diff --git "a/matchstick_equation/bfs/train/batch_000267.jsonl" "b/matchstick_equation/bfs/train/batch_000267.jsonl" new file mode 100644--- /dev/null +++ "b/matchstick_equation/bfs/train/batch_000267.jsonl" @@ -0,0 +1,100 @@ +{"episode": 26700, "episode_seed": 3384227745, "split": "train", "timestamp": "2025-10-28T03:45:03.366378", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3384227745, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 1, 2, 8])", "action": "('move', [4, 1, 2, 8])", "reward": 0.0, "image": 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", 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", "info": {"equation": "15*16=240", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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jyZdRje9ox/JHh8TZlTzniPGY+FNU41as5qK2ipSbt8rn5G/8HVPiP4sWvg/4T+FtPlvU8EXl/qM+qiKP/R5dTjSIWwkYfxCJ7gqp6guRnHFP/gnl8UfDfjv9gDwt4G/aH/ayu7S1m0u50q58J3nju0sYG0lJXhhtniBWRYmgUKQWDMh681+m37Vnw7/Zc+JvweuvDv7YVh4Yn8FJeQT3LeLb9LW0iuFfET+c7oI33NtBDAncV5DEFfjz4V8HQfspeMvDGj6HYpoyfD7ULS1s7aJRALUWMiLGgXgJswABxjpXzeZ8P4nFZhWxMMS4JxWivfRWs9Vpp+eh+hT8QcJPw3y7h5YPlqUK0p+2011b9178/vrm1VlGGuvu+E/8E6NI0HwT8evit8Ovg/p1vY+A7PTtDu5NL0m3jTTrHXpRdC6SHZ8qSNax6e8kYwAWRiAXyfr2vnT/AIJ3/CD4YfAzw74y+Hvwh8E2Xh/RYdft549PsFbZ5sllCXcliWZjgckngAdABX0XXq8NRcMjoJu+l/vb0+R8HxXjqWYZ7VrU7tWjG8vilywjHmlZu0pWu1eVr25pbsr5y/bc8U2Xw9t7rxbodn9q1caaiWtgip/pV7JIIbSL5mUFnldEwSOMc19C6rqdnoumz6tqEuyC2iaSVvRQMn6mvmBvCd/+0v8AtBTm7hlXTvDFg2uMWdVVtQl8y306I5Q7hHGlzI2CCGEJ5zxw8VP61Qp4GmuapN3S7KKbb+e3zZx5SvZVJV5O0Yq3zf8AVz2T9k2w8Had+zZ4Lj8CXJn0+XQYbj7TJGqS3FxKPMuJZVRmCzPM0rSAE4dmGTXodeI/scjVvDA8T/Dy7C/2cmsSaroih1Bt1uTvuoCgRSMXXmygktkXGMjbivbq9rKcXSxuXU6tPRNLTs1o18mcWLoyoYmUJdwooor0TmP52/27fHX7Ur/8F0tQ1a2TVZPGWkfFDT7XwJam0DMLJJo/sCRRn5WjeJlb0bzHZuWav6JK+Ovj58E/hL4i/bw0742674BsLvxZoeseFbTR9dmVjNaQveDcqc7RnzH5xn5jg19i18xw9QdHFYy8m/3nX0v9+v4H6n4j8a4Pi3LcnoUMMqLwuHVOTVveei0t9hct4p6pyl6sr+cD9u74oftE6N/wWn8T+L/EPijU9H8TaP8AE6O08OX0rJA9jpayiOzaIv8AIkZtGRwx4IkLnlia/o/r43+MvwR+Eut/t8W3xw1jwBp9z4t0rxH4cstN12ZGaa3t28vcijO0Z8xxnGcMRmo4rw8sRhaKjNx/eRWnnpf1W6K8KuNsFwVjsdVxOFVdVsPOmk7aN2dnf7Etpre1tHax5p490z9kf47u6/Gn45aV8SLbSNMvngtvFPjS01CLTLZ4x9puo40KiNhGozORujAJVlySfrb9gnXviH4n/Y0+HGv/ABUutRuNcuvC1u9zdavCI7u4jwfJlmXjErw+W7ZAO5iSAcivOf8Ago/8C/g/8b5PBfh74t/DzTtfsbFdVvrS0vo22JcJFAFfCkbsBmGDkHPINe+/BX/kjnhLgf8AIs2HQf8ATvHWGQ4Grgs6xMKlVzajC7fW+vd7Wsj5rM83pYjhihhVzN87lZ25aajdWp6v43LmnpFXjH4t101eV/tR/Cj9j/4o2XheL9rnRPB93BY+I4n8J/8ACW3sUCnUmB2RwmR1813A/wBV8wfaMqcDHqlfht/wdGeKPi6P2rPAPhnU7q/i8G2vgz7Z4cUKVgbUWuZVu3Vh96RUS0B7qCuMbufazzHwy7LpVpQ51dKz21fX+t7Hq+FfCmI4z4zo5dRxTw0nGcvaRvzLli9I2au3s9V7vM+lj9xfslqG3C2jznrsFSV+b37Hf7S19rnwT+H3iX4nftr6hd+LtQ8P2jato2o+O7I+bdSx7fLeAAPuO4fLndux3r7/APhPd65e+AdPufELSNcsjfPNneybjtLZ5ztx9a5cq4iw2b4l0aVOSsr3du6VtG+58pm+S1snr1KVScZck3C8XdOzauvJ20Oir84/+Dm3xH8WNF/YW0TSvA8t7H4e1TxrbweMntEyjQLFJJAkzDlYzOiH0LqgPOAf0cryH9uvwR4T+JX7M+seAfHmgw6po2rato9vqWn3G7y7iI6pa5VtpBxwOhFdudU3VyivFO3uv8Ff8dj0eBs8ocNcYYHM61L2kaVSMnHutrq+nMr80f7yR+W//BGz48aun7Ib+HPij+1/qvhe10fxHc2fhjRz41tLFYrDy45DsjlBfb58k2CeOoHAFfpz+yB4X0SOK98c+G7hZdNutHsbDTJbaVZLeW3iMro0bjO8YlHzAkEYqb9hPwD4K+Hf7P0HgTwP4Ys9M0fSdf1S203T7WLEcES3kuFGcn1OSSSSSSSa9mVVUBVUADoAK8DIsirQeHxtTESklG6i1ouaOyd3tft0R28b8T4fiHiHHYuhh1SjWqSlZWvbmvrZfE95ebYteHf8FK/EfxY8I/sE/FbxJ8D3vU8T2fg66fTpdNj3XES4AmkjHUOsJkYEcgrkcgV7jSSRpKjRSoGVgQysMgj0NfXV6brUZU07XTV+11ufLZXjI5dmdDFypqapzjJxe0uWSfK/J2s/I/ng/wCCF/xV1zwT8UvG3hvUfj3e+B/DF74fiuryS28QW2nrdX8c6pAC8wJYiOS5+Vfqegr7+0vwx8FtL+Pfwu+LvwI1yx8QfEPWPi7bRXXiqy1CDVNS1a1mj8vV0uJwSWhj08FiBhYRHDtC7vm+5vgT+zB+z7+zJ4ev/CnwD+E2j+FtO1TU31C/tdMt9qzXLKqlzuJP3VUADgAcAV87eEPgh8ItK/4KK3Hx0074fadF4w1DxteWF54gVG8+S2XQXAj5O1RhEGQATtGTX53U4exWWvCe0xDknUiuVXsm23da/otz9h4l8R8u4p4vx2cYehKjCdJpRVr1LQUbVrNLle8vj0SjbXmX2LRRRX6Sfh5+b/wB+Jvju5f4LMni2/ufiPq3xenTxpps0cTXZn33o1uG4hPMMVvFI+MAeWq22Pvpu+G/+DiDxd8dH/4Kfiw1GbVEstF0XSX+HEawHaEaNJHkgAH7xjeiZS2CS0YXoqiv0++HPwR+E2if8FB7r45aX4BsIPF+r+NNVstS8QKrG4nt10uULGckhRiOP7oGdozmk/4KKfBP4TfE/wCLul+MfiD4CsNX1Pwp4Ne78OXl4rM1hObonzEAIUnKIfmBwVBFfmNTBzjw/iI+0fu1/vs1H8b39Uj994R8Qcj4Y43hmccFzwnQqJxtFOM6j57R6ckbezT0bhKT5VfkPqj4VXni/UPhf4b1D4g27Q6/PoFnJrkTxhCl40CGZSo4UiQsMDgVv0UV+mxXLFI/Bqs1Vqymkldt2Wyv0Xkgrz79pHSBqfgi0uDpguDY6rHcK+0kwHZIm8Y9nK88YY16DRXLj8J9ewVTD83LzJq/YrD1fYVo1LXs7nL/AAW8JHwP8LdG8MsZd0FsXYT43hpHaQg4AxguRj2rqKKK2oUlQoxpr7KS+5WM5yc5uXc/I3/g6o8R/Fi18HfCfwrp8t6ngi9v9Rn1URJ/o8upxpELYSMP4hE9wVU9cuRnHEn/AATi+O6eKf2IfCGn/Hz9sa/trj7FcafJ4d1Lx1Z28Z0yOV4YIHhb5/LMCquCQxXvyDX6e/HX9n34L/tNeAJPhd8evh3p/ifQJbqK5bTdSRigmjJKSKVIZWGSMgjhiOhIrpNG8NeHvD2j2nh/QtEtbSxsLaO3srS3gVI4IkUKiKoGAqqAAB0Ar5bH8N4vGZlUxMMS6akkrK99Fa2606/Nn6pifEPLq/hpgeGVgl7WhVnN1NLNPmato3zPmtK+loR32j57+zB4XGlaBq/igNJ/xPNQjmXdjYVjgjiDJxyDt68+1en0AADAFFfRZfg1gMFTw6d+VWv3Py/EVniK8qlrXKmvaNaeIdFutDvs+VdQNG5XqMjqPcdazvh94HtPAHh8aHbXbXDNK0s07Jt3scDpzgYAH4VuUVpLC4eWJWIcffSaT8mSqtRU3TT0etjmPB/wu0rwd4l1HxJZ3jyNfEiOJkAEKltzKD3+b9APrXT0UUYbC4fB0vZ0Y8sbt2827sKtWpWlzTd2FFFFdBmeLfEb4fHxH+0Hp0o0ySISXmm3sl1Ap/eizlWZSxORgMu04xww7kGvaaKK8/A4BYKpWmpX9pJy9LpaHRXxDrxgrW5VYK/MT9o74xa94T8E/GPxD4i+K17oXj61+NhtNNkmuYILqzC6jbppMcKS/KsL6ckMocjBRppCeGI/TuuD1b9l/wDZ91348af+09rHwm0e48faXppsNP8AFElvm5htyJFKA5xnbLIu4jcFcjOOK489ymtm1GnCnU5HGSd/66rofQcMZxlmUVaksbS9omk0kou8ou6hLm2pz2na7WjtK1n8seFvGPw9+IPikaPo37SkvjrVHtZodPsLjxhbajLCj4EjRRQgNkgLk4PAFfaHgvQU8K+DtJ8Lxu7LpumQWqtIQWIjjVMnHGeO1aCW1vG26O3RT6qgFPqcnyWpldWpUqVnUlO2r8r+bvueNjMbHFQjGMFFRvt5/JBXCfHH9mP4A/tLW+i2nx5+FOkeKY/DuqLqOipqsBcWtyBjeuCMgjGVOVbAyDgV3dFe3OEKkXGaTXZ6nPhcVisFXVfD1HCa2lFuLXTRqzWmhH9ktQ24W0ec9dgqSiirMAr5r/4KIeItd0XU/hHYXWr3Nj4Uv/iEY/Ec8RCQy3C2Nw+nQzuT8sb3ixYHRpViXksFP0pXP/FT4VfDr43/AA+1T4U/FnwhZ694d1qAQ6ppN+haK4QMHAOCCCGVWBBBBUEEEVw5lhJ47AVKEZcrkrX/AK6dH5Hq5JjcNl+Z06+IjzQV07JNpSi4uUU9HKN+aN2veS1W5+efwn/aB8PT+PPibpt9+2ffaDpGnePpYNA0+38aWNlCifZLaS6EasCzoLx7kbyTkhhnivuH9mnxZrHjPw5d69ca6dU065aOXTtRE4lScOpJaNx8rIRtIK8c8V1vw6+F3w8+EngXSvhn8NvB9jo+g6JZpa6VplnCBHbwr0UZyT3JJJJJJJJJNbqqqgKqgAdABXiZVw9i8BiKdWpipTUVbl1ttbu9F006I7M5zbBY6tUWGoKEHZJ6c1opK8rK3NK15avVvcWiiivqT54K8X0v4fm6/adOtnTJLYWGpzaozQqdkzPZvahmJznKydscp7EV7RRXn47ALHToycrezmp+tr6HRQxDoKaSvzJr7wooor0DnPyquPjfq2gfCH4X6x4o+Ol/4c8e6r8WpIfGd3LqVtaXsF4Z7sazBN5uRbxwxu6jAGxRbgffXd7z4Am8CfGrWrrwtoHx6m8c6lqFslrcTN4ot9RubO2L4O0RDEaZYklhjPevp/w9+y7+z34U+OGtftJ+HfhJo1p468RWS2mteJorf/SbuECMbWOcDPkxZIALbFyTiu6jt4IjuihRT6qoFfC0+D8VZxqYp8rleyTs9b3eu79Hr3Pt884lyvG11UwWH5b8zbaimpTbbjHlv7kPhjs2ru0b8qfRRRX3R8QFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXj/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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", "info": {"equation": "15*16=240", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "d1fcc258bf6ff6ac972fb79d05c9d9c2683d91fea769411828df16334ee7329a"} +{"episode": 26701, "episode_seed": 2431758599, "split": "train", "timestamp": "2025-10-28T03:45:03.436716", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2431758599, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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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", "info": {"equation": "160/20=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "160/20=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "78ac8337162ebaf7b4b7342f1e59bb796da7d6ddfbe5ef8644fb82586589262e"} +{"episode": 26702, "episode_seed": 3485393812, "split": "train", "timestamp": "2025-10-28T03:45:03.499116", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3485393812, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 6, 4])", "action": "('move', [0, 4, 6, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "92-84=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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16HzOU46GWZrQxkqaqKlOM3CXwyUZJ8svKVrPyZ/MJ/wSv+LfxH+Gf7ZXhyLwh8XtR8I6br0zWni7UbTV47RZNPAMr+ZJN8gwyKQT82eBycH9k/DfxF+GPi7xTp9p/wANTHxnqMUkjaRpmoeNrS+aOUxOrSRRRYYv5TSLnnCs3HcZ/wDwTu/Zu+A/wc+LPgDxb8L/AIWaVoup+JPAN3Lrt9axsZLxvJsZPmLs2Bvdm2rgZPTgY+9ltbVGDJbRgjoQgr81yXh/EZnljksTKEW2uWza+7mW/ofrni14iZdxhxTHHYbB+zUacY3lbnk1d3dk9r8q1eiW2y4z9njwS3gH4XW2jyCcPdahfahIlyAGRrq6luCuMDABkwAecYzk129FFfpGFoLC4aFFO6ikvuVj8Xq1HVqym+rbCv51f+DhPxb8cNd/4KQeI/D3xWm1FdE0iwtE8BW11Fst1014UZ5YAOGDXHnhn5JaPaT8gA/oqrzT4/8A7HP7L/7U99oup/tC/BPQ/Flx4ekd9Hm1W3LNb7ypZcqRuUlFJRsqcdK8vP8AKqub4H2FOfK7p67Pyf5+qP0zwk49wHh3xU8zxmHdaDpyhpbmi3ZqUb2V9OV6r3ZP0f54/wDBP/8AaU8R+LP2QvBut/Hv9unW9O8SyWk0c9pdfECxtpY7dJ5EttyOC4JgWM5f5mzluSa+7f2ZfiBrvj3VF1fS/GJ8QaLPYEnU0vVuIZCuEV1kT5CxKkHb1+bjI49mj0+wijWKKxhVVUBVWIAADoBUqIka7Y0CgdABivOwfDeMw+Kp1Z4yclF3s72fl8T/AC2Plc74gw+b4/E4mnhY0lWnKSjG1o80m7LRaK9ltsLRRRX1h8yfGX/Be/xd8c/Bv/BNvxXf/AyXUYZLm/tbTxVc6XFulh0aQutySR8yIT5aOy9Eds4UsR+P3/BFz4qeLvh/+1RcaFZ/Ge88FeGdX0KdvE99a6zb2CyiFGNsrSzAjPnOAFXk7j2zj+hP9qWCG6/Zj+I1rcRB45PAerq6MMhgbKUEGvnb9gH9nT4Gfs+/HLV9C+C3ww0vw7a6l4LS4v4rFGJuJRdhVZmdmY4HAGcDJwOTn4TiDAVcVxDhowquDmmk19nlTemq3P3DhHxHy7IvC3MuH6uCVSpWldT0s+blV5315qduaFr622td+Y694Y/ZI+PfiAal8WfiroXxRvNN0e6jtovGHi611RNMs2AN1JFEGCQAgJvn2hgET512ive/+CS994kuv2OrGxv5bybw7pviTVrH4d3V9brG8/huG6dNOcYxvj8kAI5+9GqHJBDHG/4KFfs7/BD9oH4s/Drw78aPhnpviKxsND125s7a+DhYpTcaUpcbGUn5SRg5HPSvYv2MLS1sP2U/ANhY20cEEHhq3igghQKkaKuFVVHCgAAADgAU8hwNTB8R4inOq5uMVdvrez11e2y1PisxzujX4QpYRc0pSnfllbkpKPPpT1bvPmvL3YJWtaV7r06iiivuj4Q/mG/4K2+Mvjv4m/4KL/E65+OtxqSarpfiq5s9BhvovL+z6RHMx08QqOBGYDHICPvGRnOWYmv1G+CPxy074mfs0eGR+0F+3Pqg1vXvCUA8XabL8SLK0JlmhxNGyx7WiyGIIUqy54IIr7m+KP7Gn7LXxq+K+hfHL4rfA/Qdd8W+GvK/sTXL+2LTW3lSGWMcEBwkhLKHDAEnGM11XxXtLUfC/wASuLWPI0C8OfLH/PB6+GfCeNWIrVY4pxUm3pe7Wvxarv5n7jxv4sZXxVw7lWXYfAKlPCRSctNGko2p2V1F25nezvZdLv4L+A3gP4S/CL9vL4O2n7InhrR9Ll1rQdTt/HNn4StIXt5/CyWRktrq6KZ2gXy2axTk7pTJINz4O39F6+If+Cc37OXwL+AXxm0ef4NfC/S/D0mufDC7m1eWxRy906z6SVLM7McAu5ABABYnHNfb1d3BtNwyVO97yk/TpZfdf5n5/wAbZnRzLM6apylP2dNRc52U5vmlPmklKW3NyR96Xuxjr0RXO/Fvwv8ADHxr8MNf8LfGnTtKu/CV5pM6eI4dbZVtPsewmVpWcgIqqCxckbdu7Ixmuir84/8Ag5k8XfHLw3+xNoumfDafUYPC+reKFtvHs9hH8pt9m63imccpE8wGezMEUnkA+7mWKjgsBUryjzKK27/8Dv5HNwTkNbifizB5XSrexlVmkp/y21utve091XV5WV1ufaH7Kfwx/ZR+Gvwhg0D9j/SPCkXgyW+nuIX8J3kd3aTXJYLK5mR38x8qFJLEgIF4CgD0mOCCI5ihRSepVQK/nx/4Ia/G7xx4T8XeL/h3rn7R+qeCvAw0r+0BbxeJrfT4JNVaWGNWUzg5cwrJkJ1CLu6LX6pfB/4zDxBdN4f+HX7R1141vI7hbgxDxPBqM0WcIARByIz6MMZJr5PD8aYKOHjH2Ek9FaKVvl+mnkfU+InAeN4Y4vxOBq4v27TUvaSb53zJS9+9/e111ffrY+v6KZAZmgRrhQJCg8wL0Bxzin19yndXPy4K/lK+PfxT/abP7Y+vfFb4sa1q9l8VNP8AGf2m6uryMR3NjqNvMPKVUOVQRGONUUfIFRQPlAr+rWvgL4+/s4/AvX/2tPGPx/1z4XaXdeM9O+JXh2Gw8Qzxs08CLDoqrtBbZkK7ANtyM8HOK+O4yw8quHoSUmvfS/8AAuvqraerP2nwa8Qsv4CxWYPFYRV/bUrLa6cW/dd/+Xc+b37Xfux0ZiXvj/4P/FH4XQeDfjj+2hNrVlquk26eJ9A1L4m2a212xRGmgmEJQmMuGVkDAMuVOQSD0n7GPhXwd8L/APgope+Dv2a/D9hpfh/U/ho9z8UtK8O2EKWFrexXES6PJJ5YxBcSRSX2EG3fGgcqc7z9P/tr+H9E1v8AZH+I2i6tpUE9peeEb2C6geMbZI3iKspx2Kkj8a8o/wCCe3wH+Dn7PfxT8eeDvgn8O9O8N6Zc+H9Furm105GxLMbnVF3szszMdqqBk8AcYrzoZViMDxJhYVMRKo2pO7vfRPTVvR9T5fBcQYeHD+NjyyXOnFUlb2V52TnLX4oWTglB+9GLcly2f1ZRRRX6Gfnx+Ev/AAc8+Lvjjdftd+GvBPiqfUY/Adr4WjuvCVu0e20mumZlvJFI4klBEStnlVK8ANlvS/8Agkp+0V4p1T9j6wsfjT+2frPh9tJ1abTvDOlzeOLOzMOlRRQrEqxygvsD+cqlv4VAHyha/VD9ob9lj9nr9q/wxZ+Df2ifhRpXivTdOvftdjb6kjZt5tjIXRkKsuVYggHB4yDgY6/w94S8L+EtAsfCvhjw/Z2Gm6ZZxWmn2NrbqkVtBGoSONFAwqqoAAHQCvjMTwxja+Z1cTDEuCl2vf0eq0XQ/a818VMqzDwxwHDEcAlVoSu5vl5dL+9HRvnne827a33vp8tfs/eGPB3xN1rQbjwR4xGvWGneI/7VutastTjvPtF0kjzSNNMmVLPI5LYwctxivrWmxxxxLtijVR6KMU6vbyXKf7Iw8qbqOblJybatvbzfbufkGNxf1yopctklawV4d/wUm8SfFTwh+w98QvEXwZvNWtddttKhzeaDb+be2li11Ct9PAuCfNjszcSKQCylAQCQK9xo69a9OvSdahOmnbmTV1urq116FZXjI5dmdDFypqoqc4ycXtLlknyvfR2s9HofmJ8ffjL4L8A+I/gZpXwe/aBj8Nw32urbJdaJr9pGJfDP2OQTyNNIWCRboLcLID8zqVBJ4r2P4ffHXwzNr/8AY/hz9sO58TXmoRGGHSrjxzaXbORhyY44sPvAU8j+Hd2r6K+Bv7GX7LH7NPiDXfFXwH+BugeGNQ8SuG1q60y1KtcYdnCjJIjTc7HYm1enHyjHpS2tqjBktowR0IQV8Rh+EMfTw/s3jHHfSN7f+lLfrofTZxn2TVqtOGCoNwgvjmoqcm23qo8yXLflXvO6V9L8qyPhzda9e+CdPufEyuL14czeYuGPJ2lh2JGCR61t0UV9vQpOjQjTcm+VJXe7st35s+OqSU5uVrXYUUUVqQFFFFABRRRQB80/8FWPEPjHw9+zHY/2Jqmoaf4dv/HOj2XxG1HTFAe18Oyz7btnfrFCx8qOWQfdikfJC7mHzJ8Z/jppHhv9r/4ceHfC37ST+FrW+8MavL4vOkeIbO1i+w+XFJYySTSZ2lp2HlgH50ZiAVBI/SjWNH0nxDpF1oGvaZBe2N9bPb3tndRCSKeJ1KvG6sCGVlJBB4IJFcF+z1+yP+zZ+yjoOoeGv2ePg9o/hWy1W7W51KPT4mLXMqrsUu8jMxCjOFzgbmIALHPyub8P4nMsyhiaddwSVut1v8Oq3vrqvmfbZRxDk+CySWHxGH56sfaKOkeSXtIqPNNv3lKn8ULKSb5fg5W5fMvgTx18PfGXi+H+x/2iD471uK0kjsbe68W22oz28LPG0oijhwQGaOHccH7idO/1x8E/BKfDj4SeHvA0ckzDTNKihzcEb+BznAAzz6V0qW1vE26OBFPqqgU+unJ8inlmJqV6lZ1JSSV2u3nd3PmsZj44qnGEYKKXb/hkFFFFfQnnBWf4ssm1LwtqWnLZpcm4sJoxby52y7kI2nHODnH41oUVM488HG9rjTs0zwj9mn4cCy+II8YLZ3FtHo3h+fR7eBk2xgSy2zlTkZ3KLVBjPAY5HIr3eiivOyjLY5TgY4ZS5rX123d9joxmJeLruo1YKxviF8PfBPxY8D6r8NfiR4YtNa0HW7J7TVdLv4t8VzC4wysP1BGCCAQQQDWzRXpSipJpq6ZjTqVKNRVKbakndNaNNbNPo0cT8C/2cfgb+zP4DX4Y/Aj4ZaX4Z0JbuS6OnadCdrzyY3yMzEs7EKoySThVHQADs44IIjmKFFJ6lVAp9FKEIU4KMFZLoti8TicRjK8q+Im5zk7uUm2231berfmwoooqjEK/J69+NGpaJ/wT18c/EP4p/FW+0v4oC61SbxLcX00MepWPi5Ll2t7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"info": {"equation": "92-84=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "8a499e583b72af88b3527b1ce66856db6788abec0b3e343c109a0b252b4081d2"} +{"episode": 26703, "episode_seed": 1702368225, "split": "train", "timestamp": "2025-10-28T03:45:03.569032", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1702368225, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 0])", "action": "('move', [6, 1, 4, 0])", "reward": 0.0, "image": 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naPlJXIXOCRnBNfPcW4adenhuWbj+8UdP73X1VtPU/WPCbjzAcEPM1icIq/t6Dir20av7sr/8u583v2u/djozmPER/Zs+O2saZ4a+JH7Qdl8S47S+a40fw14m8aWepWxuRG6iYWq4WaRY2kwWVtoZiADyPbf+CUt9fT/s6a3o+l31zdeDNH+IWr6d8M7mfDRtoMTRrElvICfOto5/tUMLknMUSAEqATpf8FFPg58LvjT8OvB3w/8Air4Istb0W68dJJPp90GCOyaZqDIcoVYYYA8Guv8A2IPD+h+E/wBmbQPC3hjSYLDTdNvNUtbCxtYwkdvDHqV0iRqB0AUAD6VzZRl9bA8SThUrOo1Tvd9btKz1ex8tic5o1eEfqq5ryqK0Xbkgopvmjrfnk20/dikr6ycvd9Yrw7/gpV4m+MXg39g34p+J/gE98niyy8JzyaZLpkW+5hXKiaSIdd6wmVgR8wKgjkCvcaCAwKsAQRyDX2dem61GVNO101dbq63+R8vleMjl2Z0MXKmqipzjJxltLlknyvydrPyZ/NL/AMEb/H3xM0j9svw/4C8O+J7yHw5r96Z/FGmpOPJvDb29w1s7q33mSV8qV+Ybm/h3V+yf7M3xB1T/AIS7W/BHhH4hve6haeOL2a58OpqaSGxSS4IAaFfmijcZf5uCWZgfTqvif+yj+zl+zD4Fib4AfB/RvCh8R/EHT7vWzpNuU+1SgTbSck4Vd77UGFXc2AMmvR/2Oo0HwovJAg3HxdrOWxyf9Omr82wnDuJo5vHCOu01DmvG+3P8K1Xr69D9W8TOPsv44zqecYXC+zg1GFpW5m4x+KVrq+vKtfhjHXoerUUUV+nH42fml/wc9eKfjLon7HXhXQ/A8t/F4T1fxb5PjaSzj/duEj8y0imYciMyqzAH5S8aZ5Cg/Mf/AARG+O/iLT/gN4k8FfEP9rDVfCOg6LrUSeFNKHjC1sI181ZJbry0mBYrvaNjj5QztjktX6z/ALengnwp8SP2ZNW8BeOtBh1TRtW1vRLfUtPuc+XcRNq1plW2kHH0INYn/BPj4Z/D/wCFnwo8QfD/AOHfhCx0fRdM8Yzx2GnWcWI4VNpaMcZySSzMSSSSSSTXwuaZZXxnE3JTrypuVO910s7W3Wj39T9lwniDl1DwgfDUsEpVPb83Ppa1+bm2v7T/AJd7W9n16HNfssaD4V8b+MNB8W+DPF39vWGi397fya1a6lHeLdXUsNxFK0syZVnZrmRiBg7h0ABFfUVIkccS7Y0Cj0UYpa+kyfK/7Jwroubm3Jybatq7eb7dz8lxmK+t1VPltZWsFFFFesch8m/8FvvE/wAYvCX/AATR+I2q/BSW/i1BrW3g1afTY90sWlyTol42Ryq+SXDMOVQseACR+fn/AAav618Vo/jz8TPDumwXTeB5fCcFxrEgtgYU1RblFtAZOquYXvMKPvBST90V+wP7SEENz+zv49triMPHJ4L1RXRhwwNpKCDXhf8AwTj+Bfwg+AHifxt4R+DHw+0/w7ptzo2h3dza2CtiWdpNSUyMzszMcKo5PAHFfJ5hh5PirCT5nrGWn+FN/jfU/XuH+O8DlfhTmfDs8IpVK9SMlU0sk+X4ut4ct4W6ye1tfqiiiivrD8hPH9U+Df7El5+17ZfFPV/D3ghvjUmj5sZ5r6EaybMRvF5q25fcyiPzE83YSFBXdgYHri2tqjBktowR0IQV/MX+0j8Y/wBqnQf+CoXin4neIPF+taN8SdO+Is8FrfvItvPZIspggjTd8iRC3KIoPyGM85Ukn9nPBPx08JnxNHYaD+2ddeIbu8DW9vpNx49s7rzmb+5HGA5fjjac9a+Fhxlg6EqsZUGnzPa2vnLaz77n7R4i+GmYcLUMsnVx6xCrUU1dt8lrPlhq/wB373uPS/vaI+3KKxfh5c63eeCdNuvEQf7Y9uDMZBhjycFgehIwT71tV9rQqqvQjUStzJOz3V1fU/GqkPZzcezseS/t5eIPi54V/Yy+JviT4Di8/wCEvsvBl9NoLadD5lwk4iJ3RL3dRuK4BOQMAnAr+fz/AII8/FHxh4I/bMtzbfGO98I6RrWj3sfivWIdZhszLCsTSxq804IGbhYenzE+xNf0u149+zJ8GP2IPhr4k8a337KHhzwPbapqGsY8df8ACK3sM8kd4rynyrhUdvIZWaXEWFAO7CjFfPZ5klfNMZRqU63s+W/e/rHVa99VofrfBHiDg+GeBs4yergfbSxSjadlaN/d99tPSPxU9/f7XufF/wAavCP7F/xi8H+LfHfxh+Kmk+PbvTvCckU/iHWvFFtqd5olorM8Ztdpxbt55UqVUNJIVQlgQtfeP7J+r/E7X/2X/h3rnxrguYvGF54J0ybxRHe2whmW/a1jM4kjAAR/MLZUAYORXzL/AMFI/wBn/wCCnxY+K1x4p+JPw00zWtQ8L/DSS60C4vY2P2Kbzrpt6qCFY7o0PzAj5RxX2rYktZQsxJJiXJP0ri4bwdTB5rjKc6jm48ibfW6bu9Xqttz5XO84pYvhzCYZczalKXvWtTS91Qp6t2lo56R1UUo+7dy1+dX/AAcw+KPjF4f/AGENM074ezX8Xh7VfGFvbeN5bKP5TaeW7wxzMOVja4WL2LBFPUA/orXMfGjwr8JvG3wn8QeFvjvYaRc+DrzS5V8SR69KsdmLQLudpXcgRqoG7fkbdoYEEZr6XMsLLG4CpQjLlck1f+unfyOPgrPKXDXFmCzSrR9tGjUjJw6v0/vLeP8AeSPxM/4IdfHPxPo/wo8YeBvHn7U+q+DvDOlanbP4Y01fFtrp8XnTCZrsxrMCxGRCSB8oLEjlmr6j1bwZ8DfDHxI+Gvxe/ZzvtN1j4l6n8YrH7H4p0y9h1PVNaFzOia0txOCxliXTnuHk/hgVEKiPPP35+zn8Pv2d/h/8G9G8Mfsw6R4dh8DwpK+iDw1cR3Fm4aV2kdJUZhJmQvltxOc88V8t+APgH8GdE/bwj+PWk/DjTYPGWo/FLVrS98QqjG4kgFlers5bao2xoCVAJC8nk5+CxOQ4nAPCc+Jck6kElraN+sdfu0R+g5tx5g854yzLNoUJUIzUn7NJfvLJR5ayuklPWVTSercUteZfb9FFFfpZ+LHw58a/Hkdh+2x8WrL42+M5NM03SvBmkP4Ug1OeO3tY9Ba3dr67gLECQm98xJnOdvk26nAK7vM/2RP2k7W5+AHgfxN8Rf259Sh1kaXFNc6fqXjrT7f5FdvJWW32jZmER7kOCMkHBzX3Z8dP2Tv2b/2mb/QNT+Pfwd0XxVceF7xrrQZdVty5tJGKFsYI3KxjQlGyrbBkHFd+bO0JybWMn/cFfGVuGMbVx9avDFOCm76Xv6PVbbLfTsfb4ziPJ6uU0aNPDfvbU1NtRUY+zhyLkau37T46l1H3kvi3OH/Z+1jxHrXhKa81y6luITc5sbmZyxkQgE4J+8ueh9yO1d5QAAMAUV9PgMLLBYOFCU3NxVrvdnx1eqq1aU0rX6BX5PeOPjb4n8O/saan418TfF2/0b4rS/Esx6rcXN1bw6ha+If7aVHtPLkysUcduqqoxhbVEkB2/Of1hrztP2TP2bo/2gZP2qU+DeiD4hy2X2WTxX9m/wBKaLyhF1zt3eWBHvxu2fLnHFeZn2T1s3jSVOpyckr/APBXmunq9T6fhfO8qyiNVY2j7RNwnGyi7yp837uV9qdTm99q791e6+ny3oXxJ+GPivxXY6fH+1e/jK7juXfSNI1DxxaXv74xunmRxR4ZpBG8i98K7cdx9c/Ajwc3gP4V6Z4dfzg2+5unWcAOrXFxJcFSABjBlIA6gDnmurW1tUYMltGCOhCCpKjKciqZbi5YirXdSUly6rpe+7bPDxePjiaKpxgopO+n/DIKKKK+iPOOB/aO0VdZ+HqM+lrciz1KG6DEEmApuxIMemcc8YJqb9nfwe3gz4ZQ2TiYPe6heX8iTjDKZ53lxjAwPm4zziu469aK82OXJZs8dzauHJb53vc6XiW8IqFut7/KwUUUV6RzHy5/wUb8T+ItD8afBjTNR1q60/wTf+NrkeI7iMqlvLfx2byaXBcyEjZG1wCyjIDzRwrySqt83+Afj9oS/tEfFvw6/wC2De+HNA03VtLTT7G18X2NjAuoGyAv0j3gtJtKW4YknbIXTgqwH6J/FT4VfDr43/D7VPhV8WfCFlr3h3WoBDqek6hHuiuEDBhnGCCGVWBBBBUEEEA1D8Kfg38Lfgd8PtN+FXwl8DafoPh7R4mj03SrCHEUCs7O2M5JJZmYkkkliSSTXyeZcO4vHZo8VTxDppxS0vdeS1Wj3336H2eH4gyijw6sLPD81dLkvaPLy+09p7S/xe0/5d2tbk+19k8s/ZU+IepeOtQt7jw/8R5PFmjR2TQz6t/aiXiO0fAJlj+QybuDjBPORxx7zSJHHEu2NAo9FGKWvayrAVMtwvsp1XUd27vz+b/Pc+VxeIjiavPGKjpayCiiivSOYx/iFpS674C1rQ5NOS8S90q4gktJM7ZleNlZDjnkEjj1rzr9l7wY+lX+v+M5Yp4zqFvZWKpIuF22zXLZHGc5uGB5x8oHBBr12ivNr5cq2Z0sY5fw1JW782n9fI6YYlwws6Nvia19Aooor0jmPO7/APZM/Zu1P9oC3/ao1D4OaLN8QrWz+y2/ip7cm5SLy2i9dpby2ZN5G7aducACvQFtbVGDJbRgjoQgqSiohTp078qSu7u3V935nTiMZi8WoKvUlPkiox5m3yxW0VfaKu7JaIKKKKs5jyX9vLxB8XPCv7GXxN8SfAcXn/CX2Xgy+m0FtOh8y4ScRE7ol7uo3FcAnIGATgV+AH/BHb4vePfAv7YEen2fxv1PwfoGv6ZdnxjqMGuxWS3CRwySQGSWfKlvtBTB+987AcM1f0s1518FP2Sf2a/2ctY8Q6/8Dvgzonhq88V3guvEE+m2203kgZ2GckhVDSOQi4UbjgCvms7yPE5pi6VWlWdPkTWl7q/VWa1ez1Wh+tcFeI2XcLcE5tklfBqrPFpKMtLLS3v31tD46dk7Tvte58xeD5fAXxoutV8K+HfjpJ451XVtM+wXNwfE9vqN1a2r71AURDCIGkZslcZPJ7V9wQRCGBIQchEC8+wpI7eCI7ooUU+qqBT66cmyaeVSqynVdSU7XbXa/m77n5njcasWopQ5VG+3n9wV+dX/AAcw+KPjF4f/AGENM074ezX8Xh7VfGFvbeN5bKP5TaeW7wxzMOVja4WL2LBFPUA/orWH8Sfht4D+MPgPVfhh8T/C1prega3Zta6rpV9HuiuIm6qR1HOCCMEEAgggGu/McLLHYGpQjLlcla/9dO/kezwZn1DhfirB5tWpe1hRmpOOmqXa+nMt4/3kj8Qf+CHXxz8T6P8ACjxh4G8eftT6r4O8M6Vqds/hjTV8W2unxedMJmuzGswLEZEJIHygsSOWav0x/Zh0Pwj8QPF+h+I/Bnjf/hIrTR9YudRutbttUivftN00E8T+dMmVLn7QSQMHgdq9/wDg/wDA/wCEnwB+Hth8Kfg34A07w/4d0zzPsOlWEOI4i7tI5+Ykks7MSSSSTXURxxxLtijVR6KMV8xg+FMRRqUZ1cU5Km1Lls7XXRXen3bHt8dcaYTivibG5nhsKqUa70Wl7WUbysvilbmlq/eb1e46iiivtD89CiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArkPj58d/hX+zF8G/EPx9+NviqLRPCvhbTmvdZ1KVGfyowQAFVQWd2YqiooJZmUAEmuvr5N/wCC3vwV+J/x5/4Js+OPB3we8JXniHXNP1PQtei8O6dHvuNUg03WLO+ntok/jkaG3k2p1Zgqjk0Aeyfsl/tefA/9tf4UH4w/AbXb2602DVrnS9TstW0qawvtMv7dgs1rdW06rJBKuVJRgDh1PQivTq+Lv+CNvhbx/qEH7QX7S/iv4a+JPB+j/GP496j4m8G6B4u0iTT9RGmCxsrRLme1kw9u8sltI2xwG2hSeor7RoAKKKKAPG/2yv28f2c/2DfC+geLf2idf1OytfEuuxaTpK6VodxfO9xIyqC4hRhFGC6Au5C5dRySBXslfDH/AAcI+LNStf8Agn/c/DXw18LPHXivWvE/i/QW02x8EeC73WHjWy1eyvZ3mFrG5hXyYJCrNgMwCjk19lfDH4gaV8V/hzofxN0LStWsLLxBpUGoWllr2lS2N7BHLGHVJ7eYLJBKAcNG4DKQQQCKAN2iiigArwL4lf8ABS/9k34RftWaF+xz8QvFOtad4s8Rajbabpt7N4Wvf7IbUbmEzW9g2o+V9mF1JGAyxb92CM4zXvtfnH+3d8a7/wCNX/BVz4Q/so/FP4K/FK3+Ffww8SaT4uXxD4e+GWp6lY+JvF0h2abC97BC0NpY2QnM88rtzJhG2rGzUAfo5RRRQAUUUUAeBfs7f8FLP2Vf2oPj94i/Zm+GOu+IYvF3hzTH1N7HxD4RvtMTUtPS5Nq17ZSXMSLd24mGzzY8qSRjI5r32vzV/YO0rxT8QP8AgtJ8RP2k/hj8FPjToHgrWPhRNYfEC7+Nej3MP2LxENXEsFhoz3RYraCIzu0dsxts7Cvav0qoAKKKKAI7q6trG1kvb24SKGGMvLLIwCooGSxJ6ADnNeU/sY/ttfs9/t9/CGf46fszeKLnWfDMGv3mjjULnT5Lbzbi2ZVkKLIAWT5gVccEGsT/AIKX/D/9oX4sfsO/ED4XfsuaJDqXjDxHpkWm2+nza4mmG5sprmKO/iS7dWW3kaza5VJCrbWZTtJGK+ev+DfLwV8e/ht+z98XPA/xt/ZXf4UQQ/H/AMUXXh7Q21Q3KfZ5rrLRQEwReZbQlVjiuVBS4QCRQo4oA++qKKKACvGv2xP26fgr+xDpvhe9+LukeL9TufGWtS6V4c0jwR4Qu9bvry5jtpLl1W3tEeQhYYpHJA4Ck9q9lr4d/wCC5Hgj4aeJ/gz4V8ReOfBP7QF/rHh681W88C6x+z5a3b6jpetvp0tvA072f7+KOQTOgYfuz8wkIU4IB9meAfGWnfETwNo3xA0jTtSs7TXNKt7+2tNY06Szu4Y5o1kVJ4JQJIZQGAaNwGVgQQCDWtXkn7BKftCR/sUfClP2sGuD8Sh4C0v/AITc3hUz/wBpfZk87zdvy+buzvxxv3V63QAUUUUAeI/Gz/goZ+zF8Av2hvDP7LfjrxHrE/jPxPBBcx6doXhq81FNLtZ7j7NBdX8tvG6WMEk+Y1klKqWB5wM17dX48/8ABRH4BftkeC/+CxuqfGr9n/SvjCuufEAfDtPhxq/gcXP/AAjPlWGovFrttr7R/uViSyeWVEn+U/aGKZfp+w1ABRRRQAV81/Av/gqp+zR8fv2nm/ZB8OeFviTofjc6Te6nb2XjT4balo8N1Z2kqxTTxS3USLJHvdQGXIJYYPNfSlfHn7JvgLxz8Vf+Cpv7RP7X/wAQfBmr6ZpfhnTdH+F3wzl1jTpbf7VY20f9o6pdQeYo8yGW9uURZUyr/ZTgnFAH2HRRRQB//9k=", 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", 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", "info": {"equation": "26+27=53", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "26+27=53", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "95499df992c99cbd5f716dd2525879a1d86dc6a563bc5b886b39c6cbd7d62a96"} +{"episode": 26704, "episode_seed": 3467584913, "split": "train", "timestamp": "2025-10-28T03:45:03.622239", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3467584913, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 5])", "action": "('move', [5, 1, 2, 5])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "5*9=45", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "5*9=45", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "cf3d7b8a5360d08f8f3e44d33232217964f3dc05e01006652c87781bad3317e3"} +{"episode": 26705, "episode_seed": 3045491395, "split": "train", "timestamp": "2025-10-28T03:45:03.692532", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3045491395, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 7, 4])", "action": "('move', [1, 6, 7, 4])", "reward": 0.0, "image": 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", 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CzSLG0gBZW2hmIAPI9o/4JNE237N2uaB4caR/BGkfEbWrL4aTGNfKfRElQqIHXPnW6XLXccUhJ3Rxrywwx1/+Cinwc+F3xp+HXg74f/FXwRZa3ot146SSfT7oMEdk0zUGQ5QqwwwB4Ndf+xB4f0Pwn+zNoHhbwxpMFhpum3mqWthY2sYSO3hj1K6RI1A6AKAB9K5soy+tgeJJwqVnUap3u+t2lZ6vY+WxOc0anCLwq5ryqK0Xbkgopvmjrfnk20/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/ABzguO85wmKw2F9gqdCEWtLt3btp9mN7Q621sr2RX4K/8HN/ij4yX/7beieEvGEt+vg6w8IwTeDoJI9tq8krH7ZIhHDyGREVieQEjHAxn96q8++Pv7Kf7On7Utpo9j+0J8IdH8WRaBfG70dNWgLfZpSAGK4IyrBV3Kcq21cg4FepnuW1c2y94enPld0/J26P+t0jy/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+1oVVXoRqJW5knZ7q6vqfjVSHs5uPZ2PJf28vEHxc8K/sZfE3xJ8Bxef8ACX2Xgy+m0FtOh8y4ScRE7ol7uo3FcAnIGATgV+AH/BHf4vePfAn7YEenWnxv1PwfoGv6ZdnxjqEGuxWS3CRQySQGSWfKlvtBTB+987AcM1f0s18Q/wDBN/8AZ/8Agr8I/ivp3iL4bfDXTNHv/E3w6urvX7u2jYyXs32jTW3OXJx80jnAwMseK+Q4kwVXFZrhIwquDlzK66WV7rVb7M/X+BePsBw3wJnOT1sGqs8So8snayuuX3r6+58cLXtO+25H4Pl8BfGi61Xwr4d+OknjnVdW0z7Bc3B8T2+o3VravvUBREMIgaRmyVxk8ntX3BBEIYEhByEQLz7Ckjt4IjuihRT6qoFPr2MmyaeVSqynVdSU7XbXa/m77n5XjcasWopQ5VG+3n9wV+dX/BzD4n+MWgfsH6Zp3w9mv4vD2q+Mbe28by2UeVNp5bvCkzDlY2uFi9iwRT1AP6K1zHxo8K/Cbxt8J/EHhb472GkXPg680uVfEkevSrHZi0C7naV3IEaqBu35G3aGBBGa7sywssbgKlCMuVyTV/66d/I9rgrPKXDXFmCzSrR9tGjUjJw6v0/vLeP95I/Ej/ghn8Zta8O/C3xt4N8ZftOX/grw5Z6xaz6DYQ+KbTTkluZY5PtTgSgs52x22T90duSa+rL/AMMfBnwd8RPh38WP2adZstU+JOufF2xij8T6RqMWo6nr8dxcxjWo7qYMxngWw86SRT8kAijZRHxn73/Zz+H37O/w/wDg3o3hj9mHSPDsPgeFJX0QeGriO4s3DSu0jpKjMJMyF8tuJznnivlvwB8A/gzon7eEfx60n4cabB4y1H4pataXviFUY3EkAsr1dnLbVG2NASoBIXk8nPwWIyHE5e8Jz4lyTqQSSvaN+sdfu0R+g5tx5g854yzLNoUJUIzUn7NJe/ZKPLWV0kpayqaT1bilrzL7fooor9LPxYKwviho6+IfhxrugSaYl6l9pM9vLaODiZHjKsvHJypI4rdorOtT9rSlC9rpq/qVCXJNS7Hk37MHg2TSpde8bTCdW1b7LbBZFwpW3847l4z1mYE9Pl7YNes0UVy5bgll2BhhlK/Kt9r63NcTXeJryqNWuFfk944+Nvifw7+xpqfjXxN8Xb/RvitL8SzHqtxc3VvDqFr4h/tpUe08uTKxRx26qqjGFtUSQHb85/WGvO0/ZM/Zuj/aBk/apT4N6IPiHLZfZZPFf2b/AEpovKEXXO3d5YEe/G7Z8uccV52fZPWzeNJU6nJySv8A8Fea6er1PpuF87yrKI1VjaPtE3CcbKLvKnzfu5X2p1Ob32rv3V7r6fLehfEn4Y+K/Fdjp8f7V7+MruO5d9I0jUPHFpe/vjG6eZHFHhmkEbyL3wrtx3H1z8CPBzeA/hXpnh1/ODb7m6dZwA6tcXElwVIAGMGUgDqAOea6tbW1RgyW0YI6EIKkqMpyKpluLliKtd1JSXLqul77ts8PF4+OJoqnGCik76f8Mgooor6I84KKKKACiiigAooooA8J8FfDdpv2h11U6VJZro2uahqrLCpEbyXEVzGWYsDkObl34IyenAIr3aiivNyvLlltGcFLm5pOV35nTisS8TNStayS+4KKKK9I5jH+IWlLrvgLWtDk05LxL3SriCS0kztmV42VkOOeQSOPWvOv2XvBj6Vf6/4zlinjOoW9lYqki4XbbNctkcZzm4YHnHygcEGvXaK82vlyrZnSxjl/DUlbvzaf18jphiXDCzo2+JrX0CiiivSOY87v/wBkz9m7U/2gLf8Aao1D4OaLN8QrWz+y2/ip7cm5SLy2i9dpby2ZN5G7aducACvQFtbVGDJbRgjoQgqSiohTp078qSu7u3V935nTiMZi8WoKvUlPkiox5m3yxW0VfaKu7JaIKKKKs5jyj9unXvil4X/Y7+JPiH4Kvfp4os/CN5LpEulQebdROIzukhTB3Sqm5lABO4DAJwK+HfH3xm8CeC/id8D/AA98Lf2kX8OaTfaLqS3t7pfiK0h8/QVsEMMss8u7bm7htVUg5dhKOdrY/TmvOvgp+yR+zV+zlrHiHxB8Dvgzofhm88V3guvEE+mW203kgZ2XOSQqhpHIRcKNxwBXzWdZHic0xdKrSrOHImut1fqrNa9HqtD7DJM9yrL8pq0MTQ56nvuGkbSc4KHvt6pU7c8LKXvXXu35l4R8EPjGPEGtjQPh1+0fc+N7xbmOdrd/FNvqMkS/c5EGCsZzzkY719eDOOaZHbwRHdFCin1VQKfXZlGVVssU/aV5VXK2/S3zf9JHzmMxUMU48sFG3b/hkFfnV/wcw+KPjF4f/YQ0zTvh7NfxeHtV8YW9t43lso/lNp5bvDHMw5WNrhYvYsEU9QD+itYfxJ+G3gP4w+A9V+GHxP8AC1prega3Zta6rpV9HuiuIm6qR1HOCCMEEAgggGuzMcLLHYGpQjLlcla/9dO/ke1wZn1DhfirB5tWpe1hRmpOOmqXa+nMt4/3kj8Qf+CHXxz8T6P8KPGHgbx5+1Pqvg7wzpWp2z+GNNXxba6fF50wma7MazAsRkQkgfKCxI5Zq/TH9mHQ/CPxA8X6H4j8GeN/+EitNH1i51G61u21SK9+03TQTxP50yZUuftBJAweB2r3/wCD/wAD/hJ8Afh7YfCn4N+ANO8P+HdM8z7DpVhDiOIu7SOfmJJLOzEkkkk11EcccS7Yo1UeijFfMYPhTEUalGdXFOSptS5bO110V3p92x7fHXGmE4r4mxuZ4bCqlGu9Fpe1lG8rL4pW5pav3m9XuOooor7Q/PQooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK5D4+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==", 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", "info": {"equation": "40-14=26", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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6z/wTP8PJ8TYLlbWy1/ULbwi9zbiMyaSroUKkcugna5UMey46AV69/wAFGPhJ8Nvjd8OPB3w8+LPg+113RLrx2kk+nXhcI7ppmoshyjKQQwB4NdZ+xD4f0Twp+zNoHhfwzpUFhp2m3mqWthZWsYWOCGPUrpUjUDoAoAH0ow2HcOL60+Z6007fNK3ppc+qzTjzA47whwfDUcIo1KVZydTSzXvO66875uWV9LLre0fWK8O/4KVeJvjF4N/YN+Kfif4BPfJ4ssvCc8mmS6ZFvuYVyomkiHXesJlYEfMCoI5Ar3GggMCrAEEcg19RXputRlTTtdNXW6ut/kfl+V4yOXZnQxcqaqKnOMnGW0uWSfK/J2s/Jn82v/BF34u+NfAP7Ul14dt/jnqXgvwvrWi3Evii6ttehsY52hRjbF5JsqWEsmBj5iHbsWr9lfgL8X28S67DoPw7/aGuPHFxFfRzTRP4ng1F4VbC4fyMbYyFP3h/eINe4/Av9kz9m39mb+2/+FCfBvRPC3/CR3wu9b/su22/apRu2k5Jwq732oMKu44Aya9BjggiOYoUUnrtUCvi8JwljqNOMXi5JJ35Y3tvfTVflufpfiZ4iZbxxxRPM8Lg/ZxcIx963M7L4pWTV9eVav3Yx9E+iiivuT8mCszxpPr9r4O1a68KQ+ZqkemTtpse0HfcCNjGMHg5bHB4rTopNXVioS5JqVr26PZn81f/AATF8c/tL3//AAV38CeKRLrF3431X4hSJ43a7td9y1vLI66qZ1cfJthM5bgbNvGCoFf0qV8R/Bb4CfBrwx+3NF8cdA+HOnW3i7XPiX4nt9V8QIjG4uIhHqo2kkkKP3cedoGdozmvtyvlOEaDoYStFybtUktfK2vz6n6z4v8AHOC47znCYrDYX2Cp0IRa0u3du2n2Y3tDrbWyvZFfgr/wc3+KPjJf/tt6J4S8YS36+DrDwjBN4Ogkj22rySsftkiEcPIZERWJ5ASMcDGf3qrz74+/sp/s6ftS2mj2P7Qnwh0fxZFoF8bvR01aAt9mlIAYrgjKsFXcpyrbVyDgV6me5bVzbL3h6c+V3T8nbo/63SPL8K+NsDwBxfTzbF0PbQUZxsrc0eZfFG+l+j1XuuR+c37H3xg0L4kfsReDtB/aM/bKvo7jU/C7Weu+Hbv4g2dnG1lukijt5I12vGjWwjUjcGIY5IJNe7fsI+E/Afw0/br1/wAG/s5+H9O0zwre/Cq3u/HWn+HbOFbCDUku4k0l2Mf+rnltHvjtGN8caSEEkM31X+0bpemy/s7ePLWTT4TG3grVEZPLGCv2SUY+mK8Q/wCCcfwL+D/wA8T+NvCXwX+H2n+HNOutG0O7ubXT1bEs7SakpkZnLMx2qo5PAHFfL0soxGX8QYWNTESqXUnrfSy21b0YVeKMNjMDmdaNN01Xk7Uo29kueV7vVa09ORKO6T5ly2f1RRRRX6AfnB4/qnwb/YkvP2vbL4p6v4e8EN8ak0fNjPNfQjWTZiN4vNW3L7mUR+Ynm7CQoK7sDA9cW1tUYMltGCOhCCv5i/2kfjH+1ToP/BULxT8TvEHi/WtG+JOnfEWeC1v3kW3nskWUwQRpu+RIhblEUH5DGecqST+zngn46eEz4mjsNB/bOuvEN3eBre30m48e2d15zN/cjjAcvxxtOetfCw4ywdCVWMqDT5ntbXzltZ99z9o8RfDTMOFqGWTq49YhVqKau2+S1nyw1f7v3vcel/e0R9uUVi/Dy51u88E6bdeIg/2x7cGYyDDHk4LA9CRgn3rar7WhVVehGolbmSdnurq+p+NVIezm49nY8l/by8QfFzwr+xl8TfEnwHF5/wAJfZeDL6bQW06HzLhJxETuiXu6jcVwCcgYBOBX4Af8Ed/i9498CftgR6dafG/U/B+ga/pl2fGOoQa7FZLcJFDJJAZJZ8qW+0FMH73zsBwzV/SzXxD/AME3/wBn/wCCvwj+K+neIvht8NdM0e/8TfDq6u9fu7aNjJezfaNNbc5cnHzSOcDAyx4r5DiTBVcVmuEjCq4OXMrrpZXutVvsz9f4F4+wHDfAmc5PWwaqzxKjyydrK65fevr7nxwte077bkfg+XwF8aLrVfCvh346SeOdV1bTPsFzcHxPb6jdWtq+9QFEQwiBpGbJXGTye1fcEEQhgSEHIRAvPsKSO3giO6KFFPqqgU+vYybJp5VKrKdV1JTtdtdr+bvufleNxqxailDlUb7ef3BX51f8HMPif4xaB+wfpmnfD2W/i8Par4wt7bxvLZR5U2nlu8KTMOVja4WL2LBFJ5AP6K15F+3X4S8N+PP2XfEPgrxjo8WoaVqt5pVrqNjPnZPC+p2quhwQcEEjgg11ZzSdbKq8E7e6/wAFf8dj2+CM8o8N8XYLM61JVY0qkZOL6q/S+nMt4/3kj8fv+CGfxm1rw98LfG3g3xl+05f+CvDtnrFrPoNhD4ptNOSW5ljk+1OBKCznbHbZP3R25Jr6sv8Awx8GfB3xE+HfxY/Zp1my1T4k658XbGKPxPpGoxajqevx3FzGNajupgzGeBbDzpJFPyQCKNlEfGfrD/gnp8Kfhv8ACH4beK/h78MvBdhouiaf41b7Hp1nFhI9+m6e7HLEkkszEkknJryLwB8A/gzon7eEfx60n4cabB4y1H4pataXviFUY3EkAsr1dnLbVG2NASoBIXk8nP57TyrEU8Nga8q8mpzglHX3b9tenoj9DznjrA5vxpmea06MqUJqTUI2tUtFRUauqXLPWVS3PdtpLXmX2/RRRX6ofiYVhfFDR18Q/DjXdAk0xL1L7SZ7eW0cHEyPGVZeOTlSRxW7RWdan7WlKF7XTV/UqEuSal2PJv2YPBsmlS6942mE6tq32W2CyLhStv5x3LxnrMwJ6fL2wa9Zoorly3BLLsDDDKV+Vb7X1ua4mu8TXlUatcK/J7xx8bfE/h39jTU/Gvib4u3+jfFaX4lmPVbi5ureHULXxD/bSo9p5cmVijjt1VVGMLaokgO35z+sNedp+yZ+zdH+0DJ+1Snwb0QfEOWy+yyeK/s3+lNF5Qi6527vLAj343bPlzjivOz7J62bxpKnU5OSV/8AgrzXT1ep9NwvneVZRGqsbR9om4TjZRd5U+b93K+1Opze+1d+6vdfT5b0L4k/DHxX4rsdPj/avfxldx3LvpGkah44tL398Y3TzI4o8M0gjeRe+FduO4+ufgR4ObwH8K9M8Ov5wbfc3TrOAHVri4kuCpAAxgykAdQBzzXVra2qMGS2jBHQhBUlRlORVMtxcsRVrupKS5dV0vfdtnh4vHxxNFU4wUUnfT/hkFFFFfRHnBRRRQAUUUUAFFFFAHhPgr4btN+0OuqnSpLNdG1zUNVZYVIjeS4iuYyzFgchzcu/BGT04BFe7UUV5uV5cstozgpc3NJyu/M6cViXiZqVrWSX3BRRRXpHMY/xC0pdd8Ba1ocmnJeJe6VcQSWkmdsyvGyshxzyCRx6151+y94MfSr/AF/xnLFPGdQt7KxVJFwu22a5bI4znNwwPOPlA4INeu0V5tfLlWzOljHL+GpK3fm0/r5HTDEuGFnRt8TWvoFFFFekcx53f/smfs3an+0Bb/tUah8HNFm+IVrZ/ZbfxU9uTcpF5bReu0t5bMm8jdtO3OABXoC2tqjBktowR0IQVJRUQp06d+VJXd3bq+78zpxGMxeLUFXqSnyRUY8zb5YraKvtFXdktEFFFFWcx5R+3Tr3xS8L/sd/EnxD8FXv08UWfhG8l0iXSoPNuonEZ3SQpg7pVTcygAncBgE4FfDvj74zeBPBfxO+B/h74W/tIv4c0m+0XUlvb3S/EVpD5+grYIYZZZ5d23N3DaqpBy7CUc7Wx+nNedfBT9kj9mr9nLWPEPiD4HfBnQ/DN54rvBdeIJ9MttpvJAzsuckhVDSOQi4UbjgCvms6yPE5pi6VWlWcORNdbq/VWa16PVaH2GSZ7lWX5TVoYmhz1PfcNI2k5wUPfb1Sp254WUveuvdvzLwj4IfGMeINbGgfDr9o+58b3i3Mc7W7+KbfUZIl+5yIMFYznnIx3r68Gcc0yO3giO6KFFPqqgU+uzKMqrZYp+0ryquVt+lvm/6SPnMZioYpx5YKNu3/AAyCvmL/AIKUeJdf0AfCa1vdbutN8GXvxIiTxhdxEJAWS0nl0+K5kJHlwvfJbjkgM4jUn5gD9O1h/Er4a+A/jF4D1X4YfE/wraa34f1uza11XSr+PdFcRN1UjqDkAgjBBAIIIBrszLCzx2BqUIy5XJWv/XTv5HRkmOw+XZpTr14c0FdNaN2lFxvG+nNG/NG+nMkfnZ4Z+PmjWv7UnxT8Jt+11e+GNA01NF8uwtPFllYQJq7W8qXqKXBaRlihsg4JOxyy8EED6G/Zh0Pwj8QPF+h+I/Bnjf8A4SK00fWLnUbrW7bVIr37TdNBPE/nTJlS5+0EkDB4Havfvg/8DvhH8APh7YfCj4NeANO8PeHdM8z7DpVhDiOIu7SOfmyWLOzMSSSSa6mOOOJdsUaqPRRivmMHwpiKFSjOriXJU2pctna66K709bbHqZxnmBxWJqfU6HLBxUU3ZSajFR5pJXSlK3NJKTs3u926iiivtD5YKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACuQ+Pnx3+Ff7MXwb8Q/H342+KotE8K+FtOa91nUpUZ/KjBAAVVBZ3ZiqKiglmZQASa6+vk3/gt78Ffif8ef+CbPjjwd8HvCV54h1zT9T0LXovDunR77jVINN1izvp7aJP45Ght5NqdWYKo5NAHsn7Jf7XnwP/bX+FB+MPwG129utNg1a50vU7LVtKmsL7TL+3YLNa3VtOqyQSrlSUYA4dT0Ir06vi7/AII2+FvH+oQftBftL+K/hr4k8H6P8Y/j3qPibwboHi7SJNP1EaYLGytEuZ7WTD27yyW0jbHAbaFJ6ivtGgAooooA8b/bK/bx/Zz/AGDfC+geLf2idf1OytfEuuxaTpK6VodxfO9xIyqC4hRhFGC6Au5C5dRySBXslfDH/Bwj4s1K1/4J/wBz8NfDXws8deK9a8T+L9BbTbHwR4LvdYeNbLV7K9neYWsbmFfJgkKs2AzAKOTX2V8MfiBpXxX+HOh/E3QtK1awsvEGlQahaWWvaVLY3sEcsYdUnt5gskEoBw0bgMpBBAIoA3aKKKACvAviV/wUv/ZN+EX7Vmhfsc/ELxTrWneLPEWo22m6bezeFr3+yG1G5hM1vYNqPlfZhdSRgMsW/dgjOM177X5x/t3fGu/+NX/BVz4Q/so/FP4K/FK3+Ffww8SaT4uXxD4e+GWp6lY+JvF0h2abC97BC0NpY2QnM88rtzJhG2rGzUAfo5RRRQAUUUUAeBfs7f8ABSz9lX9qD4/eIv2ZvhjrviGLxd4c0x9Tex8Q+Eb7TE1LT0uTate2UlzEi3duJhs82PKkkYyOa99r81f2DtK8U/ED/gtJ8RP2k/hj8FPjToHgrWPhRNYfEC7+Nej3MP2LxENXEsFhoz3RYraCIzu0dsxts7Cvav0qoAKKKKAI7q6trG1kvb24SKGGMvLLIwCooGSxJ6ADnNeU/sY/ttfs9/t9/CGf46fszeKLnWfDMGv3mjjULnT5Lbzbi2ZVkKLIAWT5gVccEGsT/gpf8P8A9oX4sfsO/ED4XfsuaJDqXjDxHpkWm2+nza4mmG5sprmKO/iS7dWW3kaza5VJCrbWZTtJGK+ev+DfLwV8e/ht+z98XPA/xt/ZXf4UQQ/H/wAUXXh7Q21Q3KfZ5rrLRQEwReZbQlVjiuVBS4QCRQo4oA++qKKKACvGv2xP26fgr+xDpvhe9+LukeL9TufGWtS6V4c0jwR4Qu9bvry5jtpLl1W3tEeQhYYpHJA4Ck9q9lr4d/4LkeCPhp4n+DPhXxF458E/tAX+seHrzVbzwLrH7PlrdvqOl62+nS28DTvZ/v4o5BM6Bh+7PzCQhTggH2Z4B8Zad8RPA2jfEDSNO1KztNc0q3v7a01jTpLO7hjmjWRUnglAkhlAYBo3AZWBBAINa1eSfsEp+0JH+xR8KU/awa4PxKHgLS/+E3N4VM/9pfZk87zdvy+buzvxxv3V63QAUUUUAeI/Gz/goZ+zF8Av2hvDP7LfjrxHrE/jPxPBBcx6doXhq81FNLtZ7j7NBdX8tvG6WMEk+Y1klKqWB5wM17dX48/8FEfgF+2R4L/4LG6p8av2f9K+MK658QB8O0+HGr+Bxc/8Iz5VhqLxa7ba+0f7lYksnllRJ/lP2himX6fsNQAUUUUAFfNfwL/4Kqfs0fH79p5v2QfDnhb4k6H43Ok3up29l40+G2paPDdWdpKsU08Ut1EiyR73UBlyCWGDzX0pXx5+yb4C8c/FX/gqb+0T+1/8QfBmr6ZpfhnTdH+F3wzl1jTpbf7VY20f9o6pdQeYo8yGW9uURZUyr/ZTgnFAH2HRRRQB/9k=", 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", "info": {"equation": "40-14=26", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "430b4f3c5267f50a589fe0d38aa41a711fd820347aa9160e50272e74eccc3f53"} +{"episode": 26706, "episode_seed": 2096460747, "split": "train", "timestamp": "2025-10-28T03:45:03.783948", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2096460747, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 4, 4])", "action": "('move', [8, 0, 4, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "14+16*8=142", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "14+16*8=142", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "a5c13e4bfebf9f8b9d9cc5a49a7a018518d57cddb7b9d0e180b2215e76f0755b"} +{"episode": 26707, "episode_seed": 3042846131, "split": "train", "timestamp": "2025-10-28T03:45:03.861328", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3042846131, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 0, 1, 4])", "action": "('move', [6, 0, 1, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "98+33=131", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 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": "98+33=131", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "bc798774f08048dc91f7e7a2fff7b5fd11a117da7e37a36e90f81eff7ec11205"} +{"episode": 26708, "episode_seed": 1300305365, "split": "train", "timestamp": "2025-10-28T03:45:03.924769", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1300305365, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 1, 1, 4])", "action": "('move', [4, 1, 1, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "38-35=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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knyy8pWs/Jn8v3/BLP4l+N/h1+2r4Wu/C3xPu/ClrqzyWXifWLbUobUjTWAllDTTAqgLRRnPXKgDk4P6861afs0fHvxFo2l/Ev466f8T59PuJJtC8PeJ/GNpqlulw0ZDTJZrhJZRHvAZlfarPjGSa0P8Agnd+zd8B/g58WfAHi34X/CzStF1PxJ4Bu5ddvrWNjJeN5NjJ8xdmwN7s21cDJ6cDHsX/AAUg+Cvwo+OGh/D3wD8WvAdjrujSeMZ53sLsMqGSPSr4o2UKtkEnvX5RhspxFXh+piVXkoxv7mtnb5/oft3iH4i5bxhx3QxuGoSw8VCMHNWdX7V3ZOKejcUudXju1ey57/gkSI9M+HnxH8G/D9nf4X6H8R7q2+GEkaKbUWjQxS3sVpKufPt01B7tEfLDggMccfXNeMfsC+FfDfgX9m608F+DdDttM0nSvEuu2um6fZx7IreFNVugqKOwA/E9TkmvZ6/SMlpunlFCLd/cj+Kv+GyPx3iXHwzTPa+JhGylLru7JLmk+s525pvrJthX86v/AAcJ+Lfjhrv/AAUg8R+HvitNqK6JpFhaJ4CtrqLZbrprwozywAcMGuPPDPyS0e0n5AB/RVXmnx//AGOf2X/2p77RdT/aF+Ceh+LLjw9I76PNqtuWa33lSy5UjcpKKSjZU46Vhn+VVc3wPsKc+V3T12fk/wA/VH2nhJx7gPDvip5njMO60HTlDS3NFuzUo3sr6cr1Xuyfo/zx/wCCf/7SniPxZ+yF4N1v49/t063p3iWS0mjntLr4gWNtLHbpPIltuRwXBMCxnL/M2ctyTX3b+zL8QNd8e6our6X4xPiDRZ7Ak6ml6txDIVwiusifIWJUg7evzcZHHs0en2EUaxRWMKqqgKqxAAAdAKlREjXbGgUDoAMV52D4bxmHxVOrPGTkou9nez8vif5bHyud8QYfN8ficTTwsaSrTlJRja0eaTdlotFey22Fooor6w+ZPjL/AIL3+L/jn4M/4Jt+K9Q+Bk2owyXN/a2niq60uLdLBo0hdbkkj5kQny0dl6I7ZwpYj8hP+CLfxj8e/D79pi58HWfx11LwV4P1jSJ5/FEtrrsNhDK8Mb/ZizzZXcJJABt+YhiOmcf0fa3peja3ot5oviKwtrrT7y1kgv7W8jV4ZoXUq6OrcMpUkEHggnNeSfsb/B79hv4XeCtWg/Yg0fwQuh3uqBtZufBuqRX8cl0sa4SSZJJDuVGUhC3yh8gDeSflM4yHEZjmdOvTr+zsrdbr/Dqt766n7Xwn4lYHIfDDMeHquX+1nWldVLLlXMkl7RtN80OW9PfXta7+Ute8MfskfHvxANS+LPxV0L4o3mm6PdR20XjDxda6ommWbAG6kiiDBIAQE3z7QwCJ867RXvf/AASXvvEl1+x1Y2N/LeTeHdN8SatY/Du6vrdY3n8Nw3TppzjGN8fkgBHP3o1Q5IIY43/BQr9nf4IftA/Fn4deHfjR8M9N8RWNhoeu3NnbXwcLFKbjSlLjYyk/KSMHI56V7F+xhaWth+yn4BsLG2jggg8NW8UEEKBUjRVwqqo4UAAAAcACuDIcDUwfEeIpzqubjFXb63s9dXtstT4/Mc7o1+EKWEXNKUp35ZW5KSjz6U9W7z5ry92CVrWle69Oooor7o+EP5hv+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+5Turn5cFfyofG34x/tVad+2hr3xh+IvijXdL+LOneMHmur6X9xeWN/FJsRFXoioFVFQfIEAUZWv6r68S1/wCBv7A+pfth6d8T/EfhvwC/xtW0WXTnudQhGsyRJA6LMtsZN0hWFXAk2EhU4ICDHz3EOUVc2hSUKvJyy69b9vNdPV6n7J4P+IuC8P6+YTxGBeJ9tSsrJXjy3dpX2pSv+8evwxdmfKl74/8Ag/8AFH4XQeDfjj+2hNrVlquk26eJ9A1L4m2a212xRGmgmEJQmMuGVkDAMuVOQSD0n7GPhXwd8L/+Cil74O/Zr8P2Gl+H9T+Gj3PxS0rw7YQpYWt7FcRLo8knljEFxJFJfYQbd8aBypzvP0/+2v4f0TW/2R/iNouraVBPaXnhG9guoHjG2SN4irKcdipI/GvKP+Ce3wH+Dn7PfxT8eeDvgn8O9O8N6Zc+H9Furm105GxLMbnVF3szszMdqqBk8AcYr56GVYjA8SYWFTESqNqTu730T01b0fU+cwXEGHhw/jY8slzpxVJW9ledk5y1+KFk4JQfvRi3Jctn9WUUUV+hn58fhL/wc8+Lvjjdftd+GvBPiqfUY/Adr4WjuvCVu0e20mumZlvJFI4klBEStnlVK8ANlvS/+CSn7RXinVP2PrCx+NP7Z+s+H20nVptO8M6XN44s7Mw6VFFCsSrHKC+wP5yqW/hUAfKFr9UP2hv2WP2ev2r/AAxZ+Df2ifhRpXivTdOvftdjb6kjZt5tjIXRkKsuVYggHB4yDgY6/wAPeEvC/hLQLHwr4Y8P2dhpumWcVpp9ja26pFbQRqEjjRQMKqqAAB0Ar4zE8MY2vmdXEwxLgpdr39HqtF0P2vNfFTKsw8McBwxHAJVaErub5eXS/vR0b553vNu2t976fLX7P3hjwd8Tda0G48EeMRr1hp3iP+1brWrLU47z7RdJI80jTTJlSzyOS2MHLcYr61pscccS7Yo1UeijFOr28lyn+yMPKm6jm5Scm2rb28327n5BjcX9cqKXLZJWsFeHf8FJvEnxU8IfsPfELxF8GbzVrXXbbSoc3mg2/m3tpYtdQrfTwLgnzY7M3EikAspQEAkCvcaOvWvTr0nWoTpp25k1dbq6tdehWV4yOXZnQxcqaqKnOMnF7S5ZJ8r30drPR6H5ifH34y+C/APiP4GaV8Hv2gY/DcN9rq2yXWia/aRiXwz9jkE8jTSFgkW6C3CyA/M6lQSeK9R8N/EX4Y+LvFOn2n/DUx8Z6jFJI2kaZqHja0vmjlMTq0kUUWGL+U0i55wrNx3H058Df2Mv2WP2afEGu+KvgP8AA3QPDGoeJXDa1daZalWuMOzhRkkRpudjsTavTj5Rj0pbW1RgyW0YI6EIK+Go8HY1Yb2UsW0ne8Um4/8ApSv56H02b8QZPUrU44Gg3GC+OajGcm23qo8yXLflXvO6V9L8q4z9njwS3gH4XW2jyCcPdahfahIlyAGRrq6luCuMDABkwAecYzk129FFfb4WgsLhoUU7qKS+5WPj6tR1aspvq2wooorczCiiigAooooA+Mv+C9/i/wCOfgz/AIJt+K9Q+Bk2owyXN/a2niq60uLdLBo0hdbkkj5kQny0dl6I7ZwpYj8hP+CLfxj8e/D79pi58HWfx11LwV4P1jSJ5/FEtrrsNhDK8Mb/AGYs82V3CSQAbfmIYjpnH9IGsaRpXiDSbrQde02C9sb62e3vbO6iEkU8TqVeN1bIZWUkEHggkVwP7PX7I/7Nn7KOg6h4Z/Z4+D2keFbLVbtbrUotPiYm4lVQil3kZmIA6DOBliACxz8rm/D+KzLMYYmnXcElbS916Wa3vrqvmfs/CvihlfD/AIa5hw1WwKqVMRJuM9OX3lFXnfXmp8t6dr622td/MvgTx18PfGXi+H+x/wBog+O9bitJI7G3uvFttqM9vCzxtKIo4cEBmjh3HB+4nTv9cfBPwSnw4+Enh7wNHJMw0zSooc3BG/gc5wAM8+ldKltbxNujgRT6qoFPrpyfIp5ZialepWdSUkldrt53dz8pxmPjiqcYRgopdv8AhkFFFFfQnnH8xn/BV/4gftC6l/wUk+JGufGLVdYtNe0LxfPB4ZebdBJZaXDOzac1vtxsTyTHKrL95nL53MTX6j/s/ftBReNf2efCOqfHL9urUl8Rar4YtpPE+n3PxC0+EGeSIGWN4gBszkgrwRkjg19v/FH9jT9lr41fFfQvjl8VvgfoOu+LfDXlf2Jrl/bFprbypDLGOCA4SQllDhgCTjGa9JNnaE5NrH/3wK+HXCeOWJq1I4twUnfS93/i1Wv3n7dx14rZTxZw1leW0cvVOWFhaTfLa6io2p2Tag7czTs72XS78G/ZW8HaTqPjC3+JmgzB9NsvDEmnaZLaSK9rNDcSWsoKOM78LbJgg4w3Ocg177SKqoNqqAB0AFLX0uUZasqwMcMpc1r62tu77an43jMS8XXdRq1wrG+IXw98E/FjwPqvw1+JHhi01rQdbsntNV0u/i3xXMLjDKw/UEYIIBBBANbNFelKKkmmrpmFOpUo1FUptqSd01o01s0+jRxPwL/Zx+Bv7M/gNfhj8CPhlpfhnQlu5Lo6dp0J2vPJjfIzMSzsQqjJJOFUdAAOzjggiOYoUUnqVUCn0UoQhTgowVkui2LxOJxGMryr4ibnOTu5SbbbfVt6t+bCiiiqMQr+VD42/GP9qrTv20Ne+MPxF8Ua7pfxZ07xg811fS/uLyxv4pNiIq9EVAqoqD5AgCjK1/VfXmWrfsafst69+0Fa/tVax8D9BuPiFZoq2/imW2JuF2xGJWIztZ1jO0OVLABcEbRj57iDJq+cQpKnU5OR36/fp1XT1eqP2Dwj8Sst8Oa+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=", "info": {"equation": "38-35=3", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "9fddb4fc724da975c6aac1ff5e0055a717ef6cb13ce237bb44a6a9b3007dca34"} +{"episode": 26709, "episode_seed": 1954519915, "split": "train", "timestamp": "2025-10-28T03:45:03.983305", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1954519915, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 4, 2, 6])", "action": "('move', [0, 4, 2, 6])", "reward": 0.0, "image": 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EZAyxVSURUyqg4yM8nP6AV6XB9CVGniU5N2qOP3dfV319EfA8XZvTzHDYOjGU5uEXJzn8Xv8AL+7XvS/dw5W43au5zfLG9grwP/gqL4q+N/gj9gD4o+Kv2c31BPF9l4d36dNpMO+5ghM0YupYh1DpbGdww+ZSu5eQK98o69a+tr0nWoSpp25k1dbq63XofM5TjoZZmtDGSpqoqU4zcJfDJRknyy8pWs/Jn8sf/BPr4jfFXwf+0/4a0P4feLL2ytPE2vadY+KraG4UR39h9ugleOUPww3IrDHzZHy8nB/brw/8QLXwl+0l4h0GL4mnS7/V/DWlR2mhDV44Wvgs18zSJESHkdQmNy9FLA9a9F+LP7Gv7Lf7M/wU8deLfgL8D9B8L6l4lvdMfWrvS7Yq1xjU4XCjJIjTc7HYm1enHAx0H7JUcbfF3x+7RqSNK0TBI5HzahX5euHcTh8zpYJ17OUZO6vouy1W9tdtz9g8TfEbLePc2/tXCYT2cIRhC0rc0mm3zStdac3LHfRJ6XsvYvhzda9e+CdPufEyuL14czeYuGPJ2lh2JGCR61t0UV+oUKTo0I03JvlSV3u7Ld+bPxKpJTm5WtdhXwfrPxCubT9tf42/8Lz8aNp9zox03/hGLPXLmO1tbbwqtmkn2y33EBo2vXvBNNztaKNWK4UV94V8fft+fs6/A79oD9oXw3H8avhjpviRNF8GXE+lpqSuVgka8jDEBWAbIVchsjjpzXzXGNJ1MklJStytP11tZ/ff5H1HCOLy+hjqlDGRfJVhy80VGUoNSjNOKk0nfl5X70dJN3duV5Hwr+IH7UUX/BFbVfHPw9bXbjxxZ+D9Z/4QG5m0pV1CbTIrq4TS5xCFAMh09beRflyx2nBJwfxv/wCCO/ir422f/BTX4Yar8Knv73VNS8UpD4kkSH7Q8ulSv/xMZJS+flEBkcuTkFQQc4z/AEW/stqifsyfDlI0VVHgTSAqqMAD7FFwAOlfHX7Ff7OnwM+Gfx5+H3xW8BfDDTNL8SeJL3U21zWbdHM92Xsb2R8lmIUM+GIUAEgccDHm5vg5rF5d+8e8Y/dbX1fU/UODPE3KsgyHP8HLL4v63zSha3LFSUkoT0V4QTvGy3vor3X6AUUUV94fgh80/wDBVjxD4y8P/sx2P9iapqFh4dv/ABzo9l8RtR0xR5lt4dln23bM/WKFj5Ucrj7sUj5IXcw86+FHj/X73/goV8P/AA38KvEZv9Pn8EazJ4/stOEU9rbacywS6fcSuMmJ3uOIsEeYjyEBlBI+n/2preG7/Zj+I1rcxCSOXwHq6SIwyGU2UwINfPH/AAT+/Z5+CP7PHxz1fRPgj8NNN8N2up+C0uNQj09XJuJFuwqs7OzMcDIAzgZOAMnPxma4aT4qwk+d6p6duW7f/gWzPusqzXKqXC9alWo3qw51HSPLL2sVHmm2+ZSpfFCykm+X4eVuX5g/8HKHi3446p+36fCXxAl1FPB+leHrOTwBbzRbLVopYIzdzRY4dzcrIjsfmxEinhVr9QP+CEmvfGLxB/wTO8BT/GSC7WW2W4tvDj3tsInk0eN9towAALJsGEYjLIqnkYJ0/wDgod+z98Fv2hvix8OfDvxt+HOn+JLHT9D125srbUN+2KY3GlKXGxlP3SRg5HPSvYP2MLW1sP2U/ANhY20cMEHhq3jghhQKkaKuFVVHAAAAAHAAoyzDSpcWYtubeif/AIFZ2+WyPseLPETL898K8q4fpYNQqYd+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/DX3l49+H37D/wAarXxH42+NHj7w78Q54vD4g1fxB4n8UW2p3GlacrEqInDBbRRISwZApZ2wSc4r6B/4J3/BL4SfAzxN4+8BfCL4f6doGjrBpFx9hsYztMr/AGzc7FiWZiFUZJPCgdABXDf8FBf2a/gL8av2hL7xD8WPhVpOvXnh74Z2c2jTX8bEWzm61NyQoYK4LRocMGHy9OTn80rZViIcNxxbrycdPc1sryt3t57H6TxJx3gOJPEitmVGnPCwlZc1O3tWoxWrtKKvJpXfM7aaStr7l/wTm1z4qeJP2H/hrrPxoW+/4SGbw4n2h9UtBBcy24d1tZJYwBtke2ELtkA5Y5AORXtdc58HmLfCTwszHJPhyxJJ/wCvdK6Ov1fDwdLDwg3eySu93Zbs/GczxccfmVbExgoKpOUlGO0eZt8q8ley8gr+Ur49/FT9ptv2x9e+K3xX1rV7P4qaf4z+03VzeRiO5sdRt5h5SqhyqCIxxqij5AqKB8oFf1a14lr/AMDf2B9S/bD074n+I/DfgF/jatosunPc6hCNZkiSB0WZbYybpCsKuBJsJCpwQEGPC4hyerm0KShV5OWXXrf9V09Xqfq/g/4i4Lw+r5hPEYF4n21KyslePLd2lfalK/7x6/DF2Z8qXvj/AOD/AMUfhdB4N+OP7aE2tWWq6Tbp4n0DUvibZrbXbFEaaCYQlCYy4ZWQMAy5U5BIPSfsY+FfB3wv/wCCil74O/Zr8P2Gl+H9T+Gj3PxS0rw7YQpYWt7FcRLo8knljEFxJFJfYQbd8aBypzvP0/8Atr+H9E1v9kf4jaLq2lQT2l54RvYLqB4xtkjeIqynHYqSPxryj/gnt8B/g5+z38U/Hng74J/DvTvDemXPh/Rbq5tdORsSzG51Rd7M7MzHaqgZPAHGK+fhlWIwPEmFhUxEqjak7u99E9NW9H1PnMFxBh4cP42PLJc6cVSVvZXnZOctfihZOCUH70YtyXLZ/VlFFFfoZ+fHxN8efGOvRf8ABRvV/D/xP8R3Nlpdn8N7ST4aWF5IsNndCSWVtXmiJI86dDDaBxyY4ucBTk+KfswftFaHq9r48TUf23dS0nQ7T4m6vD4Ntk8a6fZRnTd0blokK5eL7U92EkOd6BSCRgn9BP2hv2WP2ev2r/DFn4N/aJ+FGleK9O069+12NvqSNm3m2FC6OjKy5ViCAcHjIOBjr/DvhLwv4S8P2PhTwx4es7DTNMs4rTTrC0t1SK2gjUJHGigYVVUAADgAV8ZieGMZXzOriYYlwUu17+j1Wi6H3VfiXJZ5LCjHDXrcsISuoqEVBW54PWTnUsnO6Vnzay5ly/Lf7P3hjwd8Tda0G48EeMRr1hp3iP8AtW61qy1OO8+0XSSPNI00yZUs8jktjBy3GK+tabHHHEu2KNVHooxTq9vJcp/sjDypuo5uUnJtq29vN9u58jjcX9cqKXLZJWsFFFFewcZyXxz0BPE/wt1TRZNHW/SRYna2YMc7JUcMAvJKlQw91rkf2XvA7aTdeIPH8vnhtbWztlWQAIUt/OIZeMnJnYE5I+UY6GvW6AAOAK8qrlcaub08c5v3YuNumt9b/P8AI6o4pxwkqFt3e4UUUV6pyhXwfrPxCubT9tj42/8AC8/Gjafc6N/Zv/CMWeuXMdra23hVbNJPtlvuIDRteveCabna0UasVwor7wrzP9oD9jf9l39qi/0XU/2hvglofiy48PO7aPNqtuWa33lS65UjchKKSjZU46V4mf5VVzfA+wpz5XdPyfk/z9UfScNZnluXYirHHRk6dSHLzRUZTg1KM04qTinfl5X70dJN3duV/A37HH7Q+na3+zxo1140/bq1vTnju7+30i0uvG+n2MqaVFeTRafugKAxk2iQHBAPOTya+qf2XfBfhXxV4p8LeLPBGqpe6L4ciuJ9PvtPu0nt598EttgyrkP/AK1z8pzuU+hFfS0en2EUaxRWMKqqgKqxAAAdAKlREjXbGgUDoAMV5eG4Wr0sXSrVsVKag7pNfleTt9xOZ55h8biK9Shh40o1HJpLaKbbS0SvZadBaKKK+vPnT5p/4KseIfGPh79mOx/sTVNQ0/w7f+OdHsviNqOmKA9r4dln23bO/WKFj5Ucsg+7FI+SF3MPmT4z/HTSPDf7X/w48O+Fv2kn8LWt94Y1eXxedI8Q2drF9h8uKSxkkmkztLTsPLAPzozEAqCR+lGsaPpPiHSLrQNe0yC9sb62e3vbO6iEkU8TqVeN1YEMrKSCDwQSK4L9nr9kf9mz9lHQdQ8Nfs8fB7R/Ctlqt2tzqUenxMWuZVXYpd5GZiFGcLnA3MQAWOflc34fxOZZlDE067gkrdbrf4dVvfXVfM+2yjiHJ8FkksPiMPz1Y+0UdI8kvaRUeabfvKVP4oWUk3y/Byty+ZfAnjr4e+MvF8P9j/tEHx3rcVpJHY2914tttRnt4WeNpRFHDggM0cO44P3E6d/rj4J+CU+HHwk8PeBo5JmGmaVFDm4I38DnOABnn0rpUtreJt0cCKfVVAp9dOT5FPLMTUr1KzqSkkrtdvO7ufN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41vPjhew3HiMIxuGQ6pcRkDLFVJRFTKqDjIzyc/oBVcH0JUaeJTk3ao4/d19XfX0R8Lxdm9PMcNg6MZTm4RcnOfxe/wAv7te9L93Dlbjdq7nN8sb2CvA/+Covir43+CP2APij4q/ZzfUE8X2Xh3fp02kw77mCEzRi6liHUOlsZ3DD5lK7l5Ar3yjr1r62vSdahKmnbmTV1urrdeh8zlOOhlma0MZKmqipTjNwl8MlGSfLLylaz8mfyx/8E+viN8VfB/7T/hrQ/h94svbK08Ta9p1j4qtobhRHf2H26CV45Q/DDcisMfNkfLycH9uvD/xAtfCX7SXiHQYviadLv9X8NaVHaaENXjha+CzXzNIkRIeR1CY3L0UsD1r0X4s/sa/st/sz/BTx14t+AvwP0HwvqXiW90x9au9LtirXGNThcKMkiNNzsdibV6ccDHQfslRxt8XfH7tGpI0rRMEjkfNqFfl64dxOHzOlgnXs5Rk7q+i7LVb2123P2DxN8Rst49zb+1cJhPZwhGELStzSabfNK11pzcsd9Enpey9i+HN1r174J0+58TK4vXhzN5i4Y8naWHYkYJHrW3RRX6hQpOjQjTcm+VJXe7st35s/EqklObla12Ffzq/8HCfiz44a5/wUf8R+H/itLqK6JpFhaJ4CtrqLZbjTXhRnkhA4cNceeGfklo9pPyAD+iqvj79vv9nX4H/tAftDeGk+NXwy03xImi+DbifSk1JXK28jXke4gKwDZCrkNkcdK+a4xoupkkpc1uVp+utrP77/ACP1Twa41wXAvGH1/FYf2sZU5Q0tzRbs+aN9L+7yvVe7J+j+YP8Agnl+0HqWu/sYeCJPjR+27q2i60mmy2o0z/hPbGyNtZRTSRWiiLG5MW6RYz8x4J5NdRpPw2+BPwl+N3wH8S/sfaHo0Pi6/wDiJa2cN54Z8m8uNY8PzPKNalupdzNPCsPmyNcMSUlSMBgSEP3z+y5ZWQ/Zl+HQWziAHgTSMARAAf6FFXx7+xV+zl8C/hl8efh98VvAPwv0vS/EniS91Ntc1m3RzPd77G9kcEsxChnAYhQoJA44GPnsTk+IwmNwTqYiU+aSte/u7PTVmeF4twtbH5ljlSdKNRzkqMLezk589oz1j7kVJ292TavFct+ZfoDRRRX6Wflh80/8FWPEPjLw/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/wDBzJ4t+OPhz9ibRdL+G02ow+F9W8ULbePJ7CP5Tb7N1vFM45SJ5gPQMwRSeQD+jleQft5eGtB8Z/sp+KPCPinS477TNUk0+01Czmzsnhk1C2V0OCDgqSOCDzUZxRdfKq0FK3uvVeWv47PyPouCM9o8M8XYLNK1FVY0qik4vr0ur6cyvzRfSSTPxH/4IYfF/wAUeDfHnjXwbq37QN94H8HzaOl7P9n8Q22nJcamJo44vnmBLnyfO+VeMAE/w195ePfh9+w/8arXxH42+NHj7w78Q54vD4g1fxB4n8UW2p3GlacrEqInDBbRRISwZApZ2wSc4r6B/wCCd/wS+EnwM8TePvAXwi+H+naBo6waRcfYbGM7TK/2zc7FiWZiFUZJPCgdABXDf8FBf2a/gL8av2hL7xD8WPhVpOvXnh74Z2c2jTX8bEWzm61NyQoYK4LRocMGHy9OTn80rZViIcNxxbrycdPc1sryt3t57H6TxJx3gOJPEitmVGnPCwlZc1O3tWoxWrtKKvJpXfM7aaStr7l/wTm1z4qeJP2H/hrrPxoW+/4SGbw4n2h9UtBBcy24d1tZJYwBtke2ELtkA5Y5AORXtdc58HmLfCTwszHJPhyxJJ/690ro6/V8PB0sPCDd7JK73dluz8ZzPFxx+ZVsTGCgqk5SUY7R5m3yryV7LyCv5Svj38VP2m2/bH174rfFfWtXs/ipp/jP7TdXN5GI7mx1G3mHlKqHKoIjHGqKPkCooHygV/VrXiWv/A39gfUv2w9O+J/iPw34Bf42raLLpz3OoQjWZIkgdFmW2Mm6QrCrgSbCQqcEBBjwuIcnq5tCkoVeTll163/VdPV6n6v4P+IuC8Pq+YTxGBeJ9tSsrJXjy3dpX2pSv+8evwxdmfKl74/+D/xR+F0Hg344/toTa1ZarpNunifQNS+JtmttdsURpoJhCUJjLhlZAwDLlTkEg9J+xj4V8HfC/wD4KKXvg79mvw/YaX4f1P4aPc/FLSvDthClha3sVxEujySeWMQXEkUl9hBt3xoHKnO8/T/7a/h/RNb/AGR/iNouraVBPaXnhG9guoHjG2SN4irKcdipI/GvKP8Agnt8B/g5+z38U/Hng74J/DvTvDemXPh/Rbq5tdORsSzG51Rd7M7MzHaqgZPAHGK+fhlWIwPEmFhUxEqjak7u99E9NW9H1PnMFxBh4cP42PLJc6cVSVvZXnZOctfihZOCUH70YtyXLZ/VlFFFfoZ+fH4S/wDBzz4u+ON1+134a8E+Kp9Rj8B2vhaO68JW7R7bSa6ZmW8kUjiSUERK2eVUrwA2W9L/AOCSn7RXinVP2PrCx+NP7Z+s+H20nVptO8M6XN44s7Mw6VFFCsSrHKC+wP5yqW/hUAfKFr9UP2hv2WP2ev2r/DFn4N/aJ+FGleK9N069+12NvqSNm3m2MhdGQqy5ViCAcHjIOBjr/D3hLwv4S0Cx8K+GPD9nYabplnFaafY2tuqRW0EahI40UDCqqgAAdAK+MxPDGNr5nVxMMS4KXa9/R6rRdD9rzXxUyrMPDHAcMRwCVWhK7m+Xl0v70dG+ed7zbtrfe+ny1+z94Y8HfE3WtBuPBHjEa9Yad4j/ALVutastTjvPtF0kjzSNNMmVLPI5LYwctxivrWmxxxxLtijVR6KMU6vbyXKf7Iw8qbqOblJybatvbzfbufkGNxf1yopctklawUUUV7BxnJfHPQE8T/C3VNFk0db9JFidrZgxzslRwwC8kqVDD3WuR/Ze8DtpN14g8fy+eG1tbO2VZAAhS384hl4ycmdgTkj5Rjoa9boAA4AryquVxq5vTxzm/di426a31v8AP8jqjinHCSoW3d7hRRRXqnKFfB+s/EK5tP22Pjb/AMLz8aNp9zo39m/8IxZ65cx2trbeFVs0k+2W+4gNG1694JpudrRRqxXCivvCvM/2gP2N/wBl39qi/wBF1P8AaG+CWh+LLjw87to82q25ZrfeVLrlSNyEopKNlTjpXiZ/lVXN8D7CnPld0/J+T/P1R9Jw1meW5diKscdGTp1IcvNFRlODUozTipOKd+XlfvR0k3d25X8DfscftD6drf7PGjXXjT9urW9OeO7v7fSLS68b6fYyppUV5NFp+6AoDGTaJAcEA85PJr6p/Zd8F+FfFXinwt4s8Eaql7ovhyK4n0++0+7Se3n3wS22DKuQ/wDrXPynO5T6EV9LR6fYRRrFFYwqqqAqrEAAB0AqVESNdsaBQOgAxXl4bhavSxdKtWxUpqDuk1+V5O33E5nnmHxuIr1KGHjSjUcmktopttLRK9lp0Fooor68+dPmn/gqx4h8Y+Hv2Y7H+xNU1DT/AA7f+OdHsviNqOmKA9r4dln23bO/WKFj5Ucsg+7FI+SF3MPmT4z/AB00jw3+1/8ADjw74W/aSfwta33hjV5fF50jxDZ2sX2Hy4pLGSSaTO0tOw8sA/OjMQCoJH6Uaxo+k+IdIutA17TIL2xvrZ7e9s7qISRTxOpV43VgQyspIIPBBIrgv2ev2R/2bP2UdB1Dw1+zx8HtH8K2Wq3a3OpR6fExa5lVdil3kZmIUZwucDcxABY5+Vzfh/E5lmUMTTruCSt1ut/h1W99dV8z7bKOIcnwWSSw+Iw/PVj7RR0jyS9pFR5pt+8pU/ihZSTfL8HK3L5l8CeOvh74y8Xw/wBj/tEHx3rcVpJHY2914tttRnt4WeNpRFHDggM0cO44P3E6d/rj4J+CU+HHwk8PeBo5JmGmaVFDm4I38DnOABnn0rpUtreJt0cCKfVVAp9dOT5FPLMTUr1KzqSkkrtdvO7ufNYzHxxVOMIwUUu3/DIKKKK+hPOPMvij+xp+y18avivoXxy+K3wP0HXfFvhryv7E1y/ti01t5UhljHBAcJISyhwwBJxjNekmztCcm1j/AO+BUlFRGlThJyjFJvfTf17nVXx2NxVKnSrVZSjTVopybUVvaKbtFX1srCKqoNqqAB0AFLRRVnKFfKf/AAU/8VeI/Dtx8IbLVddu9K+H198QgPHd/Cyx2++O3kl02K6lJHlW73qQgkkKzBFJ5Ab6srG+Ifw98EfFjwPqvw1+JPhiz1rQdbsntNV0u/iDxXMLjDKw/UEYIIBBBANcWZYSeOwNShGXK5K1/wCunR+R6+RY/D5ZmtPEV4c8FzJrS9pRceaN9OaN+aN9OZI/OPXvjrpuh/t16r4LsP2o7vwposPw2hk8T21j4ls7GGPVkvitqjPICxmNu9yWjz8qiNiBuXPqvgjU/AXxRvtV0vwt8az461jUNOWzurk+JINSu4bb94qIPJ+4gaaRhlfvOeT0r6q+Bf7OPwM/Zn8Br8MvgP8ADHS/DOhLeSXR0/ToTteeTG+RmYlnYhVGWJOFUdAAOzjggiOYoUUnqVUCvkIcG4qWGVGri3y9YpNx+V5foexmnEGW1cWngqFoRioqUrKcrbykldJt9FJ2VlzO13R8IaFH4W8J6X4Zikd107ToLVXcgswjjVATjjPHatGiivu0rKx8i3dhX8qHxt+Mf7VWnftoa98YfiL4o13S/izp3jB5rq+l/cXljfxSbERV6IqBVRUHyBAFGVr+q+vMtW/Y0/Zb179oK1/aq1j4H6DcfEKzRVt/FMtsTcLtiMSsRnazrGdocqWAC4I2jHz/ABBk1fOIUlTqcnI79fv06rp6vVH6/wCEfiVlvhzXx08Zg/bqvTUVtdNX913/AOXc7+/a792Pus+Q9H+Mfw78R+CrCw+Jn7bk2pNd6XANe0fUviNYNb3EjRqZoZETGULbgVBHHGa+p/2X/Bpttd174ku02dVsLKxj3AeW6QSXMm9eMnJuSCckfKPQ1699is/+fSL/AL9ipAAOAK58Bw3WwmYQxVbEyqOKdk13Vt3Jn5ti80hiKMqcKSgpO+m299rBRRRX1J5AUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFQaraS6hplzYQ3LQvPA8aTJ1jLKQGHuM5oA+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": "9+80=89", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "9+80=89", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "973cf3d1ac1f988858bbe81cde133129f374950f8149f69819140cdcf64d6168"} +{"episode": 26710, "episode_seed": 2856355725, "split": "train", "timestamp": "2025-10-28T03:45:04.047123", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2856355725, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [9, 5, 5, 8])", "action": "('move', [9, 5, 5, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "13+20*6=133", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "13+20*6=133", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "d2a0ce8ac82433f46e77b51bc221fb2d0af8cb1121383623316ed24dc3bc542f"} +{"episode": 26711, "episode_seed": 511645004, "split": "train", "timestamp": "2025-10-28T03:45:04.089044", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 511645004, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 6, 1, 7])", "action": "('move', [2, 6, 1, 7])", "reward": 0.0, "image": 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", "info": {"equation": "2+0*7=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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L4q+N/gj9gD4o+Kv2c31BPF9l4d36dNpMO+5ghM0YupYh1DpbGdww+ZSu5eQK98o69a9OvSdahKmnbmTV1urrdehplOOhlma0MZKmqipTjNwl8MlGSfLLylaz8mfyx/8ABPr4jfFXwf8AtP8AhrQ/h94svbK08Ta9p1j4qtobhRHf2H26CV45Q/DDcisMfNkfLycH9uvD/wAQLXwl+0l4h0GL4mnS7/V/DWlR2mhDV44Wvgs18zSJESHkdQmNy9FLA9a9F+LP7Gv7Lf7M/wAFPHXi34C/A/QfC+peJb3TH1q70u2KtcY1OFwoySI03Ox2JtXpxwMdB+yVHG3xd8fu0akjStEwSOR82oV+Xrh3E4fM6WCdezlGTur6LstVvbXbc/YPE3xGy3j3Nv7VwmE9nCEYQtK3NJpt80rXWnNyx30Sel7L2L4c3WvXvgnT7nxMri9eHM3mLhjydpYdiRgketbdFFfqFCk6NCNNyb5Uld7uy3fmz8SqSU5uVrXYV8H6z8Qrm0/bX+Nv/C8/Gjafc6MdN/4Riz1y5jtbW28KrZpJ9st9xAaNr17wTTc7WijViuFFfeFfH37fn7OvwO/aA/aF8Nx/Gr4Y6b4kTRfBlxPpaakrlYJGvIwxAVgGyFXIbI46c181xjSdTJJSUrcrT9dbWf33+R9Rwji8voY6pQxkXyVYcvNFRlKDUozTipNJ35eV+9HSTd3bleR8K/iB+1FF/wAEVtV8c/D1tduPHFn4P1n/AIQG5m0pV1CbTIrq4TS5xCFAMh09beRflyx2nBJwfxv/AOCO/ir422f/AAU1+GGq/Cp7+91TUvFKQ+JJEh+0PLpUr/8AExklL5+UQGRy5OQVBBzjP9Fv7Laon7Mnw5SNFVR4E0gKqjAA+xRcADpXx1+xX+zp8DPhn8efh98VvAXww0zS/EniS91Ntc1m3RzPdl7G9kfJZiFDPhiFABIHHAx5ub4OaxeXfvHvGP3W19X1P1DgzxNyrIMhz/Byy+L+t80oWtyxUlJKE9FeEE7xst76K91+gFFFFfeH4IFeX/tLWmitp2nXcjbdRMzJCFUZeLGWDHqACRj3PvXpOpajaaTp8+qX8oSG3iaSVz2UDJr5S+P+seJPj/4+0v4SeEZbu2k8ZXbae17CQkml6LEA9/chjG4VzExjTI/1t1FzgEj5jijEQlg1gopSqVWlFdtfi+X5/M9TK6clWdZu0YJtv9Ct+wX4r8EfFr9oPxh491CB/wC0tP0eK18Bi6ih2S6L58kV1fWzrKzP515CUc7VxFDaf89Ofr2vk/4n/CjUPgh8RvCviL4UWENtN4MuIzotmGSNLrR3VYbrTy5jbbuiQbMYAlhhJYAE19VWF9banYw6jZyB4p4lkjYd1IyKOGK8I4SWCkuWpSbTXfXR/MM0pt1lXTvGauv8iaiiivpzywr5b/4LO+Lfjj4J/wCCcHxH8Qfs/TajDrcdhCl5c6TFuuLfTXmRb2VSOUC25kJdeUXLAjGR9SVgfFfj4W+JTj/mAXnUf9MHrnxdF4jCzpKVuZNXXS63PWyHMoZPneGx86SqqlUhNwltJRknyvfR2ts/Q/n/AP8Ag3T174x6V/wUl0TS/hrb3cmh6loWoRePPItRJHHpywM8TyMR+7H2tbUBhgksF6Ma/ofr4i/4Jzfs5/Az4B/GbR5vg18MNM8PSa58MLubV5bFXL3TrPpJUszsxwC7kAEDLHjmvt2vnODabhkqd73lJ+nTT7r/ADP0Dxk4zwXHPGLzDC0PZRVOENbc0rXfNK11fXlWr92MfRFc78W/C/wx8a/DDX/C3xp07SrvwleaTOniOHW2VbT7HsJlaVnICKqgsXJG3buyMZroq/OP/g5k8XfHLw3+xNoumfDafUYPC+reKFtvHs9hH8pt9m63imccpE8wGezMEUnkA+7mWKjgsBUryjzKK27/APA7+R8jwTkNbifizB5XSrexlVmkp/y21utve091XV5WV1ufaH7Kfwx/ZR+Gvwhg0D9j/SPCkXgyW+nuIX8J3kd3aTXJYLK5mR38x8qFJLEgIF4CgD0mOCCI5ihRSepVQK/nx/4Ia/G7xx4T8XeL/h3rn7R+qeCvAw0r+0BbxeJrfT4JNVaWGNWUzg5cwrJkJ1CLu6LX6pfB/wCMw8QXTeH/AIdftHXXjW8juFuDEPE8GozRZwgBEHIjPowxkmvk8Pxpgo4eMfYST0VopW+X6aeR9T4icB43hji/E4Gri/btNS9pJvnfMlL37397XXV9+tj6/opkBmaBGuFAkKDzAvQHHOKfX3Kd1c/Lgr+VD43fGP8Aaq039s/XvjD8RvFGu6V8WdO8YPNdX0v7i7sb+KTYiKvRFQKqKg+QIAoytf1X18BfH39nH4F6/wDtaeMfj/rnwu0u68Z6d8SvDsNh4hnjZp4EWHRVXaC2zIV2AbbkZ4OcV8dxlh5VcPQkptWml/4F19VbT1Z+0+DXiDl/AWKzB4rCKv7alZbXTi37rv8A8u583v7v3Y6Mp6P8Y/h34j8FWFh8TP23JtSa70uAa9o+pfEawa3uJGjUzQyImMoW3AqCOOM19T/sv+DTba7r3xJdps6rYWVjHuA8t0gkuZN68ZOTckE5I+Uehr177FZ/8+kX/fsVIABwBXTgOG62EzCGKrYmVRxTsmu6tu5M/LcXmkMRRlThSUFJ3023vtYKKKK+pPIPib48+Mdei/4KN6v4f+J/iO5stLs/hvaSfDSwvJFhs7oSSytq80RJHnToYbQOOTHFzgKcnxT9mD9orQ9XtfHiaj+27qWk6HafE3V4fBtsnjXT7KM6bujctEhXLxfanuwkhzvQKQSME/oJ+0N+yx+z1+1f4Ys/Bv7RPwo0rxXp2nXv2uxt9SRs282woXR0ZWXKsQQDg8ZBwMdf4d8JeF/CXh+x8KeGPD1nYaZplnFaadYWluqRW0EahI40UDCqqgAAcACvjMTwxjK+Z1cTDEuCl2vf0eq0XQ+6r8S5LPJYUY4a9blhCV1FQioK3PB6yc6lk53Ss+bWXMuXwr9mb4l6r461nTZfCnxNk8W6XFG1td6muqpeo4RTkvJF8hkBIyeCSRmvoamxxxxLtijVR6KMU6veyjLquWYd06lV1G23d+fTd/mfH4zExxNRSjBR0tZBRRRXqnKcl8c9ATxP8LdU0WTR1v0kWJ2tmDHOyVHDALySpUMPda5H9l7wO2k3XiDx/L54bW1s7ZVkACFLfziGXjJyZ2BOSPlGOhr1ugADgCvKq5XGrm9PHOb92LjbprfW/wA/yOqOKccJKhbd3uFFFFeqcoV8H6z8Qrm0/bY+Nv8AwvPxo2n3Ojf2b/wjFnrlzHa2tt4VWzST7Zb7iA0bXr3gmm52tFGrFcKK+8K8z/aA/Y3/AGXf2qL/AEXU/wBob4JaH4suPDzu2jzarblmt95UuuVI3ISiko2VOOleJn+VVc3wPsKc+V3T8n5P8/VH0nDWZ5bl2Iqxx0ZOnUhy80VGU4NSjNOKk4p35eV+9HSTd3blfwN+xx+0Pp2t/s8aNdeNP26tb0547u/t9ItLrxvp9jKmlRXk0Wn7oCgMZNokBwQDzk8mvqn9l3wX4V8VeKfC3izwRqqXui+HIrifT77T7tJ7effBLbYMq5D/AOtc/Kc7lPoRX0tHp9hFGsUVjCqqoCqsQAAHQCpURI12xoFA6ADFeXhuFq9LF0q1bFSmoO6TX5Xk7fcTmeeYfG4ivUoYeNKNRyaS2im20tEr2WnQWiiivrz50q61pNpr2kXOi3ykw3ULRyY6gEYyPesD4a/CzTvhyt1JDqL3c90QDLJGF2oCcKAM+vJ7n0rqaK5amCwtXFQxE43nG6T7XNY16saTpp+690cr8SfhVpvxFe0uJ9RktJrUlTJHGG3xkglcHoeOD2z0NdFpGmWui6Xb6RZLiG2hWKMH0UYFWKKKeCwtLEzxEI2nO133tsEq1WdJU29FsgooorqMgrP8WWTal4W1LTls0uTcWE0Yt5c7ZdyEbTjnBzj8a0KKmceeDje1xp2aZ4R+zT8OBZfEEeMFs7i2j0bw/Po9vAybYwJZbZypyM7lFqgxngMcjkV7vRRXnZRlscpwMcMpc1r67bu+x0YzEvF13UasFY3xC+Hvgn4seB9V+GvxI8MWmtaDrdk9pqul38W+K5hcYZWH6gjBBAIIIBrZor0pRUk01dMxp1KlGoqlNtSTumtGmtmn0aOJ+Bf7OPwN/Zn8Br8MfgR8MtL8M6Et3JdHTtOhO155Mb5GZiWdiFUZJJwqjoAB2ccEERzFCik9SqgU+ilCEKcFGCsl0WxeJxOIxleVfETc5yd3KTbbb6tvVvzYUUUVRiFfk9e/GjUtE/4J6+OfiH8U/irfaX8UBdapN4luL6aGPUrHxcly7W9qsDZCFJILdIYguPs8SMoKjcf1hrzLVv2M/wBlrXf2grb9qrWPgfoNx8QrNEW38UyWxNwpWIxKxGdrOsZ2hypYAKARtGPnuIMmr5xCkqdTk5Xf/g+qtp6vVH1/C2d5RlUasMfRc05QmuVRbbp8/wC7fNa0KnP7zV2uWL5JbHyh8P8A9ojw1YaRoeueJf28LmXVIrK1m1KzvPiNpzQtceWplR0AwV37gVBx2zX11+zzrHijWPD93Prl1PcWomU2NxcMWL5BLAMfvLnHPqSO1d99is/+fSL/AL9ipAAOAKyy7IMVgsbGvUxUqiSejv19ZP19bHi4zMqWJpyjGjGF3fTp6afIKKKK+mPKCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooqDVbSXUNMubCG5aF54HjSZOsZZSAw9xnNAHzx+zv/wAFXf2Iv2pf2hNT/Zl+DfxOu77xLYLfNYyXWhXVtYa2tlN5N4dOu5UEN6IJDtk8pm28nkAmvo6vxU/4JW/s3/tM2H7RP7IX7PHjH9m/xx4UvP2SbL4kR/FDxdrfh+W20i/bVbmZbFdOvG+S/FwJVlbyydoB3dK/augAooooAK8N/bZ/4KJ/swf8E/NK8Oat+0l4i1eyTxVqf2HSI9H8PXN+xffFGXkMKMsMYeaFd7lQWkUDJOK9yr8+/wDg4/8AFurS/sGxfBTwf8I/H/i7xB4r8XaNeabbeB/A19rCww6dq1jdXJuHtY3Fv+6DFN+PMKsFzg4AP0DVgyhh0IyKWua+DvxN0X4zfC/Q/in4c0XW9Nsdd09Lq1sfEmizadfwI3RZ7adVkhfjlHAIrpaACiiigCh4q8T6H4J8L6l4z8T34tdM0iwmvdRumRmEMESGSR8KCThVJwATxwK8P/ZA/wCCmX7KX7b3jjxJ8MPgrr3iC28TeFbOC+1Xw74u8JX2jXv2Gc4hvI4byKNpIH4xIBj5l9Rn2rxz4pg8DeCdY8bXWkX+oRaPpVxfSWGlWjT3VysUbSGKGJeZJGC7VQcsxAHWvzl/4IzfFHWP2q/2y/ix+2t+0Z8G/ib4P+LPjPQE03R/DXij4ZanpOleFfCVldgWunpfXUKRXt7LJKLiUqe5CKFRqAP0vooooAKKKKAPnf8AbN/4Ki/smfsE69ZaH+0Xq3imzS4s4ry/1XRvBOoajYaPayz+RHPfXVvC0VojSAqvmMCdpwK+gdN1Kw1nTrfV9Lu0ntbqBJraeM5WSNgGVge4IINfmV/wcX2Fx8c/hdF+zf4H+BX7QevfEiKyt7/4ZS/D3Rbu48J6xfzX0GbbWNhNpKkP2VHKXqhVWUmMnc1fpJ8PYvE8HgDQ4PGtvaxaymj2y6vFZKBCl0Il81YwOAgfcBjtigDYooooAKCQoLMQAByTRXif/BRvwh+0t8Qv2I/iL8P/ANkKKF/iFr2gNp2h+dqiWJVZ5EiuGS4cFYJRbtMUkIO19pwcYoAX9jX/AIKC/sv/ALfMXje7/Zh8a3Gu2vw/8WTeHdfvX06SGFryMZJgdwBNGRyJF4III617XX5lf8G+vws/aS+Cfxb/AGmfAfxW/Yl/4VB4Xk8e6fL4etV8Rm+t42h0y2tRaWsn2aEXsKxRI5vE+VnZk27lJP6a0AFFFFABXzn8Sv8AgqB+zr8M/wBqqb9ji58IfErXfGVm+lDVT4S+G2parYaYuoki1kurq2iaK2RgHJeQgARuScKcfRlfkt/wVQ8AfELSv27X8f8A7CngT9pnS/2ide8X+EIIdb0G1u4/AGraLbBROb+WL/RJIY4JbpHW5PmLJnYNrZIB+tNFFFABRRRQByHx8+PXwl/Zg+Duv/Hz46+NLXw94T8MWBu9Z1a7yUhjyFAAUFnZmZUVVBZmYAAkiuf/AGUv2uPhN+2R8PJ/iR8JLPxLZ2tpfmzvLDxd4UvNGvoJPLSRS1vdxpJsaORHVwCrBgQa+d/+Dgn9nb4xftMf8Ey/E/gn4HaDrGra3pXiPQ9dk0jw6N2oXlpZahDPOtsv8c6xq0iJ/E0YABJAqj/wQ2t/2g4/h18WLn4iT/FhvhvP8Tpm+Cg+OD3TeJRo32aLzTcfbP8ASREbnzfLEvzYDY+XFAH3LRRRQB//2Q==", 