpBieKA3Dq6ED5gftJGckHAx0OfW1sbFFCJZxAAYAEYwBUoAAwBgDsK87L+HK2Dx0MTVxMqnImkmu6t1k/wCrHzWdZ7SzbFYirTw8aSqzlPljtG8nLlWi0Wy8gooor6k+dPO7/wDZM/Zu1P8AaAt/2qNQ+DmizfEK1s/stv4qe3JuUi8tovXaW8tmTeRu2nbnAAr0BbW1RgyW0YI6EIKkoqIU6dO/Kkru7t1fd+Z04jGYvFqCr1JT5IqMeZt8sVtFX2iruyWiCiiirOY8o/bp174peF/2O/iT4h+Cr36eKLPwjeS6RLpUHm3UTiM7pIUwd0qpuZQATuAwCcCvh3x98ZvAngv4nfA/w98Lf2kX8OaTfaLqS3t7pfiK0h8/QVsEMMss8u7bm7htVUg5dhKOdrY/TmvOvgp+yR+zV+zlrHiHxB8Dvgzofhm88V3guvEE+mW203kgZ2XOSQqhpHIRcKNxwBXzWdZHic0xdKrSrOHImut1fqrNa9HqtD7DJM9yrL8pq0MTQ56nvuGkbSc4KHvt6pU7c8LKXvXXu35l8xeD5fAXxoutV8K+HfjpJ451XVtM+wXNwfE9vqN1a2r71AURDCIGkZslcZPJ7V9wQRCGBIQchEC8+wpI7eCI7ooUU+qqBT66cmyaeVSqynVdSU7XbXa/m77nzuNxqxailDlUb7ef3BXzF/wUo8S6/oA+E1re63dab4MvfiREnjC7iISAslpPLp8VzISPLhe+S3HJAZxGpPzAH6drD+JXw18B/GLwHqvww+J/hW01vw/rdm1rqulX8e6K4ibqpHUHIBBGCCAQQQDXfmWFnjsDUoRlyuStf+unfyN8kx2Hy7NKdevDmgrprRu0ouN4305o35o305kj87PDPx80a1/ak+KfhNv2ur3wxoGmpovl2Fp4ssrCBNXa3lS9RS4LSMsUNkHBJ2OWXgggfQ37MOh+EfiB4v0PxH4M8b/8JFaaPrFzqN1rdtqkV79pumgnifzpkypc/aCSBg8DtXv3wf8Agd8I/gB8PbD4UfBrwBp3h7w7pnmfYdKsIcRxF3aRz82SxZ2ZiSSSTXUxxxxLtijVR6KMV8xg+FMRQqUZ1cS5Km1Lls7XXRXenrbY9TOM8wOKxNT6nQ5YOKim7KTUYqPNJK6UpW5pJSdm93u3UUUV9ofLBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAVyHx8+O/wr/Zi+DfiH4+/G3xVFonhXwtpzXus6lKjP5UYIACqoLO7MVRUUEszKACTXX18m/wDBb34K/E/48/8ABNnxx4O+D3hK88Q65p+p6Fr0Xh3To99xqkGm6xZ309tEn8cjQ28m1OrMFUcmgD2T9kv9rz4H/tr/AAoPxh+A2u3t1psGrXOl6nZatpU1hfaZf27BZrW6tp1WSCVcqSjAHDqehFenV8Xf8EbfC3j/AFCD9oL9pfxX8NfEng/R/jH8e9R8TeDdA8XaRJp+ojTBY2VolzPayYe3eWS2kbY4DbQpPUV9o0AFFFFAHjf7ZX7eP7Of7BvhfQPFv7ROv6nZWviXXYtJ0ldK0O4vne4kZVBcQowijBdAXchcuo5JAr2Svhj/AIOEfFmpWv8AwT/ufhr4a+FnjrxXrXifxfoLabY+CPBd7rDxrZavZXs7zC1jcwr5MEhVmwGYBRya+yvhj8QNK+K/w50P4m6FpWrWFl4g0qDULSy17SpbG9gjljDqk9vMFkglAOGjcBlIIIBFAG7RRRQAV4F8Sv8Agpf+yb8Iv2rNC/Y5+IXinWtO8WeItRttN029m8LXv9kNqNzCZrewbUfK+zC6kjAZYt+7BGcZr32vzj/bu+Nd/wDGr/gq58If2Ufin8Ffilb/AAr+GHiTSfFy+IfD3wy1PUrHxN4ukOzTYXvYIWhtLGyE5nnlduZMI21Y2agD9HKKKKACiiigDwL9nb/gpZ+yr+1B8fvEX7M3wx13xDF4u8OaY+pvY+IfCN9pialp6XJtWvbKS5iRbu3Ew2ebHlSSMZHNe+1+av7B2leKfiB/wWk+In7Sfwx+Cnxp0DwVrHwomsPiBd/GvR7mH7F4iGriWCw0Z7osVtBEZ3aO2Y22dhXtX6VUAFFFFAEd1dW1jayXt7cJFDDGXllkYBUUDJYk9ABzmvKf2Mf22v2e/wBvv4Qz/HT9mbxRc6z4Zg1+80cahc6fJbebcWzKshRZACyfMCrjgg1if8FL/h/+0L8WP2HfiB8Lv2XNEh1Lxh4j0yLTbfT5tcTTDc2U1zFHfxJdurLbyNZtcqkhVtrMp2kjFfPX/Bvl4K+Pfw2/Z++Lngf42/srv8KIIfj/AOKLrw9obaoblPs811looCYIvMtoSqxxXKgpcIBIoUcUAffVFFFABXjX7Yn7dPwV/Yh03wve/F3SPF+p3PjLWpdK8OaR4I8IXet315cx20ly6rb2iPIQsMUjkgcBSe1ey18O/wDBcjwR8NPE/wAGfCviLxz4J/aAv9Y8PXmq3ngXWP2fLW7fUdL1t9Olt4Gnez/fxRyCZ0DD92fmEhCnBAPszwD4y074ieBtG+IGkadqVnaa5pVvf21prGnSWd3DHNGsipPBKBJDKAwDRuAysCCAQa1q8k/YJT9oSP8AYo+FKftYNcH4lDwFpf8Awm5vCpn/ALS+zJ53m7fl83dnfjjfur1ugAooooA8R+Nn/BQz9mL4BftDeGf2W/HXiPWJ/GfieCC5j07QvDV5qKaXaz3H2aC6v5beN0sYJJ8xrJKVUsDzgZr26vx5/wCCiPwC/bI8F/8ABY3VPjV+z/pXxhXXPiAPh2nw41fwOLn/AIRnyrDUXi12219o/wBysSWTyyok/wAp+0MUy/T9hqACiiigAr5r+Bf/AAVU/Zo+P37Tzfsg+HPC3xJ0PxudJvdTt7Lxp8NtS0eG6s7SVYpp4pbqJFkj3uoDLkEsMHmvpSvjz9k3wF45+Kv/AAVN/aJ/a/8AiD4M1fTNL8M6bo/wu+GcusadLb/arG2j/tHVLqDzFHmQy3tyiLKmVf7KcE4oA+w6KKKAP//Z", 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", 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", "info": {"equation": "17+69=86", "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+69=86", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "df5d9bff1fb97d75c166fe0737ed02b064dd34e8e2b32550c526797c69dd1aae"} +{"episode": 43588, "episode_seed": 3183806500, "split": "train", "timestamp": "2025-10-28T03:46:56.138340", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 3183806500, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 8])", "action": "('move', [0, 4, 1, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "9*8=72", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "9*8=72", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "a83606a0aba0f2a31e17366163ccb5b9cdde59c448feaf6e9795fa48382f8f66"} +{"episode": 43589, "episode_seed": 3170535001, "split": "train", "timestamp": "2025-10-28T03:46:56.192351", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 3170535001, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 4])", "action": "('move', [5, 1, 2, 4])", "reward": 0.0, "image": 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ahc3vwc8O+KLO2+FtyXEtnCzW7NqVrYz7mM1rFcbQhBZVLOAxO4Lrf8FHPgD8GPj78UPhp4Q+Mnw60/xBplto3iG7gs7zeqpOsmloHBjZTna7jrj5unSvQf8Agnh4S8MeAvgDd+CfBWg2ul6RpPjXW7XTdOsogkVvCt7IFRQOg/UkknJJNaZPgKuE4rnTnVc3GF239q6Ss9Xtfv0R+fYjPqD4MlhbzlKo1FQlb2dJRnz81P3m+d2cfhglGdRXlzHutFFFfoZ+eBXL/GGz8P3XgG9bxC+xIlDW8qoGdZei7QepJ4+hNdO7pGhkkcKqjLMxwAPWvm39qb4/2Ft4fuvENhpt7f6fpEQNpp1rFmfUrx2EcUMQAJ3ySOkSdsvnpXg8RZhQwWXShNKUqicYx7t6fcr/AJLqd+XYepXxKa0UdW+x4P8AtDfEPwtceItJ+DHiaW6j8OXl1ZXPxQ1SyWJhpehS3HkhZS80ZiW4mCxu4DFLcXD4+UGv0D0rTdL0bS7bSNEsLe0srS3SGztbSJY4oYlUKiIqgBVCgAAcAAAV8vaB+yJffDH4MTeIvH8dtq3ijxPI158SWYpNBPNLEsQt48RoGt4YlWBQVGUXcQSzE9v+w7qHirwx8P3+CPi/UDfReFz5HhbVZLlHludJBK28MoCIRNAgWJjhg6hH3lmcL4PDLeT4uWX4mKjOaUk++m3y1+aZ6GZpYyisRSd4q6a7ef8AXke5UUUV94eAFfzL/wDBZXxp+0L4t/4KI/Ea0/aFm1NZtI8QXVl4TtL+Hy44NCWeQ2JgUfL5bwlZNw++zszfMTj+mivBf2x/gT/wTq+Kev8AhvWf23tC+HkmpwpNB4ZuPGesQ2U0yb0aSKMvLGZ1DMh2fMFMnQbzn5/iPKqma4JQjUULO+uz6a/ofr3gxx7hOAOJqmKxGDliFUg4rkSdSP2rwv0drSV1prfSz/PT/glL+0P4j1L9jfRrX4z/ALZeq+HJtMvpdP8ADuknxrY2Pk6TBHFHABE67woYSqC3JCjqME+qeOfhX+wV4w8JeM/ir8QvFHhzxNcSxx3Pif4g6l4kgv8AVLOVAfszpeB91tIhVRDHGUDFUTa3Sv0os9H0jTrOHT9P0q2gt7eJYoIIYFVI0UYVVUDAAAAAHAAr89v2xP2Vf2c/ij8dPjV8WPiJ8HtG1nxFo0cS6Zqd9E7NAIvD1nLGNm7Y212ZhuU8n6V8dn+R4rLsvjUqYmVRXSSd7LR6r3ntY58HxbhM04txOYRhLCQqylO1C1/iUlDeCtezctbSSag9j6n/AOCc3if44eM/2I/h14n/AGjRqP8AwmF5oZfU5NXtRDdzR+dILaWdBjbK9uIXbIDbmJYAkge11kfD5mbwFobMxJOkWxJJ6/ulrXr9Lw9N0qEINt2SV3u7Ld+bPzfM8XHMMyrYqNNU1UnKShH4Y8zb5Y+Ub2XkgrmvjJ4S+FHjn4VeIPCvx00zSLzwfd6VMPEcOvMi2YtApaR5WcgRqoXfvyNhUMCCAR0tfl3/AMHQnjX9obw7+zz4F8N/D6bVIPAGtatex+P57GH9086fZmsIJ5ByqMftLBT8rNGueVUVy5pjI4DL6leUeZRW3e+n3a6+R9BwHw7W4s4vweVUq6oSqT0qN25eVOV1t73u2grq8rK63Puj9kD4RfsXfC/4dXll+xTongyPw1eao0l/ceDtQivYZrtUQEPMjybnVNnylvlBHAzz6wtpaqwZbaMEdCEFfzef8EYfjd8Tfh/+0jJ4B07486p4L8EavYXF34ra216CxgeSGBxbOXnyofzXRfl+ZgcHKg4/WrwN8ffCMHiGOy0b9tCfxBd36m1t9Lu/HtndeczkYCRxgMZOMDbzya+Tw3GmBp4ZJ0JRa6RS5flqvyPrvE7w9x/CnF1TCVcb9ZclGfPJtzfNpad7+8rd3ePK9L2X27RXHfA/UPFOpeCxP4naVyJiLSW4zvkiwME56jrg9xzzXY19ngsVHG4WFdJpSV7Pc/KK1J0arg3ewVxP7SmqfFDQ/wBnbx5rXwQspLnxnaeDdTm8JW8VusrS6mtrI1soRvlcmUIAp4OcGu2oreceeDje1+pWFrLD4mFVxUlFp8r1Ts72fk9n5H8kMfxZ+Nnh/wCNzfGX/hNtdtfH9tr7ahJrsk7rqCaiJCzSMzfN5m/IIPuCMcV+5Pw/+OOjeIPhToX/AAsz9vjVoNbvvDlp/wAJFbx/E6whaO7e3T7Qo8sDyyJC4+U/Ljg8A19K2f7PX/BNuL9seb4jWPhX4bj43faGvJo01OA6usxtgWnNn5mRIYTvMnl7iG35ySx98+x2f/PrH/37FfBYThLG01Plxjjq/hvr6+8te619T938V/FfLuN44CNHLXRdKF7zsn71vdhZfw1a8Xpf+WNtfyi+OPwv/Z/+DXg7wD4//Yn8K+HrP4oW3iu0X4UXPhCOC6vdZmkuVS9jdtzG8gMDz+dI5YRjq8YJr9Ya/Nb9kX9lr9nf4Z+Lfgx8ZfAfwi0jTPFWsa5ZNqWuwo7TymfTruSYguxCb25OwLnp04r9Ka6eCKThgq0uZv37W6aJa+rvr6I/PuN85pZjHDUIynUdNSk6lS3PJzafJ8U/cg4txvJtynOVlzWCiiivtj4I/n4/4OQfGn7Quq/t93fgv4mS6nH4I0rSbST4c200Oy0kgltYTdzREcSOboSozH5gI0XoFz3/APwRK+PPiuy+A3iHwV8R/wBqvUvB/hzQ9Wij8IaYniuz05My+dNdlVlG9x5jxnJ4BcgHqB+iv/BSD4D/AAe/aD+KHw08IfGr4f2XiLTLXRvEN3b2d8XCxzrJpaBwUZTna7Drjnp0ru/+Cengrwh4H+Al54M8H+GrLTdJ0rxrrdrp2n2kAWK3hS9kCoo9B+ZOSckk1+azyqviuKa9GnXlB25uZb2fL7u60V9PRH9C5z4q5VmHhDg+Hll8VUp8kXL3eVcl/wB5HRv2lS3v3S+KerufL2q/Dr9iz406/rHjb4n+MvDHxM1RNBaDVNX8X+KLbVJNO0teWCncFs4QSWMqBCGZjvBNe4/8EetU8aX/AOyLLp+sSahN4V0rxlqmn/Cy81O0WKW68LxOi2LjAG+MfvVjcj5o0QjK7WPI/tsfsvfs9/tCftgJJ8a/hNpXiM6P8PtJOm/b1cCDzNQ1PfgIyhg3lpkNkfL9a+gf2Hre3s/2Rfh7Z2dvHDDD4Zt44YYkCpGijCqqjgAAAADgAV1cO4KpheI8RCVRycFq39q9nrq9j88zbPaNbhClhLznKcou07clJQ5klS95t8yfvO0EkrcstGvVaKKK/QD89Pib9szxh4ntP+Cingfwr8SvEN5p3gZPh/Jd+A4Z2WHT9R8UPdTW90jSEjzblLJ4RFESTieUqpJYjxG0/aE06z/bz8ZeDdC/ayuvDfhODwTZzeIIdP8AFFjZW0fiFZxAsSyOCzyC1jxIgJ2MmGCnAP6MfHH4BfBr9pX4fz/Cz47/AA703xPoFxcRTyabqcRZRLG25JFYEMjDkblIOGYdGILvg18B/g5+z18PrP4V/BX4daZ4c8P2LyPbaZp0GEV3Ys7knLMxJJLMSenPAr43G8MYzFZtPFQxDgmul+ZeS1Wnz8rdT7+nxPkUMjjSlhnKuoeztaPs7Xv7W/xe0eq5eX4nz89vcPkTwh46+F3i/wAZW0tr+0injfW4rSeHTIL/AMY2t/NbxOUecQxxYIDeTGWODxEOmDn6q/Zt+H7/AA7+G72EouFl1LWb7VJo7kANG9xO0pXGBgDdwDz613aW1tG26O3RT6hAKfXblPD88txssVUrupJq2q9Ot3fZWPk8XmKxNBUowUUnfT/hkFFFFfSnmDZoYriF7edAySKVdT3BGCK4jwd8C9D8IeJ/+Ejj1Sa4ERJs4JIwPKJBBJI+8eeOBj3ruaK5MRgMHi6tOrVgnKDvF9n/AF3NqeIrUoSjB2Utyrrmj2fiDSLnRL9SYbqFo5MdQCOo9x1rmPh18HtL+H+pT6umqSXk8imOJnjCiOMkHHBOTxyeB7Cuxooq4DB18TDEVIJzhs+39eewQr1qdJ04vR7oKKKK6zEK/mX/AOCy3jT9oXxd/wAFEPiNZ/tDTams2keIbqz8J2eoQ+XHBoSzubEwKPl8t4Ssm4ffZ2ZvmJx/TRXlf7Qv7EH7Jv7V2s6V4h/aJ+BOheK7/RIni0y71KFvMijZgxjLIyl03DIVsgEtgDc2fB4hyitnGEVKnPlad9dn62/A/WfB/wARMt8OOIqmOxuGdaE4OF4254a3vHmsrO1pK601vpZ/mr/wS2/aZ8a+Kv2RdLuvj/8Att65o+oWeozWOh2V346s7R10uGOKODKSAyEBhKoZ/mIUdRgn6g8F2PgT4vaN4h8MeBPiaPGF54gV4Nd1e11yHUbt3mt/s6tI8WVUrDGqrlQNsXQ4Jr7Vs9G0jTrOHTtP0q2gt7eJYoIIYFVI0UYVVUDAAAAAHAAqeOGGLPlRKueu1cV4s+D8TWgoVcZKUVbRptadry+4+YzzivD5tneJzCjhI0vazlJRja0eZ3tpFX89rvsVtA0tNE0Gy0WN2ZbO0jgVmIyQihcnH0q3RRX26VlY+NCsT4kfDbwH8YPAmq/DH4n+FLLXNA1uza11XStQhDxXETdQR2IOCGGCpAIIIBrboolGMk01dMulVq0KsalOTjKLTTTs01qmmtmujPP/ANn/APZV/Z2/ZX8LXfgv9nz4R6R4W02+vTd3tvp0JzPNtC73dyzNhVAAJwO2Mmu8W0tVYMttGCOhCCpKKmnTp0oKEEkl0WiNcVi8VjsRLEYmpKdSWrlJuUm/Nu7fzCiiirOcK4n9pTVPihof7O3jzWvghZSXPjO08G6nN4St4rdZWl1NbWRrZQjfK5MoQBTwc4NdtRUzjzwcb2v1N8LWWHxMKripKLT5XqnZ3s/J7PyP5IY/iz8bPD/xub4y/wDCba7a+P7bX21CTXZJ3XUE1ESFmkZm+bzN+QQfcEY4r9zfhn8fdN1D4aeHb74hft86pb+IJ9As5Neg/wCFk6cnlXrQIZ12qpC4kLjA4GMCvre3/YR/Y+tP2gX/AGp7b9nzw4nxAkumun8Si1PnfaGj8tptufLEhXOXC7iSWzuJNerfY7P/AJ9Y/wDv2K+EwvCGYUOa2Lcbv7N9fN6rX7/U/cvFPxdyfj+GCjhcvVP2MXdy5b3dvcjZP93G2l7N3+GNtflf9n7wD4R8dav4Ku/AF9FceH/DN9Hfabd6TcpPbMkME1uieaNysvzsODklevBr6spERI12xoFA6ADFLX0uSZQsmwroqfPdt3tbstrvt3PxLG4t4yqp8trKwUUUV7Bxnwh488ZeJrv/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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", 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", "info": {"equation": "6*6=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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", 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", "info": {"equation": "6*6=36", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "07cea3ab62fdaa4ec9e7c885fe3ee3132f4c21d36bd78e5ad4d10b1568acc11e"} +{"episode": 43590, "episode_seed": 2138101088, "split": "train", "timestamp": "2025-10-28T03:46:56.250422", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 2138101088, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 6, 1, 8])", "action": "('move', [6, 6, 1, 8])", "reward": 0.0, "image": 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", "info": {"equation": "6*15=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": "6*15=90", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "3c2c54e989a00e139eac4dcd3fe5d4e6ad7a951a7505834c6a81fde1ab329e57"} +{"episode": 43591, "episode_seed": 4267518540, "split": "train", "timestamp": "2025-10-28T03:46:56.282591", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 4267518540, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 1])", "action": "('move', [4, 6, 0, 1])", "reward": 0.0, "image": 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", 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", "info": {"equation": "9*0=0", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "9*0=0", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "97aed75c3a1a051dfd24ac45aa3fcdc700788638e2fee295bb54f4be0dccc623"} +{"episode": 