diff --git "a/matchstick_equation/sos/train/batch_000306.jsonl" "b/matchstick_equation/sos/train/batch_000306.jsonl" new file mode 100644--- /dev/null +++ "b/matchstick_equation/sos/train/batch_000306.jsonl" @@ -0,0 +1,100 @@ +{"episode": 30600, "episode_seed": 1171915347, "split": "train", "timestamp": "2025-10-28T03:46:22.322982", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1171915347, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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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fwrp8t6ngi9v9Rn1URJ/o8upxpELYSMP4hE9wVU9cuRnHF3/gmP8AtI6lN+x14E1L4vftqalpmrafHJBbaPfeOrK3SOyt52jtY2hcb9nkogwxyV+ua/TT46/s+/Bf9prwBJ8Lvj18O9P8T6BLdRXLabqSMUE0ZJSRSpDKwyRkEcMR0JFdJo3hrw94e0e08P6FolraWNhbR29laW8CpHBEihURVAwFVQAAOgFeBjuHMZi8zqYmniXTUktr30VrbrTr8z9CxXiHl1fw0wPDP1Je1oVZzdR2s0+Zq2jfM+e0r6WhHfaPL/AXVde1jwN9t1y5lnDXT/ZJ5mLNJFgHOT1Gc4NdrQAAMAUV9HgcNLB4SFGUnJxVrvqfl1eoq1aU0rX6BWH8TbvxXYfDbxDfeA7cy65Dod3JosSxhy92IXMK7Tw2XCjB4NblFdMlzRaFSmqdWM2k7NOz2fk/I/n4/wCDfrxh8etQ/wCCrwvpZtVu5td0rW3+JdxdwF5GjKtM0lwWGUY3y2wLcHe23+I1/QPXx7+xz8E/hN8Pf2udf+JPgnwDYabr3ixfFUviPVbdW86/ddZhILliQOWJwuASckcCvsKvmuE6Lo5ZKLk378t/J2/S/qz9M8W+McHxxxTDMMNh/YxVGnC2l20m23bTTm5Y/wB2MdtlzPxpvvG+l/BzxZqfwztnm8SW/hm/l8PwxwiRnvlt3MChW4YmQIMHg9K/nX/4JIfFv4h+Hf257rVPEfxq1TwpH4g07Uj431yTWYrKadsNMBLNcA4droRkj7xOe2a/pOryn4EfCH9jnwN8SvH/AIh/Z58PeDYPFWr6wsnxGfw/dxTXQvS8rhbpFdjA5dpm2ELkljjOavPMmrZpiKMqdb2fLf116rVa6a67GnA/HWD4Y4TznLKuD9s8XCMVKytCza99u+i5uaFvtpd7r4a+M9j8G7rSbn4+fCn4h2/i74tWviLRovCfi2LXLfVdY/tP7QsVpYRMpwsUiPOjwKArxyTuwOCy/p3Xxz8efgd8Ide/bu07416z8PtOufFehax4VtdH1yVGM1pC94NyoM7RnzH5xn5jg19jVzcMYWeEqYqE6jm1O131aW/XV319D5jiPNaePy7BUYuTcIybcunNypU46v3IKF4/DrKVordlc98VbfSrj4faoustthW2LKwUEq4+4QD33Yroa8T/AGwPio3hjwncaPo1hLfXdpEJzZRDm5nbC29uDgnLyMo6cZBr1s8xVPCZXUlJX5lypd3LRL+uh87gaUq2KilpZ3b7JHnf7KPiHwt40/a41231GFzdeF/DTWvh15IozFLM8sTak8bby2+MPYRH5F273GTuIH1hXydefA7W/wBnG9+H2qaFdLdaroN0l/qd07oP7RkuNy6su8xADzTNJKoAX51iyVAyPrCORJUWWNgysAVYHIIrz+F37DBywU1apSdmu99U/n+h05ouesq8XeM1p8t0LRRRX0x5Z+eP/By54j+LGh/8E/bOw8AS3seian41s7bxo9nHlTZeXK8SysOVjNykA9C2xT1wa/8AwbK6v8TNQ/YE1TT/ABjDcDQ7Hx1eR+EXngCq1s0cTziNsZdRctNzzhiwzxgfXn7cng7wv8Qv2Y9e8D+NtFh1LSNVvtKttRsLjOyeF9TtQyHaQcEehBrO/YH8CeDvhh8CZfh98PvDltpGi6T4l1CDTtNs1Ijgj83OBkknkkkkkkkkkk18u6DXFynzPWle3ztb06+p+qLjTB/8QhfDX1Ze0+s+09ppta9+/P8AYvtyaX6Htdcj8ePCPwX8d/CDX/Cn7RNlotx4Ju7EjxFH4huFishArB90sjsoQKyqwbI2lQQQQK66vzj/AODm3xJ8WNF/YW0TS/A8t7H4e1TxrbweMntEyjQLFJJAkzDlYzOiH0LqgPOAfazPFRweX1K0o8yinp39fLv5HyvA+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/XZLsOooor9CPyoK/n7/AODiDxd8dH/4Kfiw1GbVEstF0XSX+HEawHaEaNJHkgAH7xjeiZS2CS0YXoqiv6BK+OP+CinwT+E3xP8Ai7pfjH4g+ArDV9T8KeDXu/Dl5eKzNYTm6J8xACFJyiH5gcFQRXzPFtF1cnbUrWlF+utv1v8AI/UPCPjHB8EcWPMMTh/bRlSqQtpdNpNNX015eV/3ZS32f1R8KrzxfqHwv8N6h8Qbdodfn0Czk1yJ4whS8aBDMpUcKRIWGBwK36KK+liuWKR+Z1ZqrVlNJK7bstlfovJH55ftj/E+fwx4/wD2lr/4k/EG70a80bw3ZDwh57xRtbaYdKDWs9mj8Sl9TkvE3YO6VFj5wFrS+F/xT8JeNLbwzB4p/asl8V6+1pBL/YN/43s7sfb2t8SFIIsEuu6UADOATxX1/wDEn9mH9n/4wfEfwt8Xvid8J9I1rxL4KnM3hbWL2AtNp8hZX3IQcHDKrLuB2sMjB5ruFtbVG3pbRgjoQgr4vEcKYvEYqvU+tOMajbsk3dPo9Vtst9D7HHcR5VVwOHhQw/7yMY87aiknGEYLkau2pcrnJtJ80rWduaXN/BbwkfA/wt0bwyxl3QWxdhPjeGkdpCDgDGC5GPauooor7ChSVCjGmvspL7lY+MnJzm5dwooorUkKKKKACiiigDxf4L/D82Hxs1TxG2mSWY06HUIRDGpEW+7uopnOW5JJj3DB6OT3Fe0UUV5+WYBZbhvYqXNq3d+budGKxDxNXnatol9xzPxpvvG+l/BzxZqfwztnm8SW/hm/l8PwxwiRnvlt3MChW4YmQIMHg9K/nb/4JG/Gf4neGf23L6XxB8ddZ8JWfiSy1CXx5qr67HZPdSqskqGeS44Mn2lh/t5dh0LV/SVXBfC39lz9nr4J+MvFPxC+FPwk0bQta8bXwvPFOo2NtiTUZ98j73ySB80sjYXAJcnGa83O8lxGa16M6VZ0+S+1769VZrXpvsfpHBPH2X8K8K5vlVfCKrLGQjGMtLRaunzX1sr80bbTS73Xz58BI/BvxZ8a2jeFvi7J40nt9dsb3VNWXX4NRnjFtKs0UcjxfKifuyACATubByePsCmxwww58qJVz12rinV1ZNlUsqpTjKq6jk7tv0S7v8z87xmLWLnFqPKkrWCuYvfhdpN78RIfiFJdv5kSDdbbBtaQLtV89eB29QPoenor0MRhcPilFVY35WpLya2Zz06tSk24O11b5M5r4jfDTTviNBaRXt/JbtaTFg8aBiyNjcvPTOBz29DXRQQxW0CW8K7UjQKijsAMCn0U4YXD0q860Y2lO133tsEqtSVNQb0W3zCiiitzM5H47aSNb+F2pWLaaLpQ0ExiIJwYpkkDjHdWQN/wGqX7OvhM+E/hyA4mDalqNzfsswwVMr5wOBxgAjPrXd0V5/1BPNPrvNryclvne50fWH9V9hbre/ysFc/8VPhX8O/jd8PtU+FXxZ8I2eveHdatxDqmk36ForhAwYA4IIIZVYEEEFQQQRXQUV3yjGcXGSumZ0a1XD1Y1aUnGUWmmnZprVNNapp6prYwfh18L/h78JfA2lfDT4beELHR9B0SyS00rTLOECO3hUcKM5J9SSSSSSSSSa3VVVAVVAA6ACloojGMUklZIVWrUr1JVKknKUm223dtvVtt7t9WFeOf8FBtc8e+G/2LviJrfw1vNRttVg8POTd6PD5l3bWpdBdTQj/nolsZnUjJBUEcgV7HSSRxyxtFKgZWBDKwyCD2NZ16brUJU07XTV+11udWXYqGAzCjiZQU1TnGTi9pKLTs99Haz0Z+a+tfG/wZ4d/ag0nwj4R/ajfwr4dk+Foub9dI8VWdrbykXcX9mN5sm4uWglvGVQcFNr9CCfqj9kz4j3XjjVIU8N/FaXxjpNtbyw3eqNrEd8N4O4B5Yvk8wFwMcHaR6CvRPgR+y9+z5+zH4ev/AAp8AvhLo/hbTtT1J9Qv7XS7fas1wyqpc7iT91VAUfKoHAFd3HFHENsUaqPRRivkst4XxmDnSlPFO0HflV+X0369dO57md5zleKquGCo+4oqKlJJTl1cpKN1e7skpOySV3YdRRRX2R8sFeLftMfDweOfF2naYNMkB1XTjp7Xtup8zYZCWXJyo2g7hkdyTwK9porz8zwCzLCOg5cqunf0aZ0YXEPDVfaJX3/FBRRRXoHOFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXj/wC2b+3V+zl+wR8PtP8AiT+0d4ovrGx1bVDYaZa6Ro1xqF3cyrDJPKyQW6NIUighlmkfG1EjZiRXsFfA/wDwW48OfEvQPEXwb/aP8H/BbxX490jwevjXRtc0PwXokmpXyTa34Zu9Pspvs8eWMX2kpE79I1n3HgGgD7p8K+KPD3jjwvpvjXwjrEGo6TrFhDe6XqFq+6K5t5UEkcqHurIysD6Gr9eRf8E//hN4z+A37C3wc+CfxFj2a/4T+GGhaTrcW8N5V3b2EMUseRwQrqy577a9doAK5n4zfF7wN8AvhVr/AMZ/iXf3FtoPhvTZL7U5rSxluZREgyRHFErPI5OAqqCSSAK6auQ+P3xA0r4V/BPxT8Q9b0TWtStdJ0S4nnsPDmjTajfTgIRtgtoFaSZznhFBJoAi/Z2+Pnw5/ak+B3hf9of4RX11c+GfF+kRalok97ZvbyvBJ90vG/zIeOh5rtK+Rf8AghTr2pXv/BLX4UeDfEHw+8W+GNY8H+H49B1zSfGXhe60m6S7gVWcpFcojSRfvBtlA2sQwByDj66oAKSSRIo2lkYBVBLE9hS0kjiONpGBIUEkAZJoA8S/ZK/4KFfsx/tr+I/Fvg74GeItYfVvBUtt/bel+IPDd5pdx9nuQ5tryKO6jRpraYRyGOZQVbacds+3V8Bf8Eh/izqH7T37UHx7/aw+K/wg+I3g7xz4qvLHS9M0Hxj8PdQ0i00jwrp0tzDptvFc3MSR3dzM0lxdz+WSENwiDhMn79oAKKKKAPEbr/goV+zRp/7Y9l+wtqWs67a+O9TimOltdeF7yPS76eG1W8ltIb9oxby3CW7LK0SuWVTzg8V7dX57fGfTvFPxN/4Lo/B3xT8Lvg/8XI73wDb61ZfEPWvEulXH/CGR6FNpDmC702WQtbi9ku5YYS8G2YrHIkg2qK/QmgAooooA8s/aw/bL+AX7FXhPw74y/aA8VS6ZaeK/GNh4X0FLaze4lu9SvHKwxKiAnHyszN0VVJNep1+X3/Bwf8Ev22PiT4m8BfED4F/svL8TfCnhOXRms4bTxMLW60rXJPE+lyvcfZVglkuFa2tEtzMNq20VzcytuVWWv0706a9uNPgn1GzW3uHhVp7dZd4icgFlDYG7ByM4GcUATUUUUAeaftYftXfCv9jT4UD4xfF6216402TWrLSbWy8MaBPql/d3l3MIYIYba3VpJXd2CgKCea6n4SfEvR/jJ8NNE+Kfh/RNb02y13T0u7aw8SaNNp1/AjDhJ7adVkgcd0cAivCv+CsPhD4Q+Mv2UPsnxx8HfF3WPD9j4r0zUZD8D7W4l8Q2NxbymW3uoRbfv1VJljy8PzqSp4UMRqf8Epl/aTT/AIJ3/Cdf2vG1k/EL/hGF/t4+JGzqW3zpPs32s9ftP2byPNzz5m/POaAPoOiiigCtrOsaV4e0i78Qa7qENpY2NtJcXl3cSBY4YkUs7sx4ChQST2Ary79kH9tj4D/tyeBL74k/s/3+t3OkWV+LdbnW/DV3pv2tGjWSK6txcxoZ7aVGDRzJlHGcHgirv7a3w18X/Gf9jf4s/B/4fEf294q+Gmu6RomX2g3dzp88MIyenzuvNfH/APwb0eGv2h/CPwW8b+HvibpvxZsfBdjceHrTwVp3xlWddUtb6LQ7WPW44FuP3iWC6grrAo/dBVby/kxQB+htFFFABXz58I/+Cl37PPxk/ay1T9izRPDXxB0jxxpljqN95Xin4fahplne2tlcpbT3Ftc3Eax3EXmSIFkjJVwwIJyK+g6+UP2c/A/jP4jf8FUPj5+03408J6pYaT4T8L+H/hv8P7rUtPlgS9gVH1bVLm3MigSxNc3dvD5iZUtZkZypoA+r6KKKACvAvjV/wUw/ZI/Z+/ah8M/sg/Evxnqdt4x8UPp6Wq2vh+6uLGye/nkt7BLu7jQxWrXM0UkcQkYF2UgV77X5Qf8ABSP4N/HHxV/wWa+H/jfw78CfHWrzR6h8O28A6zoGhSTeGZbW01q/m199dlUeV5ttayxy2hnO6N33Q/MTQB+r9FFFAH//2Q==", 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", 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", "info": {"equation": "6+15*1=21", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "6+15*1=21", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "40b9c54c77a3fa44dc27f0237fc0d99e86ab113100e72bca54439031d9ea93e3"} +{"episode": 30601, "episode_seed": 1600081672, "split": "train", "timestamp": "2025-10-28T03:46:22.409791", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1600081672, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [5, 0, 3, 6])", "action": "('move', [5, 0, 3, 6])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "1*18=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": "1*18=18", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "3e4a58118e3b7a9f4559a8c2d11f2cb22ad2b236f864db63a56b4bb5b1128c5f"} +{"episode": 30602, "episode_seed": 1650486429, "split": "train", "timestamp": "2025-10-28T03:46:22.454033", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1650486429, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 5, 0, 4])", "action": "('move', [4, 5, 0, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "6/2=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": "6/2=3", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "59347f067a8fd5e958f5fd117d1b3aedb91c45f4f7ec7db8ea68bd13710dcce5"} +{"episode": 30603, "episode_seed": 2119294165, "split": "train", "timestamp": "2025-10-28T03:46:22.519990", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2119294165, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 3, 4])", "action": "('move', [1, 6, 3, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "20*6=120", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "20*6=120", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "5a1093a3b375e3bc0ab92946caf169e039946cf55ff30df8818fb0f1cb084b65"} +{"episode": 30604, "episode_seed": 1425665627, "split": "train", "timestamp": "2025-10-28T03:46:22.576476", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1425665627, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 1, 1, 7])", "action": "('move', [0, 1, 1, 7])", "reward": 0.0, "image": 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", 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EpybtUcfu6+rvr6I+B4uzelmOGwdGMpzcIuTnP4vf5f3a96X7uHK3G7V3Ob5Y3sFeB/8ABUXxV8b/AAR+wB8UfFX7Ob6gni+y8O79Om0mHfcwQmaMXUsQ6h0tjO4YfMpXcvIFe+UdetfW16TrUJU07cyaut1dbr0Pmcpx0MszWhjJU1UVKcZuEvhkoyT5ZeUrWfkz+WP/AIJ9fEb4q+D/ANp/w1ofw+8WXtlaeJte06x8VW0Nwojv7D7dBK8cofhhuRWGPmyPl5OD+3Xh/wCIFr4S/aS8Q6DF8TTpd/q/hrSo7TQhq8cLXwWa+ZpEiJDyOoTG5eilgetei/Fn9jX9lv8AZn+Cnjrxb8BfgfoPhfUvEt7pj61d6XbFWuManC4UZJEabnY7E2r044GOg/ZKjjb4u+P3aNSRpWiYJHI+bUK/L1w7icPmdLBOvZyjJ3V9F2Wq3trtufsHib4jZbx7m39q4TCezhCMIWlbmk02+aVrrTm5Y76JPS9l7F8ObrXr3wTp9z4mVxevDmbzFwx5O0sOxIwSPWtuiiv1ChSdGhGm5N8qSu93ZbvzZ+JVJKc3K1rsK/nV/wCDhPxZ8cNc/wCCj/iPw/8AFaXUV0TSLC0TwFbXUWy3GmvCjPJCBw4a488M/JLR7SfkAH9FVfH37ff7OvwP/aA/aG8NJ8avhlpviRNF8G3E+lJqSuVt5GvI9xAVgGyFXIbI46V81xjRdTJJS5rcrT9dbWf33+R+qeDXGuC4F4w+v4rD+1jKnKGluaLdnzRvpf3eV6r3ZP0fzB/wTy/aD1LXf2MPBEnxo/bd1bRdaTTZbUaZ/wAJ7Y2RtrKKaSK0URY3Ji3SLGfmPBPJrqNJ+G3wJ+Evxu+A/iX9j7Q9Gh8XX/xEtbOG88M+TeXGseH5nlGtS3Uu5mnhWHzZGuGJKSpGAwJCH75/ZcsrIfsy/DoLZxADwJpGAIgAP9Cir49/Yq/Zy+Bfwy+PPw++K3gH4X6XpfiTxJe6m2uazbo5nu99jeyOCWYhQzgMQoUEgccDHz2JyfEYTG4J1MRKfNJWvf3dnpqzPC8W4Wtj8yxypOlGo5yVGFvZyc+e0Z6x9yKk7e7JtXiuW/Mv0Booor9LPyw+Mv8Agvf4u+Ofg3/gm34rv/gZLqMMlzf2tp4qudLi3Sw6NIXW5JI+ZEJ8tHZeiO2cKWI/H7/gi58VPF3w/wD2qLjQrP4z3ngrwzq+hTt4nvrXWbewWUQoxtlaWYEZ85wAq8nce2cf0J/tSwQ3X7MfxGtbiIPHJ4D1dXRhkMDZSgg187fsA/s6fAz9n345avoXwW+GGl+HbXUvBaXF/FYoxNxKLsKrMzszHA4AzgZOByc/CcQYCriuIcNGFVwc00mvs8qb01W5+4cI+I+XZF4W5lw/VwSqVK0rqelnzcqvO+vNTtzQtfW21rvzHXvDH7JHx78QDUviz8VdC+KN5puj3UdtF4w8XWuqJplmwBupIogwSAEBN8+0MAifOu0V73/wSXvvEl1+x1Y2N/LeTeHdN8SatY/Du6vrdY3n8Nw3TppzjGN8fkgBHP3o1Q5IIY43/BQr9nf4IftA/Fn4deHfjR8M9N8RWNhoeu3NnbXwcLFKbjSlLjYyk/KSMHI56V7F+xhaWth+yn4BsLG2jggg8NW8UEEKBUjRVwqqo4UAAAAcACnkOBqYPiPEU51XNxirt9b2eur22Wp8VmOd0a/CFLCLmlKU78srclJR59Kerd5815e7BK1rSvdenUUUV90fCHiXx0+Bv7A3jr9oLwd42/aD8N+Abj4k2rQr4LfxBqEMWozmOYvEsMLSKbjbKSVG18MTjk17SbO0JybWP/vgV/Mh/wAFX/iB+0LqX/BST4ka58YtV1i017QvF88Hhl5t0EllpcM7NpzW+3GxPJMcqsv3mcvncxNfqb+zd+0lP4g+BHgrxT8Yf28dTt/FV54es7nxBaT/ABC0+HZdMgZ1aIL8nPVe3TivhocYYPD4qtCdBq0rXild20vLbX7z9y498Lcx4b4YynHVMxVdVoaQbdqd0p2pau8NdWlHWzt72n6SqqoNqqAB0AFLXlX7Nvi/xH4yF7rMutNqek3UCXFrfifzYpGf5gYnGVZWU5+U4xtx159Vr6rLMfDM8HHERi4p30fk7H4risPLC1nTbvYK/OP/AIOZPF3xx8N/sTaLpnw2m1GDwvq3ilbbx5PYR/KbfZut4pnHKRPMB6BmCKTyAf0crnfi34X+GPjX4Ya/4W+NOnaVd+ErzSZ08Rw62yrafY9hMrSs5ARVUFi5I27d2RjNPMsLLG4CpQjLlcla/wDXTv5H0HBOe0eGOLMHmlWj7aNGak4d+mn95XvH+8kfgV/wQw+L3ijwb488aeDtW/aBvvA/g+fR0vZvs/iC205LjUxNFHF88wJc+T53yrxgAn+GvvLx78Pv2H/jVa+I/G3xo8feHfiHPF4fEGr+IPE/ii21O40rTlYlRE4YLaKJCWDIFLO2CTnFfbP7Kfwx/ZR+Gvwhg0D9j/SPCkXgyW+nuIX8J3kd3aTXJYLK5mR38x8qFJLEgIF4CgD5u/4KC/s1/AX41ftCX3iH4sfCrSdevPD3wzs5tGmv42ItnN1qbkhQwVwWjQ4YMPl6cnP53mvD+Jy7JvaSxLlFW91X5dX018+x+kcQce4LifxFrZnTo1MHGWjcEvbe6kveXNBc0mlf3ny6aSa19y/4Jza58VPEn7D/AMNdZ+NC33/CQzeHE+0PqloILmW3DutrJLGANsj2whdsgHLHIByK9rrnPg8xb4SeFmY5J8OWJJP/AF7pXR1+mYeDpYeEG72SV3u7Ldn45meLjj8yrYmMFBVJykox2jzNvlXkr2XkFfylfHv4qftNt+2Pr3xW+K+tavZ/FTT/ABn9purm8jEdzY6jbzDylVDlUERjjVFHyBUUD5QK/q1rzLVv2NP2W9e/aCtf2qtY+B+g3HxCs0VbfxTLbE3C7YjErEZ2s6xnaHKlgAuCNox4nEGS1s4hSVOpy8rv9/X1XT1eqP1Pwj8S8t8Oa+OnjMH7f29NRW101f3Xf/l3O/v2u/dj7rPjS98f/B/4o/C6Dwb8cf20JtastV0m3TxPoGpfE2zW2u2KI00EwhKExlwysgYBlypyCQek/Yx8K+Dvhf8A8FFL3wd+zX4fsNL8P6n8NHufilpXh2whSwtb2K4iXR5JPLGILiSKS+wg2740DlTnefp/9tfw/omt/sj/ABG0XVtKgntLzwjewXUDxjbJG8RVlOOxUkfjXlH/AAT2+A/wc/Z7+Kfjzwd8E/h3p3hvTLnw/ot1c2unI2JZjc6ou9mdmZjtVQMngDjFfOwyrEYHiTCwqYiVRtSd3e+iemrej6ngYLiDDw4fxseWS504qkreyvOyc5a/FCycEoP3oxbkuWz+rKKKK/Qz8+Pib48+Mdei/wCCjer+H/if4jubLS7P4b2knw0sLyRYbO6EksravNESR506GG0Djkxxc4CnJ8U/Zg/aK0PV7Xx4mo/tu6lpOh2nxN1eHwbbJ410+yjOm7o3LRIVy8X2p7sJIc70CkEjBP6CftDfssfs9ftX+GLPwb+0T8KNK8V6dp179rsbfUkbNvNsKF0dGVlyrEEA4PGQcDHX+HfCXhfwl4fsfCnhjw9Z2GmaZZxWmnWFpbqkVtBGoSONFAwqqoAAHAAr4zE8MYyvmdXEwxLgpdr39HqtF0Puq/EuSzyWFGOGvW5YQldRUIqCtzwesnOpZOd0rPm1lzLl+W/2fvDHg74m61oNx4I8YjXrDTvEf9q3WtWWpx3n2i6SR5pGmmTKlnkclsYOW4xX1rTY444l2xRqo9FGKdXt5LlP9kYeVN1HNyk5NtW3t5vt3Pkcbi/rlRS5bJK1gooor2DjOS+OegJ4n+FuqaLJo636SLE7WzBjnZKjhgF5JUqGHutcj+y94HbSbrxB4/l88Nra2dsqyABClv5xDLxk5M7AnJHyjHQ163QABwBXlVcrjVzenjnN+7Fxt01vrf5/kdUcU44SVC27vcKKKK9U5Qr4P1n4hXNp+2x8bf8AhefjRtPudG/s3/hGLPXLmO1tbbwqtmkn2y33EBo2vXvBNNztaKNWK4UV94V5n+0B+xv+y7+1Rf6Lqf7Q3wS0PxZceHndtHm1W3LNb7ypdcqRuQlFJRsqcdK8TP8AKqub4H2FOfK7p+T8n+fqj6ThrM8ty7EVY46MnTqQ5eaKjKcGpRmnFScU78vK/ejpJu7tyv4G/Y4/aH07W/2eNGuvGn7dWt6c8d3f2+kWl1430+xlTSoryaLT90BQGMm0SA4IB5yeTX1T+y74L8K+KvFPhbxZ4I1VL3RfDkVxPp99p92k9vPvgltsGVch/wDWuflOdyn0Ir6Wj0+wijWKKxhVVUBVWIAADoBUqIka7Y0CgdABivLw3C1eli6VatipTUHdJr8rydvuJzPPMPjcRXqUMPGlGo5NJbRTbaWiV7LToLRRRX1586fNP/BVjxD4x8Pfsx2P9iapqGn+Hb/xzo9l8RtR0xQHtfDss+27Z36xQsfKjlkH3YpHyQu5h8yfGf46aR4b/a/+HHh3wt+0k/ha1vvDGry+LzpHiGztYvsPlxSWMkk0mdpadh5YB+dGYgFQSP0o1jR9J8Q6RdaBr2mQXtjfWz297Z3UQkinidSrxurAhlZSQQeCCRXBfs9fsj/s2fso6DqHhr9nj4PaP4VstVu1udSj0+Ji1zKq7FLvIzMQozhc4G5iACxz8rm/D+JzLMoYmnXcElbrdb/Dqt766r5n22UcQ5Pgsklh8Rh+erH2ijpHkl7SKjzTb95Sp/FCykm+X4OVuXzL4E8dfD3xl4vh/sf9og+O9bitJI7G3uvFttqM9vCzxtKIo4cEBmjh3HB+4nTv9cfBPwSnw4+Enh7wNHJMw0zSooc3BG/gc5wAM8+ldKltbxNujgRT6qoFPrpyfIp5ZialepWdSUkldrt53dz5rGY+OKpxhGCil2/4ZBRRRX0J5x5l8Uf2NP2WvjV8V9C+OXxW+B+g674t8NeV/YmuX9sWmtvKkMsY4IDhJCWUOGAJOMZr0k2doTk2sf8A3wKkoqI0qcJOUYpN76b+vc6q+OxuKpU6VarKUaatFOTait7RTdoq+tlYRVVBtVQAOgApaKKs5Qr84/8Ag5k8XfHLw3+xNoumfDafUYPC+reKFtvHs9hH8pt9m63imccpE8wGezMEUnkA/o5WN8Qvh74J+LHgfVfhr8SPDFprWg63ZPaarpd/FviuYXGGVh+oIwQQCCCAa4sywksdgalCMuVyVr/106PyPp+C8/ocLcVYPNq1FVYUZqTg+q8r6cy+KL6SSZ+A/wDwQ1+N3jjwn4u8X/DvXP2j9U8FeBhpX9oC3i8TW+nwSaq0sMaspnBy5hWTITqEXd0Wv0x8Ean4C+KN9qul+FvjWfHWsahpy2d1cnxJBqV3DbfvFRB5P3EDTSMMr95zyelfVXwL/Zx+Bv7M/gNfhj8CPhlpfhnQlu5Lo6dp0J2vPJjfIzMSzsQqjJJOFUdAAOzjggiOYoUUnqVUCvkIcG4qWGVGri3y9YpNx+V5fp8j6nj/AI/wHFvFuIzbC4RUozsle3M7JLmlZW5nbWzfa7tco+ENCj8LeE9L8MxSO66dp0FqruQWYRxqgJxxnjtWjRRX3aVlY/MG7sKKKKYjmvjHoKeKPhbrvh2bR01CO906SGWzcMRKjDDDC8k7c4A74rg/2YvBUll4h1/4iTidX1KxstPVZAAjLbyXUm5eMk5uWBOcfKBwQa9hory62WRrZrSxrm/cTVujvfW/z/I6oYpwwkqFviadwooor1DlCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooqDVbSXUNMubCG5aF54HjSZOsZZSAw9xnNAHzx+zv/wAFXf2Iv2pf2hNT/Zl+DfxOu77xLYLfNYyXWhXVtYa2tlN5N4dOu5UEN6IJDtk8pm28nkAmvo6vxU/4JW/s3/tM2H7RP7IX7PHjH9m/xx4UvP2SbL4kR/FDxdrfh+W20i/bVbmZbFdOvG+S/FwJVlbyydoB3dK/augAooooAK8N/bZ/4KJ/swf8E/NK8Oat+0l4i1eyTxVqf2HSI9H8PXN+xffFGXkMKMsMYeaFd7lQWkUDJOK9yr8+/wDg4/8AFurS/sGxfBTwf8I/H/i7xB4r8XaNeabbeB/A19rCww6dq1jdXJuHtY3Fv+6DFN+PMKsFzg4AP0DVgyhh0IyKWua+DvxN0X4zfC/Q/in4c0XW9Nsdd09Lq1sfEmizadfwI3RZ7adVkhfjlHAIrpaACiiigCh4q8T6H4J8L6l4z8T34tdM0iwmvdRumRmEMESGSR8KCThVJwATxwK8P/ZA/wCCmX7KX7b3jjxJ8MPgrr3iC28TeFbOC+1Xw74u8JX2jXv2Gc4hvI4byKNpIH4xIBj5l9Rn2rxz4pg8DeCdY8bXWkX+oRaPpVxfSWGlWjT3VysUbSGKGJeZJGC7VQcsxAHWvzl/4IzfFHWP2q/2y/ix+2t+0Z8G/ib4P+LPjPQE03R/DXij4ZanpOleFfCVldgWunpfXUKRXt7LJKLiUqe5CKFRqAP0vooooAKKKKAPnf8AbN/4Ki/smfsE69ZaH+0Xq3imzS4s4ry/1XRvBOoajYaPayz+RHPfXVvC0VojSAqvmMCdpwK+gdN1Kw1nTrfV9Lu0ntbqBJraeM5WSNgGVge4IINfmV/wcX2Fx8c/hdF+zf4H+BX7QevfEiKyt7/4ZS/D3Rbu48J6xfzX0GbbWNhNpKkP2VHKXqhVWUmMnc1fpJ8PYvE8HgDQ4PGtvaxaymj2y6vFZKBCl0Il81YwOAgfcBjtigDYooooAKCQoLMQAByTRXif/BRvwh+0t8Qv2I/iL8P/ANkKKF/iFr2gNp2h+dqiWJVZ5EiuGS4cFYJRbtMUkIO19pwcYoAX9jX/AIKC/sv/ALfMXje7/Zh8a3Gu2vw/8WTeHdfvX06SGFryMZJgdwBNGRyJF4III617XX5lf8G+vws/aS+Cfxb/AGmfAfxW/Yl/4VB4Xk8e6fL4etV8Rm+t42h0y2tRaWsn2aEXsKxRI5vE+VnZk27lJP6a0AFFFFABXzn8Sv8AgqB+zr8M/wBqqb9ji58IfErXfGVm+lDVT4S+G2parYaYuoki1kurq2iaK2RgHJeQgARuScKcfRlfkt/wVQ8AfELSv27X8f8A7CngT9pnS/2ide8X+EIIdb0G1u4/AGraLbBROb+WL/RJIY4JbpHW5PmLJnYNrZIB+tNFFFABRRRQByHx8+PXwl/Zg+Duv/Hz46+NLXw94T8MWBu9Z1a7yUhjyFAAUFnZmZUVVBZmYAAkiuf/AGUv2uPhN+2R8PJ/iR8JLPxLZ2tpfmzvLDxd4UvNGvoJPLSRS1vdxpJsaORHVwCrBgQa+d/+Dgn9nb4xftMf8Ey/E/gn4HaDrGra3pXiPQ9dk0jw6N2oXlpZahDPOtsv8c6xq0iJ/E0YABJAqj/wQ2t/2g4/h18WLn4iT/FhvhvP8Tpm+Cg+OD3TeJRo32aLzTcfbP8ASREbnzfLEvzYDY+XFAH3LRRRQB//2Q==", "info": {"equation": "6+88=94", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "6+88=94", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "b1ada5e3b4a26c24e6c1eb0f8a1a86aa2b701250d4db3ac669a719f1a2b82635"} +{"episode": 30605, "episode_seed": 560107939, "split": "train", "timestamp": "2025-10-28T03:46:22.622702", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 560107939, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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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kilre7jSTY0ciOrgFWDAg187/APBwT+zt8Yv2mP8AgmX4n8E/A7QdY1bW9K8R6HrsmkeHRu1C8tLLUIZ51tl/jnWNWkRP4mjAAJIFUf8Aghtb/tBx/Dr4sXPxEn+LDfDef4nTN8FB8cHum8SjRvs0Xmm4+2f6SIjc+b5Yl+bAbHy4oA+5aKKKAP/Z", "info": {"equation": "12*1=12", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "12*1=12", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "c38433b30d230692da4e2a4af67a6d5ee7a8721e54230e81fc40f2ae20326be1"} +{"episode": 30606, "episode_seed": 4181568590, "split": "train", "timestamp": "2025-10-28T03:46:22.670683", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4181568590, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 4])", "action": "('move', [4, 0, 7, 4])", "reward": 0.0, "image": 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", 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AB9K+Sw2HcOL60+Z6007fNK3ppc/Xs048wOO8IcHw1HCKNSlWcnU0s17zuuvO+bllfSy63tH1ivDv+ClXib4x+Dv2Dfin4n+AL3yeLLLwnPJpcumRb7mFcqJpIh13rCZWBHzAqCOQK9xqHUCwsJyvUQtj8jX1Fem61GVNO101dbq63+R+YZXjI5dmdDFypqoqc4ycZfDLlknyvydrPyZ/N3/wRd+L3jXwD+1JdeHLf456l4K8L61otxL4oubbXobCOdoUY2xeSbKlhLJgY+Y72HQtX62+CE8C/G+51Pwp4a+N0njfUtWs47G/vh4kt9Rura2JkCLmIYjRTJKw3LjLMSSOA/8A4Jofs/8AwV+C/j2zuvhX8NNM0OXxD8No7zW5LONi15P5tod7lyTwXcgDAG44HNfa8cEERzFCik9dqgV+c5Nw7WzLLYVJYmSg2/ctdaS/xW6X2P1PxU4/wPFnF9TMMLhPZrkhHW3M7LeVk9deVa/DGPon0UUV+ln46FeD/tn/ABYm8KaAdK0ezN7eW/li009WUG91Cd1hs7YFmUZeWRFwSPvg54r2jxV4l07wjoU+v6ox8qBR8q/edicBR7kmvnL4VaBqHxu/alXxHrtuz6T4Fi/ta5Zwuy41m6R47ZNpjO4QW5nkJVlw08BwSOPmc/qvFVKWWU371V3l5QWrfztp6M9PL4KlGWKktI7ecj2n9nv4R2vwQ+EekfD5LhLm9hia41rUFgEZvtQmYy3NwwBOC8ru2MnAIGcAV2lFFfR06cKVNQgrJKy+R5spOcnJ7sKKKKsR8m/8FvvE/wAYvCX/AATR+I2q/BSW/i1BrW3g1afTY90sWlyTol42Ryq+SXDMOVQseACR+fn/AAav618Vo/jz8TPDumwXTeB5fCcFxrEgtgYU1RblFtAZOquYXvMKPvBST90V+wP7SEENz+zv49triMPHJ4L1RXRhwwNpKCDXhf8AwTj+Bfwg+AHifxt4R+DHw+0/w7ptzo2h3dza2CtiWdpNSUyMzszMcKo5PAHFfJ5hh5PirCT5nrGWn+FN/jfU/XuH+O8DlfhTmfDs8IpVK9SMlU0sk+X4ut4ct4W6ye1tfqiiiivrD8hP5gv2nPit+05Yf8FPfFHxH8X+I9V034jab8SpFs7y5CRTWJiuPLtQgf5EjWERhCfk2YOSDk/rv4huP2c/jnqOl+E/iT+0Za/EeG31RbnSvC/iPxtZ6jay3iqyxyfZVwJ3UM+1WDAZJ25AI+wr/wDZM/Zu1P8AaAt/2qNQ+DmizfEK1s/stv4qe3JuUi8tovXaW8tmTeRu2nbnAArgf+CiPwl+Gvxh+FHhv4e/E7wbZ6zot942tzd6dchgkuy0u3XJQqwwyqeCOlfnWO4ZxeEwmIrvEu3vS5Vf3lv72q176M/dOLfFDLOMcXlEMPhXhvq1ONOU4W5k3ZNU0nH3Ipe4nKPxSTtu+c/4JORw6b8FfGfhXwbuPw/0b4napafDR44lFt/ZmyCSZLaRc+dbpqD38aPk5CYyQor6lryL9hfwr4c8Dfs16V4M8H6Lb6bpOlaxrNrp2n2ibY7eFNUulRFHoAPr6167X2eTQdPKaCvf3I/irn5LxFjoZlnmIxMFZSk993bTml3lK3NJ9ZNsK8e/Zk+DH7EHw18SeNb79lDw54HttU1DWMeOv+EVvYZ5I7xXlPlXCo7eQys0uIsKAd2FGKn/AG8vEHxc8K/sZfE3xJ8Bxef8JfZeDL6bQW06HzLhJxETuiXu6jcVwCcgYBOBX4Af8Edvi9498C/tgR6fZ/G/U/B+ga/pl2fGOowa7FZLcJHDJJAZJZ8qW+0FMH73zsBwzV5ed57QynGUY1KXNdN30uunu+ffVaH6JwR4fY3ifgbOM1pY72McOo3p3dqnL7/v2e3/AD70d59rXP6Vo7eCI7ooUU+qqBT6+Q/gh8Yx4g1saB8Ov2j7nxveLcxztbv4pt9RkiX7nIgwVjOecjHevrwZxzXblGdUc4U3ThKKjbfrf+vyPy7GYKeDcVJp37BX51f8HMPif4xaB+wfpmnfD2a/i8Par4xt7bxvLZR5U2nlu8KTMOVja4WL2LBFPUA/orXMfGjwr8JvG3wn8QeFvjvYaRc+DrzS5V8SR69KsdmLQLudpXcgRqoG7fkbdoYEEZrrzLCyxuAqUIy5XJNX/rp38j2+Cs8pcNcWYLNKtH20aNSMnDq/T+8t4/3kj8SP+CGfxm1rw78LfG3g3xl+05f+CvDlnrFrPoNhD4ptNOSW5ljk+1OBKCznbHbZP3R25Jr6n1bwZ8DfDHxI+Gvxe/ZzvtN1j4l6n8YrH7H4p0y9h1PVNaFzOia0txOCxliXTnuHk/hgVEKiPPP35+zn8Pv2d/h/8G9G8Mfsw6R4dh8DwpK+iDw1cR3Fm4aV2kdJUZhJmQvltxOc88V8t+APgH8GdE/bwj+PWk/DjTYPGWo/FLVrS98QqjG4kgFlers5bao2xoCVAJC8nk5+CxOQ4nAPCc+Jck6kEkr2jfrHX7tEfoObceYPOeMsyzaFCVCM1J+zSX7yyUeWsrpJT1lU0nq3FLXmX2/RRRX6WfiwVhfFDR18Q/DjXdAk0xL1L7SZ7eW0cHEyPGVZeOTlSRxW7RWdan7WlKF7XTV/UqEuSal2PJv2YPBsmlS6942mE6tq32W2CyLhStv5x3LxnrMwJ6fL2wa9Zoorly3BLLsDDDKV+Vb7X1ua4mu8TXlUatcKKKK7jA84/aY0f+1PCOnXbaWtwNP1YXKS4Ja3cwyxbxj1WV1JPHz1sfAjwc3gP4V6Z4dfzg2+5unWcAOrXFxJcFSABjBlIA6gDnmuvorzaeXKGazxvM25RUbdrO/9fM6ZYlywqoW2d7hXjH/BQ/xD8S/Cv7FHxG8QfCO61O31y28Ps0d3okHm3ltbGRBdTQLg5lS2MzqQCQyggEgCvZ6CAwKsAQRyDXbXputRlTTtdNXW6ut/kaZbi44DMaOKlBTVOcZOL2lytPle+jtZ6M/Mz4ifGnwR4Q+P/wAJPDHw5/aR/wCEY0W78J6q2pz6N4ktLeKTSFgg+xSPPJuwGnWMR4P7weZjcFYj374C/F9vEuuw6D8O/wBoa48cXEV9HNNE/ieDUXhVsLh/IxtjIU/eH94g17j8Cv2S/wBmz9mT+2/+FB/BrRPC3/CR3ou9a/su22/apV3bSck4Vd77UGFXc2AMmvQY4IIjmKFFJ67VAr4vCcJY6jTjF4uSSd+WN7b301X5bn0Wc57lNetGOCoe5GPLzTUVOTblJyko8yuublXvP3YrbZPooor7k+QMrxr4Ts/G3hyfw9ezNEJcMkyjJjcHIOD1+noab4H8IWXgfw5D4fspmlEZLSTMuDI5OScDp6AegHXrWvRXN9Uw31r6zy+/blv5XvY09tU9l7K/u3vbzCiiiukzCiiigDH+IWlLrvgLWtDk05LxL3SriCS0kztmV42VkOOeQSOPWvOv2XvBj6Vf6/4zlinjOoW9lYqki4XbbNctkcZzm4YHnHygcEGvXaK82vlyrZnSxjl/DUlbvzaf18jphiXDCzo2+JrX0CiiivSOYK88/aV0VdX8D2lw+lLc/YNVS5WQgk27CORPMGPZ2U54wxr0Ojr1rkx+E+vYKph+bl5k1fsbYer7CtGpa9nc434A+EG8E/Cyx0ZxMHlury9kWcYZWubqW4K4wMAGXAB5wBnmuyoorTDUFhsNCindRSX3KxFWbq1JTfVt/eFedfBT9kn9mv8AZy1jxDr/AMDvgzonhq88V3guvEE+m2203kgZ2GckhVDSOQi4UbjgCvRaK0lTpykpSSbWz7enY1pYzF0KFSjTqSjCpbmim0pWd1zJaOz1V72eqGR28ER3RQop9VUCn0UVZzhX51f8HMPij4xeH/2ENM074ezX8Xh7VfGFvbeN5bKP5TaeW7wxzMOVja4WL2LBFPUA/orWH8Sfht4D+MPgPVfhh8T/AAtaa3oGt2bWuq6VfR7oriJuqkdRzggjBBAIIIBrizHCyx2BqUIy5XJWv/XTv5H0/BmfUOF+KsHm1al7WFGak46apdr6cy3j/eSPxB/4IdfHPxPo/wAKPGHgbx5+1Pqvg7wzpWp2z+GNNXxba6fF50wma7MazAsRkQkgfKCxI5Zq/TH9mHQ/CPxA8X6H4j8GeN/+EitNH1i51G61u21SK9+03TQTxP50yZUuftBJAweB2r3/AOD/AMD/AISfAH4e2Hwp+DfgDTvD/h3TPM+w6VYQ4jiLu0jn5iSSzsxJJJJNdRHHHEu2KNVHooxXzGD4UxFGpRnVxTkqbUuWztddFd6fdse3x1xphOK+JsbmeGwqpRrvRaXtZRvKy+KVuaWr95vV7jqKKK+0Pz0KKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACuQ+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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", "info": {"equation": "112/14=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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"info": {"equation": "112/14=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "95049ae3a630a4d49dad0f22237d539a7b8c92aba04c52134a5e2cbc908de777"} +{"episode": 30607, "episode_seed": 1336316416, "split": "train", "timestamp": "2025-10-28T03:46:22.729698", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1336316416, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 7, 6])", "action": "('move', [1, 0, 7, 6])", "reward": 0.0, "image": 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", 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", 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J8r8naz8mfzd/8EXfi9418A/tSXXhy3+OepeCvC+taLcS+KLm216GwjnaFGNsXkmypYSyYGPmO9h0LV+tvghPAvxvudT8KeGvjdJ431LVrOOxv74eJLfUbq2tiZAi5iGI0UySsNy4yzEkjgP/AOCaH7P/AMFfgv49s7r4V/DTTNDl8Q/DaO81uSzjYteT+baHe5ck8F3IAwBuOBzX2vHBBEcxQopPXaoFfnOTcO1syy2FSWJkoNv3LXWkv8Vul9j9T8VOP8DxZxfUzDC4T2a5IR1tzOy3lZPXXlWvwxj6J9FFFfpZ+OhXg/7Z/wAWJvCmgHStHsze3lv5YtNPVlBvdQndYbO2BZlGXlkRcEj74OeK9o8VeJdO8I6FPr+qMfKgUfKv3nYnAUe5Jr5y+FWgah8bv2pV8R67bs+k+BYv7WuWcLsuNZukeO2TaYzuEFuZ5CVZcNPAcEjj5nP6rxVSlllN+9Vd5eUFq387aejPTy+CpRlipLSO3nI9p/Z7+Edr8EPhHpHw+S4S5vYYmuNa1BYBGb7UJmMtzcMATgvK7tjJwCBnAFdpRRX0dOnClTUIKySsvkebKTnJye7CiiirEfJv/Bb7xP8AGLwl/wAE0fiNqvwUlv4tQa1t4NWn02PdLFpck6JeNkcqvklwzDlULHgAkfn5/wAGr+tfFaP48/Ezw7psF03geXwnBcaxILYGFNUW5RbQGTqrmF7zCj7wUk/dFfsD+0hBDc/s7+Pba4jDxyeC9UV0YcMDaSgg14X/AME4/gX8IPgB4n8beEfgx8PtP8O6bc6Nod3c2tgrYlnaTUlMjM7MzHCqOTwBxXyeYYeT4qwk+Z6xlp/hTf431P17h/jvA5X4U5nw7PCKVSvUjJVNLJPl+LreHLeFusntbX6oooor6w/IT+YL9pz4rftOWH/BT3xR8R/F/iPVdN+I2m/EqRbO8uQkU1iYrjy7UIH+RI1hEYQn5NmDkg5P67+Ibj9nP456jpfhP4k/tGWvxHht9UW50rwv4j8bWeo2st4qsscn2VcCd1DPtVgwGSduQCPsK/8A2TP2btT/AGgLf9qjUPg5os3xCtbP7Lb+KntyblIvLaL12lvLZk3kbtp25wAK4H/goj8Jfhr8YfhR4b+HvxO8G2es6LfeNrc3enXIYJLstLt1yUKsMMqngjpX51juGcXhMJiK7xLt70uVX95b+9qte+jP3Ti3xQyzjHF5RDD4V4b6tTjTlOFuZN2TVNJx9yKXuJyj8Uk7bvnP+CTkcOm/BXxn4V8G7j8P9G+J2qWnw0eOJRbf2ZsgkmS2kXPnW6ag9/Gj5OQmMkKK+pa8i/YX8K+HPA37NeleDPB+i2+m6TpWsaza6dp9om2O3hTVLpURR6AD6+teu19nk0HTymgr39yP4q5+S8RY6GZZ5iMTBWUpPfd205pd5StzSfWTbCvHv2ZPgx+xB8NfEnjW+/ZQ8OeB7bVNQ1jHjr/hFb2GeSO8V5T5VwqO3kMrNLiLCgHdhRip/wBvLxB8XPCv7GXxN8SfAcXn/CX2Xgy+m0FtOh8y4ScRE7ol7uo3FcAnIGATgV+AH/BHb4vePfAv7YEen2fxv1PwfoGv6ZdnxjqMGuxWS3CRwySQGSWfKlvtBTB+987AcM1eXnee0MpxlGNSlzXTd9Lrp7vn31Wh+icEeH2N4n4GzjNaWO9jHDqN6d3apy+/79nt/wA+9Hefa1z+laO3giO6KFFPqqgU+vkP4IfGMeINbGgfDr9o+58b3i3Mc7W7+KbfUZIl+5yIMFYznnIx3r68Gcc125RnVHOFN04Sio2363/r8j8uxmCng3FSad+wV+dX/BzD4n+MWgfsH6Zp3w9lv4vD2q+MLe28by2UeVNp5bvCkzDlY2uFi9iwRSeQD+iteRft1+EvDfjz9l3xD4K8Y6PFqGlareaVa6jYz52TwvqdqrocEHBBI4INb5zSdbKq8E7e6/wV/wAdj3OCM8o8N8XYLM61JVY0qkZOL6q/S+nMt4/3kj8fv+CGfxm1rw98LfG3g3xl+05f+CvDtnrFrPoNhD4ptNOSW5ljk+1OBKCznbHbZP3R25Jr6n1bwZ8DfDHxI+Gvxe/ZzvtN1j4l6n8YrH7H4p0y9h1PVNaFzOia0txOCxliXTnuHk/hgVEKiPPP1r/wT0+FPw3+EPw28V/D34ZeC7DRdE0/xq32PTrOLCR79N092OWJJJZmJJJOTXkXgD4B/BnRP28I/j1pPw402DxlqPxS1a0vfEKoxuJIBZXq7OW2qNsaAlQCQvJ5Ofz2GVV6eGwNeVeTU5wSjraN9dNXt6I/Q8546wOb8aZnmtOjKjCak1CNrVLRUVGrqlyz1lUtz3baS15l9v0UUV+qH4mFYXxQ0dfEPw413QJNMS9S+0me3ltHBxMjxlWXjk5UkcVu0VnWp+1pShe101f1KhLkmpdjyb9mDwbJpUuveNphOrat9ltgsi4Urb+cdy8Z6zMCeny9sGvWaKK5ctwSy7AwwylflW+19bmuJrvE15VGrXCiiiu4wPOP2mNH/tTwjp122lrcDT9WFykuCWt3MMsW8Y9VldSTx89bHwI8HN4D+FemeHX84Nvubp1nADq1xcSXBUgAYwZSAOoA55rr6K82nlyhms8bzNuUVG3azv8A18zpliXLCqhbZ3uFeMf8FD/EPxL8K/sUfEbxB8I7rU7fXLbw+zR3eiQebeW1sZEF1NAuDmVLYzOpAJDKCASAK9noIDAqwBBHINdtem61GVNO101dbq63+RpluLjgMxo4qUFNU5xk4vaXK0+V76O1noz8zPiJ8afBHhD4/wDwk8MfDn9pH/hGNFu/Ceqtqc+jeJLS3ik0hYIPsUjzybsBp1jEeD+8HmY3BWI9++AvxfbxLrsOg/Dv9oa48cXEV9HNNE/ieDUXhVsLh/IxtjIU/eH94g17j8Cv2S/2bP2ZP7b/AOFB/BrRPC3/AAkd6LvWv7Lttv2qVd20nJOFXe+1BhV3NgDJr0GOCCI5ihRSeu1QK+LwnCWOo04xeLkknflje299NV+W59FnOe5TXrRjgqHuRjy801FTk25ScpKPMrrm5V7z92K22T6KKK+5PkDK8a+E7Pxt4cn8PXszRCXDJMoyY3ByDg9fp6Gm+B/CFl4H8OQ+H7KZpRGS0kzLgyOTknA6egHoB161r0VzfVMN9a+s8vv25b+V72NPbVPZeyv7t728wooorpMwooooAx/iFpS674C1rQ5NOS8S90q4gktJM7ZleNlZDjnkEjj1rzr9l7wY+lX+v+M5Yp4zqFvZWKpIuF22zXLZHGc5uGB5x8oHBBr12ivNr5cq2Z0sY5fw1JW782n9fI6YYlwws6Nvia19Aooor0jmCvPP2ldFXV/A9pcPpS3P2DVUuVkIJNuwjkTzBj2dlOeMMa9Do69a5MfhPr2CqYfm5eZNX7G2Hq+wrRqWvZ3ON+APhBvBPwssdGcTB5bq8vZFnGGVrm6luCuMDABlwAecAZ5rsqKK0w1BYbDQop3UUl9ysRVm6tSU31bf3hXnXwU/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": "112/14=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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J8r8naz8mfzd/8EXfi9418A/tSXXhy3+OepeCvC+taLcS+KLm216GwjnaFGNsXkmypYSyYGPmO9h0LV+tvghPAvxvudT8KeGvjdJ431LVrOOxv74eJLfUbq2tiZAi5iGI0UySsNy4yzEkjgP/AOCaH7P/AMFfgv49s7r4V/DTTNDl8Q/DaO81uSzjYteT+baHe5ck8F3IAwBuOBzX2vHBBEcxQopPXaoFfnOTcO1syy2FSWJkoNv3LXWkv8Vul9j9T8VOP8DxZxfUzDC4T2a5IR1tzOy3lZPXXlWvwxj6J9FFFfpZ+OhXg/7Z/wAWJvCmgHStHsze3lv5YtNPVlBvdQndYbO2BZlGXlkRcEj74OeK9o8VeJdO8I6FPr+qMfKgUfKv3nYnAUe5Jr5y+FWgah8bv2pV8R67bs+k+BYv7WuWcLsuNZukeO2TaYzuEFuZ5CVZcNPAcEjj5nP6rxVSlllN+9Vd5eUFq387aejPTy+CpRlipLSO3nI9p/Z7+Edr8EPhHpHw+S4S5vYYmuNa1BYBGb7UJmMtzcMATgvK7tjJwCBnAFdpRRX0dOnClTUIKySsvkebKTnJye7CiiirEfJv/Bb7xP8AGLwl/wAE0fiNqvwUlv4tQa1t4NWn02PdLFpck6JeNkcqvklwzDlULHgAkfn5/wAGr+tfFaP48/Ezw7psF03geXwnBcaxILYGFNUW5RbQGTqrmF7zCj7wUk/dFfsD+0hBDc/s7+Pba4jDxyeC9UV0YcMDaSgg14X/AME4/gX8IPgB4n8beEfgx8PtP8O6bc6Nod3c2tgrYlnaTUlMjM7MzHCqOTwBxXyeYYeT4qwk+Z6xlp/hTf431P17h/jvA5X4U5nw7PCKVSvUjJVNLJPl+LreHLeFusntbX6oooor6w/IT+YL9pz4rftOWH/BT3xR8R/F/iPVdN+I2m/EqRbO8uQkU1iYrjy7UIH+RI1hEYQn5NmDkg5P67+Ibj9nP456jpfhP4k/tGWvxHht9UW50rwv4j8bWeo2st4qsscn2VcCd1DPtVgwGSduQCPsK/8A2TP2btT/AGgLf9qjUPg5os3xCtbP7Lb+KntyblIvLaL12lvLZk3kbtp25wAK4H/goj8Jfhr8YfhR4b+HvxO8G2es6LfeNrc3enXIYJLstLt1yUKsMMqngjpX51juGcXhMJiK7xLt70uVX95b+9qte+jP3Ti3xQyzjHF5RDD4V4b6tTjTlOFuZN2TVNJx9yKXuJyj8Uk7bvnP+CTkcOm/BXxn4V8G7j8P9G+J2qWnw0eOJRbf2ZsgkmS2kXPnW6ag9/Gj5OQmMkKK+pa8i/YX8K+HPA37NeleDPB+i2+m6TpWsaza6dp9om2O3hTVLpURR6AD6+teu19nk0HTymgr39yP4q5+S8RY6GZZ5iMTBWUpPfd205pd5StzSfWTbCvHv2ZPgx+xB8NfEnjW+/ZQ8OeB7bVNQ1jHjr/hFb2GeSO8V5T5VwqO3kMrNLiLCgHdhRip/wBvLxB8XPCv7GXxN8SfAcXn/CX2Xgy+m0FtOh8y4ScRE7ol7uo3FcAnIGATgV+AH/BHb4vePfAv7YEen2fxv1PwfoGv6ZdnxjqMGuxWS3CRwySQGSWfKlvtBTB+987AcM1eXnee0MpxlGNSlzXTd9Lrp7vn31Wh+icEeH2N4n4GzjNaWO9jHDqN6d3apy+/79nt/wA+9Hefa1z+laO3giO6KFFPqqgU+vkP4IfGMeINbGgfDr9o+58b3i3Mc7W7+KbfUZIl+5yIMFYznnIx3r68Gcc125RnVHOFN04Sio2363/r8j8uxmCng3FSad+wV+dX/BzD4n+MWgfsH6Zp3w9lv4vD2q+MLe28by2UeVNp5bvCkzDlY2uFi9iwRSeQD+iteRft1+EvDfjz9l3xD4K8Y6PFqGlareaVa6jYz52TwvqdqrocEHBBI4INb5zSdbKq8E7e6/wV/wAdj3OCM8o8N8XYLM61JVY0qkZOL6q/S+nMt4/3kj8fv+CGfxm1rw98LfG3g3xl+05f+CvDtnrFrPoNhD4ptNOSW5ljk+1OBKCznbHbZP3R25Jr6n1bwZ8DfDHxI+Gvxe/ZzvtN1j4l6n8YrH7H4p0y9h1PVNaFzOia0txOCxliXTnuHk/hgVEKiPPP1r/wT0+FPw3+EPw28V/D34ZeC7DRdE0/xq32PTrOLCR79N092OWJJJZmJJJOTXkXgD4B/BnRP28I/j1pPw402DxlqPxS1a0vfEKoxuJIBZXq7OW2qNsaAlQCQvJ5Ofz2GVV6eGwNeVeTU5wSjraN9dNXt6I/Q8546wOb8aZnmtOjKjCak1CNrVLRUVGrqlyz1lUtz3baS15l9v0UUV+qH4mFYXxQ0dfEPw413QJNMS9S+0me3ltHBxMjxlWXjk5UkcVu0VnWp+1pShe101f1KhLkmpdjyb9mDwbJpUuveNphOrat9ltgsi4Urb+cdy8Z6zMCeny9sGvWaKK5ctwSy7AwwylflW+19bmuJrvE15VGrXCiiiu4wPOP2mNH/tTwjp122lrcDT9WFykuCWt3MMsW8Y9VldSTx89bHwI8HN4D+FemeHX84Nvubp1nADq1xcSXBUgAYwZSAOoA55rr6K82nlyhms8bzNuUVG3azv8A18zpliXLCqhbZ3uFeMf8FD/EPxL8K/sUfEbxB8I7rU7fXLbw+zR3eiQebeW1sZEF1NAuDmVLYzOpAJDKCASAK9noIDAqwBBHINdtem61GVNO101dbq63+RpluLjgMxo4qUFNU5xk4vaXK0+V76O1noz8zPiJ8afBHhD4/wDwk8MfDn9pH/hGNFu/Ceqtqc+jeJLS3ik0hYIPsUjzybsBp1jEeD+8HmY3BWI9++AvxfbxLrsOg/Dv9oa48cXEV9HNNE/ieDUXhVsLh/IxtjIU/eH94g17j8Cv2S/2bP2ZP7b/AOFB/BrRPC3/AAkd6LvWv7Lttv2qVd20nJOFXe+1BhV3NgDJr0GOCCI5ihRSeu1QK+LwnCWOo04xeLkknflje299NV+W59FnOe5TXrRjgqHuRjy801FTk25ScpKPMrrm5V7z92K22T6KKK+5PkDK8a+E7Pxt4cn8PXszRCXDJMoyY3ByDg9fp6Gm+B/CFl4H8OQ+H7KZpRGS0kzLgyOTknA6egHoB161r0VzfVMN9a+s8vv25b+V72NPbVPZeyv7t728wooorpMwooooAx/iFpS674C1rQ5NOS8S90q4gktJM7ZleNlZDjnkEjj1rzr9l7wY+lX+v+M5Yp4zqFvZWKpIuF22zXLZHGc5uGB5x8oHBBr12ivNr5cq2Z0sY5fw1JW782n9fI6YYlwws6Nvia19Aooor0jmCvPP2ldFXV/A9pcPpS3P2DVUuVkIJNuwjkTzBj2dlOeMMa9Do69a5MfhPr2CqYfm5eZNX7G2Hq+wrRqWvZ3ON+APhBvBPwssdGcTB5bq8vZFnGGVrm6luCuMDABlwAecAZ5rsqKK0w1BYbDQop3UUl9ysRVm6tSU31bf3hXnXwU/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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"info": {"equation": "112/14=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "036a7f7364849aca85e4f01abd19a8e7eb84b0b723e36f9afe81ddb4d6f0e882"} +{"episode": 30608, "episode_seed": 1916869618, "split": "train", "timestamp": "2025-10-28T03:46:22.790643", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1916869618, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 5, 5])", "action": "('move', [2, 0, 5, 5])", "reward": 0.0, "image": 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XTStbubLw1o6+M7KwWLTUSIptidd+POafDNycccAV94f8FHfgb8I/2gPE3w68F/GfwFZeItKhbV7qKyvmcIsyx26q4KMpyA7DrjmvR/2G/Dnh/wAP/sxeH9A0PRbW0sbC81S2srS3gVY4IU1K6VI1AGAqqAAPQV+d1cpxGL4mxEKeIlB2Urq97O2m60XQ/dM38S8sx3hPl/DywKVSjLWWnL7vN70dL807+/frfe+nwV8Z/h98A/BvhDRvjJ+zEmj6r8V2+INpc+CfFOlXUGqavreuTXkK3Mck5ZmuQ8TyCZSdscbM2Ixk1+qdfn/4b/Zw+BOj/tYp+0Fpnwu0uLxrefHC9huPEYRjcMh1S4jIGWKqSiKmVUHGRnk5/QCvS4PoSo08SnJu1Rx+7r6u+voj4Hi7N6eY4bB0YynNwi5Oc/i9/l/dr3pfu4crcbtXc5vljewUUUkkiRI0srhVUEszHAA9TX2Wx8ScF+0Ra6JJ4KS61Btt1HdKLFkUFix+8vsuBkn2FfN/7MXirwT8Tv203t/EcDND4U0e+h8CyTxQm2vdWjeOPVJon80sZreKWKBRsGFlvOTg46r9qH4n+LPHN3aeHfhTE76vrV7HovhPzUwsN1OGL3knyPiOGNJJ2BBysGMZbFZXxg/ZnHwS8PeGNA+C9z9kuvCUlvf+DdRv3UsLyFSkwncRNxcJJMkrKhJW4cgZr80xeLhVzl5tCClRpyjBvv0cvO11b5H01Gi4YL6pKVpyTaXby/rzPrmis3wh4ji8XeF7DxLFaNb/AG21SV7Z5FdoWI+aMlSQSpypIOMitKv0mE4VIKcXdPVPyZ81KLjJp7oKKKKoR5N+3d4g+MnhT9jf4k+JP2fIrxvGll4RvJfD39nW4luFnCH5okOdzhdxUYJyBgE4Ffz4f8Ed/FXxts/+Cmvww1X4VPf3uqal4pSHxJIkP2h5dKlf/iYySl8/KIDI5cnIKgg5xn+mivz/AP2K/wBnT4GfDP48/D74reAvhhpml+JPEl7qba5rNujme7L2N7I+SzEKGfDEKACQOOBj4ziTDSqZtgp87V5W9NU7rz6H7Z4b+ImX8KcHZxldfBqrPEQ92WltYuPLO+rjG/NFLq2tL3X6AUUUV9mfiZ8Zf8F7vF/xz8Gf8E3PFeofAybUYZLm/tbTxTdaXFulh0aQutySR8yIT5aOy9Eds4UsR+Qn/BFv4yePfh9+0zc+DbP466l4K8IaxpE9x4oltddhsIZXhjf7MWebK7hLIANvzEMR0zj+g39qWCG6/Zj+I1rcRB45PAerq6MMhgbKUEGvnb9gH9nT4Gfs+/HLV9C+C3ww0vw7a6l4LS4v4rFGJuJRdhVZmdmY4HAGcDJwOTn4TiDAVcVxDhowquDmmk19nlTemq3P3DhHxHy3I/C3MuH6uCVSpWldT0s+blV5315qduam1fW21rvD8CeOvh74y8Xw/wBj/tEHx3rcVpJHY2914tttRnt4WeNpRFHDggM0cO44P3E6d/rj4J+CU+HHwk8PeBo5JmGmaVFDm4I38DnOABnn0rpUtreJt0cCKfVVAp9e1k+RTyzE1K9Ss6kpJK7Xbzu7n5BjMfHFU4wjBRS7f8Mgooor6E848S+OnwN/YG8dftBeDvG37QfhvwDcfEm1aFfBb+INQhi1GcxzF4lhhaRTcbZSSo2vhiccmvaTZ2hOTax/98Cv5kP+Cr/xA/aF1L/gpJ8SNc+MWq6xaa9oXi+eDwy826CSy0uGdm05rfbjYnkmOVWX7zOXzuYmv1N/Zu/aSn8QfAjwV4p+MP7eOp2/iq88PWdz4gtJ/iFp8Oy6ZAzq0QX5Oeq9unFfDQ4wweHxVaE6DVpWvFK7tpeW2v3n7lx74W5jw3wxlOOqZiq6rQ0g27U7pTtS1d4a6tKOtnb3tP0lVVQbVUADoAKWvKv2bfF/iPxkL3WZdabU9JuoEuLW/E/mxSM/zAxOMqyspz8pxjbjrz6rX1WWY+GZ4OOIjFxTvo/J2PxXFYeWFrOm3ewV+cf/AAcyeLvjl4b/AGJtF0z4bT6jB4X1bxQtt49nsI/lNvs3W8UzjlInmAz2Zgik8gH9HK534t+F/hj41+GGv+FvjTp2lXfhK80mdPEcOtsq2n2PYTK0rOQEVVBYuSNu3dkYzTzLCyxuAqUIy5XJWv8A107+R9BwTntHhjizB5pVo+2jRmpOHfpp/eV7x/vJH4If8ENfjd448J+LvF/w71z9o/VPBXgYaV/aAt4vE1vp8EmqtLDGrKZwcuYVkyE6hF3dFr7s8e/D79h/41WviPxt8aPH3h34hzxeHxBq/iDxP4ottTuNK05WJUROGC2iiQlgyBSztgk5xX2z+yn8Mf2Ufhr8IYNA/Y/0jwpF4Mlvp7iF/Cd5Hd2k1yWCyuZkd/MfKhSSxICBeAoA+bv+Cgv7NfwF+NX7Ql94h+LHwq0nXrzw98M7ObRpr+NiLZzdam5IUMFcFo0OGDD5enJz+d5rkGKy7JvazxLlFW91X5dX018+x+kcQce4LibxFrZnTo1MHGWjcEvbe6kveXNBc0mlf3ny6aSa19y/4Jza58VPEn7D/wANdZ+NC33/AAkM3hxPtD6paCC5ltw7raySxgDbI9sIXbIByxyAciva65z4PMW+EnhZmOSfDliST/17pXR1+mYeDpYeEG72SV3u7Ldn45meLjj8yrYmMFBVJykox2jzNvlXkr2XkFfylfHv4p/tNn9sfXvit8WNa1ey+Kmn+M/tN1dXkYjubHUbeYeUqocqgiMcaoo+QKigfKBX9WtfAXx9/Zx+Bev/ALWnjH4/658LtLuvGenfErw7DYeIZ42aeBFh0VV2gtsyFdgG25GeDnFfJ8ZYeVXD0JKTXvpf+BdfVW09Wfrng14hZfwFisweKwir+2pWW104t+67/wDLufN79rv3Y6MxL3x/8H/ij8LoPB3xw/bQm1qy1XSbdPE+gal8TbNba7YojTQTCEoTGXDKyBgGXKnIJB6n9jTQ/Dnwy/4KDXPw7/Zu0u203wte/Dqa++Jug+HrWJdMstQWe3TSp3WP5be6lhN2Co2mSKFHIbAavpr9tfw/omt/sj/EbRdW0qCe0vPCN7BdQPGNskbxFWU47FSR+NeUf8E9vgP8HP2e/in488HfBP4d6d4b0y58P6LdXNrpyNiWY3OqLvZnZmY7VUDJ4A4xXnU8qxGB4kwsKmIlUbUnd3vZJ6bvR9T5fBcQYeHD+NjyyXOnFUlb2V52TnLX4oWTglB+9GLcly2f1ZRRRX6Gfnx8TfHnxjr0X/BRvV/D/wAT/EdzZaXZ/De0k+GlheSLDZ3QkllbV5oiSPOnQw2gccmOLnAU5Pin7MH7RWh6va+PE1H9t3UtJ0O0+Jurw+DbZPGun2UZ03dG5aJCuXi+1PdhJDnegUgkYJ/QT9ob9lj9nr9q/wAMWfg39on4UaV4r07Tr37XY2+pI2bebYULo6MrLlWIIBweMg4GOv8ADvhLwv4S8P2PhTwx4es7DTNMs4rTTrC0t1SK2gjUJHGigYVVUAADgAV8ZieGMZXzOriYYlwUu17+j1Wi6H3VfiXJZ5LCjHDXrcsISuoqEVBW54PWTnUsnO6Vnzay5ly/Lf7P3hjwd8Tda0G48EeMRr1hp3iP+1brWrLU47z7RdJI80jTTJlSzyOS2MHLcYr61pscccS7Yo1UeijFOr28lyn+yMPKm6jm5Scm2rb28327nyONxf1yopctklawUy4ghuoHtrhA0ciFXU9wRgin0V67Saszj2OP+Hvwe0n4f6xc6xb6lLcvKhjgEkYXyoyQccdTx1447Ve+JHw6sfiLpUVjcXrW01vKXguFj3YyMEEZGQeO45A/HoqK4I5Vl8ME8JGmvZvda+u97/jodDxWIddVnL3l1M/wt4dsvCegW3h7TmZorZNod8bmJJJJx3JJNaFFFdtOnCjTVOCskrJdkjGUpTk5S3YUUUVZIjlwhMYBbHyg+tfPPwV+FCR/FjSLmPSJtOh8JS3U0drChEUbSQSwCM7gTjEzMOcnAPIzX0PRgeleVj8rjjsVQrObXsne3fb7tjqw+KdClUglfmVvQKKKK9U5T5p/4KseIfGPh79mOx/sTVNQ0/w7f+OdHsviNqOmKA9r4dln23bO/WKFj5Ucsg+7FI+SF3MPmT4z/HTSPDf7X/w48O+Fv2kn8LWt94Y1eXxedI8Q2drF9h8uKSxkkmkztLTsPLAPzozEAqCR+lGsaPpPiHSLrQNe0yC9sb62e3vbO6iEkU8TqVeN1YEMrKSCDwQSK4L9nr9kf9mz9lHQdQ8Nfs8fB7R/Ctlqt2tzqUenxMWuZVXYpd5GZiFGcLnA3MQAWOflc34fxOZZlDE067gkrdbrf4dVvfXVfM+2yjiHJ8FkksPiMPz1Y+0UdI8kvaRUeabfvKVP4oWUk3y/Byty+ePhd8btL1PVZfD3gr9qq78X39yEljsG8YW1/OgjJ+aNIcMBlhu4IPy5r6/8NS6nP4esZtaj2Xb2kZuV9H2jP61bS2t4m3RwIp9VUCn125Rk9fLas51cRKrzJLW+lvVs+YxmMp4mMYxpqNu3/DIKKKK904DzL4o/safstfGr4r6F8cvit8D9B13xb4a8r+xNcv7YtNbeVIZYxwQHCSEsocMAScYzXpJs7QnJtY/++BUlFRGlThJyjFJvfTf17nVXx2NxVKnSrVZSjTVopybUVvaKbtFX1srCKqoNqqAB0AFLRRVnKFfnH/wcyeLvjl4b/Ym0XTPhtPqMHhfVvFC23j2ewj+U2+zdbxTOOUieYDPZmCKTyAf0crG+IXw98E/FjwPqvw1+JHhi01rQdbsntNV0u/i3xXMLjDKw/UEYIIBBBANcWZYSWOwNShGXK5K1/wCunR+R9PwXn9DhbirB5tWoqrCjNScH1XlfTmXxRfSSTPwH/wCCGvxu8ceE/F3i/wCHeuftH6p4K8DDSv7QFvF4mt9Pgk1VpYY1ZTODlzCsmQnUIu7otfpj4I1PwF8Ub7VdL8LfGs+OtY1DTls7q5PiSDUruG2/eKiDyfuIGmkYZX7znk9K+qvgX+zj8Df2Z/Aa/DH4EfDLS/DOhLdyXR07ToTteeTG+RmYlnYhVGSScKo6AAdnHBBEcxQopPUqoFfIQ4NxUsMqNXFvl6xSbj8ry/T5H1PH/H+A4t4txGbYXCKlGdkr25nZJc0rK3M7a2b7XdrlHwhoUfhbwnpfhmKR3XTtOgtVdyCzCONUBOOM8dq0aKK+7SsrH5g3dhX5PXvxo1LRP+Cevjn4h/FP4q32l/FAXWqTeJbi+mhj1Kx8XJcu1varA2QhSSC3SGILj7PEjKCo3H9Ya8y1b9jP9lrXf2grb9qrWPgfoNx8QrNEW38UyWxNwpWIxKxGdrOsZ2hypYAKARtGPn+IMmr5xCkqdTk5Xf8A4Pqraer1R9dwtneUZVGrDH0XNOUJrlUW26fP+7fNa0KnP7zV2uWL5JbHyFovxj+HniPwRp9h8Tf23JtSa70q3Gv6PqPxGsGt7iRolM0MiJjKFtwKgjjjNfVH7L/g022u698SXabOq2FlYx7gPLdIJLmTevGTk3JBOSPlHoa9e+xWf/PpF/37FSAAcAVz4DhuthMwhiq2JlUcU7JrurbuTPHxeaQxFKdOFJQUnfTbe+1gooor6k8gKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiioNVtJdQ0y5sIbloXngeNJk6xllIDD3Gc0AfPH7O//BV39iL9qX9oTU/2Zfg38Tru+8S2C3zWMl1oV1bWGtrZTeTeHTruVBDeiCQ7ZPKZtvJ5AJr6Or8VP+CVv7N/7TNh+0T+yF+zx4x/Zv8AHHhS8/ZJsviRH8UPF2t+H5bbSL9tVuZlsV068b5L8XAlWVvLJ2gHd0r9q6ACiiigArw39tn/AIKJ/swf8E/NK8Oat+0l4i1eyTxVqf2HSI9H8PXN+xffFGXkMKMsMYeaFd7lQWkUDJOK9yr8+/8Ag4/8W6tL+wbF8FPB/wAI/H/i7xB4r8XaNeabbeB/A19rCww6dq1jdXJuHtY3Fv8AugxTfjzCrBc4OAD9A1YMoYdCMilrmvg78TdF+M3wv0P4p+HNF1vTbHXdPS6tbHxJos2nX8CN0We2nVZIX45RwCK6WgAooooAoeKvE+h+CfC+peM/E9+LXTNIsJr3UbpkZhDBEhkkfCgk4VScAE8cCvD/ANkD/gpl+yl+29448SfDD4K694gtvE3hWzgvtV8O+LvCV9o179hnOIbyOG8ijaSB+MSAY+ZfUZ9q8c+KYPA3gnWPG11pF/qEWj6VcX0lhpVo091crFG0hihiXmSRgu1UHLMQB1r85f8AgjN8UdY/ar/bL+LH7a37Rnwb+Jvg/wCLPjPQE03R/DXij4ZanpOleFfCVldgWunpfXUKRXt7LJKLiUqe5CKFRqAP0vooooAKKKKAPnf9s3/gqL+yZ+wTr1lof7RereKbNLizivL/AFXRvBOoajYaPayz+RHPfXVvC0VojSAqvmMCdpwK+gdN1Kw1nTrfV9Lu0ntbqBJraeM5WSNgGVge4IINfmV/wcX2Fx8c/hdF+zf4H+BX7QevfEiKyt7/AOGUvw90W7uPCesX819Bm21jYTaSpD9lRyl6oVVlJjJ3NX6SfD2LxPB4A0ODxrb2sWspo9surxWSgQpdCJfNWMDgIH3AY7YoA2KKKKACgkKCzEAAck0V4n/wUb8IftLfEL9iP4i/D/8AZCihf4ha9oDadofnaoliVWeRIrhkuHBWCUW7TFJCDtfacHGKAF/Y1/4KC/sv/t8xeN7v9mHxrca7a/D/AMWTeHdfvX06SGFryMZJgdwBNGRyJF4III617XX5lf8ABvr8LP2kvgn8W/2mfAfxW/Yl/wCFQeF5PHuny+HrVfEZvreNodMtrUWlrJ9mhF7CsUSObxPlZ2ZNu5ST+mtABRRRQAV85/Er/gqB+zr8M/2qpv2OLnwh8Std8ZWb6UNVPhL4balqthpi6iSLWS6uraJorZGAcl5CABG5Jwpx9GV+S3/BVDwB8QtK/btfx/8AsKeBP2mdL/aJ17xf4Qgh1vQbW7j8AatotsFE5v5Yv9Ekhjglukdbk+Ysmdg2tkgH600UUUAFFFFAHIfHz49fCX9mD4O6/wDHz46+NLXw94T8MWBu9Z1a7yUhjyFAAUFnZmZUVVBZmYAAkiuf/ZS/a4+E37ZHw8n+JHwks/Etna2l+bO8sPF3hS80a+gk8tJFLW93Gkmxo5EdXAKsGBBr53/4OCf2dvjF+0x/wTL8T+CfgdoOsatreleI9D12TSPDo3aheWllqEM862y/xzrGrSIn8TRgAEkCqP8AwQ2t/wBoOP4dfFi5+Ik/xYb4bz/E6ZvgoPjg903iUaN9mi803H2z/SREbnzfLEvzYDY+XFAH3LRRRQB//9k=", 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", 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", "info": {"equation": "8*12=96", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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"info": {"equation": "8*12=96", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "796c7588720a5d4340a5f1c7826d0ee3fd98c39d8c79df7b23a43ab8d0bb0754"} +{"episode": 30609, "episode_seed": 3247338939, "split": "train", "timestamp": "2025-10-28T03:46:22.869190", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3247338939, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [7, 6, 2, 8])", "action": "('move', [7, 6, 2, 8])", "reward": 0.0, "image": 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", 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n1URR/wCjy6nGsQthIw/iET3BVT1y5GccU/8Agnl8UfDfjz9gDwt4G/aH/azu7S1m0u50q58J3fjy0sYG0lJXhhtniBWRYmgUIQWDMh681+gH/BQ34SfDb43/AA08K/Dz4s+D7XXdEuvG8Ulxp14XCOyaffMhyjKeGAPBpnh/wt4bi/4JtXnhiHQrVNOT4XahaJZJCFjWAWkyCMAdFCfLgdq+PzHK6+Mz6vyV5Q9xS06rbl3Wml/mfo0+PsDPwzy7II4VKrQrym6qtfVyacevN79nqvgjZ/y8H/wTo0jQfBPx6+K3w6+D+nW9j4Ds9O0O7k0vSbeNNOsdelF0LpIdnypI1rHp7yRjABZGIBfJ+va+dP8Agnf8IPhh8DPDvjL4e/CHwTZeH9Fh1+3nj0+wVtnmyWUJdyWJZmOBySeAB0AFfRdfQ8NRcMjoJu+l/vb0+R+f8V46lmGe1a1O7VoxvL4pcsIx5pWbtKVrtXla9uaW7K8P/bP+Jd/4X8LpoXh21F1qTmMWFllf9Jvp5Bb2cHzMo+aaRQQSOCDmvaNV1Oz0XTZ9W1CXZBbRNJK3ooGT9TXzr4KsLz45ftX2+uajaudK8IwHXLgSbdrXs4ktrCLBQ7vLiW6kJDKVcQnnPGWf1HiFTy6D96q9fKC1k/wt955+XxVNyxMtoLT1ex7V8Ffhjpvwa+Feh/DTTJhMNKsVS5u/KCG7uWJee4YAnDyytJI3J+ZzXUUUV9BCEacFGKsloec25O7CiiiqEfzt/t2+Ov2pX/4Lpahq1smqyeMtI+KGn2vgS1NoGYWSTR/YEijPytG8TK3o3mOzcs1f0SV8dfHz4J/CXxF+3hp3xt13wDYXfizQ9Y8K2mj67MrGa0he8G5U52jPmPzjPzHBr7Fr5jh6g6OKxl5N/vOvpf79fwP1PxH41wfFuW5PQoYZUXhcOqcmre89Fpb7C5bxT1TlL1ZX84v7cfxd/aV8M/8ABarxT401PxlrGheKNJ+JIsPD+oeattJZ6QZBDa+WW+RIms5FO4/Kyyszfeav6Oq8q1/4S/se6h+1fo/xP8SaD4Of4x22gPHos9zeRDVzp/71GeOAvudAGmTzNhwCy7sDFdWfZXUzWjThCpyOMk7/AOXmuhPhbxxhOB8bjq1fB/WFWw86aVk7N2fvX/5du1p+Vnrax8gePtL/AGRvjw0kfxr+OOk/Em10nS75obXxV40tNQi022eMC5uY40KiNhGozORujAJVlySfrT/gn/qnjnWf2K/hnqXxHa9bVpPCVr5kmpWohuJIQuLeSVAAFdoBEzDA5JyAeK88/wCCj/wL+D/xvk8F+Hvi38PNO1+xsV1W+tLS+jbYlwkUAV8KRuwGYYOQc8g1778Ff+SOeEuB/wAizYdB/wBO8deVkOBq4LOsTCpVc2ow1fW+vd7WstT57M83pYjhihhVzN87lZ25aajzK1PV/G5c09Iq8Y/Fuumryv8Aaj+FH7H/AMUbLwvF+1zong+7gsfEcT+E/wDhLb2KBTqTA7I4TI6+a7gf6r5g+0ZU4GPVK/Db/g6M8UfF0ftWeAfDOp3V/F4NtfBn2zw4oUrA2otcyrdurD70ioloD3UFcY3c+3nmPhl2XSrShzq6Vntq+v8AW9j1fCvhTEcZ8Z0cuo4p4aTjOXtI35lyxekbNXb2eq93mfSx+4v2S1DbhbR5z12CpK/N79jv9pa+1z4J/D7xL8Tv219Qu/F2oeH7RtW0bUfHdkfNupY9vlvAAH3HcPlzu3Y719//AAnu9cvfAOn3PiFpGuWRvnmzvZNx2ls8524+tcuVcRYbN8S6NKnJWV7u3dK2jfc+UzfJa2T16lKpOMuSbheLunZtXXk7aHRV+cf/AAc2+I/ixov7C2iaV4HlvY/D2qeNbeDxk9omUaBYpJIEmYcrGZ0Q+hdUB5wD+jleQ/t1+CPCfxK/Zn1jwD480GHVNG1bVtHt9S0+43eXcRHVLXKttIOOB0Irtzqm6uUV4p291/gr/jsejwNnlDhrjDA5nWpe0jSqRk491tdX05lfmj/eSPy3/wCCNnx41dP2Q38OfFH9r/VfC9ro/iO5s/DGjnxraWKxWHlxyHZHKC+3z5JsE8dQOAK/Tn9kDwvokcV7458N3Cy6bdaPY2GmS20qyW8tvEZXRo3Gd4xKPmBIIxU37CfgHwV8O/2foPAngfwxZ6Zo+k6/qltpun2sWI4IlvJcKM5Pqckkkkkkk17MqqoCqoAHQAV4GRZFWg8PjamIlJKN1FrRc0dk7va/bojt434nw/EPEOOxdDDqlGtUlKyte3NfWy+J7y82xa8P/wCClfiP4seEv2Cfit4k+B73qeJ7PwddPp0umx7riJcATSRjqHWEyMCOQVyOQK9wqj4mLDw3qBXqLGXH/fBr66vTdWhKCdrpq/a63PlsrxkcuzOhi5QU1TnGTi9pcsk+V+TtZ+R/Pb/wQw+Kut+Cfin428Naj8fL3wP4YvfD8V1eSW3iC205bq+jnVIAXmBLERyXPyr7k9BX39pfhj4LaX8e/hd8XfgRrlj4g+IesfF22iuvFVlqEGqalq1rNH5erpcTgktDHp4LEDCwiOHaF3fN7X/wTF+Bfwe+CQ1/RfhN8O9N0K11Pwt4fv8AUIrKNj9ouX+2hpGLkknAAxnA7AVR8IfBD4RaV/wUVuPjpp3w+06LxhqHja8sLzxAqN58lsuguBHydqjCIMgAnaMmvy7BZZXWEwWIdeXLKpFKPSPvPVa+Xbqfs/FviBl/EHGuPzSjRlShKlblVr1LQjG1WzS5X9r4tEo215l9i0UUV+rH4SfzT/s+/Fz4/wClf8Fa/wDhNvih8RdV8MeLdQ8fX1p431e4u4rKe0hZ3S6jZ5RshVY1KAdFCqF6LX6PftEaN+yv8Ufhv4v+I/jL4vWXjvxFofhKX+yNev8AxLbarqGiujGS1NkqHEMrXflbdq7pZNkZ3AhD7p8PPgf8I9J/4KC3Xxv0/wCH+nxeLtY8aarZalr2xjPPbrpcoWM5JUDEafdAJ2jOaZ/wUR+Bvwg+JXxc0vxf49+HunarqfhTwc954du7uNibCc3RPmIAQpOUQjcDgqCMV+S1cprrLq9b28uWNVx5dbN8yXM9d9b7dNz+gOJvEjLeJOKsvxtHDPDKlQhF+ztzNxTk4LVLkv7iu9I6uL+A+qfhLeeMdR+FXhnUPiLbND4gn8P2UmuwtGEMd40CGZSo4UiQsMDgV0FFFfrMVyxSPwOtUVWrKaSV23ZbK/ReSCvPv2kdIGp+CLS4OmC4Njqsdwr7STAdkibxj2crzxhjXoNFcuPwn17BVMPzcvMmr9isPV9hWjUtezucv8FvCR8D/C3RvDLGXdBbF2E+N4aR2kIOAMYLkY9q6iiitqFJUKMaa+ykvuVjOcnObl3Plf8AbY8Uazpf7U3ws0bxDrk9j4Wl8P69c2SyOsdpc64n2VY0kckZkWzkvmRO481gDsJX5v8A2evjv4G8VfDDUbTxp+2hdLpMnijXLTTdFvPG9hbW82jrfzx28ZhAB8poAAOQWQg55zX6DfHX9nz4L/tNeAZPhd8evh3p/ifQJLqK5bTdSRigmjJKSKVIZWGSMgjhiOhIPSaN4a8PeHdHtPD+g6Ja2djYW0dtZWlvAqRwQooVI1UDCqqgAAdAK+Wx/DeLxmZVMTDEuCkkrK99Fa2606/Nn1/9v5VHIKOFWHvWi7NtR5bJzkmnq3KXOlJNKygmnLmtDz79mDwuNK0DV/FAaT/ieahHMu7GwrHBHEGTjkHb159q9PoAAGAKK+iy/BrAYKnh078qtfufKYis8RXlUta5U17RrTxDot1od9nyrqBo3K9RkdR7jrWd8PvA9p4A8PjQ7a7a4ZpWlmnZNu9jgdOcDAA/CtyitJYXDyxKxDj76TSfkyVVqKm6aej1sFFFFdBmFFFFAHi3xG+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/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", "info": {"equation": "16*13=208", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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LVbnnH/BB7V/iXrH/AATB+HcnxMhuFe3S8t9Da5gEbPpiXMi2xAGMrsGFY9VCnkYJ+wa8z/Y50bSvDv7NPhTw9oOnQ2djYWUttZWlugWOCGOeRURQOiqoAA9BXpldmWR5Muoxve0Y/kjw+Jsyp5zxHjMfCmqcatWc1FbRUpN2+Vz8jf8Ag6o8R/Fi18H/AAn8LafLep4IvL/UZ9VEUf8Ao8upxrELYSMP4hE9wVU9cuRnHFP/AIJ5fFHw348/YA8LeBv2h/2s7u0tZtLudKufCd348tLGBtJSV4YbZ4gVkWJoFCEFgzIevNfoB/wUN+Enw2+N/wANPCvw8+LPg+113RLrxvFJcadeFwjsmn3zIcoynhgDwaZ4f8LeG4v+CbV54Yh0K1TTk+F2oWiWSQhY1gFpMgjAHRQny4Havj8xyuvjM+r8leUPcUtOq25d1ppf5n6NPj7Az8M8uyCOFSq0K8puqrX1cmnHrze/Z6r4I2f8vB/8E6NI0HwT8evit8Ovg/p1vY+A7PTtDu5NL0m3jTTrHXpRdC6SHZ8qSNax6e8kYwAWRiAXyfr2vnT/AIJ3/CD4YfAzw74y+Hvwh8E2Xh/RYdft549PsFbZ5sllCXcliWZjgckngAdABX0XX0PDUXDI6Cbvpf729Pkfn/FeOpZhntWtTu1aMby+KXLCMeaVm7Sla7V5WvbmluyvnL9tzxTZfD23uvFuh2f2rVxpqJa2CKn+lXskghtIvmZQWeV0TBI4xzX0Lqup2ei6bPq2oS7ILaJpJW9FAyfqa+YG8J3/AO0v+0FObuGVdO8MWDa4xZ1VW1CXzLfTojlDuEcaXMjYIIYQnnPHDxU/rVCngaa5qk3dLsoptv57fNnHlK9lUlXk7RirfN/1c9k/ZNsPB2nfs2eC4/AlyZ9Pl0GG4+0yRqktxcSjzLiWVUZgszzNK0gBOHZhk16HXiP7HI1bwwPE/wAPLsL/AGcmsSaroih1Bt1uTvuoCgRSMXXmygktkXGMjbivbq9rKcXSxuXU6tPRNLTs1o18mcWLoyoYmUJdwooor0TmP52/27fHX7Ur/wDBdLUNWtk1WTxlpHxQ0+18CWptAzCySaP7AkUZ+Vo3iZW9G8x2blmr+iSvjr4+fBP4S+Iv28NO+Nuu+AbC78WaHrHhW00fXZlYzWkL3g3KnO0Z8x+cZ+Y4NfYtfMcPUHRxWMvJv9519L/fr+B+p+I/GuD4ty3J6FDDKi8Lh1Tk1b3notLfYXLeKeqcperK/nF/bj+Lv7Svhn/gtV4p8aan4y1jQvFGk/EkWHh/UPNW2ks9IMghtfLLfIkTWcincflZZWZvvNX9HVeVa/8ACX9j3UP2r9H+J/iTQfBz/GO20B49FnubyIaudP8A3qM8cBfc6ANMnmbDgFl3YGK6s+yupmtGnCFTkcZJ3/y810J8LeOMJwPjcdWr4P6wq2HnTSsnZuz96/8Ay7drT8rPW1j5A8faX+yN8eGkj+Nfxx0n4k2uk6XfNDa+KvGlpqEWm2zxgXNzHGhURsI1GZyN0YBKsuST9af8E/8AVPHOs/sV/DPUviO162rSeErXzJNStRDcSQhcW8kqAAK7QCJmGByTkA8V55/wUf8AgX8H/jfJ4L8PfFv4eadr9jYrqt9aWl9G2xLhIoAr4UjdgMwwcg55Br334K/8kc8JcD/kWbDoP+neOvKyHA1cFnWJhUqubUYavrfXu9rWWp89meb0sRwxQwq5m+dys7ctNR5lanq/jcuaekVeMfi3XTV5X+1H8KP2P/ijZeF4v2udE8H3cFj4jifwn/wlt7FAp1JgdkcJkdfNdwP9V8wfaMqcDHqlfht/wdGeKPi6P2rPAPhnU7q/i8G2vgz7Z4cUKVgbUWuZVu3Vh96RUS0B7qCuMbufbzzHwy7LpVpQ51dKz21fX+t7Hq+FfCmI4z4zo5dRxTw0nGcvaRvzLli9I2au3s9V7vM+lj9xfslqG3C2jznrsFSV+b37Hf7S19rnwT+H3iX4nftr6hd+LtQ8P2jato2o+O7I+bdSx7fLeAAPuO4fLndux3r7/wDhPd65e+AdPufELSNcsjfPNneybjtLZ5ztx9a5cq4iw2b4l0aVOSsr3du6VtG+58pm+S1snr1KVScZck3C8XdOzauvJ20Oir84/wDg5t8R/FjRf2FtE0rwPLex+HtU8a28HjJ7RMo0CxSSQJMw5WMzoh9C6oDzgH9HK8h/br8EeE/iV+zPrHgHx5oMOqaNq2raPb6lp9xu8u4iOqWuVbaQccDoRXbnVN1corxTt7r/AAV/x2PR4Gzyhw1xhgczrUvaRpVIyce62ur6cyvzR/vJH5b/APBGz48aun7Ib+HPij+1/qvhe10fxHc2fhjRz41tLFYrDy45DsjlBfb58k2CeOoHAFfpz+yB4X0SOK98c+G7hZdNutHsbDTJbaVZLeW3iMro0bjO8YlHzAkEYqb9hPwD4K+Hf7P0HgTwP4Ys9M0fSdf1S203T7WLEcES3kuFGcn1OSSSSSSSa9mVVUBVUADoAK8DIsirQeHxtTESklG6i1ouaOyd3tft0R28b8T4fiHiHHYuhh1SjWqSlZWvbmvrZfE95ebYteOf8FBtc8e+G/2LviJrfw1vNRttVg8POTd6PD5l3bWpdBdTQj/nolsZnUjJBUEcgV7HVHxMSPDeoFev2GXH/fBr66vTdahKmna6auul1ufKZdio4HMKOJlBTUJxk4vaXK07PfR2s9GfKP7IfjJdR/bDm8LfDHxGNQ8JRfCCGfWE09457S3m+3R/2S3nKSQ8tvJfsq5w8aK/TBP5L/sceOv2pdT/AOC8WkeI9fTVpfHN58Vru18WxXFoDLHYb5IrxGQ8JFHaBwMcIiLt6Cv1v/4JgfBD4R/AseINF+EHgDT/AA/a6p4W8P3+oxWCt/pFy320NIxYkk4AGM4HYDJqj4S+Cfwl03/govcfHex8A6fH4x1HxteWF74hCMbiW2XQXAj5O0DCIMgAnaMmvzrD4WUsoy6XO/4v5yf5W/Fn7Pw7x3kvDFbOcNTwntYV8L7KMpKKlezu5pNrlk56pNu0ILXdfYdFFFfpR+Fn80/7Pvxc+P8ApX/BWv8A4Tb4ofEXVfDHi3UPH19aeN9XuLuKyntIWd0uo2eUbIVWNSgHRQqhei1+j37RGjfsr/FH4b+L/iP4y+L1l478RaH4Sl/sjXr/AMS22q6horoxktTZKhxDK135W3au6WTZGdwIQ+6fDz4H/CPSf+Cgt18b9P8Ah/p8Xi7WPGmq2Wpa9sYzz266XKFjOSVAxGn3QCdozmmf8FEfgb8IPiV8XNL8X+Pfh7p2q6n4U8HPeeHbu7jYmwnN0T5iAEKTlEI3A4KgjFfktXKa6y6vW9vLljVceXWzfMlzPXfW+3Tc/oDibxIy3iTirL8bRwzwypUIRfs7czcU5OC1S5L+4rvSOri/gPqn4S3njHUfhV4Z1D4i2zQ+IJ/D9lJrsLRhDHeNAhmUqOFIkLDA4FdBRRX6zFcsUj8DrVFVqymkldt2Wyv0Xkgrz79pHSBqfgi0uDpguDY6rHcK+0kwHZIm8Y9nK88YY16DRXLj8J9ewVTD83LzJq/YrD1fYVo1LXs7nL/BbwkfA/wt0bwyxl3QWxdhPjeGkdpCDgDGC5GPauooorahSVCjGmvspL7lYznJzm5dz5X/AG2PFGs6X+1N8LNG8Q65PY+FpfD+vXNksjrHaXOuJ9lWNJHJGZFs5L5kTuPNYA7CV+b/ANnr47+BvFXww1G08aftoXS6TJ4o1y003RbzxvYW1vNo6388dvGYQAfKaAADkFkIOec1+g3x1/Z8+C/7TXgGT4XfHr4d6f4n0CS6iuW03UkYoJoySkilSGVhkjII4YjoSD0mjeGvD3h3R7Tw/oOiWtnY2FtHbWVpbwKkcEKKFSNVAwqqoAAHQCvlsfw3i8ZmVTEwxLgpJKyvfRWtutOvzZ9f/b+VRyCjhVh71ouzbUeWyc5Jp6tylzpSTSsoJpy5rQ8+/Zg8LjStA1fxQGk/4nmoRzLuxsKxwRxBk45B29efavT6AABgCivosvwawGCp4dO/KrX7nymIrPEV5VLWuVNe0a08Q6LdaHfZ8q6gaNyvUZHUe461nfD7wPaeAPD40O2u2uGaVpZp2TbvY4HTnAwAPwrcorSWFw8sSsQ4++k0n5MlVaipumno9bHMeD/hdpXg7xLqPiSzvHka+JEcTIAIVLbmUHv836AfWunooow2Fw+Dpezox5Y3bt5t3YVatStLmm7sKKKK6DM8W+I3w+PiP9oPTpRpkkQkvNNvZLqBT+9FnKsylicjAZdpxjhh3INe00UV5+BwCwVStNSv7STl6XS0OiviHXjBWtyqwV/OL+3H8Xf2lfDP/BarxT401PxlrGheKNJ+JIsPD+oeattJZ6QZBDa+WW+RIms5FO4/Kyyszfeav6Oq4PVv2YP2ftd+O+n/ALTusfCbR7jx9pemmwsPFElvm5htyJFKA5xnbLIu4jcFYjOOK489ymtm1GnCnU5HGSd/66rofo3hjx5gOA8Zja2KwqrqvQnSS00bs0nf7ErWmlra2jtY+WPC3jH4e/EHxSNH0b9pSXx1qj2s0On2Fx4wttRlhR8CRoooQGyQFycHgCvtDwXoKeFfB2k+F43dl03TILVWkILERxqmTjjPHatBLa3jbdHbop9VQCn1OT5LUyurUqVKzqSnbV+V/N33PgMZjY4qEYxgoqN9vP5IK4T44/sx/AH9pa30W0+PPwp0jxTH4d1RdR0VNVgLi1uQMb1wRkEYypyrYGQcCu7or25whUi4zSa7PU58LisVgq6r4eo4TW0otxa6aNWa00I/slqG3C2jznrsFSUUVZgFfNf/AAUQ8Ra7oup/COwutXubHwpf/EIx+I54iEhluFsbh9Ohncn5Y3vFiwOjSrEvJYKfpSuf+Knwq+HXxv8Ah9qnwp+LPhCz17w7rUAh1TSb9C0VwgYOAcEEEMqsCCCCoIIIrhzLCTx2AqUIy5XJWv8A106PyPVyTG4bL8zp18RHmgrp2SbSlFxcop6OUb80bte8lqtz88/hP+0D4en8efE3Tb79s++0HSNO8fSwaBp9v40sbKFE+yW0l0I1YFnQXj3I3knJDDPFfcP7NPizWPGfhy7164106pp1y0cunaiJxKk4dSS0bj5WQjaQV454rrfh18Lvh58JPAulfDP4beD7HR9B0SzS10rTLOECO3hXoozknuSSSSSSSSSa3VVVAVVAA6ACvEyrh7F4DEU6tTFSmoq3Lrba3d6Lpp0R2Zzm2Cx1aosNQUIOyT05rRSV5WVuaVry1ere4teOf8FBtc8e+G/2LviJrfw1vNRttVg8POTd6PD5l3bWpdBdTQj/AJ6JbGZ1IyQVBHIFex0kkccsbRSoGVgQysMgg9jX0lem61CVNO101ftdbnl5dioYDMKOJlBTVOcZOL2kotOz30drPRn5r618b/Bnh39qDSfCPhH9qN/Cvh2T4Wi5v10jxVZ2tvKRdxf2Y3mybi5aCW8ZVBwU2v0IJ+hf2VrDwp4/8daX4t8I/EA+KIdJ1G5vb3XYtWivjcXLWsluRNNHlSwSZflGCAq9gc+z/Aj9l79nz9mPw9f+FPgF8JdH8LadqepPqF/a6Xb7VmuGVVLncSfuqoCj5VA4Aru44o4htijVR6KMV8fgOFMThp0ZVcS2oSUuVJ8t076Xf427nvZ1neW4iq4YGk1Dl5VKSSnLvKSjdXu7Jczskld2HUUUV9qfKH5VXHxv1bQPhD8L9Y8UfHS/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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", "info": {"equation": "16*13=208", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "17d71a5e5a4672ccdda118b289e517b4cdb8dccf987e9c3c1657db59b73f34f9"} +{"episode": 30610, "episode_seed": 3278515750, "split": "train", "timestamp": "2025-10-28T03:46:22.954692", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3278515750, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 4, 8])", "action": "('move', [1, 6, 4, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "20+5*10=70", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "20+5*10=70", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "ecfb810400ee3db8c668a2b8eb3dd5eb76bc8a3dcd253cff86b2acc08579b7dc"} +{"episode": 30611, "episode_seed": 2810301599, "split": "train", "timestamp": "2025-10-28T03:46:23.021701", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2810301599, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 6, 5])", "action": "('move', [4, 5, 6, 5])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "84+13=97", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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pyw/4KYah8TfHHinVtI+JcHxKeO+1C5KQXFjJ5/2cqPM+SJEh+Rc/IsYGPlANf1DV54n7J37N8f7QEn7VKfBzRR8Q5bL7JJ4r+zn7U0XliLGc7d3lgR78btny5xxVZ9k9bN40lTqcnJK//BVuq6er1PsfC7xEy/gBZj9awar/AFmi4R20evuyv/y7nf37Xfux0Z8eeIT+zZ8ddY0zw38SP2g7L4lx2d81xo/hrxN40s9Stjc+W6iYWq4WaRY2kALK20MxAB5HtH/BJom2/Zu1zQPDjSP4I0j4ja1ZfDSYxr5T6IkqFRA65863S5a7jikJO6ONeWGGOv8A8FFPg58LvjT8OvB3w/8Air4Istb0W68dJJPp90GCOyaZqDIcoVYYYA8Guv8A2IPD+h+E/wBmbQPC3hjSYLDTdNvNUtbCxtYwkdvDHqV0iRqB0AUAD6V42UZfWwPEk4VKzqNU73fW7Ss9XsfO4nOaNThF4Vc15VFaLtyQUU3zR1vzybafuxSV9ZOXu+sV4d/wUq8TfGLwb+wb8U/E/wAAnvk8WWXhOeTTJdMi33MK5UTSRDrvWEysCPmBUEcgV7jQQGBVgCCOQa+zr03Woypp2umrrdXW/wAj5fK8ZHLszoYuVNVFTnGTjLaXLJPlfk7Wfkz+aX/gjf4++Jmkftl+H/AXh3xPeQ+HNfvTP4o01Jx5N4be3uGtndW+8ySvlSvzDc38O6v2T/Zm+IOqf8Jdrfgjwj8Q3vdQtPHF7Nc+HU1NJDYpJcEANCvzRRuMv83BLMwPp1XxP/ZR/Zy/Zh8CxN8APg/o3hQ+I/iDp93rZ0m3KfapQJtpOScKu99qDCrubAGTXo/7HUaD4UXkgQbj4u1nLY5P+nTV+bYTh3E0c3jhHXaahzXjfbn+Far19eh+reJnH2X8cZ1POMLhfZwajC0rczcY/FK11fXlWvwxjr0PVqKKK/Tj8bCszxpPr9r4O1a68KQ+ZqkemTtpse0HfcCNjGMHg5bHB4rTopNXVioS5JqVr26PZn81f/BMXxz+0vf/APBXfwJ4pEusXfjfVfiFInjdru133LW8sjrqpnVx8m2EzluBs28YKgV/SpXxH8FvgJ8GvDH7c0Xxx0D4c6dbeLtc+Jfie31XxAiMbi4iEeqjaSSQo/dx52gZ2jOa+3K+U4RoOhhK0XJu1SS18ra/PqfrPi/xzguO85wmKw2F9gqdCEWtLt3btp9mN7Q621sr2RX4Lf8ABzd4p+Mt9+25onhPxfNfp4OsPCME/g2B49tq0kjH7XKhHDyeYiKxPzAJGOBjP7015F+1p8If2Kvivp3hqL9s3Q/BV3bWOtZ8LHxlfxWy/bXA/dQmR08xnCjMXIbaMqcDHp59l88zy50Iz5XdO7206P8Arex53hNxjhuBuMqeZ18M68eWceWKTmuZfFC/XSz291yPgb9kv426d8Wv2LvCll+07+2rqb6hrfhx7fxLompfEW0thNas8kawzICsih7fYGywchjkgk17l+wj4T8B/DT9uvX/AAb+zn4f07TPCt78Kre78daf4ds4VsINSS7iTSXYx/6ueW0e+O0Y3xxpIQSQzfVf7Rul6bL+zt48tZNPhMbeCtURk8sYK/ZJRj6YrxD/AIJx/Av4P/ADxP428JfBf4faf4c0660bQ7u5tdPVsSztJqSmRmcszHaqjk8AcV8zSyjEZfxBhY1MRKpdSet9LLbVvRkVeKMNi8BmdaNN01Xk7Uo29kueV7vVa09ORKO6T5ly2f1RRRRX35+cHj+qfBv9iS8/a9svinq/h7wQ3xqTR82M819CNZNmI3i81bcvuZRH5iebsJCgruwMD1xbW1RgyW0YI6EIK/mL/aR+Mf7VOg/8FQvFPxO8QeL9a0b4k6d8RZ4LW/eRbeeyRZTBBGm75EiFuURQfkMZ5ypJP7OeCfjp4TPiaOw0H9s668Q3d4Gt7fSbjx7Z3XnM39yOMBy/HG05618LDjLB0JVYyoNPme1tfOW1n33P2jxF8NMw4WoZZOrj1iFWopq7b5LWfLDV/u/e9x6X97RH25RWL8PLnW7zwTpt14iD/bHtwZjIMMeTgsD0JGCfetqvtaFVV6EaiVuZJ2e6ur6n41Uh7Obj2djyX9vLxB8XPCv7GXxN8SfAcXn/AAl9l4MvptBbTofMuEnERO6Je7qNxXAJyBgE4Ffz+f8ABHn4o+MPBH7Zlubb4x3vhHSNa0e9j8V6xDrMNmZYViaWNXmnBAzcLD0+Yn2Jr+l2vHv2ZPgx+xB8NfEnjW+/ZQ8OeB7bVNQ1jHjr/hFb2GeSO8V5T5VwqO3kMrNLiLCgHdhRivns8ySvmmMo1Kdb2fLfvf1jqte+q0P1vgjxBwfDPA2cZPVwPtpYpRtOytG/u++2npH4qe/v9r3Pi/41eEf2L/jF4P8AFvjv4w/FTSfHt3p3hOSKfxDrXii21O80S0VmeM2u04t288qVKqGkkKoSwIWvvH9k/V/idr/7L/w71z41wXMXjC88E6ZN4ojvbYQzLftaxmcSRgAI/mFsqAMHIr5l/wCCkf7P/wAFPix8VrjxT8Sfhppmtah4X+Gkl1oFxexsfsU3nXTb1UEKx3RofmBHyjivtWxJayhZiSTEuSfpXFw3g6mDzXGU51HNx5E2+t03d6vVbbnyud5xSxfDmEwy5m1KUvetaml7qhT1btLRz0jqopR927looor7M+LK+rvfR6TdSaYm65W3c264zl9p2jn3xX80v7D3j/8Aat1D/grp4K8ZXr6zcfEu/wDiiI/Fq3NpuugskzRaoksbDCKlsbkMMARqhxt2jH9MVfEPgL4DfBvR/wBvJPj5pnw606LxnqXxS1a0vvEQVjcSwCyvV2csVUbY0BKgEheTyc/JcT4eVXEYOSk1+8S087a+qtp6n694X8eYHg7Lc4w2IwirPE0HGLdtGlJcsr/YlzXklreK06r7eooor60/IT4c+NfjyOw/bY+LVl8bfGcmmabpXgzSH8KQanPHb2segtbu19dwFiBITe+YkznO3ybdTgFd3lH7MXx28O+Mf2ZPCZ+Mv7bF/LdahoITV9F1fx3YW6zWzFlSGaABSgaDYGTgjcQcHNfe/wAdP2Tv2b/2mb/QNT+Pfwd0XxVceF7xrrQZdVty5tJGKFsYI3KxjQlGyrbBkHFd+bO0JybWMn/cFfGV+F8ZWx9avHFOCm76Xv6PVaLZb6H2+M4jyirlVGlSw3721NTbUUo+zhyLkau37T46l1H3kvi3PKf2XfCIsTrnj3dKRrS2kEe7HlskAlIdOOcmcjOSPlGOhr1qgAAYAor6XLcEsuwMMMpX5VvtfW58fia7xNeVRq1woooruMDzj9pjR/7U8I6ddtpa3A0/VhcpLglrdzDLFvGPVZXUk8fPWx8CPBzeA/hXpnh1/ODb7m6dZwA6tcXElwVIAGMGUgDqAOea6+ivNp5coZrPG8zblFRt2s7/ANfM6ZYlywqoW2d7hRRRXpHMcD+0doq6z8PUZ9LW5FnqUN0GIJMBTdiQY9M454wTU37O/g9vBnwyhsnEwe91C8v5EnGGUzzvLjGBgfNxnnFdx160V5scuSzZ47m1cOS3zve50vEt4RULdb3+Vgooor0jmCiiigDwnwV8N2m/aHXVTpUlmuja5qGqssKkRvJcRXMZZiwOQ5uXfgjJ6cAivdqKK83K8uWW0ZwUubmk5XfmdOKxLxM1K1rJL7gr8Fv+Dm7xT8Zb79tzRPCfi+a/TwdYeEYJ/BsDx7bVpJGP2uVCOHk8xEVifmASMcDGf3prz74+/sp/s6ftS2mj2P7Qnwh0fxZFoF8bvR01aAt9mlIAYrgjKsFXcpyrbVyDgVjnuW1c1y94enPld0/J26P+t0j77wr42wPAHF9PNsXQ9tBRnGytzR5l8Ub6X6PVe65H55/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+3n9wUUUV7hwhXhOifDUXn7RqX40qWzXTPENzrDeQpCSPJBPFvYtnh/OLcY+YcdCK92orzcwy5Y+pRk5W9nNS9bdDpw+JeHjNJX5lb0CiiivSOYKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACuQ+Pnx3+Ff7MXwb8Q/H342+KotE8K+FtOa91nUpUZ/KjBAAVVBZ3ZiqKiglmZQASa6+vk3/AILe/BX4n/Hn/gmz448HfB7wleeIdc0/U9C16Lw7p0e+41SDTdYs76e2iT+ORobeTanVmCqOTQB7J+yX+158D/21/hQfjD8BtdvbrTYNWudL1Oy1bSprC+0y/t2CzWt1bTqskEq5UlGAOHU9CK9Or4u/4I2+FvH+oQftBftL+K/hr4k8H6P8Y/j3qPibwboHi7SJNP1EaYLGytEuZ7WTD27yyW0jbHAbaFJ6ivtGgAooooA8b/bK/bx/Zz/YN8L6B4t/aJ1/U7K18S67FpOkrpWh3F873EjKoLiFGEUYLoC7kLl1HJIFeyV8Mf8ABwj4s1K1/wCCf9z8NfDXws8deK9a8T+L9BbTbHwR4LvdYeNbLV7K9neYWsbmFfJgkKs2AzAKOTX2V8MfiBpXxX+HOh/E3QtK1awsvEGlQahaWWvaVLY3sEcsYdUnt5gskEoBw0bgMpBBAIoA3aKKKACvAviV/wAFL/2TfhF+1ZoX7HPxC8U61p3izxFqNtpum3s3ha9/shtRuYTNb2Daj5X2YXUkYDLFv3YIzjNe+1+cf7d3xrv/AI1f8FXPhD+yj8U/gr8Urf4V/DDxJpPi5fEPh74ZanqVj4m8XSHZpsL3sELQ2ljZCczzyu3MmEbasbNQB+jlFFFABRRRQB4F+zt/wUs/ZV/ag+P3iL9mb4Y674hi8XeHNMfU3sfEPhG+0xNS09Lk2rXtlJcxIt3biYbPNjypJGMjmvfa/NX9g7SvFPxA/wCC0nxE/aT+GPwU+NOgeCtY+FE1h8QLv416Pcw/YvEQ1cSwWGjPdFitoIjO7R2zG2zsK9q/SqgAooooAjurq2sbWS9vbhIoYYy8ssjAKigZLEnoAOc15T+xj+21+z3+338IZ/jp+zN4oudZ8Mwa/eaONQudPktvNuLZlWQosgBZPmBVxwQaxP8Agpf8P/2hfix+w78QPhd+y5okOpeMPEemRabb6fNriaYbmymuYo7+JLt1ZbeRrNrlUkKttZlO0kYr56/4N8vBXx7+G37P3xc8D/G39ld/hRBD8f8AxRdeHtDbVDcp9nmustFATBF5ltCVWOK5UFLhAJFCjigD76ooooAK8a/bE/bp+Cv7EOm+F734u6R4v1O58Za1LpXhzSPBHhC71u+vLmO2kuXVbe0R5CFhikckDgKT2r2Wvh3/AILkeCPhp4n+DPhXxF458E/tAX+seHrzVbzwLrH7PlrdvqOl62+nS28DTvZ/v4o5BM6Bh+7PzCQhTggH2Z4B8Zad8RPA2jfEDSNO1KztNc0q3v7a01jTpLO7hjmjWRUnglAkhlAYBo3AZWBBAINa1eSfsEp+0JH+xR8KU/awa4PxKHgLS/8AhNzeFTP/AGl9mTzvN2/L5u7O/HG/dXrdABRRRQB4j8bP+Chn7MXwC/aG8M/st+OvEesT+M/E8EFzHp2heGrzUU0u1nuPs0F1fy28bpYwST5jWSUqpYHnAzXt1fjz/wAFEfgF+2R4L/4LG6p8av2f9K+MK658QB8O0+HGr+Bxc/8ACM+VYai8Wu22vtH+5WJLJ5ZUSf5T9oYpl+n7DUAFFFFABXzX8C/+Cqn7NHx+/aeb9kHw54W+JOh+NzpN7qdvZeNPhtqWjw3VnaSrFNPFLdRIske91AZcglhg819KV8efsm+AvHPxV/4Km/tE/tf/ABB8Gavpml+GdN0f4XfDOXWNOlt/tVjbR/2jql1B5ijzIZb25RFlTKv9lOCcUAfYdFFFAH//2Q==", "info": {"equation": "84+13=97", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "7bbbb90b5b0a2bcedc218d9ea5d803b2a35bb3bb9a4f3badebd1ae660c2972ef"} +{"episode": 30612, "episode_seed": 2448580743, "split": "train", "timestamp": "2025-10-28T03:46:23.095130", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2448580743, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 1, 1, 7])", "action": "('move', [0, 1, 1, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "6+18*2=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": "6+18*2=42", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "09da38f8fbc561c01b8358b2be8f1b7659b5f304793d78d3f7953e4840519bce"} +{"episode": 30613, "episode_seed": 2257349827, "split": "train", "timestamp": "2025-10-28T03:46:23.158788", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2257349827, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 1])", "action": "('move', [2, 8, 4, 1])", "reward": 0.0, "image": 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", "info": {"equation": "54/18=3", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "54/18=3", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "e4c4016cf25769455566fefea01d375aae58a691dbf85b6dfe3e58ce26836240"} +{"episode": 30614, "episode_seed": 3427254429, "split": "train", "timestamp": "2025-10-28T03:46:23.220403", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3427254429, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 