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", "info": {"equation": "2+0*7=2", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "7f80a26c93d2524d32d04b577fc918cc65b61bc5737bc87822953a734ced41ab"} +{"episode": 26712, "episode_seed": 1158736280, "split": "train", "timestamp": "2025-10-28T03:45:04.154135", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1158736280, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 4, 1])", "action": "('move', [8, 5, 4, 1])", "reward": 0.0, "image": 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MhEPE2u28GJr8RjCb8nA6AnaBuIBbJGa8E1b4NfCtf+CkEHxuHgWw/wCEti1qDTYte2N56Wh0J2MQ52gEk8gZwSM4OK/Oq/D2Ky+dGc8Q2nWjprbWXxb799Ou5+3cS+JWW8VcQf2hQwzoRhhVTcY2/eOMdYTs1+6bfL9puEY+6m/d+sq8T/4KQa/8T/C37B3xY8Q/BqS8TxJaeCL6TTpdPTdPF+7PmSRjrvWLewI5BGRyBXtlNliiniaCeNXR1KujjIYHqCO4r9Br03Woypp2umr9rrc/HMsxkcvzKhipQU1TnGTi9pcsk+V+TtZn8+P/AARI8Y+OJ7P4qeBbrxHdf8IzZeBr/ULXT2mXyre+lEMck6g8qzRxRgnpiNc9BX7a/smeNNS8c+Fpdai8Yt4h0p7e3+xayb1blbhgpVmWVPlcnaNxXjPpmvH/AI9fs6/BD9mXwZZfD/4B/DTTPC2jT6D4lvptP0qIqj3Ei2IeQ5JJJCqOvAUAYAAr63s0RLSJUUKBGMADA6V8NkGS18Hm04yrP91y3SvaXNF26/Z6afcff+JXF+C4xz6vmuGw/s4V3onbmXIoxu7aXla7s+u73JKKKK++PzI+Tv8AguB4g+KHhr/gmJ8T9Q+FEt5HeyWFtb6lLYJukTTZbqKO86chDA0gcjohY8DJr50/4NbtV+It3+yV480rXorj/hGrTxwp8OySwAIZntkN0qN1YAiAkdAWPqa/QT9prTrHWP2cfH2kaparPa3fg3U4LmB/uyRvayKyn2IJH41wH/BP34X/AA8+DXwr1/4dfCzwjZ6Hodh4vl+yabYqRHGXs7N2PzEkkszEkknmvnK9FviijU5n/Dlp00f/ANt+CP0vA8X4TDeFWL4ceGTqVMRCoqmmiUVp3uuWy6cs5bdfd6/FT/g6k8Q/FFfjH8LPDFzJeJ4LXw1dXengR4t5NU+0FJzuH3pFhFtwfuiTj77V+1dfLn/BTH4OfC74zaN4W0r4q+B7HXrXSodW1HT7e/VikN1Hbx7JcAjJG48HKnPINXxTTdTI6tna1n+KOfws4pw3B3G2GzTEUfaxipqytf3oNXjfS6v91z5u+EPiH4V/tGfA/wCH2kftOftB23jvVp9CsL/U/B/ijxhZXNqdS+x/vGezTAZk3ykK2Qh5xlQR9if8E4tR1fU/2N/CMuo315dWkLahb+Hbq+X95No0V/cR6a+f41NklsVfkuhVsnOayf21PhN8NvjN+z54T+H/AMUvBtnrWjah4g083mn3QYJKUtZnXJQq3DKDwe1ek/stWNlpX7OHgfS9MtI7e2tfDFnDbW8KBUijSJVVFA6AAAAdgK83JcvrYDPKkKlZ1H7NO785er2tp6nBm+eUMwyF04wcHOs5qCtyQSUtIa/ac9VyxSUI6yv7ve1zvxZg0yf4d6qNWbES2xZWCgkSAjZjPfdj866KvGP2wviReeHfBsvh/wAN2jXep7FkgtF6TXDt5dtFnBxumZMnHA55Fe7neJhhsrquSvdcqXdy0SPlsDTlVxUUtLO9+yWpxv7Euu+GvGXxr+IWrvGTqWj21npWlPLHHhrJZJvtEkLByzBrxJIpAVXBtYuvWvpmvmXwh8H7r9nD4xeA7Tw9dedBZ6a2mavPNJGrXtvdKrTylvLGX+2xRzYGz5WfuQp+mq4+GpKnl7wsladJuMl87p/NM2zNc2I9qndTSa/y+QUUUV9Cecfgl8GfGv7S17/wcgzajqq6nL4ib4rajp9/FNagsmgKssQG0jCwrp6oysP4QrAkkZ/e2vlK3+Dvwug/4KUTfHCLwPYjxdPrn9my6+VYzm0HhsMIuTtAyByADxjOK+ra+b4coujDEpyb/ez38rfn1P0vxL4wwnF9fLqlDDqiqOGpU2lbVxve1vsraKeqRHeWtpfWktlqFtHNBNGyTwzIGR0IwVYHggjIINec/stfDP8AZX+G3wmh8O/sjaR4Vh8HNf3E0J8KXkd1aPcl8TN5qO4Zwy7T8xI2heAABxP/AAVS8QfFDwt/wTu+LmvfBuS8TX7fwhOYJdPj3TRW5ZVupE7grbmZtw5XG4cgV+Sf/BC34y614b8F+PvBHi39pzUvBPhq1vrO60awi8V22nxSXkqyLcuomBLHZFb5xwMDuaWcZ9h8ox1OFSk5Xi3dWutdlf0117F5BwPi848Ocwz2ni+SFGrTi6V3aey5mr2uvae5o9OfY/etVVFCIoAHQAUteW/st+MNS8beGbnWx4qbXNMlELafq32tbhLj5SGZJF+VwcKSV4yTXqVexl2NhmODjiIxaUr6PfRtfofnGJoPDVnTbvY/N/8A4OdNf+J+k/sMaBpXhCS8Tw/qfjm3h8WtbJlGiWGWS3SUjohnRGHYuid8A+H/APBNHx94P8ffsA6D8NP2hf2mpoNMlku9NPgm/wDGtrZ2s+lrMVS3kgyshif51KlhvUkcqef1c/aF8G/Arx/8G9c8KftL2Whz+B7m3Q6+niS6SCyEayK6NJI7KI8SKhDbhhgMHNcr8cPAHwpT9irxB8PfB/h3SW8Ht4CfT9NsLAK1o+mm28tI4yhwYzEQAQeQcg96+cznIsRi8bUxUMQ4Lk2V76X03Xuv876H6jg+O8LS8O8Lw/8AVWqlPEur7ZW7fZej9or917sY69vO/wDgmfpGj+FX+LPgr4d6Zb2fgrTPH6DQrSwtY47O2vJLC2k1GG38vjYtyxLKOElaRBjaVX6irw/9gb4b+A/hF8H9U+HXwy8K2miaHpniq6Sw0yyUiOENFC7YySSSzMxJJJJNe4V7OQRcMlw6vf3U/v1/DY+D4lxlPHZ5WrQva6V38UuVKPNKzfvTtzS1fvN6vd/iJ/wdE+Mfi/pf7U3wx01NR1G08Mad4SbUPDksOY4l1X7Y4uZEcdZVRLP3UFSMbjn6z/Z++LWl/Ebwf4Jfxz+1HceLPFt1oVnc3Ph+/wDGFndMupPZjzyltCA3mLvmGBnaC3HHHrv/AAU0+Dnwu+L0XhYfE7wNY62NC0jXNS0hb5WItruNbTZKACASM9GyD3Br6jsLe3FrDKIEDeWp3BBnpXzNfI62Z5xi4RxEoL3LrdPmjs9VorH3md8dYHHcDZNlUMIlPCqqnPTXmkmuXS6vvO+8tTM+GvhxfB/w70HwmjSEaZo1tagy43Hy4lTnAAzxW3RRX3VOCpwUV0Vj8ok+aTYV5D+094EbxxqWi6Z/Zzn7ZBcaeLyAEyRrM0ZdR1A4QNyP4D2Br16iuTMsCsxwcsO5cqbWvo0/0NsNXeGrKole1/xVgoooruMAryHUfAv9pftQW2t/2dJCLaddReaJTicrZPbBmJyOj7eMfcHvXr1FcGOwKx3srytyTjP15ehvQruhzaX5k194UUUV3mB5H+1R4JPjaDSdMGnO5uorvTxdQKTJELgRhlHUDOwHkdU+tetxoI41jB4UADNLRXBh8CqGNrYjmv7Tl07cqt+JvUrupQhTt8N/ndhRRRXeYGJ8SdLGt/D7W9GbT1u1u9Knhe1YHEqtGVK8c8gnpXL/ALNfhl9A8EXuoSCUNrGrvelZRjH7mKEY46EQg8+p7Yr0OiuGeBU8xhi+b4YuNvVp3/A3Vdxwzo23ad/QK+Pf22/GdvoX7T7WXxM8WS6V4Xt/g3eXWjtcyJFbPMbtxqcqs2N80UCWHynO1JScfMa+wq4r40/s5fAz9ou00aw+OHwx0rxND4e1iPVdGj1SEuLW7jBCyLgjPBOVOVbuDgVhnWX1M0y+WHhLlbtr00d9T1eH8fgcvzDnxkW6bi4vlSclfrHmsr30eq0bPh/9mX4v6P8AEH4bfD+bx7+1RdeJ/FFzoNlcTeHdT8X2czfb2thvxaxAMJV3ONg+7kjHFfevwo8MDwX8M9B8KBpD/Z+lQQnzsb8hB1wBzW6trbI29bdAw6EIM0+uXKMkq5bXnWq13UcklqtkterZjmmZ08wqOVOkqacnKy2V+i0Wi2Cuc1H4baXqPxAtPH8t04ltodptwg2uwyFbPUYBPHsPQ56OivYr4ahiVFVY3s1Jeq2Z5lOrUpNuLtdW+TOc8YfDfS/GGv6Xr95dPG2my7mjVQRMoIYKT2+YDn0JHuOjooopYahRqzqQjaU2m33srL8AlVqTioyei2CiiityDyJPA7Xv7UY8QnTngFpOdQaWJTtnY2BtFZic/wALY4xzGPQ59doorhwOBWBVRKV+ecp+nN0+RvXruu46W5Ul9xHd2lrf2sthfW0c0E8bRzQyoGSRCMFWB4IIOCDXH/BD9nb4Ifs2+BU+GfwL+Gml+GtCS7luhpunQkIZpCC8hLEkk4AyT0UAcACu0orscIOak1quvXUI4nEww8qEZtQk03G75W43s2tm1d2b2u7biKqooRFAA6AClooqjA/N/wD4OdNf+J+lfsMaBpXhCS8Tw/qfjm3h8WtbJlHiWGWS3SUjohnRG9C6J3wD5B/wS1+Ndtrn7EfhbQPjV+1leWf2aa40+z8K6j41tLeE6bFJ5cEDQPiTyyoKgEglQAOMV+rfxc+EPwz+PPw81L4T/GHwbZeIPDmrxompaTfoTFOFdZFzgggh1VgQQQVBFX/CHgXwd4A8KaZ4G8F+GrPTdI0awhstL0+1hCx21vEgSONR2CqoA+lfKZnw7iswzGWIhiHTTilpe/putOvqfp8OPcBHw1o8NPCJ1adeVX2mlmnFpdL82tn05Yx17ct+zj4Yfw54CmupRKH1bVJb5llGMblRBgYHBEYPPr6YrvqKK+hwWGWDwdOgnfkSV+9kfmteq61aVRq13c+Lf25vHNt4f/aM8TW3xN8ZT6T4esvgi91oBnkSODLXN0NTmiLcSTIsemgjnaHj4/ec8t+zB+0BeeIfBvhGTVv2vNQ8QeLdW8M2Z1HQbnxlZ3EjXrW8ckwW3hAYOrh/lXoAwxivsb4w/s4/Az9oC68PXvxn+GOleI5fCmspqvh19ShLmyu0IIkXBGei5U5U7RkHArsltbZG3pboCOhCDNfM4vhnGYrHVq8cU4KdtFftaz1W3TyPq6+f5W8qoUaeHvVilzNqKS5VZcjV373xTvb3tr7kOjPey6PaS6ku24a2jM6+j7Ru/XNWaKK+ujHlile9j5Bu7uFFFFUIKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK8b+O37e37MX7N/x38B/s4fFrxzPYeKviNcCLw/bQ6XPNDHvmS3he6mjUpapLcSJBG0pUSSsEGTXslfmd/wVV+Cfxv8AGP7f3h3TPAnwe8Ua9Y/FPw54C0TS/Euj6S89h4fuNB8cprd/JfTL8ton2JjJGz4EjxFFy2BQB+mNFFFABXl3gD9sT4G/Ez9p3xt+yH4Q1nUJ/Gnw+0qy1DxNbS6RPFbRQ3WfK8ud1CTHj5ghO08E5BA9Rr4u8D/FaO7/AOC6Xjfw4vws+IMVpJ8DdH0CLxTc+BL+PQ5b+2vr/UJY01Ex/Z3AgvIACGwZN8Y+ZCKAPtGiiigBk88VrA9zcSBY40LOx6AAZJryH9kb9uz9nb9t2z8T3HwH17Vpp/B+rR2Gv6dr3h660y7t2liE1vN5N1GjmGaJhJFIBtdeRXr1xMtvbvcOjMI0LFUXJIAzgAdT7V8Q/wDBG74nah+0P4m+On7UnxF+Fvj/AMIeOvHvji2m1XQfGvgS+0aLS9GtIpbPR7K3kuokW9dbaB555Y8hZbwrwAuQD7hooooA5n4yfFrwj8CfhfrXxd8djUG0nQbI3N3FpGlzX13KMhVjht4FaSaRmZVVEUszMABWP+zH+0t8Jf2vfgno/wC0B8EdYur3w7rZuEtmv9PltLiGaCeS3ngmglVXiljmikjZGAIZDUf7V/ivQ/Bf7N/jPXvFHhnxrq+ljQprfU7L4cW88uu/Zp8QSy2S2zLN50aSNKphPmr5eUywAPiv/BFLwN4++HH/AATo8G+FPH3g7XtBMer69PoGneLLL7PrA0ebWLybT5NQQgMLx7V4ZJS43l3Jf5i1AH1ZRRRQB5x+1r+1f8E/2I/gBr37TH7Q3iSXSvCfhxYDqN1b2j3EpaaeOCJI4kBaR2kkRQoGec9BXoVldwahZw39sSY54lkjJGCVYZH6Gvz/AP8Ag4x+DH7Unxs/YwGi/s+fAn/hYmlaXaa1f+KNAttYFtdpJ/ZU9vZXUEIile+eGS4kmW1RQ0kkcWGUrz9zfCq68UX3wv8ADd7438NJoutTaDZvq+jxXouVsbowoZYBMFUShH3LvCru25wM4oA36KKKAPHfiZ+3B8HfhZ+1D4Y/ZD1jw/4z1Hxf4q02DULVvD3gy9v7CwtZriW3jmvbqFGjs4zJDIN0pUfL1r2KvgH/AIKHeEvGP/Dy34E+OP2fPCnxph+I8uueH7DVdc8OwTjwZceD49QvJdXt9UkT9yZUhlkZEm+bfJAYsnfj7+oAKKKKAPJvBf7a/wAAfiF+1H4l/ZA8Ia5qd74w8I2Kz688Wg3P9m28hSGRrT7ds+ztdLFcQSNAH3qkqsR1x6zX5i/sM/Bj9qX4P/8ABa34uxS2PxOt/COv+JPFviDxXLqpn/4RC8sL1dGk0KSw3fuWvxINRjmKfvAkO1/lEdfp1QAVX1fU4dF0m61i5hnkjtLd5pI7aFpJGVVLEIigl2OOFHJPAqxRQB4j+xv+358DP245fF1l8IdF8aaXfeB7+1s/EmleOPBd5ol3ay3EJnhBhu0Rzujw/Toynowz7dXzD/wS68GeLv8AhB/il+0P8RPC2p6Rrfxc+NfiHxALHWrGS2u4dLt510rTEkjlAdAbHTreRQQOJcjgivp6gArif2jf2hfhd+yp8Ftd+P3xm1e4svDnh6COS+ls7GS6ndpJUhiiihiDPLLJLJHGiKCWZ1A6121fMn/BYvwl408c/wDBOf4heF/A/gvWfEE1w2ktqel+G7JrjVG0tNWs5NQksY1BY3kdotxJCU+cSxoU+YLQB7D+zZ+0Z8LP2svgtovx8+DGrXV54e11Zxatf6fLaXEMsM8lvPBNBKqvDLHNFJG6MAVZCK7qvl//AII3eEvF/gj/AIJ5+C/Dvi/wVrvh8R6nrsuiad4rsmt9X/smXWb2XT5tQRwHF5LaPBLMZP3jSSMz/MWr6goAK8d/bE/bx/Zp/YQ8OaD4o/aR8ZXWlW3iPVmsNMWw0me9kOyJpp7h0gRmjt4IlaSWZgEjQZYjIr2Kvzx/4OIfgJ48+MX7P/hm++C6fEE+PGTX/C3hyHwP4FGuw38euaXJY3FjfZdf7PgmXYPt5ysGwkjLLQB+hdvcQXdul3azJJFKgeOSNgVdSMggjqCKfWB8KvC194G+F/hvwTqlys1zo+gWdjcTKciSSKBI2YE+pUmt+gD/2Q==", 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", 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", "info": {"equation": "14+18*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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jl8PfjR8JvGVp4s+I998WNItT4si1W31XU7q2dBBf2zyqTtt00v7QzIoAQIJMBjuP3J4O/Zt+BHw/+Kvib44eDPhbpOneLPGQiHibXbeDE1+IxhN+TgdATtA3EAtkjNeCat8GvhWv/BSCD43DwLYf8JbFrUGmxa9sbz0tDoTsYhztAJJ5AzgkZwcV+dV+HsVl86M54htOtHTW2svi3376ddz9u4l8Sst4q4g/tChhnQjDCqm4xt+8cY6wnZr902+X7TcIx91N+79ZV4n/AMFINf8Aif4W/YO+LHiH4NSXieJLTwRfSadLp6bp4v3Z8ySMdd6xb2BHIIyOQK9spssUU8TQTxq6OpV0cZDA9QR3FfoNem61GVNO101ftdbn45lmMjl+ZUMVKCmqc4ycXtLlknyvydrM/nx/4IkeMfHE9n8VPAt14juv+EZsvA1/qFrp7TL5VvfSiGOSdQeVZo4owT0xGuegr9tf2TPGmpeOfC0utReMW8Q6U9vb/YtZN6tytwwUqzLKnyuTtG4rxn0zXj/x6/Z1+CH7Mvgyy+H/AMA/hppnhbRp9B8S302n6VEVR7iRbEPIckkkhVHXgKAMAAV9b2aIlpEqKFAjGABgdK+GyDJa+DzacZVn+65bpXtLmi7dfs9NPuPv/Eri/BcY59XzXDYf2cK70TtzLkUY3dtLytd2fXd7klFFFffH5kfJ3/BcDxB8UPDX/BMT4n6h8KJbyO9ksLa31KWwTdImmy3UUd505CGBpA5HRCx4GTXzp/wa3ar8Rbv9krx5pWvRXH/CNWnjhT4dklgAQzPbIbpUbqwBEBI6AsfU1+gn7TWnWOsfs4+PtI1S1We1u/BupwXMD/dkje1kVlPsQSPxrgP+Cfvwv+Hnwa+Fev8Aw6+FnhGz0PQ7DxfL9k02xUiOMvZ2bsfmJJJZmJJJPNfOV6LfFFGpzP8Ahy06aP8A+2/BH6XgeL8JhvCrF8OPDJ1KmIhUVTTRKK073XLZdOWctuvu9fip/wAHUniH4or8Y/hZ4YuZLxPBa+Grq708CPFvJqn2gpOdw+9IsItuD90Scffav2rr5c/4KY/Bz4XfGbRvC2lfFXwPY69a6VDq2o6fb36sUhuo7ePZLgEZI3Hg5U55Bq+KabqZHVs7Ws/xRz+FnFOG4O42w2aYij7WMVNWVr+9Bq8b6XV/uufN3wh8Q/Cv9oz4H/D3Sf2nP2g7bx3q02hWGoal4Q8UeMLK5tv7T+x/vGezTAZk3ykK2QhycZUEfYH/AATYmvZP2LvB0Dy3EmnWv2+18MS3MQRpNEhv7iLTGGOGQ2SWxR/4k2tk5zWb+2p8Jvht8Zv2fPCfw/8Ail4Ns9a0bUPEGnm80+6DBJSlrM65KFW4ZQeD2r0n9lqxstK/Zw8D6XplpHb21r4Ys4ba3hQKkUaRKqooHQAAADsBXm5Ll9bAZ7UjUrOo/Zp3fnL1e1vxODN88o5hkLpRg4OdZzUFbkgkpaQ1+056rlikoR1lf3e9rnfizBpk/wAO9VGrNiJbYsrBQSJARsxnvux+ddFXjH7YXxIvPDvg2Xw/4btGu9T2LJBaL0muHby7aLODjdMyZOOBzyK93O8TDDZXVcle65Uu7lokfLYGnKriopaWd79ktTjf2Jdd8NeMvjX8QtXeMnUtHtrPStKeWOPDWSyTfaJIWDlmDXiSRSAquDaxdetfTNfMvhD4P3X7OHxi8B2nh6686Cz01tM1eeaSNWvbe6VWnlLeWMv9tijmwNnys/chT9NVx8NSVPL3hZK06TcZL53T+aZtma5sR7VO6mk1/l8gooor6E84/BL4M+Nf2lr3/g5Bm1HVV1OXxE3xW1HT7+Ka1BZNAVZYgNpGFhXT1RlYfwhWBJIz+9tfKVv8HfhdB/wUom+OEXgexHi6fXP7Nl18qxnNoPDYYRcnaBkDkAHjGcV9W183w5RdGGJTk3+9nv5W/PqfpfiXxhhOL6+XVKGHVFUcNSptK2rje9rfZW0U9UiO8tbS+tJbLULaOaCaNknhmQMjoRgqwPBBGQQa85/Za+Gf7K/w2+E0Ph39kbSPCsPg5r+4mhPhS8jurR7kviZvNR3DOGXafmJG0LwAAOJ/4KpeIPih4W/4J3fFzXvg3JeJr9v4QnMEunx7porcsq3UidwVtzM24crjcOQK/JP/AIIW/GXWvDfgvx94I8W/tOal4J8NWt9Z3WjWEXiu20+KS8lWRbl1EwJY7IrfOOBgdzSzjPsPlGOpwqUnK8W7q11rsr+muvYvIOB8XnHhzmGe08XyQo1acXSu7T2XM1e117T3NHpz7H71qqooRFAA6AClry39lvxhqXjbwzc62PFTa5pkohbT9W+1rcJcfKQzJIvyuDhSSvGSa9Sr2MuxsMxwccRGLSlfR76Nr9D84xNB4as6bd7H5v8A/Bzpr/xP0r9hjQNK8ISXieH9T8c28Pi1rZMo8SwyyW6SkdEM6I3oXRO+AfEv+CbXxJ8M/Er9gXQPh1+0j+1HdLp8n2nSv+EM1TxzbWttPpMcnlw2skBKyGFlBTaWG5Pl+6RX6s/tC+DfgV4/+DeueFP2l7LQ5/A9zbodfTxJdJBZCNZFdGkkdlEeJFQhtwwwGDmuV+OHgD4Up+xV4g+Hvg/w7pLeD28BPp+m2FgFa0fTTbeWkcZQ4MZiIAIPIOQe9fOZzkWIxeNqYqGIcFybK99L6br3X+d9D9RwfHeFpeHeF4f+qtVKeJdX2yt2+y9H7RX7r3Yx17ed/wDBM/SNH8Kv8WfBXw70y3s/BWmeP0GhWlhaxx2dteSWFtJqMNv5fGxbliWUcJK0iDG0qv1FXh/7A3w38B/CL4P6p8Ovhl4VtNE0PTPFV0lhplkpEcIaKF2xkkklmZiSSSSa9wr2cgi4ZLh1e/up/fr+Gx8HxLjKeOzytWhe10rv4pcqUeaVm/enbmlq/eb1e7/ET/g6J8Y/F/S/2pvhjpqajqNp4Y07wk2oeHJYcxxLqv2xxcyI46yqiWfuoKkY3HP1n+z98WtL+I3g/wAEv45/ajuPFni260Kzubnw/f8AjCzumXUnsx55S2hAbzF3zDAztBbjjj13/gpp8HPhd8XovCw+J3gax1saFpGualpC3ysRbXca2myUAEAkZ6NkHuDX1HYW9uLWGUQIG8tTuCDPSvma+R1szzjFwjiJQXuXW6fNHZ6rRWPvM746wOO4GybKoYRKeFVVOemvNJNcul1fed95amZ8NfDi+D/h3oPhNGkI0zRra1BlxuPlxKnOABnituiivuqcFTgororH5RJ80mwryH9p7wI3jjUtF0z+znP2yC408XkAJkjWZoy6jqBwgbkfwHsDXr1FcmZYFZjg5Ydy5U2tfRp/obYau8NWVRK9r/irBRRRXcYBXkOo+Bf7S/agttb/ALOkhFtOuovNEpxOVsntgzE5HR9vGPuD3r16iuDHYFY72V5W5Jxn68vQ3oV3Q5tL8ya+8KKKK7zA8j/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/DWhJdy3Q03ToSEM0hBeQliSScAZJ6KAOABXaUV2OEHNSa1XXrqEcTiYYeVCM2oSabjd8rcb2bWzau7N7XdtxFVUUIigAdABS0UVRgfm/8A8HOmv/E/Sv2GNA0rwhJeJ4f1Pxzbw+LWtkyjxLDLJbpKR0QzojehdE74B8g/4Ja/Gu21z9iPwtoHxq/ayvLP7NNcafZ+FdR8a2lvCdNik8uCBoHxJ5ZUFQCQSoAHGK/Vv4ufCH4Z/Hn4eal8J/jD4NsvEHhzV40TUtJv0JinCusi5wQQQ6qwIIIKgir/AIQ8C+DvAHhTTPA3gvw1Z6bpGjWENlpen2sIWO2t4kCRxqOwVVAH0r5TM+HcVmGYyxEMQ6acUtL39N1p19T9Phx7gI+GtHhp4ROrTryq+00s04tLpfm1s+nLGOvblv2cfDD+HPAU11KJQ+rapLfMsoxjcqIMDA4IjB59fTFd9RRX0OCwyweDp0E78iSv3sj81r1XWrSqNWu7nxb+3N45tvD/AO0Z4mtvib4yn0nw9ZfBF7rQDPIkcGWuboanNEW4kmRY9NBHO0PHx+855b9mD9oC88Q+DfCMmrfteah4g8W6t4ZszqOg3PjKzuJGvWt45JgtvCAwdXD/ACr0AYYxX2N8Yf2cfgZ+0BdeHr34z/DHSvEcvhTWU1Xw6+pQlzZXaEESLgjPRcqcqdoyDgV2S2tsjb0t0BHQhBmvmcXwzjMVjq1eOKcFO2iv2tZ6rbp5H1dfP8reVUKNPD3qxS5m1FJcqsuRq7974p3t7219yHRnvZdHtJdSXbcNbRmdfR9o3frmrNFFfXRjyxSvex8g3d3CiiiqEFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFeN/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": "14+18*1=32", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "88e30bbb556404e8d7b434b54dab64e4ac0946db2f9ac9b4934ee6cebfb39052"} +{"episode": 26713, "episode_seed": 1833813968, "split": "train", "timestamp": "2025-10-28T03:45:04.202550", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1833813968, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 0, 7, 4])", "action": "('move', [6, 0, 7, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "43-27=16", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "43-27=16", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "4e16daffab36f8d75cae277e92664f915da21b8bdd1f973dc35bfffeba1c84b1"} +{"episode": 26714, "episode_seed": 775081360, "split": "train", "timestamp": "2025-10-28T03:45:04.253392", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 775081360, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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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", 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PljxEf2bPjtrGmeGviR+0HZfEuO0vmuNH8NeJvGlnqVsbkRuomFquFmkWNpMFlbaGYgA8j23/AIJS319P+zprej6XfXN14M0f4havp3wzuZ8NG2gxNGsSW8gJ862jn+1QwuScxRIASoBOl/wUU+Dnwu+NPw68HfD/AOKvgiy1vRbrx0kk+n3QYI7JpmoMhyhVhhgDwa6/9iDw/ofhP9mbQPC3hjSYLDTdNvNUtbCxtYwkdvDHqV0iRqB0AUAD6V5GUZfWwPEk4VKzqNU73fW7Ss9XsfNYnOaNXhH6qua8qitF25IKKb5o6355NtP3YpK+snL3fWK8O/4KVeJvjF4N/YN+Kfif4BPfJ4ssvCc8mmS6ZFvuYVyomkiHXesJlYEfMCoI5Ar3GggMCrAEEcg19nXputRlTTtdNXW6ut/kfL5XjI5dmdDFypqoqc4ycZbS5ZJ8r8naz8mfzS/8Eb/H3xM0j9svw/4C8O+J7yHw5r96Z/FGmpOPJvDb29w1s7q33mSV8qV+Ybm/h3V+yf7M3xB1T/hLtb8EeEfiG97qFp44vZrnw6mppIbFJLggBoV+aKNxl/m4JZmB9Oq+J/7KP7OX7MPgWJvgB8H9G8KHxH8QdPu9bOk25T7VKBNtJyThV3vtQYVdzYAya9H/AGOo0HwovJAg3HxdrOWxyf8ATpq/NsJw7iaObxwjrtNQ5rxvtz/CtV6+vQ/VvEzj7L+OM6nnGFwvs4NRhaVuZuMfila6vryrX4Yx16Hq1FFFfpx+NhWZ40n1+18HatdeFIfM1SPTJ202PaDvuBGxjGDwctjg8Vp0UmrqxUJck1K17dHsz+av/gmL45/aXv8A/grv4E8UiXWLvxvqvxCkTxu13a77lreWR11Uzq4+TbCZy3A2beMFQK/pUr4j+C3wE+DXhj9uaL446B8OdOtvF2ufEvxPb6r4gRGNxcRCPVRtJJIUfu487QM7RnNfblfKcI0HQwlaLk3apJa+Vtfn1P1nxf45wXHec4TFYbC+wVOhCLWl27t20+zG9odba2V7Ir8Fv+Dm7xR8Zb79tzRPCfi+a/Twdp/hKCfwbA8e21aSRj9rlQjhpPMRFYn5gEjHAxn96a+Vf+CjHwG+Dnx68ceAtJ+Mvw70/wAR2ul6Nrt5p9vqKsUhnEumLvAVhngkYOQe4rfi2k6mR1GnblafrqlZ/ff5HD4RcX4TgnjWlmWJoe1jyzjZW5o8y+KN9L6Weq92Uj5b/Y0/aBX4gfsg+DLv9oj9trUf7Y1LQWj13R9U+IFlCJIDJIiRSxn5wGtxGGDHcQxJOSa+7v2VvC0ME+t/EG2d2h1ezsbW2ZSDE8UBuHV0IHzA/aSM5IOBjoc9X+zxZWf/AAoDwN/okX/InaZwIx/z6RV2oAAwBgDsKxyzh6thcZTxdXEyqcqdk13Vt23/AFY+VzzPKWaYvEVKdCNJVZylyx2jeTlyrRaLZeQUUUV9WfOHj+qfBv8AYkvP2vbL4p6v4e8EN8ak0fNjPNfQjWTZiN4vNW3L7mUR+Ynm7CQoK7sDA9cW1tUYMltGCOhCCv5i/wBpH4x/tU6D/wAFQvFPxO8QeL9a0b4k6d8RZ4LW/eRbeeyRZTBBGm75EiFuURQfkMZ5ypJP7OeCfjp4TPiaOw0H9s668Q3d4Gt7fSbjx7Z3XnM39yOMBy/HG05618LDjLB0JVYyoNPme1tfOW1n33P2jxF8NMw4WoZZOrj1iFWopq7b5LWfLDV/u/e9x6X97RH25RWL8PLnW7zwTpt14iD/AGx7cGYyDDHk4LA9CRgn3rar7WhVVehGolbmSdnurq+p+NVIezm49nY8l/by8QfFzwr+xl8TfEnwHF5/wl9l4MvptBbTofMuEnERO6Je7qNxXAJyBgE4Ffz+f8Eefij4w8Eftm2/2f4x3vhDSNa0e9j8V6vDrMNmZYViaWNXmnBAzcrD0+Yk+hNf0u18Q/8ABN/9n/4K/CP4r6d4i+G3w10zR7/xN8Orq71+7to2Ml7N9o01tzlycfNI5wMDLHivkOJcFUxea4SMKrg5cyTXSyvdarV7H6/wLx9gOG+BM5yitg1VniVHlk7WV1y+9fX3Pjha9p323PLPjV4R/Yv+MXg/xb47+MPxU0nx7d6d4Tkin8Q614ottTvNEtFZnjNrtOLdvPKlSqhpJCqEsCFr7x/ZP1f4na/+y/8ADvXPjXBcxeMLzwTpk3iiO9thDMt+1rGZxJGAAj+YWyoAwcivmX/gpH+z/wDBT4sfFa48U/En4aaZrWoeF/hpJdaBcXsbH7FN51029VBCsd0aH5gR8o4r7VsSWsoWYkkxLkn6U+G8HUwea4ynOo5uPIm31um7vV6rbc+RzvOKWL4cwmGXM2pSl71rU0vdUKerdpaOekdVFKPu3ctFFFfZnxZX1d76PSbqTTE3XK27m3XGcvtO0c++K/ml/Ye8f/tW6h/wV08FeMr19ZuPiXf/ABREfi1bm03XQWSZotUSWNhhFS2NyGGAI1Q427Rj+mKviHwF8Bvg3o/7eSfHzTPh1p0XjPUvilq1pfeIgrG4lgFlers5Yqo2xoCVAJC8nk5+S4nw8quIwclJr94lp5219VbT1P17wv48wPB2W5xhsRhFWeJoOMW7aNKS5ZX+xLmvJLW8Vp1X29RRRX1p+Qnw58a/Hkdh+2x8WrL42+M5NM03SvBmkP4Ug1OeO3tY9Ba3dr67gLECQm98xJnOdvk26nAK7vM/2RP2k7W5+AHgfxN8Rf259Sh1kaXFNc6fqXjrT7f5FdvJWW32jZmER7kOCMkHBzX3Z8dP2Tv2b/2mb/QNT+Pfwd0XxVceF7xrrQZdVty5tJGKFsYI3KxjQlGyrbBkHFd+bO0JybWMn/cFfGVuGMbVx9avDFOCm76Xv6PVbbLfTsfb4ziPJ6uU0aNPDfvbU1NtRUY+zhyLkau37T46l1H3kvi3OH/Z+1jxHrXhKa81y6luITc5sbmZyxkQgE4J+8ueh9yO1d5QAAMAUV9PgMLLBYOFCU3NxVrvdnx1eqq1aU0rX6BX8v3iv40ftV6D/wAFMtT+KPirxtreg/E1fiJLbalqTzLa3FmWmNs8WX+SOJYD5YB/diMAfdr+oGvPE/ZO/Zvj/aAk/apT4OaKPiHLZfZJPFf2c/ami8sRYznbu8sCPfjds+XOOK8zPsnr5vGkqdTk5JX6/erdV09XqfqPhd4iZdwCsxWKwar/AFmi4R20evuyv/y7nf37Xfux0Z8taF8Sfhj4r8V2Onx/tXv4yu47l30jSNQ8cWl7++Mbp5kcUeGaQRvIvfCu3HcfXPwI8HN4D+FemeHX84Nvubp1nADq1xcSXBUgAYwZSAOoA55rq1tbVGDJbRgjoQgqSoynIqmW4uWIq13UlJcuq6Xvu2z85xePjiaKpxgopO+n/DIKKKK+iPOOB/aO0VdZ+HqM+lrciz1KG6DEEmApuxIMemcc8YJqb9nfwe3gz4ZQ2TiYPe6heX8iTjDKZ53lxjAwPm4zziu469aK82OXJZs8dzauHJb53vc6XiW8IqFut7/KwUUUV6RzBRRRQB4T4K+G7TftDrqp0qSzXRtc1DVWWFSI3kuIrmMsxYHIc3LvwRk9OARXu1FFebleXLLaM4KXNzScrvzOnFYl4mala1kl9wV8U/HTx3c6b+3h43svi/4ubTdI0n4eaZP4Mg1O4S3shpztM+qXUbMQHcTRQLMx5RI4c7VILfa1ee/H79lH9nL9qa00ex/aF+EGjeLItAvTd6OmrQF/s0rABiuCMqwVdyHKttXIOBWOe5bVzXL3h6c+V3T8nbo/63sevw5mOX5djJ/XYt05xcW4pOcfejJSipNK/u8r1Xuylr0fwV+x/wDtH6XefADwnrvjb9ufVbW8jjlMFhqHjjT7UiyjupVs1kt9oMebVYNyHB5OcHNfev7O2veIfEXhm61LVr+S7tJJ1fT7uSQuJVYbmKt/EmSCCOOT6V3q2FiihEs4gFGABGMAVKAAMAYA7CuHLcgxWBxka9TFSqJJqzvbX/t5/wBWM82zfDZjWqzpYeNJTk5JK1optuy0W23oFFFFfTHhnnd/+yZ+zdqf7QFv+1RqHwc0Wb4hWtn9lt/FT25NykXltF67S3lsybyN207c4AFegLa2qMGS2jBHQhBUlFRCnTp35Uld3dur7vzOnEYzF4tQVepKfJFRjzNvlitoq+0Vd2S0QUUUVZzHlH7dOvfFLwv+x38SfEPwVe/TxRZ+EbyXSJdKg826icRndJCmDulVNzKACdwGATgV8O+PvjN4E8F/E74H+Hvhb+0i/hzSb7RdSW9vdL8RWkPn6Ctghhllnl3bc3cNqqkHLsJRztbH6c1518FP2SP2av2ctY8Q+IPgd8GdD8M3niu8F14gn0y22m8kDOy5ySFUNI5CLhRuOAK+azrI8TmmLpVaVZw5E11ur9VZrXo9VofYZJnuVZflNWhiaHPU99w0jaTnBQ99vVKnbnhZS96692/MvmLwfL4C+NF1qvhXw78dJPHOq6tpn2C5uD4nt9RurW1feoCiIYRA0jNkrjJ5PavuCCIQwJCDkIgXn2FJHbwRHdFCin1VQKfXTk2TTyqVWU6rqSna7a7X83fc+dxuNWLUUocqjfbz+4KKKK9w4QrwnRPhqLz9o1L8aVLZrpniG51hvIUhJHkgni3sWzw/nFuMfMOOhFe7UV5uYZcsfUoycrezmpetuh04fEvDxmkr8yt6BRRRXpHMFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXIfHz47/Cv9mL4N+Ifj78bfFUWieFfC2nNe6zqUqM/lRggAKqgs7sxVFRQSzMoAJNdfXyb/wAFvfgr8T/jz/wTZ8ceDvg94SvPEOuafqeha9F4d06PfcapBpusWd9PbRJ/HI0NvJtTqzBVHJoA9k/ZL/a8+B/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", "info": {"equation": "25+72=97", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", "info": {"equation": "25+72=97", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "31ddbb4bb3edf3adca970433fe3c1b056a197d2673064015c75f2843b363af4b"} +{"episode": 26715, "episode_seed": 4198717172, "split": "train", "timestamp": "2025-10-28T03:45:04.307563", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4198717172, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [8, 1, 2, 7])", "action": "('move', [8, 1, 2, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "87+29=116", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 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": "87+29=116", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "4961681bf9cc0d838271ca5952b3fece20c912295557dd5cba698f272e1132b6"} +{"episode": 26716, "episode_seed": 1063063151, "split": "train", "timestamp": "2025-10-28T03:45:04.360256", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1063063151, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 0])", "action": "('move', [5, 4, 1, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "47+5=52", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", "info": {"equation": "47+5=52", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "0aafc7724c2099689b85ab077b7b5981180fe90a9a86090d2f266a8b3f703e5d"} +{"episode": 26717, "episode_seed": 3631459112, "split": "train", "timestamp": "2025-10-28T03:45:04.427830", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3631459112, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 6, 6])", "action": "('move', [0, 4, 6, 6])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "58+24=82", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 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": "58+24=82", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "9ed4dba07ab793428cf059abee89c1b3c6c440a58026535fe3b6a4fd65d8ee78"} +{"episode": 26718, "episode_seed": 122630755, "split": "train", "timestamp": "2025-10-28T03:45:04.462477", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 122630755, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 0, 1, 8])", "action": "('move', [2, 0, 1, 8])", "reward": 0.0, "image": 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", 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", 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L2z3MDZb91Esn6G18q/Hr9kz4faH8PF+DUGgCDwZcadHZaZDaKqvYeUFMZjO3EcqMqyI+M7lz1Br1D9kP4g/EnxJ8OovCHxpvbe98UaIghutatpkKazEPuXYRUj8tyMCRNgCuDtLKVJXDGKp5fWnldeKhUT0/vf0tV3QZpSliIRxVN3jb7j1qiiivtzwwooooAKKKKAP5ev8Agqb4+/ac8dftteNh+1Rcawut6ZrFxaaTY6rD5SWmmCVzarBGPlWJoyrgrw5YsSSSa/Sj/g1z8U/tD6h8K/HnhXxTaX5+GlhdwSeE7m4sgsP9ouzm8jilwGfAERZeQpbsSRXvn7dP7M/wE/aM/bM8j44/C/TvEqaT8L9NbTRftIPs5k1LUQ5Hluuc7F656cV6z/wTW8I+F/APwj8W+CfBOgWulaRpXxI1O207TrGERxW8Sx2+FVR+ZPUkkkkkmvzfKMHKjxfVg6jfKm79720f3/gf0vxr4wZTxH4V0MjpZcqdS0E37vJT5H8VK2qcrW1SspSV5bv6Iooor9IP5oCsnx34c8FeL/Beq+GPiPpOn3+gX1hLFrNnq0aPbS2xU+YJQ/y7Nuc54HWtavzH/wCDm/4g/tQ+EP2dvCGgfCa41e1+HuuXl9b/ABJvdLh+Qt/o32K3uJV+ZIZC1wCvCOyqrZ+VTwZnjI5fgKmIlHmUVsuvT7u/kfVcEcOVuLeK8JlNKuqMqsrKcvs2Tlp3lpaCuryaV1e59a/sY/AL/gmt8M9c13X/ANhvQvhw2pS2kNvr974O1uHUZ4oGZmjjd1lkaJHZGO3KhzECc7Bj3/7FZ/8APpF/37Ffygfsl/GH45/BP456N4n/AGeviFqfhvXrudbBr3TbxIfMt5WVZI5TJ+7MZ4Y+Z8qlVbgqCP3Qn+OPw681xD/wUF1MpuO0/wDCzdP6dv4a+QwPGeBp4dRlQcfKCVv0P0rxf8Mcx4Rz2k6uYPFe2jdSqN+1XLZWldy0/kd9bNW927+8UijiG2ONVHooxTq+ZvhN8WvE3ju507VPh18SG8UxIyWou7XU0u4Z9hUMJXiJTOcb24I3ds19M19Jk2dUs5hOVODiou2vW/8AWq6H4xjMFPBOKlJO/YKKKK9o4gr+cf8A4Lz+P/2nfE37fvifwp8fLjWItC0W7kX4dafeQmK0XSXI2z26j5H8wr88vLMybWI2BV/o4rzv9on9kv8AZu/az0TT/Dv7Rvwf0fxZa6TdNcaYupxNvtZGXaxSRCrqGGNyg7W2qSCVUjw8/wAqq5vgvY058rTv5Pyf5+p+o+EnH2A8O+J3mOMwvtoSg4XVueF7PmhfS7tytXV4t69H+E//AAQ/+OHxH8H/ABD8SfDnUf2hNQ8E/D59Ll1G7WDXrXT45dWLwRRHzJhuZjEkgKrxhQT2r9B/iXrX7Mvxo8NHwR8bf2u18XeHnuEmu/D2u/E+2NldsmdgmSFozKqsQ4Vjt3qrYyox91/CH4H/AAj+AfgCy+Fvwb+HumeHfD+nbvsml6dbhY0LMWZjnJZiSSWYknua8w/4KR+D/C3jH9kLXPCPijQba90zVPEXhu01CzmT5Z4JNe09HQ4wcFWI4IPPBr5qtwtjcLl0r4uVoxb5Vfl0V2vi2+XyOji/xBwXFnHEs3wuG+rKUo2lG3tFay9o2uX9499JLoubTmPjH4g+Bfh/8E/2tvhFrX7GPg/StF+KmoeL7Sx1rRfBuk2w+1eFpHX+0ZL23QbYYUiG9ZiqEuvDEqBX6j18Hfsrfsv/ALPf7Of7X/gSX4HfCTSPDUmqaXry6jPYRuZJ1SC2KqzyMzbQSTtBAzzjNfeNehwTSccqlPmbvJ6dFbt69T5/jjN8PmOIoUKTlNUo29pUSVSd3ezSlK0YbQjzysru+vLEooor7E+GCiiigBl01wttI1oitKIyYlY8FscA+2a+Rb/4CW/i7w3P8CLHw/c6VZXUf2VrWxjINnE0gYlS4bCgnhmyOR619e0YHXFeFnORxzidJyqOPI72Sve9vuem+vod+CxzwcZJRvzBRRRXunAFFFFAHIfEr4Rab8Q7iHUf7Sezu4Y/LEqxB1dM5AYZHTJxgj7x61r+CPBml+BNCXQ9Ld5B5jSSzSY3SMe5xx0AH0ArYorhp5bgaWMliowSqS3f9afM3lia8qKpOXuroY/jjwXpnjzQm0PU5HjHmrJFNFjdG47jPHQkfQmsj4a/CPTPh5PNqH9oveXc0flmZogiomckKMnrhc5J+6OldfRRPLcDVxkcXKCdSOif9afPcI4mvGi6Sl7r6BRRRXcYBRRRQAUUUUAeD/tEeFAvxPHjZvDirNNo8GnrqkasTLCkksixMfugq8spA4PzHrXX/svfDE/DPwNqXm/alm1/xHdaxPFdgBonm2LtAwCFxGMA5PPWvScA9RRXhYXI44bOKuP9o25q1rbXt167aaL5nfVxzq4OOH5bW6hRRRXunAFZ3i/wh4W8f+F9Q8E+N/D1nq2j6raPbalpuoQLLDcwuMMjowIYEHpWjRSaTVmVCc6c1ODs1qmt0+6PJf2eP2Ef2Qf2UNZ1HxH+zz8AtB8L6hq1qttf39lC7zSQq24RB5WZlQtglVIDFVJztXHq32Kz/wCfSL/v2KkoqKVKlQhyU4qK7JWX4HTjswx+Z4h4jGVZVajteU5OUnbRXbbei0Q1Io4htjjVR6KMU6iitDkCiiigAooooAK4f9ojwqvjT4W3Xh+fw8mpwte2lxJbMrMQ0FxHPFIoXksk0UTD/d5ruKK58Xh1i8LOi3bmTV10urGlGp7GrGdr2dz54+CPwxfxH8YtF+JtwLqNfDVnfxwMqgRStdJGjBiRyQIwQARjPNfQ9GAOgoriybK45Rglh1Lm1bva2/lr+ZtjMU8ZX9o1YKKKK9U5QooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAMzxn4y8KfDvwlqfj3x14gtNJ0XRrGW81XU76YRw2tvGpZ5HY8BQoJJr5c/Zu/4Le/8E8P2p/jDonwQ+GfxQ1m11jxYlw3gi58TeEb/S7LxQIGIk/s65uYkjusYPCHJxgZJArtP+CrP7PfxI/at/4Jy/GL9nj4QBH8TeKvBF3Z6LBJMI1uJ8B1hLHhQ+3Zk8fNzX5R/Dn4Y/tK/tna/wD8E9P2ZPBf7HfxS8C6t+y/qEV18XPFHjTwbPpWnaStoLJGS0upQEvDKbR2URE5LRZ6kqAfu9RRRQAUUUUAFFFFAHkf7ZX7cH7Pv7B3wzg+Kv7Q2t6rbadeXptLC20Pw/daldXUyxPMypDbRu2FjjkdmOFVVJJFbH7KP7Unwi/bR+AXh79pb4EapeXvhTxPbvNpNzf2D20rosjRktG4DL8yHr9a8x/4KwfGvSfhB+xP400e8+HnjnxLfeNPD+peHtFsfAfgq91u4F5PYz+W0sdojtDCSu0ysAoLKM5IFeF/8G3PxFvbb/gnP4N/Ze8ZfB34jeEfFvw40VY/EVv438Aaho8DvcXVy6LbTXUSLc4Vctszt3LnGRkA/QaiiigAooooAKKKKAPk79pv/gtP+wt+yR451nwR8Ydb8bRp4avIrTxR4i0n4cateaPo08hULHc30UBgjb5143H7w719MfDv4h+CPi34D0f4n/DTxPaa14f8QadDf6Nq1hLvhu7aVA8ciH0KkHnkdDg1+T//AAWn/bM+Ov7Svxp1T/gl7pfwD+Mvg74JyBI/i78XPDXwZ1bXrnXoR5cx0zSFt4HjVH4V7piRwwAwu2T9KP2JtF+EPhv9kv4feG/gH4M17w94M07wxbWnhzRvFOkXFhqNtbRLsUXMFyqyxynaWYOoJLZxzQB6jRRRQAUUUUAFUvEniLRvCHh2/wDFfiO+W10/TLOW7vrllJEUMaF3chQScKCcAE8VdrF+I/i278A/D7XPHNh4O1XxFPo2kXN7DoGhQpJe6k0UTOLa3R2VWlkK7EDMoLMASOtAHzB8LP8Agt3+wX8VPj54Z/Ztg17xt4c8S+NmZfBX/Cb/AA41XRrbXyM4NpNdwIsobHykcNkAHJFfXNfh/H8OPG3xv/4LQfAr9pL9hT4C/tKzR6d4lv7r4vX/AO0V4d1EaJ4f025m3Tx6adXB+zShWmEa2p2qfJCcZr9wKACiiigAooooAKyfHvjvwb8LvBOr/Ej4h+JLTRtB0HTpr/WdWv5hHDZ20SF5JXY9FVVJP0rWr4b/AOC1n7Pf7bP7UHh74afCv9nj4KaZ8RPhtH4r/tX4w+Bbzx5F4dfxJbW2ySz097uSKXFq043zIsbFxEq5XO4AHsf/AAT7/wCCnH7Jn/BTnwV4g+IH7JXijVtV0zwzqqadqs2q6FPYss7x+YoVZgCw29x06V9A1+S3/BtZ4K/bG+GHxi/aj0b45/sX3vw68PeJfjHqmtJqGoak0aW941xJixsoXtoxe2iqx23sREbBBhBuGP1poAKKKKAP/9k=", "info": {"equation": "4*1=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": "4*1=4", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "3b0530d806b29bfdafb505c1571d7165652236ed28419ccfef041df3a00f8049"} +{"episode": 26719, "episode_seed": 3161909163, "split": "train", "timestamp": "2025-10-28T03:45:04.516267", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3161909163, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 0, 7, 1])", "action": "('move', [4, 0, 7, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "95+91=186", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 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+91=186", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "35ca6617c8ba43278a9e44de0b0330853e865f166021b968cdf349c889b48b8e"} +{"episode": 26720, "episode_seed": 3186230763, "split": "train", "timestamp": "2025-10-28T03:45:04.569497", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3186230763, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [1, 4, 7, 0])", "action": "('move', [1, 4, 7, 0])", "reward": 0.0, "image": 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", 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", 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IFZFiaBQpBYMyHrzX6bftWfDv9lz4m/B668O/thWHhifwUl5BPct4tv0tbSK4V8RP5zugjfc20EMCdxXkMQV+PPhXwdB+yl4y8MaPodimjJ8PtQtLWztolEAtRYyIsaBeAmzAAHGOlfN5nw/icVmFbEwxLgnFaK99Faz1Wmn56H6FPxBwk/DfLuHlg+WpQrSn7bTXVv3Xvz++ubVWUYa6+74T/wAE6NI0HwT8evit8Ovg/p1vY+A7PTtDu5NL0m3jTTrHXpRdC6SHZ8qSNax6e8kYwAWRiAXyfr2vnT/gnf8ACD4YfAzw74y+Hvwh8E2Xh/RYdft549PsFbZ5sllCXcliWZjgckngAdABX0XXq8NRcMjoJu+l/vb0+R8HxXjqWYZ7VrU7tWjG8vilywjHmlZu0pWu1eVr25pbv46/4LzeJPix4Y/4Jk+PLv4Sy3sUlw9na+IJtPjzImlSzqlzkjlUZSEcj+B2zwSa/Mr/AIIleNviFqvgH4r+BtY8S3c3hnRfB15caJp8s4MVlczgfaXjHVN4igJ/hymeu7P72eKPDHh7xr4a1Dwd4t0e31HStWspbPUrC7jDxXMEqFJI3U9VZWII9DXyd+0D8CvhD+zj4S074UfA7wDYeG/D1l4C8SS22l6chCK8ktq7uSxLMxY9SSeg6ACvC4tyurUTxyqWjGKTj395fhrf1S+X3fDfHeBwfh3iOFZYVOrWrKoqumiSi358y5OVW05Zy1VrS9U/ZC8d6l470kanZeOn8S6OdLiWLWP7QW6SaVMJkSp8jMdrbsdxyM5r2uq+kokel26xoFHkJwBjsKsV9VleCnl+DVGdRzd27vfV37v8z8qxVeOIrOajyrsjmfjTfeN9L+DnizU/hnbPN4kt/DN/L4fhjhEjPfLbuYFCtwxMgQYPB6V/Ov8A8EkPi38Q/Dv7c91qniP41ap4Uj8QadqR8b65JrMVlNO2GmAlmuAcO10IyR94nPbNf0nV5T8CPhD+xz4G+JXj/wAQ/s8+HvBsHirV9YWT4jP4fu4proXpeVwt0iuxgcu0zbCFySxxnNeZnmTVs0xFGVOt7Plv669VqtdNddj9M4H46wfDHCec5ZVwftni4RipWVoWbXvt30XNzQt9tLvdfC3xw0b4Iavolx8dfht44s/GnxXtPE+h/wDCJeKv7ZttX1casl0iWNlEwJCxuDMGgUBWRppGBKl1/T+vjn48/A74Q69+3dp3xr1n4fadc+K9C1jwra6PrkqMZrSF7wblQZ2jPmPzjPzHBr7Grm4Yws8JVxUJTc2p2u+tlv11d9fQ+Y4izWnjsuwVGLk3CMm3LpzcqVOOr9yChePw6ylaK3ZX84H7d3xQ/aJ0b/gtP4n8X+IfFGp6P4m0f4nR2nhy+lZIHsdLWUR2bRF/kSM2jI4Y8ESFzyxNf0f18b/GX4I/CXW/2+Lb44ax4A0+58W6V4j8OWWm67MjNNb27eXuRRnaM+Y4zjOGIzVcV4eWIwtFRm4/vIrTz0v6rdH1HhVxtguCsdjquJwqrqth500nbRuzs7/YltNb2to7WPNPHumfsj/Hd3X40/HLSviRbaRpl88Ft4p8aWmoRaZbPGPtN1HGhURsI1GZyN0YBKsuST9bfsE698Q/E/7Gnw41/wCKl1qNxrl14Wt3ubrV4RHd3EeD5Msy8YleHy3bIB3MSQDkV5z/AMFH/gX8H/jfJ4L8PfFv4eadr9jYrqt9aWl9G2xLhIoAr4UjdgMwwcg55Br334K/8kc8JcD/AJFmw6D/AKd46wyHA1cFnWJhUqubUYXb6317va1kfNZnm9LEcMUMKuZvncrO3LTUbq1PV/G5c09Iq8Y/Fuumryv9qP4Ufsf/ABRsvC8X7XOieD7uCx8RxP4T/wCEtvYoFOpMDsjhMjr5ruB/qvmD7RlTgY9Ur8Nv+DozxR8XR+1Z4B8M6ndX8Xg218GfbPDihSsDai1zKt26sPvSKiWgPdQVxjdz7WeY+GXZdKtKHOrpWe2r6/1vY9Xwr4UxHGfGdHLqOKeGk4zl7SN+ZcsXpGzV29nqvd5n0sfuL9ktQ24W0ec9dgqSvze/Y7/aWvtc+Cfw+8S/E79tfULvxdqHh+0bVtG1Hx3ZHzbqWPb5bwAB9x3D5c7t2O9ff/wnu9cvfAOn3PiFpGuWRvnmzvZNx2ls8524+tcuVcRYbN8S6NKnJWV7u3dK2jfc+UzfJa2T16lKpOMuSbheLunZtXXk7aHRUUUV9CeKePf8FBPEHxW8KfsR/FLxJ8D3vE8V2Xgq+l0aTTo99xHIIjl4h13qm5lxyCARk4r8nf8Ag1m1v4np+078SND0xLp/CNz4LiuNekEAaJdQS7QWe5zyrmOS9wP4gGJ+7X7fX7FbGZlPIiYj8jXyP/wTA+CXwl+Cd/rNp8J/ANhoMet+DtD1DVhYq2bq6ZroGRyxJJ9ugycAZNfMZpQlLiHBT5mvj09Ff8b2fkfqfDHGuDyfw4zjIqmGU54l03Gemlmvi6+7bmhbaTb06/XtFFFfTn5YFfzt/sceOv2pdT/4LxaR4j19NWl8c3nxWu7XxbFcWgMsdhvkivEZDwkUdoHAxwiIu3oK/okr488JfBP4S6b/AMFF7j472PgHT4/GOo+NrywvfEIRjcS2y6C4EfJ2gYRBkAE7Rk18xxHQdWtg5KTX72K08+vyt+J+p+G/GuD4TwGcUK+GVV4rDyhFu3uvVWd/sPmvJLVuMdOq+w6KKK+nPywK/n7/AODiDxd8dH/4Kfiw1GbVEstF0XSX+HEawHaEaNJHkgAH7xjeiZS2CS0YXoqiv6BK+OP+CinwT+E3xP8Ai7pfjH4g+ArDV9T8KeDXu/Dl5eKzNYTm6J8xACFJyiH5gcFQRXzPFtF1cnbUrWlF+utv1v8AI/UPCPjHB8EcWPMMTh/bRlSqQtpdNpNNX015eV/3ZS32f1R8KrzxfqHwv8N6h8Qbdodfn0Czk1yJ4whS8aBDMpUcKRIWGBwK36KK+liuWKR+Z1ZqrVlNJK7bstlfovJBXn37SOkDU/BFpcHTBcGx1WO4V9pJgOyRN4x7OV54wxr0GiuXH4T69gqmH5uXmTV+xWHq+wrRqWvZ3OX+C3hI+B/hbo3hljLugti7CfG8NI7SEHAGMFyMe1dRRRW1CkqFGNNfZSX3KxnOTnNy7n5G/wDB1R4j+LFr4O+E/hXT5b1PBF7f6jPqoiT/AEeXU40iFsJGH8Qie4KqeuXIzjiT/gnF8d08U/sQ+ENP+Pn7Y1/bXH2K40+Tw7qXjqzt4zpkcrwwQPC3z+WYFVcEhivfkGv09+Ov7PvwX/aa8ASfC749fDvT/E+gS3UVy2m6kjFBNGSUkUqQysMkZBHDEdCRXSaN4a8PeHtHtPD+haJa2ljYW0dvZWlvAqRwRIoVEVQMBVUAADoBXy2P4bxeMzKpiYYl01JJWV76K1t1p1+bP1TE+IeXV/DTA8MrBL2tCrObqaWafM1bRvmfNaV9LQjvtHz39mDwuNK0DV/FAaT/AInmoRzLuxsKxwRxBk45B29efavT6AABgCivosvwawGCp4dO/KrX7n5fiKzxFeVS1rhXjX7VXgV/G11punDS3Y32nXemLeQKTIi3GwOg6gfcVhkfwnsDXstFZ5pgFmeClh3LlTtr6NP9CsLiHha6qJXtf8hltCLe3jt1JIRAoJ9hin0UV6BznM/Gm+8b6X8HPFmp/DO2ebxJb+Gb+Xw/DHCJGe+W3cwKFbhiZAgweD0r+dv/AIJG/Gf4neGf23L6XxB8ddZ8JWfiSy1CXx5qr67HZPdSqskqGeS44Mn2lh/t5dh0LV/SVXBfC39lz9nr4J+MvFPxC+FPwk0bQta8bXwvPFOo2NtiTUZ98j73ySB80sjYXAJcnGa+dzvJcRmtejOlWdPkvte+vVWa16b7H6hwTx9l/CvCub5VXwiqyxkIxjLS0Wrp819bK/NG200u918+fASPwb8WfGto3hb4uyeNJ7fXbG91TVl1+DUZ4xbSrNFHI8Xyon7sgAgE7mwcnj7ApscMMOfKiVc9dq4p1dWTZVLKqU4yquo5O7b9Eu7/ADPzvGYtYucWo8qStYK/MT9o74xa94T8E/GPxD4i+K17oXj61+NhtNNkmuYILqzC6jbppMcKS/KsL6ckMocjBRppCeGI/TuuD1b9l/8AZ91348af+09rHwm0e48faXppsNP8USW+bmG3IkUoDnGdssi7iNwVyM44rPPcprZtRpwp1ORxknf+uq6HucMZxlmUVaksbS9omk0kou8ou6hLm2pz2na7WjtK1n8seFvGPw9+IPikaPo37SkvjrVHtZodPsLjxhbajLCj4EjRRQgNkgLk4PAFfaHgvQU8K+DtJ8Lxu7LpumQWqtIQWIjjVMnHGeO1aCW1vG26O3RT6qgFPqcnyWpldWpUqVnUlO2r8r+bvueNjMbHFQjGMFFRvt5/JBXCfHH9mP4A/tLW+i2nx5+FOkeKY/DuqLqOipqsBcWtyBjeuCMgjGVOVbAyDgV3dFe3OEKkXGaTXZ6nPhcVisFXVfD1HCa2lFuLXTRqzWmhH9ktQ24W0ec9dgqSiirMAooooAivVkezlSGNXcxMERjwxxwD7V5B+y14ATw5qer65HYTWiLp9ppUNqykJGlu0zBRkZyPN2nnsO9eyUV5+IwCxGPo4lyt7Pm078yt+B0U8Q6eHnSt8VtfR3CiiivQOcK8X0v4fm6/adOtnTJLYWGpzaozQqdkzPZvahmJznKydscp7EV7RRXn47ALHToycrezmp+tr6HRQxDoKaSvzJr7wooor0DnCvFv2mPh4PHPi7TtMGmSA6rpx09r23U+ZsMhLLk5UbQdwyO5J4Fe00V5+Z4BZlhHQcuVXTv6NM6MLiHhqvtEr7/igooor0DnCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArx/wDbN/bq/Zy/YI+H2n/En9o7xRfWNjq2qGw0y10jRrjULu5lWGSeVkgt0aQpFBDLNI+NqJGzEivYK+B/+C3Hhz4l6B4i+Df7R/g/4LeK/HukeD18a6Nrmh+C9Ek1K+SbW/DN3p9lN9njyxi+0lInfpGs+48A0AfdPhXxR4e8ceF9N8a+EdYg1HSdYsIb3S9QtX3RXNvKgkjlQ91ZGVgfQ1fryL/gn/8ACbxn8Bv2Fvg58E/iLHs1/wAJ/DDQtJ1uLeG8q7t7CGKWPI4IV1Zc99teu0AFcz8Zvi94G+AXwq1/4z/Eu/uLbQfDemyX2pzWljLcyiJBkiOKJWeRycBVUEkkAV01ch8fviBpXwr+Cfin4h63omtala6TolxPPYeHNGm1G+nAQjbBbQK0kznPCKCTQBF+zt8fPhz+1J8DvC/7Q/wivrq58M+L9Ii1LRJ72ze3leCT7peN/mQ8dDzXaV8i/wDBCnXtSvf+CWvwo8G+IPh94t8Max4P8Px6Drmk+MvC91pN0l3Aqs5SK5RGki/eDbKBtYhgDkHH11QAUkkiRRtLIwCqCWJ7ClpJHEcbSMCQoJIAyTQB4l+yV/wUK/Zj/bX8R+LfB3wM8Raw+reCpbb+29L8QeG7zS7j7PchzbXkUd1GjTW0wjkMcygq2047Z9ur4C/4JD/FnUP2nv2oPj3+1h8V/hB8RvB3jnxVeWOl6ZoPjH4e6hpFppHhXTpbmHTbeK5uYkju7mZpLi7n8skIbhEHCZP37QAUUUUAeI3X/BQr9mjT/wBsey/YW1LWddtfHepxTHS2uvC95Hpd9PDareS2kN+0Yt5bhLdllaJXLKp5weK9ur89vjPp3in4m/8ABdH4O+Kfhd8H/i5He+AbfWrL4h614l0q4/4QyPQptIcwXemyyFrcXsl3LDCXg2zFY5EkG1RX6E0AFFFFAHln7WH7ZfwC/Yq8J+HfGX7QHiqXTLTxX4xsPC+gpbWb3Et3qV45WGJUQE4+VmZuiqpJr1Ovy+/4OD/gl+2x8SfE3gL4gfAv9l5fib4U8Jy6M1nDaeJha3Wla5J4n0uV7j7KsEslwrW1oluZhtW2iubmVtyqy1+nenTXtxp8E+o2a29w8KtPbrLvETkAsobA3YORnAzigCaiiigDzT9rD9q74V/safCgfGL4vW2vXGmya1ZaTa2XhjQJ9Uv7u8u5hDBDDbW6tJK7uwUBQTzXU/CT4l6P8ZPhponxT8P6Jrem2Wu6el3bWHiTRptOv4EYcJPbTqskDjujgEV4V/wVh8IfCHxl+yh9k+OPg74u6x4fsfFemajIfgfa3EviGxuLeUy291CLb9+qpMseXh+dSVPChiNT/glMv7Saf8E7/hOv7XjayfiF/wAIwv8Abx8SNnUtvnSfZvtZ6/afs3kebnnzN+ec0AfQdFFFAFbWdY0rw9pF34g13UIbSxsbaS4vLu4kCxwxIpZ3ZjwFCgknsBXl37IP7bHwH/bk8CX3xJ/Z/v8AW7nSLK/Futzrfhq7037WjRrJFdW4uY0M9tKjBo5kyjjODwRV39tb4a+L/jP+xv8AFn4P/D4j+3vFXw013SNEy+0G7udPnhhGT0+d15r4/wD+Dejw1+0P4R+C3jfw98TdN+LNj4Lsbjw9aeCtO+MqzrqlrfRaHax63HAtx+8SwXUFdYFH7oKreX8mKAP0NooooAK+fPhH/wAFLv2efjJ+1lqn7FmieGviDpHjjTLHUb7yvFPw+1DTLO9tbK5S2nuLa5uI1juIvMkQLJGSrhgQTkV9B18ofs5+B/GfxG/4KofHz9pvxp4T1Sw0nwn4X8P/AA3+H91qWnywJewKj6tqlzbmRQJYmubu3h8xMqWsyM5U0AfV9FFFABXgXxq/4KYfskfs/ftQ+Gf2QfiX4z1O28Y+KH09LVbXw/dXFjZPfzyW9gl3dxoYrVrmaKSOISMC7KQK99r8oP8AgpH8G/jj4q/4LNfD/wAb+HfgT461eaPUPh23gHWdA0KSbwzLa2mtX82vvrsqjyvNtrWWOW0M53Ru+6H5iaAP1fooooA//9k=", "info": {"equation": "75+96=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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", 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", 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IFZFiaBQpBYMyHrzX6bftWfDv9lz4m/B668O/thWHhifwUl5BPct4tv0tbSK4V8RP5zugjfc20EMCdxXkMQV+PPhXwdB+yl4y8MaPodimjJ8PtQtLWztolEAtRYyIsaBeAmzAAHGOlfN5nw/icVmFbEwxLgnFaK99Faz1Wmn56H6FPxBwk/DfLuHlg+WpQrSn7bTXVv3Xvz++ubVWUYa6+74T/wAE6NI0HwT8evit8Ovg/p1vY+A7PTtDu5NL0m3jTTrHXpRdC6SHZ8qSNax6e8kYwAWRiAXyfr2vnT/gnf8ACD4YfAzw74y+Hvwh8E2Xh/RYdft549PsFbZ5sllCXcliWZjgckngAdABX0XXq8NRcMjoJu+l/vb0+R8HxXjqWYZ7VrU7tWjG8vilywjHmlZu0pWu1eVr25pbv46/4LzeJPix4Y/4Jk+PLv4Sy3sUlw9na+IJtPjzImlSzqlzkjlUZSEcj+B2zwSa/Mr/AIIleNviFqvgH4r+BtY8S3c3hnRfB15caJp8s4MVlczgfaXjHVN4igJ/hymeu7P72eKPDHh7xr4a1Dwd4t0e31HStWspbPUrC7jDxXMEqFJI3U9VZWII9DXyd+0D8CvhD+zj4S074UfA7wDYeG/D1l4C8SS22l6chCK8ktq7uSxLMxY9SSeg6ACvC4tyurUTxyqWjGKTj395fhrf1S+X3fDfHeBwfh3iOFZYVOrWrKoqumiSi358y5OVW05Zy1VrS9U/ZC8d6l470kanZeOn8S6OdLiWLWP7QW6SaVMJkSp8jMdrbsdxyM5r2uq+kokel26xoFHkJwBjsKsV9VleCnl+DVGdRzd27vfV37v8z8qxVeOIrOajyrsjmfjTfeN9L+DnizU/hnbPN4kt/DN/L4fhjhEjPfLbuYFCtwxMgQYPB6V/Ov8A8EkPi38Q/Dv7c91qniP41ap4Uj8QadqR8b65JrMVlNO2GmAlmuAcO10IyR94nPbNf0nV5T8CPhD+xz4G+JXj/wAQ/s8+HvBsHirV9YWT4jP4fu4proXpeVwt0iuxgcu0zbCFySxxnNeZnmTVs0xFGVOt7Plv669VqtdNddj9M4H46wfDHCec5ZVwftni4RipWVoWbXvt30XNzQt9tLvdfC3xw0b4Iavolx8dfht44s/GnxXtPE+h/wDCJeKv7ZttX1casl0iWNlEwJCxuDMGgUBWRppGBKl1/T+vjn48/A74Q69+3dp3xr1n4fadc+K9C1jwra6PrkqMZrSF7wblQZ2jPmPzjPzHBr7Grm4Yws8JVxUJTc2p2u+tlv11d9fQ+Y4izWnjsuwVGLk3CMm3LpzcqVOOr9yChePw6ylaK3ZX84H7d3xQ/aJ0b/gtP4n8X+IfFGp6P4m0f4nR2nhy+lZIHsdLWUR2bRF/kSM2jI4Y8ESFzyxNf0f18b/GX4I/CXW/2+Lb44ax4A0+58W6V4j8OWWm67MjNNb27eXuRRnaM+Y4zjOGIzVcV4eWIwtFRm4/vIrTz0v6rdH1HhVxtguCsdjquJwqrqth500nbRuzs7/YltNb2to7WPNPHumfsj/Hd3X40/HLSviRbaRpl88Ft4p8aWmoRaZbPGPtN1HGhURsI1GZyN0YBKsuST9bfsE698Q/E/7Gnw41/wCKl1qNxrl14Wt3ubrV4RHd3EeD5Msy8YleHy3bIB3MSQDkV5z/AMFH/gX8H/jfJ4L8PfFv4eadr9jYrqt9aWl9G2xLhIoAr4UjdgMwwcg55Br334K/8kc8JcD/AJFmw6D/AKd46wyHA1cFnWJhUqubUYXb6317va1kfNZnm9LEcMUMKuZvncrO3LTUbq1PV/G5c09Iq8Y/Fuumryv9qP4Ufsf/ABRsvC8X7XOieD7uCx8RxP4T/wCEtvYoFOpMDsjhMjr5ruB/qvmD7RlTgY9Ur8Nv+DozxR8XR+1Z4B8M6ndX8Xg218GfbPDihSsDai1zKt26sPvSKiWgPdQVxjdz7WeY+GXZdKtKHOrpWe2r6/1vY9Xwr4UxHGfGdHLqOKeGk4zl7SN+ZcsXpGzV29nqvd5n0sfuL9ktQ24W0ec9dgqSvze/Y7/aWvtc+Cfw+8S/E79tfULvxdqHh+0bVtG1Hx3ZHzbqWPb5bwAB9x3D5c7t2O9ff/wnu9cvfAOn3PiFpGuWRvnmzvZNx2ls8524+tcuVcRYbN8S6NKnJWV7u3dK2jfc+UzfJa2T16lKpOMuSbheLunZtXXk7aHRUUUV9CeKePf8FBPEHxW8KfsR/FLxJ8D3vE8V2Xgq+l0aTTo99xHIIjl4h13qm5lxyCARk4r8nf8Ag1m1v4np+078SND0xLp/CNz4LiuNekEAaJdQS7QWe5zyrmOS9wP4gGJ+7X7fX7FbGZlPIiYj8jXyP/wTA+CXwl+Cd/rNp8J/ANhoMet+DtD1DVhYq2bq6ZroGRyxJJ9ugycAZNfMZpQlLiHBT5mvj09Ff8b2fkfqfDHGuDyfw4zjIqmGU54l03Gemlmvi6+7bmhbaTb06/XtFFFfTn5YFfzt/sceOv2pdT/4LxaR4j19NWl8c3nxWu7XxbFcWgMsdhvkivEZDwkUdoHAxwiIu3oK/okr488JfBP4S6b/AMFF7j472PgHT4/GOo+NrywvfEIRjcS2y6C4EfJ2gYRBkAE7Rk18xxHQdWtg5KTX72K08+vyt+J+p+G/GuD4TwGcUK+GVV4rDyhFu3uvVWd/sPmvJLVuMdOq+w6KKK+nPywK/n7/AODiDxd8dH/4Kfiw1GbVEstF0XSX+HEawHaEaNJHkgAH7xjeiZS2CS0YXoqiv6BK+OP+CinwT+E3xP8Ai7pfjH4g+ArDV9T8KeDXu/Dl5eKzNYTm6J8xACFJyiH5gcFQRXzPFtF1cnbUrWlF+utv1v8AI/UPCPjHB8EcWPMMTh/bRlSqQtpdNpNNX015eV/3ZS32f1R8KrzxfqHwv8N6h8Qbdodfn0Czk1yJ4whS8aBDMpUcKRIWGBwK36KK+liuWKR+Z1ZqrVlNJK7bstlfovJBXn37SOkDU/BFpcHTBcGx1WO4V9pJgOyRN4x7OV54wxr0GiuXH4T69gqmH5uXmTV+xWHq+wrRqWvZ3OX+C3hI+B/hbo3hljLugti7CfG8NI7SEHAGMFyMe1dRRRW1CkqFGNNfZSX3KxnOTnNy7n5G/wDB1R4j+LFr4O+E/hXT5b1PBF7f6jPqoiT/AEeXU40iFsJGH8Qie4KqeuXIzjiT/gnF8d08U/sQ+ENP+Pn7Y1/bXH2K40+Tw7qXjqzt4zpkcrwwQPC3z+WYFVcEhivfkGv09+Ov7PvwX/aa8ASfC749fDvT/E+gS3UVy2m6kjFBNGSUkUqQysMkZBHDEdCRXSaN4a8PeHtHtPD+haJa2ljYW0dvZWlvAqRwRIoVEVQMBVUAADoBXy2P4bxeMzKpiYYl01JJWV76K1t1p1+bP1TE+IeXV/DTA8MrBL2tCrObqaWafM1bRvmfNaV9LQjvtHz39mDwuNK0DV/FAaT/AInmoRzLuxsKxwRxBk45B29efavT6AABgCivosvwawGCp4dO/KrX7n5fiKzxFeVS1rhXjX7VXgV/G11punDS3Y32nXemLeQKTIi3GwOg6gfcVhkfwnsDXstFZ5pgFmeClh3LlTtr6NP9CsLiHha6qJXtf8hltCLe3jt1JIRAoJ9hin0UV6BznM/Gm+8b6X8HPFmp/DO2ebxJb+Gb+Xw/DHCJGe+W3cwKFbhiZAgweD0r+dv/AIJG/Gf4neGf23L6XxB8ddZ8JWfiSy1CXx5qr67HZPdSqskqGeS44Mn2lh/t5dh0LV/SVXBfC39lz9nr4J+MvFPxC+FPwk0bQta8bXwvPFOo2NtiTUZ98j73ySB80sjYXAJcnGa+dzvJcRmtejOlWdPkvte+vVWa16b7H6hwTx9l/CvCub5VXwiqyxkIxjLS0Wrp819bK/NG200u918+fASPwb8WfGto3hb4uyeNJ7fXbG91TVl1+DUZ4xbSrNFHI8Xyon7sgAgE7mwcnj7ApscMMOfKiVc9dq4p1dWTZVLKqU4yquo5O7b9Eu7/ADPzvGYtYucWo8qStYK/MT9o74xa94T8E/GPxD4i+K17oXj61+NhtNNkmuYILqzC6jbppMcKS/KsL6ckMocjBRppCeGI/TuuD1b9l/8AZ91348af+09rHwm0e48faXppsNP8USW+bmG3IkUoDnGdssi7iNwVyM44rPPcprZtRpwp1ORxknf+uq6HucMZxlmUVaksbS9omk0kou8ou6hLm2pz2na7WjtK1n8seFvGPw9+IPikaPo37SkvjrVHtZodPsLjxhbajLCj4EjRRQgNkgLk4PAFfaHgvQU8K+DtJ8Lxu7LpumQWqtIQWIjjVMnHGeO1aCW1vG26O3RT6qgFPqcnyWpldWpUqVnUlO2r8r+bvueNjMbHFQjGMFFRvt5/JBXCfHH9mP4A/tLW+i2nx5+FOkeKY/DuqLqOipqsBcWtyBjeuCMgjGVOVbAyDgV3dFe3OEKkXGaTXZ6nPhcVisFXVfD1HCa2lFuLXTRqzWmhH9ktQ24W0ec9dgqSiirMAooooAivVkezlSGNXcxMERjwxxwD7V5B+y14ATw5qer65HYTWiLp9ppUNqykJGlu0zBRkZyPN2nnsO9eyUV5+IwCxGPo4lyt7Pm078yt+B0U8Q6eHnSt8VtfR3CiiivQOcK8X0v4fm6/adOtnTJLYWGpzaozQqdkzPZvahmJznKydscp7EV7RRXn47ALHToycrezmp+tr6HRQxDoKaSvzJr7wooor0DnCvFv2mPh4PHPi7TtMGmSA6rpx09r23U+ZsMhLLk5UbQdwyO5J4Fe00V5+Z4BZlhHQcuVXTv6NM6MLiHhqvtEr7/igooor0DnCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArx/wDbN/bq/Zy/YI+H2n/En9o7xRfWNjq2qGw0y10jRrjULu5lWGSeVkgt0aQpFBDLNI+NqJGzEivYK+B/+C3Hhz4l6B4i+Df7R/g/4LeK/HukeD18a6Nrmh+C9Ek1K+SbW/DN3p9lN9njyxi+0lInfpGs+48A0AfdPhXxR4e8ceF9N8a+EdYg1HSdYsIb3S9QtX3RXNvKgkjlQ91ZGVgfQ1fryL/gn/8ACbxn8Bv2Fvg58E/iLHs1/wAJ/DDQtJ1uLeG8q7t7CGKWPI4IV1Zc99teu0AFcz8Zvi94G+AXwq1/4z/Eu/uLbQfDemyX2pzWljLcyiJBkiOKJWeRycBVUEkkAV01ch8fviBpXwr+Cfin4h63omtala6TolxPPYeHNGm1G+nAQjbBbQK0kznPCKCTQBF+zt8fPhz+1J8DvC/7Q/wivrq58M+L9Ii1LRJ72ze3leCT7peN/mQ8dDzXaV8i/wDBCnXtSvf+CWvwo8G+IPh94t8Max4P8Px6Drmk+MvC91pN0l3Aqs5SK5RGki/eDbKBtYhgDkHH11QAUkkiRRtLIwCqCWJ7ClpJHEcbSMCQoJIAyTQB4l+yV/wUK/Zj/bX8R+LfB3wM8Raw+reCpbb+29L8QeG7zS7j7PchzbXkUd1GjTW0wjkMcygq2047Z9ur4C/4JD/FnUP2nv2oPj3+1h8V/hB8RvB3jnxVeWOl6ZoPjH4e6hpFppHhXTpbmHTbeK5uYkju7mZpLi7n8skIbhEHCZP37QAUUUUAeI3X/BQr9mjT/wBsey/YW1LWddtfHepxTHS2uvC95Hpd9PDareS2kN+0Yt5bhLdllaJXLKp5weK9ur89vjPp3in4m/8ABdH4O+Kfhd8H/i5He+AbfWrL4h614l0q4/4QyPQptIcwXemyyFrcXsl3LDCXg2zFY5EkG1RX6E0AFFFFAHln7WH7ZfwC/Yq8J+HfGX7QHiqXTLTxX4xsPC+gpbWb3Et3qV45WGJUQE4+VmZuiqpJr1Ovy+/4OD/gl+2x8SfE3gL4gfAv9l5fib4U8Jy6M1nDaeJha3Wla5J4n0uV7j7KsEslwrW1oluZhtW2iubmVtyqy1+nenTXtxp8E+o2a29w8KtPbrLvETkAsobA3YORnAzigCaiiigDzT9rD9q74V/safCgfGL4vW2vXGmya1ZaTa2XhjQJ9Uv7u8u5hDBDDbW6tJK7uwUBQTzXU/CT4l6P8ZPhponxT8P6Jrem2Wu6el3bWHiTRptOv4EYcJPbTqskDjujgEV4V/wVh8IfCHxl+yh9k+OPg74u6x4fsfFemajIfgfa3EviGxuLeUy291CLb9+qpMseXh+dSVPChiNT/glMv7Saf8E7/hOv7XjayfiF/wAIwv8Abx8SNnUtvnSfZvtZ6/afs3kebnnzN+ec0AfQdFFFAFbWdY0rw9pF34g13UIbSxsbaS4vLu4kCxwxIpZ3ZjwFCgknsBXl37IP7bHwH/bk8CX3xJ/Z/v8AW7nSLK/Futzrfhq7037WjRrJFdW4uY0M9tKjBo5kyjjODwRV39tb4a+L/jP+xv8AFn4P/D4j+3vFXw013SNEy+0G7udPnhhGT0+d15r4/wD+Dejw1+0P4R+C3jfw98TdN+LNj4Lsbjw9aeCtO+MqzrqlrfRaHax63HAtx+8SwXUFdYFH7oKreX8mKAP0NooooAK+fPhH/wAFLv2efjJ+1lqn7FmieGviDpHjjTLHUb7yvFPw+1DTLO9tbK5S2nuLa5uI1juIvMkQLJGSrhgQTkV9B18ofs5+B/GfxG/4KofHz9pvxp4T1Sw0nwn4X8P/AA3+H91qWnywJewKj6tqlzbmRQJYmubu3h8xMqWsyM5U0AfV9FFFABXgXxq/4KYfskfs/ftQ+Gf2QfiX4z1O28Y+KH09LVbXw/dXFjZPfzyW9gl3dxoYrVrmaKSOISMC7KQK99r8oP8AgpH8G/jj4q/4LNfD/wAb+HfgT461eaPUPh23gHWdA0KSbwzLa2mtX82vvrsqjyvNtrWWOW0M53Ru+6H5iaAP1fooooA//9k=", "info": {"equation": "75+96=171", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "feeb096fb3c5b60725705c73b2b2262135967401ba76135c6b2d9ef2a5907a8b"} +{"episode": 26721, "episode_seed": 2387664527, "split": "train", "timestamp": "2025-10-28T03:45:04.616271", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2387664527, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 0, 7, 6])", "action": "('move', [4, 0, 7, 6])", "reward": 0.0, "image": 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", "info": {"equation": "104/13=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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ws8HQS38fw/uY7y6uFijxbTauhCoJGHV1gZiins8hGecfUv8Awbxa18VdZ/4Jn+Hk+JsFytrZa/qFt4Re5txGZNJV0KFSOXQTtcqGPZcdAK9e/wCCjHwk+G3xu+HHg74efFnwfa67ol147SSfTrwuEd00zUWQ5RlIIYA8Gus/Yh8P6J4U/Zm0Dwv4Z0qCw07TbzVLWwsrWMLHBDHqV0qRqB0AUAD6UYbDuHF9afM9aadvmlb00ufVZpx5gcd4Q4PhqOEUalKs5OppZr3ndded83LK+ll1vaPrFeHf8FKvE3xi8G/sG/FPxP8AAJ75PFll4Tnk0yXTIt9zCuVE0kQ671hMrAj5gVBHIFe40EBgVYAgjkGvqK9N1qMqadrpq63V1v8AI/L8rxkcuzOhi5U1UVOcZOMtpcsk+V+TtZ+TP5sP+CL3xP8AE/gP9rG40+H4zXngvw/q3h+5/wCEl1K21mCxEoiUtbq00wIz5zLgDk5PbNfop8f/AAp+x58T/hz42+JvxD+J+m+N9a07wsVTxVqHiO21TU9HEe97NbQqf3D/AGkgxoigyyttO/dtr73+Bf7Jn7Nv7M39t/8AChPg3onhb/hI74Xet/2XbbftUo3bSck4Vd77UGFXccAZNfMv/BRL9n/4KfEv43ah8QPH3w00zVtZ8LfDa0n8PX93Gxaxk+06m+5QCFJ3IjDcDgqCK/M8y4cxeW5VzTxDaTXuq/Lq7X3+ex+18SeJmWcX+IKzjD0Z4eHJFXjy+0nyK/vWaWrtG95Wiovlk1yn1f8As+6l8Q9Y+AngjV/i5ayQeLLrwhps3ieGaARPHqLWsbXKsi8IRKXBUcDpXX0UV+nwjyQUb3sfhmIqqviJ1VFR5m3ZbK7vZeS2QV4P+2f8WJvCmgHStHsze3lv5YtNPVlBvdQndYbO2BZlGXlkRcEj74OeK9o8VeJdO8I6FPr+qMfKgUfKv3nYnAUe5Jr5y+FWgah8bv2pV8R67bs+k+BYv7WuWcLsuNZukeO2TaYzuEFuZ5CVZcNPAcEjj5vP6rxVSlllN+9Vd5eUFq387aejO3L4KlGWKktI7ecj2n9nv4R2vwQ+EekfD5LhLm9hia41rUFgEZvtQmYy3NwwBOC8ru2MnAIGcAV2lFFfR06cKVNQgrJKy+R5spOcnJ7sKKKKsR8m/wDBb7xP8YvCX/BNH4jar8FJb+LUGtbeDVp9Nj3SxaXJOiXjZHKr5JcMw5VCx4AJH5+f8Gr+tfFaP48/Ezw7psF03geXwnBcaxILYGFNUW5RbQGTqrmF7zCj7wUk/dFfsD+0hBDc/s7+Pba4jDxyeC9UV0YcMDaSgg14X/wTj+Bfwg+AHifxt4R+DHw+0/w7ptzo2h3dza2CtiWdpNSUyMzszMcKo5PAHFfJ5hh5PirCT5nrGWn+FN/jfU/XuH+O8DlfhTmfDs8IpVK9SMlU0sk+X4ut4ct4W6ye1tfqiiiivrD8hP5h/wBpH4x/tU6D/wAFQvFPxO8QeL9a0b4k6d8RZ4LW/eRbeeyRZTBBGm75EiFuURQfkMZ5ypJP65eIbj9nP456jpfhP4k/tGWvxHht9UW50rwv4j8bWeo2st4qsscn2VcCd1DPtVgwGSduQCPqbVPg3+xJefte2XxT1fw94Ib41Jo+bGea+hGsmzEbxeatuX3Moj8xPN2EhQV3YGBzv/BRH4S/DX4w/Cjw38Pfid4Ns9Z0W+8bW5u9OuQwSXZaXbrkoVYYZVPBHSvznG8N4rDYPE1vrT5fek4q9n197Xfvoz934x8S8BxZisnhSwcsL9XpRg5xS5tbJ+zV43hGz5E5RvzSWm75z/gk5HDpvwV8Z+FfBu4/D/Rvidqlp8NHjiUW39mbIJJktpFz51umoPfxo+TkJjJCivqWvIv2F/CvhzwN+zXpXgzwfotvpuk6VrGs2unafaJtjt4U1S6VEUegA+vrXrtfaZNB08poK9/cj+KufkXEWOhmWeYjEwVlKT33dtOaXeUrc0n1k2wrx79mT4MfsQfDXxJ41vv2UPDnge21TUNYx46/4RW9hnkjvFeU+VcKjt5DKzS4iwoB3YUYqf8Aby8QfFzwr+xl8TfEnwHF5/wl9l4MvptBbTofMuEnERO6Je7qNxXAJyBgE4FfgB/wR2+L3j3wL+2BHp9n8b9T8H6Br+mXZ8Y6jBrsVktwkcMkkBklnypb7QUwfvfOwHDNXl53ntDKcZRjUpc103fS66e7599VofonBHh9jeJ+Bs4zWljvYxw6jend2qcvv+/Z7f8APvR3n2tc/pWjt4IjuihRT6qoFPr5D+CHxjHiDWxoHw6/aPufG94tzHO1u/im31GSJfuciDBWM55yMd6+vBnHNduUZ1RzhTdOEoqNt+t/6/I/LsZgp4NxUmnfsFfnV/wcw+J/jFoH7B+mad8PZb+Lw9qvjC3tvG8tlHlTaeW7wpMw5WNrhYvYsEUnkA/orXkX7dfhLw348/Zd8Q+CvGOjxahpWq3mlWuo2M+dk8L6naq6HBBwQSOCDW+c0nWyqvBO3uv8Ff8AHY9zgjPKPDfF2CzOtSVWNKpGTi+qv0vpzLeP95I/H7/ghn8Zta8PfC3xt4N8ZftOX/grw7Z6xaz6DYQ+KbTTkluZY5PtTgSgs52x22T90duSa+p9W8GfA3wx8SPhr8Xv2c77TdY+Jep/GKx+x+KdMvYdT1TWhczomtLcTgsZYl057h5P4YFRCojzz9a/8E9PhT8N/hD8NvFfw9+GXguw0XRNP8at9j06ziwke/TdPdjliSSWZiSSTk15F4A+AfwZ0T9vCP49aT8ONNg8Zaj8UtWtL3xCqMbiSAWV6uzltqjbGgJUAkLyeTn89hlVenhsDXlXk1OcEo62jfXTV7eiP0POeOsDm/GmZ5rToyowmpNQja1S0VFRq6pcs9ZVLc922kteZfb9FFFfqh+JhWF8UNHXxD8ONd0CTTEvUvtJnt5bRwcTI8ZVl45OVJHFbtFZ1qftaUoXtdNX9SoS5JqXY8m/Zg8GyaVLr3jaYTq2rfZbYLIuFK2/nHcvGeszAnp8vbBr1miiuXLcEsuwMMMpX5VvtfW5ria7xNeVRq1wr8nvHHxt8T+Hf2NNT8a+Jvi7f6N8VpfiWY9VuLm6t4dQtfEP9tKj2nlyZWKOO3VVUYwtqiSA7fnP6w152n7Jn7N0f7QMn7VKfBvRB8Q5bL7LJ4r+zf6U0XlCLrnbu8sCPfjds+XOOK87PsnrZvGkqdTk5JX/AOCvNdPV6n03C+d5VlEaqxtH2ibhONlF3lT5v3cr7U6nN77V37q919PlvQviT8MfFfiux0+P9q9/GV3Hcu+kaRqHji0vf3xjdPMjijwzSCN5F74V247j65+BHg5vAfwr0zw6/nBt9zdOs4AdWuLiS4KkADGDKQB1AHPNdWtraowZLaMEdCEFSVGU5FUy3FyxFWu6kpLl1XS9922eHi8fHE0VTjBRSd9P+GQUUUV9EecFeE/tMfDZvHnjgaP/AGVIja9oiaW99bKTI8W+bjJyoKedIw443EnivdqK83NcuWaYT2Dlyq6f3O9jpwmJeFq86V9Ggooor0jmMrxr4Ts/G3hyfw9ezNEJcMkyjJjcHIOD1+noab4H8IWXgfw5D4fspmlEZLSTMuDI5OScDp6AegHXrWvRXN9Uw31r6zy+/blv5XvY09tU9l7K/u3vbzCiiiukzCiiigDH+IWlLrvgLWtDk05LxL3SriCS0kztmV42VkOOeQSOPWvOv2XvBj6Vf6/4zlinjOoW9lYqki4XbbNctkcZzm4YHnHygcEGvXaK82vlyrZnSxjl/DUlbvzaf18jphiXDCzo2+JrX0CiiivSOY/mH/aR+Mf7VOg/8FQvFPxO8QeL9a0b4k6d8RZ4LW/eRbeeyRZTBBGm75EiFuURQfkMZ5ypJP7GaP8AEv4X+KfE2n6fL+1q/i66S7LaXo+oeOrO8DXBRkDpFHhmcKzgYzwx4r6ov/2TP2btT/aAt/2qNQ+DmizfEK1s/stv4qe3JuUi8tovXaW8tmTeRu2nbnAAr0BbW1RgyW0YI6EIK+F/1QxknVTxbSm27JN3T/m1V33P2XxB8T8s4xo5bHDYBUnhqKg3otdPdjZP93G3uXs1zS0XXkfgD4QbwT8LLHRnEweW6vL2RZxhla5upbgrjAwAZcAHnAGea7Kiivs8NQWGw0KKd1FJfcrH47Vm6tSU31bf3hXnXwU/ZJ/Zr/Zy1jxDr/wO+DOieGrzxXeC68QT6bbbTeSBnYZySFUNI5CLhRuOAK9ForSVOnKSlJJtbPt6djWljMXQoVKNOpKMKluaKbSlZ3XMlo7PVXvZ6oZHbwRHdFCin1VQKfRRVnOFfMX/AAUo8S6/oA+E1re63dab4MvfiREnjC7iISAslpPLp8VzISPLhe+S3HJAZxGpPzAH6drD+JXw18B/GLwHqvww+J/hW01vw/rdm1rqulX8e6K4ibqpHUHIBBGCCAQQQDXFmWFnjsDUoRlyuStf+unfyPVyTHYfLs0p168OaCumtG7Si43jfTmjfmjfTmSPzs8M/HzRrX9qT4p+E2/a6vfDGgaami+XYWniyysIE1dreVL1FLgtIyxQ2QcEnY5ZeCCB9Dfsw6H4R+IHi/Q/Efgzxv8A8JFaaPrFzqN1rdtqkV79pumgnifzpkypc/aCSBg8DtXv3wf+B3wj+AHw9sPhR8GvAGneHvDumeZ9h0qwhxHEXdpHPzZLFnZmJJJJNdTHHHEu2KNVHooxXzGD4UxFCpRnVxLkqbUuWztddFd6ettj1M4zzA4rE1PqdDlg4qKbspNRio80krpSlbmklJ2b3e7dRRRX2h8sFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXIfHz47/Cv9mL4N+Ifj78bfFUWieFfC2nNe6zqUqM/lRggAKqgs7sxVFRQSzMoAJNdfXyb/wAFvfgr8T/jz/wTZ8ceDvg94SvPEOuafqeha9F4d06PfcapBpusWd9PbRJ/HI0NvJtTqzBVHJoA9k/ZL/a8+B/7a/woPxh+A2u3t1psGrXOl6nZatpU1hfaZf27BZrW6tp1WSCVcqSjAHDqehFenV8Xf8EbfC3j/UIP2gv2l/Ffw18SeD9H+Mfx71HxN4N0DxdpEmn6iNMFjZWiXM9rJh7d5ZLaRtjgNtCk9RX2jQAUUUUAeN/tlft4/s5/sG+F9A8W/tE6/qdla+Jddi0nSV0rQ7i+d7iRlUFxCjCKMF0BdyFy6jkkCvZK+GP+DhHxZqVr/wAE/wC5+Gvhr4WeOvFeteJ/F+gtptj4I8F3usPGtlq9lezvMLWNzCvkwSFWbAZgFHJr7K+GPxA0r4r/AA50P4m6FpWrWFl4g0qDULSy17SpbG9gjljDqk9vMFkglAOGjcBlIIIBFAG7RRRQAV4F8Sv+Cl/7Jvwi/as0L9jn4heKda07xZ4i1G203Tb2bwte/wBkNqNzCZrewbUfK+zC6kjAZYt+7BGcZr32vzj/AG7vjXf/ABq/4KufCH9lH4p/BX4pW/wr+GHiTSfFy+IfD3wy1PUrHxN4ukOzTYXvYIWhtLGyE5nnlduZMI21Y2agD9HKKKKACiiigDwL9nb/AIKWfsq/tQfH7xF+zN8Mdd8QxeLvDmmPqb2PiHwjfaYmpaelybVr2ykuYkW7txMNnmx5UkjGRzXvtfmr+wdpXin4gf8ABaT4iftJ/DH4KfGnQPBWsfCiaw+IF38a9HuYfsXiIauJYLDRnuixW0ERndo7ZjbZ2Fe1fpVQAUUUUAR3V1bWNrJe3twkUMMZeWWRgFRQMliT0AHOa8p/Yx/ba/Z7/b7+EM/x0/Zm8UXOs+GYNfvNHGoXOnyW3m3FsyrIUWQAsnzAq44INYn/AAUv+H/7QvxY/Yd+IHwu/Zc0SHUvGHiPTItNt9Pm1xNMNzZTXMUd/El26stvI1m1yqSFW2synaSMV89f8G+Xgr49/Db9n74ueB/jb+yu/wAKIIfj/wCKLrw9obaoblPs811looCYIvMtoSqxxXKgpcIBIoUcUAffVFFFABXjX7Yn7dPwV/Yh03wve/F3SPF+p3PjLWpdK8OaR4I8IXet315cx20ly6rb2iPIQsMUjkgcBSe1ey18O/8ABcjwR8NPE/wZ8K+IvHPgn9oC/wBY8PXmq3ngXWP2fLW7fUdL1t9Olt4Gnez/AH8UcgmdAw/dn5hIQpwQD7M8A+MtO+IngbRviBpGnalZ2muaVb39taaxp0lndwxzRrIqTwSgSQygMA0bgMrAggEGtavJP2CU/aEj/Yo+FKftYNcH4lDwFpf/AAm5vCpn/tL7Mnnebt+Xzd2d+ON+6vW6ACiiigDxH42f8FDP2YvgF+0N4Z/Zb8deI9Yn8Z+J4ILmPTtC8NXmoppdrPcfZoLq/lt43SxgknzGskpVSwPOBmvbq/Hn/goj8Av2yPBf/BY3VPjV+z/pXxhXXPiAPh2nw41fwOLn/hGfKsNReLXbbX2j/crElk8sqJP8p+0MUy/T9hqACiiigAr5r+Bf/BVT9mj4/ftPN+yD4c8LfEnQ/G50m91O3svGnw21LR4bqztJVimniluokWSPe6gMuQSwwea+lK+PP2TfAXjn4q/8FTf2if2v/iD4M1fTNL8M6bo/wu+GcusadLb/AGqxto/7R1S6g8xR5kMt7coiyplX+ynBOKAPsOiiigD/2Q==", "info": {"equation": "104/13=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "12cf7b62c6ff624345e10cc60644b52f95669a2799a665410b1e9f5dfd2cccf1"} +{"episode": 26722, "episode_seed": 2917594285, "split": "train", "timestamp": "2025-10-28T03:45:04.670880", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2917594285, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 8, 1])", "action": "('move', [5, 5, 8, 1])", "reward": 0.0, "image": 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", 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PDE/gpLyCe5bxbfpa2kVwr4ifzndBG+5toIYE7ivIYgr8efCvg6D9lLxl4Y0fQ7FNGT4fahaWtnbRKIBaixkRY0C8BNmAAOMdK+SzPh/E4rH1sTDEuCcVor30VrPVaafnofrk/EDCT8N8u4eWD5alCtKfttNdW/de/P765tVZRhrr7vgv/BOPw54W8BftA/FvwJ8GNEstO8ERafoV5d2GjWcUdhba/IlylysZjGBI1pFp7yRj7uUbA38/YNfOn/BO/wCEHww+Bnh3xl8PfhD4JsvD+iw6/bzx6fYK2zzZLKEu5LEszHA5JPAA6ACvouvV4Zg4ZHQV76X+9t/gfB8V46nmGe1a1O7VoxvL4pcsIx5pWbtKVrtXla9uaW7+Ov8AgvN4j+LHhn/gmT48u/hNLexyXL2dr4gm0+PMiaVLOqXOSOVRlIRyP4HbPBJr83v+CFvxh1Xwz8O/Hvg7xZ+0zf8Agjw7b6taXWj2MHim105JryWORbmQCUFnOyG2B7DA7k1+7Hijwx4e8a+GtQ8HeLdHt9R0rVrKWz1Kwu4w8VzBKhSSN1PVWViCPQ1z3wW+AXwa/Z1+H1r8Kvgl8O9N8O+H7KWWS20ywiOxXkcu7EsSzEsTyST0HQAVy5tkGJzHMY4inXdNKNtL336Wa0fXXofZZP4g5flnhliuGKmDU6tWtGoqjtZJct77vmXLyrpyzltb3vif9m7wZ8HPAX7aHwq1v9mgafc6h4lt/EI8b6vo9xFfS6vo5hknlvL65BZpG/tVbQCYnJkkePOPlH6D18efsb/BH4SfDv8Aa4174j+CPAGn6Zr3itfFMviLVbZG82/ZdZgILkkgDLE4UAE8kcCvsOnwnRdDLJRcm/flv5O36X9WfK8W5lDMsbRcXKXJTjFyn8Um3Kbb1ltzckbybcYp6fCiuL+O/i6Lwr4CuIzcrFJfZgEjNgJHjMjE54AUHntkV2lfM/7St7N8ePH2j/BTQmmaz1/UhpV7NGwXy7BQ02oyZKOBugjaFcjl5UwRnI6s/wAVOjgfY0n+8qvkj89G/kv0PDy+kp1+eXww1fyOy/Yk8Gm0+GNz8X9Ts/L1Hx/ejVgXiQSR6cFEenwkqzZAt1SUjPD3EvAyRXs1MgggtYEtbWFI4o0CxxxqAqqBgAAdAB2p9ephMNTweGhQhtFJfcctarKtVc5bsKKKK6DM/ET/AIOnfEPxXk/aD+HHhLU5L1fA6eEJbvSEMeLaXVGuZEujuH35FhFoMH7quMY3nP6pf8E5tY+Juv8A7CXwn1f4xQ3KeI5/A9gdRF5AIpT+6AjZ1GMMYwhPAOTyAc1w/wDwUi+Cfwm+Ocngrw78X/Adh4hsbBdVvrS01BWKR3CRQBZMKRnAZhg5BzyDXvfwV/5I54S4H/Is2HQf9O8dfL5dQcOJMZLmb0hp6r9Laep+p8S8a4POPDfKMip4ZQnhpVHKemt39nr717zvvKKevTpq/DT/AIOkfEfxYn/ao8B+E9bkvV8FQeCjdeH4mjxbPfvcyreMp/jkCLaA55UFem7n9y68r/aj+FH7H/xRsvC8X7XOieD7uCx8RxP4T/4S29igU6kwOyOEyOvmu4H+q+YPtGVOBj0c9y+eZ5dKhGfK207vbR9f63scPhXxdh+COM6OaVsM68YxnHlik5Lmi1eN+q2f91yPhD4A+PvAPx3/AGXPAXhn9pr9qNvEl5q2h6ZLrvgzXfG9mba7ulKPFBNaJtLgSLGfJPBZQGU8ivp//gl5p+neHfD3xP8ABngCyit/AekfEmaLwfBZ26JaQM9nbS6hDbFOGiS/e5HGQshkQY27V9H/AG4vAng74gfsza94K8aeHLbUdK1W+0q21GxnUhJ4n1O1DISpBwR6EGqP7A3gPwb8MPgTL8Pvh74cttI0TSfEuoQadptmpEcEfm5wMkk5JJJJJJJJJJr57Lcsr5fxHGFSvKo/Zt3fbmtbd6dfU5sfxBh8bkOKUYOHtqt1TVvZQu1Lnjr8ens17q9xv3nex7XXI/Hjwj8F/Hfwg1/wp+0TZaLceCbuxI8RR+IbhYrIQKwfdLI7KECsqsGyNpUEEECuur84/wDg5t8SfFjRf2FtE0vwPLex+HtU8a28HjJ7RMo0CxSSQJMw5WMzoh9C6oDzgH6rM8VHB5fUrSjzKKenf18u/kebwPkdXiTi7BZbSrexlVqRSns421vHb3tPd1XvW1R95/Bzwd8H/B/wq8P+GfgdpWjQ+D7PSoU8OJojpLaG025jaJ1JEisDu35O7O7JJzXUKqqAqqAB0AFfi3/wRq+POsQ/sit4e+J/7X+q+F7XRvElxaeF9HbxraWKxWOyOQ7Y5QXK+fJNgnjqBwK/Vr9mnxZrHjPw5d69ca6dU065aOXTtRE4lScOpJaNx8rIRtIK8c8V4eVcT4XMcRTw0KUotry5VZX08ui0XQ6+NeFsTw1xBjcJVrqq6VSS57u8td3f7WvvK7s76vc9Looor6o+KCv52/2OPHX7Uup/8F4tI8R6+mrS+Obz4rXdr4tiuLQGWOw3yRXiMh4SKO0DgY4REXb0Ff0SV8eeEvgn8JdN/wCCi9x8d7HwDp8fjHUfG15YXviEIxuJbZdBcCPk7QMIgyACdoya+Y4joOrWwclJr97FaefX5W/E/U/DfjXB8J4DOKFfDKq8Vh5Qi3b3XqrO/wBh815Jatxjp1X2HRRRX05+WH80/wCz78XPj/pX/BWv/hNvih8RdV8MeLdQ8fX1p431e4u4rKe0hZ3S6jZ5RshVY1KAdFCqF6LX6RfH2x/Zj+IXgHxV8VfEfxot/Gninw74WkfQfElz4pt9S1PQZo3820ex8s/uJjeeTsKrvlkEcZLAhK9w+HnwP+Eek/8ABQW6+N+n/D/T4vF2seNNVstS17Yxnnt10uULGckqBiNPugE7RnNM/wCCiPwN+EHxK+Lml+L/AB78PdO1XU/Cng57zw7d3cbE2E5uifMQAhScohG4HBUEYr8lq5TXWXV63t5csarjy62b5kubffW+3Tc/oDibxIy3iTirL8bRwzwypUIRfs7czcU5OC1S5L+4rvSOri/gPqn4S3njHUfhV4Z1D4i2zQ+IJ/D9lJrsLRhDHeNAhmUqOFIkLDA4FdBRRX6zFcsUj8DrVFVqymkldt2Wyv0Xkj88v2x/ifP4Y8f/ALS1/wDEn4g3ejXmjeG7IeEPPeKNrbTDpQa1ns0fiUvqcl4m7B3SosfOAtdB8FPjzZ31tocNx+2Lea94g1DSYY7rRJ/HNncmS6aJWlVIYgGLhg2Ap4wa+sfiT+zD+z/8YPiP4W+L3xO+E+ka14l8FTmbwtrF7AWm0+Qsr7kIODhlVl3A7WGRg813C2tqjb0towR0IQV8ZW4WxtbF1qscU4Kcm7K+z6PVbbLyPsMfxFlNbAYenRw/7yMYqbaiknGEYJRau2pcrnJtJ80rWduaVLwhNq1x4V06fXUK3j2cZuAwwd20ZyOx9fetGiivsaUHTpxg3eySu+vmfGylzSbta5+Rv/B1R4j+LFr4O+E/hXT5b1PBF7f6jPqoiT/R5dTjSIWwkYfxCJ7gqp65cjOOJP8AgnF8d08U/sQ+ENP+Pn7Y1/bXH2K40+Tw7qXjqzt4zpkcrwwQPC3z+WYFVcEhivfkGv09+Ov7PvwX/aa8ASfC749fDvT/ABPoEt1FctpupIxQTRklJFKkMrDJGQRwxHQkV0mjeGvD3h7R7Tw/oWiWtpY2FtHb2VpbwKkcESKFRFUDAVVAAA6AV8pj+G8XjMyqYmGJdNSSVle+itbdadfmz9UxPiHl1fw0wPDKwS9rQqzm6mlmnzNW0b5nzWlfS0I77R89/Zg8LjStA1fxQGk/4nmoRzLuxsKxwRxBk45B29efavT6AABgCivosvwawGCp4dO/KrX7n5fiKzxFeVS1rhRRRXYYni/wX+H5sPjZqniNtMksxp0OoQiGNSIt93dRTOctySTHuGD0cnuK9ooorz8swCy3DexUubVu783c6MViHiavO1bRL7grl/BPwu0rwRr2o65ZXbytfMRHGyACBC24qD357+gHuT1FFdFXC4evVhUnG8oXcX2urMzhVqQhKMXo9woooroMwooooA8o/aj8Nvrlpo88WkmaRGuLeO4jRmeMzKi7Rjj5to6jqor0TwXoKeFfB2k+F43dl03TILVWkILERxqmTjjPHatOivPoYBUMwrYrmu6iirduVW/E6KmIc8PClb4b/iFfht/wdGeKPi6P2rPAPhnU7q/i8G2vgz7Z4cUKVgbUWuZVu3Vh96RUS0B7qCuMbuf3JrhPjj+zH8Af2lrfRbT48/CnSPFMfh3VF1HRU1WAuLW5AxvXBGQRjKnKtgZBwKxzvLqmaZfLDwlyttPy0fX+tz7rwv4ywfAfGFLN8VQ9rCMZxaVuZc0Wrxvpfo/7rZ8G/ss/HWy+IvwB+H978cP2xLvV/Eeo6Np9xq/h/V/HNmVmvvkdEe3XD7xII2CZzuAzzkV95/s7eEm8J/DkLIJg+o6jc37pMMFTK+cAYHGACM+tdt9ktQ24W0ec9dgqSuHKshrZfjHiKuIdR8vLqtldPdt9j5jN83p5nVqTp0Y0lOblyx2V29ErLRXsvJBXP/FT4V/Dv43fD7VPhV8WfCNnr3h3WrcQ6ppN+haK4QMGAOCCCGVWBBBBUEEEV0FFfRyjGcXGSumeRRrVcPVjVpScZRaaadmmtU01qmnqmtjB+HXwv+Hvwl8DaV8NPht4QsdH0HRLJLTStMs4QI7eFRwozkn1JJJJJJJJJrdVVUBVUADoAKWiiMYxSSVkhVatSvUlUqScpSbbbd229W23u31YUUUUyArxfS/h+br9p062dMkthYanNqjNCp2TM9m9qGYnOcrJ2xynsRXtFFefjsAsdOjJyt7Oan62vodFDEOgppK/MmvvCiiivQOc/Kq4+N+raB8IfhfrHij46X/hzx7qvxakh8Z3cupW1pewXhnuxrME3m5FvHDG7qMAbFFuB99d3vPgCbwJ8atauvC2gfHqbxzqWoWyWtxM3ii31G5s7Yvg7REMRpliSWGM96+n/D37Lv7PfhT44a1+0n4d+EmjWnjrxFZLaa14mit/9Ju4QIxtY5wM+TFkgAtsXJOK7qO3giO6KFFPqqgV8LT4PxVnGpinyuV7JOz1vd67v0evc+3zziXK8bXVTBYflvzNtqKalNtuMeW/uQ+GOzau7Rvyp9FFFfdHxAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFeP8A7Zv7dX7OX7BHw+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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", "info": {"equation": "234/13=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": "234/13=18", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "e7633913e6c9873ccd0345d85b7b8541cae73df9909f9498f655081e9e8c22bb"} +{"episode": 26723, "episode_seed": 3365918601, "split": "train", "timestamp": "2025-10-28T03:45:04.708794", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3365918601, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 3, 1])", "action": "('move', [5, 5, 3, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "24/8=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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h+eW42WKqV3Uk1bVenW7vsrH4fi8xWJoKlGCik76f8Mgooor6U8w+fP8Agqp4u+P/AIE/4J/fEvxZ+zD/AGiPGdno8TWEukW/m3UFubmFbyWIdQ6WpncMvzLt3LyBX82H7OfxH+Kvw3+Pfhrx98IvF13pPiiHV1Ww1aCeNZY3mzFIxeXKDKSOCz8AMSSOtf1pV5L8Jv2EP2PfgV8UtT+Nfwh/Z78OaB4o1cTi+1ewtCHImk8yUIpJWIMw5CBRjjpxXy2e8P4jNsZSrU6vIo6ddNb3jbr92y1P3Xww8W8p4C4XzDK8VgFXlXu4v3bSvHl5Kt9XTW6Sv8UlbW58q+MfiJ8EPHfh6/8ABnjf9ua81XRNSha31PTLr4pWaQ3lu3DwyGMo5jdcqwDDKkg8E1xuneAvhX8F/wBsH4E3n7F/hLRdK8X6rrlvYa7p/g+xgZLzwU6Fry4u1TgQpsiaO5OGeQAB3YKtfeP7WlhYyfsq/ExHs4irfD7WgQYxyPsM1fLv7Gf7L37Pf7Ov7UfhS7+CHwl0nw3Nq3hnWF1KewVzJcKgsiql5GZtoLE7QQM84yBXzmLyjEYLO8JCpiJTcnu73Vmtrt7nyXD/ABFh8FleKlLmS5WlSVvZTcouLdT3l8OjSUJOVkuaGjX3PRRRX6Yfm4UUVwvxm+J9v4R0yTw/pczf2pdQjYygEQoSQWOe+AcD3zXJjsbh8vwsq9Z2S/F9EvNm1ChUxFVU4LVnlX7XPx30zw9Y3N60c13Z6TKlvaWFoV87UtQlkWGK3i3MFd3kdI0yRyxOcc13H7IPwCvfgf8ADV77xsLW48ceKrgat441K3gVd946jFqhDMTBbJiCIbiNqbursT5N+zT8N7j45/Hab4t+IrB/+ET+G+oy2PhaCYLs1HXhG0V1e7GjyUtkla2jYPjzTcHGURq+sK+f4dwdavOeaYlfvKuy7R6f129T0MxrQpxWFpfDHfzYUUUV9WeSFfl3/wAHQnjT9oXw9+zz4F8NfD+XU4Ph/rWrXkfj+exh/dPOn2ZrCGeQcqjH7SwU/KzRLnlVFfqJXiv/AAUL8LeHvHH7JuveDfFukRX+l6rrGhWmo2M+dk8Ems2SuhwQcFSRwQeeDXlZ3ReIyitBScfdbuvLW3ztZ+TPsOAeIaHCvGOCzWtQVaNKd3B9bpxur6c0b80X0kkfg3/wRg+Lvjz4e/tRzeGNN+NV74K8J61pM0ni68tdYt7FZRBFKbUNLOCARNIAAvJ3njAJH6geKV/Zk+PGp6N4f+LH7RNn8SEs9SS40Xw34m8dWl/ate/djkFohVZ5ACQodXHzsAOTXp37AH7P3wU+AHx58U+FPgx8NNL8O6fd+C7C6urewiJ86b7bdrvZnLMxCgAZOB2xk113/BSn4TfDb4wfDzwJ8PPib4Ns9Z0TUPiNF9s065VgkuzStSkTJQqww6qeCOlfn2GyfE1eHHiliJKNpPk1to3521tfY/QOPeP8BxX4hrMMNQeHjaEeeNva2S1m7OKc7Pltzr3UlzHkP/BNrTNK8B/twfFH4bfs6adBb/CweGLa/wDFFppFtF/ZmneL2uBG0MMifcla0XdLApxGUQFUwoP3hXzL/wAE4PhX8OfgsnxF+Hfwo8G2Og6JZ+IrF7fTdPjKxq76bbs7EkksxJyWYk9OcAV9NV9vwxTdPI6N23dX16Xe3oj824wzOlmueTq007JRjzStzz5Ypc87X96W71dtFzSa5mUUVxP7SmqfFDQ/2dvHmtfBCykufGdp4N1ObwlbxW6ytLqa2sjWyhG+VyZQgCng5wa92cuSDla9j5/C0HisTCimk5NK7dkru12+iXV9jzWz/Z6/4JtxftjzfEax8K/DcfG77Q15NGmpwHV1mNsC05s/MyJDCd5k8vcQ2/OSWPvn2Oz/AOfWP/v2K/klj+LPxs8P/G5vjL/wm2u2vj+219tQk12Sd11BNREhZpGZvm8zfkEH3BGOK/c34Z/H3TdQ+Gnh2++IX7fOqW/iCfQLOTXoP+Fk6cnlXrQIZ12qpC4kLjA4GMCvg8Hxngoc/Nh3G7b91LXze2vc/d/FjwnzLg6GBqVcy+s88ORc7d4cltIJuX7v3vd2t21P0QREjXbGgUDoAMUteFfs8fEbxH4/8RWut6D4vOv6NdwkzX8F4txbuqgqHV0JTO5SPlPJDdxx7rX1WUZpTzfCuvCDirta+XX+ut0fheLwssJV5G09L6BRRRXqHKfz8f8AByD41/aF1X9vq78FfEybU4/BGlaTZyfDm2mh2WkkElrCbueLHEjm681GY/MBGi/dC59G/wCCLH7Rfj2b4E674O+LX7XWs+F/D3h6/t7TwVp0njG1sVSNhLJcpGswLsis0WP4V3EL3A/WD9sv4R/sSfFbwNpcX7cek+C5dCsdVzo93401OKyjiu3jfKRTPJGdzIrEoG+YR5IOwEd/8L/B/wAL/B/w40Pwx8I9E0i18LWWlwx+H4NHVDarabAYjEVyGQqQQwJ3Zzk5zXxFbhjF1s1q14Ypw5tdL82vR6rRdNeiP6AzjxZy3MPCfB8NrLLTp8sfaNL2d6e84OzftJ/8vNvilq7nwRqvw6/Ys+NOv6x42+J/jLwx8TNUTQWg1TV/F/ii21STTtLXlgp3BbOEEljKgQhmY7wTXuP/AAR61Txpf/siy6frEmoTeFdK8Zapp/wsvNTtFiluvC8Toti4wBvjH71Y3I+aNEIyu1jyP7bH7L37Pf7Qn7YCSfGv4TaV4jOj/D7STpv29XAg8zUNT34CMoYN5aZDZHy/WvoH9h63t7P9kX4e2dnbxwww+GbeOGGJAqRoowqqo4AAAAA4AFc3DuCqYXiPEQlUcnBat/avZ66vY+BzbPaNbhClhLznKcou07clJQ5klS95t8yfvO0EkrcstGvVaKKK/QD89Pib9szxh4ntP+Cingfwr8SvEN5p3gZPh/Jd+A4Z2WHT9R8UPdTW90jSEjzblLJ4RFESTieUqpJYjxG0/aE06z/bz8ZeDdC/ayuvDfhODwTZzeIIdP8AFFjZW0fiFZxAsSyOCzyC1jxIgJ2MmGCnAP6MfHH4BfBr9pX4fz/Cz47/AA703xPoFxcRTyabqcRZRLG25JFYEMjDkblIOGYdGILvg18B/g5+z18PrP4V/BX4daZ4c8P2LyPbaZp0GEV3Ys7knLMxJJLMSenPAr43G8MYzFZtPFQxDgmul+ZeS1Wnz8rdT7+nxPkUMjjSlhnKuoeztaPs7Xv7W/xe0eq5eX4nz89vcPlr4b/HTw/eanL4c8L/ALWs/iu8v0BTT5vGtrezAR5YtGkOHHHLEZ4HPAr61+Gl14ivfBVjc+Kkdb1kPmeauHI3HaWHYkYyK2ktraNt0duin1CAU+vRynJMRl2JlWq4mVS6tZ3776t/L1Z8ji8dTxNJQjTUbO+n/DIKKKK+hPOCiiigDB+KWiR+Jvhtr3hqfSY7+LUdIuLW4sZc7Z4pI2R0OCDyrMOOea8d+A3w4l1H4s6f47uIbqEeHtNvbSNSm1Ga48gMrZGdyiEcAjGeeor6Aorx8ZlEcZmVHFubXs+lt/n089/kdlHGOjhp0VH4uoUUUV7BxhXGfEL4M6T491mHW31WW0lVVjuPLjDeagJ6Z6NzjPI9jXZ0Vy4zBYXH0fZYiPNHe3p6GtGtVoT56bsyvpOmWmi6Zb6RYR7YbaFY419gMVYoorojGMIqMVZIzbbd2FFFFUIK+PP+Cn/jDxP4e+LXwP0jxT4hvNI+Ft74g1GfxffKyxWUmr28cEuj297OSPLhaUXDhSQrywxA5IUH7DrE+JPw28BfGHwJqvwx+KHhOy1zw/rdo1rqmlahCHiuIm7EdiCAQwwVYBgQQDXBmmDnmGAqYeMuVyW/4/c9n5HtcP5jhsqzaGIxFPnhaUWtLpThKHNG+nNDm5o3+0lqtz83PjZ8drfwl+3T4E8FeFP2krjwpDP4X1RfiPDp2vWdokFtGnm6f50soJjlNxM2I+GZHDYKkmvTdK+JPwm8V+JNLttQ/ayHi+8gvfM0bStU8d2d2BdtG8QeOKPazS7JJEHXiRuM4x9Yfs//ALKv7O37K/ha78F/s9/CPSPC2m396bu9t9OhJM820Lvd3LM2FUAAnA7Yya71bS1Vgy20YI6EIK+SpcH45YX2UsW0usUny/8ApSv9x7Gb8QZTWxFOOCw/uU48vPJRjOb5pSc5JcyT97lS5pWjGKu7Hl/7Lvw/fwrZeIfF8wuFk8S6lBcGOYAKFitooFKDAOCEzk5znI4r1SiivsMvwccBgoYdO/KrX7nyeIrPEVpVGrXCiiiuwxPJbf8AYR/Y+tP2gX/antv2fPDifECS6a6fxKLU+d9oaPy2m258sSFc5cLuJJbO4k16t9js/wDn1j/79ipKKzp0qVK/JFK7u7K133fmdeLzDH49weKqyqckVGPNJy5YraKu3aK6JaIRESNdsaBQOgAxS0UVocgUUUUAfz8f8HIPjX9oXVf2+rvwV8TJtTj8EaVpNnJ8ObaaHZaSQSWsJu54scSObrzUZj8wEaL90Ln0b/gix+0X49m+BOu+Dvi1+11rPhfw94ev7e08FadJ4xtbFUjYSyXKRrMC7IrNFj+FdxC9wP1+/aI/ZP8A2cv2svD9h4X/AGjPhFpPiyy0u8N1p0epRtutpSpRijoVZQQeVBw2FJBKjHU+Bfhz4E+GXg3TPh58P/CVhpGiaNZJaaXpljbqkVtCgwqKP69Sck5Jr4mvwrjauZ1cTDEuClrdX5tem60XTXtofveb+L+T5l4WYTheOXJVaXInL3eRcn24aN+0qfbbS+KerufHvw18VfD3xd4qur3wp8a08da/LawxzzyeJYNSu0to5HMcYEPKxiSZyPl+9KeeQK+sPgX4Bj+F3we8OfD6KWZxpOlRQbrggucDPzYAGefSupjt4IjuigRT6qoFPr1MmyGWVYipXnWdSU0ldr89Xc/FcZj1iqcYRgopf12QUUUV9EecFFF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"info": {"equation": "24/8=3", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "0780806bc64b889327bb2ffa6d613b0e61b15d4098c7ce08f53e564884cd8c12"} +{"episode": 26724, "episode_seed": 859185600, "split": "train", "timestamp": "2025-10-28T03:45:04.760585", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 859185600, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [1, 4, 3, 0])", "action": "('move', [1, 4, 3, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "25+78=103", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "25+78=103", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "4ca305507b1a9f18d5fc36d90f63cb1acd5348153e70b1872647044c1b9bbabb"} +{"episode": 26725, "episode_seed": 889848466, "split": "train", "timestamp": "2025-10-28T03:45:04.804368", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 889848466, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 4])", "action": "('move', [2, 7, 1, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "16-14=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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p9hFGsUVjCqqoCqsQAAHQCpURI12xoFA6ADFedg+G8Zh8VTqzxk5KLvZ3s/L4n+Wx8rnfEGHzfH4nE08LGkq05SUY2tHmk3ZaLRXstthaKKK+sPmQooooA/n+/wCDlDxb8cdU/b9PhL4gS6ing/SvD1nJ4At5otlq0UsEZu5oscO5uVkR2PzYiRTwq1+oH/BCTXvjF4g/4JneAp/jJBdrLbLcW3hx722ETyaPG+20YAAFk2DCMRlkVTyME6f/AAUO/Z++C37Q3xY+HPh342/DnT/Eljp+h67c2VtqG/bFMbjSlLjYyn7pIwcjnpXsH7GFra2H7KfgGwsbaOGCDw1bxwQwoFSNFXCqqjgAAAADgAV8ZlmGlS4sxbc29E//AAKzt8tkftfFniJl+e+FeVcP0sGoVMO/enpb3VKN421vUvzVL297+a916dRRRX2Z+KH8w3/BW3xl8d/E3/BRf4nXPx1uNSTVdL8VXNnoMN9F5f2fSI5mOniFRwIzAY5AR94yM5yzE1+o3wR+OWnfEz9mjwyP2gv259UGt694SgHi7TZfiRZWhMs0OJo2WPa0WQxBClWXPBBFfc3xR/Y0/Za+NXxX0L45fFb4H6Drvi3w15X9ia5f2xaa28qQyxjggOEkJZQ4YAk4xmuq+K9paj4X+JXFrHkaBeHPlj/ng9fDPhPGrEVqscU4qTb0vdrX4tV38z9x438WMr4q4dyrLsPgFSnhIpOWmjSUbU7K6i7czvZ3sul38F/AbwH8JfhF+3l8HbT9kTw1o+ly61oOp2/jmz8JWkL28/hZLIyW11dFM7QL5bNYpyd0pkkG58Hb+i9fEP8AwTm/Zy+BfwC+M2jz/Br4X6X4ek1z4YXc2ry2KOXunWfSSpZnZjgF3IAIALE45r7eru4NpuGSp3veUn6dLL7r/M/P+Nszo5lmdNU5Sn7Omouc7Kc3zSnzSSlLbm5I+9L3Yx16Irnfi34X+GPjX4Ya/wCFvjTp2lXfhK80mdPEcOtsq2n2PYTK0rOQEVVBYuSNu3dkYzXRV+cf/BzJ4u+OXhv9ibRdM+G0+oweF9W8ULbePZ7CP5Tb7N1vFM45SJ5gM9mYIpPIB93MsVHBYCpXlHmUVt3/AOB38jm4JyGtxPxZg8rpVvYyqzSU/wCW2t1t72nuq6vKyutz7Q/ZT+GP7KPw1+EMGgfsf6R4Ui8GS309xC/hO8ju7Sa5LBZXMyO/mPlQpJYkBAvAUAekxwQRHMUKKT1KqBX8+P8AwQ1+N3jjwn4u8X/DvXP2j9U8FeBhpX9oC3i8TW+nwSaq0sMaspnBy5hWTITqEXd0Wv1S+D/xmHiC6bw/8Ov2jrrxreR3C3BiHieDUZos4QAiDkRn0YYyTXyeH40wUcPGPsJJ6K0UrfL9NPI+p8ROA8bwxxficDVxft2mpe0k3zvmSl797+9rrq+/Wx9f0UyAzNAjXCgSFB5gXoDjnFPr7lO6uflwV/Kh8bvjH+1Vpv7Z+vfGH4jeKNd0r4s6d4wea6vpf3F3Y38UmxEVeiKgVUVB8gQBRla/qvr4C+Pv7OPwL1/9rTxj8f8AXPhdpd14z074leHYbDxDPGzTwIsOiqu0FtmQrsA23Izwc4r47jLDyq4ehJTatNL/AMC6+qtp6s/afBrxBy/gLFZg8VhFX9tSstrpxb913/5dz5vf3fux0ZT0f4x/DvxH4KsLD4mftuTak13pcA17R9S+I1g1vcSNGpmhkRMZQtuBUEccZr6n/Zf8Gm213XviS7TZ1WwsrGPcB5bpBJcyb14ycm5IJyR8o9DXr32Kz/59Iv8Av2KkAA4ArpwHDdbCZhDFVsTKo4p2TXdW3cmfluLzSGIoypwpKCk76bb32sFFFFfUnkBRRRQB872Pwq/tn43Q2J0iWxSy8XvrswtlIQyCaSYuSwPyu7En1JOMV9EUUV5WVZXHK4VIqblzyctfPp/wTqxeKeKlFtWskgrw7/gpN4k+KnhD9h74heIvgzeata67baVDm80G3829tLFrqFb6eBcE+bHZm4kUgFlKAgEgV7jR1616Fek61CdNO3MmrrdXVrr0NMrxkcuzOhi5U1UVOcZOL2lyyT5Xvo7Wej0PzE+Pvxl8F+AfEfwM0r4PftAx+G4b7XVtkutE1+0jEvhn7HIJ5GmkLBIt0FuFkB+Z1Kgk8V6j4b+Ivwx8XeKdPtP+Gpj4z1GKSRtI0zUPG1pfNHKYnVpIoosMX8ppFzzhWbjuPpz4G/sZfssfs0+INd8VfAf4G6B4Y1DxK4bWrrTLUq1xh2cKMkiNNzsdibV6cfKMelLa2qMGS2jBHQhBXw1Hg7GrDeyli2k73ik3H/0pX89D6bN+IMnqVqccDQbjBfHNRjOTbb1UeZLlvyr3ndK+l+VcZ+zx4JbwD8LrbR5BOHutQvtQkS5ADI11dS3BXGBgAyYAPOMZya7eiivt8LQWFw0KKd1FJfcrHx9Wo6tWU31bYUUUVuZhRRRQAUUUUAFFFFAHkP7TGhS3Wv6D4ij0QSyWlvcW1vdojM6+c8LPFxxhjDER3JXiu2+CfglPhx8JPD3gaOSZhpmlRQ5uCN/A5zgAZ59K6iivKw+Vxw+aVsbztuokrdrLv8jqqYp1MLCjb4b6+oUUUV6pyhWf4ssm1LwtqWnLZpcm4sJoxby52y7kI2nHODnH41oUVM488HG9rjTs0zwj9mn4cCy+II8YLZ3FtHo3h+fR7eBk2xgSy2zlTkZ3KLVBjPAY5HIr3eiivOyjLY5TgY4ZS5rX123d9joxmJeLruo1YKxviF8PfBPxY8D6r8NfiR4YtNa0HW7J7TVdLv4t8VzC4wysP1BGCCAQQQDWzRXpSipJpq6ZjTqVKNRVKbakndNaNNbNPo0cT8C/2cfgb+zP4DX4Y/Aj4ZaX4Z0JbuS6OnadCdrzyY3yMzEs7EKoySThVHQADs44IIjmKFFJ6lVAp9FKEIU4KMFZLoti8TicRjK8q+Im5zk7uUm2231berfmwoooqjEK/J69+NGpaJ/wT18c/EP4p/FW+0v4oC61SbxLcX00MepWPi5Ll2t7VYGyEKSQW6QxBcfZ4kZQVG4/rDXmWrfsZ/sta7+0FbftVax8D9BuPiFZoi2/imS2JuFKxGJWIztZ1jO0OVLABQCNox89xBk1fOIUlTqcnK7/APB9VbT1eqPr+Fs7yjKo1YY+i5pyhNcqi23T5/3b5rWhU5/eau1yxfJLY+UPh/8AtEeGrDSND1zxL+3hcy6pFZWs2pWd58RtOaFrjy1MqOgGCu/cCoOO2a+uv2edY8Uax4fu59cup7i1EymxuLhixfIJYBj95c459SR2rvvsVn/z6Rf9+xUgAHAFZZdkGKwWNjXqYqVRJPR36+sn6+tjxcZmVLE05RjRjC7vp09NPkFFFFfTHlBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUVBqtpLqGmXNhDctC88DxpMnWMspAYe4zmgD54/Z3/4Ku/sRftS/tCan+zL8G/idd33iWwW+axkutCuraw1tbKbybw6ddyoIb0QSHbJ5TNt5PIBNfR1fip/wSt/Zv8A2mbD9on9kL9njxj+zf448KXn7JNl8SI/ih4u1vw/LbaRftqtzMtiunXjfJfi4Eqyt5ZO0A7ulftXQAUUUUAFeG/ts/8ABRP9mD/gn5pXhzVv2kvEWr2SeKtT+w6RHo/h65v2L74oy8hhRlhjDzQrvcqC0igZJxXuVfn3/wAHH/i3Vpf2DYvgp4P+Efj/AMXeIPFfi7RrzTbbwP4GvtYWGHTtWsbq5Nw9rG4t/wB0GKb8eYVYLnBwAfoGrBlDDoRkUtc18Hfibovxm+F+h/FPw5out6bY67p6XVrY+JNFm06/gRuiz206rJC/HKOARXS0AFFFFAFDxV4n0PwT4X1Lxn4nvxa6ZpFhNe6jdMjMIYIkMkj4UEnCqTgAnjgV4f8Asgf8FMv2Uv23vHHiT4YfBXXvEFt4m8K2cF9qvh3xd4SvtGvfsM5xDeRw3kUbSQPxiQDHzL6jPtXjnxTB4G8E6x42utIv9Qi0fSri+ksNKtGnurlYo2kMUMS8ySMF2qg5ZiAOtfnL/wAEZvijrH7Vf7ZfxY/bW/aM+DfxN8H/ABZ8Z6Amm6P4a8UfDLU9J0rwr4SsrsC109L66hSK9vZZJRcSlT3IRQqNQB+l9FFFABRRRQB87/tm/wDBUX9kz9gnXrLQ/wBovVvFNmlxZxXl/qujeCdQ1Gw0e1ln8iOe+ureForRGkBVfMYE7TgV9A6bqVhrOnW+r6XdpPa3UCTW08ZyskbAMrA9wQQa/Mr/AIOL7C4+Ofwui/Zv8D/Ar9oPXviRFZW9/wDDKX4e6Ld3HhPWL+a+gzbaxsJtJUh+yo5S9UKqykxk7mr9JPh7F4ng8AaHB41t7WLWU0e2XV4rJQIUuhEvmrGBwED7gMdsUAbFFFFABQSFBZiAAOSaK8T/AOCjfhD9pb4hfsR/EX4f/shRQv8AELXtAbTtD87VEsSqzyJFcMlw4KwSi3aYpIQdr7Tg4xQAv7Gv/BQX9l/9vmLxvd/sw+NbjXbX4f8Aiybw7r96+nSQwteRjJMDuAJoyORIvBBBHWva6/Mr/g31+Fn7SXwT+Lf7TPgP4rfsS/8ACoPC8nj3T5fD1qviM31vG0OmW1qLS1k+zQi9hWKJHN4nys7Mm3cpJ/TWgAooooAK+c/iV/wVA/Z1+Gf7VU37HFz4Q+JWu+MrN9KGqnwl8NtS1Ww0xdRJFrJdXVtE0VsjAOS8hAAjck4U4+jK/Jb/AIKoeAPiFpX7dr+P/wBhTwJ+0zpf7ROveL/CEEOt6Da3cfgDVtFtgonN/LF/okkMcEt0jrcnzFkzsG1skA/WmiiigAooooA5D4+fHr4S/swfB3X/AI+fHXxpa+HvCfhiwN3rOrXeSkMeQoACgs7MzKiqoLMzAAEkVz/7KX7XHwm/bI+Hk/xI+Eln4ls7W0vzZ3lh4u8KXmjX0EnlpIpa3u40k2NHIjq4BVgwINfO/wDwcE/s7fGL9pj/AIJl+J/BPwO0HWNW1vSvEeh67JpHh0btQvLSy1CGedbZf451jVpET+JowACSBVH/AIIbW/7Qcfw6+LFz8RJ/iw3w3n+J0zfBQfHB7pvEo0b7NF5puPtn+kiI3Pm+WJfmwGx8uKAPuWiiigD/2Q==", 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", 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", "info": {"equation": "16-14=2", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "a452db98d149f11888021b4f7aa3666a7d352c5668c9c27f9c3ced95a20154ef"} +{"episode": 26726, "episode_seed": 1655041129, "split": "train", "timestamp": "2025-10-28T03:45:04.852123", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1655041129, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 5, 3, 8])", "action": "('move', [4, 5, 3, 8])", "reward": 0.0, "image": 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8u4B/tFYrBqv9Zpezjto9fdlf/l3O/v2u/djozwDw344t/B/xrs9Kg+Ih0i61XwJZQWOkjVEhOpFZ52O2M4eV4wONnKh2z1r7R8DXGtXXg/TrnxCjC9e0Q3G8YYnHUjsSMEj1zXg/7HCI3xI1VmQEjwJouCR0/fXtfRtebwdgKlPBxxbqtqaaUeitJ+f6LdnwGcV4yrOjyq6e/V6BXh3/AAUq8TfGLwb+wb8U/E/wCe+TxZZeE55NMl0yLfcwrlRNJEOu9YTKwI+YFQRyBXuNBAYFWAII5Br66vTdajKmna6aut1db/I5MrxkcuzOhi5U1UVOcZOMtpcsk+V+TtZ+TP5tf+CLvxd8a+Af2pLrw7b/ABz1LwX4X1rRbiXxRdW2vQ2Mc7Qoxti8k2VLCWTAx8xDt2LV+h/x/wDCn7HnxP8Ahz42+JvxD+J+m+N9a07wsVTxVqHiO21TU9HEe97NbQqf3D/aSDGiKDLK207922vtv9lb4NfsSfC//hKv+GP/AA74Itft2tf8Vd/wiN7Dcbb1N2Iptjv5TJufEXyhdzYUZNeA/wDBRL9n/wCCnxL+N2ofEDx98NNM1bWfC3w2tJ/D1/dxsWsZPtOpvuUAhSdyIw3A4KgivzLMeHsTl+Uc8sS5RTXuq/Lq7XWvz23P2/inxHwPFPiJ/atPD1MLFQiny2VWXKr+9qkuZ2je8rQUXyytyn1f+z7qXxD1j4CeCNX+LlrJB4suvCGmzeJ4ZoBE8eotaxtcqyLwhEpcFRwOldfRRX6hCPJBRvex+EYiqq+InVUVHmbdlsru9l5LZBXg/wC2f8WJvCmgHStHsze3lv5YtNPVlBvdQndYbO2BZlGXlkRcEj74OeK9o8VeJdO8I6FPr+qMfKgUfKv3nYnAUe5Jr5y+FWgah8bv2pV8R67bs+k+BYv7WuWcLsuNZukeO2TaYzuEFuZ5CVZcNPAcEjj5vP6rxVSlllN+9Vd5eUFq387aejO3L4KlGWKktI7ecj2n9nv4R2vwQ+EekfD5LhLm9hia41rUFgEZvtQmYy3NwwBOC8ru2MnAIGcAV2lFFfR06cKVNQgrJKy+R5spOcnJ7sK/BX/g5v8AFHxkv/229E8JeMJb9fB1h4Rgm8HQSR7bV5JWP2yRCOHkMiIrE8gJGOBjP71V5F+1p8If2Kvivp3hqL9s3Q/BV3bWOtZ8LHxlfxWy/bXA/dQmR08xnCjMXIbaMqcDHk59l08zy50Iz5XdO7206P8Arex+k+E3GOG4G4yp5nXwzrx5Zx5YpOa5l8UL9dLPb3XI+Av2PvjBoXxI/Yi8HaD+0Z+2VfR3Gp+F2s9d8O3fxBs7ONrLdJFHbyRrteNGthGpG4MQxyQSa92/YR8J+A/hp+3Xr/g39nPw/p2meFb34VW93460/wAO2cK2EGpJdxJpLsY/9XPLaPfHaMb440kIJIZvqv8AaN0vTZf2dvHlrJp8JjbwVqiMnljBX7JKMfTFeIf8E4/gX8H/AIAeJ/G3hL4L/D7T/DmnXWjaHd3Nrp6tiWdpNSUyMzlmY7VUcngDivmKWUYjL+IMLGpiJVLqT1vpZbat6MirxRhsZgczrRpumq8nalG3slzyvd6rWnpyJR3SfMuWz+qKKKK/QD84PH9U+Df7El5+17ZfFPV/D3ghvjUmj5sZ5r6EaybMRvF5q25fcyiPzE83YSFBXdgYHri2tqjBktowR0IQV/MX+0j8Y/2qdB/4KheKfid4g8X61o3xJ074izwWt+8i289kiymCCNN3yJELcoig/IYzzlSSf2c8E/HTwmfE0dhoP7Z114hu7wNb2+k3Hj2zuvOZv7kcYDl+ONpz1r4WHGWDoSqxlQafM9ra+ctrPvuftHiL4aZhwtQyydXHrEKtRTV23yWs+WGr/d+97j0v72iPtyisX4eXOt3ngnTbrxEH+2PbgzGQYY8nBYHoSME+9bVfa0Kqr0I1ErcyTs91dX1PxqpD2c3Hs7BRRRWpB/Or/wAHBPiz41ap/wAFNPEml/EO41FNO0ew0+PwJDNGUjTT2gRy8AHDBrk3GX5JZSp+6AP3q/ZQ1f4oeIP2Yfh5rvxttriHxjeeCtMm8UxXduIZV1BrWMzh0HCN5hbKjocivmf/AIKTfAX4NfF34rz+K/id8OdO1zUPC3w0kuvD9zfozGym866beqhgrHdGhwwI+Ucda+07ElrKFmOSYlyT9K+SyTDulnuOvJvWP/k13+Gy8j9e4747wPE3BOSZXRwipTwsHGUtNWlGPu21tK3PO/2u9ruWvzq/4OYfE/xi0D9g/TNO+Hs1/F4e1Xxjb23jeWyjyptPLd4UmYcrG1wsXsWCKeoB/RWsP4k/DbwH8YfAeq/DD4n+FrTW9A1uza11XSr6PdFcRN1UjqOcEEYIIBBBANfQZjhZY7A1KEZcrkrX/rp38j4jgzPqHC/FWDzatS9rCjNScdNUu19OZbx/vJH4e/8ABDP4za14d+Fvjbwb4y/acv8AwV4cs9YtZ9BsIfFNppyS3Mscn2pwJQWc7Y7bJ+6O3JNfU+reDPgb4Y+JHw1+L37Od9pusfEvU/jFY/Y/FOmXsOp6prQuZ0TWluJwWMsS6c9w8n8MCohUR55/Q34P/A/4SfAH4e2Hwp+DfgDTvD/h3TPM+w6VYQ4jiLu0jn5iSSzsxJJJJNfJXgD4B/BnRP28I/j1pPw402DxlqPxS1a0vfEKoxuJIBZXq7OW2qNsaAlQCQvJ5OfgsVkGKy6WEVTEOV6kY21tHzjd9OmiP0DM+P8AAZ7xfmOc0qMqNOopSVONrVLRUVGtqlyz1lUtz3baS15l9v0UUV+lH4wfz/8A/Byh4s+NF5/wUIj8PeNLjUIvDOkeGLKTwHG6FIBHIitdTREcM5uVdWb737pB0Va+w/2Wf2grX4g/steDtQ/aH/bav5ta1fw3GfE+jat8QLGNJg+4GGaLhgGiKhlJDYY5IOa++vjn+yf+zh+0xf6Bqfx6+D2i+KbjwveG60GXVbcubSUlC2MEblYxplGyrbRkHFd+bO0JybWMn/cFfGV+F8ZWx9avHFOCm76Xv6PVaLZb6H7DxH4mZZnXAuU5FTwKjUwaalPSz0t7ujfv/HUvb30t9zyn9l3wiLE65493Ska0tpBHux5bJAJSHTjnJnIzkj5Rjoa9aoAAGAKK+ly3BLLsDDDKV+Vb7X1ufkuJrvE15VGrXCs3xjp41bwlqmlmxS5Fzp08RtpM7ZQ0bDYcc4OccetaVFdk488HG9rmMXyyTPG/2XfAv9ka1rPi9reeHzdOtNMjhkTagWB534BGcgylTz2A65r2SiiuHK8BHLMBDDKXNy3123bf6m+KrvFV5VWrX/4YK8O/4KVeJvjF4N/YN+Kfif4BPfJ4ssvCc8mmS6ZFvuYVyomkiHXesJlYEfMCoI5Ar3GggMCrAEEcg1116brUZU07XTV1urrf5G2V4yOXZnQxcqaqKnOMnGW0uWSfK/J2s/Jn82v/AARd+LvjXwD+1JdeHbf456l4L8L61otxL4ourbXobGOdoUY2xeSbKlhLJgY+Yh27Fq/W3wQngX433Op+FPDXxuk8b6lq1nHY398PElvqN1bWxMgRcxDEaKZJWG5cZZiSRwPpn4F/smfs2/szf23/AMKE+DeieFv+Ejvhd63/AGXbbftUo3bSck4Vd77UGFXccAZNegxwQRHMUKKT12qBXxFDg7FKhGnVxT5U78qT5d79X+m5+meJXiNl/G3FM80wmE9lFwjFXtzOy+KVk9deVav3Yx9E+iiivvD8lMrxr4Ts/G3hyfw9ezNEJcMkyjJjcHIOD1+noab4H8IWXgfw5D4fspmlEZLSTMuDI5OScDp6AegHXrWvRXN9Uw31r6zy+/blv5XvY09tU9l7K/u3vbzCiiiukzCvwW/4ObvFPxlvv23NE8J+L5r9PB1h4Rgn8GwPHttWkkY/a5UI4eTzERWJ+YBIxwMZ/emvPvj7+yn+zp+1LaaPY/tCfCHR/FkWgXxu9HTVoC32aUgBiuCMqwVdynKttXIOBXj57ltXNcveHpz5XdPyduj/AK3SP0fwr42wPAHF9PNsXQ9tBRnGytzR5l8Ub6X6PVe65H55/saftAr4/wD2QfBl1+0R+21qX9s6loLR67o+qfECyhEkBkkRIpYj84DW4jDBjuIYknJNfdv7K3haGCfW/iDbO7Q6vZ2NrbMpBieKA3Dq6ED5gftJGckHAx0OfW1sbFFCJZxAAYAEYwBUoAAwBgDsK87L+HK2Dx0MTVxMqnImkmu6t1k/6sfNZ1ntLNsViKtPDxpKrOU+WO0bycuVaLRbLyCiiivqT5087v8A9kz9m7U/2gLf9qjUPg5os3xCtbP7Lb+KntyblIvLaL12lvLZk3kbtp25wAK9AW1tUYMltGCOhCCpKKiFOnTvypK7u7dX3fmdOIxmLxagq9SU+SKjHmbfLFbRV9oq7slogoooqzmCiiigDwz9qT4d/wDCb+J00xdJkDa5oTaS19bKTIUdpMpk5UbfMZhx3JOQK9xgiEMCQg5CIF59hTqK83B5dHCYyviOa7qtO3ayt8zprYl1qNOna3Lf53CiiivSOYK8J0T4ai8/aNS/GlS2a6Z4hudYbyFISR5IJ4t7Fs8P5xbjHzDjoRXu1FebmGXLH1KMnK3s5qXrbodOHxLw8ZpK/MregUUUV6RzBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAVyHx8+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": "5+3*3=14", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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jeBpGLEszEKoySeFAHAr6er1+FouORUdb3u/xeh+d8XZhSzHO5VKfM1GMY80rc8+WKXNKzau+13ZJLmdrsr+Wj40fGX9rDRf2+PF3xN8ReKta0n4of8JZf2l/dSMsFxAzb7ZrfDfIsXkHygp+QR4A+XFf1L14x8Yv2Tv2cIvEXi79qmP4O6KPiHL4Ov7R/Ff2c/ajF9jeLrnbu8sCPfjds+XOOKOIMorZrCl7Opycjv8A8H1XT1ep9j4W+IeXcA/2isVg1X+s0vZx20evuyv/AMu539+137sdGeAeG/HFv4P+NdnpUHxEOkXWq+BLKCx0kaokJ1IrPOx2xnDyvGBxs5UO2etfaPga41q68H6dc+IUYXr2iG43jDE46kdiRgkeua8H/Y4RG+JGqsyAkeBNFwSOn769r6NrzeDsBUp4OOLdVtTTSj0VpPz/AEW7PgM4rxlWdHlV09+r0CvDv+ClXib4xeDf2Dfin4n+AT3yeLLLwnPJpkumRb7mFcqJpIh13rCZWBHzAqCOQK9xoIDAqwBBHINfXV6brUZU07XTV1urrf5HJleMjl2Z0MXKmqipzjJxltLlknyvydrPyZ/Nr/wRd+LvjXwD+1JdeHbf456l4L8L61otxL4ourbXobGOdoUY2xeSbKlhLJgY+Yh27Fq/Q/4/+FP2PPif8OfG3xN+IfxP03xvrWneFiqeKtQ8R22qano4j3vZraFT+4f7SQY0RQZZW2nfu219t/srfBr9iT4X/wDCVf8ADH/h3wRa/bta/wCKu/4RG9huNt6m7EU2x38pk3PiL5Qu5sKMmvAf+CiX7P8A8FPiX8btQ+IHj74aaZq2s+FvhtaT+Hr+7jYtYyfadTfcoBCk7kRhuBwVBFfmWY8PYnL8o55YlyimvdV+XV2utfntuft/FPiPgeKfET+1aeHqYWKhFPlsqsuVX97VJcztG95WgovllblPq/8AZ91L4h6x8BPBGr/Fy1kg8WXXhDTZvE8M0AiePUWtY2uVZF4QiUuCo4HSuvoor9QhHkgo3vY/CMRVVfETqqKjzNuy2V3ey8lsgr5q/bM8W6N8NZ9S8W6VaG6v0solj05Ag+1X8riK2hXLKC0kjxqckfezmvoXxV4l07wjoU+v6ox8qBR8q/edicBR7kmvl7w/4B1L9pb493k2spJ/Zvg20OqySFgqT65cq6WaEGM7lgg86RsMMNPAcEjj5Lip/XVTy+lFSqSfN6KKevz2XzPSylexcsRN2itPVv8AyPW/2I9P8J2X7L/hS48JzNN9us3u9YupoEjmn1SSV2vmmVGYLL9p85WXc20rtyQor1avn/8AZHi1rwN8QfFfgeUL/Yus3P8Aa9hDvRWs784S8i2BAdshWOYHLHeZ87crn6Ar2slxlLHZZTqU1ays12a0a/rocWNozoYmUZa9b90wr8Fv+Dm7xT8Zb79tzRPCfi+a/TwdYeEYJ/BsDx7bVpJGP2uVCOHk8xEVifmASMcDGf3pryL9rT4Q/sVfFfTvDUX7Zuh+Cru2sdaz4WPjK/itl+2uB+6hMjp5jOFGYuQ20ZU4GM8+y+eZ5c6EZ8rund7adH/W9j7/AMJuMcNwNxlTzOvhnXjyzjyxSc1zL4oX66We3uuR8Dfsl/G3Tvi1+xd4Usv2nf21dTfUNb8OPb+JdE1L4i2lsJrVnkjWGZAVkUPb7A2WDkMckEmvcv2EfCfgP4aft16/4N/Zz8P6dpnhW9+FVvd+OtP8O2cK2EGpJdxJpLsY/wDVzy2j3x2jG+ONJCCSGb6r/aN0vTZf2dvHlrJp8JjbwVqiMnljBX7JKMfTFeIf8E4/gX8H/gB4n8beEvgv8PtP8OaddaNod3c2unq2JZ2k1JTIzOWZjtVRyeAOK+ZpZRiMv4gwsamIlUupPW+lltq3oyKvFGGxeAzOtGm6arydqUbeyXPK93qtaenIlHdJ8y5bP6oooor78/ODx/VPg3+xJefte2XxT1fw94Ib41Jo+bGea+hGsmzEbxeatuX3Moj8xPN2EhQV3YGB64traowZLaMEdCEFfzF/tI/GP9qnQf8AgqF4p+J3iDxfrWjfEnTviLPBa37yLbz2SLKYII03fIkQtyiKD8hjPOVJJ/ZzwT8dPCZ8TR2Gg/tnXXiG7vA1vb6TcePbO685m/uRxgOX442nPWvhYcZYOhKrGVBp8z2tr5y2s++5+0eIvhpmHC1DLJ1cesQq1FNXbfJaz5Yav9373uPS/vaI+3KKxfh5c63eeCdNuvEQf7Y9uDMZBhjycFgehIwT71tV9rQqqvQjUStzJOz3V1fU/GqkPZzcezsFFFFakH86v/BwT4s+NWqf8FNPEml/EO41FNO0ew0+PwJDNGUjTT2gRy8AHDBrk3GX5JZSp+6AP3q/ZQ1f4oeIP2Yfh5rvxttriHxjeeCtMm8UxXduIZV1BrWMzh0HCN5hbKjocivmf/gpN8Bfg18XfivP4r+J3w507XNQ8LfDSS68P3N+jMbKbzrpt6qGCsd0aHDAj5Rx1r7TsSWsoWY5JiXJP0r5LJMO6We468m9Y/8Ak13+Gy8j9e4747wPE3BOSZXRwipTwsHGUtNWlGPu21tK3PO/2u9ruWvzq/4OYfE/xi0D9g/TNO+Hs1/F4e1Xxjb23jeWyjyptPLd4UmYcrG1wsXsWCKeoB/RWsP4k/DbwH8YfAeq/DD4n+FrTW9A1uza11XSr6PdFcRN1UjqOcEEYIIBBBANfQZjhZY7A1KEZcrkrX/rp38j4jgzPqHC/FWDzatS9rCjNScdNUu19OZbx/vJH4e/8EM/jNrXh34W+NvBvjL9py/8FeHLPWLWfQbCHxTaacktzLHJ9qcCUFnO2O2yfujtyTX1Pq3gz4G+GPiR8Nfi9+znfabrHxL1P4xWP2PxTpl7Dqeqa0LmdE1pbicFjLEunPcPJ/DAqIVEeef0N+D/AMD/AISfAH4e2Hwp+DfgDTvD/h3TPM+w6VYQ4jiLu0jn5iSSzsxJJJJNfJXgD4B/BnRP28I/j1pPw402DxlqPxS1a0vfEKoxuJIBZXq7OW2qNsaAlQCQvJ5OfgsVkGKy6WEVTEOV6kY21tHzjd9OmiP0DM+P8BnvF+Y5zSoyo06ilJU42tUtFRUa2qXLPWVS3PdtpLXmX2/RRRX6UfjB/P8A/wDByh4s+NF5/wAFCI/D3jS41CLwzpHhiyk8BxuhSARyIrXU0RHDOblXVm+9+6QdFWvsP9ln9oK1+IP7LXg7UP2h/wBtq/m1rV/DcZ8T6Nq3xAsY0mD7gYZouGAaIqGUkNhjkg5r76+Of7J/7OH7TF/oGp/Hr4PaL4puPC94brQZdVty5tJSULYwRuVjGmUbKttGQcV35s7QnJtYyf8AcFfGV+F8ZWx9avHFOCm76Xv6PVaLZb6H7DxH4mZZnXAuU5FTwKjUwaalPSz0t7ujfv8Ax1L299Lfc8p/Zd8IixOuePd0pGtLaQR7seWyQCUh045yZyM5I+UY6GvWqAABgCivpctwSy7AwwylflW+19bn5Lia7xNeVRq1wrN8Y6eNW8JappZsUuRc6dPEbaTO2UNGw2HHODnHHrWlRXZOPPBxva5jF8skzxv9l3wL/ZGtaz4va3nh83TrTTI4ZE2oFged+ARnIMpU89gOua9koorhyvARyzAQwylzct9dt23+pviq7xVeVVq1/wDhgrw7/gpV4m+MXg39g34p+J/gE98niyy8JzyaZLpkW+5hXKiaSIdd6wmVgR8wKgjkCvcaCAwKsAQRyDXXXputRlTTtdNXW6ut/kbZXjI5dmdDFypqoqc4ycZbS5ZJ8r8naz8mfza/8EXfi7418A/tSXXh23+OepeC/C+taLcS+KLq216GxjnaFGNsXkmypYSyYGPmIduxav1t8EJ4F+N9zqfhTw18bpPG+patZx2N/fDxJb6jdW1sTIEXMQxGimSVhuXGWYkkcD6Z+Bf7Jn7Nv7M39t/8KE+DeieFv+Ejvhd63/Zdtt+1SjdtJyThV3vtQYVdxwBk16DHBBEcxQopPXaoFfEUODsUqEadXFPlTvypPl3v1f6bn6Z4leI2X8bcUzzTCYT2UXCMVe3M7L4pWT115Vq/djH0T6KKK+8PyUyvGvhOz8beHJ/D17M0QlwyTKMmNwcg4PX6ehpvgfwhZeB/DkPh+ymaURktJMy4Mjk5JwOnoB6Adeta9Fc31TDfWvrPL79uW/le9jT21T2Xsr+7e9vM5Pw/8JNH8P8Ajq68bwX0jtOXaG2ZAFiZz85z39vTJ69usooow2Ew2Dg4UY8qbbfq9wq1qlaSc3dpWCvwW/4ObvFPxlvv23NE8J+L5r9PB1h4Rgn8GwPHttWkkY/a5UI4eTzERWJ+YBIxwMZ/emvPvj7+yn+zp+1LaaPY/tCfCHR/FkWgXxu9HTVoC32aUgBiuCMqwVdynKttXIOBXBnuW1c1y94enPld0/J26P8ArdI/Q/CvjbA8AcX082xdD20FGcbK3NHmXxRvpfo9V7rkfnn+xp+0Cvj/APZB8GXX7RH7bWpf2zqWgtHruj6p8QLKESQGSREiliPzgNbiMMGO4hiSck192/sreFoYJ9b+INs7tDq9nY2tsykGJ4oDcOroQPmB+0kZyQcDHQ59bWxsUUIlnEABgARjAFSgADAGAOwrzsv4crYPHQxNXEyqciaSa7q3WT/qx81nWe0s2xWIq08PGkqs5T5Y7RvJy5VotFsvIKKKK+pPnTzu/wD2TP2btT/aAt/2qNQ+DmizfEK1s/stv4qe3JuUi8tovXaW8tmTeRu2nbnAAr0BbW1RgyW0YI6EIKkoqIU6dO/Kkru7t1fd+Z04jGYvFqCr1JT5IqMeZt8sVtFX2iruyWiCiiirOYKKKKAPDP2pPh3/AMJv4nTTF0mQNrmhNpLX1spMhR2kymTlRt8xmHHck5Ar3GCIQwJCDkIgXn2FOorzcHl0cJjK+I5ruq07drK3zOmtiXWo06drct/ncKKKK9I5grwnRPh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", "info": {"equation": "5+3*3=14", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "3d33ee51c4f6c65ab62b575f265c3f2b77524dead4974517b75764ed5e604f42"} +{"episode": 26727, "episode_seed": 1243918336, "split": "train", "timestamp": "2025-10-28T03:45:04.905521", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1243918336, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 1, 3, 4])", "action": "('move', [0, 1, 3, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "61+63=124", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 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+63=124", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "f487e7ec18244069624647284853d304467d6500c15a4bb76ad56a9d80479634"} +{"episode": 26728, "episode_seed": 149201577, "split": "train", "timestamp": "2025-10-28T03:45:04.953760", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 149201577, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 5])", "action": "('move', [0, 1, 2, 5])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "6+9*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": "6+9*3=33", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "146acd9ac7531efa40dfc38d83e0fbd1190190d5d677c6d2f50b64ccfd736fa3"} +{"episode": 26729, "episode_seed": 3035174385, "split": "train", "timestamp": "2025-10-28T03:45:04.991220", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3035174385, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 2, 8])", "action": "('move', [1, 1, 2, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "26*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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", 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", 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", "info": {"equation": "26*0=0", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "92e13c005c4cd6c6885e1cb2f02e5beeed4d705197dc33df7e7180429a235213"} +{"episode": 26730, "episode_seed": 2083757923, "split": "train", "timestamp": "2025-10-28T03:45:05.032294", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2083757923, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 4, 0])", "action": "('move', [2, 8, 4, 0])", "reward": 0.0, "image": 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", 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", "info": {"equation": "34/17=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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", "info": {"equation": "34/17=2", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "92fd57433de51df1e794fe9492ac1291c92865e1d87f9801d461929fabed7cf7"} +{"episode": 26731, "episode_seed": 2137816562, "split": "train", "timestamp": "2025-10-28T03:45:05.098891", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2137816562, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [9, 6, 5, 8])", "action": "('move', [9, 6, 5, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "16+10*9=106", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "16+10*9=106", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "e5a686ae7efa7dfc9fa65f6e818857a3189e54d5e1477b3f5b02f2484a308af4"} +{"episode": 26732, "episode_seed": 4238084311, "split": "train", "timestamp": "2025-10-28T03:45:05.174130", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4238084311, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 5])", "action": "('move', [4, 6, 0, 5])", "reward": 0.0, "image": 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", "info": {"equation": "92+10=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": "92+10=102", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "83bc6db483d9d8c902f79de80683e635239f8d933fbabf3dc5d7862af8c8d674"} +{"episode": 26733, "episode_seed": 890216468, "split": "train", "timestamp": "2025-10-28T03:45:05.247377", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 890216468, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 2, 7])", "action": "('move', [8, 5, 2, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "81+92=173", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 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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91Hmaco3nJq9tXT/4JcPNH+yXa6VprSP4Z03xRrVl4EleNQr6FFfzJZ+WV/1kIjG2N+d8ao2WBDH6JrzP9jnRtJ8Ofs0eE/D2gadDZ2FhZSW1laW6BY4IY55ESNQOiqoAA9BXplff5ZFwy6jFu9ox1+SPyTPMZDMM5xGJjHlU5ydvVvfz7+YV8lf8Fx/EfxY8L/8ABMn4kah8IJb2O8ltba31abT490kely3Ecd4eOVQws4dh0RmPAyR9a1w/7TVjaan+zf8AEDTdQt1mt7jwTqsU8Tjh0a0lDKfYgkVePputgqtNO14tX7aGvDmZ08m4gwmPnTVSNGpCbi9pKMk7fOx+ZH/BqlrHxMl8B/FzQb6K5/4Q2DV9Nn0yRoAIf7TeKVbkK+MlvJS0LLngbDxu5/W+vnT/AIJ3/CD4Y/A3w74y+Hvwh8E2Xh/RYdft549OsFbYJJLOEu5LEsxJxySeAB0AFfRdebw1BwyOgr30v97b/A+g8S+IsNxZxxjM1oUvZQqSVo6X92MY3dtOaVuaVr6t6vc+Ov8AgvN4k+LHhj/gmT48u/hLLexSXD2dr4gm0+PMiaVLOqXOSOVRlIRyP4HbPBJr8yv+CJXjb4har4B+K/gbWPEt3N4Z0XwdeXGiafLODFZXM4H2l4x1TeIoCf4cpnruz+9nijwx4e8a+GtQ8HeLdHt9R0rVrKWz1Kwu4w8VzBKhSSN1PVWViCPQ18nftA/Ar4Q/s4+EtO+FHwO8A2Hhvw9ZeAvEkttpenIQivJLau7ksSzMWPUknoOgArwuLcrq1E8cqloxik49/eX4a39Uvl9Hw3x3gcH4d4jhWWFTq1qyqKrpokot+fMuTlVtOWctVa0vVP2QvHepeO9JGp2Xjp/EujnS4li1j+0FukmlTCZEqfIzHa27HccjOa9rqvpKJHpdusaBR5CcAY7CrFfVZXgp5fg1RnUc3du731d+7/M/KsVXjiKzmo8q7I5n4033jfS/g54s1P4Z2zzeJLfwzfy+H4Y4RIz3y27mBQrcMTIEGDwelfzr/wDBJD4t/EPw7+3Pdap4j+NWqeFI/EGnakfG+uSazFZTTthpgJZrgHDtdCMkfeJz2zX9J1eU/Aj4Q/sc+BviV4/8Q/s8+HvBsHirV9YWT4jP4fu4proXpeVwt0iuxgcu0zbCFySxxnNeZnmTVs0xFGVOt7Plv669VqtdNddj9M4H46wfDHCec5ZVwftni4RipWVoWbXvt30XNzQt9tLvdfC3xw0b4Iavolx8dfht44s/GnxXtPE+h/8ACJeKv7ZttX1casl0iWNlEwJCxuDMGgUBWRppGBKl1/T+vjn48/A74Q69+3dp3xr1n4fadc+K9C1jwra6PrkqMZrSF7wblQZ2jPmPzjPzHBr7Grm4Yws8JVxUJTc2p2u+tlv11d9fQ+Y4izWnjsuwVGLk3CMm3LpzcqVOOr9yChePw6ylaK3ZX84v7cnxd/aV8Mf8FqvFPjTVPGesaD4o0n4kiw8Paj5q20lnpBkENr5Zb5EiazkU5PysJWZvvNX9HVfG/wAZfgj8Jdb/AG+Lb44ax4A0+58W6V4j8OWWm67MjNNb27eXuRRnaM+Y4zjOGIzVcV4eVfC0VGbj+8itPPS/qt0fUeFXG2C4Kx2Oq4nCquq2HnTSdtG7Ozv9iW01va2jtYxPC3jH4e/EHxSNH0b9pSXx1qj2s0On2Fx4wttRlhR8CRoooQGyQFycHgCvtDwXoKeFfB2k+F43dl03TILVWkILERxqmTjjPHatBLa3jbdHbop9VQCn12ZPktTK6tSpUrOpKdtX5X83fc/OcZjY4qEYxgoqN9vP5IK8r/aj+FH7H/xRsvC8X7XOieD7uCx8RxP4T/4S29igU6kwOyOEyOvmu4H+q+YPtGVOBj1Svw2/4OjPFHxdH7VngHwzqd1fxeDbXwZ9s8OKFKwNqLXMq3bqw+9IqJaA91BXGN3O+eY+GXZdKtKHOrpWe2r6/wBb2PtvCvhTEcZ8Z0cuo4p4aTjOXtI35lyxekbNXb2eq93mfSx+4v2S1DbhbR5z12CpK/N79jv9pa+1z4J/D7xL8Tv219Qu/F2oeH7RtW0bUfHdkfNupY9vlvAAH3HcPlzu3Y719/8Awnu9cvfAOn3PiFpGuWRvnmzvZNx2ls8524+tcuVcRYbN8S6NKnJWV7u3dK2jfc+UzfJa2T16lKpOMuSbheLunZtXXk7aHRUUUV9CeKePf8FBPEHxW8KfsR/FLxJ8D3vE8V2Xgq+l0aTTo99xHIIjl4h13qm5lxyCARk4r8nf+DWbW/ien7TvxI0PTEun8I3PguK416QQBol1BLtBZ7nPKuY5L3A/iAYn7tft9fsVsZmU8iJiPyNfI/8AwTA+CXwl+Cd/rNp8J/ANhoMet+DtD1DVhYq2bq6ZroGRyxJJ9ugycAZNfMZpQlLiHBT5mvj09Ff8b2fkfqfDHGuDyfw4zjIqmGU54l03Gemlmvi6+7bmhbaTb06/XtFFFfTn5YFfzt/sceOv2pdT/wCC8WkeI9fTVpfHN58Vru18WxXFoDLHYb5IrxGQ8JFHaBwMcIiLt6Cv6JK+PPCXwT+Eum/8FF7j472PgHT4/GOo+NrywvfEIRjcS2y6C4EfJ2gYRBkAE7Rk18xxHQdWtg5KTX72K08+vyt+J+p+G/GuD4TwGcUK+GVV4rDyhFu3uvVWd/sPmvJLVuMdOq+w6KKK+nPyw/mr/Z2+NH7Rehf8FZpvGHxH+J+teFPFWseOb2w+IGqyX0djNDbGZhdQyNJ8kSKsYAU8L5aBeVWv0a/aI0b9lf4o/Dfxf8R/GXxesvHfiLQ/CUv9ka9f+JbbVdQ0V0YyWpslQ4hla78rbtXdLJsjO4EIfuTwh8I/2O9I/ak8UfEnwV4f8HJ8XL/SYk8Wz2V3E2rfYysOxp4Q5aNGCQfOVXdhMk8V4Z/wUR+Bvwg+JXxc0vxf49+HunarqfhTwc954du7uNibCc3RPmIAQpOUQjcDgqCMV+ZZlw7icFgKlWWJbjzfCr2d5JXevxdXpv1P33iPxKwHE/FWAxlPCSwqo0IRfIkpPlTlyx1ivZvSMW27Q97lfwn1T8JbzxjqPwq8M6h8RbZofEE/h+yk12FowhjvGgQzKVHCkSFhgcCugoor9MiuWKR+DVqiq1ZTSSu27LZX6LyR+eX7Y/xPn8MeP/2lr/4k/EG70a80bw3ZDwh57xRtbaYdKDWs9mj8Sl9TkvE3YO6VFj5wFrS+F/xT8JeNLbwzB4p/asl8V6+1pBL/AGDf+N7O7H29rfEhSCLBLrulAAzgE8V9f/En9mH9n/4wfEfwt8Xvid8J9I1rxL4KnM3hbWL2AtNp8hZX3IQcHDKrLuB2sMjB5ruFtbVG3pbRgjoQgr4vEcKYvEYqvU+tOMajbsk3dPo9Vtst9D7HHcR5VVwOHhQw/wC8jGPO2opJxhGC5GrtqXK5ybSfNK1nbmlzfwW8JHwP8LdG8MsZd0FsXYT43hpHaQg4AxguRj2rqKKK+woUlQoxpr7KS+5WPjJyc5uXcKxfiRpY1z4fa5oj6ct4t5pNxBJauDiZXjZWTjnkEjitqinVh7WlKF7XTX3hCXJJS7HmP7MfhNtE0PWPEUgmVtZ1FJNsowMRQpECvGcHb7816dRRXPl+DWAwVPDp35Va/c0xFZ4ivKpa1wrxr9qrwK/ja603Thpbsb7TrvTFvIFJkRbjYHQdQPuKwyP4T2Br2Wis80wCzPBSw7lyp219Gn+hWFxDwtdVEr2v+Qy2hFvbx26kkIgUE+wxT6KK9A5zmfjTfeN9L+DnizU/hnbPN4kt/DN/L4fhjhEjPfLbuYFCtwxMgQYPB6V/O3/wSN+M/wATvDP7bl9L4g+Ous+ErPxJZahL481V9djsnupVWSVDPJccGT7Sw/28uw6Fq/pKrgvhb+y5+z18E/GXin4hfCn4SaNoWteNr4XninUbG2xJqM++R975JA+aWRsLgEuTjNfO53kuIzWvRnSrOnyX2vfXqrNa9N9j9Q4J4+y/hXhXN8qr4RVZYyEYxlpaLV0+a+tlfmjbaaXe6+fPgJH4N+LPjW0bwt8XZPGk9vrtje6pqy6/BqM8YtpVmijkeL5UT92QAQCdzYOTx9gU2OGGHPlRKueu1cU6urJsqllVKcZVXUcndt+iXd/mfneMxaxc4tR5UlawV+Yn7R3xi17wn4J+MfiHxF8Vr3QvH1r8bDaabJNcwQXVmF1G3TSY4Ul+VYX05IZQ5GCjTSE8MR+ndcHq37L/AOz7rvx40/8Aae1j4TaPcePtL002Gn+KJLfNzDbkSKUBzjO2WRdxG4K5GccVnnuU1s2o04U6nI4yTv8A11XQ9zhjOMsyirUljaXtE0mklF3lF3UJc21Oe07Xa0dpWs/m74YfGnSdR8TvoXgP9rC88YahcgG30t/GVtqEmEbO5I4QG9M9RjrX2TaNcPaxNdIFlMamRVPAbHIH40qW1vG26O3RT6qgFPp5RlNfLJTlVryquVt+lr92+54uMxdPEqKjTUbdv+GQVwnxx/Zj+AP7S1votp8efhTpHimPw7qi6joqarAXFrcgY3rgjIIxlTlWwMg4Fd3RXsThCpFxmk12ephhcVisFXVfD1HCa2lFuLXTRqzWmhH9ktQ24W0ec9dgqSiirMAooooAivVkezlSGNXcxMERjwxxwD7V5B+y14ATw5qer65HYTWiLp9ppUNqykJGlu0zBRkZyPN2nnsO9eyUV5+IwCxGPo4lyt7Pm078yt+B0U8Q6eHnSt8VtfR3CiiivQOcK8X0v4fm6/adOtnTJLYWGpzaozQqdkzPZvahmJznKydscp7EV7RRXn47ALHToycrezmp+tr6HRQxDoKaSvzJr7wooor0DnP5q/2dvjR+0XoX/BWabxh8R/ifrXhTxVrHjm9sPiBqsl9HYzQ2xmYXUMjSfJEirGAFPC+WgXlVr9ePAE3gT41a1deFtA+PU3jnUtQtktbiZvFFvqNzZ2xfB2iIYjTLEksMZ719P+Hv2Xv2fPCnxv1v9pLw78JdHtPHXiOyW01vxNFb/wCk3cIEY2sc4GRDFkgAtsGScV3UdvBEd0UKKfVVAr4WnwhitYzxT5XK/Kk2nre71Sv8nr3P13xE8Scu4zzDDYnC4JUfZUIU3tur3tZfBG9ore29r2T6KKK+6PyIKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACvH/wBs39ur9nL9gj4faf8AEn9o7xRfWNjq2qGw0y10jRrjULu5lWGSeVkgt0aQpFBDLNI+NqJGzEivYK+B/wDgtx4c+JegeIvg3+0f4P8Agt4r8e6R4PXxro2uaH4L0STUr5Jtb8M3en2U32ePLGL7SUid+kaz7jwDQB90+FfFHh7xx4X03xr4R1iDUdJ1iwhvdL1C1fdFc28qCSOVD3VkZWB9DV+vIv8Agn/8JvGfwG/YW+DnwT+IsezX/Cfww0LSdbi3hvKu7ewhiljyOCFdWXPfbXrtABXM/Gb4veBvgF8Ktf8AjP8AEu/uLbQfDemyX2pzWljLcyiJBkiOKJWeRycBVUEkkAV01ch8fviBpXwr+Cfin4h63omtala6TolxPPYeHNGm1G+nAQjbBbQK0kznPCKCTQBF+zt8fPhz+1J8DvC/7Q/wivrq58M+L9Ii1LRJ72ze3leCT7peN/mQ8dDzXaV8i/8ABCnXtSvf+CWvwo8G+IPh94t8Max4P8Px6Drmk+MvC91pN0l3Aqs5SK5RGki/eDbKBtYhgDkHH11QAUkkiRRtLIwCqCWJ7ClpJHEcbSMCQoJIAyTQB4l+yV/wUK/Zj/bX8R+LfB3wM8Raw+reCpbb+29L8QeG7zS7j7PchzbXkUd1GjTW0wjkMcygq2047Z9ur4C/4JD/ABZ1D9p79qD49/tYfFf4QfEbwd458VXljpemaD4x+HuoaRaaR4V06W5h023iubmJI7u5maS4u5/LJCG4RBwmT9+0AFFFFAHiN1/wUK/Zo0/9sey/YW1LWddtfHepxTHS2uvC95Hpd9PDareS2kN+0Yt5bhLdllaJXLKp5weK9ur89vjPp3in4m/8F0fg74p+F3wf+Lkd74Bt9asviHrXiXSrj/hDI9Cm0hzBd6bLIWtxeyXcsMJeDbMVjkSQbVFfoTQAUUUUAeWftYftl/AL9irwn4d8ZftAeKpdMtPFfjGw8L6CltZvcS3epXjlYYlRATj5WZm6KqkmvU6/L7/g4P8Agl+2x8SfE3gL4gfAv9l5fib4U8Jy6M1nDaeJha3Wla5J4n0uV7j7KsEslwrW1oluZhtW2iubmVtyqy1+nenTXtxp8E+o2a29w8KtPbrLvETkAsobA3YORnAzigCaiiigDzT9rD9q74V/safCgfGL4vW2vXGmya1ZaTa2XhjQJ9Uv7u8u5hDBDDbW6tJK7uwUBQTzXU/CT4l6P8ZPhponxT8P6Jrem2Wu6el3bWHiTRptOv4EYcJPbTqskDjujgEV4V/wVh8IfCHxl+yh9k+OPg74u6x4fsfFemajIfgfa3EviGxuLeUy291CLb9+qpMseXh+dSVPChiNT/glMv7Saf8ABO/4Tr+142sn4hf8Iwv9vHxI2dS2+dJ9m+1nr9p+zeR5uefM355zQB9B0UUUAVtZ1jSvD2kXfiDXdQhtLGxtpLi8u7iQLHDEilndmPAUKCSewFeXfsg/tsfAf9uTwJffEn9n+/1u50iyvxbrc634au9N+1o0ayRXVuLmNDPbSowaOZMo4zg8EVd/bW+Gvi/4z/sb/Fn4P/D4j+3vFXw013SNEy+0G7udPnhhGT0+d15r4/8A+Dejw1+0P4R+C3jfw98TdN+LNj4Lsbjw9aeCtO+MqzrqlrfRaHax63HAtx+8SwXUFdYFH7oKreX8mKAP0NooooAK+fPhH/wUu/Z5+Mn7WWqfsWaJ4a+IOkeONMsdRvvK8U/D7UNMs721srlLae4trm4jWO4i8yRAskZKuGBBORX0HXyh+zn4H8Z/Eb/gqh8fP2m/GnhPVLDSfCfhfw/8N/h/dalp8sCXsCo+rapc25kUCWJrm7t4fMTKlrMjOVNAH1fRRRQAV4F8av8Agph+yR+z9+1D4Z/ZB+JfjPU7bxj4ofT0tVtfD91cWNk9/PJb2CXd3GhitWuZopI4hIwLspAr32vyg/4KR/Bv44+Kv+CzXw/8b+HfgT461eaPUPh23gHWdA0KSbwzLa2mtX82vvrsqjyvNtrWWOW0M53Ru+6H5iaAP1fooooA/9k=", "info": {"equation": "81+92=173", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "8cf193f413556d2c91049a1f8a71e9b9a80ce694a0fca9bd2b34b3947b08e034"} +{"episode": 26734, "episode_seed": 3547442092, "split": "train", "timestamp": "2025-10-28T03:45:05.307910", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3547442092, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 5])", "action": "('move', [0, 5, 1, 5])", "reward": 0.0, "image": 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", 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", 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tjO4YfMpXcvIFe+UdetfW16TrUJU07cyaut1dbr0Pmcpx0MszWhjJU1UVKcZuEvhkoyT5ZeUrWfkz+Xz/AIJZ/Evxv8Ov21fC154W+J934UtNWeSy8T6xbalDakaawEsoaaYFUBaKM56kqAOTg/rzrVp+zR8e/EWjaX8S/jrp/wAT59PuJJtC8PeJ/GNpqlulw0ZDTJZrhJZRHvAZlfarPjGSa+nf2WfgZ+wL8MvGPjLVP2RPDPgG31u6vFi8anwlfw3M1vL5krLDMqSP9m+cS/u8IMoePkGOU/4KQfBX4UfHDQ/h74B+LXgOx13RpPGM872F2GVDJHpV8UbKFWyCT3r83xPDWKwWT1KjxTcUm+VX5Xr6/fpuftXH3iRgeM+OqONo4aeEUYRg5WXttm27JxvpLliudXju0nZc9/wSJEemfDz4j+Dfh+zv8L9D+I91bfDCSNFNqLRoYpb2K0lXPn26ag92iPlhwQGOOPrmvGP2BfCvhvwL+zdaeC/Buh22maTpXiXXbXTdPs49kVvCmq3QVFHYAfiepyTXs9fc5LTdPKKEW7+5H8Vf8NkfkPEuPhmme18TCNlKXXd2SXNJ9ZztzTfWTbCiiuI+NXxDh8KaG+g2Mjf2jqEJWHaB+7QnDOf1A9/pXTjsZRy/Cyr1XZRX39kvN7HkUKM8RVVOG7PEf2qviL4n8beKLH4efDO5H9ueIdSGheFmCI4hkZWe5vijSKHSCGOac4PzCJF6sAfoX4V/DTwp8HPhzovwu8EWAt9L0PT47W0QAbmCj5pHI+87tudm6szMx5Jrw79jHwFL428c63+0tr1my2sH2jw74GilKnbaRTBb28CmMMhnuIQi/McxW0bDAc5+ka8bhzCVVRnjq/8AErPmflHovu/TsduZVYc6oU/hhp8+rCiiivpDzT4y/wCC9/i/45+DP+CbfivUPgZNqMMlzf2tp4qutLi3SwaNIXW5JI+ZEJ8tHZeiO2cKWI/IT/gi38Y/Hvw+/aYufB1n8ddS8FeD9Y0iefxRLa67DYQyvDG/2Ys82V3CSQAbfmIYjpnH9H2t6Xo2t6LeaL4isLa60+8tZIL+1vI1eGaF1Kujq3DKVJBB4IJzXkn7G/we/Yb+F3grVoP2INH8ELod7qgbWbnwbqkV/HJdLGuEkmSSQ7lRlIQt8ofIA3kn5TOMhxGY5nTr06/s7K3W6/w6re+up+18J+JWByHwwzHh6rl/tZ1pXVSy5VzJJe0bTfNDlvT317Wu/lLXvDH7JHx78QDUviz8VdC+KN5puj3UdtF4w8XWuqJplmwBupIogwSAEBN8+0MAifOu0V73/wAEl77xJdfsdWNjfy3k3h3TfEmrWPw7ur63WN5/DcN06ac4xjfH5IARz96NUOSCGON/wUK/Z3+CH7QPxZ+HXh340fDPTfEVjYaHrtzZ218HCxSm40pS42MpPykjByOelexfsYWlrYfsp+AbCxto4IIPDVvFBBCgVI0VcKqqOFAAAAHAArgyHA1MHxHiKc6rm4xV2+t7PXV7bLU+PzHO6NfhClhFzSlKd+WVuSko8+lPVu8+a8vdgla1pXuvTqKKK+6PhDxL46fA39gbx1+0F4O8bftB+G/ANx8SbVoV8Fv4g1CGLUZzHMXiWGFpFNxtlJKja+GJxya9pNnaE5NrH/3wK/mQ/wCCr/xA/aF1L/gpJ8SNc+MWq6xaa9oXi+eDwy826CSy0uGdm05rfbjYnkmOVWX7zOXzuYmv1N/Zu/aSn8QfAjwV4p+MP7eOp2/iq88PWdz4gtJ/iFp8Oy6ZAzq0QX5Oeq9unFfDQ4wweHxVaE6DVpWvFK7tpeW2v3n7lx74W5jw3wxlOOqZiq6rQ0g27U7pTtS1d4a6tKOtnb3tP0lVVQbVUADoAKWvKv2bfF/iPxkL3WZdabU9JuoEuLW/E/mxSM/zAxOMqyspz8pxjbjrz6rX1WWY+GZ4OOIjFxTvo/J2PxXFYeWFrOm3ewUUUV3nOFfzWf8ABcfxd8cvE3/BST4gWHxtl1FY9JvxaeELa9i2RRaMButjAB8pRwzOWH3nZ8/NkD+lOviT/goR+zj8Cvjf+0Le+I/i58L9L8QXvh34ZWcuizaijt9lc3WpuSFDBWBaNDhgR8vTk5+S40pOeT8/NblknbvfT9bn674Mcc4HgPimeMxWH9rGdOUNLc0XdO8b6WduWW2jvraz9q/4Jqa/8Y/FH7Bvws174/W93F4suPCcB1IX9qIZ2QFhA8iDG12gETHIBJYkgEkV7jXOfB5i3wk8LMxyT4csSSf+vdK6Ovp8PB0sPCDd7JK73dlufmGaYyOYZnXxUaapqpOUlGPwx5pN8sfJXsvJBX8qHxt+Mf7VWnftoa98YfiL4o13S/izp3jB5rq+l/cXljfxSbERV6IqBVRUHyBAFGVr+q+vEtf+Bv7A+pfth6d8T/EfhvwC/wAbVtFl057nUIRrMkSQOizLbGTdIVhVwJNhIVOCAgx4fEOUVc2hSUKvJyy69b9vNdPV6n6t4P8AiLgvD+vmE8RgXifbUrKyV48t3aV9qUr/ALx6/DF2Z8qXvj/4P/FH4XQeDfjj+2hNrVlquk26eJ9A1L4m2a212xRGmgmEJQmMuGVkDAMuVOQSD0n7GPhXwd8L/wDgope+Dv2a/D9hpfh/U/ho9z8UtK8O2EKWFrexXES6PJJ5YxBcSRSX2EG3fGgcqc7z9P8A7a/h/RNb/ZH+I2i6tpUE9peeEb2C6geMbZI3iKspx2Kkj8a8o/4J7fAf4Ofs9/FPx54O+Cfw707w3plz4f0W6ubXTkbEsxudUXezOzMx2qoGTwBxivnoZViMDxJhYVMRKo2pO7vfRPTVvR9T5zBcQYeHD+NjyyXOnFUlb2V52TnLX4oWTglB+9GLcly2f1ZRRRX6Gfnx+Ev/AAc8+Lvjjdftd+GvBPiqfUY/Adr4WjuvCVu0e20mumZlvJFI4klBEStnlVK8ANlvS/8Agkp+0V4p1T9j6wsfjT+2frPh9tJ1abTvDOlzeOLOzMOlRRQrEqxygvsD+cqlv4VAHyha/VD9ob9lj9nr9q/wxZ+Df2ifhRpXivTdOvftdjb6kjZt5tjIXRkKsuVYggHB4yDgY6/w94S8L+EtAsfCvhjw/Z2Gm6ZZxWmn2NrbqkVtBGoSONFAwqqoAAHQCvjMTwxja+Z1cTDEuCl2vf0eq0XQ/a818VMqzDwxwHDEcAlVoSu5vl5dL+9HRvnne827a33vp8tfs/eGPB3xN1rQbjwR4xGvWGneI/7VutastTjvPtF0kjzSNNMmVLPI5LYwctxivrWmxxxxLtijVR6KMU6vbyXKf7Iw8qbqOblJybatvbzfbufkGNxf1yopctklawV4H/wVF8VfG/wR+wB8UfFX7Ob6gni+y8O79Om0mHfcwQmaMXUsQ6h0tjO4YfMpXcvIFe+UdetenXpOtQlTTtzJq63V1uvQ0ynHQyzNaGMlTVRUpxm4S+GSjJPll5StZ+TP5gv+CV3xb+I/w0/bJ8OReEPi9qPhHTdela08XajaavHaLJp4BlfzJJvkGGRSCfmzwOTg/sn4b+Ivwx8XeKdPtP8AhqY+M9RikkbSNM1DxtaXzRymJ1aSKKLDF/KaRc84Vm47j6d+B37Gf7LP7NXiHXvFfwI+Bug+GNQ8TSBtbutMtSrXGHZwo3EiNNzsdibV6cfKMekra2qMGS2jBHQhBXw1Hg3Gxw3spYtpO94pNx/9KXz0P1TxQ8Tcs464ljmOEwXs4xhGF5cvPJq7bdk1pfljq9Enpey4z9njwS3gH4XW2jyCcPdahfahIlyAGRrq6luCuMDABkwAecYzk129FFfb4WgsLhoUU7qKS+5WPx+rUdWrKb6tsK5H4jfCLS/iHqFrqVxqctrJAvlymKMN5keScc9CCTg8jk8GuuoqcXg8NjqDo1480X09PQdGtVoT56bsyOztILC0isbWMJFDGscajsoGAPyFSUUV0JKKsjJtt3YUUUUwPjL/AIL3+L/jn4M/4Jt+K9Q+Bk2owyXN/a2niq60uLdLBo0hdbkkj5kQny0dl6I7ZwpYj8hP+CLfxj8e/D79pi58HWfx11LwV4P1jSJ5/FEtrrsNhDK8Mb/ZizzZXcJJABt+YhiOmcf0gaxpGleINJutB17TYL2xvrZ7e9s7qISRTxOpV43VshlZSQQeCCRXA/s9fsj/ALNn7KOg6h4Z/Z4+D2keFbLVbtbrUotPiYm4lVQil3kZmIA6DOBliACxz8rm/D+KzLMYYmnXcElbS916Wa3vrqvmfs/CvihlfD/hrmHDVbAqpUxEm4z05feUVed9eany3p2vrba138y+BPHXw98ZeL4f7H/aIPjvW4rSSOxt7rxbbajPbws8bSiKOHBAZo4dxwfuJ07/AFx8E/BKfDj4SeHvA0ckzDTNKihzcEb+BznAAzz6V0qW1vE26OBFPqqgU+unJ8inlmJqV6lZ1JSSV2u3nd3PynGY+OKpxhGCil2/4ZBRRRX0J5x5l8Uf2NP2WvjV8V9C+OXxW+B+g674t8NeV/YmuX9sWmtvKkMsY4IDhJCWUOGAJOMZr0k2doTk2sf/AHwKkoqI0qcJOUYpN76b+vc6q+OxuKpU6VarKUaatFOTait7RTdoq+tlYRVVBtVQAOgApaKKs5QooooAK8I/aY8ESa/45aSLQ383V9CXTBeW6MXlQNMQncZUzSMOP4iTkV7vRXl5vlizbBPDufKm0777HVg8U8JW9olczvCGhR+FvCel+GYpHddO06C1V3ILMI41QE44zx2rRoor00rKxzN3YV/Kh8bfjH+1Vp37aGvfGH4i+KNd0v4s6d4wea6vpf3F5Y38UmxEVeiKgVUVB8gQBRla/qvrzLVv2NP2W9e/aCtf2qtY+B+g3HxCs0VbfxTLbE3C7YjErEZ2s6xnaHKlgAuCNox8/wAQZNXziFJU6nJyO/X79Oq6er1R+v8AhH4lZb4c18dPGYP26r01FbXTV/dd/wDl3O/v2u/dj7rPkPR/jH8O/EfgqwsPiZ+25NqTXelwDXtH1L4jWDW9xI0amaGRExlC24FQRxxmvqf9l/wabbXde+JLtNnVbCysY9wHlukElzJvXjJybkgnJHyj0NevfYrP/n0i/wC/YqQADgCufAcN1sJmEMVWxMqjinZNd1bdyZ+bYvNIYijKnCkoKTvptvfawUUUV9SeQFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRUGq2kuoaZc2ENy0LzwPGkydYyykBh7jOaAPnj9nf/gq7+xF+1L+0Jqf7Mvwb+J13feJbBb5rGS60K6trDW1spvJvDp13KghvRBIdsnlM23k8gE19HV+Kn/BK39m/wDaZsP2if2Qv2ePGP7N/jjwpefsk2XxIj+KHi7W/D8ttpF+2q3My2K6deN8l+LgSrK3lk7QDu6V+1dABRRRQAV4b+2z/wAFE/2YP+CfmleHNW/aS8RavZJ4q1P7DpEej+Hrm/YvvijLyGFGWGMPNCu9yoLSKBknFe5V+ff/AAcf+LdWl/YNi+Cng/4R+P8Axd4g8V+LtGvNNtvA/ga+1hYYdO1axurk3D2sbi3/AHQYpvx5hVgucHAB+gasGUMOhGRS1zXwd+Jui/Gb4X6H8U/Dmi63ptjrunpdWtj4k0WbTr+BG6LPbTqskL8co4BFdLQAUUUUAUPFXifQ/BPhfUvGfie/FrpmkWE17qN0yMwhgiQySPhQScKpOACeOBXh/wCyB/wUy/ZS/be8ceJPhh8Fde8QW3ibwrZwX2q+HfF3hK+0a9+wznEN5HDeRRtJA/GJAMfMvqM+1eOfFMHgbwTrHja60i/1CLR9KuL6Sw0q0ae6uVijaQxQxLzJIwXaqDlmIA61+cv/AARm+KOsftV/tl/Fj9tb9oz4N/E3wf8AFnxnoCabo/hrxR8MtT0nSvCvhKyuwLXT0vrqFIr29lklFxKVPchFCo1AH6X0UUUAFFFFAHzv+2b/AMFRf2TP2CdestD/AGi9W8U2aXFnFeX+q6N4J1DUbDR7WWfyI5766t4WitEaQFV8xgTtOBX0DpupWGs6db6vpd2k9rdQJNbTxnKyRsAysD3BBBr8yv8Ag4vsLj45/C6L9m/wP8Cv2g9e+JEVlb3/AMMpfh7ot3ceE9Yv5r6DNtrGwm0lSH7KjlL1QqrKTGTuav0k+HsXieDwBocHjW3tYtZTR7ZdXislAhS6ES+asYHAQPuAx2xQBsUUUUAFBIUFmIAA5JorxP8A4KN+EP2lviF+xH8Rfh/+yFFC/wAQte0BtO0PztUSxKrPIkVwyXDgrBKLdpikhB2vtODjFAC/sa/8FBf2X/2+YvG93+zD41uNdtfh/wCLJvDuv3r6dJDC15GMkwO4AmjI5Ei8EEEda9rr8yv+DfX4WftJfBP4t/tM+A/it+xL/wAKg8LyePdPl8PWq+IzfW8bQ6ZbWotLWT7NCL2FYokc3ifKzsybdykn9NaACiiigAr5z+JX/BUD9nX4Z/tVTfscXPhD4la74ys30oaqfCXw21LVbDTF1EkWsl1dW0TRWyMA5LyEACNyThTj6Mr8lv8Agqh4A+IWlft2v4//AGFPAn7TOl/tE694v8IQQ63oNrdx+ANW0W2Cic38sX+iSQxwS3SOtyfMWTOwbWyQD9aaKKKACiiigDkPj58evhL+zB8Hdf8Aj58dfGlr4e8J+GLA3es6td5KQx5CgAKCzszMqKqgszMAASRXP/spftcfCb9sj4eT/Ej4SWfiWztbS/NneWHi7wpeaNfQSeWkilre7jSTY0ciOrgFWDAg187/APBwT+zt8Yv2mP8AgmX4n8E/A7QdY1bW9K8R6HrsmkeHRu1C8tLLUIZ51tl/jnWNWkRP4mjAAJIFUf8Aghtb/tBx/Dr4sXPxEn+LDfDef4nTN8FB8cHum8SjRvs0Xmm4+2f6SIjc+b5Yl+bAbHy4oA+5aKKKAP/Z", "info": {"equation": "39/3=13", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 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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tjO4YfMpXcvIFe+UdetfW16TrUJU07cyaut1dbr0Pmcpx0MszWhjJU1UVKcZuEvhkoyT5ZeUrWfkz+Xz/AIJZ/Evxv8Ov21fC154W+J934UtNWeSy8T6xbalDakaawEsoaaYFUBaKM56kqAOTg/rzrVp+zR8e/EWjaX8S/jrp/wAT59PuJJtC8PeJ/GNpqlulw0ZDTJZrhJZRHvAZlfarPjGSa+nf2WfgZ+wL8MvGPjLVP2RPDPgG31u6vFi8anwlfw3M1vL5krLDMqSP9m+cS/u8IMoePkGOU/4KQfBX4UfHDQ/h74B+LXgOx13RpPGM872F2GVDJHpV8UbKFWyCT3r83xPDWKwWT1KjxTcUm+VX5Xr6/fpuftXH3iRgeM+OqONo4aeEUYRg5WXttm27JxvpLliudXju0nZc9/wSJEemfDz4j+Dfh+zv8L9D+I91bfDCSNFNqLRoYpb2K0lXPn26ag92iPlhwQGOOPrmvGP2BfCvhvwL+zdaeC/Buh22maTpXiXXbXTdPs49kVvCmq3QVFHYAfiepyTXs9fc5LTdPKKEW7+5H8Vf8NkfkPEuPhmme18TCNlKXXd2SXNJ9ZztzTfWTbCiiuI+NXxDh8KaG+g2Mjf2jqEJWHaB+7QnDOf1A9/pXTjsZRy/Cyr1XZRX39kvN7HkUKM8RVVOG7PEf2qviL4n8beKLH4efDO5H9ueIdSGheFmCI4hkZWe5vijSKHSCGOac4PzCJF6sAfoX4V/DTwp8HPhzovwu8EWAt9L0PT47W0QAbmCj5pHI+87tudm6szMx5Jrw79jHwFL428c63+0tr1my2sH2jw74GilKnbaRTBb28CmMMhnuIQi/McxW0bDAc5+ka8bhzCVVRnjq/8AErPmflHovu/TsduZVYc6oU/hhp8+rCiiivpDzT4y/wCC9/i/45+DP+CbfivUPgZNqMMlzf2tp4qutLi3SwaNIXW5JI+ZEJ8tHZeiO2cKWI/IT/gi38Y/Hvw+/aYufB1n8ddS8FeD9Y0iefxRLa67DYQyvDG/2Ys82V3CSQAbfmIYjpnH9H2t6Xo2t6LeaL4isLa60+8tZIL+1vI1eGaF1Kujq3DKVJBB4IJzXkn7G/we/Yb+F3grVoP2INH8ELod7qgbWbnwbqkV/HJdLGuEkmSSQ7lRlIQt8ofIA3kn5TOMhxGY5nTr06/s7K3W6/w6re+up+18J+JWByHwwzHh6rl/tZ1pXVSy5VzJJe0bTfNDlvT317Wu/lLXvDH7JHx78QDUviz8VdC+KN5puj3UdtF4w8XWuqJplmwBupIogwSAEBN8+0MAifOu0V73/wAEl77xJdfsdWNjfy3k3h3TfEmrWPw7ur63WN5/DcN06ac4xjfH5IARz96NUOSCGON/wUK/Z3+CH7QPxZ+HXh340fDPTfEVjYaHrtzZ218HCxSm40pS42MpPykjByOelexfsYWlrYfsp+AbCxto4IIPDVvFBBCgVI0VcKqqOFAAAAHAArgyHA1MHxHiKc6rm4xV2+t7PXV7bLU+PzHO6NfhClhFzSlKd+WVuSko8+lPVu8+a8vdgla1pXuvTqKKK+6PhDxL46fA39gbx1+0F4O8bftB+G/ANx8SbVoV8Fv4g1CGLUZzHMXiWGFpFNxtlJKja+GJxya9pNnaE5NrH/3wK/mQ/wCCr/xA/aF1L/gpJ8SNc+MWq6xaa9oXi+eDwy826CSy0uGdm05rfbjYnkmOVWX7zOXzuYmv1N/Zu/aSn8QfAjwV4p+MP7eOp2/iq88PWdz4gtJ/iFp8Oy6ZAzq0QX5Oeq9unFfDQ4wweHxVaE6DVpWvFK7tpeW2v3n7lx74W5jw3wxlOOqZiq6rQ0g27U7pTtS1d4a6tKOtnb3tP0lVVQbVUADoAKWvKv2bfF/iPxkL3WZdabU9JuoEuLW/E/mxSM/zAxOMqyspz8pxjbjrz6rX1WWY+GZ4OOIjFxTvo/J2PxXFYeWFrOm3ewUUUV3nOFfzWf8ABcfxd8cvE3/BST4gWHxtl1FY9JvxaeELa9i2RRaMButjAB8pRwzOWH3nZ8/NkD+lOviT/goR+zj8Cvjf+0Le+I/i58L9L8QXvh34ZWcuizaijt9lc3WpuSFDBWBaNDhgR8vTk5+S40pOeT8/NblknbvfT9bn674Mcc4HgPimeMxWH9rGdOUNLc0XdO8b6WduWW2jvraz9q/4Jqa/8Y/FH7Bvws174/W93F4suPCcB1IX9qIZ2QFhA8iDG12gETHIBJYkgEkV7jXOfB5i3wk8LMxyT4csSSf+vdK6Ovp8PB0sPCDd7JK73dlufmGaYyOYZnXxUaapqpOUlGPwx5pN8sfJXsvJBX8qHxt+Mf7VWnftoa98YfiL4o13S/izp3jB5rq+l/cXljfxSbERV6IqBVRUHyBAFGVr+q+vEtf+Bv7A+pfth6d8T/EfhvwC/wAbVtFl057nUIRrMkSQOizLbGTdIVhVwJNhIVOCAgx4fEOUVc2hSUKvJyy69b9vNdPV6n6t4P8AiLgvD+vmE8RgXifbUrKyV48t3aV9qUr/ALx6/DF2Z8qXvj/4P/FH4XQeDfjj+2hNrVlquk26eJ9A1L4m2a212xRGmgmEJQmMuGVkDAMuVOQSD0n7GPhXwd8L/wDgope+Dv2a/D9hpfh/U/ho9z8UtK8O2EKWFrexXES6PJJ5YxBcSRSX2EG3fGgcqc7z9P8A7a/h/RNb/ZH+I2i6tpUE9peeEb2C6geMbZI3iKspx2Kkj8a8o/4J7fAf4Ofs9/FPx54O+Cfw707w3plz4f0W6ubXTkbEsxudUXezOzMx2qoGTwBxivnoZViMDxJhYVMRKo2pO7vfRPTVvR9T5zBcQYeHD+NjyyXOnFUlb2V52TnLX4oWTglB+9GLcly2f1ZRRRX6Gfnx+Ev/AAc8+Lvjjdftd+GvBPiqfUY/Adr4WjuvCVu0e20mumZlvJFI4klBEStnlVK8ANlvS/8Agkp+0V4p1T9j6wsfjT+2frPh9tJ1abTvDOlzeOLOzMOlRRQrEqxygvsD+cqlv4VAHyha/VD9ob9lj9nr9q/wxZ+Df2ifhRpXivTdOvftdjb6kjZt5tjIXRkKsuVYggHB4yDgY6/w94S8L+EtAsfCvhjw/Z2Gm6ZZxWmn2NrbqkVtBGoSONFAwqqoAAHQCvjMTwxja+Z1cTDEuCl2vf0eq0XQ/a818VMqzDwxwHDEcAlVoSu5vl5dL+9HRvnne827a33vp8tfs/eGPB3xN1rQbjwR4xGvWGneI/7VutastTjvPtF0kjzSNNMmVLPI5LYwctxivrWmxxxxLtijVR6KMU6vbyXKf7Iw8qbqOblJybatvbzfbufkGNxf1yopctklawV4H/wVF8VfG/wR+wB8UfFX7Ob6gni+y8O79Om0mHfcwQmaMXUsQ6h0tjO4YfMpXcvIFe+UdetenXpOtQlTTtzJq63V1uvQ0ynHQyzNaGMlTVRUpxm4S+GSjJPll5StZ+TP5gv+CV3xb+I/w0/bJ8OReEPi9qPhHTdela08XajaavHaLJp4BlfzJJvkGGRSCfmzwOTg/sn4b+Ivwx8XeKdPtP8AhqY+M9RikkbSNM1DxtaXzRymJ1aSKKLDF/KaRc84Vm47j6d+B37Gf7LP7NXiHXvFfwI+Bug+GNQ8TSBtbutMtSrXGHZwo3EiNNzsdibV6cfKMekra2qMGS2jBHQhBXw1Hg3Gxw3spYtpO94pNx/9KXz0P1TxQ8Tcs464ljmOEwXs4xhGF5cvPJq7bdk1pfljq9Enpey4z9njwS3gH4XW2jyCcPdahfahIlyAGRrq6luCuMDABkwAecYzk129FFfb4WgsLhoUU7qKS+5WPx+rUdWrKb6tsK5H4jfCLS/iHqFrqVxqctrJAvlymKMN5keScc9CCTg8jk8GuuoqcXg8NjqDo1480X09PQdGtVoT56bsyOztILC0isbWMJFDGscajsoGAPyFSUUV0JKKsjJtt3YUUUUwPjL/AIL3+L/jn4M/4Jt+K9Q+Bk2owyXN/a2niq60uLdLBo0hdbkkj5kQny0dl6I7ZwpYj8hP+CLfxj8e/D79pi58HWfx11LwV4P1jSJ5/FEtrrsNhDK8Mb/ZizzZXcJJABt+YhiOmcf0gaxpGleINJutB17TYL2xvrZ7e9s7qISRTxOpV43VshlZSQQeCCRXA/s9fsj/ALNn7KOg6h4Z/Z4+D2keFbLVbtbrUotPiYm4lVQil3kZmIA6DOBliACxz8rm/D+KzLMYYmnXcElbS916Wa3vrqvmfs/CvihlfD/hrmHDVbAqpUxEm4z05feUVed9eany3p2vrba138y+BPHXw98ZeL4f7H/aIPjvW4rSSOxt7rxbbajPbws8bSiKOHBAZo4dxwfuJ07/AFx8E/BKfDj4SeHvA0ckzDTNKihzcEb+BznAAzz6V0qW1vE26OBFPqqgU+unJ8inlmJqV6lZ1JSSV2u3nd3PynGY+OKpxhGCil2/4ZBRRRX0J5x5l8Uf2NP2WvjV8V9C+OXxW+B+g674t8NeV/YmuX9sWmtvKkMsY4IDhJCWUOGAJOMZr0k2doTk2sf/AHwKkoqI0qcJOUYpN76b+vc6q+OxuKpU6VarKUaatFOTait7RTdoq+tlYRVVBtVQAOgApaKKs5QooooAK8I/aY8ESa/45aSLQ383V9CXTBeW6MXlQNMQncZUzSMOP4iTkV7vRXl5vlizbBPDufKm0777HVg8U8JW9olczvCGhR+FvCel+GYpHddO06C1V3ILMI41QE44zx2rRoor00rKxzN3YV/Kh8bfjH+1Vp37aGvfGH4i+KNd0v4s6d4wea6vpf3F5Y38UmxEVeiKgVUVB8gQBRla/qvrzLVv2NP2W9e/aCtf2qtY+B+g3HxCs0VbfxTLbE3C7YjErEZ2s6xnaHKlgAuCNox8/wAQZNXziFJU6nJyO/X79Oq6er1R+v8AhH4lZb4c18dPGYP26r01FbX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"info": {"equation": "39/3=13", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "188c57752f38b60736df75f6b3b49be55b4a71da4013e5bedd56542d48340d56"} +{"episode": 26735, "episode_seed": 1437118718, "split": "train", "timestamp": "2025-10-28T03:45:05.368861", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1437118718, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 6, 6])", "action": "('move', [5, 5, 6, 6])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "43-5=38", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "43-5=38", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "fba99cc23cbc7aae6fad4574e55dea9608f10fe2838cdc1436762aab85f2f35e"} +{"episode": 26736, "episode_seed": 3622220005, "split": "train", "timestamp": "2025-10-28T03:45:05.430131", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3622220005, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 8, 1, 6])", "action": "('move', [2, 8, 1, 6])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "28/14=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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", "info": {"equation": "28/14=2", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "02636cae366fe79720888419b3f7f16fbb47e1e83fc6f92afd8e6ba04e844ff3"} +{"episode": 26737, "episode_seed": 3507984790, "split": "train", "timestamp": "2025-10-28T03:45:05.491866", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3507984790, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 4])", "action": "('move', [2, 8, 0, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "60/3=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": "60/3=20", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "d1377e2745b0f3d5fba17076eef181c4410b61265da0e7115e8f1fb891642261"} +{"episode": 26738, "episode_seed": 3605290677, "split": "train", "timestamp": "2025-10-28T03:45:05.567054", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3605290677, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 4])", "action": "('move', [0, 4, 1, 4])", "reward": 0.0, "image": 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+8Rmawla+mJdBnaTlEI3A4KgjBr0r/goR8I/hn8ZPhV4e+HvxQ8F2etaLfeM7c3enXQYJIUtbt1yUKtwyg8HtX5njsrr1a+YVI15JQd2ukrrms9emy0Z+2Zx4gZfnWS8P5fTw7oSwsHCVSFubeMXKCvG91Hmaco3nJq9tXT/4JcPNH+yXa6VprSP4Z03xRrVl4EleNQr6FFfzJZ+WV/1kIjG2N+d8ao2WBDH6JrzP9jnRtJ8Ofs0eE/D2gadDZ2FhZSW1laW6BY4IY55ESNQOiqoAA9BXplff5ZFwy6jFu9ox1+SPyTPMZDMM5xGJjHlU5ydvVvfz7+Z+Rv8AwdU+I/ixa+D/AIT+FtPlvU8EXl/qM+qiKP8A0eXU40iFsJGH8Qie4KqeoLkZxxT/AOCeXxQ8N+PP+Cf/AIW8C/tEftZXdpaz6Xc6VdeE7zx3aWMD6Skrww2zxArIsTQKEILAsh5PNfpt+1Z8O/2XPib8Hrrw7+2FYeGJ/BSXkE9y3i2/S1tIrhXxE/nO6CN9zbQQwJ3FeQxBX48+FfB0H7KXjLwxo+h2KaMnw+1C0tbO2iUQC1FjIixoF4CbMAAcY6V83mfD+JxWYVsTDEuCcVor30VrPVaafnofpM/EHCT8N8u4eWD5alCtKfttNdW/de/P765tVZRhrr7vgv8AwTj8OeFvAX7QPxb8CfBjRLLTvBEWn6FeXdho1nFHYW2vyJcpcrGYxgSNaRae8kY+7lGwN/P2DXzp/wAE7/hB8MPgZ4d8ZfD34Q+CbLw/osOv288en2Cts82SyhLuSxLMxwOSTwAOgAr6Lr1eGYOGR0Fe+l/vbf4HwfFeOp5hntWtTu1aMby+KXLCMeaVm7Sla7V5Wvbmlu/jr/gvN4k+LHhj/gmT48u/hLLexSXD2dr4gm0+PMiaVLOqXOSOVRlIRyP4HbPBJr8yv+CJXjb4har4B+K/gbWPEt3N4Z0XwdeXGiafLODFZXM4H2l4x1TeIoCf4cpnruz+9nijwx4e8a+GtQ8HeLdHt9R0rVrKWz1Kwu4w8VzBKhSSN1PVWViCPQ18nftA/Ar4Q/s4+EtO+FHwO8A2Hhvw9ZeAvEkttpenIQivJLau7ksSzMWPUknoOgArwuLcrq1E8cqloxik49/eX4a39Uvl93w3x3gcH4d4jhWWFTq1qyqKrpokot+fMuTlVtOWctVa0vVP2QvHepeO9JGp2Xjp/EujnS4li1j+0FukmlTCZEqfIzHa27HccjOa9rqvpKJHpdusaBR5CcAY7CrFfVZXgp5fg1RnUc3du731d+7/ADPyrFV44is5qPKuyOZ+NN9430v4OeLNT+Gds83iS38M38vh+GOESM98tu5gUK3DEyBBg8HpX86//BJD4t/ELw5+3Rdan4k+NWqeFI/EGm6kfG+tyazFZTTthpgJZrgHDNdCMkfeJJ7Zr+k6vjr9h74G/CH4d/tM65468E/DzTtN1nxZpviG68SajDGxlv5hrFuQzliccuxwuBluleBxLgqmLx2EjCo4NuSuuml7rVa6WP0/gTjjA8NcI51llbCqrLFQioydtLNr3r9Fzc0bbTS73Xgvxw0b4Iavolx8dfht44s/GnxXtPE+h/8ACJeKv7ZttX1casl0iWNlEwJCxuDMGgUBWRppGBKl1/T+vjn48/A74Q69+3dp3xr1n4fadc+K9C1jwra6PrkqMZrSF7wblQZ2jPmPzjPzHBr7Gq+GMLPCVcVCU3NqdrvrZb9dXfX0PleIs1p47LsFRi5NwjJty6c3KlTjq/cgoXj8OspWit2V/OL+3J8Xf2lfDH/BarxT401TxnrGg+KNJ+JIsPD2o+attJZ6QZBDa+WW+RIms5FOT8rCVmb7zV/R1Xxv8Zfgj8Jdb/b4tvjhrHgDT7nxbpXiPw5ZabrsyM01vbt5e5FGdoz5jjOM4YjNVxXh5V8LRUZuP7yK089L+q3R9R4VcbYLgrHY6ricKq6rYedNJ20bs7O/2JbTW9raO1jE8LeMfh78QfFI0fRv2lJfHWqPazQ6fYXHjC21GWFHwJGiihAbJAXJweAK+0PBegp4V8HaT4Xjd2XTdMgtVaQgsRHGqZOOM8dq0EtreNt0duin1VAKfXZk+S1Mrq1KlSs6kp21flfzd9z85xmNjioRjGCio328/kgryv8Aaj+FH7H/AMUbLwvF+1zong+7gsfEcT+E/wDhLb2KBTqTA7I4TI6+a7gf6r5g+0ZU4GPVK/Db/g6M8UfF0ftWeAfDOp3V/F4NtfBn2zw4oUrA2otcyrdurD70ioloD3UFcY3c755j4Zdl0q0oc6ulZ7avr/W9j7bwr4UxHGfGdHLqOKeGk4zl7SN+ZcsXpGzV29nqvd5n0sfuL9ktQ24W0ec9dgqSvze/Y7/aWvtc+Cfw+8S/E79tfULvxdqHh+0bVtG1Hx3ZHzbqWPb5bwAB9x3D5c7t2O9ff/wnu9cvfAOn3PiFpGuWRvnmzvZNx2ls8524+tcuVcRYbN8S6NKnJWV7u3dK2jfc+UzfJa2T16lKpOMuSbheLunZtXXk7aHRUUUV9CeKePf8FBPEHxW8KfsR/FLxJ8D3vE8V2Xgq+l0aTTo99xHIIjl4h13qm5lxyCARk4r8nf8Ag1m1v4np+078SND0xLp/CNz4LiuNekEAaJdQS7QWe5zyrmOS9wP4gGJ+7X7fX7FbGZlPIiYj8jXyP/wTA+CXwl+Cd/rNp8J/ANhoMet+DtD1DVhYq2bq6ZroGRyxJJ9ugycAZNfMZpQlLiHBT5mvj09Ff8b2fkfqfDHGuDyfw4zjIqmGU54l03Gemlmvi6+7bmhbaTb06/XteH/8FK/EfxY8JfsE/FbxJ8D3vU8T2fg66fTpdNj3XES4AmkjHUOsJkYEcgrkcgV7hVHxMWHhvUCvUWMuP++DX0Vem6tCUE7XTV+11ufneV4yOXZnQxcoKapzjJxe0uWSfK/J2s/I/nt/4IYfFXW/BPxT8beGtR+Pl74H8MXvh+K6vJLbxBbact1fRzqkALzAliI5Ln5V9yegr7+0vwx8FtL+Pfwu+LvwI1yx8QfEPWPi7bRXXiqy1CDVNS1a1mj8vV0uJwSWhj08FiBhYRHDtC7vm9r/AOCYvwL+D3wSGv6L8Jvh3puhWup+FvD9/qEVlGx+0XL/AG0NIxckk4AGM4HYCqPhD4IfCLSv+Citx8dNO+H2nReMNQ8bXlheeIFRvPktl0FwI+TtUYRBkAE7Rk1+XYLLK6wmCxDry5ZVIpR6R956rXy7dT9n4t8QMv4g41x+aUaMqUJUrcqtepaEY2q2aXK/tfFolG2vMvsWiiiv1Y/CT83/AIA/E3x3cv8ABZk8W39z8R9W+L06eNNNmjia7M++9Gtw3EJ5hit4pHxgDy1W2x99N3w3/wAHEHi746P/AMFPxYajNqiWWi6LpL/DiNYDtCNGkjyQAD94xvRMpbBJaML0VRX6ffDn4I/CbRP+Cg918ctL8A2EHi/V/Gmq2WpeIFVjcT266XKFjOSQoxHH90DO0ZzSf8FFPgn8Jvif8XdL8Y/EHwFYavqfhTwa934cvLxWZrCc3RPmIAQpOUQ/MDgqCK/MamDnHh/ER9o/dr/fZqP43v6pH77wj4g5HwxxvDM44LnhOhUTjaKcZ1Hz2j05I29mno3CUnyq/IfVHwqvPF+ofC/w3qHxBt2h1+fQLOTXInjCFLxoEMylRwpEhYYHArfoor9NiuWKR+DVZqrVlNJK7bstlfovJH55ftj/ABPn8MeP/wBpa/8AiT8QbvRrzRvDdkPCHnvFG1tph0oNaz2aPxKX1OS8Tdg7pUWPnAWtL4X/ABT8JeNLbwzB4p/asl8V6+1pBL/YN/43s7sfb2t8SFIIsEuu6UADOATxX1/8Sf2Yf2f/AIwfEfwt8Xvid8J9I1rxL4KnM3hbWL2AtNp8hZX3IQcHDKrLuB2sMjB5ruFtbVG3pbRgjoQgr4vEcKYvEYqvU+tOMajbsk3dPo9Vtst9D7HHcR5VVwOHhQw/7yMY87aiknGEYLkau2pcrnJtJ80rWduaXN/BbwkfA/wt0bwyxl3QWxdhPjeGkdpCDgDGC5GPauooor7ChSVCjGmvspL7lY+MnJzm5dz8jf8Ag6o8R/Fi18HfCfwrp8t6ngi9v9Rn1URJ/o8upxpELYSMP4hE9wVU9cuRnHEn/BOL47p4p/Yh8Iaf8fP2xr+2uPsVxp8nh3UvHVnbxnTI5XhggeFvn8swKq4JDFe/INfp78df2ffgv+014Ak+F3x6+Hen+J9AluorltN1JGKCaMkpIpUhlYZIyCOGI6Eiuk0bw14e8PaPaeH9C0S1tLGwto7eytLeBUjgiRQqIqgYCqoAAHQCvlsfw3i8ZmVTEwxLpqSSsr30VrbrTr82fqmJ8Q8ur+GmB4ZWCXtaFWc3U0s0+Zq2jfM+a0r6WhHfaPnv7MHhcaVoGr+KA0n/ABPNQjmXdjYVjgjiDJxyDt68+1en0AADAFFfRZfg1gMFTw6d+VWv3Py/EVniK8qlrXCvGv2qvAr+NrrTdOGluxvtOu9MW8gUmRFuNgdB1A+4rDI/hPYGvZaKzzTALM8FLDuXKnbX0af6FYXEPC11USva/wCQy2hFvbx26kkIgUE+wxT6KK9A5zl/jdf+OdK+C/i/VPhhbPN4ltvC+oS+HYYoRI0l8ttIYFCtwxMgQYPB6V+b1n8b/C3hu5+ANj4U/aZvtAi1fw1fv4g1NfEFrbXN1Z/YUaSW6lmyY5TqMcKsOCZfOUj5GC/qTXA/Cz9lv9nn4JeMvFPxC+FHwj0bQta8bX32zxTqNjbYk1GffI+98kgfPLI2FwCXJxmvnc7yXEZrXozp1nT5L7Xvr1Wq16b7H1eRZ3lmXZbiKOJo885XcNI2bcZQtNvVKPNzwsn7ys0r80fn34CR+Dfiz41tG8LfF2TxpPb67Y3uqasuvwajPGLaVZoo5Hi+VE/dkAEAnc2Dk8fYFNjhhhz5USrnrtXFOrqybKpZVSnGVV1HJ3bfol3f5ngYzFrFzi1HlSVrBX5iftHfGLXvCfgn4x+IfEXxWvdC8fWvxsNppsk1zBBdWYXUbdNJjhSX5VhfTkhlDkYKNNITwxH6d1werfsv/s+678eNP/ae1j4TaPcePtL002Gn+KJLfNzDbkSKUBzjO2WRdxG4K5GccVnnuU1s2o04U6nI4yTv/XVdD3OGM4yzKKtSWNpe0TSaSUXeUXdQlzbU57TtdrR2laz+bvhh8adJ1HxO+heA/wBrC88YahcgG30t/GVtqEmEbO5I4QG9M9RjrX2TaNcPaxNdIFlMamRVPAbHIH40qW1vG26O3RT6qgFPp5RlNfLJTlVryquVt+lr92+54uMxdPEqKjTUbdv+GQVwnxx/Zj+AP7S1votp8efhTpHimPw7qi6joqarAXFrcgY3rgjIIxlTlWwMg4Fd3RXsThCpFxmk12ephhcVisFXVfD1HCa2lFuLXTRqzWmhH9ktQ24W0ec9dgqSiirMAooooAivVkezlSGNXcxMERjwxxwD7V5B+y14ATw5qer65HYTWiLp9ppUNqykJGlu0zBRkZyPN2nnsO9eyUV5+IwCxGPo4lyt7Pm078yt+B0U8Q6eHnSt8VtfR3CvHP8AgoNrnj3w3+xd8RNb+Gt5qNtqsHh5ybvR4fMu7a1LoLqaEf8APRLYzOpGSCoI5Ar2OkkjjljaKVAysCGVhkEHsa669N1qEqadrpq/a63NcuxUMBmFHEygpqnOMnF7SUWnZ76O1noz819a+N/gzw7+1BpPhHwj+1G/hXw7J8LRc366R4qs7W3lIu4v7MbzZNxctBLeMqg4KbX6EE/Qv7K1h4U8f+OtL8W+EfiAfFEOk6jc3t7rsWrRXxuLlrWS3ImmjypYJMvyjBAVewOfZ/gR+y9+z5+zH4ev/CnwC+Euj+FtO1PUn1C/tdLt9qzXDKqlzuJP3VUBR8qgcAV3ccUcQ2xRqo9FGK+PwHCmJw06MquJbUJKXKk+W6d9Lv8AG3c97Os7y3EVXDA0mocvKpSSU5d5SUbq93ZLmdkkruw6iiivtT5Q/Kq4+N+raB8IfhfrHij46X/hzx7qvxakh8Z3cupW1pewXhnuxrME3m5FvHDG7qMAbFFuB99d3vPgCbwJ8atauvC2gfHqbxzqWoWyWtxM3ii31G5s7Yvg7REMRpliSWGM96+n/D37Lv7PfhT44a1+0n4d+EmjWnjrxFZLaa14mit/9Ju4QIxtY5wM+TFkgAtsXJOK7qO3giO6KFFPqqgV8LT4PxVnGpinyuV7JOz1vd67v0evc+3zziXK8bXVTBYflvzNtqKalNtuMeW/uQ+GOzau7Rvyp9FFFfdHxAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFeP8A7Zv7dX7OX7BHw+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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", 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", "info": {"equation": "98+82=180", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 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": "98+82=180", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "47797b29938badf10ae3fde07f1de5dd34fd27bbc735a9a642fab7a39b5a029c"} +{"episode": 26739, "episode_seed": 4184863975, "split": "train", "timestamp": "2025-10-28T03:45:05.628597", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4184863975, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 6])", "action": "('move', [0, 0, 1, 6])", "reward": 0.0, "image": 