43592, "episode_seed": 3841274675, "split": "train", "timestamp": "2025-10-28T03:46:56.321380", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 3841274675, "verbose": false, "save_verbose": false, "elicit_verbalization": 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": "2*6=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": "2*6=12", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "c80837dff3bc5f27baef003707cad7859d8b97aa45e7ab750c0afcb567a4c653"} +{"episode": 43593, "episode_seed": 1728320575, "split": "train", "timestamp": "2025-10-28T03:46:56.360209", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 1728320575, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 0])", "action": "('move', [0, 4, 4, 0])", "reward": 0.0, "image": 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", "info": {"equation": "9*8=72", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "9*8=72", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "e0a161789f1f5e2846ad3e7175c248853e86bfe26840933e14553ea592f3f41c"} +{"episode": 43594, "episode_seed": 2859641790, "split": "train", "timestamp": "2025-10-28T03:46:56.415268", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 2859641790, "verbose": false, "save_verbose": false, "elicit_verbalization": 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, 0, 5])", "action": "('move', [6, 0, 0, 5])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "98+17=115", "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": "98+17=115", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "8ca89d67b255e3c70b01ad6e79a61e061e1fcc78380b83a4b003d68214b23ff0"} +{"episode": 43595, "episode_seed": 1883484103, "split": "train", "timestamp": "2025-10-28T03:46:56.459208", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 1883484103, "verbose": false, "save_verbose": false, "elicit_verbalization": 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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", "info": {"equation": "16-12=4", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "16-12=4", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "737f64226b515a5e05c91d25eda7a7f63f3d6d544753c90c806bb55f70e8c0b2"} +{"episode": 43596, "episode_seed": 746865386, "split": "train", "timestamp": "2025-10-28T03:46:56.513552", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 746865386, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 0, 2, 8])", "action": "('move', [0, 0, 2, 8])", "reward": 0.0, "image": 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", 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", "info": {"equation": "13*17=221", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "13*17=221", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "57bf375dbfb7695e7706d25d009b83a2529aedcf4f4fcff6c326efd3f7e9ff8d"} +{"episode": 43597, "episode_seed": 4243601192, "split": "train", "timestamp": "2025-10-28T03:46:56.557591", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 4243601192, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 5, 4, 0])", "action": "('move', [6, 5, 4, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "51/17=3", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "51/17=3", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "c74299fa1b526ad2742a193ece23b445c3524483c6dd6e2aa7ed25916d8018a3"} +{"episode": 43598, "episode_seed": 3110102618, "split": "train", "timestamp": "2025-10-28T03:46:56.612963", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 3110102618, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 0, 3, 6])", "action": "('move', [6, 0, 3, 6])", "reward": 0.0, "image": 