4, 4])", "action": "('move', [6, 0, 4, 4])", "reward": 0.0, "image": 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", "info": {"equation": "16/16=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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eD9K8PWcngC3mi2WrRSwRm7mixw7m5WRHY/NiJFPCrX6gf8EJNe+MXiD/AIJneAp/jJBdrLbLcW3hx722ETyaPG+20YAAFk2DCMRlkVTyME6f/BQ79n74LftDfFj4c+Hfjb8OdP8AEljp+h67c2VtqG/bFMbjSlLjYyn7pIwcjnpXsH7GFra2H7KfgGwsbaOGCDw1bxwQwoFSNFXCqqjgAAAADgAV8ZlmGlS4sxbc29E//ArO3y2R+18WeImX574V5Vw/SwahUw796elvdUo3jbW9S/NUvb3v5r3Xp1FFFfZn4ofzDf8ABW7xl8d/Ev8AwUW+J118drjUk1XS/FNzZ6FFfReX9n0iOZjp4hUcCMwGOQEfeMjOcszGv1G+CHxy074l/s0eGf8AhoL9ufVBreveEoB4u06X4kWVoTLNDiaNlj2tFkMQQpVlzwQRXef8FCf2cvgX8Vvjp47+JfxJ+F2l61rvhv4bWTaFqV/GzNaFU1KRSq7grYcBvmB5FfZ3xHtbX/hUGvSfZoy3/CN3RyUHX7O1fmuEyXE4vMsZCniZQ5Za2v717vXVbH7zx54n5bxJwxk+CoYFU54eNnLTRpRjanZXUXbmd7O6Xa7+F/gH4S+Gfwd/bk+EOgfsgaPpukxeINH1BPH+leEIYms7vw1DYu9ne3gQkArem2SC4PzyfaJl3ON2P0Rr4h/4Jzfs5fAv4BfGbR5/g18L9L8PSa58MLubV5bFHL3TrPpJUszsxwC7kAEAFicc19vV7/BsHDJU73vKT9Oll91/Vn5vxtmdHMszpqnKU/ZwUXOdlOb5pS5pWlLbm5I+9L3Yx16Irnfi34X+GPjX4Ya/4W+NOnaVd+ErzSZ08Rw62yrafY9hMrSs5ARVUFi5I27d2RjNdFX5x/8ABzJ4u+OXhv8AYm0XTPhtPqMHhfVvFC23j2ewj+U2+zdbxTOOUieYDPZmCKTyAfdzLFRwWAqV5R5lFbd/+B38jm4JyGtxPxZg8rpVvYyqzSU/5ba3W3vae6rq8rK63PtD9lP4Y/so/DX4QwaB+x/pHhSLwZLfT3EL+E7yO7tJrksFlczI7+Y+VCkliQEC8BQB6THBBEcxQopPUqoFfz4/8ENfjd448J+LvF/w71z9o/VPBXgYaV/aAt4vE1vp8EmqtLDGrKZwcuYVkyE6hF3dFr9Uvg/8Zh4gum8P/Dr9o668a3kdwtwYh4ng1GaLOEAIg5EZ9GGMk18nh+NMFHDxj7CSeitFK3y/TTyPqfETgPG8McX4nA1cX7dpqXtJN875kpe/e/va66vv1sfX9FMgMzQI1woEhQeYF6A45xT6+5Turn5cFFFFMD4K/wCDjPxZ8cvCv/BO+5T4PS6jFpupeJ7Wx8eXGnRZKaPJFPuWRhzHE9wLaNiPvB9h+ViD8Tf8Guev/GK2/ao8ceG/DsF2/ge68ILP4odbYNBHfRzAWO6Qj5HKvdhVB+YB+DtyP19/bZ0rTtd/ZG+I2h6xZpcWl74Qvbe7t5PuyxPEVZT7EEj8a8l/4J7fAj4O/s+fFPx54N+Cfw707w3plz4f0W6uLTTlbEsxudUXezOzMx2qAMngDjFfGZhhpPi7DT53rFv05U9PR9fmftmQ+ImX5b4QY/hqeDUqtWd1PS3vOPvS688Le415bW1+q6KKK+zPxMKKKKAPnex+FX9s/G6GxOkS2KWXi99dmFspCGQTSTFyWB+V3Yk+pJxivoiiivKyrK45XCpFTcueTlr59P8AgnVi8U8VKLatZJBXh3/BSbxJ8VPCH7D3xC8RfBm81a11220qHN5oNv5t7aWLXUK308C4J82OzNxIpALKUBAJAr3Gjr1r0K9J1qE6aduZNXW6urXXoaZXjI5dmdDFypqoqc4ycXtLlknyvfR2s9HofmJ8ffjL4L8A+I/gZpXwe/aBj8Nw32urbJdaJr9pGJfDP2OQTyNNIWCRboLcLID8zqVBJ4r1Hw38Rfhj4u8U6faf8NTHxnqMUkjaRpmoeNrS+aOUxOrSRRRYYv5TSLnnCs3HcfTnwN/Yy/ZY/Zp8Qa74q+A/wN0DwxqHiVw2tXWmWpVrjDs4UZJEabnY7E2r04+UY9KW1tUYMltGCOhCCvhqPB2NWG9lLFtJ3vFJuP8A6Ur+eh9Nm/EGT1K1OOBoNxgvjmoxnJtt6qPMly35V7zulfS/KuM/Z48Et4B+F1to8gnD3WoX2oSJcgBka6upbgrjAwAZMAHnGM5NdvRRX2+FoLC4aFFO6ikvuVj4+rUdWrKb6tsK5H4jfCLS/iHqFrqVxqctrJAvlymKMN5keScc9CCTg8jk8GuuoqcXg8NjqDo1480X09PQdGtVoT56bsyOztILC0isbWMJFDGscajsoGAPyFSUUV0JKKsjJtt3YUUUUwCiiigDyH9pjQpbrX9B8RR6IJZLS3uLa3u0RmdfOeFni44wxhiI7krxXbfBPwSnw4+Enh7wNHJMw0zSooc3BG/gc5wAM8+ldRRXlYfK44fNK2N523USVu1l3+R1VMU6mFhRt8N9fUKKKK9U5T83H+JWlraftFar+0t8RLnTdbs/GWu2niJNWmigm0vRArQ6QttE2B5Mlm0UkJwRNPPLyzkgVf2fP2gofGv7O3hDVPjj+3VqS+ItV8L2sniewuviFp8IM8kQMsbxBRsznBXgjJHBr7f+KP7GX7LPxr+K+hfHL4r/AAO0HXfFvhryv7E1y/ti01v5UpliHBAcJISyhwwUkkYzXpRs7QnJtY/++BXw64Ux31mrUji3FSd9L3f+LVar5n3ubcT5Ji8JGOHwv7yTjKXMoqMOWPLyUrXfI23J3UXpCNm4uUvBv2VvB2k6j4wt/iZoMwfTbLwxJp2mS2kivazQ3ElrKCjjO/C2yYIOMNznINe+0iqqDaqgAdABS19LlGWrKsDHDKXNa+trbu+2p8ZjMS8XXdRq1wrG+IXw98E/FjwPqvw1+JHhi01rQdbsntNV0u/i3xXMLjDKw/UEYIIBBBANbNFelKKkmmrpmFOpUo1FUptqSd01o01s0+jRxPwL/Zx+Bv7M/gNfhj8CPhlpfhnQlu5Lo6dp0J2vPJjfIzMSzsQqjJJOFUdAAOzjggiOYoUUnqVUCn0UoQhTgowVkui2LxOJxGMryr4ibnOTu5SbbbfVt6t+bCiiiqMQooooA5r4x6Cnij4W674dm0dNQjvdOkhls3DESowwwwvJO3OAO+K4P9mLwVJZeIdf+Ik4nV9SsbLT1WQAIy28l1JuXjJOblgTnHygcEGvYaK8utlka2a0sa5v3E1bo731v8/yOqGKcMJKhb4mncKKKK9Q5QooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKg1W0l1DTLmwhuWheeB40mTrGWUgMPcZzQB88fs7/8ABV39iL9qX9oTU/2Zfg38Tru+8S2C3zWMl1oV1bWGtrZTeTeHTruVBDeiCQ7ZPKZtvJ5AJr6Or8VP+CVv7N/7TNh+0T+yF+zx4x/Zv8ceFLz9kmy+JEfxQ8Xa34flttIv21W5mWxXTrxvkvxcCVZW8snaAd3Sv2roAKKKKACvDf22f+Cif7MH/BPzSvDmrftJeItXsk8Van9h0iPR/D1zfsX3xRl5DCjLDGHmhXe5UFpFAyTivcq/Pv8A4OP/ABbq0v7BsXwU8H/CPx/4u8QeK/F2jXmm23gfwNfawsMOnatY3Vybh7WNxb/ugxTfjzCrBc4OAD9A1YMoYdCMilrmvg78TdF+M3wv0P4p+HNF1vTbHXdPS6tbHxJos2nX8CN0We2nVZIX45RwCK6WgAooooAoeKvE+h+CfC+peM/E9+LXTNIsJr3UbpkZhDBEhkkfCgk4VScAE8cCvD/2QP8Agpl+yl+29448SfDD4K694gtvE3hWzgvtV8O+LvCV9o179hnOIbyOG8ijaSB+MSAY+ZfUZ9q8c+KYPA3gnWPG11pF/qEWj6VcX0lhpVo091crFG0hihiXmSRgu1UHLMQB1r85f+CM3xR1j9qv9sv4sftrftGfBv4m+D/iz4z0BNN0fw14o+GWp6TpXhXwlZXYFrp6X11CkV7eyySi4lKnuQihUagD9L6KKKACiiigD53/AGzf+Cov7Jn7BOvWWh/tF6t4ps0uLOK8v9V0bwTqGo2Gj2ss/kRz311bwtFaI0gKr5jAnacCvoHTdSsNZ0631fS7tJ7W6gSa2njOVkjYBlYHuCCDX5lf8HF9hcfHP4XRfs3+B/gV+0Hr3xIisre/+GUvw90W7uPCesX819Bm21jYTaSpD9lRyl6oVVlJjJ3NX6SfD2LxPB4A0ODxrb2sWspo9surxWSgQpdCJfNWMDgIH3AY7YoA2KKKKACgkKCzEAAck0V4n/wUb8IftLfEL9iP4i/D/wDZCihf4ha9oDadofnaoliVWeRIrhkuHBWCUW7TFJCDtfacHGKAF/Y1/wCCgv7L/wC3zF43u/2YfGtxrtr8P/Fk3h3X719Okhha8jGSYHcATRkciReCCCOte11+ZX/Bvr8LP2kvgn8W/wBpnwH8Vv2Jf+FQeF5PHuny+HrVfEZvreNodMtrUWlrJ9mhF7CsUSObxPlZ2ZNu5ST+mtABRRRQAV85/Er/AIKgfs6/DP8Aaqm/Y4ufCHxK13xlZvpQ1U+EvhtqWq2GmLqJItZLq6tomitkYByXkIAEbknCnH0ZX5Lf8FUPAHxC0r9u1/H/AOwp4E/aZ0v9onXvF/hCCHW9BtbuPwBq2i2wUTm/li/0SSGOCW6R1uT5iyZ2Da2SAfrTRRRQAUUUUAch8fPj18Jf2YPg7r/x8+OvjS18PeE/DFgbvWdWu8lIY8hQAFBZ2ZmVFVQWZmAAJIrn/wBlL9rj4TftkfDyf4kfCSz8S2draX5s7yw8XeFLzRr6CTy0kUtb3caSbGjkR1cAqwYEGvnf/g4J/Z2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"info": {"equation": "16/16=1", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "403b97df24746abf60f3b3193765c111a056941c17963d48332940f3fc48617d"} +{"episode": 30615, "episode_seed": 11433645, "split": "train", "timestamp": "2025-10-28T03:46:23.302873", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 11433645, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 6, 5])", "action": "('move', [4, 6, 6, 5])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "17+20*9=197", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed 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+20*9=197", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "c321a8e1785afb08198045c8e36a9b120c422cf0cc166812c9fa42cffe462120"} +{"episode": 30616, "episode_seed": 2163110701, "split": "train", "timestamp": "2025-10-28T03:46:23.367666", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2163110701, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 7, 0, 4])", "action": "('move', [2, 7, 0, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "80-23=57", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", "info": {"equation": "80-23=57", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "f7f2d3e12e44fd1213a4956d335bc027cc491b826799ae1565ea0c10e95813f8"} +{"episode": 30617, "episode_seed": 122102102, "split": "train", "timestamp": "2025-10-28T03:46:23.432184", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 122102102, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [5, 1, 1, 1])", "action": "('move', [5, 1, 1, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "58-2=56", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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0/wCJ8+n3Ek2heHvE/jG01S3S4aMhpks1wksoj3gMyvtVnxjJNaH/AATu/Zu+A/wc+LPgDxb8L/hZpWi6n4k8A3cuu31rGxkvG8mxk+YuzYG92bauBk9OBj2L/gpB8FfhR8cND+HvgH4teA7HXdGk8YzzvYXYZUMkelXxRsoVbIJPevyjDZTiKvD9TEqvJRjf3NbO3z/Q/bvEPxFy3jDjuhjcNQlh4qEYOas6v2ruycU9G4pc6vHdq9lz3/BIkR6Z8PPiP4N+H7O/wv0P4j3Vt8MJI0U2otGhilvYrSVc+fbpqD3aI+WHBAY44+ua8Y/YF8K+G/Av7N1p4L8G6HbaZpOleJddtdN0+zj2RW8KardBUUdgB+J6nJNez1+kZLTdPKKEW7+5H8Vf8NkfjvEuPhmme18TCNlKXXd2SXNJ9ZztzTfWTbCv51f+DhPxb8cNd/4KQeI/D3xWm1FdE0iwtE8BW11Fst1014UZ5YAOGDXHnhn5JaPaT8gA/oqrzT4//sc/sv8A7U99oup/tC/BPQ/Flx4ekd9Hm1W3LNb7ypZcqRuUlFJRsqcdKwz/ACqrm+B9hTnyu6euz8n+fqj7Twk49wHh3xU8zxmHdaDpyhpbmi3ZqUb2V9OV6r3ZP0f54/8ABP8A/aU8R+LP2QvBut/Hv9unW9O8SyWk0c9pdfECxtpY7dJ5EttyOC4JgWM5f5mzluSa+7f2ZfiBrvj3VF1fS/GJ8QaLPYEnU0vVuIZCuEV1kT5CxKkHb1+bjI49mj0+wijWKKxhVVUBVWIAADoBUqIka7Y0CgdABivOwfDeMw+Kp1Z4yclF3s72fl8T/LY+VzviDD5vj8TiaeFjSVacpKMbWjzSbstFor2W2wtFFFfWHzJ8Zf8ABe7xf8c/Bn/BNzxXqHwMm1GGS5v7W08U3WlxbpYdGkLrckkfMiE+WjsvRHbOFLEfkJ/wRb+Mnj34fftM3Pg2z+OupeCvCGsaRPceKJbXXYbCGV4Y3+zFnmyu4SyADb8xDEdM4/oN/alghuv2Y/iNa3EQeOTwHq6ujDIYGylBBr52/YB/Z0+Bn7Pvxy1fQvgt8MNL8O2upeC0uL+KxRibiUXYVWZnZmOBwBnAycDk5+E4gwFXFcQ4aMKrg5ppNfZ5U3pqtz9w4R8R8tyPwtzLh+rglUqVpXU9LPm5Ved9eanbmptX1tta7w/Anjr4e+MvF8P9j/tEHx3rcVpJHY2914tttRnt4WeNpRFHDggM0cO44P3E6d/rj4J+CU+HHwk8PeBo5JmGmaVFDm4I38DnOABnn0rpUtreJt0cCKfVVAp9e1k+RTyzE1K9Ss6kpJK7Xbzu7n5BjMfHFU4wjBRS7f8ADIKKKK+hPOPEvjp8Df2BvHX7QXg7xt+0H4b8A3HxJtWhXwW/iDUIYtRnMcxeJYYWkU3G2UkqNr4YnHJr2k2doTk2sf8A3wK/mQ/4Kv8AxA/aF1L/AIKSfEjXPjFqusWmvaF4vng8MvNugkstLhnZtOa3242J5JjlVl+8zl87mJr9Tf2bv2kp/EHwI8FeKfjD+3jqdv4qvPD1nc+ILSf4hafDsumQM6tEF+TnqvbpxXw0OMMHh8VWhOg1aVrxSu7aXltr95+5ce+FuY8N8MZTjqmYquq0NINu1O6U7UtXeGurSjrZ297T9JVVUG1VAA6AClryr9m3xf4j8ZC91mXWm1PSbqBLi1vxP5sUjP8AMDE4yrKynPynGNuOvPqtfVZZj4Zng44iMXFO+j8nY/FcVh5YWs6bd7BX5x/8HMni744+G/2JtF0z4bTajB4X1bxStt48nsI/lNvs3W8UzjlInmA9AzBFJ5AP6OVzvxb8L/DHxr8MNf8AC3xp07SrvwleaTOniOHW2VbT7HsJlaVnICKqgsXJG3buyMZp5lhZY3AVKEZcrkrX/rp38j6DgnPaPDHFmDzSrR9tGjNScO/TT+8r3j/eSPwK/wCCGHxe8UeDfHnjTwdq37QN94H8Hz6Ol7N9n8QW2nJcamJoo4vnmBLnyfO+VeMAE/w196+N/Av7E3xgj8QeP/i/8RNA8f3lroQi1PxJ4j8VW2o3Wj2CPuTyXDAWYEp3BkCFnbBY5xX2t+yn8Mf2Ufhr8IYNA/Y/0jwpF4Mlvp7iF/Cd5Hd2k1yWCyuZkd/MfKhSSxICBeAoA+bv+Cgv7NfwF+NX7Ql94h+LHwq0nXrzw98M7ObRpr+NiLZzdam5IUMFcFo0OGDD5enJz+d5rw/isuyb2ssS5RVvdV+XV9NfPsfpHEHHuC4n8Ra2Z06NTBxlo3BL23upL3lzQXNJpc3vPl00k1r7t/wTv8S/Fzxh+xP8OfEvx0m1KXxNd+H1e9uNZtxFeXEPmOLaadeMSvbiF2yASzEkAkivZ65z4PMW+EnhZmOSfDliST/17pXR1+mYeDpYeEG72SV3u7Ldn45meLjj8yrYmMFBVJykox2jzNvlXkr2XkFfylfHv4p/tNn9sfXvit8WNa1ey+Kmn+M/tN1dXkYjubHUbeYeUqocqgiMcaoo+QKigfKBX9WtfAXx9/Zx+Bev/taeMfj/AK58LtLuvGenfErw7DYeIZ42aeBFh0VV2gtsyFdgG25GeDnFfJ8ZYeVXD0JKTXvpf+BdfVW09Wfrng14hZfwFisweKwir+2pWW104t+67/8ALufN79rv3Y6MxL3x/wDB/wCKPwug8HfHD9tCbWrLVdJt08T6BqXxNs1trtiiNNBMIShMZcMrIGAZcqcgkHqf2NND8OfDL/goNc/Dv9m7S7bTfC178Opr74m6D4etYl0yy1BZ7dNKndY/lt7qWE3YKjaZIoUchsBq+mv21/D+ia3+yP8AEbRdW0qCe0vPCN7BdQPGNskbxFWU47FSR+NeUf8ABPb4D/Bz9nv4p+PPB3wT+HeneG9MufD+i3Vza6cjYlmNzqi72Z2ZmO1VAyeAOMV51PKsRgeJMLCpiJVG1J3d72Sem70fU+XwXEGHhw/jY8slzpxVJW9ledk5y1+KFk4JQfvRi3Jctn9WUUUV+hn58fhL/wAHPPi7443X7XfhrwT4qn1GPwHa+Fo7rwlbtHttJrpmZbyRSOJJQRErZ5VSvADZb0v/AIJKftFeKdU/Y+sLH40/tn6z4fbSdWm07wzpc3jizszDpUUUKxKscoL7A/nKpb+FQB8oWv1Q/aG/ZY/Z6/av8MWfg39on4UaV4r03Tr37XY2+pI2bebYyF0ZCrLlWIIBweMg4GOv8PeEvC/hLQLHwr4Y8P2dhpumWcVpp9ja26pFbQRqEjjRQMKqqAAB0Ar4zE8MY2vmdXEwxLgpdr39HqtF0P2vNfFTKsw8McBwxHAJVaErub5eXS/vR0b553vNu2t976fLX7P3hjwd8Tda0G48EeMRr1hp3iP+1brWrLU47z7RdJI80jTTJlSzyOS2MHLcYr61pscccS7Yo1UeijFOr28lyn+yMPKm6jm5Scm2rb28327n5BjcX9cqKXLZJWsFeHf8FJvEnxU8IfsPfELxF8GbzVrXXbbSoc3mg2/m3tpYtdQrfTwLgnzY7M3EikAspQEAkCvcaOvWvTr0nWoTpp25k1dbq6tdehWV4yOXZnQxcqaqKnOMnF7S5ZJ8r30drPR6H5ifH34y+C/APiP4GaV8Hv2gY/DcN9rq2yXWia/aRiXwz9jkE8jTSFgkW6C3CyA/M6lQSeK9R8N/EX4Y+LvFOn2n/DUx8Z6jFJI2kaZqHja0vmjlMTq0kUUWGL+U0i55wrNx3H058Df2Mv2WP2afEGu+KvgP8DdA8Mah4lcNrV1plqVa4w7OFGSRGm52OxNq9OPlGPSltbVGDJbRgjoQgr4ajwdjVhvZSxbSd7xSbj/6Ur+eh9Nm/EGT1K1OOBoNxgvjmoxnJtt6qPMly35V7zulfS/KuM/Z48Et4B+F1to8gnD3WoX2oSJcgBka6upbgrjAwAZMAHnGM5NdvRRX2+FoLC4aFFO6ikvuVj4+rUdWrKb6tsKKKK3MwooooAKKKKAPmn/gqx4h8Y+Hv2Y7H+xNU1DT/Dt/450ey+I2o6YoD2vh2Wfbds79YoWPlRyyD7sUj5IXcw+ZPjP8dNI8N/tf/Djw74W/aSfwta33hjV5fF50jxDZ2sX2Hy4pLGSSaTO0tOw8sA/OjMQCoJH6Uaxo+k+IdIutA17TIL2xvrZ7e9s7qISRTxOpV43VgQyspIIPBBIrgv2ev2R/2bP2UdB1Dw1+zx8HtH8K2Wq3a3OpR6fExa5lVdil3kZmIUZwucDcxABY5+Vzfh/E5lmUMTTruCSt1ut/h1W99dV8z7bKOIcnwWSSw+Iw/PVj7RR0jyS9pFR5pt+8pU/ihZSTfL8HK3L54+F3xu0vU9Vl8PeCv2qrvxff3ISWOwbxhbX86CMn5o0hwwGWG7gg/Lmvr/w1Lqc/h6xm1qPZdvaRm5X0faM/rVtLa3ibdHAin1VQKfXblGT18tqznVxEqvMktb6W9Wz5jGYyniYxjGmo27f8Mgooor3TgPMvij+xp+y18avivoXxy+K3wP0HXfFvhryv7E1y/ti01t5UhljHBAcJISyhwwBJxjNekmztCcm1j/74FSUVEaVOEnKMUm99N/XudVfHY3FUqdKtVlKNNWinJtRW9opu0VfWysIqqg2qoAHQAUtFFWcoV+cf/BzJ4u+OXhv9ibRdM+G0+oweF9W8ULbePZ7CP5Tb7N1vFM45SJ5gM9mYIpPIB/Rysb4hfD3wT8WPA+q/DX4keGLTWtB1uye01XS7+LfFcwuMMrD9QRgggEEEA1xZlhJY7A1KEZcrkrX/AK6dH5H0/Bef0OFuKsHm1aiqsKM1JwfVeV9OZfFF9JJM/Af/AIIa/G7xx4T8XeL/AId65+0fqngrwMNK/tAW8Xia30+CTVWlhjVlM4OXMKyZCdQi7ui1+mPgjU/AXxRvtV0vwt8az461jUNOWzurk+JINSu4bb94qIPJ+4gaaRhlfvOeT0r6q+Bf7OPwN/Zn8Br8MfgR8MtL8M6Et3JdHTtOhO155Mb5GZiWdiFUZJJwqjoAB2ccEERzFCik9SqgV8hDg3FSwyo1cW+XrFJuPyvL9PkfU8f8f4Di3i3EZthcIqUZ2SvbmdklzSsrcztrZvtd2uUfCGhR+FvCel+GYpHddO06C1V3ILMI41QE44zx2rRoor7tKysfmDd2Ffk9e/GjUtE/4J6+OfiH8U/irfaX8UBdapN4luL6aGPUrHxcly7W9qsDZCFJILdIYguPs8SMoKjcf1hrzLVv2M/2Wtd/aCtv2qtY+B+g3HxCs0RbfxTJbE3ClYjErEZ2s6xnaHKlgAoBG0Y+f4gyavnEKSp1OTld/wDg+qtp6vVH13C2d5RlUasMfRc05QmuVRbbp8/7t81rQqc/vNXa5YvklsfIWi/GP4eeI/BGn2HxN/bcm1JrvSrca/o+o/Eawa3uJGiUzQyImMoW3AqCOOM19Ufsv+DTba7r3xJdps6rYWVjHuA8t0gkuZN68ZOTckE5I+Uehr177FZ/8+kX/fsVIABwBXPgOG62EzCGKrYmVRxTsmu6tu5M8fF5pDEUp04UlBSd9Nt77WCiiivqTyAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKg1W0l1DTLmwhuWheeB40mTrGWUgMPcZzQB88fs7/8FXf2Iv2pf2hNT/Zl+DfxOu77xLYLfNYyXWhXVtYa2tlN5N4dOu5UEN6IJDtk8pm28nkAmvo6vxU/4JW/s3/tM2H7RP7IX7PHjH9m/wAceFLz9kmy+JEfxQ8Xa34flttIv21W5mWxXTrxvkvxcCVZW8snaAd3Sv2roAKKKKACvDf22f8Agon+zB/wT80rw5q37SXiLV7JPFWp/YdIj0fw9c37F98UZeQwoywxh5oV3uVBaRQMk4r3Kvz7/wCDj/xbq0v7BsXwU8H/AAj8f+LvEHivxdo15ptt4H8DX2sLDDp2rWN1cm4e1jcW/wC6DFN+PMKsFzg4AP0DVgyhh0IyKWua+DvxN0X4zfC/Q/in4c0XW9Nsdd09Lq1sfEmizadfwI3RZ7adVkhfjlHAIrpaACiiigCh4q8T6H4J8L6l4z8T34tdM0iwmvdRumRmEMESGSR8KCThVJwATxwK8P8A2QP+CmX7KX7b3jjxJ8MPgrr3iC28TeFbOC+1Xw74u8JX2jXv2Gc4hvI4byKNpIH4xIBj5l9Rn2rxz4pg8DeCdY8bXWkX+oRaPpVxfSWGlWjT3VysUbSGKGJeZJGC7VQcsxAHWvzl/wCCM3xR1j9qv9sv4sftrftGfBv4m+D/AIs+M9ATTdH8NeKPhlqek6V4V8JWV2Ba6el9dQpFe3sskouJSp7kIoVGoA/S+iiigAooooA+d/2zf+Cov7Jn7BOvWWh/tF6t4ps0uLOK8v8AVdG8E6hqNho9rLP5Ec99dW8LRWiNICq+YwJ2nAr6B03UrDWdOt9X0u7Se1uoEmtp4zlZI2AZWB7ggg1+ZX/BxfYXHxz+F0X7N/gf4FftB698SIrK3v8A4ZS/D3Rbu48J6xfzX0GbbWNhNpKkP2VHKXqhVWUmMnc1fpJ8PYvE8HgDQ4PGtvaxaymj2y6vFZKBCl0Il81YwOAgfcBjtigDYooooAKCQoLMQAByTRXif/BRvwh+0t8Qv2I/iL8P/wBkKKF/iFr2gNp2h+dqiWJVZ5EiuGS4cFYJRbtMUkIO19pwcYoAX9jX/goL+y/+3zF43u/2YfGtxrtr8P8AxZN4d1+9fTpIYWvIxkmB3AE0ZHIkXgggjrXtdfmV/wAG+vws/aS+Cfxb/aZ8B/Fb9iX/AIVB4Xk8e6fL4etV8Rm+t42h0y2tRaWsn2aEXsKxRI5vE+VnZk27lJP6a0AFFFFABXzn8Sv+CoH7Ovwz/aqm/Y4ufCHxK13xlZvpQ1U+EvhtqWq2GmLqJItZLq6tomitkYByXkIAEbknCnH0ZX5Lf8FUPAHxC0r9u1/H/wCwp4E/aZ0v9onXvF/hCCHW9BtbuPwBq2i2wUTm/li/0SSGOCW6R1uT5iyZ2Da2SAfrTRRRQAUUUUAch8fPj18Jf2YPg7r/AMfPjr40tfD3hPwxYG71nVrvJSGPIUABQWdmZlRVUFmZgACSK5/9lL9rj4TftkfDyf4kfCSz8S2draX5s7yw8XeFLzRr6CTy0kUtb3caSbGjkR1cAqwYEGvnf/g4J/Z2+MX7TH/BMvxP4J+B2g6xq2t6V4j0PXZNI8OjdqF5aWWoQzzrbL/HOsatIifxNGAASQKo/wDBDa3/AGg4/h18WLn4iT/FhvhvP8Tpm+Cg+OD3TeJRo32aLzTcfbP9JERufN8sS/NgNj5cUAfctFFFAH//2Q==", "info": {"equation": "58-2=56", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "72947b1c55ce47ba586f3614c539ffd0e2e33b7e660db911faef8f32ecb8a0a3"} +{"episode": 30618, "episode_seed": 3560167393, "split": "train", "timestamp": "2025-10-28T03:46:23.493346", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3560167393, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [5, 5, 2, 8])", "action": "('move', [5, 5, 2, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "10*3=30", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", "info": {"equation": "10*3=30", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "e25884c110bc8bc4fde488dc366c3390fa8426cb6b1dfdab70b009a839b129df"} +{"episode": 30619, "episode_seed": 405414739, "split": "train", "timestamp": "2025-10-28T03:46:23.560465", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 405414739, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 2, 8])", "action": "('move', [3, 4, 2, 8])", "reward": 0.0, "image": 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K/wDy7nze/a792OjOY8RH9mz47axpnhr4kftB2XxLjtL5rjR/DXibxpZ6lbG5EbqJharhZpFjaTBZW2hmIAPI9t/4JS319P8As6a3o+l31zdeDNH+IWr6d8M7mfDRtoMTRrElvICfOto5/tUMLknMUSAEqATpf8FFPg58LvjT8OvB3w/+Kvgiy1vRbrx0kk+n3QYI7JpmoMhyhVhhgDwa6/8AYg8P6H4T/Zm0Dwt4Y0mCw03TbzVLWwsbWMJHbwx6ldIkagdAFAA+lc2UZfWwPEk4VKzqNU73fW7Ss9XsfLYnOaNXhH6qua8qitF25IKKb5o6355NtP3YpK+snL3fWKKKSSRIkaWRwqqCWYnAA9a+42PiTivjv4wXwx4KksorgRz6jmFWJxsjxmRic8YXjPvXn37DPgoXvhjVP2idWswt547ljfRmkhQPDoUO5bFQyu2VlDSXR5HN1ggba479oS/v/wBon4gaT8HfD5uFtPFd5/Z93OhCNbaPGvmahNko4BePMC5H37mPkYyPqSzs7TTrSLT9PtY4III1jgghQKkaKMBVA4AAAAA6V8vljWa5tVzDeEPch/7dL59PI9XFXwmDjh/tS96X6Ikooor6g8o/NL/g568UfGXRP2OvCuh+B5b+Lwnq/i3yvG0lnH+7cJH5lpFMw5WMyqzAfdLxpnkKD8vf8EPfjTquifArxX4Q8cftR6h4L0PTtfibw7psXiu005HeWN3umCyje/Pk5PQE8c5r9bP29PBPhT4kfsyat4C8daDDqmjatreiW+pafc58u4ibVrTKttIOPoQaxP8Agnx8M/h/8LPhR4g+H/w78IWOj6LpnjGeOw06zixHCptLRjjOSSWZiSSSSSSa+FzTLK+N4m5adeUG6d7rpZ2stVo9/U/ZcJ4g5fQ8IHw1LBKVT2/Nz6Wtfm5tr+0/5d7W9n16HydYeCfgd4P+N/wf+Jf7Nc+mal4+1j4uwpJ4j0i6h1HUNdsrl3GvPdzgs00a2plkdzxC6xBdm4K36XV8RfBP4BfBfwr+3LD8b/Dvw30208Xa38S/E9vqmvxoxnniEeqjZySFH7qPO0DOwZzX27XdwjQlQwlZOTf7yS18rK/z6nxXFua08x+qwjKU3CnrKfxNybfKtZe5D7N3dtylaN+VFeRftafCH9ir4r6d4ai/bN0PwVd21jrWfCx8ZX8Vsv21wP3UJkdPMZwozFyG2jKnAx67X4Lf8HN3in4y337bmieE/F81+ng6w8IwT+DYHj22rSSMftcqEcPJ5iIrE/MAkY4GM+nn2YQy3LnVlT51dKz2+f8AW9j2vCbhHE8acZU8BQxbw0lGc/aRb51ZWtCzWrvrqvd5n0sfvItjYooRLOIADAAjGAKlAAGAMAdhX5d/sM/tNanrf7LfgHxZ8bP259UtvEz6Wsuo2GoeP7GIhUmcQrJEw3DMKxZDHccktyTX6Bfs7a94h8ReGbrUtWv5Lu0knV9Pu5JC4lVhuYq38SZIII45PpXFlvE+FzPGRw9OnJNpu7tZW9G/6t3Plc74er5Ji69CpUjP2U5QvHaXLJxuvJ2uvI9Cooor6Y+fCvyP/wCDqTxP8YbLwV8LPCmly38fgO+v7+bWfJjxbzanGsf2ZJXH8Qia4ZEPBwxGSvH64V4B/wAFFfhd8PfjN8J/Dfw7+KXhS21vRL7xtbm8027LCOUpaXbrkoQeGUHg9q8XiKk6uSV0na0b/drb52sfc+G3EmG4S42wea4ij7WFOTvHS/vRcbxvpzRvzRvbVbrc8F/4Nvtb+LGr/wDBOC1tfiNBdLpdh4v1G38FSXNsEEmmYidijAZkQXb3a7j3Ur0UV9815F+wv4W8OeB/2a9K8GeD9Ft9N0rStY1m106wtU2x28KapdKiKPQAfX1r12ujJoOGU0Fe/uR/I8vjLOKWf8V43MaVJU41ak5KK6XfXze8n1bbPJf28vEHxc8K/sZfE3xJ8Bxef8JfZeDL6bQW06HzLhJxETuiXu6jcVwCcgYBOBX8/n/BHn4o+MPBH7Zlubb4x3vhHSNa0e9j8V6xDrMNmZYViaWNXmnBAzcLD0+Yn2Jr+l2vOvgp+yT+zX+zlrHiHX/gd8GdE8NXniu8F14gn0222m8kDOwzkkKoaRyEXCjccAV5md5FiM1xdKrTrcnJfvdeas1r0eq0PteCvEbLuFuCc2ySvg1Vni0lGWllpb3762h8dOydp32vc+E/jV4R/Yv+MXg/xb47+MPxU0nx7d6d4Tkin8Q614ottTvNEtFZnjNrtOLdvPKlSqhpJCqEsCFr7x/ZP1f4na/+y/8ADvXPjXBcxeMLzwTpk3iiO9thDMt+1rGZxJGAAj+YWyoAwcivmX/gpH+z/wDBT4sfFa48U/En4aaZrWoeF/hpJdaBcXsbH7FN51029VBCsd0aH5gR8o4r7VsSWsoWYkkxLkn6Vw8N4Opg81xlOdRzceRNvrdN3er1W258znecUsXw5hMMuZtSlL3rWppe6oU9W7S0c9I6qKUfdu5a/Or/AIOYfE/xi0D9g/TNO+Hs1/F4e1Xxjb23jeWyjyptPLd4UmYcrG1wsXsWCKeoB/RWsP4k/DbwH8YfAeq/DD4n+FrTW9A1uza11XSr6PdFcRN1UjqOcEEYIIBBBANfTZjhZY7A1KEZcrkrX/rp38ji4Mz6hwvxVg82rUvawozUnHTVLtfTmW8f7yR+Hv8AwQz+M2teHfhb428G+Mv2nL/wV4cs9YtZ9BsIfFNppyS3Mscn2pwJQWc7Y7bJ+6O3JNfU+reDPgb4Y+JHw1+L37Od9pusfEvU/jFY/Y/FOmXsOp6prQuZ0TWluJwWMsS6c9w8n8MCohUR55/Q34P/AAP+EnwB+Hth8Kfg34A07w/4d0zzPsOlWEOI4i7tI5+Ykks7MSSSSTXyV4A+AfwZ0T9vCP49aT8ONNg8Zaj8UtWtL3xCqMbiSAWV6uzltqjbGgJUAkLyeTn4LFZBisulhFUxDlepGNtbR843fTpoj9AzPj/AZ7xfmOc0qMqNOopSVONrVLRUVGtqlyz1lUtz3baS15l9v0UUV+lH4wFYXxQ0dfEPw413QJNMS9S+0me3ltHBxMjxlWXjk5UkcVu0VnWp+1pShe101f1KhLkmpdjyb9mDwbJpUuveNphOrat9ltgsi4Urb+cdy8Z6zMCeny9sGvWaKK5ctwSy7AwwylflW+19bmuJrvE15VGrXCvye8cfG3xP4d/Y01Pxr4m+Lt/o3xWl+JZj1W4ubq3h1C18Q/20qPaeXJlYo47dVVRjC2qJIDt+c/rDXnafsmfs3R/tAyftUp8G9EHxDlsvssniv7N/pTReUIuudu7ywI9+N2z5c44rzs+yetm8aSp1OTklf/grzXT1ep9NwvneVZRGqsbR9om4TjZRd5U+b93K+1Opze+1d+6vdfT5b0L4k/DHxX4rsdPj/avfxldx3LvpGkah44tL398Y3TzI4o8M0gjeRe+FduO4+ufgR4ObwH8K9M8Ov5wbfc3TrOAHVri4kuCpAAxgykAdQBzzXVra2qMGS2jBHQhBUlRlORVMtxcsRVrupKS5dV0vfdtnh4vHxxNFU4wUUnfT/hkFMngiuYHtp0DJIhV1PcEYIp9FfRNJqzPO2OV+HPwr0v4dz3lzaX8ly90QqNIgXy4wSQvHU88nvgcCuqoornwuEw+CoKjQjyxWy9dTSrVqV5uc3dhRRRXQZny5/wAFG/E/iLQ/GnwY0zUdautP8E3/AI2uR4juIyqW8t/HZvJpcFzISNkbXALKMgPNHCvJKq3zf4B+P2hL+0R8W/Dr/tg3vhzQNN1bS00+xtfF9jYwLqBsgL9I94LSbSluGJJ2yF04KsB+ifxU+FXw6+N/w+1T4VfFnwhZa94d1qAQ6npOoR7orhAwYZxgghlVgQQQVBBBANQ/Cn4N/C34HfD7TfhV8JfA2n6D4e0eJo9N0qwhxFArOztjOSSWZmJJJJYkkk18nmXDuLx2aPFU8Q6acUtL3XktVo999+h9nh+IMoo8OrCzw/NXS5L2jy8vtPae0v8AF7T/AJd2tbk+19k8D/ZY0Hwr438YaD4t8GeLv7esNFv72/k1q11KO8W6upYbiKVpZkyrOzXMjEDB3DoACK+oqRI44l2xoFHooxS162T5X/ZOFdFzc25OTbVtXbzfbufL4zFfW6qny2srWCvPvj7+yn+zp+1LaaPY/tCfCHR/FkWgXxu9HTVoC32aUgBiuCMqwVdynKttXIOBXoNFenUp06sHGaTT6PVEYTF4vAYiNfDVJU5x2lFuMldWdmrNaO3oRLY2KKESziAAwAIxgCpQABgDAHYUUVZzhRRRQAV55+0roq6v4HtLh9KW5+waqlyshBJt2EcieYMezspzxhjXodHXrXJj8J9ewVTD83LzJq/Y2w9X2FaNS17O5xvwB8IN4J+FljoziYPLdXl7Is4wytc3UtwVxgYAMuADzgDPNdlRRWmGoLDYaFFO6ikvuViKs3VqSm+rb+8KKKK3IPDP2pPh3/wm/idNMXSZA2uaE2ktfWykyFHaTKZOVG3zGYcdyTkCvcYIhDAkIOQiBefYU6ivNweXRwmMr4jmu6rTt2srfM6a2JdajTp2ty3+dwooor0jmCvCdE+GovP2jUvxpUtmumeIbnWG8hSEkeSCeLexbPD+cW4x8w46EV7tRXm5hlyx9SjJyt7Oal626HTh8S8PGaSvzK3oFFFFekcwUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFch8fPjv8K/2Yvg34h+Pvxt8VRaJ4V8Lac17rOpSoz+VGCAAqqCzuzFUVFBLMygAk119fJv/Bb34K/E/wCPP/BNnxx4O+D3hK88Q65p+p6Fr0Xh3To99xqkGm6xZ309tEn8cjQ28m1OrMFUcmgD2T9kv9rz4H/tr/Cg/GH4Da7e3Wmwatc6Xqdlq2lTWF9pl/bsFmtbq2nVZIJVypKMAcOp6EV6dXxd/wAEbfC3j/UIP2gv2l/Ffw18SeD9H+Mfx71HxN4N0DxdpEmn6iNMFjZWiXM9rJh7d5ZLaRtjgNtCk9RX2jQAUUUUAeN/tlft4/s5/sG+F9A8W/tE6/qdla+Jddi0nSV0rQ7i+d7iRlUFxCjCKMF0BdyFy6jkkCvZK+GP+DhHxZqVr/wT/ufhr4a+FnjrxXrXifxfoLabY+CPBd7rDxrZavZXs7zC1jcwr5MEhVmwGYBRya+yvhj8QNK+K/w50P4m6FpWrWFl4g0qDULSy17SpbG9gjljDqk9vMFkglAOGjcBlIIIBFAG7RRRQAV4F8Sv+Cl/7Jvwi/as0L9jn4heKda07xZ4i1G203Tb2bwte/2Q2o3MJmt7BtR8r7MLqSMBli37sEZxmvfa/OP9u7413/xq/wCCrnwh/ZR+KfwV+KVv8K/hh4k0nxcviHw98MtT1Kx8TeLpDs02F72CFobSxshOZ55XbmTCNtWNmoA/RyiiigAooooA8C/Z2/4KWfsq/tQfH7xF+zN8Mdd8QxeLvDmmPqb2PiHwjfaYmpaelybVr2ykuYkW7txMNnmx5UkjGRzXvtfmr+wdpXin4gf8FpPiJ+0n8Mfgp8adA8Fax8KJrD4gXfxr0e5h+xeIhq4lgsNGe6LFbQRGd2jtmNtnYV7V+lVABRRRQBHdXVtY2sl7e3CRQwxl5ZZGAVFAyWJPQAc5ryn9jH9tr9nv9vv4Qz/HT9mbxRc6z4Zg1+80cahc6fJbebcWzKshRZACyfMCrjgg1if8FL/h/wDtC/Fj9h34gfC79lzRIdS8YeI9Mi0230+bXE0w3NlNcxR38SXbqy28jWbXKpIVbazKdpIxXz1/wb5eCvj38Nv2fvi54H+Nv7K7/CiCH4/+KLrw9obaoblPs811looCYIvMtoSqxxXKgpcIBIoUcUAffVFFFABXjX7Yn7dPwV/Yh03wve/F3SPF+p3PjLWpdK8OaR4I8IXet315cx20ly6rb2iPIQsMUjkgcBSe1ey18O/8FyPBHw08T/Bnwr4i8c+Cf2gL/WPD15qt54F1j9ny1u31HS9bfTpbeBp3s/38UcgmdAw/dn5hIQpwQD7M8A+MtO+IngbRviBpGnalZ2muaVb39taaxp0lndwxzRrIqTwSgSQygMA0bgMrAggEGtavJP2CU/aEj/Yo+FKftYNcH4lDwFpf/Cbm8Kmf+0vsyed5u35fN3Z34437q9boAKKKKAPEfjZ/wUM/Zi+AX7Q3hn9lvx14j1ifxn4ngguY9O0Lw1eaiml2s9x9mgur+W3jdLGCSfMaySlVLA84Ga9ur8ef+CiPwC/bI8F/8FjdU+NX7P8ApXxhXXPiAPh2nw41fwOLn/hGfKsNReLXbbX2j/crElk8sqJP8p+0MUy/T9hqACiiigAr5r+Bf/BVT9mj4/ftPN+yD4c8LfEnQ/G50m91O3svGnw21LR4bqztJVimniluokWSPe6gMuQSwwea+lK+PP2TfAXjn4q/8FTf2if2v/iD4M1fTNL8M6bo/wALvhnLrGnS2/2qxto/7R1S6g8xR5kMt7coiyplX+ynBOKAPsOiiigD/9k=", 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", 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", "info": {"equation": "16*9=144", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "16*9=144", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "8fcf5a7be6191cff5c9c4c1cea6dc96cc2a7d1c949b9d69174975089c9cbef90"} +{"episode": 30620, "episode_seed": 212940714, "split": "train", "timestamp": "2025-10-28T03:46:23.623775", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 212940714, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 4])", "action": "('move', [7, 6, 0, 4])", "reward": 0.0, "image": 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", 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", "info": {"equation": "6*20=120", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", "info": {"equation": "6*20=120", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "367778f1cd05ffa3a612448666a468320c57a577e30f0fae5beed194dae10379"} +{"episode": 30621, "episode_seed": 3027494281, "split": "train", "timestamp": "2025-10-28T03:46:23.673629", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3027494281, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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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", "info": {"equation": "19*7=133", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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+xBIrjzCk6+Bq007Xi1f5HucMZrTyPiLCZjUpKpGjUhNwe0lGSdv8vM/J3/g1X1r4rD4ifFXw5bW9y3gc6LZ3N5KbceSmrCbZCBJ1DtAZ8qOoRScYGf2gr5h/4J3/AAT+E3wD1/x34G+DXgKw8O6S0Gk3L2Wnq215mN4GdixLMSFUZJPCgdBX09XlcLRccio63vd/i9D6bxS4nwvGHHGKzTD0fZQnypLS75Ypc0racztrbyV3uFfy8+Nviz+05Yf8FMNQ+JvjjxTq2kfEuD4lPHfahclILixk8/7OVHmfJEiQ/IufkWMDHygGv6hq8gi+Dn7Eo/a9m+KkPh/wSfjW2jfvpxfQnWfsXliLzTBv3BfLxH5uzOz5d2DijP8AKKuaxpKFXk5ZX/4K810+ep7PhVx/g+BVmXt8F9Y+sUXFaJ8tr6Sv/wAupX9//DHRnyx4hP7Nnx11jTPDfxI/aDsviXHZ3zXGj+GvE3jSz1K2Nz5bqJharhZpFjaQAsrbQzEAHke0f8Emibb9m7XNA8ONI/gjSPiNrVl8NJjGvlPoiSoVEDrnzrdLlruOKQk7o415YYY6/wDwUU+Dnwu+NPw68HfD/wCKvgiy1vRbrx0kk+n3QYI7JpmoMhyhVhhgDwa6/wDYg8P6H4T/AGZtA8LeGNJgsNN0281S1sLG1jCR28MepXSJGoHQBQAPpXkZRl9bA8SThUrOo1Tvd9btKz1ex81ic5o1OEXhVzXlUVou3JBRTfNHW/PJtp+7FJX1k5e76xRRSSSJEjSyOFVQSzE4AHrX3Gx8SeZftMQaKuiWF7dSiO8WdlhbAwYsZfcT0UcHPr9a8w/4JzeJPCnxIufHnxRW1kTXL/U7WG3S6hiV00EQ79OeMpI5aGbdcT7jtzI8i7f3YNU/2hr6+/aL8f6T8HPD7XK2fiy7On3c8bCN7bR418zUJtxRgrPHmFcjO+5j5GMjRsPB+pfBT9qDR9c8NQww6eLdtE1i0DpGsulyHfaupKctBLjC7lASWfGThT+d08ZT/wBYP7T5V7GUvZqXnb4vntfsfRyoy/s/6tf30ua3lfb+up9MUUUV+iHzgVmeNJ9ftfB2rXXhSHzNUj0ydtNj2g77gRsYxg8HLY4PFadFJq6sVCXJNSte3R7M/mr/AOCYvjn9pe//AOCu/gTxSJdYu/G+q/EKRPG7XdrvuWt5ZHXVTOrj5NsJnLcDZt4wVAr+lSviP4LfAT4NeGP25ovjjoHw50628Xa58S/E9vqviBEY3FxEI9VG0kkhR+7jztAztGc19uV8pwjQdDCVouTdqklr5W1+fU/WfF/jnBcd5zhMVhsL7BU6EItaXbu3bT7Mb2h1trZXsivIv2tPhD+xV8V9O8NRftm6H4Ku7ax1rPhY+Mr+K2X7a4H7qEyOnmM4UZi5DbRlTgY9dr8Fv+Dm7xT8Zb79tzRPCfi+a/TwdYeEYJ/BsDx7bVpJGP2uVCOHk8xEVifmASMcDGfTz7MIZblzqyp86ulZ7fP+t7HneE3COJ404yp4Chi3hpKM5+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+vm95Pq22eS/t5eIPi54V/Yy+JviT4Di8/wCEvsvBl9NoLadD5lwk4iJ3RL3dRuK4BOQMAnAr8AP+CO3xe8e+Bf2wI9Ps/jfqfg/QNf0y7PjHUYNdisluEjhkkgMks+VLfaCmD9752A4Zq/pZrx79mT4MfsQfDXxJ41vv2UPDnge21TUNYx46/wCEVvYZ5I7xXlPlXCo7eQys0uIsKAd2FGK8vO8kr5njKNSnX9nyprrf1jqtej12PueCPEHBcM8DZxk9XA+2lilG07K0b+777aekfip7+/2vc+L/AI1eEf2L/jF4P8W+O/jD8VNJ8e3eneE5Ip/EOteKLbU7zRLRWZ4za7Ti3bzypUqoaSQqhLAha+8f2T9X+J2v/sv/AA71z41wXMXjC88E6ZN4ojvbYQzLftaxmcSRgAI/mFsqAMHIr5l/4KR/s/8AwU+LHxWuPFPxJ+Gmma1qHhf4aSXWgXF7Gx+xTeddNvVQQrHdGh+YEfKOK+1bElrKFmJJMS5J+lcXDeDqYPNcZTnUc3HkTb63Td3q9VtufK53nFLF8OYTDLmbUpS961qaXuqFPVu0tHPSOqilH3buWvzq/wCDmHxR8YvD/wCwhpmnfD2a/i8Par4wt7bxvLZR/KbTy3eGOZhysbXCxexYIp6gH9Fa5j40eFfhN42+E/iDwt8d7DSLnwdeaXKviSPXpVjsxaBdztK7kCNVA3b8jbtDAgjNfS5lhZY3AVKEZcrkmr/107+Rx8FZ5S4a4swWaVaPto0akZOHV+n95bx/vJH4mf8ABDr45+J9H+FHjDwN48/an1Xwd4Z0rU7Z/DGmr4ttdPi86YTNdmNZgWIyISQPlBYkcs1fUereDPgb4Y+JHw1+L37Od9pusfEvU/jFY/Y/FOmXsOp6prQuZ0TWluJwWMsS6c9w8n8MCohUR55+/P2c/h9+zv8AD/4N6N4Y/Zh0jw7D4HhSV9EHhq4juLNw0rtI6SozCTMhfLbic554r5b8AfAP4M6J+3hH8etJ+HGmweMtR+KWrWl74hVGNxJALK9XZy21RtjQEqASF5PJz8FichxOAeE58S5J1IJLW0b9Y6/doj9BzbjzB5zxlmWbQoSoRmpP2aS/eWSjy1ldJKesqmk9W4pa8y+36KKK/Sz8WCsL4oaOviH4ca7oEmmJepfaTPby2jg4mR4yrLxycqSOK3aKzrU/a0pQva6av6lQlyTUux5N+zB4Nk0qXXvG0wnVtW+y2wWRcKVt/OO5eM9ZmBPT5e2DXrNFFcuW4JZdgYYZSvyrfa+tzXE13ia8qjVrhX8v3iv40ftV6D/wUy1P4o+KvG2t6D8TV+IkttqWpPMtrcWZaY2zxZf5I4lgPlgH92IwB92v6ga88T9k79m+P9oCT9qlPg5oo+Ictl9kk8V/Zz9qaLyxFjOdu7ywI9+N2z5c44rzs+yevm8aSp1OTklfr96t1XT1ep+oeF3iJl3AKzFYrBqv9ZouEdtHr7sr/wDLud/ftd+7HRny1oXxJ+GPivxXY6fH+1e/jK7juXfSNI1DxxaXv74xunmRxR4ZpBG8i98K7cdx9c/Ajwc3gP4V6Z4dfzg2+5unWcAOrXFxJcFSABjBlIA6gDnmurW1tUYMltGCOhCCpKjKciqZbi5YirXdSUly6rpe+7bPznF4+OJoqnGCik76f8Mgpk8EVzA9tOgZJEKup7gjBFPor6JpNWZ52xyvw5+Fel/Due8ubS/kuXuiFRpEC+XGCSF46nnk98DgU3xj8JNH8ZeKrLxPeXskZtgongVAROqsWUZ/h5OD1yPTrXWUV539k5d9UWF9mvZp3S13vf13/wAtjo+t4j2zq83vPS4UUUV6JzhRRRQB4T4K+G7TftDrqp0qSzXRtc1DVWWFSI3kuIrmMsxYHIc3LvwRk9OARXu1FFebleXLLaM4KXNzScrvzOnFYl4mala1kl9wV598ff2U/wBnT9qW00ex/aE+EOj+LItAvjd6OmrQFvs0pADFcEZVgq7lOVbauQcCvQaK76lOnVg4zSafR6oWExeLwGIjXw1SVOcdpRbjJXVnZqzWjt6ES2NiihEs4gAMACMYAqUAAYAwB2FFFWc4UUUUAFeeftK6Kur+B7S4fSlufsGqpcrIQSbdhHInmDHs7Kc8YY16HR161yY/CfXsFUw/Ny8yav2NsPV9hWjUtezucb8AfCDeCfhZY6M4mDy3V5eyLOMMrXN1LcFcYGADLgA84AzzXZUUVphqCw2GhRTuopL7lYirN1akpvq2/vPJf28vEHxc8K/sZfE3xJ8Bxef8JfZeDL6bQW06HzLhJxETuiXu6jcVwCcgYBOBX4Af8Edvi9498C/tgR6fZ/G/U/B+ga/pl2fGOowa7FZLcJHDJJAZJZ8qW+0FMH73zsBwzV/SzXnXwU/ZJ/Zr/Zy1jxDr/wADvgzonhq88V3guvEE+m2203kgZ2GckhVDSOQi4UbjgCvBzvI8TmmLpVaVZ0+RNaXur9VZrV7PVaH6vwV4jZdwtwTm2SV8Gqs8Wkoy0stLe/fW0Pjp2TtO+17nzF4Pl8BfGi61Xwr4d+OknjnVdW0z7Bc3B8T2+o3VravvUBREMIgaRmyVxk8ntX3BBEIYEhByEQLz7Ckjt4IjuihRT6qoFPrpybJp5VKrKdV1JTtdtdr+bvufmeNxqxailDlUb7ef3BX51f8ABzD4o+MXh/8AYQ0zTvh7NfxeHtV8YW9t43lso/lNp5bvDHMw5WNrhYvYsEU9QD+itYfxJ+G3gP4w+A9V+GHxP8LWmt6Brdm1rqulX0e6K4ibqpHUc4IIwQQCCCAa78xwssdgalCMuVyVr/107+R7PBmfUOF+KsHm1al7WFGak46apdr6cy3j/eSPxB/4IdfHPxPo/wAKPGHgbx5+1Pqvg7wzpWp2z+GNNXxba6fF50wma7MazAsRkQkgfKCxI5Zq/TH9mHQ/CPxA8X6H4j8GeN/+EitNH1i51G61u21SK9+03TQTxP50yZUuftBJAweB2r3/AOD/AMD/AISfAH4e2Hwp+DfgDTvD/h3TPM+w6VYQ4jiLu0jn5iSSzsxJJJJNdRHHHEu2KNVHooxXzGD4UxFGpRnVxTkqbUuWztddFd6fdse3x1xphOK+JsbmeGwqpRrvRaXtZRvKy+KVuaWr95vV7jqKKK+0Pz0KKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACuQ+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": "19*7=133", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "a5a219fcc245b28de24eab2386dcd0b442dc39fc96f230cef3c8b46bf0776072"} +{"episode": 30622, "episode_seed": 2821474767, "split": "train", "timestamp": "2025-10-28T03:46:23.728839", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2821474767, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 1])", "action": "('move', [0, 5, 1, 1])", "reward": 0.0, "image": 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", 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", 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+ul7S1W2y0elj9ozbxDwWd5RkGXQwssPLCQ5JVYpcz1UXKnrG9+VyleUbzlJX0u6f/BLh5o/2S7XStNaR/DOm+KNasvAkrxqFfQor+ZLPyyv+shEY2xvzvjVGywIY/RNeZ/sc6NpPhz9mjwn4e0DTobOwsLKS2srS3QLHBDHPIiRqB0VVAAHoK9Mr7PLIuGXUYt3tGOvyR+UZ5jIZhnOIxMY8qnOTt6t7+ffzPyN/4OqfEfxYtfB/wn8LafLep4IvL/UZ9VEUf+jy6nGkQthIw/iET3BVT1BcjOOKf/BPL4oeG/Hn/BP/AMLeBf2iP2sru0tZ9LudKuvCd547tLGB9JSV4YbZ4gVkWJoFCEFgWQ8nmv02/as+Hf7LnxN+D114d/bCsPDE/gpLyCe5bxbfpa2kVwr4ifzndBG+5toIYE7ivIYgr8efCvg6D9lLxl4Y0fQ7FNGT4fahaWtnbRKIBaixkRY0C8BNmAAOMdK+bzPh/E4rMK2JhiXBOK0V76K1nqtNPz0P0mfiDhJ+G+XcPLB8tShWlP22murfuvfn99c2qsow1193wX/gnH4c8LeAv2gfi34E+DGiWWneCItP0K8u7DRrOKOwttfkS5S5WMxjAka0i095Ix93KNgb+fsGvnT/AIJ3/CD4YfAzw74y+Hvwh8E2Xh/RYdft549PsFbZ5sllCXcliWZjgckngAdABX0XXq8MwcMjoK99L/e2/wAD4PivHU8wz2rWp3atGN5fFLlhGPNKzdpStdq8rXtzS3fx1/wXm8SfFjwx/wAEyfHl38JZb2KS4eztfEE2nx5kTSpZ1S5yRyqMpCOR/A7Z4JNfmV/wRK8bfELVfAPxX8Dax4lu5vDOi+Dry40TT5ZwYrK5nA+0vGOqbxFAT/DlM9d2f3s8UeGPD3jXw1qHg7xbo9vqOlatZS2epWF3GHiuYJUKSRup6qysQR6Gvk79oH4FfCH9nHwlp3wo+B3gGw8N+HrLwF4klttL05CEV5JbV3cliWZix6kk9B0AFeFxbldWonjlUtGMUnHv7y/DW/ql8vu+G+O8Dg/DvEcKywqdWtWVRVdNElFvz5lycqtpyzlqrWl6p+yF471Lx3pI1Oy8dP4l0c6XEsWsf2gt0k0qYTIlT5GY7W3Y7jkZzXtdV9JRI9Lt1jQKPITgDHYVYr6rK8FPL8GqM6jm7t3e+rv3f5n5Viq8cRWc1HlXZHM/Gm+8b6X8HPFmp/DO2ebxJb+Gb+Xw/DHCJGe+W3cwKFbhiZAgweD0r+df/gkh8W/iF4c/boutT8SfGrVPCkfiDTdSPjfW5NZispp2w0wEs1wDhmuhGSPvEk9s1/SdXx1+w98DfhD8O/2mdc8deCfh5p2m6z4s03xDdeJNRhjYy38w1i3IZyxOOXY4XAy3SvA4lwVTF47CRhUcG3JXXTS91qtdLH6fwJxxgeGuEc6yythVVlioRUZO2lm171+i5uaNtppd7rwX44aN8ENX0S4+Ovw28cWfjT4r2nifQ/8AhEvFX9s22r6uNWS6RLGyiYEhY3BmDQKArI00jAlS6/p/Xxz8efgd8Ide/bu07416z8PtOufFehax4VtdH1yVGM1pC94NyoM7RnzH5xn5jg19jVfDGFnhKuKhKbm1O131st+urvr6HyvEWa08dl2Coxcm4Rk25dOblSpx1fuQULx+HWUrRW7K/nA/bt+KH7ROj/8ABafxP4v8QeJ9U0jxNo/xOS08O30pSB7HS1lEdm0Rf5EjNo6OGPBEhc8sTX9H9eVa/wDCX9j3UP2r9H+J/iTQfBz/ABjttAePRZ7m8iGrnT/3qM8cBfc6ANMnmbDgFl3YGK78+yupmtCnCFTk5ZJ3/wAvNdD6Twt44wnA+Nx1avg/rCrYedNKydm7P3r/APLt2tPys9bWPkHx7pn7I/x3d1+NPxy0r4kW2kaZfPBbeKfGlpqEWmWzxj7TdRxoVEbCNRmcjdGASrLkk/W37BOvfEPxP+xp8ONf+Kl1qNxrl14Wt3ubrV4RHd3EeD5Msy8YleHy3bIB3MSQDkV5z/wUf+Bfwf8AjfJ4L8PfFv4eadr9jYrqt9aWl9G2xLhIoAr4UjdgMwwcg55Br334K/8AJHPCXA/5Fmw6D/p3jry8hwNXBZ1iYVKrm1GF2+t9e72tZHz2Z5vSxHDFDCrmb53Kzty01G6tT1fxuXNPSKvGPxbrpq8r/aj+FH7H/wAUbLwvF+1zong+7gsfEcT+E/8AhLb2KBTqTA7I4TI6+a7gf6r5g+0ZU4GPVK/Db/g6M8UfF0ftWeAfDOp3V/F4NtfBn2zw4oUrA2otcyrdurD70ioloD3UFcY3c+1nmPhl2XSrShzq6Vntq+v9b2PV8K+FMRxnxnRy6jinhpOM5e0jfmXLF6Rs1dvZ6r3eZ9LH7i/ZLUNuFtHnPXYKkr83v2O/2lr7XPgn8PvEvxO/bX1C78Xah4ftG1bRtR8d2R826lj2+W8AAfcdw+XO7djvX3/8J7vXL3wDp9z4haRrlkb55s72TcdpbPOduPrXLlXEWGzfEujSpyVle7t3Sto33PlM3yWtk9epSqTjLkm4Xi7p2bV15O2h0VFFFfQninj3/BQTxB8VvCn7EfxS8SfA97xPFdl4KvpdGk06PfcRyCI5eIdd6puZccggEZOK/J3/AINZtb+J6ftO/EjQ9MS6fwjc+C4rjXpBAGiXUEu0Fnuc8q5jkvcD+IBifu1+31+xWxmZTyImI/I18j/8EwPgl8Jfgnf6zafCfwDYaDHrfg7Q9Q1YWKtm6uma6BkcsSSfboMnAGTXzGaUJS4hwU+Zr49PRX/G9n5H6nwxxrg8n8OM4yKphlOeJdNxnppZr4uvu25oW2k29Ov17Xh//BSvxH8WPCP7BXxW8SfA571PE9n4Oun06XTY91xEuAJpIx1DrCZGBHIK5HIFe4VR8TFh4b1Ar1FjLj/vg19FXpurQlBO101ftdbn53leMjl2Z0MXKCmqc4ycXtLlknyvydrPyP58f+CGXxg8TeDPiR4z8Gap+0NqPgjwjcaIl9cJB4kt9Pin1FZo44jmYHLeUZsheoUbvurX68fsrWHhTx/460vxb4R+IB8UQ6TqNze3uuxatFfG4uWtZLciaaPKlgky/KMEBV7A5zP+CYvwL+D3wSGv6L8Jvh3puhWup+FvD9/qEVlGx+0XL/bQ0jFySTgAYzgdgK+tY4o4htijVR6KMV8Fw/kNbE4bD4uWIlyxfModLxb21t+HU/RvFDjfB8WcW4rH4bDezjUUY625naCV5W0bfrsl2HUUUV+hH5UfzT/s+fFz4/6X/wAFa/8AhNvif8RdW8MeLdQ8e31p441ee7isp7SFpHS6jZ5RshVY1KAdFCqF6LX6PftEaN+yv8Ufhv4v+I/jL4vWXjvxFofhKX+yNev/ABLbarqGiujGS1NkqHEMrXflbdq7pZNkZ3AhD9++Hv2Xv2fPCnxv1v8AaS8O/CXR7Tx14jsltNb8TRW/+k3cIEY2sc4GRDFkgAtsGScV85/8FEfgb8IPiV8XNL8X+Pfh7p2q6n4U8HPeeHbu7jYmwnN0T5iAEKTlEI3A4KgjFfmeZ8OYrAYCpVliW48yfLrZ3kkm9d+r0+Z+9cQeJ+WcV8U4HG0MNLDRo0YwlycvM3BOTirNL2d/cV3pHVxfwH1T8JbzxjqPwq8M6h8RbZofEE/h+yk12FowhjvGgQzKVHCkSFhgcCugoor9LiuWKR+E1qiq1ZTSSu27LZX6LyR/Pj/wX9+JP7QGgf8ABVe61W61zVtOHhaw0e4+GlzHmL7NCIo5vPtyOp+2/aMv13R7TwgA/RT4Z/FLwf4zi8NQeJf2rZfFeutawSjQb/xvZ3Y+3tb4kKQRYJdd0oAGcAnivr/4kfsxfAD4wfEfwt8Xfib8KNI1rxL4KnM3hbWL2AtNp8hZX3IQcHDKrDcDtYZGDzXbra2qNvS2jBHQhBXxeI4UxeIxNef1pxjUbdld3T6PVLTZb6H6txR4j5dn3DWT5bSwShPBU3CUtPefuq8bK9ny88r688n2u+b+C3hI+B/hbo3hljLugti7CfG8NI7SEHAGMFyMe1dRRRX2FCkqFGNNfZSX3Kx+Tzk5zcu5+Rv/AAdUeI/ixa+DvhP4V0+W9TwRe3+oz6qIk/0eXU40iFsJGH8Qie4KqeuXIzjiT/gnF8d08U/sQ+ENP+Pn7Y1/bXH2K40+Tw7qXjqzt4zpkcrwwQPC3z+WYFVcEhivfkGv09+Ov7PvwX/aa8ASfC749fDvT/E+gS3UVy2m6kjFBNGSUkUqQysMkZBHDEdCRXSaN4a8PeHtHtPD+haJa2ljYW0dvZWlvAqRwRIoVEVQMBVUAADoBXy2P4bxeMzKpiYYl01JJWV76K1t1p1+bP1TE+IeXV/DTA8MrBL2tCrObqaWafM1bRvmfNaV9LQjvtHz39mDwuNK0DV/FAaT/ieahHMu7GwrHBHEGTjkHb159q9PoAAGAKK+iy/BrAYKnh078qtfufl+IrPEV5VLWuFeNftVeBX8bXWm6cNLdjfadd6Yt5ApMiLcbA6DqB9xWGR/CewNey0VnmmAWZ4KWHcuVO2vo0/0KwuIeFrqole1/wAhltCLe3jt1JIRAoJ9hin0UV6BznL/ABuv/HOlfBfxfqnwwtnm8S23hfUJfDsMUIkaS+W2kMChW4YmQIMHg9K/N6z+N/hbw3c/AGx8KftM32gRav4av38QamviC1trm6s/sKNJLdSzZMcp1GOFWHBMvnKR8jBf1JrgfhZ+y3+zz8EvGXin4hfCj4R6NoWteNr77Z4p1GxtsSajPvkfe+SQPnlkbC4BLk4zXzud5LiM1r0Z06zp8l9r316rVa9N9j6vIs7yzLstxFHE0eecruGkbNuMoWm3qlHm54WT95WaV+aPz78BI/BvxZ8a2jeFvi7J40nt9dsb3VNWXX4NRnjFtKs0UcjxfKifuyACATubByePsCmxwww58qJVz12rinV1ZNlUsqpTjKq6jk7tv0S7v8zwMZi1i5xajypK1gr+cX9uP4u/tK+Gf+C1XinxpqfjLWNC8UaT8SRYeH9Q81baSz0gyCG18st8iRNZyKdx+VllZm+81f0dVwerfswfs/a78d9P/ad1j4TaPcePtL002Fh4okt83MNuRIpQHOM7ZZF3EbgrEZxxWee5TWzajThTqcjjJO/9dV0P0Lwx48wHAeMxtbFYVV1XoTpJaaN2aTv9iVrTS1tbR2sfLHhbxj8PfiD4pGj6N+0pL461R7WaHT7C48YW2oywo+BI0UUIDZIC5ODwBX2h4L0FPCvg7SfC8buy6bpkFqrSEFiI41TJxxnjtWgltbxtujt0U+qoBT6nJ8lqZXVqVKlZ1JTtq/K/m77nwGMxscVCMYwUVG+3n8kFcJ8cf2Y/gD+0tb6LafHn4U6R4pj8O6ouo6KmqwFxa3IGN64IyCMZU5VsDIOBXd0V7c4QqRcZpNdnqc+FxWKwVdV8PUcJraUW4tdNGrNaaEf2S1DbhbR5z12CpKKKswCiiigCK9WR7OVIY1dzEwRGPDHHAPtXkH7LXgBPDmp6vrkdhNaIun2mlQ2rKQkaW7TMFGRnI83aeew717JRXn4jALEY+jiXK3s+bTvzK34HRTxDp4edK3xW19HcK8c/4KDa5498N/sXfETW/hreajbarB4ecm70eHzLu2tS6C6mhH/PRLYzOpGSCoI5Ar2OkkjjljaKVAysCGVhkEHsa669N1qEqadrpq/a63NcuxUMBmFHEygpqnOMnF7SUWnZ76O1noz819a+N/gzw7+1BpPhHwj+1G/hXw7J8LRc366R4qs7W3lIu4v7MbzZNxctBLeMqg4KbX6EE/VH7JnxHuvHGqQp4b+K0vjHSba3lhu9UbWI74bwdwDyxfJ5gLgY4O0j0FeifAj9l79nz9mPw9f+FPgF8JdH8LadqepPqF/a6Xb7VmuGVVLncSfuqoCj5VA4Aru44o4htijVR6KMV8llvC+Mwc6Up4p2g78qvy+m/Xrp3PczvOcrxVVwwVH3FFRUpJKcurlJRur3dklJ2SSu7DqKKK+yPlgrxb9pj4eDxz4u07TBpkgOq6cdPa9t1PmbDISy5OVG0HcMjuSeBXtNFefmeAWZYR0HLlV07+jTOjC4h4ar7RK+/wCKCiiivQOcKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACvH/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": "39+85=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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+ul7S1W2y0elj9ozbxDwWd5RkGXQwssPLCQ5JVYpcz1UXKnrG9+VyleUbzlJX0u6f/BLh5o/2S7XStNaR/DOm+KNasvAkrxqFfQor+ZLPyyv+shEY2xvzvjVGywIY/RNeZ/sc6NpPhz9mjwn4e0DTobOwsLKS2srS3QLHBDHPIiRqB0VVAAHoK9Mr7PLIuGXUYt3tGOvyR+UZ5jIZhnOIxMY8qnOTt6t7+ffzPyN/4OqfEfxYtfB/wn8LafLep4IvL/UZ9VEUf+jy6nGkQthIw/iET3BVT1BcjOOKf/BPL4oeG/Hn/BP/AMLeBf2iP2sru0tZ9LudKuvCd547tLGB9JSV4YbZ4gVkWJoFCEFgWQ8nmv02/as+Hf7LnxN+D114d/bCsPDE/gpLyCe5bxbfpa2kVwr4ifzndBG+5toIYE7ivIYgr8efCvg6D9lLxl4Y0fQ7FNGT4fahaWtnbRKIBaixkRY0C8BNmAAOMdK+bzPh/E4rMK2JhiXBOK0V76K1nqtNPz0P0mfiDhJ+G+XcPLB8tShWlP22murfuvfn99c2qsow1193wX/gnH4c8LeAv2gfi34E+DGiWWneCItP0K8u7DRrOKOwttfkS5S5WMxjAka0i095Ix93KNgb+fsGvnT/AIJ3/CD4YfAzw74y+Hvwh8E2Xh/RYdft549PsFbZ5sllCXcliWZjgckngAdABX0XXq8MwcMjoK99L/e2/wAD4PivHU8wz2rWp3atGN5fFLlhGPNKzdpStdq8rXtzS3fx1/wXm8SfFjwx/wAEyfHl38JZb2KS4eztfEE2nx5kTSpZ1S5yRyqMpCOR/A7Z4JNfmV/wRK8bfELVfAPxX8Dax4lu5vDOi+Dry40TT5ZwYrK5nA+0vGOqbxFAT/DlM9d2f3s8UeGPD3jXw1qHg7xbo9vqOlatZS2epWF3GHiuYJUKSRup6qysQR6Gvk79oH4FfCH9nHwlp3wo+B3gGw8N+HrLwF4klttL05CEV5JbV3cliWZix6kk9B0AFeFxbldWonjlUtGMUnHv7y/DW/ql8vu+G+O8Dg/DvEcKywqdWtWVRVdNElFvz5lycqtpyzlqrWl6p+yF471Lx3pI1Oy8dP4l0c6XEsWsf2gt0k0qYTIlT5GY7W3Y7jkZzXtdV9JRI9Lt1jQKPITgDHYVYr6rK8FPL8GqM6jm7t3e+rv3f5n5Viq8cRWc1HlXZHM/Gm+8b6X8HPFmp/DO2ebxJb+Gb+Xw/DHCJGe+W3cwKFbhiZAgweD0r+df/gkh8W/iF4c/boutT8SfGrVPCkfiDTdSPjfW5NZispp2w0wEs1wDhmuhGSPvEk9s1/SdXx1+w98DfhD8O/2mdc8deCfh5p2m6z4s03xDdeJNRhjYy38w1i3IZyxOOXY4XAy3SvA4lwVTF47CRhUcG3JXXTS91qtdLH6fwJxxgeGuEc6yythVVlioRUZO2lm171+i5uaNtppd7rwX44aN8ENX0S4+Ovw28cWfjT4r2nifQ/8AhEvFX9s22r6uNWS6RLGyiYEhY3BmDQKArI00jAlS6/p/Xxz8efgd8Ide/bu07416z8PtOufFehax4VtdH1yVGM1pC94NyoM7RnzH5xn5jg19jVfDGFnhKuKhKbm1O131st+urvr6HyvEWa08dl2Coxcm4Rk25dOblSpx1fuQULx+HWUrRW7K/nA/bt+KH7ROj/8ABafxP4v8QeJ9U0jxNo/xOS08O30pSB7HS1lEdm0Rf5EjNo6OGPBEhc8sTX9H9eVa/wDCX9j3UP2r9H+J/iTQfBz/ABjttAePRZ7m8iGrnT/3qM8cBfc6ANMnmbDgFl3YGK78+yupmtCnCFTk5ZJ3/wAvNdD6Twt44wnA+Nx1avg/rCrYedNKydm7P3r/APLt2tPys9bWPkHx7pn7I/x3d1+NPxy0r4kW2kaZfPBbeKfGlpqEWmWzxj7TdRxoVEbCNRmcjdGASrLkk/W37BOvfEPxP+xp8ONf+Kl1qNxrl14Wt3ubrV4RHd3EeD5Msy8YleHy3bIB3MSQDkV5z/wUf+Bfwf8AjfJ4L8PfFv4eadr9jYrqt9aWl9G2xLhIoAr4UjdgMwwcg55Br334K/8AJHPCXA/5Fmw6D/p3jry8hwNXBZ1iYVKrm1GF2+t9e72tZHz2Z5vSxHDFDCrmb53Kzty01G6tT1fxuXNPSKvGPxbrpq8r/aj+FH7H/wAUbLwvF+1zong+7gsfEcT+E/8AhLb2KBTqTA7I4TI6+a7gf6r5g+0ZU4GPVK/Db/g6M8UfF0ftWeAfDOp3V/F4NtfBn2zw4oUrA2otcyrdurD70ioloD3UFcY3c+1nmPhl2XSrShzq6Vntq+v9b2PV8K+FMRxnxnRy6jinhpOM5e0jfmXLF6Rs1dvZ6r3eZ9LH7i/ZLUNuFtHnPXYKkr83v2O/2lr7XPgn8PvEvxO/bX1C78Xah4ftG1bRtR8d2R826lj2+W8AAfcdw+XO7djvX3/8J7vXL3wDp9z4haRrlkb55s72TcdpbPOduPrXLlXEWGzfEujSpyVle7t3Sto33PlM3yWtk9epSqTjLkm4Xi7p2bV15O2h0VFFFfQninj3/BQTxB8VvCn7EfxS8SfA97xPFdl4KvpdGk06PfcRyCI5eIdd6puZccggEZOK/J3/AINZtb+J6ftO/EjQ9MS6fwjc+C4rjXpBAGiXUEu0Fnuc8q5jkvcD+IBifu1+31+xWxmZTyImI/I18j/8EwPgl8Jfgnf6zafCfwDYaDHrfg7Q9Q1YWKtm6uma6BkcsSSfboMnAGTXzGaUJS4hwU+Zr49PRX/G9n5H6nwxxrg8n8OM4yKphlOeJdNxnppZr4uvu25oW2k29Ov17Xh//BSvxH8WPCP7BXxW8SfA571PE9n4Oun06XTY91xEuAJpIx1DrCZGBHIK5HIFe4VR8TFh4b1Ar1FjLj/vg19FXpurQlBO101ftdbn53leMjl2Z0MXKCmqc4ycXtLlknyvydrPyP58f+CGXxg8TeDPiR4z8Gap+0NqPgjwjcaIl9cJB4kt9Pin1FZo44jmYHLeUZsheoUbvurX68fsrWHhTx/460vxb4R+IB8UQ6TqNze3uuxatFfG4uWtZLciaaPKlgky/KMEBV7A5zP+CYvwL+D3wSGv6L8Jvh3puhWup+FvD9/qEVlGx+0XL/bQ0jFySTgAYzgdgK+tY4o4htijVR6KMV8Fw/kNbE4bD4uWIlyxfModLxb21t+HU/RvFDjfB8WcW4rH4bDezjUUY625naCV5W0bfrsl2HUUUV+hH5UfzT/s+fFz4/6X/wAFa/8AhNvif8RdW8MeLdQ8e31p441ee7isp7SFpHS6jZ5RshVY1KAdFCqF6LX6PftEaN+yv8Ufhv4v+I/jL4vWXjvxFofhKX+yNev/ABLbarqGiujGS1NkqHEMrXflbdq7pZNkZ3AhD9++Hv2Xv2fPCnxv1v8AaS8O/CXR7Tx14jsltNb8TRW/+k3cIEY2sc4GRDFkgAtsGScV85/8FEfgb8IPiV8XNL8X+Pfh7p2q6n4U8HPeeHbu7jYmwnN0T5iAEKTlEI3A4KgjFfmeZ8OYrAYCpVliW48yfLrZ3kkm9d+r0+Z+9cQeJ+WcV8U4HG0MNLDRo0YwlycvM3BOTirNL2d/cV3pHVxfwH1T8JbzxjqPwq8M6h8RbZofEE/h+yk12FowhjvGgQzKVHCkSFhgcCugoor9LiuWKR+E1qiq1ZTSSu27LZX6LyR/Pj/wX9+JP7QGgf8ABVe61W61zVtOHhaw0e4+GlzHmL7NCIo5vPtyOp+2/aMv13R7TwgA/RT4Z/FLwf4zi8NQeJf2rZfFeutawSjQb/xvZ3Y+3tb4kKQRYJdd0oAGcAnivr/4kfsxfAD4wfEfwt8Xfib8KNI1rxL4KnM3hbWL2AtNp8hZX3IQcHDKrDcDtYZGDzXbra2qNvS2jBHQhBXxeI4UxeIxNef1pxjUbdld3T6PVLTZb6H6txR4j5dn3DWT5bSwShPBU3CUtPefuq8bK9ny88r688n2u+b+C3hI+B/hbo3hljLugti7CfG8NI7SEHAGMFyMe1dRRRX2FCkqFGNNfZSX3Kx+Tzk5zcu5+Rv/AAdUeI/ixa+DvhP4V0+W9TwRe3+oz6qIk/0eXU40iFsJGH8Qie4KqeuXIzjiT/gnF8d08U/sQ+ENP+Pn7Y1/bXH2K40+Tw7qXjqzt4zpkcrwwQPC3z+WYFVcEhivfkGv09+Ov7PvwX/aa8ASfC749fDvT/E+gS3UVy2m6kjFBNGSUkUqQysMkZBHDEdCRXSaN4a8PeHtHtPD+haJa2ljYW0dvZWlvAqRwRIoVEVQMBVUAADoBXy2P4bxeMzKpiYYl01JJWV76K1t1p1+bP1TE+IeXV/DTA8MrBL2tCrObqaWafM1bRvmfNaV9LQjvtHz39mDwuNK0DV/FAaT/ieahHMu7GwrHBHEGTjkHb159q9PoAAGAKK+iy/BrAYKnh078qtfufl+IrPEV5VLWuFeNftVeBX8bXWm6cNLdjfadd6Yt5ApMiLcbA6DqB9xWGR/CewNey0VnmmAWZ4KWHcuVO2vo0/0KwuIeFrqole1/wAhltCLe3jt1JIRAoJ9hin0UV6BznL/ABuv/HOlfBfxfqnwwtnm8S23hfUJfDsMUIkaS+W2kMChW4YmQIMHg9K/N6z+N/hbw3c/AGx8KftM32gRav4av38QamviC1trm6s/sKNJLdSzZMcp1GOFWHBMvnKR8jBf1JrgfhZ+y3+zz8EvGXin4hfCj4R6NoWteNr77Z4p1GxtsSajPvkfe+SQPnlkbC4BLk4zXzud5LiM1r0Z06zp8l9r316rVa9N9j6vIs7yzLstxFHE0eecruGkbNuMoWm3qlHm54WT95WaV+aPz78BI/BvxZ8a2jeFvi7J40nt9dsb3VNWXX4NRnjFtKs0UcjxfKifuyACATubByePsCmxwww58qJVz12rinV1ZNlUsqpTjKq6jk7tv0S7v8zwMZi1i5xajypK1gr+cX9uP4u/tK+Gf+C1XinxpqfjLWNC8UaT8SRYeH9Q81baSz0gyCG18st8iRNZyKdx+VllZm+81f0dVwerfswfs/a78d9P/ad1j4TaPcePtL002Fh4okt83MNuRIpQHOM7ZZF3EbgrEZxxWee5TWzajThTqcjjJO/9dV0P0Lwx48wHAeMxtbFYVV1XoTpJaaN2aTv9iVrTS1tbR2sfLHhbxj8PfiD4pGj6N+0pL461R7WaHT7C48YW2oywo+BI0UUIDZIC5ODwBX2h4L0FPCvg7SfC8buy6bpkFqrSEFiI41TJxxnjtWgltbxtujt0U+qoBT6nJ8lqZXVqVKlZ1JTtq/K/m77nwGMxscVCMYwUVG+3n8kFcJ8cf2Y/gD+0tb6LafHn4U6R4pj8O6ouo6KmqwFxa3IGN64IyCMZU5VsDIOBXd0V7c4QqRcZpNdnqc+FxWKwVdV8PUcJraUW4tdNGrNaaEf2S1DbhbR5z12CpKKKswCiiigCK9WR7OVIY1dzEwRGPDHHAPtXkH7LXgBPDmp6vrkdhNaIun2mlQ2rKQkaW7TMFGRnI83aeew717JRXn4jALEY+jiXK3s+bTvzK34HRTxDp4edK3xW19HcK8c/4KDa5498N/sXfETW/hreajbarB4ecm70eHzLu2tS6C6mhH/PRLYzOpGSCoI5Ar2OkkjjljaKVAysCGVhkEHsa669N1qEqadrpq/a63NcuxUMBmFHEygpqnOMnF7SUWnZ76O1noz819a+N/gzw7+1BpPhHwj+1G/hXw7J8LRc366R4qs7W3lIu4v7MbzZNxctBLeMqg4KbX6EE/VH7JnxHuvHGqQp4b+K0vjHSba3lhu9UbWI74bwdwDyxfJ5gLgY4O0j0FeifAj9l79nz9mPw9f+FPgF8JdH8LadqepPqF/a6Xb7VmuGVVLncSfuqoCj5VA4Aru44o4htijVR6KMV8llvC+Mwc6Up4p2g78qvy+m/Xrp3PczvOcrxVVwwVH3FFRUpJKcurlJRur3dklJ2SSu7DqKKK+yPlgrxb9pj4eDxz4u07TBpkgOq6cdPa9t1PmbDISy5OVG0HcMjuSeBXtNFefmeAWZYR0HLlV07+jTOjC4h4ar7RK+/wCKCiiivQOcKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACvH/wBs39ur9nL9gj4faf8AEn9o7xRfWNjq2qGw0y10jRrjULu5lWGSeVkgt0aQpFBDLNI+NqJGzEivYK+B/wDgtx4c+JegeIvg3+0f4P8Agt4r8e6R4PXxro2uaH4L0STUr5Jtb8M3en2U32ePLGL7SUid+kaz7jwDQB90+FfFHh7xx4X03xr4R1iDUdJ1iwhvdL1C1fdFc28qCSOVD3VkZWB9DV+vIv8Agn/8JvGfwG/YW+DnwT+IsezX/Cfww0LSdbi3hvKu7ewhiljyOCFdWXPfbXrtABXM/Gb4veBvgF8Ktf8AjP8AEu/uLbQfDemyX2pzWljLcyiJBkiOKJWeRycBVUEkkAV01ch8fviBpXwr+Cfin4h63omtala6TolxPPYeHNGm1G+nAQjbBbQK0kznPCKCTQBF+zt8fPhz+1J8DvC/7Q/wivrq58M+L9Ii1LRJ72ze3leCT7peN/mQ8dDzXaV8i/8ABCnXtSvf+CWvwo8G+IPh94t8Max4P8Px6Drmk+MvC91pN0l3Aqs5SK5RGki/eDbKBtYhgDkHH11QAUkkiRRtLIwCqCWJ7ClpJHEcbSMCQoJIAyTQB4l+yV/wUK/Zj/bX8R+LfB3wM8Raw+reCpbb+29L8QeG7zS7j7PchzbXkUd1GjTW0wjkMcygq2047Z9ur4C/4JD/ABZ1D9p79qD49/tYfFf4QfEbwd458VXljpemaD4x+HuoaRaaR4V06W5h023iubmJI7u5maS4u5/LJCG4RBwmT9+0AFFFFAHiN1/wUK/Zo0/9sey/YW1LWddtfHepxTHS2uvC95Hpd9PDareS2kN+0Yt5bhLdllaJXLKp5weK9ur89vjPp3in4m/8F0fg74p+F3wf+Lkd74Bt9asviHrXiXSrj/hDI9Cm0hzBd6bLIWtxeyXcsMJeDbMVjkSQbVFfoTQAUUUUAeWftYftl/AL9irwn4d8ZftAeKpdMtPFfjGw8L6CltZvcS3epXjlYYlRATj5WZm6KqkmvU6/L7/g4P8Agl+2x8SfE3gL4gfAv9l5fib4U8Jy6M1nDaeJha3Wla5J4n0uV7j7KsEslwrW1oluZhtW2iubmVtyqy1+nenTXtxp8E+o2a29w8KtPbrLvETkAsobA3YORnAzigCaiiigDzT9rD9q74V/safCgfGL4vW2vXGmya1ZaTa2XhjQJ9Uv7u8u5hDBDDbW6tJK7uwUBQTzXU/CT4l6P8ZPhponxT8P6Jrem2Wu6el3bWHiTRptOv4EYcJPbTqskDjujgEV4V/wVh8IfCHxl+yh9k+OPg74u6x4fsfFemajIfgfa3EviGxuLeUy291CLb9+qpMseXh+dSVPChiNT/glMv7Saf8ABO/4Tr+142sn4hf8Iwv9vHxI2dS2+dJ9m+1nr9p+zeR5uefM355zQB9B0UUUAVtZ1jSvD2kXfiDXdQhtLGxtpLi8u7iQLHDEilndmPAUKCSewFeXfsg/tsfAf9uTwJffEn9n+/1u50iyvxbrc634au9N+1o0ayRXVuLmNDPbSowaOZMo4zg8EVd/bW+Gvi/4z/sb/Fn4P/D4j+3vFXw013SNEy+0G7udPnhhGT0+d15r4/8A+Dejw1+0P4R+C3jfw98TdN+LNj4Lsbjw9aeCtO+MqzrqlrfRaHax63HAtx+8SwXUFdYFH7oKreX8mKAP0NooooAK+fPhH/wUu/Z5+Mn7WWqfsWaJ4a+IOkeONMsdRvvK8U/D7UNMs721srlLae4trm4jWO4i8yRAskZKuGBBORX0HXyh+zn4H8Z/Eb/gqh8fP2m/GnhPVLDSfCfhfw/8N/h/dalp8sCXsCo+rapc25kUCWJrm7t4fMTKlrMjOVNAH1fRRRQAV4F8av8Agph+yR+z9+1D4Z/ZB+JfjPU7bxj4ofT0tVtfD91cWNk9/PJb2CXd3GhitWuZopI4hIwLspAr32vyg/4KR/Bv44+Kv+CzXw/8b+HfgT461eaPUPh23gHWdA0KSbwzLa2mtX82vvrsqjyvNtrWWOW0M53Ru+6H5iaAP1fooooA/9k=", 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", "info": {"equation": "39+85=124", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "384605965b844e3c4c5d1c8b199c37903b81d8754d4d28d6187045166f637c5f"} +{"episode": 30623, "episode_seed": 135749258, "split": "train", "timestamp": "2025-10-28T03:46:23.798976", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 135749258, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [1, 0, 2, 7])", "action": "('move', [1, 0, 2, 7])", "reward": 0.0, "image": 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", "info": {"equation": "41+66=107", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed 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": "41+66=107", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "43f2007b8e648175040c8bd9a3cf8ef4b3f51de54b47c1d9c7865f0b68bb227e"} +{"episode": 30624, "episode_seed": 1501549896, "split": "train", "timestamp": "2025-10-28T03:46:23.860883", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1501549896, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 1, 4])", "action": "('move', [6, 4, 1, 4])", "reward": 0.0, "image": 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8zlOOhlma0MZKmqipTjNwl8MlGSfLLylaz8mfy+f8Es/iX43+HX7avha88LfE+78KWmrPJZeJ9YttShtSNNYCWUNNMCqAtFGc9SVAHJwf151q0/Zo+PfiLRtL+Jfx10/4nz6fcSTaF4e8T+MbTVLdLhoyGmSzXCSyiPeAzK+1WfGMk19O/ss/Az9gX4ZeMfGWqfsieGfANvrd1eLF41PhK/huZreXzJWWGZUkf7N84l/d4QZQ8fIMcp/wUg+Cvwo+OGh/D3wD8WvAdjrujSeMZ53sLsMqGSPSr4o2UKtkEnvX5vieGsVgsnqVHim4pN8qvyvX1+/Tc/auPvEjA8Z8dUcbRw08IowjBysvbbNt2TjfSXLFc6vHdpOy57/gkSI9M+HnxH8G/D9nf4X6H8R7q2+GEkaKbUWjQxS3sVpKufPt01B7tEfLDggMccfXNeMfsC+FfDfgX9m608F+DdDttM0nSvEuu2um6fZx7IreFNVugqKOwA/E9TkmvZ6+5yWm6eUUIt39yP4q/wCGyPyHiXHwzTPa+JhGylLru7JLmk+s525pvrJthX86v/Bwn4t+OGu/8FIPEfh74rTaiuiaRYWieAra6i2W66a8KM8sAHDBrjzwz8ktHtJ+QAf0VV5p8f8A9jn9l/8AanvtF1P9oX4J6H4suPD0jvo82q25ZrfeVLLlSNykopKNlTjpWGf5VVzfA+wpz5XdPXZ+T/P1R9p4Sce4Dw74qeZ4zDutB05Q0tzRbs1KN7K+nK9V7sn6P8yv2Efib8TviF/wTp1X4jfGz4i39xrbeJYPP8SXt+guIbaA6bHbytN0Vo4I4/nf5hsy+Tk1+iv7NHj/AFvx5q41bSfGJ8Q6JPZE/wBpx3q3MMhQhFdJEJQsSpB29fm4yOPIfjXBBB8TfiDbwwoka/EXw+qxqoCgfZ9DGAPSvshESNdsaBQOgAxXyvD+UVpZlVn7d2pVLNfztdXr1+e54PE2c0sxxdXFRoRgq7lNRW0FKXNyx0Wkb2W22wtFFFfop8aFFFFAH8/3/Byh4t+OOqft+nwl8QJdRTwfpXh6zk8AW80Wy1aKWCM3c0WOHc3KyI7H5sRIp4Va/UD/AIISa98YvEH/AATO8BT/ABkgu1ltluLbw497bCJ5NHjfbaMAACybBhGIyyKp5GCdP/god+z98Fv2hvix8OfDvxt+HOn+JLHT9D125srbUN+2KY3GlKXGxlP3SRg5HPSvYP2MLW1sP2U/ANhY20cMEHhq3jghhQKkaKuFVVHAAAAAHAAr4zLMNKlxZi25t6J/+BWdvlsj9r4s8RMvz3wryrh+lg1Cph3709Le6pRvG2t6l+ape3vfzXuvTqKKK+zPxQ8S+OnwN/YG8dftBeDvG37QfhvwDcfEm1aFfBb+INQhi1GcxzF4lhhaRTcbZSSo2vhiccmvaTZ2hOTax/8AfAr+ZD/gq/8AED9oXUv+CknxI1z4xarrFpr2heL54PDLzboJLLS4Z2bTmt9uNieSY5VZfvM5fO5ia/U39m79pKfxB8CPBXin4w/t46nb+Krzw9Z3PiC0n+IWnw7LpkDOrRBfk56r26cV8NDjDB4fFVoToNWla8Uru2l5ba/efuXHvhbmPDfDGU46pmKrqtDSDbtTulO1LV3hrq0o62dve0/SVVVBtVQAOgApa8q/Zt8X+I/GQvdZl1ptT0m6gS4tb8T+bFIz/MDE4yrKynPynGNuOvPqtfVZZj4Zng44iMXFO+j8nY/FcVh5YWs6bd7BX5x/8HMni744+G/2JtF0z4bTajB4X1bxStt48nsI/lNvs3W8UzjlInmA9AzBFJ5AP6OVjfEL4e+Cfix4H1X4a/Ejwxaa1oOt2T2mq6Xfxb4rmFxhlYfqCMEEAgggGqzLCSx2BqUIy5XJWv8A106PyPf4Lz+hwtxVg82rUVVhRmpOD6ryvpzL4ovpJJn4A/8ABDD4veKPBvjzxp4O1b9oG+8D+D59HS9m+z+ILbTkuNTE0UcXzzAlz5PnfKvGACf4a+8vHvw+/Yf+NVr4j8bfGjx94d+Ic8Xh8Qav4g8T+KLbU7jStOViVEThgtookJYMgUs7YJOcV93/AAL/AGcfgb+zP4DX4Y/Aj4ZaX4Z0JbuS6OnadCdrzyY3yMzEs7EKoySThVHQAD5Y/wCCgv7NfwF+NX7Ql94h+LHwq0nXrzw98M7ObRpr+NiLZzdam5IUMFcFo0OGDD5enJz+d5tw9i8syfnqYhyUbe5ry6vpr0v2P0bPPEHL+LPEKrm1CnPC05296nb2rUYrWVpRV5NK/vNR0+K2vuX/AATm1z4qeJP2H/hrrPxoW+/4SGbw4n2h9UtBBcy24d1tZJYwBtke2ELtkA5Y5AORXtdc58HmLfCTwszHJPhyxJJ/690ro6/S8PB0sPCDd7JK73dluz8fzPFxx+ZVsTGCgqk5SUY7R5m3yryV7LyCv5Svj38U/wBps/tj698VvixrWr2XxU0/xn9purq8jEdzY6jbzDylVDlUERjjVFHyBUUD5QK/q1r4C+Pv7OPwL1/9rTxj8f8AXPhdpd14z074leHYbDxDPGzTwIsOiqu0FtmQrsA23Izwc4r5PjLDyq4ehJSa99L/AMC6+qtp6s/XPBrxCy/gLFZg8VhFX9tSstrpxb913/5dz5vftd+7HRmJe+P/AIP/ABR+F0Hg344/toTa1ZarpNunifQNS+JtmttdsURpoJhCUJjLhlZAwDLlTkEg9J+xj4V8HfC//gope+Dv2a/D9hpfh/U/ho9z8UtK8O2EKWFrexXES6PJJ5YxBcSRSX2EG3fGgcqc7z9P/tr+H9E1v9kf4jaLq2lQT2l54RvYLqB4xtkjeIqynHYqSPxryj/gnt8B/g5+z38U/Hng74J/DvTvDemXPh/Rbq5tdORsSzG51Rd7M7MzHaqgZPAHGK86GVYjA8SYWFTESqNqTu730T01b0fU+XwXEGHhw/jY8slzpxVJW9ledk5y1+KFk4JQfvRi3Jctn9WUUUV+hn58FFFFAHzvY/Cr+2fjdDYnSJbFLLxe+uzC2UhDIJpJi5LA/K7sSfUk4xX0RRRXlZVlccrhUipuXPJy18+n/BOrF4p4qUW1aySCvA/+Covir43+CP2APij4q/ZzfUE8X2Xh3fp02kw77mCEzRi6liHUOlsZ3DD5lK7l5Ar3yjr1r0K9J1qEqaduZNXW6ut16G2U46GWZrQxkqaqKlOM3CXwyUZJ8svKVrPyZ/MF/wAErvi38R/hp+2T4ci8IfF7UfCOm69K1p4u1G01eO0WTTwDK/mSTfIMMikE/NngcnB/ZPw38Rfhj4u8U6faf8NTHxnqMUkjaRpmoeNrS+aOUxOrSRRRYYv5TSLnnCs3HcfTvwO/Yz/ZZ/Zq8Q694r+BHwN0HwxqHiaQNrd1plqVa4w7OFG4kRpudjsTavTj5Rj0lbW1RgyW0YI6EIK+Go8G42OG9lLFtJ3vFJuP/pS+eh+qeKHiblnHXEscxwmC9nGMIwvLl55NXbbsmtL8sdXok9L2XGfs8eCW8A/C620eQTh7rUL7UJEuQAyNdXUtwVxgYAMmADzjGcmu3oor7fC0FhcNCindRSX3Kx+P1ajq1ZTfVthRRRW5mfPHxN+FjeL/AIyX2ivo8tr/AGvrthf3M9opzMLc222UlgR9y2jQ9uMcGvoeiivKy3K45dUrTU3L2knLXpfp5+p14nFPExhG1uVWCiiivVOQKKKKAPIf2mNClutf0HxFHoglktLe4tre7RGZ1854WeLjjDGGIjuSvFdt8E/BKfDj4SeHvA0ckzDTNKihzcEb+BznAAzz6V1FFeVh8rjh80rY3nbdRJW7WXf5HVUxTqYWFG3w319Qooor1TlPMvij+xp+y18avivoXxy+K3wP0HXfFvhryv7E1y/ti01t5UhljHBAcJISyhwwBJxjNekmztCcm1j/AO+BUlFRGlThJyjFJvfTf17nVXx2NxVKnSrVZSjTVopybUVvaKbtFX1srCKqoNqqAB0AFLRRVnKFFFFABXhH7THgiTX/ABy0kWhv5ur6EumC8t0YvKgaYhO4ypmkYcfxEnIr3eivLzfLFm2CeHc+VNp332OrB4p4St7RK5neENCj8LeE9L8MxSO66dp0FqruQWYRxqgJxxnjtWjRRXppWVjmbuwr8nr340alon/BPXxz8Q/in8Vb7S/igLrVJvEtxfTQx6lY+LkuXa3tVgbIQpJBbpDEFx9niRlBUbj+sNeZat+xn+y1rv7QVt+1VrHwP0G4+IVmiLb+KZLYm4UrEYlYjO1nWM7Q5UsAFAI2jHz/ABBk1fOIUlTqcnK7/wDB9VbT1eqPruFs7yjKo1YY+i5pyhNcqi23T5/3b5rWhU5/eau1yxfJLY+QtF+Mfw88R+CNPsPib+25NqTXelW41/R9R+I1g1vcSNEpmhkRMZQtuBUEccZr6o/Zf8Gm213XviS7TZ1WwsrGPcB5bpBJcyb14ycm5IJyR8o9DXr32Kz/AOfSL/v2KkAA4ArnwHDdbCZhDFVsTKo4p2TXdW3cmePi80hiKU6cKSgpO+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=", 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", 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", "info": {"equation": "48+1=49", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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"info": {"equation": "48+1=49", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "024bedddef7a941536d190c489083bd3c62bef3fbbf08707860be35873caaedd"} +{"episode": 30625, "episode_seed": 2069518416, "split": "train", "timestamp": "2025-10-28T03:46:23.936125", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2069518416, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 3, 1])", "action": "('move', [5, 1, 3, 1])", "reward": 0.0, "image": 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", 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fD34oeC7PWtFvvGdubvTroMEkKWt265KFW4ZQeD2r4DN+HcVThisX9Yai7y5VfVb2eqWmy0eh+y5p4j5dn2VZFllPDOhLBw9nOrC3NryrmgrxeqjzNOUbzk1e2rp/8EuHmj/ZLtdK01pH8M6b4o1qy8CSvGoV9Civ5ks/LK/6yERjbG/O+NUbLAhj9E15n+xzo2k+HP2aPCfh7QNOhs7CwspLaytLdAscEMc8iJGoHRVUAAegr0yvsssi4ZdRi3e0Y6/JH5XnmMhmGc4jExjyqc5O3q3v59/M/I3/AIOqPEfxYtfB3wn8K6fLep4Ivb/UZ9VESf6PLqcaRC2EjD+IRPcFVPXLkZxxn/8ABMz4s+Mrz9iLwn8Rfi58VLmzn034iW9tD4hv9Uiha3sbe2hgtommf5VQRIkOG5KnHcGv1R+Ov7PvwX/aa8ASfC749fDvT/E+gS3UVy2m6kjFBNGSUkUqQysMkZBHDEdCRXhV3oOieHf2oofDWg6Tb2en2PjzS7ezsreIJFDEmgwKiKo4CqoAAHQCvjeIcmrvMY4pVbKpOnFLW6e1/la6829uv6WuPsBjPDXCcMxwiVXDzqVJVNLST5ml3u+e0r6WhHe9o+4/AXVde1jwN9t1y5lnDXT/AGSeZizSRYBzk9RnODXa0AADAFFfbYHDSweEhRlJycVa76n5JXqKtWlNK1+gVh/E278V2Hw28Q33gO3MuuQ6HdyaLEsYcvdiFzCu08NlwoweDW5RXTJc0WhUpqnVjNpOzTs9n5PyP5+P+Dfrxh8etQ/4KvC+lm1W7m13Stbf4l3F3AXkaMq0zSXBYZRjfLbAtwd7bf4jX9A9fHv7HPwT+E3w9/a51/4k+CfANhpuveLF8VS+I9Vt1bzr911mEguWJA5YnC4BJyRwK+wq+a4ToujlkouTfvy38nb9L+rP0zxb4xwfHHFMMww2H9jFUacLaXbSbbdtNOblj/djHbZcz8ab7xvpfwc8Wan8M7Z5vElv4Zv5fD8McIkZ75bdzAoVuGJkCDB4PSv51/8Agkh8W/iF4c/boutT8SfGrVPCkfiDTdSPjfW5NZispp2w0wEs1wDhmuhGSPvEk9s1/SdXx1+w98DfhD8O/wBpnXPHXgn4eadpus+LNN8Q3XiTUYY2Mt/MNYtyGcsTjl2OFwMt0rm4lwVTF47CRhUcG3JXXTS91qtdLG/AnHGB4a4RzrLK2FVWWKhFRk7aWbXvX6Lm5o22ml3uvCfjPY/Bu60m5+Pnwp+Idv4u+LVr4i0aLwn4ti1y31XWP7T+0LFaWETKcLFIjzo8CgK8ck7sDgsv6d18c/Hn4HfCHXv27tO+Nes/D7TrnxXoWseFbXR9clRjNaQveDcqDO0Z8x+cZ+Y4NfY1XwxhZ4SpioTqObU7XfVpb9dXfX0PleI81p4/LsFRi5NwjJty6c3KlTjq/cgoXj8OspWit2Vz3xVt9KuPh9qi6y22FbYsrBQSrj7hAPfdiuhrxP8AbA+KjeGPCdxo+jWEt9d2kQnNlEObmdsLb24OCcvIyjpxkGvWzzFU8JldSUlfmXKl3ctEv66HzuBpSrYqKWlndvsked/so+IfC3jT9rjXbfUYXN14X8NNa+HXkijMUszyxNqTxtvLb4w9hEfkXbvcZO4gfWFfJ158Dtb/AGcb34fapoV0t1qug3SX+p3Tug/tGS43Lqy7zEAPNM0kqgBfnWLJUDI+sI5ElRZY2DKwBVgcgivP4XfsMHLBTVqlJ2a731T+f6HTmi56yrxd4zWny3Qtfhp/wdI+I/ixP+1R4D8J63Jer4Kg8FG68PxNHi2e/e5lW8ZT/HIEW0BzyoK9N3P7l15X+1H8KP2P/ijZeF4v2udE8H3cFj4jifwn/wAJbexQKdSYHZHCZHXzXcD/AFXzB9oypwMd+e5fPM8ulQjPlbad3to+v9b2PsfCvi7D8EcZ0c0rYZ14xjOPLFJyXNFq8b9Vs/7rkfCHwB8feAfjv+y54C8M/tNftRt4kvNW0PTJdd8Ga743szbXd0pR4oJrRNpcCRYz5J4LKAynkV9P/wDBLzT9O8O+Hvif4M8AWUVv4D0j4kzReD4LO3RLSBns7aXUIbYpw0SX73I4yFkMiDG3avo/7cXgTwd8QP2Zte8FeNPDltqOlarfaVbajYzqQk8T6nahkJUg4I9CDVH9gbwH4N+GHwJl+H3w98OW2kaJpPiXUINO02zUiOCPzc4GSSckkkkkkkkkk189luWV8v4jjCpXlUfs27vtzWtu9Ovqc2P4gw+NyHFKMHD21W6pq3soXalzx1+PT2a91e437zvY9rrkfjx4R+C/jv4Qa/4U/aJstFuPBN3YkeIo/ENwsVkIFYPulkdlCBWVWDZG0qCCCBXXV+cf/Bzb4k+LGi/sLaJpfgeW9j8Pap41t4PGT2iZRoFikkgSZhysZnRD6F1QHnAP1WZ4qODy+pWlHmUU9O/r5d/I83gfI6vEnF2Cy2lW9jKrUilPZxtreO3vae7qvetqj7z+Dng74P8Ag/4VeH/DPwO0rRofB9npUKeHE0R0ltDabcxtE6kiRWB3b8ndndkk5rqFVVAVVAA6ACvxb/4I1fHnWIf2RW8PfE/9r/VfC9ro3iS4tPC+jt41tLFYrHZHIdscoLlfPkmwTx1A4Ffq1+zT4s1jxn4cu9euNdOqadctHLp2oicSpOHUktG4+VkI2kFeOeK8PKuJ8LmOIp4aFKUW15cqsr6eXRaLodfGvC2J4a4gxuEq11VdKpJc93eWu7v9rX3ld2d9Xuel14d/wUr8R/Fjwj+wT8VvEnwPe9TxPZ+Drp9Ol02PdcRLgCaSMdQ6wmRgRyCuRyBXuNJJGkqNFKgZWBDKwyCPQ19LXputRlTTtdNX7XW58zleMjl2Z0MXKmpqnOMnF7S5ZJ8r8naz8j+eD/ghf8Vdc8E/FLxt4b1H493vgfwxe+H4rq8ktvEFtp63V/HOqQAvMCWIjkuflX6noK+/tL8MfBbS/j38Lvi78CNcsfEHxD1j4u20V14qstQg1TUtWtZo/L1dLicEloY9PBYgYWERw7Qu75vs39lP4Sfse/C/wbq+m/se6B4OttDudfml1n/hEbyK5h/tEIiyJI6O4V1UIPLyNoIwozXh/hD4IfCLSv8AgorcfHTTvh9p0XjDUPG15YXniBUbz5LZdBcCPk7VGEQZABO0ZNfnU8gxGX/VHLEOSdSKSV+VXbd1r+i3P2TinxDwXEfGePzWnh50IypNcllzVGoKPLW1S5XvL4tEo215l9i0UUV+lH4YfzT/ALPnxc+P+l/8Fa/+E2+J/wARdW8MeLdQ8e31p441ee7isp7SFpHS6jZ5RshVY1KAdFCqF6LX6PftEaN+yv8AFH4b+L/iP4y+L1l478RaH4Sl/sjXr/xLbarqGiujGS1NkqHEMrXflbdq7pZNkZ3AhD9++Hv2Xv2fPCnxv1v9pLw78JdHtPHXiOyW01vxNFb/AOk3cIEY2sc4GRDFkgAtsGScV85/8FEfgb8IPiV8XNL8X+Pfh7p2q6n4U8HPeeHbu7jYmwnN0T5iAEKTlEI3A4KgjFfmeZ8OYrAYCpVliW48yfLrZ3kkm9d+r0+Z+9cQeJ+WcV8U4HG0MNLDRo0YwlycvM3BOTirNL2d/cV3pHVxfwH1T8JbzxjqPwq8M6h8RbZofEE/h+yk12FowhjvGgQzKVHCkSFhgcCugoor9LiuWKR+E1qiq1ZTSSu27LZX6LyQV59+0jpA1PwRaXB0wXBsdVjuFfaSYDskTeMezleeMMa9Borlx+E+vYKph+bl5k1fsVh6vsK0alr2dzl/gt4SPgf4W6N4ZYy7oLYuwnxvDSO0hBwBjBcjHtXUUUVtQpKhRjTX2Ul9ysZzk5zcu4V4tq/w/bWP2m4dSbTZLfydTi1WSaFTicx2nkKzE5HQKnGPuD3r2miuTMMAsf7K8rck4z9bdDbD4h4fmsr8ya+8KKKK9A5wooooA8X+C/w/Nh8bNU8RtpklmNOh1CEQxqRFvu7qKZzluSSY9wwejk9xXtFFFeflmAWW4b2Klzat3fm7nRisQ8TV52raJfccv8br/wAc6V8F/F+qfDC2ebxLbeF9Ql8OwxQiRpL5baQwKFbhiZAgweD0r83rP43+FvDdz8AbHwp+0zfaBFq/hq/fxBqa+ILW2ubqz+wo0kt1LNkxynUY4VYcEy+cpHyMF/UmuB+Fn7Lf7PPwS8ZeKfiF8KPhHo2ha142vvtninUbG2xJqM++R975JA+eWRsLgEuTjNebneS4jNa9GdOs6fJfa99eq1WvTfY+jyLO8sy7LcRRxNHnnK7hpGzbjKFpt6pR5ueFk/eVmlfmj8+/ASPwb8WfGto3hb4uyeNJ7fXbG91TVl1+DUZ4xbSrNFHI8Xyon7sgAgE7mwcnj7ApscMMOfKiVc9dq4p1dWTZVLKqU4yquo5O7b9Eu7/M8DGYtYucWo8qStYK5i9+F2k3vxEh+IUl2/mRIN1tsG1pAu1Xz14Hb1A+h6eivQxGFw+KUVVjflakvJrZnPTq1KTbg7XVvkzmviN8NNO+I0FpFe38lu1pMWDxoGLI2Ny89M4HPb0NdFBDFbQJbwrtSNAqKOwAwKfRThhcPSrzrRjaU7Xfe2wSq1JU1BvRbfMK/Db/AIOjPFHxdH7VngHwzqd1fxeDbXwZ9s8OKFKwNqLXMq3bqw+9IqJaA91BXGN3P7k1wnxx/Zj+AP7S1votp8efhTpHimPw7qi6joqarAXFrcgY3rgjIIxlTlWwMg4FcGd5dUzTL5YeEuVtp+Wj6/1uffeF/GWD4D4wpZviqHtYRjOLStzLmi1eN9L9H/dbPg39ln462XxF+APw/vfjh+2Jd6v4j1HRtPuNX8P6v45sys198joj264feJBGwTOdwGecivvP9nbwk3hP4chZBMH1HUbm/dJhgqZXzgDA4wARn1rtvslqG3C2jznrsFSVw5VkNbL8Y8RVxDqPl5dVsrp7tvsfMZvm9PM6tSdOjGkpzcuWOyu3olZaK9l5IK5/4qfCv4d/G74fap8Kviz4Rs9e8O61biHVNJv0LRXCBgwBwQQQyqwIIIKgggiugor6OUYzi4yV0zyKNarh6satKTjKLTTTs01qmmtU09U1sYPw6+F/w9+EvgbSvhp8NvCFjo+g6JZJaaVplnCBHbwqOFGck+pJJJJJJJJNbqqqgKqgAdABS0URjGKSSskKrVqV6kqlSTlKTbbbu23q2292+rCvD/8AgpX4j+LHhH9gn4reJPgfJep4ns/B11Jp02mx7riJcATSRjqHWEyMCOQVyOQK9wpJI0lRopUDKwIZWGQR6Gs69N1qMqadrpq/a63OzK8ZHLszoYuVNTVOcZOL2lyyT5X5O1n5H88n/BDL4weJ/BnxI8Z+DNU/aF1HwR4RuNES+uEg8R2+nxT6is0ccRzMDlvKabIXqFG77q1+vH7K1h4U8f8AjrS/FvhH4gHxRDpOo3N7e67Fq0V8bi5a1ktyJpo8qWCTL8owQFXsDn2j4E/swfs+/syeHr/wp8A/hNo/hbTtU1N9Qv7XTLfas1yyqpc7iT91VAA4AHAFd1HFHENsUaqPRRivj8BwpicNOjKriW1CSly2fLdO+l3+nc/QPEjj3A8acT4nM8JhfZRqqMVe3M7RUbytpd277Jdh1FFFfan5gFeLftMfDweOfF2naYNMkB1XTjp7Xtup8zYZCWXJyo2g7hkdyTwK9porz8zwCzLCOg5cqunf0aZ0YXEPDVfaJX3/ABQUUUV6BzhRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAV4/+2b+3V+zl+wR8PtP+JP7R3ii+sbHVtUNhplrpGjXGoXdzKsMk8rJBbo0hSKCGWaR8bUSNmJFewV8D/wDBbjw58S9A8RfBv9o/wf8ABbxX490jwevjXRtc0PwXokmpXyTa34Zu9Pspvs8eWMX2kpE79I1n3HgGgD7p8K+KPD3jjwvpvjXwjrEGo6TrFhDe6XqFq+6K5t5UEkcqHurIysD6Gr9eRf8ABP8A+E3jP4DfsLfBz4J/EWPZr/hP4YaFpOtxbw3lXdvYQxSx5HBCurLnvtr12gArmfjN8XvA3wC+FWv/ABn+Jd/cW2g+G9NkvtTmtLGW5lESDJEcUSs8jk4CqoJJIArpq5D4/fEDSvhX8E/FPxD1vRNa1K10nRLieew8OaNNqN9OAhG2C2gVpJnOeEUEmgCL9nb4+fDn9qT4HeF/2h/hFfXVz4Z8X6RFqWiT3tm9vK8En3S8b/Mh46Hmu0r5F/4IU69qV7/wS1+FHg3xB8PvFvhjWPB/h+PQdc0nxl4XutJuku4FVnKRXKI0kX7wbZQNrEMAcg4+uqACkkkSKNpZGAVQSxPYUtJI4jjaRgSFBJAGSaAPEv2Sv+ChX7Mf7a/iPxb4O+BniLWH1bwVLbf23pfiDw3eaXcfZ7kOba8ijuo0aa2mEchjmUFW2nHbPt1fAX/BIf4s6h+09+1B8e/2sPiv8IPiN4O8c+Kryx0vTNB8Y/D3UNItNI8K6dLcw6bbxXNzEkd3czNJcXc/lkhDcIg4TJ+/aACiiigDxG6/4KFfs0af+2PZfsLalrOu2vjvU4pjpbXXhe8j0u+nhtVvJbSG/aMW8twluyytErllU84PFe3V+e3xn07xT8Tf+C6Pwd8U/C74P/FyO98A2+tWXxD1rxLpVx/whkehTaQ5gu9NlkLW4vZLuWGEvBtmKxyJINqiv0JoAKKKKAPLP2sP2y/gF+xV4T8O+Mv2gPFUumWnivxjYeF9BS2s3uJbvUrxysMSogJx8rMzdFVSTXqdfl9/wcH/AAS/bY+JPibwF8QPgX+y8vxN8KeE5dGazhtPEwtbrStck8T6XK9x9lWCWS4Vra0S3Mw2rbRXNzK25VZa/TvTpr240+CfUbNbe4eFWnt1l3iJyAWUNgbsHIzgZxQBNRRRQB5p+1h+1d8K/wBjT4UD4xfF6216402TWrLSbWy8MaBPql/d3l3MIYIYba3VpJXd2CgKCea6n4SfEvR/jJ8NNE+Kfh/RNb02y13T0u7aw8SaNNp1/AjDhJ7adVkgcd0cAivCv+CsPhD4Q+Mv2UPsnxx8HfF3WPD9j4r0zUZD8D7W4l8Q2NxbymW3uoRbfv1VJljy8PzqSp4UMRqf8Epl/aTT/gnf8J1/a8bWT8Qv+EYX+3j4kbOpbfOk+zfaz1+0/ZvI83PPmb885oA+g6KKKAK2s6xpXh7SLvxBruoQ2ljY20lxeXdxIFjhiRSzuzHgKFBJPYCvLv2Qf22PgP8AtyeBL74k/s/3+t3OkWV+LdbnW/DV3pv2tGjWSK6txcxoZ7aVGDRzJlHGcHgirv7a3w18X/Gf9jf4s/B/4fEf294q+Gmu6RomX2g3dzp88MIyenzuvNfH/wDwb0eGv2h/CPwW8b+HvibpvxZsfBdjceHrTwVp3xlWddUtb6LQ7WPW44FuP3iWC6grrAo/dBVby/kxQB+htFFFABXz58I/+Cl37PPxk/ay1T9izRPDXxB0jxxpljqN95Xin4fahplne2tlcpbT3Ftc3Eax3EXmSIFkjJVwwIJyK+g6+UP2c/A/jP4jf8FUPj5+03408J6pYaT4T8L+H/hv8P7rUtPlgS9gVH1bVLm3MigSxNc3dvD5iZUtZkZypoA+r6KKKACvAvjV/wAFMP2SP2fv2ofDP7IPxL8Z6nbeMfFD6elqtr4furixsnv55LewS7u40MVq1zNFJHEJGBdlIFe+1+UH/BSP4N/HHxV/wWa+H/jfw78CfHWrzR6h8O28A6zoGhSTeGZbW01q/m199dlUeV5ttayxy2hnO6N33Q/MTQB+r9FFFAH/2Q==", 