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r3ymzkiFyvXacflX1tek61CVNO3MmrrdXW69D8oynHQyzNaGMlTVRUpxm4S+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+5H8Vf8NkfjvEuPhmme18TCNlKXXd2SXNJ9ZztzTfWTbCkdEkQxyKGVhhlYZBFLXEfGr4hw+FNDfQbGRv7R1CErDtA/doThnP6ge/0rpx2MoYDCzr1X7sV9/Zer2PJoUZ4iqqcN2fLv7W3j7/hW2kanYfDGG6vNW1e+msPDNvZ28UkwcRvLNLHG8sayCGGOaQAuAxjQHG6vqb9nXRfhl4f+BHhHS/gzJFJ4WXw/avoc8JU/aIHjDiZiPvPJuLu3VmdieSa+d/gn8GdQ+MD+Iv2kL62lVdONxongG3dxzawzBb+62+WGVp54difMcx20bDAkIPefsUHWPAk/iD4STGN/D51GXVvCe2RFNlHOwkubLywi4Vbh5ZUOX+SbblfLAPw/DU3l2O5MRBQ+sLmi/m/d+57enc9zM0sTh705X9m7P/P+vM9/ooor9DPnT4y/4L3eL/jn4M/4JueK9Q+Bk2owyXN/a2nim60uLdLDo0hdbkkj5kQny0dl6I7ZwpYj8hP+CLfxk8e/D79pm58G2fx11LwV4Q1jSJ7jxRLa67DYQyvDG/2Ys82V3CWQAbfmIYjpnH9Bv7UsEN1+zH8RrW4iDxyeA9XV0YZDA2UoINfO37AP7OnwM/Z9+OWr6F8Fvhhpfh211LwWlxfxWKMTcSi7CqzM7MxwOAM4GTgcnPwnEGAq4riHDRhVcHNNJr7PKm9NVufuHCPiPluR+FuZcP1cEqlStK6npZ83KrzvrzU7c1Nq+ttrXeH4E8dfD3xl4vh/sf8AaIPjvW4rSSOxt7rxbbajPbws8bSiKOHBAZo4dxwfuJ07/XHwT8Ep8OPhJ4e8DRyTMNM0qKHNwRv4HOcADPPpXSpbW8Tbo4EU+qqBT69rJ8inlmJqV6lZ1JSSV2u3nd3PyDGY+OKpxhGCil2/4ZBRRRX0J5x4l8dPgb+wN46/aC8HeNv2g/DfgG4+JNq0K+C38QahDFqM5jmLxLDC0im42yklRtfDE45Ne0mztCcm1j/74FfzIf8ABV/4gftC6l/wUk+JGufGLVdYtNe0LxfPB4ZebdBJZaXDOzac1vtxsTyTHKrL95nL53MTX6m/s3ftJT+IPgR4K8U/GH9vHU7fxVeeHrO58QWk/wAQtPh2XTIGdWiC/Jz1Xt04r4aHGGDw+KrQnQatK14pXdtLy21+8/cuPfC3MeG+GMpx1TMVXVaGkG3andKdqWrvDXVpR1s7e9p+kqqqDaqgAdABS15V+zb4v8R+Mhe6zLrTanpN1Alxa34n82KRn+YGJxlWVlOflOMbcdefVa+qyzHwzPBxxEYuKd9H5Ox+K4rDywtZ0272Cvzj/wCDmTxd8cvDf7E2i6Z8Np9Rg8L6t4oW28ez2Efym32breKZxykTzAZ7MwRSeQD+jlc78W/C/wAMfGvww1/wt8adO0q78JXmkzp4jh1tlW0+x7CZWlZyAiqoLFyRt27sjGaeZYWWNwFShGXK5K1/66d/I+g4Jz2jwxxZg80q0fbRozUnDv00/vK94/3kj8EP+CGvxu8ceE/F3i/4d65+0fqngrwMNK/tAW8Xia30+CTVWlhjVlM4OXMKyZCdQi7ui192ePfh9+w/8arXxH42+NHj7w78Q54vD4g1fxB4n8UW2p3GlacrEqInDBbRRISwZApZ2wSc4r7Z/ZT+GP7KPw1+EMGgfsf6R4Ui8GS309xC/hO8ju7Sa5LBZXMyO/mPlQpJYkBAvAUAfN3/AAUF/Zr+Avxq/aEvvEPxY+FWk69eeHvhnZzaNNfxsRbObrU3JChgrgtGhwwYfL05OfzvNcgxWXZN7WeJcoq3uq/Lq+mvn2P0jiDj3BcTeItbM6dGpg4y0bgl7b3Ul7y5oLmk0r+8+XTSTWvuX/BObXPip4k/Yf8AhrrPxoW+/wCEhm8OJ9ofVLQQXMtuHdbWSWMAbZHthC7ZAOWOQDkV7XXOfB5i3wk8LMxyT4csSSf+vdK6Ov0zDwdLDwg3eySu93Zbs/HMzxccfmVbExgoKpOUlGO0eZt8q8ley8gr+Ur49/FP9ps/tj698VvixrWr2XxU0/xn9purq8jEdzY6jbzDylVDlUERjjVFHyBUUD5QK/q1r4C+Pv7OPwL1/wDa08Y/H/XPhdpd14z074leHYbDxDPGzTwIsOiqu0FtmQrsA23Izwc4r5PjLDyq4ehJSa99L/wLr6q2nqz9c8GvELL+AsVmDxWEVf21Ky2unFv3Xf8A5dz5vftd+7HRmJe+P/g/8UfhdB4O+OH7aE2tWWq6Tbp4n0DUvibZrbXbFEaaCYQlCYy4ZWQMAy5U5BIPU/saaH4c+GX/AAUGufh3+zdpdtpvha9+HU198TdB8PWsS6ZZags9umlTusfy291LCbsFRtMkUKOQ2A1fTX7a/h/RNb/ZH+I2i6tpUE9peeEb2C6geMbZI3iKspx2Kkj8a8o/4J7fAf4Ofs9/FPx54O+Cfw707w3plz4f0W6ubXTkbEsxudUXezOzMx2qoGTwBxivOp5ViMDxJhYVMRKo2pO7veyT03ej6ny+C4gw8OH8bHlkudOKpK3srzsnOWvxQsnBKD96MW5Lls/qyiiiv0M/PgooooA+d7H4Vf2z8bobE6RLYpZeL312YWykIZBNJMXJYH5XdiT6knGK+iKKK8rKsrjlcKkVNy55OWvn0/4J1YvFPFSi2rWSQV4d/wAFJvEnxU8IfsPfELxF8GbzVrXXbbSoc3mg2/m3tpYtdQrfTwLgnzY7M3EikAspQEAkCvcaOvWvQr0nWoTpp25k1dbq6tdehpleMjl2Z0MXKmqipzjJxe0uWSfK99Haz0eh+Ynx9+MvgvwD4j+BmlfB79oGPw3Dfa6tsl1omv2kYl8M/Y5BPI00hYJFugtwsgPzOpUEnivUfDfxF+GPi7xTp9p/w1MfGeoxSSNpGmah42tL5o5TE6tJFFFhi/lNIuecKzcdx9OfA39jL9lj9mnxBrvir4D/AAN0DwxqHiVw2tXWmWpVrjDs4UZJEabnY7E2r04+UY9KW1tUYMltGCOhCCvhqPB2NWG9lLFtJ3vFJuP/AKUr+eh9Nm/EGT1K1OOBoNxgvjmoxnJtt6qPMly35V7zulfS/KuM/Z48Et4B+F1to8gnD3WoX2oSJcgBka6upbgrjAwAZMAHnGM5NdvRRX2+FoLC4aFFO6ikvuVj4+rUdWrKb6tsK5H4jfCLS/iHqFrqVxqctrJAvlymKMN5keScc9CCTg8jk8GuuoqcXg8NjqDo1480X09PQdGtVoT56bsyK1srazso9Pt4gsMUQjRB0CgYA/KuS8EfBnRvBPiafxHa6hJPuVltYXjAECtjPI+8ew6cHuea7KiprYHCV6lOpUgm6esfIIV6tOMoxekt/MKKKK6zI+af+CrHiHxj4e/Zjsf7E1TUNP8ADt/450ey+I2o6YoD2vh2Wfbds79YoWPlRyyD7sUj5IXcw+ZPjP8AHTSPDf7X/wAOPDvhb9pJ/C1rfeGNXl8XnSPENnaxfYfLiksZJJpM7S07DywD86MxAKgkfpRrGj6T4h0i60DXtMgvbG+tnt72zuohJFPE6lXjdWBDKykgg8EEiuC/Z6/ZH/Zs/ZR0HUPDX7PHwe0fwrZardrc6lHp8TFrmVV2KXeRmYhRnC5wNzEAFjn5XN+H8TmWZQxNOu4JK3W63+HVb311XzPtso4hyfBZJLD4jD89WPtFHSPJL2kVHmm37ylT+KFlJN8vwcrcvnj4XfG7S9T1WXw94K/aqu/F9/chJY7BvGFtfzoIyfmjSHDAZYbuCD8ua+v/AA1Lqc/h6xm1qPZdvaRm5X0faM/rVtLa3ibdHAin1VQKfXblGT18tqznVxEqvMktb6W9Wz5jGYyniYxjGmo27f8ADIKKKK904DzL4o/safstfGr4r6F8cvit8D9B13xb4a8r+xNcv7YtNbeVIZYxwQHCSEsocMAScYzXpJs7QnJtY/8AvgVJRURpU4ScoxSb3039e51V8djcVSp0q1WUo01aKcm1Fb2im7RV9bKwiqqDaqgAdABS0UVZyhX5x/8ABzJ4u+OXhv8AYm0XTPhtPqMHhfVvFC23j2ewj+U2+zdbxTOOUieYDPZmCKTyAf0crG+IXw98E/FjwPqvw1+JHhi01rQdbsntNV0u/i3xXMLjDKw/UEYIIBBBANcWZYSWOwNShGXK5K1/66dH5H0/Bef0OFuKsHm1aiqsKM1JwfVeV9OZfFF9JJM/Af8A4Ia/G7xx4T8XeL/h3rn7R+qeCvAw0r+0BbxeJrfT4JNVaWGNWUzg5cwrJkJ1CLu6LX6Y+CNT8BfFG+1XS/C3xrPjrWNQ05bO6uT4kg1K7htv3iog8n7iBppGGV+855PSvqr4F/s4/A39mfwGvwx+BHwy0vwzoS3cl0dO06E7XnkxvkZmJZ2IVRkknCqOgAHZxwQRHMUKKT1KqBXyEODcVLDKjVxb5esUm4/K8v0+R9Tx/wAf4Di3i3EZthcIqUZ2SvbmdklzSsrcztrZvtd2uUfCGhR+FvCel+GYpHddO06C1V3ILMI41QE44zx2rRoor7tKysfmDd2Ffk9e/GjUtE/4J6+OfiH8U/irfaX8UBdapN4luL6aGPUrHxcly7W9qsDZCFJILdIYguPs8SMoKjcf1hrzLVv2M/2Wtd/aCtv2qtY+B+g3HxCs0RbfxTJbE3ClYjErEZ2s6xnaHKlgAoBG0Y+f4gyavnEKSp1OTld/+D6q2nq9UfXcLZ3lGVRqwx9FzTlCa5VFtunz/u3zWtCpz+81drli+SWx8haL8Y/h54j8EafYfE39tybUmu9Ktxr+j6j8RrBre4kaJTNDIiYyhbcCoI44zX1R+y/4NNtruvfEl2mzqthZWMe4Dy3SCS5k3rxk5NyQTkj5R6GvXvsVn/z6Rf8AfsVIABwBXPgOG62EzCGKrYmVRxTsmu6tu5M8fF5pDEUp04UlBSd9Nt77WCiiivqTyAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKg1W0l1DTLmwhuWheeB40mTrGWUgMPcZzQB88fs7/8ABV39iL9qX9oTU/2Zfg38Tru+8S2C3zWMl1oV1bWGtrZTeTeHTruVBDeiCQ7ZPKZtvJ5AJr6Or8VP+CVv7N/7TNh+0T+yF+zx4x/Zv8ceFLz9kmy+JEfxQ8Xa34flttIv21W5mWxXTrxvkvxcCVZW8snaAd3Sv2roAKKKKACvDf22f+Cif7MH/BPzSvDmrftJeItXsk8Van9h0iPR/D1zfsX3xRl5DCjLDGHmhXe5UFpFAyTivcq/Pv8A4OP/ABbq0v7BsXwU8H/CPx/4u8QeK/F2jXmm23gfwNfawsMOnatY3Vybh7WNxb/ugxTfjzCrBc4OAD9A1YMoYdCMilrmvg78TdF+M3wv0P4p+HNF1vTbHXdPS6tbHxJos2nX8CN0We2nVZIX45RwCK6WgAooooAoeKvE+h+CfC+peM/E9+LXTNIsJr3UbpkZhDBEhkkfCgk4VScAE8cCvD/2QP8Agpl+yl+29448SfDD4K694gtvE3hWzgvtV8O+LvCV9o179hnOIbyOG8ijaSB+MSAY+ZfUZ9q8c+KYPA3gnWPG11pF/qEWj6VcX0lhpVo091crFG0hihiXmSRgu1UHLMQB1r85f+CM3xR1j9qv9sv4sftrftGfBv4m+D/iz4z0BNN0fw14o+GWp6TpXhXwlZXYFrp6X11CkV7eyySi4lKnuQihUagD9L6KKKACiiigD53/AGzf+Cov7Jn7BOvWWh/tF6t4ps0uLOK8v9V0bwTqGo2Gj2ss/kRz311bwtFaI0gKr5jAnacCvoHTdSsNZ0631fS7tJ7W6gSa2njOVkjYBlYHuCCDX5lf8HF9hcfHP4XRfs3+B/gV+0Hr3xIisre/+GUvw90W7uPCesX819Bm21jYTaSpD9lRyl6oVVlJjJ3NX6SfD2LxPB4A0ODxrb2sWspo9surxWSgQpdCJfNWMDgIH3AY7YoA2KKKKACgkKCzEAAck0V4n/wUb8IftLfEL9iP4i/D/wDZCihf4ha9oDadofnaoliVWeRIrhkuHBWCUW7TFJCDtfacHGKAF/Y1/wCCgv7L/wC3zF43u/2YfGtxrtr8P/Fk3h3X719Okhha8jGSYHcATRkciReCCCOte11+ZX/Bvr8LP2kvgn8W/wBpnwH8Vv2Jf+FQeF5PHuny+HrVfEZvreNodMtrUWlrJ9mhF7CsUSObxPlZ2ZNu5ST+mtABRRRQAV85/Er/AIKgfs6/DP8Aaqm/Y4ufCHxK13xlZvpQ1U+EvhtqWq2GmLqJItZLq6tomitkYByXkIAEbknCnH0ZX5Lf8FUPAHxC0r9u1/H/AOwp4E/aZ0v9onXvF/hCCHW9BtbuPwBq2i2wUTm/li/0SSGOCW6R1uT5iyZ2Da2SAfrTRRRQAUUUUAch8fPj18Jf2YPg7r/x8+OvjS18PeE/DFgbvWdWu8lIY8hQAFBZ2ZmVFVQWZmAAJIrn/wBlL9rj4TftkfDyf4kfCSz8S2draX5s7yw8XeFLzRr6CTy0kUtb3caSbGjkR1cAqwYEGvnf/g4J/Z2+MX7TH/BMvxP4J+B2g6xq2t6V4j0PXZNI8OjdqF5aWWoQzzrbL/HOsatIifxNGAASQKo/8ENrf9oOP4dfFi5+Ik/xYb4bz/E6ZvgoPjg903iUaN9mi803H2z/AEkRG583yxL82A2PlxQB9y0UUUAf/9k=", "info": {"equation": "18*2=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": "18*2=36", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "1025394db98690aeb3c721ce74b49c7cdf51a7545d2373dfe3c5a34b301418e0"} +{"episode": 26740, "episode_seed": 2989716120, "split": "train", "timestamp": "2025-10-28T03:45:05.699214", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2989716120, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 0, 1])", "action": "('move', [7, 6, 0, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "8+8*4=40", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "8+8*4=40", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "fab55f8cf1253f15d45dc88cf4ed497a7a1846bb222bd941ee0ebbde0543be02"} +{"episode": 26741, "episode_seed": 669270091, "split": "train", "timestamp": "2025-10-28T03:45:05.759161", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 669270091, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 0, 1, 4])", "action": "('move', [6, 0, 1, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "76-75=1", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "76-75=1", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "54fd7b8b2872b07d8fbb4c019a9a8e75ad8a325d1cb992633103359149fe86c2"} +{"episode": 26742, "episode_seed": 2516797332, "split": "train", "timestamp": "2025-10-28T03:45:05.819815", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2516797332, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 3, 1])", "action": "('move', [1, 5, 3, 1])", "reward": 0.0, "image": 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", "info": {"equation": "13+9=22", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "13+9=22", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "9c1acf6b499e844bf34ae3062838e83dc140b5ae4cdea0b944b9d59acd91e713"} +{"episode": 26743, "episode_seed": 2344927202, "split": "train", "timestamp": "2025-10-28T03:45:05.873976", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2344927202, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 8, 3, 6])", "action": "('move', [2, 8, 3, 6])", "reward": 0.0, "image": 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hTM8txOBVaVW8k9LSvDl9nVvq6atdWv8AFJW1udL4x+IvwR8deHr/AMG+Nv25r3VdE1GFoNS0y6+KVokV3btw8MhjKOY2XKsAwypIPBNcnpHhP4efA/8Aaz+CEH7E+g6Zo3ibXtftLLxNo3gy3h8jUfBmx2ubm9jQ7TFHhGium+ZpDgO7YWvuv9rSwsZP2VfiYj2cRVvh9rQIMY5H2Gavl39jP9l79nv9nX9qPwpd/BD4S6T4bm1bwzrC6lPYK5kuFQWRVS8jM20FidoIGecZArhxWUYjBZ3hIVMRKbk93e6s1ort7nxHD/EWHwWV4qUlJLlaVJW9lNyi4t1NV8OjSUJOVkuaGjX3PRRRX6Yfm4UEBgVYAgjkGiuF+M3xPt/COmSeH9Lmb+1LqEbGUAiFCSCxz3wDge+a5MdjcPl+FlXrOyX4vsvNm1ChUxFVQgtWeDftI+N/A3wgGu+LbcS3FhZTrHbWNsEElzdyOI47WAFgGZ5XVF5H3vQZrrP+CbGn+HJfglqXi+5iU+OtV8SXQ+JjTW8ST2+rRNsNmQkkmIIIvLWAFzmEpJ1lbPB/Bn4Lz/tOfFDUvHviGCWHwr8Pryaw8JpIwCah4gEbR3N8VaLJjtlka2Qhseabg4yiNWh4C07xR8F/2l18e6LGi2GuW6aR4/0oyRxeaYXItL9CY8vJD5kqMC67oXGNxjRT+d5NUeVY+GMxNNRhXvZ/y3d16L9PRn0WMisXh5Uacryp2v5/1+Z9Z0UisrKGUggjII70tfp58uFfHv8AwU+8X+KPD/xb+B+j+KPEN7pHwtvdf1GfxffIyxWUmr28cEujwXs5I8uFpRcSAEhXlhiByQoP2FXiv/BQzwr4d8c/sm694M8XaRFqGlarrOhWmo2M+dk8Ems2SuhwQcFSRwQfQ15ed0XiMprQUnH3W7ry1t87Wfkz3OG8dh8uzmlWr0+eD5otaXSnGUOaN9OaHNzxv9pLVbngPws8f+MJf+CmXgrwZ8J/EE99YDwTqsXxZ020iimttOtFUS6ZJcP963na5dwiZDNG7EKVyw+Qv+DpXxp+0LD8U/APgCaXU4fhXP4fF7arHDts7rXVnuEmEjj78kdv9nKq33RK5X7zY+5/+CfnwE+DP7PXx68VeFfgn8ONN8N6feeC9Puru305G/fzfbbtQ7s5ZmIUADJwBnGMmuv/AOClnwv+H3xl+HXgT4dfFLwpba3od/8AEaL7Zpt2WEcuzStSkTJUhhhlU8EdK+PwuFlU4Jn77XxS+Sfw+jtf1Z+l8N8Z5Nwp4i4PH08L7WjQj7NtqKqScuaTq2u4qcefliuZ+5GMebqvz5/4NX/Evx1fxP8AEvwgttev8M00+K7eZ7QfZ49dLxIqpKed7WwYsgyMJGTjK7v2Vr5l/wCCcHws+HPwXj+Ivw7+FHg2x0HRLPxDYvbabp8ZWNWfTbdnY5JLMSclmJPTnAFfTVfTcMU3TyOjd3ur+l3sfLeJ3E2G4v42xWaYegqMJtJR0u7JLmlbTmlu7el3a7KKK4n9pTVPihof7O3jzWvghZSXPjO08G6nN4St4rdZWl1NbWRrZQjfK5MoQBTwc4Ne5OXJBytex8RhaDxWJhRTScmlduyV3a7fRLq+x5rZ/s9f8E24v2x5viNY+FfhuPjd9oa8mjTU4Dq6zG2Bac2fmZEhhO8yeXuIbfnJLH3z7HZ/8+sf/fsV/JLH8WfjZ4f+NzfGX/hNtdtfH9tr7ahJrsk7rqCaiJCzSMzfN5m/IIPuCMcV+5vwz+Pum6h8NPDt98Qv2+dUt/EE+gWcmvQf8LJ05PKvWgQzrtVSFxIXGBwMYFfB4PjPBQ5+bDuN237qWvm9te5+7+LHhPmXB0MDUq5l9Z54ci527w5LaQTcv3fve7tbtqfogiJGu2NAoHQAYpa8K/Z4+I3iPx/4itdb0Hxedf0a7hJmv4Lxbi3dVBUOroSmdykfKeSG7jj3WvqsozSnm+FdeEHFXa18uv8AXW6PwvF4WWEq8jael9Aooor1DlP5+P8Ag5B8aftDar+31d+CviZNqkfgjStJs5PhzbTQ7LSSCS1hN3NHjiRzdCZGY/MBGi/dC59G/wCCLH7Rfj2b4E674O+LX7XWs+F/D3h6/t7TwVp0njG1sVjjYSyXKRrMC7IrNFj+FdxC9wP0O/4KQfAf4PftB/FD4aeEPjV8P7LxFplro3iG7t7O+LhY51k0tA4KMpztdh1xz06V3f8AwT08FeEPA/wEvPBng/w1ZabpOleNdbtdO0+0gCxW8KXsgVFHoPzJyTkkmvzWeVYjE8U16NOvKDtzcyvez5fd3Wivp6I/oXOfFXKcw8IsHw8sviqlPki5e7yrkv8AvI6N89S3v3S+KerueN/DXxV8PfF3iq6vfCnxrTx1r8trDHPPJ4lg1K7S2jkcxxgQ8rGJJnI+X70p55Ar6w+BfgGP4XfB7w58PopZnGk6VFBuuCC5wM/NgAZ59K6mO3giO6KBFPqqgU+vqMmyGWVYipXnWdSU0ldr89Xc/C8Zj1iqcYRgopf12QUUUV9EecFFFFAHkH7T/hwX2q6F4ofRFkbTre6gh1BVYtAszQmSM44CsYYjz3QYrof2bfh+/wAO/hu9hKLhZdS1m+1SaO5ADRvcTtKVxgYA3cA8+td9RXj0cojRzipj+dtzSVrbbdfkdk8Y54OOH5dne/3/AOYUUUV7Bxng/wDwU28U/GbwX+w3498S/AS51e38RW1na5u9AthNfWtg15At/PAuCfNjs2uZFIBZSgIGQK+Kv2yfjF4K+F/7InhfUf2dfjTBpWrx6npEfwuvtG1a2klumjlS2fa0pZWjWCSVZZDwhI3Mua/U2vJPhL+wf+x58CfilqXxq+EP7PXhzQPFGrCcXur2FoQ5E0nmSqiklYgzDkRhRjjpxXy2e8P4jNsZSrU63Jy6ddNb3j5/dstT7vhriPJMrwEaWOw7nKlUdSKSi41bqC9nVbaagnBPRTupTXKr8y+X9a+Lfwg17T7vQfEX7dVzqWmXsL299p178S7BobqBwVeKQAAlGUlSAQSCeRXu37O/gm08UfEvSfilYXDyWekaPdx2NxbMrW863QgIIYAh/liUgqejZ5BFfQP2Kz/59Iv+/Yp6qqjaoAA6AVlheF61LHU8TWxUqnI7pNfq5Ox83VzSE6EqUKSjft/wyFooor648gK4z4hfBnSfHusw62+qy2kqqsdx5cYbzUBPTPRucZ5Hsa7OiuXGYLC4+j7LER5o729PQ1o1qtCfPTdmV9J0y00XTLfSLCPbDbQrHGvsBiuN8U/AnQfFHiw+JZtTmhSZw93aLGCJSABw38Occ8HPbFd1RUYrLsFjaMaVaCcYtNLtbbYdLEV6E3OErNiIixoI0XCqMAegpaKK7djEK+PP+Cn/AIw8T+Hvi18D9I8U+IbzSPhbe+INRn8X3yssVlJq9vHBLo9vezkjy4WlFw4UkK8sMQOSFB+w6xPiT8NvAXxh8Car8Mfih4Tstc8P63aNa6ppWoQh4riJuxHYggEMMFWAYEEA1wZpg55hgKmHjLlclv8Aj9z2fke1w/mOGyrNoYjEU+eFpRa0ulOEoc0b6c0Obmjf7SWq3Pzc+Nnx2t/CX7dPgTwV4U/aSuPCkM/hfVF+I8Ona9Z2iQW0aebp/nSygmOU3EzYj4ZkcNgqSa9N0r4k/CbxX4k0u21D9rIeL7yC98zRtK1Tx3Z3YF20bxB44o9rNLskkQdeJG4zjH1h+z/+yr+zt+yv4Wu/Bf7Pfwj0jwtpt/em7vbfToSTPNtC73dyzNhVAAJwO2Mmu9W0tVYMttGCOhCCvkqXB+OWF9lLFtLrFJ8v/pSv9x7Gb8QZTWxFOOCw/uU48vPJRjOb5pSc5JcyT97lS5pWjGKu7Hl/7Lvw/fwrZeIfF8wuFk8S6lBcGOYAKFitooFKDAOCEzk5znI4r1SiivsMvwccBgoYdO/KrX7nyeIrPEVpVGrXCiiiuwxPJbf9hH9j60/aBf8Aantv2fPDifECS6a6fxKLU+d9oaPy2m258sSFc5cLuJJbO4k16t9js/8An1j/AO/YqSis6dKlSvyRSu7uytd935nXi8wx+PcHiqsqnJFRjzScuWK2irt2iuiWiEREjXbGgUDoAMUtFFaHIFFFFAHwh488ZeJrv/gpV8R/Dvxj8R3lr/Z/h/S4fhHpOoOsNrc6RLaxzajcWgyPtExvYnWVvmZEgjB2qAT4/wDAL9pHR9V+OPxj0y3/AG0b3R/BFl4ptW8JR2njGwsrZ7maBpdS8gkEzxCdkIkyV+Y4J5A/Qz9oj9k79nL9rPQLDwx+0Z8ItI8WWWlXZutNj1KNt1tKVKMUdCrqGB5UHDbVJBKrjqfAnw58B/DHwZpnw8+H3hKw0jQ9FsktNL0yxt1SK2hQYVFA/n1JyTkmvia/CuNq5nVxMMS4KWqavza9N1oumvbQ/Qa/FGRTydQjhr13Tp02moqnD2fJepB6yc6nIua8Vbnqe9Lm0+VfhV8bLbXpJPDPgL9pW58ZXiTC68pfFNvqFzF0QYEHOzJAwQQWb3r638Ny6pP4fsptbiCXjWqG5Udn2jP61ajt4IjuigRT6qoFPr2MoyevllWc6uIlU5rb30t6tnxuMxkMTGMY01G3b/hkFFFFe8cAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAHzp+2l/wAFUf2Nv2CPFOl+Bfj/AONNX/t3VNJn1ZdG8M+GbzVrm00yE4m1C5S1jc29shyDK+F4Poa9w+GvxJ8B/GP4faL8Vvhd4qs9c8OeItMh1DRNY0+XfDeW0qB45EPoVI68joQDX5df8FJfDHxl/Zl/4KkfEX9rO5/Zn8f/ABG8HfFr9kjUPh14am8AeFptYkstf+0mRLS6jhBNvBKMHzm+QFjnoa+xv+CNv7O3xT/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", "info": {"equation": "16/8=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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RXb3PiOH+IsPgsrxUpKSXK0qSt7KblFxbqar4dGkoScrJc0NGvueiiiv0w/NwoorhfjN8T7fwjpknh/S5m/tS6hGxlAIhQkgsc98A4HvmuTHY3D5fhZV6zsl+L6JebNqFCpiKqpwWrPKv2ufjvpnh6xub1o5ruz0mVLe0sLQr52pahLIsMVvFuYK7vI6Rpkjlic45ruP2QfgFe/A/4avfeNha3HjjxVcDVvHGpW8CrvvHUYtUIZiYLZMQRDcRtTd1difJv2afhvcfHP47TfFvxFYP/wAIn8N9RlsfC0EwXZqOvCNorq92NHkpbJK1tGwfHmm4OMojV9YV8/w7g61ec80xK/eVdl2j0/rt6noZjWhTisLS+GO/mwooor6s8kK/Lv8A4OhPGn7Qvh79nnwL4a+H8upwfD/WtWvI/H89jD+6edPszWEM8g5VGP2lgp+VmiXPKqK/USvFf+Chfhbw944/ZN17wb4t0iK/0vVdY0K01Gxnzsngk1myV0OCDgqSOCDzwa8rO6LxGUVoKTj7rd15a2+drPyZ9hwDxDQ4V4xwWa1qCrRpTu4PrdON1fTmjfmi+kkj8G/+CMHxd8efD39qObwxpvxqvfBXhPWtJmk8XXlrrFvYrKIIpTahpZwQCJpAAF5O88YBI/UDxSv7Mnx41PRvD/xY/aJs/iQlnqSXGi+G/E3jq0v7Vr37scgtEKrPIASFDq4+dgBya9O/YA/Z++CnwA+PPinwp8GPhppfh3T7vwXYXV1b2ERPnTfbbtd7M5ZmIUADJwO2Mmuu/wCClPwm+G3xg+HngT4efE3wbZ6zomofEaL7Zp1yrBJdmlalImShVhh1U8EdK/PsNk+Jq8OPFLESUbSfJrbRvztra+x+gce8f4DivxDWYYag8PG0I88be1slrN2cU52fLbnXupLmPIf+CbWmaV4D/bg+KPw2/Z006C3+Fg8MW1/4otNItov7M07xe1wI2hhkT7krWi7pYFOIyiAqmFB+8K+Zf+CcHwr+HPwWT4i/Dv4UeDbHQdEs/EVi9vpunxlY1d9Nt2diSSWYk5LMSenOAK+mq+34YpunkdG7bur69Lvb0R+bcYZnSzXPJ1aadkox5pW558sUuedr+9Ld6u2i5pNczKKK4n9pTVPihof7O3jzWvghZSXPjO08G6nN4St4rdZWl1NbWRrZQjfK5MoQBTwc4Ne7OXJBytex8/haDxWJhRTScmlduyV3a7fRLq+x5rZ/s9f8E24v2x5viNY+FfhuPjd9oa8mjTU4Dq6zG2Bac2fmZEhhO8yeXuIbfnJLH3z7HZ/8+sf/AH7FfySx/Fn42eH/AI3N8Zf+E21218f22vtqEmuyTuuoJqIkLNIzN83mb8gg+4IxxX7m/DP4+6bqHw08O33xC/b51S38QT6BZya9B/wsnTk8q9aBDOu1VIXEhcYHAxgV8Hg+M8FDn5sO43bfupa+b217n7v4seE+ZcHQwNSrmX1nnhyLnbvDktpBNy/d+97u1u2p+iCIka7Y0CgdABilrwr9nj4jeI/H/iK11vQfF51/RruEma/gvFuLd1UFQ6uhKZ3KR8p5IbuOPda+qyjNKeb4V14QcVdrXy6/11uj8LxeFlhKvI2npfQKKKK9Q5T+fj/g5B8aftDar+31d+CviZNqkfgjStJs5PhzbTQ7LSSCS1hN3NHjiRzdCZGY/MBGi/dC59G/4IsftF+PZvgTrvg74tftdaz4X8PeHr+3tPBWnSeMbWxWONhLJcpGswLsis0WP4V3EL3A/Q7/AIKQfAf4PftB/FD4aeEPjV8P7LxFplro3iG7t7O+LhY51k0tA4KMpztdh1xz06V3f/BPTwV4Q8D/AAEvPBng/wANWWm6TpXjXW7XTtPtIAsVvCl7IFRR6D8yck5JJr81nlWIxPFNejTryg7c3Mr3s+X3d1or6eiP6FznxVynMPCLB8PLL4qpT5IuXu8q5L/vI6N89S3v3S+KerueN/DXxV8PfF3iq6vfCnxrTx1r8trDHPPJ4lg1K7S2jkcxxgQ8rGJJnI+X70p55Ar6w+BfgGP4XfB7w58PopZnGk6VFBuuCC5wM/NgAZ59K6mO3giO6KBFPqqgU+vqMmyGWVYipXnWdSU0ldr89Xc/C8Zj1iqcYRgopf12QUUUV9EecFFFFAHkH7T/AIcF9quheKH0RZG063uoIdQVWLQLM0JkjOOArGGI890GK6H9m34fv8O/hu9hKLhZdS1m+1SaO5ADRvcTtKVxgYA3cA8+td9RXj0cojRzipj+dtzSVrbbdfkdk8Y54OOH5dne/wB/+YUUUV7Bxng//BTbxT8ZvBf7Dfj3xL8BLnV7fxFbWdrm70C2E19a2DXkC388C4J82Oza5kUgFlKAgZAr4q/bJ+MXgr4X/sieF9R/Z1+NMGlavHqekR/C6+0bVraSW6aOVLZ9rSllaNYJJVlkPCEjcy5r9Ta8k+Ev7B/7HnwJ+KWpfGr4Q/s9eHNA8UasJxe6vYWhDkTSeZKqKSViDMORGFGOOnFfLZ7w/iM2xlKtTrcnLp101vePn92y1Pu+GuI8kyvARpY7DucqVR1IpKLjVuoL2dVtpqCcE9FO6lNcqvzL5f1r4t/CDXtPu9B8Rft1XOpaZewvb32nXvxLsGhuoHBV4pAACUZSVIBBIJ5Fe7fs7+CbTxR8S9J+KVhcPJZ6Ro93HY3FsytbzrdCAghgCH+WJSCp6NnkEV9A/YrP/n0i/wC/Yp6qqjaoAA6AVlheF61LHU8TWxUqnI7pNfq5Ox83VzSE6EqUKSjft/wyFooor648gK4z4hfBnSfHusw62+qy2kqqsdx5cYbzUBPTPRucZ5Hsa7OiuXGYLC4+j7LER5o729PQ1o1qtCfPTdmV9J0y00XTLfSLCPbDbQrHGvsBirFFFdEYxhFRirJGbbbuwoooqhBXx5/wU/8AGHifw98WvgfpHinxDeaR8Lb3xBqM/i++VlispNXt44JdHt72ckeXC0ouHCkhXlhiByQoP2HWJ8Sfht4C+MPgTVfhj8UPCdlrnh/W7RrXVNK1CEPFcRN2I7EEAhhgqwDAggGuDNMHPMMBUw8Zcrkt/wAfuez8j2uH8xw2VZtDEYinzwtKLWl0pwlDmjfTmhzc0b/aS1W5+bnxs+O1v4S/bp8CeCvCn7SVx4Uhn8L6ovxHh07XrO0SC2jTzdP86WUExym4mbEfDMjhsFSTXpulfEn4TeK/Eml22oftZDxfeQXvmaNpWqeO7O7Au2jeIPHFHtZpdkkiDrxI3GcY+sP2f/2Vf2dv2V/C134L/Z7+EekeFtNv703d7b6dCSZ5toXe7uWZsKoABOB2xk13q2lqrBltowR0IQV8lS4PxywvspYtpdYpPl/9KV/uPYzfiDKa2IpxwWH9ynHl55KMZzfNKTnJLmSfvcqXNK0YxV3Y8v8A2Xfh+/hWy8Q+L5hcLJ4l1KC4McwAULFbRQKUGAcEJnJznORxXqlFFfYZfg44DBQw6d+VWv3Pk8RWeIrSqNWuFFFFdhieS2/7CP7H1p+0C/7U9t+z54cT4gSXTXT+JRanzvtDR+W023PliQrnLhdxJLZ3EmvVvsdn/wA+sf8A37FSUVnTpUqV+SKV3d2Vrvu/M68XmGPx7g8VVlU5IqMeaTlyxW0Vdu0V0S0QiIka7Y0CgdABiloorQ5AooooA+EPHnjLxNd/8FKviP4d+MfiO8tf7P8AD+lw/CPSdQdYbW50iW1jm1G4tBkfaJjexOsrfMyJBGDtUAnx/wCAX7SOj6r8cfjHplv+2je6P4IsvFNq3hKO08Y2FlbPczQNLqXkEgmeITshEmSvzHBPIH6GftEfsnfs5ftZ6BYeGP2jPhFpHiyy0q7N1psepRtutpSpRijoVdQwPKg4bapIJVcdT4E+HPgP4Y+DNM+Hnw+8JWGkaHotklppemWNuqRW0KDCooH8+pOSck18TX4VxtXM6uJhiXBS1TV+bXputF017aH6DX4oyKeTqEcNeu6dOm01FU4ez5L1IPWTnU5FzXirc9T3pc2nyr8KvjZba9JJ4Z8BftK3PjK8SYXXlL4pt9QuYuiDAg52ZIGCCCze9fW/huXVJ/D9lNrcQS8a1Q3Kjs+0Z/WrUdvBEd0UCKfVVAp9exlGT18sqznVxEqnNbe+lvVs+NxmMhiYxjGmo27f8Mgooor3jgCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooA+dP20v+CqP7G37BHinS/Avx/wDGmr/27qmkz6sujeGfDN5q1zaaZCcTahcpaxube2Q5BlfC8H0Ne4fDX4k+A/jH8PtF+K3wu8VWeueHPEWmQ6homsafLvhvLaVA8ciH0KkdeR0IBr8uv+Ckvhj4y/sy/wDBUj4i/tZ3P7M/j/4jeDvi1+yRqHw68NTeAPC02sSWWv8A2kyJaXUcIJt4JRg+c3yAsc9DX2N/wRt/Z2+Kf7KH/BMT4N/AH42WLWfirQPCKLrWnvKHaylllkn+zkqSC0YkCHBIBUgUAfTVFFFABRRRQByvxu+NHw9/Z4+FOt/Gn4q6tNZeH/D9p9o1G4trGW5lCllRVSKFWkkdmZVCqpJLCuO/Yr/bZ+BH7fvwW/4X5+zrqWq3Ph4azd6U7azo81hcJdWzBZkaGYB12sccjrn0rs/jV8WNB+Bfwt1n4teJ9A1/VLDQ7UXFzp/hfQZ9T1CZd6riG1t1aWZssDtVScAnoDX59f8ABtR491jRv2bfGH7PXjv4JfEvwj4htviN4h8T58a/DzUdJtZ7C+vy1v5U9zEiSSlSC0akso6igD9LaKKKACiiigAr5Yvv+Cyv7COj/tJad+y/4j8beI9I1rWPFEnhvRtd1jwRqVroeoavG/lvZQajLCtvLKJPk+ViN3Ga+p6/IP8AaY/aOv8A9uz/AIKneGfhj+0/+zd8bPDfwS+BPxDt7rwVY6X8GNYvV8c+KIpmhj1K5vYrcxWumQN8yYb96rb2YKxCgH6+UUUUAFFFFABXjf7Xv7dPwO/Ym0bTNV+L9j4u1CXWPtDWOmeC/BV/rd2YoEDzzvFZxOY4o1ZS0j7VGRzXslfHn/BYfxx8LV+Ctr8G/jJ8M/2jdR0bxFDdXNvr37POn6jLdW93DEY0tLl9ObzVSYTsQkimBzH85G0UAfQH7K37VHwN/bT+Beh/tH/s5eNU1/wl4gjkbTtQW3eFt0cjRyRvHIAyOjqyspHBFeh18Z/8EA/hd+0V8GP+CV3w3+Gv7Tnw7/4RXxBpaXqWWiT6fFa3UGmm6ka0N1HEAq3DRkM5I3EnLfMTX2ZQAUUUUAFFFeX/ALa1j+0fqv7JnxC0n9kFrNfibeeFrq38Ey39ysMUV/ImxJC7kKpXcWBPG5RmgDkv2e/+CmP7If7Uv7U3xE/Y7+CHxAuNa8Z/C1T/AMJekWmyCzgZZVhdI7gjZKySkowUnDKw7Gvfa/Gn/gjH+zt+2P8Asv8A/BXHxT4V8Z/8E+Z/h94SX4FaJoWr64fHH9q2qyW5803y362cUepXl1cFnmiQq0RlZiWAxX7LUAFFFFABRRRQB8u/Gr/grn+y/wDBD9orXv2WtS8E/FXxN4u8L21hceILbwF8KtV1yHT472MyWzSy2cLqgdVbGcfcYfwnH1DG4kRZACAwBAYYNfjh/wAFjfhxr+j/ALRPxG+JH7EHw5/a70f9qDxJf+G7fwprngKzvIvB2sRWoiVGuZof9Ekt0ie5VluzvWQnACMc/rx8Ph4wHgHQx8QzAfEA0e2/tw2uPK+2eUvnbMcbfM3Y9qANiiiigD//2Q==", 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", 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", "info": {"equation": "16/8=2", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "bd926023688b7669916b6cd4be0eb575e83987f6d562b832f48a5e8316cbca24"} +{"episode": 26744, "episode_seed": 2905039124, "split": "train", "timestamp": "2025-10-28T03:45:05.918373", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2905039124, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [1, 8, 0, 5])", "action": "('move', [1, 8, 0, 5])", "reward": 0.0, "image": 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", 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", "info": {"equation": "9/1=9", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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PgnQLXStI0r4kanbadp1jCI4reJY7fCqo/MnqSSSSSTX5vlGDlR4vqwdRvlTd+97aP7/wP6X418YMp4j8K6GR0suVOpaCb93kp8j+KlbVOVrapWUpK8t39EUUUV+kH80BWT478OeCvF/gvVfDHxH0nT7/AEC+sJYtZs9WjR7aW2KnzBKH+XZtznPA61rV+Y//AAc3/EH9qHwh+zt4Q0D4TXGr2vw91y8vrf4k3ulw/IW/0b7Fb3Eq/MkMha4BXhHZVVs/Kp4MzxkcvwFTESjzKK2XXp93fyPquCOHK3FvFeEymlXVGVWVlOX2bJy07y0tBXV5NK6vc+tf2MfgF/wTW+Geua7r/wCw3oXw4bUpbSG31+98Ha3DqM8UDMzRxu6yyNEjsjHblQ5iBOdgx7/9is/+fSL/AL9iv5QP2S/jD8c/gn8c9G8T/s9fELU/DevXc62DXum3iQ+ZbysqyRymT92Yzwx8z5VKq3BUEfuhP8cfh15riH/goLqZTcdp/wCFm6f07fw18hgeM8DTw6jKg4+UErfofpXi/wCGOY8I57SdXMHivbRupVG/arlsrSu5afyO+tmre7d/eKRRxDbHGqj0UYp1fM3wm+LXibx3c6dqnw6+JDeKYkZLUXdrqaXcM+wqGErxEpnON7cEbu2a+ma+kybOqWcwnKnBxUXbXrf+tV0PxjGYKeCcVKSd+wUUUV7RxBX84/8AwXn8f/tO+Jv2/fE/hT4+XGsRaFot3Ivw60+8hMVoukuRtnt1HyP5hX55eWZk2sRsCr/RxXjv7Zfwe/Yg+K/gvSj+3JovgmXRLDUz/Y17401KKySG6eNsxxTvJGQXRGJjDYYRgkHYCPC4hyyea4D2UanJZ312fr+fqfqvg/xzheAuK/r1fCPEKcXD3UnUi3rzU79Xblaurxb16P8AEX/gh/8AHD4j+D/iH4k+HOo/tCah4J+Hz6XLqN2sGvWunxy6sXgiiPmTDczGJJAVXjCgntX6D/EvWv2ZfjR4aPgj42/tdr4u8PPcJNd+Htd+J9sbK7ZM7BMkLRmVVYhwrHbvVWxlRj7c/Z4+HX7PXw7+EGj+Gf2ZtC8OWvgpIml0YeGZI5rOVWYlpElQsJSWzl9xJPU15/8A8FI/B/hbxj+yFrnhHxRoNte6ZqniLw3aahZzJ8s8EmvaejocYOCrEcEHng183V4XxmHy2TeMlyxi3yq/Ltey97Z+nyNuMePsLxRx3PNcPhfqt5xScbKouV253bl/edX7y1SXNpzHxj8QfAvw/wDgn+1t8Ita/Yx8H6VovxU1DxfaWOtaL4N0m2H2rwtI6/2jJe26DbDCkQ3rMVQl14YlQK/Uevg79lb9l/8AZ7/Zz/a/8CS/A74SaR4ak1TS9eXUZ7CNzJOqQWxVWeRmbaCSdoIGecZr7xr0OCaTjlUp8zd5PTordvXqfO8cZvh8xxFChScpqlG3tKiSqTu72aUpWjDaEeeVld315YlFFFfYnwx+Uf8AwdAeP/2nPDvw48FeEfA9zrFr8MdZ89fGM+nw4t571XQ20FxKvIUqHYRthWZQeSox+WP7CXxk+N3wb/aR8PXvwQ+J2p+FrjV9Rt7DWrzT9Qjt1k095kM6ytL+72hAWy/3SARg4r+pH4h/DvwN8WvBGp/Db4l+FLHXNB1m0a21TStRgEkNxE3VWU/gQRyCAQQQDXB/s8fsPfsl/sn3mpaj+zv8CNC8LXOsRJFqV1Yws0s8aElULyMzBcnO0EAnBIJAr4zNeGMVj81+tQr8q073jb+XbT5rdn9G8G+NuScM+G1Xh2vlqqVWppP3fZ1Od/FVvq3G9tE7qMVePT5gm+OHw7Lusf8AwUF1PbkhSPibp/T/AL5rofCnwy8DfGf4YRfCz4aapFeeHr+2+xQ32gXiXKRxiQB2Eo3pkMDknIBJBr7P+xWf/PpF/wB+xT0jjjXbGgUeijFZz4Qr1pxdfFymou+qb+68nY/Do5xCEWoUUr/12Fooor7c8MKKKKAOQ+JXwi034h3EOo/2k9ndwx+WJViDq6ZyAwyOmTjBH3j1rX8EeDNL8CaEuh6W7yDzGklmkxukY9zjjoAPoBWxRXDTy3A0sZLFRglUlu/60+ZvLE15UVScvdXQKKKK7jAKKKKACiiigAooooA8H/aI8KBfiePGzeHFWabR4NPXVI1YmWFJJZFiY/dBV5ZSBwfmPWuv/Ze+GJ+GfgbUvN+1LNr/AIjutYniuwA0TzbF2gYBC4jGAcnnrXpOAeoorwsLkccNnFXH+0bc1a1tr269dtNF8zvq451cHHD8trdQooor3TgCs7xf4Q8LeP8AwvqHgnxv4es9W0fVbR7bUtN1CBZYbmFxhkdGBDAg9K0aKTSasyoTnTmpwdmtU1un3R5L+zx+wj+yD+yhrOo+I/2efgFoPhfUNWtVtr+/soXeaSFW3CIPKzMqFsEqpAYqpOdq49W+xWf/AD6Rf9+xUlFRSpUqEOSnFRXZKy/A6cdmGPzPEPEYyrKrUdrynJyk7aK7bb0WiGpFHENscaqPRRinUUVocgUUUUAFfzj/APBef4gftPeJv2/PFHhP4+XOsRaFot5Ivw7068hMVoulORsnt1HyP5hX55eWZk2sRsCr/RxXnf7RP7Jf7N37Weiaf4d/aN+D+j+LLXSbprjTF1OJt9rIy7WKSIVdQwxuUHa21SQSqkeHn+VVc3wXsac+Vp38n5P8/U/UfCTj7AeHfE7zHGYX20JQcLq3PC9nzQvpd25Wrq8W9ej/AAv/AOCJP7Q3xc8O+Nta+E+vftL6x4P+G1rpE98tqviW3sYE1R5YVTy2nBILIJiVTgkZbnBP6L6j8Vfgp4hiisPGf7aI8QWEd3BctpWtfEWxltpZYZVmhZ0XaW2SpHIOfvIucjg/afwh+B/wj+AfgCy+Fvwb+HumeHfD+nbvsml6dbhY0LMWZjnJZiSSWYknua6b7HZ/8+sf/fsV4VPhLHRw6pvGyStayTt5r4lp8jPj7j3L+L+Kq+a4fBRpRnay05nbTmk0rc73dr20V3a7+fPgj8MX8R/GHRfibOLpF8NWV/HAyqBFK10kaMGJHJAjBABGM819D0YA6CivpMmyuOUYJYdS5tW72tv5a/mfnmMxTxlf2jVgooor1TlCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAzPGfjLwp8O/CWp+PfHXiC00nRdGsZbzVdTvphHDa28alnkdjwFCgkmvlz9m7/gt7/wTw/an+MOifBD4Z/FDWbXWPFiXDeCLnxN4Rv9LsvFAgYiT+zrm5iSO6xg8IcnGBkkCu0/4Ks/s9/Ej9q3/gnL8Yv2ePhAEfxN4q8EXdnosEkwjW4nwHWEseFD7dmTx83NflH8Ofhj+0r+2dr/APwT0/Zk8F/sd/FLwLq37L+oRXXxc8UeNPBs+ladpK2gskZLS6lAS8MptHZRETktFnqSoB+71FFFABRRRQAUUUUAeR/tlftwfs+/sHfDOD4q/tDa3qttp15em0sLbQ/D91qV1dTLE8zKkNtG7YWOOR2Y4VVUkkVsfso/tSfCL9tH4BeHv2lvgRql5e+FPE9u82k3N/YPbSuiyNGS0bgMvzIev1rzH/grB8a9J+EH7E/jTR7z4eeOfEt9408P6l4e0Wx8B+Cr3W7gXk9jP5bSx2iO0MJK7TKwCgsozkgV4X/wbc/EW9tv+Cc/g39l7xl8HfiN4R8W/DjRVj8RW/jfwBqGjwO9xdXLottNdRItzhVy2zO3cucZGQD9BqKKKACiiigAooooA+Tv2m/+C0/7C37JHjnWfBHxh1vxtGnhq8itPFHiLSfhxq15o+jTyFQsdzfRQGCNvnXjcfvDvX0x8O/iH4I+LfgPR/if8NPE9prXh/xBp0N/o2rWEu+G7tpUDxyIfQqQeeR0ODX5P/8ABaf9sz46/tK/GnVP+CXul/AP4y+DvgnIEj+Lvxc8NfBnVteudehHlzHTNIW3geNUfhXumJHDADC7ZP0o/Ym0X4Q+G/2S/h94b+AfgzXvD3gzTvDFtaeHNG8U6RcWGo21tEuxRcwXKrLHKdpZg6gktnHNAHqNFFFABRRRQAVS8SeItG8IeHb/AMV+I75bXT9Ms5bu+uWUkRQxoXdyFBJwoJwATxV2sX4j+LbvwD8Ptc8c2Hg7VfEU+jaRc3sOgaFCkl7qTRRM4trdHZVaWQrsQMygswBI60AfMHws/wCC3f7BfxU+Pnhn9m2DXvG3hzxL42Zl8Ff8Jv8ADjVdGttfIzg2k13AiyhsfKRw2QAckV9c1+H8fw48bfG//gtB8Cv2kv2FPgL+0rNHp3iW/uvi9f8A7RXh3URonh/TbmbdPHpp1cH7NKFaYRranap8kJxmv3AoAKKKKACiiigArJ8e+O/Bvwu8E6v8SPiH4ktNG0HQdOmv9Z1a/mEcNnbRIXkldj0VVUk/Stavhv8A4LWfs9/ts/tQeHvhp8K/2ePgppnxE+G0fiv+1fjD4FvPHkXh1/EltbbJLPT3u5IpcWrTjfMixsXESrlc7gAex/8ABPv/AIKcfsmf8FOfBXiD4gfsleKNW1XTPDOqpp2qzaroU9iyzvH5ihVmALDb3HTpX0DX5Lf8G1ngr9sb4YfGL9qPRvjn+xfe/Drw94l+Meqa0moahqTRpb3jXEmLGyhe2jF7aKrHbexERsEGEG4Y/WmgAooooA//2Q==", 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", 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PgnQLXStI0r4kanbadp1jCI4reJY7fCqo/MnqSSSSSTX5vlGDlR4vqwdRvlTd+97aP7/wP6X418YMp4j8K6GR0suVOpaCb93kp8j+KlbVOVrapWUpK8t39EUUUV+kH80BWT478OeCvF/gvVfDHxH0nT7/AEC+sJYtZs9WjR7aW2KnzBKH+XZtznPA61rV+Y//AAc3/EH9qHwh+zt4Q0D4TXGr2vw91y8vrf4k3ulw/IW/0b7Fb3Eq/MkMha4BXhHZVVs/Kp4MzxkcvwFTESjzKK2XXp93fyPquCOHK3FvFeEymlXVGVWVlOX2bJy07y0tBXV5NK6vc+tf2MfgF/wTW+Geua7r/wCw3oXw4bUpbSG31+98Ha3DqM8UDMzRxu6yyNEjsjHblQ5iBOdgx7/9is/+fSL/AL9iv5QP2S/jD8c/gn8c9G8T/s9fELU/DevXc62DXum3iQ+ZbysqyRymT92Yzwx8z5VKq3BUEfuhP8cfh15riH/goLqZTcdp/wCFm6f07fw18hgeM8DTw6jKg4+UErfofpXi/wCGOY8I57SdXMHivbRupVG/arlsrSu5afyO+tmre7d/eKRRxDbHGqj0UYp1fM3wm+LXibx3c6dqnw6+JDeKYkZLUXdrqaXcM+wqGErxEpnON7cEbu2a+ma+kybOqWcwnKnBxUXbXrf+tV0PxjGYKeCcVKSd+wUUUV7RxBX84/8AwXn8f/tO+Jv2/fE/hT4+XGsRaFot3Ivw60+8hMVoukuRtnt1HyP5hX55eWZk2sRsCr/RxXjv7Zfwe/Yg+K/gvSj+3JovgmXRLDUz/Y17401KKySG6eNsxxTvJGQXRGJjDYYRgkHYCPC4hyyea4D2UanJZ312fr+fqfqvg/xzheAuK/r1fCPEKcXD3UnUi3rzU79Xblaurxb16P8AEX/gh/8AHD4j+D/iH4k+HOo/tCah4J+Hz6XLqN2sGvWunxy6sXgiiPmTDczGJJAVXjCgntX6D/EvWv2ZfjR4aPgj42/tdr4u8PPcJNd+Htd+J9sbK7ZM7BMkLRmVVYhwrHbvVWxlRj7c/Z4+HX7PXw7+EGj+Gf2ZtC8OWvgpIml0YeGZI5rOVWYlpElQsJSWzl9xJPU15/8A8FI/B/hbxj+yFrnhHxRoNte6ZqniLw3aahZzJ8s8EmvaejocYOCrEcEHng183V4XxmHy2TeMlyxi3yq/Ltey97Z+nyNuMePsLxRx3PNcPhfqt5xScbKouV253bl/edX7y1SXNpzHxj8QfAvw/wDgn+1t8Ita/Yx8H6VovxU1DxfaWOtaL4N0m2H2rwtI6/2jJe26DbDCkQ3rMVQl14YlQK/Uevg79lb9l/8AZ7/Zz/a/8CS/A74SaR4ak1TS9eXUZ7CNzJOqQWxVWeRmbaCSdoIGecZr7xr0OCaTjlUp8zd5PTordvXqfO8cZvh8xxFChScpqlG3tKiSqTu72aUpWjDaEeeVld315YlFFFfYnwx+Uf8AwdAeP/2nPDvw48FeEfA9zrFr8MdZ89fGM+nw4t571XQ20FxKvIUqHYRthWZQeSox+WP7CXxk+N3wb/aR8PXvwQ+J2p+FrjV9Rt7DWrzT9Qjt1k095kM6ytL+72hAWy/3SARg4r+pH4h/DvwN8WvBGp/Db4l+FLHXNB1m0a21TStRgEkNxE3VWU/gQRyCAQQQDXB/s8fsPfsl/sn3mpaj+zv8CNC8LXOsRJFqV1Yws0s8aElULyMzBcnO0EAnBIJAr4zNeGMVj81+tQr8q073jb+XbT5rdn9G8G+NuScM+G1Xh2vlqqVWppP3fZ1Od/FVvq3G9tE7qMVePT5gm+OHw7Lusf8AwUF1PbkhSPibp/T/AL5rofCnwy8DfGf4YRfCz4aapFeeHr+2+xQ32gXiXKRxiQB2Eo3pkMDknIBJBr7P+xWf/PpF/wB+xT0jjjXbGgUeijFZz4Qr1pxdfFymou+qb+68nY/Do5xCEWoUUr/12Fooor7c8MKKKKAOQ+JXwi034h3EOo/2k9ndwx+WJViDq6ZyAwyOmTjBH3j1rX8EeDNL8CaEuh6W7yDzGklmkxukY9zjjoAPoBWxRXDTy3A0sZLFRglUlu/60+ZvLE15UVScvdXQKKKK7jAKKKKACiiigAooooA8H/aI8KBfiePGzeHFWabR4NPXVI1YmWFJJZFiY/dBV5ZSBwfmPWuv/Ze+GJ+GfgbUvN+1LNr/AIjutYniuwA0TzbF2gYBC4jGAcnnrXpOAeoorwsLkccNnFXH+0bc1a1tr269dtNF8zvq451cHHD8trdQooor3TgCs7xf4Q8LeP8AwvqHgnxv4es9W0fVbR7bUtN1CBZYbmFxhkdGBDAg9K0aKTSasyoTnTmpwdmtU1un3R5L+zx+wj+yD+yhrOo+I/2efgFoPhfUNWtVtr+/soXeaSFW3CIPKzMqFsEqpAYqpOdq49W+xWf/AD6Rf9+xUlFRSpUqEOSnFRXZKy/A6cdmGPzPEPEYyrKrUdrynJyk7aK7bb0WiGpFHENscaqPRRinUUVocgUUUUAFfzj/APBef4gftPeJv2/PFHhP4+XOsRaFot5Ivw7068hMVoulORsnt1HyP5hX55eWZk2sRsCr/RxXnf7RP7Jf7N37Weiaf4d/aN+D+j+LLXSbprjTF1OJt9rIy7WKSIVdQwxuUHa21SQSqkeHn+VVc3wXsac+Vp38n5P8/U/UfCTj7AeHfE7zHGYX20JQcLq3PC9nzQvpd25Wrq8W9ej/AAv/AOCJP7Q3xc8O+Nta+E+vftL6x4P+G1rpE98tqviW3sYE1R5YVTy2nBILIJiVTgkZbnBP6L6j8Vfgp4hiisPGf7aI8QWEd3BctpWtfEWxltpZYZVmhZ0XaW2SpHIOfvIucjg/afwh+B/wj+AfgCy+Fvwb+HumeHfD+nbvsml6dbhY0LMWZjnJZiSSWYknua6b7HZ/8+sf/fsV4VPhLHRw6pvGyStayTt5r4lp8jPj7j3L+L+Kq+a4fBRpRnay05nbTmk0rc73dr20V3a7+fPgj8MX8R/GHRfibOLpF8NWV/HAyqBFK10kaMGJHJAjBABGM819D0YA6CivpMmyuOUYJYdS5tW72tv5a/mfnmMxTxlf2jVgooor1TlCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAzPGfjLwp8O/CWp+PfHXiC00nRdGsZbzVdTvphHDa28alnkdjwFCgkmvlz9m7/gt7/wTw/an+MOifBD4Z/FDWbXWPFiXDeCLnxN4Rv9LsvFAgYiT+zrm5iSO6xg8IcnGBkkCu0/4Ks/s9/Ej9q3/gnL8Yv2ePhAEfxN4q8EXdnosEkwjW4nwHWEseFD7dmTx83NflH8Ofhj+0r+2dr/APwT0/Zk8F/sd/FLwLq37L+oRXXxc8UeNPBs+ladpK2gskZLS6lAS8MptHZRETktFnqSoB+71FFFABRRRQAUUUUAeR/tlftwfs+/sHfDOD4q/tDa3qttp15em0sLbQ/D91qV1dTLE8zKkNtG7YWOOR2Y4VVUkkVsfso/tSfCL9tH4BeHv2lvgRql5e+FPE9u82k3N/YPbSuiyNGS0bgMvzIev1rzH/grB8a9J+EH7E/jTR7z4eeOfEt9408P6l4e0Wx8B+Cr3W7gXk9jP5bSx2iO0MJK7TKwCgsozkgV4X/wbc/EW9tv+Cc/g39l7xl8HfiN4R8W/DjRVj8RW/jfwBqGjwO9xdXLottNdRItzhVy2zO3cucZGQD9BqKKKACiiigAooooA+Tv2m/+C0/7C37JHjnWfBHxh1vxtGnhq8itPFHiLSfhxq15o+jTyFQsdzfRQGCNvnXjcfvDvX0x8O/iH4I+LfgPR/if8NPE9prXh/xBp0N/o2rWEu+G7tpUDxyIfQqQeeR0ODX5P/8ABaf9sz46/tK/GnVP+CXul/AP4y+DvgnIEj+Lvxc8NfBnVteudehHlzHTNIW3geNUfhXumJHDADC7ZP0o/Ym0X4Q+G/2S/h94b+AfgzXvD3gzTvDFtaeHNG8U6RcWGo21tEuxRcwXKrLHKdpZg6gktnHNAHqNFFFABRRRQAVS8SeItG8IeHb/AMV+I75bXT9Ms5bu+uWUkRQxoXdyFBJwoJwATxV2sX4j+LbvwD8Ptc8c2Hg7VfEU+jaRc3sOgaFCkl7qTRRM4trdHZVaWQrsQMygswBI60AfMHws/wCC3f7BfxU+Pnhn9m2DXvG3hzxL42Zl8Ff8Jv8ADjVdGttfIzg2k13AiyhsfKRw2QAckV9c1+H8fw48bfG//gtB8Cv2kv2FPgL+0rNHp3iW/uvi9f8A7RXh3URonh/TbmbdPHpp1cH7NKFaYRranap8kJxmv3AoAKKKKACiiigArJ8e+O/Bvwu8E6v8SPiH4ktNG0HQdOmv9Z1a/mEcNnbRIXkldj0VVUk/Stavhv8A4LWfs9/ts/tQeHvhp8K/2ePgppnxE+G0fiv+1fjD4FvPHkXh1/EltbbJLPT3u5IpcWrTjfMixsXESrlc7gAex/8ABPv/AIKcfsmf8FOfBXiD4gfsleKNW1XTPDOqpp2qzaroU9iyzvH5ihVmALDb3HTpX0DX5Lf8G1ngr9sb4YfGL9qPRvjn+xfe/Drw94l+Meqa0moahqTRpb3jXEmLGyhe2jF7aKrHbexERsEGEG4Y/WmgAooooA//2Q==", "info": {"equation": "9/1=9", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "b03032512c7fc8a4f5be2a8d2ca7c90ec02e38dc72f7288dfc51fccdedd9c04f"} +{"episode": 26745, "episode_seed": 1626599087, "split": "train", "timestamp": "2025-10-28T03:45:05.979858", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1626599087, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 6])", "action": "('move', [0, 1, 6, 6])", "reward": 0.0, "image": 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fMpXcvIFe+U2ckQuV67Tj8q+tr0nWoSpp25k1dbq63XofM5TjoZZmtDGSpqoqU4zcJfDJRknyy8pWs/Jn8wn/AASv+LfxH+Gf7ZXhyLwh8XtR8I6br0zWni7UbTV47RZNPAMr+ZJN8gwyKQT82eBycH9k/DfxF+GPi7xTp9p/w1MfGeoxSSNpGmah42tL5o5TE6tJFFFhi/lNIuecKzcdxn/8E7v2bvgP8HPiz4A8W/C/4WaVoup+JPAN3Lrt9axsZLxvJsZPmLs2Bvdm2rgZPTgY+9ltbVGDJbRgjoQgr81yXh/EZnljksTKEW2uWza+7mW/ofrni14iZdxhxTHHYbB+zUacY3lbnk1d3dk9r8q1eiW2y4z9njwS3gH4XW2jyCcPdahfahIlyAGRrq6luCuMDABkwAecYzk129FFfpGFoLC4aFFO6ikvuVj8Xq1HVqym+rbCv51f+DhPxb8cNd/4KQeI/D3xWm1FdE0iwtE8BW11Fst1014UZ5YAOGDXHnhn5JaPaT8gA/oqrzT4/wD7HP7L/wC1PfaLqf7QvwT0PxZceHpHfR5tVtyzW+8qWXKkblJRSUbKnHSvLz/Kqub4H2FOfK7p67Pyf5+qP0zwk49wHh3xU8zxmHdaDpyhpbmi3ZqUb2V9OV6r3ZP0f54/8E//ANpTxH4s/ZC8G638e/26db07xLJaTRz2l18QLG2ljt0nkS23I4LgmBYzl/mbOW5Jr7t/Zl+IGu+PdUXV9L8YnxBos9gSdTS9W4hkK4RXWRPkLEqQdvX5uMjj2aPT7CKNYorGFVVQFVYgAAOgFSoiRrtjQKB0AGK87B8N4zD4qnVnjJyUXezvZ+XxP8tj5XO+IMPm+PxOJp4WNJVpykoxtaPNJuy0WivZbbC0UUV9YfMnxl/wXv8AF3xy8Gf8E2/FeofA2XUYXub+1tPFV1pcW6WHRpC63JJHzIhPlo7DojtnCliPx/8A+CLnxT8XfD/9qe40Oz+M954K8M6voc7eJ7611i3sFlEKMbZWlmBAPnOMKvJ3HtnH9IusaRpXiDSbrQde02C9sb62e3vbO6iEkU8TqVeN1bIZWUkEHggkVwP7PX7I/wCzZ+yjoOoeGf2ePg9pHhWy1W7W61KLT4mJuJVUIpd5GZiAOgzgZYgAsc/K5xw9icyzGGJp13BJW63XpZre+uq+Z+z8KeKGV8PeGuYcNVsCqlTESbjPTl95RV5315qfLena+ttrXfxnr3hj9kj49+IBqXxZ+KuhfFG803R7qO2i8YeLrXVE0yzYA3UkUQYJACAm+faGARPnXaK97/4JL33iS6/Y6sbG/lvJvDum+JNWsfh3dX1usbz+G4bp005xjG+PyQAjn70aockEMcb/AIKFfs7/AAQ/aB+LPw68O/Gj4Z6b4isbDQ9dubO2vg4WKU3GlKXGxlJ+UkYORz0r2L9jC0tbD9lPwDYWNtHBBB4at4oIIUCpGirhVVRwoAAAA4AFefkOBqYPiPEU51XNxirt9b2eur22Wp8nmOd0a/CFLCLmlKU78srclJR59Kerd5815e7BK1rSvdenUUUV90fCHiXx0+Bv7A3jr9oLwd42/aD8N+Abj4k2rQr4LfxBqEMWozmOYvEsMLSKbjbKSVG18MTjk17SbO0JybWP/vgV/Mh/wVf+IH7Qupf8FJPiRrnxi1XWLTXtC8XzweGXm3QSWWlwzs2nNb7cbE8kxyqy/eZy+dzE1+pv7N37SU/iD4EeCvFPxh/bx1O38VXnh6zufEFpP8QtPh2XTIGdWiC/Jz1Xt04r4aHGGDw+KrQnQatK14pXdtLy21+8/cuPfC3MeG+GMpx1TMVXVaGkG3andKdqWrvDXVpR1s7e9p+kqqqDaqgAdABS15V+zb4v8R+Mhe6zLrTanpN1Alxa34n82KRn+YGJxlWVlOflOMbcdefVa+qyzHwzPBxxEYuKd9H5Ox+K4rDywtZ0272Cvzj/AODmTxd8cfDf7E2i6Z8NptRg8L6t4pW28eT2Efym32breKZxykTzAegZgik8gH9HKxviF8PfBPxY8D6r8NfiR4YtNa0HW7J7TVdLv4t8VzC4wysP1BGCCAQQQDVZlhJY7A1KEZcrkrX/AK6dH5Hv8F5/Q4W4qwebVqKqwozUnB9V5X05l8UX0kkz8Af+CGHxe8UeDfHnjTwdq37QN94H8Hz6Ol7N9n8QW2nJcamJoo4vnmBLnyfO+VeMAE/w195ePfh9+w/8arXxH42+NHj7w78Q54vD4g1fxB4n8UW2p3GlacrEqInDBbRRISwZApZ2wSc4r7v+Bf7OPwN/Zn8Br8MfgR8MtL8M6Et3JdHTtOhO155Mb5GZiWdiFUZJJwqjoAB8sf8ABQX9mv4C/Gr9oS+8Q/Fj4VaTr154e+GdnNo01/GxFs5utTckKGCuC0aHDBh8vTk5/O824exeWZPz1MQ5KNvc15dX016X7H6NnniDl/FniFVzahTnhac7e9Tt7VqMVrK0oq8mlf3mo6fFbX3L/gnNrnxU8SfsP/DXWfjQt9/wkM3hxPtD6paCC5ltw7raySxgDbI9sIXbIByxyAciva65z4PMW+EnhZmOSfDliST/ANe6V0dfpeHg6WHhBu9kld7uy3Z+P5ni44/Mq2JjBQVScpKMdo8zb5V5K9l5BX5TW3xX8TR/sF+LvF3jn4g6pB8XbnU9QOsxTiI6tD4zF432SwjtTn5hLBbRwwqpzbxoVBX5j+rNfAfx8/Zy+Beu/ta+Mf2gda+F2l3PjTTfiX4disPEU6M08CrDoqrtG7ZkK7ANtyM8HIFfJ8ZYeVXD0JKbVppaf3uvqraerPquDcyyvB+2pY2k5K8KiaUW26fN+7fNa0KnP7zV2uWL5JbFD/gvt41/aX0H/glrptz4RTUbWbV9R0y0+KL6dbjMNhLay+ekhXPlxNd+RG204IfYTtYg/Hn/AAa56/8AGK2/ao8ceG/DsF2/ge68ILP4odbYNBHfRzAWO6Qj5HKvdhVB+YB+DtyP19/bZ0rTtd/ZG+I2h6xZpcWl74Qvbe7t5PuyxPEVZT7EEj8a8l/4J7fAj4O/s+fFPx54N+Cfw707w3plz4f0W6uLTTlbEsxudUXezOzMx2qAMngDjFTjsLL/AFtwsud6xf8A5Kn+fX5n3GS+I+X4HwkzHhyWCi6lad1NW5bScXeS35oW9y3lty6/VdFFFfaH4gfhL/wc8+Lvjjdftd+GvBPiqfUY/Adr4WjuvCVu0e20mumZlvJFI4klBEStnlVK8ANlvS/+CSn7RXinVP2PrCx+NP7Z+s+H20nVptO8M6XN44s7Mw6VFFCsSrHKC+wP5yqW/hUAfKFr9UP2hv2WP2ev2r/DFn4N/aJ+FGleK9N069+12NvqSNm3m2MhdGQqy5ViCAcHjIOBjr/D3hLwv4S0Cx8K+GPD9nYabplnFaafY2tuqRW0EahI40UDCqqgAAdAK+MxPDGNr5nVxMMS4KXa9/R6rRdD9rzXxUyrMPDHAcMRwCVWhK7m+Xl0v70dG+ed7zbtrfe+ny1+z94Y8HfE3WtBuPBHjEa9Yad4j/tW61qy1OO8+0XSSPNI00yZUs8jktjBy3GK+tabHHHEu2KNVHooxTq9vJcp/sjDypuo5uUnJtq29vN9u5+QY3F/XKily2SVrBXh3/BSbxJ8VPCH7D3xC8RfBm81a11220qHN5oNv5t7aWLXUK308C4J82OzNxIpALKUBAJAr3Gjr1r069J1qE6aduZNXW6urXXoVleMjl2Z0MXKmqipzjJxe0uWSfK99Haz0eh+Ynx9+MvgvwD4j+BmlfB79oGPw3Dfa6tsl1omv2kYl8M/Y5BPI00hYJFugtwsgPzOpUEnivY/h98dfDM2v/2P4c/bDufE15qERhh0q48c2l2zkYcmOOLD7wFPI/h3dq+ivgb+xl+yx+zT4g13xV8B/gboHhjUPErhtautMtSrXGHZwoySI03Ox2JtXpx8ox6UtraowZLaMEdCEFfEYfhDH08P7N4xx30je3/pS366H02cZ9k1arThgqDcIL45qKnJtt6qPMly35V7zulfS/Ksj4c3WvXvgnT7nxMri9eHM3mLhjydpYdiRgketbdFFfb0KTo0I03JvlSV3u7Ld+bPjqklObla12FFFFakBRRRQAUUUUAFFFFAHkP7TGhS3Wv6D4ij0QSyWlvcW1vdojM6+c8LPFxxhjDER3JXiu2+CfglPhx8JPD3gaOSZhpmlRQ5uCN/A5zgAZ59K6iivKw+Vxw+aVsbztuokrdrLv8AI6qmKdTCwo2+G+vqFFFFeqcp5l8Uf2NP2WvjV8V9C+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": "52-4=48", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "52-4=48", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "c228610718c41d6b279dd68a384fb1bedc2baad92e00dc4fda084229c732917f"} +{"episode": 26746, "episode_seed": 752446853, "split": "train", "timestamp": "2025-10-28T03:45:06.034787", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 752446853, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 8, 3, 4])", "action": "('move', [2, 8, 3, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "64/8=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", "info": {"equation": "64/8=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "d69fc58c62174c905e77e757d49be34f3ca06e68ff14b645d823a44dafcb9262"} +{"episode": 26747, "episode_seed": 526568510, "split": "train", "timestamp": "2025-10-28T03:45:06.095900", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 526568510, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 0, 1])", "action": "('move', [6, 4, 0, 1])", "reward": 0.0, "image": 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", 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", "info": {"equation": "95/19=5", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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U/ZE8M+AbfW7q8WLxqfCV/DczW8vmSssMypI/2b5xL+7wgyh4+QY5T/gpB8FfhR8cND+HvgH4teA7HXdGk8YzzvYXYZUMkelXxRsoVbIJPevzfE8NYrBZPUqPFNxSb5Vflevr9+m5+1cfeJGB4z46o42jhp4RRhGDlZe22bbsnG+kuWK51eO7Sdlif8Elb26TwD8RfCfg+/uLv4Z6D8Qp7H4XTuRJbJYi3ha6gtJsnzrWK+a6ijbLABNoYhcD6zrxj9gXwr4b8C/s3Wngvwbodtpmk6V4l12103T7OPZFbwpqt0FRR2AH4nqck17PX3WSwdPKKCbv7kXr5q/4bH5DxLj4ZnntfEwjZSl13dko80rbznbmm+sm2FFFcR8aviHD4U0N9BsZG/tHUISsO0D92hOGc/qB7/SujHYyjl+FlXquyivv7Jeb2PIoUZ4iqqcN2eI/tVfEXxP428UWPw8+GdyP7c8Q6kNC8LMERxDIys9zfFGkUOkEMc05wfmESL1YA/Qvwr+GnhT4OfDnRfhd4IsBb6Xoenx2togA3MFHzSOR953bc7N1ZmZjyTXh37GPgKXxt451v9pbXrNltYPtHh3wNFKVO20imC3t4FMYZDPcQhF+Y5ito2GA5z9I143DmEqqjPHV/wCJWfM/KPRfd+nY7cyqw51Qp/DDT59WFFFFfSHmhRRRQB/P9/wcoeLfjjqn7fp8JfECXUU8H6V4es5PAFvNFstWilgjN3NFjh3NysiOx+bESKeFWv1A/wCCEmvfGLxB/wAEzvAU/wAZILtZbZbi28OPe2wieTR4322jAAAsmwYRiMsiqeRgnT/4KHfs/fBb9ob4sfDnw78bfhzp/iSx0/Q9dubK21DftimNxpSlxsZT90kYORz0r2D9jC1tbD9lPwDYWNtHDBB4at44IYUCpGirhVVRwAAAABwAK+MyzDSpcWYtubeif/gVnb5bI/a+LPETL898K8q4fpYNQqYd+9PS3uqUbxtrepfmqXt73817r06iiivsz8UP5hv+CtvjL47+Jv8Agov8Trn463GpJqul+Krmz0GG+i8v7PpEczHTxCo4EZgMcgI+8ZGc5Zia/Ub4I/HLTviZ+zR4ZH7QX7c+qDW9e8JQDxdpsvxIsrQmWaHE0bLHtaLIYghSrLnggivsb46fA39gbx1+0F4O8bftB+G/ANx8SbVoV8Fv4g1CGLUZzHMXiWGFpFNxtlJKja+GJxya9K+K9paj4X+JXFrHkaBeHPlj/ng9fCLhXFvE1qkMW48zvpe76+9qtdfM/deOvFLAcTcN5RgKWXexlhoL3mklolH91ZX5G43e3vJLpd/BfwG8B/CX4Rft5fB20/ZE8NaPpcutaDqdv45s/CVpC9vP4WSyMltdXRTO0C+WzWKcndKZJBufB2/ovXxD/wAE5v2cvgX8AvjNo8/wa+F+l+HpNc+GF3Nq8tijl7p1n0kqWZ2Y4BdyACACxOOa+3q9Dg2m4ZKne95Sfp0svuv8z8742zOjmWZ01TlKfs6ai5zspzfNKfNJKUtubkj70vdjHXoiud+Lfhf4Y+Nfhhr/AIW+NOnaVd+ErzSZ08Rw62yrafY9hMrSs5ARVUFi5I27d2RjNdFX5x/8HMni745eG/2JtF0z4bT6jB4X1bxQtt49nsI/lNvs3W8UzjlInmAz2Zgik8gH3cyxUcFgKleUeZRW3f8A4HfyObgnIa3E/FmDyulW9jKrNJT/AJba3W3vae6rq8rK63PtD9lP4Y/so/DX4QwaB+x/pHhSLwZLfT3EL+E7yO7tJrksFlczI7+Y+VCkliQEC8BQB6THBBEcxQopPUqoFfz4/wDBDX43eOPCfi7xf8O9c/aP1TwV4GGlf2gLeLxNb6fBJqrSwxqymcHLmFZMhOoRd3Ra/VL4P/GYeILpvD/w6/aOuvGt5HcLcGIeJ4NRmizhACIORGfRhjJNfJ4fjTBRw8Y+wknorRSt8v008j6nxE4DxvDHF+JwNXF+3aal7STfO+ZKXv3v72uur79bH1/RTIDM0CNcKBIUHmBegOOcU+vuU7q5+XBX8pXx7+Kn7Tbftj698VvivrWr2fxU0/xn9purm8jEdzY6jbzDylVDlUERjjVFHyBUUD5QK/q1rxLX/gb+wPqX7YenfE/xH4b8Av8AG1bRZdOe51CEazJEkDosy2xk3SFYVcCTYSFTggIMfO8Q5PVzaFJQq8nLLr1v+q6er1P2Twf8RcF4fV8wniMC8T7alZWSvHlu7SvtSlf949fhi7M+VL3x/wDB/wCKPwug8HfHD9tCbWrLVdJt08T6BqXxNs1trtiiNNBMIShMZcMrIGAZcqcgkHqf2NND8OfDL/goNc/Dv9m7S7bTfC178Opr74m6D4etYl0yy1BZ7dNKndY/lt7qWE3YKjaZIoUchsBq+mv21/D+ia3+yP8AEbRdW0qCe0vPCN7BdQPGNskbxFWU47FSR+NeUf8ABPb4D/Bz9nv4p+PPB3wT+HeneG9MufD+i3Vza6cjYlmNzqi72Z2ZmO1VAyeAOMV8/TyrEYHiTCwqYiVRtSd3e9knpu9H1PnMFxBh4cP42PLJc6cVSVvZXnZOctfihZOCUH70YtyXLZ/VlFFFfoZ+fH4S/wDBzz4u+ON1+134a8E+Kp9Rj8B2vhaO68JW7R7bSa6ZmW8kUjiSUERK2eVUrwA2W9L/AOCSn7RXinVP2PrCx+NP7Z+s+H20nVptO8M6XN44s7Mw6VFFCsSrHKC+wP5yqW/hUAfKFr9UP2hv2WP2ev2r/DFn4N/aJ+FGleK9N069+12NvqSNm3m2MhdGQqy5ViCAcHjIOBjr/D3hLwv4S0Cx8K+GPD9nYabplnFaafY2tuqRW0EahI40UDCqqgAAdAK+MxPDGNr5nVxMMS4KXa9/R6rRdD9rzXxUyrMPDHAcMRwCVWhK7m+Xl0v70dG+ed7zbtrfe+ny1+z94Y8HfE3WtBuPBHjEa9Yad4j/ALVutastTjvPtF0kjzSNNMmVLPI5LYwctxivrWmxxxxLtijVR6KMU6vbyXKf7Iw8qbqOblJybatvbzfbufkGNxf1yopctklawV4H/wAFRfFXxv8ABH7AHxR8Vfs5vqCeL7Lw7v06bSYd9zBCZoxdSxDqHS2M7hh8yldy8gV75R1616dek61CVNO3MmrrdXW69DTKcdDLM1oYyVNVFSnGbhL4ZKMk+WXlK1n5M/mC/wCCV3xb+I/w0/bJ8OReEPi9qPhHTdela08XajaavHaLJp4BlfzJJvkGGRSCfmzwOTg/sn4b+Ivwx8XeKdPtP+Gpj4z1GKSRtI0zUPG1pfNHKYnVpIoosMX8ppFzzhWbjuPp34HfsZ/ss/s1eIde8V/Aj4G6D4Y1DxNIG1u60y1KtcYdnCjcSI03Ox2JtXpx8ox6StraowZLaMEdCEFfDUeDcbHDeyli2k73ik3H/wBKXz0P1TxQ8Tcs464ljmOEwXs4xhGF5cvPJq7bdk1pfljq9Enpey4z9njwS3gH4XW2jyCcPdahfahIlyAGRrq6luCuMDABkwAecYzk129FFfb4WgsLhoUU7qKS+5WPx+rUdWrKb6tsK5H4jfCLS/iHqFrqVxqctrJAvlymKMN5keScc9CCTg8jk8GuuoqcXg8NjqDo1480X09PQdGtVoT56bsyOztILC0isbWMJFDGscajsoGAPyFSUUV0JKKsjJtt3YUUUUwCiiigDyH9pjQpbrX9B8RR6IJZLS3uLa3u0RmdfOeFni44wxhiI7krxXbfBPwSnw4+Enh7wNHJMw0zSooc3BG/gc5wAM8+ldRRXlYfK44fNK2N523USVu1l3+R1VMU6mFhRt8N9fUKKKK9U5T+Yz/gq/8AED9oXUv+CknxI1z4xarrFpr2heL54PDLzboJLLS4Z2bTmt9uNieSY5VZfvM5fO5ia/Uf9n79oKLxr+zz4R1T45ft1akviLVfDFtJ4n0+5+IWnwgzyRAyxvEANmckFeCMkcGvt/4o/safstfGr4r6F8cvit8D9B13xb4a8r+xNcv7YtNbeVIZYxwQHCSEsocMAScYzXpJs7QnJtY/++BXw64TxyxNWpHFuCk76Xu/8Wq1+8/buOvFbKeLOGsry2jl6pywsLSb5bXUVG1OybUHbmadney6Xfg37K3g7SdR8YW/xM0GYPptl4Yk07TJbSRXtZobiS1lBRxnfhbZMEHGG5zkGvfaRVVBtVQAOgApa+lyjLVlWBjhlLmtfW1t3fbU/G8ZiXi67qNWuFY3xC+Hvgn4seB9V+GvxI8MWmtaDrdk9pqul38W+K5hcYZWH6gjBBAIIIBrZor0pRUk01dMwp1KlGoqlNtSTumtGmtmn0aOJ+Bf7OPwN/Zn8Br8MfgR8MtL8M6Et3JdHTtOhO155Mb5GZiWdiFUZJJwqjoAB2ccEERzFCik9SqgU+ilCEKcFGCsl0WxeJxOIxleVfETc5yd3KTbbb6tvVvzYUUUVRiFfyofG34x/tVad+2hr3xh+IvijXdL+LOneMHmur6X9xeWN/FJsRFXoioFVFQfIEAUZWv6r68y1b9jT9lvXv2grX9qrWPgfoNx8QrNFW38Uy2xNwu2IxKxGdrOsZ2hypYALgjaMfPcQZNXziFJU6nJyO/X79Oq6er1R+weEfiVlvhzXx08Zg/bqvTUVtdNX913/wCXc7+/a792Pus+Q9H+Mfw78R+CrCw+Jn7bk2pNd6XANe0fUviNYNb3EjRqZoZETGULbgVBHHGa+p/2X/Bpttd174ku02dVsLKxj3AeW6QSXMm9eMnJuSCckfKPQ1699is/+fSL/v2KkAA4ArnwHDdbCZhDFVsTKo4p2TXdW3cmfm2LzSGIoypwpKCk76bb32sFFFFfUnkBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUVBqtpLqGmXNhDctC88DxpMnWMspAYe4zmgD54/Z3/AOCrv7EX7Uv7Qmp/sy/Bv4nXd94lsFvmsZLrQrq2sNbWym8m8OnXcqCG9EEh2yeUzbeTyATX0dX4qf8ABK39m/8AaZsP2if2Qv2ePGP7N/jjwpefsk2XxIj+KHi7W/D8ttpF+2q3My2K6deN8l+LgSrK3lk7QDu6V+1dABRRRQAV4b+2z/wUT/Zg/wCCfmleHNW/aS8RavZJ4q1P7DpEej+Hrm/YvvijLyGFGWGMPNCu9yoLSKBknFe5V+ff/Bx/4t1aX9g2L4KeD/hH4/8AF3iDxX4u0a80228D+Br7WFhh07VrG6uTcPaxuLf90GKb8eYVYLnBwAfoGrBlDDoRkUtc18Hfibovxm+F+h/FPw5out6bY67p6XVrY+JNFm06/gRuiz206rJC/HKOARXS0AFFFFAFDxV4n0PwT4X1Lxn4nvxa6ZpFhNe6jdMjMIYIkMkj4UEnCqTgAnjgV4f+yB/wUy/ZS/be8ceJPhh8Fde8QW3ibwrZwX2q+HfF3hK+0a9+wznEN5HDeRRtJA/GJAMfMvqM+1eOfFMHgbwTrHja60i/1CLR9KuL6Sw0q0ae6uVijaQxQxLzJIwXaqDlmIA61+cv/BGb4o6x+1X+2X8WP21v2jPg38TfB/xZ8Z6Amm6P4a8UfDLU9J0rwr4SsrsC109L66hSK9vZZJRcSlT3IRQqNQB+l9FFFABRRRQB87/tm/8ABUX9kz9gnXrLQ/2i9W8U2aXFnFeX+q6N4J1DUbDR7WWfyI5766t4WitEaQFV8xgTtOBX0DpupWGs6db6vpd2k9rdQJNbTxnKyRsAysD3BBBr8yv+Di+wuPjn8Lov2b/A/wACv2g9e+JEVlb3/wAMpfh7ot3ceE9Yv5r6DNtrGwm0lSH7KjlL1QqrKTGTuav0k+HsXieDwBocHjW3tYtZTR7ZdXislAhS6ES+asYHAQPuAx2xQBsUUUUAFBIUFmIAA5JorxP/AIKN+EP2lviF+xH8Rfh/+yFFC/xC17QG07Q/O1RLEqs8iRXDJcOCsEot2mKSEHa+04OMUAL+xr/wUF/Zf/b5i8b3f7MPjW4121+H/iybw7r96+nSQwteRjJMDuAJoyORIvBBBHWva6/Mr/g31+Fn7SXwT+Lf7TPgP4rfsS/8Kg8LyePdPl8PWq+IzfW8bQ6ZbWotLWT7NCL2FYokc3ifKzsybdykn9NaACiiigAr5z+JX/BUD9nX4Z/tVTfscXPhD4la74ys30oaqfCXw21LVbDTF1EkWsl1dW0TRWyMA5LyEACNyThTj6Mr8lv+CqHgD4haV+3a/j/9hTwJ+0zpf7ROveL/AAhBDreg2t3H4A1bRbYKJzfyxf6JJDHBLdI63J8xZM7BtbJAP1pooooAKKKKAOQ+Pnx6+Ev7MHwd1/4+fHXxpa+HvCfhiwN3rOrXeSkMeQoACgs7MzKiqoLMzAAEkVz/AOyl+1x8Jv2yPh5P8SPhJZ+JbO1tL82d5YeLvCl5o19BJ5aSKWt7uNJNjRyI6uAVYMCDXzv/AMHBP7O3xi/aY/4Jl+J/BPwO0HWNW1vSvEeh67JpHh0btQvLSy1CGedbZf451jVpET+JowACSBVH/ghtb/tBx/Dr4sXPxEn+LDfDef4nTN8FB8cHum8SjRvs0Xmm4+2f6SIjc+b5Yl+bAbHy4oA+5aKKKAP/2Q==", 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", 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U/ZE8M+AbfW7q8WLxqfCV/DczW8vmSssMypI/2b5xL+7wgyh4+QY5T/gpB8FfhR8cND+HvgH4teA7HXdGk8YzzvYXYZUMkelXxRsoVbIJPevzfE8NYrBZPUqPFNxSb5Vflevr9+m5+1cfeJGB4z46o42jhp4RRhGDlZe22bbsnG+kuWK51eO7Sdlif8Elb26TwD8RfCfg+/uLv4Z6D8Qp7H4XTuRJbJYi3ha6gtJsnzrWK+a6ijbLABNoYhcD6zrxj9gXwr4b8C/s3Wngvwbodtpmk6V4l12103T7OPZFbwpqt0FRR2AH4nqck17PX3WSwdPKKCbv7kXr5q/4bH5DxLj4ZnntfEwjZSl13dko80rbznbmm+sm2FFFcR8aviHD4U0N9BsZG/tHUISsO0D92hOGc/qB7/SujHYyjl+FlXquyivv7Jeb2PIoUZ4iqqcN2eI/tVfEXxP428UWPw8+GdyP7c8Q6kNC8LMERxDIys9zfFGkUOkEMc05wfmESL1YA/Qvwr+GnhT4OfDnRfhd4IsBb6Xoenx2togA3MFHzSOR953bc7N1ZmZjyTXh37GPgKXxt451v9pbXrNltYPtHh3wNFKVO20imC3t4FMYZDPcQhF+Y5ito2GA5z9I143DmEqqjPHV/wCJWfM/KPRfd+nY7cyqw51Qp/DDT59WFFFFfSHmhRRRQB/P9/wcoeLfjjqn7fp8JfECXUU8H6V4es5PAFvNFstWilgjN3NFjh3NysiOx+bESKeFWv1A/wCCEmvfGLxB/wAEzvAU/wAZILtZbZbi28OPe2wieTR4322jAAAsmwYRiMsiqeRgnT/4KHfs/fBb9ob4sfDnw78bfhzp/iSx0/Q9dubK21DftimNxpSlxsZT90kYORz0r2D9jC1tbD9lPwDYWNtHDBB4at44IYUCpGirhVVRwAAAABwAK+MyzDSpcWYtubeif/gVnb5bI/a+LPETL898K8q4fpYNQqYd+9PS3uqUbxtrepfmqXt73817r06iiivsz8UP5hv+CtvjL47+Jv8Agov8Trn463GpJqul+Krmz0GG+i8v7PpEczHTxCo4EZgMcgI+8ZGc5Zia/Ub4I/HLTviZ+zR4ZH7QX7c+qDW9e8JQDxdpsvxIsrQmWaHE0bLHtaLIYghSrLnggivsb46fA39gbx1+0F4O8bftB+G/ANx8SbVoV8Fv4g1CGLUZzHMXiWGFpFNxtlJKja+GJxya9K+K9paj4X+JXFrHkaBeHPlj/ng9fCLhXFvE1qkMW48zvpe76+9qtdfM/deOvFLAcTcN5RgKWXexlhoL3mklolH91ZX5G43e3vJLpd/BfwG8B/CX4Rft5fB20/ZE8NaPpcutaDqdv45s/CVpC9vP4WSyMltdXRTO0C+WzWKcndKZJBufB2/ovXxD/wAE5v2cvgX8AvjNo8/wa+F+l+HpNc+GF3Nq8tijl7p1n0kqWZ2Y4BdyACACxOOa+3q9Dg2m4ZKne95Sfp0svuv8z8742zOjmWZ01TlKfs6ai5zspzfNKfNJKUtubkj70vdjHXoiud+Lfhf4Y+Nfhhr/AIW+NOnaVd+ErzSZ08Rw62yrafY9hMrSs5ARVUFi5I27d2RjNdFX5x/8HMni745eG/2JtF0z4bT6jB4X1bxQtt49nsI/lNvs3W8UzjlInmAz2Zgik8gH3cyxUcFgKleUeZRW3f8A4HfyObgnIa3E/FmDyulW9jKrNJT/AJba3W3vae6rq8rK63PtD9lP4Y/so/DX4QwaB+x/pHhSLwZLfT3EL+E7yO7tJrksFlczI7+Y+VCkliQEC8BQB6THBBEcxQopPUqoFfz4/wDBDX43eOPCfi7xf8O9c/aP1TwV4GGlf2gLeLxNb6fBJqrSwxqymcHLmFZMhOoRd3Ra/VL4P/GYeILpvD/w6/aOuvGt5HcLcGIeJ4NRmizhACIORGfRhjJNfJ4fjTBRw8Y+wknorRSt8v008j6nxE4DxvDHF+JwNXF+3aal7STfO+ZKXv3v72uur79bH1/RTIDM0CNcKBIUHmBegOOcU+vuU7q5+XBX8pXx7+Kn7Tbftj698VvivrWr2fxU0/xn9purm8jEdzY6jbzDylVDlUERjjVFHyBUUD5QK/q1rxLX/gb+wPqX7YenfE/xH4b8Av8AG1bRZdOe51CEazJEkDosy2xk3SFYVcCTYSFTggIMfO8Q5PVzaFJQq8nLLr1v+q6er1P2Twf8RcF4fV8wniMC8T7alZWSvHlu7SvtSlf949fhi7M+VL3x/wDB/wCKPwug8HfHD9tCbWrLVdJt08T6BqXxNs1trtiiNNBMIShMZcMrIGAZcqcgkHqf2NND8OfDL/goNc/Dv9m7S7bTfC178Opr74m6D4etYl0yy1BZ7dNKndY/lt7qWE3YKjaZIoUchsBq+mv21/D+ia3+yP8AEbRdW0qCe0vPCN7BdQPGNskbxFWU47FSR+NeUf8ABPb4D/Bz9nv4p+PPB3wT+HeneG9MufD+i3Vza6cjYlmNzqi72Z2ZmO1VAyeAOMV8/TyrEYHiTCwqYiVRtSd3e9knpu9H1PnMFxBh4cP42PLJc6cVSVvZXnZOctfihZOCUH70YtyXLZ/VlFFFfoZ+fH4S/wDBzz4u+ON1+134a8E+Kp9Rj8B2vhaO68JW7R7bSa6ZmW8kUjiSUERK2eVUrwA2W9L/AOCSn7RXinVP2PrCx+NP7Z+s+H20nVptO8M6XN44s7Mw6VFFCsSrHKC+wP5yqW/hUAfKFr9UP2hv2WP2ev2r/DFn4N/aJ+FGleK9N069+12NvqSNm3m2MhdGQqy5ViCAcHjIOBjr/D3hLwv4S0Cx8K+GPD9nYabplnFaafY2tuqRW0EahI40UDCqqgAAdAK+MxPDGNr5nVxMMS4KXa9/R6rRdD9rzXxUyrMPDHAcMRwCVWhK7m+Xl0v70dG+ed7zbtrfe+ny1+z94Y8HfE3WtBuPBHjEa9Yad4j/ALVutastTjvPtF0kjzSNNMmVLPI5LYwctxivrWmxxxxLtijVR6KMU6vbyXKf7Iw8qbqOblJybatvbzfbufkGNxf1yopctklawV4H/wAFRfFXxv8ABH7AHxR8Vfs5vqCeL7Lw7v06bSYd9zBCZoxdSxDqHS2M7hh8yldy8gV75R1616dek61CVNO3MmrrdXW69DTKcdDLM1oYyVNVFSnGbhL4ZKMk+WXlK1n5M/mC/wCCV3xb+I/w0/bJ8OReEPi9qPhHTdela08XajaavHaLJp4BlfzJJvkGGRSCfmzwOTg/sn4b+Ivwx8XeKdPtP+Gpj4z1GKSRtI0zUPG1pfNHKYnVpIoosMX8ppFzzhWbjuPp34HfsZ/ss/s1eIde8V/Aj4G6D4Y1DxNIG1u60y1KtcYdnCjcSI03Ox2JtXpx8ox6StraowZLaMEdCEFfDUeDcbHDeyli2k73ik3H/wBKXz0P1TxQ8Tcs464ljmOEwXs4xhGF5cvPJq7bdk1pfljq9Enpey4z9njwS3gH4XW2jyCcPdahfahIlyAGRrq6luCuMDABkwAecYzk129FFfb4WgsLhoUU7qKS+5WPx+rUdWrKb6tsK5H4jfCLS/iHqFrqVxqctrJAvlymKMN5keScc9CCTg8jk8GuuoqcXg8NjqDo1480X09PQdGtVoT56bsyOztILC0isbWMJFDGscajsoGAPyFSUUV0JKKsjJtt3YUUUUwCiiigDyH9pjQpbrX9B8RR6IJZLS3uLa3u0RmdfOeFni44wxhiI7krxXbfBPwSnw4+Enh7wNHJMw0zSooc3BG/gc5wAM8+ldRRXlYfK44fNK2N523USVu1l3+R1VMU6mFhRt8N9fUKKKK9U5T+Yz/gq/8AED9oXUv+CknxI1z4xarrFpr2heL54PDLzboJLLS4Z2bTmt9uNieSY5VZfvM5fO5ia/Uf9n79oKLxr+zz4R1T45ft1akviLVfDFtJ4n0+5+IWnwgzyRAyxvEANmckFeCMkcGvt/4o/safstfGr4r6F8cvit8D9B13xb4a8r+xNcv7YtNbeVIZYxwQHCSEsocMAScYzXpJs7QnJtY/++BXw64TxyxNWpHFuCk76Xu/8Wq1+8/buOvFbKeLOGsry2jl6pywsLSb5bXUVG1OybUHbmadney6Xfg37K3g7SdR8YW/xM0GYPptl4Yk07TJbSRXtZobiS1lBRxnfhbZMEHGG5zkGvfaRVVBtVQAOgApa+lyjLVlWBjhlLmtfW1t3fbU/G8ZiXi67qNWuFY3xC+Hvgn4seB9V+GvxI8MWmtaDrdk9pqul38W+K5hcYZWH6gjBBAIIIBrZor0pRUk01dMwp1KlGoqlNtSTumtGmtmn0aOJ+Bf7OPwN/Zn8Br8MfgR8MtL8M6Et3JdHTtOhO155Mb5GZiWdiFUZJJwqjoAB2ccEERzFCik9SqgU+ilCEKcFGCsl0WxeJxOIxleVfETc5yd3KTbbb6tvVvzYUUUVRiFfyofG34x/tVad+2hr3xh+IvijXdL+LOneMHmur6X9xeWN/FJsRFXoioFVFQfIEAUZWv6r68y1b9jT9lvXv2grX9qrWPgfoNx8QrNFW38Uy2xNwu2IxKxGdrOsZ2hypYALgjaMfPcQZNXziFJU6nJyO/X79Oq6er1R+weEfiVlvhzXx08Zg/bqvTUVtdNX913/wCXc7+/a792Pus+Q9H+Mfw78R+CrCw+Jn7bk2pNd6XANe0fUviNYNb3EjRqZoZETGULbgVBHHGa+p/2X/Bpttd174ku02dVsLKxj3AeW6QSXMm9eMnJuSCckfKPQ1699is/+fSL/v2KkAA4ArnwHDdbCZhDFVsTKo4p2TXdW3cmfm2LzSGIoypwpKCk76bb32sFFFFfUnkBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUVBqtpLqGmXNhDctC88DxpMnWMspAYe4zmgD54/Z3/AOCrv7EX7Uv7Qmp/sy/Bv4nXd94lsFvmsZLrQrq2sNbWym8m8OnXcqCG9EEh2yeUzbeTyATX0dX4qf8ABK39m/8AaZsP2if2Qv2ePGP7N/jjwpefsk2XxIj+KHi7W/D8ttpF+2q3My2K6deN8l+LgSrK3lk7QDu6V+1dABRRRQAV4b+2z/wUT/Zg/wCCfmleHNW/aS8RavZJ4q1P7DpEej+Hrm/YvvijLyGFGWGMPNCu9yoLSKBknFe5V+ff/Bx/4t1aX9g2L4KeD/hH4/8AF3iDxX4u0a80228D+Br7WFhh07VrG6uTcPaxuLf90GKb8eYVYLnBwAfoGrBlDDoRkUtc18Hfibovxm+F+h/FPw5out6bY67p6XVrY+JNFm06/gRuiz206rJC/HKOARXS0AFFFFAFDxV4n0PwT4X1Lxn4nvxa6ZpFhNe6jdMjMIYIkMkj4UEnCqTgAnjgV4f+yB/wUy/ZS/be8ceJPhh8Fde8QW3ibwrZwX2q+HfF3hK+0a9+wznEN5HDeRRtJA/GJAMfMvqM+1eOfFMHgbwTrHja60i/1CLR9KuL6Sw0q0ae6uVijaQxQxLzJIwXaqDlmIA61+cv/BGb4o6x+1X+2X8WP21v2jPg38TfB/xZ8Z6Amm6P4a8UfDLU9J0rwr4SsrsC109L66hSK9vZZJRcSlT3IRQqNQB+l9FFFABRRRQB87/tm/8ABUX9kz9gnXrLQ/2i9W8U2aXFnFeX+q6N4J1DUbDR7WWfyI5766t4WitEaQFV8xgTtOBX0DpupWGs6db6vpd2k9rdQJNbTxnKyRsAysD3BBBr8yv+Di+wuPjn8Lov2b/A/wACv2g9e+JEVlb3/wAMpfh7ot3ceE9Yv5r6DNtrGwm0lSH7KjlL1QqrKTGTuav0k+HsXieDwBocHjW3tYtZTR7ZdXislAhS6ES+asYHAQPuAx2xQBsUUUUAFBIUFmIAA5JorxP/AIKN+EP2lviF+xH8Rfh/+yFFC/xC17QG07Q/O1RLEqs8iRXDJcOCsEot2mKSEHa+04OMUAL+xr/wUF/Zf/b5i8b3f7MPjW4121+H/iybw7r96+nSQwteRjJMDuAJoyORIvBBBHWva6/Mr/g31+Fn7SXwT+Lf7TPgP4rfsS/8Kg8LyePdPl8PWq+IzfW8bQ6ZbWotLWT7NCL2FYokc3ifKzsybdykn9NaACiiigAr5z+JX/BUD9nX4Z/tVTfscXPhD4la74ys30oaqfCXw21LVbDTF1EkWsl1dW0TRWyMA5LyEACNyThTj6Mr8lv+CqHgD4haV+3a/j/9hTwJ+0zpf7ROveL/AAhBDreg2t3H4A1bRbYKJzfyxf6JJDHBLdI63J8xZM7BtbJAP1pooooAKKKKAOQ+Pnx6+Ev7MHwd1/4+fHXxpa+HvCfhiwN3rOrXeSkMeQoACgs7MzKiqoLMzAAEkVz/AOyl+1x8Jv2yPh5P8SPhJZ+JbO1tL82d5YeLvCl5o19BJ5aSKWt7uNJNjRyI6uAVYMCDXzv/AMHBP7O3xi/aY/4Jl+J/BPwO0HWNW1vSvEeh67JpHh0btQvLSy1CGedbZf451jVpET+JowACSBVH/ghtb/tBx/Dr4sXPxEn+LDfDef4nTN8FB8cHum8SjRvs0Xmm4+2f6SIjc+b5Yl+bAbHy4oA+5aKKKAP/2Q==", "info": {"equation": "95/19=5", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "bc3d1cceccc625118b7c99cacd45c0b0262dba86726b0541319481f885e953ed"} +{"episode": 26748, "episode_seed": 1551902776, "split": "train", "timestamp": "2025-10-28T03:45:06.172143", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1551902776, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 1, 2, 7])", "action": "('move', [4, 1, 2, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "55+95=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": "55+95=150", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "6f448e74e6dad96878dfcf62ec5f569127b9ae474f163a7a9ba2577418720fc0"} +{"episode": 26749, "episode_seed": 2461736630, "split": "train", "timestamp": "2025-10-28T03:45:06.247673", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2461736630, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 4])", "action": "('move', [4, 0, 1, 4])", "reward": 0.0, "image": 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", 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", 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gqCMGvsNbW1Rt6W0YI6EIK/Pv7Cr5jmeMhHESguZXW6fMr2eq229D9d4s8QMBnPCuSYClg1CeEpOEpae81yq8bK9ny88r/bk/V838FvCR8D/C3RvDLGXdBbF2E+N4aR2kIOAMYLkY9q6iiivvaFJUKMaa+ykvuVj8gnJzm5dz8jf+DqjxH8WLXwf8J/C2ny3qeCLy/wBRn1URR/6PLqcaxC2EjD+IRPcFVPXLkZxxT/4J5fFHw348/wCCf/hbwN+0P+1ldWlrPpdzpV14TvPHdpYwPpKSvDDbPECsixNAoQgsGZDyea/QD/gob8JPht8b/hp4V+HnxZ8H2uu6JdeN4pLjTrwuEdk0++ZDlGU8MAeDTPD/AIW8Nxf8E2rzwxDoVqmnJ8LtQtEskhCxrALSZBGAOihPlwO1fDZjldfGZ9X5K8oe4padVty7rTS/zP2CfH2Bn4Z5dkEcKlVoV5TdVWvq5NOPXm9+z1XwRs/5fP8A/gnH4c8LeAv2gfi34E+DGiWWneCItP0K8u7DRrOKOwttfkS5S5WMxjAka0i095Ix93KNgb+fsGvnT/gnf8IPhh8DPDvjL4e/CHwTZeH9Fh1+3nj0+wVtnmyWUJdyWJZmOBySeAB0AFfRdfQ8MwcMjoK99L/e2/wPz/ivHU8wz2rWp3atGN5fFLlhGPNKzdpStdq8rXtzS3fz7/wUu8Qa94c/Zut7mz1e60/RJ/G2h2/jXULTA+z6K99GtyZHP+rhb5ElfjbE8hJAyRw/7NPjr4kaj47/AGgLX4YahNqdrpPh3S30RI4IpYIvEv2O8863jcfffyk0xnjY/KZF6bq96/au0vT9c/Zj+IOiatZpcWl74N1KC6t5BlZYntnV1PsVJH4155/wTz+E3w1+CPgzxh8OvhL4MstA0O18WLJBptgrBFeSwtGdiWJZiT3JJ6DoBXJisPKXFNGfO1enLT00/W/qkd+CzTLqPC1SjOjzVVNWbS5WnKEm2/i5lyOCVrOM3rHltP8AHv8A4N+vGHx61D/gq8L6WbVbubXdK1t/iXcXcBeRoyrTNJcFhlGN8tsC3B3tt/iNf0D18e/sc/BP4TfD39rnX/iT4J8A2Gm694sXxVL4j1W3VvOv3XWYSC5YkDlicLgEnJHAr7CquE6Lo5ZKLk378t/J2/S/qz3/ABb4xwfHHFMMww2H9jFUacLaXbSbbdtNOblj/djHbZFcX8d/F0XhXwFcRm5WKS+zAJGbASPGZGJzwAoPPbIrtK+Z/wBpW9m+PHj7R/gpoTTNZ6/qQ0q9mjYL5dgoabUZMlHA3QRtCuRy8qYIzkdWf4qdHA+xpP8AeVXyR+ejfyX6H57l9JTr88vhhq/kdl+xJ4NNp8Mbn4v6nZ+XqPj+9GrAvEgkj04KI9PhJVmyBbqkpGeHuJeBkivZqZBBBawJa2sKRxRoFjjjUBVUDAAA6ADtT69TCYang8NChDaKS+45a1WVaq5y3YUUUV0GZ+In/B074h+K8n7Qfw48JanJer4HTwhLd6QhjxbS6o1zIl0dw+/IsItBg/dVxjG85/VL/gnNrHxN1/8AYS+E+r/GKG5TxHP4HsDqIvIBFKf3QEbOoxhjGEJ4ByeQDmuH/wCCkXwT+E3xzk8FeHfi/wCA7DxDY2C6rfWlpqCsUjuEigCyYUjOAzDByDnkGve/gr/yRzwlwP8AkWbDoP8Ap3jr5fLqDhxJjJczekNPVfpbT1P1PiXjXB5x4b5RkVPDKE8NKo5T01u/s9feved95RT16dNX4af8HSPiP4sT/tUeA/CetyXq+CoPBRuvD8TR4tnv3uZVvGU/xyBFtAc8qCvTdz+5dcJ8cf2Y/gD+0tb6LafHn4U6R4pj8O6ouo6KmqwFxa3IGN64IyCMZU5VsDIOBXpZ3l1TNcvlh4S5W2n5aPZ/1ued4X8ZYPgLjClm+Koe1hGM4tK3MuaLV430v0f91s/Pf4A+PvAPx3/Zc8BeGf2mv2o28SXmraHpkuu+DNd8b2Ztru6Uo8UE1om0uBIsZ8k8FlAZTyK+n/8Agl5p+neHfD3xP8GeALKK38B6R8SZovB8FnbolpAz2dtLqENsU4aJL97kcZCyGRBjbtX0f9uLwJ4O+IH7M2veCvGnhy21HStVvtKttRsZ1ISeJ9TtQyEqQcEehBqj+wN4D8G/DD4Ey/D74e+HLbSNE0nxLqEGnabZqRHBH5ucDJJOSSSSSSSSSSa+dy3LK+X8RxhUryqP2bd325rW3enX1McfxBh8bkOKUYOHtqt1TVvZQu1Lnjr8ens17q9xv3nex7XXI/Hjwj8F/Hfwg1/wp+0TZaLceCbuxI8RR+IbhYrIQKwfdLI7KECsqsGyNpUEEECuur84/wDg5t8SfFjRf2FtE0vwPLex+HtU8a28HjJ7RMo0CxSSQJMw5WMzoh9C6oDzgH6rM8VHB5fUrSjzKKenf18u/kebwPkdXiTi7BZbSrexlVqRSns421vHb3tPd1XvW1R95/Bzwd8H/B/wq8P+GfgdpWjQ+D7PSoU8OJojpLaG025jaJ1JEisDu35O7O7JJzXUKqqAqqAB0AFfi3/wRq+POsQ/sit4e+J/7X+q+F7XRvElxaeF9HbxraWKxWOyOQ7Y5QXK+fJNgnjqBwK/Vr9mnxZrHjPw5d69ca6dU065aOXTtRE4lScOpJaNx8rIRtIK8c8V4eVcT4XMcRTw0KUotry5VZX08ui0XQ6+NeFsTw1xBjcJVrqq6VSS57u8td3f7WvvK7s76vc9Lrw//gpX4j+LHhH9gr4reJPgc96niez8HXT6dLpse64iXAE0kY6h1hMjAjkFcjkCvcKo+Jiw8N6gV6ixlx/3wa+lr03VoSgna6av2utz5nK8ZHLszoYuUFNU5xk4vaXLJPlfk7Wfkfz4/wDBDL4weJvBnxI8Z+DNU/aG1HwR4RuNES+uEg8SW+nxT6is0ccRzMDlvKM2QvUKN33Vr9eP2VrDwp4/8daX4t8I/EA+KIdJ1G5vb3XYtWivjcXLWsluRNNHlSwSZflGCAq9gc5n/BMX4F/B74JDX9F+E3w703QrXU/C3h+/1CKyjY/aLl/toaRi5JJwAMZwOwFfWscUcQ2xRqo9FGK+C4fyGticNh8XLES5YvmUOl4t7a2/Dqfo3ihxvg+LOLcVj8NhvZxqKMdbcztBK8raNv12S7DqKKK/Qj8qPzf+APxN8d3L/BZk8W39z8R9W+L06eNNNmjia7M++9Gtw3EJ5hit4pHxgDy1W2x99N3w3/wcQeLvjo//AAU/FhqM2qJZaLoukv8ADiNYDtCNGkjyQAD94xvRMpbBJaML0VRX6ffDn4I/CbRP+Cg918ctL8A2EHi/V/Gmq2WpeIFVjcT266XKFjOSQoxHH90DO0ZzSf8ABRT4J/Cb4n/F3S/GPxB8BWGr6n4U8Gvd+HLy8VmawnN0T5iAEKTlEPzA4KgivzGpg5x4fxEfaP3a/wB9mo/je/qkfvvCPiDkfDHG8MzjgueE6FRONopxnUfPaPTkjb2aejcJSfKr8h9UfCq88X6h8L/DeofEG3aHX59As5NcieMIUvGgQzKVHCkSFhgcCt+iiv02K5YpH4NVmqtWU0krtuy2V+i8kfnl+2P8T5/DHj/9pa/+JPxBu9GvNG8N2Q8Iee8UbW2mHSg1rPZo/EpfU5LxN2DulRY+cBa6D4KfHmzvrbQ4bj9sW817xBqGkwx3WiT+ObO5Ml00StKqQxAMXDBsBTxg19Y/En9mH9n/AOMHxH8LfF74nfCfSNa8S+CpzN4W1i9gLTafIWV9yEHBwyqy7gdrDIwea7hbW1Rt6W0YI6EIK+MrcLY2ti61WOKcFOTdlfZ9Hqttl5H2GP4iymtgMPTo4f8AeRjFTbUUk4wjBKLV21Llc5NpPmlaztzSpeEJtWuPCunT66hW8ezjNwGGDu2jOR2Pr71o0UV9jSg6dOMG72SV318z42UuaTdrXPlf9tjxRrOl/tTfCzRvEOuT2PhaXw/r1zZLI6x2lzrifZVjSRyRmRbOS+ZE7jzWAOwlfm/9nr47+BvFXww1G08aftoXS6TJ4o1y003RbzxvYW1vNo6388dvGYQAfKaAADkFkIOec1+g3x1/Z8+C/wC014Bk+F3x6+Hen+J9AkuorltN1JGKCaMkpIpUhlYZIyCOGI6Eg9Jo3hrw94d0e08P6DolrZ2NhbR21laW8CpHBCihUjVQMKqqAAB0Ar5TH8N4vGZlUxMMS4KSSsr30VrbrTr82fX/ANv5VHIKOFWHvWi7NtR5bJzkmnq3KXOlJNKygmnLmtDz79mDwuNK0DV/FAaT/ieahHMu7GwrHBHEGTjkHb159q9PoAAGAKK+iy/BrAYKnh078qtfufKYis8RXlUta58+/wDBS7xDr3hz9m63urPV7rT9Dn8baHb+NdQtcD7Por30a3Jkc/6uBvkSV+NsTyEkDJHy5ZfHjRrH9qT4ieE5v2tLzwro1jpeiyNYWfiyysIV1V0uFuQvmAs7iCOy3DPykgcZr9FvFPhjw9428M6h4N8XaNb6jpWrWMtnqWn3cYeK5t5UKSRup4KsrEEehrn/AIK/AH4Nfs6/D61+FXwS+HWm+HPD9lLLLbaZYRHYryOXdiWJZmLE8kk9B0AFeJm2Q4rMcxjiKdd00o20vffpZrR9deh9RgM9yvC8PTwlWhzVruztHltJwbk2/e5o8jilazjN6x5bT8l/Y/0Tw34g8RQfEHwn4l/tjT7TSLy3h1a3vkuoryS4uIpJZGmTIkkLwsSQfvM2R0x9E0iIka7I0CgdgMUterlOXf2Xg1Q5+d3bu9L3d/P8z5vF4n61W9pa22noFcv4J+F2leCNe1HXLK7eVr5iI42QAQIW3FQe/Pf0A9yeoorqq4XD16sKk43lC7i+11ZmMKtSEJRi9HuFFFFdBmFFFFAHlH7Ufht9ctNHni0kzSI1xbx3EaMzxmZUXaMcfNtHUdVFeieC9BTwr4O0nwvG7sum6ZBaq0hBYiONUyccZ47Vp0V59DAKhmFbFc13UUVbtyq34nRUxDnh4UrfDf8AEKKKK9A5zkfjtpI1v4XalYtpoulDQTGIgnBimSQOMd1ZA3/Aapfs6+Ez4T+HIDiYNqWo3N+yzDBUyvnA4HGACM+td3RXn/UE80+u82vJyW+d7nR9Yf1X2Fut7/KwVz/xU+Ffw7+N3w+1T4VfFnwjZ694d1q3EOqaTfoWiuEDBgDggghlVgQQQVBBBFdBRXfKMZxcZK6ZnRrVcPVjVpScZRaaadmmtU01qmnqmtjB+HXwv+Hvwl8DaV8NPht4QsdH0HRLJLTStMs4QI7eFRwozkn1JJJJJJJJJrdVVUBVUADoAKWiiMYxSSVkhVatSvUlUqScpSbbbd229W23u31YV45/wUG1zx74b/Yu+Imt/DW81G21WDw85N3o8PmXdtal0F1NCP8AnolsZnUjJBUEcgV7HSSRxyxtFKgZWBDKwyCD2NZ16brUJU07XTV+11udWXYqGAzCjiZQU1TnGTi9pKLTs99Haz0Z+a+tfG/wZ4d/ag0nwj4R/ajfwr4dk+Foub9dI8VWdrbykXcX9mN5sm4uWglvGVQcFNr9CCfqj9kz4j3XjjVIU8N/FaXxjpNtbyw3eqNrEd8N4O4B5Yvk8wFwMcHaR6CvRPgR+y9+z5+zH4ev/CnwC+Euj+FtO1PUn1C/tdLt9qzXDKqlzuJP3VUBR8qgcAV3ccUcQ2xRqo9FGK+Sy3hfGYOdKU8U7Qd+VX5fTfr107nuZ3nOV4qq4YKj7iioqUklOXVyko3V7uySk7JJXdh1FFFfZHyx+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=", "info": {"equation": "280/14=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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gqCMGvsNbW1Rt6W0YI6EIK/Pv7Cr5jmeMhHESguZXW6fMr2eq229D9d4s8QMBnPCuSYClg1CeEpOEpae81yq8bK9ny88r/bk/V838FvCR8D/C3RvDLGXdBbF2E+N4aR2kIOAMYLkY9q6iiivvaFJUKMaa+ykvuVj8gnJzm5dz8jf+DqjxH8WLXwf8J/C2ny3qeCLy/wBRn1URR/6PLqcaxC2EjD+IRPcFVPXLkZxxT/4J5fFHw348/wCCf/hbwN+0P+1ldWlrPpdzpV14TvPHdpYwPpKSvDDbPECsixNAoQgsGZDyea/QD/gob8JPht8b/hp4V+HnxZ8H2uu6JdeN4pLjTrwuEdk0++ZDlGU8MAeDTPD/AIW8Nxf8E2rzwxDoVqmnJ8LtQtEskhCxrALSZBGAOihPlwO1fDZjldfGZ9X5K8oe4padVty7rTS/zP2CfH2Bn4Z5dkEcKlVoV5TdVWvq5NOPXm9+z1XwRs/5fP8A/gnH4c8LeAv2gfi34E+DGiWWneCItP0K8u7DRrOKOwttfkS5S5WMxjAka0i095Ix93KNgb+fsGvnT/gnf8IPhh8DPDvjL4e/CHwTZeH9Fh1+3nj0+wVtnmyWUJdyWJZmOBySeAB0AFfRdfQ8MwcMjoK99L/e2/wPz/ivHU8wz2rWp3atGN5fFLlhGPNKzdpStdq8rXtzS3fz7/wUu8Qa94c/Zut7mz1e60/RJ/G2h2/jXULTA+z6K99GtyZHP+rhb5ElfjbE8hJAyRw/7NPjr4kaj47/AGgLX4YahNqdrpPh3S30RI4IpYIvEv2O8863jcfffyk0xnjY/KZF6bq96/au0vT9c/Zj+IOiatZpcWl74N1KC6t5BlZYntnV1PsVJH4155/wTz+E3w1+CPgzxh8OvhL4MstA0O18WLJBptgrBFeSwtGdiWJZiT3JJ6DoBXJisPKXFNGfO1enLT00/W/qkd+CzTLqPC1SjOjzVVNWbS5WnKEm2/i5lyOCVrOM3rHltP8AHv8A4N+vGHx61D/gq8L6WbVbubXdK1t/iXcXcBeRoyrTNJcFhlGN8tsC3B3tt/iNf0D18e/sc/BP4TfD39rnX/iT4J8A2Gm694sXxVL4j1W3VvOv3XWYSC5YkDlicLgEnJHAr7CquE6Lo5ZKLk378t/J2/S/qz3/ABb4xwfHHFMMww2H9jFUacLaXbSbbdtNOblj/djHbZFcX8d/F0XhXwFcRm5WKS+zAJGbASPGZGJzwAoPPbIrtK+Z/wBpW9m+PHj7R/gpoTTNZ6/qQ0q9mjYL5dgoabUZMlHA3QRtCuRy8qYIzkdWf4qdHA+xpP8AeVXyR+ejfyX6H57l9JTr88vhhq/kdl+xJ4NNp8Mbn4v6nZ+XqPj+9GrAvEgkj04KI9PhJVmyBbqkpGeHuJeBkivZqZBBBawJa2sKRxRoFjjjUBVUDAAA6ADtT69TCYang8NChDaKS+45a1WVaq5y3YUUUV0GZ+In/B074h+K8n7Qfw48JanJer4HTwhLd6QhjxbS6o1zIl0dw+/IsItBg/dVxjG85/VL/gnNrHxN1/8AYS+E+r/GKG5TxHP4HsDqIvIBFKf3QEbOoxhjGEJ4ByeQDmuH/wCCkXwT+E3xzk8FeHfi/wCA7DxDY2C6rfWlpqCsUjuEigCyYUjOAzDByDnkGve/gr/yRzwlwP8AkWbDoP8Ap3jr5fLqDhxJjJczekNPVfpbT1P1PiXjXB5x4b5RkVPDKE8NKo5T01u/s9feved95RT16dNX4af8HSPiP4sT/tUeA/CetyXq+CoPBRuvD8TR4tnv3uZVvGU/xyBFtAc8qCvTdz+5dcJ8cf2Y/gD+0tb6LafHn4U6R4pj8O6ouo6KmqwFxa3IGN64IyCMZU5VsDIOBXpZ3l1TNcvlh4S5W2n5aPZ/1ued4X8ZYPgLjClm+Koe1hGM4tK3MuaLV430v0f91s/Pf4A+PvAPx3/Zc8BeGf2mv2o28SXmraHpkuu+DNd8b2Ztru6Uo8UE1om0uBIsZ8k8FlAZTyK+n/8Agl5p+neHfD3xP8GeALKK38B6R8SZovB8FnbolpAz2dtLqENsU4aJL97kcZCyGRBjbtX0f9uLwJ4O+IH7M2veCvGnhy21HStVvtKttRsZ1ISeJ9TtQyEqQcEehBqj+wN4D8G/DD4Ey/D74e+HLbSNE0nxLqEGnabZqRHBH5ucDJJOSSSSSSSSSSa+dy3LK+X8RxhUryqP2bd325rW3enX1McfxBh8bkOKUYOHtqt1TVvZQu1Lnjr8ens17q9xv3nex7XXI/Hjwj8F/Hfwg1/wp+0TZaLceCbuxI8RR+IbhYrIQKwfdLI7KECsqsGyNpUEEECuur84/wDg5t8SfFjRf2FtE0vwPLex+HtU8a28HjJ7RMo0CxSSQJMw5WMzoh9C6oDzgH6rM8VHB5fUrSjzKKenf18u/kebwPkdXiTi7BZbSrexlVqRSns421vHb3tPd1XvW1R95/Bzwd8H/B/wq8P+GfgdpWjQ+D7PSoU8OJojpLaG025jaJ1JEisDu35O7O7JJzXUKqqAqqAB0AFfi3/wRq+POsQ/sit4e+J/7X+q+F7XRvElxaeF9HbxraWKxWOyOQ7Y5QXK+fJNgnjqBwK/Vr9mnxZrHjPw5d69ca6dU065aOXTtRE4lScOpJaNx8rIRtIK8c8V4eVcT4XMcRTw0KUotry5VZX08ui0XQ6+NeFsTw1xBjcJVrqq6VSS57u8td3f7WvvK7s76vc9Lrw//gpX4j+LHhH9gr4reJPgc96niez8HXT6dLpse64iXAE0kY6h1hMjAjkFcjkCvcKo+Jiw8N6gV6ixlx/3wa+lr03VoSgna6av2utz5nK8ZHLszoYuUFNU5xk4vaXLJPlfk7Wfkfz4/wDBDL4weJvBnxI8Z+DNU/aG1HwR4RuNES+uEg8SW+nxT6is0ccRzMDlvKM2QvUKN33Vr9eP2VrDwp4/8daX4t8I/EA+KIdJ1G5vb3XYtWivjcXLWsluRNNHlSwSZflGCAq9gc5n/BMX4F/B74JDX9F+E3w703QrXU/C3h+/1CKyjY/aLl/toaRi5JJwAMZwOwFfWscUcQ2xRqo9FGK+C4fyGticNh8XLES5YvmUOl4t7a2/Dqfo3ihxvg+LOLcVj8NhvZxqKMdbcztBK8raNv12S7DqKKK/Qj8qPzf+APxN8d3L/BZk8W39z8R9W+L06eNNNmjia7M++9Gtw3EJ5hit4pHxgDy1W2x99N3w3/wcQeLvjo//AAU/FhqM2qJZaLoukv8ADiNYDtCNGkjyQAD94xvRMpbBJaML0VRX6ffDn4I/CbRP+Cg918ctL8A2EHi/V/Gmq2WpeIFVjcT266XKFjOSQoxHH90DO0ZzSf8ABRT4J/Cb4n/F3S/GPxB8BWGr6n4U8Gvd+HLy8VmawnN0T5iAEKTlEPzA4KgivzGpg5x4fxEfaP3a/wB9mo/je/qkfvvCPiDkfDHG8MzjgueE6FRONopxnUfPaPTkjb2aejcJSfKr8h9UfCq88X6h8L/DeofEG3aHX59As5NcieMIUvGgQzKVHCkSFhgcCt+iiv02K5YpH4NVmqtWU0krtuy2V+i8kfnl+2P8T5/DHj/9pa/+JPxBu9GvNG8N2Q8Iee8UbW2mHSg1rPZo/EpfU5LxN2DulRY+cBa6D4KfHmzvrbQ4bj9sW817xBqGkwx3WiT+ObO5Ml00StKqQxAMXDBsBTxg19Y/En9mH9n/AOMHxH8LfF74nfCfSNa8S+CpzN4W1i9gLTafIWV9yEHBwyqy7gdrDIwea7hbW1Rt6W0YI6EIK+MrcLY2ti61WOKcFOTdlfZ9Hqttl5H2GP4iymtgMPTo4f8AeRjFTbUUk4wjBKLV21Llc5NpPmlaztzSpeEJtWuPCunT66hW8ezjNwGGDu2jOR2Pr71o0UV9jSg6dOMG72SV318z42UuaTdrXPlf9tjxRrOl/tTfCzRvEOuT2PhaXw/r1zZLI6x2lzrifZVjSRyRmRbOS+ZE7jzWAOwlfm/9nr47+BvFXww1G08aftoXS6TJ4o1y003RbzxvYW1vNo6388dvGYQAfKaAADkFkIOec1+g3x1/Z8+C/wC014Bk+F3x6+Hen+J9AkuorltN1JGKCaMkpIpUhlYZIyCOGI6Eg9Jo3hrw94d0e08P6DolrZ2NhbR21laW8CpHBCihUjVQMKqqAAB0Ar5TH8N4vGZlUxMMS4KSSsr30VrbrTr82fX/ANv5VHIKOFWHvWi7NtR5bJzkmnq3KXOlJNKygmnLmtDz79mDwuNK0DV/FAaT/ieahHMu7GwrHBHEGTjkHb159q9PoAAGAKK+iy/BrAYKnh078qtfufKYis8RXlUta58+/wDBS7xDr3hz9m63urPV7rT9Dn8baHb+NdQtcD7Por30a3Jkc/6uBvkSV+NsTyEkDJHy5ZfHjRrH9qT4ieE5v2tLzwro1jpeiyNYWfiyysIV1V0uFuQvmAs7iCOy3DPykgcZr9FvFPhjw9428M6h4N8XaNb6jpWrWMtnqWn3cYeK5t5UKSRup4KsrEEehrn/AIK/AH4Nfs6/D61+FXwS+HWm+HPD9lLLLbaZYRHYryOXdiWJZmLE8kk9B0AFeJm2Q4rMcxjiKdd00o20vffpZrR9deh9RgM9yvC8PTwlWhzVruztHltJwbk2/e5o8jilazjN6x5bT8l/Y/0Tw34g8RQfEHwn4l/tjT7TSLy3h1a3vkuoryS4uIpJZGmTIkkLwsSQfvM2R0x9E0iIka7I0CgdgMUterlOXf2Xg1Q5+d3bu9L3d/P8z5vF4n61W9pa22noFcv4J+F2leCNe1HXLK7eVr5iI42QAQIW3FQe/Pf0A9yeoorqq4XD16sKk43lC7i+11ZmMKtSEJRi9HuFFFFdBmFFFFAHlH7Ufht9ctNHni0kzSI1xbx3EaMzxmZUXaMcfNtHUdVFeieC9BTwr4O0nwvG7sum6ZBaq0hBYiONUyccZ47Vp0V59DAKhmFbFc13UUVbtyq34nRUxDnh4UrfDf8AEKKKK9A5zkfjtpI1v4XalYtpoulDQTGIgnBimSQOMd1ZA3/Aapfs6+Ez4T+HIDiYNqWo3N+yzDBUyvnA4HGACM+td3RXn/UE80+u82vJyW+d7nR9Yf1X2Fut7/KwVz/xU+Ffw7+N3w+1T4VfFnwjZ694d1q3EOqaTfoWiuEDBgDggghlVgQQQVBBBFdBRXfKMZxcZK6ZnRrVcPVjVpScZRaaadmmtU01qmnqmtjB+HXwv+Hvwl8DaV8NPht4QsdH0HRLJLTStMs4QI7eFRwozkn1JJJJJJJJJrdVVUBVUADoAKWiiMYxSSVkhVatSvUlUqScpSbbbd229W23u31YV45/wUG1zx74b/Yu+Imt/DW81G21WDw85N3o8PmXdtal0F1NCP8AnolsZnUjJBUEcgV7HSSRxyxtFKgZWBDKwyCD2NZ16brUJU07XTV+11udWXYqGAzCjiZQU1TnGTi9pKLTs99Haz0Z+a+tfG/wZ4d/ag0nwj4R/ajfwr4dk+Foub9dI8VWdrbykXcX9mN5sm4uWglvGVQcFNr9CCfqj9kz4j3XjjVIU8N/FaXxjpNtbyw3eqNrEd8N4O4B5Yvk8wFwMcHaR6CvRPgR+y9+z5+zH4ev/CnwC+Euj+FtO1PUn1C/tdLt9qzXDKqlzuJP3VUBR8qgcAV3ccUcQ2xRqo9FGK+Sy3hfGYOdKU8U7Qd+VX5fTfr107nuZ3nOV4qq4YKj7iioqUklOXVyko3V7uySk7JJXdh1FFFfZHyx+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": "280/14=20", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "9fb2af3279a5e15d40f45b2d8fd1b01a2736390ba03d5a1a728f1283625ab3b6"} +{"episode": 