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6p+FV54v1D4X+G9Q+INu0Ovz6BZya5E8YQpeNAhmUqOFIkLDA4Fb9FFfpkVyxSP5dqzVWrKaSV23ZbK/ReSP58f8Agv78Sf2gNA/4Kr3Wq3Wuatpw8LWGj3Hw0uY8xfZoRFHN59uR1P237Rl+u6PaeEAH3xZah8Dvj54f8MeG/jj+0PafEO6SO3vD4U8S+NLK+tW1EW5DObRMLKyb5cKwZVySBkAj7C+NHwo/Y+8afGjwB4v+O2h+D5/HWkXkrfDqXXbyKO+Mysjv9ljZwZyjBHwFbYSGGCcnlv8AgoR8I/hn8ZPhV4e+HvxQ8F2etaLfeM7c3enXQYJIUtbt1yUKtwyg8HtX5/m3D+JhHF4pYlqLvLlV9dL2lqttlo9LH7Rm3iHgs7yjIMuhhZYeWEhySqxS5nqouVPWN78rlK8o3nKSvpd0/wDglw80f7JdrpWmtI/hnTfFGtWXgSV41CvoUV/Mln5ZX/WQiMbY353xqjZYEMfomvM/2OdG0nw5+zR4T8PaBp0NnYWFlJbWVpboFjghjnkRI1A6KqgAD0FemV9nlkXDLqMW72jHX5I/KM8xkMwznEYmMeVTnJ29W9/Pv5n5G/8AB1T4j+LFr4P+E/hbT5b1PBF5f6jPqoij/wBHl1ONIhbCRh/EInuCqnqC5GccU/8Agnl8UPDfjz/gn/4W8C/tEftZXdpaz6Xc6VdeE7zx3aWMD6Skrww2zxArIsTQKEILAsh5PNfpt+1Z8O/2XPib8Hrrw7+2FYeGJ/BSXkE9y3i2/S1tIrhXxE/nO6CN9zbQQwJ3FeQxBX48+FfB0H7KXjLwxo+h2KaMnw+1C0tbO2iUQC1FjIixoF4CbMAAcY6V83mfD+JxWYVsTDEuCcVor30VrPVaafnofpM/EHCT8N8u4eWD5alCtKfttNdW/de/P765tVZRhrr7vgv/AATj8OeFvAX7QPxb8CfBjRLLTvBEWn6FeXdho1nFHYW2vyJcpcrGYxgSNaRae8kY+7lGwN/P2DXzp/wTv+EHww+Bnh3xl8PfhD4JsvD+iw6/bzx6fYK2zzZLKEu5LEszHA5JPAA6ACvouvV4Zg4ZHQV76X+9t/gfB8V46nmGe1a1O7VoxvL4pcsIx5pWbtKVrtXla9uaW7+Ov+C83iT4seGP+CZPjy7+Est7FJcPZ2viCbT48yJpUs6pc5I5VGUhHI/gds8EmvzK/wCCJXjb4har4B+K/gbWPEt3N4Z0XwdeXGiafLODFZXM4H2l4x1TeIoCf4cpnruz+9nijwx4e8a+GtQ8HeLdHt9R0rVrKWz1Kwu4w8VzBKhSSN1PVWViCPQ18nftA/Ar4Q/s4+EtO+FHwO8A2Hhvw9ZeAvEkttpenIQivJLau7ksSzMWPUknoOgArwuLcrq1E8cqloxik49/eX4a39Uvl93w3x3gcH4d4jhWWFTq1qyqKrpokot+fMuTlVtOWctVa0vVP2QvHepeO9JGp2Xjp/EujnS4li1j+0FukmlTCZEqfIzHa27HccjOa9rqvpKJHpdusaBR5CcAY7CrFfVZXgp5fg1RnUc3du731d+7/M/KsVXjiKzmo8q7I5f43X/jnSvgv4v1T4YWzzeJbbwvqEvh2GKESNJfLbSGBQrcMTIEGDwelfF37HfxAe8+MfwA0T4WeNbzWItR8E6pN4uDmOeWTTvsURe6vCctDL/acduhPBMrTIRlWC/fNfHf7DXwR+Evw2/aa1zx54F8AWGl614s03xDc+JNSt0bzb+UaxbEM5YnHLscLgZPSvHzqhKeb4Gak1aT0+V/xtZ+TPpsjzHL8PkuMo16XNOzcHZWblGUPeb1Shzc8LX95Wa15o/k/wDt2+Ov2pX/AOC6WoatbJqsnjLSPihp9r4EtTaBmFkk0f2BIoz8rRvEyt6N5js3LNX9ElfHXx8+Cfwl8Rft4ad8bdd8A2F34s0PWPCtpo+uzKxmtIXvBuVOdoz5j84z8xwa+xafD1B0cVjLyb/edfS/36/gfS+I/GuD4ty3J6FDDKi8Lh1Tk1b3notLfYXLeKeqcperK/nF/bj+Lv7Svhn/AILVeKfGmp+MtY0LxRpPxJFh4f1DzVtpLPSDIIbXyy3yJE1nIp3H5WWVmb7zV/R1XlWv/CX9j3UP2r9H+J/iTQfBz/GO20B49FnubyIaudP/AHqM8cBfc6ANMnmbDgFl3YGK6s+yupmtGnCFTkcZJ3/y810J8LeOMJwPjcdWr4P6wq2HnTSsnZuz96//AC7drT8rPW1j5A8faX+yN8eGkj+Nfxx0n4k2uk6XfNDa+KvGlpqEWm2zxgXNzHGhURsI1GZyN0YBKsuST9af8E/9U8c6z+xX8M9S+I7XratJ4StfMk1K1ENxJCFxbySoAArtAImYYHJOQDxXnn/BR/4F/B/43yeC/D3xb+Hmna/Y2K6rfWlpfRtsS4SKAK+FI3YDMMHIOeQa99+Cv/JHPCXA/wCRZsOg/wCneOvKyHA1cFnWJhUqubUYavrfXu9rWWp89meb0sRwxQwq5m+dys7ctNR5lanq/jcuaekVeMfi3XTV5X+1H8KP2P8A4o2XheL9rnRPB93BY+I4n8J/8JbexQKdSYHZHCZHXzXcD/VfMH2jKnAx6pX4bf8AB0Z4o+Lo/as8A+GdTur+Lwba+DPtnhxQpWBtRa5lW7dWH3pFRLQHuoK4xu59vPMfDLsulWlDnV0rPbV9f63ser4V8KYjjPjOjl1HFPDScZy9pG/MuWL0jZq7ez1Xu8z6WP3F+yWobcLaPOeuwVJX5vfsd/tLX2ufBP4feJfid+2vqF34u1Dw/aNq2jaj47sj5t1LHt8t4AA+47h8ud27Hevv/wCE93rl74B0+58QtI1yyN882d7JuO0tnnO3H1rlyriLDZviXRpU5Kyvd27pW0b7nymb5LWyevUpVJxlyTcLxd07Nq68nbQ6KiiivoTxTx7/AIKCeIPit4U/Yj+KXiT4HveJ4rsvBV9Lo0mnR77iOQRHLxDrvVNzLjkEAjJxX5O/8Gs2t/E9P2nfiRoemJdP4RufBcVxr0ggDRLqCXaCz3OeVcxyXuB/EAxP3a/b6/YrYzMp5ETEfka+R/8AgmB8EvhL8E7/AFm0+E/gGw0GPW/B2h6hqwsVbN1dM10DI5Ykk+3QZOAMmvmM0oSlxDgp8zXx6eiv+N7PyP1PhjjXB5P4cZxkVTDKc8S6bjPTSzXxdfdtzQttJt6dfr2vD/8AgpX4j+LHhH9gr4reJPgc96niez8HXT6dLpse64iXAE0kY6h1hMjAjkFcjkCvcKo+Jiw8N6gV6ixlx/3wa+ir03VoSgna6av2utz87yvGRy7M6GLlBTVOcZOL2lyyT5X5O1n5H8+P/BDL4weJvBnxI8Z+DNU/aG1HwR4RuNES+uEg8SW+nxT6is0ccRzMDlvKM2QvUKN33Vr9eP2VrDwp4/8AHWl+LfCPxAPiiHSdRub2912LVor43Fy1rJbkTTR5UsEmX5RggKvYHOZ/wTF+Bfwe+CQ1/RfhN8O9N0K11Pwt4fv9Qiso2P2i5f7aGkYuSScADGcDsBX1rHFHENsUaqPRRivguH8hrYnDYfFyxEuWL5lDpeLe2tvw6n6N4ocb4Pizi3FY/DYb2caijHW3M7QSvK2jb9dkuw6iiiv0I/Kj+av9nf40ftFaF/wVmm8YfEf4oa14U8Vax45vbDx/qsl9HYzQ2xmb7VDI0nyRoqxABei+Wm3lVr9ePAE3gT41a1deFtA+PU3jnUtQtktbiZvFFvqNzZ2xfB2iIYjTLEksMZ71rfDz4H/CPSf+Cgt18b9P+H+nxeLtY8aarZalr2xjPPbrpcoWM5JUDEafdAJ2jOa+w47eCI7ooUU+qqBX5xlvDtbHRq3xMlGNSScd0+VrV62u/Q/Y/EvxCwHFmY4TE4bBKj7PDwg9t1e6Vl8Eb2it7dr2T6KKK/Rz8cP58f8Agv78Sf2gNA/4Kr3Wq3Wuatpw8LWGj3Hw0uY8xfZoRFHN59uR1P237Rl+u6PaeEAH6KfDP4peD/GcXhqDxL+1bL4r11rWCUaDf+N7O7H29rfEhSCLBLrulAAzgE8V9f8AxI/Zi+AHxg+I/hb4u/E34UaRrXiXwVOZvC2sXsBabT5CyvuQg4OGVWG4HawyMHmu3W1tUbeltGCOhCCvisRwpi8Ria8/rTjGo27K7un0eqWmy30P1rijxHy7PuGsny2lglCeCpuEpae8/dV42V7Pl55X155Ptd838FvCR8D/AAt0bwyxl3QWxdhPjeGkdpCDgDGC5GPauooor7ChSVCjGmvspL7lY/J5yc5uXc/I3/g6o8R/Fi18HfCfwrp8t6ngi9v9Rn1URJ/o8upxpELYSMP4hE9wVU9cuRnHEn/BOL47p4p/Yh8Iaf8AHz9sa/trj7FcafJ4d1Lx1Z28Z0yOV4YIHhb5/LMCquCQxXvyDX6e/HX9n34L/tNeAJPhd8evh3p/ifQJbqK5bTdSRigmjJKSKVIZWGSMgjhiOhIrpNG8NeHvD2j2nh/QtEtbSxsLaO3srS3gVI4IkUKiKoGAqqAAB0Ar5bH8N4vGZlUxMMS6akkrK99Fa2606/Nn6pifEPLq/hpgeGVgl7WhVnN1NLNPmato3zPmtK+loR32j57+zB4XGlaBq/igNJ/xPNQjmXdjYVjgjiDJxyDt68+1en0AADAFFfRZfg1gMFTw6d+VWv3Py/EVniK8qlrXCvGv2qvAr+NrrTdOGluxvtOu9MW8gUmRFuNgdB1A+4rDI/hPYGvZaKzzTALM8FLDuXKnbX0af6FYXEPC11USva/5DLaEW9vHbqSQiBQT7DFPoor0DnOX+N1/450r4L+L9U+GFs83iW28L6hL4dhihEjSXy20hgUK3DEyBBg8HpX5vWfxv8LeG7n4A2PhT9pm+0CLV/DV+/iDU18QWttc3Vn9hRpJbqWbJjlOoxwqw4Jl85SPkYL+pNcD8LP2W/2efgl4y8U/EL4UfCPRtC1rxtffbPFOo2NtiTUZ98j73ySB88sjYXAJcnGa+dzvJcRmtejOnWdPkvte+vVarXpvsfV5FneWZdluIo4mjzzldw0jZtxlC029Uo83PCyfvKzSvzR+ffgJH4N+LPjW0bwt8XZPGk9vrtje6pqy6/BqM8YtpVmijkeL5UT92QAQCdzYOTx9gU2OGGHPlRKueu1cU6urJsqllVKcZVXUcndt+iXd/meBjMWsXOLUeVJWsFfzi/tx/F39pXwz/wAFqvFPjTU/GWsaF4o0n4kiw8P6h5q20lnpBkENr5Zb5EiazkU7j8rLKzN95q/o6rg9W/Zg/Z+13476f+07rHwm0e48faXppsLDxRJb5uYbciRSgOcZ2yyLuI3BWIzjis89ymtm1GnCnU5HGSd/66rofoXhjx5gOA8Zja2KwqrqvQnSS00bs0nf7ErWmlra2jtY+WPC3jH4e/EHxSNH0b9pSXx1qj2s0On2Fx4wttRlhR8CRoooQGyQFycHgCvtDwXoKeFfB2k+F43dl03TILVWkILERxqmTjjPHatBLa3jbdHbop9VQCn1OT5LUyurUqVKzqSnbV+V/N33PgMZjY4qEYxgoqN9vP5IK4T44/sx/AH9pa30W0+PPwp0jxTH4d1RdR0VNVgLi1uQMb1wRkEYypyrYGQcCu7or25whUi4zSa7PU58LisVgq6r4eo4TW0otxa6aNWa00I/slqG3C2jznrsFSUUVZgFFFFAEV6sj2cqQxq7mJgiMeGOOAfavIP2WvACeHNT1fXI7Ca0RdPtNKhtWUhI0t2mYKMjOR5u089h3r2SivPxGAWIx9HEuVvZ82nfmVvwOiniHTw86Vvitr6O4V45/wAFBtc8e+G/2LviJrfw1vNRttVg8POTd6PD5l3bWpdBdTQj/nolsZnUjJBUEcgV7HSSRxyxtFKgZWBDKwyCD2Nddem61CVNO101ftdbmuXYqGAzCjiZQU1TnGTi9pKLTs99Haz0Z+a+tfG/wZ4d/ag0nwj4R/ajfwr4dk+Foub9dI8VWdrbykXcX9mN5sm4uWglvGVQcFNr9CCfqj9kz4j3XjjVIU8N/FaXxjpNtbyw3eqNrEd8N4O4B5Yvk8wFwMcHaR6CvRPgR+y9+z5+zH4ev/CnwC+Euj+FtO1PUn1C/tdLt9qzXDKqlzuJP3VUBR8qgcAV3ccUcQ2xRqo9FGK+Sy3hfGYOdKU8U7Qd+VX5fTfr107nuZ3nOV4qq4YKj7iioqUklOXVyko3V7uySk7JJXdh1FFFfZHyx+VVx8b9W0D4Q/C/WPFHx0v/AA5491X4tSQ+M7uXUra0vYLwz3Y1mCbzci3jhjd1GANii3A++u76e+APxfj8ReKodA+H/wC0hc+OLr7ZDNNay+KrfUXhjzsORBgrGQTksMd8jFe9eHv2Xf2e/Cnxw1r9pPw78JNGtPHXiKyW01rxNFb/AOk3cIEY2sc4GfJiyQAW2LknFd1HbwRHdFCin1VQK+Iw/CeNpSbeLklzXsr663u9Vq+uj17n22fcR5Tj6ynhMNy3u5XUU1KbbcY2v7kPhjs2ru0b8qfRRRX258SFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXj/AO2b+3V+zl+wR8PtP+JP7R3ii+sbHVtUNhplrpGjXGoXdzKsMk8rJBbo0hSKCGWaR8bUSNmJFewV8D/8FuPDnxL0DxF8G/2j/B/wW8V+PdI8Hr410bXND8F6JJqV8k2t+GbvT7Kb7PHljF9pKRO/SNZ9x4BoA+6fCvijw9448L6b418I6xBqOk6xYQ3ul6havuiubeVBJHKh7qyMrA+hq/XkX/BP/wCE3jP4DfsLfBz4J/EWPZr/AIT+GGhaTrcW8N5V3b2EMUseRwQrqy577a9doAK5n4zfF7wN8AvhVr/xn+Jd/cW2g+G9NkvtTmtLGW5lESDJEcUSs8jk4CqoJJIArpq5D4/fEDSvhX8E/FPxD1vRNa1K10nRLieew8OaNNqN9OAhG2C2gVpJnOeEUEmgCL9nb4+fDn9qT4HeF/2h/hFfXVz4Z8X6RFqWiT3tm9vK8En3S8b/ADIeOh5rtK+Rf+CFOvale/8ABLX4UeDfEHw+8W+GNY8H+H49B1zSfGXhe60m6S7gVWcpFcojSRfvBtlA2sQwByDj66oAKSSRIo2lkYBVBLE9hS0kjiONpGBIUEkAZJoA8S/ZK/4KFfsx/tr+I/Fvg74GeItYfVvBUtt/bel+IPDd5pdx9nuQ5tryKO6jRpraYRyGOZQVbacds+3V8Bf8Eh/izqH7T37UHx7/AGsPiv8ACD4jeDvHPiq8sdL0zQfGPw91DSLTSPCunS3MOm28VzcxJHd3MzSXF3P5ZIQ3CIOEyfv2gAooooA8Ruv+ChX7NGn/ALY9l+wtqWs67a+O9TimOltdeF7yPS76eG1W8ltIb9oxby3CW7LK0SuWVTzg8V7dX57fGfTvFPxN/wCC6Pwd8U/C74P/ABcjvfANvrVl8Q9a8S6Vcf8ACGR6FNpDmC702WQtbi9ku5YYS8G2YrHIkg2qK/QmgAooooA8s/aw/bL+AX7FXhPw74y/aA8VS6ZaeK/GNh4X0