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", "info": {"equation": "4+18*5=94", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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5u9OugwSQpa3brkoVbhlB4PavgM34dxVOGKxf1hqLvLlV9VvZ6pabLR6H7LmniPl2fZVkWWU8M6EsHD2c6sLc2vKuaCvF6qPM05RvOTV7aun/AMEuHmj/AGS7XStNaR/DOm+KNasvAkrxqFfQor+ZLPyyv+shEY2xvzvjVGywIY/RNeZ/sc6NpPhz9mjwn4e0DTobOwsLKS2srS3QLHBDHPIiRqB0VVAAHoK9Mr7LLIuGXUYt3tGOvyR+V55jIZhnOIxMY8qnOTt6t7+ffzPyN/4OqPEfxYtfB3wn8K6fLep4Ivb/AFGfVREn+jy6nGkQthIw/iET3BVT1y5GccZ//BMz4s+Mrz9iLwn8Rfi58VLmzn034iW9tD4hv9Uiha3sbe2hgtommf5VQRIkOG5KnHcGv1R+Ov7PvwX/AGmvAEnwu+PXw70/xPoEt1FctpupIxQTRklJFKkMrDJGQRwxHQkV4Vd6Donh39qKHw1oOk29np9j480u3s7K3iCRQxJoMCoiqOAqqAAB0Ar43iHJq7zGOKVWyqTpxS1untf5WuvNvbr+lrj7AYzw1wnDMcIlVw86lSVTS0k+Zpd7vntK+loR3vaPuPwF1XXtY8DfbdcuZZw10/2SeZizSRYBzk9RnODXa0AADAFFfbYHDSweEhRlJycVa76n5JXqKtWlNK1+gVh/E278V2Hw28Q33gO3MuuQ6HdyaLEsYcvdiFzCu08NlwoweDW5RXTJc0WhUpqnVjNpOzTs9n5PyP5+P+Dfrxh8etQ/4KvC+lm1W7m13Stbf4l3F3AXkaMq0zSXBYZRjfLbAtwd7bf4jX9A9fHv7HPwT+E3w9/a51/4k+CfANhpuveLF8VS+I9Vt1bzr911mEguWJA5YnC4BJyRwK+wq+a4ToujlkouTfvy38nb9L+rP0zxb4xwfHHFMMww2H9jFUacLaXbSbbdtNOblj/djHbZcz8ab7xvpfwc8Wan8M7Z5vElv4Zv5fD8McIkZ75bdzAoVuGJkCDB4PSv51/+CSHxb+IXhz9ui61PxJ8atU8KR+INN1I+N9bk1mKymnbDTASzXAOGa6EZI+8ST2zX9J1fHX7D3wN+EPw7/aZ1zx14J+HmnabrPizTfEN14k1GGNjLfzDWLchnLE45djhcDLdK5uJcFUxeOwkYVHBtyV100vdarXSxvwJxxgeGuEc6yythVVlioRUZO2lm171+i5uaNtppd7rwX44aN8ENX0S4+Ovw28cWfjT4r2nifQ/+ES8Vf2zbavq41ZLpEsbKJgSFjcGYNAoCsjTSMCVLr+n9fHPx5+B3wh179u7TvjXrPw+0658V6FrHhW10fXJUYzWkL3g3KgztGfMfnGfmODX2NV8MYWeEq4qEpubU7XfWy366u+vofK8RZrTx2XYKjFybhGTbl05uVKnHV+5BQvH4dZStFbsrnvirb6VcfD7VF1ltsK2xZWCglXH3CAe+7FdDXif7YHxUbwx4TuNH0awlvru0iE5sohzczthbe3BwTl5GUdOMg162eYqnhMrqSkr8y5Uu7lol/XQ+dwNKVbFRS0s7t9kjzv8AZR8Q+FvGn7XGu2+owubrwv4aa18OvJFGYpZnlibUnjbeW3xh7CI/Iu3e4ydxA+sK+Trz4Ha3+zje/D7VNCulutV0G6S/1O6d0H9oyXG5dWXeYgB5pmklUAL86xZKgZH1hHIkqLLGwZWAKsDkEV5/C79hg5YKatUpOzXe+qfz/Q6c0XPWVeLvGa0+W6Fr8NP+DpHxH8WJ/wBqjwH4T1uS9XwVB4KN14fiaPFs9+9zKt4yn+OQItoDnlQV6buf3Lryv9qP4Ufsf/FGy8Lxftc6J4Pu4LHxHE/hP/hLb2KBTqTA7I4TI6+a7gf6r5g+0ZU4GO/PcvnmeXSoRnyttO720fX+t7H2PhXxdh+COM6OaVsM68YxnHlik5Lmi1eN+q2f91yPhD4AePvAXx3/AGXPAXhn9pr9qNvEl5q2h6bLrvgzXfG9mba7ulKPFBNaJtLgOsZ8k8FlAZTyK+o/+CYkcWk+HfiX4L8GLt8B6F8RJbbwVBBGotLUNZ20t9b2pXgwpfSXQwOEcyIMbdo9D/bi8CeDviB+zNr3grxp4cttR0rVb7SrbUbGdSEnifU7UMhKkHBHoQao/sDeA/Bvww+BMvw++Hvhy20jRNJ8S6hBp2m2akRwR+bnAySTkkkkkkkkkkmvn8tyyvl/EcYVK8qj9m3d9ua1t3p19Tmx/EGHxuQ4pRg4e2q3VNW9lC7UueOvx6ezXur3G/ed7Htdcj8ePCPwX8d/CDX/AAp+0TZaLceCbuxI8RR+IbhYrIQKwfdLI7KECsqsGyNpUEEECuur84/+Dm3xJ8WNF/YW0TS/A8t7H4e1TxrbweMntEyjQLFJJAkzDlYzOiH0LqgPOAfqczxUcHl9StKPMop6d/Xy7+R5vA+R1eJOLsFltKt7GVWpFKezjbW8dve093Ve9bVH3n8HPB3wf8H/AAq8P+GfgdpWjQ+D7PSoU8OJojpLaG025jaJ1JEisDu35O7O7JJzXUKqqAqqAB0AFfi3/wAEavjzrEP7IreHvif+1/qvhe10bxJcWnhfR28a2lisVjsjkO2OUFyvnyTYJ46gcCv1a/Zp8Wax4z8OXevXGunVNOuWjl07UROJUnDqSWjcfKyEbSCvHPFeHlXE+FzHEU8NClKLa8uVWV9PLotF0OvjXhbE8NcQY3CVa6qulUkue7vLXd3+1r7yu7O+r3PS68O/4KV+I/ix4R/YJ+K3iT4Hvep4ns/B10+nS6bHuuIlwBNJGOodYTIwI5BXI5Ar3GkkjSVGilQMrAhlYZBHoa+lr03Woypp2umr9rrc+ZyvGRy7M6GLlTU1TnGTi9pcsk+V+TtZ+R/PB/wQv+KuueCfil428N6j8e73wP4YvfD8V1eSW3iC209bq/jnVIAXmBLERyXPyr9T0Fff2l+GPgtpfx7+F3xd+BGuWPiD4h6x8XbaK68VWWoQapqWrWs0fl6ulxOCS0MengsQMLCI4doXd832b+yn8JP2Pfhf4N1fTf2PdA8HW2h3OvzS6z/wiN5Fcw/2iERZEkdHcK6qEHl5G0EYUZrw/wAIfBD4RaV/wUVuPjpp3w+06LxhqHja8sLzxAqN58lsuguBHydqjCIMgAnaMmvzqeQYjL/qjliHJOpFJK/Krtu61/Rbn7JxT4h4LiPjPH5rTw86EZUmuSy5qjUFHlrapcr3l8WiUba8y+xaKKK/Sj8MP5p/2fPi58f9L/4K1/8ACbfE/wCIureGPFuoePb608cavPdxWU9pC0jpdRs8o2QqsalAOihVC9Fr9Hv2iNG/ZX+KPw38X/Efxl8XrLx34i0PwlL/AGRr1/4lttV1DRXRjJamyVDiGVrvytu1d0smyM7gQh+/fD37L37PnhT4363+0l4d+Euj2njrxHZLaa34mit/9Ju4QIxtY5wMiGLJABbYMk4r5z/4KI/A34QfEr4uaX4v8e/D3TtV1Pwp4Oe88O3d3GxNhObonzEAIUnKIRuBwVBGK/M8z4cxWAwFSrLEtx5k+XWzvJJN679Xp8z964g8T8s4r4pwONoYaWGjRoxhLk5eZuCcnFWaXs7+4rvSOri/gPqn4S3njHUfhV4Z1D4i2zQ+IJ/D9lJrsLRhDHeNAhmUqOFIkLDA4FdBRRX6XFcsUj8JrVFVqymkldt2Wyv0Xkgrz79pHSBqfgi0uDpguDY6rHcK+0kwHZIm8Y9nK88YY16DRXLj8J9ewVTD83LzJq/YrD1fYVo1LXs7nL/BbwkfA/wt0bwyxl3QWxdhPjeGkdpCDgDGC5GPauooorahSVCjGmvspL7lYznJzm5dwrxbV/h+2sftNw6k2myW/k6nFqsk0KnE5jtPIVmJyOgVOMfcHvXtNFcmYYBY/wBleVuScZ+tuhth8Q8PzWV+ZNfeFFFFegc4UUUUAeL/AAX+H5sPjZqniNtMksxp0OoQiGNSIt93dRTOctySTHuGD0cnuK9ooorz8swCy3DexUubVu783c6MViHiavO1bRL7jl/jdf8AjnSvgv4v1T4YWzzeJbbwvqEvh2GKESNJfLbSGBQrcMTIEGDwelfm9Z/G/wALeG7n4A2PhT9pm+0CLV/DV+/iDU18QWttc3Vn9hRpJbqWbJjlOoxwqw4Jl85SPkYL+pNcD8LP2W/2efgl4y8U/EL4UfCPRtC1rxtffbPFOo2NtiTUZ98j73ySB88sjYXAJcnGa83O8lxGa16M6dZ0+S+1769Vqtem+x9HkWd5Zl2W4ijiaPPOV3DSNm3GULTb1Sjzc8LJ+8rNK/NH59+Akfg34s+NbRvC3xdk8aT2+u2N7qmrLr8Gozxi2lWaKOR4vlRP3ZABAJ3Ng5PH2BTY4YYc+VEq567VxTq6smyqWVUpxlVdRyd236Jd3+Z4GMxaxc4tR5UlawVzF78LtJvfiJD8QpLt/MiQbrbYNrSBdqvnrwO3qB9D09FehiMLh8UoqrG/K1JeTWzOenVqUm3B2urfJnNfEb4aad8RoLSK9v5LdrSYsHjQMWRsbl56ZwOe3oa6KCGK2gS3hXakaBUUdgBgU+inDC4elXnWjG0p2u+9tglVqSpqDei2+YV+G3/B0Z4o+Lo/as8A+GdTur+Lwba+DPtnhxQpWBtRa5lW7dWH3pFRLQHuoK4xu5/cmuE+OP7MfwB/aWt9FtPjz8KdI8Ux+HdUXUdFTVYC4tbkDG9cEZBGMqcq2BkHArgzvLqmaZfLDwlyttPy0fX+tz77wv4ywfAfGFLN8VQ9rCMZxaVuZc0Wrxvpfo/7rZ8G/ss/HWy+IvwB+H978cP2xLvV/Eeo6Np9xq/h/V/HNmVmvvkdEe3XD7xII2CZzuAzzkV95/s7eEm8J/DkLIJg+o6jc37pMMFTK+cAYHGACM+tdt9ktQ24W0ec9dgqSuHKshrZfjHiKuIdR8vLqtldPdt9j5jN83p5nVqTp0Y0lOblyx2V29ErLRXsvJBXP/FT4V/Dv43fD7VPhV8WfCNnr3h3WrcQ6ppN+haK4QMGAOCCCGVWBBBBUEEEV0FFfRyjGcXGSumeRRrVcPVjVpScZRaaadmmtU01qmnqmtjB+HXwv+Hvwl8DaV8NPht4QsdH0HRLJLTStMs4QI7eFRwozkn1JJJJJJJJJrdVVUBVUADoAKWiiMYxSSVkhVatSvUlUqScpSbbbd229W23u31YV4f/AMFK/EfxY8I/sE/FbxJ8D5L1PE9n4OupNOm02PdcRLgCaSMdQ6wmRgRyCuRyBXuFJJGkqNFKgZWBDKwyCPQ1nXputRlTTtdNX7XW52ZXjI5dmdDFypqapzjJxe0uWSfK/J2s/I/nk/4IZfGDxP4M+JHjPwZqn7Quo+CPCNxoiX1wkHiO30+KfUVmjjiOZgct5TTZC9Qo3fdWv14/ZWsPCnj/AMdaX4t8I/EA+KIdJ1G5vb3XYtWivjcXLWsluRNNHlSwSZflGCAq9gc+0fAn9mD9n39mTw9f+FPgH8JtH8LadqmpvqF/a6Zb7VmuWVVLncSfuqoAHAA4Aruo4o4htijVR6KMV8fgOFMThp0ZVcS2oSUuWz5bp30u/wBO5+geJHHuB404nxOZ4TC+yjVUYq9uZ2io3lbS7t32S7DqKKK+1PzAK8W/aY+Hg8c+LtO0waZIDqunHT2vbdT5mwyEsuTlRtB3DI7kngV7TRXn5ngFmWEdBy5VdO/o0zowuIeGq+0Svv8Aigooor0DnCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArx/8AbN/bq/Zy/YI+H2n/ABJ/aO8UX1jY6tqhsNMtdI0a41C7uZVhknlZILdGkKRQQyzSPjaiRsxIr2Cvgf8A4LceHPiXoHiL4N/tH+D/AILeK/HukeD18a6Nrmh+C9Ek1K+SbW/DN3p9lN9njyxi+0lInfpGs+48A0AfdPhXxR4e8ceF9N8a+EdYg1HSdYsIb3S9QtX3RXNvKgkjlQ91ZGVgfQ1fryL/AIJ//Cbxn8Bv2Fvg58E/iLHs1/wn8MNC0nW4t4byru3sIYpY8jghXVlz32167QAVzPxm+L3gb4BfCrX/AIz/ABLv7i20Hw3psl9qc1pYy3MoiQZIjiiVnkcnAVVBJJAFdNXIfH74gaV8K/gn4p+Iet6JrWpWuk6JcTz2HhzRptRvpwEI2wW0CtJM5zwigk0ARfs7fHz4c/tSfA7wv+0P8Ir66ufDPi/SItS0Se9s3t5Xgk+6Xjf5kPHQ812lfIv/AAQp17Ur3/glr8KPBviD4feLfDGseD/D8eg65pPjLwvdaTdJdwKrOUiuURpIv3g2ygbWIYA5Bx9dUAFJJIkUbSyMAqgliewpaSRxHG0jAkKCSAMk0AeJfslf8FCv2Y/21/Efi3wd8DPEWsPq3gqW2/tvS/EHhu80u4+z3Ic215FHdRo01tMI5DHMoKttOO2fbq+Av+CQ/wAWdQ/ae/ag+Pf7WHxX+EHxG8HeOfFV5Y6Xpmg+Mfh7qGkWmkeFdOluYdNt4rm5iSO7uZmkuLufyyQhuEQcJk/ftABRRRQB4jdf8FCv2aNP/bHsv2FtS1nXbXx3qcUx0trrwveR6XfTw2q3ktpDftGLeW4S3ZZWiVyyqecHivbq/Pb4z6d4p+Jv/BdH4O+Kfhd8H/i5He+AbfWrL4h614l0q4/4QyPQptIcwXemyyFrcXsl3LDCXg2zFY5EkG1RX6E0AFFFFAHln7WH7ZfwC/Yq8J+HfGX7QHiqXTLTxX4xsPC+gpbWb3Et3qV45WGJUQE4+VmZuiqpJr1Ovy+/4OD/AIJftsfEnxN4C+IHwL/ZeX4m+FPCcujNZw2niYWt1pWuSeJ9Lle4+yrBLJcK1taJbmYbVtorm5lbcqstfp3p017cafBPqNmtvcPCrT26y7xE5ALKGwN2DkZwM4oAmooooA80/aw/au+Ff7GnwoHxi+L1tr1xpsmtWWk2tl4Y0CfVL+7vLuYQwQw21urSSu7sFAUE811Pwk+Jej/GT4aaJ8U/D+ia3ptlrunpd21h4k0abTr+BGHCT206rJA47o4BFeFf8FYfCHwh8ZfsofZPjj4O+LuseH7HxXpmoyH4H2txL4hsbi3lMtvdQi2/fqqTLHl4fnUlTwoYjU/4JTL+0mn/AATv+E6/teNrJ+IX/CML/bx8SNnUtvnSfZvtZ6/afs3kebnnzN+ec0AfQdFFFAFbWdY0rw9pF34g13UIbSxsbaS4vLu4kCxwxIpZ3ZjwFCgknsBXl37IP7bHwH/bk8CX3xJ/Z/v9budIsr8W63Ot+GrvTftaNGskV1bi5jQz20qMGjmTKOM4PBFXf21vhr4v+M/7G/xZ+D/w+I/t7xV8NNd0jRMvtBu7nT54YRk9Pndea+P/APg3o8NftD+Efgt438PfE3TfizY+C7G48PWngrTvjKs66pa30Wh2setxwLcfvEsF1BXWBR+6Cq3l/JigD9DaKKKACvnz4R/8FLv2efjJ+1lqn7FmieGviDpHjjTLHUb7yvFPw+1DTLO9tbK5S2nuLa5uI1juIvMkQLJGSrhgQTkV9B18ofs5+B/GfxG/4KofHz9pvxp4T1Sw0nwn4X8P/Df4f3WpafLAl7AqPq2qXNuZFAlia5u7eHzEypazIzlTQB9X0UUUAFeBfGr/AIKYfskfs/ftQ+Gf2QfiX4z1O28Y+KH09LVbXw/dXFjZPfzyW9gl3dxoYrVrmaKSOISMC7KQK99r8oP+Ckfwb+OPir/gs18P/G/h34E+OtXmj1D4dt4B1nQNCkm8My2tprV/Nr767Ko8rzba1ljltDOd0bvuh+YmgD9X6KKKAP/Z", 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", "info": {"equation": "4+18*5=94", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "f6896395d4ba5b64ee7188a965e7922cac6e058581fcb41d4801fc0b0aa7453c"} +{"episode": 30626, "episode_seed": 847471454, "split": "train", "timestamp": "2025-10-28T03:46:23.996762", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 847471454, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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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", "info": {"equation": "71-69=2", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", "info": {"equation": "71-69=2", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "e31ecff254c4cfbfe3c16d49df9f5d8db4cfe8da8a02141ea10d8456ba87b5a5"} +{"episode": 30627, "episode_seed": 136043116, "split": "train", "timestamp": "2025-10-28T03:46:24.074726", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 136043116, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 3, 4])", "action": "('move', [5, 1, 3, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "0+18*6=108", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "0+18*6=108", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "dd5faa873b0392d11ea23a3e7d599524fbfce6145bf1cd1f2e8f8095aae818d0"} +{"episode": 30628, "episode_seed": 334489406, "split": "train", "timestamp": "2025-10-28T03:46:24.138125", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 334489406, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 4, 4, 0])", "action": "('move', [0, 4, 4, 0])", "reward": 0.0, "image": 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nS/4KKfBz4XfGn4deDvh/8VfBFlrei3XjpJJ9PugwR2TTNQZDlCrDDAHg11/7EHh/Q/Cf7M2geFvDGkwWGm6beapa2FjaxhI7eGPUrpEjUDoAoAH0rmyjL62B4knCpWdRqne763aVnq9j5bE5zRq8I/VVzXlUVou3JBRTfNHW/PJtp+7FJX1k5e76xXh3/BSrxN8YvBv7BvxT8T/AJ75PFll4Tnk0yXTIt9zCuVE0kQ671hMrAj5gVBHIFe40EBgVYAgjkGvs69N1qMqadrpq63V1v8j5fK8ZHLszoYuVNVFTnGTjLaXLJPlfk7Wfkz+bX/gi78XfGvgH9qS68O2/xz1LwX4X1rRbiXxRdW2vQ2Mc7Qoxti8k2VLCWTAx8xDt2LV+yvwF+L7eJddh0H4d/tDXHji4ivo5pon8Twai8KthcP5GNsZCn7w/vEGvcfgX+yZ+zb+zN/bf/ChPg3onhb/hI74Xet/2XbbftUo3bSck4Vd77UGFXccAZNegxwQRHMUKKT12qBXxeE4Sx1GnGLxckk78sb23vpqvy3P0vxM8RMt444onmeFwfs4uEY+9bmdl8UrJq+vKtX7sY+ifRRRX3J+TH5pf8HPXin4y6J+x14V0PwPLfxeE9X8W+T42ks4/3bhI/MtIpmHIjMqswB+UvGmeQoPzH/wRG+O/iLT/AIDeJPBXxD/aw1XwjoOi61EnhTSh4wtbCNfNWSW68tJgWK72jY4+UM7Y5LV+s/7engnwp8SP2ZNW8BeOtBh1TRtW1vRLfUtPuc+XcRNq1plW2kHH0INYn/BPj4Z/D/4WfCjxB8P/AId+ELHR9F0zxjPHYadZxYjhU2loxxnJJLMxJJJJJJNfC5pllfGcTclOvKm5U73XSztbdaPf1P2XCeIOXUPCB8NSwSlU9vzc+lrX5uba/tP+Xe1vZ9ehzX7LGg+FfG/jDQfFvgzxd/b1hot/e38mtWupR3i3V1LDcRStLMmVZ2a5kYgYO4dAARX1FSJHHEu2NAo9FGKWvpMnyv8AsnCui5ubcnJtq2rt5vt3PyXGYr63VU+W1lawUUUV6xyHyb/wW+8T/GLwl/wTR+I2q/BSW/i1BrW3g1afTY90sWlyTol42Ryq+SXDMOVQseACR+fn/Bq/rXxWj+PPxM8O6bBdN4Hl8JwXGsSC2BhTVFuUW0Bk6q5he8wo+8FJP3RX7A/tIQQ3P7O/j22uIw8cngvVFdGHDA2koINeF/8ABOP4F/CD4AeJ/G3hH4MfD7T/AA7ptzo2h3dza2CtiWdpNSUyMzszMcKo5PAHFfJ5hh5PirCT5nrGWn+FN/jfU/XuH+O8DlfhTmfDs8IpVK9SMlU0sk+X4ut4ct4W6ye1tfqiiiivrD8hPH9U+Df7El5+17ZfFPV/D3ghvjUmj5sZ5r6EaybMRvF5q25fcyiPzE83YSFBXdgYHri2tqjBktowR0IQV/MX+0j8Y/2qdB/4KheKfid4g8X61o3xJ074izwWt+8i289kiymCCNN3yJELcoig/IYzzlSSf2c8E/HTwmfE0dhoP7Z114hu7wNb2+k3Hj2zuvOZv7kcYDl+ONpz1r4WHGWDoSqxlQafM9ra+ctrPvuftHiL4aZhwtQyydXHrEKtRTV23yWs+WGr/d+97j0v72iPtyisX4eXOt3ngnTbrxEH+2PbgzGQYY8nBYHoSME+9bVfa0Kqr0I1ErcyTs91dX1PxqpD2c3Hs7Hkv7eXiD4ueFf2Mvib4k+A4vP+EvsvBl9NoLadD5lwk4iJ3RL3dRuK4BOQMAnAr+fz/gjz8UfGHgj9s23+z/GO98IaRrWj3sfivV4dZhszLCsTSxq804IGblYenzEn0Jr+l2viH/gm/wDs/wDwV+EfxX07xF8Nvhrpmj3/AIm+HV1d6/d20bGS9m+0aa25y5OPmkc4GBljxXyHEuCqYvNcJGFVwcuZJrpZXutVq9j9f4F4+wHDfAmc5RWwaqzxKjyydrK65fevr7nxwte077bnmHxe8O/sd/FHw14n+JfxR+L+neNdT0fwuw/4SjVPFlvqF/oFvG5kiks2Rh9lkFwVZGQB3k2KS2Qtfdv7J+r/ABP8QfswfDvXfjXBcx+MLzwVpk3iiO9thDMt+1rGZxJGAAj+YWyoAwcivmX/AIKR/s//AAU+LHxWuPFPxJ+Gmma1qHhf4aSXWgXF7Gx+xTeddNvVQQrHdGh+YEfKOK+1bElrKFmJJMS5J+lPhvB1MHmuLpzqObjypt9bpu71eq2PkM7zili+HMJhlzN3lL3rWppe6oU9W7S0lPSOqilH3buWvzq/4OYfE/xi0D9g/TNO+Hs1/F4e1Xxjb23jeWyjyptPLd4UmYcrG1wsXsWCKeoB/RWuY+NHhX4TeNvhP4g8LfHew0i58HXmlyr4kj16VY7MWgXc7Su5AjVQN2/I27QwIIzX0uZYWWNwFShGXK5Jq/8AXTv5HJwVnlLhrizBZpVo+2jRqRk4dX6f3lvH+8kfiR/wQz+M2teHfhb428G+Mv2nL/wV4cs9YtZ9BsIfFNppyS3Mscn2pwJQWc7Y7bJ+6O3JNfU+reDPgb4Y+JHw1+L37Od9pusfEvU/jFY/Y/FOmXsOp6prQuZ0TWluJwWMsS6c9w8n8MCohUR55+/P2c/h9+zv8P8A4N6N4Y/Zh0jw7D4HhSV9EHhq4juLNw0rtI6SozCTMhfLbic554r5b8AfAP4M6J+3hH8etJ+HGmweMtR+KWrWl74hVGNxJALK9XZy21RtjQEqASF5PJz8FichxOAeE58S5J1IJJXtG/WOv3aI/Qc248wec8ZZlm0KEqEZqT9mkv3lko8tZXSSnrKppPVuKWvMvt+iiiv0s/Fj4c+NfjyOw/bY+LVl8bfGcmmabpXgzSH8KQanPHb2segtbu19dwFiBITe+YkznO3ybdTgFd3lH7MXx28O+Mf2ZPCZ+Mv7bF/LdahoITV9F1fx3YW6zWzFlSGaABSgaDYGTgjcQcHNfe/x0/ZO/Zv/AGmb/QNT+Pfwd0XxVceF7xrrQZdVty5tJGKFsYI3KxjQlGyrbBkHFd+bO0JybWMn/cFfGV+F8ZWx9avHFOCm76Xv6PVaLZb6H2+M4jyirlVGlSw3721NTbUUo+zhyLkau37T46l1H3kvi3PKf2XfCIsTrnj3dKRrS2kEe7HlskAlIdOOcmcjOSPlGOhr1qgAAYAor6XLcEsuwMMMpX5VvtfW58fia7xNeVRq1wr8nvHHxt8T+Hf2NNT8a+Jvi7f6N8VpfiWY9VuLm6t4dQtfEP8AbSo9p5cmVijjt1VVGMLaokgO35z+sNedp+yZ+zdH+0DJ+1Snwb0QfEOWy+yyeK/s3+lNF5Qi6527vLAj343bPlzjivOz7J62bxpKnU5OSV/+CvNdPV6n03C+d5VlEaqxtH2ibhONlF3lT5v3cr7U6nN77V37q919PlvQviT8MfFfiux0+P8Aavfxldx3LvpGkah44tL398Y3TzI4o8M0gjeRe+FduO4+ufgR4ObwH8K9M8Ov5wbfc3TrOAHVri4kuCpAAxgykAdQBzzXVra2qMGS2jBHQhBUlRlORVMtxcsRVrupKS5dV0vfdtnh4vHxxNFU4wUUnfT/AIZBRRRX0R5wUUUUAFFFFAHy5/wUb8T+ItD8afBjTNR1q60/wTf+NrkeI7iMqlvLfx2byaXBcyEjZG1wCyjIDzRwrySqt83+Afj9oS/tEfFvw6/7YN74c0DTdW0tNPsbXxfY2MC6gbIC/SPeC0m0pbhiSdshdOCrAfon8VPhV8Ovjf8AD7VPhV8WfCFlr3h3WoBDqek6hHuiuEDBhnGCCGVWBBBBUEEEA1D8Kfg38Lfgd8PtN+FXwl8DafoPh7R4mj03SrCHEUCs7O2M5JJZmYkkkliSSTXyeZcO4vHZo8VTxDppxS0vdeS1Wj3336H2eH4gyijw6sLPD81dLkvaPLy+09p7S/xe0/5d2tbk+19k8s/ZU+IepeOtQt7jw/8AEeTxZo0dk0M+rf2ol4jtHwCZY/kMm7g4wTzkcce80iRxxLtjQKPRRilr2sqwFTLcL7KdV1Hdu78/m/z3PlcXiI4mrzxio6Wsgooor0jmMf4haUuu+Ata0OTTkvEvdKuIJLSTO2ZXjZWQ455BI49a86/Ze8GPpV/r/jOWKeM6hb2ViqSLhdts1y2RxnObhgecfKBwQa9dorza+XKtmdLGOX8NSVu/Np/XyOmGJcMLOjb4mtfQKKKK9I5jzu//AGTP2btT/aAt/wBqjUPg5os3xCtbP7Lb+KntyblIvLaL12lvLZk3kbtp25wAK9AW1tUYMltGCOhCCpKKiFOnTvypK7u7dX3fmdOIxmLxagq9SU+SKjHmbfLFbRV9oq7slogoooqzmPKP26de+KXhf9jv4k+Ifgq9+niiz8I3kukS6VB5t1E4jO6SFMHdKqbmUAE7gMAnAr4d8ffGbwJ4L+J3wP8AD3wt/aRfw5pN9oupLe3ul+IrSHz9BWwQwyyzy7tubuG1VSDl2Eo52tj9Oa86+Cn7JH7NX7OWseIfEHwO+DOh+GbzxXeC68QT6ZbbTeSBnZc5JCqGkchFwo3HAFfNZ1keJzTF0qtKs4cia63V+qs1r0eq0PsMkz3KsvymrQxNDnqe+4aRtJzgoe+3qlTtzwspe9de7fmXzF4Pl8BfGi61Xwr4d+OknjnVdW0z7Bc3B8T2+o3VravvUBREMIgaRmyVxk8ntX3BBEIYEhByEQLz7Ckjt4IjuihRT6qoFPrpybJp5VKrKdV1JTtdtdr+bvufO43GrFqKUOVRvt5/cFfnV/wcw+KPjF4f/YQ0zTvh7NfxeHtV8YW9t43lso/lNp5bvDHMw5WNrhYvYsEU9QD+itYfxJ+G3gP4w+A9V+GHxP8AC1prega3Zta6rpV9HuiuIm6qR1HOCCMEEAgggGu/McLLHYGpQjLlcla/9dO/kezwZn1DhfirB5tWpe1hRmpOOmqXa+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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", 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", "info": {"equation": "96-27=69", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed 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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wTXDxbhp16eG5ZuP7xR0/vdfVW09T7jwm48wHBDzNYnCKv7eg4q9tGr+7K/8Ay7nze/a792OjOY8RH9mz47axpnhr4kftB2XxLjtL5rjR/DXibxpZ6lbG5EbqJharhZpFjaTBZW2hmIAPI9t/4JS319P+zprej6XfXN14M0f4havp3wzuZ8NG2gxNGsSW8gJ862jn+1QwuScxRIASoBOl/wAFFPg58LvjT8OvB3w/+Kvgiy1vRbrx0kk+n3QYI7JpmoMhyhVhhgDwa6/9iDw/ofhP9mbQPC3hjSYLDTdNvNUtbCxtYwkdvDHqV0iRqB0AUAD6VzZRl9bA8SThUrOo1Tvd9btKz1ex8tic5o1eEfqq5ryqK0Xbkgopvmjrfnk20/dikr6ycvd9Yrw7/gpV4m+MXg39g34p+J/gE98niyy8JzyaZLpkW+5hXKiaSIdd6wmVgR8wKgjkCvcaCAwKsAQRyDX2dem61GVNO101dbq63+R8vleMjl2Z0MXKmqipzjJxltLlknyvydrPyZ/Nr/wRd+LvjXwD+1JdeHbf456l4L8L61otxL4ourbXobGOdoUY2xeSbKlhLJgY+Yh27Fq/ZX4C/F9vEuuw6D8O/wBoa48cXEV9HNNE/ieDUXhVsLh/IxtjIU/eH94g17j8C/2TP2bf2Zv7b/4UJ8G9E8Lf8JHfC71v+y7bb9qlG7aTknCrvfagwq7jgDJr0GOCCI5ihRSeu1QK+LwnCWOo04xeLkknflje299NV+W5+l+JniJlvHHFE8zwuD9nFwjH3rczsvilZNX15Vq/djH0T6KKK+5PyY/NL/g568U/GXRP2OvCuh+B5b+Lwnq/i3yfG0lnH+7cJH5lpFMw5EZlVmAPyl40zyFB+Y/+CI3x38Raf8BvEngr4h/tYar4R0HRdaiTwppQ8YWthGvmrJLdeWkwLFd7RscfKGdsclq/Wf8Ab08E+FPiR+zJq3gLx1oMOqaNq2t6Jb6lp9zny7iJtWtMq20g4+hBrE/4J8fDP4f/AAs+FHiD4f8Aw78IWOj6LpnjGeOw06zixHCptLRjjOSSWZiSSSSSSa+FzTLK+M4m5KdeVNyp3uulna260e/qfsuE8QcuoeED4alglKp7fm59LWvzc21/af8ALva3s+vQ5r9ljQfCvjfxhoPi3wZ4u/t6w0W/vb+TWrXUo7xbq6lhuIpWlmTKs7NcyMQMHcOgAIr6ipEjjiXbGgUeijFLX0mT5X/ZOFdFzc25OTbVtXbzfbufkuMxX1uqp8trK1gooor1jkPk3/gt94n+MXhL/gmj8RtV+Ckt/FqDWtvBq0+mx7pYtLknRLxsjlV8kuGYcqhY8AEj8/P+DV/WvitH8efiZ4d02C6bwPL4TguNYkFsDCmqLcotoDJ1VzC95hR94KSfuiv2B/aQghuf2d/HttcRh45PBeqK6MOGBtJQQa8L/wCCcfwL+EHwA8T+NvCPwY+H2n+HdNudG0O7ubWwVsSztJqSmRmdmZjhVHJ4A4r5PMMPJ8VYSfM9Yy0/wpv8b6n69w/x3gcr8Kcz4dnhFKpXqRkqmlkny/F1vDlvC3WT2tr9UUUUV9YfkJ4/qnwb/YkvP2vbL4p6v4e8EN8ak0fNjPNfQjWTZiN4vNW3L7mUR+Ynm7CQoK7sDA9cW1tUYMltGCOhCCv5i/2kfjH+1ToP/BULxT8TvEHi/WtG+JOnfEWeC1v3kW3nskWUwQRpu+RIhblEUH5DGecqST+zngn46eEz4mjsNB/bOuvEN3eBre30m48e2d15zN/cjjAcvxxtOetfCw4ywdCVWMqDT5ntbXzltZ99z9o8RfDTMOFqGWTq49YhVqKau2+S1nyw1f7v3vcel/e0R9uUVi/Dy51u88E6bdeIg/2x7cGYyDDHk4LA9CRgn3rar7WhVVehGolbmSdnurq+p+NVIezm49nY8l/by8QfFzwr+xl8TfEnwHF5/wAJfZeDL6bQW06HzLhJxETuiXu6jcVwCcgYBOBX8/n/AAR5+KPjDwR+2bb/AGf4x3vhDSNa0e9j8V6vDrMNmZYViaWNXmnBAzcrD0+Yk+hNf0u18Q/8E3/2f/gr8I/ivp3iL4bfDXTNHv8AxN8Orq71+7to2Ml7N9o01tzlycfNI5wMDLHivkOJcFUxea4SMKrg5cyTXSyvdarV7H6/wLx9gOG+BM5yitg1VniVHlk7WV1y+9fX3Pjha9p323PMPi94d/Y7+KPhrxP8S/ij8X9O8a6no/hdh/wlGqeLLfUL/QLeNzJFJZsjD7LILgqyMgDvJsUlsha+7f2T9X+J/iD9mD4d678a4LmPxheeCtMm8UR3tsIZlv2tYzOJIwAEfzC2VAGDkV8y/wDBSP8AZ/8Agp8WPitceKfiT8NNM1rUPC/w0kutAuL2Nj9im866beqghWO6ND8wI+UcV9q2JLWULMSSYlyT9KfDeDqYPNcXTnUc3HlTb63Td3q9VsfIZ3nFLF8OYTDLmbvKXvWtTS91Qp6t2lpKekdVFKPu3ctfnV/wcw+J/jFoH7B+mad8PZr+Lw9qvjG3tvG8tlHlTaeW7wpMw5WNrhYvYsEU9QD+itcx8aPCvwm8bfCfxB4W+O9hpFz4OvNLlXxJHr0qx2YtAu52ldyBGqgbt+Rt2hgQRmvpcywssbgKlCMuVyTV/wCunfyOTgrPKXDXFmCzSrR9tGjUjJw6v0/vLeP95I/Ej/ghn8Zta8O/C3xt4N8ZftOX/grw5Z6xaz6DYQ+KbTTkluZY5PtTgSgs52x22T90duSa+p9W8GfA3wx8SPhr8Xv2c77TdY+Jep/GKx+x+KdMvYdT1TWhczomtLcTgsZYl057h5P4YFRCojzz9+fs5/D79nf4f/BvRvDH7MOkeHYfA8KSvog8NXEdxZuGldpHSVGYSZkL5bcTnPPFfLfgD4B/BnRP28I/j1pPw402DxlqPxS1a0vfEKoxuJIBZXq7OW2qNsaAlQCQvJ5OfgsTkOJwDwnPiXJOpBJK9o36x1+7RH6Dm3HmDznjLMs2hQlQjNSfs0l+8slHlrK6SU9ZVNJ6txS15l9v0UUV+ln4sfz/AP8AwcoeLPjRef8ABQiPw940uNQi8M6R4YspPAcboUgEciK11NERwzm5V1ZvvfukHRVr7D/ZZ/aCtfiD+y14O1D9of8Abav5ta1fw3GfE+jat8QLGNJg+4GGaLhgGiKhlJDYY5IOa++vjn+yf+zh+0xf6Bqfx6+D2i+KbjwveG60GXVbcubSUlC2MEblYxplGyrbRkHFd+bO0JybWMn/AHBXxlfhfGVsfWrxxTgpu+l7+j1Wi2W+h+w8R+JmWZ1wLlORU8Co1MGmpT0s9Le7o37/AMdS9vfS33PKf2XfCIsTrnj3dKRrS2kEe7HlskAlIdOOcmcjOSPlGOhr1qgAAYAor6XLcEsuwMMMpX5VvtfW5+S4mu8TXlUatcK/J7xx8bfE/h39jTU/Gvib4u3+jfFaX4lmPVbi5ureHULXxD/bSo9p5cmVijjt1VVGMLaokgO35z+sNedp+yZ+zdH+0DJ+1Snwb0QfEOWy+yyeK/s3+lNF5Qi6527vLAj343bPlzjivOz7J62bxpKnU5OSV/8AgrzXT1ep9NwvneVZRGqsbR9om4TjZRd5U+b93K+1Opze+1d+6vdfT5b0L4k/DHxX4rsdPj/avfxldx3LvpGkah44tL398Y3TzI4o8M0gjeRe+FduO4+ufgR4ObwH8K9M8Ov5wbfc3TrOAHVri4kuCpAAxgykAdQBzzXVra2qMGS2jBHQhBUlRlORVMtxcsRVrupKS5dV0vfdtnh4vHxxNFU4wUUnfT/hkFFFFfRHnBRRRQAUUUUAfLn/AAUb8T+ItD8afBjTNR1q60/wTf8Aja5HiO4jKpby38dm8mlwXMhI2RtcAsoyA80cK8kqrfN/gH4/aEv7RHxb8Ov+2De+HNA03VtLTT7G18X2NjAuoGyAv0j3gtJtKW4YknbIXTgqwH6J/FT4VfDr43/D7VPhV8WfCFlr3h3WoBDqek6hHuiuEDBhnGCCGVWBBBBUEEEA1D8Kfg38Lfgd8PtN+FXwl8DafoPh7R4mj03SrCHEUCs7O2M5JJZmYkkkliSSTXyeZcO4vHZo8VTxDppxS0vdeS1Wj3336H2eH4gyijw6sLPD81dLkvaPLy+09p7S/wAXtP8Al3a1uT7X2Tyz9lT4h6l461C3uPD/AMR5PFmjR2TQz6t/aiXiO0fAJlj+QybuDjBPORxx7zSJHHEu2NAo9FGKWvayrAVMtwvsp1XUd27vz+b/AD3PlcXiI4mrzxio6Wsgooor0jmMf4haUuu+Ata0OTTkvEvdKuIJLSTO2ZXjZWQ455BI49a86/Ze8GPpV/r/AIzlinjOoW9lYqki4XbbNctkcZzm4YHnHygcEGvXaK82vlyrZnSxjl/DUlbvzaf18jphiXDCzo2+JrX0CiiivSOY87v/ANkz9m7U/wBoC3/ao1D4OaLN8QrWz+y2/ip7cm5SLy2i9dpby2ZN5G7aducACvQFtbVGDJbRgjoQgqSiohTp078qSu7u3V935nTiMZi8WoKvUlPkiox5m3yxW0VfaKu7JaIKKKKs5jyj9unXvil4X/Y7+JPiH4Kvfp4os/CN5LpEulQebdROIzukhTB3Sqm5lABO4DAJwK+HfH3xm8CeC/id8D/D3wt/aRfw5pN9oupLe3ul+IrSHz9BWwQwyyzy7tubuG1VSDl2Eo52tj9Oa86+Cn7JH7NX7OWseIfEHwO+DOh+GbzxXeC68QT6ZbbTeSBnZc5JCqGkchFwo3HAFfNZ1keJzTF0qtKs4cia63V+qs1r0eq0PsMkz3KsvymrQxNDnqe+4aRtJzgoe+3qlTtzwspe9de7fmXzF4Pl8BfGi61Xwr4d+OknjnVdW0z7Bc3B8T2+o3VravvUBREMIgaRmyVxk8ntX3BBEIYEhByEQLz7Ckjt4IjuihRT6qoFPrpybJp5VKrKdV1JTtdtdr+bvufO43GrFqKUOVRvt5/cFfnV/wAHMPij4xeH/wBhDTNO+Hs1/F4e1Xxhb23jeWyj+U2nlu8MczDlY2uFi9iwRT1AP6K1h/En4beA/jD4D1X4YfE/wtaa3oGt2bWuq6VfR7oriJuqkdRzggjBBAIIIBrvzHCyx2BqUIy5XJWv/XTv5Hs8GZ9Q4X4qwebVqXtYUZqTjpql2vpzLeP95I/EH/gh18c/E+j/AAo8YeBvHn7U+q+DvDOlanbP4Y01fFtrp8XnTCZrsxrMCxGRCSB8oLEjlmr9Mf2YdD8I/EDxfofiPwZ43/4SK00fWLnUbrW7bVIr37TdNBPE/nTJlS5+0EkDB4Havf8A4P8AwP8AhJ8Afh7YfCn4N+ANO8P+HdM8z7DpVhDiOIu7SOfmJJLOzEkkkk11EcccS7Yo1UeijFfMYPhTEUalGdXFOSptS5bO110V3p92x7fHXGmE4r4mxuZ4bCqlGu9Fpe1lG8rL4pW5pav3m9XuOooor7Q/PQooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK5D4+fHf4V/sxfBvxD8ffjb4qi0Twr4W05r3WdSlRn8qMEABVUFndmKoqKCWZlABJrr6+Tf8Agt78Ffif8ef+CbPjjwd8HvCV54h1zT9T0LXovDunR77jVINN1izvp7aJP45Ght5NqdWYKo5NAHsn7Jf7XnwP/bX+FB+MPwG129utNg1a50vU7LVtKmsL7TL+3YLNa3VtOqyQSrlSUYA4dT0Ir06vi7/gjb4W8f6hB+0F+0v4r+GviTwfo/xj+Peo+JvBugeLtIk0/URpgsbK0S5ntZMPbvLJbSNscBtoUnqK+0aACiiigDxv9sr9vH9nP9g3wvoHi39onX9TsrXxLrsWk6SulaHcXzvcSMqguIUYRRgugLuQuXUckgV7JXwx/wAHCPizUrX/AIJ/3Pw18NfCzx14r1rxP4v0FtNsfBHgu91h41stXsr2d5haxuYV8mCQqzYDMAo5NfZXwx+IGlfFf4c6H8TdC0rVrCy8QaVBqFpZa9pUtjewRyxh1Se3mCyQSgHDRuAykEEAigDdooooAK8C+JX/AAUv/ZN+EX7Vmhfsc/ELxTrWneLPEWo22m6bezeFr3+yG1G5hM1vYNqPlfZhdSRgMsW/dgjOM177X5x/t3fGu/8AjV/wVc+EP7KPxT+CvxSt/hX8MPEmk+Ll8Q+HvhlqepWPibxdIdmmwvewQtDaWNkJzPPK7cyYRtqxs1AH6OUUUUAFFFFAHgX7O3/BSz9lX9qD4/eIv2ZvhjrviGLxd4c0x9Tex8Q+Eb7TE1LT0uTate2UlzEi3duJhs82PKkkYyOa99r81f2DtK8U/ED/AILSfET9pP4Y/BT406B4K1j4UTWHxAu/jXo9zD9i8RDVxLBYaM90WK2giM7tHbMbbOwr2r9KqACiiigCO6uraxtZL29uEihhjLyyyMAqKBksSegA5zXlP7GP7bX7Pf7ffwhn+On7M3ii51nwzBr95o41C50+S2824tmVZCiyAFk+YFXHBBrE/wCCl/w//aF+LH7DvxA+F37LmiQ6l4w8R6ZFptvp82uJphubKa5ijv4ku3Vlt5Gs2uVSQq21mU7SRivnr/g3y8FfHv4bfs/fFzwP8bf2V3+FEEPx/wDFF14e0NtUNyn2ea6y0UBMEXmW0JVY4rlQUuEAkUKOKAPvqiiigArxr9sT9un4K/sQ6b4Xvfi7pHi/U7nxlrUuleHNI8EeELvW768uY7aS5dVt7RHkIWGKRyQOApPavZa+Hf8AguR4I+Gnif4M+FfEXjnwT+0Bf6x4evNVvPAusfs+Wt2+o6Xrb6dLbwNO9n+/ijkEzoGH7s/MJCFOCAfZngHxlp3xE8DaN8QNI07UrO01zSre/trTWNOks7uGOaNZFSeCUCSGUBgGjcBlYEEAg1rV5J+wSn7Qkf7FHwpT9rBrg/EoeAtL/wCE3N4VM/8AaX2ZPO83b8vm7s78cb91et0AFFFFAHiPxs/4KGfsxfAL9obwz+y3468R6xP4z8TwQXMenaF4avNRTS7We4+zQXV/LbxuljBJPmNZJSqlgecDNe3V+PP/AAUR+AX7ZHgv/gsbqnxq/Z/0r4wrrnxAHw7T4cav4HFz/wAIz5VhqLxa7ba+0f7lYksnllRJ/lP2himX6fsNQAUUUUAFfNfwL/4Kqfs0fH79p5v2QfDnhb4k6H43Ok3up29l40+G2paPDdWdpKsU08Ut1EiyR73UBlyCWGDzX0pXx5+yb4C8c/FX/gqb+0T+1/8AEHwZq+maX4Z03R/hd8M5dY06W3+1WNtH/aOqXUHmKPMhlvblEWVMq/2U4JxQB9h0UUUAf//Z", "info": {"equation": "96-27=69", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "f7161ee4331d82e85ce528b640b3504c77b1a14ba2a8f69a30224f3a1b90d627"} +{"episode": 30629, "episode_seed": 163662608, "split": "train", "timestamp": "2025-10-28T03:46:24.205224", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 163662608, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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+2*1=10", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "8+2*1=10", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "6c713bfae9a44b2b2130f69c7579a9322e5d2d8e5dd915109422966c12c80436"} +{"episode": 30630, "episode_seed": 3365407756, "split": "train", "timestamp": "2025-10-28T03:46:24.265864", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3365407756, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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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aMXUsQ6h0tjO4YfMpXcvIFe+U2ckQuV67Tj8q+tr0nWoSpp25k1dbq63XofM5TjoZZmtDGSpqoqU4zcJfDJRknyy8pWs/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+Lvjn4N/4Jt+K7/4GS6jDJc39raeKrnS4t0sOjSF1uSSPmRCfLR2XojtnCliPx+/4IufFTxd8P8A9qi40Kz+M954K8M6voU7eJ7611m3sFlEKMbZWlmBGfOcAKvJ3HtnH9Cf7UsEN1+zH8RrW4iDxyeA9XV0YZDA2UoINfO37AP7OnwM/Z9+OWr6F8Fvhhpfh211LwWlxfxWKMTcSi7CqzM7MxwOAM4GTgcnPwnEGAq4riHDRhVcHNNJr7PKm9NVufuHCPiPl2ReFuZcP1cEqlStK6npZ83KrzvrzU7c0LX1tta78x17wx+yR8e/EA1L4s/FXQvijeabo91HbReMPF1rqiaZZsAbqSKIMEgBATfPtDAInzrtFe9/8El77xJdfsdWNjfy3k3h3TfEmrWPw7ur63WN5/DcN06ac4xjfH5IARz96NUOSCGON/wUK/Z3+CH7QPxZ+HXh340fDPTfEVjYaHrtzZ218HCxSm40pS42MpPykjByOelexfsYWlrYfsp+AbCxto4IIPDVvFBBCgVI0VcKqqOFAAAAHAAp5DgamD4jxFOdVzcYq7fW9nrq9tlqfFZjndGvwhSwi5pSlO/LK3JSUefSnq3efNeXuwSta0r3Xp1FFFfdHwh4l8dPgb+wN46/aC8HeNv2g/DfgG4+JNq0K+C38QahDFqM5jmLxLDC0im42yklRtfDE45Ne0mztCcm1j/74FfzIf8ABV/4gftC6l/wUk+JGufGLVdYtNe0LxfPB4ZebdBJZaXDOzac1vtxsTyTHKrL95nL53MTX6m/s3ftJT+IPgR4K8U/GH9vHU7fxVeeHrO58QWk/wAQtPh2XTIGdWiC/Jz1Xt04r4aHGGDw+KrQnQatK14pXdtLy21+8/cuPfC3MeG+GMpx1TMVXVaGkG3andKdqWrvDXVpR1s7e9p+kqqqDaqgAdABS15V+zb4v8R+Mhe6zLrTanpN1Alxa34n82KRn+YGJxlWVlOflOMbcdefVa+qyzHwzPBxxEYuKd9H5Ox+K4rDywtZ0272Ciiiu85wr+az/guP4u+OXib/AIKSfECw+NsuorHpN+LTwhbXsWyKLRgN1sYAPlKOGZyw+87Pn5sgf0p18Sf8FCP2cfgV8b/2hb3xH8XPhfpfiC98O/DKzl0WbUUdvsrm61NyQoYKwLRocMCPl6cnPyXGlJzyfn5rcsk7d76frc/XfBjjnA8B8UzxmKw/tYzpyhpbmi7p3jfSztyy20d9bWftX/BNTX/jH4o/YN+FmvfH63u4vFlx4TgOpC/tRDOyAsIHkQY2u0AiY5AJLEkAkivca5z4PMW+EnhZmOSfDliST/17pXR19Ph4Olh4QbvZJXe7stz8wzTGRzDM6+KjTVNVJykox+GPNJvlj5K9l5IKKKK2OE+Cv+DjPxZ8cvCv/BO+5T4PS6jFpupeJ7Wx8eXGnRZKaPJFPuWRhzHE9wLaNiPvB9h+ViD8Tf8ABrnr/wAYrb9qjxx4b8OwXb+B7rwgs/ih1tg0Ed9HMBY7pCPkcq92FUH5gH4O3I/X39tnStO139kb4jaHrFmlxaXvhC9t7u3k+7LE8RVlPsQSPxryX/gnt8CPg7+z58U/Hng34J/DvTvDemXPh/Rbq4tNOVsSzG51Rd7M7MzHaoAyeAOMV8ZmGGk+LsNPnesW/TlT09H1+Z+2ZD4iZflvhBj+Gp4NSq1Z3U9Le84+9Lrzwt7jXltbX6rooor7M/Ez4m+PPjHXov8Ago3q/h/4n+I7my0uz+G9pJ8NLC8kWGzuhJLK2rzREkedOhhtA45McXOApyfFP2YP2itD1e18eJqP7bupaTodp8TdXh8G2yeNdPsozpu6Ny0SFcvF9qe7CSHO9ApBIwT+gn7Q37LH7PX7V/hiz8G/tE/CjSvFenade/a7G31JGzbzbChdHRlZcqxBAODxkHAx1/h3wl4X8JeH7Hwp4Y8PWdhpmmWcVpp1haW6pFbQRqEjjRQMKqqAABwAK+MxPDGMr5nVxMMS4KXa9/R6rRdD7qvxLks8lhRjhr1uWEJXUVCKgrc8HrJzqWTndKz5tZcy5flv9n7wx4O+JutaDceCPGI16w07xH/at1rVlqcd59oukkeaRppkypZ5HJbGDluMV9a02OOOJdsUaqPRRinV7eS5T/ZGHlTdRzcpOTbVt7eb7dz5HG4v65UUuWyStYK8O/4KTeJPip4Q/Ye+IXiL4M3mrWuu22lQ5vNBt/NvbSxa6hW+ngXBPmx2ZuJFIBZSgIBIFe40detenXpOtQnTTtzJq63V1a69CsrxkcuzOhi5U1UVOcZOL2lyyT5Xvo7Wej0PzE+Pvxl8F+AfEfwM0r4PftAx+G4b7XVtkutE1+0jEvhn7HIJ5GmkLBIt0FuFkB+Z1Kgk8V6j4b+Ivwx8XeKdPtP+Gpj4z1GKSRtI0zUPG1pfNHKYnVpIoosMX8ppFzzhWbjuPpz4G/sZfssfs0+INd8VfAf4G6B4Y1DxK4bWrrTLUq1xh2cKMkiNNzsdibV6cfKMelLa2qMGS2jBHQhBXw1Hg7GrDeyli2k73ik3H/0pX89D6bN+IMnqVqccDQbjBfHNRjOTbb1UeZLlvyr3ndK+l+VcZ+zx4JbwD8LrbR5BOHutQvtQkS5ADI11dS3BXGBgAyYAPOMZya7eiivt8LQWFw0KKd1FJfcrHx9Wo6tWU31bYUUUVuZhRRRQAUUUUAfNP/BVjxD4x8Pfsx2P9iapqGn+Hb/xzo9l8RtR0xQHtfDss+27Z36xQsfKjlkH3YpHyQu5h8yfGf46aR4b/a/+HHh3wt+0k/ha1vvDGry+LzpHiGztYvsPlxSWMkk0mdpadh5YB+dGYgFQSP0o1jR9J8Q6RdaBr2mQXtjfWz297Z3UQkinidSrxurAhlZSQQeCCRXBfs9fsj/s2fso6DqHhr9nj4PaP4VstVu1udSj0+Ji1zKq7FLvIzMQozhc4G5iACxz8rm/D+JzLMoYmnXcElbrdb/Dqt766r5n22UcQ5Pgsklh8Rh+erH2ijpHkl7SKjzTb95Sp/FCykm+X4OVuXzL4E8dfD3xl4vh/sf9og+O9bitJI7G3uvFttqM9vCzxtKIo4cEBmjh3HB+4nTv9cfBPwSnw4+Enh7wNHJMw0zSooc3BG/gc5wAM8+ldKltbxNujgRT6qoFPrpyfIp5ZialepWdSUkldrt53dz5rGY+OKpxhGCil2/4ZBRRRX0J5x5l8Uf2NP2WvjV8V9C+OXxW+B+g674t8NeV/YmuX9sWmtvKkMsY4IDhJCWUOGAJOMZr0k2doTk2sf8A3wKkoqI0qcJOUYpN76b+vc6q+OxuKpU6VarKUaatFOTait7RTdoq+tlYRVVBtVQAOgApaKKs5QooooAK8I/aY8ESa/45aSLQ383V9CXTBeW6MXlQNMQncZUzSMOP4iTkV7vRXl5vlizbBPDufKm0777HVg8U8JW9olczvCGhR+FvCel+GYpHddO06C1V3ILMI41QE44zx2rRoor00rKxzN3YUUUUxHNfGPQU8UfC3XfDs2jpqEd7p0kMtm4YiVGGGGF5J25wB3xXB/sxeCpLLxDr/wARJxOr6lY2WnqsgARlt5LqTcvGSc3LAnOPlA4INew0V5dbLI1s1pY1zfuJq3R3vrf5/kdUMU4YSVC3xNO4UUUV6hyhRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUVBqtpLqGmXNhDctC88DxpMnWMspAYe4zmgD54/Z3/AOCrv7EX7Uv7Qmp/sy/Bv4nXd94lsFvmsZLrQrq2sNbWym8m8OnXcqCG9EEh2yeUzbeTyATX0dX4qf8ABK39m/8AaZsP2if2Qv2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+EtK+M/7KV3pt98Wbjx3bP4O8VaJfw6jrGvaxcXcKXcE0+5mu0kheQToxKJGWOEGTX6m1+f8A4b/Zw+BOj/tYp+0Fpnwu0uLxrefHC9huPEYRjcMh1S4jIGWKqSiKmVUHGRnk5/QCvS4PoSo0sSnJu1Rx+7r6u+voj4Hi7N6WY4bB0YynNwi5Oc/i9/l/dr3pfu4crcbtXc5vljewV4H/AMFRfFXxv8EfsAfFHxV+zm+oJ4vsvDu/TptJh33MEJmjF1LEOodLYzuGHzKV3LyBXvlHXrX1tek61CVNO3MmrrdXW69D5nKcdDLM1oYyVNVFSnGbhL4ZKMk+WXlK1n5M/l8/4JZ/Evxv8Ov21fC154W+J934UtNWeSy8T6xbalDakaawEsoaaYFUBaKM56kqAOTg/rzrVp+zR8e/EWjaX8S/jrp/xPn0+4km0Lw94n8Y2mqW6XDRkNMlmuEllEe8BmV9qs+MZJr6d/ZZ+Bn7Avwy8Y+MtU/ZE8M+AbfW7q8WLxqfCV/DczW8vmSssMypI/2b5xL+7wgyh4+QY5T/AIKQfBX4UfHDQ/h74B+LXgOx13RpPGM872F2GVDJHpV8UbKFWyCT3r83xPDWKwWT1KjxTcUm+VX5Xr6/fpuftXH3iRgeM+OqONo4aeEUYRg5WXttm27JxvpLliudXju0nZc9/wAEiRHpnw8+I/g34fs7/C/Q/iPdW3wwkjRTai0aGKW9itJVz59umoPdoj5YcEBjjj65rxj9gXwr4b8C/s3Wngvwbodtpmk6V4l12103T7OPZFbwpqt0FRR2AH4nqck17PX3OS03TyihFu/uR/FX/DZH5DxLj4ZpntfEwjZSl13dklzSfWc7c031k2wr+dX/AIOE/Fvxw13/AIKQeI/D3xWm1FdE0iwtE8BW11Fst1014UZ5YAOGDXHnhn5JaPaT8gA/oqrzT4//ALHP7L/7U99oup/tC/BPQ/Flx4ekd9Hm1W3LNb7ypZcqRuUlFJRsqcdKwz/Kqub4H2FOfK7p67Pyf5+qPtPCTj3AeHfFTzPGYd1oOnKGluaLdmpRvZX05Xqvdk/R/mV+wj8Tfid8Qv8AgnTqvxG+NnxFv7jW28Swef4kvb9BcQ20B02O3laborRwRx/O/wAw2ZfJya/RX9mjx/rfjzVxq2k+MT4h0SeyJ/tOO9W5hkKEIrpIhKFiVIO3r83GRx5D8a4IIPib8QbeGFEjX4i+H1WNVAUD7PoYwB6V9kIiRrtjQKB0AGK+V4fyitLMqs/bu1KpZr+drq9evz3PB4mzmlmOLq4qNCMFXcpqK2gpS5uWOi0jey222Fooor9FPjT4y/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+WPkr2XkgooorY4T4K/wCDjPxZ8cvCv/BO+5T4PS6jFpupeJ7Wx8eXGnRZKaPJFPuWRhzHE9wLaNiPvB9h+ViD8Tf8Guev/GK2/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/R6rRdD7qvxLks8lhRjhr1uWEJXUVCKgrc8HrJzqWTndKz5tZcy5flv9n7wx4O+JutaDceCPGI16w07xH/AGrda1ZanHefaLpJHmkaaZMqWeRyWxg5bjFfWtNjjjiXbFGqj0UYp1e3kuU/2Rh5U3Uc3KTk21be3m+3c+RxuL+uVFLlskrWCvA/+Covir43+CP2APij4q/ZzfUE8X2Xh3fp02kw77mCEzRi6liHUOlsZ3DD5lK7l5Ar3yjr1r069J1qEqaduZNXW6ut16GmU46GWZrQxkqaqKlOM3CXwyUZJ8svKVrPyZ/MF/wSu+LfxH+Gn7ZPhyLwh8XtR8I6br0rWni7UbTV47RZNPAMr+ZJN8gwyKQT82eBycH9k/DfxF+GPi7xTp9p/wANTHxnqMUkjaRpmoeNrS+aOUxOrSRRRYYv5TSLnnCs3HcfTvwO/Yz/AGWf2avEOveK/gR8DdB8Mah4mkDa3daZalWuMOzhRuJEabnY7E2r04+UY9JW1tUYMltGCOhCCvhqPBuNjhvZSxbSd7xSbj/6Uvnofqnih4m5Zx1xLHMcJgvZxjCMLy5eeTV227JrS/LHV6JPS9lxn7PHglvAPwuttHkE4e61C+1CRLkAMjXV1LcFcYGADJgA84xnJrt6KK+3wtBYXDQop3UUl9ysfj9Wo6tWU31bYUUUVuZnzx8TfhY3i/4yX2ivo8tr/a+u2F/cz2inMwtzbbZSWBH3LaND24xwa+h6KK8rLcrjl1StNTcvaSctel+nn6nXicU8TGEbW5VYKKKK9U5D5p/4KseIfGPh79mOx/sTVNQ0/wAO3/jnR7L4jajpigPa+HZZ9t2zv1ihY+VHLIPuxSPkhdzD5k+M/wAdNI8N/tf/AA48O+Fv2kn8LWt94Y1eXxedI8Q2drF9h8uKSxkkmkztLTsPLAPzozEAqCR+lGsaPpPiHSLrQNe0yC9sb62e3vbO6iEkU8TqVeN1YEMrKSCDwQSK4L9nr9kf9mz9lHQdQ8Nfs8fB7R/Ctlqt2tzqUenxMWuZVXYpd5GZiFGcLnA3MQAWOflc34fxOZZlDE067gkrdbrf4dVvfXVfM+2yjiHJ8FkksPiMPz1Y+0UdI8kvaRUeabfvKVP4oWUk3y/Byty+ZfAnjr4e+MvF8P8AY/7RB8d63FaSR2NvdeLbbUZ7eFnjaURRw4IDNHDuOD9xOnf64+CfglPhx8JPD3gaOSZhpmlRQ5uCN/A5zgAZ59K6VLa3ibdHAin1VQKfXTk+RTyzE1K9Ss6kpJK7Xbzu7nzWMx8cVTjCMFFLt/wyCiiivoTzjzL4o/safstfGr4r6F8cvit8D9B13xb4a8r+xNcv7YtNbeVIZYxwQHCSEsocMAScYzXpJs7QnJtY/wDvgVJRURpU4ScoxSb3039e51V8djcVSp0q1WUo01aKcm1Fb2im7RV9bKwiqqDaqgAdABS0UVZyhRRRQAV4R+0x4Ik1/wActJFob+bq+hLpgvLdGLyoGmITuMqZpGHH8RJyK93ory83yxZtgnh3PlTad99jqweKeEre0SuZ3hDQo/C3hPS/DMUjuunadBaq7kFmEcaoCccZ47Vo0UV6aVlY5m7sKKKKYjmvjHoKeKPhbrvh2bR01CO906SGWzcMRKjDDDC8k7c4A74rg/2YvBUll4h1/wCIk4nV9SsbLT1WQAIy28l1JuXjJOblgTnHygcEGvYaK8utlka2a0sa5v3E1bo731v8/wAjqhinDCSoW+Jp3CiiivUOUKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiioNVtJdQ0y5sIbloXngeNJk6xllIDD3Gc0AfPH7O/wDwVd/Yi/al/aE1P9mX4N/E67vvEtgt81jJdaFdW1hra2U3k3h067lQQ3ogkO2TymbbyeQCa+jq/FT/AIJW/s3/ALTNh+0T+yF+zx4x/Zv8ceFLz9kmy+JEfxQ8Xa34flttIv21W5mWxXTrxvkvxcCVZW8snaAd3Sv2roAKKKKACvDf22f+Cif7MH/BPzSvDmrftJeItXsk8Van9h0iPR/D1zfsX3xRl5DCjLDGHmhXe5UFpFAyTivcq/Pv/g4/8W6tL+wbF8FPB/wj8f8Ai7xB4r8XaNeabbeB/A19rCww6dq1jdXJuHtY3Fv+6DFN+PMKsFzg4AP0DVgyhh0IyKWua+DvxN0X4zfC/Q/in4c0XW9Nsdd09Lq1sfEmizadfwI3RZ7adVkhfjlHAIrpaACiiigCh4q8T6H4J8L6l4z8T34tdM0iwmvdRumRmEMESGSR8KCThVJwATxwK8P/AGQP+CmX7KX7b3jjxJ8MPgrr3iC28TeFbOC+1Xw74u8JX2jXv2Gc4hvI4byKNpIH4xIBj5l9Rn2rxz4pg8DeCdY8bXWkX+oRaPpVxfSWGlWjT3VysUbSGKGJeZJGC7VQcsxAHWvzl/4IzfFHWP2q/wBsv4sftrftGfBv4m+D/iz4z0BNN0fw14o+GWp6TpXhXwlZXYFrp6X11CkV7eyySi4lKnuQihUagD9L6KKKACiiigD53/bN/wCCov7Jn7BOvWWh/tF6t4ps0uLOK8v9V0bwTqGo2Gj2ss/kRz311bwtFaI0gKr5jAnacCvoHTdSsNZ0631fS7tJ7W6gSa2njOVkjYBlYHuCCDX5lf8ABxfYXHxz+F0X7N/gf4FftB698SIrK3v/AIZS/D3Rbu48J6xfzX0GbbWNhNpKkP2VHKXqhVWUmMnc1fpJ8PYvE8HgDQ4PGtvaxaymj2y6vFZKBCl0Il81YwOAgfcBjtigDYooooAKCQoLMQAByTRXif8AwUb8IftLfEL9iP4i/D/9kKKF/iFr2gNp2h+dqiWJVZ5EiuGS4cFYJRbtMUkIO19pwcYoAX9jX/goL+y/+3zF43u/2YfGtxrtr8P/ABZN4d1+9fTpIYWvIxkmB3AE0ZHIkXgggjrXtdfmV/wb6/Cz9pL4J/Fv9pnwH8Vv2Jf+FQeF5PHuny+HrVfEZvreNodMtrUWlrJ9mhF7CsUSObxPlZ2ZNu5ST+mtABRRRQAV85/Er/gqB+zr8M/2qpv2OLnwh8Std8ZWb6UNVPhL4balqthpi6iSLWS6uraJorZGAcl5CABG5Jwpx9GV+S3/AAVQ8AfELSv27X8f/sKeBP2mdL/aJ17xf4Qgh1vQbW7j8AatotsFE5v5Yv8ARJIY4JbpHW5PmLJnYNrZIB+tNFFFABRRRQByHx8+PXwl/Zg+Duv/AB8+OvjS18PeE/DFgbvWdWu8lIY8hQAFBZ2ZmVFVQWZmAAJIrn/2Uv2uPhN+2R8PJ/iR8JLPxLZ2tpfmzvLDxd4UvNGvoJPLSRS1vdxpJsaORHVwCrBgQa+d/wDg4J/Z2+MX7TH/AATL8T+CfgdoOsatreleI9D12TSPDo3aheWllqEM862y/wAc6xq0iJ/E0YABJAqj/wAENrf9oOP4dfFi5+Ik/wAWG+G8/wATpm+Cg+OD3TeJRo32aLzTcfbP9JERufN8sS/NgNj5cUAfctFFFAH/2Q==", "info": {"equation": "69+8=77", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "69+8=77", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "b4934a6a8abb5a41fa49e57c49a5ab844892990f4cb130a75695eacc9d6597dc"} +{"episode": 30631, "episode_seed": 3406789748, "split": "train", "timestamp": "2025-10-28T03:46:24.316106", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3406789748, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 6, 1, 8])", "action": "('move', [0, 6, 1, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "0*18=0", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "0*18=0", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "5f32c39dc9658e9558b7d939f4294f8284b29480835d92c6364cee6d01451865"} +{"episode": 30632, "episode_seed": 1697193088, "split": "train", "timestamp": "2025-10-28T03:46:24.380818", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1697193088, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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": "12+4*10=52", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "12+4*10=52", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "1f449277bc5d2b0ee1c11e3f6a87b9bc1d6e5250a75e61a90a1cacd42427a46d"} +{"episode": 30633, "episode_seed": 3400284123, "split": "train", "timestamp": "2025-10-28T03:46:24.424681", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3400284123, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 0, 1, 7])", "action": "('move', [3, 0, 1, 7])", "reward": 0.0, "image": 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9/kfqng1xrguBeMPr+Kw/tYypyhpbmi3Z80b6X93leq92T9H8zf8ABP79pXxH4t/ZB8G658ev26ta07xLLaTJPaXPxAsbeVLZJ5EttyOC4JgWI5f5mzluSa+vv2XfBfhXxV4p8LeLPBGqpe6L4ciuJ9PvtPu0nt598EttgyrkP/rXPynO5T6EV67+y5ZWQ/Zl+HQWziAHgTSMARAAf6FFXfIiRrtjQKB0AGK58HwzXjiKOIrYqU1BqSTT/WTt9x8jnnENHM8wxVelho0lWnOXLHaKlJuy0WivZC0UUV9kfLBRRRQB/P8Af8HKHi3446p+36fCXxAl1FPB+leHrOTwBbzRbLVopYIzdzRY4dzcrIjsfmxEinhVr9QP+CEmvfGLxB/wTO8BT/GSC7WW2W4tvDj3tsInk0eN9towAALJsGEYjLIqnkYJ0/8Agod+z98Fv2hvix8OfDvxt+HOn+JLHT9D125srbUN+2KY3GlKXGxlP3SRg5HPSvYP2MLW1sP2U/ANhY20cMEHhq3jghhQKkaKuFVVHAAAAAHAAr4zLMNKlxZi25t6J/8AgVnb5bI/a+LPETL898K8q4fpYNQqYd+9PS3uqUbxtrepfmqXt73817r06iiivsz8UPEvjp8Df2BvHX7QXg7xt+0H4b8A3HxJtWhXwW/iDUIYtRnMcxeJYYWkU3G2UkqNr4YnHJr2k2doTk2sf/fAr+ZD/gq/8QP2hdS/4KSfEjXPjFqusWmvaF4vng8MvNugkstLhnZtOa3242J5JjlVl+8zl87mJr9Tf2bv2kp/EHwI8FeKfjD+3jqdv4qvPD1nc+ILSf4hafDsumQM6tEF+TnqvbpxXw0OMMHh8VWhOg1aVrxSu7aXltr95+5ce+FuY8N8MZTjqmYquq0NINu1O6U7UtXeGurSjrZ297T9JVVUG1VAA6AClryr9m3xf4j8ZC91mXWm1PSbqBLi1vxP5sUjP8wMTjKsrKc/KcY2468+q19VlmPhmeDjiIxcU76Pydj8VxWHlhazpt3sFfnH/wAHMni745eG/wBibRdM+Gs+oweF9W8ULbePZ7CP5TbbN1vFM45SJ5gM/wALMEUnkA/o5XkH7eXhrQfGf7Kfijwj4p0uO+0zVJNPtNQs5s7J4ZNQtldDgg4Kkjgg81GcUXXyqtBSt7r1Xlr+Oz8j6LgjPaPDPF2CzStRVWNKopOL69Lq+nMr80X0kkz8Tf8Aghr8b/G/hPxf4v8Ah1rf7SGqeCvAw0r+0RbxeJrfT4JNVaWGNWUzg5YwrJkJ1CLu6LX6Y+CNT8BfFG+1XS/C3xrPjrWNQ05bO6uT4kg1K7htv3iog8n7iBppGGV+855PSu8/4J3/AAS+EnwM8TePvAXwi+H+naBo6waRcfYbGM7TK/2zc7FiWZiFUZJPCgdABX1DHBBEcxQopPUqoFfEZbw1XzLKqc5YqShLXls2lZ/4rfgfWeI/HOC4l4zxOZYbCKmpWS25naKXNKy+J9bN9rvco+ENCj8LeE9L8MxSO66dp0FqruQWYRxqgJxxnjtWjRRX6QlZWPypu7Cv5UPjd8Y/2qtN/bP174w/EbxRrulfFnTvGDzXV9L+4u7G/ik2Iir0RUCqioPkCAKMrX9V9fAXx9/Zx+Bev/taeMfj/rnwu0u68Z6d8SvDsNh4hnjZp4EWHRVXaC2zIV2AbbkZ4OcV8dxlh5VcPQkptWml/wCBdfVW09WftHg14g5fwFisweKwir+2pWW104t+67/8u583v7v3Y6Mp6P8AGP4d+I/BVhYfEz9tybUmu9LgGvaPqXxGsGt7iRo1M0MiJjKFtwKgjjjNfU/7L/g022u698SXabOq2FlYx7gPLdIJLmTevGTk3JBOSPlHoa9e+xWf/PpF/wB+xUgAHAFdOA4brYTMIYqtiZVHFOya7q27kz8txeaQxFGVOFJQUnfTbe+1gooor6k8gKKKKAPnex+FX9s/G6GxOkS2KWXi99dmFspCGQTSTFyWB+V3Yk+pJxivoiiivKyrK45XCpFTcueTlr59P+CdWLxTxUotq1kkFFFFeqcoUUUUAFFFFABXwfrPxCubT9tj42/8Lz8aNp9zo39m/wDCMWeuXMdra23hVbNJPtlvuIDRteveCabna0UasVwor7wrzP8AaA/Y3/Zd/aov9F1P9ob4JaH4suPDzu2jzarblmt95UuuVI3ISiko2VOOleJn+VVc3wPsKc+V3T8n5P8AP1R9Jw1meW5diKscdGTp1IcvNFRlODUozTipOKd+XlfvR0k3d25X8DfscftD6drf7PGjXXjT9urW9OeO7v7fSLS68b6fYyppUV5NFp+6AoDGTaJAcEA85PJr7Z/Zl+IGu+PdUXV9L8YnxBos9gSdTS9W4hkK4RXWRPkLEqQdvX5uMjj2aPT7CKNYorGFVVQFVYgAAOgFSoiRrtjQKB0AGK87B8N4zD4qnVnjJyUXe2tn5fE/y2IzTOsLj8RWqUcNGmqkpNJW91N3SWi226C0UUV9YfPBRRRQB5D+0xoUt1r+g+Io9EEslpb3Ftb3aIzOvnPCzxccYYwxEdyV4rtvgn4JT4cfCTw94GjkmYaZpUUObgjfwOc4AGefSuoorysPlccPmlbG87bqJK3ay7/I6qmKdTCwo2+G+vqFFFFeqcp5l8Uf2NP2WvjV8V9C+OXxW+B+g674t8NeV/YmuX9sWmtvKkMsY4IDhJCWUOGAJOMZr0k2doTk2sf/AHwKkoqI0qcJOUYpN76b+vc6q+OxuKpU6VarKUaatFOTait7RTdoq+tlYRVVBtVQAOgApaKKs5Qr5T/4Kf8AirxH4duPhDZarrt3pXw+vviEB47v4WWO33x28kumxXUpI8q3e9SEEkhWYIpPIDfVlY3xD+Hvgj4seB9V+GvxJ8MWetaDrdk9pqul38QeK5hcYZWH6gjBBAIIIBrizLCTx2BqUIy5XJWv/XTo/I9fIsfh8szWniK8OeC5k1pe0ouPNG+nNG/NG+nMkfnHr3x103Q/269V8F2H7Ud34U0WH4bQyeJ7ax8S2djDHqyXxW1RnkBYzG3e5LR5+VRGxA3Ln3b4P/GYeILpvD/w6/aOuvGt5HcLcGIeJ4NRmizhACIORGfRhjJNfRPwL/Zx+Bn7M/gNfhl8B/hjpfhnQlvJLo6fp0J2vPJjfIzMSzsQqjLEnCqOgAHZxwQRHMUKKT1KqBXydDhHHQoxg8ZJJdFey9PeX5fI9fNs+yuvil9Uw/uRiopySUpW3lJK6Tb6KTsrLmdrsgMzQI1woEhQeYF6A45xT6KK+4Ssj5EK/J69+NGpaJ/wT18c/EP4p/FW+0v4oC61SbxLcX00MepWPi5Ll2t7VYGyEKSQW6QxBcfZ4kZQVG4/rDXmWrfsZ/sta7+0FbftVax8D9BuPiFZoi2/imS2JuFKxGJWIztZ1jO0OVLABQCNox8/xBk1fOIUlTqcnK7/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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", "info": {"equation": "1+21=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": "1+21=22", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "a38703ad4aa6a89a26067b7824c1838c9706e983f2a978fee89dae0ff398b1df"} +{"episode": 30634, "episode_seed": 2856459246, "split": "train", "timestamp": "2025-10-28T03:46:24.477023", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2856459246, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [5, 0, 3, 0])", "action": "('move', [5, 0, 3, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "25-7=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": "25-7=18", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "8cb607e54d5331b2f2d0fac24a14287551dc4e406c05140a3bf96669fb803289"} +{"episode": 30635, "episode_seed": 2498473904, "split": "train", "timestamp": "2025-10-28T03:46:24.545814", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2498473904, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 0, 7, 0])", "action": "('move', [4, 0, 7, 0])", "reward": 0.0, "image": 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1NLNe87rrzvm5ZX0sut7R9Yrw7/gpV4m+MXg39g34p+J/gE98niyy8JzyaZLpkW+5hXKiaSIdd6wmVgR8wKgjkCvcaCAwKsAQRyDX1Fem61GVNO101dbq63+R+X5XjI5dmdDFypqoqc4ycZbS5ZJ8r8naz8mfzYf8EXvif4n8B/tY3Gnw/Ga88F+H9W8P3P8AwkupW2swWIlESlrdWmmBGfOZcAcnJ7Zr9GfjloP7JPj7wL4w+L3jL4t2Xi/xFo3hvda+MrnxRb6jq2hNCXksjZPGf9GkF1ho1jAMsrBTvztr7W/ZW+DX7Enwv/4Sr/hj/wAO+CLX7drX/FXf8Ijew3G29TdiKbY7+UybnxF8oXc2FGTXgP8AwUS/Z/8Agp8S/jdqHxA8ffDTTNW1nwt8NrSfw9f3cbFrGT7Tqb7lAIUnciMNwOCoIr8yzDh7FZdlPPLEuSTXuq/Lq7XWvz23P2/inxHwPFPiJ/alPD1MLFQiny2VWXKr+9ql7ztG95WgovllblPq/wDZ91L4h6x8BPBGr/Fy1kg8WXXhDTZvE8M0AiePUWtY2uVZF4QiUuCo4HSuvoor9QhHkgo3vY/CMRVVfETqqKjzNuy2V3ey8lsgrwf9s/4sTeFNAOlaPZm9vLfyxaaerKDe6hO6w2dsCzKMvLIi4JH3wc8V7R4q8S6d4R0KfX9UY+VAo+VfvOxOAo9yTXzl8KtA1D43ftSr4j123Z9J8Cxf2tcs4XZcazdI8dsm0xncILczyEqy4aeA4JHHzef1XiqlLLKb96q7y8oLVv5209GduXwVKMsVJaR285HtP7Pfwjtfgh8I9I+HyXCXN7DE1xrWoLAIzfahMxlubhgCcF5XdsZOAQM4ArtKKK+jp04UqahBWSVl8jzZSc5OT3YUUUVYj5N/4LfeJ/jF4S/4Jo/EbVfgpLfxag1rbwatPpse6WLS5J0S8bI5VfJLhmHKoWPABI/Pz/g1f1r4rR/Hn4meHdNgum8Dy+E4LjWJBbAwpqi3KLaAydVcwveYUfeCkn7or9gf2kIIbn9nfx7bXEYeOTwXqiujDhgbSUEGvC/+CcfwL+EHwA8T+NvCPwY+H2n+HdNudG0O7ubWwVsSztJqSmRmdmZjhVHJ4A4r5PMMPJ8VYSfM9Yy0/wAKb/G+p+vcP8d4HK/CnM+HZ4RSqV6kZKppZJ8vxdbw5bwt1k9ra/VFFFFfWH5CfzBftOfFb9pyw/4Ke+KPiP4v8R6rpvxG034lSLZ3lyEimsTFceXahA/yJGsIjCE/JswckHJ/XfxDcfs6fHPUdL8JfEr9oy1+I8MGprc6V4X8R+NrPUbWa8VWWN/sq4E7qGbarBgMk7cgEfU2qfBv9iS8/a9svinq/h7wQ3xqTR82M819CNZNmI3i81bcvuZRH5iebsJCgruwMDnf+CiPwl+Gvxh+FHhv4e/E7wbZ6zot942tzd6dchgkuy0u3XJQqwwyqeCOlfnGN4axWGwmJr/Wnb3pOKvr197Xfvoz934x8S8BxZisnhSwcsL9XpRg5xS5tbJ+zV43hFRfInKN+aS03eB/wSmuZk+DXjLw54bu57jwFonxJ1Gw+GUzANANJSK3MkVrICfOtor1r2GNsnCxBQSFFfUNeRfsL+FfDngb9mvSvBng/RbfTdJ0rWNZtdO0+0TbHbwpql0qIo9AB9fWvXa+1yaDhlNBN39yO/mrn5FxFjoZlnmIxMI2UpPfd205pW3lK3NJ9ZNsK8e/Zk+DH7EHw18SeNb79lDw54HttU1DWMeOv+EVvYZ5I7xXlPlXCo7eQys0uIsKAd2FGKn/AG8vEHxc8K/sZfE3xJ8Bxef8JfZeDL6bQW06HzLhJxETuiXu6jcVwCcgYBOBX4Af8Edvi9498C/tgR6fZ/G/U/B+ga/pl2fGOowa7FZLcJHDJJAZJZ8qW+0FMH73zsBwzV5ed57QynGUY1KXNdN30uunu+ffVaH6JwR4fY3ifgbOM1pY72McOo3p3dqnL7/v2e3/AD70d59rXP6Vo7eCI7ooUU+qqBT6+Q/gh8Yx4g1saB8Ov2j7nxveLcxztbv4pt9RkiX7nIgwVjOecjHevrwZxzXblGdUc4U3ThKKjbfrf+vyPy7GYKeDcVJp37BRRRXsnEV9Xe+j0m6k0xN1ytu5t1xnL7TtHPviv5pf2HvH/wC1bqH/AAV08FeMr19ZuPiXf/FER+LVubTddBZJmi1RJY2GEVLY3IYYAjVDjbtGP6Yq+IfAXwG+Dej/ALeSfHzTPh1p0XjPUvilq1pfeIgrG4lgFlers5Yqo2xoCVAJC8nk5+S4nw8quIwclJr94lp5219VbT1P17wv48wPB2W5xhsRhFWeJoOMW7aNKS5ZX+xLmvJLW8Vp1X29RRRX1p+QhWF8UNHXxD8ONd0CTTEvUvtJnt5bRwcTI8ZVl45OVJHFbtFZ1qftaUoXtdNX9SoS5JqXY8m/Zg8GyaVLr3jaYTq2rfZbYLIuFK2/nHcvGeszAnp8vbBr1miiuXLcEsuwMMMpX5VvtfW5ria7xNeVRq1wr8nvHHxt8T+Hf2NNT8a+Jvi7f6N8VpfiWY9VuLm6t4dQtfEP9tKj2nlyZWKOO3VVUYwtqiSA7fnP6w152n7Jn7N0f7QMn7VKfBvRB8Q5bL7LJ4r+zf6U0XlCLrnbu8sCPfjds+XOOK87PsnrZvGkqdTk5JX/AOCvNdPV6n03C+d5VlEaqxtH2ibhONlF3lT5v3cr7U6nN77V37q919PlvQviT8MfFfiux0+P9q9/GV3Hcu+kaRqHji0vf3xjdPMjijwzSCN5F74V247j65+BHg5vAfwr0zw6/nBt9zdOs4AdWuLiS4KkADGDKQB1AHPNdWtraowZLaMEdCEFSVGU5FUy3FyxFWu6kpLl1XS9922eHi8fHE0VTjBRSd9P+GQV4d/wUq8TfGLwb+wb8U/E/wAAnvk8WWXhOeTTJdMi33MK5UTSRDrvWEysCPmBUEcgV7jQQGBVgCCOQa92vTdajKmna6aut1db/IjK8ZHLszoYuVNVFTnGTjLaXLJPlfk7Wfkz+bX/AIIu/F3xr4B/akuvDtv8c9S8F+F9a0W4l8UXVtr0NjHO0KMbYvJNlSwlkwMfMQ7di1frb4ITwL8b7nU/Cnhr43SeN9S1azjsb++HiS31G6trYmQIuYhiNFMkrDcuMsxJI4H0z8C/2TP2bf2Zv7b/AOFCfBvRPC3/AAkd8LvW/wCy7bb9qlG7aTknCrvfagwq7jgDJr0GOCCI5ihRSeu1QK+IocHYpUI06uKfKnflSfLvfq/03P0zxK8Rsv424pnmmEwnsouEYq9uZ2XxSsnrryrV+7GPon0UUV94fkpleNfCdn428OT+Hr2ZohLhkmUZMbg5Bwev09DTfA/hCy8D+HIfD9lM0ojJaSZlwZHJyTgdPQD0A69a16K5vqmG+tfWeX37ct/K97GntqnsvZX9297eYUUUV0mYUUUUAY/xC0pdd8Ba1ocmnJeJe6VcQSWkmdsyvGyshxzyCRx6151+y94MfSr/AF/xnLFPGdQt7KxVJFwu22a5bI4znNwwPOPlA4INeu0V5tfLlWzOljHL+GpK3fm0/r5HTDEuGFnRt8TWvoFFFFekcx/MP+0j8Y/2qdB/4KheKfid4g8X61o3xJ074izwWt+8i289kiymCCNN3yJELcoig/IYzzlSSf2M0f4l/C/xT4m0/T5f2tX8XXSXZbS9H1Dx1Z3ga4KMgdIo8MzhWcDGeGPFfVF/+yZ+zdqf7QFv+1RqHwc0Wb4hWtn9lt/FT25NykXltF67S3lsybyN207c4AFegLa2qMGS2jBHQhBXwv8AqhjJOqni2lNt2Sbun/NqrvufsviD4n5ZxjRy2OGwCpPDUVBvRa6e7Gyf7uNvcvZrmlouvI/AHwg3gn4WWOjOJg8t1eXsizjDK1zdS3BXGBgAy4APOAM812VFFfZ4agsNhoUU7qKS+5WPx2rN1akpvq2/vCvOvgp+yT+zX+zlrHiHX/gd8GdE8NXniu8F14gn0222m8kDOwzkkKoaRyEXCjccAV6LRWkqdOUlKSTa2fb07GtLGYuhQqUadSUYVLc0U2lKzuuZLR2eqvez1QyO3giO6KFFPqqgU+iirOcKKKKACvCdE+GovP2jUvxpUtmumeIbnWG8hSEkeSCeLexbPD+cW4x8w46EV7tRXm5hlyx9SjJyt7Oal626HTh8S8PGaSvzK3oFFFFekcwUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFch8fPjv8K/2Yvg34h+Pvxt8VRaJ4V8Lac17rOpSoz+VGCAAqqCzuzFUVFBLMygAk119fJv/AAW9+CvxP+PP/BNnxx4O+D3hK88Q65p+p6Fr0Xh3To99xqkGm6xZ309tEn8cjQ28m1OrMFUcmgD2T9kv9rz4H/tr/Cg/GH4Da7e3Wmwatc6Xqdlq2lTWF9pl/bsFmtbq2nVZIJVypKMAcOp6EV6dXxd/wRt8LeP9Qg/aC/aX8V/DXxJ4P0f4x/HvUfE3g3QPF2kSafqI0wWNlaJcz2smHt3lktpG2OA20KT1FfaNABRRRQB43+2V+3j+zn+wb4X0Dxb+0Tr+p2Vr4l12LSdJXStDuL53uJGVQXEKMIowXQF3IXLqOSQK9kr4Y/4OEfFmpWv/AAT/ALn4a+GvhZ468V614n8X6C2m2PgjwXe6w8a2Wr2V7O8wtY3MK+TBIVZsBmAUcmvsr4Y/EDSviv8ADnQ/iboWlatYWXiDSoNQtLLXtKlsb2COWMOqT28wWSCUA4aNwGUgggEUAbtFFFABXgXxK/4KX/sm/CL9qzQv2OfiF4p1rTvFniLUbbTdNvZvC17/AGQ2o3MJmt7BtR8r7MLqSMBli37sEZxmvfa/OP8Abu+Nd/8AGr/gq58If2Ufin8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1NLNe87rrzvm5ZX0sut7R9Yrw7/gpV4m+MXg39g34p+J/gE98niyy8JzyaZLpkW+5hXKiaSIdd6wmVgR8wKgjkCvcaCAwKsAQRyDX1Fem61GVNO101dbq63+R+X5XjI5dmdDFypqoqc4ycZbS5ZJ8r8naz8mfzYf8EXvif4n8B/tY3Gnw/Ga88F+H9W8P3P8AwkupW2swWIlESlrdWmmBGfOZcAcnJ7Zr9GfjloP7JPj7wL4w+L3jL4t2Xi/xFo3hvda+MrnxRb6jq2hNCXksjZPGf9GkF1ho1jAMsrBTvztr7W/ZW+DX7Enwv/4Sr/hj/wAO+CLX7drX/FXf8Ijew3G29TdiKbY7+UybnxF8oXc2FGTXgP8AwUS/Z/8Agp8S/jdqHxA8ffDTTNW1nwt8NrSfw9f3cbFrGT7Tqb7lAIUnciMNwOCoIr8yzDh7FZdlPPLEuSTXuq/Lq7XWvz23P2/inxHwPFPiJ/alPD1MLFQiny2VWXKr+9ql7ztG95WgovllblPq/wDZ91L4h6x8BPBGr/Fy1kg8WXXhDTZvE8M0AiePUWtY2uVZF4QiUuCo4HSuvoor9QhHkgo3vY/CMRVVfETqqKjzNuy2V3ey8lsgrwf9s/4sTeFNAOlaPZm9vLfyxaaerKDe6hO6w2dsCzKMvLIi4JH3wc8V7R4q8S6d4R0KfX9UY+VAo+VfvOxOAo9yTXzl8KtA1D43ftSr4j123Z9J8Cxf2tcs4XZcazdI8dsm0xncILczyEqy4aeA4JHHzef1XiqlLLKb96q7y8oLVv5209GduXwVKMsVJaR285HtP7Pfwjtfgh8I9I+HyXCXN7DE1xrWoLAIzfahMxlubhgCcF5XdsZOAQM4ArtKKK+jp04UqahBWSVl8jzZSc5OT3YUUUVYj5N/4LfeJ/jF4S/4Jo/EbVfgpLfxag1rbwatPpse6WLS5J0S8bI5VfJLhmHKoWPABI/Pz/g1f1r4rR/Hn4meHdNgum8Dy+E4LjWJBbAwpqi3KLaAydVcwveYUfeCkn7or9gf2kIIbn9nfx7bXEYeOTwXqiujDhgbSUEGvC/+CcfwL+EHwA8T+NvCPwY+H2n+HdNudG0O7ubWwVsSztJqSmRmdmZjhVHJ4A4r5PMMPJ8VYSfM9Yy0/wAKb/G+p+vcP8d4HK/CnM+HZ4RSqV6kZKppZJ8vxdbw5bwt1k9ra/VFFFFfWH5CfzBftOfFb9pyw/4Ke+KPiP4v8R6rpvxG034lSLZ3lyEimsTFceXahA/yJGsIjCE/JswckHJ/XfxDcfs6fHPUdL8JfEr9oy1+I8MGprc6V4X8R+NrPUbWa8VWWN/sq4E7qGbarBgMk7cgEfU2qfBv9iS8/a9svinq/h7wQ3xqTR82M819CNZNmI3i81bcvuZRH5iebsJCgruwMDnf+CiPwl+Gvxh+FHhv4e/E7wbZ6zot942tzd6dchgkuy0u3XJQqwwyqeCOlfnGN4axWGwmJr/Wnb3pOKvr197Xfvoz934x8S8BxZisnhSwcsL9XpRg5xS5tbJ+zV43hFRfInKN+aS03eB/wSmuZk+DXjLw54bu57jwFonxJ1Gw+GUzANANJSK3MkVrICfOtor1r2GNsnCxBQSFFfUNeRfsL+FfDngb9mvSvBng/RbfTdJ0rWNZtdO0+0TbHbwpql0qIo9AB9fWvXa+1yaDhlNBN39yO/mrn5FxFjoZlnmIxMI2UpPfd205pW3lK3NJ9ZNsK8e/Zk+DH7EHw18SeNb79lDw54HttU1DWMeOv+EVvYZ5I7xXlPlXCo7eQys0uIsKAd2FGKn/AG8vEHxc8K/sZfE3xJ8Bxef8JfZeDL6bQW06HzLhJxETuiXu6jcVwCcgYBOBX4Af8Edvi9498C/tgR6fZ/G/U/B+ga/pl2fGOowa7FZLcJHDJJAZJZ8qW+0FMH73zsBwzV5ed57QynGUY1KXNdN30uunu+ffVaH6JwR4fY3ifgbOM1pY72McOo3p3dqnL7/v2e3/AD70d59rXP6Vo7eCI7ooUU+qqBT6+Q/gh8Yx4g1saB8Ov2j7nxveLcxztbv4pt9RkiX7nIgwVjOecjHevrwZxzXblGdUc4U3ThKKjbfrf+vyPy7GYKeDcVJp37BRRRXsnEV9Xe+j0m6k0xN1ytu5t1xnL7TtHPviv5pf2HvH/wC1bqH/AAV08FeMr19ZuPiXf/FER+LVubTddBZJmi1RJY2GEVLY3IYYAjVDjbtGP6Yq+IfAXwG+Dej/ALeSfHzTPh1p0XjPUvilq1pfeIgrG4lgFlers5Yqo2xoCVAJC8nk5+S4nw8quIwclJr94lp5219VbT1P17wv48wPB2W5xhsRhFWeJoOMW7aNKS5ZX+xLmvJLW8Vp1X29RRRX1p+QhWF8UNHXxD8ONd0CTTEvUvtJnt5bRwcTI8ZVl45OVJHFbtFZ1qftaUoXtdNX9SoS5JqXY8m/Zg8GyaVLr3jaYTq2rfZbYLIuFK2/nHcvGeszAnp8vbBr1miiuXLcEsuwMMMpX5VvtfW5ria7xNeVRq1wr8nvHHxt8T+Hf2NNT8a+Jvi7f6N8VpfiWY9VuLm6t4dQtfEP9tKj2nlyZWKOO3VVUYwtqiSA7fnP6w152n7Jn7N0f7QMn7VKfBvRB8Q5bL7LJ4r+zf6U0XlCLrnbu8sCPfjds+XOOK87PsnrZvGkqdTk5JX/AOCvNdPV6n03C+d5VlEaqxtH2ibhONlF3lT5v3cr7U6nN77V37q919PlvQviT8MfFfiux0+P9q9/GV3Hcu+kaRqHji0vf3xjdPMjijwzSCN5F74V247j65+BHg5vAfwr0zw6/nBt9zdOs4AdWuLiS4KkADGDKQB1AHPNdWtraowZLaMEdCEFSVGU5FUy3FyxFWu6kpLl1XS9922eHi8fHE0VTjBRSd9P+GQV4d/wUq8TfGLwb+wb8U/E/wAAnvk8WWXhOeTTJdMi33MK5UTSRDrvWEysCPmBUEcgV7jQQGBVgCCOQa92vTdajKmna6aut1db/IjK8ZHLszoYuVNVFTnGTjLaXLJPlfk7Wfkz+bX/AIIu/F3xr4B/akuvDtv8c9S8F+F9a0W4l8UXVtr0NjHO0KMbYvJNlSwlkwMfMQ7di1frb4ITwL8b7nU/Cnhr43SeN9S1azjsb++HiS31G6trYmQIuYhiNFMkrDcuMsxJI4H0z8C/2TP2bf2Zv7b/AOFCfBvRPC3/AAkd8LvW/wCy7bb9qlG7aTknCrvfagwq7jgDJr0GOCCI5ihRSeu1QK+IocHYpUI06uKfKnflSfLvfq/03P0zxK8Rsv424pnmmEwnsouEYq9uZ2XxSsnrryrV+7GPon0UUV94fkpleNfCdn428OT+Hr2ZohLhkmUZMbg5Bwev09DTfA/hCy8D+HIfD9lM0ojJaSZlwZHJyTgdPQD0A69a16K5vqmG+tfWeX37ct/K97GntqnsvZX9297eYUUUV0mYUUUUAY/xC0pdd8Ba1ocmnJeJe6VcQSWkmdsyvGyshxzyCRx6151+y94MfSr/AF/xnLFPGdQt7KxVJFwu22a5bI4znNwwPOPlA4INeu0V5tfLlWzOljHL+GpK3fm0/r5HTDEuGFnRt8TWvoFFFFekcx/MP+0j8Y/2qdB/4KheKfid4g8X61o3xJ074izwWt+8i289kiymCCNN3yJELcoig/IYzzlSSf2M0f4l/C/xT4m0/T5f2tX8XXSXZbS9H1Dx1Z3ga4KMgdIo8MzhWcDGeGPFfVF/+yZ+zdqf7QFv+1RqHwc0Wb4hWtn9lt/FT25NykXltF67S3lsybyN207c4AFegLa2qMGS2jBHQhBXwv8AqhjJOqni2lNt2Sbun/NqrvufsviD4n5ZxjRy2OGwCpPDUVBvRa6e7Gyf7uNvcvZrmlouvI/AHwg3gn4WWOjOJg8t1eXsizjDK1zdS3BXGBgAy4APOAM812VFFfZ4agsNhoUU7qKS+5WPx2rN1akpvq2/vCvOvgp+yT+zX+zlrHiHX/gd8GdE8NXniu8F14gn0222m8kDOwzkkKoaRyEXCjccAV6LRWkqdOUlKSTa2fb07GtLGYuhQqUadSUYVLc0U2lKzuuZLR2eqvez1QyO3giO6KFFPqqgU+iirOcKKKKACvCdE+GovP2jUvxpUtmumeIbnWG8hSEkeSCeLexbPD+cW4x8w46EV7tRXm5hlyx9SjJyt7Oal626HTh8S8PGaSvzK3oFFFFekcwUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFch8fPjv8K/2Yvg34h+Pvxt8VRaJ4V8Lac17rOpSoz+VGCAAqqCzuzFUVFBLMygAk119fJv/AAW9+CvxP+PP/BNnxx4O+D3hK88Q65p+p6Fr0Xh3To99xqkGm6xZ309tEn8cjQ28m1OrMFUcmgD2T9kv9rz4H/tr/Cg/GH4Da7e3Wmwatc6Xqdlq2lTWF9pl/bsFmtbq2nVZIJVypKMAcOp6EV6dXxd/wRt8LeP9Qg/aC/aX8V/DXxJ4P0f4x/HvUfE3g3QPF2kSafqI0wWNlaJcz2smHt3lktpG2OA20KT1FfaNABRRRQB43+2V+3j+zn+wb4X0Dxb+0Tr+p2Vr4l12LSdJXStDuL53uJGVQXEKMIowXQF3IXLqOSQK9kr4Y/4OEfFmpWv/AAT/ALn4a+GvhZ468V614n8X6C2m2PgjwXe6w8a2Wr2V7O8wtY3MK+TBIVZsBmAUcmvsr4Y/EDSviv8ADnQ/iboWlatYWXiDSoNQtLLXtKlsb2COWMOqT28wWSCUA4aNwGUgggEUAbtFFFABXgXxK/4KX/sm/CL9qzQv2OfiF4p1rTvFniLUbbTdNvZvC17/AGQ2o3MJmt7BtR8r7MLqSMBli37sEZxmvfa/OP8Abu+Nd/8AGr/gq58If2Ufin8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dpt5qlrYWVrGFjghj1K6VI1A6AKAB9KMNh3Di+tPmetNO3zSt6aXPqs048wOO8IcHw1HCKNSlWcnU0s17zuuvO+bllfSy63tH1ivDv+ClXib4xeDf2Dfin4n+AT3yeLLLwnPJpkumRb7mFcqJpIh13rCZWBHzAqCOQK9xoIDAqwBBHINfUV6brUZU07XTV1urrf5H5fleMjl2Z0MXKmqipzjJxltLlknyvydrPyZ/Nh/wRe+J/ifwH+1jcafD8ZrzwX4f1bw/c/8ACS6lbazBYiURKWt1aaYEZ85lwBycntmv0Z+OWg/sk+PvAvjD4veMvi3ZeL/EWjeG91r4yufFFvqOraE0JeSyNk8Z/wBGkF1ho1jAMsrBTvztr7W/ZW+DX7Enwv8A+Eq/4Y/8O+CLX7drX/FXf8Ijew3G29TdiKbY7+UybnxF8oXc2FGTXgP/AAUS/Z/+CnxL+N2ofEDx98NNM1bWfC3w2tJ/D1/dxsWsZPtOpvuUAhSdyIw3A4KgivzLMOHsVl2U88sS5JNe6r8urtda/Pbc/b+KfEfA8U+In9qU8PUwsVCKfLZVZcqv72qXvO0b3laCi+WVuU+r/wBn3UviHrHwE8Eav8XLWSDxZdeENNm8TwzQCJ49Ra1ja5VkXhCJS4KjgdK6+iiv1CEeSCje9j8IxFVV8ROqoqPM27LZXd7LyWyCvB/2z/ixN4U0A6Vo9mb28t/LFpp6soN7qE7rDZ2wLMoy8siLgkffBzxXtHirxLp3hHQp9f1Rj5UCj5V+87E4Cj3JNfOXwq0DUPjd+1KviPXbdn0nwLF/a1yzhdlxrN0jx2ybTGdwgtzPISrLhp4DgkcfN5/VeKqUsspv3qrvLygtW/nbT0Z25fBUoyxUlpHbzke0/s9/CO1+CHwj0j4fJcJc3sMTXGtagsAjN9qEzGW5uGAJwXld2xk4BAzgCu0oor6OnThSpqEFZJWXyPNlJzk5PdhRRRViPk3/AILfeJ/jF4S/4Jo/EbVfgpLfxag1rbwatPpse6WLS5J0S8bI5VfJLhmHKoWPABI/Pz/g1f1r4rR/Hn4meHdNgum8Dy+E4LjWJBbAwpqi3KLaAydVcwveYUfeCkn7or9gf2kIIbn9nfx7bXEYeOTwXqiujDhgbSUEGvC/+CcfwL+EHwA8T+NvCPwY+H2n+HdNudG0O7ubWwVsSztJqSmRmdmZjhVHJ4A4r5PMMPJ8VYSfM9Yy0/wpv8b6n69w/wAd4HK/CnM+HZ4RSqV6kZKppZJ8vxdbw5bwt1k9ra/VFFFFfWH5CfzBftOfFb9pyw/4Ke+KPiP4v8R6rpvxG034lSLZ3lyEimsTFceXahA/yJGsIjCE/JswckHJ/XfxDcfs6fHPUdL8JfEr9oy1+I8MGprc6V4X8R+NrPUbWa8VWWN/sq4E7qGbarBgMk7cgEfU2qfBv9iS8/a9svinq/h7wQ3xqTR82M819CNZNmI3i81bcvuZRH5iebsJCgruwMDnf+CiPwl+Gvxh+FHhv4e/E7wbZ6zot942tzd6dchgkuy0u3XJQqwwyqeCOlfnGN4axWGwmJr/AFp296Tir69fe1376M/d+MfEvAcWYrJ4UsHLC/V6UYOcUubWyfs1eN4RUXyJyjfmktN3gf8ABKa5mT4NeMvDnhu7nuPAWifEnUbD4ZTMA0A0lIrcyRWsgJ862ivWvYY2ycLEFBIUV9Q15F+wv4V8OeBv2a9K8GeD9Ft9N0nStY1m107T7RNsdvCmqXSoij0AH19a9dr7XJoOGU0E3f3I7+aufkXEWOhmWeYjEwjZSk993bTmlbeUrc0n1k2wrx79mT4MfsQfDXxJ41vv2UPDnge21TUNYx46/wCEVvYZ5I7xXlPlXCo7eQys0uIsKAd2FGKn/by8QfFzwr+xl8TfEnwHF5/wl9l4MvptBbTofMuEnERO6Je7qNxXAJyBgE4FfgB/wR2+L3j3wL+2BHp9n8b9T8H6Br+mXZ8Y6jBrsVktwkcMkkBklnypb7QUwfvfOwHDNXl53ntDKcZRjUpc103fS66e7599VofonBHh9jeJ+Bs4zWljvYxw6jend2qcvv8Av2e3/PvR3n2tc/pWjt4IjuihRT6qoFPr5D+CHxjHiDWxoHw6/aPufG94tzHO1u/im31GSJfuciDBWM55yMd6+vBnHNduUZ1RzhTdOEoqNt+t/wCvyPy7GYKeDcVJp37BRRRXsnEV9Xe+j0m6k0xN1ytu5t1xnL7TtHPviv5pf2HvH/7Vuof8FdPBXjK9fWbj4l3/AMURH4tW5tN10FkmaLVEljYYRUtjchhgCNUONu0Y/pir4h8BfAb4N6P+3knx80z4dadF4z1L4pataX3iIKxuJYBZXq7OWKqNsaAlQCQvJ5OfkuJ8PKriMHJSa/eJaedtfVW09T9e8L+PMDwdlucYbEYRVniaDjFu2jSkuWV/sS5ryS1vFadV9vUUUV9afkIVhfFDR18Q/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/hkFeHf8FKvE3xi8G/sG/FPxP8Anvk8WWXhOeTTJdMi33MK5UTSRDrvWEysCPmBUEcgV7jQQGBVgCCOQa92vTdajKmna6aut1db/IjK8ZHLszoYuVNVFTnGTjLaXLJPlfk7Wfkz+bX/gi78XfGvgH9qS68O2/xz1LwX4X1rRbiXxRdW2vQ2Mc7Qoxti8k2VLCWTAx8xDt2LV+tvghPAvxvudT8KeGvjdJ431LVrOOxv74eJLfUbq2tiZAi5iGI0UySsNy4yzEkjgfTPwL/AGTP2bf2Zv7b/wCFCfBvRPC3/CR3wu9b/su22/apRu2k5Jwq732oMKu44Aya9BjggiOYoUUnrtUCviKHB2KVCNOrinyp35Uny736v9Nz9M8SvEbL+NuKZ5phMJ7KLhGKvbmdl8UrJ668q1fuxj6J9FFFfeH5KZXjXwnZ+NvDk/h69maIS4ZJlGTG4OQcHr9PQ03wP4QsvA/hyHw/ZTNKIyWkmZcGRyck4HT0A9AOvWteiub6phvrX1nl9+3Lfyvexp7ap7L2V/dve3mFFFFdJmFFFFAGP8QtKXXfAWtaHJpyXiXulXEElpJnbMrxsrIcc8gkcetedfsveDH0q/1/xnLFPGdQt7KxVJFwu22a5bI4znNwwPOPlA4INeu0V5tfLlWzOljHL+GpK3fm0/r5HTDEuGFnRt8TWvoFFFFekcx/MP8AtI/GP9qnQf8AgqF4p+J3iDxfrWjfEnTviLPBa37yLbz2SLKYII03fIkQtyiKD8hjPOVJJ/YzR/iX8L/FPibT9Pl/a1fxddJdltL0fUPHVneBrgoyB0ijwzOFZwMZ4Y8V9UX/AOyZ+zdqf7QFv+1RqHwc0Wb4hWtn9lt/FT25NykXltF67S3lsybyN207c4AFegLa2qMGS2jBHQhBXwv+qGMk6qeLaU23ZJu6f82qu+5+y+IPiflnGNHLY4bAKk8NRUG9Frp7sbJ/u429y9muaWi68j8AfCDeCfhZY6M4mDy3V5eyLOMMrXN1LcFcYGADLgA84AzzXZUUV9nhqCw2GhRTuopL7lY/Has3VqSm+rb+8K86+Cn7JP7Nf7OWseIdf+B3wZ0Tw1eeK7wXXiCfTbbabyQM7DOSQqhpHIRcKNxwBXotFaSp05SUpJNrZ9vTsa0sZi6FCpRp1JRhUtzRTaUrO65ktHZ6q97PVDI7eCI7ooUU+qqBT6KKs5wooooAK8J0T4ai8/aNS/GlS2a6Z4hudYbyFISR5IJ4t7Fs8P5xbjHzDjoRXu1FebmGXLH1KMnK3s5qXrbodOHxLw8ZpK/MregUUUV6RzBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAVyHx8+O/wr/Zi+DfiH4+/G3xVFonhXwtpzXus6lKjP5UYIACqoLO7MVRUUEszKACTXX18m/8Fvfgr8T/AI8/8E2fHHg74PeErzxDrmn6noWvReHdOj33GqQabrFnfT20SfxyNDbybU6swVRyaAPZP2S/2vPgf+2v8KD8YfgNrt7dabBq1zpep2WraVNYX2mX9uwWa1uradVkglXKkowBw6noRXp1fF3/AARt8LeP9Qg/aC/aX8V/DXxJ4P0f4x/HvUfE3g3QPF2kSafqI0wWNlaJcz2smHt3lktpG2OA20KT1FfaNABRRRQB43+2V+3j+zn+wb4X0Dxb+0Tr+p2Vr4l12LSdJXStDuL53uJGVQXEKMIowXQF3IXLqOSQK9kr4Y/4OEfFmpWv/BP+5+Gvhr4WeOvFeteJ/F+gtptj4I8F3usPGtlq9lezvMLWNzCvkwSFWbAZgFHJr7K+GPxA0r4r/DnQ/iboWlatYWXiDSoNQtLLXtKlsb2COWMOqT28wWSCUA4aNwGUgggEUAbtFFFABXgXxK/4KX/sm/CL9qzQv2OfiF4p1rTvFniLUbbTdNvZvC17/ZDajcwma3sG1HyvswupIwGWLfuwRnGa99r84/27vjXf/Gr/AIKufCH9lH4p/BX4pW/wr+GHiTSfFy+IfD3wy1PUrHxN4ukOzTYXvYIWhtLGyE5nnlduZMI21Y2agD9HKKKKACiiigDwL9nb/gpZ+yr+1B8fvEX7M3wx13xDF4u8OaY+pvY+IfCN9pialp6XJtWvbKS5iRbu3Ew2ebHlSSMZHNe+1+av7B2leKfiB/wWk+In7Sfwx+Cnxp0DwVrHwomsPiBd/GvR7mH7F4iGriWCw0Z7osVtBEZ3aO2Y22dhXtX6VUAFFFFAEd1dW1jayXt7cJFDDGXllkYBUUDJYk9ABzmvKf2Mf22v2e/2+/hDP8dP2ZvFFzrPhmDX7zRxqFzp8lt5txbMqyFFkALJ8wKuOCDWJ/wUv+H/AO0L8WP2HfiB8Lv2XNEh1Lxh4j0yLTbfT5tcTTDc2U1zFHfxJdurLbyNZtcqkhVtrMp2kjFfPX/Bvl4K+Pfw2/Z++Lngf42/srv8KIIfj/4ouvD2htqhuU+zzXWWigJgi8y2hKrHFcqClwgEihRxQB99UUUUAFeNftift0/BX9iHTfC978XdI8X6nc+Mtal0rw5pHgjwhd63fXlzHbSXLqtvaI8hCwxSOSBwFJ7V7LXw7/wXI8EfDTxP8GfCviLxz4J/aAv9Y8PXmq3ngXWP2fLW7fUdL1t9Olt4Gnez/fxRyCZ0DD92fmEhCnBAPszwD4y074ieBtG+IGkadqVnaa5pVvf21prGnSWd3DHNGsipPBKBJDKAwDRuAysCCAQa1q8k/YJT9oSP9ij4Up+1g1wfiUPAWl/8JubwqZ/7S+zJ53m7fl83dnfjjfur1ugAooooA8R+Nn/BQz9mL4BftDeGf2W/HXiPWJ/GfieCC5j07QvDV5qKaXaz3H2aC6v5beN0sYJJ8xrJKVUsDzgZr26vx5/4KI/AL9sjwX/wWN1T41fs/wClfGFdc+IA+HafDjV/A4uf+EZ8qw1F4tdttfaP9ysSWTyyok/yn7QxTL9P2GoAKKKKACvmv4F/8FVP2aPj9+0837IPhzwt8SdD8bnSb3U7ey8afDbUtHhurO0lWKaeKW6iRZI97qAy5BLDB5r6Ur48/ZN8BeOfir/wVN/aJ/a/+IPgzV9M0vwzpuj/AAu+GcusadLb/arG2j/tHVLqDzFHmQy3tyiLKmVf7KcE4oA+w6KKKAP/2Q==", "info": {"equation": "105/15=7", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "105/15=7", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "23b252c91c8ba4bbd9ae79b25fff1671cf711f385d3c9a15922de0eac5d2ccd1"} +{"episode": 30636, "episode_seed": 300103187, "split": "train", "timestamp": "2025-10-28T03:46:24.606700", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 300103187, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 0, 2, 8])", "action": "('move', [0, 0, 2, 8])", "reward": 0.0, "image": 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", 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", "info": {"equation": "12*2=24", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "12*2=24", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "2688624844da2e1fc905cc3ccd01536545d9181864b04d03b4236350b72f2133"} +{"episode": 30637, "episode_seed": 1662479127, "split": "train", "timestamp": "2025-10-28T03:46:24.676429", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1662479127, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 7, 0])", "action": "('move', [1, 5, 7, 0])", "reward": 0.0, "image": 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", 