26750, "episode_seed": 156872808, "split": "train", "timestamp": "2025-10-28T03:45:06.307107", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 156872808, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 5, 1, 6])", "action": "('move', [3, 5, 1, 6])", "reward": 0.0, "image": 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", 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", "info": {"equation": "48/3=16", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", "info": {"equation": "48/3=16", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "5370194eac4649ea18ceccce18d97778826af3b70ed1977ff3122e4d96a21778"} +{"episode": 26751, "episode_seed": 3045868924, "split": "train", "timestamp": "2025-10-28T03:45:06.369414", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3045868924, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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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", 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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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LMxwAPU19lsfjBwX7RFrokngpLrUG23Ud0osWRQWLH7y+y4GSfYV83/sxeKvBPxO/bTe38RwM0PhTR76HwLJPFCba91aN449UmifzSxmt4pYoFGwYWW85ODjqv2ofif4s8c3dp4d+FMTvq+tXsei+E/NTCw3U4YveSfI+I4Y0knYEHKwYxlsVlfGD9mcfBLw94Y0D4L3P2S68JSW9/wCDdRv3UsLyFSkwncRNxcJJMkrKhJW4cgZr80xeLhVzl5tCClRpyjBvv0cvO11b5H01Gi4YL6pKVpyTaXby/rzPrmis3wh4ji8XeF7DxLFaNb/bbVJXtnkV2hYj5oyVJBKnKkg4yK0q/SYThUgpxd09U/JnzUouMmnugr+dX/g4T8WfHDXP+Cj/AIj8P/FeXUV0TSLC0TwFbXUWy3XTXhRnlgA4YNcecGfklo9pPyAD+iqvj79vv9nX4H/tAftDeGk+NXwy03xImi+DbifSk1JXK28jXke4gKwDZCrkNkcdK+X4xoupkkpc1uVp+utrP77/ACP1bwa41wXAvGH1/FYf2sZU5Q0tzRbs+aN9L+7yvVe7J+j+Zv8Agn9+0r4j8W/sg+Ddc+PX7dWtad4lltJkntLn4gWNvKlsk8iW25HBcEwLEcv8zZy3JNfX37Lvgvwr4q8U+FvFngjVUvdF8ORXE+n32n3aT28++CW2wZVyH/1rn5Tncp9CK9d/ZcsrIfsy/DoLZxADwJpGAIgAP9CirvkRI12xoFA6ADFc+D4ZrxxFHEVsVKag1JJp/rJ2+4+RzziGjmeYYqvSw0aSrTnLljtFSk3ZaLRXshaKKK+yPlj5p/4KseIfGXh/9mOx/sTVNQsPDt/450ey+I2o6Yo8y28Oyz7btmfrFCx8qOVx92KR8kLuYedfCjx/r97/AMFCvh/4b+FXiM3+nz+CNZk8f2WnCKe1ttOZYJdPuJXGTE73HEWCPMR5CAygkfT/AO1Nbw3f7MfxGtbmISRy+A9XSRGGQymymBBr54/4J/fs8/BH9nj456vonwR+Gmm+G7XU/BaXGoR6erk3Ei3YVWdnZmOBkAZwMnAGTn4zNcNJ8VYSfO9U9O3Ldv8A8C2Z91lWa5VS4XrUq1G9WHOo6R5Ze1io8023zKVL4oWUk3y/Dyty/MH/AIOUPFvxx1T9v0+EviBLqKeD9K8PWcngC3mi2WrRSwRm7mixw7m5WRHY/NiJFPCrX6gf8EJNe+MXiD/gmd4Cn+MkF2ststxbeHHvbYRPJo8b7bRgAAWTYMIxGWRVPIwTp/8ABQ79n74LftDfFj4c+Hfjb8OdP8SWOn6HrtzZW2ob9sUxuNKUuNjKfukjByOelewfsYWtrYfsp+AbCxto4YIPDVvHBDCgVI0VcKqqOAAAAAOABRlmGlS4sxbc29E//ArO3y2R9jxZ4iZfnvhXlXD9LBqFTDv3p6W91SjeNtb1L81S9ve/mvdenUUUV9mfih4l8dPgb+wN46/aC8HeNv2g/DfgG4+JNq0K+C38QahDFqM5jmLxLDC0im42yklRtfDE45Ne0mztCcm1j/74FfzIf8FX/iB+0LqX/BST4ka58YtV1i017QvF88Hhl5t0EllpcM7NpzW+3GxPJMcqsv3mcvncxNfqb+zd+0lP4g+BHgrxT8Yf28dTt/FV54es7nxBaT/ELT4dl0yBnVogvyc9V7dOK+Ghxhg8Piq0J0GrSteKV3bS8ttfvP3Lj3wtzHhvhjKcdUzFV1WhpBt2p3Snalq7w11aUdbO3vafpKqqg2qoAHQAUteVfs2+L/EfjIXusy602p6TdQJcWt+J/NikZ/mBicZVlZTn5TjG3HXn1Wvqssx8MzwccRGLinfR+TsfiuKw8sLWdNu9gr84/wDg5k8XfHLw3+xNoumfDWfUYPC+reKFtvHs9hH8pttm63imccpE8wGf4WYIpPIB/RyvIP28vDWg+M/2U/FHhHxTpcd9pmqSafaahZzZ2TwyahbK6HBBwVJHBB5qM4ouvlVaClb3XqvLX8dn5H0XBGe0eGeLsFmlaiqsaVRScX16XV9OZX5ovpJJn4m/8ENfjf438J+L/F/w61v9pDVPBXgYaV/aIt4vE1vp8EmqtLDGrKZwcsYVkyE6hF3dFr9MfBGp+Avijfarpfhb41nx1rGoactndXJ8SQaldw237xUQeT9xA00jDK/ec8npXef8E7/gl8JPgZ4m8feAvhF8P9O0DR1g0i4+w2MZ2mV/tm52LEszEKoySeFA6ACvqGOCCI5ihRSepVQK+Iy3hqvmWVU5yxUlCWvLZtKz/wAVvwPrPEfjnBcS8Z4nMsNhFTUrJbcztFLmlZfE+tm+13uUfCGhR+FvCel+GYpHddO06C1V3ILMI41QE44zx2rRoor9ISsrH5U3dhX5TW3xX8TR/sF+LvF3jn4g6pB8XbnU9QOsxTiI6tD4zF432SwjtTn5hLBbRwwqpzbxoVBX5j+rNfAfx8/Zy+Beu/ta+Mf2gda+F2l3PjTTfiX4disPEU6M08CrDoqrtG7ZkK7ANtyM8HIFfHcZYeVXD0JKbVppaf3uvqraerPtuDcyyvB+2pY2k5K8KiaUW26fN+7fNa0KnP7zV2uWL5JbFD/gvt41/aX0H/glrptz4RTUbWbV9R0y0+KL6dbjMNhLay+ekhXPlxNd+RG204IfYTtYg/Hn/Brnr/xitv2qPHHhvw7Bdv4HuvCCz+KHW2DQR30cwFjukI+Ryr3YVQfmAfg7cj9ff22dK07Xf2RviNoesWaXFpe+EL23u7eT7ssTxFWU+xBI/GvJf+Ce3wI+Dv7PnxT8eeDfgn8O9O8N6Zc+H9Furi005WxLMbnVF3szszMdqgDJ4A4xU47Cy/1twsud6xf/AJKn+fX5n3GS+I+X4HwkzHhyWCi6lad1NW5bScXeS35oW9y3lty6/VdFFFfaH4gFFFFAHzvY/Cr+2fjdDYnSJbFLLxe+uzC2UhDIJpJi5LA/K7sSfUk4xX0RRRXlZVlccrhUipuXPJy18+n/AATqxeKeKlFtWskgplxBDdQPbXCBo5EKup7gjBFPor1Gk1ZnLscf8Pfg9pPw/wBYudYt9SluXlQxwCSML5UZIOOOp468cdqvfEj4dWPxF0qKxuL1raa3lLwXCx7sZGCCMjIPHccgfj0VFcEcqy+GCeEjTXs3utfXe9/x0Oh4rEOuqzl7y6mf4W8O2XhPQLbw9pzM0Vsm0O+NzEkkk47kkmtCiiu2nThRpqnBWSVkuyRjKUpycpbsK+D9Z+IVzaftsfG3/hefjRtPudG/s3/hGLPXLmO1tbbwqtmkn2y33EBo2vXvBNNztaKNWK4UV94V5n+0B+xv+y7+1Rf6Lqf7Q3wS0PxZceHndtHm1W3LNb7ypdcqRuQlFJRsqcdK8fP8qq5vgfYU58run5Pyf5+qPouGszy3LsRVjjoydOpDl5oqMpwalGacVJxTvy8r96Okm7u3K/gb9jj9ofTtb/Z40a68aft1a3pzx3d/b6RaXXjfT7GVNKivJotP3QFAYybRIDggHnJ5NfbP7MvxA13x7qi6vpfjE+INFnsCTqaXq3EMhXCK6yJ8hYlSDt6/NxkcezR6fYRRrFFYwqqqAqrEAAB0AqVESNdsaBQOgAxXnYPhvGYfFU6s8ZOSi721s/L4n+WxGaZ1hcfiK1Sjho01UlJpK3upu6S0W23QWiiivrD54+af+CrHiHxj4e/Zjsf7E1TUNP8ADt/450ey+I2o6YoD2vh2Wfbds79YoWPlRyyD7sUj5IXcw+ZPjP8AHTSPDf7X/wAOPDvhb9pJ/C1rfeGNXl8XnSPENnaxfYfLiksZJJpM7S07DywD86MxAKgkfpRrGj6T4h0i60DXtMgvbG+tnt72zuohJFPE6lXjdWBDKykgg8EEiuC/Z6/ZH/Zs/ZR0HUPDX7PHwe0fwrZardrc6lHp8TFrmVV2KXeRmYhRnC5wNzEAFjn5XN+H8TmWZQxNOu4JK3W63+HVb311XzPtso4hyfBZJLD4jD89WPtFHSPJL2kVHmm37ylT+KFlJN8vwcrcvmXwJ46+HvjLxfD/AGP+0QfHetxWkkdjb3Xi221Ge3hZ42lEUcOCAzRw7jg/cTp3+uPgn4JT4cfCTw94GjkmYaZpUUObgjfwOc4AGefSulS2t4m3RwIp9VUCn105PkU8sxNSvUrOpKSSu1287u581jMfHFU4wjBRS7f8Mgooor6E848y+KP7Gn7LXxq+K+hfHL4rfA/Qdd8W+GvK/sTXL+2LTW3lSGWMcEBwkhLKHDAEnGM16SbO0JybWP8A74FSUVEaVOEnKMUm99N/XudVfHY3FUqdKtVlKNNWinJtRW9opu0VfWysIqqg2qoAHQAUtFFWcoV8p/8ABT/xV4j8O3HwhstV1270r4fX3xCA8d38LLHb747eSXTYrqUkeVbvepCCSQrMEUnkBvqysb4h/D3wR8WPA+q/DX4k+GLPWtB1uye01XS7+IPFcwuMMrD9QRgggEEEA1xZlhJ47A1KEZcrkrX/AK6dH5Hr5Fj8Plma08RXhzwXMmtL2lFx5o305o35o305kj849e+Oum6H+3Xqvguw/aju/Cmiw/DaGTxPbWPiWzsYY9WS+K2qM8gLGY273JaPPyqI2IG5c+7fB/4zDxBdN4f+HX7R1141vI7hbgxDxPBqM0WcIARByIz6MMZJr6J+Bf7OPwM/Zn8Br8MvgP8ADHS/DOhLeSXR0/ToTteeTG+RmYlnYhVGWJOFUdAAOzjggiOYoUUnqVUCvk6HCOOhRjB4ySS6K9l6e8vy+R6+bZ9ldfFL6ph/cjFRTkkpStvKSV0m30UnZWXM7XZAZmgRrhQJCg8wL0Bxzin0UV9wlZHyIV+T178aNS0T/gnr45+IfxT+Kt9pfxQF1qk3iW4vpoY9SsfFyXLtb2qwNkIUkgt0hiC4+zxIygqNx/WGvMtW/Yz/AGWtd/aCtv2qtY+B+g3HxCs0RbfxTJbE3ClYjErEZ2s6xnaHKlgAoBG0Y+f4gyavnEKSp1OTld/+D6q2nq9UfX8LZ3lGVRqwx9FzTlCa5VFtunz/ALt81rQqc/vNXa5YvklsfIWi/GP4eeI/BGn2HxN/bcm1JrvSrca/o+o/Eawa3uJGiUzQyImMoW3AqCOOM19Ufsv+DTba7r3xJdps6rYWVjHuA8t0gkuZN68ZOTckE5I+Uehr177FZ/8APpF/37FSAAcAVz4DhuthMwhiq2JlUcU7JrurbuTPHxeaQxFKdOFJQUnfTbe+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": "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": "94c2c1eafae0052eda5967fd68227ddad569aabc99166308b96d194c4e25db7c"} +{"episode": 26752, "episode_seed": 2914658054, "split": "train", "timestamp": "2025-10-28T03:45:06.416042", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2914658054, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 6, 1, 8])", "action": "('move', [2, 6, 1, 8])", "reward": 0.0, "image": 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", 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", "info": {"equation": "7*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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b8PVHuZVRlQTxVR2il9/9fmcd4D8d/DD9oL9q7wl4Y+J9vI3w0s/EFxZ+Gbm4gt30zxR4rtVlIgnkMxJgiCu1unl7Z7mBst+6iWT9Da+Vfj1+yZ8PtD+Hi/BqDQBB4MuNOjstMhtFVXsPKCmMxnbiOVGVZEfGdy56g16h+yH8QfiT4k+HUXhD403tve+KNEQQ3WtW0yFNZiH3LsIqR+W5GBImwBXB2llKkrhjFU8vrTyuvFQqJ6f3v6Wq7oM0pSxEI4qm7xt9x61RRRX254YV5T+3Hr/xy8K/si/EHxF+zVY3Vz47s/Dc8nhmGytFuJjcDHMcbZDuF3EDByQMAnivVqKzqwdWlKCdrpq63V+qOvAYmOCx1LESgpqEoy5ZaxlZp8sl1TtZ+R+cPwW8ffs8af8Asbwa1cfGKO48ONoUq+KPEOt6xGb43t1EZLs3Zkb5b15JmYxPhi8gG3kCvpX/AIJT+Ifjh4n/AGFfBWqftALqh1sRXMVjNrdgttd3GlpcSJYSzRqq4d7UQsSVBOckZNfJHjr9jb9lnxxL8XPjZ4x+Buhan4qXxp40n/ti9ieRjJDqF8sTFC3lkqETGV/hBOTX6L/Axmf4J+DndiSfC2nkknr/AKNHX5/wbh5UsyxN5t8vu+ur1fnp+LPu+LMzyWtlqhg6cnOtNVJSmop07KX7uDi3zJud5StC/LH3FY/mj/4Km+Pv2nPHX7bXjYftUXGsLremaxcWmk2Oqw+Ulppglc2qwRj5ViaMq4K8OWLEkkmv0o/4Nc/FP7Q+ofCvx54V8U2l+fhpYXcEnhO5uLILD/aLs5vI4pcBnwBEWXkKW7EkV75+3T+zP8BP2jP2zPI+OPwv07xKmk/C/TW00X7SD7OZNS1EOR5brnOxeuenFes/8E1vCPhfwD8I/FvgnwToFrpWkaV8SNTttO06xhEcVvEsdvhVUfmT1JJJJJJrPKMHKjxfVg6jfKm79720f3/gfqPGvjBlPEfhXQyOllyp1LQTfu8lPkfxUrapytbVKylJXlu/oiiiiv0g/mgKyfHfhzwV4v8ABeq+GPiPpOn3+gX1hLFrNnq0aPbS2xU+YJQ/y7Nuc54HWtavzH/4Ob/iD+1D4Q/Z28IaB8JrjV7X4e65eX1v8Sb3S4fkLf6N9it7iVfmSGQtcArwjsqq2flU8GZ4yOX4CpiJR5lFbLr0+7v5H1XBHDlbi3ivCZTSrqjKrKynL7Nk5ad5aWgrq8mldXufWv7GPwC/4JrfDPXNd1/9hvQvhw2pS2kNvr974O1uHUZ4oGZmjjd1lkaJHZGO3KhzECc7Bj3/AOxWf/PpF/37Ffygfsl/GH45/BP456N4n/Z6+IWp+G9eu51sGvdNvEh8y3lZVkjlMn7sxnhj5nyqVVuCoI/dCf44/DrzXEP/AAUF1MpuO0/8LN0/p2/hr5DA8Z4Gnh1GVBx8oJW/Q/SvF/wxzHhHPaTq5g8V7aN1Ko37VctlaV3LT+R31s1b3bv7xSKOIbY41UeijFOr5m+E3xa8TeO7nTtU+HXxIbxTEjJai7tdTS7hn2FQwleIlM5xvbgjd2zX0zX0mTZ1SzmE5U4OKi7a9b/1quh+MYzBTwTipSTv2CiiivaOIK/OrRfHXi3Wf+Ch3xc0j9o3xXqNt4l0+/XT/hX4e1hktrVvC7r5wn06PIFw8ssDGeRd7D7LEG27cV+itfH/APwUl+A3wd/aD+Ofws8I/Gr4fWPiLTbXwt4pu7e0vi4WOdbjQ0DgoynO13GM4+bp0r5fi/DyrZNKak1yNO3fW1n99z67hDMcBhMVWw2Mg3CvDl54qMp02pKacVJpO7jyyXNFtP4ls+W/Yn+I/jLxN/wUi8daN8KPE11rfw2bwDbv42uLaKGbTbHxPFLFFbQxXKDPnNZ7/NjDHaY13BSBn57/AODobx9+05ofhnwT4J8LXGsWvwq1eCQ+JZbGHba3WprLuhguJF5ICLvWNsKWXcASny/ZH/BNf4Y/D34O6v8AFP4efCzwfY6Doljr+lG103TotkaFtKt2Zj1LMSclmJJ7muw/4KTeGPD/AI1/ZA1zwf4r0qK/0vVfEXhu01Gynzsngk17T0dDgg4KsRwQeeDXDhcHOrwbyKo1eLl8lry+mlvmfVZLxjlXDniNhc0pYNVKNC0OWSSlLRr2r3iql3zR3tZR5nbmP5//APgkN4p/aI8K/wDBQH4ey/s22l9cape61Baa/DZWSzq2ivNGL4yhgQsawgsXONpVSDnAP9OtfB37K/7MH7Pn7Of7X3gR/gd8JdI8NPqmma8uoTWEbmSdUgtiql5GZtoJJ2ggZ5xmvvGteCaTjlUp8zd5PTordvXqdXjVx3gOPOJqeKwmG9lGEFG7tzz1vedrr3doq701vrZFFFFfYn46FFFFADLprhbaRrRFaURkxKx4LY4B9s18i3/wEt/F3huf4EWPh+50qyuo/srWtjGQbOJpAxKlw2FBPDNkcj1r69owOuK8LOcjjnE6TlUceR3sle97fc9N9fQ78Fjng4ySjfmCiiivdOAKKKKAOQ+JXwi034h3EOo/2k9ndwx+WJViDq6ZyAwyOmTjBH3j1rX8EeDNL8CaEuh6W7yDzGklmkxukY9zjjoAPoBWxRXDTy3A0sZLFRglUlu/60+ZvLE15UVScvdXQx/HHgvTPHmhNoepyPGPNWSKaLG6Nx3GeOhI+hNZHw1+EemfDyebUP7Re8u5o/LMzRBFRM5IUZPXC5yT90dK6+iieW4GrjI4uUE6kdE/60+e4RxNeNF0lL3X0Ciiiu4wCvKf249f+OXhX9kX4g+Iv2arG6ufHdn4bnk8Mw2VotxMbgY5jjbIdwu4gYOSBgE8V6tRWdWDq0pQTtdNXW6v1R14DExwWOpYiUFNQlGXLLWMrNPlkuqdrPyPzh+Cnj79nix/Y3g1qb4xR3HhxtClXxR4h1rWIzfG+uozJdm7MjfLfPJMzGJ8MXkA28gVxn7DH7SOq+Jf2ZNA1X4yft1a3Yar5t1FaW154406xlGnxzulmXg2AxsbdYyQQD6ivuTxL/wTe/YV8YfGZ/2g/E37MHhW88YS6nHqM2sTWZzLdpgiZ4g3lO+VDFipLN8xySTXtJs7QnJtYyfdBXwmE4Px9CU2sW4Xf2b3frqtfv8AU+5znifh6vhZQwmHlOdSanKVRQTp2Uvcg435k3JuUrQvyx9xWPiD4f8Air4W+KvF11qPh/45QeNvEU+nxwzXNx4pt9RvEs4nYrGBERtiWSZj9370vJ5Ar6a/Ze+GJ+GfgbUvN+1LNr/iO61ieK7ADRPNsXaBgELiMYByeetejJbW8R3RwIp9VUCn17GUcOSyzHSxVSu6kmrar03d3fY+PxeZLE0FSjBRSf8AXRBRRRX055YVneL/AAh4W8f+F9Q8E+N/D1nq2j6raPbalpuoQLLDcwuMMjowIYEHpWjRSaTVmVCc6c1ODs1qmt0+6PJf2eP2Ef2Qf2UNZ1HxH+zz8AtB8L6hq1qttf39lC7zSQq24RB5WZlQtglVIDFVJztXHq32Kz/59Iv+/YqSiopUqVCHJTiorslZfgdOOzDH5niHiMZVlVqO15Tk5SdtFdtt6LRDUijiG2ONVHooxTqKK0OQKKKKACvzq0Xx34s1n/gof8XNH/aO8WajbeJtPv10/wCFXh7WGS2tm8Luvnefp0eQLl5ZYGM8i72H2aINt24r9Fa86/aJ/ZK/Zu/az0TT/D37Rvwe0fxZa6TdNcaYNThbfayMu1tkiFXUMMblB2ttUkEqpHiZ/lVXN8F7GnPlad/J+TPqOGM3y7K6leljabcK0OXmioynBqUZKUVJpO7jyyXNFtP4ls/zqt/2jdPtv+ChviPwp4I/a1u9A8FyeBobnxeNN8TWNpZpr8ckcECRzuCXf7MjCRATtZMMFIFeu6j8Vfgp4hiisPGf7aI8QWEd3BctpWtfEWxltpZYZVmhZ0XaW2SpHIOfvIucjg/afwg+B3wi+AXgCy+Fnwa+Hml+HfD+n7jaaXptsFjRmYszHOSzEkksxJPc1032Oz/59Y/+/YrwaXCOOjh1TeMkla1knb0+JafI6M44hyvFYuLwmFUYQiopuynK3252VuZ9k3ZWV5Wu/nz4I/DF/Efxh0X4mzi6RfDVlfxwMqgRStdJGjBiRyQIwQARjPNfQ9GAOgor6TJsrjlGCWHUubVu9rb+Wv5nzOMxTxlf2jVgooor1TlCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAzPGfjLwp8O/CWp+PfHXiC00nRdGsZbzVdTvphHDa28alnkdjwFCgkmvlz9m7/gt7/wTw/an+MOifBD4Z/FDWbXWPFiXDeCLnxN4Rv9LsvFAgYiT+zrm5iSO6xg8IcnGBkkCu0/4Ks/s9/Ej9q3/gnL8Yv2ePhAEfxN4q8EXdnosEkwjW4nwHWEseFD7dmTx83NflH8Ofhj+0r+2dr/APwT0/Zk8F/sd/FLwLq37L+oRXXxc8UeNPBs+ladpK2gskZLS6lAS8MptHZRETktFnqSoB+71FFFABRRRQAUUUUAeR/tlftwfs+/sHfDOD4q/tDa3qttp15em0sLbQ/D91qV1dTLE8zKkNtG7YWOOR2Y4VVUkkVsfso/tSfCL9tH4BeHv2lvgRql5e+FPE9u82k3N/YPbSuiyNGS0bgMvzIev1rzH/grB8a9J+EH7E/jTR7z4eeOfEt9408P6l4e0Wx8B+Cr3W7gXk9jP5bSx2iO0MJK7TKwCgsozkgV4X/wbc/EW9tv+Cc/g39l7xl8HfiN4R8W/DjRVj8RW/jfwBqGjwO9xdXLottNdRItzhVy2zO3cucZGQD9BqKKKACiiigAooooA+Tv2m/+C0/7C37JHjnWfBHxh1vxtGnhq8itPFHiLSfhxq15o+jTyFQsdzfRQGCNvnXjcfvDvX0x8O/iH4I+LfgPR/if8NPE9prXh/xBp0N/o2rWEu+G7tpUDxyIfQqQeeR0ODX5P/8ABaf9sz46/tK/GnVP+CXul/AP4y+DvgnIEj+Lvxc8NfBnVteudehHlzHTNIW3geNUfhXumJHDADC7ZP0o/Ym0X4Q+G/2S/h94b+AfgzXvD3gzTvDFtaeHNG8U6RcWGo21tEuxRcwXKrLHKdpZg6gktnHNAHqNFFFABRRRQAVS8SeItG8IeHb/AMV+I75bXT9Ms5bu+uWUkRQxoXdyFBJwoJwATxV2sX4j+LbvwD8Ptc8c2Hg7VfEU+jaRc3sOgaFCkl7qTRRM4trdHZVaWQrsQMygswBI60AfMHws/wCC3f7BfxU+Pnhn9m2DXvG3hzxL42Zl8Ff8Jv8ADjVdGttfIzg2k13AiyhsfKRw2QAckV9c1+H8fw48bfG//gtB8Cv2kv2FPgL+0rNHp3iW/uvi9f8A7RXh3URonh/TbmbdPHpp1cH7NKFaYRranap8kJxmv3AoAKKKKACiiigArJ8e+O/Bvwu8E6v8SPiH4ktNG0HQdOmv9Z1a/mEcNnbRIXkldj0VVUk/Stavhv8A4LWfs9/ts/tQeHvhp8K/2ePgppnxE+G0fiv+1fjD4FvPHkXh1/EltbbJLPT3u5IpcWrTjfMixsXESrlc7gAex/8ABPv/AIKcfsmf8FOfBXiD4gfsleKNW1XTPDOqpp2qzaroU9iyzvH5ihVmALDb3HTpX0DX5Lf8G1ngr9sb4YfGL9qPRvjn+xfe/Drw94l+Meqa0moahqTRpb3jXEmLGyhe2jF7aKrHbexERsEGEG4Y/WmgAooooA//2Q==", 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", 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", "info": {"equation": "7*0=0", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "1912f13313ab9c4a01583d77437053b1c8cffeb7567dc1a70b32a18835d170ec"} +{"episode": 26753, "episode_seed": 2512202070, "split": "train", "timestamp": "2025-10-28T03:45:06.482865", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2512202070, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 0, 2, 7])", "action": "('move', [0, 0, 2, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "12+33=45", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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xR0myTxFIjNcLB9gsU2DJ2j5SVyFzgkZwTXDxbhp16eG5ZuP7xR07y6+qtp6nu+E3HmA4I/tNYnCKv7eg4q9tGr+7K/8Ay7nze/a792OjK2hfEn4Y+K/Fdjp8f7V7+MruO5d9I0jUPHFpe/vjG6eZHFHhmkEbyL3wrtx3H1z8CPBzeA/hXpnh1/ODb7m6dZwA6tcXElwVIAGMGUgDqAOea6tbW1RgyW0YI6EIKkrtynIqmW4uWIq13UlJcuq6Xvu2z8xxePjiaKpxgopO+n/DIK8O/wCClXib4xeDf2Dfin4n+AT3yeLLLwnPJpkumRb7mFcqJpIh13rCZWBHzAqCOQK9xoIDAqwBBHINe7XputRlTTtdNXW6ut/kRleMjl2Z0MXKmqipzjJxltLlknyvydrPyZ/NL/wRv8ffEzSP2y/D/gLw74nvIfDmv3pn8Uaak48m8Nvb3DWzurfeZJXypX5hub+HdX7J/szfEHVP+Eu1vwR4R+Ib3uoWnji9mufDqamkhsUkuCAGhX5oo3GX+bglmYH06r4n/so/s5fsw+BYm+AHwf0bwofEfxB0+71s6TblPtUoE20nJOFXe+1BhV3NgDJr0f8AY6jQfCi8kCDcfF2s5bHJ/wBOmr82wnDuJo5vHCOu01DmvG+3P8K1Xr69D9W8TOPsv44zqecYXC+zg1GFpW5m4x+KVrq+vKtfhjHXoerUUUV+nH42fml/wc9eKfjLon7HXhXQ/A8t/F4T1fxb5PjaSzj/AHbhI/MtIpmHIjMqswB+UvGmeQoPzH/wRG+O3iPT/gN4k8F/EP8Aav1bwhoOi61EnhTSv+EvtbCNfNWSW68tJgWK72jY4+UM7Y5LV+znx38IfBfx58Idf8KftEWGi3Pgq7sT/wAJFH4hnSKyECsH3yu7KIwrKrB8jaVBBBANQfAPwJ8B/Avwg0Lwt+znpGgQeCra0J8Pp4dlSazaJnZy8cilhIGdmYtuOSSSSa+SzLh/E47NniKeJdO8UtL3Vu2q0e/qfsOF8RMDh/CX/ViWA5p+25/a2XLvzXva/tbe5/1769D4FsPBPwO8H/G/4P8AxL/Zrn0zUvH2sfF2FJPEekXUOo6hrtlcu4157ucFmmjW1MsjueIXWILs3BW/S6viL4J/AL4L+Ff25Yfjf4d+G+m2ni7W/iX4nt9U1+NGM88Qj1UbOSQo/dR52gZ2DOa+3afCNCVDCVk5N/vJLXysr/PqfHcW5rTzH6rCMpTcKesp/E3Jt8q1l7kPs3d23KVo35UV+C3/AAc3eKfjLfftuaJ4T8XzX6eDrDwjBP4NgePbatJIx+1yoRw8nmIisT8wCRjgYz+9NeRftafCH9ir4r6d4ai/bN0PwVd21jrWfCx8ZX8Vsv21wP3UJkdPMZwozFyG2jKnAx6efZfPM8udCM+V3Tu9tOj/AK3se14TcY4bgbjKnmdfDOvHlnHlik5rmXxQv10s9vdcj4G/ZL+NunfFr9i7wpZftO/tq6m+oa34ce38S6JqXxFtLYTWrPJGsMyArIoe32BssHIY5IJNe5fsI+E/Afw0/br1/wAG/s5+H9O0zwre/Cq3u/HWn+HbOFbCDUku4k0l2Mf+rnltHvjtGN8caSEEkM31X+0bpemy/s7ePLWTT4TG3grVEZPLGCv2SUY+mK8Q/wCCcfwL+D/wA8T+NvCXwX+H2n+HNOutG0O7ubXT1bEs7SakpkZnLMx2qo5PAHFfM0soxGX8QYWNTESqXUnrfSy21b0ZFXijDYvAZnWjTdNV5O1KNvZLnle71WtPTkSjuk+Zctn9UUUUV9+fnB4/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/GLQP2D9M074ezX8Xh7VfGNvbeN5bKPKm08t3hSZhysbXCxexYIp6gH9Fa5j40eFfhN42+E/iDwt8d7DSLnwdeaXKviSPXpVjsxaBdztK7kCNVA3b8jbtDAgjNfS5lhZY3AVKEZcrkmr/wBdO/kcfBWeUuGuLMFmlWj7aNGpGTh1fp/eW8f7yR+JH/BDP4za14d+Fvjbwb4y/acv/BXhyz1i1n0Gwh8U2mnJLcyxyfanAlBZztjtsn7o7ck19WX/AIY+DPg74ifDv4sfs06zZap8Sdc+LtjFH4n0jUYtR1PX47i5jGtR3UwZjPAth50kin5IBFGyiPjP3v8As5/D79nf4f8Awb0bwx+zDpHh2HwPCkr6IPDVxHcWbhpXaR0lRmEmZC+W3E5zzxXy34A+AfwZ0T9vCP49aT8ONNg8Zaj8UtWtL3xCqMbiSAWV6uzltqjbGgJUAkLyeTn4LEZDicveE58S5J1IJJXtG/WOv3aI/Qc248wec8ZZlm0KEqEZqT9mkvfslHlrK6SUtZVNJ6txS15l9v0UUV+ln4sFYXxQ0dfEPw413QJNMS9S+0me3ltHBxMjxlWXjk5UkcVu0VnWp+1pShe101f1KhLkmpdjyb9mDwbJpUuveNphOrat9ltgsi4Urb+cdy8Z6zMCeny9sGvWaKK5ctwSy7AwwylflW+19bmuJrvE15VGrXCvye8cfG3xP4d/Y01Pxr4m+Lt/o3xWl+JZj1W4ubq3h1C18Q/20qPaeXJlYo47dVVRjC2qJIDt+c/rDXnafsmfs3R/tAyftUp8G9EHxDlsvssniv7N/pTReUIuudu7ywI9+N2z5c44rzs+yetm8aSp1OTklf8A4K8109XqfTcL53lWURqrG0faJuE42UXeVPm/dyvtTqc3vtXfur3X0+avAvxy8KSeJxpfhr9si78S3d6rQW2k3Hju0uzLzuykcQDlwF6jtmvsTwNca1deD9OufEKML17RDcbxhicdSOxIwSPXNaK2tqjBktowR0IQVJRlOTYjLa8qtXESq3VrO+mvm3/VzwcXjKeJpqMaajbt/wAMgooor3zgOB/aO0VdZ+HqM+lrciz1KG6DEEmApuxIMemcc8YJqb9nfwe3gz4ZQ2TiYPe6heX8iTjDKZ53lxjAwPm4zziu469aK82OXJZs8dzauHJb53vc6XiW8IqFut7/ACsFFFFekcx+aX/Bz14p+MuifsdeFdD8Dy38XhPV/Fvk+NpLOP8AduEj8y0imYciMyqzAH5S8aZ5Cg/Mf/BEb47eI9P+A3iTwX8Q/wBq/VvCGg6LrUSeFNK/4S+1sI181ZJbry0mBYrvaNjj5QztjktX7U/FP4V/Dv43fD/VPhV8WfCFnr3h3WrcQ6ppN/HuiuEDBgDjBBDKrAgggqCCCAai+FXwc+F3wP8Ah/pvwr+EvgbT9B8PaPE0em6VYw4igVnZ2xnJJLMzEkkksSSSa+UzLh3F47NHiqeIdNOKWl7q3RarR7779D9ewviTlmH8Kf8AVSWCUqvtvae00ta/NzbX9p/y72t7Pr0PAv2WNB8K+N/GGg+LfBni7+3rDRb+9v5NatdSjvFurqWG4ilaWZMqzs1zIxAwdw6AAivqKkSOOJdsaBR6KMUterk+V/2ThXRc3NuTk21bV28327n5ZjMV9bqqfLaytYK/Bb/g5u8U/GW+/bc0Twn4vmv08HWHhGCfwbA8e21aSRj9rlQjh5PMRFYn5gEjHAxn96a8++Pv7Kf7On7Utpo9j+0J8IdH8WRaBfG70dNWgLfZpSAGK4IyrBV3Kcq21cg4FTnuW1c1y94enPld0/J26P8ArdI+88K+NsDwBxfTzbF0PbQUZxsrc0eZfFG+l+j1XuuR+ef7Gn7QK+P/ANkHwZdftEfttal/bOpaC0eu6PqnxAsoRJAZJESKWI/OA1uIwwY7iGJJyTX3b+yt4Whgn1v4g2zu0Or2dja2zKQYnigNw6uhA+YH7SRnJBwMdDn1tbGxRQiWcQAGABGMAVKAAMAYA7CvOy/hytg8dDE1cTKpyJpJrurdZP8Aqx81nWe0s2xWIq08PGkqs5T5Y7RvJy5VotFsvIKKKK+pPnTzu/8A2TP2btT/AGgLf9qjUPg5os3xCtbP7Lb+KntyblIvLaL12lvLZk3kbtp25wAK9AW1tUYMltGCOhCCpKKiFOnTvypK7u7dX3fmdOIxmLxagq9SU+SKjHmbfLFbRV9oq7slogoooqzmCiiigDwz9qT4d/8ACb+J00xdJkDa5oTaS19bKTIUdpMpk5UbfMZhx3JOQK9xgiEMCQg5CIF59hTqK83B5dHCYyviOa7qtO3ayt8zprYl1qNOna3Lf53Cvzq/4OYfFHxi8P8A7CGmad8PZr+Lw9qvjC3tvG8tlH8ptPLd4Y5mHKxtcLF7FginqAf0VrD+JPw28B/GHwHqvww+J/ha01vQNbs2tdV0q+j3RXETdVI6jnBBGCCAQQQDWuY4WWOwNShGXK5K1/66d/I97gzPqHC/FWDzatS9rCjNScdNUu19OZbx/vJH4g/8EOvjn4n0f4UeMPA3jz9qfVfB3hnStTtn8Maavi210+LzphM12Y1mBYjIhJA+UFiRyzV+mP7MOh+EfiB4v0PxH4M8b/8ACRWmj6xc6jda3bapFe/abpoJ4n86ZMqXP2gkgYPA7V7/APB/4H/CT4A/D2w+FPwb8Aad4f8ADumeZ9h0qwhxHEXdpHPzEklnZiSSSSa6iOOOJdsUaqPRRivmMHwpiKNSjOrinJU2pctna66K70+7Y9vjrjTCcV8TY3M8NhVSjXei0vayjeVl8Urc0tX7zer3HUUUV9ofnoUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFch8fPjv8K/2Yvg34h+Pvxt8VRaJ4V8Lac17rOpSoz+VGCAAqqCzuzFUVFBLMygAk119fJv8AwW9+CvxP+PP/AATZ8ceDvg94SvPEOuafqeha9F4d06PfcapBpusWd9PbRJ/HI0NvJtTqzBVHJoA9k/ZL/a8+B/7a/wAKD8YfgNrt7dabBq1zpep2WraVNYX2mX9uwWa1uradVkglXKkowBw6noRXp1fF3/BG3wt4/wBQg/aC/aX8V/DXxJ4P0f4x/HvUfE3g3QPF2kSafqI0wWNlaJcz2smHt3lktpG2OA20KT1FfaNABRRRQB43+2V+3j+zn+wb4X0Dxb+0Tr+p2Vr4l12LSdJXStDuL53uJGVQXEKMIowXQF3IXLqOSQK9kr4Y/wCDhHxZqVr/AME/7n4a+GvhZ468V614n8X6C2m2PgjwXe6w8a2Wr2V7O8wtY3MK+TBIVZsBmAUcmvsr4Y/EDSviv8OdD+JuhaVq1hZeINKg1C0ste0qWxvYI5Yw6pPbzBZIJQDho3AZSCCARQBu0UUUAFeBfEr/AIKX/sm/CL9qzQv2OfiF4p1rTvFniLUbbTdNvZvC17/ZDajcwma3sG1HyvswupIwGWLfuwRnGa99r84/27vjXf8Axq/4KufCH9lH4p/BX4pW/wAK/hh4k0nxcviHw98MtT1Kx8TeLpDs02F72CFobSxshOZ55XbmTCNtWNmoA/RyiiigAooooA8C/Z2/4KWfsq/tQfH7xF+zN8Mdd8QxeLvDmmPqb2PiHwjfaYmpaelybVr2ykuYkW7txMNnmx5UkjGRzXvtfmr+wdpXin4gf8FpPiJ+0n8Mfgp8adA8Fax8KJrD4gXfxr0e5h+xeIhq4lgsNGe6LFbQRGd2jtmNtnYV7V+lVABRRRQBHdXVtY2sl7e3CRQwxl5ZZGAVFAyWJPQAc5ryn9jH9tr9nv8Ab7+EM/x0/Zm8UXOs+GYNfvNHGoXOnyW3m3FsyrIUWQAsnzAq44INYn/BS/4f/tC/Fj9h34gfC79lzRIdS8YeI9Mi0230+bXE0w3NlNcxR38SXbqy28jWbXKpIVbazKdpIxXz1/wb5eCvj38Nv2fvi54H+Nv7K7/CiCH4/wDii68PaG2qG5T7PNdZaKAmCLzLaEqscVyoKXCASKFHFAH31RRRQAV41+2J+3T8Ff2IdN8L3vxd0jxfqdz4y1qXSvDmkeCPCF3rd9eXMdtJcuq29ojyELDFI5IHAUntXstfDv8AwXI8EfDTxP8ABnwr4i8c+Cf2gL/WPD15qt54F1j9ny1u31HS9bfTpbeBp3s/38UcgmdAw/dn5hIQpwQD7M8A+MtO+IngbRviBpGnalZ2muaVb39taaxp0lndwxzRrIqTwSgSQygMA0bgMrAggEGtavJP2CU/aEj/AGKPhSn7WDXB+JQ8BaX/AMJubwqZ/wC0vsyed5u35fN3Z34437q9boAKKKKAPEfjZ/wUM/Zi+AX7Q3hn9lvx14j1ifxn4ngguY9O0Lw1eaiml2s9x9mgur+W3jdLGCSfMaySlVLA84Ga9ur8ef8Agoj8Av2yPBf/AAWN1T41fs/6V8YV1z4gD4dp8ONX8Di5/wCEZ8qw1F4tdttfaP8AcrElk8sqJP8AKftDFMv0/YagAooooAK+a/gX/wAFVP2aPj9+0837IPhzwt8SdD8bnSb3U7ey8afDbUtHhurO0lWKaeKW6iRZI97qAy5BLDB5r6Ur48/ZN8BeOfir/wAFTf2if2v/AIg+DNX0zS/DOm6P8LvhnLrGnS2/2qxto/7R1S6g8xR5kMt7coiyplX+ynBOKAPsOiiigD//2Q==", 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", "info": {"equation": "12+33=45", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "87fde2bc7df8ee450bb141fc3a160d7f0b0cc917a67d361872e6da9b18d00ea7"} +{"episode": 26754, "episode_seed": 1021090709, "split": "train", "timestamp": "2025-10-28T03:45:06.539163", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1021090709, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 5, 1, 0])", "action": "('move', [3, 5, 1, 0])", "reward": 0.0, "image": 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", "info": {"equation": "27/3=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": "27/3=9", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "8412b2d26e28b1cfea9ce137acf1290c5e5a92310d1c5f92c582e1510d295db2"} +{"episode": 26755, "episode_seed": 1270663485, "split": "train", "timestamp": "2025-10-28T03:45:06.614180", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1270663485, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 4])", "action": "('move', [6, 0, 0, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "69+49=118", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 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+49=118", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "83f8f0d232bd6dada208df97a78a54d05f56da8b329c0278601b026bfe009cf3"} +{"episode": 26756, "episode_seed": 894080063, "split": "train", "timestamp": "2025-10-28T03:45:06.687814", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 894080063, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 1, 5])", "action": "('move', [8, 6, 1, 5])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "49+61=110", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "49+61=110", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "768660b03cc3d12a930526d8250b3ce5fe14ad39f9b9a9723e0758814d3ccb75"} +{"episode": 26757, "episode_seed": 1579055591, "split": "train", "timestamp": "2025-10-28T03:45:06.734582", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1579055591, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 5, 2, 6])", "action": "('move', [4, 5, 2, 6])", "reward": 0.0, "image": 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", 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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=", "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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", 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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": "d74ab98827bab5b684c843a0fae73faa1b81dcaaca65b34b0477f9eea050f32e"} +{"episode": 26758, "episode_seed": 4250257894, "split": "train", "timestamp": "2025-10-28T03:45:06.785689", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4250257894, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 1, 2, 7])", "action": "('move', [3, 1, 2, 7])", "reward": 0.0, "image": 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CseqhTyME/YNeZ/sc6NpXh39mnwp4e0HTobOxsLKW2srS3QLHBDHPIqIoHRVUAAegr0yuzLI8mXUY3vaMfyR4fE2ZU854jxmPhTVONWrOaitoqUm7fK4V8lf8Fx/EfxY8L/8ABMn4kah8IJb2O8ltba31abT490kely3Ecd4eOVQws4dh0RmPAyR9a1w/7TVjaan+zf8AEDTdQt1mt7jwTqsU8Tjh0a0lDKfYgkVePputgqtNO14tX7aE8OZnTybiDCY+dNVI0akJuL2koyTt87H5kf8ABqlrHxMl8B/FzQb6K5/4Q2DV9Nn0yRoAIf7TeKVbkK+MlvJS0LLngbDxu5/W+vnT/gnf8IPhj8DfDvjL4e/CHwTZeH9Fh1+3nj06wVtgkks4S7ksSzEnHJJ4AHQAV9F15vDUHDI6CvfS/wB7b/A+g8S+IsNxZxxjM1oUvZQqSVo6X92MY3dtOaVuaVr6t6vc+Ov+C83iT4seGP8AgmT48u/hLLexSXD2dr4gm0+PMiaVLOqXOSOVRlIRyP4HbPBJr84v+CGXxr1/Qfhv438EeNP2otT8GeGrDU7Sfw/p0fiy20+NrmZZftTIswLNxHATj5QTnqxz+6nijwx4e8a+GtQ8HeLdHt9R0rVrKWz1Kwu4w8VzBKhSSN1PVWViCPQ1z3wW+AXwa/Z1+H1r8Kvgl8O9N8O+H7KWWS20ywiOxXkcu7EsSzEsTyST0HQAVy5tkOKzHMY4ilXdNKNtL336Wa0fXXoezk/iDl2W+GWK4YqYNTq1a0aiqO1kly3vu+ZcvKunLOW1ve4j9lDx1qPjq2l1Kw8dP4l0b7Ciwax/aCXSTSIQmRLH8jMQrbsdx0zXs1IiJGuyNAoHYDFLXr5Zgp5fhFRnUc2m3d76u/d/mfmmKrxxFZzjHlXZHM/Gm+8b6X8HPFmp/DO2ebxJb+Gb+Xw/DHCJGe+W3cwKFbhiZAgweD0r+df/AIJIfFv4h+Hf257rVPEfxq1TwpH4g07Uj431yTWYrKadsNMBLNcA4droRkj7xOe2a/pOryn4EfCH9jnwN8SvH/iH9nnw94Ng8VavrCyfEZ/D93FNdC9LyuFukV2MDl2mbYQuSWOM5rzM8yatmmIoyp1vZ8t/XXqtVrprrsfpnA/HWD4Y4TznLKuD9s8XCMVKytCza99u+i5uaFvtpd7r4W+OGjfBDV9EuPjr8NvHFn40+K9p4n0P/hEvFX9s22r6uNWS6RLGyiYEhY3BmDQKArI00jAlS6/p/Xxz8efgd8Ide/bu07416z8PtOufFehax4VtdH1yVGM1pC94NyoM7RnzH5xn5jg19jVzcMYWeEq4qEpubU7XfWy366u+vofMcRZrTx2XYKjFybhGTbl05uVKnHV+5BQvH4dZStFbsrnvirb6VcfD7VF1ltsK2xZWCglXH3CAe+7FdDXif7YHxUbwx4TuNH0awlvru0iE5sohzczthbe3BwTl5GUdOMg162eYqnhMrqSkr8y5Uu7lol/XQ+dwNKVbFRS0s7t9kjzv9lHxD4W8aftca7b6jC5uvC/hprXw68kUZilmeWJtSeNt5bfGHsIj8i7d7jJ3ED6wr5OvPgdrf7ON78PtU0K6W61XQbpL/U7p3Qf2jJcbl1Zd5iAHmmaSVQAvzrFkqBkfWEciSossbBlYAqwOQRXn8Lv2GDlgpq1Sk7Nd76p/P9DpzRc9ZV4u8ZrT5boWvw0/4OkfEfxYn/ao8B+E9bkvV8FQeCjdeH4mjxbPfvcyreMp/jkCLaA55UFem7n9y68r/aj+FH7H/wAUbLwvF+1zong+7gsfEcT+E/8AhLb2KBTqTA7I4TI6+a7gf6r5g+0ZU4GO/PcvnmeXSoRnyttO720fX+t7H2PhXxdh+COM6OaVsM68YxnHlik5Lmi1eN+q2f8Adcj4Q+AHj7wF8d/2XPAXhn9pr9qNvEl5q2h6bLrvgzXfG9mba7ulKPFBNaJtLgOsZ8k8FlAZTyK+o/8AgmJHFpPh34l+C/Bi7fAehfESW28FQQRqLS1DWdtLfW9qV4MKX0l0MDhHMiDG3aPQ/wBuLwJ4O+IH7M2veCvGnhy21HStVvtKttRsZ1ISeJ9TtQyEqQcEehBqj+wN4D8G/DD4Ey/D74e+HLbSNE0nxLqEGnabZqRHBH5ucDJJOSSSSSSSSSSa+fy3LK+X8RxhUryqP2bd325rW3enX1ObH8QYfG5DilGDh7ardU1b2ULtS546/Hp7Ne6vcb953se11yPx48I/Bfx38INf8KftE2Wi3Hgm7sSPEUfiG4WKyECsH3SyOyhArKrBsjaVBBBArrq/OP8A4ObfEnxY0X9hbRNL8Dy3sfh7VPGtvB4ye0TKNAsUkkCTMOVjM6IfQuqA84B+pzPFRweX1K0o8yinp39fLv5Hm8D5HV4k4uwWW0q3sZVakUp7ONtbx297T3dV71tUfefwc8HfB/wf8KvD/hn4HaVo0Pg+z0qFPDiaI6S2htNuY2idSRIrA7t+TuzuySc11CqqgKqgAdABX4t/8EavjzrEP7IreHvif+1/qvhe10bxJcWnhfR28a2lisVjsjkO2OUFyvnyTYJ46gcCv1a/Zp8Wax4z8OXevXGunVNOuWjl07UROJUnDqSWjcfKyEbSCvHPFeHlXE+FzHEU8NClKLa8uVWV9PLotF0OvjXhbE8NcQY3CVa6qulUkue7vLXd3+1r7yu7O+r3PS68O/4KV+I/ix4R/YJ+K3iT4Hvep4ns/B10+nS6bHuuIlwBNJGOodYTIwI5BXI5Ar3GkkjSVGilQMrAhlYZBHoa+lr03Woypp2umr9rrc+ZyvGRy7M6GLlTU1TnGTi9pcsk+V+TtZ+R/PB/wQv+KuueCfil428N6j8e73wP4YvfD8V1eSW3iC209bq/jnVIAXmBLERyXPyr9T0Fff2l+GPgtpfx7+F3xd+BGuWPiD4h6x8XbaK68VWWoQapqWrWs0fl6ulxOCS0MengsQMLCI4doXd833N8Cf2YP2ff2ZPD1/4U+Afwm0fwtp2qam+oX9rplvtWa5ZVUudxJ+6qgAcADgCvnbwh8EPhFpX/AAUVuPjpp3w+06LxhqHja8sLzxAqN58lsuguBHydqjCIMgAnaMmvzupw9isteE9piHJOpFcqvZNtu61/Rbn7DxL4j5dxTxfjs4w9CVGE6TSirXqWgo2rWaXK95fHolG2vMvsWiiiv0k/Dz+av9nf40ftFaF/wVmm8YfEf4oa14U8Vax45vbDx/qsl9HYzQ2xmb7VDI0nyRoqxABei+Wm3lVr9ePAE3gT41a1deFtA+PU3jnUtQtktbiZvFFvqNzZ2xfB2iIYjTLEksMZ71rfDz4H/CPSf+Cgt18b9P8Ah/p8Xi7WPGmq2Wpa9sYzz266XKFjOSVAxGn3QCdozmvsOO3giO6KFFPqqgV+cZbw7Wx0at8TJRjUknHdPla1etrv0P2PxL8QsBxZmOExOGwSo+zw8IPbdXulZfBG9ore3a9k+iiiv0c/HArz79pHSBqfgi0uDpguDY6rHcK+0kwHZIm8Y9nK88YY16DRXJj8J9ewVTD83LzJq/Y2w9X2FaNS17O5y/wW8JHwP8LdG8MsZd0FsXYT43hpHaQg4AxguRj2rqKKK2oUlQoxpr7KS+5WM5yc5uXcKxfiRpY1z4fa5oj6ct4t5pNxBJauDiZXjZWTjnkEjitqinVh7WlKF7XTX3hCXJJS7HmP7MfhNtE0PWPEUgmVtZ1FJNsowMRQpECvGcHb7816dRRXPl+DWAwVPDp35Va/c0xFZ4ivKpa1wooorsMQooooA5n4033jfS/g54s1P4Z2zzeJLfwzfy+H4Y4RIz3y27mBQrcMTIEGDwelfzt/8EjfjP8AE7wz+25fS+IPjrrPhKz8SWWoS+PNVfXY7J7qVVklQzyXHBk+0sP9vLsOhav6Sq4L4W/sufs9fBPxl4p+IXwp+EmjaFrXja+F54p1GxtsSajPvkfe+SQPmlkbC4BLk4zXzud5LiM1r0Z0qzp8l9r316qzWvTfY/UOCePsv4V4VzfKq+EVWWMhGMZaWi1dPmvrZX5o22ml3uvnz4CR+Dfiz41tG8LfF2TxpPb67Y3uqasuvwajPGLaVZoo5Hi+VE/dkAEAnc2Dk8fYFNjhhhz5USrnrtXFOrqybKpZVSnGVV1HJ3bfol3f5n53jMWsXOLUeVJWsFcxe/C7Sb34iQ/EKS7fzIkG622Da0gXar568Dt6gfQ9PRXoYjC4fFKKqxvytSXk1sznp1alJtwdrq3yZzXxG+GmnfEaC0ivb+S3a0mLB40DFkbG5eemcDnt6GuighitoEt4V2pGgVFHYAYFPopwwuHpV51oxtKdrvvbYJVakqag3otvmFfht/wdGeKPi6P2rPAPhnU7q/i8G2vgz7Z4cUKVgbUWuZVu3Vh96RUS0B7qCuMbuf3JrhPjj+zH8Af2lrfRbT48/CnSPFMfh3VF1HRU1WAuLW5AxvXBGQRjKnKtgZBwK4M7y6pmmXyw8JcrbT8tH1/rc++8L+MsHwHxhSzfFUPawjGcWlbmXNFq8b6X6P8Autnwb+yz8dbL4i/AH4f3vxw/bEu9X8R6jo2n3Gr+H9X8c2ZWa++R0R7dcPvEgjYJnO4DPORX3n+zt4Sbwn8OQsgmD6jqNzfukwwVMr5wBgcYAIz61232S1DbhbR5z12CpK4cqyGtl+MeIq4h1Hy8uq2V09232PmM3zenmdWpOnRjSU5uXLHZXb0SstFey8kFc/8AFT4V/Dv43fD7VPhV8WfCNnr3h3WrcQ6ppN+haK4QMGAOCCCGVWBBBBUEEEV0FFfRyjGcXGSumeRRrVcPVjVpScZRaaadmmtU01qmnqmtjB+HXwv+Hvwl8DaV8NPht4QsdH0HRLJLTStMs4QI7eFRwozkn1JJJJJJJJJrdVVUBVUADoAKWiiMYxSSVkhVatSvUlUqScpSbbbd229W23u31YUUUUyArxfS/h+br9p062dMkthYanNqjNCp2TM9m9qGYnOcrJ2xynsRXtFFefjsAsdOjJyt7Oan62vodFDEOgppK/MmvvCiiivQOc/Kq4+N+raB8IfhfrHij46X/hzx7qvxakh8Z3cupW1pewXhnuxrME3m5FvHDG7qMAbFFuB99d3098Afi/H4i8VQ6B8P/wBpC58cXX2yGaa1l8VW+ovDHnYciDBWMgnJYY75GK968Pfsu/s9+FPjhrX7Sfh34SaNaeOvEVktprXiaK3/ANJu4QIxtY5wM+TFkgAtsXJOK7qO3giO6KFFPqqgV8Rh+E8bSk28XJLmvZX11vd6rV9dHr3Pts+4jynH1lPCYblvdyuopqU224xtf3IfDHZtXdo35U+iiivtz4kKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACvH/ANs39ur9nL9gj4faf8Sf2jvFF9Y2OraobDTLXSNGuNQu7mVYZJ5WSC3RpCkUEMs0j42okbMSK9gr4H/4LceHPiXoHiL4N/tH+D/gt4r8e6R4PXxro2uaH4L0STUr5Jtb8M3en2U32ePLGL7SUid+kaz7jwDQB90+FfFHh7xx4X03xr4R1iDUdJ1iwhvdL1C1fdFc28qCSOVD3VkZWB9DV+vIv+Cf/wAJvGfwG/YW+DnwT+IsezX/AAn8MNC0nW4t4byru3sIYpY8jghXVlz32167QAVzPxm+L3gb4BfCrX/jP8S7+4ttB8N6bJfanNaWMtzKIkGSI4olZ5HJwFVQSSQBXTVyHx++IGlfCv4J+KfiHreia1qVrpOiXE89h4c0abUb6cBCNsFtArSTOc8IoJNAEX7O3x8+HP7UnwO8L/tD/CK+urnwz4v0iLUtEnvbN7eV4JPul43+ZDx0PNdpXyL/AMEKde1K9/4Ja/Cjwb4g+H3i3wxrHg/w/HoOuaT4y8L3Wk3SXcCqzlIrlEaSL94NsoG1iGAOQcfXVABSSSJFG0sjAKoJYnsKWkkcRxtIwJCgkgDJNAHiX7JX/BQr9mP9tfxH4t8HfAzxFrD6t4Kltv7b0vxB4bvNLuPs9yHNteRR3UaNNbTCOQxzKCrbTjtn26vgL/gkP8WdQ/ae/ag+Pf7WHxX+EHxG8HeOfFV5Y6Xpmg+Mfh7qGkWmkeFdOluYdNt4rm5iSO7uZmkuLufyyQhuEQcJk/ftABRRRQB4jdf8FCv2aNP/AGx7L9hbUtZ1218d6nFMdLa68L3kel308Nqt5LaQ37Ri3luEt2WVolcsqnnB4r26vz2+M+neKfib/wAF0fg74p+F3wf+Lkd74Bt9asviHrXiXSrj/hDI9Cm0hzBd6bLIWtxeyXcsMJeDbMVjkSQbVFfoTQAUUUUAeWftYftl/AL9irwn4d8ZftAeKpdMtPFfjGw8L6CltZvcS3epXjlYYlRATj5WZm6KqkmvU6/L7/g4P+CX7bHxJ8TeAviB8C/2Xl+JvhTwnLozWcNp4mFrdaVrknifS5XuPsqwSyXCtbWiW5mG1baK5uZW3KrLX6d6dNe3GnwT6jZrb3Dwq09usu8ROQCyhsDdg5GcDOKAJqKKKAPNP2sP2rvhX+xp8KB8Yvi9ba9cabJrVlpNrZeGNAn1S/u7y7mEMEMNtbq0kru7BQFBPNdT8JPiXo/xk+GmifFPw/omt6bZa7p6XdtYeJNGm06/gRhwk9tOqyQOO6OARXhX/BWHwh8IfGX7KH2T44+Dvi7rHh+x8V6ZqMh+B9rcS+IbG4t5TLb3UItv36qkyx5eH51JU8KGI1P+CUy/tJp/wTv+E6/teNrJ+IX/AAjC/wBvHxI2dS2+dJ9m+1nr9p+zeR5uefM355zQB9B0UUUAVtZ1jSvD2kXfiDXdQhtLGxtpLi8u7iQLHDEilndmPAUKCSewFeXfsg/tsfAf9uTwJffEn9n+/wBbudIsr8W63Ot+GrvTftaNGskV1bi5jQz20qMGjmTKOM4PBFXf21vhr4v+M/7G/wAWfg/8PiP7e8VfDTXdI0TL7Qbu50+eGEZPT53Xmvj/AP4N6PDX7Q/hH4LeN/D3xN034s2PguxuPD1p4K074yrOuqWt9FodrHrccC3H7xLBdQV1gUfugqt5fyYoA/Q2iiigAr58+Ef/AAUu/Z5+Mn7WWqfsWaJ4a+IOkeONMsdRvvK8U/D7UNMs721srlLae4trm4jWO4i8yRAskZKuGBBORX0HXyh+zn4H8Z/Eb/gqh8fP2m/GnhPVLDSfCfhfw/8ADf4f3WpafLAl7AqPq2qXNuZFAlia5u7eHzEypazIzlTQB9X0UUUAFeBfGr/gph+yR+z9+1D4Z/ZB+JfjPU7bxj4ofT0tVtfD91cWNk9/PJb2CXd3GhitWuZopI4hIwLspAr32vyg/wCCkfwb+OPir/gs18P/ABv4d+BPjrV5o9Q+HbeAdZ0DQpJvDMtraa1fza++uyqPK822tZY5bQzndG77ofmJoA/V+iiigD//2Q==", 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", 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", "info": {"equation": "17+5*5=42", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "17+5*5=42", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "82dd48633552e098b1b9aeffd96fc785bc642c40b7e046d72cd7ef52addf18f5"} +{"episode": 26759, "episode_seed": 2187467982, "split": "train", "timestamp": "2025-10-28T03:45:06.843561", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2187467982, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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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7PmSRjrvWLewI5BGRyBXtlNliiniaCeNXR1KujjIYHqCO4r3q9N1qMqadrpq/a63PgssxkcvzKhipQU1TnGTi9pcsk+V+TtZn8+P/AARI8Y+OJ7P4qeBbrxHdf8IzZeBr/ULXT2mXyre+lEMck6g8qzRxRgnpiNc9BX7a/smeNNS8c+Fpdai8Yt4h0p7e3+xayb1blbhgpVmWVPlcnaNxXjPpmvH/AI9fs6/BD9mXwZZfD/4B/DTTPC2jT6D4lvptP0qIqj3Ei2IeQ5JJJCqOvAUAYAAr63s0RLSJUUKBGMADA6V8NkGS18Hm04yrP91y3SvaXNF26/Z6afcff+JXF+C4xz6vmuGw/s4V3onbmXIoxu7aXla7s+u73JKKKK++PzI+Tv8AguB4g+KHhr/gmJ8T9Q+FEt5HeyWFtb6lLYJukTTZbqKO86chDA0gcjohY8DJr50/4NbtV+It3+yV480rXorj/hGrTxwp8OySwAIZntkN0qN1YAiAkdAWPqa/QT9prTrHWP2cfH2kaparPa3fg3U4LmB/uyRvayKyn2IJH41wH/BP34X/AA8+DXwr1/4dfCzwjZ6Hodh4vl+yabYqRHGXs7N2PzEkkszEkknmvnK9FviijU5n/Dlp00f/ANt+CP0vA8X4TDeFWL4ceGTqVMRCoqmmiUVp3uuWy6cs5bdfd6/FT/g6k8Q/FEfGP4WeGLmS8TwYvhq6u9PAjxBJqn2gpOdw+9IsItuD90Scffav2rrivjT+zl8Df2i7TRrD44fDHSvE0Ph7WY9V0aPVIS4tbuMELIuCM8HlTlW7g4Fd2dZfUzTLpYeEuVu2vTR31OHw04vwnA3GFDOMTQ9rCmppxVr+9FxTjfRNX+658AfCHxD8K/2jPgf8PdJ/ac/aDtvHerTaFYahqXhDxR4wsrm2/tP7H+8Z7NMBmTfKQrZCHJxlQR9gf8E2Jr2T9i7wdA8txJp1r9vtfDEtzEEaTRIb+4i0xhjhkNklsUf+JNrZOc0z9v74SfDT4yfCTRfh78UPBlnrWi33i+1N5p10GCSlIbh1yUKtwyg8HtXdfstWNlpX7OHgfS9MtI7e2tfDFnDbW8KBUijSJVVFA6AAAAdgK8PJsurZfntWFSs6j9mtX5y9Xtb8TmzbPKGYZA6cIOHPWc1BW5IJKWkNftOeq5YpKEdZX93va534swaZP8O9VGrNiJbYsrBQSJARsxnvux+ddFXjH7YXxIvPDvg2Xw/4btGu9T2LJBaL0muHby7aLODjdMyZOOBzyK9zO8TDDZXVcle65Uu7lokfLYGnKriopaWd79ktTjf2Jdd8NeMvjX8QtXeMnUtHtrPStKeWOPDWSyTfaJIWDlmDXiSRSAquDaxdetfTNfMvhD4P3X7OHxi8B2nh6686Cz01tM1eeaSNWvbe6VWnlLeWMv8AbYo5sDZ8rP3IU/TVcfDUlTy94WStOk3GS+d0/mmbZmubEe1TuppNf5fIKKKK+hPOPwS+DPjX9pa9/wCDkGbUdVXU5fETfFbUdPv4prUFk0BVliA2kYWFdPVGVh/CFYEkjP7218pW/wAHfhdB/wAFKJvjhF4HsR4un1z+zZdfKsZzaDw2GEXJ2gZA5AB4xnFfVtfN8OUXRhiU5N/vZ7+Vvz6n6X4l8YYTi+vl1Shh1RVHDUqbStq43va32VtFPVIjvLW0vrSWy1C2jmgmjZJ4ZkDI6EYKsDwQRkEGvOf2Wvhn+yv8NvhND4d/ZG0jwrD4Oa/uJoT4UvI7q0e5L4mbzUdwzhl2n5iRtC8AADif+CqXiD4oeFv+Cd3xc174NyXia/b+EJzBLp8e6aK3LKt1IncFbczNuHK43DkCvyT/AOCFvxl1rw34L8feCPFv7TmpeCfDVrfWd1o1hF4rttPikvJVkW5dRMCWOyK3zjgYHc0s4z7D5RjqcKlJyvFu6tda7K/prr2LyDgfF5x4c5hntPF8kKNWnF0ru09lzNXtde09zR6c+x+9aqqKERQAOgApa8t/Zb8Yal428M3OtjxU2uaZKIW0/Vvta3CXHykMySL8rg4UkrxkmvUq9jLsbDMcHHERi0pX0e+ja/Q/OMTQeGrOm3ex+b//AAc6a/8AE/Sv2GNA0rwhJeJ4f1Pxzbw+LWtkyjxLDLJbpKR0QzojehdE74B8S/4JtfEnwz8Sv2BdA+HX7SP7Ud0unyfadK/4QzVPHNta20+kxyeXDayQErIYWUFNpYbk+X7pFfqz+0L4N+BXj/4N654U/aXstDn8D3Nuh19PEl0kFkI1kV0aSR2UR4kVCG3DDAYOa5X44eAPhSn7FXiD4e+D/Dukt4PbwE+n6bYWAVrR9NNt5aRxlDgxmIgAg8g5B7185nORYjF42pioYhwXJsr30vpuvdf530P1HB8d4Wl4d4Xh/wCqtVKeJdX2yt2+y9H7RX7r3Yx17ed/8Ez9I0fwq/xZ8FfDvTLez8FaZ4/QaFaWFrHHZ215JYW0mow2/l8bFuWJZRwkrSIMbSq/UVeH/sDfDfwH8Ivg/qnw6+GXhW00TQ9M8VXSWGmWSkRwhooXbGSSSWZmJJJJJr3CvZyCLhkuHV7+6n9+v4bHwfEuMp47PK1aF7XSu/ilypR5pWb96duaWr95vV7sr8mP+DqnxB8ULT4Y/Cbw3pcl4ng291rUpta8pP3D6jHFCLRZG/veW92VU8HDH+Hj9Z68E/4KE/CX4bfGz4YeGfAHxZ8HWmvaLceNIpZtOvd3lu8djeshO0g8EA9az4jpupkddJ292/3O9vnax7vhtxHhuE+N8FmuIpe1hTk7x0v70ZRur6c0b8yvbVLVblT/AIJPat8Rtb/4Jw/B7UfitFcJrDeDYExdQCN2tEZktGIHrarAQerAgnk19DVxn7ONvBafs+eBrS1gSKKLwhpqRRRqFVFFrGAoA6AAYxXZ16WDjyYSnG97RWvyPmM6xscyzjE4uMFBVKk5qK2jzSb5V5K9kFeQ/tPeBG8caloumf2c5+2QXGni8gBMkazNGXUdQOEDcj+A9ga9eorLMsCsxwcsO5cqbWvo0/0OTDV3hqyqJXtf8VYKKKK7jAK8h1HwL/aX7UFtrf8AZ0kItp11F5olOJytk9sGYnI6Pt4x9we9evUVwY7ArHeyvK3JOM/Xl6G9Cu6HNpfmTX3hRRRXeYHkf7VHgk+NoNJ0wac7m6iu9PF1ApMkQuBGGUdQM7AeR1T6163GgjjWMHhQAM0tFcGHwKoY2tiOa/tOXTtyq34m9Su6lCFO3w3+d2FFFFd5gYnxJ0sa38Ptb0ZtPW7W70qeF7VgcSq0ZUrxzyCelcv+zX4ZfQPBF7qEglDaxq73pWUYx+5ihGOOhEIPPqe2K9DorhngVPMYYvm+GLjb1ad/wN1XccM6Nt2nf0Ciiiu4wOB/aN0v+0fAkE400XBs9UinQ7STCQrrvGP97bz2Y1vfCjwwPBfwz0HwoGkP9n6VBCfOxvyEHXAHNdBRXDDAqGYzxfNrKKjbtZt/qbyruWGVG2zbv6hXOaj8NtL1H4gWnj+W6cS20O024QbXYZCtnqMAnj2Hoc9HRW9fDUMSoqrG9mpL1WzM6dWpSbcXa6t8mc54w+G+l+MNf0vX7y6eNtNl3NGqgiZQQwUnt8wHPoSPcdHRRRSw1CjVnUhG0ptNvvZWX4BKrUnFRk9FsFFFFbkHkSeB2vf2ox4hOnPALSc6g0sSnbOxsDaKzE5/hbHGOYx6HPrtFFcOBwKwKqJSvzzlP05unyN69d13HS3KkvuI7u0tb+1lsL62jmgnjaOaGVAySIRgqwPBBBwQa4/4Ifs7fBD9m3wKnwz+Bfw00vw1oSXct0NN06EhDNIQXkJYkknAGSeigDgAV2lFdjhBzUmtV166hHE4mGHlQjNqEmm43fK3G9m1s2ruze13bcRVVFCIoAHQAUtFFUYH5v8A/Bzpr/xP0r9hjQNK8ISXieH9T8c28Pi1rZMo8SwyyW6SkdEM6I3oXRO+AfIP+CWvxrttc/Yj8LaB8av2sryz+zTXGn2fhXUfGtpbwnTYpPLggaB8SeWVBUAkEqABxiv1b+Lnwh+Gfx5+HmpfCf4w+DbLxB4c1eNE1LSb9CYpwrrIucEEEOqsCCCCoIq/4Q8C+DvAHhTTPA3gvw1Z6bpGjWENlpen2sIWO2t4kCRxqOwVVAH0r5TM+HcVmGYyxEMQ6acUtL39N1p19T9Phx7gI+GtHhp4ROrTryq+00s04tLpfm1s+nLGOvblv2cfDD+HPAU11KJQ+rapLfMsoxjcqIMDA4IjB59fTFd9RRX0OCwyweDp0E78iSv3sj81r1XWrSqNWu7hXnn7SWkvqfgyymTTPtBs9WSZGCktCxjkjDAD1EhXn+9XodFTmGEWPwVTD83LzK1+w8PW9hXjUtezMT4a+HF8H/DvQfCaNIRpmjW1qDLjcfLiVOcADPFbdFFdNOCpwUV0VjKT5pNhRRRViCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACvG/jt+3t+zF+zf8d/Af7OHxa8cz2Hir4jXAi8P20OlzzQx75kt4Xupo1KWqS3EiQRtKVEkrBBk17JX5nf8FVfgn8b/ABj+394d0zwJ8HvFGvWPxT8OeAtE0vxLo+kvPYeH7jQfHKa3fyX0y/LaJ9iYyRs+BI8RRctgUAfpjRRRQAV5d4A/bE+BvxM/ad8bfsh+ENZ1Cfxp8PtKstQ8TW0ukTxW0UN1nyvLndQkx4+YITtPBOQQPUa+LvA/xWju/wDgul438OL8LPiDFaSfA3R9Ai8U3PgS/j0OW/tr6/1CWNNRMf2dwILyAAhsGTfGPmQigD7RooooAZPPFawPc3EgWONCzsegAGSa8h/ZG/bs/Z2/bds/E9x8B9e1aafwfq0dhr+na94eutMu7dpYhNbzeTdRo5hmiYSRSAbXXkV69cTLb273DozCNCxVFySAM4AHU+1fEP8AwRu+J2oftD+Jvjp+1J8Rfhb4/wDCHjrx744tptV0Hxr4EvtGi0vRrSKWz0eyt5LqJFvXW2geeeWPIWW8K8ALkA+4aKKKAOZ+Mnxa8I/An4X618XfHY1BtJ0GyNzdxaRpc19dyjIVY4beBWkmkZmVVRFLMzAAVj/sx/tLfCX9r34J6P8AtAfBHWLq98O62bhLZr/T5bS4hmgnkt54JoJVV4pY5opI2RgCGQ1H+1f4r0PwX+zf4z17xR4Z8a6vpY0Ka31Oy+HFvPLrv2afEEstktsyzedGkjSqYT5q+XlMsAD4r/wRS8DePvhx/wAE6PBvhTx94O17QTHq+vT6Bp3iyy+z6wNHm1i8m0+TUEIDC8e1eGSUuN5dyX+YtQB9WUUUUAecfta/tX/BP9iP4Aa9+0x+0N4kl0rwn4cWA6jdW9o9xKWmnjgiSOJAWkdpJEUKBnnPQV6FZXcGoWcN/bEmOeJZIyRglWGR+hr8/wD/AIOMfgx+1J8bP2MBov7PnwJ/4WJpWl2mtX/ijQLbWBbXaSf2VPb2V1BCIpXvnhkuJJltUUNJJHFhlK8/c3wquvFF98L/AA3e+N/DSaLrU2g2b6vo8V6LlbG6MKGWATBVEoR9y7wq7tucDOKAN+iiigDx34mftwfB34WftQ+GP2Q9Y8P+M9R8X+KtNg1C1bw94Mvb+wsLWa4lt45r26hRo7OMyQyDdKVHy9a9ir4B/wCCh3hLxj/w8t+BPjj9nzwp8aYfiPLrnh+w1XXPDsE48GXHg+PULyXV7fVJE/cmVIZZGRJvm3yQGLJ34+/qACiiigDybwX+2v8AAH4hftR+Jf2QPCGuane+MPCNis+vPFoNz/ZtvIUhka0+3bPs7XSxXEEjQB96pKrEdces1+Yv7DPwY/al+D//AAWt+LsUtj8Trfwjr/iTxb4g8Vy6qZ/+EQvLC9XRpNCksN37lr8SDUY5in7wJDtf5RHX6dUAFV9X1OHRdJutYuYZ5I7S3eaSO2haSRlVSxCIoJdjjhRyTwKsUUAeI/sb/t+fAz9uOXxdZfCHRfGml33ge/tbPxJpXjjwXeaJd2stxCZ4QYbtEc7o8P06Mp6MM+3V8w/8EuvBni7/AIQf4pftD/ETwtqeka38XPjX4h8QCx1qxktruHS7eddK0xJI5QHQGx063kUEDiXI4Ir6eoAK4n9o39oX4XfsqfBbXfj98ZtXuLLw54egjkvpbOxkup3aSVIYoooYgzyyySyRxoiglmdQOtdtXzJ/wWL8JeNPHP8AwTn+IXhfwP4L1nxBNcNpLanpfhuya41RtLTVrOTUJLGNQWN5HaLcSQlPnEsaFPmC0Aew/s2ftGfCz9rL4LaL8fPgxq11eeHtdWcWrX+ny2lxDLDPJbzwTQSqrwyxzRSRujAFWQiu6r5f/wCCN3hLxf4I/wCCefgvw74v8Fa74fEep67LomneK7JrfV/7Jl1m9l0+bUEcBxeS2jwSzGT940kjM/zFq+oKACvHf2xP28f2af2EPDmg+KP2kfGV1pVt4j1ZrDTFsNJnvZDsiaae4dIEZo7eCJWklmYBI0GWIyK9ir88f+DiH4CePPjF+z/4ZvvgunxBPjxk1/wt4ch8D+BRrsN/HrmlyWNxY32XX+z4Jl2D7ecrBsJIyy0AfoXb3EF3bpd2sySRSoHjkjYFXUjIII6gin1gfCrwtfeBvhf4b8E6pcrNc6PoFnY3EynIkkigSNmBPqVJrfoA/9k=", 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7PmSRjrvWLewI5BGRyBXtlNliiniaCeNXR1KujjIYHqCO4r3q9N1qMqadrpq/a63PgssxkcvzKhipQU1TnGTi9pcsk+V+TtZn8+P/AARI8Y+OJ7P4qeBbrxHdf8IzZeBr/ULXT2mXyre+lEMck6g8qzRxRgnpiNc9BX7a/smeNNS8c+Fpdai8Yt4h0p7e3+xayb1blbhgpVmWVPlcnaNxXjPpmvH/AI9fs6/BD9mXwZZfD/4B/DTTPC2jT6D4lvptP0qIqj3Ei2IeQ5JJJCqOvAUAYAAr63s0RLSJUUKBGMADA6V8NkGS18Hm04yrP91y3SvaXNF26/Z6afcff+JXF+C4xz6vmuGw/s4V3onbmXIoxu7aXla7s+u73JKKKK++PzI+Tv8AguB4g+KHhr/gmJ8T9Q+FEt5HeyWFtb6lLYJukTTZbqKO86chDA0gcjohY8DJr50/4NbtV+It3+yV480rXorj/hGrTxwp8OySwAIZntkN0qN1YAiAkdAWPqa/QT9prTrHWP2cfH2kaparPa3fg3U4LmB/uyRvayKyn2IJH41wH/BP34X/AA8+DXwr1/4dfCzwjZ6Hodh4vl+yabYqRHGXs7N2PzEkkszEkknmvnK9FviijU5n/Dlp00f/ANt+CP0vA8X4TDeFWL4ceGTqVMRCoqmmiUVp3uuWy6cs5bdfd6/FT/g6k8Q/FEfGP4WeGLmS8TwYvhq6u9PAjxBJqn2gpOdw+9IsItuD90Scffav2rrivjT+zl8Df2i7TRrD44fDHSvE0Ph7WY9V0aPVIS4tbuMELIuCM8HlTlW7g4Fd2dZfUzTLpYeEuVu2vTR31OHw04vwnA3GFDOMTQ9rCmppxVr+9FxTjfRNX+658AfCHxD8K/2jPgf8PdJ/ac/aDtvHerTaFYahqXhDxR4wsrm2/tP7H+8Z7NMBmTfKQrZCHJxlQR9gf8E2Jr2T9i7wdA8txJp1r9vtfDEtzEEaTRIb+4i0xhjhkNklsUf+JNrZOc0z9v74SfDT4yfCTRfh78UPBlnrWi33i+1N5p10GCSlIbh1yUKtwyg8HtXdfstWNlpX7OHgfS9MtI7e2tfDFnDbW8KBUijSJVVFA6AAAAdgK8PJsurZfntWFSs6j9mtX5y9Xtb8TmzbPKGYZA6cIOHPWc1BW5IJKWkNftOeq5YpKEdZX93va534swaZP8O9VGrNiJbYsrBQSJARsxnvux+ddFXjH7YXxIvPDvg2Xw/4btGu9T2LJBaL0muHby7aLODjdMyZOOBzyK9zO8TDDZXVcle65Uu7lokfLYGnKriopaWd79ktTjf2Jdd8NeMvjX8QtXeMnUtHtrPStKeWOPDWSyTfaJIWDlmDXiSRSAquDaxdetfTNfMvhD4P3X7OHxi8B2nh6686Cz01tM1eeaSNWvbe6VWnlLeWMv8AbYo5sDZ8rP3IU/TVcfDUlTy94WStOk3GS+d0/mmbZmubEe1TuppNf5fIKKKK+hPOPwS+DPjX9pa9/wCDkGbUdVXU5fETfFbUdPv4prUFk0BVliA2kYWFdPVGVh/CFYEkjP7218pW/wAHfhdB/wAFKJvjhF4HsR4un1z+zZdfKsZzaDw2GEXJ2gZA5AB4xnFfVtfN8OUXRhiU5N/vZ7+Vvz6n6X4l8YYTi+vl1Shh1RVHDUqbStq43va32VtFPVIjvLW0vrSWy1C2jmgmjZJ4ZkDI6EYKsDwQRkEGvOf2Wvhn+yv8NvhND4d/ZG0jwrD4Oa/uJoT4UvI7q0e5L4mbzUdwzhl2n5iRtC8AADif+CqXiD4oeFv+Cd3xc174NyXia/b+EJzBLp8e6aK3LKt1IncFbczNuHK43DkCvyT/AOCFvxl1rw34L8feCPFv7TmpeCfDVrfWd1o1hF4rttPikvJVkW5dRMCWOyK3zjgYHc0s4z7D5RjqcKlJyvFu6tda7K/prr2LyDgfF5x4c5hntPF8kKNWnF0ru09lzNXtde09zR6c+x+9aqqKERQAOgApa8t/Zb8Yal428M3OtjxU2uaZKIW0/Vvta3CXHykMySL8rg4UkrxkmvUq9jLsbDMcHHERi0pX0e+ja/Q/OMTQeGrOm3ex+b//AAc6a/8AE/Sv2GNA0rwhJeJ4f1Pxzbw+LWtkyjxLDLJbpKR0QzojehdE74B8S/4JtfEnwz8Sv2BdA+HX7SP7Ud0unyfadK/4QzVPHNta20+kxyeXDayQErIYWUFNpYbk+X7pFfqz+0L4N+BXj/4N654U/aXstDn8D3Nuh19PEl0kFkI1kV0aSR2UR4kVCG3DDAYOa5X44eAPhSn7FXiD4e+D/Dukt4PbwE+n6bYWAVrR9NNt5aRxlDgxmIgAg8g5B7185nORYjF42pioYhwXJsr30vpuvdf530P1HB8d4Wl4d4Xh/wCqtVKeJdX2yt2+y9H7RX7r3Yx17ed/8Ez9I0fwq/xZ8FfDvTLez8FaZ4/QaFaWFrHHZ215JYW0mow2/l8bFuWJZRwkrSIMbSq/UVeH/sDfDfwH8Ivg/qnw6+GXhW00TQ9M8VXSWGmWSkRwhooXbGSSSWZmJJJJJr3CvZyCLhkuHV7+6n9+v4bHwfEuMp47PK1aF7XSu/ilypR5pWb96duaWr95vV7sr8mP+DqnxB8ULT4Y/Cbw3pcl4ng291rUpta8pP3D6jHFCLRZG/veW92VU8HDH+Hj9Z68E/4KE/CX4bfGz4YeGfAHxZ8HWmvaLceNIpZtOvd3lu8djeshO0g8EA9az4jpupkddJ292/3O9vnax7vhtxHhuE+N8FmuIpe1hTk7x0v70ZRur6c0b8yvbVLVblT/AIJPat8Rtb/4Jw/B7UfitFcJrDeDYExdQCN2tEZktGIHrarAQerAgnk19DVxn7ONvBafs+eBrS1gSKKLwhpqRRRqFVFFrGAoA6AAYxXZ16WDjyYSnG97RWvyPmM6xscyzjE4uMFBVKk5qK2jzSb5V5K9kFeQ/tPeBG8caloumf2c5+2QXGni8gBMkazNGXUdQOEDcj+A9ga9eorLMsCsxwcsO5cqbWvo0/0OTDV3hqyqJXtf8VYKKKK7jAK8h1HwL/aX7UFtrf8AZ0kItp11F5olOJytk9sGYnI6Pt4x9we9evUVwY7ArHeyvK3JOM/Xl6G9Cu6HNpfmTX3hRRRXeYHkf7VHgk+NoNJ0wac7m6iu9PF1ApMkQuBGGUdQM7AeR1T6163GgjjWMHhQAM0tFcGHwKoY2tiOa/tOXTtyq34m9Su6lCFO3w3+d2FFFFd5gYnxJ0sa38Ptb0ZtPW7W70qeF7VgcSq0ZUrxzyCelcv+zX4ZfQPBF7qEglDaxq73pWUYx+5ihGOOhEIPPqe2K9DorhngVPMYYvm+GLjb1ad/wN1XccM6Nt2nf0Ciiiu4wOB/aN0v+0fAkE400XBs9UinQ7STCQrrvGP97bz2Y1vfCjwwPBfwz0HwoGkP9n6VBCfOxvyEHXAHNdBRXDDAqGYzxfNrKKjbtZt/qbyruWGVG2zbv6hXOaj8NtL1H4gWnj+W6cS20O024QbXYZCtnqMAnj2Hoc9HRW9fDUMSoqrG9mpL1WzM6dWpSbcXa6t8mc54w+G+l+MNf0vX7y6eNtNl3NGqgiZQQwUnt8wHPoSPcdHRRRSw1CjVnUhG0ptNvvZWX4BKrUnFRk9FsFFFFbkHkSeB2vf2ox4hOnPALSc6g0sSnbOxsDaKzE5/hbHGOYx6HPrtFFcOBwKwKqJSvzzlP05unyN69d13HS3KkvuI7u0tb+1lsL62jmgnjaOaGVAySIRgqwPBBBwQa4/4Ifs7fBD9m3wKnwz+Bfw00vw1oSXct0NN06EhDNIQXkJYkknAGSeigDgAV2lFdjhBzUmtV166hHE4mGHlQjNqEmm43fK3G9m1s2ruze13bcRVVFCIoAHQAUtFFUYH5v8A/Bzpr/xP0r9hjQNK8ISXieH9T8c28Pi1rZMo8SwyyW6SkdEM6I3oXRO+AfIP+CWvxrttc/Yj8LaB8av2sryz+zTXGn2fhXUfGtpbwnTYpPLggaB8SeWVBUAkEqABxiv1b+Lnwh+Gfx5+HmpfCf4w+DbLxB4c1eNE1LSb9CYpwrrIucEEEOqsCCCCoIq/4Q8C+DvAHhTTPA3gvw1Z6bpGjWENlpen2sIWO2t4kCRxqOwVVAH0r5TM+HcVmGYyxEMQ6acUtL39N1p19T9Phx7gI+GtHhp4ROrTryq+00s04tLpfm1s+nLGOvblv2cfDD+HPAU11KJQ+rapLfMsoxjcqIMDA4IjB59fTFd9RRX0OCwyweDp0E78iSv3sj81r1XWrSqNWu7hXnn7SWkvqfgyymTTPtBs9WSZGCktCxjkjDAD1EhXn+9XodFTmGEWPwVTD83LzK1+w8PW9hXjUtezMT4a+HF8H/DvQfCaNIRpmjW1qDLjcfLiVOcADPFbdFFdNOCpwUV0VjKT5pNhRRRViCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACvG/jt+3t+zF+zf8d/Af7OHxa8cz2Hir4jXAi8P20OlzzQx75kt4Xupo1KWqS3EiQRtKVEkrBBk17JX5nf8FVfgn8b/ABj+394d0zwJ8HvFGvWPxT8OeAtE0vxLo+kvPYeH7jQfHKa3fyX0y/LaJ9iYyRs+BI8RRctgUAfpjRRRQAV5d4A/bE+BvxM/ad8bfsh+ENZ1Cfxp8PtKstQ8TW0ukTxW0UN1nyvLndQkx4+YITtPBOQQPUa+LvA/xWju/wDgul438OL8LPiDFaSfA3R9Ai8U3PgS/j0OW/tr6/1CWNNRMf2dwILyAAhsGTfGPmQigD7RooooAZPPFawPc3EgWONCzsegAGSa8h/ZG/bs/Z2/bds/E9x8B9e1aafwfq0dhr+na94eutMu7dpYhNbzeTdRo5hmiYSRSAbXXkV69cTLb273DozCNCxVFySAM4AHU+1fEP8AwRu+J2oftD+Jvjp+1J8Rfhb4/wDCHjrx744tptV0Hxr4EvtGi0vRrSKWz0eyt5LqJFvXW2geeeWPIWW8K8ALkA+4aKKKAOZ+Mnxa8I/An4X618XfHY1BtJ0GyNzdxaRpc19dyjIVY4beBWkmkZmVVRFLMzAAVj/sx/tLfCX9r34J6P8AtAfBHWLq98O62bhLZr/T5bS4hmgnkt54JoJVV4pY5opI2RgCGQ1H+1f4r0PwX+zf4z17xR4Z8a6vpY0Ka31Oy+HFvPLrv2afEEstktsyzedGkjSqYT5q+XlMsAD4r/wRS8DePvhx/wAE6PBvhTx94O17QTHq+vT6Bp3iyy+z6wNHm1i8m0+TUEIDC8e1eGSUuN5dyX+YtQB9WUUUUAecfta/tX/BP9iP4Aa9+0x+0N4kl0rwn4cWA6jdW9o9xKWmnjgiSOJAWkdpJEUKBnnPQV6FZXcGoWcN/bEmOeJZIyRglWGR+hr8/wD/AIOMfgx+1J8bP2MBov7PnwJ/4WJpWl2mtX/ijQLbWBbXaSf2VPb2V1BCIpXvnhkuJJltUUNJJHFhlK8/c3wquvFF98L/AA3e+N/DSaLrU2g2b6vo8V6LlbG6MKGWATBVEoR9y7wq7tucDOKAN+iiigDx34mftwfB34WftQ+GP2Q9Y8P+M9R8X+KtNg1C1bw94Mvb+wsLWa4lt45r26hRo7OMyQyDdKVHy9a9ir4B/wCCh3hLxj/w8t+BPjj9nzwp8aYfiPLrnh+w1XXPDsE48GXHg+PULyXV7fVJE/cmVIZZGRJvm3yQGLJ34+/qACiiigDybwX+2v8AAH4hftR+Jf2QPCGuane+MPCNis+vPFoNz/ZtvIUhka0+3bPs7XSxXEEjQB96pKrEdces1+Yv7DPwY/al+D//AAWt+LsUtj8Trfwjr/iTxb4g8Vy6qZ/+EQvLC9XRpNCksN37lr8SDUY5in7wJDtf5RHX6dUAFV9X1OHRdJutYuYZ5I7S3eaSO2haSRlVSxCIoJdjjhRyTwKsUUAeI/sb/t+fAz9uOXxdZfCHRfGml33ge/tbPxJpXjjwXeaJd2stxCZ4QYbtEc7o8P06Mp6MM+3V8w/8EuvBni7/AIQf4pftD/ETwtqeka38XPjX4h8QCx1qxktruHS7eddK0xJI5QHQGx063kUEDiXI4Ir6eoAK4n9o39oX4XfsqfBbXfj98ZtXuLLw54egjkvpbOxkup3aSVIYoooYgzyyySyRxoiglmdQOtdtXzJ/wWL8JeNPHP8AwTn+IXhfwP4L1nxBNcNpLanpfhuya41RtLTVrOTUJLGNQWN5HaLcSQlPnEsaFPmC0Aew/s2ftGfCz9rL4LaL8fPgxq11eeHtdWcWrX+ny2lxDLDPJbzwTQSqrwyxzRSRujAFWQiu6r5f/wCCN3hLxf4I/wCCefgvw74v8Fa74fEep67LomneK7JrfV/7Jl1m9l0+bUEcBxeS2jwSzGT940kjM/zFq+oKACvHf2xP28f2af2EPDmg+KP2kfGV1pVt4j1ZrDTFsNJnvZDsiaae4dIEZo7eCJWklmYBI0GWIyK9ir88f+DiH4CePPjF+z/4ZvvgunxBPjxk1/wt4ch8D+BRrsN/HrmlyWNxY32XX+z4Jl2D7ecrBsJIyy0AfoXb3EF3bpd2sySRSoHjkjYFXUjIII6gin1gfCrwtfeBvhf4b8E6pcrNc6PoFnY3EynIkkigSNmBPqVJrfoA/9k=", 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", "info": {"equation": "17+14*1=31", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 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+14*1=31", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "19e0de8daafbe322dba7720bdd3e567fcb2a909c40b585aa135a9f80c8fd5e8e"} +{"episode": 26760, "episode_seed": 3620976531, "split": "train", "timestamp": "2025-10-28T03:45:06.879773", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3620976531, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 6])", "action": "('move', [2, 8, 0, 6])", "reward": 0.0, "image": 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", "info": {"equation": "81/9=9", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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4ExZh80cbTC2jdl/hkKn5WavyJ/4Ig+Jfjr4d/wCCknw9i+BdtezNqOoC08XRWtoJU/sJmQ3jTbhhEVVVg+QQ6pjLEKf6F/2to45f2VPibFKgZW+H2tBlYZBH2Gbivln9jP8AZf8A2fP2dv2o/Ct38EPhLpPhubV/DOsLqU9grmS4VBZFVLSMx2gsTtBAzzjIFfB59hZS4lwkudrma+XK+nqfv3AvihlnDvhjmWQ1sCqlSpzWlpyy51b95fV8m8bXvovdtzH3PRRRX3h+AhRRXC/Gb4n2/hHTJPD+lzN/al1CNjKARChJBY574BwPfNcmOxuHy/Cyr1nZL8X0S82bUKFTEVVTgtWeVftc/HfTPD1jc3rRzXdnpMqW9pYWhXztS1CWRYYreLcwV3eR0jTJHLE5xzXcfsg/AK9+B/w1e+8bC1uPHHiq4GreONSt4FXfeOoxaoQzEwWyYgiG4jam7q7E+Tfs0/De4+Ofx2m+LfiKwf8A4RP4b6jLY+FoJguzUdeEbRXV7saPJS2SVraNg+PNNwcZRGr6wr5/h3B1q855piV+8q7LtHp/Xb1PQzGtCnFYWl8Md/NhRRRX1Z5IV+Xf/B0J40/aF8Pfs8+BfDXw/l1OD4f61q15H4/nsYf3Tzp9mawhnkHKox+0sFPys0S55VRX6iVzXxk8JfCjxz8KvEHhX46aZpF54Pu9KmHiOHXmRbMWgUtI8rOQI1ULv35GwqGBBAI8/NMJLH5fUoRnyuS3/H7ns/I+u4D4io8J8X4PNqtBV40p3cH1unG6/vRvzQ/vJH86/wDwRg+Lnjz4e/tRTeGdN+NN94K8J61pM0ni68tdYt7FZRBFKbUNLOCARNIAFXk7zxgEj9P/ABSv7Mnx41PRvD/xY/aJs/iQlnqSXGi+G/E3jq0v7Vr37scgtEKrPIASFDq4+dgBya+sv2QPhF+xd8L/AIdXll+xTongyPw1eao0l/ceDtQivYZrtUQEPMjybnVNnylvlBHAzzxP/BSn4TfDb4wfDzwJ8PPib4Ns9Z0TUPiNF9s065VgkuzStSkTJQqww6qeCOlfDYjhrF4PJ5zeKbjGLfKr8r69/wBD7/jnxCwXF3iAsxoYaWFXuw5kl7bS6c5JOPv2fLbnXuqKcjyH/gm1pmleA/24Pij8Nv2dNOgt/hYPDFtf+KLTSLaL+zNO8XtcCNoYZE+5K1ou6WBTiMogKphQfvCvmX/gnB8K/hz8Fk+Ivw7+FHg2x0HRLPxFYvb6bp8ZWNXfTbdnYkklmJOSzEnpzgCvpqvquGKbp5HRu27q+vS729EfnPGGZ0s1zydWmnZKMeaVuefLFLnna/vS3ertouaTXMyiiuJ/aU1T4oaH+zt481r4IWUlz4ztPBupzeEreK3WVpdTW1ka2UI3yuTKEAU8HODXuzlyQcrXsfP4Wg8ViYUU0nJpXbsld2u30S6vsea2f7PX/BNuL9seb4jWPhX4bj43faGvJo01OA6usxtgWnNn5mRIYTvMnl7iG35ySx98+x2f/PrH/wB+xX8ksfxZ+Nnh/wCNzfGX/hNtdtfH9tr7ahJrsk7rqCaiJCzSMzfN5m/IIPuCMcV+5vwz+Pum6h8NPDt98Qv2+dUt/EE+gWcmvQf8LJ05PKvWgQzrtVSFxIXGBwMYFfB4PjPBQ5+bDuN237qWvm9te5+7+LHhPmXB0MDUq5l9Z54ci527w5LaQTcv3fve7tbtqfogiJGu2NAoHQAYpa8K/Z4+I3iPx/4itdb0Hxedf0a7hJmv4Lxbi3dVBUOroSmdykfKeSG7jj3WvqsozSnm+FdeEHFXa18uv9dbo/C8XhZYSryNp6X0CiiivUOU/n4/4OQfGn7Quq/t93fgv4mS6nH4I0rSbST4c200Oy0kgktYTdzREcSOboSozH5gI0XoFz3/APwRK+PPiyx+A3iHwV8SP2qtS8H+HNE1aKPwfpieK7PTkzL5012VWUb3HmPGdx4BcgHqB+s/7Zfwj/Yk+K3gbS4v249J8Fy6FY6rnR7vxpqcVlHFdvG+UimeSM7mRWJQN8wjyQdgI7/4X+D/AIX+D/hxofhj4R6JpFr4WstLhj8PwaOqG1W02AxGIrkMhUghgTuznJzmvh63C+KrZrVxEMU4c2ul+bXo9VoumvRH9AZx4s5bmHhPg+G1llp0+WPtGl7O9PecNG/aT/5ebfFPV3PgjVfh1+xZ8adf1jxt8T/GXhj4maomgtBqmr+L/FFtqkmnaWvLBTuC2cIJLGVAhDMx3gmvcf8Agj1qnjS//ZFl0/WJNQm8K6V4y1TT/hZeanaLFLdeF4nRbFxgDfGP3qxuR80aIRldrHkf22P2Xv2e/wBoT9sBJPjX8JtK8RnR/h9pJ037ergQeZqGp78BGUMG8tMhsj5frX0D+w9b29n+yL8PbOzt44YYfDNvHDDEgVI0UYVVUcAAAAAcACufh3BVMLxHiISqOTgtW/tXs9dXsfA5tntGtwhSwl5zlOUXaduSkocySpe82+ZP3naCSVuWWjXqtFFFfoB+enxN+2Z4w8T2n/BRTwP4V+JXiG807wMnw/ku/AcM7LDp+o+KHupre6RpCR5tylk8IiiJJxPKVUksR4jaftCadZ/t5+MvBuhftZXXhvwnB4Js5vEEOn+KLGyto/EKziBYlkcFnkFrHiRATsZMMFOAf0Y+OPwC+DX7Svw/n+Fnx3+Hem+J9AuLiKeTTdTiLKJY23JIrAhkYcjcpBwzDoxBd8GvgP8ABz9nr4fWfwr+Cvw60zw54fsXke20zToMIruxZ3JOWZiSSWYk9OeBXxuN4YxmKzaeKhiHBNdL8y8lqtPn5W6n39PifIoZHGlLDOVdQ9na0fZ2vf2t/i9o9Vy8vxPn57e4fInhDx18LvF/jK2ltf2kU8b63FaTw6ZBf+MbW/mt4nKPOIY4sEBvJjLHB4iHTBz9Vfs2/D9/h38N3sJRcLLqWs32qTR3IAaN7idpSuMDAG7gHn1ru0traNt0duin1CAU+u3KeH55bjZYqpXdSTVtV6dbu+ysfJ4vMViaCpRgopO+n/DIKKKK+lPMCiiigDB+KWiR+Jvhtr3hqfSY7+LUdIuLW4sZc7Z4pI2R0OCDyrMOOea8d+A3w4l1H4s6f47uIbqEeHtNvbSNSm1Ga48gMrZGdyiEcAjGeeor6Aorx8ZlEcZmVHFubXs+lt/n089/kdlHGOjhp0VH4uoUUUV7BxhXGfEL4M6T491mHW31WW0lVVjuPLjDeagJ6Z6NzjPI9jXZ0Vy4zBYXH0fZYiPNHe3p6GtGtVoT56bsyvpOmWmi6Zb6RYR7YbaFY419gMVYoorojGMIqMVZIzbbd2FFFFUIK/Lv/g6E8a/tDeHf2efAvhv4fTapB4A1rVr2Px/PYw/unnT7M1hBPIOVRj9pYKflZo1zyqiv1ErE+JHw28B/GDwJqvwx+J/hSy1zQNbs2tdV0rUIQ8VxE3UEdiDghhgqQCCCAa4M0wc8wwFTDxlyuS3/AB+57PyPreBeJMPwjxdhM4r0FWhRldwdtbpq6vpzRvzQfSSR/On/AMEYfjd8Tfh/+0jJ4B07486p4L8EavYXF34ra216CxgeSGBxbOXnyofzXRfl+ZgcHKg4/VbSviT8JvFfiTS7bUP2sh4vvIL3zNG0rVPHdndgXbRvEHjij2s0uySRB14kbjOMfWP7P/7Kv7O37K/ha78F/s+fCPSPC2m316bu9t9OhOZ5toXe7uWZsKoABOB2xk13i2lqrBltowR0IQV8lS4PxywvspYxpdYpNx/9KX5H1niT4i5bxrxXPNcLglSjyxir255cv2p2TXNrbd2ioq+h5f8Asu/D9/Ctl4h8XzC4WTxLqUFwY5gAoWK2igUoMA4ITOTnOcjivVKKK+wy/BxwGChh078qtfuflmIrPEVpVGrXCiiiuwxPJbf9hH9j60/aBf8Aantv2fPDifECS6a6fxKLU+d9oaPy2m258sSFc5cLuJJbO4k16t9js/8An1j/AO/YqSis6dKlSvyRSu7uytd935nXi8wx+PcHiqsqnJFRjzScuWK2irt2iuiWiEREjXbGgUDoAMUtFFaHIFFFFAH8/H/ByD41/aF1X9vq78FfEybU4/BGlaTZyfDm2mh2WkkElrCbueLHEjm681GY/MBGi/dC59G/4IsftF+PZvgTrvg74tftdaz4X8PeHr+3tPBWnSeMbWxVI2EslykazAuyKzRY/hXcQvcD9fv2iP2T/wBnL9rLw/YeF/2jPhFpPiyy0u8N1p0epRtutpSpRijoVZQQeVBw2FJBKjHU+Bfhz4E+GXg3TPh58P8AwlYaRomjWSWml6ZY26pFbQoMKij+vUnJOSa+Jr8K42rmdXEwxLgpa3V+bXputF017aH73m/i/k+ZeFmE4XjlyVWlyJy93kXJ9uGjftKn220vinq7nx78NfFXw98XeKrq98KfGtPHWvy2sMc88niWDUrtLaORzHGBDysYkmcj5fvSnnkCvrD4F+AY/hd8HvDnw+ilmcaTpUUG64ILnAz82ABnn0rqY7eCI7ooEU+qqBT69TJshllWIqV51nUlNJXa/PV3PxXGY9YqnGEYKKX9dkFFFFfRHnBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAfOn7aX/AAVR/Y2/YI8U6X4F+P8A401f+3dU0mfVl0bwz4ZvNWubTTITibULlLWNzb2yHIMr4Xg+hr3D4a/EnwH8Y/h9ovxW+F3iqz1zw54i0yHUNE1jT5d8N5bSoHjkQ+hUjryOhANfl1/wUl8MfGX9mX/gqR8Rf2s7n9mfx/8AEbwd8Wv2SNQ+HXhqbwB4Wm1iSy1/7SZEtLqOEE28EowfOb5AWOehr7G/4I2/s7fFP9lD/gmJ8G/gD8bLFrPxVoHhFF1rT3lDtZSyyyT/AGclSQW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"info": {"equation": "81/9=9", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "a507e265a66614d3f23b0b3ad9d41281f1ba6cf7d7ecf80fe87024472b103c73"} +{"episode": 