FLaze4lu9SvHKwxKiAnHyszN0VVJNep1+X3/Bwf8Ev22PiT4m8BfED4F/svL8TfCnhOXRms4bTxMLW60rXJPE+lyvcfZVglkuFa2tEtzMNq20VzcytuVWWv0706a9uNPgn1GzW3uHhVp7dZd4icgFlDYG7ByM4GcUATUUUUAeaftYftXfCv9jT4UD4xfF6216402TWrLSbWy8MaBPql/d3l3MIYIYba3VpJXd2CgKCea6n4SfEvR/jJ8NNE+Kfh/RNb02y13T0u7aw8SaNNp1/AjDhJ7adVkgcd0cAivCv+CsPhD4Q+Mv2UPsnxx8HfF3WPD9j4r0zUZD8D7W4l8Q2NxbymW3uoRbfv1VJljy8PzqSp4UMRqf8ABKZf2k0/4J3/AAnX9rxtZPxC/wCEYX+3j4kbOpbfOk+zfaz1+0/ZvI83PPmb885oA+g6KKKAK2s6xpXh7SLvxBruoQ2ljY20lxeXdxIFjhiRSzuzHgKFBJPYCvLv2Qf22PgP+3J4EvviT+z/AH+t3OkWV+LdbnW/DV3pv2tGjWSK6txcxoZ7aVGDRzJlHGcHgirv7a3w18X/ABn/AGN/iz8H/h8R/b3ir4aa7pGiZfaDd3OnzwwjJ6fO6818f/8ABvR4a/aH8I/Bbxv4e+Jum/Fmx8F2Nx4etPBWnfGVZ11S1votDtY9bjgW4/eJYLqCusCj90FVvL+TFAH6G0UUUAFfPnwj/wCCl37PPxk/ay1T9izRPDXxB0jxxpljqN95Xin4fahplne2tlcpbT3Ftc3Eax3EXmSIFkjJVwwIJyK+g6+UP2c/A/jP4jf8FUPj5+03408J6pYaT4T8L+H/AIb/AA/utS0+WBL2BUfVtUubcyKBLE1zd28PmJlS1mRnKmgD6vooooAK8C+NX/BTD9kj9n79qHwz+yD8S/Gep23jHxQ+npara+H7q4sbJ7+eS3sEu7uNDFatczRSRxCRgXZSBXvtflB/wUj+Dfxx8Vf8Fmvh/wCN/DvwJ8davNHqHw7bwDrOgaFJN4ZltbTWr+bX312VR5Xm21rLHLaGc7o3fdD8xNAH6v0UUUAf/9k=", 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", 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St8OpddvIo74zKyO/2WNnBnKMEfAVthIYYJyeW/4KEfCP4Z/GT4VeHvh78UPBdnrWi33jO3N3p10GCSFLW7dclCrcMoPB7V+f5tw/iYRxeKWJai7y5VfXS9parbZaPSx+0Zt4h4LO8oyDLoYWWHlhIckqsUuZ6qLlT1je/K5SvKN5ykr6XdP/AIJcPNH+yXa6VprSP4Z03xRrVl4EleNQr6FFfzJZ+WV/1kIjG2N+d8ao2WBDH6JrzP8AY50bSfDn7NHhPw9oGnQ2dhYWUltZWlugWOCGOeREjUDoqqAAPQV6ZX2eWRcMuoxbvaMdfkj8ozzGQzDOcRiYx5VOcnb1b38+/mfkb/wdU+I/ixa+D/hP4W0+W9TwReX+oz6qIo/9Hl1ONIhbCRh/EInuCqnqC5GccU/+CeXxQ8N+PP8Agn/4W8C/tEftZXdpaz6Xc6VdeE7zx3aWMD6Skrww2zxArIsTQKEILAsh5PNfpt+1Z8O/2XPib8Hrrw7+2FYeGJ/BSXkE9y3i2/S1tIrhXxE/nO6CN9zbQQwJ3FeQxBX48+FfB0H7KXjLwxo+h2KaMnw+1C0tbO2iUQC1FjIixoF4CbMAAcY6V83mfD+JxWYVsTDEuCcVor30VrPVaafnofpM/EHCT8N8u4eWD5alCtKfttNdW/de/P765tVZRhrr7vgv/BOPw54W8BftA/FvwJ8GNEstO8ERafoV5d2GjWcUdhba/IlylysZjGBI1pFp7yRj7uUbA38/YNfOn/BO/wCEHww+Bnh3xl8PfhD4JsvD+iw6/bzx6fYK2zzZLKEu5LEszHA5JPAA6ACvouvV4Zg4ZHQV76X+9t/gfB8V46nmGe1a1O7VoxvL4pcsIx5pWbtKVrtXla9uaW7+Ov8AgvN4k+LHhj/gmT48u/hLLexSXD2dr4gm0+PMiaVLOqXOSOVRlIRyP4HbPBJr8yv+CJXjb4har4B+K/gbWPEt3N4Z0XwdeXGiafLODFZXM4H2l4x1TeIoCf4cpnruz+9nijwx4e8a+GtQ8HeLdHt9R0rVrKWz1Kwu4w8VzBKhSSN1PVWViCPQ18nftA/Ar4Q/s4+EtO+FHwO8A2Hhvw9ZeAvEkttpenIQivJLau7ksSzMWPUknoOgArwuLcrq1E8cqloxik49/eX4a39Uvl93w3x3gcH4d4jhWWFTq1qyqKrpokot+fMuTlVtOWctVa0vVP2QvHepeO9JGp2Xjp/EujnS4li1j+0FukmlTCZEqfIzHa27HccjOa9rqvpKJHpdusaBR5CcAY7CrFfVZXgp5fg1RnUc3du731d+7/M/KsVXjiKzmo8q7I5n4033jfS/g54s1P4Z2zzeJLfwzfy+H4Y4RIz3y27mBQrcMTIEGDwelfzr/wDBJD4t/ELw5+3Rdan4k+NWqeFI/EGm6kfG+tyazFZTTthpgJZrgHDNdCMkfeJJ7Zr+k6vjr9h74G/CH4d/tM65468E/DzTtN1nxZpviG68SajDGxlv5hrFuQzliccuxwuBluleBxLgqmLx2EjCo4NuSuuml7rVa6WP0/gTjjA8NcI51llbCqrLFQioydtLNr3r9Fzc0bbTS73Xgvxw0b4Iavolx8dfht44s/GnxXtPE+h/8Il4q/tm21fVxqyXSJY2UTAkLG4MwaBQFZGmkYEqXX9P6+Ofjz8DvhDr37d2nfGvWfh9p1z4r0LWPCtro+uSoxmtIXvBuVBnaM+Y/OM/McGvsar4Yws8JVxUJTc2p2u+tlv11d9fQ+V4izWnjsuwVGLk3CMm3LpzcqVOOr9yChePw6ylaK3ZX84v7cfxd/aV8M/8FqvFPjTU/GWsaF4o0n4kiw8P6h5q20lnpBkENr5Zb5EiazkU7j8rLKzN95q/o6ryrX/hL+x7qH7V+j/E/wASaD4Of4x22gPHos9zeRDVzp/71GeOAvudAGmTzNhwCy7sDFd+fZXUzWjThCpyOMk7/wCXmuh9J4W8cYTgfG46tXwf1hVsPOmlZOzdn71/+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+UzfJa2T16lKpOMuSbheLunZtXXk7aHRUUUV9CeKePf8FBPEHxW8KfsR/FLxJ8D3vE8V2Xgq+l0aTTo99xHIIjl4h13qm5lxyCARk4r8nf8Ag1m1v4np+078SND0xLp/CNz4LiuNekEAaJdQS7QWe5zyrmOS9wP4gGJ+7X7fX7FbGZlPIiYj8jXyP/wTA+CXwl+Cd/rNp8J/ANhoMet+DtD1DVhYq2bq6ZroGRyxJJ9ugycAZNfMZpQlLiHBT5mvj09Ff8b2fkfqfDHGuDyfw4zjIqmGU54l03Gemlmvi6+7bmhbaTb06/XteH/8FK/EfxY8I/sFfFbxJ8DnvU8T2fg66fTpdNj3XES4AmkjHUOsJkYEcgrkcgV7hVHxMWHhvUCvUWMuP++DX0Vem6tCUE7XTV+11ufneV4yOXZnQxcoKapzjJxe0uWSfK/J2s/I/nx/4IZfGDxN4M+JHjPwZqn7Q2o+CPCNxoiX1wkHiS30+KfUVmjjiOZgct5RmyF