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iRIfkXPyLGBj5QDX9Q1eQRfBz9iUftezfFSHw/wCCT8a20b99OL6E6z9i8sReaYN+4L5eI/N2Z2fLuwcUZ/lFXNY0lCrycsr/APBXmunz1PtPCrj/AAfAqzL2+C+sfWKLitE+W19JX/5dSv7/APhjoz5Y8Qn9mz466xpnhv4kftB2XxLjs75rjR/DXibxpZ6lbG58t1EwtVws0ixtIAWVtoZiADyPaP8Agk0Tbfs3a5oHhxpH8EaR8RtasvhpMY18p9ESVCogdc+dbpctdxxSEndHGvLDDHX/AOCinwc+F3xp+HXg74f/ABV8EWWt6LdeOkkn0+6DBHZNM1BkOUKsMMAeDXX/ALEHh/Q/Cf7M2geFvDGkwWGm6beapa2FjaxhI7eGPUrpEjUDoAoAH0ryMoy+tgeJJwqVnUap3u+t2lZ6vY+axOc0anCLwq5ryqK0Xbkgopvmjrfnk20/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/wc9eKPjLon7HXhXQ/A8t/F4T1fxb5PjaSzj/duEj8y0imYcrGZVZgPul40zyFB+Xv+CH3xp1bQ/gV4q8IeOP2o9Q8F6Hp2vxN4c02LxXaacjvLG7XTqso3vyIcnoCcDnNftD8d/CHwX8efCHX/AAp+0RYaLc+CruxP/CRR+IZ0ishArB98ruyiMKyqwfI2lQQQQDUHwD8CfAfwL8INC8Lfs56RoEHgq2tCfD6eHZUms2iZ2cvHIpYSBnZmLbjkkkkmvksy4fxOOzZ4mniXTvFLS91btqtHv6n7DhfETA4fwk/1YlgOaftuf2tly78172v7S3uf9e+vQ+CtJ8L/AAb8C/Gr4S/EX9mHUrK98d+IvixBb3niDRL6LUL/AMRafcSltd+2zBmNxCluHmdmyIZIoduwkA/pTXxF8E/gF8F/Cv7csPxv8O/DfTbTxdrfxL8T2+qa/GjGeeIR6qNnJIUfuo87QM7BnNfbtPhGhKhhKycm7VJLXytr8+p8dxbmlPMfqsIylNwp6yn8Tcm3yrWXuQ+zd3bcpWjflRX4K/8ABzf4o+Ml/wDtt6J4S8YS36+DrDwjBN4Ogkj22rySsftkiEcPIZERWJ5ASMcDGf3qrz74+/sp/s6ftS2mj2P7Qnwh0fxZFoF8bvR01aAt9mlIAYrgjKsFXcpyrbVyDgV6me5bVzbL3h6c+V3T8nbo/wCt0j1/CvjbA8AcX082xdD20FGcbK3NHmXxRvpfo9V7rkfnN+x98YNC+JH7EXg7Qf2jP2yr6O41Pwu1nrvh27+INnZxtZbpIo7eSNdrxo1sI1I3BiGOSCTXu37CPhPwH8NP269f8G/s5+H9O0zwre/Cq3u/HWn+HbOFbCDUku4k0l2Mf+rnltHvjtGN8caSEEkM31X+0bpemy/s7ePLWTT4TG3grVEZPLGCv2SUY+mK8Q/4Jx/Av4P/AAA8T+NvCXwX+H2n+HNOutG0O7ubXT1bEs7SakpkZnLMx2qo5PAHFfL0soxGX8QYWNTESqXUnrfSy21b0YVeKMNjMDmdaNN01Xk7Uo29kueV7vVa09ORKO6T5ly2f1RRRRX6AfnB4/qnwb/YkvP2vbL4p6v4e8EN8ak0fNjPNfQjWTZiN4vNW3L7mUR+Ynm7CQoK7sDA9cW1tUYMltGCOhCCv5i/2kfjH+1ToP8AwVC8U/E7xB4v1rRviTp3xFngtb95Ft57JFlMEEabvkSIW5RFB+QxnnKkk/s54J+OnhM+Jo7DQf2zrrxDd3ga3t9JuPHtndeczf3I4wHL8cbTnrXwsOMsHQlVjKg0+Z7W185bWffc/aPEXw0zDhahlk6uPWIVaimrtvktZ8sNX+7973Hpf3tEfblFYvw8udbvPBOm3XiIP9se3BmMgwx5OCwPQkYJ962q+1oVVXoRqJW5knZ7q6vqfjVSHs5uPZ2PJf28vEHxc8K/sZfE3xJ8Bxef8JfZeDL6bQW06HzLhJxETuiXu6jcVwCcgYBOBX8/n/BHn4o+MPBH7Zlubb4x3vhHSNa0e9j8V6xDrMNmZYViaWNXmnBAzcLD0+Yn2Jr+l2vHv2ZPgx+xB8NfEnjW+/ZQ8OeB7bVNQ1jHjr/hFb2GeSO8V5T5VwqO3kMrNLiLCgHdhRivns8ySvmmMo1Kdb2fLfvf1jqte+q0P1vgjxBwfDPA2cZPVwPtpYpRtOytG/u++2npH4qe/v8Aa9z4v+NXhH9i/wCMXg/xb47+MPxU0nx7d6d4Tkin8Q614ottTvNEtFZnjNrtOLdvPKlSqhpJCqEsCFr7x/ZP1f4na/8Asv8Aw71z41wXMXjC88E6ZN4ojvbYQzLftaxmcSRgAI/mFsqAMHIr5l/4KR/s/wDwU+LHxWuPFPxJ+Gmma1qHhf4aSXWgXF7Gx+xTeddNvVQQrHdGh+YEfKOK+1bElrKFmJJMS5J+lcXDeDqYPNcZTnUc3HkTb63Td3q9VtufK53nFLF8OYTDLmbUpS961qaXuqFPVu0tHPSOqilH3buWiiivsz4sr6u99HpN1JpibrlbdzbrjOX2naOffFfzS/sPeP8A9q3UP+CungrxlevrNx8S7/4oiPxatzabroLJM0WqJLGwwipbG5DDAEaocbdox/TFXxD4C+A3wb0f9vJPj5pnw606LxnqXxS1a0vvEQVjcSwCyvV2csVUbY0BKgEheTyc/JcT4eVXEYOSk1+8S087a+qtp6n694X8eYHg7Lc4w2IwirPE0HGLdtGlJcsr/YlzXklreK06r7eooor60/IQrC+KGjr4h+HGu6BJpiXqX2kz28to4OJkeMqy8cnKkjit2is61P2tKUL2umr+pUJck1LseTfsweDZNKl17xtMJ1bVvstsFkXClbfzjuXjPWZgT0+Xtg16zRRXLluCWXYGGGUr8q32vrc1xNd4mvKo1a4V/L94r+NH7Veg/wDBTLU/ij4q8ba3oPxNX4iS22pak8y2txZlpjbPFl/kjiWA+WAf3YjAH3a/qBrzxP2Tv2b4/wBoCT9qlPg5oo+Ictl9kk8V/Zz9qaLyxFjOdu7ywI9+N2z5c44rzs+yevm8aSp1OTklfr96t1XT1ep+oeF3iJl3AKzFYrBqv9ZouEdtHr7sr/8ALud/ftd+7HRny1oXxJ+GPivxXY6fH+1e/jK7juXfSNI1DxxaXv74xunmRxR4ZpBG8i98K7cdx9c/Ajwc3gP4V6Z4dfzg2+5unWcAOrXFxJcFSABjBlIA6gDnmurW1tUYMltGCOhCCpKjKciqZbi5YirXdSUly6rpe+7bPznF4+OJoqnGCik76f8ADIKKKK+iPOOB/aO0VdZ+HqM+lrciz1KG6DEEmApuxIMemcc8YJqb9nfwe3gz4ZQ2TiYPe6heX8iTjDKZ53lxjAwPm4zziu469aK82OXJZs8dzauHJb53vc6XiW8IqFut7/KwUUUV6RzH5pf8HPXin4y6J+x14V0PwPLfxeE9X8W+T42ks4/3bhI/MtIpmHIjMqswB+UvGmeQoPzH/wAERvjt4j0/4DeJPBfxD/av1bwhoOi61EnhTSv+EvtbCNfNWSW68tJgWK72jY4+UM7Y5LV+1PxT+Ffw7+N3w/1T4VfFnwhZ694d1q3EOqaTfx7orhAwYA4wQQyqwIIIKggggGovhV8HPhd8D/h/pvwr+EvgbT9B8PaPE0em6VYw4igVnZ2xnJJLMzEkkksSSSa+UzLh3F47NHiqeIdNOKWl7q3RarR7779D9ewviTlmH8Kf9VJYJSq+29p7TS1r83Ntf2n/AC72t7Pr0PAv2WNB8K+N/GGg+LfBni7+3rDRb+9v5NatdSjvFurqWG4ilaWZMqzs1zIxAwdw6AAivqKkSOOJdsaBR6KMUterk+V/2ThXRc3NuTk21bV28327n5ZjMV9bqqfLaytYKKKK9Y5DH+IWlLrvgLWtDk05LxL3SriCS0kztmV42VkOOeQSOPWvOv2XvBj6Vf6/4zlinjOoW9lYqki4XbbNctkcZzm4YHnHygcEGvXaK82vlyrZnSxjl/DUlbvzaf18jphiXDCzo2+JrX0CiiivSOY87v8A9kz9m7U/2gLf9qjUPg5os3xCtbP7Lb+KntyblIvLaL12lvLZk3kbtp25wAK9AW1tUYMltGCOhCCpKKiFOnTvypK7u7dX3fmdOIxmLxagq9SU+SKjHmbfLFbRV9oq7slogoooqzmPJf28vEHxc8K/sZfE3xJ8Bxef8JfZeDL6bQW06HzLhJxETuiXu6jcVwCcgYBOBX4Af8Edvi9498C/tgR6fZ/G/U/B+ga/pl2fGOowa7FZLcJHDJJAZJZ8qW+0FMH73zsBwzV/SzXnXwU/ZJ/Zr/Zy1jxDr/wO+DOieGrzxXeC68QT6bbbTeSBnYZySFUNI5CLhRuOAK+azvI8TmmLpVaVZ0+RNaXur9VZrV7PVaH61wV4jZdwtwTm2SV8Gqs8Wkoy0stLe/fW0Pjp2TtO+17nzF4Pl8BfGi61Xwr4d+OknjnVdW0z7Bc3B8T2+o3VravvUBREMIgaRmyVxk8ntX3BBEIYEhByEQLz7Ckjt4IjuihRT6qoFPrpybJp5VKrKdV1JTtdtdr+bvufmeNxqxailDlUb7ef3BRRRXuHCFeE6J8NReftGpfjSpbNdM8Q3OsN5CkJI8kE8W9i2eH84txj5hx0Ir3aivNzDLlj6lGTlb2c1L1t0OnD4l4eM0lfmVvQKKKK9I5gooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK5D4+fHf4V/sxfBvxD8ffjb4qi0Twr4W05r3WdSlRn8qMEABVUFndmKoqKCWZlABJrr6+Tf+C3vwV+J/wAef+CbPjjwd8HvCV54h1zT9T0LXovDunR77jVINN1izvp7aJP45Ght5NqdWYKo5NAHsn7Jf7XnwP8A21/hQfjD8BtdvbrTYNWudL1Oy1bSprC+0y/t2CzWt1bTqskEq5UlGAOHU9CK9Or4u/4I2+FvH+oQftBftL+K/hr4k8H6P8Y/j3qPibwboHi7SJNP1EaYLGytEuZ7WTD27yyW0jbHAbaFJ6ivtGgAooooA8b/AGyv28f2c/2DfC+geLf2idf1OytfEuuxaTpK6VodxfO9xIyqC4hRhFGC6Au5C5dRySBXslfDH/Bwj4s1K1/4J/3Pw18NfCzx14r1rxP4v0FtNsfBHgu91h41stXsr2d5haxuYV8mCQqzYDMAo5NfZXwx+IGlfFf4c6H8TdC0rVrCy8QaVBqFpZa9pUtjewRyxh1Se3mCyQSgHDRuAykEEAigDdooooAK8C+JX/BS/wDZN+EX7Vmhfsc/ELxTrWneLPEWo22m6bezeFr3+yG1G5hM1vYNqPlfZhdSRgMsW/dgjOM177X5x/t3fGu/+NX/AAVc+EP7KPxT+CvxSt/hX8MPEmk+Ll8Q+HvhlqepWPibxdIdmmwvewQtDaWNkJzPPK7cyYRtqxs1AH6OUUUUAFFFFAHgX7O3/BSz9lX9qD4/eIv2ZvhjrviGLxd4c0x9Tex8Q+Eb7TE1LT0uTate2UlzEi3duJhs82PKkkYyOa99r81f2DtK8U/ED/gtJ8RP2k/hj8FPjToHgrWPhRNYfEC7+Nej3MP2LxENXEsFhoz3RYraCIzu0dsxts7Cvav0qoAKKKKAI7q6trG1kvb24SKGGMvLLIwCooGSxJ6ADnNeU/sY/ttfs9/t9/CGf46fszeKLnWfDMGv3mjjULnT5Lbzbi2ZVkKLIAWT5gVccEGsT/gpf8P/ANoX4sfsO/ED4XfsuaJDqXjDxHpkWm2+nza4mmG5sprmKO/iS7dWW3kaza5VJCrbWZTtJGK+ev8Ag3y8FfHv4bfs/fFzwP8AG39ld/hRBD8f/FF14e0NtUNyn2ea6y0UBMEXmW0JVY4rlQUuEAkUKOKAPvqiiigArxr9sT9un4K/sQ6b4Xvfi7pHi/U7nxlrUuleHNI8EeELvW768uY7aS5dVt7RHkIWGKRyQOApPavZa+Hf+C5Hgj4aeJ/gz4V8ReOfBP7QF/rHh681W88C6x+z5a3b6jpetvp0tvA072f7+KOQTOgYfuz8wkIU4IB9meAfGWnfETwNo3xA0jTtSs7TXNKt7+2tNY06Szu4Y5o1kVJ4JQJIZQGAaNwGVgQQCDWtXkn7BKftCR/sUfClP2sGuD8Sh4C0v/hNzeFTP/aX2ZPO83b8vm7s78cb91et0AFFFFAHiPxs/wCChn7MXwC/aG8M/st+OvEesT+M/E8EFzHp2heGrzUU0u1nuPs0F1fy28bpYwST5jWSUqpYHnAzXt1fjz/wUR+AX7ZHgv8A4LG6p8av2f8ASvjCuufEAfDtPhxq/gcXP/CM+VYai8Wu22vtH+5WJLJ5ZUSf5T9oYpl+n7DUAFFFFABXzX8C/wDgqp+zR8fv2nm/ZB8OeFviTofjc6Te6nb2XjT4balo8N1Z2kqxTTxS3USLJHvdQGXIJYYPNfSlfHn7JvgLxz8Vf+Cpv7RP7X/xB8Gavpml+GdN0f4XfDOXWNOlt/tVjbR/2jql1B5ijzIZb25RFlTKv9lOCcUAfYdFFFAH/9k=", 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", "info": {"equation": "43+54=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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"info": {"equation": "43+54=97", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "357e017acbcbbe403d3a88dc1d7fcfc2e1650e2b90571504da08ac64b97ab734"} +{"episode": 30638, "episode_seed": 584104315, "split": "train", "timestamp": "2025-10-28T03:46:24.743943", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 584104315, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 3, 4])", "action": "('move', [6, 1, 3, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "19*8=152", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", "info": {"equation": "19*8=152", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "3a98350980e7ea8479b559b9a835980432216783dad1829305867f885909a729"} +{"episode": 30639, "episode_seed": 288201469, "split": "train", "timestamp": "2025-10-28T03:46:24.814129", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 288201469, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 6, 1, 4])", "action": "('move', [4, 6, 1, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "16+80=96", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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T+919VbT1Pd8JuPMBwQ8zWJwir+3oOKvbRq/uyv8A8u583v2u/djozmPER/Zs+O2saZ4a+JH7Qdl8S47S+a40fw14m8aWepWxuRG6iYWq4WaRY2kwWVtoZiADyPbf+CUt9fT/ALOmt6Ppd9c3XgzR/iFq+nfDO5nw0baDE0axJbyAnzraOf7VDC5JzFEgBKgE6X/BRT4OfC740/Drwd8P/ir4Istb0W68dJJPp90GCOyaZqDIcoVYYYA8Guv/AGIPD+h+E/2ZtA8LeGNJgsNN0281S1sLG1jCR28MepXSJGoHQBQAPpXNlGX1sDxJOFSs6jVO931u0rPV7Hy2JzmjV4R+qrmvKorRduSCim+aOt+eTbT92KSvrJy931ivDv8AgpV4m+MXg39g34p+J/gE98niyy8JzyaZLpkW+5hXKiaSIdd6wmVgR8wKgjkCvcaCAwKsAQRyDX2dem61GVNO101dbq63+R8vleMjl2Z0MXKmqipzjJxltLlknyvydrPyZ/NL/wAEb/H3xM0j9svw/wCAvDvie8h8Oa/emfxRpqTjybw29vcNbO6t95klfKlfmG5v4d1fsn+zN8QdU/4S7W/BHhH4hve6haeOL2a58OpqaSGxSS4IAaFfmijcZf5uCWZgfTqvif8Aso/s5fsw+BYm+AHwf0bwofEfxB0+71s6TblPtUoE20nJOFXe+1BhV3NgDJr0f9jqNB8KLyQINx8Xazlscn/Tpq/NsJw7iaObxwjrtNQ5rxvtz/CtV6+vQ/VvEzj7L+OM6nnGFwvs4NRhaVuZuMfila6vryrX4Yx16Hq1FFFfpx+Nn5pf8HPXij4y6J+x14V0PwPLfxeE9X8W+V42ks4/3bhI/MtIpmHKxmVWYD7peNM8hQfl7/gh78adV0T4FeK/CHjj9qPUPBeh6dr8TeHdNi8V2mnI7yxu90wWUb358nJ6AnjnNfrZ+3p4J8KfEj9mTVvAXjrQYdU0bVtb0S31LT7nPl3ETataZVtpBx9CDWJ/wT4+Gfw/+Fnwo8QfD/4d+ELHR9F0zxjPHYadZxYjhU2loxxnJJLMxJJJJJJNfC5pllfG8TctOvKDdO910s7WWq0e/qfsuE8QcvoeED4alglKp7fm59LWvzc21/af8u9rez69D5OsPBPwO8H/ABv+D/xL/Zrn0zUvH2sfF2FJPEekXUOo6hrtlcu4157ucFmmjW1MsjueIXWILs3BW/S6viL4J/AL4L+Ff25Yfjf4d+G+m2ni7W/iX4nt9U1+NGM88Qj1UbOSQo/dR52gZ2DOa+3a7uEaEqGErJyb/eSWvlZX+fU+K4tzWnmP1WEZSm4U9ZT+JuTb5VrL3IfZu7tuUrRvyor4p+Onju5039u/xvZ/GDxc2maPpPw80yfwbDqlwlvZDTnad9Uuo2YgO4mihWZjyiRw52qQW+1q+VP+CjPwE+Dfx78ceAtJ+M3w60/xHa6Vo2u3mn2+oqxSGcS6Yu8BWGeCQQcg9xW/FtJ1MjqNStytP11Ss/vv8jl4UxWBw+ZSp4uLcKsXFuKTlDWMlKKk0r+7yvVe7KWvR+FftP8AxD/aetf+DfJvF3hq515dfn8ORW93emwEN8fDbXzRJPIigeXv03yWdgAQrsx28kfNX/Bq/rXxWj+PPxM8O6bBdN4Hl8JwXGsSC2BhTVFuUW0Bk6q5he8wo+8FJP3RX6oXFvBP/wAE93tJoVaJ/g0UaPb8pU6TgjHpivPP+CcfwL+EHwA8T+NvCPwY+H2n+HdNudG0O7ubWwVsSztJqSmRmdmZjhVHJ4A4rgrYSUOIMC+dv3Gv/AY/+3X1P0XA+ImW4fw6znJPqMVPFVvaRatywUpRfK9E/wB3y/u7aava2v1RRRRX2h+KHj+qfBv9iS8/a9svinq/h7wQ3xqTR82M819CNZNmI3i81bcvuZRH5iebsJCgruwMD1xbW1RgyW0YI6EIK/mL/aR+Mf7VOg/8FQvFPxO8QeL9a0b4k6d8RZ4LW/eRbeeyRZTBBGm75EiFuURQfkMZ5ypJP7OeCfjp4TPiaOw0H9s668Q3d4Gt7fSbjx7Z3XnM39yOMBy/HG05618LDjLB0JVYyoNPme1tfOW1n33P2jxF8NMw4WoZZOrj1iFWopq7b5LWfLDV/u/e9x6X97RH25RWL8PLnW7zwTpt14iD/bHtwZjIMMeTgsD0JGCfetqvtaFVV6EaiVuZJ2e6ur6n41Uh7Obj2djyX9vLxB8XPCv7GXxN8SfAcXn/AAl9l4MvptBbTofMuEnERO6Je7qNxXAJyBgE4Ffz+f8ABHn4o+MPBH7Zlubb4x3vhHSNa0e9j8V6xDrMNmZYViaWNXmnBAzcLD0+Yn2Jr+l2vHv2ZPgx+xB8NfEnjW+/ZQ8OeB7bVNQ1jHjr/hFb2GeSO8V5T5VwqO3kMrNLiLCgHdhRivns8ySvmmMo1Kdb2fLfvf1jqte+q0P1vgjxBwfDPA2cZPVwPtpYpRtOytG/u++2npH4qe/v9r3Pi/41eEf2L/jF4P8AFvjv4w/FTSfHt3p3hOSKfxDrXii21O80S0VmeM2u04t288qVKqGkkKoSwIWvvH9k/V/idr/7L/w71z41wXMXjC88E6ZN4ojvbYQzLftaxmcSRgAI/mFsqAMHIr5l/wCCkf7P/wAFPix8VrjxT8Sfhppmtah4X+Gkl1oFxexsfsU3nXTb1UEKx3RofmBHyjivtWxJayhZiSTEuSfpXFw3g6mDzXGU51HNx5E2+t03d6vVbbnyud5xSxfDmEwy5m1KUvetaml7qhT1btLRz0jqopR927lr86v+DmHxP8YtA/YP0zTvh7LfxeHtV8YW9t43lso8qbTy3eFJmHKxtcLF7Fgik8gH9Fa8i/br8JeG/Hn7LviHwV4x0eLUNK1W80q11GxnzsnhfU7VXQ4IOCCRwQa+hzmk62VV4J291/gr/jscnBGeUeG+LsFmdakqsaVSMnF9VfpfTmW8f7yR+P3/AAQz+M2teHvhb428G+Mv2nL/AMFeHbPWLWfQbCHxTaacktzLHJ9qcCUFnO2O2yfujtyTX1Zf+GPgz4O+Inw7+LH7NOs2WqfEnXPi7YxR+J9I1GLUdT1+O4uYxrUd1MGYzwLYedJIp+SARRsoj4z9Yf8ABPT4U/Df4Q/DbxX8Pfhl4LsNF0TT/GrfY9Os4sJHv03T3Y5YkklmYkkk5NeReAPgH8GdE/bwj+PWk/DjTYPGWo/FLVrS98QqjG4kgFlers5bao2xoCVAJC8nk5/PaeVYinhsDXlXk1OcEo6+7ftr09Efoec8dYHN+NMzzWnRlShNSahG1qloqKjV1S5Z6yqW57ttJa8y+36KKK/VD8TCsL4oaOviH4ca7oEmmJepfaTPby2jg4mR4yrLxycqSOK3aKzrU/a0pQva6av6lQlyTUux5N+zB4Nk0qXXvG0wnVtW+y2wWRcKVt/OO5eM9ZmBPT5e2DXrNFFcuW4JZdgYYZSvyrfa+tzXE13ia8qjVrhX5PeOPjb4n8O/saan418TfF2/0b4rS/Esx6rcXN1bw6ha+If7aVHtPLkysUcduqqoxhbVEkB2/Of1hrztP2TP2bo/2gZP2qU+DeiD4hy2X2WTxX9m/wBKaLyhF1zt3eWBHvxu2fLnHFedn2T1s3jSVOpyckr/APBXmunq9T6bhfO8qyiNVY2j7RNwnGyi7yp837uV9qdTm99q791e6+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+19k8D/ZY0Hwr438YaD4t8GeLv7esNFv72/k1q11KO8W6upYbiKVpZkyrOzXMjEDB3DoACK+oqRI44l2xoFHooxS162T5X/ZOFdFzc25OTbVtXbzfbufL4zFfW6qny2srWCvin46eO7nTf28PG9l8X/FzabpGk/DzTJ/BkGp3CW9kNOdpn1S6jZiA7iaKBZmPKJHDnapBb7Wrz34/fso/s5ftTWmj2P7Qvwg0bxZFoF6bvR01aAv8AZpWADFcEZVgq7kOVbauQcCpz3Laua5e8PTnyu6fk7dH/AFvY9XhzMcvy7GT+uxbpzi4txSc4+9GSlFSaV/d5XqvdlLXo/gH9lr46+F/F/wCzP4fi+Kf7bOpAXdlc28uj6p45sLQSaaLiaO2imtwoMYa0EIZOGwxzg5r7g/ZW8LQwT638QbZ3aHV7OxtbZlIMTxQG4dXQgfMD9pIzkg4GOhz62thYooRLOIBRgARjAFSgADAGAOwrzsv4crYPHQxNXEyqciaSa7q3WT/qxOa5zQzCrWdGgqUaknKy2im7pKyW2y8gooor6k8E87v/ANkz9m7U/wBoC3/ao1D4OaLN8QrWz+y2/ip7cm5SLy2i9dpby2ZN5G7aducACvQFtbVGDJbRgjoQgqSiohTp078qSu7u3V935nTiMZi8WoKvUlPkiox5m3yxW0VfaKu7JaIKKKKs5jyX9vLxB8XPCv7GXxN8SfAcXn/CX2Xgy+m0FtOh8y4ScRE7ol7uo3FcAnIGATgV+AH/AAR2+L3j3wL+2BHp9n8b9T8H6Br+mXZ8Y6jBrsVktwkcMkkBklnypb7QUwfvfOwHDNX9LNedfBT9kn9mv9nLWPEOv/A74M6J4avPFd4LrxBPptttN5IGdhnJIVQ0jkIuFG44Ar5rO8jxOaYulVpVnT5E1pe6v1VmtXs9VofrXBXiNl3C3BObZJXwaqzxaSjLSy0t799bQ+OnZO077XufMXg+XwF8aLrVfCvh346SeOdV1bTPsFzcHxPb6jdWtq+9QFEQwiBpGbJXGTye1fcEEQhgSEHIRAvPsKSO3giO6KFFPqqgU+unJsmnlUqsp1XUlO1212v5u+5+Z43GrFqKUOVRvt5/cFfMX/BSjxLr+gD4TWt7rd1pvgy9+JESeMLuIhICyWk8unxXMhI8uF75LcckBnEak/MAfp2sP4lfDXwH8YvAeq/DD4n+FbTW/D+t2bWuq6Vfx7oriJuqkdQcgEEYIIBBBANd+ZYWeOwNShGXK5K1/wCunfyN8kx2Hy7NKdevDmgrprRu0ouN4305o35o305kj87PDPx80a1/ak+KfhNv2ur3wxoGmpovl2Fp4ssrCBNXa3lS9RS4LSMsUNkHBJ2OWXgggfQ37MOh+EfiB4v0PxH4M8b/APCRWmj6xc6jda3bapFe/abpoJ4n86ZMqXP2gkgYPA7V798H/gd8I/gB8PbD4UfBrwBp3h7w7pnmfYdKsIcRxF3aRz82SxZ2ZiSSSTXUxxxxLtijVR6KMV8xg+FMRQqUZ1cS5Km1Lls7XXRXenrbY9TOM8wOKxNT6nQ5YOKim7KTUYqPNJK6UpW5pJSdm93u3UUUV9ofLBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAVyHx8+O/wr/Zi+DfiH4+/G3xVFonhXwtpzXus6lKjP5UYIACqoLO7MVRUUEszKACTXX18m/8ABb34K/E/48/8E2fHHg74PeErzxDrmn6noWvReHdOj33GqQabrFnfT20SfxyNDbybU6swVRyaAPZP2S/2vPgf+2v8KD8YfgNrt7dabBq1zpep2WraVNYX2mX9uwWa1uradVkglXKkowBw6noRXp1fF3/BG3wt4/1CD9oL9pfxX8NfEng/R/jH8e9R8TeDdA8XaRJp+ojTBY2VolzPayYe3eWS2kbY4DbQpPUV9o0AFFFFAHjf7ZX7eP7Of7BvhfQPFv7ROv6nZWviXXYtJ0ldK0O4vne4kZVBcQowijBdAXchcuo5JAr2Svhj/g4R8Wala/8ABP8Aufhr4a+FnjrxXrXifxfoLabY+CPBd7rDxrZavZXs7zC1jcwr5MEhVmwGYBRya+yvhj8QNK+K/wAOdD+JuhaVq1hZeINKg1C0ste0qWxvYI5Yw6pPbzBZIJQDho3AZSCCARQBu0UUUAFeBfEr/gpf+yb8Iv2rNC/Y5+IXinWtO8WeItRttN029m8LXv8AZDajcwma3sG1HyvswupIwGWLfuwRnGa99r84/wBu7413/wAav+Crnwh/ZR+KfwV+KVv8K/hh4k0nxcviHw98MtT1Kx8TeLpDs02F72CFobSxshOZ55XbmTCNtWNmoA/RyiiigAooooA8C/Z2/wCCln7Kv7UHx+8RfszfDHXfEMXi7w5pj6m9j4h8I32mJqWnpcm1a9spLmJFu7cTDZ5seVJIxkc177X5q/sHaV4p+IH/AAWk+In7Sfwx+Cnxp0DwVrHwomsPiBd/GvR7mH7F4iGriWCw0Z7osVtBEZ3aO2Y22dhXtX6VUAFFFFAEd1dW1jayXt7cJFDDGXllkYBUUDJYk9ABzmvKf2Mf22v2e/2+/hDP8dP2ZvFFzrPhmDX7zRxqFzp8lt5txbMqyFFkALJ8wKuOCDWJ/wAFL/h/+0L8WP2HfiB8Lv2XNEh1Lxh4j0yLTbfT5tcTTDc2U1zFHfxJdurLbyNZtcqkhVtrMp2kjFfPX/Bvl4K+Pfw2/Z++Lngf42/srv8ACiCH4/8Aii68PaG2qG5T7PNdZaKAmCLzLaEqscVyoKXCASKFHFAH31RRRQAV41+2J+3T8Ff2IdN8L3vxd0jxfqdz4y1qXSvDmkeCPCF3rd9eXMdtJcuq29ojyELDFI5IHAUntXstfDv/AAXI8EfDTxP8GfCviLxz4J/aAv8AWPD15qt54F1j9ny1u31HS9bfTpbeBp3s/wB/FHIJnQMP3Z+YSEKcEA+zPAPjLTviJ4G0b4gaRp2pWdprmlW9/bWmsadJZ3cMc0ayKk8EoEkMoDANG4DKwIIBBrWryT9glP2hI/2KPhSn7WDXB+JQ8BaX/wAJubwqZ/7S+zJ53m7fl83dnfjjfur1ugAooooA8R+Nn/BQz9mL4BftDeGf2W/HXiPWJ/GfieCC5j07QvDV5qKaXaz3H2aC6v5beN0sYJJ8xrJKVUsDzgZr26vx5/4KI/AL9sjwX/wWN1T41fs/6V8YV1z4gD4dp8ONX8Di5/4RnyrDUXi12219o/3KxJZPLKiT/KftDFMv0/YagAooooAK+a/gX/wVU/Zo+P37Tzfsg+HPC3xJ0PxudJvdTt7Lxp8NtS0eG6s7SVYpp4pbqJFkj3uoDLkEsMHmvpSvjz9k3wF45+Kv/BU39on9r/4g+DNX0zS/DOm6P8LvhnLrGnS2/wBqsbaP+0dUuoPMUeZDLe3KIsqZV/spwTigD7DooooA/9k=", 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", "info": {"equation": "16+80=96", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "b761845b6cb010011fb71c7ffaccf22f2d4573579ca3b46ba9091c03bfcafdbf"} +{"episode": 30640, "episode_seed": 532660104, "split": "train", "timestamp": "2025-10-28T03:46:24.904007", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 532660104, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 4, 8])", "action": "('move', [6, 6, 4, 8])", "reward": 0.0, "image": 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", 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", 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SjCtfl6Nq0u9uttuh9dxrxtg8/wABllGjhVTdDCwouWl243Tasvh6pN3u5Dq+Ef8Ag40134j6J/wTR1aPwFJdpZ33ivTLXxU9qmcaazSHDnqqG4W1UnvuCnhjX3dWH8Svht4E+MPgPVfhh8TvC9rrWga5Zta6rpd6hMVxE3VTjBHYgggggEEEV9dmGGljMFUoRdnJNX9T5DhHOqPDnE+DzStT9pGhUhNx7qLTdr6X6q/Wx+SH/BIj4p+LF/ZE8HeJPH/xLuLI6b8RZtL0a/u9Sji2WiaY0VvZh2/gJJjVD8xBAH8Nfrh8OLjV7vwNplxrpc3T2qmUy53H0Jz3IwTXgvg/wL4Q+G/7UOjfDvwL4etdL0PQ76Cy0nTLWPEVrbxeHnSONR6BQB619K181wvllXCVa05VXLlk4W6XVve3+R3ca55Qz/O6+OpUVTjWnKolpopybUdO19fMKKKK+xPjz8Pv2MvF/wC0RqP/AAcmeKrnxCupSX1x4q8SWPiIT2wJj0OKCUWgbP3IgsVhsYdf3eM7uf3Br5f8IfCf4baZ/wAFGte+M1h4NsovFWqSS6fqGuqp8+a1j0qyKQkk4CgqvQAnaM5wK+oK+f4doujRrxcm/wB7Pf1S/wCCfoniRxXheLsfgq9DDqiqWGo0mlbVwTu1bpryx68qW2wV+Y3/AAdG658SdP8A2RvA2j+HXu08Nah43K+JWgT928iW7vapIw6KWErAdC0YPVRX6c14l+3z8MvAPxh+CVp8Ovif4Wtta0PUfE9iL3TbssI5thd1ztIPDKp4PaunP6bqZNXV7e6392v42seZ4fZ9h+GONMDmlel7SFKom46Xs01dX05o35o3tqlqtzG/4JO6p8QNZ/4Jv/B2/wDidFOurHwXboBcwiNzaIWS0YgdjbLCQepBBPJr6GrjP2crS10/9n7wRp9jbpDBb+E9PighjXCxotugVQB0AAAA9q7Ou7BxcMHTje9or8jwc6xsMyzjE4uEFBVKk5qK2ipSb5V5K9kePftja7oXhDwKnjPUhmbTYbiYRgLmWNY9xXJI5LBAB3Ldq1/2PoNIh/Zq8IzaSGD3Ol/adT8yNFc6hI7PebwjMA/2lpgwDNggjJxmuB+Ndinx8+OugfCmBZH0yG6e61R1IAENkRKeqMCGu2tEI4JUMQe1dP8Askwar4ct/FPgfUAv2eDX5L/TgHXMYuBuni2hQRi5WaTJ3Z88c8YHy+X4mnLiOrV5Vy1bxi+7pqN/v19bG2IpSWWxhfWNm15Svb+vM9hooor7E8Y/HT/g6p1/4mQ6x8H/AA9BLeJ4TaLUrpRGn7l9TVoVBYjrIsTfKD0Ej46mv1Y/Zx1Hxzq/7PXgPVvidFNH4luvBmlzeIUuIRHIt81pEZwyDhW8wvkDoeK8b/4KW/Cb4a/GDwN4a0T4oeDLLXLPTr++1Kytr5WKRXcNjL5cuARkruPByDnkGvo3RGZ9Fs2Y5JtYyT/wEV8/gKThn+LlzN3VPT5P/L8T9E4g4rwuacA5Rk0MOozwsq7lPT3ueSat1/xX3aVjjf2pdU8caH+zR8Qda+GbXa+IrTwVqk2htYQ+ZOt2trIYjGv8Thwu0dzivlf4NeP/ABmnhz4uJ+zZ4hudWg0r4A2N14cksVjuQusfZ9Qax2OMl5pIhC5Qk5BibHzgn7kPTivl/wD4JofCX4a/CDQPEukfDHwXZaJbanBpepahFZKR9ou5YpfMmYsSSx2j2GAABUZlQlUzzCSUmtKi0/w7/j+B4+TZngcHk1eNWip1IyhKN0nF3lG6l10UbRSv8cr26/Cv/Bq1rnxJvdf+M1jfNdzeHZE0y6uLiePKnU2e4BPmHku0eSw9gT2z+xVfL3/BNf4TfDb4S2Xiqz+Gvgyy0aPWbfS9U1RbNW/0q8lFz5kzliSWO0ewxwBX1DWvDMHTySkr33/9KZ6PidxLhuLuNsVmtCj7KFTktHS/uwjG7tpd2uec/Fj4a/sweLvi34A8V/GXRvC9x4z0W9un+HMus3UaXizmNTP9kRmBmYKqMQA23aG4IBr0OO3giO6KBFPqqgV+HH/Bwz8SPjz4R/4Ke/D3U9B8R6ppMPh/w9pt54CvbdxEtvcvdyGaaJj8u/zEQMW7Igb5cZ/Rf9nD4t2viPx9beH/AAT+0pc+N52uopbqyl8V2+otBECVZtsIBVCGOSeMgdMV59TijC4bMqmGlRfNzJXSWuyu/wBN9LHocScDYvKuGMozGWLVSOJpTmoNv93aV+WOr0fNd7e/z+p9Z0UUV9cfmR89f8FYNc+JPhv/AIJyfF/WfhK92mtxeD5gkljHuljtmdFunXuNtsZm3DlQCRyBXyV/wa3ap4/uv2RPHema3FP/AMI7a+O86BJJCAhme1iNyqN1YDEJI6AsfU1+inxqghuvg34ttriMPHJ4Zv1dG6MDbyAivK/+CeXwt+Hnwa+DusfD74WeEbTQ9Fs/FDvbadZBtiNJZWbucsSSSzEkknrXz+Jot8SUKnM/gnp00a/+S/BH6Jl3FeFwvhljuH5YdOpVr06iqaaJLVd7rltHpac9uvvVFFFfQH52fh/+2f4w/aI/4iSfCAsF1J7nTvF3hyz8Kw/ZgwXRJIYjdeWDwYiJr8s3YmQ5BXj9wK+X/jb8J/htrX7fnhD4w6t4MsrjxRolppNlpOtyqxmtLeWXUPMjTnADbmycZ+YjPJr6gr5/I6TpYjGXk3eq/wAk/wBbfJH6Jx3xZheJcvyijRw6pPC4aNKT095xbV9OmnNrrzSl6v4b/wCDiLXPiTon/BMvxCPh892lteeIdNtvFElomdumtKdwc9VRphbqSOu7aeGNfLv/AASW+MVtrX7F3hjwz8XP2o7q2+x6xcWWkeEb/wAYWsEL2Ucy+REbdv3jJ5m4KCecADgAV+nH7ZXhTw746/Zq8T+DPF+kRahpWqxW1rqNjPnZPC91CrocEHBBI4INQfsZ+CfCPgT9nPQvBng7w5aadpWlXWo2unWNtFhLeFNQuFVFzk4AHUkn1NeZm2VVsyz3khWdO9Pp25rW3Wjvc6sLxng8P4ZrIXhVKosV7Xn029nbs3zdL7cuh03wJ8Ot4Y+F+n6fIJQ001zduswwwM9xJNjGBx8/HtXX0UV9ZhaCw2GhRTvypK/orH5rVn7WrKfdt/efnR+1F8XdU8I/Enx1d+IvjBe+GPEUfxy0PT9PuDqFvay2ulPFZBVhMuQkDWbXshkx97zjnKnH0D+yV8To/GPi1NK8I/HWfxzaW7yNqM0viKHUTbK8fyqzQ8IMoCoYZznHU17JqH7PfwT1X422f7R+pfDXS5vHNhoraRZ+JpIM3MVkzMxhBzjGXfnGQHYA4JFdhHDDDnyolXPXauK+Zo8N4uGYSxDxMlF1OflV7PW+uvy2eh9Rm2e5bi8LSp4fD2koJSbSXvcqi1G1/cXLdXs7ylfu3UUUV9afJnlM3go3n7UEXiIWDwi1j+2tNGp2zk2jWoLE+zkcY+4PfPq1FFcWCwawftLSvzzlL0v0+RvXrOty6WskvuCiiiu0wPKdH8EtN+05feJmsHgFrC9yXjB2TNJBFCGYnqdqY4x9z2NerUUVxYHBrBRmlK/NKUv/AAJ3t8jevWddxdrWSX3BXCftE6YdS+HoYacLg22owzr8pJjIJAcY784+hNd3RV47C/XcHUoXtzJq/a5NCr7CtGpa9ncxPhr4eHhL4d6F4WBkP9naRbW2ZcbvkjVecAc8Vt0UVvTgqdNQXRWM5Pmk2c/4R+Hum+ENb1bW7O5aR9UuPM2MoAhXJJUevzMTn6emSeFPh7pvhPxBq3iC0uXkfVJt+xlAEQyWKg98sSfy+p6CiuaGX4KlycsEuRtx8nK9/vuzWWIrS5ry3ST+W35BRRRXYYnl37UnhI+L/DenacunPKZbmW2WeJSXhM0TR/L25DEcg84r0yythZ2UNmpJEUSoCepwMVLRXFRwao42riOa/tOXTtypr8bm86znQhTt8N/xOD/al1Txxof7NHxB1r4Ztdr4itPBWqTaG1hD5k63a2shiMa/xOHC7R3OK+ENB+NngPR/jP8A8Ix4c/ayuPDPh2L4Y6JPEth4us7OO4leW48mQvJlpJGtwrEZ4Uo38YJ/SuuM+DX7O/wQ/Z60LUPDPwU+GOk+G7DVdYm1XULXTbfak95LtEkpznkhVGBwAoAAAxXlZzkuIzPE0qtKs6fKmtL31ttZr56nv5XnGXYLKK+HrUeepJ3g7K2tr8zevuqPuWT1lK9uvHfseaBosHhq98XeHL9brTtRtrO30+5hnWWGaCFZCkiOuQ4Pmn5gSDjjvXslIqqihUUADoAKWvUy3BLLsDDD83Ny9dr63PAxNf6zXlUta5x3j79n34K/FLx/4V+KfxD+G2mav4h8EXE0/hTVryHdLpskoUSNGc452KeQcFQRgjNddHbwRHdFAin1VQKfRXYoQi20tXv5+oqmIxFanCnUm3GCtFNtqKbbaS6Jtt2XVt7sKKKKoxM3xlYDVfCOq6W1mtwLnTZ4jbtnEoaNhtOOec4/GuN/Zo8NN4f8C3d06SodT1Z7rZKMbQIYYBgYzjEIPPcmvRKK4p4NTx8MVzfDGUberTv+BvGu44eVK27Tv6XCiiiu0wPKfHfglte/aJ0HUjYPGIY4LhrqIf6wW5mYKxORgNIR2Pzj1FerUUVxYPBrCTqyUr+0k5emiVvwN61Z1owVrcqt+Z4N/wAFBtc1fQ/hl4SaLU7iy0W6+JWjweJ7mEAItoWkaFZXP3InvVs42PGd+3oxr5h+BP7Q2gf8JL4nSf8AbAuLSGy+I2p2ug+H28Y2UFu8AkTMawY3uhuGuApzlsDBPFffvxF+Hfgj4t+BdV+GfxJ8NWusaDrli9nqul3ibo7mFxhlOOR7EEEHBBBGaPAfw68C/DDwZpXw7+H/AIWs9K0TQ7CKy0nTrSELHbQRqFRF78ADk5J6kk14maZBiswzD6xTxDprl5dL338mtP1PosNneW0MhWFlQ5qylu0uXl3vfV89/d2ty+Yz4aXOr3fgPTLnXTIbp7YGRpc7iMnaTnnJXBrdoor6LD0nQoQpt35Uld9bK1/mfM1J89Ryta7uFFFFbEBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXkY/bi/ZvP7YR/YTHjSf/AIWMPD39rnTv7Mn+zeXt8zyPtO3yvtPk/v8AyN2/yvnxt5r1yvzrT4QfGUf8Fx2J+EviX+wf+E5PxE/4Tn+y3/sj+zD4FXw79j+1fc+1fbgf9Hzu8v8AeYxzQB+ilFFFAHA/tP8A7Svwp/ZA+BPiH9o3426le2nhjwxarcapNp2my3k4VpFjUJDErO5LOo4GAMkkAEjsvD2u6d4o8P2PibSJGe01GziurV3QqWjkQOpIPIOCOK8M/wCCqevzaB/wTi+Na2XhHxFr15qnw41XR9N0jwroFxqd9c3d9bvZwKlvbq0jL5s6F2AIRAznCqTXoH7Kfi+18e/s0eA/FtloWs6ZHeeE7EjT/EOkTWF9blYFUpNbzKskLgqcqwBFAHf0UUUAeSfCr9t39n34y/tH+Nf2UvBevap/wmngO2W51ix1LQLq0huIDKYHmtJpo1ju445h5LvEWVZPlJzXrdfF37MHxLvPjZ/wVy+NfiXx38MfHeg3fgbwnB4M8AT6r4IvbXSL7SIrmK51C/j1GSMW9xLcXs0aRxI5IhsN+DvbH2jQAV5Z+19+2N8E/wBh34Tn41fHu61qHQUvRbzTaF4dutTlhHlySvNJHbI7RwxxRSSSSsAiKhJPTPqdfIP/AAXFhj8Q/wDBPfxh8L4fh18VPEepeL7SbTPDdv8ACfT57m5TVzbyyWK3qwnP2CSdI4pvMDQlZNsg2sTQB9baVqmna5pdtrekXaXFpeW6T2s8ZyskbqGVh7EEH8asVi/DaDxJa/DrQLXxja28Grx6LarqsNogWKO5EKiVUC8BQ+4ADjGK2qACvOvhD+1R8GPjp8VviR8GPhr4hmvtc+FGtWmleM0No6RW13cWq3KRpIRtlIjYBtudrAqeRXotfnl/wRX+Fn7Xfwm/aR/aS0/9qX9nIeELnWtY0TVJfEcPiIX8HiHUJo7uW5uImWCNSG81WKqz+TuWEklNxAP0NooooA8m/aM/bM+E37MXjnwJ8OPHmheL9T1j4iajNaeHrPwl4Ru9WZPJe3Wae4+zI32eBDcw7pXwihskjFes18L/APBaDwv4w1PUvg/4p+B3hj4vy/FnTPFaQfDbWfhxBMdJtJp9R0v7bFrjxfKllJawyEib9ywikz84QV90UAFNmmhtoXuLiVY441LO7tgKBySSegp1c58YvDGr+NvhF4q8GaBMI7/V/Dl9ZWUjNgLNLbvGhJ7YZhzQByn7Kf7XnwT/AG0Ph9d/FH4Dapql7odpq8tgl7qehXNiLsoqOtxbi4RDPbSI6PHOmUkVsgnBx6dXwL/wbzeCPj/8N/2RNa8B/GTS/iRYaVoutadp/hfTvimJhqNq8Gh6dDqkcAm+ZbBdTS9W2A+Tyx+7+TbX31QAV4p8c/29/gj+zt+0L4H/AGbPiToXjVNZ+IV7aWXh3WNP8E3tzoxurmaWKK3m1BIzBDMTC7GNmDBAHI2kGva6+b/2oPCPiv4rft2fs6eCoPDeoz+GPCF34i8da/qIspDZxXlrp40zT4XlxsErPq08qITuItmYDCmgD6QooooA5r4yfFzwD8AvhP4j+NvxU1wab4b8J6Lcarrl+YmfyLWCMySMFUFmO1ThQCScAcmsL9l39p/4Tftg/Buw+OfwWv8AUJtFvru6tGh1jSprC8tLq2ne3uLe4t51WSGWOWN1ZGAIxXI/8FL/AA38QvGP/BPf40eE/hR4SbXvEWp/DbV7XS9GjtRPJeSPaupijjbh5CpbYvd9tcB/wRd8Ja74L/YZs9Hv/BfizQtJk8c+JrrwjbfECykg8QT6NNrF1LZ3GpLL+9N3JG4d2l/eNlS3JoA+r6KKKAPI1/bk/Zvf9sNv2FF8Z3H/AAsVNA/tZtP/ALLn+y7Ngl+z/atvk/afJIn8jdv8o78bea9cr87/ABh+zf8AEbUP+C/nhX4m+A5vHX/CLWlnceLvHNvf+DBFoEd4PDcuhW09tq2/9/NIskUTWQUGP7PLKThkr9EKACvNvjP+1j8GfgJ8Uvhz8G/iLq1/Dr3xU1yfSfCFvaaVNPHLcQw+c/myopSBQuAC5G4nAzzj0mvkH/gqd8TV8DfEX9mezX4aeOvEHlfHm01e+n8H+Cr3VotPs4LC8tZJbl7aNxbr5t/BjeRuUSMMiNsAHsf7LX7cX7OH7ZV94z074AeNJ9Wl8B+IG0jXhcaZPbAyAuqzwGVVFxbSNFKqTplHMMgBO0163X51/wDBCv4PfGX4eeJPHg+KPwk8R+E18IeCPDHw7mfxBpj2yaxqekXmuTXV5aFv+Pi1KahbFLhcq+9gD8pr9FKAP//Z", "info": {"equation": "2+17*10=172", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "2+17*10=172", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "f2d55e6c20a8760943280a36fc0ab8c47effe63ff78cd31600440f6dd04b03f7"} +{"episode": 30641, "episode_seed": 1092308719, "split": "train", "timestamp": "2025-10-28T03:46:24.966416", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1092308719, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 1, 3, 4])", "action": "('move', [0, 1, 3, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "6+78=84", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", "info": {"equation": "6+78=84", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "67254a9be39ed33c0a2fcf93f0af93a73a7a64422e356931144a448bfb67fa26"} +{"episode": 30642, "episode_seed": 936793162, "split": "train", "timestamp": "2025-10-28T03:46:25.046610", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 936793162, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 0, 5, 4])", "action": "('move', [3, 0, 5, 4])", "reward": 0.0, "image": 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", 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6+c4KxnAViCFOBmvyWrlVdZfXre3lywquPLrZvmS5t99b7H9XUPGPK1x3hMz/ALJ0jgvZcqS5r8rneOn8NJcq/wCnbk7fZPrz4VXni/UPhf4b1D4g27Q6/PoFnJrkTxhCl40CGZSo4UiQsMDgVv0UV+sxXLFI/lWrNVasppJXbdlsr9F5I/nx/wCC/vxJ/aA0D/gqtdatda7q2mjwtYaPcfDS5jzELaERRzefbkcE/bftGX67o9p4QAfop8M/il4P8ZxeGoPEv7VsvivXWtYJRoN/43s7sfb2t8SFIIsEuu6UADOATxXZ/wDBQH4JfCb4kfHfTPHnj3wDYarq/hTwpa3Hhy/vEZmsJWvpiXQZ2k5RCNwOCoIwa+w1tbVG3pbRgjoQgr8+/sKvmOZ4yEcRKC5ldbp8yvZ6rbb0P13izxAwGc8K5JgKWDUJ4Sk4Slp7zXKrxsr2fLzyv9uT9XzfwW8JHwP8LdG8MsZd0FsXYT43hpHaQg4AxguRj2rqKKK+9oUlQoxpr7KS+5WPyCcnObl3Plj9tjxPrOl/tTfCzRvEOuT2PhaXw/r1zZLI6x2lzrafZUjWRyRmRbOS+ZEJ5HmsAdhI+ev2p/iN8e3/AOCEfjrxT8OtV1a4E+talaafqkFsomm8JvrcsSygoOYWsiB5o+9Cd2cHdX1d/wAFDfhJ8Nfjf8NPCnw9+LXg6113RLrxxFJcadeFwjsmn3zIcoykEEA8Gjw94f0OD/gmveeE4NJgj0yP4W6hZx2Ece2JLcWk0YiCjooT5QB0FfJVcJOefYv32uaj919Pwtf5s/Rco4jyvK8HluIeGU6lCtCUk1HllGnOU9Hu3PnUZXVlyJ3le0Pg7/g1S1j4mS+A/i5oN9Fc/wDCGwavps+mSNABD/abxSrchXxkt5KWhZc8DYeN3P63186f8E7/AIQfDH4G+HfGXw9+EPgmy8P6LDr9vPHp1grbBJJZwl3JYlmJOOSTwAOgAr6Lr1eGoOGR0Fe+l/vbf4HF4l8RYbizjjGZrQpeyhUkrR0v7sYxu7ac0rc0rX1b1e58df8ABebxJ8WPDH/BMnx5d/CWW9ikuHs7XxBNp8eZE0qWdUuckcqjKQjkfwO2eCTX5lf8ESvG3xC1XwD8V/A2seJbubwzovg68uNE0+WcGKyuZwPtLxjqm8RQE/w5TPXdn97PFHhjw9418Nah4O8W6Pb6jpWrWUtnqVhdxh4rmCVCkkbqeqsrEEehr5O/aB+BXwh/Zx8Jad8KPgd4BsPDfh6y8BeJJbbS9OQhFeSW1d3JYlmYsepJPQdABXhcW5XVqJ45VLRjFJx7+8vw1v6pfL6PhvjvA4Pw7xHCssKnVrVlUVXTRJRb8+ZcnKracs5aq1peqfsheO9S8d6SNTsvHT+JdHOlxLFrH9oLdJNKmEyJU+RmO1t2O45Gc17XVfSUSPS7dY0CjyE4Ax2FWK+qyvBTy/BqjOo5u7d3vq793+Z+VYqvHEVnNR5V2QUUUV6Bzn87f7dvjr9qV/8AgulqGrWyarJ4y0j4oafa+BLU2gZhZJNH9gSKM/K0bxMrejeY7NyzV/RJXx18fPgn8JfEX7eGnfG3XfANhd+LND1jwraaPrsysZrSF7wblTnaM+Y/OM/McGvsWvmOHqDo4rGXk3+86+l/v1/A/U/EfjXB8W5bk9ChhlReFw6pyat7z0WlvsLlvFPVOUvVlc98VbfSrj4faoustthW2LKwUEq4+4QD33Yroa8T/bA+KjeGPCdxo+jWEt9d2kQnNlEObmdsLb24OCcvIyjpxkGvRzzFU8JldSUlfmXKl3ctEv66H5vgaUq2KilpZ3b7JHnf7KPiHwt40/a41231GFzdeF/DTWvh15IozFLM8sTak8bby2+MPYRH5F273GTuIH1hXydefA7W/wBnG9+H2qaFdLdaroN0l/qd07oP7RkuNy6su8xADzTNJKoAX51iyVAyPrCORJUWWNgysAVYHIIrz+F37DBywU1apSdmu99U/n+h05ouesq8XeM1p8t0LX4af8HSPiP4sT/tUeA/CetyXq+CoPBRuvD8TR4tnv3uZVvGU/xyBFtAc8qCvTdz+5deV/tR/Cj9j/4o2XheL9rnRPB93BY+I4n8J/8ACW3sUCnUmB2RwmR1813A/wBV8wfaMqcDHfnuXzzPLpUIz5W2nd7aPr/W9j7Hwr4uw/BHGdHNK2GdeMYzjyxSclzRavG/VbP+65Hwh8AfH3gH47/sueAvDP7TX7UbeJLzVtD0yXXfBmu+N7M213dKUeKCa0TaXAkWM+SeCygMp5FfT/8AwS80/TvDvh74n+DPAFlFb+A9I+JM0Xg+Czt0S0gZ7O2l1CG2KcNEl+9yOMhZDIgxt2r6P+3F4E8HfED9mbXvBXjTw5bajpWq32lW2o2M6kJPE+p2oZCVIOCPQg1R/YG8B+Dfhh8CZfh98PfDltpGiaT4l1CDTtNs1Ijgj83OBkknJJJJJJJJJJNfPZbllfL+I4wqV5VH7Nu77c1rbvTr6nNj+IMPjchxSjBw9tVuqat7KF2pc8dfj09mvdXuN+872Pa65H48eEfgv47+EGv+FP2ibLRbjwTd2JHiKPxDcLFZCBWD7pZHZQgVlVg2RtKggggV11fnH/wc2+JPixov7C2iaX4HlvY/D2qeNbeDxk9omUaBYpJIEmYcrGZ0Q+hdUB5wD9VmeKjg8vqVpR5lFPTv6+XfyPN4HyOrxJxdgstpVvYyq1IpT2cba3jt72nu6r3rao+8/g54O+D/AIP+FXh/wz8DtK0aHwfZ6VCnhxNEdJbQ2m3MbROpIkVgd2/J3Z3ZJOa6hVVQFVQAOgAr8W/+CNXx51iH9kVvD3xP/a/1Xwva6N4kuLTwvo7eNbSxWKx2RyHbHKC5Xz5JsE8dQOBX6tfs0+LNY8Z+HLvXrjXTqmnXLRy6dqInEqTh1JLRuPlZCNpBXjnivDyrifC5jiKeGhSlFteXKrK+nl0Wi6HXxrwtieGuIMbhKtdVXSqSXPd3lru7/a195XdnfV7npdeH/wDBSvxH8WPCP7BXxW8SfA571PE9n4Oun06XTY91xEuAJpIx1DrCZGBHIK5HIFe4VR8TFh4b1Ar1FjLj/vg19LXpurQlBO101ftdbnzOV4yOXZnQxcoKapzjJxe0uWSfK/J2s/I/nx/4IZfGDxN4M+JHjPwZqn7Q2o+CPCNxoiX1wkHiS30+KfUVmjjiOZgct5RmyF6hRu+6tfrx+ytYeFPH/jrS/FvhH4gHxRDpOo3N7e67Fq0V8bi5a1ktyJpo8qWCTL8owQFXsDnM/wCCYvwL+D3wSGv6L8Jvh3puhWup+FvD9/qEVlGx+0XL/bQ0jFySTgAYzgdgK+tY4o4htijVR6KMV8Fw/kNbE4bD4uWIlyxfModLxb21t+HU/RvFDjfB8WcW4rH4bDezjUUY625naCV5W0bfrsl2HUUUV+hH5UfzT/s+/Fz4/wClf8Fa/wDhNvih8RdV8MeLdQ8fX1p431e4u4rKe0hZ3S6jZ5RshVY1KAdFCqF6LX6PftEaN+yv8Ufhv4v+I/jL4vWXjvxFofhKX+yNev8AxLbarqGiujGS1NkqHEMrXflbdq7pZNkZ3AhD7p8PPgf8I9J/4KC3Xxv0/wCH+nxeLtY8aarZalr2xjPPbrpcoWM5JUDEafdAJ2jOaZ/wUR+Bvwg+JXxc0vxf49+HunarqfhTwc954du7uNibCc3RPmIAQpOUQjcDgqCMV+S1cprrLq9b28uWNVx5dbN8yXM9d9b7dNz+gOJvEjLeJOKsvxtHDPDKlQhF+ztzNxTk4LVLkv7iu9I6uL+A+qfhLeeMdR+FXhnUPiLbND4gn8P2UmuwtGEMd40CGZSo4UiQsMDgV0FFFfrMVyxSPwOtUVWrKaSV23ZbK/ReSPzy/bH+J8/hjx/+0tf/ABJ+IN3o15o3huyHhDz3ija20w6UGtZ7NH4lL6nJeJuwd0qLHzgLXQfBT482d9baHDcfti3mveINQ0mGO60SfxzZ3JkumiVpVSGIBi4YNgKeMGvrH4k/sw/s/wDxg+I/hb4vfE74T6RrXiXwVOZvC2sXsBabT5CyvuQg4OGVWXcDtYZGDzXcLa2qNvS2jBHQhBXxlbhbG1sXWqxxTgpybsr7Po9VtsvI+wx/EWU1sBh6dHD/ALyMYqbaiknGEYJRau2pcrnJtJ80rWduaVLwhNq1x4V06fXUK3j2cZuAwwd20ZyOx9fetGiivsaUHTpxg3eySu+vmfGylzSbta58r/tseKNZ0v8Aam+FmjeIdcnsfC0vh/XrmyWR1jtLnXE+yrGkjkjMi2cl8yJ3HmsAdhK/N/7PXx38DeKvhhqNp40/bQul0mTxRrlppui3njewtrebR1v547eMwgA+U0AAHILIQc85r9Bvjr+z58F/2mvAMnwu+PXw70/xPoEl1FctpupIxQTRklJFKkMrDJGQRwxHQkHpNG8NeHvDuj2nh/QdEtbOxsLaO2srS3gVI4IUUKkaqBhVVQAAOgFfKY/hvF4zMqmJhiXBSSVle+itbdadfmz6/wDt/Ko5BRwqw960XZtqPLZOck09W5S50pJpWUE05c1oeffsweFxpWgav4oDSf8AE81COZd2NhWOCOIMnHIO3rz7V6fQAAMAUV9Fl+DWAwVPDp35Va/c+UxFZ4ivKpa1wrxr9qrwK/ja603Thpbsb7TrvTFvIFJkRbjYHQdQPuKwyP4T2Br2Wis80wCzPBSw7lyp219Gn+hWFxDwtdVEr2v+Qy2hFvbx26kkIgUE+wxT6KK9A5wooooA8W+I3w+PiP8AaD06UaZJEJLzTb2S6gU/vRZyrMpYnIwGXacY4YdyDXtNFFefgcAsFUrTUr+0k5el0tDor4h14wVrcqsFcxe/C7Sb34iQ/EKS7fzIkG622Da0gXar568Dt6gfQ9PRXRiMLh8UoqrG/K1JeTWzM6dWpSbcHa6t8mc18Rvhpp3xGgtIr2/kt2tJiweNAxZGxuXnpnA57ehrooIYraBLeFdqRoFRR2AGBT6KcMLh6VedaMbSna7722CVWpKmoN6Lb5hX4bf8HRnij4uj9qzwD4Z1O6v4vBtr4M+2eHFClYG1FrmVbt1YfekVEtAe6grjG7n9ya4T44/sx/AH9pa30W0+PPwp0jxTH4d1RdR0VNVgLi1uQMb1wRkEYypyrYGQcCuDO8uqZpl8sPCXK20/LR9f63PvvC/jLB8B8YUs3xVD2sIxnFpW5lzRavG+l+j/ALrZ8G/ss/HWy+IvwB+H978cP2xLvV/Eeo6Np9xq/h/V/HNmVmvvkdEe3XD7xII2CZzuAzzkV95/s7eEm8J/DkLIJg+o6jc37pMMFTK+cAYHGACM+tdt9ktQ24W0ec9dgqSuHKshrZfjHiKuIdR8vLqtldPdt9j5jN83p5nVqTp0Y0lOblyx2V29ErLRXsvJBXP/ABU+Ffw7+N3w+1T4VfFnwjZ694d1q3EOqaTfoWiuEDBgDggghlVgQQQVBBBFdBRX0coxnFxkrpnkUa1XD1Y1aUnGUWmmnZprVNNapp6prYwfh18L/h78JfA2lfDT4beELHR9B0SyS00rTLOECO3hUcKM5J9SSSSSSSSSa3VVVAVVAA6ACloojGMUklZIVWrUr1JVKknKUm223dtvVtt7t9WFeOf8FBtc8e+G/wBi74ia38NbzUbbVYPDzk3ejw+Zd21qXQXU0I/56JbGZ1IyQVBHIFex0kkccsbRSoGVgQysMgg9jWdem61CVNO101ftdbnVl2KhgMwo4mUFNU5xk4vaSi07PfR2s9GfmvrXxv8ABnh39qDSfCPhH9qN/Cvh2T4Wi5v10jxVZ2tvKRdxf2Y3mybi5aCW8ZVBwU2v0IJ+qP2TPiPdeONUhTw38VpfGOk21vLDd6o2sR3w3g7gHli+TzAXAxwdpHoK9E+BH7L37Pn7Mfh6/wDCnwC+Euj+FtO1PUn1C/tdLt9qzXDKqlzuJP3VUBR8qgcAV3ccUcQ2xRqo9FGK+Sy3hfGYOdKU8U7Qd+VX5fTfr107nuZ3nOV4qq4YKj7iioqUklOXVyko3V7uySk7JJXdh1FFFfZHyx+VVx8b9W0D4Q/C/WPFHx0v/Dnj3Vfi1JD4zu5dStrS9gvDPdjWYJvNyLeOGN3UYA2KLcD767vefAE3gT41a1deFtA+PU3jnUtQtktbiZvFFvqNzZ2xfB2iIYjTLEksMZ719P8Ah79l39nvwp8cNa/aT8O/CTRrTx14isltNa8TRW/+k3cIEY2sc4GfJiyQAW2LknFd1HbwRHdFCin1VQK+Fp8H4qzjUxT5XK9knZ63u9d36PXufb55xLleNrqpgsPy35m21FNSm23GPLf3IfDHZtXdo35U+iiivuj4gKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACvH/2zf26v2cv2CPh9p/xJ/aO8UX1jY6tqhsNMtdI0a41C7uZVhknlZILdGkKRQQyzSPjaiRsxIr2Cvgf/AILceHPiXoHiL4N/tH+D/gt4r8e6R4PXxro2uaH4L0STUr5Jtb8M3en2U32ePLGL7SUid+kaz7jwDQB90+FfFHh7xx4X03xr4R1iDUdJ1iwhvdL1C1fdFc28qCSOVD3VkZWB9DV+vIv+Cf8A8JvGfwG/YW+DnwT+IsezX/Cfww0LSdbi3hvKu7ewhiljyOCFdWXPfbXrtABXM/Gb4veBvgF8Ktf+M/xLv7i20Hw3psl9qc1pYy3MoiQZIjiiVnkcnAVVBJJAFdNXIfH74gaV8K/gn4p+Iet6JrWpWuk6JcTz2HhzRptRvpwEI2wW0CtJM5zwigk0ARfs7fHz4c/tSfA7wv8AtD/CK+urnwz4v0iLUtEnvbN7eV4JPul43+ZDx0PNdpXyL/wQp17Ur3/glr8KPBviD4feLfDGseD/AA/HoOuaT4y8L3Wk3SXcCqzlIrlEaSL94NsoG1iGAOQcfXVABSSSJFG0sjAKoJYnsKWkkcRxtIwJCgkgDJNAHiX7JX/BQr9mP9tfxH4t8HfAzxFrD6t4Kltv7b0vxB4bvNLuPs9yHNteRR3UaNNbTCOQxzKCrbTjtn26vgL/AIJD/FnUP2nv2oPj3+1h8V/hB8RvB3jnxVeWOl6ZoPjH4e6hpFppHhXTpbmHTbeK5uYkju7mZpLi7n8skIbhEHCZP37QAUUUUAeI3X/BQr9mjT/2x7L9hbUtZ1218d6nFMdLa68L3kel308Nqt5LaQ37Ri3luEt2WVolcsqnnB4r26vz2+M+neKfib/wXR+Dvin4XfB/4uR3vgG31qy+IeteJdKuP+EMj0KbSHMF3pssha3F7Jdywwl4NsxWORJBtUV+hNABRRRQB5Z+1h+2X8Av2KvCfh3xl+0B4ql0y08V+MbDwvoKW1m9xLd6leOVhiVEBOPlZmboqqSa9Tr8vv8Ag4P+CX7bHxJ8TeAviB8C/wBl5fib4U8Jy6M1nDaeJha3Wla5J4n0uV7j7KsEslwrW1oluZhtW2iubmVtyqy1+nenTXtxp8E+o2a29w8KtPbrLvETkAsobA3YORnAzigCaiiigDzT9rD9q74V/safCgfGL4vW2vXGmya1ZaTa2XhjQJ9Uv7u8u5hDBDDbW6tJK7uwUBQTzXU/CT4l6P8AGT4aaJ8U/D+ia3ptlrunpd21h4k0abTr+BGHCT206rJA47o4BFeFf8FYfCHwh8ZfsofZPjj4O+LuseH7HxXpmoyH4H2txL4hsbi3lMtvdQi2/fqqTLHl4fnUlTwoYjU/4JTL+0mn/BO/4Tr+142sn4hf8Iwv9vHxI2dS2+dJ9m+1nr9p+zeR5uefM355zQB9B0UUUAVtZ1jSvD2kXfiDXdQhtLGxtpLi8u7iQLHDEilndmPAUKCSewFeXfsg/tsfAf8Abk8CX3xJ/Z/v9budIsr8W63Ot+GrvTftaNGskV1bi5jQz20qMGjmTKOM4PBFXf21vhr4v+M/7G/xZ+D/AMPiP7e8VfDTXdI0TL7Qbu50+eGEZPT53Xmvj/8A4N6PDX7Q/hH4LeN/D3xN034s2PguxuPD1p4K074yrOuqWt9FodrHrccC3H7xLBdQV1gUfugqt5fyYoA/Q2iiigAr58+Ef/BS79nn4yftZap+xZonhr4g6R440yx1G+8rxT8PtQ0yzvbWyuUtp7i2ubiNY7iLzJECyRkq4YEE5FfQdfKH7Ofgfxn8Rv8Agqh8fP2m/GnhPVLDSfCfhfw/8N/h/dalp8sCXsCo+rapc25kUCWJrm7t4fMTKlrMjOVNAH1fRRRQAV4F8av+CmH7JH7P37UPhn9kH4l+M9TtvGPih9PS1W18P3VxY2T388lvYJd3caGK1a5mikjiEjAuykCvfa/KD/gpH8G/jj4q/wCCzXw/8b+HfgT461eaPUPh23gHWdA0KSbwzLa2mtX82vvrsqjyvNtrWWOW0M53Ru+6H5iaAP1fooooA//Z", 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", "info": {"equation": "20+1*8=28", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "20+1*8=28", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "e05d6dd0375bc397f7950fc11de98dcdcdcb6cbe551d72b8ac3d84b4f693f182"} +{"episode": 30643, "episode_seed": 2771889073, "split": "train", "timestamp": "2025-10-28T03:46:25.144725", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2771889073, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 10, 4])", "action": "('move', [7, 6, 10, 4])", "reward": 0.0, "image": 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", 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nAznArHOaTniMJJSatVX5N/pb5s6+C+KMNw/lmb4arQVR4rDSpRenuNyjrr0+1przRj6r6Sr8Tv8Agv8AeP8A4z+GP+CqXwhu9L8RX+lWOi6Npd14Qv42SOO2uX1GQXM0bv8AIHBSHcW4ARM8Yr9sa5Lxt8B/g78SPiF4W+K3jr4eabqniLwTLcS+FdWu4d0umvOgSUx84+ZVXqDggEYIzXTnOX1MzwXsIT5XdO/o/wCmvNIjw74twnBfEEswxOH9tF0qsOXTecGk9el9Jf3XKyez+GtQj+Dvin4u+DPiz4M+KcPjr4gWHxA8PWGja9Lr9tq2oWtq96yz2sZT/VQtZzai7gAZUSOSfLBX9Eq+avjb8KPhtq37d/gT4ral4MsZvEeh6dY22kaw8Z820iml1ESqnOBuHBOM4JwRk19K15/DmEqYN4mnOo5tTtd9fdi77vv+B4+eZjTxuDwkI3fJB3v0vJ2hHV+5FK6296UvdW7/ACb/AODqLxL8S9I+Hnwd03Qry9g8NyeINSutQktwVjGowxQfZCzDo4je6Kj/AHj2r2r9gb4leNdS0b4eS674/nm8UeIvh7ol9qlhJfx+ZqUxlna4uWjXl8NIdzr8o8znqK+zvjB8C/hD8f8AQLHwt8Z/h/p3iPTtN1i31WxtNSi3pDeQEmKYDI+ZdzD0IYgggkV5v+yIFbxf4wkZRu8u35x/0+6lXm5pk1etn9Oqqziqj0te65Y69Vvb8WfU4rjLB4zgDA5JHDJTwkqrlPT3/azTXnptK/8ALG3l7pRRRX25+Zn5s/8ABz9rXxB079h3wxpfhp7pdC1Dx/bx+JTAmUZFtp5IEkPZfNUMB0LIvcCvrP8A4Jlal451f/gn18HdQ+JEc66vJ4A04TfaYRHIYhCBCzAdzCIz6nOTyauft5fDbwJ8XvgN/wAK7+Jnhi21nQ9R8Qaet9pt2W8uYJMJFB2kHhlU8HtXefAe2t7P4HeDLS0gSKKLwppyRRxrhUUW0YAA7ACvBoUnHiOtPmetOOnza/T8WffY/ijDYrw4wWRRoJVKNerUdTTVSjGy731tLyhDfp5t/wAFN9a+Ifh3/gn38X9a+Fb3Sa5b+Bb5raSyTdNHGY8TOncFYTI2RyMZHIFflR/wRr8ZeFte/ZD8TfCf40fH+TSPDc/iia2t/B9z4st7G11G1mgiM8bxMRJLHIzFWwQGBK+tfuLqFpY39hPY6pbxS200LR3MU6go8ZBDKwPBBGQQe1eH3nwp/Zi0D9hHX/hx+zx4e8NSfDq48K6pBYW3h25S5sZ4pvO+0BZUZt+52lDEMTnIyMccufZPWx9dVoVnDlhJWW7691o+vyOzh/jHDZZwRicllhm51cRSqKqre5yp9d+ZW9zVaOeqtrU/4Jx21ppXwi8T+GfDMCxeF9I+ImqWnhKCCFUt4LQCJporfbwYkvXvUAHC7CgwFAH0DXk37E3gbwh8M/2e9O+H/gDw9b6ToukapqVvpum2ikR28QvZiFGST1JOSSSSSSSa9Zr1smi45Th1e/uR/JHxmfYqGNzmvWhezk993bTmlv70t5av3m9WfP8A+3z4jg8GeAX8Tackr6sNPmgsordEaSSSRljhChnQFvNkGAWAPPIr2T4ZWHhfSvhv4f03wQUOjQaLax6S0QG02wiURkY4wUweK8P+Jmmv8dv2gLfQ7RZHsfDenXWqbuArTwL5Nuh+U5DTTySDkH9wD7V6F+ycb6y+DNl4Wv2Df2JdT2NowdTm0WQtbjCqu3bC0ceMdYzyep8TKMRCeeYiaSSq/C+/s/df46hjKco4GnG+sN125tV/kelUUUV9aeQfjN/wQ78V/H3Wv+CxHx2l8fpqDTX1nrL+NvtdsB5V3HqkawK//PMrmVVUcbQQBgcfszXzV+zR8Lvh54Q/bE+I/wAQPDPhGzstb8Tvfv4g1OFT5t8Yb2NIt5JI+VSQAMDk96+la8Hh2k6OAlFyb9+e/lJr9Ln33iRxPhuLuIo46hQVGKo0YcqtvGmk3p0vpH+6o7bL8P8A/grP8RPjF4a/4Lx+Cb+48ZahoFlpS+H4PDOqrcR2y2mlzgreyxySfIoLy3qtIemCP4RX134MtfhNq37THw6+Lfw0+IEHjPx3dePINPuPEv8AbNvql++nGxuhc2ryIf3dult5ku1QAHw/3myfcfj38K/hz4h/bl8BfFPXPB1ld+IdBsrG30bVp0JltIp575ZVTnA3DgkjOCcEZNGsfCn4bt/wUb0r4wt4Nsj4og05NLh1rYfOSzOn30hhHO0AvznGe2ccV8xWy6q80nX9s+VYiK5el3yu+/S9ttj6XMuOcDmOW5fQhQdN4fBSoycbfvH7ytLVfu3pKV7vmcvd2kfSlef/AB2+Hn7Nvj2+8GzftDaT4bubjSvF9rd+Bz4huY4mXWlDGAWwdl8yY4YiMbt23O07ePQK/HP/AIOhvHHxi8K/Fn4JP4Z1bUbDSNPhvdT0a6tfkVNZinhxIHH/AC1jTyiufu7yR9419jnONhl+XzryhzpW09WkfLeG/DFfi/i+hldHE/V5TU3zq91ywlKys09bWeuzZ+xMdvBEd0UKKT1KqBT6+RP2TPi8/ivxPpGj6H+0ldeNdRmitZ9W0+bxVbag1sAmJW2QD5Fy7Ak8ZC+lfXdTlGb0c4pSqU4uKi7a+l+h8ljcFPA1FCUk35BX5T/8HU2tfEC0+BPwq0PSpLpfDF54pv5Nb8tP3LXkdvH9kDt67HvCq98Mf4RX6sV4B/wUZ+Fnw7+MHwW0rwf8UPCFnrmljxL9qFjfKTH50VhevG5AIztYZweD3BFZ8RQ9pkldXt7t/uaf42sfU+HHEOH4V42wWa16XtIUpO8dLu8ZRur6XjfmXmkd9+yXqPjjV/2WPhtqvxNjmTxHc+A9Il15LmERyC8aziMwZRwrby2R2NeM/wDBa7WviFoH/BMD4s3/AMNJLpL99EggvHs03OLCW7hjvPov2Zptx7KWNfSngklvBmkMep0u3z/37Wk8c6P4Q8Q+CtY0H4g2tnPoF7pdxBrcOosBbyWjxssyylsAIULbieMZrurYeVbASoKVm4tX9Va55OVZxSwHFVDNZUVKMK0avs1s0pqXIvLoj8bP+CSninwb49/YcsPhH8dPjtnSB4qubXTfh/qfii2hs72186KdI3tDh5ke6aUlScOflIK8H9NP+CdTCP8AZhs9M0x2bQtO8R61ZeEzgbF0mHUbiO1SIjhoUjUJGe8aJjIwah+Kvwi/ZzuP2FpvhN8MfC2gXXw4udJs7PTbDSJhLYz2El1FkRyRsd6MGJ3hiTuJzk5rsf2RPDegeDf2dPDPhHwrpMNhpmlwT2mn2NsuI7eCO4lRI1HoFAH4V8xkuV1sszdQqVnP918kuZaLV6K2m2+x9TxnxVh+Injq9OlKkq2JdRQdrR0lduz/AIkrpS06bu+mx+0NqXjfR/gD451f4ZpM3iS18H6nN4fW2iDyG+W1kaAIp+83mBMDua/Dz/giJ8TDb+Cfij4O+Jf7Rt/4S0C+vbSf7H/wlsGmjULmeOaO6ZmkxI7GOOEEqRjjkE5r986868PfAH4MfAX4UeJ/C3wd+G+l+H9O1JtQ1S+tNPt9qTXk8ZMsxBzy21R6AKAAAAK9HOsmr5nXp1KdZ0+RS2vfW22q+Zhw3xng8k4PzLJqmG554qdGUZ6e77OTk/O/8ttryPIv+Ca3h3wh4KuPib4K+EmkWVj4JsfEdg+lWmkwRrZw3smmwG6SFk4b5RbOw7PI3cmvqKvAv+Cc/wALvh58HPgbfeA/hd4StNE0e38QebDYWYbYryWNm7tliSSWYkkk9fTFe+108PR5ckoK9/dX46/gfNcS4yGOzutWg21dK8vilyxUeaWr96VuaWr1b1e7K8x8L+Dyv7SOteKDYvB5Vi5LIDsmMy267iT3xABx/dNenUV24rCLFTpScrckub10at+J5FKs6UZq3xK34p/oFFFFdhieY+PfBx139oDw3qhsnUW8CTG6jH3xCZmCsTxgGX2Pz/SvTqKK48Lg1hZ1ZKV+eXN6aJW/A2q1nVjBWtyq34t/qFeY/s/eEDoPiPxZq5sXthcXqWwgAIRfLkuJCVzycmc9/SvTqKK+EVbF0q/Nb2fNp35lb8AhW5KU6dvit+DuFFFFdhicP+0Lpjan8OJFXT/tBgvYJlG0koVbhgB3BP6mui8A6EPC/gTRfDQZyNO0i2tcyY3Hy4lTnHfitaiuOGDUMfPE83xRUbdrNv8AG5s616CpW2bf32/yPC/+Cm+t/EPw7/wT7+L+tfCt7pNct/At81tLZJumjjMeJnTuCsJkbI5GMjkCvy4/4IofFuCL9lzV/A3xN/aWutB0iz8VyQaN4XufFltZ21xbyxRyTJ5Mnzujyu2cEAlmA5zX7bX1lZ6lZTadqNrHPb3ETRzwSoGSRGGGVgeCCCQRXM/B74HfCT9n/wCHlh8KPg14B0/w/wCHdLMpsNKsYiI4jJI0rkbiSSzuzEkk5NePnGR4jNMXCrTrumlFp2vfV+q0fXXoj7vKOM8FlnAeLyGeGU6latTqqbtooxaa6u6duXylPVdYPgJ4ffw78MrO3kEga5uLi7YSjBBmmeT06fNx7V2VFFe5haCwuFhRTvypK/orHwVap7WrKfdt/eYPgzwBp3gubU5bO4aUaleGZlZQPLXnCD1xk8+9L4B8CWHgHS59Msbl5hPdvMXdQCAcALx6AAZ78/St2iopYDB0XBwglyX5fLm1f3lSxFafNzPe1/O2wUUUV1mJ5h8MPBv2H43+KfE32F7cL5sSqoIRzNKspfnkk7AeDj5j7V6fRRXHgcGsFQdNSvrJ3/xSb/C5tXrOvPmtbRL7lY+Af23/AIqal4M+M/j+bWviteeGtRtvFngu08MXP22G2eDTZTbl3gaXjY0j6sHkI48p+f3fHrP7J9x4T+IXxLt/Enhj4uyeNH0q4lnvtWbXodRdGNtJCkUkkXCqFlYqvBzzzXu/iD4DfB3xV8W9D+PHiP4d6beeMPDdhcWWheIJ4c3FnbzAiWNDnGGBYcg43NjG456yOGKEERRKueu1cV4EeG67zN4qWIfL7Tn5dbPZq+tr9NnokfR5jnmAxGAo0aFG0lBRlJ2WvLGGlt42jza2fNOWml26uS+KfwH+D3xtufDt58WPh7p2vS+E9eh1rw4+oRbjYX8WfLnTBHIz0OQSASDgY62ivqZwhOPLJXXmfOUMRXwtVVaM3GS2abTV1Z6rXVaegyO3giO6KFFJ6lVAp9FFUYhXnX7TXh5/EngGCwjsGmP9oqFZFJeJniki3LjuRIV5/vV6LRXJj8Isdg54dytzK1zbD1vYV41LXsytounrpGjWmkoxItbWOIFjyQqgc4+lfMP/AAWt1v4haB/wTB+LN/8ADSS6S/bRIILx7NNzrYS3cMd59F+zNNuPZSxr6nqh4p8MeHvG/hnUfBni3SINQ0rVrGWz1KwuU3R3NvKhSSNx3VlYgj0NXiqDxGEnRTs5Rav2urXPR4fzOnk2fYXMKkOeNGpCo4v7ShJScfnax+PP/BHL4tQah+x5o/g74n/tK3VpHYeKbm10Dwde+LLaGCS1EkckaC2b946m4eUgZ5PA4AFfrd8GfDreFfhlpOjOJAywtK4mGGBlkaUg8DGC+Kn+Gfwp+HPwb8CaV8Mfhf4OstF0HRLUW+laZZxYjt4wScDOSeSSSSSSSSSTXQV4eS5FWyur7WrWdR8qjZ7Jb2V29O2iPX4z4lw/E+f4rHUKPsoVas6iWl/ebte2l+r31CqmvWxvdCvbMW6zebaSJ5TdHypG049elW6K+jkuaLR8knZ3PO/2Z/DH/CN+AbhzDJF9v1R5xFIuNgWKKAADGcYhHXvmvRKKK5cDhVgcHTw6d+VJX72Na9V160qlrXdwooorrMQooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAryr4T/to/s9fGz9oLx9+zD8O/GM154v8AhqbceJ7OTTpool80c+RM6iO58tv3cvllvLchWwTivVa+AP2AvhP8XfDX/BT74v3niz4UeIdI0jwz/wAJYB4k1LTWisNb/wCEg8RQ6vZfY5j8tz5dtEyy7c+U5CHBNAH3/RRRQB52n7Unwgk/aoP7GseqXzeOV8EN4se0GlzfZV00XSWuftJXyjJ5jr+6DFgpDEAEZ9Er5R+IPxIjsf8Agsr8NvBx+HXjaaJ/gh4isZPEtr4NvJdEt7m5v9PuoYZtQVDbxOYtMuvlZgQxhXrKmfq6gAryz46/tlfAj9m/4neAPhJ8WNb1Gy1X4laz/Zfhua30S5ntFuWeOONbm4jQxWvmSyxxRmVl3u4Vc849Tr4+/wCClvxJvJP2gf2cP2dNY+G/je/8JeI/ifbeIPFPiDwr4LvdVgtZNKnt5NNs7mS3jZbOOXUJraZ5pSqrDZTZPOQAfYNFFFAHmX7Wv7XPwa/Yn+EUvxv+O93rEHh+C9S3uJtE0C51GWHKu7SvHbo7JDHHHJJJKQFREYkivSLC+s9UsYdT0+4Wa3uIllglQ5V0YZVh7EEGvlH/AILZ258Qf8E8/Gvw3tPh/wDEzxFqfiy1bSvDtp8LbCa4u11VopJLH7WsJz9ge4iiin3gxFJSsg2MSPqDwVFrcHg3SYPE0EMWpJpkC6hHbKBGk4jXzAgHAUNnGOMUAadZvjLxd4e8AeENV8eeLdSSz0rRNNnv9Tu5PuwW8MbSSSH2VFY/hWlXi3/BRDwJ8Y/if+xt42+HvwG8EW3ibxHrFra2yeHLzXU0yPVbNryD7bam7dHWDzLT7Qm8q2N3Q9KAO8+Anxt8A/tJ/BTwp+0D8K76e58NeM9AtdZ0K4urVoJJLS4jWSJmjb5kJVhlTyK62vnX/gkjpXxH0H/gmj8E9A+Lfw4n8I+INP8AAFla3/h26djLZiJSkYcMiMjtGqO0ZUGMuUOSuT9FUAVdc1ix8PaLea/qkhS2sbWS4uHVclY0Usxx34BrgP2Uf2pfh1+2P8HLL45/CrQfFVhoeozMlivi/wALXWkXM6BVZZkhuUV2hdXVklAKuDkE12fj22gvfAutWdzp13eRy6TcpJaaeqmedTEwKRhuC7Dhc8ZIzXyt/wAEU9B8W+F/2U9d8N3GmfE+x8E6f8RNQtvhLY/GKO4TxBbeG44LVI4rhLn96iLdLeiJXxiIRhfl20AfX9FFFAHm3wU/ay+C/wC0H8Q/Hnwz+Furaje3/wAONaGleI7mbRriC0a6y6yJbXEiCO68uSKWKQxM3lyRsjYNek1+ff8AwRu+FP7RHwb/AGlP2jfBfxEtPiDb+F08ZXl3AnjDzv7Ll1W68Qa7dmbRfM+X7K+mz6U8hi+UzM2fn31+glABXjmm/tx/BrUf2x7r9hl9D8Y2njW30WXVbe61DwbeQaRf20UdtJK1rfugguTH9rgVxGzbXYqcMCK9jr570Pwr4n8af8FRvEHxG1PQNQh0LwF8FbDRNDv7qzdLe5vtW1Oe6vhBIw2yFItM04PtJ2+YoOMigD6EooooA8g+Ln7c/wCzn8D/ANpHwJ+yj8Q/E99beMfiIrHw9b2+jXE1snzMkX2m4RDHbedIjxxeYw8x0ZV5Fev1+en/AAUA+F/xU8Tf8Fhv2cPHHhv4TeLdVstMjtP7M1vR9KeXRbcLeXTav/a8qjy1MVm1vJZ+aflneQxfOTX6F0AFeVftTftpfs9fsZ2XhbUPj/4vn0qLxj4mh0PRTbabNdEzuCzSyiJWMNvGo3STvhIwQWIyK9Vr4F/4L9fs9ePvj58EPA+j/B1vGq+MbzxLceHdJHhTwgNWtri31W3Ntcwag5df7OtmRQ5vjkReTjGZFoA++qKRQVUKSTgdT3paAPPPi9+1F8Ivgf8AE/4d/B7x/qd9DrvxS1u50rwjBa6ZLNHLcQW7XEnmyIpSBQi8FyNxIAzzjP8A2Uf2zP2fv21fCet+Nf2evF02raf4f8RTaLqMlzp01qwuI0SRZEWVVLwyRSRyxSqCkiOrKSK8f/4Kd+PD4Z+If7N2hQ+AfG2sNc/G+K7ub3wn4OvNUh0y3XS7+yM91Jboy2yCbULf5pCoKiRukbY89/4IPfC74s+A/hf40vfil8KfEHg+S0i8LeE007xHprWst1daD4estMvbuFW/1lu9zFIsUw+WVYgykgigD71rzv8Aae/ak+EP7IPwzj+LXxs1S+tNHm1ux0mJ9O0ua7la6u5lhiXZEpIXc2Wc4VVBJPFeiV8t/wDBZbxPdeHP+CfXi+303wH4r8SXmp6hpNtaaX4N8M3WrXjsNRt52byLZGcIEhcl8YHAJ5FAHsHwj/ak+EHxw+KvxE+DXw91S+uNb+F2q2mneLUudLmgiiuLiEzRiKSRQs67QwLJlQykZyK9Er5D/Y0+Ltt4/wD+Cjf7Q/2X4Y+PtJtNU0Lwlc6Zq/iXwNfadY3gt7OVJkiuJ41jkkVrmMFFJbh+PlOPrygD/9k=", 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", "info": {"equation": "14+15*10=164", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed 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+15*10=164", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "5c33f480acc79a52e4aa9b064f6488aa3c45287cbffcfad0ee9a01236d46b398"} +{"episode": 30644, "episode_seed": 3533130645, "split": "train", "timestamp": "2025-10-28T03:46:25.212985", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3533130645, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 7, 4])", "action": "('move', [1, 0, 7, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "112/14=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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"info": {"equation": "112/14=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "1452e62666b35c1474793d0f7423675f1d4f9ecce8bea823a8164bb623320334"} +{"episode": 30645, "episode_seed": 3517535604, "split": "train", "timestamp": "2025-10-28T03:46:25.272631", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3517535604, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 6, 4])", "action": "('move', [3, 0, 6, 4])", "reward": 0.0, "image": 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", "info": {"equation": "16/1=16", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", "info": {"equation": "16/1=16", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "2f31b6fb881c5e16b1908a4da77eab0241273744e70d3227e862bf337f329dda"} +{"episode": 30646, "episode_seed": 3883152971, "split": "train", "timestamp": "2025-10-28T03:46:25.332748", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3883152971, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [5, 1, 1, 8])", "action": "('move', [5, 1, 1, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "3*17=51", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "3*17=51", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "ef1aca40f0219c3aba088f31faf30ebdbdb1225c3595cd962a8786f8ee40a022"} +{"episode": 30647, "episode_seed": 606826879, "split": "train", "timestamp": "2025-10-28T03:46:25.401818", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 606826879, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 2, 7])", "action": "('move', [1, 5, 2, 7])", "reward": 0.0, "image": 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", 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", "info": {"equation": "43+49=92", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed 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+49=92", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "c8939f4cabb7e809b71ee205a22e27c945720bca3caf3aa205f79281e1aa97b1"} +{"episode": 30648, "episode_seed": 781527059, "split": "train", "timestamp": "2025-10-28T03:46:25.478056", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 781527059, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 0, 7, 0])", "action": "('move', [0, 0, 7, 0])", "reward": 0.0, "image": 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", 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", 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hZ8KvDOjSXqeCb/WtQl1/yY/3Emoxxw/Y0kYd/Le7ZVPB2seqjH6yV4L/AMFC/hZ8O/jR8KPD3w7+KnhK11zQ77xpbm7028LCOUpa3bqSUIPDKDwe1eLxFTdXJK6Tt7t/u1t87WPuPDfiLDcJ8b4LNa9L2sKcneOl/ei43V9OaN+aN7aparc84/4IPav8S9Y/4Jg/DuT4mQ3CvbpeW+htcwCNn0xLmRbYgDGV2DCseqhTyME/YNeZ/sc6NpXh39mnwp4e0HTobOxsLKW2srS3QLHBDHPIqIoHRVUAAegr0yuzLI8mXUY3vaMfyR4fE2ZU854jxmPhTVONWrOaitoqUm7fK5+Rv/B1R4j+LFr4O+E/hbTpb1PBF5f6jPqoij/0eXU41iFsJGH8Qie4KqeuXIzjiT/gnD8d4/FX7EPhDT/j3+2Nf21wLK40+Tw7qXjqzt4zpkcrwwQPC3z+WYFVcEhivfkGvvD/AIKG/CT4bfG/4aeFfh58WfB9rruiXXjeKS4068LhHZNPvmQ5RlPDAHg12n7I2h6LpH7NPgzSdL0m2t7W00SOC1t4YQqRRoSqIoHQBQAB6CvksblOIx/EVaNOvKneEXpfba2600v8z9BxXHmAq+FmA4f+pr2lCtOTqaap8zVtG+Z89pX6Qjv9mL9mDwuNK0DV/FAaT/ieahHMu7GwrHBHEGTjkHb159q9PoAAGAKK+vy/BrAYKnh078qtfuflGIrPEV5VLWufHX/BebxJ8WPDH/BMnx5d/CWW9ikuHs7XxBNp8eZE0qWdUuckcqjKQjkfwO2eCTX5lf8ABErxt8QtV8A/FfwNrHiW7m8M6L4OvLjRNPlnBisrmcD7S8Y6pvEUBP8ADlM9d2f3s8UeGPD3jXw1qHg7xbo9vqOlatZS2epWF3GHiuYJUKSRup6qysQR6Gvk79oH4FfCH9nHwlp3wo+B3gGw8N+HrLwF4klttL05CEV5JbV3cliWZix6kk9B0AFfI8W5XVqJ45VLRjFJx7+8vw1v6pfL9X4b47wOD8O8RwrLCp1a1ZVFV00SUW/PmXJyq2nLOWqtaXqn7IXjvUvHekjU7Lx0/iXRzpcSxax/aC3STSphMiVPkZjtbdjuORnNe11X0lEj0u3WNAo8hOAMdhVivqsrwU8vwaozqObu3d76u/d/mflWKrxxFZzUeVdkFFFFegc5/O3+3b46/alf/gulqGrWyarJ4y0j4oafa+BLU2gZhZJNH9gSKM/K0bxMrejeY7NyzV/RJXx18fPgn8JfEX7eGnfG3XfANhd+LND1jwraaPrsysZrSF7wblTnaM+Y/OM/McGvsWvmOHqDo4rGXk3+86+l/v1/A/U/EfjXB8W5bk9ChhlReFw6pyat7z0WlvsLlvFPVOUvVlc98VbfSrj4faoustthW2LKwUEq4+4QD33Yroa8T/bA+KjeGPCdxo+jWEt9d2kQnNlEObmdsLb24OCcvIyjpxkGvRzzFU8JldSUlfmXKl3ctEv66H5vgaUq2KilpZ3b7JHnf7KPiHwt40/a41231GFzdeF/DTWvh15IozFLM8sTak8bby2+MPYRH5F273GTuIH1hXydefA7W/2cb34fapoV0t1qug3SX+p3Tug/tGS43Lqy7zEAPNM0kqgBfnWLJUDI+sI5ElRZY2DKwBVgcgivP4XfsMHLBTVqlJ2a731T+f6HTmi56yrxd4zWny3Qtfhp/wAHSPiP4sT/ALVHgPwnrcl6vgqDwUbrw/E0eLZ797mVbxlP8cgRbQHPKgr03c/uXXlf7Ufwo/Y/+KNl4Xi/a50TwfdwWPiOJ/Cf/CW3sUCnUmB2RwmR1813A/1XzB9oypwMd+e5fPM8ulQjPlbad3to+v8AW9j7Hwr4uw/BHGdHNK2GdeMYzjyxSclzRavG/VbP+65Hwh8AfH3gH47/ALLngLwz+01+1G3iS81bQ9Ml13wZrvjezNtd3SlHigmtE2lwJFjPkngsoDKeRX0//wAEvNP07w74e+J/gzwBZRW/gPSPiTNF4Pgs7dEtIGeztpdQhtinDRJfvcjjIWQyIMbdq+j/ALcXgTwd8QP2Zte8FeNPDltqOlarfaVbajYzqQk8T6nahkJUg4I9CDVH9gbwH4N+GHwJl+H3w98OW2kaJpPiXUINO02zUiOCPzc4GSSckkkkkkkkkk189luWV8v4jjCpXlUfs27vtzWtu9Ovqc2P4gw+NyHFKMHD21W6pq3soXalzx1+PT2a91e437zvY9rrkfjx4R+C/jv4Qa/4U/aJstFuPBN3YkeIo/ENwsVkIFYPulkdlCBWVWDZG0qCCCBXXV+cf/Bzb4k+LGi/sLaJpfgeW9j8Pap41t4PGT2iZRoFikkgSZhysZnRD6F1QHnAP1WZ4qODy+pWlHmUU9O/r5d/I83gfI6vEnF2Cy2lW9jKrUilPZxtreO3vae7qvetqj7z+Dng74P+D/hV4f8ADPwO0rRofB9npUKeHE0R0ltDabcxtE6kiRWB3b8ndndkk5rqFVVAVVAA6ACvxb/4I1fHnWIf2RW8PfE/9r/VfC9ro3iS4tPC+jt41tLFYrHZHIdscoLlfPkmwTx1A4Ffq1+zT4s1jxn4cu9euNdOqadctHLp2oicSpOHUktG4+VkI2kFeOeK8PKuJ8LmOIp4aFKUW15cqsr6eXRaLodfGvC2J4a4gxuEq11VdKpJc93eWu7v9rX3ld2d9Xuel0UUV9UfFBX87f7HHjr9qXU/+C8WkeI9fTVpfHN58Vru18WxXFoDLHYb5IrxGQ8JFHaBwMcIiLt6Cv6JK+PPCXwT+Eum/wDBRe4+O9j4B0+PxjqPja8sL3xCEY3EtsuguBHydoGEQZABO0ZNfMcR0HVrYOSk1+9itPPr8rfifqfhvxrg+E8BnFCvhlVeKw8oRbt7r1Vnf7D5ryS1bjHTqvsOiiivpz8sP5p/2fPi58f9L/4K1/8ACbfE/wCIureGPFuoePb608cavPdxWU9pC0jpdRs8o2QqsalAOihVC9Fr9Ivj7Y/sx/ELwD4q+KviP40W/jTxT4d8LSPoPiS58U2+panoM0b+baPY+Wf3ExvPJ2FV3yyCOMlgQlfcHhD4R/sd6R+1J4o+JPgrw/4OT4uX+kxJ4tnsruJtW+xlYdjTwhy0aMEg+cqu7CZJ4rwz/goj8DfhB8Svi5pfi/x78PdO1XU/Cng57zw7d3cbE2E5uifMQAhScohG4HBUEYr8yzHh3E4HAVKrxLceb4VezvJK71+Lq9N+p++8R+JeA4n4qwGMp4WWFVGhCL5ElJ8qcuWOsV7N6Ri23aPvcr+E+qfhLeeMdR+FXhnUPiLbND4gn8P2UmuwtGEMd40CGZSo4UiQsMDgV0FFFfpkVyxSPwatUVWrKaSV23ZbK/ReSCvPv2kdIGp+CLS4OmC4Njqsdwr7STAdkibxj2crzxhjXoNFcuPwn17BVMPzcvMmr9isPV9hWjUtezucv8FvCR8D/C3RvDLGXdBbF2E+N4aR2kIOAMYLkY9q6iiitqFJUKMaa+ykvuVjOcnObl3Plf8AbY8Uazpf7U3ws0bxDrk9j4Wl8P69c2SyOsdpc64n2VY0kckZkWzkvmRO481gDsJX55/Zf/aQ8NzeCpdX1f8AbevbS3tPGOsJoOnXHjewtoTpkWozLaL5OM+UYlUDJyyYOec19+fHX9nz4L/tNeAZPhd8evh3p/ifQJLqK5bTdSRigmjJKSKVIZWGSMgjhiOhIPSaN4a8PeHdHtPD+g6Ja2djYW0dtZWlvAqRwQooVI1UDCqqgAAdAK+Xx3DmLxeZ1MTTxLpqSW176K1t1p19WfXf2/lS4fo4X6vetHRtqPLZOck09W5S50pJpWUFrLmtDmPgLquvax4G+265cyzhrp/sk8zFmkiwDnJ6jOcGu1oAAGAKK+jwOGlg8JCjKTk4q131PlK9RVq0ppWv0CvGv2qvAr+NrrTdOGluxvtOu9MW8gUmRFuNgdB1A+4rDI/hPYGvZaKxzTALM8FLDuXKnbX0af6F4XEPC11USva/5DLaEW9vHbqSQiBQT7DFPoor0DnCiiigDxb4jfD4+I/2g9OlGmSRCS8029kuoFP70WcqzKWJyMBl2nGOGHcg17TRRXn4HALBVK01K/tJOXpdLQ6K+IdeMFa3KrBXMXvwu0m9+IkPxCku38yJButtg2tIF2q+evA7eoH0PT0V0YjC4fFKKqxvytSXk1szOnVqUm3B2urfJnNfEb4aad8RoLSK9v5LdrSYsHjQMWRsbl56ZwOe3oa6KCGK2gS3hXakaBUUdgBgU+inDC4elXnWjG0p2u+9tglVqSpqDei2+YV+G3/B0Z4o+Lo/as8A+GdTur+Lwba+DPtnhxQpWBtRa5lW7dWH3pFRLQHuoK4xu5/cmuE+OP7MfwB/aWt9FtPjz8KdI8Ux+HdUXUdFTVYC4tbkDG9cEZBGMqcq2BkHArgzvLqmaZfLDwlyttPy0fX+tz77wv4ywfAfGFLN8VQ9rCMZxaVuZc0Wrxvpfo/7rZ8G/ss/HWy+IvwB+H978cP2xLvV/Eeo6Np9xq/h/V/HNmVmvvkdEe3XD7xII2CZzuAzzkV95/s7eEm8J/DkLIJg+o6jc37pMMFTK+cAYHGACM+tdt9ktQ24W0ec9dgqSuHKshrZfjHiKuIdR8vLqtldPdt9j5jN83p5nVqTp0Y0lOblyx2V29ErLRXsvJBXP/FT4V/Dv43fD7VPhV8WfCNnr3h3WrcQ6ppN+haK4QMGAOCCCGVWBBBBUEEEV0FFfRyjGcXGSumeRRrVcPVjVpScZRaaadmmtU01qmnqmtjB+HXwv+Hvwl8DaV8NPht4QsdH0HRLJLTStMs4QI7eFRwozkn1JJJJJJJJJrdVVUBVUADoAKWiiMYxSSVkhVatSvUlUqScpSbbbd229W23u31YUUUUyArxfS/h+br9p062dMkthYanNqjNCp2TM9m9qGYnOcrJ2xynsRXtFFefjsAsdOjJyt7Oan62vodFDEOgppK/MmvvCiiivQOc/mr/AGdvjR+0XoX/AAVmm8YfEf4n614U8Vax45vbD4garJfR2M0NsZmF1DI0nyRIqxgBTwvloF5Va/XjwBN4E+NWtXXhbQPj1N451LULZLW4mbxRb6jc2dsXwdoiGI0yxJLDGe9fT/h79l79nzwp8b9b/aS8O/CXR7Tx14jsltNb8TRW/wDpN3CBGNrHOBkQxZIALbBknFd1HbwRHdFCin1VQK+Fp8IYrWM8U+VyvypNp63u9Ur/ACevc/XfETxJy7jPMMNicLglR9lQhTe26ve1l8Eb2it7b2vZPooor7o/IgooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK8f8A2zf26v2cv2CPh9p/xJ/aO8UX1jY6tqhsNMtdI0a41C7uZVhknlZILdGkKRQQyzSPjaiRsxIr2Cvgf/gtx4c+JegeIvg3+0f4P+C3ivx7pHg9fGuja5ofgvRJNSvkm1vwzd6fZTfZ48sYvtJSJ36RrPuPANAH3T4V8UeHvHHhfTfGvhHWINR0nWLCG90vULV90VzbyoJI5UPdWRlYH0NX68i/4J//AAm8Z/Ab9hb4OfBP4ix7Nf8ACfww0LSdbi3hvKu7ewhiljyOCFdWXPfbXrtABXM/Gb4veBvgF8Ktf+M/xLv7i20Hw3psl9qc1pYy3MoiQZIjiiVnkcnAVVBJJAFdNXIfH74gaV8K/gn4p+Iet6JrWpWuk6JcTz2HhzRptRvpwEI2wW0CtJM5zwigk0ARfs7fHz4c/tSfA7wv+0P8Ir66ufDPi/SItS0Se9s3t5Xgk+6Xjf5kPHQ812lfIv8AwQp17Ur3/glr8KPBviD4feLfDGseD/D8eg65pPjLwvdaTdJdwKrOUiuURpIv3g2ygbWIYA5Bx9dUAFJJIkUbSyMAqgliewpaSRxHG0jAkKCSAMk0AeJfslf8FCv2Y/21/Efi3wd8DPEWsPq3gqW2/tvS/EHhu80u4+z3Ic215FHdRo01tMI5DHMoKttOO2fbq+Av+CQ/xZ1D9p79qD49/tYfFf4QfEbwd458VXljpemaD4x+HuoaRaaR4V06W5h023iubmJI7u5maS4u5/LJCG4RBwmT9+0AFFFFAHiN1/wUK/Zo0/8AbHsv2FtS1nXbXx3qcUx0trrwveR6XfTw2q3ktpDftGLeW4S3ZZWiVyyqecHivbq/Pb4z6d4p+Jv/AAXR+Dvin4XfB/4uR3vgG31qy+IeteJdKuP+EMj0KbSHMF3pssha3F7Jdywwl4NsxWORJBtUV+hNABRRRQB5Z+1h+2X8Av2KvCfh3xl+0B4ql0y08V+MbDwvoKW1m9xLd6leOVhiVEBOPlZmboqqSa9Tr8vv+Dg/4JftsfEnxN4C+IHwL/ZeX4m+FPCcujNZw2niYWt1pWuSeJ9Lle4+yrBLJcK1taJbmYbVtorm5lbcqstfp3p017cafBPqNmtvcPCrT26y7xE5ALKGwN2DkZwM4oAmooooA80/aw/au+Ff7GnwoHxi+L1tr1xpsmtWWk2tl4Y0CfVL+7vLuYQwQw21urSSu7sFAUE811Pwk+Jej/GT4aaJ8U/D+ia3ptlrunpd21h4k0abTr+BGHCT206rJA47o4BFeFf8FYfCHwh8ZfsofZPjj4O+LuseH7HxXpmoyH4H2txL4hsbi3lMtvdQi2/fqqTLHl4fnUlTwoYjU/4JTL+0mn/BO/4Tr+142sn4hf8ACML/AG8fEjZ1Lb50n2b7Wev2n7N5Hm558zfnnNAH0HRRRQBW1nWNK8PaRd+INd1CG0sbG2kuLy7uJAscMSKWd2Y8BQoJJ7AV5d+yD+2x8B/25PAl98Sf2f7/AFu50iyvxbrc634au9N+1o0ayRXVuLmNDPbSowaOZMo4zg8EVd/bW+Gvi/4z/sb/ABZ+D/w+I/t7xV8NNd0jRMvtBu7nT54YRk9Pndea+P8A/g3o8NftD+Efgt438PfE3TfizY+C7G48PWngrTvjKs66pa30Wh2setxwLcfvEsF1BXWBR+6Cq3l/JigD9DaKKKACvnz4R/8ABS79nn4yftZap+xZonhr4g6R440yx1G+8rxT8PtQ0yzvbWyuUtp7i2ubiNY7iLzJECyRkq4YEE5FfQdfKH7Ofgfxn8Rv+CqHx8/ab8aeE9UsNJ8J+F/D/wAN/h/dalp8sCXsCo+rapc25kUCWJrm7t4fMTKlrMjOVNAH1fRRRQAV4F8av+CmH7JH7P37UPhn9kH4l+M9TtvGPih9PS1W18P3VxY2T388lvYJd3caGK1a5mikjiEjAuykCvfa/KD/AIKR/Bv44+Kv+CzXw/8AG/h34E+OtXmj1D4dt4B1nQNCkm8My2tprV/Nr767Ko8rzba1ljltDOd0bvuh+YmgD9X6KKKAP//Z", "info": {"equation": "12+7*9=75", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "12+7*9=75", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "7b29f3fb11daf09519a265e12446f026561add0fe07f77141b1a087c32bd17b3"} +{"episode": 30649, "episode_seed": 3484196480, "split": "train", "timestamp": "2025-10-28T03:46:25.555376", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3484196480, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [1, 4, 8, 0])", "action": "('move', [1, 4, 8, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "89+88=177", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "89+88=177", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "6e74fed2f1c9456028d8ef388f32daee70c2a66b49cea99a494c4c99505123d0"} +{"episode": 30650, "episode_seed": 1780203457, "split": "train", "timestamp": "2025-10-28T03:46:25.623497", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1780203457, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 8, 6, 4])", "action": "('move', [2, 8, 6, 4])", "reward": 0.0, "image": 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6WxncMPmUruXkCvfKbOSIXK9dpx+VfW16TrUJU07cyaut1dbr0Pmcpx0MszWhjJU1UVKcZuEvhkoyT5ZeUrWfkz+X7/gln8S/G/w6/bV8LXfhb4n3fhS11Z5LLxPrFtqUNqRprASyhppgVQFooznrlQBycH9edatP2aPj34i0bS/iX8ddP+J8+n3Ek2heHvE/jG01S3S4aMhpks1wksoj3gMyvtVnxjJNaH/BO79m74D/AAc+LPgDxb8L/hZpWi6n4k8A3cuu31rGxkvG8mxk+YuzYG92bauBk9OBj2L/AIKQfBX4UfHDQ/h74B+LXgOx13RpPGM872F2GVDJHpV8UbKFWyCT3r8ow2U4irw/UxKryUY39zWzt8/0P27xD8Rct4w47oY3DUJYeKhGDmrOr9q7snFPRuKXOrx3avZc9/wSJEemfDz4j+Dfh+zv8L9D+I91bfDCSNFNqLRoYpb2K0lXPn26ag92iPlhwQGOOPrmvGP2BfCvhvwL+zdaeC/Buh22maTpXiXXbXTdPs49kVvCmq3QVFHYAfiepyTXs9fpGS03TyihFu/uR/FX/DZH47xLj4ZpntfEwjZSl13dklzSfWc7c031k2wpHRJEMcihlYYZWGQRS1xHxq+IcPhTQ30Gxkb+0dQhKw7QP3aE4Zz+oHv9K6cdjKGAws69V+7Fff2Xq9jyaFGeIqqnDdny7+1t4+/4VtpGp2HwxhurzVtXvprDwzb2dvFJMHEbyzSxxvLGsghhjmkALgMY0Bxur6m/Z10X4ZeH/gR4R0v4MyRSeFl8P2r6HPCVP2iB4w4mYj7zybi7t1ZnYnkmvnf4J/BnUPjA/iL9pC+tpVXTjcaJ4Bt3cc2sMwW/utvlhlaeeHYnzHMdtGwwJCD3n7FB1jwJP4g+Ekxjfw+dRl1bwntkRTZRzsJLmy8sIuFW4eWVDl/km25XywD8Pw1N5djuTEQUPrC5ov5v3fue3p3PczNLE4e9OV/Zuz/z/rzPf6KKK/Qz50KKKKAP5/v+DlDxb8cdU/b9PhL4gS6ing/SvD1nJ4At5otlq0UsEZu5oscO5uVkR2PzYiRTwq1+oH/BCTXvjF4g/wCCZ3gKf4yQXay2y3Ft4ce9thE8mjxvttGAABZNgwjEZZFU8jBOn/wUO/Z++C37Q3xY+HPh342/DnT/ABJY6foeu3Nlbahv2xTG40pS42Mp+6SMHI56V7B+xha2th+yn4BsLG2jhgg8NW8cEMKBUjRVwqqo4AAAAA4AFfGZZhpUuLMW3NvRP/wKzt8tkftfFniJl+e+FeVcP0sGoVMO/enpb3VKN421vUvzVL297+a916dRRRX2Z+KBXy3/AMFnfFvxx8E/8E4PiP4g/Z+m1GHW47CFLy50mLdcW+mvMi3sqkcoFtzIS68ouWBGMj6krA+K/Hwt8SnH/MAvOo/6YPXPi6LxGFnSUrcyauul1uetkOZQyfO8Nj50lVVKpCbhLaSjJPle+jtbZ+h/P/8A8G6evfGPSv8AgpLoml/DW3u5ND1LQtQi8eeRaiSOPTlgZ4nkYj92Pta2oDDBJYL0Y1/Q/XxF/wAE5v2c/gZ8A/jNo83wa+GGmeHpNc+GF3Nq8tirl7p1n0kqWZ2Y4BdyACBljxzX27XznBtNwyVO97yk/Tpp91/mfoHjJxnguOeMXmGFoeyiqcIa25pWu+aVrq+vKtX7sY+iK534t+F/hj41+GGv+FvjTp2lXfhK80mdPEcOtsq2n2PYTK0rOQEVVBYuSNu3dkYzXRV+cf8AwcyeLvjl4b/Ym0XTPhtPqMHhfVvFC23j2ewj+U2+zdbxTOOUieYDPZmCKTyAfdzLFRwWAqV5R5lFbd/+B38j5HgnIa3E/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/wCKPwug8G/HH9tCbWrLVdJt08T6BqXxNs1trtiiNNBMIShMZcMrIGAZcqcgkHpP2MfCvg74X/8ABRS98Hfs1+H7DS/D+p/DR7n4paV4dsIUsLW9iuIl0eSTyxiC4kikvsINu+NA5U53n6f/AG1/D+ia3+yP8RtF1bSoJ7S88I3sF1A8Y2yRvEVZTjsVJH415R/wT2+A/wAHP2e/in488HfBP4d6d4b0y58P6LdXNrpyNiWY3OqLvZnZmY7VUDJ4A4xXz8MqxGB4kwsKmIlUbUnd3vonpq3o+p85guIMPDh/Gx5ZLnTiqSt7K87Jzlr8ULJwSg/ejFuS5bP6sooor9DPz4+Jvjz4x16L/go3q/h/4n+I7my0uz+G9pJ8NLC8kWGzuhJLK2rzREkedOhhtA45McXOApyfFP2YP2itD1e18eJqP7bupaTodp8TdXh8G2yeNdPsozpu6Ny0SFcvF9qe7CSHO9ApBIwT+gn7Q37LH7PX7V/hiz8G/tE/CjSvFenade/a7G31JGzbzbChdHRlZcqxBAODxkHAx1/h3wl4X8JeH7Hwp4Y8PWdhpmmWcVpp1haW6pFbQRqEjjRQMKqqAABwAK+MxPDGMr5nVxMMS4KXa9/R6rRdD7qvxLks8lhRjhr1uWEJXUVCKgrc8HrJzqWTndKz5tZcy5flv9n7wx4O+JutaDceCPGI16w07xH/AGrda1ZanHefaLpJHmkaaZMqWeRyWxg5bjFfWtNjjjiXbFGqj0UYp1e3kuU/2Rh5U3Uc3KTk21be3m+3c+RxuL+uVFLlskrWCvDv+Ck3iT4qeEP2HviF4i+DN5q1rrttpUObzQbfzb20sWuoVvp4FwT5sdmbiRSAWUoCASBXuNHXrXp16TrUJ007cyaut1dWuvQrK8ZHLszoYuVNVFTnGTi9pcsk+V76O1no9D8xPj78ZfBfgHxH8DNK+D37QMfhuG+11bZLrRNftIxL4Z+xyCeRppCwSLdBbhZAfmdSoJPFeo+G/iL8MfF3inT7T/hqY+M9RikkbSNM1DxtaXzRymJ1aSKKLDF/KaRc84Vm47j6c+Bv7GX7LH7NPiDXfFXwH+BugeGNQ8SuG1q60y1KtcYdnCjJIjTc7HYm1enHyjHpS2tqjBktowR0IQV8NR4Oxqw3spYtpO94pNx/9KV/PQ+mzfiDJ6lanHA0G4wXxzUYzk229VHmS5b8q953SvpflXGfs8eCW8A/C620eQTh7rUL7UJEuQAyNdXUtwVxgYAMmADzjGcmu3oor7fC0FhcNCindRSX3Kx8fVqOrVlN9W2Fcj8RvhFpfxD1C11K41OW1kgXy5TFGG8yPJOOehBJweRyeDXXUVOLweGx1B0a8eaL6enoOjWq0J89N2ZFa2VtZ2Uen28QWGKIRog6BQMAflXJeCPgzo3gnxNP4jtdQkn3Ky2sLxgCBWxnkfePYdOD3PNdlRU1sDhK9SnUqQTdPWPkEK9WnGUYvSW/mFFFFdZkFFFFAHkP7TGhS3Wv6D4ij0QSyWlvcW1vdojM6+c8LPFxxhjDER3JXiu2+CfglPhx8JPD3gaOSZhpmlRQ5uCN/A5zgAZ59K6iivKw+Vxw+aVsbztuokrdrLv8jqqYp1MLCjb4b6+oUUUV6pyhWf4ssm1LwtqWnLZpcm4sJoxby52y7kI2nHODnH41oUVM488HG9rjTs0zwj9mn4cCy+II8YLZ3FtHo3h+fR7eBk2xgSy2zlTkZ3KLVBjPAY5HIr3eiivOyjLY5TgY4ZS5rX123d9joxmJeLruo1YKxviF8PfBPxY8D6r8NfiR4YtNa0HW7J7TVdLv4t8VzC4wysP1BGCCAQQQDWzRXpSipJpq6ZjTqVKNRVKbakndNaNNbNPo0cT8C/2cfgb+zP4DX4Y/Aj4ZaX4Z0JbuS6OnadCdrzyY3yMzEs7EKoySThVHQADs44IIjmKFFJ6lVAp9FKEIU4KMFZLoti8TicRjK8q+Im5zk7uUm2231berfmwoooqjEK/lQ+Nvxj/aq079tDXvjD8RfFGu6X8WdO8YPNdX0v7i8sb+KTYiKvRFQKqKg+QIAoytf1X15lq37Gn7LevftBWv7VWsfA/Qbj4hWaKtv4pltibhdsRiViM7WdYztDlSwAXBG0Y+e4gyavnEKSp1OTkd+v36dV09Xqj9g8I/ErLfDmvjp4zB+3Vemora6av7rv8A8u539+137sfdZ8h6P8Y/h34j8FWFh8TP23JtSa70uAa9o+pfEawa3uJGjUzQyImMoW3AqCOOM19T/sv+DTba7r3xJdps6rYWVjHuA8t0gkuZN68ZOTckE5I+Uehr177FZ/8APpF/37FSAAcAVz4DhuthMwhiq2JlUcU7JrurbuTPzbF5pDEUZU4UlBSd9Nt77WCiiivqTyAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKg1W0l1DTLmwhuWheeB40mTrGWUgMPcZzQB88fs7/8FXf2Iv2pf2hNT/Zl+DfxOu77xLYLfNYyXWhXVtYa2tlN5N4dOu5UEN6IJDtk8pm28nkAmvo6vxU/4JW/s3/tM2H7RP7IX7PHjH9m/wAceFLz9kmy+JEfxQ8Xa34flttIv21W5mWxXTrxvkvxcCVZW8snaAd3Sv2roAKKKKACvDf22f8Agon+zB/wT80rw5q37SXiLV7JPFWp/YdIj0fw9c37F98UZeQwoywxh5oV3uVBaRQMk4r3Kvz7/wCDj/xbq0v7BsXwU8H/AAj8f+LvEHivxdo15ptt4H8DX2sLDDp2rWN1cm4e1jcW/wC6DFN+PMKsFzg4AP0DVgyhh0IyKWua+DvxN0X4zfC/Q/in4c0XW9Nsdd09Lq1sfEmizadfwI3RZ7adVkhfjlHAIrpaACiiigCh4q8T6H4J8L6l4z8T34tdM0iwmvdRumRmEMESGSR8KCThVJwATxwK8P8A2QP+CmX7KX7b3jjxJ8MPgrr3iC28TeFbOC+1Xw74u8JX2jXv2Gc4hvI4byKNpIH4xIBj5l9Rn2rxz4pg8DeCdY8bXWkX+oRaPpVxfSWGlWjT3VysUbSGKGJeZJGC7VQcsxAHWvzl/wCCM3xR1j9qv9sv4sftrftGfBv4m+D/AIs+M9ATTdH8NeKPhlqek6V4V8JWV2Ba6el9dQpFe3sskouJSp7kIoVGoA/S+iiigAooooA+d/2zf+Cov7Jn7BOvWWh/tF6t4ps0uLOK8v8AVdG8E6hqNho9rLP5Ec99dW8LRWiNICq+YwJ2nAr6B03UrDWdOt9X0u7Se1uoEmtp4zlZI2AZWB7ggg1+ZX/BxfYXHxz+F0X7N/gf4FftB698SIrK3v8A4ZS/D3Rbu48J6xfzX0GbbWNhNpKkP2VHKXqhVWUmMnc1fpJ8PYvE8HgDQ4PGtvaxaymj2y6vFZKBCl0Il81YwOAgfcBjtigDYooooAKCQoLMQAByTRXif/BRvwh+0t8Qv2I/iL8P/wBkKKF/iFr2gNp2h+dqiWJVZ5EiuGS4cFYJRbtMUkIO19pwcYoAX9jX/goL+y/+3zF43u/2YfGtxrtr8P8AxZN4d1+9fTpIYWvIxkmB3AE0ZHIkXgggjrXtdfmV/wAG+vws/aS+Cfxb/aZ8B/Fb9iX/AIVB4Xk8e6fL4etV8Rm+t42h0y2tRaWsn2aEXsKxRI5vE+VnZk27lJP6a0AFFFFABXzn8Sv+CoH7Ovwz/aqm/Y4ufCHxK13xlZvpQ1U+EvhtqWq2GmLqJItZLq6tomitkYByXkIAEbknCnH0ZX5Lf8FUPAHxC0r9u1/H/wCwp4E/aZ0v9onXvF/hCCHW9BtbuPwBq2i2wUTm/li/0SSGOCW6R1uT5iyZ2Da2SAfrTRRRQAUUUUAch8fPj18Jf2YPg7r/AMfPjr40tfD3hPwxYG71nVrvJSGPIUABQWdmZlRVUFmZgACSK5/9lL9rj4TftkfDyf4kfCSz8S2draX5s7yw8XeFLzRr6CTy0kUtb3caSbGjkR1cAqwYEGvnf/g4J/Z2+MX7TH/BMvxP4J+B2g6xq2t6V4j0PXZNI8OjdqF5aWWoQzzrbL/HOsatIifxNGAASQKo/wDBDa3/AGg4/h18WLn4iT/FhvhvP8Tpm+Cg+OD3TeJRo32aLzTcfbP9JERufN8sS/NgNj5cUAfctFFFAH//2Q==", 