26761, "episode_seed": 35956684, "split": "train", "timestamp": "2025-10-28T03:45:06.938430", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 35956684, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 3, 1])", "action": "('move', [5, 6, 3, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "12+8*0=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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", "info": {"equation": "12+8*0=12", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "97a2f23bd52b5cbab2a138969d22d252b8fe8cb73c85b452ccb97e79c16d93f9"} +{"episode": 26762, "episode_seed": 4017815730, "split": "train", "timestamp": "2025-10-28T03:45:06.991016", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4017815730, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [7, 4, 0, 4])", "action": "('move', [7, 4, 0, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "65-16=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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9mbQPC3hjSYLDTdNvNUtbCxtYwkdvDHqV0iRqB0AUAD6V5GUZfWwPEk4VKzqNU73fW7Ss9XsfNYnOaNXhH6qua8qitF25IKKb5o6355NtP3YpK+snL3fWK8O/4KVeJvjF4N/YN+Kfif4BPfJ4ssvCc8mmS6ZFvuYVyomkiHXesJlYEfMCoI5Ar3GggMCrAEEcg19nXputRlTTtdNXW6ut/kfL5XjI5dmdDFypqoqc4ycZbS5ZJ8r8naz8mfza/wDBF34u+NfAP7Ul14dt/jnqXgvwvrWi3Evii6ttehsY52hRjbF5JsqWEsmBj5iHbsWr9lfgL8X28S67DoPw7/aGuPHFxFfRzTRP4ng1F4VbC4fyMbYyFP3h/eINe4/Av9kz9m39mb+2/wDhQnwb0Twt/wAJHfC71v8Asu22/apRu2k5Jwq732oMKu44Aya9BjggiOYoUUnrtUCvi8JwljqNOMXi5JJ35Y3tvfTVflufpfiZ4iZbxxxRPM8Lg/ZxcIx963M7L4pWTV9eVav3Yx9E+iiivuT8mCszxpPr9r4O1a68KQ+ZqkemTtpse0HfcCNjGMHg5bHB4rTopNXVioS5JqVr26PZn81f/BMXxz+0vf8A/BXfwJ4pEusXfjfVfiFInjdru133LW8sjrqpnVx8m2EzluBs28YKgV/SpXxH8FvgJ8GvDH7c0Xxx0D4c6dbeLtc+Jfie31XxAiMbi4iEeqjaSSQo/dx52gZ2jOa+3K+U4RoOhhK0XJu1SS18ra/PqfrPi/xzguO85wmKw2F9gqdCEWtLt3btp9mN7Q621sr2RX4K/wDBzf4n+Ml/+23onhLxhLfr4OsPCME3g6CSPbatJKx+2SIRw8hkRFYn5gEjHAxn96q+Vf8Agox8Bvg58evHHgLSfjL8O9P8R2ul6Nrt5p9vqKsUhnEumLvAVhngkYOQe4rfi2k6mR1GnblafrqlZ/ff5HD4RcX4TgnjWlmWJoe1jyzjZW5o8y+KN9L6Weq92Uj5P/Y9+MOhfEj9iLwdof7Rf7Zd9Fcan4Xaz13w7d/EKzs42st0kUdu8abXjRrYRqRuDEMckEmvev2E9A8H/Df9t/W/h3+ztpdnp3gy4+F8WoeNdH8PW8Q0y11UXUEelzHZxFczWf2vIGDJHBE7Z4Y+73Om6dcf8E+ZLeawhZH+DZVkMYwQdJxiuA/4Jx/Av4P/AAA8T+NvCXwX+H2n+HNOutG0O7ubXT1bEs7SakpkZnLMx2qo5PAHFeHh8qxGBz7Ce0rynzKT1voktt3o7mNbifDYrBZnVVN01Wk7Uo29kued7vVa09ORKO6T5ly2f1RRRRX6CfnB4/qnwb/YkvP2vbL4p6v4e8EN8ak0fNjPNfQjWTZiN4vNW3L7mUR+Ynm7CQoK7sDA9cW1tUYMltGCOhCCv5i/2kfjH+1ToP8AwVC8U/E7xB4v1rRviTp3xFngtb95Ft57JFlMEEabvkSIW5RFB+QxnnKkk/s54J+OnhM+Jo7DQf2zrrxDd3ga3t9JuPHtndeczf3I4wHL8cbTnrXwsOMsHQlVjKg0+Z7W185bWffc/aPEXw0zDhahlk6uPWIVaimrtvktZ8sNX+7973Hpf3tEfblFYvw8udbvPBOm3XiIP9se3BmMgwx5OCwPQkYJ962q+1oVVXoRqJW5knZ7q6vqfjVSHs5uPZ2PJf28vEHxc8K/sZfE3xJ8Bxef8JfZeDL6bQW06HzLhJxETuiXu6jcVwCcgYBOBX8/n/BHn4o+MPBH7Zlubb4x3vhHSNa0e9j8V6xDrMNmZYViaWNXmnBAzcLD0+Yn2Jr+l2vOvgp+yT+zX+zlrHiHX/gd8GdE8NXniu8F14gn0222m8kDOwzkkKoaRyEXCjccAV8/neRYjNcXSq063JyX73XmrNa9HqtD9X4K8Rsu4W4JzbJK+DVWeLSUZaWWlvfvraHx07J2nfa9z4T+NXhH9i/4xeD/ABb47+MPxU0nx7d6d4Tkin8Q614ottTvNEtFZnjNrtOLdvPKlSqhpJCqEsCFr7x/ZP1f4na/+y/8O9c+NcFzF4wvPBOmTeKI722EMy37WsZnEkYACP5hbKgDByK+Zf8AgpH+z/8ABT4sfFa48U/En4aaZrWoeF/hpJdaBcXsbH7FN51029VBCsd0aH5gR8o4r7VsSWsoWYkkxLkn6Vw8N4Opg81xlOdRzceRNvrdN3er1W258znecUsXw5hMMuZtSlL3rWppe6oU9W7S0c9I6qKUfdu5a/Or/g5h8T/GLQP2D9M074ezX8Xh7VfGNvbeN5bKPKm08t3hSZhysbXCxexYIp6gH9Fa5j40eFfhN42+E/iDwt8d7DSLnwdeaXKviSPXpVjsxaBdztK7kCNVA3b8jbtDAgjNfS5lhZY3AVKEZcrkmr/107+Rx8FZ5S4a4swWaVaPto0akZOHV+n95bx/vJH4kf8ABDP4za14d+Fvjbwb4y/acv8AwV4cs9YtZ9BsIfFNppyS3Mscn2pwJQWc7Y7bJ+6O3JNfU+reDPgb4Y+JHw1+L37Od9pusfEvU/jFY/Y/FOmXsOp6prQuZ0TWluJwWMsS6c9w8n8MCohUR55+/P2c/h9+zv8AD/4N6N4Y/Zh0jw7D4HhSV9EHhq4juLNw0rtI6SozCTMhfLbic554r5b8AfAP4M6J+3hH8etJ+HGmweMtR+KWrWl74hVGNxJALK9XZy21RtjQEqASF5PJz8FichxOAeE58S5J1IJJXtG/WOv3aI/Qc248wec8ZZlm0KEqEZqT9mkv3lko8tZXSSnrKppPVuKWvMvt+iiiv0s/Fj4c+NfjyOw/bY+LVl8bfGcmmabpXgzSH8KQanPHb2segtbu19dwFiBITe+YkznO3ybdTgFd3lH7MXx28O+Mf2ZPCZ+Mv7bF/LdahoITV9F1fx3YW6zWzFlSGaABSgaDYGTgjcQcHNfe/wAdP2Tv2b/2mb/QNT+Pfwd0XxVceF7xrrQZdVty5tJGKFsYI3KxjQlGyrbBkHFd+bO0JybWMn/cFfGV+F8ZWx9avHFOCm76Xv6PVaLZb6H2+M4jyirlVGlSw3721NTbUUo+zhyLkau37T46l1H3kvi3PKf2XfCIsTrnj3dKRrS2kEe7HlskAlIdOOcmcjOSPlGOhr1qgAAYAor6XLcEsuwMMMpX5VvtfW58fia7xNeVRq1wr+X7xX8aP2q9B/4KZan8UfFXjbW9B+Jq/ESW21LUnmW1uLMtMbZ4sv8AJHEsB8sA/uxGAPu1/UDXnifsnfs3x/tASftUp8HNFHxDlsvskniv7OftTReWIsZzt3eWBHvxu2fLnHFedn2T183jSVOpyckr9fvVuq6er1P1Dwu8RMu4BWYrFYNV/rNFwjto9fdlf/l3O/v2u/djoz5a0L4k/DHxX4rsdPj/AGr38ZXcdy76RpGoeOLS9/fGN08yOKPDNII3kXvhXbjuPrn4EeDm8B/CvTPDr+cG33N06zgB1a4uJLgqQAMYMpAHUAc811a2tqjBktowR0IQVJUZTkVTLcXLEVa7qSkuXVdL33bZ+c4vHxxNFU4wUUnfT/hkFFFFfRHnBRRRQAUUUUAFFFFAHhPgr4btN+0OuqnSpLNdG1zUNVZYVIjeS4iuYyzFgchzcu/BGT04BFe7UUV5uV5cstozgpc3NJyu/M6cViXiZqVrWSX3BXxT8dPHdzpv7eHjey+L/i5tN0jSfh5pk/gyDU7hLeyGnO0z6pdRsxAdxNFAszHlEjhztUgt9rV578fv2Uf2cv2prTR7H9oX4QaN4si0C9N3o6atAX+zSsAGK4IyrBV3Icq21cg4FY57ltXNcveHpz5XdPyduj/rex6/DmY5fl2Mn9di3TnFxbik5x96MlKKk0r+7yvVe7KWvR/AP7LXx18L+L/2Z/D8XxT/AG2dSAu7K5t5dH1TxzYWgk00XE0dtFNbhQYw1oIQycNhjnBzX3B+yt4Whgn1v4g2zu0Or2dja2zKQYnigNw6uhA+YH7SRnJBwMdDn1tbCxRQiWcQCjAAjGAKlAAGAMAdhXnZfw5WweOhiauJlU5E0k13Vusn/Vic1zmhmFWs6NBUo1JOVltFN3SVkttl5BRRRX1J4J53f/smfs3an+0Bb/tUah8HNFm+IVrZ/ZbfxU9uTcpF5bReu0t5bMm8jdtO3OABXoC2tqjBktowR0IQVJRUQp06d+VJXd3bq+78zpxGMxeLUFXqSnyRUY8zb5YraKvtFXdktEFFFFWcwUUUUAeGftSfDv8A4TfxOmmLpMgbXNCbSWvrZSZCjtJlMnKjb5jMOO5JyBXuMEQhgSEHIRAvPsKdRXm4PLo4TGV8RzXdVp27WVvmdNbEutRp07W5b/O4V+dX/BzD4o+MXh/9hDTNO+Hs1/F4e1Xxhb23jeWyj+U2nlu8MczDlY2uFi9iwRT1AP6K1h/En4beA/jD4D1X4YfE/wALWmt6Brdm1rqulX0e6K4ibqpHUc4IIwQQCCCAa1zHCyx2BqUIy5XJWv8A107+R73BmfUOF+KsHm1al7WFGak46apdr6cy3j/eSPxB/wCCHXxz8T6P8KPGHgbx5+1Pqvg7wzpWp2z+GNNXxba6fF50wma7MazAsRkQkgfKCxI5Zq/TH9mHQ/CPxA8X6H4j8GeN/wDhIrTR9YudRutbttUivftN00E8T+dMmVLn7QSQMHgdq9/+D/wP+EnwB+Hth8Kfg34A07w/4d0zzPsOlWEOI4i7tI5+Ykks7MSSSSTXURxxxLtijVR6KMV8xg+FMRRqUZ1cU5Km1Lls7XXRXen3bHt8dcaYTivibG5nhsKqUa70Wl7WUbysvilbmlq/eb1e46iiivtD89CiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArkPj58d/hX+zF8G/EPx9+NviqLRPCvhbTmvdZ1KVGfyowQAFVQWd2YqiooJZmUAEmuvr5N/4Le/BX4n/AB5/4Js+OPB3we8JXniHXNP1PQtei8O6dHvuNUg03WLO+ntok/jkaG3k2p1Zgqjk0Aeyfsl/tefA/wDbX+FB+MPwG129utNg1a50vU7LVtKmsL7TL+3YLNa3VtOqyQSrlSUYA4dT0Ir06vi7/gjb4W8f6hB+0F+0v4r+GviTwfo/xj+Peo+JvBugeLtIk0/URpgsbK0S5ntZMPbvLJbSNscBtoUnqK+0aACiiigDxv8AbK/bx/Zz/YN8L6B4t/aJ1/U7K18S67FpOkrpWh3F873EjKoLiFGEUYLoC7kLl1HJIFeyV8Mf8HCPizUrX/gn/c/DXw18LPHXivWvE/i/QW02x8EeC73WHjWy1eyvZ3mFrG5hXyYJCrNgMwCjk19lfDH4gaV8V/hzofxN0LStWsLLxBpUGoWllr2lS2N7BHLGHVJ7eYLJBKAcNG4DKQQQCKAN2iiigArwL4lf8FL/ANk34RftWaF+xz8QvFOtad4s8Rajbabpt7N4Wvf7IbUbmEzW9g2o+V9mF1JGAyxb92CM4zXvtfnH+3d8a7/41f8ABVz4Q/so/FP4K/FK3+Ffww8SaT4uXxD4e+GWp6lY+JvF0h2abC97BC0NpY2QnM88rtzJhG2rGzUAfo5RRRQAUUUUAeBfs7f8FLP2Vf2oPj94i/Zm+GOu+IYvF3hzTH1N7HxD4RvtMTUtPS5Nq17ZSXMSLd24mGzzY8qSRjI5r32vzV/YO0rxT8QP+C0nxE/aT+GPwU+NOgeCtY+FE1h8QLv416Pcw/YvEQ1cSwWGjPdFitoIjO7R2zG2zsK9q/SqgAooooAjurq2sbWS9vbhIoYYy8ssjAKigZLEnoAOc15T+xj+21+z3+338IZ/jp+zN4oudZ8Mwa/eaONQudPktvNuLZlWQosgBZPmBVxwQaxP+Cl/w/8A2hfix+w78QPhd+y5okOpeMPEemRabb6fNriaYbmymuYo7+JLt1ZbeRrNrlUkKttZlO0kYr56/wCDfLwV8e/ht+z98XPA/wAbf2V3+FEEPx/8UXXh7Q21Q3KfZ5rrLRQEwReZbQlVjiuVBS4QCRQo4oA++qKKKACvGv2xP26fgr+xDpvhe9+LukeL9TufGWtS6V4c0jwR4Qu9bvry5jtpLl1W3tEeQhYYpHJA4Ck9q9lr4d/4LkeCPhp4n+DPhXxF458E/tAX+seHrzVbzwLrH7PlrdvqOl62+nS28DTvZ/v4o5BM6Bh+7PzCQhTggH2Z4B8Zad8RPA2jfEDSNO1KztNc0q3v7a01jTpLO7hjmjWRUnglAkhlAYBo3AZWBBAINa1eSfsEp+0JH+xR8KU/awa4PxKHgLS/+E3N4VM/9pfZk87zdvy+buzvxxv3V63QAUUUUAeI/Gz/AIKGfsxfAL9obwz+y3468R6xP4z8TwQXMenaF4avNRTS7We4+zQXV/LbxuljBJPmNZJSqlgecDNe3V+PP/BRH4BftkeC/wDgsbqnxq/Z/wBK+MK658QB8O0+HGr+Bxc/8Iz5VhqLxa7ba+0f7lYksnllRJ/lP2himX6fsNQAUUUUAFfNfwL/AOCqn7NHx+/aeb9kHw54W+JOh+NzpN7qdvZeNPhtqWjw3VnaSrFNPFLdRIske91AZcglhg819KV8efsm+AvHPxV/4Km/tE/tf/EHwZq+maX4Z03R/hd8M5dY06W3+1WNtH/aOqXUHmKPMhlvblEWVMq/2U4JxQB9h0UUUAf/2Q==", 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", 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", "info": {"equation": "65-16=49", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "1bb36b4395dc5a781b718e4083d7b2edd97cc7057357e03ef30bc7ba9a4c4623"} +{"episode": 26763, "episode_seed": 2156736046, "split": "train", "timestamp": "2025-10-28T03:45:07.038201", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2156736046, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 1, 7, 0])", "action": "('move', [4, 1, 7, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "102/6=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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", "info": {"equation": "102/6=17", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "98fcf4da9394c9fb49c94b21ba3138e697c24648d8377e4637d041c1a1060f55"} +{"episode": 26764, "episode_seed": 1167248995, "split": "train", "timestamp": "2025-10-28T03:45:07.093764", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1167248995, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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": "5+15*4=65", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "5+15*4=65", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "cad8aa3f1f0d4410f5d905581bfc430f6b56bbae7547c12a9e6a3708a3758a2f"} +{"episode": 26765, "episode_seed": 1514341091, "split": "train", "timestamp": "2025-10-28T03:45:07.141655", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1514341091, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 5, 1, 7])", "action": "('move', [2, 5, 1, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "5+3*7=26", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "5+3*7=26", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "fe7dc46cc964ad3769509af579c300525033d6824956f3b490f3c25cde9c8417"} +{"episode": 26766, "episode_seed": 305556413, "split": "train", "timestamp": "2025-10-28T03:45:07.178924", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 305556413, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 8, 3, 0])", "action": "('move', [2, 8, 3, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "28/7=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": "28/7=4", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "a459a2cc34a6e6d3e705eeb60d22c2663c45069bd4e5061321f6604c27da4c04"} +{"episode": 26767, "episode_seed": 2769065684, "split": "train", "timestamp": "2025-10-28T03:45:07.233973", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2769065684, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [5, 4, 4, 8])", "action": "('move', [5, 4, 4, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "19+2*5=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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sfhZ8KvDOjSXqeCb/AFrUJdf8mP8AcSajHHD9jSRh38t7tlU8Hax6qMfrJXgv/BQv4WfDv40fCjw98O/ip4Stdc0O+8aW5u9NvCwjlKWt26klCDwyg8HtXjcRU3VySuk7e7f7tbfO1j7Tw34iw3CfG+CzWvS9rCnJ3jpf3ouN1fTmjfmje2qWq3POP+CD2r/EvWP+CYPw7k+JkNwr26XlvobXMAjZ9MS5kW2IAxldgwrHqoU8jBP2DXmf7HOjaV4d/Zp8KeHtB06GzsbCyltrK0t0CxwQxzyKiKB0VVAAHoK9MrsyyPJl1GN72jH8keHxNmVPOeI8Zj4U1TjVqzmoraKlJu3yufkb/wAHVPiP4sWvg/4T+FtPlvU8EXl/qM+qiKP/AEeXU40iFsJGH8Qie4KqeoLkZxxT/wCCeXxQ8N+PP+Cf/hbwL+0R+1ld2lrPpdzpV14TvPHdpYwPpKSvDDbPECsixNAoQgsCyHk81+m37Vnw7/Zc+JvweuvDv7YVh4Yn8FJeQT3LeLb9LW0iuFfET+c7oI33NtBDAncV5DEFfjz4V8HQfspeMvDGj6HYpoyfD7ULS1s7aJRALUWMiLGgXgJswABxjpXzeZ8P4nFZhWxMMS4JxWivfRWs9Vpp+eh+hT8QcJPw3y7h5YPlqUK0p+2011b9178/vrm1VlGGuvu+C/8ABOPw54W8BftA/FvwJ8GNEstO8ERafoV5d2GjWcUdhba/IlylysZjGBI1pFp7yRj7uUbA38/YNfOn/BO/4QfDD4GeHfGXw9+EPgmy8P6LDr9vPHp9grbPNksoS7ksSzMcDkk8ADoAK+i69XhmDhkdBXvpf723+B8HxXjqeYZ7VrU7tWjG8vilywjHmlZu0pWu1eVr25pbv46/4LzeJPix4Y/4Jk+PLv4Sy3sUlw9na+IJtPjzImlSzqlzkjlUZSEcj+B2zwSa/Mr/AIIleNviFqvgH4r+BtY8S3c3hnRfB15caJp8s4MVlczgfaXjHVN4igJ/hymeu7P72eKPDHh7xr4a1Dwd4t0e31HStWspbPUrC7jDxXMEqFJI3U9VZWII9DXyd+0D8CvhD+zj4S074UfA7wDYeG/D1l4C8SS22l6chCK8ktq7uSxLMxY9SSeg6ACvC4tyurUTxyqWjGKTj395fhrf1S+X3fDfHeBwfh3iOFZYVOrWrKoqumiSi358y5OVW05Zy1VrS9U/ZC8d6l470kanZeOn8S6OdLiWLWP7QW6SaVMJkSp8jMdrbsdxyM5r2uq+kokel26xoFHkJwBjsKsV9VleCnl+DVGdRzd27vfV37v8z8qxVeOIrOajyrsjmfjTfeN9L+DnizU/hnbPN4kt/DN/L4fhjhEjPfLbuYFCtwxMgQYPB6V/O3/wSO+M/wATvDP7bt7J4g+Ous+ErTxLZahL481R9djsnupVWSVDPJccGT7Sy9t+XYdGav6Sq+Ov2Hvgb8Ifh3+0zrnjrwT8PNO03WfFmm+IbrxJqMMbGW/mGsW5DOWJxy7HC4GW6V4HEmDq4vHYSMKjg25K66aXutV2sfp/AnG+B4a4RzrLK+FVWWKhFRk7aWbXvX6Lm5o22ml3upfgJH4N+LPjW0bwt8XZPGk9vrtje6pqy6/BqM8YtpVmijkeL5UT92QAQCdzYOTx9gU2OGGHPlRKueu1cU6vXybKpZVSnGVV1HJ3bfol3f5n5pjMWsXOLUeVJWsFc98VbfSrj4faoustthW2LKwUEq4+4QD33Yroa8T/AGwPio3hjwncaPo1hLfXdpEJzZRDm5nbC29uDgnLyMo6cZBqs8xVPCZXUlJX5lypd3LRL+ugsDSlWxUUtLO7fZI87/ZR8Q+FvGn7XGu2+owubrwv4aa18OvJFGYpZnlibUnjbeW3xh7CI/Iu3e4ydxA+sK+Trz4Ha3+zje/D7VNCulutV0G6S/1O6d0H9oyXG5dWXeYgB5pmklUAL86xZKgZH1hHIkqLLGwZWAKsDkEV5/C79hg5YKatUpOzXe+qfz/Q6c0XPWVeLvGa0+W6Fr8NP+DpHxH8WJ/2qPAfhPW5L1fBUHgo3Xh+Jo8Wz373Mq3jKf45Ai2gOeVBXpu5/cuvK/2o/hR+x/8AFGy8Lxftc6J4Pu4LHxHE/hP/AIS29igU6kwOyOEyOvmu4H+q+YPtGVOBjvz3L55nl0qEZ8rbTu9tH1/rex9j4V8XYfgjjOjmlbDOvGMZx5YpOS5otXjfqtn/AHXI+EPgB4+8BfHf9lzwF4Z/aa/ajbxJeatoemy674M13xvZm2u7pSjxQTWibS4DrGfJPBZQGU8ivqP/AIJiRxaT4d+JfgvwYu3wHoXxEltvBUEEai0tQ1nbS31valeDCl9JdDA4RzIgxt2j0P8Abi8CeDviB+zNr3grxp4cttR0rVb7SrbUbGdSEnifU7UMhKkHBHoQao/sDeA/Bvww+BMvw++Hvhy20jRNJ8S6hBp2m2akRwR+bnAySTkkkkkkkkkkmvn8tyyvl/EcYVK8qj9m3d9ua1t3p19Tmx/EGHxuQ4pRg4e2q3VNW9lC7UueOvx6ezXur3G/ed7Htdcj8ePCPwX8d/CDX/Cn7RNlotx4Ju7EjxFH4huFishArB90sjsoQKyqwbI2lQQQQK66vzj/AODm3xJ8WNF/YW0TS/A8t7H4e1TxrbweMntEyjQLFJJAkzDlYzOiH0LqgPOAfqczxUcHl9StKPMop6d/Xy7+R5vA+R1eJOLsFltKt7GVWpFKezjbW8dve093Ve9bVH3n8HPB3wf8H/Crw/4Z+B2laND4Ps9KhTw4miOktobTbmNonUkSKwO7fk7s7sknNdQqqoCqoAHQAV+Lf/BGr486xD+yK3h74n/tf6r4XtdG8SXFp4X0dvGtpYrFY7I5DtjlBcr58k2CeOoHAr9Wv2afFmseM/Dl3r1xrp1TTrlo5dO1ETiVJw6klo3HyshG0grxzxXh5VxPhcxxFPDQpSi2vLlVlfTy6LRdDr414WxPDXEGNwlWuqrpVJLnu7y13d/ta+8ruzvq9z0uvD/+ClfiP4seEf2Cvit4k+Bz3qeJ7PwddPp0umx7riJcATSRjqHWEyMCOQVyOQK9wqj4mLDw3qBXqLGXH/fBr6WvTdWhKCdrpq/a63PmcrxkcuzOhi5QU1TnGTi9pcsk+V+TtZ+R/Pj/AMEMvjB4m8GfEjxn4M1T9obUfBHhG40RL64SDxJb6fFPqKzRxxHMwOW8ozZC9Qo3fdWv14/ZWsPCnj/x1pfi3wj8QD4oh0nUbm9vddi1aK+NxctayW5E00eVLBJl+UYICr2Bzmf8ExfgX8HvgkNf0X4TfDvTdCtdT8LeH7/UIrKNj9ouX+2hpGLkknAAxnA7AV9axxRxDbFGqj0UYr4Lh/Ia2Jw2HxcsRLli+ZQ6Xi3trb8Op+jeKHG+D4s4txWPw2G9nGoox1tzO0Eryto2/XZLsOooor9CPyo/mn/Z8+Lnx/0v/grX/wAJt8T/AIi6t4Y8W6h49vrTxxq893FZT2kLSOl1GzyjZCqxqUA6KFUL0Wv0e/aI0b9lf4o/Dfxf8R/GXxesvHfiLQ/CUv8AZGvX/iW21XUNFdGMlqbJUOIZWu/K27V3SybIzuBCH7k8IfCP9jvSP2pPFHxJ8FeH/ByfFy/0mJPFs9ldxNq32MrDsaeEOWjRgkHzlV3YTJPFeGf8FEfgb8IPiV8XNL8X+Pfh7p2q6n4U8HPeeHbu7jYmwnN0T5iAEKTlEI3A4KgjFfmOZcO4nA4CpVeJbjzfCr2d5JXevxdXpv1P33iPxLwHE/FWAxlPCywqo0IRfIkpPlTlyx1ivZvSMW27R97lfwn1T8JbzxjqPwq8M6h8RbZofEE/h+yk12FowhjvGgQzKVHCkSFhgcCugoor9NiuWKR+DVqiq1ZTSSu27LZX6LyQV59+0jpA1PwRaXB0wXBsdVjuFfaSYDskTeMezleeMMa9Borlx+E+vYKph+bl5k1fsVh6vsK0alr2dzl/gt4SPgf4W6N4ZYy7oLYuwnxvDSO0hBwBjBcjHtXUUUVtQpKhRjTX2Ul9ysZzk5zcu5+Rv/B1R4j+LFr4O+E/hXT5b1PBF7f6jPqoiT/R5dTjSIWwkYfxCJ7gqp65cjOOJP8AgnF8d08U/sQ+ENP+Pn7Y1/bXH2K40+Tw7qXjqzt4zpkcrwwQPC3z+WYFVcEhivfkGv09+Ov7PvwX/aa8ASfC749fDvT/ABPoEt1FctpupIxQTRklJFKkMrDJGQRwxHQkV0mjeGvD3h7R7Tw/oWiWtpY2FtHb2VpbwKkcESKFRFUDAVVAAA6AV8tj+G8XjMyqYmGJdNSSVle+itbdadfmz9UxPiHl1fw0wPDKwS9rQqzm6mlmnzNW0b5nzWlfS0I77R89/Zg8LjStA1fxQGk/4nmoRzLuxsKxwRxBk45B29efavT6AABgCivosvwawGCp4dO/KrX7n5fiKzxFeVS1rhXjX7VXgV/G11punDS3Y32nXemLeQKTIi3GwOg6gfcVhkfwnsDXstFZ5pgFmeClh3LlTtr6NP8AQrC4h4WuqiV7X/IZbQi3t47dSSEQKCfYYp9FFegc5y/xuv8AxzpXwX8X6p8MLZ5vEtt4X1CXw7DFCJGkvltpDAoVuGJkCDB4PSvzes/jf4W8N3PwBsfCn7TN9oEWr+Gr9/EGpr4gtba5urP7CjSS3Us2THKdRjhVhwTL5ykfIwX9Sa4H4Wfst/s8/BLxl4p+IXwo+EejaFrXja++2eKdRsbbEmoz75H3vkkD55ZGwuAS5OM187neS4jNa9GdOs6fJfa99eq1WvTfY+ryLO8sy7LcRRxNHnnK7hpGzbjKFpt6pR5ueFk/eVmlfmj5D+y78U38YeJ7XSfBPxzn8cW9tdn+0Z38Qw6gYEdc7ZGh4UfJldwznODya+nKbHDDDnyolXPXauKdXblGW1ctoyhUrOo273folbd9u58/i8TDEzUowUbK2n9IK5i9+F2k3vxEh+IUl2/mRIN1tsG1pAu1Xz14Hb1A+h6eiu3EYXD4pRVWN+VqS8mtmYU6tSk24O11b5M5r4jfDTTviNBaRXt/JbtaTFg8aBiyNjcvPTOBz29DXRQQxW0CW8K7UjQKijsAMCn0U4YXD0q860Y2lO133tsEqtSVNQb0W3zCvw2/4OjPFHxdH7VngHwzqd1fxeDbXwZ9s8OKFKwNqLXMq3bqw+9IqJaA91BXGN3P7k1wnxx/Zj+AP7S1votp8efhTpHimPw7qi6joqarAXFrcgY3rgjIIxlTlWwMg4FcGd5dUzTL5YeEuVtp+Wj6/wBbn33hfxlg+A+MKWb4qh7WEYzi0rcy5otXjfS/R/3Wz4N/ZZ+Otl8RfgD8P7344ftiXer+I9R0bT7jV/D+r+ObMrNffI6I9uuH3iQRsEzncBnnIr7z/Z28JN4T+HIWQTB9R1G5v3SYYKmV84AwOMAEZ9a7b7Jahtwto8567BUlcOVZDWy/GPEVcQ6j5eXVbK6e7b7HzGb5vTzOrUnToxpKc3Lljsrt6JWWivZeSCuf+Knwr+Hfxu+H2qfCr4s+EbPXvDutW4h1TSb9C0VwgYMAcEEEMqsCCCCoIIIroKK+jlGM4uMldM8ijWq4erGrSk4yi0007NNapprVNPVNbGD8Ovhf8PfhL4G0r4afDbwhY6PoOiWSWmlaZZwgR28KjhRnJPqSSSSSSSSTW6qqoCqoAHQAUtFEYxikkrJCq1alepKpUk5Sk2227tt6ttvdvqwrxz/goNrnj3w3+xd8RNb+Gt5qNtqsHh5ybvR4fMu7a1LoLqaEf89EtjM6kZIKgjkCvY6SSOOWNopUDKwIZWGQQexrOvTdahKmna6av2utzqy7FQwGYUcTKCmqc4ycXtJRadnvo7WejPzX1r43+DPDv7UGk+EfCP7Ub+FfDsnwtFzfrpHiqztbeUi7i/sxvNk3Fy0Et4yqDgptfoQT9UfsmfEe68capCnhv4rS+MdJtreWG71RtYjvhvB3APLF8nmAuBjg7SPQV6J8CP2Xv2fP2Y/D1/4U+AXwl0fwtp2p6k+oX9rpdvtWa4ZVUudxJ+6qgKPlUDgCu7jijiG2KNVHooxXyWW8L4zBzpSninaDvyq/L6b9eunc9zO85yvFVXDBUfcUVFSkkpy6uUlG6vd2SUnZJK7sOooor7I+WP5q/wBnb40ftF6F/wAFZpvGHxH+J+teFPFWseOb2w+IGqyX0djNDbGZhdQyNJ8kSKsYAU8L5aBeVWv148ATeBPjVrV14W0D49TeOdS1C2S1uJm8UW+o3NnbF8HaIhiNMsSSwxnvX0/4e/Ze/Z88KfG/W/2kvDvwl0e08deI7JbTW/E0Vv8A6TdwgRjaxzgZEMWSAC2wZJxXdR28ER3RQop9VUCvhafCGK1jPFPlcr8qTaet7vVK/wAnr3P13xE8Scu4zzDDYnC4JUfZUIU3tur3tZfBG9ore29r2T6KKK+6PyIKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACvH/ANs39ur9nL9gj4faf8Sf2jvFF9Y2OraobDTLXSNGuNQu7mVYZJ5WSC3RpCkUEMs0j42okbMSK9gr4H/4LceHPiXoHiL4N/tH+D/gt4r8e6R4PXxro2uaH4L0STUr5Jtb8M3en2U32ePLGL7SUid+kaz7jwDQB90+FfFHh7xx4X03xr4R1iDUdJ1iwhvdL1C1fdFc28qCSOVD3VkZWB9DV+vIv+Cf/wAJvGfwG/YW+DnwT+IsezX/AAn8MNC0nW4t4byru3sIYpY8jghXVlz32167QAVzPxm+L3gb4BfCrX/jP8S7+4ttB8N6bJfanNaWMtzKIkGSI4olZ5HJwFVQSSQBXTVyHx++IGlfCv4J+KfiHreia1qVrpOiXE89h4c0abUb6cBCNsFtArSTOc8IoJNAEX7O3x8+HP7UnwO8L/tD/CK+urnwz4v0iLUtEnvbN7eV4JPul43+ZDx0PNdpXyL/AMEKde1K9/4Ja/Cjwb4g+H3i3wxrHg/w/HoOuaT4y8L3Wk3SXcCqzlIrlEaSL94NsoG1iGAOQcfXVABSSSJFG0sjAKoJYnsKWkkcRxtIwJCgkgDJNAHiX7JX/BQr9mP9tfxH4t8HfAzxFrD6t4Kltv7b0vxB4bvNLuPs9yHNteRR3UaNNbTCOQxzKCrbTjtn26vgL/gkP8WdQ/ae/ag+Pf7WHxX+EHxG8HeOfFV5Y6Xpmg+Mfh7qGkWmkeFdOluYdNt4rm5iSO7uZmkuLufyyQhuEQcJk/ftABRRRQB4jdf8FCv2aNP/AGx7L9hbUtZ1218d6nFMdLa68L3kel308Nqt5LaQ37Ri3luEt2WVolcsqnnB4r26vz2+M+neKfib/wAF0fg74p+F3wf+Lkd74Bt9asviHrXiXSrj/hDI9Cm0hzBd6bLIWtxeyXcsMJeDbMVjkSQbVFfoTQAUUUUAeWftYftl/AL9irwn4d8ZftAeKpdMtPFfjGw8L6CltZvcS3epXjlYYlRATj5WZm6KqkmvU6/L7/g4P+CX7bHxJ8TeAviB8C/2Xl+JvhTwnLozWcNp4mFrdaVrknifS5XuPsqwSyXCtbWiW5mG1baK5uZW3KrLX6d6dNe3GnwT6jZrb3Dwq09usu8ROQCyhsDdg5GcDOKAJqKKKAPNP2sP2rvhX+xp8KB8Yvi9ba9cabJrVlpNrZeGNAn1S/u7y7mEMEMNtbq0kru7BQFBPNdT8JPiXo/xk+GmifFPw/omt6bZa7p6XdtYeJNGm06/gRhwk9tOqyQOO6OARXhX/BWHwh8IfGX7KH2T44+Dvi7rHh+x8V6ZqMh+B9rcS+IbG4t5TLb3UItv36qkyx5eH51JU8KGI1P+CUy/tJp/wTv+E6/teNrJ+IX/AAjC/wBvHxI2dS2+dJ9m+1nr9p+zeR5uefM355zQB9B0UUUAVtZ1jSvD2kXfiDXdQhtLGxtpLi8u7iQLHDEilndmPAUKCSewFeXfsg/tsfAf9uTwJffEn9n+/wBbudIsr8W63Ot+GrvTftaNGskV1bi5jQz20qMGjmTKOM4PBFXf21vhr4v+M/7G/wAWfg/8PiP7e8VfDTXdI0TL7Qbu50+eGEZPT53Xmvj/AP4N6PDX7Q/hH4LeN/D3xN034s2PguxuPD1p4K074yrOuqWt9FodrHrccC3H7xLBdQV1gUfugqt5fyYoA/Q2iiigAr58+Ef/AAUu/Z5+Mn7WWqfsWaJ4a+IOkeONMsdRvvK8U/D7UNMs721srlLae4trm4jWO4i8yRAskZKuGBBORX0HXyh+zn4H8Z/Eb/gqh8fP2m/GnhPVLDSfCfhfw/8ADf4f3WpafLAl7AqPq2qXNuZFAlia5u7eHzEypazIzlTQB9X0UUUAFeBfGr/gph+yR+z9+1D4Z/ZB+JfjPU7bxj4ofT0tVtfD91cWNk9/PJb2CXd3GhitWuZopI4hIwLspAr32vyg/wCCkfwb+OPir/gs18P/ABv4d+BPjrV5o9Q+HbeAdZ0DQpJvDMtraa1fza++uyqPK822tZY5bQzndG77ofmJoA/V+iiigD//2Q==", "info": {"equation": "19+2*5=29", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "8fc8da02f2ad946385782d82bdb8982db38532208b41f71617d0c10c939d4c43"} +{"episode": 26768, "episode_seed": 2293466240, "split": "train", "timestamp": "2025-10-28T03:45:07.275025", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2293466240, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 0, 1, 7])", "action": "('move', [2, 0, 1, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "5+15=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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"info": {"equation": "5+15=20", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "16485463abd3cc7c33235c605145677cd093a1a6c14c14c0978216b63a4aebaf"} +{"episode": 26769, "episode_seed": 548604019, "split": "train", "timestamp": "2025-10-28T03:45:07.321623", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 548604019, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 4, 1, 7])", "action": "('move', [2, 4, 1, 7])", "reward": 0.0, "image": 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", 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", "info": {"equation": "5+9*6=59", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "5+9*6=59", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "eafe2b61768cb8dcb29bf7f26bbd905f541ab1b0e6bd58ad0e7b863b930398d4"} +{"episode": 26770, "episode_seed": 3177160656, "split": "train", "timestamp": "2025-10-28T03:45:07.370271", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3177160656, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 0])", "action": "('move', [4, 0, 1, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "37-21=16", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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B/akuvDtv8c9S8F+F9a0W4l8UXVtr0NjHO0KMbYvJNlSwlkwMfMQ7di1fsr8Bfi+3iXXYdB+Hf7Q1x44uIr6OaaJ/E8GovCrYXD+RjbGQp+8P7xBr3H4F/smfs2/szf23/wAKE+DeieFv+Ejvhd63/Zdtt+1SjdtJyThV3vtQYVdxwBk16DHBBEcxQopPXaoFfF4ThLHUacYvFySTvyxvbe+mq/Lc/S/EzxEy3jjiieZ4XB+zi4Rj71uZ2XxSsmr68q1fuxj6J9FFFfcn5Mfml/wc9eKfjLon7HXhXQ/A8t/F4T1fxb5PjaSzj/duEj8y0imYciMyqzAH5S8aZ5Cg/Mf/AARG+O/iLT/gN4k8FfEP9rDVfCOg6LrUSeFNKHjC1sI181ZJbry0mBYrvaNjj5QztjktX6z/ALengnwp8SP2ZNW8BeOtBh1TRtW1vRLfUtPuc+XcRNq1plW2kHH0INYn/BPj4Z/D/wCFnwo8QfD/AOHfhCx0fRdM8Yzx2GnWcWI4VNpaMcZySSzMSSSSSSTXwuaZZXxnE3JTrypuVO910s7W3Wj39T9lwniDl1DwgfDUsEpVPb83Ppa1+bm2v7T/AJd7W9n16HNfssaD4V8b+MNB8W+DPF39vWGi397fya1a6lHeLdXUsNxFK0syZVnZrmRiBg7h0ABFfUVIkccS7Y0Cj0UYpa+kyfK/7Jwroubm3Jybatq7eb7dz8lxmK+t1VPltZWsFFFFesch8m/8FvvE/wAYvCX/AATR+I2q/BSW/i1BrW3g1afTY90sWlyTol42Ryq+SXDMOVQseACR+fn/AAav618Vo/jz8TPDumwXTeB5fCcFxrEgtgYU1RblFtAZOquYXvMKPvBST90V+wP7SEENz+zv49triMPHJ4L1RXRhwwNpKCDXhf8AwTj+Bfwg+AHifxt4R+DHw+0/w7ptzo2h3dza2CtiWdpNSUyMzszMcKo5PAHFfJ5hh5PirCT5nrGWn+FN/jfU/XuH+O8DlfhTmfDs8IpVK9SMlU0sk+X4ut4ct4W6ye1tfqiiiivrD8hPH9U+Df7El5+17ZfFPV/D3ghvjUmj5sZ5r6EaybMRvF5q25fcyiPzE83YSFBXdgYHri2tqjBktowR0IQV/MX+0j8Y/wBqnQf+CoXin4neIPF+taN8SdO+Is8FrfvItvPZIspggjTd8iRC3KIoPyGM85Ukn9nPBPx08JnxNHYaD+2ddeIbu8DW9vpNx49s7rzmb+5HGA5fjjac9a+Fhxlg6EqsZUGnzPa2vnLaz77n7R4i+GmYcLUMsnVx6xCrUU1dt8lrPlhq/wB373uPS/vaI+3KKxfh5c63eeCdNuvEQf7Y9uDMZBhjycFgehIwT71tV9rQqqvQjUStzJOz3V1fU/GqkPZzcezsFFFFakH86v8AwcE+LPjVqn/BTTxJpfxDuNRTTtHsNPj8CQzRlI009oEcvABwwa5Nxl+SWUqfugD96v2UNX+KHiD9mH4ea78bba4h8Y3ngrTJvFMV3biGVdQa1jM4dBwjeYWyo6HIr5n/AOCk3wF+DXxd+K8/iv4nfDnTtc1Dwt8NJLrw/c36MxspvOum3qoYKx3RocMCPlHHWvtOxJayhZjkmJck/Svkskw7pZ7jryb1j/5Nd/hsvI/XuO+O8DxNwTkmV0cIqU8LBxlLTVpRj7ttbStzzv8Aa72u5a/Or/g5h8T/ABi0D9g/TNO+Hst/F4e1Xxhb23jeWyjyptPLd4UmYcrG1wsXsWCKTyAf0VryL9uvwl4b8efsu+IfBXjHR4tQ0rVbzSrXUbGfOyeF9TtVdDgg4IJHBBr285pOtlVeCdvdf4K/47HxXBGeUeG+LsFmdakqsaVSMnF9VfpfTmW8f7yR+P3/AAQz+M2teHvhb428G+Mv2nL/AMFeHbPWLWfQbCHxTaacktzLHJ9qcCUFnO2O2yfujtyTX1Zf+GPgz4O+Inw7+LH7NOs2WqfEnXPi7YxR+J9I1GLUdT1+O4uYxrUd1MGYzwLYedJIp+SARRsoj4z9Yf8ABPT4U/Df4Q/DbxX8Pfhl4LsNF0TT/GrfY9Os4sJHv03T3Y5YkklmYkkk5NeReAPgH8GdE/bwj+PWk/DjTYPGWo/FLVrS98QqjG4kgFlers5bao2xoCVAJC8nk5/PaeVYinhsDXlXk1OcEo6+7ftr09Efoec8dYHN+NMzzWnRlShNSahG1qloqKjV1S5Z6yqW57ttJa8y+36KKK/VD8TP5/8A/g5Q8WfGi8/4KER+HvGlxqEXhnSPDFlJ4DjdCkAjkRWupoiOGc3KurN9790g6KtfYf7LP7QVr8Qf2WvB2oftD/ttX82tav4bjPifRtW+IFjGkwfcDDNFwwDRFQykhsMckHNffXxz/ZP/AGcP2mL/AEDU/j18HtF8U3Hhe8N1oMuq25c2kpKFsYI3KxjTKNlW2jIOK782doTk2sZP+4K+Mr8L4ytj61eOKcFN30vf0eq0Wy30P2HiPxMyzOuBcpyKngVGpg01Kelnpb3dG/f+Ope3vpb7nlP7LvhEWJ1zx7ulI1pbSCPdjy2SASkOnHOTORnJHyjHQ161QAAMAUV9LluCWXYGGGUr8q32vrc/JcTXeJryqNWuFFFFdxgecftMaP8A2p4R067bS1uBp+rC5SXBLW7mGWLeMeqyupJ4+etj4EeDm8B/CvTPDr+cG33N06zgB1a4uJLgqQAMYMpAHUAc8119FebTy5QzWeN5m3KKjbtZ3/r5nTLEuWFVC2zvcKKKK9I5gooooAKKKKAPlz/go34n8RaH40+DGmajrV1p/gm/8bXI8R3EZVLeW/js3k0uC5kJGyNrgFlGQHmjhXklVb5v8A/H7Ql/aI+Lfh1/2wb3w5oGm6tpaafY2vi+xsYF1A2QF+ke8FpNpS3DEk7ZC6cFWA/RP4qfCr4dfG/4fap8Kviz4Qste8O61AIdT0nUI90VwgYMM4wQQyqwIIIKggggGofhT8G/hb8Dvh9pvwq+EvgbT9B8PaPE0em6VYQ4igVnZ2xnJJLMzEkkksSSSa+TzLh3F47NHiqeIdNOKWl7ryWq0e++/Q+zw/EGUUeHVhZ4fmrpcl7R5eX2ntPaX+L2n/Lu1rcn2vsnln7KnxD1Lx1qFvceH/iPJ4s0aOyaGfVv7US8R2j4BMsfyGTdwcYJ5yOOPeaRI44l2xoFHooxS17WVYCpluF9lOq6ju3d+fzf57nyuLxEcTV54xUdLWQUUUV6RzGP8QtKXXfAWtaHJpyXiXulXEElpJnbMrxsrIcc8gkcetedfsveDH0q/wBf8ZyxTxnULeysVSRcLttmuWyOM5zcMDzj5QOCDXrtFebXy5VszpYxy/hqSt35tP6+R0wxLhhZ0bfE1r6BRRRXpHMed3/7Jn7N2p/tAW/7VGofBzRZviFa2f2W38VPbk3KReW0XrtLeWzJvI3bTtzgAV6AtraowZLaMEdCEFSUVEKdOnflSV3d26vu/M6cRjMXi1BV6kp8kVGPM2+WK2ir7RV3ZLRBRRRVnMFFFFAHhn7Unw7/AOE38Tppi6TIG1zQm0lr62UmQo7SZTJyo2+YzDjuScgV7jBEIYEhByEQLz7CnUV5uDy6OExlfEc13Vadu1lb5nTWxLrUadO1uW/zuFfMX/BSjxLr+gD4TWt7rd1pvgy9+JESeMLuIhICyWk8unxXMhI8uF75LcckBnEak/MAfp2sP4lfDXwH8YvAeq/DD4n+FbTW/D+t2bWuq6Vfx7oriJuqkdQcgEEYIIBBBANa5lhZ47A1KEZcrkrX/rp38jsyTHYfLs0p168OaCumtG7Si43jfTmjfmjfTmSPzs8M/HzRrX9qT4p+E2/a6vfDGgaami+XYWniyysIE1dreVL1FLgtIyxQ2QcEnY5ZeCCB9Dfsw6H4R+IHi/Q/Efgzxv8A8JFaaPrFzqN1rdtqkV79pumgnifzpkypc/aCSBg8DtXv3wf+B3wj+AHw9sPhR8GvAGneHvDumeZ9h0qwhxHEXdpHPzZLFnZmJJJJNdTHHHEu2KNVHooxXzGD4UxFCpRnVxLkqbUuWztddFd6ettj1M4zzA4rE1PqdDlg4qKbspNRio80krpSlbmklJ2b3e7dRRRX2h8sFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXIfHz47/Cv9mL4N+Ifj78bfFUWieFfC2nNe6zqUqM/lRggAKqgs7sxVFRQSzMoAJNdfXyb/wAFvfgr8T/jz/wTZ8ceDvg94SvPEOuafqeha9F4d06PfcapBpusWd9PbRJ/HI0NvJtTqzBVHJoA9k/ZL/a8+B/7a/woPxh+A2u3t1psGrXOl6nZatpU1hfaZf27BZrW6tp1WSCVcqSjAHDqehFenV8Xf8EbfC3j/UIP2gv2l/Ffw18SeD9H+Mfx71HxN4N0DxdpEmn6iNMFjZWiXM9rJh7d5ZLaRtjgNtCk9RX2jQAUUUUAeN/tlft4/s5/sG+F9A8W/tE6/qdla+Jddi0nSV0rQ7i+d7iRlUFxCjCKMF0BdyFy6jkkCvZK+GP+DhHxZqVr/wAE/wC5+Gvhr4WeOvFeteJ/F+gtptj4I8F3usPGtlq9lezvMLWNzCvkwSFWbAZgFHJr7K+GPxA0r4r/AA50P4m6FpWrWFl4g0qDULSy17SpbG9gjljDqk9vMFkglAOGjcBlIIIBFAG7RRRQAV4F8Sv+Cl/7Jvwi/as0L9jn4heKda07xZ4i1G203Tb2bwte/wBkNqNzCZrewbUfK+zC6kjAZYt+7BGcZr32vzj/AG7vjXf/ABq/4KufCH9lH4p/BX4pW/wr+GHiTSfFy+IfD3wy1PUrHxN4ukOzTYXvYIWhtLGyE5nnlduZMI21Y2agD9HKKKKACiiigDwL9nb/AIKWfsq/tQfH7xF+zN8Mdd8QxeLvDmm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"info": {"equation": "37-21=16", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "1b46973b9fc2247040f6c1880c371e98abefad6766734064209a3ff3978a33b6"} +{"episode": 26771, "episode_seed": 3002634040, "split": "train", "timestamp": "2025-10-28T03:45:07.407783", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3002634040, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 1, 0])", "action": "('move', [3, 4, 1, 0])", "reward": 0.0, "image": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAIBAQEBAQIBAQECAgICAgQDAgICAgUEBAMEBgUGBgYFBgYGBwkIBgcJBwYGCAsICQoKCgoKBggLDAsKDAkKCgr/2wBDAQICAgICAgUDAwUKBwYHCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgoKCgr/wAARCABQASwDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD9/KKKKAP5+P8Ag5B8aftC6r+33d+C/iZLqcfgjStJtJPhzbTQ7LSSCW1hN3NERxI5uhKjMfmAjRegXP21/wAGyHjf9oXxR+yf4p0T4nT6pceCtF12C3+HlzqMXyBSspvIYJD8zxJJ5XHKqzuqnO4L7H/wVS8C/sx+PvHvwx0r9qy28MyeH4tN8QS2f/CU6qtnALsNpgXbI0keX2GTC55GTjjI9Q/4JxaF4K8Mfs5y+HvhvYWFr4es/F+sR6Jb6Vt+zJa/bHMflFSQVKkEMCd2c5Oc18JgMLKnxnW99v3XL1vbR+Svp6I/oLiLxKwOa+DGC4fjl6hODhH2llyJ03rOHX2k7fvP8c9Xc96ooor7s/n0KKKKAPh3/g4R8aftC+Cf+Cd+o3fwCl1OGG+8QW9l46u9Jh3SQaFJBcCYsw+aONphbRuy/wAMhU/KzV+R/wDwQ78bftC+Ff8Agov4D0f4CTam8Gs6lHbeNrKyi8yCXRN4Ny9wp+UJGvzK5wVfbt+Zgrf0IftbJHL+yp8TY5kDI3w91oMrDII+wzda+P8A/gn/APCz9jL4f/tP+HdR/ZK0nwZG934b1aPXrnwpq0d65wLNo0ldZZCgzvIXIBIJwccfB59hZS4lwklNrmf3cr6etz+guA/EvA5B4XZnklTL/aynze/Zcj9ouVe163ha8LXvovdtc/QKiiivvD+fQoormfiF8afg58JJrC2+K3xZ8M+GJNUZ10yPxDr1vZNeFCoYRCZ18wgumducb1z1FTKUYK8nZGtGhWxNRU6UXKT6JNvvsvI6aiiiqMgooooAK/Lv/g6E8aftC+H/ANnnwL4a+H8upwfD/WtWvI/H89jD+6edPszWEM8g5VGP2lgp+VmiXPKqK/USvDf+CkGleCtc/Y78TaP8SIrJ/D1zqWiRa4upTCO3+yHWLITeY5ICJs3ZbIwMnIxmvKzug8RlFaCk4+63deWtvnaz8mfY+H+f0eF+M8FmlWgq0aU78j63Tjdf3o35of3kj8Kv+CMPxv8Aib8Pv2kpPAOnfHnVPBfgjV9PuLrxW1trsFjA8kMDi2cvPlQ/mui/L8zA4OVBx2P/AAXC+O/xJ8VeOvDPwz0b9pDVfGnw+fR49RW3k8SW9/AurLNcRuWMGMMsLRYD8DeSvVq/UL/gmj8N/wBl3wD8Y/FVl+yzo3hWLQLrwjYyXkvhe9ju4ZboXl0DvlV33MF2/KW+UHgDPPaf8FT/AAl8D/FXwf8ABeg/tAWehnwjP8RYDqw168W1tONM1Ex75S6Bf3gTHzDJwOc4P57h8nxVbhx4tYmSilJ8mttG9Pitra+x+2Y3xZy2XjLTzv8Asv3YqNPlaXtW2rc9rW9or2Sv8KUbrdfCP/BrP43/AGhb7XfiH4CuZ9Un+FtjpqXMH2iLdaWmtvLGNkLn7rvBvZ0Xj5UZsEqW/Y6vlj/gl74R+C3gfQfHugfs9adodt4SGv2UumDw7cJNaSFtOgMjrIrMJCX3AtuJyMZ4wPqevueGabp5HRu27q+vS729EfkXihxJQ4r44xeY0sP7GMmly/a91Jc07ac7teXZ6Xdrsoorif2lNU+KGh/s7ePNa+CFlJc+M7Twbqc3hK3it1laXU1tZGtlCN8rkyhAFPBzg17k5ckHK17Hw2FoPFYmFFNJyaV27JXdrt9Eur7GhH8afg5N8Rn+D0XxZ8Mt4ujXdJ4WXXrc6ko8sS5Ntv8ANA8sh/u/dIbpzXTV/JDH8WfjZ4f+NzfGX/hNtdtfH9tr7ahJrsk7rqCaiJCzSMzfN5m/IIPuCMcV+5vwz+Pum6h8NPDt98Qv2+dUt/EE+gWcmvQf8LJ05PKvWgQzrtVSFxIXGBwMYFfDYfjjDy5vbUZLXTls9PO9tT9r8TfBip4f08HOnjI1lWi7prlalG13FK94O+j3XXc/RGivCv2ePiN4j8f+IrXW9B8XnX9Gu4SZr+C8W4t3VQVDq6EpncpHynkhu4491r6fKM0p5vhXXhBxV2tfLr/XW6PxfF4WWEq8jael9Aooor1DlP5+P+DkHxp+0Lqv7fd34L+Jkupx+CNK0m0k+HNtNDstJIJbWE3c0RHEjm6EqMx+YCNF6Bc+jf8ABFf9ovx5L8Cdd8G/Fn9rrWfC/h7w9qFva+CtOk8Y2liqRsJZLlI1mBdkDNFj+FdxC9wPvf8A4KpeBf2Y/H3j34Y6V+1ZbeGZPD8Wm+IJbP8A4SnVVs4BdhtMC7ZGkjy+wyYXPIyccZHpn/BOXwz4C8Ofs6y6B8OtI0y30C08X6xHosGmKhtltftbmPyyuQylSCGBO7OcnOa/NZ5ViMTxTXo068oO3NzK97Pl93daK+nof0TnXihl2O8HcFkX9mpSg4x52lyXp3vOGl/aTt7/APinq7n88P8AwUU+LXxZ+LP7Wni64+KnxP1HxWmj6xdad4Z1C/1GO6UaSk8jWojeL92ymNlbK8ksS3zZr90f+CC/jf8AaG8e/wDBOjw3rH7Q8+qXE8OpXFt4TvdYi2z3WiIsQtn3H5pE3eaqO3LIi4yu1jzP/BQr4X/sYeP/ANsSwT9q/TfBkslv4A0seHU8V6wlpuZtR1HzViDSp5vSLI+bGV6Z5+nf2HreCz/ZG+H1na26QxQ+GbeOKGJAqxooIVVUcKAAAAOABXVw7gqmF4ixFOVRycVq/wCa9tXq9jLxE8TMBxP4a5ZlVLLvYyg171lyrkTi1Ssr2lvPa23vbr1Siiiv0A/nsKKKKAP5+P8Ag5B8aftC6r+33d+C/iZLqcfgjStJtJPhzbTQ7LSSCW1hN3NERxI5uhKjMfmAjRegXP2p/wAGwXiX466t+yZ4t0Hx5bXv/CEaX4jjXwFcXVoERmkEr36QvwZEWXyyeoV3cA53Bff/APgpB8B/g9+0H8UPhp4P+NXw/sfEWmW2jeIbu3s74uFjnWTS0DgoynO12HXHP0rv/wDgnj4T8M+A/gFeeCfBehW2l6RpXjXW7XTdOs4gkVvCl7IFRQOg/UnJOSSa+DwGFlT40re+3aLl63to/JX09Efv3EPihlmbeDmD4bhgVCrT5IuenKvZt+/Dr7Spb327fFPV3PdaKKK+8PwEKKKKAPh3/g4R8aftC+CP+Cd+o3fwCl1OGG98QW9l46u9Jh3SQaFJBcCYsw+aONphbRuy/wAMhU/KzV+RP/BEHxL8dfDv/BST4exfAu2vZm1HUBaeLorW0Eqf2EzIbxptwwiKqqwfIIdUxliFP9C/7W0ccv7KnxNilQMrfD7WgysMgj7DNxXyz+xn+y/+z5+zt+1H4Vu/gh8JdJ8Nzav4Z1hdSnsFcyXCoLIqpaRmO0FidoIGecZAr4PPsLKXEuElztczXy5X09T9+4F8UMs4d8McyyGtgVUqVOa0tOWXOrfvL6vk3ja99F7tuY+56KKK+8PwEK/mX/4LLeNP2hfF3/BRD4jWf7Q02prNpHiG6s/CdnqEPlxwaEs7mxMCj5fLeErJuH32dmb5icf00V5X+0L+xB+yb+1drOleIf2ifgToXiu/0SJ4tMu9ShbzIo2YMYyyMpdNwyFbIBLYA3NnweIcorZxhFSpz5WnfXZ+tvwP1nwf8RMt8OOIqmOxuGdaE4OF4254a3vHmsrO1pK601vpZ/mr/wAEtv2mfGvir9kXS7r4/wD7beuaPqFnqM1jodld+OrO0ddLhjijgykgMhAYSqGf5iFHUYJ+zfg58Yb/AMWLb6X8NfjlN40m0+4w88evw6hIDISwWYwcYwDjcOFU46Zr6os9G0jTrOHTtP0q2gt7eJYoIIYFVI0UYVVUDAAAAAHAAqeOGGLPlRKueu1cV5C4Ux1knjp2VtNenb3vuPls+4owmc51icfTwcKSqzlJRVrR5ne3wr57X8giMhiUyqA+0bgOgPenUUV9qtEfHhX5d/8AB0J40/aF8Pfs8+BfDXw/l1OD4f61q15H4/nsYf3Tzp9mawhnkHKox+0sFPys0S55VRX6iV4r/wAFC/C3h7xx+ybr3g3xbpEV/peq6xoVpqNjPnZPBJrNkrocEHBUkcEHng15Wd0XiMorQUnH3W7ry1t87Wfkz7DgHiGhwrxjgs1rUFWjSndwfW6cbq+nNG/NF9JJH4N/8EYPi748+Hv7Uc3hjTfjVe+CvCetaTNJ4uvLXWLexWUQRSm1DSzggETSAALyd54wCR+oHilf2ZPjxqejeH/ix+0TZ/EhLPUkuNF8N+JvHVpf2rXv3Y5BaIVWeQAkKHVx87ADk16d+wB+z98FPgB8efFPhT4MfDTS/Dun3fguwurq3sIifOm+23a72ZyzMQoAGTgdsZNdd/wUp+E3w2+MHw88CfDz4m+DbPWdE1D4jRfbNOuVYJLs0rUpEyUKsMOqngjpX59hsnxNXhx4pYiSjaT5NbaN+dtbX2P0Dj3j/AcV+IazDDUHh42hHnjb2tktZuzinOz5bc691Jcx5D/wTa0zSvAf7cHxR+G37OmnQW/wsHhi2v8AxRaaRbRf2Zp3i9rgRtDDIn3JWtF3SwKcRlEBVMKD94V8y/8ABOD4V/Dn4LJ8Rfh38KPBtjoOiWfiKxe303T4ysau+m27OxJJLMSclmJPTnAFfTVfb8MU3TyOjdt3V9el3t6I/NuMMzpZrnk6tNOyUY80rc8+WKXPO1/elu9XbRc0muZlFFcT+0pqnxQ0P9nbx5rXwQspLnxnaeDdTm8JW8VusrS6mtrI1soRvlcmUIAp4OcGvdnLkg5WvY+fwtB4rEwoppOTSu3ZK7tdvol1fY81s/2ev+CbcX7Y83xGsfCvw3Hxu+0NeTRpqcB1dZjbAtObPzMiQwneZPL3ENvzklj759js/wDn1j/79iv5JY/iz8bPD/xub4y/8Jtrtr4/ttfbUJNdknddQTURIWaRmb5vM35BB9wRjiv3N+Gfx903UPhp4dvviF+3zqlv4gn0Czk16D/hZOnJ5V60CGddqqQuJC4wOBjAr4PB8Z4KHPzYdxu2/dS183tr3P3fxY8J8y4OhgalXMvrPPDkXO3eHJbSCbl+7973drdtT9EERI12xoFA6ADFLXhX7PHxG8R+P/EVrreg+Lzr+jXcJM1/BeLcW7qoKh1dCUzuUj5TyQ3cce619VlGaU83wrrwg4q7Wvl1/rrdH4Xi8LLCVeRtPS+gUUUV6hyn8/H/AAcg+NP2hdV/b7u/BfxMl1OPwRpWk2knw5tpodlpJBLawm7miI4kc3QlRmPzARovQLnv/wDgiV8efFdl8BvEPgr4j/tV6l4P8OaHq0UfhDTE8V2enJmXzprsqso3uPMeM5PALkA9QP0V/wCCkHwH+D37QfxQ+GnhD41fD+y8RaZa6N4hu7ezvi4WOdZNLQOCjKc7XYdcc9Old3/wT08FeEPA/wABLzwZ4P8ADVlpuk6V411u107T7SALFbwpeyBUUeg/MnJOSSa/NZ5VXxXFNejTryg7c3Mt7Pl93daK+noj+hc58VcqzDwhwfDyy+KqU+SLl7vKuS/7yOjftKlvful8U9Xc+XtV+HX7Fnxp1/WPG3xP8ZeGPiZqiaC0Gqav4v8AFFtqkmnaWvLBTuC2cIJLGVAhDMx3gmvcf+CPWqeNL/8AZFl0/WJNQm8K6V4y1TT/AIWXmp2ixS3XheJ0WxcYA3xj96sbkfNGiEZXax5H9tj9l79nv9oT9sBJPjX8JtK8RnR/h9pJ037ergQeZqGp78BGUMG8tMhsj5frX0D+w9b29n+yL8PbOzt44YYfDNvHDDEgVI0UYVVUcAAAAAcACurh3BVMLxHiISqOTgtW/tXs9dXsfnmbZ7RrcIUsJec5TlF2nbkpKHMkqXvNvmT952gklbllo16rRRRX6AfnoUUUUAeQftP+HBfaroXih9EWRtOt7qCHUFVi0CzNCZIzjgKxhiPPdBiuh/Zt+H7/AA7+G72EouFl1LWb7VJo7kANG9xO0pXGBgDdwDz6131FePRyiNHOKmP523NJWttt1+R2Txjng44fl2d7/f8A5hRRRXsHGFFFFAGD8UtEj8TfDbXvDU+kx38Wo6RcWtxYy52zxSRsjocEHlWYcc81478BvhxLqPxZ0/x3cQ3UI8Pabe2kalNqM1x5AZWyM7lEI4BGM89RX0BRXj4zKI4zMqOLc2vZ9Lb/AD6ee/yOyjjHRw06Kj8XUKKKK9g4wooooAKKKKACiiigAr48/wCCn/jDxP4e+LXwP0jxT4hvNI+Ft74g1GfxffKyxWUmr28cEuj297OSPLhaUXDhSQrywxA5IUH7DrE+JPw28BfGHwJqvwx+KHhOy1zw/rdo1rqmlahCHiuIm7EdiCAQwwVYBgQQDXBmmDnmGAqYeMuVyW/4/c9n5HtcP5jhsqzaGIxFPnhaUWtLpThKHNG+nNDm5o3+0lqtz83PjZ8drfwl+3T4E8FeFP2krjwpDP4X1RfiPDp2vWdokFtGnm6f50soJjlNxM2I+GZHDYKkmvTdK+JPwm8V+JNLttQ/ayHi+8gvfM0bStU8d2d2BdtG8QeOKPazS7JJEHXiRuM4x9Yfs/8A7Kv7O37K/ha78F/s9/CPSPC2m396bu9t9OhJM820Lvd3LM2FUAAnA7Yya71bS1Vgy20YI6EIK+SpcH45YX2UsW0usUny/wDpSv8Acexm/EGU1sRTjgsP7lOPLzyUYzm+aUnOSXMk/e5UuaVoxirux5f+y78P38K2XiHxfMLhZPEupQXBjmAChYraKBSgwDghM5Oc5yOK9Uoor7DL8HHAYKGHTvyq1+58niKzxFaVRq1wooorsMTyW3/YR/Y+tP2gX/antv2fPDifECS6a6fxKLU+d9oaPy2m258sSFc5cLuJJbO4k16t9js/+fWP/v2KkorOnSpUr8kUru7srXfd+Z14vMMfj3B4qrKpyRUY80nLlitoq7dorolohERI12xoFA6ADFLRRWhyBRRRQB8IePPGXia7/wCClXxH8O/GPxHeWv8AZ/h/S4fhHpOoOsNrc6RLaxzajcWgyPtExvYnWVvmZEgjB2qAT4/8Av2kdH1X44/GPTLf9tG90fwRZeKbVvCUdp4xsLK2e5mgaXUvIJBM8QnZCJMlfmOCeQP0M/aI/ZO/Zy/az0Cw8MftGfCLSPFllpV2brTY9SjbdbSlSjFHQq6hgeVBw21SQSq46nwJ8OfAfwx8GaZ8PPh94SsNI0PRbJLTS9MsbdUitoUGFRQP59Sck5Jr4mvwrjauZ1cTDEuClqmr82vTdaLpr20P0GvxRkU8nUI4a9d06dNpqKpw9nyXqQesnOpyLmvFW56nvS5tPj34a+Kvh74u8VXV74U+NaeOtfltYY555PEsGpXaW0cjmOMCHlYxJM5Hy/elPPIFfWHwL8Ax/C74PeHPh9FLM40nSooN1wQXOBn5sADPPpXUx28ER3RQIp9VUCn16mTZDLKsRUrzrOpKaSu1+erufH4zHrFU4wjBRS/rsgooor6I84KKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigD50/bS/4Ko/sbfsEeKdL8C/H/wAaav8A27qmkz6sujeGfDN5q1zaaZCcTahcpaxube2Q5BlfC8H0Ne4fDX4k+A/jH8PtF+K3wu8VWeueHPEWmQ6homsafLvhvLaVA8ciH0KkdeR0IBr8uv8AgpL4Y+Mv7Mv/AAVI+Iv7Wdz+zP4/+I3g74tfskah8OvDU3gDwtNrEllr/wBpMiWl1HCCbeCUYPnN8gLHPQ19jf8ABG39nb4p/sof8ExPg38AfjZYtZ+KtA8Ioutae8odrKWWWSf7OSpILRiQIcEgFSBQB9NUUUUAFFFFAHK/G740fD39nj4U638afirq01l4f8P2n2jUbi2sZbmUKWVFVIoVaSR2ZlUKqkksK479iv8AbZ+BH7fvwW/4X5+zrqWq3Ph4azd6U7azo81hcJdWzBZkaGYB12sccjrn0rs/jV8WNB+Bfwt1n4teJ9A1/VLDQ7UXFzp/hfQZ9T1CZd6riG1t1aWZssDtVScAnoDX59f8G1Hj3WNG/Zt8Yfs9eO/gl8S/CPiG2+I3iHxPnxr8PNR0m1nsL6/LW/lT3MSJJKVILRqSyjqKAP0tooooAKKKKACvli+/4LK/sI6P+0lp37L/AIj8beI9I1rWPFEnhvRtd1jwRqVroeoavG/lvZQajLCtvLKJPk+ViN3Ga+p6/IP9pj9o6/8A27P+Cp3hn4Y/tP8A7N3xs8N/BL4E/EO3uvBVjpfwY1i9Xxz4oimaGPUrm9itzFa6ZA3zJhv3qtvZgrEKAfr5RRRQAUUUUAFeN/te/t0/A79ibRtM1X4v2Pi7UJdY+0NY6Z4L8FX+t3ZigQPPO8VnE5jijVlLSPtUZHNeyV8ef8Fh/HHwtX4K2vwb+Mnwz/aN1HRvEUN1c2+vfs86fqMt1b3cMRjS0uX05vNVJhOxCSKYHMfzkbRQB9AfsrftUfA39tP4F6H+0f8As5eNU1/wl4gjkbTtQW3eFt0cjRyRvHIAyOjqyspHBFeh18Z/8EA/hd+0V8GP+CV3w3+Gv7Tnw7/4RXxBpaXqWWiT6fFa3UGmm6ka0N1HEAq3DRkM5I3EnLfMTX2ZQAUUUUAFFFeX/trWP7R+q/smfELSf2QWs1+Jt54WurfwTLf3KwxRX8ibEkLuQqldxYE8blGaAOS/Z7/4KY/sh/tS/tTfET9jv4IfEC41rxn8LVP/AAl6RabILOBllWF0juCNkrJKSjBScMrDsa99r8af+CMf7O37Y/7L/wDwVx8U+FfGf/BPmf4feEl+BWiaFq+uHxx/atqslufNN8t+tnFHqV5dXBZ5okKtEZWYlgMV+y1ABRRRQAUUUUAfLvxq/wCCuf7L/wAEP2ite/Za1LwT8VfE3i7wvbWFx4gtvAXwq1XXIdPjvYzJbNLLZwuqB1VsZx9xh/CcfUMbiRFkAIDAEBhg1+OH/BY34ca/o/7RPxG+JH7EHw5/a70f9qDxJf8Ahu38Ka54Cs7yLwdrEVqIlRrmaH/RJLdInuVZbs71kJwAjHP68fD4eMB4B0MfEMwHxANHtv7cNrjyvtnlL52zHG3zN2PagDYooooA/9k=", 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", 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3AdAe9Ooor7VaI+PCvy7/AODoTxp+0L4e/Z58C+Gvh/LqcHw/1rVryPx/PYw/unnT7M1hDPIOVRj9pYKflZolzyqiv1ErmvjJ4S+FHjn4VeIPCvx00zSLzwfd6VMPEcOvMi2YtApaR5WcgRqoXfvyNhUMCCAR5+aYSWPy+pQjPlclv+P3PZ+R9dwHxFR4T4vwebVaCrxpTu4PrdON1/ejfmh/eSP51/8AgjB8XPHnw9/aim8M6b8ab7wV4T1rSZpPF15a6xb2KyiCKU2oaWcEAiaQAKvJ3njAJH6f+KV/Zk+PGp6N4f8Aix+0TZ/EhLPUkuNF8N+JvHVpf2rXv3Y5BaIVWeQAkKHVx87ADk19ZfsgfCL9i74X/Dq8sv2KdE8GR+GrzVGkv7jwdqEV7DNdqiAh5keTc6ps+Ut8oI4GeeJ/4KU/Cb4bfGD4eeBPh58TfBtnrOiah8RovtmnXKsEl2aVqUiZKFWGHVTwR0r4bEcNYvB5PObxTcYxb5VflfXv+h9/xz4hYLi7xAWY0MNLCr3YcyS9tpdOcknH37Pltzr3VFOR5D/wTa0zSvAf7cHxR+G37OmnQW/wsHhi2v8AxRaaRbRf2Zp3i9rgRtDDIn3JWtF3SwKcRlEBVMKD94V8y/8ABOD4V/Dn4LJ8Rfh38KPBtjoOiWfiKxe303T4ysau+m27OxJJLMSclmJPTnAFfTVfVcMU3TyOjdt3V9el3t6I/OeMMzpZrnk6tNOyUY80rc8+WKXPO1/elu9XbRc0muZlFFcT+0pqnxQ0P9nbx5rXwQspLnxnaeDdTm8JW8VusrS6mtrI1soRvlcmUIAp4OcGvdnLkg5WvY+fwtB4rEwoppOTSu3ZK7tdvol1fY81s/2ev+CbcX7Y83xGsfCvw3Hxu+0NeTRpqcB1dZjbAtObPzMiQwneZPL3ENvzklj759js/wDn1j/79iv5JY/iz8bPD/xub4y/8Jtrtr4/ttfbUJNdknddQTURIWaRmb5vM35BB9wRjiv3N+Gfx903UPhp4dvviF+3zqlv4gn0Czk16D/hZOnJ5V60CGddqqQuJC4wOBjAr4PB8Z4KHPzYdxu2/dS183tr3P3fxY8J8y4OhgalXMvrPPDkXO3eHJbSCbl+7973drdtT9EERI12xoFA6ADFLXhX7PHxG8R+P/EVrreg+Lzr+jXcJM1/BeLcW7qoKh1dCUzuUj5TyQ3cce619VlGaU83wrrwg4q7Wvl1/rrdH4Xi8LLCVeRtPS+gUUUV6hyn8/H/AAcg+NP2hdV/b7u/BfxMl1OPwRpWk2knw5tpodlpJBLawm7miI4kc3QlRmPzARovQLnv/wDgiV8efFdl8BvEPgr4j/tV6l4P8OaHq0UfhDTE8V2enJmXzprsqso3uPMeM5PALkA9QP0V/wCCkHwH+D37QfxQ+GnhD41fD+y8RaZa6N4hu7ezvi4WOdZNLQOCjKc7XYdcc9Old3/wT08FeEPA/wABLzwZ4P8ADVlpuk6V411u107T7SALFbwpeyBUUeg/MnJOSSa/NZ5VXxXFNejTryg7c3Mt7Pl93daK+noj+hc58VcqzDwhwfDyy+KqU+SLl7vKuS/7yOjftKlvful8U9Xc+XtV+HX7Fnxp1/WPG3xP8ZeGPiZqiaC0Gqav4v8AFFtqkmnaWvLBTuC2cIJLGVAhDMx3gmvcf+CPWqeNL/8AZFl0/WJNQm8K6V4y1TT/AIWXmp2ixS3XheJ0WxcYA3xj96sbkfNGiEZXax5H9tj9l79nv9oT9sBJPjX8JtK8RnR/h9pJ037ergQeZqGp78BGUMG8tMhsj5frX0D+w9b29n+yL8PbOzt44YYfDNvHDDEgVI0UYVVUcAAAAAcACurh3BVMLxHiISqOTgtW/tXs9dXsfnmbZ7RrcIUsJec5TlF2nbkpKHMkqXvNvmT952gklbllo16rRRRX6AfnoUUUUAeQftP+HBfaroXih9EWRtOt7qCHUFVi0CzNCZIzjgKxhiPPdBiuh/Zt+H7/AA7+G72EouFl1LWb7VJo7kANG9xO0pXGBgDdwDz6131FePRyiNHOKmP523NJWttt1+R2Txjng44fl2d7/f8A5hRRRXsHGFFFFAGD8UtEj8TfDbXvDU+kx38Wo6RcWtxYy52zxSRsjocEHlWYcc81478BvhxLqPxZ0/x3cQ3UI8Pabe2kalNqM1x5AZWyM7lEI4BGM89RX0BRXj4zKI4zMqOLc2vZ9Lb/AD6ee/yOyjjHRw06Kj8XUKKKK9g4wooooAKKKKACiiigAr8u/wDg6E8a/tDeHf2efAvhv4fTapB4A1rVr2Px/PYw/unnT7M1hBPIOVRj9pYKflZo1zyqiv1ErE+JHw28B/GDwJqvwx+J/hSy1zQNbs2tdV0rUIQ8VxE3UEdiDghhgqQCCCAa4M0wc8wwFTDxlyuS3/H7ns/I+t4F4kw/CPF2EzivQVaFGV3B21umrq+nNG/NB9JJH86f/BGH43fE34f/ALSMngHTvjzqngvwRq9hcXfitrbXoLGB5IYHFs5efKh/NdF+X5mBwcqDj9VtK+JPwm8V+JNLttQ/ayHi+8gvfM0bStU8d2d2BdtG8QeOKPazS7JJEHXiRuM4x9Y/s/8A7Kv7O37K/ha78F/s+fCPSPC2m316bu9t9OhOZ5toXe7uWZsKoABOB2xk13i2lqrBltowR0IQV8lS4PxywvspYxpdYpNx/wDSl+R9Z4k+IuW8a8VzzXC4JUo8sYq9ueXL9qdk1za23doqKvoeX/su/D9/Ctl4h8XzC4WTxLqUFwY5gAoWK2igUoMA4ITOTnOcjivVKKK+wy/BxwGChh078qtfuflmIrPEVpVGrXCiiiuwxPJbf9hH9j60/aBf9qe2/Z88OJ8QJLprp/EotT532ho/LabbnyxIVzlwu4kls7iTXq32Oz/59Y/+/YqSis6dKlSvyRSu7uytd935nXi8wx+PcHiqsqnJFRjzScuWK2irt2iuiWiEREjXbGgUDoAMUtFFaHIFFFFAHwh488ZeJrv/AIKVfEfw78Y/Ed5a/wBn+H9Lh+Eek6g6w2tzpEtrHNqNxaDI+0TG9idZW+ZkSCMHaoBPj/wC/aR0fVfjj8Y9Mt/20b3R/BFl4ptW8JR2njGwsrZ7maBpdS8gkEzxCdkIkyV+Y4J5A/Qz9oj9k79nL9rPQLDwx+0Z8ItI8WWWlXZutNj1KNt1tKVKMUdCrqGB5UHDbVJBKrjqfAnw58B/DHwZpnw8+H3hKw0jQ9FsktNL0yxt1SK2hQYVFA/n1JyTkmvia/CuNq5nVxMMS4KWqavza9N1oumvbQ/Qa/FGRTydQjhr13Tp02moqnD2fJepB6yc6nIua8Vbnqe9Lm0+Pfhr4q+Hvi7xVdXvhT41p461+W1hjnnk8SwaldpbRyOY4wIeVjEkzkfL96U88gV9YfAvwDH8Lvg94c+H0UszjSdKig3XBBc4GfmwAM8+ldTHbwRHdFAin1VQKfXqZNkMsqxFSvOs6kppK7X56u58fjMesVTjCMFFL+uyCiiivojzgooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAPnT9tL/gqj+xt+wR4p0vwL8f/ABpq/wDbuqaTPqy6N4Z8M3mrXNppkJxNqFylrG5t7ZDkGV8LwfQ17h8NfiT4D+Mfw+0X4rfC7xVZ654c8RaZDqGiaxp8u+G8tpUDxyIfQqR15HQgGvy6/wCCkvhj4y/sy/8ABUj4i/tZ3P7M/j/4jeDvi1+yRqHw68NTeAPC02sSWWv/AGkyJaXUcIJt4JRg+c3yAsc9DX2N/wAEbf2dvin+yh/wTE+DfwB+Nli1n4q0Dwii61p7yh2spZZZJ/s5KkgtGJAhwSAVIFAH01RRRQAUUUUAcr8bvjR8Pf2ePhTrfxp+KurTWXh/w/afaNRuLaxluZQpZUVUihVpJHZmVQqqSSwrjv2K/wBtn4Eft+/Bb/hfn7Ouparc+HhrN3pTtrOjzWFwl1bMFmRoZgHXaxxyOufSuz+NXxY0H4F/C3Wfi14n0DX9UsNDtRcXOn+F9Bn1PUJl3quIbW3VpZmywO1VJwCegNfn1/wbUePdY0b9m3xh+z147+CXxL8I+Ibb4jeIfE+fGvw81HSbWewvr8tb+VPcxIkkpUgtGpLKOooA/S2iiigAooooAK+WL7/gsr+wjo/7SWnfsv8AiPxt4j0jWtY8USeG9G13WPBGpWuh6hq8b+W9lBqMsK28sok+T5WI3cZr6nr8g/2mP2jr/wDbs/4KneGfhj+0/wDs3fGzw38EvgT8Q7e68FWOl/BjWL1fHPiiKZoY9Sub2K3MVrpkDfMmG/eq29mCsQoB+vlFFFABRRRQAV43+17+3T8Dv2JtG0zVfi/Y+LtQl1j7Q1jpngvwVf63dmKBA887xWcTmOKNWUtI+1Rkc17JXx5/wWH8cfC1fgra/Bv4yfDP9o3UdG8RQ3Vzb69+zzp+oy3VvdwxGNLS5fTm81UmE7EJIpgcx/ORtFAH0B+yt+1R8Df20/gXof7R/wCzl41TX/CXiCORtO1Bbd4W3RyNHJG8cgDI6OrKykcEV6HXxn/wQD+F37RXwY/4JXfDf4a/tOfDv/hFfEGlpepZaJPp8VrdQaabqRrQ3UcQCrcNGQzkjcSct8xNfZlABRRRQAUUV5f+2tY/tH6r+yZ8QtJ/ZBazX4m3nha6t/BMt/crDFFfyJsSQu5CqV3FgTxuUZoA5L9nv/gpj+yH+1L+1N8RP2O/gh8QLjWvGfwtU/8ACXpFpsgs4GWVYXSO4I2SskpKMFJwysOxr32vxp/4Ix/s7ftj/sv/APBXHxT4V8Z/8E+Z/h94SX4FaJoWr64fHH9q2qyW5803y362cUepXl1cFnmiQq0RlZiWAxX7LUAFFFFABRRRQB8u/Gr/AIK5/sv/AAQ/aK179lrUvBPxV8TeLvC9tYXHiC28BfCrVdch0+O9jMls0stnC6oHVWxnH3GH8Jx9QxuJEWQAgMAQGGDX44f8Fjfhxr+j/tE/Eb4kfsQfDn9rvR/2oPEl/wCG7fwprngKzvIvB2sRWoiVGuZof9Ekt0ie5VluzvWQnACMc/rx8Ph4wHgHQx8QzAfEA0e2/tw2uPK+2eUvnbMcbfM3Y9qANiiiigD/2Q==", "info": {"equation": "17-9=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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3AdAe9Ooor7VaI+PCvy7/AODoTxp+0L4e/Z58C+Gvh/LqcHw/1rVryPx/PYw/unnT7M1hDPIOVRj9pYKflZolzyqiv1ErmvjJ4S+FHjn4VeIPCvx00zSLzwfd6VMPEcOvMi2YtApaR5WcgRqoXfvyNhUMCCAR5+aYSWPy+pQjPlclv+P3PZ+R9dwHxFR4T4vwebVaCrxpTu4PrdON1/ejfmh/eSP51/8AgjB8XPHnw9/aim8M6b8ab7wV4T1rSZpPF15a6xb2KyiCKU2oaWcEAiaQAKvJ3njAJH6f+KV/Zk+PGp6N4f8Aix+0TZ/EhLPUkuNF8N+JvHVpf2rXv3Y5BaIVWeQAkKHVx87ADk19ZfsgfCL9i74X/Dq8sv2KdE8GR+GrzVGkv7jwdqEV7DNdqiAh5keTc6ps+Ut8oI4GeeJ/4KU/Cb4bfGD4eeBPh58TfBtnrOiah8RovtmnXKsEl2aVqUiZKFWGHVTwR0r4bEcNYvB5PObxTcYxb5VflfXv+h9/xz4hYLi7xAWY0MNLCr3YcyS9tpdOcknH37Pltzr3VFOR5D/wTa0zSvAf7cHxR+G37OmnQW/wsHhi2v8AxRaaRbRf2Zp3i9rgRtDDIn3JWtF3SwKcRlEBVMKD94V8y/8ABOD4V/Dn4LJ8Rfh38KPBtjoOiWfiKxe303T4ysau+m27OxJJLMSclmJPTnAFfTVfVcMU3TyOjdt3V9el3t6I/OeMMzpZrnk6tNOyUY80rc8+WKXPO1/elu9XbRc0muZlFFcT+0pqnxQ0P9nbx5rXwQspLnxnaeDdTm8JW8VusrS6mtrI1soRvlcmUIAp4OcGvdnLkg5WvY+fwtB4rEwoppOTSu3ZK7tdvol1fY81s/2ev+CbcX7Y83xGsfCvw3Hxu+0NeTRpqcB1dZjbAtObPzMiQwneZPL3ENvzklj759js/wDn1j/79iv5JY/iz8bPD/xub4y/8Jtrtr4/ttfbUJNdknddQTURIWaRmb5vM35BB9wRjiv3N+Gfx903UPhp4dvviF+3zqlv4gn0Czk16D/hZOnJ5V60CGddqqQuJC4wOBjAr4PB8Z4KHPzYdxu2/dS183tr3P3fxY8J8y4OhgalXMvrPPDkXO3eHJbSCbl+7973drdtT9EERI12xoFA6ADFLXhX7PHxG8R+P/EVrreg+Lzr+jXcJM1/BeLcW7qoKh1dCUzuUj5TyQ3cce619VlGaU83wrrwg4q7Wvl1/rrdH4Xi8LLCVeRtPS+gUUUV6hyn8/H/AAcg+NP2hdV/b7u/BfxMl1OPwRpWk2knw5tpodlpJBLawm7miI4kc3QlRmPzARovQLnv/wDgiV8efFdl8BvEPgr4j/tV6l4P8OaHq0UfhDTE8V2enJmXzprsqso3uPMeM5PALkA9QP0V/wCCkHwH+D37QfxQ+GnhD41fD+y8RaZa6N4hu7ezvi4WOdZNLQOCjKc7XYdcc9Old3/wT08FeEPA/wABLzwZ4P8ADVlpuk6V411u107T7SALFbwpeyBUUeg/MnJOSSa/NZ5VXxXFNejTryg7c3Mt7Pl93daK+noj+hc58VcqzDwhwfDyy+KqU+SLl7vKuS/7yOjftKlvful8U9Xc+XtV+HX7Fnxp1/WPG3xP8ZeGPiZqiaC0Gqav4v8AFFtqkmnaWvLBTuC2cIJLGVAhDMx3gmvcf+CPWqeNL/8AZFl0/WJNQm8K6V4y1TT/AIWXmp2ixS3XheJ0WxcYA3xj96sbkfNGiEZXax5H9tj9l79nv9oT9sBJPjX8JtK8RnR/h9pJ037ergQeZqGp78BGUMG8tMhsj5frX0D+w9b29n+yL8PbOzt44YYfDNvHDDEgVI0UYVVUcAAAAAcACurh3BVMLxHiISqOTgtW/tXs9dXsfnmbZ7RrcIUsJec5TlF2nbkpKHMkqXvNvmT952gklbllo16rRRRX6AfnoUUUUAeQftP+HBfaroXih9EWRtOt7qCHUFVi0CzNCZIzjgKxhiPPdBiuh/Zt+H7/AA7+G72EouFl1LWb7VJo7kANG9xO0pXGBgDdwDz6131FePRyiNHOKmP523NJWttt1+R2Txjng44fl2d7/f8A5hRRRXsHGFFFFAGD8UtEj8TfDbXvDU+kx38Wo6RcWtxYy52zxSRsjocEHlWYcc81478BvhxLqPxZ0/x3cQ3UI8Pabe2kalNqM1x5AZWyM7lEI4BGM89RX0BRXj4zKI4zMqOLc2vZ9Lb/AD6ee/yOyjjHRw06Kj8XUKKKK9g4wooooAKKKKACiiigAr8u/wDg6E8a/tDeHf2efAvhv4fTapB4A1rVr2Px/PYw/unnT7M1hBPIOVRj9pYKflZo1zyqiv1ErE+JHw28B/GDwJqvwx+J/hSy1zQNbs2tdV0rUIQ8VxE3UEdiDghhgqQCCCAa4M0wc8wwFTDxlyuS3/H7ns/I+t4F4kw/CPF2EzivQVaFGV3B21umrq+nNG/NB9JJH86f/BGH43fE34f/ALSMngHTvjzqngvwRq9hcXfitrbXoLGB5IYHFs5efKh/NdF+X5mBwcqDj9VtK+JPwm8V+JNLttQ/ayHi+8gvfM0bStU8d2d2BdtG8QeOKPazS7JJEHXiRuM4x9Y/s/8A7Kv7O37K/ha78F/s+fCPSPC2m316bu9t9OhOZ5toXe7uWZsKoABOB2xk13i2lqrBltowR0IQV8lS4PxywvspYxpdYpNx/wDSl+R9Z4k+IuW8a8VzzXC4JUo8sYq9ueXL9qdk1za23doqKvoeX/su/D9/Ctl4h8XzC4WTxLqUFwY5gAoWK2igUoMA4ITOTnOcjivVKKK+wy/BxwGChh078qtfuflmIrPEVpVGrXCiiiuwxPJbf9hH9j60/aBf9qe2/Z88OJ8QJLprp/EotT532ho/LabbnyxIVzlwu4kls7iTXq32Oz/59Y/+/YqSis6dKlSvyRSu7uytd935nXi8wx+PcHiqsqnJFRjzScuWK2irt2iuiWiEREjXbGgUDoAMUtFFaHIFFFFAHwh488ZeJrv/AIKVfEfw78Y/Ed5a/wBn+H9Lh+Eek6g6w2tzpEtrHNqNxaDI+0TG9idZW+ZkSCMHaoBPj/wC/aR0fVfjj8Y9Mt/20b3R/BFl4ptW8JR2njGwsrZ7maBpdS8gkEzxCdkIkyV+Y4J5A/Qz9oj9k79nL9rPQLDwx+0Z8ItI8WWWlXZutNj1KNt1tKVKMUdCrqGB5UHDbVJBKrjqfAnw58B/DHwZpnw8+H3hKw0jQ9FsktNL0yxt1SK2hQYVFA/n1JyTkmvia/CuNq5nVxMMS4KWqavza9N1oumvbQ/Qa/FGRTydQjhr13Tp02moqnD2fJepB6yc6nIua8Vbnqe9Lm0+Pfhr4q+Hvi7xVdXvhT41p461+W1hjnnk8SwaldpbRyOY4wIeVjEkzkfL96U88gV9YfAvwDH8Lvg94c+H0UszjSdKig3XBBc4GfmwAM8+ldTHbwRHdFAin1VQKfXqZNkMsqxFSvOs6kppK7X56u58fjMesVTjCMFFL+uyCiiivojzgooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAPnT9tL/gqj+xt+wR4p0vwL8f/ABpq/wDbuqaTPqy6N4Z8M3mrXNppkJxNqFylrG5t7ZDkGV8LwfQ17h8NfiT4D+Mfw+0X4rfC7xVZ654c8RaZDqGiaxp8u+G8tpUDxyIfQqR15HQgGvy6/wCCkvhj4y/sy/8ABUj4i/tZ3P7M/j/4jeDvi1+yRqHw68NTeAPC02sSWWv/AGkyJaXUcIJt4JRg+c3yAsc9DX2N/wAEbf2dvin+yh/wTE+DfwB+Nli1n4q0Dwii61p7yh2spZZZJ/s5KkgtGJAhwSAVIFAH01RRRQAUUUUAcr8bvjR8Pf2ePhTrfxp+KurTWXh/w/afaNRuLaxluZQpZUVUihVpJHZmVQqqSSwrjv2K/wBtn4Eft+/Bb/hfn7Ouparc+HhrN3pTtrOjzWFwl1bMFmRoZgHXaxxyOufSuz+NXxY0H4F/C3Wfi14n0DX9UsNDtRcXOn+F9Bn1PUJl3quIbW3VpZmywO1VJwCegNfn1/wbUePdY0b9m3xh+z147+CXxL8I+Ibb4jeIfE+fGvw81HSbWewvr8tb+VPcxIkkpUgtGpLKOooA/S2iiigAooooAK+WL7/gsr+wjo/7SWnfsv8AiPxt4j0jWtY8USeG9G13WPBGpWuh6hq8b+W9lBqMsK28sok+T5WI3cZr6nr8g/2mP2jr/wDbs/4KneGfhj+0/wDs3fGzw38EvgT8Q7e68FWOl/BjWL1fHPiiKZoY9Sub2K3MVrpkDfMmG/eq29mCsQoB+vlFFFABRRRQAV43+17+3T8Dv2JtG0zVfi/Y+LtQl1j7Q1jpngvwVf63dmKBA887xWcTmOKNWUtI+1Rkc17JXx5/wWH8cfC1fgra/Bv4yfDP9o3UdG8RQ3Vzb69+zzp+oy3VvdwxGNLS5fTm81UmE7EJIpgcx/ORtFAH0B+yt+1R8Df20/gXof7R/wCzl41TX/CXiCORtO1Bbd4W3RyNHJG8cgDI6OrKykcEV6HXxn/wQD+F37RXwY/4JXfDf4a/tOfDv/hFfEGlpepZaJPp8VrdQaabqRrQ3UcQCrcNGQzkjcSct8xNfZlABRRRQAUUV5f+2tY/tH6r+yZ8QtJ/ZBazX4m3nha6t/BMt/crDFFfyJsSQu5CqV3FgTxuUZoA5L9nv/gpj+yH+1L+1N8RP2O/gh8QLjWvGfwtU/8ACXpFpsgs4GWVYXSO4I2SskpKMFJwysOxr32vxp/4Ix/s7ftj/sv/APBXHxT4V8Z/8E+Z/h94SX4FaJoWr64fHH9q2qyW5803y362cUepXl1cFnmiQq0RlZiWAxX7LUAFFFFABRRRQB8u/Gr/AIK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", "info": {"equation": "17-9=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "8dddf824c2b383b97312332ff8f0d5bb74bfd5114fb7558e53da019589481e5f"} +{"episode": 26772, "episode_seed": 3817881450, "split": "train", "timestamp": "2025-10-28T03:45:07.459922", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3817881450, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 4])", "action": "('move', [0, 0, 5, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "16+8*8=80", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "16+8*8=80", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "01d1756fe58e01916cd5762e5fa664cc8cb00e5201d250d93bde600adcbd5f35"} +{"episode": 26773, "episode_seed": 3909459995, "split": "train", "timestamp": "2025-10-28T03:45:07.502430", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3909459995, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 4])", "action": "('move', [2, 7, 1, 4])", "reward": 0.0, "image": 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", 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", 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o2ywATaGIXA+s68Y/YF8K+G/Av7N1p4L8G6HbaZpOleJddtdN0+zj2RW8KardBUUdgB+J6nJNez1+k5LB08ooJu/uRevmr/hsfjvEuPhmee18TCNlKXXd2SjzStvOduab6ybYV/Or/wAHCfi344a7/wAFIPEfh74rTaiuiaRYWieAra6i2W66a8KM8sAHDBrjzwz8ktHtJ+QAf0VV5p8f/wBjn9l/9qe+0XU/2hfgnofiy48PSO+jzarblmt95UsuVI3KSiko2VOOlc+f5VVzfA+wpz5XdPXZ+T/P1R9p4Sce4Dw74qeZ4zDutB05Q0tzRbs1KN7K+nK9V7sn6P8APH/gn/8AtKeI/Fn7IXg3W/j3+3TreneJZLSaOe0uviBY20sduk8iW25HBcEwLGcv8zZy3JNfdv7MvxA13x7qi6vpfjE+INFnsCTqaXq3EMhXCK6yJ8hYlSDt6/NxkcezR6fYRRrFFYwqqqAqrEAAB0AqVESNdsaBQOgAxXnYPhvGYfFU6s8ZOSi72d7Py+J/lsfK53xBh83x+JxNPCxpKtOUlGNrR5pN2Wi0V7LbYWiiivrD5k+Mv+C9/i745eDP+CbfivUPgbLqML3N/a2niq60uLdLDo0hdbkkj5kQny0dh0R2zhSxH4//APBFz4p+Lvh/+1PcaHZ/Ge88FeGdX0OdvE99a6xb2CyiFGNsrSzAgHznGFXk7j2zj+kPW9L0bW9FvNF8RWFtdafeWskF/a3kavDNC6lXR1bhlKkgg8EE5ryT9jf4PfsN/C7wVq0H7EGj+CF0O91QNrNz4N1SK/jkuljXCSTJJIdyoykIW+UPkAbyT8pnGQV8xzOnXp1+Syt1uv8ADqt766n7Xwn4l4HIfDDMeHqmX+1nWldVLLlXMkv3jab5oct6e+va138pa94Y/ZI+PfiAal8WfiroXxRvNN0e6jtovGHi611RNMs2AN1JFEGCQAgJvn2hgET512ive/8AgkvfeJLr9jqxsb+W8m8O6b4k1ax+Hd1fW6xvP4bhunTTnGMb4/JACOfvRqhyQQxxv+ChX7O/wQ/aB+LPw68O/Gj4Z6b4isbDQ9dubO2vg4WKU3GlKXGxlJ+UkYORz0r2L9jC0tbD9lPwDYWNtHBBB4at4oIIUCpGirhVVRwoAAAA4AFcGQ4Gpg+I8RTnVc3GKu31vZ66vbZanx+Y53Rr8IUsIuaUpTvyytyUlHn0p6t3nzXl7sErWtK916dRRRX3R8IeJfHT4G/sDeOv2gvB3jb9oPw34BuPiTatCvgt/EGoQxajOY5i8SwwtIpuNspJUbXwxOOTXtJs7QnJtY/++BX8yH/BV/4gftC6l/wUk+JGufGLVdYtNe0LxfPB4ZebdBJZaXDOzac1vtxsTyTHKrL95nL53MTX6m/s3ftJT+IPgR4K8U/GH9vHU7fxVeeHrO58QWk/xC0+HZdMgZ1aIL8nPVe3TivhocYYPD4qtCdBq0rXild20vLbX7z9y498Lcx4b4YynHVMxVdVoaQbdqd0p2pau8NdWlHWzt72n6SqqoNqqAB0AFLXlX7Nvi/xH4yF7rMutNqek3UCXFrfifzYpGf5gYnGVZWU5+U4xtx159Vr6rLMfDM8HHERi4p30fk7H4risPLC1nTbvYKKKK7znCv5rP8AguP4u+OXib/gpJ8QLD42y6isek34tPCFtexbIotGA3WxgA+Uo4ZnLD7zs+fmyB/SnXxJ/wAFCP2cfgV8b/2hb3xH8XPhfpfiC98O/DKzl0WbUUdvsrm61NyQoYKwLRocMCPl6cnPyXGlJzyfn5rcsk7d76frc/XfBjjnA8B8UzxmKw/tYzpyhpbmi7p3jfSztyy20d9bWftX/BNTX/jH4o/YN+FmvfH63u4vFlx4TgOpC/tRDOyAsIHkQY2u0AiY5AJLEkAkivca5z4PMW+EnhZmOSfDliST/wBe6V0dfT4eDpYeEG72SV3u7Lc/MM0xkcwzOvio01TVScpKMfhjzSb5Y+SvZeSCiiitjhPgr/g4z8WfHLwr/wAE77lPg9LqMWm6l4ntbHx5cadFkpo8kU+5ZGHMcT3Ato2I+8H2H5WIPxN/wa56/wDGK2/ao8ceG/DsF2/ge68ILP4odbYNBHfRzAWO6Qj5HKvdhVB+YB+DtyP19/bZ0rTtd/ZG+I2h6xZpcWl74Qvbe7t5PuyxPEVZT7EEj8a8l/4J7fAj4O/s+fFPx54N+Cfw707w3plz4f0W6uLTTlbEsxudUXezOzMx2qAMngDjFfGZhhpPi7DT53rFv05U9PR9fmftmQ+ImX5b4QY/hqeDUqtWd1PS3vOPvS688Le415bW1+q6KKK+zPxM+Jvjz4x16L/go3q/h/4n+I7my0uz+G9pJ8NLC8kWGzuhJLK2rzREkedOhhtA45McXOApyfFP2YP2itD1e18eJqP7bupaTodp8TdXh8G2yeNdPsozpu6Ny0SFcvF9qe7CSHO9ApBIwT+gn7Q37LH7PX7V/hiz8G/tE/CjSvFenade/a7G31JGzbzbChdHRlZcqxBAODxkHAx1/h3wl4X8JeH7Hwp4Y8PWdhpmmWcVpp1haW6pFbQRqEjjRQMKqqAABwAK+MxPDGMr5nVxMMS4KXa9/R6rRdD7qvxLks8lhRjhr1uWEJXUVCKgrc8HrJzqWTndKz5tZcy5fCv2ZviXqvjrWdNl8KfE2TxbpcUbW13qa6ql6jhFOS8kXyGQEjJ4JJGa+hqbHHHEu2KNVHooxTq97KMuq5Zh3TqVXUbbd359N3+Z8fjMTHE1FKMFHS1kFeHf8FJvEnxU8IfsPfELxF8GbzVrXXbbSoc3mg2/m3tpYtdQrfTwLgnzY7M3EikAspQEAkCvcaOvWvQr0nWoTpp25k1dbq6tdehpleMjl2Z0MXKmqipzjJxe0uWSfK99Haz0eh+Ynx9+MvgvwD4j+BmlfB79oGPw3Dfa6tsl1omv2kYl8M/Y5BPI00hYJFugtwsgPzOpUEnivUfDfxF+GPi7xTp9p/w1MfGeoxSSNpGmah42tL5o5TE6tJFFFhi/lNIuecKzcdx9OfA39jL9lj9mnxBrvir4D/A3QPDGoeJXDa1daZalWuMOzhRkkRpudjsTavTj5Rj0pbW1RgyW0YI6EIK+Go8HY1Yb2UsW0ne8Um4/+lK/nofTZvxBk9StTjgaDcYL45qMZybbeqjzJct+Ve87pX0vyrjP2ePBLeAfhdbaPIJw91qF9qEiXIAZGurqW4K4wMAGTAB5xjOTXb0UV9vhaCwuGhRTuopL7lY+Pq1HVqym+rbCiiitzMKKKKACiiigD4y/4L3+L/jn4M/4Jt+K9Q+Bk2owyXN/a2niq60uLdLBo0hdbkkj5kQny0dl6I7ZwpYj8hP+CLfxj8e/D79pi58HWfx11LwV4P1jSJ5/FEtrrsNhDK8Mb/ZizzZXcJJABt+YhiOmcf0gaxpGleINJutB17TYL2xvrZ7e9s7qISRTxOpV43VshlZSQQeCCRXA/s9fsj/s2fso6DqHhn9nj4PaR4VstVu1utSi0+JibiVVCKXeRmYgDoM4GWIALHPyub8P4rMsxhiaddwSVtL3XpZre+uq+Z+z8K+KGV8P+GuYcNVsCqlTESbjPTl95RV5315qfLena+ttrXfzL4E8dfD3xl4vh/sf9og+O9bitJI7G3uvFttqM9vCzxtKIo4cEBmjh3HB+4nTv9cfBPwSnw4+Enh7wNHJMw0zSooc3BG/gc5wAM8+ldKltbxNujgRT6qoFPrpyfIp5ZialepWdSUkldrt53dz8pxmPjiqcYRgopdv+GQUUUV9CeceZfFH9jT9lr41fFfQvjl8VvgfoOu+LfDXlf2Jrl/bFprbypDLGOCA4SQllDhgCTjGa9JNnaE5NrH/AN8CpKKiNKnCTlGKTe+m/r3OqvjsbiqVOlWqylGmrRTk2ore0U3aKvrZWEVVQbVUADoAKWiirOUKKKKACvCP2mPBEmv+OWki0N/N1fQl0wXlujF5UDTEJ3GVM0jDj+Ik5Fe70V5eb5Ys2wTw7nyptO++x1YPFPCVvaJXM7whoUfhbwnpfhmKR3XTtOgtVdyCzCONUBOOM8dq0aKK9NKysczd2FFFFMRzXxj0FPFHwt13w7No6ahHe6dJDLZuGIlRhhhheSducAd8Vwf7MXgqSy8Q6/8AEScTq+pWNlp6rIAEZbeS6k3LxknNywJzj5QOCDXsNFeXWyyNbNaWNc37iat0d763+f5HVDFOGElQt8TTuFFFFeocoUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFQaraS6hplzYQ3LQvPA8aTJ1jLKQGHuM5oA+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": "26-9=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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", 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o2ywATaGIXA+s68Y/YF8K+G/Av7N1p4L8G6HbaZpOleJddtdN0+zj2RW8KardBUUdgB+J6nJNez1+k5LB08ooJu/uRevmr/hsfjvEuPhmee18TCNlKXXd2SjzStvOduab6ybYV/Or/wAHCfi344a7/wAFIPEfh74rTaiuiaRYWieAra6i2W66a8KM8sAHDBrjzwz8ktHtJ+QAf0VV5p8f/wBjn9l/9qe+0XU/2hfgnofiy48PSO+jzarblmt95UsuVI3KSiko2VOOlc+f5VVzfA+wpz5XdPXZ+T/P1R9p4Sce4Dw74qeZ4zDutB05Q0tzRbs1KN7K+nK9V7sn6P8APH/gn/8AtKeI/Fn7IXg3W/j3+3TreneJZLSaOe0uviBY20sduk8iW25HBcEwLGcv8zZy3JNfdv7MvxA13x7qi6vpfjE+INFnsCTqaXq3EMhXCK6yJ8hYlSDt6/NxkcezR6fYRRrFFYwqqqAqrEAAB0AqVESNdsaBQOgAxXnYPhvGYfFU6s8ZOSi72d7Py+J/lsfK53xBh83x+JxNPCxpKtOUlGNrR5pN2Wi0V7LbYWiiivrD5k+Mv+C9/i745eDP+CbfivUPgbLqML3N/a2niq60uLdLDo0hdbkkj5kQny0dh0R2zhSxH4//APBFz4p+Lvh/+1PcaHZ/Ge88FeGdX0OdvE99a6xb2CyiFGNsrSzAgHznGFXk7j2zj+kPW9L0bW9FvNF8RWFtdafeWskF/a3kavDNC6lXR1bhlKkgg8EE5ryT9jf4PfsN/C7wVq0H7EGj+CF0O91QNrNz4N1SK/jkuljXCSTJJIdyoykIW+UPkAbyT8pnGQV8xzOnXp1+Syt1uv8ADqt766n7Xwn4l4HIfDDMeHqmX+1nWldVLLlXMkv3jab5oct6e+va138pa94Y/ZI+PfiAal8WfiroXxRvNN0e6jtovGHi611RNMs2AN1JFEGCQAgJvn2hgET512ive/8AgkvfeJLr9jqxsb+W8m8O6b4k1ax+Hd1fW6xvP4bhunTTnGMb4/JACOfvRqhyQQxxv+ChX7O/wQ/aB+LPw68O/Gj4Z6b4isbDQ9dubO2vg4WKU3GlKXGxlJ+UkYORz0r2L9jC0tbD9lPwDYWNtHBBB4at4oIIUCpGirhVVRwoAAAA4AFcGQ4Gpg+I8RTnVc3GKu31vZ66vbZanx+Y53Rr8IUsIuaUpTvyytyUlHn0p6t3nzXl7sErWtK916dRRRX3R8IeJfHT4G/sDeOv2gvB3jb9oPw34BuPiTatCvgt/EGoQxajOY5i8SwwtIpuNspJUbXwxOOTXtJs7QnJtY/++BX8yH/BV/4gftC6l/wUk+JGufGLVdYtNe0LxfPB4ZebdBJZaXDOzac1vtxsTyTHKrL95nL53MTX6m/s3ftJT+IPgR4K8U/GH9vHU7fxVeeHrO58QWk/xC0+HZdMgZ1aIL8nPVe3TivhocYYPD4qtCdBq0rXild20vLbX7z9y498Lcx4b4YynHVMxVdVoaQbdqd0p2pau8NdWlHWzt72n6SqqoNqqAB0AFLXlX7Nvi/xH4yF7rMutNqek3UCXFrfifzYpGf5gYnGVZWU5+U4xtx159Vr6rLMfDM8HHERi4p30fk7H4risPLC1nTbvYKKKK7znCv5rP8AguP4u+OXib/gpJ8QLD42y6isek34tPCFtexbIotGA3WxgA+Uo4ZnLD7zs+fmyB/SnXxJ/wAFCP2cfgV8b/2hb3xH8XPhfpfiC98O/DKzl0WbUUdvsrm61NyQoYKwLRocMCPl6cnPyXGlJzyfn5rcsk7d76frc/XfBjjnA8B8UzxmKw/tYzpyhpbmi7p3jfSztyy20d9bWftX/BNTX/jH4o/YN+FmvfH63u4vFlx4TgOpC/tRDOyAsIHkQY2u0AiY5AJLEkAkivca5z4PMW+EnhZmOSfDliST/wBe6V0dfT4eDpYeEG72SV3u7Lc/MM0xkcwzOvio01TVScpKMfhjzSb5Y+SvZeSCiiitjhPgr/g4z8WfHLwr/wAE77lPg9LqMWm6l4ntbHx5cadFkpo8kU+5ZGHMcT3Ato2I+8H2H5WIPxN/wa56/wDGK2/ao8ceG/DsF2/ge68ILP4odbYNBHfRzAWO6Qj5HKvdhVB+YB+DtyP19/bZ0rTtd/ZG+I2h6xZpcWl74Qvbe7t5PuyxPEVZT7EEj8a8l/4J7fAj4O/s+fFPx54N+Cfw707w3plz4f0W6uLTTlbEsxudUXezOzMx2qAMngDjFfGZhhpPi7DT53rFv05U9PR9fmftmQ+ImX5b4QY/hqeDUqtWd1PS3vOPvS688Le415bW1+q6KKK+zPxM+Jvjz4x16L/go3q/h/4n+I7my0uz+G9pJ8NLC8kWGzuhJLK2rzREkedOhhtA45McXOApyfFP2YP2itD1e18eJqP7bupaTodp8TdXh8G2yeNdPsozpu6Ny0SFcvF9qe7CSHO9ApBIwT+gn7Q37LH7PX7V/hiz8G/tE/CjSvFenade/a7G31JGzbzbChdHRlZcqxBAODxkHAx1/h3wl4X8JeH7Hwp4Y8PWdhpmmWcVpp1haW6pFbQRqEjjRQMKqqAABwAK+MxPDGMr5nVxMMS4KXa9/R6rRdD7qvxLks8lhRjhr1uWEJXUVCKgrc8HrJzqWTndKz5tZcy5fCv2ZviXqvjrWdNl8KfE2TxbpcUbW13qa6ql6jhFOS8kXyGQEjJ4JJGa+hqbHHHEu2KNVHooxTq97KMuq5Zh3TqVXUbbd359N3+Z8fjMTHE1FKMFHS1kFeHf8FJvEnxU8IfsPfELxF8GbzVrXXbbSoc3mg2/m3tpYtdQrfTwLgnzY7M3EikAspQEAkCvcaOvWvQr0nWoTpp25k1dbq6tdehpleMjl2Z0MXKmqipzjJxe0uWSfK99Haz0eh+Ynx9+MvgvwD4j+BmlfB79oGPw3Dfa6tsl1omv2kYl8M/Y5BPI00hYJFugtwsgPzOpUEnivUfDfxF+GPi7xTp9p/w1MfGeoxSSNpGmah42tL5o5TE6tJFFFhi/lNIuecKzcdx9OfA39jL9lj9mnxBrvir4D/A3QPDGoeJXDa1daZalWuMOzhRkkRpudjsTavTj5Rj0pbW1RgyW0YI6EIK+Go8HY1Yb2UsW0ne8Um4/+lK/nofTZvxBk9StTjgaDcYL45qMZybbeqjzJct+Ve87pX0vyrjP2ePBLeAfhdbaPIJw91qF9qEiXIAZGurqW4K4wMAGTAB5xjOTXb0UV9vhaCwuGhRTuopL7lY+Pq1HVqym+rbCiiitzMKKKKACiiigD4y/4L3+L/jn4M/4Jt+K9Q+Bk2owyXN/a2niq60uLdLBo0hdbkkj5kQny0dl6I7ZwpYj8hP+CLfxj8e/D79pi58HWfx11LwV4P1jSJ5/FEtrrsNhDK8Mb/ZizzZXcJJABt+YhiOmcf0gaxpGleINJutB17TYL2xvrZ7e9s7qISRTxOpV43VshlZSQQeCCRXA/s9fsj/s2fso6DqHhn9nj4PaR4VstVu1utSi0+JibiVVCKXeRmYgDoM4GWIALHPyub8P4rMsxhiaddwSVtL3XpZre+uq+Z+z8K+KGV8P+GuYcNVsCqlTESbjPTl95RV5315qfLena+ttrXfzL4E8dfD3xl4vh/sf9og+O9bitJI7G3uvFttqM9vCzxtKIo4cEBmjh3HB+4nTv9cfBPwSnw4+Enh7wNHJMw0zSooc3BG/gc5wAM8+ldKltbxNujgRT6qoFPrpyfIp5ZialepWdSUkldrt53dz8pxmPjiqcYRgopdv+GQUUUV9CeceZfFH9jT9lr41fFfQvjl8VvgfoOu+LfDXlf2Jrl/bFprbypDLGOCA4SQllDhgCTjGa9JNnaE5NrH/AN8CpKKiNKnCTlGKTe+m/r3OqvjsbiqVOlWqylGmrRTk2ore0U3aKvrZWEVVQbVUADoAKWiirOUKKKKACvCP2mPBEmv+OWki0N/N1fQl0wXlujF5UDTEJ3GVM0jDj+Ik5Fe70V5eb5Ys2wTw7nyptO++x1YPFPCVvaJXM7whoUfhbwnpfhmKR3XTtOgtVdyCzCONUBOOM8dq0aKK9NKysczd2FFFFMRzXxj0FPFHwt13w7No6ahHe6dJDLZuGIlRhhhheSducAd8Vwf7MXgqSy8Q6/8AEScTq+pWNlp6rIAEZbeS6k3LxknNywJzj5QOCDXsNFeXWyyNbNaWNc37iat0d763+f5HVDFOGElQt8TTuFFFFeocoUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFQaraS6hplzYQ3LQvPA8aTJ1jLKQGHuM5oA+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+ksNKtGnurlYo2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"info": {"equation": "26-9=17", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "0d5e018008ddb5195a8a93f83d5e750a2ec84da2061ba8e745d968ad7ef6ac64"} +{"episode": 