6hRu+6tfrx+ytYeFPH/jrS/FvhH4gHxRDpOo3N7e67Fq0V8bi5a1ktyJpo8qWCTL8owQFXsDnM/4Ji/Av4PfBIa/ovwm+Hem6Fa6n4W8P3+oRWUbH7Rcv9tDSMXJJOABjOB2Ar61jijiG2KNVHooxXwXD+Q1sThsPi5YiXLF8yh0vFvbW34dT9G8UON8HxZxbisfhsN7ONRRjrbmdoJXlbRt+uyXYdRRRX6EflR/NX+zv8aP2itC/4KzTeMPiP8UNa8KeKtY8c3th4/1WS+jsZobYzN9qhkaT5I0VYgAvRfLTbyq1+vHgCbwJ8atauvC2gfHqbxzqWoWyWtxM3ii31G5s7Yvg7REMRpliSWGM961vh58D/hHpP/BQW6+N+n/D/T4vF2seNNVstS17Yxnnt10uULGckqBiNPugE7RnNfYcdvBEd0UKKfVVAr84y3h2tjo1b4mSjGpJOO6fK1q9bXfofsfiX4hYDizMcJicNglR9nh4Qe26vdKy+CN7RW9u17J9FFFfo5+OH8+P/Bf34k/tAaB/wVXutVutc1bTh4WsNHuPhpcx5i+zQiKObz7cjqftv2jL9d0e08IAP0U+GfxS8H+M4vDUHiX9q2XxXrrWsEo0G/8AG9ndj7e1viQpBFgl13SgAZwCeK+v/iR+zF8APjB8R/C3xd+Jvwo0jWvEvgqczeFtYvYC02nyFlfchBwcMqsNwO1hkYPNdutrao29LaMEdCEFfFYjhTF4jE15/WnGNRt2V3dPo9UtNlvofrXFHiPl2fcNZPltLBKE8FTcJS095+6rxsr2fLzyvrzyfa75v4LeEj4H+FujeGWMu6C2LsJ8bw0jtIQcAYwXIx7V1FFFfYUKSoUY019lJfcrH5POTnNy7n5G/wDB1R4j+LFr4O+E/hXT5b1PBF7f6jPqoiT/AEeXU40iFsJGH8Qie4KqeuXIzjiT/gnF8d08U/sQ+ENP+Pn7Y1/bXH2K40+Tw7qXjqzt4zpkcrwwQPC3z+WYFVcEhivfkGv09+Ov7PvwX/aa8ASfC749fDvT/E+gS3UVy2m6kjFBNGSUkUqQysMkZBHDEdCRXSaN4a8PeHtHtPD+haJa2ljYW0dvZWlvAqRwRIoVEVQMBVUAADoBXy2P4bxeMzKpiYYl01JJWV76K1t1p1+bP1TE+IeXV/DTA8MrBL2tCrObqaWafM1bRvmfNaV9LQjvtHz39mDwuNK0DV/FAaT/AInmoRzLuxsKxwRxBk45B29efavT6AABgCivosvwawGCp4dO/KrX7n5fiKzxFeVS1rhXjX7VXgV/G11punDS3Y32nXemLeQKTIi3GwOg6gfcVhkfwnsDXstFZ5pgFmeClh3LlTtr6NP9CsLiHha6qJXtf8hltCLe3jt1JIRAoJ9hin0UV6BznL/G6/8AHOlfBfxfqnwwtnm8S23hfUJfDsMUIkaS+W2kMChW4YmQIMHg9K/N6z+N/hbw3c/AGx8KftM32gRav4av38QamviC1trm6s/sKNJLdSzZMcp1GOFWHBMvnKR8jBf1JrgfhZ+y3+zz8EvGXin4hfCj4R6NoWteNr77Z4p1GxtsSajPvkfe+SQPnlkbC4BLk4zXzud5LiM1r0Z06zp8l9r316rVa9N9j6vIs7yzLstxFHE0eecruGkbNuMoWm3qlHm54WT95WaV+aPz78BI/BvxZ8a2jeFvi7J40nt9dsb3VNWXX4NRnjFtKs0UcjxfKifuyACATubByePsCmxwww58qJVz12rinV1ZNlUsqpTjKq6jk7tv0S7v8zwMZi1i5xajypK1gr+cX9uP4u/tK+Gf+C1XinxpqfjLWNC8UaT8SRYeH9Q81baSz0gyCG18st8iRNZyKdx+VllZm+81f0dVwerfswfs/a78d9P/AGndY+E2j3Hj7S9NNhYeKJLfNzDbkSKUBzjO2WRdxG4KxGccVnnuU1s2o04U6nI4yTv/AF1XQ/QvDHjzAcB4zG1sVhVXVehOklpo3ZpO/wBiVrTS1tbR2sfLHhbxj8PfiD4pGj6N+0pL461R7WaHT7C48YW2oywo+BI0UUIDZIC5ODwBX2h4L0FPCvg7SfC8buy6bpkFqrSEFiI41TJxxnjtWgltbxtujt0U+qoBT6nJ8lqZXVqVKlZ1JTtq/K/m77nwGMxscVCMYwUVG+3n8kFcJ8cf2Y/gD+0tb6LafHn4U6R4pj8O6ouo6KmqwFxa3IGN64IyCMZU5VsDIOBXd0V7c4QqRcZpNdnqc+FxWKwVdV8PUcJraUW4tdNGrNaaEf2S1DbhbR5z12CpKKKswCiiigCK9WR7OVIY1dzEwRGPDHHAPtXkH7LXgBPDmp6vrkdhNaIun2mlQ2rKQkaW7TMFGRnI83aeew717JRXn4jALEY+jiXK3s+bTvzK34HRTxDp4edK3xW19HcK8c/4KDa5498N/sXfETW/hreajbarB4ecm70eHzLu2tS6C6mhH/PRLYzOpGSCoI5Ar2OkkjjljaKVAysCGVhkEHsa669N1qEqadrpq/a63NcuxUMBmFHEygpqnOMnF7SUWnZ76O1noz819a+N/gzw7+1BpPhHwj+1G/hXw7J8LRc366R4qs7W3lIu4v7MbzZNxctBLeMqg4KbX6EE/VH7JnxHuvHGqQp4b+K0vjHSba3lhu9UbWI74bwdwDyxfJ5gLgY4O0j0FeifAj9l79nz9mPw9f8AhT4BfCXR/C2nanqT6hf2ul2+1ZrhlVS53En7qqAo+VQOAK7uOKOIbYo1UeijFfJZbwvjMHOlKeKdoO/Kr8vpv166dz3M7znK8VVcMFR9xRUVKSSnLq5SUbq93ZJSdkkruw6iiivsj5Y/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==", "info": {"equation": "39+83=122", "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": "39+83=122", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "b4e4eeef81af18098fcfe501ce0981cdd9603f1536c71fa1f8f0a543b906e428"} +{"episode": 43599, "episode_seed": 259048810, "split": "train", "timestamp": "2025-10-28T03:46:56.658647", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 477, "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": 259048810, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 0, 3, 5])", "action": "('move', [0, 0, 3, 5])", "reward": 0.0, "image": 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", "info": {"equation": "11*9=99", "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": "11*9=99", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "91e521d4d48938080e61f807fd9f570b700372b41b52af8f0878a71d5182d991"}