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6WxncMPmUruXkCvfKbOSIXK9dpx+VfW16TrUJU07cyaut1dbr0Pmcpx0MszWhjJU1UVKcZuEvhkoyT5ZeUrWfkz+X7/gln8S/G/w6/bV8LXfhb4n3fhS11Z5LLxPrFtqUNqRprASyhppgVQFooznrlQBycH9edatP2aPj34i0bS/iX8ddP+J8+n3Ek2heHvE/jG01S3S4aMhpks1wksoj3gMyvtVnxjJNaH/BO79m74D/AAc+LPgDxb8L/hZpWi6n4k8A3cuu31rGxkvG8mxk+YuzYG92bauBk9OBj2L/AIKQfBX4UfHDQ/h74B+LXgOx13RpPGM872F2GVDJHpV8UbKFWyCT3r8ow2U4irw/UxKryUY39zWzt8/0P27xD8Rct4w47oY3DUJYeKhGDmrOr9q7snFPRuKXOrx3avZc9/wSJEemfDz4j+Dfh+zv8L9D+I91bfDCSNFNqLRoYpb2K0lXPn26ag92iPlhwQGOOPrmvGP2BfCvhvwL+zdaeC/Buh22maTpXiXXbXTdPs49kVvCmq3QVFHYAfiepyTXs9fpGS03TyihFu/uR/FX/DZH47xLj4ZpntfEwjZSl13dklzSfWc7c031k2wpHRJEMcihlYYZWGQRS1xHxq+IcPhTQ30Gxkb+0dQhKw7QP3aE4Zz+oHv9K6cdjKGAws69V+7Fff2Xq9jyaFGeIqqnDdny7+1t4+/4VtpGp2HwxhurzVtXvprDwzb2dvFJMHEbyzSxxvLGsghhjmkALgMY0Bxur6m/Z10X4ZeH/gR4R0v4MyRSeFl8P2r6HPCVP2iB4w4mYj7zybi7t1ZnYnkmvnf4J/BnUPjA/iL9pC+tpVXTjcaJ4Bt3cc2sMwW/utvlhlaeeHYnzHMdtGwwJCD3n7FB1jwJP4g+Ekxjfw+dRl1bwntkRTZRzsJLmy8sIuFW4eWVDl/km25XywD8Pw1N5djuTEQUPrC5ov5v3fue3p3PczNLE4e9OV/Zuz/z/rzPf6KKK/Qz50KKKKAP5/v+DlDxb8cdU/b9PhL4gS6ing/SvD1nJ4At5otlq0UsEZu5oscO5uVkR2PzYiRTwq1+oH/BCTXvjF4g/wCCZ3gKf4yQXay2y3Ft4ce9thE8mjxvttGAABZNgwjEZZFU8jBOn/wUO/Z++C37Q3xY+HPh342/DnT/ABJY6foeu3Nlbahv2xTG40pS42Mp+6SMHI56V7B+xha2th+yn4BsLG2jhgg8NW8cEMKBUjRVwqqo4AAAAA4AFfGZZhpUuLMW3NvRP/wKzt8tkftfFniJl+e+FeVcP0sGoVMO/enpb3VKN421vUvzVL297+a916dRRRX2Z+KBXy3/AMFnfFvxx8E/8E4PiP4g/Z+m1GHW47CFLy50mLdcW+mvMi3sqkcoFtzIS68ouWBGMj6krA+K/Hwt8SnH/MAvOo/6YPXPi6LxGFnSUrcyauul1uetkOZQyfO8Nj50lVVKpCbhLaSjJPle+jtbZ+h/P/8A8G6evfGPSv8AgpLoml/DW3u5ND1LQtQi8eeRaiSOPTlgZ4nkYj92Pta2oDDBJYL0Y1/Q/XxF/wAE5v2c/gZ8A/jNo83wa+GGmeHpNc+GF3Nq8tirl7p1n0kqWZ2Y4BdyACBljxzX27XznBtNwyVO97yk/Tpp91/mfoHjJxnguOeMXmGFoeyiqcIa25pWu+aVrq+vKtX7sY+iK534t+F/hj41+GGv+FvjTp2lXfhK80mdPEcOtsq2n2PYTK0rOQEVVBYuSNu3dkYzXRV+cf8AwcyeLvjl4b/Ym0XTPhtPqMHhfVvFC23j2ewj+U2+zdbxTOOUieYDPZmCKTyAfdzLFRwWAqV5R5lFbd/+B38j5HgnIa3E/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/wCKPwug8G/HH9tCbWrLVdJt08T6BqXxNs1trtiiNNBMIShMZcMrIGAZcqcgkHpP2MfCvg74X/8ABRS98Hfs1+H7DS/D+p/DR7n4paV4dsIUsLW9iuIl0eSTyxiC4kikvsINu+NA5U53n6f/AG1/D+ia3+yP8RtF1bSoJ7S88I3sF1A8Y2yRvEVZTjsVJH415R/wT2+A/wAHP2e/in488HfBP4d6d4b0y58P6LdXNrpyNiWY3OqLvZnZmY7VUDJ4A4xXz8MqxGB4kwsKmIlUbUnd3vonpq3o+p85guIMPDh/Gx5ZLnTiqSt7K87Jzlr8ULJwSg/ejFuS5bP6sooor9DPz4+Jvjz4x16L/go3q/h/4n+I7my0uz+G9pJ8NLC8kWGzuhJLK2rzREkedOhhtA45McXOApyfFP2YP2itD1e18eJqP7bupaTodp8TdXh8G2yeNdPsozpu6Ny0SFcvF9qe7CSHO9ApBIwT+gn7Q37LH7PX7V/hiz8G/tE/CjSvFenade/a7G31JGzbzbChdHRlZcqxBAODxkHAx1/h3wl4X8JeH7Hwp4Y8PWdhpmmWcVpp1haW6pFbQRqEjjRQMKqqAABwAK+MxPDGMr5nVxMMS4KXa9/R6rRdD7qvxLks8lhRjhr1uWEJXUVCKgrc8HrJzqWTndKz5tZcy5flv9n7wx4O+JutaDceCPGI16w07xH/AGrda1ZanHefaLpJHmkaaZMqWeRyWxg5bjFfWtNjjjiXbFGqj0UYp1e3kuU/2Rh5U3Uc3KTk21be3m+3c+RxuL+uVFLlskrWCvDv+Ck3iT4qeEP2HviF4i+DN5q1rrttpUObzQbfzb20sWuoVvp4FwT5sdmbiRSAWUoCASBXuNHXrXp16TrUJ007cyaut1dWuvQrK8ZHLszoYuVNVFTnGTi9pcsk+V76O1no9D8xPj78ZfBfgHxH8DNK+D37QMfhuG+11bZLrRNftIxL4Z+xyCeRppCwSLdBbhZAfmdSoJPFeo+G/iL8MfF3inT7T/hqY+M9RikkbSNM1DxtaXzRymJ1aSKKLDF/KaRc84Vm47j6c+Bv7GX7LH7NPiDXfFXwH+BugeGNQ8SuG1q60y1KtcYdnCjJIjTc7HYm1enHyjHpS2tqjBktowR0IQV8NR4Oxqw3spYtpO94pNx/9KV/PQ+mzfiDJ6lanHA0G4wXxzUYzk229VHmS5b8q953SvpflXGfs8eCW8A/C620eQTh7rUL7UJEuQAyNdXUtwVxgYAMmADzjGcmu3oor7fC0FhcNCindRSX3Kx8fVqOrVlN9W2Fcj8RvhFpfxD1C11K41OW1kgXy5TFGG8yPJOOehBJweRyeDXXUVOLweGx1B0a8eaL6enoOjWq0J89N2ZFa2VtZ2Uen28QWGKIRog6BQMAflXJeCPgzo3gnxNP4jtdQkn3Ky2sLxgCBWxnkfePYdOD3PNdlRU1sDhK9SnUqQTdPWPkEK9WnGUYvSW/mFFFFdZkFFFFAHkP7TGhS3Wv6D4ij0QSyWlvcW1vdojM6+c8LPFxxhjDER3JXiu2+CfglPhx8JPD3gaOSZhpmlRQ5uCN/A5zgAZ59K6iivKw+Vxw+aVsbztuokrdrLv8jqqYp1MLCjb4b6+oUUUV6pyhWf4ssm1LwtqWnLZpcm4sJoxby52y7kI2nHODnH41oUVM488HG9rjTs0zwj9mn4cCy+II8YLZ3FtHo3h+fR7eBk2xgSy2zlTkZ3KLVBjPAY5HIr3eiivOyjLY5TgY4ZS5rX123d9joxmJeLruo1YKxviF8PfBPxY8D6r8NfiR4YtNa0HW7J7TVdLv4t8VzC4wysP1BGCCAQQQDWzRXpSipJpq6ZjTqVKNRVKbakndNaNNbNPo0cT8C/2cfgb+zP4DX4Y/Aj4ZaX4Z0JbuS6OnadCdrzyY3yMzEs7EKoySThVHQADs44IIjmKFFJ6lVAp9FKEIU4KMFZLoti8TicRjK8q+Im5zk7uUm2231berfmwoooqjEK/lQ+Nvxj/aq079tDXvjD8RfFGu6X8WdO8YPNdX0v7i8sb+KTYiKvRFQKqKg+QIAoytf1X15lq37Gn7LevftBWv7VWsfA/Qbj4hWaKtv4pltibhdsRiViM7WdYztDlSwAXBG0Y+e4gyavnEKSp1OTkd+v36dV09Xqj9g8I/ErLfDmvjp4zB+3Vemora6av7rv8A8u539+137sfdZ8h6P8Y/h34j8FWFh8TP23JtSa70uAa9o+pfEawa3uJGjUzQyImMoW3AqCOOM19T/sv+DTba7r3xJdps6rYWVjHuA8t0gkuZN68ZOTckE5I+Uehr177FZ/8APpF/37FSAAcAVz4DhuthMwhiq2JlUcU7JrurbuTPzbF5pDEUZU4UlBSd9Nt77WCiiivqTyAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKg1W0l1DTLmwhuWheeB40mTrGWUgMPcZzQB88fs7/8FXf2Iv2pf2hNT/Zl+DfxOu77xLYLfNYyXWhXVtYa2tlN5N4dOu5UEN6IJDtk8pm28nkAmvo6vxU/4JW/s3/tM2H7RP7IX7PHjH9m/wAceFLz9kmy+JEfxQ8Xa34flttIv21W5mWxXTrxvkvxcCVZW8snaAd3Sv2roAKKKKACvDf22f8Agon+zB/wT80rw5q37SXiLV7JPFWp/YdIj0fw9c37F98UZeQwoywxh5oV3uVBaRQMk4r3Kvz7/wCDj/xbq0v7BsXwU8H/AAj8f+LvEHivxdo15ptt4H8DX2sLDDp2rWN1cm4e1jcW/wC6DFN+PMKsFzg4AP0DVgyhh0IyKWua+DvxN0X4zfC/Q/in4c0XW9Nsdd09Lq1sfEmizadfwI3RZ7adVkhfjlHAIrpaACiiigCh4q8T6H4J8L6l4z8T34tdM0iwmvdRumRmEMESGSR8KCThVJwATxwK8P8A2QP+CmX7KX7b3jjxJ8MPgrr3iC28TeFbOC+1Xw74u8JX2jXv2Gc4hvI4byKNpIH4xIBj5l9Rn2rxz4pg8DeCdY8bXWkX+oRaPpVxfSWGlWjT3VysUbSGKGJeZJGC7VQcsxAHWvzl/wCCM3xR1j9qv9sv4sftrftGfBv4m+D/AIs+M9ATTdH8NeKPhlqek6V4V8JWV2Ba6el9dQpFe3sskouJSp7kIoVGoA/S+iiigAooooA+d/2zf+Cov7Jn7BOvWWh/tF6t4ps0uLOK8v8AVdG8E6hqNho9rLP5Ec99dW8LRWiNICq+YwJ2nAr6B03UrDWdOt9X0u7Se1uoEmtp4zlZI2AZWB7ggg1+ZX/BxfYXHxz+F0X7N/gf4FftB698SIrK3v8A4ZS/D3Rbu48J6xfzX0GbbWNhNpKkP2VHKXqhVWUmMnc1fpJ8PYvE8HgDQ4PGtvaxaymj2y6vFZKBCl0Il81YwOAgfcBjtigDYooooAKCQoLMQAByTRXif/BRvwh+0t8Qv2I/iL8P/wBkKKF/iFr2gNp2h+dqiWJVZ5EiuGS4cFYJRbtMUkIO19pwcYoAX9jX/goL+y/+3zF43u/2YfGtxrtr8P8AxZN4d1+9fTpIYWvIxkmB3AE0ZHIkXgggjrXtdfmV/wAG+vws/aS+Cfxb/aZ8B/Fb9iX/AIVB4Xk8e6fL4etV8Rm+t42h0y2tRaWsn2aEXsKxRI5vE+VnZk27lJP6a0AFFFFABXzn8Sv+CoH7Ovwz/aqm/Y4ufCHxK13xlZvpQ1U+EvhtqWq2GmLqJItZLq6tomitkYByXkIAEbknCnH0ZX5Lf8FUPAHxC0r9u1/H/wCwp4E/aZ0v9onXvF/hCCHW9BtbuPwBq2i2wUTm/li/0SSGOCW6R1uT5iyZ2Da2SAfrTRRRQAUUUUAch8fPj18Jf2YPg7r/AMfPjr40tfD3hPwxYG71nVrvJSGPIUABQWdmZlRVUFmZgACSK5/9lL9rj4TftkfDyf4kfCSz8S2draX5s7yw8XeFLzRr6CTy0kUtb3caSbGjkR1cAqwYEGvnf/g4J/Z2+MX7TH/BMvxP4J+B2g6xq2t6V4j0PXZNI8OjdqF5aWWoQzzrbL/HOsatIifxNGAASQKo/wDBDa3/AGg4/h18WLn4iT/FhvhvP8Tpm+Cg+OD3TeJRo32aLzTcfbP9JERufN8sS/NgNj5cUAfctFFFAH//2Q==", 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", "info": {"equation": "88/11=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": "88/11=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "953d1759d9178b92d307e58bc423a81b70fcb07258f222d5fcc366c72add5ffa"} +{"episode": 30651, "episode_seed": 3959938991, "split": "train", "timestamp": "2025-10-28T03:46:25.696233", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3959938991, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [7, 6, 2, 8])", "action": "('move', [7, 6, 2, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "15*8=120", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", "info": {"equation": "15*8=120", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "fdbaca469b521e55c68230d2fc0cf6669a617a0916ed55018f57d13f0582755d"} +{"episode": 30652, "episode_seed": 3319028303, "split": "train", "timestamp": "2025-10-28T03:46:25.755787", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3319028303, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 1, 1, 7])", "action": "('move', [0, 1, 1, 7])", "reward": 0.0, "image": 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", 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", 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"info": {"equation": "6+4*0=6", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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K8D/4Ki+Kvjf4I/YA+KPir9nN9QTxfZeHd+nTaTDvuYITNGLqWIdQ6WxncMPmUruXkCvfKOvWvra9J1qEqaduZNXW6ut16HzOU46GWZrQxkqaqKlOM3CXwyUZJ8svKVrPyZ/LH/wT6+I3xV8H/tP+GtD+H3iy9srTxNr2nWPiq2huFEd/YfboJXjlD8MNyKwx82R8vJwf268P/EC18JftJeIdBi+Jp0u/1fw1pUdpoQ1eOFr4LNfM0iREh5HUJjcvRSwPWvRfiz+xr+y3+zP8FPHXi34C/A/QfC+peJb3TH1q70u2KtcY1OFwoySI03Ox2JtXpxwMdB+yVHG3xd8fu0akjStEwSOR82oV+Xrh3E4fM6WCdezlGTur6LstVvbXbc/YPE3xGy3j3Nv7VwmE9nCEYQtK3NJpt80rXWnNyx30Sel7L2L4c3WvXvgnT7nxMri9eHM3mLhjydpYdiRgketbdFFfqFCk6NCNNyb5Uld7uy3fmz8SqSU5uVrXYV/Or/wcJ+Lfjhrn/BR/xH4e+K02oromkafaJ4DtrqLZbjTXhRnlhA4cNceeGfklo9pPyAD+iqvNPj/+xz+y/wDtT32i6n+0L8E9D8WXHh6R30ebVbcs1vvKllypG5SUUlGypx0ryc/yqrm+B9hTnyu6euz8n+fqj9N8JOPcB4d8VPM8Zh3Wg6coaW5ot2alG9lfTleq92T9H+dX/BPP9oLU9c/Yw8EP8af23NW0XWk02W1Gl/8ACe2Nk1tZxTSRWiiIjdHi3SLGfmPBPJrqNJ+G3wJ+Evxu+A/iX9j7Q9Gh8XX/AMRLWzhvPDPk3lxrHh+Z5RrUt1LuZp4Vh82RrhiSkqRgMCQh/TKPT7CKNYorGFVVQFVYgAAOgFfAn7FX7OXwL+GXx5+H3xW8A/C/S9L8SeJL3U21zWbdHM93vsb2RwSzEKGcBiFCgkDjgY+RxuS4nAZhg1UxMp800le/u2ttdseD4uwtfG5jj1SdKNTnmqMLezk589oT1j7kVJ292TavFct+ZfoDRRRX6SflwV5f+0taaK2naddyNt1EzMkIVRl4sZYMeoAJGPc+9ek6lqNppOnz6pfyhIbeJpJXPZQMmvlL4/6x4k+P/j7S/hJ4Rlu7aTxldtp7XsJCSaXosQD39yGMbhXMTGNMj/W3UXOASPmOKMRCWDWCilKpVaUV21+L5fn8z1MrpyVZ1m7Rgm2/0K37BfivwR8Wv2g/GHj3UIH/ALS0/R4rXwGLqKHZLovnyRXV9bOsrM/nXkJRztXEUNp/z05+va+T/if8KNQ+CHxG8K+IvhRYQ203gy4jOi2YZI0utHdVhutPLmNtu6JBsxgCWGElgATX1VYX1tqdjDqNnIHiniWSNh3UjIo4YrwjhJYKS5alJtNd9dH8wzSm3WVdO8Zq6/yJqKKK+nPLPzck+JGmfY/2itT/AGlfiJdabrlp4y12z8Qrqs0cE+l6IFaHSFtYmwPJks2ikhIB86eeXBZyRXafto/Ef9szTP8AghcfH8Ca3afE+4+H2kt4ylt7ER31tDIIhqMrIoBhYQmUuygNGNx+UrkV/wDgoT+zj8Cvit8dPHnxL+JPwt0vWtd8N/DaybQtSv42ZrQqmpSKVXcFbDgMNwPIr7S+JDE/B/XmY5J8NXROec/6O1fCZPgZvHZjS9o9dL9feu7+qP1DFcTZPhcRl+Po4VSlGpTqzhJRUEqdl7KFr/u5at3S2grPlcpfgL/wbp698Y9K/wCCkuiaX8Nbe7k0PUtC1CLx55FqJI49OWBnieRiP3Y+1ragMMElgvRjX9D9fEX/AATm/Zz+BnwD+M2jzfBr4YaZ4ek1z4YXc2ry2KuXunWfSSpZnZjgF3IAIGWPHNfbtehwbTcMlTve8pP06afdf5m3jJxnguOeMXmGFoeyiqcIa25pWu+aVrq+vKtX7sY+iK534t+F/hj41+GGv+FvjTp2lXfhK80mdPEcOtsq2n2PYTK0rOQEVVBYuSNu3dkYzXRV+cf/AAcyeLvjl4b/AGJtF0z4bT6jB4X1bxQtt49nsI/lNvs3W8UzjlInmAz2Zgik8gH3cyxUcFgKleUeZRW3f/gd/I+R4JyGtxPxZg8rpVvYyqzSU/5ba3W3vae6rq8rK63PtD9lP4Y/so/DX4QwaB+x/pHhSLwZLfT3EL+E7yO7tJrksFlczI7+Y+VCkliQEC8BQB6THBBEcxQopPUqoFfz4/8ABDX43eOPCfi7xf8ADvXP2j9U8FeBhpX9oC3i8TW+nwSaq0sMaspnBy5hWTITqEXd0Wv1S+D/AMZh4gum8P8Aw6/aOuvGt5HcLcGIeJ4NRmizhACIORGfRhjJNfJ4fjTBRw8Y+wknorRSt8v008j6nxE4DxvDHF+JwNXF+3aal7STfO+ZKXv3v72uur79bH1/RTIDM0CNcKBIUHmBegOOcU+vuU7q5+XBX8pXx7+Kf7TZ/bH174rfFjWtXsvipp/jP7TdXV5GI7mx1G3mHlKqHKoIjHGqKPkCooHygV/VrXwF8ff2cfgXr/7WnjH4/wCufC7S7rxnp3xK8Ow2HiGeNmngRYdFVdoLbMhXYBtuRng5xXx3GWHlVw9CSk176X/gXX1VtPVn7T4NeIWX8BYrMHisIq/tqVltdOLfuu//AC7nze/a792OjMS98f8Awf8Aij8LoPB3xw/bQm1qy1XSbdPE+gal8TbNba7YojTQTCEoTGXDKyBgGXKnIJB6n9jTQ/Dnwy/4KDXPw7/Zu0u203wte/Dqa++Jug+HrWJdMstQWe3TSp3WP5be6lhN2Co2mSKFHIbAavpr9tfw/omt/sj/ABG0XVtKgntLzwjewXUDxjbJG8RVlOOxUkfjXlH/AAT2+A/wc/Z7+Kfjzwd8E/h3p3hvTLnw/ot1c2unI2JZjc6ou9mdmZjtVQMngDjFedTyrEYHiTCwqYiVRtSd3e9knpu9H1Pl8FxBh4cP42PLJc6cVSVvZXnZOctfihZOCUH70YtyXLZ/VlFFFfoZ+fHxN8efGOvRf8FG9X8P/E/xHc2Wl2fw3tJPhpYXkiw2d0JJZW1eaIkjzp0MNoHHJji5wFOT4p+zB+0Voer2vjxNR/bd1LSdDtPibq8Pg22Txrp9lGdN3RuWiQrl4vtT3YSQ53oFIJGCf0E/aG/ZY/Z6/av8MWfg39on4UaV4r07Tr37XY2+pI2bebYULo6MrLlWIIBweMg4GOv8O+EvC/hLw/Y+FPDHh6zsNM0yzitNOsLS3VIraCNQkcaKBhVVQAAOABXxmJ4YxlfM6uJhiXBS7Xv6PVaLofdV+JclnksKMcNetywhK6ioRUFbng9ZOdSyc7pWfNrLmXL8t/s/eGPB3xN1rQbjwR4xGvWGneI/7VutastTjvPtF0kjzSNNMmVLPI5LYwctxivrWmxxxxLtijVR6KMU6vbyXKf7Iw8qbqOblJybatvbzfbufI43F/XKily2SVrBRRRXsHGcl8c9ATxP8LdU0WTR1v0kWJ2tmDHOyVHDALySpUMPda5H9l7wO2k3XiDx/L54bW1s7ZVkACFLfziGXjJyZ2BOSPlGOhr1ugADgCvKq5XGrm9PHOb92LjbprfW/wA/yOqOKccJKhbd3uFFFFeqcoUUUUAI5cITGAWx8oPrXzz8FfhQkfxY0i5j0ibTofCUt1NHawoRFG0kEsAjO4E4xMzDnJwDyM19D0YHpXlY/K447FUKzm17J3t32+7Y6sPinQpVIJX5lb0CiiivVOUq61pNpr2kXOi3ykw3ULRyY6gEYyPesD4a/CzTvhyt1JDqL3c90QDLJGF2oCcKAM+vJ7n0rqaK5amCwtXFQxE43nG6T7XNY16saTpp+690cr8SfhVpvxFe0uJ9RktJrUlTJHGG3xkglcHoeOD2z0NdFpGmWui6Xb6RZLiG2hWKMH0UYFWKKKeCwtLEzxEI2nO133tsEq1WdJU29FsgooorqMj83H+JWlraftFar+0t8RLnTdbs/GWu2niJNWmigm0vRArQ6QttE2B5Mlm0UkJwRNPPLyzkgVf2fP2gofGv7O3hDVPjj+3VqS+ItV8L2sniewuviFp8IM8kQMsbxBRsznBXgjJHBr7f+KP7GX7LPxr+K+hfHL4r/A7Qdd8W+GvK/sTXL+2LTW/lSmWIcEBwkhLKHDBSSRjNelGztCcm1j/74FfDrhTHfWatSOLcVJ30vd/4tVqvmfe5txPkmLwkY4fC/vJOMpcyiow5Y8vJStd8jbcndRekI2bi5S8G/ZW8HaTqPjC3+JmgzB9NsvDEmnaZLaSK9rNDcSWsoKOM78LbJgg4w3Ocg177SKqoNqqAB0AFLX0uUZasqwMcMpc1r62tu77anxmMxLxdd1GrXCsb4hfD3wT8WPA+q/DX4keGLTWtB1uye01XS7+LfFcwuMMrD9QRgggEEEA1s0V6UoqSaaumYU6lSjUVSm2pJ3TWjTWzT6NHE/Av9nH4G/sz+A1+GPwI+GWl+GdCW7kujp2nQna88mN8jMxLOxCqMkk4VR0AA7OOCCI5ihRSepVQKfRShCFOCjBWS6LYvE4nEYyvKviJuc5O7lJttt9W3q35sKKKKoxCvyevfjRqWif8E9fHPxD+KfxVvtL+KAutUm8S3F9NDHqVj4uS5dre1WBshCkkFukMQXH2eJGUFRuP6w15lq37Gf7LWu/tBW37VWsfA/Qbj4hWaItv4pktibhSsRiViM7WdYztDlSwAUAjaMfPcQZNXziFJU6nJyu//B9VbT1eqPr+Fs7yjKo1YY+i5pyhNcqi23T5/wB2+a1oVOf3mrtcsXyS2PkLRfjH8PPEfgjT7D4m/tuTak13pVuNf0fUfiNYNb3EjRKZoZETGULbgVBHHGa+qP2X/Bpttd174ku02dVsLKxj3AeW6QSXMm9eMnJuSCckfKPQ1699is/+fSL/AL9ipAAOAK58Bw3WwmYQxVbEyqOKdk13Vt3Jnj4vNIYilOnCkoKTvptvfawUUUV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"info": {"equation": "6+4*0=6", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "8d6c2272ccae9a9f0a2c0c2915d81067d6d8712c99ab6cddd313ec636b7f6dcb"} +{"episode": 30653, "episode_seed": 3385446126, "split": "train", "timestamp": "2025-10-28T03:46:25.832604", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3385446126, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 4, 1])", "action": "('move', [1, 5, 4, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "13*18=234", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed 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*18=234", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "7867e4912269e37a0aa1ffb6800e763f3720a50aa4eece2d6acb9c4f3d1b7373"} +{"episode": 30654, "episode_seed": 849544137, "split": "train", "timestamp": "2025-10-28T03:46:25.890473", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 849544137, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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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nT/gnf8IPhj8DfDvjL4e/CHwTZeH9Fh1+3nj06wVtgkks4S7ksSzEnHJJ4AHQAV9F15vDUHDI6CvfS/3tv8D6DxL4iw3FnHGMzWhS9lCpJWjpf3Yxjd205pW5pWvq3q9z46/4LzeJPix4Y/4Jk+PLv4Sy3sUlw9na+IJtPjzImlSzqlzkjlUZSEcj+B2zwSa/Mr/giV42+IWq+Afiv4G1jxLdzeGdF8HXlxomnyzgxWVzOB9peMdU3iKAn+HKZ67s/vZ4o8MeHvGvhrUPB3i3R7fUdK1ayls9SsLuMPFcwSoUkjdT1VlYgj0NfJ37QPwK+EP7OPhLTvhR8DvANh4b8PWXgLxJLbaXpyEIryS2ru5LEszFj1JJ6DoAK8Li3K6tRPHKpaMYpOPf3l+Gt/VL5fR8N8d4HB+HeI4VlhU6tasqiq6aJKLfnzLk5VbTlnLVWtL1T9kLx3qXjvSRqdl46fxLo50uJYtY/tBbpJpUwmRKnyMx2tux3HIzmva6r6SiR6XbrGgUeQnAGOwqxX1WV4KeX4NUZ1HN3bu99Xfu/wAz8qxVeOIrOajyrsjmfjTfeN9L+DnizU/hnbPN4kt/DN/L4fhjhEjPfLbuYFCtwxMgQYPB6V/Ov/wSQ+LfxD8O/tz3WqeI/jVqnhSPxBp2pHxvrkmsxWU07YaYCWa4Bw7XQjJH3ic9s1/SdXBfC39lz9nr4J+MvFPxC+FPwk0bQta8bXwvPFOo2NtiTUZ98j73ySB80sjYXAJcnGa83O8lr5rXozp1nT5L7Xvr1Vra9N9j9J4J4/y/hXhXN8qr4RVZYyEYxlpaLV0+a+tlzc0bbTS73X5+/HDRvghq+iXHx1+G3jiz8afFe08T6H/wiXir+2bbV9XGrJdIljZRMCQsbgzBoFAVkaaRgSpdf0/r45+PPwO+EOvft3ad8a9Z+H2nXPivQtY8K2uj65KjGa0he8G5UGdoz5j84z8xwa+xq5eGMLPCVcVCU3NqdrvrZb9dXfX0Pm+Is1p47LsFRi5NwjJty6c3KlTjq/cgoXj8OspWit2UUUV9YfJH4if8HTviH4ryftB/Djwlqcl6vgdPCEt3pCGPFtLqjXMiXR3D78iwi0GD91XGMbzn9Uv+Cc2sfE3X/wBhL4T6v8YoblPEc/gewOoi8gEUp/dARs6jGGMYQngHJ5AOa4f/AIKRfBP4TfHOTwV4d+L/AIDsPENjYLqt9aWmoKxSO4SKALJhSM4DMMHIOeQa97+Cv/JHPCXA/wCRZsOg/wCneOvl8uoOHEmMlzN6Q09V+ltPU/U+JeNcHnHhvlGRU8MoTw0qjlPTW7+z1969533lFPXp01eV/tR/Cj9j/wCKNl4Xi/a50TwfdwWPiOJ/Cf8Awlt7FAp1JgdkcJkdfNdwP9V8wfaMqcDHqlfht/wdGeKPi6P2rPAPhnU7q/i8G2vgz7Z4cUKVgbUWuZVu3Vh96RUS0B7qCuMbufRzzHwy7LpVpQ51dKz21fX+t7HD4V8KYjjPjOjl1HFPDScZy9pG/MuWL0jZq7ez1Xu8z6WP3F+yWobcLaPOeuwVJX5vfsd/tLX2ufBP4feJfid+2vqF34u1Dw/aNq2jaj47sj5t1LHt8t4AA+47h8ud27Hevv8A+E93rl74B0+58QtI1yyN882d7JuO0tnnO3H1rlyriLDZviXRpU5Kyvd27pW0b7nymb5LWyevUpVJxlyTcLxd07Nq68nbQ6KiiivoTxTx7/goJ4g+K3hT9iP4peJPge94niuy8FX0ujSadHvuI5BEcvEOu9U3MuOQQCMnFfk7/wAGs2t/E9P2nfiRoemJdP4RufBcVxr0ggDRLqCXaCz3OeVcxyXuB/EAxP3a/b6/YrYzMp5ETEfka+R/+CYHwS+EvwTv9ZtPhP4BsNBj1vwdoeoasLFWzdXTNdAyOWJJPt0GTgDJr5jNKEpcQ4KfM18enor/AI3s/I/U+GONcHk/hxnGRVMMpzxLpuM9NLNfF1923NC20m3p1+vaKKK+nPywK/nb/Y48dftS6n/wXi0jxHr6atL45vPitd2vi2K4tAZY7DfJFeIyHhIo7QOBjhERdvQV/RJXx54S+Cfwl03/AIKL3Hx3sfAOnx+MdR8bXlhe+IQjG4ltl0FwI+TtAwiDIAJ2jJr5jiOg6tbByUmv3sVp59flb8T9T8N+NcHwngM4oV8MqrxWHlCLdvdeqs7/AGHzXklq3GOnVfYdFFFfTn5YfzT/ALPvxc+P+lf8Fa/+E2+KHxF1Xwx4t1Dx9fWnjfV7i7isp7SFndLqNnlGyFVjUoB0UKoXotfo9+0Ro37K/wAUfhv4v+I/jL4vWXjvxFofhKX+yNev/EttquoaK6MZLU2SocQytd+Vt2rulk2RncCEPunw8+B/wj0n/goLdfG/T/h/p8Xi7WPGmq2Wpa9sYzz266XKFjOSVAxGn3QCdozmmf8ABRH4G/CD4lfFzS/F/j34e6dqup+FPBz3nh27u42JsJzdE+YgBCk5RCNwOCoIxX5LVymusur1vby5Y1XHl1s3zJcz131vt03P6A4m8SMt4k4qy/G0cM8MqVCEX7O3M3FOTgtUuS/uK70jq4v4D6p+Et54x1H4VeGdQ+Its0PiCfw/ZSa7C0YQx3jQIZlKjhSJCwwOBXQUUV+sxXLFI/A61RVasppJXbdlsr9F5IK8+/aR0gan4ItLg6YLg2Oqx3CvtJMB2SJvGPZyvPGGNeg0Vy4/CfXsFUw/Ny8yav2Kw9X2FaNS17O5y/wW8JHwP8LdG8MsZd0FsXYT43hpHaQg4AxguRj2rqKKK2oUlQoxpr7KS+5WM5yc5uXcKxfiRpY1z4fa5oj6ct4t5pNxBJauDiZXjZWTjnkEjitqinVh7WlKF7XTX3hCXJJS7HmP7MfhNtE0PWPEUgmVtZ1FJNsowMRQpECvGcHb7816dRRXPl+DWAwVPDp35Va/c0xFZ4ivKpa1wrxr9qrwK/ja603Thpbsb7TrvTFvIFJkRbjYHQdQPuKwyP4T2Br2Wis80wCzPBSw7lyp219Gn+hWFxDwtdVEr2v+Qy2hFvbx26kkIgUE+wxT6KK9A5wooooA8W+I3w+PiP8AaD06UaZJEJLzTb2S6gU/vRZyrMpYnIwGXacY4YdyDXtNFFefgcAsFUrTUr+0k5el0tDor4h14wVrcqsFFFFegc55R+1H4bfXLTR54tJM0iNcW8dxGjM8ZmVF2jHHzbR1HVRXongvQU8K+DtJ8Lxu7LpumQWqtIQWIjjVMnHGeO1adFefQwCoZhWxXNd1FFW7cqt+J0VMQ54eFK3w3/EK4T44/sx/AH9pa30W0+PPwp0jxTH4d1RdR0VNVgLi1uQMb1wRkEYypyrYGQcCu7ortnCFSLjNJrs9RYXFYrBV1Xw9RwmtpRbi100as1poR/ZLUNuFtHnPXYKkooqzAKKKKAIr1ZHs5UhjV3MTBEY8MccA+1eQfsteAE8Oanq+uR2E1oi6faaVDaspCRpbtMwUZGcjzdp57DvXslFefiMAsRj6OJcrez5tO/MrfgdFPEOnh50rfFbX0dwooor0DnCvF9L+H5uv2nTrZ0yS2Fhqc2qM0KnZMz2b2oZic5ysnbHKexFe0UV5+OwCx06MnK3s5qfra+h0UMQ6Cmkr8ya+8KKKK9A5z8qrj436toHwh+F+seKPjpf+HPHuq/FqSHxndy6lbWl7BeGe7GswTebkW8cMbuowBsUW4H313e8+AJvAnxq1q68LaB8epvHOpahbJa3EzeKLfUbmzti+DtEQxGmWJJYYz3r6f8Pfsu/s9+FPjhrX7Sfh34SaNaeOvEVktprXiaK3/wBJu4QIxtY5wM+TFkgAtsXJOK7qO3giO6KFFPqqgV8LT4PxVnGpinyuV7JOz1vd67v0evc+3zziXK8bXVTBYflvzNtqKalNtuMeW/uQ+GOzau7Rvyp9FFFfdHxAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFeP/tm/t1fs5fsEfD7T/iT+0d4ovrGx1bVDYaZa6Ro1xqF3cyrDJPKyQW6NIUighlmkfG1EjZiRXsFfA/8AwW48OfEvQPEXwb/aP8H/AAW8V+PdI8Hr410bXND8F6JJqV8k2t+GbvT7Kb7PHljF9pKRO/SNZ9x4BoA+6fCvijw9448L6b418I6xBqOk6xYQ3ul6havuiubeVBJHKh7qyMrA+hq/XkX/AAT/APhN4z+A37C3wc+CfxFj2a/4T+GGhaTrcW8N5V3b2EMUseRwQrqy577a9doAK5n4zfF7wN8AvhVr/wAZ/iXf3FtoPhvTZL7U5rSxluZREgyRHFErPI5OAqqCSSAK6auQ+P3xA0r4V/BPxT8Q9b0TWtStdJ0S4nnsPDmjTajfTgIRtgtoFaSZznhFBJoAi/Z2+Pnw5/ak+B3hf9of4RX11c+GfF+kRalok97ZvbyvBJ90vG/zIeOh5rtK+Rf+CFOvale/8EtfhR4N8QfD7xb4Y1jwf4fj0HXNJ8ZeF7rSbpLuBVZykVyiNJF+8G2UDaxDAHIOPrqgApJJEijaWRgFUEsT2FLSSOI42kYEhQSQBkmgDxL9kr/goV+zH+2v4j8W+DvgZ4i1h9W8FS239t6X4g8N3ml3H2e5Dm2vIo7qNGmtphHIY5lBVtpx2z7dXwF/wSH+LOoftPftQfHv9rD4r/CD4jeDvHPiq8sdL0zQfGPw91DSLTSPCunS3MOm28VzcxJHd3MzSXF3P5ZIQ3CIOEyfv2gAooooA8Ruv+ChX7NGn/tj2X7C2pazrtr471OKY6W114XvI9Lvp4bVbyW0hv2jFvLcJbssrRK5ZVPODxXt1fnt8Z9O8U/E3/guj8HfFPwu+D/xcjvfANvrVl8Q9a8S6Vcf8IZHoU2kOYLvTZZC1uL2S7lhhLwbZisciSDaor9CaACiiigDyz9rD9sv4BfsVeE/DvjL9oDxVLplp4r8Y2HhfQUtrN7iW71K8crDEqICcfKzM3RVUk16nX5ff8HB/wAEv22PiT4m8BfED4F/svL8TfCnhOXRms4bTxMLW60rXJPE+lyvcfZVglkuFa2tEtzMNq20VzcytuVWWv0706a9uNPgn1GzW3uHhVp7dZd4icgFlDYG7ByM4GcUATUUUUAeaftYftXfCv8AY0+FA+MXxetteuNNk1qy0m1svDGgT6pf3d5dzCGCGG2t1aSV3dgoCgnmup+EnxL0f4yfDTRPin4f0TW9Nstd09Lu2sPEmjTadfwIw4Se2nVZIHHdHAIrwr/grD4Q+EPjL9lD7J8cfB3xd1jw/Y+K9M1GQ/A+1uJfENjcW8plt7qEW379VSZY8vD86kqeFDEan/BKZf2k0/4J3/Cdf2vG1k/EL/hGF/t4+JGzqW3zpPs32s9ftP2byPNzz5m/POaAPoOiiigCtrOsaV4e0i78Qa7qENpY2NtJcXl3cSBY4YkUs7sx4ChQST2Ary79kH9tj4D/ALcngS++JP7P9/rdzpFlfi3W51vw1d6b9rRo1kiurcXMaGe2lRg0cyZRxnB4Iq7+2t8NfF/xn/Y3+LPwf+HxH9veKvhprukaJl9oN3c6fPDCMnp87rzXx/8A8G9Hhr9ofwj8FvG/h74m6b8WbHwXY3Hh608Fad8ZVnXVLW+i0O1j1uOBbj94lguoK6wKP3QVW8v5MUAfobRRRQAV8+fCP/gpd+zz8ZP2stU/Ys0Tw18QdI8caZY6jfeV4p+H2oaZZ3trZXKW09xbXNxGsdxF5kiBZIyVcMCCcivoOvlD9nPwP4z+I3/BVD4+ftN+NPCeqWGk+E/C/h/4b/D+61LT5YEvYFR9W1S5tzIoEsTXN3bw+YmVLWZGcqaAPq+iiigArwL41f8ABTD9kj9n79qHwz+yD8S/Gep23jHxQ+npara+H7q4sbJ7+eS3sEu7uNDFatczRSRxCRgXZSBXvtflB/wUj+Dfxx8Vf8Fmvh/438O/Anx1q80eofDtvAOs6BoUk3hmW1tNav5tffXZVHlebbWssctoZzujd90PzE0Afq/RRRQB/9k=", 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", "info": {"equation": "71+47=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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8E2Xh/RYdft549OsFbYJJLOEu5LEsxJxySeAB0AFfRdebw1BwyOgr30v97b/A+g8S+IsNxZxxjM1oUvZQqSVo6X92MY3dtOaVuaVr6t6vc+Ov+C83iT4seGP+CZPjy7+Est7FJcPZ2viCbT48yJpUs6pc5I5VGUhHI/gds8EmvzK/4IleNviFqvgH4r+BtY8S3c3hnRfB15caJp8s4MVlczgfaXjHVN4igJ/hymeu7P72eKPDHh7xr4a1Dwd4t0e31HStWspbPUrC7jDxXMEqFJI3U9VZWII9DXyd+0D8CvhD+zj4S074UfA7wDYeG/D1l4C8SS22l6chCK8ktq7uSxLMxY9SSeg6ACvC4tyurUTxyqWjGKTj395fhrf1S+X0fDfHeBwfh3iOFZYVOrWrKoqumiSi358y5OVW05Zy1VrS9U/ZC8d6l470kanZeOn8S6OdLiWLWP7QW6SaVMJkSp8jMdrbsdxyM5r2uq+kokel26xoFHkJwBjsKsV9VleCnl+DVGdRzd27vfV37v8AM/KsVXjiKzmo8q7I5n4033jfS/g54s1P4Z2zzeJLfwzfy+H4Y4RIz3y27mBQrcMTIEGDwelfzr/8EkPi38Q/Dv7c91qniP41ap4Uj8QadqR8b65JrMVlNO2GmAlmuAcO10IyR94nPbNf0nVwXwt/Zc/Z6+CfjLxT8QvhT8JNG0LWvG18LzxTqNjbYk1GffI+98kgfNLI2FwCXJxmvNzvJa+a16M6dZ0+S+1769Va2vTfY/SeCeP8v4V4VzfKq+EVWWMhGMZaWi1dPmvrZc3NG200u91+fvxw0b4Iavolx8dfht44s/GnxXtPE+h/8Il4q/tm21fVxqyXSJY2UTAkLG4MwaBQFZGmkYEqXX9P6+Ofjz8DvhDr37d2nfGvWfh9p1z4r0LWPCtro+uSoxmtIXvBuVBnaM+Y/OM/McGvsauXhjCzwlXFQlNzana762W/XV319D5viLNaeOy7BUYuTcIybcunNypU46v3IKF4/DrKVordlFFFfWHyR+In/B074h+K8n7Qfw48JanJer4HTwhLd6QhjxbS6o1zIl0dw+/IsItBg/dVxjG85/VL/gnNrHxN1/8AYS+E+r/GKG5TxHP4HsDqIvIBFKf3QEbOoxhjGEJ4ByeQDmuH/wCCkXwT+E3xzk8FeHfi/wCA7DxDY2C6rfWlpqCsUjuEigCyYUjOAzDByDnkGve/gr/yRzwlwP8AkWbDoP8Ap3jr5fLqDhxJjJczekNPVfpbT1P1PiXjXB5x4b5RkVPDKE8NKo5T01u/s9feved95RT16dNXlf7Ufwo/Y/8AijZeF4v2udE8H3cFj4jifwn/AMJbexQKdSYHZHCZHXzXcD/VfMH2jKnAx6pX4bf8HRnij4uj9qzwD4Z1O6v4vBtr4M+2eHFClYG1FrmVbt1YfekVEtAe6grjG7n0c8x8Muy6VaUOdXSs9tX1/rexw+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+WH80/wCz78XPj/pX/BWv/hNvih8RdV8MeLdQ8fX1p431e4u4rKe0hZ3S6jZ5RshVY1KAdFCqF6LX6PftEaN+yv8AFH4b+L/iP4y+L1l478RaH4Sl/sjXr/xLbarqGiujGS1NkqHEMrXflbdq7pZNkZ3AhD7p8PPgf8I9J/4KC3Xxv0/4f6fF4u1jxpqtlqWvbGM89uulyhYzklQMRp90AnaM5pn/AAUR+Bvwg+JXxc0vxf49+HunarqfhTwc954du7uNibCc3RPmIAQpOUQjcDgqCMV+S1cprrLq9b28uWNVx5dbN8yXM9d9b7dNz+gOJvEjLeJOKsvxtHDPDKlQhF+ztzNxTk4LVLkv7iu9I6uL+A+qfhLeeMdR+FXhnUPiLbND4gn8P2UmuwtGEMd40CGZSo4UiQsMDgV0FFFfrMVyxSPwOtUVWrKaSV23ZbK/ReSCvPv2kdIGp+CLS4OmC4Njqsdwr7STAdkibxj2crzxhjXoNFcuPwn17BVMPzcvMmr9isPV9hWjUtezucv8FvCR8D/C3RvDLGXdBbF2E+N4aR2kIOAMYLkY9q6iiitqFJUKMaa+ykvuVjOcnObl3CsX4kaWNc+H2uaI+nLeLeaTcQSWrg4mV42Vk455BI4raop1Ye1pShe10194QlySUux5j+zH4TbRND1jxFIJlbWdRSTbKMDEUKRArxnB2+/NenUUVz5fg1gMFTw6d+VWv3NMRWeIryqWtcK8a/aq8Cv42utN04aW7G+0670xbyBSZEW42B0HUD7isMj+E9ga9lorPNMAszwUsO5cqdtfRp/oVhcQ8LXVRK9r/kMtoRb28dupJCIFBPsMU+iivQOcKKKKAPFviN8Pj4j/AGg9OlGmSRCS8029kuoFP70WcqzKWJyMBl2nGOGHcg17TRRXn4HALBVK01K/tJOXpdLQ6K+IdeMFa3KrBRRRXoHOeUftR+G31y00eeLSTNIjXFvHcRozPGZlRdoxx820dR1UV6J4L0FPCvg7SfC8buy6bpkFqrSEFiI41TJxxnjtWnRXn0MAqGYVsVzXdRRVu3KrfidFTEOeHhSt8N/xCuE+OP7MfwB/aWt9FtPjz8KdI8Ux+HdUXUdFTVYC4tbkDG9cEZBGMqcq2BkHAru6K7ZwhUi4zSa7PUWFxWKwVdV8PUcJraUW4tdNGrNaaEf2S1DbhbR5z12CpKKKswCiiigCK9WR7OVIY1dzEwRGPDHHAPtXkH7LXgBPDmp6vrkdhNaIun2mlQ2rKQkaW7TMFGRnI83aeew717JRXn4jALEY+jiXK3s+bTvzK34HRTxDp4edK3xW19HcKKKK9A5wrxfS/h+br9p062dMkthYanNqjNCp2TM9m9qGYnOcrJ2xynsRXtFFefjsAsdOjJyt7Oan62vodFDEOgppK/MmvvCiiivQOc/Kq4+N+raB8IfhfrHij46X/hzx7qvxakh8Z3cupW1pewXhnuxrME3m5FvHDG7qMAbFFuB99d3vPgCbwJ8atauvC2gfHqbxzqWoWyWtxM3ii31G5s7Yvg7REMRpliSWGM96+n/D37Lv7PfhT44a1+0n4d+EmjWnjrxFZLaa14mit/8ASbuECMbWOcDPkxZIALbFyTiu6jt4IjuihRT6qoFfC0+D8VZxqYp8rleyTs9b3eu79Hr3Pt884lyvG11UwWH5b8zbaimpTbbjHlv7kPhjs2ru0b8qfRRRX3R8QFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXj/7Zv7dX7OX7BHw+0/4k/tHeKL6xsdW1Q2GmWukaNcahd3MqwyTyskFujSFIoIZZpHxtRI2YkV7BXwP/AMFuPDnxL0DxF8G/2j/B/wAFvFfj3SPB6+NdG1zQ/BeiSalfJNrfhm70+ym+zx5YxfaSkTv0jWfceAaAPunwr4o8PeOPC+m+NfCOsQajpOsWEN7peoWr7orm3lQSRyoe6sjKwPoav15F/wAE/wD4TeM/gN+wt8HPgn8RY9mv+E/hhoWk63FvDeVd29hDFLHkcEK6sue+2vXaACuZ+M3xe8DfAL4Va/8AGf4l39xbaD4b02S+1Oa0sZbmURIMkRxRKzyOTgKqgkkgCumrkPj98QNK+FfwT8U/EPW9E1rUrXSdEuJ57Dw5o02o304CEbYLaBWkmc54RQSaAIv2dvj58Of2pPgd4X/aH+EV9dXPhnxfpEWpaJPe2b28rwSfdLxv8yHjoea7SvkX/ghTr2pXv/BLX4UeDfEHw+8W+GNY8H+H49B1zSfGXhe60m6S7gVWcpFcojSRfvBtlA2sQwByDj66oAKSSRIo2lkYBVBLE9hS0kjiONpGBIUEkAZJoA8S/ZK/4KFfsx/tr+I/Fvg74GeItYfVvBUtt/bel+IPDd5pdx9nuQ5tryKO6jRpraYRyGOZQVbacds+3V8Bf8Eh/izqH7T37UHx7/aw+K/wg+I3g7xz4qvLHS9M0Hxj8PdQ0i00jwrp0tzDptvFc3MSR3dzM0lxdz+WSENwiDhMn79oAKKKKAPEbr/goV+zRp/7Y9l+wtqWs67a+O9TimOltdeF7yPS76eG1W8ltIb9oxby3CW7LK0SuWVTzg8V7dX57fGfTvFPxN/4Lo/B3xT8Lvg/8XI73wDb61ZfEPWvEulXH/CGR6FNpDmC702WQtbi9ku5YYS8G2YrHIkg2qK/QmgAooooA8s/aw/bL+AX7FXhPw7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"info": {"equation": "71+47=118", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "8884fb6e29c6343e74b70a012402f134ef710fa92e581a8998814a390a8743cd"} +{"episode": 30655, "episode_seed": 3702140672, "split": "train", "timestamp": "2025-10-28T03:46:25.932369", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3702140672, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 6, 0])", "action": "('move', [2, 0, 6, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "4+1*3=7", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", "info": {"equation": "4+1*3=7", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "fc7186ebc1caa724cb607256dd45de9537b4fef3028c0e5b7e8e666895b3b47f"} +{"episode": 30656, "episode_seed": 1398319324, "split": "train", "timestamp": "2025-10-28T03:46:25.975844", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1398319324, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 5])", "action": "('move', [2, 7, 1, 5])", "reward": 0.0, "image": 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", "info": {"equation": "49-44=5", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", "info": {"equation": "49-44=5", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "3cb36f25efa52631000dd44ed9de5d7fb3f05f5b1576fe7b8ddd7135547af844"} +{"episode": 30657, "episode_seed": 2587702090, "split": "train", "timestamp": "2025-10-28T03:46:26.030929", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2587702090, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 1])", "action": "('move', [5, 6, 1, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "190/10=19", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "190/10=19", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "e39977626fff8770ae77cadd2fb857d24a5068fc60ca13fb8fa5fe9191c060af"} +{"episode": 30658, "episode_seed": 2518647540, "split": "train", "timestamp": "2025-10-28T03:46:26.087811", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2518647540, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 8])", "action": "('move', [3, 1, 2, 8])", "reward": 0.0, "image": 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", 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", "info": {"equation": "20*6=120", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "20*6=120", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "5f7dc0ef60bc7a294cf9eb35cfda8d32985f477e927354b9a39e2853ab44404b"} +{"episode": 30659, "episode_seed": 3735404157, "split": "train", "timestamp": "2025-10-28T03:46:26.172747", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3735404157, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 4, 8, 5])", "action": "('move', [9, 4, 8, 5])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "19+8*10=99", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "19+8*10=99", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "1030bb5748e119fbe5976c52e3edc6ef716bf25378d41e2535efeafd116ebb6e"} +{"episode": 30660, "episode_seed": 964870907, "split": "train", "timestamp": "2025-10-28T03:46:26.235026", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 964870907, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 0, 6])", "action": "('move', [5, 4, 0, 6])", "reward": 0.0, "image": 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", "info": {"equation": "8*12=96", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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"info": {"equation": "8*12=96", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "bcb6202fe6bfa1cae08b26dee0fe3462f2c17bf806773b5fb0b042eb500eeb44"} +{"episode": 30661, "episode_seed": 790628307, "split": "train", "timestamp": "2025-10-28T03:46:26.300632", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 790628307, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 6])", "action": "('move', [0, 0, 8, 6])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "14*17=238", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 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": "14*17=238", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "bd2e780ba3ed4d7fa78b392275bf9abac2a8f3fe301a38e7fc89ada38053647f"} +{"episode": 30662, "episode_seed": 4025658263, "split": "train", "timestamp": "2025-10-28T03:46:26.366109", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4025658263, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 0])", "action": "('move', [0, 1, 2, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "6+71*1=77", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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"info": {"equation": "6+71*1=77", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "2882730c2d57441d639fa4009265d5540bee3a9e36345c2df917ee779fd6fe3d"} +{"episode": 30663, "episode_seed": 1936095102, "split": "train", "timestamp": "2025-10-28T03:46:26.441172", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1936095102, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 0, 2, 7])", "action": "('move', [3, 0, 2, 7])", "reward": 0.0, "image": 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", 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", 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Ffhj9urxT8VtB8CWFt4k8S3PiCLXdYRGM14kV3bCNW3EgAADhQM4BOSBS6t8GvhWv/BSCD43DwLYf8JbFrUGmxa9sbz0tDoTsYhztAJJ5AzgkZwcV+XUMrrwVOq68nH2/Ly+fNbm33+R+6cWeImX8ScRLH0cM6EY4SMHGNvfajfknZr91d8v2m4Rj7qfw/WVeJ/8ABSDX/if4W/YO+LHiH4NSXieJLTwRfSadLp6bp4v3Z8ySMdd6xb2BHIIyOQK9spssUU8TQTxq6OpV0cZDA9QR3Ffptem61GVNO101ftdbn4tlmMjl+ZUMVKCmqc4ycXtLlknyvydrM/nx/wCCJHjHxxPZ/FTwLdeI7r/hGbLwNf6ha6e0y+Vb30ohjknUHlWaOKME9MRrnoK/bX9kzxpqXjnwtLrUXjFvEOlPb2/2LWTercrcMFKsyyp8rk7RuK8Z9M14/wDHr9nX4Ifsy+DLL4f/AAD+GmmeFtGn0HxLfTafpURVHuJFsQ8hySSSFUdeAoAwABX1vZoiWkSooUCMYAGB0r4bIMlr4PNpxlWf7rlule0uaLt1+z00+4+/8SuL8Fxjn1fNcNh/ZwrvRO3MuRRjd20vK13Z9d3uSUUUV98fmR8nf8FwPEHxQ8Nf8ExPifqHwolvI72SwtrfUpbBN0iabLdRR3nTkIYGkDkdELHgZNfOn/BrdqvxFu/2SvHmla9Fcf8ACNWnjhT4dklgAQzPbIbpUbqwBEBI6AsfU1+gn7TWnWOsfs4+PtI1S1We1u/BupwXMD/dkje1kVlPsQSPxrgP+Cfvwv8Ah58GvhXr/wAOvhZ4Rs9D0Ow8Xy/ZNNsVIjjL2dm7H5iSSWZiSSTzXzlei3xRRqcz/hy06aP/AO2/BH6XgeL8JhvCrF8OPDJ1KmIhUVTTRKK073XLZdOWctuvu9fip/wdSeIfiivxj+Fnhi5kvE8Fr4aurvTwI8W8mqfaCk53D70iwi24P3RJx99q/auvlz/gpj8HPhd8ZtG8LaV8VfA9jr1rpUOrajp9vfqxSG6jt49kuARkjceDlTnkGr4ppupkdWztaz/FHP4WcU4bg7jbDZpiKPtYxU1ZWv70GrxvpdX+6583fCHxD8K/2jPgf8PtI/ac/aDtvHerT6FYX+p+D/FHjCyubU6l9j/eM9mmAzJvlIVshDzjKgj7E/4Jxajq+p/sb+EZdRvry6tIW1C38O3V8v7ybRor+4j018/xqbJLYq/JdCrZOc1k/tqfCb4bfGb9nzwn8P8A4peDbPWtG1DxBp5vNPugwSUpazOuShVuGUHg9q9J/ZasbLSv2cPA+l6ZaR29ta+GLOG2t4UCpFGkSqqKB0AAAA7AV5uS5fWwGeVIVKzqP2ad35y9XtbT1ODN88oZhkLpxg4OdZzUFbkgkpaQ1+056rlikoR1lf3e9rnfizBpk/w71Uas2IltiysFBIkBGzGe+7H510VeMfthfEi88O+DZfD/AIbtGu9T2LJBaL0muHby7aLODjdMyZOOBzyK93O8TDDZXVcle65Uu7lokfLYGnKriopaWd79ktTjf2Jdd8NeMvjX8QtXeMnUtHtrPStKeWOPDWSyTfaJIWDlmDXiSRSAquDaxdetfTNfMvhD4P3X7OHxi8B2nh6686Cz01tM1eeaSNWvbe6VWnlLeWMv9tijmwNnys/chT9NVx8NSVPL3hZK06TcZL53T+aZtma5sR7VO6mk1/l8gooor6E84/BL4M+Nf2lr3/g5Bm1HVV1OXxE3xW1HT7+Ka1BZNAVZYgNpGFhXT1RlYfwhWBJIz+9tfKVv8HfhdB/wUom+OEXgexHi6fXP7Nl18qxnNoPDYYRcnaBkDkAHjGcV9W183w5RdGGJTk3+9nv5W/PqfpfiXxhhOL6+XVKGHVFUcNSptK2rje9rfZW0U9UiO8tbS+tJbLULaOaCaNknhmQMjoRgqwPBBGQQa85/Za+Gf7K/w2+E0Ph39kbSPCsPg5r+4mhPhS8jurR7kviZvNR3DOGXafmJG0LwAAOJ/wCCqXiD4oeFv+Cd3xc174NyXia/b+EJzBLp8e6aK3LKt1IncFbczNuHK43DkCvyT/4IW/GXWvDfgvx94I8W/tOal4J8NWt9Z3WjWEXiu20+KS8lWRbl1EwJY7IrfOOBgdzSzjPsPlGOpwqUnK8W7q11rsr+muvYvIOB8XnHhzmGe08XyQo1acXSu7T2XM1e117T3NHpz7H71qqooRFAA6AClry39lvxhqXjbwzc62PFTa5pkohbT9W+1rcJcfKQzJIvyuDhSSvGSa9Sr2MuxsMxwccRGLSlfR76Nr9D84xNB4as6bd7H5v/APBzpr/xP0r9hjQNK8ISXieH9T8c28Pi1rZMo8SwyyW6SkdEM6I3oXRO+AfEv+CbXxJ8M/Er9gXQPh1+0j+1HdLp8n2nSv8AhDNU8c21rbT6THJ5cNrJASshhZQU2lhuT5fukV+rP7Qvg34FeP8A4N654U/aXstDn8D3Nuh19PEl0kFkI1kV0aSR2UR4kVCG3DDAYOa5X44eAPhSn7FXiD4e+D/Dukt4PbwE+n6bYWAVrR9NNt5aRxlDgxmIgAg8g5B7185nORYjF42pioYhwXJsr30vpuvdf530P1HB8d4Wl4d4Xh/6q1Up4l1fbK3b7L0ftFfuvdjHXt53/wAEz9I0fwq/xZ8FfDvTLez8FaZ4/QaFaWFrHHZ215JYW0mow2/l8bFuWJZRwkrSIMbSq/UVeH/sDfDfwH8Ivg/qnw6+GXhW00TQ9M8VXSWGmWSkRwhooXbGSSSWZmJJJJJr3CvZyCLhkuHV7+6n9+v4bHwfEuMp47PK1aF7XSu/ilypR5pWb96duaWr95vV7v8AEH/g6S8UfFaH9p74a6BdXN7F4TtPBz3mggJiA6m13It0yn+KRY0s8g/dDLj7xz9K+CdW+DH7Rvwt8F6Z+03+0BZ/EDUW0O11DUvC3irxjZXVrHqJsSLiU2qFRvjWS4xnIjBZhgqGH3p8YP2cvgb8f7rw9efGf4Y6V4jl8J6ymq+HX1KEubG7TBEi4Iz0GVOVO0ZBwK82/wCCg3wd+F3xo+GXhrwF8VfA9jrmj3HjOKWbT7xWCO6WN6yE7CDwwB618znuQ4lfWsaq7UWr8qvrZbPVadt9D9Gn4g5fmXDuSZLGg6M8I5qVWFub35b01eLu1rK8o3l1saf/AATnu9bvP2KPh+2tSXTxxaTJBo0t7AI5JdJjuZY9OcgcHdZLbMG/iBDHk17XXGfs429vZ/s+eBrS0gSKKHwhpqRRRqFVFFrGAoA4AAGMV2dfaYOHs8HTje9opX+R+WZrio47NK+JjHlU5ylbtzSbt02vYK8h/ae8CN441LRdM/s5z9sguNPF5ACZI1maMuo6gcIG5H8B7A169RWWZYFZjg5Ydy5U2tfRp/oc+GrvDVlUSva/4qwUHpxRRXcYH5a6T8cb3RNI+Dcvib9oXUfC/ifWtf1wfEG6fWLWxuxMIbuTUIrgy58gR6gtvGEAGMIo44r6e/Zbj8I/Ef4h2PiLwr8Un8YHTNUkvdS1pdbh1CRpvsjwIk0sXyjCOoC8HAH4+6+Dv2bfgR8P/ir4m+OHgz4W6Tp3izxkIh4m1y3gxNfiMYXfk4HQE7QNxALZIzXaxxRRAiKJVB6hVxXxeD4UxNCvCdTEtxjPm5bOzs7p77vq7H2PEHEOW5hXcsHh+RSi7tpJ3lKUmrR+zHm5I6q8Yp2jflTqKKK+0PjjyP8Aao8EnxtBpOmDTnc3UV3p4uoFJkiFwIwyjqBnYDyOqfWvW40Ecaxg8KABmlorgw+BVDG1sRzX9py6duVW/E3qV3UoQp2+G/zuwooorvMDE+JOljW/h9rejNp63a3elTwvasDiVWjKleOeQT0rl/2a/DL6B4IvdQkEobWNXe9KyjGP3MUIxx0IhB59T2xXodFcM8Cp5jDF83wxcberTv8Agbqu44Z0bbtO/oFfHv7bfjO30L9p9rL4meLJdK8L2/wbvLrR2uZEitnmN241OVWbG+aKBLD5TnakpOPmNfYVcV8af2cvgZ+0XaaNYfHD4Y6V4mh8PaxHqujR6pCXFrdxghZFwRngnKnKt3BwKwzrL6maZfLDwlyt216aO+p6vD+PwOX5hz4yLdNxcXypOSv1jzWV76PVaNnw/wDsy/F/R/iD8Nvh/N49/aouvE/ii50GyuJvDup+L7OZvt7Ww34tYgGEq7nGwfdyRjivvX4UeGB4L+Geg+FA0h/s/SoIT52N+Qg64A5rdW1tkbetugYdCEGafXLlGSVctrzrVa7qOSS1WyWvVsxzTM6eYVHKnSVNOTlZbK/RaLRbBXOaj8NtL1H4gWnj+W6cS20O024QbXYZCtnqMAnj2Hoc9HRXsV8NQxKiqsb2akvVbM8ynVqUm3F2urfJnOeMPhvpfjDX9L1+8unjbTZdzRqoImUEMFJ7fMBz6Ej3HR0UUUsNQo1Z1IRtKbTb72Vl+ASq1JxUZPRbBRRRW5B5Engdr39qMeITpzwC0nOoNLEp2zsbA2isxOf4WxxjmMehz67RRXDgcCsCqiUr885T9Obp8jevXddx0typL7iO7tLW/tZbC+to5oJ42jmhlQMkiEYKsDwQQcEGuP8Agh+zt8EP2bfAqfDP4F/DTS/DWhJdy3Q03ToSEM0hBeQliSScAZJ6KAOABXaUV2OEHNSa1XXrqEcTiYYeVCM2oSabjd8rcb2bWzau7N7XdtxFVUUIigAdABS0UVRgfm//AMHOmv8AxP0r9hjQNK8ISXieH9T8c28Pi1rZMo8SwyyW6SkdEM6I3oXRO+AfIP8Aglr8a7bXP2I/C2gfGr9rK8s/s01xp9n4V1HxraW8J02KTy4IGgfEnllQVAJBKgAcYr9W/i58Ifhn8efh5qXwn+MPg2y8QeHNXjRNS0m/QmKcK6yLnBBBDqrAgggqCKv+EPAvg7wB4U0zwN4L8NWem6Ro1hDZaXp9rCFjtreJAkcajsFVQB9K+UzPh3FZhmMsRDEOmnFLS9/TdadfU/T4ce4CPhrR4aeETq068qvtNLNOLS6X5tbPpyxjr25b9nHww/hzwFNdSiUPq2qS3zLKMY3KiDAwOCIwefX0xXfUUV9DgsMsHg6dBO/Ikr97I/Na9V1q0qjVru4V55+0lpL6n4Mspk0z7QbPVkmRgpLQsY5IwwA9RIV5/vV6HRU5hhFj8FUw/Ny8ytfsPD1vYV41LXszE+GvhxfB/wAO9B8Jo0hGmaNbWoMuNx8uJU5wAM8Vt0UV004KnBRXRWMpPmk2FFFFWIKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK8b+O37e37MX7N/wAd/Af7OHxa8cz2Hir4jXAi8P20OlzzQx75kt4Xupo1KWqS3EiQRtKVEkrBBk17JX5nf8FVfgn8b/GP7f3h3TPAnwe8Ua9Y/FPw54C0TS/Euj6S89h4fuNB8cprd/JfTL8ton2JjJGz4EjxFFy2BQB+mNFFFABXl3gD9sT4G/Ez9p3xt+yH4Q1nUJ/Gnw+0qy1DxNbS6RPFbRQ3WfK8ud1CTHj5ghO08E5BA9Rr4u8D/FaO7/4LpeN/Di/Cz4gxWknwN0fQIvFNz4Ev49Dlv7a+v9QljTUTH9ncCC8gAIbBk3xj5kIoA+0aKKKAGTzxWsD3NxIFjjQs7HoABkmvIf2Rv27P2dv23bPxPcfAfXtWmn8H6tHYa/p2veHrrTLu3aWITW83k3UaOYZomEkUgG115FevXEy29u9w6MwjQsVRckgDOAB1PtXxD/wRu+J2oftD+Jvjp+1J8Rfhb4/8IeOvHvji2m1XQfGvgS+0aLS9GtIpbPR7K3kuokW9dbaB555Y8hZbwrwAuQD7hooooA5n4yfFrwj8CfhfrXxd8djUG0nQbI3N3FpGlzX13KMhVjht4FaSaRmZVVEUszMABWP+zH+0t8Jf2vfgno/7QHwR1i6vfDutm4S2a/0+W0uIZoJ5LeeCaCVVeKWOaKSNkYAhkNR/tX+K9D8F/s3+M9e8UeGfGur6WNCmt9Tsvhxbzy679mnxBLLZLbMs3nRpI0qmE+avl5TLAA+K/wDBFLwN4++HH/BOjwb4U8feDte0Ex6vr0+gad4ssvs+sDR5tYvJtPk1BCAwvHtXhklLjeXcl/mLUAfVlFFFAHnH7Wv7V/wT/Yj+AGvftMftDeJJdK8J+HFgOo3VvaPcSlpp44IkjiQFpHaSRFCgZ5z0FehWV3BqFnDf2xJjniWSMkYJVhkfoa/P/wD4OMfgx+1J8bP2MBov7PnwJ/4WJpWl2mtX/ijQLbWBbXaSf2VPb2V1BCIpXvnhkuJJltUUNJJHFhlK8/c3wquvFF98L/Dd7438NJoutTaDZvq+jxXouVsbowoZYBMFUShH3LvCru25wM4oA36KKKAPHfiZ+3B8HfhZ+1D4Y/ZD1jw/4z1Hxf4q02DULVvD3gy9v7CwtZriW3jmvbqFGjs4zJDIN0pUfL1r2KvgH/god4S8Y/8ADy34E+OP2fPCnxph+I8uueH7DVdc8OwTjwZceD49QvJdXt9UkT9yZUhlkZEm+bfJAYsnfj7+oAKKKKAPJvBf7a/wB+IX7UfiX9kDwhrmp3vjDwjYrPrzxaDc/wBm28hSGRrT7ds+ztdLFcQSNAH3qkqsR1x6zX5i/sM/Bj9qX4P/APBa34uxS2PxOt/COv8AiTxb4g8Vy6qZ/wDhELywvV0aTQpLDd+5a/Eg1GOYp+8CQ7X+UR1+nVABVfV9Th0XSbrWLmGeSO0t3mkjtoWkkZVUsQiKCXY44Uck8CrFFAHiP7G/7fnwM/bjl8XWXwh0Xxppd94Hv7Wz8SaV448F3miXdrLcQmeEGG7RHO6PD9OjKejDPt1fMP8AwS68GeLv+EH+KX7Q/wARPC2p6Rrfxc+NfiHxALHWrGS2u4dLt510rTEkjlAdAbHTreRQQOJcjgivp6gArif2jf2hfhd+yp8Ftd+P3xm1e4svDnh6COS+ls7GS6ndpJUhiiihiDPLLJLJHGiKCWZ1A6121fMn/BYvwl408c/8E5/iF4X8D+C9Z8QTXDaS2p6X4bsmuNUbS01azk1CSxjUFjeR2i3EkJT5xLGhT5gtAHsP7Nn7Rnws/ay+C2i/Hz4MatdXnh7XVnFq1/p8tpcQywzyW88E0Eqq8Msc0UkbowBVkIruq+X/APgjd4S8X+CP+Cefgvw74v8ABWu+HxHqeuy6Jp3iuya31f8AsmXWb2XT5tQRwHF5LaPBLMZP3jSSMz/MWr6goAK8d/bE/bx/Zp/YQ8OaD4o/aR8ZXWlW3iPVmsNMWw0me9kOyJpp7h0gRmjt4IlaSWZgEjQZYjIr2Kvzx/4OIfgJ48+MX7P/AIZvvgunxBPjxk1/wt4ch8D+BRrsN/HrmlyWNxY32XX+z4Jl2D7ecrBsJIyy0AfoXb3EF3bpd2sySRSoHjkjYFXUjIII6gin1gfCrwtfeBvhf4b8E6pcrNc6PoFnY3EynIkkigSNmBPqVJrfoA//2Q==", "info": {"equation": "18+16*1=34", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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Ffhj9urxT8VtB8CWFt4k8S3PiCLXdYRGM14kV3bCNW3EgAADhQM4BOSBS6t8GvhWv/BSCD43DwLYf8JbFrUGmxa9sbz0tDoTsYhztAJJ5AzgkZwcV+XUMrrwVOq68nH2/Ly+fNbm33+R+6cWeImX8ScRLH0cM6EY4SMHGNvfajfknZr91d8v2m4Rj7qfw/WVeJ/8ABSDX/if4W/YO+LHiH4NSXieJLTwRfSadLp6bp4v3Z8ySMdd6xb2BHIIyOQK9spssUU8TQTxq6OpV0cZDA9QR3Ffptem61GVNO101ftdbn4tlmMjl+ZUMVKCmqc4ycXtLlknyvydrM/nx/wCCJHjHxxPZ/FTwLdeI7r/hGbLwNf6ha6e0y+Vb30ohjknUHlWaOKME9MRrnoK/bX9kzxpqXjnwtLrUXjFvEOlPb2/2LWTercrcMFKsyyp8rk7RuK8Z9M14/wDHr9nX4Ifsy+DLL4f/AAD+GmmeFtGn0HxLfTafpURVHuJFsQ8hySSSFUdeAoAwABX1vZoiWkSooUCMYAGB0r4bIMlr4PNpxlWf7rlule0uaLt1+z00+4+/8SuL8Fxjn1fNcNh/ZwrvRO3MuRRjd20vK13Z9d3uSUUUV98fmR8nf8FwPEHxQ8Nf8ExPifqHwolvI72SwtrfUpbBN0iabLdRR3nTkIYGkDkdELHgZNfOn/BrdqvxFu/2SvHmla9Fcf8ACNWnjhT4dklgAQzPbIbpUbqwBEBI6AsfU1+gn7TWnWOsfs4+PtI1S1We1u/BupwXMD/dkje1kVlPsQSPxrgP+Cfvwv8Ah58GvhXr/wAOvhZ4Rs9D0Ow8Xy/ZNNsVIjjL2dm7H5iSSWZiSSTzXzlei3xRRqcz/hy06aP/AO2/BH6XgeL8JhvCrF8OPDJ1KmIhUVTTRKK073XLZdOWctuvu9fip/wdSeIfiivxj+Fnhi5kvE8Fr4aurvTwI8W8mqfaCk53D70iwi24P3RJx99q/auvlz/gpj8HPhd8ZtG8LaV8VfA9jr1rpUOrajp9vfqxSG6jt49kuARkjceDlTnkGr4ppupkdWztaz/FHP4WcU4bg7jbDZpiKPtYxU1ZWv70GrxvpdX+6583fCHxD8K/2jPgf8PtI/ac/aDtvHerT6FYX+p+D/FHjCyubU6l9j/eM9mmAzJvlIVshDzjKgj7E/4Jxajq+p/sb+EZdRvry6tIW1C38O3V8v7ybRor+4j018/xqbJLYq/JdCrZOc1k/tqfCb4bfGb9nzwn8P8A4peDbPWtG1DxBp5vNPugwSUpazOuShVuGUHg9q9J/ZasbLSv2cPA+l6ZaR29ta+GLOG2t4UCpFGkSqqKB0AAAA7AV5uS5fWwGeVIVKzqP2ad35y9XtbT1ODN88oZhkLpxg4OdZzUFbkgkpaQ1+056rlikoR1lf3e9rnfizBpk/w71Uas2IltiysFBIkBGzGe+7H510VeMfthfEi88O+DZfD/AIbtGu9T2LJBaL0muHby7aLODjdMyZOOBzyK93O8TDDZXVcle65Uu7lokfLYGnKriopaWd79ktTjf2Jdd8NeMvjX8QtXeMnUtHtrPStKeWOPDWSyTfaJIWDlmDXiSRSAquDaxdetfTNfMvhD4P3X7OHxi8B2nh6686Cz01tM1eeaSNWvbe6VWnlLeWMv9tijmwNnys/chT9NVx8NSVPL3hZK06TcZL53T+aZtma5sR7VO6mk1/l8gooor6E84/BL4M+Nf2lr3/g5Bm1HVV1OXxE3xW1HT7+Ka1BZNAVZYgNpGFhXT1RlYfwhWBJIz+9tfKVv8HfhdB/wUom+OEXgexHi6fXP7Nl18qxnNoPDYYRcnaBkDkAHjGcV9W183w5RdGGJTk3+9nv5W/PqfpfiXxhhOL6+XVKGHVFUcNSptK2rje9rfZW0U9UiO8tbS+tJbLULaOaCaNknhmQMjoRgqwPBBGQQa85/Za+Gf7K/w2+E0Ph39kbSPCsPg5r+4mhPhS8jurR7kviZvNR3DOGXafmJG0LwAAOJ/wCCqXiD4oeFv+Cd3xc174NyXia/b+EJzBLp8e6aK3LKt1IncFbczNuHK43DkCvyT/4IW/GXWvDfgvx94I8W/tOal4J8NWt9Z3WjWEXiu20+KS8lWRbl1EwJY7IrfOOBgdzSzjPsPlGOpwqUnK8W7q11rsr+muvYvIOB8XnHhzmGe08XyQo1acXSu7T2XM1e117T3NHpz7H71qqooRFAA6AClry39lvxhqXjbwzc62PFTa5pkohbT9W+1rcJcfKQzJIvyuDhSSvGSa9Sr2MuxsMxwccRGLSlfR76Nr9D84xNB4as6bd7H5v/APBzpr/xP0r9hjQNK8ISXieH9T8c28Pi1rZMo8SwyyW6SkdEM6I3oXRO+AfEv+CbXxJ8M/Er9gXQPh1+0j+1HdLp8n2nSv8AhDNU8c21rbT6THJ5cNrJASshhZQU2lhuT5fukV+rP7Qvg34FeP8A4N654U/aXstDn8D3Nuh19PEl0kFkI1kV0aSR2UR4kVCG3DDAYOa5X44eAPhSn7FXiD4e+D/Dukt4PbwE+n6bYWAVrR9NNt5aRxlDgxmIgAg8g5B7185nORYjF42pioYhwXJsr30vpuvdf530P1HB8d4Wl4d4Xh/6q1Up4l1fbK3b7L0ftFfuvdjHXt53/wAEz9I0fwq/xZ8FfDvTLez8FaZ4/QaFaWFrHHZ215JYW0mow2/l8bFuWJZRwkrSIMbSq/UVeH/sDfDfwH8Ivg/qnw6+GXhW00TQ9M8VXSWGmWSkRwhooXbGSSSWZmJJJJJr3CvZyCLhkuHV7+6n9+v4bHwfEuMp47PK1aF7XSu/ilypR5pWb96duaWr95vV7v8AEH/g6S8UfFaH9p74a6BdXN7F4TtPBz3mggJiA6m13It0yn+KRY0s8g/dDLj7xz9K+CdW+DH7Rvwt8F6Z+03+0BZ/EDUW0O11DUvC3irxjZXVrHqJsSLiU2qFRvjWS4xnIjBZhgqGH3p8YP2cvgb8f7rw9efGf4Y6V4jl8J6ymq+HX1KEubG7TBEi4Iz0GVOVO0ZBwK82/wCCg3wd+F3xo+GXhrwF8VfA9jrmj3HjOKWbT7xWCO6WN6yE7CDwwB618znuQ4lfWsaq7UWr8qvrZbPVadt9D9Gn4g5fmXDuSZLGg6M8I5qVWFub35b01eLu1rK8o3l1saf/AATnu9bvP2KPh+2tSXTxxaTJBo0t7AI5JdJjuZY9OcgcHdZLbMG/iBDHk17XXGfs429vZ/s+eBrS0gSKKHwhpqRRRqFVFFrGAoA4AAGMV2dfaYOHs8HTje9opX+R+WZrio47NK+JjHlU5ylbtzSbt02vYK8h/ae8CN441LRdM/s5z9sguNPF5ACZI1maMuo6gcIG5H8B7A169RWWZYFZjg5Ydy5U2tfRp/oc+GrvDVlUSva/4qwUHpxRRXcYH5a6T8cb3RNI+Dcvib9oXUfC/ifWtf1wfEG6fWLWxuxMIbuTUIrgy58gR6gtvGEAGMIo44r6e/Zbj8I/Ef4h2PiLwr8Un8YHTNUkvdS1pdbh1CRpvsjwIk0sXyjCOoC8HAH4+6+Dv2bfgR8P/ir4m+OHgz4W6Tp3izxkIh4m1y3gxNfiMYXfk4HQE7QNxALZIzXaxxRRAiKJVB6hVxXxeD4UxNCvCdTEtxjPm5bOzs7p77vq7H2PEHEOW5hXcsHh+RSi7tpJ3lKUmrR+zHm5I6q8Yp2jflTqKKK+0PjjyP8Aao8EnxtBpOmDTnc3UV3p4uoFJkiFwIwyjqBnYDyOqfWvW40Ecaxg8KABmlorgw+BVDG1sRzX9py6duVW/E3qV3UoQp2+G/zuwooorvMDE+JOljW/h9rejNp63a3elTwvasDiVWjKleOeQT0rl/2a/DL6B4IvdQkEobWNXe9KyjGP3MUIxx0IhB59T2xXodFcM8Cp5jDF83wxcberTv8Agbqu44Z0bbtO/oFfHv7bfjO30L9p9rL4meLJdK8L2/wbvLrR2uZEitnmN241OVWbG+aKBLD5TnakpOPmNfYVcV8af2cvgZ+0XaaNYfHD4Y6V4mh8PaxHqujR6pCXFrdxghZFwRngnKnKt3BwKwzrL6maZfLDwlyt216aO+p6vD+PwOX5hz4yLdNxcXypOSv1jzWV76PVaNnw/wDsy/F/R/iD8Nvh/N49/aouvE/ii50GyuJvDup+L7OZvt7Ww34tYgGEq7nGwfdyRjivvX4UeGB4L+Geg+FA0h/s/SoIT52N+Qg64A5rdW1tkbetugYdCEGafXLlGSVctrzrVa7qOSS1WyWvVsxzTM6eYVHKnSVNOTlZbK/RaLRbBXOaj8NtL1H4gWnj+W6cS20O024QbXYZCtnqMAnj2Hoc9HRXsV8NQxKiqsb2akvVbM8ynVqUm3F2urfJnOeMPhvpfjDX9L1+8unjbTZdzRqoImUEMFJ7fMBz6Ej3HR0UUUsNQo1Z1IRtKbTb72Vl+ASq1JxUZPRbBRRRW5B5Engdr39qMeITpzwC0nOoNLEp2zsbA2isxOf4WxxjmMehz67RRXDgcCsCqiUr885T9Obp8jevXddx0typL7iO7tLW/tZbC+to5oJ42jmhlQMkiEYKsDwQQcEGuP8Agh+zt8EP2bfAqfDP4F/DTS/DWhJdy3Q03ToSEM0hBeQliSScAZJ6KAOABXaUV2OEHNSa1XXrqEcTiYYeVCM2oSabjd8rcb2bWzau7N7XdtxFVUUIigAdABS0UVRgfm//AMHOmv8AxP0r9hjQNK8ISXieH9T8c28Pi1rZMo8SwyyW6SkdEM6I3oXRO+AfIP8Aglr8a7bXP2I/C2gfGr9rK8s/s01xp9n4V1HxraW8J02KTy4IGgfEnllQVAJBKgAcYr9W/i58Ifhn8efh5qXwn+MPg2y8QeHNXjRNS0m/QmKcK6yLnBBBDqrAgggqCKv+EPAvg7wB4U0zwN4L8NWem6Ro1hDZaXp9rCFjtreJAkcajsFVQB9K+UzPh3FZhmMsRDEOmnFLS9/TdadfU/T4ce4CPhrR4aeETq068qvtNLNOLS6X5tbPpyxjr25b9nHww/hzwFNdSiUPq2qS3zLKMY3KiDAwOCIwefX0xXfUUV9DgsMsHg6dBO/Ikr97I/Na9V1q0qjVru4V55+0lpL6n4Mspk0z7QbPVkmRgpLQsY5IwwA9RIV5/vV6HRU5hhFj8FUw/Ny8ytfsPD1vYV41LXszE+GvhxfB/wAO9B8Jo0hGmaNbWoMuNx8uJU5wAM8Vt0UV004KnBRXRWMpPmk2FFFFWIKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK8b+O37e37MX7N/wAd/Af7OHxa8cz2Hir4jXAi8P20OlzzQx75kt4Xupo1KWqS3EiQRtKVEkrBBk17JX5nf8FVfgn8b/GP7f3h3TPAnwe8Ua9Y/FPw54C0TS/Euj6S89h4fuNB8cprd/JfTL8ton2JjJGz4EjxFFy2BQB+mNFFFABXl3gD9sT4G/Ez9p3xt+yH4Q1nUJ/Gnw+0qy1DxNbS6RPFbRQ3WfK8ud1CTHj5ghO08E5BA9Rr4u8D/FaO7/4LpeN/Di/Cz4gxWknwN0fQIvFNz4Ev49Dlv7a+v9QljTUTH9ncCC8gAIbBk3xj5kIoA+0aKKKAGTzxWsD3NxIFjjQs7HoABkmvIf2Rv27P2dv23bPxPcfAfXtWmn8H6tHYa/p2veHrrTLu3aWITW83k3UaOYZomEkUgG115FevXEy29u9w6MwjQsVRckgDOAB1PtXxD/wRu+J2oftD+Jvjp+1J8Rfhb4/8IeOvHvji2m1XQfGvgS+0aLS9GtIpbPR7K3kuokW9dbaB555Y8hZbwrwAuQD7hooooA5n4yfFrwj8CfhfrXxd8djUG0nQbI3N3FpGlzX13KMhVjht4FaSaRmZVVEUszMABWP+zH+0t8Jf2vfgno/7QHwR1i6vfDutm4S2a/0+W0uIZoJ5LeeCaCVVeKWOaKSNkYAhkNR/tX+K9D8F/s3+M9e8UeGfGur6WNCmt9Tsvhxbzy679mnxBLLZLbMs3nRpI0qmE+avl5TLAA+K/wDBFLwN4++HH/BOjwb4U8feDte0Ex6vr0+gad4ssvs+sDR5tYvJtPk1BCAwvHtXhklLjeXcl/mLUAfVlFFFAHnH7Wv7V/wT/Yj+AGvftMftDeJJdK8J+HFgOo3VvaPcSlpp44IkjiQFpHaSRFCgZ5z0FehWV3BqFnDf2xJjniWSMkYJVhkfoa/P/wD4OMfgx+1J8bP2MBov7PnwJ/4WJpWl2mtX/ijQLbWBbXaSf2VPb2V1BCIpXvnhkuJJltUUNJJHFhlK8/c3wquvFF98L/Dd7438NJoutTaDZvq+jxXouVsbowoZYBMFUShH3LvCru25wM4oA36KKKAPHfiZ+3B8HfhZ+1D4Y/ZD1jw/4z1Hxf4q02DULVvD3gy9v7CwtZriW3jmvbqFGjs4zJDIN0pUfL1r2KvgH/god4S8Y/8ADy34E+OP2fPCnxph+I8uueH7DVdc8OwTjwZceD49QvJdXt9UkT9yZUhlkZEm+bfJAYsnfj7+oAKKKKAPJvBf7a/wB+IX7UfiX9kDwhrmp3vjDwjYrPrzxaDc/wBm28hSGRrT7ds+ztdLFcQSNAH3qkqsR1x6zX5i/sM/Bj9qX4P/APBa34uxS2PxOt/COv8AiTxb4g8Vy6qZ/wDhELywvV0aTQpLDd+5a/Eg1GOYp+8CQ7X+UR1+nVABVfV9Th0XSbrWLmGeSO0t3mkjtoWkkZVUsQiKCXY44Uck8CrFFAHiP7G/7fnwM/bjl8XWXwh0Xxppd94Hv7Wz8SaV448F3miXdrLcQmeEGG7RHO6PD9OjKejDPt1fMP8AwS68GeLv+EH+KX7Q/wARPC2p6Rrfxc+NfiHxALHWrGS2u4dLt510rTEkjlAdAbHTreRQQOJcjgivp6gArif2jf2hfhd+yp8Ftd+P3xm1e4svDnh6COS+ls7GS6ndpJUhiiihiDPLLJLJHGiKCWZ1A6121fMn/BYvwl408c/8E5/iF4X8D+C9Z8QTXDaS2p6X4bsmuNUbS01azk1CSxjUFjeR2i3EkJT5xLGhT5gtAHsP7Nn7Rnws/ay+C2i/Hz4MatdXnh7XVnFq1/p8tpcQywzyW88E0Eqq8Msc0UkbowBVkIruq+X/APgjd4S8X+CP+Cefgvw74v8ABWu+HxHqeuy6Jp3iuya31f8AsmXWb2XT5tQRwHF5LaPBLMZP3jSSMz/MWr6goAK8d/bE/bx/Zp/YQ8OaD4o/aR8ZXWlW3iPVmsNMWw0me9kOyJpp7h0gRmjt4IlaSWZgEjQZYjIr2Kvzx/4OIfgJ48+MX7P/AIZvvgunxBPjxk1/wt4ch8D+BRrsN/HrmlyWNxY32XX+z4Jl2D7ecrBsJIyy0AfoXb3EF3bpd2sySRSoHjkjYFXUjIII6gin1gfCrwtfeBvhf4b8E6pcrNc6PoFnY3EynIkkigSNmBPqVJrfoA//2Q==", 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", 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", "info": {"equation": "18+16*1=34", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "6ed31203a4ff294b92c97e784e314b0e5905a46ecd6eedfe519a8f74933ce39c"} +{"episode": 30664, "episode_seed": 220433725, "split": "train", "timestamp": "2025-10-28T03:46:26.506457", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 220433725, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 4, 0])", "action": "('move', [6, 4, 4, 0])", "reward": 0.0, "image": 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", 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", "info": {"equation": "27+27=54", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "27+27=54", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "d23195092df4ceefe36fdef6803e27b3446d8a81e7b57ef337a14e5d4795bef0"} +{"episode": 30665, "episode_seed": 2995296954, "split": "train", "timestamp": "2025-10-28T03:46:26.562224", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2995296954, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 0, 4])", "action": "('move', [5, 0, 0, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "60/5=12", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "60/5=12", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "5b4de9e449ab06d868bab49ad8398a80fc2fa2898f548451a5305b3e91c772cd"} +{"episode": 30666, "episode_seed": 4170035530, "split": "train", "timestamp": "2025-10-28T03:46:26.609454", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4170035530, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 5])", "action": "('move', [6, 0, 7, 5])", "reward": 0.0, "image": 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atNO14tX+R7nDGa08j4iwmY1KSqRo1ITcHtJRknb/AC8z8nf+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+iHzgVmeNJ9ftfB2rXXhSHzNUj0ydtNj2g77gRsYxg8HLY4PFadFJq6sVCXJNSte3R7M/mr/4Ji+Of2l7/wD4K7+BPFIl1i78b6r8QpE8btd2u+5a3lkddVM6uPk2wmctwNm3jBUCv6VK+I/gt8BPg14Y/bmi+OOgfDnTrbxdrnxL8T2+q+IERjcXEQj1UbSSSFH7uPO0DO0ZzX25XynCNB0MJWi5N2qSWvlbX59T9Z8X+OcFx3nOExWGwvsFToQi1pdu7dtPsxvaHW2tleyK8i/a0+EP7FXxX07w1F+2bofgq7trHWs+Fj4yv4rZftrgfuoTI6eYzhRmLkNtGVOBj12vwW/4ObvFPxlvv23NE8J+L5r9PB1h4Rgn8GwPHttWkkY/a5UI4eTzERWJ+YBIxwMZ9PPswhluXOrKnzq6Vnt8/wCt7HneE3COJ404yp4Chi3hpKM5+0i3zqytaFmtXfXVe7zPpY/eRbGxRQiWcQAGABGMAVKAAMAYA7Cvy7/YZ/aa1PW/2W/APiz42ftz6pbeJn0tZdRsNQ8f2MRCpM4hWSJhuGYViyGO45Jbkmv0C/Z217xD4i8M3WpatfyXdpJOr6fdySFxKrDcxVv4kyQQRxyfSuLLeJ8LmeMjh6dOSbTd3ayt6N/1bufK53w9XyTF16FSpGfspyheO0uWTjdeTtdeR6FRRRX0x8+Ffkf/AMHUnif4w2Xgr4WeFNLlv4/Ad9f382s+THi3m1ONY/sySuP4hE1wyIeDhiMleP1wrwD/AIKK/C74e/Gb4T+G/h38UvCltreiX3ja3N5pt2WEcpS0u3XJQg8MoPB7V4vEVJ1ckrpO1o3+7W3ztY+58NuJMNwlxtg81xFH2sKcneOl/ei43jfTmjfmje2q3W54L/wbfa38WNX/AOCcFra/EaC6XS7DxfqNv4KkubYIJNMxE7FGAzIgu3u13HupXoor75ryL9hfwt4c8D/s16V4M8H6Lb6bpWlaxrNrp1haptjt4U1S6VEUegA+vrXrtdGTQcMpoK9/cj+R5fGWcUs/4rxuY0qSpxq1JyUV0u+vm95Pq22FFFFekfNH86v/AAcE+LPjVqn/AAU08SaX8Q7jUU07R7DT4/AkM0ZSNNPaBHLwAcMGuTcZfkllKn7oA/er9lDV/ih4g/Zh+Hmu/G22uIfGN54K0ybxTFd24hlXUGtYzOHQcI3mFsqOhyK+Z/8AgpN8Bfg18XfivP4r+J3w507XNQ8LfDSS68P3N+jMbKbzrpt6qGCsd0aHDAj5Rx1r7TsSWsoWY5JiXJP0r5LJMO6We468m9Y/+TXf4bLyP17jvjvA8TcE5JldHCKlPCwcZS01aUY+7bW0rc87/a72u5a/Or/g5h8UfGLw/wDsIaZp3w9mv4vD2q+MLe28by2Ufym08t3hjmYcrG1wsXsWCKeoB/RWuY+NHhX4TeNvhP4g8LfHew0i58HXmlyr4kj16VY7MWgXc7Su5AjVQN2/I27QwIIzXv5lhZY3AVKEZcrkmr/107+R8TwVnlLhrizBZpVo+2jRqRk4dX6f3lvH+8kfiZ/wQ6+OfifR/hR4w8DePP2p9V8HeGdK1O2fwxpq+LbXT4vOmEzXZjWYFiMiEkD5QWJHLNX1Hq3gz4G+GPiR8Nfi9+znfabrHxL1P4xWP2PxTpl7Dqeqa0LmdE1pbicFjLEunPcPJ/DAqIVEeefvz9nP4ffs7/D/AODejeGP2YdI8Ow+B4UlfRB4auI7izcNK7SOkqMwkzIXy24nOeeK+W/AHwD+DOift4R/HrSfhxpsHjLUfilq1pe+IVRjcSQCyvV2cttUbY0BKgEheTyc/BYnIcTgHhOfEuSdSCS1tG/WOv3aI/Qc248wec8ZZlm0KEqEZqT9mkv3lko8tZXSSnrKppPVuKWvMvt+iiiv0s/FgrC+KGjr4h+HGu6BJpiXqX2kz28to4OJkeMqy8cnKkjit2is61P2tKUL2umr+pUJck1LseTfsweDZNKl17xtMJ1bVvstsFkXClbfzjuXjPWZgT0+Xtg16zRRXLluCWXYGGGUr8q32vrc1xNd4mvKo1a4UUUV3GB5x+0xo/8AanhHTrttLW4Gn6sLlJcEtbuYZYt4x6rK6knj562PgR4ObwH8K9M8Ov5wbfc3TrOAHVri4kuCpAAxgykAdQBzzXX0V5tPLlDNZ43mbcoqNu1nf+vmdMsS5YVULbO9wpk8EVzA9tOgZJEKup7gjBFPor0mk1ZnNscr8OfhXpfw7nvLm0v5Ll7ohUaRAvlxgkheOp55PfA4FN8Y/CTR/GXiqy8T3l7JGbYKJ4FQETqrFlGf4eTg9cj0611lFed/ZOXfVFhfZr2ad0td739d/wDLY6PreI9s6vN7z0uFFFFeic4UUUUAeE+Cvhu037Q66qdKks10bXNQ1VlhUiN5LiK5jLMWByHNy78EZPTgEV7tRRXm5Xlyy2jOClzc0nK78zpxWJeJmpWtZJfcFeffH39lP9nT9qW00ex/aE+EOj+LItAvjd6OmrQFvs0pADFcEZVgq7lOVbauQcCvQaK76lOnVg4zSafR6oWExeLwGIjXw1SVOcdpRbjJXVnZqzWjt6ES2NiihEs4gAMACMYAqUAAYAwB2FFFWc4UUUUAFeeftK6Kur+B7S4fSlufsGqpcrIQSbdhHInmDHs7Kc8YY16HR161yY/CfXsFUw/Ny8yav2NsPV9hWjUtezucb8AfCDeCfhZY6M4mDy3V5eyLOMMrXN1LcFcYGADLgA84AzzXZUUVphqCw2GhRTuopL7lYirN1akpvq2/vCiiityDwz9qT4d/8Jv4nTTF0mQNrmhNpLX1spMhR2kymTlRt8xmHHck5Ar3GCIQwJCDkIgXn2FOorzcHl0cJjK+I5ruq07drK3zOmtiXWo06drct/ncK/Or/g5h8UfGLw/+whpmnfD2a/i8Par4wt7bxvLZR/KbTy3eGOZhysbXCxexYIp6gH9Faw/iT8NvAfxh8B6r8MPif4WtNb0DW7NrXVdKvo90VxE3VSOo5wQRgggEEEA1rmOFljsDUoRlyuStf+unfyPe4Mz6hwvxVg82rUvawozUnHTVLtfTmW8f7yR+IP8AwQ6+OfifR/hR4w8DePP2p9V8HeGdK1O2fwxpq+LbXT4vOmEzXZjWYFiMiEkD5QWJHLNX6Y/sw6H4R+IHi/Q/Efgzxv8A8JFaaPrFzqN1rdtqkV79pumgnifzpkypc/aCSBg8DtXv/wAH/gf8JPgD8PbD4U/BvwBp3h/w7pnmfYdKsIcRxF3aRz8xJJZ2YkkkkmuojjjiXbFGqj0UYr5jB8KYijUozq4pyVNqXLZ2uuiu9Pu2Pb4640wnFfE2NzPDYVUo13otL2so3lZfFK3NLV+83q9x1FFFfaH56FFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXIfHz47/Cv9mL4N+Ifj78bfFUWieFfC2nNe6zqUqM/lRggAKqgs7sxVFRQSzMoAJNdfXyb/wW9+CvxP8Ajz/wTZ8ceDvg94SvPEOuafqeha9F4d06PfcapBpusWd9PbRJ/HI0NvJtTqzBVHJoA9k/ZL/a8+B/7a/woPxh+A2u3t1psGrXOl6nZatpU1hfaZf27BZrW6tp1WSCVcqSjAHDqehFenV8Xf8ABG3wt4/1CD9oL9pfxX8NfEng/R/jH8e9R8TeDdA8XaRJp+ojTBY2VolzPayYe3eWS2kbY4DbQpPUV9o0AFFFFAHjf7ZX7eP7Of7BvhfQPFv7ROv6nZWviXXYtJ0ldK0O4vne4kZVBcQowijBdAXchcuo5JAr2Svhj/g4R8Wala/8E/7n4a+GvhZ468V614n8X6C2m2PgjwXe6w8a2Wr2V7O8wtY3MK+TBIVZsBmAUcmvsr4Y/EDSviv8OdD+JuhaVq1hZeINKg1C0ste0qWxvYI5Yw6pPbzBZIJQDho3AZSCCARQBu0UUUAFeBfEr/gpf+yb8Iv2rNC/Y5+IXinWtO8WeItRttN029m8LXv9kNqNzCZrewbUfK+zC6kjAZYt+7BGcZr32vzj/bu+Nd/8av8Agq5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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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gkYdXWBmKKezyEZ5x9S/8G8WtfFXWf+CZ/h5PibBcra2Wv6hbeEXubcRmTSVdChUjl0E7XKhj2XHQCvXv+CjHwk+G3xu+HHg74efFnwfa67ol147SSfTrwuEd00zUWQ5RlIIYA8Gus/Yh8P6J4U/Zm0Dwv4Z0qCw07TbzVLWwsrWMLHBDHqV0qRqB0AUAD6V8lhsO4cX1p8z1pp2+aVvTS5+vZpx5gcd4Q4PhqOEUalKs5OppZr3ndded83LK+ll1vaPrFFFJJIkSNLI4VVBLMTgAetfW7H5CeZftMQaKuiWF7dSiO8WdlhbAwYsZfcT0UcHPr9a8w/4JzeJPCnxIufHnxRW1kTXL/U7WG3S6hiV00EQ79OeMpI5aGbdcT7jtzI8i7f3YNU/2hr6+/aL8f6T8HPD7XK2fiy7On3c8bCN7bR418zUJtxRgrPHmFcjO+5j5GMjRsPB+pfBT9qDR9c8NQww6eLdtE1i0DpGsulyHfaupKctBLjC7lASWfGThT+d08ZT/ANYP7T5V7GUvZqXnb4vntfsfRyoy/s/6tf30ua3lfb+up9MUUUV+iHzgVmeNJ9ftfB2rXXhSHzNUj0ydtNj2g77gRsYxg8HLY4PFadFJq6sVCXJNSte3R7M/mr/4Ji+Of2l7/wD4K7+BPFIl1i78b6r8QpE8btd2u+5a3lkddVM6uPk2wmctwNm3jBUCv6VK+I/gt8BPg14Y/bmi+OOgfDnTrbxdrnxL8T2+q+IERjcXEQj1UbSSSFH7uPO0DO0ZzX25XynCNB0MJWi5N2qSWvlbX59T9Z8X+OcFx3nOExWGwvsFToQi1pdu7dtPsxvaHW2tleyK8i/a0+EP7FXxX07w1F+2bofgq7trHWs+Fj4yv4rZftrgfuoTI6eYzhRmLkNtGVOBj12vwW/4ObvFPxlvv23NE8J+L5r9PB1h4Rgn8GwPHttWkkY/a5UI4eTzERWJ+YBIxwMZ9PPswhluXOrKnzq6Vnt8/wCt7HneE3COJ404yp4Chi3hpKM5+0i3zqytaFmtXfXVe7zPpY/eRbGxRQiWcQAGABGMAVKAAMAYA7Cvy7/YZ/aa1PW/2W/APiz42ftz6pbeJn0tZdRsNQ8f2MRCpM4hWSJhuGYViyGO45Jbkmv0C/Z217xD4i8M3WpatfyXdpJOr6fdySFxKrDcxVv4kyQQRxyfSuLLeJ8LmeMjh6dOSbTd3ayt6N/1bufK53w9XyTF16FSpGfspyheO0uWTjdeTtdeR6FRRRX0x8+Ffkf/AMHUnif4w2Xgr4WeFNLlv4/Ad9f382s+THi3m1ONY/sySuP4hE1wyIeDhiMleP1wrwD/AIKK/C74e/Gb4T+G/h38UvCltreiX3ja3N5pt2WEcpS0u3XJQg8MoPB7V4vEVJ1ckrpO1o3+7W3ztY+58NuJMNwlxtg81xFH2sKcneOl/ei43jfTmjfmje2q3W54L/wbfa38WNX/AOCcFra/EaC6XS7DxfqNv4KkubYIJNMxE7FGAzIgu3u13HupXoor75ryL9hfwt4c8D/s16V4M8H6Lb6bpWlaxrNrp1haptjt4U1S6VEUegA+vrXrtdGTQcMpoK9/cj+R5fGWcUs/4rxuY0qSpxq1JyUV0u+vm95Pq22FFFFekfNH86v/AAcE+LPjVqn/AAU08SaX8Q7jUU07R7DT4/AkM0ZSNNPaBHLwAcMGuTcZfkllKn7oA/er9lDV/ih4g/Zh+Hmu/G22uIfGN54K0ybxTFd24hlXUGtYzOHQcI3mFsqOhyK+Z/8AgpN8Bfg18XfivP4r+J3w507XNQ8LfDSS68P3N+jMbKbzrpt6qGCsd0aHDAj5Rx1r7TsSWsoWY5JiXJP0r5LJMO6We468m9Y/+TXf4bLyP17jvjvA8TcE5JldHCKlPCwcZS01aUY+7bW0rc87/a72u5a/Or/g5h8T/GLQP2D9M074ezX8Xh7VfGNvbeN5bKPKm08t3hSZhysbXCxexYIp6gH9Fa5j40eFfhN42+E/iDwt8d7DSLnwdeaXKviSPXpVjsxaBdztK7kCNVA3b8jbtDAgjNe/mWFljcBUoRlyuSav/XTv5HxPBWeUuGuLMFmlWj7aNGpGTh1fp/eW8f7yR+JH/BDP4za14d+Fvjbwb4y/acv/AAV4cs9YtZ9BsIfFNppyS3Mscn2pwJQWc7Y7bJ+6O3JNfU+reDPgb4Y+JHw1+L37Od9pusfEvU/jFY/Y/FOmXsOp6prQuZ0TWluJwWMsS6c9w8n8MCohUR55+/P2c/h9+zv8P/g3o3hj9mHSPDsPgeFJX0QeGriO4s3DSu0jpKjMJMyF8tuJznnivlvwB8A/gzon7eEfx60n4cabB4y1H4pataXviFUY3EkAsr1dnLbVG2NASoBIXk8nPwWJyHE4B4TnxLknUgkle0b9Y6/doj9BzbjzB5zxlmWbQoSoRmpP2aS/eWSjy1ldJKesqmk9W4pa8y+36KKK/Sz8WCsL4oaOviH4ca7oEmmJepfaTPby2jg4mR4yrLxycqSOK3aKzrU/a0pQva6av6lQlyTUux5N+zB4Nk0qXXvG0wnVtW+y2wWRcKVt/OO5eM9ZmBPT5e2DXrNFFcuW4JZdgYYZSvyrfa+tzXE13ia8qjVrhRRRXcYHnH7TGj/2p4R067bS1uBp+rC5SXBLW7mGWLeMeqyupJ4+etj4EeDm8B/CvTPDr+cG33N06zgB1a4uJLgqQAMYMpAHUAc8119FebTy5QzWeN5m3KKjbtZ3/r5nTLEuWFVC2zvcKZPBFcwPbToGSRCrqe4IwRT6K9JpNWZzbHK/Dn4V6X8O57y5tL+S5e6IVGkQL5cYJIXjqeeT3wOBTfGPwk0fxl4qsvE95eyRm2CieBUBE6qxZRn+Hk4PXI9OtdZRXnf2Tl31RYX2a9mndLXe9/Xf/LY6PreI9s6vN7z0uFFFFeic4UUUUAeE+Cvhu037Q66qdKks10bXNQ1VlhUiN5LiK5jLMWByHNy78EZPTgEV7tRRXm5Xlyy2jOClzc0nK78zpxWJeJmpWtZJfcFeffH39lP9nT9qW00ex/aE+EOj+LItAvjd6OmrQFvs0pADFcEZVgq7lOVbauQcCvQaK76lOnVg4zSafR6oWExeLwGIjXw1SVOcdpRbjJXVnZqzWjt6ES2NiihEs4gAMACMYAqUAAYAwB2FFFWc4UUUUAFeeftK6Kur+B7S4fSlufsGqpcrIQSbdhHInmDHs7Kc8YY16HR161yY/CfXsFUw/Ny8yav2NsPV9hWjUtezucb8AfCDeCfhZY6M4mDy3V5eyLOMMrXN1LcFcYGADLgA84AzzXZUUVphqCw2GhRTuopL7lYirN1akpvq2/vCiiityDwz9qT4d/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": "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": "982271c7324187bba9ab4aa8c4279b66742fed8e075508130309eb32dff37311"} +{"episode": 30667, "episode_seed": 1161995483, "split": "train", "timestamp": "2025-10-28T03:46:26.657448", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1161995483, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 0, 3, 8])", "action": "('move', [0, 0, 3, 8])", "reward": 0.0, "image": "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", 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", 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", "info": {"equation": "1+7*1=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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XcVGCcgYBOBX8+H/BHfxV8bbP/gpr8MNV+FT397qmpeKUh8SSJD9oeXSpX/4mMkpfPyiAyOXJyCoIOcZ/por8/wD9iv8AZ0+Bnwz+PPw++K3gL4YaZpfiTxJe6m2uazbo5nuy9jeyPksxChnwxCgAkDjgY+M4kw0qmbYKfO1eVvTVO68+h+2eG/iJl/CnB2cZXXwaqzxEPdlpbWLjyzvq4xvzRS6trS91+gFFFFfZn4mFeX/tLWmitp2nXcjbdRMzJCFUZeLGWDHqACRj3PvXpOpajaaTp8+qX8oSG3iaSVz2UDJr5S+P+seJPj/4+0v4SeEZbu2k8ZXbae17CQkml6LEA9/chjG4VzExjTI/1t1FzgEj5jijEQlg1gopSqVWlFdtfi+X5/M9TK6clWdZu0YJtv8AQrfsF+K/BHxa/aD8YePdQgf+0tP0eK18Bi6ih2S6L58kV1fWzrKzP515CUc7VxFDaf8APTn69r5P+J/wo1D4IfEbwr4i+FFhDbTeDLiM6LZhkjS60d1WG608uY227okGzGAJYYSWABNfVVhfW2p2MOo2cgeKeJZI2HdSMijhivCOElgpLlqUm01310fzDNKbdZV07xmrr/Imooor6c8sK+W/+Czvi344+Cf+CcHxH8Qfs/TajDrcdhCl5c6TFuuLfTXmRb2VSOUC25kJdeUXLAjGR9SVgfFfj4W+JTj/AJgF51H/AEweufF0XiMLOkpW5k1ddLrc9bIcyhk+d4bHzpKqqVSE3CW0lGSfK99Ha2z9D+f/AP4N09e+Melf8FJdE0v4a293JoepaFqEXjzyLUSRx6csDPE8jEfux9rW1AYYJLBejGv6H6+Iv+Cc37OfwM+Afxm0eb4NfDDTPD0mufDC7m1eWxVy906z6SVLM7McAu5ABAyx45r7dr5zg2m4ZKne95Sfp00+6/zP0Dxk4zwXHPGLzDC0PZRVOENbc0rXfNK11fXlWr92MfRFc78W/C/wx8a/DDX/AAt8adO0q78JXmkzp4jh1tlW0+x7CZWlZyAiqoLFyRt27sjGa6Kvzj/4OZPF3xy8N/sTaLpnw2n1GDwvq3ihbbx7PYR/KbfZut4pnHKRPMBnszBFJ5APu5lio4LAVK8o8yitu/8AwO/kfI8E5DW4n4sweV0q3sZVZpKf8ttbrb3tPdV1eVldbn2h+yn8Mf2Ufhr8IYNA/Y/0jwpF4Mlvp7iF/Cd5Hd2k1yWCyuZkd/MfKhSSxICBeAoA9JjggiOYoUUnqVUCv58f+CGvxu8ceE/F3i/4d65+0fqngrwMNK/tAW8Xia30+CTVWlhjVlM4OXMKyZCdQi7ui1+qXwf+Mw8QXTeH/h1+0ddeNbyO4W4MQ8TwajNFnCAEQciM+jDGSa+Tw/GmCjh4x9hJPRWilb5fpp5H1PiJwHjeGOL8TgauL9u01L2km+d8yUvfvf3tddX362Pr+imQGZoEa4UCQoPMC9Acc4p9fcp3Vz8uCv5Svj38U/2mz+2Pr3xW+LGtavZfFTT/ABn9purq8jEdzY6jbzDylVDlUERjjVFHyBUUD5QK/q1r4C+Pv7OPwL1/9rTxj8f9c+F2l3XjPTviV4dhsPEM8bNPAiw6Kq7QW2ZCuwDbcjPBzivjuMsPKrh6ElJr30v/AALr6q2nqz9p8GvELL+AsVmDxWEVf21Ky2unFv3Xf/l3Pm9+137sdGYl74/+D/xR+F0Hg344/toTa1ZarpNunifQNS+JtmttdsURpoJhCUJjLhlZAwDLlTkEg9J+xj4V8HfC/wD4KKXvg79mvw/YaX4f1P4aPc/FLSvDthClha3sVxEujySeWMQXEkUl9hBt3xoHKnO8/T/7a/h/RNb/AGR/iNouraVBPaXnhG9guoHjG2SN4irKcdipI/GvKP8Agnt8B/g5+z38U/Hng74J/DvTvDemXPh/Rbq5tdORsSzG51Rd7M7MzHaqgZPAHGK86GVYjA8SYWFTESqNqTu730T01b0fU+XwXEGHhw/jY8slzpxVJW9ledk5y1+KFk4JQfvRi3Jctn9WUUUV+hn58FFFFAHzvY/Cr+2fjdDYnSJbFLLxe+uzC2UhDIJpJi5LA/K7sSfUk4xX0RRRXlZVlccrhUipuXPJy18+n/BOrF4p4qUW1aySCiiivVOU5L456Anif4W6posmjrfpIsTtbMGOdkqOGAXklSoYe61yP7L3gdtJuvEHj+Xzw2trZ2yrIAEKW/nEMvGTkzsCckfKMdDXrdAAHAFeVVyuNXN6eOc37sXG3TW+t/n+R1RxTjhJULbu9wooor1TlCiiigBHLhCYwC2PlB9a+efgr8KEj+LGkXMekTadD4Slupo7WFCIo2kglgEZ3AnGJmYc5OAeRmvoejA9K8rH5XHHYqhWc2vZO9u+33bHVh8U6FKpBK/MregUUUV6pylXWtJtNe0i50W+UmG6haOTHUAjGR71gfDX4Wad8OVupIdRe7nuiAZZIwu1AThQBn15Pc+ldTRXLUwWFq4qGInG843Sfa5rGvVjSdNP3XujlfiT8KtN+Ir2lxPqMlpNakqZI4w2+MkErg9Dxwe2ehrotI0y10XS7fSLJcQ20KxRg+ijAqxRRTwWFpYmeIhG052u+9tglWqzpKm3otkFFFFdRkFZ/iyybUvC2pactmlybiwmjFvLnbLuQjacc4OcfjWhRUzjzwcb2uNOzTPCP2afhwLL4gjxgtncW0ejeH59Ht4GTbGBLLbOVORncotUGM8Bjkcivd6KK87KMtjlOBjhlLmtfXbd32OjGYl4uu6jVgrG+IXw98E/FjwPqvw1+JHhi01rQdbsntNV0u/i3xXMLjDKw/UEYIIBBBANbNFelKKkmmrpmNOpUo1FUptqSd01o01s0+jRxPwL/Zx+Bv7M/gNfhj8CPhlpfhnQlu5Lo6dp0J2vPJjfIzMSzsQqjJJOFUdAAOzjggiOYoUUnqVUCn0UoQhTgowVkui2LxOJxGMryr4ibnOTu5SbbbfVt6t+bCiiiqMQr8nr340alon/AAT18c/EP4p/FW+0v4oC61SbxLcX00MepWPi5Ll2t7VYGyEKSQW6QxBcfZ4kZQVG4/rDXmWrfsZ/sta7+0FbftVax8D9BuPiFZoi2/imS2JuFKxGJWIztZ1jO0OVLABQCNox89xBk1fOIUlTqcnK7/8AB9VbT1eqPr+Fs7yjKo1YY+i5pyhNcqi23T5/3b5rWhU5/eau1yxfJLY+QtF+Mfw88R+CNPsPib+25NqTXelW41/R9R+I1g1vcSNEpmhkRMZQtuBUEccZr6o/Zf8ABpttd174ku02dVsLKxj3AeW6QSXMm9eMnJuSCckfKPQ1699is/8An0i/79ipAAOAK58Bw3WwmYQxVbEyqOKdk13Vt3Jnj4vNIYilOnCkoKTvptvfawUUUV9SeQFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRUGq2kuoaZc2ENy0LzwPGkydYyykBh7jOaAPnj9nf8A4Ku/sRftS/tCan+zL8G/idd33iWwW+axkutCuraw1tbKbybw6ddyoIb0QSHbJ5TNt5PIBNfR1fip/wAErf2b/wBpmw/aJ/ZC/Z48Y/s3+OPCl5+yTZfEiP4oeLtb8Py22kX7arczLYrp143yX4uBKsreWTtAO7pX7V0AFFFFABXhv7bP/BRP9mD/AIJ+aV4c1b9pLxFq9knirU/sOkR6P4eub9i++KMvIYUZYYw80K73KgtIoGScV7lX59/8HH/i3Vpf2DYvgp4P+Efj/wAXeIPFfi7RrzTbbwP4GvtYWGHTtWsbq5Nw9rG4t/3QYpvx5hVgucHAB+gasGUMOhGRS1zXwd+Jui/Gb4X6H8U/Dmi63ptjrunpdWtj4k0WbTr+BG6LPbTqskL8co4BFdLQAUUUUAUPFXifQ/BPhfUvGfie/FrpmkWE17qN0yMwhgiQySPhQScKpOACeOBXh/7IH/BTL9lL9t7xx4k+GHwV17xBbeJvCtnBfar4d8XeEr7Rr37DOcQ3kcN5FG0kD8YkAx8y+oz7V458UweBvBOseNrrSL/UItH0q4vpLDSrRp7q5WKNpDFDEvMkjBdqoOWYgDrX5y/8EZvijrH7Vf7ZfxY/bW/aM+DfxN8H/FnxnoCabo/hrxR8MtT0nSvCvhKyuwLXT0vrqFIr29lklFxKVPchFCo1AH6X0UUUAFFFFAHzv+2b/wAFRf2TP2CdestD/aL1bxTZpcWcV5f6ro3gnUNRsNHtZZ/Ijnvrq3haK0RpAVXzGBO04FfQOm6lYazp1vq+l3aT2t1Ak1tPGcrJGwDKwPcEEGvzK/4OL7C4+Ofwui/Zv8D/AAK/aD174kRWVvf/AAyl+Hui3dx4T1i/mvoM22sbCbSVIfsqOUvVCqspMZO5q/ST4exeJ4PAGhweNbe1i1lNHtl1eKyUCFLoRL5qxgcBA+4DHbFAGxRRRQAUEhQWYgADkmivE/8Ago34Q/aW+IX7EfxF+H/7IUUL/ELXtAbTtD87VEsSqzyJFcMlw4KwSi3aYpIQdr7Tg4xQAv7Gv/BQX9l/9vmLxvd/sw+NbjXbX4f+LJvDuv3r6dJDC15GMkwO4AmjI5Ei8EEEda9rr8yv+DfX4WftJfBP4t/tM+A/it+xL/wqDwvJ490+Xw9ar4jN9bxtDpltai0tZPs0IvYViiRzeJ8rOzJt3KSf01oAKKKKACvnP4lf8FQP2dfhn+1VN+xxc+EPiVrvjKzfShqp8JfDbUtVsNMXUSRayXV1bRNFbIwDkvIQAI3JOFOPoyvyW/4KoeAPiFpX7dr+P/2FPAn7TOl/tE694v8ACEEOt6Da3cfgDVtFtgonN/LF/okkMcEt0jrcnzFkzsG1skA/WmiiigAooooA5D4+fHr4S/swfB3X/j58dfGlr4e8J+GLA3es6td5KQx5CgAKCzszMqKqgszMAASRXP8A7KX7XHwm/bI+Hk/xI+Eln4ls7W0vzZ3lh4u8KXmjX0EnlpIpa3u40k2NHIjq4BVgwINfO/8AwcE/s7fGL9pj/gmX4n8E/A7QdY1bW9K8R6HrsmkeHRu1C8tLLUIZ51tl/jnWNWkRP4mjAAJIFUf+CG1v+0HH8Ovixc/ESf4sN8N5/idM3wUHxwe6bxKNG+zReabj7Z/pIiNz5vliX5sBsfLigD7looooA//Z", 