26774, "episode_seed": 1098278028, "split": "train", "timestamp": "2025-10-28T03:45:07.556311", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1098278028, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 4])", "action": "('move', [5, 6, 1, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "260/20=13", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 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": "260/20=13", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "8fc2ff24606f8aa5af7f05040265ec20b6592c281f659a5d5bdadb69819d2910"} +{"episode": 26775, "episode_seed": 3764497267, "split": "train", "timestamp": "2025-10-28T03:45:07.624138", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3764497267, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 0, 5, 0])", "action": "('move', [0, 0, 5, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "18+4*7=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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", "info": {"equation": "18+4*7=46", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "39904dd079813ea029825d59b1a7da83e35c30435c38a5e09f8805d3aa558439"} +{"episode": 26776, "episode_seed": 3689056439, "split": "train", "timestamp": "2025-10-28T03:45:07.703507", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3689056439, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 8, 4])", "action": "('move', [0, 0, 8, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "16+0*4=16", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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"info": {"equation": "16+0*4=16", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "64791327da52e9e001ac27507719143c204eb9a1198ffc90c59ffc5b4b90c2fd"} +{"episode": 26777, "episode_seed": 1622695358, "split": "train", "timestamp": "2025-10-28T03:45:07.784626", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1622695358, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 5, 4, 8])", "action": "('move', [3, 5, 4, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "8+13*6=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": "8+13*6=86", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "f9dd72f503e2febef7b93f3d85a7034a2c8d8e2b86d00943e6d6dd4a24bed367"} +{"episode": 26778, "episode_seed": 3295107983, "split": "train", "timestamp": "2025-10-28T03:45:07.846163", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3295107983, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 3, 4])", "action": "('move', [1, 1, 3, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "15*6=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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p/wAT59PuJJtC8PeJ/GNpqlulw0ZDTJZrhJZRHvAZ1farPjGSa+nf2WfgZ+wL8MvGPjLVP2RPDPgG31u6vFi8anwlfw3M1vL5krLDMqSP9m+cS/u8IMoePkGOU/4KQfBX4UfHDQ/h74B+LXgOx13RpPGM872F2GVDJHpV8UbKFWyCT3r83xPDWKwWT1KjxTcUm+VX5Xr6/fpuftXH3iRgeM+OqONo4aeEUYRg5WXttm27JxvpLliudXju0nZYn/BJW9uk8A/EXwn4Pv7i7+Geg/EKex+F07kSWyWIt4WuoLSbJ861ivmuoo2ywATaGIXA+s68Y/YF8K+G/Av7N1p4L8G6HbaZpOleJddtdN0+zj2RW8KardBUUdgB+J6nJNez191ksHTyigm7+5F6+av+Gx+Q8S4+GZ57XxMI2Updd3ZKPNK28525pvrJthSOiSIY5FDKwwysMgilriPjV8Q4fCmhvoNjI39o6hCVh2gfu0Jwzn9QPf6V0Y7GUMBhZ16r92K+/svV7Hk0KM8RVVOG7Pl39rbx9/wrbSNTsPhjDdXmravfTWHhm3s7eKSYOI3lmljjeWNZBDDHNIAXAYxoDjdX1N+zrovwy8P/AAI8I6X8GZIpPCy+H7V9DnhKn7RA8YcTMR955Nxd26szsTyTXzv8E/gzqHxgfxF+0hfW0qrpxuNE8A27uObWGYLf3W3ywytPPDsT5jmO2jYYEhB7z9ig6x4En8QfCSYxv4fOoy6t4T2yIpso52ElzZeWEXCrcPLKhy/yTbcr5YB+H4am8ux3JiIKH1hc0X837v3Pb07nuZmlicPenK/s3Z/5/wBeZ7/RRRX6GfOnxl/wXv8AF3xz8G/8E2/Fd/8AAyXUYZLm/tbTxVc6XFulh0aQutySR8yIT5aOy9Eds4UsR+P3/BFz4qeLvh/+1RcaFZ/Ge88FeGdX0KdvE99a6zb2CyiFGNsrSzAjPnOAFXk7j2zj+hP9qWCG6/Zj+I1rcRB45PAerq6MMhgbKUEGvnb9gH9nT4Gfs+/HLV9C+C3ww0vw7a6l4LS4v4rFGJuJRdhVZmdmY4HAGcDJwOTn4TiDAVcVxDhowquDmmk19nlTemq3P3DhHxHy7IvC3MuH6uCVSpWldT0s+blV5315qduaFr622td+Y6/4Y/ZH+PmvjUfi18VdC+KV3puj3UdtF4w8XWuqR6ZZsAbmWKIMEgyAu+faGUInzrtFfQP/AASm17xnr/7I1q/iPU9Tv9Gs/E+rWfgHUdXTE934ciunTT5N3WRPJAVJDy0aockEMcD/AIKFfs7/AAQ/aB+LPw68O/Gj4Z6b4isbDQ9dubO2vg4WKU3GlKXGxlJ+UkYORz0r2L9jC0tbD9lPwDYWNtHBBB4at4oIIUCpGirhVVRwoAAAA4AFPIcDVwfEeIpzqubjFXb63s9dXtstT4rMs7o1+EKWEXNKUp3tK3JSUefSnq3efNeXuwSta0r3Xp1FFFfdHwh4l8dPgb+wN46/aC8HeNv2g/DfgG4+JNq0K+C38QahDFqM5jmLxLDC0im42yklRtfDE45Ne0mztCcm1j/74FfzIf8ABV/4gftC6l/wUk+JGufGLVdYtNe0LxfPB4ZebdBJZaXDOzac1vtxsTyTHKrL95nL53MTX6m/s3ftJT+IPgR4K8U/GH9vHU7fxVeeHrO58QWk/wAQtPh2XTIGdWiC/Jz1Xt04r4aHGGDw+KrQnQatK14pXdtLy21+8/cuPfC3MeG+GMpx1TMVXVaGkG3andKdqWrvDXVpR1s7e9p+kqqqDaqgAdABS15V+zb4v8R+Mhe6zLrTanpN1Alxa34n82KRn+YGJxlWVlOflOMbcdefVa+qyzHwzPBxxEYuKd9H5Ox+K4rDywtZ0272Cvzj/wCDmTxd8cfDf7E2i6Z8NptRg8L6t4pW28eT2Efym32breKZxykTzAegZgik8gH9HK534t+F/hj41+GGv+FvjTp2lXfhK80mdPEcOtsq2n2PYTK0rOQEVVBYuSNu3dkYzTzLCyxuAqUIy5XJWv8A107+R9BwTntHhjizB5pVo+2jRmpOHfpp/eV7x/vJH4Ff8EMPi94o8G+PPGng7Vv2gb7wP4Pn0dL2b7P4gttOS41MTRRxfPMCXPk+d8q8YAJ/hr7y8e/D79h/41WviPxt8aPH3h34hzxeHxBq/iDxP4ottTuNK05WJUROGC2iiQlgyBSztgk5xX2z+yn8Mf2Ufhr8IYNA/Y/0jwpF4Mlvp7iF/Cd5Hd2k1yWCyuZkd/MfKhSSxICBeAoA+bv+Cgv7NfwF+NX7Ql94h+LHwq0nXrzw98M7ObRpr+NiLZzdam5IUMFcFo0OGDD5enJz+d5rw/icuyb2ksS5RVvdV+XV9NfPsfpHEHHuC4n8Ra2Z06NTBxlo3BL23upL3lzQXNJpX958umkmtfcv+Cc2ufFTxJ+w/wDDXWfjQt9/wkM3hxPtD6paCC5ltw7raySxgDbI9sIXbIByxyAciva65z4PMW+EnhZmOSfDliST/wBe6V0dfpmHg6WHhBu9kld7uy3Z+OZni44/Mq2JjBQVScpKMdo8zb5V5K9l5BX5TW3xX8TR/sF+LvF3jn4g6pB8XbnU9QOsxTiI6tD4zF432SwjtTn5hLBbRwwqpzbxoVBX5j+rNfAfx8/Zy+Beu/ta+Mf2gda+F2l3PjTTfiX4disPEU6M08CrDoqrtG7ZkK7ANtyM8HIFfJ8ZYeVXD0JKbVppaf3uvqraerPquDcyyvB+2pY2k5K8KiaUW26fN+7fNa0KnP7zV2uWL5JbFD/gvt41/aX0H/glrptz4RTUbWbV9R0y0+KL6dbjMNhLay+ekhXPlxNd+RG204IfYTtYg/Hn/Brnr/xitv2qPHHhvw7Bdv4HuvCCz+KHW2DQR30cwFjukI+Ryr3YVQfmAfg7cj9ff22dK07Xf2RviNoesWaXFpe+EL23u7eT7ssTxFWU+xBI/GvJf+Ce3wI+Dv7PnxT8eeDfgn8O9O8N6Zc+H9Furi005WxLMbnVF3szszMdqgDJ4A4xU47Cy/1twsud6xf/AJKn+fX5n3GS+I+X4HwkzHhyWCi6lad1NW5bScXeS35oW9y3lty6/VdFFFfaH4gFFFFAHzvY/Cr+2fjdDYnSJbFLLxe+uzC2UhDIJpJi5LA/K7sSfUk4xX0RRRXlZVlccrhUipuXPJy18+n/AATqxeKeKlFtWskgrwP/AIKi+Kvjf4I/YA+KPir9nN9QTxfZeHd+nTaTDvuYITNGLqWIdQ6WxncMPmUruXkCvfKOvWvQr0nWoSpp25k1dbq63XobZTjoZZmtDGSpqoqU4zcJfDJRknyy8pWs/Jn8wX/BK74t/Ef4aftk+HIvCHxe1HwjpuvStaeLtRtNXjtFk08Ayv5kk3yDDIpBPzZ4HJwf2T8N/EX4Y+LvFOn2n/DUx8Z6jFJI2kaZqHja0vmjlMTq0kUUWGL+U0i55wrNx3H078Dv2M/2Wf2avEOveK/gR8DdB8Mah4mkDa3daZalWuMOzhRuJEabnY7E2r04+UY9JW1tUYMltGCOhCCvhqPBuNjhvZSxbSd7xSbj/wClL56H6p4oeJuWcdcSxzHCYL2cYwjC8uXnk1dtuya0vyx1eiT0vZcZ+zx4JbwD8LrbR5BOHutQvtQkS5ADI11dS3BXGBgAyYAPOMZya7eiivt8LQWFw0KKd1FJfcrH4/VqOrVlN9W2Fcj8RvhFpfxD1C11K41OW1kgXy5TFGG8yPJOOehBJweRyeDXXUVOLweGx1B0a8eaL6enoOjWq0J89N2ZFa2VtZ2Uen28QWGKIRog6BQMAflXJeCPgzo3gnxNP4jtdQkn3Ky2sLxgCBWxnkfePYdOD3PNdlRU1sDhK9SnUqQTdPWPkEK9WnGUYvSW/mFFFFdZkfNP/BVjxD4x8Pfsx2P9iapqGn+Hb/xzo9l8RtR0xQHtfDss+27Z36xQsfKjlkH3YpHyQu5h8yfGf46aR4b/AGv/AIceHfC37ST+FrW+8MavL4vOkeIbO1i+w+XFJYySTSZ2lp2HlgH50ZiAVBI/SjWNH0nxDpF1oGvaZBe2N9bPb3tndRCSKeJ1KvG6sCGVlJBB4IJFcF+z1+yP+zZ+yjoOoeGv2ePg9o/hWy1W7W51KPT4mLXMqrsUu8jMxCjOFzgbmIALHPyub8P4nMsyhiaddwSVut1v8Oq3vrqvmfbZRxDk+CySWHxGH56sfaKOkeSXtIqPNNv3lKn8ULKSb5fg5W5fMvgTx18PfGXi+H+x/wBog+O9bitJI7G3uvFttqM9vCzxtKIo4cEBmjh3HB+4nTv9cfBPwSnw4+Enh7wNHJMw0zSooc3BG/gc5wAM8+ldKltbxNujgRT6qoFPrpyfIp5ZialepWdSUkldrt53dz5rGY+OKpxhGCil2/4ZBRRRX0J5x5l8Uf2NP2WvjV8V9C+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+Qhw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"info": {"equation": "15*6=90", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "69cb46f411ce222762764b987b16edc12fef0db689b0a7cd9b29fc11bfb7da2a"} +{"episode": 26779, "episode_seed": 2519339857, "split": "train", "timestamp": "2025-10-28T03:45:07.910981", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2519339857, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 1])", "action": "('move', [2, 8, 0, 1])", "reward": 0.0, "image": 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", 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Ls3pZjhsHRjKc3CLk5z+L3+X92vel+7hytxu1dzm+WN7BXgf/AAVF8VfG/wAEfsAfFHxV+zm+oJ4vsvDu/TptJh33MEJmjF1LEOodLYzuGHzKV3LyBXvlNnJELleu04/Kvra9J1qEqaduZNXW6ut16HzOU46GWZrQxkqaqKlOM3CXwyUZJ8svKVrPyZ/L9/wSz+Jfjf4dftq+Frvwt8T7vwpa6s8ll4n1i21KG1I01gJZQ00wKoC0UZz1yoA5OD+vOtWn7M/x78RaNpXxM+Oun/E+fT7iSbQvD3ifxjaapbpcNGQ0yWa4SWUR7wGdX2qz4xkmtD/gnd+zd8B/g58WfAHi34X/AAs0rRdT8SeAbuXXb61jYyXjeTYyfMXZsDe7NtXAyenAx7F/wUg+Cvwo+OGh/D3wD8WvAdjrujSeMZ53sLsMqGSPSr4o2UKtkEnvX5RhspxFXh+piVXkoxv7mtnb5/oft3iH4i5bxhx3QxuGoSw8VCMHNWdX7V3ZOKejcUudXju1eyxP+CSt7dJ4B+IvhPwff3F38M9B+IU9j8Lp3IktksRbwtdQWk2T51rFfNdRRtlgAm0MQuB9Z14x+wL4V8N+Bf2brTwX4N0O20zSdK8S67a6bp9nHsit4U1W6Coo7AD8T1OSa9nr9JyWDp5RQTd/ci9fNX/DY/HeJcfDM89r4mEbKUuu7slHmlbec7c031k2wpHRJEMcihlYYZWGQRS1xHxq+IcPhTQ30Gxkb+0dQhKw7QP3aE4Zz+oHv9K6MdjKGAws69V+7Fff2Xq9jyaFGeIqqnDdny7+1t4+/wCFbaRqdh8MYbq81bV76aw8M29nbxSTBxG8s0scbyxrIIYY5pAC4DGNAcbq+pv2ddF+GXh/4EeEdL+DMkUnhZfD9q+hzwlT9ogeMOJmI+88m4u7dWZ2J5Jr53+CfwZ1D4wP4i/aQvraVV043GieAbd3HNrDMFv7rb5YZWnnh2J8xzHbRsMCQg95+xQdY8CT+IPhJMY38PnUZdW8J7ZEU2Uc7CS5svLCLhVuHllQ5f5JtuV8sA/D8NTeXY7kxEFD6wuaL+b937nt6dz3MzSxOHvTlf2bs/8AP+vM9/ooor9DPnT4y/4L3+Lvjn4N/wCCbfiu/wDgZLqMMlzf2tp4qudLi3Sw6NIXW5JI+ZEJ8tHZeiO2cKWI/H7/AIIufFTxd8P/ANqi40Kz+M954K8M6voU7eJ7611m3sFlEKMbZWlmBGfOcAKvJ3HtnH9Cf7UsEN1+zH8RrW4iDxyeA9XV0YZDA2UoINfO37AP7OnwM/Z9+OWr6F8Fvhhpfh211LwWlxfxWKMTcSi7CqzM7MxwOAM4GTgcnPwnEGAq4riHDRhVcHNNJr7PKm9NVufuHCPiPl2ReFuZcP1cEqlStK6npZ83KrzvrzU7c0LX1tta78x17wx+yR8e/EA1L4s/FXQvijeabo91HbReMPF1rqiaZZsAbqSKIMEgBATfPtDAInzrtFe9/wDBJe+8SXX7HVjY38t5N4d03xJq1j8O7q+t1jefw3DdOmnOMY3x+SAEc/ejVDkghjjf8FCv2d/gh+0D8Wfh14d+NHwz03xFY2Gh67c2dtfBwsUpuNKUuNjKT8pIwcjnpXsX7GFpa2H7KfgGwsbaOCCDw1bxQQQoFSNFXCqqjhQAAABwAKeQ4Gpg+I8RTnVc3GKu31vZ66vbZanxWY53Rr8IUsIuaUpTvyytyUlHn0p6t3nzXl7sErWtK916dRRRX3R8IeJfHT4G/sDeOv2gvB3jb9oPw34BuPiTatCvgt/EGoQxajOY5i8SwwtIpuNspJUbXwxOOTXtJs7QnJtY/wDvgV/Mh/wVf+IH7Qupf8FJPiRrnxi1XWLTXtC8XzweGXm3QSWWlwzs2nNb7cbE8kxyqy/eZy+dzE1+pv7N37SU/iD4EeCvFPxh/bx1O38VXnh6zufEFpP8QtPh2XTIGdWiC/Jz1Xt04r4aHGGDw+KrQnQatK14pXdtLy21+8/cuPfC3MeG+GMpx1TMVXVaGkG3andKdqWrvDXVpR1s7e9p+kqqqDaqgAdABS15V+zb4v8AEfjIXusy602p6TdQJcWt+J/NikZ/mBicZVlZTn5TjG3HXn1Wvqssx8MzwccRGLinfR+TsfiuKw8sLWdNu9gooorvOcK/ms/4Lj+Lvjl4m/4KSfECw+NsuorHpN+LTwhbXsWyKLRgN1sYAPlKOGZyw+87Pn5sgf0p18Sf8FCP2cfgV8b/ANoW98R/Fz4X6X4gvfDvwys5dFm1FHb7K5utTckKGCsC0aHDAj5enJz8lxpSc8n5+a3LJO3e+n63P13wY45wPAfFM8ZisP7WM6coaW5ou6d430s7csttHfW1n7V/wTU1/wCMfij9g34Wa98fre7i8WXHhOA6kL+1EM7ICwgeRBja7QCJjkAksSQCSK9xrnPg8xb4SeFmY5J8OWJJP/XuldHX0+Hg6WHhBu9kld7uy3PzDNMZHMMzr4qNNU1UnKSjH4Y80m+WPkr2Xkgr+VD43fGP9qrTf2z9e+MPxG8Ua7pXxZ07xg811fS/uLuxv4pNiIq9EVAqoqD5AgCjK1/VfXwF8ff2cfgXr/7WnjH4/wCufC7S7rxnp3xK8Ow2HiGeNmngRYdFVdoLbMhXYBtuRng5xXyfGWHlVw9CSm1aaX/gXX1VtPVn634NeIOX8BYrMHisIq/tqVltdOLfuu//AC7nze/u/djoyno/xj+HfiPwVYWHxM/bcm1JrvS4Br2j6l8RrBre4kaNTNDIiYyhbcCoI44zX1P+y/4NNtruvfEl2mzqthZWMe4Dy3SCS5k3rxk5NyQTkj5R6GvXvsVn/wA+kX/fsVIABwBXTgOG62EzCGKrYmVRxTsmu6tu5M/LcXmkMRRlThSUFJ3023vtYKKKK+pPIPwl/wCDnnxd8cbr9rvw14J8VT6jH4DtfC0d14St2j22k10zMt5IpHEkoIiVs8qpXgBst6X/AMElP2ivFOqfsfWFj8af2z9Z8PtpOrTad4Z0ubxxZ2Zh0qKKFYlWOUF9gfzlUt/CoA+ULX6oftDfssfs9ftX+GLPwb+0T8KNK8V6bp179rsbfUkbNvNsZC6MhVlyrEEA4PGQcDHX+HvCXhfwloFj4V8MeH7Ow03TLOK00+xtbdUitoI1CRxooGFVVAAA6AV8ZieGMbXzOriYYlwUu17+j1Wi6H7XmviplWYeGOA4YjgEqtCV3N8vLpf3o6N8873m3bW+99Plr9n7wx4O+JutaDceCPGI16w07xH/AGrda1ZanHefaLpJHmkaaZMqWeRyWxg5bjFfWtNjjjiXbFGqj0UYp1e3kuU/2Rh5U3Uc3KTk21be3m+3c/IMbi/rlRS5bJK1grw7/gpN4k+KnhD9h74heIvgzeata67baVDm80G3829tLFrqFb6eBcE+bHZm4kUgFlKAgEgV7jR1616dek61CdNO3MmrrdXVrr0KyvGRy7M6GLlTVRU5xk4vaXLJPle+jtZ6PQ/MT4+/GXwX4B8R/AzSvg9+0DH4bhvtdW2S60TX7SMS+GfscgnkaaQsEi3QW4WQH5nUqCTxXqPhv4i/DHxd4p0+0/4amPjPUYpJG0jTNQ8bWl80cpidWkiiiwxfymkXPOFZuO4+nPgb+xl+yx+zT4g13xV8B/gboHhjUPErhtautMtSrXGHZwoySI03Ox2JtXpx8ox6UtraowZLaMEdCEFfDUeDsasN7KWLaTveKTcf/Slfz0Pps34gyepWpxwNBuMF8c1GM5NtvVR5kuW/Kved0r6X5Vxn7PHglvAPwuttHkE4e61C+1CRLkAMjXV1LcFcYGADJgA84xnJrt6KK+3wtBYXDQop3UUl9ysfH1ajq1ZTfVthXI/Eb4RaX8Q9QtdSuNTltZIF8uUxRhvMjyTjnoQScHkcng111FTi8HhsdQdGvHmi+np6Do1qtCfPTdmRWtlbWdlHp9vEFhiiEaIOgUDAH5VyXgj4M6N4J8TT+I7XUJJ9ystrC8YAgVsZ5H3j2HTg9zzXZUVNbA4SvUp1KkE3T1j5BCvVpxlGL0lv5hRRRXWZHzT/AMFWPEPjHw9+zHY/2Jqmoaf4dv8Axzo9l8RtR0xQHtfDss+27Z36xQsfKjlkH3YpHyQu5h8yfGf46aR4b/a/+HHh3wt+0k/ha1vvDGry+LzpHiGztYvsPlxSWMkk0mdpadh5YB+dGYgFQSP0o1jR9J8Q6RdaBr2mQXtjfWz297Z3UQkinidSrxurAhlZSQQeCCRXBfs9fsj/ALNn7KOg6h4a/Z4+D2j+FbLVbtbnUo9PiYtcyquxS7yMzEKM4XOBuYgAsc/K5vw/icyzKGJp13BJW63W/wAOq3vrqvmfbZRxDk+CySWHxGH56sfaKOkeSXtIqPNNv3lKn8ULKSb5fg5W5fMvgTx18PfGXi+H+x/2iD471uK0kjsbe68W22oz28LPG0oijhwQGaOHccH7idO/1x8E/BKfDj4SeHvA0ckzDTNKihzcEb+BznAAzz6V0qW1vE26OBFPqqgU+unJ8inlmJqV6lZ1JSSV2u3nd3PmsZj44qnGEYKKXb/hkFFFFfQnnHmXxR/Y0/Za+NXxX0L45fFb4H6Drvi3w15X9ia5f2xaa28qQyxjggOEkJZQ4YAk4xmvSTZ2hOTax/8AfAqSiojSpwk5Rik3vpv69zqr47G4qlTpVqspRpq0U5NqK3tFN2ir62VhFVUG1VAA6AClooqzlCiiigArwj9pjwRJr/jlpItDfzdX0JdMF5boxeVA0xCdxlTNIw4/iJORXu9FeXm+WLNsE8O58qbTvvsdWDxTwlb2iVzO8IaFH4W8J6X4Zikd107ToLVXcgswjjVATjjPHatGiivTSsrHM3dhX5PXvxo1LRP+Cevjn4h/FP4q32l/FAXWqTeJbi+mhj1Kx8XJcu1varA2QhSSC3SGILj7PEjKCo3H9Ya8y1b9jP8AZa139oK2/aq1j4H6DcfEKzRFt/FMlsTcKViMSsRnazrGdocqWACgEbRj5/iDJq+cQpKnU5OV3/4Pqraer1R9dwtneUZVGrDH0XNOUJrlUW26fP8Au3zWtCpz+81drli+SWx8ofD/APaI8NWGkaHrniX9vC5l1SKytZtSs7z4jac0LXHlqZUdAMFd+4FQcds19dfs86x4o1jw/dz65dT3FqJlNjcXDFi+QSwDH7y5xz6kjtXffYrP/n0i/wC/YqQADgCssuyDFYLGxr1MVKokno79fWT9fWx4uMzKliacoxoxhd306emnyCiiivpjygooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKg1W0l1DTLmwhuWheeB40mTrGWUgMPcZzQB88fs7/8ABV39iL9qX9oTU/2Zfg38Tru+8S2C3zWMl1oV1bWGtrZTeTeHTruVBDeiCQ7ZPKZtvJ5AJr6Or8VP+CVv7N/7TNh+0T+yF+zx4x/Zv8ceFLz9kmy+JEfxQ8Xa34flttIv21W5mWxXTrxvkvxcCVZW8snaAd3Sv2roAKKKKACvDf22f+Cif7MH/BPzSvDmrftJeItXsk8Van9h0iPR/D1zfsX3xRl5DCjLDGHmhXe5UFpFAyTivcq/Pv8A4OP/ABbq0v7BsXwU8H/CPx/4u8QeK/F2jXmm23gfwNfawsMOnatY3Vybh7WNxb/ugxTfjzCrBc4OAD9A1YMoYdCMilrmvg78TdF+M3wv0P4p+HNF1vTbHXdPS6tbHxJos2nX8CN0We2nVZIX45RwCK6WgAooooAoeKvE+h+CfC+peM/E9+LXTNIsJr3UbpkZhDBEhkkfCgk4VScAE8cCvD/2QP8Agpl+yl+29448SfDD4K694gtvE3hWzgvtV8O+LvCV9o179hnOIbyOG8ijaSB+MSAY+ZfUZ9q8c+KYPA3gnWPG11pF/qEWj6VcX0lhpVo091crFG0hihiXmSRgu1UHLMQB1r85f+CM3xR1j9qv9sv4sftrftGfBv4m+D/iz4z0BNN0fw14o+GWp6TpXhXwlZXYFrp6X11CkV7eyySi4lKnuQihUagD9L6KKKACiiigD53/AGzf+Cov7Jn7BOvWWh/tF6t4ps0uLOK8v9V0bwTqGo2Gj2ss/kRz311bwtFaI0gKr5jAnacCvoHTdSsNZ0631fS7tJ7W6gSa2njOVkjYBlYHuCCDX5lf8HF9hcfHP4XRfs3+B/gV+0Hr3xIisre/+GUvw90W7uPCesX819Bm21jYTaSpD9lRyl6oVVlJjJ3NX6SfD2LxPB4A0ODxrb2sWspo9surxWSgQpdCJfNWMDgIH3AY7YoA2KKKKACgkKCzEAAck0V4n/wUb8IftLfEL9iP4i/D/wDZCihf4ha9oDadofnaoliVWeRIrhkuHBWCUW7TFJCDtfacHGKAF/Y1/wCCgv7L/wC3zF43u/2YfGtxrtr8P/Fk3h3X719Okhha8jGSYHcATRkciReCCCOte11+ZX/Bvr8LP2kvgn8W/wBpnwH8Vv2Jf+FQeF5PHuny+HrVfEZvreNodMtrUWlrJ9mhF7CsUSObxPlZ2ZNu5ST+mtABRRRQAV85/Er/AIKgfs6/DP8Aaqm/Y4ufCHxK13xlZvpQ1U+EvhtqWq2GmLqJItZLq6tomitkYByXkIAEbknCnH0ZX5Lf8FUPAHxC0r9u1/H/AOwp4E/aZ0v9onXvF/hCCHW9BtbuPwBq2i2wUTm/li/0SSGOCW6R1uT5iyZ2Da2SAfrTRRRQAUUUUAch8fPj18Jf2YPg7r/x8+OvjS18PeE/DFgbvWdWu8lIY8hQAFBZ2ZmVFVQWZmAAJIrn/wBlL9rj4TftkfDyf4kfCSz8S2draX5s7yw8XeFLzRr6CTy0kUtb3caSbGjkR1cAqwYEGvnf/g4J/Z2+MX7TH/BMvxP4J+B2g6xq2t6V4j0PXZNI8OjdqF5aWWoQzzrbL/HOsatIifxNGAASQKo/8ENrf9oOP4dfFi5+Ik/xYb4bz/E6ZvgoPjg903iUaN9mi803H2z/AEkRG583yxL82A2PlxQB9y0UUUAf/9k=", 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", "info": {"equation": "96/8=12", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "96/8=12", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "1679333d3239f1245b867151ab4b21187585228134233dec2152de90c02e60b9"} +{"episode": 26780, "episode_seed": 3307689542, "split": "train", "timestamp": "2025-10-28T03:45:07.990627", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3307689542, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 2, 7])", "action": "('move', [4, 4, 2, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "62+49=111", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "62+49=111", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "c5f80916f6bf47c8df0d9ad8376e63fbd8320809aa5c8e197692136ccc3634d2"} +{"episode": 26781, "episode_seed": 1047483084, "split": "train", "timestamp": "2025-10-28T03:45:08.070211", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1047483084, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 2, 7])", "action": "('move', [1, 1, 2, 7])", "reward": 0.0, "image": 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", 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", "info": {"equation": "15+8*4=47", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "15+8*4=47", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "2c1880ec08434d98c8dfdf00965ac4a30c95a9dad3607d48d4f362c96db881ae"} +{"episode": 26782, "episode_seed": 1176227359, "split": "train", "timestamp": "2025-10-28T03:45:08.155618", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1176227359, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 0, 0])", "action": "('move', [1, 0, 0, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "71+1*10=81", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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2R9YV4n/wUg1/4n+Fv2Dvix4h+DUl4niS08EX0mnS6em6eL92fMkjHXesW9gRyCMjkCvbKbLFFPE0E8aujqVdHGQwPUEdxXvV6brUZU07XTV+11ufBZZjI5fmVDFSgpqnOMnF7S5ZJ8r8nazP58f+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/BH6XgeL8JhvCrF8OPDJ1KmIhUVTTRKK073XLZdOWctuvu9MuYrea3khu0VonQrIr9CpHIPtin1x/wAbfGEPhbwXNarKVudRVoICAPlBHzsfYKT+JFezjcVSwWEnXqfDFN/8D57H5zQpTrVowju2fO/gPW/B+rftm+FvAF8JJbTS7a91LT5ZIYzG2oNHKlpG+X3K/wBmjv5QAp+4DkYGfrivja0+FPiGx+EGi/HnSoDD4h8QeIY/EtoLmRR5XlOhsICTF+7V7GNYnypKmaTnnNfYWmX8Oq6bb6nbghLiFZUBIOAwBHTjvXzvCbeHw88JUjyzi1K3lNJr7tvkelmy9pUjWi7xenzTt/wSeiiivrDyD8Iv+DjTxd8eoP8AgpP4PstNfUxb6P4d025+HUUNvuX7W1yzSSQjBDym4jRT1J8uMYwFr9zvCs2s3HhfTbjxFFs1B7CFr9NoG2YoC4wOB82elfLn/BQb4O/C74lfFjwd4s8e+B7HVtR8J6PcX3hu7u1YtYXBvbTMqAEDd8in5gcFQRzX1lXzmUUXSzjHNybvKP4xv+F7eiP0vjHi/CcQcIZJltLDqnLCU6kZS095uS1VtbPl5nf7cperh1JrtNOnewXdOIXMK46vg4/XFfBH7D/xE8V6v8S/gdY2Piy/1DXNV0HXrj4l29wkbzq3k772S7X71u6auIYgPlwxZMcED79r5R/Za+Dnwu8Eftp+NPiV4S8DWNhr/imXxM3iHVoVbzr4x6xAE3kkgAA9FAB6nJozqi6mY4KSk1ab0+V/0t6NnzuRY/AYbKsbSr0+aUopwdk9eWcNW9Ul7TnTV/ehFW15o/mB8GfGv7S17/wcgzajqq6nL4ib4rajp9/FNagsmgKssQG0jCwrp6oysP4QrAkkZ/e2vlK3+Dvwug/4KUTfHCLwPYjxdPrn9my6+VYzm0HhsMIuTtAyByADxjOK+raXDlF0YYlOTf72e/lb8+p9F4l8YYTi+vl1Shh1RVHDUqbStq43va32VtFPVIjvLW0vrSWy1C2jmgmjZJ4ZkDI6EYKsDwQRkEGvOf2Wvhn+yv8ADb4TQ+Hf2RtI8Kw+Dmv7iaE+FLyO6tHuS+Jm81HcM4Zdp+YkbQvAAA4n/gql4g+KHhb/AIJ3fFzXvg3JeJr9v4QnMEunx7porcsq3UidwVtzM24crjcOQK/JP/ghb8Zda8N+C/H3gjxb+05qXgnw1a31ndaNYReK7bT4pLyVZFuXUTAljsit844GB3NLOM+w+UY6nCpScrxburXWuyv6a69i8g4HxeceHOYZ7TxfJCjVpxdK7tPZczV7XXtPc0enPsfvWqqihEUADoAKWvLf2W/GGpeNvDNzrY8VNrmmSiFtP1b7Wtwlx8pDMki/K4OFJK8ZJr1KvYy7GwzHBxxEYtKV9Hvo2v0PzjE0Hhqzpt3sfm//AMHOmv8AxP0n9hjQNK8ISXieH9T8c28Pi1rZMo0SwyyW6SkdEM6Iw7F0TvgHw7/gmh4/8H+Pv2ANB+Gv7Qv7TU0GmSyXmmnwTf8Aja1s7WfTFmKpbyQZWQxP86lSw3qSOVPP6X/t3fD/AMGfFT9nO++HnxD8Owatomq65pMOo6bc7vLnj/tCBtrbSD1UHgjpXG6T8OvAlp/wTX1j4a2vhOyj0BPDGsaYmlRxYiWz+0XEXkgDkL5fy9c4718jnOW1sZndTkrOH7rm06pNrl3Wj3/Q/VMHxxg6Xhthch+rWq08U6ntVa6Tjo1s+dXtuvdjHXtR/wCCZ+kaP4Vf4s+Cvh3plvZ+CtM8foNCtLC1jjs7a8ksLaTUYbfy+Ni3LEso4SVpEGNpVfqKvD/2Bvhv4D+EXwf1T4dfDLwraaJoemeKrpLDTLJSI4Q0ULtjJJJLMzEkkkk17hX0mQRcMlw6vf3U/v1/DY+A4lxlPHZ5WrQva6V38UuVKPNKzfvTtzS1fvN6vdlfkx/wdU+IPihafDH4TeG9LkvE8G3utalNrXlJ+4fUY4oRaLI397y3uyqng4Y/w8frPXgn/BQn4S/Db42fDDwz4A+LPg6017RbjxpFLNp17u8t3jsb1kJ2kHggHrWfEdN1MjrpO3u3+53t87WPd8NuI8Nwnxvgs1xFL2sKcneOl/ejKN1fTmjfmV7aparcqf8ABJ7VviNrf/BOH4Paj8VorhNYbwbAmLqARu1ojMloxA9bVYCD1YEE8mvoauM/Zxt4LT9nzwNaWsCRRReENNSKKNQqootYwFAHQADGK7OvSwceTCU43vaK1+R8xnWNjmWcYnFxgoKpUnNRW0eaTfKvJXsgryH9p7wI3jjUtF0z+znP2yC408XkAJkjWZoy6jqBwgbkfwHsDXr1FZZlgVmODlh3LlTa19Gn+hyYau8NWVRK9r/irBRRRXcYBXkOo+Bf7S/agttb/s6SEW066i80SnE5Wye2DMTkdH28Y+4PevXqK4MdgVjvZXlbknGfry9DehXdDm0vzJr7wooorvMDyP8Aao8EnxtBpOmDTnc3UV3p4uoFJkiFwIwyjqBnYDyOqfWvW40Ecaxg8KABmlorgw+BVDG1sRzX9py6duVW/E3qV3UoQp2+G/zuwooorvMDE+JOljW/h9rejNp63a3elTwvasDiVWjKleOeQT0rl/2a/DL6B4IvdQkEobWNXe9KyjGP3MUIxx0IhB59T2xXodFcM8Cp5jDF83wxcberTv8Agbqu44Z0bbtO/oFc58Qvhxp3xCiso769eD7Hcb8ogO9DjcnPTOBzXR0VvicNQxdF0q0bxe6/Ezp1Z0ZqcHZowvH/AIGs/Hnh3+wJ7trbbKskUyIG2FcjoevBI/GtbStOt9I0y30q0B8q2gWKPPXaoAH8qnoojhqEMQ66j77STfktvzG6tR01BvRahRRRW5meQftHeAz428WaDYDTn/0yNrM3kCkuqmWN2XJyAMIG5HY+lev0UVwYbArDYqtX5r+0adu1lY3q13UpQhb4b/i7kOpNdpp072C7pxC5hXHV8HH64r8ufC/xybRrD4H/ANtftH6j4Z1zW7PWZPH94+t2tjdvN5DSXy3TSg+S66osabAAdwZMfKQP1MriPAf7NvwI+GHxG8VfFvwB8LdJ0rxJ42njm8Vaxa2+JtRkTdtZySQDlmJ2gbicnJ5rz87yevms6LpVXT5G9Ve+q3Vmtem+zZ9BkWcZbluBxNLE0eeU0uTRWvyzjaTeqS5+dNJ+9CKtrzR8S/ZSj8KfEL4g2Xizwr8TG8XDS7+e71DXF1mG/eW4Nm1sEmli+XIjkQBeDhF98/UlNjiiiG2KNVHooxTq6soyyWV4aVKVRzbk5Nve7t5vt3PDxmKWLqqSjypK1iO7tLW/tZbC+to5oJ42jmhlQMkiEYKsDwQQcEGuP+CH7O3wQ/Zt8Cp8M/gX8NNL8NaEl3LdDTdOhIQzSEF5CWJJJwBknooA4AFdpRXpuEHNSa1XXrqZxxOJhh5UIzahJpuN3ytxvZtbNq7s3td23EVVRQiKAB0AFLRRVGB84/8ABQDxBrWj658JLC41a4svDd/48kj1qSMqsM10un3LWEEzn7qNchSo/ilSJeSQD8wfBP45eBPE+k+JtO8U/tgyrpH/AAn2s22k+H7jxrY29rPp4u2Cx+SMM8LOZQDnLrg5IINfoT8XPhB8M/j18O9S+E3xh8GWXiDw5q8aJqWk36ExThHWRc4IIKuisCCCCoIq94P8C+DvAHhTTPA3gvw1Z6bpGjWENlpen2sAWO2t4kCRxoOwVVAH0r5TM+HcVj8xliIYh004paXv6brTr6n1tHPcspZBTwzoXrRdrtR5eXmlLmv8XO3LlellGK1d7R5f9nHww/hzwFNdSiUPq2qS3zLKMY3KiDAwOCIwefX0xXfUUV9DgsMsHg6dBO/Ikr97I+Xr1XWrSqNWu7hXnn7SWkvqfgyymTTPtBs9WSZGCktCxjkjDAD1EhXn+9XodFTmGEWPwVTD83LzK1+w8PW9hXjUtezMT4a+HF8H/DvQfCaNIRpmjW1qDLjcfLiVOcADPFbdFFdNOCpwUV0VjKT5pNhRRRViCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACvG/jt+3t+zF+zf8d/Af7OHxa8cz2Hir4jXAi8P20OlzzQx75kt4Xupo1KWqS3EiQRtKVEkrBBk17JX5nf8ABVX4J/G/xj+394d0zwJ8HvFGvWPxT8OeAtE0vxLo+kvPYeH7jQfHKa3fyX0y/LaJ9iYyRs+BI8RRctgUAfpjRRRQAV5d4A/bE+BvxM/ad8bfsh+ENZ1Cfxp8PtKstQ8TW0ukTxW0UN1nyvLndQkx4+YITtPBOQQPUa+LvA/xWju/+C6Xjfw4vws+IMVpJ8DdH0CLxTc+BL+PQ5b+2vr/AFCWNNRMf2dwILyAAhsGTfGPmQigD7RooooAZPPFawPc3EgWONCzsegAGSa8h/ZG/bs/Z2/bds/E9x8B9e1aafwfq0dhr+na94eutMu7dpYhNbzeTdRo5hmiYSRSAbXXkV69cTLb273DozCNCxVFySAM4AHU+1fEP/BG74nah+0P4m+On7UnxF+Fvj/wh468e+OLabVdB8a+BL7RotL0a0ils9HsreS6iRb11toHnnljyFlvCvAC5APuGiiigDmfjJ8WvCPwJ+F+tfF3x2NQbSdBsjc3cWkaXNfXcoyFWOG3gVpJpGZlVURSzMwAFY/7Mf7S3wl/a9+Cej/tAfBHWLq98O62bhLZr/T5bS4hmgnkt54JoJVV4pY5opI2RgCGQ1H+1f4r0PwX+zf4z17xR4Z8a6vpY0Ka31Oy+HFvPLrv2afEEstktsyzedGkjSqYT5q+XlMsAD4r/wAEUvA3j74cf8E6PBvhTx94O17QTHq+vT6Bp3iyy+z6wNHm1i8m0+TUEIDC8e1eGSUuN5dyX+YtQB9WUUUUAecfta/tX/BP9iP4Aa9+0x+0N4kl0rwn4cWA6jdW9o9xKWmnjgiSOJAWkdpJEUKBnnPQV6FZXcGoWcN/bEmOeJZIyRglWGR+hr8//wDg4x+DH7Unxs/YwGi/s+fAn/hYmlaXaa1f+KNAttYFtdpJ/ZU9vZXUEIile+eGS4kmW1RQ0kkcWGUrz9zfCq68UX3wv8N3vjfw0mi61NoNm+r6PFei5WxujChlgEwVRKEfcu8Ku7bnAzigDfooooA8d+Jn7cHwd+Fn7UPhj9kPWPD/AIz1Hxf4q02DULVvD3gy9v7CwtZriW3jmvbqFGjs4zJDIN0pUfL1r2KvgH/god4S8Y/8PLfgT44/Z88KfGmH4jy654fsNV1zw7BOPBlx4Pj1C8l1e31SRP3JlSGWRkSb5t8kBiyd+Pv6gAooooA8m8F/tr/AH4hftR+Jf2QPCGuane+MPCNis+vPFoNz/ZtvIUhka0+3bPs7XSxXEEjQB96pKrEdces1+Yv7DPwY/al+D/8AwWt+LsUtj8Trfwjr/iTxb4g8Vy6qZ/8AhELywvV0aTQpLDd+5a/Eg1GOYp+8CQ7X+UR1+nVABVfV9Th0XSbrWLmGeSO0t3mkjtoWkkZVUsQiKCXY44Uck8CrFFAHiP7G/wC358DP245fF1l8IdF8aaXfeB7+1s/EmleOPBd5ol3ay3EJnhBhu0Rzujw/Toynowz7dXzD/wAEuvBni7/hB/il+0P8RPC2p6Rrfxc+NfiHxALHWrGS2u4dLt510rTEkjlAdAbHTreRQQOJcjgivp6gArif2jf2hfhd+yp8Ftd+P3xm1e4svDnh6COS+ls7GS6ndpJUhiiihiDPLLJLJHGiKCWZ1A6121fMn/BYvwl408c/8E5/iF4X8D+C9Z8QTXDaS2p6X4bsmuNUbS01azk1CSxjUFjeR2i3EkJT5xLGhT5gtAHsP7Nn7Rnws/ay+C2i/Hz4MatdXnh7XVnFq1/p8tpcQywzyW88E0Eqq8Msc0UkbowBVkIruq+X/wDgjd4S8X+CP+Cefgvw74v8Fa74fEep67LomneK7JrfV/7Jl1m9l0+bUEcBxeS2jwSzGT940kjM/wAxavqCgArx39sT9vH9mn9hDw5oPij9pHxldaVbeI9Waw0xbDSZ72Q7ImmnuHSBGaO3giVpJZmASNBliMivYq/PH/g4h+Anjz4xfs/+Gb74Lp8QT48ZNf8AC3hyHwP4FGuw38euaXJY3FjfZdf7PgmXYPt5ysGwkjLLQB+hdvcQXdul3azJJFKgeOSNgVdSMggjqCKfWB8KvC194G+F/hvwTqlys1zo+gWdjcTKciSSKBI2YE+pUmt+gD//2Q==", 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", 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", "info": {"equation": "71+1*10=81", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "d09c1944fa922a939e630185d7660f5e06761a10fa738727d4f4483be744bc72"} +{"episode": 26783, "episode_seed": 1175864775, "split": "train", "timestamp": "2025-10-28T03:45:08.235687", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1175864775, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 2, 8])", "action": "('move', [1, 1, 2, 8])", "reward": 0.0, "image": 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", 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z4d/Gj4UeHvh38VPCVrrmh33jS3N3pt4WEcpS1u3UkoQeGUHg9q8biKm6uSV0nb3b/drb52sfaeG/EWG4T43wWa16XtYU5O8dL+9Fxur6c0b80b21S1W55x/wQe1f4l6x/wAEwfh3J8TIbhXt0vLfQ2uYBGz6YlzItsQBjK7BhWPVQp5GCfsGvM/2OdG0rw7+zT4U8PaDp0NnY2FlLbWVpboFjghjnkVEUDoqqAAPQV6ZXZlkeTLqMb3tGP5I8PibMqec8R4zHwpqnGrVnNRW0VKTdvlc/I3/AIOqPEfxYtfB/wAJ/C2ny3qeCLy/1GfVRFH/AKPLqcaxC2EjD+IRPcFVPXLkZxxT/wCCeXxR8N+PP+Cf/hbwN+0P+1ldWlrPpdzpV14TvPHdpYwPpKSvDDbPECsixNAoQgsGZDyea/QD/gob8JPht8b/AIaeFfh58WfB9rruiXXjeKS4068LhHZNPvmQ5RlPDAHg0zw/4W8Nxf8ABNq88MQ6FappyfC7ULRLJIQsawC0mQRgDooT5cDtXx+Y5XXxmfV+SvKHuKWnVbcu600v8z9Gnx9gZ+GeXZBHCpVaFeU3VVr6uTTj15vfs9V8EbP+Xz//AIJx+HPC3gL9oH4t+BPgxollp3giLT9CvLuw0azijsLbX5EuUuVjMYwJGtItPeSMfdyjYG/n7Br50/4J3/CD4YfAzw74y+Hvwh8E2Xh/RYdft549PsFbZ5sllCXcliWZjgckngAdABX0XX0PDMHDI6CvfS/3tv8AA/P+K8dTzDPatandq0Y3l8UuWEY80rN2lK12ryte3NLdleH/ALZ/xLv/AAv4XTQvDtqLrUnMYsLLK/6TfTyC3s4PmZR800iggkcEHNe0arqdnoumz6tqEuyC2iaSVvRQMn6mvnXwVYXnxy/avt9c1G1c6V4RgOuXAk27WvZxJbWEWCh3eXEt1ISGUq4hPOeMs/qPEKnl0H71V6+UFrJ/hb7zz8viqbliZbQWnq9j2r4K/DHTfg18K9D+GmmTCYaVYqlzd+UEN3csS89wwBOHllaSRuT8zmuooor6CEI04KMVZLQ85tyd2cz8ab7xvpfwc8Wan8M7Z5vElv4Zv5fD8McIkZ75bdzAoVuGJkCDB4PSv52/+CR3xn+J3hn9t29k8QfHXWfCVp4lstQl8eao+ux2T3UqrJKhnkuODJ9pZe2/LsOjNX9JVfHX7D3wN+EPw7/aZ1zx14J+HmnabrPizTfEN14k1GGNjLfzDWLchnLE45djhcDLdK+S4kwdXF47CRhUcG3JXXTS91qu1j9W4E43wPDXCOdZZXwqqyxUIqMnbSza96/Rc3NG200u91L8BI/BvxZ8a2jeFvi7J40nt9dsb3VNWXX4NRnjFtKs0UcjxfKifuyACATubByePsCmxwww58qJVz12rinV6+TZVLKqU4yquo5O7b9Eu7/M/NMZi1i5xajypK1gr83/AIjfE3xzp138SLtfFl+Piav7QENloelyxxNdErqlsuk20Nu33reTTY4pc4+aNp5CeGYfpBXxx8ZPgl8JdZ/b7tvjnq3gGwuPF2k+I/DllpmvyqxntoG8sMic7RkSOM4zhiM15/FNCVahQtJr95Hbzdr+q6H0XCWYZfga1b63S51yqS0Tu4O6hK/2J7TtronZ2s/gv/g6d8Q/FeT9oP4ceEtTkvV8Dp4Qlu9IQx4tpdUa5kS6O4ffkWEWgwfuq4xjec/ql/wTm1j4m6/+wl8J9X+MUNyniOfwPYHUReQCKU/ugI2dRjDGMITwDk8gHNcP/wAFIvgn8JvjnJ4K8O/F/wAB2HiGxsF1W+tLTUFYpHcJFAFkwpGcBmGDkHPINe9/BX/kjnhLgf8AIs2HQf8ATvHRl1Bw4kxkuZvSGnqv0tp6n0vEvGuDzjw3yjIqeGUJ4aVRynprd/Z6+9e877yinr06avK/2o/hR+x/8UbLwvF+1zong+7gsfEcT+E/+EtvYoFOpMDsjhMjr5ruB/qvmD7RlTgY9Ur8Nv8Ag6M8UfF0ftWeAfDOp3V/F4NtfBn2zw4oUrA2otcyrdurD70ioloD3UFcY3c+jnmPhl2XSrShzq6Vntq+v9b2OHwr4UxHGfGdHLqOKeGk4zl7SN+ZcsXpGzV29nqvd5n0sfuL9ktQ24W0ec9dgqSvze/Y7/aWvtc+Cfw+8S/E79tfULvxdqHh+0bVtG1Hx3ZHzbqWPb5bwAB9x3D5c7t2O9ff/wAJ7vXL3wDp9z4haRrlkb55s72TcdpbPOduPrXLlXEWGzfEujSpyVle7t3Sto33PlM3yWtk9epSqTjLkm4Xi7p2bV15O2h0VfnH/wAHNviT4saL+wtoml+B5b2Pw9qnjW3g8ZPaJlGgWKSSBJmHKxmdEPoXVAecA/o5XI/Hjwj8F/Hfwg1/wp+0TZaLceCbuxI8RR+IbhYrIQKwfdLI7KECsqsGyNpUEEECvTzPCyxuX1KEZcrkmr/5+XfyPQ4Hz2lwzxdgs0q0faxo1IycN2+nu/3le8f7yR+Qf/BHb436jc/sdT+EPiz+19q/hix0zxBdWHhvRh45ttPEWnmON2CK/wC8C+dJPhsjHIXAUY+wv2DvBXwr+F37aDeF/wBmPRNLsPDOo/CMXPjC38ORRPZtLFeQLo88sqEnzpIZNR2sTmVELktjdX1z8K/CHwh8G/BzRfDnwN0vRoPCFlosa+G00R0ltPsmzMbROpYSKwO7fk7s7snOa+cP+CX/AMEfhJ8Er7WbT4TeAbDQY9b8HaHqGrixVs3VyzXQMjliST6DoMnAGTXxtDJsRl2b4JVMQ535rb2XLHZavR7dND63PeMsLnWNznGwoypLES0pK3K3KTXNU1Xvw+NWjL9473jbX6+rw/8A4KV+I/ix4R/YK+K3iT4HPep4ns/B10+nS6bHuuIlwBNJGOodYTIwI5BXI5Ar3CqPiYsPDeoFeosZcf8AfBr7uvTdWhKCdrpq/a63PzfK8ZHLszoYuUFNU5xk4vaXLJPlfk7Wfkfz4/8ABDL4weJvBnxI8Z+DNU/aG1HwR4RuNES+uEg8SW+nxT6is0ccRzMDlvKM2QvUKN33Vr9eP2VrDwp4/wDHWl+LfCPxAPiiHSdRub2912LVor43Fy1rJbkTTR5UsEmX5RggKvYHOZ/wTF+Bfwe+CQ1/RfhN8O9N0K11Pwt4fv8AUIrKNj9ouX+2hpGLkknAAxnA7AV9axxRxDbFGqj0UYr4Lh/Ia2Jw2HxcsRLli+ZQ6Xi3trb8Op+jeKHG+D4s4txWPw2G9nGoox1tzO0Eryto2/XZLsOooor9CPyo/N/4A/E3x3cv8FmTxbf3PxH1b4vTp4002aOJrsz770a3DcQnmGK3ikfGAPLVbbH303fDf/BxB4u+Oj/8FPxYajNqiWWi6LpL/DiNYDtCNGkjyQAD94xvRMpbBJaML0VRX6ffDn4I/CbRP+Cg918ctL8A2EHi/V/Gmq2WpeIFVjcT266XKFjOSQoxHH90DO0ZzSf8FFPgn8Jvif8AF3S/GPxB8BWGr6n4U8Gvd+HLy8VmawnN0T5iAEKTlEPzA4KgivzGpg5x4fxEfaP3a/32aj+N7+qR++8I+IOR8McbwzOOC54ToVE42inGdR89o9OSNvZp6NwlJ8qvyH1R8KrzxfqHwv8ADeofEG3aHX59As5NcieMIUvGgQzKVHCkSFhgcCt+iiv02K5YpH4NVmqtWU0krtuy2V+i8kFefftI6QNT8EWlwdMFwbHVY7hX2kmA7JE3jHs5XnjDGvQaK5cfhPr2CqYfm5eZNX7FYer7CtGpa9nc5f4LeEj4H+FujeGWMu6C2LsJ8bw0jtIQcAYwXIx7V1FFFbUKSoUY019lJfcrGc5Oc3LufK/7bHijWdL/AGpvhZo3iHXJ7HwtL4f165slkdY7S51xPsqxpI5IzItnJfMidx5rAHYSvzf+z18d/A3ir4YajaeNP20LpdJk8Ua5aabot543sLa3m0db+eO3jMIAPlNAAByCyEHPOa/Qb46/s+fBf9prwDJ8Lvj18O9P8T6BJdRXLabqSMUE0ZJSRSpDKwyRkEcMR0JB6TRvDXh7w7o9p4f0HRLWzsbC2jtrK0t4FSOCFFCpGqgYVVUAADoBXy2P4bxeMzKpiYYlwUklZXvorW3WnX5s+v8A7fyqOQUcKsPetF2bajy2TnJNPVuUudKSaVlBNOXNaHn37MHhcaVoGr+KA0n/ABPNQjmXdjYVjgjiDJxyDt68+1en0AADAFFfRZfg1gMFTw6d+VWv3PlMRWeIryqWtcqa9o1p4h0W60O+z5V1A0bleoyOo9x1rO+H3ge08AeHxodtdtcM0rSzTsm3exwOnOBgAfhW5RWksLh5YlYhx99JpPyZKq1FTdNPR62CiiiugzOX+N1/450r4L+L9U+GFs83iW28L6hL4dhihEjSXy20hgUK3DEyBBg8HpX5vWfxv8LeG7n4A2PhT9pm+0CLV/DV+/iDU18QWttc3Vn9hRpJbqWbJjlOoxwqw4Jl85SPkYL+pNcD8LP2W/2efgl4y8U/EL4UfCPRtC1rxtffbPFOo2NtiTUZ98j73ySB88sjYXAJcnGa+dzvJcRmtejOnWdPkvte+vVarXpvsfV5FneWZdluIo4mjzzldw0jZtxlC029Uo83PCyfvKzSvzR8h/Zd+Kb+MPE9rpPgn45z+OLe2uz/AGjO/iGHUDAjrnbI0PCj5MruGc5weTX05TY4YYc+VEq567VxTq7coy2rltGUKlZ1G3e79Erbvt3Pn8XiYYmalGCjZW0/pBX5iftHfGLXvCfgn4x+IfEXxWvdC8fWvxsNppsk1zBBdWYXUbdNJjhSX5VhfTkhlDkYKNNITwxH6d1werfsv/s+678eNP8A2ntY+E2j3Hj7S9NNhp/iiS3zcw25EilAc4ztlkXcRuCuRnHFYZ7lNbNqNOFOpyOMk7/11XQ93hjOMsyirUljaXtE0mklF3lF3UJc21Oe07Xa0dpWs/ljwt4x+HvxB8UjR9G/aUl8dao9rNDp9hceMLbUZYUfAkaKKEBskBcnB4Ar7Q8F6CnhXwdpPheN3ZdN0yC1VpCCxEcapk44zx2rQS2t423R26KfVUAp9Tk+S1Mrq1KlSs6kp21flfzd9zxsZjY4qEYxgoqN9vP5IK4T44/sx/AH9pa30W0+PPwp0jxTH4d1RdR0VNVgLi1uQMb1wRkEYypyrYGQcCu7or25whUi4zSa7PU58LisVgq6r4eo4TW0otxa6aNWa00I/slqG3C2jznrsFSUUVZgFfnH/wAHNviT4saL+wtoml+B5b2Pw9qnjW3g8ZPaJlGgWKSSBJmHKxmdEPoXVAecA/o5XP8AxU+Ffw7+N3w+1T4VfFnwjZ694d1q3EOqaTfoWiuEDBgDggghlVgQQQVBBBFcOZYSeOwFShGXK5K1/wCunR+R9RwVn+H4W4swebV6XtYUZqTjpql1V9OZbxv9pI/Hn/gjZ8eNXT9kN/DfxR/a/wBV8L2uj+I7iz8MaO3jW0sVisPLjkOyOUF9vnyTYJ46gcAV+nP7IHhfRI4r3xz4buFl0260exsNMltpVkt5beIyujRuM7xiUfMCQRivT/h18L/h78JfA2lfDT4beELHR9B0SyS00rTLOECO3hUcKM5J9SSSSSSSSSa3VVVAVVAA6ACvByzhqvgsXSr1cQ58ido2dldW0u3p8uiO3jLirDcTZ7jcdh8OqUa9RysrXte+tl8T3l5ti145/wAFBtc8e+G/2LviJrfw1vNRttVg8POTd6PD5l3bWpdBdTQj/nolsZnUjJBUEcgV7HSSRxyxtFKgZWBDKwyCD2NfT16brUJU07XTV+11ufL5dioYDMKOJlBTVOcZOL2kotOz30drPRn5r618b/Bnh39qDSfCPhH9qN/Cvh2T4Wi5v10jxVZ2tvKRdxf2Y3mybi5aCW8ZVBwU2v0IJ+qP2TPiPdeONUhTw38VpfGOk21vLDd6o2sR3w3g7gHli+TzAXAxwdpHoK9E+BH7L37Pn7Mfh6/8KfAL4S6P4W07U9SfUL+10u32rNcMqqXO4k/dVQFHyqBwBXdxxRxDbFGqj0UYr5LLeF8Zg50pTxTtB35Vfl9N+vXTue5nec5XiqrhgqPuKKipSSU5dXKSjdXu7JKTskld2HUUUV9kfLH5VXHxv1bQPhD8L9Y8UfHS/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": "16*20=320", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 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*20=320", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "6091b35aca642aba2cf97a17bba0d55d90c97b0d80e7a6465f37514925e74d5a"} +{"episode": 26784, "episode_seed": 4250907976, "split": "train", "timestamp": "2025-10-28T03:45:08.314629", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4250907976, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [1, 6, 2, 7])", "action": "('move', [1, 6, 2, 7])", "reward": 0.0, "image": 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0NrmARs+mJcyLbEAYyuwYVj1UKeRgn7BrzP8AY50bSvDv7NPhTw9oOnQ2djYWUttZWlugWOCGOeRURQOiqoAA9BXpldmWR5Muoxve0Y/kjw+Jsyp5zxHjMfCmqcatWc1FbRUpN2+Vz8jf+DqjxH8WLXwf8J/C2ny3qeCLy/1GfVRFH/o8upxrELYSMP4hE9wVU9cuRnHFP/gnl8UfDfjz/gn/AOFvA37Q/wC1ldWlrPpdzpV14TvPHdpYwPpKSvDDbPECsixNAoQgsGZDyea/QD/gob8JPht8b/hp4V+HnxZ8H2uu6JdeN4pLjTrwuEdk0++ZDlGU8MAeDTPD/hbw3F/wTavPDEOhWqacnwu1C0SySELGsAtJkEYA6KE+XA7V8fmOV18Zn1fkryh7ilp1W3LutNL/ADP0afH2Bn4Z5dkEcKlVoV5TdVWvq5NOPXm9+z1XwRs/5fP/APgnH4c8LeAv2gfi34E+DGiWWneCItP0K8u7DRrOKOwttfkS5S5WMxjAka0i095Ix93KNgb+fsGvnT/gnf8ACD4YfAzw74y+Hvwh8E2Xh/RYdft549PsFbZ5sllCXcliWZjgckngAdABX0XX0PDMHDI6CvfS/wB7b/A/P+K8dTzDPatandq0Y3l8UuWEY80rN2lK12ryte3NLd/HX/BebxJ8WPDH/BMnx5d/CWW9ikuHs7XxBNp8eZE0qWdUuckcqjKQjkfwO2eCTX5xf8EMvjXr+g/Dfxv4I8aftRan4M8NWGp2k/h/To/Fltp8bXMyy/amRZgWbiOAnHygnPVjn91PFHhjw9418Nah4O8W6Pb6jpWrWUtnqVhdxh4rmCVCkkbqeqsrEEehrnvgt8Avg1+zr8PrX4VfBL4d6b4d8P2UssltplhEdivI5d2JYlmJYnkknoOgArlzbIcVmOYxxFKu6aUbaXvv0s1o+uvQ+xyfxBy7LfDLFcMVMGp1ataNRVHayS5b33fMuXlXTlnLa3vcR+yh461Hx1bS6lYeOn8S6N9hRYNY/tBLpJpEITIlj+RmIVt2O46Zr2akREjXZGgUDsBilr18swU8vwiozqObTbu99Xfu/wAz80xVeOIrOcY8q7I5n4033jfS/g54s1P4Z2zzeJLfwzfy+H4Y4RIz3y27mBQrcMTIEGDwelfzt/8ABI34z/E7wz+25fS+IPjrrPhKz8SWWoS+PNVfXY7J7qVVklQzyXHBk+0sP9vLsOhav6Sq8p+BHwh/Y58DfErx/wCIf2efD3g2DxVq+sLJ8Rn8P3cU10L0vK4W6RXYwOXaZthC5JY4zmvMzzJq2aYijOnW9ny39dVutVrprrsfpnA/HWD4Y4SznLK2D9s8XCMVKytCza99u+i5uaFvtpd7r4W+OGjfBDV9EuPjr8NvHFn40+K9p4n0P/hEvFX9s22r6uNWS6RLGyiYEhY3BmDQKArI00jAlS6/p/Xxz8efgd8Ide/bu07416z8PtOufFehax4VtdH1yVGM1pC94NyoM7RnzH5xn5jg19jVzcMYWeEq4qEpubU7XfWy366u+vofMcRZrTx2XYKjFybhGTbl05uVKnHV+5BQvH4dZStFbsrnvirb6VcfD7VF1ltsK2xZWCglXH3CAe+7FdDXif7YHxUbwx4TuNH0awlvru0iE5sohzczthbe3BwTl5GUdOMg162eYqnhMrqSkr8y5Uu7lol/XQ+dwNKVbFRS0s7t9kjzv9lHxD4W8aftca7b6jC5uvC/hprXw68kUZilmeWJtSeNt5bfGHsIj8i7d7jJ3ED6wr5OvPgdrf7ON78PtU0K6W61XQbpL/U7p3Qf2jJcbl1Zd5iAHmmaSVQAvzrFkqBkfWEciSossbBlYAqwOQRXn8Lv2GDlgpq1Sk7Nd76p/P8AQ6c0XPWVeLvGa0+W6Fr8NP8Ag6R8R/Fif9qfwH4T1uS9XwVb+CjdaBG0eLZ9Qe5lW8ZT/HIES0BzyoK9N3P7l18q/wDBSv4I/CX433ng7S/i54BsPEFtpWla5f6fBqCsUhuUFmFkwCM4BIwcg55Bq+K6bqZHVadrWfrqtD7Twn4swnBfG1DM8TQ9rFKcbK3MuaLXNG+l+n+Fs+ZvgB4+8A/Hf9lvwF4a/aZ/ajbxJeatoemS674M13xvZm2u7pSjxQTWibS4DrGfJOQWUBlPIr6j/wCCYkcWk+HfiX4L8GLt8B6F8RJbbwVBBGotLUNZ20t9b2pXgwpfSXQwOEcyIMbdo6f9pXwN4P8AiF+w4ngzxr4dttR0rVrHw/bajZToQk8T3tkGQ7SCAQexBq9+wN4D8G/DD4Ey/D74e+HLbSNE0nxLqEGnabZqRHBH5ucDJJOSSSSSSSSSSa8rLMtr4DiKMaleVR+ybu+17W3enX1OPH8QYfG5Fioxg4e1q3VNW9lC7UueOvx6ezXur3G/ed7Htdcj8ePCPwX8d/CDX/Cn7RNlotx4Ju7EjxFH4huFishArB90sjsoQKyqwbI2lQQQQK66vzj/AODm3xJ8WNF/YW0TS/A8t7H4e1TxrbweMntEyjQLFJJAkzDlYzOiH0LqgPOAfqszxUcHl9StKPMop6d/Xy7+R5vA+R1eJOLsFltKt7GVWpFKezjbW8dve093Ve9bVH3n8HPB3wf8H/Crw/4Z+B2laND4Ps9KhTw4miOktobTbmNonUkSKwO7fk7s7sknNdQqqoCqoAHQAV+Lf/BGr486xD+yK3h74n/tf6r4XtdG8SXFp4X0dvGtpYrFY7I5DtjlBcr58k2CeOoHAr9Wv2afFmseM/Dl3r1xrp1TTrlo5dO1ETiVJw6klo3HyshG0grxzxXh5VxPhcxxFPDQpSi2vLlVlfTy6LRdDr414WxPDXEGNwlWuqrpVJLnu7y13d/ta+8ruzvq9z0uvD/+ClfiP4seEf2Cvit4k+Bz3qeJ7PwddPp0umx7riJcATSRjqHWEyMCOQVyOQK9wqj4mLDw3qBXqLGXH/fBr6WvTdWhKCdrpq/a63PmcrxkcuzOhi5QU1TnGTi9pcsk+V+TtZ+R/Pj/AMEMvjB4m8GfEjxn4M1T9obUfBHhG40RL64SDxJb6fFPqKzRxxHMwOW8ozZC9Qo3fdWv14/ZWsPCnj/x1pfi3wj8QD4oh0nUbm9vddi1aK+NxctayW5E00eVLBJl+UYICr2Bzmf8ExfgX8HvgkNf0X4TfDvTdCtdT8LeH7/UIrKNj9ouX+2hpGLkknAAxnA7AV9axxRxDbFGqj0UYr4Lh/Ia2Jw2HxcsRLli+ZQ6Xi3trb8Op+jeKHG+D4s4txWPw2G9nGoox1tzO0Eryto2/XZLsOooor9CPyo/mn/Z9+Lnx/0r/grX/wAJt8UPiLqvhjxbqHj6+tPG+r3F3FZT2kLO6XUbPKNkKrGpQDooVQvRa/R79ojRv2V/ij8N/F/xH8ZfF6y8d+ItD8JS/wBka9f+JbbVdQ0V0YyWpslQ4hla78rbtXdLJsjO4EIfdPh58D/hHpP/AAUFuvjfp/w/0+LxdrHjTVbLUte2MZ57ddLlCxnJKgYjT7oBO0ZzTP8Agoj8DfhB8Svi5pfi/wAe/D3TtV1Pwp4Oe88O3d3GxNhObonzEAIUnKIRuBwVBGK/JauU11l1et7eXLGq48utm+ZLmeu+t9um5/QHE3iRlvEnFWX42jhnhlSoQi/Z25m4pycFqlyX9xXekdXF/AfVPwlvPGOo/CrwzqHxFtmh8QT+H7KTXYWjCGO8aBDMpUcKRIWGBwK6Ciiv1mK5YpH4HWqKrVlNJK7bstlfovJBXn37SOkDU/BFpcHTBcGx1WO4V9pJgOyRN4x7OV54wxr0GiuXH4T69gqmH5uXmTV+xWHq+wrRqWvZ3OX+C3hI+B/hbo3hljLugti7CfG8NI7SEHAGMFyMe1dRRRW1CkqFGNNfZSX3KxnOTnNy7nyv+2x4o1nS/wBqb4WaN4h1yex8LS+H9eubJZHWO0udcT7KsaSOSMyLZyXzInceawB2Er83/s9fHfwN4q+GGo2njT9tC6XSZPFGuWmm6LeeN7C2t5tHW/njt4zCAD5TQAAcgshBzzmv0G+Ov7PnwX/aa8AyfC749fDvT/E+gSXUVy2m6kjFBNGSUkUqQysMkZBHDEdCQek0bw14e8O6PaeH9B0S1s7Gwto7aytLeBUjghRQqRqoGFVVAAA6AV8tj+G8XjMyqYmGJcFJJWV76K1t1p1+bPr/AO38qjkFHCrD3rRdm2o8tk5yTT1blLnSkmlZQTTlzWh59+zB4XGlaBq/igNJ/wATzUI5l3Y2FY4I4gyccg7evPtXp9AAAwBRX0WX4NYDBU8OnflVr9z5TEVniK8qlrXCiiiuwxCiiigDmfjTfeN9L+DnizU/hnbPN4kt/DN/L4fhjhEjPfLbuYFCtwxMgQYPB6V/O3/wSN+M/wATvDP7bl9L4g+Ous+ErPxJZahL481V9djsnupVWSVDPJccGT7Sw/28uw6Fq/pKrgvhb+y5+z18E/GXin4hfCn4SaNoWteNr4XninUbG2xJqM++R975JA+aWRsLgEuTjNfO53kuIzWvRnSrOnyX2vfXqrNa9N9j9Q4J4+y/hXhXN8qr4RVZYyEYxlpaLV0+a+tlfmjbaaXe6+fPgJH4N+LPjW0bwt8XZPGk9vrtje6pqy6/BqM8YtpVmijkeL5UT92QAQCdzYOTx9gU2OGGHPlRKueu1cU6urJsqllVKcZVXUcndt+iXd/mfneMxaxc4tR5UlawVzF78LtJvfiJD8QpLt/MiQbrbYNrSBdqvnrwO3qB9D09FehiMLh8UoqrG/K1JeTWzOenVqUm3B2urfJnNfEb4aad8RoLSK9v5LdrSYsHjQMWRsbl56ZwOe3oa6KCGK2gS3hXakaBUUdgBgU+inDC4elXnWjG0p2u+9tglVqSpqDei2+YV8a/tV+NYtI/bN1qx+K/i6TS/Dlj8IYbnw4t9MkFoUe7uf7XnRmIDyosWnh852IyHgPz9lVwnxy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", "info": {"equation": "10+3*6=28", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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kFfk3/wAHUviP4s2Pws+FXhnRpL1PBN/rWoS6/wCTH+4k1GOOH7GkjDv5b3bKp4O1j1UY/WSvBf8AgoX8LPh38aPhR4e+HfxU8JWuuaHfeNLc3em3hYRylLW7dSShB4ZQeD2rxuIqbq5JXSdvdv8Adrb52sfaeG/EWG4T43wWa16XtYU5O8dL+9Fxur6c0b80b21S1W55x/wQe1f4l6x/wTB+HcnxMhuFe3S8t9Da5gEbPpiXMi2xAGMrsGFY9VCnkYJ+wa8z/Y50bSvDv7NPhTw9oOnQ2djYWUttZWlugWOCGOeRURQOiqoAA9BXpldmWR5Muoxve0Y/kjw+Jsyp5zxHjMfCmqcatWc1FbRUpN2+Vz5Y/bY8T6zpf7U3ws0bxDrk9j4Wl8P69c2SyOsdpc62n2VI1kckZkWzkvmRCeR5rAHYSPnr9qf4jfHt/wDghH468U/DrVdWuBPrWpWmn6pBbKJpvCb63LEsoKDmFrIgeaPvQndnB3V9Xf8ABQ34SfDX43/DTwp8Pfi14Otdd0S68cRSXGnXhcI7Jp98yHKMpBBAPBo8PeH9Dg/4Jr3nhODSYI9Mj+FuoWcdhHHtiS3FpNGIgo6KE+UAdBXzdXCTnn2L99rmo/dfT8LX+bPq8o4jyvK8HluIeGU6lCtCUk1HllGnOU9Hu3PnUZXVlyJ3le0Pg7/g1S1j4mS+A/i5oN9Fc/8ACGwavps+mSNABD/abxSrchXxkt5KWhZc8DYeN3P63186f8E7/hB8Mfgb4d8ZfD34Q+CbLw/osOv288enWCtsEklnCXcliWYk45JPAA6ACvouvV4ag4ZHQV76X+9t/gcXiXxFhuLOOMZmtCl7KFSStHS/uxjG7tpzStzStfVvV7nx1/wXm8SfFjwx/wAEyfHl38JZb2KS4eztfEE2nx5kTSpZ1S5yRyqMpCOR/A7Z4JNfmV/wRK8bfELVfAPxX8Dax4lu5vDOi+Dry40TT5ZwYrK5nA+0vGOqbxFAT/DlM9d2f3s8UeGPD3jXw1qHg7xbo9vqOlatZS2epWF3GHiuYJUKSRup6qysQR6Gvk79oH4FfCH9nHwlp3wo+B3gGw8N+HrLwF4klttL05CEV5JbV3cliWZix6kk9B0AFeFxbldWonjlUtGMUnHv7y/DW/ql8vo+G+O8Dg/DvEcKywqdWtWVRVdNElFvz5lycqtpyzlqrWl6p+yF471Lx3pI1Oy8dP4l0c6XEsWsf2gt0k0qYTIlT5GY7W3Y7jkZzXtdV9JRI9Lt1jQKPITgDHYVYr6rK8FPL8GqM6jm7t3e+rv3f5n5Viq8cRWc1HlXZHM/Gm+8b6X8HPFmp/DO2ebxJb+Gb+Xw/DHCJGe+W3cwKFbhiZAgweD0r+dv/gkb8Z/id4Z/bcvpfEHx11nwlZ+JLLUJfHmqvrsdk91KqySoZ5LjgyfaWH+3l2HQtX9JVeU/Aj4Q/sc+BviV4/8AEP7PPh7wbB4q1fWFk+Iz+H7uKa6F6XlcLdIrsYHLtM2whckscZzXmZ5k1bNMRRnTrez5b+uq3Wq10112P0zgfjrB8McJZzllbB+2eLhGKlZWhZte+3fRc3NC320u918LfHDRvghq+iXHx1+G3jiz8afFe08T6H/wiXir+2bbV9XGrJdIljZRMCQsbgzBoFAVkaaRgSpdf0/r45+PPwO+EOvft3ad8a9Z+H2nXPivQtY8K2uj65KjGa0he8G5UGdoz5j84z8xwa+xq5uGMLPCVcVCU3NqdrvrZb9dXfX0PmOIs1p47LsFRi5NwjJty6c3KlTjq/cgoXj8OspWit2Vz3xVt9KuPh9qi6y22FbYsrBQSrj7hAPfdiuhrxP9sD4qN4Y8J3Gj6NYS313aRCc2UQ5uZ2wtvbg4Jy8jKOnGQa9bPMVTwmV1JSV+ZcqXdy0S/rofO4GlKtiopaWd2+yR53+yj4h8LeNP2uNdt9Rhc3Xhfw01r4deSKMxSzPLE2pPG28tvjD2ER+Rdu9xk7iB9YV8nXnwO1v9nG9+H2qaFdLdaroN0l/qd07oP7RkuNy6su8xADzTNJKoAX51iyVAyPrCORJUWWNgysAVYHIIrz+F37DBywU1apSdmu99U/n+h05ouesq8XeM1p8t0LX4af8AB0j4j+LE/wC1P4D8J63Jer4Kt/BRutAjaPFs+oPcyreMp/jkCJaA55UFem7n9y6+Vf8AgpX8EfhL8b7zwdpfxc8A2HiC20rStcv9Pg1BWKQ3KCzCyYBGcAkYOQc8g1fFdN1MjqtO1rP11Wh9p4T8WYTgvjahmeJoe1ilONlbmXNFrmjfS/T/AAtnzN8APH3gH47/ALLfgLw1+0z+1G3iS81bQ9Ml13wZrvjezNtd3SlHigmtE2lwHWM+ScgsoDKeRX1H/wAExI4tJ8O/EvwX4MXb4D0L4iS23gqCCNRaWoaztpb63tSvBhS+kuhgcI5kQY27R0/7Svgbwf8AEL9hxPBnjXw7bajpWrWPh+21GynQhJ4nvbIMh2kEAg9iDV79gbwH4N+GHwJl+H3w98OW2kaJpPiXUINO02zUiOCPzc4GSSckkkkkkkkkk15WWZbXwHEUY1K8qj9k3d9r2tu9OvqceP4gw+NyLFRjBw9rVuqat7KF2pc8dfj09mvdXuN+872Pa65H48eEfgv47+EGv+FP2ibLRbjwTd2JHiKPxDcLFZCBWD7pZHZQgVlVg2RtKggggV11fnH/AMHNviT4saL+wtoml+B5b2Pw9qnjW3g8ZPaJlGgWKSSBJmHKxmdEPoXVAecA/VZnio4PL6laUeZRT07+vl38jzeB8jq8ScXYLLaVb2MqtSKU9nG2t47e9p7uq962qPvP4OeDvg/4P+FXh/wz8DtK0aHwfZ6VCnhxNEdJbQ2m3MbROpIkVgd2/J3Z3ZJOa6hVVQFVQAOgAr8W/wDgjV8edYh/ZFbw98T/ANr/AFXwva6N4kuLTwvo7eNbSxWKx2RyHbHKC5Xz5JsE8dQOBX6tfs0+LNY8Z+HLvXrjXTqmnXLRy6dqInEqTh1JLRuPlZCNpBXjnivDyrifC5jiKeGhSlFteXKrK+nl0Wi6HXxrwtieGuIMbhKtdVXSqSXPd3lru7/a195XdnfV7npdeH/8FK/EfxY8I/sFfFbxJ8DnvU8T2fg66fTpdNj3XES4AmkjHUOsJkYEcgrkcgV7hVHxMWHhvUCvUWMuP++DX0tem6tCUE7XTV+11ufM5XjI5dmdDFygpqnOMnF7S5ZJ8r8naz8j+fH/AIIZfGDxN4M+JHjPwZqn7Q2o+CPCNxoiX1wkHiS30+KfUVmjjiOZgct5RmyF6hRu+6tfrx+ytYeFPH/jrS/FvhH4gHxRDpOo3N7e67Fq0V8bi5a1ktyJpo8qWCTL8owQFXsDnM/4Ji/Av4PfBIa/ovwm+Hem6Fa6n4W8P3+oRWUbH7Rcv9tDSMXJJOABjOB2Ar61jijiG2KNVHooxXwXD+Q1sThsPi5YiXLF8yh0vFvbW34dT9G8UON8HxZxbisfhsN7ONRRjrbmdoJXlbRt+uyXYdRRRX6EflR/NP8As+/Fz4/6V/wVr/4Tb4ofEXVfDHi3UPH19aeN9XuLuKyntIWd0uo2eUbIVWNSgHRQqhei1+j37RGjfsr/ABR+G/i/4j+Mvi9ZeO/EWh+Epf7I16/8S22q6horoxktTZKhxDK135W3au6WTZGdwIQ+6fDz4H/CPSf+Cgt18b9P+H+nxeLtY8aarZalr2xjPPbrpcoWM5JUDEafdAJ2jOaZ/wAFEfgb8IPiV8XNL8X+Pfh7p2q6n4U8HPeeHbu7jYmwnN0T5iAEKTlEI3A4KgjFfktXKa6y6vW9vLljVceXWzfMlzPXfW+3Tc/oDibxIy3iTirL8bRwzwypUIRfs7czcU5OC1S5L+4rvSOri/gPqn4S3njHUfhV4Z1D4i2zQ+IJ/D9lJrsLRhDHeNAhmUqOFIkLDA4FdBRRX6zFcsUj8DrVFVqymkldt2Wyv0Xkgrz79pHSBqfgi0uDpguDY6rHcK+0kwHZIm8Y9nK88YY16DRXLj8J9ewVTD83LzJq/YrD1fYVo1LXs7nL/BbwkfA/wt0bwyxl3QWxdhPjeGkdpCDgDGC5GPauooorahSVCjGmvspL7lYznJzm5dz5X/bY8Uazpf7U3ws0bxDrk9j4Wl8P69c2SyOsdpc64n2VY0kckZkWzkvmRO481gDsJX5v/Z6+O/gbxV8MNRtPGn7aF0ukyeKNctNN0W88b2FtbzaOt/PHbxmEAHymgAA5BZCDnnNfoN8df2fPgv8AtNeAZPhd8evh3p/ifQJLqK5bTdSRigmjJKSKVIZWGSMgjhiOhIPSaN4a8PeHdHtPD+g6Ja2djYW0dtZWlvAqRwQooVI1UDCqqgAAdAK+Wx/DeLxmZVMTDEuCkkrK99Fa2606/Nn1/wDb+VRyCjhVh71ouzbUeWyc5Jp6tylzpSTSsoJpy5rQ8+/Zg8LjStA1fxQGk/4nmoRzLuxsKxwRxBk45B29efavT6AABgCivosvwawGCp4dO/KrX7nymIrPEV5VLWuFeNftVeBX8bXWm6cNLdjfadd6Yt5ApMiLcbA6DqB9xWGR/CewNey0VnmmAWZ4KWHcuVO2vo0/0KwuIeFrqole1/yGW0It7eO3UkhECgn2GKfRRXoHOcz8ab7xvpfwc8Wan8M7Z5vElv4Zv5fD8McIkZ75bdzAoVuGJkCDB4PSv52/+CRvxn+J3hn9ty+l8QfHXWfCVn4kstQl8eaq+ux2T3UqrJKhnkuODJ9pYf7eXYdC1f0lVwXwt/Zc/Z6+CfjLxT8QvhT8JNG0LWvG18LzxTqNjbYk1GffI+98kgfNLI2FwCXJxmvnc7yXEZrXozpVnT5L7Xvr1Vmtem+x+ocE8fZfwrwrm+VV8IqssZCMYy0tFq6fNfWyvzRttNLvdfPnwEj8G/FnxraN4W+LsnjSe312xvdU1Zdfg1GeMW0qzRRyPF8qJ+7IAIBO5sHJ4+wKbHDDDnyolXPXauKdXVk2VSyqlOMqrqOTu2/RLu/zPzvGYtYucWo8qStYK5i9+F2k3vxEh+IUl2/mRIN1tsG1pAu1Xz14Hb1A+h6eivQxGFw+KUVVjflakvJrZnPTq1KTbg7XVvkzmviN8NNO+I0FpFe38lu1pMWDxoGLI2Ny89M4HPb0NdFBDFbQJbwrtSNAqKOwAwKfRThhcPSrzrRjaU7Xfe2wSq1JU1BvRbfMK+Nf2q/GsWkftm61Y/FfxdJpfhyx+EMNz4cW+mSC0KPd3P8Aa86MxAeVFi08PnOxGQ8B+fsquE+OX7MXwA/aXt9FtPjz8KNI8Ux+HdUXUdFTVYC4tbgDG4YIyCMZQ5VsDIOBXBneXVM1y+WHhLlbaflo9n/W57PD2YYDL8dKWNi3TlFxbik5x1TTjzNK91yvVe65Hwh+zD8bfD3jj4FeA2+Kn7YV3q2rXmlWMt34e1fxrYqs1wGVoEe2QKwcMImEYwQ4AI6ivvD9nbwk3hP4chZBMH1HUbm/dJhgqZXzgDA4wARn1rtvslqG3C2jznrsFSVw5VkFXL8Y8RVxDqPl5dVsrp7tvsRmubUsxnN06KpRlJytHZXvotFor29EFc/8VPhX8O/jd8PtU+FXxZ8I2eveHdatxDqmk36ForhAwYA4IIIZVYEEEFQQQRXQUV9HKMZxcZK6Z5NGtVw9WNWlJxlFppp2aa1TTWqaeqa2MH4dfC/4e/CXwNpXw0+G3hCx0fQdEsktNK0yzhAjt4VHCjOSfUkkkkkkkkmt1VVQFVQAOgApaKIxjFJJWSFVq1K9SVSpJylJttt3bb1bbe7fVhXjn/BQbXPHvhv9i74ia38NbzUbbVYPDzk3ejw+Zd21qXQXU0I/56JbGZ1IyQVBHIFex0kkccsbRSoGVgQysMgg9jWdem61CVNO101ftdbnVl2KhgMwo4mUFNU5xk4vaSi07PfR2s9GfmvrXxv8GeHf2oNJ8I+Ef2o38K+HZPhaLm/XSPFVna28pF3F/ZjebJuLloJbxlUHBTa/Qgn6o/ZM+I91441SFPDfxWl8Y6TbW8sN3qjaxHfDeDuAeWL5PMBcDHB2kegr0T4Efsvfs+fsx+Hr/wAKfAL4S6P4W07U9SfUL+10u32rNcMqqXO4k/dVQFHyqBwBXdxxRxDbFGqj0UYr5LLeF8Zg50pTxTtB35Vfl9N+vXTue5nec5XiqrhgqPuKKipSSU5dXKSjdXu7JKTskld2HUUUV9kfLH5VXHxv1bQPhD8L9Y8UfHS/8OePdV+LUkPjO7l1K2tL2C8M92NZgm83It44Y3dRgDYotwPvru958ATeBPjVrV14W0D49TeOdS1C2S1uJm8UW+o3NnbF8HaIhiNMsSSwxnvX0/4e/Zd/Z78KfHDWv2k/Dvwk0a08deIrJbTWvE0Vv/pN3CBGNrHOBnyYskAFti5JxXdR28ER3RQop9VUCvhafB+Ks41MU+VyvZJ2et7vXd+j17n2+ecS5Xja6qYLD8t+ZttRTUpttxjy39yHwx2bV3aN+VPooor7o+ICiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArx/9s39ur9nL9gj4faf8Sf2jvFF9Y2OraobDTLXSNGuNQu7mVYZJ5WSC3RpCkUEMs0j42okbMSK9gr4H/4LceHPiXoHiL4N/tH+D/gt4r8e6R4PXxro2uaH4L0STUr5Jtb8M3en2U32ePLGL7SUid+kaz7jwDQB90+FfFHh7xx4X03xr4R1iDUdJ1iwhvdL1C1fdFc28qCSOVD3VkZWB9DV+vIv+Cf/AMJvGfwG/YW+DnwT+IsezX/Cfww0LSdbi3hvKu7ewhiljyOCFdWXPfbXrtABXM/Gb4veBvgF8Ktf+M/xLv7i20Hw3psl9qc1pYy3MoiQZIjiiVnkcnAVVBJJAFdNXIfH74gaV8K/gn4p+Iet6JrWpWuk6JcTz2HhzRptRvpwEI2wW0CtJM5zwigk0ARfs7fHz4c/tSfA7wv+0P8ACK+urnwz4v0iLUtEnvbN7eV4JPul43+ZDx0PNdpXyL/wQp17Ur3/AIJa/Cjwb4g+H3i3wxrHg/w/HoOuaT4y8L3Wk3SXcCqzlIrlEaSL94NsoG1iGAOQcfXVABSSSJFG0sjAKoJYnsKWkkcRxtIwJCgkgDJNAHiX7JX/AAUK/Zj/AG1/Efi3wd8DPEWsPq3gqW2/tvS/EHhu80u4+z3Ic215FHdRo01tMI5DHMoKttOO2fbq+Av+CQ/xZ1D9p79qD49/tYfFf4QfEbwd458VXljpemaD4x+HuoaRaaR4V06W5h023iubmJI7u5maS4u5/LJCG4RBwmT9+0AFFFFAHiN1/wAFCv2aNP8A2x7L9hbUtZ1218d6nFMdLa68L3kel308Nqt5LaQ37Ri3luEt2WVolcsqnnB4r26vz2+M+neKfib/AMF0fg74p+F3wf8Ai5He+AbfWrL4h614l0q4/wCEMj0KbSHMF3pssha3F7Jdywwl4NsxWORJBtUV+hNABRRRQB5Z+1h+2X8Av2KvCfh3xl+0B4ql0y08V+MbDwvoKW1m9xLd6leOVhiVEBOPlZmboqqSa9Tr8vv+Dg/4JftsfEnxN4C+IHwL/ZeX4m+FPCcujNZw2niYWt1pWuSeJ9Lle4+yrBLJcK1taJbmYbVtorm5lbcqstfp3p017cafBPqNmtvcPCrT26y7xE5ALKGwN2DkZwM4oAmooooA80/aw/au+Ff7GnwoHxi+L1tr1xpsmtWWk2tl4Y0CfVL+7vLuYQwQw21urSSu7sFAUE811Pwk+Jej/GT4aaJ8U/D+ia3ptlrunpd21h4k0abTr+BGHCT206rJA47o4BFeFf8ABWHwh8IfGX7KH2T44+Dvi7rHh+x8V6ZqMh+B9rcS+IbG4t5TLb3UItv36qkyx5eH51JU8KGI1P8AglMv7Saf8E7/AITr+142sn4hf8Iwv9vHxI2dS2+dJ9m+1nr9p+zeR5uefM355zQB9B0UUUAVtZ1jSvD2kXfiDXdQhtLGxtpLi8u7iQLHDEilndmPAUKCSewFeXfsg/tsfAf9uTwJffEn9n+/1u50iyvxbrc634au9N+1o0ayRXVuLmNDPbSowaOZMo4zg8EVd/bW+Gvi/wCM/wCxv8Wfg/8AD4j+3vFXw013SNEy+0G7udPnhhGT0+d15r4//wCDejw1+0P4R+C3jfw98TdN+LNj4Lsbjw9aeCtO+MqzrqlrfRaHax63HAtx+8SwXUFdYFH7oKreX8mKAP0NooooAK+fPhH/AMFLv2efjJ+1lqn7FmieGviDpHjjTLHUb7yvFPw+1DTLO9tbK5S2nuLa5uI1juIvMkQLJGSrhgQTkV9B18ofs5+B/GfxG/4KofHz9pvxp4T1Sw0nwn4X8P8Aw3+H91qWnywJewKj6tqlzbmRQJYmubu3h8xMqWsyM5U0AfV9FFFABXgXxq/4KYfskfs/ftQ+Gf2QfiX4z1O28Y+KH09LVbXw/dXFjZPfzyW9gl3dxoYrVrmaKSOISMC7KQK99r8oP+Ckfwb+OPir/gs18P8Axv4d+BPjrV5o9Q+HbeAdZ0DQpJvDMtraa1fza++uyqPK822tZY5bQzndG77ofmJoA/V+iiigD//Z", 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", 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", "info": {"equation": "10+3*6=28", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "31813d09ec45c989e119b07667d31402c83a234d67f8af5bf6765792e6dad6cd"} +{"episode": 26785, "episode_seed": 1289806165, "split": "train", "timestamp": "2025-10-28T03:45:08.389219", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1289806165, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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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", "info": {"equation": "5+9*9=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": "5+9*9=86", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "01427ded4b889af06b3649d01301b016eb7564ef61b3f62e734ec58dccc9e5e2"} +{"episode": 26786, "episode_seed": 559398226, "split": "train", "timestamp": "2025-10-28T03:45:08.461059", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 559398226, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 7, 6, 4])", "action": "('move', [2, 7, 6, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "74-13=61", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", "info": {"equation": "74-13=61", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "9d0f743e5eed3860dc85d323f878f15e9707dbd4656645c07c13d8a9901bcc00"} +{"episode": 26787, "episode_seed": 4042511378, "split": "train", "timestamp": "2025-10-28T03:45:08.553880", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4042511378, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 1])", "action": "('move', [2, 0, 3, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "8+19*10=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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xjvvBFhL4p0m202w0zW2jPnW1tIuol4052gNubJxnDEZwTXw1XLKzxdSt7aXKsQly9LtxfNvur226H6Rm3H2BzVZaqeHdL6tg1Sly2/eOKl7ktV+6k0uZO71l7rPqOvhH/g40134j6J/wTR1aPwFJdpZ33ivTLXxU9qmcaazSHDnqqG4W1UnvuCnhjX3dWH8Svht4E+MPgPVfhh8TvC9rrWga5Zta6rpd6hMVxE3VTjBHYgggggEEEV99mGGljMFUoRdnJNX9T814Rzqjw5xPg80rU/aRoVITce6i03a+l+qv1sfkh/wSI+Kfixf2RPB3iTx/8S7iyOm/EWbS9Gv7vUo4tlommNFb2Ydv4CSY1Q/MQQB/DX64fDi41e78DaZca6XN09qplMudx9Cc9yME14L4P8C+EPhv+1Do3w78C+HrXS9D0O+gstJ0y1jxFa28Xh50jjUegUAetfStfNcL5ZVwlWtOVVy5ZOFul1b3t/kd3GueUM/zuvjqVFU41pyqJaaKcm1HTtfXzCiiivsT48/D79jLxf8AtEaj/wAHJniq58QrqUl9ceKvElj4iE9sCY9DiglFoGz9yILFYbGHX93jO7n9wa+X/CHwn+G2mf8ABRrXvjNYeDbKLxVqkkun6hrqqfPmtY9KsikJJOAoKr0AJ2jOcCvqCvn+HaLo0a8XJv8Aez39Uv8Agn6J4kcV4Xi7H4KvQw6oqlhqNJpW1cE7tW6a8sevKltsfl5/wdLa58SbD9lz4e6LoD3aeF9Q8Zzf8JG0KfunuEty1okjdgf9IYL0JTPVRWT+x9rvwt+PH7IPww8H/tK/He28VTrodu8ngTxJ4stJLRWhWRLcPZDBby4ArBXztIDEblBH6M/tPeAv2bviR8HNQ8M/tZWPhyfwQ89vJqP/AAlV6ltZpIsy+SzSu6BG8zaB8wyW287sHi/26vhD8Lvij8CNO+GPjzwRp+p+HbvxFp8c2lSRlIXSPc0a/uypABRSACOnpXkcQZLXrVMRjI13FcmsVfWyej1Wjtpvq3oetguN8JLgvLMheHlTnRxE5uvFLmtK3waxbmlLVc0dI0/e10u/8E8bjUrj9jDwEL6S4e3h0uWDRJLqII8mkx3EsenvgcENZrbkN/ECG717PXF/s42lrp/7P3gjT7C2SGC38J6fFBDEoVY0W3QKoA6AAAAe1dpX12Ci4YOnFu9orX5I/NM0xUcbmdfERjyqc5St2vJu3yuePftja7oXhDwKnjPUhmbTYbiYRgLmWNY9xXJI5LBAB3Ldq1/2PoNIh/Zq8IzaSGD3Ol/adT8yNFc6hI7PebwjMA/2lpgwDNggjJxmuB+Ndinx8+OugfCmBZH0yG6e61R1IAENkRKeqMCGu2tEI4JUMQe1dP8Askwar4ct/FPgfUAv2eDX5L/TgHXMYuBuni2hQRi5WaTJ3Z88c8YHy+X4mnLiOrV5Vy1bxi+7pqN/v19bHViKUllsYX1jZteUr2/rzPYaKKK+xPGPx0/4Oqdf+JkOsfB/w9BLeJ4TaLUrpRGn7l9TVoVBYjrIsTfKD0Ej46mv1Y/Zx1Hxzq/7PXgPVvidFNH4luvBmlzeIUuIRHIt81pEZwyDhW8wvkDoeK8b/wCClvwm+Gvxg8DeGtE+KHgyy1yz06/vtSsra+VikV3DYy+XLgEZK7jwcg55Br6N0RmfRbNmOSbWMk/8BFfP4Ck4Z/i5czd1T0+T/wAvxP0TiDivC5pwDlGTQw6jPCyruU9Pe55Jq3X/ABX3aVjjf2pdU8caH+zR8Qda+GbXa+IrTwVqk2htYQ+ZOt2trIYjGv8AE4cLtHc4r5X+DXj/AMZp4c+Lifs2eIbnVoNK+ANjdeHJLFY7kLrH2fUGsdjjJeaSIQuUJOQYmx84J+5D04r5f/4JofCX4a/CDQPEukfDHwXZaJbanBpepahFZKR9ou5YpfMmYsSSx2j2GAABUZlQlUzzCSUmtKi0/wAO/wCP4Hj5NmeBweTV41aKnUjKEo3ScXeUbqXXRRtFK/xyvbr8K/8ABq1rnxJvdf8AjNY3zXc3h2RNMuri4njyp1NnuAT5h5LtHksPYE9s/sVXy9/wTX+E3w2+Etl4qs/hr4MstGj1m30vVNUWzVv9KvJRc+ZM5YkljtHsMcAV9Q1rwzB08kpK99//AEpno+J3EuG4u42xWa0KPsoVOS0dL+7CMbu2l3a55z8WPhr+zB4u+LfgDxX8ZdG8L3HjPRb26f4cy6zdRpeLOY1M/wBkRmBmYKqMQA23aG4IBr0OO3giO6KBFPqqgV+HH/Bwz8SPjz4R/wCCnvw91PQfEeqaTD4f8PabeeAr23cRLb3L3chmmiY/Lv8AMRAxbsiBvlxn9F/2cPi3a+I/H1t4f8E/tKXPjedrqKW6spfFdvqLQRAlWbbCAVQhjknjIHTFefU4owuGzKphpUXzcyV0lrsrv9N9LHocScDYvKuGMozGWLVSOJpTmoNv93aV+WOr0fNd7e/z+p9Z0UUV9cfmR89f8FYNc+JPhv8A4JyfF/WfhK92mtxeD5gkljHuljtmdFunXuNtsZm3DlQCRyBXyV/wa3ap4/uv2RPHema3FP8A8I7a+O86BJJCAhme1iNyqN1YDEJI6AsfU1+inxqghuvg34ttriMPHJ4Zv1dG6MDbyAivK/8Agnl8Lfh58Gvg7rHw++FnhG00PRbPxQ722nWQbYjSWVm7nLEkksxJJJ618/iaLfElCpzP4J6dNGv/AJL8EfomXcV4XC+GWO4flh06lWvTqKppoktV3uuW0elpz26+9V+C/wDwUN+JXxr8Pf8ABwHba1q/jbUfDx0vxBotjoOrfaI7b7FocttGszRSSfIkZWe8Jc9GeQ9Rx+9Fec678Nf2X9R/aZ0b4k+IdG8LyfFe08NzW2h3NzdRjVRpZdhIY4i25ogzuC4U43sMjcQds8y2pmmGhThU5GpJ39L7eet15i8OeL8NwfjsbXrYX26rYarSSstHNLV3+zpaX91v0PijXrX4NeI/iV4S+MngX4k2/jj4j2vxD8N2Oi+I31y31bUoImvdktnGyH91AbObUXdFA+UyyHJQMv6O18u/Gn4RfDHVf2+vCHxf1LwRYTeJ9FtdKs9J1p4z51pBLLqHmInO0btzAnGcMRnBNfUVcXDeFnhPrNOdRzaqWu+vuxd93vf8Dws/zKnjsHg6cbtwg7uXS7soR1fuRUbx21lL3V1+G/8Ag4i1z4k6J/wTL8Qj4fPdpbXniHTbbxRJaR526a0p3Bz1VGmFupI67tp4Y18lf8EtfGPgz4hfsGaF8K/j5+0Kf7LbWLqytfAWpeLrW3tLqyW5V4oXtTiSSN5i+VJ/eZ2kFTg/qX+2V4U8O+Ov2avE/gzxfpEWoaVqsVta6jYz52TwvdQq6HBBwQSOCDXl1r8JPhnb/wDBN+/+D1v4JsI/DCx32ljRY4ysIszq0sZh4O7GwkZznvnPNebn2X1sXm03Cs4Wotu3VJ/DutGfYZVxng8N4e0sieHtUWLVX2qtdLktdbPnT2d0rWV1ua//AATRsrLRvgh4i8M+FbVIfCelfEXWbXwZFbwIlvHZCVXlSDZw0SXr3qKe2zb0UV9EV5V+xV4N8K/Dv9nTR/AvgfQrfS9H0nUNTttN0+1UiO3hXULgKi5yfxJJPUkmvVa+nyePJlNBXv7kfyR+f59i4Y7OsRXgnaUnvu9d5f3pby/vNn50ftRfF3VPCPxJ8dXfiL4wXvhjxFH8ctD0/T7g6hb2strpTxWQVYTLkJA1m17IZMfe845ypx7J+zPP4Q+KHxKstT8N/GSXxtPpt/HdX+pnxBBqMsKpFKIoneIYRMu5AIBJZuTX0DqH7PfwT1X422f7R+pfDXS5vHNhoraRZ+JpIM3MVkzMxhBzjGXfnGQHYA4JFdhHDDDnyolXPXauK8KHDGI+vuvPEPl9pz8tnZ63V9bX6bPQ9fNM/wAuxOGpU8NQ5ZKCUm0l73KotRtvBct1ezvKV+7dRRRX158keUzeCjeftQReIhYPCLWP7a00anbOTaNagsT7ORxj7g98+rUUVxYLBrB+0tK/POUvS/T5G9es63LpayS+4KKKK7TA8p0fwS037Tl94maweAWsL3JeMHZM0kEUIZiep2pjjH3PY16tRRXFgcGsFGaUr80pS/8AAne3yN69Z13F2tZJfcfl5/wdLa58SbD9lz4e6JoD3aeF9Q8Zzf8ACRtCn7p7hLctaJI3of8ASGC9CUz1UVY/YI+MUXxB/Zt+GEfxP/agvNc8Ty6JDjwrqXi+2lPmrvSAC1X94ZBEEIBJbucnNfof8bPgX8Iv2jfh9c/Cr44eArDxJ4evJopbjS9RQmNnicOjZUgghgDkEdx0JFdLZaVpmnW8Vpp+nQQRQRqkEcUQVY1UYCgAcAAYArwMz4bxOY4+pWjiHCMklZXd7aNPVaf5s/Q6vHWBl4f4Lh9YRe1oVqlR1NNVPa2jd9bS8oQs30y/hr4eHhL4d6F4WBkP9naRbW2ZcbvkjVecAc8Vt0UV9TTgqdNQXRWPzaT5pNnP+Efh7pvhDW9W1uzuWkfVLjzNjKAIVySVHr8zE5+npknhT4e6b4T8Qat4gtLl5H1SbfsZQBEMlioPfLEn8vqegormhl+CpcnLBLkbcfJyvf77s1liK0ua8t0k/lt+QUUUV2GJ5d+1J4SPi/w3p2nLpzymW5ltlniUl4TNE0fy9uQxHIPOK9MsrYWdlDZqSRFEqAnqcDFS0VxUcGqONq4jmv7Tl07cqa/G5vOs50IU7fDf8Tg/2pdU8caH+zR8Qda+GbXa+IrTwVqk2htYQ+ZOt2trIYjGv8Thwu0dzivhDQfjZ4D0f4z/APCMeHP2srjwz4di+GOiTxLYeLrOzjuJXluPJkLyZaSRrcKxGeFKN/GCf0rrjPg1+zv8EP2etC1Dwz8FPhjpPhuw1XWJtV1C10232pPeS7RJKc55IVRgcAKAAAMV5Wc5LiMzxNKrSrOnyprS99bbWa+ep7+V5xl2Cyivh61HnqSd4Oytra/M3r7qj7lk9ZSvbrx37HmgaLB4avfF3hy/W607Ubazt9PuYZ1lhmghWQpIjrkOD5p+YEg44717JSKqooVFAA6AClr1MtwSy7Aww/NzcvXa+tzwMTX+s15VLWucd4+/Z9+CvxS8f+Ffin8Q/htpmr+IfBFxNP4U1a8h3S6bJKFEjRnOOdinkHBUEYIzXXR28ER3RQIp9VUCn0V2KEIttLV7+fqKpiMRWpwp1JtxgrRTbaim22kuibbdl1be7CiiiqMTN8ZWA1XwjqultZrcC502eI27ZxKGjYbTjnnOPxrjf2aPDTeH/At3dOkqHU9We62SjG0CGGAYGM4xCDz3Jr0SiuKeDU8fDFc3wxlG3q07/gbxruOHlStu07+lwr8Gv+Cg3xU+OvhT/g4Ch1m+8f6r4aOn67o2m6Lq0d4lp9k0Ga2iE/lySfIsTLNdlmPG5nPUcfvLXHar+z58Fdc+NWnftF6v8NtLuPHGk6PJpem+JZYM3NvZuWLQqc4wS784yA7AHDEHjzvLKua4eFOnU5GpKV/S/wCPVeZ914ecZYPgvG4yvicMqyr4erRSdtHO1m7/AGdLS62b9D56/ZvuPB/xU+JVleeG/jRL43n06/hub7Um8RQajLbpEsrRRO0QxHHuZyAQCSzYNfW1Njhhhz5USrnrtXFOq8nyuWV0JwnUdRylzNvfZLu+3c+JxmKWKmmo8qStb+rHg3/BQbXNX0P4ZeEmi1O4stFuviVo8Hie5hACLaFpGhWVz9yJ71bONjxnft6Ma+V/hJ8avBPiTUvFeh+Jf2sJP7Pg+I+o22jeF5/GFlDaywLMjeUIBh3T7UZwDnL4HJ4r9B/iL8O/BHxb8C6r8M/iT4atdY0HXLF7PVdLvE3R3MLjDKccj2IIIOCCCM0eA/h14F+GHgzSvh38P/C1npWiaHYRWWk6daQhY7aCNQqIvfgAcnJPUkmvNzbh/E5lj/bwxDppx5dL93putH+Z7+FzvLsPkSw0qHNWUt7Ll5d731fPf3drcvW5lfAnw63hj4X6fp8glDTTXN26zDDAz3Ek2MYHHz8e1dfRRX0OFoLDYaFFO/Kkr+isfM1Z+1qyn3bf3hRRRW5mFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFeRj9uL9m8/thH9hMeNJ/wDhYw8Pf2udO/syf7N5e3zPI+07fK+0+T+/8jdv8r58bea9cr860+EHxlH/AAXHYn4S+Jf7B/4Tk/ET/hOf7Lf+yP7MPgVfDv2P7V9z7V9uB/0fO7y/3mMc0AfopRRRQBwP7T/7Svwp/ZA+BPiH9o3426le2nhjwxarcapNp2my3k4VpFjUJDErO5LOo4GAMkkAEjsvD2u6d4o8P2PibSJGe01GziurV3QqWjkQOpIPIOCOK8M/4Kp6/NoH/BOL41rZeEfEWvXmqfDjVdH03SPCugXGp31zd31u9nAqW9urSMvmzoXYAhEDOcKpNegfsp+L7Xx7+zR4D8W2Whazpkd54TsSNP8AEOkTWF9blYFUpNbzKskLgqcqwBFAHf0UUUAeSfCr9t39n34y/tH+Nf2UvBevap/wmngO2W51ix1LQLq0huIDKYHmtJpo1ju445h5LvEWVZPlJzXrdfF37MHxLvPjZ/wVy+NfiXx38MfHeg3fgbwnB4M8AT6r4IvbXSL7SIrmK51C/j1GSMW9xLcXs0aRxI5IhsN+DvbH2jQAV5Z+19+2N8E/2HfhOfjV8e7rWodBS9FvNNoXh261OWEeXJK80kdsjtHDHFFJJJKwCIqEk9M+p18g/wDBcWGPxD/wT38YfC+H4dfFTxHqXi+0m0zw3b/CfT57m5TVzbyyWK3qwnP2CSdI4pvMDQlZNsg2sTQB9baVqmna5pdtrekXaXFpeW6T2s8ZyskbqGVh7EEH8asVi/DaDxJa/DrQLXxja28Grx6LarqsNogWKO5EKiVUC8BQ+4ADjGK2qACvOvhD+1R8GPjp8VviR8GPhr4hmvtc+FGtWmleM0No6RW13cWq3KRpIRtlIjYBtudrAqeRXotfnl/wRX+Fn7Xfwm/aR/aS0/8Aal/ZyHhC51rWNE1SXxHD4iF/B4h1CaO7lubiJlgjUhvNViqs/k7lhJJTcQD9DaKKKAPJv2jP2zPhN+zF458CfDjx5oXi/U9Y+ImozWnh6z8JeEbvVmTyXt1mnuPsyN9ngQ3MO6V8IobJIxXrNfC//BaDwv4w1PUvg/4p+B3hj4vy/FnTPFaQfDbWfhxBMdJtJp9R0v7bFrjxfKllJawyEib9ywikz84QV90UAFNmmhtoXuLiVY441LO7tgKBySSegp1c58YvDGr+NvhF4q8GaBMI7/V/Dl9ZWUjNgLNLbvGhJ7YZhzQByn7Kf7XnwT/bQ+H138UfgNqmqXuh2mry2CXup6Fc2Iuyio63FuLhEM9tIjo8c6ZSRWyCcHHp1fAv/BvN4I+P/wAN/wBkTWvAfxk0v4kWGlaLrWnaf4X074piYajavBoenQ6pHAJvmWwXU0vVtgPk8sfu/k2199UAFeKfHP8Ab3+CP7O37Qvgf9mz4k6F41TWfiFe2ll4d1jT/BN7c6Mbq5mliit5tQSMwQzEwuxjZgwQByNpBr2uvm/9qDwj4r+K37dn7OngqDw3qM/hjwhd+IvHWv6iLKQ2cV5a6eNM0+F5cbBKz6tPKiE7iLZmAwpoA+kKKKKAOa+Mnxc8A/AL4T+I/jb8VNcGm+G/Cei3Gq65fmJn8i1gjMkjBVBZjtU4UAknAHJrC/Zd/af+E37YPwbsPjn8Fr/UJtFvru6tGh1jSprC8tLq2ne3uLe4t51WSGWOWN1ZGAIxXI/8FL/DfxC8Y/8ABPf40eE/hR4SbXvEWp/DbV7XS9GjtRPJeSPaupijjbh5CpbYvd9tcB/wRd8Ja74L/YZs9Hv/AAX4s0LSZPHPia68I23xAspIPEE+jTaxdS2dxqSy/vTdyRuHdpf3jZUtyaAPq+iiigDyNf25P2b3/bDb9hRfGdx/wsVNA/tZtP8A7Ln+y7Ngl+z/AGrb5P2nySJ/I3b/ACjvxt5r1yvzv8Yfs3/EbUP+C/nhX4m+A5vHX/CLWlnceLvHNvf+DBFoEd4PDcuhW09tq2/9/NIskUTWQUGP7PLKThkr9EKACvNvjP8AtY/Bn4CfFL4c/Bv4i6tfw698VNcn0nwhb2mlTTxy3EMPnP5sqKUgULgAuRuJwM849Jr5B/4KnfE1fA3xF/Zns1+GnjrxB5Xx5tNXvp/B/gq91aLT7OCwvLWSW5e2jcW6+bfwY3kblEjDIjbAB7H+y1+3F+zh+2VfeM9O+AHjSfVpfAfiBtI14XGmT2wMgLqs8BlVRcW0jRSqk6ZRzDIATtNet1+df/BCv4PfGX4eeJPHg+KPwk8R+E18IeCPDHw7mfxBpj2yaxqekXmuTXV5aFv+Pi1KahbFLhcq+9gD8pr9FKAP/9k=", "info": {"equation": "8+19*10=198", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "5465a9fdcd45e81b86844bf1a1d6f4dfc7775d12f5d3bcdc6e31b5694775487a"} +{"episode": 26788, "episode_seed": 1370887346, "split": "train", "timestamp": "2025-10-28T03:45:08.623162", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1370887346, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 0, 8, 1])", "action": "('move', [3, 0, 8, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "12*19=228", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 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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Upa3bqSUIPDKDwe1eNxFTdXJK6Tt7t/u1t87WPtPDfiLDcJ8b4LNa9L2sKcneOl/ei43V9OaN+aN7aparc84/4IPav8S9Y/4Jg/DuT4mQ3CvbpeW+htcwCNn0xLmRbYgDGV2DCseqhTyME/YNeZ/sc6NpXh39mnwp4e0HTobOxsLKW2srS3QLHBDHPIqIoHRVUAAegr0yuzLI8mXUY3vaMfyR4fE2ZU854jxmPhTVONWrOaitoqUm7fK5+Rv/AAdUeI/ixa+DvhP4W06W9TwReX+oz6qIo/8AR5dTjWIWwkYfxCJ7gqp65cjOOJP+CcPx3j8VfsQ+ENP+Pf7Y1/bXAsrjT5PDupeOrO3jOmRyvDBA8LfP5ZgVVwSGK9+Qa+8P+Chvwk+G3xv+GnhX4efFnwfa67ol143ikuNOvC4R2TT75kOUZTwwB4Ndp+yNoei6R+zT4M0nS9Jtre1tNEjgtbeGEKkUaEqiKB0AUAAegr5LG5TiMfxFWjTryp3hF6X22tutNL/M/QcVx5gKvhZgOH/qa9pQrTk6mmqfM1bRvmfPaV+kI7/Zi/Zg8LjStA1fxQGk/wCJ5qEcy7sbCscEcQZOOQdvXn2r0+gAAYAor6/L8GsBgqeHTvyq1+5+UYis8RXlUta4V85ftueKbL4e2914t0Oz+1auNNRLWwRU/wBKvZJBDaRfMygs8romCRxjmvoXVdTs9F02fVtQl2QW0TSSt6KBk/U18wN4Tv8A9pf9oKc3cMq6d4YsG1xizqqtqEvmW+nRHKHcI40uZGwQQwhPOePA4qf1qhTwNNc1Sbul2UU2389vmz0MpXsqkq8naMVb5v8Aq57J+ybYeDtO/Zs8Fx+BLkz6fLoMNx9pkjVJbi4lHmXEsqozBZnmaVpACcOzDJr0OvEf2ORq3hgeJ/h5dhf7OTWJNV0RQ6g263J33UBQIpGLrzZQSWyLjGRtxXt1e1lOLpY3LqdWnomlp2a0a+TOLF0ZUMTKEu4UUUV6JzH87f7dvjr9qV/+C6WoatbJqsnjLSPihp9r4EtTaBmFkk0f2BIoz8rRvEyt6N5js3LNX9ElfHXx8+Cfwl8Rft4ad8bdd8A2F34s0PWPCtpo+uzKxmtIXvBuVOdoz5j84z8xwa+xa+Y4eoOjisZeTf7zr6X+/X8D9T8R+NcHxbluT0KGGVF4XDqnJq3vPRaW+wuW8U9U5S9WV/OB+3b8UP2idH/4LT+J/F/iDxPqmkeJtH+JyWnh2+lKQPY6Wsojs2iL/IkZtHRwx4IkLnlia/o/ryrX/hL+x7qH7V+j/E/xJoPg5/jHbaA8eiz3N5ENXOn/AL1GeOAvudAGmTzNhwCy7sDFdWfZXUzWhThCpycsk7/5ea6E+FvHGE4HxuOrV8H9YVbDzppWTs3Z+9f/AJdu1p+Vnrax8gePtL/ZG+PDSR/Gv446T8SbXSdLvmhtfFXjS01CLTbZ4wLm5jjQqI2EajM5G6MAlWXJJ+tP+Cf+qeOdZ/Yr+GepfEdr1tWk8JWvmSalaiG4khC4t5JUAAV2gETMMDknIB4rzz/go/8AAv4P/G+TwX4e+Lfw807X7GxXVb60tL6NtiXCRQBXwpG7AZhg5BzyDXvvwV/5I54S4H/Is2HQf9O8deVkOBq4LOsTCpVc2ow1fW+vd7WstT57M83pYjhihhVzN87lZ25aajzK1PV/G5c09Iq8Y/Fuumryv9qP4Ufsf/FGy8Lxftc6J4Pu4LHxHE/hP/hLb2KBTqTA7I4TI6+a7gf6r5g+0ZU4GPVK/Db/AIOjPFHxdH7VngHwzqd1fxeDbXwZ9s8OKFKwNqLXMq3bqw+9IqJaA91BXGN3Pt55j4Zdl0q0oc6ulZ7avr/W9j1fCvhTEcZ8Z0cuo4p4aTjOXtI35lyxekbNXb2eq93mfSx+4v2S1DbhbR5z12CpK/N79jv9pa+1z4J/D7xL8Tv219Qu/F2oeH7RtW0bUfHdkfNupY9vlvAAH3HcPlzu3Y719/8Awnu9cvfAOn3PiFpGuWRvnmzvZNx2ls8524+tcuVcRYbN8S6NKnJWV7u3dK2jfc+UzfJa2T16lKpOMuSbheLunZtXXk7aHRV+cf8Awc2+I/ixov7C2iaV4HlvY/D2qeNbeDxk9omUaBYpJIEmYcrGZ0Q+hdUB5wD+jleQ/t1+CPCfxK/Zn1jwD480GHVNG1bVtHt9S0+43eXcRHVLXKttIOOB0Irtzqm6uUV4p291/gr/AI7Ho8DZ5Q4a4wwOZ1qXtI0qkZOPdbXV9OZX5o/3kj8t/wDgjZ8eNXT9kN/DnxR/a/1Xwva6P4jubPwxo58a2lisVh5cch2Rygvt8+SbBPHUDgCv05/ZA8L6JHFe+OfDdwsum3Wj2NhpkttKslvLbxGV0aNxneMSj5gSCMVN+wn4B8FfDv8AZ+g8CeB/DFnpmj6Tr+qW2m6faxYjgiW8lwozk+pySSSSSSTXsyqqgKqgAdABXgZFkVaDw+NqYiUko3UWtFzR2Tu9r9uiO3jfifD8Q8Q47F0MOqUa1SUrK17c19bL4nvLzbFrw/8A4KV+I/ix4R/YK+K3iT4HPep4ns/B10+nS6bHuuIlwBNJGOodYTIwI5BXI5Ar3CqPiYsPDeoFeosZcf8AfBr66vTdWhKCdrpq/a63PlsrxkcuzOhi5QU1TnGTi9pcsk+V+TtZ+R/Pj/wQy+MHibwZ8SPGfgzVP2htR8EeEbjREvrhIPElvp8U+orNHHEczA5byjNkL1Cjd91a/Xj9law8KeP/AB1pfi3wj8QD4oh0nUbm9vddi1aK+NxctayW5E00eVLBJl+UYICr2Bzmf8ExfgX8HvgkNf0X4TfDvTdCtdT8LeH7/UIrKNj9ouX+2hpGLkknAAxnA7AV9axxRxDbFGqj0UYr4Lh/Ia2Jw2HxcsRLli+ZQ6Xi3trb8Op+jeKHG+D4s4txWPw2G9nGoox1tzO0Eryto2/XZLsOooor9CPyo/mn/Z9+Lnx/0r/grX/wm3xQ+Iuq+GPFuoePr608b6vcXcVlPaQs7pdRs8o2QqsalAOihVC9Fr9Hv2iNG/ZX+KPw38X/ABH8ZfF6y8d+ItD8JS/2Rr1/4lttV1DRXRjJamyVDiGVrvytu1d0smyM7gQh90+HnwP+Eek/8FBbr436f8P9Pi8Xax401Wy1LXtjGee3XS5QsZySoGI0+6ATtGc0z/goj8DfhB8Svi5pfi/x78PdO1XU/Cng57zw7d3cbE2E5uifMQAhScohG4HBUEYr8lq5TXWXV63t5csarjy62b5kuZ676326bn9AcTeJGW8ScVZfjaOGeGVKhCL9nbmbinJwWqXJf3Fd6R1cX8B9U/CW88Y6j8KvDOofEW2aHxBP4fspNdhaMIY7xoEMylRwpEhYYHAroKKK/WYrlikfgdaoqtWU0krtuy2V+i8kFefftI6QNT8EWlwdMFwbHVY7hX2kmA7JE3jHs5XnjDGvQaK5cfhPr2CqYfm5eZNX7FYer7CtGpa9nc5f4LeEj4H+FujeGWMu6C2LsJ8bw0jtIQcAYwXIx7V1FFFbUKSoUY019lJfcrGc5Oc3LufK/wC2x4o1nS/2pvhZo3iHXJ7HwtL4f165slkdY7S51xPsqxpI5IzItnJfMidx5rAHYSvzz+y/+0h4bm8FS6vq/wC29e2lvaeMdYTQdOuPG9hbQnTItRmW0XycZ8oxKoGTlkwc85r78+Ov7PnwX/aa8AyfC749fDvT/E+gSXUVy2m6kjFBNGSUkUqQysMkZBHDEdCQek0bw14e8O6PaeH9B0S1s7Gwto7aytLeBUjghRQqRqoGFVVAAA6AV8vjuHMXi8zqYmniXTUktr30VrbrTr6s+u/t/Klw/Rwv1e9aOjbUeWyc5Jp6tylzpSTSsoLWXNaHMfAXVde1jwN9t1y5lnDXT/ZJ5mLNJFgHOT1Gc4NdrQAAMAUV9HgcNLB4SFGUnJxVrvqfKV6irVpTStfoVNe0a08Q6LdaHfZ8q6gaNyvUZHUe461nfD7wPaeAPD40O2u2uGaVpZp2TbvY4HTnAwAPwrcoqpYXDyxKxDj76TSfkxKrUVN009HrY5jwf8LtK8HeJdR8SWd48jXxIjiZABCpbcyg9/m/QD6109FFGGwuHwdL2dGPLG7dvNu7CrVqVpc03dhRRRXQZni3xG+Hx8R/tB6dKNMkiEl5pt7JdQKf3os5VmUsTkYDLtOMcMO5Br2miivPwOAWCqVpqV/aScvS6Wh0V8Q68YK1uVWCv5xf24/i7+0r4Z/4LVeKfGmp+MtY0LxRpPxJFh4f1DzVtpLPSDIIbXyy3yJE1nIp3H5WWVmb7zV/R1XB6t+zB+z9rvx30/8Aad1j4TaPcePtL002Fh4okt83MNuRIpQHOM7ZZF3EbgrEZxxXHnuU1s2o04U6nI4yTv8A11XQ/RvDHjzAcB4zG1sVhVXVehOklpo3ZpO/2JWtNLW1tHax8seFvGPw9+IPikaPo37SkvjrVHtZodPsLjxhbajLCj4EjRRQgNkgLk4PAFfaHgvQU8K+DtJ8Lxu7LpumQWqtIQWIjjVMnHGeO1aCW1vG26O3RT6qgFPqcnyWpldWpUqVnUlO2r8r+bvufAYzGxxUIxjBRUb7efyQVwnxx/Zj+AP7S1votp8efhTpHimPw7qi6joqarAXFrcgY3rgjIIxlTlWwMg4Fd3RXtzhCpFxmk12epz4XFYrBV1Xw9RwmtpRbi100as1poR/ZLUNuFtHnPXYKkooqzAK+a/+CiHiLXdF1P4R2F1q9zY+FL/4hGPxHPEQkMtwtjcPp0M7k/LG94sWB0aVYl5LBT9KVz/xU+FXw6+N/wAPtU+FPxZ8IWeveHdagEOqaTfoWiuEDBwDggghlVgQQQVBBBFcOZYSeOwFShGXK5K1/wCunR+R6uSY3DZfmdOviI80FdOyTaUouLlFPRyjfmjdr3ktVufnn8J/2gfD0/jz4m6bfftn32g6Rp3j6WDQNPt/GljZQon2S2kuhGrAs6C8e5G8k5IYZ4r7h/Zp8Wax4z8OXevXGunVNOuWjl07UROJUnDqSWjcfKyEbSCvHPFdb8Ovhd8PPhJ4F0r4Z/DbwfY6PoOiWaWulaZZwgR28K9FGck9ySSSSSSSSTW6qqoCqoAHQAV4mVcPYvAYinVqYqU1FW5dbbW7vRdNOiOzOc2wWOrVFhqChB2SenNaKSvKytzSteWr1b3Frxz/AIKDa5498N/sXfETW/hreajbarB4ecm70eHzLu2tS6C6mhH/AD0S2MzqRkgqCOQK9jpJI45Y2ilQMrAhlYZBB7GvpK9N1qEqadrpq/a63PLy7FQwGYUcTKCmqc4ycXtJRadnvo7WejPzX1r43+DPDv7UGk+EfCP7Ub+FfDsnwtFzfrpHiqztbeUi7i/sxvNk3Fy0Et4yqDgptfoQT9UfsmfEe68capCnhv4rS+MdJtreWG71RtYjvhvB3APLF8nmAuBjg7SPQV6J8CP2Xv2fP2Y/D1/4U+AXwl0fwtp2p6k+oX9rpdvtWa4ZVUudxJ+6qgKPlUDgCu7jijiG2KNVHooxXyWW8L4zBzpSninaDvyq/L6b9eunc9zO85yvFVXDBUfcUVFSkkpy6uUlG6vd2SUnZJK7sOooor7I+WPyquPjfq2gfCH4X6x4o+Ol/wCHPHuq/FqSHxndy6lbWl7BeGe7GswTebkW8cMbuowBsUW4H313e8+AJvAnxq1q68LaB8epvHOpahbJa3EzeKLfUbmzti+DtEQxGmWJJYYz3r6f8Pfsu/s9+FPjhrX7Sfh34SaNaeOvEVktprXiaK3/ANJu4QIxtY5wM+TFkgAtsXJOK7qO3giO6KFFPqqgV8LT4PxVnGpinyuV7JOz1vd67v0evc+3zziXK8bXVTBYflvzNtqKalNtuMeW/uQ+GOzau7Rvyp9FFFfdHxAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFeP/ALZv7dX7OX7BHw+0/wCJP7R3ii+sbHVtUNhplrpGjXGoXdzKsMk8rJBbo0hSKCGWaR8bUSNmJFewV8D/APBbjw58S9A8RfBv9o/wf8FvFfj3SPB6+NdG1zQ/BeiSalfJNrfhm70+ym+zx5YxfaSkTv0jWfceAaAPunwr4o8PeOPC+m+NfCOsQajpOsWEN7peoWr7orm3lQSRyoe6sjKwPoav15F/wT/+E3jP4DfsLfBz4J/EWPZr/hP4YaFpOtxbw3lXdvYQxSx5HBCurLnvtr12gArmfjN8XvA3wC+FWv8Axn+Jd/cW2g+G9NkvtTmtLGW5lESDJEcUSs8jk4CqoJJIArpq5D4/fEDSvhX8E/FPxD1vRNa1K10nRLieew8OaNNqN9OAhG2C2gVpJnOeEUEmgCL9nb4+fDn9qT4HeF/2h/hFfXVz4Z8X6RFqWiT3tm9vK8En3S8b/Mh46Hmu0r5F/wCCFOvale/8EtfhR4N8QfD7xb4Y1jwf4fj0HXNJ8ZeF7rSbpLuBVZykVyiNJF+8G2UDaxDAHIOPrqgApJJEijaWRgFUEsT2FLSSOI42kYEhQSQBkmgDxL9kr/goV+zH+2v4j8W+DvgZ4i1h9W8FS239t6X4g8N3ml3H2e5Dm2vIo7qNGmtphHIY5lBVtpx2z7dXwF/wSH+LOoftPftQfHv9rD4r/CD4jeDvHPiq8sdL0zQfGPw91DSLTSPCunS3MOm28VzcxJHd3MzSXF3P5ZIQ3CIOEyfv2gAooooA8Ruv+ChX7NGn/tj2X7C2pazrtr471OKY6W114XvI9Lvp4bVbyW0hv2jFvLcJbssrRK5ZVPODxXt1fnt8Z9O8U/E3/guj8HfFPwu+D/xcjvfANvrVl8Q9a8S6Vcf8IZHoU2kOYLvTZZC1uL2S7lhhLwbZisciSDaor9CaACiiigDyz9rD9sv4BfsVeE/DvjL9oDxVLplp4r8Y2HhfQUtrN7iW71K8crDEqICcfKzM3RVUk16nX5ff8HB/wS/bY+JPibwF8QPgX+y8vxN8KeE5dGazhtPEwtbrStck8T6XK9x9lWCWS4Vra0S3Mw2rbRXNzK25VZa/TvTpr240+CfUbNbe4eFWnt1l3iJyAWUNgbsHIzgZxQBNRRRQB5p+1h+1d8K/2NPhQPjF8XrbXrjTZNastJtbLwxoE+qX93eXcwhghhtrdWkld3YKAoJ5rqfhJ8S9H+Mnw00T4p+H9E1vTbLXdPS7trDxJo02nX8CMOEntp1WSBx3RwCK8K/4Kw+EPhD4y/ZQ+yfHHwd8XdY8P2PivTNRkPwPtbiXxDY3FvKZbe6hFt+/VUmWPLw/OpKnhQxGp/wSmX9pNP8Agnf8J1/a8bWT8Qv+EYX+3j4kbOpbfOk+zfaz1+0/ZvI83PPmb885oA+g6KKKAK2s6xpXh7SLvxBruoQ2ljY20lxeXdxIFjhiRSzuzHgKFBJPYCvLv2Qf22PgP+3J4EvviT+z/f63c6RZX4t1udb8NXem/a0aNZIrq3FzGhntpUYNHMmUcZweCKu/trfDXxf8Z/2N/iz8H/h8R/b3ir4aa7pGiZfaDd3OnzwwjJ6fO6818f8A/BvR4a/aH8I/Bbxv4e+Jum/Fmx8F2Nx4etPBWnfGVZ11S1votDtY9bjgW4/eJYLqCusCj90FVvL+TFAH6G0UUUAFfPnwj/4KXfs8/GT9rLVP2LNE8NfEHSPHGmWOo33leKfh9qGmWd7a2VyltPcW1zcRrHcReZIgWSMlXDAgnIr6Dr5Q/Zz8D+M/iN/wVQ+Pn7TfjTwnqlhpPhPwv4f+G/w/utS0+WBL2BUfVtUubcyKBLE1zd28PmJlS1mRnKmgD6vooooAK8C+NX/BTD9kj9n79qHwz+yD8S/Gep23jHxQ+npara+H7q4sbJ7+eS3sEu7uNDFatczRSRxCRgXZSBXvtflB/wAFI/g38cfFX/BZr4f+N/DvwJ8davNHqHw7bwDrOgaFJN4ZltbTWr+bX312VR5Xm21rLHLaGc7o3fdD8xNAH6v0UUUAf//Z", 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", "info": {"equation": "12*19=228", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "d7bb34771df99303d1b967a1c2b6addb47acecfa4f07dec005d397b4220c1c50"} +{"episode": 26789, "episode_seed": 1742796994, "split": "train", "timestamp": "2025-10-28T03:45:08.690392", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1742796994, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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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4o1qy8CSvGoV9Civ5ks/LK/6yERjbG/O+NUbLAhj9E15n+xzo2k+HP2aPCfh7QNOhs7CwspLaytLdAscEMc8iJGoHRVUAAegr0yvsssi4ZdRi3e0Y6/JH5XnmMhmGc4jExjyqc5O3q3v59/M/I3/g6o8R/Fi18HfCfwrp8t6ngi9v9Rn1URJ/o8upxpELYSMP4hE9wVU9cuRnHF3/AIJj/tI6lN+x14E1L4vftqalpmrafHJBbaPfeOrK3SOyt52jtY2hcb9nkogwxyV+ua/TT46/s+/Bf9prwBJ8Lvj18O9P8T6BLdRXLabqSMUE0ZJSRSpDKwyRkEcMR0JFdJo3hrw94e0e08P6FolraWNhbR29laW8CpHBEihURVAwFVQAAOgFeBjuHMZi8zqYmniXTUktr30VrbrTr8z9BxXiHl1fw0wPDP1Je1oVZzdR2s0+Zq2jfM+e0r6WhHfaPL/AXVde1jwN9t1y5lnDXT/ZJ5mLNJFgHOT1Gc4NdrQAAMAUV9HgcNLB4SFGUnJxVrvqfl1eoq1aU0rX6BWH8TbvxXYfDbxDfeA7cy65Dod3JosSxhy92IXMK7Tw2XCjB4NblFdMlzRaFSmqdWM2k7NOz2fk/I/n4/4N+vGHx61D/gq8L6WbVbubXdK1t/iXcXcBeRoyrTNJcFhlGN8tsC3B3tt/iNf0D18e/sc/BP4TfD39rnX/AIk+CfANhpuveLF8VS+I9Vt1bzr911mEguWJA5YnC4BJyRwK+wq+a4ToujlkouTfvy38nb9L+rP0zxb4xwfHHFMMww2H9jFUacLaXbSbbdtNOblj/djHbZcz8ab7xvpfwc8Wan8M7Z5vElv4Zv5fD8McIkZ75bdzAoVuGJkCDB4PSv52/wDgkd8Z/id4Z/bdvZPEHx11nwlaeJbLUJfHmqPrsdk91KqySoZ5LjgyfaWXtvy7DozV/SVXx1+w98DfhD8O/wBpnXPHXgn4eadpus+LNN8Q3XiTUYY2Mt/MNYtyGcsTjl2OFwMt0rm4kwdXF47CRhUcG3JXXTS91qu1jfgTjfA8NcI51llfCqrLFQioydtLNr3r9Fzc0bbTS73UvwEj8G/FnxraN4W+LsnjSe312xvdU1Zdfg1GeMW0qzRRyPF8qJ+7IAIBO5sHJ4+wKbHDDDnyolXPXauKdXr5NlUsqpTjKq6jk7tv0S7v8z80xmLWLnFqPKkrWCue+KtvpVx8PtUXWW2wrbFlYKCVcfcIB77sV0NeJ/tgfFRvDHhO40fRrCW+u7SITmyiHNzO2Ft7cHBOXkZR04yDVZ5iqeEyupKSvzLlS7uWiX9dBYGlKtiopaWd2+yR53+yj4h8LeNP2uNdt9Rhc3Xhfw01r4deSKMxSzPLE2pPG28tvjD2ER+Rdu9xk7iB9YV8nXnwO1v9nG9+H2qaFdLdaroN0l/qd07oP7RkuNy6su8xADzTNJKoAX51iyVAyPrCORJUWWNgysAVYHIIrz+F37DBywU1apSdmu99U/n+h05ouesq8XeM1p8t0LX4af8AB0j4j+LE/wC1R4D8J63Jer4Kg8FG68PxNHi2e/e5lW8ZT/HIEW0BzyoK9N3P7l15X+1H8KP2P/ijZeF4v2udE8H3cFj4jifwn/wlt7FAp1JgdkcJkdfNdwP9V8wfaMqcDHfnuXzzPLpUIz5W2nd7aPr/AFvY+x8K+LsPwRxnRzSthnXjGM48sUnJc0Wrxv1Wz/uuR8IfADx94C+O/wCy54C8M/tNftRt4kvNW0PTZdd8Ga743szbXd0pR4oJrRNpcB1jPkngsoDKeRX1H/wTEji0nw78S/BfgxdvgPQviJLbeCoII1FpahrO2lvre1K8GFL6S6GBwjmRBjbtHof7cXgTwd8QP2Zte8FeNPDltqOlarfaVbajYzqQk8T6nahkJUg4I9CDVH9gbwH4N+GHwJl+H3w98OW2kaJpPiXUINO02zUiOCPzc4GSSckkkkkkkkkk18/luWV8v4jjCpXlUfs27vtzWtu9Ovqc2P4gw+NyHFKMHD21W6pq3soXalzx1+PT2a91e437zvY9rrkfjx4R+C/jv4Qa/wCFP2ibLRbjwTd2JHiKPxDcLFZCBWD7pZHZQgVlVg2RtKggggV11fnH/wAHNviT4saL+wtoml+B5b2Pw9qnjW3g8ZPaJlGgWKSSBJmHKxmdEPoXVAecA/U5nio4PL6laUeZRT07+vl38jzeB8jq8ScXYLLaVb2MqtSKU9nG2t47e9p7uq962qPvP4OeDvg/4P8AhV4f8M/A7StGh8H2elQp4cTRHSW0NptzG0TqSJFYHdvyd2d2STmuoVVUBVUADoAK/Fv/AII1fHnWIf2RW8PfE/8Aa/1Xwva6N4kuLTwvo7eNbSxWKx2RyHbHKC5Xz5JsE8dQOBX6tfs0+LNY8Z+HLvXrjXTqmnXLRy6dqInEqTh1JLRuPlZCNpBXjnivDyrifC5jiKeGhSlFteXKrK+nl0Wi6HXxrwtieGuIMbhKtdVXSqSXPd3lru7/AGtfeV3Z31e56XXh/wDwUr8R/Fjwl+wT8VvEnwPe9TxPZ+Drp9Ol02PdcRLgCaSMdQ6wmRgRyCuRyBXuFUfExYeG9QK9RYy4/wC+DX0tem6tCUE7XTV+11ufM5XjI5dmdDFygpqnOMnF7S5ZJ8r8naz8j+e3/ghh8Vdb8E/FPxt4a1H4+Xvgfwxe+H4rq8ktvEFtpy3V9HOqQAvMCWIjkuflX3J6Cvv7S/DHwW0v49/C74u/AjXLHxB8Q9Y+LttFdeKrLUINU1LVrWaPy9XS4nBJaGPTwWIGFhEcO0Lu+b2v/gmL8C/g98Ehr+i/Cb4d6boVrqfhbw/f6hFZRsftFy/20NIxckk4AGM4HYCqPhD4IfCLSv8AgorcfHTTvh9p0XjDUPG15YXniBUbz5LZdBcCPk7VGEQZABO0ZNfl2CyyusJgsQ68uWVSKUekfeeq18u3U/Z+LfEDL+IONcfmlGjKlCVK3KrXqWhGNqtmlyv7XxaJRtrzL7Fooor9WPwk/mn/AGfPi58f9L/4K1/8Jt8T/iLq3hjxbqHj2+tPHGrz3cVlPaQtI6XUbPKNkKrGpQDooVQvRa/R79ojRv2V/ij8N/F/xH8ZfF6y8d+ItD8JS/2Rr1/4lttV1DRXRjJamyVDiGVrvytu1d0smyM7gQh+/fD37L37PnhT4363+0l4d+Euj2njrxHZLaa34mit/wDSbuECMbWOcDIhiyQAW2DJOK+c/wDgoj8DfhB8Svi5pfi/x78PdO1XU/Cng57zw7d3cbE2E5uifMQAhScohG4HBUEYr8zzPhzFYDAVKssS3HmT5dbO8kk3rv1enzP3riDxPyzivinA42hhpYaNGjGEuTl5m4JycVZpezv7iu9I6uL+A+qfhLeeMdR+FXhnUPiLbND4gn8P2UmuwtGEMd40CGZSo4UiQsMDgV0FFFfpcVyxSPwmtUVWrKaSV23ZbK/ReSCvPv2kdIGp+CLS4OmC4Njqsdwr7STAdkibxj2crzxhjXoNFcuPwn17BVMPzcvMmr9isPV9hWjUtezucv8ABbwkfA/wt0bwyxl3QWxdhPjeGkdpCDgDGC5GPauooorahSVCjGmvspL7lYznJzm5dwooorUkKKKKACiiigDxf4L/AA/Nh8bNU8RtpklmNOh1CEQxqRFvu7qKZzluSSY9wwejk9xXtFFFeflmAWW4b2Klzat3fm7nRisQ8TV52raJfccv8br/AMc6V8F/F+qfDC2ebxLbeF9Ql8OwxQiRpL5baQwKFbhiZAgweD0r83rP43+FvDdz8AbHwp+0zfaBFq/hq/fxBqa+ILW2ubqz+wo0kt1LNkxynUY4VYcEy+cpHyMF/UmuB+Fn7Lf7PPwS8ZeKfiF8KPhHo2ha142vvtninUbG2xJqM++R975JA+eWRsLgEuTjNebneS4jNa9GdOs6fJfa99eq1WvTfY+jyLO8sy7LcRRxNHnnK7hpGzbjKFpt6pR5ueFk/eVmlfmj5D+y78U38YeJ7XSfBPxzn8cW9tdn+0Z38Qw6gYEdc7ZGh4UfJldwznODya+nKbHDDDnyolXPXauKdXblGW1ctoyhUrOo273folbd9u58/i8TDEzUowUbK2n9IK5i9+F2k3vxEh+IUl2/mRIN1tsG1pAu1Xz14Hb1A+h6eiu3EYXD4pRVWN+VqS8mtmYU6tSk24O11b5M5r4jfDTTviNBaRXt/JbtaTFg8aBiyNjcvPTOBz29DXRQQxW0CW8K7UjQKijsAMCn0U4YXD0q860Y2lO133tsEqtSVNQb0W3zCvw2/wCDozxR8XR+1Z4B8M6ndX8Xg218GfbPDihSsDai1zKt26sPvSKiWgPdQVxjdz+5NcJ8cf2Y/gD+0tb6LafHn4U6R4pj8O6ouo6KmqwFxa3IGN64IyCMZU5VsDIOBXBneXVM0y+WHhLlbaflo+v9bn33hfxlg+A+MKWb4qh7WEYzi0rcy5otXjfS/R/3Wz4N/ZZ+Otl8RfgD8P7344ftiXer+I9R0bT7jV/D+r+ObMrNffI6I9uuH3iQRsEzncBnnIr7z/Z28JN4T+HIWQTB9R1G5v3SYYKmV84AwOMAEZ9a7b7Jahtwto8567BUlcOVZDWy/GPEVcQ6j5eXVbK6e7b7HzGb5vTzOrUnToxpKc3Lljsrt6JWWivZeSCuf+Knwr+Hfxu+H2qfCr4s+EbPXvDutW4h1TSb9C0VwgYMAcEEEMqsCCCCoIIIroKK+jlGM4uMldM8ijWq4erGrSk4yi0007NNapprVNPVNbGD8Ovhf8PfhL4G0r4afDbwhY6PoOiWSWmlaZZwgR28KjhRnJPqSSSSSSSSTW6qqoCqoAHQAUtFEYxikkrJCq1alepKpUk5Sk2227tt6ttvdvqwrxz/AIKDa5498N/sXfETW/hreajbarB4ecm70eHzLu2tS6C6mhH/AD0S2MzqRkgqCOQK9jpJI45Y2ilQMrAhlYZBB7Gs69N1qEqadrpq/a63OrLsVDAZhRxMoKapzjJxe0lFp2e+jtZ6M/NfWvjf4M8O/tQaT4R8I/tRv4V8OyfC0XN+ukeKrO1t5SLuL+zG82TcXLQS3jKoOCm1+hBP0L+ytYeFPH/jrS/FvhH4gHxRDpOo3N7e67Fq0V8bi5a1ktyJpo8qWCTL8owQFXsDn2f4Efsvfs+fsx+Hr/wp8AvhLo/hbTtT1J9Qv7XS7fas1wyqpc7iT91VAUfKoHAFd3HFHENsUaqPRRivj8BwpicNOjKriW1CSlypPlunfS7/ABt3PezrO8txFVwwNJqHLyqUklOXeUlG6vd2S5nZJK7sOooor7U+UCvFv2mPh4PHPi7TtMGmSA6rpx09r23U+ZsMhLLk5UbQdwyO5J4Fe00V5+Z4BZlhHQcuVXTv6NM6MLiHhqvtEr7/AIoKKKK9A5wooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK8f/AGzf26v2cv2CPh9p/wASf2jvFF9Y2OraobDTLXSNGuNQu7mVYZJ5WSC3RpCkUEMs0j42okbMSK9gr4H/AOC3Hhz4l6B4i+Df7R/g/wCC3ivx7pHg9fGuja5ofgvRJNSvkm1vwzd6fZTfZ48sYvtJSJ36RrPuPANAH3T4V8UeHvHHhfTfGvhHWINR0nWLCG90vULV90VzbyoJI5UPdWRlYH0NX68i/wCCf/wm8Z/Ab9hb4OfBP4ix7Nf8J/DDQtJ1uLeG8q7t7CGKWPI4IV1Zc99teu0AFcz8Zvi94G+AXwq1/wCM/wAS7+4ttB8N6bJfanNaWMtzKIkGSI4olZ5HJwFVQSSQBXTVyHx++IGlfCv4J+KfiHreia1qVrpOiXE89h4c0abUb6cBCNsFtArSTOc8IoJNAEX7O3x8+HP7UnwO8L/tD/CK+urnwz4v0iLUtEnvbN7eV4JPul43+ZDx0PNdpXyL/wAEKde1K9/4Ja/Cjwb4g+H3i3wxrHg/w/HoOuaT4y8L3Wk3SXcCqzlIrlEaSL94NsoG1iGAOQcfXVABSSSJFG0sjAKoJYnsKWkkcRxtIwJCgkgDJNAHiX7JX/BQr9mP9tfxH4t8HfAzxFrD6t4Kltv7b0vxB4bvNLuPs9yHNteRR3UaNNbTCOQxzKCrbTjtn26vgL/gkP8AFnUP2nv2oPj3+1h8V/hB8RvB3jnxVeWOl6ZoPjH4e6hpFppHhXTpbmHTbeK5uYkju7mZpLi7n8skIbhEHCZP37QAUUUUAeI3X/BQr9mjT/2x7L9hbUtZ1218d6nFMdLa68L3kel308Nqt5LaQ37Ri3luEt2WVolcsqnnB4r26vz2+M+neKfib/wXR+Dvin4XfB/4uR3vgG31qy+IeteJdKuP+EMj0KbSHMF3pssha3F7Jdywwl4NsxWORJBtUV+hNABRRRQB5Z+1h+2X8Av2KvCfh3xl+0B4ql0y08V+MbDwvoKW1m9xLd6leOVhiVEBOPlZmboqqSa9Tr8vv+Dg/wCCX7bHxJ8TeAviB8C/2Xl+JvhTwnLozWcNp4mFrdaVrknifS5XuPsqwSyXCtbWiW5mG1baK5uZW3KrLX6d6dNe3GnwT6jZrb3Dwq09usu8ROQCyhsDdg5GcDOKAJqKKKAPNP2sP2rvhX+xp8KB8Yvi9ba9cabJrVlpNrZeGNAn1S/u7y7mEMEMNtbq0kru7BQFBPNdT8JPiXo/xk+GmifFPw/omt6bZa7p6XdtYeJNGm06/gRhwk9tOqyQOO6OARXhX/BWHwh8IfGX7KH2T44+Dvi7rHh+x8V6ZqMh+B9rcS+IbG4t5TLb3UItv36qkyx5eH51JU8KGI1P+CUy/tJp/wAE7/hOv7XjayfiF/wjC/28fEjZ1Lb50n2b7Wev2n7N5Hm558zfnnNAH0HRRRQBW1nWNK8PaRd+INd1CG0sbG2kuLy7uJAscMSKWd2Y8BQoJJ7AV5d+yD+2x8B/25PAl98Sf2f7/W7nSLK/Futzrfhq7037WjRrJFdW4uY0M9tKjBo5kyjjODwRV39tb4a+L/jP+xv8Wfg/8PiP7e8VfDTXdI0TL7Qbu50+eGEZPT53Xmvj/wD4N6PDX7Q/hH4LeN/D3xN034s2PguxuPD1p4K074yrOuqWt9FodrHrccC3H7xLBdQV1gUfugqt5fyYoA/Q2iiigAr58+Ef/BS79nn4yftZap+xZonhr4g6R440yx1G+8rxT8PtQ0yzvbWyuUtp7i2ubiNY7iLzJECyRkq4YEE5FfQdfKH7Ofgfxn8Rv+CqHx8/ab8aeE9UsNJ8J+F/D/w3+H91qWnywJewKj6tqlzbmRQJYmubu3h8xMqWsyM5U0AfV9FFFABXgXxq/wCCmH7JH7P37UPhn9kH4l+M9TtvGPih9PS1W18P3VxY2T388lvYJd3caGK1a5mikjiEjAuykCvfa/KD/gpH8G/jj4q/4LNfD/xv4d+BPjrV5o9Q+HbeAdZ0DQpJvDMtraa1fza++uyqPK822tZY5bQzndG77ofmJoA/V+iiigD/2Q==", 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", 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", "info": {"equation": "4+12*5=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": "4+12*5=64", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "2a00b068a7580ba5e66c01b2767bcfb32e6ba8af8c7217ab67f2fb1d593945aa"} +{"episode": 26790, "episode_seed": 1532812974, "split": "train", "timestamp": "2025-10-28T03:45:08.762003", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1532812974, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 8, 0])", "action": "('move', [3, 5, 8, 0])", "reward": 0.0, "image": 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", 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NQOiqoAA9BXplff5ZFwy6jFu9ox1+SPyTPMZDMM5xGJjHlU5ydvVvfz7+Z+Rv/B1R4j+LFr4O+E/hXT5b1PBF7f6jPqoiT/R5dTjSIWwkYfxCJ7gqp65cjOOIP+Cf3xd0f4mfsEeGfCX7S/7Xt+kd1plzpd74Y1Lx/bWkUukpI8ENtJHlZRE1uqoQWDMh64Nfpj+1Z8O/2XPib8Hrrw7+2FYeGJ/BSXkE9y3i2/S1tIrhXxE/nO6CN9zbQQwJ3FeQxBX48+FfB0H7KXjLwxo+h2KaMnw+1C0tbO2iUQC1FjIixoF4CbMAAcY6V83mfD+JxWPrYmGJcE4rRXvorWeq00/PQ/SZ+IGEn4b5dw8sHy1KFaU/baa6t+69+f31zaqyjDXX3fBf+Ccfhzwt4C/aB+LfgT4MaJZad4Ii0/Qry7sNGs4o7C21+RLlLlYzGMCRrSLT3kjH3co2Bv5+wa+dP+Cd/wAIPhh8DPDvjL4e/CHwTZeH9Fh1+3nj0+wVtnmyWUJdyWJZmOBySeAB0AFfRderwzBwyOgr30v97b/A+D4rx1PMM9q1qd2rRjeXxS5YRjzSs3aUrXavK17c0t38df8ABebxJ8WPDH/BMnx5d/CWW9ikuHs7XxBNp8eZE0qWdUuckcqjKQjkfwO2eCTX5lf8ESvG3xC1XwD8V/A2seJbubwzovg68uNE0+WcGKyuZwPtLxjqm8RQE/w5TPXdn97PFHhjw9418Nah4O8W6Pb6jpWrWUtnqVhdxh4rmCVCkkbqeqsrEEehr5O/aB+BXwh/Zx8Jad8KPgd4BsPDfh6y8BeJJbbS9OQhFeSW1d3JYlmYsepJPQdABXhcW5XVqJ45VLRjFJx7+8vw1v6pfL7vhvjvA4Pw7xHCssKnVrVlUVXTRJRb8+ZcnKracs5aq1peqfsheO9S8d6SNTsvHT+JdHOlxLFrH9oLdJNKmEyJU+RmO1t2O45Gc17XVfSUSPS7dY0CjyE4Ax2FWK+qyvBTy/BqjOo5u7d3vq793+Z+VYqvHEVnNR5V2RzPxpvvG+l/BzxZqfwztnm8SW/hm/l8PwxwiRnvlt3MChW4YmQIMHg9K/nb/wCCRvxn+J3hn9ty+l8QfHXWfCVn4kstQl8eaq+ux2T3UqrJKhnkuODJ9pYf7eXYdC1f0lV5T8CPhD+xz4G+JXj/AMQ/s8+HvBsHirV9YWT4jP4fu4proXpeVwt0iuxgcu0zbCFySxxnNeZnmTVs0xFGdOt7Plv66rdarXTXXY/TOB+OsHwxwlnOWVsH7Z4uEYqVlaFm177d9Fzc0LfbS73Xwt8cNG+CGr6JcfHX4beOLPxp8V7TxPof/CJeKv7ZttX1casl0iWNlEwJCxuDMGgUBWRppGBKl1/T+vjn48/A74Q69+3dp3xr1n4fadc+K9C1jwra6PrkqMZrSF7wblQZ2jPmPzjPzHBr7Grm4Yws8JVxUJTc2p2u+tlv11d9fQ+Y4izWnjsuwVGLk3CMm3LpzcqVOOr9yChePw6ylaK3ZX84H7dvxQ/aJ0f/AILT+J/F/iDxPqmkeJtH+JyWnh2+lKQPY6Wsojs2iL/IkZtHRwx4IkLnlia/o/rg9W/Zg/Z+13476f8AtO6x8JtHuPH2l6abCw8USW+bmG3IkUoDnGdssi7iNwViM44r0M9ymtm1GnCnU5HGSf8AXmuh9D4Y8e4DgLGY2tisKq6r0J0ktNG7NJ3+xK1ppa2to7WPifx9pf7I3x4aSP41/HHSfiTa6Tpd80Nr4q8aWmoRabbPGBc3McaFRGwjUZnI3RgEqy5JP1p/wT/1TxzrP7Ffwz1L4jtetq0nhK18yTUrUQ3EkIXFvJKgACu0AiZhgck5APFeef8ABR/4F/B/43yeC/D3xb+Hmna/Y2K6rfWlpfRtsS4SKAK+FI3YDMMHIOeQa99+Cv8AyRzwlwP+RZsOg/6d468nIcDVwWdYmFSq5tRhq+t9e72tZang5nm9LEcMUMKuZvncrO3LTUeZWp6v43LmnpFXjH4t101eV/tR/Cj9j/4o2XheL9rnRPB93BY+I4n8J/8ACW3sUCnUmB2RwmR1813A/wBV8wfaMqcDHqlfht/wdGeKPi6P2rPAPhnU7q/i8G2vgz7Z4cUKVgbUWuZVu3Vh96RUS0B7qCuMbufbzzHwy7LpVpQ51dKz21fX+t7Hq+FfCmI4z4zo5dRxTw0nGcvaRvzLli9I2au3s9V7vM+lj9xfslqG3C2jznrsFSV+b37Hf7S19rnwT+H3iX4nftr6hd+LtQ8P2jato2o+O7I+bdSx7fLeAAPuO4fLndux3r7/APhPd65e+AdPufELSNcsjfPNneybjtLZ5ztx9a5cq4iw2b4l0aVOSsr3du6VtG+58pm+S1snr1KVScZck3C8XdOzauvJ20Oiooor6E8U8e/4KCeIPit4U/Yj+KXiT4HveJ4rsvBV9Lo0mnR77iOQRHLxDrvVNzLjkEAjJxX5O/8ABrNrfxPT9p34kaHpiXT+EbnwXFca9IIA0S6gl2gs9znlXMcl7gfxAMT92v2+v2K2MzKeRExH5Gvkf/gmB8EvhL8E7/WbT4T+AbDQY9b8HaHqGrCxVs3V0zXQMjliST7dBk4Aya+YzShKXEOCnzNfHp6K/wCN7PyP1PhjjXB5P4cZxkVTDKc8S6bjPTSzXxdfdtzQttJt6dfr2iiivpz8sCv52/2OPHX7Uup/8F4tI8R6+mrS+Obz4rXdr4tiuLQGWOw3yRXiMh4SKO0DgY4REXb0Ff0SV8eeEvgn8JdN/wCCi9x8d7HwDp8fjHUfG15YXviEIxuJbZdBcCPk7QMIgyACdoya+Y4joOrWwclJr97FaefX5W/E/U/DfjXB8J4DOKFfDKq8Vh5Qi3b3XqrO/wBh815Jatxjp1X2HRRRX05+WBX8/f8AwcQeLvjo/wDwU/FhqM2qJZaLoukv8OI1gO0I0aSPJAAP3jG9EylsElowvRVFf0CV8cf8FFPgn8Jvif8AF3S/GPxB8BWGr6n4U8Gvd+HLy8VmawnN0T5iAEKTlEPzA4KgivmeLaLq5O2pWtKL9dbfrf5H6h4R8Y4Pgjix5hicP7aMqVSFtLptJpq+mvLyv+7KW+z+qPhVeeL9Q+F/hvUPiDbtDr8+gWcmuRPGEKXjQIZlKjhSJCwwOBW/RRX0sVyxSPzOrNVasppJXbdlsr9F5I/PL9sf4nz+GPH/AO0tf/En4g3ejXmjeG7IeEPPeKNrbTDpQa1ns0fiUvqcl4m7B3SosfOAtaXwv+KfhLxpbeGYPFP7VkvivX2tIJf7Bv8AxvZ3Y+3tb4kKQRYJdd0oAGcAnivr/wCJP7MP7P8A8YPiP4W+L3xO+E+ka14l8FTmbwtrF7AWm0+Qsr7kIODhlVl3A7WGRg813C2tqjb0towR0IQV8XiOFMXiMVXqfWnGNRt2Sbun0eq22W+h9jjuI8qq4HDwoYf95GMedtRSTjCMFyNXbUuVzk2k+aVrO3NLm/gt4SPgf4W6N4ZYy7oLYuwnxvDSO0hBwBjBcjHtXUUUV9hQpKhRjTX2Ul9ysfGTk5zcu5+Rv/B1R4j+LFr4O+E/hXT5b1PBF7f6jPqoiT/R5dTjSIWwkYfxCJ7gqp65cjOOJP8AgnF8d08U/sQ+ENP+Pn7Y1/bXH2K40+Tw7qXjqzt4zpkcrwwQPC3z+WYFVcEhivfkGv09+Ov7PvwX/aa8ASfC749fDvT/ABPoEt1FctpupIxQTRklJFKkMrDJGQRwxHQkV0mjeGvD3h7R7Tw/oWiWtpY2FtHb2VpbwKkcESKFRFUDAVVAAA6AV8tj+G8XjMyqYmGJdNSSVle+itbdadfmz9UxPiHl1fw0wPDKwS9rQqzm6mlmnzNW0b5nzWlfS0I77R89/Zg8LjStA1fxQGk/4nmoRzLuxsKxwRxBk45B29efavT6AABgCivosvwawGCp4dO/KrX7n5fiKzxFeVS1rhXjX7VXgV/G11punDS3Y32nXemLeQKTIi3GwOg6gfcVhkfwnsDXstFZ5pgFmeClh3LlTtr6NP8AQrC4h4WuqiV7X/IZbQi3t47dSSEQKCfYYp9FFegc5zPxpvvG+l/BzxZqfwztnm8SW/hm/l8PwxwiRnvlt3MChW4YmQIMHg9K/nb/AOCRvxn+J3hn9ty+l8QfHXWfCVn4kstQl8eaq+ux2T3UqrJKhnkuODJ9pYf7eXYdC1f0lVwXwt/Zc/Z6+CfjLxT8QvhT8JNG0LWvG18LzxTqNjbYk1GffI+98kgfNLI2FwCXJxmvnc7yXEZrXozpVnT5L7Xvr1Vmtem+x+ocE8fZfwrwrm+VV8IqssZCMYy0tFq6fNfWyvzRttNLvdfPnwEj8G/FnxraN4W+LsnjSe312xvdU1Zdfg1GeMW0qzRRyPF8qJ+7IAIBO5sHJ4+wKbHDDDnyolXPXauKdXVk2VSyqlOMqrqOTu2/RLu/zPzvGYtYucWo8qStYKKKK9g4zyj9qPw2+uWmjzxaSZpEa4t47iNGZ4zMqLtGOPm2jqOqivRPBegp4V8HaT4Xjd2XTdMgtVaQgsRHGqZOOM8dq06K8+hgFQzCtiua7qKKt25Vb8ToqYhzw8KVvhv+IVwnxx/Zj+AP7S1votp8efhTpHimPw7qi6joqarAXFrcgY3rgjIIxlTlWwMg4Fd3RXbOEKkXGaTXZ6iwuKxWCrqvh6jhNbSi3Frpo1ZrTQj+yWobcLaPOeuwVJRRVmAUUUUARXqyPZypDGruYmCIx4Y44B9q8g/Za8AJ4c1PV9cjsJrRF0+00qG1ZSEjS3aZgoyM5Hm7Tz2HevZKK8/EYBYjH0cS5W9nzad+ZW/A6KeIdPDzpW+K2vo7hRRRXoHOFeL6X8PzdftOnWzpklsLDU5tUZoVOyZns3tQzE5zlZO2OU9iK9oorz8dgFjp0ZOVvZzU/W19DooYh0FNJX5k194UUUV6BzhXi37THw8Hjnxdp2mDTJAdV046e17bqfM2GQllycqNoO4ZHck8CvaaK8/M8AsywjoOXKrp39GmdGFxDw1X2iV9/wAUFFFFegc4UUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFeP/tm/t1fs5fsEfD7T/iT+0d4ovrGx1bVDYaZa6Ro1xqF3cyrDJPKyQW6NIUighlmkfG1EjZiRXsFfA/8AwW48OfEvQPEXwb/aP8H/AAW8V+PdI8Hr410bXND8F6JJqV8k2t+GbvT7Kb7PHljF9pKRO/SNZ9x4BoA+6fCvijw9448L6b418I6xBqOk6xYQ3ul6havuiubeVBJHKh7qyMrA+hq/XkX/AAT/APhN4z+A37C3wc+CfxFj2a/4T+GGhaTrcW8N5V3b2EMUseRwQrqy577a9doAK5n4zfF7wN8AvhVr/wAZ/iXf3FtoPhvTZL7U5rSxluZREgyRHFErPI5OAqqCSSAK6auQ+P3xA0r4V/BPxT8Q9b0TWtStdJ0S4nnsPDmjTajfTgIRtgtoFaSZznhFBJoAi/Z2+Pnw5/ak+B3hf9of4RX11c+GfF+kRalok97ZvbyvBJ90vG/zIeOh5rtK+Rf+CFOvale/8EtfhR4N8QfD7xb4Y1jwf4fj0HXNJ8ZeF7rSbpLuBVZykVyiNJF+8G2UDaxDAHIOPrqgApJJEijaWRgFUEsT2FLSSOI42kYEhQSQBkmgDxL9kr/goV+zH+2v4j8W+DvgZ4i1h9W8FS239t6X4g8N3ml3H2e5Dm2vIo7qNGmtphHIY5lBVtpx2z7dXwF/wSH+LOoftPftQfHv9rD4r/CD4jeDvHPiq8sdL0zQfGPw91DSLTSPCunS3MOm28VzcxJHd3MzSXF3P5ZIQ3CIOEyfv2gAooooA8Ruv+ChX7NGn/tj2X7C2pazrtr471OKY6W114XvI9Lvp4bVbyW0hv2jFvLcJbssrRK5ZVPODxXt1fnt8Z9O8U/E3/guj8HfFPwu+D/xcjvfANvrVl8Q9a8S6Vcf8IZHoU2kOYLvTZZC1uL2S7lhhLwbZisciSDaor9CaACiiigDyz9rD9sv4BfsVeE/DvjL9oDxVLplp4r8Y2HhfQUtrN7iW71K8crDEqICcfKzM3RVUk16nX5ff8HB/wAEv22PiT4m8BfED4F/svL8TfCnhOXRms4bTxMLW60rXJPE+lyvcfZVglkuFa2tEtzMNq20VzcytuVWWv0706a9uNPgn1GzW3uHhVp7dZd4icgFlDYG7ByM4GcUATUUUUAeaftYftXfCv8AY0+FA+MXxetteuNNk1qy0m1svDGgT6pf3d5dzCGCGG2t1aSV3dgoCgnmup+EnxL0f4yfDTRPin4f0TW9Nstd09Lu2sPEmjTadfwIw4Se2nVZIHHdHAIrwr/grD4Q+EPjL9lD7J8cfB3xd1jw/Y+K9M1GQ/A+1uJfENjcW8plt7qEW379VSZY8vD86kqeFDEan/BKZf2k0/4J3/Cdf2vG1k/EL/hGF/t4+JGzqW3zpPs32s9ftP2byPNzz5m/POaAPoOiiigCtrOsaV4e0i78Qa7qENpY2NtJcXl3cSBY4YkUs7sx4ChQST2Ary79kH9tj4D/ALcngS++JP7P9/rdzpFlfi3W51vw1d6b9rRo1kiurcXMaGe2lRg0cyZRxnB4Iq7+2t8NfF/xn/Y3+LPwf+HxH9veKvhprukaJl9oN3c6fPDCMnp87rzXx/8A8G9Hhr9ofwj8FvG/h74m6b8WbHwXY3Hh608Fad8ZVnXVLW+i0O1j1uOBbj94lguoK6wKP3QVW8v5MUAfobRRRQAV8+fCP/gpd+zz8ZP2stU/Ys0Tw18QdI8caZY6jfeV4p+H2oaZZ3trZXKW09xbXNxGsdxF5kiBZIyVcMCCcivoOvlD9nPwP4z+I3/BVD4+ftN+NPCeqWGk+E/C/h/4b/D+61LT5YEvYFR9W1S5tzIoEsTXN3bw+YmVLWZGcqaAPq+iiigArwL41f8ABTD9kj9n79qHwz+yD8S/Gep23jHxQ+npara+H7q4sbJ7+eS3sEu7uNDFatczRSRxCRgXZSBXvtflB/wUj+Dfxx8Vf8Fmvh/438O/Anx1q80eofDtvAOs6BoUk3hmW1tNav5tffXZVHlebbWssctoZzujd90PzE0Afq/RRRQB/9k=", "info": {"equation": "83+34=117", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 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": "83+34=117", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "c722bc7978010bce691a2d0d78e651a50960912f6f8d7b32a2744b3123a3f4e0"} +{"episode": 26791, "episode_seed": 4228219337, "split": "train", "timestamp": "2025-10-28T03:45:08.823940", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4228219337, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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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", "info": {"equation": "17*7=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": "17*7=119", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "3c661cddcfa952088d4a4a254466b7e6ad04fd5f60137b3fef5ce61cfb7b4374"} +{"episode": 26792, "episode_seed": 733751699, "split": "train", "timestamp": "2025-10-28T03:45:08.897817", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 733751699, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 0, 2, 7])", "action": "('move', [0, 0, 2, 7])", "reward": 0.0, "image": 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", 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", "info": {"equation": "17+16*1=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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", "info": {"equation": "17+16*1=33", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "b36693012b66b746c5cff47097052961886dad1eba72349dad516c2f61e520b5"} +{"episode": 26793, "episode_seed": 2324754691, "split": "train", "timestamp": "2025-10-28T03:45:08.955722", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2324754691, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 0, 1])", "action": "('move', [6, 4, 0, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "82-30=52", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "82-30=52", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "6a4cfc0b9a0ca3c33b3074898db97ef9cb1c6c84fdbcdd1aec87e1dbe3403e96"} +{"episode": 26794, "episode_seed": 1280922034, "split": "train", "timestamp": "2025-10-28T03:45:09.014182", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1280922034, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [5, 0, 2, 8])", "action": "('move', [5, 0, 2, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "17*6=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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z8nf+DVfWvisPiJ8VfDltb3LeBzotnc3kptx5KasJtkIEnUO0Bnyo6hFJxgZ/aCvmH/gnf8E/hN8A9f8AHfgb4NeArDw7pLQaTcvZaerbXmY3gZ2LEsxIVRkk8KB0FfT1eVwtFxyKjre93+L0PpvFLifC8YccYrNMPR9lCfKktLvlilzStpzO2tvJXe4UUUV9Cfnp+PH/AAdS+KPjJbyfCzwdBLfx/D+5jvLq4WKPFtNq6EKgkYdXWBmKKezyEZ5x9S/8G8WtfFXWf+CZ/h5PibBcra2Wv6hbeEXubcRmTSVdChUjl0E7XKhj2XHQCvXv+CjHwk+G3xu+HHg74efFnwfa67ol147SSfTrwuEd00zUWQ5RlIIYA8Gus/Yh8P6J4U/Zm0Dwv4Z0qCw07TbzVLWwsrWMLHBDHqV0qRqB0AUAD6V8lhsO4cX1p8z1pp2+aVvTS5+vZpx5gcd4Q4PhqOEUalKs5OppZr3ndded83LK+ll1vaPrFFFJJIkSNLI4VVBLMTgAetfW7H5CeZftMQaKuiWF7dSiO8WdlhbAwYsZfcT0UcHPr9a8w/4JzeJPCnxIufHnxRW1kTXL/U7WG3S6hiV00EQ79OeMpI5aGbdcT7jtzI8i7f3YNU/2hr6+/aL8f6T8HPD7XK2fiy7On3c8bCN7bR418zUJtxRgrPHmFcjO+5j5GMjRsPB+pfBT9qDR9c8NQww6eLdtE1i0DpGsulyHfaupKctBLjC7lASWfGThT+d08ZT/ANYP7T5V7GUvZqXnb4vntfsfRyoy/s/6tf30ua3lfb+up9MUUUV+iHzh+aX/AAc9eKPjLon7HXhXQ/A8t/F4T1fxb5XjaSzj/duEj8y0imYcrGZVZgPul40zyFB+Xv8Agh78adV0T4FeK/CHjj9qPUPBeh6dr8TeHdNi8V2mnI7yxu90wWUb358nJ6AnjnNfrZ+3p4J8KfEj9mTVvAXjrQYdU0bVtb0S31LT7nPl3ETataZVtpBx9CDWJ/wT4+Gfw/8AhZ8KPEHw/wDh34QsdH0XTPGM8dhp1nFiOFTaWjHGckkszEkkkkkk18LmmWV8bxNy068oN073XSztZarR7+p+y4TxBy+h4QPhqWCUqnt+bn0ta/NzbX9p/wAu9rez69D5T0nwv8G/Avxq+EvxF/Zh1KyvfHfiL4sQW954g0S+i1C/8RafcSltd+2zBmNxCluHmdmyIZIoduwkA/pTXxF8E/gF8F/Cv7csPxv8O/DfTbTxdrfxL8T2+qa/GjGeeIR6qNnJIUfuo87QM7BnNfbtd3CNCVDCVk5N2qSWvlbX59T4ri3NKeY/VYRlKbhT1lP4m5NvlWsvch9m7u25StG/KivIv2tPhD+xV8V9O8NRftm6H4Ku7ax1rPhY+Mr+K2X7a4H7qEyOnmM4UZi5DbRlTgY9dr8Fv+Dm7xT8Zb79tzRPCfi+a/TwdYeEYJ/BsDx7bVpJGP2uVCOHk8xEVifmASMcDGfTz7MIZblzqyp86ulZ7fP+t7HteE3COJ404yp4Chi3hpKM5+0i3zqytaFmtXfXVe7zPpY/eRbGxRQiWcQAGABGMAVKAAMAYA7Cvy7/AGGf2mtT1v8AZb8A+LPjZ+3Pqlt4mfS1l1Gw1Dx/YxEKkziFZImG4ZhWLIY7jkluSa/QL9nbXvEPiLwzdalq1/Jd2kk6vp93JIXEqsNzFW/iTJBBHHJ9K4st4nwuZ4yOHp05JtN3drK3o3/Vu58rnfD1fJMXXoVKkZ+ynKF47S5ZON15O115HoVFFFfTHz4V+R//AAdSeJ/jDZeCvhZ4U0uW/j8B31/fzaz5MeLebU41j+zJK4/iETXDIh4OGIyV4/XCvAP+Civwu+Hvxm+E/hv4d/FLwpba3ol942tzeabdlhHKUtLt1yUIPDKDwe1eLxFSdXJK6TtaN/u1t87WPufDbiTDcJcbYPNcRR9rCnJ3jpf3ouN4305o35o3tqt1ueC/8G32t/FjV/8AgnBa2vxGgul0uw8X6jb+CpLm2CCTTMROxRgMyILt7tdx7qV6KK++a8i/YX8LeHPA/wCzXpXgzwfotvpulaVrGs2unWFqm2O3hTVLpURR6AD6+teu10ZNBwymgr39yP5Hl8ZZxSz/AIrxuY0qSpxq1JyUV0u+vm95Pq22eUft0698UvC/7HfxJ8Q/BV79PFFn4RvJdIl0qDzbqJxGd0kKYO6VU3MoAJ3AYBOBXzZ8BPHGnx/tVfA3wj8BfFzano9x4U1c65BYSR3UZ8Oiwj+z3U75Zo830NlGj5G9mlXnDY+6q+I/+CbfwD+DPwd+LGneJPhh8ONO0TUPE/w5urrX7y0RvMvZvtGmtucsTj5pHO0YGWPFeLnVCU89wM1JrV6emv47PyO7JMyy2hw/iqNelzVIqbg7JpupD2fvt6r2duenZP3rrS/Mvyx/4OCfFnxq1T/gpp4k0v4h3Gopp2j2Gnx+BIZoykaae0COXgA4YNcm4y/JLKVP3QB+9X7KGr/FDxB+zD8PNd+NttcQ+MbzwVpk3imK7txDKuoNaxmcOg4RvMLZUdDkV8z/APBSb4C/Br4u/FefxX8Tvhzp2uah4W+Gkl14fub9GY2U3nXTb1UMFY7o0OGBHyjjrX2nYktZQsxyTEuSfpSyTDulnuOvJvWP/k13+Gy8j6vjvjvA8TcE5JldHCKlPCwcZS01aUY+7bW0rc87/a72u5a/Or/g5h8T/GLQP2ENM074eTX8Xh/VfGFvbeN5bKPKm08t3hSZhysbXCxexYIp6gH9Fa8i/br8JeG/Hn7LviHwV4x0eLUNK1W80q11GxnzsnhfU7VXQ4IOCCRwQa9vOaTrZVXgnb3X+Cv+Ox8VwRnlHhvi7BZnWpKrGlUjJxfVX6X05lvH+8kfkF/wQ6+OfifSPhR4w8C+O/2qNU8HeGdJ1S2fwxpq+LbWwi86YTNdlFmBYjIhYgfKCxI5Zq/TH9mHQ/CPxA8X6H4j8GeN/wDhIrTR9YudRutbttUivftN00E8T+dMmVLn7QSQMHgdq6f/AIJ6fCn4b/CH4beK/h78MvBdhouiaf41b7Hp1nFhI9+m6e7HLEkkszEkknJr6AjjjiXbFGqj0UYr5PJuHq1ehhsVPEycVyzULaK2qS97T7tj3fEDi/C8ScV47H4fDKlGtJ2Wl7WUbysvilbmlq/eb1e46iiivvj85CsL4oaOviH4ca7oEmmJepfaTPby2jg4mR4yrLxycqSOK3aKzrU/a0pQva6av6lQlyTUux5N+zB4Nk0qXXvG0wnVtW+y2wWRcKVt/OO5eM9ZmBPT5e2DXrNFFcuW4JZdgYYZSvyrfa+tzXE13ia8qjVrhRRRXcYHnH7TGj/2p4R067bS1uBp+rC5SXBLW7mGWLeMeqyupJ4+etj4EeDm8B/CvTPDr+cG33N06zgB1a4uJLgqQAMYMpAHUAc8119FebTy5QzWeN5m3KKjbtZ3/r5nTLEuWFVC2zvcKZPBFcwPbToGSRCrqe4IwRT6K9JpNWZzbHK/Dn4V6X8O57y5tL+S5e6IVGkQL5cYJIXjqeeT3wOBTfGPwk0fxl4qsvE95eyRm2CieBUBE6qxZRn+Hk4PXI9OtdZRXnf2Tl31RYX2a9mndLXe9/Xf/LY6PreI9s6vN7z0uFFFFeic58uf8FG/E/iLQ/GnwY0zUdautP8ABN/42uR4juIyqW8t/HZvJpcFzISNkbXALKMgPNHCvJKq3zf4B+P2hL+0R8W/Dr/tg3vhzQNN1bS00+xtfF9jYwLqBsgL9I94LSbSluGJJ2yF04KsB+ifxU+FXw6+N/w+1T4VfFnwhZa94d1qAQ6npOoR7orhAwYZxgghlVgQQQVBBBANQ/Cn4N/C34HfD7TfhV8JfA2n6D4e0eJo9N0qwhxFArOztjOSSWZmJJJJYkkk18nmXDuLx2aPFU8Q6acUtL3XktVo999+h9nh+IMoo8OrCzw/NXS5L2jy8vtPae0v8XtP+XdrW5PtfZPA/wBljQfCvjfxhoPi3wZ4u/t6w0W/vb+TWrXUo7xbq6lhuIpWlmTKs7NcyMQMHcOgAIr6ipEjjiXbGgUeijFLXrZPlf8AZOFdFzc25OTbVtXbzfbufL4zFfW6qny2srWCvPvj7+yn+zp+1LaaPY/tCfCHR/FkWgXxu9HTVoC32aUgBiuCMqwVdynKttXIOBXoNFenUp06sHGaTT6PVEYTF4vAYiNfDVJU5x2lFuMldWdmrNaO3oRLY2KKESziAAwAIxgCpQABgDAHYUUVZzhRRRQAV55+0roq6v4HtLh9KW5+waqlyshBJt2EcieYMezspzxhjXodHXrXJj8J9ewVTD83LzJq/Y2w9X2FaNS17O5xvwB8IN4J+FljoziYPLdXl7Is4wytc3UtwVxgYAMuADzgDPNdlRRWmGoLDYaFFO6ikvuViKs3VqSm+rb+88o/bp174peF/wBjv4k+Ifgq9+niiz8I3kukS6VB5t1E4jO6SFMHdKqbmUAE7gMAnAr4d8ffGbwJ4L+J3wP8PfC39pF/Dmk32i6kt7e6X4itIfP0FbBDDLLPLu25u4bVVIOXYSjna2P05rzr4Kfskfs1fs5ax4h8QfA74M6H4ZvPFd4LrxBPplttN5IGdlzkkKoaRyEXCjccAV4OdZHic0xdKrSrOHImut1fqrNa9HqtD63JM9yrL8pq0MTQ56nvuGkbSc4KHvt6pU7c8LKXvXXu35l8xeD5fAXxoutV8K+HfjpJ451XVtM+wXNwfE9vqN1a2r71AURDCIGkZslcZPJ7V9wQRCGBIQchEC8+wpI7eCI7ooUU+qqBT66cmyaeVSqynVdSU7XbXa/m77nzuNxqxailDlUb7ef3BXzF/wAFKPEuv6APhNa3ut3Wm+DL34kRJ4wu4iEgLJaTy6fFcyEjy4XvktxyQGcRqT8wB+naw/iV8NfAfxi8B6r8MPif4VtNb8P63Zta6rpV/HuiuIm6qR1ByAQRgggEEEA135lhZ47A1KEZcrkrX/rp38jfJMdh8uzSnXrw5oK6a0btKLjeN9OaN+aN9OZI/Ozwz8fNGtf2pPin4Tb9rq98MaBpqaL5dhaeLLKwgTV2t5UvUUuC0jLFDZBwSdjll4IIH1d+yr8R7/xzqto3hr4oSeL9Igt5ILvVf7WjvVYoCRvli+QyBmA7HB56V6t8H/gd8I/gB8PbD4UfBrwBp3h7w7pnmfYdKsIcRxF3aRz82SxZ2ZiSSSTXUxxxxLtijVR6KMV83gOGMZhalKc8XJqDT5Ve2nRe9t0226HpZznWX4zE1PqtDlg0opuyk+WKjzSSulKVuZpSdpP4nu3UUUV9ifMBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAVyHx8+O/wAK/wBmL4N+Ifj78bfFUWieFfC2nNe6zqUqM/lRggAKqgs7sxVFRQSzMoAJNdfXyb/wW9+CvxP+PP8AwTZ8ceDvg94SvPEOuafqeha9F4d06PfcapBpusWd9PbRJ/HI0NvJtTqzBVHJoA9k/ZL/AGvPgf8Atr/Cg/GH4Da7e3Wmwatc6Xqdlq2lTWF9pl/bsFmtbq2nVZIJVypKMAcOp6EV6dXxd/wRt8LeP9Qg/aC/aX8V/DXxJ4P0f4x/HvUfE3g3QPF2kSafqI0wWNlaJcz2smHt3lktpG2OA20KT1FfaNABRRRQB43+2V+3j+zn+wb4X0Dxb+0Tr+p2Vr4l12LSdJXStDuL53uJGVQXEKMIowXQF3IXLqOSQK9kr4Y/4OEfFmpWv/BP+5+Gvhr4WeOvFeteJ/F+gtptj4I8F3usPGtlq9lezvMLWNzCvkwSFWbAZgFHJr7K+GPxA0r4r/DnQ/iboWlatYWXiDSoNQtLLXtKlsb2COWMOqT28wWSCUA4aNwGUgggEUAbtFFFABXgXxK/4KX/ALJvwi/as0L9jn4heKda07xZ4i1G203Tb2bwte/2Q2o3MJmt7BtR8r7MLqSMBli37sEZxmvfa/OP9u7413/xq/4KufCH9lH4p/BX4pW/wr+GHiTSfFy+IfD3wy1PUrHxN4ukOzTYXvYIWhtLGyE5nnlduZMI21Y2agD9HKKKKACiiigDwL9nb/gpZ+yr+1B8fvEX7M3wx13xDF4u8OaY+pvY+IfCN9pialp6XJtWvbKS5iRbu3Ew2ebHlSSMZHNe+1+av7B2leKfiB/wWk+In7Sfwx+Cnxp0DwVrHwomsPiBd/GvR7mH7F4iGriWCw0Z7osVtBEZ3aO2Y22dhXtX6VUAFFFFAEd1dW1jayXt7cJFDDGXllkYBUUDJYk9ABzmvKf2Mf22v2e/2+/hDP8AHT9mbxRc6z4Zg1+80cahc6fJbebcWzKshRZACyfMCrjgg1if8FL/AIf/ALQvxY/Yd+IHwu/Zc0SHUvGHiPTItNt9Pm1xNMNzZTXMUd/El26stvI1m1yqSFW2synaSMV89f8ABvl4K+Pfw2/Z++Lngf42/srv8KIIfj/4ouvD2htqhuU+zzXWWigJgi8y2hKrHFcqClwgEihRxQB99UUUUAFeNftift0/BX9iHTfC978XdI8X6nc+Mtal0rw5pHgjwhd63fXlzHbSXLqtvaI8hCwxSOSBwFJ7V7LXw7/wXI8EfDTxP8GfCviLxz4J/aAv9Y8PXmq3ngXWP2fLW7fUdL1t9Olt4Gnez/fxRyCZ0DD92fmEhCnBAPszwD4y074ieBtG+IGkadqVnaa5pVvf21prGnSWd3DHNGsipPBKBJDKAwDRuAysCCAQa1q8k/YJT9oSP9ij4Up+1g1wfiUPAWl/8JubwqZ/7S+zJ53m7fl83dnfjjfur1ugAooooA8R+Nn/AAUM/Zi+AX7Q3hn9lvx14j1ifxn4ngguY9O0Lw1eaiml2s9x9mgur+W3jdLGCSfMaySlVLA84Ga9ur8ef+CiPwC/bI8F/wDBY3VPjV+z/pXxhXXPiAPh2nw41fwOLn/hGfKsNReLXbbX2j/crElk8sqJP8p+0MUy/T9hqACiiigAr5r+Bf8AwVU/Zo+P37Tzfsg+HPC3xJ0PxudJvdTt7Lxp8NtS0eG6s7SVYpp4pbqJFkj3uoDLkEsMHmvpSvjz9k3wF45+Kv8AwVN/aJ/a/wDiD4M1fTNL8M6bo/wu+GcusadLb/arG2j/ALR1S6g8xR5kMt7coiyplX+ynBOKAPsOiiigD//Z", 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", "info": {"equation": "17*6=102", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "1766570aa0a8a5eb14ca293e3407d913e3d2aa8078b84764e92015796ea0ae59"} +{"episode": 26795, "episode_seed": 586377675, "split": "train", "timestamp": "2025-10-28T03:45:09.071511", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 586377675, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 1])", "action": "('move', [2, 7, 1, 1])", "reward": 0.0, "image": 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", 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", "info": {"equation": "99-41=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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E237N2uaB4caR/BGkfEbWrL4aTGNfKfRElQqIHXPnW6XLXccUhJ3Rxrywwx1/+Cinwc+F3xp+HXg74f8AxV8EWWt6LdeOkkn0+6DBHZNM1BkOUKsMMAeDXX/sQeH9D8J/szaB4W8MaTBYabpt5qlrYWNrGEjt4Y9SukSNQOgCgAfSvIyjL62B4knCpWdRqne763aVnq9j5rE5zRqcIvCrmvKorRduSCim+aOt+eTbT92KSvrJy931ivDv+ClXib4xeDf2Dfin4n+AT3yeLLLwnPJpkumRb7mFcqJpIh13rCZWBHzAqCOQK9xoIDAqwBBHINfZ16brUZU07XTV1urrf5Hy+V4yOXZnQxcqaqKnOMnGW0uWSfK/J2s/Jn82v/BF34u+NfAP7Ul14dt/jnqXgvwvrWi3Evii6ttehsY52hRjbF5JsqWEsmBj5iHbsWr9lfgL8X28S67DoPw7/aGuPHFxFfRzTRP4ng1F4VbC4fyMbYyFP3h/eINe4/Av9kz9m39mb+2/+FCfBvRPC3/CR3wu9b/su22/apRu2k5Jwq732oMKu44Aya9BjggiOYoUUnrtUCvi8JwljqNOMXi5JJ35Y3tvfTVflufpfiZ4iZbxxxRPM8Lg/ZxcIx963M7L4pWTV9eVav3Yx9E+iiivuT8mPzS/4OevFHxl0T9jrwrofgeW/i8J6v4t8nxtJZx/u3CR+ZaRTMOVjMqswH3S8aZ5Cg/L3/BD7406tofwK8VeEPHH7UeoeC9D07X4m8OabF4rtNOR3ljdrp1WUb35EOT0BOBzmv2u+Kfwr+Hfxu+H+qfCr4s+ELPXvDutW4h1TSb+PdFcIGDAHGCCGVWBBBBUEEEA1F8Kvg58Lvgf8P8ATfhX8JfA2n6D4e0eJo9N0qxhxFArOztjOSSWZmJJJJYkkk18nmXDuKx2aPFU8Q6acUtL3XktVo999+h+vYXxJy3D+FP+qksEpVfbe09ppa1+bm2v7T/l3tb2fXofntYeCfgd4P8Ajf8AB/4l/s1z6ZqXj7WPi7CkniPSLqHUdQ12yuXca893OCzTRramWR3PELrEF2bgrfpdXxF8E/gF8F/Cv7csPxv8O/DfTbTxdrfxL8T2+qa/GjGeeIR6qNnJIUfuo87QM7BnNfbtHCNCVDCVk5N/vJLXysr/AD6nyPFua08x+qwjKU3CnrKfxNybfKtZe5D7N3dtylaN+VFFFFfWHx58m/8ABb7xP8YvCX/BNH4jar8FJb+LUGtbeDVp9Nj3SxaXJOiXjZHKr5JcMw5VCx4AJH5+f8Gr+tfFaP48/Ezw7psF03geXwnBcaxILYGFNUW5RbQGTqrmF7zCj7wUk/dFfsD+0hBDc/s7+Pba4jDxyeC9UV0YcMDaSgg14X/wTj+Bfwg+AHifxt4R+DHw+0/w7ptzo2h3dza2CtiWdpNSUyMzszMcKo5PAHFfJ5hh5PirCT5nrGWn+FN/jfU/XuH+O8DlfhTmfDs8IpVK9SMlU0sk+X4ut4ct4W6ye1tfqiiiivrD8hPH9U+Df7El5+17ZfFPV/D3ghvjUmj5sZ5r6EaybMRvF5q25fcyiPzE83YSFBXdgYHri2tqjBktowR0IQV/MX+0j8Y/2qdB/wCCoXin4neIPF+taN8SdO+Is8FrfvItvPZIspggjTd8iRC3KIoPyGM85Ukn9nPBPx08JnxNHYaD+2ddeIbu8DW9vpNx49s7rzmb+5HGA5fjjac9a+Fhxlg6EqsZUGnzPa2vnLaz77n7R4i+GmYcLUMsnVx6xCrUU1dt8lrPlhq/3fve49L+9oj7corF+Hlzrd54J0268RB/tj24MxkGGPJwWB6EjBPvW1X2tCqq9CNRK3Mk7PdXV9T8aqQ9nNx7Ox5L+3l4g+LnhX9jL4m+JPgOLz/hL7LwZfTaC2nQ+ZcJOIid0S93UbiuATkDAJwK/n8/4I8/FHxh4I/bMtzbfGO98I6RrWj3sfivWIdZhszLCsTSxq804IGbhYenzE+xNf0u149+zJ8GP2IPhr4k8a337KHhzwPbapqGsY8df8IrewzyR3ivKfKuFR28hlZpcRYUA7sKMV89nmSV80xlGpTrez5b97+sdVr31Wh+t8EeIOD4Z4GzjJ6uB9tLFKNp2Vo3933209I/FT39/te58Z/F7w7+x38UfDXif4l/FH4v6d411PR/C7D/AISjVPFlvqF/oFvG5kiks2Rh9lkFwVZGQB3k2KS2Qtfdv7J+r/E/xB+zB8O9d+NcFzH4wvPBWmTeKI722EMy37WsZnEkYACP5hbKgDByK+Zf+Ckf7P8A8FPix8VrjxT8Sfhppmtah4X+Gkl1oFxexsfsU3nXTb1UEKx3RofmBHyjivtWxJayhZiSTEuSfpXFw3g6mDzXF051HNx5U2+t03d6vVbHymd5xSxfDmEwy5m7yl71rU0vdUKerdpaSnpHVRSj7t3LX51f8HMPif4xaB+wfpmnfD2W/i8Par4wt7bxvLZR5U2nlu8KTMOVja4WL2LBFJ5AP6K15F+3X4S8N+PP2XfEPgrxjo8WoaVqt5pVrqNjPnZPC+p2quhwQcEEjgg19DnNJ1sqrwTt7r/BX/HY5eCM8o8N8XYLM61JVY0qkZOL6q/S+nMt4/3kj8fv+CGfxm1rw98LfG3g3xl+05f+CvDtnrFrPoNhD4ptNOSW5ljk+1OBKCznbHbZP3R25Jr6n1bwZ8DfDHxI+Gvxe/ZzvtN1j4l6n8YrH7H4p0y9h1PVNaFzOia0txOCxliXTnuHk/hgVEKiPPP1r/wT0+FPw3+EPw28V/D34ZeC7DRdE0/xq32PTrOLCR79N092OWJJJZmJJJOTXkXgD4B/BnRP28I/j1pPw402DxlqPxS1a0vfEKoxuJIBZXq7OW2qNsaAlQCQvJ5Ofz2GVV6eGwNeVeTU5wSjraN9dNXt6I/Q8546wOb8aZnmtOjKjCak1CNrVLRUVGrqlyz1lUtz3baS15l9v0UUV+qH4mfz/wD/AAcoeLPjRef8FCI/D3jS41CLwzpHhiyk8BxuhSARyIrXU0RHDOblXVm+9+6QdFWvsP8AZZ/aCtfiD+y14O1D9of9tq/m1rV/DcZ8T6Nq3xAsY0mD7gYZouGAaIqGUkNhjkg5r76+Of7J/wCzh+0xf6Bqfx6+D2i+KbjwveG60GXVbcubSUlC2MEblYxplGyrbRkHFd+bO0JybWMn/cFfGV+F8ZWx9avHFOCm76Xv6PVaLZb6H7DxH4mZZnXAuU5FTwKjUwaalPSz0t7ujfv/AB1L299Lfc8p/Zd8IixOuePd0pGtLaQR7seWyQCUh045yZyM5I+UY6GvWqAABgCivpctwSy7AwwylflW+19bn5Lia7xNeVRq1wr+X7xX8aP2q9B/4KZan8UfFXjbW9B+Jq/ESW21LUnmW1uLMtMbZ4sv8kcSwHywD+7EYA+7X9QNeeJ+yd+zfH+0BJ+1Snwc0UfEOWy+ySeK/s5+1NF5YixnO3d5YEe/G7Z8uccV52fZPXzeNJU6nJySv1+9W6rp6vU/UPC7xEy7gFZisVg1X+s0XCO2j192V/8Al3O/v2u/djoz5a0L4k/DHxX4rsdPj/avfxldx3LvpGkah44tL398Y3TzI4o8M0gjeRe+FduO4+ufgR4ObwH8K9M8Ov5wbfc3TrOAHVri4kuCpAAxgykAdQBzzXVra2qMGS2jBHQhBUlRlORVMtxcsRVrupKS5dV0vfdtn5zi8fHE0VTjBRSd9P8AhkFFFFfRHnBRRRQAUUUUAFFFFAHhPgr4btN+0OuqnSpLNdG1zUNVZYVIjeS4iuYyzFgchzcu/BGT04BFe7UUV5uV5cstozgpc3NJyu/M6cViXiZqVrWSX3BRRRXpHMY/xC0pdd8Ba1ocmnJeJe6VcQSWkmdsyvGyshxzyCRx6151+y94MfSr/X/GcsU8Z1C3srFUkXC7bZrlsjjOc3DA84+UDgg167RXm18uVbM6WMcv4akrd+bT+vkdMMS4YWdG3xNa+gUUUV6RzHnd/wDsmfs3an+0Bb/tUah8HNFm+IVrZ/ZbfxU9uTcpF5bReu0t5bMm8jdtO3OABXoC2tqjBktowR0IQVJRUQp06d+VJXd3bq+78zpxGMxeLUFXqSnyRUY8zb5YraKvtFXdktEFFFFWcx5L+3l4g+LnhX9jL4m+JPgOLz/hL7LwZfTaC2nQ+ZcJOIid0S93UbiuATkDAJwK/AD/AII7fF7x74F/bAj0+z+N+p+D9A1/TLs+MdRg12KyW4SOGSSAySz5Ut9oKYP3vnYDhmr+lmvOvgp+yT+zX+zlrHiHX/gd8GdE8NXniu8F14gn0222m8kDOwzkkKoaRyEXCjccAV81neR4nNMXSq0qzp8ia0vdX6qzWr2eq0P1rgrxGy7hbgnNskr4NVZ4tJRlpZaW9++tofHTsnad9r3PmLwfL4C+NF1qvhXw78dJPHOq6tpn2C5uD4nt9RurW1feoCiIYRA0jNkrjJ5PavuCCIQwJCDkIgXn2FJHbwRHdFCin1VQKfXTk2TTyqVWU6rqSna7a7X83fc/M8bjVi1FKHKo328/uCvmL/gpR4l1/QB8JrW91u603wZe/EiJPGF3EQkBZLSeXT4rmQkeXC98luOSAziNSfmAP07WH8Svhr4D+MXgPVfhh8T/AAraa34f1uza11XSr+PdFcRN1UjqDkAgjBBAIIIBrvzLCzx2BqUIy5XJWv8A107+RvkmOw+XZpTr14c0FdNaN2lFxvG+nNG/NG+nMkfnZ4Z+PmjWv7UnxT8Jt+11e+GNA01NF8uwtPFllYQJq7W8qXqKXBaRlihsg4JOxyy8EED6G/Zh0Pwj8QPF+h+I/Bnjf/hIrTR9YudRutbttUivftN00E8T+dMmVLn7QSQMHgdq9++D/wADvhH8APh7YfCj4NeANO8PeHdM8z7DpVhDiOIu7SOfmyWLOzMSSSSa6mOOOJdsUaqPRRivmMHwpiKFSjOriXJU2pctna66K709bbHqZxnmBxWJqfU6HLBxUU3ZSajFR5pJXSlK3NJKTs3u926iiivtD5YKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACuQ+Pnx3+Ff7MXwb8Q/H342+KotE8K+FtOa91nUpUZ/KjBAAVVBZ3ZiqKiglmZQASa6+vk3/AILe/BX4n/Hn/gmz448HfB7wleeIdc0/U9C16Lw7p0e+41SDTdYs76e2iT+ORobeTanVmCqOTQB7J+yX+158D/21/hQfjD8BtdvbrTYNWudL1Oy1bSprC+0y/t2CzWt1bTqskEq5UlGAOHU9CK9Or4u/4I2+FvH+oQftBftL+K/hr4k8H6P8Y/j3qPibwboHi7SJNP1EaYLGytEuZ7WTD27yyW0jbHAbaFJ6ivtGgAooooA8b/bK/bx/Zz/YN8L6B4t/aJ1/U7K18S67FpOkrpWh3F873EjKoLiFGEUYLoC7kLl1HJIFeyV8Mf8ABwj4s1K1/wCCf9z8NfDXws8deK9a8T+L9BbTbHwR4LvdYeNbLV7K9neYWsbmFfJgkKs2AzAKOTX2V8MfiBpXxX+HOh/E3QtK1awsvEGlQahaWWvaVLY3sEcsYdUnt5gskEoBw0bgMpBBAIoA3aKKKACvAviV/wAFL/2TfhF+1ZoX7HPxC8U61p3izxFqNtpum3s3ha9/shtRuYTNb2Daj5X2YXUkYDLFv3YIzjNe+1+cf7d3xrv/AI1f8FXPhD+yj8U/gr8Urf4V/DDxJpPi5fEPh74ZanqVj4m8XSHZpsL3sELQ2ljZCczzyu3MmEbasbNQB+jlFFFABRRRQB4F+zt/wUs/ZV/ag+P3iL9mb4Y674hi8XeHNMfU3sfEPhG+0xNS09Lk2rXtlJcxIt3biYbPNjypJGMjmvfa/NX9g7SvFPxA/wCC0nxE/aT+GPwU+NOgeCtY+FE1h8QLv416Pcw/YvEQ1cSwWGjPdFitoIjO7R2zG2zsK9q/SqgAooooAjurq2sbWS9vbhIoYYy8ssjAKigZLEnoAOc15T+xj+21+z3+338IZ/jp+zN4oudZ8Mwa/eaONQudPktvNuLZlWQosgBZPmBVxwQaxP8Agpf8P/2hfix+w78QPhd+y5okOpeMPEemRabb6fNriaYbmymuYo7+JLt1ZbeRrNrlUkKttZlO0kYr56/4N8vBXx7+G37P3xc8D/G39ld/hRBD8f8AxRdeHtDbVDcp9nmustFATBF5ltCVWOK5UFLhAJFCjigD76ooooAK8a/bE/bp+Cv7EOm+F734u6R4v1O58Za1LpXhzSPBHhC71u+vLmO2kuXVbe0R5CFhikckDgKT2r2Wvh3/AILkeCPhp4n+DPhXxF458E/tAX+seHrzVbzwLrH7PlrdvqOl62+nS28DTvZ/v4o5BM6Bh+7PzCQhTggH2Z4B8Zad8RPA2jfEDSNO1KztNc0q3v7a01jTpLO7hjmjWRUnglAkhlAYBo3AZWBBAINa1eSfsEp+0JH+xR8KU/awa4PxKHgLS/8AhNzeFTP/AGl9mTzvN2/L5u7O/HG/dXrdABRRRQB4j8bP+Chn7MXwC/aG8M/st+OvEesT+M/E8EFzHp2heGrzUU0u1nuPs0F1fy28bpYwST5jWSUqpYHnAzXt1fjz/wAFEfgF+2R4L/4LG6p8av2f9K+MK658QB8O0+HGr+Bxc/8ACM+VYai8Wu22vtH+5WJLJ5ZUSf5T9oYpl+n7DUAFFFFABXzX8C/+Cqn7NHx+/aeb9kHw54W+JOh+NzpN7qdvZeNPhtqWjw3VnaSrFNPFLdRIske91AZcglhg819KV8efsm+AvHPxV/4Km/tE/tf/ABB8Gavpml+GdN0f4XfDOXWNOlt/tVjbR/2jql1B5ijzIZb25RFlTKv9lOCcUAfYdFFFAH//2Q==", 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", 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", "info": {"equation": "99-41=58", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "6c5acc8a8e0c6f9dffd0ae0f97335ac4f295906cf10727a5f592b433ffbc5d9c"} +{"episode": 26796, "episode_seed": 1282893997, "split": "train", "timestamp": "2025-10-28T03:45:09.134747", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1282893997, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [1, 4, 2, 7])", "action": "('move', [1, 4, 2, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "15+33=48", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "15+33=48", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "3a59973f4a2e1cd4ea1514a03810c33d88320c8cc9eeccbf050f17aaab9ea591"} +{"episode": 26797, "episode_seed": 3602515914, "split": "train", "timestamp": "2025-10-28T03:45:09.196385", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3602515914, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 0])", "action": "('move', [7, 1, 3, 0])", "reward": 0.0, "image": 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", 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", "info": {"equation": "8*17=136", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 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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GnaFYwpp9prgumSzIMYxHPJZeaXjGMpHC5ALBn+3K+Yf+Cd3wS+EvwC1/x34G+DPgGw8O6S8Gk3L2Wnq215mN4GkYsSzMQqjJJ4UAcCvp6vpeFYcmRUdb3u/xeh+ccXZhSzHO5VKfM1GMY80rc8+WKXNKzau+13ZJLmdrsrnPizbaPc/D7UhrbbYkg3I6qCyyA/IVB77sD8a6OvCP2vvjAnh/w9d6bo+nzahLpa+Y9jAPmvLttqW9shAJ3NI6rnoC4z0NdOfYylg8rqOau5LlS7t6Jfr6I8TAUZ1sVG2ltW+yR5b8DfEvhHxv+2xpnhTxFCzQ+FtKu30KSSKJrefXmhiaZAxk3CaGxn3KuzkXEx3Dy6+ya+QfG37M/iX4LfDfwsPD2qRSeLLC8j15tYlddk3iASNNdsziH5YpvNmhyE3CKQgAYFfWPhvW4fEvh+y8QQQNEt5apN5TOrGMsAShKkgkHg4OMivL4Wf1WjUy+quWpTd35p2af6fcdWar2s44iLvGS+63Qu0UUV9YeSFfzif8F0PGHx41L/gqN4uj8e3GqJJotxZQ+BIpISFi04IkkDW4HDBpWkbIyTIWzyCB/R3XxH/wUW+Anwa+J/xv1D4g/EL4c6drGteFvhraT+HtQvUZmsZPtOpvuQAhSdyKw3A4KgivlOMKLq5SmpNWlH530/C9z9Y8HeNsFwLxPUxuJw3tozpThZWum7NNX0s7csutm97Wf1f8AtR+IGr/AAJ8Fat8WbaSDxVdeEtNm8TQzQCJ49Qa1ja4VkXhCJS4KjgdK62iivqYR5YKN72Py3EVVXrzqKKjzNuy2V3ey8lsgrM8aT6/a+DtWuvCkPmapHpk7abHtB33AjYxjB4OWxweK06KbV1YzhLkmpWvbo9mfzV/8ExfHP7S9/8A8Fd/AnikS6xd+N9V+IUieN2u7XfctbyyOuqmdXHybYTOW4GzbxgqBX9KlfEfwW+Anwa8MftzRfHHQPhzp1t4u1z4l+J7fVfECIxuLiIR6qNpJJCj93HnaBnaM5r7cr5ThGg6GErRcm7VJLXytr8+p+s+L/HOC47znCYrDYX2Cp0IRa0u3du2n2Y3tDrbWyvZFeRftafCH9ir4r6d4ai/bN0PwVd21jrWfCx8ZX8Vsv21wP3UJkdPMZwozFyG2jKnAx67X4Lf8HN3in4y337bmieE/F81+ng6w8IwT+DYHj22rSSMftcqEcPJ5iIrE/MAkY4GM+nn2YQy3LnVlT51dKz2+f8AW9jzvCbhHE8acZU8BQxbw0lGc/aRb51ZWtCzWrvrqvd5n0sfvItjYooRLOIADAAjGAKlAAGAMAdhX5d/sM/tNanrf7LfgHxZ8bP259UtvEz6Wsuo2GoeP7GIhUmcQrJEw3DMKxZDHccktyTX6Bfs7a94h8ReGbrUtWv5Lu0knV9Pu5JC4lVhuYq38SZIII45PpXFlvE+FzPGRw9OnJNpu7tZW9G/6t3Plc74er5Ji69CpUjP2U5QvHaXLJxuvJ2uvI9Cooor6Y+fCvyP/wCDqTxP8YbLwV8LPCmly38fgO+v7+bWfJjxbzanGsf2ZJXH8Qia4ZEPBwxGSvH64V4B/wAFFfhd8PfjN8J/Dfw7+KXhS21vRL7xtbm8027LCOUpaXbrkoQeGUHg9q8XiKk6uSV0na0b/drb52sfc+G3EmG4S42wea4ij7WFOTvHS/vRcbxvpzRvzRvbVbrc8F/4Nvtb+LGr/wDBOC1tfiNBdLpdh4v1G38FSXNsEEmmYidijAZkQXb3a7j3Ur0UV9815F+wv4W8OeB/2a9K8GeD9Ft9N0rStY1m106wtU2x28KapdKiKPQAfX1r12ujJoOGU0Fe/uR/I8vjLOKWf8V43MaVJU41ak5KK6XfXze8n1bbPJf28vEHxc8K/sZfE3xJ8Bxef8JfZeDL6bQW06HzLhJxETuiXu6jcVwCcgYBOBX4Af8ABHb4vePfAv7YEen2fxv1PwfoGv6ZdnxjqMGuxWS3CRwySQGSWfKlvtBTB+987AcM1f0s149+zJ8GP2IPhr4k8a337KHhzwPbapqGsY8df8IrewzyR3ivKfKuFR28hlZpcRYUA7sKMV5ed5JXzPGUalOv7PlTXW/rHVa9Hrsfc8EeIOC4Z4GzjJ6uB9tLFKNp2Vo3933209I/FT39/te58X/Grwj+xf8AGLwf4t8d/GH4qaT49u9O8JyRT+Ida8UW2p3miWiszxm12nFu3nlSpVQ0khVCWBC194/sn6v8Ttf/AGX/AId658a4LmLxheeCdMm8UR3tsIZlv2tYzOJIwAEfzC2VAGDkV8y/8FI/2f8A4KfFj4rXHin4k/DTTNa1Dwv8NJLrQLi9jY/YpvOum3qoIVjujQ/MCPlHFfatiS1lCzEkmJck/SuLhvB1MHmuMpzqObjyJt9bpu71eq23Plc7zili+HMJhlzNqUpe9a1NL3VCnq3aWjnpHVRSj7t3LX51f8HMPif4xaB+wfpmnfD2W/i8Par4wt7bxvLZR5U2nlu8KTMOVja4WL2LBFJ5AP6K15F+3X4S8N+PP2XfEPgrxjo8WoaVqt5pVrqNjPnZPC+p2quhwQcEEjgg19DnNJ1sqrwTt7r/AAV/x2OTgjPKPDfF2CzOtSVWNKpGTi+qv0vpzLeP95I/H7/ghn8Zta8PfC3xt4N8ZftOX/grw7Z6xaz6DYQ+KbTTkluZY5PtTgSgs52x22T90duSa+rL/wAMfBnwd8RPh38WP2adZstU+JOufF2xij8T6RqMWo6nr8dxcxjWo7qYMxngWw86SRT8kAijZRHxn6w/4J6fCn4b/CH4beK/h78MvBdhouiaf41b7Hp1nFhI9+m6e7HLEkkszEkknJryLwB8A/gzon7eEfx60n4cabB4y1H4pataXviFUY3EkAsr1dnLbVG2NASoBIXk8nP57TyrEU8Nga8q8mpzglHX3b9tenoj9DznjrA5vxpmea06MqUJqTUI2tUtFRUauqXLPWVS3PdtpLXmX2/RRRX6ofiZ8OfGvx5HYftsfFqy+NvjOTTNN0rwZpD+FINTnjt7WPQWt3a+u4CxAkJvfMSZznb5NupwCu7yj9mL47eHfGP7MnhM/GX9ti/lutQ0EJq+i6v47sLdZrZiypDNAApQNBsDJwRuIODmvvf46fsnfs3/ALTN/oGp/Hv4O6L4quPC9411oMuq25c2kjFC2MEblYxoSjZVtgyDiu/NnaE5NrGT/uCvjK/C+MrY+tXjinBTd9L39HqtFst9D7fGcR5RVyqjSpYb97amptqKUfZw5FyNXb9p8dS6j7yXxbnlP7LvhEWJ1zx7ulI1pbSCPdjy2SASkOnHOTORnJHyjHQ161QAAMAUV9LluCWXYGGGUr8q32vrc+PxNd4mvKo1a4VyafCTRk+Ix+IIvH3E+Z9j2DaJdu3fu64749e+OK6yitcRhMNi+T20b8rUl5NbMinWqUr8jtdWfoYHxF8A2fxC0RNKuL1raSKYSwzrHu2nBBBGRkEH1FaXh3Q7Pw1odroNgWMNrCI0ZurY6k+5OT+NXaKI4TDQxUsQo+/JJN+SB1qjpKm37q1sFFFFdJmFeE/tMfDZvHnjgaP/AGVIja9oiaW99bKTI8W+bjJyoKedIw443EnivdqK83NcuWaYT2Dlyq6f3O9jpwmJeFq86V9Ggooor0jmCiiigDwnwV8N2m/aHXVTpUlmuja5qGqssKkRvJcRXMZZiwOQ5uXfgjJ6cAivdqKK83K8uWW0ZwUubmk5XfmdOKxLxM1K1rJL7grz74+/sp/s6ftS2mj2P7Qnwh0fxZFoF8bvR01aAt9mlIAYrgjKsFXcpyrbVyDgV6DRXfUp06sHGaTT6PVCwmLxeAxEa+GqSpzjtKLcZK6s7NWa0dvQiWxsUUIlnEABgARjAFSgADAGAOwooqznCiiigArzz9pXRV1fwPaXD6Utz9g1VLlZCCTbsI5E8wY9nZTnjDGvQ6OvWuTH4T69gqmH5uXmTV+xth6vsK0alr2dzjfgD4QbwT8LLHRnEweW6vL2RZxhla5upbgrjAwAZcAHnAGea7KiitMNQWGw0KKd1FJfcrEVZurUlN9W3955L+3l4g+LnhX9jL4m+JPgOLz/AIS+y8GX02gtp0PmXCTiIndEvd1G4rgE5AwCcCvwA/4I7fF7x74F/bAj0+z+N+p+D9A1/TLs+MdRg12KyW4SOGSSAySz5Ut9oKYP3vnYDhmr+lmvOvgp+yT+zX+zlrHiHX/gd8GdE8NXniu8F14gn0222m8kDOwzkkKoaRyEXCjccAV4Od5Hic0xdKrSrOnyJrS91fqrNavZ6rQ/V+CvEbLuFuCc2ySvg1Vni0lGWllpb3762h8dOydp32vc+YvB8vgL40XWq+FfDvx0k8c6rq2mfYLm4Pie31G6tbV96gKIhhEDSM2SuMnk9q+4IIhDAkIOQiBefYUkdvBEd0UKKfVVAp9dOTZNPKpVZTqupKdrtrtfzd9z8zxuNWLUUocqjfbz+4K+Yv8AgpR4l1/QB8JrW91u603wZe/EiJPGF3EQkBZLSeXT4rmQkeXC98luOSAziNSfmAP07WH8Svhr4D+MXgPVfhh8T/Ctprfh/W7NrXVdKv490VxE3VSOoOQCCMEEAgggGu/MsLPHYGpQjLlcla/9dO/kb5JjsPl2aU69eHNBXTWjdpRcbxvpzRvzRvpzJH52eGfj5o1r+1J8U/CbftdXvhjQNNTRfLsLTxZZWECau1vKl6ilwWkZYobIOCTscsvBBA+hv2YdD8I/EDxfofiPwZ43/wCEitNH1i51G61u21SK9+03TQTxP50yZUuftBJAweB2r374P/A74R/AD4e2Hwo+DXgDTvD3h3TPM+w6VYQ4jiLu0jn5slizszEkkkmupjjjiXbFGqj0UYr5jB8KYihUozq4lyVNqXLZ2uuiu9PW2x6mcZ5gcVian1OhywcVFN2UmoxUeaSV0pStzSSk7N7vduooor7Q+WCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArkPj58d/hX+zF8G/EPx9+NviqLRPCvhbTmvdZ1KVGfyowQAFVQWd2YqiooJZmUAEmuvr5N/4Le/BX4n/AB5/4Js+OPB3we8JXniHXNP1PQtei8O6dHvuNUg03WLO+ntok/jkaG3k2p1Zgqjk0Aeyfsl/tefA/wDbX+FB+MPwG129utNg1a50vU7LVtKmsL7TL+3YLNa3VtOqyQSrlSUYA4dT0Ir06vi7/gjb4W8f6hB+0F+0v4r+GviTwfo/xj+Peo+JvBugeLtIk0/URpgsbK0S5ntZMPbvLJbSNscBtoUnqK+0aACiiigDxv8AbK/bx/Zz/YN8L6B4t/aJ1/U7K18S67FpOkrpWh3F873EjKoLiFGEUYLoC7kLl1HJIFeyV8Mf8HCPizUrX/gn/c/DXw18LPHXivWvE/i/QW02x8EeC73WHjWy1eyvZ3mFrG5hXyYJCrNgMwCjk19lfDH4gaV8V/hzofxN0LStWsLLxBpUGoWllr2lS2N7BHLGHVJ7eYLJBKAcNG4DKQQQCKAN2iiigArwL4lf8FL/ANk34RftWaF+xz8QvFOtad4s8Rajbabpt7N4Wvf7IbUbmEzW9g2o+V9mF1JGAyxb92CM4zXvtfnH+3d8a7/41f8ABVz4Q/so/FP4K/FK3+Ffww8SaT4uXxD4e+GWp6lY+JvF0h2abC97BC0NpY2QnM88rtzJhG2rGzUAfo5RRRQAUUUUAeBfs7f8FLP2Vf2oPj94i/Zm+GOu+IYvF3hzTH1N7HxD4RvtMTUtPS5Nq17ZSXMSLd24mGzzY8qSRjI5r32vzV/YO0rxT8QP+C0nxE/aT+GPwU+NOgeCtY+FE1h8QLv416Pcw/YvEQ1cSwWGjPdFitoIjO7R2zG2zsK9q/SqgAooooAjurq2sbWS9vbhIoYYy8ssjAKigZLEnoAOc15T+xj+21+z3+338IZ/jp+zN4oudZ8Mwa/eaONQudPktvNuLZlWQosgBZPmBVxwQaxP+Cl/w/8A2hfix+w78QPhd+y5okOpeMPEemRabb6fNriaYbmymuYo7+JLt1ZbeRrNrlUkKttZlO0kYr56/wCDfLwV8e/ht+z98XPA/wAbf2V3+FEEPx/8UXXh7Q21Q3KfZ5rrLRQEwReZbQlVjiuVBS4QCRQo4oA++qKKKACvGv2xP26fgr+xDpvhe9+LukeL9TufGWtS6V4c0jwR4Qu9bvry5jtpLl1W3tEeQhYYpHJA4Ck9q9lr4d/4LkeCPhp4n+DPhXxF458E/tAX+seHrzVbzwLrH7PlrdvqOl62+nS28DTvZ/v4o5BM6Bh+7PzCQhTggH2Z4B8Zad8RPA2jfEDSNO1KztNc0q3v7a01jTpLO7hjmjWRUnglAkhlAYBo3AZWBBAINa1eSfsEp+0JH+xR8KU/awa4PxKHgLS/+E3N4VM/9pfZk87zdvy+buzvxxv3V63QAUUUUAeI/Gz/AIKGfsxfAL9obwz+y3468R6xP4z8TwQXMenaF4avNRTS7We4+zQXV/LbxuljBJPmNZJSqlgecDNe3V+PP/BRH4BftkeC/wDgsbqnxq/Z/wBK+MK658QB8O0+HGr+Bxc/8Iz5VhqLxa7ba+0f7lYksnllRJ/lP2himX6fsNQAUUUUAFfNfwL/AOCqn7NHx+/aeb9kHw54W+JOh+NzpN7qdvZeNPhtqWjw3VnaSrFNPFLdRIske91AZcglhg819KV8efsm+AvHPxV/4Km/tE/tf/EHwZq+maX4Z03R/hd8M5dY06W3+1WNtH/aOqXUHmKPMhlvblEWVMq/2U4JxQB9h0UUUAf/2Q==", "info": {"equation": "8*17=136", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "8258dcbbfa5e47d94c29694c0717cb1bb2d9215ebc8c23b04da28f8bf3ec62f5"} +{"episode": 26798, "episode_seed": 633255199, "split": "train", "timestamp": "2025-10-28T03:45:09.238260", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 633255199, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 5, 1, 8])", "action": "('move', [0, 5, 1, 8])", "reward": 0.0, "image": "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", 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dK0jSviRqdtp2nWMIjit4ljt8Kqj8yepJJJJJNfm+UYOVHi+rB1G+VN373to/v/A/pfjXxgyniPwroZHSy5U6loJv3eSnyP4qVtU5WtqlZSkry3f0RRRRX6QfzQFZPjvw54K8X+C9V8MfEfSdPv8AQL6wli1mz1aNHtpbYqfMEof5dm3Oc8DrWtX5j/8ABzf8Qf2ofCH7O3hDQPhNcava/D3XLy+t/iTe6XD8hb/RvsVvcSr8yQyFrgFeEdlVWz8qngzPGRy/AVMRKPMorZden3d/I+q4I4crcW8V4TKaVdUZVZWU5fZsnLTvLS0FdXk0rq9z61/Yx+AX/BNb4Z65ruv/ALDehfDhtSltIbfX73wdrcOozxQMzNHG7rLI0SOyMduVDmIE52DHv/2Kz/59Iv8Av2K/lA/ZL+MPxz+Cfxz0bxP+z18QtT8N69dzrYNe6beJD5lvKyrJHKZP3ZjPDHzPlUqrcFQR+6E/xx+HXmuIf+CguplNx2n/AIWbp/Tt/DXyGB4zwNPDqMqDj5QSt+h+leL/AIY5jwjntJ1cweK9tG6lUb9quWytK7lp/I762at7t394pFHENscaqPRRinV8zfCb4teJvHdzp2qfDr4kN4piRktRd2uppdwz7CoYSvESmc43twRu7Zr6Zr6TJs6pZzCcqcHFRdtet/61XQ/GMZgp4JxUpJ37BRRRXtHEFfzj/wDBef4gftPeJv2/PFHhP4+XOsRaFot5Ivw7068hMVoulORsnt1HyP5hX55eWZk2sRsCr/RxXjv7Zfwe/Yg+K/gvSj+3JovgmXRLDUz/AGNe+NNSiskhunjbMcU7yRkF0RiYw2GEYJB2AjwuIcsnmuA9lGpyWd9dn6/n6n6r4P8AHOF4C4r+vV8I8QpxcPdSdSLevNTv1duVq6vFvXo/xN/4Ik/tDfFzw7421r4T69+0vrHg/wCG1rpE98tqviW3sYE1R5YVTy2nBILIJiVTgkZbnBP3/wDEvWv2ZfjR4aPgj42/tdr4u8PPcJNd+Htd+J9sbK7ZM7BMkLRmVVYhwrHbvVWxlRj7c/Z4+HX7PXw7+EGj+Gf2ZtC8OWvgpIml0YeGZI5rOVWYlpElQsJSWzl9xJPU15//AMFI/B/hbxj+yFrnhHxRoNte6ZqniLw3aahZzJ8s8EmvaejocYOCrEcEHng183V4YxuHy2TeMk4xi3yq/Lor2XvbfL5G3GPH2F4o46nmuHwv1W84pONlUTi7c7ty/vOr95apLm05j4x+IPgX4f8AwT/a2+EWtfsY+D9K0X4qah4vtLHWtF8G6TbD7V4Wkdf7RkvbdBthhSIb1mKoS68MSoFfqPXwd+yt+y/+z3+zn+1/4El+B3wk0jw1Jqml68uoz2EbmSdUgtiqs8jM20Ek7QQM84zX3jXocE0nHKpT5m7yenRW7evU+d44zfD5jiKFCk5TVKNvaVElUnd3s0pStGG0I88rK7vryxKKKK+xPhj8o/8Ag6A8f/tOeHfhx4K8I+B7nWLX4Y6z56+MZ9Phxbz3quhtoLiVeQpUOwjbCsyg8lRj8sf2EvjJ8bvg3+0j4evfgh8TtT8LXGr6jb2GtXmn6hHbrJp7zIZ1laX93tCAtl/ukAjBxX9SPxD+Hfgb4teCNT+G3xL8KWOuaDrNo1tqmlajAJIbiJuqsp/AgjkEAgggGuD/AGeP2Hv2S/2T7zUtR/Z3+BGheFrnWIki1K6sYWaWeNCSqF5GZguTnaCATgkEgV8ZmvDGKx+a/WoV+Vad7xt/Ltp81uz+jeDfG3JOGfDarw7Xy1VKrU0n7vs6nO/iq31bje2id1GKvHp8wTfHD4dl3WP/AIKC6ntyQpHxN0/p/wB810PhT4ZeBvjP8MIvhZ8NNUivPD1/bfYob7QLxLlI4xIA7CUb0yGByTkAkg19n/YrP/n0i/79inpHHGu2NAo9FGKznwhXrTi6+LlNRd9U3915Ox+HRziEItQopX/rsLRRRX254YUUUUAch8SvhFpvxDuIdR/tJ7O7hj8sSrEHV0zkBhkdMnGCPvHrWv4I8GaX4E0JdD0t3kHmNJLNJjdIx7nHHQAfQCtiiuGnluBpYyWKjBKpLd/1p8zeWJryoqk5e6ugUUUV3GAUUUUAFFFFABRRRQB4P+0R4UC/E8eNm8OKs02jwaeuqRqxMsKSSyLEx+6CryykDg/Metdf+y98MT8M/A2peb9qWbX/ABHdaxPFdgBonm2LtAwCFxGMA5PPWvScA9RRXhYXI44bOKuP9o25q1rbXt167aaL5nfVxzq4OOH5bW6hRRRXunAFZ3i/wh4W8f8AhfUPBPjfw9Z6to+q2j22pabqECyw3MLjDI6MCGBB6Vo0Umk1ZlQnOnNTg7NaprdPujyX9nj9hH9kH9lDWdR8R/s8/ALQfC+oatarbX9/ZQu80kKtuEQeVmZULYJVSAxVSc7Vx6t9is/+fSL/AL9ipKKilSpUIclOKiuyVl+B047MMfmeIeIxlWVWo7XlOTlJ20V223otENSKOIbY41UeijFOoorQ5AooooAK/nH/AOC8/wAQP2nvE37fnijwn8fLnWItC0W8kX4d6deQmK0XSnI2T26j5H8wr88vLMybWI2BV/o4rzv9on9kv9m79rPRNP8ADv7Rvwf0fxZa6TdNcaYupxNvtZGXaxSRCrqGGNyg7W2qSCVUjw8/yqrm+C9jTnytO/k/J/n6n6j4ScfYDw74neY4zC+2hKDhdW54Xs+aF9Lu3K1dXi3r0f4X/wDBEn9ob4ueHfG2tfCfXv2l9Y8H/Da10ie+W1XxLb2MCao8sKp5bTgkFkExKpwSMtzgn9F9R+KvwU8QxRWHjP8AbRHiCwju4LltK1r4i2MttLLDKs0LOi7S2yVI5Bz95FzkcH7T+EPwP+EfwD8AWXwt+Dfw90zw74f07d9k0vTrcLGhZizMc5LMSSSzEk9zXTfY7P8A59Y/+/YrwqfCWOjh1TeNkla1knbzXxLT5GfH3HuX8X8VV81w+CjSjO1lpzO2nNJpW53u7Xtoru138+fBH4Yv4j+MOi/E2cXSL4asr+OBlUCKVrpI0YMSOSBGCACMZ5r6HowB0FFfSZNlccowSw6lzat3tbfy1/M/PMZinjK/tGrBRRRXqnKFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQBmeM/GXhT4d+EtT8e+OvEFppOi6NYy3mq6nfTCOG1t41LPI7HgKFBJNfLn7N3/Bb3/gnh+1P8YdE+CHwz+KGs2useLEuG8EXPibwjf6XZeKBAxEn9nXNzEkd1jB4Q5OMDJIFdp/wVZ/Z7+JH7Vv/BOX4xfs8fCAI/ibxV4Iu7PRYJJhGtxPgOsJY8KH27Mnj5ua/KP4c/DH9pX9s7X/APgnp+zJ4L/Y7+KXgXVv2X9Qiuvi54o8aeDZ9K07SVtBZIyWl1KAl4ZTaOyiInJaLPUlQD93qKKKACiiigAooooA8j/bK/bg/Z9/YO+GcHxV/aG1vVbbTry9NpYW2h+H7rUrq6mWJ5mVIbaN2wsccjsxwqqpJIrY/ZR/ak+EX7aPwC8PftLfAjVLy98KeJ7d5tJub+we2ldFkaMlo3AZfmQ9frXmP/BWD416T8IP2J/Gmj3nw88c+Jb7xp4f1Lw9otj4D8FXut3AvJ7Gfy2ljtEdoYSV2mVgFBZRnJArwv8A4NufiLe23/BOfwb+y94y+DvxG8I+Lfhxoqx+Irfxv4A1DR4He4url0W2muokW5wq5bZnbuXOMjIB+g1FFFABRRRQAUUUUAfJ37Tf/Baf9hb9kjxzrPgj4w6342jTw1eRWnijxFpPw41a80fRp5CoWO5vooDBG3zrxuP3h3r6Y+HfxD8EfFvwHo/xP+Gnie01rw/4g06G/wBG1awl3w3dtKgeORD6FSDzyOhwa/J//gtP+2Z8df2lfjTqn/BL3S/gH8ZfB3wTkCR/F34ueGvgzq2vXOvQjy5jpmkLbwPGqPwr3TEjhgBhdsn6UfsTaL8IfDf7Jfw+8N/APwZr3h7wZp3hi2tPDmjeKdIuLDUba2iXYouYLlVljlO0swdQSWzjmgD1GiiigAooooAKpeJPEWjeEPDt/wCK/Ed8trp+mWct3fXLKSIoY0Lu5Cgk4UE4AJ4q7WL8R/Ft34B+H2ueObDwdqviKfRtIub2HQNChSS91JoomcW1ujsqtLIV2IGZQWYAkdaAPmD4Wf8ABbv9gv4qfHzwz+zbBr3jbw54l8bMy+Cv+E3+HGq6Nba+RnBtJruBFlDY+UjhsgA5Ir65r8P4/hx42+N//BaD4FftJfsKfAX9pWaPTvEt/dfF6/8A2ivDuojRPD+m3M26ePTTq4P2aUK0wjW1O1T5ITjNfuBQAUUUUAFFFFABWT498d+Dfhd4J1f4kfEPxJaaNoOg6dNf6zq1/MI4bO2iQvJK7HoqqpJ+la1fDf8AwWs/Z7/bZ/ag8PfDT4V/s8fBTTPiJ8No/Ff9q/GHwLeePIvDr+JLa22SWenvdyRS4tWnG+ZFjYuIlXK53AA9j/4J9/8ABTj9kz/gpz4K8QfED9krxRq2q6Z4Z1VNO1WbVdCnsWWd4/MUKswBYbe46dK+ga/Jb/g2s8FftjfDD4xftR6N8c/2L734deHvEvxj1TWk1DUNSaNLe8a4kxY2UL20YvbRVY7b2IiNggwg3DH600AFFFFAH//Z", 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"info": {"equation": "3*1=3", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "3*1=3", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "3c6038c581349d1ea279a362796ff52ef5b02331113c7107106b0b83d4d1ebd6"} +{"episode": 26799, "episode_seed": 3864365045, "split": "train", "timestamp": "2025-10-28T03:45:09.307152", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 309, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3864365045, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 3, 0])", "action": "('move', [4, 6, 3, 0])", "reward": 0.0, "image": 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", 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", "info": {"equation": "71+70=141", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "71+70=141", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "b93c4d9f8dd9ef1263215fef077f9adaac13aa7f17de0920b41a3312fea546d3"}