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"info": {"equation": "1+7*1=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "9d0003aac5fd97cd9cf44878d34627a32b2bca60e2c85d0d77e8a524173925fb"} +{"episode": 30668, "episode_seed": 4188261877, "split": "train", "timestamp": "2025-10-28T03:46:26.729579", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4188261877, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 4])", "action": "('move', [3, 4, 1, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "18+9*3=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": "18+9*3=45", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "60e6378ccb484ef23555842e848688c2be3b12bb1724953e7e1d8716dbd1a83c"} +{"episode": 30669, "episode_seed": 2415657808, "split": "train", "timestamp": "2025-10-28T03:46:26.803561", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2415657808, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 6, 2, 8])", "action": "('move', [4, 6, 2, 8])", "reward": 0.0, "image": 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", 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nhK11zQ77xpbm7028LCOUpa3bqSUIPDKDwe1eNxFTdXJK6Tt7t/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+UYis8RXlUta4V4f+2f8AEu/8L+F00Lw7ai61JzGLCyyv+k308gt7OD5mUfNNIoIJHBBzXtGq6nZ6Lps+rahLsgtomklb0UDJ+pr518FWF58cv2r7fXNRtXOleEYDrlwJNu1r2cSW1hFgod3lxLdSEhlKuITznjyc/qPEKnl0H71V6+UFrJ/hb7zsy+KpuWJltBaer2Pavgr8MdN+DXwr0P4aaZMJhpViqXN35QQ3dyxLz3DAE4eWVpJG5PzOa6iiivoIQjTgoxVktDzm3J3ZzPxpvvG+l/BzxZqfwztnm8SW/hm/l8PwxwiRnvlt3MChW4YmQIMHg9K/nb/4JHfGf4neGf23b2TxB8ddZ8JWniWy1CXx5qj67HZPdSqskqGeS44Mn2ll7b8uw6M1f0lV8dfsPfA34Q/Dv9pnXPHXgn4eadpus+LNN8Q3XiTUYY2Mt/MNYtyGcsTjl2OFwMt0r5LiTB1cXjsJGFRwbclddNL3Wq7WP1bgTjfA8NcI51llfCqrLFQioydtLNr3r9Fzc0bbTS73UvwEj8G/FnxraN4W+LsnjSe312xvdU1Zdfg1GeMW0qzRRyPF8qJ+7IAIBO5sHJ4+wKbHDDDnyolXPXauKdXr5NlUsqpTjKq6jk7tv0S7v8z80xmLWLnFqPKkrWCv5wP27vih+0To3/BafxP4v8Q+KNT0fxNo/wATo7Tw5fSskD2OlrKI7Noi/wAiRm0ZHDHgiQueWJr+j+vjf4y/BH4S63+3xbfHDWPAGn3Pi3SvEfhyy03XZkZpre3by9yKM7RnzHGcZwxGa83ivDyxGFoqM3H95Faeel/Vbo/SfCrjbBcFY7HVcThVXVbDzppO2jdnZ3+xLaa3tbR2seZ+PtL/AGRvjw0kfxr+OOk/Em10nS75obXxV40tNQi022eMC5uY40KiNhGozORujAJVlySfrT/gn/qnjnWf2K/hnqXxHa9bVpPCVr5kmpWohuJIQuLeSVAAFdoBEzDA5JyAeK88/wCCj/wL+D/xvk8F+Hvi38PNO1+xsV1W+tLS+jbYlwkUAV8KRuwGYYOQc8g1778Ff+SOeEuB/wAizYdB/wBO8dc+Q4Grgs6xMKlVzajDV9b693tay1PmszzeliOGKGFXM3zuVnblpqPMrU9X8blzT0irxj8W66avK/2o/hR+x/8AFGy8Lxftc6J4Pu4LHxHE/hP/AIS29igU6kwOyOEyOvmu4H+q+YPtGVOBj1Svw2/4OjPFHxdH7VngHwzqd1fxeDbXwZ9s8OKFKwNqLXMq3bqw+9IqJaA91BXGN3Pt55j4Zdl0q0oc6ulZ7avr/W9j1fCvhTEcZ8Z0cuo4p4aTjOXtI35lyxekbNXb2eq93mfSx+4v2S1DbhbR5z12CpK/N79jv9pa+1z4J/D7xL8Tv219Qu/F2oeH7RtW0bUfHdkfNupY9vlvAAH3HcPlzu3Y719//Ce71y98A6fc+IWka5ZG+ebO9k3HaWzznbj61y5VxFhs3xLo0qclZXu7d0raN9z5TN8lrZPXqUqk4y5JuF4u6dm1deTtodFX5x/8HNviP4saL+wtomleB5b2Pw9qnjW3g8ZPaJlGgWKSSBJmHKxmdEPoXVAecA/o5XkP7dfgjwn8Sv2Z9Y8A+PNBh1TRtW1bR7fUtPuN3l3ER1S1yrbSDjgdCK7c6purlFeKdvdf4K/47Ho8DZ5Q4a4wwOZ1qXtI0qkZOPdbXV9OZX5o/wB5I/Lf/gjZ8eNXT9kN/DnxR/a/1Xwva6P4jubPwxo58a2lisVh5cch2Rygvt8+SbBPHUDgCv05/ZA8L6JHFe+OfDdwsum3Wj2NhpkttKslvLbxGV0aNxneMSj5gSCMVN+wn4B8FfDv9n6DwJ4H8MWemaPpOv6pbabp9rFiOCJbyXCjOT6nJJJJJJJNezKqqAqqAB0AFeBkWRVoPD42piJSSjdRa0XNHZO72v26I7eN+J8PxDxDjsXQw6pRrVJSsrXtzX1svie8vNsWvDv+ClfiP4seEf2Cfit4k+B73qeJ7PwddPp0umx7riJcATSRjqHWEyMCOQVyOQK9xpJI0lRopUDKwIZWGQR6Gvrq9N1qMqadrpq/a63PlsrxkcuzOhi5U1NU5xk4vaXLJPlfk7Wfkfzwf8EL/irrngn4peNvDeo/Hu98D+GL3w/FdXklt4gttPW6v451SAF5gSxEclz8q/U9BX39pfhj4LaX8e/hd8XfgRrlj4g+IesfF22iuvFVlqEGqalq1rNH5erpcTgktDHp4LEDCwiOHaF3fN9zfAn9mD9n39mTw9f+FPgH8JtH8LadqmpvqF/a6Zb7VmuWVVLncSfuqoAHAA4Ar528IfBD4RaV/wAFFbj46ad8PtOi8Yah42vLC88QKjefJbLoLgR8naowiDIAJ2jJr87qcPYrLXhPaYhyTqRXKr2Tbbutf0W5+w8S+I+XcU8X47OMPQlRhOk0oq16loKNq1mlyveXx6JRtrzL7Fooor9JPw8/N/4A/E3x3cv8FmTxbf3PxH1b4vTp4002aOJrsz770a3DcQnmGK3ikfGAPLVbbH303fDf/BxB4u+Oj/8ABT8WGozaolloui6S/wAOI1gO0I0aSPJAAP3jG9EylsElowvRVFfp98Ofgj8JtE/4KD3Xxy0vwDYQeL9X8aarZal4gVWNxPbrpcoWM5JCjEcf3QM7RnNJ/wAFFPgn8Jvif8XdL8Y/EHwFYavqfhTwa934cvLxWZrCc3RPmIAQpOUQ/MDgqCK/MamDnHh/ER9o/dr/AH2aj+N7+qR++8I+IOR8McbwzOOC54ToVE42inGdR89o9OSNvZp6NwlJ8qvyH1R8KrzxfqHwv8N6h8Qbdodfn0Czk1yJ4whS8aBDMpUcKRIWGBwK36KK/TYrlikfg1Waq1ZTSSu27LZX6LyQV59+0jpA1PwRaXB0wXBsdVjuFfaSYDskTeMezleeMMa9Borlx+E+vYKph+bl5k1fsVh6vsK0alr2dzl/gt4SPgf4W6N4ZYy7oLYuwnxvDSO0hBwBjBcjHtXUUUVtQpKhRjTX2Ul9ysZzk5zcu58r/tseKNZ0v9qb4WaN4h1yex8LS+H9eubJZHWO0udcT7KsaSOSMyLZyXzInceawB2Er88/sv8A7SHhubwVLq+r/tvXtpb2njHWE0HTrjxvYW0J0yLUZltF8nGfKMSqBk5ZMHPOa+/Pjr+z58F/2mvAMnwu+PXw70/xPoEl1FctpupIxQTRklJFKkMrDJGQRwxHQkHpNG8NeHvDuj2nh/QdEtbOxsLaO2srS3gVI4IUUKkaqBhVVQAAOgFfL47hzF4vM6mJp4l01JLa99Fa2606+rPrv7fypcP0cL9XvWjo21HlsnOSaercpc6Uk0rKC1lzWhzHwF1XXtY8DfbdcuZZw10/2SeZizSRYBzk9RnODXa0AADAFFfR4HDSweEhRlJycVa76nyleoq1aU0rX6FTXtGtPEOi3Wh32fKuoGjcr1GR1HuOtZ3w+8D2ngDw+NDtrtrhmlaWadk272OB05wMAD8K3KKqWFw8sSsQ4++k0n5MSq1FTdNPR62CiiiugzOX+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/slqG3C2jznrsFSUUVZgFfNf/BRDxFrui6n8I7C61e5sfCl/8QjH4jniISGW4WxuH06Gdyflje8WLA6NKsS8lgp+lK5/4qfCr4dfG/4fap8Kfiz4Qs9e8O61AIdU0m/QtFcIGDgHBBBDKrAgggqCCCK4cywk8dgKlCMuVyVr/wBdOj8j1ckxuGy/M6dfER5oK6dkm0pRcXKKejlG/NG7XvJarc/PP4T/ALQPh6fx58TdNvv2z77QdI07x9LBoGn2/jSxsoUT7JbSXQjVgWdBePcjeSckMM8V9w/s0+LNY8Z+HLvXrjXTqmnXLRy6dqInEqTh1JLRuPlZCNpBXjniut+HXwu+Hnwk8C6V8M/ht4PsdH0HRLNLXStMs4QI7eFeijOSe5JJJJJJJJJrdVVUBVUADoAK8TKuHsXgMRTq1MVKaircuttrd3oumnRHZnObYLHVqiw1BQg7JPTmtFJXlZW5pWvLV6t7i0UUV9SfPBXi+l/D83X7Tp1s6ZJbCw1ObVGaFTsmZ7N7UMxOc5WTtjlPYivaKK8/HYBY6dGTlb2c1P1tfQ6KGIdBTSV+ZNfeFFFFegc5+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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", "info": {"equation": "12*20=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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", 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", 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", "info": {"equation": "12*20=240", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "b80ec46f58e049eec7bb019701a80b7c6a5c4842c5115f0a979eb23348afda21"} +{"episode": 30670, "episode_seed": 3924811683, "split": "train", "timestamp": "2025-10-28T03:46:26.883360", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3924811683, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 6])", "action": "('move', [0, 0, 8, 6])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "10+18*4=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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4EcDivG4qpOrk07O1nF/+TJfrf5H2vhTxZheC+MKeZYih7aPJUjbS6couzV9PJ/3XLfZ/Snwyu/FV/wDDfw9feOoGi1ubQ7STWYnjCFLowoZQVHCkOW4HArcPTiiivoYrlikfndWaqVZTSSu27LZeS8j8/v2OfiL4y1X4mfBKzbxVf3ninVdQ8Rv8SrKeONp4yLe6fUPtSDm3EWp/ZIlxgAsidGAr4Wt/Gn7SVz/wcox313/akmvRfGFtOSGS1BZPDmGi4QjAh/swl9w/hJfqc1+nP7PXwd+F/hL9uzxT8WfDngiys/EviW48QRa7rMSt515HFd2wjViSQAABwoGcAnJApdZ+D3wvf/gpFB8cX8EWTeLo9ag0yPX2VjOlodCdjEOdoBJPIGcEjODivzmjg5xwFGPtHpibfja/4X9Wz9wyXj7JckzHMalPBc0cTg6lNJqKtOo3OzS09mubk01lGEXaPwr6wrxP/gpBr/xP8LfsHfFjxD8GpLxPElp4IvpNOl09N08X7s+ZJGOu9Yt7AjkEZHIFe2U2WKKeJoJ41dHUq6OMhgeoI7iv0KvTdajKmna6av2utz8ayzGRy/MqGKlBTVOcZOL2lyyT5X5O1mfz4/8ABEjxj44ns/ip4FuvEd1/wjNl4Gv9QtdPaZfKt76UQxyTqDyrNHFGCemI1z0Fftr+yZ401Lxz4Wl1qLxi3iHSnt7f7FrJvVuVuGClWZZU+Vydo3FeM+ma8f8Aj1+zr8EP2ZfBll8P/gH8NNM8LaNPoPiW+m0/SoiqPcSLYh5DkkkkKo68BQBgACvrezREtIlRQoEYwAMDpXw2QZLXwebTjKs/3XLdK9pc0Xbr9npp9x9/4lcX4LjHPq+a4bD+zhXeiduZcijG7tpeVruz67vckooor74/Mj5O/wCC4HiD4oeGv+CYnxP1D4US3kd7JYW1vqUtgm6RNNluoo7zpyEMDSByOiFjwMmvnT/g1u1X4i3f7JXjzSteiuP+EatPHCnw7JLAAhme2Q3So3VgCICR0BY+pr9BP2mtOsdY/Zx8faRqlqs9rd+DdTguYH+7JG9rIrKfYgkfjXAf8E/fhf8ADz4NfCvX/h18LPCNnoeh2Hi+X7JptipEcZezs3Y/MSSSzMSSSea+cr0W+KKNTmf8OWnTR/8A234I/S8DxfhMN4VYvhx4ZOpUxEKiqaaJRWne65bLpyzlt193r8VP+DqTxD8UV+Mfws8MXMl4ngtfDV1d6eBHi3k1T7QUnO4fekWEW3B+6JOPvtX7V18uf8FMfg58LvjNo3hbSvir4HsdetdKh1bUdPt79WKQ3UdvHslwCMkbjwcqc8g1fFNN1Mjq2drWf4o5/CzinDcHcbYbNMRR9rGKmrK1/eg1eN9Lq/3XPm74Q+IfhX+0Z8D/AIe6T+05+0HbeO9Wm0Kw1DUvCHijxhZXNt/af2P94z2aYDMm+UhWyEOTjKgj7A/4JsTXsn7F3g6B5biTTrX7fa+GJbmII0miQ39xFpjDHDIbJLYo/wDEm1snOazf21PhN8NvjN+z54T+H/xS8G2etaNqHiDTzeafdBgkpS1mdclCrcMoPB7V6T+y1Y2Wlfs4eB9L0y0jt7a18MWcNtbwoFSKNIlVUUDoAAAB2Arzcly+tgM9qRqVnUfs07vzl6va34nBm+eUcwyF0owcHOs5qCtyQSUtIa/ac9VyxSUI6yv7ve1zvxZg0yf4d6qNWbES2xZWCgkSAjZjPfdj866KvGP2wviReeHfBsvh/wAN2jXep7FkgtF6TXDt5dtFnBxumZMnHA55Fe7neJhhsrquSvdcqXdy0SPlsDTlVxUUtLO9+yWpxv7Euu+GvGXxr+IWrvGTqWj21npWlPLHHhrJZJvtEkLByzBrxJIpAVXBtYuvWvpmvmXwh8H7r9nD4xeA7Tw9dedBZ6a2mavPNJGrXtvdKrTylvLGX+2xRzYGz5WfuQp+mq4+GpKnl7wsladJuMl87p/NM2zNc2I9qndTSa/y+RDqDXKWE72S5mELGEY6tg4/Wv5zv+CZ3xi+MWk/8FIvEWvfFj4yat4P1PX11kfEXVp9Vh0+drgO0jRSyTDCH7WsY2DnI2jjNf0b1xHgP9m74E/DD4i+Kvi34A+Fuk6V4k8bTxzeKtYtbfE2oyR7trOSSAcsxO0DcTk5PNVneT181nRdKq6fI3qr31W6s1rp32bPuOCeOcDwrkGcZfXwqrSxtOMIt291pu979LS5lb7cI+q+H/D+i/B4ftFfDX4xfBvxXZ+KfiFq3xStra98VwapBqmpahZtZtFqEM8yk4gi09Q20ACLy4iAC2W/RevlG0+DPwqtP+Ck03xutvAlgni2fXP7Nl14IfPNoPDYYRddoGQOQAeMZxX1dXPwvhp4WjiISm5NVZK762tr136nz3EuZU8wp4OMXJ8lJJuW6u2+SOr9yG0durtG9lHeWtpfWktlqFtHNBNGyTwzIGR0IwVYHggjIINec/stfDP9lf4bfCaHw7+yNpHhWHwc1/cTQnwpeR3Vo9yXxM3mo7hnDLtPzEjaF4AAHE/8FUvEHxQ8Lf8ABO74ua98G5LxNft/CE5gl0+PdNFbllW6kTuCtuZm3DlcbhyBX5J/8ELfjLrXhvwX4+8EeLf2nNS8E+GrW+s7rRrCLxXbafFJeSrIty6iYEsdkVvnHAwO5qs4z7D5RjqcKlJyvFu6tda7K/prr2Ppsg4HxeceHOYZ7TxfJCjVpxdK7tPZczV7XXtPc0enPsfvWqqihEUADoAKWvLf2W/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+A4lxlPHZ5WrQva6V38UuVKPNKzfvTtzS1fvN6vd/iJ/wdE+Mfi/pf7U3wx01NR1G08Mad4SbUPDksOY4l1X7Y4uZEcdZVRLP3UFSMbjn6z/Z++LWl/Ebwf4Jfxz+1HceLPFt1oVnc3Ph+/wDGFndMupPZjzyltCA3mLvmGBnaC3HHHrv/AAU0+Dnwu+L0XhYfE7wNY62NC0jXNS0hb5WItruNbTZKACASM9GyD3Br6jsLe3FrDKIEDeWp3BBnpXzNfI62Z5xi4RxEoL3LrdPmjs9VorH3md8dYHHcDZNlUMIlPCqqnPTXmkmuXS6vvO+8tTM+GvhxfB/w70HwmjSEaZo1tagy43Hy4lTnAAzxW3RRX3VOCpwUV0Vj8ok+aTYV5D+094EbxxqWi6Z/Zzn7ZBcaeLyAEyRrM0ZdR1A4QNyP4D2Br16iuTMsCsxwcsO5cqbWvo0/0NsNXeGrKole1/xVgoPTiiiu4wPy10n443uiaR8G5fE37Quo+F/E+ta/rg+IN0+sWtjdiYQ3cmoRXBlz5Aj1BbeMIAMYRRxxX09+y3H4R+I/xDsfEXhX4pP4wOmapJe6lrS63DqEjTfZHgRJpYvlGEdQF4OAPx918Hfs2/Aj4f8AxV8TfHDwZ8LdJ07xZ4yEQ8Ta5bwYmvxGMLvycDoCdoG4gFskZrtY4oogRFEqg9Qq4r4vB8KYmhXhOpiW4xnzctnZ2d09931dj7HiDiHLcwruWDw/IpRd20k7ylKTVo/ZjzckdVeMU7Rvyp1FFFfaHxx5H+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+cf+CgHiDWtH1z4SWFxq1xZeG7/wAeSR61JGVWGa6XT7lrCCZz91GuQpUfxSpEvJIB+YPgn8cvAnifSfE2neKf2wZV0j/hPtZttJ8P3HjWxt7WfTxdsFj8kYZ4WcygHOXXByQQa/Qn4ufCD4Z/Hr4d6l8JvjD4MsvEHhzV40TUtJv0JinCOsi5wQQVdFYEEEFQRV7wf4F8HeAPCmmeBvBfhqz03SNGsIbLS9PtYAsdtbxIEjjQdgqqAPpXymZ8O4rH5jLEQxDppxS0vf03WnX1PraOe5ZSyCnhnQvWi7Xajy8vNKXNf4uduXK9LKMVq72jy/7OPhh/DngKa6lEofVtUlvmWUYxuVEGBgcERg8+vpiu+oor6HBYZYPB06Cd+RJX72R8vXqutWlUatd3Pi39ubxzbeH/ANozxNbfE3xlPpPh6y+CL3WgGeRI4Mtc3Q1OaItxJMix6aCOdoePj95zy37MH7QF54h8G+EZNW/a81DxB4t1bwzZnUdBufGVncSNetbxyTBbeEBg6uH+VegDDGK+xvjD+zj8DP2gLrw9e/Gf4Y6V4jl8Kaymq+HX1KEubK7QgiRcEZ6LlTlTtGQcCuyW1tkbelugI6EIM18zi+GcZisdWrxxTgp20V+1rPVbdPI+rr5/lbyqhRp4e9WKXM2opLlVlyNXfvfFO9ve2vuQ6M97Lo9pLqS7bhraMzr6PtG79c1Zoor66MeWKV72PkG7u4UUUVQgooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArxv47ft7fsxfs3/HfwH+zh8WvHM9h4q+I1wIvD9tDpc80Me+ZLeF7qaNSlqktxIkEbSlRJKwQZNeyV+Z3/BVX4J/G/xj+394d0zwJ8HvFGvWPxT8OeAtE0vxLo+kvPYeH7jQfHKa3fyX0y/LaJ9iYyRs+BI8RRctgUAfpjRRRQAV5d4A/bE+BvxM/ad8bfsh+ENZ1Cfxp8PtKstQ8TW0ukTxW0UN1nyvLndQkx4+YITtPBOQQPUa+LvA/wAVo7v/AILpeN/Di/Cz4gxWknwN0fQIvFNz4Ev49Dlv7a+v9QljTUTH9ncCC8gAIbBk3xj5kIoA+0aKKKAGTzxWsD3NxIFjjQs7HoABkmvIf2Rv27P2dv23bPxPcfAfXtWmn8H6tHYa/p2veHrrTLu3aWITW83k3UaOYZomEkUgG115FevXEy29u9w6MwjQsVRckgDOAB1PtXxD/wAEbvidqH7Q/ib46ftSfEX4W+P/AAh468e+OLabVdB8a+BL7RotL0a0ils9HsreS6iRb11toHnnljyFlvCvAC5APuGiiigDmfjJ8WvCPwJ+F+tfF3x2NQbSdBsjc3cWkaXNfXcoyFWOG3gVpJpGZlVURSzMwAFY/wCzH+0t8Jf2vfgno/7QHwR1i6vfDutm4S2a/wBPltLiGaCeS3ngmglVXiljmikjZGAIZDUf7V/ivQ/Bf7N/jPXvFHhnxrq+ljQprfU7L4cW88uu/Zp8QSy2S2zLN50aSNKphPmr5eUywAPiv/BFLwN4++HH/BOjwb4U8feDte0Ex6vr0+gad4ssvs+sDR5tYvJtPk1BCAwvHtXhklLjeXcl/mLUAfVlFFFAHnH7Wv7V/wAE/wBiP4Aa9+0x+0N4kl0rwn4cWA6jdW9o9xKWmnjgiSOJAWkdpJEUKBnnPQV6FZXcGoWcN/bEmOeJZIyRglWGR+hr8/8A/g4x+DH7Unxs/YwGi/s+fAn/AIWJpWl2mtX/AIo0C21gW12kn9lT29ldQQiKV754ZLiSZbVFDSSRxYZSvP3N8KrrxRffC/w3e+N/DSaLrU2g2b6vo8V6LlbG6MKGWATBVEoR9y7wq7tucDOKAN+iiigDx34mftwfB34WftQ+GP2Q9Y8P+M9R8X+KtNg1C1bw94Mvb+wsLWa4lt45r26hRo7OMyQyDdKVHy9a9ir4B/4KHeEvGP8Aw8t+BPjj9nzwp8aYfiPLrnh+w1XXPDsE48GXHg+PULyXV7fVJE/cmVIZZGRJvm3yQGLJ34+/qACiiigDybwX+2v8AfiF+1H4l/ZA8Ia5qd74w8I2Kz688Wg3P9m28hSGRrT7ds+ztdLFcQSNAH3qkqsR1x6zX5i/sM/Bj9qX4P8A/Ba34uxS2PxOt/COv+JPFviDxXLqpn/4RC8sL1dGk0KSw3fuWvxINRjmKfvAkO1/lEdfp1QAVX1fU4dF0m61i5hnkjtLd5pI7aFpJGVVLEIigl2OOFHJPAqxRQB4j+xv+358DP245fF1l8IdF8aaXfeB7+1s/EmleOPBd5ol3ay3EJnhBhu0Rzujw/Toynowz7dXzD/wS68GeLv+EH+KX7Q/xE8LanpGt/Fz41+IfEAsdasZLa7h0u3nXStMSSOUB0BsdOt5FBA4lyOCK+nqACuJ/aN/aF+F37KnwW134/fGbV7iy8OeHoI5L6WzsZLqd2klSGKKKGIM8sskskcaIoJZnUDrXbV8yf8ABYvwl408c/8ABOf4heF/A/gvWfEE1w2ktqel+G7JrjVG0tNWs5NQksY1BY3kdotxJCU+cSxoU+YLQB7D+zZ+0Z8LP2svgtovx8+DGrXV54e11Zxatf6fLaXEMsM8lvPBNBKqvDLHNFJG6MAVZCK7qvl//gjd4S8X+CP+Cefgvw74v8Fa74fEep67LomneK7JrfV/7Jl1m9l0+bUEcBxeS2jwSzGT940kjM/zFq+oKACvHf2xP28f2af2EPDmg+KP2kfGV1pVt4j1ZrDTFsNJnvZDsiaae4dIEZo7eCJWklmYBI0GWIyK9ir88f8Ag4h+Anjz4xfs/wDhm++C6fEE+PGTX/C3hyHwP4FGuw38euaXJY3FjfZdf7PgmXYPt5ysGwkjLLQB+hdvcQXdul3azJJFKgeOSNgVdSMggjqCKfWB8KvC194G+F/hvwTqlys1zo+gWdjcTKciSSKBI2YE+pUmt+gD/9k=", 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", "info": {"equation": "10+18*4=82", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "454e232f4e29b042a8732ed00e21bbc5788cadb4c6f8faf9e6666958f6c9eb13"} +{"episode": 30671, "episode_seed": 3026493119, "split": "train", "timestamp": "2025-10-28T03:46:26.958493", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3026493119, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 0, 5, 5])", "action": "('move', [4, 0, 5, 5])", "reward": 0.0, "image": 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LufLH7bHifWdL/am+FmjeIdcnsfC0vh/XrmyWR1jtLnW0+ypGsjkjMi2cl8yITyPNYA7CR89ftT/Eb49v/wAEI/HXin4darq1wJ9a1K00/VILZRNN4TfW5YllBQcwtZEDzR96E7s4O6vq7/gob8JPhr8b/hp4U+Hvxa8HWuu6JdeOIpLjTrwuEdk0++ZDlGUgggHg0eHvD+hwf8E17zwnBpMEemR/C3ULOOwjj2xJbi0mjEQUdFCfKAOgr5KrhJzz7F++1zUfuvp+Fr/Nn6LlHEeV5Xg8txDwynUoVoSkmo8so05yno92586jK6suRO8r2h8Hf8GqWsfEyXwH8XNBvorn/hDYNX02fTJGgAh/tN4pVuQr4yW8lLQsueBsPG7n9b6+dP8Agnf8IPhj8DfDvjL4e/CHwTZeH9Fh1+3nj06wVtgkks4S7ksSzEnHJJ4AHQAV9F16vDUHDI6CvfS/3tv8Di8S+IsNxZxxjM1oUvZQqSVo6X92MY3dtOaVuaVr6t6vc+Ov+C83iP4seGf+CZPjy7+E0t7HJcvZ2viCbT48yJpUs6pc5I5VGUhHI/gds8Emvze/4IW/GHVfDPw78e+DvFn7TN/4I8O2+rWl1o9jB4ptdOSa8ljkW5kAlBZzshtgewwO5Nfun410bwl4j8G6t4f8f2Vlc6FfabPBrVvqO37PJaPGyyrLu42FCwbPGM1x/wCzH8Ov2Zvh58GtM8N/soaV4Zi8DrLPJpjeF7uO6s5XaVvNZZlZxI3mBgTuJBXbxtwOTNsixGY5lGvTxDp2jbS99+lmtHfX5Hu5Px7g8t8LsXw5PBc86teM1VsuVK0XZuzfP7jUe8ZS2tr8d/s3eDPg54C/bQ+FWt/s0DT7nUPEtv4hHjfV9HuIr6XV9HMMk8t5fXILNI39qraATE5Mkjx5x8o/Qevjz9jf4I/CT4d/tca98R/BHgDT9M17xWvimXxFqtsjebfsuswEFySQBlicKACeSOBX2HVcJ0XQyyUXJv35b+Tt+l/VnyXFuZQzLG0XFylyU4xcp/FJtym29Zbc3JG8m3GKenwori/jv4ui8K+AriM3KxSX2YBIzYCR4zIxOeAFB57ZFdpXzP8AtK3s3x48faP8FNCaZrPX9SGlXs0bBfLsFDTajJko4G6CNoVyOXlTBGcjqz/FTo4H2NJ/vKr5I/PRv5L9Dw8vpKdfnl8MNX8jsv2JPBptPhjc/F/U7Py9R8f3o1YF4kEkenBRHp8JKs2QLdUlIzw9xLwMkV7NTIIILWBLW1hSOKNAsccagKqgYAAHQAdqfXqYTDU8HhoUIbRSX3HLWqyrVXOW7CiiiugzPxE/4OnfEPxXk/aD+HHhLU5L1fA6eEJbvSEMeLaXVGuZEujuH35FhFoMH7quMY3nP6pf8E5tY+Juv/sJfCfV/jFDcp4jn8D2B1EXkAilP7oCNnUYwxjCE8A5PIBzXD/8FIvgn8JvjnJ4K8O/F/wHYeIbGwXVb60tNQVikdwkUAWTCkZwGYYOQc8g1738Ff8AkjnhLgf8izYdB/07x18vl1Bw4kxkuZvSGnqv0tp6n6nxLxrg848N8oyKnhlCeGlUcp6a3f2evvXvO+8op69Omr8Nv+DozxR8XR+1Z4B8M6ndX8Xg218GfbPDihSsDai1zKt26sPvSKiWgPdQVxjdz+5NeV/tR/Cj9j/4o2XheL9rnRPB93BY+I4n8J/8JbexQKdSYHZHCZHXzXcD/VfMH2jKnAx6OeZfPM8ulQjPlbad3to+v9b2OHwr4uw/BHGdHNK2GdeMYzjyxSclzRavG/VbP+65Hwn8CPiL4J/aB/Zj8C6H+1J+1VL4o1HWtG02fxD4Q8Q+OrRoL28BSSOKe1XDSfvBG3lMTlgAwPIr6c/4Jeafp3h3w98T/BngCyit/AekfEmaLwfBZ26JaQM9nbS6hDbFOGiS/e5HGQshkQY27V9H/bi8CeDviB+zNr3grxp4cttR0rVb7SrbUbGdSEnifU7UMhKkHBHoQao/sDeA/Bvww+BMvw++Hvhy20jRNJ8S6hBp2m2akRwR+bnAySTkkkkkkkkkkmvn8tyyvgOI4wqV5VH7Nu77c1rbvTr6nNj+IMPjchxSjBw9tVuqat7KF2pc8dfj09mvdXuN+872Pa65H48eEfgv47+EGv8AhT9omy0W48E3diR4ij8Q3CxWQgVg+6WR2UIFZVYNkbSoIIIFddX5x/8ABzb4k+LGi/sLaJpfgeW9j8Pap41t4PGT2iZRoFikkgSZhysZnRD6F1QHnAP1OZ4qODy+pWlHmUU9O/r5d/I83gfI6vEnF2Cy2lW9jKrUilPZxtreO3vae7qvetqj7z+Dng74P+D/AIVeH/DPwO0rRofB9npUKeHE0R0ltDabcxtE6kiRWB3b8ndndkk5rqFVVAVVAA6ACvxb/wCCNXx51iH9kVvD3xP/AGv9V8L2ujeJLi08L6O3jW0sVisdkch2xyguV8+SbBPHUDgV+rX7NPizWPGfhy7164106pp1y0cunaiJxKk4dSS0bj5WQjaQV454rw8q4nwuY4inhoUpRbXlyqyvp5dFouh18a8LYnhriDG4SrXVV0qklz3d5a7u/wBrX3ld2d9Xuel0UUV9UfFBX87f7HHjr9qXU/8AgvFpHiPX01aXxzefFa7tfFsVxaAyx2G+SK8RkPCRR2gcDHCIi7egr+iSvjzwl8E/hLpv/BRe4+O9j4B0+PxjqPja8sL3xCEY3EtsuguBHydoGEQZABO0ZNfMcR0HVrYOSk1+9itPPr8rfifqfhvxrg+E8BnFCvhlVeKw8oRbt7r1Vnf7D5ryS1bjHTqvsOiiivpz8sCv5+/+DiDxd8dH/wCCn4sNRm1RLLRdF0l/hxGsB2hGjSR5IAB+8Y3omUtgktGF6Kor+gSvjj/gop8E/hN8T/i7pfjH4g+ArDV9T8KeDXu/Dl5eKzNYTm6J8xACFJyiH5gcFQRXzPFtF1cnbUrWlF+utv1v8j9Q8I+McHwRxY8wxOH9tGVKpC2l02k01fTXl5X/AHZS32f1R8KrzxfqHwv8N6h8Qbdodfn0Czk1yJ4whS8aBDMpUcKRIWGBwK36KK+liuWKR+Z1ZqrVlNJK7bstlfovJH55ftj/ABPn8MeP/wBpa/8AiT8QbvRrzRvDdkPCHnvFG1tph0oNaz2aPxKX1OS8Tdg7pUWPnAWug+Cnx5s7620OG4/bFvNe8QahpMMd1ok/jmzuTJdNErSqkMQDFwwbAU8YNfWPxJ/Zh/Z/+MHxH8LfF74nfCfSNa8S+CpzN4W1i9gLTafIWV9yEHBwyqy7gdrDIwea7hbW1Rt6W0YI6EIK+MrcLY2ti61WOKcFOTdlfZ9Hqttl5H2GP4iymtgMPTo4f95GMVNtRSTjCMEotXbUuVzk2k+aVrO3NKl4Qm1a48K6dPrqFbx7OM3AYYO7aM5HY+vvWjRRX2NKDp04wbvZJXfXzPjZS5pN2tc+V/22PFGs6X+1N8LNG8Q65PY+FpfD+vXNksjrHaXOuJ9lWNJHJGZFs5L5kTuPNYA7CV+b/wBnr47+BvFXww1G08aftoXS6TJ4o1y003RbzxvYW1vNo6388dvGYQAfKaAADkFkIOec1+g3x1/Z8+C/7TXgGT4XfHr4d6f4n0CS6iuW03UkYoJoySkilSGVhkjII4YjoSD0mjeGvD3h3R7Tw/oOiWtnY2FtHbWVpbwKkcEKKFSNVAwqqoAAHQCvlMfw3i8ZmVTEwxLgpJKyvfRWtutOvzZ9f/b+VRyCjhVh71ouzbUeWyc5Jp6tylzpSTSsoJpy5rQ8+/Zg8LjStA1fxQGk/wCJ5qEcy7sbCscEcQZOOQdvXn2r0+gAAYAor6LL8GsBgqeHTvyq1+58piKzxFeVS1rnx1/wXm8SfFjwx/wTJ8eXfwllvYpLh7O18QTafHmRNKlnVLnJHKoykI5H8Dtngk1+cX/BDL416/oPw38b+CPGn7UWp+DPDVhqdpP4f06PxZbafG1zMsv2pkWYFm4jgJx8oJz1Y5/dTxR4Y8PeNfDWoeDvFuj2+o6Vq1lLZ6lYXcYeK5glQpJG6nqrKxBHoa574LfAL4Nfs6/D61+FXwS+Hem+HfD9lLLJbaZYRHYryOXdiWJZiWJ5JJ6DoAK8TNshxWY5jHEUq7ppRtpe+/SzWj669D9NyfxBy7LfDLFcMVMGp1ataNRVHayS5b33fMuXlXTlnLa3veS/sf6J4b8QeIoPiD4T8S/2xp9ppF5bw6tb3yXUV5JcXEUksjTJkSSF4WJIP3mbI6Y+iaRESNdkaBQOwGKWvVynLv7Lwaoc/O7t3el7u/n+Z+bYvE/Wq3tLW209Arl/BPwu0rwRr2o65ZXbytfMRHGyACBC24qD357+gHuT1FFdVXC4evVhUnG8oXcX2urMxhVqQhKMXo9woooroMwooooA8o/aj8Nvrlpo88WkmaRGuLeO4jRmeMzKi7Rjj5to6jqor0TwXoKeFfB2k+F43dl03TILVWkILERxqmTjjPHatOivPoYBUMwrYrmu6iirduVW/E6KmIc8PClb4b/iFfht/wAHRnij4uj9qzwD4Z1O6v4vBtr4M+2eHFClYG1FrmVbt1YfekVEtAe6grjG7n9ya4T44/sx/AH9pa30W0+PPwp0jxTH4d1RdR0VNVgLi1uQMb1wRkEYypyrYGQcCsc7y6pmmXyw8JcrbT8tH1/rc+68L+MsHwHxhSzfFUPawjGcWlbmXNFq8b6X6P8Autnwb+yz8dbL4i/AH4f3vxw/bEu9X8R6jo2n3Gr+H9X8c2ZWa++R0R7dcPvEgjYJnO4DPORX3n+zt4Sbwn8OQsgmD6jqNzfukwwVMr5wBgcYAIz61232S1DbhbR5z12CpK4cqyGtl+MeIq4h1Hy8uq2V09232PmM3zenmdWpOnRjSU5uXLHZXb0SstFey8kFc/8AFT4V/Dv43fD7VPhV8WfCNnr3h3WrcQ6ppN+haK4QMGAOCCCGVWBBBBUEEEV0FFfRyjGcXGSumeRRrVcPVjVpScZRaaadmmtU01qmnqmtjB+HXwv+Hvwl8DaV8NPht4QsdH0HRLJLTStMs4QI7eFRwozkn1JJJJJJJJJrdVVUBVUADoAKWiiMYxSSVkhVatSvUlUqScpSbbbd229W23u31YUUUUyArxfS/h+br9p062dMkthYanNqjNCp2TM9m9qGYnOcrJ2xynsRXtFFefjsAsdOjJyt7Oan62vodFDEOgppK/MmvvCiiivQOcK8W/aY+Hg8c+LtO0waZIDqunHT2vbdT5mwyEsuTlRtB3DI7kngV7TRXn5ngFmWEdBy5VdO/o0zowuIeGq+0Svv+KCiiivQOcKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACvH/2zf26v2cv2CPh9p/xJ/aO8UX1jY6tqhsNMtdI0a41C7uZVhknlZILdGkKRQQyzSPjaiRsxIr2Cvgf/gtx4c+JegeIvg3+0f4P+C3ivx7pHg9fGuja5ofgvRJNSvkm1vwzd6fZTfZ48sYvtJSJ36RrPuPANAH3T4V8UeHvHHhfTfGvhHWINR0nWLCG90vULV90VzbyoJI5UPdWRlYH0NX68i/4J/8Awm8Z/Ab9hb4OfBP4ix7Nf8J/DDQtJ1uLeG8q7t7CGKWPI4IV1Zc99teu0AFcz8Zvi94G+AXwq1/4z/Eu/uLbQfDemyX2pzWljLcyiJBkiOKJWeRycBVUEkkAV01ch8fviBpXwr+Cfin4h63omtala6TolxPPYeHNGm1G+nAQjbBbQK0kznPCKCTQBF+zt8fPhz+1J8DvC/7Q/wAIr66ufDPi/SItS0Se9s3t5Xgk+6Xjf5kPHQ812lfIv/BCnXtSvf8Aglr8KPBviD4feLfDGseD/D8eg65pPjLwvdaTdJdwKrOUiuURpIv3g2ygbWIYA5Bx9dUAFJJIkUbSyMAqgliewpaSRxHG0jAkKCSAMk0AeJfslf8ABQr9mP8AbX8R+LfB3wM8Raw+reCpbb+29L8QeG7zS7j7PchzbXkUd1GjTW0wjkMcygq2047Z9ur4C/4JD/FnUP2nv2oPj3+1h8V/hB8RvB3jnxVeWOl6ZoPjH4e6hpFppHhXTpbmHTbeK5uYkju7mZpLi7n8skIbhEHCZP37QAUUUUAeI3X/AAUK/Zo0/wDbHsv2FtS1nXbXx3qcUx0trrwveR6XfTw2q3ktpDftGLeW4S3ZZWiVyyqecHivbq/Pb4z6d4p+Jv8AwXR+Dvin4XfB/wCLkd74Bt9asviHrXiXSrj/AIQyPQptIcwXemyyFrcXsl3LDCXg2zFY5EkG1RX6E0AFFFFAHln7WH7ZfwC/Yq8J+HfGX7QHiqXTLTxX4xsPC+gpbWb3Et3qV45WGJUQE4+VmZuiqpJr1Ovy+/4OD/gl+2x8SfE3gL4gfAv9l5fib4U8Jy6M1nDaeJha3Wla5J4n0uV7j7KsEslwrW1oluZhtW2iubmVtyqy1+nenTXtxp8E+o2a29w8KtPbrLvETkAsobA3YORnAzigCaiiigDzT9rD9q74V/safCgfGL4vW2vXGmya1ZaTa2XhjQJ9Uv7u8u5hDBDDbW6tJK7uwUBQTzXU/CT4l6P8ZPhponxT8P6Jrem2Wu6el3bWHiTRptOv4EYcJPbTqskDjujgEV4V/wAFYfCHwh8ZfsofZPjj4O+LuseH7HxXpmoyH4H2txL4hsbi3lMtvdQi2/fqqTLHl4fnUlTwoYjU/wCCUy/tJp/wTv8AhOv7XjayfiF/wjC/28fEjZ1Lb50n2b7Wev2n7N5Hm558zfnnNAH0HRRRQBW1nWNK8PaRd+INd1CG0sbG2kuLy7uJAscMSKWd2Y8BQoJJ7AV5d+yD+2x8B/25PAl98Sf2f7/W7nSLK/Futzrfhq7037WjRrJFdW4uY0M9tKjBo5kyjjODwRV39tb4a+L/AIz/ALG/xZ+D/wAPiP7e8VfDTXdI0TL7Qbu50+eGEZPT53Xmvj//AIN6PDX7Q/hH4LeN/D3xN034s2PguxuPD1p4K074yrOuqWt9FodrHrccC3H7xLBdQV1gUfugqt5fyYoA/Q2iiigAr58+Ef8AwUu/Z5+Mn7WWqfsWaJ4a+IOkeONMsdRvvK8U/D7UNMs721srlLae4trm4jWO4i8yRAskZKuGBBORX0HXyh+zn4H8Z/Eb/gqh8fP2m/GnhPVLDSfCfhfw/wDDf4f3WpafLAl7AqPq2qXNuZFAlia5u7eHzEypazIzlTQB9X0UUUAFeBfGr/gph+yR+z9+1D4Z/ZB+JfjPU7bxj4ofT0tVtfD91cWNk9/PJb2CXd3GhitWuZopI4hIwLspAr32vyg/4KR/Bv44+Kv+CzXw/wDG/h34E+OtXmj1D4dt4B1nQNCkm8My2tprV/Nr767Ko8rzba1ljltDOd0bvuh+YmgD9X6KKKAP/9k=", 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", 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", "info": {"equation": "209/19=11", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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hHHtiS3FpNGIgo6KE+UAdBXyVXCTnn2L99rmo/dfT8LX+bP0XKOI8ryvB5biHhlOpQrQlJNR5ZRpzlPR7tz51GV1Zcid5XtD4O/4NUtY+JkvgP4uaDfRXP/CGwavps+mSNABD/abxSrchXxkt5KWhZc8DYeN3P63186f8E7/hB8Mfgb4d8ZfD34Q+CbLw/osOv288enWCtsEklnCXcliWYk45JPAA6ACvouvV4ag4ZHQV76X+9t/gcXiXxFhuLOOMZmtCl7KFSStHS/uxjG7tpzStzStfVvV7nx1/wXm8R/Fjwz/wTJ8eXfwmlvY5Ll7O18QTafHmRNKlnVLnJHKoykI5H8Dtngk1+b3/AAQt+MOq+Gfh3498HeLP2mb/AMEeHbfVrS60exg8U2unJNeSxyLcyASgs52Q2wPYYHcmv3T8a6N4S8R+DdW8P+P7KyudCvtNng1q31Hb9nktHjZZVl3cbChYNnjGa4/9mP4dfszfDz4NaZ4b/ZQ0rwzF4HWWeTTG8L3cd1Zyu0reayzKziRvMDAncSCu3jbgcmbZFiMxzKNeniHTtG2l779LNaO+vyPdyfj3B5b4XYvhyeC551a8ZqrZcqVouzdm+f3Go94yltbX47/Zu8GfBzwF+2h8Ktb/AGaBp9zqHiW38Qjxvq+j3EV9Lq+jmGSeW8vrkFmkb+1VtAJicmSR484+UfoPXx5+xv8ABH4SfDv9rjXviP4I8AafpmveK18Uy+ItVtkbzb9l1mAguSSAMsThQATyRwK+w6rhOi6GWSi5N+/Lfydv0v6s+S4tzKGZY2i4uUuSnGLlP4pNuU23rLbm5I3k24xT0+FFcX8d/F0XhXwFcRm5WKS+zAJGbASPGZGJzwAoPPbIrtK+Z/2lb2b48ePtH+CmhNM1nr+pDSr2aNgvl2ChptRkyUcDdBG0K5HLypgjOR1Z/ip0cD7Gk/3lV8kfno38l+h4eX0lOvzy+GGr+R2X7Eng02nwxufi/qdn5eo+P70asC8SCSPTgoj0+ElWbIFuqSkZ4e4l4GSK9mpkEEFrAlrawpHFGgWOONQFVQMAADoAO1Pr1MJhqeDw0KENopL7jlrVZVqrnLdhRRRXQZn4if8AB074h+K8n7Qfw48JanJer4HTwhLd6QhjxbS6o1zIl0dw+/IsItBg/dVxjG85/VL/AIJzax8Tdf8A2EvhPq/xihuU8Rz+B7A6iLyARSn90BGzqMYYxhCeAcnkA5rh/wDgpF8E/hN8c5PBXh34v+A7DxDY2C6rfWlpqCsUjuEigCyYUjOAzDByDnkGve/gr/yRzwlwP+RZsOg/6d46+Xy6g4cSYyXM3pDT1X6W09T9T4l41weceG+UZFTwyhPDSqOU9Nbv7PX3r3nfeUU9enTV+Gn/AAdI+I/ixP8AtUeA/CetyXq+CoPBRuvD8TR4tnv3uZVvGU/xyBFtAc8qCvTdz+5deV/tR/Cj9j/4o2XheL9rnRPB93BY+I4n8J/8JbexQKdSYHZHCZHXzXcD/VfMH2jKnAx6Oe5fPM8ulQjPlbad3to+v9b2OHwr4uw/BHGdHNK2GdeMYzjyxSclzRavG/VbP+65Hwh8AfH3gH47/sueAvDP7TX7UbeJLzVtD0yXXfBmu+N7M213dKUeKCa0TaXAkWM+SeCygMp5FfT/APwS80/TvDvh74n+DPAFlFb+A9I+JM0Xg+Czt0S0gZ7O2l1CG2KcNEl+9yOMhZDIgxt2r6P+3F4E8HfED9mbXvBXjTw5bajpWq32lW2o2M6kJPE+p2oZCVIOCPQg1R/YG8B+Dfhh8CZfh98PfDltpGiaT4l1CDTtNs1Ijgj83OBkknJJJJJJJJJJNfPZbllfL+I4wqV5VH7Nu77c1rbvTr6nNj+IMPjchxSjBw9tVuqat7KF2pc8dfj09mvdXuN+872Pa65H48eEfgv47+EGv+FP2ibLRbjwTd2JHiKPxDcLFZCBWD7pZHZQgVlVg2RtKggggV11fnH/AMHNviT4saL+wtoml+B5b2Pw9qnjW3g8ZPaJlGgWKSSBJmHKxmdEPoXVAecA/VZnio4PL6laUeZRT07+vl38jzeB8jq8ScXYLLaVb2MqtSKU9nG2t47e9p7uq962qPvP4OeDvg/4P+FXh/wz8DtK0aHwfZ6VCnhxNEdJbQ2m3MbROpIkVgd2/J3Z3ZJOa6hVVQFVQAOgAr8W/wDgjV8edYh/ZFbw98T/ANr/AFXwva6N4kuLTwvo7eNbSxWKx2RyHbHKC5Xz5JsE8dQOBX6tfs0+LNY8Z+HLvXrjXTqmnXLRy6dqInEqTh1JLRuPlZCNpBXjnivDyrifC5jiKeGhSlFteXKrK+nl0Wi6HXxrwtieGuIMbhKtdVXSqSXPd3lru7/a195XdnfV7npdFFFfVHxQV/O3+xx46/al1P8A4LxaR4j19NWl8c3nxWu7XxbFcWgMsdhvkivEZDwkUdoHAxwiIu3oK/okr488JfBP4S6b/wAFF7j472PgHT4/GOo+NrywvfEIRjcS2y6C4EfJ2gYRBkAE7Rk18xxHQdWtg5KTX72K08+vyt+J+p+G/GuD4TwGcUK+GVV4rDyhFu3uvVWd/sPmvJLVuMdOq+w6KKK+nPywK/n7/wCDiDxd8dH/AOCn4sNRm1RLLRdF0l/hxGsB2hGjSR5IAB+8Y3omUtgktGF6Kor+gSvjj/gop8E/hN8T/i7pfjH4g+ArDV9T8KeDXu/Dl5eKzNYTm6J8xACFJyiH5gcFQRXzPFtF1cnbUrWlF+utv1v8j9Q8I+McHwRxY8wxOH9tGVKpC2l02k01fTXl5X/dlLfZ/VHwqvPF+ofC/wAN6h8Qbdodfn0Czk1yJ4whS8aBDMpUcKRIWGBwK36KK+liuWKR+Z1ZqrVlNJK7bstlfovJH55ftj/E+fwx4/8A2lr/AOJPxBu9GvNG8N2Q8Iee8UbW2mHSg1rPZo/EpfU5LxN2DulRY+cBa6D4KfHmzvrbQ4bj9sW817xBqGkwx3WiT+ObO5Ml00StKqQxAMXDBsBTxg19Y/En9mH9n/4wfEfwt8Xvid8J9I1rxL4KnM3hbWL2AtNp8hZX3IQcHDKrLuB2sMjB5ruFtbVG3pbRgjoQgr4ytwtja2LrVY4pwU5N2V9n0eq22XkfYY/iLKa2Aw9Ojh/3kYxU21FJOMIwSi1dtS5XOTaT5pWs7c0qXhCbVrjwrp0+uoVvHs4zcBhg7tozkdj6+9aNFFfY0oOnTjBu9kld9fM+NlLmk3a1z5X/AG2PFGs6X+1N8LNG8Q65PY+FpfD+vXNksjrHaXOuJ9lWNJHJGZFs5L5kTuPNYA7CV+b/ANnr47+BvFXww1G08aftoXS6TJ4o1y003RbzxvYW1vNo6388dvGYQAfKaAADkFkIOec1+g3x1/Z8+C/7TXgGT4XfHr4d6f4n0CS6iuW03UkYoJoySkilSGVhkjII4YjoSD0mjeGvD3h3R7Tw/oOiWtnY2FtHbWVpbwKkcEKKFSNVAwqqoAAHQCvlMfw3i8ZmVTEwxLgpJKyvfRWtutOvzZ9f/b+VRyCjhVh71ouzbUeWyc5Jp6tylzpSTSsoJpy5rQ8+/Zg8LjStA1fxQGk/4nmoRzLuxsKxwRxBk45B29efavT6AABgCivosvwawGCp4dO/KrX7nymIrPEV5VLWufHX/BebxJ8WPDH/AATJ8eXfwllvYpLh7O18QTafHmRNKlnVLnJHKoykI5H8Dtngk1+cX/BDL416/oPw38b+CPGn7UWp+DPDVhqdpP4f06PxZbafG1zMsv2pkWYFm4jgJx8oJz1Y5/dTxR4Y8PeNfDWoeDvFuj2+o6Vq1lLZ6lYXcYeK5glQpJG6nqrKxBHoa574LfAL4Nfs6/D61+FXwS+Hem+HfD9lLLJbaZYRHYryOXdiWJZiWJ5JJ6DoAK8TNshxWY5jHEUq7ppRtpe+/SzWj669D9NyfxBy7LfDLFcMVMGp1ataNRVHayS5b33fMuXlXTlnLa3veS/sf6J4b8QeIoPiD4T8S/2xp9ppF5bw6tb3yXUV5JcXEUksjTJkSSF4WJIP3mbI6Y+iaRESNdkaBQOwGKWvVynLv7Lwaoc/O7t3el7u/n+Z+bYvE/Wq3tLW209Arl/BPwu0rwRr2o65ZXbytfMRHGyACBC24qD357+gHuT1FFdVXC4evVhUnG8oXcX2urMxhVqQhKMXo9woooroMwooooA8o/aj8Nvrlpo88WkmaRGuLeO4jRmeMzKi7Rjj5to6jqor0TwXoKeFfB2k+F43dl03TILVWkILERxqmTjjPHatOivPoYBUMwrYrmu6iirduVW/E6KmIc8PClb4b/iFfht/wdGeKPi6P2rPAPhnU7q/i8G2vgz7Z4cUKVgbUWuZVu3Vh96RUS0B7qCuMbuf3JrhPjj+zH8Af2lrfRbT48/CnSPFMfh3VF1HRU1WAuLW5AxvXBGQRjKnKtgZBwKxzvLqmaZfLDwlyttPy0fX+tz7rwv4ywfAfGFLN8VQ9rCMZxaVuZc0Wrxvpfo/7rZ8G/ss/HWy+IvwB+H978cP2xLvV/Eeo6Np9xq/h/V/HNmVmvvkdEe3XD7xII2CZzuAzzkV95/s7eEm8J/DkLIJg+o6jc37pMMFTK+cAYHGACM+tdt9ktQ24W0ec9dgqSuHKshrZfjHiKuIdR8vLqtldPdt9j5jN83p5nVqTp0Y0lOblyx2V29ErLRXsvJBXP8AxU+Ffw7+N3w+1T4VfFnwjZ694d1q3EOqaTfoWiuEDBgDggghlVgQQQVBBBFdBRX0coxnFxkrpnkUa1XD1Y1aUnGUWmmnZprVNNapp6prYwfh18L/AIe/CXwNpXw0+G3hCx0fQdEsktNK0yzhAjt4VHCjOSfUkkkkkkkkmt1VVQFVQAOgApaKIxjFJJWSFVq1K9SVSpJylJttt3bb1bbe7fVhRRRTICvF9L+H5uv2nTrZ0yS2Fhqc2qM0KnZMz2b2oZic5ysnbHKexFe0UV5+OwCx06MnK3s5qfra+h0UMQ6Cmkr8ya+8KKKK9A5wrxb9pj4eDxz4u07TBpkgOq6cdPa9t1PmbDISy5OVG0HcMjuSeBXtNFefmeAWZYR0HLlV07+jTOjC4h4ar7RK+/4oKKKK9A5wooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK8f/bN/bq/Zy/YI+H2n/En9o7xRfWNjq2qGw0y10jRrjULu5lWGSeVkgt0aQpFBDLNI+NqJGzEivYK+B/8Agtx4c+JegeIvg3+0f4P+C3ivx7pHg9fGuja5ofgvRJNSvkm1vwzd6fZTfZ48sYvtJSJ36RrPuPANAH3T4V8UeHvHHhfTfGvhHWINR0nWLCG90vULV90VzbyoJI5UPdWRlYH0NX68i/4J/wDwm8Z/Ab9hb4OfBP4ix7Nf8J/DDQtJ1uLeG8q7t7CGKWPI4IV1Zc99teu0AFcz8Zvi94G+AXwq1/4z/Eu/uLbQfDemyX2pzWljLcyiJBkiOKJWeRycBVUEkkAV01ch8fviBpXwr+Cfin4h63omtala6TolxPPYeHNGm1G+nAQjbBbQK0kznPCKCTQBF+zt8fPhz+1J8DvC/wC0P8Ir66ufDPi/SItS0Se9s3t5Xgk+6Xjf5kPHQ812lfIv/BCnXtSvf+CWvwo8G+IPh94t8Max4P8AD8eg65pPjLwvdaTdJdwKrOUiuURpIv3g2ygbWIYA5Bx9dUAFJJIkUbSyMAqgliewpaSRxHG0jAkKCSAMk0AeJfslf8FCv2Y/21/Efi3wd8DPEWsPq3gqW2/tvS/EHhu80u4+z3Ic215FHdRo01tMI5DHMoKttOO2fbq+Av8AgkP8WdQ/ae/ag+Pf7WHxX+EHxG8HeOfFV5Y6Xpmg+Mfh7qGkWmkeFdOluYdNt4rm5iSO7uZmkuLufyyQhuEQcJk/ftABRRRQB4jdf8FCv2aNP/bHsv2FtS1nXbXx3qcUx0trrwveR6XfTw2q3ktpDftGLeW4S3ZZWiVyyqecHivbq/Pb4z6d4p+Jv/BdH4O+Kfhd8H/i5He+AbfWrL4h614l0q4/4QyPQptIcwXemyyFrcXsl3LDCXg2zFY5EkG1RX6E0AFFFFAHln7WH7ZfwC/Yq8J+HfGX7QHiqXTLTxX4xsPC+gpbWb3Et3qV45WGJUQE4+VmZuiqpJr1Ovy+/wCDg/4JftsfEnxN4C+IHwL/AGXl+JvhTwnLozWcNp4mFrdaVrknifS5XuPsqwSyXCtbWiW5mG1baK5uZW3KrLX6d6dNe3GnwT6jZrb3Dwq09usu8ROQCyhsDdg5GcDOKAJqKKKAPNP2sP2rvhX+xp8KB8Yvi9ba9cabJrVlpNrZeGNAn1S/u7y7mEMEMNtbq0kru7BQFBPNdT8JPiXo/wAZPhponxT8P6Jrem2Wu6el3bWHiTRptOv4EYcJPbTqskDjujgEV4V/wVh8IfCHxl+yh9k+OPg74u6x4fsfFemajIfgfa3EviGxuLeUy291CLb9+qpMseXh+dSVPChiNT/glMv7Saf8E7/hOv7XjayfiF/wjC/28fEjZ1Lb50n2b7Wev2n7N5Hm558zfnnNAH0HRRRQBW1nWNK8PaRd+INd1CG0sbG2kuLy7uJAscMSKWd2Y8BQoJJ7AV5d+yD+2x8B/wBuTwJffEn9n+/1u50iyvxbrc634au9N+1o0ayRXVuLmNDPbSowaOZMo4zg8EVd/bW+Gvi/4z/sb/Fn4P8Aw+I/t7xV8NNd0jRMvtBu7nT54YRk9Pndea+P/wDg3o8NftD+Efgt438PfE3TfizY+C7G48PWngrTvjKs66pa30Wh2setxwLcfvEsF1BXWBR+6Cq3l/JigD9DaKKKACvnz4R/8FLv2efjJ+1lqn7FmieGviDpHjjTLHUb7yvFPw+1DTLO9tbK5S2nuLa5uI1juIvMkQLJGSrhgQTkV9B18ofs5+B/GfxG/wCCqHx8/ab8aeE9UsNJ8J+F/D/w3+H91qWnywJewKj6tqlzbmRQJYmubu3h8xMqWsyM5U0AfV9FFFABXgXxq/4KYfskfs/ftQ+Gf2QfiX4z1O28Y+KH09LVbXw/dXFjZPfzyW9gl3dxoYrVrmaKSOISMC7KQK99r8oP+Ckfwb+OPir/AILNfD/xv4d+BPjrV5o9Q+HbeAdZ0DQpJvDMtraa1fza++uyqPK822tZY5bQzndG77ofmJoA/V+iiigD/9k=", 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", "info": {"equation": "209/19=11", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "5ef457290a42d15bda791c80afa4befb20e979c85af8686133b28f883fb243c4"} +{"episode": 30672, "episode_seed": 425066527, "split": "train", "timestamp": "2025-10-28T03:46:27.018437", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 425066527, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 1, 2, 7])", "action": "('move', [0, 1, 2, 7])", "reward": 0.0, "image": 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", 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2OdG0nw5+zR4T8PaBp0NnYWFlJbWVpboFjghjnkRI1A6KqgAD0FemV9/lkXDLqMW72jHX5I/JM8xkMwznEYmMeVTnJ29W9/Pv5n5G/wDB1R4j+LFr4O+E/hXT5b1PBF7f6jPqoiT/AEeXU40iFsJGH8Qie4KqeuXIzjiD/gn98XdH+Jn7BHhnwl+0v+17fpHdaZc6Xe+GNS8f21pFLpKSPBDbSR5WURNbqqEFgzIeuDX6Y/tWfDv9lz4m/B668O/thWHhifwUl5BPct4tv0tbSK4V8RP5zugjfc20EMCdxXkMQV+PPhXwdB+yl4y8MaPodimjJ8PtQtLWztolEAtRYyIsaBeAmzAAHGOlfN5nw/icVj62JhiXBOK0V76K1nqtNPz0P0mfiBhJ+G+XcPLB8tShWlP22murfuvfn99c2qsow1193wX/AIJx+HPC3gL9oH4t+BPgxollp3giLT9CvLuw0azijsLbX5EuUuVjMYwJGtItPeSMfdyjYG/n7Br50/4J3/CD4YfAzw74y+Hvwh8E2Xh/RYdft549PsFbZ5sllCXcliWZjgckngAdABX0XXq8MwcMjoK99L/e2/wPg+K8dTzDPatandq0Y3l8UuWEY80rN2lK12ryte3NLd/HX/BebxJ8WPDH/BMnx5d/CWW9ikuHs7XxBNp8eZE0qWdUuckcqjKQjkfwO2eCTX5xf8EMvjXr+g/Dfxv4I8aftRan4M8NWGp2k/h/To/Fltp8bXMyy/amRZgWbiOAnHygnPVjn91PFHhjw9418Nah4O8W6Pb6jpWrWUtnqVhdxh4rmCVCkkbqeqsrEEehrnvgt8Avg1+zr8PrX4VfBL4d6b4d8P2UssltplhEdivI5d2JYlmJYnkknoOgArlzbIcVmOYxxFKu6aUbaXvv0s1o+uvQ+xyfxBy7LfDLFcMVMGp1ataNRVHayS5b33fMuXlXTlnLa3vcR+yh461Hx1bS6lYeOn8S6N9hRYNY/tBLpJpEITIlj+RmIVt2O46Zr2akREjXZGgUDsBilr18swU8vwiozqObTbu99Xfu/wAz80xVeOIrOcY8q7I5n4033jfS/g54s1P4Z2zzeJLfwzfy+H4Y4RIz3y27mBQrcMTIEGDwelfzr/8ABJD4t/ELw5+3Rdan4k+NWqeFI/EGm6kfG+tyazFZTTthpgJZrgHDNdCMkfeJJ7Zr+k6vjr9h74G/CH4d/tM65468E/DzTtN1nxZpviG68SajDGxlv5hrFuQzliccuxwuBluleBxLgqmLx2EjCo4NuSuuml7rVa6WP0/gTjjA8NcI51llbCqrLFQioydtLNr3r9Fzc0bbTS73Xgvxw0b4Iavolx8dfht44s/GnxXtPE+h/wDCJeKv7ZttX1casl0iWNlEwJCxuDMGgUBWRppGBKl1/T+vjn48/A74Q69+3dp3xr1n4fadc+K9C1jwra6PrkqMZrSF7wblQZ2jPmPzjPzHBr7Gq+GMLPCVcVCU3NqdrvrZb9dXfX0PleIs1p47LsFRi5NwjJty6c3KlTjq/cgoXj8OspWit2V/OB+3b8UP2idH/wCC0/ifxf4g8T6ppHibR/iclp4dvpSkD2OlrKI7Noi/yJGbR0cMeCJC55Ymv6P68q1/4S/se6h+1fo/xP8AEmg+Dn+MdtoDx6LPc3kQ1c6f+9RnjgL7nQBpk8zYcAsu7AxXfn2V1M1oU4QqcnLJO/8Al5rofSeFvHGE4HxuOrV8H9YVbDzppWTs3Z+9f/l27Wn5WetrHyB4+0v9kb48NJH8a/jjpPxJtdJ0u+aG18VeNLTUItNtnjAubmONCojYRqMzkbowCVZckn60/wCCf+qeOdZ/Yr+GepfEdr1tWk8JWvmSalaiG4khC4t5JUAAV2gETMMDknIB4rzz/go/8C/g/wDG+TwX4e+Lfw807X7GxXVb60tL6NtiXCRQBXwpG7AZhg5BzyDXvvwV/wCSOeEuB/yLNh0H/TvHXlZDgauCzrEwqVXNqMNX1vr3e1rLU+ezPN6WI4YoYVczfO5WduWmo8ytT1fxuXNPSKvGPxbrpq8r/aj+FH7H/wAUbLwvF+1zong+7gsfEcT+E/8AhLb2KBTqTA7I4TI6+a7gf6r5g+0ZU4GPVK/Db/g6M8UfF0ftWeAfDOp3V/F4NtfBn2zw4oUrA2otcyrdurD70ioloD3UFcY3c+3nmPhl2XSrShzq6Vntq+v9b2PV8K+FMRxnxnRy6jinhpOM5e0jfmXLF6Rs1dvZ6r3eZ9LH7i/ZLUNuFtHnPXYKkr83v2O/2lr7XPgn8PvEvxO/bX1C78Xah4ftG1bRtR8d2R826lj2+W8AAfcdw+XO7djvX3/8J7vXL3wDp9z4haRrlkb55s72TcdpbPOduPrXLlXEWGzfEujSpyVle7t3Sto33PlM3yWtk9epSqTjLkm4Xi7p2bV15O2h0VFFFfQninj3/BQTxB8VvCn7EfxS8SfA97xPFdl4KvpdGk06PfcRyCI5eIdd6puZccggEZOK/J3/AINZtb+J6ftO/EjQ9MS6fwjc+C4rjXpBAGiXUEu0Fnuc8q5jkvcD+IBifu1+31+xWxmZTyImI/I18j/8EwPgl8Jfgnf6zafCfwDYaDHrfg7Q9Q1YWKtm6uma6BkcsSSfboMnAGTXzGaUJS4hwU+Zr49PRX/G9n5H6nwxxrg8n8OM4yKphlOeJdNxnppZr4uvu25oW2k29Ov17Xh3/BSvxH8WPCP7BPxW8SfA971PE9n4Oun06XTY91xEuAJpIx1DrCZGBHIK5HIFe40kkaSo0UqBlYEMrDII9DX0Vem61GVNO101ftdbn53leMjl2Z0MXKmpqnOMnF7S5ZJ8r8naz8j+eD/ghf8AFXXPBPxS8beG9R+Pd74H8MXvh+K6vJLbxBbaet1fxzqkALzAliI5Ln5V+p6Cv0C0TQ/hDoPx3+GnxX/Z/wDE1rrnxA8Q/Fm2ttR8T6dqcOpajrdlKoGrRXcysTJbxWKCQrwsBhgKhCRu+yf2U/hJ+x78L/Bur6b+x7oHg620O51+aXWf+ERvIrmH+0QiLIkjo7hXVQg8vI2gjCjNeH+EPgh8ItK/4KK3Hx0074fadF4w1DxteWF54gVG8+S2XQXAj5O1RhEGQATtGTX51PIMTl31RyxDknUiklflV23da/otz9k4p8QsFxHxnj81p4edCMqTXJZc1RqCjy1tUuV7y+LRKNteZfYtFFFfpR+GH81f7O/xo/aK0L/grNN4w+I/xQ1rwp4q1jxze2Hj/VZL6OxmhtjM32qGRpPkjRViAC9F8tNvKrX68eAJvAnxq1q68LaB8epvHOpahbJa3EzeKLfUbmzti+DtEQxGmWJJYYz3rW+HnwP+Eek/8FBbr436f8P9Pi8Xax401Wy1LXtjGee3XS5QsZySoGI0+6ATtGc19hx28ER3RQop9VUCvzjLeHa2OjVviZKMakk47p8rWr1td+h+x+JfiFgOLMxwmJw2CVH2eHhB7bq90rL4I3tFb27Xsn0UUV+jn44fnl+2P8T5/DHj/wDaWv8A4k/EG70a80bw3ZDwh57xRtbaYdKDWs9mj8Sl9TkvE3YO6VFj5wFrS+F/xT8JeNLbwzB4p/asl8V6+1pBL/YN/wCN7O7H29rfEhSCLBLrulAAzgE8V9f/ABJ/Zh/Z/wDjB8R/C3xe+J3wn0jWvEvgqczeFtYvYC02nyFlfchBwcMqsu4HawyMHmu4W1tUbeltGCOhCCvisRwpi8Riq9T604xqNuyTd0+j1W2y30PtcdxHlVXA4eFDD/vIxjztqKScYRguRq7alyucm0nzStZ25pc38FvCR8D/AAt0bwyxl3QWxdhPjeGkdpCDgDGC5GPauooor7ChSVCjGmvspL7lY+MnJzm5dz8jf+DqjxH8WLXwd8J/Cuny3qeCL2/1GfVREn+jy6nGkQthIw/iET3BVT1y5GccSf8ABOL47p4p/Yh8Iaf8fP2xr+2uPsVxp8nh3UvHVnbxnTI5XhggeFvn8swKq4JDFe/INfp78df2ffgv+014Ak+F3x6+Hen+J9AluorltN1JGKCaMkpIpUhlYZIyCOGI6Eiuk0bw14e8PaPaeH9C0S1tLGwto7eytLeBUjgiRQqIqgYCqoAAHQCvlsfw3i8ZmVTEwxLpqSSsr30VrbrTr82fqmJ8Q8ur+GmB4ZWCXtaFWc3U0s0+Zq2jfM+a0r6WhHfaPnv7MHhcaVoGr+KA0n/E81COZd2NhWOCOIMnHIO3rz7V6fQAAMAUV9Fl+DWAwVPDp35Va/c/L8RWeIryqWtcKKKK7DEKKKKAOX+N1/450r4L+L9U+GFs83iW28L6hL4dhihEjSXy20hgUK3DEyBBg8HpX5vWfxv8LeG7n4A2PhT9pm+0CLV/DV+/iDU18QWttc3Vn9hRpJbqWbJjlOoxwqw4Jl85SPkYL+pNcD8LP2W/2efgl4y8U/EL4UfCPRtC1rxtffbPFOo2NtiTUZ98j73ySB88sjYXAJcnGa+dzvJcRmtejOnWdPkvte+vVarXpvsfV5FneWZdluIo4mjzzldw0jZtxlC029Uo83PCyfvKzSvzR+ffgJH4N+LPjW0bwt8XZPGk9vrtje6pqy6/BqM8YtpVmijkeL5UT92QAQCdzYOTx9gU2OGGHPlRKueu1cU6urJsqllVKcZVXUcndt+iXd/meBjMWsXOLUeVJWsFfzi/tx/F39pXwz/wWq8U+NNT8ZaxoXijSfiSLDw/qHmrbSWekGQQ2vllvkSJrORTuPyssrM33mr+jquD1b9mD9n7Xfjvp/7TusfCbR7jx9pemmwsPFElvm5htyJFKA5xnbLIu4jcFYjOOKzz3Ka2bUacKdTkcZJ3/rquh+heGPHmA4DxmNrYrCquq9CdJLTRuzSd/sStaaWtraO1j5Y8LeMfh78QfFI0fRv2lJfHWqPazQ6fYXHjC21GWFHwJGiihAbJAXJweAK+0PBegp4V8HaT4Xjd2XTdMgtVaQgsRHGqZOOM8dq0EtreNt0duin1VAKfU5PktTK6tSpUrOpKdtX5X83fc+AxmNjioRjGCio328/kgrhPjj+zH8Af2lrfRbT48/CnSPFMfh3VF1HRU1WAuLW5AxvXBGQRjKnKtgZBwK7uivbnCFSLjNJrs9TnwuKxWCrqvh6jhNbSi3Frpo1ZrTQj+yWobcLaPOeuwVJRRVmAUUUUARXqyPZypDGruYmCIx4Y44B9q8g/Za8AJ4c1PV9cjsJrRF0+00qG1ZSEjS3aZgoyM5Hm7Tz2HevZKK8/EYBYjH0cS5W9nzad+ZW/A6KeIdPDzpW+K2vo7hXh/wDwUr8R/Fjwj+wT8VvEnwPkvU8T2fg66k06bTY91xEuAJpIx1DrCZGBHIK5HIFe4UkkaSo0UqBlYEMrDII9DXXXputRlTTtdNX7XW5vleMjl2Z0MXKmpqnOMnF7S5ZJ8r8naz8j+eT/AIIZfGDxP4M+JHjPwZqn7Quo+CPCNxoiX1wkHiO30+KfUVmjjiOZgct5TTZC9Qo3fdWv14/ZWsPCnj/x1pfi3wj8QD4oh0nUbm9vddi1aK+NxctayW5E00eVLBJl+UYICr2Bz7R8Cf2YP2ff2ZPD1/4U+Afwm0fwtp2qam+oX9rplvtWa5ZVUudxJ+6qgAcADgCu6jijiG2KNVHooxXx+A4UxOGnRlVxLahJS5bPlunfS7/TufoHiRx7geNOJ8TmeEwvso1VGKvbmdoqN5W0u7d9kuw6iiivtT8wPyquPjfq2gfCH4X6x4o+Ol/4c8e6r8WpIfGd3LqVtaXsF4Z7sazBN5uRbxwxu6jAGxRbgffXd9PfAH4vx+IvFUOgfD/9pC58cXX2yGaa1l8VW+ovDHnYciDBWMgnJYY75GK968Pfsu/s9+FPjhrX7Sfh34SaNaeOvEVktprXiaK3/wBJu4QIxtY5wM+TFkgAtsXJOK7qO3giO6KFFPqqgV8Rh+E8bSk28XJLmvZX11vd6rV9dHr3Pts+4jynH1lPCYblvdyuopqU224xtf3IfDHZtXdo35U+iiivtz4kKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACvH/wBs39ur9nL9gj4faf8AEn9o7xRfWNjq2qGw0y10jRrjULu5lWGSeVkgt0aQpFBDLNI+NqJGzEivYK+B/wDgtx4c+JegeIvg3+0f4P8Agt4r8e6R4PXxro2uaH4L0STUr5Jtb8M3en2U32ePLGL7SUid+kaz7jwDQB90+FfFHh7xx4X03xr4R1iDUdJ1iwhvdL1C1fdFc28qCSOVD3VkZWB9DV+vIv8Agn/8JvGfwG/YW+DnwT+IsezX/Cfww0LSdbi3hvKu7ewhiljyOCFdWXPfbXrtABXM/Gb4veBvgF8Ktf8AjP8AEu/uLbQfDemyX2pzWljLcyiJBkiOKJWeRycBVUEkkAV01ch8fviBpXwr+Cfin4h63omtala6TolxPPYeHNGm1G+nAQjbBbQK0kznPCKCTQBF+zt8fPhz+1J8DvC/7Q/wivrq58M+L9Ii1LRJ72ze3leCT7peN/mQ8dDzXaV8i/8ABCnXtSvf+CWvwo8G+IPh94t8Max4P8Px6Drmk+MvC91pN0l3Aqs5SK5RGki/eDbKBtYhgDkHH11QAUkkiRRtLIwCqCWJ7ClpJHEcbSMCQoJIAyTQB4l+yV/wUK/Zj/bX8R+LfB3wM8Raw+reCpbb+29L8QeG7zS7j7PchzbXkUd1GjTW0wjkMcygq2047Z9ur4C/4JD/ABZ1D9p79qD49/tYfFf4QfEbwd458VXljpemaD4x+HuoaRaaR4V06W5h023iubmJI7u5maS4u5/LJCG4RBwmT9+0AFFFFAHiN1/wUK/Zo0/9sey/YW1LWddtfHepxTHS2uvC95Hpd9PDareS2kN+0Yt5bhLdllaJXLKp5weK9ur89vjPp3in4m/8F0fg74p+F3wf+Lkd74Bt9asviHrXiXSrj/hDI9Cm0hzBd6bLIWtxeyXcsMJeDbMVjkSQbVFfoTQAUUUUAeWftYftl/AL9irwn4d8ZftAeKpdMtPFfjGw8L6CltZvcS3epXjlYYlRATj5WZm6KqkmvU6/L7/g4P8Agl+2x8SfE3gL4gfAv9l5fib4U8Jy6M1nDaeJha3Wla5J4n0uV7j7KsEslwrW1oluZhtW2iubmVtyqy1+nenTXtxp8E+o2a29w8KtPbrLvETkAsobA3YORnAzigCaiiigDzT9rD9q74V/safCgfGL4vW2vXGmya1ZaTa2XhjQJ9Uv7u8u5hDBDDbW6tJK7uwUBQTzXU/CT4l6P8ZPhponxT8P6Jrem2Wu6el3bWHiTRptOv4EYcJPbTqskDjujgEV4V/wVh8IfCHxl+yh9k+OPg74u6x4fsfFemajIfgfa3EviGxuLeUy291CLb9+qpMseXh+dSVPChiNT/glMv7Saf8ABO/4Tr+142sn4hf8Iwv9vHxI2dS2+dJ9m+1nr9p+zeR5uefM355zQB9B0UUUAVtZ1jSvD2kXfiDXdQhtLGxtpLi8u7iQLHDEilndmPAUKCSewFeXfsg/tsfAf9uTwJffEn9n+/1u50iyvxbrc634au9N+1o0ayRXVuLmNDPbSowaOZMo4zg8EVd/bW+Gvi/4z/sb/Fn4P/D4j+3vFXw013SNEy+0G7udPnhhGT0+d15r4/8A+Dejw1+0P4R+C3jfw98TdN+LNj4Lsbjw9aeCtO+MqzrqlrfRaHax63HAtx+8SwXUFdYFH7oKreX8mKAP0NooooAK+fPhH/wUu/Z5+Mn7WWqfsWaJ4a+IOkeONMsdRvvK8U/D7UNMs721srlLae4trm4jWO4i8yRAskZKuGBBORX0HXyh+zn4H8Z/Eb/gqh8fP2m/GnhPVLDSfCfhfw/8N/h/dalp8sCXsCo+rapc25kUCWJrm7t4fMTKlrMjOVNAH1fRRRQAV4F8av8Agph+yR+z9+1D4Z/ZB+JfjPU7bxj4ofT0tVtfD91cWNk9/PJb2CXd3GhitWuZopI4hIwLspAr32vyg/4KR/Bv44+Kv+CzXw/8b+HfgT461eaPUPh23gHWdA0KSbwzLa2mtX82vvrsqjyvNtrWWOW0M53Ru+6H5iaAP1fooooA/9k=", 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", "info": {"equation": "63+89=152", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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g7tdJXXNZ69Nloz9szjxAy/Osl4fy+nh3QlhYOEqkLc28YuUFeN7qPM05RvOTV7auv/wTDv8AUrz9lK1tEvbm58Pad4n1iw8C3Nzg+ZoMN9LHY+WwJ8yFYlCRPk7okjIJBBP0LXmf7HOjaT4c/Zo8J+HtA06GzsLCyktrK0t0CxwQxzyIkagdFVQAB6CvTK+/yyLhl1GLd/djr8kfkeeYyGYZziMTGPKpzk7ere/n38z8jf8Ag6o8R/Fi18HfCfwrp8t6ngi9v9Rn1URJ/o8upxpELYSMP4hE9wVU9cuRnHEH/BP74u6P8TP2CPDPhL9pf9r2/SO60y50u98Mal4/trSKXSUkeCG2kjysoia3VUILBmQ9cGv0x/as+Hf7LnxN+D114d/bCsPDE/gpLyCe5bxbfpa2kVwr4ifzndBG+5toIYE7ivIYgr8efCvg6D9lLxl4Y0fQ7FNGT4fahaWtnbRKIBaixkRY0C8BNmAAOMdK+bzPh/E4rH1sTDEuCcVor30VrPVaafnofpU/EDCT8N8u4eWD5alCtKfttNdW/de/P765tVZRhrr7vgv/AATj8OeFvAX7QPxb8CfBjRLLTvBEWn6FeXdho1nFHYW2vyJcpcrGYxgSNaRae8kY+7lGwN/P2DXzp/wTv+EHww+Bnh3xl8PfhD4JsvD+iw6/bzx6fYK2zzZLKEu5LEszHA5JPAA6ACvouvV4Zg4ZHQV76X+9t/gfB8V46nmGe1a1O7VoxvL4pcsIx5pWbtKVrtXla9uaW7+Ov+C83iT4seGP+CZPjy7+Est7FJcPZ2viCbT48yJpUs6pc5I5VGUhHI/gds8EmvzK/wCCJXjb4har4B+K/gbWPEt3N4Z0XwdeXGiafLODFZXM4H2l4x1TeIoCf4cpnruz+9nijwx4e8a+GtQ8HeLdHt9R0rVrKWz1Kwu4w8VzBKhSSN1PVWViCPQ18nftA/Ar4Q/s4+EtO+FHwO8A2Hhvw9ZeAvEkttpenIQivJLau7ksSzMWPUknoOgArwuLcrq1E8cqloxik49/eX4a39Uvl93w3x3gcH4d4jhWWFTq1qyqKrpokot+fMuTlVtOWctVa0vVP2QvHepeO9JGp2Xjp/EujnS4li1j+0FukmlTCZEqfIzHa27HccjOa9rqvpKJHpdusaBR5CcAY7CrFfVZXgp5fg1RnUc3du731d+7/M/KsVXjiKzmo8q7I5n4033jfS/g54s1P4Z2zzeJLfwzfy+H4Y4RIz3y27mBQrcMTIEGDwelfzr/APBJD4t/ELw5+3Rdan4k+NWqeFI/EGm6kfG+tyazFZTTthpgJZrgHDNdCMkfeJJ7Zr+k6vjr9h74G/CH4d/tM65468E/DzTtN1nxZpviG68SajDGxlv5hrFuQzliccuxwuBluleBxLgqmLx2EjCo4NuSuuml7rVa6WP0/gTjjA8NcI51llbCqrLFQioydtLNr3r9Fzc0bbTS73Xgvxw0b4Iavolx8dfht44s/GnxXtPE+h/8Il4q/tm21fVxqyXSJY2UTAkLG4MwaBQFZGmkYEqXX9P6+Ofjz8DvhDr37d2nfGvWfh9p1z4r0LWPCtro+uSoxmtIXvBuVBnaM+Y/OM/McGvsar4Yws8JVxUJTc2p2u+tlv11d9fQ+V4izWnjsuwVGLk3CMm3LpzcqVOOr9yChePw6ylaK3ZX84H7dvxQ/aJ0f/gtP4n8X+IPE+qaR4m0f4nJaeHb6UpA9jpayiOzaIv8iRm0dHDHgiQueWJr+j+vKtf+Ev7HuoftX6P8T/Emg+Dn+MdtoDx6LPc3kQ1c6f8AvUZ44C+50AaZPM2HALLuwMV359ldTNaFOEKnJyyTv/l5rofSeFvHGE4HxuOrV8H9YVbDzppWTs3Z+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+UzfJa2T16lKpOMuSbheLunZtXXk7aHRUUUV9CeKePf8FBPEHxW8KfsR/FLxJ8D3vE8V2Xgq+l0aTTo99xHIIjl4h13qm5lxyCARk4r8nf+DWbW/ien7TvxI0PTEun8I3PguK416QQBol1BLtBZ7nPKuY5L3A/iAYn7tft9fsVsZmU8iJiPyNfI/8AwTA+CXwl+Cd/rNp8J/ANhoMet+DtD1DVhYq2bq6ZroGRyxJJ9ugycAZNfMZpQlLiHBT5mvj09Ff8b2fkfqfDHGuDyfw4zjIqmGU54l03Gemlmvi6+7bmhbaTb06/XteHf8FK/EfxY8I/sE/FbxJ8D3vU8T2fg66fTpdNj3XES4AmkjHUOsJkYEcgrkcgV7jSSRpKjRSoGVgQysMgj0NfRV6brUZU07XTV+11ufneV4yOXZnQxcqamqc4ycXtLlknyvydrPyP54P+CF/xV1zwT8UvG3hvUfj3e+B/DF74fiuryS28QW2nrdX8c6pAC8wJYiOS5+Vfqegr9AtE0P4Q6D8d/hp8V/2f/E1rrnxA8Q/Fm2ttR8T6dqcOpajrdlKoGrRXcysTJbxWKCQrwsBhgKhCRu+yf2U/hJ+x78L/AAbq+m/se6B4OttDudfml1n/AIRG8iuYf7RCIsiSOjuFdVCDy8jaCMKM14f4Q+CHwi0r/gorcfHTTvh9p0XjDUPG15YXniBUbz5LZdBcCPk7VGEQZABO0ZNfnU8gxOXfVHLEOSdSKSV+VXbd1r+i3P2TinxCwXEfGePzWnh50IypNcllzVGoKPLW1S5XvL4tEo215l9i0UUV+lH4YfzV/s7/ABo/aK0L/grNN4w+I/xQ1rwp4q1jxze2Hj/VZL6OxmhtjM32qGRpPkjRViAC9F8tNvKrX68eAJvAnxq1q68LaB8epvHOpahbJa3EzeKLfUbmzti+DtEQxGmWJJYYz3rW+HnwP+Eek/8ABQW6+N+n/D/T4vF2seNNVstS17Yxnnt10uULGckqBiNPugE7RnNfYcdvBEd0UKKfVVAr84y3h2tjo1b4mSjGpJOO6fK1q9bXfofsfiX4hYDizMcJicNglR9nh4Qe26vdKy+CN7RW9u17J9FFFfo5+OH55ftj/E+fwx4//aWv/iT8QbvRrzRvDdkPCHnvFG1tph0oNaz2aPxKX1OS8Tdg7pUWPnAWtL4X/FPwl40tvDMHin9qyXxXr7WkEv8AYN/43s7sfb2t8SFIIsEuu6UADOATxX1/8Sf2Yf2f/jB8R/C3xe+J3wn0jWvEvgqczeFtYvYC02nyFlfchBwcMqsu4HawyMHmu4W1tUbeltGCOhCCvisRwpi8Riq9T604xqNuyTd0+j1W2y30PtcdxHlVXA4eFDD/ALyMY87aiknGEYLkau2pcrnJtJ80rWduaXN/BbwkfA/wt0bwyxl3QWxdhPjeGkdpCDgDGC5GPauooor7ChSVCjGmvspL7lY+MnJzm5dz8jf+DqjxH8WLXwd8J/Cuny3qeCL2/wBRn1URJ/o8upxpELYSMP4hE9wVU9cuRnHEn/BOL47p4p/Yh8Iaf8fP2xr+2uPsVxp8nh3UvHVnbxnTI5XhggeFvn8swKq4JDFe/INfp78df2ffgv8AtNeAJPhd8evh3p/ifQJbqK5bTdSRigmjJKSKVIZWGSMgjhiOhIrpNG8NeHvD2j2nh/QtEtbSxsLaO3srS3gVI4IkUKiKoGAqqAAB0Ar5bH8N4vGZlUxMMS6akkrK99Fa2606/Nn6pifEPLq/hpgeGVgl7WhVnN1NLNPmato3zPmtK+loR32j57+zB4XGlaBq/igNJ/xPNQjmXdjYVjgjiDJxyDt68+1en0AADAFFfRZfg1gMFTw6d+VWv3Py/EVniK8qlrXCvGv2qvAr+NrrTdOGluxvtOu9MW8gUmRFuNgdB1A+4rDI/hPYGvZaKzzTALM8FLDuXKnbX0af6FYXEPC11USva/5DLaEW9vHbqSQiBQT7DFPoor0DnOX+N1/450r4L+L9U+GFs83iW28L6hL4dhihEjSXy20hgUK3DEyBBg8HpX5vWfxv8LeG7n4A2PhT9pm+0CLV/DV+/iDU18QWttc3Vn9hRpJbqWbJjlOoxwqw4Jl85SPkYL+pNcD8LP2W/wBnn4JeMvFPxC+FHwj0bQta8bX32zxTqNjbYk1GffI+98kgfPLI2FwCXJxmvnc7yXEZrXozp1nT5L7Xvr1Wq16b7H1eRZ3lmXZbiKOJo885XcNI2bcZQtNvVKPNzwsn7ys0r80fn34CR+Dfiz41tG8LfF2TxpPb67Y3uqasuvwajPGLaVZoo5Hi+VE/dkAEAnc2Dk8fYFNjhhhz5USrnrtXFOrqybKpZVSnGVV1HJ3bfol3f5ngYzFrFzi1HlSVrBX84v7cfxd/aV8M/wDBarxT401PxlrGheKNJ+JIsPD+oeattJZ6QZBDa+WW+RIms5FO4/Kyyszfeav6Oq4PVv2YP2ftd+O+n/tO6x8JtHuPH2l6abCw8USW+bmG3IkUoDnGdssi7iNwViM44rPPcprZtRpwp1ORxknf+uq6H6F4Y8eYDgPGY2tisKq6r0J0ktNG7NJ3+xK1ppa2to7WPljwt4x+HvxB8UjR9G/aUl8dao9rNDp9hceMLbUZYUfAkaKKEBskBcnB4Ar7Q8F6CnhXwdpPheN3ZdN0yC1VpCCxEcapk44zx2rQS2t423R26KfVUAp9Tk+S1Mrq1KlSs6kp21flfzd9z4DGY2OKhGMYKKjfbz+SCuE+OP7MfwB/aWt9FtPjz8KdI8Ux+HdUXUdFTVYC4tbkDG9cEZBGMqcq2BkHAru6K9ucIVIuM0muz1OfC4rFYKuq+HqOE1tKLcWumjVmtNCP7Jahtwto8567BUlFFWYBRRRQBFerI9nKkMau5iYIjHhjjgH2ryD9lrwAnhzU9X1yOwmtEXT7TSobVlISNLdpmCjIzkebtPPYd69korz8RgFiMfRxLlb2fNp35lb8Dop4h08POlb4ra+juFeH/wDBSvxH8WPCP7BPxW8SfA+S9TxPZ+DrqTTptNj3XES4AmkjHUOsJkYEcgrkcgV7hSSRpKjRSoGVgQysMgj0Nddem61GVNO101ftdbm+V4yOXZnQxcqamqc4ycXtLlknyvydrPyP55P+CGXxg8T+DPiR4z8Gap+0LqPgjwjcaIl9cJB4jt9Pin1FZo44jmYHLeU02QvUKN33Vr9eP2VrDwp4/wDHWl+LfCPxAPiiHSdRub2912LVor43Fy1rJbkTTR5UsEmX5RggKvYHPtHwJ/Zg/Z9/Zk8PX/hT4B/CbR/C2napqb6hf2umW+1ZrllVS53En7qqABwAOAK7qOKOIbYo1UeijFfH4DhTE4adGVXEtqElLls+W6d9Lv8ATufoHiRx7geNOJ8TmeEwvso1VGKvbmdoqN5W0u7d9kuw6iiivtT8wPyquPjfq2gfCH4X6x4o+Ol/4c8e6r8WpIfGd3LqVtaXsF4Z7sazBN5uRbxwxu6jAGxRbgffXd9PfAH4vx+IvFUOgfD/APaQufHF19shmmtZfFVvqLwx52HIgwVjIJyWGO+RivevD37Lv7PfhT44a1+0n4d+EmjWnjrxFZLaa14mit/9Ju4QIxtY5wM+TFkgAtsXJOK7qO3giO6KFFPqqgV8Rh+E8bSk28XJLmvZX11vd6rV9dHr3Pts+4jynH1lPCYblvdyuopqU224xtf3IfDHZtXdo35U+iiivtz4kKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACvH/2zf26v2cv2CPh9p/xJ/aO8UX1jY6tqhsNMtdI0a41C7uZVhknlZILdGkKRQQyzSPjaiRsxIr2Cvgf/AILceHPiXoHiL4N/tH+D/gt4r8e6R4PXxro2uaH4L0STUr5Jtb8M3en2U32ePLGL7SUid+kaz7jwDQB90+FfFHh7xx4X03xr4R1iDUdJ1iwhvdL1C1fdFc28qCSOVD3VkZWB9DV+vIv+Cf8A8JvGfwG/YW+DnwT+IsezX/Cfww0LSdbi3hvKu7ewhiljyOCFdWXPfbXrtABXM/Gb4veBvgF8Ktf+M/xLv7i20Hw3psl9qc1pYy3MoiQZIjiiVnkcnAVVBJJAFdNXIfH74gaV8K/gn4p+Iet6JrWpWuk6JcTz2HhzRptRvpwEI2wW0CtJM5zwigk0ARfs7fHz4c/tSfA7wv8AtD/CK+urnwz4v0iLUtEnvbN7eV4JPul43+ZDx0PNdpXyL/wQp17Ur3/glr8KPBviD4feLfDGseD/AA/HoOuaT4y8L3Wk3SXcCqzlIrlEaSL94NsoG1iGAOQcfXVABSSSJFG0sjAKoJYnsKWkkcRxtIwJCgkgDJNAHiX7JX/BQr9mP9tfxH4t8HfAzxFrD6t4Kltv7b0vxB4bvNLuPs9yHNteRR3UaNNbTCOQxzKCrbTjtn26vgL/AIJD/FnUP2nv2oPj3+1h8V/hB8RvB3jnxVeWOl6ZoPjH4e6hpFppHhXTpbmHTbeK5uYkju7mZpLi7n8skIbhEHCZP37QAUUUUAeI3X/BQr9mjT/2x7L9hbUtZ1218d6nFMdLa68L3kel308Nqt5LaQ37Ri3luEt2WVolcsqnnB4r26vz2+M+neKfib/wXR+Dvin4XfB/4uR3vgG31qy+IeteJdKuP+EMj0KbSHMF3pssha3F7Jdywwl4NsxWORJBtUV+hNABRRRQB5Z+1h+2X8Av2KvCfh3xl+0B4ql0y08V+MbDwvoKW1m9xLd6leOVhiVEBOPlZmboqqSa9Tr8vv8Ag4P+CX7bHxJ8TeAviB8C/wBl5fib4U8Jy6M1nDaeJha3Wla5J4n0uV7j7KsEslwrW1oluZhtW2iubmVtyqy1+nenTXtxp8E+o2a29w8KtPbrLvETkAsobA3YORnAzigCaiiigDzT9rD9q74V/safCgfGL4vW2vXGmya1ZaTa2XhjQJ9Uv7u8u5hDBDDbW6tJK7uwUBQTzXU/CT4l6P8AGT4aaJ8U/D+ia3ptlrunpd21h4k0abTr+BGHCT206rJA47o4BFeFf8FYfCHwh8ZfsofZPjj4O+LuseH7HxXpmoyH4H2txL4hsbi3lMtvdQi2/fqqTLHl4fnUlTwoYjU/4JTL+0mn/BO/4Tr+142sn4hf8Iwv9vHxI2dS2+dJ9m+1nr9p+zeR5uefM355zQB9B0UUUAVtZ1jSvD2kXfiDXdQhtLGxtpLi8u7iQLHDEilndmPAUKCSewFeXfsg/tsfAf8Abk8CX3xJ/Z/v9budIsr8W63Ot+GrvTftaNGskV1bi5jQz20qMGjmTKOM4PBFXf21vhr4v+M/7G/xZ+D/AMPiP7e8VfDTXdI0TL7Qbu50+eGEZPT53Xmvj/8A4N6PDX7Q/hH4LeN/D3xN034s2PguxuPD1p4K074yrOuqWt9FodrHrccC3H7xLBdQV1gUfugqt5fyYoA/Q2iiigAr58+Ef/BS79nn4yftZap+xZonhr4g6R440yx1G+8rxT8PtQ0yzvbWyuUtp7i2ubiNY7iLzJECyRkq4YEE5FfQdfKH7Ofgfxn8Rv8Agqh8fP2m/GnhPVLDSfCfhfw/8N/h/dalp8sCXsCo+rapc25kUCWJrm7t4fMTKlrMjOVNAH1fRRRQAV4F8av+CmH7JH7P37UPhn9kH4l+M9TtvGPih9PS1W18P3VxY2T388lvYJd3caGK1a5mikjiEjAuykCvfa/KD/gpH8G/jj4q/wCCzXw/8b+HfgT461eaPUPh23gHWdA0KSbwzLa2mtX82vvrsqjyvNtrWWOW0M53Ru+6H5iaAP1fooooA//Z", 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", 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", "info": {"equation": "63+89=152", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "1a4fa1349a12718a2830fa2499e06249049af8c47a74ba01e23ffc5d30204361"} +{"episode": 30673, "episode_seed": 2652682890, "split": "train", "timestamp": "2025-10-28T03:46:27.061872", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2652682890, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 1, 1, 6])", "action": "('move', [6, 1, 1, 6])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "28-3=25", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", "info": {"equation": "28-3=25", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "3fff58d3a21b4d2fdee25f8bdd50cbad039c021d7d30bd0494d11cbab5f88b54"} +{"episode": 30674, "episode_seed": 2904400804, "split": "train", "timestamp": "2025-10-28T03:46:27.122687", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2904400804, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [7, 0, 8, 4])", "action": "('move', [7, 0, 8, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "192/12=16", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "192/12=16", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "acd798ddcd8a79d5389c02a0b63701e24a81582eb24f3e7580a4d4666ffb278b"} +{"episode": 30675, "episode_seed": 1512191168, "split": "train", "timestamp": "2025-10-28T03:46:27.178136", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1512191168, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 6, 0])", "action": "('move', [1, 4, 6, 0])", "reward": 0.0, "image": 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", 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wSz+Jfjf4dftq+Frvwt8T7vwpa6s8ll4n1i21KG1I01gJZQ00wKoC0UZz1yoA5OD+vOtWn7M/x78RaNpXxM+Oun/E+fT7iSbQvD3ifxjaapbpcNGQ0yWa4SWUR7wGdX2qz4xkmtD/AIJ3fs3fAf4OfFnwB4t+F/ws0rRdT8SeAbuXXb61jYyXjeTYyfMXZsDe7NtXAyenAx7F/wAFIPgr8KPjhofw98A/FrwHY67o0njGed7C7DKhkj0q+KNlCrZBJ71+UYbKcRV4fqYlV5KMb+5rZ2+f6H7d4h+IuW8Ycd0MbhqEsPFQjBzVnV+1d2Tino3FLnV47tXssT/gkre3SeAfiL4T8H39xd/DPQfiFPY/C6dyJLZLEW8LXUFpNk+daxXzXUUbZYAJtDELgfWdeMfsC+FfDfgX9m608F+DdDttM0nSvEuu2um6fZx7IreFNVugqKOwA/E9TkmvZ6/Sclg6eUUE3f3IvXzV/wANj8d4lx8Mzz2viYRspS67uyUeaVt5ztzTfWTbCv51f+DhPxb8cNd/4KQeI/D3xWm1FdE0iwtE8BW11Fst1014UZ5YAOGDXHnhn5JaPaT8gA/oqrzT4/8A7HP7L/7U99oup/tC/BPQ/Flx4ekd9Hm1W3LNb7ypZcqRuUlFJRsqcdK58/yqrm+B9hTnyu6euz8n+fqj7Twk49wHh3xU8zxmHdaDpyhpbmi3ZqUb2V9OV6r3ZP0f5lfsI/E34nfEL/gnTqvxG+NnxFv7jW28Swef4kvb9BcQ20B02O3laborRwRx/O/zDZl8nJr9Ff2aPH+t+PNXGraT4xPiHRJ7In+0471bmGQoQiukiEoWJUg7evzcZHHkPxrggg+JvxBt4YUSNfiL4fVY1UBQPs+hjAHpX2QiJGu2NAoHQAYr5Xh/KK0syqz9u7Uqlmv52ur16/Pc8HibOaWY4urio0IwVdymoraClLm5Y6LSN7LbbYWiiiv0U+NPjL/gvd4v+Ofgz/gm54r1D4GTajDJc39raeKbrS4t0sOjSF1uSSPmRCfLR2XojtnCliPyE/4It/GTx78Pv2mbnwbZ/HXUvBXhDWNInuPFEtrrsNhDK8Mb/ZizzZXcJZABt+YhiOmcf0G/tSwQ3X7MfxGtbiIPHJ4D1dXRhkMDZSgg187fsA/s6fAz9n345avoXwW+GGl+HbXUvBaXF/FYoxNxKLsKrMzszHA4AzgZOByc/CcQYCriuIcNGFVwc00mvs8qb01W5+4cI+I+W5H4W5lw/VwSqVK0rqelnzcqvO+vNTtzU2r622td4fgTx18PfGXi+H+x/wBog+O9bitJI7G3uvFttqM9vCzxtKIo4cEBmjh3HB+4nTv9cfBPwSnw4+Enh7wNHJMw0zSooc3BG/gc5wAM8+ldKltbxNujgRT6qoFPr2snyKeWYmpXqVnUlJJXa7ed3c/IMZj44qnGEYKKXb/hkFFFFfQnnHiXx0+Bv7A3jr9oLwd42/aD8N+Abj4k2rQr4LfxBqEMWozmOYvEsMLSKbjbKSVG18MTjk17SbO0JybWP/vgV/Mh/wAFX/iB+0LqX/BST4ka58YtV1i017QvF88Hhl5t0EllpcM7NpzW+3GxPJMcqsv3mcvncxNfqb+zd+0lP4g+BHgrxT8Yf28dTt/FV54es7nxBaT/ABC0+HZdMgZ1aIL8nPVe3TivhocYYPD4qtCdBq0rXild20vLbX7z9y498Lcx4b4YynHVMxVdVoaQbdqd0p2pau8NdWlHWzt72n6SqqoNqqAB0AFLXlX7Nvi/xH4yF7rMutNqek3UCXFrfifzYpGf5gYnGVZWU5+U4xtx159Vr6rLMfDM8HHERi4p30fk7H4risPLC1nTbvYK/OP/AIOZPF3xy8N/sTaLpnw1n1GDwvq3ihbbx7PYR/KbbZut4pnHKRPMBn+FmCKTyAf0cryD9vLw1oPjP9lPxR4R8U6XHfaZqkmn2moWc2dk8MmoWyuhwQcFSRwQeajOKLr5VWgpW916ry1/HZ+R9FwRntHhni7BZpWoqrGlUUnF9el1fTmV+aL6SSZ+Jv8AwQ1+N/jfwn4v8X/DrW/2kNU8FeBhpX9oi3i8TW+nwSaq0sMaspnByxhWTITqEXd0Wv0x8Ean4C+KN9qul+FvjWfHWsahpy2d1cnxJBqV3DbfvFRB5P3EDTSMMr95zyeld5/wTv8Agl8JPgZ4m8feAvhF8P8ATtA0dYNIuPsNjGdplf7ZudixLMxCqMknhQOgAr6hjggiOYoUUnqVUCviMt4ar5llVOcsVJQlry2bSs/8VvwPrPEfjnBcS8Z4nMsNhFTUrJbcztFLmlZfE+tm+13uUfCGhR+FvCel+GYpHddO06C1V3ILMI41QE44zx2rRoor9ISsrH5U3dhRRRTEfBX/AAcZ+LPjl4V/4J33KfB6XUYtN1LxPa2Pjy406LJTR5Ip9yyMOY4nuBbRsR94PsPysQfib/g1z1/4xW37VHjjw34dgu38D3XhBZ/FDrbBoI76OYCx3SEfI5V7sKoPzAPwduR+vv7bOladrv7I3xG0PWLNLi0vfCF7b3dvJ92WJ4irKfYgkfjXkv8AwT2+BHwd/Z8+Kfjzwb8E/h3p3hvTLnw/ot1cWmnK2JZjc6ou9mdmZjtUAZPAHGK+MzDDSfF2GnzvWLfpyp6ej6/M/bMh8RMvy3wgx/DU8GpVas7qelvecfel154W9xry2tr9V0UUV9mfiZ8TfHnxjr0X/BRvV/D/AMT/ABHc2Wl2fw3tJPhpYXkiw2d0JJZW1eaIkjzp0MNoHHJji5wFOT4p+zB+0Voer2vjxNR/bd1LSdDtPibq8Pg22Txrp9lGdN3RuWiQrl4vtT3YSQ53oFIJGCf0E/aG/ZY/Z6/av8MWfg39on4UaV4r07Tr37XY2+pI2bebYULo6MrLlWIIBweMg4GOv8O+EvC/hLw/Y+FPDHh6zsNM0yzitNOsLS3VIraCNQkcaKBhVVQAAOABXxmJ4YxlfM6uJhiXBS7Xv6PVaLofdV+JclnksKMcNetywhK6ioRUFbng9ZOdSyc7pWfNrLmXL4V+zN8S9V8dazpsvhT4myeLdLija2u9TXVUvUcIpyXki+QyAkZPBJIzX0NTY444l2xRqo9FGKdXvZRl1XLMO6dSq6jbbu/Ppu/zPj8ZiY4mopRgo6Wsgrw7/gpN4k+KnhD9h74heIvgzeata67baVDm80G3829tLFrqFb6eBcE+bHZm4kUgFlKAgEgV7jR1616Fek61CdNO3MmrrdXVrr0NMrxkcuzOhi5U1UVOcZOL2lyyT5Xvo7Wej0PzE+Pvxl8F+AfEfwM0r4PftAx+G4b7XVtkutE1+0jEvhn7HIJ5GmkLBIt0FuFkB+Z1Kgk8V6j4b+Ivwx8XeKdPtP8AhqY+M9RikkbSNM1DxtaXzRymJ1aSKKLDF/KaRc84Vm47j6c+Bv7GX7LH7NPiDXfFXwH+BugeGNQ8SuG1q60y1KtcYdnCjJIjTc7HYm1enHyjHpS2tqjBktowR0IQV8NR4Oxqw3spYtpO94pNx/8ASlfz0Pps34gyepWpxwNBuMF8c1GM5NtvVR5kuW/Kved0r6X5Vxn7PHglvAPwuttHkE4e61C+1CRLkAMjXV1LcFcYGADJgA84xnJrt6KK+3wtBYXDQop3UUl9ysfH1ajq1ZTfVthRRRW5mfPHxN+FjeL/AIyX2ivo8tr/AGvrthf3M9opzMLc222UlgR9y2jQ9uMcGvoeiivKy3K45dUrTU3L2knLXpfp5+p14nFPExhG1uVWCiiivVOQ+af+CrHiHxj4e/Zjsf7E1TUNP8O3/jnR7L4jajpigPa+HZZ9t2zv1ihY+VHLIPuxSPkhdzD5k+M/x00jw3+1/wDDjw74W/aSfwta33hjV5fF50jxDZ2sX2Hy4pLGSSaTO0tOw8sA/OjMQCoJH6Uaxo+k+IdIutA17TIL2xvrZ7e9s7qISRTxOpV43VgQyspIIPBBIrgv2ev2R/2bP2UdB1Dw1+zx8HtH8K2Wq3a3OpR6fExa5lVdil3kZmIUZwucDcxABY5+Vzfh/E5lmUMTTruCSt1ut/h1W99dV8z7bKOIcnwWSSw+Iw/PVj7RR0jyS9pFR5pt+8pU/ihZSTfL8HK3L54+F3xu0vU9Vl8PeCv2qrvxff3ISWOwbxhbX86CMn5o0hwwGWG7gg/Lmvr/AMNS6nP4esZtaj2Xb2kZuV9H2jP61bS2t4m3RwIp9VUCn125Rk9fLas51cRKrzJLW+lvVs+YxmMp4mMYxpqNu3/DIKKKK904DzL4o/safstfGr4r6F8cvit8D9B13xb4a8r+xNcv7YtNbeVIZYxwQHCSEsocMAScYzXpJs7QnJtY/wDvgVJRURpU4ScoxSb3039e51V8djcVSp0q1WUo01aKcm1Fb2im7RV9bKwiqqDaqgAdABS0UVZyhXyn/wAFP/FXiPw7cfCGy1XXbvSvh9ffEIDx3fwssdvvjt5JdNiupSR5Vu96kIJJCswRSeQG+rKxviH8PfBHxY8D6r8NfiT4Ys9a0HW7J7TVdLv4g8VzC4wysP1BGCCAQQQDXFmWEnjsDUoRlyuStf8Arp0fkevkWPw+WZrTxFeHPBcya0vaUXHmjfTmjfmjfTmSPzj17466bof7deq+C7D9qO78KaLD8NoZPE9tY+JbOxhj1ZL4raozyAsZjbvclo8/KojYgblz7t8H/jMPEF03h/4dftHXXjW8juFuDEPE8GozRZwgBEHIjPowxkmvon4F/s4/Az9mfwGvwy+A/wAMdL8M6Et5JdHT9OhO155Mb5GZiWdiFUZYk4VR0AA7OOCCI5ihRSepVQK+TocI46FGMHjJJLor2Xp7y/L5Hr5tn2V18UvqmH9yMVFOSSlK28pJXSbfRSdlZcztdkBmaBGuFAkKDzAvQHHOKfRRX3CVkfIhRRRTA5r4x6Cnij4W674dm0dNQjvdOkhls3DESowwwwvJO3O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bjFfWtNjjjiXbFGqj0UYp1fWZLlP9kYeVN1HNyk5NtW3t5vt3PxfG4v65UUuWyStYK8D/AOCovir43+CP2APij4q/ZzfUE8X2Xh3fp02kw77mCEzRi6liHUOlsZ3DD5lK7l5Ar3yjr1r069J1qEqaduZNXW6ut16GmU46GWZrQxkqaqKlOM3CXwyUZJ8svKVrPyZ/L5/wSz+Jfjf4dftq+Frzwt8T7vwpaas8ll4n1i21KG1I01gJZQ00wKoC0UZz1JUAcnB/XnWrT9mf49+ItG0r4mfHXT/ifPp9xJNoXh7xP4xtNUt0uGjIaZLNcJLKI94DOr7VZ8YyTX07+yz8DP2Bfhl4x8Zap+yJ4Z8A2+t3V4sXjU+Er+G5mt5fMlZYZlSR/s3ziX93hBlDx8gxyn/BSD4K/Cj44aH8PfAPxa8B2Ou6NJ4xnnewuwyoZI9KvijZQq2QSe9fm+J4axWCyepUeKbik3yq/K9fX79Nz9q4+8SMDxnx1RxtHDTwijCMHKy9ts23ZON9JcsVzq8d2k7LE/4JK3t0ngH4i+E/B9/cXfwz0H4hT2PwunciS2SxFvC11BaTZPnWsV811FG2WACbQxC4H1nXjH7AvhXw34F/ZutPBfg3Q7bTNJ0rxLrtrpun2ceyK3hTVboKijsAPxPU5Jr2evuslg6eUUE3f3IvXzV/w2PyHiXHwzPPa+JhGylLru7JR5pW3nO3NN9ZNsK/nV/4OE/Fvxw13/gpB4j8PfFabUV0TSLC0TwFbXUWy3XTXhRnlgA4YNceeGfklo9pPyAD+iqvNPj/APsc/sv/ALU99oup/tC/BPQ/Flx4ekd9Hm1W3LNb7ypZcqRuUlFJRsqcdK58/wAqq5vgfYU58runrs/J/n6o+08JOPcB4d8VPM8Zh3Wg6coaW5ot2alG9lfTleq92T9H+ZX7CPxN+J3xC/4J06r8RvjZ8Rb+41tvEsHn+JL2/QXENtAdNjt5Wm6K0cEcfzv8w2ZfJya/RX9mjx/rfjzVxq2k+MT4h0SeyJ/tOO9W5hkKEIrpIhKFiVIO3r83GRx5D8a4IIPib8QbeGFEjX4i+H1WNVAUD7PoYwB6V9kIiRrtjQKB0AGK+V4fyitLMqs/bu1KpZr+drq9evz3PB4mzmlmOLq4qNCMFXcpqK2gpS5uWOi0jey222Fooor9FPjT4y/4L3eL/jn4M/4JueK9Q+Bk2owyXN/a2nim60uLdLDo0hdbkkj5kQny0dl6I7ZwpYj8hP8Agi38ZPHvw+/aZufBtn8ddS8FeENY0ie48US2uuw2EMrwxv8AZizzZXcJZABt+YhiOmcf0G/tSwQ3X7MfxGtbiIPHJ4D1dXRhkMDZSgg187fsA/s6fAz9n345avoXwW+GGl+HbXUvBaXF/FYoxNxKLsKrMzszHA4AzgZOByc/CcQYCriuIcNGFVwc00mvs8qb01W5+4cI+I+W5H4W5lw/VwSqVK0rqelnzcqvO+vNTtzU2r622td4fgTx18PfGXi+H+x/2iD471uK0kjsbe68W22oz28LPG0oijhwQGaOHccH7idO/wBcfBPwSnw4+Enh7wNHJMw0zSooc3BG/gc5wAM8+ldKltbxNujgRT6qoFPr2snyKeWYmpXqVnUlJJXa7ed3c/IMZj44qnGEYKKXb/hkFFFFfQnnHiXx0+Bv7A3jr9oLwd42/aD8N+Abj4k2rQr4LfxBqEMWozmOYvEsMLSKbjbKSVG18MTjk17SbO0JybWP/vgV/Mh/wVf+IH7Qupf8FJPiRrnxi1XWLTXtC8XzweGXm3QSWWlwzs2nNb7cbE8kxyqy/eZy+dzE1+pv7N37SU/iD4EeCvFPxh/bx1O38VXnh6zufEFpP8QtPh2XTIGdWiC/Jz1Xt04r4aHGGDw+KrQnQatK14pXdtLy21+8/cuPfC3MeG+GMpx1TMVXVaGkG3andKdqWrvDXVpR1s7e9p+kqqqDaqgAdABS15V+zb4v8R+Mhe6zLrTanpN1Alxa34n82KRn+YGJxlWVlOflOMbcdefVa+qyzHwzPBxxEYuKd9H5Ox+K4rDywtZ0272Cvzj/AODmTxd8cvDf7E2i6Z8NZ9Rg8L6t4oW28ez2Efym22breKZxykTzAZ/hZgik8gH9HK8g/by8NaD4z/ZT8UeEfFOlx32mapJp9pqFnNnZPDJqFsrocEHBUkcEHmozii6+VVoKVvdeq8tfx2fkfRcEZ7R4Z4uwWaVqKqxpVFJxfXpdX05lfmi+kkmfib/wQ1+N/jfwn4v8X/DrW/2kNU8FeBhpX9oi3i8TW+nwSaq0sMaspnByxhWTITqEXd0Wv0x8Ean4C+KN9qul+FvjWfHWsahpy2d1cnxJBqV3DbfvFRB5P3EDTSMMr95zyeld5/wTv+CXwk+Bnibx94C+EXw/07QNHWDSLj7DYxnaZX+2bnYsSzMQqjJJ4UDoAK+oY4IIjmKFFJ6lVAr4jLeGq+ZZVTnLFSUJa8tm0rP/ABW/A+s8R+OcFxLxnicyw2EVNSsltzO0UuaVl8T62b7Xe5R8IaFH4W8J6X4Zikd107ToLVXcgswjjVATjjPHatGiiv0hKysflTd2FFFFMR8Ff8HGfiz45eFf+Cd9ynwel1GLTdS8T2tj48uNOiyU0eSKfcsjDmOJ7gW0bEfeD7D8rEH4m/4Nc9f+MVt+1R448N+HYLt/A914QWfxQ62waCO+jmAsd0hHyOVe7CqD8wD8Hbkfr7+2zpWna7+yN8RtD1izS4tL3whe293byfdlieIqyn2IJH415L/wT2+BHwd/Z8+Kfjzwb8E/h3p3hvTLnw/ot1cWmnK2JZjc6ou9mdmZjtUAZPAHGK+MzDDSfF2GnzvWLfpyp6ej6/M/bMh8RMvy3wgx/DU8GpVas7qelvecfel154W9xry2tr9V0UUV9mfiZ8TfHnxjr0X/AAUb1fw/8T/EdzZaXZ/De0k+GlheSLDZ3QkllbV5oiSPOnQw2gccmOLnAU5Pin7MH7RWh6va+PE1H9t3UtJ0O0+Jurw+DbZPGun2UZ03dG5aJCuXi+1PdhJDnegUgkYJ/QT9ob9lj9nr9q/wxZ+Df2ifhRpXivTtOvftdjb6kjZt5thQujoysuVYggHB4yDgY6/w74S8L+EvD9j4U8MeHrOw0zTLOK006wtLdUitoI1CRxooGFVVAAA4AFfGYnhjGV8zq4mGJcFLte/o9Vouh91X4lyWeSwoxw163LCErqKhFQVueD1k51LJzulZ82suZcvhX7M3xL1Xx1rOmy+FPibJ4t0uKNra71NdVS9RwinJeSL5DICRk8EkjNfQ1NjjjiXbFGqj0UYp1e9lGXVcsw7p1KrqNtu78+m7/M+PxmJjiailGCjpayCvA/8AgqL4q+N/gj9gD4o+Kv2c31BPF9l4d36dNpMO+5ghM0YupYh1DpbGdww+ZSu5eQK98o69a9CvSdahKmnbmTV1urrdehtlOOhlma0MZKmqipTjNwl8MlGSfLLylaz8mfzBf8Ervi38R/hp+2T4ci8IfF7UfCOm69K1p4u1G01eO0WTTwDK/mSTfIMMikE/NngcnB/ZPw38Rfhj4u8U6faf8NTHxnqMUkjaRpmoeNrS+aOUxOrSRRRYYv5TSLnnCs3HcfTvwO/Yz/ZZ/Zq8Q694r+BHwN0HwxqHiaQNrd1plqVa4w7OFG4kRpudjsTavTj5Rj0lbW1RgyW0YI6EIK+Go8G42OG9lLFtJ3vFJuP/AKUvnofqnih4m5Zx1xLHMcJgvZxjCMLy5eeTV227JrS/LHV6JPS9lxn7PHglvAPwuttHkE4e61C+1CRLkAMjXV1LcFcYGADJgA84xnJrt6KK+3wtBYXDQop3UUl9ysfj9Wo6tWU31bYUUUVuZnzx8TfhY3i/4yX2ivo8tr/a+u2F/cz2inMwtzbbZSWBH3LaND24xwa+h6KK8rLcrjl1StNTcvaSctel+nn6nXicU8TGEbW5VYKKKK9U5D5p/wCCrHiHxj4e/Zjsf7E1TUNP8O3/AI50ey+I2o6YoD2vh2Wfbds79YoWPlRyyD7sUj5IXcw+ZPjP8dNI8N/tf/Djw74W/aSfwta33hjV5fF50jxDZ2sX2Hy4pLGSSaTO0tOw8sA/OjMQCoJH6Uaxo+k+IdIutA17TIL2xvrZ7e9s7qISRTxOpV43VgQyspIIPBBIrgv2ev2R/wBmz9lHQdQ8Nfs8fB7R/Ctlqt2tzqUenxMWuZVXYpd5GZiFGcLnA3MQAWOflc34fxOZZlDE067gkrdbrf4dVvfXVfM+2yjiHJ8FkksPiMPz1Y+0UdI8kvaRUeabfvKVP4oWUk3y/Byty+ePhd8btL1PVZfD3gr9qq78X39yEljsG8YW1/OgjJ+aNIcMBlhu4IPy5r6/8NS6nP4esZtaj2Xb2kZuV9H2jP61bS2t4m3RwIp9VUCn125Rk9fLas51cRKrzJLW+lvVs+YxmMp4mMYxpqNu3/DIKKKK904DzL4o/safstfGr4r6F8cvit8D9B13xb4a8r+xNcv7YtNbeVIZYxwQHCSEsocMAScYzXpJs7QnJtY/++BUlFRGlThJyjFJvfTf17nVXx2NxVKnSrVZSjTVopybUVvaKbtFX1srCKqoNqqAB0AFLRRVnKFfKf8AwU/8VeI/Dtx8IbLVddu9K+H198QgPHd/Cyx2++O3kl02K6lJHlW73qQgkkKzBFJ5Ab6srG+Ifw98EfFjwPqvw1+JPhiz1rQdbsntNV0u/iDxXMLjDKw/UEYIIBBBANcWZYSeOwNShGXK5K1/66dH5Hr5Fj8Plma08RXhzwXMmtL2lFx5o305o35o305kj849e+Oum6H+3Xqvguw/aju/Cmiw/DaGTxPbWPiWzsYY9WS+K2qM8gLGY273JaPPyqI2IG5c+7fB/wCMw8QXTeH/AIdftHXXjW8juFuDEPE8GozRZwgBEHIjPowxkmvon4F/s4/Az9mfwGvwy+A/wx0vwzoS3kl0dP06E7XnkxvkZmJZ2IVRliThVHQADs44IIjmKFFJ6lVAr5OhwjjoUYweMkkuivZenvL8vkevm2fZXXxS+qYf3IxUU5JKUrbykldJt9FJ2VlzO12QGZoEa4UCQoPMC9Acc4p9FFfcJWR8iFFFFMDmvjHoKeKPhbrvh2bR01CO906SGWzcMRKjDDDC8k7c4A74rg/2YvBUll4h1/4iTidX1KxstPVZAAjLbyXUm5eMk5uWBOcfKBwQa9hory62WRrZrSxrm/cTVujvfW/z/I6oYpwwkqFviadwooor1DlCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooqDVbSXUNMubCG5aF54HjSZOsZZSAw9xnNAHzx+zv/AMFXf2Iv2pf2hNT/AGZfg38Tru+8S2C3zWMl1oV1bWGtrZTeTeHTruVBDeiCQ7ZPKZtvJ5AJr6Or8VP+CVv7N/7TNh+0T+yF+zx4x/Zv8ceFLz9kmy+JEfxQ8Xa34flttIv21W5mWxXTrxvkvxcCVZW8snaAd3Sv2roAKKKKACvDf22f+Cif7MH/AAT80rw5q37SXiLV7JPFWp/YdIj0fw9c37F98UZeQwoywxh5oV3uVBaRQMk4r3Kvz7/4OP8Axbq0v7BsXwU8H/CPx/4u8QeK/F2jXmm23gfwNfawsMOnatY3Vybh7WNxb/ugxTfjzCrBc4OAD9A1YMoYdCMilrmvg78TdF+M3wv0P4p+HNF1vTbHXdPS6tbHxJos2nX8CN0We2nVZIX45RwCK6WgAooooAoeKvE+h+CfC+peM/E9+LXTNIsJr3UbpkZhDBEhkkfCgk4VScAE8cCvD/2QP+CmX7KX7b3jjxJ8MPgrr3iC28TeFbOC+1Xw74u8JX2jXv2Gc4hvI4byKNpIH4xIBj5l9Rn2rxz4pg8DeCdY8bXWkX+oRaPpVxfSWGlWjT3VysUbSGKGJeZJGC7VQcsxAHWvzl/4IzfFHWP2q/2y/ix+2t+0Z8G/ib4P+LPjPQE03R/DXij4ZanpOleFfCVldgWunpfXUKRXt7LJKLiUqe5CKFRqAP0vooooAKKKKAPnf9s3/gqL+yZ+wTr1lof7RereKbNLizivL/VdG8E6hqNho9rLP5Ec99dW8LRWiNICq+YwJ2nAr6B03UrDWdOt9X0u7Se1uoEmtp4zlZI2AZWB7ggg1+ZX/BxfYXHxz+F0X7N/gf4FftB698SIrK3v/hlL8PdFu7jwnrF/NfQZttY2E2kqQ/ZUcpeqFVZSYydzV+knw9i8TweANDg8a29rFrKaPbLq8VkoEKXQiXzVjA4CB9wGO2KANiiiigAoJCgsxAAHJNFeJ/8ABRvwh+0t8Qv2I/iL8P8A9kKKF/iFr2gNp2h+dqiWJVZ5EiuGS4cFYJRbtMUkIO19pwcYoAX9jX/goL+y/wDt8xeN7v8AZh8a3Gu2vw/8WTeHdfvX06SGFryMZJgdwBNGRyJF4III617XX5lf8G+vws/aS+Cfxb/aZ8B/Fb9iX/hUHheTx7p8vh61XxGb63jaHTLa1FpayfZoRewrFEjm8T5WdmTbuUk/prQAUUUUAFfOfxK/4Kgfs6/DP9qqb9ji58IfErXfGVm+lDVT4S+G2parYaYuoki1kurq2iaK2RgHJeQgARuScKcfRlfkt/wVQ8AfELSv27X8f/sKeBP2mdL/AGide8X+EIIdb0G1u4/AGraLbBROb+WL/RJIY4JbpHW5PmLJnYNrZIB+tNFFFABRRRQByHx8+PXwl/Zg+Duv/Hz46+NLXw94T8MWBu9Z1a7yUhjyFAAUFnZmZUVVBZmYAAkiuf8A2Uv2uPhN+2R8PJ/iR8JLPxLZ2tpfmzvLDxd4UvNGvoJPLSRS1vdxpJsaORHVwCrBgQa+d/8Ag4J/Z2+MX7TH/BMvxP4J+B2g6xq2t6V4j0PXZNI8OjdqF5aWWoQzzrbL/HOsatIifxNGAASQKo/8ENrf9oOP4dfFi5+Ik/xYb4bz/E6ZvgoPjg903iUaN9mi803H2z/SREbnzfLEvzYDY+XFAH3LRRRQB//Z", "info": {"equation": "25+2=27", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "25+2=27", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "49291714b81d3486ba72fc4d36f4118859093069aab174ab8513990ec194fed0"} +{"episode": 30676, "episode_seed": 990442541, "split": "train", "timestamp": "2025-10-28T03:46:27.242702", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 990442541, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 7, 1, 0])", "action": "('move', [2, 7, 1, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "47-23=24", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "47-23=24", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "52d79219d2365a2ac288c6aa2b1a70146d929d96490e6a7f58ac42bf485a796c"} +{"episode": 30677, "episode_seed": 345742823, "split": "train", "timestamp": "2025-10-28T03:46:27.291416", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 345742823, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 1, 1, 8])", "action": "('move', [0, 1, 1, 8])", "reward": 0.0, "image": 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", 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", 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00P6EpeKmVR8Go8NPL06sZcvN7vJ8XN7Tv7Tptb7XN9k8N1Dw3+yt8fPG+mXvxF+K+kfFXWNOt5k0LT/FXiu01hbNWUmZ4bQHy9xUDc5RmAReRtFehf8ABIrU9Tin+LXgX4fahc3vwc8O+KLO2+FtyXEtnCzW7NqVrYz7mM1rFcbQhBZVLOAxO4Lrf8FHPgD8GPj78UPhp4Q+Mnw60/xBplto3iG7gs7zeqpOsmloHBjZTna7jrj5unSvQf8Agnh4S8MeAvgDd+CfBWg2ul6RpPjXW7XTdOsogkVvCt7IFRQOg/UkknJJNaZPgKuE4rnTnVc3GF239q6Ss9Xtfv0R+fYjPqD4MlhbzlKo1FQlb2dJRnz81P3m+d2cfhglGdRXlzHutFFFfoZ+eBXL/GGz8P3XgG9bxC+xIlDW8qoGdZei7QepJ4+hNdO7pGhkkcKqjLMxwAPWvm39qb4/2Ft4fuvENhpt7f6fpEQNpp1rFmfUrx2EcUMQAJ3ySOkSdsvnpXg8RZhQwWXShNKUqicYx7t6fcr/AJLqd+XYepXxKa0UdW+x4P8AtDfEPwtceItJ+DHiaW6j8OXl1ZXPxQ1SyWJhpehS3HkhZS80ZiW4mCxu4DFLcXD4+UGv0D0rTdL0bS7bSNEsLe0srS3SGztbSJY4oYlUKiIqgBVCgAAcAAAV8vaB+yJffDH4MTeIvH8dtq3ijxPI158SWYpNBPNLEsQt48RoGt4YlWBQVGUXcQSzE9v+w7qHirwx8P3+CPi/UDfReFz5HhbVZLlHludJBK28MoCIRNAgWJjhg6hH3lmcL4PDLeT4uWX4mKjOaUk++m3y1+aZ6GZpYyisRSd4q6a7ef8AXke5UUUV94eAFfzL/wDBZbxp+0L4t/4KIfEa0/aFl1NZtI8QXVl4TtL+Hy44NCWeQ2JgUfL5bwlZNw++zszfMTj+miviv9tv9mP4AftE/tgxzfHD4VaZ4lbR/h9pP9mHUfMxB5moanvACMoIOxMhsjj3OfkeNKLqZR7Tma5ZLTo76a+m5+w+CvHeA4C4nqYrF4b2sakHG6tzw1veN7KztaSutNb6Wfyd/wAEpP2h/Eepfsb6Na/Gf9svVPDk2mX0un+HdJPjWxsRDpMEcUcAETrvChhKoLckKOowT6f8Rfg9/wAE/viB4H8c/EX4pa74X8XfbbdZfF/jrWfEFvqWowMFIt8XRfMDLgLFEmxX2qm1hwft79iDTdNtv2R/h9bW2nQRxReGbdIoo4VVUUAgKoAwAAAABwAK+Rf2xP2Vf2c/ij8dPjV8WPiJ8HtG1nxFo0cS6Zqd9E7NAIvD1nLGNm7Y212ZhuU8n6V8vnOTYnCZTTr1MTKabjaLvZXXq9ttjmwvFmFzDjDFY6MZYSNSUp2oWv8AGpKG8Fa9m5a2kk1B7H1L/wAE4fEXxq8V/sPfDjxB+0NDfp4tudBzqB1SzFvdSQiWRbaSaMAbZHthC7AgHcxyAcge21kfD5mbwFobMxJOkWxJJ6/ulrXr9Qw9N0qEIN3skrvd2W79T81zPFxzDMq2KjTVNVJykoR+GPM2+WPlG9l5IK5r4yeEvhR45+FXiDwr8dNM0i88H3elTDxHDrzItmLQKWkeVnIEaqF378jYVDAggEdLX5d/8HQnjX9obw7+zz4F8N/D6bVIPAGtatex+P57GH9086fZmsIJ5ByqMftLBT8rNGueVUVy5pjI4DL6leUeZRW3e+n3a6+R9BwHw7W4s4vweVUq6oSqT0qN25eVOV1t73u2grq8rK63Puj9kD4RfsXfC/4dXll+xTongyPw1eao0l/ceDtQivYZrtUQEPMjybnVNnylvlBHAzz6wtpaqwZbaMEdCEFfzef8EYfjd8Tfh/8AtIyeAdO+POqeC/BGr2Fxd+K2ttegsYHkhgcWzl58qH810X5fmYHByoOP1q8DfH3wjB4hjstG/bQn8QXd+ptbfS7vx7Z3XnM5GAkcYDGTjA288mvk8NxpgaeGSdCUWukUuX5ar8j67xO8PcfwpxdUwlXG/WXJRnzybc3zaWne/vK3d3jyvS9l9u0Vx3wP1DxTqXgsT+J2lciYi0luM75IsDBOeo64Pcc812NfZ4LFRxuFhXSaUlez3PyitSdGq4N3sFcT+0pqnxQ0P9nbx5rXwQspLnxnaeDdTm8JW8VusrS6mtrI1soRvlcmUIAp4OcGu2oreceeDje1+pWFrLD4mFVxUlFp8r1Ts72fk9n5H8jd58Rvi1a/GN/itqviXVh44g8Rf2nNq16Wa9XU0n8zzX3jPmiUZIYdRgjtX7n/AA/+OOjeIPhToX/CzP2+NWg1u+8OWn/CRW8fxOsIWju3t0+0KPLA8siQuPlPy44PANfXdv8AsI/sfWn7QL/tT237PnhxPiBJdNdP4lFqfO+0NH5bTbc+WJCucuF3EktncSa9W+x2f/PrH/37FfCYXg/H0Oa2Lcbv7N9fN6rX7/U/c/FPxeyfj6GCjhcv9m6MXdy5b3dvchZfBG103Ztv4Y21/KL44/C/9n/4NeDvAPj/APYn8K+HrP4oW3iu0X4UXPhCOC6vdZmkuVS9jdtzG8gMDz+dI5YRjq8YJr9Ya/Nb9kX9lr9nf4Z+Lfgx8ZfAfwi0jTPFWsa5ZNqWuwo7TymfTruSYguxCb25OwLnp04r9Ka34IpOGCrS5m/ftbpolr6u+voj4LjfOaWYxw1CMp1HTUpOpUtzyc2nyfFP3IOLcbybcpzlZc1gooor7Y+CP5+P+DkHxp+0Lqv7fd34L+Jkupx+CNK0m0k+HNtNDstJIJbWE3c0RHEjm6EqMx+YCNF6Bc9//wAESvjz4rsvgN4h8FfEf9qvUvB/hzQ9Wij8IaYniuz05My+dNdlVlG9x5jxnJ4BcgHqB+iv/BSD4D/B79oP4ofDTwh8avh/ZeItMtdG8Q3dvZ3xcLHOsmloHBRlOdrsOuOenSu7/wCCengrwh4H+Al54M8H+GrLTdJ0rxrrdrp2n2kAWK3hS9kCoo9B+ZOSckk1+azyqviuKa9GnXlB25uZb2fL7u60V9PRH9C5z4q5VmHhDg+Hll8VUp8kXL3eVcl/3kdG/aVLe/dL4p6u58var8Ov2LPjTr+seNvif4y8MfEzVE0FoNU1fxf4ottUk07S15YKdwWzhBJYyoEIZmO8E17j/wAEetU8aX/7Isun6xJqE3hXSvGWqaf8LLzU7RYpbrwvE6LYuMAb4x+9WNyPmjRCMrtY8j+2x+y9+z3+0J+2Aknxr+E2leIzo/w+0k6b9vVwIPM1DU9+AjKGDeWmQ2R8v1r6B/Yet7ez/ZF+HtnZ28cMMPhm3jhhiQKkaKMKqqOAAAAAOABXVw7gqmF4jxEJVHJwWrf2r2eur2PzzNs9o1uEKWEvOcpyi7TtyUlDmSVL3m3zJ+87QSStyy0a9Vooor9APz0+Jv2zPGHie0/4KKeB/CvxK8Q3mneBk+H8l34DhnZYdP1HxQ91Nb3SNISPNuUsnhEURJOJ5SqkliPEbT9oTTrP9vPxl4N0L9rK68N+E4PBNnN4gh0/xRY2VtH4hWcQLEsjgs8gtY8SICdjJhgpwD+jHxx+AXwa/aV+H8/ws+O/w703xPoFxcRTyabqcRZRLG25JFYEMjDkblIOGYdGILvg18B/g5+z18PrP4V/BX4daZ4c8P2LyPbaZp0GEV3Ys7knLMxJJLMSenPAr43G8MYzFZtPFQxDgmul+ZeS1Wnz8rdT7+nxPkUMjjSlhnKuoeztaPs7Xv7W/wAXtHquXl+J8/Pb3D5E8IeOvhd4v8ZW0tr+0injfW4rSeHTIL/xja381vE5R5xDHFggN5MZY4PEQ6YOfqr9m34fv8O/hu9hKLhZdS1m+1SaO5ADRvcTtKVxgYA3cA8+td2ltbRtujt0U+oQCn125Tw/PLcbLFVK7qSatqvTrd32Vj5PF5isTQVKMFFJ30/4ZBRRRX0p5g2aGK4he3nQMkilXU9wRgiuI8HfAvQ/CHif/hI49UmuBESbOCSMDyiQQSSPvHnjgY967miuTEYDB4urTq1YJyg7xfZ/13NqeIrUoSjB2Utyrrmj2fiDSLnRL9SYbqFo5MdQCOo9x1rmPh18HtL+H+pT6umqSXk8imOJnjCiOMkHHBOTxyeB7Cuxooq4DB18TDEVIJzhs+39eewQr1qdJ04vR7oKKKK6zEK/PX4X/EfVH/aF+OeqftBeNXsvF+lePL2MWPiK6jtY9O8J2rsdKmgQsALMwSmVp/umWWQs27IH6FV5V+0L+w/+yZ+1frOleIv2ifgRoXiu/wBEheLTbzUoW8yKJmDGMsjKXTcMhWyAS2ANzZ8HiHKK2cYNUqc+Vp312frb8D6jhnNcry+Valj4S5KqS54RjKcXF82ik4pqW0lzRezu7csvgH9i/wDaKsdX+G+vx+JP24NZ0vSLDx3q1l4Gtp/Gen2Df2FFIq2pEJXIXPmhWbllUHkYJ918F2PgT4vaN4h8MeBPiaPGF54gV4Nd1e11yHUbt3mt/s6tI8WVUrDGqrlQNsXQ4Jr7Vs9G0jTrOHTtP0q2gt7eJYoIIYFVI0UYVVUDAAAAAHAAqeOGGLPlRKueu1cV4s+D8TWgoVcZKUVbRp2+V5aeWg8fxDhcTj6mIw+FjTUm7JNaLpdqKu++13d2RW0DS00TQbLRY3Zls7SOBWYjJCKFycfSrdFFfbpWVj5YKxPiR8NvAfxg8Car8Mfif4Ustc0DW7NrXVdK1CEPFcRN1BHYg4IYYKkAgggGtuiiUYyTTV0y6VWrQqxqU5OMotNNOzTWqaa2a6M8/wD2f/2Vf2dv2V/C134L/Z8+EekeFtNvr03d7b6dCczzbQu93cszYVQACcDtjJrvFtLVWDLbRgjoQgqSipp06dKChBJJdFojXFYvFY7ESxGJqSnUlq5SblJvzbu38woooqznCiiigApl01wttI1oitKEJiVzwWxwD7Zp9FJq6sC0Z8y/Cz4Nw3Hjzwtolpotxptn4O1SO8htYIyqQCO3mhjibeCdu2U4GcnaOetfTVFFeTkuUxyfDSoqbleTldq29l+h2Y3FvGVVNq1lYKKKK9c4z4Q8eeMvE13/AMFKviP4d+MfiO8tf7P8P6XD8I9J1B1htbnSJbWObUbi0GR9omN7E6yt8zIkEYO1QCfH/gF+0jo+q/HH4x6Zb/to3uj+CLLxTat4SjtPGNhZWz3M0DS6l5BIJniE7IRJkr8xwTyB+hn7RH7J37OX7WegWHhj9oz4RaR4sstKuzdabHqUbbraUqUYo6FXUMDyoOG2qSCVXHU+BPhz4D+GPgzTPh58PvCVhpGh6LZJaaXpljbqkVtCgwqKB/PqTknJNfE1+FcbVzOriYYlwUtU1fm16brRdNe2h+g1+KMink6hHDXrunTptNRVOHs+S9SD1k51ORc14q3PU96XNp8e/DXxV8PfF3iq6vfCnxrTx1r8trDHPPJ4lg1K7S2jkcxxgQ8rGJJnI+X70p55Ar6w+BfgGP4XfB7w58PopZnGk6VFBuuCC5wM/NgAZ59K6mO3giO6KBFPqqgU+vUybIZZViKledZ1JTSV2vz1dz4/GY9YqnGEYKKX9dkFFFFfRHnBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAfOn7aX/BVH9jb9gjxTpfgX4/8AjTV/7d1TSZ9WXRvDPhm81a5tNMhOJtQuUtY3NvbIcgyvheD6GvcPhr8SfAfxj+H2i/Fb4XeKrPXPDniLTIdQ0TWNPl3w3ltKgeORD6FSOvI6EA1+XX/BSXwx8Zf2Zf8AgqR8Rf2s7n9mfx/8RvB3xa/ZI1D4deGpvAHhabWJLLX/ALSZEtLqOEE28EowfOb5AWOehr7G/wCCNv7O3xT/AGUP+CYnwb+APxssWs/FWgeEUXWtPeUO1lLLLJP9nJUkFoxIEOCQCpAoA+mqKKKACiiigDlfjd8aPh7+zx8Kdb+NPxV1aay8P+H7T7RqNxbWMtzKFLKiqkUKtJI7MyqFVSSWFcd+xX+2z8CP2/fgt/wvz9nXUtVufDw1m70p21nR5rC4S6tmCzI0MwDrtY45HXPpXZ/Gr4saD8C/hbrPxa8T6Br+qWGh2ouLnT/C+gz6nqEy71XENrbq0szZYHaqk4BPQGvz6/4NqPHusaN+zb4w/Z68d/BL4l+EfENt8RvEPifPjX4eajpNrPYX1+Wt/KnuYkSSUqQWjUllHUUAfpbRRRQAUUUUAFfLF9/wWV/YR0f9pLTv2X/EfjbxHpGtax4ok8N6NruseCNStdD1DV438t7KDUZYVt5ZRJ8nysRu4zX1PX5B/tMftHX/AO3Z/wAFTvDPwx/af/Zu+Nnhv4JfAn4h2914KsdL+DGsXq+OfFEUzQx6lc3sVuYrXTIG+ZMN+9Vt7MFYhQD9fKKKKACiiigArxv9r39un4HfsTaNpmq/F+x8XahLrH2hrHTPBfgq/wBbuzFAgeed4rOJzHFGrKWkfaoyOa9kr48/4LD+OPhavwVtfg38ZPhn+0bqOjeIobq5t9e/Z50/UZbq3u4YjGlpcvpzeaqTCdiEkUwOY/nI2igD6A/ZW/ao+Bv7afwL0P8AaP8A2cvGqa/4S8QRyNp2oLbvC26ORo5I3jkAZHR1ZWUjgivQ6+M/+CAfwu/aK+DH/BK74b/DX9pz4d/8Ir4g0tL1LLRJ9PitbqDTTdSNaG6jiAVbhoyGckbiTlvmJr7MoAKKKKACiivL/wBtax/aP1X9kz4haT+yC1mvxNvPC11b+CZb+5WGKK/kTYkhdyFUruLAnjcozQByX7Pf/BTH9kP9qX9qb4ifsd/BD4gXGteM/hap/wCEvSLTZBZwMsqwukdwRslZJSUYKThlYdjXvtfjT/wRj/Z2/bH/AGX/APgrj4p8K+M/+CfM/wAPvCS/ArRNC1fXD44/tW1WS3Pmm+W/Wzij1K8urgs80SFWiMrMSwGK/ZagAooooAKKKKAPl341f8Fc/wBl/wCCH7RWvfstal4J+Kvibxd4XtrC48QW3gL4VarrkOnx3sZktmlls4XVA6q2M4+4w/hOPqGNxIiyAEBgCAwwa/HD/gsb8ONf0f8AaJ+I3xI/Yg+HP7Xej/tQeJL/AMN2/hTXPAVneReDtYitREqNczQ/6JJbpE9yrLdneshOAEY5/Xj4fDxgPAOhj4hmA+IBo9t/bhtceV9s8pfO2Y42+Zux7UAbFFFFAH//2Q==", "info": {"equation": "6*8=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": "6*8=48", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "eb77d597243ab4c81ff4ef5fafaad36f758496e302329fb84f7b077fd7ac8a2f"} +{"episode": 30678, "episode_seed": 2739297437, "split": "train", "timestamp": "2025-10-28T03:46:27.355174", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2739297437, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 1, 0])", "action": "('move', [5, 0, 1, 0])", "reward": 0.0, "image": 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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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", 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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": "e29e5ae566070de0d99048626581e041d13d1c8c919bcb796178393951cf7c9e"} +{"episode": 30679, "episode_seed": 2504640587, "split": "train", "timestamp": "2025-10-28T03:46:27.428810", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2504640587, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 0, 4])", "action": "('move', [8, 1, 0, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "81+45=126", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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8ltba31abT490kely3Ecd4eOVQws4dh0RmPAyR9a1w/7TVjaan+zf8QNN1C3Wa3uPBOqxTxOOHRrSUMp9iCRV4+m62Cq007Xi1ftoa8OZnTybiDCY+dNVI0akJuL2koyTt87H5kf8GqWsfEyXwH8XNBvorn/hDYNX02fTJGgAh/tN4pVuQr4yW8lLQsueBsPG7n9b6+dP+Cd/wg+GPwN8O+Mvh78IfBNl4f0WHX7eePTrBW2CSSzhLuSxLMScckngAdABX0XXm8NQcMjoK99L/e2/wPoPEviLDcWccYzNaFL2UKklaOl/djGN3bTmlbmla+rer3Pjr/gvN4k+LHhj/gmT48u/hLLexSXD2dr4gm0+PMiaVLOqXOSOVRlIRyP4HbPBJr8yv+CJXjb4har4B+K/gbWPEt3N4Z0XwdeXGiafLODFZXM4H2l4x1TeIoCf4cpnruz+9nijwx4e8a+GtQ8HeLdHt9R0rVrKWz1Kwu4w8VzBKhSSN1PVWViCPQ18nftA/Ar4Q/s4+EtO+FHwO8A2Hhvw9ZeAvEkttpenIQivJLau7ksSzMWPUknoOgArwuLcrq1E8cqloxik49/eX4a39Uvl9Hw3x3gcH4d4jhWWFTq1qyqKrpokot+fMuTlVtOWctVa0vVP2QvHepeO9JGp2Xjp/EujnS4li1j+0FukmlTCZEqfIzHa27HccjOa9rqvpKJHpdusaBR5CcAY7CrFfVZXgp5fg1RnUc3du731d+7/ADPyrFV44is5qPKuyOZ+NN9430v4OeLNT+Gds83iS38M38vh+GOESM98tu5gUK3DEyBBg8HpX86//BJD4t/EPw7+3Pdap4j+NWqeFI/EGnakfG+uSazFZTTthpgJZrgHDtdCMkfeJz2zX9J1cF8Lf2XP2evgn4y8U/EL4U/CTRtC1rxtfC88U6jY22JNRn3yPvfJIHzSyNhcAlycZrzc7yWvmtejOnWdPkvte+vVWtr032P0ngnj/L+FeFc3yqvhFVljIRjGWlotXT5r62XNzRttNLvdfn78cNG+CGr6JcfHX4beOLPxp8V7TxPof/CJeKv7ZttX1casl0iWNlEwJCxuDMGgUBWRppGBKl1/T+vjn48/A74Q69+3dp3xr1n4fadc+K9C1jwra6PrkqMZrSF7wblQZ2jPmPzjPzHBr7Grl4Yws8JVxUJTc2p2u+tlv11d9fQ+b4izWnjsuwVGLk3CMm3LpzcqVOOr9yChePw6ylaK3ZX84H7dvxQ/aJ0f/gtP4n8X+IPE+qaR4m0f4nJaeHb6UpA9jpayiOzaIv8AIkZtHRwx4IkLnlia/o/ryrX/AIS/se6h+1fo/wAT/Emg+Dn+MdtoDx6LPc3kQ1c6f+9RnjgL7nQBpk8zYcAsu7AxXfn2V1M1oU4QqcnLJO/+Xmuh9J4W8cYTgfG46tXwf1hVsPOmlZOzdn71/wDl27Wn5WetrHyD490z9kf47u6/Gn45aV8SLbSNMvngtvFPjS01CLTLZ4x9puo40KiNhGozORujAJVlySfrb9gnXviH4n/Y0+HGv/FS61G41y68LW73N1q8Iju7iPB8mWZeMSvD5btkA7mJIByK85/4KP8AwL+D/wAb5PBfh74t/DzTtfsbFdVvrS0vo22JcJFAFfCkbsBmGDkHPINe+/BX/kjnhLgf8izYdB/07x15eQ4Grgs6xMKlVzajC7fW+vd7Wsj57M83pYjhihhVzN87lZ25aajdWp6v43LmnpFXjH4t101eV/tR/Cj9j/4o2XheL9rnRPB93BY+I4n8J/8ACW3sUCnUmB2RwmR1813A/wBV8wfaMqcDHqlfht/wdGeKPi6P2rPAPhnU7q/i8G2vgz7Z4cUKVgbUWuZVu3Vh96RUS0B7qCuMbufazzHwy7LpVpQ51dKz21fX+t7Hq+FfCmI4z4zo5dRxTw0nGcvaRvzLli9I2au3s9V7vM+lj9xfslqG3C2jznrsFSV+b37Hf7S19rnwT+H3iX4nftr6hd+LtQ8P2jato2o+O7I+bdSx7fLeAAPuO4fLndux3r7/APhPd65e+AdPufELSNcsjfPNneybjtLZ5ztx9a5cq4iw2b4l0aVOSsr3du6VtG+58pm+S1snr1KVScZck3C8XdOzauvJ20Oiooor6E8U8e/4KCeIPit4U/Yj+KXiT4HveJ4rsvBV9Lo0mnR77iOQRHLxDrvVNzLjkEAjJxX5O/8ABrNrfxPT9p34kaHpiXT+EbnwXFca9IIA0S6gl2gs9znlXMcl7gfxAMT92v2+v2K2MzKeRExH5Gvkf/gmB8EvhL8E7/WbT4T+AbDQY9b8HaHqGrCxVs3V0zXQMjliST7dBk4Aya+YzShKXEOCnzNfHp6K/wCN7PyP1PhjjXB5P4cZxkVTDKc8S6bjPTSzXxdfdtzQttJt6dfr2vD/APgpX4j+LHhH9gr4reJPgc96niez8HXT6dLpse64iXAE0kY6h1hMjAjkFcjkCvcKo+Jiw8N6gV6ixlx/3wa+ir03VoSgna6av2utz87yvGRy7M6GLlBTVOcZOL2lyyT5X5O1n5H8+P8AwQy+MHibwZ8SPGfgzVP2htR8EeEbjREvrhIPElvp8U+orNHHEczA5byjNkL1Cjd91a/Xj9law8KeP/HWl+LfCPxAPiiHSdRub2912LVor43Fy1rJbkTTR5UsEmX5RggKvYHOZ/wTF+Bfwe+CQ1/RfhN8O9N0K11Pwt4fv9Qiso2P2i5f7aGkYuSScADGcDsBX1rHFHENsUaqPRRivguH8hrYnDYfFyxEuWL5lDpeLe2tvw6n6N4ocb4Pizi3FY/DYb2caijHW3M7QSvK2jb9dkuw6iiiv0I/Kj+af9n34ufH/Sv+Ctf/AAm3xQ+Iuq+GPFuoePr608b6vcXcVlPaQs7pdRs8o2QqsalAOihVC9Fr9Ivj7Y/sx/ELwD4q+KviP40W/jTxT4d8LSPoPiS58U2+panoM0b+baPY+Wf3ExvPJ2FV3yyCOMlgQle4fDz4H/CPSf8AgoLdfG/T/h/p8Xi7WPGmq2Wpa9sYzz266XKFjOSVAxGn3QCdozmmf8FEfgb8IPiV8XNL8X+Pfh7p2q6n4U8HPeeHbu7jYmwnN0T5iAEKTlEI3A4KgjFfktXKa6y6vW9vLljVceXWzfMlzb76326bn9AcTeJGW8ScVZfjaOGeGVKhCL9nbmbinJwWqXJf3Fd6R1cX8B9U/CW88Y6j8KvDOofEW2aHxBP4fspNdhaMIY7xoEMylRwpEhYYHAroKKK/WYrlikfgdaoqtWU0krtuy2V+i8kfnl+2P8T5/DHj/wDaWv8A4k/EG70a80bw3ZDwh57xRtbaYdKDWs9mj8Sl9TkvE3YO6VFj5wFrS+F/xT8JeNLbwzB4p/asl8V6+1pBL/YN/wCN7O7H29rfEhSCLBLrulAAzgE8V9f/ABJ/Zh/Z/wDjB8R/C3xe+J3wn0jWvEvgqczeFtYvYC02nyFlfchBwcMqsu4HawyMHmu4W1tUbeltGCOhCCvi8Rwpi8Riq9T604xqNuyTd0+j1W2y30PscdxHlVXA4eFDD/vIxjztqKScYRguRq7alyucm0nzStZ25pc38FvCR8D/AAt0bwyxl3QWxdhPjeGkdpCDgDGC5GPauooor7ChSVCjGmvspL7lY+MnJzm5dwrF+JGljXPh9rmiPpy3i3mk3EElq4OJleNlZOOeQSOK2qKdWHtaUoXtdNfeEJcklLseY/sx+E20TQ9Y8RSCZW1nUUk2yjAxFCkQK8ZwdvvzXp1FFc+X4NYDBU8OnflVr9zTEVniK8qlrXCvGv2qvAr+NrrTdOGluxvtOu9MW8gUmRFuNgdB1A+4rDI/hPYGvZaKzzTALM8FLDuXKnbX0af6FYXEPC11USva/wCQy2hFvbx26kkIgUE+wxT6KK9A5wooooA8W+I3w+PiP9oPTpRpkkQkvNNvZLqBT+9FnKsylicjAZdpxjhh3INe00UV5+BwCwVStNSv7STl6XS0OiviHXjBWtyqwV/OL+3H8Xf2lfDP/BarxT401PxlrGheKNJ+JIsPD+oeattJZ6QZBDa+WW+RIms5FO4/Kyyszfeav6Oq4PVv2YP2ftd+O+n/ALTusfCbR7jx9pemmwsPFElvm5htyJFKA5xnbLIu4jcFYjOOK489ymtm1GnCnU5HGSd/66rofo3hjx5gOA8Zja2KwqrqvQnSS00bs0nf7ErWmlra2jtY+WPC3jH4e/EHxSNH0b9pSXx1qj2s0On2Fx4wttRlhR8CRoooQGyQFycHgCvtDwXoKeFfB2k+F43dl03TILVWkILERxqmTjjPHatBLa3jbdHbop9VQCn1OT5LUyurUqVKzqSnbV+V/N33PgMZjY4qEYxgoqN9vP5IK4T44/sx/AH9pa30W0+PPwp0jxTH4d1RdR0VNVgLi1uQMb1wRkEYypyrYGQcCu7or25whUi4zSa7PU58LisVgq6r4eo4TW0otxa6aNWa00I/slqG3C2jznrsFSUUVZgFFFFAEV6sj2cqQxq7mJgiMeGOOAfavIP2WvACeHNT1fXI7Ca0RdPtNKhtWUhI0t2mYKMjOR5u089h3r2SivPxGAWIx9HEuVvZ82nfmVvwOiniHTw86Vvitr6O4V45/wAFBtc8e+G/2LviJrfw1vNRttVg8POTd6PD5l3bWpdBdTQj/nolsZnUjJBUEcgV7HSSRxyxtFKgZWBDKwyCD2Nddem61CVNO101ftdbmuXYqGAzCjiZQU1TnGTi9pKLTs99Haz0Z+a+tfG/wZ4d/ag0nwj4R/ajfwr4dk+Foub9dI8VWdrbykXcX9mN5sm4uWglvGVQcFNr9CCfqj9kz4j3XjjVIU8N/FaXxjpNtbyw3eqNrEd8N4O4B5Yvk8wFwMcHaR6CvRPgR+y9+z5+zH4ev/CnwC+Euj+FtO1PUn1C/tdLt9qzXDKqlzuJP3VUBR8qgcAV3ccUcQ2xRqo9FGK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8ltba31abT490kely3Ecd4eOVQws4dh0RmPAyR9a1w/7TVjaan+zf8QNN1C3Wa3uPBOqxTxOOHRrSUMp9iCRV4+m62Cq007Xi1ftoa8OZnTybiDCY+dNVI0akJuL2koyTt87H5kf8GqWsfEyXwH8XNBvorn/hDYNX02fTJGgAh/tN4pVuQr4yW8lLQsueBsPG7n9b6+dP+Cd/wg+GPwN8O+Mvh78IfBNl4f0WHX7eePTrBW2CSSzhLuSxLMScckngAdABX0XXm8NQcMjoK99L/e2/wPoPEviLDcWccYzNaFL2UKklaOl/djGN3bTmlbmla+rer3Pjr/gvN4k+LHhj/gmT48u/hLLexSXD2dr4gm0+PMiaVLOqXOSOVRlIRyP4HbPBJr8yv+CJXjb4har4B+K/gbWPEt3N4Z0XwdeXGiafLODFZXM4H2l4x1TeIoCf4cpnruz+9nijwx4e8a+GtQ8HeLdHt9R0rVrKWz1Kwu4w8VzBKhSSN1PVWViCPQ18nftA/Ar4Q/s4+EtO+FHwO8A2Hhvw9ZeAvEkttpenIQivJLau7ksSzMWPUknoOgArwuLcrq1E8cqloxik49/eX4a39Uvl9Hw3x3gcH4d4jhWWFTq1qyqKrpokot+fMuTlVtOWctVa0vVP2QvHepeO9JGp2Xjp/EujnS4li1j+0FukmlTCZEqfIzHa27HccjOa9rqvpKJHpdusaBR5CcAY7CrFfVZXgp5fg1RnUc3du731d+7/ADPyrFV44is5qPKuyOZ+NN9430v4OeLNT+Gds83iS38M38vh+GOESM98tu5gUK3DEyBBg8HpX86//BJD4t/EPw7+3Pdap4j+NWqeFI/EGnakfG+uSazFZTTthpgJZrgHDtdCMkfeJz2zX9J1cF8Lf2XP2evgn4y8U/EL4U/CTRtC1rxtfC88U6jY22JNRn3yPvfJIHzSyNhcAlycZrzc7yWvmtejOnWdPkvte+vVWtr032P0ngnj/L+FeFc3yqvhFVljIRjGWlotXT5r62XNzRttNLvdfn78cNG+CGr6JcfHX4beOLPxp8V7TxPof/CJeKv7ZttX1casl0iWNlEwJCxuDMGgUBWRppGBKl1/T+vjn48/A74Q69+3dp3xr1n4fadc+K9C1jwra6PrkqMZrSF7wblQZ2jPmPzjPzHBr7Grl4Yws8JVxUJTc2p2u+tlv11d9fQ+b4izWnjsuwVGLk3CMm3LpzcqVOOr9yChePw6ylaK3ZX84H7dvxQ/aJ0f/gtP4n8X+IPE+qaR4m0f4nJaeHb6UpA9jpayiOzaIv8AIkZtHRwx4IkLnlia/o/ryrX/AIS/se6h+1fo/wAT/Emg+Dn+MdtoDx6LPc3kQ1c6f+9RnjgL7nQBpk8zYcAsu7AxXfn2V1M1oU4QqcnLJO/+Xmuh9J4W8cYTgfG46tXwf1hVsPOmlZOzdn71/wDl27Wn5WetrHyD490z9kf47u6/Gn45aV8SLbSNMvngtvFPjS01CLTLZ4x9puo40KiNhGozORujAJVlySfrb9gnXviH4n/Y0+HGv/FS61G41y68LW73N1q8Iju7iPB8mWZeMSvD5btkA7mJIByK85/4KP8AwL+D/wAb5PBfh74t/DzTtfsbFdVvrS0vo22JcJFAFfCkbsBmGDkHPINe+/BX/kjnhLgf8izYdB/07x15eQ4Grgs6xMKlVzajC7fW+vd7Wsj57M83pYjhihhVzN87lZ25aajdWp6v43LmnpFXjH4t101eV/tR/Cj9j/4o2XheL9rnRPB93BY+I4n8J/8ACW3sUCnUmB2RwmR1813A/wBV8wfaMqcDHqlfht/wdGeKPi6P2rPAPhnU7q/i8G2vgz7Z4cUKVgbUWuZVu3Vh96RUS0B7qCuMbufazzHwy7LpVpQ51dKz21fX+t7Hq+FfCmI4z4zo5dRxTw0nGcvaRvzLli9I2au3s9V7vM+lj9xfslqG3C2jznrsFSV+b37Hf7S19rnwT+H3iX4nftr6hd+LtQ8P2jato2o+O7I+bdSx7fLeAAPuO4fLndux3r7/APhPd65e+AdPufELSNcsjfPNneybjtLZ5ztx9a5cq4iw2b4l0aVOSsr3du6VtG+58pm+S1snr1KVScZck3C8XdOzauvJ20Oiooor6E8U8e/4KCeIPit4U/Yj+KXiT4HveJ4rsvBV9Lo0mnR77iOQRHLxDrvVNzLjkEAjJxX5O/8ABrNrfxPT9p34kaHpiXT+EbnwXFca9IIA0S6gl2gs9znlXMcl7gfxAMT92v2+v2K2MzKeRExH5Gvkf/gmB8EvhL8E7/WbT4T+AbDQY9b8HaHqGrCxVs3V0zXQMjliST7dBk4Aya+YzShKXEOCnzNfHp6K/wCN7PyP1PhjjXB5P4cZxkVTDKc8S6bjPTSzXxdfdtzQttJt6dfr2vD/APgpX4j+LHhH9gr4reJPgc96niez8HXT6dLpse64iXAE0kY6h1hMjAjkFcjkCvcKo+Jiw8N6gV6ixlx/3wa+ir03VoSgna6av2utz87yvGRy7M6GLlBTVOcZOL2lyyT5X5O1n5H8+P8AwQy+MHibwZ8SPGfgzVP2htR8EeEbjREvrhIPElvp8U+orNHHEczA5byjNkL1Cjd91a/Xj9law8KeP/HWl+LfCPxAPiiHSdRub2912LVor43Fy1rJbkTTR5UsEmX5RggKvYHOZ/wTF+Bfwe+CQ1/RfhN8O9N0K11Pwt4fv9Qiso2P2i5f7aGkYuSScADGcDsBX1rHFHENsUaqPRRivguH8hrYnDYfFyxEuWL5lDpeLe2tvw6n6N4ocb4Pizi3FY/DYb2caijHW3M7QSvK2jb9dkuw6iiiv0I/Kj+af9n34ufH/Sv+Ctf/AAm3xQ+Iuq+GPFuoePr608b6vcXcVlPaQs7pdRs8o2QqsalAOihVC9Fr9Ivj7Y/sx/ELwD4q+KviP40W/jTxT4d8LSPoPiS58U2+panoM0b+baPY+Wf3ExvPJ2FV3yyCOMlgQle4fDz4H/CPSf8AgoLdfG/T/h/p8Xi7WPGmq2Wpa9sYzz266XKFjOSVAxGn3QCdozmmf8FEfgb8IPiV8XNL8X+Pfh7p2q6n4U8HPeeHbu7jYmwnN0T5iAEKTlEI3A4KgjFfktXKa6y6vW9vLljVceXWzfMlzb76326bn9AcTeJGW8ScVZfjaOGeGVKhCL9nbmbinJwWqXJf3Fd6R1cX8B9U/CW88Y6j8KvDOofEW2aHxBP4fspNdhaMIY7xoEMylRwpEhYYHAroKKK/WYrlikfgdaoqtWU0krtuy2V+i8kfnl+2P8T5/DHj/wDaWv8A4k/EG70a80bw3ZDwh57xRtbaYdKDWs9mj8Sl9TkvE3YO6VFj5wFrS+F/xT8JeNLbwzB4p/asl8V6+1pBL/YN/wCN7O7H29rfEhSCLBLrulAAzgE8V9f/ABJ/Zh/Z/wDjB8R/C3xe+J3wn0jWvEvgqczeFtYvYC02nyFlfchBwcMqsu4HawyMHmu4W1tUbeltGCOhCCvi8Rwpi8Riq9T604xqNuyTd0+j1W2y30PscdxHlVXA4eFDD/vIxjztqKScYRguRq7alyucm0nzStZ25pc38FvCR8D/AAt0bwyxl3QWxdhPjeGkdpCDgDGC5GPauooor7ChSVCjGmvspL7lY+MnJzm5dwrF+JGljXPh9rmiPpy3i3mk3EElq4OJleNlZOOeQSOK2qKdWHtaUoXtdNfeEJcklLseY/sx+E20TQ9Y8RSCZW1nUUk2yjAxFCkQK8ZwdvvzXp1FFc+X4NYDBU8OnflVr9zTEVniK8qlrXCvGv2qvAr+NrrTdOGluxvtOu9MW8gUmRFuNgdB1A+4rDI/hPYGvZaKzzTALM8FLDuXKnbX0af6FYXEPC11USva/wCQy2hFvbx26kkIgUE+wxT6KK9A5wooooA8W+I3w+PiP9oPTpRpkkQkvNNvZLqBT+9FnKsylicjAZdpxjhh3INe00UV5+BwCwVStNSv7STl6XS0OiviHXjBWtyqwV/OL+3H8Xf2lfDP/BarxT401PxlrGheKNJ+JIsPD+oeattJZ6QZBDa+WW+RIms5FO4/Kyyszfeav6Oq4PVv2YP2ftd+O+n/ALTusfCbR7jx9pemmwsPFElvm5htyJFKA5xnbLIu4jcFYjOOK489ymtm1GnCnU5HGSd/66rofo3hjx5gOA8Zja2KwqrqvQnSS00bs0nf7ErWmlra2jtY+WPC3jH4e/EHxSNH0b9pSXx1qj2s0On2Fx4wttRlhR8CRoooQGyQFycHgCvtDwXoKeFfB2k+F43dl03TILVWkILERxqmTjjPHatBLa3jbdHbop9VQCn1OT5LUyurUqVKzqSnbV+V/N33PgMZjY4qEYxgoqN9vP5IK4T44/sx/AH9pa30W0+PPwp0jxTH4d1RdR0VNVgLi1uQMb1wRkEYypyrYGQcCu7or25whUi4zSa7PU58LisVgq6r4eo4TW0otxa6aNWa00I/slqG3C2jznrsFSUUVZgFFFFAEV6sj2cqQxq7mJgiMeGOOAfavIP2WvACeHNT1fXI7Ca0RdPtNKhtWUhI0t2mYKMjOR5u089h3r2SivPxGAWIx9HEuVvZ82nfmVvwOiniHTw86Vvitr6O4V45/wAFBtc8e+G/2LviJrfw1vNRttVg8POTd6PD5l3bWpdBdTQj/nolsZnUjJBUEcgV7HSSRxyxtFKgZWBDKwyCD2Nddem61CVNO101ftdbmuXYqGAzCjiZQU1TnGTi9pKLTs99Haz0Z+a+tfG/wZ4d/ag0nwj4R/ajfwr4dk+Foub9dI8VWdrbykXcX9mN5sm4uWglvGVQcFNr9CCfqj9kz4j3XjjVIU8N/FaXxjpNtbyw3eqNrEd8N4O4B5Yvk8wFwMcHaR6CvRPgR+y9+z5+zH4ev/CnwC+Euj+FtO1PUn1C/tdLt9qzXDKqlzuJP3VUBR8qgcAV3ccUcQ2xRqo9FGK+Sy3hfGYOdKU8U7Qd+VX5fTfr107nuZ3nOV4qq4YKj7iioqUklOXVyko3V7uySk7JJXdh1FFFfZHyx+VVx8b9W0D4Q/C/WPFHx0v/AA5491X4tSQ+M7uXUra0vYLwz3Y1mCbzci3jhjd1GANii3A++u73nwBN4E+NWtXXhbQPj1N451LULZLW4mbxRb6jc2dsXwdoiGI0yxJLDGe9fT/h79l39nvwp8cNa/aT8O/CTRrTx14isltNa8TRW/8ApN3CBGNrHOBnyYskAFti5JxXdR28ER3RQop9VUCvhafB+Ks41MU+VyvZJ2et7vXd+j17n2+ecS5Xja6qYLD8t+ZttRTUpttxjy39yHwx2bV3aN+VPooor7o+ICiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArx/8AbN/bq/Zy/YI+H2n/ABJ/aO8UX1jY6tqhsNMtdI0a41C7uZVhknlZILdGkKRQQyzSPjaiRsxIr2Cvgf8A4LceHPiXoHiL4N/tH+D/AILeK/HukeD18a6Nrmh+C9Ek1K+SbW/DN3p9lN9njyxi+0lInfpGs+48A0AfdPhXxR4e8ceF9N8a+EdYg1HSdYsIb3S9QtX3RXNvKgkjlQ91ZGVgfQ1fryL/AIJ//Cbxn8Bv2Fvg58E/iLHs1/wn8MNC0nW4t4byru3sIYpY8jghXVlz32167QAVzPxm+L3gb4BfCrX/AIz/ABLv7i20Hw3psl9qc1pYy3MoiQZIjiiVnkcnAVVBJJAFdNXIfH74gaV8K/gn4p+Iet6JrWpWuk6JcTz2HhzRptRvpwEI2wW0CtJM5zwigk0ARfs7fHz4c/tSfA7wv+0P8Ir66ufDPi/SItS0Se9s3t5Xgk+6Xjf5kPHQ812lfIv/AAQp17Ur3/glr8KPBviD4feLfDGseD/D8eg65pPjLwvdaTdJdwKrOUiuURpIv3g2ygbWIYA5Bx9dUAFJJIkUbSyMAqgliewpaSRxHG0jAkKCSAMk0AeJfslf8FCv2Y/21/Efi3wd8DPEWsPq3gqW2/tvS/EHhu80u4+z3Ic215FHdRo01tMI5DHMoKttOO2fbq+Av+CQ/wAWdQ/ae/ag+Pf7WHxX+EHxG8HeOfFV5Y6Xpmg+Mfh7qGkWmkeFdOluYdNt4rm5iSO7uZmkuLufyyQhuEQcJk/ftABRRRQB4jdf8FCv2aNP/bHsv2FtS1nXbXx3qcUx0trrwveR6XfTw2q3ktpDftGLeW4S3ZZWiVyyqecHivbq/Pb4z6d4p+Jv/BdH4O+Kfhd8H/i5He+AbfWrL4h614l0q4/4QyPQptIcwXemyyFrcXsl3LDCXg2zFY5EkG1RX6E0AFFFFAHln7WH7ZfwC/Yq8J+HfGX7QHiqXTLTxX4xsPC+gpbWb3Et3qV45WGJUQE4+VmZuiqpJr1Ovy+/4OD/AIJftsfEnxN4C+IHwL/ZeX4m+FPCcujNZw2niYWt1pWuSeJ9Lle4+yrBLJcK1taJbmYbVtorm5lbcqstfp3p017cafBPqNmtvcPCrT26y7xE5ALKGwN2DkZwM4oAmooooA80/aw/au+Ff7GnwoHxi+L1tr1xpsmtWWk2tl4Y0CfVL+7vLuYQwQw21urSSu7sFAUE811Pwk+Jej/GT4aaJ8U/D+ia3ptlrunpd21h4k0abTr+BGHCT206rJA47o4BFeFf8FYfCHwh8ZfsofZPjj4O+LuseH7HxXpmoyH4H2txL4hsbi3lMtvdQi2/fqqTLHl4fnUlTwoYjU/4JTL+0mn/AATv+E6/teNrJ+IX/CML/bx8SNnUtvnSfZvtZ6/afs3kebnnzN+ec0AfQdFFFAFbWdY0rw9pF34g13UIbSxsbaS4vLu4kCxwxIpZ3ZjwFCgknsBXl37IP7bHwH/bk8CX3xJ/Z/v9budIsr8W63Ot+GrvTftaNGskV1bi5jQz20qMGjmTKOM4PBFXf21vhr4v+M/7G/xZ+D/w+I/t7xV8NNd0jRMvtBu7nT54YRk9Pndea+P/APg3o8NftD+Efgt438PfE3TfizY+C7G48PWngrTvjKs66pa30Wh2setxwLcfvEsF1BXWBR+6Cq3l/JigD9DaKKKACvnz4R/8FLv2efjJ+1lqn7FmieGviDpHjjTLHUb7yvFPw+1DTLO9tbK5S2nuLa5uI1juIvMkQLJGSrhgQTkV9B18ofs5+B/GfxG/4KofHz9pvxp4T1Sw0nwn4X8P/Df4f3WpafLAl7AqPq2qXNuZFAlia5u7eHzEypazIzlTQB9X0UUUAFeBfGr/AIKYfskfs/ftQ+Gf2QfiX4z1O28Y+KH09LVbXw/dXFjZPfzyW9gl3dxoYrVrmaKSOISMC7KQK99r8oP+Ckfwb+OPir/gs18P/G/h34E+OtXmj1D4dt4B1nQNCkm8My2tprV/Nr767Ko8rzba1ljltDOd0bvuh+YmgD9X6KKKAP/Z", "info": {"equation": "81+45=126", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "15a23dcd46525e1c03f00f5dafa182adcf610ef06b6a22e204d1b00c9140336c"} +{"episode": 30680, "episode_seed": 3282927363, "split": "train", "timestamp": "2025-10-28T03:46:27.498561", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3282927363, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 0, 2, 8])", "action": "('move', [6, 0, 2, 8])", "reward": 0.0, "image": 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", 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", "info": {"equation": "10*12=120", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "10*12=120", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "2554d21d9c260a189aa8ae3d5fbf9b01128b77f34ec47e9e16bd6369cbfabdfe"} +{"episode": 30681, "episode_seed": 336745419, "split": "train", "timestamp": "2025-10-28T03:46:27.555306", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 336745419, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 1, 8])", "action": "('move', [5, 0, 1, 8])", "reward": 0.0, "image": 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", 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dXVtE0VsjAOS8hAAjck4U4+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==", "info": {"equation": "1*15=15", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "1*15=15", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "cbac8ec878b6365aa31eb2dbcaf171b48612e5882e2d32655685805cb5e16e85"} +{"episode": 30682, "episode_seed": 3171205399, "split": "train", "timestamp": "2025-10-28T03:46:27.605602", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3171205399, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 1])", "action": "('move', [2, 8, 3, 1])", "reward": 0.0, "image": 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", 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", "info": {"equation": "27/9=3", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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bop9QgFPr6HKeH55bjZYqpXdSTVtV6dbu+ysfh+LzFYmgqUYKKTvp/wAMgooor6U8wKKKKAPh3/g4R8aftC+CP+Cd+o3fwCl1OGG98QW9l46u9Jh3SQaFJBcCYsw+aONphbRuy/wyFT8rNX5E/wDBEHxL8dfDv/BST4exfAu2vZm1HUBaeLorW0Eqf2EzIbxptwwiKqqwfIIdUxliFP8AQv8AtbRxy/sqfE2KVAyt8PtaDKwyCPsM3FfLP7Gf7L/7Pn7O37UfhW7+CHwl0nw3Nq/hnWF1KewVzJcKgsiqlpGY7QWJ2ggZ5xkCvg8+wspcS4SXO1zNfLlfT1P37gXxQyzh3wxzLIa2BVSpU5rS05Zc6t+8vq+TeNr30Xu25j7nooor7w/AQoorhfjN8T7fwjpknh/S5m/tS6hGxlAIhQkgsc98A4HvmuTHY3D5fhZV6zsl+L6JebNqFCpiKqpwWrPKv2ufjvpnh6xub1o5ruz0mVLe0sLQr52pahLIsMVvFuYK7vI6Rpkjlic45ruP2QfgFe/A/wCGr33jYWtx448VXA1bxxqVvAq77x1GLVCGYmC2TEEQ3EbU3dXYnyb9mn4b3Hxz+O03xb8RWD/8In8N9RlsfC0EwXZqOvCNorq92NHkpbJK1tGwfHmm4OMojV9YV8/w7g61ec80xK/eVdl2j0/rt6noZjWhTisLS+GO/mwooor6s8kK/Lv/AIOhPGn7Qvh79nnwL4a+H8upwfD/AFrVryPx/PYw/unnT7M1hDPIOVRj9pYKflZolzyqiv1ErmvjJ4S+FHjn4VeIPCvx00zSLzwfd6VMPEcOvMi2YtApaR5WcgRqoXfvyNhUMCCAR5+aYSWPy+pQjPlclv8Aj9z2fkfXcB8RUeE+L8Hm1Wgq8aU7uD63Tjdf3o35of3kj+df/gjB8XPHnw9/aim8M6b8ab7wV4T1rSZpPF15a6xb2KyiCKU2oaWcEAiaQAKvJ3njAJH6f+KV/Zk+PGp6N4f+LH7RNn8SEs9SS40Xw34m8dWl/ate/djkFohVZ5ACQodXHzsAOTX1l+yB8Iv2Lvhf8Oryy/Yp0TwZH4avNUaS/uPB2oRXsM12qICHmR5Nzqmz5S3ygjgZ54n/AIKU/Cb4bfGD4eeBPh58TfBtnrOiah8RovtmnXKsEl2aVqUiZKFWGHVTwR0r4bEcNYvB5PObxTcYxb5VflfXv+h9/wAc+IWC4u8QFmNDDSwq92HMkvbaXTnJJx9+z5bc691RTkeQ/wDBNrTNK8B/twfFH4bfs6adBb/CweGLa/8AFFppFtF/ZmneL2uBG0MMifcla0XdLApxGUQFUwoP3hXzL/wTg+Ffw5+CyfEX4d/CjwbY6Doln4isXt9N0+MrGrvptuzsSSSzEnJZiT05wBX01X1XDFN08jo3bd1fXpd7eiPznjDM6Wa55OrTTslGPNK3PPlilzztf3pbvV20XNJrmZRRXE/tKap8UND/AGdvHmtfBCykufGdp4N1ObwlbxW6ytLqa2sjWyhG+VyZQgCng5wa92cuSDla9j5/C0HisTCimk5NK7dkru12+iXV9jzWz/Z6/wCCbcX7Y83xGsfCvw3Hxu+0NeTRpqcB1dZjbAtObPzMiQwneZPL3ENvzklj759js/8An1j/AO/Yr+SWP4s/Gzw/8bm+Mv8Awm2u2vj+219tQk12Sd11BNREhZpGZvm8zfkEH3BGOK/c34Z/H3TdQ+Gnh2++IX7fOqW/iCfQLOTXoP8AhZOnJ5V60CGddqqQuJC4wOBjAr4PB8Z4KHPzYdxu2/dS183tr3P3fxY8J8y4OhgalXMvrPPDkXO3eHJbSCbl+7973drdtT9EERI12xoFA6ADFLXhX7PHxG8R+P8AxFa63oPi86/o13CTNfwXi3Fu6qCodXQlM7lI+U8kN3HHutfVZRmlPN8K68IOKu1r5df663R+F4vCywlXkbT0voFFFFeocp/Px/wcg+Nf2hdV/b6u/BXxMm1OPwRpWk2cnw5tpodlpJBJawm7nixxI5uvNRmPzARov3QufRv+CLH7Rfj2b4E674O+LX7XWs+F/D3h6/t7TwVp0njG1sVSNhLJcpGswLsis0WP4V3EL3A/WD9sv4R/sSfFbwNpcX7cek+C5dCsdVzo93401OKyjiu3jfKRTPJGdzIrEoG+YR5IOwEd/wDC/wAH/C/wf8OND8MfCPRNItfC1lpcMfh+DR1Q2q2mwGIxFchkKkEMCd2c5Oc18RW4YxdbNateGKcObXS/Nr0eq0XTXoj+gM48WctzDwnwfDayy06fLH2jS9nenvODs37Sf/Lzb4pau58Ear8Ov2LPjTr+seNvif4y8MfEzVE0FoNU1fxf4ottUk07S15YKdwWzhBJYyoEIZmO8E17j/wR61Txpf8A7Isun6xJqE3hXSvGWqaf8LLzU7RYpbrwvE6LYuMAb4x+9WNyPmjRCMrtY8j+2x+y9+z3+0J+2Aknxr+E2leIzo/w+0k6b9vVwIPM1DU9+AjKGDeWmQ2R8v1r6B/Yet7ez/ZF+HtnZ28cMMPhm3jhhiQKkaKMKqqOAAAAAOABXNw7gqmF4jxEJVHJwWrf2r2eur2Pgc2z2jW4QpYS85ynKLtO3JSUOZJUvebfMn7ztBJK3LLRr1Wiiiv0A/PT4m/bM8YeJ7T/AIKKeB/CvxK8Q3mneBk+H8l34DhnZYdP1HxQ91Nb3SNISPNuUsnhEURJOJ5SqkliPEbT9oTTrP8Abz8ZeDdC/ayuvDfhODwTZzeIIdP8UWNlbR+IVnECxLI4LPILWPEiAnYyYYKcA/ox8cfgF8Gv2lfh/P8ACz47/DvTfE+gXFxFPJpupxFlEsbbkkVgQyMORuUg4Zh0Ygu+DXwH+Dn7PXw+s/hX8Ffh1pnhzw/YvI9tpmnQYRXdizuScszEkksxJ6c8CvjcbwxjMVm08VDEOCa6X5l5LVafPyt1Pv6fE+RQyONKWGcq6h7O1o+zte/tb/F7R6rl5fifPz29w+Wvhv8AHTw/eanL4c8L/taz+K7y/QFNPm8a2t7MBHli0aQ4cccsRngc8CvrX4aXXiK98FWNz4qR1vWQ+Z5q4cjcdpYdiRjIraS2to23R26KfUIBT69HKckxGXYmVariZVLq1nfvvq38vVnyOLx1PE0lCNNRs76f8Mgooor6E84KKKKAMH4paJH4m+G2veGp9Jjv4tR0i4tbixlztnikjZHQ4IPKsw455rx34DfDiXUfizp/ju4huoR4e029tI1KbUZrjyAytkZ3KIRwCMZ56ivoCivHxmURxmZUcW5tez6W3+fTz3+R2UcY6OGnRUfi6hRRRXsHGFcZ8QvgzpPj3WYdbfVZbSVVWO48uMN5qAnpno3OM8j2NdnRXLjMFhcfR9liI80d7enoa0a1WhPnpuzK+k6ZaaLplvpFhHthtoVjjX2AxViiiuiMYwioxVkjNtt3YUUUVQgr8u/+DoTxr+0N4d/Z58C+G/h9NqkHgDWtWvY/H89jD+6edPszWEE8g5VGP2lgp+VmjXPKqK/USsT4kfDbwH8YPAmq/DH4n+FLLXNA1uza11XStQhDxXETdQR2IOCGGCpAIIIBrgzTBzzDAVMPGXK5Lf8AH7ns/I+t4F4kw/CPF2EzivQVaFGV3B21umrq+nNG/NB9JJH86f8AwRh+N3xN+H/7SMngHTvjzqngvwRq9hcXfitrbXoLGB5IYHFs5efKh/NdF+X5mBwcqDj9VtK+JPwm8V+JNLttQ/ayHi+8gvfM0bStU8d2d2BdtG8QeOKPazS7JJEHXiRuM4x9Y/s//sq/s7fsr+FrvwX+z58I9I8LabfXpu72306E5nm2hd7u5ZmwqgAE4HbGTXeLaWqsGW2jBHQhBXyVLg/HLC+yljGl1ik3H/0pfkfWeJPiLlvGvFc81wuCVKPLGKvbnly/anZNc2tt3aKir6Hl/wCy78P38K2XiHxfMLhZPEupQXBjmAChYraKBSgwDghM5Oc5yOK9Uoor7DL8HHAYKGHTvyq1+5+WYis8RWlUatcKKKK7DE8lt/2Ef2PrT9oF/wBqe2/Z88OJ8QJLprp/EotT532ho/LabbnyxIVzlwu4kls7iTXq32Oz/wCfWP8A79ipKKzp0qVK/JFK7u7K133fmdeLzDH49weKqyqckVGPNJy5YraKu3aK6JaIRESNdsaBQOgAxS0UVocgUUUUAfz8f8HIPjX9oXVf2+rvwV8TJtTj8EaVpNnJ8ObaaHZaSQSWsJu54scSObrzUZj8wEaL90Ln0b/gix+0X49m+BOu+Dvi1+11rPhfw94ev7e08FadJ4xtbFUjYSyXKRrMC7IrNFj+FdxC9wP1+/aI/ZP/AGcv2svD9h4X/aM+EWk+LLLS7w3WnR6lG262lKlGKOhVlBB5UHDYUkEqMdT4F+HPgT4ZeDdM+Hnw/wDCVhpGiaNZJaaXpljbqkVtCgwqKP69Sck5Jr4mvwrjauZ1cTDEuClrdX5tem60XTXtofveb+L+T5l4WYTheOXJVaXInL3eRcn24aN+0qfbbS+KerufHvw18VfD3xd4qur3wp8a08da/LawxzzyeJYNSu0to5HMcYEPKxiSZyPl+9KeeQK+sPgX4Bj+F3we8OfD6KWZxpOlRQbrggucDPzYAGefSupjt4IjuigRT6qoFPr1MmyGWVYipXnWdSU0ldr89Xc/FcZj1iqcYRgopf12QUUUV9EecFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQB86ftpf8ABVH9jb9gjxTpfgX4/wDjTV/7d1TSZ9WXRvDPhm81a5tNMhOJtQuUtY3NvbIcgyvheD6GvcPhr8SfAfxj+H2i/Fb4XeKrPXPDniLTIdQ0TWNPl3w3ltKgeORD6FSOvI6EA1+XX/BSXwx8Zf2Zf+CpHxF/azuf2Z/H/wARvB3xa/ZI1D4deGpvAHhabWJLLX/tJkS0uo4QTbwSjB85vkBY56Gvsb/gjb+zt8U/2UP+CYnwb+APxssWs/FWgeEUXWtPeUO1lLLLJP8AZyVJBaMSBDgkAqQKAPpqiiigAooooA5X43fGj4e/s8fCnW/jT8VdWmsvD/h+0+0ajcW1jLcyhSyoqpFCrSSOzMqhVUklhXHfsV/ts/Aj9v34Lf8AC/P2ddS1W58PDWbvSnbWdHmsLhLq2YLMjQzAOu1jjkdc+ldn8avixoPwL+Fus/FrxPoGv6pYaHai4udP8L6DPqeoTLvVcQ2turSzNlgdqqTgE9Aa/Pr/AINqPHusaN+zb4w/Z68d/BL4l+EfENt8RvEPifPjX4eajpNrPYX1+Wt/KnuYkSSUqQWjUllHUUAfpbRRRQAUUUUAFfLF9/wWV/YR0f8AaS079l/xH428R6RrWseKJPDeja7rHgjUrXQ9Q1eN/Leyg1GWFbeWUSfJ8rEbuM19T1+Qf7TH7R1/+3Z/wVO8M/DH9p/9m742eG/gl8CfiHb3Xgqx0v4Maxer458URTNDHqVzexW5itdMgb5kw371W3swViFAP18ooooAKKKKACvG/wBr39un4HfsTaNpmq/F+x8XahLrH2hrHTPBfgq/1u7MUCB553is4nMcUaspaR9qjI5r2Svjz/gsP44+Fq/BW1+Dfxk+Gf7Ruo6N4ihurm3179nnT9Rlure7hiMaWly+nN5qpMJ2ISRTA5j+cjaKAPoD9lb9qj4G/tp/AvQ/2j/2cvGqa/4S8QRyNp2oLbvC26ORo5I3jkAZHR1ZWUjgivQ6+M/+CAfwu/aK+DH/AASu+G/w1/ac+Hf/AAiviDS0vUstEn0+K1uoNNN1I1obqOIBVuGjIZyRuJOW+YmvsygAooooAKKK8v8A21rH9o/Vf2TPiFpP7ILWa/E288LXVv4Jlv7lYYor+RNiSF3IVSu4sCeNyjNAHJfs9/8ABTH9kP8Aal/am+In7HfwQ+IFxrXjP4Wqf+EvSLTZBZwMsqwukdwRslZJSUYKThlYdjXvtfjT/wAEY/2dv2x/2X/+CuPinwr4z/4J8z/D7wkvwK0TQtX1w+OP7VtVktz5pvlv1s4o9SvLq4LPNEhVojKzEsBiv2WoAKKKKACiiigD5d+NX/BXP9l/4IftFa9+y1qXgn4q+JvF3he2sLjxBbeAvhVquuQ6fHexmS2aWWzhdUDqrYzj7jD+E4+oY3EiLIAQGAIDDBr8cP8Agsb8ONf0f9on4jfEj9iD4c/td6P+1B4kv/Ddv4U1zwFZ3kXg7WIrURKjXM0P+iSW6RPcqy3Z3rITgBGOf14+Hw8YDwDoY+IZgPiAaPbf24bXHlfbPKXztmONvmbse1AGxRRRQB//2Q==", 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", "info": {"equation": "27/9=3", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "0b9f84ee3b0160e03acc677553532f0f5ee82744d1b443f04767c38ec57362a1"} +{"episode": 30683, "episode_seed": 506844228, "split": "train", "timestamp": "2025-10-28T03:46:27.675225", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 506844228, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 0, 7, 1])", "action": "('move', [0, 0, 7, 1])", "reward": 0.0, "image": 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", 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", "info": {"equation": "19*10=190", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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R/Fi18H/Cfwtp8t6ngi8v9Rn1URR/6PLqcaRC2EjD+IRPcFVPUFyM44p/8E8vih4b8ef8E/8Awt4F/aI/ayu7S1n0u50q68J3nju0sYH0lJXhhtniBWRYmgUIQWBZDyea/Tb9qz4d/sufE34PXXh39sKw8MT+CkvIJ7lvFt+lraRXCviJ/Od0Eb7m2ghgTuK8hiCvx58K+DoP2UvGXhjR9DsU0ZPh9qFpa2dtEogFqLGRFjQLwE2YAA4x0r5vM+H8TiswrYmGJcE4rRXvorWeq00/PQ/Qp+IOEn4b5dw8sHy1KFaU/baa6t+69+f31zaqyjDXX3fBf+Ccfhzwt4C/aB+LfgT4MaJZad4Ii0/Qry7sNGs4o7C21+RLlLlYzGMCRrSLT3kjH3co2Bv5+wa+dP8Agnf8IPhh8DPDvjL4e/CHwTZeH9Fh1+3nj0+wVtnmyWUJdyWJZmOBySeAB0AFfRderwzBwyOgr30v97b/AAPg+K8dTzDPatandq0Y3l8UuWEY80rN2lK12ryte3NLdlfOX7bnimy+HtvdeLdDs/tWrjTUS1sEVP8ASr2SQQ2kXzMoLPK6JgkcY5r6F1XU7PRdNn1bUJdkFtE0kreigZP1NfMDeE7/APaX/aCnN3DKuneGLBtcYs6qrahL5lvp0Ryh3CONLmRsEEMITznjh4qf1qhTwNNc1Sbul2UU2389vmzjyleyqSrydoxVvm/6ueyfsm2Hg7Tv2bPBcfgS5M+ny6DDcfaZI1SW4uJR5lxLKqMwWZ5mlaQAnDswya9DrxH9jkat4YHif4eXYX+zk1iTVdEUOoNutyd91AUCKRi682UElsi4xkbcV7dXtZTi6WNy6nVp6JpadmtGvkzixdGVDEyhLuFFFFeicx/O3+3b46/alf8A4Lpahq1smqyeMtI+KGn2vgS1NoGYWSTR/YEijPytG8TK3o3mOzcs1f0SV8dfHz4J/CXxF+3hp3xt13wDYXfizQ9Y8K2mj67MrGa0he8G5U52jPmPzjPzHBr7Fr5jh6g6OKxl5N/vOvpf79fwP1PxH41wfFuW5PQoYZUXhcOqcmre89Fpb7C5bxT1TlL1ZX5v/Eb4m+OdOu/iRdr4svx8TV/aAhstD0uWOJroldUtl0m2ht2+9byabHFLnHzRtPITwzD9IK+OPjJ8EvhLrP7fdt8c9W8A2Fx4u0nxH4cstM1+VWM9tA3lhkTnaMiRxnGcMRmlxTQlWoULSa/eR283a/quh81wlmGX4GtW+t0udcqktE7uDuoSv9ie07a6J2drP4L/AODp3xD8V5P2g/hx4S1OS9XwOnhCW70hDHi2l1RrmRLo7h9+RYRaDB+6rjGN5z+qX/BObWPibr/7CXwn1f4xQ3KeI5/A9gdRF5AIpT+6AjZ1GMMYwhPAOTyAc1w//BSL4J/Cb45yeCvDvxf8B2HiGxsF1W+tLTUFYpHcJFAFkwpGcBmGDkHPINe9/BX/AJI54S4H/Is2HQf9O8dGXUHDiTGS5m9Iaeq/S2nqfS8S8a4POPDfKMip4ZQnhpVHKemt39nr717zvvKKevTpq8r/AGo/hR+x/wDFGy8Lxftc6J4Pu4LHxHE/hP8A4S29igU6kwOyOEyOvmu4H+q+YPtGVOBj1Svw2/4OjPFHxdH7VngHwzqd1fxeDbXwZ9s8OKFKwNqLXMq3bqw+9IqJaA91BXGN3Po55j4Zdl0q0oc6ulZ7avr/AFvY4fCvhTEcZ8Z0cuo4p4aTjOXtI35lyxekbNXb2eq93mfSx+4v2S1DbhbR5z12CpK/N79jv9pa+1z4J/D7xL8Tv219Qu/F2oeH7RtW0bUfHdkfNupY9vlvAAH3HcPlzu3Y719//Ce71y98A6fc+IWka5ZG+ebO9k3HaWzznbj61y5VxFhs3xLo0qclZXu7d0raN9z5TN8lrZPXqUqk4y5JuF4u6dm1deTtodFRRRX0J4p49/wUE8QfFbwp+xH8UvEnwPe8TxXZeCr6XRpNOj33EcgiOXiHXeqbmXHIIBGTivyd/wCDWbW/ien7TvxI0PTEun8I3PguK416QQBol1BLtBZ7nPKuY5L3A/iAYn7tft9fsVsZmU8iJiPyNfI//BMD4JfCX4J3+s2nwn8A2Ggx634O0PUNWFirZurpmugZHLEkn26DJwBk18xmlCUuIcFPma+PT0V/xvZ+R+p8Mca4PJ/DjOMiqYZTniXTcZ6aWa+Lr7tuaFtpNvTr9e14d/wUr8R/Fjwj+wT8VvEnwPe9TxPZ+Drp9Ol02PdcRLgCaSMdQ6wmRgRyCuRyBXuNJJGkqNFKgZWBDKwyCPQ19FXputRlTTtdNX7XW5+d5XjI5dmdDFypqapzjJxe0uWSfK/J2s/I/ng/4IX/ABV1zwT8UvG3hvUfj3e+B/DF74fiuryS28QW2nrdX8c6pAC8wJYiOS5+Vfqegr7+0vwx8FtL+Pfwu+LvwI1yx8QfEPWPi7bRXXiqy1CDVNS1a1mj8vV0uJwSWhj08FiBhYRHDtC7vm+zf2U/hJ+x78L/AAbq+m/se6B4OttDudfml1n/AIRG8iuYf7RCIsiSOjuFdVCDy8jaCMKM14f4Q+CHwi0r/gorcfHTTvh9p0XjDUPG15YXniBUbz5LZdBcCPk7VGEQZABO0ZNfnU8gxGX/AFRyxDknUiklflV23da/otz9k4p8Q8FxHxnj81p4edCMqTXJZc1RqCjy1tUuV7y+LRKNteZfYtFFFfpR+GH5v/AH4m+O7l/gsyeLb+5+I+rfF6dPGmmzRxNdmffejW4biE8wxW8Uj4wB5arbY++m74b/AODiDxd8dH/4Kfiw1GbVEstF0XSX+HEawHaEaNJHkgAH7xjeiZS2CS0YXoqiv0++HPwR+E2if8FB7r45aX4BsIPF+r+NNVstS8QKrG4nt10uULGckhRiOP7oGdozmk/4KKfBP4TfE/4u6X4x+IPgKw1fU/Cng17vw5eXiszWE5uifMQAhScoh+YHBUEV+Y1MHOPD+Ij7R+7X++zUfxvf1SP33hHxByPhjjeGZxwXPCdConG0U4zqPntHpyRt7NPRuEpPlV+Q+qPhVeeL9Q+F/hvUPiDbtDr8+gWcmuRPGEKXjQIZlKjhSJCwwOBW/RRX6bFcsUj8GqzVWrKaSV23ZbK/ReSCvPv2kdIGp+CLS4OmC4Njqsdwr7STAdkibxj2crzxhjXoNFcuPwn17BVMPzcvMmr9isPV9hWjUtezucv8FvCR8D/C3RvDLGXdBbF2E+N4aR2kIOAMYLkY9q6iiitqFJUKMaa+ykvuVjOcnObl3PyN/wCDqjxH8WLXwd8J/Cuny3qeCL2/1GfVREn+jy6nGkQthIw/iET3BVT1y5GccSf8E4vjunin9iHwhp/x8/bGv7a4+xXGnyeHdS8dWdvGdMjleGCB4W+fyzAqrgkMV78g1+nvx1/Z9+C/7TXgCT4XfHr4d6f4n0CW6iuW03UkYoJoySkilSGVhkjII4YjoSK6TRvDXh7w9o9p4f0LRLW0sbC2jt7K0t4FSOCJFCoiqBgKqgAAdAK+Wx/DeLxmZVMTDEumpJKyvfRWtutOvzZ+qYnxDy6v4aYHhlYJe1oVZzdTSzT5mraN8z5rSvpaEd9o+e/sweFxpWgav4oDSf8AE81COZd2NhWOCOIMnHIO3rz7V6fQAAMAUV9Fl+DWAwVPDp35Va/c/L8RWeIryqWtcqa9o1p4h0W60O+z5V1A0bleoyOo9x1rO+H3ge08AeHxodtdtcM0rSzTsm3exwOnOBgAfhW5RWksLh5YlYhx99JpPyZKq1FTdNPR62OY8H/C7SvB3iXUfElnePI18SI4mQAQqW3MoPf5v0A+tdPRRRhsLh8HS9nRjyxu3bzbuwq1alaXNN3YUUUV0GZ4t8Rvh8fEf7QenSjTJIhJeabeyXUCn96LOVZlLE5GAy7TjHDDuQa9poorz8DgFgqlaalf2knL0ulodFfEOvGCtblVgr8xP2jvjFr3hPwT8Y/EPiL4rXuhePrX42G002Sa5ggurMLqNumkxwpL8qwvpyQyhyMFGmkJ4Yj9O64PVv2X/wBn3Xfjxp/7T2sfCbR7jx9pemmw0/xRJb5uYbciRSgOcZ2yyLuI3BXIzjiuPPcprZtRpwp1ORxknf8Arquh9BwxnGWZRVqSxtL2iaTSSi7yi7qEubanPadrtaO0rWfyx4W8Y/D34g+KRo+jftKS+OtUe1mh0+wuPGFtqMsKPgSNFFCA2SAuTg8AV9oeC9BTwr4O0nwvG7sum6ZBaq0hBYiONUyccZ47VoJbW8bbo7dFPqqAU+pyfJamV1alSpWdSU7avyv5u+542MxscVCMYwUVG+3n8kFcJ8cf2Y/gD+0tb6LafHn4U6R4pj8O6ouo6KmqwFxa3IGN64IyCMZU5VsDIOBXd0V7c4QqRcZpNdnqc+FxWKwVdV8PUcJraUW4tdNGrNaaEf2S1DbhbR5z12CpKKKswCiiigCK9WR7OVIY1dzEwRGPDHHAPtXkH7LXgBPDmp6vrkdhNaIun2mlQ2rKQkaW7TMFGRnI83aeew717JRXn4jALEY+jiXK3s+bTvzK34HRTxDp4edK3xW19HcK8P8A+ClfiP4seEf2Cfit4k+B8l6niez8HXUmnTabHuuIlwBNJGOodYTIwI5BXI5Ar3CkkjSVGilQMrAhlYZBHoa669N1qMqadrpq/a63N8rxkcuzOhi5U1NU5xk4vaXLJPlfk7Wfkfzyf8EMvjB4n8GfEjxn4M1T9oXUfBHhG40RL64SDxHb6fFPqKzRxxHMwOW8ppsheoUbvurX68fsrWHhTx/460vxb4R+IB8UQ6TqNze3uuxatFfG4uWtZLciaaPKlgky/KMEBV7A59o+BP7MH7Pv7Mnh6/8ACnwD+E2j+FtO1TU31C/tdMt9qzXLKqlzuJP3VUADgAcAV3UcUcQ2xRqo9FGK+PwHCmJw06MquJbUJKXLZ8t076Xf6dz9A8SOPcDxpxPiczwmF9lGqoxV7cztFRvK2l3bvsl2HUUUV9qfmB+VVx8b9W0D4Q/C/WPFHx0v/Dnj3Vfi1JD4zu5dStrS9gvDPdjWYJvNyLeOGN3UYA2KLcD767vefAE3gT41a1deFtA+PU3jnUtQtktbiZvFFvqNzZ2xfB2iIYjTLEksMZ719P8Ah79l39nvwp8cNa/aT8O/CTRrTx14isltNa8TRW/+k3cIEY2sc4GfJiyQAW2LknFd1HbwRHdFCin1VQK+Fp8H4qzjUxT5XK9knZ63u9d36PXufb55xLleNrqpgsPy35m21FNSm23GPLf3IfDHZtXdo35U+iiivuj4gKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACvH/2zf26v2cv2CPh9p/xJ/aO8UX1jY6tqhsNMtdI0a41C7uZVhknlZILdGkKRQQyzSPjaiRsxIr2Cvgf/AILceHPiXoHiL4N/tH+D/gt4r8e6R4PXxro2uaH4L0STUr5Jtb8M3en2U32ePLGL7SUid+kaz7jwDQB90+FfFHh7xx4X03xr4R1iDUdJ1iwhvdL1C1fdFc28qCSOVD3VkZWB9DV+vIv+Cf8A8JvGfwG/YW+DnwT+IsezX/Cfww0LSdbi3hvKu7ewhiljyOCFdWXPfbXrtABXM/Gb4veBvgF8Ktf+M/xLv7i20Hw3psl9qc1pYy3MoiQZIjiiVnkcnAVVBJJAFdNXIfH74gaV8K/gn4p+Iet6JrWpWuk6JcTz2HhzRptRvpwEI2wW0CtJM5zwigk0ARfs7fHz4c/tSfA7wv8AtD/CK+urnwz4v0iLUtEnvbN7eV4JPul43+ZDx0PNdpXyL/wQp17Ur3/glr8KPBviD4feLfDGseD/AA/HoOuaT4y8L3Wk3SXcCqzlIrlEaSL94NsoG1iGAOQcfXVABSSSJFG0sjAKoJYnsKWkkcRxtIwJCgkgDJNAHiX7JX/BQr9mP9tfxH4t8HfAzxFrD6t4Kltv7b0vxB4bvNLuPs9yHNteRR3UaNNbTCOQxzKCrbTjtn26vgL/AIJD/FnUP2nv2oPj3+1h8V/hB8RvB3jnxVeWOl6ZoPjH4e6hpFppHhXTpbmHTbeK5uYkju7mZpLi7n8skIbhEHCZP37QAUUUUAeI3X/BQr9mjT/2x7L9hbUtZ1218d6nFMdLa68L3kel308Nqt5LaQ37Ri3luEt2WVolcsqnnB4r26vz2+M+neKfib/wXR+Dvin4XfB/4uR3vgG31qy+IeteJdKuP+EMj0KbSHMF3pssha3F7Jdywwl4NsxWORJBtUV+hNABRRRQB5Z+1h+2X8Av2KvCfh3xl+0B4ql0y08V+MbDwvoKW1m9xLd6leOVhiVEBOPlZmboqqSa9Tr8vv8Ag4P+CX7bHxJ8TeAviB8C/wBl5fib4U8Jy6M1nDaeJha3Wla5J4n0uV7j7KsEslwrW1oluZhtW2iubmVtyqy1+nenTXtxp8E+o2a29w8KtPbrLvETkAsobA3YORnAzigCaiiigDzT9rD9q74V/safCgfGL4vW2vXGmya1ZaTa2XhjQJ9Uv7u8u5hDBDDbW6tJK7uwUBQTzXU/CT4l6P8AGT4aaJ8U/D+ia3ptlrunpd21h4k0abTr+BGHCT206rJA47o4BFeFf8FYfCHwh8ZfsofZPjj4O+LuseH7HxXpmoyH4H2txL4hsbi3lMtvdQi2/fqqTLHl4fnUlTwoYjU/4JTL+0mn/BO/4Tr+142sn4hf8Iwv9vHxI2dS2+dJ9m+1nr9p+zeR5uefM355zQB9B0UUUAVtZ1jSvD2kXfiDXdQhtLGxtpLi8u7iQLHDEilndmPAUKCSewFeXfsg/tsfAf8Abk8CX3xJ/Z/v9budIsr8W63Ot+GrvTftaNGskV1bi5jQz20qMGjmTKOM4PBFXf21vhr4v+M/7G/xZ+D/AMPiP7e8VfDTXdI0TL7Qbu50+eGEZPT53Xmvj/8A4N6PDX7Q/hH4LeN/D3xN034s2PguxuPD1p4K074yrOuqWt9FodrHrccC3H7xLBdQV1gUfugqt5fyYoA/Q2iiigAr58+Ef/BS79nn4yftZap+xZonhr4g6R440yx1G+8rxT8PtQ0yzvbWyuUtp7i2ubiNY7iLzJECyRkq4YEE5FfQdfKH7Ofgfxn8Rv8Agqh8fP2m/GnhPVLDSfCfhfw/8N/h/dalp8sCXsCo+rapc25kUCWJrm7t4fMTKlrMjOVNAH1fRRRQAV4F8av+CmH7JH7P37UPhn9kH4l+M9TtvGPih9PS1W18P3VxY2T388lvYJd3caGK1a5mikjiEjAuykCvfa/KD/gpH8G/jj4q/wCCzXw/8b+HfgT461eaPUPh23gHWdA0KSbwzLa2mtX82vvrsqjyvNtrWWOW0M53Ru+6H5iaAP1fooooA//Z", 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", "info": {"equation": "19*10=190", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "9e550103b9c2e61985b6ce2ff2cf7547f2815f46fc7b236374eda3414b1754a1"} +{"episode": 30684, "episode_seed": 475288295, "split": "train", "timestamp": "2025-10-28T03:46:27.741769", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 475288295, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 0, 7, 6])", "action": "('move', [0, 0, 7, 6])", "reward": 0.0, "image": 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", 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KI7D+B2BwCSPsquB/arsrTU/2YfiLpuoW6zW9z4G1aKeJ+jo1nKrKfYgkVx5hSdfA1aadrxav8j3OGM1p5HxFhMxqUlUjRqQm4PaSjJO3+Xmfk7/war618Vh8RPir4ctre5bwOdFs7m8lNuPJTVhNshAk6h2gM+VHUIpOMDP7QV8w/wDBO/4J/Cb4B6/478DfBrwFYeHdJaDSbl7LT1ba8zG8DOxYlmJCqMknhQOgr6eryuFouORUdb3u/wAXofTeKXE+F4w44xWaYej7KE+VJaXfLFLmlbTmdtbeSu9wr+Xnxt8Wv2nNP/4KX6h8TvHPinVdH+JcPxKeO+1G5KQXFjJ5/wBn2jzPkiRIfkXPyLGBj5QDX9Q1fEHi34B/Bmb9vW/+P8/w301/Gi/FHSbJPEUiM1wsH2CxTYMnaPlJXIXOCRnBNcPFuGnXp4blm4/vFHT+919VbT1Pd8JuPMBwQ8zWJwir+3oOKvbRq/uyv/y7nze/a792OjOY8RH9mz47axpnhr4kftB2XxLjtL5rjR/DXibxpZ6lbG5EbqJharhZpFjaTBZW2hmIAPI9t/4JS319P+zprej6XfXN14M0f4havp3wzuZ8NG2gxNGsSW8gJ862jn+1QwuScxRIASoBOl/wUU+Dnwu+NPw68HfD/wCKvgiy1vRbrx0kk+n3QYI7JpmoMhyhVhhgDwa6/wDYg8P6H4T/AGZtA8LeGNJgsNN0281S1sLG1jCR28MepXSJGoHQBQAPpXNlGX1sDxJOFSs6jVO931u0rPV7Hy2JzmjV4R+qrmvKorRduSCim+aOt+eTbT92KSvrJy931iiikkkSJGlkcKqglmJwAPWvuNj4k8y/aYg0VdEsL26lEd4s7LC2BgxYy+4noo4OfX615h/wTm8SeFPiRc+PPiitrImuX+p2sNul1DErpoIh36c8ZSRy0M264n3HbmR5F2/uwap/tDX19+0X4/0n4OeH2uVs/Fl2dPu542Eb22jxr5moTbijBWePMK5Gd9zHyMZGjYeD9S+Cn7UGj654ahhh08W7aJrFoHSNZdLkO+1dSU5aCXGF3KAks+MnCn87p4yn/rB/afKvYyl7NS87fF89r9j6OVGX9n/Vr++lzW8r7f11Ppiiiiv0Q+cPzS/4OevFHxl0T9jrwrofgeW/i8J6v4t8rxtJZx/u3CR+ZaRTMOVjMqswH3S8aZ5Cg/L3/BD3406ronwK8V+EPHH7UeoeC9D07X4m8O6bF4rtNOR3ljd7pgso3vz5OT0BPHOa/Wz9vTwT4U+JH7MmreAvHWgw6po2ra3olvqWn3OfLuIm1a0yrbSDj6EGsT/gnx8M/h/8LPhR4g+H/wAO/CFjo+i6Z4xnjsNOs4sRwqbS0Y4zkklmYkkkkkkmvhc0yyvjeJuWnXlBune66WdrLVaPf1P2XCeIOX0PCB8NSwSlU9vzc+lrX5uba/tP+Xe1vZ9eh8nWHgn4HeD/AI3/AAf+Jf7Nc+mal4+1j4uwpJ4j0i6h1HUNdsrl3GvPdzgs00a2plkdzxC6xBdm4K36XV8RfBP4BfBfwr+3LD8b/Dvw30208Xa38S/E9vqmvxoxnniEeqjZySFH7qPO0DOwZzX27XdwjQlQwlZOTf7yS18rK/z6nxXFua08x+qwjKU3CnrKfxNybfKtZe5D7N3dtylaN+VFeRftafCH9ir4r6d4ai/bN0PwVd21jrWfCx8ZX8Vsv21wP3UJkdPMZwozFyG2jKnAx67X4Lf8HN3in4y337bmieE/F81+ng6w8IwT+DYHj22rSSMftcqEcPJ5iIrE/MAkY4GM+nn2YQy3LnVlT51dKz2+f9b2Pa8JuEcTxpxlTwFDFvDSUZz9pFvnVla0LNau+uq93mfSx+8i2NiihEs4gAMACMYAqUAAYAwB2Ffl3+wz+01qet/st+AfFnxs/bn1S28TPpay6jYah4/sYiFSZxCskTDcMwrFkMdxyS3JNfoF+ztr3iHxF4ZutS1a/ku7SSdX0+7kkLiVWG5irfxJkggjjk+lcWW8T4XM8ZHD06ck2m7u1lb0b/q3c+Vzvh6vkmLr0KlSM/ZTlC8dpcsnG68na68j0Kiiivpj58K/I/8A4OpPE/xhsvBXws8KaXLfx+A76/v5tZ8mPFvNqcax/ZklcfxCJrhkQ8HDEZK8frhXgH/BRX4XfD34zfCfw38O/il4Uttb0S+8bW5vNNuywjlKWl265KEHhlB4PavF4ipOrkldJ2tG/wB2tvnax9z4bcSYbhLjbB5riKPtYU5O8dL+9FxvG+nNG/NG9tVutzwX/g2+1v4sav8A8E4LW1+I0F0ul2Hi/UbfwVJc2wQSaZiJ2KMBmRBdvdruPdSvRRX3zXkX7C/hbw54H/Zr0rwZ4P0W303StK1jWbXTrC1TbHbwpql0qIo9AB9fWvXa6Mmg4ZTQV7+5H8jy+Ms4pZ/xXjcxpUlTjVqTkorpd9fN7yfVts8l/by8QfFzwr+xl8TfEnwHF5/wl9l4MvptBbTofMuEnERO6Je7qNxXAJyBgE4FfgB/wR3+L3j3wJ+2BHp1p8b9T8H6Br+mXZ8Y6hBrsVktwkUMkkBklnypb7QUwfvfOwHDNX9LNfEP/BN/9n/4K/CP4r6d4i+G3w10zR7/AMTfDq6u9fu7aNjJezfaNNbc5cnHzSOcDAyx4r53iTBVcVmuEjCq4OXMrrpZXutVvsz73gXj7AcN8CZzk9bBqrPEqPLJ2srrl96+vufHC17TvtuR+D5fAXxoutV8K+HfjpJ451XVtM+wXNwfE9vqN1a2r71AURDCIGkZslcZPJ7V9wQRCGBIQchEC8+wpI7eCI7ooUU+qqBT69jJsmnlUqsp1XUlO1212v5u+5+V43GrFqKUOVRvt5/cFfMf/BSjxLr+gj4TWt5rd1pvgy9+JEa+MLuEhICyWk8unxXMhI8uF75LcckBnEak/MAfpyvIv26/CXhrx7+y74h8FeMdGi1HStVvdKtdRsZ87J4X1O1VkOCDggnoQa6c5pOtlVeKdvdeq8lf8djqyDF0MFm9KrXhzQu01o2lJOPMr6c0b80b6cyR5f8AsOeNPGGv/GP466b4Z1WfUfDOmS6MumSCGNreHX/sUqX9tFKv32SKLTTIhJ2O7KcHIH4lfsPeP/2rdQ/4K6eCvGV6+s3HxLv/AIoiPxatzabroLJM0WqJLGwwipbG5DDAEaocbdox+8f/AATw+GHw++Dnw18V/Dv4W+EbPQ9EsPGrfZNNsUIjjL6bp7seSSSWZiSSSSa8g8BfAb4N6P8At5J8fNM+HWnReM9S+KWrWl94iCsbiWAWV6uzliqjbGgJUAkLyeTn4uphJSyvLHzv44r/AMCd/wDyW1kfsPCXiHk3C9bPKKwSqQxFBU4NqKd4QcLzWq5al+eok37ySvL4j7eooor9HPwYKwviho6+IfhxrugSaYl6l9pM9vLaODiZHjKsvHJypI4rdorOtT9rSlC9rpq/qVCXJNS7Hk37MHg2TSpde8bTCdW1b7LbBZFwpW3847l4z1mYE9Pl7YNes0UVy5bgll2BhhlK/Kt9r63NcTXeJryqNWuFfk944+Nvifw7+xpqfjXxN8Xb/RvitL8SzHqtxc3VvDqFr4h/tpUe08uTKxRx26qqjGFtUSQHb85/WGvO0/ZM/Zuj/aBk/apT4N6IPiHLZfZZPFf2b/Smi8oRdc7d3lgR78btny5xxXnZ9k9bN40lTqcnJK//AAV5rp6vU+m4XzvKsojVWNo+0TcJxsou8qfN+7lfanU5vfau/dXuvp8t6F8Sfhj4r8V2Onx/tXv4yu47l30jSNQ8cWl7++Mbp5kcUeGaQRvIvfCu3HcfXPwI8HN4D+FemeHX84Nvubp1nADq1xcSXBUgAYwZSAOoA55rq1tbVGDJbRgjoQgqSoynIqmW4uWIq13UlJcuq6Xvu2zw8Xj44miqcYKKTvp/wyCmTwRXMD206BkkQq6nuCMEU+ivomk1ZnnbHK/Dn4V6X8O57y5tL+S5e6IVGkQL5cYJIXjqeeT3wOBTfGPwk0fxl4qsvE95eyRm2CieBUBE6qxZRn+Hk4PXI9OtdZRXnf2Tl31RYX2a9mndLXe9/Xf/AC2Oj63iPbOrze89LhRRRXonOfLn/BRvxP4i0Pxp8GNM1HWrrT/BN/42uR4juIyqW8t/HZvJpcFzISNkbXALKMgPNHCvJKq3zf4B+P2hL+0R8W/Dr/tg3vhzQNN1bS00+xtfF9jYwLqBsgL9I94LSbSluGJJ2yF04KsB+ifxU+FXw6+N/wAPtU+FXxZ8IWWveHdagEOp6TqEe6K4QMGGcYIIZVYEEEFQQQQDUPwp+Dfwt+B3w+034VfCXwNp+g+HtHiaPTdKsIcRQKzs7YzkklmZiSSSWJJJNfJ5lw7i8dmjxVPEOmnFLS915LVaPfffofZ4fiDKKPDqws8PzV0uS9o8vL7T2ntL/F7T/l3a1uT7X2TwP9ljQfCvjfxhoPi3wZ4u/t6w0W/vb+TWrXUo7xbq6lhuIpWlmTKs7NcyMQMHcOgAIr6ipEjjiXbGgUeijFLXrZPlf9k4V0XNzbk5NtW1dvN9u58vjMV9bqqfLaytYK8++Pv7Kf7On7Utpo9j+0J8IdH8WRaBfG70dNWgLfZpSAGK4IyrBV3Kcq21cg4Feg0V6dSnTqwcZpNPo9URhMXi8BiI18NUlTnHaUW4yV1Z2as1o7ehEtjYooRLOIADAAjGAKlAAGAMAdhRRVnOFFFFABXnn7Suirq/ge0uH0pbn7BqqXKyEEm3YRyJ5gx7OynPGGNeh0detcmPwn17BVMPzcvMmr9jbD1fYVo1LXs7nG/AHwg3gn4WWOjOJg8t1eXsizjDK1zdS3BXGBgAy4APOAM812VFFaYagsNhoUU7qKS+5WIqzdWpKb6tv7zyj9unXvil4X/Y7+JPiH4Kvfp4os/CN5LpEulQebdROIzukhTB3Sqm5lABO4DAJwK+HfH3xm8CeC/id8D/AA98Lf2kX8OaTfaLqS3t7pfiK0h8/QVsEMMss8u7bm7htVUg5dhKOdrY/TmvOvgp+yR+zV+zlrHiHxB8Dvgzofhm88V3guvEE+mW203kgZ2XOSQqhpHIRcKNxwBXg51keJzTF0qtKs4cia63V+qs1r0eq0Prckz3KsvymrQxNDnqe+4aRtJzgoe+3qlTtzwspe9de7fmXhHwQ+MY8Qa2NA+HX7R9z43vFuY52t38U2+oyRL9zkQYKxnPORjvX14M45pkdvBEd0UKKfVVAp9dmUZVWyxT9pXlVcrb9LfN/wBJHzmMxUMU48sFG3b/AIZBXzF/wUo8S6/oA+E1re63dab4MvfiREnjC7iISAslpPLp8VzISPLhe+S3HJAZxGpPzAH6drD+JXw18B/GLwHqvww+J/hW01vw/rdm1rqulX8e6K4ibqpHUHIBBGCCAQQQDXZmWFnjsDUoRlyuStf+unfyOjJMdh8uzSnXrw5oK6a0btKLjeN9OaN+aN9OZI/Ozwz8fNGtf2pPin4Tb9rq98MaBpqaL5dhaeLLKwgTV2t5UvUUuC0jLFDZBwSdjll4IIH0N+zDofhH4geL9D8R+DPG/wDwkVpo+sXOo3Wt22qRXv2m6aCeJ/OmTKlz9oJIGDwO1e/fB/4HfCP4AfD2w+FHwa8Aad4e8O6Z5n2HSrCHEcRd2kc/NksWdmYkkkk11McccS7Yo1UeijFfMYPhTEUKlGdXEuSptS5bO110V3p622PUzjPMDisTU+p0OWDiopuyk1GKjzSSulKVuaSUnZvd7t1FFFfaHywUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFch8fPjv8K/2Yvg34h+Pvxt8VRaJ4V8Lac17rOpSoz+VGCAAqqCzuzFUVFBLMygAk119fJv/AAW9+CvxP+PP/BNnxx4O+D3hK88Q65p+p6Fr0Xh3To99xqkGm6xZ309tEn8cjQ28m1OrMFUcmgD2T9kv9rz4H/tr/Cg/GH4Da7e3Wmwatc6Xqdlq2lTWF9pl/bsFmtbq2nVZIJVypKMAcOp6EV6dXxd/wRt8LeP9Qg/aC/aX8V/DXxJ4P0f4x/HvUfE3g3QPF2kSafqI0wWNlaJcz2smHt3lktpG2OA20KT1FfaNABRRRQB43+2V+3j+zn+wb4X0Dxb+0Tr+p2Vr4l12LSdJXStDuL53uJGVQXEKMIowXQF3IXLqOSQK9kr4Y/4OEfFmpWv/AAT/ALn4a+GvhZ468V614n8X6C2m2PgjwXe6w8a2Wr2V7O8wtY3MK+TBIVZsBmAUcmvsr4Y/EDSviv8ADnQ/iboWlatYWXiDSoNQtLLXtKlsb2COWMOqT28wWSCUA4aNwGUgggEUAbtFFFABXgXxK/4KX/sm/CL9qzQv2OfiF4p1rTvFniLUbbTdNvZvC17/AGQ2o3MJmt7BtR8r7MLqSMBli37sEZxmvfa/OP8Abu+Nd/8AGr/gq58If2Ufin8Ffilb/Cv4YeJNJ8XL4h8PfDLU9SsfE3i6Q7NNhe9ghaG0sbITmeeV25kwjbVjZqAP0cooooAKKKKAPAv2dv8AgpZ+yr+1B8fvEX7M3wx13xDF4u8OaY+pvY+IfCN9pialp6XJtWvbKS5iRbu3Ew2ebHlSSMZHNe+1+av7B2leKfiB/wAFpPiJ+0n8Mfgp8adA8Fax8KJrD4gXfxr0e5h+xeIhq4lgsNGe6LFbQRGd2jtmNtnYV7V+lVABRRRQBHdXVtY2sl7e3CRQwxl5ZZGAVFAyWJPQAc5ryn9jH9tr9nv9vv4Qz/HT9mbxRc6z4Zg1+80cahc6fJbebcWzKshRZACyfMCrjgg1if8ABS/4f/tC/Fj9h34gfC79lzRIdS8YeI9Mi0230+bXE0w3NlNcxR38SXbqy28jWbXKpIVbazKdpIxXz1/wb5eCvj38Nv2fvi54H+Nv7K7/AAogh+P/AIouvD2htqhuU+zzXWWigJgi8y2hKrHFcqClwgEihRxQB99UUUUAFeNftift0/BX9iHTfC978XdI8X6nc+Mtal0rw5pHgjwhd63fXlzHbSXLqtvaI8hCwxSOSBwFJ7V7LXw7/wAFyPBHw08T/Bnwr4i8c+Cf2gL/AFjw9eareeBdY/Z8tbt9R0vW306W3gad7P8AfxRyCZ0DD92fmEhCnBAPszwD4y074ieBtG+IGkadqVnaa5pVvf21prGnSWd3DHNGsipPBKBJDKAwDRuAysCCAQa1q8k/YJT9oSP9ij4Up+1g1wfiUPAWl/8ACbm8Kmf+0vsyed5u35fN3Z34437q9boAKKKKAPEfjZ/wUM/Zi+AX7Q3hn9lvx14j1ifxn4ngguY9O0Lw1eaiml2s9x9mgur+W3jdLGCSfMaySlVLA84Ga9ur8ef+CiPwC/bI8F/8FjdU+NX7P+lfGFdc+IA+HafDjV/A4uf+EZ8qw1F4tdttfaP9ysSWTyyok/yn7QxTL9P2GoAKKKKACvmv4F/8FVP2aPj9+0837IPhzwt8SdD8bnSb3U7ey8afDbUtHhurO0lWKaeKW6iRZI97qAy5BLDB5r6Ur48/ZN8BeOfir/wVN/aJ/a/+IPgzV9M0vwzpuj/C74Zy6xp0tv8AarG2j/tHVLqDzFHmQy3tyiLKmVf7KcE4oA+w6KKKAP/Z", 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", "info": {"equation": "16*8=128", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "16*8=128", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "96d5de0ad2999487fe6249183e422320e1c27d46f3f2f0a95179b993f3deddd2"} +{"episode": 30685, "episode_seed": 818326522, "split": "train", "timestamp": "2025-10-28T03:46:27.804541", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 818326522, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 5, 4, 0])", "action": "('move', [6, 5, 4, 0])", "reward": 0.0, "image": 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", "info": {"equation": "81-47=34", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "81-47=34", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "0afd5f96af33c559cd9ea4cf42ceb64619cabb8616c8b5b059a138571701c896"} +{"episode": 30686, "episode_seed": 4249666637, "split": "train", "timestamp": "2025-10-28T03:46:27.869416", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4249666637, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 4, 2, 7])", "action": "('move', [0, 4, 2, 7])", "reward": 0.0, "image": 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FcqJpIh13rCZWBHzAqCOQK9xoIDAqwBBHINe7XputRlTTtdNXW6ut/kRleMjl2Z0MXKmqipzjJxltLlknyvydrPyZ/Nr/AMEXfi7418A/tSXXh23+OepeC/C+taLcS+KLq216GxjnaFGNsXkmypYSyYGPmIduxav2V+AvxfbxLrsOg/Dv9oa48cXEV9HNNE/ieDUXhVsLh/IxtjIU/eH94g17j8C/2TP2bf2Zv7b/AOFCfBvRPC3/AAkd8LvW/wCy7bb9qlG7aTknCrvfagwq7jgDJr0GOCCI5ihRSeu1QK+LwnCWOo04xeLkknflje299NV+W5+l+JniJlvHHFE8zwuD9nFwjH3rczsvilZNX15Vq/djH0T6KKK+5PyYKzPGk+v2vg7VrrwpD5mqR6ZO2mx7Qd9wI2MYweDlscHitOik1dWKhLkmpWvbo9mfzV/8ExfHP7S9/wD8Fd/AnikS6xd+N9V+IUieN2u7XfctbyyOuqmdXHybYTOW4GzbxgqBX9KlfEfwW+Anwa8MftzRfHHQPhzp1t4u1z4l+J7fVfECIxuLiIR6qNpJJCj93HnaBnaM5r7cr5ThGg6GErRcm7VJLXytr8+p+s+L/HOC47znCYrDYX2Cp0IRa0u3du2n2Y3tDrbWyvZFfgt/wc3eKfjLfftuaJ4T8XzX6eDrDwjBP4NgePbatJIx+1yoRw8nmIisT8wCRjgYz+9NeRftafCH9ir4r6d4ai/bN0PwVd21jrWfCx8ZX8Vsv21wP3UJkdPMZwozFyG2jKnAx6efZfPM8udCM+V3Tu9tOj/rex53hNxjhuBuMqeZ18M68eWceWKTmuZfFC/XSz291yPgb9kv426d8Wv2LvCll+07+2rqb6hrfhx7fxLompfEW0thNas8kawzICsih7fYGywchjkgk17l+wj4T8B/DT9uvX/Bv7Ofh/TtM8K3vwqt7vx1p/h2zhWwg1JLuJNJdjH/AKueW0e+O0Y3xxpIQSQzfVf7Rul6bL+zt48tZNPhMbeCtURk8sYK/ZJRj6YrxD/gnH8C/g/8APE/jbwl8F/h9p/hzTrrRtDu7m109WxLO0mpKZGZyzMdqqOTwBxXzNLKMRl/EGFjUxEql1J630sttW9GRV4ow2LwGZ1o03TVeTtSjb2S55Xu9VrT05Eo7pPmXLZ/VFFFFffn5weP6p8G/wBiS8/a9svinq/h7wQ3xqTR82M819CNZNmI3i81bcvuZRH5iebsJCgruwMD1xbW1RgyW0YI6EIK/mL/AGkfjH+1ToP/AAVC8U/E7xB4v1rRviTp3xFngtb95Ft57JFlMEEabvkSIW5RFB+QxnnKkk/s54J+OnhM+Jo7DQf2zrrxDd3ga3t9JuPHtndeczf3I4wHL8cbTnrXwsOMsHQlVjKg0+Z7W185bWffc/aPEXw0zDhahlk6uPWIVaimrtvktZ8sNX+7973Hpf3tEfblFYvw8udbvPBOm3XiIP8AbHtwZjIMMeTgsD0JGCfetqvtaFVV6EaiVuZJ2e6ur6n41Uh7Obj2djyX9vLxB8XPCv7GXxN8SfAcXn/CX2Xgy+m0FtOh8y4ScRE7ol7uo3FcAnIGATgV/P5/wR5+KPjDwR+2bb/Z/jHe+ENI1rR72PxXq8Osw2ZlhWJpY1eacEDNysPT5iT6E1/S7XxD/wAE3/2f/gr8I/ivp3iL4bfDXTNHv/E3w6urvX7u2jYyXs32jTW3OXJx80jnAwMseK+Q4lwVTF5rhIwquDlzJNdLK91qtXsfr/AvH2A4b4EznKK2DVWeJUeWTtZXXL719fc+OFr2nfbc8w+L3h39jv4o+GvE/wAS/ij8X9O8a6no/hdh/wAJRqniy31C/wBAt43MkUlmyMPssguCrIyAO8mxSWyFr7t/ZP1f4n+IP2YPh3rvxrguY/GF54K0ybxRHe2whmW/a1jM4kjAAR/MLZUAYORXzL/wUj/Z/wDgp8WPitceKfiT8NNM1rUPC/w0kutAuL2Nj9im866beqghWO6ND8wI+UcV9q2JLWULMSSYlyT9KfDeDqYPNcXTnUc3HlTb63Td3q9VsfIZ3nFLF8OYTDLmbvKXvWtTS91Qp6t2lpKekdVFKPu3ctfnV/wcw+J/jFoH7B+mad8PZr+Lw9qvjG3tvG8tlHlTaeW7wpMw5WNrhYvYsEU9QD+itcx8aPCvwm8bfCfxB4W+O9hpFz4OvNLlXxJHr0qx2YtAu52ldyBGqgbt+Rt2hgQRmvpcywssbgKlCMuVyTV/66d/I5OCs8pcNcWYLNKtH20aNSMnDq/T+8t4/wB5I/Ej/ghn8Zta8O/C3xt4N8ZftOX/AIK8OWesWs+g2EPim005JbmWOT7U4EoLOdsdtk/dHbkmvqy/8MfBnwd8RPh38WP2adZstU+JOufF2xij8T6RqMWo6nr8dxcxjWo7qYMxngWw86SRT8kAijZRHxn73/Zz+H37O/w/+DejeGP2YdI8Ow+B4UlfRB4auI7izcNK7SOkqMwkzIXy24nOeeK+W/AHwD+DOift4R/HrSfhxpsHjLUfilq1pe+IVRjcSQCyvV2cttUbY0BKgEheTyc/BYjIcTl7wnPiXJOpBJK9o36x1+7RH6Dm3HmDznjLMs2hQlQjNSfs0l79ko8tZXSSlrKppPVuKWvMvt+iiiv0s/Fj4c+NfjyOw/bY+LVl8bfGcmmabpXgzSH8KQanPHb2segtbu19dwFiBITe+YkznO3ybdTgFd3lH7MXx28O+Mf2ZPCZ+Mv7bF/LdahoITV9F1fx3YW6zWzFlSGaABSgaDYGTgjcQcHNfe/x0/ZO/Zv/AGmb/QNT+Pfwd0XxVceF7xrrQZdVty5tJGKFsYI3KxjQlGyrbBkHFd+bO0JybWMn/cFfGV+F8ZWx9avHFOCm76Xv6PVaLZb6H2+M4jyirlVGlSw3721NTbUUo+zhyLkau37T46l1H3kvi3PKf2XfCIsTrnj3dKRrS2kEe7HlskAlIdOOcmcjOSPlGOhr1qgAAYAor6XLcEsuwMMMpX5VvtfW58fia7xNeVRq1wr8nvHHxt8T+Hf2NNT8a+Jvi7f6N8VpfiWY9VuLm6t4dQtfEP8AbSo9p5cmVijjt1VVGMLaokgO35z+sNedp+yZ+zdH+0DJ+1Snwb0QfEOWy+yyeK/s3+lNF5Qi6527vLAj343bPlzjivOz7J62bxpKnU5OSV/+CvNdPV6n03C+d5VlEaqxtH2ibhONlF3lT5v3cr7U6nN77V37q919PmrwL8cvCknicaX4a/bIu/Et3eq0FtpNx47tLsy87spHEA5cBeo7Zr7E8DXGtXXg/TrnxCjC9e0Q3G8YYnHUjsSMEj1zWitraowZLaMEdCEFSUZTk2Iy2vKrVxEqt1azvpr5t/1c8HF4yniaajGmo27f8Mgooor3zgCiiigAooooAKKKKAPCfBXw3ab9oddVOlSWa6NrmoaqywqRG8lxFcxlmLA5Dm5d+CMnpwCK92oorzcry5ZbRnBS5uaTld+Z04rEvEzUrWskvuCvwW/4ObvFPxlvv23NE8J+L5r9PB1h4Rgn8GwPHttWkkY/a5UI4eTzERWJ+YBIxwMZ/emvPvj7+yn+zp+1LaaPY/tCfCHR/FkWgXxu9HTVoC32aUgBiuCMqwVdynKttXIOBWOe5bVzXL3h6c+V3T8nbo/63SPvvCvjbA8AcX082xdD20FGcbK3NHmXxRvpfo9V7rkfnn+xp+0Cvj/9kHwZdftEfttal/bOpaC0eu6PqnxAsoRJAZJESKWI/OA1uIwwY7iGJJyTX3b+yt4Whgn1v4g2zu0Or2dja2zKQYnigNw6uhA+YH7SRnJBwMdDn1tbGxRQiWcQAGABGMAVKAAMAYA7CvOy/hytg8dDE1cTKpyJpJrurdZP+rHzWdZ7SzbFYirTw8aSqzlPljtG8nLlWi0Wy8gooor6k+dPO7/9kz9m7U/2gLf9qjUPg5os3xCtbP7Lb+KntyblIvLaL12lvLZk3kbtp25wAK9AW1tUYMltGCOhCCpKKiFOnTvypK7u7dX3fmdOIxmLxagq9SU+SKjHmbfLFbRV9oq7slogoooqzmPKP26de+KXhf8AY7+JPiH4Kvfp4os/CN5LpEulQebdROIzukhTB3Sqm5lABO4DAJwK+HfH3xm8CeC/id8D/D3wt/aRfw5pN9oupLe3ul+IrSHz9BWwQwyyzy7tubuG1VSDl2Eo52tj9Oa86+Cn7JH7NX7OWseIfEHwO+DOh+GbzxXeC68QT6ZbbTeSBnZc5JCqGkchFwo3HAFfNZ1keJzTF0qtKs4cia63V+qs1r0eq0PsMkz3KsvymrQxNDnqe+4aRtJzgoe+3qlTtzwspe9de7fmXzF4Pl8BfGi61Xwr4d+OknjnVdW0z7Bc3B8T2+o3VravvUBREMIgaRmyVxk8ntX3BBEIYEhByEQLz7Ckjt4IjuihRT6qoFPrpybJp5VKrKdV1JTtdtdr+bvufO43GrFqKUOVRvt5/cFfnV/wcw+KPjF4f/YQ0zTvh7NfxeHtV8YW9t43lso/lNp5bvDHMw5WNrhYvYsEU9QD+itYfxJ+G3gP4w+A9V+GHxP8LWmt6Brdm1rqulX0e6K4ibqpHUc4IIwQQCCCAa78xwssdgalCMuVyVr/ANdO/kezwZn1DhfirB5tWpe1hRmpOOmqXa+nMt4/3kj8Qf8Agh18c/E+j/Cjxh4G8eftT6r4O8M6Vqds/hjTV8W2unxedMJmuzGswLEZEJIHygsSOWav0x/Zh0Pwj8QPF+h+I/Bnjf8A4SK00fWLnUbrW7bVIr37TdNBPE/nTJlS5+0EkDB4Havf/g/8D/hJ8Afh7YfCn4N+ANO8P+HdM8z7DpVhDiOIu7SOfmJJLOzEkkkk11EcccS7Yo1UeijFfMYPhTEUalGdXFOSptS5bO110V3p92x7fHXGmE4r4mxuZ4bCqlGu9Fpe1lG8rL4pW5pav3m9XuOooor7Q/P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", "info": {"equation": "52+13=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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TWJwir+3oOKvbRq/uyv8A8u583v2u/djoytoXxJ+GPivxXY6fH+1e/jK7juXfSNI1DxxaXv74xunmRxR4ZpBG8i98K7cdx9c/Ajwc3gP4V6Z4dfzg2+5unWcAOrXFxJcFSABjBlIA6gDnmurW1tUYMltGCOhCCpK7cpyKpluLliKtd1JSXLqul77ts/McXj44miqcYKKTvp/wyCvDv+ClXib4xeDf2Dfin4n+AT3yeLLLwnPJpkumRb7mFcqJpIh13rCZWBHzAqCOQK9xoIDAqwBBHINe7XputRlTTtdNXW6ut/kRleMjl2Z0MXKmqipzjJxltLlknyvydrPyZ/NL/wAEb/H3xM0j9svw/wCAvDvie8h8Oa/emfxRpqTjybw29vcNbO6t95klfKlfmG5v4d1fsn+zN8QdU/4S7W/BHhH4hve6haeOL2a58OpqaSGxSS4IAaFfmijcZf5uCWZgfTqvif8Aso/s5fsw+BYm+AHwf0bwofEfxB0+71s6TblPtUoE20nJOFXe+1BhV3NgDJr0f9jqNB8KLyQINx8Xazlscn/Tpq/NsJw7iaObxwjrtNQ5rxvtz/CtV6+vQ/VvEzj7L+OM6nnGFwvs4NRhaVuZuMfila6vryrX4Yx16Hq1FFFfpx+NhWZ40n1+18HatdeFIfM1SPTJ202PaDvuBGxjGDwctjg8Vp0UmrqxUJck1K17dHsz+av/AIJi+Of2l7//AIK7+BPFIl1i78b6r8QpE8btd2u+5a3lkddVM6uPk2wmctwNm3jBUCv6VK+I/gt8BPg14Y/bmi+OOgfDnTrbxdrnxL8T2+q+IERjcXEQj1UbSSSFH7uPO0DO0ZzX25XynCNB0MJWi5N2qSWvlbX59T9Z8X+OcFx3nOExWGwvsFToQi1pdu7dtPsxvaHW2tleyK/Bb/g5u8U/GW+/bc0Twn4vmv08HWHhGCfwbA8e21aSRj9rlQjh5PMRFYn5gEjHAxn96a8i/a0+EP7FXxX07w1F+2bofgq7trHWs+Fj4yv4rZftrgfuoTI6eYzhRmLkNtGVOBj08+y+eZ5c6EZ8rund7adH/W9jzvCbjHDcDcZU8zr4Z148s48sUnNcy+KF+ulnt7rkfA37Jfxt074tfsXeFLL9p39tXU31DW/Dj2/iXRNS+ItpbCa1Z5I1hmQFZFD2+wNlg5DHJBJr3L9hHwn4D+Gn7dev+Df2c/D+naZ4VvfhVb3fjrT/AA7ZwrYQakl3Emkuxj/1c8to98doxvjjSQgkhm+q/wBo3S9Nl/Z28eWsmnwmNvBWqIyeWMFfskox9MV4h/wTj+Bfwf8AgB4n8beEvgv8PtP8OaddaNod3c2unq2JZ2k1JTIzOWZjtVRyeAOK+ZpZRiMv4gwsamIlUupPW+lltq3oyKvFGGxeAzOtGm6arydqUbeyXPK93qtaenIlHdJ8y5bP6oooor78/ODx/VPg3+xJefte2XxT1fw94Ib41Jo+bGea+hGsmzEbxeatuX3Moj8xPN2EhQV3YGB64traowZLaMEdCEFfzF/tI/GP9qnQf+CoXin4neIPF+taN8SdO+Is8FrfvItvPZIspggjTd8iRC3KIoPyGM85Ukn9nPBPx08JnxNHYaD+2ddeIbu8DW9vpNx49s7rzmb+5HGA5fjjac9a+Fhxlg6EqsZUGnzPa2vnLaz77n7R4i+GmYcLUMsnVx6xCrUU1dt8lrPlhq/3fve49L+9oj7corF+Hlzrd54J0268RB/tj24MxkGGPJwWB6EjBPvW1X2tCqq9CNRK3Mk7PdXV9T8aqQ9nNx7Ox5L+3l4g+LnhX9jL4m+JPgOLz/hL7LwZfTaC2nQ+ZcJOIid0S93UbiuATkDAJwK/n8/4I8/FHxh4I/bNt/s/xjvfCGka1o97H4r1eHWYbMywrE0savNOCBm5WHp8xJ9Ca/pdr4h/4Jv/ALP/AMFfhH8V9O8RfDb4a6Zo9/4m+HV1d6/d20bGS9m+0aa25y5OPmkc4GBljxXyHEuCqYvNcJGFVwcuZJrpZXutVq9j9f4F4+wHDfAmc5RWwaqzxKjyydrK65fevr7nxwte077bnmHxe8O/sd/FHw14n+JfxR+L+neNdT0fwuw/4SjVPFlvqF/oFvG5kiks2Rh9lkFwVZGQB3k2KS2Qtfdv7J+r/E/xB+zB8O9d+NcFzH4wvPBWmTeKI722EMy37WsZnEkYACP5hbKgDByK+Zf+Ckf7P/wU+LHxWuPFPxJ+Gmma1qHhf4aSXWgXF7Gx+xTeddNvVQQrHdGh+YEfKOK+1bElrKFmJJMS5J+lPhvB1MHmuLpzqObjypt9bpu71eq2PkM7zili+HMJhlzN3lL3rWppe6oU9W7S0lPSOqilH3buWvzq/wCDmHxP8YtA/YP0zTvh7NfxeHtV8Y29t43lso8qbTy3eFJmHKxtcLF7FginqAf0VrmPjR4V+E3jb4T+IPC3x3sNIufB15pcq+JI9elWOzFoF3O0ruQI1UDdvyNu0MCCM19LmWFljcBUoRlyuSav/XTv5HJwVnlLhrizBZpVo+2jRqRk4dX6f3lvH+8kfiR/wQz+M2teHfhb428G+Mv2nL/wV4cs9YtZ9BsIfFNppyS3Mscn2pwJQWc7Y7bJ+6O3JNfVl/4Y+DPg74ifDv4sfs06zZap8Sdc+LtjFH4n0jUYtR1PX47i5jGtR3UwZjPAth50kin5IBFGyiPjP3v+zn8Pv2d/h/8ABvRvDH7MOkeHYfA8KSvog8NXEdxZuGldpHSVGYSZkL5bcTnPPFfLfgD4B/BnRP28I/j1pPw402DxlqPxS1a0vfEKoxuJIBZXq7OW2qNsaAlQCQvJ5OfgsRkOJy94TnxLknUgkle0b9Y6/doj9BzbjzB5zxlmWbQoSoRmpP2aS9+yUeWsrpJS1lU0nq3FLXmX2/RRRX6Wfix/P/8A8HKHiz40Xn/BQiPw940uNQi8M6R4YspPAcboUgEciK11NERwzm5V1ZvvfukHRVr7D/ZZ/aCtfiD+y14O1D9of9tq/m1rV/DcZ8T6Nq3xAsY0mD7gYZouGAaIqGUkNhjkg5r76+Of7J/7OH7TF/oGp/Hr4PaL4puPC94brQZdVty5tJSULYwRuVjGmUbKttGQcV35s7QnJtYyf9wV8ZX4XxlbH1q8cU4Kbvpe/o9VotlvofsPEfiZlmdcC5TkVPAqNTBpqU9LPS3u6N+/8dS9vfS33PKf2XfCIsTrnj3dKRrS2kEe7HlskAlIdOOcmcjOSPlGOhr1qgAAYAor6XLcEsuwMMMpX5VvtfW5+S4mu8TXlUatcK/J7xx8bfE/h39jTU/Gvib4u3+jfFaX4lmPVbi5ureHULXxD/bSo9p5cmVijjt1VVGMLaokgO35z+sNedp+yZ+zdH+0DJ+1Snwb0QfEOWy+yyeK/s3+lNF5Qi6527vLAj343bPlzjivOz7J62bxpKnU5OSV/wDgrzXT1ep9NwvneVZRGqsbR9om4TjZRd5U+b93K+1Opze+1d+6vdfT5q8C/HLwpJ4nGl+Gv2yLvxLd3qtBbaTceO7S7MvO7KRxAOXAXqO2a+xPA1xrV14P0658QowvXtENxvGGJx1I7EjBI9c1ora2qMGS2jBHQhBUlGU5NiMtryq1cRKrdWs76a+bf9XPBxeMp4mmoxpqNu3/AAyCiiivfOA4H9o7RV1n4eoz6WtyLPUoboMQSYCm7Egx6Zxzxgmpv2d/B7eDPhlDZOJg97qF5fyJOMMpnneXGMDA+bjPOK7jr1orzY5clmzx3Nq4clvne9zpeJbwioW63v8AKwUUUV6RzBRRRQB4T4K+G7TftDrqp0qSzXRtc1DVWWFSI3kuIrmMsxYHIc3LvwRk9OARXu1FFebleXLLaM4KXNzScrvzOnFYl4mala1kl9wV+C3/AAc3eKfjLfftuaJ4T8XzX6eDrDwjBP4NgePbatJIx+1yoRw8nmIisT8wCRjgYz+9NeffH39lP9nT9qW00ex/aE+EOj+LItAvjd6OmrQFvs0pADFcEZVgq7lOVbauQcCsc9y2rmuXvD058run5O3R/wBbpH33hXxtgeAOL6ebYuh7aCjONlbmjzL4o30v0eq91yPzz/Y0/aBXx/8Asg+DLr9oj9trUv7Z1LQWj13R9U+IFlCJIDJIiRSxH5wGtxGGDHcQxJOSa+7f2VvC0ME+t/EG2d2h1ezsbW2ZSDE8UBuHV0IHzA/aSM5IOBjoc+trY2KKESziAAwAIxgCpQABgDAHYV52X8OVsHjoYmriZVORNJNd1brJ/wBWPms6z2lm2KxFWnh40lVnKfLHaN5OXKtFotl5BRRRX1J86ed3/wCyZ+zdqf7QFv8AtUah8HNFm+IVrZ/ZbfxU9uTcpF5bReu0t5bMm8jdtO3OABXoC2tqjBktowR0IQVJRUQp06d+VJXd3bq+78zpxGMxeLUFXqSnyRUY8zb5YraKvtFXdktEFFFFWcx5R+3Tr3xS8L/sd/EnxD8FXv08UWfhG8l0iXSoPNuonEZ3SQpg7pVTcygAncBgE4FfDvj74zeBPBfxO+B/h74W/tIv4c0m+0XUlvb3S/EVpD5+grYIYZZZ5d23N3DaqpBy7CUc7Wx+nNedfBT9kj9mr9nLWPEPiD4HfBnQ/DN54rvBdeIJ9MttpvJAzsuckhVDSOQi4UbjgCvms6yPE5pi6VWlWcORNdbq/VWa16PVaH2GSZ7lWX5TVoYmhz1PfcNI2k5wUPfb1Sp254WUveuvdvzL5i8Hy+AvjRdar4V8O/HSTxzquraZ9gubg+J7fUbq1tX3qAoiGEQNIzZK4yeT2r7ggiEMCQg5CIF59hSR28ER3RQop9VUCn105Nk08qlVlOq6kp2u2u1/N33PncbjVi1FKHKo328/uCvzq/4OYfFHxi8P/sIaZp3w9mv4vD2q+MLe28by2Ufym08t3hjmYcrG1wsXsWCKeoB/RWsP4k/DbwH8YfAeq/DD4n+FrTW9A1uza11XSr6PdFcRN1UjqOcEEYIIBBBANd+Y4WWOwNShGXK5K1/66d/I9ngzPqHC/FWDzatS9rCjNScdNUu19OZbx/vJH4g/8EOvjn4n0f4UeMPA3jz9qfVfB3hnStTtn8Maavi210+LzphM12Y1mBYjIhJA+UFiRyzV+mP7MOh+EfiB4v0PxH4M8b/8JFaaPrFzqN1rdtqkV79pumgnifzpkypc/aCSBg8DtXv/AMH/AIH/AAk+APw9sPhT8G/AGneH/DumeZ9h0qwhxHEXdpHPzEklnZiSSSSa6iOOOJdsUaqPRRivmMHwpiKNSjOrinJU2pctna66K70+7Y9vjrjTCcV8TY3M8NhVSjXei0vayjeVl8Urc0tX7zer3HUUUV9ofnoUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFch8fPjv8K/2Yvg34h+Pvxt8VRaJ4V8Lac17rOpSoz+VGCAAqqCzuzFUVFBLMygAk119fJv/AAW9+CvxP+PP/BNnxx4O+D3hK88Q65p+p6Fr0Xh3To99xqkGm6xZ309tEn8cjQ28m1OrMFUcmgD2T9kv9rz4H/tr/Cg/GH4Da7e3Wmwatc6Xqdlq2lTWF9pl/bsFmtbq2nVZIJVypKMAcOp6EV6dXxd/wRt8LeP9Qg/aC/aX8V/DXxJ4P0f4x/HvUfE3g3QPF2kSafqI0wWNlaJcz2smHt3lktpG2OA20KT1FfaNABRRRQB43+2V+3j+zn+wb4X0Dxb+0Tr+p2Vr4l12LSdJXStDuL53uJGVQXEKMIowXQF3IXLqOSQK9kr4Y/4OEfFmpWv/AAT/ALn4a+GvhZ468V614n8X6C2m2PgjwXe6w8a2Wr2V7O8wtY3MK+TBIVZsBmAUcmvsr4Y/EDSviv8ADnQ/iboWlatYWXiDSoNQtLLXtKlsb2COWMOqT28wWSCUA4aNwGUgggEUAbtFFFABXgXxK/4KX/sm/CL9qzQv2OfiF4p1rTvFniLUbbTdNvZvC17/AGQ2o3MJmt7BtR8r7MLqSMBli37sEZxmvfa/OP8Abu+Nd/8AGr/gq58If2Ufin8Ffilb/Cv4YeJNJ8XL4h8PfDLU9SsfE3i6Q7NNhe9ghaG0sbITmeeV25kwjbVjZqAP0cooooAKKKKAPAv2dv8AgpZ+yr+1B8fvEX7M3wx13xDF4u8OaY+pvY+IfCN9pialp6XJtWvbKS5iRbu3Ew2ebHlSSMZHNe+1+av7B2leKfiB/wAFpPiJ+0n8Mfgp8adA8Fax8KJrD4gXfxr0e5h+xeIhq4lgsNGe6LFbQRGd2jtmNtnYV7V+lVABRRRQBHdXVtY2sl7e3CRQwxl5ZZGAVFAyWJPQAc5ryn9jH9tr9nv9vv4Qz/HT9mbxRc6z4Zg1+80cahc6fJbebcWzKshRZACyfMCrjgg1if8ABS/4f/tC/Fj9h34gfC79lzRIdS8YeI9Mi0230+bXE0w3NlNcxR38SXbqy28jWbXKpIVbazKdpIxXz1/wb5eCvj38Nv2fvi54H+Nv7K7/AAogh+P/AIouvD2htqhuU+zzXWWigJgi8y2hKrHFcqClwgEihRxQB99UUUUAFeNftift0/BX9iHTfC978XdI8X6nc+Mtal0rw5pHgjwhd63fXlzHbSXLqtvaI8hCwxSOSBwFJ7V7LXw7/wAFyPBHw08T/Bnwr4i8c+Cf2gL/AFjw9eareeBdY/Z8tbt9R0vW306W3gad7P8AfxRyCZ0DD92fmEhCnBAPszwD4y074ieBtG+IGkadqVnaa5pVvf21prGnSWd3DHNGsipPBKBJDKAwDRuAysCCAQa1q8k/YJT9oSP9ij4Up+1g1wfiUPAWl/8ACbm8Kmf+0vsyed5u35fN3Z34437q9boAKKKKAPEfjZ/wUM/Zi+AX7Q3hn9lvx14j1ifxn4ngguY9O0Lw1eaiml2s9x9mgur+W3jdLGCSfMaySlVLA84Ga9ur8ef+CiPwC/bI8F/8FjdU+NX7P+lfGFdc+IA+HafDjV/A4uf+EZ8qw1F4tdttfaP9ysSWTyyok/yn7QxTL9P2GoAKKKKACvmv4F/8FVP2aPj9+0837IPhzwt8SdD8bnSb3U7ey8afDbUtHhurO0lWKaeKW6iRZI97qAy5BLDB5r6Ur48/ZN8BeOfir/wVN/aJ/a/+IPgzV9M0vwzpuj/C74Zy6xp0tv8AarG2j/tHVLqDzFHmQy3tyiLKmVf7KcE4oA+w6KKKAP/Z", "info": {"equation": "52+13=65", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "e1a9afbb4da6e98b16291b50bb0792d01a3166ba24810186f2776b10dfc5cb5a"} +{"episode": 30687, "episode_seed": 591332683, "split": "train", "timestamp": "2025-10-28T03:46:27.939324", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 591332683, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 8, 4])", "action": "('move', [2, 0, 8, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "5+13*7=96", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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kGXQwssPLCQ5JVYpcz1UXKnrG9+VyleUbzlJX0u6//BMO/wBSvP2UrW0S9ubnw9p3ifWLDwLc3OD5mgw30sdj5bAnzIViUJE+TuiSMgkEE/QteZ/sc6NpPhz9mjwn4e0DTobOwsLKS2srS3QLHBDHPIiRqB0VVAAHoK9Mr7PLIuGXUYt392OvyR+T55jIZhnOIxMY8qnOTt6t7+ffzPyN/wCDqjxH8WLXwd8J/Cuny3qeCL2/1GfVREn+jy6nGkQthIw/iET3BVT1y5GccZ//AATM+LPjK8/Yi8J/EX4ufFS5s59N+IlvbQ+Ib/VIoWt7G3toYLaJpn+VUESJDhuSpx3Br9Ufjr+z78F/2mvAEnwu+PXw70/xPoEt1FctpupIxQTRklJFKkMrDJGQRwxHQkV4Vd6Donh39qKHw1oOk29np9j480u3s7K3iCRQxJoMCoiqOAqqAAB0Ar43iHJq7zGOKVWyqTpxS1untf5WuvNvbr+mLj7AYzw1wnDMcIlVw86lSVTS0k+Zpd7vntK+loR3vaPuPwF1XXtY8DfbdcuZZw10/wBknmYs0kWAc5PUZzg12tAAAwBRX22Bw0sHhIUZScnFWu+p+SV6irVpTStfoFYfxNu/Fdh8NvEN94DtzLrkOh3cmixLGHL3YhcwrtPDZcKMHg1uUV0yXNFoVKap1YzaTs07PZ+T8j+fj/g368YfHrUP+CrwvpZtVu5td0rW3+JdxdwF5GjKtM0lwWGUY3y2wLcHe23+I1/QPXx7+xz8E/hN8Pf2udf+JPgnwDYabr3ixfFUviPVbdW86/ddZhILliQOWJwuASckcCvsKvmuE6Lo5ZKLk378t/J2/S/qz9M8W+McHxxxTDMMNh/YxVGnC2l20m23bTTm5Y/3Yx22XM/Gm+8b6X8HPFmp/DO2ebxJb+Gb+Xw/DHCJGe+W3cwKFbhiZAgweD0r+dv/AIJG/Gf4neGf23L6XxB8ddZ8JWfiSy1CXx5qr67HZPdSqskqGeS44Mn2lh/t5dh0LV/SVXlPwI+EP7HPgb4leP8AxD+zz4e8GweKtX1hZPiM/h+7imuhel5XC3SK7GBy7TNsIXJLHGc1eeZNWzTEUZ063s+W/rqt1qtdNddjTgfjrB8McJZzllbB+2eLhGKlZWhZte+3fRc3NC320u918LfHDRvghq+iXHx1+G3jiz8afFe08T6H/wAIl4q/tm21fVxqyXSJY2UTAkLG4MwaBQFZGmkYEqXX9P6+Ofjz8DvhDr37d2nfGvWfh9p1z4r0LWPCtro+uSoxmtIXvBuVBnaM+Y/OM/McGvsaubhjCzwlXFQlNzana762W/XV319D5jiLNaeOy7BUYuTcIybcunNypU46v3IKF4/DrKVordlc98VbfSrj4faoustthW2LKwUEq4+4QD33Yroa8T/bA+KjeGPCdxo+jWEt9d2kQnNlEObmdsLb24OCcvIyjpxkGvWzzFU8JldSUlfmXKl3ctEv66HzuBpSrYqKWlndvsked/so+IfC3jT9rjXbfUYXN14X8NNa+HXkijMUszyxNqTxtvLb4w9hEfkXbvcZO4gfWFfJ158Dtb/Zxvfh9qmhXS3Wq6DdJf6ndO6D+0ZLjcurLvMQA80zSSqAF+dYslQMj6wjkSVFljYMrAFWByCK8/hd+wwcsFNWqUnZrvfVP5/odOaLnrKvF3jNafLdC0UUV9MeWfnj/wAHLniP4saH/wAE/bOw8AS3seian41s7bxo9nHlTZeXK8SysOVjNykA9C2xT1wa/wDwbK6v8TNQ/YE1TT/GMNwNDsfHV5H4ReeAKrWzRxPOI2xl1Fy03POGLDPGB9eftyeDvC/xC/Zj17wP420WHUtI1W+0q21GwuM7J4X1O1DIdpBwR6EGs79gfwJ4O+GHwJl+H3w+8OW2kaLpPiXUINO02zUiOCPzc4GSSeSSSSSSSSSTXy7oNcXKfM9aV7fO1vTr6n6ouNMH/wAQhfDX1Ze0+s+09ppta9+/P9i+3Jpfoe11yPx48I/Bfx38INf8KftE2Wi3Hgm7sSPEUfiG4WKyECsH3SyOyhArKrBsjaVBBBArrq/OP/g5t8SfFjRf2FtE0vwPLex+HtU8a28HjJ7RMo0CxSSQJMw5WMzoh9C6oDzgH2szxUcHl9StKPMop6d/Xy7+R8rwPkdXiTi7BZbSrexlVqRSns421vHb3tPd1XvW1R95/Bzwd8H/AAf8KvD/AIZ+B2laND4Ps9KhTw4miOktobTbmNonUkSKwO7fk7s7sknNdQqqoCqoAHQAV+Lf/BGr486xD+yK3h74n/tf6r4XtdG8SXFp4X0dvGtpYrFY7I5DtjlBcr58k2CeOoHAr9Wv2afFmseM/Dl3r1xrp1TTrlo5dO1ETiVJw6klo3HyshG0grxzxXh5VxPhcxxFPDQpSi2vLlVlfTy6LRdDr414WxPDXEGNwlWuqrpVJLnu7y13d/ta+8ruzvq9z0uvDv8AgpX4j+LHhH9gn4reJPge96niez8HXT6dLpse64iXAE0kY6h1hMjAjkFcjkCvcaSSNJUaKVAysCGVhkEehr6WvTdajKmna6av2utz5nK8ZHLszoYuVNTVOcZOL2lyyT5X5O1n5H88H/BC/wCKuueCfil428N6j8e73wP4YvfD8V1eSW3iC209bq/jnVIAXmBLERyXPyr9T0Fff2l+GPgtpfx7+F3xd+BGuWPiD4h6x8XbaK68VWWoQapqWrWs0fl6ulxOCS0MengsQMLCI4doXd832b+yn8JP2Pfhf4N1fTf2PdA8HW2h3OvzS6z/AMIjeRXMP9ohEWRJHR3CuqhB5eRtBGFGa8P8IfBD4RaV/wAFFbj46ad8PtOi8Yah42vLC88QKjefJbLoLgR8naowiDIAJ2jJr86nkGIy/wCqOWIck6kUkr8qu27rX9FufsnFPiHguI+M8fmtPDzoRlSa5LLmqNQUeWtqlyveXxaJRtrzL7Fooor9KPww/mn/AGffi58f9K/4K1/8Jt8UPiLqvhjxbqHj6+tPG+r3F3FZT2kLO6XUbPKNkKrGpQDooVQvRa/SL4+2P7MfxC8A+Kvir4j+NFv408U+HfC0j6D4kufFNvqWp6DNG/m2j2Pln9xMbzydhVd8sgjjJYEJXuHw8+B/wj0n/goLdfG/T/h/p8Xi7WPGmq2Wpa9sYzz266XKFjOSVAxGn3QCdozmmf8ABRH4G/CD4lfFzS/F/j34e6dqup+FPBz3nh27u42JsJzdE+YgBCk5RCNwOCoIxX5LVymusur1vby5Y1XHl1s3zJc2++t9um5/QHE3iRlvEnFWX42jhnhlSoQi/Z25m4pycFqlyX9xXekdXF/AfVPwlvPGOo/CrwzqHxFtmh8QT+H7KTXYWjCGO8aBDMpUcKRIWGBwK6Ciiv1mK5YpH4HWqKrVlNJK7bstlfovJH8+P/Bf34k/tAaB/wAFV7rVbrXNW04eFrDR7j4aXMeYvs0Iijm8+3I6n7b9oy/XdHtPCAD9FPhn8UvB/jOLw1B4l/atl8V661rBKNBv/G9ndj7e1viQpBFgl13SgAZwCeK+v/iR+zF8APjB8R/C3xd+Jvwo0jWvEvgqczeFtYvYC02nyFlfchBwcMqsNwO1hkYPNdutrao29LaMEdCEFfF4jhTF4jE15/WnGNRt2V3dPo9UtNlvofq3FHiPl2fcNZPltLBKE8FTcJS095+6rxsr2fLzyvrzyfa75v4LeEj4H+FujeGWMu6C2LsJ8bw0jtIQcAYwXIx7V1FFFfYUKSoUY019lJfcrH5POTnNy7hXi2r/AA/bWP2m4dSbTZLfydTi1WSaFTicx2nkKzE5HQKnGPuD3r2miuTMMAsf7K8rck4z9bdDbD4h4fmsr8ya+8KKKK9A5wooooA8X+C/w/Nh8bNU8RtpklmNOh1CEQxqRFvu7qKZzluSSY9wwejk9xXtFFFeflmAWW4b2Klzat3fm7nRisQ8TV52raJfccz8ab7xvpfwc8Wan8M7Z5vElv4Zv5fD8McIkZ75bdzAoVuGJkCDB4PSv52/+CRvxn+J3hn9ty+l8QfHXWfCVn4kstQl8eaq+ux2T3UqrJKhnkuODJ9pYf7eXYdC1f0lVwXwt/Zc/Z6+CfjLxT8QvhT8JNG0LWvG18LzxTqNjbYk1GffI+98kgfNLI2FwCXJxmvNzvJcRmtejOlWdPkvte+vVWa16b7H6RwTx9l/CvCub5VXwiqyxkIxjLS0Wrp819bK/NG200u918+fASPwb8WfGto3hb4uyeNJ7fXbG91TVl1+DUZ4xbSrNFHI8Xyon7sgAgE7mwcnj7ApscMMOfKiVc9dq4p1dWTZVLKqU4yquo5O7b9Eu7/M/O8Zi1i5xajypK1grmL34XaTe/ESH4hSXb+ZEg3W2wbWkC7VfPXgdvUD6Hp6K9DEYXD4pRVWN+VqS8mtmc9OrUpNuDtdW+TOa+I3w0074jQWkV7fyW7WkxYPGgYsjY3Lz0zgc9vQ10UEMVtAlvCu1I0Coo7ADAp9FOGFw9KvOtGNpTtd97bBKrUlTUG9Ft8wooorczOR+O2kjW/hdqVi2mi6UNBMYiCcGKZJA4x3VkDf8Bql+zr4TPhP4cgOJg2pajc37LMMFTK+cDgcYAIz613dFef9QTzT67za8nJb53udH1h/VfYW63v8rBXP/FT4V/Dv43fD7VPhV8WfCNnr3h3WrcQ6ppN+haK4QMGAOCCCGVWBBBBUEEEV0FFd8oxnFxkrpmdGtVw9WNWlJxlFppp2aa1TTWqaeqa2MH4dfC/4e/CXwNpXw0+G3hCx0fQdEsktNK0yzhAjt4VHCjOSfUkkkkkkkkmt1VVQFVQAOgApaKIxjFJJWSFVq1K9SVSpJylJttt3bb1bbe7fVhXh/wDwUr8R/Fjwj+wT8VvEnwPkvU8T2fg66k06bTY91xEuAJpIx1DrCZGBHIK5HIFe4UkkaSo0UqBlYEMrDII9DWdem61GVNO101ftdbnZleMjl2Z0MXKmpqnOMnF7S5ZJ8r8naz8j+eT/AIIZfGDxP4M+JHjPwZqn7Quo+CPCNxoiX1wkHiO30+KfUVmjjiOZgct5TTZC9Qo3fdWv14/ZWsPCnj/x1pfi3wj8QD4oh0nUbm9vddi1aK+NxctayW5E00eVLBJl+UYICr2Bz7R8Cf2YP2ff2ZPD1/4U+Afwm0fwtp2qam+oX9rplvtWa5ZVUudxJ+6qgAcADgCu6jijiG2KNVHooxXx+A4UxOGnRlVxLahJS5bPlunfS7/TufoHiRx7geNOJ8TmeEwvso1VGKvbmdoqN5W0u7d9kuw6iiivtT8wPyquPjfq2gfCH4X6x4o+Ol/4c8e6r8WpIfGd3LqVtaXsF4Z7sazBN5uRbxwxu6jAGxRbgffXd7z4Am8CfGrWrrwtoHx6m8c6lqFslrcTN4ot9RubO2L4O0RDEaZYklhjPevp/wAPfsu/s9+FPjhrX7Sfh34SaNaeOvEVktprXiaK3/0m7hAjG1jnAz5MWSAC2xck4ruo7eCI7ooUU+qqBXwtPg/FWcamKfK5Xsk7PW93ru/R69z7fPOJcrxtdVMFh+W/M22opqU224x5b+5D4Y7Nq7tG/Kn0UUV90fEBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAV4/+2b+3V+zl+wR8PtP+JP7R3ii+sbHVtUNhplrpGjXGoXdzKsMk8rJBbo0hSKCGWaR8bUSNmJFewV8D/8ABbjw58S9A8RfBv8AaP8AB/wW8V+PdI8Hr410bXND8F6JJqV8k2t+GbvT7Kb7PHljF9pKRO/SNZ9x4BoA+6fCvijw9448L6b418I6xBqOk6xYQ3ul6havuiubeVBJHKh7qyMrA+hq/XkX/BP/AOE3jP4DfsLfBz4J/EWPZr/hP4YaFpOtxbw3lXdvYQxSx5HBCurLnvtr12gArmfjN8XvA3wC+FWv/Gf4l39xbaD4b02S+1Oa0sZbmURIMkRxRKzyOTgKqgkkgCumrkPj98QNK+FfwT8U/EPW9E1rUrXSdEuJ57Dw5o02o304CEbYLaBWkmc54RQSaAIv2dvj58Of2pPgd4X/AGh/hFfXVz4Z8X6RFqWiT3tm9vK8En3S8b/Mh46Hmu0r5F/4IU69qV7/AMEtfhR4N8QfD7xb4Y1jwf4fj0HXNJ8ZeF7rSbpLuBVZykVyiNJF+8G2UDaxDAHIOPrqgApJJEijaWRgFUEsT2FLSSOI42kYEhQSQBkmgDxL9kr/AIKFfsx/tr+I/Fvg74GeItYfVvBUtt/bel+IPDd5pdx9nuQ5tryKO6jRpraYRyGOZQVbacds+3V8Bf8ABIf4s6h+09+1B8e/2sPiv8IPiN4O8c+Kryx0vTNB8Y/D3UNItNI8K6dLcw6bbxXNzEkd3czNJcXc/lkhDcIg4TJ+/aACiiigDxG6/wCChX7NGn/tj2X7C2pazrtr471OKY6W114XvI9Lvp4bVbyW0hv2jFvLcJbssrRK5ZVPODxXt1fnt8Z9O8U/E3/guj8HfFPwu+D/AMXI73wDb61ZfEPWvEulXH/CGR6FNpDmC702WQtbi9ku5YYS8G2YrHIkg2qK/QmgAooooA8s/aw/bL+AX7FXhPw74y/aA8VS6ZaeK/GNh4X0FLaze4lu9SvHKwxKiAnHyszN0VVJNep1+X3/AAcH/BL9tj4k+JvAXxA+Bf7Ly/E3wp4Tl0ZrOG08TC1utK1yTxPpcr3H2VYJZLhWtrRLczDattFc3MrblVlr9O9OmvbjT4J9Rs1t7h4Vae3WXeInIBZQ2BuwcjOBnFAE1FFFAHmn7WH7V3wr/Y0+FA+MXxetteuNNk1qy0m1svDGgT6pf3d5dzCGCGG2t1aSV3dgoCgnmup+EnxL0f4yfDTRPin4f0TW9Nstd09Lu2sPEmjTadfwIw4Se2nVZIHHdHAIrwr/AIKw+EPhD4y/ZQ+yfHHwd8XdY8P2PivTNRkPwPtbiXxDY3FvKZbe6hFt+/VUmWPLw/OpKnhQxGp/wSmX9pNP+Cd/wnX9rxtZPxC/4Rhf7ePiRs6lt86T7N9rPX7T9m8jzc8+ZvzzmgD6DooooArazrGleHtIu/EGu6hDaWNjbSXF5d3EgWOGJFLO7MeAoUEk9gK8u/ZB/bY+A/7cngS++JP7P9/rdzpFlfi3W51vw1d6b9rRo1kiurcXMaGe2lRg0cyZRxnB4Iq7+2t8NfF/xn/Y3+LPwf8Ah8R/b3ir4aa7pGiZfaDd3OnzwwjJ6fO6818f/wDBvR4a/aH8I/Bbxv4e+Jum/Fmx8F2Nx4etPBWnfGVZ11S1votDtY9bjgW4/eJYLqCusCj90FVvL+TFAH6G0UUUAFfPnwj/AOCl37PPxk/ay1T9izRPDXxB0jxxpljqN95Xin4fahplne2tlcpbT3Ftc3Eax3EXmSIFkjJVwwIJyK+g6+UP2c/A/jP4jf8ABVD4+ftN+NPCeqWGk+E/C/h/4b/D+61LT5YEvYFR9W1S5tzIoEsTXN3bw+YmVLWZGcqaAPq+iiigArwL41f8FMP2SP2fv2ofDP7IPxL8Z6nbeMfFD6elqtr4furixsnv55LewS7u40MVq1zNFJHEJGBdlIFe+1+UH/BSP4N/HHxV/wAFmvh/438O/Anx1q80eofDtvAOs6BoUk3hmW1tNav5tffXZVHlebbWssctoZzujd90PzE0Afq/RRRQB//Z", 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", "info": {"equation": "5+13*7=96", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "4392a4e8b2a25602a6fdb8ecf48c492fc5053e33cf746badbfe23caf2db61430"} +{"episode": 30688, "episode_seed": 961038898, "split": "train", "timestamp": "2025-10-28T03:46:28.011280", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 961038898, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [5, 1, 1, 4])", "action": "('move', [5, 1, 1, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "16+5*6=46", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "16+5*6=46", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "1a28d5faa1564260910f47ee526a5f918d756d43b847f188a03f99c964ddf58d"} +{"episode": 30689, "episode_seed": 111037924, "split": "train", "timestamp": "2025-10-28T03:46:28.083485", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 111037924, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [8, 0, 2, 7])", "action": "('move', [8, 0, 2, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "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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wa7T9kbQ9F0j9mnwZpOl6TbW9raaJHBa28MIVIo0JVEUDoAoAA9BXyWNynEY/iKtGnXlTvCL0vttbdaaX+Z+k4rjzAVfCzAcP/U17ShWnJ1NNU+Zq2jfM+e0r9IR3+zF+zB4XGlaBq/igNJ/xPNQjmXdjYVjgjiDJxyDt68+1en0AADAFFfX5fg1gMFTw6d+VWv3PyjEVniK8qlrXPjr/AILzeJPix4Y/4Jk+PLv4Sy3sUlw9na+IJtPjzImlSzqlzkjlUZSEcj+B2zwSa/Mr/giV42+IWq+Afiv4G1jxLdzeGdF8HXlxomnyzgxWVzOB9peMdU3iKAn+HKZ67s/vZ4o8MeHvGvhrUPB3i3R7fUdK1ayls9SsLuMPFcwSoUkjdT1VlYgj0NfJ37QPwK+EP7OPhLTvhR8DvANh4b8PWXgLxJLbaXpyEIryS2ru5LEszFj1JJ6DoAK+R4tyurUTxyqWjGKTj395fhrf1S+X6vw3x3gcH4d4jhWWFTq1qyqKrpokot+fMuTlVtOWctVa0vVP2QvHepeO9JGp2Xjp/EujnS4li1j+0FukmlTCZEqfIzHa27HccjOa9rqvpKJHpdusaBR5CcAY7CrFfVZXgp5fg1RnUc3du731d+7/ADPyrFV44is5qPKuyOZ+NN9430v4OeLNT+Gds83iS38M38vh+GOESM98tu5gUK3DEyBBg8HpX86//BJD4t/EPw7+3Pdap4j+NWqeFI/EGnakfG+uSazFZTTthpgJZrgHDtdCMkfeJz2zX9J1cF8Lf2XP2evgn4y8U/EL4U/CTRtC1rxtfC88U6jY22JNRn3yPvfJIHzSyNhcAlycZrzc7yWvmtejOnWdPkvte+vVWtr032P0ngnj/L+FeFc3yqvhFVljIRjGWlotXT5r62XNzRttNLvdfn78cNG+CGr6JcfHX4beOLPxp8V7TxPof/CJeKv7ZttX1casl0iWNlEwJCxuDMGgUBWRppGBKl1/T+vjn48/A74Q69+3dp3xr1n4fadc+K9C1jwra6PrkqMZrSF7wblQZ2jPmPzjPzHBr7Grl4Yws8JVxUJTc2p2u+tlv11d9fQ+b4izWnjsuwVGLk3CMm3LpzcqVOOr9yChePw6ylaK3ZX84H7dvxQ/aJ0f/gtP4n8X+IPE+qaR4m0f4nJaeHb6UpA9jpayiOzaIv8AIkZtHRwx4IkLnlia/o/ryrX/AIS/se6h+1fo/wAT/Emg+Dn+MdtoDx6LPc3kQ1c6f+9RnjgL7nQBpk8zYcAsu7AxXfn2V1M1oU4QqcnLJO/+Xmuh9J4W8cYTgfG46tXwf1hVsPOmlZOzdn71/wDl27Wn5WetrHyB4+0v9kb48NJH8a/jjpPxJtdJ0u+aG18VeNLTUItNtnjAubmONCojYRqMzkbowCVZckn60/4J/wCqeOdZ/Yr+GepfEdr1tWk8JWvmSalaiG4khC4t5JUAAV2gETMMDknIB4rzz/go/wDAv4P/ABvk8F+Hvi38PNO1+xsV1W+tLS+jbYlwkUAV8KRuwGYYOQc8g1778Ff+SOeEuB/yLNh0H/TvHXlZDgauCzrEwqVXNqMNX1vr3e1rLU+ezPN6WI4YoYVczfO5WduWmo8ytT1fxuXNPSKvGPxbrpq8r/aj+FH7H/xRsvC8X7XOieD7uCx8RxP4T/4S29igU6kwOyOEyOvmu4H+q+YPtGVOBj1Svw2/4OjPFHxdH7VngHwzqd1fxeDbXwZ9s8OKFKwNqLXMq3bqw+9IqJaA91BXGN3Pt55j4Zdl0q0oc6ulZ7avr/W9j1fCvhTEcZ8Z0cuo4p4aTjOXtI35lyxekbNXb2eq93mfSx+4v2S1DbhbR5z12CpK/N79jv8AaWvtc+Cfw+8S/E79tfULvxdqHh+0bVtG1Hx3ZHzbqWPb5bwAB9x3D5c7t2O9ff8A8J7vXL3wDp9z4haRrlkb55s72TcdpbPOduPrXLlXEWGzfEujSpyVle7t3Sto33PlM3yWtk9epSqTjLkm4Xi7p2bV15O2h0VFFFfQninj3/BQTxB8VvCn7EfxS8SfA97xPFdl4KvpdGk06PfcRyCI5eIdd6puZccggEZOK/J3/g1m1v4np+078SND0xLp/CNz4LiuNekEAaJdQS7QWe5zyrmOS9wP4gGJ+7X7fX7FbGZlPIiYj8jXyP8A8EwPgl8Jfgnf6zafCfwDYaDHrfg7Q9Q1YWKtm6uma6BkcsSSfboMnAGTXzGaUJS4hwU+Zr49PRX/ABvZ+R+p8Mca4PJ/DjOMiqYZTniXTcZ6aWa+Lr7tuaFtpNvTr9e0UUV9OflgV/O3+xx46/al1P8A4LxaR4j19NWl8c3nxWu7XxbFcWgMsdhvkivEZDwkUdoHAxwiIu3oK/okr488JfBP4S6b/wAFF7j472PgHT4/GOo+NrywvfEIRjcS2y6C4EfJ2gYRBkAE7Rk18xxHQdWtg5KTX72K08+vyt+J+p+G/GuD4TwGcUK+GVV4rDyhFu3uvVWd/sPmvJLVuMdOq+w6KKK+nPywK/n7/wCDiDxd8dH/AOCn4sNRm1RLLRdF0l/hxGsB2hGjSR5IAB+8Y3omUtgktGF6Kor+gSvjj/gop8E/hN8T/i7pfjH4g+ArDV9T8KeDXu/Dl5eKzNYTm6J8xACFJyiH5gcFQRXzPFtF1cnbUrWlF+utv1v8j9Q8I+McHwRxY8wxOH9tGVKpC2l02k01fTXl5X/dlLfZ/VHwqvPF+ofC/wAN6h8Qbdodfn0Czk1yJ4whS8aBDMpUcKRIWGBwK36KK+liuWKR+Z1ZqrVlNJK7bstlfovJH55ftj/E+fwx4/8A2lr/AOJPxBu9GvNG8N2Q8Iee8UbW2mHSg1rPZo/EpfU5LxN2DulRY+cBa0vhf8U/CXjS28MweKf2rJfFevtaQS/2Df8Ajezux9va3xIUgiwS67pQAM4BPFfX/wASf2Yf2f8A4wfEfwt8Xvid8J9I1rxL4KnM3hbWL2AtNp8hZX3IQcHDKrLuB2sMjB5ruFtbVG3pbRgjoQgr4vEcKYvEYqvU+tOMajbsk3dPo9Vtst9D7HHcR5VVwOHhQw/7yMY87aiknGEYLkau2pcrnJtJ80rWduaXN/BbwkfA/wALdG8MsZd0FsXYT43hpHaQg4AxguRj2rqKKK+woUlQoxpr7KS+5WPjJyc5uXc+V/22PFGs6X+1N8LNG8Q65PY+FpfD+vXNksjrHaXOuJ9lWNJHJGZFs5L5kTuPNYA7CV+ef2X/ANpDw3N4Kl1fV/23r20t7TxjrCaDp1x43sLaE6ZFqMy2i+TjPlGJVAycsmDnnNffnx1/Z8+C/wC014Bk+F3x6+Hen+J9AkuorltN1JGKCaMkpIpUhlYZIyCOGI6Eg9Jo3hrw94d0e08P6DolrZ2NhbR21laW8CpHBCihUjVQMKqqAAB0Ar5fHcOYvF5nUxNPEumpJbXvorW3WnX1Z9d/b+VLh+jhfq960dG2o8tk5yTT1blLnSkmlZQWsua0OY+Auq69rHgb7brlzLOGun+yTzMWaSLAOcnqM5wa7WgAAYAor6PA4aWDwkKMpOTirXfU+Ur1FWrSmla/QK8a/aq8Cv42utN04aW7G+0670xbyBSZEW42B0HUD7isMj+E9ga9lorHNMAszwUsO5cqdtfRp/oXhcQ8LXVRK9r/AJDLaEW9vHbqSQiBQT7DFPoor0DnCiiigDxb4jfD4+I/2g9OlGmSRCS8029kuoFP70WcqzKWJyMBl2nGOGHcg17TRRXn4HALBVK01K/tJOXpdLQ6K+IdeMFa3KrBX84v7cfxd/aV8M/8FqvFPjTU/GWsaF4o0n4kiw8P6h5q20lnpBkENr5Zb5EiazkU7j8rLKzN95q/o6rg9W/Zg/Z+13476f8AtO6x8JtHuPH2l6abCw8USW+bmG3IkUoDnGdssi7iNwViM44rjz3Ka2bUacKdTkcZJ3/rquh+jeGPHmA4DxmNrYrCquq9CdJLTRuzSd/sStaaWtraO1j5Y8LeMfh78QfFI0fRv2lJfHWqPazQ6fYXHjC21GWFHwJGiihAbJAXJweAK+0PBegp4V8HaT4Xjd2XTdMgtVaQgsRHGqZOOM8dq0EtreNt0duin1VAKfU5PktTK6tSpUrOpKdtX5X83fc+AxmNjioRjGCio328/kgrhPjj+zH8Af2lrfRbT48/CnSPFMfh3VF1HRU1WAuLW5AxvXBGQRjKnKtgZBwK7uivbnCFSLjNJrs9TnwuKxWCrqvh6jhNbSi3Frpo1ZrTQj+yWobcLaPOeuwVJRRVmAUUUUARXqyPZypDGruYmCIx4Y44B9q8g/Za8AJ4c1PV9cjsJrRF0+00qG1ZSEjS3aZgoyM5Hm7Tz2HevZKK8/EYBYjH0cS5W9nzad+ZW/A6KeIdPDzpW+K2vo7hRRRXoHOFeL6X8PzdftOnWzpklsLDU5tUZoVOyZns3tQzE5zlZO2OU9iK9oorz8dgFjp0ZOVvZzU/W19DooYh0FNJX5k194UUUV6BzhXi37THw8Hjnxdp2mDTJAdV046e17bqfM2GQllycqNoO4ZHck8CvaaK8/M8AsywjoOXKrp39GmdGFxDw1X2iV9/xQUUUV6BzhRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAV4/8Atm/t1fs5fsEfD7T/AIk/tHeKL6xsdW1Q2GmWukaNcahd3MqwyTyskFujSFIoIZZpHxtRI2YkV7BXwP8A8FuPDnxL0DxF8G/2j/B/wW8V+PdI8Hr410bXND8F6JJqV8k2t+GbvT7Kb7PHljF9pKRO/SNZ9x4BoA+6fCvijw9448L6b418I6xBqOk6xYQ3ul6havuiubeVBJHKh7qyMrA+hq/XkX/BP/4TeM/gN+wt8HPgn8RY9mv+E/hhoWk63FvDeVd29hDFLHkcEK6sue+2vXaACuZ+M3xe8DfAL4Va/wDGf4l39xbaD4b02S+1Oa0sZbmURIMkRxRKzyOTgKqgkkgCumrkPj98QNK+FfwT8U/EPW9E1rUrXSdEuJ57Dw5o02o304CEbYLaBWkmc54RQSaAIv2dvj58Of2pPgd4X/aH+EV9dXPhnxfpEWpaJPe2b28rwSfdLxv8yHjoea7SvkX/AIIU69qV7/wS1+FHg3xB8PvFvhjWPB/h+PQdc0nxl4XutJuku4FVnKRXKI0kX7wbZQNrEMAcg4+uqACkkkSKNpZGAVQSxPYUtJI4jjaRgSFBJAGSaAPEv2Sv+ChX7Mf7a/iPxb4O+BniLWH1bwVLbf23pfiDw3eaXcfZ7kOba8ijuo0aa2mEchjmUFW2nHbPt1fAX/BIf4s6h+09+1B8e/2sPiv8IPiN4O8c+Kryx0vTNB8Y/D3UNItNI8K6dLcw6bbxXNzEkd3czNJcXc/lkhDcIg4TJ+/aACiiigDxG6/4KFfs0af+2PZfsLalrOu2vjvU4pjpbXXhe8j0u+nhtVvJbSG/aMW8twluyytErllU84PFe3V+e3xn07xT8Tf+C6Pwd8U/C74P/FyO98A2+tWXxD1rxLpVx/whkehTaQ5gu9NlkLW4vZLuWGEvBtmKxyJINqiv0JoAKKKKAPLP2sP2y/gF+xV4T8O+Mv2gPFUumWnivxjYeF9BS2s3uJbvUrxysMSogJx8rMzdFVSTXqdfl9/wcH/BL9tj4k+JvAXxA+Bf7Ly/E3wp4Tl0ZrOG08TC1utK1yTxPpcr3H2VYJZLhWtrRLczDattFc3MrblVlr9O9OmvbjT4J9Rs1t7h4Vae3WXeInIBZQ2BuwcjOBnFAE1FFFAHmn7WH7V3wr/Y0+FA+MXxetteuNNk1qy0m1svDGgT6pf3d5dzCGCGG2t1aSV3dgoCgnmup+EnxL0f4yfDTRPin4f0TW9Nstd09Lu2sPEmjTadfwIw4Se2nVZIHHdHAIrwr/grD4Q+EPjL9lD7J8cfB3xd1jw/Y+K9M1GQ/A+1uJfENjcW8plt7qEW379VSZY8vD86kqeFDEan/BKZf2k0/wCCd/wnX9rxtZPxC/4Rhf7ePiRs6lt86T7N9rPX7T9m8jzc8+ZvzzmgD6DooooArazrGleHtIu/EGu6hDaWNjbSXF5d3EgWOGJFLO7MeAoUEk9gK8u/ZB/bY+A/7cngS++JP7P9/rdzpFlfi3W51vw1d6b9rRo1kiurcXMaGe2lRg0cyZRxnB4Iq7+2t8NfF/xn/Y3+LPwf+HxH9veKvhprukaJl9oN3c6fPDCMnp87rzXx/wD8G9Hhr9ofwj8FvG/h74m6b8WbHwXY3Hh608Fad8ZVnXVLW+i0O1j1uOBbj94lguoK6wKP3QVW8v5MUAfobRRRQAV8+fCP/gpd+zz8ZP2stU/Ys0Tw18QdI8caZY6jfeV4p+H2oaZZ3trZXKW09xbXNxGsdxF5kiBZIyVcMCCcivoOvlD9nPwP4z+I3/BVD4+ftN+NPCeqWGk+E/C/h/4b/D+61LT5YEvYFR9W1S5tzIoEsTXN3bw+YmVLWZGcqaAPq+iiigArwL41f8FMP2SP2fv2ofDP7IPxL8Z6nbeMfFD6elqtr4furixsnv55LewS7u40MVq1zNFJHEJGBdlIFe+1+UH/AAUj+Dfxx8Vf8Fmvh/438O/Anx1q80eofDtvAOs6BoUk3hmW1tNav5tffXZVHlebbWssctoZzujd90PzE0Afq/RRRQB//9k=", "info": {"equation": "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": "53441efde3bd893f4968ade94031c88c40373d15b2143cd7ba483e2205686c01"} +{"episode": 30690, "episode_seed": 1211799152, "split": "train", "timestamp": "2025-10-28T03:46:28.136557", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1211799152, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 5, 6])", "action": "('move', [1, 1, 5, 6])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "16/2=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": "16/2=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "dac651db31a0b6a560d41ff4a81a2e04ed486728662665e65698757589a6e6e5"} +{"episode": 30691, "episode_seed": 3206100485, "split": "train", "timestamp": "2025-10-28T03:46:28.211236", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3206100485, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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": "45+83=128", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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DBJClrduuShVuGUHg9q+Azfh3FU4YrF/WGou8uVX1W9nqlpstHofsuaeI+XZ9lWRZZTwzoSwcPZzqwtza8q5oK8Xqo8zTlG85NXtq6f8AwS4eaP8AZLtdK01pH8M6b4o1qy8CSvGoV9Civ5ks/LK/6yERjbG/O+NUbLAhj9E15n+xzo2k+HP2aPCfh7QNOhs7CwspLaytLdAscEMc8iJGoHRVUAAegr0yvsssi4ZdRi3e0Y6/JH5XnmMhmGc4jExjyqc5O3q3v59/M/I3/g6p8R/Fi18H/Cfwtp8t6ngi8v8AUZ9VEUf+jy6nGkQthIw/iET3BVT1BcjOOKf/AATy+KPhvx3+wB4W8DftD/tZXdpazaXc6Vc+E7zx3aWMDaSkrww2zxArIsTQKFILBmQ9ea/Tb9qz4d/sufE34PXXh39sKw8MT+CkvIJ7lvFt+lraRXCviJ/Od0Eb7m2ghgTuK8hiCvx58K+DoP2UvGXhjR9DsU0ZPh9qFpa2dtEogFqLGRFjQLwE2YAA4x0r5vM+H8TiswrYmGJcE4rRXvorWeq00/PQ/SZ+IOEn4b5dw8sHy1KFaU/baa6t+69+f31zaqyjDXX3fCf+CdGkaD4J+PXxW+HXwf063sfAdnp2h3cml6Tbxpp1jr0ouhdJDs+VJGtY9PeSMYALIxAL5P17Xzp/wTv+EHww+Bnh3xl8PfhD4JsvD+iw6/bzx6fYK2zzZLKEu5LEszHA5JPAA6ACvouvV4ai4ZHQTd9L/e3p8j4PivHUswz2rWp3atGN5fFLlhGPNKzdpStdq8rXtzS3fx1/wXm8SfFjwx/wTJ8eXfwllvYpLh7O18QTafHmRNKlnVLnJHKoykI5H8Dtngk1+ZX/AARK8bfELVfAPxX8Dax4lu5vDOi+Dry40TT5ZwYrK5nA+0vGOqbxFAT/AA5TPXdn97PFHhjw9418Nah4O8W6Pb6jpWrWUtnqVhdxh4rmCVCkkbqeqsrEEehr5O/aB+BXwh/Zx8Jad8KPgd4BsPDfh6y8BeJJbbS9OQhFeSW1d3JYlmYsepJPQdABXhcW5XVqJ45VLRjFJx7+8vw1v6pfL7vhvjvA4Pw7xHCssKnVrVlUVXTRJRb8+ZcnKracs5aq1peqfsheO9S8d6SNTsvHT+JdHOlxLFrH9oLdJNKmEyJU+RmO1t2O45Gc17XVfSUSPS7dY0CjyE4Ax2FWK+qyvBTy/BqjOo5u7d3vq793+Z+VYqvHEVnNR5V2RzPxpvvG+l/BzxZqfwztnm8SW/hm/l8PwxwiRnvlt3MChW4YmQIMHg9K/nX/AOCSHxb+IXhz9ui61PxJ8atU8KR+INN1I+N9bk1mKymnbDTASzXAOGa6EZI+8ST2zX9J1fHX7D3wN+EPw7/aZ1zx14J+HmnabrPizTfEN14k1GGNjLfzDWLchnLE45djhcDLdK8DiXBVMXjsJGFRwbclddNL3Wq10sfp/AnHGB4a4RzrLK2FVWWKhFRk7aWbXvX6Lm5o22ml3uvBfjho3wQ1fRLj46/DbxxZ+NPivaeJ9D/4RLxV/bNtq+rjVkukSxsomBIWNwZg0CgKyNNIwJUuv6f18c/Hn4HfCHXv27tO+Nes/D7TrnxXoWseFbXR9clRjNaQveDcqDO0Z8x+cZ+Y4NfY1XwxhZ4SrioSm5tTtd9bLfrq76+h8rxFmtPHZdgqMXJuEZNuXTm5UqcdX7kFC8fh1lK0Vuyv5xf24/i7+0r4Z/4LVeKfGmp+MtY0LxRpPxJFh4f1DzVtpLPSDIIbXyy3yJE1nIp3H5WWVmb7zV/R1XlWv/CX9j3UP2r9H+J/iTQfBz/GO20B49FnubyIaudP/eozxwF9zoA0yeZsOAWXdgYrvz7K6ma0acIVORxknf8Ay810PpPC3jjCcD43HVq+D+sKth500rJ2bs/ev/y7drT8rPW1j5A8faX+yN8eGkj+Nfxx0n4k2uk6XfNDa+KvGlpqEWm2zxgXNzHGhURsI1GZyN0YBKsuST9af8E/9U8c6z+xX8M9S+I7XratJ4StfMk1K1ENxJCFxbySoAArtAImYYHJOQDxXnn/AAUf+Bfwf+N8ngvw98W/h5p2v2Niuq31paX0bbEuEigCvhSN2AzDByDnkGvffgr/AMkc8JcD/kWbDoP+neOvKyHA1cFnWJhUqubUYavrfXu9rWWp89meb0sRwxQwq5m+dys7ctNR5lanq/jcuaekVeMfi3XTV5X+1H8KP2P/AIo2XheL9rnRPB93BY+I4n8J/wDCW3sUCnUmB2RwmR1813A/1XzB9oypwMeqV+G3/B0Z4o+Lo/as8A+GdTur+Lwba+DPtnhxQpWBtRa5lW7dWH3pFRLQHuoK4xu59vPMfDLsulWlDnV0rPbV9f63ser4V8KYjjPjOjl1HFPDScZy9pG/MuWL0jZq7ez1Xu8z6WP3F+yWobcLaPOeuwVJX5vfsd/tLX2ufBP4feJfid+2vqF34u1Dw/aNq2jaj47sj5t1LHt8t4AA+47h8ud27Hevv/4T3euXvgHT7nxC0jXLI3zzZ3sm47S2ec7cfWuXKuIsNm+JdGlTkrK93bulbRvufKZvktbJ69SlUnGXJNwvF3Ts2rrydtDoqKKK+hPFPHv+CgniD4reFP2I/il4k+B73ieK7LwVfS6NJp0e+4jkERy8Q671Tcy45BAIycV+Tv8Awaza38T0/ad+JGh6Yl0/hG58FxXGvSCANEuoJdoLPc55VzHJe4H8QDE/dr9vr9itjMynkRMR+Rr5H/4JgfBL4S/BO/1m0+E/gGw0GPW/B2h6hqwsVbN1dM10DI5Ykk+3QZOAMmvmM0oSlxDgp8zXx6eiv+N7PyP1PhjjXB5P4cZxkVTDKc8S6bjPTSzXxdfdtzQttJt6dfr2vD/+ClfiP4seEf2Cvit4k+Bz3qeJ7PwddPp0umx7riJcATSRjqHWEyMCOQVyOQK9wqj4mLDw3qBXqLGXH/fBr6KvTdWhKCdrpq/a63PzvK8ZHLszoYuUFNU5xk4vaXLJPlfk7Wfkfz4/8EMvjB4m8GfEjxn4M1T9obUfBHhG40RL64SDxJb6fFPqKzRxxHMwOW8ozZC9Qo3fdWv14/ZWsPCnj/x1pfi3wj8QD4oh0nUbm9vddi1aK+NxctayW5E00eVLBJl+UYICr2Bzmf8ABMX4F/B74JDX9F+E3w703QrXU/C3h+/1CKyjY/aLl/toaRi5JJwAMZwOwFfWscUcQ2xRqo9FGK+C4fyGticNh8XLES5YvmUOl4t7a2/Dqfo3ihxvg+LOLcVj8NhvZxqKMdbcztBK8raNv12S7DqKKK/Qj8qP5p/2ffi58f8ASv8AgrX/AMJt8UPiLqvhjxbqHj6+tPG+r3F3FZT2kLO6XUbPKNkKrGpQDooVQvRa/R79ojRv2V/ij8N/F/xH8ZfF6y8d+ItD8JS/2Rr1/wCJbbVdQ0V0YyWpslQ4hla78rbtXdLJsjO4EIfdPh58D/hHpP8AwUFuvjfp/wAP9Pi8Xax401Wy1LXtjGee3XS5QsZySoGI0+6ATtGc0z/goj8DfhB8Svi5pfi/x78PdO1XU/Cng57zw7d3cbE2E5uifMQAhScohG4HBUEYr8lq5TXWXV63t5csarjy62b5kuZ676326bn9AcTeJGW8ScVZfjaOGeGVKhCL9nbmbinJwWqXJf3Fd6R1cX8B9U/CW88Y6j8KvDOofEW2aHxBP4fspNdhaMIY7xoEMylRwpEhYYHAroKKK/WYrlikfgdaoqtWU0krtuy2V+i8kFefftI6QNT8EWlwdMFwbHVY7hX2kmA7JE3jHs5XnjDGvQaK5cfhPr2CqYfm5eZNX7FYer7CtGpa9nc5f4LeEj4H+FujeGWMu6C2LsJ8bw0jtIQcAYwXIx7V1FFFbUKSoUY019lJfcrGc5Oc3Lufkb/wdUeI/ixa+DvhP4V0+W9TwRe3+oz6qIk/0eXU40iFsJGH8Qie4KqeuXIzjiT/AIJxfHdPFP7EPhDT/j5+2Nf21x9iuNPk8O6l46s7eM6ZHK8MEDwt8/lmBVXBIYr35Br9Pfjr+z78F/2mvAEnwu+PXw70/wAT6BLdRXLabqSMUE0ZJSRSpDKwyRkEcMR0JFdJo3hrw94e0e08P6FolraWNhbR29laW8CpHBEihURVAwFVQAAOgFfLY/hvF4zMqmJhiXTUklZXvorW3WnX5s/VMT4h5dX8NMDwysEva0Ks5uppZp8zVtG+Z81pX0tCO+0fPf2YPC40rQNX8UBpP+J5qEcy7sbCscEcQZOOQdvXn2r0+gAAYAor6LL8GsBgqeHTvyq1+5+X4is8RXlUta4V41+1V4Ffxtdabpw0t2N9p13pi3kCkyItxsDoOoH3FYZH8J7A17LRWeaYBZngpYdy5U7a+jT/AEKwuIeFrqole1/yGW0It7eO3UkhECgn2GKfRRXoHOcv8br/AMc6V8F/F+qfDC2ebxLbeF9Ql8OwxQiRpL5baQwKFbhiZAgweD0r83rP43+FvDdz8AbHwp+0zfaBFq/hq/fxBqa+ILW2ubqz+wo0kt1LNkxynUY4VYcEy+cpHyMF/UmuB+Fn7Lf7PPwS8ZeKfiF8KPhHo2ha142vvtninUbG2xJqM++R975JA+eWRsLgEuTjNfO53kuIzWvRnTrOnyX2vfXqtVr032Pq8izvLMuy3EUcTR55yu4aRs24yhabeqUebnhZP3lZpX5o/PvwEj8G/FnxraN4W+LsnjSe312xvdU1Zdfg1GeMW0qzRRyPF8qJ+7IAIBO5sHJ4+wKbHDDDnyolXPXauKdXVk2VSyqlOMqrqOTu2/RLu/zPAxmLWLnFqPKkrWCv5xf24/i7+0r4Z/4LVeKfGmp+MtY0LxRpPxJFh4f1DzVtpLPSDIIbXyy3yJE1nIp3H5WWVmb7zV/R1XB6t+zB+z9rvx30/wDad1j4TaPcePtL002Fh4okt83MNuRIpQHOM7ZZF3EbgrEZxxWee5TWzajThTqcjjJO/wDXVdD9C8MePMBwHjMbWxWFVdV6E6SWmjdmk7/Yla00tbW0drHyx4W8Y/D34g+KRo+jftKS+OtUe1mh0+wuPGFtqMsKPgSNFFCA2SAuTg8AV9oeC9BTwr4O0nwvG7sum6ZBaq0hBYiONUyccZ47VoJbW8bbo7dFPqqAU+pyfJamV1alSpWdSU7avyv5u+58BjMbHFQjGMFFRvt5/JBXCfHH9mP4A/tLW+i2nx5+FOkeKY/DuqLqOipqsBcWtyBjeuCMgjGVOVbAyDgV3dFe3OEKkXGaTXZ6nPhcVisFXVfD1HCa2lFuLXTRqzWmhH9ktQ24W0ec9dgqSiirMAooooAivVkezlSGNXcxMERjwxxwD7V5B+y14ATw5qer65HYTWiLp9ppUNqykJGlu0zBRkZyPN2nnsO9eyUV5+IwCxGPo4lyt7Pm078yt+B0U8Q6eHnSt8VtfR3CvHP+Cg2uePfDf7F3xE1v4a3mo22qweHnJu9Hh8y7trUugupoR/z0S2MzqRkgqCOQK9jpJI45Y2ilQMrAhlYZBB7GuuvTdahKmna6av2utzXLsVDAZhRxMoKapzjJxe0lFp2e+jtZ6M/NfWvjf4M8O/tQaT4R8I/tRv4V8OyfC0XN+ukeKrO1t5SLuL+zG82TcXLQS3jKoOCm1+hBP1R+yZ8R7rxxqkKeG/itL4x0m2t5YbvVG1iO+G8HcA8sXyeYC4GODtI9BXonwI/Ze/Z8/Zj8PX/hT4BfCXR/C2nanqT6hf2ul2+1ZrhlVS53En7qqAo+VQOAK7uOKOIbYo1UeijFfJZbwvjMHOlKeKdoO/Kr8vpv166dz3M7znK8VVcMFR9xRUVKSSnLq5SUbq93ZJSdkkruw6iiivsj5Y/Kq4+N+raB8IfhfrHij46X/hzx7qvxakh8Z3cupW1pewXhnuxrME3m5FvHDG7qMAbFFuB99d3vPgCbwJ8atauvC2gfHqbxzqWoWyWtxM3ii31G5s7Yvg7REMRpliSWGM96+n/D37Lv7PfhT44a1+0n4d+EmjWnjrxFZLaa14mit/8ASbuECMbWOcDPkxZIALbFyTiu6jt4IjuihRT6qoFfC0+D8VZxqYp8rleyTs9b3eu79Hr3Pt884lyvG11UwWH5b8zbaimpTbbjHlv7kPhjs2ru0b8qfRRRX3R8QFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXj/7Zv7dX7OX7BHw+0/4k/tHeKL6xsdW1Q2GmWukaNcahd3MqwyTyskFujSFIoIZZpHxtRI2YkV7BXwP/AMFuPDnxL0DxF8G/2j/B/wAFvFfj3SPB6+NdG1zQ/BeiSalfJNrfhm70+ym+zx5YxfaSkTv0jWfceAaAPunwr4o8PeOPC+m+NfCOsQajpOsWEN7peoWr7orm3lQSRyoe6sjKwPoav15F/wAE/wD4TeM/gN+wt8HPgn8RY9mv+E/hhoWk63FvDeVd29hDFLHkcEK6sue+2vXaACuZ+M3xe8DfAL4Va/8AGf4l39xbaD4b02S+1Oa0sZbmURIMkRxRKzyOTgKqgkkgCumrkPj98QNK+FfwT8U/EPW9E1rUrXSdEuJ57Dw5o02o304CEbYLaBWkmc54RQSaAIv2dvj58Of2pPgd4X/aH+EV9dXPhnxfpEWpaJPe2b28rwSfdLxv8yHjoea7SvkX/ghTr2pXv/BLX4UeDfEHw+8W+GNY8H+H49B1zSfGXhe60m6S7gVWcpFcojSRfvBtlA2sQwByDj66oAKSSRIo2lkYBVBLE9hS0kjiONpGBIUEkAZJoA8S/ZK/4KFfsx/tr+I/Fvg74GeItYfVvBUtt/bel+IPDd5pdx9nuQ5tryKO6jRpraYRyGOZQVbacds+3V8Bf8Eh/izqH7T37UHx7/aw+K/wg+I3g7xz4qvLHS9M0Hxj8PdQ0i00jwrp0tzDptvFc3MSR3dzM0lxdz+WSENwiDhMn79oAKKKKAPEbr/goV+zRp/7Y9l+wtqWs67a+O9TimOltdeF7yPS76eG1W8ltIb9oxby3CW7LK0SuWVTzg8V7dX57fGfTvFPxN/4Lo/B3xT8Lvg/8XI73wDb61ZfEPWvEulXH/CGR6FNpDmC702WQtbi9ku5YYS8G2YrHIkg2qK/QmgAooooA8s/aw/bL+AX7FXhPw74y/aA8VS6ZaeK/GNh4X0FLaze4lu9SvHKwxKiAnHyszN0VVJNep1+X3/Bwf8ABL9tj4k+JvAXxA+Bf7Ly/E3wp4Tl0ZrOG08TC1utK1yTxPpcr3H2VYJZLhWtrRLczDattFc3MrblVlr9O9OmvbjT4J9Rs1t7h4Vae3WXeInIBZQ2BuwcjOBnFAE1FFFAHmn7WH7V3wr/AGNPhQPjF8XrbXrjTZNastJtbLwxoE+qX93eXcwhghhtrdWkld3YKAoJ5rqfhJ8S9H+Mnw00T4p+H9E1vTbLXdPS7trDxJo02nX8CMOEntp1WSBx3RwCK8K/4Kw+EPhD4y/ZQ+yfHHwd8XdY8P2PivTNRkPwPtbiXxDY3FvKZbe6hFt+/VUmWPLw/OpKnhQxGp/wSmX9pNP+Cd/wnX9rxtZPxC/4Rhf7ePiRs6lt86T7N9rPX7T9m8jzc8+ZvzzmgD6DooooArazrGleHtIu/EGu6hDaWNjbSXF5d3EgWOGJFLO7MeAoUEk9gK8u/ZB/bY+A/wC3J4EvviT+z/f63c6RZX4t1udb8NXem/a0aNZIrq3FzGhntpUYNHMmUcZweCKu/trfDXxf8Z/2N/iz8H/h8R/b3ir4aa7pGiZfaDd3OnzwwjJ6fO6818f/APBvR4a/aH8I/Bbxv4e+Jum/Fmx8F2Nx4etPBWnfGVZ11S1votDtY9bjgW4/eJYLqCusCj90FVvL+TFAH6G0UUUAFfPnwj/4KXfs8/GT9rLVP2LNE8NfEHSPHGmWOo33leKfh9qGmWd7a2VyltPcW1zcRrHcReZIgWSMlXDAgnIr6Dr5Q/Zz8D+M/iN/wVQ+Pn7TfjTwnqlhpPhPwv4f+G/w/utS0+WBL2BUfVtUubcyKBLE1zd28PmJlS1mRnKmgD6vooooAK8C+NX/AAUw/ZI/Z+/ah8M/sg/Evxnqdt4x8UPp6Wq2vh+6uLGye/nkt7BLu7jQxWrXM0UkcQkYF2UgV77X5Qf8FI/g38cfFX/BZr4f+N/DvwJ8davNHqHw7bwDrOgaFJN4ZltbTWr+bX312VR5Xm21rLHLaGc7o3fdD8xNAH6v0UUUAf/Z", 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DBJClrduuShVuGUHg9q+Azfh3FU4YrF/WGou8uVX1W9nqlpstHofsuaeI+XZ9lWRZZTwzoSwcPZzqwtza8q5oK8Xqo8zTlG85NXtq6f8AwS4eaP8AZLtdK01pH8M6b4o1qy8CSvGoV9Civ5ks/LK/6yERjbG/O+NUbLAhj9E15n+xzo2k+HP2aPCfh7QNOhs7CwspLaytLdAscEMc8iJGoHRVUAAegr0yvsssi4ZdRi3e0Y6/JH5XnmMhmGc4jExjyqc5O3q3v59/M/I3/g6p8R/Fi18H/Cfwtp8t6ngi8v8AUZ9VEUf+jy6nGkQthIw/iET3BVT1BcjOOKf/AATy+KPhvx3+wB4W8DftD/tZXdpazaXc6Vc+E7zx3aWMDaSkrww2zxArIsTQKFILBmQ9ea/Tb9qz4d/sufE34PXXh39sKw8MT+CkvIJ7lvFt+lraRXCviJ/Od0Eb7m2ghgTuK8hiCvx58K+DoP2UvGXhjR9DsU0ZPh9qFpa2dtEogFqLGRFjQLwE2YAA4x0r5vM+H8TiswrYmGJcE4rRXvorWeq00/PQ/SZ+IOEn4b5dw8sHy1KFaU/baa6t+69+f31zaqyjDXX3fCf+CdGkaD4J+PXxW+HXwf063sfAdnp2h3cml6Tbxpp1jr0ouhdJDs+VJGtY9PeSMYALIxAL5P17Xzp/wTv+EHww+Bnh3xl8PfhD4JsvD+iw6/bzx6fYK2zzZLKEu5LEszHA5JPAA6ACvouvV4ai4ZHQTd9L/e3p8j4PivHUswz2rWp3atGN5fFLlhGPNKzdpStdq8rXtzS3fx1/wXm8SfFjwx/wTJ8eXfwllvYpLh7O18QTafHmRNKlnVLnJHKoykI5H8Dtngk1+ZX/AARK8bfELVfAPxX8Dax4lu5vDOi+Dry40TT5ZwYrK5nA+0vGOqbxFAT/AA5TPXdn97PFHhjw9418Nah4O8W6Pb6jpWrWUtnqVhdxh4rmCVCkkbqeqsrEEehr5O/aB+BXwh/Zx8Jad8KPgd4BsPDfh6y8BeJJbbS9OQhFeSW1d3JYlmYsepJPQdABXhcW5XVqJ45VLRjFJx7+8vw1v6pfL7vhvjvA4Pw7xHCssKnVrVlUVXTRJRb8+ZcnKracs5aq1peqfsheO9S8d6SNTsvHT+JdHOlxLFrH9oLdJNKmEyJU+RmO1t2O45Gc17XVfSUSPS7dY0CjyE4Ax2FWK+qyvBTy/BqjOo5u7d3vq793+Z+VYqvHEVnNR5V2RzPxpvvG+l/BzxZqfwztnm8SW/hm/l8PwxwiRnvlt3MChW4YmQIMHg9K/nX/AOCSHxb+IXhz9ui61PxJ8atU8KR+INN1I+N9bk1mKymnbDTASzXAOGa6EZI+8ST2zX9J1fHX7D3wN+EPw7/aZ1zx14J+HmnabrPizTfEN14k1GGNjLfzDWLchnLE45djhcDLdK8DiXBVMXjsJGFRwbclddNL3Wq10sfp/AnHGB4a4RzrLK2FVWWKhFRk7aWbXvX6Lm5o22ml3uvBfjho3wQ1fRLj46/DbxxZ+NPivaeJ9D/4RLxV/bNtq+rjVkukSxsomBIWNwZg0CgKyNNIwJUuv6f18c/Hn4HfCHXv27tO+Nes/D7TrnxXoWseFbXR9clRjNaQveDcqDO0Z8x+cZ+Y4NfY1XwxhZ4SrioSm5tTtd9bLfrq76+h8rxFmtPHZdgqMXJuEZNuXTm5UqcdX7kFC8fh1lK0Vuyv5xf24/i7+0r4Z/4LVeKfGmp+MtY0LxRpPxJFh4f1DzVtpLPSDIIbXyy3yJE1nIp3H5WWVmb7zV/R1XlWv/CX9j3UP2r9H+J/iTQfBz/GO20B49FnubyIaudP/eozxwF9zoA0yeZsOAWXdgYrvz7K6ma0acIVORxknf8Ay810PpPC3jjCcD43HVq+D+sKth500rJ2bs/ev/y7drT8rPW1j5A8faX+yN8eGkj+Nfxx0n4k2uk6XfNDa+KvGlpqEWm2zxgXNzHGhURsI1GZyN0YBKsuST9af8E/9U8c6z+xX8M9S+I7XratJ4StfMk1K1ENxJCFxbySoAArtAImYYHJOQDxXnn/AAUf+Bfwf+N8ngvw98W/h5p2v2Niuq31paX0bbEuEigCvhSN2AzDByDnkGvffgr/AMkc8JcD/kWbDoP+neOvKyHA1cFnWJhUqubUYavrfXu9rWWp89meb0sRwxQwq5m+dys7ctNR5lanq/jcuaekVeMfi3XTV5X+1H8KP2P/AIo2XheL9rnRPB93BY+I4n8J/wDCW3sUCnUmB2RwmR1813A/1XzB9oypwMeqV+G3/B0Z4o+Lo/as8A+GdTur+Lwba+DPtnhxQpWBtRa5lW7dWH3pFRLQHuoK4xu59vPMfDLsulWlDnV0rPbV9f63ser4V8KYjjPjOjl1HFPDScZy9pG/MuWL0jZq7ez1Xu8z6WP3F+yWobcLaPOeuwVJX5vfsd/tLX2ufBP4feJfid+2vqF34u1Dw/aNq2jaj47sj5t1LHt8t4AA+47h8ud27Hevv/4T3euXvgHT7nxC0jXLI3zzZ3sm47S2ec7cfWuXKuIsNm+JdGlTkrK93bulbRvufKZvktbJ69SlUnGXJNwvF3Ts2rrydtDoqKKK+hPFPHv+CgniD4reFP2I/il4k+B73ieK7LwVfS6NJp0e+4jkERy8Q671Tcy45BAIycV+Tv8Awaza38T0/ad+JGh6Yl0/hG58FxXGvSCANEuoJdoLPc55VzHJe4H8QDE/dr9vr9itjMynkRMR+Rr5H/4JgfBL4S/BO/1m0+E/gGw0GPW/B2h6hqwsVbN1dM10DI5Ykk+3QZOAMmvmM0oSlxDgp8zXx6eiv+N7PyP1PhjjXB5P4cZxkVTDKc8S6bjPTSzXxdfdtzQttJt6dfr2vD/+ClfiP4seEf2Cvit4k+Bz3qeJ7PwddPp0umx7riJcATSRjqHWEyMCOQVyOQK9wqj4mLDw3qBXqLGXH/fBr6KvTdWhKCdrpq/a63PzvK8ZHLszoYuUFNU5xk4vaXLJPlfk7Wfkfz4/8EMvjB4m8GfEjxn4M1T9obUfBHhG40RL64SDxJb6fFPqKzRxxHMwOW8ozZC9Qo3fdWv14/ZWsPCnj/x1pfi3wj8QD4oh0nUbm9vddi1aK+NxctayW5E00eVLBJl+UYICr2Bzmf8ABMX4F/B74JDX9F+E3w703QrXU/C3h+/1CKyjY/aLl/toaRi5JJwAMZwOwFfWscUcQ2xRqo9FGK+C4fyGticNh8XLES5YvmUOl4t7a2/Dqfo3ihxvg+LOLcVj8NhvZxqKMdbcztBK8raNv12S7DqKKK/Qj8qP5p/2ffi58f8ASv8AgrX/AMJt8UPiLqvhjxbqHj6+tPG+r3F3FZT2kLO6XUbPKNkKrGpQDooVQvRa/R79ojRv2V/ij8N/F/xH8ZfF6y8d+ItD8JS/2Rr1/wCJbbVdQ0V0YyWpslQ4hla78rbtXdLJsjO4EIfdPh58D/hHpP8AwUFuvjfp/wAP9Pi8Xax401Wy1LXtjGee3XS5QsZySoGI0+6ATtGc0z/goj8DfhB8Svi5pfi/x78PdO1XU/Cng57zw7d3cbE2E5uifMQAhScohG4HBUEYr8lq5TXWXV63t5csarjy62b5kuZ676326bn9AcTeJGW8ScVZfjaOGeGVKhCL9nbmbinJwWqXJf3Fd6R1cX8B9U/CW88Y6j8KvDOofEW2aHxBP4fspNdhaMIY7xoEMylRwpEhYYHAroKKK/WYrlikfgdaoqtWU0krtuy2V+i8kFefftI6QNT8EWlwdMFwbHVY7hX2kmA7JE3jHs5XnjDGvQaK5cfhPr2CqYfm5eZNX7FYer7CtGpa9nc5f4LeEj4H+FujeGWMu6C2LsJ8bw0jtIQcAYwXIx7V1FFFbUKSoUY019lJfcrGc5Oc3Lufkb/wdUeI/ixa+DvhP4V0+W9TwRe3+oz6qIk/0eXU40iFsJGH8Qie4KqeuXIzjiT/AIJxfHdPFP7EPhDT/j5+2Nf21x9iuNPk8O6l46s7eM6ZHK8MEDwt8/lmBVXBIYr35Br9Pfjr+z78F/2mvAEnwu+PXw70/wAT6BLdRXLabqSMUE0ZJSRSpDKwyRkEcMR0JFdJo3hrw94e0e08P6FolraWNhbR29laW8CpHBEihURVAwFVQAAOgFfLY/hvF4zMqmJhiXTUklZXvorW3WnX5s/VMT4h5dX8NMDwysEva0Ks5uppZp8zVtG+Z81pX0tCO+0fPf2YPC40rQNX8UBpP+J5qEcy7sbCscEcQZOOQdvXn2r0+gAAYAor6LL8GsBgqeHTvyq1+5+X4is8RXlUta4V41+1V4Ffxtdabpw0t2N9p13pi3kCkyItxsDoOoH3FYZH8J7A17LRWeaYBZngpYdy5U7a+jT/AEKwuIeFrqole1/yGW0It7eO3UkhECgn2GKfRRXoHOcv8br/AMc6V8F/F+qfDC2ebxLbeF9Ql8OwxQiRpL5baQwKFbhiZAgweD0r83rP43+FvDdz8AbHwp+0zfaBFq/hq/fxBqa+ILW2ubqz+wo0kt1LNkxynUY4VYcEy+cpHyMF/UmuB+Fn7Lf7PPwS8ZeKfiF8KPhHo2ha142vvtninUbG2xJqM++R975JA+eWRsLgEuTjNfO53kuIzWvRnTrOnyX2vfXqtVr032Pq8izvLMuy3EUcTR55yu4aRs24yhabeqUebnhZP3lZpX5o/PvwEj8G/FnxraN4W+LsnjSe312xvdU1Zdfg1GeMW0qzRRyPF8qJ+7IAIBO5sHJ4+wKbHDDDnyolXPXauKdXVk2VSyqlOMqrqOTu2/RLu/zPAxmLWLnFqPKkrWCv5xf24/i7+0r4Z/4LVeKfGmp+MtY0LxRpPxJFh4f1DzVtpLPSDIIbXyy3yJE1nIp3H5WWVmb7zV/R1XB6t+zB+z9rvx30/wDad1j4TaPcePtL002Fh4okt83MNuRIpQHOM7ZZF3EbgrEZxxWee5TWzajThTqcjjJO/wDXVdD9C8MePMBwHjMbWxWFVdV6E6SWmjdmk7/Yla00tbW0drHyx4W8Y/D34g+KRo+jftKS+OtUe1mh0+wuPGFtqMsKPgSNFFCA2SAuTg8AV9oeC9BTwr4O0nwvG7sum6ZBaq0hBYiONUyccZ47VoJbW8bbo7dFPqqAU+pyfJamV1alSpWdSU7avyv5u+58BjMbHFQjGMFFRvt5/JBXCfHH9mP4A/tLW+i2nx5+FOkeKY/DuqLqOipqsBcWtyBjeuCMgjGVOVbAyDgV3dFe3OEKkXGaTXZ6nPhcVisFXVfD1HCa2lFuLXTRqzWmhH9ktQ24W0ec9dgqSiirMAooooAivVkezlSGNXcxMERjwxxwD7V5B+y14ATw5qer65HYTWiLp9ppUNqykJGlu0zBRkZyPN2nnsO9eyUV5+IwCxGPo4lyt7Pm078yt+B0U8Q6eHnSt8VtfR3CvHP+Cg2uePfDf7F3xE1v4a3mo22qweHnJu9Hh8y7trUugupoR/z0S2MzqRkgqCOQK9jpJI45Y2ilQMrAhlYZBB7GuuvTdahKmna6av2utzXLsVDAZhRxMoKapzjJxe0lFp2e+jtZ6M/NfWvjf4M8O/tQaT4R8I/tRv4V8OyfC0XN+ukeKrO1t5SLuL+zG82TcXLQS3jKoOCm1+hBP1R+yZ8R7rxxqkKeG/itL4x0m2t5YbvVG1iO+G8HcA8sXyeYC4GODtI9BXonwI/Ze/Z8/Zj8PX/hT4BfCXR/C2nanqT6hf2ul2+1ZrhlVS53En7qqAo+VQOAK7uOKOIbYo1UeijFfJZbwvjMHOlKeKdoO/Kr8vpv166dz3M7znK8VVcMFR9xRUVKSSnLq5SUbq93ZJSdkkruw6iiivsj5Y/Kq4+N+raB8IfhfrHij46X/hzx7qvxakh8Z3cupW1pewXhnuxrME3m5FvHDG7qMAbFFuB99d3vPgCbwJ8atauvC2gfHqbxzqWoWyWtxM3ii31G5s7Yvg7REMRpliSWGM96+n/D37Lv7PfhT44a1+0n4d+EmjWnjrxFZLaa14mit/8ASbuECMbWOcDPkxZIALbFyTiu6jt4IjuihRT6qoFfC0+D8VZxqYp8rleyTs9b3eu79Hr3Pt884lyvG11UwWH5b8zbaimpTbbjHlv7kPhjs2ru0b8qfRRRX3R8QFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXj/7Zv7dX7OX7BHw+0/4k/tHeKL6xsdW1Q2GmWukaNcahd3MqwyTyskFujSFIoIZZpHxtRI2YkV7BXwP/AMFuPDnxL0DxF8G/2j/B/wAFvFfj3SPB6+NdG1zQ/BeiSalfJNrfhm70+ym+zx5YxfaSkTv0jWfceAaAPunwr4o8PeOPC+m+NfCOsQajpOsWEN7peoWr7orm3lQSRyoe6sjKwPoav15F/wAE/wD4TeM/gN+wt8HPgn8RY9mv+E/hhoWk63FvDeVd29hDFLHkcEK6sue+2vXaACuZ+M3xe8DfAL4Va/8AGf4l39xbaD4b02S+1Oa0sZbmURIMkRxRKzyOTgKqgkkgCumrkPj98QNK+FfwT8U/EPW9E1rUrXSdEuJ57Dw5o02o304CEbYLaBWkmc54RQSaAIv2dvj58Of2pPgd4X/aH+EV9dXPhnxfpEWpaJPe2b28rwSfdLxv8yHjoea7SvkX/ghTr2pXv/BLX4UeDfEHw+8W+GNY8H+H49B1zSfGXhe60m6S7gVWcpFcojSRfvBtlA2sQwByDj66oAKSSRIo2lkYBVBLE9hS0kjiONpGBIUEkAZJoA8S/ZK/4KFfsx/tr+I/Fvg74GeItYfVvBUtt/bel+IPDd5pdx9nuQ5tryKO6jRpraYRyGOZQVbacds+3V8Bf8Eh/izqH7T37UHx7/aw+K/wg+I3g7xz4qvLHS9M0Hxj8PdQ0i00jwrp0tzDptvFc3MSR3dzM0lxdz+WSENwiDhMn79oAKKKKAPEbr/goV+zRp/7Y9l+wtqWs67a+O9TimOltdeF7yPS76eG1W8ltIb9oxby3CW7LK0SuWVTzg8V7dX57fGfTvFPxN/4Lo/B3xT8Lvg/8XI73wDb61ZfEPWvEulXH/CGR6FNpDmC702WQtbi9ku5YYS8G2YrHIkg2qK/QmgAooooA8s/aw/bL+AX7FXhPw74y/aA8VS6ZaeK/GNh4X0FLaze4lu9SvHKwxKiAnHyszN0VVJNep1+X3/Bwf8ABL9tj4k+JvAXxA+Bf7Ly/E3wp4Tl0ZrOG08TC1utK1yTxPpcr3H2VYJZLhWtrRLczDattFc3MrblVlr9O9OmvbjT4J9Rs1t7h4Vae3WXeInIBZQ2BuwcjOBnFAE1FFFAHmn7WH7V3wr/AGNPhQPjF8XrbXrjTZNastJtbLwxoE+qX93eXcwhghhtrdWkld3YKAoJ5rqfhJ8S9H+Mnw00T4p+H9E1vTbLXdPS7trDxJo02nX8CMOEntp1WSBx3RwCK8K/4Kw+EPhD4y/ZQ+yfHHwd8XdY8P2PivTNRkPwPtbiXxDY3FvKZbe6hFt+/VUmWPLw/OpKnhQxGp/wSmX9pNP+Cd/wnX9rxtZPxC/4Rhf7ePiRs6lt86T7N9rPX7T9m8jzc8+ZvzzmgD6DooooArazrGleHtIu/EGu6hDaWNjbSXF5d3EgWOGJFLO7MeAoUEk9gK8u/ZB/bY+A/wC3J4EvviT+z/f63c6RZX4t1udb8NXem/a0aNZIrq3FzGhntpUYNHMmUcZweCKu/trfDXxf8Z/2N/iz8H/h8R/b3ir4aa7pGiZfaDd3OnzwwjJ6fO6818f/APBvR4a/aH8I/Bbxv4e+Jum/Fmx8F2Nx4etPBWnfGVZ11S1votDtY9bjgW4/eJYLqCusCj90FVvL+TFAH6G0UUUAFfPnwj/4KXfs8/GT9rLVP2LNE8NfEHSPHGmWOo33leKfh9qGmWd7a2VyltPcW1zcRrHcReZIgWSMlXDAgnIr6Dr5Q/Zz8D+M/iN/wVQ+Pn7TfjTwnqlhpPhPwv4f+G/w/utS0+WBL2BUfVtUubcyKBLE1zd28PmJlS1mRnKmgD6vooooAK8C+NX/AAUw/ZI/Z+/ah8M/sg/Evxnqdt4x8UPp6Wq2vh+6uLGye/nkt7BLu7jQxWrXM0UkcQkYF2UgV77X5Qf8FI/g38cfFX/BZr4f+N/DvwJ8davNHqHw7bwDrOgaFJN4ZltbTWr+bX312VR5Xm21rLHLaGc7o3fdD8xNAH6v0UUUAf/Z", "info": {"equation": "45+83=128", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "aad2c94822ff6ca350856058d2a5f2cfa5661c1d58273fa826a236ddcf4ac789"} +{"episode": 30692, "episode_seed": 2882846476, "split": "train", "timestamp": "2025-10-28T03:46:28.289167", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2882846476, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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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", "info": {"equation": "56-4=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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+APFvwv8AhZpWi6n4k8A3cuu31rGxkvG8mxk+YuzYG92bauBk9OBj2L/gpB8FfhR8cND+HvgH4teA7HXdGk8YzzvYXYZUMkelXxRsoVbIJPevyjDZTiKvD9TEqvJRjf3NbO3z/Q/bvEPxFy3jDjuhjcNQlh4qEYOas6v2ruycU9G4pc6vHdq9lif8Elb26TwD8RfCfg+/uLv4Z6D8Qp7H4XTuRJbJYi3ha6gtJsnzrWK+a6ijbLABNoYhcD6zrxj9gXwr4b8C/s3Wngvwbodtpmk6V4l12103T7OPZFbwpqt0FRR2AH4nqck17PX6TksHTyigm7+5F6+av+Gx+O8S4+GZ57XxMI2Updd3ZKPNK28525pvrJthX86v/Bwn4t+OGu/8FIPEfh74rTaiuiaRYWieAra6i2W66a8KM8sAHDBrjzwz8ktHtJ+QAf0VV5p8f/2Of2X/ANqe+0XU/wBoX4J6H4suPD0jvo82q25ZrfeVLLlSNykopKNlTjpXPn+VVc3wPsKc+V3T12fk/wA/VH2nhJx7gPDvip5njMO60HTlDS3NFuzUo3sr6cr1Xuyfo/zx/wCCf/7SniPxZ+yF4N1v49/t063p3iWS0mjntLr4gWNtLHbpPIltuRwXBMCxnL/M2ctyTX3b+zL8QNd8e6our6X4xPiDRZ7Ak6ml6txDIVwiusifIWJUg7evzcZHHs0en2EUaxRWMKqqgKqxAAAdAKlREjXbGgUDoAMV52D4bxmHxVOrPGTkou9nez8vif5bHyud8QYfN8ficTTwsaSrTlJRja0eaTdlotFey22Fooor6w+ZPjL/AIL3+Lvjl4M/4Jt+K9Q+Bsuowvc39raeKrrS4t0sOjSF1uSSPmRCfLR2HRHbOFLEfj//AMEXPin4u+H/AO1PcaHZ/Ge88FeGdX0OdvE99a6xb2CyiFGNsrSzAgHznGFXk7j2zj+kXWNI0rxBpN1oOvabBe2N9bPb3tndRCSKeJ1KvG6tkMrKSCDwQSK4H9nr9kf9mz9lHQdQ8M/s8fB7SPCtlqt2t1qUWnxMTcSqoRS7yMzEAdBnAyxABY5+Vzjh7E5lmMMTTruCSt1uvSzW99dV8z9n4U8UMr4e8Ncw4arYFVKmIk3GenL7yirzvrzU+W9O19bbWu/jPXvDH7JHx78QDUviz8VdC+KN5puj3UdtF4w8XWuqJplmwBupIogwSAEBN8+0MAifOu0V73/wSXvvEl1+x1Y2N/LeTeHdN8SatY/Du6vrdY3n8Nw3TppzjGN8fkgBHP3o1Q5IIY43/BQr9nf4IftA/Fn4deHfjR8M9N8RWNhoeu3NnbXwcLFKbjSlLjYyk/KSMHI56V7F+xhaWth+yn4BsLG2jggg8NW8UEEKBUjRVwqqo4UAAAAcACvPyHA1MHxHiKc6rm4xV2+t7PXV7bLU+TzHO6NfhClhFzSlKd+WVuSko8+lPVu8+a8vdgla1pXuvTqKKK+6PhDxL46fA39gbx1+0F4O8bftB+G/ANx8SbVoV8Fv4g1CGLUZzHMXiWGFpFNxtlJKja+GJxya9pNnaE5NrH/3wK/mQ/4Kv/ED9oXUv+CknxI1z4xarrFpr2heL54PDLzboJLLS4Z2bTmt9uNieSY5VZfvM5fO5ia/U39m79pKfxB8CPBXin4w/t46nb+Krzw9Z3PiC0n+IWnw7LpkDOrRBfk56r26cV8NDjDB4fFVoToNWla8Uru2l5ba/efuXHvhbmPDfDGU46pmKrqtDSDbtTulO1LV3hrq0o62dve0/SVVVBtVQAOgApa8q/Zt8X+I/GQvdZl1ptT0m6gS4tb8T+bFIz/MDE4yrKynPynGNuOvPqtfVZZj4Zng44iMXFO+j8nY/FcVh5YWs6bd7BX5x/8ABzJ4u+OPhv8AYm0XTPhtNqMHhfVvFK23jyewj+U2+zdbxTOOUieYD0DMEUnkA/o5XO/Fvwv8MfGvww1/wt8adO0q78JXmkzp4jh1tlW0+x7CZWlZyAiqoLFyRt27sjGaeZYWWNwFShGXK5K1/wCunfyPoOCc9o8McWYPNKtH20aM1Jw79NP7yveP95I/Ar/ghh8XvFHg3x5408Hat+0DfeB/B8+jpezfZ/EFtpyXGpiaKOL55gS58nzvlXjABP8ADX3r438C/sTfGCPxB4/+L/xE0Dx/eWuhCLU/EniPxVbajdaPYI+5PJcMBZgSncGQIWdsFjnFfa37Kfwx/ZR+Gvwhg0D9j/SPCkXgyW+nuIX8J3kd3aTXJYLK5mR38x8qFJLEgIF4CgD5u/4KC/s1/AX41ftCX3iH4sfCrSdevPD3wzs5tGmv42ItnN1qbkhQwVwWjQ4YMPl6cnP53mvD+Ky7JvayxLlFW91X5dX018+x+kcQce4LifxFrZnTo1MHGWjcEvbe6kveXNBc0mlze8+XTSTWvu3/AATv8S/Fzxh+xP8ADnxL8dJtSl8TXfh9XvbjWbcRXlxD5ji2mnXjEr24hdsgEsxJAJIr2euc+DzFvhJ4WZjknw5Ykk/9e6V0dfpmHg6WHhBu9kld7uy3Z+OZni44/Mq2JjBQVScpKMdo8zb5V5K9l5BX8qHxu+Mf7VWm/tn698YfiN4o13Svizp3jB5rq+l/cXdjfxSbERV6IqBVRUHyBAFGVr+q+vgL4+/s4/AvX/2tPGPx/wBc+F2l3XjPTviV4dhsPEM8bNPAiw6Kq7QW2ZCuwDbcjPBzivk+MsPKrh6ElNq00v8AwLr6q2nqz9c8GvEHL+AsVmDxWEVf21Ky2unFv3Xf/l3Pm9/d+7HRlPR/jH8O/EfgqwsPiZ+25NqTXelwDXtH1L4jWDW9xI0amaGRExlC24FQRxxmvqf9l/wabbXde+JLtNnVbCysY9wHlukElzJvXjJybkgnJHyj0NevfYrP/n0i/wC/YqQADgCunAcN1sJmEMVWxMqjinZNd1bdyZ+W4vNIYijKnCkoKTvptvfawUUUV9SeQfhL/wAHPPi7443X7XfhrwT4qn1GPwHa+Fo7rwlbtHttJrpmZbyRSOJJQRErZ5VSvADZb0v/AIJKftFeKdU/Y+sLH40/tn6z4fbSdWm07wzpc3jizszDpUUUKxKscoL7A/nKpb+FQB8oWv1Q/aG/ZY/Z6/av8MWfg39on4UaV4r03Tr37XY2+pI2bebYyF0ZCrLlWIIBweMg4GOv8PeEvC/hLQLHwr4Y8P2dhpumWcVpp9ja26pFbQRqEjjRQMKqqAAB0Ar4zE8MY2vmdXEwxLgpdr39HqtF0P2vNfFTKsw8McBwxHAJVaErub5eXS/vR0b553vNu2t976fLX7P3hjwd8Tda0G48EeMRr1hp3iP+1brWrLU47z7RdJI80jTTJlSzyOS2MHLcYr61pscccS7Yo1UeijFOr28lyn+yMPKm6jm5Scm2rb28327n5BjcX9cqKXLZJWsFeHf8FJvEnxU8IfsPfELxF8GbzVrXXbbSoc3mg2/m3tpYtdQrfTwLgnzY7M3EikAspQEAkCvcaOvWvTr0nWoTpp25k1dbq6tdehWV4yOXZnQxcqaqKnOMnF7S5ZJ8r30drPR6H5ifH34y+C/APiP4GaV8Hv2gY/DcN9rq2yXWia/aRiXwz9jkE8jTSFgkW6C3CyA/M6lQSeK9R8N/EX4Y+LvFOn2n/DUx8Z6jFJI2kaZqHja0vmjlMTq0kUUWGL+U0i55wrNx3H058Df2Mv2WP2afEGu+KvgP8DdA8Mah4lcNrV1plqVa4w7OFGSRGm52OxNq9OPlGPSltbVGDJbRgjoQgr4ajwdjVhvZSxbSd7xSbj/6Ur+eh9Nm/EGT1K1OOBoNxgvjmoxnJtt6qPMly35V7zulfS/KuM/Z48Et4B+F1to8gnD3WoX2oSJcgBka6upbgrjAwAZMAHnGM5NdvRRX2+FoLC4aFFO6ikvuVj4+rUdWrKb6tsKKKK3MwooooAKKKKACiiigDyH9pjQpbrX9B8RR6IJZLS3uLa3u0RmdfOeFni44wxhiI7krxXbfBPwSnw4+Enh7wNHJMw0zSooc3BG/gc5wAM8+ldRRXlYfK44fNK2N523USVu1l3+R1VMU6mFhRt8N9fUKKKK9U5TzL4o/safstfGr4r6F8cvit8D9B13xb4a8r+xNcv7YtNbeVIZYxwQHCSEsocMAScYzXpJs7QnJtY/++BUlFRGlThJyjFJvfTf17nVXx2NxVKnSrVZSjTVopybUVvaKbtFX1srCKqoNqqAB0AFLRRVnKFfnH/wcyeLvjl4b/Ym0XTPhtPqMHhfVvFC23j2ewj+U2+zdbxTOOUieYDPZmCKTyAf0crG+IXw98E/FjwPqvw1+JHhi01rQdbsntNV0u/i3xXMLjDKw/UEYIIBBBANcWZYSWOwNShGXK5K1/wCunR+R9PwXn9DhbirB5tWoqrCjNScH1XlfTmXxRfSSTPwH/wCCGvxu8ceE/F3i/wCHeuftH6p4K8DDSv7QFvF4mt9Pgk1VpYY1ZTODlzCsmQnUIu7otfpj4I1PwF8Ub7VdL8LfGs+OtY1DTls7q5PiSDUruG2/eKiDyfuIGmkYZX7znk9K+qvgX+zj8Df2Z/Aa/DH4EfDLS/DOhLdyXR07ToTteeTG+RmYlnYhVGSScKo6AAdnHBBEcxQopPUqoFfIQ4NxUsMqNXFvl6xSbj8ry/T5H1PH/H+A4t4txGbYXCKlGdkr25nZJc0rK3M7a2b7XdrlHwhoUfhbwnpfhmKR3XTtOgtVdyCzCONUBOOM8dq0aKK+7SsrH5g3dhX5PXvxo1LRP+Cevjn4h/FP4q32l/FAXWqTeJbi+mhj1Kx8XJcu1varA2QhSSC3SGILj7PEjKCo3H9Ya8y1b9jP9lrXf2grb9qrWPgfoNx8QrNEW38UyWxNwpWIxKxGdrOsZ2hypYAKARtGPn+IMmr5xCkqdTk5Xf8A4Pqraer1R9dwtneUZVGrDH0XNOUJrlUW26fP+7fNa0KnP7zV2uWL5JbHyh8P/wBojw1YaRoeueJf28LmXVIrK1m1KzvPiNpzQtceWplR0AwV37gVBx2zX11+zzrHijWPD93Prl1PcWomU2NxcMWL5BLAMfvLnHPqSO1d99is/wDn0i/79ipAAOAKyy7IMVgsbGvUxUqiSejv19ZP19bHi4zMqWJpyjGjGF3fTp6afIKKKK+mPKCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooqDVbSXUNMubCG5aF54HjSZOsZZSAw9xnNAHzx+zv8A8FXf2Iv2pf2hNT/Zl+DfxOu77xLYLfNYyXWhXVtYa2tlN5N4dOu5UEN6IJDtk8pm28nkAmvo6vxU/wCCVv7N/wC0zYftE/shfs8eMf2b/HHhS8/ZJsviRH8UPF2t+H5bbSL9tVuZlsV068b5L8XAlWVvLJ2gHd0r9q6ACiiigArw39tn/gon+zB/wT80rw5q37SXiLV7JPFWp/YdIj0fw9c37F98UZeQwoywxh5oV3uVBaRQMk4r3Kvz7/4OP/FurS/sGxfBTwf8I/H/AIu8QeK/F2jXmm23gfwNfawsMOnatY3Vybh7WNxb/ugxTfjzCrBc4OAD9A1YMoYdCMilrmvg78TdF+M3wv0P4p+HNF1vTbHXdPS6tbHxJos2nX8CN0We2nVZIX45RwCK6WgAooooAoeKvE+h+CfC+peM/E9+LXTNIsJr3UbpkZhDBEhkkfCgk4VScAE8cCvD/wBkD/gpl+yl+29448SfDD4K694gtvE3hWzgvtV8O+LvCV9o179hnOIbyOG8ijaSB+MSAY+ZfUZ9q8c+KYPA3gnWPG11pF/qEWj6VcX0lhpVo091crFG0hihiXmSRgu1UHLMQB1r85f+CM3xR1j9qv8AbL+LH7a37Rnwb+Jvg/4s+M9ATTdH8NeKPhlqek6V4V8JWV2Ba6el9dQpFe3sskouJSp7kIoVGoA/S+iiigAooooA+d/2zf8AgqL+yZ+wTr1lof7RereKbNLizivL/VdG8E6hqNho9rLP5Ec99dW8LRWiNICq+YwJ2nAr6B03UrDWdOt9X0u7Se1uoEmtp4zlZI2AZWB7ggg1+ZX/AAcX2Fx8c/hdF+zf4H+BX7QevfEiKyt7/wCGUvw90W7uPCesX819Bm21jYTaSpD9lRyl6oVVlJjJ3NX6SfD2LxPB4A0ODxrb2sWspo9surxWSgQpdCJfNWMDgIH3AY7YoA2KKKKACgkKCzEAAck0V4n/AMFG/CH7S3xC/Yj+Ivw//ZCihf4ha9oDadofnaoliVWeRIrhkuHBWCUW7TFJCDtfacHGKAF/Y1/4KC/sv/t8xeN7v9mHxrca7a/D/wAWTeHdfvX06SGFryMZJgdwBNGRyJF4III617XX5lf8G+vws/aS+Cfxb/aZ8B/Fb9iX/hUHheTx7p8vh61XxGb63jaHTLa1FpayfZoRewrFEjm8T5WdmTbuUk/prQAUUUUAFfOfxK/4Kgfs6/DP9qqb9ji58IfErXfGVm+lDVT4S+G2parYaYuoki1kurq2iaK2RgHJeQgARuScKcfRlfkt/wAFUPAHxC0r9u1/H/7CngT9pnS/2ide8X+EIIdb0G1u4/AGraLbBROb+WL/AESSGOCW6R1uT5iyZ2Da2SAfrTRRRQAUUUUAch8fPj18Jf2YPg7r/wAfPjr40tfD3hPwxYG71nVrvJSGPIUABQWdmZlRVUFmZgACSK5/9lL9rj4TftkfDyf4kfCSz8S2draX5s7yw8XeFLzRr6CTy0kUtb3caSbGjkR1cAqwYEGvnf8A4OCf2dvjF+0x/wAEy/E/gn4HaDrGra3pXiPQ9dk0jw6N2oXlpZahDPOtsv8AHOsatIifxNGAASQKo/8ABDa3/aDj+HXxYufiJP8AFhvhvP8AE6ZvgoPjg903iUaN9mi803H2z/SREbnzfLEvzYDY+XFAH3LRRRQB/9k=", "info": {"equation": "56-4=52", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "4511ef710ca41f8c274c4a363495bda22464c95af9a3bbc3618ecc42521d9027"} +{"episode": 30693, "episode_seed": 3187883849, "split": "train", "timestamp": "2025-10-28T03:46:28.389916", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3187883849, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 4, 8])", "action": "('move', [6, 6, 4, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "0+14*10=140", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "0+14*10=140", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "d855a16279ff4cbbb65c1a01c1039bb97d81672772a4c5c7a392e229786f8546"} +{"episode": 30694, "episode_seed": 3649417967, "split": "train", "timestamp": "2025-10-28T03:46:28.450400", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3649417967, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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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", "info": {"equation": "48-39=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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", 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", "info": {"equation": "48-39=9", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "81b8da840a3952c812dd10420bf6cc8022cf19c156a817258a0a124190f06bdf"} +{"episode": 30695, "episode_seed": 2560863745, "split": "train", "timestamp": "2025-10-28T03:46:28.510526", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2560863745, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 0, 1, 8])", "action": "('move', [2, 0, 1, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "1*14=14", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "1*14=14", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "d8e720b42997aba9d7a6b560309a4bff23618126da4aa1b331dd042ef5363b79"} +{"episode": 30696, "episode_seed": 2639890654, "split": "train", "timestamp": "2025-10-28T03:46:28.586526", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2639890654, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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": "17+3*6=35", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed 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+3*6=35", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "a174ce5878874c93fe92ae78c7f04d9baa35f89a7bad4e108800f282d2ed9ab5"} +{"episode": 30697, "episode_seed": 498997800, "split": "train", "timestamp": "2025-10-28T03:46:28.638900", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 498997800, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 6, 1, 8])", "action": "('move', [0, 6, 1, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "0*14=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": "0*14=0", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "f35e07f48708bf62ef89ec0e1c8291dd9fb2e8e4f262ceceaedde3051813724a"} +{"episode": 30698, "episode_seed": 2653412533, "split": "train", "timestamp": "2025-10-28T03:46:28.700999", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2653412533, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 6, 0])", "action": "('move', [4, 4, 6, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "22-15=7", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", "info": {"equation": "22-15=7", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "ed1e5329257475de9e653c145474af02ad1289baf5674b976593572cb4f10ae7"} +{"episode": 30699, "episode_seed": 749950034, "split": "train", "timestamp": "2025-10-28T03:46:28.775964", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 348, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "sos", "groundtruth_kwargs": {"sos_seed": 12, "sos_max_len": 80}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 749950034, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 1, 7])", "action": "('move', [5, 0, 1, 7])", "reward": 0.0, "image": 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", 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", "info": {"equation": "6+10*1=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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ThmOESq4edSpKppaSfM0u93z2lfS0I73tH3H4C6rr2seBvtuuXMs4a6f7JPMxZpIsA5yeoznBrtaAABgCivtsDhpYPCQoyk5OKtd9T8kr1FWrSmla/QKw/ibd+K7D4beIb7wHbmXXIdDu5NFiWMOXuxC5hXaeGy4UYPBrcorpkuaLQqU1Tqxm0nZp2ez8n5H8/H/Bv14w+PWof8FXhfSzardza7pWtv8AEu4u4C8jRlWmaS4LDKMb5bYFuDvbb/Ea/oHr49/Y5+Cfwm+Hv7XOv/EnwT4BsNN17xYviqXxHqturedfuuswkFyxIHLE4XAJOSOBX2FXzXCdF0cslFyb9+W/k7fpf1Z+meLfGOD444phmGGw/sYqjThbS7aTbbtppzcsf7sY7bLl/jdf+OdK+C/i/VPhhbPN4ltvC+oS+HYYoRI0l8ttIYFCtwxMgQYPB6V8Xfsd/EB7z4x/ADRPhZ41vNYi1HwTqk3i4OY55ZNO+xRF7q8Jy0Mv9px26E8EytMhGVYL9818d/sNfBH4S/Db9prXPHngXwBYaXrXizTfENz4k1K3RvNv5RrFsQzliccuxwuBk9KnOqEp5vgZqTVpPT5X/G1n5M+dyPMcvw+S4yjXpc07NwdlZuUZQ95vVKHNzwtf3lZrXmj+T/7dvjr9qV/+C6WoatbJqsnjLSPihp9r4EtTaBmFkk0f2BIoz8rRvEyt6N5js3LNX9ElfHXx8+Cfwl8Rft4ad8bdd8A2F34s0PWPCtpo+uzKxmtIXvBuVOdoz5j84z8xwa+xafD1B0cVjLyb/edfS/36/gfS+I/GuD4ty3J6FDDKi8Lh1Tk1b3notLfYXLeKeqcperK574q2+lXHw+1RdZbbCtsWVgoJVx9wgHvuxXQ14n+2B8VG8MeE7jR9GsJb67tIhObKIc3M7YW3twcE5eRlHTjINejnmKp4TK6kpK/MuVLu5aJf10PzfA0pVsVFLSzu32SPO/2UfEPhbxp+1xrtvqMLm68L+GmtfDryRRmKWZ5Ym1J423lt8YewiPyLt3uMncQPrCvk68+B2t/s43vw+1TQrpbrVdBukv8AU7p3Qf2jJcbl1Zd5iAHmmaSVQAvzrFkqBkfWEciSossbBlYAqwOQRXn8Lv2GDlgpq1Sk7Nd76p/P9DpzRc9ZV4u8ZrT5boWiiivpjyz88f8Ag5c8R/FjQ/8Agn7Z2HgCW9j0TU/GtnbeNHs48qbLy5XiWVhysZuUgHoW2KeuDX/4NldX+JmofsCapp/jGG4Gh2Pjq8j8IvPAFVrZo4nnEbYy6i5abnnDFhnjA+vP25PB3hf4hfsx694H8baLDqWkarfaVbajYXGdk8L6nahkO0g4I9CDWd+wP4E8HfDD4Ey/D74feHLbSNF0nxLqEGnabZqRHBH5ucDJJPJJJJJJJJJJr5d0GuLlPmetK9vna3p19T9UXGmD/wCIQvhr6svafWfae002te/fn+xfbk0v0Pa65H48eEfgv47+EGv+FP2ibLRbjwTd2JHiKPxDcLFZCBWD7pZHZQgVlVg2RtKggggV11fnH/wc2+JPixov7C2iaX4HlvY/D2qeNbeDxk9omUaBYpJIEmYcrGZ0Q+hdUB5wD7WZ4qODy+pWlHmUU9O/r5d/I+V4HyOrxJxdgstpVvYyq1IpT2cba3jt72nu6r3rao+8/g54O+D/AIP+FXh/wz8DtK0aHwfZ6VCnhxNEdJbQ2m3MbROpIkVgd2/J3Z3ZJOa6hVVQFVQAOgAr8W/+CNXx51iH9kVvD3xP/a/1Xwva6N4kuLTwvo7eNbSxWKx2RyHbHKC5Xz5JsE8dQOBX6tfs0+LNY8Z+HLvXrjXTqmnXLRy6dqInEqTh1JLRuPlZCNpBXjnivDyrifC5jiKeGhSlFteXKrK+nl0Wi6HXxrwtieGuIMbhKtdVXSqSXPd3lru7/a195XdnfV7npdFFFfVHxQV/O3+xx46/al1P/gvFpHiPX01aXxzefFa7tfFsVxaAyx2G+SK8RkPCRR2gcDHCIi7egr+iSvjzwl8E/hLpv/BRe4+O9j4B0+PxjqPja8sL3xCEY3EtsuguBHydoGEQZABO0ZNfMcR0HVrYOSk1+9itPPr8rfifqfhvxrg+E8BnFCvhlVeKw8oRbt7r1Vnf7D5ryS1bjHTqvsOiiivpz8sP5p/2ffi58f8ASv8AgrX/AMJt8UPiLqvhjxbqHj6+tPG+r3F3FZT2kLO6XUbPKNkKrGpQDooVQvRa/SL4+2P7MfxC8A+Kvir4j+NFv408U+HfC0j6D4kufFNvqWp6DNG/m2j2Pln9xMbzydhVd8sgjjJYEJXuHw8+B/wj0n/goLdfG/T/AIf6fF4u1jxpqtlqWvbGM89uulyhYzklQMRp90AnaM5pn/BRH4G/CD4lfFzS/F/j34e6dqup+FPBz3nh27u42JsJzdE+YgBCk5RCNwOCoIxX5LVymusur1vby5Y1XHl1s3zJc2++t9um5/QHE3iRlvEnFWX42jhnhlSoQi/Z25m4pycFqlyX9xXekdXF/AfVPwlvPGOo/CrwzqHxFtmh8QT+H7KTXYWjCGO8aBDMpUcKRIWGBwK6Ciiv1mK5YpH4HWqKrVlNJK7bstlfovJH55ftj/E+fwx4/wD2lr/4k/EG70a80bw3ZDwh57xRtbaYdKDWs9mj8Sl9TkvE3YO6VFj5wFrS+F/xT8JeNLbwzB4p/asl8V6+1pBL/YN/43s7sfb2t8SFIIsEuu6UADOATxX1/wDEn9mH9n/4wfEfwt8Xvid8J9I1rxL4KnM3hbWL2AtNp8hZX3IQcHDKrLuB2sMjB5ruFtbVG3pbRgjoQgr4vEcKYvEYqvU+tOMajbsk3dPo9Vtst9D7HHcR5VVwOHhQw/7yMY87aiknGEYLkau2pcrnJtJ80rWduaXN/BbwkfA/wt0bwyxl3QWxdhPjeGkdpCDgDGC5GPauooor7ChSVCjGmvspL7lY+MnJzm5dwrxbV/h+2sftNw6k2myW/k6nFqsk0KnE5jtPIVmJyOgVOMfcHvXtNFcmYYBY/wBleVuScZ+tuhth8Q8PzWV+ZNfeFFFFegc4UUUUAeL/AAX+H5sPjZqniNtMksxp0OoQiGNSIt93dRTOctySTHuGD0cnuK9ooorz8swCy3DexUubVu783c6MViHiavO1bRL7jl/jdf8AjnSvgv4v1T4YWzzeJbbwvqEvh2GKESNJfLbSGBQrcMTIEGDwelfm9Z/G/wALeG7n4A2PhT9pm+0CLV/DV+/iDU18QWttc3Vn9hRpJbqWbJjlOoxwqw4Jl85SPkYL+pNcD8LP2W/2efgl4y8U/EL4UfCPRtC1rxtffbPFOo2NtiTUZ98j73ySB88sjYXAJcnGa83O8lxGa16M6dZ0+S+1769Vqtem+x9HkWd5Zl2W4ijiaPPOV3DSNm3GULTb1Sjzc8LJ+8rNK/NH59+Akfg34s+NbRvC3xdk8aT2+u2N7qmrLr8Gozxi2lWaKOR4vlRP3ZABAJ3Ng5PH2BTY4YYc+VEq567VxTq6smyqWVUpxlVdRyd236Jd3+Z4GMxaxc4tR5UlawVzF78LtJvfiJD8QpLt/MiQbrbYNrSBdqvnrwO3qB9D09FehiMLh8UoqrG/K1JeTWzOenVqUm3B2urfJnNfEb4aad8RoLSK9v5LdrSYsHjQMWRsbl56ZwOe3oa6KCGK2gS3hXakaBUUdgBgU+inDC4elXnWjG0p2u+9tglVqSpqDei2+YUUUVuZnI/HbSRrfwu1KxbTRdKGgmMRBODFMkgcY7qyBv8AgNUv2dfCZ8J/DkBxMG1LUbm/ZZhgqZXzgcDjABGfWu7orz/qCeafXebXk5LfO9zo+sP6r7C3W9/lYK5/4qfCv4d/G74fap8Kviz4Rs9e8O61biHVNJv0LRXCBgwBwQQQyqwIIIKgggiugorvlGM4uMldMzo1quHqxq0pOMotNNOzTWqaa1TT1TWxg/Dr4X/D34S+BtK+Gnw28IWOj6DolklppWmWcIEdvCo4UZyT6kkkkkkkkk1uqqqAqqAB0AFLRRGMYpJKyQqtWpXqSqVJOUpNttu7berbb3b6sKKKKZAV4vpfw/N1+06dbOmSWwsNTm1RmhU7Jmeze1DMTnOVk7Y5T2Ir2iivPx2AWOnRk5W9nNT9bX0OihiHQU0lfmTX3hRRRXoHOflVcfG/VtA+EPwv1jxR8dL/AMOePdV+LUkPjO7l1K2tL2C8M92NZgm83It44Y3dRgDYotwPvru958ATeBPjVrV14W0D49TeOdS1C2S1uJm8UW+o3NnbF8HaIhiNMsSSwxnvX0/4e/Zd/Z78KfHDWv2k/Dvwk0a08deIrJbTWvE0Vv8A6TdwgRjaxzgZ8mLJABbYuScV3UdvBEd0UKKfVVAr4WnwfirONTFPlcr2Sdnre713fo9e59vnnEuV42uqmCw/LfmbbUU1KbbcY8t/ch8Mdm1d2jflT6KKK+6PiAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK8f8A2zf26v2cv2CPh9p/xJ/aO8UX1jY6tqhsNMtdI0a41C7uZVhknlZILdGkKRQQyzSPjaiRsxIr2Cvgf/gtx4c+JegeIvg3+0f4P+C3ivx7pHg9fGuja5ofgvRJNSvkm1vwzd6fZTfZ48sYvtJSJ36RrPuPANAH3T4V8UeHvHHhfTfGvhHWINR0nWLCG90vULV90VzbyoJI5UPdWRlYH0NX68i/4J//AAm8Z/Ab9hb4OfBP4ix7Nf8ACfww0LSdbi3hvKu7ewhiljyOCFdWXPfbXrtABXM/Gb4veBvgF8Ktf+M/xLv7i20Hw3psl9qc1pYy3MoiQZIjiiVnkcnAVVBJJAFdNXIfH74gaV8K/gn4p+Iet6JrWpWuk6JcTz2HhzRptRvpwEI2wW0CtJM5zwigk0ARfs7fHz4c/tSfA7wv+0P8Ir66ufDPi/SItS0Se9s3t5Xgk+6Xjf5kPHQ812lfIv8AwQp17Ur3/glr8KPBviD4feLfDGseD/D8eg65pPjLwvdaTdJdwKrOUiuURpIv3g2ygbWIYA5Bx9dUAFJJIkUbSyMAqgliewpaSRxHG0jAkKCSAMk0AeJfslf8FCv2Y/21/Efi3wd8DPEWsPq3gqW2/tvS/EHhu80u4+z3Ic215FHdRo01tMI5DHMoKttOO2fbq+Av+CQ/xZ1D9p79qD49/tYfFf4QfEbwd458VXljpemaD4x+HuoaRaaR4V06W5h023iubmJI7u5maS4u5/LJCG4RBwmT9+0AFFFFAHiN1/wUK/Zo0/8AbHsv2FtS1nXbXx3qcUx0trrwveR6XfTw2q3ktpDftGLeW4S3ZZWiVyyqecHivbq/Pb4z6d4p+Jv/AAXR+Dvin4XfB/4uR3vgG31qy+IeteJdKuP+EMj0KbSHMF3pssha3F7Jdywwl4NsxWORJBtUV+hNABRRRQB5Z+1h+2X8Av2KvCfh3xl+0B4ql0y08V+MbDwvoKW1m9xLd6leOVhiVEBOPlZmboqqSa9Tr8vv+Dg/4JftsfEnxN4C+IHwL/ZeX4m+FPCcujNZw2niYWt1pWuSeJ9Lle4+yrBLJcK1taJbmYbVtorm5lbcqstfp3p017cafBPqNmtvcPCrT26y7xE5ALKGwN2DkZwM4oAmooooA80/aw/au+Ff7GnwoHxi+L1tr1xpsmtWWk2tl4Y0CfVL+7vLuYQwQw21urSSu7sFAUE811Pwk+Jej/GT4aaJ8U/D+ia3ptlrunpd21h4k0abTr+BGHCT206rJA47o4BFeFf8FYfCHwh8ZfsofZPjj4O+LuseH7HxXpmoyH4H2txL4hsbi3lMtvdQi2/fqqTLHl4fnUlTwoYjU/4JTL+0mn/BO/4Tr+142sn4hf8ACML/AG8fEjZ1Lb50n2b7Wev2n7N5Hm558zfnnNAH0HRRRQBW1nWNK8PaRd+INd1CG0sbG2kuLy7uJAscMSKWd2Y8BQoJJ7AV5d+yD+2x8B/25PAl98Sf2f7/AFu50iyvxbrc634au9N+1o0ayRXVuLmNDPbSowaOZMo4zg8EVd/bW+Gvi/4z/sb/ABZ+D/w+I/t7xV8NNd0jRMvtBu7nT54YRk9Pndea+P8A/g3o8NftD+Efgt438PfE3TfizY+C7G48PWngrTvjKs66pa30Wh2setxwLcfvEsF1BXWBR+6Cq3l/JigD9DaKKKACvnz4R/8ABS79nn4yftZap+xZonhr4g6R440yx1G+8rxT8PtQ0yzvbWyuUtp7i2ubiNY7iLzJECyRkq4YEE5FfQdfKH7Ofgfxn8Rv+CqHx8/ab8aeE9UsNJ8J+F/D/wAN/h/dalp8sCXsCo+rapc25kUCWJrm7t4fMTKlrMjOVNAH1fRRRQAV4F8av+CmH7JH7P37UPhn9kH4l+M9TtvGPih9PS1W18P3VxY2T388lvYJd3caGK1a5mikjiEjAuykCvfa/KD/AIKR/Bv44+Kv+CzXw/8AG/h34E+OtXmj1D4dt4B1nQNCkm8My2tprV/Nr767Ko8rzba1ljltDOd0bvuh+YmgD9X6KKKAP//Z", 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", "info": {"equation": "6+10*1=16", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "4f3c4d5a9930675843802e0df58f8b7774bee467ebe6db541f017cf1b6c614a7"}